Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 384.11 |
Dual form | 384.2.w.a.35.3 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{21}{32}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41282 | − | 0.0626704i | −0.999018 | − | 0.0443147i | ||||
\(3\) | 1.71388 | − | 0.250263i | 0.989506 | − | 0.144489i | ||||
\(4\) | 1.99214 | + | 0.177085i | 0.996072 | + | 0.0885423i | ||||
\(5\) | 1.34559 | + | 0.719232i | 0.601766 | + | 0.321651i | 0.743997 | − | 0.668183i | \(-0.232928\pi\) |
−0.142231 | + | 0.989833i | \(0.545428\pi\) | |||||||
\(6\) | −2.43709 | + | 0.246168i | −0.994937 | + | 0.100498i | ||||
\(7\) | 2.49948 | + | 0.497176i | 0.944713 | + | 0.187915i | 0.643331 | − | 0.765588i | \(-0.277552\pi\) |
0.301382 | + | 0.953503i | \(0.402552\pi\) | |||||||
\(8\) | −2.80345 | − | 0.375038i | −0.991170 | − | 0.132596i | ||||
\(9\) | 2.87474 | − | 0.857839i | 0.958246 | − | 0.285946i | ||||
\(10\) | −1.85601 | − | 1.10048i | −0.586921 | − | 0.348002i | ||||
\(11\) | −0.433718 | + | 0.355943i | −0.130771 | + | 0.107321i | −0.697505 | − | 0.716580i | \(-0.745707\pi\) |
0.566734 | + | 0.823901i | \(0.308207\pi\) | |||||||
\(12\) | 3.45861 | − | 0.195059i | 0.998413 | − | 0.0563088i | ||||
\(13\) | 0.780211 | − | 0.417031i | 0.216392 | − | 0.115664i | −0.359640 | − | 0.933091i | \(-0.617101\pi\) |
0.576032 | + | 0.817427i | \(0.304601\pi\) | |||||||
\(14\) | −3.50016 | − | 0.859066i | −0.935457 | − | 0.229595i | ||||
\(15\) | 2.48617 | + | 0.895924i | 0.641926 | + | 0.231326i | ||||
\(16\) | 3.93728 | + | 0.705556i | 0.984321 | + | 0.176389i | ||||
\(17\) | −4.49075 | + | 1.86013i | −1.08917 | + | 0.451147i | −0.853716 | − | 0.520739i | \(-0.825656\pi\) |
−0.235450 | + | 0.971886i | \(0.575656\pi\) | |||||||
\(18\) | −4.11526 | + | 1.03181i | −0.969976 | + | 0.243201i | ||||
\(19\) | −0.781779 | + | 2.57718i | −0.179352 | + | 0.591245i | 0.820457 | + | 0.571708i | \(0.193719\pi\) |
−0.999809 | + | 0.0195368i | \(0.993781\pi\) | |||||||
\(20\) | 2.55324 | + | 1.67110i | 0.570923 | + | 0.373669i | ||||
\(21\) | 4.40821 | + | 0.226572i | 0.961951 | + | 0.0494422i | ||||
\(22\) | 0.635074 | − | 0.475704i | 0.135398 | − | 0.101420i | ||||
\(23\) | −2.97104 | − | 1.98519i | −0.619505 | − | 0.413940i | 0.205826 | − | 0.978589i | \(-0.434012\pi\) |
−0.825332 | + | 0.564648i | \(0.809012\pi\) | |||||||
\(24\) | −4.89863 | + | 0.0588324i | −0.999928 | + | 0.0120091i | ||||
\(25\) | −1.48454 | − | 2.22177i | −0.296907 | − | 0.444353i | ||||
\(26\) | −1.12844 | + | 0.540296i | −0.221305 | + | 0.105961i | ||||
\(27\) | 4.71226 | − | 2.18967i | 0.906874 | − | 0.421402i | ||||
\(28\) | 4.89127 | + | 1.43307i | 0.924364 | + | 0.270824i | ||||
\(29\) | −0.665484 | − | 0.546148i | −0.123577 | − | 0.101417i | 0.570575 | − | 0.821246i | \(-0.306720\pi\) |
−0.694152 | + | 0.719828i | \(0.744220\pi\) | |||||||
\(30\) | −3.45637 | − | 1.42159i | −0.631044 | − | 0.259546i | ||||
\(31\) | −0.843718 | + | 0.843718i | −0.151536 | + | 0.151536i | −0.778804 | − | 0.627268i | \(-0.784173\pi\) |
0.627268 | + | 0.778804i | \(0.284173\pi\) | |||||||
\(32\) | −5.51847 | − | 1.24358i | −0.975537 | − | 0.219836i | ||||
\(33\) | −0.654259 | + | 0.718586i | −0.113892 | + | 0.125090i | ||||
\(34\) | 6.46121 | − | 2.34660i | 1.10809 | − | 0.402438i | ||||
\(35\) | 3.00568 | + | 2.46670i | 0.508053 | + | 0.416948i | ||||
\(36\) | 5.87880 | − | 1.19987i | 0.979800 | − | 0.199978i | ||||
\(37\) | −1.46960 | − | 4.84463i | −0.241601 | − | 0.796453i | −0.990945 | − | 0.134271i | \(-0.957131\pi\) |
0.749343 | − | 0.662182i | \(-0.230369\pi\) | |||||||
\(38\) | 1.26603 | − | 3.59211i | 0.205377 | − | 0.582717i | ||||
\(39\) | 1.23282 | − | 0.909998i | 0.197409 | − | 0.145716i | ||||
\(40\) | −3.50256 | − | 2.52098i | −0.553803 | − | 0.398602i | ||||
\(41\) | 5.55397 | + | 3.71104i | 0.867384 | + | 0.579568i | 0.907700 | − | 0.419619i | \(-0.137836\pi\) |
−0.0403158 | + | 0.999187i | \(0.512836\pi\) | |||||||
\(42\) | −6.21383 | − | 0.596371i | −0.958815 | − | 0.0920221i | ||||
\(43\) | −0.716820 | + | 7.27799i | −0.109314 | + | 1.10988i | 0.771438 | + | 0.636305i | \(0.219538\pi\) |
−0.880752 | + | 0.473579i | \(0.842962\pi\) | |||||||
\(44\) | −0.927061 | + | 0.632285i | −0.139760 | + | 0.0953206i | ||||
\(45\) | 4.48520 | + | 0.913305i | 0.668614 | + | 0.136147i | ||||
\(46\) | 4.07315 | + | 2.99092i | 0.600553 | + | 0.440987i | ||||
\(47\) | 10.0843 | − | 4.17707i | 1.47095 | − | 0.609288i | 0.503876 | − | 0.863776i | \(-0.331907\pi\) |
0.967076 | + | 0.254488i | \(0.0819069\pi\) | |||||||
\(48\) | 6.92459 | + | 0.223879i | 0.999478 | + | 0.0323142i | ||||
\(49\) | −0.466966 | − | 0.193424i | −0.0667094 | − | 0.0276319i | ||||
\(50\) | 1.95815 | + | 3.23200i | 0.276924 | + | 0.457074i | ||||
\(51\) | −7.23106 | + | 4.31190i | −1.01255 | + | 0.603786i | ||||
\(52\) | 1.62814 | − | 0.692624i | 0.225783 | − | 0.0960496i | ||||
\(53\) | 5.81596 | − | 4.77304i | 0.798884 | − | 0.655627i | −0.143691 | − | 0.989623i | \(-0.545897\pi\) |
0.942575 | + | 0.333996i | \(0.108397\pi\) | |||||||
\(54\) | −6.79482 | + | 2.79830i | −0.924657 | + | 0.380800i | ||||
\(55\) | −0.839612 | + | 0.167009i | −0.113213 | + | 0.0225195i | ||||
\(56\) | −6.82070 | − | 2.33121i | −0.911454 | − | 0.311521i | ||||
\(57\) | −0.694899 | + | 4.61261i | −0.0920416 | + | 0.610955i | ||||
\(58\) | 0.905984 | + | 0.813318i | 0.118962 | + | 0.106794i | ||||
\(59\) | 1.73383 | + | 0.926751i | 0.225725 | + | 0.120653i | 0.580383 | − | 0.814343i | \(-0.302903\pi\) |
−0.354658 | + | 0.934996i | \(0.615403\pi\) | |||||||
\(60\) | 4.79416 | + | 2.22507i | 0.618923 | + | 0.287255i | ||||
\(61\) | −0.965330 | − | 9.80116i | −0.123598 | − | 1.25491i | −0.834258 | − | 0.551375i | \(-0.814104\pi\) |
0.710660 | − | 0.703536i | \(-0.248396\pi\) | |||||||
\(62\) | 1.24490 | − | 1.13915i | 0.158103 | − | 0.144672i | ||||
\(63\) | 7.61183 | − | 0.714896i | 0.959000 | − | 0.0900684i | ||||
\(64\) | 7.71869 | + | 2.10280i | 0.964837 | + | 0.262850i | ||||
\(65\) | 1.34979 | 0.167420 | ||||||||
\(66\) | 0.969387 | − | 0.974233i | 0.119323 | − | 0.119920i | ||||
\(67\) | −6.69552 | + | 0.659452i | −0.817988 | + | 0.0805648i | −0.498351 | − | 0.866975i | \(-0.666061\pi\) |
−0.319637 | + | 0.947540i | \(0.603561\pi\) | |||||||
\(68\) | −9.27562 | + | 2.91040i | −1.12483 | + | 0.352938i | ||||
\(69\) | −5.58882 | − | 2.65882i | −0.672815 | − | 0.320085i | ||||
\(70\) | −4.09191 | − | 3.67338i | −0.489077 | − | 0.439053i | ||||
\(71\) | −10.3915 | − | 2.06699i | −1.23324 | − | 0.245307i | −0.464908 | − | 0.885359i | \(-0.653913\pi\) |
−0.768331 | + | 0.640052i | \(0.778913\pi\) | |||||||
\(72\) | −8.38091 | + | 1.32678i | −0.987700 | + | 0.156362i | ||||
\(73\) | 0.0239781 | + | 0.120546i | 0.00280642 | + | 0.0141088i | 0.982163 | − | 0.188031i | \(-0.0602105\pi\) |
−0.979357 | + | 0.202140i | \(0.935210\pi\) | |||||||
\(74\) | 1.77268 | + | 6.93671i | 0.206069 | + | 0.806377i | ||||
\(75\) | −3.10034 | − | 3.43630i | −0.357996 | − | 0.396790i | ||||
\(76\) | −2.01379 | + | 4.99567i | −0.230998 | + | 0.573043i | ||||
\(77\) | −1.26103 | + | 0.674037i | −0.143708 | + | 0.0768136i | ||||
\(78\) | −1.79878 | + | 1.20841i | −0.203672 | + | 0.136825i | ||||
\(79\) | −3.63455 | + | 8.77457i | −0.408919 | + | 0.987217i | 0.576504 | + | 0.817094i | \(0.304416\pi\) |
−0.985423 | + | 0.170123i | \(0.945584\pi\) | |||||||
\(80\) | 4.79051 | + | 3.78121i | 0.535595 | + | 0.422752i | ||||
\(81\) | 7.52822 | − | 4.93212i | 0.836469 | − | 0.548014i | ||||
\(82\) | −7.61421 | − | 5.59112i | −0.840849 | − | 0.617436i | ||||
\(83\) | −2.47203 | + | 8.14918i | −0.271340 | + | 0.894488i | 0.710325 | + | 0.703874i | \(0.248548\pi\) |
−0.981665 | + | 0.190614i | \(0.938952\pi\) | |||||||
\(84\) | 8.74168 | + | 1.23199i | 0.953795 | + | 0.134421i | ||||
\(85\) | −7.38057 | − | 0.726922i | −0.800535 | − | 0.0788458i | ||||
\(86\) | 1.46886 | − | 10.2376i | 0.158391 | − | 1.10395i | ||||
\(87\) | −1.27724 | − | 0.769484i | −0.136934 | − | 0.0824974i | ||||
\(88\) | 1.34940 | − | 0.835209i | 0.143846 | − | 0.0890336i | ||||
\(89\) | −0.873495 | − | 1.30728i | −0.0925903 | − | 0.138571i | 0.782283 | − | 0.622924i | \(-0.214055\pi\) |
−0.874873 | + | 0.484352i | \(0.839055\pi\) | |||||||
\(90\) | −6.27956 | − | 1.57143i | −0.661924 | − | 0.165643i | ||||
\(91\) | 2.15746 | − | 0.654457i | 0.226163 | − | 0.0686057i | ||||
\(92\) | −5.56720 | − | 4.48091i | −0.580421 | − | 0.467167i | ||||
\(93\) | −1.23488 | + | 1.65718i | −0.128051 | + | 0.171841i | ||||
\(94\) | −14.5092 | + | 5.26948i | −1.49651 | + | 0.543505i | ||||
\(95\) | −2.90554 | + | 2.90554i | −0.298102 | + | 0.298102i | ||||
\(96\) | −9.76919 | − | 0.750268i | −0.997064 | − | 0.0765739i | ||||
\(97\) | −12.4636 | − | 12.4636i | −1.26549 | − | 1.26549i | −0.948392 | − | 0.317099i | \(-0.897291\pi\) |
−0.317099 | − | 0.948392i | \(-0.602709\pi\) | |||||||
\(98\) | 0.647619 | + | 0.302539i | 0.0654194 | + | 0.0305610i | ||||
\(99\) | −0.941483 | + | 1.39530i | −0.0946226 | + | 0.140233i | ||||
\(100\) | −2.56397 | − | 4.68897i | −0.256397 | − | 0.468897i | ||||
\(101\) | −4.06757 | − | 13.4090i | −0.404739 | − | 1.33424i | −0.888433 | − | 0.459007i | \(-0.848205\pi\) |
0.483694 | − | 0.875237i | \(-0.339295\pi\) | |||||||
\(102\) | 10.4864 | − | 5.63878i | 1.03831 | − | 0.558322i | ||||
\(103\) | −12.7945 | + | 8.54901i | −1.26068 | + | 0.842359i | −0.992646 | − | 0.121051i | \(-0.961373\pi\) |
−0.268032 | + | 0.963410i | \(0.586373\pi\) | |||||||
\(104\) | −2.34369 | + | 0.876519i | −0.229817 | + | 0.0859498i | ||||
\(105\) | 5.76869 | + | 3.47540i | 0.562966 | + | 0.339165i | ||||
\(106\) | −8.51606 | + | 6.37897i | −0.827153 | + | 0.619581i | ||||
\(107\) | −1.56275 | + | 15.8669i | −0.151077 | + | 1.53391i | 0.558635 | + | 0.829414i | \(0.311325\pi\) |
−0.709711 | + | 0.704493i | \(0.751175\pi\) | |||||||
\(108\) | 9.77525 | − | 3.52767i | 0.940624 | − | 0.339450i | ||||
\(109\) | 10.5598 | + | 3.20329i | 1.01145 | + | 0.306819i | 0.752160 | − | 0.658981i | \(-0.229012\pi\) |
0.259288 | + | 0.965800i | \(0.416512\pi\) | |||||||
\(110\) | 1.19669 | − | 0.183336i | 0.114100 | − | 0.0174804i | ||||
\(111\) | −3.73115 | − | 7.93531i | −0.354145 | − | 0.753186i | ||||
\(112\) | 9.49035 | + | 3.72104i | 0.896754 | + | 0.351606i | ||||
\(113\) | −16.0749 | − | 6.65843i | −1.51220 | − | 0.626372i | −0.536187 | − | 0.844099i | \(-0.680136\pi\) |
−0.976010 | + | 0.217727i | \(0.930136\pi\) | |||||||
\(114\) | 1.27084 | − | 6.47326i | 0.119025 | − | 0.606276i | ||||
\(115\) | −2.56999 | − | 4.80812i | −0.239653 | − | 0.448359i | ||||
