Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 181.3 | ||
Character | \(\chi\) | \(=\) | 370.181 |
Dual form | 370.2.o.c.231.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 0.160396 | + | 0.909649i | 0.0926044 | + | 0.525186i | 0.995455 | + | 0.0952317i | \(0.0303592\pi\) |
−0.902851 | + | 0.429954i | \(0.858530\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.766044 | − | 0.642788i | 0.342585 | − | 0.287463i | ||||
\(6\) | −0.923681 | −0.377091 | ||||||||
\(7\) | 1.63147 | − | 1.36896i | 0.616637 | − | 0.517420i | −0.280108 | − | 0.959969i | \(-0.590370\pi\) |
0.896744 | + | 0.442549i | \(0.145926\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 2.01734 | − | 0.734253i | 0.672448 | − | 0.244751i | ||||
\(10\) | 0.500000 | + | 0.866025i | 0.158114 | + | 0.273861i | ||||
\(11\) | 1.53109 | − | 2.65192i | 0.461640 | − | 0.799584i | −0.537403 | − | 0.843326i | \(-0.680594\pi\) |
0.999043 | + | 0.0437416i | \(0.0139278\pi\) | |||||||
\(12\) | 0.160396 | − | 0.909649i | 0.0463022 | − | 0.262593i | ||||
\(13\) | 3.64245 | + | 1.32574i | 1.01023 | + | 0.367695i | 0.793523 | − | 0.608540i | \(-0.208245\pi\) |
0.216712 | + | 0.976236i | \(0.430467\pi\) | |||||||
\(14\) | 1.06486 | + | 1.84440i | 0.284597 | + | 0.492936i | ||||
\(15\) | 0.707581 | + | 0.593731i | 0.182697 | + | 0.153301i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −6.15884 | + | 2.24163i | −1.49374 | + | 0.543676i | −0.954431 | − | 0.298433i | \(-0.903536\pi\) |
−0.539308 | + | 0.842109i | \(0.681314\pi\) | |||||||
\(18\) | 0.372790 | + | 2.11420i | 0.0878675 | + | 0.498321i | ||||
\(19\) | 0.665145 | + | 3.77223i | 0.152595 | + | 0.865408i | 0.960952 | + | 0.276716i | \(0.0892460\pi\) |
−0.808357 | + | 0.588693i | \(0.799643\pi\) | |||||||
\(20\) | −0.939693 | + | 0.342020i | −0.210122 | + | 0.0764780i | ||||
\(21\) | 1.50696 | + | 1.26449i | 0.328845 | + | 0.275933i | ||||
\(22\) | 2.34576 | + | 1.96833i | 0.500118 | + | 0.419649i | ||||
\(23\) | 0.436777 | + | 0.756520i | 0.0910743 | + | 0.157745i | 0.907963 | − | 0.419049i | \(-0.137637\pi\) |
−0.816889 | + | 0.576795i | \(0.804303\pi\) | |||||||
\(24\) | 0.867977 | + | 0.315918i | 0.177175 | + | 0.0644864i | ||||
\(25\) | 0.173648 | − | 0.984808i | 0.0347296 | − | 0.196962i | ||||
\(26\) | −1.93811 | + | 3.35690i | −0.380094 | + | 0.658343i | ||||
\(27\) | 2.37701 | + | 4.11710i | 0.457455 | + | 0.792336i | ||||
\(28\) | −2.00129 | + | 0.728410i | −0.378208 | + | 0.137657i | ||||
\(29\) | 4.64020 | − | 8.03706i | 0.861664 | − | 1.49245i | −0.00865837 | − | 0.999963i | \(-0.502756\pi\) |
0.870322 | − | 0.492483i | \(-0.163911\pi\) | |||||||
\(30\) | −0.707581 | + | 0.593731i | −0.129186 | + | 0.108400i | ||||
\(31\) | −10.6828 | −1.91868 | −0.959340 | − | 0.282252i | \(-0.908919\pi\) | ||||
−0.959340 | + | 0.282252i | \(0.908919\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 2.65790 | + | 0.967395i | 0.462680 | + | 0.168402i | ||||
\(34\) | −1.13811 | − | 6.45453i | −0.195184 | − | 1.10694i | ||||
\(35\) | 0.369824 | − | 2.09737i | 0.0625116 | − | 0.354521i | ||||
\(36\) | −2.14681 | −0.357802 | ||||||||
