Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1053,2,Mod(352,1053)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1053, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1053.352");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1053 = 3^{4} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1053.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: | \(8.40824733284\) |
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: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 39) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 352.1 | ||
Root | \(-0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1053.352 |
Dual form | 1053.2.e.m.703.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1053\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(730\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.207107 | − | 0.358719i | −0.146447 | − | 0.253653i | 0.783465 | − | 0.621436i | \(-0.213450\pi\) |
−0.929912 | + | 0.367783i | \(0.880117\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.914214 | − | 1.58346i | 0.457107 | − | 0.791732i | ||||
\(5\) | 1.41421 | − | 2.44949i | 0.632456 | − | 1.09545i | −0.354593 | − | 0.935021i | \(-0.615380\pi\) |
0.987048 | − | 0.160424i | \(-0.0512862\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.41421 | − | 2.44949i | −0.534522 | − | 0.925820i | −0.999186 | − | 0.0403329i | \(-0.987158\pi\) |
0.464664 | − | 0.885487i | \(-0.346175\pi\) | |||||||
\(8\) | −1.58579 | −0.560660 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −1.17157 | −0.370484 | ||||||||
\(11\) | 1.00000 | + | 1.73205i | 0.301511 | + | 0.522233i | 0.976478 | − | 0.215615i | \(-0.0691756\pi\) |
−0.674967 | + | 0.737848i | \(0.735842\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.500000 | − | 0.866025i | 0.138675 | − | 0.240192i | ||||
\(14\) | −0.585786 | + | 1.01461i | −0.156558 | + | 0.271166i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.50000 | − | 2.59808i | −0.375000 | − | 0.649519i | ||||
\(17\) | 7.65685 | 1.85706 | 0.928530 | − | 0.371257i | \(-0.121073\pi\) | ||||
0.928530 | + | 0.371257i | \(0.121073\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.82843 | −0.648886 | −0.324443 | − | 0.945905i | \(-0.605177\pi\) | ||||
−0.324443 | + | 0.945905i | \(0.605177\pi\) | |||||||
\(20\) | −2.58579 | − | 4.47871i | −0.578199 | − | 1.00147i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.414214 | − | 0.717439i | 0.0883106 | − | 0.152958i | ||||
\(23\) | 2.00000 | − | 3.46410i | 0.417029 | − | 0.722315i | −0.578610 | − | 0.815604i | \(-0.696405\pi\) |
0.995639 | + | 0.0932891i | \(0.0297381\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.50000 | − | 2.59808i | −0.300000 | − | 0.519615i | ||||
\(26\) | −0.414214 | −0.0812340 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.17157 | −0.977335 | ||||||||
\(29\) | −1.00000 | − | 1.73205i | −0.185695 | − | 0.321634i | 0.758115 | − | 0.652121i | \(-0.226120\pi\) |
−0.943811 | + | 0.330487i | \(0.892787\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.585786 | − | 1.01461i | 0.105210 | − | 0.182230i | −0.808614 | − | 0.588340i | \(-0.799782\pi\) |
0.913824 | + | 0.406110i | \(0.133115\pi\) | |||||||
\(32\) | −2.20711 | + | 3.82282i | −0.390165 | + | 0.675786i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.58579 | − | 2.74666i | −0.271960 | − | 0.471049i | ||||
\(35\) | −8.00000 | −1.35225 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −7.65685 | −1.25878 | −0.629390 | − | 0.777090i | \(-0.716695\pi\) | ||||
−0.629390 | + | 0.777090i | \(0.716695\pi\) | |||||||
\(38\) | 0.585786 | + | 1.01461i | 0.0950271 | + | 0.164592i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.24264 | + | 3.88437i | −0.354593 | + | 0.614172i | ||||
\(41\) | −2.58579 | + | 4.47871i | −0.403832 | + | 0.699458i | −0.994185 | − | 0.107688i | \(-0.965655\pi\) |
0.590353 | + | 0.807145i | \(0.298989\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.828427 | + | 1.43488i | 0.126334 | + | 0.218817i | 0.922254 | − | 0.386585i | \(-0.126346\pi\) |
−0.795920 | + | 0.605402i | \(0.793012\pi\) | |||||||
\(44\) | 3.65685 | 0.551292 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.65685 | −0.244290 | ||||||||
\(47\) | 5.82843 | + | 10.0951i | 0.850163 | + | 1.47253i | 0.881060 | + | 0.473004i | \(0.156830\pi\) |
−0.0308969 | + | 0.999523i | \(0.509836\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.500000 | + | 0.866025i | −0.0714286 | + | 0.123718i | ||||
\(50\) | −0.621320 | + | 1.07616i | −0.0878680 | + | 0.152192i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.914214 | − | 1.58346i | −0.126779 | − | 0.219587i | ||||
\(53\) | −2.00000 | −0.274721 | −0.137361 | − | 0.990521i | \(-0.543862\pi\) | ||||
−0.137361 | + | 0.990521i | \(0.543862\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.65685 | 0.762770 | ||||||||
\(56\) | 2.24264 | + | 3.88437i | 0.299685 | + | 0.519070i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.414214 | + | 0.717439i | −0.0543889 | + | 0.0942043i | ||||
\(59\) | −3.82843 | + | 6.63103i | −0.498419 | + | 0.863287i | −0.999998 | − | 0.00182490i | \(-0.999419\pi\) |
0.501580 | + | 0.865112i | \(0.332752\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.65685 | − | 11.5300i | −0.852323 | − | 1.47627i | −0.879107 | − | 0.476625i | \(-0.841860\pi\) |
0.0267837 | − | 0.999641i | \(-0.491473\pi\) | |||||||
\(62\) | −0.485281 | −0.0616308 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −4.17157 | −0.521447 | ||||||||
\(65\) | −1.41421 | − | 2.44949i | −0.175412 | − | 0.303822i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.41421 | + | 5.91359i | −0.417113 | + | 0.722460i | −0.995648 | − | 0.0931973i | \(-0.970291\pi\) |
0.578535 | + | 0.815657i | \(0.303625\pi\) | |||||||
\(68\) | 7.00000 | − | 12.1244i | 0.848875 | − | 1.47029i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.65685 | + | 2.86976i | 0.198032 | + | 0.343001i | ||||
\(71\) | 2.00000 | 0.237356 | 0.118678 | − | 0.992933i | \(-0.462134\pi\) | ||||
0.118678 | + | 0.992933i | \(0.462134\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 0.343146 | 0.0401622 | 0.0200811 | − | 0.999798i | \(-0.493608\pi\) | ||||
0.0200811 | + | 0.999798i | \(0.493608\pi\) | |||||||
\(74\) | 1.58579 | + | 2.74666i | 0.184344 | + | 0.319293i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.58579 | + | 4.47871i | −0.296610 | + | 0.513744i | ||||
\(77\) | 2.82843 | − | 4.89898i | 0.322329 | − | 0.558291i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 5.65685 | + | 9.79796i | 0.636446 | + | 1.10236i | 0.986207 | + | 0.165518i | \(0.0529295\pi\) |
−0.349761 | + | 0.936839i | \(0.613737\pi\) | |||||||
\(80\) | −8.48528 | −0.948683 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 2.14214 | 0.236559 | ||||||||
\(83\) | −1.82843 | − | 3.16693i | −0.200696 | − | 0.347616i | 0.748057 | − | 0.663635i | \(-0.230987\pi\) |
−0.948753 | + | 0.316019i | \(0.897654\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 10.8284 | − | 18.7554i | 1.17451 | − | 2.03431i | ||||
\(86\) | 0.343146 | − | 0.594346i | 0.0370024 | − | 0.0640900i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.58579 | − | 2.74666i | −0.169045 | − | 0.292795i | ||||
\(89\) | 14.8284 | 1.57181 | 0.785905 | − | 0.618347i | \(-0.212197\pi\) | ||||
0.785905 | + | 0.618347i | \(0.212197\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −2.82843 | −0.296500 | ||||||||
\(92\) | −3.65685 | − | 6.33386i | −0.381253 | − | 0.660350i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 2.41421 | − | 4.18154i | 0.249007 | − | 0.431293i | ||||
\(95\) | −4.00000 | + | 6.92820i | −0.410391 | + | 0.710819i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −1.82843 | − | 3.16693i | −0.185649 | − | 0.321553i | 0.758146 | − | 0.652085i | \(-0.226105\pi\) |
−0.943795 | + | 0.330532i | \(0.892772\pi\) | |||||||
\(98\) | 0.414214 | 0.0418419 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −5.48528 | −0.548528 | ||||||||
\(101\) | −3.82843 | − | 6.63103i | −0.380943 | − | 0.659812i | 0.610255 | − | 0.792205i | \(-0.291067\pi\) |
−0.991197 | + | 0.132393i | \(0.957734\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.17157 | + | 2.02922i | −0.115439 | + | 0.199945i | −0.917955 | − | 0.396685i | \(-0.870161\pi\) |
0.802516 | + | 0.596630i | \(0.203494\pi\) | |||||||
