Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,3,Mod(5,216)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(216, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 9, 5]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.x (of order \(18\), degree \(6\), 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: | \(5.88557371018\) |
Analytic rank: | \(0\) |
Dimension: | \(420\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 101.64 | ||
Character | \(\chi\) | \(=\) | 216.101 |
Dual form | 216.3.x.a.77.64 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{7}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.84234 | − | 0.778309i | 0.921172 | − | 0.389155i | ||||
\(3\) | 1.68752 | + | 2.48038i | 0.562507 | + | 0.826793i | ||||
\(4\) | 2.78847 | − | 2.86783i | 0.697117 | − | 0.716957i | ||||
\(5\) | 0.0158330 | + | 0.0897932i | 0.00316659 | + | 0.0179586i | 0.986350 | − | 0.164662i | \(-0.0526532\pi\) |
−0.983184 | + | 0.182620i | \(0.941542\pi\) | |||||||
\(6\) | 5.03950 | + | 3.25630i | 0.839916 | + | 0.542717i | ||||
\(7\) | 4.80570 | + | 4.03246i | 0.686528 | + | 0.576066i | 0.917906 | − | 0.396798i | \(-0.129879\pi\) |
−0.231378 | + | 0.972864i | \(0.574323\pi\) | |||||||
\(8\) | 2.90527 | − | 7.45382i | 0.363158 | − | 0.931727i | ||||
\(9\) | −3.30455 | + | 8.37138i | −0.367172 | + | 0.930153i | ||||
\(10\) | 0.0990567 | + | 0.153107i | 0.00990567 | + | 0.0153107i | ||||
\(11\) | 1.16979 | − | 6.63419i | 0.106344 | − | 0.603108i | −0.884331 | − | 0.466861i | \(-0.845385\pi\) |
0.990675 | − | 0.136247i | \(-0.0435041\pi\) | |||||||
\(12\) | 11.8189 | + | 2.07694i | 0.984908 | + | 0.173079i | ||||
\(13\) | −3.44076 | + | 9.45340i | −0.264674 | + | 0.727184i | 0.734164 | + | 0.678973i | \(0.237574\pi\) |
−0.998837 | + | 0.0482119i | \(0.984648\pi\) | |||||||
\(14\) | 11.9923 | + | 3.68886i | 0.856589 | + | 0.263490i | ||||
\(15\) | −0.196003 | + | 0.190800i | −0.0130668 | + | 0.0127200i | ||||
\(16\) | −0.448872 | − | 15.9937i | −0.0280545 | − | 0.999606i | ||||
\(17\) | 8.06265 | − | 4.65498i | 0.474274 | − | 0.273822i | −0.243753 | − | 0.969837i | \(-0.578379\pi\) |
0.718027 | + | 0.696015i | \(0.245045\pi\) | |||||||
\(18\) | 0.427396 | + | 17.9949i | 0.0237442 | + | 0.999718i | ||||
\(19\) | −16.7972 | − | 9.69785i | −0.884062 | − | 0.510413i | −0.0120664 | − | 0.999927i | \(-0.503841\pi\) |
−0.871996 | + | 0.489514i | \(0.837174\pi\) | |||||||
\(20\) | 0.301661 | + | 0.204980i | 0.0150831 | + | 0.0102490i | ||||
\(21\) | −1.89231 | + | 18.7248i | −0.0901100 | + | 0.891657i | ||||
\(22\) | −3.00830 | − | 13.1329i | −0.136741 | − | 0.596951i | ||||
\(23\) | 0.477626 | + | 0.569213i | 0.0207664 | + | 0.0247484i | 0.776328 | − | 0.630330i | \(-0.217080\pi\) |
−0.755561 | + | 0.655078i | \(0.772636\pi\) | |||||||
\(24\) | 23.3910 | − | 5.37231i | 0.974624 | − | 0.223846i | ||||
\(25\) | 23.4845 | − | 8.54766i | 0.939380 | − | 0.341906i | ||||
\(26\) | 1.01861 | + | 20.0944i | 0.0391772 | + | 0.772861i | ||||
\(27\) | −26.3407 | + | 5.93033i | −0.975581 | + | 0.219642i | ||||
\(28\) | 24.9649 | − | 2.53752i | 0.891605 | − | 0.0906258i | ||||
\(29\) | −5.36461 | + | 1.95256i | −0.184987 | + | 0.0673296i | −0.432853 | − | 0.901465i | \(-0.642493\pi\) |
0.247866 | + | 0.968794i | \(0.420271\pi\) | |||||||
\(30\) | −0.212604 | + | 0.504070i | −0.00708678 | + | 0.0168023i | ||||
\(31\) | −8.84587 | + | 7.42257i | −0.285351 | + | 0.239438i | −0.774216 | − | 0.632922i | \(-0.781855\pi\) |
0.488865 | + | 0.872359i | \(0.337411\pi\) | |||||||
\(32\) | −13.2750 | − | 29.1166i | −0.414844 | − | 0.909892i | ||||
\(33\) | 18.4293 | − | 8.29381i | 0.558465 | − | 0.251328i | ||||
\(34\) | 11.2312 | − | 14.8513i | 0.330329 | − | 0.436803i | ||||
\(35\) | −0.285999 | + | 0.495365i | −0.00817140 | + | 0.0141533i | ||||
\(36\) | 14.7930 | + | 32.8202i | 0.410917 | + | 0.911673i | ||||
\(37\) | −45.0507 | + | 26.0100i | −1.21759 | + | 0.702973i | −0.964401 | − | 0.264445i | \(-0.914811\pi\) |
−0.253184 | + | 0.967418i | \(0.581478\pi\) | |||||||
\(38\) | −38.4941 | − | 4.79340i | −1.01300 | − | 0.126142i | ||||
\(39\) | −29.2543 | + | 7.41843i | −0.750111 | + | 0.190216i | ||||
\(40\) | 0.715302 | + | 0.142857i | 0.0178825 | + | 0.00357143i | ||||
\(41\) | 16.1245 | − | 44.3018i | 0.393281 | − | 1.08053i | −0.572213 | − | 0.820105i | \(-0.693915\pi\) |
0.965494 | − | 0.260426i | \(-0.0838630\pi\) | |||||||
\(42\) | 11.0874 | + | 35.9703i | 0.263986 | + | 0.856437i | ||||
\(43\) | −33.2309 | − | 5.85950i | −0.772811 | − | 0.136268i | −0.226683 | − | 0.973969i | \(-0.572788\pi\) |
−0.546129 | + | 0.837701i | \(0.683899\pi\) | |||||||
\(44\) | −15.7638 | − | 21.8540i | −0.358268 | − | 0.496681i | ||||
\(45\) | −0.804014 | − | 0.164183i | −0.0178670 | − | 0.00364850i | ||||
\(46\) | 1.32298 | + | 0.676946i | 0.0287604 | + | 0.0147162i | ||||
\(47\) | −12.2731 | + | 14.6265i | −0.261130 | + | 0.311203i | −0.880640 | − | 0.473786i | \(-0.842887\pi\) |
0.619510 | + | 0.784989i | \(0.287331\pi\) | |||||||
\(48\) | 38.9129 | − | 28.1031i | 0.810686 | − | 0.585481i | ||||
\(49\) | −1.67476 | − | 9.49803i | −0.0341787 | − | 0.193837i | ||||
\(50\) | 36.6138 | − | 34.0259i | 0.732277 | − | 0.680519i | ||||
\(51\) | 25.1520 | + | 12.1431i | 0.493176 | + | 0.238099i | ||||
\(52\) | 17.5163 | + | 36.2280i | 0.336851 | + | 0.696693i | ||||
\(53\) | −31.3696 | −0.591879 | −0.295940 | − | 0.955207i | \(-0.595633\pi\) | ||||
−0.295940 | + | 0.955207i | \(0.595633\pi\) | |||||||
\(54\) | −43.9130 | + | 31.4269i | −0.813203 | + | 0.581980i | ||||
\(55\) | 0.614227 | 0.0111678 | ||||||||
\(56\) | 44.0191 | − | 24.1054i | 0.786055 | − | 0.430454i | ||||
\(57\) | −4.29123 | − | 58.0287i | −0.0752847 | − | 1.01805i | ||||
\(58\) | −8.36377 | + | 7.77261i | −0.144203 | + | 0.134011i | ||||
\(59\) | −10.4833 | − | 59.4537i | −0.177683 | − | 1.00769i | −0.935001 | − | 0.354644i | \(-0.884602\pi\) |
0.757319 | − | 0.653046i | \(-0.226509\pi\) | |||||||
\(60\) | 0.000632880 | 1.09414i | 1.05480e−5 | 0.0182357i | ||||||
\(61\) | 38.9052 | − | 46.3654i | 0.637791 | − | 0.760089i | −0.346229 | − | 0.938150i | \(-0.612538\pi\) |
0.984019 | + | 0.178061i | \(0.0569824\pi\) | |||||||
\(62\) | −10.5201 | + | 20.5598i | −0.169679 | + | 0.331609i | ||||
\(63\) | −49.6379 | + | 26.9048i | −0.787903 | + | 0.427061i | ||||
\(64\) | −47.1188 | − | 43.3107i | −0.736232 | − | 0.676729i | ||||
\(65\) | −0.903329 | − | 0.159281i | −0.0138974 | − | 0.00245048i | ||||
\(66\) | 27.4980 | − | 29.6238i | 0.416637 | − | 0.448845i | ||||
\(67\) | −25.7894 | + | 70.8557i | −0.384916 | + | 1.05755i | 0.584343 | + | 0.811506i | \(0.301352\pi\) |
−0.969259 | + | 0.246041i | \(0.920870\pi\) | |||||||
\(68\) | 9.13280 | − | 36.1026i | 0.134306 | − | 0.530920i | ||||
\(69\) | −0.605859 | + | 2.14525i | −0.00878057 | + | 0.0310906i | ||||
\(70\) | −0.141362 | + | 1.13523i | −0.00201946 | + | 0.0162176i | ||||
\(71\) | 22.9941 | − | 13.2757i | 0.323861 | − | 0.186981i | −0.329251 | − | 0.944242i | \(-0.606796\pi\) |
0.653112 | + | 0.757261i | \(0.273463\pi\) | |||||||
\(72\) | 52.7981 | + | 48.9526i | 0.733307 | + | 0.679897i | ||||
\(73\) | −11.2424 | + | 19.4724i | −0.154005 | + | 0.266745i | −0.932696 | − | 0.360663i | \(-0.882551\pi\) |
0.778691 | + | 0.627407i | \(0.215884\pi\) | |||||||
\(74\) | −62.7550 | + | 82.9827i | −0.848041 | + | 1.12139i | ||||
\(75\) | 60.8320 | + | 43.8261i | 0.811093 | + | 0.584348i | ||||
\(76\) | −74.6502 | + | 21.1292i | −0.982239 | + | 0.278016i | ||||
\(77\) | 32.3737 | − | 27.1648i | 0.420438 | − | 0.352789i | ||||
\(78\) | −48.1228 | + | 36.4362i | −0.616959 | + | 0.467131i | ||||
\(79\) | −136.839 | + | 49.8053i | −1.73214 | + | 0.630446i | −0.998779 | − | 0.0493963i | \(-0.984270\pi\) |
−0.733358 | + | 0.679843i | \(0.762048\pi\) | |||||||
\(80\) | 1.42902 | − | 0.293534i | 0.0178627 | − | 0.00366917i | ||||
\(81\) | −59.1599 | − | 55.3273i | −0.730369 | − | 0.683053i | ||||
\(82\) | −4.77353 | − | 94.1690i | −0.0582138 | − | 1.14840i | ||||
\(83\) | 30.3624 | − | 11.0510i | 0.365812 | − | 0.133145i | −0.152573 | − | 0.988292i | \(-0.548756\pi\) |
0.518385 | + | 0.855148i | \(0.326534\pi\) | |||||||
\(84\) | 48.4229 | + | 57.6404i | 0.576463 | + | 0.686195i | ||||
\(85\) | 0.545641 | + | 0.650270i | 0.00641931 | + | 0.00765023i | ||||
\(86\) | −65.7833 | + | 15.0687i | −0.764922 | + | 0.175217i | ||||
\(87\) | −13.8960 | − | 10.0113i | −0.159724 | − | 0.115072i | ||||
\(88\) | −46.0515 | − | 27.9935i | −0.523312 | − | 0.318108i | ||||
\(89\) | 95.4963 | + | 55.1348i | 1.07299 | + | 0.619492i | 0.928997 | − | 0.370086i | \(-0.120672\pi\) |
0.143995 | + | 0.989578i | \(0.454005\pi\) | |||||||
\(90\) | −1.60906 | + | 0.323290i | −0.0178784 | + | 0.00359212i | ||||
\(91\) | −54.6557 | + | 31.5555i | −0.600612 | + | 0.346763i | ||||
\(92\) | 2.96425 | + | 0.217483i | 0.0322201 | + | 0.00236395i | ||||
\(93\) | −33.3384 | − | 9.41537i | −0.358477 | − | 0.101241i | ||||
\(94\) | −11.2274 | + | 36.4994i | −0.119440 | + | 0.388292i | ||||
\(95\) | 0.604853 | − | 1.66182i | 0.00636687 | − | 0.0174928i | ||||
\(96\) | 49.8182 | − | 82.0618i | 0.518940 | − | 0.854811i | ||||
\(97\) | −16.2700 | + | 92.2716i | −0.167732 | + | 0.951254i | 0.778471 | + | 0.627680i | \(0.215995\pi\) |
−0.946203 | + | 0.323574i | \(0.895116\pi\) | |||||||
\(98\) | −10.4779 | − | 16.1952i | −0.106917 | − | 0.165257i | ||||
\(99\) | 51.6717 | + | 31.7157i | 0.521936 | + | 0.320361i | ||||
\(100\) | 40.9726 | − | 91.1844i | 0.409726 | − | 0.911844i | ||||
\(101\) | 112.985 | + | 94.8059i | 1.11867 | + | 0.938673i | 0.998536 | − | 0.0540854i | \(-0.0172243\pi\) |
0.120130 | + | 0.992758i | \(0.461669\pi\) | |||||||
\(102\) | 55.7897 | + | 2.79569i | 0.546958 | + | 0.0274087i | ||||
\(103\) | 34.4629 | + | 195.449i | 0.334592 | + | 1.89756i | 0.431227 | + | 0.902244i | \(0.358081\pi\) |
−0.0966350 | + | 0.995320i | \(0.530808\pi\) | |||||||
\(104\) | 60.4676 | + | 53.1114i | 0.581419 | + | 0.510687i | ||||
\(105\) | −1.71132 | + | 0.126553i | −0.0162983 | + | 0.00120526i | ||||
\(106\) | −57.7936 | + | 24.4152i | −0.545223 | + | 0.230332i | ||||
\(107\) | −96.8594 | −0.905228 | −0.452614 | − | 0.891707i | \(-0.649508\pi\) | ||||
−0.452614 | + | 0.891707i | \(0.649508\pi\) | |||||||
\(108\) | −56.4430 | + | 92.0771i | −0.522620 | + | 0.852565i | ||||
\(109\) | − | 127.296i | − | 1.16785i | −0.811807 | − | 0.583926i | \(-0.801516\pi\) | ||
0.811807 | − | 0.583926i | \(-0.198484\pi\) | |||||||
\(110\) | 1.13162 | − | 0.478058i | 0.0102874 | − | 0.00434598i | ||||
\(111\) | −140.539 | − | 67.8502i | −1.26611 | − | 0.611263i | ||||
