Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [216,2,Mod(11,216)]
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([9, 9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("216.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 216 = 2^{3} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 216.v (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: | \(1.72476868366\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 11.13 | ||
Character | \(\chi\) | \(=\) | 216.11 |
Dual form | 216.2.v.b.59.13 |
$q$-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 \(\left(\mathbb{Z}/216\mathbb{Z}\right)^\times\).
\(n\) | \(55\) | \(109\) | \(137\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.491528 | − | 1.32605i | −0.347563 | − | 0.937657i | ||||
\(3\) | −1.72369 | + | 0.169964i | −0.995174 | + | 0.0981288i | ||||
\(4\) | −1.51680 | + | 1.30358i | −0.758400 | + | 0.651789i | ||||
\(5\) | 0.715441 | + | 0.260399i | 0.319955 | + | 0.116454i | 0.497005 | − | 0.867748i | \(-0.334433\pi\) |
−0.177050 | + | 0.984202i | \(0.556655\pi\) | |||||||
\(6\) | 1.07262 | + | 2.20215i | 0.437896 | + | 0.899025i | ||||
\(7\) | −3.32699 | − | 0.586638i | −1.25748 | − | 0.221728i | −0.495091 | − | 0.868841i | \(-0.664865\pi\) |
−0.762394 | + | 0.647113i | \(0.775976\pi\) | |||||||
\(8\) | 2.47416 | + | 1.37060i | 0.874746 | + | 0.484582i | ||||
\(9\) | 2.94222 | − | 0.585931i | 0.980741 | − | 0.195310i | ||||
\(10\) | −0.00635759 | − | 1.07670i | −0.00201045 | − | 0.340483i | ||||
\(11\) | 1.95175 | + | 5.36238i | 0.588474 | + | 1.61682i | 0.773296 | + | 0.634046i | \(0.218607\pi\) |
−0.184822 | + | 0.982772i | \(0.559171\pi\) | |||||||
\(12\) | 2.39294 | − | 2.50477i | 0.690781 | − | 0.723064i | ||||
\(13\) | 3.36983 | + | 4.01601i | 0.934622 | + | 1.11384i | 0.993300 | + | 0.115563i | \(0.0368671\pi\) |
−0.0586778 | + | 0.998277i | \(0.518688\pi\) | |||||||
\(14\) | 0.857399 | + | 4.70010i | 0.229150 | + | 1.25615i | ||||
\(15\) | −1.27746 | − | 0.327249i | −0.329838 | − | 0.0844952i | ||||
\(16\) | 0.601369 | − | 3.95454i | 0.150342 | − | 0.988634i | ||||
\(17\) | −2.95820 | + | 1.70792i | −0.717470 | + | 0.414231i | −0.813821 | − | 0.581116i | \(-0.802616\pi\) |
0.0963510 | + | 0.995347i | \(0.469283\pi\) | |||||||
\(18\) | −2.22316 | − | 3.61353i | −0.524003 | − | 0.851716i | ||||
\(19\) | 1.27164 | − | 2.20255i | 0.291735 | − | 0.505299i | −0.682485 | − | 0.730899i | \(-0.739101\pi\) |
0.974220 | + | 0.225600i | \(0.0724342\pi\) | |||||||
\(20\) | −1.42463 | + | 0.537659i | −0.318557 | + | 0.120224i | ||||
\(21\) | 5.83441 | + | 0.445715i | 1.27317 | + | 0.0972629i | ||||
\(22\) | 6.15143 | − | 5.22386i | 1.31149 | − | 1.11373i | ||||
\(23\) | 0.947065 | + | 5.37107i | 0.197477 | + | 1.11995i | 0.908847 | + | 0.417129i | \(0.136964\pi\) |
−0.711371 | + | 0.702817i | \(0.751925\pi\) | |||||||
\(24\) | −4.49763 | − | 1.94198i | −0.918076 | − | 0.396405i | ||||
\(25\) | −3.38617 | − | 2.84134i | −0.677235 | − | 0.568268i | ||||
\(26\) | 3.66905 | − | 6.44253i | 0.719559 | − | 1.26348i | ||||
\(27\) | −4.97190 | + | 1.51004i | −0.956843 | + | 0.290607i | ||||
\(28\) | 5.81111 | − | 3.44718i | 1.09820 | − | 0.651456i | ||||
\(29\) | 3.27434 | + | 2.74749i | 0.608029 | + | 0.510197i | 0.894015 | − | 0.448037i | \(-0.147877\pi\) |
−0.285986 | + | 0.958234i | \(0.592321\pi\) | |||||||
\(30\) | 0.193959 | + | 1.85482i | 0.0354119 | + | 0.338642i | ||||
\(31\) | 2.33080 | − | 0.410982i | 0.418623 | − | 0.0738146i | 0.0396309 | − | 0.999214i | \(-0.487382\pi\) |
0.378992 | + | 0.925400i | \(0.376271\pi\) | |||||||
\(32\) | −5.53949 | + | 1.14632i | −0.979253 | + | 0.202643i | ||||
\(33\) | −4.27562 | − | 8.91136i | −0.744290 | − | 1.55127i | ||||
\(34\) | 3.71882 | + | 3.08323i | 0.637772 | + | 0.528769i | ||||
\(35\) | −2.22751 | − | 1.28605i | −0.376517 | − | 0.217382i | ||||
\(36\) | −3.69896 | + | 4.72416i | −0.616494 | + | 0.787360i | ||||
\(37\) | −9.07767 | + | 5.24099i | −1.49236 | + | 0.861614i | −0.999962 | − | 0.00875627i | \(-0.997213\pi\) |
−0.492398 | + | 0.870370i | \(0.663879\pi\) | |||||||
\(38\) | −3.54573 | − | 0.603643i | −0.575193 | − | 0.0979238i | ||||
\(39\) | −6.49112 | − | 6.34960i | −1.03941 | − | 1.01675i | ||||
\(40\) | 1.41321 | + | 1.62485i | 0.223448 | + | 0.256912i | ||||
\(41\) | 1.88727 | + | 2.24916i | 0.294742 | + | 0.351259i | 0.893010 | − | 0.450036i | \(-0.148589\pi\) |
−0.598269 | + | 0.801296i | \(0.704144\pi\) | |||||||
\(42\) | −2.27674 | − | 7.95579i | −0.351308 | − | 1.22760i | ||||
\(43\) | −5.95761 | + | 2.16839i | −0.908528 | + | 0.330677i | −0.753665 | − | 0.657259i | \(-0.771716\pi\) |
−0.154863 | + | 0.987936i | \(0.549494\pi\) | |||||||
\(44\) | −9.95069 | − | 5.58941i | −1.50012 | − | 0.842635i | ||||
\(45\) | 2.25756 | + | 0.346954i | 0.336538 | + | 0.0517208i | ||||
\(46\) | 6.65678 | − | 3.89588i | 0.981489 | − | 0.574417i | ||||
\(47\) | 0.625921 | − | 3.54977i | 0.0913000 | − | 0.517788i | −0.904519 | − | 0.426434i | \(-0.859770\pi\) |
0.995819 | − | 0.0913536i | \(-0.0291193\pi\) | |||||||
\(48\) | −0.364446 | + | 6.91861i | −0.0526032 | + | 0.998615i | ||||
\(49\) | 4.14688 | + | 1.50934i | 0.592412 | + | 0.215620i | ||||
\(50\) | −2.10335 | + | 5.88682i | −0.297458 | + | 0.832522i | ||||
\(51\) | 4.80874 | − | 3.44671i | 0.673359 | − | 0.482637i | ||||
\(52\) | −10.3465 | − | 1.69865i | −1.43481 | − | 0.235560i | ||||
\(53\) | 8.06569 | 1.10791 | 0.553954 | − | 0.832548i | \(-0.313118\pi\) | ||||
0.553954 | + | 0.832548i | \(0.313118\pi\) | |||||||
\(54\) | 4.44621 | + | 5.85075i | 0.605052 | + | 0.796186i | ||||
\(55\) | 4.34470i | 0.585839i | ||||||||
\(56\) | −7.42745 | − | 6.01142i | −0.992534 | − | 0.803310i | ||||
\(57\) | −1.81756 | + | 4.01265i | −0.240742 | + | 0.531488i | ||||
\(58\) | 2.03388 | − | 5.69239i | 0.267061 | − | 0.747448i | ||||
\(59\) | −1.63379 | + | 4.48880i | −0.212701 | + | 0.584392i | −0.999460 | − | 0.0328691i | \(-0.989536\pi\) |
0.786758 | + | 0.617261i | \(0.211758\pi\) | |||||||
\(60\) | 2.36424 | − | 1.16889i | 0.305222 | − | 0.150904i | ||||
\(61\) | −2.62747 | − | 0.463294i | −0.336413 | − | 0.0593187i | 0.00289009 | − | 0.999996i | \(-0.499080\pi\) |
−0.339303 | + | 0.940677i | \(0.610191\pi\) | |||||||
\(62\) | −1.69063 | − | 2.88874i | −0.214711 | − | 0.366870i | ||||
\(63\) | −10.1325 | + | 0.223366i | −1.27657 | + | 0.0281415i | ||||
\(64\) | 4.24289 | + | 6.78217i | 0.530361 | + | 0.847772i | ||||
\(65\) | 1.36515 | + | 3.75071i | 0.169326 | + | 0.465219i | ||||
\(66\) | −9.71529 | + | 10.0499i | −1.19587 | + | 1.23705i | ||||
\(67\) | 2.16648 | − | 1.81790i | 0.264678 | − | 0.222091i | −0.500784 | − | 0.865572i | \(-0.666955\pi\) |
0.765462 | + | 0.643481i | \(0.222510\pi\) | |||||||
\(68\) | 2.26060 | − | 6.44682i | 0.274138 | − | 0.781792i | ||||
\(69\) | −2.54534 | − | 9.09710i | −0.306422 | − | 1.09516i | ||||
\(70\) | −0.610483 | + | 3.58591i | −0.0729666 | + | 0.428598i | ||||
\(71\) | 3.03884 | + | 5.26343i | 0.360644 | + | 0.624654i | 0.988067 | − | 0.154025i | \(-0.0492235\pi\) |
−0.627423 | + | 0.778679i | \(0.715890\pi\) | |||||||
\(72\) | 8.08260 | + | 2.58294i | 0.952544 | + | 0.304402i | ||||
\(73\) | 1.40736 | − | 2.43763i | 0.164720 | − | 0.285303i | −0.771836 | − | 0.635822i | \(-0.780661\pi\) |
0.936556 | + | 0.350519i | \(0.113995\pi\) | |||||||
\(74\) | 11.4117 | + | 9.46132i | 1.32659 | + | 1.09986i | ||||
\(75\) | 6.31965 | + | 4.32206i | 0.729730 | + | 0.499069i | ||||
\(76\) | 0.942366 | + | 4.99851i | 0.108097 | + | 0.573369i | ||||
\(77\) | −3.34767 | − | 18.9856i | −0.381502 | − | 2.16360i | ||||
\(78\) | −5.22931 | + | 11.7285i | −0.592102 | + | 1.32800i | ||||
\(79\) | 7.42577 | − | 8.84969i | 0.835464 | − | 0.995667i | −0.164493 | − | 0.986378i | \(-0.552599\pi\) |
0.999957 | − | 0.00928911i | \(-0.00295686\pi\) | |||||||
\(80\) | 1.46000 | − | 2.67264i | 0.163233 | − | 0.298810i | ||||
\(81\) | 8.31337 | − | 3.44788i | 0.923708 | − | 0.383098i | ||||
\(82\) | 2.05484 | − | 3.60813i | 0.226919 | − | 0.398451i | ||||
\(83\) | 5.47239 | − | 6.52174i | 0.600673 | − | 0.715854i | −0.376947 | − | 0.926235i | \(-0.623026\pi\) |
0.977620 | + | 0.210381i | \(0.0674704\pi\) | |||||||
\(84\) | −9.43067 | + | 6.92955i | −1.02897 | + | 0.756076i | ||||
\(85\) | −2.56116 | + | 0.451602i | −0.277797 | + | 0.0489831i | ||||
\(86\) | 5.80373 | + | 6.83425i | 0.625832 | + | 0.736956i | ||||
\(87\) | −6.11092 | − | 4.17931i | −0.655159 | − | 0.448069i | ||||
\(88\) | −2.52077 | + | 15.9424i | −0.268715 | + | 1.69947i | ||||
\(89\) | −7.79000 | − | 4.49756i | −0.825739 | − | 0.476740i | 0.0266528 | − | 0.999645i | \(-0.491515\pi\) |
−0.852391 | + | 0.522904i | \(0.824848\pi\) | |||||||
\(90\) | −0.649578 | − | 3.16417i | −0.0684716 | − | 0.333533i | ||||
\(91\) | −8.85545 | − | 15.3381i | −0.928303 | − | 1.60787i | ||||
\(92\) | −8.43812 | − | 6.91227i | −0.879735 | − | 0.720654i | ||||
\(93\) | −3.94772 | + | 1.10456i | −0.409360 | + | 0.114537i | ||||
\(94\) | −5.01483 | + | 0.914812i | −0.517240 | + | 0.0943557i | ||||
\(95\) | 1.48333 | − | 1.24466i | 0.152186 | − | 0.127699i | ||||
\(96\) | 9.35354 | − | 2.91742i | 0.954641 | − | 0.297758i | ||||
\(97\) | 13.6755 | − | 4.97747i | 1.38854 | − | 0.505386i | 0.463781 | − | 0.885950i | \(-0.346492\pi\) |
0.924755 | + | 0.380564i | \(0.124270\pi\) | |||||||
\(98\) | −0.0368503 | − | 6.24084i | −0.00372244 | − | 0.630420i | ||||
\(99\) | 8.88446 | + | 14.6337i | 0.892922 | + | 1.47075i | ||||
\(100\) | 8.84006 | − | 0.104399i | 0.884006 | − | 0.0104399i | ||||
\(101\) | 0.867234 | − | 4.91833i | 0.0862930 | − | 0.489392i | −0.910777 | − | 0.412898i | \(-0.864516\pi\) |
0.997070 | − | 0.0764934i | \(-0.0243724\pi\) | |||||||
\(102\) | −6.93414 | − | 4.68247i | −0.686582 | − | 0.463633i | ||||
\(103\) | −1.64778 | + | 4.52724i | −0.162360 | + | 0.446082i | −0.994019 | − | 0.109205i | \(-0.965169\pi\) |
0.831659 | + | 0.555287i | \(0.187392\pi\) | |||||||
\(104\) | 2.83313 | + | 14.5549i | 0.277811 | + | 1.42723i | ||||
\(105\) | 4.05811 | + | 1.83816i | 0.396031 | + | 0.179386i | ||||
\(106\) | −3.96451 | − | 10.6955i | −0.385067 | − | 1.03884i | ||||
\(107\) | − | 2.56818i | − | 0.248275i | −0.992265 | − | 0.124138i | \(-0.960384\pi\) | ||
0.992265 | − | 0.124138i | \(-0.0396164\pi\) | |||||||
\(108\) | 5.57293 | − | 8.77168i | 0.536256 | − | 0.844056i | ||||
\(109\) | 7.69169i | 0.736730i | 0.929681 | + | 0.368365i | \(0.120082\pi\) | ||||
−0.929681 | + | 0.368365i | \(0.879918\pi\) | |||||||
\(110\) | 5.76127 | − | 2.13554i | 0.549316 | − | 0.203616i | ||||
\(111\) | 14.7563 | − | 10.5767i | 1.40061 | − | 1.00390i | ||||