\(104\) | −0.792893 | + | 1.37333i | −0.0777496 | + | 0.134666i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.414214 | + | 0.717439i | 0.0402320 | + | 0.0696838i | ||||
\(107\) | −11.3137 | −1.09374 | −0.546869 | − | 0.837218i | \(-0.684180\pi\) | ||||
−0.546869 | + | 0.837218i | \(0.684180\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 5.31371 | 0.508961 | 0.254480 | − | 0.967078i | \(-0.418096\pi\) | ||||
0.254480 | + | 0.967078i | \(0.418096\pi\) | |||||||
\(110\) | −1.17157 | − | 2.02922i | −0.111705 | − | 0.193479i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −4.24264 | + | 7.34847i | −0.400892 | + | 0.694365i | ||||
\(113\) | 2.65685 | − | 4.60181i | 0.249936 | − | 0.432902i | −0.713572 | − | 0.700582i | \(-0.752924\pi\) |
0.963508 | + | 0.267680i | \(0.0862571\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −5.65685 | − | 9.79796i | −0.527504 | − | 0.913664i | ||||
\(116\) | −3.65685 | −0.339530 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 3.17157 | 0.291967 | ||||||||
\(119\) | −10.8284 | − | 18.7554i | −0.992640 | − | 1.71930i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 3.50000 | − | 6.06218i | 0.318182 | − | 0.551107i | ||||
\(122\) | −2.75736 | + | 4.77589i | −0.249640 | + | 0.432388i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −1.07107 | − | 1.85514i | −0.0961847 | − | 0.166597i | ||||
\(125\) | 5.65685 | 0.505964 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.65685 | 0.501965 | 0.250982 | − | 0.967992i | \(-0.419246\pi\) | ||||
0.250982 | + | 0.967992i | \(0.419246\pi\) | |||||||
\(128\) | 5.27817 | + | 9.14207i | 0.466529 | + | 0.808052i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −0.585786 | + | 1.01461i | −0.0513769 | + | 0.0889873i | ||||
\(131\) | 4.00000 | − | 6.92820i | 0.349482 | − | 0.605320i | −0.636676 | − | 0.771132i | \(-0.719691\pi\) |
0.986157 | + | 0.165812i | \(0.0530244\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.00000 | + | 6.92820i | 0.346844 | + | 0.600751i | ||||
\(134\) | 2.82843 | 0.244339 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −12.1421 | −1.04118 | ||||||||
\(137\) | 5.41421 | + | 9.37769i | 0.462567 | + | 0.801190i | 0.999088 | − | 0.0426968i | \(-0.0135950\pi\) |
−0.536521 | + | 0.843887i | \(0.680262\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.65685 | − | 6.33386i | 0.310170 | − | 0.537231i | −0.668229 | − | 0.743956i | \(-0.732947\pi\) |
0.978399 | + | 0.206725i | \(0.0662806\pi\) | |||||||
\(140\) | −7.31371 | + | 12.6677i | −0.618121 | + | 1.07062i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −0.414214 | − | 0.717439i | −0.0347600 | − | 0.0602061i | ||||
\(143\) | 2.00000 | 0.167248 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −5.65685 | −0.469776 | ||||||||
\(146\) | −0.0710678 | − | 0.123093i | −0.00588161 | − | 0.0101873i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −7.00000 | + | 12.1244i | −0.575396 | + | 0.996616i | ||||
\(149\) | 4.58579 | − | 7.94282i | 0.375682 | − | 0.650701i | −0.614747 | − | 0.788725i | \(-0.710742\pi\) |
0.990429 | + | 0.138024i | \(0.0440751\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.75736 | + | 3.04384i | 0.143012 | + | 0.247704i | 0.928629 | − | 0.371009i | \(-0.120988\pi\) |
−0.785618 | + | 0.618712i | \(0.787655\pi\) | |||||||
\(152\) | 4.48528 | 0.363804 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.34315 | −0.188816 | ||||||||
\(155\) | −1.65685 | − | 2.86976i | −0.133082 | − | 0.230504i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 5.00000 | − | 8.66025i | 0.399043 | − | 0.691164i | −0.594565 | − | 0.804048i | \(-0.702676\pi\) |
0.993608 | + | 0.112884i | \(0.0360089\pi\) | |||||||
\(158\) | 2.34315 | − | 4.05845i | 0.186411 | − | 0.322873i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 6.24264 | + | 10.8126i | 0.493524 | + | 0.854809i | ||||
\(161\) | −11.3137 | −0.891645 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 18.8284 | 1.47476 | 0.737378 | − | 0.675480i | \(-0.236064\pi\) | ||||
0.737378 | + | 0.675480i | \(0.236064\pi\) | |||||||
\(164\) | 4.72792 | + | 8.18900i | 0.369189 | + | 0.639454i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.757359 | + | 1.31178i | −0.0587825 | + | 0.101814i | ||||
\(167\) | 1.82843 | − | 3.16693i | 0.141488 | − | 0.245064i | −0.786569 | − | 0.617502i | \(-0.788145\pi\) |
0.928057 | + | 0.372438i | \(0.121478\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.500000 | − | 0.866025i | −0.0384615 | − | 0.0666173i | ||||
\(170\) | −8.97056 | −0.688011 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3.02944 | 0.230992 | ||||||||
\(173\) | 5.82843 | + | 10.0951i | 0.443127 | + | 0.767519i | 0.997920 | − | 0.0644701i | \(-0.0205357\pi\) |
−0.554793 | + | 0.831989i | \(0.687202\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.24264 | + | 7.34847i | −0.320713 | + | 0.555492i | ||||
\(176\) | 3.00000 | − | 5.19615i | 0.226134 | − | 0.391675i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −3.07107 | − | 5.31925i | −0.230186 | − | 0.398694i | ||||
\(179\) | −23.3137 | −1.74255 | −0.871274 | − | 0.490797i | \(-0.836706\pi\) | ||||
−0.871274 | + | 0.490797i | \(0.836706\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 14.0000 | 1.04061 | 0.520306 | − | 0.853980i | \(-0.325818\pi\) | ||||
0.520306 | + | 0.853980i | \(0.325818\pi\) | |||||||
\(182\) | 0.585786 | + | 1.01461i | 0.0434214 | + | 0.0752080i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.17157 | + | 5.49333i | −0.233811 | + | 0.404973i | ||||
\(185\) | −10.8284 | + | 18.7554i | −0.796122 | + | 1.37892i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 7.65685 | + | 13.2621i | 0.559925 | + | 0.969818i | ||||
\(188\) | 21.3137 | 1.55446 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 3.31371 | 0.240402 | ||||||||
\(191\) | −1.65685 | − | 2.86976i | −0.119886 | − | 0.207648i | 0.799836 | − | 0.600218i | \(-0.204919\pi\) |
−0.919722 | + | 0.392570i | \(0.871586\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.65685 | + | 4.60181i | −0.191245 | + | 0.331245i | −0.945663 | − | 0.325149i | \(-0.894586\pi\) |
0.754418 | + | 0.656394i | \(0.227919\pi\) | |||||||
\(194\) | −0.757359 | + | 1.31178i | −0.0543752 | + | 0.0941807i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.914214 | + | 1.58346i | 0.0653010 | + | 0.113105i | ||||
\(197\) | 0.485281 | 0.0345749 | 0.0172874 | − | 0.999851i | \(-0.494497\pi\) | ||||
0.0172874 | + | 0.999851i | \(0.494497\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 21.6569 | 1.53521 | 0.767607 | − | 0.640921i | \(-0.221447\pi\) | ||||
0.767607 | + | 0.640921i | \(0.221447\pi\) | |||||||
\(200\) | 2.37868 | + | 4.11999i | 0.168198 | + | 0.291328i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.58579 | + | 2.74666i | −0.111576 | + | 0.193255i | ||||
\(203\) | −2.82843 | + | 4.89898i | −0.198517 | + | 0.343841i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.31371 | + | 12.6677i | 0.510812 | + | 0.884752i | ||||
\(206\) | 0.970563 | 0.0676223 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.00000 | −0.208013 | ||||||||
\(209\) | −2.82843 | − | 4.89898i | −0.195646 | − | 0.338869i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.00000 | − | 10.3923i | 0.413057 | − | 0.715436i | −0.582165 | − | 0.813070i | \(-0.697794\pi\) |
0.995222 | + | 0.0976347i | \(0.0311277\pi\) | |||||||
\(212\) | −1.82843 | + | 3.16693i | −0.125577 | + | 0.217506i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.34315 | + | 4.05845i | 0.160174 | + | 0.277430i | ||||
\(215\) | 4.68629 | 0.319602 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.31371 | −0.224949 | ||||||||
\(218\) | −1.10051 | − | 1.90613i | −0.0745356 | − | 0.129099i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.17157 | − | 8.95743i | 0.348667 | − | 0.603910i | ||||
\(221\) | 3.82843 | − | 6.63103i | 0.257528 | − | 0.446051i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.24264 | + | 10.8126i | 0.418038 | + | 0.724063i | 0.995742 | − | 0.0921831i | \(-0.0293845\pi\) |
−0.577704 | + | 0.816246i | \(0.696051\pi\) | |||||||
\(224\) | 12.4853 | 0.834208 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.20101 | −0.146409 | ||||||||
\(227\) | 8.65685 | + | 14.9941i | 0.574576 | + | 0.995194i | 0.996088 | + | 0.0883713i | \(0.0281662\pi\) |
