Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(295,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.295");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.f (of order \(3\), 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: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-2}, \sqrt{-3})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - 2x^{2} + 4 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 589.2 | ||
Root | \(1.22474 - 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.589 |
Dual form | 882.2.f.j.295.1 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.500000 | − | 0.866025i | −0.353553 | − | 0.612372i | ||||
\(3\) | −1.00000 | + | 1.41421i | −0.577350 | + | 0.816497i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −0.724745 | + | 1.25529i | −0.324116 | + | 0.561385i | −0.981333 | − | 0.192316i | \(-0.938400\pi\) |
0.657217 | + | 0.753701i | \(0.271733\pi\) | |||||||
\(6\) | 1.72474 | + | 0.158919i | 0.704124 | + | 0.0648783i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.00000 | − | 2.82843i | −0.333333 | − | 0.942809i | ||||
\(10\) | 1.44949 | 0.458369 | ||||||||
\(11\) | −1.00000 | − | 1.73205i | −0.301511 | − | 0.522233i | 0.674967 | − | 0.737848i | \(-0.264158\pi\) |
−0.976478 | + | 0.215615i | \(0.930824\pi\) | |||||||
\(12\) | −0.724745 | − | 1.57313i | −0.209216 | − | 0.454124i | ||||
\(13\) | 2.44949 | − | 4.24264i | 0.679366 | − | 1.17670i | −0.295806 | − | 0.955248i | \(-0.595588\pi\) |
0.975172 | − | 0.221449i | \(-0.0710785\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.05051 | − | 2.28024i | −0.271241 | − | 0.588755i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.00000 | −0.485071 | −0.242536 | − | 0.970143i | \(-0.577979\pi\) | ||||
−0.242536 | + | 0.970143i | \(0.577979\pi\) | |||||||
\(18\) | −1.94949 | + | 2.28024i | −0.459499 | + | 0.537457i | ||||
\(19\) | −2.55051 | −0.585127 | −0.292564 | − | 0.956246i | \(-0.594508\pi\) | ||||
−0.292564 | + | 0.956246i | \(0.594508\pi\) | |||||||
\(20\) | −0.724745 | − | 1.25529i | −0.162058 | − | 0.280692i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.00000 | + | 1.73205i | −0.213201 | + | 0.369274i | ||||
\(23\) | 0.500000 | − | 0.866025i | 0.104257 | − | 0.180579i | −0.809177 | − | 0.587565i | \(-0.800087\pi\) |
0.913434 | + | 0.406986i | \(0.133420\pi\) | |||||||
\(24\) | −1.00000 | + | 1.41421i | −0.204124 | + | 0.288675i | ||||
\(25\) | 1.44949 | + | 2.51059i | 0.289898 | + | 0.502118i | ||||
\(26\) | −4.89898 | −0.960769 | ||||||||
\(27\) | 5.00000 | + | 1.41421i | 0.962250 | + | 0.272166i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.44949 | + | 5.97469i | 0.640554 | + | 1.10947i | 0.985309 | + | 0.170780i | \(0.0546286\pi\) |
−0.344755 | + | 0.938693i | \(0.612038\pi\) | |||||||
\(30\) | −1.44949 | + | 2.04989i | −0.264639 | + | 0.374257i | ||||
\(31\) | 3.00000 | − | 5.19615i | 0.538816 | − | 0.933257i | −0.460152 | − | 0.887840i | \(-0.652205\pi\) |
0.998968 | − | 0.0454165i | \(-0.0144615\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 3.44949 | + | 0.317837i | 0.600479 | + | 0.0553284i | ||||
\(34\) | 1.00000 | + | 1.73205i | 0.171499 | + | 0.297044i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.94949 | + | 0.548188i | 0.491582 | + | 0.0913647i | ||||
\(37\) | 11.7980 | 1.93957 | 0.969786 | − | 0.243956i | \(-0.0784453\pi\) | ||||
0.969786 | + | 0.243956i | \(0.0784453\pi\) | |||||||
\(38\) | 1.27526 | + | 2.20881i | 0.206874 | + | 0.358316i | ||||
\(39\) | 3.55051 | + | 7.70674i | 0.568537 | + | 1.23407i | ||||
\(40\) | −0.724745 | + | 1.25529i | −0.114592 | + | 0.198480i | ||||
\(41\) | 4.89898 | − | 8.48528i | 0.765092 | − | 1.32518i | −0.175106 | − | 0.984550i | \(-0.556027\pi\) |
0.940198 | − | 0.340629i | \(-0.110640\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.44949 | − | 5.97469i | −0.526042 | − | 0.911132i | −0.999540 | − | 0.0303367i | \(-0.990342\pi\) |
0.473497 | − | 0.880795i | \(-0.342991\pi\) | |||||||
\(44\) | 2.00000 | 0.301511 | ||||||||
\(45\) | 4.27526 | + | 0.794593i | 0.637317 | + | 0.118451i | ||||
\(46\) | −1.00000 | −0.147442 | ||||||||
\(47\) | 4.89898 | + | 8.48528i | 0.714590 | + | 1.23771i | 0.963118 | + | 0.269081i | \(0.0867199\pi\) |
−0.248528 | + | 0.968625i | \(0.579947\pi\) | |||||||
\(48\) | 1.72474 | + | 0.158919i | 0.248945 | + | 0.0229379i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.44949 | − | 2.51059i | 0.204989 | − | 0.355051i | ||||
\(51\) | 2.00000 | − | 2.82843i | 0.280056 | − | 0.396059i | ||||
\(52\) | 2.44949 | + | 4.24264i | 0.339683 | + | 0.588348i | ||||
\(53\) | −10.8990 | −1.49709 | −0.748545 | − | 0.663084i | \(-0.769247\pi\) | ||||
−0.748545 | + | 0.663084i | \(0.769247\pi\) | |||||||
\(54\) | −1.27526 | − | 5.03723i | −0.173540 | − | 0.685481i | ||||
\(55\) | 2.89898 | 0.390898 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.55051 | − | 3.60697i | 0.337823 | − | 0.477754i | ||||
\(58\) | 3.44949 | − | 5.97469i | 0.452940 | − | 0.784515i | ||||
\(59\) | −1.00000 | + | 1.73205i | −0.130189 | + | 0.225494i | −0.923749 | − | 0.382998i | \(-0.874892\pi\) |
0.793560 | + | 0.608492i | \(0.208225\pi\) | |||||||
\(60\) | 2.50000 | + | 0.230351i | 0.322749 | + | 0.0297382i | ||||
\(61\) | 3.27526 | + | 5.67291i | 0.419353 | + | 0.726341i | 0.995875 | − | 0.0907408i | \(-0.0289235\pi\) |
−0.576521 | + | 0.817082i | \(0.695590\pi\) | |||||||
\(62\) | −6.00000 | −0.762001 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.55051 | + | 6.14966i | 0.440387 | + | 0.762772i | ||||
\(66\) | −1.44949 | − | 3.14626i | −0.178420 | − | 0.387278i | ||||
\(67\) | 6.44949 | − | 11.1708i | 0.787931 | − | 1.36474i | −0.139302 | − | 0.990250i | \(-0.544486\pi\) |
0.927233 | − | 0.374486i | \(-0.122181\pi\) | |||||||
\(68\) | 1.00000 | − | 1.73205i | 0.121268 | − | 0.210042i | ||||
\(69\) | 0.724745 | + | 1.57313i | 0.0872490 | + | 0.189383i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 0.101021 | 0.0119889 | 0.00599446 | − | 0.999982i | \(-0.498092\pi\) | ||||
0.00599446 | + | 0.999982i | \(0.498092\pi\) | |||||||
\(72\) | −1.00000 | − | 2.82843i | −0.117851 | − | 0.333333i | ||||
\(73\) | 6.89898 | 0.807464 | 0.403732 | − | 0.914877i | \(-0.367713\pi\) | ||||
0.403732 | + | 0.914877i | \(0.367713\pi\) | |||||||
\(74\) | −5.89898 | − | 10.2173i | −0.685742 | − | 1.18774i | ||||
\(75\) | −5.00000 | − | 0.460702i | −0.577350 | − | 0.0531973i | ||||
\(76\) | 1.27526 | − | 2.20881i | 0.146282 | − | 0.253368i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.89898 | − | 6.92820i | 0.554700 | − | 0.784465i | ||||
\(79\) | 0.949490 | + | 1.64456i | 0.106826 | + | 0.185028i | 0.914483 | − | 0.404625i | \(-0.132598\pi\) |
−0.807657 | + | 0.589653i | \(0.799265\pi\) | |||||||
\(80\) | 1.44949 | 0.162058 | ||||||||
\(81\) | −7.00000 | + | 5.65685i | −0.777778 | + | 0.628539i | ||||
\(82\) | −9.79796 | −1.08200 | ||||||||
\(83\) | 1.00000 | + | 1.73205i | 0.109764 | + | 0.190117i | 0.915675 | − | 0.401920i | \(-0.131657\pi\) |
−0.805910 | + | 0.592037i | \(0.798324\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.44949 | − | 2.51059i | 0.157219 | − | 0.272312i | ||||
\(86\) | −3.44949 | + | 5.97469i | −0.371968 | + | 0.644268i | ||||
\(87\) | −11.8990 | − | 1.09638i | −1.27570 | − | 0.117544i | ||||
\(88\) | −1.00000 | − | 1.73205i | −0.106600 | − | 0.184637i | ||||
\(89\) | 16.8990 | 1.79129 | 0.895644 | − | 0.444771i | \(-0.146715\pi\) | ||||
0.895644 | + | 0.444771i | \(0.146715\pi\) | |||||||
\(90\) | −1.44949 | − | 4.09978i | −0.152790 | − | 0.432154i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.500000 | + | 0.866025i | 0.0521286 | + | 0.0902894i | ||||
\(93\) | 4.34847 | + | 9.43879i | 0.450915 | + | 0.978757i | ||||
\(94\) | 4.89898 | − | 8.48528i | 0.505291 | − | 0.875190i | ||||
\(95\) | 1.84847 | − | 3.20164i | 0.189649 | − | 0.328482i | ||||
\(96\) | −0.724745 | − | 1.57313i | −0.0739690 | − | 0.160557i | ||||
\(97\) | 1.44949 | + | 2.51059i | 0.147173 | + | 0.254912i | 0.930182 | − | 0.367099i | \(-0.119649\pi\) |
−0.783008 | + | 0.622011i | \(0.786316\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.89898 | + | 4.56048i | −0.391862 | + | 0.458345i | ||||
\(100\) | −2.89898 | −0.289898 | ||||||||
\(101\) | −8.62372 | − | 14.9367i | −0.858093 | − | 1.48626i | −0.873746 | − | 0.486383i | \(-0.838316\pi\) |
0.0156533 | − | 0.999877i | \(-0.495017\pi\) | |||||||
\(102\) | −3.44949 | − | 0.317837i | −0.341550 | − | 0.0314706i | ||||
\(103\) | 7.00000 | − | 12.1244i | 0.689730 | − | 1.19465i | −0.282194 | − | 0.959357i | \(-0.591062\pi\) |
0.971925 | − | 0.235291i | \(-0.0756043\pi\) | |||||||
\(104\) | 2.44949 | − | 4.24264i | 0.240192 | − | 0.416025i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.44949 | + | 9.43879i | 0.529301 | + | 0.916777i | ||||
\(107\) | −12.0000 | −1.16008 | −0.580042 | − | 0.814587i | \(-0.696964\pi\) | ||||
−0.580042 | + | 0.814587i | \(0.696964\pi\) | |||||||
\(108\) | −3.72474 | + | 3.62302i | −0.358414 | + | 0.348625i | ||||
\(109\) | 12.6969 | 1.21615 | 0.608073 | − | 0.793881i | \(-0.291943\pi\) | ||||
0.608073 | + | 0.793881i | \(0.291943\pi\) | |||||||
\(110\) | −1.44949 | − | 2.51059i | −0.138203 | − | 0.239375i | ||||
