Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,4,Mod(136,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.136");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.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: | \(23.8957735523\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(\zeta_{6})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 5) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 271.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 405.271 |
Dual form | 405.4.e.l.136.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00000 | + | 3.46410i | 0.707107 | + | 1.22474i | 0.965926 | + | 0.258819i | \(0.0833333\pi\) |
−0.258819 | + | 0.965926i | \(0.583333\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −4.00000 | + | 6.92820i | −0.500000 | + | 0.866025i | ||||
\(5\) | 2.50000 | − | 4.33013i | 0.223607 | − | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −3.00000 | − | 5.19615i | −0.161985 | − | 0.280566i | 0.773596 | − | 0.633680i | \(-0.218456\pi\) |
−0.935580 | + | 0.353114i | \(0.885123\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 20.0000 | 0.632456 | ||||||||
\(11\) | −16.0000 | − | 27.7128i | −0.438562 | − | 0.759612i | 0.559017 | − | 0.829156i | \(-0.311179\pi\) |
−0.997579 | + | 0.0695447i | \(0.977845\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 19.0000 | − | 32.9090i | 0.405358 | − | 0.702100i | −0.589005 | − | 0.808129i | \(-0.700480\pi\) |
0.994363 | + | 0.106029i | \(0.0338136\pi\) | |||||||
\(14\) | 12.0000 | − | 20.7846i | 0.229081 | − | 0.396780i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 32.0000 | + | 55.4256i | 0.500000 | + | 0.866025i | ||||
\(17\) | 26.0000 | 0.370937 | 0.185468 | − | 0.982650i | \(-0.440620\pi\) | ||||
0.185468 | + | 0.982650i | \(0.440620\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 100.000 | 1.20745 | 0.603726 | − | 0.797192i | \(-0.293682\pi\) | ||||
0.603726 | + | 0.797192i | \(0.293682\pi\) | |||||||
\(20\) | 20.0000 | + | 34.6410i | 0.223607 | + | 0.387298i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 64.0000 | − | 110.851i | 0.620220 | − | 1.07425i | ||||
\(23\) | 39.0000 | − | 67.5500i | 0.353568 | − | 0.612398i | −0.633304 | − | 0.773903i | \(-0.718302\pi\) |
0.986872 | + | 0.161506i | \(0.0516350\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −12.5000 | − | 21.6506i | −0.100000 | − | 0.173205i | ||||
\(26\) | 152.000 | 1.14653 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 48.0000 | 0.323970 | ||||||||
\(29\) | 25.0000 | + | 43.3013i | 0.160082 | + | 0.277270i | 0.934898 | − | 0.354917i | \(-0.115491\pi\) |
−0.774816 | + | 0.632187i | \(0.782157\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 54.0000 | − | 93.5307i | 0.312861 | − | 0.541891i | −0.666120 | − | 0.745845i | \(-0.732046\pi\) |
0.978980 | + | 0.203954i | \(0.0653793\pi\) | |||||||
\(32\) | −128.000 | + | 221.703i | −0.707107 | + | 1.22474i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 52.0000 | + | 90.0666i | 0.262292 | + | 0.454303i | ||||
\(35\) | −30.0000 | −0.144884 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 266.000 | 1.18190 | 0.590948 | − | 0.806710i | \(-0.298754\pi\) | ||||
0.590948 | + | 0.806710i | \(0.298754\pi\) | |||||||
\(38\) | 200.000 | + | 346.410i | 0.853797 | + | 1.47882i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −11.0000 | + | 19.0526i | −0.0419003 | + | 0.0725734i | −0.886215 | − | 0.463274i | \(-0.846675\pi\) |
0.844315 | + | 0.535848i | \(0.180008\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −221.000 | − | 382.783i | −0.783772 | − | 1.35753i | −0.929730 | − | 0.368242i | \(-0.879960\pi\) |
0.145958 | − | 0.989291i | \(-0.453373\pi\) | |||||||
\(44\) | 256.000 | 0.877124 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 312.000 | 1.00004 | ||||||||
\(47\) | 257.000 | + | 445.137i | 0.797602 | + | 1.38149i | 0.921174 | + | 0.389152i | \(0.127232\pi\) |
−0.123571 | + | 0.992336i | \(0.539435\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 153.500 | − | 265.870i | 0.447522 | − | 0.775131i | ||||
\(50\) | 50.0000 | − | 86.6025i | 0.141421 | − | 0.244949i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 152.000 | + | 263.272i | 0.405358 | + | 0.702100i | ||||
\(53\) | 2.00000 | 0.00518342 | 0.00259171 | − | 0.999997i | \(-0.499175\pi\) | ||||
0.00259171 | + | 0.999997i | \(0.499175\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −160.000 | −0.392262 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −100.000 | + | 173.205i | −0.226390 | + | 0.392120i | ||||
\(59\) | −250.000 | + | 433.013i | −0.551648 | + | 0.955482i | 0.446508 | + | 0.894780i | \(0.352667\pi\) |
−0.998156 | + | 0.0607026i | \(0.980666\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 259.000 | + | 448.601i | 0.543632 | + | 0.941598i | 0.998692 | + | 0.0511373i | \(0.0162846\pi\) |
−0.455060 | + | 0.890461i | \(0.650382\pi\) | |||||||
\(62\) | 432.000 | 0.884904 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −512.000 | −1.00000 | ||||||||
\(65\) | −95.0000 | − | 164.545i | −0.181282 | − | 0.313989i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −63.0000 | + | 109.119i | −0.114876 | + | 0.198971i | −0.917730 | − | 0.397205i | \(-0.869980\pi\) |
0.802854 | + | 0.596175i | \(0.203314\pi\) | |||||||
\(68\) | −104.000 | + | 180.133i | −0.185468 | + | 0.321241i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −60.0000 | − | 103.923i | −0.102448 | − | 0.177445i | ||||
\(71\) | 412.000 | 0.688668 | 0.344334 | − | 0.938847i | \(-0.388105\pi\) | ||||
0.344334 | + | 0.938847i | \(0.388105\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −878.000 | −1.40770 | −0.703850 | − | 0.710348i | \(-0.748537\pi\) | ||||
−0.703850 | + | 0.710348i | \(0.748537\pi\) | |||||||
\(74\) | 532.000 | + | 921.451i | 0.835726 | + | 1.44752i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −400.000 | + | 692.820i | −0.603726 | + | 1.04568i | ||||
\(77\) | −96.0000 | + | 166.277i | −0.142081 | + | 0.246091i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −300.000 | − | 519.615i | −0.427249 | − | 0.740016i | 0.569379 | − | 0.822075i | \(-0.307184\pi\) |
−0.996627 | + | 0.0820590i | \(0.973850\pi\) | |||||||
\(80\) | 320.000 | 0.447214 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −88.0000 | −0.118512 | ||||||||
\(83\) | −141.000 | − | 244.219i | −0.186467 | − | 0.322970i | 0.757603 | − | 0.652716i | \(-0.226370\pi\) |
−0.944070 | + | 0.329745i | \(0.893037\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 65.0000 | − | 112.583i | 0.0829440 | − | 0.143663i | ||||
\(86\) | 884.000 | − | 1531.13i | 1.10842 | − | 1.91984i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −150.000 | −0.178651 | −0.0893257 | − | 0.996002i | \(-0.528471\pi\) | ||||
−0.0893257 | + | 0.996002i | \(0.528471\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −228.000 | −0.262647 | ||||||||
\(92\) | 312.000 | + | 540.400i | 0.353568 | + | 0.612398i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −1028.00 | + | 1780.55i | −1.12798 | + | 1.95372i | ||||
\(95\) | 250.000 | − | 433.013i | 0.269994 | − | 0.467644i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −193.000 | − | 334.286i | −0.202022 | − | 0.349913i | 0.747157 | − | 0.664647i | \(-0.231418\pi\) |
−0.949180 | + | 0.314734i | \(0.898085\pi\) | |||||||
\(98\) | 1228.00 | 1.26578 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 200.000 | 0.200000 | ||||||||
\(101\) | −351.000 | − | 607.950i | −0.345800 | − | 0.598943i | 0.639699 | − | 0.768626i | \(-0.279059\pi\) |
−0.985499 | + | 0.169682i | \(0.945726\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 299.000 | − | 517.883i | 0.286032 | − | 0.495423i | −0.686827 | − | 0.726821i | \(-0.740997\pi\) |
0.972859 | + | 0.231399i | \(0.0743301\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 4.00000 | + | 6.92820i | 0.00366523 | + | 0.00634836i | ||||
\(107\) | −1194.00 | −1.07877 | −0.539385 | − | 0.842059i | \(-0.681343\pi\) | ||||