−0.421512 | + | 0.906823i | \(0.638500\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.656854 | − | 1.13770i | 0.0434062 | − | 0.0751817i | −0.843506 | − | 0.537120i | \(-0.819512\pi\) |
0.886912 | + | 0.461938i | \(0.152846\pi\) | |||||||
\(230\) | −2.34315 | + | 4.05845i | −0.154502 | + | 0.267606i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.58579 | + | 2.74666i | 0.104112 | + | 0.180327i | ||||
\(233\) | 6.97056 | 0.456657 | 0.228328 | − | 0.973584i | \(-0.426674\pi\) | ||||
0.228328 | + | 0.973584i | \(0.426674\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 32.9706 | 2.15076 | ||||||||
\(236\) | 7.00000 | + | 12.1244i | 0.455661 | + | 0.789228i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −4.48528 | + | 7.76874i | −0.290738 | + | 0.503572i | ||||
\(239\) | −1.00000 | + | 1.73205i | −0.0646846 | + | 0.112037i | −0.896554 | − | 0.442934i | \(-0.853937\pi\) |
0.831869 | + | 0.554971i | \(0.187271\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.171573 | − | 0.297173i | −0.0110520 | − | 0.0191426i | 0.860447 | − | 0.509541i | \(-0.170185\pi\) |
−0.871499 | + | 0.490398i | \(0.836851\pi\) | |||||||
\(242\) | −2.89949 | −0.186387 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −24.3431 | −1.55841 | ||||||||
\(245\) | 1.41421 | + | 2.44949i | 0.0903508 | + | 0.156492i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −1.41421 | + | 2.44949i | −0.0899843 | + | 0.155857i | ||||
\(248\) | −0.928932 | + | 1.60896i | −0.0589873 | + | 0.102169i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −1.17157 | − | 2.02922i | −0.0740968 | − | 0.128339i | ||||
\(251\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 8.00000 | 0.502956 | ||||||||
\(254\) | −1.17157 | − | 2.02922i | −0.0735110 | − | 0.127325i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −1.98528 | + | 3.43861i | −0.124080 | + | 0.214913i | ||||
\(257\) | 2.17157 | − | 3.76127i | 0.135459 | − | 0.234622i | −0.790314 | − | 0.612702i | \(-0.790082\pi\) |
0.925773 | + | 0.378081i | \(0.123416\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 10.8284 | + | 18.7554i | 0.672846 | + | 1.16540i | ||||
\(260\) | −5.17157 | −0.320727 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.31371 | −0.204722 | ||||||||
\(263\) | −6.00000 | − | 10.3923i | −0.369976 | − | 0.640817i | 0.619586 | − | 0.784929i | \(-0.287301\pi\) |
−0.989561 | + | 0.144112i | \(0.953967\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −2.82843 | + | 4.89898i | −0.173749 | + | 0.300942i | ||||
\(266\) | 1.65685 | − | 2.86976i | 0.101588 | − | 0.175956i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 6.24264 | + | 10.8126i | 0.381330 | + | 0.660483i | ||||
\(269\) | 18.0000 | 1.09748 | 0.548740 | − | 0.835993i | \(-0.315108\pi\) | ||||
0.548740 | + | 0.835993i | \(0.315108\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −27.7990 | −1.68867 | −0.844334 | − | 0.535817i | \(-0.820004\pi\) | ||||
−0.844334 | + | 0.535817i | \(0.820004\pi\) | |||||||
\(272\) | −11.4853 | − | 19.8931i | −0.696397 | − | 1.20620i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 2.24264 | − | 3.88437i | 0.135483 | − | 0.234663i | ||||
\(275\) | 3.00000 | − | 5.19615i | 0.180907 | − | 0.313340i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.00000 | + | 1.73205i | 0.0600842 | + | 0.104069i | 0.894503 | − | 0.447062i | \(-0.147530\pi\) |
−0.834419 | + | 0.551131i | \(0.814196\pi\) | |||||||
\(278\) | −3.02944 | −0.181694 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 12.6863 | 0.758151 | ||||||||
\(281\) | −10.5858 | − | 18.3351i | −0.631495 | − | 1.09378i | −0.987246 | − | 0.159201i | \(-0.949108\pi\) |
0.355751 | − | 0.934581i | \(-0.384225\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.4853 | + | 25.0892i | −0.861061 | + | 1.49140i | 0.00984565 | + | 0.999952i | \(0.496866\pi\) |
−0.870906 | + | 0.491449i | \(0.836467\pi\) | |||||||
\(284\) | 1.82843 | − | 3.16693i | 0.108497 | − | 0.187923i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.414214 | − | 0.717439i | −0.0244930 | − | 0.0424231i | ||||
\(287\) | 14.6274 | 0.863429 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 41.6274 | 2.44867 | ||||||||
\(290\) | 1.17157 | + | 2.02922i | 0.0687971 | + | 0.119160i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.313708 | − | 0.543359i | 0.0183584 | − | 0.0317977i | ||||
\(293\) | −1.07107 | + | 1.85514i | −0.0625724 | + | 0.108379i | −0.895615 | − | 0.444831i | \(-0.853264\pi\) |
0.833042 | + | 0.553210i | \(0.186597\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.8284 | + | 18.7554i | 0.630455 | + | 1.09198i | ||||
\(296\) | 12.1421 | 0.705747 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −3.79899 | −0.220070 | ||||||||
\(299\) | −2.00000 | − | 3.46410i | −0.115663 | − | 0.200334i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 2.34315 | − | 4.05845i | 0.135057 | − | 0.233925i | ||||
\(302\) | 0.727922 | − | 1.26080i | 0.0418872 | − | 0.0725508i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 4.24264 | + | 7.34847i | 0.243332 | + | 0.421464i | ||||
\(305\) | −37.6569 | −2.15623 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −22.8284 | −1.30289 | −0.651444 | − | 0.758697i | \(-0.725836\pi\) | ||||
−0.651444 | + | 0.758697i | \(0.725836\pi\) | |||||||
\(308\) | −5.17157 | − | 8.95743i | −0.294678 | − | 0.510397i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.686292 | + | 1.18869i | −0.0389787 | + | 0.0675132i | ||||
\(311\) | 5.31371 | − | 9.20361i | 0.301313 | − | 0.521889i | −0.675121 | − | 0.737707i | \(-0.735909\pi\) |
0.976434 | + | 0.215818i | \(0.0692418\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.00000 | − | 5.19615i | −0.169570 | − | 0.293704i | 0.768699 | − | 0.639611i | \(-0.220905\pi\) |
−0.938269 | + | 0.345907i | \(0.887571\pi\) | |||||||
\(314\) | −4.14214 | −0.233754 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 20.6863 | 1.16369 | ||||||||
\(317\) | −4.24264 | − | 7.34847i | −0.238290 | − | 0.412731i | 0.721933 | − | 0.691963i | \(-0.243254\pi\) |
−0.960224 | + | 0.279231i | \(0.909920\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.00000 | − | 3.46410i | 0.111979 | − | 0.193952i | ||||
\(320\) | −5.89949 | + | 10.2182i | −0.329792 | + | 0.571216i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 2.34315 | + | 4.05845i | 0.130578 | + | 0.226168i | ||||
\(323\) | −21.6569 | −1.20502 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −3.00000 | −0.166410 | ||||||||
\(326\) | −3.89949 | − | 6.75412i | −0.215973 | − | 0.374076i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.10051 | − | 7.10228i | 0.226413 | − | 0.392158i | ||||
\(329\) | 16.4853 | − | 28.5533i | 0.908863 | − | 1.57420i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −13.0711 | − | 22.6398i | −0.718451 | − | 1.24439i | −0.961613 | − | 0.274408i | \(-0.911518\pi\) |
0.243163 | − | 0.969986i | \(-0.421815\pi\) | |||||||
\(332\) | −6.68629 | −0.366958 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −1.51472 | −0.0828817 | ||||||||
\(335\) | 9.65685 | + | 16.7262i | 0.527610 | + | 0.913848i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4.65685 | + | 8.06591i | −0.253675 | + | 0.439378i | −0.964535 | − | 0.263956i | \(-0.914973\pi\) |
0.710860 | + | 0.703334i | \(0.248306\pi\) | |||||||
\(338\) | −0.207107 | + | 0.358719i | −0.0112651 | + | 0.0195118i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −19.7990 | − | 34.2929i | −1.07375 | − | 1.85979i | ||||
\(341\) | 2.34315 | 0.126888 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.9706 | −0.916324 | ||||||||
\(344\) | −1.31371 | − | 2.27541i | −0.0708304 | − | 0.122682i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.41421 | − | 4.18154i | 0.129789 | − | 0.224801i | ||||
\(347\) | 4.34315 | − | 7.52255i | 0.233152 | − | 0.403832i | −0.725582 | − | 0.688136i | \(-0.758429\pi\) |
0.958734 | + | 0.284304i | \(0.0917626\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.82843 | − | 3.16693i | −0.0978735 | − | 0.169522i | 0.812931 | − | 0.582360i | \(-0.197871\pi\) |
−0.910804 | + | 0.412839i | \(0.864537\pi\) | |||||||
\(350\) | 3.51472 | 0.187870 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.82843 | −0.470557 | ||||||||
\(353\) | 16.7279 | + | 28.9736i | 0.890337 | + | 1.54211i | 0.839471 | + | 0.543404i | \(0.182865\pi\) |
0.0508663 | + | 0.998705i | \(0.483802\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.82843 | − | 4.89898i | 0.150117 | − | 0.260011i | ||||
