Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [245,4,Mod(116,245)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(245, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("245.116");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 245 = 5 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 245.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: | \(14.4554679514\) |
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 | 226.1 | ||
Root | \(0.500000 - 0.866025i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 245.226 |
Dual form | 245.4.e.f.116.1 |
$q$-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 \(\left(\mathbb{Z}/245\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(197\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00000 | − | 3.46410i | 0.707107 | − | 1.22474i | −0.258819 | − | 0.965926i | \(-0.583333\pi\) |
0.965926 | − | 0.258819i | \(-0.0833333\pi\) | |||||||
\(3\) | −1.00000 | − | 1.73205i | −0.192450 | − | 0.333333i | 0.753612 | − | 0.657320i | \(-0.228310\pi\) |
−0.946062 | + | 0.323987i | \(0.894977\pi\) | |||||||
\(4\) | −4.00000 | − | 6.92820i | −0.500000 | − | 0.866025i | ||||
\(5\) | 2.50000 | − | 4.33013i | 0.223607 | − | 0.387298i | ||||
\(6\) | −8.00000 | −0.544331 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 11.5000 | − | 19.9186i | 0.425926 | − | 0.737725i | ||||
\(10\) | −10.0000 | − | 17.3205i | −0.316228 | − | 0.547723i | ||||
\(11\) | −16.0000 | − | 27.7128i | −0.438562 | − | 0.759612i | 0.559017 | − | 0.829156i | \(-0.311179\pi\) |
−0.997579 | + | 0.0695447i | \(0.977845\pi\) | |||||||
\(12\) | −8.00000 | + | 13.8564i | −0.192450 | + | 0.333333i | ||||
\(13\) | −38.0000 | −0.810716 | −0.405358 | − | 0.914158i | \(-0.632853\pi\) | ||||
−0.405358 | + | 0.914158i | \(0.632853\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −10.0000 | −0.172133 | ||||||||
\(16\) | 32.0000 | − | 55.4256i | 0.500000 | − | 0.866025i | ||||
\(17\) | −13.0000 | − | 22.5167i | −0.185468 | − | 0.321241i | 0.758266 | − | 0.651945i | \(-0.226047\pi\) |
−0.943734 | + | 0.330705i | \(0.892714\pi\) | |||||||
\(18\) | −46.0000 | − | 79.6743i | −0.602350 | − | 1.04330i | ||||
\(19\) | −50.0000 | + | 86.6025i | −0.603726 | + | 1.04568i | 0.388526 | + | 0.921438i | \(0.372984\pi\) |
−0.992251 | + | 0.124246i | \(0.960349\pi\) | |||||||
\(20\) | −40.0000 | −0.447214 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −128.000 | −1.24044 | ||||||||
\(23\) | 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 | ||||
\(26\) | −76.0000 | + | 131.636i | −0.573263 | + | 0.992920i | ||||
\(27\) | −100.000 | −0.712778 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −50.0000 | −0.320164 | −0.160082 | − | 0.987104i | \(-0.551176\pi\) | ||||
−0.160082 | + | 0.987104i | \(0.551176\pi\) | |||||||
\(30\) | −20.0000 | + | 34.6410i | −0.121716 | + | 0.210819i | ||||
\(31\) | 54.0000 | + | 93.5307i | 0.312861 | + | 0.541891i | 0.978980 | − | 0.203954i | \(-0.0653793\pi\) |
−0.666120 | + | 0.745845i | \(0.732046\pi\) | |||||||
\(32\) | −128.000 | − | 221.703i | −0.707107 | − | 1.22474i | ||||
\(33\) | −32.0000 | + | 55.4256i | −0.168803 | + | 0.292375i | ||||
\(34\) | −104.000 | −0.524584 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −184.000 | −0.851852 | ||||||||
\(37\) | −133.000 | + | 230.363i | −0.590948 | + | 1.02355i | 0.403157 | + | 0.915131i | \(0.367913\pi\) |
−0.994105 | + | 0.108421i | \(0.965421\pi\) | |||||||
\(38\) | 200.000 | + | 346.410i | 0.853797 | + | 1.47882i | ||||
\(39\) | 38.0000 | + | 65.8179i | 0.156022 | + | 0.270239i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 22.0000 | 0.0838006 | 0.0419003 | − | 0.999122i | \(-0.486659\pi\) | ||||
0.0419003 | + | 0.999122i | \(0.486659\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 442.000 | 1.56754 | 0.783772 | − | 0.621049i | \(-0.213293\pi\) | ||||
0.783772 | + | 0.621049i | \(0.213293\pi\) | |||||||
\(44\) | −128.000 | + | 221.703i | −0.438562 | + | 0.759612i | ||||
\(45\) | −57.5000 | − | 99.5929i | −0.190480 | − | 0.329921i | ||||
\(46\) | −156.000 | − | 270.200i | −0.500021 | − | 0.866061i | ||||
\(47\) | 257.000 | − | 445.137i | 0.797602 | − | 1.38149i | −0.123571 | − | 0.992336i | \(-0.539435\pi\) |
0.921174 | − | 0.389152i | \(-0.127232\pi\) | |||||||
\(48\) | −128.000 | −0.384900 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | −100.000 | −0.282843 | ||||||||
\(51\) | −26.0000 | + | 45.0333i | −0.0713868 | + | 0.123646i | ||||
\(52\) | 152.000 | + | 263.272i | 0.405358 | + | 0.702100i | ||||
\(53\) | −1.00000 | − | 1.73205i | −0.00259171 | − | 0.00448897i | 0.864727 | − | 0.502243i | \(-0.167492\pi\) |
−0.867318 | + | 0.497754i | \(0.834158\pi\) | |||||||
\(54\) | −200.000 | + | 346.410i | −0.504010 | + | 0.872971i | ||||
\(55\) | −160.000 | −0.392262 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 200.000 | 0.464748 | ||||||||
\(58\) | −100.000 | + | 173.205i | −0.226390 | + | 0.392120i | ||||
\(59\) | −250.000 | − | 433.013i | −0.551648 | − | 0.955482i | −0.998156 | − | 0.0607026i | \(-0.980666\pi\) |
0.446508 | − | 0.894780i | \(-0.352667\pi\) | |||||||
\(60\) | 40.0000 | + | 69.2820i | 0.0860663 | + | 0.149071i | ||||
\(61\) | 259.000 | − | 448.601i | 0.543632 | − | 0.941598i | −0.455060 | − | 0.890461i | \(-0.650382\pi\) |
0.998692 | − | 0.0511373i | \(-0.0162846\pi\) | |||||||
\(62\) | 432.000 | 0.884904 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −512.000 | −1.00000 | ||||||||
\(65\) | −95.0000 | + | 164.545i | −0.181282 | + | 0.313989i | ||||
\(66\) | 128.000 | + | 221.703i | 0.238723 | + | 0.413480i | ||||
\(67\) | −63.0000 | − | 109.119i | −0.114876 | − | 0.198971i | 0.802854 | − | 0.596175i | \(-0.203314\pi\) |
−0.917730 | + | 0.397205i | \(0.869980\pi\) | |||||||
\(68\) | −104.000 | + | 180.133i | −0.185468 | + | 0.321241i | ||||
\(69\) | −156.000 | −0.272177 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 412.000 | 0.688668 | 0.344334 | − | 0.938847i | \(-0.388105\pi\) | ||||
0.344334 | + | 0.938847i | \(0.388105\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 439.000 | + | 760.370i | 0.703850 | + | 1.21910i | 0.967105 | + | 0.254378i | \(0.0818707\pi\) |
−0.263255 | + | 0.964726i | \(0.584796\pi\) | |||||||
\(74\) | 532.000 | + | 921.451i | 0.835726 | + | 1.44752i | ||||
\(75\) | −25.0000 | + | 43.3013i | −0.0384900 | + | 0.0666667i | ||||
\(76\) | 800.000 | 1.20745 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 304.000 | 0.441298 | ||||||||
\(79\) | −300.000 | + | 519.615i | −0.427249 | + | 0.740016i | −0.996627 | − | 0.0820590i | \(-0.973850\pi\) |
0.569379 | + | 0.822075i | \(0.307184\pi\) | |||||||
\(80\) | −160.000 | − | 277.128i | −0.223607 | − | 0.387298i | ||||
\(81\) | −210.500 | − | 364.597i | −0.288752 | − | 0.500133i | ||||
\(82\) | 44.0000 | − | 76.2102i | 0.0592559 | − | 0.102634i | ||||
\(83\) | 282.000 | 0.372934 | 0.186467 | − | 0.982461i | \(-0.440296\pi\) | ||||
0.186467 | + | 0.982461i | \(0.440296\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −130.000 | −0.165888 | ||||||||
\(86\) | 884.000 | − | 1531.13i | 1.10842 | − | 1.91984i | ||||
\(87\) | 50.0000 | + | 86.6025i | 0.0616157 | + | 0.106721i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 75.0000 | − | 129.904i | 0.0893257 | − | 0.154717i | −0.817901 | − | 0.575360i | \(-0.804862\pi\) |
0.907226 | + | 0.420643i | \(0.138195\pi\) | |||||||
\(90\) | −460.000 | −0.538758 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | −624.000 | −0.707136 | ||||||||
\(93\) | 108.000 | − | 187.061i | 0.120420 | − | 0.208574i | ||||
\(94\) | −1028.00 | − | 1780.55i | −1.12798 | − | 1.95372i | ||||
\(95\) | 250.000 | + | 433.013i | 0.269994 | + | 0.467644i | ||||
\(96\) | −256.000 | + | 443.405i | −0.272166 | + | 0.471405i | ||||
\(97\) | 386.000 | 0.404045 | 0.202022 | − | 0.979381i | \(-0.435249\pi\) | ||||
0.202022 | + | 0.979381i | \(0.435249\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −736.000 | −0.747180 | ||||||||
\(100\) | −100.000 | + | 173.205i | −0.100000 | + | 0.173205i | ||||
\(101\) | −351.000 | − | 607.950i | −0.345800 | − | 0.598943i | 0.639699 | − | 0.768626i | \(-0.279059\pi\) |