\(112\) | −4.32063 | + | 12.8039i | −0.408261 | + | 1.20986i | ||||
\(113\) | −2.07354 | + | 5.69700i | −0.195062 | + | 0.535928i | −0.998207 | − | 0.0598551i | \(-0.980936\pi\) |
0.803145 | + | 0.595783i | \(0.203158\pi\) | |||||||
\(114\) | 6.21434 | + | 0.437848i | 0.582026 | + | 0.0410082i | ||||
\(115\) | −0.721054 | + | 4.08930i | −0.0672386 | + | 0.381329i | ||||
\(116\) | −8.54809 | + | 0.100951i | −0.793670 | + | 0.00937308i | ||||
\(117\) | 12.2679 | + | 9.84150i | 1.13417 | + | 0.909847i | ||||
\(118\) | 6.75541 | − | 0.0398886i | 0.621886 | − | 0.00367205i | ||||
\(119\) | 10.8438 | − | 3.94684i | 0.994054 | − | 0.361806i | ||||
\(120\) | −2.71210 | − | 2.56055i | −0.247580 | − | 0.233745i | ||||
\(121\) | −16.5193 | + | 13.8613i | −1.50175 | + | 1.26012i | ||||
\(122\) | 0.677125 | + | 3.71187i | 0.0613040 | + | 0.336057i | ||||
\(123\) | −3.63534 | − | 3.55609i | −0.327788 | − | 0.320641i | ||||
\(124\) | −2.99961 | + | 3.66175i | −0.269372 | + | 0.328835i | ||||
\(125\) | −3.58612 | − | 6.21133i | −0.320752 | − | 0.555559i | ||||
\(126\) | 5.27659 | + | 13.3264i | 0.470076 | + | 1.18721i | ||||
\(127\) | −2.68591 | − | 1.55071i | −0.238336 | − | 0.137603i | 0.376076 | − | 0.926589i | \(-0.377273\pi\) |
−0.614412 | + | 0.788986i | \(0.710607\pi\) | |||||||
\(128\) | 6.90798 | − | 8.95990i | 0.610585 | − | 0.791951i | ||||
\(129\) | 9.90054 | − | 4.75022i | 0.871694 | − | 0.418234i | ||||
\(130\) | 4.30261 | − | 3.65383i | 0.377364 | − | 0.320462i | ||||
\(131\) | 15.9872 | − | 2.81898i | 1.39681 | − | 0.246295i | 0.575978 | − | 0.817465i | \(-0.304621\pi\) |
0.820832 | + | 0.571170i | \(0.193510\pi\) | |||||||
\(132\) | 18.1019 | + | 7.94315i | 1.57557 | + | 0.691363i | ||||
\(133\) | −5.52284 | + | 6.58187i | −0.478891 | + | 0.570720i | ||||
\(134\) | −3.47550 | − | 1.97931i | −0.300238 | − | 0.170987i | ||||
\(135\) | −3.95031 | − | 0.214337i | −0.339989 | − | 0.0184472i | ||||
\(136\) | −9.65994 | + | 0.171133i | −0.828333 | + | 0.0146745i | ||||
\(137\) | 0.0788460 | − | 0.0939650i | 0.00673627 | − | 0.00802797i | −0.762666 | − | 0.646793i | \(-0.776110\pi\) |
0.769402 | + | 0.638765i | \(0.220554\pi\) | |||||||
\(138\) | −10.8121 | + | 7.84671i | −0.920385 | + | 0.667957i | ||||
\(139\) | 2.78791 | + | 15.8110i | 0.236467 | + | 1.34107i | 0.839502 | + | 0.543357i | \(0.182847\pi\) |
−0.603035 | + | 0.797715i | \(0.706042\pi\) | |||||||
\(140\) | 5.05515 | − | 0.953044i | 0.427238 | − | 0.0805469i | ||||
\(141\) | −0.475561 | + | 6.22510i | −0.0400494 | + | 0.524248i | ||||
\(142\) | 5.48588 | − | 6.61677i | 0.460365 | − | 0.555267i | ||||
\(143\) | −14.9583 | + | 25.9085i | −1.25088 | + | 2.16658i | ||||
\(144\) | −0.547723 | − | 11.9875i | −0.0456436 | − | 0.998958i | ||||
\(145\) | 1.62715 | + | 2.81830i | 0.135127 | + | 0.234047i | ||||
\(146\) | −3.92417 | − | 0.668070i | −0.324766 | − | 0.0552899i | ||||
\(147\) | −7.40448 | − | 1.89682i | −0.610711 | − | 0.156447i | ||||
\(148\) | 6.93697 | − | 19.7830i | 0.570215 | − | 1.62615i | ||||
\(149\) | −14.4253 | + | 12.1043i | −1.18177 | + | 0.991623i | −0.181805 | + | 0.983335i | \(0.558194\pi\) |
−0.999966 | + | 0.00828872i | \(0.997362\pi\) | |||||||
\(150\) | 2.62497 | − | 10.5046i | 0.214328 | − | 0.857694i | ||||
\(151\) | −5.65105 | − | 15.5261i | −0.459876 | − | 1.26350i | −0.925578 | − | 0.378557i | \(-0.876420\pi\) |
0.465702 | − | 0.884942i | \(-0.345802\pi\) | |||||||
\(152\) | 6.16506 | − | 3.70653i | 0.500053 | − | 0.300639i | ||||
\(153\) | −7.70298 | + | 6.75839i | −0.622749 | + | 0.546383i | ||||
\(154\) | −23.5303 | + | 13.7711i | −1.89612 | + | 1.10971i | ||||
\(155\) | 1.77457 | + | 0.312904i | 0.142537 | + | 0.0251330i | ||||
\(156\) | 18.1229 | + | 1.16940i | 1.45100 | + | 0.0936271i | ||||
\(157\) | 3.99126 | − | 10.9659i | 0.318537 | − | 0.875174i | −0.672320 | − | 0.740260i | \(-0.734702\pi\) |
0.990857 | − | 0.134913i | \(-0.0430755\pi\) | |||||||
\(158\) | −15.3851 | − | 5.49705i | −1.22397 | − | 0.437322i | ||||
\(159\) | −13.9028 | + | 1.37088i | −1.10256 | + | 0.108718i | ||||
\(160\) | −4.26168 | − | 0.622353i | −0.336915 | − | 0.0492014i | ||||
\(161\) | − | 18.4251i | − | 1.45210i | ||||||
\(162\) | −8.65831 | − | 9.32919i | −0.680261 | − | 0.732970i | ||||
\(163\) | 2.29194 | 0.179518 | 0.0897591 | − | 0.995964i | \(-0.471390\pi\) | ||||
0.0897591 | + | 0.995964i | \(0.471390\pi\) | |||||||
\(164\) | −5.79456 | − | 0.951323i | −0.452479 | − | 0.0742859i | ||||
\(165\) | −0.738442 | − | 7.48892i | −0.0574876 | − | 0.583011i | ||||
\(166\) | −11.3380 | − | 4.05103i | −0.879997 | − | 0.314421i | ||||
\(167\) | 7.85034 | + | 2.85729i | 0.607478 | + | 0.221104i | 0.627399 | − | 0.778698i | \(-0.284119\pi\) |
−0.0199215 | + | 0.999802i | \(0.506342\pi\) | |||||||
\(168\) | 13.8244 | + | 9.09944i | 1.06657 | + | 0.702037i | ||||
\(169\) | −2.51513 | + | 14.2640i | −0.193471 | + | 1.09723i | ||||
\(170\) | 1.85773 | + | 3.17424i | 0.142481 | + | 0.243453i | ||||
\(171\) | 2.45091 | − | 7.22549i | 0.187426 | − | 0.552547i | ||||
\(172\) | 6.20984 | − | 11.0552i | 0.473496 | − | 0.842954i | ||||
\(173\) | 4.31220 | − | 1.56951i | 0.327850 | − | 0.119328i | −0.172851 | − | 0.984948i | \(-0.555298\pi\) |
0.500701 | + | 0.865620i | \(0.333076\pi\) | |||||||
\(174\) | −2.53828 | + | 10.1576i | −0.192426 | + | 0.770047i | ||||
\(175\) | 9.59894 | + | 11.4396i | 0.725611 | + | 0.864750i | ||||
\(176\) | 22.3794 | − | 4.49348i | 1.68691 | − | 0.338709i | ||||
\(177\) | 2.05321 | − | 8.01499i | 0.154329 | − | 0.602444i | ||||
\(178\) | −2.13497 | + | 12.5406i | −0.160023 | + | 0.939956i | ||||
\(179\) | −8.01534 | + | 4.62766i | −0.599094 | + | 0.345887i | −0.768685 | − | 0.639627i | \(-0.779089\pi\) |
0.169591 | + | 0.985515i | \(0.445755\pi\) | |||||||
\(180\) | −3.87655 | + | 2.41665i | −0.288941 | + | 0.180126i | ||||
\(181\) | −10.1708 | − | 5.87212i | −0.755990 | − | 0.436471i | 0.0718639 | − | 0.997414i | \(-0.477105\pi\) |
−0.827854 | + | 0.560943i | \(0.810439\pi\) | |||||||
\(182\) | −15.9863 | + | 19.2818i | −1.18499 | + | 1.42927i | ||||
\(183\) | 4.60769 | + | 0.352000i | 0.340610 | + | 0.0260206i | ||||
\(184\) | −5.01843 | + | 14.5869i | −0.369963 | + | 1.07536i | ||||
\(185\) | −7.85928 | + | 1.38580i | −0.577826 | + | 0.101886i | ||||
\(186\) | 3.40511 | + | 4.69194i | 0.249675 | + | 0.344030i | ||||
\(187\) | −14.9322 | − | 12.5296i | −1.09195 | − | 0.916254i | ||||
\(188\) | 3.67801 | + | 6.20024i | 0.268246 | + | 0.452199i | ||||
\(189\) | 17.4273 | − | 2.10717i | 1.26765 | − | 0.153274i | ||||
\(190\) | −2.37957 | − | 1.35518i | −0.172632 | − | 0.0983148i | ||||
\(191\) | 9.19786 | + | 7.71792i | 0.665534 | + | 0.558449i | 0.911740 | − | 0.410768i | \(-0.134740\pi\) |
−0.246206 | + | 0.969218i | \(0.579184\pi\) | |||||||
\(192\) | −8.46616 | − | 10.9692i | −0.610992 | − | 0.791637i | ||||
\(193\) | 0.0875504 | + | 0.496523i | 0.00630202 | + | 0.0357405i | 0.987797 | − | 0.155749i | \(-0.0497792\pi\) |
−0.981495 | + | 0.191490i | \(0.938668\pi\) | |||||||
\(194\) | −13.3222 | − | 15.6878i | −0.956482 | − | 1.12632i | ||||
\(195\) | −2.99058 | − | 6.23305i | −0.214160 | − | 0.446358i | ||||
\(196\) | −8.25754 | + | 3.11641i | −0.589824 | + | 0.222601i | ||||
\(197\) | −1.86464 | + | 3.22964i | −0.132850 | + | 0.230103i | −0.924774 | − | 0.380517i | \(-0.875746\pi\) |
0.791924 | + | 0.610619i | \(0.209079\pi\) | |||||||
\(198\) | 15.0381 | − | 18.9741i | 1.06871 | − | 1.34843i | ||||
\(199\) | 22.4920 | − | 12.9857i | 1.59441 | − | 0.920534i | 0.601876 | − | 0.798590i | \(-0.294420\pi\) |
0.992537 | − | 0.121945i | \(-0.0389130\pi\) | |||||||
\(200\) | −4.48357 | − | 11.6710i | −0.317036 | − | 0.825265i | ||||
\(201\) | −3.42537 | + | 3.50171i | −0.241607 | + | 0.246992i | ||||
\(202\) | −6.94820 | + | 1.26750i | −0.488874 | + | 0.0891811i | ||||
\(203\) | −9.28190 | − | 11.0617i | −0.651462 | − | 0.776382i | ||||
\(204\) | −2.80085 | + | 11.4966i | −0.196099 | + | 0.804920i | ||||
\(205\) | 0.764549 | + | 2.10058i | 0.0533984 | + | 0.146711i | ||||
\(206\) | 6.81326 | − | 0.0402302i | 0.474702 | − | 0.00280297i | ||||
\(207\) | 5.93355 | + | 15.2480i | 0.412411 | + | 1.05981i | ||||
\(208\) | 17.9079 | − | 10.9110i | 1.24169 | − | 0.756542i | ||||
\(209\) | 14.2928 | + | 2.52021i | 0.988655 | + | 0.174327i | ||||
\(210\) | 0.442809 | − | 6.28476i | 0.0305567 | − | 0.433689i | ||||
\(211\) | −5.28560 | − | 1.92380i | −0.363875 | − | 0.132440i | 0.153611 | − | 0.988131i | \(-0.450910\pi\) |
−0.517486 | + | 0.855692i | \(0.673132\pi\) | |||||||
\(212\) | −12.2340 | + | 10.5143i | −0.840237 | + | 0.722122i | ||||
\(213\) | −6.13262 | − | 8.55603i | −0.420200 | − | 0.586250i | ||||
\(214\) | −3.40552 | + | 1.26233i | −0.232797 | + | 0.0862912i | ||||
\(215\) | −4.82697 | −0.329196 | ||||||||
\(216\) | −14.3709 | − | 3.07844i | −0.977817 | − | 0.209461i | ||||
\(217\) | −7.99564 | −0.542779 | ||||||||
\(218\) | 10.1995 | − | 3.78068i | 0.690800 | − | 0.256060i | ||||
\(219\) | −2.01155 | + | 4.44092i | −0.135928 | + | 0.300090i | ||||
\(220\) | −5.66365 | − | 6.59004i | −0.381843 | − | 0.444300i | ||||
\(221\) | −16.8277 | − | 6.12476i | −1.13195 | − | 0.411996i | ||||
\(222\) | −21.2784 | − | 14.3688i | −1.42811 | − | 0.964371i | ||||
\(223\) | 1.15220 | + | 0.203163i | 0.0771568 | + | 0.0136048i | 0.212093 | − | 0.977249i | \(-0.431972\pi\) |
−0.134937 | + | 0.990854i | \(0.543083\pi\) | |||||||
\(224\) | 19.1023 | − | 0.564124i | 1.27633 | − | 0.0376921i | ||||
\(225\) | −11.6277 | − | 6.37579i | −0.775181 | − | 0.425053i | ||||
\(226\) | 8.57369 | − | 0.0506250i | 0.570313 | − | 0.00336752i | ||||
\(227\) | −3.74301 | − | 10.2838i | −0.248432 | − | 0.682563i | −0.999744 | − | 0.0226152i | \(-0.992801\pi\) |
0.751312 | − | 0.659947i | \(-0.229421\pi\) | |||||||
\(228\) | −2.47392 | − | 8.45572i | −0.163839 | − | 0.559994i | ||||
\(229\) | −3.60038 | − | 4.29076i | −0.237920 | − | 0.283542i | 0.633852 | − | 0.773455i | \(-0.281473\pi\) |
−0.871771 | + | 0.489913i | \(0.837029\pi\) | |||||||
\(230\) | 5.77702 | − | 1.05385i | 0.380925 | − | 0.0694890i | ||||
\(231\) | 8.99720 | + | 32.1563i | 0.591973 | + | 2.11573i | ||||
\(232\) | 4.33549 | + | 11.2855i | 0.284639 | + | 0.740932i | ||||
\(233\) | −12.0089 | + | 6.93335i | −0.786730 | + | 0.454219i | −0.838810 | − | 0.544424i | \(-0.816748\pi\) |
0.0520803 | + | 0.998643i | \(0.483415\pi\) | |||||||
\(234\) | 7.02028 | − | 21.1052i | 0.458930 | − | 1.37969i | ||||
\(235\) | 1.37217 | − | 2.37666i | 0.0895103 | − | 0.155036i | ||||
\(236\) | −3.37337 | − | 8.93839i | −0.219588 | − | 0.581840i | ||||
\(237\) | −11.2956 | + | 16.5162i | −0.733728 | + | 1.07285i | ||||
