Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (of order \(60\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.13 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.13 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.00504 | + | 0.385798i | −0.710670 | + | 0.272801i | −0.686730 | − | 0.726913i | \(-0.740954\pi\) |
−0.0239402 | + | 0.999713i | \(0.507621\pi\) | |||||||
\(3\) | 2.51527 | + | 0.264366i | 1.45219 | + | 0.152632i | 0.797526 | − | 0.603285i | \(-0.206142\pi\) |
0.654668 | + | 0.755917i | \(0.272808\pi\) | |||||||
\(4\) | −0.625026 | + | 0.562776i | −0.312513 | + | 0.281388i | ||||
\(5\) | 0.441644 | − | 0.441644i | 0.197509 | − | 0.197509i | −0.601422 | − | 0.798931i | \(-0.705399\pi\) |
0.798931 | + | 0.601422i | \(0.205399\pi\) | |||||||
\(6\) | −2.62994 | + | 0.704690i | −1.07367 | + | 0.287689i | ||||
\(7\) | 0.134189 | − | 2.56048i | 0.0507187 | − | 0.967770i | −0.848206 | − | 0.529667i | \(-0.822317\pi\) |
0.898925 | − | 0.438103i | \(-0.144350\pi\) | |||||||
\(8\) | 1.38854 | − | 2.72516i | 0.490922 | − | 0.963489i | ||||
\(9\) | 3.32227 | + | 0.706170i | 1.10742 | + | 0.235390i | ||||
\(10\) | −0.273484 | + | 0.614254i | −0.0864831 | + | 0.194244i | ||||
\(11\) | 1.39716 | − | 2.15144i | 0.421259 | − | 0.648682i | −0.562786 | − | 0.826603i | \(-0.690270\pi\) |
0.984045 | + | 0.177921i | \(0.0569371\pi\) | |||||||
\(12\) | −1.72089 | + | 1.25030i | −0.496778 | + | 0.360931i | ||||
\(13\) | 1.21160 | − | 3.39588i | 0.336038 | − | 0.941849i | ||||
\(14\) | 0.852963 | + | 2.62515i | 0.227964 | + | 0.701601i | ||||
\(15\) | 1.22761 | − | 0.994099i | 0.316967 | − | 0.256675i | ||||
\(16\) | −0.168344 | + | 1.60169i | −0.0420861 | + | 0.400423i | ||||
\(17\) | 1.88489 | + | 0.400645i | 0.457152 | + | 0.0971707i | 0.430731 | − | 0.902480i | \(-0.358256\pi\) |
0.0264209 | + | 0.999651i | \(0.491589\pi\) | |||||||
\(18\) | −3.61145 | + | 0.571997i | −0.851227 | + | 0.134821i | ||||
\(19\) | 3.72589 | + | 3.01717i | 0.854778 | + | 0.692186i | 0.952997 | − | 0.302979i | \(-0.0979812\pi\) |
−0.0982189 | + | 0.995165i | \(0.531315\pi\) | |||||||
\(20\) | −0.0274924 | + | 0.524585i | −0.00614748 | + | 0.117301i | ||||
\(21\) | 1.01443 | − | 6.40483i | 0.221366 | − | 1.39765i | ||||
\(22\) | −0.574179 | + | 2.70130i | −0.122415 | + | 0.575919i | ||||
\(23\) | −0.768136 | + | 0.853102i | −0.160168 | + | 0.177884i | −0.817887 | − | 0.575379i | \(-0.804855\pi\) |
0.657719 | + | 0.753263i | \(0.271521\pi\) | |||||||
\(24\) | 4.21299 | − | 6.48744i | 0.859973 | − | 1.32424i | ||||
\(25\) | 4.60990i | 0.921980i | ||||||||
\(26\) | 0.0924197 | + | 3.88043i | 0.0181250 | + | 0.761015i | ||||
\(27\) | 0.953693 | + | 0.309874i | 0.183538 | + | 0.0596352i | ||||
\(28\) | 1.35710 | + | 1.67588i | 0.256469 | + | 0.316712i | ||||
\(29\) | −1.79088 | + | 4.02239i | −0.332559 | + | 0.746939i | 0.667439 | + | 0.744665i | \(0.267391\pi\) |
−0.999997 | + | 0.00227409i | \(0.999276\pi\) | |||||||
\(30\) | −0.850274 | + | 1.47272i | −0.155238 | + | 0.268880i | ||||
\(31\) | −3.66814 | + | 4.18865i | −0.658817 | + | 0.752303i | ||||
\(32\) | 1.13447 | + | 4.23389i | 0.200548 | + | 0.748454i | ||||
\(33\) | 4.08300 | − | 5.04209i | 0.710759 | − | 0.877715i | ||||
\(34\) | −2.04895 | + | 0.324522i | −0.351393 | + | 0.0556551i | ||||
\(35\) | −1.07156 | − | 1.19008i | −0.181126 | − | 0.201161i | ||||
\(36\) | −2.47392 | + | 1.42832i | −0.412320 | + | 0.238053i | ||||
\(37\) | −10.8146 | − | 2.89775i | −1.77790 | − | 0.476387i | −0.787703 | − | 0.616055i | \(-0.788730\pi\) |
−0.990198 | + | 0.139668i | \(0.955396\pi\) | |||||||
\(38\) | −4.90869 | − | 1.59493i | −0.796294 | − | 0.258732i | ||||
\(39\) | 3.94526 | − | 8.22127i | 0.631748 | − | 1.31646i | ||||
\(40\) | −0.590310 | − | 1.81679i | −0.0933362 | − | 0.287259i | ||||
\(41\) | 7.02646 | − | 2.69721i | 1.09735 | − | 0.421233i | 0.258729 | − | 0.965950i | \(-0.416696\pi\) |
0.838620 | + | 0.544717i | \(0.183363\pi\) | |||||||
\(42\) | 1.45144 | + | 6.82847i | 0.223961 | + | 1.05366i | ||||
\(43\) | −0.711294 | − | 6.76751i | −0.108471 | − | 1.03204i | −0.904412 | − | 0.426661i | \(-0.859690\pi\) |
0.795940 | − | 0.605375i | \(-0.206977\pi\) | |||||||
\(44\) | 0.337516 | + | 2.13099i | 0.0508824 | + | 0.321259i | ||||
\(45\) | 1.77913 | − | 1.15538i | 0.265218 | − | 0.172234i | ||||
\(46\) | 0.442882 | − | 1.15375i | 0.0652994 | − | 0.170111i | ||||
\(47\) | 0.805313 | + | 5.08454i | 0.117467 | + | 0.741657i | 0.974165 | + | 0.225838i | \(0.0725122\pi\) |
−0.856698 | + | 0.515819i | \(0.827488\pi\) | |||||||
\(48\) | −0.846865 | + | 3.98419i | −0.122234 | + | 0.575068i | ||||
\(49\) | 0.423610 | + | 0.0445232i | 0.0605158 | + | 0.00636046i | ||||
\(50\) | −1.77849 | − | 4.63313i | −0.251517 | − | 0.655224i | ||||
\(51\) | 4.63509 | + | 1.50603i | 0.649042 | + | 0.210887i | ||||
\(52\) | 1.15384 | + | 2.80438i | 0.160009 | + | 0.388897i | ||||
\(53\) | −6.95970 | + | 2.26134i | −0.955989 | + | 0.310620i | −0.745147 | − | 0.666901i | \(-0.767621\pi\) |
−0.210842 | + | 0.977520i | \(0.567621\pi\) | |||||||
\(54\) | −1.07805 | + | 0.0564981i | −0.146704 | + | 0.00768841i | ||||
\(55\) | −0.333122 | − | 1.56721i | −0.0449181 | − | 0.211323i | ||||
\(56\) | −6.79139 | − | 3.92101i | −0.907537 | − | 0.523967i | ||||
\(57\) | 8.57400 | + | 8.57400i | 1.13565 | + | 1.13565i | ||||
\(58\) | 0.248076 | − | 4.73358i | 0.0325740 | − | 0.621549i | ||||
\(59\) | 9.32490 | + | 3.57949i | 1.21400 | + | 0.466010i | 0.879279 | − | 0.476308i | \(-0.158025\pi\) |
0.334719 | + | 0.942318i | \(0.391358\pi\) | |||||||
\(60\) | −0.207833 | + | 1.31221i | −0.0268312 | + | 0.169405i | ||||
\(61\) | 2.38397 | + | 1.37638i | 0.305236 | + | 0.176228i | 0.644792 | − | 0.764358i | \(-0.276944\pi\) |
−0.339557 | + | 0.940586i | \(0.610277\pi\) | |||||||
\(62\) | 2.07065 | − | 5.62492i | 0.262973 | − | 0.714365i | ||||
\(63\) | 2.25394 | − | 8.41183i | 0.283970 | − | 1.05979i | ||||
\(64\) | −4.66689 | − | 6.42342i | −0.583361 | − | 0.802927i | ||||
\(65\) | −0.964674 | − | 2.03487i | −0.119653 | − | 0.252394i | ||||
\(66\) | −2.15835 | + | 6.64271i | −0.265674 | + | 0.817661i | ||||
\(67\) | 2.25154 | + | 0.603299i | 0.275070 | + | 0.0737047i | 0.393717 | − | 0.919232i | \(-0.371189\pi\) |
−0.118647 | + | 0.992936i | \(0.537856\pi\) | |||||||
\(68\) | −1.40358 | + | 0.810356i | −0.170209 | + | 0.0982701i | ||||
\(69\) | −2.15760 | + | 1.94272i | −0.259745 | + | 0.233875i | ||||
\(70\) | 1.53609 | + | 0.782675i | 0.183597 | + | 0.0935476i | ||||
\(71\) | 10.9456 | − | 7.10817i | 1.29901 | − | 0.843585i | 0.304941 | − | 0.952371i | \(-0.401363\pi\) |
0.994065 | + | 0.108786i | \(0.0346964\pi\) | |||||||
\(72\) | 6.53752 | − | 8.07317i | 0.770454 | − | 0.951432i | ||||
\(73\) | −1.20907 | − | 2.37293i | −0.141511 | − | 0.277730i | 0.809364 | − | 0.587308i | \(-0.199812\pi\) |
−0.950874 | + | 0.309578i | \(0.899812\pi\) | |||||||
\(74\) | 11.9870 | − | 1.25988i | 1.39346 | − | 0.146459i | ||||
\(75\) | −1.21870 | + | 11.5952i | −0.140723 | + | 1.33889i | ||||
\(76\) | −4.02677 | + | 0.211034i | −0.461902 | + | 0.0242073i | ||||
\(77\) | −5.32122 | − | 3.86609i | −0.606409 | − | 0.440582i | ||||
\(78\) | −0.793392 | + | 9.78477i | −0.0898340 | + | 1.10791i | ||||
\(79\) | −8.30442 | + | 2.69827i | −0.934320 | + | 0.303579i | −0.736328 | − | 0.676625i | \(-0.763442\pi\) |
−0.197992 | + | 0.980204i | \(0.563442\pi\) | |||||||
\(80\) | 0.633028 | + | 0.781725i | 0.0707747 | + | 0.0873995i | ||||
\(81\) | −6.99166 | − | 3.11289i | −0.776852 | − | 0.345877i | ||||
\(82\) | −6.02129 | + | 5.42159i | −0.664940 | + | 0.598715i | ||||
\(83\) | −4.74017 | − | 0.750770i | −0.520302 | − | 0.0824077i | −0.109240 | − | 0.994015i | \(-0.534842\pi\) |
−0.411061 | + | 0.911608i | \(0.634842\pi\) | |||||||
\(84\) | 2.97044 | + | 4.57408i | 0.324102 | + | 0.499073i | ||||
\(85\) | 1.00939 | − | 0.655506i | 0.109484 | − | 0.0710996i | ||||
\(86\) | 3.32577 | + | 6.52720i | 0.358627 | + | 0.703846i | ||||
\(87\) | −5.56794 | + | 9.64396i | −0.596946 | + | 1.03394i | ||||
\(88\) | −3.92300 | − | 6.79483i | −0.418193 | − | 0.724331i | ||||
\(89\) | 6.04753 | − | 9.31238i | 0.641037 | − | 0.987110i | −0.357546 | − | 0.933895i | \(-0.616387\pi\) |
0.998583 | − | 0.0532148i | \(-0.0169468\pi\) | |||||||
\(90\) | −1.34235 | + | 1.84759i | −0.141497 | + | 0.194753i | ||||
\(91\) | −8.53250 | − | 3.55797i | −0.894449 | − | 0.372976i | ||||
\(92\) | − | 0.965500i | − | 0.100660i | ||||||
\(93\) | −10.3337 | + | 9.56586i | −1.07156 | + | 0.991934i | ||||
\(94\) | −2.77098 | − | 4.79948i | −0.285805 | − | 0.495028i | ||||
\(95\) | 2.97803 | − | 0.313004i | 0.305539 | − | 0.0321135i | ||||
\(96\) | 1.73420 | + | 10.9493i | 0.176996 | + | 1.11751i | ||||
\(97\) | −13.8730 | − | 0.727055i | −1.40859 | − | 0.0738212i | −0.667193 | − | 0.744885i | \(-0.732504\pi\) |
−0.741400 | + | 0.671064i | \(0.765838\pi\) | |||||||
\(98\) | −0.442922 | + | 0.118681i | −0.0447419 | + | 0.0119885i | ||||
\(99\) | 6.16101 | − | 6.16101i | 0.619205 | − | 0.619205i | ||||
\(100\) | −2.59434 | − | 2.88131i | −0.259434 | − | 0.288131i | ||||
\(101\) | 6.98628 | + | 6.29048i | 0.695161 | + | 0.625926i | 0.939011 | − | 0.343887i | \(-0.111744\pi\) |
−0.243850 | + | 0.969813i | \(0.578410\pi\) | |||||||
\(102\) | −5.23947 | + | 0.274589i | −0.518785 | + | 0.0271884i | ||||
\(103\) | −6.79361 | − | 9.35061i | −0.669395 | − | 0.921343i | 0.330352 | − | 0.943858i | \(-0.392833\pi\) |
−0.999747 | + | 0.0225152i | \(0.992833\pi\) | |||||||
\(104\) | −7.57197 | − | 8.01712i | −0.742493 | − | 0.786143i | ||||
\(105\) | −2.38064 | − | 3.27667i | −0.232326 | − | 0.319770i | ||||
\(106\) | 6.12235 | − | 4.95778i | 0.594655 | − | 0.481542i | ||||
\(107\) | −11.4673 | + | 12.7358i | −1.10859 | + | 1.23121i | −0.138011 | + | 0.990431i | \(0.544071\pi\) |
−0.970579 | + | 0.240783i | \(0.922596\pi\) | |||||||
\(108\) | −0.770473 | + | 0.343037i | −0.0741388 | + | 0.0330087i | ||||
\(109\) | −14.0598 | + | 2.22686i | −1.34669 | + | 0.213294i | −0.787790 | − | 0.615944i | \(-0.788775\pi\) |
−0.558896 | + | 0.829238i | \(0.688775\pi\) | |||||||
\(110\) | 0.939429 | + | 1.44659i | 0.0895710 | + | 0.137927i | ||||
\(111\) | −26.4355 | − | 10.1476i | −2.50915 | − | 0.963171i | ||||
\(112\) | 4.07850 | + | 0.645972i | 0.385382 | + | 0.0610386i | ||||
\(113\) | 8.39855 | + | 9.32753i | 0.790069 | + | 0.877461i | 0.994851 | − | 0.101347i | \(-0.0323152\pi\) |
−0.204782 | + | 0.978808i | \(0.565649\pi\) | |||||||
\(114\) | −11.9250 | − | 5.30937i | −1.11688 | − | 0.497268i | ||||