\(37\) | −2.88144 | + | 5.35699i | −0.473706 | + | 0.880683i | ||||
\(38\) | −3.83042 | −0.621376 | ||||||||
\(39\) | −0.621728 | + | 3.52600i | −0.0995562 | + | 0.564611i | ||||
\(40\) | −0.173648 | − | 0.984808i | −0.0274562 | − | 0.155712i | ||||
\(41\) | 7.73745 | + | 2.81620i | 1.20839 | + | 0.439817i | 0.866144 | − | 0.499795i | \(-0.166591\pi\) |
0.342243 | + | 0.939612i | \(0.388813\pi\) | |||||||
\(42\) | −1.50696 | + | 1.26449i | −0.232528 | + | 0.195114i | ||||
\(43\) | 5.01898 | 0.765388 | 0.382694 | − | 0.923875i | \(-0.374996\pi\) | ||||
0.382694 | + | 0.923875i | \(0.374996\pi\) | |||||||
\(44\) | −2.34576 | + | 1.96833i | −0.353637 | + | 0.296737i | ||||
\(45\) | 1.07341 | − | 1.85919i | 0.160014 | − | 0.277152i | ||||
\(46\) | −0.820873 | + | 0.298773i | −0.121031 | + | 0.0440517i | ||||
\(47\) | −3.62250 | − | 6.27435i | −0.528396 | − | 0.915208i | −0.999452 | − | 0.0331051i | \(-0.989460\pi\) |
0.471056 | − | 0.882103i | \(-0.343873\pi\) | |||||||
\(48\) | −0.461841 | + | 0.799932i | −0.0666610 | + | 0.115460i | ||||
\(49\) | −0.427913 | + | 2.42682i | −0.0611305 | + | 0.346688i | ||||
\(50\) | 0.939693 | + | 0.342020i | 0.132893 | + | 0.0483690i | ||||
\(51\) | −3.02695 | − | 5.24283i | −0.423858 | − | 0.734143i | ||||
\(52\) | −2.96935 | − | 2.49158i | −0.411775 | − | 0.345521i | ||||
\(53\) | 9.36874 | + | 7.86131i | 1.28690 | + | 1.07983i | 0.992254 | + | 0.124225i | \(0.0396446\pi\) |
0.294641 | + | 0.955608i | \(0.404800\pi\) | |||||||
\(54\) | −4.46731 | + | 1.62597i | −0.607924 | + | 0.221266i | ||||
\(55\) | −0.531741 | − | 3.01565i | −0.0716999 | − | 0.406631i | ||||
\(56\) | −0.369824 | − | 2.09737i | −0.0494198 | − | 0.280273i | ||||
\(57\) | −3.32471 | + | 1.21010i | −0.440369 | + | 0.160281i | ||||
\(58\) | 7.10920 | + | 5.96533i | 0.933484 | + | 0.783286i | ||||
\(59\) | −8.59737 | − | 7.21405i | −1.11928 | − | 0.939189i | −0.120714 | − | 0.992687i | \(-0.538518\pi\) |
−0.998568 | + | 0.0534983i | \(0.982963\pi\) | |||||||
\(60\) | −0.461841 | − | 0.799932i | −0.0596234 | − | 0.103271i | ||||
\(61\) | −11.9738 | − | 4.35811i | −1.53309 | − | 0.557999i | −0.568715 | − | 0.822535i | \(-0.692559\pi\) |
−0.964376 | + | 0.264535i | \(0.914781\pi\) | |||||||
\(62\) | 1.85504 | − | 10.5205i | 0.235591 | − | 1.33610i | ||||
\(63\) | 2.28606 | − | 3.95958i | 0.288017 | − | 0.498860i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 3.64245 | − | 1.32574i | 0.451791 | − | 0.164438i | ||||
\(66\) | −1.41424 | + | 2.44953i | −0.174080 | + | 0.301516i | ||||
\(67\) | −1.31652 | + | 1.10469i | −0.160838 | + | 0.134959i | −0.719655 | − | 0.694332i | \(-0.755700\pi\) |
0.558817 | + | 0.829291i | \(0.311256\pi\) | |||||||
\(68\) | 6.55410 | 0.794801 | ||||||||
\(69\) | −0.618110 | + | 0.518656i | −0.0744117 | + | 0.0624389i | ||||
\(70\) | 2.00129 | + | 0.728410i | 0.239200 | + | 0.0870617i | ||||
\(71\) | 0.0544271 | + | 0.308671i | 0.00645931 | + | 0.0366326i | 0.987867 | − | 0.155302i | \(-0.0496350\pi\) |
−0.981408 | + | 0.191934i | \(0.938524\pi\) | |||||||
\(72\) | 0.372790 | − | 2.11420i | 0.0439337 | − | 0.249161i | ||||
