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 | 703.2 | ||
Root | \(0.707107 - 1.22474i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1053.703 |
Dual form | 1053.2.e.e.352.2 |
$q$-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 \(\left(\mathbb{Z}/1053\mathbb{Z}\right)^\times\).
\(n\) | \(326\) | \(730\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
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 | \(-0.786550\pi\) |
0.929912 | + | 0.367783i | \(0.119883\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.914214 | + | 1.58346i | 0.457107 | + | 0.791732i | ||||
\(5\) | −1.41421 | − | 2.44949i | −0.632456 | − | 1.09545i | −0.987048 | − | 0.160424i | \(-0.948714\pi\) |
0.354593 | − | 0.935021i | \(-0.384620\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.41421 | + | 2.44949i | −0.534522 | + | 0.925820i | 0.464664 | + | 0.885487i | \(0.346175\pi\) |
−0.999186 | + | 0.0403329i | \(0.987158\pi\) | |||||||
\(8\) | 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 | \(-0.930824\pi\) |
0.674967 | + | 0.737848i | \(0.264158\pi\) | |||||||
\(12\) | 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 | \(-0.878927\pi\) | ||||
−0.928530 | + | 0.371257i | \(0.878927\pi\) | |||||||
\(18\) | 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 | \(-0.303595\pi\) |
−0.995639 | + | 0.0932891i | \(0.970262\pi\) | |||||||
\(24\) | 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 | \(-0.773880\pi\) |
0.943811 | + | 0.330487i | \(0.107213\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.585786 | + | 1.01461i | 0.105210 | + | 0.182230i | 0.913824 | − | 0.406110i | \(-0.133115\pi\) |
−0.808614 | + | 0.588340i | \(0.799782\pi\) | |||||||
\(32\) | 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 | \(-0.0343447\pi\) |
−0.590353 | + | 0.807145i | \(0.701011\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 0.828427 | − | 1.43488i | 0.126334 | − | 0.218817i | −0.795920 | − | 0.605402i | \(-0.793012\pi\) |
0.922254 | + | 0.386585i | \(0.126346\pi\) | |||||||
\(44\) | −3.65685 | −0.551292 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.65685 | −0.244290 | ||||||||
\(47\) | −5.82843 | + | 10.0951i | −0.850163 | + | 1.47253i | 0.0308969 | + | 0.999523i | \(0.490164\pi\) |
−0.881060 | + | 0.473004i | \(0.843170\pi\) | |||||||
\(48\) | 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 | \(-0.456138\pi\) | ||||
0.137361 | + | 0.990521i | \(0.456138\pi\) | |||||||
\(54\) | 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 | \(-0.000580884\pi\) |
−0.501580 | + | 0.865112i | \(0.667248\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.65685 | + | 11.5300i | −0.852323 | + | 1.47627i | 0.0267837 | + | 0.999641i | \(0.491473\pi\) |
−0.879107 | + | 0.476625i | \(0.841860\pi\) | |||||||
\(62\) | 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 | 0.578535 | − | 0.815657i | \(-0.303625\pi\) |
−0.995648 | + | 0.0931973i | \(0.970291\pi\) | |||||||
\(68\) | −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 | \(-0.537866\pi\) | ||||
−0.118678 | + | 0.992933i | \(0.537866\pi\) | |||||||
\(72\) | 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 | −0.349761 | − | 0.936839i | \(-0.613737\pi\) |
0.986207 | − | 0.165518i | \(-0.0529295\pi\) | |||||||
\(80\) | 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 | \(-0.769013\pi\) |
0.948753 | + | 0.316019i | \(0.102346\pi\) | |||||||
\(84\) | 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 | \(-0.787803\pi\) | ||||
−0.785905 | + | 0.618347i | \(0.787803\pi\) | |||||||
\(90\) | 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 | −0.943795 | − | 0.330532i | \(-0.892772\pi\) |
0.758146 | + | 0.652085i | \(0.226105\pi\) | |||||||
\(98\) | −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 | \(-0.708933\pi\) |
0.991197 | + | 0.132393i | \(0.0422662\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.17157 | − | 2.02922i | −0.115439 | − | 0.199945i | 0.802516 | − | 0.596630i | \(-0.203494\pi\) |