\(112\) | 62.3368 | − | 78.6709i | 0.556579 | − | 0.702419i | ||||
\(113\) | 210.930 | − | 37.1926i | 1.86663 | − | 0.329138i | 0.877903 | − | 0.478839i | \(-0.158942\pi\) |
0.988731 | + | 0.149702i | \(0.0478313\pi\) | |||||||
\(114\) | −53.0702 | − | 103.569i | −0.465528 | − | 0.908499i | ||||
\(115\) | −0.0435492 | + | 0.0519000i | −0.000378689 | + | 0.000451304i | ||||
\(116\) | −9.35945 | + | 20.8294i | −0.0806849 | + | 0.179564i | ||||
\(117\) | −67.7678 | − | 60.0431i | −0.579212 | − | 0.513189i | ||||
\(118\) | −65.5872 | − | 101.375i | −0.555823 | − | 0.859110i | ||||
\(119\) | 57.5177 | + | 10.1419i | 0.483342 | + | 0.0852262i | ||||
\(120\) | 0.852746 | + | 2.01529i | 0.00710622 | + | 0.0167941i | ||||
\(121\) | 71.0588 | + | 25.8633i | 0.587262 | + | 0.213746i | ||||
\(122\) | 35.5902 | − | 115.701i | 0.291723 | − | 0.948372i | ||||
\(123\) | 137.096 | − | 34.7652i | 1.11460 | − | 0.282644i | ||||
\(124\) | −3.37980 | + | 46.0660i | −0.0272565 | + | 0.371500i | ||||
\(125\) | 2.27908 | + | 3.94749i | 0.0182327 | + | 0.0315799i | ||||
\(126\) | −70.5099 | + | 88.2016i | −0.559602 | + | 0.700013i | ||||
\(127\) | 39.7238 | − | 68.8036i | 0.312786 | − | 0.541760i | −0.666179 | − | 0.745792i | \(-0.732071\pi\) |
0.978964 | + | 0.204032i | \(0.0654046\pi\) | |||||||
\(128\) | −120.518 | − | 43.1202i | −0.941549 | − | 0.336876i | ||||
\(129\) | −41.5440 | − | 92.3132i | −0.322047 | − | 0.715606i | ||||
\(130\) | −1.78821 | + | 0.409618i | −0.0137555 | + | 0.00315091i | ||||
\(131\) | 116.464 | − | 97.7247i | 0.889037 | − | 0.745990i | −0.0789801 | − | 0.996876i | \(-0.525166\pi\) |
0.968017 | + | 0.250886i | \(0.0807219\pi\) | |||||||
\(132\) | 27.6044 | − | 75.9792i | 0.209124 | − | 0.575600i | ||||
\(133\) | −41.6159 | − | 114.339i | −0.312902 | − | 0.859691i | ||||
\(134\) | 7.63473 | + | 150.613i | 0.0569756 | + | 1.12398i | ||||
\(135\) | −0.949555 | − | 2.27132i | −0.00703374 | − | 0.0168246i | ||||
\(136\) | −11.2732 | − | 73.6215i | −0.0828911 | − | 0.541335i | ||||
\(137\) | −68.8364 | − | 189.127i | −0.502456 | − | 1.38049i | −0.888870 | − | 0.458160i | \(-0.848509\pi\) |
0.386414 | − | 0.922326i | \(-0.373714\pi\) | |||||||
\(138\) | 0.553468 | + | 4.42384i | 0.00401064 | + | 0.0320568i | ||||
\(139\) | −11.2356 | − | 13.3900i | −0.0808315 | − | 0.0963313i | 0.724113 | − | 0.689681i | \(-0.242249\pi\) |
−0.804944 | + | 0.593350i | \(0.797805\pi\) | |||||||
\(140\) | 0.623122 | + | 2.20151i | 0.00445087 | + | 0.0157250i | ||||
\(141\) | −56.9905 | − | 5.75941i | −0.404188 | − | 0.0408469i | ||||
\(142\) | 32.0305 | − | 42.3549i | 0.225567 | − | 0.298274i | ||||
\(143\) | 58.6907 | + | 33.8851i | 0.410424 | + | 0.236959i | ||||
\(144\) | 135.373 | + | 49.0943i | 0.940088 | + | 0.340933i | ||||
\(145\) | −0.260264 | − | 0.450791i | −0.00179493 | − | 0.00310890i | ||||
\(146\) | −5.55681 | + | 44.6248i | −0.0380604 | + | 0.305650i | ||||
\(147\) | 20.7325 | − | 20.1821i | 0.141037 | − | 0.137294i | ||||
\(148\) | −51.0302 | + | 201.726i | −0.344798 | + | 1.36301i | ||||
\(149\) | 117.852 | + | 42.8946i | 0.790953 | + | 0.287883i | 0.705732 | − | 0.708479i | \(-0.250618\pi\) |
0.0852206 | + | 0.996362i | \(0.472840\pi\) | |||||||
\(150\) | 146.184 | + | 33.3967i | 0.974559 | + | 0.222645i | ||||
\(151\) | −19.8744 | + | 112.713i | −0.131619 | + | 0.746447i | 0.845536 | + | 0.533918i | \(0.179281\pi\) |
−0.977155 | + | 0.212529i | \(0.931830\pi\) | |||||||
\(152\) | −121.086 | + | 97.0283i | −0.796621 | + | 0.638344i | ||||
\(153\) | 12.3251 | + | 82.8781i | 0.0805562 | + | 0.541687i | ||||
\(154\) | 38.5010 | − | 75.2437i | 0.250006 | − | 0.488595i | ||||
\(155\) | −0.806553 | − | 0.676778i | −0.00520357 | − | 0.00436631i | ||||
\(156\) | −60.3001 | + | 104.582i | −0.386539 | + | 0.670401i | ||||
\(157\) | 282.859 | − | 49.8757i | 1.80165 | − | 0.317680i | 0.830657 | − | 0.556784i | \(-0.187965\pi\) |
0.970994 | + | 0.239104i | \(0.0768538\pi\) | |||||||
\(158\) | −213.340 | + | 198.261i | −1.35026 | + | 1.25482i | ||||
\(159\) | −52.9368 | − | 77.8084i | −0.332936 | − | 0.489361i | ||||
\(160\) | 2.40429 | − | 1.65301i | 0.0150268 | − | 0.0103313i | ||||
\(161\) | 4.66147i | 0.0289533i | ||||||||
\(162\) | −152.055 | − | 55.8873i | −0.938609 | − | 0.344983i | ||||
\(163\) | 226.336i | 1.38857i | 0.719701 | + | 0.694284i | \(0.244279\pi\) | ||||
−0.719701 | + | 0.694284i | \(0.755721\pi\) | |||||||
\(164\) | −82.0871 | − | 169.777i | −0.500531 | − | 1.03522i | ||||
\(165\) | 1.03652 | + | 1.52351i | 0.00628194 | + | 0.00923342i | ||||
\(166\) | 47.3369 | − | 43.9911i | 0.285162 | − | 0.265007i | ||||
\(167\) | 170.846 | − | 30.1248i | 1.02303 | − | 0.180388i | 0.363128 | − | 0.931739i | \(-0.381709\pi\) |
0.659902 | + | 0.751351i | \(0.270598\pi\) | |||||||
\(168\) | 134.074 | + | 68.5055i | 0.798057 | + | 0.407771i | ||||
\(169\) | 51.9336 | + | 43.5774i | 0.307299 | + | 0.257855i | ||||
\(170\) | 1.51137 | + | 0.773344i | 0.00889041 | + | 0.00454908i | ||||
\(171\) | 136.692 | − | 108.568i | 0.799366 | − | 0.634903i | ||||
\(172\) | −109.467 | + | 78.9614i | −0.636438 | + | 0.459078i | ||||
\(173\) | −38.7423 | + | 219.718i | −0.223944 | + | 1.27005i | 0.640751 | + | 0.767749i | \(0.278623\pi\) |
−0.864694 | + | 0.502299i | \(0.832488\pi\) | |||||||
\(174\) | −33.3930 | − | 7.62887i | −0.191914 | − | 0.0438441i | ||||
\(175\) | 147.328 | + | 53.6228i | 0.841871 | + | 0.306416i | ||||
\(176\) | −106.630 | − | 15.7313i | −0.605854 | − | 0.0893825i | ||||
\(177\) | 129.777 | − | 126.332i | 0.733202 | − | 0.713739i | ||||
\(178\) | 218.849 | + | 27.2517i | 1.22949 | + | 0.153099i | ||||
\(179\) | −130.256 | − | 225.610i | −0.727686 | − | 1.26039i | −0.957859 | − | 0.287240i | \(-0.907262\pi\) |
0.230172 | − | 0.973150i | \(-0.426071\pi\) | |||||||
\(180\) | −2.71282 | + | 1.84796i | −0.0150712 | + | 0.0102664i | ||||
\(181\) | 244.458 | + | 141.138i | 1.35060 | + | 0.779768i | 0.988333 | − | 0.152307i | \(-0.0486703\pi\) |
0.362265 | + | 0.932075i | \(0.382004\pi\) | |||||||
\(182\) | −76.1347 | + | 100.675i | −0.418322 | + | 0.553160i | ||||
\(183\) | 180.657 | + | 18.2570i | 0.987198 | + | 0.0997653i | ||||
\(184\) | 5.63044 | − | 1.90643i | 0.0306002 | − | 0.0103610i | ||||
\(185\) | −3.04881 | − | 3.63343i | −0.0164800 | − | 0.0196402i | ||||
\(186\) | −68.7488 | + | 8.60119i | −0.369617 | + | 0.0462429i | ||||
\(187\) | −21.4504 | − | 58.9345i | −0.114708 | − | 0.315158i | ||||
\(188\) | 7.72316 | + | 75.9829i | 0.0410807 | + | 0.404164i | ||||
\(189\) | −150.499 | − | 77.7183i | −0.796292 | − | 0.411208i | ||||
\(190\) | −0.179062 | − | 3.53241i | −0.000942430 | − | 0.0185916i | ||||
\(191\) | −38.4531 | − | 105.649i | −0.201325 | − | 0.553136i | 0.797409 | − | 0.603439i | \(-0.206203\pi\) |
−0.998734 | + | 0.0503035i | \(0.983981\pi\) | |||||||
\(192\) | 27.9128 | − | 189.960i | 0.145379 | − | 0.989376i | ||||
\(193\) | −46.1834 | + | 38.7525i | −0.239292 | + | 0.200790i | −0.754545 | − | 0.656248i | \(-0.772142\pi\) |
0.515253 | + | 0.857038i | \(0.327698\pi\) | |||||||
\(194\) | 41.8409 | + | 182.659i | 0.215675 | + | 0.941542i | ||||
\(195\) | −1.12931 | − | 2.50939i | −0.00579132 | − | 0.0128687i | ||||
\(196\) | −31.9087 | − | 21.6820i | −0.162800 | − | 0.110623i | ||||
\(197\) | −140.618 | + | 243.558i | −0.713799 | + | 1.23634i | 0.249622 | + | 0.968343i | \(0.419694\pi\) |
−0.963421 | + | 0.267993i | \(0.913640\pi\) | |||||||
\(198\) | 119.882 | + | 18.2148i | 0.605463 | + | 0.0919939i | ||||
\(199\) | −108.873 | − | 188.573i | −0.547098 | − | 0.947602i | −0.998472 | − | 0.0552668i | \(-0.982399\pi\) |
0.451373 | − | 0.892335i | \(-0.350934\pi\) | |||||||
\(200\) | 4.51603 | − | 199.882i | 0.0225802 | − | 0.999412i | ||||
\(201\) | −219.269 | + | 55.6030i | −1.09089 | + | 0.276632i | ||||
\(202\) | 281.946 | + | 86.7278i | 1.39577 | + | 0.429345i | ||||
\(203\) | −33.6543 | − | 12.2492i | −0.165785 | − | 0.0603407i | ||||
\(204\) | 104.960 | − | 38.2710i | 0.514509 | − | 0.187603i | ||||
\(205\) | 4.23330 | + | 0.746445i | 0.0206502 | + | 0.00364119i | ||||
\(206\) | 215.612 | + | 333.262i | 1.04666 | + | 1.61778i | ||||
\(207\) | −6.34344 | + | 2.11740i | −0.0306446 | + | 0.0102290i | ||||
\(208\) | 152.739 | + | 50.7871i | 0.734324 | + | 0.244169i | ||||
\(209\) | −83.9865 | + | 100.091i | −0.401849 | + | 0.478905i | ||||
\(210\) | −3.05435 | + | 1.56509i | −0.0145445 | + | 0.00745281i | ||||
\(211\) | 170.678 | − | 30.0952i | 0.808902 | − | 0.142631i | 0.246123 | − | 0.969239i | \(-0.420843\pi\) |
0.562779 | + | 0.826607i | \(0.309732\pi\) | |||||||
\(212\) | −87.4732 | + | 89.9626i | −0.412609 | + | 0.424352i | ||||
\(213\) | 71.7317 | + | 34.6312i | 0.336769 | + | 0.162588i | ||||
\(214\) | −178.448 | + | 75.3865i | −0.833871 | + | 0.352273i | ||||
\(215\) | − | 3.07668i | − | 0.0143102i | ||||||
\(216\) | −32.3231 | + | 213.568i | −0.149644 | + | 0.988740i | ||||
\(217\) | −72.4418 | −0.333833 | ||||||||
\(218\) | −99.0755 | − | 234.523i | −0.454475 | − | 1.07579i | ||||
\(219\) | −67.2705 | + | 4.97467i | −0.307171 | + | 0.0227154i | ||||
\(220\) | 1.71275 | − | 1.76150i | 0.00778524 | − | 0.00800680i | ||||
\(221\) | 16.2637 | + | 92.2361i | 0.0735915 | + | 0.417358i | ||||
\(222\) | −311.729 | − | 15.6211i | −1.40418 | − | 0.0703654i | ||||
\(223\) | −101.720 | − | 85.3535i | −0.456145 | − | 0.382751i | 0.385565 | − | 0.922681i | \(-0.374006\pi\) |
−0.841710 | + | 0.539929i | \(0.818451\pi\) | |||||||
\(224\) | 53.6156 | − | 193.456i | 0.239355 | − | 0.863644i | ||||
\(225\) | −6.05005 | + | 224.844i | −0.0268891 | + | 0.999306i | ||||
\(226\) | 359.658 | − | 232.690i | 1.59141 | − | 1.02960i | ||||
\(227\) | −30.0632 | + | 170.497i | −0.132437 | + | 0.751088i | 0.844173 | + | 0.536071i | \(0.180092\pi\) |
−0.976610 | + | 0.215017i | \(0.931019\pi\) | |||||||
\(228\) | −178.382 | − | 149.505i | −0.782378 | − | 0.655722i | ||||
\(229\) | 43.6299 | − | 119.872i | 0.190524 | − | 0.523460i | −0.807246 | − | 0.590216i | \(-0.799043\pi\) |
0.997769 | + | 0.0667561i | \(0.0212649\pi\) | |||||||
\(230\) | −0.0398385 | + | 0.129512i | −0.000173211 | + | 0.000563097i | ||||
\(231\) | 122.010 | + | 34.4580i | 0.528183 | + | 0.149169i | ||||
\(232\) | −1.03161 | + | 45.6595i | −0.00444658 | + | 0.196808i | ||||
\(233\) | −332.368 | + | 191.893i | −1.42647 | + | 0.823574i | −0.996840 | − | 0.0794303i | \(-0.974690\pi\) |
−0.429632 | + | 0.903004i | \(0.641357\pi\) | |||||||
\(234\) | −171.584 | − | 57.8758i | −0.733264 | − | 0.247332i | ||||
\(235\) | −1.50769 | − | 0.870463i | −0.00641568 | − | 0.00370410i | ||||
\(236\) | −199.735 | − | 135.721i | −0.846336 | − | 0.575087i | ||||
