Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [418,2,Mod(5,418)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(418, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 80]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("418.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 418 = 2 \cdot 11 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 418.u (of order \(45\), degree \(24\), 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: | \(3.33774680449\) |
Analytic rank: | \(0\) |
Dimension: | \(264\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 9.2 | ||
Character | \(\chi\) | \(=\) | 418.9 |
Dual form | 418.2.u.b.93.2 |
$q$-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 \(\left(\mathbb{Z}/418\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(343\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.990268 | + | 0.139173i | 0.700225 | + | 0.0984102i | ||||
\(3\) | −0.689545 | + | 2.76561i | −0.398109 | + | 1.59673i | 0.352388 | + | 0.935854i | \(0.385370\pi\) |
−0.750497 | + | 0.660874i | \(0.770186\pi\) | |||||||
\(4\) | 0.961262 | + | 0.275637i | 0.480631 | + | 0.137819i | ||||
\(5\) | −0.144956 | + | 4.15100i | −0.0648264 | + | 1.85638i | 0.338047 | + | 0.941129i | \(0.390234\pi\) |
−0.402874 | + | 0.915256i | \(0.631989\pi\) | |||||||
\(6\) | −1.06773 | + | 2.64273i | −0.435900 | + | 1.07889i | ||||
\(7\) | 1.74927 | − | 0.778823i | 0.661160 | − | 0.294368i | −0.0485921 | − | 0.998819i | \(-0.515473\pi\) |
0.709752 | + | 0.704451i | \(0.248807\pi\) | |||||||
\(8\) | 0.913545 | + | 0.406737i | 0.322987 | + | 0.143803i | ||||
\(9\) | −4.52431 | − | 2.40562i | −1.50810 | − | 0.801873i | ||||
\(10\) | −0.721253 | + | 4.09043i | −0.228080 | + | 1.29351i | ||||
\(11\) | 1.86633 | − | 2.74168i | 0.562721 | − | 0.826647i | ||||
\(12\) | −1.42514 | + | 2.46842i | −0.411403 | + | 0.712570i | ||||
\(13\) | 1.69266 | − | 1.05769i | 0.469458 | − | 0.293350i | −0.274487 | − | 0.961591i | \(-0.588508\pi\) |
0.743945 | + | 0.668241i | \(0.232952\pi\) | |||||||
\(14\) | 1.84063 | − | 0.527793i | 0.491930 | − | 0.141059i | ||||
\(15\) | −11.3801 | − | 3.26320i | −2.93833 | − | 0.842554i | ||||
\(16\) | 0.848048 | + | 0.529919i | 0.212012 | + | 0.132480i | ||||
\(17\) | 0.677873 | − | 0.360431i | 0.164408 | − | 0.0874174i | −0.385228 | − | 0.922821i | \(-0.625877\pi\) |
0.549637 | + | 0.835404i | \(0.314766\pi\) | |||||||
\(18\) | −4.14548 | − | 3.01187i | −0.977100 | − | 0.709904i | ||||
\(19\) | −0.328761 | − | 4.34648i | −0.0754230 | − | 0.997152i | ||||
\(20\) | −1.28351 | + | 3.95024i | −0.287002 | + | 0.883302i | ||||
\(21\) | 0.947727 | + | 5.37483i | 0.206811 | + | 1.17288i | ||||
\(22\) | 2.22974 | − | 2.45525i | 0.475382 | − | 0.523462i | ||||
\(23\) | −2.10026 | + | 0.764431i | −0.437934 | + | 0.159395i | −0.551572 | − | 0.834127i | \(-0.685972\pi\) |
0.113638 | + | 0.993522i | \(0.463750\pi\) | |||||||
\(24\) | −1.75481 | + | 2.24605i | −0.358199 | + | 0.458473i | ||||
\(25\) | −12.2220 | − | 0.854645i | −2.44440 | − | 0.170929i | ||||
\(26\) | 1.82339 | − | 0.811823i | 0.357595 | − | 0.159212i | ||||
\(27\) | 4.05110 | − | 4.49920i | 0.779635 | − | 0.865872i | ||||
\(28\) | 1.89617 | − | 0.266490i | 0.358343 | − | 0.0503619i | ||||
\(29\) | 4.56408 | − | 4.40748i | 0.847528 | − | 0.818448i | −0.137561 | − | 0.990493i | \(-0.543926\pi\) |
0.985089 | + | 0.172045i | \(0.0550376\pi\) | |||||||
\(30\) | −10.8152 | − | 4.81525i | −1.97458 | − | 0.879140i | ||||
\(31\) | 4.67307 | + | 5.18997i | 0.839308 | + | 0.932146i | 0.998481 | − | 0.0551051i | \(-0.0175494\pi\) |
−0.159173 | + | 0.987251i | \(0.550883\pi\) | |||||||
\(32\) | 0.766044 | + | 0.642788i | 0.135419 | + | 0.113630i | ||||
\(33\) | 6.29550 | + | 7.05207i | 1.09591 | + | 1.22761i | ||||
\(34\) | 0.721438 | − | 0.262582i | 0.123726 | − | 0.0450324i | ||||
\(35\) | 2.97933 | + | 7.37410i | 0.503599 | + | 1.24645i | ||||
\(36\) | −3.68597 | − | 3.55950i | −0.614328 | − | 0.593250i | ||||
\(37\) | −7.37328 | − | 5.35700i | −1.21216 | − | 0.880685i | −0.216734 | − | 0.976231i | \(-0.569540\pi\) |
−0.995425 | + | 0.0955455i | \(0.969540\pi\) | |||||||
\(38\) | 0.279352 | − | 4.34994i | 0.0453169 | − | 0.705653i | ||||
\(39\) | 1.75800 | + | 5.41056i | 0.281505 | + | 0.866383i | ||||
\(40\) | −1.82079 | + | 3.73317i | −0.287892 | + | 0.590266i | ||||
\(41\) | 0.920603 | − | 3.69234i | 0.143774 | − | 0.576646i | −0.854581 | − | 0.519318i | \(-0.826186\pi\) |
0.998355 | − | 0.0573286i | \(-0.0182583\pi\) | |||||||
\(42\) | 0.190473 | + | 5.45442i | 0.0293906 | + | 0.841635i | ||||
\(43\) | 1.75526 | + | 0.638863i | 0.267675 | + | 0.0974257i | 0.472371 | − | 0.881400i | \(-0.343398\pi\) |
−0.204696 | + | 0.978826i | \(0.565621\pi\) | |||||||
\(44\) | 2.54974 | − | 2.12104i | 0.384388 | − | 0.319759i | ||||
\(45\) | 10.6416 | − | 18.4317i | 1.58635 | − | 2.74764i | ||||
\(46\) | −2.18621 | + | 0.464692i | −0.322338 | + | 0.0685151i | ||||
\(47\) | 4.12916 | + | 8.46604i | 0.602300 | + | 1.23490i | 0.954286 | + | 0.298894i | \(0.0966176\pi\) |
−0.351986 | + | 0.936005i | \(0.614494\pi\) | |||||||
\(48\) | −2.05032 | + | 1.97997i | −0.295938 | + | 0.285784i | ||||
\(49\) | −2.23055 | + | 2.47728i | −0.318650 | + | 0.353897i | ||||
\(50\) | −11.9841 | − | 2.54730i | −1.69481 | − | 0.360243i | ||||
\(51\) | 0.529390 | + | 2.12327i | 0.0741295 | + | 0.297317i | ||||
\(52\) | 1.91862 | − | 0.550157i | 0.266065 | − | 0.0762930i | ||||
\(53\) | 0.337436 | + | 9.66290i | 0.0463504 | + | 1.32730i | 0.770403 | + | 0.637557i | \(0.220055\pi\) |
−0.724053 | + | 0.689744i | \(0.757723\pi\) | |||||||
\(54\) | 4.63784 | − | 3.89161i | 0.631130 | − | 0.529581i | ||||
\(55\) | 11.1102 | + | 8.14458i | 1.49810 | + | 1.09821i | ||||
\(56\) | 1.91481 | 0.255877 | ||||||||
\(57\) | 12.2474 | + | 2.08787i | 1.62221 | + | 0.276545i | ||||
\(58\) | 5.13306 | − | 3.72939i | 0.674004 | − | 0.489692i | ||||
\(59\) | 2.38247 | − | 4.88478i | 0.310171 | − | 0.635945i | −0.685584 | − | 0.727994i | \(-0.740453\pi\) |
0.995754 | + | 0.0920494i | \(0.0293418\pi\) | |||||||
\(60\) | −10.0398 | − | 6.27357i | −1.29613 | − | 0.809915i | ||||
\(61\) | −1.09342 | − | 1.39952i | −0.139998 | − | 0.179190i | 0.712902 | − | 0.701264i | \(-0.247381\pi\) |
−0.852900 | + | 0.522074i | \(0.825158\pi\) | |||||||
\(62\) | 3.90529 | + | 5.78982i | 0.495972 | + | 0.735308i | ||||
\(63\) | −9.78777 | − | 0.684428i | −1.23314 | − | 0.0862298i | ||||
\(64\) | 0.669131 | + | 0.743145i | 0.0836413 | + | 0.0928931i | ||||
\(65\) | 4.14511 | + | 7.17954i | 0.514137 | + | 0.890512i | ||||
\(66\) | 5.25278 | + | 7.85961i | 0.646572 | + | 0.967451i | ||||
\(67\) | 2.05822 | − | 11.6728i | 0.251452 | − | 1.42605i | −0.553567 | − | 0.832805i | \(-0.686734\pi\) |
0.805019 | − | 0.593249i | \(-0.202155\pi\) | |||||||
\(68\) | 0.750961 | − | 0.159622i | 0.0910674 | − | 0.0193570i | ||||
\(69\) | −0.665899 | − | 6.33561i | −0.0801649 | − | 0.762718i | ||||
\(70\) | 1.92406 | + | 7.71698i | 0.229969 | + | 0.922356i | ||||
\(71\) | −0.115744 | + | 3.31447i | −0.0137363 | + | 0.393355i | 0.972979 | + | 0.230894i | \(0.0741652\pi\) |
−0.986715 | + | 0.162460i | \(0.948057\pi\) | |||||||
\(72\) | −3.15471 | − | 4.03784i | −0.371786 | − | 0.475864i | ||||
\(73\) | −15.9068 | + | 1.11231i | −1.86176 | + | 0.130187i | −0.955954 | − | 0.293516i | \(-0.905174\pi\) |
−0.905801 | + | 0.423703i | \(0.860730\pi\) | |||||||
\(74\) | −6.55597 | − | 6.33103i | −0.762116 | − | 0.735967i | ||||
\(75\) | 10.7912 | − | 33.2120i | 1.24606 | − | 3.83499i | ||||
\(76\) | 0.882028 | − | 4.26873i | 0.101176 | − | 0.489657i | ||||
\(77\) | 1.12943 | − | 6.24947i | 0.128711 | − | 0.712193i | ||||
\(78\) | 0.987884 | + | 5.60257i | 0.111856 | + | 0.634366i | ||||
\(79\) | −4.41213 | − | 10.9204i | −0.496403 | − | 1.22864i | −0.942666 | − | 0.333739i | \(-0.891690\pi\) |
0.446262 | − | 0.894902i | \(-0.352755\pi\) | |||||||
\(80\) | −2.32263 | + | 3.44343i | −0.259677 | + | 0.384988i | ||||
\(81\) | 1.05357 | + | 1.56198i | 0.117063 | + | 0.173553i | ||||
\(82\) | 1.42552 | − | 3.52828i | 0.157422 | − | 0.389633i | ||||
\(83\) | 13.0105 | + | 2.76546i | 1.42808 | + | 0.303549i | 0.856140 | − | 0.516744i | \(-0.172856\pi\) |
0.571944 | + | 0.820293i | \(0.306189\pi\) | |||||||
\(84\) | −0.570490 | + | 5.42785i | −0.0622455 | + | 0.592227i | ||||
\(85\) | 1.39789 | + | 2.86610i | 0.151622 | + | 0.310872i | ||||
\(86\) | 1.64927 | + | 0.876931i | 0.177845 | + | 0.0945619i | ||||
\(87\) | 9.04225 | + | 15.6616i | 0.969431 | + | 1.67910i | ||||
\(88\) | 2.82012 | − | 1.74554i | 0.300626 | − | 0.186075i | ||||
\(89\) | −5.37686 | − | 4.51172i | −0.569946 | − | 0.478242i | 0.311682 | − | 0.950187i | \(-0.399108\pi\) |
−0.881628 | + | 0.471945i | \(0.843552\pi\) | |||||||
\(90\) | 13.1032 | − | 16.7713i | 1.38120 | − | 1.76785i | ||||
\(91\) | 2.13715 | − | 3.16846i | 0.224034 | − | 0.332145i | ||||
\(92\) | −2.22960 | + | 0.155909i | −0.232452 | + | 0.0162546i | ||||
\(93\) | −17.5757 | + | 9.34519i | −1.82252 | + | 0.969051i | ||||
\(94\) | 2.91073 | + | 8.95832i | 0.300219 | + | 0.923980i | ||||
\(95\) | 18.0899 | − | 0.734638i | 1.85599 | − | 0.0753723i | ||||
\(96\) | −2.30593 | + | 1.67535i | −0.235348 | + | 0.170990i | ||||
\(97\) | 5.02705 | + | 0.706506i | 0.510420 | + | 0.0717348i | 0.389682 | − | 0.920950i | \(-0.372585\pi\) |
0.120738 | + | 0.992684i | \(0.461474\pi\) | |||||||
\(98\) | −2.55361 | + | 2.14273i | −0.257954 | + | 0.216449i | ||||
\(99\) | −15.0393 | + | 7.91451i | −1.51151 | + | 0.795439i | ||||
\(100\) | −11.5130 | − | 4.19037i | −1.15130 | − | 0.419037i | ||||
\(101\) | −8.01526 | + | 5.00849i | −0.797548 | + | 0.498363i | −0.866452 | − | 0.499260i | \(-0.833605\pi\) |
0.0689043 | + | 0.997623i | \(0.478050\pi\) | |||||||
\(102\) | 0.228736 | + | 2.17628i | 0.0226483 | + | 0.215484i | ||||
\(103\) | −0.391139 | + | 3.72144i | −0.0385401 | + | 0.366685i | 0.958206 | + | 0.286079i | \(0.0923521\pi\) |
−0.996746 | + | 0.0806055i | \(0.974315\pi\) | |||||||
\(104\) | 1.97652 | − | 0.277782i | 0.193814 | − | 0.0272387i | ||||
\(105\) | −22.4483 | + | 3.15490i | −2.19073 | + | 0.307887i | ||||
\(106\) | −1.01066 | + | 9.61582i | −0.0981643 | + | 0.933971i | ||||
\(107\) | 1.04623 | + | 9.95419i | 0.101143 | + | 0.962308i | 0.920953 | + | 0.389673i | \(0.127412\pi\) |
−0.819811 | + | 0.572635i | \(0.805921\pi\) | |||||||
\(108\) | 5.13432 | − | 3.20828i | 0.494050 | − | 0.308717i | ||||
\(109\) | 1.41799 | + | 0.516108i | 0.135819 | + | 0.0494341i | 0.409035 | − | 0.912518i | \(-0.365865\pi\) |
−0.273216 | + | 0.961953i | \(0.588087\pi\) | |||||||
