Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(373,882)]
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, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.373");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.e (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: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 126) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.2 | ||
Root | \(1.22474 + 0.707107i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 882.373 |
Dual form | 882.2.e.n.655.2 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00000 | 0.707107 | ||||||||
\(3\) | 1.72474 | + | 0.158919i | 0.995782 | + | 0.0917517i | ||||
\(4\) | 1.00000 | 0.500000 | ||||||||
\(5\) | −0.724745 | − | 1.25529i | −0.324116 | − | 0.561385i | 0.657217 | − | 0.753701i | \(-0.271733\pi\) |
−0.981333 | + | 0.192316i | \(0.938400\pi\) | |||||||
\(6\) | 1.72474 | + | 0.158919i | 0.704124 | + | 0.0648783i | ||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 1.00000 | 0.353553 | ||||||||
\(9\) | 2.94949 | + | 0.548188i | 0.983163 | + | 0.182729i | ||||
\(10\) | −0.724745 | − | 1.25529i | −0.229184 | − | 0.396959i | ||||
\(11\) | −1.00000 | + | 1.73205i | −0.301511 | + | 0.522233i | −0.976478 | − | 0.215615i | \(-0.930824\pi\) |
0.674967 | + | 0.737848i | \(0.264158\pi\) | |||||||
\(12\) | 1.72474 | + | 0.158919i | 0.497891 | + | 0.0458759i | ||||
\(13\) | 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 | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 1.00000 | + | 1.73205i | 0.242536 | + | 0.420084i | 0.961436 | − | 0.275029i | \(-0.0886875\pi\) |
−0.718900 | + | 0.695113i | \(0.755354\pi\) | |||||||
\(18\) | 2.94949 | + | 0.548188i | 0.695201 | + | 0.129209i | ||||
\(19\) | 1.27526 | − | 2.20881i | 0.292564 | − | 0.506735i | −0.681852 | − | 0.731491i | \(-0.738825\pi\) |
0.974415 | + | 0.224756i | \(0.0721584\pi\) | |||||||
\(20\) | −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 | 0.913434 | − | 0.406986i | \(-0.133420\pi\) |
−0.809177 | + | 0.587565i | \(0.800087\pi\) | |||||||
\(24\) | 1.72474 | + | 0.158919i | 0.352062 | + | 0.0324391i | ||||
\(25\) | 1.44949 | − | 2.51059i | 0.289898 | − | 0.502118i | ||||
\(26\) | 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 | 0.985309 | + | 0.170780i | \(0.0546286\pi\) |
−0.344755 | + | 0.938693i | \(0.612038\pi\) | |||||||
\(30\) | −1.05051 | − | 2.28024i | −0.191796 | − | 0.416313i | ||||
\(31\) | −6.00000 | −1.07763 | −0.538816 | − | 0.842424i | \(-0.681128\pi\) | ||||
−0.538816 | + | 0.842424i | \(0.681128\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | −2.00000 | + | 2.82843i | −0.348155 | + | 0.492366i | ||||
\(34\) | 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 | \(0.745112\pi\) | |||||||
\(38\) | 1.27526 | − | 2.20881i | 0.206874 | − | 0.358316i | ||||
\(39\) | 4.89898 | − | 6.92820i | 0.784465 | − | 1.10940i | ||||
\(40\) | −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 | \(-0.342991\pi\) | |||||||
\(44\) | −1.00000 | + | 1.73205i | −0.150756 | + | 0.261116i | ||||
\(45\) | −1.44949 | − | 4.09978i | −0.216077 | − | 0.611159i | ||||
\(46\) | 0.500000 | + | 0.866025i | 0.0737210 | + | 0.127688i | ||||
\(47\) | −9.79796 | −1.42918 | −0.714590 | − | 0.699544i | \(-0.753387\pi\) | ||||
−0.714590 | + | 0.699544i | \(0.753387\pi\) | |||||||
\(48\) | 1.72474 | + | 0.158919i | 0.248945 | + | 0.0229379i | ||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 1.44949 | − | 2.51059i | 0.204989 | − | 0.355051i | ||||
\(51\) | 1.44949 | + | 3.14626i | 0.202969 | + | 0.440565i | ||||
\(52\) | 2.44949 | − | 4.24264i | 0.339683 | − | 0.588348i | ||||
\(53\) | 5.44949 | + | 9.43879i | 0.748545 | + | 1.29652i | 0.948520 | + | 0.316717i | \(0.102581\pi\) |
−0.199975 | + | 0.979801i | \(0.564086\pi\) | |||||||
\(54\) | 5.00000 | + | 1.41421i | 0.680414 | + | 0.192450i | ||||
\(55\) | 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 | ||||
\(59\) | 2.00000 | 0.260378 | 0.130189 | − | 0.991489i | \(-0.458442\pi\) | ||||
0.130189 | + | 0.991489i | \(0.458442\pi\) | |||||||
\(60\) | −1.05051 | − | 2.28024i | −0.135620 | − | 0.294378i | ||||
\(61\) | −6.55051 | −0.838707 | −0.419353 | − | 0.907823i | \(-0.637743\pi\) | ||||
−0.419353 | + | 0.907823i | \(0.637743\pi\) | |||||||
\(62\) | −6.00000 | −0.762001 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.00000 | 0.125000 | ||||||||
\(65\) | −7.10102 | −0.880773 | ||||||||
\(66\) | −2.00000 | + | 2.82843i | −0.246183 | + | 0.348155i | ||||
\(67\) | −12.8990 | −1.57586 | −0.787931 | − | 0.615764i | \(-0.788847\pi\) | ||||
−0.787931 | + | 0.615764i | \(0.788847\pi\) | |||||||
\(68\) | 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 | \(0.498092\pi\) | |||||||
\(72\) | 2.94949 | + | 0.548188i | 0.347601 | + | 0.0646046i | ||||
\(73\) | −3.44949 | − | 5.97469i | −0.403732 | − | 0.699285i | 0.590441 | − | 0.807081i | \(-0.298954\pi\) |
−0.994173 | + | 0.107796i | \(0.965621\pi\) | |||||||
\(74\) | −5.89898 | + | 10.2173i | −0.685742 | + | 1.18774i | ||||
\(75\) | 2.89898 | − | 4.09978i | 0.334745 | − | 0.473401i | ||||
\(76\) | 1.27526 | − | 2.20881i | 0.146282 | − | 0.253368i | ||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 4.89898 | − | 6.92820i | 0.554700 | − | 0.784465i | ||||
\(79\) | −1.89898 | −0.213652 | −0.106826 | − | 0.994278i | \(-0.534069\pi\) | ||||
−0.106826 | + | 0.994278i | \(0.534069\pi\) | |||||||
\(80\) | −0.724745 | − | 1.25529i | −0.0810289 | − | 0.140346i | ||||
\(81\) | 8.39898 | + | 3.23375i | 0.933220 | + | 0.359306i | ||||
\(82\) | 4.89898 | − | 8.48528i | 0.541002 | − | 0.937043i | ||||
\(83\) | 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 | ||||
\(87\) | 5.00000 | + | 10.8530i | 0.536056 | + | 1.16356i | ||||
\(88\) | −1.00000 | + | 1.73205i | −0.106600 | + | 0.184637i | ||||
\(89\) | −8.44949 | + | 14.6349i | −0.895644 | + | 1.55130i | −0.0626387 | + | 0.998036i | \(0.519952\pi\) |
−0.833005 | + | 0.553265i | \(0.813382\pi\) | |||||||
\(90\) | −1.44949 | − | 4.09978i | −0.152790 | − | 0.432154i | ||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0.500000 | + | 0.866025i | 0.0521286 | + | 0.0902894i | ||||
\(93\) | −10.3485 | − | 0.953512i | −1.07309 | − | 0.0988746i | ||||
\(94\) | −9.79796 | −1.01058 | ||||||||
\(95\) | −3.69694 | −0.379298 | ||||||||
\(96\) | 1.72474 | + | 0.158919i | 0.176031 | + | 0.0162196i | ||||
\(97\) | 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 | ||||
\(100\) | 1.44949 | − | 2.51059i | 0.144949 | − | 0.251059i | ||||
\(101\) | −8.62372 | + | 14.9367i | −0.858093 | + | 1.48626i | 0.0156533 | + | 0.999877i | \(0.495017\pi\) |
−0.873746 | + | 0.486383i | \(0.838316\pi\) | |||||||
\(102\) | 1.44949 | + | 3.14626i | 0.143521 | + | 0.311527i | ||||
\(103\) | 7.00000 | + | 12.1244i | 0.689730 | + | 1.19465i | 0.971925 | + | 0.235291i | \(0.0756043\pi\) |
−0.282194 | + | 0.959357i | \(0.591062\pi\) | |||||||
\(104\) | 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 | \(-0.0302972\pi\) | |||||||
\(108\) | 5.00000 | + | 1.41421i | 0.481125 | + | 0.136083i | ||||