\(73\) | 12.0483 | 1.41014 | 0.705071 | − | 0.709137i | \(-0.250915\pi\) | ||||
0.705071 | + | 0.709137i | \(0.250915\pi\) | |||||||
\(74\) | −4.77524 | − | 3.76790i | −0.555111 | − | 0.438009i | ||||
\(75\) | 0.923681 | 0.106658 | ||||||||
\(76\) | 0.665145 | − | 3.77223i | 0.0762974 | − | 0.432704i | ||||
\(77\) | −1.13246 | − | 6.42252i | −0.129056 | − | 0.731914i | ||||
\(78\) | −3.36447 | − | 1.22457i | −0.380951 | − | 0.138655i | ||||
\(79\) | 3.39576 | − | 2.84938i | 0.382052 | − | 0.320580i | −0.431455 | − | 0.902134i | \(-0.642000\pi\) |
0.813508 | + | 0.581554i | \(0.197555\pi\) | |||||||
\(80\) | 1.00000 | 0.111803 | ||||||||
\(81\) | 1.56981 | − | 1.31723i | 0.174423 | − | 0.146359i | ||||
\(82\) | −4.11701 | + | 7.13087i | −0.454648 | + | 0.787473i | ||||
\(83\) | −12.0367 | + | 4.38099i | −1.32120 | + | 0.480876i | −0.903841 | − | 0.427867i | \(-0.859265\pi\) |
−0.417355 | + | 0.908744i | \(0.637043\pi\) | |||||||
\(84\) | −0.983596 | − | 1.70364i | −0.107319 | − | 0.185882i | ||||
\(85\) | −3.27705 | + | 5.67602i | −0.355446 | + | 0.615651i | ||||
\(86\) | −0.871537 | + | 4.94273i | −0.0939803 | + | 0.532989i | ||||
\(87\) | 8.05517 | + | 2.93184i | 0.863605 | + | 0.314327i | ||||
\(88\) | −1.53109 | − | 2.65192i | −0.163214 | − | 0.282696i | ||||
\(89\) | −5.18736 | − | 4.35272i | −0.549860 | − | 0.461387i | 0.325034 | − | 0.945702i | \(-0.394624\pi\) |
−0.874893 | + | 0.484315i | \(0.839069\pi\) | |||||||
\(90\) | 1.64455 | + | 1.37994i | 0.173351 | + | 0.145459i | ||||
\(91\) | 7.75744 | − | 2.82348i | 0.813200 | − | 0.295981i | ||||
\(92\) | −0.151691 | − | 0.860283i | −0.0158149 | − | 0.0896907i | ||||
\(93\) | −1.71347 | − | 9.71756i | −0.177678 | − | 1.00766i | ||||
\(94\) | 6.80807 | − | 2.47794i | 0.702199 | − | 0.255580i | ||||
\(95\) | 2.93427 | + | 2.46215i | 0.301050 | + | 0.252611i | ||||
\(96\) | −0.707581 | − | 0.593731i | −0.0722172 | − | 0.0605974i | ||||
\(97\) | 2.24351 | + | 3.88587i | 0.227794 | + | 0.394550i | 0.957154 | − | 0.289580i | \(-0.0935155\pi\) |
−0.729360 | + | 0.684130i | \(0.760182\pi\) | |||||||
\(98\) | −2.31564 | − | 0.842825i | −0.233915 | − | 0.0851381i | ||||
\(99\) | 1.14155 | − | 6.47404i | 0.114730 | − | 0.650666i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | −9.92506 | − | 17.1907i | −0.987580 | − | 1.71054i | −0.629857 | − | 0.776711i | \(-0.716886\pi\) |
−0.357724 | − | 0.933828i | \(-0.616447\pi\) | |||||||
\(102\) | 5.68881 | − | 2.07056i | 0.563276 | − | 0.205016i | ||||
\(103\) | −3.05995 | + | 5.30000i | −0.301506 | + | 0.522224i | −0.976477 | − | 0.215620i | \(-0.930823\pi\) |
0.674971 | + | 0.737844i | \(0.264156\pi\) | |||||||
\(104\) | 2.96935 | − | 2.49158i | 0.291169 | − | 0.244320i | ||||
\(105\) | 1.96719 | 0.191978 | ||||||||
\(106\) | −9.36874 | + | 7.86131i | −0.909972 | + | 0.763557i | ||||
\(107\) | −16.2488 | − | 5.91407i | −1.57083 | − | 0.571735i | −0.597645 | − | 0.801761i | \(-0.703897\pi\) |
−0.973185 | + | 0.230026i | \(0.926119\pi\) | |||||||
\(108\) | −0.825526 | − | 4.68179i | −0.0794363 | − | 0.450506i | ||||
\(109\) | −1.47566 | + | 8.36889i | −0.141343 | + | 0.801594i | 0.828889 | + | 0.559414i | \(0.188974\pi\) |