\(237\) | −354.454 | − | 255.365i | −1.49559 | − | 1.07749i | ||||
\(238\) | 113.861 | − | 26.0816i | 0.478407 | − | 0.109587i | ||||
\(239\) | −193.217 | − | 230.267i | −0.808439 | − | 0.963460i | 0.191398 | − | 0.981513i | \(-0.438698\pi\) |
−0.999837 | + | 0.0180522i | \(0.994254\pi\) | |||||||
\(240\) | 3.13957 | + | 3.04916i | 0.0130816 | + | 0.0127049i | ||||
\(241\) | −59.4335 | + | 21.6320i | −0.246612 | + | 0.0897594i | −0.462369 | − | 0.886688i | \(-0.653000\pi\) |
0.215757 | + | 0.976447i | \(0.430778\pi\) | |||||||
\(242\) | 151.044 | − | 7.65661i | 0.624150 | − | 0.0316389i | ||||
\(243\) | 37.3991 | − | 240.105i | 0.153906 | − | 0.988086i | ||||
\(244\) | −24.4821 | − | 240.862i | −0.100336 | − | 0.987140i | ||||
\(245\) | 0.826342 | − | 0.300764i | 0.00337283 | − | 0.00122761i | ||||
\(246\) | 225.519 | − | 170.752i | 0.916745 | − | 0.694115i | ||||
\(247\) | 149.473 | − | 125.422i | 0.605152 | − | 0.507783i | ||||
\(248\) | 29.6269 | + | 87.5001i | 0.119463 | + | 0.352823i | ||||
\(249\) | 78.6478 | + | 56.6614i | 0.315855 | + | 0.227556i | ||||
\(250\) | 7.27122 | + | 5.49880i | 0.0290849 | + | 0.0219952i | ||||
\(251\) | 18.9371 | − | 32.8000i | 0.0754466 | − | 0.130677i | −0.825834 | − | 0.563914i | \(-0.809295\pi\) |
0.901280 | + | 0.433236i | \(0.142628\pi\) | |||||||
\(252\) | −61.2554 | + | 217.376i | −0.243077 | + | 0.862604i | ||||
\(253\) | 4.33499 | − | 2.50281i | 0.0171343 | − | 0.00989251i | ||||
\(254\) | 19.6344 | − | 157.677i | 0.0773009 | − | 0.620777i | ||||
\(255\) | −0.692134 | + | 2.45074i | −0.00271425 | + | 0.00961074i | ||||
\(256\) | −255.597 | + | 14.3582i | −0.998426 | + | 0.0560869i | ||||
\(257\) | −41.1816 | + | 113.145i | −0.160240 | + | 0.440255i | −0.993666 | − | 0.112376i | \(-0.964154\pi\) |
0.833426 | + | 0.552631i | \(0.186376\pi\) | |||||||
\(258\) | −148.387 | − | 137.739i | −0.575142 | − | 0.533871i | ||||
\(259\) | −321.384 | − | 56.6687i | −1.24087 | − | 0.218798i | ||||
\(260\) | −2.97570 | + | 2.14644i | −0.0114450 | + | 0.00825554i | ||||
\(261\) | 1.38203 | − | 51.3615i | 0.00529512 | − | 0.196787i | ||||
\(262\) | 138.506 | − | 270.687i | 0.528651 | − | 1.03316i | ||||
\(263\) | −241.678 | + | 288.021i | −0.918928 | + | 1.09514i | 0.0762538 | + | 0.997088i | \(0.475704\pi\) |
−0.995182 | + | 0.0980473i | \(0.968740\pi\) | |||||||
\(264\) | −8.27846 | − | 161.465i | −0.0313578 | − | 0.611609i | ||||
\(265\) | −0.496674 | − | 2.81678i | −0.00187424 | − | 0.0106293i | ||||
\(266\) | −165.662 | − | 178.262i | −0.622789 | − | 0.670156i | ||||
\(267\) | 24.3968 | + | 329.908i | 0.0913736 | + | 1.23561i | ||||
\(268\) | 131.289 | + | 271.538i | 0.489885 | + | 1.01320i | ||||
\(269\) | −142.107 | −0.528278 | −0.264139 | − | 0.964485i | \(-0.585088\pi\) | ||||
−0.264139 | + | 0.964485i | \(0.585088\pi\) | |||||||
\(270\) | −3.51720 | − | 3.44551i | −0.0130267 | − | 0.0127611i | ||||
\(271\) | 143.794 | 0.530607 | 0.265303 | − | 0.964165i | \(-0.414528\pi\) | ||||
0.265303 | + | 0.964165i | \(0.414528\pi\) | |||||||
\(272\) | −78.0694 | − | 126.862i | −0.287020 | − | 0.466405i | ||||
\(273\) | −170.502 | − | 82.3162i | −0.624550 | − | 0.301525i | ||||
\(274\) | −274.019 | − | 294.860i | −1.00007 | − | 1.07613i | ||||
\(275\) | −29.2349 | − | 165.800i | −0.106309 | − | 0.602907i | ||||
\(276\) | 4.46279 | + | 7.71947i | 0.0161695 | + | 0.0279691i | ||||
\(277\) | −12.7030 | + | 15.1388i | −0.0458592 | + | 0.0546528i | −0.788486 | − | 0.615052i | \(-0.789135\pi\) |
0.742627 | + | 0.669705i | \(0.233579\pi\) | |||||||
\(278\) | −31.1214 | − | 15.9243i | −0.111948 | − | 0.0572817i | ||||
\(279\) | −32.9055 | − | 98.5804i | −0.117941 | − | 0.353335i | ||||
\(280\) | 2.86146 | + | 3.57095i | 0.0102195 | + | 0.0127534i | ||||
\(281\) | −13.1397 | − | 2.31689i | −0.0467607 | − | 0.00824517i | 0.150219 | − | 0.988653i | \(-0.452002\pi\) |
−0.196980 | + | 0.980408i | \(0.563113\pi\) | |||||||
\(282\) | −109.479 | + | 33.7454i | −0.388223 | + | 0.119665i | ||||
\(283\) | −37.6450 | + | 103.429i | −0.133021 | + | 0.365473i | −0.988264 | − | 0.152754i | \(-0.951186\pi\) |
0.855243 | + | 0.518227i | \(0.173408\pi\) | |||||||
\(284\) | 26.0461 | − | 102.962i | 0.0917116 | − | 0.362542i | ||||
\(285\) | 5.14264 | − | 1.30409i | 0.0180444 | − | 0.00457575i | ||||
\(286\) | 134.502 | + | 16.7485i | 0.470285 | + | 0.0585612i | ||||
\(287\) | 256.135 | − | 147.879i | 0.892455 | − | 0.515259i | ||||
\(288\) | 287.614 | − | 14.9131i | 0.998658 | − | 0.0517815i | ||||
\(289\) | −101.162 | + | 175.218i | −0.350043 | + | 0.606292i | ||||
\(290\) | −0.830351 | − | 0.627946i | −0.00286328 | − | 0.00216533i | ||||
\(291\) | −256.324 | + | 115.355i | −0.880840 | + | 0.396407i | ||||
\(292\) | 24.4944 | + | 86.5393i | 0.0838848 | + | 0.296367i | ||||
\(293\) | 19.8199 | − | 16.6309i | 0.0676448 | − | 0.0567607i | −0.608338 | − | 0.793678i | \(-0.708164\pi\) |
0.675983 | + | 0.736917i | \(0.263719\pi\) | |||||||
\(294\) | 22.4885 | − | 53.3188i | 0.0764915 | − | 0.181356i | ||||
\(295\) | 5.17256 | − | 1.88266i | 0.0175341 | − | 0.00638189i | ||||
\(296\) | 62.9897 | + | 411.365i | 0.212803 | + | 1.38975i | ||||
\(297\) | 8.52997 | + | 181.686i | 0.0287205 | + | 0.611738i | ||||
\(298\) | 250.509 | − | 12.6986i | 0.840635 | − | 0.0426127i | ||||
\(299\) | −7.02439 | + | 2.55667i | −0.0234929 | + | 0.00855073i | ||||
\(300\) | 295.314 | − | 52.2480i | 0.984380 | − | 0.174160i | ||||
\(301\) | −136.069 | − | 162.161i | −0.452058 | − | 0.538742i | ||||
\(302\) | 51.1104 | + | 223.126i | 0.169240 | + | 0.738826i | ||||
\(303\) | −44.4896 | + | 440.233i | −0.146830 | + | 1.45292i | ||||
\(304\) | −147.565 | + | 273.002i | −0.485411 | + | 0.898033i | ||||
\(305\) | 4.77929 | + | 2.75932i | 0.0156698 | + | 0.00904696i | ||||
\(306\) | 87.2119 | + | 143.097i | 0.285006 | + | 0.467638i | ||||
\(307\) | −210.510 | + | 121.538i | −0.685701 | + | 0.395890i | −0.802000 | − | 0.597324i | \(-0.796230\pi\) |
0.116298 | + | 0.993214i | \(0.462897\pi\) | |||||||
\(308\) | 12.3692 | − | 168.590i | 0.0401599 | − | 0.547372i | ||||
\(309\) | −426.631 | + | 415.305i | −1.38068 | + | 1.34403i | ||||
\(310\) | −2.01269 | − | 0.619112i | −0.00649255 | − | 0.00199713i | ||||
\(311\) | 70.5333 | − | 193.789i | 0.226795 | − | 0.623115i | −0.773143 | − | 0.634232i | \(-0.781317\pi\) |
0.999938 | + | 0.0111171i | \(0.00353874\pi\) | |||||||
\(312\) | −29.6961 | + | 239.609i | −0.0951797 | + | 0.767978i | ||||
\(313\) | 38.6125 | − | 218.982i | 0.123363 | − | 0.699624i | −0.858904 | − | 0.512136i | \(-0.828854\pi\) |
0.982267 | − | 0.187488i | \(-0.0600346\pi\) | |||||||
\(314\) | 482.306 | − | 312.040i | 1.53600 | − | 0.993759i | ||||
\(315\) | −3.20179 | − | 4.03116i | −0.0101644 | − | 0.0127973i | ||||
\(316\) | −238.738 | + | 531.311i | −0.755500 | + | 1.68136i | ||||
\(317\) | 11.3747 | + | 9.54451i | 0.0358824 | + | 0.0301089i | 0.660552 | − | 0.750780i | \(-0.270322\pi\) |
−0.624670 | + | 0.780889i | \(0.714767\pi\) | |||||||
\(318\) | −158.087 | − | 102.149i | −0.497129 | − | 0.321223i | ||||
\(319\) | 6.67819 | + | 37.8739i | 0.0209348 | + | 0.118727i | ||||
\(320\) | 3.14297 | − | 4.91669i | 0.00982179 | − | 0.0153647i | ||||
\(321\) | −163.452 | − | 240.248i | −0.509197 | − | 0.748436i | ||||
\(322\) | 3.62807 | + | 8.58804i | 0.0112673 | + | 0.0266709i | ||||
\(323\) | −180.573 | −0.559050 | ||||||||
\(324\) | −323.635 | + | 15.3819i | −0.998872 | + | 0.0474751i | ||||
\(325\) | 251.419i | 0.773596i | ||||||||
\(326\) | 176.160 | + | 416.990i | 0.540367 | + | 1.27911i | ||||
\(327\) | 315.742 | − | 214.814i | 0.965571 | − | 0.656924i | ||||
\(328\) | −283.371 | − | 248.898i | −0.863937 | − | 0.758835i | ||||
\(329\) | −117.962 | + | 20.7999i | −0.358547 | + | 0.0632215i | ||||
\(330\) | 3.09539 | + | 2.00011i | 0.00937997 | + | 0.00606093i | ||||
\(331\) | −133.336 | + | 158.903i | −0.402827 | + | 0.480071i | −0.928880 | − | 0.370381i | \(-0.879227\pi\) |
0.526052 | + | 0.850452i | \(0.323672\pi\) | |||||||
\(332\) | 52.9722 | − | 117.889i | 0.159555 | − | 0.355089i | ||||
\(333\) | −68.8674 | − | 463.087i | −0.206809 | − | 1.39065i | ||||
\(334\) | 291.311 | − | 188.471i | 0.872189 | − | 0.564285i | ||||
\(335\) | −6.77069 | − | 1.19385i | −0.0202110 | − | 0.00356374i | ||||
\(336\) | 300.328 | + | 21.8600i | 0.893834 | + | 0.0650596i | ||||
\(337\) | −224.249 | − | 81.6199i | −0.665427 | − | 0.242196i | −0.0128494 | − | 0.999917i | \(-0.504090\pi\) |
−0.652578 | + | 0.757722i | \(0.726312\pi\) | |||||||
\(338\) | 129.596 | + | 39.8643i | 0.383421 | + | 0.117942i | ||||
\(339\) | 448.200 | + | 460.422i | 1.32212 | + | 1.35818i | ||||
\(340\) | 3.38637 | + | 0.248453i | 0.00995990 | + | 0.000730744i | ||||
\(341\) | 38.8949 | + | 67.3680i | 0.114061 | + | 0.197560i | ||||
\(342\) | 167.333 | − | 306.409i | 0.489278 | − | 0.895932i | ||||
\(343\) | 183.950 | − | 318.611i | 0.536298 | − | 0.928895i | ||||
\(344\) | −140.220 | + | 230.674i | −0.407617 | + | 0.670563i | ||||
\(345\) | −0.202222 | − | 0.0204363i | −0.000586150 | − | 5.92358e-5i | ||||
\(346\) | 99.6321 | + | 434.950i | 0.287954 | + | 1.25708i | ||||
\(347\) | 98.2213 | − | 82.4175i | 0.283058 | − | 0.237514i | −0.490193 | − | 0.871614i | \(-0.663074\pi\) |
0.773251 | + | 0.634100i | \(0.218629\pi\) | |||||||
\(348\) | −67.4591 | + | 11.9351i | −0.193848 | + | 0.0342963i | ||||
\(349\) | −180.467 | − | 495.830i | −0.517099 | − | 1.42072i | −0.873702 | − | 0.486461i | \(-0.838288\pi\) |
0.356604 | − | 0.934256i | \(-0.383935\pi\) | |||||||
\(350\) | 313.163 | − | 15.8746i | 0.894752 | − | 0.0453560i | ||||
\(351\) | 34.5700 | − | 269.414i | 0.0984901 | − | 0.767560i | ||||
\(352\) | −208.694 | + | 54.0088i | −0.592880 | + | 0.153434i | ||||
\(353\) | −90.1021 | − | 247.554i | −0.255247 | − | 0.701285i | −0.999445 | − | 0.0333255i | \(-0.989390\pi\) |
0.744198 | − | 0.667959i | \(-0.232832\pi\) | |||||||
\(354\) | 140.769 | − | 333.753i | 0.397651 | − | 0.942806i | ||||
\(355\) | 1.55613 | + | 1.85452i | 0.00438347 | + | 0.00522401i | ||||
\(356\) | 424.406 | − | 120.125i | 1.19215 | − | 0.337430i | ||||
\(357\) | 71.9064 | + | 159.780i | 0.201419 | + | 0.447564i | ||||
\(358\) | −415.570 | − | 314.272i | −1.16081 | − | 0.877854i | ||||
\(359\) | 454.091 | + | 262.170i | 1.26488 | + | 0.730278i | 0.974014 | − | 0.226487i | \(-0.0727241\pi\) |
0.290864 | + | 0.956765i | \(0.406057\pi\) | |||||||
\(360\) | −3.55966 | + | 5.51598i | −0.00988795 | + | 0.0153222i | ||||
\(361\) | 7.59678 | + | 13.1580i | 0.0210437 | + | 0.0364488i | ||||
\(362\) | 560.225 | + | 69.7609i | 1.54758 | + | 0.192710i | ||||