\(115\) | 0.0375245 | + | 0.716009i | 0.00349917 | + | 0.0667682i | ||||
\(116\) | −1.14436 | − | 3.52196i | −0.106251 | − | 0.327006i | ||||
\(117\) | 6.42333 | − | 10.4264i | 0.593837 | − | 0.963924i | ||||
\(118\) | −10.7528 | −0.989880 | ||||||||
\(119\) | 1.27877 | − | 4.77245i | 0.117225 | − | 0.437490i | ||||
\(120\) | −1.00449 | − | 4.72578i | −0.0916974 | − | 0.431402i | ||||
\(121\) | 1.79748 | + | 4.03721i | 0.163407 | + | 0.367019i | ||||
\(122\) | −2.92699 | − | 0.463589i | −0.264997 | − | 0.0419714i | ||||
\(123\) | 18.3865 | − | 4.92665i | 1.65786 | − | 0.444221i | ||||
\(124\) | −0.0645890 | − | 4.68236i | −0.00580027 | − | 0.420488i | ||||
\(125\) | 4.24415 | + | 4.24415i | 0.379608 | + | 0.379608i | ||||
\(126\) | 0.979970 | + | 9.32379i | 0.0873027 | + | 0.830629i | ||||
\(127\) | −1.31198 | + | 12.4826i | −0.116419 | + | 1.10765i | 0.767835 | + | 0.640647i | \(0.221334\pi\) |
−0.884254 | + | 0.467005i | \(0.845333\pi\) | |||||||
\(128\) | −0.183656 | − | 0.119267i | −0.0162330 | − | 0.0105419i | ||||
\(129\) | − | 17.2102i | − | 1.51527i | ||||||
\(130\) | 1.75458 | + | 1.67295i | 0.153887 | + | 0.146727i | ||||
\(131\) | −0.752047 | + | 2.31456i | −0.0657066 | + | 0.202224i | −0.978520 | − | 0.206154i | \(-0.933905\pi\) |
0.912813 | + | 0.408378i | \(0.133905\pi\) | |||||||
\(132\) | 0.285583 | + | 5.44925i | 0.0248568 | + | 0.474297i | ||||
\(133\) | 8.22537 | − | 9.13520i | 0.713230 | − | 0.792122i | ||||
\(134\) | −2.49564 | + | 0.262302i | −0.215590 | + | 0.0226595i | ||||
\(135\) | 0.558046 | − | 0.284339i | 0.0480290 | − | 0.0244720i | ||||
\(136\) | 3.70906 | − | 4.58031i | 0.318049 | − | 0.392758i | ||||
\(137\) | −3.09328 | + | 8.05827i | −0.264277 | + | 0.688464i | 0.735662 | + | 0.677349i | \(0.236871\pi\) |
−0.999938 | + | 0.0111150i | \(0.996462\pi\) | |||||||
\(138\) | 1.41898 | − | 2.78491i | 0.120792 | − | 0.237067i | ||||
\(139\) | −3.51003 | − | 7.88366i | −0.297717 | − | 0.668683i | 0.701307 | − | 0.712859i | \(-0.252600\pi\) |
−0.999024 | + | 0.0441765i | \(0.985934\pi\) | |||||||
\(140\) | 1.33950 | + | 0.140787i | 0.113208 | + | 0.0118987i | ||||
\(141\) | 0.681402 | + | 13.0019i | 0.0573844 | + | 1.09496i | ||||
\(142\) | −8.25846 | + | 11.3668i | −0.693035 | + | 0.953880i | ||||
\(143\) | −5.61322 | − | 7.35127i | −0.469401 | − | 0.614744i | ||||
\(144\) | −1.69035 | + | 5.20237i | −0.140863 | + | 0.433531i | ||||
\(145\) | 0.985530 | + | 2.56739i | 0.0818438 | + | 0.213210i | ||||
\(146\) | 2.13063 | + | 1.91843i | 0.176332 | + | 0.158770i | ||||
\(147\) | 1.05373 | + | 0.223976i | 0.0869098 | + | 0.0184732i | ||||
\(148\) | 8.39016 | − | 4.27500i | 0.689667 | − | 0.351403i | ||||
\(149\) | 2.22684 | + | 8.31067i | 0.182430 | + | 0.680837i | 0.995166 | + | 0.0982054i | \(0.0313102\pi\) |
−0.812736 | + | 0.582631i | \(0.802023\pi\) | |||||||
\(150\) | −3.24855 | − | 12.1238i | −0.265243 | − | 0.989901i | ||||
\(151\) | 4.76290 | + | 9.34772i | 0.387599 | + | 0.760707i | 0.999544 | − | 0.0301940i | \(-0.00961251\pi\) |
−0.611945 | + | 0.790901i | \(0.709613\pi\) | |||||||
\(152\) | 13.3958 | − | 5.96420i | 1.08654 | − | 0.483760i | ||||
\(153\) | 5.97918 | + | 2.66210i | 0.483388 | + | 0.215218i | ||||
\(154\) | 6.83957 | + | 1.83266i | 0.551148 | + | 0.147680i | ||||
\(155\) | 0.229880 | + | 3.46990i | 0.0184644 | + | 0.278709i | ||||
\(156\) | 2.16084 | + | 7.35881i | 0.173006 | + | 0.589176i | ||||
\(157\) | 1.12311 | − | 0.815984i | 0.0896336 | − | 0.0651226i | −0.542066 | − | 0.840336i | \(-0.682358\pi\) |
0.631699 | + | 0.775213i | \(0.282358\pi\) | |||||||
\(158\) | 7.30528 | − | 5.91570i | 0.581177 | − | 0.470628i | ||||
\(159\) | −18.1034 | + | 3.84799i | −1.43569 | + | 0.305166i | ||||
\(160\) | 2.37090 | + | 1.36884i | 0.187436 | + | 0.108216i | ||||
\(161\) | 2.08127 | + | 2.08127i | 0.164027 | + | 0.164027i | ||||
\(162\) | 8.22784 | + | 0.431203i | 0.646440 | + | 0.0338785i | ||||
\(163\) | −5.52787 | − | 8.51217i | −0.432976 | − | 0.666724i | 0.553082 | − | 0.833127i | \(-0.313452\pi\) |
−0.986058 | + | 0.166402i | \(0.946785\pi\) | |||||||
\(164\) | −2.87380 | + | 5.64015i | −0.224406 | + | 0.440422i | ||||
\(165\) | −0.423574 | − | 4.03004i | −0.0329752 | − | 0.313738i | ||||
\(166\) | 5.05371 | − | 1.07420i | 0.392244 | − | 0.0833740i | ||||
\(167\) | −0.0262325 | + | 0.0100697i | −0.00202993 | + | 0.000779219i | −0.359383 | − | 0.933190i | \(-0.617013\pi\) |
0.357353 | + | 0.933969i | \(0.383679\pi\) | |||||||
\(168\) | −16.0456 | − | 11.6578i | −1.23795 | − | 0.899420i | ||||
\(169\) | −10.0640 | − | 8.22891i | −0.774157 | − | 0.632993i | ||||
\(170\) | −0.761584 | + | 1.04823i | −0.0584108 | + | 0.0803956i | ||||
\(171\) | 10.2478 | + | 12.6550i | 0.783667 | + | 0.967748i | ||||
\(172\) | 4.25317 | + | 3.82957i | 0.324301 | + | 0.292002i | ||||
\(173\) | 5.30313 | + | 11.9110i | 0.403190 | + | 0.905579i | 0.995035 | + | 0.0995273i | \(0.0317331\pi\) |
−0.591845 | + | 0.806052i | \(0.701600\pi\) | |||||||
\(174\) | 1.87538 | − | 11.8407i | 0.142172 | − | 0.897638i | ||||
\(175\) | 11.8036 | + | 0.618598i | 0.892265 | + | 0.0467616i | ||||
\(176\) | 3.21073 | + | 2.60000i | 0.242018 | + | 0.195982i | ||||
\(177\) | 22.5084 | + | 11.4686i | 1.69183 | + | 0.862032i | ||||
\(178\) | −2.48530 | + | 11.6924i | −0.186281 | + | 0.876385i | ||||
\(179\) | 4.60019 | − | 0.977801i | 0.343834 | − | 0.0730843i | −0.0327580 | − | 0.999463i | \(-0.510429\pi\) |
0.376592 | + | 0.926379i | \(0.377096\pi\) | |||||||
\(180\) | −0.461783 | + | 1.72340i | −0.0344193 | + | 0.128455i | ||||
\(181\) | 0.729746 | 0.0542416 | 0.0271208 | − | 0.999632i | \(-0.491366\pi\) | ||||
0.0271208 | + | 0.999632i | \(0.491366\pi\) | |||||||
\(182\) | 9.94816 | + | 0.284072i | 0.737406 | + | 0.0210568i | ||||
\(183\) | 5.63246 | + | 4.09222i | 0.416363 | + | 0.302506i | ||||
\(184\) | 1.25825 | + | 3.27786i | 0.0927596 | + | 0.241647i | ||||
\(185\) | −6.05595 | + | 3.49640i | −0.445242 | + | 0.257061i | ||||
\(186\) | 6.69528 | − | 13.6008i | 0.490922 | − | 0.997259i | ||||
\(187\) | 3.49545 | − | 3.49545i | 0.255612 | − | 0.255612i | ||||
\(188\) | −3.36480 | − | 2.72476i | −0.245403 | − | 0.198724i | ||||
\(189\) | 0.921400 | − | 2.40033i | 0.0670220 | − | 0.174598i | ||||
\(190\) | −2.87228 | + | 1.46350i | −0.208377 | + | 0.106173i | ||||
\(191\) | −0.308568 | + | 0.534456i | −0.0223272 | + | 0.0386719i | −0.876973 | − | 0.480539i | \(-0.840441\pi\) |
0.854646 | + | 0.519211i | \(0.173774\pi\) | |||||||
\(192\) | −10.0404 | − | 17.3904i | −0.724601 | − | 1.25505i | ||||
\(193\) | −7.82758 | − | 5.08329i | −0.563442 | − | 0.365903i | 0.231271 | − | 0.972889i | \(-0.425712\pi\) |
−0.794712 | + | 0.606986i | \(0.792378\pi\) | |||||||
\(194\) | 14.2234 | − | 4.62147i | 1.02118 | − | 0.331802i | ||||
\(195\) | −1.88847 | − | 5.37327i | −0.135236 | − | 0.384788i | ||||
\(196\) | −0.289824 | + | 0.210570i | −0.0207017 | + | 0.0150407i | ||||
\(197\) | −10.3661 | − | 6.73179i | −0.738551 | − | 0.479621i | 0.119726 | − | 0.992807i | \(-0.461798\pi\) |
−0.858277 | + | 0.513186i | \(0.828465\pi\) | |||||||
\(198\) | −3.81515 | + | 8.56897i | −0.271131 | + | 0.608970i | ||||
\(199\) | −0.848876 | + | 0.377944i | −0.0601753 | + | 0.0267917i | −0.436604 | − | 0.899654i | \(-0.643819\pi\) |
0.376428 | + | 0.926446i | \(0.377152\pi\) | |||||||
\(200\) | 12.5627 | + | 6.40102i | 0.888318 | + | 0.452621i | ||||
\(201\) | 5.50375 | + | 2.11269i | 0.388205 | + | 0.149018i | ||||
\(202\) | −9.44834 | − | 3.62688i | −0.664783 | − | 0.255186i | ||||
\(203\) | 10.0589 | + | 5.12528i | 0.705998 | + | 0.359724i | ||||
\(204\) | −3.74461 | + | 1.66721i | −0.262175 | + | 0.116728i | ||||
\(205\) | 1.91199 | − | 4.29439i | 0.133539 | − | 0.299934i | ||||
\(206\) | 10.4353 | + | 6.77676i | 0.727062 | + | 0.472159i | ||||
\(207\) | −3.15439 | + | 2.29180i | −0.219245 | + | 0.159291i | ||||
\(208\) | 5.23519 | + | 2.51229i | 0.362995 | + | 0.174196i | ||||
\(209\) | 11.6969 | − | 3.80055i | 0.809092 | − | 0.262890i | ||||
\(210\) | 3.65677 | + | 2.37473i | 0.252341 | + | 0.163872i | ||||
\(211\) | 6.41195 | + | 11.1058i | 0.441417 | + | 0.764556i | 0.997795 | − | 0.0663732i | \(-0.0211428\pi\) |
−0.556378 | + | 0.830929i | \(0.687809\pi\) | |||||||
\(212\) | 3.07737 | − | 5.33016i | 0.211354 | − | 0.366077i | ||||
\(213\) | 29.4104 | − | 14.9853i | 2.01517 | − | 1.02678i | ||||
\(214\) | 6.61169 | − | 17.2240i | 0.451966 | − | 1.17741i | ||||
\(215\) | −3.30297 | − | 2.67469i | −0.225261 | − | 0.182412i | ||||
\(216\) | 2.16869 | − | 2.16869i | 0.147561 | − | 0.147561i | ||||
\(217\) | 10.2327 | + | 9.95426i | 0.694642 | + | 0.675739i | ||||
\(218\) | 13.2715 | − | 7.66233i | 0.898863 | − | 0.518959i | ||||
\(219\) | −2.41381 | − | 6.28820i | −0.163110 | − | 0.424917i | ||||
\(220\) | 1.09020 | + | 0.792077i | 0.0735013 | + | 0.0534018i | ||||
\(221\) | 3.64427 | − | 5.91543i | 0.245140 | − | 0.397915i | ||||
\(222\) | 30.4836 | 2.04593 | ||||||||
\(223\) | −3.14622 | + | 11.7419i | −0.210687 | + | 0.786293i | 0.776954 | + | 0.629557i | \(0.216764\pi\) |
−0.987641 | + | 0.156736i | \(0.949903\pi\) | |||||||
\(224\) | 10.9930 | − | 2.33664i | 0.734502 | − | 0.156123i | ||||
\(225\) | −3.25537 | + | 15.3153i | −0.217025 | + | 1.02102i | ||||
\(226\) | −12.0394 | − | 6.13439i | −0.800850 | − | 0.408054i | ||||
\(227\) | 5.82518 | + | 4.71714i | 0.386631 | + | 0.313088i | 0.802855 | − | 0.596175i | \(-0.203313\pi\) |
−0.416224 | + | 0.909262i | \(0.636647\pi\) | |||||||
\(228\) | −10.1842 | − | 0.533732i | −0.674466 | − | 0.0353473i | ||||
\(229\) | 1.68184 | − | 10.6187i | 0.111139 | − | 0.701705i | −0.867702 | − | 0.497084i | \(-0.834404\pi\) |
0.978841 | − | 0.204620i | \(-0.0655960\pi\) | |||||||
\(230\) | −0.313949 | − | 0.705141i | −0.0207012 | − | 0.0464956i | ||||
\(231\) | −12.3623 | − | 11.1310i | −0.813377 | − | 0.732368i | ||||
\(232\) | 8.47494 | + | 10.4657i | 0.556407 | + | 0.687105i | ||||
\(233\) | 15.1059 | − | 20.7915i | 0.989622 | − | 1.36210i | 0.0581404 | − | 0.998308i | \(-0.481483\pi\) |
0.931481 | − | 0.363789i | \(-0.118517\pi\) | |||||||
\(234\) | −2.43320 | + | 12.9571i | −0.159063 | + | 0.847031i | ||||
\(235\) | 2.60122 | + | 1.88990i | 0.169685 | + | 0.123283i | ||||
\(236\) | −7.84276 | + | 3.01055i | −0.510520 | + | 0.195970i | ||||
\(237\) | −21.6012 | + | 4.59148i | −1.40315 | + | 0.298249i | ||||
\(238\) | 0.555985 | + | 5.28985i | 0.0360392 | + | 0.342890i | ||||
\(239\) | −4.41747 | + | 8.66978i | −0.285743 | + | 0.560802i | −0.988607 | − | 0.150523i | \(-0.951904\pi\) |
0.702864 | + | 0.711324i | \(0.251904\pi\) | |||||||