\(110\) | 9.86855 | + | 9.61155i | 0.940929 | + | 0.916426i | ||||
\(111\) | 19.8996 | − | 16.6977i | 1.88879 | − | 1.58488i | ||||
\(112\) | 1.89617 | + | 0.266490i | 0.179172 | + | 0.0251809i | ||||
\(113\) | 3.02459 | − | 2.19749i | 0.284530 | − | 0.206723i | −0.436361 | − | 0.899772i | \(-0.643733\pi\) |
0.720891 | + | 0.693049i | \(0.243733\pi\) | |||||||
\(114\) | 11.8376 | + | 3.77206i | 1.10870 | + | 0.353286i | ||||
\(115\) | −2.86871 | − | 8.82898i | −0.267509 | − | 0.823307i | ||||
\(116\) | 5.60214 | − | 2.97871i | 0.520145 | − | 0.276566i | ||||
\(117\) | −10.2025 | + | 0.713428i | −0.943221 | + | 0.0659565i | ||||
\(118\) | 3.03911 | − | 4.50567i | 0.279773 | − | 0.414780i | ||||
\(119\) | 0.905067 | − | 1.15843i | 0.0829674 | − | 0.106193i | ||||
\(120\) | −9.06900 | − | 7.60979i | −0.827882 | − | 0.694676i | ||||
\(121\) | −4.03360 | − | 10.2338i | −0.366691 | − | 0.930343i | ||||
\(122\) | −0.888007 | − | 1.53807i | −0.0803964 | − | 0.139251i | ||||
\(123\) | 9.57678 | + | 5.09207i | 0.863510 | + | 0.459136i | ||||
\(124\) | 3.06149 | + | 6.27699i | 0.274930 | + | 0.563690i | ||||
\(125\) | 3.14847 | − | 29.9557i | 0.281608 | − | 2.67932i | ||||
\(126\) | −9.59726 | − | 2.03996i | −0.854992 | − | 0.181734i | ||||
\(127\) | −5.12056 | + | 12.6738i | −0.454377 | + | 1.12462i | 0.510020 | + | 0.860162i | \(0.329638\pi\) |
−0.964397 | + | 0.264459i | \(0.914807\pi\) | |||||||
\(128\) | 0.559193 | + | 0.829038i | 0.0494261 | + | 0.0732773i | ||||
\(129\) | −2.97718 | + | 4.41385i | −0.262126 | + | 0.388618i | ||||
\(130\) | 3.10557 | + | 7.68656i | 0.272377 | + | 0.674156i | ||||
\(131\) | −2.19460 | − | 12.4462i | −0.191743 | − | 1.08743i | −0.916981 | − | 0.398930i | \(-0.869381\pi\) |
0.725238 | − | 0.688498i | \(-0.241730\pi\) | |||||||
\(132\) | 4.10781 | + | 8.51416i | 0.357539 | + | 0.741063i | ||||
\(133\) | −3.96023 | − | 7.34711i | −0.343396 | − | 0.637075i | ||||
\(134\) | 3.66272 | − | 11.2727i | 0.316411 | − | 0.973814i | ||||
\(135\) | 18.0890 | + | 17.4683i | 1.55685 | + | 1.50343i | ||||
\(136\) | 0.765868 | − | 0.0535547i | 0.0656726 | − | 0.00459228i | ||||
\(137\) | 8.86980 | + | 11.3528i | 0.757798 | + | 0.969937i | 1.00000 | 0.000288807i | \(-9.19300e-5\pi\) | |
−0.242202 | + | 0.970226i | \(0.577870\pi\) | |||||||
\(138\) | 0.222328 | − | 6.36663i | 0.0189258 | − | 0.541963i | ||||
\(139\) | 1.92224 | + | 7.70967i | 0.163042 | + | 0.653926i | 0.995069 | + | 0.0991901i | \(0.0316252\pi\) |
−0.832026 | + | 0.554736i | \(0.812819\pi\) | |||||||
\(140\) | 0.831338 | + | 7.90966i | 0.0702609 | + | 0.668488i | ||||
\(141\) | −26.2610 | + | 5.58196i | −2.21158 | + | 0.470086i | ||||
\(142\) | −0.575902 | + | 3.26610i | −0.0483286 | + | 0.274085i | ||||
\(143\) | 0.259219 | − | 6.61472i | 0.0216770 | − | 0.553151i | ||||
\(144\) | −2.56205 | − | 4.43760i | −0.213504 | − | 0.369800i | ||||
\(145\) | 17.6339 | + | 19.5844i | 1.46441 | + | 1.62639i | ||||
\(146\) | −15.9068 | − | 1.11231i | −1.31646 | − | 0.0920558i | ||||
\(147\) | −5.31313 | − | 7.87703i | −0.438219 | − | 0.649687i | ||||
\(148\) | −5.61106 | − | 7.18183i | −0.461226 | − | 0.590343i | ||||
\(149\) | −15.1388 | − | 9.45977i | −1.24022 | − | 0.774975i | −0.258629 | − | 0.965977i | \(-0.583271\pi\) |
−0.981590 | + | 0.191002i | \(0.938826\pi\) | |||||||
\(150\) | 15.3084 | − | 31.3869i | 1.24993 | − | 2.56273i | ||||
\(151\) | 13.2593 | − | 9.63342i | 1.07902 | − | 0.783957i | 0.101511 | − | 0.994834i | \(-0.467632\pi\) |
0.977512 | + | 0.210878i | \(0.0676322\pi\) | |||||||
\(152\) | 1.46754 | − | 4.10443i | 0.119033 | − | 0.332913i | ||||
\(153\) | −3.93397 | −0.318042 | ||||||||
\(154\) | 1.98820 | − | 6.03146i | 0.160214 | − | 0.486029i | ||||
\(155\) | −22.2210 | + | 18.6456i | −1.78483 | + | 1.49765i | ||||
\(156\) | 0.198543 | + | 5.68553i | 0.0158962 | + | 0.455207i | ||||
\(157\) | 9.05304 | − | 2.59592i | 0.722511 | − | 0.207177i | 0.105824 | − | 0.994385i | \(-0.466252\pi\) |
0.616687 | + | 0.787208i | \(0.288474\pi\) | |||||||
\(158\) | −2.84936 | − | 11.4282i | −0.226683 | − | 0.909177i | ||||
\(159\) | −26.9565 | − | 5.72979i | −2.13779 | − | 0.454402i | ||||
\(160\) | −2.77926 | + | 3.08668i | −0.219719 | + | 0.244023i | ||||
\(161\) | −3.07855 | + | 2.97292i | −0.242624 | + | 0.234299i | ||||
\(162\) | 0.825928 | + | 1.69340i | 0.0648910 | + | 0.133046i | ||||
\(163\) | −15.1687 | + | 3.22421i | −1.18811 | + | 0.252540i | −0.759229 | − | 0.650823i | \(-0.774424\pi\) |
−0.428877 | + | 0.903363i | \(0.641091\pi\) | |||||||
\(164\) | 1.90269 | − | 3.29555i | 0.148575 | − | 0.257339i | ||||
\(165\) | −30.1857 | + | 25.1104i | −2.34996 | + | 1.95484i | ||||
\(166\) | 12.4990 | + | 4.54925i | 0.970108 | + | 0.353091i | ||||
\(167\) | −0.437463 | − | 12.5273i | −0.0338519 | − | 0.969392i | −0.890912 | − | 0.454176i | \(-0.849934\pi\) |
0.857060 | − | 0.515216i | \(-0.172288\pi\) | |||||||
\(168\) | −1.32035 | + | 5.29563i | −0.101867 | + | 0.408566i | ||||
\(169\) | −3.95245 | + | 8.10371i | −0.304034 | + | 0.623363i | ||||
\(170\) | 0.985401 | + | 3.03275i | 0.0755768 | + | 0.232602i | ||||
\(171\) | −8.96856 | + | 20.4557i | −0.685843 | + | 1.56429i | ||||
\(172\) | 1.51117 | + | 1.09793i | 0.115226 | + | 0.0837164i | ||||
\(173\) | −14.0389 | − | 13.5572i | −1.06736 | − | 1.03073i | −0.999454 | − | 0.0330428i | \(-0.989480\pi\) |
−0.0679031 | − | 0.997692i | \(-0.521631\pi\) | |||||||
\(174\) | 6.77457 | + | 16.7676i | 0.513579 | + | 1.27115i | ||||
\(175\) | −22.0451 | + | 8.02377i | −1.66645 | + | 0.606540i | ||||
\(176\) | 3.03561 | − | 1.33607i | 0.228818 | − | 0.100710i | ||||
\(177\) | 11.8666 | + | 9.95727i | 0.891949 | + | 0.748434i | ||||
\(178\) | −4.69663 | − | 5.21613i | −0.352027 | − | 0.390966i | ||||
\(179\) | 6.69939 | + | 2.98276i | 0.500736 | + | 0.222942i | 0.641531 | − | 0.767097i | \(-0.278299\pi\) |
−0.140796 | + | 0.990039i | \(0.544966\pi\) | |||||||
\(180\) | 15.3098 | − | 14.7845i | 1.14112 | − | 1.10197i | ||||
\(181\) | 9.26961 | − | 1.30276i | 0.689005 | − | 0.0968333i | 0.214023 | − | 0.976829i | \(-0.431343\pi\) |
0.474982 | + | 0.879995i | \(0.342454\pi\) | |||||||
\(182\) | 2.55732 | − | 2.84019i | 0.189561 | − | 0.210529i | ||||
\(183\) | 4.62449 | − | 2.05896i | 0.341852 | − | 0.152202i | ||||
\(184\) | −2.22960 | − | 0.155909i | −0.164368 | − | 0.0114938i | ||||
\(185\) | 23.3057 | − | 29.8300i | 1.71347 | − | 2.19314i | ||||
\(186\) | −18.7053 | + | 6.80817i | −1.37154 | + | 0.499199i | ||||
\(187\) | 0.276950 | − | 2.53119i | 0.0202526 | − | 0.185099i | ||||
\(188\) | 1.63565 | + | 9.27623i | 0.119292 | + | 0.676539i | ||||
\(189\) | 3.58237 | − | 11.0254i | 0.260579 | − | 0.801979i | ||||
\(190\) | 18.0161 | + | 1.79014i | 1.30703 | + | 0.129870i | ||||
\(191\) | 15.5772 | + | 11.3175i | 1.12712 | + | 0.818904i | 0.985274 | − | 0.170984i | \(-0.0546946\pi\) |
0.141851 | + | 0.989888i | \(0.454695\pi\) | |||||||
\(192\) | −2.51665 | + | 1.33813i | −0.181623 | + | 0.0965709i | ||||
\(193\) | 1.12901 | + | 0.705481i | 0.0812676 | + | 0.0507816i | 0.569944 | − | 0.821683i | \(-0.306965\pi\) |
−0.488677 | + | 0.872465i | \(0.662520\pi\) | |||||||
\(194\) | 4.87980 | + | 1.39926i | 0.350349 | + | 0.100461i | ||||
\(195\) | −22.7141 | + | 6.51316i | −1.62659 | + | 0.466417i | ||||
\(196\) | −2.82697 | + | 1.76649i | −0.201927 | + | 0.126178i | ||||
\(197\) | 5.62397 | − | 9.74099i | 0.400691 | − | 0.694017i | −0.593119 | − | 0.805115i | \(-0.702103\pi\) |
0.993809 | + | 0.111098i | \(0.0354368\pi\) | |||||||
\(198\) | −15.9944 | + | 5.74442i | −1.13667 | + | 0.408238i | ||||
\(199\) | −1.43228 | + | 8.12286i | −0.101532 | + | 0.575814i | 0.891017 | + | 0.453969i | \(0.149992\pi\) |
−0.992549 | + | 0.121845i | \(0.961119\pi\) | |||||||
\(200\) | −10.8177 | − | 5.75189i | −0.764929 | − | 0.406720i | ||||
\(201\) | 30.8631 | + | 13.7411i | 2.17692 | + | 0.969225i | ||||
\(202\) | −8.63430 | + | 3.84424i | −0.607507 | + | 0.270480i | ||||
\(203\) | 4.55114 | − | 11.2645i | 0.319427 | − | 0.790610i | ||||
\(204\) | −0.0763695 | + | 2.18694i | −0.00534693 | + | 0.153116i | ||||
\(205\) | 15.1935 | + | 4.35665i | 1.06116 | + | 0.304282i | ||||
\(206\) | −0.905258 | + | 3.63079i | −0.0630723 | + | 0.252969i | ||||
\(207\) | 11.3411 | + | 1.59389i | 0.788264 | + | 0.110783i | ||||
\(208\) | 1.99594 | 0.138394 | ||||||||
\(209\) | −12.5302 | − | 7.21063i | −0.866734 | − | 0.498770i | ||||
\(210\) | −22.6689 | −1.56430 | ||||||||
\(211\) | 2.72024 | + | 0.382305i | 0.187269 | + | 0.0263190i | 0.232184 | − | 0.972672i | \(-0.425413\pi\) |
−0.0449150 | + | 0.998991i | \(0.514302\pi\) | |||||||
\(212\) | −2.33909 | + | 9.38158i | −0.160649 | + | 0.644330i | ||||
\(213\) | −9.08673 | − | 2.60558i | −0.622612 | − | 0.178531i | ||||
\(214\) | −0.349310 | + | 10.0029i | −0.0238783 | + | 0.683786i | ||||
\(215\) | −2.90636 | + | 7.19349i | −0.198212 | + | 0.490592i | ||||
\(216\) | 5.53085 | − | 2.46249i | 0.376327 | − | 0.167552i | ||||
\(217\) | 12.2165 | + | 5.43914i | 0.829310 | + | 0.369233i | ||||
\(218\) | 1.33237 | + | 0.708431i | 0.0902392 | + | 0.0479810i | ||||
\(219\) | 7.89225 | − | 44.7592i | 0.533309 | − | 3.02455i | ||||
\(220\) | 8.43484 | + | 10.8915i | 0.568677 | + | 0.734302i | ||||
\(221\) | 0.766181 | − | 1.32706i | 0.0515389 | − | 0.0892680i | ||||
\(222\) | 22.0298 | − | 13.7658i | 1.47854 | − | 0.923897i | ||||
\(223\) | −9.69069 | + | 2.77876i | −0.648937 | + | 0.186080i | −0.583928 | − | 0.811805i | \(-0.698485\pi\) |
−0.0650082 | + | 0.997885i | \(0.520707\pi\) | |||||||
\(224\) | 1.84063 | + | 0.527793i | 0.122982 | + | 0.0352647i | ||||
\(225\) | 53.2401 | + | 33.2681i | 3.54934 | + | 2.21787i | ||||
\(226\) | 3.30099 | − | 1.75517i | 0.219579 | − | 0.116752i | ||||
\(227\) | 3.79986 | + | 2.76076i | 0.252206 | + | 0.183238i | 0.706704 | − | 0.707510i | \(-0.250181\pi\) |
−0.454498 | + | 0.890748i | \(0.650181\pi\) | |||||||
\(228\) | 11.1975 | + | 5.38283i | 0.741570 | + | 0.356487i | ||||
\(229\) | −0.621148 | + | 1.91170i | −0.0410466 | + | 0.126329i | −0.969480 | − | 0.245170i | \(-0.921156\pi\) |
0.928433 | + | 0.371499i | \(0.121156\pi\) | |||||||
\(230\) | −1.61203 | − | 9.14230i | −0.106294 | − | 0.602826i | ||||
\(231\) | 16.5048 | + | 7.43286i | 1.08594 | + | 0.489046i | ||||
\(232\) | 5.96217 | − | 2.17005i | 0.391436 | − | 0.142471i | ||||
\(233\) | −7.88272 | + | 10.0894i | −0.516414 | + | 0.660980i | −0.973565 | − | 0.228409i | \(-0.926648\pi\) |
0.457151 | + | 0.889389i | \(0.348870\pi\) | |||||||
\(234\) | −10.2025 | − | 0.713428i | −0.666958 | − | 0.0466383i | ||||
\(235\) | −35.7411 | + | 15.9130i | −2.33149 | + | 1.03805i | ||||