\(109\) | −6.34847 | − | 10.9959i | −0.608073 | − | 1.05321i | −0.991558 | − | 0.129666i | \(-0.958609\pi\) |
0.383485 | − | 0.923547i | \(-0.374724\pi\) | |||||||
\(110\) | 2.89898 | 0.276407 | ||||||||
\(111\) | −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 | \(0.0740194\pi\) | |||||||
\(114\) | 2.55051 | − | 3.60697i | 0.238877 | − | 0.337823i | ||||
\(115\) | 0.724745 | − | 1.25529i | 0.0675828 | − | 0.117057i | ||||
\(116\) | 3.44949 | + | 5.97469i | 0.320277 | + | 0.554736i | ||||
\(117\) | 9.55051 | − | 11.1708i | 0.882945 | − | 1.03274i | ||||
\(118\) | 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 | ||||
\(122\) | −6.55051 | −0.593055 | ||||||||
\(123\) | 9.79796 | − | 13.8564i | 0.883452 | − | 1.24939i | ||||
\(124\) | −6.00000 | −0.538816 | ||||||||
\(125\) | −11.4495 | −1.02407 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.00000 | −0.266207 | −0.133103 | − | 0.991102i | \(-0.542494\pi\) | ||||
−0.133103 | + | 0.991102i | \(0.542494\pi\) | |||||||
\(128\) | 1.00000 | 0.0883883 | ||||||||
\(129\) | −5.00000 | − | 10.8530i | −0.440225 | − | 0.955554i | ||||
\(130\) | −7.10102 | −0.622801 | ||||||||
\(131\) | −4.27526 | − | 7.40496i | −0.373531 | − | 0.646974i | 0.616575 | − | 0.787296i | \(-0.288520\pi\) |
−0.990106 | + | 0.140322i | \(0.955186\pi\) | |||||||
\(132\) | −2.00000 | + | 2.82843i | −0.174078 | + | 0.246183i | ||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −12.8990 | −1.11430 | ||||||||
\(135\) | −1.84847 | − | 7.30142i | −0.159091 | − | 0.628406i | ||||
\(136\) | 1.00000 | + | 1.73205i | 0.0857493 | + | 0.148522i | ||||
\(137\) | −3.89898 | + | 6.75323i | −0.333112 | + | 0.576967i | −0.983120 | − | 0.182960i | \(-0.941432\pi\) |
0.650008 | + | 0.759927i | \(0.274765\pi\) | |||||||
\(138\) | 0.724745 | + | 1.57313i | 0.0616944 | + | 0.133914i | ||||
\(139\) | 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 | ||||
\(142\) | 0.101021 | 0.00847745 | ||||||||
\(143\) | 4.89898 | + | 8.48528i | 0.409673 | + | 0.709575i | ||||
\(144\) | 2.94949 | + | 0.548188i | 0.245791 | + | 0.0456823i | ||||
\(145\) | 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 | ||||
\(149\) | 3.00000 | + | 5.19615i | 0.245770 | + | 0.425685i | 0.962348 | − | 0.271821i | \(-0.0876260\pi\) |
−0.716578 | + | 0.697507i | \(0.754293\pi\) | |||||||
\(150\) | 2.89898 | − | 4.09978i | 0.236701 | − | 0.334745i | ||||
\(151\) | 2.50000 | − | 4.33013i | 0.203447 | − | 0.352381i | −0.746190 | − | 0.665733i | \(-0.768119\pi\) |
0.949637 | + | 0.313353i | \(0.101452\pi\) | |||||||
\(152\) | 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 | ||||
\(156\) | 4.89898 | − | 6.92820i | 0.392232 | − | 0.554700i | ||||
\(157\) | 8.34847 | 0.666280 | 0.333140 | − | 0.942877i | \(-0.391892\pi\) | ||||
0.333140 | + | 0.942877i | \(0.391892\pi\) | |||||||
\(158\) | −1.89898 | −0.151075 | ||||||||
\(159\) | 7.89898 | + | 17.1455i | 0.626430 | + | 1.35973i | ||||
\(160\) | −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 | \(-0.115759\pi\) | |||||||
\(164\) | 4.89898 | − | 8.48528i | 0.382546 | − | 0.662589i | ||||
\(165\) | 5.00000 | + | 0.460702i | 0.389249 | + | 0.0358656i | ||||
\(166\) | 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 | ||||
\(170\) | 1.44949 | − | 2.51059i | 0.111171 | − | 0.192553i | ||||
\(171\) | 4.97219 | − | 5.81577i | 0.380233 | − | 0.444743i | ||||
\(172\) | −3.44949 | − | 5.97469i | −0.263021 | − | 0.455566i | ||||
\(173\) | 3.10102 | 0.235766 | 0.117883 | − | 0.993027i | \(-0.462389\pi\) | ||||
0.117883 | + | 0.993027i | \(0.462389\pi\) | |||||||
\(174\) | 5.00000 | + | 10.8530i | 0.379049 | + | 0.822764i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −1.00000 | + | 1.73205i | −0.0753778 | + | 0.130558i | ||||
\(177\) | 3.44949 | + | 0.317837i | 0.259280 | + | 0.0238901i | ||||
\(178\) | −8.44949 | + | 14.6349i | −0.633316 | + | 1.09694i | ||||
\(179\) | −10.3485 | − | 17.9241i | −0.773481 | − | 1.33971i | −0.935644 | − | 0.352944i | \(-0.885181\pi\) |
0.162163 | − | 0.986764i | \(-0.448153\pi\) | |||||||
\(180\) | −1.44949 | − | 4.09978i | −0.108039 | − | 0.305579i | ||||
\(181\) | 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 | ||||
\(185\) | 17.1010 | 1.25729 | ||||||||
\(186\) | −10.3485 | − | 0.953512i | −0.758787 | − | 0.0699149i | ||||
\(187\) | −4.00000 | −0.292509 | ||||||||
\(188\) | −9.79796 | −0.714590 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −3.69694 | −0.268204 | ||||||||
\(191\) | 4.10102 | 0.296739 | 0.148370 | − | 0.988932i | \(-0.452597\pi\) | ||||
0.148370 | + | 0.988932i | \(0.452597\pi\) | |||||||
\(192\) | 1.72474 | + | 0.158919i | 0.124473 | + | 0.0114690i | ||||
\(193\) | −17.8990 | −1.28840 | −0.644198 | − | 0.764858i | \(-0.722809\pi\) | ||||
−0.644198 | + | 0.764858i | \(0.722809\pi\) | |||||||
\(194\) | 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 | \(0.297230\pi\) | |||||||
\(198\) | −3.89898 | + | 4.56048i | −0.277088 | + | 0.324099i | ||||
\(199\) | −1.44949 | − | 2.51059i | −0.102752 | − | 0.177971i | 0.810066 | − | 0.586339i | \(-0.199431\pi\) |
−0.912817 | + | 0.408368i | \(0.866098\pi\) | |||||||
\(200\) | 1.44949 | − | 2.51059i | 0.102494 | − | 0.177526i | ||||
\(201\) | −22.2474 | − | 2.04989i | −1.56921 | − | 0.144588i | ||||
\(202\) | −8.62372 | + | 14.9367i | −0.606763 | + | 1.05094i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 1.44949 | + | 3.14626i | 0.101485 | + | 0.220283i | ||||
\(205\) | −14.2020 | −0.991914 | ||||||||
\(206\) | 7.00000 | + | 12.1244i | 0.487713 | + | 0.844744i | ||||
\(207\) | 1.00000 | + | 2.82843i | 0.0695048 | + | 0.196589i | ||||
\(208\) | 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 | −0.997982 | − | 0.0634968i | \(-0.979775\pi\) |
0.553981 | + | 0.832529i | \(0.313108\pi\) | |||||||
\(212\) | 5.44949 | + | 9.43879i | 0.374272 | + | 0.648259i | ||||
\(213\) | 0.174235 | + | 0.0160540i | 0.0119384 | + | 0.00110000i | ||||
\(214\) | 6.00000 | − | 10.3923i | 0.410152 | − | 0.710403i | ||||
\(215\) | −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 | ||||
\(219\) | −5.00000 | − | 10.8530i | −0.337869 | − | 0.733378i | ||||
\(220\) | 2.89898 | 0.195449 | ||||||||
\(221\) | 9.79796 | 0.659082 | ||||||||
\(222\) | −11.7980 | + | 16.6848i | −0.791827 | + | 1.11981i | ||||
\(223\) | −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 | ||||
\(226\) | 3.05051 | − | 5.28364i | 0.202917 | − | 0.351462i | ||||
\(227\) | −2.72474 | + | 4.71940i | −0.180848 | + | 0.313237i | −0.942169 | − | 0.335137i | \(-0.891217\pi\) |
0.761322 | + | 0.648374i | \(0.224551\pi\) | |||||||
\(228\) | 2.55051 | − | 3.60697i | 0.168912 | − | 0.238877i | ||||
\(229\) | 0.623724 | + | 1.08032i | 0.0412169 | + | 0.0713897i | 0.885898 | − | 0.463880i | \(-0.153543\pi\) |
−0.844681 | + | 0.535270i | \(0.820210\pi\) | |||||||
\(230\) | 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 | \(0.0930254\pi\) | |||||||
\(234\) | 9.55051 | − | 11.1708i | 0.624336 | − | 0.730261i | ||||
\(235\) | 7.10102 | + | 12.2993i | 0.463220 | + | 0.802320i | ||||