\(240\) | 1.38558 | + | 2.13360i | 0.0894387 | + | 0.137723i | ||||
\(241\) | 17.8584 | + | 0.935919i | 1.15036 | + | 0.0602878i | 0.617963 | − | 0.786207i | \(-0.287958\pi\) |
0.532397 | + | 0.846495i | \(0.321291\pi\) | |||||||
\(242\) | −3.36409 | − | 3.36409i | −0.216252 | − | 0.216252i | ||||
\(243\) | −19.3683 | − | 11.1823i | −1.24248 | − | 0.717344i | ||||
\(244\) | −2.26464 | + | 0.481364i | −0.144979 | + | 0.0308161i | ||||
\(245\) | 0.206748 | − | 0.167421i | 0.0132087 | − | 0.0106962i | ||||
\(246\) | −16.5785 | + | 12.0450i | −1.05701 | + | 0.767959i | ||||
\(247\) | 14.7602 | − | 8.99709i | 0.939172 | − | 0.572471i | ||||
\(248\) | 6.32138 | + | 15.8124i | 0.401408 | + | 1.00409i | ||||
\(249\) | −11.7244 | − | 3.14153i | −0.743001 | − | 0.199086i | ||||
\(250\) | −5.90293 | − | 2.62815i | −0.373334 | − | 0.166219i | ||||
\(251\) | −0.767820 | + | 0.341855i | −0.0484643 | + | 0.0215777i | −0.430826 | − | 0.902435i | \(-0.641778\pi\) |
0.382361 | + | 0.924013i | \(0.375111\pi\) | |||||||
\(252\) | 3.32521 | + | 6.52608i | 0.209468 | + | 0.411105i | ||||
\(253\) | 0.762185 | + | 2.84451i | 0.0479182 | + | 0.178833i | ||||
\(254\) | −3.49718 | − | 13.0517i | −0.219433 | − | 0.818935i | ||||
\(255\) | 2.71219 | − | 1.38193i | 0.169844 | − | 0.0865397i | ||||
\(256\) | 15.7632 | + | 3.35056i | 0.985197 | + | 0.209410i | ||||
\(257\) | 7.01930 | + | 6.32021i | 0.437852 | + | 0.394244i | 0.858362 | − | 0.513044i | \(-0.171482\pi\) |
−0.420510 | + | 0.907288i | \(0.638149\pi\) | |||||||
\(258\) | 6.63966 | + | 17.2969i | 0.413367 | + | 1.07686i | ||||
\(259\) | −8.87082 | + | 27.3016i | −0.551206 | + | 1.69644i | ||||
\(260\) | 1.74812 | + | 0.728949i | 0.108414 | + | 0.0452075i | ||||
\(261\) | −8.79028 | + | 12.0988i | −0.544105 | + | 0.748896i | ||||
\(262\) | −0.137118 | − | 2.61636i | −0.00847117 | − | 0.161640i | ||||
\(263\) | −9.23346 | − | 0.970476i | −0.569360 | − | 0.0598421i | −0.184525 | − | 0.982828i | \(-0.559075\pi\) |
−0.384834 | + | 0.922986i | \(0.625741\pi\) | |||||||
\(264\) | −8.07109 | − | 18.1280i | −0.496741 | − | 1.11570i | ||||
\(265\) | −2.07500 | + | 4.07242i | −0.127466 | + | 0.250167i | ||||
\(266\) | −4.74247 | + | 12.3546i | −0.290780 | + | 0.757507i | ||||
\(267\) | 17.6731 | − | 21.8244i | 1.08157 | − | 1.33563i | ||||
\(268\) | −1.74680 | + | 0.890037i | −0.106703 | + | 0.0543676i | ||||
\(269\) | 14.2075 | − | 1.49327i | 0.866248 | − | 0.0910463i | 0.339029 | − | 0.940776i | \(-0.389902\pi\) |
0.527219 | + | 0.849730i | \(0.323235\pi\) | |||||||
\(270\) | −0.451161 | + | 0.501065i | −0.0274568 | + | 0.0304938i | ||||
\(271\) | −0.0463589 | − | 0.884580i | −0.00281610 | − | 0.0537344i | 0.996860 | − | 0.0791842i | \(-0.0252315\pi\) |
−0.999676 | + | 0.0254498i | \(0.991898\pi\) | |||||||
\(272\) | −0.959020 | + | 2.95156i | −0.0581491 | + | 0.178965i | ||||
\(273\) | −20.5210 | − | 11.2050i | −1.24199 | − | 0.678155i | ||||
\(274\) | − | 9.29226i | − | 0.561366i | ||||||
\(275\) | 9.91790 | + | 6.44076i | 0.598072 | + | 0.388393i | ||||
\(276\) | 0.255245 | − | 2.42850i | 0.0153640 | − | 0.146178i | ||||
\(277\) | −1.77921 | − | 16.9281i | −0.106902 | − | 1.01711i | −0.908113 | − | 0.418726i | \(-0.862477\pi\) |
0.801210 | − | 0.598383i | \(-0.204190\pi\) | |||||||
\(278\) | 6.56922 | + | 6.56922i | 0.393996 | + | 0.393996i | ||||
\(279\) | −15.1444 | + | 11.3255i | −0.906673 | + | 0.678039i | ||||
\(280\) | −4.73106 | + | 1.26768i | −0.282735 | + | 0.0757586i | ||||
\(281\) | −16.1168 | − | 2.55264i | −0.961445 | − | 0.152278i | −0.344067 | − | 0.938945i | \(-0.611805\pi\) |
−0.617378 | + | 0.786667i | \(0.711805\pi\) | |||||||
\(282\) | −5.70095 | − | 12.8046i | −0.339487 | − | 0.762500i | ||||
\(283\) | 6.12520 | + | 28.8168i | 0.364106 | + | 1.71298i | 0.654489 | + | 0.756072i | \(0.272884\pi\) |
−0.290383 | + | 0.956911i | \(0.593783\pi\) | |||||||
\(284\) | −2.84099 | + | 10.6027i | −0.168582 | + | 0.629156i | ||||
\(285\) | 7.57331 | 0.448604 | ||||||||
\(286\) | 8.47762 | + | 5.22274i | 0.501292 | + | 0.308827i | ||||
\(287\) | −5.96326 | − | 18.3530i | −0.352000 | − | 1.08335i | ||||
\(288\) | 0.779160 | + | 14.8673i | 0.0459124 | + | 0.876061i | ||||
\(289\) | −12.1380 | − | 5.40418i | −0.713999 | − | 0.317893i | ||||
\(290\) | −1.98099 | − | 2.20012i | −0.116328 | − | 0.129195i | ||||
\(291\) | −34.7023 | − | 5.49630i | −2.03428 | − | 0.322199i | ||||
\(292\) | 2.09113 | + | 0.802708i | 0.122374 | + | 0.0469749i | ||||
\(293\) | −17.7043 | − | 27.2623i | −1.03430 | − | 1.59268i | −0.780228 | − | 0.625495i | \(-0.784897\pi\) |
−0.254070 | − | 0.967186i | \(-0.581769\pi\) | |||||||
\(294\) | −1.14544 | + | 0.181421i | −0.0668037 | + | 0.0105807i | ||||
\(295\) | 5.69914 | − | 2.53742i | 0.331817 | − | 0.147734i | ||||
\(296\) | −22.9132 | + | 25.4477i | −1.33181 | + | 1.47912i | ||||
\(297\) | 1.99913 | − | 1.61887i | 0.116001 | − | 0.0939361i | ||||
\(298\) | −5.44430 | − | 7.49344i | −0.315380 | − | 0.434083i | ||||
\(299\) | 1.96636 | + | 3.64212i | 0.113718 | + | 0.210629i | ||||
\(300\) | −5.76376 | − | 7.93314i | −0.332771 | − | 0.458020i | ||||
\(301\) | −17.4235 | + | 0.913128i | −1.00427 | + | 0.0526318i | ||||
\(302\) | −8.39324 | − | 7.55730i | −0.482976 | − | 0.434874i | ||||
\(303\) | 15.9094 | + | 17.6692i | 0.913972 | + | 1.01507i | ||||
\(304\) | −5.45980 | + | 5.45980i | −0.313141 | + | 0.313141i | ||||
\(305\) | 1.66073 | − | 0.444992i | 0.0950934 | − | 0.0254802i | ||||
\(306\) | −7.03634 | − | 0.368759i | −0.402241 | − | 0.0210805i | ||||
\(307\) | −1.42032 | − | 8.96753i | −0.0810618 | − | 0.511804i | −0.994492 | − | 0.104809i | \(-0.966577\pi\) |
0.913431 | − | 0.406995i | \(-0.133423\pi\) | |||||||
\(308\) | 5.50165 | − | 0.578246i | 0.313485 | − | 0.0329486i | ||||
\(309\) | −14.6158 | − | 25.3153i | −0.831465 | − | 1.44014i | ||||
\(310\) | −1.56972 | − | 3.39870i | −0.0891541 | − | 0.193033i | ||||
\(311\) | 2.36515i | 0.134116i | 0.997749 | + | 0.0670578i | \(0.0213612\pi\) | ||||
−0.997749 | + | 0.0670578i | \(0.978639\pi\) | |||||||
\(312\) | −16.9261 | − | 22.1670i | −0.958253 | − | 1.25496i | ||||
\(313\) | 2.61916 | − | 3.60496i | 0.148043 | − | 0.203764i | −0.728554 | − | 0.684988i | \(-0.759807\pi\) |
0.876598 | + | 0.481224i | \(0.159807\pi\) | |||||||
\(314\) | −0.813960 | + | 1.25339i | −0.0459344 | + | 0.0707328i | ||||
\(315\) | −2.71959 | − | 4.71047i | −0.153232 | − | 0.265405i | ||||
\(316\) | 3.67196 | − | 6.36002i | 0.206564 | − | 0.357779i | ||||
\(317\) | −13.8781 | − | 27.2373i | −0.779472 | − | 1.52980i | −0.846705 | − | 0.532063i | \(-0.821417\pi\) |
0.0672323 | − | 0.997737i | \(-0.478583\pi\) | |||||||
\(318\) | 16.7101 | − | 10.8516i | 0.937053 | − | 0.608530i | ||||
\(319\) | 6.15176 | + | 9.47288i | 0.344432 | + | 0.530379i | ||||
\(320\) | −4.89796 | − | 0.775761i | −0.273804 | − | 0.0433664i | ||||
\(321\) | −32.2104 | + | 29.0024i | −1.79781 | + | 1.61875i | ||||
\(322\) | −2.89471 | − | 1.28881i | −0.161316 | − | 0.0718225i | ||||
\(323\) | 5.81407 | + | 7.17978i | 0.323504 | + | 0.399494i | ||||
\(324\) | 6.12183 | − | 1.98910i | 0.340102 | − | 0.110506i | ||||
\(325\) | 15.6547 | + | 5.58536i | 0.868366 | + | 0.309820i | ||||
\(326\) | 8.83970 | + | 6.42242i | 0.489586 | + | 0.355705i | ||||
\(327\) | −35.9530 | + | 1.88422i | −1.98820 | + | 0.104197i | ||||
\(328\) | 2.40619 | − | 22.8934i | 0.132860 | − | 1.26408i | ||||
\(329\) | 13.1269 | − | 1.37970i | 0.723711 | − | 0.0760651i | ||||
\(330\) | 1.98049 | + | 3.88693i | 0.109022 | + | 0.213968i | ||||
\(331\) | −12.5775 | + | 15.5320i | −0.691325 | + | 0.853715i | −0.995084 | − | 0.0990340i | \(-0.968425\pi\) |
0.303759 | + | 0.952749i | \(0.401758\pi\) | |||||||
\(332\) | 3.38525 | − | 2.19841i | 0.185790 | − | 0.120653i | ||||
\(333\) | −33.8825 | − | 17.2640i | −1.85675 | − | 0.946062i | ||||
\(334\) | 0.0224798 | − | 0.0202409i | 0.00123004 | − | 0.00110753i | ||||
\(335\) | 1.26082 | − | 0.727936i | 0.0688861 | − | 0.0397714i | ||||
\(336\) | 10.0878 | + | 2.70301i | 0.550334 | + | 0.147461i | ||||
\(337\) | −8.26778 | + | 25.4456i | −0.450375 | + | 1.38611i | 0.426106 | + | 0.904673i | \(0.359885\pi\) |
−0.876480 | + | 0.481438i | \(0.840115\pi\) | |||||||
\(338\) | 13.2895 | + | 4.38769i | 0.722851 | + | 0.238659i | ||||
\(339\) | 18.6588 | + | 25.6816i | 1.01341 | + | 1.39483i | ||||
\(340\) | −0.261992 | + | 0.977769i | −0.0142085 | + | 0.0530270i | ||||
\(341\) | 3.88664 | + | 13.7440i | 0.210473 | + | 0.744277i | ||||
\(342\) | −15.1817 | − | 8.76515i | −0.820931 | − | 0.473965i | ||||
\(343\) | 2.97852 | − | 18.8056i | 0.160825 | − | 1.01541i | ||||
\(344\) | −19.4302 | − | 7.45856i | −1.04761 | − | 0.402139i | ||||
\(345\) | −0.0949042 | + | 1.81088i | −0.00510947 | + | 0.0974945i | ||||
\(346\) | −9.92511 | − | 9.92511i | −0.533577 | − | 0.533577i | ||||
\(347\) | 22.0460 | + | 12.7283i | 1.18349 | + | 0.683290i | 0.956820 | − | 0.290681i | \(-0.0938817\pi\) |
0.226673 | + | 0.973971i | \(0.427215\pi\) | |||||||
\(348\) | −1.94728 | − | 9.16123i | −0.104385 | − | 0.491094i | ||||
\(349\) | 1.34020 | − | 0.0702370i | 0.0717393 | − | 0.00375970i | −0.0164325 | − | 0.999865i | \(-0.505231\pi\) |
0.0881719 | + | 0.996105i | \(0.471898\pi\) | |||||||
\(350\) | −12.1017 | + | 3.93208i | −0.646862 | + | 0.210178i | ||||
\(351\) | 2.20779 | − | 2.86319i | 0.117843 | − | 0.152826i | ||||
\(352\) | 10.6940 | + | 3.47468i | 0.569991 | + | 0.185201i | ||||
\(353\) | −12.0724 | − | 31.4497i | −0.642549 | − | 1.67390i | −0.734904 | − | 0.678171i | \(-0.762773\pi\) |
0.0923547 | − | 0.995726i | \(-0.470561\pi\) | |||||||
\(354\) | −27.0464 | − | 2.84269i | −1.43750 | − | 0.151087i | ||||
\(355\) | 1.69479 | − | 7.97334i | 0.0899499 | − | 0.423181i | ||||
\(356\) | 1.46092 | + | 9.22389i | 0.0774286 | + | 0.488865i | ||||
\(357\) | 4.47814 | − | 11.6660i | 0.237008 | − | 0.617428i | ||||
\(358\) | −4.24614 | + | 2.75747i | −0.224415 | + | 0.145737i | ||||
\(359\) | −0.610595 | − | 3.85514i | −0.0322259 | − | 0.203467i | 0.966322 | − | 0.257336i | \(-0.0828446\pi\) |
−0.998548 | + | 0.0538691i | \(0.982845\pi\) | |||||||
\(360\) | −0.678208 | − | 6.45272i | −0.0357447 | − | 0.340088i | ||||
\(361\) | 0.828648 | + | 3.89848i | 0.0436131 | + | 0.205183i | ||||
\(362\) | −0.733423 | + | 0.281535i | −0.0385479 | + | 0.0147971i | ||||
\(363\) | 3.45386 | + | 10.6299i | 0.181280 | + | 0.557924i | ||||
\(364\) | 7.33538 | − | 2.57807i | 0.384478 | − | 0.135127i | ||||
\(365\) | −1.58196 | − | 0.514012i | −0.0828038 | − | 0.0269046i | ||||