\(236\) | 3.63660 | − | 4.03886i | 0.236723 | − | 0.262907i | ||||
\(237\) | 33.2440 | − | 4.67214i | 2.15943 | − | 0.303488i | ||||
\(238\) | 1.05748 | − | 1.02120i | 0.0685464 | − | 0.0661945i | ||||
\(239\) | −3.23130 | − | 1.43867i | −0.209015 | − | 0.0930596i | 0.299559 | − | 0.954078i | \(-0.403161\pi\) |
−0.508574 | + | 0.861018i | \(0.669827\pi\) | |||||||
\(240\) | −7.92166 | − | 8.79789i | −0.511341 | − | 0.567902i | ||||
\(241\) | −18.4395 | − | 15.4726i | −1.18779 | − | 0.996675i | −0.999895 | − | 0.0144866i | \(-0.995389\pi\) |
−0.187896 | − | 0.982189i | \(-0.560167\pi\) | |||||||
\(242\) | −2.57008 | − | 10.6955i | −0.165211 | − | 0.687536i | ||||
\(243\) | 12.0212 | − | 4.37535i | 0.771158 | − | 0.280679i | ||||
\(244\) | −0.665306 | − | 1.64669i | −0.0425919 | − | 0.105419i | ||||
\(245\) | −9.95985 | − | 9.61811i | −0.636311 | − | 0.614479i | ||||
\(246\) | 8.77491 | + | 6.37534i | 0.559468 | + | 0.406477i | ||||
\(247\) | −5.15371 | − | 7.00938i | −0.327923 | − | 0.445996i | ||||
\(248\) | 2.15811 | + | 6.64198i | 0.137040 | + | 0.421766i | ||||
\(249\) | −16.6195 | + | 34.0750i | −1.05322 | + | 2.15942i | ||||
\(250\) | 7.28686 | − | 29.2260i | 0.460862 | − | 1.84842i | ||||
\(251\) | 0.703220 | + | 20.1376i | 0.0443868 | + | 1.27107i | 0.793475 | + | 0.608603i | \(0.208270\pi\) |
−0.749088 | + | 0.662470i | \(0.769508\pi\) | |||||||
\(252\) | −9.21996 | − | 3.35579i | −0.580803 | − | 0.211395i | ||||
\(253\) | −1.82396 | + | 7.18491i | −0.114671 | + | 0.451711i | ||||
\(254\) | −6.83459 | + | 11.8379i | −0.428840 | + | 0.742773i | ||||
\(255\) | −8.89043 | + | 1.88972i | −0.556740 | + | 0.118339i | ||||
\(256\) | 0.438371 | + | 0.898794i | 0.0273982 | + | 0.0561746i | ||||
\(257\) | −1.60592 | + | 1.55082i | −0.100174 | + | 0.0967373i | −0.743060 | − | 0.669225i | \(-0.766626\pi\) |
0.642885 | + | 0.765963i | \(0.277737\pi\) | |||||||
\(258\) | −3.56250 | + | 3.95655i | −0.221791 | + | 0.246324i | ||||
\(259\) | −17.0700 | − | 3.62834i | −1.06068 | − | 0.225454i | ||||
\(260\) | 2.00559 | + | 8.04396i | 0.124381 | + | 0.498865i | ||||
\(261\) | −31.2520 | + | 8.96137i | −1.93445 | + | 0.554695i | ||||
\(262\) | −0.441067 | − | 12.6305i | −0.0272492 | − | 0.780314i | ||||
\(263\) | 8.46988 | − | 7.10707i | 0.522275 | − | 0.438241i | −0.343149 | − | 0.939281i | \(-0.611494\pi\) |
0.865424 | + | 0.501040i | \(0.167049\pi\) | |||||||
\(264\) | 2.88289 | + | 9.00300i | 0.177430 | + | 0.554096i | ||||
\(265\) | −40.1596 | −2.46699 | ||||||||
\(266\) | −2.89917 | − | 7.82676i | −0.177760 | − | 0.479890i | ||||
\(267\) | 16.1853 | − | 11.7593i | 0.990523 | − | 0.719657i | ||||
\(268\) | 5.19594 | − | 10.6532i | 0.317392 | − | 0.650751i | ||||
\(269\) | 14.9351 | + | 9.33251i | 0.910612 | + | 0.569013i | 0.902375 | − | 0.430953i | \(-0.141822\pi\) |
0.00823729 | + | 0.999966i | \(0.497378\pi\) | |||||||
\(270\) | 15.4818 | + | 19.8158i | 0.942193 | + | 1.20595i | ||||
\(271\) | 0.701510 | + | 1.04003i | 0.0426137 | + | 0.0631774i | 0.849742 | − | 0.527198i | \(-0.176757\pi\) |
−0.807129 | + | 0.590376i | \(0.798980\pi\) | |||||||
\(272\) | 0.765868 | + | 0.0535547i | 0.0464376 | + | 0.00324723i | ||||
\(273\) | 7.28907 | + | 8.09534i | 0.441155 | + | 0.489952i | ||||
\(274\) | 7.20347 | + | 12.4768i | 0.435177 | + | 0.753749i | ||||
\(275\) | −25.1535 | + | 31.9137i | −1.51681 | + | 1.92447i | ||||
\(276\) | 1.10623 | − | 6.27373i | 0.0665870 | − | 0.377634i | ||||
\(277\) | 5.94651 | − | 1.26397i | 0.357291 | − | 0.0759446i | −0.0257691 | − | 0.999668i | \(-0.508203\pi\) |
0.383060 | + | 0.923723i | \(0.374870\pi\) | |||||||
\(278\) | 0.830551 | + | 7.90217i | 0.0498132 | + | 0.473941i | ||||
\(279\) | −8.65733 | − | 34.7226i | −0.518300 | − | 2.07879i | ||||
\(280\) | −0.277564 | + | 7.94838i | −0.0165876 | + | 0.475007i | ||||
\(281\) | −12.1583 | − | 15.5619i | −0.725302 | − | 0.928345i | 0.274142 | − | 0.961689i | \(-0.411606\pi\) |
−0.999444 | + | 0.0333446i | \(0.989384\pi\) | |||||||
\(282\) | −26.7823 | + | 1.87280i | −1.59486 | + | 0.111524i | ||||
\(283\) | −11.1786 | − | 10.7950i | −0.664499 | − | 0.641699i | 0.283872 | − | 0.958862i | \(-0.408381\pi\) |
−0.948371 | + | 0.317163i | \(0.897270\pi\) | |||||||
\(284\) | −1.02485 | + | 3.15417i | −0.0608137 | + | 0.187165i | ||||
\(285\) | −10.4421 | + | 50.5363i | −0.618536 | + | 2.99351i | ||||
\(286\) | 1.17729 | − | 6.51427i | 0.0696145 | − | 0.385197i | ||||
\(287\) | −1.26530 | − | 7.17587i | −0.0746882 | − | 0.423578i | ||||
\(288\) | −1.91952 | − | 4.75098i | −0.113109 | − | 0.279954i | ||||
\(289\) | −9.17668 | + | 13.6050i | −0.539805 | + | 0.800293i | ||||
\(290\) | 14.7366 | + | 21.8479i | 0.865364 | + | 1.28296i | ||||
\(291\) | −5.42030 | + | 13.4157i | −0.317744 | + | 0.786443i | ||||
\(292\) | −15.5972 | − | 3.31529i | −0.912759 | − | 0.194013i | ||||
\(293\) | −1.06097 | + | 10.0944i | −0.0619823 | + | 0.589722i | 0.918815 | + | 0.394690i | \(0.129148\pi\) |
−0.980797 | + | 0.195032i | \(0.937519\pi\) | |||||||
\(294\) | −4.16515 | − | 8.53982i | −0.242916 | − | 0.498052i | ||||
\(295\) | 19.9314 | + | 10.5977i | 1.16045 | + | 0.617023i | ||||
\(296\) | −4.55694 | − | 7.89284i | −0.264866 | − | 0.458762i | ||||
\(297\) | −4.77466 | − | 19.5038i | −0.277054 | − | 1.13173i | ||||
\(298\) | −13.6749 | − | 11.4746i | −0.792167 | − | 0.664707i | ||||
\(299\) | −2.74648 | + | 3.51534i | −0.158833 | + | 0.203297i | ||||
\(300\) | 19.5277 | − | 28.9510i | 1.12743 | − | 1.67148i | ||||
\(301\) | 3.56798 | − | 0.249497i | 0.205655 | − | 0.0143808i | ||||
\(302\) | 14.4709 | − | 7.69433i | 0.832709 | − | 0.442759i | ||||
\(303\) | −8.32467 | − | 25.6207i | −0.478240 | − | 1.47187i | ||||
\(304\) | 2.02448 | − | 3.86024i | 0.116112 | − | 0.221400i | ||||
\(305\) | 5.96790 | − | 4.33593i | 0.341721 | − | 0.248275i | ||||
\(306\) | −3.89568 | − | 0.547502i | −0.222701 | − | 0.0312986i | ||||
\(307\) | 22.5035 | − | 18.8827i | 1.28434 | − | 1.07769i | 0.291713 | − | 0.956506i | \(-0.405775\pi\) |
0.992630 | − | 0.121185i | \(-0.0386696\pi\) | |||||||
\(308\) | 2.80827 | − | 5.69606i | 0.160016 | − | 0.324563i | ||||
\(309\) | −10.0224 | − | 3.64784i | −0.570153 | − | 0.207519i | ||||
\(310\) | −24.5997 | + | 15.3716i | −1.39717 | + | 0.873047i | ||||
\(311\) | −0.489517 | − | 4.65744i | −0.0277580 | − | 0.264099i | −0.999595 | − | 0.0284468i | \(-0.990944\pi\) |
0.971837 | − | 0.235653i | \(-0.0757228\pi\) | |||||||
\(312\) | −0.594662 | + | 5.65783i | −0.0336661 | + | 0.320312i | ||||
\(313\) | −8.14553 | + | 1.14478i | −0.460412 | + | 0.0647068i | −0.365567 | − | 0.930785i | \(-0.619125\pi\) |
−0.0948459 | + | 0.995492i | \(0.530236\pi\) | |||||||
\(314\) | 9.32621 | − | 1.31071i | 0.526309 | − | 0.0739679i | ||||
\(315\) | 4.25986 | − | 40.5299i | 0.240016 | − | 2.28360i | ||||
\(316\) | −1.23114 | − | 11.7135i | −0.0692570 | − | 0.658936i | ||||
\(317\) | 14.2194 | − | 8.88530i | 0.798644 | − | 0.499048i | −0.0681738 | − | 0.997673i | \(-0.521717\pi\) |
0.866818 | + | 0.498625i | \(0.166162\pi\) | |||||||
\(318\) | −25.8968 | − | 9.42565i | −1.45222 | − | 0.528564i | ||||
\(319\) | −3.56579 | − | 20.7390i | −0.199646 | − | 1.16116i | ||||
\(320\) | −3.18179 | + | 2.66984i | −0.177868 | + | 0.149249i | ||||
\(321\) | −28.2509 | − | 3.97040i | −1.57681 | − | 0.221606i | ||||
\(322\) | −3.46234 | + | 2.51554i | −0.192949 | + | 0.140185i | ||||
\(323\) | −1.78947 | − | 2.82787i | −0.0995686 | − | 0.157347i | ||||
\(324\) | 0.582214 | + | 1.79187i | 0.0323452 | + | 0.0995484i | ||||
\(325\) | −21.5916 | + | 11.4804i | −1.19769 | + | 0.636821i | ||||
\(326\) | −15.4698 | + | 1.08176i | −0.856794 | + | 0.0599129i | ||||
\(327\) | −2.40513 | + | 3.56575i | −0.133004 | + | 0.197186i | ||||
\(328\) | 2.34282 | − | 2.99867i | 0.129361 | − | 0.165574i | ||||
\(329\) | 13.8166 | + | 11.5935i | 0.761731 | + | 0.639168i | ||||
\(330\) | −33.3867 | + | 20.6650i | −1.83788 | + | 1.13757i | ||||
\(331\) | −10.1438 | − | 17.5697i | −0.557556 | − | 0.965716i | −0.997700 | − | 0.0677883i | \(-0.978406\pi\) |
0.440143 | − | 0.897927i | \(-0.354928\pi\) | |||||||
\(332\) | 11.7442 | + | 6.24450i | 0.644547 | + | 0.342712i | ||||
\(333\) | 20.4721 | + | 41.9740i | 1.12186 | + | 2.30016i | ||||
\(334\) | 1.31026 | − | 12.4663i | 0.0716942 | − | 0.682124i | ||||
\(335\) | 48.1553 | + | 10.2357i | 2.63100 | + | 0.559237i | ||||
\(336\) | −2.04451 | + | 5.06033i | −0.111537 | + | 0.276064i | ||||
\(337\) | −4.07762 | − | 6.04531i | −0.222122 | − | 0.329309i | 0.701461 | − | 0.712708i | \(-0.252531\pi\) |
−0.923583 | + | 0.383398i | \(0.874754\pi\) | |||||||
\(338\) | −5.04180 | + | 7.47478i | −0.274238 | + | 0.406574i | ||||
\(339\) | 3.99183 | + | 9.88013i | 0.216806 | + | 0.536615i | ||||
\(340\) | 0.553734 | + | 3.14038i | 0.0300304 | + | 0.170311i | ||||
\(341\) | 22.9507 | − | 3.12583i | 1.24285 | − | 0.169273i | ||||
\(342\) | −11.7282 | + | 19.0085i | −0.634187 | + | 1.02786i | ||||
\(343\) | −6.11442 | + | 18.8183i | −0.330148 | + | 1.01609i | ||||
\(344\) | 1.34366 | + | 1.29756i | 0.0724454 | + | 0.0699597i | ||||
\(345\) | 26.3957 | − | 1.84576i | 1.42109 | − | 0.0993726i | ||||
\(346\) | −12.0155 | − | 15.3791i | −0.645956 | − | 0.826785i | ||||
\(347\) | 0.550664 | − | 15.7690i | 0.0295612 | − | 0.846522i | −0.890555 | − | 0.454876i | \(-0.849684\pi\) |
0.920116 | − | 0.391646i | \(-0.128094\pi\) | |||||||
\(348\) | 4.37503 | + | 17.5473i | 0.234526 | + | 0.940634i | ||||
\(349\) | −0.860461 | − | 8.18674i | −0.0460594 | − | 0.438226i | −0.993114 | − | 0.117153i | \(-0.962623\pi\) |
0.947054 | − | 0.321073i | \(-0.104043\pi\) | |||||||
\(350\) | −22.9473 | + | 4.87759i | −1.22658 | + | 0.260718i | ||||
\(351\) | 2.09836 | − | 11.9004i | 0.112002 | − | 0.635197i | ||||
\(352\) | 3.19201 | − | 0.900591i | 0.170135 | − | 0.0480017i | ||||
\(353\) | 12.2974 | + | 21.2997i | 0.654523 | + | 1.13367i | 0.982013 | + | 0.188812i | \(0.0604637\pi\) |
−0.327490 | + | 0.944854i | \(0.606203\pi\) | |||||||
\(354\) | 10.3653 | + | 11.5119i | 0.550912 | + | 0.611849i | ||||
\(355\) | −13.7416 | − | 0.960905i | −0.729327 | − | 0.0509995i | ||||
\(356\) | −3.92497 | − | 5.81901i | −0.208023 | − | 0.308407i | ||||
\(357\) | 2.57969 | + | 3.30186i | 0.136532 | + | 0.174753i | ||||
\(358\) | 6.21907 | + | 3.88611i | 0.328688 | + | 0.205387i | ||||
\(359\) | −1.50914 | + | 3.09420i | −0.0796494 | + | 0.163306i | −0.934902 | − | 0.354906i | \(-0.884513\pi\) |
0.855253 | + | 0.518211i | \(0.173402\pi\) | |||||||
\(360\) | 17.2184 | − | 12.5099i | 0.907489 | − | 0.659329i | ||||
\(361\) | −18.7838 | + | 2.85791i | −0.988623 | + | 0.150416i | ||||