\(236\) | 2.00000 | 0.130189 | ||||||||
\(237\) | −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 | \(0.237227\pi\) | |||||||
\(240\) | −1.05051 | − | 2.28024i | −0.0678101 | − | 0.147189i | ||||
\(241\) | 0.449490 | − | 0.778539i | 0.0289542 | − | 0.0501501i | −0.851185 | − | 0.524865i | \(-0.824116\pi\) |
0.880139 | + | 0.474715i | \(0.157449\pi\) | |||||||
\(242\) | 3.50000 | + | 6.06218i | 0.224989 | + | 0.389692i | ||||
\(243\) | 13.9722 | + | 6.91215i | 0.896317 | + | 0.443415i | ||||
\(244\) | −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 | ||||
\(248\) | −6.00000 | −0.381000 | ||||||||
\(249\) | 1.44949 | + | 3.14626i | 0.0918577 | + | 0.199386i | ||||
\(250\) | −11.4495 | −0.724129 | ||||||||
\(251\) | −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 | ||||||||
\(254\) | −3.00000 | −0.188237 | ||||||||
\(255\) | 2.89898 | − | 4.09978i | 0.181541 | − | 0.256738i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 4.10102 | + | 7.10318i | 0.255815 | + | 0.443084i | 0.965116 | − | 0.261821i | \(-0.0843230\pi\) |
−0.709302 | + | 0.704905i | \(0.750990\pi\) | |||||||
\(258\) | −5.00000 | − | 10.8530i | −0.311286 | − | 0.675679i | ||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −7.10102 | −0.440387 | ||||||||
\(261\) | 6.89898 | + | 19.5133i | 0.427036 | + | 1.20784i | ||||
\(262\) | −4.27526 | − | 7.40496i | −0.264126 | − | 0.457480i | ||||
\(263\) | −12.9495 | + | 22.4292i | −0.798500 | + | 1.38304i | 0.122093 | + | 0.992519i | \(0.461039\pi\) |
−0.920593 | + | 0.390523i | \(0.872294\pi\) | |||||||
\(264\) | −2.00000 | + | 2.82843i | −0.123091 | + | 0.174078i | ||||
\(265\) | 7.89898 | − | 13.6814i | 0.485230 | − | 0.840444i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −16.8990 | + | 23.8988i | −1.03420 | + | 1.46258i | ||||
\(268\) | −12.8990 | −0.787931 | ||||||||
\(269\) | −9.17423 | − | 15.8902i | −0.559363 | − | 0.968845i | −0.997550 | − | 0.0699611i | \(-0.977712\pi\) |
0.438187 | − | 0.898884i | \(-0.355621\pi\) | |||||||
\(270\) | −1.84847 | − | 7.30142i | −0.112494 | − | 0.444350i | ||||
\(271\) | 3.55051 | − | 6.14966i | 0.215678 | − | 0.373565i | −0.737804 | − | 0.675015i | \(-0.764137\pi\) |
0.953482 | + | 0.301450i | \(0.0974705\pi\) | |||||||
\(272\) | 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 | ||||
\(276\) | 0.724745 | + | 1.57313i | 0.0436245 | + | 0.0946914i | ||||
\(277\) | 9.34847 | − | 16.1920i | 0.561695 | − | 0.972884i | −0.435654 | − | 0.900114i | \(-0.643483\pi\) |
0.997349 | − | 0.0727700i | \(-0.0231839\pi\) | |||||||
\(278\) | 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 | 0.996887 | + | 0.0788417i | \(0.0251222\pi\) |
−0.430165 | + | 0.902750i | \(0.641545\pi\) | |||||||
\(282\) | −16.8990 | − | 1.55708i | −1.00632 | − | 0.0927227i | ||||
\(283\) | 25.4495 | 1.51282 | 0.756408 | − | 0.654101i | \(-0.226953\pi\) | ||||
0.756408 | + | 0.654101i | \(0.226953\pi\) | |||||||
\(284\) | 0.101021 | 0.00599446 | ||||||||
\(285\) | −6.37628 | − | 0.587512i | −0.377698 | − | 0.0348012i | ||||
\(286\) | 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 | ||||
\(290\) | 5.00000 | − | 8.66025i | 0.293610 | − | 0.508548i | ||||
\(291\) | 2.10102 | + | 4.56048i | 0.123164 | + | 0.267340i | ||||
\(292\) | −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 | ||||
\(296\) | −5.89898 | + | 10.2173i | −0.342871 | + | 0.593870i | ||||
\(297\) | −7.44949 | + | 7.24604i | −0.432263 | + | 0.420458i | ||||
\(298\) | 3.00000 | + | 5.19615i | 0.173785 | + | 0.301005i | ||||
\(299\) | 4.89898 | 0.283315 | ||||||||
\(300\) | 2.89898 | − | 4.09978i | 0.167373 | − | 0.236701i | ||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 2.50000 | − | 4.33013i | 0.143859 | − | 0.249171i | ||||
\(303\) | −17.2474 | + | 24.3916i | −0.990840 | + | 1.40126i | ||||
\(304\) | 1.27526 | − | 2.20881i | 0.0731409 | − | 0.126684i | ||||
\(305\) | 4.74745 | + | 8.22282i | 0.271838 | + | 0.470837i | ||||
\(306\) | 2.00000 | + | 5.65685i | 0.114332 | + | 0.323381i | ||||
\(307\) | −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 | ||||
\(311\) | −30.6969 | −1.74066 | −0.870332 | − | 0.492466i | \(-0.836096\pi\) | ||||
−0.870332 | + | 0.492466i | \(0.836096\pi\) | |||||||
\(312\) | 4.89898 | − | 6.92820i | 0.277350 | − | 0.392232i | ||||
\(313\) | 4.69694 | 0.265487 | 0.132743 | − | 0.991150i | \(-0.457621\pi\) | ||||
0.132743 | + | 0.991150i | \(0.457621\pi\) | |||||||
\(314\) | 8.34847 | 0.471131 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.89898 | −0.106826 | ||||||||
\(317\) | 20.6969 | 1.16246 | 0.581228 | − | 0.813741i | \(-0.302572\pi\) | ||||
0.581228 | + | 0.813741i | \(0.302572\pi\) | |||||||
\(318\) | 7.89898 | + | 17.1455i | 0.442953 | + | 0.961474i | ||||
\(319\) | −13.7980 | −0.772537 | ||||||||
\(320\) | −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 | ||||||||
\(324\) | 8.39898 | + | 3.23375i | 0.466610 | + | 0.179653i | ||||
\(325\) | −7.10102 | − | 12.2993i | −0.393894 | − | 0.682244i | ||||
\(326\) | 9.89898 | − | 17.1455i | 0.548254 | − | 0.949603i | ||||
\(327\) | −9.20204 | − | 19.9740i | −0.508874 | − | 1.10456i | ||||
\(328\) | 4.89898 | − | 8.48528i | 0.270501 | − | 0.468521i | ||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 5.00000 | + | 0.460702i | 0.275241 | + | 0.0253608i | ||||
\(331\) | 4.69694 | 0.258167 | 0.129084 | − | 0.991634i | \(-0.458796\pi\) | ||||
0.129084 | + | 0.991634i | \(0.458796\pi\) | |||||||
\(332\) | 1.00000 | + | 1.73205i | 0.0548821 | + | 0.0950586i | ||||
\(333\) | −23.0000 | + | 26.9022i | −1.26039 | + | 1.47423i | ||||
\(334\) | −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 | −0.348877 | − | 0.937168i | \(-0.613437\pi\) |
0.986050 | − | 0.166447i | \(-0.0532296\pi\) | |||||||
\(338\) | −5.50000 | − | 9.52628i | −0.299161 | − | 0.518161i | ||||
\(339\) | 6.10102 | − | 8.62815i | 0.331362 | − | 0.468617i | ||||
\(340\) | 1.44949 | − | 2.51059i | 0.0786096 | − | 0.136156i | ||||
\(341\) | 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 | ||||
\(345\) | 1.44949 | − | 2.04989i | 0.0780379 | − | 0.110362i | ||||
\(346\) | 3.10102 | 0.166712 | ||||||||
\(347\) | 19.5959 | 1.05196 | 0.525982 | − | 0.850496i | \(-0.323698\pi\) | ||||
0.525982 | + | 0.850496i | \(0.323698\pi\) | |||||||
\(348\) | 5.00000 | + | 10.8530i | 0.268028 | + | 0.581782i | ||||
\(349\) | 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 | ||||
\(352\) | −1.00000 | + | 1.73205i | −0.0533002 | + | 0.0923186i | ||||
\(353\) | −3.00000 | + | 5.19615i | −0.159674 | + | 0.276563i | −0.934751 | − | 0.355303i | \(-0.884378\pi\) |
0.775077 | + | 0.631867i | \(0.217711\pi\) | |||||||
\(354\) | 3.44949 | + | 0.317837i | 0.183338 | + | 0.0168929i | ||||
\(355\) | −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 | ||||
\(359\) | 4.39898 | − | 7.61926i | 0.232169 | − | 0.402129i | −0.726277 | − | 0.687402i | \(-0.758751\pi\) |
0.958446 | + | 0.285273i | \(0.0920843\pi\) | |||||||
\(360\) | −1.44949 | − | 4.09978i | −0.0763948 | − | 0.216077i | ||||
\(361\) | 6.24745 | + | 10.8209i | 0.328813 | + | 0.569521i | ||||
