Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [114,2,Mod(25,114)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(114, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("114.25");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 114 = 2 \cdot 3 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 114.i (of order \(9\), 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: | \(0.910294583043\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 85.1 | ||
Root | \(-0.173648 - 0.984808i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 114.85 |
Dual form | 114.2.i.a.55.1 |
$q$-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 \(\left(\mathbb{Z}/114\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(97\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | − | 0.984808i | −0.122788 | − | 0.696364i | ||||
\(3\) | 0.766044 | − | 0.642788i | 0.442276 | − | 0.371114i | ||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −3.20574 | − | 1.16679i | −1.43365 | − | 0.521806i | −0.495674 | − | 0.868509i | \(-0.665079\pi\) |
−0.937975 | + | 0.346703i | \(0.887301\pi\) | |||||||
\(6\) | −0.766044 | − | 0.642788i | −0.312736 | − | 0.262417i | ||||
\(7\) | 2.43969 | − | 4.22567i | 0.922117 | − | 1.59715i | 0.125984 | − | 0.992032i | \(-0.459791\pi\) |
0.796133 | − | 0.605121i | \(-0.206875\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | 0.173648 | − | 0.984808i | 0.0578827 | − | 0.328269i | ||||
\(10\) | −0.592396 | + | 3.35965i | −0.187332 | + | 1.06241i | ||||
\(11\) | 1.70574 | + | 2.95442i | 0.514299 | + | 0.890792i | 0.999862 | + | 0.0165906i | \(0.00528120\pi\) |
−0.485563 | + | 0.874202i | \(0.661385\pi\) | |||||||
\(12\) | −0.500000 | + | 0.866025i | −0.144338 | + | 0.250000i | ||||
\(13\) | 2.08125 | + | 1.74638i | 0.577235 | + | 0.484358i | 0.884038 | − | 0.467415i | \(-0.154815\pi\) |
−0.306803 | + | 0.951773i | \(0.599259\pi\) | |||||||
\(14\) | −4.58512 | − | 1.66885i | −1.22543 | − | 0.446018i | ||||
\(15\) | −3.20574 | + | 1.16679i | −0.827718 | + | 0.301265i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.205737 | + | 1.16679i | 0.0498986 | + | 0.282989i | 0.999539 | − | 0.0303521i | \(-0.00966285\pi\) |
−0.949641 | + | 0.313341i | \(0.898552\pi\) | |||||||
\(18\) | −1.00000 | −0.235702 | ||||||||
\(19\) | −2.52094 | + | 3.55596i | −0.578344 | + | 0.815793i | ||||
\(20\) | 3.41147 | 0.762829 | ||||||||
\(21\) | −0.847296 | − | 4.80526i | −0.184895 | − | 1.04859i | ||||
\(22\) | 2.61334 | − | 2.19285i | 0.557166 | − | 0.467518i | ||||
\(23\) | 3.20574 | − | 1.16679i | 0.668442 | − | 0.243293i | 0.0145653 | − | 0.999894i | \(-0.495364\pi\) |
0.653877 | + | 0.756601i | \(0.273141\pi\) | |||||||
\(24\) | 0.939693 | + | 0.342020i | 0.191814 | + | 0.0698146i | ||||
\(25\) | 5.08512 | + | 4.26692i | 1.01702 | + | 0.853385i | ||||
\(26\) | 1.35844 | − | 2.35289i | 0.266412 | − | 0.461439i | ||||
\(27\) | −0.500000 | − | 0.866025i | −0.0962250 | − | 0.166667i | ||||
\(28\) | −0.847296 | + | 4.80526i | −0.160124 | + | 0.908108i | ||||
\(29\) | 0.655230 | − | 3.71599i | 0.121673 | − | 0.690043i | −0.861555 | − | 0.507664i | \(-0.830509\pi\) |
0.983228 | − | 0.182379i | \(-0.0583797\pi\) | |||||||
\(30\) | 1.70574 | + | 2.95442i | 0.311424 | + | 0.539401i | ||||
\(31\) | −3.30793 | + | 5.72951i | −0.594122 | + | 1.02905i | 0.399548 | + | 0.916712i | \(0.369167\pi\) |
−0.993670 | + | 0.112338i | \(0.964166\pi\) | |||||||
\(32\) | −0.766044 | − | 0.642788i | −0.135419 | − | 0.113630i | ||||
\(33\) | 3.20574 | + | 1.16679i | 0.558047 | + | 0.203113i | ||||
\(34\) | 1.11334 | − | 0.405223i | 0.190936 | − | 0.0694952i | ||||
\(35\) | −12.7515 | + | 10.6998i | −2.15540 | + | 1.80859i | ||||
\(36\) | 0.173648 | + | 0.984808i | 0.0289414 | + | 0.164135i | ||||
\(37\) | 6.75877 | 1.11114 | 0.555568 | − | 0.831471i | \(-0.312501\pi\) | ||||
0.555568 | + | 0.831471i | \(0.312501\pi\) | |||||||
\(38\) | 3.93969 | + | 1.86516i | 0.639103 | + | 0.302569i | ||||
\(39\) | 2.71688 | 0.435049 | ||||||||
\(40\) | −0.592396 | − | 3.35965i | −0.0936661 | − | 0.531207i | ||||
\(41\) | 5.02094 | − | 4.21307i | 0.784140 | − | 0.657971i | −0.160148 | − | 0.987093i | \(-0.551197\pi\) |
0.944288 | + | 0.329122i | \(0.106753\pi\) | |||||||
\(42\) | −4.58512 | + | 1.66885i | −0.707500 | + | 0.257509i | ||||
\(43\) | −3.91875 | − | 1.42631i | −0.597603 | − | 0.217510i | 0.0254669 | − | 0.999676i | \(-0.491893\pi\) |
−0.623070 | + | 0.782166i | \(0.714115\pi\) | |||||||
\(44\) | −2.61334 | − | 2.19285i | −0.393976 | − | 0.330585i | ||||
\(45\) | −1.70574 | + | 2.95442i | −0.254276 | + | 0.440419i | ||||
\(46\) | −1.70574 | − | 2.95442i | −0.251497 | − | 0.435606i | ||||
\(47\) | 0.496130 | − | 2.81369i | 0.0723679 | − | 0.410419i | −0.927006 | − | 0.375046i | \(-0.877627\pi\) |
0.999374 | − | 0.0353731i | \(-0.0112619\pi\) | |||||||
\(48\) | 0.173648 | − | 0.984808i | 0.0250640 | − | 0.142145i | ||||
\(49\) | −8.40420 | − | 14.5565i | −1.20060 | − | 2.07950i | ||||
\(50\) | 3.31908 | − | 5.74881i | 0.469388 | − | 0.813005i | ||||
\(51\) | 0.907604 | + | 0.761570i | 0.127090 | + | 0.106641i | ||||
\(52\) | −2.55303 | − | 0.929228i | −0.354042 | − | 0.128861i | ||||
\(53\) | −0.592396 | + | 0.215615i | −0.0813719 | + | 0.0296169i | −0.382385 | − | 0.924003i | \(-0.624897\pi\) |
0.301013 | + | 0.953620i | \(0.402675\pi\) | |||||||
\(54\) | −0.766044 | + | 0.642788i | −0.104245 | + | 0.0874723i | ||||
\(55\) | −2.02094 | − | 11.4613i | −0.272504 | − | 1.54545i | ||||
\(56\) | 4.87939 | 0.652035 | ||||||||
\(57\) | 0.354570 | + | 4.34445i | 0.0469640 | + | 0.575437i | ||||
\(58\) | −3.77332 | −0.495461 | ||||||||
\(59\) | 2.02094 | + | 11.4613i | 0.263105 | + | 1.49214i | 0.774379 | + | 0.632722i | \(0.218063\pi\) |
−0.511274 | + | 0.859418i | \(0.670826\pi\) | |||||||
\(60\) | 2.61334 | − | 2.19285i | 0.337381 | − | 0.283096i | ||||
\(61\) | −6.48545 | + | 2.36051i | −0.830377 | + | 0.302233i | −0.722014 | − | 0.691879i | \(-0.756783\pi\) |
−0.108363 | + | 0.994111i | \(0.534561\pi\) | |||||||
\(62\) | 6.21688 | + | 2.26276i | 0.789545 | + | 0.287371i | ||||
\(63\) | −3.73783 | − | 3.13641i | −0.470922 | − | 0.395150i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −4.63429 | − | 8.02682i | −0.574812 | − | 0.995604i | ||||
\(66\) | 0.592396 | − | 3.35965i | 0.0729189 | − | 0.413544i | ||||
\(67\) | 0.123141 | − | 0.698367i | 0.0150441 | − | 0.0853191i | −0.976361 | − | 0.216145i | \(-0.930652\pi\) |
0.991405 | + | 0.130826i | \(0.0417628\pi\) | |||||||
\(68\) | −0.592396 | − | 1.02606i | −0.0718386 | − | 0.124428i | ||||
\(69\) | 1.70574 | − | 2.95442i | 0.205347 | − | 0.355671i | ||||
\(70\) | 12.7515 | + | 10.6998i | 1.52410 | + | 1.27887i | ||||
\(71\) | −7.47818 | − | 2.72183i | −0.887496 | − | 0.323022i | −0.142265 | − | 0.989829i | \(-0.545439\pi\) |
−0.745231 | + | 0.666806i | \(0.767661\pi\) | |||||||
\(72\) | 0.939693 | − | 0.342020i | 0.110744 | − | 0.0403075i | ||||
\(73\) | −9.76264 | + | 8.19183i | −1.14263 | + | 0.958781i | −0.999522 | − | 0.0309259i | \(-0.990154\pi\) |
−0.143109 | + | 0.989707i | \(0.545710\pi\) | |||||||
\(74\) | −1.17365 | − | 6.65609i | −0.136434 | − | 0.773755i | ||||
\(75\) | 6.63816 | 0.766508 | ||||||||
\(76\) | 1.15270 | − | 4.20372i | 0.132224 | − | 0.482200i | ||||
\(77\) | 16.6459 | 1.89698 | ||||||||
\(78\) | −0.471782 | − | 2.67561i | −0.0534187 | − | 0.302953i | ||||
\(79\) | 0.228026 | − | 0.191336i | 0.0256549 | − | 0.0215270i | −0.629870 | − | 0.776701i | \(-0.716892\pi\) |
0.655525 | + | 0.755174i | \(0.272447\pi\) | |||||||
\(80\) | −3.20574 | + | 1.16679i | −0.358412 | + | 0.130451i | ||||
\(81\) | −0.939693 | − | 0.342020i | −0.104410 | − | 0.0380022i | ||||
\(82\) | −5.02094 | − | 4.21307i | −0.554471 | − | 0.465256i | ||||
\(83\) | −7.80200 | + | 13.5135i | −0.856381 | + | 1.48330i | 0.0189766 | + | 0.999820i | \(0.493959\pi\) |
−0.875358 | + | 0.483476i | \(0.839374\pi\) | |||||||
\(84\) | 2.43969 | + | 4.22567i | 0.266192 | + | 0.461059i | ||||
\(85\) | 0.701867 | − | 3.98048i | 0.0761281 | − | 0.431744i | ||||
\(86\) | −0.724155 | + | 4.10689i | −0.0780877 | + | 0.442857i | ||||
\(87\) | −1.88666 | − | 3.26779i | −0.202271 | − | 0.350344i | ||||
\(88\) | −1.70574 | + | 2.95442i | −0.181832 | + | 0.314943i | ||||
\(89\) | 5.18866 | + | 4.35381i | 0.549997 | + | 0.461502i | 0.874940 | − | 0.484231i | \(-0.160901\pi\) |
−0.324943 | + | 0.945734i | \(0.605345\pi\) | |||||||
\(90\) | 3.20574 | + | 1.16679i | 0.337914 | + | 0.122991i | ||||
\(91\) | 12.4572 | − | 4.53406i | 1.30587 | − | 0.475299i | ||||
\(92\) | −2.61334 | + | 2.19285i | −0.272460 | + | 0.228621i | ||||
\(93\) | 1.14883 | + | 6.51536i | 0.119128 | + | 0.675611i | ||||
\(94\) | −2.85710 | −0.294687 | ||||||||
\(95\) | 12.2306 | − | 8.45805i | 1.25483 | − | 0.867777i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −1.23736 | − | 7.01741i | −0.125635 | − | 0.712510i | −0.980929 | − | 0.194367i | \(-0.937735\pi\) |
0.855294 | − | 0.518143i | \(-0.173376\pi\) | |||||||
\(98\) | −12.8760 | + | 10.8042i | −1.30067 | + | 1.09139i | ||||
\(99\) | 3.20574 | − | 1.16679i | 0.322189 | − | 0.117267i | ||||
\(100\) | −6.23783 | − | 2.27038i | −0.623783 | − | 0.227038i | ||||
\(101\) | −3.55896 | − | 2.98632i | −0.354130 | − | 0.297150i | 0.448316 | − | 0.893875i | \(-0.352024\pi\) |
−0.802446 | + | 0.596725i | \(0.796468\pi\) | |||||||
\(102\) | 0.592396 | − | 1.02606i | 0.0586560 | − | 0.101595i | ||||
\(103\) | 6.19119 | + | 10.7235i | 0.610036 | + | 1.05661i | 0.991234 | + | 0.132120i | \(0.0421784\pi\) |
−0.381198 | + | 0.924494i | \(0.624488\pi\) | |||||||
\(104\) | −0.471782 | + | 2.67561i | −0.0462620 | + | 0.262365i | ||||
\(105\) | −2.89053 | + | 16.3930i | −0.282087 | + | 1.59979i | ||||
\(106\) | 0.315207 | + | 0.545955i | 0.0306157 | + | 0.0530279i | ||||
\(107\) | −1.94949 | + | 3.37662i | −0.188465 | + | 0.326430i | −0.944739 | − | 0.327825i | \(-0.893684\pi\) |
0.756274 | + | 0.654255i | \(0.227018\pi\) | |||||||
\(108\) | 0.766044 | + | 0.642788i | 0.0737127 | + | 0.0618523i | ||||
\(109\) | 10.8969 | + | 3.96616i | 1.04374 | + | 0.379889i | 0.806295 | − | 0.591513i | \(-0.201469\pi\) |
0.237441 | + | 0.971402i | \(0.423691\pi\) | |||||||
\(110\) | −10.9363 | + | 3.98048i | −1.04273 | + | 0.379524i | ||||
\(111\) | 5.17752 | − | 4.34445i | 0.491428 | − | 0.412357i | ||||
\(112\) | −0.847296 | − | 4.80526i | −0.0800620 | − | 0.454054i | ||||