\(362\) | 9.36071 | 0.491988 | ||||||||
\(363\) | 31.0840 | − | 4.09872i | 1.63149 | − | 0.215127i | ||||
\(364\) | 2.92771 | − | 2.45664i | 0.153454 | − | 0.128763i | ||||
\(365\) | −2.31143 | − | 66.1906i | −0.120986 | − | 3.46457i | ||||
\(366\) | 4.86604 | − | 1.39531i | 0.254352 | − | 0.0729342i | ||||
\(367\) | −7.12946 | − | 28.5947i | −0.372155 | − | 1.49263i | −0.806147 | − | 0.591715i | \(-0.798451\pi\) |
0.433992 | − | 0.900917i | \(-0.357105\pi\) | |||||||
\(368\) | −2.18621 | − | 0.464692i | −0.113964 | − | 0.0242238i | ||||
\(369\) | −13.0474 | + | 14.4907i | −0.679223 | + | 0.754353i | ||||
\(370\) | 27.2304 | − | 26.2961i | 1.41564 | − | 1.36707i | ||||
\(371\) | 8.11595 | + | 16.6402i | 0.421359 | + | 0.863915i | ||||
\(372\) | −19.4708 | + | 4.13864i | −1.00951 | + | 0.214578i | ||||
\(373\) | 14.4547 | − | 25.0363i | 0.748437 | − | 1.29633i | −0.200135 | − | 0.979768i | \(-0.564138\pi\) |
0.948572 | − | 0.316562i | \(-0.102529\pi\) | |||||||
\(374\) | 0.626529 | − | 2.46802i | 0.0323970 | − | 0.127618i | ||||
\(375\) | 80.6750 | + | 29.3633i | 4.16604 | + | 1.51631i | ||||
\(376\) | 0.328730 | + | 9.41359i | 0.0169530 | + | 0.485469i | ||||
\(377\) | 3.06367 | − | 12.2877i | 0.157787 | − | 0.632850i | ||||
\(378\) | 5.08194 | − | 10.4195i | 0.261387 | − | 0.535922i | ||||
\(379\) | −4.69747 | − | 14.4573i | −0.241293 | − | 0.742623i | −0.996224 | − | 0.0868189i | \(-0.972330\pi\) |
0.754931 | − | 0.655804i | \(-0.227670\pi\) | |||||||
\(380\) | 17.5916 | + | 4.28008i | 0.902432 | + | 0.219563i | ||||
\(381\) | −31.5201 | − | 22.9007i | −1.61482 | − | 1.17324i | ||||
\(382\) | 13.8505 | + | 13.3753i | 0.708653 | + | 0.684338i | ||||
\(383\) | −7.99235 | − | 19.7818i | −0.408390 | − | 1.01080i | −0.981524 | − | 0.191339i | \(-0.938717\pi\) |
0.573134 | − | 0.819462i | \(-0.305727\pi\) | |||||||
\(384\) | −2.67839 | + | 0.974853i | −0.136681 | + | 0.0497478i | ||||
\(385\) | 25.7778 | + | 5.59417i | 1.31376 | + | 0.285105i | ||||
\(386\) | 1.01983 | + | 0.855742i | 0.0519082 | + | 0.0435561i | ||||
\(387\) | −6.40449 | − | 7.11290i | −0.325558 | − | 0.361569i | ||||
\(388\) | 4.63757 | + | 2.06478i | 0.235437 | + | 0.104823i | ||||
\(389\) | 16.7094 | − | 16.1361i | 0.847199 | − | 0.818131i | −0.137841 | − | 0.990454i | \(-0.544016\pi\) |
0.985040 | + | 0.172324i | \(0.0551275\pi\) | |||||||
\(390\) | −23.3995 | + | 3.28858i | −1.18488 | + | 0.166524i | ||||
\(391\) | −1.14818 | + | 1.27518i | −0.0580660 | + | 0.0644889i | ||||
\(392\) | −3.04531 | + | 1.35586i | −0.153811 | + | 0.0684812i | ||||
\(393\) | 35.9346 | + | 2.51279i | 1.81266 | + | 0.126754i | ||||
\(394\) | 6.92492 | − | 8.86349i | 0.348872 | − | 0.446536i | ||||
\(395\) | 45.9702 | − | 16.7318i | 2.31301 | − | 0.841867i | ||||
\(396\) | −16.6382 | + | 3.46253i | −0.836103 | + | 0.173998i | ||||
\(397\) | 5.58851 | + | 31.6940i | 0.280480 | + | 1.59068i | 0.720999 | + | 0.692936i | \(0.243683\pi\) |
−0.440520 | + | 0.897743i | \(0.645206\pi\) | |||||||
\(398\) | −2.54883 | + | 7.84448i | −0.127761 | + | 0.393208i | ||||
\(399\) | 23.0500 | − | 5.88632i | 1.15394 | − | 0.294684i | ||||
\(400\) | −9.91194 | − | 7.20145i | −0.495597 | − | 0.360072i | ||||
\(401\) | −17.4456 | + | 9.27599i | −0.871192 | + | 0.463221i | −0.843959 | − | 0.536408i | \(-0.819781\pi\) |
−0.0272330 | + | 0.999629i | \(0.508670\pi\) | |||||||
\(402\) | 28.6504 | + | 17.9027i | 1.42895 | + | 0.892907i | ||||
\(403\) | 13.3993 | + | 3.84218i | 0.667465 | + | 0.191393i | ||||
\(404\) | −9.08529 | + | 2.60516i | −0.452010 | + | 0.129612i | ||||
\(405\) | −6.63649 | + | 4.14694i | −0.329770 | + | 0.206063i | ||||
\(406\) | 6.07455 | − | 10.5214i | 0.301475 | − | 0.522170i | ||||
\(407\) | −28.4482 | + | 10.2172i | −1.41012 | + | 0.506448i | ||||
\(408\) | −0.379989 | + | 2.15502i | −0.0188123 | + | 0.106690i | ||||
\(409\) | 16.9277 | + | 9.00060i | 0.837020 | + | 0.445051i | 0.831893 | − | 0.554936i | \(-0.187257\pi\) |
0.00512630 | + | 0.999987i | \(0.498368\pi\) | |||||||
\(410\) | 14.4393 | + | 6.42877i | 0.713104 | + | 0.317495i | ||||
\(411\) | −37.5137 | + | 16.7022i | −1.85041 | + | 0.823857i | ||||
\(412\) | −1.40176 | + | 3.46947i | −0.0690596 | + | 0.170928i | ||||
\(413\) | 0.363187 | − | 10.4003i | 0.0178712 | − | 0.511766i | ||||
\(414\) | 11.0089 | + | 3.15676i | 0.541060 | + | 0.155146i | ||||
\(415\) | −13.3654 | + | 53.6056i | −0.656081 | + | 2.63140i | ||||
\(416\) | 1.97652 | + | 0.277782i | 0.0969068 | + | 0.0136194i | ||||
\(417\) | −22.6475 | −1.10905 | ||||||||
\(418\) | −11.4048 | − | 8.88433i | −0.557825 | − | 0.434547i | ||||
\(419\) | −13.0316 | −0.636636 | −0.318318 | − | 0.947984i | \(-0.603118\pi\) | ||||
−0.318318 | + | 0.947984i | \(0.603118\pi\) | |||||||
\(420\) | −22.4483 | − | 3.15490i | −1.09537 | − | 0.153944i | ||||
\(421\) | 2.22113 | − | 8.90846i | 0.108251 | − | 0.434172i | −0.891574 | − | 0.452875i | \(-0.850398\pi\) |
0.999825 | + | 0.0187034i | \(0.00595382\pi\) | |||||||
\(422\) | 2.64056 | + | 0.757169i | 0.128541 | + | 0.0368584i | ||||
\(423\) | 1.68444 | − | 48.2362i | 0.0819005 | − | 2.34532i | ||||
\(424\) | −3.62199 | + | 8.96474i | −0.175899 | + | 0.435366i | ||||
\(425\) | −8.59299 | + | 3.82585i | −0.416821 | + | 0.185581i | ||||
\(426\) | −8.63567 | − | 3.84485i | −0.418400 | − | 0.186283i | ||||
\(427\) | −3.00266 | − | 1.59655i | −0.145309 | − | 0.0772622i | ||||
\(428\) | −1.73805 | + | 9.85696i | −0.0840117 | + | 0.476454i | ||||
\(429\) | 18.1150 | + | 5.27805i | 0.874602 | + | 0.254827i | ||||
\(430\) | −3.87921 | + | 6.71899i | −0.187072 | + | 0.324019i | ||||
\(431\) | −3.64799 | + | 2.27952i | −0.175718 | + | 0.109801i | −0.614927 | − | 0.788584i | \(-0.710814\pi\) |
0.439209 | + | 0.898385i | \(0.355259\pi\) | |||||||
\(432\) | 5.81974 | − | 1.66878i | 0.280002 | − | 0.0802894i | ||||
\(433\) | 25.1707 | + | 7.21758i | 1.20963 | + | 0.346855i | 0.819053 | − | 0.573718i | \(-0.194499\pi\) |
0.390573 | + | 0.920572i | \(0.372277\pi\) | |||||||
\(434\) | 11.3406 | + | 7.08641i | 0.544368 | + | 0.340159i | ||||
\(435\) | −66.3222 | + | 35.2641i | −3.17991 | + | 1.69079i | ||||
\(436\) | 1.22080 | + | 0.886967i | 0.0584659 | + | 0.0424780i | ||||
\(437\) | 4.01307 | + | 8.87741i | 0.191971 | + | 0.424664i | ||||
\(438\) | 14.0447 | − | 43.2252i | 0.671083 | − | 2.06538i | ||||
\(439\) | 1.72002 | + | 9.75471i | 0.0820920 | + | 0.465567i | 0.997946 | + | 0.0640560i | \(0.0204036\pi\) |
−0.915854 | + | 0.401511i | \(0.868485\pi\) | |||||||
\(440\) | 6.83695 | + | 11.9594i | 0.325939 | + | 0.570140i | ||||
\(441\) | 16.0511 | − | 5.84211i | 0.764337 | − | 0.278196i | ||||
\(442\) | 0.943416 | − | 1.20752i | 0.0448737 | − | 0.0574358i | ||||
\(443\) | −1.93727 | − | 0.135467i | −0.0920423 | − | 0.00643622i | 0.0236611 | − | 0.999720i | \(-0.492468\pi\) |
−0.115703 | + | 0.993284i | \(0.536912\pi\) | |||||||
\(444\) | 23.7312 | − | 10.5658i | 1.12624 | − | 0.501432i | ||||
\(445\) | 19.5076 | − | 21.6654i | 0.924748 | − | 1.02704i | ||||
\(446\) | −9.98311 | + | 1.40303i | −0.472714 | + | 0.0664356i | ||||
\(447\) | 36.6010 | − | 35.3451i | 1.73117 | − | 1.67177i | ||||
\(448\) | 1.74927 | + | 0.778823i | 0.0826450 | + | 0.0367959i | ||||
\(449\) | 3.77031 | + | 4.18736i | 0.177932 | + | 0.197614i | 0.825513 | − | 0.564383i | \(-0.190886\pi\) |
−0.647581 | + | 0.761997i | \(0.724219\pi\) | |||||||
\(450\) | 48.0920 | + | 40.3539i | 2.26708 | + | 1.90230i | ||||
\(451\) | −8.40505 | − | 9.41513i | −0.395778 | − | 0.443341i | ||||
\(452\) | 3.51314 | − | 1.27868i | 0.165244 | − | 0.0601439i | ||||
\(453\) | 17.4995 | + | 43.3127i | 0.822197 | + | 2.03501i | ||||
\(454\) | 3.37866 | + | 3.26273i | 0.158568 | + | 0.153128i | ||||
\(455\) | 12.8425 | + | 9.33061i | 0.602065 | + | 0.437426i | ||||
\(456\) | 10.3393 | + | 6.88883i | 0.484184 | + | 0.322599i | ||||
\(457\) | 6.10522 | + | 18.7899i | 0.285590 | + | 0.878956i | 0.986221 | + | 0.165432i | \(0.0529020\pi\) |
−0.700631 | + | 0.713524i | \(0.747098\pi\) | |||||||
\(458\) | −0.881160 | + | 1.80665i | −0.0411739 | + | 0.0844190i | ||||
\(459\) | 1.12448 | − | 4.51003i | 0.0524861 | − | 0.210510i | ||||
\(460\) | −0.323984 | − | 9.27768i | −0.0151058 | − | 0.432574i | ||||
\(461\) | 5.33645 | + | 1.94231i | 0.248543 | + | 0.0904624i | 0.463288 | − | 0.886208i | \(-0.346670\pi\) |
−0.214744 | + | 0.976670i | \(0.568892\pi\) | |||||||
\(462\) | 15.3097 | + | 9.65755i | 0.712274 | + | 0.449310i | ||||
\(463\) | 15.3695 | − | 26.6208i | 0.714283 | − | 1.23717i | −0.248952 | − | 0.968516i | \(-0.580086\pi\) |
0.963235 | − | 0.268659i | \(-0.0865805\pi\) | |||||||
\(464\) | 6.20616 | − | 1.31916i | 0.288114 | − | 0.0612405i | ||||
\(465\) | −36.2442 | − | 74.3116i | −1.68078 | − | 3.44612i | ||||
\(466\) | −9.21018 | + | 8.89417i | −0.426654 | + | 0.412015i | ||||
\(467\) | 0.636808 | − | 0.707247i | 0.0294680 | − | 0.0327275i | −0.728231 | − | 0.685332i | \(-0.759657\pi\) |
0.757699 | + | 0.652605i | \(0.226324\pi\) | |||||||
\(468\) | −10.0039 | − | 2.12640i | −0.462431 | − | 0.0982928i | ||||
\(469\) | −5.49064 | − | 22.0217i | −0.253534 | − | 1.01687i | ||||
\(470\) | −37.6079 | + | 10.7839i | −1.73472 | + | 0.497424i | ||||
\(471\) | 0.936827 | + | 26.8272i | 0.0431667 | + | 1.23613i | ||||
\(472\) | 4.16331 | − | 3.49343i | 0.191632 | − | 0.160798i | ||||
\(473\) | 5.02746 | − | 3.62003i | 0.231163 | − | 0.166449i | ||||
\(474\) | 33.5707 | 1.54195 | ||||||||
\(475\) | 0.303415 | + | 53.4036i | 0.0139217 | + | 2.45033i | ||||
\(476\) | 1.18931 | − | 0.864087i | 0.0545121 | − | 0.0396054i | ||||
\(477\) | 21.7186 | − | 44.5297i | 0.994425 | − | 2.03887i | ||||
\(478\) | −2.99963 | − | 1.87438i | −0.137200 | − | 0.0857319i | ||||
\(479\) | −16.4000 | − | 20.9910i | −0.749333 | − | 0.959103i | 0.250626 | − | 0.968084i | \(-0.419363\pi\) |
−0.999960 | + | 0.00898109i | \(0.997141\pi\) | |||||||
\(480\) | −6.62014 | − | 9.81475i | −0.302166 | − | 0.447980i | ||||
\(481\) | −18.1465 | − | 1.26892i | −0.827407 | − | 0.0578580i | ||||
\(482\) | −16.1067 | − | 17.8883i | −0.733639 | − | 0.814788i | ||||
\(483\) | −6.09916 | − | 10.5640i | −0.277521 | − | 0.480681i | ||||
\(484\) | −1.05653 | − | 10.9491i | −0.0480241 | − | 0.497688i | ||||
\(485\) | −3.66141 | + | 20.7649i | −0.166256 | + | 0.942885i | ||||
\(486\) | 12.5131 | − | 2.65974i | 0.567606 | − | 0.120648i | ||||
\(487\) | −3.15564 | − | 30.0239i | −0.142996 | − | 1.36051i | −0.796980 | − | 0.604006i | \(-0.793570\pi\) |
0.653984 | − | 0.756508i | \(-0.273096\pi\) | |||||||
\(488\) | −0.429657 | − | 1.72326i | −0.0194496 | − | 0.0780082i | ||||