−0.539385 | + | 0.842059i | \(0.681343\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −550.000 | −0.483307 | −0.241653 | − | 0.970363i | \(-0.577690\pi\) | ||||
−0.241653 | + | 0.970363i | \(0.577690\pi\) | |||||||
\(110\) | −320.000 | − | 554.256i | −0.277371 | − | 0.480421i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 192.000 | − | 332.554i | 0.161985 | − | 0.280566i | ||||
\(113\) | −781.000 | + | 1352.73i | −0.650180 | + | 1.12614i | 0.332899 | + | 0.942962i | \(0.391973\pi\) |
−0.983079 | + | 0.183182i | \(0.941360\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −195.000 | − | 337.750i | −0.158120 | − | 0.273873i | ||||
\(116\) | −400.000 | −0.320164 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2000.00 | −1.56030 | ||||||||
\(119\) | −78.0000 | − | 135.100i | −0.0600861 | − | 0.104072i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 153.500 | − | 265.870i | 0.115327 | − | 0.199752i | ||||
\(122\) | −1036.00 | + | 1794.40i | −0.768812 | + | 1.33162i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 432.000 | + | 748.246i | 0.312861 | + | 0.541891i | ||||
\(125\) | −125.000 | −0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1846.00 | 1.28981 | 0.644906 | − | 0.764262i | \(-0.276897\pi\) | ||||
0.644906 | + | 0.764262i | \(0.276897\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 380.000 | − | 658.179i | 0.256371 | − | 0.444047i | ||||
\(131\) | 1104.00 | − | 1912.18i | 0.736312 | − | 1.27533i | −0.217833 | − | 0.975986i | \(-0.569899\pi\) |
0.954145 | − | 0.299344i | \(-0.0967680\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −300.000 | − | 519.615i | −0.195589 | − | 0.338770i | ||||
\(134\) | −504.000 | −0.324918 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1167.00 | + | 2021.30i | 0.727763 | + | 1.26052i | 0.957827 | + | 0.287347i | \(0.0927733\pi\) |
−0.230064 | + | 0.973176i | \(0.573893\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 350.000 | − | 606.218i | 0.213573 | − | 0.369919i | −0.739257 | − | 0.673423i | \(-0.764823\pi\) |
0.952830 | + | 0.303504i | \(0.0981566\pi\) | |||||||
\(140\) | 120.000 | − | 207.846i | 0.0724418 | − | 0.125473i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 824.000 | + | 1427.21i | 0.486962 | + | 0.843442i | ||||
\(143\) | −1216.00 | −0.711098 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 250.000 | 0.143182 | ||||||||
\(146\) | −1756.00 | − | 3041.48i | −0.995394 | − | 1.72407i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −1064.00 | + | 1842.90i | −0.590948 | + | 1.02355i | ||||
\(149\) | −1025.00 | + | 1775.35i | −0.563566 | + | 0.976124i | 0.433616 | + | 0.901098i | \(0.357237\pi\) |
−0.997182 | + | 0.0750264i | \(0.976096\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −926.000 | − | 1603.88i | −0.499052 | − | 0.864383i | 0.500948 | − | 0.865478i | \(-0.332985\pi\) |
−0.999999 | + | 0.00109462i | \(0.999652\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −768.000 | −0.401865 | ||||||||
\(155\) | −270.000 | − | 467.654i | −0.139916 | − | 0.242341i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1247.00 | − | 2159.87i | 0.633894 | − | 1.09794i | −0.352854 | − | 0.935678i | \(-0.614789\pi\) |
0.986748 | − | 0.162259i | \(-0.0518780\pi\) | |||||||
\(158\) | 1200.00 | − | 2078.46i | 0.604221 | − | 1.04654i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 640.000 | + | 1108.51i | 0.316228 | + | 0.547723i | ||||
\(161\) | −468.000 | −0.229090 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2762.00 | 1.32722 | 0.663609 | − | 0.748080i | \(-0.269024\pi\) | ||||
0.663609 | + | 0.748080i | \(0.269024\pi\) | |||||||
\(164\) | −88.0000 | − | 152.420i | −0.0419003 | − | 0.0725734i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 564.000 | − | 976.877i | 0.263704 | − | 0.456749i | ||||
\(167\) | −1563.00 | + | 2707.20i | −0.724243 | + | 1.25443i | 0.235042 | + | 0.971985i | \(0.424477\pi\) |
−0.959285 | + | 0.282440i | \(0.908856\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 376.500 | + | 652.117i | 0.171370 | + | 0.296822i | ||||
\(170\) | 520.000 | 0.234601 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 3536.00 | 1.56754 | ||||||||
\(173\) | 39.0000 | + | 67.5500i | 0.0171394 | + | 0.0296863i | 0.874468 | − | 0.485083i | \(-0.161211\pi\) |
−0.857328 | + | 0.514770i | \(0.827877\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −75.0000 | + | 129.904i | −0.0323970 | + | 0.0561132i | ||||
\(176\) | 1024.00 | − | 1773.62i | 0.438562 | − | 0.759612i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −300.000 | − | 519.615i | −0.126326 | − | 0.218802i | ||||
\(179\) | −1300.00 | −0.542830 | −0.271415 | − | 0.962462i | \(-0.587492\pi\) | ||||
−0.271415 | + | 0.962462i | \(0.587492\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1742.00 | 0.715369 | 0.357685 | − | 0.933842i | \(-0.383566\pi\) | ||||
0.357685 | + | 0.933842i | \(0.383566\pi\) | |||||||
\(182\) | −456.000 | − | 789.815i | −0.185720 | − | 0.321676i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 665.000 | − | 1151.81i | 0.264280 | − | 0.457746i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −416.000 | − | 720.533i | −0.162679 | − | 0.281768i | ||||
\(188\) | −4112.00 | −1.59520 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 2000.00 | 0.763659 | ||||||||
\(191\) | −1886.00 | − | 3266.65i | −0.714483 | − | 1.23752i | −0.963159 | − | 0.268933i | \(-0.913329\pi\) |
0.248676 | − | 0.968587i | \(-0.420004\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 179.000 | − | 310.037i | 0.0667601 | − | 0.115632i | −0.830713 | − | 0.556700i | \(-0.812067\pi\) |
0.897473 | + | 0.441069i | \(0.145400\pi\) | |||||||
\(194\) | 772.000 | − | 1337.14i | 0.285703 | − | 0.494852i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1228.00 | + | 2126.96i | 0.447522 | + | 0.775131i | ||||
\(197\) | −2214.00 | −0.800716 | −0.400358 | − | 0.916359i | \(-0.631114\pi\) | ||||
−0.400358 | + | 0.916359i | \(0.631114\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −2600.00 | −0.926176 | −0.463088 | − | 0.886312i | \(-0.653259\pi\) | ||||
−0.463088 | + | 0.886312i | \(0.653259\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 1404.00 | − | 2431.80i | 0.489035 | − | 0.847034i | ||||
\(203\) | 150.000 | − | 259.808i | 0.0518618 | − | 0.0898272i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 55.0000 | + | 95.2628i | 0.0187384 | + | 0.0324558i | ||||
\(206\) | 2392.00 | 0.809022 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 2432.00 | 0.810716 | ||||||||
\(209\) | −1600.00 | − | 2771.28i | −0.529542 | − | 0.917194i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 584.000 | − | 1011.52i | 0.190541 | − | 0.330027i | −0.754888 | − | 0.655853i | \(-0.772309\pi\) |
0.945430 | + | 0.325826i | \(0.105642\pi\) | |||||||
\(212\) | −8.00000 | + | 13.8564i | −0.00259171 | + | 0.00448897i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2388.00 | − | 4136.14i | −0.762805 | − | 1.32122i | ||||
\(215\) | −2210.00 | −0.701027 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −648.000 | −0.202715 | ||||||||
\(218\) | −1100.00 | − | 1905.26i | −0.341750 | − | 0.591928i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 640.000 | − | 1108.51i | 0.196131 | − | 0.339709i | ||||
\(221\) | 494.000 | − | 855.633i | 0.150362 | − | 0.260435i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3239.00 | + | 5610.11i | 0.972643 | + | 1.68467i | 0.687502 | + | 0.726182i | \(0.258707\pi\) |
0.285141 | + | 0.958486i | \(0.407959\pi\) | |||||||
\(224\) | 1536.00 | 0.458162 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6248.00 | −1.83899 | ||||||||
\(227\) | −323.000 | − | 559.452i | −0.0944417 | − | 0.163578i | 0.814934 | − | 0.579554i | \(-0.196773\pi\) |
−0.909375 | + | 0.415976i | \(0.863440\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −1875.00 | + | 3247.60i | −0.541063 | + | 0.937149i | 0.457780 | + | 0.889065i | \(0.348645\pi\) |
−0.998843 | + | 0.0480836i | \(0.984689\pi\) | |||||||