\(238\) | −10.5637 | − | 12.4395i | −0.684746 | − | 0.806331i | ||||
\(239\) | −3.00765 | − | 17.0573i | −0.194549 | − | 1.10334i | −0.913060 | − | 0.407826i | \(-0.866287\pi\) |
0.718511 | − | 0.695516i | \(-0.244824\pi\) | |||||||
\(240\) | −2.06234 | + | 4.85495i | −0.133123 | + | 0.313386i | ||||
\(241\) | −1.47032 | − | 1.23374i | −0.0947115 | − | 0.0794724i | 0.594202 | − | 0.804316i | \(-0.297468\pi\) |
−0.688914 | + | 0.724843i | \(0.741912\pi\) | |||||||
\(242\) | 26.5005 | + | 15.0921i | 1.70351 | + | 0.970159i | ||||
\(243\) | −13.7437 | + | 7.35606i | −0.881657 | + | 0.471891i | ||||
\(244\) | 4.58929 | − | 2.72239i | 0.293799 | − | 0.174283i | ||||
\(245\) | 2.57382 | + | 2.15969i | 0.164435 | + | 0.137977i | ||||
\(246\) | −2.92866 | + | 6.56855i | −0.186725 | + | 0.418795i | ||||
\(247\) | 13.1307 | − | 2.31529i | 0.835484 | − | 0.147318i | ||||
\(248\) | 6.33004 | + | 2.17776i | 0.401958 | + | 0.138288i | ||||
\(249\) | −8.32425 | + | 12.1716i | −0.527528 | + | 0.771343i | ||||
\(250\) | −6.47384 | + | 7.80840i | −0.409442 | + | 0.493847i | ||||
\(251\) | 18.6528 | + | 10.7692i | 1.17735 | + | 0.679746i | 0.955401 | − | 0.295311i | \(-0.0954234\pi\) |
0.221953 | + | 0.975057i | \(0.428757\pi\) | |||||||
\(252\) | 15.0778 | − | 13.5473i | 0.949811 | − | 0.853399i | ||||
\(253\) | −26.9533 | + | 15.5615i | −1.69454 | + | 0.978342i | ||||
\(254\) | −0.736115 | + | 4.32386i | −0.0461880 | + | 0.271303i | ||||
\(255\) | 4.33789 | − | 1.21373i | 0.271649 | − | 0.0760065i | ||||
\(256\) | −15.2767 | − | 4.75627i | −0.954794 | − | 0.297267i | ||||
\(257\) | −5.79174 | − | 6.90232i | −0.361279 | − | 0.430555i | 0.554534 | − | 0.832161i | \(-0.312897\pi\) |
−0.915813 | + | 0.401606i | \(0.868452\pi\) | |||||||
\(258\) | −11.1654 | − | 10.7937i | −0.695128 | − | 0.671987i | ||||
\(259\) | 33.2759 | − | 12.1114i | 2.06766 | − | 0.752568i | ||||
\(260\) | −6.96001 | − | 3.90951i | −0.431641 | − | 0.242457i | ||||
\(261\) | 11.2437 | + | 6.16521i | 0.695966 | + | 0.381617i | ||||
\(262\) | −11.5963 | − | 19.8142i | −0.716419 | − | 1.22413i | ||||
\(263\) | 1.07833 | − | 6.11552i | 0.0664927 | − | 0.377099i | −0.933343 | − | 0.358985i | \(-0.883123\pi\) |
0.999836 | − | 0.0181137i | \(-0.00576609\pi\) | |||||||
\(264\) | 1.63540 | − | 27.9083i | 0.100652 | − | 1.71763i | ||||
\(265\) | 5.77052 | + | 2.10030i | 0.354480 | + | 0.129020i | ||||
\(266\) | 11.4425 | + | 4.08838i | 0.701584 | + | 0.250674i | ||||
\(267\) | 14.1920 | + | 6.42838i | 0.868535 | + | 0.393411i | ||||
\(268\) | −0.916355 | + | 5.58156i | −0.0559753 | + | 0.340948i | ||||
\(269\) | −1.29437 | −0.0789188 | −0.0394594 | − | 0.999221i | \(-0.512564\pi\) | ||||
−0.0394594 | + | 0.999221i | \(0.512564\pi\) | |||||||
\(270\) | 1.65747 | + | 5.34365i | 0.100870 | + | 0.325204i | ||||
\(271\) | 3.86099i | 0.234539i | 0.993100 | + | 0.117269i | \(0.0374141\pi\) | ||||
−0.993100 | + | 0.117269i | \(0.962586\pi\) | |||||||
\(272\) | 4.97506 | + | 12.7254i | 0.301657 | + | 0.771591i | ||||
\(273\) | 17.8710 | + | 24.9330i | 1.08160 | + | 1.50902i | ||||
\(274\) | −0.163357 | − | 0.0583671i | −0.00986876 | − | 0.00352608i | ||||
\(275\) | 8.62737 | − | 23.7035i | 0.520250 | − | 1.42938i | ||||
\(276\) | 15.7195 | + | 10.4804i | 0.946206 | + | 0.630849i | ||||
\(277\) | 24.2259 | + | 4.27169i | 1.45560 | + | 0.256661i | 0.844780 | − | 0.535113i | \(-0.179731\pi\) |
0.610815 | + | 0.791774i | \(0.290842\pi\) | |||||||
\(278\) | 19.5958 | − | 11.4684i | 1.17528 | − | 0.687831i | ||||
\(279\) | 6.61692 | − | 2.57489i | 0.396144 | − | 0.154154i | ||||
\(280\) | −3.74853 | − | 6.23492i | −0.224017 | − | 0.372608i | ||||
\(281\) | 1.24545 | + | 3.42184i | 0.0742972 | + | 0.204130i | 0.971282 | − | 0.237932i | \(-0.0764694\pi\) |
−0.896985 | + | 0.442062i | \(0.854247\pi\) | |||||||
\(282\) | 8.48853 | − | 2.42919i | 0.505484 | − | 0.144656i | ||||
\(283\) | 2.81306 | − | 2.36044i | 0.167219 | − | 0.140314i | −0.555338 | − | 0.831625i | \(-0.687411\pi\) |
0.722557 | + | 0.691311i | \(0.242967\pi\) | |||||||
\(284\) | −11.4706 | − | 4.02221i | −0.680655 | − | 0.238674i | ||||
\(285\) | −2.34525 | + | 2.39752i | −0.138921 | + | 0.142017i | ||||
\(286\) | 41.7083 | + | 7.10064i | 2.46626 | + | 0.419869i | ||||
\(287\) | −4.95948 | − | 8.59007i | −0.292749 | − | 0.507056i | ||||
\(288\) | −15.6268 | + | 6.61849i | −0.920816 | + | 0.389998i | ||||
\(289\) | −2.66602 | + | 4.61769i | −0.156825 | + | 0.271629i | ||||
\(290\) | 2.93741 | − | 3.54295i | 0.172491 | − | 0.208049i | ||||
\(291\) | −22.7263 | + | 10.9040i | −1.33224 | + | 0.639202i | ||||
\(292\) | 1.04295 | + | 5.53201i | 0.0610338 | + | 0.323736i | ||||
\(293\) | −5.15756 | − | 29.2500i | −0.301308 | − | 1.70880i | −0.640394 | − | 0.768046i | \(-0.721229\pi\) |
0.339086 | − | 0.940755i | \(-0.389882\pi\) | |||||||
\(294\) | 1.12424 | + | 10.7510i | 0.0655668 | + | 0.627012i | ||||
\(295\) | −2.33776 | + | 2.78603i | −0.136110 | + | 0.162209i | ||||
\(296\) | −29.6429 | + | 0.525145i | −1.72296 | + | 0.0305235i | ||||
\(297\) | −17.8013 | − | 23.7140i | −1.03293 | − | 1.37603i | ||||
\(298\) | 23.1413 | + | 13.1791i | 1.34054 | + | 0.763444i | ||||
\(299\) | −18.3788 | + | 21.9030i | −1.06287 | + | 1.26668i | ||||
\(300\) | −15.2198 | + | 1.68244i | −0.878715 | + | 0.0971359i | ||||
\(301\) | 21.0930 | − | 3.71926i | 1.21578 | − | 0.214375i | ||||
\(302\) | −17.8107 | + | 15.1251i | −1.02489 | + | 0.870351i | ||||
\(303\) | −0.658905 | + | 8.62508i | −0.0378531 | + | 0.495498i | ||||
\(304\) | −7.94533 | − | 6.35330i | −0.455696 | − | 0.364387i | ||||
\(305\) | −1.75916 | − | 1.01565i | −0.100729 | − | 0.0581559i | ||||
\(306\) | 12.7482 | + | 6.89257i | 0.728764 | + | 0.394022i | ||||
\(307\) | 4.62536 | + | 8.01136i | 0.263983 | + | 0.457232i | 0.967297 | − | 0.253648i | \(-0.0816303\pi\) |
−0.703314 | + | 0.710880i | \(0.748297\pi\) | |||||||
\(308\) | 29.8269 | + | 24.4334i | 1.69955 | + | 1.39222i | ||||
\(309\) | 2.07080 | − | 8.08362i | 0.117803 | − | 0.459861i | ||||
\(310\) | −0.457323 | − | 2.50696i | −0.0259742 | − | 0.142386i | ||||
\(311\) | −20.0930 | + | 16.8601i | −1.13937 | + | 0.956046i | −0.999418 | − | 0.0341122i | \(-0.989140\pi\) |
−0.139953 | + | 0.990158i | \(0.544695\pi\) | |||||||
\(312\) | −7.35725 | − | 24.6067i | −0.416522 | − | 1.39308i | ||||
\(313\) | 18.7936 | − | 6.84033i | 1.06228 | − | 0.386638i | 0.248995 | − | 0.968505i | \(-0.419900\pi\) |
0.813284 | + | 0.581866i | \(0.197677\pi\) | |||||||
\(314\) | −16.5031 | + | 0.0974458i | −0.931324 | + | 0.00549918i | ||||
\(315\) | −7.30736 | − | 2.47869i | −0.411723 | − | 0.139658i | ||||
\(316\) | 0.272845 | + | 23.1033i | 0.0153487 | + | 1.29966i | ||||
\(317\) | −4.07115 | + | 23.0886i | −0.228659 | + | 1.29679i | 0.626907 | + | 0.779094i | \(0.284320\pi\) |
−0.855566 | + | 0.517694i | \(0.826791\pi\) | |||||||
\(318\) | 8.65144 | + | 17.7619i | 0.485149 | + | 0.996037i | ||||
\(319\) | −8.34243 | + | 22.9206i | −0.467086 | + | 1.28331i | ||||
\(320\) | 1.26946 | + | 5.95709i | 0.0709652 | + | 0.333011i | ||||
\(321\) | 0.436498 | + | 4.42675i | 0.0243629 | + | 0.247077i | ||||
\(322\) | −24.4325 | + | 9.05645i | −1.36157 | + | 0.504696i | ||||
\(323\) | 8.68745i | 0.483383i | ||||||||
\(324\) | −8.11514 | + | 16.0669i | −0.450841 | + | 0.892604i | ||||
\(325\) | − | 23.1737i | − | 1.28545i | ||||||
\(326\) | −1.12655 | − | 3.03921i | −0.0623939 | − | 0.168327i | ||||
\(327\) | −1.30731 | − | 13.2581i | −0.0722945 | − | 0.733175i | ||||
\(328\) | 1.58669 | + | 8.15146i | 0.0876102 | + | 0.450089i | ||||
\(329\) | −4.16487 | + | 11.4429i | −0.229617 | + | 0.630866i | ||||
\(330\) | −9.56769 | + | 4.66022i | −0.526684 | + | 0.256537i | ||||
\(331\) | −3.95158 | + | 22.4105i | −0.217198 | + | 1.23179i | 0.659853 | + | 0.751395i | \(0.270619\pi\) |
−0.877051 | + | 0.480397i | \(0.840492\pi\) | |||||||
\(332\) | 0.201072 | + | 17.0259i | 0.0110353 | + | 0.934416i | ||||
\(333\) | −23.6377 | + | 20.7391i | −1.29534 | + | 1.13649i | ||||
\(334\) | −0.0697602 | − | 11.8144i | −0.00381711 | − | 0.646453i | ||||
\(335\) | 2.02337 | − | 0.736446i | 0.110548 | − | 0.0402363i | ||||
\(336\) | 5.27123 | − | 22.8044i | 0.287569 | − | 1.24408i | ||||
\(337\) | 24.5647 | − | 20.6122i | 1.33812 | − | 1.12282i | 0.356018 | − | 0.934479i | \(-0.384134\pi\) |
0.982104 | − | 0.188338i | \(-0.0603101\pi\) | |||||||
\(338\) | 20.1510 | − | 3.67598i | 1.09607 | − | 0.199947i | ||||
\(339\) | 2.60585 | − | 10.1723i | 0.141531 | − | 0.552483i | ||||
\(340\) | 3.29607 | − | 4.02366i | 0.178755 | − | 0.218214i | ||||
\(341\) | 6.75296 | + | 11.6965i | 0.365693 | + | 0.633400i | ||||
\(342\) | −10.7860 | + | 0.301500i | −0.583242 | + | 0.0163033i | ||||
\(343\) | 7.56875 | + | 4.36982i | 0.408674 | + | 0.235948i | ||||
\(344\) | −17.7121 | − | 2.80059i | −0.954971 | − | 0.150997i | ||||
\(345\) | 0.547840 | − | 7.17124i | 0.0294947 | − | 0.386087i | ||||
\(346\) | −4.20081 | − | 4.94672i | −0.225837 | − | 0.265937i | ||||
\(347\) | 14.5793 | − | 2.57072i | 0.782658 | − | 0.138004i | 0.231979 | − | 0.972721i | \(-0.425480\pi\) |
0.550679 | + | 0.834717i | \(0.314369\pi\) | |||||||
\(348\) | 14.7171 | − | 1.62688i | 0.788920 | − | 0.0872097i | ||||
\(349\) | 16.2504 | − | 19.3665i | 0.869864 | − | 1.03666i | −0.129121 | − | 0.991629i | \(-0.541216\pi\) |
0.998985 | − | 0.0450350i | \(-0.0143399\pi\) | |||||||
\(350\) | 10.4513 | − | 18.3515i | 0.558643 | − | 0.980929i | ||||
\(351\) | −22.8188 | − | 14.8786i | −1.21798 | − | 0.794162i | ||||
\(352\) | −16.9587 | − | 27.4675i | −0.903901 | − | 1.46402i | ||||
\(353\) | 0.289344 | − | 0.344827i | 0.0154002 | − | 0.0183533i | −0.758289 | − | 0.651918i | \(-0.773965\pi\) |
0.773690 | + | 0.633565i | \(0.218409\pi\) | |||||||
\(354\) | −11.6375 | + | 1.21693i | −0.618524 | + | 0.0646793i | ||||
\(355\) | 0.803519 | + | 4.55698i | 0.0426464 | + | 0.241860i | ||||
\(356\) | 17.6788 | − | 3.33297i | 0.936975 | − | 0.176647i | ||||
\(357\) | −18.0206 | + | 8.64620i | −0.953753 | + | 0.457605i | ||||
\(358\) | 10.0762 | + | 8.35409i | 0.532546 | + | 0.441527i | ||||
\(359\) | 1.58856 | − | 2.75146i | 0.0838408 | − | 0.145216i | −0.821056 | − | 0.570848i | \(-0.806615\pi\) |
0.904897 | + | 0.425631i | \(0.139948\pi\) | |||||||
\(360\) | 5.11003 | + | 3.95264i | 0.269322 | + | 0.208323i | ||||
\(361\) | 6.26585 | + | 10.8528i | 0.329782 | + | 0.571199i | ||||
\(362\) | −2.78747 | + | 16.3733i | −0.146506 | + | 0.860561i | ||||
\(363\) | 26.1182 | − | 26.7003i | 1.37085 | − | 1.40140i | ||||
\(364\) | 33.4263 | + | 11.7211i | 1.75202 | + | 0.614350i | ||||
\(365\) | 1.64164 | − | 1.37750i | 0.0859275 | − | 0.0721017i | ||||
