Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [810,3,Mod(269,810)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(810, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("810.269");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 810 = 2 \cdot 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 810.j (of order \(6\), 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: | \(22.0709014132\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{6})\) |
Coefficient field: | 8.0.443364212736.6 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 16x^{6} + 175x^{4} - 1296x^{2} + 6561 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 30) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 539.2 | ||
Root | \(2.87843 - 0.845366i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 810.539 |
Dual form | 810.3.j.c.269.2 |
$q$-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 \(\left(\mathbb{Z}/810\mathbb{Z}\right)^\times\).
\(n\) | \(487\) | \(731\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.707107 | − | 1.22474i | −0.353553 | − | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −1.00000 | + | 1.73205i | −0.250000 | + | 0.433013i | ||||
\(5\) | 4.98493 | − | 0.387937i | 0.996986 | − | 0.0775874i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −5.04975 | + | 2.91548i | −0.721393 | + | 0.416497i | −0.815265 | − | 0.579088i | \(-0.803409\pi\) |
0.0938720 | + | 0.995584i | \(0.470076\pi\) | |||||||
\(8\) | 2.82843 | 0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −4.00000 | − | 5.83095i | −0.400000 | − | 0.583095i | ||||
\(11\) | 14.2829 | − | 8.24621i | 1.29844 | − | 0.749656i | 0.318307 | − | 0.947988i | \(-0.396886\pi\) |
0.980135 | + | 0.198332i | \(0.0635525\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0 | 0 | 0.500000 | − | 0.866025i | \(-0.333333\pi\) | ||||
−0.500000 | + | 0.866025i | \(0.666667\pi\) | |||||||
\(14\) | 7.14143 | + | 4.12311i | 0.510102 | + | 0.294508i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00000 | − | 3.46410i | −0.125000 | − | 0.216506i | ||||
\(17\) | −11.3137 | −0.665512 | −0.332756 | − | 0.943013i | \(-0.607979\pi\) | ||||
−0.332756 | + | 0.943013i | \(0.607979\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 12.0000 | 0.631579 | 0.315789 | − | 0.948829i | \(-0.397731\pi\) | ||||
0.315789 | + | 0.948829i | \(0.397731\pi\) | |||||||
\(20\) | −4.31300 | + | 9.02209i | −0.215650 | + | 0.451104i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −20.1990 | − | 11.6619i | −0.918137 | − | 0.530087i | ||||
\(23\) | −12.0208 | + | 20.8207i | −0.522644 | + | 0.905246i | 0.477009 | + | 0.878899i | \(0.341721\pi\) |
−0.999653 | + | 0.0263476i | \(0.991612\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 24.6990 | − | 3.86768i | 0.987960 | − | 0.154707i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | − | 11.6619i | − | 0.416497i | ||||||
\(29\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 16.0000 | − | 27.7128i | 0.516129 | − | 0.893962i | −0.483696 | − | 0.875236i | \(-0.660706\pi\) |
0.999825 | − | 0.0187254i | \(-0.00596084\pi\) | |||||||
\(32\) | −2.82843 | + | 4.89898i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 8.00000 | + | 13.8564i | 0.235294 | + | 0.407541i | ||||
\(35\) | −24.0416 | + | 16.4924i | −0.686904 | + | 0.471212i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − | 23.3238i | − | 0.630373i | −0.949030 | − | 0.315187i | \(-0.897933\pi\) | ||
0.949030 | − | 0.315187i | \(-0.102067\pi\) | |||||||
\(38\) | −8.48528 | − | 14.6969i | −0.223297 | − | 0.386762i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 14.0995 | − | 1.09725i | 0.352488 | − | 0.0274313i | ||||
\(41\) | 49.9900 | + | 28.8617i | 1.21927 | + | 0.703945i | 0.964761 | − | 0.263126i | \(-0.0847535\pi\) |
0.254507 | + | 0.967071i | \(0.418087\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 35.3483 | − | 20.4083i | 0.822053 | − | 0.474612i | −0.0290711 | − | 0.999577i | \(-0.509255\pi\) |
0.851124 | + | 0.524965i | \(0.175922\pi\) | |||||||
\(44\) | 32.9848i | 0.749656i | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 34.0000 | 0.739130 | ||||||||
\(47\) | 17.6777 | + | 30.6186i | 0.376121 | + | 0.651460i | 0.990494 | − | 0.137555i | \(-0.0439245\pi\) |
−0.614373 | + | 0.789015i | \(0.710591\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −7.50000 | + | 12.9904i | −0.153061 | + | 0.265110i | ||||
\(50\) | −22.2018 | − | 27.5151i | −0.444035 | − | 0.550303i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 67.8823 | 1.28080 | 0.640399 | − | 0.768043i | \(-0.278769\pi\) | ||||
0.640399 | + | 0.768043i | \(0.278769\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 68.0000 | − | 46.6476i | 1.23636 | − | 0.848138i | ||||
\(56\) | −14.2829 | + | 8.24621i | −0.255051 | + | 0.147254i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −14.2829 | − | 8.24621i | −0.242082 | − | 0.139766i | 0.374051 | − | 0.927408i | \(-0.377968\pi\) |
−0.616133 | + | 0.787642i | \(0.711302\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8.00000 | + | 13.8564i | 0.131148 | + | 0.227154i | 0.924119 | − | 0.382104i | \(-0.124801\pi\) |
−0.792972 | + | 0.609259i | \(0.791467\pi\) | |||||||
\(62\) | −45.2548 | −0.729917 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −5.04975 | − | 2.91548i | −0.0753694 | − | 0.0435146i | 0.461842 | − | 0.886962i | \(-0.347189\pi\) |
−0.537211 | + | 0.843448i | \(0.680522\pi\) | |||||||
\(68\) | 11.3137 | − | 19.5959i | 0.166378 | − | 0.288175i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 37.1990 | + | 17.7830i | 0.531414 | + | 0.254042i | ||||
\(71\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − | 116.619i | − | 1.59752i | −0.601649 | − | 0.798761i | \(-0.705489\pi\) | ||
0.601649 | − | 0.798761i | \(-0.294511\pi\) | |||||||
\(74\) | −28.5657 | + | 16.4924i | −0.386023 | + | 0.222871i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −12.0000 | + | 20.7846i | −0.157895 | + | 0.273482i | ||||
\(77\) | −48.0833 | + | 83.2827i | −0.624458 | + | 1.08159i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 36.0000 | + | 62.3538i | 0.455696 | + | 0.789289i | 0.998728 | − | 0.0504232i | \(-0.0160570\pi\) |
−0.543032 | + | 0.839712i | \(0.682724\pi\) | |||||||
\(80\) | −11.3137 | − | 16.4924i | −0.141421 | − | 0.206155i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | − | 81.6333i | − | 0.995528i | ||||||
\(83\) | 21.9203 | + | 37.9671i | 0.264100 | + | 0.457435i | 0.967327 | − | 0.253530i | \(-0.0815917\pi\) |
−0.703227 | + | 0.710965i | \(0.748258\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −56.3980 | + | 4.38901i | −0.663506 | + | 0.0516354i | ||||
\(86\) | −49.9900 | − | 28.8617i | −0.581279 | − | 0.335602i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 40.3980 | − | 23.3238i | 0.459068 | − | 0.265043i | ||||
\(89\) | − | 65.9697i | − | 0.741232i | −0.928786 | − | 0.370616i | \(-0.879147\pi\) | ||
0.928786 | − | 0.370616i | \(-0.120853\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −24.0416 | − | 41.6413i | −0.261322 | − | 0.452623i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 25.0000 | − | 43.3013i | 0.265957 | − | 0.460652i | ||||
\(95\) | 59.8191 | − | 4.65524i | 0.629675 | − | 0.0490026i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 141.393 | − | 81.6333i | 1.45766 | − | 0.841581i | 0.458765 | − | 0.888558i | \(-0.348292\pi\) |
0.998896 | + | 0.0469772i | \(0.0149588\pi\) | |||||||
\(98\) | 21.2132 | 0.216461 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −18.0000 | + | 46.6476i | −0.180000 | + | 0.466476i | ||||
\(101\) | 114.263 | − | 65.9697i | 1.13132 | − | 0.653165i | 0.187050 | − | 0.982350i | \(-0.440107\pi\) |
0.944265 | + | 0.329185i | \(0.106774\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −85.8458 | − | 49.5631i | −0.833454 | − | 0.481195i | 0.0215796 | − | 0.999767i | \(-0.493130\pi\) |
−0.855034 | + | 0.518572i | \(0.826464\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −48.0000 | − | 83.1384i | −0.452830 | − | 0.784325i | ||||
