Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(67,882)]
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([2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.h (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
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 | 79.2 | ||
Root | \(1.22474 - 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.79 |
Dual form | 882.2.h.k.67.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||
\(3\) | 0.724745 | − | 1.57313i | 0.418432 | − | 0.908248i | ||||
\(4\) | −0.500000 | + | 0.866025i | −0.250000 | + | 0.433013i | ||||
\(5\) | −1.44949 | −0.648232 | −0.324116 | − | 0.946017i | \(-0.605067\pi\) | ||||
−0.324116 | + | 0.946017i | \(0.605067\pi\) | |||||||
\(6\) | −1.72474 | + | 0.158919i | −0.704124 | + | 0.0648783i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | −1.94949 | − | 2.28024i | −0.649830 | − | 0.760080i | ||||
\(10\) | 0.724745 | + | 1.25529i | 0.229184 | + | 0.396959i | ||||
\(11\) | 2.00000 | 0.603023 | 0.301511 | − | 0.953463i | \(-0.402509\pi\) | ||||
0.301511 | + | 0.953463i | \(0.402509\pi\) | |||||||
\(12\) | 1.00000 | + | 1.41421i | 0.288675 | + | 0.408248i | ||||
\(13\) | −2.44949 | − | 4.24264i | −0.679366 | − | 1.17670i | −0.975172 | − | 0.221449i | \(-0.928921\pi\) |
0.295806 | − | 0.955248i | \(-0.404412\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −1.05051 | + | 2.28024i | −0.271241 | + | 0.588755i | ||||
\(16\) | −0.500000 | − | 0.866025i | −0.125000 | − | 0.216506i | ||||
\(17\) | −1.00000 | − | 1.73205i | −0.242536 | − | 0.420084i | 0.718900 | − | 0.695113i | \(-0.244646\pi\) |
−0.961436 | + | 0.275029i | \(0.911312\pi\) | |||||||
\(18\) | −1.00000 | + | 2.82843i | −0.235702 | + | 0.666667i | ||||
\(19\) | −1.27526 | + | 2.20881i | −0.292564 | + | 0.506735i | −0.974415 | − | 0.224756i | \(-0.927842\pi\) |
0.681852 | + | 0.731491i | \(0.261175\pi\) | |||||||
\(20\) | 0.724745 | − | 1.25529i | 0.162058 | − | 0.280692i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −1.00000 | − | 1.73205i | −0.213201 | − | 0.369274i | ||||
\(23\) | −1.00000 | −0.208514 | −0.104257 | − | 0.994550i | \(-0.533247\pi\) | ||||
−0.104257 | + | 0.994550i | \(0.533247\pi\) | |||||||
\(24\) | 0.724745 | − | 1.57313i | 0.147938 | − | 0.321114i | ||||
\(25\) | −2.89898 | −0.579796 | ||||||||
\(26\) | −2.44949 | + | 4.24264i | −0.480384 | + | 0.832050i | ||||
\(27\) | −5.00000 | + | 1.41421i | −0.962250 | + | 0.272166i | ||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 3.44949 | − | 5.97469i | 0.640554 | − | 1.10947i | −0.344755 | − | 0.938693i | \(-0.612038\pi\) |
0.985309 | − | 0.170780i | \(-0.0546286\pi\) | |||||||
\(30\) | 2.50000 | − | 0.230351i | 0.456435 | − | 0.0420561i | ||||
\(31\) | −3.00000 | + | 5.19615i | −0.538816 | + | 0.933257i | 0.460152 | + | 0.887840i | \(0.347795\pi\) |
−0.998968 | + | 0.0454165i | \(0.985539\pi\) | |||||||
\(32\) | −0.500000 | + | 0.866025i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 1.44949 | − | 3.14626i | 0.252324 | − | 0.547694i | ||||
\(34\) | −1.00000 | + | 1.73205i | −0.171499 | + | 0.297044i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 2.94949 | − | 0.548188i | 0.491582 | − | 0.0913647i | ||||
\(37\) | −5.89898 | + | 10.2173i | −0.969786 | + | 1.67972i | −0.273621 | + | 0.961838i | \(0.588221\pi\) |
−0.696165 | + | 0.717881i | \(0.745112\pi\) | |||||||
\(38\) | 2.55051 | 0.413747 | ||||||||
\(39\) | −8.44949 | + | 0.778539i | −1.35300 | + | 0.124666i | ||||
\(40\) | −1.44949 | −0.229184 | ||||||||
\(41\) | −4.89898 | − | 8.48528i | −0.765092 | − | 1.32518i | −0.940198 | − | 0.340629i | \(-0.889360\pi\) |
0.175106 | − | 0.984550i | \(-0.443973\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.44949 | + | 5.97469i | −0.526042 | + | 0.911132i | 0.473497 | + | 0.880795i | \(0.342991\pi\) |
−0.999540 | + | 0.0303367i | \(0.990342\pi\) | |||||||
\(44\) | −1.00000 | + | 1.73205i | −0.150756 | + | 0.261116i | ||||
\(45\) | 2.82577 | + | 3.30518i | 0.421240 | + | 0.492708i | ||||
\(46\) | 0.500000 | + | 0.866025i | 0.0737210 | + | 0.127688i | ||||
\(47\) | −4.89898 | − | 8.48528i | −0.714590 | − | 1.23771i | −0.963118 | − | 0.269081i | \(-0.913280\pi\) |
0.248528 | − | 0.968625i | \(-0.420053\pi\) | |||||||
\(48\) | −1.72474 | + | 0.158919i | −0.248945 | + | 0.0229379i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.44949 | + | 2.51059i | 0.204989 | + | 0.355051i | ||||
\(51\) | −3.44949 | + | 0.317837i | −0.483025 | + | 0.0445061i | ||||
\(52\) | 4.89898 | 0.679366 | ||||||||
\(53\) | 5.44949 | + | 9.43879i | 0.748545 | + | 1.29652i | 0.948520 | + | 0.316717i | \(0.102581\pi\) |
−0.199975 | + | 0.979801i | \(0.564086\pi\) | |||||||
\(54\) | 3.72474 | + | 3.62302i | 0.506874 | + | 0.493031i | ||||
\(55\) | −2.89898 | −0.390898 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 2.55051 | + | 3.60697i | 0.337823 | + | 0.477754i | ||||
\(58\) | −6.89898 | −0.905880 | ||||||||
\(59\) | 1.00000 | − | 1.73205i | 0.130189 | − | 0.225494i | −0.793560 | − | 0.608492i | \(-0.791775\pi\) |
0.923749 | + | 0.382998i | \(0.125108\pi\) | |||||||
\(60\) | −1.44949 | − | 2.04989i | −0.187128 | − | 0.264639i | ||||
\(61\) | −3.27526 | − | 5.67291i | −0.419353 | − | 0.726341i | 0.576521 | − | 0.817082i | \(-0.304410\pi\) |
−0.995875 | + | 0.0907408i | \(0.971077\pi\) | |||||||
\(62\) | 6.00000 | 0.762001 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | 3.55051 | + | 6.14966i | 0.440387 | + | 0.762772i | ||||
\(66\) | −3.44949 | + | 0.317837i | −0.424603 | + | 0.0391231i | ||||
\(67\) | 6.44949 | − | 11.1708i | 0.787931 | − | 1.36474i | −0.139302 | − | 0.990250i | \(-0.544486\pi\) |
0.927233 | − | 0.374486i | \(-0.122181\pi\) | |||||||
\(68\) | 2.00000 | 0.242536 | ||||||||
\(69\) | −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 | \(0.498092\pi\) | |||||||
\(72\) | −1.94949 | − | 2.28024i | −0.229750 | − | 0.268729i | ||||
\(73\) | 3.44949 | + | 5.97469i | 0.403732 | + | 0.699285i | 0.994173 | − | 0.107796i | \(-0.0343794\pi\) |
−0.590441 | + | 0.807081i | \(0.701046\pi\) | |||||||
\(74\) | 11.7980 | 1.37148 | ||||||||
\(75\) | −2.10102 | + | 4.56048i | −0.242605 | + | 0.526599i | ||||
\(76\) | −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 | \(0.799265\pi\) | |||||||
\(80\) | 0.724745 | + | 1.25529i | 0.0810289 | + | 0.140346i | ||||
\(81\) | −1.39898 | + | 8.89060i | −0.155442 | + | 0.987845i | ||||
\(82\) | −4.89898 | + | 8.48528i | −0.541002 | + | 0.937043i | ||||
\(83\) | −1.00000 | + | 1.73205i | −0.109764 | + | 0.190117i | −0.915675 | − | 0.401920i | \(-0.868343\pi\) |
0.805910 | + | 0.592037i | \(0.201676\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.44949 | + | 2.51059i | 0.157219 | + | 0.272312i | ||||
\(86\) | 6.89898 | 0.743936 | ||||||||
\(87\) | −6.89898 | − | 9.75663i | −0.739648 | − | 1.04602i | ||||
\(88\) | 2.00000 | 0.213201 | ||||||||
\(89\) | 8.44949 | − | 14.6349i | 0.895644 | − | 1.55130i | 0.0626387 | − | 0.998036i | \(-0.480048\pi\) |
0.833005 | − | 0.553265i | \(-0.186618\pi\) | |||||||
\(90\) | 1.44949 | − | 4.09978i | 0.152790 | − | 0.432154i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.500000 | − | 0.866025i | 0.0521286 | − | 0.0902894i | ||||
\(93\) | 6.00000 | + | 8.48528i | 0.622171 | + | 0.879883i | ||||
\(94\) | −4.89898 | + | 8.48528i | −0.505291 | + | 0.875190i | ||||
\(95\) | 1.84847 | − | 3.20164i | 0.189649 | − | 0.328482i | ||||
\(96\) | 1.00000 | + | 1.41421i | 0.102062 | + | 0.144338i | ||||
\(97\) | −1.44949 | + | 2.51059i | −0.147173 | + | 0.254912i | −0.930182 | − | 0.367099i | \(-0.880351\pi\) |
0.783008 | + | 0.622011i | \(0.213684\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −3.89898 | − | 4.56048i | −0.391862 | − | 0.458345i | ||||
\(100\) | 1.44949 | − | 2.51059i | 0.144949 | − | 0.251059i | ||||
\(101\) | −17.2474 | −1.71619 | −0.858093 | − | 0.513495i | \(-0.828351\pi\) | ||||
−0.858093 | + | 0.513495i | \(0.828351\pi\) | |||||||
\(102\) | 2.00000 | + | 2.82843i | 0.198030 | + | 0.280056i | ||||
\(103\) | 14.0000 | 1.37946 | 0.689730 | − | 0.724066i | \(-0.257729\pi\) | ||||
0.689730 | + | 0.724066i | \(0.257729\pi\) | |||||||
\(104\) | −2.44949 | − | 4.24264i | −0.240192 | − | 0.416025i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 5.44949 | − | 9.43879i | 0.529301 | − | 0.916777i | ||||