\(366\) | −1.79804 | − | 6.28303i | −0.0939850 | − | 0.328419i | ||||
\(367\) | −11.2504 | − | 30.9103i | −0.587268 | − | 1.61351i | −0.775476 | − | 0.631377i | \(-0.782490\pi\) |
0.188208 | − | 0.982129i | \(-0.439732\pi\) | |||||||
\(368\) | 21.8096 | − | 0.515207i | 1.13691 | − | 0.0268570i | ||||
\(369\) | 6.87061 | + | 5.51172i | 0.357670 | + | 0.286928i | ||||
\(370\) | 5.70070 | + | 9.74062i | 0.296365 | + | 0.506391i | ||||
\(371\) | −26.8345 | − | 4.73164i | −1.39318 | − | 0.245655i | ||||
\(372\) | 4.54803 | − | 6.82156i | 0.235804 | − | 0.353681i | ||||
\(373\) | 4.07881 | − | 11.2064i | 0.211193 | − | 0.580247i | −0.788188 | − | 0.615434i | \(-0.788981\pi\) |
0.999381 | + | 0.0351875i | \(0.0112029\pi\) | |||||||
\(374\) | −9.27523 | + | 25.9594i | −0.479611 | + | 1.34233i | ||||
\(375\) | 7.23706 | + | 10.0969i | 0.373720 | + | 0.521402i | ||||
\(376\) | 6.41396 | − | 7.92480i | 0.330775 | − | 0.408691i | ||||
\(377\) | 22.4083i | 1.15409i | ||||||||
\(378\) | −11.3602 | − | 22.0737i | −0.584307 | − | 1.13535i | ||||
\(379\) | 1.35817 | 0.0697646 | 0.0348823 | − | 0.999391i | \(-0.488894\pi\) | ||||
0.0348823 | + | 0.999391i | \(0.488894\pi\) | |||||||
\(380\) | −0.627401 | + | 3.82153i | −0.0321850 | + | 0.196040i | ||||
\(381\) | 4.89324 | + | 2.21644i | 0.250688 | + | 0.113551i | ||||
\(382\) | 5.71332 | − | 15.9904i | 0.292319 | − | 0.818138i | ||||
\(383\) | 27.9805 | + | 10.1841i | 1.42973 | + | 0.520381i | 0.936855 | − | 0.349717i | \(-0.113722\pi\) |
0.492879 | + | 0.870098i | \(0.335944\pi\) | |||||||
\(384\) | −10.3844 | + | 16.6182i | −0.529925 | + | 0.848044i | ||||
\(385\) | 2.54877 | − | 14.4548i | 0.129897 | − | 0.736683i | ||||
\(386\) | 0.615379 | − | 0.360151i | 0.0313220 | − | 0.0183312i | ||||
\(387\) | −16.2581 | + | 9.87065i | −0.826446 | + | 0.501753i | ||||
\(388\) | −14.2545 | + | 25.3769i | −0.723661 | + | 1.28832i | ||||
\(389\) | −5.43932 | + | 1.97975i | −0.275784 | + | 0.100377i | −0.476210 | − | 0.879332i | \(-0.657990\pi\) |
0.200426 | + | 0.979709i | \(0.435768\pi\) | |||||||
\(390\) | −6.79536 | + | 7.02937i | −0.344096 | + | 0.355946i | ||||
\(391\) | −11.9750 | − | 14.2712i | −0.605600 | − | 0.721726i | ||||
\(392\) | 8.19132 | + | 9.41808i | 0.413724 | + | 0.475685i | ||||
\(393\) | −27.0779 | + | 7.57630i | −1.36590 | + | 0.382174i | ||||
\(394\) | 5.19918 | + | 0.885135i | 0.261931 | + | 0.0445924i | ||||
\(395\) | 7.61715 | − | 4.39776i | 0.383260 | − | 0.221275i | ||||
\(396\) | −32.5522 | − | 10.6149i | −1.63581 | − | 0.533417i | ||||
\(397\) | 13.5494 | + | 7.82276i | 0.680026 | + | 0.392613i | 0.799865 | − | 0.600180i | \(-0.204904\pi\) |
−0.119839 | + | 0.992793i | \(0.538238\pi\) | |||||||
\(398\) | −28.2751 | − | 23.4425i | −1.41730 | − | 1.17507i | ||||
\(399\) | 8.40099 | − | 12.2838i | 0.420576 | − | 0.614959i | ||||
\(400\) | −13.2725 | + | 11.6821i | −0.663626 | + | 0.584103i | ||||
\(401\) | 32.9174 | − | 5.80423i | 1.64382 | − | 0.289850i | 0.726251 | − | 0.687429i | \(-0.241261\pi\) |
0.917568 | + | 0.397580i | \(0.130150\pi\) | |||||||
\(402\) | 6.32710 | + | 2.82101i | 0.315567 | + | 0.140699i | ||||
\(403\) | 9.50489 | + | 7.97555i | 0.473472 | + | 0.397290i | ||||
\(404\) | 5.09600 | + | 8.59063i | 0.253536 | + | 0.427400i | ||||
\(405\) | 6.84555 | − | 0.301961i | 0.340158 | − | 0.0150045i | ||||
\(406\) | −10.1061 | + | 17.7454i | −0.501556 | + | 0.880689i | ||||
\(407\) | −45.8215 | − | 38.4488i | −2.27129 | − | 1.90584i | ||||
\(408\) | 16.6217 | − | 1.93682i | 0.822895 | − | 0.0958870i | ||||
\(409\) | −4.03315 | − | 22.8731i | −0.199426 | − | 1.13100i | −0.905973 | − | 0.423336i | \(-0.860859\pi\) |
0.706547 | − | 0.707666i | \(-0.250252\pi\) | |||||||
\(410\) | 2.40967 | − | 2.04632i | 0.119005 | − | 0.101061i | ||||
\(411\) | −0.119936 | + | 0.175368i | −0.00591598 | + | 0.00865025i | ||||
\(412\) | −3.40225 | − | 9.01492i | −0.167617 | − | 0.444133i | ||||
\(413\) | 8.06891 | − | 13.9758i | 0.397045 | − | 0.687702i | ||||
\(414\) | 17.3030 | − | 15.3630i | 0.850398 | − | 0.755049i | ||||
\(415\) | 5.61343 | − | 3.24091i | 0.275552 | − | 0.159090i | ||||
\(416\) | −23.2708 | − | 18.3837i | −1.14094 | − | 0.901336i | ||||
\(417\) | −7.49279 | − | 26.7794i | −0.366924 | − | 1.31139i | ||||
\(418\) | −3.68340 | − | 20.1917i | −0.180161 | − | 0.987608i | ||||
\(419\) | 1.20391 | + | 1.43476i | 0.0588147 | + | 0.0700926i | 0.794650 | − | 0.607068i | \(-0.207655\pi\) |
−0.735835 | + | 0.677161i | \(0.763210\pi\) | |||||||
\(420\) | −8.55153 | + | 2.50195i | −0.417272 | + | 0.122083i | ||||
\(421\) | 6.15422 | + | 16.9086i | 0.299938 | + | 0.824073i | 0.994509 | + | 0.104649i | \(0.0333719\pi\) |
−0.694571 | + | 0.719424i | \(0.744406\pi\) | |||||||
\(422\) | 0.0469692 | + | 7.95455i | 0.00228642 | + | 0.387221i | ||||
\(423\) | −0.238323 | − | 10.8110i | −0.0115877 | − | 0.525648i | ||||
\(424\) | 19.9558 | + | 11.0549i | 0.969138 | + | 0.536872i | ||||
\(425\) | 14.8698 | + | 2.62194i | 0.721290 | + | 0.127183i | ||||
\(426\) | −8.33135 | + | 12.3377i | −0.403655 | + | 0.597762i | ||||
\(427\) | 8.46978 | + | 3.08275i | 0.409881 | + | 0.149185i | ||||
\(428\) | 3.34782 | + | 3.89541i | 0.161823 | + | 0.188292i | ||||
\(429\) | 21.3800 | − | 47.2007i | 1.03223 | − | 2.27887i | ||||
\(430\) | 2.37259 | + | 6.40078i | 0.114416 | + | 0.308673i | ||||
\(431\) | −28.7176 | −1.38328 | −0.691640 | − | 0.722242i | \(-0.743111\pi\) | ||||
−0.691640 | + | 0.722242i | \(0.743111\pi\) | |||||||
\(432\) | 2.98155 | + | 20.5696i | 0.143450 | + | 0.989658i | ||||
\(433\) | −6.95359 | −0.334168 | −0.167084 | − | 0.985943i | \(-0.553435\pi\) | ||||
−0.167084 | + | 0.985943i | \(0.553435\pi\) | |||||||
\(434\) | 3.93008 | + | 10.6026i | 0.188650 | + | 0.508941i | ||||
\(435\) | −3.28371 | − | 4.58133i | −0.157442 | − | 0.219658i | ||||
\(436\) | −10.0267 | − | 11.6668i | −0.480193 | − | 0.558737i | ||||
\(437\) | 13.0344 | + | 4.74412i | 0.623519 | + | 0.226942i | ||||
\(438\) | 6.87760 | + | 0.484579i | 0.328625 | + | 0.0231541i | ||||
\(439\) | −32.5793 | − | 5.74462i | −1.55493 | − | 0.274176i | −0.670877 | − | 0.741568i | \(-0.734082\pi\) |
−0.884050 | + | 0.467393i | \(0.845193\pi\) | |||||||
\(440\) | −5.95486 | + | 10.7495i | −0.283887 | + | 0.512460i | ||||
\(441\) | 13.0854 | + | 2.01103i | 0.623116 | + | 0.0957636i | ||||
\(442\) | 0.149535 | + | 25.3247i | 0.00711265 | + | 1.20458i | ||||
\(443\) | 6.00559 | + | 16.5002i | 0.285334 | + | 0.783949i | 0.996703 | + | 0.0811307i | \(0.0258531\pi\) |
−0.711369 | + | 0.702818i | \(0.751925\pi\) | |||||||
\(444\) | −8.59480 | + | 35.2788i | −0.407891 | + | 1.67426i | ||||
\(445\) | −4.40212 | − | 5.24625i | −0.208681 | − | 0.248696i | ||||
\(446\) | −0.296933 | − | 1.62773i | −0.0140602 | − | 0.0770751i | ||||
\(447\) | 22.8076 | − | 23.3159i | 1.07876 | − | 1.10280i | ||||
\(448\) | −10.1374 | − | 25.0533i | −0.478946 | − | 1.18366i | ||||
\(449\) | 35.9869 | − | 20.7770i | 1.69833 | − | 0.980529i | 0.750974 | − | 0.660332i | \(-0.229584\pi\) |
0.947351 | − | 0.320197i | \(-0.103749\pi\) | |||||||
\(450\) | −2.73925 | + | 18.5528i | −0.129129 | + | 0.874586i | ||||
\(451\) | −8.37736 | + | 14.5100i | −0.394475 | + | 0.683250i | ||||
\(452\) | −4.28134 | − | 11.3442i | −0.201377 | − | 0.533588i | ||||
\(453\) | 12.3796 | + | 25.8018i | 0.581642 | + | 1.21227i | ||||
\(454\) | −11.7971 | + | 10.0182i | −0.553664 | + | 0.470178i | ||||
\(455\) | −2.34152 | − | 13.2794i | −0.109772 | − | 0.622550i | ||||
\(456\) | −9.99669 | + | 7.43675i | −0.468138 | + | 0.348258i | ||||
\(457\) | 13.2175 | + | 11.0908i | 0.618287 | + | 0.518804i | 0.897265 | − | 0.441493i | \(-0.145551\pi\) |
−0.278978 | + | 0.960298i | \(0.589996\pi\) | |||||||
\(458\) | −3.92007 | + | 6.88330i | −0.183173 | + | 0.321635i | ||||
\(459\) | 12.1289 | − | 12.9586i | 0.566127 | − | 0.604856i | ||||
\(460\) | −4.23702 | − | 7.14260i | −0.197552 | − | 0.333025i | ||||
\(461\) | 12.7382 | + | 10.6886i | 0.593276 | + | 0.497817i | 0.889276 | − | 0.457370i | \(-0.151209\pi\) |
−0.296001 | + | 0.955188i | \(0.595653\pi\) | |||||||
\(462\) | 38.2183 | − | 27.7364i | 1.77808 | − | 1.29041i | ||||
\(463\) | −22.8699 | + | 4.03258i | −1.06285 | + | 0.187410i | −0.677622 | − | 0.735410i | \(-0.736990\pi\) |
−0.385232 | + | 0.922820i | \(0.625878\pi\) | |||||||
\(464\) | 12.8341 | − | 11.2962i | 0.595810 | − | 0.524414i | ||||
\(465\) | −3.11199 | − | 0.237737i | −0.144315 | − | 0.0110248i | ||||
\(466\) | 15.0967 | + | 12.5164i | 0.699339 | + | 0.579813i | ||||
\(467\) | −19.4081 | − | 11.2053i | −0.898099 | − | 0.518518i | −0.0215159 | − | 0.999769i | \(-0.506849\pi\) |
−0.876583 | + | 0.481251i | \(0.840183\pi\) | |||||||
\(468\) | −31.4371 | + | 1.06456i | −1.45318 | + | 0.0492093i | ||||
\(469\) | −8.27432 | + | 4.77718i | −0.382073 | + | 0.220590i | ||||
\(470\) | −3.82603 | − | 0.651362i | −0.176481 | − | 0.0300451i | ||||
\(471\) | −5.01589 | + | 19.5802i | −0.231120 | + | 0.902207i | ||||
\(472\) | −10.1946 | + | 8.86671i | −0.469245 | + | 0.408123i | ||||
\(473\) | −23.2555 | − | 27.7148i | −1.06929 | − | 1.27433i | ||||
\(474\) | 27.4534 | + | 6.86031i | 1.26098 | + | 0.315104i | ||||
\(475\) | −10.5642 | + | 3.84505i | −0.484718 | + | 0.176423i | ||||
\(476\) | −11.3029 | + | 20.1224i | −0.518070 | + | 0.922307i | ||||
\(477\) | 23.7311 | − | 4.72594i | 1.08657 | − | 0.216386i | ||||
\(478\) | −21.1404 | + | 12.3724i | −0.966938 | + | 0.565901i | ||||
\(479\) | 5.11572 | − | 29.0127i | 0.233743 | − | 1.32562i | −0.611502 | − | 0.791243i | \(-0.709434\pi\) |
0.845245 | − | 0.534379i | \(-0.179455\pi\) | |||||||
\(480\) | 7.45160 | + | 0.348413i | 0.340117 | + | 0.0159028i | ||||
\(481\) | −51.6380 | − | 18.7947i | −2.35449 | − | 0.856965i | ||||
\(482\) | −0.913299 | + | 2.55613i | −0.0415996 | + | 0.116429i | ||||
\(483\) | 3.13160 | + | 31.7592i | 0.142493 | + | 1.44509i | ||||
\(484\) | 6.98715 | − | 42.5591i | 0.317598 | − | 1.93450i | ||||
\(485\) | 11.0801 | 0.503123 | ||||||||
\(486\) | 16.5099 | + | 14.6090i | 0.748903 | + | 0.662680i | ||||
\(487\) | 27.2531i | 1.23496i | 0.786587 | + | 0.617479i | \(0.211846\pi\) | ||||
−0.786587 | + | 0.617479i | \(0.788154\pi\) | |||||||
\(488\) | −5.86577 | − | 4.74748i | −0.265531 | − | 0.214908i | ||||
\(489\) | −3.95059 | + | 0.389547i | −0.178652 | + | 0.0176159i | ||||
\(490\) | 1.59875 | − | 4.47455i | 0.0722240 | − | 0.202140i | ||||
\(491\) | −5.33019 | + | 14.6446i | −0.240548 | + | 0.660900i | 0.759399 | + | 0.650625i | \(0.225493\pi\) |
−0.999947 | + | 0.0102751i | \(0.996729\pi\) | |||||||
\(492\) | 10.1497 | + | 0.654922i | 0.457585 | + | 0.0295261i | ||||
\(493\) | −14.3787 | − | 2.53534i | −0.647582 | − | 0.114186i | ||||