\(111\) | −11.7980 | + | 16.6848i | −1.11981 | + | 1.58365i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 3.05051 | − | 5.28364i | 0.286968 | − | 0.497043i | −0.686117 | − | 0.727492i | \(-0.740686\pi\) |
0.973084 | + | 0.230449i | \(0.0740194\pi\) | |||||||
\(114\) | −4.39898 | − | 0.405324i | −0.412002 | − | 0.0379620i | ||||
\(115\) | 0.724745 | + | 1.25529i | 0.0675828 | + | 0.117057i | ||||
\(116\) | −6.89898 | −0.640554 | ||||||||
\(117\) | −14.4495 | − | 2.68556i | −1.33586 | − | 0.248280i | ||||
\(118\) | 2.00000 | 0.184115 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −1.05051 | − | 2.28024i | −0.0958980 | − | 0.208156i | ||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | 3.27526 | − | 5.67291i | 0.296528 | − | 0.513601i | ||||
\(123\) | 7.10102 | + | 15.4135i | 0.640277 | + | 1.38979i | ||||
\(124\) | 3.00000 | + | 5.19615i | 0.269408 | + | 0.466628i | ||||
\(125\) | −11.4495 | −1.02407 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.00000 | −0.266207 | −0.133103 | − | 0.991102i | \(-0.542494\pi\) | ||||
−0.133103 | + | 0.991102i | \(0.542494\pi\) | |||||||
\(128\) | −0.500000 | − | 0.866025i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 11.8990 | + | 1.09638i | 1.04765 | + | 0.0965306i | ||||
\(130\) | 3.55051 | − | 6.14966i | 0.311400 | − | 0.539361i | ||||
\(131\) | −4.27526 | + | 7.40496i | −0.373531 | + | 0.646974i | −0.990106 | − | 0.140322i | \(-0.955186\pi\) |
0.616575 | + | 0.787296i | \(0.288520\pi\) | |||||||
\(132\) | −2.00000 | + | 2.82843i | −0.174078 | + | 0.246183i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.8990 | −1.11430 | ||||||||
\(135\) | −5.39898 | + | 5.25153i | −0.464670 | + | 0.451980i | ||||
\(136\) | −2.00000 | −0.171499 | ||||||||
\(137\) | −3.89898 | − | 6.75323i | −0.333112 | − | 0.576967i | 0.650008 | − | 0.759927i | \(-0.274765\pi\) |
−0.983120 | + | 0.182960i | \(0.941432\pi\) | |||||||
\(138\) | 1.00000 | − | 1.41421i | 0.0851257 | − | 0.120386i | ||||
\(139\) | 2.27526 | − | 3.94086i | 0.192985 | − | 0.334259i | −0.753253 | − | 0.657730i | \(-0.771517\pi\) |
0.946238 | + | 0.323471i | \(0.104850\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −16.8990 | − | 1.55708i | −1.42315 | − | 0.131130i | ||||
\(142\) | −0.0505103 | − | 0.0874863i | −0.00423873 | − | 0.00734169i | ||||
\(143\) | −9.79796 | −0.819346 | ||||||||
\(144\) | −1.94949 | + | 2.28024i | −0.162457 | + | 0.190020i | ||||
\(145\) | −10.0000 | −0.830455 | ||||||||
\(146\) | −3.44949 | − | 5.97469i | −0.285482 | − | 0.494469i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.89898 | + | 10.2173i | −0.484893 | + | 0.839860i | ||||
\(149\) | 3.00000 | − | 5.19615i | 0.245770 | − | 0.425685i | −0.716578 | − | 0.697507i | \(-0.754293\pi\) |
0.962348 | + | 0.271821i | \(0.0876260\pi\) | |||||||
\(150\) | 2.10102 | + | 4.56048i | 0.171548 | + | 0.372361i | ||||
\(151\) | 2.50000 | + | 4.33013i | 0.203447 | + | 0.352381i | 0.949637 | − | 0.313353i | \(-0.101452\pi\) |
−0.746190 | + | 0.665733i | \(0.768119\pi\) | |||||||
\(152\) | −2.55051 | −0.206874 | ||||||||
\(153\) | 2.00000 | + | 5.65685i | 0.161690 | + | 0.457330i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.34847 | + | 7.53177i | 0.349277 | + | 0.604966i | ||||
\(156\) | −8.44949 | − | 0.778539i | −0.676501 | − | 0.0623330i | ||||
\(157\) | −4.17423 | + | 7.22999i | −0.333140 | + | 0.577016i | −0.983126 | − | 0.182931i | \(-0.941442\pi\) |
0.649986 | + | 0.759947i | \(0.274775\pi\) | |||||||
\(158\) | 0.949490 | − | 1.64456i | 0.0755373 | − | 0.130835i | ||||
\(159\) | 10.8990 | − | 15.4135i | 0.864345 | − | 1.22237i | ||||
\(160\) | −0.724745 | − | 1.25529i | −0.0572961 | − | 0.0992398i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 8.39898 | + | 3.23375i | 0.659886 | + | 0.254067i | ||||
\(163\) | −19.7980 | −1.55070 | −0.775348 | − | 0.631534i | \(-0.782425\pi\) | ||||
−0.775348 | + | 0.631534i | \(0.782425\pi\) | |||||||
\(164\) | 4.89898 | + | 8.48528i | 0.382546 | + | 0.662589i | ||||
\(165\) | −2.89898 | + | 4.09978i | −0.225685 | + | 0.319167i | ||||
\(166\) | 1.00000 | − | 1.73205i | 0.0776151 | − | 0.134433i | ||||
\(167\) | −5.34847 | + | 9.26382i | −0.413877 | + | 0.716856i | −0.995310 | − | 0.0967384i | \(-0.969159\pi\) |
0.581433 | + | 0.813594i | \(0.302492\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.50000 | − | 9.52628i | −0.423077 | − | 0.732791i | ||||
\(170\) | −2.89898 | −0.222342 | ||||||||
\(171\) | 2.55051 | + | 7.21393i | 0.195042 | + | 0.551663i | ||||
\(172\) | 6.89898 | 0.526042 | ||||||||
\(173\) | −1.55051 | − | 2.68556i | −0.117883 | − | 0.204180i | 0.801045 | − | 0.598604i | \(-0.204277\pi\) |
−0.918929 | + | 0.394424i | \(0.870944\pi\) | |||||||
\(174\) | 5.00000 | + | 10.8530i | 0.379049 | + | 0.822764i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.00000 | + | 1.73205i | −0.0753778 | + | 0.130558i | ||||
\(177\) | −1.44949 | − | 3.14626i | −0.108950 | − | 0.236488i | ||||
\(178\) | −8.44949 | − | 14.6349i | −0.633316 | − | 1.09694i | ||||
\(179\) | 20.6969 | 1.54696 | 0.773481 | − | 0.633820i | \(-0.218514\pi\) | ||||
0.773481 | + | 0.633820i | \(0.218514\pi\) | |||||||
\(180\) | −2.82577 | + | 3.30518i | −0.210620 | + | 0.246354i | ||||
\(181\) | 10.3485 | 0.769196 | 0.384598 | − | 0.923084i | \(-0.374340\pi\) | ||||
0.384598 | + | 0.923084i | \(0.374340\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −11.2980 | − | 1.04100i | −0.835169 | − | 0.0769528i | ||||
\(184\) | 0.500000 | − | 0.866025i | 0.0368605 | − | 0.0638442i | ||||
\(185\) | −8.55051 | + | 14.8099i | −0.628646 | + | 1.08885i | ||||
\(186\) | 6.00000 | − | 8.48528i | 0.439941 | − | 0.622171i | ||||
\(187\) | 2.00000 | + | 3.46410i | 0.146254 | + | 0.253320i | ||||
\(188\) | −9.79796 | −0.714590 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.69694 | −0.268204 | ||||||||
\(191\) | −2.05051 | − | 3.55159i | −0.148370 | − | 0.256984i | 0.782255 | − | 0.622958i | \(-0.214069\pi\) |
−0.930625 | + | 0.365974i | \(0.880736\pi\) | |||||||
\(192\) | −1.00000 | + | 1.41421i | −0.0721688 | + | 0.102062i | ||||
\(193\) | 8.94949 | − | 15.5010i | 0.644198 | − | 1.11578i | −0.340288 | − | 0.940321i | \(-0.610524\pi\) |
0.984486 | − | 0.175463i | \(-0.0561422\pi\) | |||||||
\(194\) | 1.44949 | − | 2.51059i | 0.104067 | − | 0.180250i | ||||
\(195\) | −12.2474 | − | 1.12848i | −0.877058 | − | 0.0808124i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 16.6969 | 1.18961 | 0.594804 | − | 0.803871i | \(-0.297230\pi\) | ||||
0.594804 | + | 0.803871i | \(0.297230\pi\) | |||||||
\(198\) | 5.89898 | + | 1.09638i | 0.419222 | + | 0.0779161i | ||||
\(199\) | 2.89898 | 0.205503 | 0.102752 | − | 0.994707i | \(-0.467235\pi\) | ||||
0.102752 | + | 0.994707i | \(0.467235\pi\) | |||||||
\(200\) | 1.44949 | + | 2.51059i | 0.102494 | + | 0.177526i | ||||
\(201\) | 9.34847 | + | 20.2918i | 0.659390 | + | 1.43127i | ||||
\(202\) | −8.62372 | + | 14.9367i | −0.606763 | + | 1.05094i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.44949 | + | 3.14626i | 0.101485 | + | 0.220283i | ||||
\(205\) | 7.10102 | + | 12.2993i | 0.495957 | + | 0.859022i | ||||
\(206\) | −14.0000 | −0.975426 | ||||||||
\(207\) | −2.94949 | − | 0.548188i | −0.205004 | − | 0.0381017i | ||||
\(208\) | −4.89898 | −0.339683 | ||||||||
\(209\) | 2.55051 | + | 4.41761i | 0.176422 | + | 0.305573i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.44949 | + | 11.1708i | −0.444001 | + | 0.769033i | −0.997982 | − | 0.0634968i | \(-0.979775\pi\) |
0.553981 | + | 0.832529i | \(0.313108\pi\) | |||||||
\(212\) | 5.44949 | − | 9.43879i | 0.374272 | − | 0.648259i | ||||
\(213\) | −0.101021 | + | 0.142865i | −0.00692181 | + | 0.00978892i | ||||
\(214\) | 6.00000 | + | 10.3923i | 0.410152 | + | 0.710403i | ||||
\(215\) | 10.0000 | 0.681994 | ||||||||
\(216\) | 5.00000 | + | 1.41421i | 0.340207 | + | 0.0962250i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −6.34847 | − | 10.9959i | −0.429973 | − | 0.744734i | ||||
\(219\) | −6.89898 | + | 9.75663i | −0.466190 | + | 0.659292i | ||||
\(220\) | −1.44949 | + | 2.51059i | −0.0977246 | + | 0.169264i | ||||
\(221\) | −4.89898 | + | 8.48528i | −0.329541 | + | 0.570782i | ||||
\(222\) | 20.3485 | + | 1.87492i | 1.36570 | + | 0.125836i | ||||
\(223\) | −5.55051 | − | 9.61377i | −0.371690 | − | 0.643785i | 0.618136 | − | 0.786071i | \(-0.287888\pi\) |
−0.989826 | + | 0.142286i | \(0.954555\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.65153 | − | 6.61037i | 0.376769 | − | 0.440691i | ||||
\(226\) | −6.10102 | −0.405834 | ||||||||
\(227\) | −2.72474 | − | 4.71940i | −0.180848 | − | 0.313237i | 0.761322 | − | 0.648374i | \(-0.224551\pi\) |
−0.942169 | + | 0.335137i | \(0.891217\pi\) | |||||||
\(228\) | 1.84847 | + | 4.01229i | 0.122418 | + | 0.265720i | ||||
\(229\) | 0.623724 | − | 1.08032i | 0.0412169 | − | 0.0713897i | −0.844681 | − | 0.535270i | \(-0.820210\pi\) |
0.885898 | + | 0.463880i | \(0.153543\pi\) | |||||||
\(230\) | 0.724745 | − | 1.25529i | 0.0477883 | − | 0.0827717i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.44949 | + | 5.97469i | 0.226470 | + | 0.392258i | ||||
\(233\) | −7.00000 | −0.458585 | −0.229293 | − | 0.973358i | \(-0.573641\pi\) | ||||
−0.229293 | + | 0.973358i | \(0.573641\pi\) | |||||||
\(234\) | 4.89898 | + | 13.8564i | 0.320256 | + | 0.905822i | ||||
\(235\) | −14.2020 | −0.926439 | ||||||||