\(113\) | 1.94087 | 0.182582 | 0.0912911 | − | 0.995824i | \(-0.470901\pi\) | ||||
0.0912911 | + | 0.995824i | \(0.470901\pi\) | |||||||
\(114\) | 4.21688 | − | 1.10359i | 0.394947 | − | 0.103361i | ||||
\(115\) | −11.6382 | −1.08526 | ||||||||
\(116\) | 0.655230 | + | 3.71599i | 0.0608366 | + | 0.345021i | ||||
\(117\) | 2.08125 | − | 1.74638i | 0.192412 | − | 0.161453i | ||||
\(118\) | 10.9363 | − | 3.98048i | 1.00677 | − | 0.366433i | ||||
\(119\) | 5.43242 | + | 1.97724i | 0.497989 | + | 0.181253i | ||||
\(120\) | −2.61334 | − | 2.19285i | −0.238564 | − | 0.200179i | ||||
\(121\) | −0.319078 | + | 0.552659i | −0.0290071 | + | 0.0502417i | ||||
\(122\) | 3.45084 | + | 5.97702i | 0.312424 | + | 0.541134i | ||||
\(123\) | 1.13816 | − | 6.45480i | 0.102624 | − | 0.582010i | ||||
\(124\) | 1.14883 | − | 6.51536i | 0.103168 | − | 0.585096i | ||||
\(125\) | −2.79426 | − | 4.83981i | −0.249926 | − | 0.432885i | ||||
\(126\) | −2.43969 | + | 4.22567i | −0.217345 | + | 0.376453i | ||||
\(127\) | −4.66044 | − | 3.91058i | −0.413548 | − | 0.347008i | 0.412155 | − | 0.911114i | \(-0.364776\pi\) |
−0.825702 | + | 0.564106i | \(0.809221\pi\) | |||||||
\(128\) | 0.939693 | + | 0.342020i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −3.91875 | + | 1.42631i | −0.345027 | + | 0.125579i | ||||
\(130\) | −7.10014 | + | 5.95772i | −0.622723 | + | 0.522527i | ||||
\(131\) | −3.23055 | − | 18.3214i | −0.282255 | − | 1.60075i | −0.714930 | − | 0.699196i | \(-0.753542\pi\) |
0.432676 | − | 0.901550i | \(-0.357570\pi\) | |||||||
\(132\) | −3.41147 | −0.296931 | ||||||||
\(133\) | 8.87598 | + | 19.3281i | 0.769645 | + | 1.67596i | ||||
\(134\) | −0.709141 | −0.0612604 | ||||||||
\(135\) | 0.592396 | + | 3.35965i | 0.0509854 | + | 0.289152i | ||||
\(136\) | −0.907604 | + | 0.761570i | −0.0778264 | + | 0.0653041i | ||||
\(137\) | −4.27244 | + | 1.55504i | −0.365019 | + | 0.132856i | −0.518017 | − | 0.855370i | \(-0.673330\pi\) |
0.152998 | + | 0.988227i | \(0.451107\pi\) | |||||||
\(138\) | −3.20574 | − | 1.16679i | −0.272890 | − | 0.0993240i | ||||
\(139\) | −2.30928 | − | 1.93771i | −0.195870 | − | 0.164355i | 0.539578 | − | 0.841936i | \(-0.318584\pi\) |
−0.735448 | + | 0.677581i | \(0.763028\pi\) | |||||||
\(140\) | 8.32295 | − | 14.4158i | 0.703418 | − | 1.21835i | ||||
\(141\) | −1.42855 | − | 2.47432i | −0.120305 | − | 0.208375i | ||||
\(142\) | −1.38191 | + | 7.83721i | −0.115967 | + | 0.657684i | ||||
\(143\) | −1.60947 | + | 9.12776i | −0.134591 | + | 0.763302i | ||||
\(144\) | −0.500000 | − | 0.866025i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | −6.43629 | + | 11.1480i | −0.534505 | + | 0.925789i | ||||
\(146\) | 9.76264 | + | 8.19183i | 0.807962 | + | 0.677961i | ||||
\(147\) | −15.7947 | − | 5.74881i | −1.30273 | − | 0.474154i | ||||
\(148\) | −6.35117 | + | 2.31164i | −0.522063 | + | 0.190015i | ||||
\(149\) | 0.907604 | − | 0.761570i | 0.0743538 | − | 0.0623902i | −0.604853 | − | 0.796337i | \(-0.706768\pi\) |
0.679207 | + | 0.733947i | \(0.262324\pi\) | |||||||
\(150\) | −1.15270 | − | 6.53731i | −0.0941179 | − | 0.533769i | ||||
\(151\) | −3.63816 | −0.296069 | −0.148034 | − | 0.988982i | \(-0.547295\pi\) | ||||
−0.148034 | + | 0.988982i | \(0.547295\pi\) | |||||||
\(152\) | −4.34002 | − | 0.405223i | −0.352022 | − | 0.0328679i | ||||
\(153\) | 1.18479 | 0.0957848 | ||||||||
\(154\) | −2.89053 | − | 16.3930i | −0.232926 | − | 1.32099i | ||||
\(155\) | 17.2895 | − | 14.5076i | 1.38873 | − | 1.16528i | ||||
\(156\) | −2.55303 | + | 0.929228i | −0.204406 | + | 0.0743978i | ||||
\(157\) | −5.89306 | − | 2.14490i | −0.470317 | − | 0.171181i | 0.0959789 | − | 0.995383i | \(-0.469402\pi\) |
−0.566296 | + | 0.824202i | \(0.691624\pi\) | |||||||
\(158\) | −0.228026 | − | 0.191336i | −0.0181408 | − | 0.0152219i | ||||
\(159\) | −0.315207 | + | 0.545955i | −0.0249976 | + | 0.0432971i | ||||
\(160\) | 1.70574 | + | 2.95442i | 0.134850 | + | 0.233568i | ||||
\(161\) | 2.89053 | − | 16.3930i | 0.227806 | − | 1.29195i | ||||
\(162\) | −0.173648 | + | 0.984808i | −0.0136431 | + | 0.0773738i | ||||
\(163\) | 9.64930 | + | 16.7131i | 0.755792 | + | 1.30907i | 0.944980 | + | 0.327128i | \(0.106081\pi\) |
−0.189188 | + | 0.981941i | \(0.560586\pi\) | |||||||
\(164\) | −3.27719 | + | 5.67626i | −0.255905 | + | 0.443241i | ||||
\(165\) | −8.91534 | − | 7.48086i | −0.694059 | − | 0.582384i | ||||
\(166\) | 14.6630 | + | 5.33688i | 1.13807 | + | 0.414223i | ||||
\(167\) | 7.25624 | − | 2.64106i | 0.561505 | − | 0.204371i | −0.0456458 | − | 0.998958i | \(-0.514535\pi\) |
0.607151 | + | 0.794587i | \(0.292312\pi\) | |||||||
\(168\) | 3.73783 | − | 3.13641i | 0.288380 | − | 0.241979i | ||||
\(169\) | −0.975652 | − | 5.53320i | −0.0750501 | − | 0.425631i | ||||
\(170\) | −4.04189 | −0.309999 | ||||||||
\(171\) | 3.06418 | + | 3.10013i | 0.234324 | + | 0.237073i | ||||
\(172\) | 4.17024 | 0.317978 | ||||||||
\(173\) | −2.51707 | − | 14.2750i | −0.191370 | − | 1.08531i | −0.917495 | − | 0.397748i | \(-0.869792\pi\) |
0.726125 | − | 0.687563i | \(-0.241319\pi\) | |||||||
\(174\) | −2.89053 | + | 2.42544i | −0.219130 | + | 0.183872i | ||||
\(175\) | 30.4368 | − | 11.0781i | 2.30080 | − | 0.837424i | ||||
\(176\) | 3.20574 | + | 1.16679i | 0.241642 | + | 0.0879503i | ||||
\(177\) | 8.91534 | + | 7.48086i | 0.670118 | + | 0.562296i | ||||
\(178\) | 3.38666 | − | 5.86587i | 0.253841 | − | 0.439665i | ||||
\(179\) | 4.91147 | + | 8.50692i | 0.367101 | + | 0.635837i | 0.989111 | − | 0.147172i | \(-0.0470171\pi\) |
−0.622010 | + | 0.783009i | \(0.713684\pi\) | |||||||
\(180\) | 0.592396 | − | 3.35965i | 0.0441546 | − | 0.250413i | ||||
\(181\) | 3.28446 | − | 18.6271i | 0.244132 | − | 1.38454i | −0.578367 | − | 0.815777i | \(-0.696310\pi\) |
0.822499 | − | 0.568766i | \(-0.192579\pi\) | |||||||
\(182\) | −6.62836 | − | 11.4806i | −0.491326 | − | 0.851002i | ||||
\(183\) | −3.45084 | + | 5.97702i | −0.255093 | + | 0.441834i | ||||
\(184\) | 2.61334 | + | 2.19285i | 0.192658 | + | 0.161659i | ||||
\(185\) | −21.6668 | − | 7.88609i | −1.59298 | − | 0.579797i | ||||
\(186\) | 6.21688 | − | 2.26276i | 0.455844 | − | 0.165914i | ||||
\(187\) | −3.09627 | + | 2.59808i | −0.226421 | + | 0.189990i | ||||
\(188\) | 0.496130 | + | 2.81369i | 0.0361840 | + | 0.205209i | ||||
\(189\) | −4.87939 | −0.354923 | ||||||||
\(190\) | −10.4534 | − | 10.5760i | −0.758367 | − | 0.767265i | ||||
\(191\) | −10.0915 | −0.730197 | −0.365098 | − | 0.930969i | \(-0.618965\pi\) | ||||
−0.365098 | + | 0.930969i | \(0.618965\pi\) | |||||||
\(192\) | 0.173648 | + | 0.984808i | 0.0125320 | + | 0.0710724i | ||||
\(193\) | 1.93376 | − | 1.62262i | 0.139195 | − | 0.116799i | −0.570532 | − | 0.821276i | \(-0.693263\pi\) |
0.709727 | + | 0.704477i | \(0.248818\pi\) | |||||||
\(194\) | −6.69594 | + | 2.43712i | −0.480740 | + | 0.174975i | ||||
\(195\) | −8.70961 | − | 3.17004i | −0.623708 | − | 0.227011i | ||||
\(196\) | 12.8760 | + | 10.8042i | 0.919713 | + | 0.771731i | ||||
\(197\) | −7.42855 | + | 12.8666i | −0.529262 | + | 0.916709i | 0.470155 | + | 0.882584i | \(0.344198\pi\) |
−0.999418 | + | 0.0341253i | \(0.989135\pi\) | |||||||
\(198\) | −1.70574 | − | 2.95442i | −0.121221 | − | 0.209962i | ||||
\(199\) | 1.40121 | − | 7.94664i | 0.0993289 | − | 0.563322i | −0.894006 | − | 0.448056i | \(-0.852117\pi\) |
0.993335 | − | 0.115267i | \(-0.0367723\pi\) | |||||||
\(200\) | −1.15270 | + | 6.53731i | −0.0815085 | + | 0.462257i | ||||
\(201\) | −0.354570 | − | 0.614134i | −0.0250095 | − | 0.0433177i | ||||
\(202\) | −2.32295 | + | 4.02346i | −0.163442 | + | 0.283090i | ||||
\(203\) | −14.1040 | − | 11.8347i | −0.989907 | − | 0.830631i | ||||
\(204\) | −1.11334 | − | 0.405223i | −0.0779494 | − | 0.0283713i | ||||
\(205\) | −21.0116 | + | 7.64760i | −1.46751 | + | 0.534132i | ||||
\(206\) | 9.48545 | − | 7.95924i | 0.660883 | − | 0.554546i | ||||
\(207\) | −0.592396 | − | 3.35965i | −0.0411744 | − | 0.233512i | ||||
\(208\) | 2.71688 | 0.188382 | ||||||||
\(209\) | −14.8059 | − | 1.38241i | −1.02414 | − | 0.0956231i | ||||
\(210\) | 16.6459 | 1.14868 | ||||||||
\(211\) | 1.37939 | + | 7.82288i | 0.0949608 | + | 0.538549i | 0.994759 | + | 0.102244i | \(0.0326022\pi\) |
−0.899799 | + | 0.436306i | \(0.856287\pi\) | |||||||
\(212\) | 0.482926 | − | 0.405223i | 0.0331675 | − | 0.0278308i | ||||
\(213\) | −7.47818 | + | 2.72183i | −0.512396 | + | 0.186497i | ||||
\(214\) | 3.66385 | + | 1.33353i | 0.250455 | + | 0.0911583i | ||||
\(215\) | 10.8983 | + | 9.14473i | 0.743256 | + | 0.623666i | ||||
\(216\) | 0.500000 | − | 0.866025i | 0.0340207 | − | 0.0589256i | ||||
\(217\) | 16.1407 | + | 27.9565i | 1.09570 | + | 1.89781i | ||||
\(218\) | 2.01367 | − | 11.4201i | 0.136383 | − | 0.773466i | ||||
\(219\) | −2.21301 | + | 12.5506i | −0.149541 | + | 0.848092i | ||||
\(220\) | 5.81908 | + | 10.0789i | 0.392322 | + | 0.679522i | ||||
\(221\) | −1.60947 | + | 2.78768i | −0.108265 | + | 0.187520i | ||||
\(222\) | −5.17752 | − | 4.34445i | −0.347492 | − | 0.291581i | ||||
\(223\) | −11.2464 | − | 4.09337i | −0.753118 | − | 0.274112i | −0.0632006 | − | 0.998001i | \(-0.520131\pi\) |
−0.689917 | + | 0.723888i | \(0.742353\pi\) | |||||||
\(224\) | −4.58512 | + | 1.66885i | −0.306356 | + | 0.111505i | ||||
\(225\) | 5.08512 | − | 4.26692i | 0.339008 | − | 0.284462i | ||||
\(226\) | −0.337029 | − | 1.91139i | −0.0224189 | − | 0.127144i | ||||
\(227\) | 26.5945 | 1.76514 | 0.882570 | − | 0.470181i | \(-0.155811\pi\) | ||||
0.882570 | + | 0.470181i | \(0.155811\pi\) | |||||||
\(228\) | −1.81908 | − | 3.96118i | −0.120471 | − | 0.262336i | ||||
\(229\) | −19.9026 | −1.31520 | −0.657601 | − | 0.753367i | \(-0.728429\pi\) | ||||
−0.657601 | + | 0.753367i | \(0.728429\pi\) | |||||||
\(230\) | 2.02094 | + | 11.4613i | 0.133257 | + | 0.755739i | ||||
\(231\) | 12.7515 | − | 10.6998i | 0.838987 | − | 0.703994i | ||||
\(232\) | 3.54576 | − | 1.29055i | 0.232791 | − | 0.0847288i | ||||
\(233\) | 4.05051 | + | 1.47426i | 0.265358 | + | 0.0965822i | 0.471273 | − | 0.881988i | \(-0.343795\pi\) |
−0.205915 | + | 0.978570i | \(0.566017\pi\) | |||||||
\(234\) | −2.08125 | − | 1.74638i | −0.136056 | − | 0.114164i | ||||
\(235\) | −4.87346 | + | 8.44107i | −0.317909 | + | 0.550635i | ||||
\(236\) | −5.81908 | − | 10.0789i | −0.378790 | − | 0.656083i | ||||
\(237\) | 0.0516892 | − | 0.293144i | 0.00335758 | − | 0.0190418i | ||||