−0.985499 | + | 0.169682i | \(0.945726\pi\) | |||||||
\(102\) | 104.000 | + | 180.133i | 0.100956 | + | 0.174861i | ||||
\(103\) | 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 | ||||||||
\(106\) | −8.00000 | −0.00733046 | ||||||||
\(107\) | 597.000 | − | 1034.03i | 0.539385 | − | 0.934242i | −0.459552 | − | 0.888151i | \(-0.651990\pi\) |
0.998937 | − | 0.0460912i | \(-0.0146765\pi\) | |||||||
\(108\) | 400.000 | + | 692.820i | 0.356389 | + | 0.617284i | ||||
\(109\) | 275.000 | + | 476.314i | 0.241653 | + | 0.418556i | 0.961185 | − | 0.275903i | \(-0.0889770\pi\) |
−0.719532 | + | 0.694459i | \(0.755644\pi\) | |||||||
\(110\) | −320.000 | + | 554.256i | −0.277371 | + | 0.480421i | ||||
\(111\) | 532.000 | 0.454912 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1562.00 | 1.30036 | 0.650180 | − | 0.759781i | \(-0.274694\pi\) | ||||
0.650180 | + | 0.759781i | \(0.274694\pi\) | |||||||
\(114\) | 400.000 | − | 692.820i | 0.328627 | − | 0.569198i | ||||
\(115\) | −195.000 | − | 337.750i | −0.158120 | − | 0.273873i | ||||
\(116\) | 200.000 | + | 346.410i | 0.160082 | + | 0.277270i | ||||
\(117\) | −437.000 | + | 756.906i | −0.345305 | + | 0.598085i | ||||
\(118\) | −2000.00 | −1.56030 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 153.500 | − | 265.870i | 0.115327 | − | 0.199752i | ||||
\(122\) | −1036.00 | − | 1794.40i | −0.768812 | − | 1.33162i | ||||
\(123\) | −22.0000 | − | 38.1051i | −0.0161274 | − | 0.0279335i | ||||
\(124\) | 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 | ||||||||
\(129\) | −442.000 | − | 765.566i | −0.301674 | − | 0.522514i | ||||
\(130\) | 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 | \(-0.0967680\pi\) | |||||||
\(132\) | 512.000 | 0.337605 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | −504.000 | −0.324918 | ||||||||
\(135\) | −250.000 | + | 433.013i | −0.159382 | + | 0.276058i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 1167.00 | + | 2021.30i | 0.727763 | + | 1.26052i | 0.957827 | + | 0.287347i | \(0.0927733\pi\) |
−0.230064 | + | 0.973176i | \(0.573893\pi\) | |||||||
\(138\) | −312.000 | + | 540.400i | −0.192458 | + | 0.333347i | ||||
\(139\) | −700.000 | −0.427146 | −0.213573 | − | 0.976927i | \(-0.568510\pi\) | ||||
−0.213573 | + | 0.976927i | \(0.568510\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −1028.00 | −0.613994 | ||||||||
\(142\) | 824.000 | − | 1427.21i | 0.486962 | − | 0.843442i | ||||
\(143\) | 608.000 | + | 1053.09i | 0.355549 | + | 0.615829i | ||||
\(144\) | −736.000 | − | 1274.79i | −0.425926 | − | 0.737725i | ||||
\(145\) | −125.000 | + | 216.506i | −0.0715909 | + | 0.123999i | ||||
\(146\) | 3512.00 | 1.99079 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2128.00 | 1.18190 | ||||||||
\(149\) | −1025.00 | + | 1775.35i | −0.563566 | + | 0.976124i | 0.433616 | + | 0.901098i | \(0.357237\pi\) |
−0.997182 | + | 0.0750264i | \(0.976096\pi\) | |||||||
\(150\) | 100.000 | + | 173.205i | 0.0544331 | + | 0.0942809i | ||||
\(151\) | −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 | ||||||||
\(153\) | −598.000 | −0.315983 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 540.000 | 0.279831 | ||||||||
\(156\) | 304.000 | − | 526.543i | 0.156022 | − | 0.270239i | ||||
\(157\) | 1247.00 | + | 2159.87i | 0.633894 | + | 1.09794i | 0.986748 | + | 0.162259i | \(0.0518780\pi\) |
−0.352854 | + | 0.935678i | \(0.614789\pi\) | |||||||
\(158\) | 1200.00 | + | 2078.46i | 0.604221 | + | 1.04654i | ||||
\(159\) | −2.00000 | + | 3.46410i | −0.000997549 | + | 0.00172781i | ||||
\(160\) | −1280.00 | −0.632456 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | −1684.00 | −0.816713 | ||||||||
\(163\) | −1381.00 | + | 2391.96i | −0.663609 | + | 1.14940i | 0.316051 | + | 0.948742i | \(0.397643\pi\) |
−0.979660 | + | 0.200662i | \(0.935691\pi\) | |||||||
\(164\) | −88.0000 | − | 152.420i | −0.0419003 | − | 0.0725734i | ||||
\(165\) | 160.000 | + | 277.128i | 0.0754908 | + | 0.130754i | ||||
\(166\) | 564.000 | − | 976.877i | 0.263704 | − | 0.456749i | ||||
\(167\) | 3126.00 | 1.44849 | 0.724243 | − | 0.689545i | \(-0.242189\pi\) | ||||
0.724243 | + | 0.689545i | \(0.242189\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −753.000 | −0.342740 | ||||||||
\(170\) | −260.000 | + | 450.333i | −0.117301 | + | 0.203170i | ||||
\(171\) | 1150.00 | + | 1991.86i | 0.514285 | + | 0.890767i | ||||
\(172\) | −1768.00 | − | 3062.27i | −0.783772 | − | 1.35753i | ||||
\(173\) | 39.0000 | − | 67.5500i | 0.0171394 | − | 0.0296863i | −0.857328 | − | 0.514770i | \(-0.827877\pi\) |
0.874468 | + | 0.485083i | \(0.161211\pi\) | |||||||
\(174\) | 400.000 | 0.174275 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −2048.00 | −0.877124 | ||||||||
\(177\) | −500.000 | + | 866.025i | −0.212329 | + | 0.367765i | ||||
\(178\) | −300.000 | − | 519.615i | −0.126326 | − | 0.218802i | ||||
\(179\) | 650.000 | + | 1125.83i | 0.271415 | + | 0.470105i | 0.969224 | − | 0.246179i | \(-0.0791751\pi\) |
−0.697809 | + | 0.716283i | \(0.745842\pi\) | |||||||
\(180\) | −460.000 | + | 796.743i | −0.190480 | + | 0.329921i | ||||
\(181\) | 1742.00 | 0.715369 | 0.357685 | − | 0.933842i | \(-0.383566\pi\) | ||||
0.357685 | + | 0.933842i | \(0.383566\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −1036.00 | −0.418488 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 665.000 | + | 1151.81i | 0.264280 | + | 0.457746i | ||||
\(186\) | −432.000 | − | 748.246i | −0.170300 | − | 0.294968i | ||||
\(187\) | −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 | 0.248676 | + | 0.968587i | \(0.420004\pi\) |
−0.963159 | + | 0.268933i | \(0.913329\pi\) | |||||||
\(192\) | 512.000 | + | 886.810i | 0.192450 | + | 0.333333i | ||||
\(193\) | 179.000 | + | 310.037i | 0.0667601 | + | 0.115632i | 0.897473 | − | 0.441069i | \(-0.145400\pi\) |
−0.830713 | + | 0.556700i | \(0.812067\pi\) | |||||||
\(194\) | 772.000 | − | 1337.14i | 0.285703 | − | 0.494852i | ||||
\(195\) | 380.000 | 0.139551 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −2214.00 | −0.800716 | −0.400358 | − | 0.916359i | \(-0.631114\pi\) | ||||
−0.400358 | + | 0.916359i | \(0.631114\pi\) | |||||||
\(198\) | −1472.00 | + | 2549.58i | −0.528336 | + | 0.915104i | ||||
\(199\) | 1300.00 | + | 2251.67i | 0.463088 | + | 0.802092i | 0.999113 | − | 0.0421099i | \(-0.0134080\pi\) |
−0.536025 | + | 0.844202i | \(0.680075\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −126.000 | + | 218.238i | −0.0442157 | + | 0.0765838i | ||||
\(202\) | −2808.00 | −0.978070 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 416.000 | 0.142774 | ||||||||
\(205\) | 55.0000 | − | 95.2628i | 0.0187384 | − | 0.0324558i | ||||
\(206\) | −1196.00 | − | 2071.53i | −0.404511 | − | 0.700634i | ||||
\(207\) | −897.000 | − | 1553.65i | −0.301187 | − | 0.521672i | ||||
\(208\) | −1216.00 | + | 2106.17i | −0.405358 | + | 0.702100i | ||||
\(209\) | 3200.00 | 1.05908 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1168.00 | −0.381083 | −0.190541 | − | 0.981679i | \(-0.561024\pi\) | ||||
−0.190541 | + | 0.981679i | \(0.561024\pi\) | |||||||
\(212\) | −8.00000 | + | 13.8564i | −0.00259171 | + | 0.00448897i | ||||
\(213\) | −412.000 | − | 713.605i | −0.132534 | − | 0.229556i | ||||
\(214\) | −2388.00 | − | 4136.14i | −0.762805 | − | 1.32122i | ||||
\(215\) | 1105.00 | − | 1913.92i | 0.350513 | − | 0.607107i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 2200.00 | 0.683499 | ||||||||
\(219\) | 878.000 | − | 1520.74i | 0.270912 | − | 0.469233i | ||||
\(220\) | 640.000 | + | 1108.51i | 0.196131 | + | 0.339709i | ||||
\(221\) | 494.000 | + | 855.633i | 0.150362 | + | 0.260435i | ||||
\(222\) | 1064.00 | − | 1842.90i | 0.321671 | − | 0.557151i | ||||
\(223\) | −6478.00 | −1.94529 | −0.972643 | − | 0.232303i | \(-0.925374\pi\) | ||||
−0.972643 | + | 0.232303i | \(0.925374\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −575.000 | −0.170370 | ||||||||
\(226\) | 3124.00 | − | 5410.93i | 0.919493 | − | 1.59261i | ||||
\(227\) | −323.000 | − | 559.452i | −0.0944417 | − | 0.163578i | 0.814934 | − | 0.579554i | \(-0.196773\pi\) |