\(230\) | 780.000 | − | 1351.00i | 0.223616 | − | 0.387314i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 1482.00 | 0.416691 | 0.208346 | − | 0.978055i | \(-0.433192\pi\) | ||||
0.208346 | + | 0.978055i | \(0.433192\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2570.00 | 0.713397 | ||||||||
\(236\) | −2000.00 | − | 3464.10i | −0.551648 | − | 0.955482i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 312.000 | − | 540.400i | 0.0849746 | − | 0.147180i | ||||
\(239\) | −700.000 | + | 1212.44i | −0.189453 | + | 0.328142i | −0.945068 | − | 0.326874i | \(-0.894005\pi\) |
0.755615 | + | 0.655016i | \(0.227338\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1511.00 | − | 2617.13i | −0.403867 | − | 0.699519i | 0.590321 | − | 0.807168i | \(-0.299001\pi\) |
−0.994189 | + | 0.107649i | \(0.965668\pi\) | |||||||
\(242\) | 1228.00 | 0.326194 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −4144.00 | −1.08726 | ||||||||
\(245\) | −767.500 | − | 1329.35i | −0.200138 | − | 0.346649i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1900.00 | − | 3290.90i | 0.489450 | − | 0.847752i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −250.000 | − | 433.013i | −0.0632456 | − | 0.109545i | ||||
\(251\) | −1248.00 | −0.313837 | −0.156918 | − | 0.987612i | \(-0.550156\pi\) | ||||
−0.156918 | + | 0.987612i | \(0.550156\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2496.00 | −0.620246 | ||||||||
\(254\) | 3692.00 | + | 6394.73i | 0.912034 | + | 1.57969i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −2048.00 | + | 3547.24i | −0.500000 | + | 0.866025i | ||||
\(257\) | −1053.00 | + | 1823.85i | −0.255581 | + | 0.442679i | −0.965053 | − | 0.262054i | \(-0.915600\pi\) |
0.709472 | + | 0.704734i | \(0.248933\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −798.000 | − | 1382.18i | −0.191449 | − | 0.331600i | ||||
\(260\) | 1520.00 | 0.362563 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8832.00 | 2.08261 | ||||||||
\(263\) | 1819.00 | + | 3150.60i | 0.426480 | + | 0.738686i | 0.996557 | − | 0.0829055i | \(-0.0264200\pi\) |
−0.570077 | + | 0.821591i | \(0.693087\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.00000 | − | 8.66025i | 0.00115905 | − | 0.00200753i | ||||
\(266\) | 1200.00 | − | 2078.46i | 0.276604 | − | 0.479093i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −504.000 | − | 872.954i | −0.114876 | − | 0.198971i | ||||
\(269\) | −6550.00 | −1.48461 | −0.742306 | − | 0.670061i | \(-0.766268\pi\) | ||||
−0.742306 | + | 0.670061i | \(0.766268\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4388.00 | −0.983587 | −0.491793 | − | 0.870712i | \(-0.663658\pi\) | ||||
−0.491793 | + | 0.870712i | \(0.663658\pi\) | |||||||
\(272\) | 832.000 | + | 1441.07i | 0.185468 | + | 0.321241i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4668.00 | + | 8085.21i | −1.02921 | + | 1.78265i | ||||
\(275\) | −400.000 | + | 692.820i | −0.0877124 | + | 0.151922i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −273.000 | − | 472.850i | −0.0592165 | − | 0.102566i | 0.834897 | − | 0.550406i | \(-0.185527\pi\) |
−0.894114 | + | 0.447840i | \(0.852194\pi\) | |||||||
\(278\) | 2800.00 | 0.604075 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 3429.00 | + | 5939.20i | 0.727961 | + | 1.26087i | 0.957744 | + | 0.287623i | \(0.0928651\pi\) |
−0.229783 | + | 0.973242i | \(0.573802\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4641.00 | + | 8038.45i | −0.974837 | + | 1.68847i | −0.294364 | + | 0.955693i | \(0.595108\pi\) |
−0.680473 | + | 0.732774i | \(0.738225\pi\) | |||||||
\(284\) | −1648.00 | + | 2854.42i | −0.344334 | + | 0.596404i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −2432.00 | − | 4212.35i | −0.502822 | − | 0.870914i | ||||
\(287\) | 132.000 | 0.0271488 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4237.00 | −0.862406 | ||||||||
\(290\) | 500.000 | + | 866.025i | 0.101245 | + | 0.175361i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 3512.00 | − | 6082.96i | 0.703850 | − | 1.21910i | ||||
\(293\) | −2421.00 | + | 4193.30i | −0.482718 | + | 0.836092i | −0.999803 | − | 0.0198420i | \(-0.993684\pi\) |
0.517085 | + | 0.855934i | \(0.327017\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1250.00 | + | 2165.06i | 0.246704 | + | 0.427305i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8200.00 | −1.59400 | ||||||||
\(299\) | −1482.00 | − | 2566.90i | −0.286643 | − | 0.496480i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1326.00 | + | 2296.70i | −0.253918 | + | 0.439799i | ||||
\(302\) | 3704.00 | − | 6415.52i | 0.705766 | − | 1.22242i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 3200.00 | + | 5542.56i | 0.603726 | + | 1.04568i | ||||
\(305\) | 2590.00 | 0.486239 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −2594.00 | −0.482239 | −0.241120 | − | 0.970495i | \(-0.577515\pi\) | ||||
−0.241120 | + | 0.970495i | \(0.577515\pi\) | |||||||
\(308\) | −768.000 | − | 1330.22i | −0.142081 | − | 0.246091i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1080.00 | − | 1870.61i | 0.197871 | − | 0.342722i | ||||
\(311\) | −3666.00 | + | 6349.70i | −0.668424 | + | 1.15774i | 0.309921 | + | 0.950762i | \(0.399697\pi\) |
−0.978345 | + | 0.206982i | \(0.933636\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −781.000 | − | 1352.73i | −0.141037 | − | 0.244284i | 0.786850 | − | 0.617144i | \(-0.211710\pi\) |
−0.927888 | + | 0.372860i | \(0.878377\pi\) | |||||||
\(314\) | 9976.00 | 1.79292 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4800.00 | 0.854497 | ||||||||
\(317\) | −713.000 | − | 1234.95i | −0.126328 | − | 0.218807i | 0.795923 | − | 0.605398i | \(-0.206986\pi\) |
−0.922251 | + | 0.386591i | \(0.873653\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 800.000 | − | 1385.64i | 0.140412 | − | 0.243201i | ||||
\(320\) | −1280.00 | + | 2217.03i | −0.223607 | + | 0.387298i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −936.000 | − | 1621.20i | −0.161991 | − | 0.280577i | ||||
\(323\) | 2600.00 | 0.447888 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −950.000 | −0.162143 | ||||||||
\(326\) | 5524.00 | + | 9567.85i | 0.938485 | + | 1.62550i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 1542.00 | − | 2670.82i | 0.258399 | − | 0.447560i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 2004.00 | + | 3471.03i | 0.332779 | + | 0.576390i | 0.983056 | − | 0.183308i | \(-0.0586804\pi\) |
−0.650277 | + | 0.759697i | \(0.725347\pi\) | |||||||
\(332\) | 2256.00 | 0.372934 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −12504.0 | −2.04847 | ||||||||
\(335\) | 315.000 | + | 545.596i | 0.0513740 | + | 0.0889824i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −4433.00 | + | 7678.18i | −0.716561 | + | 1.24112i | 0.245794 | + | 0.969322i | \(0.420951\pi\) |
−0.962355 | + | 0.271797i | \(0.912382\pi\) | |||||||
\(338\) | −1506.00 | + | 2608.47i | −0.242354 | + | 0.419769i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 520.000 | + | 900.666i | 0.0829440 | + | 0.143663i | ||||
\(341\) | −3456.00 | −0.548835 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −3900.00 | −0.613936 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −156.000 | + | 270.200i | −0.0242388 | + | 0.0419828i | ||||
\(347\) | 857.000 | − | 1484.37i | 0.132583 | − | 0.229640i | −0.792089 | − | 0.610406i | \(-0.791006\pi\) |
0.924671 | + | 0.380766i | \(0.124340\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −575.000 | − | 995.929i | −0.0881921 | − | 0.152753i | 0.818555 | − | 0.574428i | \(-0.194776\pi\) |
−0.906747 | + | 0.421675i | \(0.861442\pi\) | |||||||
\(350\) | −600.000 | −0.0916324 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 8192.00 | 1.24044 | ||||||||
\(353\) | 2199.00 | + | 3808.78i | 0.331561 | + | 0.574280i | 0.982818 | − | 0.184577i | \(-0.0590915\pi\) |
−0.651257 | + | 0.758857i | \(0.725758\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1030.00 | − | 1784.01i | 0.153991 | − | 0.266720i | ||||