\(356\) | 13.5563 | − | 23.4803i | 0.718485 | − | 1.24445i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 4.82843 | + | 8.36308i | 0.255190 | + | 0.442003i | ||||
\(359\) | 34.9706 | 1.84568 | 0.922838 | − | 0.385189i | \(-0.125864\pi\) | ||||
0.922838 | + | 0.385189i | \(0.125864\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −11.0000 | −0.578947 | ||||||||
\(362\) | −2.89949 | − | 5.02207i | −0.152394 | − | 0.263954i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −2.58579 | + | 4.47871i | −0.135532 | + | 0.234748i | ||||
\(365\) | 0.485281 | − | 0.840532i | 0.0254008 | − | 0.0439955i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 12.0000 | + | 20.7846i | 0.626395 | + | 1.08495i | 0.988269 | + | 0.152721i | \(0.0488036\pi\) |
−0.361874 | + | 0.932227i | \(0.617863\pi\) | |||||||
\(368\) | −12.0000 | −0.625543 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 8.97056 | 0.466357 | ||||||||
\(371\) | 2.82843 | + | 4.89898i | 0.146845 | + | 0.254342i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −5.00000 | + | 8.66025i | −0.258890 | + | 0.448411i | −0.965945 | − | 0.258748i | \(-0.916690\pi\) |
0.707055 | + | 0.707159i | \(0.250023\pi\) | |||||||
\(374\) | 3.17157 | − | 5.49333i | 0.163998 | − | 0.284053i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −9.24264 | − | 16.0087i | −0.476653 | − | 0.825587i | ||||
\(377\) | −2.00000 | −0.103005 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 0.485281 | 0.0249272 | 0.0124636 | − | 0.999922i | \(-0.496033\pi\) | ||||
0.0124636 | + | 0.999922i | \(0.496033\pi\) | |||||||
\(380\) | 7.31371 | + | 12.6677i | 0.375185 | + | 0.649840i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −0.686292 | + | 1.18869i | −0.0351137 | + | 0.0608188i | ||||
\(383\) | −15.4853 | + | 26.8213i | −0.791261 | + | 1.37050i | 0.133926 | + | 0.990991i | \(0.457242\pi\) |
−0.925187 | + | 0.379513i | \(0.876092\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −8.00000 | − | 13.8564i | −0.407718 | − | 0.706188i | ||||
\(386\) | 2.20101 | 0.112028 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −6.68629 | −0.339445 | ||||||||
\(389\) | 13.4853 | + | 23.3572i | 0.683731 | + | 1.18426i | 0.973834 | + | 0.227261i | \(0.0729771\pi\) |
−0.290103 | + | 0.956995i | \(0.593690\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 15.3137 | − | 26.5241i | 0.774448 | − | 1.34138i | ||||
\(392\) | 0.792893 | − | 1.37333i | 0.0400472 | − | 0.0693637i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −0.100505 | − | 0.174080i | −0.00506337 | − | 0.00877002i | ||||
\(395\) | 32.0000 | 1.61009 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 30.9706 | 1.55437 | 0.777184 | − | 0.629273i | \(-0.216647\pi\) | ||||
0.777184 | + | 0.629273i | \(0.216647\pi\) | |||||||
\(398\) | −4.48528 | − | 7.76874i | −0.224827 | − | 0.389412i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −4.50000 | + | 7.79423i | −0.225000 | + | 0.389711i | ||||
\(401\) | −13.0711 | + | 22.6398i | −0.652738 | + | 1.13058i | 0.329718 | + | 0.944080i | \(0.393046\pi\) |
−0.982456 | + | 0.186496i | \(0.940287\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.585786 | − | 1.01461i | −0.0291801 | − | 0.0505414i | ||||
\(404\) | −14.0000 | −0.696526 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.34315 | 0.116288 | ||||||||
\(407\) | −7.65685 | − | 13.2621i | −0.379536 | − | 0.657376i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 17.4853 | − | 30.2854i | 0.864592 | − | 1.49752i | −0.00286068 | − | 0.999996i | \(-0.500911\pi\) |
0.867452 | − | 0.497521i | \(-0.165756\pi\) | |||||||
\(410\) | 3.02944 | − | 5.24714i | 0.149613 | − | 0.259138i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.14214 | + | 3.71029i | 0.105535 | + | 0.182793i | ||||
\(413\) | 21.6569 | 1.06566 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −10.3431 | −0.507725 | ||||||||
\(416\) | 2.20711 | + | 3.82282i | 0.108212 | + | 0.187429i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −1.17157 | + | 2.02922i | −0.0573035 | + | 0.0992526i | ||||
\(419\) | −7.31371 | + | 12.6677i | −0.357298 | + | 0.618858i | −0.987508 | − | 0.157566i | \(-0.949635\pi\) |
0.630210 | + | 0.776424i | \(0.282969\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.6569 | − | 32.3146i | −0.909279 | − | 1.57492i | −0.815067 | − | 0.579366i | \(-0.803300\pi\) |
−0.0942120 | − | 0.995552i | \(-0.530033\pi\) | |||||||
\(422\) | −4.97056 | −0.241963 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.17157 | 0.154025 | ||||||||
\(425\) | −11.4853 | − | 19.8931i | −0.557118 | − | 0.964957i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −18.8284 | + | 32.6118i | −0.911171 | + | 1.57820i | ||||
\(428\) | −10.3431 | + | 17.9149i | −0.499955 | + | 0.865947i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.970563 | − | 1.68106i | −0.0468047 | − | 0.0810681i | ||||
\(431\) | 8.34315 | 0.401875 | 0.200938 | − | 0.979604i | \(-0.435601\pi\) | ||||
0.200938 | + | 0.979604i | \(0.435601\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −21.3137 | −1.02427 | −0.512136 | − | 0.858905i | \(-0.671146\pi\) | ||||
−0.512136 | + | 0.858905i | \(0.671146\pi\) | |||||||
\(434\) | 0.686292 | + | 1.18869i | 0.0329430 | + | 0.0570590i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 4.85786 | − | 8.41407i | 0.232650 | − | 0.402961i | ||||
\(437\) | −5.65685 | + | 9.79796i | −0.270604 | + | 0.468700i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −8.48528 | − | 14.6969i | −0.404980 | − | 0.701447i | 0.589339 | − | 0.807886i | \(-0.299388\pi\) |
−0.994319 | + | 0.106439i | \(0.966055\pi\) | |||||||
\(440\) | −8.97056 | −0.427655 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.17157 | −0.150856 | ||||||||
\(443\) | 12.9706 | + | 22.4657i | 0.616250 | + | 1.06738i | 0.990164 | + | 0.139913i | \(0.0446823\pi\) |
−0.373914 | + | 0.927463i | \(0.621984\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 20.9706 | − | 36.3221i | 0.994100 | − | 1.72183i | ||||
\(446\) | 2.58579 | − | 4.47871i | 0.122441 | − | 0.212073i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 5.89949 | + | 10.2182i | 0.278725 | + | 0.482766i | ||||
\(449\) | −31.7990 | −1.50069 | −0.750344 | − | 0.661048i | \(-0.770112\pi\) | ||||
−0.750344 | + | 0.661048i | \(0.770112\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.3431 | −0.487040 | ||||||||
\(452\) | −4.85786 | − | 8.41407i | −0.228495 | − | 0.395764i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 3.58579 | − | 6.21076i | 0.168289 | − | 0.291486i | ||||
\(455\) | −4.00000 | + | 6.92820i | −0.187523 | + | 0.324799i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.82843 | + | 6.63103i | 0.179086 | + | 0.310187i | 0.941568 | − | 0.336823i | \(-0.109353\pi\) |
−0.762482 | + | 0.647010i | \(0.776019\pi\) | |||||||
\(458\) | −0.544156 | −0.0254267 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −20.6863 | −0.964503 | ||||||||
\(461\) | −2.58579 | − | 4.47871i | −0.120432 | − | 0.208594i | 0.799506 | − | 0.600658i | \(-0.205095\pi\) |
−0.919938 | + | 0.392064i | \(0.871761\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.2426 | − | 21.2049i | 0.568964 | − | 0.985474i | −0.427705 | − | 0.903918i | \(-0.640678\pi\) |
0.996669 | − | 0.0815558i | \(-0.0259889\pi\) | |||||||
\(464\) | −3.00000 | + | 5.19615i | −0.139272 | + | 0.241225i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.44365 | − | 2.50048i | −0.0668758 | − | 0.115832i | ||||
\(467\) | −8.00000 | −0.370196 | −0.185098 | − | 0.982720i | \(-0.559260\pi\) | ||||
−0.185098 | + | 0.982720i | \(0.559260\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 19.3137 | 0.891824 | ||||||||
\(470\) | −6.82843 | − | 11.8272i | −0.314972 | − | 0.545547i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 6.07107 | − | 10.5154i | 0.279444 | − | 0.484010i | ||||
\(473\) | −1.65685 | + | 2.86976i | −0.0761822 | + | 0.131952i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 4.24264 | + | 7.34847i | 0.194666 | + | 0.337171i | ||||
\(476\) | −39.5980 | −1.81497 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.828427 | 0.0378914 | ||||||||
\(479\) | −12.6569 | − | 21.9223i | −0.578306 | − | 1.00166i | −0.995674 | − | 0.0929182i | \(-0.970380\pi\) |
0.417367 | − | 0.908738i | \(-0.362953\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −3.82843 | + | 6.63103i | −0.174561 | + | 0.302349i | ||||