−0.917955 | + | 0.396685i | \(0.870161\pi\) | |||||||
\(104\) | 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 | \(-0.315820\pi\) | ||||
0.546869 | + | 0.837218i | \(0.315820\pi\) | |||||||
\(108\) | 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 | \(-0.247076\pi\) |
−0.963508 | + | 0.267680i | \(0.913743\pi\) | |||||||
\(114\) | 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 | \(-0.280309\pi\) |
−0.986157 | + | 0.165812i | \(0.946976\pi\) | |||||||
\(132\) | 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 | \(-0.986405\pi\) |
0.536521 | + | 0.843887i | \(0.319738\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.65685 | + | 6.33386i | 0.310170 | + | 0.537231i | 0.978399 | − | 0.206725i | \(-0.0662806\pi\) |
−0.668229 | + | 0.743956i | \(0.732947\pi\) | |||||||
\(140\) | 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 | \(-0.289258\pi\) |
−0.990429 | + | 0.138024i | \(0.955925\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.75736 | − | 3.04384i | 0.143012 | − | 0.247704i | −0.785618 | − | 0.618712i | \(-0.787655\pi\) |
0.928629 | + | 0.371009i | \(0.120988\pi\) | |||||||
\(152\) | −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 | 0.993608 | − | 0.112884i | \(-0.0360089\pi\) |
−0.594565 | + | 0.804048i | \(0.702676\pi\) | |||||||
\(158\) | −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 | \(-0.211855\pi\) |
−0.928057 | + | 0.372438i | \(0.878522\pi\) | |||||||
\(168\) | 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 | \(-0.979464\pi\) |
0.554793 | + | 0.831989i | \(0.312798\pi\) | |||||||
\(174\) | 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 | \(-0.163294\pi\) | ||||
0.871274 | + | 0.490797i | \(0.163294\pi\) | |||||||
\(180\) | 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 | \(-0.795081\pi\) |
0.919722 | + | 0.392570i | \(0.128414\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −2.65685 | − | 4.60181i | −0.191245 | − | 0.331245i | 0.754418 | − | 0.656394i | \(-0.227919\pi\) |
−0.945663 | + | 0.325149i | \(0.894586\pi\) | |||||||
\(194\) | 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 | \(-0.505503\pi\) | ||||
−0.0172874 | + | 0.999851i | \(0.505503\pi\) | |||||||
\(198\) | 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 | 0.995222 | − | 0.0976347i | \(-0.0311277\pi\) |
−0.582165 | + | 0.813070i | \(0.697794\pi\) | |||||||
\(212\) | 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 | −0.577704 | − | 0.816246i | \(-0.696051\pi\) |
0.995742 | + | 0.0921831i | \(0.0293845\pi\) | |||||||
\(224\) | −12.4853 | −0.834208 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.20101 | −0.146409 | ||||||||
\(227\) | −8.65685 | + | 14.9941i | −0.574576 | + | 0.995194i | 0.421512 | + | 0.906823i | \(0.361500\pi\) |
−0.996088 | + | 0.0883713i | \(0.971834\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.656854 | + | 1.13770i | 0.0434062 | + | 0.0751817i | 0.886912 | − | 0.461938i | \(-0.152846\pi\) |
−0.843506 | + | 0.537120i | \(0.819512\pi\) | |||||||
\(230\) | 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 | \(-0.573326\pi\) | ||||
−0.228328 | + | 0.973584i | \(0.573326\pi\) | |||||||
\(234\) | 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 | \(-0.146063\pi\) |
−0.831869 | + | 0.554971i | \(0.812729\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.171573 | + | 0.297173i | −0.0110520 | + | 0.0191426i | −0.871499 | − | 0.490398i | \(-0.836851\pi\) |
0.860447 | + | 0.509541i | \(0.170185\pi\) | |||||||
\(242\) | 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 | \(-0.209918\pi\) |
−0.925773 | + | 0.378081i | \(0.876584\pi\) | |||||||
\(258\) | 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 | \(-0.712699\pi\) |
0.989561 | + | 0.144112i | \(0.0460326\pi\) | |||||||
\(264\) | 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 | \(-0.684892\pi\) | ||||