\(362\) | 10.3485 | 0.543903 | ||||||||
\(363\) | 5.07321 | + | 11.0119i | 0.266275 | + | 0.577976i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −5.00000 | + | 8.66025i | −0.261712 | + | 0.453298i | ||||
\(366\) | −11.2980 | − | 1.04100i | −0.590554 | − | 0.0544138i | ||||
\(367\) | −6.89898 | + | 11.9494i | −0.360124 | + | 0.623753i | −0.987981 | − | 0.154576i | \(-0.950599\pi\) |
0.627857 | + | 0.778329i | \(0.283932\pi\) | |||||||
\(368\) | 0.500000 | + | 0.866025i | 0.0260643 | + | 0.0451447i | ||||
\(369\) | 19.1010 | − | 22.3417i | 0.994359 | − | 1.16306i | ||||
\(370\) | 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 | 0.941404 | − | 0.337281i | \(-0.109507\pi\) |
−0.762796 | + | 0.646639i | \(0.776174\pi\) | |||||||
\(374\) | −4.00000 | −0.206835 | ||||||||
\(375\) | −19.7474 | − | 1.81954i | −1.01975 | − | 0.0939605i | ||||
\(376\) | −9.79796 | −0.505291 | ||||||||
\(377\) | 33.7980 | 1.74068 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 22.4949 | 1.15549 | 0.577743 | − | 0.816219i | \(-0.303934\pi\) | ||||
0.577743 | + | 0.816219i | \(0.303934\pi\) | |||||||
\(380\) | −3.69694 | −0.189649 | ||||||||
\(381\) | −5.17423 | − | 0.476756i | −0.265084 | − | 0.0244249i | ||||
\(382\) | 4.10102 | 0.209826 | ||||||||
\(383\) | −1.44949 | − | 2.51059i | −0.0740655 | − | 0.128285i | 0.826614 | − | 0.562769i | \(-0.190264\pi\) |
−0.900679 | + | 0.434484i | \(0.856931\pi\) | |||||||
\(384\) | 1.72474 | + | 0.158919i | 0.0880155 | + | 0.00810978i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −17.8990 | −0.911034 | ||||||||
\(387\) | −6.89898 | − | 19.5133i | −0.350695 | − | 0.991915i | ||||
\(388\) | 1.44949 | + | 2.51059i | 0.0735867 | + | 0.127456i | ||||
\(389\) | 12.4495 | − | 21.5631i | 0.631214 | − | 1.09330i | −0.356090 | − | 0.934452i | \(-0.615890\pi\) |
0.987304 | − | 0.158843i | \(-0.0507764\pi\) | |||||||
\(390\) | −12.2474 | − | 1.12848i | −0.620174 | − | 0.0571430i | ||||
\(391\) | −1.00000 | + | 1.73205i | −0.0505722 | + | 0.0875936i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −6.19694 | − | 13.4511i | −0.312594 | − | 0.678517i | ||||
\(394\) | 16.6969 | 0.841180 | ||||||||
\(395\) | 1.37628 | + | 2.38378i | 0.0692479 | + | 0.119941i | ||||
\(396\) | −3.89898 | + | 4.56048i | −0.195931 | + | 0.229173i | ||||
\(397\) | 19.3485 | − | 33.5125i | 0.971072 | − | 1.68195i | 0.278740 | − | 0.960367i | \(-0.410083\pi\) |
0.692332 | − | 0.721579i | \(-0.256583\pi\) | |||||||
\(398\) | −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 | 0.999993 | − | 0.00362911i | \(-0.00115518\pi\) |
−0.503140 | + | 0.864205i | \(0.667822\pi\) | |||||||
\(402\) | −22.2474 | − | 2.04989i | −1.10960 | − | 0.102239i | ||||
\(403\) | −14.6969 | + | 25.4558i | −0.732107 | + | 1.26805i | ||||
\(404\) | −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 | ||||
\(408\) | 1.44949 | + | 3.14626i | 0.0717604 | + | 0.155763i | ||||
\(409\) | 13.7980 | 0.682265 | 0.341133 | − | 0.940015i | \(-0.389189\pi\) | ||||
0.341133 | + | 0.940015i | \(0.389189\pi\) | |||||||
\(410\) | −14.2020 | −0.701389 | ||||||||
\(411\) | −7.79796 | + | 11.0280i | −0.384645 | + | 0.543970i | ||||
\(412\) | 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 | ||||
\(416\) | 2.44949 | − | 4.24264i | 0.120096 | − | 0.208013i | ||||
\(417\) | 4.55051 | − | 6.43539i | 0.222839 | − | 0.315143i | ||||
\(418\) | 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 | \(-0.355103\pi\) | |||||||
\(422\) | −6.44949 | + | 11.1708i | −0.313956 | + | 0.543788i | ||||
\(423\) | −28.8990 | − | 5.37113i | −1.40512 | − | 0.261153i | ||||
\(424\) | 5.44949 | + | 9.43879i | 0.264651 | + | 0.458388i | ||||
\(425\) | 5.79796 | 0.281242 | ||||||||
\(426\) | 0.174235 | + | 0.0160540i | 0.00844169 | + | 0.000777821i | ||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 6.00000 | − | 10.3923i | 0.290021 | − | 0.502331i | ||||
\(429\) | 7.10102 | + | 15.4135i | 0.342841 | + | 0.744170i | ||||
\(430\) | −5.00000 | + | 8.66025i | −0.241121 | + | 0.417635i | ||||
\(431\) | −15.7980 | − | 27.3629i | −0.760961 | − | 1.31802i | −0.942356 | − | 0.334613i | \(-0.891395\pi\) |
0.181395 | − | 0.983410i | \(-0.441939\pi\) | |||||||
\(432\) | 5.00000 | + | 1.41421i | 0.240563 | + | 0.0680414i | ||||
\(433\) | 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 | ||||
\(437\) | 2.55051 | 0.122007 | ||||||||
\(438\) | −5.00000 | − | 10.8530i | −0.238909 | − | 0.518577i | ||||
\(439\) | −2.20204 | −0.105098 | −0.0525488 | − | 0.998618i | \(-0.516735\pi\) | ||||
−0.0525488 | + | 0.998618i | \(0.516735\pi\) | |||||||
\(440\) | 2.89898 | 0.138203 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 9.79796 | 0.466041 | ||||||||
\(443\) | −14.8990 | −0.707872 | −0.353936 | − | 0.935270i | \(-0.615157\pi\) | ||||
−0.353936 | + | 0.935270i | \(0.615157\pi\) | |||||||
\(444\) | −11.7980 | + | 16.6848i | −0.559906 | + | 0.791827i | ||||
\(445\) | 24.4949 | 1.16117 | ||||||||
\(446\) | −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 | \(0.338459\pi\) | |||||||
\(450\) | 5.65153 | − | 6.61037i | 0.266416 | − | 0.311616i | ||||
\(451\) | 9.79796 | + | 16.9706i | 0.461368 | + | 0.799113i | ||||
\(452\) | 3.05051 | − | 5.28364i | 0.143484 | − | 0.248521i | ||||
\(453\) | 5.00000 | − | 7.07107i | 0.234920 | − | 0.332228i | ||||
\(454\) | −2.72474 | + | 4.71940i | −0.127879 | + | 0.221492i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 2.55051 | − | 3.60697i | 0.119439 | − | 0.168912i | ||||
\(457\) | −17.4949 | −0.818377 | −0.409188 | − | 0.912450i | \(-0.634188\pi\) | ||||
−0.409188 | + | 0.912450i | \(0.634188\pi\) | |||||||
\(458\) | 0.623724 | + | 1.08032i | 0.0291447 | + | 0.0504801i | ||||
\(459\) | 2.55051 | + | 10.0745i | 0.119048 | + | 0.470236i | ||||
\(460\) | 0.724745 | − | 1.25529i | 0.0337914 | − | 0.0585284i | ||||
\(461\) | 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 | ||||
\(465\) | 6.30306 | + | 13.6814i | 0.292297 | + | 0.634461i | ||||
\(466\) | 3.50000 | − | 6.06218i | 0.162134 | − | 0.280825i | ||||
\(467\) | 5.00000 | − | 8.66025i | 0.231372 | − | 0.400749i | −0.726840 | − | 0.686807i | \(-0.759012\pi\) |
0.958212 | + | 0.286058i | \(0.0923451\pi\) | |||||||
\(468\) | 9.55051 | − | 11.1708i | 0.441472 | − | 0.516372i | ||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 7.10102 | + | 12.2993i | 0.327546 | + | 0.567326i | ||||
\(471\) | 14.3990 | + | 1.32673i | 0.663470 | + | 0.0611324i | ||||
\(472\) | 2.00000 | 0.0920575 | ||||||||
\(473\) | 13.7980 | 0.634431 | ||||||||
\(474\) | −3.27526 | − | 0.301783i | −0.150437 | − | 0.0138614i | ||||
\(475\) | −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 | ||||
\(479\) | 4.79796 | − | 8.31031i | 0.219224 | − | 0.379708i | −0.735347 | − | 0.677691i | \(-0.762981\pi\) |
0.954571 | + | 0.297983i | \(0.0963140\pi\) | |||||||
\(480\) | −1.05051 | − | 2.28024i | −0.0479490 | − | 0.104078i | ||||
\(481\) | 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 | ||||
\(485\) | 2.10102 | − | 3.63907i | 0.0954024 | − | 0.165242i | ||||