\(356\) | 600.000 | − | 1039.23i | 0.0893257 | − | 0.154717i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2600.00 | − | 4503.33i | −0.383839 | − | 0.664828i | ||||
\(359\) | 1800.00 | 0.264625 | 0.132312 | − | 0.991208i | \(-0.457760\pi\) | ||||
0.132312 | + | 0.991208i | \(0.457760\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3141.00 | 0.457938 | ||||||||
\(362\) | 3484.00 | + | 6034.47i | 0.505842 | + | 0.876145i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 912.000 | − | 1579.63i | 0.131324 | − | 0.227459i | ||||
\(365\) | −2195.00 | + | 3801.85i | −0.314771 | + | 0.545200i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 2937.00 | + | 5087.03i | 0.417739 | + | 0.723545i | 0.995712 | − | 0.0925111i | \(-0.0294894\pi\) |
−0.577973 | + | 0.816056i | \(0.696156\pi\) | |||||||
\(368\) | 4992.00 | 0.707136 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 5320.00 | 0.747496 | ||||||||
\(371\) | −6.00000 | − | 10.3923i | −0.000839635 | − | 0.00145429i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1039.00 | − | 1799.60i | 0.144229 | − | 0.249812i | −0.784856 | − | 0.619678i | \(-0.787263\pi\) |
0.929085 | + | 0.369866i | \(0.120597\pi\) | |||||||
\(374\) | 1664.00 | − | 2882.13i | 0.230063 | − | 0.398480i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 1900.00 | 0.259562 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 7900.00 | 1.07070 | 0.535351 | − | 0.844630i | \(-0.320179\pi\) | ||||
0.535351 | + | 0.844630i | \(0.320179\pi\) | |||||||
\(380\) | 2000.00 | + | 3464.10i | 0.269994 | + | 0.467644i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 7544.00 | − | 13066.6i | 1.01043 | − | 1.75012i | ||||
\(383\) | 3759.00 | − | 6510.78i | 0.501504 | − | 0.868630i | −0.498495 | − | 0.866893i | \(-0.666114\pi\) |
0.999998 | − | 0.00173723i | \(-0.000552976\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 480.000 | + | 831.384i | 0.0635404 | + | 0.110055i | ||||
\(386\) | 1432.00 | 0.188826 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 3088.00 | 0.404045 | ||||||||
\(389\) | 975.000 | + | 1688.75i | 0.127081 | + | 0.220111i | 0.922544 | − | 0.385891i | \(-0.126106\pi\) |
−0.795464 | + | 0.606001i | \(0.792773\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1014.00 | − | 1756.30i | 0.131151 | − | 0.227161i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −4428.00 | − | 7669.52i | −0.566191 | − | 0.980672i | ||||
\(395\) | −3000.00 | −0.382143 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13786.0 | 1.74282 | 0.871410 | − | 0.490555i | \(-0.163206\pi\) | ||||
0.871410 | + | 0.490555i | \(0.163206\pi\) | |||||||
\(398\) | −5200.00 | − | 9006.66i | −0.654906 | − | 1.13433i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 800.000 | − | 1385.64i | 0.100000 | − | 0.173205i | ||||
\(401\) | −3201.00 | + | 5544.29i | −0.398629 | + | 0.690446i | −0.993557 | − | 0.113333i | \(-0.963847\pi\) |
0.594928 | + | 0.803779i | \(0.297181\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −2052.00 | − | 3554.17i | −0.253641 | − | 0.439319i | ||||
\(404\) | 5616.00 | 0.691600 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1200.00 | 0.146687 | ||||||||
\(407\) | −4256.00 | − | 7371.61i | −0.518334 | − | 0.897781i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5575.00 | + | 9656.18i | −0.674000 | + | 1.16740i | 0.302760 | + | 0.953067i | \(0.402092\pi\) |
−0.976760 | + | 0.214335i | \(0.931241\pi\) | |||||||
\(410\) | −220.000 | + | 381.051i | −0.0265001 | + | 0.0458995i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2392.00 | + | 4143.07i | 0.286032 | + | 0.495423i | ||||
\(413\) | 3000.00 | 0.357434 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1410.00 | −0.166781 | ||||||||
\(416\) | 4864.00 | + | 8424.70i | 0.573263 | + | 0.992920i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 6400.00 | − | 11085.1i | 0.748886 | − | 1.29711i | ||||
\(419\) | 6850.00 | − | 11864.5i | 0.798674 | − | 1.38334i | −0.121806 | − | 0.992554i | \(-0.538869\pi\) |
0.920480 | − | 0.390790i | \(-0.127798\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 2719.00 | + | 4709.45i | 0.314765 | + | 0.545189i | 0.979387 | − | 0.201991i | \(-0.0647410\pi\) |
−0.664623 | + | 0.747179i | \(0.731408\pi\) | |||||||
\(422\) | 4672.00 | 0.538932 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −325.000 | − | 562.917i | −0.0370937 | − | 0.0642481i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 1554.00 | − | 2691.61i | 0.176120 | − | 0.305049i | ||||
\(428\) | 4776.00 | − | 8272.27i | 0.539385 | − | 0.934242i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4420.00 | − | 7655.66i | −0.495701 | − | 0.858579i | ||||
\(431\) | 7692.00 | 0.859653 | 0.429827 | − | 0.902911i | \(-0.358575\pi\) | ||||
0.429827 | + | 0.902911i | \(0.358575\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1118.00 | −0.124082 | −0.0620412 | − | 0.998074i | \(-0.519761\pi\) | ||||
−0.0620412 | + | 0.998074i | \(0.519761\pi\) | |||||||
\(434\) | −1296.00 | − | 2244.74i | −0.143341 | − | 0.248274i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 2200.00 | − | 3810.51i | 0.241653 | − | 0.418556i | ||||
\(437\) | 3900.00 | − | 6755.00i | 0.426916 | − | 0.739440i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 1300.00 | + | 2251.67i | 0.141334 | + | 0.244798i | 0.927999 | − | 0.372582i | \(-0.121528\pi\) |
−0.786665 | + | 0.617380i | \(0.788194\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3952.00 | 0.425288 | ||||||||
\(443\) | 5979.00 | + | 10355.9i | 0.641243 | + | 1.11067i | 0.985155 | + | 0.171664i | \(0.0549145\pi\) |
−0.343912 | + | 0.939002i | \(0.611752\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −375.000 | + | 649.519i | −0.0399477 | + | 0.0691914i | ||||
\(446\) | −12956.0 | + | 22440.5i | −1.37553 | + | 2.38248i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 1536.00 | + | 2660.43i | 0.161985 | + | 0.280566i | ||||
\(449\) | −17050.0 | −1.79207 | −0.896035 | − | 0.443984i | \(-0.853565\pi\) | ||||
−0.896035 | + | 0.443984i | \(0.853565\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 704.000 | 0.0735035 | ||||||||
\(452\) | −6248.00 | − | 10821.9i | −0.650180 | − | 1.12614i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1292.00 | − | 2237.81i | 0.133561 | − | 0.231334i | ||||
\(455\) | −570.000 | + | 987.269i | −0.0587297 | + | 0.101723i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4747.00 | + | 8222.05i | 0.485898 | + | 0.841600i | 0.999869 | − | 0.0162080i | \(-0.00515939\pi\) |
−0.513971 | + | 0.857808i | \(0.671826\pi\) | |||||||
\(458\) | −15000.0 | −1.53036 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 3120.00 | 0.316241 | ||||||||
\(461\) | 5709.00 | + | 9888.28i | 0.576778 | + | 0.999009i | 0.995846 | + | 0.0910539i | \(0.0290235\pi\) |
−0.419068 | + | 0.907955i | \(0.637643\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3981.00 | + | 6895.29i | −0.399596 | + | 0.692120i | −0.993676 | − | 0.112286i | \(-0.964183\pi\) |
0.594080 | + | 0.804406i | \(0.297516\pi\) | |||||||
\(464\) | −1600.00 | + | 2771.28i | −0.160082 | + | 0.277270i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2964.00 | + | 5133.80i | 0.294645 | + | 0.510340i | ||||
\(467\) | 6526.00 | 0.646654 | 0.323327 | − | 0.946287i | \(-0.395199\pi\) | ||||
0.323327 | + | 0.946287i | \(0.395199\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 756.000 | 0.0744325 | ||||||||
\(470\) | 5140.00 | + | 8902.74i | 0.504448 | + | 0.873729i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7072.00 | + | 12249.1i | −0.687465 | + | 1.19072i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1250.00 | − | 2165.06i | −0.120745 | − | 0.209137i | ||||
\(476\) | 1248.00 | 0.120172 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −5600.00 | −0.535854 | ||||||||
\(479\) | −8700.00 | − | 15068.8i | −0.829881 | − | 1.43740i | −0.898131 | − | 0.439728i | \(-0.855075\pi\) |
0.0682495 | − | 0.997668i | \(-0.478259\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 5054.00 | − | 8753.78i | 0.479091 | − | 0.829809i | ||||