−0.970231 | + | 0.242180i | \(0.922137\pi\) | |||||||
\(110\) | 3.06217 | 0.291967 | ||||||||
\(111\) | −5.33515 | − | 1.76186i | −0.506390 | − | 0.167228i | ||||
\(112\) | 2.12973 | 0.201240 | ||||||||
\(113\) | 0.996146 | − | 5.64943i | 0.0937096 | − | 0.531453i | −0.901426 | − | 0.432934i | \(-0.857478\pi\) |
0.995135 | − | 0.0985193i | \(-0.0314106\pi\) | |||||||
\(114\) | −0.614382 | − | 3.48434i | −0.0575422 | − | 0.326338i | ||||
\(115\) | 0.820873 | + | 0.298773i | 0.0765468 | + | 0.0278607i | ||||
\(116\) | −7.10920 | + | 5.96533i | −0.660073 | + | 0.553867i | ||||
\(117\) | 8.32151 | 0.769324 | ||||||||
\(118\) | 8.59737 | − | 7.21405i | 0.791452 | − | 0.664107i | ||||
\(119\) | −6.97923 | + | 12.0884i | −0.639785 | + | 1.10814i | ||||
\(120\) | 0.867977 | − | 0.315918i | 0.0792351 | − | 0.0288392i | ||||
\(121\) | 0.811545 | + | 1.40564i | 0.0737768 | + | 0.127785i | ||||
\(122\) | 6.37114 | − | 11.0351i | 0.576816 | − | 0.999074i | ||||
\(123\) | −1.32070 | + | 7.49007i | −0.119084 | + | 0.675356i | ||||
\(124\) | 10.0385 | + | 3.65372i | 0.901485 | + | 0.328114i | ||||
\(125\) | −0.500000 | − | 0.866025i | −0.0447214 | − | 0.0774597i | ||||
\(126\) | 3.50245 | + | 2.93891i | 0.312023 | + | 0.261819i | ||||
\(127\) | −2.08890 | − | 1.75280i | −0.185360 | − | 0.155536i | 0.545386 | − | 0.838185i | \(-0.316383\pi\) |
−0.730746 | + | 0.682650i | \(0.760828\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 0.805023 | + | 4.56551i | 0.0708783 | + | 0.401971i | ||||
\(130\) | 0.673098 | + | 3.81733i | 0.0590346 | + | 0.334802i | ||||
\(131\) | −14.4858 | + | 5.27240i | −1.26563 | + | 0.460651i | −0.885654 | − | 0.464345i | \(-0.846290\pi\) |
−0.379975 | + | 0.924997i | \(0.624067\pi\) | |||||||
\(132\) | −2.16674 | − | 1.81811i | −0.188590 | − | 0.158246i | ||||
\(133\) | 6.24920 | + | 5.24370i | 0.541875 | + | 0.454687i | ||||
\(134\) | −0.859296 | − | 1.48834i | −0.0742319 | − | 0.128573i | ||||
\(135\) | 4.46731 | + | 1.62597i | 0.384485 | + | 0.139941i | ||||
\(136\) | −1.13811 | + | 6.45453i | −0.0975919 | + | 0.553471i | ||||
\(137\) | −0.0196938 | + | 0.0341107i | −0.00168256 | + | 0.00291428i | −0.866865 | − | 0.498542i | \(-0.833869\pi\) |
0.865183 | + | 0.501456i | \(0.167202\pi\) | |||||||
\(138\) | −0.403443 | − | 0.698784i | −0.0343433 | − | 0.0594844i | ||||
\(139\) | −9.76002 | + | 3.55236i | −0.827834 | + | 0.301307i | −0.720970 | − | 0.692967i | \(-0.756303\pi\) |
−0.106864 | + | 0.994274i | \(0.534081\pi\) | |||||||
\(140\) | −1.06486 | + | 1.84440i | −0.0899975 | + | 0.155880i | ||||
\(141\) | 5.12642 | − | 4.30158i | 0.431723 | − | 0.362258i | ||||
\(142\) | −0.313433 | −0.0263027 | ||||||||
\(143\) | 9.09268 | − | 7.62966i | 0.760368 | − | 0.638025i | ||||
\(144\) | 2.01734 | + | 0.734253i | 0.168112 | + | 0.0611878i | ||||
\(145\) | −1.61153 | − | 9.13941i | −0.133830 | − | 0.758987i | ||||
\(146\) | −2.09216 | + | 11.8652i | −0.173148 | + | 0.981972i | ||||
\(147\) | −2.27619 | −0.187737 | ||||||||
\(148\) | 4.53987 | − | 4.04841i | 0.373175 | − | 0.332777i | ||||
\(149\) | 10.3264 | 0.845972 | 0.422986 | − | 0.906136i | \(-0.360982\pi\) | ||||