\(489\) | 1.54259 | − | 44.1741i | 0.0697585 | − | 1.99762i | ||||
\(490\) | −8.52434 | − | 10.9107i | −0.385090 | − | 0.492893i | ||||
\(491\) | −18.0460 | + | 1.26190i | −0.814405 | + | 0.0569487i | −0.470883 | − | 0.882196i | \(-0.656065\pi\) |
−0.343522 | + | 0.939145i | \(0.611620\pi\) | |||||||
\(492\) | 7.80223 | + | 7.53453i | 0.351752 | + | 0.339683i | ||||
\(493\) | 1.50527 | − | 4.63274i | 0.0677939 | − | 0.208648i | ||||
\(494\) | −4.12804 | − | 7.65842i | −0.185729 | − | 0.344569i | ||||
\(495\) | −30.6731 | − | 63.5754i | −1.37865 | − | 2.85750i | ||||
\(496\) | 1.21272 | + | 6.87769i | 0.0544528 | + | 0.308817i | ||||
\(497\) | 2.37892 | + | 5.88803i | 0.106709 | + | 0.264114i | ||||
\(498\) | −21.2001 | + | 31.4304i | −0.949999 | + | 1.40843i | ||||
\(499\) | 16.6138 | + | 24.6310i | 0.743738 | + | 1.10264i | 0.991023 | + | 0.133694i | \(0.0426839\pi\) |
−0.247285 | + | 0.968943i | \(0.579538\pi\) | |||||||
\(500\) | 11.2834 | − | 27.9275i | 0.504610 | − | 1.24895i | ||||
\(501\) | 34.9474 | + | 7.42829i | 1.56133 | + | 0.331872i | ||||
\(502\) | −2.10623 | + | 20.0395i | −0.0940058 | + | 0.894405i | ||||
\(503\) | 15.5845 | + | 31.9530i | 0.694879 | + | 1.42471i | 0.895508 | + | 0.445046i | \(0.146813\pi\) |
−0.200629 | + | 0.979667i | \(0.564299\pi\) | |||||||
\(504\) | −8.66319 | − | 4.60630i | −0.385889 | − | 0.205181i | ||||
\(505\) | −19.6284 | − | 33.9974i | −0.873452 | − | 1.51286i | ||||
\(506\) | −2.80615 | + | 6.86114i | −0.124749 | + | 0.305015i | ||||
\(507\) | −19.6864 | − | 16.5188i | −0.874302 | − | 0.733627i | ||||
\(508\) | −8.41559 | + | 10.7715i | −0.373381 | + | 0.477906i | ||||
\(509\) | −8.83622 | + | 13.1002i | −0.391658 | + | 0.580657i | −0.972368 | − | 0.233453i | \(-0.924997\pi\) |
0.580710 | + | 0.814111i | \(0.302775\pi\) | |||||||
\(510\) | −9.06691 | + | 0.634020i | −0.401489 | + | 0.0280749i | ||||
\(511\) | −26.9590 | + | 14.3344i | −1.19260 | + | 0.634114i | ||||
\(512\) | 0.309017 | + | 0.951057i | 0.0136568 | + | 0.0420312i | ||||
\(513\) | −20.8876 | − | 16.1289i | −0.922208 | − | 0.712107i | ||||
\(514\) | −1.80612 | + | 1.31222i | −0.0796646 | + | 0.0578797i | ||||
\(515\) | −15.3910 | − | 2.16307i | −0.678209 | − | 0.0953161i | ||||
\(516\) | −4.07847 | + | 3.42224i | −0.179545 | + | 0.150656i | ||||
\(517\) | 30.9176 | + | 4.47962i | 1.35975 | + | 0.197013i | ||||
\(518\) | −16.3989 | − | 5.96871i | −0.720526 | − | 0.262250i | ||||
\(519\) | 47.1744 | − | 29.4779i | 2.07073 | − | 1.29393i | ||||
\(520\) | 0.866564 | + | 8.24480i | 0.0380013 | + | 0.361559i | ||||
\(521\) | 1.22826 | − | 11.6861i | 0.0538112 | − | 0.511979i | −0.934106 | − | 0.356996i | \(-0.883801\pi\) |
0.987917 | − | 0.154983i | \(-0.0495323\pi\) | |||||||
\(522\) | −32.1950 | + | 4.52472i | −1.40914 | + | 0.198041i | ||||
\(523\) | 9.26092 | − | 1.30154i | 0.404952 | − | 0.0569122i | 0.0662429 | − | 0.997804i | \(-0.478899\pi\) |
0.338709 | + | 0.940891i | \(0.390010\pi\) | |||||||
\(524\) | 1.32105 | − | 12.5690i | 0.0577104 | − | 0.549077i | ||||
\(525\) | −6.98954 | − | 66.5011i | −0.305049 | − | 2.90234i | ||||
\(526\) | 9.37656 | − | 5.85913i | 0.408837 | − | 0.255470i | ||||
\(527\) | 5.03837 | + | 1.83382i | 0.219475 | + | 0.0798823i | ||||
\(528\) | 1.60186 | + | 9.31660i | 0.0697121 | + | 0.405453i | ||||
\(529\) | −13.7923 | + | 11.5731i | −0.599665 | + | 0.503179i | ||||
\(530\) | −39.7688 | − | 5.58914i | −1.72745 | − | 0.242777i | ||||
\(531\) | −22.5299 | + | 16.3690i | −0.977716 | + | 0.710353i | ||||
\(532\) | −1.78168 | − | 8.15408i | −0.0772457 | − | 0.353524i | ||||
\(533\) | −2.34708 | − | 7.22357i | −0.101663 | − | 0.312888i | ||||
\(534\) | 17.6643 | − | 9.39230i | 0.764411 | − | 0.406445i | ||||
\(535\) | −41.4715 | + | 2.89997i | −1.79297 | + | 0.125377i | ||||
\(536\) | 6.62802 | − | 9.82644i | 0.286287 | − | 0.424437i | ||||
\(537\) | −12.8687 | + | 16.4712i | −0.555325 | + | 0.710784i | ||||
\(538\) | 13.4910 | + | 11.3203i | 0.581637 | + | 0.488051i | ||||
\(539\) | 2.62894 | + | 10.7389i | 0.113237 | + | 0.462556i | ||||
\(540\) | 12.5733 | + | 21.7776i | 0.541069 | + | 0.937159i | ||||
\(541\) | −21.1619 | − | 11.2520i | −0.909821 | − | 0.483760i | −0.0525453 | − | 0.998619i | \(-0.516733\pi\) |
−0.857275 | + | 0.514858i | \(0.827845\pi\) | |||||||
\(542\) | 0.549938 | + | 1.12754i | 0.0236219 | + | 0.0484320i | ||||
\(543\) | −2.78889 | + | 26.5345i | −0.119683 | + | 1.13870i | ||||
\(544\) | 0.750961 | + | 0.159622i | 0.0321972 | + | 0.00684373i | ||||
\(545\) | −2.34791 | + | 5.81128i | −0.100573 | + | 0.248928i | ||||
\(546\) | 6.09148 | + | 9.03100i | 0.260691 | + | 0.386491i | ||||
\(547\) | −17.9487 | + | 26.6101i | −0.767431 | + | 1.13776i | 0.219340 | + | 0.975648i | \(0.429609\pi\) |
−0.986772 | + | 0.162115i | \(0.948168\pi\) | |||||||
\(548\) | 5.39693 | + | 13.3579i | 0.230546 | + | 0.570620i | ||||
\(549\) | 1.58028 | + | 8.96221i | 0.0674447 | + | 0.382498i | ||||
\(550\) | −29.3502 | + | 28.1024i | −1.25150 | + | 1.19829i | ||||
\(551\) | −20.6575 | − | 18.3887i | −0.880040 | − | 0.783384i | ||||
\(552\) | 1.96860 | − | 6.05871i | 0.0837890 | − | 0.257876i | ||||
\(553\) | −16.2230 | − | 15.6664i | −0.689874 | − | 0.666204i | ||||
\(554\) | 6.06455 | − | 0.424075i | 0.257658 | − | 0.0180172i | ||||
\(555\) | 66.4278 | + | 85.0237i | 2.81970 | + | 3.60906i | ||||
\(556\) | −0.277301 | + | 7.94086i | −0.0117602 | + | 0.336767i | ||||
\(557\) | 4.58974 | + | 18.4084i | 0.194474 | + | 0.779991i | 0.985706 | + | 0.168475i | \(0.0538843\pi\) |
−0.791232 | + | 0.611516i | \(0.790560\pi\) | |||||||
\(558\) | −3.74062 | − | 35.5896i | −0.158353 | − | 1.50663i | ||||
\(559\) | 3.64677 | − | 0.775145i | 0.154242 | − | 0.0327852i | ||||
\(560\) | −1.38106 | + | 7.83240i | −0.0583606 | + | 0.330979i | ||||
\(561\) | 6.80934 | + | 2.51131i | 0.287490 | + | 0.106028i | ||||
\(562\) | −9.87416 | − | 17.1026i | −0.416516 | − | 0.721428i | ||||
\(563\) | 10.6324 | + | 11.8084i | 0.448100 | + | 0.497666i | 0.924298 | − | 0.381673i | \(-0.124652\pi\) |
−0.476197 | + | 0.879338i | \(0.657985\pi\) | |||||||
\(564\) | −26.7823 | − | 1.87280i | −1.12774 | − | 0.0788593i | ||||
\(565\) | 8.68337 | + | 12.8736i | 0.365312 | + | 0.541598i | ||||
\(566\) | −9.56743 | − | 12.2458i | −0.402149 | − | 0.514727i | ||||
\(567\) | 3.05947 | + | 1.91177i | 0.128486 | + | 0.0802868i | ||||
\(568\) | −1.45385 | + | 2.98084i | −0.0610023 | + | 0.125073i | ||||
\(569\) | −32.9393 | + | 23.9318i | −1.38089 | + | 1.00327i | −0.384092 | + | 0.923295i | \(0.625485\pi\) |
−0.996797 | + | 0.0799794i | \(0.974515\pi\) | |||||||
\(570\) | −17.3738 | + | 48.5912i | −0.727707 | + | 2.03526i | ||||
\(571\) | −13.1157 | −0.548875 | −0.274438 | − | 0.961605i | \(-0.588492\pi\) | ||||
−0.274438 | + | 0.961605i | \(0.588492\pi\) | |||||||
\(572\) | 2.07244 | − | 6.28703i | 0.0866531 | − | 0.262874i | ||||
\(573\) | −42.0410 | + | 35.2766i | −1.75629 | + | 1.47370i | ||||
\(574\) | −0.254297 | − | 7.28213i | −0.0106142 | − | 0.303950i | ||||
\(575\) | 26.3226 | − | 7.54789i | 1.09773 | − | 0.314769i | ||||
\(576\) | −1.23963 | − | 4.97189i | −0.0516513 | − | 0.207162i | ||||
\(577\) | −24.7115 | − | 5.25260i | −1.02875 | − | 0.218669i | −0.337535 | − | 0.941313i | \(-0.609593\pi\) |
−0.691220 | + | 0.722645i | \(0.742926\pi\) | |||||||
\(578\) | −10.9808 | + | 12.1954i | −0.456742 | + | 0.507263i | ||||
\(579\) | −2.72959 | + | 2.63593i | −0.113438 | + | 0.109546i | ||||
\(580\) | 11.5526 | + | 23.6863i | 0.479694 | + | 0.983519i | ||||
\(581\) | 24.9126 | − | 5.29533i | 1.03355 | − | 0.219687i | ||||
\(582\) | −7.23466 | + | 12.5308i | −0.299886 | + | 0.519418i | ||||
\(583\) | 27.1223 | + | 17.1091i | 1.12329 | + | 0.708585i | ||||
\(584\) | −14.9840 | − | 5.45375i | −0.620044 | − | 0.225678i | ||||
\(585\) | −1.48253 | − | 42.4540i | −0.0612949 | − | 1.75526i | ||||
\(586\) | −2.45551 | + | 9.84852i | −0.101436 | + | 0.406838i | ||||
\(587\) | −13.2649 | + | 27.1970i | −0.547499 | + | 1.12254i | 0.428252 | + | 0.903659i | \(0.359129\pi\) |
−0.975752 | + | 0.218881i | \(0.929759\pi\) | |||||||
\(588\) | −2.93610 | − | 9.03639i | −0.121083 | − | 0.372654i | ||||
\(589\) | 21.0218 | − | 22.0177i | 0.866187 | − | 0.907222i | ||||
\(590\) | 18.2625 | + | 13.2685i | 0.751856 | + | 0.546255i | ||||
\(591\) | 23.0619 | + | 22.2706i | 0.948638 | + | 0.916089i | ||||
\(592\) | −3.41412 | − | 8.45023i | −0.140319 | − | 0.347302i | ||||
\(593\) | −29.9593 | + | 10.9043i | −1.23028 | + | 0.447786i | −0.873694 | − | 0.486476i | \(-0.838282\pi\) |
−0.356588 | + | 0.934262i | \(0.616060\pi\) | |||||||
\(594\) | −2.01378 | − | 19.9785i | −0.0826266 | − | 0.819729i | ||||
\(595\) | 4.67746 | + | 3.92486i | 0.191757 | + | 0.160903i | ||||
\(596\) | −11.9449 | − | 13.2661i | −0.489281 | − | 0.543402i | ||||
\(597\) | −21.4771 | − | 9.56222i | −0.878999 | − | 0.391355i | ||||
\(598\) | −3.20899 | + | 3.09889i | −0.131226 | + | 0.126723i | ||||
\(599\) | −9.88313 | + | 1.38898i | −0.403814 | + | 0.0567523i | −0.338157 | − | 0.941090i | \(-0.609803\pi\) |
−0.0656574 | + | 0.997842i | \(0.520914\pi\) | |||||||
\(600\) | 23.3668 | − | 25.9515i | 0.953946 | − | 1.05946i | ||||
\(601\) | −26.2886 | + | 11.7044i | −1.07233 | + | 0.477433i | −0.865482 | − | 0.500940i | \(-0.832988\pi\) |
−0.206850 | + | 0.978373i | \(0.566321\pi\) | |||||||
\(602\) | 3.56798 | + | 0.249497i | 0.145420 | + | 0.0101688i | ||||
\(603\) | −37.3922 | + | 47.8599i | −1.52273 | + | 1.94900i | ||||
\(604\) | 15.4010 | − | 5.60549i | 0.626656 | − | 0.228084i | ||||
\(605\) | 43.0651 | − | 15.2600i | 1.75085 | − | 0.620408i | ||||
\(606\) | −4.67794 | − | 26.5299i | −0.190028 | − | 1.07770i | ||||
\(607\) | −5.93244 | + | 18.2582i | −0.240790 | + | 0.741076i | 0.755510 | + | 0.655137i | \(0.227389\pi\) |
−0.996300 | + | 0.0859392i | \(0.972611\pi\) | |||||||
\(608\) | 2.54202 | − | 3.54092i | 0.103093 | − | 0.143603i | ||||
\(609\) | 28.0149 | + | 20.3540i | 1.13522 | + | 0.824787i | ||||
\(610\) | 6.51327 | − | 3.46317i | 0.263714 | − | 0.140219i | ||||
\(611\) | 15.9437 | + | 9.96272i | 0.645013 | + | 0.403049i | ||||
\(612\) | −3.78157 | − | 1.08435i | −0.152861 | − | 0.0438322i | ||||
\(613\) | 12.5996 | − | 3.61287i | 0.508892 | − | 0.145922i | −0.0113597 | − | 0.999935i | \(-0.503616\pi\) |
0.520251 | + | 0.854013i | \(0.325838\pi\) | |||||||
\(614\) | 24.9125 | − | 15.5670i | 1.00539 | − | 0.628234i | ||||
\(615\) | −22.5254 | + | 39.0151i | −0.908312 | + | 1.57324i | ||||
\(616\) | 3.57367 | − | 5.24979i | 0.143987 | − | 0.211520i | ||||