\(107\) | −55.1543 | −0.515461 | −0.257731 | − | 0.966217i | \(-0.582975\pi\) | ||||
−0.257731 | + | 0.966217i | \(0.582975\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 80.0000 | 0.733945 | 0.366972 | − | 0.930232i | \(-0.380394\pi\) | ||||
0.366972 | + | 0.930232i | \(0.380394\pi\) | |||||||
\(110\) | −105.215 | − | 50.2978i | −0.956497 | − | 0.457253i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 20.1990 | + | 11.6619i | 0.180348 | + | 0.104124i | ||||
\(113\) | 76.3675 | − | 132.272i | 0.675819 | − | 1.17055i | −0.300410 | − | 0.953810i | \(-0.597123\pi\) |
0.976229 | − | 0.216742i | \(-0.0695432\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −51.8458 | + | 108.453i | −0.450833 | + | 0.943068i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 23.3238i | 0.197659i | ||||||||
\(119\) | 57.1314 | − | 32.9848i | 0.480096 | − | 0.277184i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 75.5000 | − | 130.770i | 0.623967 | − | 1.08074i | ||||
\(122\) | 11.3137 | − | 19.5959i | 0.0927353 | − | 0.160622i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 32.0000 | + | 55.4256i | 0.258065 | + | 0.446981i | ||||
\(125\) | 121.622 | − | 28.8617i | 0.972979 | − | 0.230894i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | − | 40.8167i | − | 0.321391i | −0.987004 | − | 0.160696i | \(-0.948626\pi\) | ||
0.987004 | − | 0.160696i | \(-0.0513737\pi\) | |||||||
\(128\) | −5.65685 | − | 9.79796i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −42.8486 | − | 24.7386i | −0.327088 | − | 0.188845i | 0.327459 | − | 0.944865i | \(-0.393808\pi\) |
−0.654548 | + | 0.756021i | \(0.727141\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −60.5970 | + | 34.9857i | −0.455617 | + | 0.263050i | ||||
\(134\) | 8.24621i | 0.0615389i | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −32.0000 | −0.235294 | ||||||||
\(137\) | 25.4558 | + | 44.0908i | 0.185809 | + | 0.321831i | 0.943849 | − | 0.330378i | \(-0.107176\pi\) |
−0.758040 | + | 0.652208i | \(0.773843\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −22.0000 | + | 38.1051i | −0.158273 | + | 0.274138i | −0.934246 | − | 0.356629i | \(-0.883926\pi\) |
0.775973 | + | 0.630766i | \(0.217259\pi\) | |||||||
\(140\) | −4.52408 | − | 58.1337i | −0.0323149 | − | 0.415241i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −142.829 | + | 82.4621i | −0.978278 | + | 0.564809i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 40.3980 | + | 23.3238i | 0.272960 | + | 0.157593i | ||||
\(149\) | 7.14143 | + | 4.12311i | 0.0479290 | + | 0.0276718i | 0.523773 | − | 0.851858i | \(-0.324524\pi\) |
−0.475844 | + | 0.879530i | \(0.657857\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −68.0000 | − | 117.779i | −0.450331 | − | 0.779996i | 0.548075 | − | 0.836429i | \(-0.315361\pi\) |
−0.998406 | + | 0.0564326i | \(0.982027\pi\) | |||||||
\(152\) | 33.9411 | 0.223297 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 136.000 | 0.883117 | ||||||||
\(155\) | 69.0080 | − | 144.353i | 0.445213 | − | 0.931312i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 100.995 | + | 58.3095i | 0.643281 | + | 0.371398i | 0.785877 | − | 0.618383i | \(-0.212212\pi\) |
−0.142597 | + | 0.989781i | \(0.545545\pi\) | |||||||
\(158\) | 50.9117 | − | 88.1816i | 0.322226 | − | 0.558112i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −12.1990 | + | 25.5183i | −0.0762438 | + | 0.159489i | ||||
\(161\) | − | 140.186i | − | 0.870718i | ||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 99.1262i | 0.608136i | 0.952650 | + | 0.304068i | \(0.0983450\pi\) | ||||
−0.952650 | + | 0.304068i | \(0.901655\pi\) | |||||||
\(164\) | −99.9800 | + | 57.7235i | −0.609634 | + | 0.351972i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 31.0000 | − | 53.6936i | 0.186747 | − | 0.323455i | ||||
\(167\) | −146.371 | + | 253.522i | −0.876474 | + | 1.51810i | −0.0212891 | + | 0.999773i | \(0.506777\pi\) |
−0.855185 | + | 0.518324i | \(0.826556\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −84.5000 | − | 146.358i | −0.500000 | − | 0.866025i | ||||
\(170\) | 45.2548 | + | 65.9697i | 0.266205 | + | 0.388057i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 81.6333i | 0.474612i | ||||||||
\(173\) | 82.0244 | + | 142.070i | 0.474129 | + | 0.821216i | 0.999561 | − | 0.0296195i | \(-0.00942955\pi\) |
−0.525432 | + | 0.850836i | \(0.676096\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −113.448 | + | 91.5402i | −0.648273 | + | 0.523087i | ||||
\(176\) | −57.1314 | − | 32.9848i | −0.324610 | − | 0.187414i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −80.7960 | + | 46.6476i | −0.453910 | + | 0.262065i | ||||
\(179\) | 16.4924i | 0.0921364i | 0.998938 | + | 0.0460682i | \(0.0146692\pi\) | ||||
−0.998938 | + | 0.0460682i | \(0.985331\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −82.0000 | −0.453039 | −0.226519 | − | 0.974007i | \(-0.572735\pi\) | ||||
−0.226519 | + | 0.974007i | \(0.572735\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −34.0000 | + | 58.8897i | −0.184783 | + | 0.320053i | ||||
\(185\) | −9.04817 | − | 116.267i | −0.0489090 | − | 0.628473i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −161.592 | + | 93.2952i | −0.864129 | + | 0.498905i | ||||
\(188\) | −70.7107 | −0.376121 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −48.0000 | − | 69.9714i | −0.252632 | − | 0.368271i | ||||
\(191\) | −257.091 | + | 148.432i | −1.34603 | + | 0.777130i | −0.987684 | − | 0.156460i | \(-0.949992\pi\) |
−0.358344 | + | 0.933590i | \(0.616659\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 100.995 | + | 58.3095i | 0.523290 | + | 0.302122i | 0.738280 | − | 0.674495i | \(-0.235638\pi\) |
−0.214989 | + | 0.976616i | \(0.568972\pi\) | |||||||
\(194\) | −199.960 | − | 115.447i | −1.03072 | − | 0.595087i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −15.0000 | − | 25.9808i | −0.0765306 | − | 0.132555i | ||||
\(197\) | −192.333 | −0.976310 | −0.488155 | − | 0.872757i | \(-0.662330\pi\) | ||||
−0.488155 | + | 0.872757i | \(0.662330\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −312.000 | −1.56784 | −0.783920 | − | 0.620862i | \(-0.786783\pi\) | ||||
−0.783920 | + | 0.620862i | \(0.786783\pi\) | |||||||
\(200\) | 69.8593 | − | 10.9394i | 0.349297 | − | 0.0546972i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −161.592 | − | 93.2952i | −0.799961 | − | 0.461858i | ||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 260.393 | + | 124.481i | 1.27021 | + | 0.607223i | ||||
\(206\) | 140.186i | 0.680513i | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 171.394 | − | 98.9545i | 0.820068 | − | 0.473467i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 6.00000 | − | 10.3923i | 0.0284360 | − | 0.0492526i | −0.851457 | − | 0.524424i | \(-0.824281\pi\) |
0.879893 | + | 0.475171i | \(0.157614\pi\) | |||||||
\(212\) | −67.8823 | + | 117.576i | −0.320199 | + | 0.554601i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 39.0000 | + | 67.5500i | 0.182243 | + | 0.315654i | ||||
\(215\) | 168.291 | − | 115.447i | 0.782751 | − | 0.536963i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 186.590i | 0.859864i | ||||||||
\(218\) | −56.5685 | − | 97.9796i | −0.259489 | − | 0.449448i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 12.7960 | + | 164.427i | 0.0581638 | + | 0.747396i | ||||
\(221\) | 0 | 0 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 35.3483 | − | 20.4083i | 0.158512 | − | 0.0915172i | −0.418646 | − | 0.908150i | \(-0.637495\pi\) |
0.577158 | + | 0.816633i | \(0.304162\pi\) | |||||||
\(224\) | − | 32.9848i | − | 0.147254i | ||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −216.000 | −0.955752 | ||||||||
\(227\) | 79.9031 | + | 138.396i | 0.351996 | + | 0.609675i | 0.986599 | − | 0.163163i | \(-0.0521698\pi\) |
−0.634603 | + | 0.772838i | \(0.718836\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −41.0000 | + | 71.0141i | −0.179039 | + | 0.310105i | −0.941552 | − | 0.336868i | \(-0.890632\pi\) |
0.762512 | + | 0.646974i | \(0.223966\pi\) | |||||||