\(236\) | −1.00000 | − | 1.73205i | −0.0650945 | − | 0.112747i | ||||
\(237\) | −3.27526 | − | 0.301783i | −0.212751 | − | 0.0196029i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −3.39898 | + | 5.88721i | −0.219862 | + | 0.380812i | −0.954766 | − | 0.297360i | \(-0.903894\pi\) |
0.734904 | + | 0.678171i | \(0.237227\pi\) | |||||||
\(240\) | −1.44949 | + | 2.04989i | −0.0935642 | + | 0.132320i | ||||
\(241\) | 0.449490 | + | 0.778539i | 0.0289542 | + | 0.0501501i | 0.880139 | − | 0.474715i | \(-0.157449\pi\) |
−0.851185 | + | 0.524865i | \(0.824116\pi\) | |||||||
\(242\) | −7.00000 | −0.449977 | ||||||||
\(243\) | −1.00000 | − | 15.5563i | −0.0641500 | − | 0.997940i | ||||
\(244\) | −6.55051 | −0.419353 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.79796 | − | 13.8564i | 0.624695 | − | 0.883452i | ||||
\(247\) | −6.24745 | + | 10.8209i | −0.397516 | + | 0.688517i | ||||
\(248\) | 3.00000 | − | 5.19615i | 0.190500 | − | 0.329956i | ||||
\(249\) | −3.44949 | − | 0.317837i | −0.218603 | − | 0.0201421i | ||||
\(250\) | 5.72474 | + | 9.91555i | 0.362065 | + | 0.627114i | ||||
\(251\) | −17.4495 | −1.10140 | −0.550701 | − | 0.834703i | \(-0.685640\pi\) | ||||
−0.550701 | + | 0.834703i | \(0.685640\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.00000 | −0.125739 | ||||||||
\(254\) | 1.50000 | + | 2.59808i | 0.0941184 | + | 0.163018i | ||||
\(255\) | 2.10102 | + | 4.56048i | 0.131571 | + | 0.285588i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 4.10102 | − | 7.10318i | 0.255815 | − | 0.443084i | −0.709302 | − | 0.704905i | \(-0.750990\pi\) |
0.965116 | + | 0.261821i | \(0.0843230\pi\) | |||||||
\(258\) | −5.00000 | − | 10.8530i | −0.311286 | − | 0.675679i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −7.10102 | −0.440387 | ||||||||
\(261\) | 13.4495 | − | 15.7313i | 0.832503 | − | 0.973744i | ||||
\(262\) | 8.55051 | 0.528252 | ||||||||
\(263\) | −12.9495 | − | 22.4292i | −0.798500 | − | 1.38304i | −0.920593 | − | 0.390523i | \(-0.872294\pi\) |
0.122093 | − | 0.992519i | \(-0.461039\pi\) | |||||||
\(264\) | 3.44949 | + | 0.317837i | 0.212301 | + | 0.0195615i | ||||
\(265\) | 7.89898 | − | 13.6814i | 0.485230 | − | 0.840444i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −16.8990 | + | 23.8988i | −1.03420 | + | 1.46258i | ||||
\(268\) | 6.44949 | + | 11.1708i | 0.393965 | + | 0.682368i | ||||
\(269\) | 18.3485 | 1.11873 | 0.559363 | − | 0.828923i | \(-0.311046\pi\) | ||||
0.559363 | + | 0.828923i | \(0.311046\pi\) | |||||||
\(270\) | 7.24745 | + | 2.04989i | 0.441066 | + | 0.124752i | ||||
\(271\) | −7.10102 | −0.431356 | −0.215678 | − | 0.976465i | \(-0.569196\pi\) | ||||
−0.215678 | + | 0.976465i | \(0.569196\pi\) | |||||||
\(272\) | 1.00000 | + | 1.73205i | 0.0606339 | + | 0.105021i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.89898 | + | 6.75323i | −0.235546 | + | 0.407978i | ||||
\(275\) | 2.89898 | − | 5.02118i | 0.174815 | − | 0.302789i | ||||
\(276\) | −1.72474 | − | 0.158919i | −0.103817 | − | 0.00956578i | ||||
\(277\) | 9.34847 | + | 16.1920i | 0.561695 | + | 0.972884i | 0.997349 | + | 0.0727700i | \(0.0231839\pi\) |
−0.435654 | + | 0.900114i | \(0.643483\pi\) | |||||||
\(278\) | −4.55051 | −0.272921 | ||||||||
\(279\) | −17.6969 | − | 3.28913i | −1.05949 | − | 0.196915i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.50000 | + | 16.4545i | 0.566722 | + | 0.981592i | 0.996887 | + | 0.0788417i | \(0.0251222\pi\) |
−0.430165 | + | 0.902750i | \(0.641545\pi\) | |||||||
\(282\) | 7.10102 | + | 15.4135i | 0.422860 | + | 0.917860i | ||||
\(283\) | −12.7247 | + | 22.0399i | −0.756408 | + | 1.31014i | 0.188264 | + | 0.982118i | \(0.439714\pi\) |
−0.944672 | + | 0.328018i | \(0.893619\pi\) | |||||||
\(284\) | −0.0505103 | + | 0.0874863i | −0.00299723 | + | 0.00519136i | ||||
\(285\) | 2.67934 | + | 5.81577i | 0.158710 | + | 0.344497i | ||||
\(286\) | 4.89898 | + | 8.48528i | 0.289683 | + | 0.501745i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.94949 | + | 0.548188i | 0.173800 | + | 0.0323023i | ||||
\(289\) | −13.0000 | −0.764706 | ||||||||
\(290\) | 5.00000 | + | 8.66025i | 0.293610 | + | 0.508548i | ||||
\(291\) | −5.00000 | − | 0.460702i | −0.293105 | − | 0.0270068i | ||||
\(292\) | −3.44949 | + | 5.97469i | −0.201866 | + | 0.349642i | ||||
\(293\) | 1.37628 | − | 2.38378i | 0.0804029 | − | 0.139262i | −0.823020 | − | 0.568012i | \(-0.807713\pi\) |
0.903423 | + | 0.428750i | \(0.141046\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.44949 | − | 2.51059i | −0.0843926 | − | 0.146172i | ||||
\(296\) | 11.7980 | 0.685742 | ||||||||
\(297\) | −2.55051 | − | 10.0745i | −0.147996 | − | 0.584580i | ||||
\(298\) | −6.00000 | −0.347571 | ||||||||
\(299\) | −2.44949 | − | 4.24264i | −0.141658 | − | 0.245358i | ||||
\(300\) | 2.89898 | − | 4.09978i | 0.167373 | − | 0.236701i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.50000 | − | 4.33013i | 0.143859 | − | 0.249171i | ||||
\(303\) | 29.7474 | + | 2.74094i | 1.70895 | + | 0.157463i | ||||
\(304\) | 1.27526 | + | 2.20881i | 0.0731409 | + | 0.126684i | ||||
\(305\) | −9.49490 | −0.543676 | ||||||||
\(306\) | 3.89898 | − | 4.56048i | 0.222890 | − | 0.260705i | ||||
\(307\) | −25.2474 | −1.44095 | −0.720474 | − | 0.693482i | \(-0.756076\pi\) | ||||
−0.720474 | + | 0.693482i | \(0.756076\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.1464 | + | 22.0239i | 0.577210 | + | 1.25289i | ||||
\(310\) | 4.34847 | − | 7.53177i | 0.246976 | − | 0.427776i | ||||
\(311\) | 15.3485 | − | 26.5843i | 0.870332 | − | 1.50746i | 0.00867810 | − | 0.999962i | \(-0.497238\pi\) |
0.861654 | − | 0.507497i | \(-0.169429\pi\) | |||||||
\(312\) | 3.55051 | + | 7.70674i | 0.201008 | + | 0.436308i | ||||
\(313\) | −2.34847 | − | 4.06767i | −0.132743 | − | 0.229918i | 0.791990 | − | 0.610534i | \(-0.209045\pi\) |
−0.924733 | + | 0.380616i | \(0.875712\pi\) | |||||||
\(314\) | 8.34847 | 0.471131 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.89898 | −0.106826 | ||||||||
\(317\) | −10.3485 | − | 17.9241i | −0.581228 | − | 1.00672i | −0.995334 | − | 0.0964878i | \(-0.969239\pi\) |
0.414106 | − | 0.910229i | \(-0.364094\pi\) | |||||||
\(318\) | −18.7980 | − | 1.73205i | −1.05414 | − | 0.0971286i | ||||
\(319\) | 6.89898 | − | 11.9494i | 0.386269 | − | 0.669037i | ||||
\(320\) | −0.724745 | + | 1.25529i | −0.0405145 | + | 0.0701731i | ||||
\(321\) | 12.0000 | − | 16.9706i | 0.669775 | − | 0.947204i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.10102 | 0.283828 | ||||||||
\(324\) | −1.39898 | − | 8.89060i | −0.0777211 | − | 0.493922i | ||||
\(325\) | 14.2020 | 0.787787 | ||||||||
\(326\) | 9.89898 | + | 17.1455i | 0.548254 | + | 0.949603i | ||||
\(327\) | −12.6969 | + | 17.9562i | −0.702142 | + | 0.992979i | ||||
\(328\) | 4.89898 | − | 8.48528i | 0.270501 | − | 0.468521i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.00000 | + | 0.460702i | 0.275241 | + | 0.0253608i | ||||
\(331\) | −2.34847 | − | 4.06767i | −0.129084 | − | 0.223579i | 0.794238 | − | 0.607606i | \(-0.207870\pi\) |
−0.923322 | + | 0.384027i | \(0.874537\pi\) | |||||||
\(332\) | −2.00000 | −0.109764 | ||||||||
\(333\) | −11.7980 | − | 33.3697i | −0.646524 | − | 1.82865i | ||||
\(334\) | 10.6969 | 0.585310 | ||||||||
\(335\) | 9.34847 | + | 16.1920i | 0.510761 | + | 0.884665i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.6969 | − | 20.2597i | 0.637173 | − | 1.10362i | −0.348877 | − | 0.937168i | \(-0.613437\pi\) |
0.986050 | − | 0.166447i | \(-0.0532296\pi\) | |||||||
\(338\) | −5.50000 | + | 9.52628i | −0.299161 | + | 0.518161i | ||||
\(339\) | 4.42168 | + | 9.59771i | 0.240153 | + | 0.521276i | ||||
\(340\) | 1.44949 | + | 2.51059i | 0.0786096 | + | 0.136156i | ||||
\(341\) | −12.0000 | −0.649836 | ||||||||
\(342\) | 4.97219 | − | 5.81577i | 0.268865 | − | 0.314481i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.44949 | − | 5.97469i | −0.185984 | − | 0.322134i | ||||
\(345\) | −2.50000 | − | 0.230351i | −0.134595 | − | 0.0124017i | ||||
\(346\) | −1.55051 | + | 2.68556i | −0.0833559 | + | 0.144377i | ||||
\(347\) | −9.79796 | + | 16.9706i | −0.525982 | + | 0.911028i | 0.473560 | + | 0.880762i | \(0.342969\pi\) |
−0.999542 | + | 0.0302659i | \(0.990365\pi\) | |||||||
\(348\) | 6.89898 | − | 9.75663i | 0.369824 | − | 0.523010i | ||||
\(349\) | 5.55051 | + | 9.61377i | 0.297112 | + | 0.514613i | 0.975474 | − | 0.220115i | \(-0.0706432\pi\) |
−0.678362 | + | 0.734728i | \(0.737310\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 18.2474 | − | 17.7491i | 0.973977 | − | 0.947377i | ||||
\(352\) | 2.00000 | 0.106600 | ||||||||
\(353\) | −3.00000 | − | 5.19615i | −0.159674 | − | 0.276563i | 0.775077 | − | 0.631867i | \(-0.217711\pi\) |
−0.934751 | + | 0.355303i | \(0.884378\pi\) | |||||||
\(354\) | −2.00000 | + | 2.82843i | −0.106299 | + | 0.150329i | ||||
\(355\) | −0.0732141 | + | 0.126811i | −0.00388580 | + | 0.00673040i | ||||
\(356\) | −8.44949 | + | 14.6349i | −0.447822 | + | 0.775651i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.3485 | − | 17.9241i | −0.546934 | − | 0.947317i | ||||
\(359\) | −8.79796 | −0.464339 | −0.232169 | − | 0.972675i | \(-0.574582\pi\) | ||||
−0.232169 | + | 0.972675i | \(0.574582\pi\) | |||||||
\(360\) | 4.27526 | + | 0.794593i | 0.225326 | + | 0.0418787i | ||||