\(494\) | −9.52427 | − | 16.2738i | −0.428517 | − | 0.732195i | ||||
\(495\) | 2.54569 | + | 12.7831i | 0.114420 | + | 0.574556i | ||||
\(496\) | −0.223576 | − | 9.46437i | −0.0100388 | − | 0.424963i | ||||
\(497\) | −7.02247 | − | 19.2941i | −0.315001 | − | 0.865458i | ||||
\(498\) | 20.2317 | + | 5.05568i | 0.906604 | + | 0.226550i | ||||
\(499\) | 4.83664 | − | 4.05842i | 0.216518 | − | 0.181680i | −0.528077 | − | 0.849196i | \(-0.677087\pi\) |
0.744595 | + | 0.667516i | \(0.232642\pi\) | |||||||
\(500\) | 13.5364 | + | 4.74658i | 0.605365 | + | 0.212273i | ||||
\(501\) | −14.0172 | − | 3.59081i | −0.626243 | − | 0.160426i | ||||
\(502\) | 5.11209 | − | 30.0279i | 0.228164 | − | 1.34021i | ||||
\(503\) | 3.45933 | + | 5.99174i | 0.154244 | + | 0.267159i | 0.932784 | − | 0.360437i | \(-0.117372\pi\) |
−0.778539 | + | 0.627596i | \(0.784039\pi\) | |||||||
\(504\) | −25.3755 | − | 13.3350i | −1.13031 | − | 0.593987i | ||||
\(505\) | 1.90118 | − | 3.29294i | 0.0846015 | − | 0.146534i | ||||
\(506\) | 33.8835 | + | 28.0924i | 1.50631 | + | 1.24886i | ||||
\(507\) | 1.91094 | − | 25.0142i | 0.0848677 | − | 1.11092i | ||||
\(508\) | 6.09546 | − | 1.14917i | 0.270442 | − | 0.0509863i | ||||
\(509\) | 6.85834 | + | 38.8956i | 0.303991 | + | 1.72402i | 0.628218 | + | 0.778037i | \(0.283785\pi\) |
−0.324227 | + | 0.945979i | \(0.605104\pi\) | |||||||
\(510\) | −3.74165 | − | 5.15567i | −0.165683 | − | 0.228297i | ||||
\(511\) | −6.11230 | + | 7.28435i | −0.270392 | + | 0.322241i | ||||
\(512\) | 1.20189 | + | 22.5955i | 0.0531166 | + | 0.998588i | ||||
\(513\) | −2.99655 | + | 12.8711i | −0.132301 | + | 0.568272i | ||||
\(514\) | −6.30600 | + | 11.0728i | −0.278146 | + | 0.488400i | ||||
\(515\) | −2.35778 | + | 2.80989i | −0.103896 | + | 0.123818i | ||||
\(516\) | −8.82486 | + | 20.1113i | −0.388493 | + | 0.885349i | ||||
\(517\) | 20.2569 | − | 3.57183i | 0.890896 | − | 0.157089i | ||||
\(518\) | −32.4164 | − | 38.1723i | −1.42429 | − | 1.67719i | ||||
\(519\) | −7.16614 | + | 3.43827i | −0.314559 | + | 0.150923i | ||||
\(520\) | −1.76316 | + | 11.1509i | −0.0773195 | + | 0.489001i | ||||
\(521\) | 0.808019 | + | 0.466510i | 0.0353999 | + | 0.0204382i | 0.517596 | − | 0.855625i | \(-0.326827\pi\) |
−0.482196 | + | 0.876064i | \(0.660161\pi\) | |||||||
\(522\) | 2.64878 | − | 17.9400i | 0.115934 | − | 0.785213i | ||||
\(523\) | −18.5482 | − | 32.1264i | −0.811057 | − | 1.40479i | −0.912125 | − | 0.409912i | \(-0.865560\pi\) |
0.101069 | − | 0.994879i | \(-0.467774\pi\) | |||||||
\(524\) | −20.5747 | + | 25.1164i | −0.898809 | + | 1.09722i | ||||
\(525\) | −18.4899 | − | 18.0868i | −0.806966 | − | 0.789373i | ||||
\(526\) | −8.63949 | + | 1.57603i | −0.376700 | + | 0.0687182i | ||||
\(527\) | −6.19304 | + | 5.19658i | −0.269773 | + | 0.226367i | ||||
\(528\) | −37.8115 | + | 11.5491i | −1.64553 | + | 0.502609i | ||||
\(529\) | −6.33854 | + | 2.30704i | −0.275589 | + | 0.100306i | ||||
\(530\) | −0.0512783 | − | 8.68434i | −0.00222739 | − | 0.377223i | ||||
\(531\) | −2.17685 | + | 14.1643i | −0.0944672 | + | 0.614680i | ||||
\(532\) | −0.202926 | − | 17.1828i | −0.00879795 | − | 0.744970i | ||||
\(533\) | −2.67286 | + | 15.1585i | −0.115774 | + | 0.656590i | ||||
\(534\) | 1.54859 | − | 21.9790i | 0.0670138 | − | 0.951123i | ||||
\(535\) | 0.668751 | − | 1.83738i | 0.0289126 | − | 0.0794368i | ||||
\(536\) | 7.85183 | − | 1.52836i | 0.339147 | − | 0.0660153i | ||||
\(537\) | 13.0294 | − | 9.33897i | 0.562261 | − | 0.403006i | ||||
\(538\) | 0.636216 | + | 1.71639i | 0.0274292 | + | 0.0739988i | ||||
\(539\) | 25.1830i | 1.08471i | ||||||||
\(540\) | 6.27124 | − | 4.82443i | 0.269871 | − | 0.207611i | ||||
\(541\) | − | 25.5189i | − | 1.09714i | −0.836104 | − | 0.548571i | \(-0.815172\pi\) | ||
0.836104 | − | 0.548571i | \(-0.184828\pi\) | |||||||
\(542\) | 5.11986 | − | 1.89779i | 0.219917 | − | 0.0815169i | ||||
\(543\) | 18.5294 | + | 8.39305i | 0.795172 | + | 0.360180i | ||||
\(544\) | 14.4291 | − | 12.8521i | 0.618643 | − | 0.551027i | ||||
\(545\) | −2.00291 | + | 5.50295i | −0.0857952 | + | 0.235720i | ||||
\(546\) | 24.2783 | − | 35.9530i | 1.03901 | − | 1.53865i | ||||
\(547\) | −3.90042 | + | 22.1204i | −0.166770 | + | 0.945800i | 0.780451 | + | 0.625218i | \(0.214990\pi\) |
−0.947221 | + | 0.320582i | \(0.896121\pi\) | |||||||
\(548\) | 0.00289704 | + | 0.245308i | 0.000123755 | + | 0.0104790i | ||||
\(549\) | −8.00206 | + | 0.176402i | −0.341520 | + | 0.00752864i | ||||
\(550\) | −35.6726 | + | 0.210636i | −1.52108 | + | 0.00898153i | ||||
\(551\) | 10.2153 | − | 3.71805i | 0.435185 | − | 0.158394i | ||||
\(552\) | 6.17097 | − | 25.9963i | 0.262654 | − | 1.10648i | ||||
\(553\) | −29.8970 | + | 25.0866i | −1.27135 | + | 1.06679i | ||||
\(554\) | −6.24326 | − | 34.2244i | −0.265251 | − | 1.45405i | ||||
\(555\) | 13.3114 | − | 3.72449i | 0.565039 | − | 0.158096i | ||||
\(556\) | −24.8396 | − | 20.3479i | −1.05343 | − | 0.862942i | ||||
\(557\) | 12.6918 | + | 21.9828i | 0.537768 | + | 0.931441i | 0.999024 | + | 0.0441741i | \(0.0140656\pi\) |
−0.461256 | + | 0.887267i | \(0.652601\pi\) | |||||||
\(558\) | −6.66682 | − | 7.50871i | −0.282229 | − | 0.317869i | ||||
\(559\) | −28.7844 | − | 16.6187i | −1.21745 | − | 0.702896i | ||||
\(560\) | −6.42529 | + | 8.03536i | −0.271518 | + | 0.339556i | ||||
\(561\) | 27.8680 | + | 19.0592i | 1.17659 | + | 0.804680i | ||||
\(562\) | 3.92535 | − | 3.33345i | 0.165581 | − | 0.140613i | ||||
\(563\) | −24.4865 | + | 4.31763i | −1.03198 | + | 0.181966i | −0.663896 | − | 0.747825i | \(-0.731098\pi\) |
−0.368087 | + | 0.929791i | \(0.619987\pi\) | |||||||
\(564\) | −7.39357 | − | 10.0622i | −0.311326 | − | 0.423694i | ||||
\(565\) | −2.96699 | + | 3.53592i | −0.124822 | + | 0.148757i | ||||
\(566\) | −4.51275 | − | 2.57003i | −0.189685 | − | 0.108026i | ||||
\(567\) | −29.6812 | + | 6.59413i | −1.24649 | + | 0.276927i | ||||
\(568\) | 0.304491 | + | 17.1876i | 0.0127761 | + | 0.721175i | ||||
\(569\) | −7.57957 | + | 9.03298i | −0.317752 | + | 0.378682i | −0.901152 | − | 0.433503i | \(-0.857277\pi\) |
0.583400 | + | 0.812185i | \(0.301722\pi\) | |||||||
\(570\) | 4.33198 | + | 1.93146i | 0.181447 | + | 0.0809001i | ||||
\(571\) | −5.98228 | − | 33.9272i | −0.250351 | − | 1.41981i | −0.807731 | − | 0.589551i | \(-0.799305\pi\) |
0.557380 | − | 0.830257i | \(-0.311807\pi\) | |||||||
\(572\) | −11.0850 | − | 58.7974i | −0.463488 | − | 2.45844i | ||||
\(573\) | −17.1660 | − | 11.7400i | −0.717122 | − | 0.490446i | ||||
\(574\) | −8.95311 | + | 10.7988i | −0.373696 | + | 0.450732i | ||||
\(575\) | 12.0541 | − | 20.8783i | 0.502691 | − | 0.870686i | ||||
\(576\) | 16.4574 | + | 17.4686i | 0.685726 | + | 0.727860i | ||||
\(577\) | 21.3516 | + | 36.9821i | 0.888880 | + | 1.53958i | 0.841201 | + | 0.540722i | \(0.181849\pi\) |
0.0476781 | + | 0.998863i | \(0.484818\pi\) | |||||||
\(578\) | 7.43369 | + | 1.26555i | 0.309201 | + | 0.0526399i | ||||
\(579\) | −0.235301 | − | 0.840972i | −0.00977877 | − | 0.0349496i | ||||
\(580\) | −6.14194 | − | 2.15369i | −0.255030 | − | 0.0894271i | ||||
\(581\) | −22.0325 | + | 18.4875i | −0.914062 | + | 0.766989i | ||||
\(582\) | 25.6298 | + | 24.7766i | 1.06239 | + | 1.02702i | ||||
\(583\) | 15.7422 | + | 43.2513i | 0.651974 | + | 1.79128i | ||||
\(584\) | 6.82306 | − | 4.10213i | 0.282340 | − | 0.169747i | ||||
\(585\) | 6.21423 | + | 10.2356i | 0.256927 | + | 0.423188i | ||||
\(586\) | −36.2518 | + | 21.2163i | −1.49755 | + | 0.876439i | ||||
\(587\) | −0.937739 | − | 0.165349i | −0.0387046 | − | 0.00682467i | 0.154262 | − | 0.988030i | \(-0.450700\pi\) |
−0.192967 | + | 0.981205i | \(0.561811\pi\) | |||||||
\(588\) | 13.7038 | − | 6.77522i | 0.565134 | − | 0.279405i | ||||
\(589\) | 2.05873 | − | 5.65631i | 0.0848285 | − | 0.233064i | ||||
\(590\) | 4.84348 | + | 1.73057i | 0.199403 | + | 0.0712463i | ||||
\(591\) | 2.66513 | − | 5.88383i | 0.109629 | − | 0.242028i | ||||
\(592\) | 15.2667 | + | 39.0497i | 0.627456 | + | 1.60493i | ||||
\(593\) | − | 11.5209i | − | 0.473108i | −0.971618 | − | 0.236554i | \(-0.923982\pi\) | ||
0.971618 | − | 0.236554i | \(-0.0760180\pi\) | |||||||
\(594\) | −22.6961 | + | 35.2614i | −0.931230 | + | 1.44679i | ||||
\(595\) | 8.78588 | 0.360186 | ||||||||
\(596\) | 6.10147 | − | 37.1644i | 0.249926 | − | 1.52231i | ||||
\(597\) | −36.5621 | + | 26.2062i | −1.49639 | + | 1.07255i | ||||
\(598\) | 38.0781 | + | 13.6052i | 1.55713 | + | 0.556359i | ||||
\(599\) | 45.3618 | + | 16.5103i | 1.85343 | + | 0.674594i | 0.983360 | + | 0.181668i | \(0.0581495\pi\) |
0.870071 | + | 0.492926i | \(0.164073\pi\) | |||||||
\(600\) | 9.71195 | + | 19.3552i | 0.396489 | + | 0.790172i | ||||
\(601\) | 4.24537 | − | 24.0767i | 0.173172 | − | 0.982109i | −0.767060 | − | 0.641575i | \(-0.778281\pi\) |
0.940232 | − | 0.340534i | \(-0.110608\pi\) | |||||||
\(602\) | −15.2997 | − | 26.1422i | −0.623570 | − | 1.06548i | ||||
\(603\) | 5.30912 | − | 6.61807i | 0.216204 | − | 0.269508i | ||||
\(604\) | 28.8111 | + | 16.1835i | 1.17231 | + | 0.658496i | ||||
\(605\) | −15.4281 | + | 5.61535i | −0.627240 | + | 0.228297i | ||||
\(606\) | 11.7611 | − | 3.36573i | 0.477763 | − | 0.136723i | ||||
\(607\) | 18.4241 | + | 21.9570i | 0.747812 | + | 0.891207i | 0.997012 | − | 0.0772447i | \(-0.0246123\pi\) |
−0.249201 | + | 0.968452i | \(0.580168\pi\) | |||||||
\(608\) | −4.51942 | + | 13.6587i | −0.183287 | + | 0.553934i | ||||
\(609\) | 17.8792 | + | 17.4894i | 0.724503 | + | 0.708708i | ||||
\(610\) | −0.482124 | + | 2.83194i | −0.0195206 | + | 0.114662i | ||||
\(611\) | 16.3652 | − | 9.44843i | 0.662064 | − | 0.382243i | ||||
\(612\) | 2.87380 | − | 20.2926i | 0.116166 | − | 0.820278i | ||||
\(613\) | 32.4005 | + | 18.7064i | 1.30864 | + | 0.755546i | 0.981870 | − | 0.189556i | \(-0.0607049\pi\) |
0.326774 | + | 0.945102i | \(0.394038\pi\) | |||||||
\(614\) | 8.34994 | − | 10.0712i | 0.336976 | − | 0.406442i | ||||
\(615\) | −1.67487 | − | 3.49081i | −0.0675373 | − | 0.140763i | ||||
\(616\) | 17.7390 | − | 51.5615i | 0.714726 | − | 2.07747i | ||||
\(617\) | 6.61066 | − | 1.16564i | 0.266135 | − | 0.0469268i | −0.0389880 | − | 0.999240i | \(-0.512413\pi\) |
0.305123 | + | 0.952313i | \(0.401302\pi\) | |||||||
\(618\) | −11.7371 | + | 1.22735i | −0.472136 | + | 0.0493714i | ||||
\(619\) | −5.88154 | − | 4.93520i | −0.236399 | − | 0.198362i | 0.516890 | − | 0.856052i | \(-0.327090\pi\) |
−0.753289 | + | 0.657689i | \(0.771534\pi\) | |||||||
\(620\) | −3.09956 | + | 1.83867i | −0.124481 | + | 0.0738428i | ||||
\(621\) | −12.8192 | − | 25.2743i | −0.514418 | − | 1.01422i | ||||
\(622\) | 32.2335 | + | 18.3571i | 1.29245 | + | 0.736053i | ||||