\(363\) | 55.7624 | + | 219.897i | 0.153615 | + | 0.605778i | ||||
\(364\) | −61.9100 | + | 244.735i | −0.170083 | + | 0.672348i | ||||
\(365\) | −1.92649 | − | 0.701184i | −0.00527805 | − | 0.00192105i | ||||
\(366\) | 347.042 | − | 106.971i | 0.948203 | − | 0.292271i | ||||
\(367\) | 28.6991 | − | 162.761i | 0.0781992 | − | 0.443490i | −0.920419 | − | 0.390934i | \(-0.872152\pi\) |
0.998618 | − | 0.0525559i | \(-0.0167368\pi\) | |||||||
\(368\) | 8.88943 | − | 7.89452i | 0.0241561 | − | 0.0214525i | ||||
\(369\) | 317.583 | + | 281.382i | 0.860657 | + | 0.762553i | ||||
\(370\) | −8.44489 | − | 4.32111i | −0.0228240 | − | 0.0116787i | ||||
\(371\) | −150.753 | − | 126.497i | −0.406342 | − | 0.340961i | ||||
\(372\) | −119.965 | + | 69.3542i | −0.322486 | + | 0.186436i | ||||
\(373\) | 552.028 | − | 97.3375i | 1.47997 | − | 0.260958i | 0.625403 | − | 0.780302i | \(-0.284934\pi\) |
0.854566 | + | 0.519343i | \(0.173823\pi\) | |||||||
\(374\) | −85.3883 | − | 91.8826i | −0.228311 | − | 0.245675i | ||||
\(375\) | −5.94526 | + | 12.3144i | −0.0158540 | + | 0.0328385i | ||||
\(376\) | 73.3669 | + | 133.976i | 0.195125 | + | 0.356318i | ||||
\(377\) | − | 57.4321i | − | 0.152340i | ||||||
\(378\) | −337.760 | − | 26.0491i | −0.893545 | − | 0.0689129i | ||||
\(379\) | 586.224i | 1.54677i | 0.633940 | + | 0.773383i | \(0.281437\pi\) | ||||
−0.633940 | + | 0.773383i | \(0.718563\pi\) | |||||||
\(380\) | −3.07920 | − | 6.36855i | −0.00810315 | − | 0.0167593i | ||||
\(381\) | 237.694 | − | 17.5775i | 0.623868 | − | 0.0461351i | ||||
\(382\) | −153.071 | − | 164.713i | −0.400710 | − | 0.431187i | ||||
\(383\) | −531.424 | + | 93.7043i | −1.38753 | + | 0.244659i | −0.817009 | − | 0.576625i | \(-0.804370\pi\) |
−0.570520 | + | 0.821284i | \(0.693258\pi\) | |||||||
\(384\) | −96.4227 | − | 371.697i | −0.251101 | − | 0.967961i | ||||
\(385\) | 2.95179 | + | 2.47684i | 0.00766698 | + | 0.00643336i | ||||
\(386\) | −54.9244 | + | 107.340i | −0.142291 | + | 0.278084i | ||||
\(387\) | 158.865 | − | 258.825i | 0.410505 | − | 0.668799i | ||||
\(388\) | 219.251 | + | 303.956i | 0.565079 | + | 0.783392i | ||||
\(389\) | −54.4757 | + | 308.947i | −0.140040 | + | 0.794208i | 0.831176 | + | 0.556009i | \(0.187668\pi\) |
−0.971216 | + | 0.238199i | \(0.923443\pi\) | |||||||
\(390\) | −4.03365 | − | 3.74421i | −0.0103427 | − | 0.00960053i | ||||
\(391\) | 6.50061 | + | 2.36603i | 0.0166256 | + | 0.00605122i | ||||
\(392\) | −75.6622 | − | 15.1110i | −0.193016 | − | 0.0385484i | ||||
\(393\) | 438.929 | + | 123.962i | 1.11687 | + | 0.315424i | ||||
\(394\) | −69.5040 | + | 558.163i | −0.176406 | + | 1.41666i | ||||
\(395\) | −6.63874 | − | 11.4986i | −0.0168069 | − | 0.0291105i | ||||
\(396\) | 235.040 | − | 59.7471i | 0.593536 | − | 0.150876i | ||||
\(397\) | −158.354 | − | 91.4259i | −0.398877 | − | 0.230292i | 0.287122 | − | 0.957894i | \(-0.407301\pi\) |
−0.685999 | + | 0.727602i | \(0.740635\pi\) | |||||||
\(398\) | −347.349 | − | 262.680i | −0.872736 | − | 0.659999i | ||||
\(399\) | 213.376 | − | 296.172i | 0.534777 | − | 0.742287i | ||||
\(400\) | −147.250 | − | 371.767i | −0.368126 | − | 0.929418i | ||||
\(401\) | 351.664 | + | 419.097i | 0.876968 | + | 1.04513i | 0.998618 | + | 0.0525568i | \(0.0167371\pi\) |
−0.121650 | + | 0.992573i | \(0.538818\pi\) | |||||||
\(402\) | −360.693 | + | 273.099i | −0.897246 | + | 0.679351i | ||||
\(403\) | −39.7320 | − | 109.163i | −0.0985906 | − | 0.270875i | ||||
\(404\) | 586.943 | − | 59.6589i | 1.45283 | − | 0.147671i | ||||
\(405\) | 4.03134 | − | 6.18815i | 0.00995392 | − | 0.0152794i | ||||
\(406\) | −71.5365 | + | 3.62626i | −0.176198 | + | 0.00893169i | ||||
\(407\) | 119.856 | + | 329.301i | 0.294486 | + | 0.809092i | ||||
\(408\) | 163.585 | − | 152.200i | 0.400945 | − | 0.373038i | ||||
\(409\) | 87.3255 | − | 73.2748i | 0.213510 | − | 0.179156i | −0.529760 | − | 0.848147i | \(-0.677718\pi\) |
0.743270 | + | 0.668991i | \(0.233274\pi\) | |||||||
\(410\) | 8.38016 | − | 1.91961i | 0.0204394 | − | 0.00468197i | ||||
\(411\) | 352.943 | − | 489.895i | 0.858741 | − | 1.19196i | ||||
\(412\) | 656.613 | + | 446.170i | 1.59372 | + | 1.08294i | ||||
\(413\) | 189.365 | − | 327.990i | 0.458511 | − | 0.794164i | ||||
\(414\) | −10.0388 | + | 8.83813i | −0.0242483 | + | 0.0213481i | ||||
\(415\) | 1.47303 | + | 2.55137i | 0.00354948 | + | 0.00614787i | ||||
\(416\) | 320.926 | − | 25.3111i | 0.771458 | − | 0.0608440i | ||||
\(417\) | 14.2521 | − | 50.4645i | 0.0341777 | − | 0.121018i | ||||
\(418\) | −76.8302 | + | 249.770i | −0.183804 | + | 0.597536i | ||||
\(419\) | 144.532 | + | 52.6055i | 0.344946 | + | 0.125550i | 0.508683 | − | 0.860954i | \(-0.330133\pi\) |
−0.163737 | + | 0.986504i | \(0.552355\pi\) | |||||||
\(420\) | −4.40904 | + | 5.26066i | −0.0104977 | + | 0.0125254i | ||||
\(421\) | 17.6517 | + | 3.11247i | 0.0419281 | + | 0.00739305i | 0.194573 | − | 0.980888i | \(-0.437668\pi\) |
−0.152645 | + | 0.988281i | \(0.548779\pi\) | |||||||
\(422\) | 291.025 | − | 188.286i | 0.689633 | − | 0.446176i | ||||
\(423\) | −81.8872 | − | 151.077i | −0.193587 | − | 0.357156i | ||||
\(424\) | −91.1370 | + | 233.823i | −0.214946 | + | 0.551470i | ||||
\(425\) | 149.558 | − | 178.237i | 0.351902 | − | 0.419380i | ||||
\(426\) | 159.108 | + | 7.97311i | 0.373494 | + | 0.0187162i | ||||
\(427\) | 373.933 | − | 65.9346i | 0.875722 | − | 0.154413i | ||||
\(428\) | −270.089 | + | 277.776i | −0.631050 | + | 0.649009i | ||||
\(429\) | 14.9939 | + | 202.757i | 0.0349508 | + | 0.472627i | ||||
\(430\) | −2.39461 | − | 5.66831i | −0.00556886 | − | 0.0131821i | ||||
\(431\) | − | 498.923i | − | 1.15759i | −0.815472 | − | 0.578797i | \(-0.803522\pi\) | ||
0.815472 | − | 0.578797i | \(-0.196478\pi\) | |||||||
\(432\) | 106.672 | + | 418.623i | 0.246925 | + | 0.969035i | ||||
\(433\) | −38.6641 | −0.0892936 | −0.0446468 | − | 0.999003i | \(-0.514216\pi\) | ||||
−0.0446468 | + | 0.999003i | \(0.514216\pi\) | |||||||
\(434\) | −133.463 | + | 56.3821i | −0.307518 | + | 0.129913i | ||||
\(435\) | 0.678931 | − | 1.40627i | 0.00156076 | − | 0.00323281i | ||||
\(436\) | −365.063 | − | 354.961i | −0.837299 | − | 0.814130i | ||||
\(437\) | −2.50263 | − | 14.1931i | −0.00572684 | − | 0.0324785i | ||||
\(438\) | −120.064 | + | 61.5223i | −0.274118 | + | 0.140462i | ||||
\(439\) | −239.442 | − | 200.915i | −0.545425 | − | 0.457666i | 0.327963 | − | 0.944690i | \(-0.393638\pi\) |
−0.873388 | + | 0.487025i | \(0.838082\pi\) | |||||||
\(440\) | 1.78449 | − | 4.57833i | 0.00405566 | − | 0.0104053i | ||||
\(441\) | 85.0459 | + | 17.3667i | 0.192848 | + | 0.0393802i | ||||
\(442\) | 101.752 | + | 157.273i | 0.230207 | + | 0.355820i | ||||
\(443\) | 71.2504 | − | 404.081i | 0.160836 | − | 0.912147i | −0.792418 | − | 0.609978i | \(-0.791178\pi\) |
0.953254 | − | 0.302169i | \(-0.0977106\pi\) | |||||||
\(444\) | −586.470 | + | 213.842i | −1.32088 | + | 0.481626i | ||||
\(445\) | −3.43874 | + | 9.44787i | −0.00772751 | + | 0.0212312i | ||||
\(446\) | −253.835 | − | 78.0807i | −0.569138 | − | 0.175069i | ||||
\(447\) | 92.4827 | + | 364.703i | 0.206896 | + | 0.815890i | ||||
\(448\) | −51.7904 | − | 398.143i | −0.115604 | − | 0.888712i | ||||
\(449\) | −709.114 | + | 409.407i | −1.57932 | + | 0.911820i | −0.584365 | + | 0.811491i | \(0.698656\pi\) |
−0.994954 | + | 0.100330i | \(0.968010\pi\) | |||||||
\(450\) | 163.852 | + | 418.949i | 0.364115 | + | 0.930997i | ||||
\(451\) | −275.044 | − | 158.797i | −0.609854 | − | 0.352099i | ||||
\(452\) | 481.509 | − | 708.620i | 1.06529 | − | 1.56774i | ||||
\(453\) | −313.111 | + | 140.910i | −0.691193 | + | 0.311060i | ||||
\(454\) | 77.3125 | + | 337.513i | 0.170292 | + | 0.743420i | ||||
\(455\) | −3.69883 | − | 4.40809i | −0.00812930 | − | 0.00968812i | ||||
\(456\) | −445.002 | − | 136.603i | −0.975883 | − | 0.299567i | ||||
\(457\) | 640.017 | − | 232.947i | 1.40048 | − | 0.509731i | 0.472156 | − | 0.881515i | \(-0.343476\pi\) |
0.928319 | + | 0.371784i | \(0.121254\pi\) | |||||||
\(458\) | −12.9163 | − | 254.804i | −0.0282015 | − | 0.556340i | ||||
\(459\) | −184.770 | + | 170.429i | −0.402549 | + | 0.371306i | ||||
\(460\) | 0.0274044 | + | 0.269613i | 5.95748e−5 | + | 0.000586116i | ||||
\(461\) | 291.510 | − | 106.101i | 0.632343 | − | 0.230154i | −0.00590777 | − | 0.999983i | \(-0.501881\pi\) |
0.638251 | + | 0.769829i | \(0.279658\pi\) | |||||||
\(462\) | 251.604 | − | 31.4782i | 0.544597 | − | 0.0681347i | ||||
\(463\) | −71.4292 | + | 59.9362i | −0.154275 | + | 0.129452i | −0.716658 | − | 0.697425i | \(-0.754329\pi\) |
0.562383 | + | 0.826877i | \(0.309885\pi\) | |||||||
\(464\) | 33.6367 | + | 84.9235i | 0.0724928 | + | 0.183025i | ||||
\(465\) | 0.317592 | − | 3.14263i | 0.000682993 | − | 0.00675835i | ||||
\(466\) | −462.985 | + | 612.218i | −0.993529 | + | 1.31377i | ||||
\(467\) | 6.25150 | − | 10.8279i | 0.0133865 | − | 0.0231861i | −0.859255 | − | 0.511548i | \(-0.829072\pi\) |
0.872641 | + | 0.488362i | \(0.162405\pi\) | |||||||
\(468\) | −361.162 | + | 26.9180i | −0.771713 | + | 0.0575171i | ||||
\(469\) | −409.659 | + | 236.516i | −0.873472 | + | 0.504300i | ||||
\(470\) | −3.45517 | − | 0.430247i | −0.00735142 | − | 0.000915419i | ||||
\(471\) | 601.041 | + | 617.432i | 1.27610 | + | 1.31090i | ||||
\(472\) | −473.614 | − | 94.5883i | −1.00342 | − | 0.200399i | ||||
\(473\) | −77.7461 | + | 213.606i | −0.164368 | + | 0.451597i | ||||
\(474\) | −851.780 | − | 194.595i | −1.79700 | − | 0.410538i | ||||
\(475\) | −477.367 | − | 84.1727i | −1.00498 | − | 0.177206i | ||||
\(476\) | 189.472 | − | 136.670i | 0.398049 | − | 0.287123i | ||||
\(477\) | 103.662 | − | 262.607i | 0.217322 | − | 0.550538i | ||||
\(478\) | −535.191 | − | 273.849i | −1.11965 | − | 0.572905i | ||||
\(479\) | −298.537 | + | 355.783i | −0.623251 | + | 0.742761i | −0.981626 | − | 0.190816i | \(-0.938886\pi\) |
0.358375 | + | 0.933578i | \(0.383331\pi\) | |||||||
\(480\) | 8.15737 | + | 3.17406i | 0.0169945 | + | 0.00661261i | ||||
\(481\) | −90.8747 | − | 515.376i | −0.188929 | − | 1.07147i | ||||
\(482\) | −92.6605 | + | 86.1112i | −0.192242 | + | 0.178654i | ||||
\(483\) | −11.5622 | + | 7.86633i | −0.0239383 | + | 0.0162864i | ||||
\(484\) | 272.317 | − | 131.665i | 0.562638 | − | 0.272036i | ||||
\(485\) | −8.54297 | −0.0176144 | ||||||||
\(486\) | −117.974 | − | 471.464i | −0.242744 | − | 0.970090i | ||||
\(487\) | −407.942 | −0.837663 | −0.418831 | − | 0.908064i | \(-0.637560\pi\) | ||||
−0.418831 | + | 0.908064i | \(0.637560\pi\) | |||||||
\(488\) | −232.570 | − | 424.696i | −0.476577 | − | 0.870280i | ||||
\(489\) | −561.400 | + | 381.947i | −1.14806 | + | 0.781079i | ||||