−0.548740 | + | 0.835993i | \(0.684892\pi\) | |||||||
\(270\) | 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 | −0.834419 | − | 0.551131i | \(-0.814196\pi\) |
0.894503 | + | 0.447062i | \(0.147530\pi\) | |||||||
\(278\) | 3.02944 | 0.181694 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 12.6863 | 0.758151 | ||||||||
\(281\) | 10.5858 | − | 18.3351i | 0.631495 | − | 1.09378i | −0.355751 | − | 0.934581i | \(-0.615775\pi\) |
0.987246 | − | 0.159201i | \(-0.0508917\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −14.4853 | − | 25.0892i | −0.861061 | − | 1.49140i | −0.870906 | − | 0.491449i | \(-0.836467\pi\) |
0.00984565 | − | 0.999952i | \(-0.496866\pi\) | |||||||
\(284\) | −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 | \(-0.146736\pi\) |
−0.833042 | + | 0.553210i | \(0.813403\pi\) | |||||||
\(294\) | 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 | \(-0.264091\pi\) |
−0.976434 | + | 0.215818i | \(0.930758\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −3.00000 | + | 5.19615i | −0.169570 | + | 0.293704i | −0.938269 | − | 0.345907i | \(-0.887571\pi\) |
0.768699 | + | 0.639611i | \(0.220905\pi\) | |||||||
\(314\) | 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 | \(-0.756746\pi\) |
0.960224 | + | 0.279231i | \(0.0900797\pi\) | |||||||
\(318\) | 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 | 0.243163 | + | 0.969986i | \(0.421815\pi\) |
−0.961613 | + | 0.274408i | \(0.911518\pi\) | |||||||
\(332\) | 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 | 0.710860 | − | 0.703334i | \(-0.248306\pi\) |
−0.964535 | + | 0.263956i | \(0.914973\pi\) | |||||||
\(338\) | 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 | \(-0.241571\pi\) |
−0.958734 | + | 0.284304i | \(0.908237\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −1.82843 | + | 3.16693i | −0.0978735 | + | 0.169522i | −0.910804 | − | 0.412839i | \(-0.864537\pi\) |
0.812931 | + | 0.582360i | \(0.197871\pi\) | |||||||
\(350\) | −3.51472 | −0.187870 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −8.82843 | −0.470557 | ||||||||
\(353\) | −16.7279 | + | 28.9736i | −0.890337 | + | 1.54211i | −0.0508663 | + | 0.998705i | \(0.516198\pi\) |
−0.839471 | + | 0.543404i | \(0.817135\pi\) | |||||||
\(354\) | 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 | \(-0.874136\pi\) | ||||
−0.922838 | + | 0.385189i | \(0.874136\pi\) | |||||||
\(360\) | 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 | −0.361874 | − | 0.932227i | \(-0.617863\pi\) |
0.988269 | − | 0.152721i | \(-0.0488036\pi\) | |||||||
\(368\) | 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 | 0.707055 | − | 0.707159i | \(-0.250023\pi\) |
−0.965945 | + | 0.258748i | \(0.916690\pi\) | |||||||
\(374\) | −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 | 0.925187 | + | 0.379513i | \(0.123908\pi\) |
−0.133926 | + | 0.990991i | \(0.542758\pi\) | |||||||
\(384\) | 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 | 0.290103 | + | 0.956995i | \(0.406310\pi\) |
−0.973834 | + | 0.227261i | \(0.927023\pi\) | |||||||
\(390\) | 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 | 0.982456 | + | 0.186496i | \(0.0597131\pi\) |
−0.329718 | + | 0.944080i | \(0.606954\pi\) | |||||||
\(402\) | 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 | 0.867452 | + | 0.497521i | \(0.165756\pi\) |
−0.00286068 | + | 0.999996i | \(0.500911\pi\) | |||||||
\(410\) | −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 | \(-0.0503647\pi\) |
−0.630210 | + | 0.776424i | \(0.717031\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −18.6569 | + | 32.3146i | −0.909279 | + | 1.57492i | −0.0942120 | + | 0.995552i | \(0.530033\pi\) |
−0.815067 | + | 0.579366i | \(0.803300\pi\) | |||||||
\(422\) | 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 | \(-0.564399\pi\) | ||||
−0.200938 | + | 0.979604i | \(0.564399\pi\) | |||||||