\(361\) | −12.4949 | −0.657626 | ||||||||
\(362\) | −5.17423 | − | 8.96204i | −0.271952 | − | 0.471034i | ||||
\(363\) | 5.07321 | + | 11.0119i | 0.266275 | + | 0.577976i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.00000 | + | 8.66025i | −0.261712 | + | 0.453298i | ||||
\(366\) | 4.74745 | + | 10.3048i | 0.248153 | + | 0.538641i | ||||
\(367\) | −6.89898 | − | 11.9494i | −0.360124 | − | 0.623753i | 0.627857 | − | 0.778329i | \(-0.283932\pi\) |
−0.987981 | + | 0.154576i | \(0.950599\pi\) | |||||||
\(368\) | −1.00000 | −0.0521286 | ||||||||
\(369\) | −28.8990 | − | 5.37113i | −1.50442 | − | 0.279610i | ||||
\(370\) | 17.1010 | 0.889040 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −10.3485 | − | 0.953512i | −0.536543 | − | 0.0494373i | ||||
\(373\) | 3.44949 | − | 5.97469i | 0.178608 | − | 0.309358i | −0.762796 | − | 0.646639i | \(-0.776174\pi\) |
0.941404 | + | 0.337281i | \(0.109507\pi\) | |||||||
\(374\) | 2.00000 | − | 3.46410i | 0.103418 | − | 0.179124i | ||||
\(375\) | 11.4495 | − | 16.1920i | 0.591249 | − | 0.836153i | ||||
\(376\) | 4.89898 | + | 8.48528i | 0.252646 | + | 0.437595i | ||||
\(377\) | 33.7980 | 1.74068 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.4949 | 1.15549 | 0.577743 | − | 0.816219i | \(-0.303934\pi\) | ||||
0.577743 | + | 0.816219i | \(0.303934\pi\) | |||||||
\(380\) | 1.84847 | + | 3.20164i | 0.0948245 | + | 0.164241i | ||||
\(381\) | 3.00000 | − | 4.24264i | 0.153695 | − | 0.217357i | ||||
\(382\) | −2.05051 | + | 3.55159i | −0.104913 | + | 0.181715i | ||||
\(383\) | −1.44949 | + | 2.51059i | −0.0740655 | + | 0.128285i | −0.900679 | − | 0.434484i | \(-0.856931\pi\) |
0.826614 | + | 0.562769i | \(0.190264\pi\) | |||||||
\(384\) | 1.72474 | + | 0.158919i | 0.0880155 | + | 0.00810978i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −17.8990 | −0.911034 | ||||||||
\(387\) | −13.4495 | + | 15.7313i | −0.683676 | + | 0.799668i | ||||
\(388\) | −2.89898 | −0.147173 | ||||||||
\(389\) | 12.4495 | + | 21.5631i | 0.631214 | + | 1.09330i | 0.987304 | + | 0.158843i | \(0.0507764\pi\) |
−0.356090 | + | 0.934452i | \(0.615890\pi\) | |||||||
\(390\) | 5.14643 | + | 11.1708i | 0.260600 | + | 0.565658i | ||||
\(391\) | −1.00000 | + | 1.73205i | −0.0505722 | + | 0.0875936i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.19694 | − | 13.4511i | −0.312594 | − | 0.678517i | ||||
\(394\) | −8.34847 | − | 14.4600i | −0.420590 | − | 0.728483i | ||||
\(395\) | −2.75255 | −0.138496 | ||||||||
\(396\) | −2.00000 | − | 5.65685i | −0.100504 | − | 0.284268i | ||||
\(397\) | −38.6969 | −1.94214 | −0.971072 | − | 0.238788i | \(-0.923250\pi\) | ||||
−0.971072 | + | 0.238788i | \(0.923250\pi\) | |||||||
\(398\) | −1.44949 | − | 2.51059i | −0.0726564 | − | 0.125844i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.44949 | − | 2.51059i | 0.0724745 | − | 0.125529i | ||||
\(401\) | 9.94949 | − | 17.2330i | 0.496854 | − | 0.860576i | −0.503140 | − | 0.864205i | \(-0.667822\pi\) |
0.999993 | + | 0.00362911i | \(0.00115518\pi\) | |||||||
\(402\) | 12.8990 | − | 18.2419i | 0.643343 | − | 0.909824i | ||||
\(403\) | −14.6969 | − | 25.4558i | −0.732107 | − | 1.26805i | ||||
\(404\) | 17.2474 | 0.858093 | ||||||||
\(405\) | −2.02781 | − | 12.8868i | −0.100763 | − | 0.640352i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.7980 | − | 20.4347i | −0.584803 | − | 1.01291i | ||||
\(408\) | 2.00000 | − | 2.82843i | 0.0990148 | − | 0.140028i | ||||
\(409\) | −6.89898 | + | 11.9494i | −0.341133 | + | 0.590859i | −0.984643 | − | 0.174578i | \(-0.944144\pi\) |
0.643511 | + | 0.765437i | \(0.277477\pi\) | |||||||
\(410\) | 7.10102 | − | 12.2993i | 0.350694 | − | 0.607421i | ||||
\(411\) | 13.4495 | + | 1.23924i | 0.663414 | + | 0.0611272i | ||||
\(412\) | 7.00000 | + | 12.1244i | 0.344865 | + | 0.597324i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 1.00000 | + | 2.82843i | 0.0491473 | + | 0.139010i | ||||
\(415\) | −2.89898 | −0.142305 | ||||||||
\(416\) | 2.44949 | + | 4.24264i | 0.120096 | + | 0.208013i | ||||
\(417\) | 3.29796 | + | 7.15855i | 0.161502 | + | 0.350556i | ||||
\(418\) | 2.55051 | − | 4.41761i | 0.124750 | − | 0.216073i | ||||
\(419\) | 14.7247 | − | 25.5040i | 0.719351 | − | 1.24595i | −0.241906 | − | 0.970300i | \(-0.577773\pi\) |
0.961257 | − | 0.275653i | \(-0.0888940\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.4495 | − | 19.8311i | −0.558014 | − | 0.966509i | −0.997662 | − | 0.0683385i | \(-0.978230\pi\) |
0.439648 | − | 0.898170i | \(-0.355103\pi\) | |||||||
\(422\) | 12.8990 | 0.627912 | ||||||||
\(423\) | 19.1010 | − | 22.3417i | 0.928723 | − | 1.08629i | ||||
\(424\) | −10.8990 | −0.529301 | ||||||||
\(425\) | −2.89898 | − | 5.02118i | −0.140621 | − | 0.243563i | ||||
\(426\) | 0.174235 | + | 0.0160540i | 0.00844169 | + | 0.000777821i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6.00000 | − | 10.3923i | 0.290021 | − | 0.502331i | ||||
\(429\) | 9.79796 | − | 13.8564i | 0.473050 | − | 0.668994i | ||||
\(430\) | −5.00000 | − | 8.66025i | −0.241121 | − | 0.417635i | ||||
\(431\) | 31.5959 | 1.52192 | 0.760961 | − | 0.648798i | \(-0.224728\pi\) | ||||
0.760961 | + | 0.648798i | \(0.224728\pi\) | |||||||
\(432\) | −1.27526 | − | 5.03723i | −0.0613557 | − | 0.242354i | ||||
\(433\) | 7.79796 | 0.374746 | 0.187373 | − | 0.982289i | \(-0.440003\pi\) | ||||
0.187373 | + | 0.982289i | \(0.440003\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.0000 | − | 14.1421i | 0.479463 | − | 0.678064i | ||||
\(436\) | −6.34847 | + | 10.9959i | −0.304037 | + | 0.526607i | ||||
\(437\) | −1.27526 | + | 2.20881i | −0.0610037 | + | 0.105662i | ||||
\(438\) | 11.8990 | + | 1.09638i | 0.568555 | + | 0.0523869i | ||||
\(439\) | 1.10102 | + | 1.90702i | 0.0525488 | + | 0.0910173i | 0.891103 | − | 0.453801i | \(-0.149932\pi\) |
−0.838554 | + | 0.544818i | \(0.816599\pi\) | |||||||
\(440\) | 2.89898 | 0.138203 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.79796 | 0.466041 | ||||||||
\(443\) | 7.44949 | + | 12.9029i | 0.353936 | + | 0.613035i | 0.986935 | − | 0.161117i | \(-0.0515098\pi\) |
−0.632999 | + | 0.774152i | \(0.718176\pi\) | |||||||
\(444\) | −8.55051 | − | 18.5597i | −0.405789 | − | 0.880807i | ||||
\(445\) | −12.2474 | + | 21.2132i | −0.580585 | + | 1.00560i | ||||
\(446\) | −5.55051 | + | 9.61377i | −0.262824 | + | 0.455225i | ||||
\(447\) | 4.34847 | + | 9.43879i | 0.205676 | + | 0.446440i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 20.5959 | 0.971981 | 0.485991 | − | 0.873964i | \(-0.338459\pi\) | ||||
0.485991 | + | 0.873964i | \(0.338459\pi\) | |||||||
\(450\) | −8.55051 | − | 1.58919i | −0.403075 | − | 0.0749150i | ||||
\(451\) | −19.5959 | −0.922736 | ||||||||
\(452\) | 3.05051 | + | 5.28364i | 0.143484 | + | 0.248521i | ||||
\(453\) | −8.62372 | − | 0.794593i | −0.405178 | − | 0.0373332i | ||||
\(454\) | −2.72474 | + | 4.71940i | −0.127879 | + | 0.221492i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.55051 | − | 3.60697i | 0.119439 | − | 0.168912i | ||||
\(457\) | 8.74745 | + | 15.1510i | 0.409188 | + | 0.708735i | 0.994799 | − | 0.101857i | \(-0.0324785\pi\) |
−0.585611 | + | 0.810593i | \(0.699145\pi\) | |||||||
\(458\) | −1.24745 | −0.0582895 | ||||||||
\(459\) | −10.0000 | − | 2.82843i | −0.466760 | − | 0.132020i | ||||
\(460\) | −1.44949 | −0.0675828 | ||||||||
\(461\) | 2.82577 | + | 4.89437i | 0.131609 | + | 0.227954i | 0.924297 | − | 0.381674i | \(-0.124652\pi\) |
−0.792688 | + | 0.609628i | \(0.791319\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.84847 | + | 3.20164i | −0.0859057 | + | 0.148793i | −0.905777 | − | 0.423755i | \(-0.860712\pi\) |
0.819871 | + | 0.572548i | \(0.194045\pi\) | |||||||
\(464\) | 3.44949 | − | 5.97469i | 0.160139 | − | 0.277368i | ||||
\(465\) | −15.0000 | − | 1.38211i | −0.695608 | − | 0.0640936i | ||||
\(466\) | 3.50000 | + | 6.06218i | 0.162134 | + | 0.280825i | ||||
\(467\) | −10.0000 | −0.462745 | −0.231372 | − | 0.972865i | \(-0.574322\pi\) | ||||
−0.231372 | + | 0.972865i | \(0.574322\pi\) | |||||||
\(468\) | 9.55051 | − | 11.1708i | 0.441472 | − | 0.516372i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 7.10102 | + | 12.2993i | 0.327546 | + | 0.567326i | ||||
\(471\) | −6.05051 | − | 13.1332i | −0.278793 | − | 0.605148i | ||||
\(472\) | −1.00000 | + | 1.73205i | −0.0460287 | + | 0.0797241i | ||||
\(473\) | −6.89898 | + | 11.9494i | −0.317215 | + | 0.549433i | ||||
\(474\) | 1.37628 | + | 2.98735i | 0.0632144 | + | 0.137213i | ||||
\(475\) | −3.69694 | − | 6.40329i | −0.169627 | − | 0.293803i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.8990 | + | 30.8270i | 0.499030 | + | 1.41147i | ||||
\(478\) | 6.79796 | 0.310931 | ||||||||
\(479\) | 4.79796 | + | 8.31031i | 0.219224 | + | 0.379708i | 0.954571 | − | 0.297983i | \(-0.0963140\pi\) |
−0.735347 | + | 0.677691i | \(0.762981\pi\) | |||||||
\(480\) | 2.50000 | + | 0.230351i | 0.114109 | + | 0.0105140i | ||||
\(481\) | 28.8990 | − | 50.0545i | 1.31768 | − | 2.28229i | ||||
\(482\) | 0.449490 | − | 0.778539i | 0.0204737 | − | 0.0354615i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.50000 | + | 6.06218i | 0.159091 | + | 0.275554i | ||||
\(485\) | −4.20204 | −0.190805 | ||||||||
\(486\) | −12.9722 | + | 8.64420i | −0.588431 | + | 0.392109i | ||||
\(487\) | −36.3939 | −1.64916 | −0.824582 | − | 0.565742i | \(-0.808590\pi\) | ||||