\(107\) | 6.00000 | − | 10.3923i | 0.580042 | − | 1.00466i | −0.415432 | − | 0.909624i | \(-0.636370\pi\) |
0.995474 | − | 0.0950377i | \(-0.0302972\pi\) | |||||||
\(108\) | 1.27526 | − | 5.03723i | 0.122711 | − | 0.484708i | ||||
\(109\) | −6.34847 | − | 10.9959i | −0.608073 | − | 1.05321i | −0.991558 | − | 0.129666i | \(-0.958609\pi\) |
0.383485 | − | 0.923547i | \(-0.374724\pi\) | |||||||
\(110\) | 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 | 0.973084 | − | 0.230449i | \(-0.0740194\pi\) |
−0.686117 | + | 0.727492i | \(0.740686\pi\) | |||||||
\(114\) | 1.84847 | − | 4.01229i | 0.173125 | − | 0.375785i | ||||
\(115\) | 1.44949 | 0.135166 | ||||||||
\(116\) | 3.44949 | + | 5.97469i | 0.320277 | + | 0.554736i | ||||
\(117\) | −4.89898 | + | 13.8564i | −0.452911 | + | 1.28103i | ||||
\(118\) | −2.00000 | −0.184115 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | −1.05051 | + | 2.28024i | −0.0958980 | + | 0.208156i | ||||
\(121\) | −7.00000 | −0.636364 | ||||||||
\(122\) | −3.27526 | + | 5.67291i | −0.296528 | + | 0.513601i | ||||
\(123\) | −16.8990 | + | 1.55708i | −1.52373 | + | 0.140397i | ||||
\(124\) | −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 | ||||
\(129\) | 6.89898 | + | 9.75663i | 0.607421 | + | 0.859023i | ||||
\(130\) | 3.55051 | − | 6.14966i | 0.311400 | − | 0.539361i | ||||
\(131\) | −8.55051 | −0.747062 | −0.373531 | − | 0.927618i | \(-0.621853\pi\) | ||||
−0.373531 | + | 0.927618i | \(0.621853\pi\) | |||||||
\(132\) | 2.00000 | + | 2.82843i | 0.174078 | + | 0.246183i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.8990 | −1.11430 | ||||||||
\(135\) | 7.24745 | − | 2.04989i | 0.623761 | − | 0.176426i | ||||
\(136\) | −1.00000 | − | 1.73205i | −0.0857493 | − | 0.148522i | ||||
\(137\) | 7.79796 | 0.666225 | 0.333112 | − | 0.942887i | \(-0.391901\pi\) | ||||
0.333112 | + | 0.942887i | \(0.391901\pi\) | |||||||
\(138\) | 1.72474 | − | 0.158919i | 0.146820 | − | 0.0135281i | ||||
\(139\) | −2.27526 | − | 3.94086i | −0.192985 | − | 0.334259i | 0.753253 | − | 0.657730i | \(-0.228483\pi\) |
−0.946238 | + | 0.323471i | \(0.895150\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −16.8990 | + | 1.55708i | −1.42315 | + | 0.131130i | ||||
\(142\) | −0.0505103 | − | 0.0874863i | −0.00423873 | − | 0.00734169i | ||||
\(143\) | −4.89898 | − | 8.48528i | −0.409673 | − | 0.709575i | ||||
\(144\) | −1.00000 | + | 2.82843i | −0.0833333 | + | 0.235702i | ||||
\(145\) | −5.00000 | + | 8.66025i | −0.415227 | + | 0.719195i | ||||
\(146\) | 3.44949 | − | 5.97469i | 0.285482 | − | 0.494469i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −5.89898 | − | 10.2173i | −0.484893 | − | 0.839860i | ||||
\(149\) | −6.00000 | −0.491539 | −0.245770 | − | 0.969328i | \(-0.579041\pi\) | ||||
−0.245770 | + | 0.969328i | \(0.579041\pi\) | |||||||
\(150\) | 5.00000 | − | 0.460702i | 0.408248 | − | 0.0376161i | ||||
\(151\) | −5.00000 | −0.406894 | −0.203447 | − | 0.979086i | \(-0.565214\pi\) | ||||
−0.203447 | + | 0.979086i | \(0.565214\pi\) | |||||||
\(152\) | −1.27526 | + | 2.20881i | −0.103437 | + | 0.179158i | ||||
\(153\) | −2.00000 | + | 5.65685i | −0.161690 | + | 0.457330i | ||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 4.34847 | − | 7.53177i | 0.349277 | − | 0.604966i | ||||
\(156\) | 3.55051 | − | 7.70674i | 0.284268 | − | 0.617033i | ||||
\(157\) | 4.17423 | − | 7.22999i | 0.333140 | − | 0.577016i | −0.649986 | − | 0.759947i | \(-0.725225\pi\) |
0.983126 | + | 0.182931i | \(0.0585584\pi\) | |||||||
\(158\) | 0.949490 | − | 1.64456i | 0.0755373 | − | 0.130835i | ||||
\(159\) | 18.7980 | − | 1.73205i | 1.49078 | − | 0.137361i | ||||
\(160\) | 0.724745 | − | 1.25529i | 0.0572961 | − | 0.0992398i | ||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 8.39898 | − | 3.23375i | 0.659886 | − | 0.254067i | ||||
\(163\) | 9.89898 | − | 17.1455i | 0.775348 | − | 1.34294i | −0.159251 | − | 0.987238i | \(-0.550908\pi\) |
0.934599 | − | 0.355704i | \(-0.115759\pi\) | |||||||
\(164\) | 9.79796 | 0.765092 | ||||||||
\(165\) | −2.10102 | + | 4.56048i | −0.163564 | + | 0.355033i | ||||
\(166\) | 2.00000 | 0.155230 | ||||||||
\(167\) | 5.34847 | + | 9.26382i | 0.413877 | + | 0.716856i | 0.995310 | − | 0.0967384i | \(-0.0308410\pi\) |
−0.581433 | + | 0.813594i | \(0.697508\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −5.50000 | + | 9.52628i | −0.423077 | + | 0.732791i | ||||
\(170\) | 1.44949 | − | 2.51059i | 0.111171 | − | 0.192553i | ||||
\(171\) | 7.52270 | − | 1.39816i | 0.575276 | − | 0.106920i | ||||
\(172\) | −3.44949 | − | 5.97469i | −0.263021 | − | 0.455566i | ||||
\(173\) | 1.55051 | + | 2.68556i | 0.117883 | + | 0.204180i | 0.918929 | − | 0.394424i | \(-0.129056\pi\) |
−0.801045 | + | 0.598604i | \(0.795723\pi\) | |||||||
\(174\) | −5.00000 | + | 10.8530i | −0.379049 | + | 0.822764i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.00000 | − | 1.73205i | −0.0753778 | − | 0.130558i | ||||
\(177\) | −2.00000 | − | 2.82843i | −0.150329 | − | 0.212598i | ||||
\(178\) | −16.8990 | −1.26663 | ||||||||
\(179\) | −10.3485 | − | 17.9241i | −0.773481 | − | 1.33971i | −0.935644 | − | 0.352944i | \(-0.885181\pi\) |
0.162163 | − | 0.986764i | \(-0.448153\pi\) | |||||||
\(180\) | −4.27526 | + | 0.794593i | −0.318659 | + | 0.0592255i | ||||
\(181\) | −10.3485 | −0.769196 | −0.384598 | − | 0.923084i | \(-0.625660\pi\) | ||||
−0.384598 | + | 0.923084i | \(0.625660\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −11.2980 | + | 1.04100i | −0.835169 | + | 0.0769528i | ||||
\(184\) | −1.00000 | −0.0737210 | ||||||||
\(185\) | 8.55051 | − | 14.8099i | 0.628646 | − | 1.08885i | ||||
\(186\) | 4.34847 | − | 9.43879i | 0.318845 | − | 0.692086i | ||||
\(187\) | −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 | \(0.880736\pi\) | |||||||
\(192\) | 0.724745 | − | 1.57313i | 0.0523040 | − | 0.113531i | ||||
\(193\) | 8.94949 | − | 15.5010i | 0.644198 | − | 1.11578i | −0.340288 | − | 0.940321i | \(-0.610524\pi\) |
0.984486 | − | 0.175463i | \(-0.0561422\pi\) | |||||||
\(194\) | 2.89898 | 0.208135 | ||||||||
\(195\) | 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 | \(0.297230\pi\) | |||||||
\(198\) | −2.00000 | + | 5.65685i | −0.142134 | + | 0.402015i | ||||
\(199\) | 1.44949 | + | 2.51059i | 0.102752 | + | 0.177971i | 0.912817 | − | 0.408368i | \(-0.133902\pi\) |
−0.810066 | + | 0.586339i | \(0.800569\pi\) | |||||||
\(200\) | −2.89898 | −0.204989 | ||||||||
\(201\) | −12.8990 | − | 18.2419i | −0.909824 | − | 1.28669i | ||||
\(202\) | 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 | ||||
\(206\) | −7.00000 | − | 12.1244i | −0.487713 | − | 0.844744i | ||||
\(207\) | 1.94949 | + | 2.28024i | 0.135499 | + | 0.158488i | ||||
\(208\) | −2.44949 | + | 4.24264i | −0.169842 | + | 0.294174i | ||||
\(209\) | −2.55051 | + | 4.41761i | −0.176422 | + | 0.305573i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.44949 | − | 11.1708i | −0.444001 | − | 0.769033i | 0.553981 | − | 0.832529i | \(-0.313108\pi\) |
−0.997982 | + | 0.0634968i | \(0.979775\pi\) | |||||||
\(212\) | −10.8990 | −0.748545 | ||||||||
\(213\) | 0.0732141 | − | 0.158919i | 0.00501655 | − | 0.0108889i | ||||
\(214\) | −12.0000 | −0.820303 | ||||||||
\(215\) | 5.00000 | − | 8.66025i | 0.340997 | − | 0.590624i | ||||
\(216\) | −5.00000 | + | 1.41421i | −0.340207 | + | 0.0962250i | ||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −6.34847 | + | 10.9959i | −0.429973 | + | 0.744734i | ||||
\(219\) | 11.8990 | − | 1.09638i | 0.804059 | − | 0.0740862i | ||||
\(220\) | 1.44949 | − | 2.51059i | 0.0977246 | − | 0.169264i | ||||
\(221\) | −4.89898 | + | 8.48528i | −0.329541 | + | 0.570782i | ||||
\(222\) | 8.55051 | − | 18.5597i | 0.573873 | − | 1.24565i | ||||
\(223\) | 5.55051 | − | 9.61377i | 0.371690 | − | 0.643785i | −0.618136 | − | 0.786071i | \(-0.712112\pi\) |
0.989826 | + | 0.142286i | \(0.0454452\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.65153 | + | 6.61037i | 0.376769 | + | 0.440691i | ||||
\(226\) | 3.05051 | − | 5.28364i | 0.202917 | − | 0.351462i | ||||
\(227\) | −5.44949 | −0.361695 | −0.180848 | − | 0.983511i | \(-0.557884\pi\) | ||||
−0.180848 | + | 0.983511i | \(0.557884\pi\) | |||||||
\(228\) | −4.39898 | + | 0.405324i | −0.291330 | + | 0.0268432i | ||||