\(432\) | 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 | −0.994319 | − | 0.106439i | \(-0.966055\pi\) |
0.589339 | + | 0.807886i | \(0.299388\pi\) | |||||||
\(440\) | 8.97056 | 0.427655 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −3.17157 | −0.150856 | ||||||||
\(443\) | −12.9706 | + | 22.4657i | −0.616250 | + | 1.06738i | 0.373914 | + | 0.927463i | \(0.378016\pi\) |
−0.990164 | + | 0.139913i | \(0.955318\pi\) | |||||||
\(444\) | 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 | \(-0.229888\pi\) | ||||
0.750344 | + | 0.661048i | \(0.229888\pi\) | |||||||
\(450\) | 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 | −0.762482 | − | 0.647010i | \(-0.776019\pi\) |
0.941568 | + | 0.336823i | \(0.109353\pi\) | |||||||
\(458\) | 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 | \(-0.794905\pi\) |
0.919938 | + | 0.392064i | \(0.128239\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 12.2426 | + | 21.2049i | 0.568964 | + | 0.985474i | 0.996669 | + | 0.0815558i | \(0.0259889\pi\) |
−0.427705 | + | 0.903918i | \(0.640678\pi\) | |||||||
\(464\) | 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 | \(-0.440740\pi\) | ||||
0.185098 | + | 0.982720i | \(0.440740\pi\) | |||||||
\(468\) | 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 | −0.417367 | − | 0.908738i | \(-0.637047\pi\) |
0.995674 | − | 0.0929182i | \(-0.0296195\pi\) | |||||||
\(480\) | 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 | 0.971478 | + | 0.237128i | \(0.0762060\pi\) |
−0.280380 | + | 0.959889i | \(0.590461\pi\) | |||||||
\(492\) | 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 | −0.994858 | − | 0.101282i | \(-0.967706\pi\) |
0.409716 | − | 0.912213i | \(-0.365628\pi\) | |||||||
\(500\) | −5.17157 | − | 8.95743i | −0.231280 | − | 0.400588i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 7.31371 | 0.326102 | 0.163051 | − | 0.986618i | \(-0.447866\pi\) | ||||
0.163051 | + | 0.986618i | \(0.447866\pi\) | |||||||
\(504\) | 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 | \(-0.0824527\pi\) |
−0.705148 | + | 0.709060i | \(0.749119\pi\) | |||||||
\(510\) | 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 | \(-0.687093\pi\) | ||||
−0.554507 | + | 0.832179i | \(0.687093\pi\) | |||||||
\(522\) | 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 | −0.999998 | − | 0.00183374i | \(-0.999416\pi\) |
0.501587 | + | 0.865107i | \(0.332750\pi\) | |||||||
\(548\) | −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 | \(-0.447164\pi\) | ||||
0.165227 | + | 0.986256i | \(0.447164\pi\) | |||||||
\(558\) | 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 | \(-0.139804\pi\) |
−0.820798 | + | 0.571218i | \(0.806471\pi\) | |||||||
\(564\) | 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 | −0.0741351 | + | 0.997248i | \(0.523620\pi\) |
−0.826575 | + | 0.562827i | \(0.809714\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.48528 | + | 11.2328i | 0.271401 | + | 0.470080i | 0.969221 | − | 0.246193i | \(-0.0791799\pi\) |
−0.697820 | + | 0.716273i | \(0.745847\pi\) | |||||||
\(572\) | −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 | \(-0.906030\pi\) |
0.730337 | + | 0.683087i | \(0.239363\pi\) | |||||||
\(588\) | 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 | \(-0.361814\pi\) | ||||
0.420615 | + | 0.907239i | \(0.361814\pi\) | |||||||
\(594\) | 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 | \(-0.324684\pi\) |
−0.999631 | + | 0.0271693i | \(0.991351\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 0.313708 | − | 0.543359i | 0.0127964 | − | 0.0221641i | −0.859556 | − | 0.511041i | \(-0.829260\pi\) |
0.872353 | + | 0.488877i | \(0.162593\pi\) | |||||||
\(602\) | 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 | −0.880154 | − | 0.474688i | \(-0.842561\pi\) |
0.0289853 | − | 0.999580i | \(-0.490772\pi\) | |||||||
\(608\) | −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 | −0.968091 | − | 0.250598i | \(-0.919373\pi\) |