\(230\) | 169.488 | − | 13.1899i | 0.736902 | − | 0.0573472i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 192.333 | 0.825464 | 0.412732 | − | 0.910853i | \(-0.364575\pi\) | ||||
0.412732 | + | 0.910853i | \(0.364575\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 100.000 | + | 145.774i | 0.425532 | + | 0.620314i | ||||
\(236\) | 28.5657 | − | 16.4924i | 0.121041 | − | 0.0698831i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −80.7960 | − | 46.6476i | −0.339479 | − | 0.195998i | ||||
\(239\) | 399.920 | + | 230.894i | 1.67331 | + | 0.966083i | 0.965768 | + | 0.259407i | \(0.0835273\pi\) |
0.707537 | + | 0.706676i | \(0.249806\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −152.000 | − | 263.272i | −0.630705 | − | 1.09241i | −0.987408 | − | 0.158196i | \(-0.949432\pi\) |
0.356702 | − | 0.934218i | \(-0.383901\pi\) | |||||||
\(242\) | −213.546 | −0.882423 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −32.0000 | −0.131148 | ||||||||
\(245\) | −32.3475 | + | 67.6656i | −0.132031 | + | 0.276186i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 45.2548 | − | 78.3837i | 0.182479 | − | 0.316063i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −121.348 | − | 128.548i | −0.485393 | − | 0.514192i | ||||
\(251\) | 346.341i | 1.37984i | 0.723884 | + | 0.689922i | \(0.242355\pi\) | ||||
−0.723884 | + | 0.689922i | \(0.757645\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 396.505i | 1.56721i | ||||||||
\(254\) | −49.9900 | + | 28.8617i | −0.196811 | + | 0.113629i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.00000 | + | 13.8564i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −195.161 | + | 338.030i | −0.759383 | + | 1.31529i | 0.183782 | + | 0.982967i | \(0.441166\pi\) |
−0.943166 | + | 0.332323i | \(0.892168\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 68.0000 | + | 117.779i | 0.262548 | + | 0.454747i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 69.9714i | 0.267066i | ||||||||
\(263\) | −147.785 | − | 255.972i | −0.561921 | − | 0.973276i | −0.997329 | − | 0.0730428i | \(-0.976729\pi\) |
0.435407 | − | 0.900234i | \(-0.356604\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 338.388 | − | 26.3340i | 1.27694 | − | 0.0993737i | ||||
\(266\) | 85.6971 | + | 49.4773i | 0.322170 | + | 0.186005i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 10.0995 | − | 5.83095i | 0.0376847 | − | 0.0217573i | ||||
\(269\) | 74.2159i | 0.275896i | 0.990440 | + | 0.137948i | \(0.0440506\pi\) | ||||
−0.990440 | + | 0.137948i | \(0.955949\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 40.0000 | 0.147601 | 0.0738007 | − | 0.997273i | \(-0.476487\pi\) | ||||
0.0738007 | + | 0.997273i | \(0.476487\pi\) | |||||||
\(272\) | 22.6274 | + | 39.1918i | 0.0831890 | + | 0.144088i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 36.0000 | − | 62.3538i | 0.131387 | − | 0.227569i | ||||
\(275\) | 320.879 | − | 258.915i | 1.16683 | − | 0.941508i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −383.781 | + | 221.576i | −1.38549 | + | 0.799914i | −0.992803 | − | 0.119758i | \(-0.961788\pi\) |
−0.392688 | + | 0.919672i | \(0.628455\pi\) | |||||||
\(278\) | 62.2254 | 0.223832 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −68.0000 | + | 46.6476i | −0.242857 | + | 0.166599i | ||||
\(281\) | 449.910 | − | 259.756i | 1.60110 | − | 0.924397i | 0.609836 | − | 0.792528i | \(-0.291235\pi\) |
0.991267 | − | 0.131870i | \(-0.0420981\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 277.736 | + | 160.351i | 0.981401 | + | 0.566612i | 0.902693 | − | 0.430286i | \(-0.141587\pi\) |
0.0787079 | + | 0.996898i | \(0.474921\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −336.583 | −1.17276 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −161.000 | −0.557093 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 201.990 | + | 116.619i | 0.691747 | + | 0.399380i | ||||
\(293\) | −42.4264 | + | 73.4847i | −0.144800 | + | 0.250801i | −0.929298 | − | 0.369330i | \(-0.879587\pi\) |
0.784498 | + | 0.620131i | \(0.212921\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −74.3980 | − | 35.5659i | −0.252197 | − | 0.120562i | ||||
\(296\) | − | 65.9697i | − | 0.222871i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 11.6619i | − | 0.0391339i | ||||||
\(299\) | 0 | 0 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −119.000 | + | 206.114i | −0.395349 | + | 0.684764i | ||||
\(302\) | −96.1665 | + | 166.565i | −0.318432 | + | 0.551541i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −24.0000 | − | 41.5692i | −0.0789474 | − | 0.136741i | ||||
\(305\) | 45.2548 | + | 65.9697i | 0.148377 | + | 0.216294i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 367.350i | 1.19658i | 0.801280 | + | 0.598290i | \(0.204153\pi\) | ||||
−0.801280 | + | 0.598290i | \(0.795847\pi\) | |||||||
\(308\) | −96.1665 | − | 166.565i | −0.312229 | − | 0.540796i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −225.592 | + | 17.5560i | −0.727716 | + | 0.0566323i | ||||
\(311\) | 85.6971 | + | 49.4773i | 0.275554 | + | 0.159091i | 0.631409 | − | 0.775450i | \(-0.282477\pi\) |
−0.355855 | + | 0.934541i | \(0.615810\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −161.592 | + | 93.2952i | −0.516269 | + | 0.298068i | −0.735407 | − | 0.677626i | \(-0.763009\pi\) |
0.219138 | + | 0.975694i | \(0.429675\pi\) | |||||||
\(314\) | − | 164.924i | − | 0.525236i | ||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −144.000 | −0.455696 | ||||||||
\(317\) | 260.215 | + | 450.706i | 0.820868 | + | 1.42179i | 0.905036 | + | 0.425334i | \(0.139843\pi\) |
−0.0841679 | + | 0.996452i | \(0.526823\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | 39.8794 | − | 3.10350i | 0.124623 | − | 0.00969842i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −171.692 | + | 99.1262i | −0.533204 | + | 0.307845i | ||||
\(323\) | −135.765 | −0.420324 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 121.404 | − | 70.0928i | 0.372406 | − | 0.215009i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 141.393 | + | 81.6333i | 0.431076 | + | 0.248882i | ||||
\(329\) | −178.536 | − | 103.078i | −0.542662 | − | 0.313306i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −146.000 | − | 252.879i | −0.441088 | − | 0.763986i | 0.556683 | − | 0.830725i | \(-0.312074\pi\) |
−0.997770 | + | 0.0667389i | \(0.978741\pi\) | |||||||
\(332\) | −87.6812 | −0.264100 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 414.000 | 1.23952 | ||||||||
\(335\) | −26.3037 | − | 12.5745i | −0.0785184 | − | 0.0375357i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −282.786 | − | 163.267i | −0.839128 | − | 0.484471i | 0.0178397 | − | 0.999841i | \(-0.494321\pi\) |
−0.856968 | + | 0.515370i | \(0.827654\pi\) | |||||||
\(338\) | −119.501 | + | 206.982i | −0.353553 | + | 0.612372i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 48.7960 | − | 102.073i | 0.143518 | − | 0.300215i | ||||
\(341\) | − | 527.758i | − | 1.54768i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | − | 373.181i | − | 1.08799i | ||||||
\(344\) | 99.9800 | − | 57.7235i | 0.290640 | − | 0.167801i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 116.000 | − | 200.918i | 0.335260 | − | 0.580688i | ||||
\(347\) | −197.283 | + | 341.704i | −0.568538 | + | 0.984737i | 0.428173 | + | 0.903697i | \(0.359158\pi\) |
−0.996711 | + | 0.0810402i | \(0.974176\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −127.000 | − | 219.970i | −0.363897 | − | 0.630288i | 0.624702 | − | 0.780864i | \(-0.285221\pi\) |
−0.988598 | + | 0.150576i | \(0.951887\pi\) | |||||||
\(350\) | 192.333 | + | 74.2159i | 0.549523 | + | 0.212045i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 93.2952i | 0.265043i | ||||||||
\(353\) | −172.534 | − | 298.838i | −0.488765 | − | 0.846566i | 0.511151 | − | 0.859491i | \(-0.329219\pi\) |
−0.999916 | + | 0.0129248i | \(0.995886\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 114.263 | + | 65.9697i | 0.320963 | + | 0.185308i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 20.1990 | − | 11.6619i | 0.0564218 | − | 0.0325752i | ||||