\(366\) | −7.23961 | − | 1.93985i | −0.378421 | − | 0.101398i | ||||
\(367\) | −4.52921 | + | 2.61494i | −0.236423 | + | 0.136499i | −0.613532 | − | 0.789670i | \(-0.710252\pi\) |
0.377109 | + | 0.926169i | \(0.376918\pi\) | |||||||
\(368\) | −1.23709 | − | 1.37393i | −0.0644880 | − | 0.0716212i | ||||
\(369\) | 25.2485 | − | 3.99896i | 1.31438 | − | 0.208178i | ||||
\(370\) | 4.73756 | − | 5.85040i | 0.246294 | − | 0.304148i | ||||
\(371\) | 4.85621 | + | 18.1236i | 0.252122 | + | 0.940931i | ||||
\(372\) | 1.07540 | − | 11.7945i | 0.0557567 | − | 0.611515i | ||||
\(373\) | 12.3327 | − | 21.3609i | 0.638566 | − | 1.10603i | −0.347182 | − | 0.937798i | \(-0.612861\pi\) |
0.985748 | − | 0.168230i | \(-0.0538052\pi\) | |||||||
\(374\) | −2.16452 | + | 4.86160i | −0.111925 | + | 0.251387i | ||||
\(375\) | 9.55319 | + | 11.7972i | 0.493325 | + | 0.609205i | ||||
\(376\) | 14.9744 | + | 4.86548i | 0.772246 | + | 0.250918i | ||||
\(377\) | 11.4897 | + | 10.9552i | 0.591751 | + | 0.564219i | ||||
\(378\) | 2.76790i | 0.142365i | ||||||||
\(379\) | −11.9190 | + | 18.3536i | −0.612236 | + | 0.942761i | 0.387545 | + | 0.921851i | \(0.373323\pi\) |
−0.999781 | + | 0.0209107i | \(0.993343\pi\) | |||||||
\(380\) | −1.68520 | + | 1.87160i | −0.0864487 | + | 0.0960110i | ||||
\(381\) | −6.59995 | + | 31.0503i | −0.338126 | + | 1.59076i | ||||
\(382\) | 0.103931 | − | 0.656195i | 0.00531757 | − | 0.0335738i | ||||
\(383\) | −1.22067 | + | 23.2918i | −0.0623734 | + | 1.19016i | 0.770775 | + | 0.637107i | \(0.219869\pi\) |
−0.833149 | + | 0.553049i | \(0.813464\pi\) | |||||||
\(384\) | −0.430414 | − | 0.348543i | −0.0219645 | − | 0.0177865i | ||||
\(385\) | −4.05752 | + | 0.642648i | −0.206790 | + | 0.0327524i | ||||
\(386\) | 9.82815 | + | 2.08904i | 0.500240 | + | 0.106329i | ||||
\(387\) | 2.41590 | − | 22.9858i | 0.122807 | − | 1.16843i | ||||
\(388\) | 9.08018 | − | 7.35298i | 0.460976 | − | 0.373291i | ||||
\(389\) | −1.38167 | − | 4.25234i | −0.0700533 | − | 0.215602i | 0.909901 | − | 0.414826i | \(-0.136158\pi\) |
−0.979954 | + | 0.199224i | \(0.936158\pi\) | |||||||
\(390\) | 3.97099 | + | 4.67178i | 0.201079 | + | 0.236565i | ||||
\(391\) | −1.78964 | + | 1.30025i | −0.0905060 | + | 0.0657565i | ||||
\(392\) | 0.709532 | − | 1.09258i | 0.0358368 | − | 0.0551838i | ||||
\(393\) | −2.50349 | + | 5.62294i | −0.126285 | + | 0.283640i | ||||
\(394\) | 13.0154 | + | 2.76651i | 0.655707 | + | 0.139375i | ||||
\(395\) | −2.47592 | + | 4.85927i | −0.124577 | + | 0.244496i | ||||
\(396\) | −0.383524 | + | 7.31807i | −0.0192728 | + | 0.367747i | ||||
\(397\) | 30.2156 | − | 8.09626i | 1.51648 | − | 0.406340i | 0.597899 | − | 0.801572i | \(-0.296003\pi\) |
0.918581 | + | 0.395232i | \(0.129336\pi\) | |||||||
\(398\) | 0.707344 | − | 0.707344i | 0.0354559 | − | 0.0354559i | ||||
\(399\) | 23.1041 | − | 20.8030i | 1.15665 | − | 1.04145i | ||||
\(400\) | −7.38364 | − | 0.776052i | −0.369182 | − | 0.0388026i | ||||
\(401\) | 7.53549 | − | 2.89260i | 0.376304 | − | 0.144450i | −0.162862 | − | 0.986649i | \(-0.552073\pi\) |
0.539167 | + | 0.842199i | \(0.318739\pi\) | |||||||
\(402\) | −6.34656 | −0.316538 | ||||||||
\(403\) | 9.77984 | + | 17.5315i | 0.487168 | + | 0.873308i | ||||
\(404\) | −7.90674 | −0.393375 | ||||||||
\(405\) | −4.46261 | + | 1.71304i | −0.221749 | + | 0.0851214i | ||||
\(406\) | −12.0869 | − | 1.27039i | −0.599864 | − | 0.0630483i | ||||
\(407\) | −21.3440 | + | 19.2182i | −1.05798 | + | 0.952610i | ||||
\(408\) | 10.5402 | − | 10.5402i | 0.521816 | − | 0.521816i | ||||
\(409\) | 20.3848 | − | 5.46209i | 1.00796 | − | 0.270083i | 0.283185 | − | 0.959065i | \(-0.408609\pi\) |
0.724778 | + | 0.688982i | \(0.241942\pi\) | |||||||
\(410\) | −0.264852 | + | 5.05368i | −0.0130801 | + | 0.249583i | ||||
\(411\) | −9.91077 | + | 19.4510i | −0.488862 | + | 0.959447i | ||||
\(412\) | 9.50849 | + | 2.02109i | 0.468449 | + | 0.0995720i | ||||
\(413\) | 10.4165 | − | 23.3959i | 0.512563 | − | 1.15124i | ||||
\(414\) | 2.28611 | − | 3.52031i | 0.112356 | − | 0.173014i | ||||
\(415\) | −2.42504 | + | 1.76189i | −0.119041 | + | 0.0864880i | ||||
\(416\) | 15.7523 | + | 1.27727i | 0.772322 | + | 0.0626232i | ||||
\(417\) | −6.74451 | − | 20.7575i | −0.330280 | − | 1.01650i | ||||
\(418\) | −10.2896 | + | 8.33235i | −0.503281 | + | 0.407549i | ||||
\(419\) | −1.70368 | + | 16.2095i | −0.0832303 | + | 0.791884i | 0.870692 | + | 0.491829i | \(0.163672\pi\) |
−0.953922 | + | 0.300055i | \(0.902995\pi\) | |||||||
\(420\) | 3.33199 | + | 0.708236i | 0.162584 | + | 0.0345584i | ||||
\(421\) | 12.2812 | − | 1.94515i | 0.598550 | − | 0.0948009i | 0.150194 | − | 0.988656i | \(-0.452010\pi\) |
0.448355 | + | 0.893856i | \(0.352010\pi\) | |||||||
\(422\) | −10.7289 | − | 8.68806i | −0.522273 | − | 0.422928i | ||||
\(423\) | −0.915087 | + | 17.4609i | −0.0444931 | + | 0.848978i | ||||
\(424\) | −3.50129 | + | 22.1063i | −0.170038 | + | 1.07358i | ||||
\(425\) | −1.84693 | + | 8.68914i | −0.0895895 | + | 0.421485i | ||||
\(426\) | −23.7773 | + | 26.4073i | −1.15201 | + | 1.27944i | ||||
\(427\) | 3.84410 | − | 5.91940i | 0.186029 | − | 0.286460i | ||||
\(428\) | − | 14.4137i | − | 0.696714i | ||||||
\(429\) | −12.1754 | − | 19.9744i | −0.587832 | − | 0.964373i | ||||
\(430\) | 4.35150 | + | 1.41389i | 0.209848 | + | 0.0681838i | ||||
\(431\) | 15.5210 | + | 19.1669i | 0.747623 | + | 0.923237i | 0.999003 | − | 0.0446514i | \(-0.0142177\pi\) |
−0.251380 | + | 0.967888i | \(0.580884\pi\) | |||||||
\(432\) | −0.656871 | + | 1.47536i | −0.0316037 | + | 0.0709831i | ||||
\(433\) | −5.45687 | + | 9.45157i | −0.262240 | + | 0.454214i | −0.966837 | − | 0.255394i | \(-0.917795\pi\) |
0.704597 | + | 0.709608i | \(0.251128\pi\) | |||||||
\(434\) | −14.1246 | − | 6.05665i | −0.678003 | − | 0.290729i | ||||
\(435\) | 1.80015 | + | 6.71824i | 0.0863104 | + | 0.322115i | ||||
\(436\) | 7.53453 | − | 9.30437i | 0.360839 | − | 0.445599i | ||||
\(437\) | −5.43595 | + | 0.860969i | −0.260037 | + | 0.0411857i | ||||
\(438\) | 4.85195 | + | 5.38864i | 0.231835 | + | 0.257479i | ||||
\(439\) | 32.4491 | − | 18.7345i | 1.54871 | − | 0.894149i | 0.550470 | − | 0.834855i | \(-0.314448\pi\) |
0.998241 | − | 0.0592940i | \(-0.0188849\pi\) | |||||||
\(440\) | −4.73346 | − | 1.26833i | −0.225659 | − | 0.0604651i | ||||
\(441\) | 1.37591 | + | 0.447059i | 0.0655193 | + | 0.0212885i | ||||
\(442\) | −1.38047 | + | 7.35120i | −0.0656625 | + | 0.349661i | ||||
\(443\) | −10.1069 | − | 31.1060i | −0.480195 | − | 1.47789i | −0.838821 | − | 0.544408i | \(-0.816754\pi\) |
0.358626 | − | 0.933482i | \(-0.383246\pi\) | |||||||
\(444\) | 22.2337 | − | 8.53473i | 1.05517 | − | 0.405040i | ||||
\(445\) | −1.44190 | − | 6.78361i | −0.0683526 | − | 0.321574i | ||||
\(446\) | −1.36791 | − | 13.0148i | −0.0647726 | − | 0.616270i | ||||
\(447\) | 3.40405 | + | 21.4923i | 0.161006 | + | 1.01655i | ||||
\(448\) | −17.0733 | + | 11.0875i | −0.806636 | + | 0.523836i | ||||
\(449\) | 1.11601 | − | 2.90729i | 0.0526676 | − | 0.137204i | −0.904723 | − | 0.426001i | \(-0.859922\pi\) |
0.957390 | + | 0.288797i | \(0.0932554\pi\) | |||||||
\(450\) | −2.63685 | − | 16.6484i | −0.124302 | − | 0.784814i | ||||
\(451\) | 4.01421 | − | 18.8854i | 0.189022 | − | 0.889279i | ||||
\(452\) | −10.4986 | − | 1.10345i | −0.493814 | − | 0.0519019i | ||||
\(453\) | 9.50878 | + | 24.7712i | 0.446761 | + | 1.16385i | ||||
\(454\) | −7.67440 | − | 2.49356i | −0.360177 | − | 0.117029i | ||||
\(455\) | −5.33968 | + | 2.19697i | −0.250328 | + | 0.102996i | ||||
\(456\) | 35.2708 | − | 11.4602i | 1.65171 | − | 0.536673i | ||||
\(457\) | −19.1622 | + | 1.00425i | −0.896370 | + | 0.0469767i | −0.494954 | − | 0.868919i | \(-0.664815\pi\) |
−0.401416 | + | 0.915896i | \(0.631482\pi\) | |||||||
\(458\) | 2.40637 | + | 11.3211i | 0.112442 | + | 0.528999i | ||||
\(459\) | 1.67345 | + | 0.966169i | 0.0781101 | + | 0.0450969i | ||||
\(460\) | −0.426407 | − | 0.426407i | −0.0198813 | − | 0.0198813i | ||||
\(461\) | 1.99397 | − | 38.0472i | 0.0928684 | − | 1.77204i | −0.414254 | − | 0.910161i | \(-0.635957\pi\) |
0.507122 | − | 0.861874i | \(-0.330709\pi\) | |||||||
\(462\) | 16.7189 | + | 6.41778i | 0.777833 | + | 0.298582i | ||||
\(463\) | 1.55416 | − | 9.81255i | 0.0722277 | − | 0.456028i | −0.924895 | − | 0.380223i | \(-0.875847\pi\) |
0.997123 | − | 0.0758051i | \(-0.0241527\pi\) | |||||||
\(464\) | −6.14114 | − | 3.54559i | −0.285095 | − | 0.164600i | ||||
\(465\) | −0.339111 | + | 8.78852i | −0.0157259 | + | 0.407558i | ||||
\(466\) | −7.16071 | + | 26.7241i | −0.331713 | + | 1.23797i | ||||
\(467\) | 18.1062 | + | 24.9210i | 0.837853 | + | 1.15321i | 0.986410 | + | 0.164302i | \(0.0525372\pi\) |
−0.148557 | + | 0.988904i | \(0.547463\pi\) | |||||||
\(468\) | 1.85300 | + | 10.1317i | 0.0856549 | + | 0.468338i | ||||
\(469\) | 1.84687 | − | 5.68407i | 0.0852803 | − | 0.262466i | ||||
\(470\) | −3.34344 | − | 0.895873i | −0.154222 | − | 0.0413236i | ||||
\(471\) | 3.04063 | − | 1.75551i | 0.140105 | − | 0.0808897i | ||||
\(472\) | 22.7027 | − | 20.4416i | 1.04497 | − | 0.940899i | ||||
\(473\) | −15.5537 | − | 7.92498i | −0.715158 | − | 0.364391i | ||||
\(474\) | 19.9387 | − | 12.9483i | 0.915814 | − | 0.594737i | ||||
\(475\) | −13.9088 | + | 17.1760i | −0.638182 | + | 0.788089i | ||||
\(476\) | 1.88655 | + | 3.70257i | 0.0864700 | + | 0.169707i | ||||
\(477\) | −24.7189 | + | 2.59806i | −1.13180 | + | 0.118957i | ||||
\(478\) | 1.09495 | − | 10.4177i | 0.0500817 | − | 0.476496i | ||||
\(479\) | 5.45033 | − | 0.285640i | 0.249032 | − | 0.0130512i | 0.0725885 | − | 0.997362i | \(-0.476874\pi\) |
0.176444 | + | 0.984311i | \(0.443541\pi\) | |||||||
\(480\) | 5.60159 | + | 4.06980i | 0.255677 | + | 0.185760i | ||||
\(481\) | −22.9433 | + | 33.2140i | −1.04613 | + | 1.51443i | ||||
\(482\) | −18.3095 | + | 5.94911i | −0.833973 | + | 0.270974i | ||||
\(483\) | 4.68475 | + | 5.78519i | 0.213164 | + | 0.263235i | ||||
\(484\) | −3.39552 | − | 1.51178i | −0.154342 | − | 0.0687174i | ||||
\(485\) | −6.44803 | + | 5.80584i | −0.292790 | + | 0.263629i | ||||
\(486\) | 23.7800 | + | 3.76638i | 1.07868 | + | 0.170846i | ||||
\(487\) | −23.3194 | − | 35.9087i | −1.05670 | − | 1.62718i | −0.731923 | − | 0.681388i | \(-0.761377\pi\) |
−0.324779 | − | 0.945790i | \(-0.605290\pi\) | |||||||
\(488\) | 7.06109 | − | 4.58553i | 0.319641 | − | 0.207577i | ||||
\(489\) | −11.6538 | − | 22.8718i | −0.527002 | − | 1.03430i | ||||
\(490\) | −0.143199 | + | 0.248028i | −0.00646908 | + | 0.0112048i | ||||
\(491\) | −11.4871 | − | 19.8963i | −0.518406 | − | 0.897906i | −0.999771 | − | 0.0213857i | \(-0.993192\pi\) |