\(486\) | 13.9722 | + | 6.91215i | 0.633792 | + | 0.313541i | ||||
\(487\) | 18.1969 | + | 31.5180i | 0.824582 | + | 1.42822i | 0.902238 | + | 0.431238i | \(0.141923\pi\) |
−0.0776564 | + | 0.996980i | \(0.524744\pi\) | |||||||
\(488\) | −6.55051 | −0.296528 | ||||||||
\(489\) | 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 | \(0.282688\pi\) | |||||||
\(492\) | 9.79796 | − | 13.8564i | 0.441726 | − | 0.624695i | ||||
\(493\) | −6.89898 | + | 11.9494i | −0.310714 | + | 0.538173i | ||||
\(494\) | −6.24745 | − | 10.8209i | −0.281086 | − | 0.486855i | ||||
\(495\) | 8.55051 | + | 1.58919i | 0.384317 | + | 0.0714286i | ||||
\(496\) | −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 | 0.996725 | + | 0.0808642i | \(0.0257680\pi\) |
−0.428332 | + | 0.903621i | \(0.640899\pi\) | |||||||
\(500\) | −11.4495 | −0.512037 | ||||||||
\(501\) | −10.6969 | + | 15.1278i | −0.477904 | + | 0.675858i | ||||
\(502\) | −17.4495 | −0.778809 | ||||||||
\(503\) | 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 | ||||||||
\(506\) | −2.00000 | −0.0889108 | ||||||||
\(507\) | −7.97219 | − | 17.3045i | −0.354058 | − | 0.768518i | ||||
\(508\) | −3.00000 | −0.133103 | ||||||||
\(509\) | −3.55051 | − | 6.14966i | −0.157374 | − | 0.272579i | 0.776547 | − | 0.630059i | \(-0.216969\pi\) |
−0.933921 | + | 0.357480i | \(0.883636\pi\) | |||||||
\(510\) | 2.89898 | − | 4.09978i | 0.128369 | − | 0.181541i | ||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 9.50000 | − | 9.24055i | 0.419435 | − | 0.407980i | ||||
\(514\) | 4.10102 | + | 7.10318i | 0.180888 | + | 0.313308i | ||||
\(515\) | 10.1464 | − | 17.5741i | 0.447105 | − | 0.774409i | ||||
\(516\) | −5.00000 | − | 10.8530i | −0.220113 | − | 0.477777i | ||||
\(517\) | 9.79796 | − | 16.9706i | 0.430914 | − | 0.746364i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 5.34847 | + | 0.492810i | 0.234772 | + | 0.0216320i | ||||
\(520\) | −7.10102 | −0.311400 | ||||||||
\(521\) | −4.65153 | − | 8.05669i | −0.203787 | − | 0.352970i | 0.745958 | − | 0.665993i | \(-0.231992\pi\) |
−0.949746 | + | 0.313023i | \(0.898658\pi\) | |||||||
\(522\) | 6.89898 | + | 19.5133i | 0.301960 | + | 0.854072i | ||||
\(523\) | −7.17423 | + | 12.4261i | −0.313707 | + | 0.543357i | −0.979162 | − | 0.203081i | \(-0.934904\pi\) |
0.665455 | + | 0.746438i | \(0.268238\pi\) | |||||||
\(524\) | −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 | ||||
\(528\) | −2.00000 | + | 2.82843i | −0.0870388 | + | 0.123091i | ||||
\(529\) | 11.0000 | − | 19.0526i | 0.478261 | − | 0.828372i | ||||
\(530\) | 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 | ||||
\(534\) | −16.8990 | + | 23.8988i | −0.731290 | + | 1.03420i | ||||
\(535\) | −17.3939 | −0.752003 | ||||||||
\(536\) | −12.8990 | −0.557151 | ||||||||
\(537\) | −15.0000 | − | 32.5590i | −0.647298 | − | 1.40503i | ||||
\(538\) | −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 | \(0.0365172\pi\) | |||||||
\(542\) | 3.55051 | − | 6.14966i | 0.152507 | − | 0.264151i | ||||
\(543\) | 17.8485 | + | 1.64456i | 0.765951 | + | 0.0705750i | ||||
\(544\) | 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 | \(0.781413\pi\) | |||||||
\(548\) | −3.89898 | + | 6.75323i | −0.166556 | + | 0.288484i | ||||
\(549\) | −19.3207 | − | 3.59091i | −0.824586 | − | 0.153256i | ||||
\(550\) | 2.89898 | + | 5.02118i | 0.123613 | + | 0.214104i | ||||
\(551\) | 17.5959 | 0.749611 | ||||||||
\(552\) | 0.724745 | + | 1.57313i | 0.0308472 | + | 0.0669570i | ||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 9.34847 | − | 16.1920i | 0.397178 | − | 0.687933i | ||||
\(555\) | 29.4949 | + | 2.71767i | 1.25199 | + | 0.115359i | ||||
\(556\) | 2.27526 | − | 3.94086i | 0.0964923 | − | 0.167130i | ||||
\(557\) | 6.44949 | + | 11.1708i | 0.273274 | + | 0.473324i | 0.969698 | − | 0.244306i | \(-0.0785602\pi\) |
−0.696424 | + | 0.717630i | \(0.745227\pi\) | |||||||
\(558\) | −17.6969 | − | 3.28913i | −0.749171 | − | 0.139240i | ||||
\(559\) | −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 | ||||
\(563\) | 39.9444 | 1.68346 | 0.841728 | − | 0.539902i | \(-0.181539\pi\) | ||||
0.841728 | + | 0.539902i | \(0.181539\pi\) | |||||||
\(564\) | −16.8990 | − | 1.55708i | −0.711575 | − | 0.0655648i | ||||
\(565\) | −8.84337 | −0.372043 | ||||||||
\(566\) | 25.4495 | 1.06972 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0.101021 | 0.00423873 | ||||||||
\(569\) | −30.0000 | −1.25767 | −0.628833 | − | 0.777541i | \(-0.716467\pi\) | ||||
−0.628833 | + | 0.777541i | \(0.716467\pi\) | |||||||
\(570\) | −6.37628 | − | 0.587512i | −0.267073 | − | 0.0246082i | ||||
\(571\) | 33.7980 | 1.41440 | 0.707200 | − | 0.707013i | \(-0.249958\pi\) | ||||
0.707200 | + | 0.707013i | \(0.249958\pi\) | |||||||
\(572\) | 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 | ||||||||
\(576\) | 2.94949 | + | 0.548188i | 0.122895 | + | 0.0228412i | ||||
\(577\) | −7.79796 | − | 13.5065i | −0.324633 | − | 0.562281i | 0.656805 | − | 0.754061i | \(-0.271908\pi\) |
−0.981438 | + | 0.191779i | \(0.938574\pi\) | |||||||
\(578\) | 6.50000 | − | 11.2583i | 0.270364 | − | 0.468285i | ||||
\(579\) | −30.8712 | − | 2.84448i | −1.28296 | − | 0.118213i | ||||
\(580\) | 5.00000 | − | 8.66025i | 0.207614 | − | 0.359597i | ||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 2.10102 | + | 4.56048i | 0.0870901 | + | 0.189038i | ||||
\(583\) | −21.7980 | −0.902779 | ||||||||
\(584\) | −3.44949 | − | 5.97469i | −0.142741 | − | 0.247234i | ||||
\(585\) | −20.9444 | − | 3.89270i | −0.865944 | − | 0.160943i | ||||
\(586\) | 1.37628 | − | 2.38378i | 0.0568534 | − | 0.0984730i | ||||
\(587\) | 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 | ||||
\(591\) | 28.7980 | + | 2.65345i | 1.18459 | + | 0.109149i | ||||
\(592\) | −5.89898 | + | 10.2173i | −0.242447 | + | 0.419930i | ||||
\(593\) | 7.34847 | − | 12.7279i | 0.301765 | − | 0.522673i | −0.674770 | − | 0.738028i | \(-0.735757\pi\) |
0.976536 | + | 0.215355i | \(0.0690907\pi\) | |||||||
\(594\) | −7.44949 | + | 7.24604i | −0.305656 | + | 0.297309i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 3.00000 | + | 5.19615i | 0.122885 | + | 0.212843i | ||||
\(597\) | −2.10102 | − | 4.56048i | −0.0859890 | − | 0.186648i | ||||
\(598\) | 4.89898 | 0.200334 | ||||||||
\(599\) | −33.7980 | −1.38095 | −0.690474 | − | 0.723358i | \(-0.742598\pi\) | ||||
−0.690474 | + | 0.723358i | \(0.742598\pi\) | |||||||
\(600\) | 2.89898 | − | 4.09978i | 0.118350 | − | 0.167373i | ||||
\(601\) | 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 | ||||
\(604\) | 2.50000 | − | 4.33013i | 0.101724 | − | 0.176190i | ||||
\(605\) | 5.07321 | − | 8.78706i | 0.206255 | − | 0.357245i | ||||
\(606\) | −17.2474 | + | 24.3916i | −0.700630 | + | 0.990840i | ||||
\(607\) | 10.3485 | + | 17.9241i | 0.420031 | + | 0.727516i | 0.995942 | − | 0.0899969i | \(-0.0286857\pi\) |
−0.575911 | + | 0.817513i | \(0.695352\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | 2.00000 | + | 5.65685i | 0.0808452 | + | 0.228665i | ||||
\(613\) | 7.34847 | + | 12.7279i | 0.296802 | + | 0.514076i | 0.975402 | − | 0.220432i | \(-0.0707466\pi\) |