\(623\) | 23.2788 | + | 19.5333i | 0.932647 | + | 0.782583i | ||||
\(624\) | −29.0133 | + | 21.8509i | −1.16146 | + | 0.874737i | ||||
\(625\) | 2.88969 | + | 16.3882i | 0.115588 | + | 0.655530i | ||||
\(626\) | −18.3082 | − | 21.5590i | −0.731743 | − | 0.861673i | ||||
\(627\) | −25.0648 | − | 1.91480i | −1.00099 | − | 0.0764697i | ||||
\(628\) | 8.24095 | + | 21.8360i | 0.328850 | + | 0.871351i | ||||
\(629\) | 17.9024 | − | 31.0079i | 0.713815 | − | 1.23636i | ||||
\(630\) | 0.304917 | + | 10.9082i | 0.0121482 | + | 0.434595i | ||||
\(631\) | 2.13355 | − | 1.23181i | 0.0849353 | − | 0.0490374i | −0.456931 | − | 0.889502i | \(-0.651051\pi\) |
0.541866 | + | 0.840465i | \(0.317718\pi\) | |||||||
\(632\) | 30.5019 | − | 11.7177i | 1.21330 | − | 0.466105i | ||||
\(633\) | 9.43771 | + | 2.41768i | 0.375115 | + | 0.0960940i | ||||
\(634\) | 32.6177 | − | 5.95018i | 1.29542 | − | 0.236312i | ||||
\(635\) | −1.51780 | − | 1.80885i | −0.0602322 | − | 0.0717820i | ||||
\(636\) | 19.3007 | − | 20.2027i | 0.765321 | − | 0.801088i | ||||
\(637\) | 7.91276 | + | 21.7401i | 0.313515 | + | 0.861375i | ||||
\(638\) | 34.4944 | − | 0.203679i | 1.36565 | − | 0.00806372i | ||||
\(639\) | 12.0250 | + | 13.7056i | 0.475700 | + | 0.542187i | ||||
\(640\) | 7.27540 | − | 4.61144i | 0.287586 | − | 0.182283i | ||||
\(641\) | −34.3110 | − | 6.04995i | −1.35520 | − | 0.238959i | −0.551592 | − | 0.834114i | \(-0.685979\pi\) |
−0.803610 | + | 0.595156i | \(0.797090\pi\) | |||||||
\(642\) | 5.65552 | − | 2.75469i | 0.223206 | − | 0.108719i | ||||
\(643\) | 45.2740 | + | 16.4784i | 1.78543 | + | 0.649844i | 0.999503 | + | 0.0315285i | \(0.0100375\pi\) |
0.785930 | + | 0.618316i | \(0.212185\pi\) | |||||||
\(644\) | 24.0185 | + | 27.9472i | 0.946463 | + | 1.10127i | ||||
\(645\) | 8.32020 | − | 0.820411i | 0.327608 | − | 0.0323036i | ||||
\(646\) | 11.5200 | − | 4.27012i | 0.453247 | − | 0.168006i | ||||
\(647\) | −0.709735 | −0.0279025 | −0.0139513 | − | 0.999903i | \(-0.504441\pi\) | ||||
−0.0139513 | + | 0.999903i | \(0.504441\pi\) | |||||||
\(648\) | 25.2942 | + | 2.86374i | 0.993652 | + | 0.112498i | ||||
\(649\) | −27.2594 | −1.07002 | ||||||||
\(650\) | −30.7294 | + | 11.3905i | −1.20531 | + | 0.446773i | ||||
\(651\) | 13.7820 | − | 1.35897i | 0.540160 | − | 0.0532623i | ||||
\(652\) | −3.47641 | + | 2.98772i | −0.136147 | + | 0.117008i | ||||
\(653\) | 0.660215 | + | 0.240299i | 0.0258362 | + | 0.00940361i | 0.354906 | − | 0.934902i | \(-0.384513\pi\) |
−0.329070 | + | 0.944306i | \(0.606735\pi\) | |||||||
\(654\) | −16.9383 | + | 8.25028i | −0.662339 | + | 0.322612i | ||||
\(655\) | 12.1720 | + | 2.14625i | 0.475598 | + | 0.0838608i | ||||
\(656\) | 10.0293 | − | 6.11069i | 0.391579 | − | 0.238582i | ||||
\(657\) | 2.71250 | − | 7.99667i | 0.105825 | − | 0.311980i | ||||
\(658\) | 17.2209 | − | 0.101684i | 0.671342 | − | 0.00396407i | ||||
\(659\) | −12.8249 | − | 35.2362i | −0.499589 | − | 1.37261i | −0.891673 | − | 0.452680i | \(-0.850468\pi\) |
0.392084 | − | 0.919929i | \(-0.371754\pi\) | |||||||
\(660\) | 10.8825 | + | 10.3966i | 0.423599 | + | 0.404686i | ||||
\(661\) | 2.70452 | + | 3.22312i | 0.105194 | + | 0.125365i | 0.816072 | − | 0.577950i | \(-0.196147\pi\) |
−0.710879 | + | 0.703314i | \(0.751703\pi\) | |||||||
\(662\) | 31.6597 | − | 5.77541i | 1.23049 | − | 0.224468i | ||||
\(663\) | 30.0467 | + | 7.69711i | 1.16692 | + | 0.298931i | ||||
\(664\) | 22.4783 | − | 8.63532i | 0.872326 | − | 0.335115i | ||||
\(665\) | −5.66518 | + | 3.27079i | −0.219686 | + | 0.126836i | ||||
\(666\) | 39.1196 | + | 21.1508i | 1.51585 | + | 0.819578i | ||||
\(667\) | −11.6560 | + | 20.1887i | −0.451321 | + | 0.781711i | ||||
\(668\) | −15.6321 | + | 5.89959i | −0.604824 | + | 0.228262i | ||||
\(669\) | −2.02056 | − | 0.154359i | −0.0781194 | − | 0.00596786i | ||||
\(670\) | −1.97110 | − | 2.32110i | −0.0761504 | − | 0.0896718i | ||||
\(671\) | −2.64380 | − | 14.9937i | −0.102063 | − | 0.578826i | ||||
\(672\) | −32.8306 | + | 4.21908i | −1.26647 | + | 0.162755i | ||||
\(673\) | −30.4222 | − | 25.5272i | −1.17269 | − | 0.984002i | −0.172689 | − | 0.984976i | \(-0.555245\pi\) |
−1.00000 | 0.000974390i | \(0.999690\pi\) | ||||||||
\(674\) | −39.4069 | − | 22.4424i | −1.51790 | − | 0.864449i | ||||
\(675\) | 21.1262 | + | 9.01360i | 0.813150 | + | 0.346934i | ||||
\(676\) | −14.7793 | − | 24.9143i | −0.568434 | − | 0.958243i | ||||
\(677\) | 2.47156 | + | 2.07389i | 0.0949899 | + | 0.0797060i | 0.689046 | − | 0.724718i | \(-0.258030\pi\) |
−0.594056 | + | 0.804424i | \(0.702474\pi\) | |||||||
\(678\) | −14.7698 | + | 1.54448i | −0.567230 | + | 0.0593154i | ||||
\(679\) | −48.4182 | + | 8.53744i | −1.85812 | + | 0.327637i | ||||
\(680\) | −6.95567 | − | 2.39300i | −0.266738 | − | 0.0917675i | ||||
\(681\) | 8.19968 | + | 17.0900i | 0.314213 | + | 0.654890i | ||||
\(682\) | 12.1908 | − | 14.7039i | 0.466810 | − | 0.563041i | ||||
\(683\) | 10.7853 | + | 6.22690i | 0.412689 | + | 0.238266i | 0.691944 | − | 0.721951i | \(-0.256754\pi\) |
−0.279256 | + | 0.960217i | \(0.590088\pi\) | |||||||
\(684\) | 5.70144 | + | 14.1546i | 0.218000 | + | 0.541214i | ||||
\(685\) | 0.0808781 | − | 0.0466950i | 0.00309019 | − | 0.00178412i | ||||
\(686\) | 2.07433 | − | 12.1844i | 0.0791985 | − | 0.465203i | ||||
\(687\) | 6.93521 | + | 6.78402i | 0.264595 | + | 0.258826i | ||||
\(688\) | 4.99227 | + | 24.8636i | 0.190328 | + | 0.947916i | ||||
\(689\) | 27.1800 | + | 32.3918i | 1.03547 | + | 1.23403i | ||||
\(690\) | −9.77868 | + | 2.79840i | −0.372268 | + | 0.106533i | ||||
\(691\) | −33.7240 | + | 12.2745i | −1.28292 | + | 0.466945i | −0.891397 | − | 0.453222i | \(-0.850274\pi\) |
−0.391524 | + | 0.920168i | \(0.628052\pi\) | |||||||
\(692\) | −4.49477 | + | 8.00193i | −0.170865 | + | 0.304188i | ||||
\(693\) | −20.9738 | − | 53.8983i | −0.796729 | − | 2.04743i | ||||
\(694\) | −10.5750 | − | 18.0693i | −0.401423 | − | 0.685899i | ||||
\(695\) | −2.12259 | + | 12.0378i | −0.0805144 | + | 0.456620i | ||||
\(696\) | −9.39118 | − | 18.7159i | −0.355972 | − | 0.709425i | ||||
\(697\) | −9.42430 | − | 3.43016i | −0.356971 | − | 0.129927i | ||||
\(698\) | −33.6684 | − | 12.0296i | −1.27437 | − | 0.455328i | ||||
\(699\) | 19.5212 | − | 13.9920i | 0.738361 | − | 0.529227i | ||||
\(700\) | −29.4720 | − | 4.83858i | −1.11394 | − | 0.182881i | ||||
\(701\) | 35.4138 | 1.33756 | 0.668781 | − | 0.743459i | \(-0.266816\pi\) | ||||
0.668781 | + | 0.743459i | \(0.266816\pi\) | |||||||
\(702\) | −8.51368 | + | 37.5720i | −0.321328 | + | 1.41806i | ||||
\(703\) | 26.6587i | 1.00545i | ||||||||
\(704\) | −28.0875 | + | 35.9891i | −1.05859 | + | 1.35639i | ||||
\(705\) | −1.96125 | + | 4.32985i | −0.0738648 | + | 0.163072i | ||||
\(706\) | −0.599477 | − | 0.214192i | −0.0225616 | − | 0.00806121i | ||||
\(707\) | −5.77056 | + | 15.8545i | −0.217024 | + | 0.596269i | ||||
\(708\) | 7.33385 | + | 14.8337i | 0.275623 | + | 0.557484i | ||||
\(709\) | −2.07523 | − | 0.365919i | −0.0779368 | − | 0.0137424i | 0.134544 | − | 0.990908i | \(-0.457043\pi\) |
−0.212481 | + | 0.977165i | \(0.568154\pi\) | |||||||
\(710\) | 5.64782 | − | 3.30539i | 0.211959 | − | 0.124049i | ||||
\(711\) | 16.6630 | − | 30.3887i | 0.624910 | − | 1.13967i | ||||
\(712\) | −13.1093 | − | 21.8047i | −0.491292 | − | 0.817164i | ||||
\(713\) | 4.41483 | + | 12.1296i | 0.165337 | + | 0.454259i | ||||
\(714\) | 20.3229 | + | 19.6464i | 0.760566 | + | 0.735246i | ||||
\(715\) | −17.4483 | + | 14.6409i | −0.652530 | + | 0.547538i | ||||
\(716\) | 6.12516 | − | 17.4678i | 0.228908 | − | 0.652804i | ||||
\(717\) | 8.08339 | + | 28.8903i | 0.301880 | + | 1.07893i | ||||
\(718\) | −4.42938 | − | 0.754081i | −0.165303 | − | 0.0281420i | ||||
\(719\) | −2.79238 | − | 4.83654i | −0.104138 | − | 0.180373i | 0.809248 | − | 0.587468i | \(-0.199875\pi\) |
−0.913386 | + | 0.407095i | \(0.866542\pi\) | |||||||
\(720\) | 2.72967 | − | 8.71897i | 0.101729 | − | 0.324937i | ||||
\(721\) | 8.13800 | − | 14.0954i | 0.303075 | − | 0.524941i | ||||
\(722\) | 11.3114 | − | 13.6433i | 0.420969 | − | 0.507749i | ||||
\(723\) | 2.74407 | + | 1.87669i | 0.102053 | + | 0.0697949i | ||||
\(724\) | 23.0819 | − | 4.35161i | 0.857830 | − | 0.161726i | ||||
\(725\) | −3.28091 | − | 18.6070i | −0.121850 | − | 0.691046i | ||||
\(726\) | −48.2438 | − | 21.5100i | −1.79049 | − | 0.798313i | ||||
\(727\) | −3.41147 | + | 4.06563i | −0.126524 | + | 0.150786i | −0.825588 | − | 0.564274i | \(-0.809156\pi\) |
0.699063 | + | 0.715060i | \(0.253601\pi\) | |||||||
\(728\) | −0.887312 | − | 50.0861i | −0.0328860 | − | 1.85632i | ||||
\(729\) | 22.4396 | − | 15.0155i | 0.831095 | − | 0.556130i | ||||
\(730\) | −2.63354 | − | 1.49981i | −0.0974719 | − | 0.0555106i | ||||
\(731\) | 13.9204 | − | 16.5897i | 0.514864 | − | 0.613591i | ||||
\(732\) | −7.44780 | + | 5.47257i | −0.275279 | + | 0.202272i | ||||
\(733\) | −44.4108 | + | 7.83081i | −1.64035 | + | 0.289238i | −0.916294 | − | 0.400505i | \(-0.868835\pi\) |
−0.724054 | + | 0.689743i | \(0.757723\pi\) | |||||||
\(734\) | −35.4586 | + | 30.1119i | −1.30880 | + | 1.11145i | ||||
\(735\) | −4.80354 | − | 3.28518i | −0.177181 | − | 0.121176i | ||||
\(736\) | −11.4032 | − | 28.6674i | −0.420329 | − | 1.05669i | ||||
\(737\) | 13.9767 | + | 8.06943i | 0.514837 | + | 0.297241i | ||||
\(738\) | 3.93170 | − | 11.8199i | 0.144728 | − | 0.435097i | ||||
\(739\) | 9.87524 | + | 17.1044i | 0.363267 | + | 0.629196i | 0.988496 | − | 0.151244i | \(-0.0483280\pi\) |
−0.625230 | + | 0.780441i | \(0.714995\pi\) | |||||||
\(740\) | 10.1145 | − | 12.3472i | 0.371815 | − | 0.453891i | ||||
\(741\) | −22.2397 | + | 6.22259i | −0.816996 | + | 0.228592i | ||||
\(742\) | 6.91551 | + | 37.9095i | 0.253876 | + | 1.39170i | ||||
\(743\) | 8.50460 | − | 7.13621i | 0.312004 | − | 0.261802i | −0.473316 | − | 0.880893i | \(-0.656943\pi\) |
0.785320 | + | 0.619091i | \(0.212499\pi\) | |||||||
\(744\) | −11.2812 | − | 2.67791i | −0.413588 | − | 0.0981771i | ||||
\(745\) | −13.4724 | + | 4.90356i | −0.493592 | + | 0.179653i | ||||
\(746\) | −16.8651 | + | 0.0995832i | −0.617475 | + | 0.00364600i | ||||
\(747\) | 12.2797 | − | 22.3949i | 0.449291 | − | 0.819386i | ||||
\(748\) | 38.9824 | − | 0.460374i | 1.42534 | − | 0.0168330i | ||||
\(749\) | −1.50659 | + | 8.54431i | −0.0550497 | + | 0.312202i | ||||
\(750\) | 9.83176 | − | 14.5596i | 0.359005 | − | 0.531641i | ||||
\(751\) | −1.58243 | + | 4.34770i | −0.0577439 | + | 0.158650i | −0.965210 | − | 0.261474i | \(-0.915791\pi\) |
0.907467 | + | 0.420124i | \(0.138014\pi\) | |||||||
\(752\) | −13.6613 | − | 4.60995i | −0.498176 | − | 0.168108i | ||||