\(482\) | −0.0710678 | + | 0.123093i | −0.00323705 | + | 0.00560674i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.39949 | − | 11.0843i | −0.290886 | − | 0.503830i | ||||
\(485\) | −10.3431 | −0.469658 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −7.79899 | −0.353406 | −0.176703 | − | 0.984264i | \(-0.556543\pi\) | ||||
−0.176703 | + | 0.984264i | \(0.556543\pi\) | |||||||
\(488\) | 10.5563 | + | 18.2841i | 0.477863 | + | 0.827684i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0.585786 | − | 1.01461i | 0.0264631 | − | 0.0458355i | ||||
\(491\) | −15.3137 | + | 26.5241i | −0.691098 | + | 1.19702i | 0.280380 | + | 0.959889i | \(0.409539\pi\) |
−0.971478 | + | 0.237128i | \(0.923794\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −7.65685 | − | 13.2621i | −0.344847 | − | 0.597293i | ||||
\(494\) | 1.17157 | 0.0527116 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.51472 | −0.157816 | ||||||||
\(497\) | −2.82843 | − | 4.89898i | −0.126872 | − | 0.219749i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −13.0711 | + | 22.6398i | −0.585141 | + | 1.01349i | 0.409716 | + | 0.912213i | \(0.365628\pi\) |
−0.994858 | + | 0.101282i | \(0.967706\pi\) | |||||||
\(500\) | 5.17157 | − | 8.95743i | 0.231280 | − | 0.400588i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −7.31371 | −0.326102 | −0.163051 | − | 0.986618i | \(-0.552134\pi\) | ||||
−0.163051 | + | 0.986618i | \(0.552134\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −21.6569 | −0.963717 | ||||||||
\(506\) | −1.65685 | − | 2.86976i | −0.0736562 | − | 0.127576i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 5.17157 | − | 8.95743i | 0.229451 | − | 0.397422i | ||||
\(509\) | −5.89949 | + | 10.2182i | −0.261491 | + | 0.452915i | −0.966638 | − | 0.256146i | \(-0.917547\pi\) |
0.705148 | + | 0.709060i | \(0.250881\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.485281 | − | 0.840532i | −0.0214676 | − | 0.0371829i | ||||
\(512\) | 22.7574 | 1.00574 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −1.79899 | −0.0793500 | ||||||||
\(515\) | 3.31371 | + | 5.73951i | 0.146019 | + | 0.252913i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −11.6569 | + | 20.1903i | −0.512668 | + | 0.887967i | ||||
\(518\) | 4.48528 | − | 7.76874i | 0.197072 | − | 0.341339i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.24264 | + | 3.88437i | 0.0983463 | + | 0.170341i | ||||
\(521\) | 25.3137 | 1.10901 | 0.554507 | − | 0.832179i | \(-0.312907\pi\) | ||||
0.554507 | + | 0.832179i | \(0.312907\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −15.3137 | −0.669622 | −0.334811 | − | 0.942285i | \(-0.608672\pi\) | ||||
−0.334811 | + | 0.942285i | \(0.608672\pi\) | |||||||
\(524\) | −7.31371 | − | 12.6677i | −0.319501 | − | 0.553392i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −2.48528 | + | 4.30463i | −0.108363 | + | 0.187691i | ||||
\(527\) | 4.48528 | − | 7.76874i | 0.195382 | − | 0.338411i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | + | 6.06218i | 0.152174 | + | 0.263573i | ||||
\(530\) | 2.34315 | 0.101780 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 14.6274 | 0.634179 | ||||||||
\(533\) | 2.58579 | + | 4.47871i | 0.112003 | + | 0.193995i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16.0000 | + | 27.7128i | −0.691740 | + | 1.19813i | ||||
\(536\) | 5.41421 | − | 9.37769i | 0.233858 | − | 0.405055i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −3.72792 | − | 6.45695i | −0.160722 | − | 0.278379i | ||||
\(539\) | −2.00000 | −0.0861461 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.0000 | 0.429934 | 0.214967 | − | 0.976621i | \(-0.431036\pi\) | ||||
0.214967 | + | 0.976621i | \(0.431036\pi\) | |||||||
\(542\) | 5.75736 | + | 9.97204i | 0.247300 | + | 0.428336i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −16.8995 | + | 29.2708i | −0.724560 | + | 1.25497i | ||||
\(545\) | 7.51472 | − | 13.0159i | 0.321895 | − | 0.557539i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −11.6569 | − | 20.1903i | −0.498411 | − | 0.863273i | 0.501587 | − | 0.865107i | \(-0.332750\pi\) |
−0.999998 | + | 0.00183374i | \(0.999416\pi\) | |||||||
\(548\) | 19.7990 | 0.845771 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −2.48528 | −0.105973 | ||||||||
\(551\) | 2.82843 | + | 4.89898i | 0.120495 | + | 0.208704i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 16.0000 | − | 27.7128i | 0.680389 | − | 1.17847i | ||||
\(554\) | 0.414214 | − | 0.717439i | 0.0175982 | − | 0.0304811i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −6.68629 | − | 11.5810i | −0.283562 | − | 0.491144i | ||||
\(557\) | −7.79899 | −0.330454 | −0.165227 | − | 0.986256i | \(-0.552836\pi\) | ||||
−0.165227 | + | 0.986256i | \(0.552836\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.65685 | 0.0700775 | ||||||||
\(560\) | 12.0000 | + | 20.7846i | 0.507093 | + | 0.878310i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −4.38478 | + | 7.59466i | −0.184961 | + | 0.320361i | ||||
\(563\) | −2.00000 | + | 3.46410i | −0.0842900 | + | 0.145994i | −0.905088 | − | 0.425223i | \(-0.860196\pi\) |
0.820798 | + | 0.571218i | \(0.193529\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −7.51472 | − | 13.0159i | −0.316147 | − | 0.547582i | ||||
\(566\) | 12.0000 | 0.504398 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −3.17157 | −0.133076 | ||||||||
\(569\) | 21.4853 | + | 37.2136i | 0.900710 | + | 1.56008i | 0.826575 | + | 0.562827i | \(0.190286\pi\) |
0.0741351 | + | 0.997248i | \(0.476380\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.48528 | − | 11.2328i | 0.271401 | − | 0.470080i | −0.697820 | − | 0.716273i | \(-0.745847\pi\) |
0.969221 | + | 0.246193i | \(0.0791799\pi\) | |||||||
\(572\) | 1.82843 | − | 3.16693i | 0.0764504 | − | 0.132416i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −3.02944 | − | 5.24714i | −0.126446 | − | 0.219011i | ||||
\(575\) | −12.0000 | −0.500435 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −31.9411 | −1.32973 | −0.664863 | − | 0.746965i | \(-0.731510\pi\) | ||||
−0.664863 | + | 0.746965i | \(0.731510\pi\) | |||||||
\(578\) | −8.62132 | − | 14.9326i | −0.358600 | − | 0.621113i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.17157 | + | 8.95743i | −0.214738 | + | 0.371937i | ||||
\(581\) | −5.17157 | + | 8.95743i | −0.214553 | + | 0.371617i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −2.00000 | − | 3.46410i | −0.0828315 | − | 0.143468i | ||||
\(584\) | −0.544156 | −0.0225173 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.887302 | 0.0366541 | ||||||||
\(587\) | 5.48528 | + | 9.50079i | 0.226402 | + | 0.392139i | 0.956739 | − | 0.290947i | \(-0.0939704\pi\) |
−0.730337 | + | 0.683087i | \(0.760637\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.65685 | + | 2.86976i | −0.0682695 | + | 0.118246i | ||||
\(590\) | 4.48528 | − | 7.76874i | 0.184656 | − | 0.319834i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 11.4853 | + | 19.8931i | 0.472042 | + | 0.817601i | ||||
\(593\) | −20.4853 | −0.841230 | −0.420615 | − | 0.907239i | \(-0.638186\pi\) | ||||
−0.420615 | + | 0.907239i | \(0.638186\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −61.2548 | −2.51120 | ||||||||
\(596\) | −8.38478 | − | 14.5229i | −0.343454 | − | 0.594879i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −0.828427 | + | 1.43488i | −0.0338769 | + | 0.0586765i | ||||
\(599\) | 11.6569 | − | 20.1903i | 0.476286 | − | 0.824952i | −0.523345 | − | 0.852121i | \(-0.675316\pi\) |
0.999631 | + | 0.0271693i | \(0.00864931\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.313708 | + | 0.543359i | 0.0127964 | + | 0.0221641i | 0.872353 | − | 0.488877i | \(-0.162593\pi\) |
−0.859556 | + | 0.511041i | \(0.829260\pi\) | |||||||
\(602\) | −1.94113 | −0.0791144 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 6.42641 | 0.261487 | ||||||||
\(605\) | −9.89949 | − | 17.1464i | −0.402472 | − | 0.697101i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −20.9706 | + | 36.3221i | −0.851169 | + | 1.47427i | 0.0289853 | + | 0.999580i | \(0.490772\pi\) |
−0.880154 | + | 0.474688i | \(0.842561\pi\) | |||||||
\(608\) | 6.24264 | − | 10.8126i | 0.253173 | − | 0.438508i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 7.79899 | + | 13.5082i | 0.315772 | + | 0.546933i | ||||