\(490\) | 1.28832 | − | 1.19726i | 0.00262923 | − | 0.00244339i | ||||
\(491\) | −88.2990 | − | 500.768i | −0.179835 | − | 1.01989i | −0.932414 | − | 0.361393i | \(-0.882301\pi\) |
0.752579 | − | 0.658502i | \(-0.228810\pi\) | |||||||
\(492\) | 282.586 | − | 490.108i | 0.574362 | − | 0.996155i | ||||
\(493\) | −34.1639 | + | 40.7149i | −0.0692979 | + | 0.0825861i | ||||
\(494\) | 177.763 | − | 347.407i | 0.359844 | − | 0.703254i | ||||
\(495\) | −2.02974 | + | 5.14192i | −0.00410049 | + | 0.0103877i | ||||
\(496\) | 122.685 | + | 138.146i | 0.247349 | + | 0.278521i | ||||
\(497\) | 164.036 | + | 28.9240i | 0.330053 | + | 0.0581973i | ||||
\(498\) | 188.996 | + | 43.1775i | 0.379511 | + | 0.0867019i | ||||
\(499\) | −99.3941 | + | 273.083i | −0.199187 | + | 0.547261i | −0.998564 | − | 0.0535682i | \(-0.982941\pi\) |
0.799378 | + | 0.600829i | \(0.205163\pi\) | |||||||
\(500\) | 17.6759 | + | 4.47143i | 0.0353517 | + | 0.00894286i | ||||
\(501\) | 363.027 | + | 372.927i | 0.724605 | + | 0.744365i | ||||
\(502\) | 9.36011 | − | 75.1678i | 0.0186456 | − | 0.149737i | ||||
\(503\) | −615.153 | + | 355.159i | −1.22297 | + | 0.706081i | −0.965550 | − | 0.260219i | \(-0.916205\pi\) |
−0.257418 | + | 0.966300i | \(0.582872\pi\) | |||||||
\(504\) | 56.3324 | + | 448.158i | 0.111771 | + | 0.889202i | ||||
\(505\) | −6.72404 | + | 11.6464i | −0.0133149 | + | 0.0230621i | ||||
\(506\) | 6.03858 | − | 7.98499i | 0.0119340 | − | 0.0157806i | ||||
\(507\) | −20.4496 | + | 202.353i | −0.0403345 | + | 0.399118i | ||||
\(508\) | −86.5483 | − | 305.778i | −0.170371 | − | 0.601924i | ||||
\(509\) | 335.998 | − | 281.936i | 0.660114 | − | 0.553901i | −0.250007 | − | 0.968244i | \(-0.580433\pi\) |
0.910121 | + | 0.414343i | \(0.135989\pi\) | |||||||
\(510\) | 0.632283 | + | 5.05380i | 0.00123977 | + | 0.00990942i | ||||
\(511\) | −132.549 | + | 48.2439i | −0.259391 | + | 0.0944107i | ||||
\(512\) | −459.723 | + | 225.386i | −0.897896 | + | 0.440208i | ||||
\(513\) | 499.960 | + | 155.835i | 0.974582 | + | 0.303772i | ||||
\(514\) | 12.1915 | + | 240.505i | 0.0237188 | + | 0.467908i | ||||
\(515\) | −17.0044 | + | 6.18908i | −0.0330182 | + | 0.0120176i | ||||
\(516\) | −380.583 | − | 138.271i | −0.737563 | − | 0.267968i | ||||
\(517\) | 82.6783 | + | 98.5322i | 0.159919 | + | 0.190585i | ||||
\(518\) | −636.206 | + | 145.733i | −1.22820 | + | 0.281338i | ||||
\(519\) | −610.363 | + | 274.684i | −1.17604 | + | 0.529255i | ||||
\(520\) | −3.81166 | + | 6.27049i | −0.00733012 | + | 0.0120586i | ||||
\(521\) | −327.212 | − | 188.916i | −0.628046 | − | 0.362603i | 0.151949 | − | 0.988388i | \(-0.451445\pi\) |
−0.779995 | + | 0.625786i | \(0.784778\pi\) | |||||||
\(522\) | −37.4290 | − | 95.7013i | −0.0717030 | − | 0.183336i | ||||
\(523\) | 512.125 | − | 295.676i | 0.979207 | − | 0.565345i | 0.0771761 | − | 0.997017i | \(-0.475410\pi\) |
0.902031 | + | 0.431672i | \(0.142076\pi\) | |||||||
\(524\) | 44.4981 | − | 606.501i | 0.0849200 | − | 1.15744i | ||||
\(525\) | 115.613 | + | 455.918i | 0.220216 | + | 0.868414i | ||||
\(526\) | −221.085 | + | 718.734i | −0.420314 | + | 1.36641i | ||||
\(527\) | −36.7693 | + | 101.023i | −0.0697710 | + | 0.191694i | ||||
\(528\) | −140.921 | − | 291.030i | −0.266896 | − | 0.551194i | ||||
\(529\) | 91.7640 | − | 520.420i | 0.173467 | − | 0.983780i | ||||
\(530\) | −3.10737 | − | 4.80291i | −0.00586296 | − | 0.00906209i | ||||
\(531\) | 532.352 | + | 108.708i | 1.00255 | + | 0.204723i | ||||
\(532\) | −443.949 | − | 199.483i | −0.834491 | − | 0.374968i | ||||
\(533\) | 363.322 | + | 304.863i | 0.681654 | + | 0.571976i | ||||
\(534\) | 301.718 | + | 588.816i | 0.565014 | + | 1.10265i | ||||
\(535\) | −1.53357 | − | 8.69732i | −0.00286649 | − | 0.0162567i | ||||
\(536\) | 453.221 | + | 398.084i | 0.845561 | + | 0.742694i | ||||
\(537\) | 339.788 | − | 703.805i | 0.632753 | − | 1.31062i | ||||
\(538\) | −261.810 | + | 110.603i | −0.486635 | + | 0.205582i | ||||
\(539\) | −64.9708 | −0.120540 | ||||||||
\(540\) | −9.16156 | − | 3.61035i | −0.0169659 | − | 0.00668583i | ||||
\(541\) | 36.7562i | 0.0679412i | 0.999423 | + | 0.0339706i | \(0.0108153\pi\) | ||||
−0.999423 | + | 0.0339706i | \(0.989185\pi\) | |||||||
\(542\) | 264.919 | − | 111.917i | 0.488780 | − | 0.206488i | ||||
\(543\) | 62.4525 | + | 844.522i | 0.115014 | + | 1.55529i | ||||
\(544\) | −242.569 | − | 172.962i | −0.445898 | − | 0.317944i | ||||
\(545\) | 11.4303 | − | 2.01547i | 0.0209730 | − | 0.00369811i | ||||
\(546\) | −378.191 | − | 18.9516i | −0.692658 | − | 0.0347099i | ||||
\(547\) | 574.438 | − | 684.589i | 1.05016 | − | 1.25153i | 0.0832209 | − | 0.996531i | \(-0.473479\pi\) |
0.966940 | − | 0.255002i | \(-0.0820763\pi\) | |||||||
\(548\) | −734.331 | − | 329.963i | −1.34002 | − | 0.602122i | ||||
\(549\) | 259.578 | + | 478.907i | 0.472820 | + | 0.872326i | ||||
\(550\) | −182.904 | − | 282.706i | −0.332553 | − | 0.514011i | ||||
\(551\) | 109.046 | + | 19.2277i | 0.197906 | + | 0.0348961i | ||||
\(552\) | 14.2301 | + | 10.7485i | 0.0257792 | + | 0.0194719i | ||||
\(553\) | −858.444 | − | 312.448i | −1.55234 | − | 0.565005i | ||||
\(554\) | −11.6206 | + | 37.7778i | −0.0209758 | + | 0.0681910i | ||||
\(555\) | 3.86735 | − | 13.6937i | 0.00696820 | − | 0.0246733i | ||||
\(556\) | −69.7304 | − | 5.11602i | −0.125414 | − | 0.00920148i | ||||
\(557\) | −405.373 | − | 702.126i | −0.727779 | − | 1.26055i | −0.957820 | − | 0.287369i | \(-0.907219\pi\) |
0.230041 | − | 0.973181i | \(-0.426114\pi\) | |||||||
\(558\) | −137.349 | − | 156.008i | −0.246146 | − | 0.279585i | ||||
\(559\) | 169.732 | − | 293.984i | 0.303634 | − | 0.525910i | ||||
\(560\) | 8.05110 | + | 4.35183i | 0.0143770 | + | 0.00777112i | ||||
\(561\) | 109.982 | − | 152.658i | 0.196046 | − | 0.272118i | ||||
\(562\) | −26.0112 | + | 5.95827i | −0.0462833 | + | 0.0106019i | ||||
\(563\) | 381.155 | − | 319.827i | 0.677007 | − | 0.568077i | −0.238123 | − | 0.971235i | \(-0.576532\pi\) |
0.915130 | + | 0.403158i | \(0.132088\pi\) | |||||||
\(564\) | −175.433 | + | 147.379i | −0.311052 | + | 0.261310i | ||||
\(565\) | 6.67929 | + | 18.3512i | 0.0118217 | + | 0.0324800i | ||||
\(566\) | 11.1445 | + | 219.851i | 0.0196899 | + | 0.388430i | ||||
\(567\) | −61.1995 | − | 504.446i | −0.107936 | − | 0.889675i | ||||
\(568\) | −32.1503 | − | 209.963i | −0.0566027 | − | 0.369654i | ||||
\(569\) | −143.082 | − | 393.114i | −0.251462 | − | 0.690886i | −0.999625 | − | 0.0273713i | \(-0.991286\pi\) |
0.748163 | − | 0.663514i | \(-0.230936\pi\) | |||||||
\(570\) | 8.45953 | − | 6.40515i | 0.0148413 | − | 0.0112371i | ||||
\(571\) | −444.304 | − | 529.501i | −0.778115 | − | 0.927322i | 0.220731 | − | 0.975335i | \(-0.429156\pi\) |
−0.998847 | + | 0.0480130i | \(0.984711\pi\) | |||||||
\(572\) | 260.834 | − | 73.8272i | 0.456003 | − | 0.129069i | ||||
\(573\) | 197.159 | − | 273.663i | 0.344082 | − | 0.477596i | ||||
\(574\) | 356.793 | − | 471.797i | 0.621590 | − | 0.821946i | ||||
\(575\) | 16.0823 | + | 9.28510i | 0.0279691 | + | 0.0161480i | ||||
\(576\) | 518.277 | − | 251.327i | 0.899786 | − | 0.436332i | ||||
\(577\) | 331.076 | + | 573.440i | 0.573788 | + | 0.993830i | 0.996172 | + | 0.0874130i | \(0.0278600\pi\) |
−0.422384 | + | 0.906417i | \(0.638807\pi\) | |||||||
\(578\) | −50.0020 | + | 401.548i | −0.0865086 | + | 0.694720i | ||||
\(579\) | −174.056 | − | 49.1567i | −0.300615 | − | 0.0848994i | ||||
\(580\) | −2.01853 | − | 0.510624i | −0.00348022 | − | 0.000880386i | ||||
\(581\) | 190.475 | + | 69.3273i | 0.327840 | + | 0.119324i | ||||
\(582\) | −382.456 | + | 412.022i | −0.657142 | + | 0.707942i | ||||
\(583\) | −36.6957 | + | 208.112i | −0.0629429 | + | 0.356967i | ||||
\(584\) | 112.481 | + | 140.371i | 0.192605 | + | 0.240361i | ||||
\(585\) | 4.31850 | − | 7.03575i | 0.00738205 | − | 0.0120269i | ||||
\(586\) | 23.5712 | − | 46.0659i | 0.0402238 | − | 0.0786107i | ||||
\(587\) | 816.508 | + | 685.132i | 1.39099 | + | 1.16718i | 0.964939 | + | 0.262474i | \(0.0845383\pi\) |
0.426046 | + | 0.904701i | \(0.359906\pi\) | |||||||
\(588\) | −0.0669439 | − | 115.735i | −0.000113850 | − | 0.196828i | ||||
\(589\) | 220.569 | − | 38.8922i | 0.374480 | − | 0.0660309i | ||||
\(590\) | 8.06435 | − | 7.49435i | 0.0136684 | − | 0.0127023i | ||||
\(591\) | −841.413 | + | 62.2226i | −1.42371 | + | 0.105284i | ||||
\(592\) | 436.218 | + | 708.852i | 0.736855 | + | 1.19738i | ||||
\(593\) | − | 678.148i | − | 1.14359i | −0.820397 | − | 0.571794i | \(-0.806248\pi\) | ||
0.820397 | − | 0.571794i | \(-0.193752\pi\) | |||||||
\(594\) | 157.123 | + | 328.090i | 0.264517 | + | 0.552340i | ||||
\(595\) | 5.32527i | 0.00895004i | ||||||||
\(596\) | 451.641 | − | 218.369i | 0.757787 | − | 0.366391i | ||||
\(597\) | 284.007 | − | 588.266i | 0.475724 | − | 0.985369i | ||||
\(598\) | −10.9515 | + | 10.1774i | −0.0183135 | + | 0.0170191i | ||||
\(599\) | −966.941 | + | 170.498i | −1.61426 | + | 0.284637i | −0.906623 | − | 0.421941i | \(-0.861349\pi\) |
−0.707635 | + | 0.706578i | \(0.750238\pi\) | |||||||
\(600\) | 503.405 | − | 326.104i | 0.839008 | − | 0.543507i | ||||
\(601\) | 541.659 | + | 454.506i | 0.901263 | + | 0.756249i | 0.970437 | − | 0.241355i | \(-0.0775919\pi\) |
−0.0691738 | + | 0.997605i | \(0.522036\pi\) | |||||||
\(602\) | −376.898 | − | 192.853i | −0.626077 | − | 0.320353i | ||||
\(603\) | −507.937 | − | 450.039i | −0.842351 | − | 0.746333i | ||||
\(604\) | 267.824 | + | 371.295i | 0.443417 | + | 0.614726i | ||||
\(605\) | −1.19728 | + | 6.79009i | −0.00197897 | + | 0.0112233i | ||||
\(606\) | 260.672 | + | 845.688i | 0.430153 | + | 1.39553i | ||||
\(607\) | 607.829 | + | 221.232i | 1.00137 | + | 0.364467i | 0.790111 | − | 0.612964i | \(-0.210023\pi\) |
0.211255 | + | 0.977431i | \(0.432245\pi\) | |||||||
\(608\) | −59.3852 | + | 617.815i | −0.0976731 | + | 1.01614i | ||||
\(609\) | −26.4098 | − | 104.146i | −0.0433658 | − | 0.171012i | ||||
\(610\) | 10.9527 | + | 1.36386i | 0.0179553 | + | 0.00223584i | ||||
\(611\) | −96.0417 | − | 166.349i | −0.157188 | − | 0.272257i | ||||
\(612\) | 272.048 | + | 195.757i | 0.444523 | + | 0.319864i | ||||
\(613\) | 80.2722 | + | 46.3452i | 0.130950 | + | 0.0756039i | 0.564044 | − | 0.825745i | \(-0.309245\pi\) |
−0.433094 | + | 0.901349i | \(0.642578\pi\) | |||||||
\(614\) | −293.238 | + | 387.757i | −0.477587 | + | 0.631527i | ||||
\(615\) | 5.29231 | + | 11.7598i | 0.00860539 | + | 0.0191217i | ||||
\(616\) | −108.427 | − | 320.229i | −0.176018 | − | 0.519852i | ||||
\(617\) | 500.074 | + | 595.965i | 0.810492 | + | 0.965907i | 0.999872 | − | 0.0159968i | \(-0.00509217\pi\) |