\(753\) | −33.9821 | − | 15.3925i | −1.23837 | − | 0.560933i | ||||
\(754\) | 29.7145 | − | 11.0143i | 1.08214 | − | 0.401118i | ||||
\(755\) | − | 12.5796i | − | 0.457817i | ||||||
\(756\) | −23.6869 | + | 25.9140i | −0.861484 | + | 0.942484i | ||||
\(757\) | − | 11.0029i | − | 0.399907i | −0.979805 | − | 0.199954i | \(-0.935921\pi\) | ||
0.979805 | − | 0.199954i | \(-0.0640792\pi\) | |||||||
\(758\) | −0.667579 | − | 1.80100i | −0.0242476 | − | 0.0654152i | ||||
\(759\) | 43.8142 | − | 31.4043i | 1.59036 | − | 1.13990i | ||||
\(760\) | 5.37591 | − | 1.04643i | 0.195005 | − | 0.0379578i | ||||
\(761\) | −3.02165 | + | 8.30192i | −0.109535 | + | 0.300944i | −0.982334 | − | 0.187135i | \(-0.940080\pi\) |
0.872799 | + | 0.488079i | \(0.162302\pi\) | |||||||
\(762\) | 0.533935 | − | 7.57811i | 0.0193424 | − | 0.274526i | ||||
\(763\) | 4.51224 | − | 25.5902i | 0.163354 | − | 0.926427i | ||||
\(764\) | −24.0122 | + | 0.283580i | −0.868732 | + | 0.0102595i | ||||
\(765\) | −7.27090 | + | 2.82938i | −0.262880 | + | 0.102296i | ||||
\(766\) | −0.248642 | − | 42.1091i | −0.00898379 | − | 1.52147i | ||||
\(767\) | −23.5326 | + | 8.56518i | −0.849714 | + | 0.309271i | ||||
\(768\) | 27.1407 | + | 5.60185i | 0.979357 | + | 0.202139i | ||||
\(769\) | 38.6343 | − | 32.4180i | 1.39319 | − | 1.16902i | 0.429158 | − | 0.903229i | \(-0.358810\pi\) |
0.964030 | − | 0.265794i | \(-0.0856342\pi\) | |||||||
\(770\) | −20.4205 | + | 3.72514i | −0.735903 | + | 0.134245i | ||||
\(771\) | 11.1563 | + | 10.9131i | 0.401785 | + | 0.393025i | ||||
\(772\) | −0.780053 | − | 0.638998i | −0.0280747 | − | 0.0229980i | ||||
\(773\) | −10.6364 | − | 18.4228i | −0.382565 | − | 0.662622i | 0.608863 | − | 0.793275i | \(-0.291626\pi\) |
−0.991428 | + | 0.130653i | \(0.958293\pi\) | |||||||
\(774\) | 21.0803 | + | 16.7073i | 0.757714 | + | 0.600532i | ||||
\(775\) | −9.06022 | − | 5.23092i | −0.325453 | − | 0.187900i | ||||
\(776\) | 40.6574 | + | 6.42865i | 1.45952 | + | 0.230775i | ||||
\(777\) | −55.2989 | + | 26.5321i | −1.98384 | + | 0.951833i | ||||
\(778\) | 5.29882 | + | 6.23969i | 0.189972 | + | 0.223704i | ||||
\(779\) | 7.35380 | − | 1.29667i | 0.263477 | − | 0.0464582i | ||||
\(780\) | 12.6614 | + | 5.55584i | 0.453350 | + | 0.198931i | ||||
\(781\) | −22.2934 | + | 26.5683i | −0.797722 | + | 0.950688i | ||||
\(782\) | −13.0383 | + | 22.8941i | −0.466247 | + | 0.818690i | ||||
\(783\) | −20.4285 | − | 8.71590i | −0.730055 | − | 0.311481i | ||||
\(784\) | 8.46255 | − | 15.4913i | 0.302234 | − | 0.553261i | ||||
\(785\) | 5.71102 | − | 6.80613i | 0.203835 | − | 0.242921i | ||||
\(786\) | 23.3561 | + | 32.1826i | 0.833084 | + | 1.14792i | ||||
\(787\) | −0.282984 | − | 1.60488i | −0.0100873 | − | 0.0572079i | 0.979349 | − | 0.202179i | \(-0.0648022\pi\) |
−0.989436 | + | 0.144971i | \(0.953691\pi\) | |||||||
\(788\) | −1.38181 | − | 7.32942i | −0.0492250 | − | 0.261100i | ||||
\(789\) | −0.819292 | + | 10.7245i | −0.0291676 | + | 0.381804i | ||||
\(790\) | −9.57568 | − | 7.93907i | −0.340687 | − | 0.282459i | ||||
\(791\) | 10.2407 | − | 17.7374i | 0.364118 | − | 0.630671i | ||||
\(792\) | 1.92448 | + | 48.3832i | 0.0683834 | + | 1.71922i | ||||
\(793\) | −6.99353 | − | 12.1131i | −0.248347 | − | 0.430150i | ||||
\(794\) | 3.71343 | − | 21.8123i | 0.131785 | − | 0.774088i | ||||
\(795\) | −10.3036 | − | 2.63948i | −0.365430 | − | 0.0936129i | ||||
\(796\) | −17.1879 | + | 49.0168i | −0.609209 | + | 1.73735i | ||||
\(797\) | 6.03133 | − | 5.06088i | 0.213641 | − | 0.179266i | −0.529687 | − | 0.848193i | \(-0.677691\pi\) |
0.743328 | + | 0.668927i | \(0.233246\pi\) | |||||||
\(798\) | −20.4182 | − | 5.10229i | −0.722797 | − | 0.180619i | ||||
\(799\) | 4.21113 | + | 11.5700i | 0.148979 | + | 0.409316i | ||||
\(800\) | 22.0148 | + | 11.8579i | 0.778339 | + | 0.419241i | ||||
\(801\) | −25.5552 | − | 8.66843i | −0.902948 | − | 0.306284i | ||||
\(802\) | −23.8765 | − | 40.7971i | −0.843110 | − | 1.44060i | ||||
\(803\) | 15.8183 | + | 2.78919i | 0.558216 | + | 0.0984285i | ||||
\(804\) | 0.630848 | − | 9.77664i | 0.0222483 | − | 0.344796i | ||||
\(805\) | 4.79788 | − | 13.1821i | 0.169103 | − | 0.464607i | ||||
\(806\) | 5.90403 | − | 16.5241i | 0.207961 | − | 0.582038i | ||||
\(807\) | 2.23109 | − | 0.219995i | 0.0785379 | − | 0.00774421i | ||||
\(808\) | 8.88675 | − | 10.9801i | 0.312635 | − | 0.386278i | ||||
\(809\) | 3.21158i | 0.112913i | 0.998405 | + | 0.0564566i | \(0.0179802\pi\) | ||||
−0.998405 | + | 0.0564566i | \(0.982020\pi\) | |||||||
\(810\) | −3.76519 | − | 8.92910i | −0.132295 | − | 0.313736i | ||||
\(811\) | 20.5556 | 0.721806 | 0.360903 | − | 0.932603i | \(-0.382469\pi\) | ||||
0.360903 | + | 0.932603i | \(0.382469\pi\) | |||||||
\(812\) | 28.4986 | + | 4.67877i | 1.00011 | + | 0.164193i | ||||
\(813\) | −0.656230 | − | 6.65516i | −0.0230150 | − | 0.233407i | ||||
\(814\) | −28.4624 | + | 79.6601i | −0.997605 | + | 2.79208i | ||||
\(815\) | 1.63974 | + | 0.596818i | 0.0574377 | + | 0.0209056i | ||||
\(816\) | −10.7383 | − | 21.0891i | −0.375917 | − | 0.738266i | ||||
\(817\) | −2.79996 | + | 15.8794i | −0.0979581 | + | 0.555548i | ||||
\(818\) | −28.3484 | + | 16.5909i | −0.991179 | + | 0.580087i | ||||
\(819\) | −35.0418 | − | 39.9394i | −1.22446 | − | 1.39560i | ||||
\(820\) | −3.89794 | − | 2.18951i | −0.136122 | − | 0.0764611i | ||||
\(821\) | −13.9182 | + | 5.06579i | −0.485747 | + | 0.176797i | −0.573272 | − | 0.819365i | \(-0.694326\pi\) |
0.0875255 | + | 0.996162i | \(0.472104\pi\) | |||||||
\(822\) | 0.291497 | + | 0.0728420i | 0.0101671 | + | 0.00254066i | ||||
\(823\) | 6.69751 | + | 7.98178i | 0.233460 | + | 0.278227i | 0.870037 | − | 0.492986i | \(-0.164095\pi\) |
−0.636577 | + | 0.771213i | \(0.719650\pi\) | |||||||
\(824\) | −10.2819 | + | 8.94263i | −0.358187 | + | 0.311531i | ||||
\(825\) | −10.8422 | + | 42.3239i | −0.377476 | + | 1.47353i | ||||
\(826\) | −22.4986 | − | 3.83028i | −0.782827 | − | 0.133272i | ||||
\(827\) | −39.8873 | + | 23.0289i | −1.38702 | + | 0.800794i | −0.992978 | − | 0.118300i | \(-0.962256\pi\) |
−0.394038 | + | 0.919094i | \(0.628922\pi\) | |||||||
\(828\) | −28.8770 | − | 15.3933i | −1.00354 | − | 0.534954i | ||||
\(829\) | 0.902728 | + | 0.521190i | 0.0313531 | + | 0.0181017i | 0.515595 | − | 0.856833i | \(-0.327571\pi\) |
−0.484242 | + | 0.874934i | \(0.660904\pi\) | |||||||
\(830\) | −7.05676 | − | 5.85067i | −0.244944 | − | 0.203080i | ||||
\(831\) | −42.4841 | − | 3.24553i | −1.47376 | − | 0.112586i | ||||
\(832\) | −12.9394 | + | 39.8942i | −0.448594 | + | 1.38308i | ||||
\(833\) | −14.8452 | + | 2.61760i | −0.514354 | + | 0.0906945i | ||||
\(834\) | −31.8279 | + | 23.0986i | −1.10211 | + | 0.799840i | ||||
\(835\) | 4.87242 | + | 4.08844i | 0.168617 | + | 0.141486i | ||||
\(836\) | −24.9646 | + | 14.8091i | −0.863420 | + | 0.512185i | ||||
\(837\) | −10.9679 | + | 5.56295i | −0.379106 | + | 0.192284i | ||||
\(838\) | 1.31081 | − | 2.30166i | 0.0452810 | − | 0.0795095i | ||||
\(839\) | 8.47456 | + | 7.11100i | 0.292574 | + | 0.245499i | 0.777246 | − | 0.629197i | \(-0.216616\pi\) |
−0.484671 | + | 0.874696i | \(0.661061\pi\) | |||||||
\(840\) | 7.52102 | + | 10.1100i | 0.259500 | + | 0.348827i | ||||
\(841\) | −1.86324 | − | 10.5670i | −0.0642498 | − | 0.364379i | ||||
\(842\) | 19.3966 | − | 16.4718i | 0.668450 | − | 0.567656i | ||||
\(843\) | −2.72836 | − | 5.68652i | −0.0939697 | − | 0.195854i | ||||
\(844\) | 10.5250 | − | 3.97217i | 0.362286 | − | 0.136728i | ||||
\(845\) | −5.51376 | + | 9.55011i | −0.189679 | + | 0.328534i | ||||
\(846\) | −14.2187 | + | 5.62993i | −0.488850 | + | 0.193561i | ||||
\(847\) | 63.0911 | − | 36.4257i | 2.16784 | − | 1.25160i | ||||
\(848\) | 4.85045 | − | 31.8961i | 0.166565 | − | 1.09531i | ||||
\(849\) | −4.44766 | + | 4.54679i | −0.152643 | + | 0.156045i | ||||
\(850\) | −3.83209 | − | 21.0068i | −0.131440 | − | 0.720526i | ||||
\(851\) | −36.7469 | − | 43.7932i | −1.25967 | − | 1.50121i | ||||
\(852\) | 20.4554 | + | 4.98345i | 0.700791 | + | 0.170730i | ||||
\(853\) | −6.84425 | − | 18.8044i | −0.234343 | − | 0.643851i | −1.00000 | 0.000602347i | \(-0.999808\pi\) | |
0.765657 | − | 0.643249i | \(-0.222414\pi\) | |||||||
\(854\) | −0.0752647 | − | 12.7466i | −0.00257550 | − | 0.436179i | ||||
\(855\) | 3.63499 | − | 4.53119i | 0.124314 | − | 0.154963i | ||||
\(856\) | 3.51995 | − | 6.35407i | 0.120310 | − | 0.217178i | ||||
\(857\) | 29.9891 | + | 5.28788i | 1.02441 | + | 0.180631i | 0.660517 | − | 0.750811i | \(-0.270337\pi\) |
0.363890 | + | 0.931442i | \(0.381448\pi\) | |||||||
\(858\) | −73.0991 | − | 5.15039i | −2.49556 | − | 0.175831i | ||||
\(859\) | −27.6630 | − | 10.0685i | −0.943851 | − | 0.343533i | −0.176165 | − | 0.984361i | \(-0.556369\pi\) |
−0.767685 | + | 0.640827i | \(0.778592\pi\) | |||||||
\(860\) | 7.32155 | − | 6.29233i | 0.249663 | − | 0.214567i | ||||
\(861\) | 10.0086 | + | 13.9637i | 0.341093 | + | 0.475882i | ||||
\(862\) | 14.1155 | + | 38.0809i | 0.480776 | + | 1.29704i | ||||
\(863\) | −4.08631 | −0.139100 | −0.0695498 | − | 0.997578i | \(-0.522156\pi\) | ||||
−0.0695498 | + | 0.997578i | \(0.522156\pi\) | |||||||
\(864\) | 25.8108 | − | 14.0642i | 0.878101 | − | 0.478475i | ||||
\(865\) | 3.49382 | 0.118794 | ||||||||
\(866\) | 3.41788 | + | 9.22078i | 0.116144 | + | 0.313335i | ||||
\(867\) | 3.81056 | − | 8.41259i | 0.129413 | − | 0.285707i | ||||
\(868\) | 12.1278 | − | 10.4229i | 0.411644 | − | 0.353777i | ||||
\(869\) | 61.9486 | + | 22.5474i | 2.10146 | + | 0.764869i | ||||
\(870\) | −4.46102 | + | 6.60621i | −0.151243 | + | 0.223971i | ||||
\(871\) | 14.6014 | + | 2.57461i | 0.494748 | + | 0.0872374i | ||||
\(872\) | −10.5423 | + | 19.0304i | −0.357006 | + | 0.644452i | ||||
\(873\) | 37.3199 | − | 22.6577i | 1.26309 | − | 0.766848i | ||||
\(874\) | −0.115827 | − | 19.6161i | −0.00391790 | − | 0.663523i | ||||
\(875\) | 8.28717 | + | 22.7688i | 0.280157 | + | 0.769726i | ||||
\(876\) | −2.73796 | − | 9.35821i | −0.0925070 | − | 0.316185i | ||||
\(877\) | −34.0441 | − | 40.5721i | −1.14959 | − | 1.37002i | −0.917697 | − | 0.397282i | \(-0.869954\pi\) |
−0.231890 | − | 0.972742i | \(-0.574491\pi\) | |||||||
\(878\) | 8.39602 | + | 46.0254i | 0.283352 | + | 1.55328i | ||||
\(879\) | 13.8615 | + | 49.5413i | 0.467536 | + | 1.67099i | ||||
\(880\) | 17.1813 | + | 2.61277i | 0.579180 | + | 0.0880763i | ||||
\(881\) | −36.3618 | + | 20.9935i | −1.22506 | + | 0.707288i | −0.965992 | − | 0.258571i | \(-0.916748\pi\) |
−0.259067 | + | 0.965859i | \(0.583415\pi\) | |||||||
\(882\) | −3.76513 | − | 18.3404i | −0.126778 | − | 0.617552i | ||||
\(883\) | 15.5284 | − | 26.8959i | 0.522571 | − | 0.905120i | −0.477084 | − | 0.878858i | \(-0.658306\pi\) |