0.481365 | − | 0.876520i | \(-0.340141\pi\) | |||||||
\(492\) | −8.71945 | + | 13.4268i | −0.393103 | + | 0.605326i | ||||
\(493\) | −4.98716 | + | 6.86424i | −0.224610 | + | 0.309150i | ||||
\(494\) | −11.3636 | + | 14.7369i | −0.511271 | + | 0.663045i | ||||
\(495\) | − | 5.44194i | − | 0.244597i | ||||||
\(496\) | −6.09141 | − | 6.58036i | −0.273512 | − | 0.295467i | ||||
\(497\) | −16.7315 | − | 28.9799i | −0.750512 | − | 1.29992i | ||||
\(498\) | 12.9954 | − | 1.36588i | 0.582339 | − | 0.0612063i | ||||
\(499\) | 1.80376 | + | 11.3885i | 0.0807473 | + | 0.509818i | 0.994601 | + | 0.103774i | \(0.0330920\pi\) |
−0.913854 | + | 0.406044i | \(0.866908\pi\) | |||||||
\(500\) | −5.04121 | − | 0.264199i | −0.225450 | − | 0.0118153i | ||||
\(501\) | −0.0686441 | + | 0.0183931i | −0.00306679 | + | 0.000821744i | ||||
\(502\) | 0.639802 | − | 0.639802i | 0.0285557 | − | 0.0285557i | ||||
\(503\) | −15.4064 | − | 17.1105i | −0.686935 | − | 0.762919i | 0.294304 | − | 0.955712i | \(-0.404912\pi\) |
−0.981239 | + | 0.192793i | \(0.938245\pi\) | |||||||
\(504\) | −19.7939 | − | 17.8225i | −0.881691 | − | 0.793878i | ||||
\(505\) | 5.86360 | − | 0.307298i | 0.260927 | − | 0.0136746i | ||||
\(506\) | −1.86343 | − | 2.56480i | −0.0828398 | − | 0.114019i | ||||
\(507\) | −23.1384 | − | 23.3586i | −1.02761 | − | 1.03739i | ||||
\(508\) | −6.20490 | − | 8.54031i | −0.275298 | − | 0.378915i | ||||
\(509\) | 13.2777 | − | 10.7521i | 0.588523 | − | 0.476577i | −0.288201 | − | 0.957570i | \(-0.593057\pi\) |
0.876724 | + | 0.480993i | \(0.159724\pi\) | |||||||
\(510\) | −2.19271 | + | 2.43525i | −0.0970947 | + | 0.107835i | ||||
\(511\) | −6.23807 | + | 2.77737i | −0.275956 | + | 0.122864i | ||||
\(512\) | −16.7026 | + | 2.64544i | −0.738160 | + | 0.116913i | ||||
\(513\) | 2.61842 | + | 4.03201i | 0.115606 | + | 0.178017i | ||||
\(514\) | −9.49300 | − | 3.64402i | −0.418718 | − | 0.160731i | ||||
\(515\) | −7.12999 | − | 1.12928i | −0.314185 | − | 0.0497620i | ||||
\(516\) | 9.68548 | + | 10.7568i | 0.426380 | + | 0.473543i | ||||
\(517\) | 12.0642 | + | 5.37134i | 0.530584 | + | 0.236231i | ||||
\(518\) | −1.61738 | − | 30.8615i | −0.0710637 | − | 1.35598i | ||||
\(519\) | 10.1900 | + | 31.3615i | 0.447290 | + | 1.37662i | ||||
\(520\) | −6.88482 | − | 0.196598i | −0.301919 | − | 0.00862138i | ||||
\(521\) | −15.9633 | −0.699364 | −0.349682 | − | 0.936868i | \(-0.613710\pi\) | ||||
−0.349682 | + | 0.936868i | \(0.613710\pi\) | |||||||
\(522\) | 4.16688 | − | 15.5510i | 0.182380 | − | 0.680650i | ||||
\(523\) | 3.34528 | + | 15.7383i | 0.146279 | + | 0.688188i | 0.988766 | + | 0.149471i | \(0.0477572\pi\) |
−0.842487 | + | 0.538716i | \(0.818909\pi\) | |||||||
\(524\) | −0.832531 | − | 1.86990i | −0.0363693 | − | 0.0816868i | ||||
\(525\) | 29.5256 | + | 4.67640i | 1.28860 | + | 0.204095i | ||||
\(526\) | 9.65440 | − | 2.58689i | 0.420952 | − | 0.112794i | ||||
\(527\) | −8.59218 | + | 6.42551i | −0.374281 | + | 0.279899i | ||||
\(528\) | 7.38851 | + | 7.38851i | 0.321544 | + | 0.321544i | ||||
\(529\) | 2.26641 | + | 21.5634i | 0.0985394 | + | 0.937539i | ||||
\(530\) | 0.514324 | − | 4.89347i | 0.0223408 | − | 0.212559i | ||||
\(531\) | 28.4521 | + | 18.4770i | 1.23471 | + | 0.801833i | ||||
\(532\) | 10.3388i | 0.448243i | ||||||||
\(533\) | −0.646128 | − | 27.1290i | −0.0279869 | − | 1.17509i | ||||
\(534\) | −9.34230 | + | 28.7526i | −0.404281 | + | 1.24425i | ||||
\(535\) | 0.560195 | + | 10.6892i | 0.0242193 | + | 0.462132i | ||||
\(536\) | 4.77044 | − | 5.29811i | 0.206052 | − | 0.228843i | ||||
\(537\) | 11.8292 | − | 1.24330i | 0.510469 | − | 0.0536525i | ||||
\(538\) | −13.7030 | + | 6.98203i | −0.590779 | + | 0.301017i | ||||
\(539\) | 0.687639 | − | 0.849164i | 0.0296187 | − | 0.0365761i | ||||
\(540\) | −0.188774 | + | 0.491774i | −0.00812356 | + | 0.0211626i | ||||
\(541\) | −15.0354 | + | 29.5087i | −0.646424 | + | 1.26868i | 0.302492 | + | 0.953152i | \(0.402181\pi\) |
−0.948917 | + | 0.315527i | \(0.897819\pi\) | |||||||
\(542\) | 0.387862 | + | 0.871153i | 0.0166601 | + | 0.0374192i | ||||
\(543\) | 1.83551 | + | 0.192920i | 0.0787693 | + | 0.00827899i | ||||
\(544\) | 0.442056 | + | 8.43493i | 0.0189530 | + | 0.361645i | ||||
\(545\) | −5.22595 | + | 7.19290i | −0.223855 | + | 0.308110i | ||||
\(546\) | 24.9472 | + | 3.34447i | 1.06764 | + | 0.143130i | ||||
\(547\) | −0.376599 | + | 1.15905i | −0.0161022 | + | 0.0495575i | −0.958785 | − | 0.284133i | \(-0.908294\pi\) |
0.942683 | + | 0.333691i | \(0.108294\pi\) | |||||||
\(548\) | −2.60162 | − | 6.77745i | −0.111136 | − | 0.289518i | ||||
\(549\) | 6.94821 | + | 6.25620i | 0.296543 | + | 0.267008i | ||||
\(550\) | −12.4527 | − | 2.64691i | −0.530986 | − | 0.112864i | ||||
\(551\) | −18.8089 | + | 9.58359i | −0.801284 | + | 0.408275i | ||||
\(552\) | 2.29829 | + | 8.57735i | 0.0978219 | + | 0.365076i | ||||
\(553\) | 5.79450 | + | 21.6254i | 0.246407 | + | 0.919604i | ||||
\(554\) | 8.31899 | + | 16.3269i | 0.353440 | + | 0.693665i | ||||
\(555\) | −16.1567 | + | 7.19343i | −0.685814 | + | 0.305344i | ||||
\(556\) | 6.63059 | + | 2.95213i | 0.281200 | + | 0.125198i | ||||
\(557\) | −33.8360 | − | 9.06633i | −1.43368 | − | 0.384153i | −0.543362 | − | 0.839498i | \(-0.682849\pi\) |
−0.890315 | + | 0.455346i | \(0.849516\pi\) | |||||||
\(558\) | 10.8514 | − | 17.2252i | 0.459376 | − | 0.729203i | ||||
\(559\) | −23.8435 | − | 5.78405i | −1.00847 | − | 0.244639i | ||||
\(560\) | 2.08653 | − | 1.51596i | 0.0881722 | − | 0.0640608i | ||||
\(561\) | 9.71608 | − | 7.86793i | 0.410213 | − | 0.332184i | ||||
\(562\) | 17.1828 | − | 3.65231i | 0.724812 | − | 0.154063i | ||||
\(563\) | 25.7783 | + | 14.8831i | 1.08642 | + | 0.627247i | 0.932622 | − | 0.360854i | \(-0.117515\pi\) |
0.153802 | + | 0.988102i | \(0.450848\pi\) | |||||||
\(564\) | −7.74306 | − | 7.74306i | −0.326042 | − | 0.326042i | ||||
\(565\) | 7.82861 | + | 0.410280i | 0.329352 | + | 0.0172606i | ||||
\(566\) | −17.2736 | − | 26.5989i | −0.726062 | − | 1.11804i | ||||
\(567\) | −8.90869 | + | 17.4843i | −0.374130 | + | 0.734271i | ||||
\(568\) | −4.17248 | − | 39.6985i | −0.175074 | − | 1.66571i | ||||
\(569\) | 29.3537 | − | 6.23932i | 1.23057 | − | 0.261566i | 0.453659 | − | 0.891175i | \(-0.350118\pi\) |
0.776912 | + | 0.629610i | \(0.216785\pi\) | |||||||
\(570\) | −7.61147 | + | 2.92177i | −0.318809 | + | 0.122379i | ||||
\(571\) | 12.8669 | + | 9.34833i | 0.538462 | + | 0.391216i | 0.823514 | − | 0.567297i | \(-0.192011\pi\) |
−0.285051 | + | 0.958512i | \(0.592011\pi\) | |||||||
\(572\) | 7.64553 | + | 1.43575i | 0.319676 | + | 0.0600316i | ||||
\(573\) | −0.917426 | + | 1.26273i | −0.0383260 | + | 0.0527512i | ||||
\(574\) | 13.0739 | + | 16.1449i | 0.545693 | + | 0.673875i | ||||
\(575\) | −3.93272 | − | 3.54103i | −0.164006 | − | 0.147671i | ||||
\(576\) | −10.9686 | − | 24.6359i | −0.457026 | − | 1.02650i | ||||
\(577\) | 6.40532 | − | 40.4416i | 0.266657 | − | 1.68361i | −0.383291 | − | 0.923628i | \(-0.625209\pi\) |
0.649948 | − | 0.759978i | \(-0.274791\pi\) | |||||||
\(578\) | 14.2841 | + | 0.748597i | 0.594139 | + | 0.0311375i | ||||
\(579\) | −18.3447 | − | 14.8552i | −0.762378 | − | 0.617362i | ||||
\(580\) | −2.06085 | − | 1.05006i | −0.0855721 | − | 0.0436012i | ||||
\(581\) | −2.55841 | + | 12.0364i | −0.106141 | + | 0.499353i | ||||
\(582\) | 36.9976 | − | 7.86408i | 1.53360 | − | 0.325977i | ||||
\(583\) | −4.85867 | + | 18.1328i | −0.201226 | + | 0.750984i | ||||
\(584\) | −8.14544 | −0.337061 | ||||||||
\(585\) | −1.76795 | − | 7.44159i | −0.0730955 | − | 0.307672i | ||||
\(586\) | 28.3113 | + | 20.5694i | 1.16953 | + | 0.849713i | ||||
\(587\) | −0.215152 | − | 0.560490i | −0.00888028 | − | 0.0231339i | 0.929069 | − | 0.369907i | \(-0.120611\pi\) |
−0.937949 | + | 0.346773i | \(0.887277\pi\) | |||||||
\(588\) | −0.784654 | + | 0.453020i | −0.0323586 | + | 0.0186822i | ||||
\(589\) | −26.3049 | + | 4.53906i | −1.08388 | + | 0.187029i | ||||
\(590\) | −4.74893 | + | 4.74893i | −0.195510 | + | 0.195510i | ||||
\(591\) | −24.2938 | − | 19.6727i | −0.999314 | − | 0.809228i | ||||
\(592\) | 6.46187 | − | 16.8337i | 0.265581 | − | 0.691863i | ||||
\(593\) | 20.5791 | − | 10.4856i | 0.845080 | − | 0.430590i | 0.0228460 | − | 0.999739i | \(-0.492727\pi\) |
0.822234 | + | 0.569149i | \(0.192727\pi\) | |||||||
\(594\) | −1.38465 | + | 2.39829i | −0.0568129 | + | 0.0984029i | ||||
\(595\) | −1.54296 | − | 2.67248i | −0.0632552 | − | 0.109561i | ||||
\(596\) | −6.06888 | − | 3.94118i | −0.248591 | − | 0.161437i | ||||
\(597\) | −2.23507 | + | 0.726219i | −0.0914754 | + | 0.0297222i | ||||
\(598\) | −3.38139 | − | 2.90186i | −0.138275 | − | 0.118666i | ||||
\(599\) | −15.1852 | + | 11.0327i | −0.620451 | + | 0.450784i | −0.853079 | − | 0.521782i | \(-0.825268\pi\) |
0.232628 | + | 0.972566i | \(0.425268\pi\) | |||||||
\(600\) | 29.9065 | + | 19.4215i | 1.22093 | + | 0.792879i | ||||
\(601\) | 18.0523 | − | 40.5462i | 0.736370 | − | 1.65391i | −0.0200266 | − | 0.999799i | \(-0.506375\pi\) |
0.756396 | − | 0.654114i | \(-0.226958\pi\) | |||||||
\(602\) | 17.1590 | − | 7.63970i | 0.699350 | − | 0.311371i | ||||
\(603\) | 7.05419 | + | 3.59429i | 0.287269 | + | 0.146371i | ||||
\(604\) | −8.23761 | − | 3.16212i | −0.335184 | − | 0.128665i | ||||
\(605\) | 2.57685 | + | 0.989162i | 0.104764 | + | 0.0402151i | ||||
\(606\) | −22.8063 | − | 11.6204i | −0.926444 | − | 0.472047i | ||||
\(607\) | 37.5055 | − | 16.6985i | 1.52230 | − | 0.677772i | 0.536226 | − | 0.844075i | \(-0.319850\pi\) |
0.986075 | + | 0.166303i | \(0.0531829\pi\) | |||||||
\(608\) | −8.54746 | + | 19.1979i | −0.346645 | + | 0.778578i | ||||
\(609\) | 23.9460 | + | 15.5507i | 0.970340 | + | 0.630146i | ||||
\(610\) | −1.49743 | + | 1.08794i | −0.0606290 | + | 0.0440495i | ||||
\(611\) | 18.2422 | + | 3.42569i | 0.738002 | + | 0.138589i | ||||
\(612\) | −5.23531 | + | 1.70105i | −0.211625 | + | 0.0687611i | ||||
\(613\) | 21.3893 | + | 13.8904i | 0.863907 | + | 0.561028i | 0.898798 | − | 0.438363i | \(-0.144442\pi\) |
−0.0348905 | + | 0.999391i | \(0.511108\pi\) | |||||||
\(614\) | 4.88713 | + | 8.46477i | 0.197229 | + | 0.341610i | ||||
\(615\) | 5.94446 | − | 10.2961i | 0.239704 | − | 0.415179i | ||||
\(616\) | −17.9244 | + | 9.13296i | −0.722196 | + | 0.367977i | ||||
\(617\) | −1.55170 | + | 4.04231i | −0.0624690 | + | 0.162737i | −0.961262 | − | 0.275636i | \(-0.911112\pi\) |
0.898793 | + | 0.438373i | \(0.144445\pi\) | |||||||
\(618\) | 24.4561 | + | 19.8041i | 0.983768 | + | 0.796639i | ||||