\(359\) | 395.818i | 1.10256i | 0.834321 | + | 0.551279i | \(0.185860\pi\) | ||||
−0.834321 | + | 0.551279i | \(0.814140\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −217.000 | −0.601108 | ||||||||
\(362\) | 57.9828 | + | 100.429i | 0.160173 | + | 0.277428i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −45.2408 | − | 581.337i | −0.123947 | − | 1.59271i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 358.532 | − | 206.999i | 0.976928 | − | 0.564029i | 0.0755864 | − | 0.997139i | \(-0.475917\pi\) |
0.901341 | + | 0.433110i | \(0.142584\pi\) | |||||||
\(368\) | 96.1665 | 0.261322 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −136.000 | + | 93.2952i | −0.367568 | + | 0.252149i | ||||
\(371\) | −342.789 | + | 197.909i | −0.923958 | + | 0.533448i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −545.373 | − | 314.871i | −1.46213 | − | 0.844159i | −0.463017 | − | 0.886349i | \(-0.653233\pi\) |
−0.999110 | + | 0.0421901i | \(0.986566\pi\) | |||||||
\(374\) | 228.526 | + | 131.939i | 0.611031 | + | 0.352779i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 50.0000 | + | 86.6025i | 0.132979 | + | 0.230326i | ||||
\(377\) | 0 | 0 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −572.000 | −1.50923 | −0.754617 | − | 0.656165i | \(-0.772178\pi\) | ||||
−0.754617 | + | 0.656165i | \(0.772178\pi\) | |||||||
\(380\) | −51.7560 | + | 108.265i | −0.136200 | + | 0.284908i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 363.582 | + | 209.914i | 0.951786 | + | 0.549514i | ||||
\(383\) | 96.8736 | − | 167.790i | 0.252934 | − | 0.438094i | −0.711398 | − | 0.702789i | \(-0.751938\pi\) |
0.964332 | + | 0.264695i | \(0.0852712\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −207.383 | + | 433.811i | −0.538658 | + | 1.12678i | ||||
\(386\) | − | 164.924i | − | 0.427265i | ||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 326.533i | 0.841581i | ||||||||
\(389\) | −335.647 | + | 193.786i | −0.862846 | + | 0.498164i | −0.864964 | − | 0.501833i | \(-0.832659\pi\) |
0.00211824 | + | 0.999998i | \(0.499326\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 136.000 | − | 235.559i | 0.347826 | − | 0.602452i | ||||
\(392\) | −21.2132 | + | 36.7423i | −0.0541153 | + | 0.0937305i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 136.000 | + | 235.559i | 0.345178 | + | 0.597865i | ||||
\(395\) | 203.647 | + | 296.864i | 0.515561 | + | 0.751553i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − | 513.124i | − | 1.29250i | −0.763124 | − | 0.646252i | \(-0.776336\pi\) | ||
0.763124 | − | 0.646252i | \(-0.223664\pi\) | |||||||
\(398\) | 220.617 | + | 382.120i | 0.554315 | + | 0.960102i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −62.7960 | − | 77.8245i | −0.156990 | − | 0.194561i | ||||
\(401\) | 57.1314 | + | 32.9848i | 0.142472 | + | 0.0822565i | 0.569542 | − | 0.821962i | \(-0.307121\pi\) |
−0.427069 | + | 0.904219i | \(0.640454\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 0 | 0 | ||||||||
\(404\) | 263.879i | 0.653165i | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −192.333 | − | 333.131i | −0.472563 | − | 0.818503i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −320.000 | + | 554.256i | −0.782396 | + | 1.35515i | 0.148146 | + | 0.988965i | \(0.452669\pi\) |
−0.930542 | + | 0.366184i | \(0.880664\pi\) | |||||||
\(410\) | −31.6686 | − | 406.936i | −0.0772404 | − | 0.992527i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 171.692 | − | 99.1262i | 0.416727 | − | 0.240598i | ||||
\(413\) | 96.1665 | 0.232849 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 124.000 | + | 180.760i | 0.298795 | + | 0.435565i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −242.388 | − | 139.943i | −0.579876 | − | 0.334791i | ||||
\(419\) | −499.900 | − | 288.617i | −1.19308 | − | 0.688824i | −0.234075 | − | 0.972218i | \(-0.575206\pi\) |
−0.959004 | + | 0.283394i | \(0.908540\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 328.000 | + | 568.113i | 0.779097 | + | 1.34944i | 0.932463 | + | 0.361267i | \(0.117656\pi\) |
−0.153365 | + | 0.988170i | \(0.549011\pi\) | |||||||
\(422\) | −16.9706 | −0.0402146 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 192.000 | 0.452830 | ||||||||
\(425\) | −279.437 | + | 43.7577i | −0.657500 | + | 0.102959i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −80.7960 | − | 46.6476i | −0.189218 | − | 0.109245i | ||||
\(428\) | 55.1543 | − | 95.5301i | 0.128865 | − | 0.223201i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −260.393 | − | 124.481i | −0.605565 | − | 0.289490i | ||||
\(431\) | 362.833i | 0.841841i | 0.907098 | + | 0.420920i | \(0.138293\pi\) | ||||
−0.907098 | + | 0.420920i | \(0.861707\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 163.267i | 0.377059i | 0.982068 | + | 0.188530i | \(0.0603722\pi\) | ||||
−0.982068 | + | 0.188530i | \(0.939628\pi\) | |||||||
\(434\) | 228.526 | − | 131.939i | 0.526557 | − | 0.304008i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −80.0000 | + | 138.564i | −0.183486 | + | 0.317807i | ||||
\(437\) | −144.250 | + | 249.848i | −0.330091 | + | 0.571734i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −216.000 | − | 374.123i | −0.492027 | − | 0.852216i | 0.507931 | − | 0.861398i | \(-0.330411\pi\) |
−0.999958 | + | 0.00918170i | \(0.997077\pi\) | |||||||
\(440\) | 192.333 | − | 131.939i | 0.437121 | − | 0.299862i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −61.5183 | − | 106.553i | −0.138867 | − | 0.240526i | 0.788201 | − | 0.615418i | \(-0.211013\pi\) |
−0.927068 | + | 0.374893i | \(0.877680\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −25.5921 | − | 328.854i | −0.0575103 | − | 0.738998i | ||||
\(446\) | −49.9900 | − | 28.8617i | −0.112085 | − | 0.0647124i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −40.3980 | + | 23.3238i | −0.0901742 | + | 0.0520621i | ||||
\(449\) | − | 865.852i | − | 1.92840i | −0.265174 | − | 0.964201i | \(-0.585429\pi\) | ||
0.265174 | − | 0.964201i | \(-0.414571\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 952.000 | 2.11086 | ||||||||
\(452\) | 152.735 | + | 264.545i | 0.337909 | + | 0.585276i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 113.000 | − | 195.722i | 0.248899 | − | 0.431105i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 403.980 | − | 233.238i | 0.883983 | − | 0.510368i | 0.0120133 | − | 0.999928i | \(-0.496176\pi\) |
0.871970 | + | 0.489560i | \(0.162843\pi\) | |||||||
\(458\) | 115.966 | 0.253200 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −136.000 | − | 198.252i | −0.295652 | − | 0.430983i | ||||
\(461\) | 0 | 0 | −0.500000 | − | 0.866025i | \(-0.666667\pi\) | ||||
0.500000 | + | 0.866025i | \(0.333333\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 530.224 | + | 306.125i | 1.14519 | + | 0.661177i | 0.947711 | − | 0.319130i | \(-0.103391\pi\) |
0.197481 | + | 0.980307i | \(0.436724\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −136.000 | − | 235.559i | −0.291845 | − | 0.505491i | ||||
\(467\) | −767.918 | −1.64436 | −0.822182 | − | 0.569225i | \(-0.807243\pi\) | ||||
−0.822182 | + | 0.569225i | \(0.807243\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 34.0000 | 0.0724947 | ||||||||
\(470\) | 107.825 | − | 225.552i | 0.229415 | − | 0.479898i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −40.3980 | − | 23.3238i | −0.0855890 | − | 0.0494148i | ||||
\(473\) | 336.583 | − | 582.979i | 0.711592 | − | 1.23251i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 296.388 | − | 46.4121i | 0.623975 | − | 0.0977097i | ||||
\(476\) | 131.939i | 0.277184i | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | − | 653.067i | − | 1.36625i | ||||||
\(479\) | −485.617 | + | 280.371i | −1.01381 | + | 0.585326i | −0.912306 | − | 0.409509i | \(-0.865700\pi\) |
−0.101508 | + | 0.994835i | \(0.532367\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 0 | 0 | ||||||||
\(482\) | −214.960 | + | 372.322i | −0.445976 | + | 0.772453i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 151.000 | + | 261.540i | 0.311983 | + | 0.540371i | ||||