\(482\) | 6044.00 | − | 10468.5i | 0.571155 | − | 0.989269i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 1228.00 | + | 2126.96i | 0.115327 | + | 0.199752i | ||||
\(485\) | −1930.00 | −0.180694 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 1166.00 | 0.108494 | 0.0542469 | − | 0.998528i | \(-0.482724\pi\) | ||||
0.0542469 | + | 0.998528i | \(0.482724\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 3070.00 | − | 5317.40i | 0.283038 | − | 0.490236i | ||||
\(491\) | −3536.00 | + | 6124.53i | −0.325005 | + | 0.562925i | −0.981513 | − | 0.191394i | \(-0.938699\pi\) |
0.656508 | + | 0.754319i | \(0.272033\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 650.000 | + | 1125.83i | 0.0593804 | + | 0.102850i | ||||
\(494\) | 15200.0 | 1.38437 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 6912.00 | 0.625722 | ||||||||
\(497\) | −1236.00 | − | 2140.81i | −0.111554 | − | 0.193217i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −50.0000 | + | 86.6025i | −0.00448559 | + | 0.00776926i | −0.868259 | − | 0.496110i | \(-0.834761\pi\) |
0.863774 | + | 0.503880i | \(0.168094\pi\) | |||||||
\(500\) | 500.000 | − | 866.025i | 0.0447214 | − | 0.0774597i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2496.00 | − | 4323.20i | −0.221916 | − | 0.384370i | ||||
\(503\) | 2602.00 | 0.230651 | 0.115325 | − | 0.993328i | \(-0.463209\pi\) | ||||
0.115325 | + | 0.993328i | \(0.463209\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3510.00 | −0.309293 | ||||||||
\(506\) | −4992.00 | − | 8646.40i | −0.438580 | − | 0.759643i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −7384.00 | + | 12789.5i | −0.644906 | + | 1.11701i | ||||
\(509\) | −5575.00 | + | 9656.18i | −0.485476 | + | 0.840870i | −0.999861 | − | 0.0166899i | \(-0.994687\pi\) |
0.514384 | + | 0.857560i | \(0.328021\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 2634.00 | + | 4562.22i | 0.228026 | + | 0.394953i | ||||
\(512\) | −16384.0 | −1.41421 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8424.00 | −0.722892 | ||||||||
\(515\) | −1495.00 | − | 2589.42i | −0.127918 | − | 0.221560i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 8224.00 | − | 14244.4i | 0.699596 | − | 1.21174i | ||||
\(518\) | 3192.00 | − | 5528.71i | 0.270750 | − | 0.468953i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3638.00 | −0.305919 | −0.152959 | − | 0.988232i | \(-0.548880\pi\) | ||||
−0.152959 | + | 0.988232i | \(0.548880\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2078.00 | −0.173737 | −0.0868686 | − | 0.996220i | \(-0.527686\pi\) | ||||
−0.0868686 | + | 0.996220i | \(0.527686\pi\) | |||||||
\(524\) | 8832.00 | + | 15297.5i | 0.736312 | + | 1.27533i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −7276.00 | + | 12602.4i | −0.603134 | + | 1.04466i | ||||
\(527\) | 1404.00 | − | 2431.80i | 0.116052 | − | 0.201007i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3041.50 | + | 5268.03i | 0.249979 | + | 0.432977i | ||||
\(530\) | 40.0000 | 0.00327828 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 4800.00 | 0.391177 | ||||||||
\(533\) | 418.000 | + | 723.997i | 0.0339692 | + | 0.0588364i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2985.00 | + | 5170.17i | −0.241220 | + | 0.417806i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −13100.0 | − | 22689.9i | −1.04978 | − | 1.81827i | ||||
\(539\) | −9824.00 | −0.785064 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 5622.00 | 0.446781 | 0.223391 | − | 0.974729i | \(-0.428287\pi\) | ||||
0.223391 | + | 0.974729i | \(0.428287\pi\) | |||||||
\(542\) | −8776.00 | − | 15200.5i | −0.695501 | − | 1.20464i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −3328.00 | + | 5764.27i | −0.262292 | + | 0.454303i | ||||
\(545\) | −1375.00 | + | 2381.57i | −0.108071 | + | 0.187184i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8243.00 | − | 14277.3i | −0.644324 | − | 1.11600i | −0.984457 | − | 0.175625i | \(-0.943805\pi\) |
0.340133 | − | 0.940377i | \(-0.389528\pi\) | |||||||
\(548\) | −18672.0 | −1.45553 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3200.00 | −0.248088 | ||||||||
\(551\) | 2500.00 | + | 4330.13i | 0.193291 | + | 0.334791i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −1800.00 | + | 3117.69i | −0.138416 | + | 0.239743i | ||||
\(554\) | 1092.00 | − | 1891.40i | 0.0837448 | − | 0.145050i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 2800.00 | + | 4849.74i | 0.213573 | + | 0.369919i | ||||
\(557\) | 11706.0 | 0.890483 | 0.445242 | − | 0.895410i | \(-0.353118\pi\) | ||||
0.445242 | + | 0.895410i | \(0.353118\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −16796.0 | −1.27083 | ||||||||
\(560\) | −960.000 | − | 1662.77i | −0.0724418 | − | 0.125473i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −13716.0 | + | 23756.8i | −1.02949 | + | 1.78313i | ||||
\(563\) | 12519.0 | − | 21683.5i | 0.937146 | − | 1.62318i | 0.166383 | − | 0.986061i | \(-0.446791\pi\) |
0.770763 | − | 0.637123i | \(-0.219875\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 3905.00 | + | 6763.66i | 0.290769 | + | 0.503627i | ||||
\(566\) | −37128.0 | −2.75725 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −8775.00 | − | 15198.7i | −0.646515 | − | 1.11980i | −0.983949 | − | 0.178448i | \(-0.942892\pi\) |
0.337434 | − | 0.941349i | \(-0.390441\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −5356.00 | + | 9276.86i | −0.392542 | + | 0.679903i | −0.992784 | − | 0.119915i | \(-0.961738\pi\) |
0.600242 | + | 0.799819i | \(0.295071\pi\) | |||||||
\(572\) | 4864.00 | − | 8424.70i | 0.355549 | − | 0.615829i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 264.000 | + | 457.261i | 0.0191971 | + | 0.0332504i | ||||
\(575\) | −1950.00 | −0.141427 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −13654.0 | −0.985136 | −0.492568 | − | 0.870274i | \(-0.663942\pi\) | ||||
−0.492568 | + | 0.870274i | \(0.663942\pi\) | |||||||
\(578\) | −8474.00 | − | 14677.4i | −0.609813 | − | 1.05623i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −1000.00 | + | 1732.05i | −0.0715909 | + | 0.123999i | ||||
\(581\) | −846.000 | + | 1465.31i | −0.0604096 | + | 0.104633i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −32.0000 | − | 55.4256i | −0.00227325 | − | 0.00393738i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19368.0 | −1.36533 | ||||||||
\(587\) | −7083.00 | − | 12268.1i | −0.498035 | − | 0.862622i | 0.501962 | − | 0.864890i | \(-0.332612\pi\) |
−0.999997 | + | 0.00226720i | \(0.999278\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5400.00 | − | 9353.07i | 0.377764 | − | 0.654307i | ||||
\(590\) | −5000.00 | + | 8660.25i | −0.348893 | + | 0.604300i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 8512.00 | + | 14743.2i | 0.590948 | + | 1.02355i | ||||
\(593\) | 17842.0 | 1.23555 | 0.617777 | − | 0.786354i | \(-0.288034\pi\) | ||||
0.617777 | + | 0.786354i | \(0.288034\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −780.000 | −0.0537427 | ||||||||
\(596\) | −8200.00 | − | 14202.8i | −0.563566 | − | 0.976124i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 5928.00 | − | 10267.6i | 0.405374 | − | 0.702129i | ||||
\(599\) | 8800.00 | − | 15242.0i | 0.600264 | − | 1.03969i | −0.392517 | − | 0.919745i | \(-0.628395\pi\) |
0.992781 | − | 0.119943i | \(-0.0382712\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −13651.0 | − | 23644.2i | −0.926516 | − | 1.60477i | −0.789105 | − | 0.614258i | \(-0.789455\pi\) |
−0.137410 | − | 0.990514i | \(-0.543878\pi\) | |||||||
\(602\) | −10608.0 | −0.718189 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 14816.0 | 0.998103 | ||||||||
\(605\) | −767.500 | − | 1329.35i | −0.0515757 | − | 0.0893318i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1897.00 | − | 3285.70i | 0.126848 | − | 0.219708i | −0.795606 | − | 0.605815i | \(-0.792847\pi\) |
0.922454 | + | 0.386107i | \(0.126181\pi\) | |||||||
\(608\) | −12800.0 | + | 22170.3i | −0.853797 | + | 1.47882i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 5180.00 | + | 8972.02i | 0.343823 | + | 0.595519i | ||||