\(116\) | −1.22903 | − | 1.20585i | −0.114112 | − | 0.111961i | ||||
\(117\) | 1.88515 | − | 1.86815i | 0.174283 | − | 0.172711i | ||||
\(118\) | −2.39152 | − | 1.41800i | −0.220157 | − | 0.130537i | ||||
\(119\) | −12.1493 | + | 2.41665i | −1.11373 | + | 0.221534i | ||||
\(120\) | −6.63385 | − | 3.44409i | −0.605585 | − | 0.314401i | ||||
\(121\) | −2.08458 | + | 10.4799i | −0.189507 | + | 0.952716i | ||||
\(122\) | 0.749599 | + | 13.9078i | 0.0678655 | + | 1.25915i | ||||
\(123\) | 10.4475 | + | 4.97031i | 0.942024 | + | 0.448158i | ||||
\(124\) | −1.83022 | + | 1.53140i | −0.164358 | + | 0.137524i | ||||
\(125\) | −1.14736 | − | 11.6493i | −0.102623 | − | 1.04195i | ||||
\(126\) | −10.7990 | + | 0.532986i | −0.962050 | + | 0.0474821i | ||||
\(127\) | − | 19.7455i | − | 1.75213i | −0.482197 | − | 0.876063i | \(-0.660161\pi\) | ||
0.482197 | − | 0.876063i | \(-0.339839\pi\) | |||||||
\(128\) | −10.7734 | − | 3.45462i | −0.952241 | − | 0.305348i | ||||
\(129\) | 0.592873 | + | 12.6530i | 0.0521995 | + | 1.11403i | ||||
\(130\) | −1.90701 | − | 0.0845916i | −0.167256 | − | 0.00741918i | ||||
\(131\) | 2.95193 | − | 0.290739i | 0.257911 | − | 0.0254020i | 0.0317647 | − | 0.999495i | \(-0.489887\pi\) |
0.226146 | + | 0.974093i | \(0.427387\pi\) | |||||||
\(132\) | −1.43063 | + | 1.31567i | −0.124520 | + | 0.114514i | ||||
\(133\) | −3.23535 | + | 6.05291i | −0.280540 | + | 0.524854i | ||||
\(134\) | 9.50093 | − | 0.512078i | 0.820755 | − | 0.0442368i | ||||
\(135\) | 7.91564 | + | 0.442811i | 0.681270 | + | 0.0381111i | ||||
\(136\) | 13.2872 | − | 3.53058i | 1.13937 | − | 0.302745i | ||||
\(137\) | 0.452460 | + | 2.27467i | 0.0386562 | + | 0.194338i | 0.995288 | − | 0.0969615i | \(-0.0309124\pi\) |
−0.956632 | + | 0.291300i | \(0.905912\pi\) | |||||||
\(138\) | 7.72939 | + | 4.10670i | 0.657969 | + | 0.349586i | ||||
\(139\) | 6.27363 | + | 7.64443i | 0.532122 | + | 0.648392i | 0.967803 | − | 0.251709i | \(-0.0809925\pi\) |
−0.435681 | + | 0.900101i | \(0.643492\pi\) | |||||||
\(140\) | 5.55094 | + | 5.44628i | 0.469140 | + | 0.460295i | ||||
\(141\) | 16.2379 | − | 9.68271i | 1.36748 | − | 0.815432i | ||||
\(142\) | 14.5518 | + | 3.57153i | 1.22116 | + | 0.299716i | ||||
\(143\) | −0.189952 | + | 0.458585i | −0.0158846 | + | 0.0383488i | ||||
\(144\) | 11.9239 | − | 1.34927i | 0.993659 | − | 0.112439i | ||||
\(145\) | −0.502660 | − | 1.21353i | −0.0417436 | − | 0.100778i | ||||
\(146\) | −0.0263222 | − | 0.171813i | −0.00217844 | − | 0.0142193i | ||||
\(147\) | −0.848728 | − | 0.214640i | −0.0700019 | − | 0.0177032i | ||||
\(148\) | −2.06975 | − | 9.91145i | −0.170133 | − | 0.814716i | ||||
\(149\) | 14.4596 | + | 1.42414i | 1.18457 | + | 0.116670i | 0.671055 | − | 0.741408i | \(-0.265841\pi\) |
0.513519 | + | 0.858078i | \(0.328341\pi\) | |||||||
\(150\) | 4.16487 | + | 5.04919i | 0.340061 | + | 0.412265i | ||||
\(151\) | −9.04069 | + | 13.5303i | −0.735721 | + | 1.10108i | 0.255233 | + | 0.966880i | \(0.417848\pi\) |
−0.990954 | + | 0.134205i | \(0.957152\pi\) | |||||||
\(152\) | 3.15822 | − | 6.93180i | 0.256165 | − | 0.562243i | ||||
\(153\) | −11.3140 | + | 9.19972i | −0.914685 | + | 0.743753i | ||||
\(154\) | 1.82386 | − | 0.873266i | 0.146971 | − | 0.0703698i | ||||
\(155\) | −1.74213 | + | 0.528468i | −0.139931 | + | 0.0424476i | ||||
\(156\) | 2.61710 | − | 1.59453i | 0.209535 | − | 0.127665i | ||||
\(157\) | −2.73098 | + | 3.32771i | −0.217956 | + | 0.265580i | −0.870498 | − | 0.492173i | \(-0.836203\pi\) |
0.652541 | + | 0.757753i | \(0.273703\pi\) | |||||||
\(158\) | 5.68488 | − | 12.1692i | 0.452265 | − | 0.968126i | ||||
\(159\) | 8.77332 | − | 9.63591i | 0.695770 | − | 0.764177i | ||||
\(160\) | −6.53117 | − | 5.64241i | −0.516335 | − | 0.446072i | ||||
\(161\) | −6.43906 | − | 6.43906i | −0.507469 | − | 0.507469i | ||||
\(162\) | −10.9452 | + | 6.49643i | −0.859933 | + | 0.510407i | ||||
\(163\) | 11.6094 | − | 14.1461i | 0.909318 | − | 1.10801i | −0.0844371 | − | 0.996429i | \(-0.526909\pi\) |
0.993756 | − | 0.111579i | \(-0.0355908\pi\) | |||||||
\(164\) | 10.4071 | + | 8.37646i | 0.812661 | + | 0.654092i | ||||
\(165\) | −1.39719 | + | 0.496357i | −0.108771 | + | 0.0386413i | ||||
\(166\) | 4.00325 | − | 11.3584i | 0.310712 | − | 0.881585i | ||||
\(167\) | 5.69668 | − | 3.80640i | 0.440822 | − | 0.294548i | −0.315283 | − | 0.948998i | \(-0.602100\pi\) |
0.756106 | + | 0.654450i | \(0.227100\pi\) | |||||||
\(168\) | −12.2732 | − | 2.28843i | −0.946901 | − | 0.176556i | ||||
\(169\) | −6.78760 | + | 10.1584i | −0.522123 | + | 0.781412i | ||||
\(170\) | 10.3819 | + | 1.48956i | 0.796254 | + | 0.114244i | ||||
\(171\) | −0.0366031 | + | 8.07935i | −0.00279911 | + | 0.617843i | ||||
\(172\) | −2.71683 | + | 14.3719i | −0.207156 | + | 1.09585i | ||||
\(173\) | −3.88482 | − | 1.17845i | −0.295358 | − | 0.0895957i | 0.139128 | − | 0.990274i | \(-0.455570\pi\) |
−0.434486 | + | 0.900679i | \(0.643070\pi\) | |||||||
\(174\) | 1.75629 | + | 1.16719i | 0.133144 | + | 0.0884845i | ||||
\(175\) | −2.60595 | − | 6.29132i | −0.196991 | − | 0.475579i | ||||
\(176\) | −1.95881 | + | 1.09544i | −0.147651 | + | 0.0825716i | ||||
\(177\) | 3.20350 | + | 1.15442i | 0.240790 | + | 0.0867717i | ||||
\(178\) | 1.15217 | + | 1.90170i | 0.0863586 | + | 0.142538i | ||||
\(179\) | 11.4584 | + | 21.4372i | 0.856442 | + | 1.60229i | 0.796937 | + | 0.604062i | \(0.206452\pi\) |
0.0595045 | + | 0.998228i | \(0.481048\pi\) | |||||||
\(180\) | 8.77344 | + | 2.61370i | 0.653933 | + | 0.194813i | ||||
\(181\) | 9.54589 | + | 11.6317i | 0.709541 | + | 0.864578i | 0.995607 | − | 0.0936321i | \(-0.0298477\pi\) |
−0.286066 | + | 0.958210i | \(0.592348\pi\) | |||||||
\(182\) | −3.08912 | + | 0.789424i | −0.228981 | + | 0.0585160i | ||||
\(183\) | −4.10732 | − | 16.5564i | −0.303622 | − | 1.22388i | ||||
\(184\) | 7.58466 | + | 6.67963i | 0.559149 | + | 0.492429i | ||||
\(185\) | 1.50693 | − | 7.57587i | 0.110792 | − | 0.556989i | ||||
\(186\) | 1.84852 | − | 2.26391i | 0.135540 | − | 0.165998i | ||||
\(187\) | 1.28562 | − | 2.40522i | 0.0940137 | − | 0.175887i | ||||
\(188\) | 20.8292 | − | 6.53555i | 1.51912 | − | 0.476654i | ||||
\(189\) | 12.8668 | − | 3.13020i | 0.935923 | − | 0.227689i | ||||
\(190\) | 4.28711 | − | 3.92293i | 0.311020 | − | 0.284599i | ||||
\(191\) | 5.04916i | 0.365344i | 0.983174 | + | 0.182672i | \(0.0584747\pi\) | ||||
−0.983174 | + | 0.182672i | \(0.941525\pi\) | |||||||
\(192\) | 13.7551 | + | 1.67224i | 0.992691 | + | 0.120683i | ||||
\(193\) | − | 25.1090i | − | 1.80739i | −0.428178 | − | 0.903694i | \(-0.640844\pi\) | ||
0.428178 | − | 0.903694i | \(-0.359156\pi\) | |||||||
\(194\) | 16.8278 | + | 18.3900i | 1.20817 | + | 1.32033i | ||||
\(195\) | 2.31336 | − | 0.337801i | 0.165663 | − | 0.0241905i | ||||
\(196\) | −0.896011 | − | 0.468020i | −0.0640008 | − | 0.0334300i | ||||
\(197\) | 4.36122 | − | 8.15927i | 0.310724 | − | 0.581324i | −0.677285 | − | 0.735721i | \(-0.736844\pi\) |
0.988009 | + | 0.154397i | \(0.0493435\pi\) | |||||||
\(198\) | 1.41759 | − | 1.91231i | 0.100744 | − | 0.135902i | ||||
\(199\) | −1.94142 | + | 9.76017i | −0.137624 | + | 0.691880i | 0.848938 | + | 0.528492i | \(0.177242\pi\) |
−0.986562 | + | 0.163388i | \(0.947758\pi\) | |||||||
\(200\) | 3.32858 | + | 6.78537i | 0.235366 | + | 0.479798i | ||||
\(201\) | −11.3103 | + | 2.80586i | −0.797764 | + | 0.197910i | ||||
\(202\) | 4.90642 | + | 19.1995i | 0.345214 | + | 1.35087i | ||||
\(203\) | −1.39183 | − | 1.69595i | −0.0976871 | − | 0.119032i | ||||
\(204\) | −15.1689 | + | 7.30941i | −1.06203 | + | 0.511761i | ||||
\(205\) | 4.80426 | + | 8.98814i | 0.335544 | + | 0.627759i | ||||
\(206\) | 18.6121 | − | 11.2764i | 1.29677 | − | 0.785665i | ||||
\(207\) | −10.2439 | − | 3.15822i | −0.712003 | − | 0.219511i | ||||
\(208\) | 3.36615 | − | 1.09149i | 0.233400 | − | 0.0756811i | ||||
\(209\) | −0.578258 | − | 1.39604i | −0.0399989 | − | 0.0965659i | ||||
\(210\) | −7.93233 | − | 5.27166i | −0.547383 | − | 0.363779i | ||||
\(211\) | −9.30425 | − | 2.82241i | −0.640531 | − | 0.194303i | −0.0467207 | − | 0.998908i | \(-0.514877\pi\) |
−0.593810 | + | 0.804605i | \(0.702377\pi\) | |||||||
\(212\) | 12.4315 | − | 8.47866i | 0.853797 | − | 0.582317i | ||||
\(213\) | −18.3270 | − | 0.941965i | −1.25574 | − | 0.0645424i | ||||
\(214\) | 3.20227 | − | 22.3191i | 0.218903 | − | 1.52570i | ||||
\(215\) | −6.19911 | + | 9.27763i | −0.422776 | + | 0.632729i | ||||
\(216\) | −14.0318 | + | 4.37136i | −0.954743 | + | 0.297433i | ||||
\(217\) | −2.52833 | + | 1.68938i | −0.171634 | + | 0.114682i | ||||
\(218\) | −14.7184 | − | 5.18747i | −0.996858 | − | 0.351340i | ||||
\(219\) | 0.0712637 | + | 0.200600i | 0.00481555 | + | 0.0135553i | ||||
\(220\) | −1.70220 | + | 0.184024i | −0.114763 | + | 0.0124069i | ||||
\(221\) | −2.72800 | + | 3.32407i | −0.183505 | + | 0.223601i | ||||
\(222\) | 4.77415 | + | 11.4450i | 0.320420 | + | 0.768140i | ||||
\(223\) | −3.63458 | − | 3.63458i | −0.243389 | − | 0.243389i | 0.574861 | − | 0.818251i | \(-0.305056\pi\) |
−0.818251 | + | 0.574861i | \(0.805056\pi\) | |||||||
\(224\) | −13.1750 | − | 5.85195i | −0.880292 | − | 0.391000i | ||||
\(225\) | −6.17357 | − | 5.11350i | −0.411571 | − | 0.340900i | ||||
\(226\) | 22.2937 | + | 10.4146i | 1.48295 | + | 0.692770i | ||||
\(227\) | −7.53889 | + | 9.18616i | −0.500374 | + | 0.609707i | −0.960546 | − | 0.278123i | \(-0.910288\pi\) |
0.460172 | + | 0.887830i | \(0.347788\pi\) | |||||||
\(228\) | −2.20116 | + | 9.06594i | −0.145775 | + | 0.600406i | ||||
\(229\) | 5.71102 | − | 1.73242i | 0.377395 | − | 0.114481i | −0.0958877 | − | 0.995392i | \(-0.530569\pi\) |
0.473283 | + | 0.880911i | \(0.343069\pi\) | |||||||
\(230\) | 3.32962 | + | 6.95409i | 0.219549 | + | 0.458539i | ||||
\(231\) | −1.99257 | + | 1.47080i | −0.131101 | + | 0.0967718i | ||||
\(232\) | 1.66083 | + | 1.78068i | 0.109039 | + | 0.116908i | ||||
\(233\) | 0.338483 | − | 0.506575i | 0.0221747 | − | 0.0331869i | −0.820217 | − | 0.572053i | \(-0.806147\pi\) |
0.842391 | + | 0.538866i | \(0.181147\pi\) | |||||||
\(234\) | −2.78047 | + | 2.52123i | −0.181765 | + | 0.164818i | ||||
\(235\) | 16.5737 | + | 1.63236i | 1.08115 | + | 0.106484i | ||||
\(236\) | 3.28992 | + | 2.15326i | 0.214156 | + | 0.140165i | ||||
\(237\) | −4.03321 | + | 15.9481i | −0.261985 | + | 1.03594i | ||||
\(238\) | 17.3163 | − | 2.65290i | 1.12245 | − | 0.171962i | ||||
\(239\) | −7.08165 | − | 17.0966i | −0.458074 | − | 1.10589i | −0.969176 | − | 0.246368i | \(-0.920763\pi\) |
0.511103 | − | 0.859520i | \(-0.329237\pi\) | |||||||