−0.824582 | + | 0.565742i | \(0.808590\pi\) | |||||||
\(488\) | 3.27526 | + | 5.67291i | 0.148264 | + | 0.256800i | ||||
\(489\) | 19.7980 | − | 27.9985i | 0.895295 | − | 1.26614i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −7.89898 | + | 13.6814i | −0.356476 | + | 0.617434i | −0.987369 | − | 0.158435i | \(-0.949355\pi\) |
0.630893 | + | 0.775869i | \(0.282688\pi\) | |||||||
\(492\) | −16.8990 | − | 1.55708i | −0.761865 | − | 0.0701985i | ||||
\(493\) | −6.89898 | − | 11.9494i | −0.310714 | − | 0.538173i | ||||
\(494\) | 12.4949 | 0.562172 | ||||||||
\(495\) | −2.89898 | − | 8.19955i | −0.130299 | − | 0.368542i | ||||
\(496\) | −6.00000 | −0.269408 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 1.44949 | + | 3.14626i | 0.0649532 | + | 0.140987i | ||||
\(499\) | 12.6969 | − | 21.9917i | 0.568393 | − | 0.984486i | −0.428332 | − | 0.903621i | \(-0.640899\pi\) |
0.996725 | − | 0.0808642i | \(-0.0257680\pi\) | |||||||
\(500\) | 5.72474 | − | 9.91555i | 0.256018 | − | 0.443437i | ||||
\(501\) | −7.75255 | − | 16.8277i | −0.346358 | − | 0.751806i | ||||
\(502\) | 8.72474 | + | 15.1117i | 0.389404 | + | 0.674468i | ||||
\(503\) | 24.4949 | 1.09217 | 0.546087 | − | 0.837729i | \(-0.316117\pi\) | ||||
0.546087 | + | 0.837729i | \(0.316117\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.0000 | 1.11249 | ||||||||
\(506\) | 1.00000 | + | 1.73205i | 0.0444554 | + | 0.0769991i | ||||
\(507\) | 18.9722 | + | 1.74810i | 0.842585 | + | 0.0776361i | ||||
\(508\) | 1.50000 | − | 2.59808i | 0.0665517 | − | 0.115271i | ||||
\(509\) | −3.55051 | + | 6.14966i | −0.157374 | + | 0.272579i | −0.933921 | − | 0.357480i | \(-0.883636\pi\) |
0.776547 | + | 0.630059i | \(0.216969\pi\) | |||||||
\(510\) | 2.89898 | − | 4.09978i | 0.128369 | − | 0.181541i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −12.7526 | − | 3.60697i | −0.563039 | − | 0.159251i | ||||
\(514\) | −8.20204 | −0.361777 | ||||||||
\(515\) | 10.1464 | + | 17.5741i | 0.447105 | + | 0.774409i | ||||
\(516\) | −6.89898 | + | 9.75663i | −0.303711 | + | 0.429512i | ||||
\(517\) | 9.79796 | − | 16.9706i | 0.430914 | − | 0.746364i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.34847 | + | 0.492810i | 0.234772 | + | 0.0216320i | ||||
\(520\) | 3.55051 | + | 6.14966i | 0.155700 | + | 0.269681i | ||||
\(521\) | 9.30306 | 0.407575 | 0.203787 | − | 0.979015i | \(-0.434675\pi\) | ||||
0.203787 | + | 0.979015i | \(0.434675\pi\) | |||||||
\(522\) | −20.3485 | − | 3.78194i | −0.890628 | − | 0.165531i | ||||
\(523\) | 14.3485 | 0.627415 | 0.313707 | − | 0.949520i | \(-0.398429\pi\) | ||||
0.313707 | + | 0.949520i | \(0.398429\pi\) | |||||||
\(524\) | −4.27526 | − | 7.40496i | −0.186765 | − | 0.323487i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.9495 | + | 22.4292i | −0.564625 | + | 0.977958i | ||||
\(527\) | −6.00000 | + | 10.3923i | −0.261364 | + | 0.452696i | ||||
\(528\) | −1.44949 | − | 3.14626i | −0.0630809 | − | 0.136924i | ||||
\(529\) | 11.0000 | + | 19.0526i | 0.478261 | + | 0.828372i | ||||
\(530\) | −15.7980 | −0.686219 | ||||||||
\(531\) | 5.89898 | + | 1.09638i | 0.255994 | + | 0.0475787i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −24.0000 | − | 41.5692i | −1.03956 | − | 1.80056i | ||||
\(534\) | 29.1464 | + | 2.68556i | 1.26129 | + | 0.116216i | ||||
\(535\) | 8.69694 | − | 15.0635i | 0.376001 | − | 0.651254i | ||||
\(536\) | 6.44949 | − | 11.1708i | 0.278576 | − | 0.482507i | ||||
\(537\) | −20.6969 | + | 29.2699i | −0.893139 | + | 1.26309i | ||||
\(538\) | −9.17423 | − | 15.8902i | −0.395529 | − | 0.685077i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.84847 | − | 7.30142i | −0.0795455 | − | 0.314203i | ||||
\(541\) | −18.4949 | −0.795158 | −0.397579 | − | 0.917568i | \(-0.630149\pi\) | ||||
−0.397579 | + | 0.917568i | \(0.630149\pi\) | |||||||
\(542\) | 3.55051 | + | 6.14966i | 0.152507 | + | 0.264151i | ||||
\(543\) | −10.3485 | + | 14.6349i | −0.444095 | + | 0.628046i | ||||
\(544\) | 1.00000 | − | 1.73205i | 0.0428746 | − | 0.0742611i | ||||
\(545\) | −9.20204 | + | 15.9384i | −0.394172 | + | 0.682726i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.79796 | + | 6.57826i | 0.162389 | + | 0.281266i | 0.935725 | − | 0.352730i | \(-0.114747\pi\) |
−0.773336 | + | 0.633996i | \(0.781413\pi\) | |||||||
\(548\) | 7.79796 | 0.333112 | ||||||||
\(549\) | 12.7702 | − | 14.9367i | 0.545017 | − | 0.637484i | ||||
\(550\) | −5.79796 | −0.247226 | ||||||||
\(551\) | −8.79796 | − | 15.2385i | −0.374806 | − | 0.649182i | ||||
\(552\) | 0.724745 | + | 1.57313i | 0.0308472 | + | 0.0669570i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 9.34847 | − | 16.1920i | 0.397178 | − | 0.687933i | ||||
\(555\) | −12.3939 | − | 26.9022i | −0.526091 | − | 1.14193i | ||||
\(556\) | 2.27526 | + | 3.94086i | 0.0964923 | + | 0.167130i | ||||
\(557\) | −12.8990 | −0.546547 | −0.273274 | − | 0.961936i | \(-0.588106\pi\) | ||||
−0.273274 | + | 0.961936i | \(0.588106\pi\) | |||||||
\(558\) | 6.00000 | + | 16.9706i | 0.254000 | + | 0.718421i | ||||
\(559\) | −33.7980 | −1.42950 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.89898 | − | 0.635674i | −0.291275 | − | 0.0268382i | ||||
\(562\) | 9.50000 | − | 16.4545i | 0.400733 | − | 0.694090i | ||||
\(563\) | −19.9722 | + | 34.5929i | −0.841728 | + | 1.45791i | 0.0467054 | + | 0.998909i | \(0.485128\pi\) |
−0.888433 | + | 0.459006i | \(0.848206\pi\) | |||||||
\(564\) | 9.79796 | − | 13.8564i | 0.412568 | − | 0.583460i | ||||
\(565\) | 4.42168 | + | 7.65858i | 0.186022 | + | 0.322199i | ||||
\(566\) | 25.4495 | 1.06972 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.101021 | 0.00423873 | ||||||||
\(569\) | 15.0000 | + | 25.9808i | 0.628833 | + | 1.08917i | 0.987786 | + | 0.155815i | \(0.0498003\pi\) |
−0.358954 | + | 0.933355i | \(0.616866\pi\) | |||||||
\(570\) | 3.69694 | − | 5.22826i | 0.154848 | − | 0.218988i | ||||
\(571\) | −16.8990 | + | 29.2699i | −0.707200 | + | 1.22491i | 0.258691 | + | 0.965960i | \(0.416709\pi\) |
−0.965892 | + | 0.258947i | \(0.916625\pi\) | |||||||
\(572\) | 4.89898 | − | 8.48528i | 0.204837 | − | 0.354787i | ||||
\(573\) | 7.07321 | + | 0.651729i | 0.295488 | + | 0.0272263i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.89898 | 0.120896 | ||||||||
\(576\) | −1.00000 | − | 2.82843i | −0.0416667 | − | 0.117851i | ||||
\(577\) | 15.5959 | 0.649267 | 0.324633 | − | 0.945840i | \(-0.394759\pi\) | ||||
0.324633 | + | 0.945840i | \(0.394759\pi\) | |||||||
\(578\) | 6.50000 | + | 11.2583i | 0.270364 | + | 0.468285i | ||||
\(579\) | 12.9722 | + | 28.1575i | 0.539106 | + | 1.17018i | ||||
\(580\) | 5.00000 | − | 8.66025i | 0.207614 | − | 0.359597i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 2.10102 | + | 4.56048i | 0.0870901 | + | 0.189038i | ||||
\(583\) | 10.8990 | + | 18.8776i | 0.451390 | + | 0.781830i | ||||
\(584\) | 6.89898 | 0.285482 | ||||||||
\(585\) | 13.8434 | − | 16.1920i | 0.572353 | − | 0.669458i | ||||
\(586\) | −2.75255 | −0.113707 | ||||||||
\(587\) | 8.07321 | + | 13.9832i | 0.333217 | + | 0.577149i | 0.983141 | − | 0.182850i | \(-0.0585324\pi\) |
−0.649924 | + | 0.760000i | \(0.725199\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.65153 | + | 13.2528i | −0.315276 | + | 0.546074i | ||||
\(590\) | −1.44949 | + | 2.51059i | −0.0596745 | + | 0.103359i | ||||
\(591\) | −16.6969 | + | 23.6130i | −0.686820 | + | 0.971311i | ||||
\(592\) | −5.89898 | − | 10.2173i | −0.242447 | − | 0.419930i | ||||
\(593\) | −14.6969 | −0.603531 | −0.301765 | − | 0.953382i | \(-0.597576\pi\) | ||||
−0.301765 | + | 0.953382i | \(0.597576\pi\) | |||||||
\(594\) | −7.44949 | + | 7.24604i | −0.305656 | + | 0.297309i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.00000 | + | 5.19615i | 0.122885 | + | 0.212843i | ||||
\(597\) | −2.89898 | + | 4.09978i | −0.118647 | + | 0.167793i | ||||
\(598\) | −2.44949 | + | 4.24264i | −0.100167 | + | 0.173494i | ||||
\(599\) | 16.8990 | − | 29.2699i | 0.690474 | − | 1.19594i | −0.281209 | − | 0.959646i | \(-0.590736\pi\) |
0.971683 | − | 0.236289i | \(-0.0759312\pi\) | |||||||
\(600\) | −5.00000 | − | 0.460702i | −0.204124 | − | 0.0188081i | ||||
\(601\) | 8.34847 | + | 14.4600i | 0.340541 | + | 0.589835i | 0.984533 | − | 0.175198i | \(-0.0560564\pi\) |
−0.643992 | + | 0.765032i | \(0.722723\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −38.0454 | − | 7.07107i | −1.54933 | − | 0.287956i | ||||
\(604\) | −5.00000 | −0.203447 | ||||||||
\(605\) | 5.07321 | + | 8.78706i | 0.206255 | + | 0.357245i | ||||
\(606\) | −12.5000 | − | 27.1325i | −0.507778 | − | 1.10218i | ||||
\(607\) | 10.3485 | − | 17.9241i | 0.420031 | − | 0.727516i | −0.575911 | − | 0.817513i | \(-0.695352\pi\) |
0.995942 | + | 0.0899969i | \(0.0286857\pi\) | |||||||
\(608\) | 1.27526 | − | 2.20881i | 0.0517184 | − | 0.0895789i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.74745 | + | 8.22282i | 0.192219 | + | 0.332932i | ||||
\(611\) | 48.0000 | 1.94187 | ||||||||
\(612\) | −5.89898 | − | 1.09638i | −0.238452 | − | 0.0443184i | ||||
\(613\) | −14.6969 | −0.593604 | −0.296802 | − | 0.954939i | \(-0.595920\pi\) | ||||
−0.296802 | + | 0.954939i | \(0.595920\pi\) | |||||||
\(614\) | 12.6237 | + | 21.8649i | 0.509452 | + | 0.882397i | ||||