\(238\) | 1.00387 | − | 5.69323i | 0.0650713 | − | 0.369037i | ||||
\(239\) | −0.142903 | − | 0.247516i | −0.00924366 | − | 0.0160105i | 0.861367 | − | 0.507984i | \(-0.169609\pi\) |
−0.870610 | + | 0.491973i | \(0.836276\pi\) | |||||||
\(240\) | −1.70574 | + | 2.95442i | −0.110105 | + | 0.190707i | ||||
\(241\) | 7.32816 | + | 6.14906i | 0.472048 | + | 0.396096i | 0.847541 | − | 0.530730i | \(-0.178082\pi\) |
−0.375493 | + | 0.926825i | \(0.622526\pi\) | |||||||
\(242\) | 0.599670 | + | 0.218262i | 0.0385483 | + | 0.0140304i | ||||
\(243\) | −0.939693 | + | 0.342020i | −0.0602813 | + | 0.0219406i | ||||
\(244\) | 5.28699 | − | 4.43631i | 0.338465 | − | 0.284006i | ||||
\(245\) | 9.95723 | + | 56.4703i | 0.636144 | + | 3.60775i | ||||
\(246\) | −6.55438 | −0.417892 | ||||||||
\(247\) | −11.4568 | + | 2.99832i | −0.728977 | + | 0.190779i | ||||
\(248\) | −6.61587 | −0.420108 | ||||||||
\(249\) | 2.70961 | + | 15.3669i | 0.171714 | + | 0.973841i | ||||
\(250\) | −4.28106 | + | 3.59224i | −0.270758 | + | 0.227193i | ||||
\(251\) | −27.8974 | + | 10.1538i | −1.76087 | + | 0.640903i | −0.999968 | − | 0.00796619i | \(-0.997464\pi\) |
−0.760900 | + | 0.648870i | \(0.775242\pi\) | |||||||
\(252\) | 4.58512 | + | 1.66885i | 0.288836 | + | 0.105128i | ||||
\(253\) | 8.91534 | + | 7.48086i | 0.560503 | + | 0.470318i | ||||
\(254\) | −3.04189 | + | 5.26871i | −0.190865 | + | 0.330588i | ||||
\(255\) | −2.02094 | − | 3.50038i | −0.126556 | − | 0.219202i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 2.74304 | − | 15.5566i | 0.171106 | − | 0.970391i | −0.771437 | − | 0.636306i | \(-0.780462\pi\) |
0.942543 | − | 0.334085i | \(-0.108427\pi\) | |||||||
\(258\) | 2.08512 | + | 3.61154i | 0.129814 | + | 0.224845i | ||||
\(259\) | 16.4893 | − | 28.5603i | 1.02460 | − | 1.77465i | ||||
\(260\) | 7.10014 | + | 5.95772i | 0.440332 | + | 0.369482i | ||||
\(261\) | −3.54576 | − | 1.29055i | −0.219477 | − | 0.0798831i | ||||
\(262\) | −17.4820 | + | 6.36295i | −1.08004 | + | 0.393104i | ||||
\(263\) | 8.32295 | − | 6.98378i | 0.513215 | − | 0.430638i | −0.349044 | − | 0.937106i | \(-0.613494\pi\) |
0.862259 | + | 0.506468i | \(0.169049\pi\) | |||||||
\(264\) | 0.592396 | + | 3.35965i | 0.0364595 | + | 0.206772i | ||||
\(265\) | 2.15064 | 0.132113 | ||||||||
\(266\) | 17.4932 | − | 12.0974i | 1.07258 | − | 0.741741i | ||||
\(267\) | 6.77332 | 0.414520 | ||||||||
\(268\) | 0.123141 | + | 0.698367i | 0.00752203 | + | 0.0426596i | ||||
\(269\) | −13.2476 | + | 11.1161i | −0.807722 | + | 0.677759i | −0.950063 | − | 0.312058i | \(-0.898982\pi\) |
0.142341 | + | 0.989818i | \(0.454537\pi\) | |||||||
\(270\) | 3.20574 | − | 1.16679i | 0.195095 | − | 0.0710088i | ||||
\(271\) | −1.35844 | − | 0.494432i | −0.0825194 | − | 0.0300346i | 0.300431 | − | 0.953804i | \(-0.402870\pi\) |
−0.382950 | + | 0.923769i | \(0.625092\pi\) | |||||||
\(272\) | 0.907604 | + | 0.761570i | 0.0550316 | + | 0.0461770i | ||||
\(273\) | 6.62836 | − | 11.4806i | 0.401166 | − | 0.694840i | ||||
\(274\) | 2.27332 | + | 3.93750i | 0.137336 | + | 0.237873i | ||||
\(275\) | −3.93242 | + | 22.3019i | −0.237134 | + | 1.34485i | ||||
\(276\) | −0.592396 | + | 3.35965i | −0.0356581 | + | 0.202227i | ||||
\(277\) | −10.5954 | − | 18.3518i | −0.636615 | − | 1.10265i | −0.986170 | − | 0.165734i | \(-0.947001\pi\) |
0.349555 | − | 0.936916i | \(-0.386333\pi\) | |||||||
\(278\) | −1.50727 | + | 2.61068i | −0.0904003 | + | 0.156578i | ||||
\(279\) | 5.06805 | + | 4.25260i | 0.303416 | + | 0.254596i | ||||
\(280\) | −15.6420 | − | 5.69323i | −0.934790 | − | 0.340236i | ||||
\(281\) | 22.8983 | − | 8.33429i | 1.36600 | − | 0.497182i | 0.448093 | − | 0.893987i | \(-0.352103\pi\) |
0.917903 | + | 0.396805i | \(0.129881\pi\) | |||||||
\(282\) | −2.18866 | + | 1.83651i | −0.130333 | + | 0.109362i | ||||
\(283\) | −0.716415 | − | 4.06299i | −0.0425864 | − | 0.241520i | 0.956083 | − | 0.293098i | \(-0.0946861\pi\) |
−0.998669 | + | 0.0515779i | \(0.983575\pi\) | |||||||
\(284\) | 7.95811 | 0.472227 | ||||||||
\(285\) | 3.93242 | − | 14.3409i | 0.232936 | − | 0.849481i | ||||
\(286\) | 9.26857 | 0.548062 | ||||||||
\(287\) | −5.55350 | − | 31.4955i | −0.327813 | − | 1.85912i | ||||
\(288\) | −0.766044 | + | 0.642788i | −0.0451396 | + | 0.0378766i | ||||
\(289\) | 14.6557 | − | 5.33424i | 0.862100 | − | 0.313779i | ||||
\(290\) | 12.0963 | + | 4.40268i | 0.710317 | + | 0.258534i | ||||
\(291\) | −5.45858 | − | 4.58029i | −0.319987 | − | 0.268501i | ||||
\(292\) | 6.37211 | − | 11.0368i | 0.372900 | − | 0.645881i | ||||
\(293\) | −1.39053 | − | 2.40847i | −0.0812356 | − | 0.140704i | 0.822545 | − | 0.568700i | \(-0.192553\pi\) |
−0.903781 | + | 0.427995i | \(0.859220\pi\) | |||||||
\(294\) | −2.91875 | + | 16.5530i | −0.170225 | + | 0.965393i | ||||
\(295\) | 6.89440 | − | 39.1001i | 0.401407 | − | 2.27649i | ||||
\(296\) | 3.37939 | + | 5.85327i | 0.196423 | + | 0.340214i | ||||
\(297\) | 1.70574 | − | 2.95442i | 0.0989769 | − | 0.171433i | ||||
\(298\) | −0.907604 | − | 0.761570i | −0.0525761 | − | 0.0441166i | ||||
\(299\) | 8.70961 | + | 3.17004i | 0.503690 | + | 0.183328i | ||||
\(300\) | −6.23783 | + | 2.27038i | −0.360141 | + | 0.131081i | ||||
\(301\) | −15.5876 | + | 13.0796i | −0.898457 | + | 0.753895i | ||||
\(302\) | 0.631759 | + | 3.58288i | 0.0363537 | + | 0.206172i | ||||
\(303\) | −4.64590 | −0.266900 | ||||||||
\(304\) | 0.354570 | + | 4.34445i | 0.0203360 | + | 0.249172i | ||||
\(305\) | 23.5449 | 1.34818 | ||||||||
\(306\) | −0.205737 | − | 1.16679i | −0.0117612 | − | 0.0667011i | ||||
\(307\) | −19.1689 | + | 16.0846i | −1.09403 | + | 0.917998i | −0.997009 | − | 0.0772850i | \(-0.975375\pi\) |
−0.0970179 | + | 0.995283i | \(0.530930\pi\) | |||||||
\(308\) | −15.6420 | + | 5.69323i | −0.891287 | + | 0.324402i | ||||
\(309\) | 11.6356 | + | 4.23502i | 0.661928 | + | 0.240922i | ||||
\(310\) | −17.2895 | − | 14.5076i | −0.981978 | − | 0.823978i | ||||
\(311\) | −11.9868 | + | 20.7617i | −0.679709 | + | 1.17729i | 0.295360 | + | 0.955386i | \(0.404561\pi\) |
−0.975068 | + | 0.221904i | \(0.928773\pi\) | |||||||
\(312\) | 1.35844 | + | 2.35289i | 0.0769066 | + | 0.133206i | ||||
\(313\) | −2.19459 | + | 12.4462i | −0.124046 | + | 0.703498i | 0.857824 | + | 0.513943i | \(0.171816\pi\) |
−0.981870 | + | 0.189555i | \(0.939295\pi\) | |||||||
\(314\) | −1.08899 | + | 6.17598i | −0.0614554 | + | 0.348531i | ||||
\(315\) | 8.32295 | + | 14.4158i | 0.468945 | + | 0.812237i | ||||
\(316\) | −0.148833 | + | 0.257787i | −0.00837252 | + | 0.0145016i | ||||
\(317\) | −10.8268 | − | 9.08478i | −0.608095 | − | 0.510252i | 0.285941 | − | 0.958247i | \(-0.407694\pi\) |
−0.894036 | + | 0.447995i | \(0.852138\pi\) | |||||||
\(318\) | 0.592396 | + | 0.215615i | 0.0332199 | + | 0.0120911i | ||||
\(319\) | 12.0963 | − | 4.40268i | 0.677261 | − | 0.246503i | ||||
\(320\) | 2.61334 | − | 2.19285i | 0.146090 | − | 0.122584i | ||||
\(321\) | 0.677052 | + | 3.83975i | 0.0377893 | + | 0.214314i | ||||
\(322\) | −16.6459 | −0.927640 | ||||||||
\(323\) | −4.66772 | − | 2.20983i | −0.259719 | − | 0.122958i | ||||
\(324\) | 1.00000 | 0.0555556 | ||||||||
\(325\) | 3.13176 | + | 17.7611i | 0.173719 | + | 0.985208i | ||||
\(326\) | 14.7836 | − | 12.4049i | 0.818787 | − | 0.687044i | ||||
\(327\) | 10.8969 | − | 3.96616i | 0.602601 | − | 0.219329i | ||||
\(328\) | 6.15910 | + | 2.24173i | 0.340079 | + | 0.123779i | ||||
\(329\) | −10.6793 | − | 8.96102i | −0.588770 | − | 0.494037i | ||||
\(330\) | −5.81908 | + | 10.0789i | −0.320330 | + | 0.554827i | ||||
\(331\) | −14.7490 | − | 25.5460i | −0.810677 | − | 1.40413i | −0.912391 | − | 0.409320i | \(-0.865766\pi\) |
0.101714 | − | 0.994814i | \(-0.467567\pi\) | |||||||
\(332\) | 2.70961 | − | 15.3669i | 0.148709 | − | 0.843371i | ||||
\(333\) | 1.17365 | − | 6.65609i | 0.0643155 | − | 0.364751i | ||||
\(334\) | −3.86097 | − | 6.68739i | −0.211263 | − | 0.365918i | ||||
\(335\) | −1.20961 | + | 2.09510i | −0.0660879 | + | 0.114468i | ||||
\(336\) | −3.73783 | − | 3.13641i | −0.203915 | − | 0.171105i | ||||
\(337\) | 20.9072 | + | 7.60960i | 1.13889 | + | 0.414521i | 0.841511 | − | 0.540239i | \(-0.181666\pi\) |
0.297376 | + | 0.954760i | \(0.403889\pi\) | |||||||
\(338\) | −5.27972 | + | 1.92166i | −0.287179 | + | 0.104524i | ||||
\(339\) | 1.48680 | − | 1.24757i | 0.0807517 | − | 0.0677587i | ||||
\(340\) | 0.701867 | + | 3.98048i | 0.0380641 | + | 0.215872i | ||||
\(341\) | −22.5699 | −1.22223 | ||||||||
\(342\) | 2.52094 | − | 3.55596i | 0.136317 | − | 0.192284i | ||||
\(343\) | −47.8590 | −2.58414 | ||||||||
\(344\) | −0.724155 | − | 4.10689i | −0.0390438 | − | 0.221429i | ||||
\(345\) | −8.91534 | + | 7.48086i | −0.479986 | + | 0.402756i | ||||
\(346\) | −13.6211 | + | 4.95767i | −0.732274 | + | 0.266526i | ||||
\(347\) | 13.1792 | + | 4.79682i | 0.707495 | + | 0.257507i | 0.670607 | − | 0.741812i | \(-0.266034\pi\) |
0.0368873 | + | 0.999319i | \(0.488256\pi\) | |||||||
\(348\) | 2.89053 | + | 2.42544i | 0.154949 | + | 0.130017i | ||||
\(349\) | 17.0560 | − | 29.5419i | 0.912988 | − | 1.58134i | 0.103168 | − | 0.994664i | \(-0.467102\pi\) |
0.809820 | − | 0.586678i | \(-0.199565\pi\) | |||||||
\(350\) | −16.1951 | − | 28.0507i | −0.865662 | − | 1.49937i | ||||
\(351\) | 0.471782 | − | 2.67561i | 0.0251818 | − | 0.142813i | ||||
\(352\) | 0.592396 | − | 3.35965i | 0.0315748 | − | 0.179070i | ||||
\(353\) | −15.2219 | − | 26.3652i | −0.810182 | − | 1.40328i | −0.912737 | − | 0.408549i | \(-0.866035\pi\) |
0.102555 | − | 0.994727i | \(-0.467298\pi\) | |||||||
\(354\) | 5.81908 | − | 10.0789i | 0.309280 | − | 0.535690i | ||||
\(355\) | 20.7973 | + | 17.4510i | 1.10380 | + | 0.926201i | ||||
\(356\) | −6.36484 | − | 2.31661i | −0.337336 | − | 0.122780i | ||||
\(357\) | 5.43242 | − | 1.97724i | 0.287514 | − | 0.104647i | ||||
\(358\) | 7.52481 | − | 6.31407i | 0.397699 | − | 0.333709i | ||||
\(359\) | 2.36959 | + | 13.4386i | 0.125062 | + | 0.709261i | 0.981271 | + | 0.192632i | \(0.0617024\pi\) |
−0.856209 | + | 0.516629i | \(0.827187\pi\) | |||||||
\(360\) | −3.41147 | −0.179800 | ||||||||
\(361\) | −6.28968 | − | 17.9287i | −0.331036 | − | 0.943618i | ||||
\(362\) | −18.9145 | −0.994122 | ||||||||
\(363\) | 0.110815 | + | 0.628461i | 0.00581626 | + | 0.0329856i | ||||
\(364\) | −10.1552 | + | 8.52125i | −0.532279 | + | 0.446635i | ||||
\(365\) | 40.8546 | − | 14.8699i | 2.13843 | − | 0.778324i | ||||
\(366\) | 6.48545 | + | 2.36051i | 0.339000 | + | 0.123386i | ||||