0.267021 | − | 0.963691i | \(-0.413961\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −11.8995 | + | 20.6105i | −0.478281 | + | 0.828407i | −0.999690 | − | 0.0248998i | \(-0.992073\pi\) |
0.521409 | + | 0.853307i | \(0.325407\pi\) | |||||||
\(620\) | 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 | −0.395026 | − | 0.918670i | \(-0.629264\pi\) |
0.993105 | − | 0.117232i | \(-0.0374022\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −11.4142 | − | 19.7700i | −0.450133 | − | 0.779653i | 0.548261 | − | 0.836307i | \(-0.315290\pi\) |
−0.998394 | + | 0.0566545i | \(0.981957\pi\) | |||||||
\(644\) | 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 | \(-0.571387\pi\) | ||||
−0.222394 | + | 0.974957i | \(0.571387\pi\) | |||||||
\(648\) | 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 | \(-0.331609\pi\) |
−0.999985 | + | 0.00541749i | \(0.998276\pi\) | |||||||
\(654\) | 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 | −0.124507 | + | 0.992219i | \(0.539735\pi\) |
−0.797033 | + | 0.603936i | \(0.793598\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 17.4853 | + | 30.2854i | 0.680099 | + | 1.17797i | 0.974950 | + | 0.222422i | \(0.0713964\pi\) |
−0.294852 | + | 0.955543i | \(0.595270\pi\) | |||||||
\(662\) | 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 | −0.980585 | − | 0.196094i | \(-0.937174\pi\) |
0.660115 | + | 0.751164i | \(0.270507\pi\) | |||||||
\(674\) | −3.85786 | −0.148599 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −1.82843 | −0.0703241 | ||||||||
\(677\) | 13.3431 | − | 23.1110i | 0.512819 | − | 0.888228i | −0.487071 | − | 0.873363i | \(-0.661935\pi\) |
0.999890 | − | 0.0148656i | \(-0.00473205\pi\) | |||||||
\(678\) | 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 | \(-0.869563\pi\) | ||||
−0.917208 | + | 0.398408i | \(0.869563\pi\) | |||||||
\(684\) | 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 | −0.804922 | − | 0.593381i | \(-0.797793\pi\) |
0.916344 | + | 0.400392i | \(0.131126\pi\) | |||||||
\(692\) | −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 | \(-0.530279\pi\) | ||||
−0.0949796 | + | 0.995479i | \(0.530279\pi\) | |||||||
\(702\) | 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 | −0.819303 | − | 0.573360i | \(-0.805639\pi\) |
0.906196 | + | 0.422857i | \(0.138973\pi\) | |||||||
\(710\) | 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 | \(-0.311451\pi\) | ||||
0.558308 | + | 0.829634i | \(0.311451\pi\) | |||||||
\(720\) | 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 | −0.754045 | − | 0.656823i | \(-0.771900\pi\) |
0.945848 | + | 0.324610i | \(0.105233\pi\) | |||||||
\(728\) | −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 | 0.976048 | + | 0.217555i | \(0.0698082\pi\) |
−0.299616 | + | 0.954060i | \(0.596858\pi\) | |||||||
\(734\) | −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 | \(-0.154986\pi\) |
−0.847099 | + | 0.531435i | \(0.821653\pi\) | |||||||
\(744\) | 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 | 0.874744 | − | 0.484586i | \(-0.161030\pi\) |
−0.857036 | + | 0.515257i | \(0.827696\pi\) | |||||||
\(752\) | −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 | 0.994391 | + | 0.105771i | \(0.0337309\pi\) |
−0.405595 | + | 0.914053i | \(0.632936\pi\) | |||||||
\(762\) | 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 | −0.944233 | − | 0.329278i | \(-0.893195\pi\) |
0.186954 | − | 0.982369i | \(-0.440139\pi\) | |||||||
\(770\) | 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 | \(-0.710442\pi\) | ||||
−0.614004 | + | 0.789303i | \(0.710442\pi\) | |||||||
\(774\) | 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 | 0.958296 | + | 0.285778i | \(0.0922519\pi\) |
−0.231657 | + | 0.972798i | \(0.574415\pi\) | |||||||
\(788\) | −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 | \(-0.0247784\pi\) |
−0.565832 | + | 0.824520i | \(0.691445\pi\) | |||||||