−0.909375 | + | 0.415976i | \(0.863440\pi\) | |||||||
\(228\) | −800.000 | − | 1385.64i | −0.232374 | − | 0.402484i | ||||
\(229\) | −1875.00 | + | 3247.60i | −0.541063 | + | 0.937149i | 0.457780 | + | 0.889065i | \(0.348645\pi\) |
−0.998843 | + | 0.0480836i | \(0.984689\pi\) | |||||||
\(230\) | −1560.00 | −0.447232 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −741.000 | + | 1283.45i | −0.208346 | + | 0.360865i | −0.951194 | − | 0.308595i | \(-0.900141\pi\) |
0.742848 | + | 0.669460i | \(0.233475\pi\) | |||||||
\(234\) | 1748.00 | + | 3027.62i | 0.488335 | + | 0.845821i | ||||
\(235\) | −1285.00 | − | 2225.69i | −0.356699 | − | 0.617820i | ||||
\(236\) | −2000.00 | + | 3464.10i | −0.551648 | + | 0.955482i | ||||
\(237\) | 1200.00 | 0.328896 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1400.00 | 0.378906 | 0.189453 | − | 0.981890i | \(-0.439329\pi\) | ||||
0.189453 | + | 0.981890i | \(0.439329\pi\) | |||||||
\(240\) | −320.000 | + | 554.256i | −0.0860663 | + | 0.149071i | ||||
\(241\) | −1511.00 | − | 2617.13i | −0.403867 | − | 0.699519i | 0.590321 | − | 0.807168i | \(-0.299001\pi\) |
−0.994189 | + | 0.107649i | \(0.965668\pi\) | |||||||
\(242\) | −614.000 | − | 1063.48i | −0.163097 | − | 0.282492i | ||||
\(243\) | −1771.00 | + | 3067.46i | −0.467530 | + | 0.809785i | ||||
\(244\) | −4144.00 | −1.08726 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −176.000 | −0.0456152 | ||||||||
\(247\) | 1900.00 | − | 3290.90i | 0.489450 | − | 0.847752i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −282.000 | − | 488.438i | −0.0717712 | − | 0.124311i | ||||
\(250\) | −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 | ||||
\(255\) | 130.000 | + | 225.167i | 0.0319252 | + | 0.0552960i | ||||
\(256\) | −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 | \(0.248933\pi\) | |||||||
\(258\) | −3536.00 | −0.853263 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 1520.00 | 0.362563 | ||||||||
\(261\) | −575.000 | + | 995.929i | −0.136366 | + | 0.236193i | ||||
\(262\) | −4416.00 | − | 7648.74i | −1.04130 | − | 1.80359i | ||||
\(263\) | 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 | ||||||||
\(265\) | −10.0000 | −0.00231809 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −300.000 | −0.0687629 | ||||||||
\(268\) | −504.000 | + | 872.954i | −0.114876 | + | 0.198971i | ||||
\(269\) | 3275.00 | + | 5672.47i | 0.742306 | + | 1.28571i | 0.951443 | + | 0.307825i | \(0.0996012\pi\) |
−0.209137 | + | 0.977886i | \(0.567065\pi\) | |||||||
\(270\) | 1000.00 | + | 1732.05i | 0.225400 | + | 0.390405i | ||||
\(271\) | 2194.00 | − | 3800.12i | 0.491793 | − | 0.851811i | −0.508162 | − | 0.861262i | \(-0.669675\pi\) |
0.999955 | + | 0.00945040i | \(0.00300820\pi\) | |||||||
\(272\) | −1664.00 | −0.370937 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 9336.00 | 2.05842 | ||||||||
\(275\) | −400.000 | + | 692.820i | −0.0877124 | + | 0.151922i | ||||
\(276\) | 624.000 | + | 1080.80i | 0.136088 | + | 0.235712i | ||||
\(277\) | −273.000 | − | 472.850i | −0.0592165 | − | 0.102566i | 0.834897 | − | 0.550406i | \(-0.185527\pi\) |
−0.894114 | + | 0.447840i | \(0.852194\pi\) | |||||||
\(278\) | −1400.00 | + | 2424.87i | −0.302037 | + | 0.523144i | ||||
\(279\) | 2484.00 | 0.533022 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6858.00 | −1.45592 | −0.727961 | − | 0.685619i | \(-0.759532\pi\) | ||||
−0.727961 | + | 0.685619i | \(0.759532\pi\) | |||||||
\(282\) | −2056.00 | + | 3561.10i | −0.434160 | + | 0.751987i | ||||
\(283\) | −4641.00 | − | 8038.45i | −0.974837 | − | 1.68847i | −0.680473 | − | 0.732774i | \(-0.738225\pi\) |
−0.294364 | − | 0.955693i | \(-0.595108\pi\) | |||||||
\(284\) | −1648.00 | − | 2854.42i | −0.344334 | − | 0.596404i | ||||
\(285\) | 500.000 | − | 866.025i | 0.103921 | − | 0.179996i | ||||
\(286\) | 4864.00 | 1.00564 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | −5888.00 | −1.20470 | ||||||||
\(289\) | 2118.50 | − | 3669.35i | 0.431203 | − | 0.746865i | ||||
\(290\) | 500.000 | + | 866.025i | 0.101245 | + | 0.175361i | ||||
\(291\) | −386.000 | − | 668.572i | −0.0777585 | − | 0.134682i | ||||
\(292\) | 3512.00 | − | 6082.96i | 0.703850 | − | 1.21910i | ||||
\(293\) | 4842.00 | 0.965436 | 0.482718 | − | 0.875776i | \(-0.339650\pi\) | ||||
0.482718 | + | 0.875776i | \(0.339650\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −2500.00 | −0.493409 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 1600.00 | + | 2771.28i | 0.312597 | + | 0.541435i | ||||
\(298\) | 4100.00 | + | 7101.41i | 0.797002 | + | 1.38045i | ||||
\(299\) | −1482.00 | + | 2566.90i | −0.286643 | + | 0.496480i | ||||
\(300\) | 400.000 | 0.0769800 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | −7408.00 | −1.41153 | ||||||||
\(303\) | −702.000 | + | 1215.90i | −0.133099 | + | 0.230533i | ||||
\(304\) | 3200.00 | + | 5542.56i | 0.603726 | + | 1.04568i | ||||
\(305\) | −1295.00 | − | 2243.01i | −0.243120 | − | 0.421096i | ||||
\(306\) | −1196.00 | + | 2071.53i | −0.223434 | + | 0.386999i | ||||
\(307\) | −2594.00 | −0.482239 | −0.241120 | − | 0.970495i | \(-0.577515\pi\) | ||||
−0.241120 | + | 0.970495i | \(0.577515\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1196.00 | −0.220188 | ||||||||
\(310\) | 1080.00 | − | 1870.61i | 0.197871 | − | 0.342722i | ||||
\(311\) | −3666.00 | − | 6349.70i | −0.668424 | − | 1.15774i | −0.978345 | − | 0.206982i | \(-0.933636\pi\) |
0.309921 | − | 0.950762i | \(-0.399697\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −781.000 | + | 1352.73i | −0.141037 | + | 0.244284i | −0.927888 | − | 0.372860i | \(-0.878377\pi\) |
0.786850 | + | 0.617144i | \(0.211710\pi\) | |||||||
\(314\) | 9976.00 | 1.79292 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 4800.00 | 0.854497 | ||||||||
\(317\) | −713.000 | + | 1234.95i | −0.126328 | + | 0.218807i | −0.922251 | − | 0.386591i | \(-0.873653\pi\) |
0.795923 | + | 0.605398i | \(0.206986\pi\) | |||||||
\(318\) | 8.00000 | + | 13.8564i | 0.00141075 | + | 0.00244349i | ||||
\(319\) | 800.000 | + | 1385.64i | 0.140412 | + | 0.243201i | ||||
\(320\) | −1280.00 | + | 2217.03i | −0.223607 | + | 0.387298i | ||||
\(321\) | −2388.00 | −0.415219 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2600.00 | 0.447888 | ||||||||
\(324\) | −1684.00 | + | 2916.77i | −0.288752 | + | 0.500133i | ||||
\(325\) | 475.000 | + | 822.724i | 0.0810716 | + | 0.140420i | ||||
\(326\) | 5524.00 | + | 9567.85i | 0.938485 | + | 1.62550i | ||||
\(327\) | 550.000 | − | 952.628i | 0.0930124 | − | 0.161102i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 1280.00 | 0.213520 | ||||||||
\(331\) | 2004.00 | − | 3471.03i | 0.332779 | − | 0.576390i | −0.650277 | − | 0.759697i | \(-0.725347\pi\) |
0.983056 | + | 0.183308i | \(0.0586804\pi\) | |||||||
\(332\) | −1128.00 | − | 1953.75i | −0.186467 | − | 0.322970i | ||||
\(333\) | 3059.00 | + | 5298.34i | 0.503400 | + | 0.871914i | ||||
\(334\) | 6252.00 | − | 10828.8i | 1.02423 | − | 1.77403i | ||||
\(335\) | −630.000 | −0.102748 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8866.00 | 1.43312 | 0.716561 | − | 0.697525i | \(-0.245715\pi\) | ||||
0.716561 | + | 0.697525i | \(0.245715\pi\) | |||||||
\(338\) | −1506.00 | + | 2608.47i | −0.242354 | + | 0.419769i | ||||
\(339\) | −1562.00 | − | 2705.46i | −0.250254 | − | 0.433453i | ||||
\(340\) | 520.000 | + | 900.666i | 0.0829440 | + | 0.143663i | ||||
\(341\) | 1728.00 | − | 2992.98i | 0.274418 | − | 0.475305i | ||||
\(342\) | 9200.00 | 1.45462 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −390.000 | + | 675.500i | −0.0608606 | + | 0.105414i | ||||
\(346\) | −156.000 | − | 270.200i | −0.0242388 | − | 0.0419828i | ||||
\(347\) | 857.000 | + | 1484.37i | 0.132583 | + | 0.229640i | 0.924671 | − | 0.380766i | \(-0.124340\pi\) |
−0.792089 | + | 0.610406i | \(0.791006\pi\) | |||||||
\(348\) | 400.000 | − | 692.820i | 0.0616157 | − | 0.106721i | ||||
\(349\) | 1150.00 | 0.176384 | 0.0881921 | − | 0.996103i | \(-0.471891\pi\) | ||||
0.0881921 | + | 0.996103i | \(0.471891\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 3800.00 | 0.577860 | ||||||||