\(617\) | 3.80273 | − | 21.5663i | 0.153092 | − | 0.868228i | −0.807417 | − | 0.589981i | \(-0.799135\pi\) |
0.960509 | − | 0.278247i | \(-0.0897535\pi\) | |||||||
\(618\) | −9.41715 | − | 5.00719i | −0.378813 | − | 0.201419i | ||||
\(619\) | 2.09300 | + | 0.931865i | 0.0841249 | + | 0.0374548i | 0.448368 | − | 0.893849i | \(-0.352006\pi\) |
−0.364243 | + | 0.931304i | \(0.618672\pi\) | |||||||
\(620\) | −26.4996 | + | 11.7984i | −1.06425 | + | 0.473834i | ||||
\(621\) | −5.06902 | + | 12.5463i | −0.203413 | + | 0.503464i | ||||
\(622\) | 0.163438 | − | 4.68025i | 0.00655326 | − | 0.187661i | ||||
\(623\) | −12.9194 | − | 3.70458i | −0.517605 | − | 0.148421i | ||||
\(624\) | −1.37629 | + | 5.52001i | −0.0550958 | + | 0.220977i | ||||
\(625\) | 63.2269 | + | 8.88596i | 2.52908 | + | 0.355439i | ||||
\(626\) | −8.22558 | −0.328760 | ||||||||
\(627\) | 28.5820 | − | 29.6817i | 1.14145 | − | 1.18537i | ||||
\(628\) | 9.41787 | 0.375814 | ||||||||
\(629\) | −6.92897 | − | 0.973804i | −0.276276 | − | 0.0388281i | ||||
\(630\) | 9.85907 | − | 39.5426i | 0.392795 | − | 1.57541i | ||||
\(631\) | 5.99935 | + | 1.72029i | 0.238830 | + | 0.0684835i | 0.392917 | − | 0.919574i | \(-0.371466\pi\) |
−0.154087 | + | 0.988057i | \(0.549244\pi\) | |||||||
\(632\) | 0.411047 | − | 11.7709i | 0.0163506 | − | 0.468219i | ||||
\(633\) | −2.93304 | + | 7.25952i | −0.116578 | + | 0.288540i | ||||
\(634\) | 15.3177 | − | 6.81986i | 0.608342 | − | 0.270851i | ||||
\(635\) | −51.8669 | − | 23.0926i | −2.05828 | − | 0.916403i | ||||
\(636\) | −24.3329 | − | 12.9381i | −0.964864 | − | 0.513027i | ||||
\(637\) | −1.15537 | + | 6.55240i | −0.0457773 | + | 0.259616i | ||||
\(638\) | −0.644773 | − | 21.0335i | −0.0255268 | − | 0.832723i | ||||
\(639\) | 8.49700 | − | 14.7172i | 0.336136 | − | 0.582205i | ||||
\(640\) | −3.52240 | + | 2.20104i | −0.139235 | + | 0.0870036i | ||||
\(641\) | 7.86269 | − | 2.25459i | 0.310557 | − | 0.0890509i | −0.116739 | − | 0.993163i | \(-0.537244\pi\) |
0.427296 | + | 0.904112i | \(0.359466\pi\) | |||||||
\(642\) | −27.4234 | − | 7.86352i | −1.08231 | − | 0.310349i | ||||
\(643\) | 2.13870 | + | 1.33641i | 0.0843420 | + | 0.0527028i | 0.571435 | − | 0.820648i | \(-0.306387\pi\) |
−0.487093 | + | 0.873350i | \(0.661943\pi\) | |||||||
\(644\) | −3.77874 | + | 2.00919i | −0.148903 | + | 0.0791733i | ||||
\(645\) | −17.8903 | − | 12.9981i | −0.704432 | − | 0.511800i | ||||
\(646\) | −1.37849 | − | 3.04939i | −0.0542359 | − | 0.119977i | ||||
\(647\) | −3.46536 | + | 10.6653i | −0.136237 | + | 0.419296i | −0.995780 | − | 0.0917677i | \(-0.970748\pi\) |
0.859543 | + | 0.511063i | \(0.170748\pi\) | |||||||
\(648\) | 0.327168 | + | 1.85546i | 0.0128524 | + | 0.0728894i | ||||
\(649\) | −8.94602 | − | 15.6486i | −0.351162 | − | 0.614261i | ||||
\(650\) | −22.9792 | + | 8.36375i | −0.901319 | + | 0.328053i | ||||
\(651\) | −23.4664 | + | 30.0356i | −0.919720 | + | 1.17719i | ||||
\(652\) | −15.4698 | − | 1.08176i | −0.605845 | − | 0.0423648i | ||||
\(653\) | 5.35326 | − | 2.38343i | 0.209489 | − | 0.0932706i | −0.299310 | − | 0.954156i | \(-0.596756\pi\) |
0.508799 | + | 0.860885i | \(0.330090\pi\) | |||||||
\(654\) | −2.87797 | + | 3.19632i | −0.112538 | + | 0.124986i | ||||
\(655\) | 51.9823 | − | 7.30563i | 2.03112 | − | 0.285455i | ||||
\(656\) | 2.73736 | − | 2.64343i | 0.106876 | − | 0.103209i | ||||
\(657\) | 74.6433 | + | 33.2333i | 2.91211 | + | 1.29656i | ||||
\(658\) | 12.0686 | + | 13.4035i | 0.470483 | + | 0.522524i | ||||
\(659\) | 25.1970 | + | 21.1428i | 0.981536 | + | 0.823607i | 0.984320 | − | 0.176390i | \(-0.0564418\pi\) |
−0.00278434 | + | 0.999996i | \(0.500886\pi\) | |||||||
\(660\) | −35.9378 | + | 15.8174i | −1.39888 | + | 0.615690i | ||||
\(661\) | 9.15401 | − | 3.33179i | 0.356050 | − | 0.129592i | −0.157801 | − | 0.987471i | \(-0.550441\pi\) |
0.513851 | + | 0.857879i | \(0.328218\pi\) | |||||||
\(662\) | −7.59990 | − | 18.8104i | −0.295379 | − | 0.731088i | ||||
\(663\) | 3.14183 | + | 3.03403i | 0.122019 | + | 0.117832i | ||||
\(664\) | 10.7608 | + | 7.81821i | 0.417602 | + | 0.303405i | ||||
\(665\) | 31.0719 | − | 15.3739i | 1.20492 | − | 0.596175i | ||||
\(666\) | 14.4312 | + | 44.4147i | 0.559198 | + | 1.72103i | ||||
\(667\) | −6.21652 | + | 12.7458i | −0.240705 | + | 0.493517i | ||||
\(668\) | 3.03248 | − | 12.1626i | 0.117330 | − | 0.470585i | ||||
\(669\) | −1.00281 | − | 28.7168i | −0.0387710 | − | 1.11026i | ||||
\(670\) | 46.2621 | + | 16.8380i | 1.78726 | + | 0.650510i | ||||
\(671\) | −5.87772 | + | 0.385847i | −0.226907 | + | 0.0148954i | ||||
\(672\) | −2.72887 | + | 4.72655i | −0.105269 | + | 0.182330i | ||||
\(673\) | −2.17832 | + | 0.463016i | −0.0839681 | + | 0.0178480i | −0.249704 | − | 0.968322i | \(-0.580333\pi\) |
0.165736 | + | 0.986170i | \(0.447000\pi\) | |||||||
\(674\) | −3.19659 | − | 6.55398i | −0.123128 | − | 0.252450i | ||||
\(675\) | −53.3577 | + | 51.5270i | −2.05374 | + | 1.98327i | ||||
\(676\) | −6.03302 | + | 6.70035i | −0.232039 | + | 0.257706i | ||||
\(677\) | 5.43909 | + | 1.15611i | 0.209041 | + | 0.0444330i | 0.311242 | − | 0.950331i | \(-0.399255\pi\) |
−0.102201 | + | 0.994764i | \(0.532588\pi\) | |||||||
\(678\) | 2.57793 | + | 10.3395i | 0.0990050 | + | 0.397087i | ||||
\(679\) | 9.34389 | − | 2.67932i | 0.358586 | − | 0.102823i | ||||
\(680\) | 0.111288 | + | 3.18688i | 0.00426772 | + | 0.122211i | ||||
\(681\) | −10.2554 | + | 8.60528i | −0.392987 | + | 0.329755i | ||||
\(682\) | 23.1624 | + | 0.0987092i | 0.886934 | + | 0.00377977i | ||||
\(683\) | 3.53392 | 0.135222 | 0.0676109 | − | 0.997712i | \(-0.478462\pi\) | ||||
0.0676109 | + | 0.997712i | \(0.478462\pi\) | |||||||
\(684\) | −14.2595 | + | 17.1912i | −0.545225 | + | 0.657323i | ||||
\(685\) | −48.4113 | + | 35.1729i | −1.84970 | + | 1.34389i | ||||
\(686\) | −8.67392 | + | 17.7842i | −0.331172 | + | 0.679002i | ||||
\(687\) | −4.85871 | − | 3.03606i | −0.185371 | − | 0.115833i | ||||
\(688\) | 1.15000 | + | 1.47193i | 0.0438433 | + | 0.0561169i | ||||
\(689\) | 10.7915 | + | 15.9991i | 0.411124 | + | 0.609516i | ||||
\(690\) | 26.3957 | + | 1.84576i | 1.00487 | + | 0.0702670i | ||||
\(691\) | 7.32261 | + | 8.13258i | 0.278565 | + | 0.309378i | 0.866149 | − | 0.499785i | \(-0.166588\pi\) |
−0.587584 | + | 0.809163i | \(0.699921\pi\) | |||||||
\(692\) | −9.75818 | − | 16.9017i | −0.370950 | − | 0.642505i | ||||
\(693\) | −20.1437 | + | 25.5575i | −0.765197 | + | 0.970851i | ||||
\(694\) | 2.73992 | − | 15.5389i | 0.104006 | − | 0.589847i | ||||
\(695\) | −32.2815 | + | 6.86165i | −1.22451 | + | 0.260277i | ||||
\(696\) | 1.89034 | + | 17.9854i | 0.0716533 | + | 0.681736i | ||||
\(697\) | −0.706782 | − | 2.83475i | −0.0267713 | − | 0.107374i | ||||
\(698\) | 0.287287 | − | 8.22682i | 0.0108740 | − | 0.311390i | ||||
\(699\) | −22.4680 | − | 28.7577i | −0.849817 | − | 1.08772i | ||||
\(700\) | −23.4028 | + | 1.63648i | −0.884542 | + | 0.0618532i | ||||
\(701\) | −15.3602 | − | 14.8331i | −0.580145 | − | 0.560240i | 0.345603 | − | 0.938381i | \(-0.387674\pi\) |
−0.925748 | + | 0.378141i | \(0.876563\pi\) | |||||||
\(702\) | 3.73416 | − | 11.4926i | 0.140937 | − | 0.433759i | ||||
\(703\) | −20.8601 | + | 33.8090i | −0.786752 | + | 1.27513i | ||||
\(704\) | 3.28628 | − | 0.447584i | 0.123857 | − | 0.0168690i | ||||
\(705\) | −19.3640 | − | 109.819i | −0.729291 | − | 4.13602i | ||||
\(706\) | 9.21335 | + | 22.8038i | 0.346749 | + | 0.858234i | ||||
\(707\) | −10.1201 | + | 15.0036i | −0.380605 | + | 0.564270i | ||||
\(708\) | 8.66232 | + | 12.8424i | 0.325550 | + | 0.482648i | ||||
\(709\) | −13.8968 | + | 34.3957i | −0.521905 | + | 1.29176i | 0.404262 | + | 0.914643i | \(0.367529\pi\) |
−0.926166 | + | 0.377116i | \(0.876916\pi\) | |||||||
\(710\) | −13.4741 | − | 2.86401i | −0.505675 | − | 0.107484i | ||||
\(711\) | −6.30848 | + | 60.0212i | −0.236586 | + | 2.25097i | ||||
\(712\) | −3.07693 | − | 6.30863i | −0.115313 | − | 0.236426i | ||||
\(713\) | −13.7820 | − | 7.32802i | −0.516140 | − | 0.274437i | ||||
\(714\) | 2.09506 | + | 3.62875i | 0.0784056 | + | 0.135803i | ||||
\(715\) | 27.4201 | + | 2.03486i | 1.02546 | + | 0.0760996i | ||||
\(716\) | 5.61770 | + | 4.71381i | 0.209943 | + | 0.176163i | ||||
\(717\) | 6.20692 | − | 7.94450i | 0.231802 | − | 0.296693i | ||||
\(718\) | −1.92508 | + | 2.85405i | −0.0718435 | + | 0.106512i | ||||
\(719\) | 32.7046 | − | 2.28693i | 1.21967 | − | 0.0852879i | 0.554633 | − | 0.832095i | \(-0.312858\pi\) |
0.665041 | + | 0.746807i | \(0.268414\pi\) | |||||||
\(720\) | 18.7919 | − | 9.99181i | 0.700332 | − | 0.372373i | ||||
\(721\) | 2.21414 | + | 6.81442i | 0.0824589 | + | 0.253782i | ||||
\(722\) | −18.9988 | + | 0.215892i | −0.707061 | + | 0.00803466i | ||||
\(723\) | 55.5060 | − | 40.3275i | 2.06429 | − | 1.49979i | ||||
\(724\) | 9.26961 | + | 1.30276i | 0.344502 | + | 0.0484167i | ||||
\(725\) | −59.5489 | + | 49.9675i | −2.21159 | + | 1.85575i | ||||
\(726\) | 31.3519 | + | 0.267225i | 1.16358 | + | 0.00991764i | ||||
\(727\) | 1.04145 | + | 0.379056i | 0.0386251 | + | 0.0140584i | 0.361260 | − | 0.932465i | \(-0.382347\pi\) |
−0.322635 | + | 0.946523i | \(0.604569\pi\) | |||||||
\(728\) | 3.24111 | − | 2.02527i | 0.120124 | − | 0.0750616i | ||||
\(729\) | 4.40221 | + | 41.8842i | 0.163045 | + | 1.55127i | ||||
\(730\) | 6.92302 | − | 65.8681i | 0.256232 | − | 2.43789i | ||||
\(731\) | 1.42011 | − | 0.199583i | 0.0525247 | − | 0.00738186i | ||||
\(732\) | 5.01287 | − | 0.704513i | 0.185281 | − | 0.0260396i | ||||
\(733\) | −3.30836 | + | 31.4769i | −0.122197 | + | 1.16263i | 0.745839 | + | 0.666126i | \(0.232049\pi\) |
−0.868036 | + | 0.496501i | \(0.834618\pi\) | |||||||
\(734\) | −3.08046 | − | 29.3087i | −0.113702 | − | 1.08180i | ||||
\(735\) | 33.4678 | − | 20.9130i | 1.23448 | − | 0.771387i | ||||
\(736\) | −2.10026 | − | 0.764431i | −0.0774165 | − | 0.0281773i | ||||
\(737\) | −28.1616 | − | 27.4282i | −1.03735 | − | 1.01033i | ||||
\(738\) | −14.9372 | + | 12.5338i | −0.549845 | + | 0.461375i | ||||
\(739\) | 40.5964 | + | 5.70545i | 1.49336 | + | 0.209878i | 0.838097 | − | 0.545521i | \(-0.183668\pi\) |
0.655265 | + | 0.755399i | \(0.272557\pi\) | |||||||
\(740\) | 30.6251 | − | 22.2505i | 1.12580 | − | 0.817944i | ||||
\(741\) | 22.9389 | − | 9.41989i | 0.842683 | − | 0.346048i | ||||
\(742\) | 5.72111 | + | 17.6078i | 0.210028 | + | 0.646401i | ||||
\(743\) | −22.9651 | + | 12.2108i | −0.842508 | + | 0.447969i | −0.833849 | − | 0.551993i | \(-0.813867\pi\) |
−0.00865927 | + | 0.999963i | \(0.502756\pi\) | |||||||
\(744\) | −19.8573 | + | 1.38856i | −0.728003 | + | 0.0509069i | ||||
\(745\) | 41.4620 | − | 61.4699i | 1.51905 | − | 2.25208i | ||||