\(229\) | 1.24745 | 0.0824337 | 0.0412169 | − | 0.999150i | \(-0.486877\pi\) | ||||
0.0412169 | + | 0.999150i | \(0.486877\pi\) | |||||||
\(230\) | −0.724745 | − | 1.25529i | −0.0477883 | − | 0.0827717i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.44949 | − | 5.97469i | 0.226470 | − | 0.392258i | ||||
\(233\) | 3.50000 | − | 6.06218i | 0.229293 | − | 0.397146i | −0.728306 | − | 0.685252i | \(-0.759692\pi\) |
0.957599 | + | 0.288106i | \(0.0930254\pi\) | |||||||
\(234\) | 14.4495 | − | 2.68556i | 0.944593 | − | 0.175561i | ||||
\(235\) | 7.10102 | + | 12.2993i | 0.463220 | + | 0.802320i | ||||
\(236\) | 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 | 0.734904 | − | 0.678171i | \(-0.237227\pi\) |
−0.954766 | + | 0.297360i | \(0.903894\pi\) | |||||||
\(240\) | 2.50000 | − | 0.230351i | 0.161374 | − | 0.0148691i | ||||
\(241\) | 0.898979 | 0.0579084 | 0.0289542 | − | 0.999581i | \(-0.490782\pi\) | ||||
0.0289542 | + | 0.999581i | \(0.490782\pi\) | |||||||
\(242\) | 3.50000 | + | 6.06218i | 0.224989 | + | 0.389692i | ||||
\(243\) | 12.9722 | + | 8.64420i | 0.832167 | + | 0.554526i | ||||
\(244\) | 6.55051 | 0.419353 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 9.79796 | + | 13.8564i | 0.624695 | + | 0.883452i | ||||
\(247\) | 12.4949 | 0.795031 | ||||||||
\(248\) | −3.00000 | + | 5.19615i | −0.190500 | + | 0.329956i | ||||
\(249\) | 2.00000 | + | 2.82843i | 0.126745 | + | 0.179244i | ||||
\(250\) | −5.72474 | − | 9.91555i | −0.362065 | − | 0.627114i | ||||
\(251\) | 17.4495 | 1.10140 | 0.550701 | − | 0.834703i | \(-0.314360\pi\) | ||||
0.550701 | + | 0.834703i | \(0.314360\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.00000 | −0.125739 | ||||||||
\(254\) | 1.50000 | + | 2.59808i | 0.0941184 | + | 0.163018i | ||||
\(255\) | 5.00000 | − | 0.460702i | 0.313112 | − | 0.0288503i | ||||
\(256\) | −0.500000 | + | 0.866025i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 8.20204 | 0.511629 | 0.255815 | − | 0.966726i | \(-0.417656\pi\) | ||||
0.255815 | + | 0.966726i | \(0.417656\pi\) | |||||||
\(258\) | 5.00000 | − | 10.8530i | 0.311286 | − | 0.675679i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −7.10102 | −0.440387 | ||||||||
\(261\) | −20.3485 | + | 3.78194i | −1.25954 | + | 0.234096i | ||||
\(262\) | 4.27526 | + | 7.40496i | 0.264126 | + | 0.457480i | ||||
\(263\) | 25.8990 | 1.59700 | 0.798500 | − | 0.601995i | \(-0.205627\pi\) | ||||
0.798500 | + | 0.601995i | \(0.205627\pi\) | |||||||
\(264\) | 1.44949 | − | 3.14626i | 0.0892099 | − | 0.193639i | ||||
\(265\) | −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 | ||||
\(269\) | 9.17423 | + | 15.8902i | 0.559363 | + | 0.968845i | 0.997550 | + | 0.0699611i | \(0.0222875\pi\) |
−0.438187 | + | 0.898884i | \(0.644379\pi\) | |||||||
\(270\) | −5.39898 | − | 5.25153i | −0.328571 | − | 0.319598i | ||||
\(271\) | −3.55051 | + | 6.14966i | −0.215678 | + | 0.373565i | −0.953482 | − | 0.301450i | \(-0.902530\pi\) |
0.737804 | + | 0.675015i | \(0.235863\pi\) | |||||||
\(272\) | −1.00000 | + | 1.73205i | −0.0606339 | + | 0.105021i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.89898 | − | 6.75323i | −0.235546 | − | 0.407978i | ||||
\(275\) | −5.79796 | −0.349630 | ||||||||
\(276\) | −1.00000 | − | 1.41421i | −0.0601929 | − | 0.0851257i | ||||
\(277\) | −18.6969 | −1.12339 | −0.561695 | − | 0.827344i | \(-0.689851\pi\) | ||||
−0.561695 | + | 0.827344i | \(0.689851\pi\) | |||||||
\(278\) | −2.27526 | + | 3.94086i | −0.136461 | + | 0.236357i | ||||
\(279\) | 17.6969 | − | 3.28913i | 1.05949 | − | 0.196915i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 9.50000 | − | 16.4545i | 0.566722 | − | 0.981592i | −0.430165 | − | 0.902750i | \(-0.641545\pi\) |
0.996887 | − | 0.0788417i | \(-0.0251222\pi\) | |||||||
\(282\) | 9.79796 | + | 13.8564i | 0.583460 | + | 0.825137i | ||||
\(283\) | 12.7247 | − | 22.0399i | 0.756408 | − | 1.31014i | −0.188264 | − | 0.982118i | \(-0.560286\pi\) |
0.944672 | − | 0.328018i | \(-0.106381\pi\) | |||||||
\(284\) | −0.0505103 | + | 0.0874863i | −0.00299723 | + | 0.00519136i | ||||
\(285\) | −3.69694 | − | 5.22826i | −0.218988 | − | 0.309695i | ||||
\(286\) | −4.89898 | + | 8.48528i | −0.289683 | + | 0.501745i | ||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 2.94949 | − | 0.548188i | 0.173800 | − | 0.0323023i | ||||
\(289\) | 6.50000 | − | 11.2583i | 0.382353 | − | 0.662255i | ||||
\(290\) | 10.0000 | 0.587220 | ||||||||
\(291\) | 2.89898 | + | 4.09978i | 0.169941 | + | 0.240333i | ||||
\(292\) | −6.89898 | −0.403732 | ||||||||
\(293\) | −1.37628 | − | 2.38378i | −0.0804029 | − | 0.139262i | 0.823020 | − | 0.568012i | \(-0.192287\pi\) |
−0.903423 | + | 0.428750i | \(0.858954\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.44949 | + | 2.51059i | −0.0843926 | + | 0.146172i | ||||
\(296\) | −5.89898 | + | 10.2173i | −0.342871 | + | 0.593870i | ||||
\(297\) | −10.0000 | + | 2.82843i | −0.580259 | + | 0.164122i | ||||
\(298\) | 3.00000 | + | 5.19615i | 0.173785 | + | 0.301005i | ||||
\(299\) | 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 | ||||
\(303\) | −12.5000 | + | 27.1325i | −0.718106 | + | 1.55872i | ||||
\(304\) | 2.55051 | 0.146282 | ||||||||
\(305\) | 4.74745 | + | 8.22282i | 0.271838 | + | 0.470837i | ||||
\(306\) | 5.89898 | − | 1.09638i | 0.337222 | − | 0.0626757i | ||||
\(307\) | 25.2474 | 1.44095 | 0.720474 | − | 0.693482i | \(-0.243924\pi\) | ||||
0.720474 | + | 0.693482i | \(0.243924\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 10.1464 | − | 22.0239i | 0.577210 | − | 1.25289i | ||||
\(310\) | −8.69694 | −0.493953 | ||||||||
\(311\) | −15.3485 | + | 26.5843i | −0.870332 | + | 1.50746i | −0.00867810 | + | 0.999962i | \(0.502762\pi\) |
−0.861654 | + | 0.507497i | \(0.830571\pi\) | |||||||
\(312\) | −8.44949 | + | 0.778539i | −0.478358 | + | 0.0440761i | ||||
\(313\) | 2.34847 | + | 4.06767i | 0.132743 | + | 0.229918i | 0.924733 | − | 0.380616i | \(-0.124288\pi\) |
−0.791990 | + | 0.610534i | \(0.790955\pi\) | |||||||
\(314\) | −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 | \(-0.364094\pi\) | |||||||
\(318\) | −10.8990 | − | 15.4135i | −0.611184 | − | 0.864345i | ||||
\(319\) | 6.89898 | − | 11.9494i | 0.386269 | − | 0.669037i | ||||
\(320\) | −1.44949 | −0.0810289 | ||||||||
\(321\) | −12.0000 | − | 16.9706i | −0.669775 | − | 0.947204i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.10102 | 0.283828 | ||||||||
\(324\) | −7.00000 | − | 5.65685i | −0.388889 | − | 0.314270i | ||||
\(325\) | 7.10102 | + | 12.2993i | 0.393894 | + | 0.682244i | ||||
\(326\) | −19.7980 | −1.09651 | ||||||||
\(327\) | −21.8990 | + | 2.01778i | −1.21102 | + | 0.111583i | ||||
\(328\) | −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 | \(0.874537\pi\) | |||||||
\(332\) | −1.00000 | − | 1.73205i | −0.0548821 | − | 0.0950586i | ||||
\(333\) | 34.7980 | − | 6.46750i | 1.90692 | − | 0.354417i | ||||
\(334\) | 5.34847 | − | 9.26382i | 0.292655 | − | 0.506894i | ||||
\(335\) | −9.34847 | + | 16.1920i | −0.510761 | + | 0.884665i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 11.6969 | + | 20.2597i | 0.637173 | + | 1.10362i | 0.986050 | + | 0.166447i | \(0.0532296\pi\) |
−0.348877 | + | 0.937168i | \(0.613437\pi\) | |||||||
\(338\) | 11.0000 | 0.598321 | ||||||||
\(339\) | 10.5227 | − | 0.969566i | 0.571515 | − | 0.0526596i | ||||
\(340\) | −2.89898 | −0.157219 | ||||||||
\(341\) | −6.00000 | + | 10.3923i | −0.324918 | + | 0.562775i | ||||
\(342\) | −4.97219 | − | 5.81577i | −0.268865 | − | 0.314481i | ||||
\(343\) | 0 | 0 | ||||||||
\(344\) | −3.44949 | + | 5.97469i | −0.185984 | + | 0.322134i | ||||
\(345\) | 1.05051 | − | 2.28024i | 0.0565576 | − | 0.122764i | ||||
\(346\) | 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 | \(0.990365\pi\) | |||||||
\(348\) | 11.8990 | − | 1.09638i | 0.637852 | − | 0.0587719i | ||||
\(349\) | −5.55051 | + | 9.61377i | −0.297112 | + | 0.514613i | −0.975474 | − | 0.220115i | \(-0.929357\pi\) |
0.678362 | + | 0.734728i | \(0.262690\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 18.2474 | + | 17.7491i | 0.973977 | + | 0.947377i | ||||
\(352\) | −1.00000 | + | 1.73205i | −0.0533002 | + | 0.0923186i | ||||
\(353\) | −6.00000 | −0.319348 | −0.159674 | − | 0.987170i | \(-0.551044\pi\) | ||||