\(352\) | −4096.00 | + | 7094.48i | −0.620220 | + | 1.07425i | ||||
\(353\) | 2199.00 | + | 3808.78i | 0.331561 | + | 0.574280i | 0.982818 | − | 0.184577i | \(-0.0590915\pi\) |
−0.651257 | + | 0.758857i | \(0.725758\pi\) | |||||||
\(354\) | 2000.00 | + | 3464.10i | 0.300279 | + | 0.520099i | ||||
\(355\) | 1030.00 | − | 1784.01i | 0.153991 | − | 0.266720i | ||||
\(356\) | −1200.00 | −0.178651 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 5200.00 | 0.767677 | ||||||||
\(359\) | −900.000 | + | 1558.85i | −0.132312 | + | 0.229172i | −0.924568 | − | 0.381018i | \(-0.875574\pi\) |
0.792255 | + | 0.610190i | \(0.208907\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −1570.50 | − | 2720.19i | −0.228969 | − | 0.396586i | ||||
\(362\) | 3484.00 | − | 6034.47i | 0.505842 | − | 0.876145i | ||||
\(363\) | −614.000 | −0.0887786 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4390.00 | 0.629543 | ||||||||
\(366\) | −2072.00 | + | 3588.81i | −0.295916 | + | 0.512541i | ||||
\(367\) | 2937.00 | + | 5087.03i | 0.417739 | + | 0.723545i | 0.995712 | − | 0.0925111i | \(-0.0294894\pi\) |
−0.577973 | + | 0.816056i | \(0.696156\pi\) | |||||||
\(368\) | −2496.00 | − | 4323.20i | −0.353568 | − | 0.612398i | ||||
\(369\) | 253.000 | − | 438.209i | 0.0356928 | − | 0.0618218i | ||||
\(370\) | 5320.00 | 0.747496 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −1728.00 | −0.240840 | ||||||||
\(373\) | 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 | ||||
\(375\) | 125.000 | + | 216.506i | 0.0172133 | + | 0.0298142i | ||||
\(376\) | 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 | ||||
\(381\) | −1846.00 | − | 3197.37i | −0.248224 | − | 0.429937i | ||||
\(382\) | 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 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 1432.00 | 0.188826 | ||||||||
\(387\) | 5083.00 | − | 8804.01i | 0.667657 | − | 1.15642i | ||||
\(388\) | −1544.00 | − | 2674.29i | −0.202022 | − | 0.349913i | ||||
\(389\) | 975.000 | + | 1688.75i | 0.127081 | + | 0.220111i | 0.922544 | − | 0.385891i | \(-0.126106\pi\) |
−0.795464 | + | 0.606001i | \(0.792773\pi\) | |||||||
\(390\) | 760.000 | − | 1316.36i | 0.0986772 | − | 0.170914i | ||||
\(391\) | −2028.00 | −0.262303 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −4416.00 | −0.566814 | ||||||||
\(394\) | −4428.00 | + | 7669.52i | −0.566191 | + | 0.980672i | ||||
\(395\) | 1500.00 | + | 2598.08i | 0.191071 | + | 0.330945i | ||||
\(396\) | 2944.00 | + | 5099.16i | 0.373590 | + | 0.647077i | ||||
\(397\) | −6893.00 | + | 11939.0i | −0.871410 | + | 1.50933i | −0.0108715 | + | 0.999941i | \(0.503461\pi\) |
−0.860538 | + | 0.509385i | \(0.829873\pi\) | |||||||
\(398\) | 10400.0 | 1.30981 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1600.00 | −0.200000 | ||||||||
\(401\) | −3201.00 | + | 5544.29i | −0.398629 | + | 0.690446i | −0.993557 | − | 0.113333i | \(-0.963847\pi\) |
0.594928 | + | 0.803779i | \(0.297181\pi\) | |||||||
\(402\) | 504.000 | + | 872.954i | 0.0625304 | + | 0.108306i | ||||
\(403\) | −2052.00 | − | 3554.17i | −0.253641 | − | 0.439319i | ||||
\(404\) | −2808.00 | + | 4863.60i | −0.345800 | + | 0.598943i | ||||
\(405\) | −2105.00 | −0.258267 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 8512.00 | 1.03667 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −5575.00 | − | 9656.18i | −0.674000 | − | 1.16740i | −0.976760 | − | 0.214335i | \(-0.931241\pi\) |
0.302760 | − | 0.953067i | \(-0.402092\pi\) | |||||||
\(410\) | −220.000 | − | 381.051i | −0.0265001 | − | 0.0458995i | ||||
\(411\) | 2334.00 | − | 4042.61i | 0.280116 | − | 0.485175i | ||||
\(412\) | −4784.00 | −0.572065 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | −7176.00 | −0.851887 | ||||||||
\(415\) | 705.000 | − | 1221.10i | 0.0833906 | − | 0.144437i | ||||
\(416\) | 4864.00 | + | 8424.70i | 0.573263 | + | 0.992920i | ||||
\(417\) | 700.000 | + | 1212.44i | 0.0822042 | + | 0.142382i | ||||
\(418\) | 6400.00 | − | 11085.1i | 0.748886 | − | 1.29711i | ||||
\(419\) | −13700.0 | −1.59735 | −0.798674 | − | 0.601764i | \(-0.794465\pi\) | ||||
−0.798674 | + | 0.601764i | \(0.794465\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −5438.00 | −0.629529 | −0.314765 | − | 0.949170i | \(-0.601926\pi\) | ||||
−0.314765 | + | 0.949170i | \(0.601926\pi\) | |||||||
\(422\) | −2336.00 | + | 4046.07i | −0.269466 | + | 0.466729i | ||||
\(423\) | −5911.00 | − | 10238.2i | −0.679439 | − | 1.17682i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −325.000 | + | 562.917i | −0.0370937 | + | 0.0642481i | ||||
\(426\) | −3296.00 | −0.374863 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −9552.00 | −1.07877 | ||||||||
\(429\) | 1216.00 | − | 2106.17i | 0.136851 | − | 0.237033i | ||||
\(430\) | −4420.00 | − | 7655.66i | −0.495701 | − | 0.858579i | ||||
\(431\) | −3846.00 | − | 6661.47i | −0.429827 | − | 0.744482i | 0.567031 | − | 0.823697i | \(-0.308092\pi\) |
−0.996858 | + | 0.0792149i | \(0.974759\pi\) | |||||||
\(432\) | −3200.00 | + | 5542.56i | −0.356389 | + | 0.617284i | ||||
\(433\) | −1118.00 | −0.124082 | −0.0620412 | − | 0.998074i | \(-0.519761\pi\) | ||||
−0.0620412 | + | 0.998074i | \(0.519761\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 500.000 | 0.0551107 | ||||||||
\(436\) | 2200.00 | − | 3810.51i | 0.241653 | − | 0.418556i | ||||
\(437\) | 3900.00 | + | 6755.00i | 0.426916 | + | 0.739440i | ||||
\(438\) | −3512.00 | − | 6082.96i | −0.383128 | − | 0.663596i | ||||
\(439\) | 1300.00 | − | 2251.67i | 0.141334 | − | 0.244798i | −0.786665 | − | 0.617380i | \(-0.788194\pi\) |
0.927999 | + | 0.372582i | \(0.121528\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 3952.00 | 0.425288 | ||||||||
\(443\) | 5979.00 | − | 10355.9i | 0.641243 | − | 1.11067i | −0.343912 | − | 0.939002i | \(-0.611752\pi\) |
0.985155 | − | 0.171664i | \(-0.0549145\pi\) | |||||||
\(444\) | −2128.00 | − | 3685.80i | −0.227456 | − | 0.393965i | ||||
\(445\) | −375.000 | − | 649.519i | −0.0399477 | − | 0.0691914i | ||||
\(446\) | −12956.0 | + | 22440.5i | −1.37553 | + | 2.38248i | ||||
\(447\) | 4100.00 | 0.433833 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −17050.0 | −1.79207 | −0.896035 | − | 0.443984i | \(-0.853565\pi\) | ||||
−0.896035 | + | 0.443984i | \(0.853565\pi\) | |||||||
\(450\) | −1150.00 | + | 1991.86i | −0.120470 | + | 0.208660i | ||||
\(451\) | −352.000 | − | 609.682i | −0.0367517 | − | 0.0636559i | ||||
\(452\) | −6248.00 | − | 10821.9i | −0.650180 | − | 1.12614i | ||||
\(453\) | −1852.00 | + | 3207.76i | −0.192085 | + | 0.332701i | ||||
\(454\) | −2584.00 | −0.267121 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 4747.00 | − | 8222.05i | 0.485898 | − | 0.841600i | −0.513971 | − | 0.857808i | \(-0.671826\pi\) |
0.999869 | + | 0.0162080i | \(0.00515939\pi\) | |||||||
\(458\) | 7500.00 | + | 12990.4i | 0.765179 | + | 1.32533i | ||||
\(459\) | 1300.00 | + | 2251.67i | 0.132198 | + | 0.228973i | ||||
\(460\) | −1560.00 | + | 2702.00i | −0.158120 | + | 0.273873i | ||||
\(461\) | −11418.0 | −1.15356 | −0.576778 | − | 0.816901i | \(-0.695690\pi\) | ||||
−0.576778 | + | 0.816901i | \(0.695690\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 7962.00 | 0.799191 | 0.399596 | − | 0.916692i | \(-0.369151\pi\) | ||||
0.399596 | + | 0.916692i | \(0.369151\pi\) | |||||||
\(464\) | −1600.00 | + | 2771.28i | −0.160082 | + | 0.277270i | ||||
\(465\) | −540.000 | − | 935.307i | −0.0538535 | − | 0.0932771i | ||||
\(466\) | 2964.00 | + | 5133.80i | 0.294645 | + | 0.510340i | ||||
\(467\) | −3263.00 | + | 5651.68i | −0.323327 | + | 0.560019i | −0.981172 | − | 0.193134i | \(-0.938135\pi\) |
0.657845 | + | 0.753153i | \(0.271468\pi\) | |||||||
\(468\) | 6992.00 | 0.690610 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −10280.0 | −1.00890 | ||||||||
\(471\) | 2494.00 | − | 4319.73i | 0.243986 | − | 0.422596i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −7072.00 | − | 12249.1i | −0.687465 | − | 1.19072i | ||||
\(474\) | 2400.00 | − | 4156.92i | 0.232565 | − | 0.402814i | ||||
\(475\) | 2500.00 | 0.241490 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −46.0000 | −0.00441550 | ||||||||