\(485\) | 673.166 | − | 461.788i | 1.38797 | − | 0.952140i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 647.236i | − | 1.32903i | −0.747277 | − | 0.664513i | \(-0.768639\pi\) | ||
0.747277 | − | 0.664513i | \(-0.231361\pi\) | |||||||
\(488\) | 22.6274 | + | 39.1918i | 0.0463677 | + | 0.0803111i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 105.746 | − | 8.22939i | 0.215809 | − | 0.0167947i | ||||
\(491\) | −299.940 | − | 173.170i | −0.610876 | − | 0.352689i | 0.162432 | − | 0.986720i | \(-0.448066\pi\) |
−0.773308 | + | 0.634030i | \(0.781399\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0 | 0 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −128.000 | −0.258065 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 330.000 | − | 571.577i | 0.661323 | − | 1.14544i | −0.318946 | − | 0.947773i | \(-0.603329\pi\) |
0.980268 | − | 0.197671i | \(-0.0633379\pi\) | |||||||
\(500\) | −71.6324 | + | 239.518i | −0.143265 | + | 0.479036i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 424.179 | − | 244.900i | 0.844979 | − | 0.487849i | ||||
\(503\) | −182.434 | −0.362691 | −0.181345 | − | 0.983419i | \(-0.558045\pi\) | ||||
−0.181345 | + | 0.983419i | \(0.558045\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 544.000 | − | 373.181i | 1.07723 | − | 0.738972i | ||||
\(506\) | 485.617 | − | 280.371i | 0.959718 | − | 0.554093i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 70.6965 | + | 40.8167i | 0.139166 | + | 0.0803478i | ||||
\(509\) | −342.789 | − | 197.909i | −0.673455 | − | 0.388819i | 0.123930 | − | 0.992291i | \(-0.460450\pi\) |
−0.797384 | + | 0.603472i | \(0.793784\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 340.000 | + | 588.897i | 0.665362 | + | 1.15244i | ||||
\(512\) | 22.6274 | 0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 552.000 | 1.07393 | ||||||||
\(515\) | −447.162 | − | 213.766i | −0.868277 | − | 0.415079i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 504.975 | + | 291.548i | 0.976741 | + | 0.563922i | ||||
\(518\) | 96.1665 | − | 166.565i | 0.185650 | − | 0.321555i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 131.939i | 0.253243i | 0.991951 | + | 0.126621i | \(0.0404133\pi\) | ||||
−0.991951 | + | 0.126621i | \(0.959587\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | − | 145.774i | − | 0.278726i | −0.990241 | − | 0.139363i | \(-0.955494\pi\) | ||
0.990241 | − | 0.139363i | \(-0.0445055\pi\) | |||||||
\(524\) | 85.6971 | − | 49.4773i | 0.163544 | − | 0.0944223i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −209.000 | + | 361.999i | −0.397338 | + | 0.688210i | ||||
\(527\) | −181.019 | + | 313.535i | −0.343490 | + | 0.594942i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −24.5000 | − | 42.4352i | −0.0463138 | − | 0.0802179i | ||||
\(530\) | −271.529 | − | 395.818i | −0.512319 | − | 0.746827i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | − | 139.943i | − | 0.263050i | ||||||
\(533\) | 0 | 0 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −274.940 | + | 21.3964i | −0.513907 | + | 0.0399933i | ||||
\(536\) | −14.2829 | − | 8.24621i | −0.0266471 | − | 0.0153847i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 90.8955 | − | 52.4786i | 0.168951 | − | 0.0975438i | ||||
\(539\) | 247.386i | 0.458973i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 418.000 | 0.772643 | 0.386322 | − | 0.922364i | \(-0.373745\pi\) | ||||
0.386322 | + | 0.922364i | \(0.373745\pi\) | |||||||
\(542\) | −28.2843 | − | 48.9898i | −0.0521850 | − | 0.0903871i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 32.0000 | − | 55.4256i | 0.0588235 | − | 0.101885i | ||||
\(545\) | 398.794 | − | 31.0350i | 0.731733 | − | 0.0569449i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −247.438 | + | 142.858i | −0.452354 | + | 0.261167i | −0.708824 | − | 0.705385i | \(-0.750774\pi\) |
0.256470 | + | 0.966552i | \(0.417441\pi\) | |||||||
\(548\) | −101.823 | −0.185809 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −544.000 | − | 209.914i | −0.989091 | − | 0.381662i | ||||
\(551\) | 0 | 0 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −363.582 | − | 209.914i | −0.657472 | − | 0.379592i | ||||
\(554\) | 542.749 | + | 313.356i | 0.979691 | + | 0.565625i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −44.0000 | − | 76.2102i | −0.0791367 | − | 0.137069i | ||||
\(557\) | 424.264 | 0.761695 | 0.380847 | − | 0.924638i | \(-0.375632\pi\) | ||||
0.380847 | + | 0.924638i | \(0.375632\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 0 | 0 | ||||||||
\(560\) | 105.215 | + | 50.2978i | 0.187883 | + | 0.0898175i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −636.269 | − | 367.350i | −1.13215 | − | 0.653648i | ||||
\(563\) | 406.586 | − | 704.228i | 0.722178 | − | 1.25085i | −0.237947 | − | 0.971278i | \(-0.576474\pi\) |
0.960125 | − | 0.279571i | \(-0.0901923\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 329.373 | − | 688.994i | 0.582962 | − | 1.21946i | ||||
\(566\) | − | 453.542i | − | 0.801310i | ||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 392.779 | − | 226.771i | 0.690296 | − | 0.398543i | −0.113427 | − | 0.993546i | \(-0.536183\pi\) |
0.803723 | + | 0.595004i | \(0.202849\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −110.000 | + | 190.526i | −0.192644 | + | 0.333670i | −0.946126 | − | 0.323799i | \(-0.895040\pi\) |
0.753481 | + | 0.657469i | \(0.228373\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 238.000 | + | 412.228i | 0.414634 | + | 0.718167i | ||||
\(575\) | −216.375 | + | 560.742i | −0.376304 | + | 0.975204i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 46.6476i | 0.0808451i | 0.999183 | + | 0.0404225i | \(0.0128704\pi\) | ||||
−0.999183 | + | 0.0404225i | \(0.987130\pi\) | |||||||
\(578\) | 113.844 | + | 197.184i | 0.196962 | + | 0.341149i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −221.384 | − | 127.816i | −0.381040 | − | 0.219994i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 969.552 | − | 559.771i | 1.66304 | − | 0.960157i | ||||
\(584\) | − | 329.848i | − | 0.564809i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 120.000 | 0.204778 | ||||||||
\(587\) | −27.5772 | − | 47.7650i | −0.0469798 | − | 0.0813715i | 0.841579 | − | 0.540134i | \(-0.181626\pi\) |
−0.888559 | + | 0.458762i | \(0.848293\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 192.000 | − | 332.554i | 0.325976 | − | 0.564607i | ||||
\(590\) | 9.04817 | + | 116.267i | 0.0153359 | + | 0.197064i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −80.7960 | + | 46.6476i | −0.136480 | + | 0.0787966i | ||||
\(593\) | 390.323 | 0.658217 | 0.329109 | − | 0.944292i | \(-0.393252\pi\) | ||||
0.329109 | + | 0.944292i | \(0.393252\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 272.000 | − | 186.590i | 0.457143 | − | 0.313597i | ||||
\(596\) | −14.2829 | + | 8.24621i | −0.0239645 | + | 0.0138359i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 85.6971 | + | 49.4773i | 0.143067 | + | 0.0825998i | 0.569825 | − | 0.821766i | \(-0.307011\pi\) |
−0.426758 | + | 0.904366i | \(0.640344\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 440.000 | + | 762.102i | 0.732113 | + | 1.26806i | 0.955978 | + | 0.293437i | \(0.0947991\pi\) |
−0.223865 | + | 0.974620i | \(0.571868\pi\) | |||||||
\(602\) | 336.583 | 0.559108 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 272.000 | 0.450331 | ||||||||
\(605\) | 325.632 | − | 681.167i | 0.538234 | − | 1.12590i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −368.632 | − | 212.830i | −0.607301 | − | 0.350626i | 0.164607 | − | 0.986359i | \(-0.447364\pi\) |
−0.771909 | + | 0.635734i | \(0.780698\pi\) | |||||||
\(608\) | −33.9411 | + | 58.7878i | −0.0558242 | + | 0.0966904i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 48.7960 | − | 102.073i | 0.0799935 | − | 0.167333i | ||||
\(611\) | 0 | 0 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − | 606.419i | − | 0.989264i | −0.869102 | − | 0.494632i | \(-0.835303\pi\) | ||