\(611\) | 11.6569 | 0.471586 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −47.6569 | −1.92484 | −0.962421 | − | 0.271561i | \(-0.912460\pi\) | ||||
−0.962421 | + | 0.271561i | \(0.912460\pi\) | |||||||
\(614\) | 4.72792 | + | 8.18900i | 0.190803 | + | 0.330481i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.48528 | + | 7.76874i | −0.180717 | + | 0.313011i | ||||
\(617\) | 17.4142 | − | 30.1623i | 0.701070 | − | 1.21429i | −0.267021 | − | 0.963691i | \(-0.586039\pi\) |
0.968091 | − | 0.250598i | \(-0.0806272\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.8995 | − | 20.6105i | −0.478281 | − | 0.828407i | 0.521409 | − | 0.853307i | \(-0.325407\pi\) |
−0.999690 | + | 0.0248998i | \(0.992073\pi\) | |||||||
\(620\) | −6.05887 | −0.243330 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −4.40202 | −0.176505 | ||||||||
\(623\) | −20.9706 | − | 36.3221i | −0.840168 | − | 1.45521i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 15.5000 | − | 26.8468i | 0.620000 | − | 1.07387i | ||||
\(626\) | −1.24264 | + | 2.15232i | −0.0496659 | + | 0.0860239i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −9.14214 | − | 15.8346i | −0.364811 | − | 0.631871i | ||||
\(629\) | −58.6274 | −2.33763 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 43.1127 | 1.71629 | 0.858145 | − | 0.513408i | \(-0.171617\pi\) | ||||
0.858145 | + | 0.513408i | \(0.171617\pi\) | |||||||
\(632\) | −8.97056 | − | 15.5375i | −0.356830 | − | 0.618047i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −1.75736 | + | 3.04384i | −0.0697937 | + | 0.120886i | ||||
\(635\) | 8.00000 | − | 13.8564i | 0.317470 | − | 0.549875i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0.500000 | + | 0.866025i | 0.0198107 | + | 0.0343132i | ||||
\(638\) | −1.65685 | −0.0655955 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 29.8579 | 1.18024 | ||||||||
\(641\) | −15.1421 | − | 26.2269i | −0.598078 | − | 1.03590i | −0.993105 | − | 0.117232i | \(-0.962598\pi\) |
0.395026 | − | 0.918670i | \(-0.370736\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.4142 | + | 19.7700i | −0.450133 | + | 0.779653i | −0.998394 | − | 0.0566545i | \(-0.981957\pi\) |
0.548261 | + | 0.836307i | \(0.315290\pi\) | |||||||
\(644\) | −10.3431 | + | 17.9149i | −0.407577 | + | 0.705944i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.48528 | + | 7.76874i | 0.176471 | + | 0.305657i | ||||
\(647\) | 11.3137 | 0.444788 | 0.222394 | − | 0.974957i | \(-0.428613\pi\) | ||||
0.222394 | + | 0.974957i | \(0.428613\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −15.3137 | −0.601116 | ||||||||
\(650\) | 0.621320 | + | 1.07616i | 0.0243702 | + | 0.0422104i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 17.2132 | − | 29.8141i | 0.674121 | − | 1.16761i | ||||
\(653\) | 12.6569 | − | 21.9223i | 0.495301 | − | 0.857886i | −0.504684 | − | 0.863304i | \(-0.668391\pi\) |
0.999985 | + | 0.00541749i | \(0.00172445\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.3137 | − | 19.5959i | −0.442063 | − | 0.765676i | ||||
\(656\) | 15.5147 | 0.605748 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −13.6569 | −0.532400 | ||||||||
\(659\) | 23.6569 | + | 40.9749i | 0.921540 | + | 1.59615i | 0.797033 | + | 0.603936i | \(0.206402\pi\) |
0.124507 | + | 0.992219i | \(0.460265\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.4853 | − | 30.2854i | 0.680099 | − | 1.17797i | −0.294852 | − | 0.955543i | \(-0.595270\pi\) |
0.974950 | − | 0.222422i | \(-0.0713964\pi\) | |||||||
\(662\) | −5.41421 | + | 9.37769i | −0.210429 | + | 0.364474i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 2.89949 | + | 5.02207i | 0.112522 | + | 0.194894i | ||||
\(665\) | 22.6274 | 0.877454 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.00000 | −0.309761 | ||||||||
\(668\) | −3.34315 | − | 5.79050i | −0.129350 | − | 0.224041i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 4.00000 | − | 6.92820i | 0.154533 | − | 0.267660i | ||||
\(671\) | 13.3137 | − | 23.0600i | 0.513970 | − | 0.890222i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.31371 | − | 14.3998i | −0.320470 | − | 0.555070i | 0.660115 | − | 0.751164i | \(-0.270507\pi\) |
−0.980585 | + | 0.196094i | \(0.937174\pi\) | |||||||
\(674\) | 3.85786 | 0.148599 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.82843 | −0.0703241 | ||||||||
\(677\) | −13.3431 | − | 23.1110i | −0.512819 | − | 0.888228i | −0.999890 | − | 0.0148656i | \(-0.995268\pi\) |
0.487071 | − | 0.873363i | \(-0.338065\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −5.17157 | + | 8.95743i | −0.198467 | + | 0.343754i | ||||
\(680\) | −17.1716 | + | 29.7420i | −0.658500 | + | 1.14056i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.485281 | − | 0.840532i | −0.0185824 | − | 0.0321856i | ||||
\(683\) | 47.9411 | 1.83442 | 0.917208 | − | 0.398408i | \(-0.130437\pi\) | ||||
0.917208 | + | 0.398408i | \(0.130437\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 30.6274 | 1.17021 | ||||||||
\(686\) | 3.51472 | + | 6.08767i | 0.134193 | + | 0.232428i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 2.48528 | − | 4.30463i | 0.0947505 | − | 0.164113i | ||||
\(689\) | −1.00000 | + | 1.73205i | −0.0380970 | + | 0.0659859i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2.92893 | + | 5.07306i | 0.111422 | + | 0.192988i | 0.916344 | − | 0.400392i | \(-0.131126\pi\) |
−0.804922 | + | 0.593381i | \(0.797793\pi\) | |||||||
\(692\) | 21.3137 | 0.810226 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.59798 | −0.136577 | ||||||||
\(695\) | −10.3431 | − | 17.9149i | −0.392338 | − | 0.679549i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −19.7990 | + | 34.2929i | −0.749940 | + | 1.29893i | ||||
\(698\) | −0.757359 | + | 1.31178i | −0.0286665 | + | 0.0496518i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 7.75736 | + | 13.4361i | 0.293201 | + | 0.507838i | ||||
\(701\) | 5.02944 | 0.189959 | 0.0949796 | − | 0.995479i | \(-0.469721\pi\) | ||||
0.0949796 | + | 0.995479i | \(0.469721\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.6569 | 0.816804 | ||||||||
\(704\) | −4.17157 | − | 7.22538i | −0.157222 | − | 0.272317i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.92893 | − | 12.0013i | 0.260774 | − | 0.451673i | ||||
\(707\) | −10.8284 | + | 18.7554i | −0.407245 | + | 0.705369i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.31371 | + | 4.00746i | 0.0868931 | + | 0.150503i | 0.906196 | − | 0.422857i | \(-0.138973\pi\) |
−0.819303 | + | 0.573360i | \(0.805639\pi\) | |||||||
\(710\) | −2.34315 | −0.0879367 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −23.5147 | −0.881251 | ||||||||
\(713\) | −2.34315 | − | 4.05845i | −0.0877515 | − | 0.151990i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.82843 | − | 4.89898i | 0.105777 | − | 0.183211i | ||||
\(716\) | −21.3137 | + | 36.9164i | −0.796531 | + | 1.37963i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −7.24264 | − | 12.5446i | −0.270293 | − | 0.468161i | ||||
\(719\) | −29.9411 | −1.11662 | −0.558308 | − | 0.829634i | \(-0.688549\pi\) | ||||
−0.558308 | + | 0.829634i | \(0.688549\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 6.62742 | 0.246818 | ||||||||
\(722\) | 2.27817 | + | 3.94591i | 0.0847849 | + | 0.146852i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 12.7990 | − | 22.1685i | 0.475671 | − | 0.823886i | ||||
\(725\) | −3.00000 | + | 5.19615i | −0.111417 | + | 0.192980i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 5.17157 | + | 8.95743i | 0.191803 | + | 0.332213i | 0.945848 | − | 0.324610i | \(-0.105233\pi\) |
−0.754045 | + | 0.656823i | \(0.771900\pi\) | |||||||
\(728\) | 4.48528 | 0.166236 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −0.402020 | −0.0148794 | ||||||||
\(731\) | 6.34315 | + | 10.9867i | 0.234610 | + | 0.406356i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 18.3137 | − | 31.7203i | 0.676432 | − | 1.17162i | −0.299616 | − | 0.954060i | \(-0.596858\pi\) |
0.976048 | − | 0.217555i | \(-0.0698082\pi\) | |||||||
\(734\) | 4.97056 | − | 8.60927i | 0.183467 | − | 0.317774i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 8.82843 | + | 15.2913i | 0.325420 | + | 0.563644i | ||||
\(737\) | −13.6569 | −0.503057 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.1421 | −0.667369 | −0.333685 | − | 0.942685i | \(-0.608292\pi\) | ||||
−0.333685 | + | 0.942685i | \(0.608292\pi\) | |||||||