\(240\) | 9.15663 | + | 5.28164i | 0.591058 | + | 0.340928i | ||||
\(241\) | 5.24434 | − | 12.6610i | 0.337818 | − | 0.815564i | −0.660107 | − | 0.751172i | \(-0.729489\pi\) |
0.997925 | − | 0.0643927i | \(-0.0205110\pi\) | |||||||
\(242\) | 3.60192 | − | 14.6756i | 0.231540 | − | 0.943383i | ||||
\(243\) | 11.6681 | − | 10.3371i | 0.748510 | − | 0.663124i | ||||
\(244\) | −0.187443 | − | 19.6963i | −0.0119998 | − | 1.26093i | ||||
\(245\) | −0.489228 | − | 0.596126i | −0.0312556 | − | 0.0380851i | ||||
\(246\) | −14.4491 | − | 7.67693i | −0.921238 | − | 0.489463i | ||||
\(247\) | 0.464812 | + | 2.33677i | 0.0295753 | + | 0.148685i | ||||
\(248\) | 2.68175 | − | 2.04890i | 0.170291 | − | 0.130105i | ||||
\(249\) | −2.19731 | + | 14.5853i | −0.139249 | + | 0.924308i | ||||
\(250\) | 0.890947 | + | 16.5303i | 0.0563484 | + | 1.04547i | ||||
\(251\) | 13.0066 | − | 24.3336i | 0.820966 | − | 1.53592i | −0.0231322 | − | 0.999732i | \(-0.507364\pi\) |
0.844099 | − | 0.536188i | \(-0.180136\pi\) | |||||||
\(252\) | 15.2905 | − | 0.0762386i | 0.963209 | − | 0.00480258i | ||||
\(253\) | 1.99521 | − | 0.196511i | 0.125438 | − | 0.0123545i | ||||
\(254\) | −1.23746 | + | 27.8969i | −0.0776449 | + | 1.75040i | ||||
\(255\) | −12.8313 | + | 0.601228i | −0.803527 | + | 0.0376504i | ||||
\(256\) | 15.0044 | + | 5.55595i | 0.937774 | + | 0.347247i | ||||
\(257\) | 20.7954i | 1.29718i | 0.761137 | + | 0.648591i | \(0.224642\pi\) | ||||
−0.761137 | + | 0.648591i | \(0.775358\pi\) | |||||||
\(258\) | −0.0446585 | − | 17.9136i | −0.00278031 | − | 1.11525i | ||||
\(259\) | −1.26460 | − | 12.8397i | −0.0785783 | − | 0.797819i | ||||
\(260\) | 2.68897 | + | 0.239026i | 0.166763 | + | 0.0148238i | ||||
\(261\) | −2.38160 | − | 0.999155i | −0.147417 | − | 0.0618461i | ||||
\(262\) | −4.18877 | + | 0.225765i | −0.258783 | + | 0.0139478i | ||||
\(263\) | 1.93302 | − | 9.71795i | 0.119195 | − | 0.599234i | −0.874302 | − | 0.485381i | \(-0.838681\pi\) |
0.993498 | − | 0.113853i | \(-0.0363193\pi\) | |||||||
\(264\) | 2.10368 | − | 1.76915i | 0.129473 | − | 0.108884i | ||||
\(265\) | 11.2588 | − | 2.23952i | 0.691624 | − | 0.137573i | ||||
\(266\) | 4.95032 | − | 8.34894i | 0.303523 | − | 0.511906i | ||||
\(267\) | −1.82422 | − | 2.02191i | −0.111641 | − | 0.123739i | ||||
\(268\) | −13.4552 | + | 0.128049i | −0.821909 | + | 0.00782186i | ||||
\(269\) | 4.44265 | + | 8.31162i | 0.270873 | + | 0.506768i | 0.980174 | − | 0.198137i | \(-0.0634893\pi\) |
−0.709301 | + | 0.704906i | \(0.750989\pi\) | |||||||
\(270\) | −11.1557 | − | 1.12169i | −0.678912 | − | 0.0682639i | ||||
\(271\) | 10.5817 | + | 4.38306i | 0.642790 | + | 0.266252i | 0.680176 | − | 0.733049i | \(-0.261903\pi\) |
−0.0373866 | + | 0.999301i | \(0.511903\pi\) | |||||||
\(272\) | −18.9938 | + | 4.15538i | −1.15167 | + | 0.251957i | ||||
\(273\) | 3.53382 | − | 1.66159i | 0.213877 | − | 0.100564i | ||||
\(274\) | −0.496692 | − | 3.24206i | −0.0300062 | − | 0.195860i | ||||
\(275\) | 1.43469 | + | 0.435209i | 0.0865152 | + | 0.0262441i | ||||
\(276\) | −10.6629 | − | 6.28645i | −0.641831 | − | 0.378400i | ||||
\(277\) | −2.25496 | + | 22.8950i | −0.135487 | + | 1.37563i | 0.651496 | + | 0.758652i | \(0.274142\pi\) |
−0.786983 | + | 0.616974i | \(0.788358\pi\) | |||||||
\(278\) | −8.38445 | − | 11.1934i | −0.502866 | − | 0.671336i | ||||
\(279\) | −1.70169 | + | 3.14924i | −0.101878 | + | 0.188540i | ||||
\(280\) | −7.50118 | − | 8.04252i | −0.448281 | − | 0.480632i | ||||
\(281\) | −25.0265 | + | 16.7222i | −1.49296 | + | 0.997561i | −0.501782 | + | 0.864994i | \(0.667322\pi\) |
−0.991174 | + | 0.132567i | \(0.957678\pi\) | |||||||
\(282\) | −23.5482 | + | 12.6623i | −1.40227 | + | 0.754031i | ||||
\(283\) | −6.32219 | − | 20.8415i | −0.375815 | − | 1.23890i | −0.917304 | − | 0.398188i | \(-0.869639\pi\) |
0.541488 | − | 0.840708i | \(-0.317861\pi\) | |||||||
\(284\) | −20.3353 | − | 5.95791i | −1.20668 | − | 0.353537i | ||||
\(285\) | −4.25259 | + | 5.70689i | −0.251902 | + | 0.338047i | ||||
\(286\) | 0.297108 | − | 0.635995i | 0.0175684 | − | 0.0376072i | ||||
\(287\) | 12.0370 | + | 12.0370i | 0.710520 | + | 0.710520i | ||||
\(288\) | −16.9309 | + | 1.15900i | −0.997665 | + | 0.0682948i | ||||
\(289\) | 4.68592 | − | 4.68592i | 0.275642 | − | 0.275642i | ||||
\(290\) | 0.634118 | + | 1.74600i | 0.0372367 | + | 0.102529i | ||||
\(291\) | −24.4803 | − | 18.2419i | −1.43506 | − | 1.06936i | ||||
\(292\) | 0.0264210 | + | 0.244391i | 0.00154617 | + | 0.0143019i | ||||
\(293\) | −8.16714 | + | 2.47748i | −0.477129 | + | 0.144736i | −0.519684 | − | 0.854359i | \(-0.673950\pi\) |
0.0425546 | + | 0.999094i | \(0.486450\pi\) | |||||||
\(294\) | 1.18565 | + | 0.356438i | 0.0691486 | + | 0.0207879i | ||||
\(295\) | 1.66647 | + | 2.49405i | 0.0970257 | + | 0.145209i | ||||
\(296\) | 2.30304 | + | 14.1329i | 0.133862 | + | 0.821455i | ||||
\(297\) | −1.26439 | + | 2.62699i | −0.0733674 | + | 0.152434i | ||||
\(298\) | −20.3396 | − | 2.91825i | −1.17824 | − | 0.169050i | ||||
\(299\) | −3.14593 | − | 0.309847i | −0.181934 | − | 0.0179189i | ||||
\(300\) | −5.56780 | − | 7.39464i | −0.321457 | − | 0.426930i | ||||
\(301\) | −5.41012 | + | 17.8348i | −0.311834 | + | 1.02798i | ||||
\(302\) | 13.6209 | − | 18.5494i | 0.783792 | − | 1.06740i | ||||
\(303\) | −10.3271 | − | 21.9634i | −0.593276 | − | 1.26176i | ||||
\(304\) | −4.89643 | + | 9.59549i | −0.280829 | + | 0.550339i | ||||
\(305\) | 5.75038 | − | 13.8826i | 0.329266 | − | 0.794917i | ||||
\(306\) | 16.5613 | − | 12.2885i | 0.946745 | − | 0.702489i | ||||
\(307\) | 12.8408 | − | 6.86357i | 0.732865 | − | 0.391725i | −0.0623479 | − | 0.998054i | \(-0.519859\pi\) |
0.795213 | + | 0.606330i | \(0.207359\pi\) | |||||||
\(308\) | −2.63152 | + | 1.11947i | −0.149945 | + | 0.0637877i | ||||
\(309\) | −19.7887 | + | 17.8539i | −1.12574 | + | 1.01567i | ||||
\(310\) | 2.49444 | − | 0.637453i | 0.141675 | − | 0.0362049i | ||||
\(311\) | −1.01727 | − | 5.11416i | −0.0576841 | − | 0.289998i | 0.941166 | − | 0.337945i | \(-0.109732\pi\) |
−0.998850 | + | 0.0479477i | \(0.984732\pi\) | |||||||
\(312\) | −3.79743 | + | 2.08878i | −0.214987 | + | 0.118254i | ||||
\(313\) | −13.8805 | − | 2.76100i | −0.784570 | − | 0.156061i | −0.213479 | − | 0.976948i | \(-0.568480\pi\) |
−0.571091 | + | 0.820887i | \(0.693480\pi\) | |||||||
\(314\) | 4.06695 | − | 4.53032i | 0.229511 | − | 0.255661i | ||||
\(315\) | 10.7566 | + | 4.51272i | 0.606064 | + | 0.254263i | ||||
\(316\) | −8.79439 | + | 16.8366i | −0.494723 | + | 0.947133i | ||||
\(317\) | 25.7074 | − | 2.53196i | 1.44387 | − | 0.142209i | 0.654471 | − | 0.756087i | \(-0.272891\pi\) |
0.789401 | + | 0.613878i | \(0.210391\pi\) | |||||||
\(318\) | −12.9990 | + | 13.0640i | −0.728950 | + | 0.732594i | ||||
\(319\) | 0.483030 | 0.0270445 | ||||||||
\(320\) | 8.87379 | + | 8.38104i | 0.496060 | + | 0.468514i | ||||
\(321\) | 1.29253 | + | 27.5849i | 0.0721420 | + | 1.53964i | ||||
\(322\) | 8.69372 | + | 9.50080i | 0.484482 | + | 0.529459i | ||||
\(323\) | −1.28311 | − | 13.0277i | −0.0713943 | − | 0.724879i | ||||
\(324\) | 15.8707 | − | 8.49237i | 0.881706 | − | 0.471798i | ||||
\(325\) | −2.08480 | − | 1.11435i | −0.115644 | − | 0.0618129i | ||||
\(326\) | −17.2886 | + | 19.2584i | −0.957526 | + | 1.06662i | ||||
\(327\) | 18.8999 | + | 2.84730i | 1.04517 | + | 0.157456i | ||||
\(328\) | −14.1785 | − | 12.4867i | −0.782877 | − | 0.689462i | ||||
\(329\) | 27.2823 | − | 5.42679i | 1.50412 | − | 0.299188i | ||||
\(330\) | 2.00510 | − | 0.613702i | 0.110377 | − | 0.0337832i | ||||
\(331\) | 1.77728 | − | 1.45858i | 0.0976882 | − | 0.0801706i | −0.584281 | − | 0.811551i | \(-0.698624\pi\) |
0.681970 | + | 0.731380i | \(0.261124\pi\) | |||||||
\(332\) | −6.36773 | + | 15.7966i | −0.349474 | + | 0.866950i | ||||
\(333\) | −8.38064 | − | 12.6664i | −0.459256 | − | 0.694112i | ||||
\(334\) | −8.28695 | + | 5.02076i | −0.453442 | + | 0.274724i | ||||
\(335\) | −9.48372 | − | 3.92829i | −0.518151 | − | 0.214625i | ||||
\(336\) | 17.1965 | + | 4.00232i | 0.938147 | + | 0.218345i | ||||
\(337\) | −27.2424 | + | 11.2842i | −1.48399 | + | 0.614688i | −0.969999 | − | 0.243109i | \(-0.921833\pi\) |
−0.513989 | + | 0.857797i | \(0.671833\pi\) | |||||||
\(338\) | 10.2263 | − | 13.9266i | 0.556238 | − | 0.757507i | ||||
\(339\) | −29.2167 | − | 7.38877i | −1.58683 | − | 0.401303i | ||||
\(340\) | −14.5744 | − | 2.75512i | −0.790409 | − | 0.149417i | ||||
\(341\) | 0.0656200 | − | 0.666251i | 0.00355352 | − | 0.0360795i | ||||
\(342\) | 0.558050 | − | 11.4124i | 0.0301759 | − | 0.617112i | ||||
\(343\) | −15.9037 | − | 10.6265i | −0.858718 | − | 0.573777i | ||||
\(344\) | 4.73909 | − | 20.1347i | 0.255515 | − | 1.08559i | ||||
\(345\) | −5.60794 | − | 7.59734i | −0.301921 | − | 0.409027i | ||||
\(346\) | 5.41472 | + | 1.90840i | 0.291097 | + | 0.102596i | ||||
\(347\) | 0.818961 | + | 2.69975i | 0.0439641 | + | 0.144930i | 0.976175 | − | 0.216986i | \(-0.0696226\pi\) |
−0.932211 | + | 0.361916i | \(0.882123\pi\) | |||||||
\(348\) | −2.40818 | − | 1.75910i | −0.129092 | − | 0.0942978i | ||||
\(349\) | 22.4300 | + | 18.4079i | 1.20065 | + | 0.985350i | 0.999984 | + | 0.00569048i | \(0.00181135\pi\) |
0.200668 | + | 0.979659i | \(0.435689\pi\) | |||||||
\(350\) | 3.28747 | + | 9.05185i | 0.175723 | + | 0.483842i | ||||
\(351\) | 2.76339 | − | 3.67356i | 0.147499 | − | 0.196080i | ||||
\(352\) | 2.83610 | − | 1.42490i | 0.151165 | − | 0.0759474i | ||||
\(353\) | 6.68582 | − | 6.68582i | 0.355851 | − | 0.355851i | −0.506430 | − | 0.862281i | \(-0.669035\pi\) |
0.862281 | + | 0.506430i | \(0.169035\pi\) | |||||||
\(354\) | −4.45363 | − | 1.83176i | −0.236708 | − | 0.0973569i | ||||
\(355\) | −12.4960 | − | 10.2552i | −0.663218 | − | 0.544289i | ||||
\(356\) | −1.50863 | − | 2.75897i | −0.0799572 | − | 0.146225i | ||||
\(357\) | −20.2176 | + | 7.18236i | −1.07003 | + | 0.380131i | ||||
\(358\) | −14.8452 | − | 31.0051i | −0.784596 | − | 1.63867i | ||||
\(359\) | 19.8156 | + | 29.6562i | 1.04583 | + | 1.56519i | 0.803778 | + | 0.594929i | \(0.202820\pi\) |
0.242050 | + | 0.970264i | \(0.422180\pi\) | |||||||
\(360\) | −12.2315 | − | 4.24253i | −0.644658 | − | 0.223601i | ||||
\(361\) | 9.76725 | + | 6.52627i | 0.514066 | + | 0.343488i | ||||
\(362\) | −12.7577 | − | 17.0318i | −0.670530 | − | 0.895172i | ||||
\(363\) | −0.949980 | + | 18.4829i | −0.0498610 | + | 0.970101i | ||||
\(364\) | 4.41386 | − | 0.921721i | 0.231349 | − | 0.0483113i | ||||
\(365\) | −0.0544359 | + | 0.179451i | −0.00284931 | + | 0.00939291i | ||||
\(366\) | 4.76533 | + | 23.6487i | 0.249088 | + | 1.23614i | ||||