\(478\) | 2800.00 | − | 4849.74i | 0.267927 | − | 0.464063i | ||||
\(479\) | −8700.00 | − | 15068.8i | −0.829881 | − | 1.43740i | −0.898131 | − | 0.439728i | \(-0.855075\pi\) |
0.0682495 | − | 0.997668i | \(-0.478259\pi\) | |||||||
\(480\) | 1280.00 | + | 2217.03i | 0.121716 | + | 0.210819i | ||||
\(481\) | 5054.00 | − | 8753.78i | 0.479091 | − | 0.829809i | ||||
\(482\) | −12088.0 | −1.14231 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2456.00 | −0.230654 | ||||||||
\(485\) | 965.000 | − | 1671.43i | 0.0903472 | − | 0.156486i | ||||
\(486\) | 7084.00 | + | 12269.8i | 0.661187 | + | 1.14521i | ||||
\(487\) | −583.000 | − | 1009.79i | −0.0542469 | − | 0.0939584i | 0.837627 | − | 0.546243i | \(-0.183942\pi\) |
−0.891874 | + | 0.452285i | \(0.850609\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 5524.00 | 0.510846 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 7072.00 | 0.650010 | 0.325005 | − | 0.945712i | \(-0.394634\pi\) | ||||
0.325005 | + | 0.945712i | \(0.394634\pi\) | |||||||
\(492\) | −176.000 | + | 304.841i | −0.0161274 | + | 0.0279335i | ||||
\(493\) | 650.000 | + | 1125.83i | 0.0593804 | + | 0.102850i | ||||
\(494\) | −7600.00 | − | 13163.6i | −0.692187 | − | 1.19890i | ||||
\(495\) | −1840.00 | + | 3186.97i | −0.167074 | + | 0.289381i | ||||
\(496\) | 6912.00 | 0.625722 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | −2256.00 | −0.203000 | ||||||||
\(499\) | −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 | ||||
\(501\) | −3126.00 | − | 5414.39i | −0.278761 | − | 0.482829i | ||||
\(502\) | −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 | ||||
\(507\) | 753.000 | + | 1304.23i | 0.0659604 | + | 0.114247i | ||||
\(508\) | −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 | \(0.328021\pi\) | |||||||
\(510\) | 1040.00 | 0.0902980 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | −16384.0 | −1.41421 | ||||||||
\(513\) | 5000.00 | − | 8660.25i | 0.430322 | − | 0.745340i | ||||
\(514\) | 4212.00 | + | 7295.40i | 0.361446 | + | 0.626043i | ||||
\(515\) | −1495.00 | − | 2589.42i | −0.127918 | − | 0.221560i | ||||
\(516\) | −3536.00 | + | 6124.53i | −0.301674 | + | 0.522514i | ||||
\(517\) | −16448.0 | −1.39919 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −156.000 | −0.0131939 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1819.00 | + | 3150.60i | 0.152959 | + | 0.264933i | 0.932314 | − | 0.361650i | \(-0.117786\pi\) |
−0.779355 | + | 0.626583i | \(0.784453\pi\) | |||||||
\(522\) | 2300.00 | + | 3983.72i | 0.192851 | + | 0.334028i | ||||
\(523\) | 1039.00 | − | 1799.60i | 0.0868686 | − | 0.150461i | −0.819317 | − | 0.573340i | \(-0.805647\pi\) |
0.906186 | + | 0.422879i | \(0.138981\pi\) | |||||||
\(524\) | −17664.0 | −1.47262 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 14552.0 | 1.20627 | ||||||||
\(527\) | 1404.00 | − | 2431.80i | 0.116052 | − | 0.201007i | ||||
\(528\) | 2048.00 | + | 3547.24i | 0.168803 | + | 0.292375i | ||||
\(529\) | 3041.50 | + | 5268.03i | 0.249979 | + | 0.432977i | ||||
\(530\) | −20.0000 | + | 34.6410i | −0.00163914 | + | 0.00283907i | ||||
\(531\) | −11500.0 | −0.939845 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −836.000 | −0.0679384 | ||||||||
\(534\) | −600.000 | + | 1039.23i | −0.0486227 | + | 0.0842170i | ||||
\(535\) | −2985.00 | − | 5170.17i | −0.241220 | − | 0.417806i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 1300.00 | − | 2251.67i | 0.104468 | − | 0.180943i | ||||
\(538\) | 26200.0 | 2.09956 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 4000.00 | 0.318764 | ||||||||
\(541\) | −2811.00 | + | 4868.79i | −0.223391 | + | 0.386924i | −0.955835 | − | 0.293903i | \(-0.905046\pi\) |
0.732445 | + | 0.680826i | \(0.238379\pi\) | |||||||
\(542\) | −8776.00 | − | 15200.5i | −0.695501 | − | 1.20464i | ||||
\(543\) | −1742.00 | − | 3017.23i | −0.137673 | − | 0.238456i | ||||
\(544\) | −3328.00 | + | 5764.27i | −0.262292 | + | 0.454303i | ||||
\(545\) | 2750.00 | 0.216141 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 16486.0 | 1.28865 | 0.644324 | − | 0.764753i | \(-0.277139\pi\) | ||||
0.644324 | + | 0.764753i | \(0.277139\pi\) | |||||||
\(548\) | 9336.00 | − | 16170.4i | 0.727763 | − | 1.26052i | ||||
\(549\) | −5957.00 | − | 10317.8i | −0.463094 | − | 0.802102i | ||||
\(550\) | 1600.00 | + | 2771.28i | 0.124044 | + | 0.214851i | ||||
\(551\) | 2500.00 | − | 4330.13i | 0.193291 | − | 0.334791i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −2184.00 | −0.167490 | ||||||||
\(555\) | 1330.00 | − | 2303.63i | 0.101721 | − | 0.176187i | ||||
\(556\) | 2800.00 | + | 4849.74i | 0.213573 | + | 0.369919i | ||||
\(557\) | −5853.00 | − | 10137.7i | −0.445242 | − | 0.771181i | 0.552827 | − | 0.833296i | \(-0.313549\pi\) |
−0.998069 | + | 0.0621147i | \(0.980216\pi\) | |||||||
\(558\) | 4968.00 | − | 8604.83i | 0.376904 | − | 0.652816i | ||||
\(559\) | −16796.0 | −1.27083 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 1664.00 | 0.125230 | ||||||||
\(562\) | −13716.0 | + | 23756.8i | −1.02949 | + | 1.78313i | ||||
\(563\) | 12519.0 | + | 21683.5i | 0.937146 | + | 1.62318i | 0.770763 | + | 0.637123i | \(0.219875\pi\) |
0.166383 | + | 0.986061i | \(0.446791\pi\) | |||||||
\(564\) | 4112.00 | + | 7122.19i | 0.306997 | + | 0.531735i | ||||
\(565\) | 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 | 0.337434 | + | 0.941349i | \(0.390441\pi\) |
−0.983949 | + | 0.178448i | \(0.942892\pi\) | |||||||
\(570\) | −2000.00 | − | 3464.10i | −0.146966 | − | 0.254553i | ||||
\(571\) | −5356.00 | − | 9276.86i | −0.392542 | − | 0.679903i | 0.600242 | − | 0.799819i | \(-0.295071\pi\) |
−0.992784 | + | 0.119915i | \(0.961738\pi\) | |||||||
\(572\) | 4864.00 | − | 8424.70i | 0.355549 | − | 0.615829i | ||||
\(573\) | 7544.00 | 0.550009 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −1950.00 | −0.141427 | ||||||||
\(576\) | −5888.00 | + | 10198.3i | −0.425926 | + | 0.737725i | ||||
\(577\) | 6827.00 | + | 11824.7i | 0.492568 | + | 0.853153i | 0.999963 | − | 0.00856059i | \(-0.00272495\pi\) |
−0.507395 | + | 0.861713i | \(0.669392\pi\) | |||||||
\(578\) | −8474.00 | − | 14677.4i | −0.609813 | − | 1.05623i | ||||
\(579\) | 358.000 | − | 620.074i | 0.0256960 | − | 0.0445067i | ||||
\(580\) | 2000.00 | 0.143182 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −3088.00 | −0.219934 | ||||||||
\(583\) | −32.0000 | + | 55.4256i | −0.00227325 | + | 0.00393738i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 2185.00 | + | 3784.53i | 0.154425 | + | 0.267472i | ||||
\(586\) | 9684.00 | − | 16773.2i | 0.682666 | − | 1.18241i | ||||
\(587\) | 14166.0 | 0.996071 | 0.498035 | − | 0.867157i | \(-0.334055\pi\) | ||||
0.498035 | + | 0.867157i | \(0.334055\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −10800.0 | −0.755528 | ||||||||
\(590\) | −5000.00 | + | 8660.25i | −0.348893 | + | 0.604300i | ||||
\(591\) | 2214.00 | + | 3834.76i | 0.154098 | + | 0.266905i | ||||
\(592\) | 8512.00 | + | 14743.2i | 0.590948 | + | 1.02355i | ||||
\(593\) | −8921.00 | + | 15451.6i | −0.617777 | + | 1.07002i | 0.372114 | + | 0.928187i | \(0.378633\pi\) |
−0.989891 | + | 0.141833i | \(0.954700\pi\) | |||||||
\(594\) | 12800.0 | 0.884159 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 16400.0 | 1.12713 | ||||||||
\(597\) | 2600.00 | − | 4503.33i | 0.178243 | − | 0.308725i | ||||
\(598\) | 5928.00 | + | 10267.6i | 0.405374 | + | 0.702129i | ||||
\(599\) | 8800.00 | + | 15242.0i | 0.600264 | + | 1.03969i | 0.992781 | + | 0.119943i | \(0.0382712\pi\) |
−0.392517 | + | 0.919745i | \(0.628395\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 27302.0 | 1.85303 | 0.926516 | − | 0.376256i | \(-0.122789\pi\) | ||||
0.926516 | + | 0.376256i | \(0.122789\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −2898.00 | −0.195714 | ||||||||
\(604\) | −7408.00 | + | 12831.0i | −0.499052 | + | 0.864383i | ||||
\(605\) | −767.500 | − | 1329.35i | −0.0515757 | − | 0.0893318i | ||||
\(606\) | 2808.00 | + | 4863.60i | 0.188230 | + | 0.326023i | ||||
\(607\) | 1897.00 | − | 3285.70i | 0.126848 | − | 0.219708i | −0.795606 | − | 0.605815i | \(-0.792847\pi\) |