\(746\) | 17.7984 | − | 22.7809i | 0.651647 | − | 0.834070i | ||||
\(747\) | −52.2107 | − | 43.8100i | −1.91029 | − | 1.60292i | ||||
\(748\) | 0.963913 | − | 2.35680i | 0.0352442 | − | 0.0861732i | ||||
\(749\) | 9.58268 | + | 16.5977i | 0.350144 | + | 0.606467i | ||||
\(750\) | 75.8033 | + | 40.3053i | 2.76794 | + | 1.47174i | ||||
\(751\) | 15.1530 | + | 31.0683i | 0.552941 | + | 1.13370i | 0.973976 | + | 0.226652i | \(0.0727781\pi\) |
−0.421035 | + | 0.907044i | \(0.638333\pi\) | |||||||
\(752\) | −0.984588 | + | 9.36773i | −0.0359042 | + | 0.341606i | ||||
\(753\) | −56.1777 | − | 11.9409i | −2.04723 | − | 0.435152i | ||||
\(754\) | 4.74398 | − | 11.7418i | 0.172765 | − | 0.427609i | ||||
\(755\) | 38.0663 | + | 56.4357i | 1.38538 | + | 2.05390i | ||||
\(756\) | 6.48260 | − | 9.61085i | 0.235770 | − | 0.349543i | ||||
\(757\) | 0.193128 | + | 0.478008i | 0.00701935 | + | 0.0173735i | 0.930653 | − | 0.365903i | \(-0.119240\pi\) |
−0.923633 | + | 0.383277i | \(0.874796\pi\) | |||||||
\(758\) | −2.63968 | − | 14.9704i | −0.0958776 | − | 0.543749i | ||||
\(759\) | −18.6130 | − | 9.99868i | −0.675609 | − | 0.362929i | ||||
\(760\) | 16.8248 | + | 6.68671i | 0.610298 | + | 0.242552i | ||||
\(761\) | −11.2841 | + | 34.7289i | −0.409049 | + | 1.25892i | 0.508418 | + | 0.861110i | \(0.330231\pi\) |
−0.917467 | + | 0.397813i | \(0.869769\pi\) | |||||||
\(762\) | −28.0262 | − | 27.0646i | −1.01528 | − | 0.980446i | ||||
\(763\) | 2.88240 | − | 0.201557i | 0.104350 | − | 0.00729687i | ||||
\(764\) | 11.8542 | + | 15.1727i | 0.428871 | + | 0.548929i | ||||
\(765\) | 0.570253 | − | 16.3299i | 0.0206175 | − | 0.590409i | ||||
\(766\) | −5.16148 | − | 20.7016i | −0.186492 | − | 0.747978i | ||||
\(767\) | −1.13388 | − | 10.7882i | −0.0409421 | − | 0.389538i | ||||
\(768\) | −2.78799 | + | 0.592607i | −0.100603 | + | 0.0213838i | ||||
\(769\) | −3.41170 | + | 19.3487i | −0.123029 | + | 0.697733i | 0.859430 | + | 0.511254i | \(0.170819\pi\) |
−0.982459 | + | 0.186479i | \(0.940292\pi\) | |||||||
\(770\) | 24.7484 | + | 9.12731i | 0.891871 | + | 0.328925i | ||||
\(771\) | −3.18161 | − | 5.51071i | −0.114583 | − | 0.198463i | ||||
\(772\) | 0.890813 | + | 0.989348i | 0.0320610 | + | 0.0356074i | ||||
\(773\) | −10.5138 | − | 0.735199i | −0.378156 | − | 0.0264433i | −0.120586 | − | 0.992703i | \(-0.538477\pi\) |
−0.257570 | + | 0.966260i | \(0.582922\pi\) | |||||||
\(774\) | −5.35223 | − | 7.93501i | −0.192382 | − | 0.285218i | ||||
\(775\) | −52.6786 | − | 67.4255i | −1.89227 | − | 2.42200i | ||||
\(776\) | 4.30508 | + | 2.69011i | 0.154543 | + | 0.0965694i | ||||
\(777\) | 21.8051 | − | 44.7071i | 0.782254 | − | 1.60386i | ||||
\(778\) | 18.7925 | − | 13.6535i | 0.673743 | − | 0.489503i | ||||
\(779\) | −16.3513 | − | 2.78749i | −0.585848 | − | 0.0998722i | ||||
\(780\) | −23.6294 | −0.846070 | ||||||||
\(781\) | 8.87118 | + | 6.50323i | 0.317436 | + | 0.232704i | ||||
\(782\) | −1.31448 | + | 1.10298i | −0.0470057 | + | 0.0394424i | ||||
\(783\) | −1.34060 | − | 38.3898i | −0.0479092 | − | 1.37194i | ||||
\(784\) | −3.20437 | + | 0.918838i | −0.114442 | + | 0.0328156i | ||||
\(785\) | 9.46336 | + | 37.9555i | 0.337762 | + | 1.35469i | ||||
\(786\) | 35.2352 | + | 7.48948i | 1.25680 | + | 0.267141i | ||||
\(787\) | 32.1038 | − | 35.6549i | 1.14438 | − | 1.27096i | 0.186922 | − | 0.982375i | \(-0.440149\pi\) |
0.957454 | − | 0.288584i | \(-0.0931845\pi\) | |||||||
\(788\) | 8.09108 | − | 7.81347i | 0.288233 | − | 0.278343i | ||||
\(789\) | 13.8151 | + | 28.3251i | 0.491829 | + | 1.00840i | ||||
\(790\) | 47.8514 | − | 10.1711i | 1.70248 | − | 0.361873i | ||||
\(791\) | 3.57935 | − | 6.19962i | 0.127267 | − | 0.220433i | ||||
\(792\) | −16.9582 | + | 1.11323i | −0.602584 | + | 0.0395570i | ||||
\(793\) | −3.33104 | − | 1.21240i | −0.118289 | − | 0.0430536i | ||||
\(794\) | 1.12317 | + | 32.1634i | 0.0398598 | + | 1.14144i | ||||
\(795\) | 27.6919 | − | 111.066i | 0.982130 | − | 3.93911i | ||||
\(796\) | −3.61576 | + | 7.41341i | −0.128157 | + | 0.262761i | ||||
\(797\) | 9.14340 | + | 28.1405i | 0.323876 | + | 0.996787i | 0.971945 | + | 0.235206i | \(0.0755765\pi\) |
−0.648070 | + | 0.761581i | \(0.724423\pi\) | |||||||
\(798\) | 23.6449 | − | 2.62109i | 0.837021 | − | 0.0927855i | ||||
\(799\) | 5.85047 | + | 4.25062i | 0.206975 | + | 0.150376i | ||||
\(800\) | −8.81323 | − | 8.51084i | −0.311595 | − | 0.300904i | ||||
\(801\) | 13.4731 | + | 33.3471i | 0.476049 | + | 1.17826i | ||||
\(802\) | −18.5668 | + | 6.75776i | −0.655616 | + | 0.238625i | ||||
\(803\) | −26.6379 | + | 45.6874i | −0.940030 | + | 1.61227i | ||||
\(804\) | 25.8800 | + | 21.7159i | 0.912716 | + | 0.765859i | ||||
\(805\) | −11.8943 | − | 13.2100i | −0.419221 | − | 0.465592i | ||||
\(806\) | 12.7341 | + | 5.66960i | 0.448541 | + | 0.199703i | ||||
\(807\) | −36.1086 | + | 34.8697i | −1.27108 | + | 1.22747i | ||||
\(808\) | −9.35944 | + | 1.31538i | −0.329264 | + | 0.0462750i | ||||
\(809\) | 7.78105 | − | 8.64173i | 0.273567 | − | 0.303827i | −0.590668 | − | 0.806914i | \(-0.701136\pi\) |
0.864236 | + | 0.503087i | \(0.167803\pi\) | |||||||
\(810\) | −7.14905 | + | 3.18296i | −0.251192 | + | 0.111838i | ||||
\(811\) | −48.7253 | − | 3.40721i | −1.71098 | − | 0.119643i | −0.819610 | − | 0.572922i | \(-0.805810\pi\) |
−0.891369 | + | 0.453279i | \(0.850254\pi\) | |||||||
\(812\) | 7.47974 | − | 9.57363i | 0.262487 | − | 0.335968i | ||||
\(813\) | −3.36005 | + | 1.22296i | −0.117842 | + | 0.0428910i | ||||
\(814\) | −29.5933 | + | 6.15855i | −1.03724 | + | 0.215857i | ||||
\(815\) | −11.1849 | − | 63.4328i | −0.391790 | − | 2.22195i | ||||
\(816\) | −0.676212 | + | 2.08117i | −0.0236722 | + | 0.0728554i | ||||
\(817\) | 2.19975 | − | 7.83925i | 0.0769593 | − | 0.274261i | ||||
\(818\) | 15.5103 | + | 11.2689i | 0.542305 | + | 0.394007i | ||||
\(819\) | −17.2912 | + | 9.19392i | −0.604205 | + | 0.321261i | ||||
\(820\) | 13.4040 | + | 8.37577i | 0.468089 | + | 0.292494i | ||||
\(821\) | −9.14753 | − | 2.62301i | −0.319251 | − | 0.0915437i | 0.112185 | − | 0.993687i | \(-0.464215\pi\) |
−0.431436 | + | 0.902144i | \(0.641993\pi\) | |||||||
\(822\) | −39.4731 | + | 11.3187i | −1.37678 | + | 0.394786i | ||||
\(823\) | −42.0282 | + | 26.2621i | −1.46501 | + | 0.915440i | −0.465471 | + | 0.885063i | \(0.654115\pi\) |
−0.999539 | + | 0.0303766i | \(0.990329\pi\) | |||||||
\(824\) | −1.87097 | + | 3.24062i | −0.0651784 | + | 0.112892i | ||||
\(825\) | −70.9166 | − | 91.5708i | −2.46900 | − | 3.18808i | ||||
\(826\) | 1.80709 | − | 10.2485i | 0.0628769 | − | 0.356592i | ||||
\(827\) | −11.1943 | − | 5.95209i | −0.389263 | − | 0.206975i | 0.263292 | − | 0.964716i | \(-0.415192\pi\) |
−0.652555 | + | 0.757742i | \(0.726303\pi\) | |||||||
\(828\) | 10.4625 | + | 4.65819i | 0.363596 | + | 0.161883i | ||||
\(829\) | −16.9493 | + | 7.54631i | −0.588673 | + | 0.262094i | −0.679384 | − | 0.733783i | \(-0.737753\pi\) |
0.0907107 | + | 0.995877i | \(0.471086\pi\) | |||||||
\(830\) | −20.6958 | + | 51.2238i | −0.718361 | + | 1.77800i | ||||
\(831\) | −0.604734 | + | 17.3173i | −0.0209780 | + | 0.600731i | ||||
\(832\) | 1.91862 | + | 0.550157i | 0.0665163 | + | 0.0190733i | ||||
\(833\) | −0.619141 | + | 2.48324i | −0.0214519 | + | 0.0860391i | ||||
\(834\) | −22.4271 | − | 3.15192i | −0.776585 | − | 0.109142i | ||||
\(835\) | 52.0643 | 1.80176 | ||||||||
\(836\) | −10.0573 | − | 10.3851i | −0.347840 | − | 0.359176i | ||||
\(837\) | 42.2818 | 1.46147 | ||||||||
\(838\) | −12.9048 | − | 1.81365i | −0.445788 | − | 0.0626515i | ||||
\(839\) | −4.18169 | + | 16.7718i | −0.144368 | + | 0.579028i | 0.853913 | + | 0.520416i | \(0.174223\pi\) |
−0.998281 | + | 0.0586123i | \(0.981332\pi\) | |||||||
\(840\) | −21.7908 | − | 6.24840i | −0.751853 | − | 0.215590i | ||||
\(841\) | 0.392851 | − | 11.2498i | 0.0135466 | − | 0.387923i | ||||
\(842\) | 3.43933 | − | 8.51265i | 0.118527 | − | 0.293365i | ||||
\(843\) | 51.4219 | − | 22.8945i | 1.77106 | − | 0.788528i | ||||
\(844\) | 2.50949 | + | 1.11730i | 0.0863801 | + | 0.0384589i | ||||
\(845\) | −33.0656 | − | 17.5813i | −1.13749 | − | 0.604815i | ||||
\(846\) | 8.38123 | − | 47.5323i | 0.288153 | − | 1.63419i | ||||
\(847\) | −15.0261 | − | 14.7601i | −0.516304 | − | 0.507164i | ||||
\(848\) | −4.83439 | + | 8.37342i | −0.166014 | + | 0.287544i | ||||
\(849\) | 37.5631 | − | 23.4720i | 1.28916 | − | 0.805558i | ||||
\(850\) | −9.04182 | + | 2.59270i | −0.310132 | + | 0.0889289i | ||||
\(851\) | 19.5808 | + | 5.61471i | 0.671222 | + | 0.192470i | ||||
\(852\) | −8.01653 | − | 5.00928i | −0.274642 | − | 0.171615i | ||||
\(853\) | 40.3862 | − | 21.4737i | 1.38280 | − | 0.735246i | 0.399411 | − | 0.916772i | \(-0.369215\pi\) |
0.983386 | + | 0.181526i | \(0.0581037\pi\) | |||||||
\(854\) | −2.75125 | − | 1.99890i | −0.0941457 | − | 0.0684009i | ||||
\(855\) | −83.6117 | − | 40.1937i | −2.85946 | − | 1.37460i | ||||
\(856\) | −3.09296 | + | 9.51914i | −0.105715 | + | 0.325358i | ||||
\(857\) | 3.37149 | + | 19.1207i | 0.115168 | + | 0.653150i | 0.986667 | + | 0.162753i | \(0.0520373\pi\) |
−0.871499 | + | 0.490397i | \(0.836852\pi\) | |||||||
\(858\) | 17.2042 | + | 7.74781i | 0.587341 | + | 0.264506i | ||||
\(859\) | −13.3495 | + | 4.85882i | −0.455479 | + | 0.165781i | −0.559563 | − | 0.828788i | \(-0.689031\pi\) |
0.104084 | + | 0.994569i | \(0.466809\pi\) | |||||||
\(860\) | −4.77656 | + | 6.11372i | −0.162879 | + | 0.208476i | ||||
\(861\) | 20.7182 | + | 1.44875i | 0.706073 | + | 0.0493734i | ||||
\(862\) | −3.92974 | + | 1.74963i | −0.133847 | + | 0.0595927i | ||||
\(863\) | −3.16921 | + | 3.51976i | −0.107881 | + | 0.119814i | −0.794667 | − | 0.607046i | \(-0.792354\pi\) |
0.686786 | + | 0.726860i | \(0.259021\pi\) | |||||||
\(864\) | 5.99535 | − | 0.842592i | 0.203966 | − | 0.0286656i | ||||
\(865\) | 58.3110 | − | 56.3103i | 1.98263 | − | 1.91461i | ||||
\(866\) | 23.9212 | + | 10.6504i | 0.812876 | + | 0.361916i | ||||
\(867\) | −31.2984 | − | 34.7604i | −1.06295 | − | 1.18053i | ||||
\(868\) | 10.2440 | + | 8.59576i | 0.347705 | + | 0.291759i | ||||
\(869\) | −38.1747 | − | 8.28448i | −1.29499 | − | 0.281032i | ||||
\(870\) | −70.5846 | + | 25.6907i | −2.39304 | + | 0.870996i | ||||
\(871\) | −8.86228 | − | 21.9349i | −0.300287 | − | 0.743236i | ||||
\(872\) | 1.08548 | + | 1.04824i | 0.0367591 | + | 0.0354978i | ||||
\(873\) | −21.0444 | − | 15.2896i | −0.712243 | − | 0.517475i | ||||
\(874\) | 2.73852 | + | 9.34953i | 0.0926317 | + | 0.316253i | ||||
\(875\) | −17.8227 | − | 54.8526i | −0.602517 | − | 1.85436i | ||||
\(876\) | 19.9238 | − | 40.8499i | 0.673164 | − | 1.38019i | ||||