−0.189380 | + | 0.981904i | \(0.560648\pi\) | |||||||
\(618\) | −462.765 | + | 1097.19i | −0.748810 | + | 1.77538i | ||||
\(619\) | 198.813 | + | 546.234i | 0.321184 | + | 0.882445i | 0.990257 | + | 0.139249i | \(0.0444689\pi\) |
−0.669074 | + | 0.743196i | \(0.733309\pi\) | |||||||
\(620\) | −4.18993 | + | 0.425879i | −0.00675796 | + | 0.000686902i | ||||
\(621\) | −15.9566 | − | 12.1610i | −0.0256950 | − | 0.0195829i | ||||
\(622\) | −20.8808 | − | 411.922i | −0.0335704 | − | 0.662254i | ||||
\(623\) | 236.597 | + | 650.046i | 0.379771 | + | 1.04341i | ||||
\(624\) | 131.780 | + | 464.555i | 0.211185 | + | 0.744480i | ||||
\(625\) | 478.300 | − | 401.342i | 0.765280 | − | 0.642146i | ||||
\(626\) | −99.2984 | − | 433.494i | −0.158624 | − | 0.692482i | ||||
\(627\) | −389.993 | − | 39.4123i | −0.621998 | − | 0.0628586i | ||||
\(628\) | 645.709 | − | 950.268i | 1.02820 | − | 1.51317i | ||||
\(629\) | −242.152 | + | 419.419i | −0.384979 | + | 0.666803i | ||||
\(630\) | −9.03629 | − | 4.93482i | −0.0143433 | − | 0.00783304i | ||||
\(631\) | −224.402 | − | 388.675i | −0.355629 | − | 0.615967i | 0.631597 | − | 0.775297i | \(-0.282400\pi\) |
−0.987225 | + | 0.159330i | \(0.949067\pi\) | |||||||
\(632\) | −26.3139 | + | 1164.67i | −0.0416359 | + | 1.84283i | ||||
\(633\) | 362.671 | + | 372.561i | 0.572940 | + | 0.588564i | ||||
\(634\) | 28.3847 | + | 8.73125i | 0.0447708 | + | 0.0137717i | ||||
\(635\) | 6.80704 | + | 2.47756i | 0.0107198 | + | 0.00390167i | ||||
\(636\) | −370.754 | − | 65.1528i | −0.582946 | − | 0.102442i | ||||
\(637\) | 95.5511 | + | 16.8482i | 0.150002 | + | 0.0264493i | ||||
\(638\) | 41.7811 | + | 64.5791i | 0.0654877 | + | 0.101221i | ||||
\(639\) | 35.1503 | + | 236.363i | 0.0550083 | + | 0.369894i | ||||
\(640\) | 1.96374 | − | 11.5044i | 0.00306834 | − | 0.0179757i | ||||
\(641\) | 455.126 | − | 542.398i | 0.710024 | − | 0.846174i | −0.283597 | − | 0.958944i | \(-0.591528\pi\) |
0.993621 | + | 0.112770i | \(0.0359722\pi\) | |||||||
\(642\) | −488.122 | − | 315.403i | −0.760315 | − | 0.491282i | ||||
\(643\) | 846.253 | − | 149.217i | 1.31610 | − | 0.232064i | 0.528860 | − | 0.848709i | \(-0.322620\pi\) |
0.787241 | + | 0.616645i | \(0.211509\pi\) | |||||||
\(644\) | 13.3683 | + | 12.9984i | 0.0207582 | + | 0.0201838i | ||||
\(645\) | 7.63134 | − | 5.19196i | 0.0118315 | − | 0.00804956i | ||||
\(646\) | −332.678 | + | 140.542i | −0.514981 | + | 0.217557i | ||||
\(647\) | − | 1280.16i | − | 1.97861i | −0.145855 | − | 0.989306i | \(-0.546593\pi\) | ||
0.145855 | − | 0.989306i | \(-0.453407\pi\) | |||||||
\(648\) | −584.275 | + | 280.227i | −0.901659 | + | 0.432448i | ||||
\(649\) | −406.690 | −0.626641 | ||||||||
\(650\) | 195.682 | + | 463.200i | 0.301048 | + | 0.712616i | ||||
\(651\) | −122.247 | − | 179.683i | −0.187783 | − | 0.276011i | ||||
\(652\) | 649.094 | + | 631.132i | 0.995543 | + | 0.967995i | ||||
\(653\) | −194.733 | − | 1104.39i | −0.298213 | − | 1.69125i | −0.653848 | − | 0.756626i | \(-0.726847\pi\) |
0.355635 | − | 0.934625i | \(-0.384265\pi\) | |||||||
\(654\) | 414.513 | − | 641.507i | 0.633813 | − | 0.980897i | ||||
\(655\) | 10.6190 | + | 8.91039i | 0.0162122 | + | 0.0136036i | ||||
\(656\) | −715.787 | − | 238.005i | −1.09114 | − | 0.362813i | ||||
\(657\) | −125.859 | − | 158.462i | −0.191567 | − | 0.241190i | ||||
\(658\) | −201.138 | + | 130.131i | −0.305681 | + | 0.197768i | ||||
\(659\) | −211.896 | + | 1201.72i | −0.321541 | + | 1.82355i | 0.211402 | + | 0.977399i | \(0.432197\pi\) |
−0.532943 | + | 0.846151i | \(0.678914\pi\) | |||||||
\(660\) | 7.25948 | + | 1.27571i | 0.0109992 | + | 0.00193290i | ||||
\(661\) | −375.073 | + | 1030.50i | −0.567433 | + | 1.55901i | 0.241065 | + | 0.970509i | \(0.422503\pi\) |
−0.808498 | + | 0.588499i | \(0.799719\pi\) | |||||||
\(662\) | −121.975 | + | 396.532i | −0.184252 | + | 0.598990i | ||||
\(663\) | −201.335 | + | 195.990i | −0.303673 | + | 0.295612i | ||||
\(664\) | 5.83864 | − | 258.422i | 0.00879313 | − | 0.389190i | ||||
\(665\) | 9.60796 | − | 5.54716i | 0.0144481 | − | 0.00834159i | ||||
\(666\) | −487.303 | − | 799.567i | −0.731686 | − | 1.20055i | ||||
\(667\) | −3.67370 | − | 2.12101i | −0.00550780 | − | 0.00317993i | ||||
\(668\) | 390.006 | − | 573.959i | 0.583842 | − | 0.859220i | ||||
\(669\) | 40.0538 | − | 396.341i | 0.0598712 | − | 0.592437i | ||||
\(670\) | −13.4031 | + | 3.07019i | −0.0200047 | + | 0.00458238i | ||||
\(671\) | −262.086 | − | 312.342i | −0.390591 | − | 0.465488i | ||||
\(672\) | 570.322 | − | 193.475i | 0.848694 | − | 0.287909i | ||||
\(673\) | 878.553 | − | 319.767i | 1.30543 | − | 0.475137i | 0.406667 | − | 0.913577i | \(-0.366691\pi\) |
0.898761 | + | 0.438440i | \(0.144469\pi\) | |||||||
\(674\) | −476.669 | + | 24.1629i | −0.707225 | + | 0.0358500i | ||||
\(675\) | −567.907 | + | 364.422i | −0.841344 | + | 0.539884i | ||||
\(676\) | 269.788 | − | 27.4222i | 0.399094 | − | 0.0405653i | ||||
\(677\) | −611.661 | + | 222.626i | −0.903487 | + | 0.328842i | −0.751649 | − | 0.659563i | \(-0.770741\pi\) |
−0.151838 | + | 0.988405i | \(0.548519\pi\) | |||||||
\(678\) | 1184.09 | + | 499.418i | 1.74644 | + | 0.736605i | ||||
\(679\) | −450.270 | + | 377.821i | −0.663137 | + | 0.556438i | ||||
\(680\) | 6.43223 | − | 2.17790i | 0.00945916 | − | 0.00320280i | ||||
\(681\) | −473.629 | + | 213.149i | −0.695491 | + | 0.312994i | ||||
\(682\) | 124.091 | + | 93.8428i | 0.181952 | + | 0.137599i | ||||
\(683\) | −357.892 | + | 619.887i | −0.524000 | + | 0.907594i | 0.475610 | + | 0.879656i | \(0.342227\pi\) |
−0.999610 | + | 0.0279381i | \(0.991106\pi\) | |||||||
\(684\) | 69.8046 | − | 694.748i | 0.102054 | − | 1.01571i | ||||
\(685\) | 15.8924 | − | 9.17548i | 0.0232006 | − | 0.0133949i | ||||
\(686\) | 90.9218 | − | 730.161i | 0.132539 | − | 1.06438i | ||||
\(687\) | 370.955 | − | 94.0681i | 0.539963 | − | 0.136926i | ||||
\(688\) | −78.7987 | + | 534.115i | −0.114533 | + | 0.776330i | ||||
\(689\) | 107.935 | − | 296.549i | 0.156655 | − | 0.430405i | ||||
\(690\) | −0.388468 | + | 0.119740i | −0.000562997 | + | 0.000173537i | ||||
\(691\) | 143.931 | + | 25.3789i | 0.208294 | + | 0.0367278i | 0.276821 | − | 0.960921i | \(-0.410719\pi\) |
−0.0685277 | + | 0.997649i | \(0.521830\pi\) | |||||||
\(692\) | 522.083 | + | 723.784i | 0.754455 | + | 1.04593i | ||||
\(693\) | 120.426 | + | 360.780i | 0.173775 | + | 0.520606i | ||||
\(694\) | 116.811 | − | 228.288i | 0.168316 | − | 0.328945i | ||||
\(695\) | 1.02444 | − | 1.22088i | 0.00147402 | − | 0.00175667i | ||||
\(696\) | −114.994 | + | 74.4926i | −0.165221 | + | 0.107030i | ||||
\(697\) | −76.2172 | − | 432.249i | −0.109350 | − | 0.620157i | ||||
\(698\) | −718.392 | − | 773.031i | −1.02922 | − | 1.10749i | ||||
\(699\) | −1036.84 | − | 500.575i | −1.48333 | − | 0.716131i | ||||
\(700\) | 564.599 | − | 272.984i | 0.806570 | − | 0.389978i | ||||
\(701\) | −641.799 | −0.915548 | −0.457774 | − | 0.889069i | \(-0.651353\pi\) | ||||
−0.457774 | + | 0.889069i | \(0.651353\pi\) | |||||||
\(702\) | −145.997 | − | 523.259i | −0.207973 | − | 0.745383i | ||||
\(703\) | 1008.97 | 1.43523 | ||||||||
\(704\) | −342.450 | + | 261.931i | −0.486435 | + | 0.372061i | ||||
\(705\) | −0.385173 | − | 5.20855i | −0.000546345 | − | 0.00738802i | ||||
\(706\) | −358.672 | − | 385.952i | −0.508035 | − | 0.546674i | ||||
\(707\) | 160.672 | + | 911.217i | 0.227259 | + | 1.28885i | ||||
\(708\) | −0.419041 | − | 724.450i | −0.000591865 | − | 1.02323i | ||||
\(709\) | −522.751 | + | 622.991i | −0.737308 | + | 0.878689i | −0.996189 | − | 0.0872198i | \(-0.972202\pi\) |
0.258881 | + | 0.965909i | \(0.416646\pi\) | |||||||
\(710\) | 4.31032 | + | 2.20552i | 0.00607088 | + | 0.00310637i | ||||
\(711\) | 35.2523 | − | 1310.11i | 0.0495813 | − | 1.84263i | ||||
\(712\) | 688.407 | − | 551.631i | 0.966864 | − | 0.774762i | ||||
\(713\) | −8.45004 | − | 1.48997i | −0.0118514 | − | 0.00208972i | ||||
\(714\) | 256.835 | + | 238.405i | 0.359713 | + | 0.333900i | ||||
\(715\) | −2.11340 | + | 5.80653i | −0.00295581 | + | 0.00812102i | ||||
\(716\) | −1010.22 | − | 255.555i | −1.41093 | − | 0.356920i | ||||
\(717\) | 245.092 | − | 867.831i | 0.341829 | − | 1.21036i | ||||
\(718\) | 1040.64 | + | 129.584i | 1.44936 | + | 0.180479i | ||||
\(719\) | 533.266 | − | 307.881i | 0.741677 | − | 0.428208i | −0.0810016 | − | 0.996714i | \(-0.525812\pi\) |
0.822679 | + | 0.568506i | \(0.192479\pi\) | |||||||
\(720\) | −2.26499 | + | 12.9329i | −0.00314582 | + | 0.0179623i | ||||
\(721\) | −622.522 | + | 1078.24i | −0.863414 | + | 1.49548i | ||||
\(722\) | 24.2369 | + | 18.3289i | 0.0335691 | + | 0.0253863i | ||||
\(723\) | −153.951 | − | 110.913i | −0.212933 | − | 0.153407i | ||||
\(724\) | 1086.42 | − | 307.505i | 1.50059 | − | 0.424731i | ||||
\(725\) | −109.295 | + | 91.7097i | −0.150752 | + | 0.126496i | ||||
\(726\) | 273.882 | + | 361.726i | 0.377248 | + | 0.498246i | ||||
\(727\) | −1006.23 | + | 366.238i | −1.38409 | + | 0.503766i | −0.923414 | − | 0.383805i | \(-0.874613\pi\) |
−0.460671 | + | 0.887571i | \(0.652391\pi\) | |||||||
\(728\) | 76.4194 | + | 499.071i | 0.104972 | + | 0.685536i | ||||
\(729\) | 658.662 | − | 312.418i | 0.903515 | − | 0.428557i | ||||
\(730\) | −4.09499 | + | 0.207580i | −0.00560958 | + | 0.000284356i | ||||
\(731\) | −295.205 | + | 107.446i | −0.403837 | + | 0.146985i | ||||
\(732\) | 556.115 | − | 467.184i | 0.759720 | − | 0.638230i | ||||
\(733\) | −437.679 | − | 521.606i | −0.597107 | − | 0.711604i | 0.379848 | − | 0.925049i | \(-0.375976\pi\) |
−0.976955 | + | 0.213444i | \(0.931532\pi\) | |||||||
\(734\) | −73.8045 | − | 322.198i | −0.100551 | − | 0.438962i | ||||
\(735\) | 2.14048 | + | 1.54210i | 0.00291221 | + | 0.00209809i | ||||
\(736\) | 10.2330 | − | 21.4631i | 0.0139036 | − | 0.0291619i | ||||
\(737\) | 439.902 | + | 253.978i | 0.596882 | + | 0.344610i | ||||
\(738\) | 804.099 | + | 271.225i | 1.08956 | + | 0.367514i | ||||
\(739\) | −221.814 | + | 128.064i | −0.300154 | + | 0.173294i | −0.642512 | − | 0.766276i | \(-0.722108\pi\) |
0.342358 | + | 0.939570i | \(0.388774\pi\) | |||||||
\(740\) | −18.9216 | − | 1.38825i | −0.0255697 | − | 0.00187601i | ||||
\(741\) | 563.333 | + | 159.096i | 0.760234 | + | 0.214704i | ||||
\(742\) | −376.192 | − | 115.718i | −0.506997 | − | 0.155954i | ||||
\(743\) | −231.205 | + | 635.232i | −0.311178 | + | 0.854955i | 0.681241 | + | 0.732059i | \(0.261441\pi\) |
−0.992420 | + | 0.122896i | \(0.960782\pi\) | |||||||
\(744\) | −167.037 | + | 221.144i | −0.224513 | + | 0.297237i | ||||
\(745\) | −1.98570 | + | 11.2615i | −0.00266537 | + | 0.0151160i | ||||