0.869102 | − | 0.494632i | \(-0.164697\pi\) | |||||||
\(614\) | 449.910 | − | 259.756i | 0.732752 | − | 0.423055i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −136.000 | + | 235.559i | −0.220779 | + | 0.382401i | ||||
\(617\) | 56.5685 | − | 97.9796i | 0.0916832 | − | 0.158800i | −0.816536 | − | 0.577294i | \(-0.804109\pi\) |
0.908220 | + | 0.418494i | \(0.137442\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −26.0000 | − | 45.0333i | −0.0420032 | − | 0.0727517i | 0.844259 | − | 0.535935i | \(-0.180041\pi\) |
−0.886263 | + | 0.463183i | \(0.846707\pi\) | |||||||
\(620\) | 181.019 | + | 263.879i | 0.291967 | + | 0.425611i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | − | 139.943i | − | 0.224988i | ||||||
\(623\) | 192.333 | + | 333.131i | 0.308721 | + | 0.534720i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 595.082 | − | 191.055i | 0.952131 | − | 0.305689i | ||||
\(626\) | 228.526 | + | 131.939i | 0.365057 | + | 0.210766i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −201.990 | + | 116.619i | −0.321640 | + | 0.185699i | ||||
\(629\) | 263.879i | 0.419521i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −544.000 | −0.862124 | −0.431062 | − | 0.902322i | \(-0.641861\pi\) | ||||
−0.431062 | + | 0.902322i | \(0.641861\pi\) | |||||||
\(632\) | 101.823 | + | 176.363i | 0.161113 | + | 0.279056i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 368.000 | − | 637.395i | 0.580442 | − | 1.00535i | ||||
\(635\) | −15.8343 | − | 203.468i | −0.0249359 | − | 0.320422i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −32.0000 | − | 46.6476i | −0.0500000 | − | 0.0728869i | ||||
\(641\) | −735.567 | + | 424.680i | −1.14753 | + | 0.662527i | −0.948284 | − | 0.317422i | \(-0.897183\pi\) |
−0.199246 | + | 0.979949i | \(0.563849\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −318.134 | − | 183.675i | −0.494766 | − | 0.285653i | 0.231784 | − | 0.972767i | \(-0.425544\pi\) |
−0.726549 | + | 0.687114i | \(0.758877\pi\) | |||||||
\(644\) | 242.809 | + | 140.186i | 0.377032 | + | 0.217679i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 96.0000 | + | 166.277i | 0.148607 | + | 0.257395i | ||||
\(647\) | −971.565 | −1.50165 | −0.750823 | − | 0.660504i | \(-0.770343\pi\) | ||||
−0.750823 | + | 0.660504i | \(0.770343\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −272.000 | −0.419106 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −171.692 | − | 99.1262i | −0.263331 | − | 0.152034i | ||||
\(653\) | −175.362 | + | 303.737i | −0.268549 | + | 0.465140i | −0.968487 | − | 0.249063i | \(-0.919877\pi\) |
0.699938 | + | 0.714203i | \(0.253211\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −223.194 | − | 106.698i | −0.340754 | − | 0.162897i | ||||
\(656\) | − | 230.894i | − | 0.351972i | ||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 291.548i | 0.443081i | ||||||||
\(659\) | −499.900 | + | 288.617i | −0.758574 | + | 0.437963i | −0.828783 | − | 0.559570i | \(-0.810966\pi\) |
0.0702098 | + | 0.997532i | \(0.477633\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −40.0000 | + | 69.2820i | −0.0605144 | + | 0.104814i | −0.894695 | − | 0.446677i | \(-0.852607\pi\) |
0.834181 | + | 0.551491i | \(0.185941\pi\) | |||||||
\(662\) | −206.475 | + | 357.626i | −0.311896 | + | 0.540220i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 62.0000 | + | 107.387i | 0.0933735 | + | 0.161728i | ||||
\(665\) | −288.500 | + | 197.909i | −0.433834 | + | 0.297608i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 0 | 0 | ||||||||
\(668\) | −292.742 | − | 507.044i | −0.438237 | − | 0.759048i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.19901 | + | 41.1068i | 0.00477464 | + | 0.0613534i | ||||
\(671\) | 228.526 | + | 131.939i | 0.340575 | + | 0.196631i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −424.179 | + | 244.900i | −0.630281 | + | 0.363893i | −0.780861 | − | 0.624705i | \(-0.785219\pi\) |
0.150580 | + | 0.988598i | \(0.451886\pi\) | |||||||
\(674\) | 461.788i | 0.685145i | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 338.000 | 0.500000 | ||||||||
\(677\) | −96.1665 | − | 166.565i | −0.142048 | − | 0.246034i | 0.786220 | − | 0.617947i | \(-0.212035\pi\) |
−0.928268 | + | 0.371913i | \(0.878702\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −476.000 | + | 824.456i | −0.701031 | + | 1.21422i | ||||
\(680\) | −159.518 | + | 12.4140i | −0.234585 | + | 0.0182559i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −646.368 | + | 373.181i | −0.947754 | + | 0.547186i | ||||
\(683\) | 236.174 | 0.345789 | 0.172894 | − | 0.984940i | \(-0.444688\pi\) | ||||
0.172894 | + | 0.984940i | \(0.444688\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 144.000 | + | 209.914i | 0.210219 | + | 0.306444i | ||||
\(686\) | −457.051 | + | 263.879i | −0.666256 | + | 0.384663i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −141.393 | − | 81.6333i | −0.205513 | − | 0.118653i | ||||
\(689\) | 0 | 0 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 274.000 | + | 474.582i | 0.396527 | + | 0.686805i | 0.993295 | − | 0.115609i | \(-0.0368821\pi\) |
−0.596768 | + | 0.802414i | \(0.703549\pi\) | |||||||
\(692\) | −328.098 | −0.474129 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 558.000 | 0.804035 | ||||||||
\(695\) | −94.8860 | + | 198.486i | −0.136527 | + | 0.285591i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −565.572 | − | 326.533i | −0.811438 | − | 0.468484i | ||||
\(698\) | −179.605 | + | 311.085i | −0.257314 | + | 0.445681i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −45.1045 | − | 288.037i | −0.0644349 | − | 0.411482i | ||||
\(701\) | − | 57.7235i | − | 0.0823445i | −0.999152 | − | 0.0411722i | \(-0.986891\pi\) | ||
0.999152 | − | 0.0411722i | \(-0.0131092\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | − | 279.886i | − | 0.398130i | ||||||
\(704\) | 114.263 | − | 65.9697i | 0.162305 | − | 0.0937069i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −244.000 | + | 422.620i | −0.345609 | + | 0.598612i | ||||
\(707\) | −384.666 | + | 666.261i | −0.544082 | + | 0.942378i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −615.000 | − | 1065.21i | −0.867419 | − | 1.50241i | −0.864625 | − | 0.502418i | \(-0.832444\pi\) |
−0.00279375 | − | 0.999996i | \(-0.500889\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | − | 186.590i | − | 0.262065i | ||||||
\(713\) | 384.666 | + | 666.261i | 0.539504 | + | 0.934448i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −28.5657 | − | 16.4924i | −0.0398962 | − | 0.0230341i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 484.776 | − | 279.886i | 0.675176 | − | 0.389813i | ||||
\(719\) | 626.712i | 0.871644i | 0.900033 | + | 0.435822i | \(0.143542\pi\) | ||||
−0.900033 | + | 0.435822i | \(0.856458\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 578.000 | 0.801664 | ||||||||
\(722\) | 153.442 | + | 265.770i | 0.212524 | + | 0.368102i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 82.0000 | − | 142.028i | 0.113260 | − | 0.196172i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −318.134 | + | 183.675i | −0.437599 | + | 0.252648i | −0.702579 | − | 0.711606i | \(-0.747968\pi\) |
0.264980 | + | 0.964254i | \(0.414635\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −680.000 | + | 466.476i | −0.931507 | + | 0.639008i | ||||
\(731\) | −399.920 | + | 230.894i | −0.547086 | + | 0.315860i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 868.557 | + | 501.462i | 1.18494 | + | 0.684123i | 0.957151 | − | 0.289589i | \(-0.0935186\pi\) |
0.227784 | + | 0.973712i | \(0.426852\pi\) | |||||||
\(734\) | −507.041 | − | 292.740i | −0.690792 | − | 0.398829i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −68.0000 | − | 117.779i | −0.0923913 | − | 0.160026i | ||||
\(737\) | −96.1665 | −0.130484 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −340.000 | −0.460081 | −0.230041 | − | 0.973181i | \(-0.573886\pi\) | ||||
−0.230041 | + | 0.973181i | \(0.573886\pi\) | |||||||