−0.159674 | + | 0.987170i | \(0.551044\pi\) | |||||||
\(354\) | −1.44949 | + | 3.14626i | −0.0770395 | + | 0.167222i | ||||
\(355\) | −0.146428 | −0.00777160 | ||||||||
\(356\) | 8.44949 | + | 14.6349i | 0.447822 | + | 0.775651i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −10.3485 | + | 17.9241i | −0.546934 | + | 0.947317i | ||||
\(359\) | 4.39898 | − | 7.61926i | 0.232169 | − | 0.402129i | −0.726277 | − | 0.687402i | \(-0.758751\pi\) |
0.958446 | + | 0.285273i | \(0.0920843\pi\) | |||||||
\(360\) | 2.82577 | + | 3.30518i | 0.148931 | + | 0.174198i | ||||
\(361\) | 6.24745 | + | 10.8209i | 0.328813 | + | 0.569521i | ||||
\(362\) | 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 | ||||
\(366\) | 6.55051 | + | 9.26382i | 0.342401 | + | 0.484228i | ||||
\(367\) | −13.7980 | −0.720248 | −0.360124 | − | 0.932905i | \(-0.617266\pi\) | ||||
−0.360124 | + | 0.932905i | \(0.617266\pi\) | |||||||
\(368\) | 0.500000 | + | 0.866025i | 0.0260643 | + | 0.0451447i | ||||
\(369\) | −9.79796 | + | 27.7128i | −0.510061 | + | 1.44267i | ||||
\(370\) | −17.1010 | −0.889040 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −10.3485 | + | 0.953512i | −0.536543 | + | 0.0494373i | ||||
\(373\) | −6.89898 | −0.357216 | −0.178608 | − | 0.983920i | \(-0.557159\pi\) | ||||
−0.178608 | + | 0.983920i | \(0.557159\pi\) | |||||||
\(374\) | −2.00000 | + | 3.46410i | −0.103418 | + | 0.179124i | ||||
\(375\) | 8.29796 | − | 18.0116i | 0.428505 | − | 0.930113i | ||||
\(376\) | −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 | ||||
\(381\) | −2.17423 | + | 4.71940i | −0.111389 | + | 0.241782i | ||||
\(382\) | −2.05051 | + | 3.55159i | −0.104913 | + | 0.181715i | ||||
\(383\) | −2.89898 | −0.148131 | −0.0740655 | − | 0.997253i | \(-0.523597\pi\) | ||||
−0.0740655 | + | 0.997253i | \(0.523597\pi\) | |||||||
\(384\) | −1.72474 | + | 0.158919i | −0.0880155 | + | 0.00810978i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −17.8990 | −0.911034 | ||||||||
\(387\) | 20.3485 | − | 3.78194i | 1.03437 | − | 0.192247i | ||||
\(388\) | −1.44949 | − | 2.51059i | −0.0735867 | − | 0.127456i | ||||
\(389\) | −24.8990 | −1.26243 | −0.631214 | − | 0.775609i | \(-0.717443\pi\) | ||||
−0.631214 | + | 0.775609i | \(0.717443\pi\) | |||||||
\(390\) | −7.10102 | − | 10.0424i | −0.359574 | − | 0.508515i | ||||
\(391\) | 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 | ||||
\(395\) | −1.37628 | − | 2.38378i | −0.0692479 | − | 0.119941i | ||||
\(396\) | 5.89898 | − | 1.09638i | 0.296435 | − | 0.0550950i | ||||
\(397\) | −19.3485 | + | 33.5125i | −0.971072 | + | 1.68195i | −0.278740 | + | 0.960367i | \(0.589917\pi\) |
−0.692332 | + | 0.721579i | \(0.743417\pi\) | |||||||
\(398\) | 1.44949 | − | 2.51059i | 0.0726564 | − | 0.125844i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 1.44949 | + | 2.51059i | 0.0724745 | + | 0.125529i | ||||
\(401\) | −19.8990 | −0.993708 | −0.496854 | − | 0.867834i | \(-0.665511\pi\) | ||||
−0.496854 | + | 0.867834i | \(0.665511\pi\) | |||||||
\(402\) | −9.34847 | + | 20.2918i | −0.466259 | + | 1.01206i | ||||
\(403\) | 29.3939 | 1.46421 | ||||||||
\(404\) | 8.62372 | − | 14.9367i | 0.429046 | − | 0.743130i | ||||
\(405\) | 2.02781 | − | 12.8868i | 0.100763 | − | 0.640352i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −11.7980 | + | 20.4347i | −0.584803 | + | 1.01291i | ||||
\(408\) | −3.44949 | + | 0.317837i | −0.170775 | + | 0.0157353i | ||||
\(409\) | 6.89898 | − | 11.9494i | 0.341133 | − | 0.590859i | −0.643511 | − | 0.765437i | \(-0.722523\pi\) |
0.984643 | + | 0.174578i | \(0.0558562\pi\) | |||||||
\(410\) | 7.10102 | − | 12.2993i | 0.350694 | − | 0.607421i | ||||
\(411\) | 5.65153 | − | 12.2672i | 0.278769 | − | 0.605097i | ||||
\(412\) | −7.00000 | + | 12.1244i | −0.344865 | + | 0.597324i | ||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 1.00000 | − | 2.82843i | 0.0491473 | − | 0.139010i | ||||
\(415\) | 1.44949 | − | 2.51059i | 0.0711527 | − | 0.123240i | ||||
\(416\) | 4.89898 | 0.240192 | ||||||||
\(417\) | −7.84847 | + | 0.723161i | −0.384341 | + | 0.0354133i | ||||
\(418\) | 5.10102 | 0.249499 | ||||||||
\(419\) | −14.7247 | − | 25.5040i | −0.719351 | − | 1.24595i | −0.961257 | − | 0.275653i | \(-0.911106\pi\) |
0.241906 | − | 0.970300i | \(-0.422227\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.4495 | + | 19.8311i | −0.558014 | + | 0.966509i | 0.439648 | + | 0.898170i | \(0.355103\pi\) |
−0.997662 | + | 0.0683385i | \(0.978230\pi\) | |||||||
\(422\) | −6.44949 | + | 11.1708i | −0.313956 | + | 0.543788i | ||||
\(423\) | −9.79796 | + | 27.7128i | −0.476393 | + | 1.34744i | ||||
\(424\) | 5.44949 | + | 9.43879i | 0.264651 | + | 0.458388i | ||||
\(425\) | 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 | ||||
\(429\) | −16.8990 | + | 1.55708i | −0.815890 | + | 0.0751764i | ||||
\(430\) | −10.0000 | −0.482243 | ||||||||
\(431\) | −15.7980 | − | 27.3629i | −0.760961 | − | 1.31802i | −0.942356 | − | 0.334613i | \(-0.891395\pi\) |
0.181395 | − | 0.983410i | \(-0.441939\pi\) | |||||||
\(432\) | 3.72474 | + | 3.62302i | 0.179207 | + | 0.174313i | ||||
\(433\) | −7.79796 | −0.374746 | −0.187373 | − | 0.982289i | \(-0.559997\pi\) | ||||
−0.187373 | + | 0.982289i | \(0.559997\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 10.0000 | + | 14.1421i | 0.479463 | + | 0.678064i | ||||
\(436\) | 12.6969 | 0.608073 | ||||||||
\(437\) | 1.27526 | − | 2.20881i | 0.0610037 | − | 0.105662i | ||||
\(438\) | −6.89898 | − | 9.75663i | −0.329646 | − | 0.466190i | ||||
\(439\) | −1.10102 | − | 1.90702i | −0.0525488 | − | 0.0910173i | 0.838554 | − | 0.544818i | \(-0.183401\pi\) |
−0.891103 | + | 0.453801i | \(0.850068\pi\) | |||||||
\(440\) | −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 | \(0.718176\pi\) | |||||||
\(444\) | −20.3485 | + | 1.87492i | −0.965696 | + | 0.0889795i | ||||
\(445\) | −12.2474 | + | 21.2132i | −0.580585 | + | 1.00560i | ||||
\(446\) | −11.1010 | −0.525649 | ||||||||
\(447\) | −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 | \(0.338459\pi\) | |||||||
\(450\) | 2.89898 | − | 8.19955i | 0.136659 | − | 0.386531i | ||||
\(451\) | −9.79796 | − | 16.9706i | −0.461368 | − | 0.799113i | ||||
\(452\) | −6.10102 | −0.286968 | ||||||||
\(453\) | −3.62372 | + | 7.86566i | −0.170257 | + | 0.369561i | ||||
\(454\) | 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 | \(0.699145\pi\) | |||||||
\(458\) | −0.623724 | − | 1.08032i | −0.0291447 | − | 0.0504801i | ||||
\(459\) | 7.44949 | + | 7.24604i | 0.347712 | + | 0.338216i | ||||
\(460\) | −0.724745 | + | 1.25529i | −0.0337914 | + | 0.0585284i | ||||
\(461\) | −2.82577 | + | 4.89437i | −0.131609 | + | 0.227954i | −0.924297 | − | 0.381674i | \(-0.875348\pi\) |
0.792688 | + | 0.609628i | \(0.208681\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −1.84847 | − | 3.20164i | −0.0859057 | − | 0.148793i | 0.819871 | − | 0.572548i | \(-0.194045\pi\) |
−0.905777 | + | 0.423755i | \(0.860712\pi\) | |||||||
\(464\) | −6.89898 | −0.320277 | ||||||||
\(465\) | −8.69694 | − | 12.2993i | −0.403311 | − | 0.570368i | ||||
\(466\) | −7.00000 | −0.324269 | ||||||||
\(467\) | −5.00000 | + | 8.66025i | −0.231372 | + | 0.400749i | −0.958212 | − | 0.286058i | \(-0.907655\pi\) |
0.726840 | + | 0.686807i | \(0.240988\pi\) | |||||||
\(468\) | −9.55051 | − | 11.1708i | −0.441472 | − | 0.516372i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 7.10102 | − | 12.2993i | 0.327546 | − | 0.567326i | ||||
\(471\) | −8.34847 | − | 11.8065i | −0.384677 | − | 0.544016i | ||||
\(472\) | 1.00000 | − | 1.73205i | 0.0460287 | − | 0.0797241i | ||||
\(473\) | −6.89898 | + | 11.9494i | −0.317215 | + | 0.549433i | ||||
\(474\) | −1.89898 | − | 2.68556i | −0.0872230 | − | 0.123352i | ||||
\(475\) | 3.69694 | − | 6.40329i | 0.169627 | − | 0.293803i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 10.8990 | − | 30.8270i | 0.499030 | − | 1.41147i | ||||
\(478\) | −3.39898 | + | 5.88721i | −0.155466 | + | 0.269274i | ||||
\(479\) | 9.59592 | 0.438449 | 0.219224 | − | 0.975674i | \(-0.429647\pi\) | ||||
0.219224 | + | 0.975674i | \(0.429647\pi\) | |||||||
\(480\) | −1.44949 | − | 2.04989i | −0.0661599 | − | 0.0935642i | ||||
\(481\) | 57.7980 | 2.63536 | ||||||||