−0.678601 | + | 0.734508i | \(0.737413\pi\) | |||||||
\(614\) | −25.2474 | −1.01890 | ||||||||
\(615\) | −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 | \(0.0663821\pi\) | |||||||
\(618\) | 10.1464 | + | 22.0239i | 0.408149 | + | 0.885929i | ||||
\(619\) | 15.0732 | − | 26.1076i | 0.605844 | − | 1.04935i | −0.386074 | − | 0.922468i | \(-0.626169\pi\) |
0.991918 | − | 0.126884i | \(-0.0404976\pi\) | |||||||
\(620\) | 4.34847 | + | 7.53177i | 0.174639 | + | 0.302483i | ||||
\(621\) | 1.27526 | + | 5.03723i | 0.0511742 | + | 0.202137i | ||||
\(622\) | −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 | ||||
\(626\) | 4.69694 | 0.187727 | ||||||||
\(627\) | 3.69694 | + | 8.02458i | 0.147642 | + | 0.320471i | ||||
\(628\) | 8.34847 | 0.333140 | ||||||||
\(629\) | −23.5959 | −0.940831 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 27.8990 | 1.11064 | 0.555320 | − | 0.831636i | \(-0.312596\pi\) | ||||
0.555320 | + | 0.831636i | \(0.312596\pi\) | |||||||
\(632\) | −1.89898 | −0.0755373 | ||||||||
\(633\) | −12.8990 | + | 18.2419i | −0.512688 | + | 0.725051i | ||||
\(634\) | 20.6969 | 0.821980 | ||||||||
\(635\) | 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 | ||||||||
\(639\) | 0.297959 | + | 0.0553782i | 0.0117871 | + | 0.00219073i | ||||
\(640\) | −0.724745 | − | 1.25529i | −0.0286481 | − | 0.0496199i | ||||
\(641\) | 3.74745 | − | 6.49077i | 0.148015 | − | 0.256370i | −0.782479 | − | 0.622678i | \(-0.786045\pi\) |
0.930494 | + | 0.366308i | \(0.119378\pi\) | |||||||
\(642\) | 12.0000 | − | 16.9706i | 0.473602 | − | 0.669775i | ||||
\(643\) | −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 | ||||
\(646\) | 5.10102 | 0.200697 | ||||||||
\(647\) | −25.3485 | − | 43.9048i | −0.996551 | − | 1.72608i | −0.570139 | − | 0.821548i | \(-0.693111\pi\) |
−0.426412 | − | 0.904529i | \(-0.640223\pi\) | |||||||
\(648\) | 8.39898 | + | 3.23375i | 0.329943 | + | 0.127034i | ||||
\(649\) | −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 | ||||
\(653\) | −4.89898 | − | 8.48528i | −0.191712 | − | 0.332055i | 0.754106 | − | 0.656753i | \(-0.228071\pi\) |
−0.945818 | + | 0.324698i | \(0.894737\pi\) | |||||||
\(654\) | −9.20204 | − | 19.9740i | −0.359828 | − | 0.781044i | ||||
\(655\) | −6.19694 | + | 10.7334i | −0.242134 | + | 0.419389i | ||||
\(656\) | 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 | 0.999763 | − | 0.0217701i | \(-0.00693018\pi\) |
−0.518735 | + | 0.854935i | \(0.673597\pi\) | |||||||
\(660\) | 5.00000 | + | 0.460702i | 0.194625 | + | 0.0179328i | ||||
\(661\) | −4.55051 | −0.176994 | −0.0884972 | − | 0.996076i | \(-0.528206\pi\) | ||||
−0.0884972 | + | 0.996076i | \(0.528206\pi\) | |||||||
\(662\) | 4.69694 | 0.182552 | ||||||||
\(663\) | 16.8990 | + | 1.55708i | 0.656302 | + | 0.0604719i | ||||
\(664\) | 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 | ||||
\(668\) | −5.34847 | + | 9.26382i | −0.206938 | + | 0.358428i | ||||
\(669\) | −8.04541 | − | 17.4634i | −0.311053 | − | 0.675173i | ||||
\(670\) | 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 | \(0.780353\pi\) | |||||||
\(674\) | 11.6969 | − | 20.2597i | 0.450549 | − | 0.780374i | ||||
\(675\) | 10.7980 | − | 10.5031i | 0.415614 | − | 0.404263i | ||||
\(676\) | −5.50000 | − | 9.52628i | −0.211538 | − | 0.366395i | ||||
\(677\) | −14.6969 | −0.564849 | −0.282425 | − | 0.959289i | \(-0.591139\pi\) | ||||
−0.282425 | + | 0.959289i | \(0.591139\pi\) | |||||||
\(678\) | 6.10102 | − | 8.62815i | 0.234308 | − | 0.331362i | ||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 1.44949 | − | 2.51059i | 0.0555854 | − | 0.0962767i | ||||
\(681\) | −5.44949 | + | 7.70674i | −0.208825 | + | 0.295323i | ||||
\(682\) | 6.00000 | − | 10.3923i | 0.229752 | − | 0.397942i | ||||
\(683\) | −25.8990 | − | 44.8583i | −0.990997 | − | 1.71646i | −0.611446 | − | 0.791286i | \(-0.709412\pi\) |
−0.379551 | − | 0.925171i | \(-0.623921\pi\) | |||||||
\(684\) | 4.97219 | − | 5.81577i | 0.190117 | − | 0.222372i | ||||
\(685\) | 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 | ||||
\(689\) | 53.3939 | 2.03414 | ||||||||
\(690\) | 1.44949 | − | 2.04989i | 0.0551811 | − | 0.0780379i | ||||
\(691\) | −51.0454 | −1.94186 | −0.970929 | − | 0.239366i | \(-0.923060\pi\) | ||||
−0.970929 | + | 0.239366i | \(0.923060\pi\) | |||||||
\(692\) | 3.10102 | 0.117883 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 19.5959 | 0.743851 | ||||||||
\(695\) | −6.59592 | −0.250197 | ||||||||
\(696\) | 5.00000 | + | 10.8530i | 0.189525 | + | 0.411382i | ||||
\(697\) | 19.5959 | 0.742248 | ||||||||
\(698\) | 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 | \(0.544592\pi\) | |||||||
\(702\) | 18.2474 | − | 17.7491i | 0.688706 | − | 0.669897i | ||||
\(703\) | 15.0454 | + | 26.0594i | 0.567448 | + | 0.982849i | ||||
\(704\) | −1.00000 | + | 1.73205i | −0.0376889 | + | 0.0652791i | ||||
\(705\) | 10.2929 | + | 22.3417i | 0.387651 | + | 0.841437i | ||||
\(706\) | −3.00000 | + | 5.19615i | −0.112906 | + | 0.195560i | ||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.44949 | + | 0.317837i | 0.129640 | + | 0.0119451i | ||||
\(709\) | 27.5959 | 1.03639 | 0.518193 | − | 0.855264i | \(-0.326605\pi\) | ||||
0.518193 | + | 0.855264i | \(0.326605\pi\) | |||||||
\(710\) | −0.0732141 | − | 0.126811i | −0.00274768 | − | 0.00475911i | ||||
\(711\) | −5.60102 | − | 1.04100i | −0.210055 | − | 0.0390405i | ||||
\(712\) | −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 | ||||
\(716\) | −10.3485 | − | 17.9241i | −0.386740 | − | 0.669854i | ||||
\(717\) | −6.79796 | + | 9.61377i | −0.253874 | + | 0.359033i | ||||
\(718\) | 4.39898 | − | 7.61926i | 0.164168 | − | 0.284348i | ||||
\(719\) | 4.89898 | − | 8.48528i | 0.182701 | − | 0.316448i | −0.760098 | − | 0.649808i | \(-0.774849\pi\) |
0.942799 | + | 0.333360i | \(0.108183\pi\) | |||||||
\(720\) | −1.44949 | − | 4.09978i | −0.0540193 | − | 0.152790i | ||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 6.24745 | + | 10.8209i | 0.232506 | + | 0.402712i | ||||
\(723\) | 0.898979 | − | 1.27135i | 0.0334334 | − | 0.0472820i | ||||
\(724\) | 10.3485 | 0.384598 | ||||||||
\(725\) | 20.0000 | 0.742781 | ||||||||
\(726\) | 5.07321 | + | 11.0119i | 0.188285 | + | 0.408691i | ||||
\(727\) | −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 | ||||
\(730\) | −5.00000 | + | 8.66025i | −0.185058 | + | 0.320530i | ||||
\(731\) | 6.89898 | − | 11.9494i | 0.255168 | − | 0.441964i | ||||
\(732\) | −11.2980 | − | 1.04100i | −0.417585 | − | 0.0384764i | ||||
\(733\) | −8.72474 | − | 15.1117i | −0.322256 | − | 0.558163i | 0.658697 | − | 0.752408i | \(-0.271108\pi\) |
−0.980953 | + | 0.194245i | \(0.937774\pi\) | |||||||
\(734\) | −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 | ||||
\(738\) | 19.1010 | − | 22.3417i | 0.703118 | − | 0.822409i | ||||
\(739\) | −6.79796 | − | 11.7744i | −0.250067 | − | 0.433129i | 0.713477 | − | 0.700679i | \(-0.247119\pi\) |
−0.963544 | + | 0.267550i | \(0.913786\pi\) | |||||||
\(740\) | 17.1010 | 0.628646 | ||||||||