0.422986 | + | 0.906136i | \(0.360982\pi\) | |||||||
\(150\) | −0.160396 | + | 0.909649i | −0.0130962 | + | 0.0742725i | ||||
\(151\) | 0.264689 | + | 1.50113i | 0.0215401 | + | 0.122160i | 0.993682 | − | 0.112234i | \(-0.0358006\pi\) |
−0.972142 | + | 0.234394i | \(0.924689\pi\) | |||||||
\(152\) | 3.59942 | + | 1.31008i | 0.291951 | + | 0.106262i | ||||
\(153\) | −10.7786 | + | 9.04430i | −0.871396 | + | 0.731188i | ||||
\(154\) | 6.52160 | 0.525526 | ||||||||
\(155\) | −8.18347 | + | 6.86675i | −0.657312 | + | 0.551550i | ||||
\(156\) | 1.79019 | − | 3.10071i | 0.143330 | − | 0.248255i | ||||
\(157\) | −4.28337 | + | 1.55902i | −0.341850 | + | 0.124423i | −0.507240 | − | 0.861805i | \(-0.669334\pi\) |
0.165389 | + | 0.986228i | \(0.447112\pi\) | |||||||
\(158\) | 2.21642 | + | 3.83896i | 0.176329 | + | 0.305411i | ||||
\(159\) | −5.64832 | + | 9.78318i | −0.447941 | + | 0.775857i | ||||
\(160\) | −0.173648 | + | 0.984808i | −0.0137281 | + | 0.0778559i | ||||
\(161\) | 1.74824 | + | 0.636306i | 0.137780 | + | 0.0501479i | ||||
\(162\) | 1.02462 | + | 1.77470i | 0.0805019 | + | 0.139433i | ||||
\(163\) | −9.24824 | − | 7.76019i | −0.724378 | − | 0.607825i | 0.204215 | − | 0.978926i | \(-0.434536\pi\) |
−0.928593 | + | 0.371101i | \(0.878980\pi\) | |||||||
\(164\) | −6.30763 | − | 5.29273i | −0.492543 | − | 0.413293i | ||||
\(165\) | 2.65790 | − | 0.967395i | 0.206917 | − | 0.0753116i | ||||
\(166\) | −2.22429 | − | 12.6146i | −0.172638 | − | 0.979080i | ||||
\(167\) | 1.94006 | + | 11.0026i | 0.150126 | + | 0.851407i | 0.963107 | + | 0.269117i | \(0.0867320\pi\) |
−0.812981 | + | 0.582290i | \(0.802157\pi\) | |||||||
\(168\) | 1.84855 | − | 0.672819i | 0.142619 | − | 0.0519091i | ||||
\(169\) | 1.55128 | + | 1.30168i | 0.119330 | + | 0.100129i | ||||
\(170\) | −5.02073 | − | 4.21289i | −0.385073 | − | 0.323114i | ||||
\(171\) | 4.11160 | + | 7.12149i | 0.314422 | + | 0.544594i | ||||
\(172\) | −4.71630 | − | 1.71659i | −0.359615 | − | 0.130889i | ||||
\(173\) | −1.02571 | + | 5.81709i | −0.0779832 | + | 0.442265i | 0.920668 | + | 0.390346i | \(0.127645\pi\) |
−0.998651 | + | 0.0519185i | \(0.983466\pi\) | |||||||
\(174\) | −4.28607 | + | 7.42369i | −0.324926 | + | 0.562788i | ||||
\(175\) | −1.06486 | − | 1.84440i | −0.0804962 | − | 0.139423i | ||||
\(176\) | 2.87750 | − | 1.04733i | 0.216900 | − | 0.0789451i | ||||
\(177\) | 5.18327 | − | 8.97768i | 0.389598 | − | 0.674804i | ||||
\(178\) | 5.18736 | − | 4.35272i | 0.388809 | − | 0.326250i | ||||
\(179\) | −4.08027 | −0.304974 | −0.152487 | − | 0.988305i | \(-0.548728\pi\) | ||||
−0.152487 | + | 0.988305i | \(0.548728\pi\) | |||||||
\(180\) | −1.64455 | + | 1.37994i | −0.122578 | + | 0.102855i | ||||
\(181\) | 14.6953 | + | 5.34864i | 1.09229 | + | 0.397561i | 0.824469 | − | 0.565907i | \(-0.191474\pi\) |
0.267822 | + | 0.963468i | \(0.413696\pi\) | |||||||
\(182\) | 1.43352 | + | 8.12988i | 0.106259 | + | 0.602626i | ||||
\(183\) | 2.04380 | − | 11.5910i | 0.151082 | − | 0.856831i | ||||
\(184\) | 0.873554 | 0.0643993 | ||||||||
\(185\) | 1.23609 | + | 5.95584i | 0.0908794 | + | 0.437882i | ||||