\(367\) | 18.2062 | + | 15.2768i | 0.950356 | + | 0.797443i | 0.979357 | − | 0.202136i | \(-0.0647883\pi\) |
−0.0290014 | + | 0.999579i | \(0.509233\pi\) | |||||||
\(368\) | 1.70574 | − | 2.95442i | 0.0889177 | − | 0.154010i | ||||
\(369\) | −3.27719 | − | 5.67626i | −0.170604 | − | 0.295494i | ||||
\(370\) | −4.00387 | + | 22.7071i | −0.208151 | + | 1.18048i | ||||
\(371\) | −0.534148 | + | 3.02931i | −0.0277316 | + | 0.157274i | ||||
\(372\) | −3.30793 | − | 5.72951i | −0.171508 | − | 0.297061i | ||||
\(373\) | 11.6172 | − | 20.1216i | 0.601516 | − | 1.04186i | −0.391075 | − | 0.920359i | \(-0.627897\pi\) |
0.992592 | − | 0.121498i | \(-0.0387699\pi\) | |||||||
\(374\) | 3.09627 | + | 2.59808i | 0.160104 | + | 0.134343i | ||||
\(375\) | −5.25150 | − | 1.91139i | −0.271186 | − | 0.0987037i | ||||
\(376\) | 2.68479 | − | 0.977185i | 0.138458 | − | 0.0503944i | ||||
\(377\) | 7.85323 | − | 6.58964i | 0.404462 | − | 0.339384i | ||||
\(378\) | 0.847296 | + | 4.80526i | 0.0435802 | + | 0.247156i | ||||
\(379\) | −4.50030 | −0.231165 | −0.115583 | − | 0.993298i | \(-0.536873\pi\) | ||||
−0.115583 | + | 0.993298i | \(0.536873\pi\) | |||||||
\(380\) | −8.60014 | + | 12.1311i | −0.441178 | + | 0.622310i | ||||
\(381\) | −6.08378 | −0.311681 | ||||||||
\(382\) | 1.75237 | + | 9.93821i | 0.0896592 | + | 0.508483i | ||||
\(383\) | 3.34002 | − | 2.80261i | 0.170667 | − | 0.143207i | −0.553453 | − | 0.832880i | \(-0.686690\pi\) |
0.724121 | + | 0.689673i | \(0.242246\pi\) | |||||||
\(384\) | 0.939693 | − | 0.342020i | 0.0479535 | − | 0.0174536i | ||||
\(385\) | −53.3624 | − | 19.4223i | −2.71960 | − | 0.989853i | ||||
\(386\) | −1.93376 | − | 1.62262i | −0.0984259 | − | 0.0825892i | ||||
\(387\) | −2.08512 | + | 3.61154i | −0.105993 | + | 0.183585i | ||||
\(388\) | 3.56283 | + | 6.17101i | 0.180875 | + | 0.313286i | ||||
\(389\) | −0.227559 | + | 1.29055i | −0.0115377 | + | 0.0654335i | −0.990033 | − | 0.140836i | \(-0.955021\pi\) |
0.978495 | + | 0.206269i | \(0.0661322\pi\) | |||||||
\(390\) | −1.60947 | + | 9.12776i | −0.0814987 | + | 0.462202i | ||||
\(391\) | 2.02094 | + | 3.50038i | 0.102204 | + | 0.177022i | ||||
\(392\) | 8.40420 | − | 14.5565i | 0.424476 | − | 0.735214i | ||||
\(393\) | −14.2515 | − | 11.9584i | −0.718893 | − | 0.603223i | ||||
\(394\) | 13.9611 | + | 5.08143i | 0.703350 | + | 0.255999i | ||||
\(395\) | −0.954241 | + | 0.347315i | −0.0480131 | + | 0.0174753i | ||||
\(396\) | −2.61334 | + | 2.19285i | −0.131325 | + | 0.110195i | ||||
\(397\) | −3.30154 | − | 18.7239i | −0.165699 | − | 0.939728i | −0.948340 | − | 0.317255i | \(-0.897239\pi\) |
0.782641 | − | 0.622473i | \(-0.213872\pi\) | |||||||
\(398\) | −8.06923 | −0.404474 | ||||||||
\(399\) | 19.2233 | + | 9.10083i | 0.962368 | + | 0.455612i | ||||
\(400\) | 6.63816 | 0.331908 | ||||||||
\(401\) | 6.22756 | + | 35.3182i | 0.310989 | + | 1.76371i | 0.593877 | + | 0.804556i | \(0.297597\pi\) |
−0.282888 | + | 0.959153i | \(0.591292\pi\) | |||||||
\(402\) | −0.543233 | + | 0.455827i | −0.0270940 | + | 0.0227346i | ||||
\(403\) | −16.8905 | + | 6.14765i | −0.841377 | + | 0.306236i | ||||
\(404\) | 4.36571 | + | 1.58899i | 0.217202 | + | 0.0790552i | ||||
\(405\) | 2.61334 | + | 2.19285i | 0.129858 | + | 0.108964i | ||||
\(406\) | −9.20574 | + | 15.9448i | −0.456873 | + | 0.791327i | ||||
\(407\) | 11.5287 | + | 19.9683i | 0.571456 | + | 0.989790i | ||||
\(408\) | −0.205737 | + | 1.16679i | −0.0101855 | + | 0.0577649i | ||||
\(409\) | −5.05468 | + | 28.6665i | −0.249938 | + | 1.41747i | 0.558801 | + | 0.829301i | \(0.311261\pi\) |
−0.808739 | + | 0.588167i | \(0.799850\pi\) | |||||||
\(410\) | 11.1800 | + | 19.3644i | 0.552143 | + | 0.956340i | ||||
\(411\) | −2.27332 | + | 3.93750i | −0.112135 | + | 0.194223i | ||||
\(412\) | −9.48545 | − | 7.95924i | −0.467315 | − | 0.392124i | ||||
\(413\) | 53.3624 | + | 19.4223i | 2.62579 | + | 0.955710i | ||||
\(414\) | −3.20574 | + | 1.16679i | −0.157553 | + | 0.0573447i | ||||
\(415\) | 40.7786 | − | 34.2173i | 2.00174 | − | 1.67966i | ||||
\(416\) | −0.471782 | − | 2.67561i | −0.0231310 | − | 0.131182i | ||||
\(417\) | −3.01455 | −0.147623 | ||||||||
\(418\) | 1.20961 | + | 14.8210i | 0.0591638 | + | 0.724918i | ||||
\(419\) | 13.1584 | 0.642829 | 0.321415 | − | 0.946939i | \(-0.395842\pi\) | ||||
0.321415 | + | 0.946939i | \(0.395842\pi\) | |||||||
\(420\) | −2.89053 | − | 16.3930i | −0.141043 | − | 0.799897i | ||||
\(421\) | −0.115400 | + | 0.0968323i | −0.00562426 | + | 0.00471932i | −0.645595 | − | 0.763680i | \(-0.723391\pi\) |
0.639971 | + | 0.768399i | \(0.278946\pi\) | |||||||
\(422\) | 7.46451 | − | 2.71686i | 0.363367 | − | 0.132255i | ||||
\(423\) | −2.68479 | − | 0.977185i | −0.130539 | − | 0.0475123i | ||||
\(424\) | −0.482926 | − | 0.405223i | −0.0234530 | − | 0.0196794i | ||||
\(425\) | −3.93242 | + | 6.81115i | −0.190750 | + | 0.330389i | ||||
\(426\) | 3.97906 | + | 6.89193i | 0.192786 | + | 0.333915i | ||||
\(427\) | −5.84776 | + | 33.1643i | −0.282993 | + | 1.60493i | ||||
\(428\) | 0.677052 | − | 3.83975i | 0.0327265 | − | 0.185601i | ||||
\(429\) | 4.63429 | + | 8.02682i | 0.223745 | + | 0.387538i | ||||
\(430\) | 7.11334 | − | 12.3207i | 0.343036 | − | 0.594155i | ||||
\(431\) | −23.5915 | − | 19.7956i | −1.13636 | − | 0.953522i | −0.137050 | − | 0.990564i | \(-0.543762\pi\) |
−0.999314 | + | 0.0370420i | \(0.988206\pi\) | |||||||
\(432\) | −0.939693 | − | 0.342020i | −0.0452110 | − | 0.0164555i | ||||
\(433\) | 27.6587 | − | 10.0669i | 1.32919 | − | 0.483786i | 0.422800 | − | 0.906223i | \(-0.361047\pi\) |
0.906392 | + | 0.422437i | \(0.138825\pi\) | |||||||
\(434\) | 24.7290 | − | 20.7501i | 1.18703 | − | 0.996035i | ||||
\(435\) | 2.23530 | + | 12.6770i | 0.107174 | + | 0.607816i | ||||
\(436\) | −11.5963 | −0.555360 | ||||||||
\(437\) | −3.93242 | + | 14.3409i | −0.188113 | + | 0.686018i | ||||
\(438\) | 12.7442 | 0.608943 | ||||||||
\(439\) | 3.43835 | + | 19.4998i | 0.164103 | + | 0.930677i | 0.949984 | + | 0.312298i | \(0.101099\pi\) |
−0.785881 | + | 0.618378i | \(0.787790\pi\) | |||||||
\(440\) | 8.91534 | − | 7.48086i | 0.425022 | − | 0.356636i | ||||
\(441\) | −15.7947 | + | 5.74881i | −0.752130 | + | 0.273753i | ||||
\(442\) | 3.02481 | + | 1.10094i | 0.143876 | + | 0.0523665i | ||||
\(443\) | −14.2383 | − | 11.9473i | −0.676482 | − | 0.567636i | 0.238494 | − | 0.971144i | \(-0.423346\pi\) |
−0.914976 | + | 0.403508i | \(0.867791\pi\) | |||||||
\(444\) | −3.37939 | + | 5.85327i | −0.160379 | + | 0.277784i | ||||
\(445\) | −11.5535 | − | 20.0112i | −0.547688 | − | 0.948624i | ||||
\(446\) | −2.07826 | + | 11.7864i | −0.0984084 | + | 0.558102i | ||||
\(447\) | 0.205737 | − | 1.16679i | 0.00973103 | − | 0.0551874i | ||||
\(448\) | 2.43969 | + | 4.22567i | 0.115265 | + | 0.199644i | ||||
\(449\) | −1.68954 | + | 2.92637i | −0.0797343 | + | 0.138104i | −0.903135 | − | 0.429356i | \(-0.858741\pi\) |
0.823401 | + | 0.567460i | \(0.192074\pi\) | |||||||
\(450\) | −5.08512 | − | 4.26692i | −0.239715 | − | 0.201145i | ||||
\(451\) | 21.0116 | + | 7.64760i | 0.989398 | + | 0.360111i | ||||
\(452\) | −1.82383 | + | 0.663818i | −0.0857855 | + | 0.0312234i | ||||
\(453\) | −2.78699 | + | 2.33856i | −0.130944 | + | 0.109875i | ||||
\(454\) | −4.61809 | − | 26.1905i | −0.216738 | − | 1.22918i | ||||
\(455\) | −45.2249 | −2.12018 | ||||||||
\(456\) | −3.58512 | + | 2.47929i | −0.167889 | + | 0.116104i | ||||
\(457\) | 21.7912 | 1.01935 | 0.509674 | − | 0.860368i | \(-0.329766\pi\) | ||||
0.509674 | + | 0.860368i | \(0.329766\pi\) | |||||||
\(458\) | 3.45605 | + | 19.6002i | 0.161491 | + | 0.915859i | ||||
\(459\) | 0.907604 | − | 0.761570i | 0.0423633 | − | 0.0355470i | ||||
\(460\) | 10.9363 | − | 3.98048i | 0.509907 | − | 0.185591i | ||||
\(461\) | −11.0544 | − | 4.02346i | −0.514854 | − | 0.187391i | 0.0715092 | − | 0.997440i | \(-0.477218\pi\) |
−0.586363 | + | 0.810049i | \(0.699441\pi\) | |||||||
\(462\) | −12.7515 | − | 10.6998i | −0.593253 | − | 0.497799i | ||||
\(463\) | −8.49660 | + | 14.7165i | −0.394870 | + | 0.683935i | −0.993085 | − | 0.117401i | \(-0.962544\pi\) |
0.598214 | + | 0.801336i | \(0.295877\pi\) | |||||||
\(464\) | −1.88666 | − | 3.26779i | −0.0875860 | − | 0.151703i | ||||
\(465\) | 3.91921 | − | 22.2270i | 0.181749 | − | 1.03075i | ||||
\(466\) | 0.748503 | − | 4.24497i | 0.0346738 | − | 0.196645i | ||||
\(467\) | 5.85251 | + | 10.1368i | 0.270822 | + | 0.469077i | 0.969073 | − | 0.246776i | \(-0.0793712\pi\) |
−0.698251 | + | 0.715853i | \(0.746038\pi\) | |||||||
\(468\) | −1.35844 | + | 2.35289i | −0.0627939 | + | 0.108762i | ||||
\(469\) | −2.65064 | − | 2.22415i | −0.122395 | − | 0.102702i | ||||
\(470\) | 9.15910 | + | 3.33364i | 0.422478 | + | 0.153769i | ||||
\(471\) | −5.89306 | + | 2.14490i | −0.271538 | + | 0.0988316i | ||||
\(472\) | −8.91534 | + | 7.48086i | −0.410362 | + | 0.344335i | ||||
\(473\) | −2.47044 | − | 14.0105i | −0.113591 | − | 0.644206i | ||||
\(474\) | −0.297667 | −0.0136723 | ||||||||
\(475\) | −27.9923 | + | 7.32580i | −1.28438 | + | 0.336131i | ||||
\(476\) | −5.78106 | −0.264974 | ||||||||
\(477\) | 0.109470 | + | 0.620838i | 0.00501231 | + | 0.0284262i | ||||
\(478\) | −0.218941 | + | 0.183713i | −0.0100141 | + | 0.00840284i | ||||
\(479\) | −28.1716 | + | 10.2536i | −1.28719 | + | 0.468500i | −0.892805 | − | 0.450444i | \(-0.851266\pi\) |
−0.394388 | + | 0.918944i | \(0.629043\pi\) | |||||||
\(480\) | 3.20574 | + | 1.16679i | 0.146321 | + | 0.0532566i | ||||
\(481\) | 14.0667 | + | 11.8034i | 0.641386 | + | 0.538187i | ||||
\(482\) | 4.78312 | − | 8.28460i | 0.217865 | − | 0.377353i | ||||
\(483\) | −8.32295 | − | 14.4158i | −0.378707 | − | 0.655940i | ||||
\(484\) | 0.110815 | − | 0.628461i | 0.00503703 | − | 0.0285664i | ||||
\(485\) | −4.22122 | + | 23.9397i | −0.191676 | + | 1.08705i | ||||
\(486\) | 0.500000 | + | 0.866025i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | −7.25537 | + | 12.5667i | −0.328772 | + | 0.569450i | −0.982268 | − | 0.187480i | \(-0.939968\pi\) |
0.653496 | + | 0.756930i | \(0.273301\pi\) | |||||||
\(488\) | −5.28699 | − | 4.43631i | −0.239331 | − | 0.200822i | ||||
\(489\) | 18.1348 | + | 6.60051i | 0.820082 | + | 0.298485i | ||||
\(490\) | 53.8833 | − | 19.6119i | 2.43420 | − | 0.885976i | ||||
\(491\) | −8.92855 | + | 7.49194i | −0.402940 | + | 0.338107i | −0.821629 | − | 0.570023i | \(-0.806934\pi\) |