\(482\) | −0.449490 | − | 0.778539i | −0.0204737 | − | 0.0354615i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.50000 | − | 6.06218i | 0.159091 | − | 0.275554i | ||||
\(485\) | 2.10102 | − | 3.63907i | 0.0954024 | − | 0.165242i | ||||
\(486\) | 1.00000 | − | 15.5563i | 0.0453609 | − | 0.705650i | ||||
\(487\) | 18.1969 | + | 31.5180i | 0.824582 | + | 1.42822i | 0.902238 | + | 0.431238i | \(0.141923\pi\) |
−0.0776564 | + | 0.996980i | \(0.524744\pi\) | |||||||
\(488\) | −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 | 0.630893 | − | 0.775869i | \(-0.282688\pi\) |
−0.987369 | + | 0.158435i | \(0.949355\pi\) | |||||||
\(492\) | 7.10102 | − | 15.4135i | 0.320139 | − | 0.694894i | ||||
\(493\) | −13.7980 | −0.621429 | ||||||||
\(494\) | −6.24745 | − | 10.8209i | −0.281086 | − | 0.486855i | ||||
\(495\) | 5.65153 | + | 6.61037i | 0.254017 | + | 0.297114i | ||||
\(496\) | 6.00000 | 0.269408 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 1.44949 | − | 3.14626i | 0.0649532 | − | 0.140987i | ||||
\(499\) | −25.3939 | −1.13679 | −0.568393 | − | 0.822757i | \(-0.692435\pi\) | ||||
−0.568393 | + | 0.822757i | \(0.692435\pi\) | |||||||
\(500\) | −5.72474 | + | 9.91555i | −0.256018 | + | 0.443437i | ||||
\(501\) | 18.4495 | − | 1.69994i | 0.824262 | − | 0.0759478i | ||||
\(502\) | −8.72474 | − | 15.1117i | −0.389404 | − | 0.674468i | ||||
\(503\) | −24.4949 | −1.09217 | −0.546087 | − | 0.837729i | \(-0.683883\pi\) | ||||
−0.546087 | + | 0.837729i | \(0.683883\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 25.0000 | 1.11249 | ||||||||
\(506\) | 1.00000 | + | 1.73205i | 0.0444554 | + | 0.0769991i | ||||
\(507\) | 11.0000 | + | 15.5563i | 0.488527 | + | 0.690882i | ||||
\(508\) | 1.50000 | − | 2.59808i | 0.0665517 | − | 0.115271i | ||||
\(509\) | −7.10102 | −0.314747 | −0.157374 | − | 0.987539i | \(-0.550303\pi\) | ||||
−0.157374 | + | 0.987539i | \(0.550303\pi\) | |||||||
\(510\) | −2.89898 | − | 4.09978i | −0.128369 | − | 0.181541i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 3.25255 | − | 12.8475i | 0.143604 | − | 0.567232i | ||||
\(514\) | −4.10102 | − | 7.10318i | −0.180888 | − | 0.313308i | ||||
\(515\) | −20.2929 | −0.894210 | ||||||||
\(516\) | −11.8990 | + | 1.09638i | −0.523823 | + | 0.0482653i | ||||
\(517\) | −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 | ||||
\(521\) | 4.65153 | + | 8.05669i | 0.203787 | + | 0.352970i | 0.949746 | − | 0.313023i | \(-0.101342\pi\) |
−0.745958 | + | 0.665993i | \(0.768008\pi\) | |||||||
\(522\) | 13.4495 | + | 15.7313i | 0.588668 | + | 0.688541i | ||||
\(523\) | 7.17423 | − | 12.4261i | 0.313707 | − | 0.543357i | −0.665455 | − | 0.746438i | \(-0.731762\pi\) |
0.979162 | + | 0.203081i | \(0.0650956\pi\) | |||||||
\(524\) | 4.27526 | − | 7.40496i | 0.186765 | − | 0.323487i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −12.9495 | − | 22.4292i | −0.564625 | − | 0.977958i | ||||
\(527\) | 12.0000 | 0.522728 | ||||||||
\(528\) | −3.44949 | + | 0.317837i | −0.150120 | + | 0.0138321i | ||||
\(529\) | −22.0000 | −0.956522 | ||||||||
\(530\) | −7.89898 | + | 13.6814i | −0.343110 | + | 0.594284i | ||||
\(531\) | −5.89898 | + | 1.09638i | −0.255994 | + | 0.0475787i | ||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −24.0000 | + | 41.5692i | −1.03956 | + | 1.80056i | ||||
\(534\) | −12.2474 | + | 26.5843i | −0.529999 | + | 1.15042i | ||||
\(535\) | −8.69694 | + | 15.0635i | −0.376001 | + | 0.651254i | ||||
\(536\) | 6.44949 | − | 11.1708i | 0.278576 | − | 0.482507i | ||||
\(537\) | −35.6969 | + | 3.28913i | −1.54044 | + | 0.141936i | ||||
\(538\) | 9.17423 | − | 15.8902i | 0.395529 | − | 0.685077i | ||||
\(539\) | 0 | 0 | ||||||||
\(540\) | −1.84847 | + | 7.30142i | −0.0795455 | + | 0.314203i | ||||
\(541\) | 9.24745 | − | 16.0171i | 0.397579 | − | 0.688627i | −0.595848 | − | 0.803097i | \(-0.703184\pi\) |
0.993427 | + | 0.114471i | \(0.0365172\pi\) | |||||||
\(542\) | 7.10102 | 0.305015 | ||||||||
\(543\) | −7.50000 | + | 16.2795i | −0.321856 | + | 0.698621i | ||||
\(544\) | 2.00000 | 0.0857493 | ||||||||
\(545\) | 9.20204 | + | 15.9384i | 0.394172 | + | 0.682726i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.79796 | − | 6.57826i | 0.162389 | − | 0.281266i | −0.773336 | − | 0.633996i | \(-0.781413\pi\) |
0.935725 | + | 0.352730i | \(0.114747\pi\) | |||||||
\(548\) | −3.89898 | + | 6.75323i | −0.166556 | + | 0.288484i | ||||
\(549\) | −6.55051 | + | 18.5276i | −0.279569 | + | 0.790740i | ||||
\(550\) | 2.89898 | + | 5.02118i | 0.123613 | + | 0.214104i | ||||
\(551\) | 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 | ||||
\(555\) | −17.1010 | − | 24.1845i | −0.725898 | − | 1.02657i | ||||
\(556\) | 4.55051 | 0.192985 | ||||||||
\(557\) | 6.44949 | + | 11.1708i | 0.273274 | + | 0.473324i | 0.969698 | − | 0.244306i | \(-0.0785602\pi\) |
−0.696424 | + | 0.717630i | \(0.745227\pi\) | |||||||
\(558\) | −11.6969 | − | 13.6814i | −0.495171 | − | 0.579181i | ||||
\(559\) | 33.7980 | 1.42950 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6.89898 | + | 0.635674i | −0.291275 | + | 0.0268382i | ||||
\(562\) | −19.0000 | −0.801467 | ||||||||
\(563\) | 19.9722 | − | 34.5929i | 0.841728 | − | 1.45791i | −0.0467054 | − | 0.998909i | \(-0.514872\pi\) |
0.888433 | − | 0.459006i | \(-0.151794\pi\) | |||||||
\(564\) | 7.10102 | − | 15.4135i | 0.299007 | − | 0.649025i | ||||
\(565\) | −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 | \(0.616866\pi\) | |||||||
\(570\) | −2.67934 | + | 5.81577i | −0.112225 | + | 0.243596i | ||||
\(571\) | −16.8990 | + | 29.2699i | −0.707200 | + | 1.22491i | 0.258691 | + | 0.965960i | \(0.416709\pi\) |
−0.965892 | + | 0.258947i | \(0.916625\pi\) | |||||||
\(572\) | 9.79796 | 0.409673 | ||||||||
\(573\) | −7.07321 | + | 0.651729i | −0.295488 | + | 0.0272263i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 2.89898 | 0.120896 | ||||||||
\(576\) | −1.94949 | − | 2.28024i | −0.0812287 | − | 0.0950100i | ||||
\(577\) | 7.79796 | + | 13.5065i | 0.324633 | + | 0.562281i | 0.981438 | − | 0.191779i | \(-0.0614258\pi\) |
−0.656805 | + | 0.754061i | \(0.728092\pi\) | |||||||
\(578\) | −13.0000 | −0.540729 | ||||||||
\(579\) | −17.8990 | − | 25.3130i | −0.743856 | − | 1.05197i | ||||
\(580\) | −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 | ||||
\(584\) | 3.44949 | + | 5.97469i | 0.142741 | + | 0.247234i | ||||
\(585\) | 7.10102 | − | 20.0847i | 0.293591 | − | 0.830401i | ||||
\(586\) | −1.37628 | + | 2.38378i | −0.0568534 | + | 0.0984730i | ||||
\(587\) | −8.07321 | + | 13.9832i | −0.333217 | + | 0.577149i | −0.983141 | − | 0.182850i | \(-0.941468\pi\) |
0.649924 | + | 0.760000i | \(0.274801\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −7.65153 | − | 13.2528i | −0.315276 | − | 0.546074i | ||||
\(590\) | 2.89898 | 0.119349 | ||||||||
\(591\) | 12.1010 | − | 26.2665i | 0.497769 | − | 1.08046i | ||||
\(592\) | 11.7980 | 0.484893 | ||||||||
\(593\) | −7.34847 | + | 12.7279i | −0.301765 | + | 0.522673i | −0.976536 | − | 0.215355i | \(-0.930909\pi\) |
0.674770 | + | 0.738028i | \(0.264243\pi\) | |||||||
\(594\) | 7.44949 | + | 7.24604i | 0.305656 | + | 0.297309i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.00000 | − | 5.19615i | 0.122885 | − | 0.212843i | ||||
\(597\) | 5.00000 | − | 0.460702i | 0.204636 | − | 0.0188553i | ||||
\(598\) | 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 | \(-0.0759312\pi\) | |||||||
\(600\) | −2.10102 | + | 4.56048i | −0.0857738 | + | 0.186181i | ||||
\(601\) | −8.34847 | + | 14.4600i | −0.340541 | + | 0.589835i | −0.984533 | − | 0.175198i | \(-0.943944\pi\) |
0.643992 | + | 0.765032i | \(0.277277\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −38.0454 | + | 7.07107i | −1.54933 | + | 0.287956i | ||||
\(604\) | 2.50000 | − | 4.33013i | 0.101724 | − | 0.176190i | ||||
\(605\) | 10.1464 | 0.412511 | ||||||||
\(606\) | 29.7474 | − | 2.74094i | 1.20841 | − | 0.111343i | ||||
\(607\) | 20.6969 | 0.840063 | 0.420031 | − | 0.907510i | \(-0.362019\pi\) | ||||
0.420031 | + | 0.907510i | \(0.362019\pi\) | |||||||
\(608\) | −1.27526 | − | 2.20881i | −0.0517184 | − | 0.0895789i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 4.74745 | − | 8.22282i | 0.192219 | − | 0.332932i | ||||
\(611\) | −24.0000 | + | 41.5692i | −0.970936 | + | 1.68171i | ||||