\(877\) | 2.42161 | − | 9.71254i | 0.0817719 | − | 0.327969i | −0.915452 | − | 0.402426i | \(-0.868167\pi\) |
0.997224 | + | 0.0744573i | \(0.0237225\pi\) | |||||||
\(878\) | 0.345686 | + | 9.89915i | 0.0116663 | + | 0.334080i | ||||
\(879\) | −27.1857 | − | 9.89478i | −0.916950 | − | 0.333743i | ||||
\(880\) | 5.10599 | + | 12.7945i | 0.172123 | + | 0.431302i | ||||
\(881\) | −2.15096 | + | 3.72557i | −0.0724676 | + | 0.125518i | −0.899982 | − | 0.435927i | \(-0.856421\pi\) |
0.827515 | + | 0.561444i | \(0.189754\pi\) | |||||||
\(882\) | 16.7079 | − | 3.55138i | 0.562585 | − | 0.119581i | ||||
\(883\) | −17.2459 | − | 35.3593i | −0.580371 | − | 1.18994i | −0.963865 | − | 0.266393i | \(-0.914168\pi\) |
0.383494 | − | 0.923543i | \(-0.374721\pi\) | |||||||
\(884\) | 1.10229 | − | 1.06447i | 0.0370740 | − | 0.0358019i | ||||
\(885\) | −43.0528 | + | 47.8150i | −1.44720 | + | 1.60728i | ||||
\(886\) | −1.89956 | − | 0.403764i | −0.0638170 | − | 0.0135647i | ||||
\(887\) | 10.3612 | + | 41.5565i | 0.347895 | + | 1.39533i | 0.848289 | + | 0.529534i | \(0.177633\pi\) |
−0.500393 | + | 0.865798i | \(0.666811\pi\) | |||||||
\(888\) | 24.9708 | − | 7.16026i | 0.837964 | − | 0.240282i | ||||
\(889\) | 0.913455 | + | 26.1579i | 0.0306363 | + | 0.877309i | ||||
\(890\) | 22.3330 | − | 18.7396i | 0.748603 | − | 0.628153i | ||||
\(891\) | 6.24874 | + | 0.0266297i | 0.209341 | + | 0.000892130i | ||||
\(892\) | −10.0812 | −0.337544 | ||||||||
\(893\) | 35.4400 | − | 20.7306i | 1.18595 | − | 0.693725i | ||||
\(894\) | 41.1639 | − | 29.9073i | 1.37673 | − | 1.00025i | ||||
\(895\) | −13.3526 | + | 27.3768i | −0.446327 | + | 0.915106i | ||||
\(896\) | 1.62385 | + | 1.01469i | 0.0542490 | + | 0.0338986i | ||||
\(897\) | −7.82824 | − | 10.0197i | −0.261377 | − | 0.334548i | ||||
\(898\) | 3.15085 | + | 4.67133i | 0.105145 | + | 0.155884i | ||||
\(899\) | 44.2029 | + | 3.09097i | 1.47425 | + | 0.103090i | ||||
\(900\) | 42.0078 | + | 46.6543i | 1.40026 | + | 1.55514i | ||||
\(901\) | 3.71155 | + | 6.42859i | 0.123650 | + | 0.214167i | ||||
\(902\) | −7.01292 | − | 10.4933i | −0.233505 | − | 0.349387i | ||||
\(903\) | −1.77027 | + | 10.0397i | −0.0589109 | + | 0.334100i | ||||
\(904\) | 3.65690 | − | 0.777299i | 0.121627 | − | 0.0258526i | ||||
\(905\) | 4.06407 | + | 38.6670i | 0.135094 | + | 1.28534i | ||||
\(906\) | 11.3012 | + | 45.3266i | 0.375457 | + | 1.50588i | ||||
\(907\) | 1.53407 | − | 43.9301i | 0.0509381 | − | 1.45868i | −0.657794 | − | 0.753198i | \(-0.728510\pi\) |
0.708732 | − | 0.705478i | \(-0.249268\pi\) | |||||||
\(908\) | 2.89169 | + | 3.70120i | 0.0959641 | + | 0.122828i | ||||
\(909\) | 48.3120 | − | 3.37831i | 1.60241 | − | 0.112051i | ||||
\(910\) | 11.4189 | + | 11.0271i | 0.378534 | + | 0.365546i | ||||
\(911\) | 12.1544 | − | 37.4074i | 0.402693 | − | 1.23936i | −0.520113 | − | 0.854097i | \(-0.674110\pi\) |
0.922806 | − | 0.385264i | \(-0.125890\pi\) | |||||||
\(912\) | 9.27998 | + | 8.26074i | 0.307291 | + | 0.273541i | ||||
\(913\) | 31.8639 | − | 30.5092i | 1.05454 | − | 1.00971i | ||||
\(914\) | 3.43075 | + | 19.4568i | 0.113479 | + | 0.643572i | ||||
\(915\) | 7.87638 | + | 19.4947i | 0.260385 | + | 0.644476i | ||||
\(916\) | −1.12402 | + | 1.66643i | −0.0371387 | + | 0.0550604i | ||||
\(917\) | −13.5323 | − | 20.0625i | −0.446877 | − | 0.662522i | ||||
\(918\) | 1.74121 | − | 4.30964i | 0.0574684 | − | 0.142239i | ||||
\(919\) | −38.7848 | − | 8.24397i | −1.27939 | − | 0.271944i | −0.482411 | − | 0.875945i | \(-0.660239\pi\) |
−0.796983 | + | 0.604001i | \(0.793572\pi\) | |||||||
\(920\) | 0.970373 | − | 9.23248i | 0.0319923 | − | 0.304386i | ||||
\(921\) | 36.7050 | + | 75.2565i | 1.20947 | + | 2.47979i | ||||
\(922\) | 5.01420 | + | 2.66610i | 0.165134 | + | 0.0878033i | ||||
\(923\) | 3.30976 | + | 5.73267i | 0.108942 | + | 0.188693i | ||||
\(924\) | 13.8167 | + | 11.6943i | 0.454535 | + | 0.384713i | ||||
\(925\) | 85.5378 | + | 71.7747i | 2.81246 | + | 2.35994i | ||||
\(926\) | 18.9249 | − | 24.2227i | 0.621910 | − | 0.796008i | ||||
\(927\) | 10.7220 | − | 15.8960i | 0.352157 | − | 0.522094i | ||||
\(928\) | 6.32936 | − | 0.442592i | 0.207771 | − | 0.0145288i | ||||
\(929\) | 40.3165 | − | 21.4367i | 1.32274 | − | 0.703315i | 0.350340 | − | 0.936623i | \(-0.386066\pi\) |
0.972403 | + | 0.233308i | \(0.0749549\pi\) | |||||||
\(930\) | −25.5493 | − | 78.6326i | −0.837794 | − | 2.57846i | ||||
\(931\) | 11.5008 | + | 8.88061i | 0.376922 | + | 0.291050i | ||||
\(932\) | −10.3584 | + | 7.52580i | −0.339300 | + | 0.246516i | ||||
\(933\) | 13.2182 | + | 1.85770i | 0.432746 | + | 0.0608185i | ||||
\(934\) | 0.729041 | − | 0.611738i | 0.0238549 | − | 0.0200167i | ||||
\(935\) | 10.4668 | + | 1.51653i | 0.342302 | + | 0.0495959i | ||||
\(936\) | −9.61062 | − | 3.49798i | −0.314133 | − | 0.114335i | ||||
\(937\) | 30.2265 | − | 18.8876i | 0.987455 | − | 0.617030i | 0.0628763 | − | 0.998021i | \(-0.479973\pi\) |
0.924579 | + | 0.380991i | \(0.124417\pi\) | |||||||
\(938\) | −2.37237 | − | 22.5716i | −0.0774606 | − | 0.736988i | ||||
\(939\) | 2.45069 | − | 23.3168i | 0.0799753 | − | 0.760914i | ||||
\(940\) | −38.7428 | + | 5.44494i | −1.26365 | + | 0.177594i | ||||
\(941\) | −49.4572 | + | 6.95075i | −1.61226 | + | 0.226588i | −0.886960 | − | 0.461847i | \(-0.847187\pi\) |
−0.725298 | + | 0.688435i | \(0.758298\pi\) | |||||||
\(942\) | −2.80592 | + | 26.6965i | −0.0914217 | + | 0.869819i | ||||
\(943\) | 0.889034 | + | 8.45859i | 0.0289509 | + | 0.275450i | ||||
\(944\) | 4.60899 | − | 2.88002i | 0.150010 | − | 0.0937365i | ||||
\(945\) | 45.2471 | + | 16.4686i | 1.47189 | + | 0.535724i | ||||
\(946\) | 5.48234 | − | 2.88511i | 0.178246 | − | 0.0938031i | ||||
\(947\) | −19.2328 | + | 16.1382i | −0.624982 | + | 0.524422i | −0.899365 | − | 0.437198i | \(-0.855971\pi\) |
0.274383 | + | 0.961620i | \(0.411526\pi\) | |||||||
\(948\) | 33.2440 | + | 4.67214i | 1.07971 | + | 0.151744i | ||||
\(949\) | −25.7483 | + | 18.7073i | −0.835826 | + | 0.607263i | ||||
\(950\) | −7.13189 | + | 52.9262i | −0.231389 | + | 1.71715i | ||||
\(951\) | 14.7684 | + | 45.4523i | 0.478897 | + | 1.47389i | ||||
\(952\) | 1.29800 | − | 0.690157i | 0.0420683 | − | 0.0223681i | ||||
\(953\) | −35.6037 | + | 2.48965i | −1.15332 | + | 0.0806478i | −0.633579 | − | 0.773678i | \(-0.718415\pi\) |
−0.519738 | + | 0.854326i | \(0.673970\pi\) | |||||||
\(954\) | 27.7045 | − | 41.0737i | 0.896968 | − | 1.32981i | ||||
\(955\) | −49.2369 | + | 63.0204i | −1.59327 | + | 2.03929i | ||||
\(956\) | −2.70957 | − | 2.27360i | −0.0876338 | − | 0.0735335i | ||||
\(957\) | 59.8150 | + | 4.43890i | 1.93354 | + | 0.143489i | ||||
\(958\) | −13.3190 | − | 23.0691i | −0.430317 | − | 0.745330i | ||||
\(959\) | 24.3575 | + | 12.9511i | 0.786544 | + | 0.418213i | ||||
\(960\) | −5.18976 | − | 10.6406i | −0.167499 | − | 0.343423i | ||||
\(961\) | −1.85782 | + | 17.6760i | −0.0599296 | + | 0.570192i | ||||
\(962\) | −17.7933 | − | 3.78207i | −0.573678 | − | 0.121939i | ||||
\(963\) | 19.2125 | − | 47.5527i | 0.619115 | − | 1.53236i | ||||
\(964\) | −13.4604 | − | 19.9558i | −0.433529 | − | 0.642733i | ||||
\(965\) | −3.09211 | + | 4.58424i | −0.0995385 | + | 0.147572i | ||||
\(966\) | −4.56957 | − | 11.3101i | −0.147023 | − | 0.363896i | ||||
\(967\) | −0.731563 | − | 4.14890i | −0.0235255 | − | 0.133420i | 0.970783 | − | 0.239959i | \(-0.0771341\pi\) |
−0.994308 | + | 0.106539i | \(0.966023\pi\) | |||||||
\(968\) | 0.477577 | − | 10.9896i | 0.0153499 | − | 0.353220i | ||||
\(969\) | 9.05471 | − | 2.99903i | 0.290879 | − | 0.0963428i | ||||
\(970\) | −6.51569 | + | 20.0532i | −0.209206 | + | 0.643871i | ||||
\(971\) | 11.2463 | + | 10.8605i | 0.360912 | + | 0.348529i | 0.852901 | − | 0.522073i | \(-0.174841\pi\) |
−0.491989 | + | 0.870601i | \(0.663730\pi\) | |||||||
\(972\) | 12.7615 | − | 0.892370i | 0.409325 | − | 0.0286228i | ||||
\(973\) | 9.36698 | + | 11.9892i | 0.300292 | + | 0.384356i | ||||
\(974\) | 1.05359 | − | 30.1709i | 0.0337593 | − | 0.966739i | ||||
\(975\) | −16.8621 | − | 67.6303i | −0.540020 | − | 2.16590i | ||||
\(976\) | −0.185644 | − | 1.76628i | −0.00594232 | − | 0.0565374i | ||||
\(977\) | −25.3929 | + | 5.39744i | −0.812392 | + | 0.172679i | −0.595333 | − | 0.803479i | \(-0.702980\pi\) |
−0.217059 | + | 0.976158i | \(0.569646\pi\) | |||||||
\(978\) | 7.67542 | − | 43.5295i | 0.245433 | − | 1.39192i | ||||
\(979\) | −22.4047 | + | 6.32125i | −0.716058 | + | 0.202028i | ||||
\(980\) | −6.92291 | − | 11.9908i | −0.221144 | − | 0.383033i | ||||
\(981\) | −5.17389 | − | 5.74618i | −0.165189 | − | 0.183461i | ||||
\(982\) | −18.0460 | − | 1.26190i | −0.575871 | − | 0.0402688i | ||||
\(983\) | −3.06921 | − | 4.55029i | −0.0978926 | − | 0.145132i | 0.776909 | − | 0.629612i | \(-0.216786\pi\) |
−0.874802 | + | 0.484481i | \(0.839009\pi\) | |||||||
\(984\) | 6.67770 | + | 8.54706i | 0.212877 | + | 0.272470i | ||||
\(985\) | 39.6197 | + | 24.7571i | 1.26239 | + | 0.788827i | ||||
\(986\) | 2.13537 | − | 4.37816i | 0.0680041 | − | 0.139429i | ||||
\(987\) | −41.5902 | + | 30.2170i | −1.32383 | + | 0.961819i | ||||
\(988\) | −3.02202 | − | 8.15840i | −0.0961431 | − | 0.259553i | ||||
\(989\) | −4.17487 | −0.132753 | ||||||||
\(990\) | −21.5266 | − | 67.2256i | −0.684161 | − | 2.13657i | ||||
\(991\) | 23.5989 | − | 19.8018i | 0.749645 | − | 0.629026i | −0.185764 | − | 0.982594i | \(-0.559476\pi\) |
0.935409 | + | 0.353568i | \(0.115032\pi\) | |||||||
\(992\) | 0.243731 | + | 6.97954i | 0.00773846 | + | 0.221600i | ||||
\(993\) | 55.5855 | − | 15.9389i | 1.76395 | − | 0.505806i | ||||
\(994\) | 1.53631 | + | 6.16181i | 0.0487288 | + | 0.195441i | ||||
\(995\) | −33.5104 | − | 7.12286i | −1.06235 | − | 0.225810i | ||||
\(996\) | −25.3680 | + | 28.1741i | −0.803817 | + | 0.892729i | ||||
\(997\) | −17.2788 | + | 16.6859i | −0.547225 | + | 0.528449i | −0.916058 | − | 0.401047i | \(-0.868647\pi\) |
0.368832 | + | 0.929496i | \(0.379758\pi\) | |||||||
\(998\) | 13.0242 | + | 26.7035i | 0.412273 | + | 0.845286i | ||||
\(999\) | −53.9721 | + | 11.4721i | −1.70760 | + | 0.362962i |
(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 | 418.2.u.b.9.2 | ✓ | 264 | |
11.5 | even | 5 | inner | 418.2.u.b.313.2 | yes | 264 | |
19.17 | even | 9 | inner | 418.2.u.b.207.2 | yes | 264 | |
209.93 | even | 45 | inner | 418.2.u.b.93.2 | yes | 264 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
418.2.u.b.9.2 | ✓ | 264 | 1.1 | even | 1 | trivial | |
418.2.u.b.93.2 | yes | 264 | 209.93 | even | 45 | inner | |
418.2.u.b.207.2 | yes | 264 | 19.17 | even | 9 | inner | |
418.2.u.b.313.2 | yes | 264 | 11.5 | even | 5 | inner |