0.418689 | + | 0.908130i | \(0.362490\pi\) | |||||||
\(492\) | 1.13816 | + | 6.45480i | 0.0513120 | + | 0.291005i | ||||
\(493\) | 4.47060 | 0.201346 | ||||||||
\(494\) | 4.94222 | + | 10.7621i | 0.222361 | + | 0.484208i | ||||
\(495\) | −11.6382 | −0.523096 | ||||||||
\(496\) | 1.14883 | + | 6.51536i | 0.0515841 | + | 0.292548i | ||||
\(497\) | −29.7460 | + | 24.9599i | −1.33429 | + | 1.11960i | ||||
\(498\) | 14.6630 | − | 5.33688i | 0.657063 | − | 0.239152i | ||||
\(499\) | 1.58512 | + | 0.576937i | 0.0709598 | + | 0.0258273i | 0.377256 | − | 0.926109i | \(-0.376868\pi\) |
−0.306296 | + | 0.951936i | \(0.599090\pi\) | |||||||
\(500\) | 4.28106 | + | 3.59224i | 0.191455 | + | 0.160650i | ||||
\(501\) | 3.86097 | − | 6.68739i | 0.172495 | − | 0.298771i | ||||
\(502\) | 14.8439 | + | 25.7104i | 0.662515 | + | 1.14751i | ||||
\(503\) | 3.00299 | − | 17.0308i | 0.133897 | − | 0.759367i | −0.841725 | − | 0.539907i | \(-0.818459\pi\) |
0.975622 | − | 0.219460i | \(-0.0704295\pi\) | |||||||
\(504\) | 0.847296 | − | 4.80526i | 0.0377416 | − | 0.214043i | ||||
\(505\) | 7.92468 | + | 13.7259i | 0.352644 | + | 0.610797i | ||||
\(506\) | 5.81908 | − | 10.0789i | 0.258690 | − | 0.448063i | ||||
\(507\) | −4.30406 | − | 3.61154i | −0.191150 | − | 0.160394i | ||||
\(508\) | 5.71688 | + | 2.08077i | 0.253646 | + | 0.0923194i | ||||
\(509\) | −30.4859 | + | 11.0960i | −1.35126 | + | 0.491820i | −0.913342 | − | 0.407193i | \(-0.866508\pi\) |
−0.437922 | + | 0.899013i | \(0.644286\pi\) | |||||||
\(510\) | −3.09627 | + | 2.59808i | −0.137105 | + | 0.115045i | ||||
\(511\) | 10.7981 | + | 61.2393i | 0.477681 | + | 2.70907i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 4.34002 | + | 0.405223i | 0.191617 | + | 0.0178910i | ||||
\(514\) | −15.7965 | −0.696756 | ||||||||
\(515\) | −7.33527 | − | 41.6004i | −0.323231 | − | 1.83313i | ||||
\(516\) | 3.19459 | − | 2.68058i | 0.140634 | − | 0.118006i | ||||
\(517\) | 9.15910 | − | 3.33364i | 0.402817 | − | 0.146613i | ||||
\(518\) | −30.9898 | − | 11.2794i | −1.36161 | − | 0.495587i | ||||
\(519\) | −11.1040 | − | 9.31737i | −0.487412 | − | 0.408987i | ||||
\(520\) | 4.63429 | − | 8.02682i | 0.203227 | − | 0.351999i | ||||
\(521\) | −15.5822 | − | 26.9891i | −0.682668 | − | 1.18242i | −0.974164 | − | 0.225843i | \(-0.927486\pi\) |
0.291496 | − | 0.956572i | \(-0.405847\pi\) | |||||||
\(522\) | −0.655230 | + | 3.71599i | −0.0286786 | + | 0.162645i | ||||
\(523\) | −2.89306 | + | 16.4073i | −0.126504 | + | 0.717443i | 0.853898 | + | 0.520440i | \(0.174232\pi\) |
−0.980403 | + | 0.197003i | \(0.936879\pi\) | |||||||
\(524\) | 9.30200 | + | 16.1115i | 0.406360 | + | 0.703836i | ||||
\(525\) | 16.1951 | − | 28.0507i | 0.706810 | − | 1.22423i | ||||
\(526\) | −8.32295 | − | 6.98378i | −0.362898 | − | 0.304507i | ||||
\(527\) | −7.36571 | − | 2.68090i | −0.320856 | − | 0.116782i | ||||
\(528\) | 3.20574 | − | 1.16679i | 0.139512 | − | 0.0507781i | ||||
\(529\) | −8.70368 | + | 7.30325i | −0.378421 | + | 0.317533i | ||||
\(530\) | −0.373455 | − | 2.11797i | −0.0162219 | − | 0.0919988i | ||||
\(531\) | 11.6382 | 0.505053 | ||||||||
\(532\) | −14.9513 | − | 15.1267i | −0.648221 | − | 0.655827i | ||||
\(533\) | 17.8075 | 0.771327 | ||||||||
\(534\) | −1.17617 | − | 6.67042i | −0.0508980 | − | 0.288657i | ||||
\(535\) | 10.1894 | − | 8.54990i | 0.440525 | − | 0.369645i | ||||
\(536\) | 0.666374 | − | 0.242540i | 0.0287830 | − | 0.0104761i | ||||
\(537\) | 9.23055 | + | 3.35965i | 0.398328 | + | 0.144979i | ||||
\(538\) | 13.2476 | + | 11.1161i | 0.571146 | + | 0.479248i | ||||
\(539\) | 28.6707 | − | 49.6591i | 1.23493 | − | 2.13897i | ||||
\(540\) | −1.70574 | − | 2.95442i | −0.0734032 | − | 0.127138i | ||||
\(541\) | 6.29385 | − | 35.6942i | 0.270594 | − | 1.53461i | −0.482025 | − | 0.876157i | \(-0.660099\pi\) |
0.752619 | − | 0.658456i | \(-0.228790\pi\) | |||||||
\(542\) | −0.251030 | + | 1.42366i | −0.0107826 | + | 0.0611514i | ||||
\(543\) | −9.45723 | − | 16.3804i | −0.405849 | − | 0.702951i | ||||
\(544\) | 0.592396 | − | 1.02606i | 0.0253988 | − | 0.0439920i | ||||
\(545\) | −30.3050 | − | 25.4289i | −1.29812 | − | 1.08925i | ||||
\(546\) | −12.4572 | − | 4.53406i | −0.533120 | − | 0.194040i | ||||
\(547\) | 16.1604 | − | 5.88192i | 0.690971 | − | 0.251493i | 0.0274199 | − | 0.999624i | \(-0.491271\pi\) |
0.663551 | + | 0.748131i | \(0.269049\pi\) | |||||||
\(548\) | 3.48293 | − | 2.92252i | 0.148783 | − | 0.124844i | ||||
\(549\) | 1.19846 | + | 6.79682i | 0.0511492 | + | 0.290081i | ||||
\(550\) | 22.6459 | 0.965624 | ||||||||
\(551\) | 11.5621 | + | 11.6978i | 0.492563 | + | 0.498342i | ||||
\(552\) | 3.41147 | 0.145202 | ||||||||
\(553\) | −0.252212 | − | 1.43036i | −0.0107251 | − | 0.0608253i | ||||
\(554\) | −16.2331 | + | 13.6212i | −0.689677 | + | 0.578708i | ||||
\(555\) | −21.6668 | + | 7.88609i | −0.919706 | + | 0.334746i | ||||
\(556\) | 2.83275 | + | 1.03104i | 0.120135 | + | 0.0437257i | ||||
\(557\) | −12.6932 | − | 10.6509i | −0.537830 | − | 0.451293i | 0.332965 | − | 0.942939i | \(-0.391951\pi\) |
−0.870795 | + | 0.491646i | \(0.836395\pi\) | |||||||
\(558\) | 3.30793 | − | 5.72951i | 0.140036 | − | 0.242549i | ||||
\(559\) | −5.66503 | − | 9.81212i | −0.239605 | − | 0.415008i | ||||
\(560\) | −2.89053 | + | 16.3930i | −0.122147 | + | 0.692731i | ||||
\(561\) | −0.701867 | + | 3.98048i | −0.0296328 | + | 0.168056i | ||||
\(562\) | −12.1839 | − | 21.1032i | −0.513947 | − | 0.890183i | ||||
\(563\) | 15.3486 | − | 26.5846i | 0.646868 | − | 1.12041i | −0.336999 | − | 0.941505i | \(-0.609412\pi\) |
0.983867 | − | 0.178903i | \(-0.0572549\pi\) | |||||||
\(564\) | 2.18866 | + | 1.83651i | 0.0921593 | + | 0.0773309i | ||||
\(565\) | −6.22193 | − | 2.26460i | −0.261759 | − | 0.0952724i | ||||
\(566\) | −3.87686 | + | 1.41106i | −0.162957 | + | 0.0593113i | ||||
\(567\) | −3.73783 | + | 3.13641i | −0.156974 | + | 0.131717i | ||||
\(568\) | −1.38191 | − | 7.83721i | −0.0579837 | − | 0.328842i | ||||
\(569\) | 13.4534 | 0.563994 | 0.281997 | − | 0.959415i | \(-0.409003\pi\) | ||||
0.281997 | + | 0.959415i | \(0.409003\pi\) | |||||||
\(570\) | −14.8059 | − | 1.38241i | −0.620150 | − | 0.0579027i | ||||
\(571\) | −9.47565 | −0.396544 | −0.198272 | − | 0.980147i | \(-0.563533\pi\) | ||||
−0.198272 | + | 0.980147i | \(0.563533\pi\) | |||||||
\(572\) | −1.60947 | − | 9.12776i | −0.0672953 | − | 0.381651i | ||||
\(573\) | −7.73055 | + | 6.48670i | −0.322948 | + | 0.270986i | ||||
\(574\) | −30.0526 | + | 10.9383i | −1.25437 | + | 0.456554i | ||||
\(575\) | 21.2802 | + | 7.74535i | 0.887445 | + | 0.323004i | ||||
\(576\) | 0.766044 | + | 0.642788i | 0.0319185 | + | 0.0267828i | ||||
\(577\) | 9.38191 | − | 16.2499i | 0.390574 | − | 0.676494i | −0.601951 | − | 0.798533i | \(-0.705610\pi\) |
0.992525 | + | 0.122039i | \(0.0389432\pi\) | |||||||
\(578\) | −7.79813 | − | 13.5068i | −0.324360 | − | 0.561807i | ||||
\(579\) | 0.438348 | − | 2.48600i | 0.0182171 | − | 0.103315i | ||||
\(580\) | 2.23530 | − | 12.6770i | 0.0928158 | − | 0.526384i | ||||
\(581\) | 38.0690 | + | 65.9374i | 1.57937 | + | 2.73554i | ||||
\(582\) | −3.56283 | + | 6.17101i | −0.147684 | + | 0.255797i | ||||
\(583\) | −1.64749 | − | 1.38241i | −0.0682320 | − | 0.0572535i | ||||
\(584\) | −11.9757 | − | 4.35878i | −0.495556 | − | 0.180368i | ||||
\(585\) | −8.70961 | + | 3.17004i | −0.360098 | + | 0.131065i | ||||
\(586\) | −2.13041 | + | 1.78763i | −0.0880066 | + | 0.0738463i | ||||
\(587\) | −3.15611 | − | 17.8992i | −0.130266 | − | 0.738778i | −0.978040 | − | 0.208419i | \(-0.933168\pi\) |
0.847773 | − | 0.530359i | \(-0.177943\pi\) | |||||||
\(588\) | 16.8084 | 0.693167 | ||||||||
\(589\) | −12.0348 | − | 26.2066i | −0.495884 | − | 1.07983i | ||||
\(590\) | −39.7033 | −1.63456 | ||||||||
\(591\) | 2.57991 | + | 14.6314i | 0.106123 | + | 0.601855i | ||||
\(592\) | 5.17752 | − | 4.34445i | 0.212795 | − | 0.178556i | ||||
\(593\) | 30.7221 | − | 11.1819i | 1.26161 | − | 0.459187i | 0.377298 | − | 0.926092i | \(-0.376853\pi\) |
0.884307 | + | 0.466905i | \(0.154631\pi\) | |||||||
\(594\) | −3.20574 | − | 1.16679i | −0.131533 | − | 0.0478741i | ||||
\(595\) | −15.1079 | − | 12.6770i | −0.619363 | − | 0.519707i | ||||
\(596\) | −0.592396 | + | 1.02606i | −0.0242655 | + | 0.0420291i | ||||
\(597\) | −4.03462 | − | 6.98816i | −0.165126 | − | 0.286006i | ||||
\(598\) | 1.60947 | − | 9.12776i | 0.0658161 | − | 0.373262i | ||||
\(599\) | 1.53343 | − | 8.69653i | 0.0626544 | − | 0.355331i | −0.937322 | − | 0.348464i | \(-0.886703\pi\) |
0.999976 | − | 0.00686632i | \(-0.00218563\pi\) | |||||||
\(600\) | 3.31908 | + | 5.74881i | 0.135501 | + | 0.234694i | ||||
\(601\) | −16.5262 | + | 28.6241i | −0.674116 | + | 1.16760i | 0.302610 | + | 0.953114i | \(0.402142\pi\) |
−0.976726 | + | 0.214489i | \(0.931191\pi\) | |||||||
\(602\) | 15.5876 | + | 13.0796i | 0.635305 | + | 0.533084i | ||||
\(603\) | −0.666374 | − | 0.242540i | −0.0271369 | − | 0.00987701i | ||||
\(604\) | 3.41875 | − | 1.24432i | 0.139107 | − | 0.0506308i | ||||
\(605\) | 1.66772 | − | 1.39938i | 0.0678024 | − | 0.0568930i | ||||
\(606\) | 0.806751 | + | 4.57531i | 0.0327720 | + | 0.185859i | ||||
\(607\) | 5.16250 | 0.209540 | 0.104770 | − | 0.994497i | \(-0.466589\pi\) | ||||
0.104770 | + | 0.994497i | \(0.466589\pi\) | |||||||
\(608\) | 4.21688 | − | 1.10359i | 0.171017 | − | 0.0447565i | ||||
\(609\) | −18.4115 | −0.746071 | ||||||||
\(610\) | −4.08853 | − | 23.1872i | −0.165540 | − | 0.938822i | ||||
\(611\) | 5.94634 | − | 4.98957i | 0.240563 | − | 0.201856i | ||||
\(612\) | −1.11334 | + | 0.405223i | −0.0450041 | + | 0.0163802i | ||||
\(613\) | 44.2486 | + | 16.1052i | 1.78718 | + | 0.650481i | 0.999404 | + | 0.0345227i | \(0.0109911\pi\) |
0.787779 | + | 0.615959i | \(0.211231\pi\) | |||||||
\(614\) | 19.1689 | + | 16.0846i | 0.773594 | + | 0.649122i | ||||
\(615\) | −11.1800 | + | 19.3644i | −0.450823 | + | 0.780848i | ||||
\(616\) | 8.32295 | + | 14.4158i | 0.335341 | + | 0.580828i | ||||
\(617\) | −7.36009 | + | 41.7411i | −0.296306 | + | 1.68044i | 0.365540 | + | 0.930796i | \(0.380884\pi\) |
−0.661846 | + | 0.749640i | \(0.730227\pi\) | |||||||
\(618\) | 2.15018 | − | 12.1943i | 0.0864928 | − | 0.490525i | ||||
\(619\) | 0.928081 | + | 1.60748i | 0.0373027 | + | 0.0646102i | 0.884074 | − | 0.467347i | \(-0.154790\pi\) |
−0.846771 | + | 0.531957i | \(0.821457\pi\) | |||||||
\(620\) | −11.2849 | + | 19.5461i | −0.453214 | + | 0.784989i | ||||