\(612\) | −3.89898 | − | 4.56048i | −0.157607 | − | 0.184346i | ||||
\(613\) | 7.34847 | + | 12.7279i | 0.296802 | + | 0.514076i | 0.975402 | − | 0.220432i | \(-0.0707466\pi\) |
−0.678601 | + | 0.734508i | \(0.737413\pi\) | |||||||
\(614\) | −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 | 0.978333 | − | 0.207037i | \(-0.0663821\pi\) |
−0.668466 | + | 0.743743i | \(0.733049\pi\) | |||||||
\(618\) | −24.1464 | + | 2.22486i | −0.971312 | + | 0.0894970i | ||||
\(619\) | 30.1464 | 1.21169 | 0.605844 | − | 0.795584i | \(-0.292836\pi\) | ||||
0.605844 | + | 0.795584i | \(0.292836\pi\) | |||||||
\(620\) | 4.34847 | + | 7.53177i | 0.174639 | + | 0.302483i | ||||
\(621\) | 5.00000 | − | 1.41421i | 0.200643 | − | 0.0567504i | ||||
\(622\) | 30.6969 | 1.23084 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4.89898 | + | 6.92820i | 0.196116 | + | 0.277350i | ||||
\(625\) | −2.10102 | −0.0840408 | ||||||||
\(626\) | 2.34847 | − | 4.06767i | 0.0938637 | − | 0.162577i | ||||
\(627\) | 5.10102 | + | 7.21393i | 0.203715 | + | 0.288097i | ||||
\(628\) | 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 | ||||
\(633\) | −22.2474 | + | 2.04989i | −0.884257 | + | 0.0814757i | ||||
\(634\) | −10.3485 | + | 17.9241i | −0.410990 | + | 0.711856i | ||||
\(635\) | 4.34847 | 0.172564 | ||||||||
\(636\) | −7.89898 | + | 17.1455i | −0.313215 | + | 0.679865i | ||||
\(637\) | 0 | 0 | ||||||||
\(638\) | −13.7980 | −0.546266 | ||||||||
\(639\) | −0.196938 | − | 0.230351i | −0.00779076 | − | 0.00911254i | ||||
\(640\) | 0.724745 | + | 1.25529i | 0.0286481 | + | 0.0496199i | ||||
\(641\) | −7.49490 | −0.296031 | −0.148015 | − | 0.988985i | \(-0.547288\pi\) | ||||
−0.148015 | + | 0.988985i | \(0.547288\pi\) | |||||||
\(642\) | −8.69694 | + | 18.8776i | −0.343241 | + | 0.745039i | ||||
\(643\) | 19.6969 | + | 34.1161i | 0.776771 | + | 1.34541i | 0.933793 | + | 0.357812i | \(0.116477\pi\) |
−0.157022 | + | 0.987595i | \(0.550189\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −10.0000 | − | 14.1421i | −0.393750 | − | 0.556846i | ||||
\(646\) | −2.55051 | − | 4.41761i | −0.100348 | − | 0.173809i | ||||
\(647\) | 25.3485 | + | 43.9048i | 0.996551 | + | 1.72608i | 0.570139 | + | 0.821548i | \(0.306889\pi\) |
0.426412 | + | 0.904529i | \(0.359777\pi\) | |||||||
\(648\) | −1.39898 | + | 8.89060i | −0.0549571 | + | 0.349256i | ||||
\(649\) | 2.00000 | − | 3.46410i | 0.0785069 | − | 0.135978i | ||||
\(650\) | 7.10102 | − | 12.2993i | 0.278525 | − | 0.482419i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 9.89898 | + | 17.1455i | 0.387674 | + | 0.671471i | ||||
\(653\) | 9.79796 | 0.383424 | 0.191712 | − | 0.981451i | \(-0.438596\pi\) | ||||
0.191712 | + | 0.981451i | \(0.438596\pi\) | |||||||
\(654\) | 12.6969 | + | 17.9562i | 0.496490 | + | 0.702142i | ||||
\(655\) | 12.3939 | 0.484269 | ||||||||
\(656\) | −4.89898 | + | 8.48528i | −0.191273 | + | 0.331295i | ||||
\(657\) | 6.89898 | − | 19.5133i | 0.269155 | − | 0.761285i | ||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 12.3485 | − | 21.3882i | 0.481028 | − | 0.833165i | −0.518735 | − | 0.854935i | \(-0.673597\pi\) |
0.999763 | + | 0.0217701i | \(0.00693018\pi\) | |||||||
\(660\) | −2.89898 | − | 4.09978i | −0.112843 | − | 0.159584i | ||||
\(661\) | −2.27526 | + | 3.94086i | −0.0884972 | + | 0.153282i | −0.906876 | − | 0.421397i | \(-0.861540\pi\) |
0.818379 | + | 0.574679i | \(0.194873\pi\) | |||||||
\(662\) | −2.34847 | + | 4.06767i | −0.0912758 | + | 0.158094i | ||||
\(663\) | 9.79796 | + | 13.8564i | 0.380521 | + | 0.538138i | ||||
\(664\) | −1.00000 | + | 1.73205i | −0.0388075 | + | 0.0672166i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −23.0000 | − | 26.9022i | −0.891232 | − | 1.04244i | ||||
\(667\) | −3.44949 | + | 5.97469i | −0.133565 | + | 0.231341i | ||||
\(668\) | −10.6969 | −0.413877 | ||||||||
\(669\) | −11.1010 | − | 15.6992i | −0.429190 | − | 0.606967i | ||||
\(670\) | 18.6969 | 0.722326 | ||||||||
\(671\) | −6.55051 | − | 11.3458i | −0.252880 | − | 0.438000i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.29796 | − | 7.44428i | 0.165674 | − | 0.286956i | −0.771220 | − | 0.636568i | \(-0.780353\pi\) |
0.936894 | + | 0.349612i | \(0.113687\pi\) | |||||||
\(674\) | 11.6969 | − | 20.2597i | 0.450549 | − | 0.780374i | ||||
\(675\) | 14.4949 | − | 4.09978i | 0.557909 | − | 0.157800i | ||||
\(676\) | −5.50000 | − | 9.52628i | −0.211538 | − | 0.366395i | ||||
\(677\) | −7.34847 | − | 12.7279i | −0.282425 | − | 0.489174i | 0.689557 | − | 0.724232i | \(-0.257805\pi\) |
−0.971981 | + | 0.235058i | \(0.924472\pi\) | |||||||
\(678\) | −6.10102 | − | 8.62815i | −0.234308 | − | 0.331362i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 1.44949 | + | 2.51059i | 0.0555854 | + | 0.0962767i | ||||
\(681\) | −3.94949 | + | 8.57277i | −0.151345 | + | 0.328509i | ||||
\(682\) | 12.0000 | 0.459504 | ||||||||
\(683\) | −25.8990 | − | 44.8583i | −0.990997 | − | 1.71646i | −0.611446 | − | 0.791286i | \(-0.709412\pi\) |
−0.379551 | − | 0.925171i | \(-0.623921\pi\) | |||||||
\(684\) | −2.55051 | + | 7.21393i | −0.0975212 | + | 0.275832i | ||||
\(685\) | −11.3031 | −0.431868 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0.904082 | − | 1.96240i | 0.0344929 | − | 0.0748703i | ||||
\(688\) | 6.89898 | 0.263021 | ||||||||
\(689\) | 26.6969 | − | 46.2405i | 1.01707 | − | 1.76162i | ||||
\(690\) | −2.50000 | + | 0.230351i | −0.0951734 | + | 0.00876931i | ||||
\(691\) | −25.5227 | − | 44.2066i | −0.970929 | − | 1.68170i | −0.692762 | − | 0.721167i | \(-0.743606\pi\) |
−0.278168 | − | 0.960533i | \(-0.589727\pi\) | |||||||
\(692\) | −3.10102 | −0.117883 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.5959 | 0.743851 | ||||||||
\(695\) | 3.29796 | + | 5.71223i | 0.125099 | + | 0.216677i | ||||
\(696\) | −6.89898 | − | 9.75663i | −0.261505 | − | 0.369824i | ||||
\(697\) | −9.79796 | + | 16.9706i | −0.371124 | + | 0.642806i | ||||
\(698\) | 11.1010 | 0.420180 | ||||||||
\(699\) | −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 | \(0.544592\pi\) | |||||||
\(702\) | 6.24745 | − | 24.6773i | 0.235795 | − | 0.931385i | ||||
\(703\) | −15.0454 | − | 26.0594i | −0.567448 | − | 0.982849i | ||||
\(704\) | 2.00000 | 0.0753778 | ||||||||
\(705\) | 24.4949 | − | 2.25697i | 0.922531 | − | 0.0850024i | ||||
\(706\) | 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 | \(-0.340062\pi\) | |||||||
\(710\) | 0.0732141 | + | 0.126811i | 0.00274768 | + | 0.00475911i | ||||
\(711\) | 1.89898 | − | 5.37113i | 0.0712173 | − | 0.201433i | ||||
\(712\) | 8.44949 | − | 14.6349i | 0.316658 | − | 0.548468i | ||||
\(713\) | 3.00000 | − | 5.19615i | 0.112351 | − | 0.194597i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.10102 | + | 12.2993i | 0.265563 | + | 0.459969i | ||||
\(716\) | 20.6969 | 0.773481 | ||||||||
\(717\) | −11.7247 | + | 1.08032i | −0.437869 | + | 0.0403454i | ||||
\(718\) | −8.79796 | −0.328337 | ||||||||
\(719\) | −4.89898 | + | 8.48528i | −0.182701 | + | 0.316448i | −0.942799 | − | 0.333360i | \(-0.891817\pi\) |
0.760098 | + | 0.649808i | \(0.225151\pi\) | |||||||
\(720\) | 1.44949 | − | 4.09978i | 0.0540193 | − | 0.152790i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 6.24745 | − | 10.8209i | 0.232506 | − | 0.402712i | ||||
\(723\) | 0.651531 | − | 1.41421i | 0.0242307 | − | 0.0525952i | ||||
\(724\) | 5.17423 | − | 8.96204i | 0.192299 | − | 0.333071i | ||||
\(725\) | −10.0000 | + | 17.3205i | −0.371391 | + | 0.643268i | ||||
\(726\) | 12.0732 | − | 1.11243i | 0.448079 | − | 0.0412862i | ||||
\(727\) | 4.24745 | − | 7.35680i | 0.157529 | − | 0.272848i | −0.776448 | − | 0.630181i | \(-0.782981\pi\) |
0.933977 | + | 0.357333i | \(0.116314\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 23.0000 | − | 14.1421i | 0.851852 | − | 0.523783i | ||||
\(730\) | −5.00000 | + | 8.66025i | −0.185058 | + | 0.320530i | ||||
\(731\) | 13.7980 | 0.510336 | ||||||||
\(732\) | 4.74745 | − | 10.3048i | 0.175471 | − | 0.380877i | ||||
\(733\) | −17.4495 | −0.644512 | −0.322256 | − | 0.946653i | \(-0.604441\pi\) | ||||
−0.322256 | + | 0.946653i | \(0.604441\pi\) | |||||||
\(734\) | 6.89898 | + | 11.9494i | 0.254646 | + | 0.441060i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.500000 | − | 0.866025i | 0.0184302 | − | 0.0319221i | ||||