\(367\) | 17.0060 | − | 7.04413i | 0.887708 | − | 0.367701i | 0.108227 | − | 0.994126i | \(-0.465483\pi\) |
0.779481 | + | 0.626426i | \(0.215483\pi\) | |||||||
\(368\) | −10.2972 | − | 9.91248i | −0.536777 | − | 0.516724i | ||||
\(369\) | 19.1497 | + | 5.90386i | 0.996893 | + | 0.307343i | ||||
\(370\) | −2.60382 | + | 10.6089i | −0.135366 | + | 0.551532i | ||||
\(371\) | 16.9099 | − | 9.03853i | 0.877918 | − | 0.469257i | ||||
\(372\) | −2.75351 | + | 3.08266i | −0.142763 | + | 0.159829i | ||||
\(373\) | −8.96594 | + | 7.35816i | −0.464239 | + | 0.380991i | −0.837236 | − | 0.546842i | \(-0.815830\pi\) |
0.372997 | + | 0.927832i | \(0.378330\pi\) | |||||||
\(374\) | −1.96709 | + | 3.31759i | −0.101716 | + | 0.171548i | ||||
\(375\) | −4.88182 | − | 19.6783i | −0.252096 | − | 1.01618i | ||||
\(376\) | −29.8375 | + | 7.92821i | −1.53875 | + | 0.408866i | ||||
\(377\) | −0.746978 | − | 0.148583i | −0.0384713 | − | 0.00765243i | ||||
\(378\) | −18.3747 | + | 3.61606i | −0.945094 | + | 0.185990i | ||||
\(379\) | 17.5795 | + | 9.39644i | 0.902999 | + | 0.482663i | 0.856436 | − | 0.516253i | \(-0.172673\pi\) |
0.0465622 | + | 0.998915i | \(0.485173\pi\) | |||||||
\(380\) | −6.30279 | + | 5.27374i | −0.323326 | + | 0.270537i | ||||
\(381\) | −4.94156 | − | 33.8412i | −0.253164 | − | 1.73374i | ||||
\(382\) | 0.316433 | − | 7.13357i | 0.0161901 | − | 0.364985i | ||||
\(383\) | 18.8238 | 0.961851 | 0.480925 | − | 0.876762i | \(-0.340301\pi\) | ||||
0.480925 | + | 0.876762i | \(0.340301\pi\) | |||||||
\(384\) | −19.3288 | − | 3.22462i | −0.986368 | − | 0.164555i | ||||
\(385\) | −2.18162 | −0.111186 | ||||||||
\(386\) | −1.57359 | + | 35.4747i | −0.0800938 | + | 1.80561i | ||||
\(387\) | 4.18268 | + | 21.5372i | 0.212618 | + | 1.09480i | ||||
\(388\) | −22.6223 | − | 27.0365i | −1.14847 | − | 1.37257i | ||||
\(389\) | −1.91979 | − | 1.02615i | −0.0973373 | − | 0.0520279i | 0.422010 | − | 0.906591i | \(-0.361325\pi\) |
−0.519347 | + | 0.854563i | \(0.673825\pi\) | |||||||
\(390\) | −3.28955 | + | 0.332275i | −0.166573 | + | 0.0168254i | ||||
\(391\) | 17.0349 | + | 3.38845i | 0.861493 | + | 0.171362i | ||||
\(392\) | 1.23658 | + | 0.717384i | 0.0624565 | + | 0.0362334i | ||||
\(393\) | 4.98647 | − | 1.23705i | 0.251534 | − | 0.0624008i | ||||
\(394\) | −6.67298 | + | 11.2543i | −0.336180 | + | 0.566983i | ||||
\(395\) | −11.2016 | + | 9.19289i | −0.563612 | + | 0.462544i | ||||
\(396\) | −2.12266 | + | 2.61292i | −0.106668 | + | 0.131304i | ||||
\(397\) | 14.4240 | − | 7.70979i | 0.723920 | − | 0.386943i | −0.0679049 | − | 0.997692i | \(-0.521631\pi\) |
0.791824 | + | 0.610749i | \(0.209131\pi\) | |||||||
\(398\) | 3.35456 | − | 13.6677i | 0.168149 | − | 0.685102i | ||||
\(399\) | −4.03016 | + | 11.1836i | −0.201761 | + | 0.559881i | ||||
\(400\) | −4.27746 | − | 9.79514i | −0.213873 | − | 0.489757i | ||||
\(401\) | 22.7017 | − | 9.40337i | 1.13367 | − | 0.469582i | 0.264644 | − | 0.964346i | \(-0.414746\pi\) |
0.869027 | + | 0.494765i | \(0.164746\pi\) | |||||||
\(402\) | 16.1553 | − | 3.25537i | 0.805751 | − | 0.162363i | ||||
\(403\) | −0.306421 | + | 1.01013i | −0.0152639 | + | 0.0503184i | ||||
\(404\) | −5.72867 | − | 27.4330i | −0.285012 | − | 1.36484i | ||||
\(405\) | 13.6772 | − | 1.22207i | 0.679628 | − | 0.0607251i | ||||
\(406\) | 1.86012 | + | 2.48330i | 0.0923163 | + | 0.123244i | ||||
\(407\) | 2.36181 | + | 1.57811i | 0.117070 | + | 0.0782239i | ||||
\(408\) | 21.8891 | − | 9.37627i | 1.08367 | − | 0.464195i | ||||
\(409\) | 11.5179 | + | 17.2378i | 0.569524 | + | 0.852352i | 0.998705 | − | 0.0508658i | \(-0.0161981\pi\) |
−0.429182 | + | 0.903218i | \(0.641198\pi\) | |||||||
\(410\) | −6.22428 | − | 12.9997i | −0.307395 | − | 0.642012i | ||||
\(411\) | 1.34473 | + | 3.78526i | 0.0663304 | + | 0.186713i | ||||
\(412\) | −27.0024 | + | 14.7652i | −1.33031 | + | 0.727427i | ||||
\(413\) | 3.87290 | + | 3.17841i | 0.190573 | + | 0.156399i | ||||
\(414\) | 14.2750 | + | 5.10400i | 0.701576 | + | 0.250848i | ||||
\(415\) | −9.18748 | + | 9.18748i | −0.450996 | + | 0.450996i | ||||
\(416\) | −4.82418 | + | 1.33112i | −0.236525 | + | 0.0652636i | ||||
\(417\) | 12.6653 | + | 11.5316i | 0.620224 | + | 0.564703i | ||||
\(418\) | 0.729486 | + | 2.00859i | 0.0356803 | + | 0.0982436i | ||||
\(419\) | 2.13175 | + | 1.74948i | 0.104143 | + | 0.0854679i | 0.685024 | − | 0.728521i | \(-0.259792\pi\) |
−0.580881 | + | 0.813989i | \(0.697292\pi\) | |||||||
\(420\) | 10.8766 | + | 7.94505i | 0.530725 | + | 0.387679i | ||||
\(421\) | −2.39602 | − | 7.89863i | −0.116775 | − | 0.384955i | 0.878996 | − | 0.476830i | \(-0.158214\pi\) |
−0.995771 | + | 0.0918743i | \(0.970714\pi\) | |||||||
\(422\) | 12.9684 | + | 4.57068i | 0.631291 | + | 0.222497i | ||||
\(423\) | 25.4066 | − | 20.6587i | 1.23531 | − | 1.00446i | ||||
\(424\) | −18.0948 | + | 11.1998i | −0.878763 | + | 0.543909i | ||||
\(425\) | 10.7994 | + | 7.21596i | 0.523850 | + | 0.350025i | ||||
\(426\) | 25.8337 | + | 2.47939i | 1.25165 | + | 0.120127i | ||||
\(427\) | 2.46009 | − | 24.9777i | 0.119052 | − | 1.20876i | ||||
\(428\) | −5.92300 | + | 31.3323i | −0.286299 | + | 1.51451i | ||||
\(429\) | −0.210787 | + | 0.833495i | −0.0101769 | + | 0.0402415i | ||||
\(430\) | 9.33969 | − | 12.7192i | 0.450400 | − | 0.613372i | ||||
\(431\) | 12.5285 | − | 5.18949i | 0.603478 | − | 0.249969i | −0.0599592 | − | 0.998201i | \(-0.519097\pi\) |
0.663437 | + | 0.748232i | \(0.269097\pi\) | |||||||
\(432\) | 20.0984 | − | 5.29659i | 0.966985 | − | 0.254832i | ||||
\(433\) | 17.9633 | + | 7.44064i | 0.863261 | + | 0.357574i | 0.769982 | − | 0.638066i | \(-0.220265\pi\) |
0.0932790 | + | 0.995640i | \(0.470265\pi\) | |||||||
\(434\) | 3.67796 | − | 2.22834i | 0.176548 | − | 0.106964i | ||||
\(435\) | −1.16520 | − | 1.95404i | −0.0558670 | − | 0.0936890i | ||||
\(436\) | 20.4695 | + | 8.25140i | 0.980309 | + | 0.395170i | ||||
\(437\) | 7.43888 | − | 6.10493i | 0.355850 | − | 0.292039i | ||||
\(438\) | −0.0881114 | − | 0.287879i | −0.00421012 | − | 0.0137554i | ||||
\(439\) | 1.09229 | − | 0.217271i | 0.0521324 | − | 0.0103698i | −0.168955 | − | 0.985624i | \(-0.554039\pi\) |
0.221088 | + | 0.975254i | \(0.429039\pi\) | |||||||
\(440\) | 2.41645 | − | 0.153316i | 0.115200 | − | 0.00730906i | ||||
\(441\) | −1.50833 | − | 0.155460i | −0.0718253 | − | 0.00740287i | ||||
\(442\) | 4.06250 | − | 4.52537i | 0.193234 | − | 0.215250i | ||||
\(443\) | 5.62228 | + | 3.00517i | 0.267123 | + | 0.142780i | 0.599521 | − | 0.800359i | \(-0.295358\pi\) |
−0.332398 | + | 0.943139i | \(0.607858\pi\) | |||||||
\(444\) | −6.02777 | − | 16.4690i | −0.286065 | − | 0.781585i | ||||
\(445\) | −0.235129 | − | 2.38730i | −0.0111462 | − | 0.113169i | ||||
\(446\) | 4.90724 | + | 5.36280i | 0.232365 | + | 0.253936i | ||||
\(447\) | 25.1383 | − | 1.17789i | 1.18900 | − | 0.0557124i | ||||
\(448\) | 18.2472 | + | 9.09345i | 0.862100 | + | 0.429625i | ||||
\(449\) | −6.59316 | −0.311150 | −0.155575 | − | 0.987824i | \(-0.549723\pi\) | ||||
−0.155575 | + | 0.987824i | \(0.549723\pi\) | |||||||
\(450\) | 8.40170 | + | 7.61137i | 0.396060 | + | 0.358804i | ||||
\(451\) | −3.72978 | + | 0.367351i | −0.175628 | + | 0.0172979i | ||||
\(452\) | −30.8444 | − | 16.1112i | −1.45080 | − | 0.757806i | ||||
\(453\) | −12.1085 | + | 25.4519i | −0.568906 | + | 1.19583i | ||||
\(454\) | 11.2268 | − | 12.5060i | 0.526901 | − | 0.586934i | ||||
\(455\) | 3.37376 | + | 0.671082i | 0.158164 | + | 0.0314608i | ||||
\(456\) | 3.67802 | − | 12.6706i | 0.172239 | − | 0.593357i | ||||
\(457\) | −2.72210 | − | 13.6849i | −0.127334 | − | 0.640153i | −0.990754 | − | 0.135668i | \(-0.956682\pi\) |
0.863420 | − | 0.504486i | \(-0.168318\pi\) | |||||||
\(458\) | −8.17724 | + | 2.08969i | −0.382097 | + | 0.0976449i | ||||
\(459\) | −17.0885 | + | 18.5987i | −0.797622 | + | 0.868111i | ||||
\(460\) | −4.26836 | − | 10.0336i | −0.199013 | − | 0.467818i | ||||
\(461\) | −29.4086 | + | 15.7192i | −1.36970 | + | 0.732117i | −0.981859 | − | 0.189611i | \(-0.939277\pi\) |
−0.387836 | + | 0.921728i | \(0.626777\pi\) | |||||||
\(462\) | 2.90732 | − | 1.95311i | 0.135261 | − | 0.0908671i | ||||
\(463\) | 1.62112 | − | 3.91374i | 0.0753400 | − | 0.181887i | −0.881723 | − | 0.471768i | \(-0.843616\pi\) |
0.957063 | + | 0.289881i | \(0.0936159\pi\) | |||||||
\(464\) | −2.23486 | − | 2.61988i | −0.103751 | − | 0.121625i | ||||
\(465\) | −2.85353 | + | 1.34172i | −0.132329 | + | 0.0622207i | ||||
\(466\) | −0.509964 | + | 0.694489i | −0.0236236 | + | 0.0321716i | ||||
\(467\) | −0.911542 | + | 3.00495i | −0.0421811 | + | 0.139053i | −0.975502 | − | 0.219991i | \(-0.929397\pi\) |
0.933321 | + | 0.359044i | \(0.116897\pi\) | |||||||
\(468\) | 4.08632 | − | 3.38780i | 0.188890 | − | 0.156601i | ||||
\(469\) | −17.0632 | − | 1.68057i | −0.787904 | − | 0.0776017i | ||||
\(470\) | −23.3134 | − | 3.34492i | −1.07537 | − | 0.154290i | ||||
\(471\) | −3.84776 | + | 6.38675i | −0.177295 | + | 0.294286i | ||||
\(472\) | −4.51314 | − | 3.24835i | −0.207734 | − | 0.149518i | ||||
\(473\) | −2.27965 | − | 3.41174i | −0.104819 | − | 0.156872i | ||||
\(474\) | 6.69769 | − | 22.2791i | 0.307635 | − | 1.02331i | ||||
\(475\) | 6.88646 | − | 2.08899i | 0.315973 | − | 0.0958492i | ||||
\(476\) | −24.6312 | + | 2.66286i | −1.12897 | + | 0.122052i | ||||
\(477\) | 12.6249 | − | 18.7104i | 0.578053 | − | 0.856690i | ||||
\(478\) | 8.93367 | + | 24.5983i | 0.408617 | + | 1.12510i | ||||
\(479\) | −25.5302 | + | 25.5302i | −1.16650 | + | 1.16650i | −0.183482 | + | 0.983023i | \(0.558737\pi\) |
−0.983023 | + | 0.183482i | \(0.941263\pi\) | |||||||
\(480\) | −12.6057 | − | 8.03587i | −0.575369 | − | 0.366786i | ||||
\(481\) | −3.16696 | − | 3.16696i | −0.144401 | − | 0.144401i | ||||
\(482\) | −8.20280 | + | 17.5591i | −0.373627 | + | 0.799793i | ||||
\(483\) | −12.6472 | − | 9.42429i | −0.575468 | − | 0.428820i | ||||
\(484\) | −6.00861 | + | 20.5083i | −0.273118 | + | 0.932195i | ||||
\(485\) | −7.80669 | − | 25.7352i | −0.354484 | − | 1.16858i | ||||
\(486\) | −17.1328 | + | 13.8732i | −0.777160 | + | 0.629303i | ||||
\(487\) | 0.813851 | − | 0.543798i | 0.0368791 | − | 0.0246418i | −0.536994 | − | 0.843586i | \(-0.680440\pi\) |
0.573873 | + | 0.818944i | \(0.305440\pi\) | |||||||
\(488\) | −0.969549 | + | 27.8391i | −0.0438894 | + | 1.26022i | ||||
\(489\) | 16.3568 | − | 27.1500i | 0.739681 | − | 1.22777i | ||||
\(490\) | 0.653833 | + | 0.872881i | 0.0295372 | + | 0.0394327i | ||||
\(491\) | −0.493358 | + | 5.00915i | −0.0222650 | + | 0.226060i | 0.977613 | + | 0.210413i | \(0.0674808\pi\) |