\(621\) | −2.61334 | − | 2.19285i | −0.104870 | − | 0.0879962i | ||||
\(622\) | 22.5278 | + | 8.19945i | 0.903283 | + | 0.328768i | ||||
\(623\) | 31.0565 | − | 11.3036i | 1.24425 | − | 0.452871i | ||||
\(624\) | 2.08125 | − | 1.74638i | 0.0833168 | − | 0.0699111i | ||||
\(625\) | −2.45290 | − | 13.9111i | −0.0981159 | − | 0.556443i | ||||
\(626\) | 12.6382 | 0.505122 | ||||||||
\(627\) | −12.2306 | + | 8.45805i | −0.488441 | + | 0.337782i | ||||
\(628\) | 6.27126 | 0.250250 | ||||||||
\(629\) | 1.39053 | + | 7.88609i | 0.0554440 | + | 0.314439i | ||||
\(630\) | 12.7515 | − | 10.6998i | 0.508032 | − | 0.426289i | ||||
\(631\) | −23.1618 | + | 8.43020i | −0.922056 | + | 0.335601i | −0.759056 | − | 0.651025i | \(-0.774339\pi\) |
−0.163000 | + | 0.986626i | \(0.552117\pi\) | |||||||
\(632\) | 0.279715 | + | 0.101808i | 0.0111265 | + | 0.00404970i | ||||
\(633\) | 6.08512 | + | 5.10602i | 0.241862 | + | 0.202946i | ||||
\(634\) | −7.06670 | + | 12.2399i | −0.280655 | + | 0.486108i | ||||
\(635\) | 10.3773 | + | 17.9741i | 0.411812 | + | 0.713279i | ||||
\(636\) | 0.109470 | − | 0.620838i | 0.00434078 | − | 0.0246178i | ||||
\(637\) | 7.92989 | − | 44.9727i | 0.314194 | − | 1.78188i | ||||
\(638\) | −6.43629 | − | 11.1480i | −0.254815 | − | 0.441353i | ||||
\(639\) | −3.97906 | + | 6.89193i | −0.157409 | + | 0.272640i | ||||
\(640\) | −2.61334 | − | 2.19285i | −0.103301 | − | 0.0866801i | ||||
\(641\) | −16.5744 | − | 6.03260i | −0.654651 | − | 0.238274i | −0.00672584 | − | 0.999977i | \(-0.502141\pi\) |
−0.647925 | + | 0.761704i | \(0.724363\pi\) | |||||||
\(642\) | 3.66385 | − | 1.33353i | 0.144601 | − | 0.0526303i | ||||
\(643\) | 22.8653 | − | 19.1863i | 0.901720 | − | 0.756633i | −0.0688062 | − | 0.997630i | \(-0.521919\pi\) |
0.970526 | + | 0.240997i | \(0.0774746\pi\) | |||||||
\(644\) | 2.89053 | + | 16.3930i | 0.113903 | + | 0.645975i | ||||
\(645\) | 14.2267 | 0.560175 | ||||||||
\(646\) | −1.36571 | + | 4.98054i | −0.0537333 | + | 0.195957i | ||||
\(647\) | 23.9391 | 0.941144 | 0.470572 | − | 0.882362i | \(-0.344048\pi\) | ||||
0.470572 | + | 0.882362i | \(0.344048\pi\) | |||||||
\(648\) | −0.173648 | − | 0.984808i | −0.00682154 | − | 0.0386869i | ||||
\(649\) | −30.4145 | + | 25.5208i | −1.19387 | + | 1.00178i | ||||
\(650\) | 16.9474 | − | 6.16836i | 0.664733 | − | 0.241943i | ||||
\(651\) | 30.3346 | + | 11.0409i | 1.18891 | + | 0.432726i | ||||
\(652\) | −14.7836 | − | 12.4049i | −0.578970 | − | 0.485813i | ||||
\(653\) | 13.2430 | − | 22.9376i | 0.518240 | − | 0.897618i | −0.481535 | − | 0.876427i | \(-0.659921\pi\) |
0.999775 | − | 0.0211916i | \(-0.00674602\pi\) | |||||||
\(654\) | −5.79813 | − | 10.0427i | −0.226725 | − | 0.392699i | ||||
\(655\) | −11.0209 | + | 62.5029i | −0.430624 | + | 2.44219i | ||||
\(656\) | 1.13816 | − | 6.45480i | 0.0444375 | − | 0.252018i | ||||
\(657\) | 6.37211 | + | 11.0368i | 0.248600 | + | 0.430587i | ||||
\(658\) | −6.97044 | + | 12.0732i | −0.271736 | + | 0.470660i | ||||
\(659\) | −4.05509 | − | 3.40263i | −0.157964 | − | 0.132548i | 0.560380 | − | 0.828236i | \(-0.310655\pi\) |
−0.718344 | + | 0.695688i | \(0.755100\pi\) | |||||||
\(660\) | 10.9363 | + | 3.98048i | 0.425694 | + | 0.154940i | ||||
\(661\) | −43.3264 | + | 15.7695i | −1.68520 | + | 0.613363i | −0.994008 | − | 0.109306i | \(-0.965137\pi\) |
−0.691194 | + | 0.722669i | \(0.742915\pi\) | |||||||
\(662\) | −22.5967 | + | 18.9609i | −0.878247 | + | 0.736937i | ||||
\(663\) | 0.558963 | + | 3.17004i | 0.0217083 | + | 0.123114i | ||||
\(664\) | −15.6040 | −0.605553 | ||||||||
\(665\) | −5.90214 | − | 72.3173i | −0.228875 | − | 2.80435i | ||||
\(666\) | −6.75877 | −0.261897 | ||||||||
\(667\) | −2.23530 | − | 12.6770i | −0.0865512 | − | 0.490856i | ||||
\(668\) | −5.91534 | + | 4.96356i | −0.228872 | + | 0.192046i | ||||
\(669\) | −11.2464 | + | 4.09337i | −0.434813 | + | 0.158259i | ||||
\(670\) | 2.27332 | + | 0.827420i | 0.0878260 | + | 0.0319660i | ||||
\(671\) | −18.0364 | − | 15.1344i | −0.696289 | − | 0.584255i | ||||
\(672\) | −2.43969 | + | 4.22567i | −0.0941132 | + | 0.163009i | ||||
\(673\) | −1.19072 | − | 2.06239i | −0.0458990 | − | 0.0794994i | 0.842163 | − | 0.539223i | \(-0.181282\pi\) |
−0.888062 | + | 0.459723i | \(0.847949\pi\) | |||||||
\(674\) | 3.86349 | − | 21.9110i | 0.148816 | − | 0.843979i | ||||
\(675\) | 1.15270 | − | 6.53731i | 0.0443676 | − | 0.251621i | ||||
\(676\) | 2.80928 | + | 4.86581i | 0.108049 | + | 0.187147i | ||||
\(677\) | −7.97431 | + | 13.8119i | −0.306478 | + | 0.530835i | −0.977589 | − | 0.210522i | \(-0.932484\pi\) |
0.671112 | + | 0.741356i | \(0.265817\pi\) | |||||||
\(678\) | −1.48680 | − | 1.24757i | −0.0571001 | − | 0.0479126i | ||||
\(679\) | −32.6721 | − | 11.8917i | −1.25384 | − | 0.456360i | ||||
\(680\) | 3.79813 | − | 1.38241i | 0.145652 | − | 0.0530129i | ||||
\(681\) | 20.3726 | − | 17.0946i | 0.780679 | − | 0.655067i | ||||
\(682\) | 3.91921 | + | 22.2270i | 0.150074 | + | 0.851115i | ||||
\(683\) | −1.26083 | −0.0482443 | −0.0241222 | − | 0.999709i | \(-0.507679\pi\) | ||||
−0.0241222 | + | 0.999709i | \(0.507679\pi\) | |||||||
\(684\) | −3.93969 | − | 1.86516i | −0.150638 | − | 0.0713162i | ||||
\(685\) | 15.5107 | 0.592635 | ||||||||
\(686\) | 8.31062 | + | 47.1319i | 0.317301 | + | 1.79950i | ||||
\(687\) | −15.2463 | + | 12.7931i | −0.581682 | + | 0.488089i | ||||
\(688\) | −3.91875 | + | 1.42631i | −0.149401 | + | 0.0543775i | ||||
\(689\) | −1.60947 | − | 0.585799i | −0.0613159 | − | 0.0223172i | ||||
\(690\) | 8.91534 | + | 7.48086i | 0.339401 | + | 0.284792i | ||||
\(691\) | 4.05438 | − | 7.02239i | 0.154236 | − | 0.267144i | −0.778545 | − | 0.627589i | \(-0.784042\pi\) |
0.932780 | + | 0.360445i | \(0.117375\pi\) | |||||||
\(692\) | 7.24763 | + | 12.5533i | 0.275513 | + | 0.477203i | ||||
\(693\) | 2.89053 | − | 16.3930i | 0.109802 | − | 0.622719i | ||||
\(694\) | 2.43541 | − | 13.8119i | 0.0924470 | − | 0.524293i | ||||
\(695\) | 5.14203 | + | 8.90625i | 0.195048 | + | 0.337833i | ||||
\(696\) | 1.88666 | − | 3.26779i | 0.0715136 | − | 0.123865i | ||||
\(697\) | 5.94878 | + | 4.99162i | 0.225326 | + | 0.189071i | ||||
\(698\) | −32.0548 | − | 11.6670i | −1.21329 | − | 0.441603i | ||||
\(699\) | 4.05051 | − | 1.47426i | 0.153204 | − | 0.0557618i | ||||
\(700\) | −24.8123 | + | 20.8200i | −0.937816 | + | 0.786921i | ||||
\(701\) | 1.77615 | + | 10.0730i | 0.0670842 | + | 0.380454i | 0.999803 | + | 0.0198489i | \(0.00631853\pi\) |
−0.932719 | + | 0.360605i | \(0.882570\pi\) | |||||||
\(702\) | −2.71688 | −0.102542 | ||||||||
\(703\) | −17.0385 | + | 24.0339i | −0.642619 | + | 0.906456i | ||||
\(704\) | −3.41147 | −0.128575 | ||||||||
\(705\) | 1.69253 | + | 9.59883i | 0.0637445 | + | 0.361513i | ||||
\(706\) | −23.3214 | + | 19.5689i | −0.877711 | + | 0.736487i | ||||
\(707\) | −21.3020 | + | 7.75330i | −0.801144 | + | 0.291593i | ||||
\(708\) | −10.9363 | − | 3.98048i | −0.411011 | − | 0.149596i | ||||
\(709\) | 0.156574 | + | 0.131381i | 0.00588026 | + | 0.00493413i | 0.645723 | − | 0.763572i | \(-0.276556\pi\) |
−0.639843 | + | 0.768506i | \(0.721001\pi\) | |||||||
\(710\) | 13.5744 | − | 23.5116i | 0.509440 | − | 0.882376i | ||||
\(711\) | −0.148833 | − | 0.257787i | −0.00558168 | − | 0.00966776i | ||||
\(712\) | −1.17617 | + | 6.67042i | −0.0440790 | + | 0.249984i | ||||
\(713\) | −3.91921 | + | 22.2270i | −0.146776 | + | 0.832407i | ||||
\(714\) | −2.89053 | − | 5.00654i | −0.108175 | − | 0.187365i | ||||
\(715\) | 15.8097 | − | 27.3833i | 0.591251 | − | 1.02408i | ||||
\(716\) | −7.52481 | − | 6.31407i | −0.281216 | − | 0.235968i | ||||
\(717\) | −0.268571 | − | 0.0977517i | −0.0100300 | − | 0.00365061i | ||||
\(718\) | 12.8229 | − | 4.66717i | 0.478548 | − | 0.174177i | ||||
\(719\) | 12.2103 | − | 10.2457i | 0.455368 | − | 0.382099i | −0.386055 | − | 0.922476i | \(-0.626163\pi\) |
0.841423 | + | 0.540376i | \(0.181718\pi\) | |||||||
\(720\) | 0.592396 | + | 3.35965i | 0.0220773 | + | 0.125207i | ||||
\(721\) | 60.4184 | 2.25010 | ||||||||
\(722\) | −16.5642 | + | 9.30742i | −0.616455 | + | 0.346386i | ||||
\(723\) | 9.56624 | 0.355772 | ||||||||
\(724\) | 3.28446 | + | 18.6271i | 0.122066 | + | 0.692271i | ||||
\(725\) | 19.1878 | − | 16.1005i | 0.712616 | − | 0.597956i | ||||
\(726\) | 0.599670 | − | 0.218262i | 0.0222558 | − | 0.00810047i | ||||
\(727\) | 29.0959 | + | 10.5900i | 1.07911 | + | 0.392762i | 0.819575 | − | 0.572972i | \(-0.194210\pi\) |
0.259531 | + | 0.965735i | \(0.416432\pi\) | |||||||
\(728\) | 10.1552 | + | 8.52125i | 0.376378 | + | 0.315819i | ||||
\(729\) | −0.500000 | + | 0.866025i | −0.0185185 | + | 0.0320750i | ||||
\(730\) | −21.7383 | − | 37.6518i | −0.804570 | − | 1.39356i | ||||
\(731\) | 0.857974 | − | 4.86581i | 0.0317333 | − | 0.179969i | ||||
\(732\) | 1.19846 | − | 6.79682i | 0.0442965 | − | 0.251218i | ||||
\(733\) | −1.97906 | − | 3.42782i | −0.0730981 | − | 0.126610i | 0.827160 | − | 0.561967i | \(-0.189955\pi\) |
−0.900258 | + | 0.435358i | \(0.856622\pi\) | |||||||
\(734\) | 11.8833 | − | 20.5824i | 0.438619 | − | 0.759710i | ||||
\(735\) | 43.9261 | + | 36.8584i | 1.62024 | + | 1.35954i | ||||
\(736\) | −3.20574 | − | 1.16679i | −0.118165 | − | 0.0430086i | ||||
\(737\) | 2.27332 | − | 0.827420i | 0.0837388 | − | 0.0304784i | ||||
\(738\) | −5.02094 | + | 4.21307i | −0.184824 | + | 0.155085i | ||||
\(739\) | −4.48070 | − | 25.4113i | −0.164825 | − | 0.934771i | −0.949244 | − | 0.314540i | \(-0.898150\pi\) |
0.784419 | − | 0.620231i | \(-0.212961\pi\) | |||||||
\(740\) | 23.0574 | 0.847606 | ||||||||
\(741\) | −6.84911 | + | 9.66112i | −0.251608 | + | 0.354910i | ||||
\(742\) | 3.07604 | 0.112925 | ||||||||
\(743\) | 5.54189 | + | 31.4296i | 0.203312 | + | 1.15304i | 0.900074 | + | 0.435738i | \(0.143513\pi\) |
−0.696761 | + | 0.717303i | \(0.745376\pi\) | |||||||
\(744\) | −5.06805 | + | 4.25260i | −0.185804 | + | 0.155908i | ||||
\(745\) | −3.79813 | + | 1.38241i | −0.139153 | + | 0.0506475i | ||||
\(746\) | −21.8332 | − | 7.94664i | −0.799371 | − | 0.290947i | ||||
\(747\) | 11.9534 | + | 10.0301i | 0.437351 | + | 0.366981i | ||||
\(748\) | 2.02094 | − | 3.50038i | 0.0738931 | − | 0.127987i | ||||
\(749\) | 9.51233 | + | 16.4758i | 0.347573 | + | 0.602014i | ||||
\(750\) | −0.970437 | + | 5.50362i | −0.0354354 | + | 0.200964i | ||||
\(751\) | −0.0882212 | + | 0.500327i | −0.00321924 | + | 0.0182572i | −0.986375 | − | 0.164512i | \(-0.947395\pi\) |