0.999655 | − | 0.0262620i | \(-0.00836041\pi\) | |||||||
\(884\) | 33.5083 | − | 12.6461i | 1.12701 | − | 0.425335i | ||||
\(885\) | 3.55605 | − | 5.19960i | 0.119535 | − | 0.174783i | ||||
\(886\) | 18.9282 | − | 16.0740i | 0.635904 | − | 0.540017i | ||||
\(887\) | 3.83931 | + | 21.7738i | 0.128911 | + | 0.731092i | 0.978908 | + | 0.204304i | \(0.0654929\pi\) |
−0.849996 | + | 0.526789i | \(0.823396\pi\) | |||||||
\(888\) | 51.0059 | − | 5.94341i | 1.71165 | − | 0.199448i | ||||
\(889\) | 8.02628 | + | 6.73485i | 0.269193 | + | 0.225880i | ||||
\(890\) | −4.79300 | + | 8.41610i | −0.160662 | + | 0.282108i | ||||
\(891\) | 34.7144 | + | 37.8500i | 1.16298 | + | 1.26802i | ||||
\(892\) | −2.01249 | + | 1.19382i | −0.0673832 | + | 0.0399720i | ||||
\(893\) | −7.02260 | − | 5.89266i | −0.235002 | − | 0.197190i | ||||
\(894\) | −42.1285 | − | 18.7835i | −1.40899 | − | 0.628214i | ||||
\(895\) | −6.93953 | + | 1.22363i | −0.231963 | + | 0.0409013i | ||||
\(896\) | −28.2390 | + | 25.7570i | −0.943400 | + | 0.860482i | ||||
\(897\) | 27.9567 | − | 40.8778i | 0.933446 | − | 1.36487i | ||||
\(898\) | −45.2399 | − | 37.5078i | −1.50967 | − | 1.25165i | ||||
\(899\) | 8.76098 | + | 5.05815i | 0.292195 | + | 0.168699i | ||||
\(900\) | 25.9483 | − | 5.48683i | 0.864942 | − | 0.182894i | ||||
\(901\) | −23.8599 | + | 13.7755i | −0.794890 | + | 0.458930i | ||||
\(902\) | 23.3587 | + | 3.97670i | 0.777759 | + | 0.132410i | ||||
\(903\) | −35.7257 | + | 9.99591i | −1.18888 | + | 0.332643i | ||||
\(904\) | −12.9386 | + | 11.2533i | −0.430331 | + | 0.374278i | ||||
\(905\) | −5.74752 | − | 6.84962i | −0.191054 | − | 0.227689i | ||||
\(906\) | 28.1295 | − | 29.0982i | 0.934540 | − | 0.966722i | ||||
\(907\) | −17.8490 | + | 6.49651i | −0.592666 | + | 0.215713i | −0.620902 | − | 0.783888i | \(-0.713233\pi\) |
0.0282353 | + | 0.999601i | \(0.491011\pi\) | |||||||
\(908\) | 19.0832 | + | 10.7192i | 0.633298 | + | 0.355730i | ||||
\(909\) | −0.330204 | − | 14.9790i | −0.0109522 | − | 0.496821i | ||||
\(910\) | −16.4582 | + | 9.63219i | −0.545585 | + | 0.319304i | ||||
\(911\) | 1.05476 | − | 5.98186i | 0.0349458 | − | 0.198188i | −0.962337 | − | 0.271861i | \(-0.912361\pi\) |
0.997282 | + | 0.0736730i | \(0.0234721\pi\) | |||||||
\(912\) | 14.7751 | + | 9.60070i | 0.489253 | + | 0.317911i | ||||
\(913\) | 45.6528 | + | 16.6162i | 1.51089 | + | 0.549917i | ||||
\(914\) | 8.21013 | − | 22.9784i | 0.271567 | − | 0.760058i | ||||
\(915\) | 3.20487 | + | 1.45167i | 0.105950 | + | 0.0479908i | ||||
\(916\) | 11.0544 | + | 1.81486i | 0.365248 | + | 0.0599646i | ||||
\(917\) | −54.8431 | −1.81108 | ||||||||
\(918\) | −23.1454 | − | 9.71394i | −0.763912 | − | 0.320608i | ||||
\(919\) | 0.413428i | 0.0136377i | 0.999977 | + | 0.00681886i | \(0.00217053\pi\) | ||||
−0.999977 | + | 0.00681886i | \(0.997829\pi\) | |||||||
\(920\) | −7.38881 | + | 9.12928i | −0.243602 | + | 0.300983i | ||||
\(921\) | −9.33433 | − | 13.0230i | −0.307577 | − | 0.429121i | ||||
\(922\) | 7.91241 | − | 22.1451i | 0.260581 | − | 0.729312i | ||||
\(923\) | −10.8976 | + | 29.9409i | −0.358698 | + | 0.985515i | ||||
\(924\) | −55.5652 | − | 37.0461i | −1.82796 | − | 1.21873i | ||||
\(925\) | 45.6300 | + | 8.04580i | 1.50031 | + | 0.264544i | ||||
\(926\) | 16.5886 | + | 28.3444i | 0.545134 | + | 0.931456i | ||||
\(927\) | −2.19549 | + | 14.2856i | −0.0721093 | + | 0.469202i | ||||
\(928\) | −21.2877 | − | 11.4663i | −0.698802 | − | 0.376399i | ||||
\(929\) | 9.19985 | + | 25.2764i | 0.301837 | + | 0.829291i | 0.994181 | + | 0.107723i | \(0.0343561\pi\) |
−0.692344 | + | 0.721568i | \(0.743422\pi\) | |||||||
\(930\) | 1.21438 | + | 4.24349i | 0.0398210 | + | 0.139150i | ||||
\(931\) | 8.59775 | − | 7.21437i | 0.281780 | − | 0.236441i | ||||
\(932\) | 9.17696 | − | 26.1711i | 0.300601 | − | 0.857261i | ||||
\(933\) | 31.7686 | − | 32.4766i | 1.04006 | − | 1.06324i | ||||
\(934\) | −5.31909 | + | 31.2437i | −0.174046 | + | 1.02233i | ||||
\(935\) | −7.42039 | − | 12.8525i | −0.242673 | − | 0.420322i | ||||
\(936\) | 16.8639 | + | 41.1638i | 0.551213 | + | 1.34548i | ||||
\(937\) | 16.3866 | − | 28.3824i | 0.535326 | − | 0.927211i | −0.463822 | − | 0.885928i | \(-0.653522\pi\) |
0.999148 | − | 0.0412827i | \(-0.0131444\pi\) | |||||||
\(938\) | 10.4018 | + | 8.62402i | 0.339632 | + | 0.281584i | ||||
\(939\) | −31.2318 | + | 14.9849i | −1.01921 | + | 0.489012i | ||||
\(940\) | 1.01686 | + | 5.39365i | 0.0331664 | + | 0.175922i | ||||
\(941\) | −2.14333 | − | 12.1554i | −0.0698705 | − | 0.396255i | −0.999607 | − | 0.0280300i | \(-0.991077\pi\) |
0.929737 | − | 0.368225i | \(-0.120034\pi\) | |||||||
\(942\) | 28.4297 | − | 2.97290i | 0.926290 | − | 0.0968623i | ||||
\(943\) | −10.2930 | + | 12.2667i | −0.335187 | + | 0.399460i | ||||
\(944\) | 16.7686 | + | 9.16031i | 0.545772 | + | 0.298143i | ||||
\(945\) | 13.0169 | + | 3.03050i | 0.423440 | + | 0.0985822i | ||||
\(946\) | −25.3204 | + | 44.4605i | −0.823238 | + | 1.44553i | ||||
\(947\) | 6.78558 | − | 8.08674i | 0.220502 | − | 0.262784i | −0.644441 | − | 0.764654i | \(-0.722910\pi\) |
0.864943 | + | 0.501870i | \(0.167354\pi\) | |||||||
\(948\) | −4.39703 | − | 39.7765i | −0.142809 | − | 1.29188i | ||||
\(949\) | 14.5321 | − | 2.56240i | 0.471732 | − | 0.0831791i | ||||
\(950\) | 10.2913 | + | 12.1187i | 0.333894 | + | 0.393181i | ||||
\(951\) | 3.09317 | − | 40.4897i | 0.100303 | − | 1.31297i | ||||
\(952\) | 32.2389 | + | 5.09753i | 1.04487 | + | 0.165212i | ||||
\(953\) | −3.50537 | − | 2.02383i | −0.113550 | − | 0.0655581i | 0.442149 | − | 0.896941i | \(-0.354216\pi\) |
−0.555699 | + | 0.831383i | \(0.687549\pi\) | |||||||
\(954\) | −17.9313 | − | 29.1456i | −0.580547 | − | 0.943623i | ||||
\(955\) | 4.57078 | + | 7.91683i | 0.147907 | + | 0.256183i | ||||
\(956\) | 26.7975 | + | 21.9517i | 0.866692 | + | 0.709970i | ||||
\(957\) | 10.4841 | − | 40.9260i | 0.338903 | − | 1.32295i | ||||
\(958\) | −40.9867 | + | 7.47685i | −1.32422 | + | 0.241566i | ||||
\(959\) | −0.317444 | + | 0.266367i | −0.0102508 | + | 0.00860143i | ||||
\(960\) | −3.20065 | − | 10.0524i | −0.103301 | − | 0.324440i | ||||
\(961\) | −23.8668 | + | 8.68679i | −0.769896 | + | 0.280219i | ||||
\(962\) | 0.458869 | + | 77.7126i | 0.0147945 | + | 2.50555i | ||||
\(963\) | −1.50477 | − | 7.55615i | −0.0484907 | − | 0.243494i | ||||
\(964\) | 3.83846 | − | 0.0453314i | 0.123628 | − | 0.00146003i | ||||
\(965\) | −0.0666570 | + | 0.378031i | −0.00214577 | + | 0.0121692i | ||||
\(966\) | 40.5749 | − | 19.7632i | 1.30548 | − | 0.635870i | ||||
\(967\) | 5.69598 | − | 15.6496i | 0.183170 | − | 0.503256i | −0.813791 | − | 0.581158i | \(-0.802600\pi\) |
0.996961 | + | 0.0779019i | \(0.0248221\pi\) | |||||||
\(968\) | −59.8697 | + | 11.6537i | −1.92428 | + | 0.374564i | ||||
\(969\) | −1.47655 | − | 14.9745i | −0.0474337 | − | 0.481050i | ||||
\(970\) | −5.44619 | − | 14.6928i | −0.174867 | − | 0.471757i | ||||
\(971\) | − | 0.618203i | − | 0.0198391i | −0.999951 | − | 0.00991953i | \(-0.996842\pi\) | ||
0.999951 | − | 0.00991953i | \(-0.00315754\pi\) | |||||||
\(972\) | 11.2572 | − | 29.0736i | 0.361075 | − | 0.932537i | ||||
\(973\) | − | 54.2386i | − | 1.73881i | ||||||
\(974\) | 36.1389 | − | 13.3957i | 1.15797 | − | 0.429225i | ||||
\(975\) | 3.93870 | + | 39.9443i | 0.126139 | + | 1.27924i | ||||
\(976\) | −3.41219 | + | 10.1118i | −0.109222 | + | 0.323671i | ||||
\(977\) | −18.4051 | + | 50.5677i | −0.588833 | + | 1.61780i | 0.183809 | + | 0.982962i | \(0.441157\pi\) |
−0.772642 | + | 0.634842i | \(0.781065\pi\) | |||||||
\(978\) | 2.45838 | + | 5.04719i | 0.0786104 | + | 0.161391i | ||||
\(979\) | 8.91351 | − | 50.5510i | 0.284877 | − | 1.61562i | ||||
\(980\) | −6.71929 | + | 0.0793535i | −0.214640 | + | 0.00253485i | ||||
\(981\) | 4.50680 | + | 22.6307i | 0.143891 | + | 0.722542i | ||||
\(982\) | 22.0393 | − | 0.130135i | 0.703303 | − | 0.00415279i | ||||
\(983\) | −14.7088 | + | 5.35358i | −0.469139 | + | 0.170753i | −0.565762 | − | 0.824568i | \(-0.691418\pi\) |
0.0966232 | + | 0.995321i | \(0.469196\pi\) | |||||||
\(984\) | −4.12041 | − | 13.7809i | −0.131354 | − | 0.439320i | ||||
\(985\) | −2.17503 | + | 1.82507i | −0.0693023 | + | 0.0581515i | ||||
\(986\) | 3.70552 | + | 20.3130i | 0.118008 | + | 0.646896i | ||||
\(987\) | 5.23407 | − | 20.4319i | 0.166602 | − | 0.650354i | ||||
\(988\) | −16.8984 | + | 20.6287i | −0.537611 | + | 0.656286i | ||||
\(989\) | −17.2888 | − | 29.9452i | −0.549753 | − | 0.952201i | ||||
\(990\) | 15.6997 | − | 9.65894i | 0.498968 | − | 0.306981i | ||||
\(991\) | −13.5526 | − | 7.82457i | −0.430511 | − | 0.248556i | 0.269053 | − | 0.963125i | \(-0.413289\pi\) |
−0.699564 | + | 0.714570i | \(0.746623\pi\) | |||||||
\(992\) | −12.4403 | + | 4.94847i | −0.394980 | + | 0.157114i | ||||
\(993\) | 3.00232 | − | 39.3004i | 0.0952757 | − | 1.24716i | ||||
\(994\) | −22.1331 | + | 18.7957i | −0.702020 | + | 0.596164i | ||||
\(995\) | 19.4731 | − | 3.43364i | 0.617340 | − | 0.108854i | ||||
\(996\) | −3.24037 | − | 29.3132i | −0.102675 | − | 0.928823i | ||||
\(997\) | −5.45472 | + | 6.50068i | −0.172753 | + | 0.205879i | −0.845473 | − | 0.534018i | \(-0.820681\pi\) |
0.672720 | + | 0.739897i | \(0.265126\pi\) | |||||||
\(998\) | −7.75901 | − | 4.41879i | −0.245607 | − | 0.139874i | ||||
\(999\) | 37.2192 | − | 39.7653i | 1.17756 | − | 1.25812i |
(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 | 216.2.v.b.11.13 | ✓ | 192 | |
3.2 | odd | 2 | 648.2.v.b.35.20 | 192 | |||
4.3 | odd | 2 | 864.2.bh.b.335.32 | 192 | |||
8.3 | odd | 2 | inner | 216.2.v.b.11.30 | yes | 192 | |
8.5 | even | 2 | 864.2.bh.b.335.31 | 192 | |||
24.11 | even | 2 | 648.2.v.b.35.3 | 192 | |||
27.5 | odd | 18 | inner | 216.2.v.b.59.30 | yes | 192 | |
27.22 | even | 9 | 648.2.v.b.611.3 | 192 | |||
108.59 | even | 18 | 864.2.bh.b.815.31 | 192 | |||
216.5 | odd | 18 | 864.2.bh.b.815.32 | 192 | |||
216.59 | even | 18 | inner | 216.2.v.b.59.13 | yes | 192 | |
216.211 | odd | 18 | 648.2.v.b.611.20 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
216.2.v.b.11.13 | ✓ | 192 | 1.1 | even | 1 | trivial | |
216.2.v.b.11.30 | yes | 192 | 8.3 | odd | 2 | inner | |
216.2.v.b.59.13 | yes | 192 | 216.59 | even | 18 | inner | |
216.2.v.b.59.30 | yes | 192 | 27.5 | odd | 18 | inner | |
648.2.v.b.35.3 | 192 | 24.11 | even | 2 | |||
648.2.v.b.35.20 | 192 | 3.2 | odd | 2 | |||
648.2.v.b.611.3 | 192 | 27.22 | even | 9 | |||
648.2.v.b.611.20 | 192 | 216.211 | odd | 18 | |||
864.2.bh.b.335.31 | 192 | 8.5 | even | 2 | |||
864.2.bh.b.335.32 | 192 | 4.3 | odd | 2 | |||
864.2.bh.b.815.31 | 192 | 108.59 | even | 18 | |||
864.2.bh.b.815.32 | 192 | 216.5 | odd | 18 |