\(740\) | 210.429 | + | 100.596i | 0.284364 | + | 0.135940i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 484.776 | + | 279.886i | 0.653337 | + | 0.377204i | ||||
\(743\) | −621.547 | + | 1076.55i | −0.836537 | + | 1.44892i | 0.0562362 | + | 0.998417i | \(0.482090\pi\) |
−0.892773 | + | 0.450507i | \(0.851243\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 37.1990 | + | 17.7830i | 0.0499316 | + | 0.0238697i | ||||
\(746\) | 890.591i | 1.19382i | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | − | 373.181i | − | 0.498905i | ||||||
\(749\) | 278.516 | − | 160.801i | 0.371850 | − | 0.214688i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 260.000 | − | 450.333i | 0.346205 | − | 0.599645i | −0.639367 | − | 0.768902i | \(-0.720803\pi\) |
0.985572 | + | 0.169257i | \(0.0541368\pi\) | |||||||
\(752\) | 70.7107 | − | 122.474i | 0.0940302 | − | 0.162865i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −384.666 | − | 560.742i | −0.509492 | − | 0.742705i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 816.333i | 1.07838i | 0.842184 | + | 0.539190i | \(0.181269\pi\) | ||||
−0.842184 | + | 0.539190i | \(0.818731\pi\) | |||||||
\(758\) | 404.465 | + | 700.554i | 0.533595 | + | 0.924214i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 169.194 | − | 13.1670i | 0.222624 | − | 0.0173250i | ||||
\(761\) | −342.789 | − | 197.909i | −0.450445 | − | 0.260064i | 0.257573 | − | 0.966259i | \(-0.417077\pi\) |
−0.708018 | + | 0.706194i | \(0.750410\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −403.980 | + | 233.238i | −0.529463 | + | 0.305686i | ||||
\(764\) | − | 593.727i | − | 0.777130i | ||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −274.000 | −0.357702 | ||||||||
\(767\) | 0 | 0 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 153.000 | − | 265.004i | 0.198960 | − | 0.344608i | −0.749232 | − | 0.662308i | \(-0.769577\pi\) |
0.948191 | + | 0.317700i | \(0.102910\pi\) | |||||||
\(770\) | 677.950 | − | 52.7594i | 0.880455 | − | 0.0685187i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −201.990 | + | 116.619i | −0.261645 | + | 0.151061i | ||||
\(773\) | 305.470 | 0.395175 | 0.197587 | − | 0.980285i | \(-0.436689\pi\) | ||||
0.197587 | + | 0.980285i | \(0.436689\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 288.000 | − | 746.362i | 0.371613 | − | 0.963048i | ||||
\(776\) | 399.920 | − | 230.894i | 0.515361 | − | 0.297544i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 474.677 | + | 274.055i | 0.610124 | + | 0.352255i | ||||
\(779\) | 599.880 | + | 346.341i | 0.770064 | + | 0.444597i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 0 | 0 | ||||||||
\(782\) | −384.666 | −0.491900 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 60.0000 | 0.0765306 | ||||||||
\(785\) | 526.073 | + | 251.489i | 0.670157 | + | 0.320368i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 489.826 | + | 282.801i | 0.622396 | + | 0.359341i | 0.777801 | − | 0.628510i | \(-0.216335\pi\) |
−0.155405 | + | 0.987851i | \(0.549668\pi\) | |||||||
\(788\) | 192.333 | − | 333.131i | 0.244077 | − | 0.422755i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 219.582 | − | 459.330i | 0.277952 | − | 0.581430i | ||||
\(791\) | 890.591i | 1.12590i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 0 | 0 | ||||||||
\(794\) | −628.446 | + | 362.833i | −0.791493 | + | 0.456969i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 312.000 | − | 540.400i | 0.391960 | − | 0.678894i | ||||
\(797\) | 531.744 | − | 921.008i | 0.667182 | − | 1.15559i | −0.311506 | − | 0.950244i | \(-0.600834\pi\) |
0.978689 | − | 0.205350i | \(-0.0658331\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −200.000 | − | 346.410i | −0.250313 | − | 0.433555i | ||||
\(800\) | −50.9117 | + | 131.939i | −0.0636396 | + | 0.164924i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | − | 93.2952i | − | 0.116328i | ||||||
\(803\) | −961.665 | − | 1665.65i | −1.19759 | − | 2.07429i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −54.3832 | − | 698.815i | −0.0675567 | − | 0.868093i | ||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 323.184 | − | 186.590i | 0.399980 | − | 0.230929i | ||||
\(809\) | − | 791.636i | − | 0.978537i | −0.872133 | − | 0.489268i | \(-0.837264\pi\) | ||
0.872133 | − | 0.489268i | \(-0.162736\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 436.000 | 0.537608 | 0.268804 | − | 0.963195i | \(-0.413372\pi\) | ||||
0.268804 | + | 0.963195i | \(0.413372\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −272.000 | + | 471.118i | −0.334152 | + | 0.578769i | ||||
\(815\) | 38.4547 | + | 494.137i | 0.0471837 | + | 0.606303i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 424.179 | − | 244.900i | 0.519191 | − | 0.299755i | ||||
\(818\) | 905.097 | 1.10648 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −476.000 | + | 326.533i | −0.580488 | + | 0.398211i | ||||
\(821\) | 692.719 | − | 399.941i | 0.843750 | − | 0.487139i | −0.0147873 | − | 0.999891i | \(-0.504707\pi\) |
0.858537 | + | 0.512752i | \(0.171374\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −1136.19 | − | 655.982i | −1.38055 | − | 0.797062i | −0.388327 | − | 0.921522i | \(-0.626947\pi\) |
−0.992225 | + | 0.124459i | \(0.960280\pi\) | |||||||
\(824\) | −242.809 | − | 140.186i | −0.294671 | − | 0.170128i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −68.0000 | − | 117.779i | −0.0823245 | − | 0.142590i | ||||
\(827\) | 985.707 | 1.19191 | 0.595953 | − | 0.803019i | \(-0.296774\pi\) | ||||
0.595953 | + | 0.803019i | \(0.296774\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −1488.00 | −1.79493 | −0.897467 | − | 0.441082i | \(-0.854595\pi\) | ||||
−0.897467 | + | 0.441082i | \(0.854595\pi\) | |||||||
\(830\) | 133.703 | − | 279.685i | 0.161088 | − | 0.336969i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 84.8528 | − | 146.969i | 0.101864 | − | 0.176434i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −631.299 | + | 1320.57i | −0.756046 | + | 1.58152i | ||||
\(836\) | 395.818i | 0.473467i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 816.333i | 0.974145i | ||||||||
\(839\) | 399.920 | − | 230.894i | 0.476663 | − | 0.275201i | −0.242362 | − | 0.970186i | \(-0.577922\pi\) |
0.719025 | + | 0.694985i | \(0.244589\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −420.500 | + | 728.327i | −0.500000 | + | 0.866025i | ||||
\(842\) | 463.862 | − | 803.433i | 0.550905 | − | 0.954196i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 12.0000 | + | 20.7846i | 0.0142180 | + | 0.0246263i | ||||
\(845\) | −478.004 | − | 696.805i | −0.565685 | − | 0.824621i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 880.474i | 1.03952i | ||||||||
\(848\) | −135.765 | − | 235.151i | −0.160100 | − | 0.277301i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 251.184 | + | 311.298i | 0.295511 | + | 0.366233i | ||||
\(851\) | 485.617 | + | 280.371i | 0.570643 | + | 0.329461i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 282.786 | − | 163.267i | 0.331520 | − | 0.191403i | −0.324996 | − | 0.945715i | \(-0.605363\pi\) |
0.656516 | + | 0.754313i | \(0.272030\pi\) | |||||||
\(854\) | 131.939i | 0.154496i | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −156.000 | −0.182243 | ||||||||
\(857\) | 144.250 | + | 249.848i | 0.168319 | + | 0.291538i | 0.937829 | − | 0.347097i | \(-0.112833\pi\) |
−0.769510 | + | 0.638635i | \(0.779499\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −398.000 | + | 689.356i | −0.463329 | + | 0.802510i | −0.999124 | − | 0.0418380i | \(-0.986679\pi\) |
0.535795 | + | 0.844348i | \(0.320012\pi\) | |||||||
\(860\) | 31.6686 | + | 406.936i | 0.0368239 | + | 0.473182i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 444.378 | − | 256.562i | 0.515520 | − | 0.297636i | ||||
\(863\) | −352.139 | −0.408041 | −0.204020 | − | 0.978967i | \(-0.565401\pi\) | ||||
−0.204020 | + | 0.978967i | \(0.565401\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 464.000 | + | 676.390i | 0.536416 | + | 0.781954i | ||||