\(740\) | 19.7990 | + | 34.2929i | 0.727825 | + | 1.26063i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 1.17157 | − | 2.02922i | 0.0430098 | − | 0.0744951i | ||||
\(743\) | −1.00000 | + | 1.73205i | −0.0366864 | + | 0.0635428i | −0.883786 | − | 0.467892i | \(-0.845014\pi\) |
0.847099 | + | 0.531435i | \(0.178347\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −12.9706 | − | 22.4657i | −0.475205 | − | 0.823079i | ||||
\(746\) | 4.14214 | 0.151654 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 28.0000 | 1.02378 | ||||||||
\(749\) | 16.0000 | + | 27.7128i | 0.584627 | + | 1.01260i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.485281 | − | 0.840532i | 0.0177082 | − | 0.0306714i | −0.857036 | − | 0.515257i | \(-0.827696\pi\) |
0.874744 | + | 0.484586i | \(0.161030\pi\) | |||||||
\(752\) | 17.4853 | − | 30.2854i | 0.637623 | − | 1.10439i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.414214 | + | 0.717439i | 0.0150848 | + | 0.0261276i | ||||
\(755\) | 9.94113 | 0.361795 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 51.9411 | 1.88783 | 0.943916 | − | 0.330185i | \(-0.107111\pi\) | ||||
0.943916 | + | 0.330185i | \(0.107111\pi\) | |||||||
\(758\) | −0.100505 | − | 0.174080i | −0.00365051 | − | 0.00632287i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.34315 | − | 10.9867i | 0.230090 | − | 0.398528i | ||||
\(761\) | −16.2426 | + | 28.1331i | −0.588795 | + | 1.01982i | 0.405595 | + | 0.914053i | \(0.367064\pi\) |
−0.994391 | + | 0.105771i | \(0.966269\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −7.51472 | − | 13.0159i | −0.272051 | − | 0.471206i | ||||
\(764\) | −6.05887 | −0.219202 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 12.8284 | 0.463510 | ||||||||
\(767\) | 3.82843 | + | 6.63103i | 0.138236 | + | 0.239433i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −21.0000 | + | 36.3731i | −0.757279 | + | 1.31165i | 0.186954 | + | 0.982369i | \(0.440139\pi\) |
−0.944233 | + | 0.329278i | \(0.893195\pi\) | |||||||
\(770\) | −3.31371 | + | 5.73951i | −0.119418 | + | 0.206838i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 4.85786 | + | 8.41407i | 0.174838 | + | 0.302829i | ||||
\(773\) | 34.1421 | 1.22801 | 0.614004 | − | 0.789303i | \(-0.289558\pi\) | ||||
0.614004 | + | 0.789303i | \(0.289558\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.51472 | −0.126252 | ||||||||
\(776\) | 2.89949 | + | 5.02207i | 0.104086 | + | 0.180282i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.58579 | − | 9.67487i | 0.200260 | − | 0.346861i | ||||
\(779\) | 7.31371 | − | 12.6677i | 0.262041 | − | 0.453868i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.00000 | + | 3.46410i | 0.0715656 | + | 0.123955i | ||||
\(782\) | −12.6863 | −0.453661 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 3.00000 | 0.107143 | ||||||||
\(785\) | −14.1421 | − | 24.4949i | −0.504754 | − | 0.874260i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 20.3848 | − | 35.3075i | 0.726639 | − | 1.25858i | −0.231657 | − | 0.972798i | \(-0.574415\pi\) |
0.958296 | − | 0.285778i | \(-0.0922519\pi\) | |||||||
\(788\) | 0.443651 | − | 0.768426i | 0.0158044 | − | 0.0273740i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6.62742 | − | 11.4790i | −0.235793 | − | 0.408405i | ||||
\(791\) | −15.0294 | −0.534385 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −13.3137 | −0.472784 | ||||||||
\(794\) | −6.41421 | − | 11.1097i | −0.227632 | − | 0.394270i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 19.7990 | − | 34.2929i | 0.701757 | − | 1.21548i | ||||
\(797\) | −12.1716 | + | 21.0818i | −0.431139 | + | 0.746755i | −0.996972 | − | 0.0777652i | \(-0.975222\pi\) |
0.565832 | + | 0.824520i | \(0.308555\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 44.6274 | + | 77.2970i | 1.57880 | + | 2.73457i | ||||
\(800\) | 13.2426 | 0.468198 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 10.8284 | 0.382365 | ||||||||
\(803\) | 0.343146 | + | 0.594346i | 0.0121094 | + | 0.0209740i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −16.0000 | + | 27.7128i | −0.563926 | + | 0.976748i | ||||
\(806\) | −0.242641 | + | 0.420266i | −0.00854665 | + | 0.0148032i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 6.07107 | + | 10.5154i | 0.213579 | + | 0.369930i | ||||
\(809\) | 18.6863 | 0.656975 | 0.328488 | − | 0.944508i | \(-0.393461\pi\) | ||||
0.328488 | + | 0.944508i | \(0.393461\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −30.1421 | −1.05843 | −0.529217 | − | 0.848487i | \(-0.677514\pi\) | ||||
−0.529217 | + | 0.848487i | \(0.677514\pi\) | |||||||
\(812\) | 5.17157 | + | 8.95743i | 0.181487 | + | 0.314344i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −3.17157 | + | 5.49333i | −0.111164 | + | 0.192541i | ||||
\(815\) | 26.6274 | − | 46.1200i | 0.932718 | − | 1.61551i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.34315 | − | 4.05845i | −0.0819763 | − | 0.141987i | ||||
\(818\) | −14.4853 | −0.506466 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 26.7452 | 0.933982 | ||||||||
\(821\) | 11.8995 | + | 20.6105i | 0.415295 | + | 0.719312i | 0.995459 | − | 0.0951871i | \(-0.0303449\pi\) |
−0.580164 | + | 0.814500i | \(0.697012\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.51472 | + | 13.0159i | −0.261947 | + | 0.453705i | −0.966759 | − | 0.255689i | \(-0.917698\pi\) |
0.704813 | + | 0.709394i | \(0.251031\pi\) | |||||||
\(824\) | 1.85786 | − | 3.21792i | 0.0647218 | − | 0.112101i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −4.48528 | − | 7.76874i | −0.156063 | − | 0.270309i | ||||
\(827\) | −26.0000 | −0.904109 | −0.452054 | − | 0.891990i | \(-0.649309\pi\) | ||||
−0.452054 | + | 0.891990i | \(0.649309\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −17.3137 | −0.601330 | −0.300665 | − | 0.953730i | \(-0.597209\pi\) | ||||
−0.300665 | + | 0.953730i | \(0.597209\pi\) | |||||||
\(830\) | 2.14214 | + | 3.71029i | 0.0743546 | + | 0.128786i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −2.08579 | + | 3.61269i | −0.0723116 | + | 0.125247i | ||||
\(833\) | −3.82843 | + | 6.63103i | −0.132647 | + | 0.229752i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.17157 | − | 8.95743i | −0.178970 | − | 0.309985i | ||||
\(836\) | −10.3431 | −0.357725 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 6.05887 | 0.209300 | ||||||||
\(839\) | −21.6274 | − | 37.4598i | −0.746661 | − | 1.29326i | −0.949415 | − | 0.314026i | \(-0.898322\pi\) |
0.202753 | − | 0.979230i | \(-0.435011\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 12.5000 | − | 21.6506i | 0.431034 | − | 0.746574i | ||||
\(842\) | −7.72792 | + | 13.3852i | −0.266322 | + | 0.461283i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −10.9706 | − | 19.0016i | −0.377622 | − | 0.654061i | ||||
\(845\) | −2.82843 | −0.0973009 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −19.7990 | −0.680301 | ||||||||
\(848\) | 3.00000 | + | 5.19615i | 0.103020 | + | 0.178437i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.75736 | + | 8.23999i | −0.163176 | + | 0.282629i | ||||
\(851\) | −15.3137 | + | 26.5241i | −0.524947 | + | 0.909235i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1.82843 | − | 3.16693i | −0.0626042 | − | 0.108434i | 0.833025 | − | 0.553236i | \(-0.186607\pi\) |
−0.895629 | + | 0.444802i | \(0.853274\pi\) | |||||||
\(854\) | 15.5980 | 0.533752 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 17.9411 | 0.613215 | ||||||||
\(857\) | 24.7990 | + | 42.9531i | 0.847117 | + | 1.46725i | 0.883770 | + | 0.467922i | \(0.154997\pi\) |
−0.0366523 | + | 0.999328i | \(0.511669\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.343146 | − | 0.594346i | 0.0117080 | − | 0.0202788i | −0.860112 | − | 0.510105i | \(-0.829606\pi\) |
0.871820 | + | 0.489826i | \(0.162940\pi\) | |||||||
\(860\) | 4.28427 | − | 7.42058i | 0.146092 | − | 0.253040i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.72792 | − | 2.99285i | −0.0588533 | − | 0.101937i | ||||
\(863\) | −28.3431 | −0.964812 | −0.482406 | − | 0.875948i | \(-0.660237\pi\) | ||||
−0.482406 | + | 0.875948i | \(0.660237\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 32.9706 | 1.12103 | ||||||||
\(866\) | 4.41421 | + | 7.64564i | 0.150001 | + | 0.259809i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.02944 | + | 5.24714i | −0.102826 | + | 0.178100i | ||||