−0.999878 | + | 0.0156470i | \(0.995019\pi\) | |||||||
\(492\) | 19.9329 | + | 11.7517i | 0.898643 | + | 0.529807i | ||||
\(493\) | 4.00442 | + | 1.21473i | 0.180350 | + | 0.0547086i | ||||
\(494\) | −0.510252 | − | 3.33057i | −0.0229573 | − | 0.149850i | ||||
\(495\) | −2.27040 | + | 1.20036i | −0.102047 | + | 0.0539521i | ||||
\(496\) | −3.91725 | + | 2.72667i | −0.175890 | + | 0.122431i | ||||
\(497\) | −24.9455 | − | 10.3328i | −1.11896 | − | 0.463488i | ||||
\(498\) | 4.01848 | − | 20.4688i | 0.180072 | − | 0.917229i | ||||
\(499\) | 6.64127 | + | 12.4249i | 0.297304 | + | 0.556217i | 0.985575 | − | 0.169236i | \(-0.0541301\pi\) |
−0.688271 | + | 0.725453i | \(0.741630\pi\) | |||||||
\(500\) | −0.222789 | − | 23.4103i | −0.00996341 | − | 1.04694i | ||||
\(501\) | 8.81079 | − | 7.94936i | 0.393637 | − | 0.355151i | ||||
\(502\) | −19.9010 | + | 33.5639i | −0.888224 | + | 1.49803i | ||||
\(503\) | −13.5498 | + | 2.69522i | −0.604156 | + | 0.120174i | −0.487684 | − | 0.873020i | \(-0.662158\pi\) |
−0.116471 | + | 0.993194i | \(0.537158\pi\) | |||||||
\(504\) | −21.6075 | − | 0.850548i | −0.962475 | − | 0.0378864i | ||||
\(505\) | 4.17090 | − | 20.9685i | 0.185603 | − | 0.933087i | ||||
\(506\) | −2.83120 | + | 0.152595i | −0.125862 | + | 0.00678367i | ||||
\(507\) | −9.09084 | + | 19.1088i | −0.403738 | + | 0.848654i | ||||
\(508\) | 3.49661 | − | 39.3358i | 0.155137 | − | 1.74524i | ||||
\(509\) | −0.555034 | − | 5.63536i | −0.0246015 | − | 0.249783i | −0.999618 | − | 0.0276492i | \(-0.991198\pi\) |
0.975016 | − | 0.222134i | \(-0.0713021\pi\) | |||||||
\(510\) | 18.1660 | − | 0.0452879i | 0.804406 | − | 0.00200538i | ||||
\(511\) | 0.313223i | 0.0138562i | ||||||||
\(512\) | −20.8504 | − | 8.78991i | −0.921464 | − | 0.388463i | ||||
\(513\) | 1.95923 | + | 13.8562i | 0.0865021 | + | 0.611764i | ||||
\(514\) | 1.30326 | − | 29.3803i | 0.0574842 | − | 1.29591i | ||||
\(515\) | −23.3649 | + | 2.30124i | −1.02958 | + | 0.101405i | ||||
\(516\) | −1.05956 | + | 25.3115i | −0.0466444 | + | 1.11428i | ||||
\(517\) | −2.88696 | + | 5.40112i | −0.126968 | + | 0.237541i | ||||
\(518\) | 0.981988 | + | 18.2195i | 0.0431461 | + | 0.800518i | ||||
\(519\) | −6.95302 | − | 1.04749i | −0.305204 | − | 0.0459795i | ||||
\(520\) | −3.78406 | − | 0.506221i | −0.165942 | − | 0.0221992i | ||||
\(521\) | −7.06155 | − | 35.5008i | −0.309372 | − | 1.55532i | −0.752336 | − | 0.658780i | \(-0.771073\pi\) |
0.442964 | − | 0.896539i | \(-0.353927\pi\) | |||||||
\(522\) | 3.30216 | + | 1.56089i | 0.144532 | + | 0.0683181i | ||||
\(523\) | 11.9049 | + | 14.5062i | 0.520567 | + | 0.634313i | 0.965235 | − | 0.261383i | \(-0.0841784\pi\) |
−0.444668 | + | 0.895695i | \(0.646678\pi\) | |||||||
\(524\) | 5.93215 | − | 0.0564544i | 0.259147 | − | 0.00246622i | ||||
\(525\) | −6.04076 | − | 10.1304i | −0.263640 | − | 0.442126i | ||||
\(526\) | −3.34005 | + | 13.6086i | −0.145633 | + | 0.593364i | ||||
\(527\) | 2.21950 | − | 5.35835i | 0.0966829 | − | 0.233413i | ||||
\(528\) | −3.08300 | + | 2.36766i | −0.134171 | + | 0.103039i | ||||
\(529\) | −3.91559 | − | 9.45307i | −0.170243 | − | 0.411003i | ||||
\(530\) | −16.0471 | + | 2.45845i | −0.697041 | + | 0.106788i | ||||
\(531\) | 5.77930 | + | 1.17682i | 0.250800 | + | 0.0510696i | ||||
\(532\) | −7.51716 | + | 11.4853i | −0.325910 | + | 0.497953i | ||||
\(533\) | 5.88089 | + | 0.579217i | 0.254730 | + | 0.0250887i | ||||
\(534\) | 2.45059 | + | 2.97092i | 0.106048 | + | 0.128564i | ||||
\(535\) | −13.5148 | + | 20.2263i | −0.584295 | + | 0.874459i | ||||
\(536\) | 19.0179 | + | 0.662334i | 0.821448 | + | 0.0286085i | ||||
\(537\) | 25.0032 | + | 33.8730i | 1.07897 | + | 1.46173i | ||||
\(538\) | −5.75579 | − | 12.0213i | −0.248150 | − | 0.518274i | ||||
\(539\) | 0.271379 | − | 0.0823220i | 0.0116891 | − | 0.00354586i | ||||
\(540\) | 15.6907 | + | 2.28388i | 0.675220 | + | 0.0982826i | ||||
\(541\) | 26.8054 | − | 32.6624i | 1.15245 | − | 1.40427i | 0.252880 | − | 0.967498i | \(-0.418622\pi\) |
0.899573 | − | 0.436771i | \(-0.143878\pi\) | |||||||
\(542\) | −14.6753 | − | 6.85566i | −0.630359 | − | 0.294476i | ||||
\(543\) | 19.2715 | + | 17.5463i | 0.827017 | + | 0.752984i | ||||
\(544\) | 27.0953 | − | 4.68047i | 1.16170 | − | 0.200673i | ||||
\(545\) | 11.9053 | + | 11.9053i | 0.509966 | + | 0.509966i | ||||
\(546\) | −5.09680 | + | 2.12607i | −0.218123 | + | 0.0909873i | ||||
\(547\) | 5.88041 | − | 7.16529i | 0.251428 | − | 0.306366i | −0.631967 | − | 0.774995i | \(-0.717752\pi\) |
0.883395 | + | 0.468630i | \(0.155252\pi\) | |||||||
\(548\) | 0.498557 | + | 4.61159i | 0.0212973 | + | 0.196998i | ||||
\(549\) | −11.1829 | − | 27.3477i | −0.477274 | − | 1.16717i | ||||
\(550\) | −1.99969 | − | 0.704787i | −0.0852672 | − | 0.0300522i | ||||
\(551\) | 1.92778 | − | 1.28810i | 0.0821263 | − | 0.0548750i | ||||
\(552\) | 14.6708 | + | 9.54990i | 0.624432 | + | 0.406471i | ||||
\(553\) | −13.4470 | + | 20.1248i | −0.571823 | + | 0.855794i | ||||
\(554\) | 4.62070 | − | 32.2053i | 0.196315 | − | 1.36827i | ||||
\(555\) | 0.686737 | − | 13.3612i | 0.0291504 | − | 0.567152i | ||||
\(556\) | 11.1443 | + | 16.3398i | 0.472622 | + | 0.692961i | ||||
\(557\) | 11.2738 | + | 3.41988i | 0.477688 | + | 0.144905i | 0.519941 | − | 0.854202i | \(-0.325954\pi\) |
−0.0422537 | + | 0.999107i | \(0.513454\pi\) | |||||||
\(558\) | 2.60156 | − | 4.34268i | 0.110133 | − | 0.183840i | ||||
\(559\) | 2.47588 | + | 5.97731i | 0.104719 | + | 0.252813i | ||||
\(560\) | 10.0938 | + | 11.8328i | 0.426542 | + | 0.500026i | ||||
\(561\) | 1.60145 | − | 4.44399i | 0.0676133 | − | 0.187625i | ||||
\(562\) | 36.4060 | − | 22.0571i | 1.53570 | − | 0.930422i | ||||
\(563\) | 5.10729 | + | 9.55507i | 0.215247 | + | 0.402698i | 0.966252 | − | 0.257598i | \(-0.0829309\pi\) |
−0.751006 | + | 0.660296i | \(0.770431\pi\) | |||||||
\(564\) | 34.0630 | − | 16.4139i | 1.43431 | − | 0.691149i | ||||
\(565\) | −16.8412 | − | 20.5211i | −0.708515 | − | 0.863328i | ||||
\(566\) | 7.62600 | + | 29.8415i | 0.320545 | + | 1.25433i | ||||
\(567\) | 21.2687 | − | 8.58486i | 0.893203 | − | 0.360530i | ||||
\(568\) | 28.3568 | + | 9.69190i | 1.18982 | + | 0.406663i | ||||
\(569\) | 0.0420587 | − | 0.211443i | 0.00176319 | − | 0.00886417i | −0.979894 | − | 0.199520i | \(-0.936062\pi\) |
0.981657 | + | 0.190656i | \(0.0610616\pi\) | |||||||
\(570\) | 6.36581 | − | 7.79632i | 0.266635 | − | 0.326552i | ||||
\(571\) | −16.5265 | + | 30.9190i | −0.691614 | + | 1.29392i | 0.253550 | + | 0.967322i | \(0.418402\pi\) |
−0.945164 | + | 0.326596i | \(0.894098\pi\) | |||||||
\(572\) | −0.459620 | + | 0.879929i | −0.0192177 | + | 0.0367917i | ||||
\(573\) | 1.26362 | + | 8.65363i | 0.0527884 | + | 0.361510i | ||||
\(574\) | −16.2518 | − | 17.7605i | −0.678335 | − | 0.741308i | ||||
\(575\) | 9.54804i | 0.398181i | ||||||||
\(576\) | 23.9931 | − | 0.576396i | 0.999712 | − | 0.0240165i | ||||
\(577\) | 28.5934i | 1.19036i | 0.803593 | + | 0.595179i | \(0.202919\pi\) | ||||
−0.803593 | + | 0.595179i | \(0.797081\pi\) | |||||||
\(578\) | −6.91405 | + | 6.32671i | −0.287586 | + | 0.263156i | ||||
\(579\) | −6.28387 | − | 43.0338i | −0.261149 | − | 1.78842i | ||||
\(580\) | −0.786474 | − | 2.50654i | −0.0326566 | − | 0.104078i | ||||
\(581\) | −10.2303 | + | 19.1396i | −0.424426 | + | 0.794046i | ||||
\(582\) | 33.4432 | + | 27.3069i | 1.38626 | + | 1.13191i | ||||
\(583\) | −0.823558 | + | 4.14030i | −0.0341083 | + | 0.171474i | ||||
\(584\) | −0.0220121 | − | 0.346938i | −0.000910868 | − | 0.0143564i | ||||
\(585\) | 3.88028 | − | 1.15790i | 0.160430 | − | 0.0478732i | ||||
\(586\) | 11.6940 | − | 2.98840i | 0.483075 | − | 0.123450i | ||||
\(587\) | −25.7608 | − | 31.3896i | −1.06326 | − | 1.29559i | −0.953422 | − | 0.301638i | \(-0.902467\pi\) |
−0.109839 | − | 0.993949i | \(-0.535033\pi\) | |||||||
\(588\) | −1.65278 | − | 0.577890i | −0.0681595 | − | 0.0238318i | ||||
\(589\) | −1.51481 | − | 2.83401i | −0.0624167 | − | 0.116773i | ||||
\(590\) | −2.19813 | − | 3.62810i | −0.0904955 | − | 0.149366i | ||||
\(591\) | 5.43262 | − | 15.0754i | 0.223468 | − | 0.620120i | ||||
\(592\) | −2.36808 | − | 20.1116i | −0.0973276 | − | 0.826580i | ||||
\(593\) | −4.76355 | − | 11.5002i | −0.195616 | − | 0.472258i | 0.795387 | − | 0.606102i | \(-0.207268\pi\) |
−0.991002 | + | 0.133844i | \(0.957268\pi\) | |||||||
\(594\) | 1.95100 | − | 3.63224i | 0.0800504 | − | 0.149033i | ||||
\(595\) | −18.0861 | − | 5.48637i | −0.741459 | − | 0.224919i | ||||
\(596\) | 28.5534 | + | 5.39767i | 1.16959 | + | 0.221097i | ||||
\(597\) | −0.884740 | + | 17.2136i | −0.0362100 | + | 0.704505i | ||||
\(598\) | 4.42522 | + | 0.634915i | 0.180961 | + | 0.0259636i | ||||
\(599\) | −2.13771 | + | 3.19931i | −0.0873445 | + | 0.130720i | −0.872569 | − | 0.488491i | \(-0.837548\pi\) |
0.785224 | + | 0.619211i | \(0.212548\pi\) | |||||||
\(600\) | 7.40290 | + | 10.7963i | 0.302222 | + | 0.440755i | ||||
\(601\) | 7.11945 | − | 4.75706i | 0.290408 | − | 0.194045i | −0.401829 | − | 0.915715i | \(-0.631625\pi\) |
0.692237 | + | 0.721670i | \(0.256625\pi\) | |||||||
\(602\) | 8.76126 | − | 24.8584i | 0.357082 | − | 1.01315i | ||||
\(603\) | −18.6822 | + | 7.63943i | −0.760797 | + | 0.311102i | ||||
\(604\) | −20.4064 | + | 25.3534i | −0.830324 | + | 1.03162i | ||||
\(605\) | −10.3425 | + | 12.6023i | −0.420481 | + | 0.512357i | ||||
\(606\) | 13.2139 | + | 31.6776i | 0.536778 | + | 1.28681i | ||||
\(607\) | −15.7190 | − | 15.7190i | −0.638015 | − | 0.638015i | 0.312050 | − | 0.950066i | \(-0.398984\pi\) |
−0.950066 | + | 0.312050i | \(0.898984\pi\) | |||||||
\(608\) | 7.51914 | − | 13.2499i | 0.304942 | − | 0.537354i | ||||
\(609\) | −2.80985 | − | 2.55832i | −0.113861 | − | 0.103668i | ||||
\(610\) | −8.99430 | + | 19.2533i | −0.364169 | + | 0.779545i | ||||
\(611\) | 6.12594 | − | 7.46448i | 0.247829 | − | 0.301981i | ||||
\(612\) | −24.1683 | + | 16.3236i | −0.976946 | + | 0.659844i | ||||
\(613\) | 13.1748 | − | 3.99654i | 0.532127 | − | 0.161419i | −0.0127756 | − | 0.999918i | \(-0.504067\pi\) |
0.544902 | + | 0.838499i | \(0.316567\pi\) | |||||||
\(614\) | −18.5720 | + | 8.89228i | −0.749505 | + | 0.358863i | ||||
\(615\) | 10.4833 | + | 14.2022i | 0.422727 | + | 0.572689i | ||||
\(616\) | 3.78804 | − | 1.41669i | 0.152624 | − | 0.0570802i | ||||
\(617\) | −1.50969 | + | 2.25940i | −0.0607777 | + | 0.0909602i | −0.860614 | − | 0.509258i | \(-0.829920\pi\) |
0.799836 | + | 0.600219i | \(0.204920\pi\) | |||||||
\(618\) | 29.0768 | − | 23.9843i | 1.16964 | − | 0.964789i | ||||