\(611\) | 19532.0 | 1.29326 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −13238.0 | −0.872231 | −0.436116 | − | 0.899891i | \(-0.643646\pi\) | ||||
−0.436116 | + | 0.899891i | \(0.643646\pi\) | |||||||
\(614\) | −5188.00 | − | 8985.88i | −0.340995 | − | 0.590620i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 5787.00 | − | 10023.4i | 0.377595 | − | 0.654013i | −0.613117 | − | 0.789992i | \(-0.710085\pi\) |
0.990712 | + | 0.135979i | \(0.0434180\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4150.00 | − | 7188.01i | −0.269471 | − | 0.466738i | 0.699254 | − | 0.714873i | \(-0.253516\pi\) |
−0.968725 | + | 0.248135i | \(0.920182\pi\) | |||||||
\(620\) | 4320.00 | 0.279831 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −29328.0 | −1.89059 | ||||||||
\(623\) | 450.000 | + | 779.423i | 0.0289388 | + | 0.0501235i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −312.500 | + | 541.266i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 3124.00 | − | 5410.93i | 0.199457 | − | 0.345470i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 9976.00 | + | 17278.9i | 0.633894 | + | 1.09794i | ||||
\(629\) | 6916.00 | 0.438409 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7508.00 | −0.473675 | −0.236837 | − | 0.971549i | \(-0.576111\pi\) | ||||
−0.236837 | + | 0.971549i | \(0.576111\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2852.00 | − | 4939.81i | 0.178655 | − | 0.309440i | ||||
\(635\) | 4615.00 | − | 7993.41i | 0.288411 | − | 0.499542i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −5833.00 | − | 10103.1i | −0.362813 | − | 0.628411i | ||||
\(638\) | 6400.00 | 0.397145 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13689.0 | + | 23710.0i | 0.843499 | + | 1.46098i | 0.886918 | + | 0.461927i | \(0.152842\pi\) |
−0.0434190 | + | 0.999057i | \(0.513825\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −921.000 | + | 1595.22i | −0.0564863 | + | 0.0978372i | −0.892886 | − | 0.450283i | \(-0.851323\pi\) |
0.836400 | + | 0.548120i | \(0.184656\pi\) | |||||||
\(644\) | 1872.00 | − | 3242.40i | 0.114545 | − | 0.198398i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5200.00 | + | 9006.66i | 0.316705 | + | 0.548549i | ||||
\(647\) | −10114.0 | −0.614563 | −0.307282 | − | 0.951619i | \(-0.599419\pi\) | ||||
−0.307282 | + | 0.951619i | \(0.599419\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 16000.0 | 0.967727 | ||||||||
\(650\) | −1900.00 | − | 3290.90i | −0.114653 | − | 0.198584i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11048.0 | + | 19135.7i | −0.663609 | + | 1.14940i | ||||
\(653\) | −5201.00 | + | 9008.40i | −0.311686 | + | 0.539856i | −0.978727 | − | 0.205165i | \(-0.934227\pi\) |
0.667042 | + | 0.745020i | \(0.267560\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −5520.00 | − | 9560.92i | −0.329289 | − | 0.570345i | ||||
\(656\) | −1408.00 | −0.0838006 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 12336.0 | 0.730862 | ||||||||
\(659\) | −3550.00 | − | 6148.78i | −0.209846 | − | 0.363464i | 0.741820 | − | 0.670599i | \(-0.233963\pi\) |
−0.951666 | + | 0.307135i | \(0.900630\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3559.00 | − | 6164.37i | 0.209424 | − | 0.362732i | −0.742109 | − | 0.670279i | \(-0.766175\pi\) |
0.951533 | + | 0.307546i | \(0.0995079\pi\) | |||||||
\(662\) | −8016.00 | + | 13884.1i | −0.470620 | + | 0.815138i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −3000.00 | −0.174940 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 3900.00 | 0.226400 | ||||||||
\(668\) | −12504.0 | − | 21657.6i | −0.724243 | − | 1.25443i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −1260.00 | + | 2182.38i | −0.0726538 | + | 0.125840i | ||||
\(671\) | 8288.00 | − | 14355.2i | 0.476833 | − | 0.825898i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15639.0 | + | 27087.5i | 0.895749 | + | 1.55148i | 0.832875 | + | 0.553462i | \(0.186693\pi\) |
0.0628744 | + | 0.998021i | \(0.479973\pi\) | |||||||
\(674\) | −35464.0 | −2.02674 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −6024.00 | −0.342740 | ||||||||
\(677\) | 15027.0 | + | 26027.5i | 0.853079 | + | 1.47758i | 0.878416 | + | 0.477897i | \(0.158601\pi\) |
−0.0253367 | + | 0.999679i | \(0.508066\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1158.00 | + | 2005.71i | −0.0654491 | + | 0.113361i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6912.00 | − | 11971.9i | −0.388085 | − | 0.672183i | ||||
\(683\) | −4518.00 | −0.253113 | −0.126557 | − | 0.991959i | \(-0.540393\pi\) | ||||
−0.126557 | + | 0.991959i | \(0.540393\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11670.0 | 0.650931 | ||||||||
\(686\) | −7800.00 | − | 13510.0i | −0.434119 | − | 0.751916i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 14144.0 | − | 24498.1i | 0.783772 | − | 1.35753i | ||||
\(689\) | 38.0000 | − | 65.8179i | 0.00210114 | − | 0.00363928i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −14636.0 | − | 25350.3i | −0.805759 | − | 1.39562i | −0.915777 | − | 0.401686i | \(-0.868424\pi\) |
0.110018 | − | 0.993930i | \(-0.464909\pi\) | |||||||
\(692\) | −624.000 | −0.0342788 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 6856.00 | 0.375000 | ||||||||
\(695\) | −1750.00 | − | 3031.09i | −0.0955126 | − | 0.165433i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −286.000 | + | 495.367i | −0.0155424 | + | 0.0269202i | ||||
\(698\) | 2300.00 | − | 3983.72i | 0.124722 | − | 0.216026i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −600.000 | − | 1039.23i | −0.0323970 | − | 0.0561132i | ||||
\(701\) | −5798.00 | −0.312393 | −0.156196 | − | 0.987726i | \(-0.549923\pi\) | ||||
−0.156196 | + | 0.987726i | \(0.549923\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 26600.0 | 1.42708 | ||||||||
\(704\) | 8192.00 | + | 14189.0i | 0.438562 | + | 0.759612i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −8796.00 | + | 15235.1i | −0.468898 | + | 0.812155i | ||||
\(707\) | −2106.00 | + | 3647.70i | −0.112029 | + | 0.194039i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −4475.00 | − | 7750.93i | −0.237041 | − | 0.410567i | 0.722823 | − | 0.691033i | \(-0.242844\pi\) |
−0.959864 | + | 0.280466i | \(0.909511\pi\) | |||||||
\(710\) | 8240.00 | 0.435552 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −4212.00 | − | 7295.40i | −0.221235 | − | 0.383190i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3040.00 | + | 5265.43i | −0.159006 | + | 0.275407i | ||||
\(716\) | 5200.00 | − | 9006.66i | 0.271415 | − | 0.470105i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 3600.00 | + | 6235.38i | 0.187118 | + | 0.324098i | ||||
\(719\) | 7800.00 | 0.404577 | 0.202289 | − | 0.979326i | \(-0.435162\pi\) | ||||
0.202289 | + | 0.979326i | \(0.435162\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −3588.00 | −0.185332 | ||||||||
\(722\) | 6282.00 | + | 10880.7i | 0.323811 | + | 0.560858i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −6968.00 | + | 12068.9i | −0.357685 | + | 0.619528i | ||||
\(725\) | 625.000 | − | 1082.53i | 0.0320164 | − | 0.0554541i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4277.00 | + | 7407.98i | 0.218191 | + | 0.377919i | 0.954255 | − | 0.298994i | \(-0.0966510\pi\) |
−0.736064 | + | 0.676912i | \(0.763318\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −17560.0 | −0.890308 | ||||||||
\(731\) | −5746.00 | − | 9952.36i | −0.290730 | − | 0.503559i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1441.00 | + | 2495.89i | −0.0726119 | + | 0.125768i | −0.900045 | − | 0.435796i | \(-0.856467\pi\) |
0.827433 | + | 0.561564i | \(0.189800\pi\) | |||||||
\(734\) | −11748.0 | + | 20348.1i | −0.590772 | + | 1.02325i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9984.00 | + | 17292.8i | 0.500021 | + | 0.866061i | ||||
\(737\) | 4032.00 | 0.201521 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 18700.0 | 0.930840 | 0.465420 | − | 0.885090i | \(-0.345903\pi\) | ||||