0.922454 | + | 0.386107i | \(0.126181\pi\) | |||||||
\(608\) | 25600.0 | 1.70759 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10360.0 | −0.687646 | ||||||||
\(611\) | −9766.00 | + | 16915.2i | −0.646629 | + | 1.11999i | ||||
\(612\) | 2392.00 | + | 4143.07i | 0.157992 | + | 0.273650i | ||||
\(613\) | 6619.00 | + | 11464.4i | 0.436116 | + | 0.755374i | 0.997386 | − | 0.0722581i | \(-0.0230205\pi\) |
−0.561270 | + | 0.827633i | \(0.689687\pi\) | |||||||
\(614\) | −5188.00 | + | 8985.88i | −0.340995 | + | 0.590620i | ||||
\(615\) | −220.000 | −0.0144248 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −11574.0 | −0.755189 | −0.377595 | − | 0.925971i | \(-0.623249\pi\) | ||||
−0.377595 | + | 0.925971i | \(0.623249\pi\) | |||||||
\(618\) | −2392.00 | + | 4143.07i | −0.155696 | + | 0.269674i | ||||
\(619\) | −4150.00 | − | 7188.01i | −0.269471 | − | 0.466738i | 0.699254 | − | 0.714873i | \(-0.253516\pi\) |
−0.968725 | + | 0.248135i | \(0.920182\pi\) | |||||||
\(620\) | −2160.00 | − | 3741.23i | −0.139916 | − | 0.242341i | ||||
\(621\) | −3900.00 | + | 6755.00i | −0.252015 | + | 0.436504i | ||||
\(622\) | −29328.0 | −1.89059 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 4864.00 | 0.312045 | ||||||||
\(625\) | −312.500 | + | 541.266i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 3124.00 | + | 5410.93i | 0.199457 | + | 0.345470i | ||||
\(627\) | −3200.00 | − | 5542.56i | −0.203821 | − | 0.353028i | ||||
\(628\) | 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 | ||||||||
\(633\) | 1168.00 | + | 2023.04i | 0.0733394 | + | 0.127028i | ||||
\(634\) | 2852.00 | + | 4939.81i | 0.178655 | + | 0.309440i | ||||
\(635\) | 4615.00 | − | 7993.41i | 0.288411 | − | 0.499542i | ||||
\(636\) | 32.0000 | 0.00199510 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 6400.00 | 0.397145 | ||||||||
\(639\) | 4738.00 | − | 8206.46i | 0.293321 | − | 0.508048i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 13689.0 | + | 23710.0i | 0.843499 | + | 1.46098i | 0.886918 | + | 0.461927i | \(0.152842\pi\) |
−0.0434190 | + | 0.999057i | \(0.513825\pi\) | |||||||
\(642\) | −4776.00 | + | 8272.27i | −0.293604 | + | 0.508537i | ||||
\(643\) | 1842.00 | 0.112973 | 0.0564863 | − | 0.998403i | \(-0.482010\pi\) | ||||
0.0564863 | + | 0.998403i | \(0.482010\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −4420.00 | −0.269825 | ||||||||
\(646\) | 5200.00 | − | 9006.66i | 0.316705 | − | 0.548549i | ||||
\(647\) | 5057.00 | + | 8758.98i | 0.307282 | + | 0.532227i | 0.977767 | − | 0.209696i | \(-0.0672473\pi\) |
−0.670485 | + | 0.741923i | \(0.733914\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −8000.00 | + | 13856.4i | −0.483864 | + | 0.838076i | ||||
\(650\) | 3800.00 | 0.229305 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 22096.0 | 1.32722 | ||||||||
\(653\) | −5201.00 | + | 9008.40i | −0.311686 | + | 0.539856i | −0.978727 | − | 0.205165i | \(-0.934227\pi\) |
0.667042 | + | 0.745020i | \(0.267560\pi\) | |||||||
\(654\) | −2200.00 | − | 3810.51i | −0.131539 | − | 0.227833i | ||||
\(655\) | −5520.00 | − | 9560.92i | −0.329289 | − | 0.570345i | ||||
\(656\) | 704.000 | − | 1219.36i | 0.0419003 | − | 0.0725734i | ||||
\(657\) | 20194.0 | 1.19915 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7100.00 | 0.419692 | 0.209846 | − | 0.977734i | \(-0.432704\pi\) | ||||
0.209846 | + | 0.977734i | \(0.432704\pi\) | |||||||
\(660\) | 1280.00 | − | 2217.03i | 0.0754908 | − | 0.130754i | ||||
\(661\) | 3559.00 | + | 6164.37i | 0.209424 | + | 0.362732i | 0.951533 | − | 0.307546i | \(-0.0995079\pi\) |
−0.742109 | + | 0.670279i | \(0.766175\pi\) | |||||||
\(662\) | −8016.00 | − | 13884.1i | −0.470620 | − | 0.815138i | ||||
\(663\) | 988.000 | − | 1711.27i | 0.0578744 | − | 0.100241i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 24472.0 | 1.42383 | ||||||||
\(667\) | −1950.00 | + | 3377.50i | −0.113200 | + | 0.196068i | ||||
\(668\) | −12504.0 | − | 21657.6i | −0.724243 | − | 1.25443i | ||||
\(669\) | 6478.00 | + | 11220.2i | 0.374371 | + | 0.648429i | ||||
\(670\) | −1260.00 | + | 2182.38i | −0.0726538 | + | 0.125840i | ||||
\(671\) | −16576.0 | −0.953665 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −31278.0 | −1.79150 | −0.895749 | − | 0.444560i | \(-0.853360\pi\) | ||||
−0.895749 | + | 0.444560i | \(0.853360\pi\) | |||||||
\(674\) | 17732.0 | − | 30712.7i | 1.01337 | − | 1.75521i | ||||
\(675\) | 1250.00 | + | 2165.06i | 0.0712778 | + | 0.123457i | ||||
\(676\) | 3012.00 | + | 5216.94i | 0.171370 | + | 0.296822i | ||||
\(677\) | 15027.0 | − | 26027.5i | 0.853079 | − | 1.47758i | −0.0253367 | − | 0.999679i | \(-0.508066\pi\) |
0.878416 | − | 0.477897i | \(-0.158601\pi\) | |||||||
\(678\) | −12496.0 | −0.707826 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −646.000 | + | 1118.90i | −0.0363506 | + | 0.0629611i | ||||
\(682\) | −6912.00 | − | 11971.9i | −0.388085 | − | 0.672183i | ||||
\(683\) | 2259.00 | + | 3912.70i | 0.126557 | + | 0.219203i | 0.922340 | − | 0.386378i | \(-0.126274\pi\) |
−0.795784 | + | 0.605581i | \(0.792941\pi\) | |||||||
\(684\) | 9200.00 | − | 15934.9i | 0.514285 | − | 0.890767i | ||||
\(685\) | 11670.0 | 0.650931 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 7500.00 | 0.416511 | ||||||||
\(688\) | 14144.0 | − | 24498.1i | 0.783772 | − | 1.35753i | ||||
\(689\) | 38.0000 | + | 65.8179i | 0.00210114 | + | 0.00363928i | ||||
\(690\) | 1560.00 | + | 2702.00i | 0.0860698 | + | 0.149077i | ||||
\(691\) | −14636.0 | + | 25350.3i | −0.805759 | + | 1.39562i | 0.110018 | + | 0.993930i | \(0.464909\pi\) |
−0.915777 | + | 0.401686i | \(0.868424\pi\) | |||||||
\(692\) | −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 | ||||
\(699\) | 2964.00 | 0.160385 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −5798.00 | −0.312393 | −0.156196 | − | 0.987726i | \(-0.549923\pi\) | ||||
−0.156196 | + | 0.987726i | \(0.549923\pi\) | |||||||
\(702\) | 7600.00 | − | 13163.6i | 0.408609 | − | 0.707732i | ||||
\(703\) | −13300.0 | − | 23036.3i | −0.713541 | − | 1.23589i | ||||
\(704\) | 8192.00 | + | 14189.0i | 0.438562 | + | 0.759612i | ||||
\(705\) | −2570.00 | + | 4451.37i | −0.137293 | + | 0.237799i | ||||
\(706\) | 17592.0 | 0.937796 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 8000.00 | 0.424659 | ||||||||
\(709\) | −4475.00 | + | 7750.93i | −0.237041 | + | 0.410567i | −0.959864 | − | 0.280466i | \(-0.909511\pi\) |
0.722823 | + | 0.691033i | \(0.242844\pi\) | |||||||
\(710\) | −4120.00 | − | 7136.05i | −0.217776 | − | 0.377199i | ||||
\(711\) | 6900.00 | + | 11951.2i | 0.363952 | + | 0.630384i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 8424.00 | 0.442470 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 6080.00 | 0.318013 | ||||||||
\(716\) | 5200.00 | − | 9006.66i | 0.271415 | − | 0.470105i | ||||
\(717\) | −1400.00 | − | 2424.87i | −0.0729204 | − | 0.126302i | ||||
\(718\) | 3600.00 | + | 6235.38i | 0.187118 | + | 0.324098i | ||||
\(719\) | −3900.00 | + | 6755.00i | −0.202289 | + | 0.350374i | −0.949265 | − | 0.314476i | \(-0.898171\pi\) |
0.746977 | + | 0.664850i | \(0.231505\pi\) | |||||||
\(720\) | −7360.00 | −0.380960 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | −12564.0 | −0.647623 | ||||||||
\(723\) | −3022.00 | + | 5234.26i | −0.155449 | + | 0.269245i | ||||
\(724\) | −6968.00 | − | 12068.9i | −0.357685 | − | 0.619528i | ||||
\(725\) | 625.000 | + | 1082.53i | 0.0320164 | + | 0.0554541i | ||||
\(726\) | −1228.00 | + | 2126.96i | −0.0627760 | + | 0.108731i | ||||
\(727\) | −8554.00 | −0.436383 | −0.218191 | − | 0.975906i | \(-0.570016\pi\) | ||||
−0.218191 | + | 0.975906i | \(0.570016\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −4283.00 | −0.217599 | ||||||||
\(730\) | 8780.00 | − | 15207.4i | 0.445154 | − | 0.771029i | ||||
\(731\) | −5746.00 | − | 9952.36i | −0.290730 | − | 0.503559i | ||||
\(732\) | 4144.00 | + | 7177.62i | 0.209244 | + | 0.362421i | ||||
\(733\) | −1441.00 | + | 2495.89i | −0.0726119 | + | 0.125768i | −0.900045 | − | 0.435796i | \(-0.856467\pi\) |
0.827433 | + | 0.561564i | \(0.189800\pi\) | |||||||