0.983156 | + | 0.182769i | \(0.0585061\pi\) | |||||||
\(752\) | −1.42855 | − | 2.47432i | −0.0520938 | − | 0.0902291i | ||||
\(753\) | −14.8439 | + | 25.7104i | −0.540942 | + | 0.936938i | ||||
\(754\) | −7.85323 | − | 6.58964i | −0.285998 | − | 0.239981i | ||||
\(755\) | 11.6630 | + | 4.24497i | 0.424459 | + | 0.154490i | ||||
\(756\) | 4.58512 | − | 1.66885i | 0.166759 | − | 0.0606954i | ||||
\(757\) | −36.8999 | + | 30.9627i | −1.34115 | + | 1.12536i | −0.359822 | + | 0.933021i | \(0.617162\pi\) |
−0.981329 | + | 0.192338i | \(0.938393\pi\) | |||||||
\(758\) | 0.781470 | + | 4.43193i | 0.0283843 | + | 0.160975i | ||||
\(759\) | 11.6382 | 0.422438 | ||||||||
\(760\) | 13.4402 | + | 6.36295i | 0.487526 | + | 0.230808i | ||||
\(761\) | 5.15064 | 0.186711 | 0.0933554 | − | 0.995633i | \(-0.470241\pi\) | ||||
0.0933554 | + | 0.995633i | \(0.470241\pi\) | |||||||
\(762\) | 1.05644 | + | 5.99135i | 0.0382707 | + | 0.217044i | ||||
\(763\) | 43.3448 | − | 36.3706i | 1.56919 | − | 1.31671i | ||||
\(764\) | 9.48293 | − | 3.45150i | 0.343080 | − | 0.124871i | ||||
\(765\) | −3.79813 | − | 1.38241i | −0.137322 | − | 0.0499810i | ||||
\(766\) | −3.34002 | − | 2.80261i | −0.120680 | − | 0.101262i | ||||
\(767\) | −15.8097 | + | 27.3833i | −0.570857 | + | 0.988753i | ||||
\(768\) | −0.500000 | − | 0.866025i | −0.0180422 | − | 0.0312500i | ||||
\(769\) | 3.39874 | − | 19.2752i | 0.122562 | − | 0.695081i | −0.860165 | − | 0.510016i | \(-0.829639\pi\) |
0.982726 | − | 0.185065i | \(-0.0592496\pi\) | |||||||
\(770\) | −9.86097 | + | 55.9243i | −0.355365 | + | 2.01537i | ||||
\(771\) | −7.89827 | − | 13.6802i | −0.284449 | − | 0.492681i | ||||
\(772\) | −1.26217 | + | 2.18615i | −0.0454266 | + | 0.0786812i | ||||
\(773\) | 17.1552 | + | 14.3949i | 0.617031 | + | 0.517750i | 0.896869 | − | 0.442297i | \(-0.145836\pi\) |
−0.279838 | + | 0.960047i | \(0.590281\pi\) | |||||||
\(774\) | 3.91875 | + | 1.42631i | 0.140856 | + | 0.0512676i | ||||
\(775\) | −41.2686 | + | 15.0206i | −1.48241 | + | 0.539554i | ||||
\(776\) | 5.45858 | − | 4.58029i | 0.195952 | − | 0.164423i | ||||
\(777\) | −5.72668 | − | 32.4776i | −0.205444 | − | 1.16513i | ||||
\(778\) | 1.31046 | 0.0469823 | ||||||||
\(779\) | 2.32399 | + | 28.4752i | 0.0832655 | + | 1.02023i | ||||
\(780\) | 9.26857 | 0.331868 | ||||||||
\(781\) | −4.71436 | − | 26.7364i | −0.168693 | − | 0.956705i | ||||
\(782\) | 3.09627 | − | 2.59808i | 0.110722 | − | 0.0929070i | ||||
\(783\) | −3.54576 | + | 1.29055i | −0.126715 | + | 0.0461205i | ||||
\(784\) | −15.7947 | − | 5.74881i | −0.564097 | − | 0.205315i | ||||
\(785\) | 16.3889 | + | 13.7520i | 0.584946 | + | 0.490828i | ||||
\(786\) | −9.30200 | + | 16.1115i | −0.331791 | + | 0.574680i | ||||
\(787\) | −16.8444 | − | 29.1753i | −0.600437 | − | 1.03999i | −0.992755 | − | 0.120157i | \(-0.961660\pi\) |
0.392318 | − | 0.919830i | \(-0.371673\pi\) | |||||||
\(788\) | 2.57991 | − | 14.6314i | 0.0919054 | − | 0.521221i | ||||
\(789\) | 1.88666 | − | 10.6998i | 0.0671668 | − | 0.380922i | ||||
\(790\) | 0.507741 | + | 0.879433i | 0.0180646 | + | 0.0312888i | ||||
\(791\) | 4.73514 | − | 8.20150i | 0.168362 | − | 0.291612i | ||||
\(792\) | 2.61334 | + | 2.19285i | 0.0928610 | + | 0.0779196i | ||||
\(793\) | −17.6202 | − | 6.41323i | −0.625712 | − | 0.227740i | ||||
\(794\) | −17.8662 | + | 6.50276i | −0.634047 | + | 0.230774i | ||||
\(795\) | 1.64749 | − | 1.38241i | 0.0584304 | − | 0.0490289i | ||||
\(796\) | 1.40121 | + | 7.94664i | 0.0496645 | + | 0.281661i | ||||
\(797\) | −47.8631 | −1.69540 | −0.847699 | − | 0.530478i | \(-0.822012\pi\) | ||||
−0.847699 | + | 0.530478i | \(0.822012\pi\) | |||||||
\(798\) | 5.62449 | − | 20.5116i | 0.199105 | − | 0.726102i | ||||
\(799\) | 3.38507 | 0.119755 | ||||||||
\(800\) | −1.15270 | − | 6.53731i | −0.0407542 | − | 0.231129i | ||||
\(801\) | 5.18866 | − | 4.35381i | 0.183332 | − | 0.153834i | ||||
\(802\) | 33.7003 | − | 12.2659i | 1.19000 | − | 0.433124i | ||||
\(803\) | −40.8546 | − | 14.8699i | −1.44173 | − | 0.524746i | ||||
\(804\) | 0.543233 | + | 0.455827i | 0.0191584 | + | 0.0160758i | ||||
\(805\) | −28.3935 | + | 49.1790i | −1.00074 | + | 1.73333i | ||||
\(806\) | 8.98726 | + | 15.5664i | 0.316563 | + | 0.548303i | ||||
\(807\) | −3.00299 | + | 17.0308i | −0.105710 | + | 0.599513i | ||||
\(808\) | 0.806751 | − | 4.57531i | 0.0283814 | − | 0.160959i | ||||
\(809\) | 1.83703 | + | 3.18183i | 0.0645865 | + | 0.111867i | 0.896510 | − | 0.443022i | \(-0.146094\pi\) |
−0.831924 | + | 0.554890i | \(0.812760\pi\) | |||||||
\(810\) | 1.70574 | − | 2.95442i | 0.0599335 | − | 0.103808i | ||||
\(811\) | −14.3289 | − | 12.0234i | −0.503155 | − | 0.422197i | 0.355558 | − | 0.934654i | \(-0.384291\pi\) |
−0.858713 | + | 0.512457i | \(0.828735\pi\) | |||||||
\(812\) | 17.3011 | + | 6.29710i | 0.607151 | + | 0.220985i | ||||
\(813\) | −1.35844 | + | 0.494432i | −0.0476426 | + | 0.0173405i | ||||
\(814\) | 17.6630 | − | 14.8210i | 0.619087 | − | 0.519476i | ||||
\(815\) | −11.4324 | − | 64.8365i | −0.400460 | − | 2.27112i | ||||
\(816\) | 1.18479 | 0.0414760 | ||||||||
\(817\) | 14.9508 | − | 10.3393i | 0.523064 | − | 0.361725i | ||||
\(818\) | 29.1088 | 1.01776 | ||||||||
\(819\) | −2.30200 | − | 13.0553i | −0.0804385 | − | 0.456190i | ||||
\(820\) | 17.1288 | − | 14.3728i | 0.598164 | − | 0.501920i | ||||
\(821\) | 20.9706 | − | 7.63267i | 0.731879 | − | 0.266382i | 0.0509190 | − | 0.998703i | \(-0.483785\pi\) |
0.680960 | + | 0.732321i | \(0.261563\pi\) | |||||||
\(822\) | 4.27244 | + | 1.55504i | 0.149018 | + | 0.0542383i | ||||
\(823\) | −20.2264 | − | 16.9720i | −0.705049 | − | 0.591606i | 0.218156 | − | 0.975914i | \(-0.429996\pi\) |
−0.923205 | + | 0.384307i | \(0.874440\pi\) | |||||||
\(824\) | −6.19119 | + | 10.7235i | −0.215680 | + | 0.373569i | ||||
\(825\) | 11.3229 | + | 19.6119i | 0.394214 | + | 0.682799i | ||||
\(826\) | 9.86097 | − | 55.9243i | 0.343107 | − | 1.94586i | ||||
\(827\) | 5.15224 | − | 29.2198i | 0.179161 | − | 1.01607i | −0.754070 | − | 0.656794i | \(-0.771912\pi\) |
0.933231 | − | 0.359277i | \(-0.116977\pi\) | |||||||
\(828\) | 1.70574 | + | 2.95442i | 0.0592785 | + | 0.102673i | ||||
\(829\) | −0.884133 | + | 1.53136i | −0.0307072 | + | 0.0531864i | −0.880971 | − | 0.473171i | \(-0.843109\pi\) |
0.850263 | + | 0.526357i | \(0.176443\pi\) | |||||||
\(830\) | −40.7786 | − | 34.2173i | −1.41545 | − | 1.18770i | ||||
\(831\) | −19.9128 | − | 7.24767i | −0.690768 | − | 0.251419i | ||||
\(832\) | −2.55303 | + | 0.929228i | −0.0885105 | + | 0.0322152i | ||||
\(833\) | 15.2554 | − | 12.8008i | 0.528567 | − | 0.443520i | ||||
\(834\) | 0.523471 | + | 2.96875i | 0.0181263 | + | 0.102799i | ||||
\(835\) | −26.3432 | −0.911643 | ||||||||
\(836\) | 14.3858 | − | 3.76487i | 0.497543 | − | 0.130211i | ||||
\(837\) | 6.61587 | 0.228678 | ||||||||
\(838\) | −2.28493 | − | 12.9585i | −0.0789316 | − | 0.447643i | ||||
\(839\) | 20.4643 | − | 17.1716i | 0.706505 | − | 0.592828i | −0.217111 | − | 0.976147i | \(-0.569663\pi\) |
0.923616 | + | 0.383319i | \(0.125219\pi\) | |||||||
\(840\) | −15.6420 | + | 5.69323i | −0.539701 | + | 0.196435i | ||||
\(841\) | 13.8718 | + | 5.04892i | 0.478338 | + | 0.174101i | ||||
\(842\) | 0.115400 | + | 0.0968323i | 0.00397695 | + | 0.00333706i | ||||
\(843\) | 12.1839 | − | 21.1032i | 0.419636 | − | 0.726831i | ||||
\(844\) | −3.97178 | − | 6.87933i | −0.136714 | − | 0.236796i | ||||
\(845\) | −3.32841 | + | 18.8764i | −0.114501 | + | 0.649366i | ||||
\(846\) | −0.496130 | + | 2.81369i | −0.0170573 | + | 0.0967367i | ||||
\(847\) | 1.55690 | + | 2.69664i | 0.0534958 | + | 0.0926575i | ||||
\(848\) | −0.315207 | + | 0.545955i | −0.0108243 | + | 0.0187482i | ||||
\(849\) | −3.16044 | − | 2.65193i | −0.108466 | − | 0.0910139i | ||||
\(850\) | 7.39053 | + | 2.68993i | 0.253493 | + | 0.0922639i | ||||
\(851\) | 21.6668 | − | 7.88609i | 0.742730 | − | 0.270332i | ||||
\(852\) | 6.09627 | − | 5.11538i | 0.208855 | − | 0.175250i | ||||
\(853\) | 2.41828 | + | 13.7148i | 0.0828004 | + | 0.469584i | 0.997810 | + | 0.0661513i | \(0.0210720\pi\) |
−0.915009 | + | 0.403433i | \(0.867817\pi\) | |||||||
\(854\) | 33.6759 | 1.15237 | ||||||||
\(855\) | −6.20574 | − | 13.5135i | −0.212232 | − | 0.462151i | ||||
\(856\) | −3.89899 | −0.133265 | ||||||||
\(857\) | −3.41551 | − | 19.3703i | −0.116671 | − | 0.661677i | −0.985909 | − | 0.167282i | \(-0.946501\pi\) |
0.869238 | − | 0.494395i | \(-0.164610\pi\) | |||||||
\(858\) | 7.10014 | − | 5.95772i | 0.242395 | − | 0.203393i | ||||
\(859\) | 40.7806 | − | 14.8429i | 1.39142 | − | 0.506435i | 0.465799 | − | 0.884891i | \(-0.345767\pi\) |
0.925619 | + | 0.378456i | \(0.123545\pi\) | |||||||
\(860\) | −13.3687 | − | 4.86581i | −0.455869 | − | 0.165923i | ||||
\(861\) | −24.4991 | − | 20.5572i | −0.834928 | − | 0.700588i | ||||
\(862\) | −15.3983 | + | 26.6706i | −0.524467 | + | 0.908404i | ||||
\(863\) | 14.7096 | + | 25.4778i | 0.500721 | + | 0.867274i | 1.00000 | 0.000832579i | \(0.000265018\pi\) | |
−0.499279 | + | 0.866441i | \(0.666402\pi\) | |||||||
\(864\) | −0.173648 | + | 0.984808i | −0.00590763 | + | 0.0335038i | ||||
\(865\) | −8.58693 | + | 48.6989i | −0.291964 | + | 1.65581i | ||||
\(866\) | −14.7169 | − | 25.4904i | −0.500100 | − | 0.866199i | ||||
\(867\) | 7.79813 | − | 13.5068i | 0.264838 | − | 0.458714i | ||||
\(868\) | −24.7290 | − | 20.7501i | −0.839356 | − | 0.704303i | ||||
\(869\) | 0.954241 | + | 0.347315i | 0.0323704 | + | 0.0117819i | ||||
\(870\) | 12.0963 | − | 4.40268i | 0.410102 | − | 0.149265i | ||||
\(871\) | 1.47590 | − | 1.23843i | 0.0500090 | − | 0.0419625i | ||||
\(872\) | 2.01367 | + | 11.4201i | 0.0681915 | + | 0.386733i | ||||
\(873\) | −7.12567 | −0.241167 | ||||||||
\(874\) | 14.8059 | + | 1.38241i | 0.500816 | + | 0.0467606i | ||||
\(875\) | −27.2686 | −0.921846 | ||||||||
\(876\) | −2.21301 | − | 12.5506i | −0.0747707 | − | 0.424046i | ||||
\(877\) | −20.0437 | + | 16.8187i | −0.676828 | + | 0.567926i | −0.915077 | − | 0.403278i | \(-0.867871\pi\) |
0.238250 | + | 0.971204i | \(0.423426\pi\) | |||||||
\(878\) | 18.6065 | − | 6.77222i | 0.627940 | − | 0.228552i | ||||
\(879\) | −2.61334 | − | 0.951178i | −0.0881458 | − | 0.0320824i | ||||
\(880\) | −8.91534 | − | 7.48086i | −0.300536 | − | 0.252180i | ||||
\(881\) | −11.3143 | + | 19.5970i | −0.381189 | + | 0.660240i | −0.991233 | − | 0.132129i | \(-0.957819\pi\) |