0.465420 | + | 0.885090i | \(0.345903\pi\) | |||||||
\(740\) | 5320.00 | + | 9214.51i | 0.264280 | + | 0.457746i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 24.0000 | − | 41.5692i | 0.00118742 | − | 0.00205668i | ||||
\(743\) | −6121.00 | + | 10601.9i | −0.302231 | + | 0.523480i | −0.976641 | − | 0.214878i | \(-0.931065\pi\) |
0.674410 | + | 0.738357i | \(0.264398\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5125.00 | + | 8876.76i | 0.252034 | + | 0.436536i | ||||
\(746\) | 8312.00 | 0.407941 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 6656.00 | 0.325358 | ||||||||
\(749\) | 3582.00 | + | 6204.21i | 0.174744 | + | 0.302666i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15574.0 | − | 26975.0i | 0.756729 | − | 1.31069i | −0.187781 | − | 0.982211i | \(-0.560130\pi\) |
0.944510 | − | 0.328482i | \(-0.106537\pi\) | |||||||
\(752\) | −16448.0 | + | 28488.8i | −0.797602 | + | 1.38149i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 3800.00 | + | 6581.79i | 0.183538 | + | 0.317898i | ||||
\(755\) | −9260.00 | −0.446365 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −7694.00 | −0.369410 | −0.184705 | − | 0.982794i | \(-0.559133\pi\) | ||||
−0.184705 | + | 0.982794i | \(0.559133\pi\) | |||||||
\(758\) | 15800.0 | + | 27366.4i | 0.757100 | + | 1.31134i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 2259.00 | − | 3912.70i | 0.107607 | − | 0.186380i | −0.807194 | − | 0.590287i | \(-0.799015\pi\) |
0.914800 | + | 0.403907i | \(0.132348\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1650.00 | + | 2857.88i | 0.0782883 | + | 0.135599i | ||||
\(764\) | 30176.0 | 1.42897 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 30072.0 | 1.41847 | ||||||||
\(767\) | 9500.00 | + | 16454.5i | 0.447230 | + | 0.774624i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 19775.0 | − | 34251.3i | 0.927314 | − | 1.60616i | 0.139518 | − | 0.990220i | \(-0.455445\pi\) |
0.787796 | − | 0.615936i | \(-0.211222\pi\) | |||||||
\(770\) | −1920.00 | + | 3325.54i | −0.0898597 | + | 0.155642i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 1432.00 | + | 2480.30i | 0.0667601 | + | 0.115632i | ||||
\(773\) | 22122.0 | 1.02933 | 0.514666 | − | 0.857391i | \(-0.327916\pi\) | ||||
0.514666 | + | 0.857391i | \(0.327916\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2700.00 | −0.125144 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −3900.00 | + | 6755.00i | −0.179720 | + | 0.311283i | ||||
\(779\) | −1100.00 | + | 1905.26i | −0.0505925 | + | 0.0876289i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −6592.00 | − | 11417.7i | −0.302023 | − | 0.523120i | ||||
\(782\) | 8112.00 | 0.370952 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 19648.0 | 0.895044 | ||||||||
\(785\) | −6235.00 | − | 10799.3i | −0.283486 | − | 0.491013i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 8317.00 | − | 14405.5i | 0.376708 | − | 0.652477i | −0.613873 | − | 0.789405i | \(-0.710389\pi\) |
0.990581 | + | 0.136928i | \(0.0437228\pi\) | |||||||
\(788\) | 8856.00 | − | 15339.0i | 0.400358 | − | 0.693440i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −6000.00 | − | 10392.3i | −0.270216 | − | 0.468027i | ||||
\(791\) | 9372.00 | 0.421277 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 19684.0 | 0.881462 | ||||||||
\(794\) | 27572.0 | + | 47756.1i | 1.23236 | + | 2.13451i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 10400.0 | − | 18013.3i | 0.463088 | − | 0.802092i | ||||
\(797\) | −13793.0 | + | 23890.2i | −0.613015 | + | 1.06177i | 0.377714 | + | 0.925922i | \(0.376710\pi\) |
−0.990729 | + | 0.135851i | \(0.956623\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 6682.00 | + | 11573.6i | 0.295860 | + | 0.512445i | ||||
\(800\) | 6400.00 | 0.282843 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −25608.0 | −1.12749 | ||||||||
\(803\) | 14048.0 | + | 24331.8i | 0.617364 | + | 1.06931i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1170.00 | + | 2026.50i | −0.0512262 | + | 0.0887264i | ||||
\(806\) | 8208.00 | − | 14216.7i | 0.358703 | − | 0.621292i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 3850.00 | 0.167316 | 0.0836581 | − | 0.996495i | \(-0.473340\pi\) | ||||
0.0836581 | + | 0.996495i | \(0.473340\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 10032.0 | 0.434366 | 0.217183 | − | 0.976131i | \(-0.430313\pi\) | ||||
0.217183 | + | 0.976131i | \(0.430313\pi\) | |||||||
\(812\) | 1200.00 | + | 2078.46i | 0.0518618 | + | 0.0898272i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 17024.0 | − | 29486.4i | 0.733035 | − | 1.26965i | ||||
\(815\) | 6905.00 | − | 11959.8i | 0.296775 | − | 0.514029i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −22100.0 | − | 38278.3i | −0.946366 | − | 1.63915i | ||||
\(818\) | −44600.0 | −1.90636 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −880.000 | −0.0374767 | ||||||||
\(821\) | −10281.0 | − | 17807.2i | −0.437039 | − | 0.756975i | 0.560420 | − | 0.828208i | \(-0.310640\pi\) |
−0.997460 | + | 0.0712339i | \(0.977306\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5161.00 | + | 8939.11i | −0.218592 | + | 0.378612i | −0.954378 | − | 0.298602i | \(-0.903480\pi\) |
0.735786 | + | 0.677214i | \(0.236813\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 6000.00 | + | 10392.3i | 0.252744 | + | 0.437766i | ||||
\(827\) | 8846.00 | 0.371954 | 0.185977 | − | 0.982554i | \(-0.440455\pi\) | ||||
0.185977 | + | 0.982554i | \(0.440455\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −25350.0 | −1.06205 | −0.531026 | − | 0.847355i | \(-0.678194\pi\) | ||||
−0.531026 | + | 0.847355i | \(0.678194\pi\) | |||||||
\(830\) | −2820.00 | − | 4884.38i | −0.117932 | − | 0.204264i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −9728.00 | + | 16849.4i | −0.405358 | + | 0.702100i | ||||
\(833\) | 3991.00 | − | 6912.61i | 0.166002 | − | 0.287524i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 7815.00 | + | 13536.0i | 0.323891 | + | 0.560996i | ||||
\(836\) | 25600.0 | 1.05908 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 54800.0 | 2.25899 | ||||||||
\(839\) | −23000.0 | − | 39837.2i | −0.946422 | − | 1.63925i | −0.752878 | − | 0.658160i | \(-0.771335\pi\) |
−0.193544 | − | 0.981092i | \(-0.561998\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10944.5 | − | 18956.4i | 0.448747 | − | 0.777253i | ||||
\(842\) | −10876.0 | + | 18837.8i | −0.445145 | + | 0.771013i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 4672.00 | + | 8092.14i | 0.190541 | + | 0.330027i | ||||
\(845\) | 3765.00 | 0.153278 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1842.00 | −0.0747248 | ||||||||
\(848\) | 64.0000 | + | 110.851i | 0.00259171 | + | 0.00448897i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 1300.00 | − | 2251.67i | 0.0524584 | − | 0.0908606i | ||||
\(851\) | 10374.0 | − | 17968.3i | 0.417880 | − | 0.723790i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 8499.00 | + | 14720.7i | 0.341149 | + | 0.590888i | 0.984646 | − | 0.174561i | \(-0.0558505\pi\) |
−0.643497 | + | 0.765448i | \(0.722517\pi\) | |||||||
\(854\) | 12432.0 | 0.498143 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 13247.0 | + | 22944.5i | 0.528015 | + | 0.914549i | 0.999467 | + | 0.0326569i | \(0.0103969\pi\) |
−0.471452 | + | 0.881892i | \(0.656270\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 10750.0 | − | 18619.5i | 0.426991 | − | 0.739570i | −0.569613 | − | 0.821913i | \(-0.692907\pi\) |
0.996604 | + | 0.0823429i | \(0.0262403\pi\) | |||||||
\(860\) | 8840.00 | − | 15311.3i | 0.350513 | − | 0.607107i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 15384.0 | + | 26645.9i | 0.607867 | + | 1.05286i | ||||
\(863\) | 25762.0 | 1.01616 | 0.508082 | − | 0.861309i | \(-0.330355\pi\) | ||||
0.508082 | + | 0.861309i | \(0.330355\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 390.000 | 0.0153299 | ||||||||
\(866\) | −2236.00 | − | 3872.87i | −0.0877395 | − | 0.151969i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 2592.00 | − | 4489.48i | 0.101357 | − | 0.175556i | ||||