\(619\) | −7.10725 | + | 7.10725i | −0.285664 | + | 0.285664i | −0.835363 | − | 0.549699i | \(-0.814743\pi\) |
0.549699 | + | 0.835363i | \(0.314743\pi\) | |||||||
\(620\) | −2.09646 | − | 2.03941i | −0.0841958 | − | 0.0819045i | ||||
\(621\) | −0.996920 | + | 0.575572i | −0.0400050 | + | 0.0230969i | ||||
\(622\) | −0.912472 | − | 2.37707i | −0.0365868 | − | 0.0953119i | ||||
\(623\) | −23.0326 | − | 16.7342i | −0.922783 | − | 0.670441i | ||||
\(624\) | 12.5038 | + | 7.70310i | 0.500551 | + | 0.308371i | ||||
\(625\) | −19.3007 | −0.772028 | ||||||||
\(626\) | −1.24157 | + | 4.63359i | −0.0496230 | + | 0.185196i | ||||
\(627\) | 30.4256 | − | 6.46717i | 1.21508 | − | 0.258274i | ||||
\(628\) | −0.242754 | + | 1.14207i | −0.00968694 | + | 0.0455735i | ||||
\(629\) | −19.2232 | − | 9.79473i | −0.766481 | − | 0.390541i | ||||
\(630\) | 4.55059 | + | 3.68500i | 0.181300 | + | 0.146814i | ||||
\(631\) | −26.0565 | − | 1.36556i | −1.03729 | − | 0.0543621i | −0.473922 | − | 0.880567i | \(-0.657162\pi\) |
−0.563370 | + | 0.826205i | \(0.690495\pi\) | |||||||
\(632\) | −4.17779 | + | 26.3775i | −0.166183 | + | 1.04924i | ||||
\(633\) | 13.1918 | + | 29.6293i | 0.524327 | + | 1.17766i | ||||
\(634\) | 24.4562 | + | 22.0204i | 0.971278 | + | 0.874543i | ||||
\(635\) | 4.93344 | + | 6.09229i | 0.195778 | + | 0.241765i | ||||
\(636\) | 9.14953 | − | 12.5932i | 0.362802 | − | 0.499355i | ||||
\(637\) | 0.664442 | − | 1.38459i | 0.0263262 | − | 0.0548593i | ||||
\(638\) | −9.83738 | − | 7.14728i | −0.389466 | − | 0.282963i | ||||
\(639\) | 41.3839 | − | 15.8858i | 1.63712 | − | 0.628432i | ||||
\(640\) | −0.133784 | + | 0.0284367i | −0.00528828 | + | 0.00112406i | ||||
\(641\) | −2.51701 | − | 23.9477i | −0.0994159 | − | 0.945879i | −0.924581 | − | 0.380987i | \(-0.875584\pi\) |
0.825165 | − | 0.564892i | \(-0.191082\pi\) | |||||||
\(642\) | 21.1836 | − | 41.5752i | 0.836052 | − | 1.64084i | ||||
\(643\) | 13.2732 | + | 20.4389i | 0.523442 | + | 0.806031i | 0.997212 | − | 0.0746181i | \(-0.0237738\pi\) |
−0.473770 | + | 0.880649i | \(0.657107\pi\) | |||||||
\(644\) | −2.47214 | − | 0.129559i | −0.0974160 | − | 0.00510536i | ||||
\(645\) | −7.60077 | − | 7.60077i | −0.299280 | − | 0.299280i | ||||
\(646\) | −8.61332 | − | 4.97290i | −0.338886 | − | 0.195656i | ||||
\(647\) | 6.78251 | − | 1.44167i | 0.266648 | − | 0.0566778i | −0.0726472 | − | 0.997358i | \(-0.523145\pi\) |
0.339295 | + | 0.940680i | \(0.389811\pi\) | |||||||
\(648\) | −18.1913 | + | 14.7310i | −0.714622 | + | 0.578690i | ||||
\(649\) | 20.7294 | − | 15.0608i | 0.813700 | − | 0.591188i | ||||
\(650\) | −17.8884 | + | 0.426046i | −0.701641 | + | 0.0167109i | ||||
\(651\) | 23.1065 | + | 27.7429i | 0.905616 | + | 1.08733i | ||||
\(652\) | 8.24551 | + | 2.20938i | 0.322919 | + | 0.0865259i | ||||
\(653\) | 25.2482 | + | 11.2412i | 0.988040 | + | 0.439904i | 0.836154 | − | 0.548494i | \(-0.184799\pi\) |
0.151886 | + | 0.988398i | \(0.451465\pi\) | |||||||
\(654\) | 35.4072 | − | 15.7643i | 1.38453 | − | 0.616433i | ||||
\(655\) | 0.690075 | + | 1.35435i | 0.0269635 | + | 0.0529188i | ||||
\(656\) | 3.13722 | + | 11.7083i | 0.122488 | + | 0.457131i | ||||
\(657\) | −2.34115 | − | 8.73731i | −0.0913371 | − | 0.340875i | ||||
\(658\) | −12.6608 | + | 6.45100i | −0.493569 | + | 0.251486i | ||||
\(659\) | −23.2773 | − | 4.94775i | −0.906756 | − | 0.192737i | −0.269149 | − | 0.963099i | \(-0.586742\pi\) |
−0.637607 | + | 0.770362i | \(0.720076\pi\) | |||||||
\(660\) | 2.53275 | + | 2.28050i | 0.0985873 | + | 0.0887684i | ||||
\(661\) | 2.29802 | + | 5.98655i | 0.0893827 | + | 0.232850i | 0.970984 | − | 0.239145i | \(-0.0768673\pi\) |
−0.881601 | + | 0.471995i | \(0.843534\pi\) | |||||||
\(662\) | 6.64872 | − | 20.4626i | 0.258410 | − | 0.795303i | ||||
\(663\) | 10.7302 | − | 13.9155i | 0.416726 | − | 0.540434i | ||||
\(664\) | −8.62788 | + | 11.8753i | −0.334827 | + | 0.460849i | ||||
\(665\) | −0.401820 | − | 7.66718i | −0.0155819 | − | 0.297321i | ||||
\(666\) | 40.7137 | + | 4.27918i | 1.57762 | + | 0.165815i | ||||
\(667\) | −2.05586 | − | 4.61755i | −0.0796034 | − | 0.178792i | ||||
\(668\) | 0.0107290 | − | 0.0210569i | 0.000415118 | − | 0.000814715i | ||||
\(669\) | −11.0178 | + | 28.7022i | −0.425971 | + | 1.10969i | ||||
\(670\) | −0.986339 | + | 1.21803i | −0.0381056 | + | 0.0470565i | ||||
\(671\) | 6.29198 | − | 3.20592i | 0.242899 | − | 0.123763i | ||||
\(672\) | 28.2682 | − | 2.97111i | 1.09047 | − | 0.114613i | ||||
\(673\) | 17.0694 | − | 18.9575i | 0.657977 | − | 0.730757i | −0.318130 | − | 0.948047i | \(-0.603055\pi\) |
0.976107 | + | 0.217290i | \(0.0697217\pi\) | |||||||
\(674\) | −1.50743 | − | 28.7635i | −0.0580642 | − | 1.10793i | ||||
\(675\) | −1.42849 | + | 4.39643i | −0.0549825 | + | 0.169219i | ||||
\(676\) | 10.9213 | − | 0.520519i | 0.420051 | − | 0.0200200i | ||||
\(677\) | 30.4554i | 1.17050i | 0.810855 | + | 0.585248i | \(0.199003\pi\) | ||||
−0.810855 | + | 0.585248i | \(0.800997\pi\) | |||||||
\(678\) | −28.6607 | − | 18.6125i | −1.10071 | − | 0.714808i | ||||
\(679\) | −3.72322 | + | 35.4240i | −0.142884 | + | 1.35945i | ||||
\(680\) | −0.384781 | − | 3.66094i | −0.0147557 | − | 0.140391i | ||||
\(681\) | 13.4049 | + | 13.4049i | 0.513676 | + | 0.513676i | ||||
\(682\) | −9.20862 | − | 12.3138i | −0.352616 | − | 0.471518i | ||||
\(683\) | −25.9284 | + | 6.94750i | −0.992123 | + | 0.265839i | −0.718142 | − | 0.695897i | \(-0.755007\pi\) |
−0.273981 | + | 0.961735i | \(0.588341\pi\) | |||||||
\(684\) | −13.5270 | − | 2.14247i | −0.517219 | − | 0.0819195i | ||||
\(685\) | 2.19276 | + | 4.92501i | 0.0837809 | + | 0.188175i | ||||
\(686\) | 4.26166 | + | 20.0495i | 0.162711 | + | 0.765494i | ||||
\(687\) | 7.03751 | − | 26.2644i | 0.268498 | − | 1.00205i | ||||
\(688\) | 10.9592 | 0.417816 | ||||||||
\(689\) | −0.753122 | + | 26.3742i | −0.0286917 | + | 1.00478i | ||||
\(690\) | −0.603252 | − | 1.85662i | −0.0229654 | − | 0.0706803i | ||||
\(691\) | −0.963840 | − | 18.3912i | −0.0366662 | − | 0.699633i | −0.953688 | − | 0.300797i | \(-0.902748\pi\) |
0.917022 | − | 0.398836i | \(-0.130586\pi\) | |||||||
\(692\) | −10.0178 | − | 4.46023i | −0.380821 | − | 0.169553i | ||||
\(693\) | −14.9484 | − | 16.6019i | −0.567843 | − | 0.630653i | ||||
\(694\) | −27.0677 | − | 4.28710i | −1.02748 | − | 0.162736i | ||||
\(695\) | −5.03195 | − | 1.93158i | −0.190873 | − | 0.0732691i | ||||
\(696\) | 18.5500 | + | 28.5645i | 0.703137 | + | 1.08274i | ||||
\(697\) | 14.3247 | − | 2.26881i | 0.542587 | − | 0.0859373i | ||||
\(698\) | −1.31986 | + | 0.587638i | −0.0499573 | + | 0.0222424i | ||||
\(699\) | 43.4921 | − | 48.3029i | 1.64502 | − | 1.82698i | ||||
\(700\) | −7.72566 | + | 6.25612i | −0.292003 | + | 0.236459i | ||||
\(701\) | −25.0382 | − | 34.4622i | −0.945681 | − | 1.30162i | −0.953419 | − | 0.301648i | \(-0.902463\pi\) |
0.00773802 | − | 0.999970i | \(-0.497537\pi\) | |||||||
\(702\) | −1.11430 | + | 3.72938i | −0.0420566 | + | 0.140756i | ||||
\(703\) | −31.5509 | − | 43.4260i | −1.18996 | − | 1.63784i | ||||
\(704\) | −20.3399 | + | 1.06597i | −0.766591 | + | 0.0401753i | ||||
\(705\) | 6.04315 | + | 5.44128i | 0.227598 | + | 0.204930i | ||||
\(706\) | 24.2665 | + | 26.9506i | 0.913281 | + | 1.01430i | ||||
\(707\) | 17.0441 | − | 17.0441i | 0.641010 | − | 0.641010i | ||||
\(708\) | −20.5226 | + | 5.49901i | −0.771285 | + | 0.206665i | ||||
\(709\) | 37.9607 | + | 1.98944i | 1.42565 | + | 0.0747149i | 0.749476 | − | 0.662031i | \(-0.230305\pi\) |
0.676169 | + | 0.736746i | \(0.263639\pi\) | |||||||
\(710\) | 1.37278 | + | 8.66737i | 0.0515194 | + | 0.325281i | ||||
\(711\) | −29.4949 | + | 3.10004i | −1.10615 | + | 0.116261i | ||||
\(712\) | −16.9805 | − | 29.4111i | −0.636371 | − | 1.10223i | ||||
\(713\) | −0.755714 | − | 6.34675i | −0.0283017 | − | 0.237688i | ||||
\(714\) | 13.4524i | 0.503443i | ||||||||
\(715\) | −5.72568 | − | 0.767596i | −0.214128 | − | 0.0287065i | ||||
\(716\) | −2.32496 | + | 3.20003i | −0.0868877 | + | 0.119591i | ||||
\(717\) | −13.4031 | + | 20.6390i | −0.500550 | + | 0.770779i | ||||
\(718\) | 2.10098 | + | 3.63900i | 0.0784078 | + | 0.135806i | ||||
\(719\) | −22.1632 | + | 38.3878i | −0.826548 | + | 1.43162i | 0.0741820 | + | 0.997245i | \(0.476365\pi\) |
−0.900730 | + | 0.434379i | \(0.856968\pi\) | |||||||
\(720\) | 1.55106 | + | 3.04412i | 0.0578046 | + | 0.113448i | ||||
\(721\) | −24.8537 | + | 16.1402i | −0.925598 | + | 0.601091i | ||||
\(722\) | −2.33685 | − | 3.59844i | −0.0869686 | − | 0.133920i | ||||
\(723\) | 44.6713 | + | 7.07524i | 1.66134 | + | 0.263131i | ||||
\(724\) | −0.456110 | + | 0.410684i | −0.0169512 | + | 0.0152629i | ||||
\(725\) | −18.5428 | − | 8.25579i | −0.688663 | − | 0.306612i | ||||
\(726\) | −7.57225 | − | 9.35095i | −0.281033 | − | 0.347046i | ||||
\(727\) | 22.0841 | − | 7.17555i | 0.819053 | − | 0.266127i | 0.130626 | − | 0.991432i | \(-0.458301\pi\) |
0.688428 | + | 0.725305i | \(0.258301\pi\) | |||||||
\(728\) | −21.5437 | + | 18.3121i | −0.798464 | + | 0.678690i | ||||
\(729\) | −27.1853 | − | 19.7513i | −1.00686 | − | 0.731528i | ||||
\(730\) | 1.78824 | − | 0.0937178i | 0.0661858 | − | 0.00346865i | ||||
\(731\) | 1.37066 | − | 13.0410i | 0.0506957 | − | 0.482338i | ||||
\(732\) | −5.82344 | + | 0.612068i | −0.215240 | + | 0.0226227i | ||||
\(733\) | −12.1009 | − | 23.7493i | −0.446957 | − | 0.877202i | −0.999057 | − | 0.0434241i | \(-0.986173\pi\) |
0.552100 | − | 0.833778i | \(-0.313827\pi\) | |||||||
\(734\) | 3.54319 | − | 4.37548i | 0.130782 | − | 0.161502i | ||||
\(735\) | 0.564289 | − | 0.366453i | 0.0208141 | − | 0.0135168i | ||||
\(736\) | −4.48337 | − | 2.28439i | −0.165259 | − | 0.0842038i | ||||
\(737\) | 4.44372 | − | 4.00114i | 0.163686 | − | 0.147384i | ||||
\(738\) | −23.8329 | + | 13.7599i | −0.877301 | + | 0.506510i | ||||
\(739\) | −24.6705 | − | 6.61043i | −0.907518 | − | 0.243169i | −0.225276 | − | 0.974295i | \(-0.572328\pi\) |
−0.682242 | + | 0.731126i | \(0.738995\pi\) | |||||||
\(740\) | 1.81743 | − | 5.59349i | 0.0668102 | − | 0.205621i | ||||
\(741\) | 39.5046 | − | 18.7280i | 1.45124 | − | 0.687992i | ||||
\(742\) | −11.8727 | − | 16.3414i | −0.435862 | − | 0.599913i | ||||
\(743\) | 1.67112 | − | 6.23669i | 0.0613073 | − | 0.228802i | −0.928474 | − | 0.371398i | \(-0.878878\pi\) |
0.989781 | + | 0.142596i | \(0.0455451\pi\) | |||||||
\(744\) | 11.7198 | + | 41.4436i | 0.429667 | + | 1.51939i | ||||
\(745\) | 4.65382 | + | 2.68689i | 0.170503 | + | 0.0984399i | ||||
\(746\) | −4.15388 | + | 26.2265i | −0.152084 | + | 0.960222i | ||||
\(747\) | −15.2180 | − | 5.84163i | −0.556796 | − | 0.213734i | ||||