\(619\) | 27.7359 | + | 2.73174i | 1.11480 | + | 0.109798i | 0.638599 | − | 0.769540i | \(-0.279514\pi\) |
0.476199 | + | 0.879338i | \(0.342014\pi\) | |||||||
\(620\) | −3.56415 | + | 0.744282i | −0.143140 | + | 0.0298911i | ||||
\(621\) | −18.3472 | − | 2.84911i | −0.736249 | − | 0.114331i | ||||
\(622\) | 1.11672 | + | 7.28917i | 0.0447763 | + | 0.292269i | ||||
\(623\) | −1.53333 | − | 3.70179i | −0.0614316 | − | 0.148309i | ||||
\(624\) | 5.49600 | − | 2.71310i | 0.220016 | − | 0.108611i | ||||
\(625\) | 1.72186 | − | 4.15694i | 0.0688745 | − | 0.166278i | ||||
\(626\) | 19.4376 | + | 4.77070i | 0.776884 | + | 0.190675i | ||||
\(627\) | −1.34044 | − | 2.24792i | −0.0535319 | − | 0.0897732i | ||||
\(628\) | −6.02980 | + | 6.14567i | −0.240615 | + | 0.245239i | ||||
\(629\) | 15.6113 | + | 19.0224i | 0.622461 | + | 0.758471i | ||||
\(630\) | −14.9143 | − | 7.04980i | −0.594201 | − | 0.280871i | ||||
\(631\) | 0.610151 | + | 3.06744i | 0.0242897 | + | 0.122113i | 0.991028 | − | 0.133656i | \(-0.0426716\pi\) |
−0.966738 | + | 0.255768i | \(0.917672\pi\) | |||||||
\(632\) | 13.4801 | − | 23.2360i | 0.536209 | − | 0.924279i | ||||
\(633\) | −16.6527 | − | 2.50876i | −0.661884 | − | 0.0997141i | ||||
\(634\) | −36.4787 | + | 1.96612i | −1.44876 | + | 0.0780846i | ||||
\(635\) | 14.2016 | − | 26.5693i | 0.563572 | − | 1.05437i | ||||
\(636\) | 19.1841 | − | 17.6425i | 0.760699 | − | 0.699571i | ||||
\(637\) | −0.444996 | + | 0.0438282i | −0.0176314 | + | 0.00173654i | ||||
\(638\) | −0.682436 | − | 0.0302717i | −0.0270179 | − | 0.00119847i | ||||
\(639\) | −31.6459 | + | 2.97215i | −1.25189 | + | 0.117576i | ||||
\(640\) | −12.0119 | − | 12.3971i | −0.474810 | − | 0.490037i | ||||
\(641\) | 5.87312i | 0.231974i | 0.993251 | + | 0.115987i | \(0.0370031\pi\) | ||||
−0.993251 | + | 0.115987i | \(0.962997\pi\) | |||||||
\(642\) | −0.0973605 | − | 39.0536i | −0.00384251 | − | 1.54132i | ||||
\(643\) | 2.75855 | + | 28.0081i | 0.108787 | + | 1.10453i | 0.882280 | + | 0.470725i | \(0.156008\pi\) |
−0.773493 | + | 0.633805i | \(0.781492\pi\) | |||||||
\(644\) | −11.6873 | − | 13.9678i | −0.460544 | − | 0.550408i | ||||
\(645\) | −8.30266 | + | 17.4521i | −0.326917 | + | 0.687176i | ||||
\(646\) | 0.996364 | + | 18.4862i | 0.0392014 | + | 0.727330i | ||||
\(647\) | −4.43936 | + | 22.3182i | −0.174529 | + | 0.877419i | 0.789932 | + | 0.613195i | \(0.210116\pi\) |
−0.964461 | + | 0.264224i | \(0.914884\pi\) | |||||||
\(648\) | −22.9548 | + | 11.0036i | −0.901748 | + | 0.432262i | ||||
\(649\) | −1.08186 | + | 0.215196i | −0.0424668 | + | 0.00844718i | ||||
\(650\) | 2.87561 | + | 1.70503i | 0.112791 | + | 0.0668768i | ||||
\(651\) | −3.91045 | + | 3.52813i | −0.153263 | + | 0.138278i | ||||
\(652\) | 25.6327 | − | 26.1252i | 1.00385 | − | 1.02314i | ||||
\(653\) | 5.98484 | + | 11.1968i | 0.234205 | + | 0.438166i | 0.971378 | − | 0.237537i | \(-0.0763401\pi\) |
−0.737174 | + | 0.675703i | \(0.763840\pi\) | |||||||
\(654\) | −26.5238 | − | 5.20720i | −1.03716 | − | 0.203618i | ||||
\(655\) | 4.18119 | + | 1.73190i | 0.163373 | + | 0.0676711i | ||||
\(656\) | 19.2492 | + | 18.5301i | 0.751555 | + | 0.723478i | ||||
\(657\) | 0.172340 | + | 0.325969i | 0.00672362 | + | 0.0127173i | ||||
\(658\) | −38.8852 | + | 5.95730i | −1.51590 | + | 0.232240i | ||||
\(659\) | −17.6621 | − | 5.35775i | −0.688019 | − | 0.208708i | −0.0731305 | − | 0.997322i | \(-0.523299\pi\) |
−0.614888 | + | 0.788614i | \(0.710799\pi\) | |||||||
\(660\) | −2.87131 | + | 0.741393i | −0.111766 | + | 0.0288587i | ||||
\(661\) | 0.134882 | − | 1.36948i | 0.00524632 | − | 0.0532668i | −0.992205 | − | 0.124615i | \(-0.960230\pi\) |
0.997451 | + | 0.0713487i | \(0.0227303\pi\) | |||||||
\(662\) | −2.60240 | + | 1.94933i | −0.101145 | + | 0.0757628i | ||||
\(663\) | −3.84355 | + | 6.37977i | −0.149271 | + | 0.247770i | ||||
\(664\) | 9.98646 | − | 21.9187i | 0.387550 | − | 0.850612i | ||||
\(665\) | −8.70690 | + | 5.81776i | −0.337639 | + | 0.225603i | ||||
\(666\) | 11.0466 | + | 18.4206i | 0.428046 | + | 0.713782i | ||||
\(667\) | 0.892974 | + | 2.94374i | 0.0345761 | + | 0.113982i | ||||
\(668\) | 12.0227 | − | 6.57410i | 0.465171 | − | 0.254360i | ||||
\(669\) | −7.13881 | − | 5.31961i | −0.276003 | − | 0.205668i | ||||
\(670\) | 13.1526 | + | 6.14433i | 0.508131 | + | 0.237376i | ||||
\(671\) | 3.90734 | + | 3.90734i | 0.150841 | + | 0.150841i | ||||
\(672\) | −24.0448 | − | 6.73229i | −0.927550 | − | 0.259704i | ||||
\(673\) | 33.1511 | − | 33.1511i | 1.27788 | − | 1.27788i | 0.336028 | − | 0.941852i | \(-0.390916\pi\) |
0.941852 | − | 0.336028i | \(-0.109084\pi\) | |||||||
\(674\) | 39.1959 | − | 14.2353i | 1.50977 | − | 0.548321i | ||||
\(675\) | −11.8604 | − | 7.21888i | −0.456509 | − | 0.277855i | ||||
\(676\) | −15.3208 | + | 19.0349i | −0.589260 | + | 0.732113i | ||||
\(677\) | −37.2948 | + | 11.3133i | −1.43336 | + | 0.434804i | −0.909036 | − | 0.416717i | \(-0.863181\pi\) |
−0.524320 | + | 0.851521i | \(0.675681\pi\) | |||||||
\(678\) | 40.8150 | + | 12.2701i | 1.56749 | + | 0.471229i | ||||
\(679\) | −24.9559 | − | 37.3492i | −0.957721 | − | 1.43333i | ||||
\(680\) | 20.4184 | + | 4.80588i | 0.783012 | + | 0.184297i | ||||
\(681\) | −10.6218 | + | 17.6306i | −0.407027 | + | 0.675608i | ||||
\(682\) | −0.134464 | + | 0.937183i | −0.00514888 | + | 0.0358866i | ||||
\(683\) | −9.03772 | − | 0.890137i | −0.345819 | − | 0.0340602i | −0.0763829 | − | 0.997079i | \(-0.524337\pi\) |
−0.269436 | + | 0.963018i | \(0.586837\pi\) | |||||||
\(684\) | −1.50365 | + | 16.0888i | −0.0574934 | + | 0.615169i | ||||
\(685\) | −1.02719 | + | 3.38619i | −0.0392469 | + | 0.129380i | ||||
\(686\) | 21.8031 | + | 16.0101i | 0.832447 | + | 0.611267i | ||||
\(687\) | 9.35442 | − | 4.39841i | 0.356893 | − | 0.167810i | ||||
\(688\) | −7.95735 | + | 28.1498i | −0.303371 | + | 1.07320i | ||||
\(689\) | 2.54717 | − | 6.14941i | 0.0970395 | − | 0.234274i | ||||
\(690\) | 7.44691 | + | 11.0852i | 0.283499 | + | 0.422005i | ||||
\(691\) | 29.3753 | − | 15.7014i | 1.11749 | − | 0.597311i | 0.194026 | − | 0.980996i | \(-0.437845\pi\) |
0.923464 | + | 0.383686i | \(0.125345\pi\) | |||||||
\(692\) | −7.53044 | − | 3.03558i | −0.286265 | − | 0.115395i | ||||
\(693\) | −3.04692 | + | 3.01944i | −0.115743 | + | 0.114699i | ||||
\(694\) | −0.987853 | − | 3.86560i | −0.0374984 | − | 0.146736i | ||||
\(695\) | 2.94360 | + | 14.7985i | 0.111657 | + | 0.561338i | ||||
\(696\) | 3.29209 | + | 2.63622i | 0.124786 | + | 0.0999258i | ||||
\(697\) | −31.8445 | − | 6.33426i | −1.20620 | − | 0.239927i | ||||
\(698\) | −30.5361 | − | 27.4128i | −1.15581 | − | 1.03759i | ||||
\(699\) | 0.453340 | − | 0.952917i | 0.0171469 | − | 0.0360426i | ||||
\(700\) | −4.07734 | − | 12.9947i | −0.154109 | − | 0.491153i | ||||
\(701\) | −35.9614 | + | 3.54189i | −1.35824 | + | 0.133775i | −0.750770 | − | 0.660564i | \(-0.770317\pi\) |
−0.607475 | + | 0.794339i | \(0.707817\pi\) | |||||||
\(702\) | −4.13441 | + | 5.01691i | −0.156043 | + | 0.189351i | ||||
\(703\) | 13.6344 | 0.514231 | ||||||||
\(704\) | −4.09621 | + | 1.83539i | −0.154382 | + | 0.0691740i | ||||
\(705\) | 28.8137 | − | 1.35011i | 1.08519 | − | 0.0508480i | ||||
\(706\) | −9.86490 | + | 9.02689i | −0.371270 | + | 0.339732i | ||||
\(707\) | −3.50016 | − | 35.5377i | −0.131637 | − | 1.33653i | ||||
\(708\) | 6.17740 | + | 2.86707i | 0.232161 | + | 0.107751i | ||||
\(709\) | 39.4443 | + | 21.0834i | 1.48136 | + | 0.791804i | 0.996564 | − | 0.0828221i | \(-0.0263933\pi\) |
0.484797 | + | 0.874626i | \(0.338893\pi\) | |||||||
\(710\) | 17.0119 | + | 15.2719i | 0.638447 | + | 0.573145i | ||||
\(711\) | −2.92120 | + | 28.3424i | −0.109553 | + | 1.06292i | ||||
\(712\) | 1.95852 | + | 3.99248i | 0.0733987 | + | 0.149625i | ||||
\(713\) | 4.18166 | − | 0.831784i | 0.156604 | − | 0.0311506i | ||||
\(714\) | 29.0141 | − | 8.88037i | 1.08582 | − | 0.332340i | ||||
\(715\) | −0.585426 | + | 0.480447i | −0.0218937 | + | 0.0179677i | ||||
\(716\) | 19.0306 | + | 44.7351i | 0.711208 | + | 1.67183i | ||||
\(717\) | −16.4157 | − | 27.5292i | −0.613056 | − | 1.02810i | ||||
\(718\) | −26.1374 | − | 43.1408i | −0.975440 | − | 1.61000i | ||||
\(719\) | 17.6887 | + | 7.32690i | 0.659677 | + | 0.273247i | 0.687303 | − | 0.726371i | \(-0.258795\pi\) |
−0.0276257 | + | 0.999618i | \(0.508795\pi\) | |||||||
\(720\) | 17.0151 | + | 6.76050i | 0.634116 | + | 0.251949i | ||||
\(721\) | −36.2299 | + | 15.0069i | −1.34927 | + | 0.558886i | ||||
\(722\) | −13.3904 | − | 9.83259i | −0.498339 | − | 0.365931i | ||||
\(723\) | 5.81958 | − | 23.0118i | 0.216432 | − | 0.855817i | ||||
\(724\) | 16.9570 | + | 24.8625i | 0.630202 | + | 0.924006i | ||||
\(725\) | −0.225479 | + | 2.28933i | −0.00837407 | + | 0.0850234i | ||||
\(726\) | 2.50049 | − | 26.0536i | 0.0928017 | − | 0.966938i | ||||
\(727\) | 37.7594 | + | 25.2300i | 1.40042 | + | 0.935730i | 0.999810 | + | 0.0194801i | \(0.00620111\pi\) |
0.400608 | + | 0.916249i | \(0.368799\pi\) | |||||||
\(728\) | −6.29377 | + | 1.02561i | −0.233263 | + | 0.0380117i | ||||
\(729\) | 17.4107 | − | 20.6366i | 0.644841 | − | 0.764317i | ||||
\(730\) | 0.0881547 | − | 0.250122i | 0.00326275 | − | 0.00925741i | ||||
\(731\) | −10.3189 | − | 34.0170i | −0.381660 | − | 1.25816i | ||||
\(732\) | −5.25050 | − | 33.7101i | −0.194064 | − | 1.24596i | ||||
\(733\) | 14.2035 | + | 11.6565i | 0.524618 | + | 0.430543i | 0.859061 | − | 0.511873i | \(-0.171048\pi\) |
−0.334443 | + | 0.942416i | \(0.608548\pi\) | |||||||
\(734\) | −24.4680 | + | 8.88634i | −0.903130 | + | 0.328001i | ||||
\(735\) | −0.987664 | − | 0.899250i | −0.0364305 | − | 0.0331693i | ||||
\(736\) | 13.9269 | + | 14.6499i | 0.513352 | + | 0.540003i | ||||
\(737\) | 2.66924 | − | 2.66924i | 0.0983228 | − | 0.0983228i | ||||
\(738\) | −26.6851 | − | 9.54124i | −0.982293 | − | 0.351218i | ||||
\(739\) | −12.7123 | − | 10.4327i | −0.467628 | − | 0.383772i | 0.370863 | − | 0.928687i | \(-0.379062\pi\) |
−0.838491 | + | 0.544915i | \(0.816562\pi\) | |||||||
\(740\) | 4.34360 | − | 14.8254i | 0.159674 | − | 0.544992i | ||||
\(741\) | 1.38144 | + | 3.88860i | 0.0507484 | + | 0.142851i | ||||
\(742\) | −24.4572 | + | 11.7101i | −0.897850 | + | 0.429891i | ||||
\(743\) | −8.06623 | − | 12.0720i | −0.295921 | − | 0.442878i | 0.653480 | − | 0.756944i | \(-0.273309\pi\) |
−0.949401 | + | 0.314066i | \(0.898309\pi\) | |||||||
\(744\) | 4.08342 | − | 4.18270i | 0.149705 | − | 0.153345i | ||||
\(745\) | 18.4324 | + | 12.3161i | 0.675309 | + | 0.451227i | ||||
\(746\) | 13.1284 | − | 9.83388i | 0.480666 | − | 0.360044i | ||||
\(747\) | −0.115741 | + | 25.5473i | −0.00423474 | + | 0.934728i | ||||