\(869\) | −9600.00 | + | 16627.7i | −0.374750 | + | 0.649086i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2394.00 | + | 4146.53i | 0.0931316 | + | 0.161309i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 31200.0 | 1.20750 | ||||||||
\(875\) | 375.000 | + | 649.519i | 0.0144884 | + | 0.0250946i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −15273.0 | + | 26453.6i | −0.588064 | + | 1.01856i | 0.406421 | + | 0.913686i | \(0.366777\pi\) |
−0.994486 | + | 0.104872i | \(0.966557\pi\) | |||||||
\(878\) | −5200.00 | + | 9006.66i | −0.199876 | + | 0.346196i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5120.00 | − | 8868.10i | −0.196131 | − | 0.339709i | ||||
\(881\) | 32942.0 | 1.25976 | 0.629878 | − | 0.776694i | \(-0.283105\pi\) | ||||
0.629878 | + | 0.776694i | \(0.283105\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −27118.0 | −1.03351 | −0.516757 | − | 0.856132i | \(-0.672861\pi\) | ||||
−0.516757 | + | 0.856132i | \(0.672861\pi\) | |||||||
\(884\) | 3952.00 | + | 6845.06i | 0.150362 | + | 0.260435i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −23916.0 | + | 41423.7i | −0.906855 | + | 1.57072i | ||||
\(887\) | 19317.0 | − | 33458.0i | 0.731230 | − | 1.26653i | −0.225127 | − | 0.974329i | \(-0.572280\pi\) |
0.956358 | − | 0.292199i | \(-0.0943869\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −5538.00 | − | 9592.10i | −0.208930 | − | 0.361877i | ||||
\(890\) | −3000.00 | −0.112989 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −51824.0 | −1.94529 | ||||||||
\(893\) | 25700.0 | + | 44513.7i | 0.963066 | + | 1.66808i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3250.00 | + | 5629.17i | −0.121380 | + | 0.210237i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −34100.0 | − | 59062.9i | −1.26718 | − | 2.19483i | ||||
\(899\) | 5400.00 | 0.200334 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 52.0000 | 0.00192272 | ||||||||
\(902\) | 1408.00 | + | 2438.73i | 0.0519748 | + | 0.0900230i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 4355.00 | − | 7543.08i | 0.159961 | − | 0.277061i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 897.000 | + | 1553.65i | 0.0328384 | + | 0.0568777i | 0.881978 | − | 0.471291i | \(-0.156212\pi\) |
−0.849139 | + | 0.528169i | \(0.822879\pi\) | |||||||
\(908\) | 5168.00 | 0.188883 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −4560.00 | −0.166113 | ||||||||
\(911\) | −20866.0 | − | 36141.0i | −0.758860 | − | 1.31438i | −0.943432 | − | 0.331565i | \(-0.892423\pi\) |
0.184572 | − | 0.982819i | \(-0.440910\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −4512.00 | + | 7815.01i | −0.163555 | + | 0.283285i | ||||
\(914\) | −18988.0 | + | 32888.2i | −0.687163 | + | 1.19020i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −15000.0 | − | 25980.8i | −0.541063 | − | 0.937149i | ||||
\(917\) | −13248.0 | −0.477086 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 29200.0 | 1.04812 | 0.524058 | − | 0.851682i | \(-0.324417\pi\) | ||||
0.524058 | + | 0.851682i | \(0.324417\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −22836.0 | + | 39553.1i | −0.815687 | + | 1.41281i | ||||
\(923\) | 7828.00 | − | 13558.5i | 0.279157 | − | 0.483514i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3325.00 | − | 5759.07i | −0.118190 | − | 0.204710i | ||||
\(926\) | −31848.0 | −1.13023 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −12800.0 | −0.452781 | ||||||||
\(929\) | 24325.0 | + | 42132.1i | 0.859071 | + | 1.48796i | 0.872816 | + | 0.488050i | \(0.162292\pi\) |
−0.0137443 | + | 0.999906i | \(0.504375\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 15350.0 | − | 26587.0i | 0.540361 | − | 0.935932i | ||||
\(932\) | −5928.00 | + | 10267.6i | −0.208346 | + | 0.360865i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 13052.0 | + | 22606.7i | 0.457253 | + | 0.791986i | ||||
\(935\) | −4160.00 | −0.145504 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11334.0 | −0.395161 | −0.197580 | − | 0.980287i | \(-0.563308\pi\) | ||||
−0.197580 | + | 0.980287i | \(0.563308\pi\) | |||||||
\(938\) | 1512.00 | + | 2618.86i | 0.0526317 | + | 0.0911608i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −10280.0 | + | 17805.5i | −0.356699 | + | 0.617820i | ||||
\(941\) | 15589.0 | − | 27000.9i | 0.540050 | − | 0.935394i | −0.458851 | − | 0.888513i | \(-0.651739\pi\) |
0.998901 | − | 0.0468803i | \(-0.0149279\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 858.000 | + | 1486.10i | 0.0296292 | + | 0.0513193i | ||||
\(944\) | −32000.0 | −1.10330 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −56576.0 | −1.94444 | ||||||||
\(947\) | −2343.00 | − | 4058.20i | −0.0803984 | − | 0.139254i | 0.823023 | − | 0.568008i | \(-0.192286\pi\) |
−0.903421 | + | 0.428754i | \(0.858953\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −16682.0 | + | 28894.1i | −0.570622 | + | 0.988347i | ||||
\(950\) | 5000.00 | − | 8660.25i | 0.170759 | − | 0.295764i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −598.000 | −0.0203265 | −0.0101632 | − | 0.999948i | \(-0.503235\pi\) | ||||
−0.0101632 | + | 0.999948i | \(0.503235\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −18860.0 | −0.639053 | ||||||||
\(956\) | −5600.00 | − | 9699.48i | −0.189453 | − | 0.328142i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 34800.0 | − | 60275.4i | 1.17363 | − | 2.03279i | ||||
\(959\) | 7002.00 | − | 12127.8i | 0.235773 | − | 0.408371i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9063.50 | + | 15698.4i | 0.304236 | + | 0.526953i | ||||
\(962\) | 40432.0 | 1.35507 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 24176.0 | 0.807735 | ||||||||
\(965\) | −895.000 | − | 1550.19i | −0.0298560 | − | 0.0517122i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −20863.0 | + | 36135.8i | −0.693804 | + | 1.20170i | 0.276778 | + | 0.960934i | \(0.410733\pi\) |
−0.970582 | + | 0.240770i | \(0.922600\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −3860.00 | − | 6685.72i | −0.127770 | − | 0.221305i | ||||
\(971\) | 24312.0 | 0.803511 | 0.401756 | − | 0.915747i | \(-0.368400\pi\) | ||||
0.401756 | + | 0.915747i | \(0.368400\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −4200.00 | −0.138382 | ||||||||
\(974\) | 2332.00 | + | 4039.14i | 0.0767167 | + | 0.132877i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −16576.0 | + | 28710.5i | −0.543632 | + | 0.941598i | ||||
\(977\) | −20473.0 | + | 35460.3i | −0.670409 | + | 1.16118i | 0.307380 | + | 0.951587i | \(0.400548\pi\) |
−0.977788 | + | 0.209595i | \(0.932785\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2400.00 | + | 4156.92i | 0.0783497 | + | 0.135706i | ||||
\(980\) | 12280.0 | 0.400276 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −28288.0 | −0.919253 | ||||||||
\(983\) | −21141.0 | − | 36617.3i | −0.685954 | − | 1.18811i | −0.973136 | − | 0.230232i | \(-0.926052\pi\) |
0.287181 | − | 0.957876i | \(-0.407282\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −5535.00 | + | 9586.90i | −0.179045 | + | 0.310116i | ||||
\(986\) | −2600.00 | + | 4503.33i | −0.0839765 | + | 0.145452i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 15200.0 | + | 26327.2i | 0.489450 | + | 0.847752i | ||||
\(989\) | −34476.0 | −1.10847 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 1172.00 | 0.0375679 | 0.0187840 | − | 0.999824i | \(-0.494021\pi\) | ||||
0.0187840 | + | 0.999824i | \(0.494021\pi\) | |||||||
\(992\) | 13824.0 | + | 23943.9i | 0.442452 | + | 0.766349i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 4944.00 | − | 8563.26i | 0.157761 | − | 0.273250i | ||||
\(995\) | −6500.00 | + | 11258.3i | −0.207099 | + | 0.358707i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 15807.0 | + | 27378.5i | 0.502119 | + | 0.869696i | 0.999997 | + | 0.00244862i | \(0.000779421\pi\) |
−0.497878 | + | 0.867247i | \(0.665887\pi\) | |||||||
\(998\) | −400.000 | −0.0126872 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))