\(734\) | 23496.0 | 1.18154 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −19968.0 | −1.00004 | ||||||||
\(737\) | −2016.00 | + | 3491.81i | −0.100760 | + | 0.174522i | ||||
\(738\) | −1012.00 | − | 1752.84i | −0.0504773 | − | 0.0874292i | ||||
\(739\) | −9350.00 | − | 16194.7i | −0.465420 | − | 0.806131i | 0.533800 | − | 0.845610i | \(-0.320763\pi\) |
−0.999220 | + | 0.0394795i | \(0.987430\pi\) | |||||||
\(740\) | 5320.00 | − | 9214.51i | 0.264280 | − | 0.457746i | ||||
\(741\) | −7600.00 | −0.376779 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 12242.0 | 0.604462 | 0.302231 | − | 0.953235i | \(-0.402269\pi\) | ||||
0.302231 | + | 0.953235i | \(0.402269\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5125.00 | + | 8876.76i | 0.252034 | + | 0.436536i | ||||
\(746\) | −4156.00 | − | 7198.40i | −0.203970 | − | 0.353287i | ||||
\(747\) | 3243.00 | − | 5617.04i | 0.158842 | − | 0.275123i | ||||
\(748\) | 6656.00 | 0.325358 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 1000.00 | 0.0486864 | ||||||||
\(751\) | 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 | ||||
\(753\) | 1248.00 | + | 2161.60i | 0.0603979 | + | 0.104612i | ||||
\(754\) | 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 | ||||
\(759\) | 2496.00 | + | 4323.20i | 0.119366 | + | 0.206749i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 2259.00 | − | 3912.70i | 0.107607 | − | 0.186380i | −0.807194 | − | 0.590287i | \(-0.799015\pi\) |
0.914800 | + | 0.403907i | \(0.132348\pi\) | |||||||
\(762\) | −14768.0 | −0.702084 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 30176.0 | 1.42897 | ||||||||
\(765\) | −1495.00 | + | 2589.42i | −0.0706560 | + | 0.122380i | ||||
\(766\) | −15036.0 | − | 26043.1i | −0.709233 | − | 1.22843i | ||||
\(767\) | 9500.00 | + | 16454.5i | 0.447230 | + | 0.774624i | ||||
\(768\) | −4096.00 | + | 7094.48i | −0.192450 | + | 0.333333i | ||||
\(769\) | −39550.0 | −1.85463 | −0.927314 | − | 0.374283i | \(-0.877889\pi\) | ||||
−0.927314 | + | 0.374283i | \(0.877889\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 4212.00 | 0.196746 | ||||||||
\(772\) | 1432.00 | − | 2480.30i | 0.0667601 | − | 0.115632i | ||||
\(773\) | −11061.0 | − | 19158.2i | −0.514666 | − | 0.891427i | −0.999855 | − | 0.0170180i | \(-0.994583\pi\) |
0.485190 | − | 0.874409i | \(-0.338751\pi\) | |||||||
\(774\) | −20332.0 | − | 35216.1i | −0.944210 | − | 1.63542i | ||||
\(775\) | 1350.00 | − | 2338.27i | 0.0625722 | − | 0.108378i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 7800.00 | 0.359439 | ||||||||
\(779\) | −1100.00 | + | 1905.26i | −0.0505925 | + | 0.0876289i | ||||
\(780\) | −1520.00 | − | 2632.72i | −0.0697753 | − | 0.120854i | ||||
\(781\) | −6592.00 | − | 11417.7i | −0.302023 | − | 0.523120i | ||||
\(782\) | −4056.00 | + | 7025.20i | −0.185476 | + | 0.321254i | ||||
\(783\) | 5000.00 | 0.228206 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 12470.0 | 0.566972 | ||||||||
\(786\) | −8832.00 | + | 15297.5i | −0.400798 | + | 0.694202i | ||||
\(787\) | 8317.00 | + | 14405.5i | 0.376708 | + | 0.652477i | 0.990581 | − | 0.136928i | \(-0.0437228\pi\) |
−0.613873 | + | 0.789405i | \(0.710389\pi\) | |||||||
\(788\) | 8856.00 | + | 15339.0i | 0.400358 | + | 0.693440i | ||||
\(789\) | 3638.00 | − | 6301.20i | 0.164152 | − | 0.284320i | ||||
\(790\) | 12000.0 | 0.540431 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −9842.00 | + | 17046.8i | −0.440731 | + | 0.763368i | ||||
\(794\) | 27572.0 | + | 47756.1i | 1.23236 | + | 2.13451i | ||||
\(795\) | 10.0000 | + | 17.3205i | 0.000446118 | + | 0.000772698i | ||||
\(796\) | 10400.0 | − | 18013.3i | 0.463088 | − | 0.802092i | ||||
\(797\) | 27586.0 | 1.22603 | 0.613015 | − | 0.790071i | \(-0.289956\pi\) | ||||
0.613015 | + | 0.790071i | \(0.289956\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13364.0 | −0.591720 | ||||||||
\(800\) | −3200.00 | + | 5542.56i | −0.141421 | + | 0.244949i | ||||
\(801\) | −1725.00 | − | 2987.79i | −0.0760922 | − | 0.131796i | ||||
\(802\) | 12804.0 | + | 22177.2i | 0.563747 | + | 0.976438i | ||||
\(803\) | 14048.0 | − | 24331.8i | 0.617364 | − | 1.06931i | ||||
\(804\) | 2016.00 | 0.0884314 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −16416.0 | −0.717406 | ||||||||
\(807\) | 6550.00 | − | 11344.9i | 0.285714 | − | 0.494871i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −1925.00 | − | 3334.20i | −0.0836581 | − | 0.144900i | 0.821161 | − | 0.570697i | \(-0.193327\pi\) |
−0.904819 | + | 0.425797i | \(0.859994\pi\) | |||||||
\(810\) | −4210.00 | + | 7291.93i | −0.182623 | + | 0.316312i | ||||
\(811\) | 10032.0 | 0.434366 | 0.217183 | − | 0.976131i | \(-0.430313\pi\) | ||||
0.217183 | + | 0.976131i | \(0.430313\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −8776.00 | −0.378583 | ||||||||
\(814\) | 17024.0 | − | 29486.4i | 0.733035 | − | 1.26965i | ||||
\(815\) | 6905.00 | + | 11959.8i | 0.296775 | + | 0.514029i | ||||
\(816\) | 1664.00 | + | 2882.13i | 0.0713868 | + | 0.123646i | ||||
\(817\) | −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 | −0.997460 | − | 0.0712339i | \(-0.977306\pi\) |
0.560420 | + | 0.828208i | \(0.310640\pi\) | |||||||
\(822\) | −9336.00 | − | 16170.4i | −0.396144 | − | 0.686142i | ||||
\(823\) | −5161.00 | − | 8939.11i | −0.218592 | − | 0.378612i | 0.735786 | − | 0.677214i | \(-0.236813\pi\) |
−0.954378 | + | 0.298602i | \(0.903480\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 1600.00 | 0.0675210 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 8846.00 | 0.371954 | 0.185977 | − | 0.982554i | \(-0.440455\pi\) | ||||
0.185977 | + | 0.982554i | \(0.440455\pi\) | |||||||
\(828\) | −7176.00 | + | 12429.2i | −0.301187 | + | 0.521672i | ||||
\(829\) | 12675.0 | + | 21953.7i | 0.531026 | + | 0.919765i | 0.999344 | + | 0.0362048i | \(0.0115269\pi\) |
−0.468318 | + | 0.883560i | \(0.655140\pi\) | |||||||
\(830\) | −2820.00 | − | 4884.38i | −0.117932 | − | 0.204264i | ||||
\(831\) | −546.000 | + | 945.700i | −0.0227925 | + | 0.0394777i | ||||
\(832\) | 19456.0 | 0.810716 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 5600.00 | 0.232509 | ||||||||
\(835\) | 7815.00 | − | 13536.0i | 0.323891 | − | 0.560996i | ||||
\(836\) | −12800.0 | − | 22170.3i | −0.529542 | − | 0.917194i | ||||
\(837\) | −5400.00 | − | 9353.07i | −0.223000 | − | 0.386248i | ||||
\(838\) | −27400.0 | + | 47458.2i | −1.12950 | + | 1.95634i | ||||
\(839\) | 46000.0 | 1.89284 | 0.946422 | − | 0.322932i | \(-0.104669\pi\) | ||||
0.946422 | + | 0.322932i | \(0.104669\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −21889.0 | −0.897495 | ||||||||
\(842\) | −10876.0 | + | 18837.8i | −0.445145 | + | 0.771013i | ||||
\(843\) | 6858.00 | + | 11878.4i | 0.280192 | + | 0.485307i | ||||
\(844\) | 4672.00 | + | 8092.14i | 0.190541 | + | 0.330027i | ||||
\(845\) | −1882.50 | + | 3260.59i | −0.0766390 | + | 0.132743i | ||||
\(846\) | −47288.0 | −1.92174 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | −128.000 | −0.00518342 | ||||||||
\(849\) | −9282.00 | + | 16076.9i | −0.375215 | + | 0.649891i | ||||
\(850\) | 1300.00 | + | 2251.67i | 0.0524584 | + | 0.0908606i | ||||
\(851\) | 10374.0 | + | 17968.3i | 0.417880 | + | 0.723790i | ||||
\(852\) | −3296.00 | + | 5708.84i | −0.132534 | + | 0.229556i | ||||
\(853\) | −16998.0 | −0.682298 | −0.341149 | − | 0.940009i | \(-0.610816\pi\) | ||||
−0.341149 | + | 0.940009i | \(0.610816\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 11500.0 | 0.459990 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 13247.0 | + | 22944.5i | 0.528015 | + | 0.914549i | 0.999467 | + | 0.0326569i | \(0.0103969\pi\) |
−0.471452 | + | 0.881892i | \(0.656270\pi\) | |||||||
\(858\) | −4864.00 | − | 8424.70i | −0.193536 | − | 0.335215i | ||||
\(859\) | 10750.0 | − | 18619.5i | 0.426991 | − | 0.739570i | −0.569613 | − | 0.821913i | \(-0.692907\pi\) |
0.996604 | + | 0.0823429i | \(0.0262403\pi\) | |||||||
\(860\) | −17680.0 | −0.701027 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −30768.0 | −1.21573 | ||||||||
\(863\) | −12881.0 | + | 22310.5i | −0.508082 | + | 0.880023i | 0.491875 | + | 0.870666i | \(0.336312\pi\) |