\(615\) | −24.4949 | − | 2.25697i | −0.987730 | − | 0.0910098i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 7.69694 | − | 13.3315i | 0.309867 | − | 0.536706i | −0.668466 | − | 0.743743i | \(-0.733049\pi\) |
0.978333 | + | 0.207037i | \(0.0663821\pi\) | |||||||
\(618\) | 14.0000 | − | 19.7990i | 0.563163 | − | 0.796432i | ||||
\(619\) | 15.0732 | + | 26.1076i | 0.605844 | + | 1.04935i | 0.991918 | + | 0.126884i | \(0.0404976\pi\) |
−0.386074 | + | 0.922468i | \(0.626169\pi\) | |||||||
\(620\) | −8.69694 | −0.349277 | ||||||||
\(621\) | 3.72474 | − | 3.62302i | 0.149469 | − | 0.145387i | ||||
\(622\) | −30.6969 | −1.23084 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.89898 | − | 6.92820i | 0.196116 | − | 0.277350i | ||||
\(625\) | 1.05051 | − | 1.81954i | 0.0420204 | − | 0.0727815i | ||||
\(626\) | −2.34847 | + | 4.06767i | −0.0938637 | + | 0.162577i | ||||
\(627\) | −8.79796 | − | 0.810647i | −0.351357 | − | 0.0323741i | ||||
\(628\) | −4.17423 | − | 7.22999i | −0.166570 | − | 0.288508i | ||||
\(629\) | −23.5959 | −0.940831 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.8990 | 1.11064 | 0.555320 | − | 0.831636i | \(-0.312596\pi\) | ||||
0.555320 | + | 0.831636i | \(0.312596\pi\) | |||||||
\(632\) | 0.949490 | + | 1.64456i | 0.0377687 | + | 0.0654173i | ||||
\(633\) | −9.34847 | − | 20.2918i | −0.371568 | − | 0.806527i | ||||
\(634\) | −10.3485 | + | 17.9241i | −0.410990 | + | 0.711856i | ||||
\(635\) | 2.17423 | − | 3.76588i | 0.0862819 | − | 0.149445i | ||||
\(636\) | 7.89898 | + | 17.1455i | 0.313215 | + | 0.679865i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −13.7980 | −0.546266 | ||||||||
\(639\) | −0.101021 | − | 0.285729i | −0.00399631 | − | 0.0113033i | ||||
\(640\) | 1.44949 | 0.0572961 | ||||||||
\(641\) | 3.74745 | + | 6.49077i | 0.148015 | + | 0.256370i | 0.930494 | − | 0.366308i | \(-0.119378\pi\) |
−0.782479 | + | 0.622678i | \(0.786045\pi\) | |||||||
\(642\) | −20.6969 | − | 1.90702i | −0.816843 | − | 0.0752642i | ||||
\(643\) | −19.6969 | + | 34.1161i | −0.776771 | + | 1.34541i | 0.157022 | + | 0.987595i | \(0.449811\pi\) |
−0.933793 | + | 0.357812i | \(0.883523\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −10.0000 | + | 14.1421i | −0.393750 | + | 0.556846i | ||||
\(646\) | −2.55051 | − | 4.41761i | −0.100348 | − | 0.173809i | ||||
\(647\) | 50.6969 | 1.99310 | 0.996551 | − | 0.0829807i | \(-0.0264440\pi\) | ||||
0.996551 | + | 0.0829807i | \(0.0264440\pi\) | |||||||
\(648\) | −7.00000 | + | 5.65685i | −0.274986 | + | 0.222222i | ||||
\(649\) | 4.00000 | 0.157014 | ||||||||
\(650\) | −7.10102 | − | 12.2993i | −0.278525 | − | 0.482419i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.89898 | − | 17.1455i | 0.387674 | − | 0.671471i | ||||
\(653\) | −4.89898 | + | 8.48528i | −0.191712 | + | 0.332055i | −0.945818 | − | 0.324698i | \(-0.894737\pi\) |
0.754106 | + | 0.656753i | \(0.228071\pi\) | |||||||
\(654\) | 21.8990 | + | 2.01778i | 0.856318 | + | 0.0789014i | ||||
\(655\) | −6.19694 | − | 10.7334i | −0.242134 | − | 0.419389i | ||||
\(656\) | −9.79796 | −0.382546 | ||||||||
\(657\) | −6.89898 | − | 19.5133i | −0.269155 | − | 0.761285i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.3485 | + | 21.3882i | 0.481028 | + | 0.833165i | 0.999763 | − | 0.0217701i | \(-0.00693018\pi\) |
−0.518735 | + | 0.854935i | \(0.673597\pi\) | |||||||
\(660\) | −2.10102 | − | 4.56048i | −0.0817821 | − | 0.177516i | ||||
\(661\) | 2.27526 | − | 3.94086i | 0.0884972 | − | 0.153282i | −0.818379 | − | 0.574679i | \(-0.805127\pi\) |
0.906876 | + | 0.421397i | \(0.138460\pi\) | |||||||
\(662\) | −2.34847 | + | 4.06767i | −0.0912758 | + | 0.158094i | ||||
\(663\) | −7.10102 | − | 15.4135i | −0.275781 | − | 0.598610i | ||||
\(664\) | 1.00000 | + | 1.73205i | 0.0388075 | + | 0.0672166i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −23.0000 | + | 26.9022i | −0.891232 | + | 1.04244i | ||||
\(667\) | 6.89898 | 0.267130 | ||||||||
\(668\) | −5.34847 | − | 9.26382i | −0.206938 | − | 0.358428i | ||||
\(669\) | 19.1464 | + | 1.76416i | 0.740244 | + | 0.0682063i | ||||
\(670\) | 9.34847 | − | 16.1920i | 0.361163 | − | 0.625552i | ||||
\(671\) | 6.55051 | − | 11.3458i | 0.252880 | − | 0.438000i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.29796 | + | 7.44428i | 0.165674 | + | 0.286956i | 0.936894 | − | 0.349612i | \(-0.113687\pi\) |
−0.771220 | + | 0.636568i | \(0.780353\pi\) | |||||||
\(674\) | −23.3939 | −0.901098 | ||||||||
\(675\) | 3.69694 | + | 14.6028i | 0.142295 | + | 0.562063i | ||||
\(676\) | 11.0000 | 0.423077 | ||||||||
\(677\) | 7.34847 | + | 12.7279i | 0.282425 | + | 0.489174i | 0.971981 | − | 0.235058i | \(-0.0755280\pi\) |
−0.689557 | + | 0.724232i | \(0.742195\pi\) | |||||||
\(678\) | 6.10102 | − | 8.62815i | 0.234308 | − | 0.331362i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 1.44949 | − | 2.51059i | 0.0555854 | − | 0.0962767i | ||||
\(681\) | 9.39898 | + | 0.866025i | 0.360170 | + | 0.0331862i | ||||
\(682\) | 6.00000 | + | 10.3923i | 0.229752 | + | 0.397942i | ||||
\(683\) | 51.7980 | 1.98199 | 0.990997 | − | 0.133885i | \(-0.0427452\pi\) | ||||
0.990997 | + | 0.133885i | \(0.0427452\pi\) | |||||||
\(684\) | −7.52270 | − | 1.39816i | −0.287638 | − | 0.0534600i | ||||
\(685\) | 11.3031 | 0.431868 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.904082 | + | 1.96240i | 0.0344929 | + | 0.0748703i | ||||
\(688\) | −3.44949 | + | 5.97469i | −0.131511 | + | 0.227783i | ||||
\(689\) | −26.6969 | + | 46.2405i | −1.01707 | + | 1.76162i | ||||
\(690\) | 1.05051 | + | 2.28024i | 0.0399922 | + | 0.0868072i | ||||
\(691\) | 25.5227 | + | 44.2066i | 0.970929 | + | 1.68170i | 0.692762 | + | 0.721167i | \(0.256394\pi\) |
0.278168 | + | 0.960533i | \(0.410273\pi\) | |||||||
\(692\) | 3.10102 | 0.117883 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.5959 | 0.743851 | ||||||||
\(695\) | 3.29796 | + | 5.71223i | 0.125099 | + | 0.216677i | ||||
\(696\) | −11.8990 | − | 1.09638i | −0.451030 | − | 0.0415580i | ||||
\(697\) | −9.79796 | + | 16.9706i | −0.371124 | + | 0.642806i | ||||
\(698\) | 5.55051 | − | 9.61377i | 0.210090 | − | 0.363886i | ||||
\(699\) | 7.00000 | − | 9.89949i | 0.264764 | − | 0.374433i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −7.39388 | −0.279263 | −0.139631 | − | 0.990204i | \(-0.544592\pi\) | ||||
−0.139631 | + | 0.990204i | \(0.544592\pi\) | |||||||
\(702\) | −24.4949 | − | 6.92820i | −0.924500 | − | 0.261488i | ||||
\(703\) | −30.0908 | −1.13490 | ||||||||
\(704\) | −1.00000 | − | 1.73205i | −0.0376889 | − | 0.0652791i | ||||
\(705\) | 14.2020 | − | 20.0847i | 0.534880 | − | 0.756434i | ||||
\(706\) | −3.00000 | + | 5.19615i | −0.112906 | + | 0.195560i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.44949 | + | 0.317837i | 0.129640 | + | 0.0119451i | ||||
\(709\) | −13.7980 | − | 23.8988i | −0.518193 | − | 0.897537i | −0.999777 | − | 0.0211367i | \(-0.993271\pi\) |
0.481583 | − | 0.876400i | \(-0.340062\pi\) | |||||||
\(710\) | 0.146428 | 0.00549535 | ||||||||
\(711\) | 3.70204 | − | 4.33013i | 0.138837 | − | 0.162392i | ||||
\(712\) | 16.8990 | 0.633316 | ||||||||
\(713\) | −3.00000 | − | 5.19615i | −0.112351 | − | 0.194597i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.10102 | − | 12.2993i | 0.265563 | − | 0.459969i | ||||
\(716\) | −10.3485 | + | 17.9241i | −0.386740 | + | 0.669854i | ||||
\(717\) | −4.92679 | − | 10.6941i | −0.183994 | − | 0.399378i | ||||
\(718\) | 4.39898 | + | 7.61926i | 0.164168 | + | 0.284348i | ||||
\(719\) | −9.79796 | −0.365402 | −0.182701 | − | 0.983169i | \(-0.558484\pi\) | ||||
−0.182701 | + | 0.983169i | \(0.558484\pi\) | |||||||
\(720\) | −1.44949 | − | 4.09978i | −0.0540193 | − | 0.152790i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 6.24745 | + | 10.8209i | 0.232506 | + | 0.402712i | ||||
\(723\) | −1.55051 | − | 0.142865i | −0.0576641 | − | 0.00531319i | ||||
\(724\) | −5.17423 | + | 8.96204i | −0.192299 | + | 0.333071i | ||||
\(725\) | −10.0000 | + | 17.3205i | −0.371391 | + | 0.643268i | ||||
\(726\) | 7.00000 | − | 9.89949i | 0.259794 | − | 0.367405i | ||||
\(727\) | −4.24745 | − | 7.35680i | −0.157529 | − | 0.272848i | 0.776448 | − | 0.630181i | \(-0.217019\pi\) |
−0.933977 | + | 0.357333i | \(0.883686\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.0000 | + | 14.1421i | 0.851852 | + | 0.523783i | ||||
\(730\) | 10.0000 | 0.370117 | ||||||||
\(731\) | 6.89898 | + | 11.9494i | 0.255168 | + | 0.441964i | ||||
\(732\) | 6.55051 | − | 9.26382i | 0.242114 | − | 0.342401i | ||||
\(733\) | −8.72474 | + | 15.1117i | −0.322256 | + | 0.558163i | −0.980953 | − | 0.194245i | \(-0.937774\pi\) |
0.658697 | + | 0.752408i | \(0.271108\pi\) | |||||||
\(734\) | −6.89898 | + | 11.9494i | −0.254646 | + | 0.441060i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.500000 | + | 0.866025i | 0.0184302 | + | 0.0319221i | ||||
\(737\) | −25.7980 | −0.950280 | ||||||||
\(738\) | 9.79796 | + | 27.7128i | 0.360668 | + | 1.02012i | ||||
\(739\) | 13.5959 | 0.500134 | 0.250067 | − | 0.968229i | \(-0.419547\pi\) | ||||
0.250067 | + | 0.968229i | \(0.419547\pi\) | |||||||
\(740\) | −8.55051 | − | 14.8099i | −0.314323 | − | 0.544423i | ||||
\(741\) | −9.05561 | − | 19.6561i | −0.332666 | − | 0.722086i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −18.0000 | + | 31.1769i | −0.660356 | + | 1.14377i | 0.320166 | + | 0.947361i | \(0.396261\pi\) |