\(186\) | 9.86747 | 0.723518 | ||||||||
\(187\) | −3.48508 | + | 19.7649i | −0.254855 | + | 1.44535i | ||||
\(188\) | 1.25808 | + | 7.13493i | 0.0917550 | + | 0.520368i | ||||
\(189\) | 9.51417 | + | 3.46287i | 0.692054 | + | 0.251887i | ||||
\(190\) | −2.93427 | + | 2.46215i | −0.212874 | + | 0.178623i | ||||
\(191\) | 15.6000 | 1.12878 | 0.564388 | − | 0.825510i | \(-0.309112\pi\) | ||||
0.564388 | + | 0.825510i | \(0.309112\pi\) | |||||||
\(192\) | 0.707581 | − | 0.593731i | 0.0510653 | − | 0.0428488i | ||||
\(193\) | −4.24906 | + | 7.35959i | −0.305854 | + | 0.529755i | −0.977451 | − | 0.211162i | \(-0.932275\pi\) |
0.671597 | + | 0.740917i | \(0.265609\pi\) | |||||||
\(194\) | −4.21641 | + | 1.53465i | −0.302721 | + | 0.110181i | ||||
\(195\) | 1.79019 | + | 3.10071i | 0.128199 | + | 0.222046i | ||||
\(196\) | 1.23213 | − | 2.13411i | 0.0880091 | − | 0.152436i | ||||
\(197\) | 1.38366 | − | 7.84712i | 0.0985817 | − | 0.559084i | −0.895009 | − | 0.446048i | \(-0.852831\pi\) |
0.993591 | − | 0.113037i | \(-0.0360577\pi\) | |||||||
\(198\) | 6.17746 | + | 2.24841i | 0.439013 | + | 0.159788i | ||||
\(199\) | 6.01043 | + | 10.4104i | 0.426068 | + | 0.737972i | 0.996520 | − | 0.0833594i | \(-0.0265650\pi\) |
−0.570451 | + | 0.821332i | \(0.693232\pi\) | |||||||
\(200\) | −0.766044 | − | 0.642788i | −0.0541675 | − | 0.0454519i | ||||
\(201\) | −1.21604 | − | 1.02038i | −0.0857730 | − | 0.0719721i | ||||
\(202\) | 18.6530 | − | 6.78914i | 1.31242 | − | 0.477682i | ||||
\(203\) | −3.43211 | − | 19.4645i | −0.240887 | − | 1.36614i | ||||
\(204\) | 1.05125 | + | 5.96193i | 0.0736021 | + | 0.417418i | ||||
\(205\) | 7.73745 | − | 2.81620i | 0.540407 | − | 0.196692i | ||||
\(206\) | −4.68812 | − | 3.93380i | −0.326637 | − | 0.274081i | ||||
\(207\) | 1.43661 | + | 1.20546i | 0.0998511 | + | 0.0837850i | ||||
\(208\) | 1.93811 | + | 3.35690i | 0.134384 | + | 0.232759i | ||||
\(209\) | 11.0220 | + | 4.01170i | 0.762411 | + | 0.277495i | ||||
\(210\) | −0.341599 | + | 1.93730i | −0.0235726 | + | 0.133687i | ||||
\(211\) | −6.99370 | + | 12.1134i | −0.481466 | + | 0.833924i | −0.999774 | − | 0.0212705i | \(-0.993229\pi\) |
0.518308 | + | 0.855194i | \(0.326562\pi\) | |||||||
\(212\) | −6.11501 | − | 10.5915i | −0.419981 | − | 0.727428i | ||||
\(213\) | −0.272053 | + | 0.0990190i | −0.0186407 | + | 0.00678467i | ||||
\(214\) | 8.64580 | − | 14.9750i | 0.591015 | − | 1.02367i | ||||
\(215\) | 3.84476 | − | 3.22614i | 0.262211 | − | 0.220021i | ||||
\(216\) | 4.75401 | 0.323470 | ||||||||
\(217\) | −17.4286 | + | 14.6243i | −1.18313 | + | 0.992763i | ||||
\(218\) | −7.98550 | − | 2.90648i | −0.540846 | − | 0.196852i | ||||
\(219\) | 1.93249 | + | 10.9597i | 0.130585 | + | 0.740586i | ||||
\(220\) | −0.531741 | + | 3.01565i | −0.0358500 | + | 0.203315i | ||||
\(221\) | −25.4051 | −1.70893 | ||||||||
\(222\) | 2.66153 | − | 4.94815i | 0.178630 | − | 0.332098i | ||||
\(223\) | 21.5479 | 1.44296 | 0.721478 | − | 0.692437i | \(-0.243463\pi\) | ||||
0.721478 | + | 0.692437i | \(0.243463\pi\) | |||||||
\(224\) | −0.369824 | + | 2.09737i | −0.0247099 | + | 0.140137i | ||||