−0.999956 | + | 0.00935699i | \(0.997022\pi\) | |||||||
\(864\) | 12800.0 | + | 22170.3i | 0.504010 | + | 0.872971i | ||||
\(865\) | −195.000 | − | 337.750i | −0.00766497 | − | 0.0132761i | ||||
\(866\) | −2236.00 | + | 3872.87i | −0.0877395 | + | 0.151969i | ||||
\(867\) | −8474.00 | −0.331940 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 19200.0 | 0.749500 | ||||||||
\(870\) | 1000.00 | − | 1732.05i | 0.0389692 | − | 0.0674966i | ||||
\(871\) | 2394.00 | + | 4146.53i | 0.0931316 | + | 0.161309i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 4439.00 | − | 7688.57i | 0.172093 | − | 0.298074i | ||||
\(874\) | 31200.0 | 1.20750 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −14048.0 | −0.541824 | ||||||||
\(877\) | −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 | ||||
\(879\) | −4842.00 | − | 8386.59i | −0.185798 | − | 0.321812i | ||||
\(880\) | −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 | ||||
\(885\) | 2500.00 | + | 4330.13i | 0.0949566 | + | 0.164470i | ||||
\(886\) | −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 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | −3000.00 | −0.112989 | ||||||||
\(891\) | −6736.00 | + | 11667.1i | −0.253271 | + | 0.438678i | ||||
\(892\) | 25912.0 | + | 44880.9i | 0.972643 | + | 1.68467i | ||||
\(893\) | 25700.0 | + | 44513.7i | 0.963066 | + | 1.66808i | ||||
\(894\) | 8200.00 | − | 14202.8i | 0.306766 | − | 0.531335i | ||||
\(895\) | 6500.00 | 0.242761 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 5928.00 | 0.220658 | ||||||||
\(898\) | −34100.0 | + | 59062.9i | −1.26718 | + | 2.19483i | ||||
\(899\) | −2700.00 | − | 4676.54i | −0.100167 | − | 0.173494i | ||||
\(900\) | 2300.00 | + | 3983.72i | 0.0851852 | + | 0.147545i | ||||
\(901\) | −26.0000 | + | 45.0333i | −0.000961360 | + | 0.00166512i | ||||
\(902\) | −2816.00 | −0.103950 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 4355.00 | − | 7543.08i | 0.159961 | − | 0.277061i | ||||
\(906\) | 7408.00 | + | 12831.0i | 0.271649 | + | 0.470510i | ||||
\(907\) | 897.000 | + | 1553.65i | 0.0328384 | + | 0.0568777i | 0.881978 | − | 0.471291i | \(-0.156212\pi\) |
−0.849139 | + | 0.528169i | \(0.822879\pi\) | |||||||
\(908\) | −2584.00 | + | 4475.62i | −0.0944417 | + | 0.163578i | ||||
\(909\) | −16146.0 | −0.589141 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 41732.0 | 1.51772 | 0.758860 | − | 0.651254i | \(-0.225757\pi\) | ||||
0.758860 | + | 0.651254i | \(0.225757\pi\) | |||||||
\(912\) | 6400.00 | − | 11085.1i | 0.232374 | − | 0.402484i | ||||
\(913\) | −4512.00 | − | 7815.01i | −0.163555 | − | 0.283285i | ||||
\(914\) | −18988.0 | − | 32888.2i | −0.687163 | − | 1.19020i | ||||
\(915\) | −2590.00 | + | 4486.01i | −0.0935768 | + | 0.162080i | ||||
\(916\) | 30000.0 | 1.08213 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 10400.0 | 0.373912 | ||||||||
\(919\) | −14600.0 | + | 25287.9i | −0.524058 | + | 0.907696i | 0.475549 | + | 0.879689i | \(0.342249\pi\) |
−0.999608 | + | 0.0280066i | \(0.991084\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2594.00 | + | 4492.94i | 0.0928070 | + | 0.160746i | ||||
\(922\) | −22836.0 | + | 39553.1i | −0.815687 | + | 1.41281i | ||||
\(923\) | −15656.0 | −0.558314 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 6650.00 | 0.236379 | ||||||||
\(926\) | 15924.0 | − | 27581.2i | 0.565114 | − | 0.978805i | ||||
\(927\) | −6877.00 | − | 11911.3i | −0.243657 | − | 0.422027i | ||||
\(928\) | 6400.00 | + | 11085.1i | 0.226390 | + | 0.392120i | ||||
\(929\) | 24325.0 | − | 42132.1i | 0.859071 | − | 1.48796i | −0.0137443 | − | 0.999906i | \(-0.504375\pi\) |
0.872816 | − | 0.488050i | \(-0.162292\pi\) | |||||||
\(930\) | −4320.00 | −0.152321 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 11856.0 | 0.416691 | ||||||||
\(933\) | −7332.00 | + | 12699.4i | −0.257276 | + | 0.445616i | ||||
\(934\) | 13052.0 | + | 22606.7i | 0.457253 | + | 0.791986i | ||||
\(935\) | 2080.00 | + | 3602.67i | 0.0727522 | + | 0.126010i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −11334.0 | −0.395161 | −0.197580 | − | 0.980287i | \(-0.563308\pi\) | ||||
−0.197580 | + | 0.980287i | \(0.563308\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 3124.00 | 0.108571 | ||||||||
\(940\) | −10280.0 | + | 17805.5i | −0.356699 | + | 0.617820i | ||||
\(941\) | 15589.0 | + | 27000.9i | 0.540050 | + | 0.935394i | 0.998901 | + | 0.0468803i | \(0.0149279\pi\) |
−0.458851 | + | 0.888513i | \(0.651739\pi\) | |||||||
\(942\) | −9976.00 | − | 17278.9i | −0.345048 | − | 0.597641i | ||||
\(943\) | 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 | −0.903421 | − | 0.428754i | \(-0.858953\pi\) |
0.823023 | + | 0.568008i | \(0.192286\pi\) | |||||||
\(948\) | −4800.00 | − | 8313.84i | −0.164448 | − | 0.284832i | ||||
\(949\) | −16682.0 | − | 28894.1i | −0.570622 | − | 0.988347i | ||||
\(950\) | 5000.00 | − | 8660.25i | 0.170759 | − | 0.295764i | ||||
\(951\) | 2852.00 | 0.0972476 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −598.000 | −0.0203265 | −0.0101632 | − | 0.999948i | \(-0.503235\pi\) | ||||
−0.0101632 | + | 0.999948i | \(0.503235\pi\) | |||||||
\(954\) | −92.0000 | + | 159.349i | −0.00312223 | + | 0.00540787i | ||||
\(955\) | 9430.00 | + | 16333.2i | 0.319526 | + | 0.553436i | ||||
\(956\) | −5600.00 | − | 9699.48i | −0.189453 | − | 0.328142i | ||||
\(957\) | 1600.00 | − | 2771.28i | 0.0540446 | − | 0.0936079i | ||||
\(958\) | −69600.0 | −2.34726 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 5120.00 | 0.172133 | ||||||||
\(961\) | 9063.50 | − | 15698.4i | 0.304236 | − | 0.526953i | ||||
\(962\) | −20216.0 | − | 35015.1i | −0.677536 | − | 1.17353i | ||||
\(963\) | −13731.0 | − | 23782.8i | −0.459476 | − | 0.795836i | ||||
\(964\) | −12088.0 | + | 20937.0i | −0.403867 | + | 0.699519i | ||||
\(965\) | 1790.00 | 0.0597121 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 41726.0 | 1.38761 | 0.693804 | − | 0.720163i | \(-0.255933\pi\) | ||||
0.693804 | + | 0.720163i | \(0.255933\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −2600.00 | − | 4503.33i | −0.0861961 | − | 0.149296i | ||||
\(970\) | −3860.00 | − | 6685.72i | −0.127770 | − | 0.221305i | ||||
\(971\) | −12156.0 | + | 21054.8i | −0.401756 | + | 0.695861i | −0.993938 | − | 0.109943i | \(-0.964933\pi\) |
0.592182 | + | 0.805804i | \(0.298267\pi\) | |||||||
\(972\) | 28336.0 | 0.935059 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | −4664.00 | −0.153433 | ||||||||
\(975\) | 950.000 | − | 1645.45i | 0.0312045 | − | 0.0540477i | ||||
\(976\) | −16576.0 | − | 28710.5i | −0.543632 | − | 0.941598i | ||||
\(977\) | −20473.0 | − | 35460.3i | −0.670409 | − | 1.16118i | −0.977788 | − | 0.209595i | \(-0.932785\pi\) |
0.307380 | − | 0.951587i | \(-0.400548\pi\) | |||||||
\(978\) | 11048.0 | − | 19135.7i | 0.361223 | − | 0.625657i | ||||
\(979\) | −4800.00 | −0.156699 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 12650.0 | 0.411706 | ||||||||
\(982\) | 14144.0 | − | 24498.1i | 0.459626 | − | 0.796096i | ||||
\(983\) | −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 | ||||
\(986\) | 5200.00 | 0.167953 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −30400.0 | −0.978900 | ||||||||
\(989\) | 17238.0 | − | 29857.1i | 0.554233 | − | 0.959960i | ||||
\(990\) | 7360.00 | + | 12747.9i | 0.236279 | + | 0.409247i | ||||
\(991\) | −586.000 | − | 1014.98i | −0.0187840 | − | 0.0325348i | 0.856481 | − | 0.516179i | \(-0.172646\pi\) |
−0.875265 | + | 0.483644i | \(0.839313\pi\) | |||||||
\(992\) | 13824.0 | − | 23943.9i | 0.442452 | − | 0.766349i | ||||
\(993\) | −8016.00 | −0.256173 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 13000.0 | 0.414199 | ||||||||
\(996\) | −2256.00 | + | 3907.51i | −0.0717712 | + | 0.124311i | ||||
\(997\) | 15807.0 | + | 27378.5i | 0.502119 | + | 0.869696i | 0.999997 | + | 0.00244862i | \(0.000779421\pi\) |
−0.497878 | + | 0.867247i | \(0.665887\pi\) | |||||||
\(998\) | 200.000 | + | 346.410i | 0.00634358 | + | 0.0109874i | ||||
\(999\) | 13300.0 | − | 23036.3i | 0.421215 | − | 0.729565i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))