0.610043 | + | 0.792368i | \(0.291152\pi\) | |||||||
\(882\) | 8.40420 | + | 14.5565i | 0.282984 | + | 0.490143i | ||||
\(883\) | −1.43810 | + | 8.15587i | −0.0483959 | + | 0.274467i | −0.999397 | − | 0.0347205i | \(-0.988946\pi\) |
0.951001 | + | 0.309187i | \(0.100057\pi\) | |||||||
\(884\) | 0.558963 | − | 3.17004i | 0.0188000 | − | 0.106620i | ||||
\(885\) | −19.8516 | − | 34.3840i | −0.667305 | − | 1.15581i | ||||
\(886\) | −9.29339 | + | 16.0966i | −0.312217 | + | 0.540776i | ||||
\(887\) | 30.9152 | + | 25.9409i | 1.03803 | + | 0.871011i | 0.991785 | − | 0.127919i | \(-0.0408299\pi\) |
0.0462457 | + | 0.998930i | \(0.485274\pi\) | |||||||
\(888\) | 6.35117 | + | 2.31164i | 0.213131 | + | 0.0775734i | ||||
\(889\) | −27.8949 | + | 10.1529i | −0.935564 | + | 0.340517i | ||||
\(890\) | −17.7010 | + | 14.8529i | −0.593339 | + | 0.497870i | ||||
\(891\) | −0.592396 | − | 3.35965i | −0.0198460 | − | 0.112552i | ||||
\(892\) | 11.9682 | 0.400726 | ||||||||
\(893\) | 8.75465 | + | 8.85737i | 0.292963 | + | 0.296401i | ||||
\(894\) | −1.18479 | −0.0396254 | ||||||||
\(895\) | −5.81908 | − | 33.0016i | −0.194510 | − | 1.10312i | ||||
\(896\) | 3.73783 | − | 3.13641i | 0.124872 | − | 0.104780i | ||||
\(897\) | 8.70961 | − | 3.17004i | 0.290805 | − | 0.105844i | ||||
\(898\) | 3.17530 | + | 1.15571i | 0.105961 | + | 0.0385667i | ||||
\(899\) | 19.1234 | + | 16.0464i | 0.637800 | + | 0.535178i | ||||
\(900\) | −3.31908 | + | 5.74881i | −0.110636 | + | 0.191627i | ||||
\(901\) | −0.373455 | − | 0.646844i | −0.0124416 | − | 0.0215495i | ||||
\(902\) | 3.88279 | − | 22.0204i | 0.129283 | − | 0.733199i | ||||
\(903\) | −3.53343 | + | 20.0391i | −0.117585 | + | 0.666859i | ||||
\(904\) | 0.970437 | + | 1.68085i | 0.0322763 | + | 0.0559041i | ||||
\(905\) | −32.2631 | + | 55.8813i | −1.07246 | + | 1.85756i | ||||
\(906\) | 2.78699 | + | 2.33856i | 0.0925915 | + | 0.0776935i | ||||
\(907\) | 18.0903 | + | 6.58434i | 0.600680 | + | 0.218630i | 0.624420 | − | 0.781089i | \(-0.285335\pi\) |
−0.0237404 | + | 0.999718i | \(0.507558\pi\) | |||||||
\(908\) | −24.9907 | + | 9.09586i | −0.829344 | + | 0.301857i | ||||
\(909\) | −3.55896 | + | 2.98632i | −0.118043 | + | 0.0990501i | ||||
\(910\) | 7.85323 | + | 44.5379i | 0.260332 | + | 1.47642i | ||||
\(911\) | −58.7684 | −1.94708 | −0.973542 | − | 0.228510i | \(-0.926615\pi\) | ||||
−0.973542 | + | 0.228510i | \(0.926615\pi\) | |||||||
\(912\) | 3.06418 | + | 3.10013i | 0.101465 | + | 0.102656i | ||||
\(913\) | −53.2327 | −1.76174 | ||||||||
\(914\) | −3.78400 | − | 21.4601i | −0.125163 | − | 0.709837i | ||||
\(915\) | 18.0364 | − | 15.1344i | 0.596266 | − | 0.500326i | ||||
\(916\) | 18.7023 | − | 6.80709i | 0.617942 | − | 0.224913i | ||||
\(917\) | −85.3016 | − | 31.0473i | −2.81691 | − | 1.02527i | ||||
\(918\) | −0.907604 | − | 0.761570i | −0.0299554 | − | 0.0251356i | ||||
\(919\) | 26.8714 | − | 46.5426i | 0.886406 | − | 1.53530i | 0.0423114 | − | 0.999104i | \(-0.486528\pi\) |
0.844094 | − | 0.536195i | \(-0.180139\pi\) | |||||||
\(920\) | −5.81908 | − | 10.0789i | −0.191849 | − | 0.332293i | ||||
\(921\) | −4.34524 | + | 24.6431i | −0.143180 | + | 0.812017i | ||||
\(922\) | −2.04277 | + | 11.5851i | −0.0672749 | + | 0.381535i | ||||
\(923\) | −10.8106 | − | 18.7245i | −0.355836 | − | 0.616326i | ||||
\(924\) | −8.32295 | + | 14.4158i | −0.273805 | + | 0.474244i | ||||
\(925\) | 34.3692 | + | 28.8392i | 1.13005 | + | 0.948226i | ||||
\(926\) | 15.9684 | + | 5.81201i | 0.524753 | + | 0.190995i | ||||
\(927\) | 11.6356 | − | 4.23502i | 0.382164 | − | 0.139096i | ||||
\(928\) | −2.89053 | + | 2.42544i | −0.0948863 | + | 0.0796190i | ||||
\(929\) | −5.38981 | − | 30.5672i | −0.176834 | − | 1.00288i | −0.936006 | − | 0.351985i | \(-0.885507\pi\) |
0.759171 | − | 0.650891i | \(-0.225604\pi\) | |||||||
\(930\) | −22.5699 | −0.740095 | ||||||||
\(931\) | 72.9488 | + | 6.81115i | 2.39080 | + | 0.223226i | ||||
\(932\) | −4.31046 | −0.141194 | ||||||||
\(933\) | 4.16297 | + | 23.6094i | 0.136290 | + | 0.772936i | ||||
\(934\) | 8.96657 | − | 7.52384i | 0.293395 | − | 0.246188i | ||||
\(935\) | 12.9572 | − | 4.71605i | 0.423747 | − | 0.154231i | ||||
\(936\) | 2.55303 | + | 0.929228i | 0.0834485 | + | 0.0303728i | ||||
\(937\) | −15.8899 | − | 13.3332i | −0.519100 | − | 0.435577i | 0.345218 | − | 0.938523i | \(-0.387805\pi\) |
−0.864318 | + | 0.502946i | \(0.832250\pi\) | |||||||
\(938\) | −1.73009 | + | 2.99660i | −0.0564893 | + | 0.0978423i | ||||
\(939\) | 6.31908 | + | 10.9450i | 0.206215 | + | 0.357175i | ||||
\(940\) | 1.69253 | − | 9.59883i | 0.0552043 | − | 0.313079i | ||||
\(941\) | −2.58095 | + | 14.6373i | −0.0841365 | + | 0.477162i | 0.913403 | + | 0.407056i | \(0.133445\pi\) |
−0.997540 | + | 0.0701055i | \(0.977666\pi\) | |||||||
\(942\) | 3.13563 | + | 5.43107i | 0.102164 | + | 0.176954i | ||||
\(943\) | 11.1800 | − | 19.3644i | 0.364072 | − | 0.630592i | ||||
\(944\) | 8.91534 | + | 7.48086i | 0.290170 | + | 0.243481i | ||||
\(945\) | 15.6420 | + | 5.69323i | 0.508835 | + | 0.185201i | ||||
\(946\) | −13.3687 | + | 4.86581i | −0.434654 | + | 0.158201i | ||||
\(947\) | −19.3043 | + | 16.1982i | −0.627305 | + | 0.526371i | −0.900090 | − | 0.435704i | \(-0.856500\pi\) |
0.272785 | + | 0.962075i | \(0.412055\pi\) | |||||||
\(948\) | 0.0516892 | + | 0.293144i | 0.00167879 | + | 0.00952088i | ||||
\(949\) | −34.6245 | −1.12396 | ||||||||
\(950\) | 12.0753 | + | 26.2949i | 0.391775 | + | 0.853120i | ||||
\(951\) | −14.1334 | −0.458307 | ||||||||
\(952\) | 1.00387 | + | 5.69323i | 0.0325356 | + | 0.184519i | ||||
\(953\) | −9.48751 | + | 7.96097i | −0.307331 | + | 0.257881i | −0.783388 | − | 0.621533i | \(-0.786510\pi\) |
0.476057 | + | 0.879414i | \(0.342066\pi\) | |||||||
\(954\) | 0.592396 | − | 0.215615i | 0.0191795 | − | 0.00698078i | ||||
\(955\) | 32.3508 | + | 11.7747i | 1.04685 | + | 0.381021i | ||||
\(956\) | 0.218941 | + | 0.183713i | 0.00708105 | + | 0.00594171i | ||||
\(957\) | 6.43629 | − | 11.1480i | 0.208056 | − | 0.360363i | ||||
\(958\) | 14.9898 | + | 25.9631i | 0.484298 | + | 0.838829i | ||||
\(959\) | −3.85235 | + | 21.8478i | −0.124399 | + | 0.705501i | ||||
\(960\) | 0.592396 | − | 3.35965i | 0.0191195 | − | 0.108432i | ||||
\(961\) | −6.38485 | − | 11.0589i | −0.205963 | − | 0.356738i | ||||
\(962\) | 9.18139 | − | 15.9026i | 0.296020 | − | 0.512721i | ||||
\(963\) | 2.98680 | + | 2.50622i | 0.0962482 | + | 0.0807618i | ||||
\(964\) | −8.98932 | − | 3.27185i | −0.289527 | − | 0.105379i | ||||
\(965\) | −8.09240 | + | 2.94539i | −0.260503 | + | 0.0948155i | ||||
\(966\) | −12.7515 | + | 10.6998i | −0.410273 | + | 0.344260i | ||||
\(967\) | −0.591929 | − | 3.35700i | −0.0190352 | − | 0.107954i | 0.973810 | − | 0.227364i | \(-0.0730107\pi\) |
−0.992845 | + | 0.119410i | \(0.961900\pi\) | |||||||
\(968\) | −0.638156 | −0.0205111 | ||||||||
\(969\) | −4.99613 | + | 1.30753i | −0.160499 | + | 0.0420038i | ||||
\(970\) | 24.3090 | 0.780516 | ||||||||
\(971\) | −2.41323 | − | 13.6861i | −0.0774442 | − | 0.439208i | −0.998733 | − | 0.0503282i | \(-0.983973\pi\) |
0.921289 | − | 0.388880i | \(-0.127138\pi\) | |||||||
\(972\) | 0.766044 | − | 0.642788i | 0.0245709 | − | 0.0206174i | ||||
\(973\) | −13.8221 | + | 5.03082i | −0.443115 | + | 0.161281i | ||||
\(974\) | 13.6356 | + | 4.96296i | 0.436914 | + | 0.159024i | ||||
\(975\) | 13.8157 | + | 11.5927i | 0.442456 | + | 0.371264i | ||||
\(976\) | −3.45084 | + | 5.97702i | −0.110459 | + | 0.191320i | ||||
\(977\) | −6.42009 | − | 11.1199i | −0.205397 | − | 0.355758i | 0.744862 | − | 0.667218i | \(-0.232515\pi\) |
−0.950259 | + | 0.311460i | \(0.899182\pi\) | |||||||
\(978\) | 3.35117 | − | 19.0054i | 0.107158 | − | 0.607726i | ||||
\(979\) | −4.01249 | + | 22.7560i | −0.128240 | + | 0.727283i | ||||
\(980\) | −28.6707 | − | 49.6591i | −0.915852 | − | 1.58630i | ||||
\(981\) | 5.79813 | − | 10.0427i | 0.185120 | − | 0.320638i | ||||
\(982\) | 8.92855 | + | 7.49194i | 0.284921 | + | 0.239077i | ||||
\(983\) | 0.814330 | + | 0.296392i | 0.0259731 | + | 0.00945343i | 0.354974 | − | 0.934876i | \(-0.384490\pi\) |
−0.329001 | + | 0.944330i | \(0.606712\pi\) | |||||||
\(984\) | 6.15910 | − | 2.24173i | 0.196345 | − | 0.0714637i | ||||
\(985\) | 38.8267 | − | 32.5794i | 1.23712 | − | 1.03807i | ||||
\(986\) | −0.776311 | − | 4.40268i | −0.0247228 | − | 0.140210i | ||||
\(987\) | −13.9409 | −0.443743 | ||||||||
\(988\) | 9.74035 | − | 6.73595i | 0.309882 | − | 0.214299i | ||||
\(989\) | −14.2267 | −0.452382 | ||||||||
\(990\) | 2.02094 | + | 11.4613i | 0.0642298 | + | 0.364265i | ||||
\(991\) | −16.0646 | + | 13.4798i | −0.510310 | + | 0.428201i | −0.861238 | − | 0.508201i | \(-0.830311\pi\) |
0.350928 | + | 0.936402i | \(0.385866\pi\) | |||||||
\(992\) | 6.21688 | − | 2.26276i | 0.197386 | − | 0.0718427i | ||||
\(993\) | −27.7190 | − | 10.0889i | −0.879636 | − | 0.320161i | ||||
\(994\) | 29.7460 | + | 24.9599i | 0.943487 | + | 0.791680i | ||||
\(995\) | −13.7640 | + | 23.8399i | −0.436348 | + | 0.755776i | ||||
\(996\) | −7.80200 | − | 13.5135i | −0.247216 | − | 0.428191i | ||||
\(997\) | 6.90208 | − | 39.1437i | 0.218591 | − | 1.23969i | −0.655974 | − | 0.754784i | \(-0.727742\pi\) |
0.874565 | − | 0.484909i | \(-0.161147\pi\) | |||||||
\(998\) | 0.292919 | − | 1.66122i | 0.00927218 | − | 0.0525852i | ||||
\(999\) | −3.37939 | − | 5.85327i | −0.106919 | − | 0.185189i |
(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 | 114.2.i.a.85.1 | yes | 6 | |
3.2 | odd | 2 | 342.2.u.e.199.1 | 6 | |||
4.3 | odd | 2 | 912.2.bo.a.769.1 | 6 | |||
19.6 | even | 9 | 2166.2.a.q.1.3 | 3 | |||
19.13 | odd | 18 | 2166.2.a.s.1.3 | 3 | |||
19.17 | even | 9 | inner | 114.2.i.a.55.1 | ✓ | 6 | |
57.17 | odd | 18 | 342.2.u.e.55.1 | 6 | |||
57.32 | even | 18 | 6498.2.a.bm.1.1 | 3 | |||
57.44 | odd | 18 | 6498.2.a.br.1.1 | 3 | |||
76.55 | odd | 18 | 912.2.bo.a.625.1 | 6 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
114.2.i.a.55.1 | ✓ | 6 | 19.17 | even | 9 | inner | |
114.2.i.a.85.1 | yes | 6 | 1.1 | even | 1 | trivial | |
342.2.u.e.55.1 | 6 | 57.17 | odd | 18 | |||
342.2.u.e.199.1 | 6 | 3.2 | odd | 2 | |||
912.2.bo.a.625.1 | 6 | 76.55 | odd | 18 | |||
912.2.bo.a.769.1 | 6 | 4.3 | odd | 2 | |||
2166.2.a.q.1.3 | 3 | 19.6 | even | 9 | |||
2166.2.a.s.1.3 | 3 | 19.13 | odd | 18 | |||
6498.2.a.bm.1.1 | 3 | 57.32 | even | 18 | |||
6498.2.a.br.1.1 | 3 | 57.44 | odd | 18 |