\(746\) | 941.268 | − | 608.978i | 1.26175 | − | 0.816324i | ||||
\(747\) | −7.82193 | + | 290.694i | −0.0104711 | + | 0.389148i | ||||
\(748\) | −228.828 | − | 102.821i | −0.305919 | − | 0.137461i | ||||
\(749\) | −465.477 | − | 390.581i | −0.621464 | − | 0.521470i | ||||
\(750\) | −1.36877 | + | 27.3147i | −0.00182503 | + | 0.0364196i | ||||
\(751\) | 192.670 | + | 1092.69i | 0.256552 | + | 1.45498i | 0.792058 | + | 0.610446i | \(0.209010\pi\) |
−0.535506 | + | 0.844531i | \(0.679879\pi\) | |||||||
\(752\) | 239.442 | + | 189.727i | 0.318407 | + | 0.252297i | ||||
\(753\) | 113.313 | − | 8.37953i | 0.150482 | − | 0.0111282i | ||||
\(754\) | −44.6999 | − | 105.810i | −0.0592837 | − | 0.140331i | ||||
\(755\) | −10.4356 | −0.0138220 | ||||||||
\(756\) | −642.545 | + | 214.890i | −0.849927 | + | 0.284247i | ||||
\(757\) | 217.071i | 0.286751i | 0.989668 | + | 0.143376i | \(0.0457957\pi\) | ||||
−0.989668 | + | 0.143376i | \(0.954204\pi\) | |||||||
\(758\) | 456.263 | + | 1080.03i | 0.601931 | + | 1.42484i | ||||
\(759\) | 13.5233 | + | 6.52887i | 0.0178172 | + | 0.00860194i | ||||
\(760\) | −10.6296 | − | 9.33649i | −0.0139864 | − | 0.0122849i | ||||
\(761\) | 732.595 | − | 129.176i | 0.962674 | − | 0.169745i | 0.329843 | − | 0.944036i | \(-0.393004\pi\) |
0.632831 | + | 0.774290i | \(0.281893\pi\) | |||||||
\(762\) | 424.233 | − | 217.383i | 0.556736 | − | 0.285279i | ||||
\(763\) | 513.315 | − | 611.745i | 0.672759 | − | 0.801763i | ||||
\(764\) | −410.208 | − | 184.322i | −0.536921 | − | 0.241259i | ||||
\(765\) | −7.24675 | + | 2.41892i | −0.00947288 | + | 0.00316198i | ||||
\(766\) | −906.135 | + | 586.248i | −1.18294 | + | 0.765336i | ||||
\(767\) | 598.110 | + | 105.463i | 0.779804 | + | 0.137500i | ||||
\(768\) | −466.939 | − | 609.747i | −0.607994 | − | 0.793942i | ||||
\(769\) | −801.123 | − | 291.585i | −1.04177 | − | 0.379174i | −0.236221 | − | 0.971699i | \(-0.575909\pi\) |
−0.805552 | + | 0.592525i | \(0.798131\pi\) | |||||||
\(770\) | 7.36596 | + | 2.26580i | 0.00956618 | + | 0.00294259i | ||||
\(771\) | −350.138 | + | 88.7894i | −0.454135 | + | 0.115161i | ||||
\(772\) | −17.6456 | + | 240.506i | −0.0228570 | + | 0.311537i | ||||
\(773\) | 132.004 | + | 228.637i | 0.170768 | + | 0.295779i | 0.938689 | − | 0.344766i | \(-0.112042\pi\) |
−0.767921 | + | 0.640545i | \(0.778708\pi\) | |||||||
\(774\) | 91.2386 | − | 600.492i | 0.117879 | − | 0.775829i | ||||
\(775\) | −144.295 | + | 249.927i | −0.186188 | + | 0.322486i | ||||
\(776\) | 640.507 | + | 389.347i | 0.825396 | + | 0.501736i | ||||
\(777\) | −401.782 | − | 892.784i | −0.517094 | − | 1.14901i | ||||
\(778\) | 140.093 | + | 611.586i | 0.180068 | + | 0.786100i | ||||
\(779\) | −700.479 | + | 587.771i | −0.899202 | + | 0.754520i | ||||
\(780\) | −10.3455 | − | 3.75869i | −0.0132635 | − | 0.00481883i | ||||
\(781\) | −61.1750 | − | 168.077i | −0.0783291 | − | 0.215207i | ||||
\(782\) | 13.8179 | − | 0.700443i | 0.0176699 | − | 0.000895707i | ||||
\(783\) | 129.728 | − | 83.2456i | 0.165681 | − | 0.106316i | ||||
\(784\) | −151.157 | + | 31.0490i | −0.192802 | + | 0.0396033i | ||||
\(785\) | 8.95701 | + | 24.6092i | 0.0114102 | + | 0.0313493i | ||||
\(786\) | 905.140 | − | 113.242i | 1.15158 | − | 0.144074i | ||||
\(787\) | 156.151 | + | 186.093i | 0.198412 | + | 0.236459i | 0.856072 | − | 0.516856i | \(-0.172898\pi\) |
−0.657660 | + | 0.753315i | \(0.728453\pi\) | |||||||
\(788\) | 306.373 | + | 1082.42i | 0.388798 | + | 1.37363i | ||||
\(789\) | −1122.24 | − | 113.412i | −1.42235 | − | 0.143742i | ||||
\(790\) | −21.1803 | − | 16.0175i | −0.0268106 | − | 0.0202753i | ||||
\(791\) | 1163.64 | + | 671.829i | 1.47110 | + | 0.849341i | ||||
\(792\) | 386.523 | − | 293.009i | 0.488035 | − | 0.369960i | ||||
\(793\) | 304.448 | + | 527.319i | 0.383919 | + | 0.664967i | ||||
\(794\) | −362.901 | − | 45.1894i | −0.457054 | − | 0.0569136i | ||||
\(795\) | 6.14853 | − | 5.98531i | 0.00773399 | − | 0.00752869i | ||||
\(796\) | −844.382 | − | 213.602i | −1.06078 | − | 0.268344i | ||||
\(797\) | −350.881 | − | 127.710i | −0.440252 | − | 0.160239i | 0.112378 | − | 0.993666i | \(-0.464153\pi\) |
−0.552630 | + | 0.833427i | \(0.686376\pi\) | |||||||
\(798\) | 162.598 | − | 711.724i | 0.203757 | − | 0.891885i | ||||
\(799\) | −30.8678 | + | 175.060i | −0.0386330 | + | 0.219099i | ||||
\(800\) | −560.636 | − | 570.317i | −0.700795 | − | 0.712897i | ||||
\(801\) | −777.127 | + | 617.240i | −0.970196 | + | 0.770586i | ||||
\(802\) | 974.074 | + | 498.418i | 1.21456 | + | 0.621469i | ||||
\(803\) | 116.032 | + | 97.3625i | 0.144498 | + | 0.121248i | ||||
\(804\) | −451.965 | + | 783.873i | −0.562146 | + | 0.974967i | ||||
\(805\) | −0.418569 | + | 0.0738050i | −0.000519961 | + | 9.16832e-5i | ||||
\(806\) | −158.162 | − | 170.192i | −0.196231 | − | 0.211156i | ||||
\(807\) | −239.808 | − | 352.479i | −0.297160 | − | 0.436776i | ||||
\(808\) | 1034.92 | − | 566.736i | 1.28084 | − | 0.701406i | ||||
\(809\) | 480.285i | 0.593677i | 0.954928 | + | 0.296838i | \(0.0959323\pi\) | ||||
−0.954928 | + | 0.296838i | \(0.904068\pi\) | |||||||
\(810\) | 2.61082 | − | 14.5383i | 0.00322324 | − | 0.0179486i | ||||
\(811\) | − | 990.343i | − | 1.22114i | −0.791963 | − | 0.610569i | \(-0.790941\pi\) | ||
0.791963 | − | 0.610569i | \(-0.209059\pi\) | |||||||
\(812\) | −128.973 | + | 62.3583i | −0.158833 | + | 0.0767960i | ||||
\(813\) | 242.656 | + | 356.665i | 0.298470 | + | 0.438702i | ||||
\(814\) | 477.113 | + | 513.401i | 0.586134 | + | 0.630713i | ||||
\(815\) | −20.3235 | + | 3.58358i | −0.0249368 | + | 0.00439703i | ||||
\(816\) | 182.923 | − | 407.724i | 0.224170 | − | 0.499662i | ||||
\(817\) | 501.361 | + | 420.691i | 0.613660 | + | 0.514922i | ||||
\(818\) | 103.853 | − | 202.964i | 0.126960 | − | 0.248122i | ||||
\(819\) | −83.5502 | − | 561.820i | −0.102015 | − | 0.685983i | ||||
\(820\) | 13.9451 | − | 10.0589i | 0.0170062 | − | 0.0122670i | ||||
\(821\) | 167.537 | − | 950.148i | 0.204064 | − | 1.15731i | −0.694841 | − | 0.719163i | \(-0.744525\pi\) |
0.898905 | − | 0.438143i | \(-0.144364\pi\) | |||||||
\(822\) | 268.952 | − | 1177.25i | 0.327192 | − | 1.43218i | ||||
\(823\) | −273.922 | − | 99.6993i | −0.332833 | − | 0.121141i | 0.170197 | − | 0.985410i | \(-0.445559\pi\) |
−0.503031 | + | 0.864269i | \(0.667782\pi\) | |||||||
\(824\) | 1556.97 | + | 310.951i | 1.88952 | + | 0.377368i | ||||
\(825\) | 361.911 | − | 352.304i | 0.438680 | − | 0.427035i | ||||
\(826\) | 93.5982 | − | 751.655i | 0.113315 | − | 0.909994i | ||||
\(827\) | 319.762 | + | 553.845i | 0.386653 | + | 0.669703i | 0.991997 | − | 0.126261i | \(-0.0402976\pi\) |
−0.605344 | + | 0.795964i | \(0.706964\pi\) | |||||||
\(828\) | −11.6162 | + | 24.0962i | −0.0140292 | + | 0.0291017i | ||||
\(829\) | −536.488 | − | 309.742i | −0.647151 | − | 0.373633i | 0.140213 | − | 0.990121i | \(-0.455221\pi\) |
−0.787364 | + | 0.616489i | \(0.788555\pi\) | |||||||
\(830\) | 4.69959 | + | 3.55402i | 0.00566215 | + | 0.00428196i | ||||
\(831\) | −58.9866 | − | 5.96113i | −0.0709827 | − | 0.00717344i | ||||
\(832\) | 571.557 | − | 296.412i | 0.686968 | − | 0.356264i | ||||
\(833\) | −57.7161 | − | 68.7833i | −0.0692870 | − | 0.0825730i | ||||
\(834\) | −13.0197 | − | 104.065i | −0.0156111 | − | 0.124779i | ||||
\(835\) | 5.41000 | + | 14.8639i | 0.00647904 | + | 0.0178010i | ||||
\(836\) | 52.8505 | + | 519.960i | 0.0632183 | + | 0.621962i | ||||
\(837\) | 188.988 | − | 247.974i | 0.225792 | − | 0.296266i | ||||
\(838\) | 307.222 | − | 15.5734i | 0.366613 | − | 0.0185840i | ||||
\(839\) | 371.108 | + | 1019.61i | 0.442322 | + | 1.21527i | 0.937961 | + | 0.346741i | \(0.112712\pi\) |
−0.495639 | + | 0.868529i | \(0.665066\pi\) | |||||||
\(840\) | −4.02855 | + | 13.1236i | −0.00479589 | + | 0.0156233i | ||||
\(841\) | −619.277 | + | 519.635i | −0.736358 | + | 0.617877i | ||||
\(842\) | 34.9430 | − | 8.00424i | 0.0415000 | − | 0.00950622i | ||||
\(843\) | −16.4268 | − | 36.5013i | −0.0194861 | − | 0.0432993i | ||||
\(844\) | 389.624 | − | 573.396i | 0.461640 | − | 0.679379i | ||||
\(845\) | −3.09070 | + | 5.35324i | −0.00365763 | + | 0.00633520i | ||||
\(846\) | −268.449 | − | 214.603i | −0.317316 | − | 0.253668i | ||||
\(847\) | 237.194 | + | 410.833i | 0.280040 | + | 0.485044i | ||||
\(848\) | 14.0809 | + | 501.716i | 0.0166049 | + | 0.591646i | ||||
\(849\) | −320.070 | + | 81.1644i | −0.376996 | + | 0.0956001i | ||||
\(850\) | 136.815 | − | 444.776i | 0.160959 | − | 0.523266i | ||||
\(851\) | −36.3226 | − | 13.2203i | −0.0426823 | − | 0.0155351i | ||||
\(852\) | 299.338 | − | 109.146i | 0.351336 | − | 0.128106i | ||||
\(853\) | 883.681 | + | 155.817i | 1.03597 | + | 0.182669i | 0.665672 | − | 0.746244i | \(-0.268145\pi\) |
0.370296 | + | 0.928914i | \(0.379256\pi\) | |||||||
\(854\) | 637.597 | − | 412.510i | 0.746601 | − | 0.483033i | ||||
\(855\) | 11.9129 | + | 10.5550i | 0.0139333 | + | 0.0123450i | ||||
\(856\) | −281.402 | + | 721.972i | −0.328741 | + | 0.843425i | ||||
\(857\) | 620.387 | − | 739.349i | 0.723906 | − | 0.862717i | −0.271098 | − | 0.962552i | \(-0.587387\pi\) |
0.995004 | + | 0.0998344i | \(0.0318313\pi\) | |||||||
\(858\) | 185.431 | + | 361.878i | 0.216121 | + | 0.421769i | ||||
\(859\) | 64.8908 | − | 11.4420i | 0.0755423 | − | 0.0133201i | −0.135749 | − | 0.990743i | \(-0.543344\pi\) |
0.211292 | + | 0.977423i | \(0.432233\pi\) | |||||||
\(860\) | −8.82340 | − | 8.57924i | −0.0102598 | − | 0.00997586i | ||||
\(861\) | 799.029 | + | 385.761i | 0.928025 | + | 0.448039i | ||||
\(862\) | −388.316 | − | 919.188i | −0.450483 | − | 1.06634i | ||||
\(863\) | − | 1476.76i | − | 1.71119i | −0.517646 | − | 0.855595i | \(-0.673191\pi\) | ||
0.517646 | − | 0.855595i | \(-0.326809\pi\) | |||||||
\(864\) | 522.344 | + | 688.224i | 0.604565 | + | 0.796556i | ||||
\(865\) | −20.3426 | −0.0235175 | ||||||||
\(866\) | −71.2326 | + | 30.0926i | −0.0822548 | + | 0.0347490i | ||||
\(867\) | −605.322 | + | 44.7636i | −0.698179 | + | 0.0516305i | ||||
\(868\) | −202.002 | + | 207.751i | −0.232721 | + | 0.239344i | ||||
\(869\) | 170.345 | + | 966.076i | 0.196024 | + | 1.11171i | ||||
\(870\) | 0.156310 | − | 3.11926i | 0.000179666 | − | 0.00358535i | ||||
\(871\) | −581.092 | − | 487.594i | −0.667155 | − | 0.559810i | ||||
\(872\) | −948.840 | − | 369.828i | −1.08812 | − | 0.424115i | ||||
\(873\) | −718.675 | − | 441.118i | −0.823225 | − | 0.505290i | ||||
\(874\) | −15.6573 | − | 24.2008i | −0.0179146 | − | 0.0276897i | ||||
\(875\) | −4.96550 | + | 28.1607i | −0.00567485 | + | 0.0321837i | ||||
\(876\) | −173.315 | + | 206.792i | −0.197849 | + | 0.236064i | ||||