\(866\) | 199.960 | − | 115.447i | 0.230901 | − | 0.133311i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −323.184 | − | 186.590i | −0.372332 | − | 0.214966i | ||||
\(869\) | 1028.37 | + | 593.727i | 1.18339 | + | 0.683230i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 0 | 0 | ||||||||
\(872\) | 226.274 | 0.259489 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 408.000 | 0.466819 | ||||||||
\(875\) | −530.017 | + | 500.332i | −0.605734 | + | 0.571808i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 585.771 | + | 338.195i | 0.667926 | + | 0.385627i | 0.795290 | − | 0.606229i | \(-0.207318\pi\) |
−0.127364 | + | 0.991856i | \(0.540652\pi\) | |||||||
\(878\) | −305.470 | + | 529.090i | −0.347916 | + | 0.602608i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −297.592 | − | 142.264i | −0.338173 | − | 0.161663i | ||||
\(881\) | − | 519.511i | − | 0.589684i | −0.955546 | − | 0.294842i | \(-0.904733\pi\) | ||
0.955546 | − | 0.294842i | \(-0.0952670\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1591.85i | 1.80277i | 0.433014 | + | 0.901387i | \(0.357450\pi\) | ||||
−0.433014 | + | 0.901387i | \(0.642550\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −87.0000 | + | 150.688i | −0.0981941 | + | 0.170077i | ||||
\(887\) | 383.959 | − | 665.036i | 0.432874 | − | 0.749759i | −0.564246 | − | 0.825607i | \(-0.690833\pi\) |
0.997119 | + | 0.0758477i | \(0.0241663\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 119.000 | + | 206.114i | 0.133858 | + | 0.231849i | ||||
\(890\) | −384.666 | + | 263.879i | −0.432209 | + | 0.296493i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 81.6333i | 0.0915172i | ||||||||
\(893\) | 212.132 | + | 367.423i | 0.237550 | + | 0.411448i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 6.39802 | + | 82.2135i | 0.00714863 | + | 0.0918587i | ||||
\(896\) | 57.1314 | + | 32.9848i | 0.0637628 | + | 0.0368134i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1060.45 | + | 612.250i | −1.18090 | + | 0.681793i | ||||
\(899\) | 0 | 0 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −768.000 | −0.852386 | ||||||||
\(902\) | −673.166 | − | 1165.96i | −0.746303 | − | 1.29264i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 216.000 | − | 374.123i | 0.238938 | − | 0.413853i | ||||
\(905\) | −408.764 | + | 31.8108i | −0.451673 | + | 0.0351501i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 287.836 | − | 166.182i | 0.317349 | − | 0.183222i | −0.332861 | − | 0.942976i | \(-0.608014\pi\) |
0.650210 | + | 0.759754i | \(0.274681\pi\) | |||||||
\(908\) | −319.612 | −0.351996 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 599.880 | − | 346.341i | 0.658485 | − | 0.380177i | −0.133214 | − | 0.991087i | \(-0.542530\pi\) |
0.791700 | + | 0.610911i | \(0.209197\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 626.169 | + | 361.519i | 0.685837 | + | 0.395968i | ||||
\(914\) | −571.314 | − | 329.848i | −0.625070 | − | 0.360885i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −82.0000 | − | 142.028i | −0.0895197 | − | 0.155053i | ||||
\(917\) | 288.500 | 0.314612 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −912.000 | −0.992383 | −0.496192 | − | 0.868213i | \(-0.665269\pi\) | ||||
−0.496192 | + | 0.868213i | \(0.665269\pi\) | |||||||
\(920\) | −146.642 | + | 306.751i | −0.159394 | + | 0.333425i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 0 | 0 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −90.2089 | − | 576.075i | −0.0975231 | − | 0.622784i | ||||
\(926\) | − | 865.852i | − | 0.935046i | ||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 1092.64 | − | 630.835i | 1.17614 | − | 0.679048i | 0.221025 | − | 0.975268i | \(-0.429060\pi\) |
0.955120 | + | 0.296221i | \(0.0957263\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −90.0000 | + | 155.885i | −0.0966702 | + | 0.167438i | ||||
\(932\) | −192.333 | + | 333.131i | −0.206366 | + | 0.357436i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 543.000 | + | 940.504i | 0.581370 | + | 1.00696i | ||||
\(935\) | −769.332 | + | 527.758i | −0.822815 | + | 0.564447i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 816.333i | − | 0.871220i | −0.900135 | − | 0.435610i | \(-0.856533\pi\) | ||
0.900135 | − | 0.435610i | \(-0.143467\pi\) | |||||||
\(938\) | −24.0416 | − | 41.6413i | −0.0256307 | − | 0.0443937i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −352.488 | + | 27.4313i | −0.374987 | + | 0.0291822i | ||||
\(941\) | −914.103 | − | 527.758i | −0.971416 | − | 0.560848i | −0.0717486 | − | 0.997423i | \(-0.522858\pi\) |
−0.899668 | + | 0.436575i | \(0.856191\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1201.84 | + | 693.883i | −1.27449 | + | 0.735825i | ||||
\(944\) | 65.9697i | 0.0698831i | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −952.000 | −1.00634 | ||||||||
\(947\) | 57.2756 | + | 99.2043i | 0.0604812 | + | 0.104756i | 0.894681 | − | 0.446706i | \(-0.147403\pi\) |
−0.834199 | + | 0.551463i | \(0.814070\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 0 | 0 | ||||||||
\(950\) | −266.421 | − | 330.182i | −0.280443 | − | 0.347559i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 161.592 | − | 93.2952i | 0.169740 | − | 0.0979992i | ||||
\(953\) | 243.245 | 0.255241 | 0.127621 | − | 0.991823i | \(-0.459266\pi\) | ||||
0.127621 | + | 0.991823i | \(0.459266\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1224.00 | + | 839.657i | −1.28168 | + | 0.879222i | ||||
\(956\) | −799.840 | + | 461.788i | −0.836653 | + | 0.483042i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 686.766 | + | 396.505i | 0.716875 | + | 0.413888i | ||||
\(959\) | −257.091 | − | 148.432i | −0.268083 | − | 0.154778i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −31.5000 | − | 54.5596i | −0.0327784 | − | 0.0567738i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 608.000 | 0.630705 | ||||||||
\(965\) | 526.073 | + | 251.489i | 0.545154 | + | 0.260610i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 813.010 | + | 469.392i | 0.840755 | + | 0.485410i | 0.857521 | − | 0.514449i | \(-0.172004\pi\) |
−0.0167657 | + | 0.999859i | \(0.505337\pi\) | |||||||
\(968\) | 213.546 | − | 369.873i | 0.220606 | − | 0.382100i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −1041.57 | − | 497.923i | −1.07379 | − | 0.513323i | ||||
\(971\) | − | 1335.89i | − | 1.37578i | −0.725813 | − | 0.687892i | \(-0.758536\pi\) | ||
0.725813 | − | 0.687892i | \(-0.241464\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − | 256.562i | − | 0.263681i | ||||||
\(974\) | −792.699 | + | 457.665i | −0.813859 | + | 0.469882i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 32.0000 | − | 55.4256i | 0.0327869 | − | 0.0567886i | ||||
\(977\) | −152.735 | + | 264.545i | −0.156331 | + | 0.270773i | −0.933543 | − | 0.358466i | \(-0.883300\pi\) |
0.777212 | + | 0.629239i | \(0.216633\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −544.000 | − | 942.236i | −0.555669 | − | 0.962447i | ||||
\(980\) | −84.8528 | − | 123.693i | −0.0865845 | − | 0.126218i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 489.800i | 0.498778i | ||||||||
\(983\) | 555.079 | + | 961.425i | 0.564678 | + | 0.978052i | 0.997080 | + | 0.0763703i | \(0.0243331\pi\) |
−0.432401 | + | 0.901681i | \(0.642334\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −958.766 | + | 74.6131i | −0.973367 | + | 0.0757493i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 981.299i | 0.992213i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 640.000 | 0.645812 | 0.322906 | − | 0.946431i | \(-0.395340\pi\) | ||||
0.322906 | + | 0.946431i | \(0.395340\pi\) | |||||||
\(992\) | 90.5097 | + | 156.767i | 0.0912396 | + | 0.158032i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1555.30 | + | 121.036i | −1.56311 | + | 0.121645i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −242.388 | + | 139.943i | −0.243117 | + | 0.140364i | −0.616609 | − | 0.787270i | \(-0.711494\pi\) |
0.373491 | + | 0.927634i | \(0.378161\pi\) | |||||||
\(998\) | −933.381 | −0.935251 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))