\(225\) | −0.372790 | − | 2.11420i | −0.0248527 | − | 0.140947i | ||||
\(226\) | 5.39062 | + | 1.96203i | 0.358579 | + | 0.130512i | ||||
\(227\) | −7.79718 | + | 6.54261i | −0.517517 | + | 0.434248i | −0.863765 | − | 0.503895i | \(-0.831900\pi\) |
0.346248 | + | 0.938143i | \(0.387455\pi\) | |||||||
\(228\) | 3.53809 | 0.234316 | ||||||||
\(229\) | 2.65584 | − | 2.22852i | 0.175503 | − | 0.147265i | −0.550805 | − | 0.834634i | \(-0.685679\pi\) |
0.726308 | + | 0.687369i | \(0.241235\pi\) | |||||||
\(230\) | −0.436777 | + | 0.756520i | −0.0288002 | + | 0.0498835i | ||||
\(231\) | 5.66060 | − | 2.06029i | 0.372440 | − | 0.135557i | ||||
\(232\) | −4.64020 | − | 8.03706i | −0.304644 | − | 0.527659i | ||||
\(233\) | −10.3703 | + | 17.9618i | −0.679378 | + | 1.17672i | 0.295791 | + | 0.955253i | \(0.404417\pi\) |
−0.975169 | + | 0.221464i | \(0.928916\pi\) | |||||||
\(234\) | −1.44502 | + | 8.19509i | −0.0944636 | + | 0.535730i | ||||
\(235\) | −6.80807 | − | 2.47794i | −0.444110 | − | 0.161643i | ||||
\(236\) | 5.61153 | + | 9.71946i | 0.365280 | + | 0.632683i | ||||
\(237\) | 3.13660 | + | 2.63192i | 0.203744 | + | 0.170961i | ||||
\(238\) | −10.6928 | − | 8.97232i | −0.693111 | − | 0.581589i | ||||
\(239\) | −4.17930 | + | 1.52114i | −0.270336 | + | 0.0983943i | −0.473631 | − | 0.880723i | \(-0.657057\pi\) |
0.203295 | + | 0.979117i | \(0.434835\pi\) | |||||||
\(240\) | 0.160396 | + | 0.909649i | 0.0103535 | + | 0.0587176i | ||||
\(241\) | −0.625751 | − | 3.54881i | −0.0403082 | − | 0.228599i | 0.957998 | − | 0.286774i | \(-0.0925829\pi\) |
−0.998306 | + | 0.0581751i | \(0.981472\pi\) | |||||||
\(242\) | −1.52521 | + | 0.555129i | −0.0980439 | + | 0.0356851i | ||||
\(243\) | 12.3754 | + | 10.3842i | 0.793880 | + | 0.666144i | ||||
\(244\) | 9.76115 | + | 8.19058i | 0.624893 | + | 0.524348i | ||||
\(245\) | 1.23213 | + | 2.13411i | 0.0787177 | + | 0.136343i | ||||
\(246\) | −7.14694 | − | 2.60127i | −0.455672 | − | 0.165851i | ||||
\(247\) | −2.57825 | + | 14.6220i | −0.164050 | + | 0.930374i | ||||
\(248\) | −5.34138 | + | 9.25154i | −0.339178 | + | 0.587474i | ||||
\(249\) | −5.91579 | − | 10.2464i | −0.374898 | − | 0.649342i | ||||
\(250\) | 0.939693 | − | 0.342020i | 0.0594314 | − | 0.0216313i | ||||
\(251\) | 15.0664 | − | 26.0958i | 0.950985 | − | 1.64715i | 0.207686 | − | 0.978196i | \(-0.433407\pi\) |
0.743299 | − | 0.668959i | \(-0.233260\pi\) | |||||||
\(252\) | −3.50245 | + | 2.93891i | −0.220634 | + | 0.185134i | ||||
\(253\) | 2.67498 | 0.168174 | ||||||||
\(254\) | 2.08890 | − | 1.75280i | 0.131069 | − | 0.109980i | ||||
\(255\) | −5.68881 | − | 2.07056i | −0.356247 | − | 0.129663i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −0.105308 | + | 0.597230i | −0.00656892 | + | 0.0372542i | −0.987916 | − | 0.154990i | \(-0.950465\pi\) |
0.981347 | + | 0.192244i | \(0.0615766\pi\) | |||||||
\(258\) | −4.63594 | −0.288621 | ||||||||
\(259\) | 2.63254 | + | 12.6843i | 0.163578 | + | 0.788166i | ||||
\(260\) | −3.87622 | −0.240393 | ||||||||
\(261\) | 3.45964 | − | 19.6206i | 0.214146 | − | 1.21449i | ||||
\(262\) | −2.67687 | − | 15.1813i | −0.165377 | − | 0.937901i | ||||