\(748\) | 2.98706 | − | 4.56389i | 0.109218 | − | 0.166872i | ||||
\(749\) | −11.7947 | + | 38.8818i | −0.430968 | + | 1.42071i | ||||
\(750\) | 5.66390 | + | 28.1080i | 0.206817 | + | 1.02636i | ||||
\(751\) | 13.9383 | − | 5.77342i | 0.508614 | − | 0.210675i | −0.113593 | − | 0.993527i | \(-0.536236\pi\) |
0.622207 | + | 0.782852i | \(0.286236\pi\) | |||||||
\(752\) | 42.6520 | − | 9.33124i | 1.55536 | − | 0.340275i | ||||
\(753\) | 16.2018 | − | 44.9597i | 0.590427 | − | 1.63842i | ||||
\(754\) | 1.04604 | + | 0.256735i | 0.0380944 | + | 0.00934975i | ||||
\(755\) | −21.8965 | + | 11.7039i | −0.796896 | + | 0.425950i | ||||
\(756\) | 26.1869 | − | 3.95730i | 0.952407 | − | 0.143926i | ||||
\(757\) | 19.8304 | − | 16.2744i | 0.720747 | − | 0.591502i | −0.200863 | − | 0.979619i | \(-0.564375\pi\) |
0.921610 | + | 0.388118i | \(0.126875\pi\) | |||||||
\(758\) | −24.2479 | − | 14.3772i | −0.880722 | − | 0.522205i | ||||
\(759\) | 3.37036 | − | 0.836122i | 0.122336 | − | 0.0303493i | ||||
\(760\) | 9.23524 | − | 7.05586i | 0.334997 | − | 0.255943i | ||||
\(761\) | 21.5478 | + | 4.28613i | 0.781109 | + | 0.155372i | 0.569510 | − | 0.821984i | \(-0.307133\pi\) |
0.211599 | + | 0.977357i | \(0.432133\pi\) | |||||||
\(762\) | 4.86071 | + | 48.1214i | 0.176085 | + | 1.74325i | ||||
\(763\) | 24.8014 | + | 13.2566i | 0.897872 | + | 0.479923i | ||||
\(764\) | −0.894128 | + | 10.0587i | −0.0323484 | + | 0.363909i | ||||
\(765\) | −21.8408 | + | 4.24163i | −0.789655 | + | 0.153356i | ||||
\(766\) | −26.5947 | − | 1.17969i | −0.960906 | − | 0.0426241i | ||||
\(767\) | 1.73924 | 0.0628002 | ||||||||
\(768\) | 27.1061 | + | 5.76716i | 0.978107 | + | 0.208104i | ||||
\(769\) | 21.4995 | 0.775292 | 0.387646 | − | 0.921808i | \(-0.373288\pi\) | ||||
0.387646 | + | 0.921808i | \(0.373288\pi\) | |||||||
\(770\) | 3.08225 | + | 0.136723i | 0.111077 | + | 0.00492716i | ||||
\(771\) | 5.20432 | + | 35.6408i | 0.187429 | + | 1.28357i | ||||
\(772\) | 4.44642 | − | 50.0209i | 0.160030 | − | 1.80029i | ||||
\(773\) | −25.5434 | − | 13.6532i | −0.918733 | − | 0.491073i | −0.0569655 | − | 0.998376i | \(-0.518143\pi\) |
−0.861768 | + | 0.507303i | \(0.830643\pi\) | |||||||
\(774\) | −4.55964 | − | 30.6905i | −0.163893 | − | 1.10315i | ||||
\(775\) | 3.12707 | + | 0.622013i | 0.112328 | + | 0.0223434i | ||||
\(776\) | 30.2669 | + | 39.6156i | 1.08652 | + | 1.42212i | ||||
\(777\) | −5.38066 | − | 21.6891i | −0.193030 | − | 0.778094i | ||||
\(778\) | 2.64802 | + | 1.57008i | 0.0949361 | + | 0.0562902i | ||||
\(779\) | −13.9060 | + | 11.4124i | −0.498234 | + | 0.408890i | ||||
\(780\) | 4.66838 | − | 0.263288i | 0.167155 | − | 0.00942723i | ||||
\(781\) | 5.24269 | − | 2.80228i | 0.187598 | − | 0.100273i | ||||
\(782\) | −23.8550 | − | 5.85488i | −0.853052 | − | 0.209370i | ||||
\(783\) | −4.33181 | − | 1.11640i | −0.154806 | − | 0.0398969i | ||||
\(784\) | −1.70211 | − | 1.09103i | −0.0607895 | − | 0.0389655i | ||||
\(785\) | −6.06818 | + | 2.51352i | −0.216583 | + | 0.0897115i | ||||
\(786\) | −7.12253 | + | 1.43523i | −0.254052 | + | 0.0511929i | ||||
\(787\) | −0.411353 | + | 1.35605i | −0.0146631 | + | 0.0483379i | −0.963967 | − | 0.266023i | \(-0.914290\pi\) |
0.949304 | + | 0.314361i | \(0.101790\pi\) | |||||||
\(788\) | 10.1331 | − | 15.4821i | 0.360975 | − | 0.551528i | ||||
\(789\) | 0.880913 | − | 17.1391i | 0.0313613 | − | 0.610169i | ||||
\(790\) | 16.4020 | − | 12.2859i | 0.583556 | − | 0.437114i | ||||
\(791\) | −36.8683 | − | 24.6346i | −1.31089 | − | 0.875907i | ||||
\(792\) | 3.16269 | − | 3.55857i | 0.112381 | − | 0.126448i | ||||
\(793\) | −4.84055 | − | 7.24440i | −0.171893 | − | 0.257256i | ||||
\(794\) | −20.8617 | + | 9.98862i | −0.740356 | + | 0.354483i | ||||
\(795\) | 18.7357 | − | 6.65592i | 0.664488 | − | 0.236061i | ||||
\(796\) | −5.59596 | + | 19.0999i | −0.198344 | + | 0.676977i | ||||
\(797\) | −17.1455 | − | 14.0710i | −0.607326 | − | 0.498419i | 0.279732 | − | 0.960078i | \(-0.409754\pi\) |
−0.887058 | + | 0.461659i | \(0.847254\pi\) | |||||||
\(798\) | 6.39480 | − | 15.5479i | 0.226373 | − | 0.550390i | ||||
\(799\) | −37.5163 | + | 37.5163i | −1.32723 | + | 1.32723i | ||||
\(800\) | 5.42943 | + | 14.1069i | 0.191959 | + | 0.498754i | ||||
\(801\) | −3.63250 | − | 3.00876i | −0.128348 | − | 0.106309i | ||||
\(802\) | −32.6629 | + | 11.8626i | −1.15337 | + | 0.418882i | ||||
\(803\) | −0.0533072 | − | 0.0437481i | −0.00188117 | − | 0.00154384i | ||||
\(804\) | −23.0285 | + | 3.58681i | −0.812154 | + | 0.126497i | ||||
\(805\) | −4.03315 | − | 13.2955i | −0.142150 | − | 0.468605i | ||||
\(806\) | 0.496225 | − | 1.40794i | 0.0174788 | − | 0.0495925i | ||||
\(807\) | 9.69424 | + | 13.1332i | 0.341254 | + | 0.462312i | ||||
\(808\) | 6.37437 | + | 39.1170i | 0.224250 | + | 1.37613i | ||||
\(809\) | 40.6095 | + | 27.1344i | 1.42775 | + | 0.953994i | 0.998713 | + | 0.0507089i | \(0.0161481\pi\) |
0.429040 | + | 0.903285i | \(0.358852\pi\) | |||||||
\(810\) | −19.4001 | + | 0.869411i | −0.681651 | + | 0.0305480i | ||||
\(811\) | 4.47284 | − | 45.4135i | 0.157063 | − | 1.59468i | −0.516984 | − | 0.855995i | \(-0.672945\pi\) |
0.674047 | − | 0.738689i | \(-0.264555\pi\) | |||||||
\(812\) | −2.47240 | − | 3.62504i | −0.0867641 | − | 0.127214i | ||||
\(813\) | 19.2326 | + | 4.86383i | 0.674515 | + | 0.170582i | ||||
\(814\) | −3.23792 | − | 2.37761i | −0.113489 | − | 0.0833350i | ||||
\(815\) | 25.7958 | − | 10.6850i | 0.903588 | − | 0.374278i | ||||
\(816\) | −31.5130 | + | 11.8752i | −1.10318 | + | 0.415716i | ||||
\(817\) | −18.1963 | − | 7.53715i | −0.636608 | − | 0.263692i | ||||
\(818\) | −15.1925 | − | 25.0758i | −0.531192 | − | 0.876753i | ||||
\(819\) | 5.64070 | − | 3.73214i | 0.197102 | − | 0.130412i | ||||
\(820\) | 7.97912 | + | 18.7564i | 0.278643 | + | 0.655003i | ||||
\(821\) | 7.49513 | − | 6.15110i | 0.261582 | − | 0.214675i | −0.494456 | − | 0.869203i | \(-0.664633\pi\) |
0.756038 | + | 0.654528i | \(0.227133\pi\) | |||||||
\(822\) | −1.66264 | − | 5.43219i | −0.0579911 | − | 0.189469i | ||||
\(823\) | −31.6902 | + | 6.30358i | −1.10465 | + | 0.219729i | −0.713540 | − | 0.700614i | \(-0.752909\pi\) |
−0.391112 | + | 0.920343i | \(0.627909\pi\) | |||||||
\(824\) | 39.0750 | − | 19.1683i | 1.36124 | − | 0.667760i | ||||
\(825\) | 2.56780 | + | 0.386844i | 0.0893993 | + | 0.0134682i | ||||
\(826\) | −5.27254 | − | 4.73325i | −0.183455 | − | 0.164691i | ||||
\(827\) | −11.3008 | − | 6.04042i | −0.392968 | − | 0.210046i | 0.263065 | − | 0.964778i | \(-0.415267\pi\) |
−0.656033 | + | 0.754732i | \(0.727767\pi\) | |||||||
\(828\) | −19.8481 | − | 8.10567i | −0.689771 | − | 0.281691i | ||||
\(829\) | −2.04127 | − | 20.7253i | −0.0708962 | − | 0.719821i | −0.963272 | − | 0.268528i | \(-0.913463\pi\) |
0.892376 | − | 0.451293i | \(-0.149037\pi\) | |||||||
\(830\) | 13.5561 | − | 12.4045i | 0.470538 | − | 0.430567i | ||||
\(831\) | 1.86505 | + | 39.8035i | 0.0646978 | + | 1.38077i | ||||
\(832\) | 6.89914 | − | 1.57831i | 0.239185 | − | 0.0547180i | ||||
\(833\) | 2.45682 | 0.0851237 | ||||||||
\(834\) | −17.1712 | − | 17.0858i | −0.594590 | − | 0.591633i | ||||
\(835\) | 10.4031 | − | 1.02461i | 0.360013 | − | 0.0354582i | ||||
\(836\) | −0.904756 | − | 2.88351i | −0.0312916 | − | 0.0997282i | ||||
\(837\) | −2.12835 | + | 5.82328i | −0.0735666 | + | 0.201282i | ||||
\(838\) | −2.90215 | − | 2.60531i | −0.100253 | − | 0.0899989i | ||||
\(839\) | −1.64054 | − | 0.326323i | −0.0566377 | − | 0.0112659i | 0.166690 | − | 0.986009i | \(-0.446692\pi\) |
−0.223328 | + | 0.974743i | \(0.571692\pi\) | |||||||
\(840\) | −14.8688 | − | 11.9066i | −0.513023 | − | 0.410817i | ||||
\(841\) | −5.51303 | − | 27.7159i | −0.190104 | − | 0.955720i | ||||
\(842\) | 2.89015 | + | 11.3095i | 0.0996011 | + | 0.389752i | ||||
\(843\) | −38.7074 | + | 34.9229i | −1.33315 | + | 1.20281i | ||||
\(844\) | −18.0356 | − | 7.27030i | −0.620811 | − | 0.250254i | ||||
\(845\) | −16.4395 | + | 8.78712i | −0.565537 | + | 0.302286i | ||||
\(846\) | −37.1897 | + | 27.5949i | −1.27861 | + | 0.948732i | ||||
\(847\) | −10.4207 | + | 25.1578i | −0.358059 | + | 0.864432i | ||||
\(848\) | 26.2667 | − | 14.6893i | 0.902003 | − | 0.504433i | ||||
\(849\) | −16.0513 | − | 34.1375i | −0.550879 | − | 1.17159i | ||||
\(850\) | −14.8055 | − | 10.8717i | −0.507824 | − | 0.372896i | ||||
\(851\) | −5.25125 | + | 17.3111i | −0.180011 | + | 0.593415i | ||||
\(852\) | −36.3431 | − | 5.12195i | −1.24510 | − | 0.175475i | ||||
\(853\) | −0.912774 | − | 0.0899004i | −0.0312528 | − | 0.00307813i | 0.0823787 | − | 0.996601i | \(-0.473748\pi\) |
−0.113631 | + | 0.993523i | \(0.536248\pi\) | |||||||
\(854\) | −5.04104 | + | 35.1349i | −0.172501 | + | 1.20229i | ||||
\(855\) | −5.86018 | + | 10.8452i | −0.200414 | + | 0.370897i | ||||
\(856\) | 10.3318 | − | 43.8959i | 0.353132 | − | 1.50033i | ||||
\(857\) | 15.6131 | + | 23.3667i | 0.533333 | + | 0.798190i | 0.996095 | − | 0.0882932i | \(-0.0281413\pi\) |
−0.462761 | + | 0.886483i | \(0.653141\pi\) | |||||||
\(858\) | 0.350041 | − | 1.16437i | 0.0119502 | − | 0.0397510i | ||||
\(859\) | −53.1051 | + | 16.1092i | −1.81192 | + | 0.549640i | −0.999444 | − | 0.0333521i | \(-0.989382\pi\) |
−0.812478 | + | 0.582992i | \(0.801882\pi\) | |||||||
\(860\) | −13.9925 | + | 17.3846i | −0.477139 | + | 0.592810i | ||||
\(861\) | 23.6423 | + | 17.6175i | 0.805726 | + | 0.600401i | ||||
\(862\) | −18.0258 | + | 6.54666i | −0.613962 | + | 0.222980i | ||||
\(863\) | 17.9538 | − | 17.9538i | 0.611154 | − | 0.611154i | −0.332093 | − | 0.943247i | \(-0.607755\pi\) |
0.943247 | + | 0.332093i | \(0.107755\pi\) | |||||||
\(864\) | −28.7275 | + | 6.22357i | −0.977328 | + | 0.211730i | ||||
\(865\) | −4.37980 | − | 4.37980i | −0.148918 | − | 0.148918i | ||||
\(866\) | −24.9127 | − | 11.6381i | −0.846567 | − | 0.395478i | ||||
\(867\) | 6.85837 | − | 9.20379i | 0.232922 | − | 0.312577i | ||||
\(868\) | −5.33596 | + | 2.91775i | −0.181114 | + | 0.0990350i | ||||
\(869\) | −1.54688 | − | 5.09938i | −0.0524743 | − | 0.172985i | ||||
\(870\) | 1.52376 | + | 2.83374i | 0.0516603 | + | 0.0960727i | ||||
\(871\) | −4.94891 | + | 3.30675i | −0.167687 | + | 0.112045i | ||||
\(872\) | −28.4026 | − | 12.9406i | −0.961834 | − | 0.438224i | ||||
\(873\) | −46.5215 | − | 25.1379i | −1.57451 | − | 0.850789i | ||||
\(874\) | −10.8924 | + | 8.15900i | −0.368442 | + | 0.275982i | ||||
\(875\) | 2.92397 | − | 29.6876i | 0.0988484 | − | 1.00362i | ||||
\(876\) | 0.106444 | + | 0.412244i | 0.00359642 | + | 0.0139284i | ||||