\(741\) | −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 | \(0.937072\pi\) | |||||||
\(744\) | −10.3485 | − | 0.953512i | −0.379393 | − | 0.0349574i | ||||
\(745\) | 4.34847 | − | 7.53177i | 0.159316 | − | 0.275943i | ||||
\(746\) | 3.44949 | + | 5.97469i | 0.126295 | + | 0.218749i | ||||
\(747\) | 2.00000 | + | 5.65685i | 0.0731762 | + | 0.206973i | ||||
\(748\) | −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 | 0.852932 | − | 0.522022i | \(-0.174822\pi\) |
−0.878550 | + | 0.477650i | \(0.841489\pi\) | |||||||
\(752\) | −9.79796 | −0.357295 | ||||||||
\(753\) | −30.0959 | − | 2.77305i | −1.09676 | − | 0.101056i | ||||
\(754\) | 33.7980 | 1.23085 | ||||||||
\(755\) | −7.24745 | −0.263762 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −35.3939 | −1.28641 | −0.643206 | − | 0.765693i | \(-0.722396\pi\) | ||||
−0.643206 | + | 0.765693i | \(0.722396\pi\) | |||||||
\(758\) | 22.4949 | 0.817051 | ||||||||
\(759\) | −3.44949 | − | 0.317837i | −0.125209 | − | 0.0115368i | ||||
\(760\) | −3.69694 | −0.134102 | ||||||||
\(761\) | 1.00000 | + | 1.73205i | 0.0362500 | + | 0.0627868i | 0.883581 | − | 0.468278i | \(-0.155125\pi\) |
−0.847331 | + | 0.531065i | \(0.821792\pi\) | |||||||
\(762\) | −5.17423 | − | 0.476756i | −0.187443 | − | 0.0172710i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 4.10102 | 0.148370 | ||||||||
\(765\) | 5.65153 | − | 6.61037i | 0.204332 | − | 0.238998i | ||||
\(766\) | −1.44949 | − | 2.51059i | −0.0523722 | − | 0.0907113i | ||||
\(767\) | 4.89898 | − | 8.48528i | 0.176892 | − | 0.306386i | ||||
\(768\) | 1.72474 | + | 0.158919i | 0.0622364 | + | 0.00573448i | ||||
\(769\) | −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 | ||||
\(772\) | −17.8990 | −0.644198 | ||||||||
\(773\) | 16.9722 | + | 29.3967i | 0.610447 | + | 1.05733i | 0.991165 | + | 0.132635i | \(0.0423437\pi\) |
−0.380718 | + | 0.924691i | \(0.624323\pi\) | |||||||
\(774\) | −6.89898 | − | 19.5133i | −0.247979 | − | 0.701390i | ||||
\(775\) | −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 | ||||
\(779\) | −12.4949 | − | 21.6418i | −0.447676 | − | 0.775398i | ||||
\(780\) | −12.2474 | − | 1.12848i | −0.438529 | − | 0.0404062i | ||||
\(781\) | −0.101021 | + | 0.174973i | −0.00361480 | + | 0.00626101i | ||||
\(782\) | −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 | ||||
\(786\) | −6.19694 | − | 13.4511i | −0.221037 | − | 0.479784i | ||||
\(787\) | 11.3939 | 0.406148 | 0.203074 | − | 0.979163i | \(-0.434907\pi\) | ||||
0.203074 | + | 0.979163i | \(0.434907\pi\) | |||||||
\(788\) | 16.6969 | 0.594804 | ||||||||
\(789\) | −25.8990 | + | 36.6267i | −0.922028 | + | 1.30394i | ||||
\(790\) | 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 | ||||
\(794\) | 19.3485 | − | 33.5125i | 0.686651 | − | 1.18932i | ||||
\(795\) | 15.7980 | − | 22.3417i | 0.560296 | − | 0.792378i | ||||
\(796\) | −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 | ||||
\(800\) | 1.44949 | − | 2.51059i | 0.0512472 | − | 0.0887628i | ||||
\(801\) | −32.9444 | + | 38.5337i | −1.16403 | + | 1.36152i | ||||
\(802\) | 9.94949 | + | 17.2330i | 0.351329 | + | 0.608519i | ||||
\(803\) | 13.7980 | 0.486919 | ||||||||
\(804\) | −22.2474 | − | 2.04989i | −0.784607 | − | 0.0722940i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −14.6969 | + | 25.4558i | −0.517678 | + | 0.896644i | ||||
\(807\) | −13.2980 | − | 28.8646i | −0.468110 | − | 1.01608i | ||||
\(808\) | −8.62372 | + | 14.9367i | −0.303382 | + | 0.525472i | ||||
\(809\) | 8.10102 | + | 14.0314i | 0.284817 | + | 0.493317i | 0.972565 | − | 0.232632i | \(-0.0747339\pi\) |
−0.687748 | + | 0.725950i | \(0.741401\pi\) | |||||||
\(810\) | −2.02781 | − | 12.8868i | −0.0712499 | − | 0.452797i | ||||
\(811\) | 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 | ||||
\(815\) | −28.6969 | −1.00521 | ||||||||
\(816\) | 1.44949 | + | 3.14626i | 0.0507423 | + | 0.110141i | ||||
\(817\) | −17.5959 | −0.615603 | ||||||||
\(818\) | 13.7980 | 0.482434 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −14.2020 | −0.495957 | ||||||||
\(821\) | 0.404082 | 0.0141026 | 0.00705128 | − | 0.999975i | \(-0.497755\pi\) | ||||
0.00705128 | + | 0.999975i | \(0.497755\pi\) | |||||||
\(822\) | −7.79796 | + | 11.0280i | −0.271985 | + | 0.384645i | ||||
\(823\) | −13.3939 | −0.466881 | −0.233441 | − | 0.972371i | \(-0.574998\pi\) | ||||
−0.233441 | + | 0.972371i | \(0.574998\pi\) | |||||||
\(824\) | 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 | \(0.718805\pi\) | |||||||
\(828\) | 1.00000 | + | 2.82843i | 0.0347524 | + | 0.0982946i | ||||
\(829\) | 0.651531 | + | 1.12848i | 0.0226286 | + | 0.0391939i | 0.877118 | − | 0.480275i | \(-0.159463\pi\) |
−0.854489 | + | 0.519469i | \(0.826130\pi\) | |||||||
\(830\) | 1.44949 | − | 2.51059i | 0.0503125 | − | 0.0871438i | ||||
\(831\) | 18.6969 | − | 26.4415i | 0.648590 | − | 0.917244i | ||||
\(832\) | 2.44949 | − | 4.24264i | 0.0849208 | − | 0.147087i | ||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 4.55051 | − | 6.43539i | 0.157571 | − | 0.222839i | ||||
\(835\) | 15.5051 | 0.536576 | ||||||||
\(836\) | 2.55051 | + | 4.41761i | 0.0882112 | + | 0.152786i | ||||
\(837\) | −30.0000 | − | 8.48528i | −1.03695 | − | 0.293294i | ||||
\(838\) | 14.7247 | − | 25.5040i | 0.508658 | − | 0.881021i | ||||
\(839\) | −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 | ||||
\(843\) | 13.7702 | + | 29.8895i | 0.474269 | + | 1.02945i | ||||
\(844\) | −6.44949 | + | 11.1708i | −0.222001 | + | 0.384516i | ||||
\(845\) | −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 | ||||
\(849\) | 43.8939 | + | 4.04440i | 1.50643 | + | 0.138803i | ||||
\(850\) | 5.79796 | 0.198868 | ||||||||
\(851\) | −11.7980 | −0.404429 | ||||||||
\(852\) | 0.174235 | + | 0.0160540i | 0.00596918 | + | 0.000550002i | ||||
\(853\) | 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 | ||||
\(856\) | 6.00000 | − | 10.3923i | 0.205076 | − | 0.355202i | ||||
\(857\) | −17.4495 | + | 30.2234i | −0.596063 | + | 1.03241i | 0.397333 | + | 0.917675i | \(0.369936\pi\) |
−0.993396 | + | 0.114737i | \(0.963397\pi\) | |||||||
\(858\) | 7.10102 | + | 15.4135i | 0.242425 | + | 0.526208i | ||||
\(859\) | −5.00000 | − | 8.66025i | −0.170598 | − | 0.295484i | 0.768031 | − | 0.640412i | \(-0.221237\pi\) |
−0.938629 | + | 0.344928i | \(0.887903\pi\) | |||||||
\(860\) | −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 | \(0.231581\pi\) | |||||||
\(864\) | 5.00000 | + | 1.41421i | 0.170103 | + | 0.0481125i | ||||
\(865\) | −2.24745 | − | 3.89270i | −0.0764155 | − | 0.132356i | ||||
\(866\) | 7.79796 | 0.264985 | ||||||||
\(867\) | 13.0000 | − | 18.3848i | 0.441503 | − | 0.624380i | ||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1.89898 | − | 3.28913i | 0.0644185 | − | 0.111576i | ||||
\(870\) | 10.0000 | − | 14.1421i | 0.339032 | − | 0.479463i | ||||
\(871\) | −31.5959 | + | 54.7257i | −1.07059 | + | 1.85431i | ||||
\(872\) | −6.34847 | − | 10.9959i | −0.214986 | − | 0.372367i | ||||
\(873\) | 2.89898 | + | 8.19955i | 0.0981156 | + | 0.277513i | ||||