\(737\) | 12.8990 | − | 22.3417i | 0.475140 | − | 0.822967i | ||||
\(738\) | 28.8990 | − | 5.37113i | 1.06379 | − | 0.197714i | ||||
\(739\) | −6.79796 | − | 11.7744i | −0.250067 | − | 0.433129i | 0.713477 | − | 0.700679i | \(-0.247119\pi\) |
−0.963544 | + | 0.267550i | \(0.913786\pi\) | |||||||
\(740\) | 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 | −0.980522 | − | 0.196409i | \(-0.937072\pi\) |
0.320166 | − | 0.947361i | \(-0.396261\pi\) | |||||||
\(744\) | 6.00000 | + | 8.48528i | 0.219971 | + | 0.311086i | ||||
\(745\) | 8.69694 | 0.318631 | ||||||||
\(746\) | 3.44949 | + | 5.97469i | 0.126295 | + | 0.218749i | ||||
\(747\) | 5.89898 | − | 1.09638i | 0.215832 | − | 0.0401143i | ||||
\(748\) | 4.00000 | 0.146254 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −19.7474 | + | 1.81954i | −0.721075 | + | 0.0664401i | ||||
\(751\) | 1.40408 | 0.0512357 | 0.0256178 | − | 0.999672i | \(-0.491845\pi\) | ||||
0.0256178 | + | 0.999672i | \(0.491845\pi\) | |||||||
\(752\) | −4.89898 | + | 8.48528i | −0.178647 | + | 0.309426i | ||||
\(753\) | 12.6464 | − | 27.4504i | 0.460861 | − | 1.00035i | ||||
\(754\) | 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 | ||||
\(759\) | −1.44949 | + | 3.14626i | −0.0526131 | + | 0.114202i | ||||
\(760\) | 1.84847 | − | 3.20164i | 0.0670510 | − | 0.116136i | ||||
\(761\) | 2.00000 | 0.0724999 | 0.0362500 | − | 0.999343i | \(-0.488459\pi\) | ||||
0.0362500 | + | 0.999343i | \(0.488459\pi\) | |||||||
\(762\) | 5.17423 | − | 0.476756i | 0.187443 | − | 0.0172710i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 4.10102 | 0.148370 | ||||||||
\(765\) | 2.89898 | − | 8.19955i | 0.104813 | − | 0.296455i | ||||
\(766\) | 1.44949 | + | 2.51059i | 0.0523722 | + | 0.0907113i | ||||
\(767\) | −9.79796 | −0.353784 | ||||||||
\(768\) | 1.00000 | + | 1.41421i | 0.0360844 | + | 0.0510310i | ||||
\(769\) | 17.0454 | + | 29.5235i | 0.614673 | + | 1.06465i | 0.990442 | + | 0.137932i | \(0.0440454\pi\) |
−0.375769 | + | 0.926714i | \(0.622621\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 5.94439 | − | 12.9029i | 0.214082 | − | 0.464686i | ||||
\(772\) | 8.94949 | + | 15.5010i | 0.322099 | + | 0.557892i | ||||
\(773\) | −16.9722 | − | 29.3967i | −0.610447 | − | 1.05733i | −0.991165 | − | 0.132635i | \(-0.957656\pi\) |
0.380718 | − | 0.924691i | \(-0.375677\pi\) | |||||||
\(774\) | −13.4495 | − | 15.7313i | −0.483432 | − | 0.565451i | ||||
\(775\) | 8.69694 | − | 15.0635i | 0.312403 | − | 0.541098i | ||||
\(776\) | −1.44949 | + | 2.51059i | −0.0520336 | + | 0.0901249i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 12.4495 | + | 21.5631i | 0.446336 | + | 0.773076i | ||||
\(779\) | 24.9898 | 0.895352 | ||||||||
\(780\) | −5.14643 | + | 11.1708i | −0.184272 | + | 0.399980i | ||||
\(781\) | 0.202041 | 0.00722960 | ||||||||
\(782\) | 1.00000 | − | 1.73205i | 0.0357599 | − | 0.0619380i | ||||
\(783\) | −8.79796 | + | 34.7518i | −0.314413 | + | 1.24193i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −6.05051 | + | 10.4798i | −0.215952 | + | 0.374040i | ||||
\(786\) | 14.7474 | − | 1.35884i | 0.526024 | − | 0.0484681i | ||||
\(787\) | 5.69694 | − | 9.86739i | 0.203074 | − | 0.351734i | −0.746443 | − | 0.665449i | \(-0.768240\pi\) |
0.949517 | + | 0.313715i | \(0.101573\pi\) | |||||||
\(788\) | −8.34847 | + | 14.4600i | −0.297402 | + | 0.515115i | ||||
\(789\) | 18.7702 | − | 40.7425i | 0.668235 | − | 1.45047i | ||||
\(790\) | −1.37628 | + | 2.38378i | −0.0489657 | + | 0.0848111i | ||||
\(791\) | 0 | 0 | ||||||||
\(792\) | −3.89898 | − | 4.56048i | −0.138544 | − | 0.162050i | ||||
\(793\) | −16.0454 | + | 27.7915i | −0.569789 | + | 0.986904i | ||||
\(794\) | 38.6969 | 1.37330 | ||||||||
\(795\) | −27.2474 | + | 2.51059i | −0.966367 | + | 0.0890414i | ||||
\(796\) | −2.89898 | −0.102752 | ||||||||
\(797\) | 8.97219 | + | 15.5403i | 0.317811 | + | 0.550465i | 0.980031 | − | 0.198844i | \(-0.0637188\pi\) |
−0.662220 | + | 0.749310i | \(0.730385\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −9.79796 | + | 16.9706i | −0.346627 | + | 0.600375i | ||||
\(800\) | 1.44949 | − | 2.51059i | 0.0512472 | − | 0.0887628i | ||||
\(801\) | −49.8434 | + | 9.26382i | −1.76113 | + | 0.327321i | ||||
\(802\) | 9.94949 | + | 17.2330i | 0.351329 | + | 0.608519i | ||||
\(803\) | 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 | ||||
\(807\) | 31.6464 | − | 2.91591i | 1.11401 | − | 0.102645i | ||||
\(808\) | −17.2474 | −0.606763 | ||||||||
\(809\) | 8.10102 | + | 14.0314i | 0.284817 | + | 0.493317i | 0.972565 | − | 0.232632i | \(-0.0747339\pi\) |
−0.687748 | + | 0.725950i | \(0.741401\pi\) | |||||||
\(810\) | −12.1742 | + | 4.68729i | −0.427759 | + | 0.164695i | ||||
\(811\) | −2.00000 | −0.0702295 | −0.0351147 | − | 0.999383i | \(-0.511180\pi\) | ||||
−0.0351147 | + | 0.999383i | \(0.511180\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 7.10102 | + | 10.0424i | 0.249044 | + | 0.352201i | ||||
\(814\) | 23.5959 | 0.827036 | ||||||||
\(815\) | −14.3485 | + | 24.8523i | −0.502605 | + | 0.870537i | ||||
\(816\) | 2.00000 | + | 2.82843i | 0.0700140 | + | 0.0990148i | ||||
\(817\) | −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 | \(0.835578\pi\) | |||||||
\(822\) | −13.4495 | + | 1.23924i | −0.469105 | + | 0.0432235i | ||||
\(823\) | 6.69694 | − | 11.5994i | 0.233441 | − | 0.404331i | −0.725378 | − | 0.688351i | \(-0.758335\pi\) |
0.958818 | + | 0.284020i | \(0.0916682\pi\) | |||||||
\(824\) | 14.0000 | 0.487713 | ||||||||
\(825\) | −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 | \(0.718805\pi\) | |||||||
\(828\) | −2.94949 | + | 0.548188i | −0.102502 | + | 0.0190509i | ||||
\(829\) | −0.651531 | − | 1.12848i | −0.0226286 | − | 0.0391939i | 0.854489 | − | 0.519469i | \(-0.173870\pi\) |
−0.877118 | + | 0.480275i | \(0.840537\pi\) | |||||||
\(830\) | −2.89898 | −0.100625 | ||||||||
\(831\) | −13.5505 | + | 29.4128i | −0.470062 | + | 1.02032i | ||||
\(832\) | −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 | ||||
\(836\) | −2.55051 | − | 4.41761i | −0.0882112 | − | 0.152786i | ||||
\(837\) | 7.65153 | − | 30.2234i | 0.264476 | − | 1.04467i | ||||
\(838\) | −14.7247 | + | 25.5040i | −0.508658 | + | 0.881021i | ||||
\(839\) | 17.5505 | − | 30.3984i | 0.605911 | − | 1.04947i | −0.385996 | − | 0.922500i | \(-0.626142\pi\) |
0.991907 | − | 0.126968i | \(-0.0405245\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −9.29796 | − | 16.1045i | −0.320619 | − | 0.555329i | ||||
\(842\) | 22.8990 | 0.789151 | ||||||||
\(843\) | −19.0000 | − | 26.8701i | −0.654395 | − | 0.925454i | ||||
\(844\) | 12.8990 | 0.444001 | ||||||||
\(845\) | 7.97219 | − | 13.8082i | 0.274252 | − | 0.475018i | ||||
\(846\) | 28.8990 | − | 5.37113i | 0.993567 | − | 0.184663i | ||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 5.44949 | − | 9.43879i | 0.187136 | − | 0.324129i | ||||
\(849\) | −25.4495 | − | 35.9910i | −0.873424 | − | 1.23521i | ||||
\(850\) | 2.89898 | − | 5.02118i | 0.0994342 | − | 0.172225i | ||||
\(851\) | 5.89898 | − | 10.2173i | 0.202214 | − | 0.350246i | ||||
\(852\) | 0.101021 | + | 0.142865i | 0.00346091 | + | 0.00489446i | ||||
\(853\) | −12.4217 | + | 21.5150i | −0.425310 | + | 0.736659i | −0.996449 | − | 0.0841942i | \(-0.973168\pi\) |
0.571139 | + | 0.820853i | \(0.306502\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −10.9041 | + | 2.02662i | −0.372912 | + | 0.0693089i | ||||
\(856\) | 6.00000 | − | 10.3923i | 0.205076 | − | 0.355202i | ||||
\(857\) | −34.8990 | −1.19213 | −0.596063 | − | 0.802938i | \(-0.703269\pi\) | ||||
−0.596063 | + | 0.802938i | \(0.703269\pi\) | |||||||
\(858\) | 9.79796 | + | 13.8564i | 0.334497 | + | 0.473050i | ||||
\(859\) | −10.0000 | −0.341196 | −0.170598 | − | 0.985341i | \(-0.554570\pi\) | ||||
−0.170598 | + | 0.985341i | \(0.554570\pi\) | |||||||
\(860\) | 5.00000 | + | 8.66025i | 0.170499 | + | 0.295312i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −15.7980 | + | 27.3629i | −0.538081 | + | 0.931983i | ||||
\(863\) | −5.94949 | + | 10.3048i | −0.202523 | + | 0.350780i | −0.949341 | − | 0.314249i | \(-0.898247\pi\) |
0.746818 | + | 0.665029i | \(0.231581\pi\) | |||||||
\(864\) | 1.27526 | − | 5.03723i | 0.0433851 | − | 0.171370i | ||||
\(865\) | −2.24745 | − | 3.89270i | −0.0764155 | − | 0.132356i | ||||