\(748\) | −0.217592 | + | 4.15190i | −0.00795595 | + | 0.151809i | ||||
\(749\) | 31.0709 | + | 31.0709i | 1.13531 | + | 1.13531i | ||||
\(750\) | −14.1527 | − | 8.17105i | −0.516783 | − | 0.298365i | ||||
\(751\) | 3.17602 | + | 14.9420i | 0.115895 | + | 0.545241i | 0.997336 | + | 0.0729475i | \(0.0232406\pi\) |
−0.881441 | + | 0.472294i | \(0.843426\pi\) | |||||||
\(752\) | −8.27944 | + | 0.433907i | −0.301920 | + | 0.0158230i | ||||
\(753\) | −2.02165 | + | 0.656874i | −0.0736731 | + | 0.0239378i | ||||
\(754\) | −15.7741 | − | 6.57764i | −0.574459 | − | 0.239544i | ||||
\(755\) | 6.23186 | + | 2.02486i | 0.226801 | + | 0.0736920i | ||||
\(756\) | 0.774949 | + | 2.01881i | 0.0281846 | + | 0.0734234i | ||||
\(757\) | −1.24211 | − | 0.130551i | −0.0451452 | − | 0.00474495i | 0.0819289 | − | 0.996638i | \(-0.473892\pi\) |
−0.127074 | + | 0.991893i | \(0.540559\pi\) | |||||||
\(758\) | 4.89824 | − | 23.0444i | 0.177912 | − | 0.837011i | ||||
\(759\) | 1.16511 | + | 7.35623i | 0.0422909 | + | 0.267014i | ||||
\(760\) | 3.28212 | − | 8.55022i | 0.119055 | − | 0.310149i | ||||
\(761\) | −3.90749 | + | 2.53756i | −0.141647 | + | 0.0919863i | −0.613517 | − | 0.789682i | \(-0.710246\pi\) |
0.471870 | + | 0.881668i | \(0.343579\pi\) | |||||||
\(762\) | −5.34596 | − | 33.7531i | −0.193664 | − | 1.22274i | ||||
\(763\) | 3.81514 | + | 36.2987i | 0.138117 | + | 1.31410i | ||||
\(764\) | −0.107916 | − | 0.507704i | −0.00390426 | − | 0.0183681i | ||||
\(765\) | 3.81636 | − | 1.46496i | 0.137981 | − | 0.0529659i | ||||
\(766\) | −7.75912 | − | 23.8801i | −0.280348 | − | 0.862824i | ||||
\(767\) | 23.4536 | − | 27.3293i | 0.846860 | − | 0.986805i | ||||
\(768\) | 38.7629 | + | 12.5948i | 1.39873 | + | 0.454476i | ||||
\(769\) | −20.7504 | − | 5.56006i | −0.748280 | − | 0.200501i | −0.135525 | − | 0.990774i | \(-0.543272\pi\) |
−0.612755 | + | 0.790273i | \(0.709939\pi\) | |||||||
\(770\) | 3.83003 | − | 2.21127i | 0.138025 | − | 0.0796886i | ||||
\(771\) | 15.9846 | + | 17.7527i | 0.575672 | + | 0.639348i | ||||
\(772\) | 7.75320 | − | 1.22799i | 0.279044 | − | 0.0441962i | ||||
\(773\) | −4.97750 | + | 6.14670i | −0.179028 | + | 0.221082i | −0.858758 | − | 0.512381i | \(-0.828764\pi\) |
0.679730 | + | 0.733462i | \(0.262097\pi\) | |||||||
\(774\) | 6.43980 | + | 24.0337i | 0.231474 | + | 0.863872i | ||||
\(775\) | −19.3093 | − | 16.9098i | −0.693609 | − | 0.607416i | ||||
\(776\) | −21.2446 | + | 36.7967i | −0.762636 | + | 1.32092i | ||||
\(777\) | −29.5301 | + | 66.3258i | −1.05939 | + | 2.37942i | ||||
\(778\) | 3.02917 | + | 3.74072i | 0.108601 | + | 0.134111i | ||||
\(779\) | 34.3178 | + | 11.1505i | 1.22956 | + | 0.399509i | ||||
\(780\) | 4.20429 | + | 2.29565i | 0.150538 | + | 0.0821974i | ||||
\(781\) | − | 33.4800i | − | 1.19801i | ||||||
\(782\) | 1.29703 | − | 1.99724i | 0.0463815 | − | 0.0714213i | ||||
\(783\) | −2.95438 | + | 3.28118i | −0.105581 | + | 0.117260i | ||||
\(784\) | −0.142625 | + | 0.670997i | −0.00509375 | + | 0.0239642i | ||||
\(785\) | 0.135638 | − | 0.856386i | 0.00484114 | − | 0.0305657i | ||||
\(786\) | 0.346789 | − | 6.61712i | 0.0123695 | − | 0.236025i | ||||
\(787\) | −17.7508 | − | 14.3743i | −0.632747 | − | 0.512388i | 0.258438 | − | 0.966028i | \(-0.416792\pi\) |
−0.891185 | + | 0.453639i | \(0.850125\pi\) | |||||||
\(788\) | 10.2676 | − | 1.62622i | 0.365766 | − | 0.0579317i | ||||
\(789\) | −22.9681 | − | 4.88202i | −0.817687 | − | 0.173805i | ||||
\(790\) | 0.613699 | − | 5.83896i | 0.0218344 | − | 0.207741i | ||||
\(791\) | 25.0099 | − | 20.2527i | 0.889251 | − | 0.720101i | ||||
\(792\) | −8.23494 | − | 25.3445i | −0.292616 | − | 0.900579i | ||||
\(793\) | 7.56245 | − | 6.42804i | 0.268551 | − | 0.228267i | ||||
\(794\) | −27.2444 | + | 19.7942i | −0.966867 | + | 0.702470i | ||||
\(795\) | −6.29580 | + | 9.69468i | −0.223289 | + | 0.343835i | ||||
\(796\) | 0.317872 | − | 0.713952i | 0.0112667 | − | 0.0253054i | ||||
\(797\) | −51.1476 | − | 10.8718i | −1.81174 | − | 0.385097i | −0.827433 | − | 0.561564i | \(-0.810200\pi\) |
−0.984307 | + | 0.176467i | \(0.943533\pi\) | |||||||
\(798\) | −15.1947 | + | 29.8214i | −0.537888 | + | 1.05566i | ||||
\(799\) | −0.519174 | + | 9.90644i | −0.0183671 | + | 0.350465i | ||||
\(800\) | −19.5178 | + | 5.22979i | −0.690060 | + | 0.184901i | ||||
\(801\) | 26.6676 | − | 26.6676i | 0.942255 | − | 0.942255i | ||||
\(802\) | −6.45750 | + | 5.81436i | −0.228022 | + | 0.205312i | ||||
\(803\) | −6.79446 | − | 0.714126i | −0.239771 | − | 0.0252010i | ||||
\(804\) | −4.62896 | + | 1.77689i | −0.163251 | + | 0.0626662i | ||||
\(805\) | 1.83836 | 0.0647938 | ||||||||
\(806\) | −16.5928 | − | 13.8468i | −0.584455 | − | 0.487734i | ||||
\(807\) | 36.1306 | 1.27186 | ||||||||
\(808\) | 26.8433 | − | 10.3042i | 0.944343 | − | 0.362499i | ||||
\(809\) | 48.5633 | + | 5.10420i | 1.70739 | + | 0.179454i | 0.907318 | − | 0.420445i | \(-0.138126\pi\) |
0.800075 | + | 0.599899i | \(0.204793\pi\) | |||||||
\(810\) | 3.82421 | − | 3.44334i | 0.134369 | − | 0.120987i | ||||
\(811\) | 0.589229 | − | 0.589229i | 0.0206906 | − | 0.0206906i | −0.696686 | − | 0.717376i | \(-0.745343\pi\) |
0.717376 | + | 0.696686i | \(0.245343\pi\) | |||||||
\(812\) | −9.17147 | + | 2.45749i | −0.321856 | + | 0.0862409i | ||||
\(813\) | 0.117248 | − | 2.23722i | 0.00411205 | − | 0.0784626i | ||||
\(814\) | 14.0372 | − | 27.5495i | 0.492003 | − | 0.965609i | ||||
\(815\) | −6.20069 | − | 1.31800i | −0.217201 | − | 0.0461674i | ||||
\(816\) | −3.19249 | + | 7.17045i | −0.111759 | + | 0.251016i | ||||
\(817\) | 17.7685 | − | 27.3611i | 0.621642 | − | 0.957244i | ||||
\(818\) | −18.3803 | + | 13.3540i | −0.642651 | + | 0.466913i | ||||
\(819\) | −25.8347 | − | 17.8459i | −0.902738 | − | 0.623587i | ||||
\(820\) | 1.22174 | + | 3.76013i | 0.0426650 | + | 0.131309i | ||||
\(821\) | 17.6397 | − | 14.2843i | 0.615629 | − | 0.498526i | −0.270037 | − | 0.962850i | \(-0.587036\pi\) |
0.885666 | + | 0.464324i | \(0.153703\pi\) | |||||||
\(822\) | 2.45656 | − | 23.3726i | 0.0856822 | − | 0.815212i | ||||
\(823\) | 31.9315 | + | 6.78726i | 1.11306 | + | 0.236589i | 0.727510 | − | 0.686097i | \(-0.240677\pi\) |
0.385553 | + | 0.922686i | \(0.374011\pi\) | |||||||
\(824\) | −34.9151 | + | 5.53001i | −1.21632 | + | 0.192647i | ||||
\(825\) | 23.2435 | + | 18.8222i | 0.809236 | + | 0.655306i | ||||
\(826\) | −1.44291 | + | 27.5324i | −0.0502054 | + | 0.957976i | ||||
\(827\) | −6.23749 | + | 39.3819i | −0.216899 | + | 1.36944i | 0.603368 | + | 0.797463i | \(0.293825\pi\) |
−0.820267 | + | 0.571981i | \(0.806175\pi\) | |||||||
\(828\) | 0.681807 | − | 3.20765i | 0.0236944 | − | 0.111474i | ||||
\(829\) | 1.85162 | − | 2.05644i | 0.0643096 | − | 0.0714230i | −0.710131 | − | 0.704069i | \(-0.751365\pi\) |
0.774441 | + | 0.632646i | \(0.218031\pi\) | |||||||
\(830\) | 1.75752 | − | 2.70635i | 0.0610046 | − | 0.0939388i | ||||
\(831\) | − | 43.0491i | − | 1.49336i | ||||||
\(832\) | −27.4676 | + | 8.06558i | −0.952267 | + | 0.279624i | ||||
\(833\) | 0.780619 | + | 0.253639i | 0.0270469 | + | 0.00878806i | ||||
\(834\) | 14.7867 | + | 18.2601i | 0.512022 | + | 0.632294i | ||||
\(835\) | −0.00713820 | + | 0.0160327i | −0.000247028 | + | 0.000554833i | ||||
\(836\) | −5.17201 | + | 8.95818i | −0.178878 | + | 0.309825i | ||||
\(837\) | −4.79623 | + | 2.85802i | −0.165782 | + | 0.0987878i | ||||
\(838\) | −4.54131 | − | 16.9484i | −0.156877 | − | 0.585473i | ||||
\(839\) | −12.9038 | + | 15.9349i | −0.445490 | + | 0.550134i | −0.949583 | − | 0.313515i | \(-0.898493\pi\) |
0.504093 | + | 0.863649i | \(0.331827\pi\) | |||||||
\(840\) | −12.2350 | + | 1.93784i | −0.422149 | + | 0.0668618i | ||||
\(841\) | 6.43244 | + | 7.14395i | 0.221808 | + | 0.246343i | ||||
\(842\) | −11.5927 | + | 6.69303i | −0.399509 | + | 0.230657i | ||||
\(843\) | −39.8632 | − | 10.6813i | −1.37296 | − | 0.367884i | ||||
\(844\) | −10.2577 | − | 3.33294i | −0.353085 | − | 0.114724i | ||||
\(845\) | −8.07897 | + | 0.810475i | −0.277925 | + | 0.0278812i | ||||
\(846\) | −5.81669 | − | 17.9019i | −0.199982 | − | 0.615481i | ||||
\(847\) | 10.5784 | − | 4.06066i | 0.363478 | − | 0.139526i | ||||
\(848\) | −2.45035 | − | 11.5280i | −0.0841453 | − | 0.395872i | ||||
\(849\) | 7.78838 | + | 74.1015i | 0.267296 | + | 2.54316i | ||||
\(850\) | −1.49602 | − | 9.44547i | −0.0513129 | − | 0.323977i | ||||
\(851\) | 10.7791 | − | 7.00005i | 0.369504 | − | 0.239959i | ||||
\(852\) | −9.94887 | + | 25.9177i | −0.340843 | + | 0.887926i | ||||
\(853\) | 7.95869 | + | 50.2492i | 0.272500 | + | 1.72050i | 0.621532 | + | 0.783389i | \(0.286511\pi\) |
−0.349031 | + | 0.937111i | \(0.613489\pi\) | |||||||
\(854\) | −1.57978 | + | 7.43228i | −0.0540589 | + | 0.254327i | ||||
\(855\) | 10.1148 | + | 1.06311i | 0.345920 | + | 0.0363577i | ||||
\(856\) | 18.7842 | + | 48.9344i | 0.642030 | + | 1.67254i | ||||
\(857\) | −6.69382 | − | 2.17495i | −0.228656 | − | 0.0742950i | 0.192448 | − | 0.981307i | \(-0.438357\pi\) |
−0.421104 | + | 0.907012i | \(0.638357\pi\) | |||||||
\(858\) | 19.9428 | + | 15.3778i | 0.680836 | + | 0.524990i | ||||
\(859\) | −15.6697 | + | 5.09139i | −0.534643 | + | 0.173716i | −0.563880 | − | 0.825857i | \(-0.690692\pi\) |
0.0292377 | + | 0.999572i | \(0.490692\pi\) | |||||||
\(860\) | 3.56969 | − | 0.187080i | 0.121726 | − | 0.00637936i | ||||
\(861\) | −10.1473 | − | 47.7394i | −0.345820 | − | 1.62695i | ||||
\(862\) | −22.9938 | − | 13.2755i | −0.783173 | − | 0.452165i | ||||
\(863\) | 38.7557 | + | 38.7557i | 1.31926 | + | 1.31926i | 0.914363 | + | 0.404897i | \(0.132692\pi\) |
0.404897 | + | 0.914363i | \(0.367308\pi\) | |||||||
\(864\) | −0.230037 | + | 4.38938i | −0.00782603 | + | 0.149330i | ||||
\(865\) | 7.60253 | + | 2.91834i | 0.258494 | + | 0.0992264i | ||||
\(866\) | 1.83796 | − | 11.6045i | 0.0624566 | − | 0.394335i | ||||
\(867\) | −29.1017 | − | 16.8019i | −0.988345 | − | 0.570621i | ||||
\(868\) | −11.9977 | − | 0.462942i | −0.407230 | − | 0.0157133i | ||||
\(869\) | −5.79744 | + | 21.6363i | −0.196665 | + | 0.733962i | ||||
\(870\) | −4.40110 | − | 6.05760i | −0.149211 | − | 0.205372i | ||||
\(871\) | 4.77670 | − | 6.91502i | 0.161852 | − | 0.234306i | ||||
\(872\) | −13.4540 | + | 41.4073i | −0.455612 | + | 1.40223i | ||||
\(873\) | −45.5765 | − | 12.2122i | −1.54253 | − | 0.413320i | ||||
\(874\) | 5.13118 | − | 2.96249i | 0.173565 | − | 0.100208i | ||||
\(875\) | 11.4366 | − | 10.2975i | 0.386627 | − | 0.348120i | ||||
\(876\) | 5.04754 | + | 2.57185i | 0.170541 | + | 0.0868948i | ||||