\(877\) | −46.3068 | − | 14.0470i | −1.56367 | − | 0.474334i | −0.614452 | − | 0.788954i | \(-0.710623\pi\) |
−0.949218 | + | 0.314620i | \(0.898123\pi\) | |||||||
\(878\) | −1.55684 | + | 0.238511i | −0.0525407 | + | 0.00804936i | ||||
\(879\) | −13.3774 | + | 6.29002i | −0.451210 | + | 0.212157i | ||||
\(880\) | −3.42362 | + | 0.0651690i | −0.115410 | + | 0.00219685i | ||||
\(881\) | −42.2625 | − | 17.5057i | −1.42386 | − | 0.589782i | −0.468033 | − | 0.883711i | \(-0.655037\pi\) |
−0.955827 | + | 0.293928i | \(0.905037\pi\) | |||||||
\(882\) | 2.12126 | + | 0.314166i | 0.0714266 | + | 0.0105785i | ||||
\(883\) | 25.2953 | + | 47.3242i | 0.851255 | + | 1.59259i | 0.804709 | + | 0.593669i | \(0.202321\pi\) |
0.0465454 | + | 0.998916i | \(0.485179\pi\) | |||||||
\(884\) | −6.02321 | + | 6.13895i | −0.202582 | + | 0.206475i | ||||
\(885\) | 3.48029 | + | 3.85744i | 0.116989 | + | 0.129666i | ||||
\(886\) | −7.75496 | − | 4.59813i | −0.260533 | − | 0.154477i | ||||
\(887\) | 9.52407 | − | 1.89446i | 0.319787 | − | 0.0636096i | −0.0325869 | − | 0.999469i | \(-0.510375\pi\) |
0.352374 | + | 0.935859i | \(0.385375\pi\) | |||||||
\(888\) | 7.48406 | + | 23.6456i | 0.251148 | + | 0.793494i | ||||
\(889\) | 9.81697 | − | 49.3533i | 0.329251 | − | 1.65526i | ||||
\(890\) | 0.182583 | + | 3.38758i | 0.00612018 | + | 0.113552i | ||||
\(891\) | −1.50957 | + | 4.81877i | −0.0505725 | + | 0.161435i | ||||
\(892\) | −6.59698 | − | 7.88423i | −0.220883 | − | 0.263984i | ||||
\(893\) | 2.88133 | + | 29.2547i | 0.0964202 | + | 0.978971i | ||||
\(894\) | −35.5898 | + | 0.0887253i | −1.19030 | + | 0.00296742i | ||||
\(895\) | 37.0869i | 1.23968i | ||||||||
\(896\) | −25.2102 | − | 13.9910i | −0.842214 | − | 0.467407i | ||||
\(897\) | −5.46927 | + | 0.256270i | −0.182614 | + | 0.00855662i | ||||
\(898\) | 9.31497 | + | 0.413196i | 0.310845 | + | 0.0137885i | ||||
\(899\) | 1.02228 | − | 0.100685i | 0.0340948 | − | 0.00335804i | ||||
\(900\) | −11.3931 | − | 11.2801i | −0.379771 | − | 0.376002i | ||||
\(901\) | −17.2396 | + | 32.2529i | −0.574333 | + | 1.07450i | ||||
\(902\) | 5.29254 | − | 0.285256i | 0.176222 | − | 0.00949798i | ||||
\(903\) | −4.80889 | + | 31.9205i | −0.160030 | + | 1.06225i | ||||
\(904\) | 42.5680 | + | 24.6953i | 1.41579 | + | 0.821353i | ||||
\(905\) | 4.47895 | + | 22.5172i | 0.148885 | + | 0.748497i | ||||
\(906\) | 18.7022 | − | 35.2002i | 0.621340 | − | 1.16945i | ||||
\(907\) | −20.7172 | − | 25.2439i | −0.687902 | − | 0.838211i | 0.305584 | − | 0.952165i | \(-0.401148\pi\) |
−0.993486 | + | 0.113954i | \(0.963648\pi\) | |||||||
\(908\) | −16.6453 | + | 16.9651i | −0.552393 | + | 0.563008i | ||||
\(909\) | −23.1960 | − | 35.0580i | −0.769361 | − | 1.16280i | ||||
\(910\) | −4.72447 | − | 1.15956i | −0.156615 | − | 0.0384389i | ||||
\(911\) | 19.1205 | − | 46.1609i | 0.633489 | − | 1.52938i | −0.201718 | − | 0.979444i | \(-0.564652\pi\) |
0.835207 | − | 0.549935i | \(-0.185348\pi\) | |||||||
\(912\) | −5.99047 | + | 17.6709i | −0.198364 | + | 0.585141i | ||||
\(913\) | −1.82848 | − | 4.41434i | −0.0605139 | − | 0.146093i | ||||
\(914\) | 2.98821 | + | 19.5050i | 0.0988412 | + | 0.645167i | ||||
\(915\) | 6.38112 | − | 25.2322i | 0.210953 | − | 0.834151i | ||||
\(916\) | 11.6840 | − | 2.43990i | 0.386049 | − | 0.0806164i | ||||
\(917\) | 7.52281 | + | 0.740932i | 0.248425 | + | 0.0244677i | ||||
\(918\) | 25.3086 | − | 25.2057i | 0.835308 | − | 0.831912i | ||||
\(919\) | 1.44883 | − | 2.16832i | 0.0477924 | − | 0.0715263i | −0.806804 | − | 0.590819i | \(-0.798805\pi\) |
0.854596 | + | 0.519293i | \(0.173805\pi\) | |||||||
\(920\) | 5.40163 | + | 14.4432i | 0.178086 | + | 0.476177i | ||||
\(921\) | 20.2899 | − | 14.9769i | 0.668575 | − | 0.493505i | ||||
\(922\) | 42.5343 | − | 20.3655i | 1.40079 | − | 0.670701i | ||||
\(923\) | −8.96953 | + | 2.72088i | −0.295236 | + | 0.0895587i | ||||
\(924\) | −4.22994 | + | 2.57720i | −0.139155 | + | 0.0847837i | ||||
\(925\) | −8.58196 | + | 10.4571i | −0.282173 | + | 0.343829i | ||||
\(926\) | −2.53564 | + | 5.42783i | −0.0833263 | + | 0.178370i | ||||
\(927\) | −29.4471 | + | 35.5518i | −0.967170 | + | 1.16767i | ||||
\(928\) | 2.99327 | + | 3.84148i | 0.0982590 | + | 0.126103i | ||||
\(929\) | 11.8656 | + | 11.8656i | 0.389297 | + | 0.389297i | 0.874437 | − | 0.485140i | \(-0.161231\pi\) |
−0.485140 | + | 0.874437i | \(0.661231\pi\) | |||||||
\(930\) | 4.11563 | − | 1.71678i | 0.134957 | − | 0.0562955i | ||||
\(931\) | 0.863551 | − | 1.05224i | 0.0283017 | − | 0.0344858i | ||||
\(932\) | 0.764014 | − | 0.949231i | 0.0250261 | − | 0.0310931i | ||||
\(933\) | −3.02336 | − | 8.51045i | −0.0989804 | − | 0.278620i | ||||
\(934\) | 1.47617 | − | 4.18834i | 0.0483018 | − | 0.137047i | ||||
\(935\) | 3.45983 | − | 2.31178i | 0.113148 | − | 0.0756034i | ||||
\(936\) | −5.98557 | + | 4.53027i | −0.195644 | + | 0.148076i | ||||
\(937\) | 4.81407 | − | 7.20477i | 0.157269 | − | 0.235370i | −0.744465 | − | 0.667662i | \(-0.767295\pi\) |
0.901733 | + | 0.432292i | \(0.142295\pi\) | |||||||
\(938\) | 24.0019 | + | 3.44371i | 0.783691 | + | 0.112441i | ||||
\(939\) | −24.4804 | − | 1.25824i | −0.798886 | − | 0.0410610i | ||||
\(940\) | 32.7281 | + | 6.18684i | 1.06747 | + | 0.201793i | ||||
\(941\) | −26.0368 | − | 7.89818i | −0.848776 | − | 0.257473i | −0.164211 | − | 0.986425i | \(-0.552508\pi\) |
−0.684565 | + | 0.728952i | \(0.740008\pi\) | |||||||
\(942\) | 5.83647 | − | 8.78221i | 0.190162 | − | 0.286140i | ||||
\(943\) | −9.13397 | − | 22.0514i | −0.297443 | − | 0.718091i | ||||
\(944\) | 6.17270 | + | 4.87219i | 0.200904 | + | 0.158576i | ||||
\(945\) | 19.5648 | + | 5.04227i | 0.636443 | + | 0.164025i | ||||
\(946\) | 3.00693 | + | 4.96306i | 0.0977639 | + | 0.161363i | ||||
\(947\) | 13.9583 | + | 26.1142i | 0.453584 | + | 0.848596i | 0.999939 | + | 0.0110424i | \(0.00351499\pi\) |
−0.546355 | + | 0.837554i | \(0.683985\pi\) | |||||||
\(948\) | −10.8589 | + | 31.0567i | −0.352681 | + | 1.00868i | ||||
\(949\) | 0.0689794 | + | 0.0840517i | 0.00223917 | + | 0.00272843i | ||||
\(950\) | −9.86028 | + | 2.51979i | −0.319910 | + | 0.0817529i | ||||
\(951\) | 43.4257 | − | 10.7731i | 1.40817 | − | 0.349341i | ||||
\(952\) | 34.9664 | − | 2.21851i | 1.13327 | − | 0.0719023i | ||||
\(953\) | −0.675864 | + | 3.39780i | −0.0218934 | + | 0.110065i | −0.990187 | − | 0.139750i | \(-0.955370\pi\) |
0.968293 | + | 0.249816i | \(0.0803700\pi\) | |||||||
\(954\) | −19.0093 | + | 25.6433i | −0.615449 | + | 0.830232i | ||||
\(955\) | −3.63152 | + | 6.79409i | −0.117513 | + | 0.219852i | ||||
\(956\) | −11.0801 | − | 35.3130i | −0.358357 | − | 1.14210i | ||||
\(957\) | 0.827853 | − | 0.120885i | 0.0267607 | − | 0.00390764i | ||||
\(958\) | 37.6697 | − | 34.4697i | 1.21705 | − | 1.11367i | ||||
\(959\) | 5.91043i | 0.190858i | ||||||||
\(960\) | 17.3060 | + | 12.1433i | 0.558550 | + | 0.391923i | ||||
\(961\) | 29.5763i | 0.954074i | ||||||||
\(962\) | 4.27589 | + | 4.67284i | 0.137860 | + | 0.150658i | ||||
\(963\) | 9.11872 | + | 46.9536i | 0.293847 | + | 1.51306i | ||||
\(964\) | 12.6896 | − | 24.2938i | 0.408703 | − | 0.782450i | ||||
\(965\) | 18.0592 | − | 33.7865i | 0.581348 | − | 1.08762i | ||||
\(966\) | 17.2777 | + | 14.1075i | 0.555899 | + | 0.453900i | ||||
\(967\) | 1.27316 | − | 6.40063i | 0.0409422 | − | 0.205830i | −0.954900 | − | 0.296928i | \(-0.904038\pi\) |
0.995842 | + | 0.0910982i | \(0.0290377\pi\) | |||||||
\(968\) | 9.77437 | − | 28.5981i | 0.314160 | − | 0.919176i | ||||
\(969\) | −5.45944 | − | 22.0067i | −0.175382 | − | 0.706956i | ||||
\(970\) | 9.41665 | + | 36.8486i | 0.302350 | + | 1.18314i | ||||
\(971\) | 9.83738 | + | 11.9869i | 0.315697 | + | 0.384677i | 0.906548 | − | 0.422103i | \(-0.138708\pi\) |
−0.590851 | + | 0.806781i | \(0.701208\pi\) | |||||||
\(972\) | 25.0751 | − | 18.5267i | 0.804284 | − | 0.594245i | ||||
\(973\) | 11.8801 | + | 22.2262i | 0.380860 | + | 0.712538i | ||||
\(974\) | −1.18391 | + | 0.717286i | −0.0379349 | + | 0.0229833i | ||||
\(975\) | −3.85196 | − | 1.38810i | −0.123361 | − | 0.0444549i | ||||
\(976\) | 3.11449 | − | 39.2710i | 0.0996925 | − | 1.25704i | ||||
\(977\) | 7.34089 | + | 17.7225i | 0.234856 | + | 0.566992i | 0.996736 | − | 0.0807253i | \(-0.0257237\pi\) |
−0.761880 | + | 0.647718i | \(0.775724\pi\) | |||||||
\(978\) | −24.8108 | + | 37.3332i | −0.793362 | + | 1.19378i | ||||
\(979\) | 0.844167 | + | 0.256075i | 0.0269797 | + | 0.00818420i | ||||
\(980\) | −0.869048 | − | 1.27420i | −0.0277607 | − | 0.0407029i | ||||
\(981\) | 33.1046 | + | 0.149979i | 1.05695 | + | 0.00478846i | ||||
\(982\) | 1.01095 | − | 7.04613i | 0.0322609 | − | 0.224851i | ||||
\(983\) | −7.65789 | + | 11.4608i | −0.244249 | + | 0.365544i | −0.933257 | − | 0.359210i | \(-0.883046\pi\) |
0.689008 | + | 0.724753i | \(0.258046\pi\) | |||||||
\(984\) | −27.4252 | − | 17.8523i | −0.874282 | − | 0.569109i | ||||
\(985\) | 11.7368 | − | 7.84229i | 0.373966 | − | 0.249876i | ||||
\(986\) | −5.58142 | − | 1.96716i | −0.177749 | − | 0.0626471i | ||||
\(987\) | 45.4003 | − | 16.1286i | 1.44511 | − | 0.513378i | ||||
\(988\) | 0.512168 | + | 4.73749i | 0.0162942 | + | 0.150720i | ||||
\(989\) | 16.5779 | − | 20.2002i | 0.527146 | − | 0.642329i | ||||
\(990\) | 3.28290 | − | 1.55361i | 0.104337 | − | 0.0493770i | ||||
\(991\) | −7.52724 | − | 7.52724i | −0.239111 | − | 0.239111i | 0.577371 | − | 0.816482i | \(-0.304079\pi\) |
−0.816482 | + | 0.577371i | \(0.804079\pi\) | |||||||
\(992\) | 5.70526 | − | 3.60680i | 0.181142 | − | 0.114516i | ||||
\(993\) | 2.68101 | − | 2.94461i | 0.0850793 | − | 0.0934443i | ||||
\(994\) | 34.5961 | + | 16.1617i | 1.09732 | + | 0.512619i | ||||
\(995\) | −9.63218 | + | 11.7368i | −0.305361 | + | 0.372083i | ||||
\(996\) | −6.96019 | + | 28.6670i | −0.220542 | + | 0.908348i | ||||
\(997\) | 27.2801 | − | 8.27534i | 0.863971 | − | 0.262083i | 0.172961 | − | 0.984929i | \(-0.444666\pi\) |
0.691009 | + | 0.722846i | \(0.257166\pi\) | |||||||
\(998\) | −8.60427 | − | 17.9705i | −0.272364 | − | 0.568846i | ||||
\(999\) | −17.5333 | − | 19.6112i | −0.554729 | − | 0.620471i |
(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 | 384.2.w.a.11.3 | ✓ | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.11.60 | yes | 992 | |
128.35 | odd | 32 | inner | 384.2.w.a.35.60 | yes | 992 | |
384.35 | even | 32 | inner | 384.2.w.a.35.3 | yes | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.11.3 | ✓ | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.11.60 | yes | 992 | 3.2 | odd | 2 | inner | |
384.2.w.a.35.3 | yes | 992 | 384.35 | even | 32 | inner | |
384.2.w.a.35.60 | yes | 992 | 128.35 | odd | 32 | inner |