−0.980522 | + | 0.196409i | \(0.937072\pi\) | |||||||
\(744\) | 4.34847 | + | 9.43879i | 0.159423 | + | 0.346043i | ||||
\(745\) | 4.34847 | + | 7.53177i | 0.159316 | + | 0.275943i | ||||
\(746\) | −6.89898 | −0.252590 | ||||||||
\(747\) | 3.89898 | − | 4.56048i | 0.142656 | − | 0.166859i | ||||
\(748\) | −4.00000 | −0.146254 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −19.7474 | − | 1.81954i | −0.721075 | − | 0.0664401i | ||||
\(751\) | −0.702041 | + | 1.21597i | −0.0256178 | + | 0.0443714i | −0.878550 | − | 0.477650i | \(-0.841489\pi\) |
0.852932 | + | 0.522022i | \(0.174822\pi\) | |||||||
\(752\) | 4.89898 | − | 8.48528i | 0.178647 | − | 0.309426i | ||||
\(753\) | 17.4495 | − | 24.6773i | 0.635895 | − | 0.899291i | ||||
\(754\) | −16.8990 | − | 29.2699i | −0.615425 | − | 1.06595i | ||||
\(755\) | −7.24745 | −0.263762 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −35.3939 | −1.28641 | −0.643206 | − | 0.765693i | \(-0.722396\pi\) | ||||
−0.643206 | + | 0.765693i | \(0.722396\pi\) | |||||||
\(758\) | −11.2474 | − | 19.4812i | −0.408526 | − | 0.707587i | ||||
\(759\) | 2.00000 | − | 2.82843i | 0.0725954 | − | 0.102665i | ||||
\(760\) | 1.84847 | − | 3.20164i | 0.0670510 | − | 0.116136i | ||||
\(761\) | 1.00000 | − | 1.73205i | 0.0362500 | − | 0.0627868i | −0.847331 | − | 0.531065i | \(-0.821792\pi\) |
0.883581 | + | 0.468278i | \(0.155125\pi\) | |||||||
\(762\) | −5.17423 | − | 0.476756i | −0.187443 | − | 0.0172710i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 4.10102 | 0.148370 | ||||||||
\(765\) | −8.55051 | − | 1.58919i | −0.309144 | − | 0.0574571i | ||||
\(766\) | 2.89898 | 0.104744 | ||||||||
\(767\) | 4.89898 | + | 8.48528i | 0.176892 | + | 0.306386i | ||||
\(768\) | −0.724745 | − | 1.57313i | −0.0261520 | − | 0.0567655i | ||||
\(769\) | −17.0454 | + | 29.5235i | −0.614673 | + | 1.06465i | 0.375769 | + | 0.926714i | \(0.377379\pi\) |
−0.990442 | + | 0.137932i | \(0.955955\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.94439 | + | 12.9029i | 0.214082 | + | 0.464686i | ||||
\(772\) | 8.94949 | + | 15.5010i | 0.322099 | + | 0.557892i | ||||
\(773\) | −33.9444 | −1.22089 | −0.610447 | − | 0.792057i | \(-0.709010\pi\) | ||||
−0.610447 | + | 0.792057i | \(0.709010\pi\) | |||||||
\(774\) | 20.3485 | + | 3.78194i | 0.731411 | + | 0.135939i | ||||
\(775\) | 17.3939 | 0.624807 | ||||||||
\(776\) | 1.44949 | + | 2.51059i | 0.0520336 | + | 0.0901249i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 12.4495 | − | 21.5631i | 0.446336 | − | 0.773076i | ||||
\(779\) | −12.4949 | + | 21.6418i | −0.447676 | + | 0.775398i | ||||
\(780\) | 7.10102 | − | 10.0424i | 0.254257 | − | 0.359574i | ||||
\(781\) | −0.101021 | − | 0.174973i | −0.00361480 | − | 0.00626101i | ||||
\(782\) | 2.00000 | 0.0715199 | ||||||||
\(783\) | 8.79796 | + | 34.7518i | 0.314413 | + | 1.24193i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.05051 | − | 10.4798i | −0.215952 | − | 0.374040i | ||||
\(786\) | −8.55051 | + | 12.0922i | −0.304987 | + | 0.431316i | ||||
\(787\) | −5.69694 | + | 9.86739i | −0.203074 | + | 0.351734i | −0.949517 | − | 0.313715i | \(-0.898427\pi\) |
0.746443 | + | 0.665449i | \(0.231760\pi\) | |||||||
\(788\) | −8.34847 | + | 14.4600i | −0.297402 | + | 0.515115i | ||||
\(789\) | 44.6691 | + | 4.11583i | 1.59026 | + | 0.146527i | ||||
\(790\) | 1.37628 | + | 2.38378i | 0.0489657 | + | 0.0848111i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −3.89898 | + | 4.56048i | −0.138544 | + | 0.162050i | ||||
\(793\) | 32.0908 | 1.13958 | ||||||||
\(794\) | 19.3485 | + | 33.5125i | 0.686651 | + | 1.18932i | ||||
\(795\) | 11.4495 | + | 24.8523i | 0.406072 | + | 0.881419i | ||||
\(796\) | −1.44949 | + | 2.51059i | −0.0513758 | + | 0.0889855i | ||||
\(797\) | −8.97219 | + | 15.5403i | −0.317811 | + | 0.550465i | −0.980031 | − | 0.198844i | \(-0.936281\pi\) |
0.662220 | + | 0.749310i | \(0.269615\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.79796 | − | 16.9706i | −0.346627 | − | 0.600375i | ||||
\(800\) | −2.89898 | −0.102494 | ||||||||
\(801\) | −16.8990 | − | 47.7975i | −0.597096 | − | 1.68884i | ||||
\(802\) | −19.8990 | −0.702657 | ||||||||
\(803\) | −6.89898 | − | 11.9494i | −0.243460 | − | 0.421685i | ||||
\(804\) | −22.2474 | − | 2.04989i | −0.784607 | − | 0.0722940i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −14.6969 | + | 25.4558i | −0.517678 | + | 0.896644i | ||||
\(807\) | −18.3485 | + | 25.9487i | −0.645897 | + | 0.913436i | ||||
\(808\) | −8.62372 | − | 14.9367i | −0.303382 | − | 0.525472i | ||||
\(809\) | −16.2020 | −0.569633 | −0.284817 | − | 0.958582i | \(-0.591933\pi\) | ||||
−0.284817 | + | 0.958582i | \(0.591933\pi\) | |||||||
\(810\) | −10.1464 | + | 8.19955i | −0.356509 | + | 0.288103i | ||||
\(811\) | 2.00000 | 0.0702295 | 0.0351147 | − | 0.999383i | \(-0.488820\pi\) | ||||
0.0351147 | + | 0.999383i | \(0.488820\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 7.10102 | − | 10.0424i | 0.249044 | − | 0.352201i | ||||
\(814\) | −11.7980 | + | 20.4347i | −0.413518 | + | 0.716235i | ||||
\(815\) | 14.3485 | − | 24.8523i | 0.502605 | − | 0.870537i | ||||
\(816\) | −3.44949 | − | 0.317837i | −0.120756 | − | 0.0111265i | ||||
\(817\) | 8.79796 | + | 15.2385i | 0.307802 | + | 0.533128i | ||||
\(818\) | 13.7980 | 0.482434 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −14.2020 | −0.495957 | ||||||||
\(821\) | −0.202041 | − | 0.349945i | −0.00705128 | − | 0.0122132i | 0.862478 | − | 0.506094i | \(-0.168911\pi\) |
−0.869530 | + | 0.493881i | \(0.835578\pi\) | |||||||
\(822\) | −5.65153 | − | 12.2672i | −0.197120 | − | 0.427868i | ||||
\(823\) | 6.69694 | − | 11.5994i | 0.233441 | − | 0.404331i | −0.725378 | − | 0.688351i | \(-0.758335\pi\) |
0.958818 | + | 0.284020i | \(0.0916682\pi\) | |||||||
\(824\) | 7.00000 | − | 12.1244i | 0.243857 | − | 0.422372i | ||||
\(825\) | 4.20204 | + | 9.12096i | 0.146296 | + | 0.317551i | ||||
\(826\) | 0 | 0 | ||||||||
\(827\) | −36.4949 | −1.26905 | −0.634526 | − | 0.772902i | \(-0.718805\pi\) | ||||
−0.634526 | + | 0.772902i | \(0.718805\pi\) | |||||||
\(828\) | 1.94949 | − | 2.28024i | 0.0677495 | − | 0.0792438i | ||||
\(829\) | −1.30306 | −0.0452572 | −0.0226286 | − | 0.999744i | \(-0.507204\pi\) | ||||
−0.0226286 | + | 0.999744i | \(0.507204\pi\) | |||||||
\(830\) | 1.44949 | + | 2.51059i | 0.0503125 | + | 0.0871438i | ||||
\(831\) | −32.2474 | − | 2.97129i | −1.11865 | − | 0.103073i | ||||
\(832\) | 2.44949 | − | 4.24264i | 0.0849208 | − | 0.147087i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 4.55051 | − | 6.43539i | 0.157571 | − | 0.222839i | ||||
\(835\) | −7.75255 | − | 13.4278i | −0.268288 | − | 0.464689i | ||||
\(836\) | −5.10102 | −0.176422 | ||||||||
\(837\) | 22.3485 | − | 21.7381i | 0.772476 | − | 0.751379i | ||||
\(838\) | −29.4495 | −1.01732 | ||||||||
\(839\) | −17.5505 | − | 30.3984i | −0.605911 | − | 1.04947i | −0.991907 | − | 0.126968i | \(-0.959475\pi\) |
0.385996 | − | 0.922500i | \(-0.373858\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.29796 | + | 16.1045i | −0.320619 | + | 0.555329i | ||||
\(842\) | −11.4495 | + | 19.8311i | −0.394575 | + | 0.683425i | ||||
\(843\) | −32.7702 | − | 3.01945i | −1.12866 | − | 0.103996i | ||||
\(844\) | −6.44949 | − | 11.1708i | −0.222001 | − | 0.384516i | ||||
\(845\) | 15.9444 | 0.548504 | ||||||||
\(846\) | −28.8990 | − | 5.37113i | −0.993567 | − | 0.184663i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 5.44949 | + | 9.43879i | 0.187136 | + | 0.324129i | ||||
\(849\) | −18.4444 | − | 40.0354i | −0.633010 | − | 1.37401i | ||||
\(850\) | −2.89898 | + | 5.02118i | −0.0994342 | + | 0.172225i | ||||
\(851\) | 5.89898 | − | 10.2173i | 0.202214 | − | 0.350246i | ||||
\(852\) | −0.0732141 | − | 0.158919i | −0.00250827 | − | 0.00544446i | ||||
\(853\) | 12.4217 | + | 21.5150i | 0.425310 | + | 0.736659i | 0.996449 | − | 0.0841942i | \(-0.0268316\pi\) |
−0.571139 | + | 0.820853i | \(0.693498\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −10.9041 | − | 2.02662i | −0.372912 | − | 0.0693089i | ||||
\(856\) | −12.0000 | −0.410152 | ||||||||
\(857\) | −17.4495 | − | 30.2234i | −0.596063 | − | 1.03241i | −0.993396 | − | 0.114737i | \(-0.963397\pi\) |
0.397333 | − | 0.917675i | \(-0.369936\pi\) | |||||||
\(858\) | −16.8990 | − | 1.55708i | −0.576922 | − | 0.0531578i | ||||
\(859\) | −5.00000 | + | 8.66025i | −0.170598 | + | 0.295484i | −0.938629 | − | 0.344928i | \(-0.887903\pi\) |
0.768031 | + | 0.640412i | \(0.221237\pi\) | |||||||
\(860\) | −5.00000 | + | 8.66025i | −0.170499 | + | 0.295312i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −15.7980 | − | 27.3629i | −0.538081 | − | 0.931983i | ||||
\(863\) | 11.8990 | 0.405046 | 0.202523 | − | 0.979278i | \(-0.435086\pi\) | ||||
0.202523 | + | 0.979278i | \(0.435086\pi\) | |||||||
\(864\) | −3.72474 | + | 3.62302i | −0.126718 | + | 0.123258i | ||||
\(865\) | 4.49490 | 0.152831 | ||||||||
\(866\) | −3.89898 | − | 6.75323i | −0.132493 | − | 0.229484i | ||||
\(867\) | 13.0000 | − | 18.3848i | 0.441503 | − | 0.624380i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.89898 | − | 3.28913i | 0.0644185 | − | 0.111576i | ||||
\(870\) | −17.2474 | − | 1.58919i | −0.584743 | − | 0.0538785i | ||||