\(877\) | 6.86232 | − | 4.45644i | 0.231724 | − | 0.150483i | −0.423555 | − | 0.905871i | \(-0.639218\pi\) |
0.655279 | + | 0.755387i | \(0.272551\pi\) | |||||||
\(878\) | −25.3849 | + | 31.3477i | −0.856698 | + | 1.05793i | ||||
\(879\) | −37.3240 | − | 73.2526i | −1.25891 | − | 2.47075i | ||||
\(880\) | 2.56627 | − | 0.269726i | 0.0865090 | − | 0.00909246i | ||||
\(881\) | 0.727910 | − | 6.92560i | 0.0245239 | − | 0.233329i | −0.975393 | − | 0.220471i | \(-0.929240\pi\) |
0.999917 | − | 0.0128579i | \(-0.00409290\pi\) | |||||||
\(882\) | −1.55531 | + | 0.0815105i | −0.0523701 | + | 0.00274460i | ||||
\(883\) | −39.8097 | − | 28.9234i | −1.33970 | − | 0.973350i | −0.999455 | − | 0.0330141i | \(-0.989489\pi\) |
−0.340247 | − | 0.940336i | \(-0.610511\pi\) | |||||||
\(884\) | 1.05130 | + | 5.74821i | 0.0353590 | + | 0.193333i | ||||
\(885\) | 15.0057 | − | 4.87565i | 0.504411 | − | 0.163893i | ||||
\(886\) | 22.1585 | + | 27.3635i | 0.744430 | + | 0.919294i | ||||
\(887\) | 53.3593 | + | 23.7571i | 1.79163 | + | 0.797685i | 0.975560 | + | 0.219733i | \(0.0705185\pi\) |
0.816070 | + | 0.577953i | \(0.196148\pi\) | |||||||
\(888\) | −64.3606 | + | 57.9505i | −2.15980 | + | 1.94469i | ||||
\(889\) | 31.7854 | + | 5.03431i | 1.06605 | + | 0.168845i | ||||
\(890\) | 4.06627 | + | 6.26151i | 0.136302 | + | 0.209886i | ||||
\(891\) | −16.4656 | + | 10.6929i | −0.551620 | + | 0.358226i | ||||
\(892\) | −4.64157 | − | 9.10959i | −0.155411 | − | 0.305012i | ||||
\(893\) | −12.3404 | + | 21.3742i | −0.412956 | + | 0.715261i | ||||
\(894\) | −11.7129 | − | 20.2873i | −0.391738 | − | 0.678510i | ||||
\(895\) | 1.59981 | − | 2.46348i | 0.0534756 | − | 0.0823452i | ||||
\(896\) | −0.330026 | + | 0.454242i | −0.0110254 | + | 0.0151752i | ||||
\(897\) | 3.98308 | + | 9.68077i | 0.132991 | + | 0.323231i | ||||
\(898\) | 3.35250i | 0.111874i | ||||||||
\(899\) | −10.2792 | − | 22.2560i | −0.342829 | − | 0.742281i | ||||
\(900\) | −6.58441 | − | 11.4045i | −0.219480 | − | 0.380151i | ||||
\(901\) | −14.0243 | + | 1.47401i | −0.467216 | + | 0.0491063i | ||||
\(902\) | 3.25151 | + | 20.5292i | 0.108264 | + | 0.683549i | ||||
\(903\) | −44.0663 | − | 2.30942i | −1.46644 | − | 0.0768526i | ||||
\(904\) | 37.0807 | − | 9.93575i | 1.23329 | − | 0.330458i | ||||
\(905\) | 0.322288 | − | 0.322288i | 0.0107132 | − | 0.0107132i | ||||
\(906\) | −19.1134 | − | 21.2276i | −0.635000 | − | 0.705239i | ||||
\(907\) | −39.8499 | − | 35.8810i | −1.32319 | − | 1.19141i | −0.966346 | − | 0.257246i | \(-0.917185\pi\) |
−0.356847 | − | 0.934163i | \(-0.616148\pi\) | |||||||
\(908\) | −6.29559 | + | 0.329938i | −0.208926 | + | 0.0109494i | ||||
\(909\) | 18.7682 | + | 25.8322i | 0.622500 | + | 0.856798i | ||||
\(910\) | 4.51900 | − | 4.26808i | 0.149803 | − | 0.141486i | ||||
\(911\) | −19.0030 | − | 26.1553i | −0.629596 | − | 0.866565i | 0.368411 | − | 0.929663i | \(-0.379902\pi\) |
−0.998007 | + | 0.0630982i | \(0.979902\pi\) | |||||||
\(912\) | −15.1763 | + | 12.2895i | −0.502537 | + | 0.406946i | ||||
\(913\) | −8.23801 | + | 9.14923i | −0.272638 | + | 0.302795i | ||||
\(914\) | 18.8713 | − | 8.40205i | 0.624208 | − | 0.277915i | ||||
\(915\) | 4.29484 | − | 0.680236i | 0.141983 | − | 0.0224879i | ||||
\(916\) | 4.92477 | + | 7.58348i | 0.162719 | + | 0.250565i | ||||
\(917\) | 5.82547 | + | 2.23619i | 0.192374 | + | 0.0738454i | ||||
\(918\) | −2.05463 | − | 0.325422i | −0.0678130 | − | 0.0107405i | ||||
\(919\) | −20.3087 | − | 22.5551i | −0.669924 | − | 0.744026i | 0.308366 | − | 0.951268i | \(-0.400218\pi\) |
−0.978290 | + | 0.207242i | \(0.933551\pi\) | |||||||
\(920\) | 2.00334 | + | 0.891946i | 0.0660483 | + | 0.0294066i | ||||
\(921\) | −1.20178 | − | 22.9313i | −0.0395999 | − | 0.755611i | ||||
\(922\) | 12.6745 | + | 39.0082i | 0.417414 | + | 1.28467i | ||||
\(923\) | −10.8768 | − | 45.7823i | −0.358014 | − | 1.50694i | ||||
\(924\) | 13.9910 | 0.460271 | ||||||||
\(925\) | 13.3583 | − | 49.8540i | 0.439220 | − | 1.63919i | ||||
\(926\) | 2.22368 | + | 10.4616i | 0.0730746 | + | 0.343789i | ||||
\(927\) | −15.9671 | − | 35.8627i | −0.524428 | − | 1.17788i | ||||
\(928\) | −19.0621 | − | 3.01913i | −0.625743 | − | 0.0991079i | ||||
\(929\) | −2.54434 | + | 0.681754i | −0.0834771 | + | 0.0223676i | −0.300316 | − | 0.953840i | \(-0.597092\pi\) |
0.216839 | + | 0.976207i | \(0.430425\pi\) | |||||||
\(930\) | −3.04978 | − | 8.96363i | −0.100006 | − | 0.293929i | ||||
\(931\) | 1.44399 | + | 1.44399i | 0.0473249 | + | 0.0473249i | ||||
\(932\) | 2.25937 | + | 21.4965i | 0.0740082 | + | 0.704141i | ||||
\(933\) | −0.625266 | + | 5.94901i | −0.0204703 | + | 0.194762i | ||||
\(934\) | −27.8119 | − | 18.0612i | −0.910032 | − | 0.590982i | ||||
\(935\) | − | 3.08748i | − | 0.100972i | ||||||
\(936\) | −19.4947 | − | 31.9821i | −0.637203 | − | 1.04537i | ||||
\(937\) | −9.32059 | + | 28.6858i | −0.304491 | + | 0.937125i | 0.675376 | + | 0.737473i | \(0.263981\pi\) |
−0.979867 | + | 0.199652i | \(0.936019\pi\) | |||||||
\(938\) | 0.336732 | + | 6.42523i | 0.0109947 | + | 0.209791i | ||||
\(939\) | 7.54092 | − | 8.37504i | 0.246089 | − | 0.273309i | ||||
\(940\) | −2.68942 | + | 0.282669i | −0.0877191 | + | 0.00921965i | ||||
\(941\) | 24.7741 | − | 12.6230i | 0.807613 | − | 0.411499i | −0.000884079 | − | 1.00000i | \(-0.500281\pi\) |
0.808497 | + | 0.588500i | \(0.200281\pi\) | |||||||
\(942\) | −2.37868 | + | 2.93743i | −0.0775017 | + | 0.0957066i | ||||
\(943\) | −3.09629 | + | 8.06611i | −0.100829 | + | 0.262669i | ||||
\(944\) | −7.30304 | + | 14.3330i | −0.237694 | + | 0.466500i | ||||
\(945\) | −0.653159 | − | 1.46702i | −0.0212473 | − | 0.0477222i | ||||
\(946\) | 18.6895 | + | 1.96434i | 0.607647 | + | 0.0638663i | ||||
\(947\) | −2.72185 | − | 51.9360i | −0.0884482 | − | 1.68769i | −0.578251 | − | 0.815859i | \(-0.696265\pi\) |
0.489803 | − | 0.871833i | \(-0.337069\pi\) | |||||||
\(948\) | 10.9174 | − | 15.0264i | 0.354579 | − | 0.488036i | ||||
\(949\) | −9.52309 | + | 1.23081i | −0.309133 | + | 0.0399537i | ||||
\(950\) | 7.35247 | − | 22.6286i | 0.238545 | − | 0.734168i | ||||
\(951\) | −27.7066 | − | 72.1782i | −0.898449 | − | 2.34054i | ||||
\(952\) | −11.2301 | − | 10.1116i | −0.363968 | − | 0.327719i | ||||
\(953\) | 14.8027 | + | 3.14641i | 0.479507 | + | 0.101922i | 0.441323 | − | 0.897348i | \(-0.354509\pi\) |
0.0381840 | + | 0.999271i | \(0.487843\pi\) | |||||||
\(954\) | 23.8411 | − | 12.1477i | 0.771885 | − | 0.393295i | ||||
\(955\) | 0.0997619 | + | 0.372316i | 0.00322822 | + | 0.0120479i | ||||
\(956\) | −2.11811 | − | 7.90489i | −0.0685045 | − | 0.255662i | ||||
\(957\) | 12.9691 | + | 25.4532i | 0.419230 | + | 0.822785i | ||||
\(958\) | −5.36760 | + | 2.38981i | −0.173419 | + | 0.0772112i | ||||
\(959\) | 20.2179 | + | 9.00161i | 0.652871 | + | 0.290677i | ||||
\(960\) | −12.1146 | − | 3.24610i | −0.390998 | − | 0.104768i | ||||
\(961\) | −4.08954 | − | 30.7291i | −0.131921 | − | 0.991260i | ||||
\(962\) | 10.2450 | − | 42.2329i | 0.330313 | − | 1.36164i | ||||
\(963\) | −47.0912 | + | 34.2138i | −1.51749 | + | 1.10252i | ||||
\(964\) | −11.6887 | + | 9.46531i | −0.376467 | + | 0.304857i | ||||
\(965\) | −5.70200 | + | 1.21200i | −0.183554 | + | 0.0390156i | ||||
\(966\) | −6.94028 | − | 4.00697i | −0.223300 | − | 0.128922i | ||||
\(967\) | 22.8868 | + | 22.8868i | 0.735989 | + | 0.735989i | 0.971799 | − | 0.235810i | \(-0.0757744\pi\) |
−0.235810 | + | 0.971799i | \(0.575774\pi\) | |||||||
\(968\) | 13.4979 | + | 0.707396i | 0.433839 | + | 0.0227366i | ||||
\(969\) | 12.7259 | + | 19.5962i | 0.408815 | + | 0.629519i | ||||
\(970\) | 4.24064 | − | 8.32273i | 0.136159 | − | 0.267227i | ||||
\(971\) | 0.115782 | + | 1.10159i | 0.00371562 | + | 0.0353518i | 0.996223 | − | 0.0868361i | \(-0.0276756\pi\) |
−0.992507 | + | 0.122188i | \(0.961009\pi\) | |||||||
\(972\) | 18.3988 | − | 3.91079i | 0.590142 | − | 0.125439i | ||||
\(973\) | −20.6569 | + | 7.92945i | −0.662231 | + | 0.254207i | ||||
\(974\) | 37.2904 | + | 27.0931i | 1.19486 | + | 0.868118i | ||||
\(975\) | 37.8992 | + | 18.1873i | 1.21375 | + | 0.582459i | ||||
\(976\) | −2.60587 | + | 3.58667i | −0.0834118 | + | 0.114807i | ||||
\(977\) | −9.06773 | − | 11.1977i | −0.290102 | − | 0.358247i | 0.611170 | − | 0.791499i | \(-0.290699\pi\) |
−0.901272 | + | 0.433253i | \(0.857366\pi\) | |||||||
\(978\) | 20.5364 | + | 18.4911i | 0.656682 | + | 0.591279i | ||||
\(979\) | −11.5856 | − | 26.0217i | −0.370278 | − | 0.831658i | ||||
\(980\) | −0.0350023 | + | 0.220996i | −0.00111811 | + | 0.00705945i | ||||
\(981\) | −48.2830 | − | 2.53041i | −1.54156 | − | 0.0807896i | ||||
\(982\) | 19.2209 | + | 15.5648i | 0.613365 | + | 0.496693i | ||||
\(983\) | 31.0078 | + | 15.7993i | 0.988996 | + | 0.503919i | 0.872154 | − | 0.489232i | \(-0.162723\pi\) |
0.116842 | + | 0.993150i | \(0.462723\pi\) | |||||||
\(984\) | 12.1045 | − | 56.9470i | 0.385876 | − | 1.81541i | ||||
\(985\) | −7.55116 | + | 1.60505i | −0.240600 | + | 0.0511411i | ||||
\(986\) | 2.36408 | − | 8.82287i | 0.0752876 | − | 0.280977i | ||||
\(987\) | 33.3826 | 1.06258 | ||||||||
\(988\) | −4.16219 | + | 13.9301i | −0.132417 | + | 0.443177i | ||||
\(989\) | 6.31975 | + | 4.59157i | 0.200956 | + | 0.146003i | ||||
\(990\) | 2.09949 | + | 5.46937i | 0.0667263 | + | 0.173828i | ||||
\(991\) | −3.11307 | + | 1.79733i | −0.0988900 | + | 0.0570942i | −0.548629 | − | 0.836066i | \(-0.684850\pi\) |
0.449739 | + | 0.893160i | \(0.351517\pi\) | |||||||
\(992\) | −21.8957 | − | 10.7786i | −0.695188 | − | 0.342221i | ||||
\(993\) | −35.7421 | + | 35.7421i | −1.13424 | + | 1.13424i | ||||
\(994\) | 27.9962 | + | 22.6709i | 0.887987 | + | 0.719078i | ||||
\(995\) | −0.207984 | + | 0.541817i | −0.00659354 | + | 0.0171768i | ||||
\(996\) | 9.09601 | − | 4.63465i | 0.288218 | − | 0.146854i | ||||
\(997\) | 4.60722 | − | 7.97995i | 0.145912 | − | 0.252727i | −0.783801 | − | 0.621012i | \(-0.786722\pi\) |
0.929713 | + | 0.368285i | \(0.120055\pi\) | |||||||
\(998\) | −6.20650 | − | 10.7500i | −0.196463 | − | 0.340285i | ||||
\(999\) | −9.41583 | − | 6.11471i | −0.297904 | − | 0.193461i |
(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 | 403.2.cb.a.15.13 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.13 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.13 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.13 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.13 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.13 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.13 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.13 | yes | 576 | 403.215 | even | 60 | inner |