\(877\) | −114.015 | + | 313.254i | −0.130006 | + | 0.357189i | −0.987568 | − | 0.157192i | \(-0.949756\pi\) |
0.857562 | + | 0.514380i | \(0.171978\pi\) | |||||||
\(878\) | −597.508 | − | 183.796i | −0.680533 | − | 0.209335i | ||||
\(879\) | 74.6974 | + | 21.0959i | 0.0849800 | + | 0.0239999i | ||||
\(880\) | −0.275709 | − | 9.82376i | −0.000313306 | − | 0.0111634i | ||||
\(881\) | −1221.07 | + | 704.984i | −1.38600 | + | 0.800209i | −0.992862 | − | 0.119269i | \(-0.961945\pi\) |
−0.393141 | + | 0.919478i | \(0.628611\pi\) | |||||||
\(882\) | 170.201 | − | 34.1966i | 0.192971 | − | 0.0387716i | ||||
\(883\) | 416.367 | + | 240.390i | 0.471537 | + | 0.272242i | 0.716883 | − | 0.697193i | \(-0.245568\pi\) |
−0.245346 | + | 0.969436i | \(0.578901\pi\) | |||||||
\(884\) | 309.868 | + | 210.556i | 0.350530 | + | 0.238186i | ||||
\(885\) | 13.3985 | + | 9.65288i | 0.0151395 | + | 0.0109072i | ||||
\(886\) | −183.232 | − | 799.911i | −0.206808 | − | 0.902835i | ||||
\(887\) | −175.437 | − | 209.078i | −0.197787 | − | 0.235713i | 0.658030 | − | 0.752991i | \(-0.271390\pi\) |
−0.855817 | + | 0.517278i | \(0.826945\pi\) | |||||||
\(888\) | −914.045 | + | 850.426i | −1.02933 | + | 0.957687i | ||||
\(889\) | 468.348 | − | 170.465i | 0.526826 | − | 0.191749i | ||||
\(890\) | 1.01801 | + | 20.0826i | 0.00114383 | + | 0.0225648i | ||||
\(891\) | −436.256 | + | 327.757i | −0.489625 | + | 0.367853i | ||||
\(892\) | −528.423 | + | 53.7108i | −0.592403 | + | 0.0602138i | ||||
\(893\) | 348.000 | − | 126.662i | 0.389698 | − | 0.141838i | ||||
\(894\) | 454.237 | + | 599.928i | 0.508095 | + | 0.671061i | ||||
\(895\) | 18.1959 | − | 15.2682i | 0.0203306 | − | 0.0170594i | ||||
\(896\) | −405.294 | − | 693.207i | −0.452337 | − | 0.773669i | ||||
\(897\) | −18.1953 | − | 13.1087i | −0.0202846 | − | 0.0146140i | ||||
\(898\) | −987.788 | + | 1306.18i | −1.09999 | + | 1.45454i | ||||
\(899\) | 32.9617 | − | 57.0913i | 0.0366648 | − | 0.0635053i | ||||
\(900\) | 627.943 | + | 644.321i | 0.697714 | + | 0.715912i | ||||
\(901\) | −252.922 | + | 146.025i | −0.280713 | + | 0.162070i | ||||
\(902\) | −630.319 | − | 78.4891i | −0.698802 | − | 0.0870168i | ||||
\(903\) | 172.601 | − | 611.154i | 0.191142 | − | 0.676804i | ||||
\(904\) | 335.580 | − | 1680.29i | 0.371217 | − | 1.85872i | ||||
\(905\) | −8.80274 | + | 24.1853i | −0.00972679 | + | 0.0267241i | ||||
\(906\) | −467.186 | + | 503.302i | −0.515658 | + | 0.555521i | ||||
\(907\) | 185.139 | + | 32.6450i | 0.204123 | + | 0.0359923i | 0.274774 | − | 0.961509i | \(-0.411397\pi\) |
−0.0706518 | + | 0.997501i | \(0.522508\pi\) | |||||||
\(908\) | 405.125 | + | 561.642i | 0.446173 | + | 0.618548i | ||||
\(909\) | −1167.02 | + | 632.552i | −1.28385 | + | 0.695876i | ||||
\(910\) | −10.2454 | − | 5.24240i | −0.0112587 | − | 0.00576087i | ||||
\(911\) | 632.066 | − | 753.267i | 0.693816 | − | 0.826857i | −0.297996 | − | 0.954567i | \(-0.596318\pi\) |
0.991812 | + | 0.127710i | \(0.0407626\pi\) | |||||||
\(912\) | −926.167 | + | 94.6801i | −1.01553 | + | 0.103816i | ||||
\(913\) | −37.7969 | − | 214.357i | −0.0413986 | − | 0.234783i | ||||
\(914\) | 997.828 | − | 927.300i | 1.09172 | − | 1.01455i | ||||
\(915\) | 1.22098 | + | 16.5109i | 0.00133440 | + | 0.0180447i | ||||
\(916\) | −222.112 | − | 459.383i | −0.242481 | − | 0.501510i | ||||
\(917\) | 953.761 | 1.04009 | ||||||||
\(918\) | −207.764 | + | 457.798i | −0.226322 | + | 0.498691i | ||||
\(919\) | 23.3372 | 0.0253941 | 0.0126971 | − | 0.999919i | \(-0.495958\pi\) | ||||
0.0126971 | + | 0.999919i | \(0.495958\pi\) | |||||||
\(920\) | 0.260331 | + | 0.475391i | 0.000282968 | + | 0.000516730i | ||||
\(921\) | −656.701 | − | 317.047i | −0.713030 | − | 0.344242i | ||||
\(922\) | 454.483 | − | 422.360i | 0.492931 | − | 0.458091i | ||||
\(923\) | 46.3830 | + | 263.051i | 0.0502524 | + | 0.284996i | ||||
\(924\) | 439.041 | − | 253.819i | 0.475153 | − | 0.274696i | ||||
\(925\) | −835.667 | + | 995.910i | −0.903424 | + | 1.07666i | ||||
\(926\) | −84.9483 | + | 166.017i | −0.0917368 | + | 0.179284i | ||||
\(927\) | −1750.06 | − | 357.369i | −1.88788 | − | 0.385511i | ||||
\(928\) | 128.067 | + | 130.279i | 0.138003 | + | 0.140387i | ||||
\(929\) | −883.579 | − | 155.799i | −0.951108 | − | 0.167706i | −0.323493 | − | 0.946230i | \(-0.604857\pi\) |
−0.627614 | + | 0.778525i | \(0.715968\pi\) | |||||||
\(930\) | −1.86083 | − | 6.03700i | −0.00200089 | − | 0.00649140i | ||||
\(931\) | −63.9793 | + | 175.782i | −0.0687210 | + | 0.188809i | ||||
\(932\) | −376.483 | + | 1488.26i | −0.403951 | + | 1.59685i | ||||
\(933\) | 599.696 | − | 152.073i | 0.642760 | − | 0.162994i | ||||
\(934\) | 3.08996 | − | 24.8144i | 0.00330830 | − | 0.0265678i | ||||
\(935\) | 4.95230 | − | 2.85921i | 0.00529657 | − | 0.00305798i | ||||
\(936\) | −644.434 | + | 330.688i | −0.688498 | + | 0.353299i | ||||
\(937\) | −916.756 | + | 1587.87i | −0.978395 | + | 1.69463i | −0.310152 | + | 0.950687i | \(0.600380\pi\) |
−0.668243 | + | 0.743943i | \(0.732954\pi\) | |||||||
\(938\) | −570.649 | + | 754.586i | −0.608368 | + | 0.804463i | ||||
\(939\) | 608.318 | − | 273.764i | 0.647836 | − | 0.291548i | ||||
\(940\) | −6.70047 | + | 1.89652i | −0.00712816 | + | 0.00201758i | ||||
\(941\) | −140.849 | + | 118.186i | −0.149680 | + | 0.125596i | −0.714553 | − | 0.699582i | \(-0.753370\pi\) |
0.564873 | + | 0.825178i | \(0.308925\pi\) | |||||||
\(942\) | 1587.88 | + | 669.726i | 1.68565 | + | 0.710962i | ||||
\(943\) | 32.9186 | − | 11.9814i | 0.0349084 | − | 0.0127056i | ||||
\(944\) | −946.179 | + | 194.354i | −1.00231 | + | 0.205883i | ||||
\(945\) | 4.59573 | − | 14.7443i | 0.00486321 | − | 0.0156025i | ||||
\(946\) | 23.0161 | + | 454.046i | 0.0243299 | + | 0.479964i | ||||
\(947\) | −158.285 | + | 57.6109i | −0.167143 | + | 0.0608351i | −0.424236 | − | 0.905551i | \(-0.639457\pi\) |
0.257093 | + | 0.966387i | \(0.417235\pi\) | |||||||
\(948\) | −1720.73 | + | 304.437i | −1.81511 | + | 0.321136i | ||||
\(949\) | −145.398 | − | 173.278i | −0.153212 | − | 0.182590i | ||||
\(950\) | −944.988 | + | 216.464i | −0.994724 | + | 0.227857i | ||||
\(951\) | −4.47895 | + | 44.3201i | −0.00470973 | + | 0.0466037i | ||||
\(952\) | 242.700 | − | 399.261i | 0.254937 | − | 0.419392i | ||||
\(953\) | 502.309 | + | 290.008i | 0.527081 | + | 0.304311i | 0.739827 | − | 0.672797i | \(-0.234907\pi\) |
−0.212746 | + | 0.977108i | \(0.568241\pi\) | |||||||
\(954\) | −13.4072 | − | 564.493i | −0.0140537 | − | 0.591712i | ||||
\(955\) | 8.87773 | − | 5.12556i | 0.00929605 | − | 0.00536708i | ||||
\(956\) | −1199.15 | − | 87.9797i | −1.25434 | − | 0.0920289i | ||||
\(957\) | −82.6720 | + | 80.4774i | −0.0863867 | + | 0.0840935i | ||||
\(958\) | −273.099 | + | 887.828i | −0.285072 | + | 0.926752i | ||||
\(959\) | 431.838 | − | 1186.47i | 0.450300 | − | 1.23719i | ||||
\(960\) | 17.4991 | − | 0.501251i | 0.0182282 | − | 0.000522137i | ||||
\(961\) | −143.721 | + | 815.082i | −0.149554 | + | 0.848160i | ||||
\(962\) | −568.544 | − | 878.771i | −0.591002 | − | 0.913484i | ||||
\(963\) | 320.077 | − | 810.846i | 0.332375 | − | 0.842000i | ||||
\(964\) | −103.692 | + | 230.765i | −0.107564 | + | 0.239383i | ||||
\(965\) | −4.21093 | − | 3.53339i | −0.00436366 | − | 0.00366155i | ||||
\(966\) | −15.1792 | + | 23.4915i | −0.0157134 | + | 0.0243183i | ||||
\(967\) | 55.6940 | + | 315.856i | 0.0575946 | + | 0.326635i | 0.999969 | − | 0.00792608i | \(-0.00252298\pi\) |
−0.942374 | + | 0.334561i | \(0.891412\pi\) | |||||||
\(968\) | 399.225 | − | 454.519i | 0.412422 | − | 0.469545i | ||||
\(969\) | −304.721 | − | 447.890i | −0.314469 | − | 0.462218i | ||||
\(970\) | −15.7391 | + | 6.64907i | −0.0162259 | + | 0.00685471i | ||||
\(971\) | 1187.70 | 1.22317 | 0.611587 | − | 0.791177i | \(-0.290532\pi\) | ||||
0.611587 | + | 0.791177i | \(0.290532\pi\) | |||||||
\(972\) | −584.293 | − | 776.779i | −0.601125 | − | 0.799155i | ||||
\(973\) | − | 109.656i | − | 0.112698i | ||||||
\(974\) | −751.570 | + | 317.505i | −0.771632 | + | 0.325980i | ||||
\(975\) | −623.614 | + | 424.274i | −0.639604 | + | 0.435153i | ||||
\(976\) | −759.018 | − | 601.426i | −0.777683 | − | 0.616216i | ||||
\(977\) | 845.269 | − | 149.044i | 0.865168 | − | 0.152552i | 0.276585 | − | 0.960989i | \(-0.410797\pi\) |
0.588583 | + | 0.808437i | \(0.299686\pi\) | |||||||
\(978\) | −737.019 | + | 1140.62i | −0.753599 | + | 1.16628i | ||||
\(979\) | 477.485 | − | 569.045i | 0.487727 | − | 0.581251i | ||||
\(980\) | 1.44169 | − | 3.20848i | 0.00147111 | − | 0.00327396i | ||||
\(981\) | 1065.64 | + | 420.656i | 1.08628 | + | 0.428803i | ||||
\(982\) | −552.430 | − | 853.864i | −0.562556 | − | 0.869515i | ||||
\(983\) | −571.635 | − | 100.795i | −0.581521 | − | 0.102538i | −0.124853 | − | 0.992175i | \(-0.539846\pi\) |
−0.456668 | + | 0.889637i | \(0.650957\pi\) | |||||||
\(984\) | 139.166 | − | 1122.89i | 0.141429 | − | 1.14115i | ||||
\(985\) | −24.0963 | − | 8.77033i | −0.0244632 | − | 0.00890389i | ||||
\(986\) | −31.2529 | + | 101.601i | −0.0316966 | + | 0.103044i | ||||
\(987\) | −250.655 | − | 257.490i | −0.253956 | − | 0.260881i | ||||
\(988\) | 57.1100 | − | 778.399i | 0.0578037 | − | 0.787853i | ||||
\(989\) | −12.5366 | − | 21.7141i | −0.0126761 | − | 0.0219556i | ||||
\(990\) | 0.262518 | + | 11.0530i | 0.000265170 | + | 0.0111646i | ||||
\(991\) | 631.173 | − | 1093.22i | 0.636906 | − | 1.10315i | −0.349202 | − | 0.937047i | \(-0.613547\pi\) |
0.986108 | − | 0.166106i | \(-0.0531193\pi\) | |||||||
\(992\) | 333.549 | + | 159.027i | 0.336239 | + | 0.160309i | ||||
\(993\) | −619.148 | − | 62.5705i | −0.623512 | − | 0.0630116i | ||||
\(994\) | 324.723 | − | 74.3829i | 0.326683 | − | 0.0748319i | ||||
\(995\) | 15.2088 | − | 12.7617i | 0.0152852 | − | 0.0128258i | ||||
\(996\) | 381.802 | − | 67.5498i | 0.383336 | − | 0.0678211i | ||||
\(997\) | −138.735 | − | 381.172i | −0.139153 | − | 0.382318i | 0.850467 | − | 0.526028i | \(-0.176319\pi\) |
−0.989620 | + | 0.143709i | \(0.954097\pi\) | |||||||
\(998\) | 29.4248 | + | 580.473i | 0.0294838 | + | 0.581636i | ||||
\(999\) | 1032.42 | − | 952.286i | 1.03345 | − | 0.953240i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 216.3.x.a.101.64 | yes | 420 | |
8.5 | even | 2 | inner | 216.3.x.a.101.8 | yes | 420 | |
27.23 | odd | 18 | inner | 216.3.x.a.77.8 | ✓ | 420 | |
216.77 | odd | 18 | inner | 216.3.x.a.77.64 | yes | 420 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.3.x.a.77.8 | ✓ | 420 | 27.23 | odd | 18 | inner | |
216.3.x.a.77.64 | yes | 420 | 216.77 | odd | 18 | inner | |
216.3.x.a.101.8 | yes | 420 | 8.5 | even | 2 | inner | |
216.3.x.a.101.64 | yes | 420 | 1.1 | even | 1 | trivial |