\(871\) | −31.5959 | − | 54.7257i | −1.07059 | − | 1.85431i | ||||
\(872\) | 12.6969 | 0.429973 | ||||||||
\(873\) | 5.65153 | − | 6.61037i | 0.191275 | − | 0.223727i | ||||
\(874\) | 2.55051 | 0.0862723 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.00000 | − | 10.8530i | −0.168934 | − | 0.366689i | ||||
\(877\) | −11.2474 | + | 19.4812i | −0.379799 | + | 0.657832i | −0.991033 | − | 0.133619i | \(-0.957340\pi\) |
0.611233 | + | 0.791450i | \(0.290674\pi\) | |||||||
\(878\) | 1.10102 | − | 1.90702i | 0.0371576 | − | 0.0643589i | ||||
\(879\) | 1.99490 | + | 4.33013i | 0.0672862 | + | 0.146052i | ||||
\(880\) | −1.44949 | − | 2.51059i | −0.0488623 | − | 0.0846320i | ||||
\(881\) | −19.5959 | −0.660203 | −0.330102 | − | 0.943945i | \(-0.607083\pi\) | ||||
−0.330102 | + | 0.943945i | \(0.607083\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −19.7980 | −0.666254 | −0.333127 | − | 0.942882i | \(-0.608104\pi\) | ||||
−0.333127 | + | 0.942882i | \(0.608104\pi\) | |||||||
\(884\) | −4.89898 | − | 8.48528i | −0.164771 | − | 0.285391i | ||||
\(885\) | 5.00000 | + | 0.460702i | 0.168073 | + | 0.0154863i | ||||
\(886\) | 7.44949 | − | 12.9029i | 0.250271 | − | 0.433481i | ||||
\(887\) | −7.10102 | + | 12.2993i | −0.238429 | + | 0.412971i | −0.960264 | − | 0.279094i | \(-0.909966\pi\) |
0.721835 | + | 0.692065i | \(0.243299\pi\) | |||||||
\(888\) | −11.7980 | + | 16.6848i | −0.395914 | + | 0.559906i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 24.4949 | 0.821071 | ||||||||
\(891\) | 16.7980 | + | 6.46750i | 0.562753 | + | 0.216669i | ||||
\(892\) | 11.1010 | 0.371690 | ||||||||
\(893\) | −12.4949 | − | 21.6418i | −0.418126 | − | 0.724215i | ||||
\(894\) | 6.00000 | − | 8.48528i | 0.200670 | − | 0.283790i | ||||
\(895\) | −15.0000 | + | 25.9808i | −0.501395 | + | 0.868441i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.44949 | + | 0.778539i | 0.282120 | + | 0.0259947i | ||||
\(898\) | −10.2980 | − | 17.8366i | −0.343647 | − | 0.595215i | ||||
\(899\) | 41.3939 | 1.38056 | ||||||||
\(900\) | 2.89898 | + | 8.19955i | 0.0966326 | + | 0.273318i | ||||
\(901\) | 21.7980 | 0.726195 | ||||||||
\(902\) | 9.79796 | + | 16.9706i | 0.326236 | + | 0.565058i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.05051 | − | 5.28364i | 0.101458 | − | 0.175731i | ||||
\(905\) | −7.50000 | + | 12.9904i | −0.249308 | + | 0.431815i | ||||
\(906\) | 3.62372 | + | 7.86566i | 0.120390 | + | 0.261319i | ||||
\(907\) | −1.34847 | − | 2.33562i | −0.0447752 | − | 0.0775529i | 0.842769 | − | 0.538275i | \(-0.180924\pi\) |
−0.887544 | + | 0.460722i | \(0.847590\pi\) | |||||||
\(908\) | 5.44949 | 0.180848 | ||||||||
\(909\) | −33.6237 | + | 39.3283i | −1.11523 | + | 1.30444i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −25.9949 | − | 45.0245i | −0.861249 | − | 1.49173i | −0.870724 | − | 0.491773i | \(-0.836349\pi\) |
0.00947432 | − | 0.999955i | \(-0.496984\pi\) | |||||||
\(912\) | −4.39898 | − | 0.405324i | −0.145665 | − | 0.0134216i | ||||
\(913\) | 2.00000 | − | 3.46410i | 0.0661903 | − | 0.114645i | ||||
\(914\) | 8.74745 | − | 15.1510i | 0.289340 | − | 0.501151i | ||||
\(915\) | 9.49490 | − | 13.4278i | 0.313892 | − | 0.443910i | ||||
\(916\) | 0.623724 | + | 1.08032i | 0.0206084 | + | 0.0356949i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 2.55051 | + | 10.0745i | 0.0841794 | + | 0.332507i | ||||
\(919\) | −25.6969 | −0.847664 | −0.423832 | − | 0.905741i | \(-0.639315\pi\) | ||||
−0.423832 | + | 0.905741i | \(0.639315\pi\) | |||||||
\(920\) | 0.724745 | + | 1.25529i | 0.0238941 | + | 0.0413858i | ||||
\(921\) | 25.2474 | − | 35.7053i | 0.831932 | − | 1.17653i | ||||
\(922\) | 2.82577 | − | 4.89437i | 0.0930616 | − | 0.161187i | ||||
\(923\) | 0.247449 | − | 0.428594i | 0.00814487 | − | 0.0141073i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 17.1010 | + | 29.6198i | 0.562278 | + | 0.973894i | ||||
\(926\) | 3.69694 | 0.121489 | ||||||||
\(927\) | −41.2929 | − | 7.67463i | −1.35624 | − | 0.252068i | ||||
\(928\) | −6.89898 | −0.226470 | ||||||||
\(929\) | 17.1464 | + | 29.6985i | 0.562556 | + | 0.974376i | 0.997272 | + | 0.0738083i | \(0.0235153\pi\) |
−0.434716 | + | 0.900567i | \(0.643151\pi\) | |||||||
\(930\) | 6.30306 | + | 13.6814i | 0.206686 | + | 0.448632i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.50000 | − | 6.06218i | 0.114646 | − | 0.198573i | ||||
\(933\) | 22.2474 | + | 48.2903i | 0.728349 | + | 1.58095i | ||||
\(934\) | 5.00000 | + | 8.66025i | 0.163605 | + | 0.283372i | ||||
\(935\) | −5.79796 | −0.189614 | ||||||||
\(936\) | −14.4495 | − | 2.68556i | −0.472296 | − | 0.0877804i | ||||
\(937\) | −45.5959 | −1.48955 | −0.744777 | − | 0.667314i | \(-0.767444\pi\) | ||||
−0.744777 | + | 0.667314i | \(0.767444\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.10102 | + | 0.746431i | 0.264367 | + | 0.0243589i | ||||
\(940\) | 7.10102 | − | 12.2993i | 0.231610 | − | 0.401160i | ||||
\(941\) | −0.724745 | + | 1.25529i | −0.0236260 | + | 0.0409214i | −0.877597 | − | 0.479400i | \(-0.840854\pi\) |
0.853971 | + | 0.520321i | \(0.174188\pi\) | |||||||
\(942\) | −8.34847 | + | 11.8065i | −0.272008 | + | 0.384677i | ||||
\(943\) | −4.89898 | − | 8.48528i | −0.159533 | − | 0.276319i | ||||
\(944\) | 2.00000 | 0.0650945 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.7980 | 0.448610 | ||||||||
\(947\) | −26.2474 | − | 45.4619i | −0.852927 | − | 1.47731i | −0.878554 | − | 0.477642i | \(-0.841492\pi\) |
0.0256270 | − | 0.999672i | \(-0.491842\pi\) | |||||||
\(948\) | 1.89898 | − | 2.68556i | 0.0616760 | − | 0.0872230i | ||||
\(949\) | 16.8990 | − | 29.2699i | 0.548564 | − | 0.950141i | ||||
\(950\) | −3.69694 | + | 6.40329i | −0.119945 | + | 0.207750i | ||||
\(951\) | 35.6969 | + | 3.28913i | 1.15755 | + | 0.106657i | ||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −3.39388 | −0.109938 | −0.0549692 | − | 0.998488i | \(-0.517506\pi\) | ||||
−0.0549692 | + | 0.998488i | \(0.517506\pi\) | |||||||
\(954\) | 21.2474 | − | 24.8523i | 0.687912 | − | 0.804622i | ||||
\(955\) | 5.94439 | 0.192356 | ||||||||
\(956\) | −3.39898 | − | 5.88721i | −0.109931 | − | 0.190406i | ||||
\(957\) | 10.0000 | + | 21.7060i | 0.323254 | + | 0.701656i | ||||
\(958\) | 4.79796 | − | 8.31031i | 0.155015 | − | 0.268494i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.05051 | − | 2.28024i | −0.0339051 | − | 0.0735944i | ||||
\(961\) | −2.50000 | − | 4.33013i | −0.0806452 | − | 0.139682i | ||||
\(962\) | −57.7980 | −1.86348 | ||||||||
\(963\) | 12.0000 | + | 33.9411i | 0.386695 | + | 1.09374i | ||||
\(964\) | −0.898979 | −0.0289542 | ||||||||
\(965\) | 12.9722 | + | 22.4685i | 0.417590 | + | 0.723287i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.2980 | + | 21.3007i | −0.395476 | + | 0.684984i | −0.993162 | − | 0.116746i | \(-0.962754\pi\) |
0.597686 | + | 0.801730i | \(0.296087\pi\) | |||||||
\(968\) | 3.50000 | − | 6.06218i | 0.112494 | − | 0.194846i | ||||
\(969\) | −5.10102 | + | 7.21393i | −0.163868 | + | 0.231745i | ||||
\(970\) | 2.10102 | + | 3.63907i | 0.0674597 | + | 0.116844i | ||||
\(971\) | 0.0556128 | 0.00178470 | 0.000892350 | − | 1.00000i | \(-0.499716\pi\) | ||||
0.000892350 | 1.00000i | \(0.499716\pi\) | ||||||||
\(972\) | 13.9722 | + | 6.91215i | 0.448158 | + | 0.221707i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 18.1969 | + | 31.5180i | 0.583068 | + | 1.00990i | ||||
\(975\) | −14.2020 | + | 20.0847i | −0.454829 | + | 0.643226i | ||||
\(976\) | 3.27526 | − | 5.67291i | 0.104838 | − | 0.181585i | ||||
\(977\) | 18.7980 | − | 32.5590i | 0.601400 | − | 1.04166i | −0.391209 | − | 0.920302i | \(-0.627943\pi\) |
0.992609 | − | 0.121354i | \(-0.0387235\pi\) | |||||||
\(978\) | −34.1464 | − | 3.14626i | −1.09188 | − | 0.100606i | ||||
\(979\) | −16.8990 | − | 29.2699i | −0.540094 | − | 0.935470i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.6969 | − | 35.9124i | −0.405382 | − | 1.14659i | ||||
\(982\) | 15.7980 | 0.504133 | ||||||||
\(983\) | −16.5959 | − | 28.7450i | −0.529328 | − | 0.916822i | −0.999415 | − | 0.0342024i | \(-0.989111\pi\) |
0.470087 | − | 0.882620i | \(-0.344222\pi\) | |||||||
\(984\) | 7.10102 | + | 15.4135i | 0.226372 | + | 0.491364i | ||||
\(985\) | −12.1010 | + | 20.9596i | −0.385571 | + | 0.667828i | ||||
\(986\) | −6.89898 | + | 11.9494i | −0.219708 | + | 0.380546i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −6.24745 | − | 10.8209i | −0.198758 | − | 0.344259i | ||||
\(989\) | −6.89898 | −0.219375 | ||||||||
\(990\) | −5.65153 | + | 6.61037i | −0.179617 | + | 0.210091i | ||||
\(991\) | −1.79796 | −0.0571140 | −0.0285570 | − | 0.999592i | \(-0.509091\pi\) | ||||
−0.0285570 | + | 0.999592i | \(0.509091\pi\) | |||||||
\(992\) | 3.00000 | + | 5.19615i | 0.0952501 | + | 0.164978i | ||||
\(993\) | 8.10102 | + | 0.746431i | 0.257078 | + | 0.0236873i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.10102 | + | 3.63907i | −0.0666068 | + | 0.115366i | ||||
\(996\) | 2.00000 | − | 2.82843i | 0.0633724 | − | 0.0896221i | ||||
\(997\) | 26.0732 | + | 45.1601i | 0.825747 | + | 1.43024i | 0.901347 | + | 0.433097i | \(0.142579\pi\) |
−0.0756001 | + | 0.997138i | \(0.524087\pi\) | |||||||
\(998\) | −25.3939 | −0.803829 | ||||||||
\(999\) | 58.9898 | + | 16.6848i | 1.86635 | + | 0.527885i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))