\(874\) | 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 | 0.611233 | − | 0.791450i | \(-0.290674\pi\) |
−0.991033 | + | 0.133619i | \(0.957340\pi\) | |||||||
\(878\) | −2.20204 | −0.0743153 | ||||||||
\(879\) | 2.75255 | − | 3.89270i | 0.0928413 | − | 0.131297i | ||||
\(880\) | 2.89898 | 0.0977246 | ||||||||
\(881\) | −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 | \(0.608104\pi\) | |||||||
\(884\) | 9.79796 | 0.329541 | ||||||||
\(885\) | −2.10102 | − | 4.56048i | −0.0706250 | − | 0.153299i | ||||
\(886\) | −14.8990 | −0.500541 | ||||||||
\(887\) | −7.10102 | − | 12.2993i | −0.238429 | − | 0.412971i | 0.721835 | − | 0.692065i | \(-0.243299\pi\) |
−0.960264 | + | 0.279094i | \(0.909966\pi\) | |||||||
\(888\) | −11.7980 | + | 16.6848i | −0.395914 | + | 0.559906i | ||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 24.4949 | 0.821071 | ||||||||
\(891\) | −14.0000 | + | 11.3137i | −0.469018 | + | 0.379023i | ||||
\(892\) | −5.55051 | − | 9.61377i | −0.185845 | − | 0.321893i | ||||
\(893\) | −12.4949 | + | 21.6418i | −0.418126 | + | 0.724215i | ||||
\(894\) | 4.34847 | + | 9.43879i | 0.145435 | + | 0.315680i | ||||
\(895\) | −15.0000 | + | 25.9808i | −0.501395 | + | 0.868441i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 8.44949 | + | 0.778539i | 0.282120 | + | 0.0259947i | ||||
\(898\) | 20.5959 | 0.687295 | ||||||||
\(899\) | −20.6969 | − | 35.8481i | −0.690282 | − | 1.19560i | ||||
\(900\) | 5.65153 | − | 6.61037i | 0.188384 | − | 0.220346i | ||||
\(901\) | −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 | ||||
\(905\) | −7.50000 | − | 12.9904i | −0.249308 | − | 0.431815i | ||||
\(906\) | 5.00000 | − | 7.07107i | 0.166114 | − | 0.234920i | ||||
\(907\) | −1.34847 | + | 2.33562i | −0.0447752 | + | 0.0775529i | −0.887544 | − | 0.460722i | \(-0.847590\pi\) |
0.842769 | + | 0.538275i | \(0.180924\pi\) | |||||||
\(908\) | −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 | −0.870724 | − | 0.491773i | \(-0.836349\pi\) |
0.00947432 | − | 0.999955i | \(-0.496984\pi\) | |||||||
\(912\) | 2.55051 | − | 3.60697i | 0.0844558 | − | 0.119439i | ||||
\(913\) | −4.00000 | −0.132381 | ||||||||
\(914\) | −17.4949 | −0.578680 | ||||||||
\(915\) | 6.88138 | + | 14.9367i | 0.227491 | + | 0.493793i | ||||
\(916\) | 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 | \(0.0273514\pi\) | |||||||
\(920\) | 0.724745 | − | 1.25529i | 0.0238941 | − | 0.0413858i | ||||
\(921\) | −43.5454 | − | 4.01229i | −1.43487 | − | 0.132209i | ||||
\(922\) | 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 | ||||
\(926\) | −1.84847 | + | 3.20164i | −0.0607445 | + | 0.105213i | ||||
\(927\) | 14.0000 | + | 39.5980i | 0.459820 | + | 1.30057i | ||||
\(928\) | 3.44949 | + | 5.97469i | 0.113235 | + | 0.196129i | ||||
\(929\) | −34.2929 | −1.12511 | −0.562556 | − | 0.826759i | \(-0.690182\pi\) | ||||
−0.562556 | + | 0.826759i | \(0.690182\pi\) | |||||||
\(930\) | 6.30306 | + | 13.6814i | 0.206686 | + | 0.448632i | ||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 3.50000 | − | 6.06218i | 0.114646 | − | 0.198573i | ||||
\(933\) | −52.9444 | − | 4.87832i | −1.73332 | − | 0.159709i | ||||
\(934\) | 5.00000 | − | 8.66025i | 0.163605 | − | 0.283372i | ||||
\(935\) | 2.89898 | + | 5.02118i | 0.0948068 | + | 0.164210i | ||||
\(936\) | 9.55051 | − | 11.1708i | 0.312168 | − | 0.365130i | ||||
\(937\) | −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 | ||||
\(941\) | 1.44949 | 0.0472520 | 0.0236260 | − | 0.999721i | \(-0.492479\pi\) | ||||
0.0236260 | + | 0.999721i | \(0.492479\pi\) | |||||||
\(942\) | 14.3990 | + | 1.32673i | 0.469144 | + | 0.0432271i | ||||
\(943\) | 9.79796 | 0.319065 | ||||||||
\(944\) | 2.00000 | 0.0650945 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 13.7980 | 0.448610 | ||||||||
\(947\) | 52.4949 | 1.70585 | 0.852927 | − | 0.522029i | \(-0.174825\pi\) | ||||
0.852927 | + | 0.522029i | \(0.174825\pi\) | |||||||
\(948\) | −3.27526 | − | 0.301783i | −0.106375 | − | 0.00980146i | ||||
\(949\) | −33.7980 | −1.09713 | ||||||||
\(950\) | −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 | \(0.517506\pi\) | |||||||
\(954\) | 10.8990 | + | 30.8270i | 0.352867 | + | 0.998060i | ||||
\(955\) | −2.97219 | − | 5.14799i | −0.0961779 | − | 0.166585i | ||||
\(956\) | −3.39898 | + | 5.88721i | −0.109931 | + | 0.190406i | ||||
\(957\) | −23.7980 | − | 2.19275i | −0.769279 | − | 0.0708816i | ||||
\(958\) | 4.79796 | − | 8.31031i | 0.155015 | − | 0.268494i | ||||
\(959\) | 0 | 0 | ||||||||
\(960\) | −1.05051 | − | 2.28024i | −0.0339051 | − | 0.0735944i | ||||
\(961\) | 5.00000 | 0.161290 | ||||||||
\(962\) | 28.8990 | + | 50.0545i | 0.931740 | + | 1.61382i | ||||
\(963\) | 23.3939 | − | 27.3629i | 0.753857 | − | 0.881756i | ||||
\(964\) | 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 | −0.993162 | − | 0.116746i | \(-0.962754\pi\) |
0.597686 | + | 0.801730i | \(0.296087\pi\) | |||||||
\(968\) | 3.50000 | + | 6.06218i | 0.112494 | + | 0.194846i | ||||
\(969\) | 8.79796 | + | 0.810647i | 0.282631 | + | 0.0260417i | ||||
\(970\) | 2.10102 | − | 3.63907i | 0.0674597 | − | 0.116844i | ||||
\(971\) | −0.0278064 | + | 0.0481621i | −0.000892350 | + | 0.00154560i | −0.866471 | − | 0.499227i | \(-0.833617\pi\) |
0.865579 | + | 0.500773i | \(0.166951\pi\) | |||||||
\(972\) | 13.9722 | + | 6.91215i | 0.448158 | + | 0.221707i | ||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 18.1969 | + | 31.5180i | 0.583068 | + | 1.00990i | ||||
\(975\) | −10.2929 | − | 22.3417i | −0.329635 | − | 0.715507i | ||||
\(976\) | −6.55051 | −0.209677 | ||||||||
\(977\) | −37.5959 | −1.20280 | −0.601400 | − | 0.798948i | \(-0.705390\pi\) | ||||
−0.601400 | + | 0.798948i | \(0.705390\pi\) | |||||||
\(978\) | 19.7980 | − | 27.9985i | 0.633069 | − | 0.895295i | ||||
\(979\) | −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 | ||||
\(983\) | −16.5959 | + | 28.7450i | −0.529328 | + | 0.916822i | 0.470087 | + | 0.882620i | \(0.344222\pi\) |
−0.999415 | + | 0.0342024i | \(0.989111\pi\) | |||||||
\(984\) | 9.79796 | − | 13.8564i | 0.312348 | − | 0.441726i | ||||
\(985\) | −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 | ||||
\(989\) | 3.44949 | − | 5.97469i | 0.109687 | − | 0.189984i | ||||
\(990\) | 8.55051 | + | 1.58919i | 0.271753 | + | 0.0505077i | ||||
\(991\) | 0.898979 | + | 1.55708i | 0.0285570 | + | 0.0494622i | 0.879951 | − | 0.475065i | \(-0.157575\pi\) |
−0.851394 | + | 0.524527i | \(0.824242\pi\) | |||||||
\(992\) | −6.00000 | −0.190500 | ||||||||
\(993\) | 8.10102 | + | 0.746431i | 0.257078 | + | 0.0236873i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −2.10102 | + | 3.63907i | −0.0666068 | + | 0.115366i | ||||
\(996\) | 1.44949 | + | 3.14626i | 0.0459288 | + | 0.0996932i | ||||
\(997\) | 26.0732 | − | 45.1601i | 0.825747 | − | 1.43024i | −0.0756001 | − | 0.997138i | \(-0.524087\pi\) |
0.901347 | − | 0.433097i | \(-0.142579\pi\) | |||||||
\(998\) | 12.6969 | + | 21.9917i | 0.401915 | + | 0.696136i | ||||
\(999\) | −43.9444 | + | 42.7442i | −1.39034 | + | 1.35237i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))