\(869\) | −11.3137 | + | 19.5959i | −0.383791 | + | 0.664746i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 3.41421 | + | 5.91359i | 0.115686 | + | 0.200374i | ||||
\(872\) | −8.42641 | −0.285354 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 4.68629 | 0.158516 | ||||||||
\(875\) | −8.00000 | − | 13.8564i | −0.270449 | − | 0.468432i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −21.1421 | + | 36.6193i | −0.713919 | + | 1.23654i | 0.249456 | + | 0.968386i | \(0.419748\pi\) |
−0.963375 | + | 0.268158i | \(0.913585\pi\) | |||||||
\(878\) | −3.51472 | + | 6.08767i | −0.118616 | + | 0.205449i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −8.48528 | − | 14.6969i | −0.286039 | − | 0.495434i | ||||
\(881\) | −25.5980 | −0.862418 | −0.431209 | − | 0.902252i | \(-0.641913\pi\) | ||||
−0.431209 | + | 0.902252i | \(0.641913\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 27.5980 | 0.928746 | 0.464373 | − | 0.885640i | \(-0.346280\pi\) | ||||
0.464373 | + | 0.885640i | \(0.346280\pi\) | |||||||
\(884\) | −7.00000 | − | 12.1244i | −0.235435 | − | 0.407786i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 5.37258 | − | 9.30559i | 0.180495 | − | 0.312627i | ||||
\(887\) | 4.00000 | − | 6.92820i | 0.134307 | − | 0.232626i | −0.791026 | − | 0.611783i | \(-0.790453\pi\) |
0.925332 | + | 0.379157i | \(0.123786\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −8.00000 | − | 13.8564i | −0.268311 | − | 0.464729i | ||||
\(890\) | −17.3726 | −0.582330 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 22.8284 | 0.764352 | ||||||||
\(893\) | −16.4853 | − | 28.5533i | −0.551659 | − | 0.955501i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −32.9706 | + | 57.1067i | −1.10208 | + | 1.90887i | ||||
\(896\) | 14.9289 | − | 25.8577i | 0.498741 | − | 0.863844i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 6.58579 | + | 11.4069i | 0.219771 | + | 0.380654i | ||||
\(899\) | −2.34315 | −0.0781483 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −15.3137 | −0.510174 | ||||||||
\(902\) | 2.14214 | + | 3.71029i | 0.0713253 | + | 0.123539i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −4.21320 | + | 7.29748i | −0.140129 | + | 0.242711i | ||||
\(905\) | 19.7990 | − | 34.2929i | 0.658141 | − | 1.13993i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 6.48528 | + | 11.2328i | 0.215340 | + | 0.372980i | 0.953378 | − | 0.301779i | \(-0.0975806\pi\) |
−0.738038 | + | 0.674760i | \(0.764247\pi\) | |||||||
\(908\) | 31.6569 | 1.05057 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.31371 | 0.109848 | ||||||||
\(911\) | 20.0000 | + | 34.6410i | 0.662630 | + | 1.14771i | 0.979922 | + | 0.199380i | \(0.0638929\pi\) |
−0.317293 | + | 0.948328i | \(0.602774\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 3.65685 | − | 6.33386i | 0.121024 | − | 0.209620i | ||||
\(914\) | 1.58579 | − | 2.74666i | 0.0524532 | − | 0.0908515i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.20101 | − | 2.08021i | −0.0396825 | − | 0.0687321i | ||||
\(917\) | −22.6274 | −0.747223 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 3.31371 | 0.109309 | 0.0546546 | − | 0.998505i | \(-0.482594\pi\) | ||||
0.0546546 | + | 0.998505i | \(0.482594\pi\) | |||||||
\(920\) | 8.97056 | + | 15.5375i | 0.295751 | + | 0.512255i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.07107 | + | 1.85514i | −0.0352737 | + | 0.0610959i | ||||
\(923\) | 1.00000 | − | 1.73205i | 0.0329154 | − | 0.0570111i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 11.4853 | + | 19.8931i | 0.377634 | + | 0.654081i | ||||
\(926\) | −10.1421 | −0.333291 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 8.82843 | 0.289807 | ||||||||
\(929\) | −5.89949 | − | 10.2182i | −0.193556 | − | 0.335249i | 0.752870 | − | 0.658169i | \(-0.228669\pi\) |
−0.946426 | + | 0.322920i | \(0.895336\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 1.41421 | − | 2.44949i | 0.0463490 | − | 0.0802788i | ||||
\(932\) | 6.37258 | − | 11.0376i | 0.208741 | − | 0.361550i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 1.65685 | + | 2.86976i | 0.0542139 | + | 0.0939013i | ||||
\(935\) | 43.3137 | 1.41651 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −21.3137 | −0.696289 | −0.348144 | − | 0.937441i | \(-0.613188\pi\) | ||||
−0.348144 | + | 0.937441i | \(0.613188\pi\) | |||||||
\(938\) | −4.00000 | − | 6.92820i | −0.130605 | − | 0.226214i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 30.1421 | − | 52.2077i | 0.983128 | − | 1.70283i | ||||
\(941\) | −17.0711 | + | 29.5680i | −0.556501 | + | 0.963888i | 0.441284 | + | 0.897367i | \(0.354523\pi\) |
−0.997785 | + | 0.0665204i | \(0.978810\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 10.3431 | + | 17.9149i | 0.336819 | + | 0.583388i | ||||
\(944\) | 22.9706 | 0.747628 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.37258 | 0.0446265 | ||||||||
\(947\) | 10.5147 | + | 18.2120i | 0.341682 | + | 0.591811i | 0.984745 | − | 0.174002i | \(-0.0556699\pi\) |
−0.643063 | + | 0.765813i | \(0.722337\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0.171573 | − | 0.297173i | 0.00556949 | − | 0.00964664i | ||||
\(950\) | 1.75736 | − | 3.04384i | 0.0570163 | − | 0.0987551i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 17.1716 | + | 29.7420i | 0.556534 | + | 0.963945i | ||||
\(953\) | 40.3431 | 1.30684 | 0.653421 | − | 0.756994i | \(-0.273333\pi\) | ||||
0.653421 | + | 0.756994i | \(0.273333\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −9.37258 | −0.303290 | ||||||||
\(956\) | 1.82843 | + | 3.16693i | 0.0591356 | + | 0.102426i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.24264 | + | 9.08052i | −0.169382 | + | 0.293378i | ||||
\(959\) | 15.3137 | − | 26.5241i | 0.494505 | − | 0.856509i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 14.8137 | + | 25.6581i | 0.477862 | + | 0.827681i | ||||
\(962\) | 3.17157 | 0.102256 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −0.627417 | −0.0202077 | ||||||||
\(965\) | 7.51472 | + | 13.0159i | 0.241907 | + | 0.418996i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −9.07107 | + | 15.7116i | −0.291706 | + | 0.505249i | −0.974213 | − | 0.225629i | \(-0.927556\pi\) |
0.682507 | + | 0.730879i | \(0.260890\pi\) | |||||||
\(968\) | −5.55025 | + | 9.61332i | −0.178392 | + | 0.308984i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 2.14214 | + | 3.71029i | 0.0687798 | + | 0.119130i | ||||
\(971\) | −15.3137 | −0.491440 | −0.245720 | − | 0.969341i | \(-0.579024\pi\) | ||||
−0.245720 | + | 0.969341i | \(0.579024\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −20.6863 | −0.663172 | ||||||||
\(974\) | 1.61522 | + | 2.79765i | 0.0517551 | + | 0.0896425i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −19.9706 | + | 34.5900i | −0.639242 | + | 1.10720i | ||||
\(977\) | −21.0711 | + | 36.4962i | −0.674123 | + | 1.16762i | 0.302601 | + | 0.953117i | \(0.402145\pi\) |
−0.976724 | + | 0.214498i | \(0.931188\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 14.8284 | + | 25.6836i | 0.473919 | + | 0.820851i | ||||
\(980\) | 5.17157 | 0.165200 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 12.6863 | 0.404836 | ||||||||
\(983\) | −12.6569 | − | 21.9223i | −0.403691 | − | 0.699213i | 0.590477 | − | 0.807054i | \(-0.298940\pi\) |
−0.994168 | + | 0.107841i | \(0.965606\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0.686292 | − | 1.18869i | 0.0218671 | − | 0.0378749i | ||||
\(986\) | −3.17157 | + | 5.49333i | −0.101003 | + | 0.174943i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.58579 | + | 4.47871i | 0.0822648 | + | 0.142487i | ||||
\(989\) | 6.62742 | 0.210740 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 4.68629 | 0.148865 | 0.0744325 | − | 0.997226i | \(-0.476285\pi\) | ||||
0.0744325 | + | 0.997226i | \(0.476285\pi\) | |||||||
\(992\) | 2.58579 | + | 4.47871i | 0.0820988 | + | 0.142199i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.17157 | + | 2.02922i | −0.0371600 | + | 0.0643631i | ||||
\(995\) | 30.6274 | − | 53.0482i | 0.970954 | − | 1.68174i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 19.6274 | + | 33.9957i | 0.621607 | + | 1.07665i | 0.989187 | + | 0.146662i | \(0.0468530\pi\) |
−0.367580 | + | 0.929992i | \(0.619814\pi\) | |||||||
\(998\) | 10.8284 | 0.342768 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))