\(798\) | 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 | \(-0.606539\pi\) | ||||
−0.328488 | + | 0.944508i | \(0.606539\pi\) | |||||||
\(810\) | 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 | \(-0.969655\pi\) |
0.580164 | + | 0.814500i | \(0.302988\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −7.51472 | − | 13.0159i | −0.261947 | − | 0.453705i | 0.704813 | − | 0.709394i | \(-0.251031\pi\) |
−0.966759 | + | 0.255689i | \(0.917698\pi\) | |||||||
\(824\) | −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 | \(-0.350691\pi\) | ||||
0.452054 | + | 0.891990i | \(0.350691\pi\) | |||||||
\(828\) | 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 | −0.202753 | − | 0.979230i | \(-0.564989\pi\) |
0.949415 | − | 0.314026i | \(-0.101678\pi\) | |||||||
\(840\) | 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 | −0.895629 | − | 0.444802i | \(-0.853274\pi\) |
0.833025 | + | 0.553236i | \(0.186607\pi\) | |||||||
\(854\) | −15.5980 | −0.533752 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 17.9411 | 0.613215 | ||||||||
\(857\) | −24.7990 | + | 42.9531i | −0.847117 | + | 1.46725i | 0.0366523 | + | 0.999328i | \(0.488331\pi\) |
−0.883770 | + | 0.467922i | \(0.845003\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 0.343146 | + | 0.594346i | 0.0117080 | + | 0.0202788i | 0.871820 | − | 0.489826i | \(-0.162940\pi\) |
−0.860112 | + | 0.510105i | \(0.829606\pi\) | |||||||
\(860\) | −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 | \(-0.339763\pi\) | ||||
0.482406 | + | 0.875948i | \(0.339763\pi\) | |||||||
\(864\) | 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 | −0.963375 | − | 0.268158i | \(-0.913585\pi\) |
0.249456 | − | 0.968386i | \(-0.419748\pi\) | |||||||
\(878\) | 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 | \(-0.358087\pi\) | ||||
0.431209 | + | 0.902252i | \(0.358087\pi\) | |||||||
\(882\) | 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 | \(-0.209547\pi\) |
−0.925332 | + | 0.379157i | \(0.876214\pi\) | |||||||
\(888\) | 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 | −0.738038 | − | 0.674760i | \(-0.764247\pi\) |
0.953378 | + | 0.301779i | \(0.0975806\pi\) | |||||||
\(908\) | −31.6569 | −1.05057 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.31371 | 0.109848 | ||||||||
\(911\) | −20.0000 | + | 34.6410i | −0.662630 | + | 1.14771i | 0.317293 | + | 0.948328i | \(0.397226\pi\) |
−0.979922 | + | 0.199380i | \(0.936107\pi\) | |||||||
\(912\) | 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 | \(-0.771331\pi\) |
0.946426 | + | 0.322920i | \(0.104664\pi\) | |||||||
\(930\) | 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 | 0.997785 | + | 0.0665204i | \(0.0211898\pi\) |
−0.441284 | + | 0.897367i | \(0.645477\pi\) | |||||||
\(942\) | 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 | \(-0.944330\pi\) |
0.643063 | + | 0.765813i | \(0.277663\pi\) | |||||||
\(948\) | 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 | \(-0.726667\pi\) | ||||
−0.653421 | + | 0.756994i | \(0.726667\pi\) | |||||||
\(954\) | 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 | 0.682507 | − | 0.730879i | \(-0.260890\pi\) |
−0.974213 | + | 0.225629i | \(0.927556\pi\) | |||||||
\(968\) | 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 | \(-0.420976\pi\) | ||||
0.245720 | + | 0.969341i | \(0.420976\pi\) | |||||||
\(972\) | 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 | 0.976724 | + | 0.214498i | \(0.0688117\pi\) |
−0.302601 | + | 0.953117i | \(0.597855\pi\) | |||||||
\(978\) | 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 | \(-0.701060\pi\) |
0.994168 | + | 0.107841i | \(0.0343938\pi\) | |||||||
\(984\) | 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 | −0.367580 | − | 0.929992i | \(-0.619814\pi\) |
0.989187 | − | 0.146662i | \(-0.0468530\pi\) | |||||||
\(998\) | −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 \(a_p\))