\(866\) | 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 | ||||
\(870\) | 7.24745 | − | 15.7313i | 0.245712 | − | 0.533342i | ||||
\(871\) | −63.1918 | −2.14117 | ||||||||
\(872\) | −6.34847 | − | 10.9959i | −0.214986 | − | 0.372367i | ||||
\(873\) | 8.55051 | − | 1.58919i | 0.289391 | − | 0.0537858i | ||||
\(874\) | −2.55051 | −0.0862723 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −5.00000 | + | 10.8530i | −0.168934 | + | 0.366689i | ||||
\(877\) | 22.4949 | 0.759599 | 0.379799 | − | 0.925069i | \(-0.375993\pi\) | ||||
0.379799 | + | 0.925069i | \(0.375993\pi\) | |||||||
\(878\) | −1.10102 | + | 1.90702i | −0.0371576 | + | 0.0643589i | ||||
\(879\) | −4.74745 | + | 0.437432i | −0.160127 | + | 0.0147542i | ||||
\(880\) | 1.44949 | + | 2.51059i | 0.0488623 | + | 0.0846320i | ||||
\(881\) | 19.5959 | 0.660203 | 0.330102 | − | 0.943945i | \(-0.392917\pi\) | ||||
0.330102 | + | 0.943945i | \(0.392917\pi\) | |||||||
\(882\) | 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 | ||||
\(885\) | 2.89898 | + | 4.09978i | 0.0974481 | + | 0.137812i | ||||
\(886\) | 7.44949 | − | 12.9029i | 0.250271 | − | 0.433481i | ||||
\(887\) | −14.2020 | −0.476858 | −0.238429 | − | 0.971160i | \(-0.576632\pi\) | ||||
−0.238429 | + | 0.971160i | \(0.576632\pi\) | |||||||
\(888\) | 11.7980 | + | 16.6848i | 0.395914 | + | 0.559906i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 24.4949 | 0.821071 | ||||||||
\(891\) | −2.79796 | + | 17.7812i | −0.0937352 | + | 0.595693i | ||||
\(892\) | 5.55051 | + | 9.61377i | 0.185845 | + | 0.321893i | ||||
\(893\) | 24.9898 | 0.836252 | ||||||||
\(894\) | 10.3485 | − | 0.953512i | 0.346105 | − | 0.0318902i | ||||
\(895\) | 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 | ||||
\(899\) | 20.6969 | + | 35.8481i | 0.690282 | + | 1.19560i | ||||
\(900\) | −8.55051 | + | 1.58919i | −0.285017 | + | 0.0529729i | ||||
\(901\) | 10.8990 | − | 18.8776i | 0.363098 | − | 0.628904i | ||||
\(902\) | −9.79796 | + | 16.9706i | −0.326236 | + | 0.565058i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 3.05051 | + | 5.28364i | 0.101458 | + | 0.175731i | ||||
\(905\) | 15.0000 | 0.498617 | ||||||||
\(906\) | 8.62372 | − | 0.794593i | 0.286504 | − | 0.0263986i | ||||
\(907\) | 2.69694 | 0.0895504 | 0.0447752 | − | 0.998997i | \(-0.485743\pi\) | ||||
0.0447752 | + | 0.998997i | \(0.485743\pi\) | |||||||
\(908\) | 2.72474 | − | 4.71940i | 0.0904238 | − | 0.156619i | ||||
\(909\) | 33.6237 | + | 39.3283i | 1.11523 | + | 1.30444i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −25.9949 | + | 45.0245i | −0.861249 | + | 1.49173i | 0.00947432 | + | 0.999955i | \(0.496984\pi\) |
−0.870724 | + | 0.491773i | \(0.836349\pi\) | |||||||
\(912\) | 1.84847 | − | 4.01229i | 0.0612089 | − | 0.132860i | ||||
\(913\) | −2.00000 | + | 3.46410i | −0.0661903 | + | 0.114645i | ||||
\(914\) | 8.74745 | − | 15.1510i | 0.289340 | − | 0.501151i | ||||
\(915\) | 16.3763 | − | 1.50892i | 0.541383 | − | 0.0498832i | ||||
\(916\) | −0.623724 | + | 1.08032i | −0.0206084 | + | 0.0356949i | ||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 2.55051 | − | 10.0745i | 0.0841794 | − | 0.332507i | ||||
\(919\) | 12.8485 | − | 22.2542i | 0.423832 | − | 0.734098i | −0.572479 | − | 0.819920i | \(-0.694018\pi\) |
0.996311 | + | 0.0858213i | \(0.0273514\pi\) | |||||||
\(920\) | 1.44949 | 0.0477883 | ||||||||
\(921\) | 18.2980 | − | 39.7176i | 0.602938 | − | 1.30874i | ||||
\(922\) | 5.65153 | 0.186123 | ||||||||
\(923\) | −0.247449 | − | 0.428594i | −0.00814487 | − | 0.0141073i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 17.1010 | − | 29.6198i | 0.562278 | − | 0.973894i | ||||
\(926\) | −1.84847 | + | 3.20164i | −0.0607445 | + | 0.105213i | ||||
\(927\) | −27.2929 | − | 31.9233i | −0.896415 | − | 1.04850i | ||||
\(928\) | 3.44949 | + | 5.97469i | 0.113235 | + | 0.196129i | ||||
\(929\) | −17.1464 | − | 29.6985i | −0.562556 | − | 0.974376i | −0.997272 | − | 0.0738083i | \(-0.976485\pi\) |
0.434716 | − | 0.900567i | \(-0.356849\pi\) | |||||||
\(930\) | −6.30306 | + | 13.6814i | −0.206686 | + | 0.448632i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.50000 | + | 6.06218i | 0.114646 | + | 0.198573i | ||||
\(933\) | 30.6969 | + | 43.4120i | 1.00497 | + | 1.42125i | ||||
\(934\) | 10.0000 | 0.327210 | ||||||||
\(935\) | 2.89898 | + | 5.02118i | 0.0948068 | + | 0.164210i | ||||
\(936\) | −4.89898 | + | 13.8564i | −0.160128 | + | 0.452911i | ||||
\(937\) | 45.5959 | 1.48955 | 0.744777 | − | 0.667314i | \(-0.232556\pi\) | ||||
0.744777 | + | 0.667314i | \(0.232556\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 8.10102 | − | 0.746431i | 0.264367 | − | 0.0243589i | ||||
\(940\) | −14.2020 | −0.463220 | ||||||||
\(941\) | 0.724745 | − | 1.25529i | 0.0236260 | − | 0.0409214i | −0.853971 | − | 0.520321i | \(-0.825812\pi\) |
0.877597 | + | 0.479400i | \(0.159146\pi\) | |||||||
\(942\) | −6.05051 | + | 13.1332i | −0.197136 | + | 0.427904i | ||||
\(943\) | 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 | \(-0.491842\pi\) | |||||||
\(948\) | −1.37628 | + | 2.98735i | −0.0446994 | + | 0.0970245i | ||||
\(949\) | 16.8990 | − | 29.2699i | 0.548564 | − | 0.950141i | ||||
\(950\) | −7.39388 | −0.239889 | ||||||||
\(951\) | −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 | \(0.517506\pi\) | |||||||
\(954\) | −32.1464 | + | 5.97469i | −1.04078 | + | 0.193438i | ||||
\(955\) | 2.97219 | + | 5.14799i | 0.0961779 | + | 0.166585i | ||||
\(956\) | 6.79796 | 0.219862 | ||||||||
\(957\) | −13.7980 | − | 19.5133i | −0.446025 | − | 0.630774i | ||||
\(958\) | −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 | ||||
\(962\) | −28.8990 | − | 50.0545i | −0.931740 | − | 1.61382i | ||||
\(963\) | −35.3939 | + | 6.57826i | −1.14055 | + | 0.211981i | ||||
\(964\) | −0.449490 | + | 0.778539i | −0.0144771 | + | 0.0250751i | ||||
\(965\) | −12.9722 | + | 22.4685i | −0.417590 | + | 0.723287i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −12.2980 | − | 21.3007i | −0.395476 | − | 0.684984i | 0.597686 | − | 0.801730i | \(-0.296087\pi\) |
−0.993162 | + | 0.116746i | \(0.962754\pi\) | |||||||
\(968\) | −7.00000 | −0.224989 | ||||||||
\(969\) | 3.69694 | − | 8.02458i | 0.118763 | − | 0.257787i | ||||
\(970\) | −4.20204 | −0.134919 | ||||||||
\(971\) | 0.0278064 | − | 0.0481621i | 0.000892350 | − | 0.00154560i | −0.865579 | − | 0.500773i | \(-0.833049\pi\) |
0.866471 | + | 0.499227i | \(0.166383\pi\) | |||||||
\(972\) | −13.9722 | + | 6.91215i | −0.448158 | + | 0.221707i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 18.1969 | − | 31.5180i | 0.583068 | − | 1.00990i | ||||
\(975\) | 24.4949 | − | 2.25697i | 0.784465 | − | 0.0722808i | ||||
\(976\) | −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 | \(-0.0387235\pi\) | |||||||
\(978\) | −14.3485 | + | 31.1448i | −0.458813 | + | 0.995901i | ||||
\(979\) | 16.8990 | − | 29.2699i | 0.540094 | − | 0.935470i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −12.6969 | + | 35.9124i | −0.405382 | + | 1.14659i | ||||
\(982\) | −7.89898 | + | 13.6814i | −0.252067 | + | 0.436592i | ||||
\(983\) | −33.1918 | −1.05866 | −0.529328 | − | 0.848418i | \(-0.677556\pi\) | ||||
−0.529328 | + | 0.848418i | \(0.677556\pi\) | |||||||
\(984\) | −16.8990 | + | 1.55708i | −0.538720 | + | 0.0496378i | ||||
\(985\) | −24.2020 | −0.771141 | ||||||||
\(986\) | 6.89898 | + | 11.9494i | 0.219708 | + | 0.380546i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −6.24745 | + | 10.8209i | −0.198758 | + | 0.344259i | ||||
\(989\) | 3.44949 | − | 5.97469i | 0.109687 | − | 0.189984i | ||||
\(990\) | 2.89898 | − | 8.19955i | 0.0921356 | − | 0.260599i | ||||
\(991\) | 0.898979 | + | 1.55708i | 0.0285570 | + | 0.0494622i | 0.879951 | − | 0.475065i | \(-0.157575\pi\) |
−0.851394 | + | 0.524527i | \(0.824242\pi\) | |||||||
\(992\) | −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 | ||||
\(996\) | −3.44949 | + | 0.317837i | −0.109301 | + | 0.0100711i | ||||
\(997\) | 52.1464 | 1.65149 | 0.825747 | − | 0.564041i | \(-0.190754\pi\) | ||||
0.825747 | + | 0.564041i | \(0.190754\pi\) | |||||||
\(998\) | 12.6969 | + | 21.9917i | 0.401915 | + | 0.696136i | ||||
\(999\) | 15.0454 | − | 59.4291i | 0.476016 | − | 1.88025i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))