\(263\) | −6.95756 | − | 2.53234i | −0.429021 | − | 0.156151i | 0.118479 | − | 0.992957i | \(-0.462198\pi\) |
−0.547500 | + | 0.836806i | \(0.684420\pi\) | |||||||
\(264\) | 2.16674 | − | 1.81811i | 0.133353 | − | 0.111897i | ||||
\(265\) | 12.2300 | 0.751284 | ||||||||
\(266\) | −6.24920 | + | 5.24370i | −0.383163 | + | 0.321512i | ||||
\(267\) | 3.12741 | − | 5.41683i | 0.191394 | − | 0.331505i | ||||
\(268\) | 1.61495 | − | 0.587793i | 0.0986487 | − | 0.0359052i | ||||
\(269\) | −11.2815 | − | 19.5401i | −0.687844 | − | 1.19138i | −0.972534 | − | 0.232761i | \(-0.925224\pi\) |
0.284690 | − | 0.958620i | \(-0.408109\pi\) | |||||||
\(270\) | −2.37701 | + | 4.11710i | −0.144660 | + | 0.250559i | ||||
\(271\) | 2.39428 | − | 13.5786i | 0.145442 | − | 0.824843i | −0.821569 | − | 0.570109i | \(-0.806901\pi\) |
0.967011 | − | 0.254734i | \(-0.0819880\pi\) | |||||||
\(272\) | −6.15884 | − | 2.24163i | −0.373435 | − | 0.135919i | ||||
\(273\) | 3.81263 | + | 6.60367i | 0.230751 | + | 0.399672i | ||||
\(274\) | −0.0301727 | − | 0.0253179i | −0.00182280 | − | 0.00152951i | ||||
\(275\) | −2.34576 | − | 1.96833i | −0.141455 | − | 0.118695i | ||||
\(276\) | 0.758225 | − | 0.275971i | 0.0456398 | − | 0.0166115i | ||||
\(277\) | 0.854784 | + | 4.84772i | 0.0513590 | + | 0.291271i | 0.999659 | − | 0.0261032i | \(-0.00830984\pi\) |
−0.948300 | + | 0.317375i | \(0.897199\pi\) | |||||||
\(278\) | −1.80358 | − | 10.2286i | −0.108171 | − | 0.613471i | ||||
\(279\) | −21.5508 | + | 7.84385i | −1.29021 | + | 0.469599i | ||||
\(280\) | −1.63147 | − | 1.36896i | −0.0974988 | − | 0.0818112i | ||||
\(281\) | 11.5237 | + | 9.66955i | 0.687447 | + | 0.576837i | 0.918172 | − | 0.396182i | \(-0.129665\pi\) |
−0.230725 | + | 0.973019i | \(0.574110\pi\) | |||||||
\(282\) | 3.34603 | + | 5.79550i | 0.199253 | + | 0.345117i | ||||
\(283\) | −14.3169 | − | 5.21091i | −0.851049 | − | 0.309757i | −0.120581 | − | 0.992703i | \(-0.538476\pi\) |
−0.730468 | + | 0.682947i | \(0.760698\pi\) | |||||||
\(284\) | 0.0544271 | − | 0.308671i | 0.00322965 | − | 0.0183163i | ||||
\(285\) | −1.76904 | + | 3.06407i | −0.104789 | + | 0.181500i | ||||
\(286\) | 5.93483 | + | 10.2794i | 0.350934 | + | 0.607835i | ||||
\(287\) | 16.4787 | − | 5.99775i | 0.972705 | − | 0.354036i | ||||
\(288\) | −1.07341 | + | 1.85919i | −0.0632511 | + | 0.109554i | ||||
\(289\) | 19.8836 | − | 16.6843i | 1.16963 | − | 0.981432i | ||||
\(290\) | 9.28040 | 0.544964 | ||||||||
\(291\) | −3.17493 | + | 2.66408i | −0.186117 | + | 0.156171i | ||||
\(292\) | −11.3217 | − | 4.12075i | −0.662550 | − | 0.241148i | ||||
\(293\) | −5.28745 | − | 29.9866i | −0.308896 | − | 1.75184i | −0.604573 | − | 0.796550i | \(-0.706656\pi\) |
0.295676 | − | 0.955288i | \(-0.404455\pi\) | |||||||
\(294\) | 0.395255 | − | 2.24161i | 0.0230518 | − | 0.130733i | ||||
\(295\) | −11.2231 | −0.653432 | ||||||||
\(296\) | 3.19857 | + | 5.17389i | 0.185913 | + | 0.300726i | ||||
\(297\) | 14.5576 | 0.844719 | ||||||||
\(298\) | −1.79316 | + | 10.1695i | −0.103875 | + | 0.589105i | ||||
\(299\) | 0.587988 | + | 3.33464i | 0.0340042 | + | 0.192847i | ||||
\(300\) | −0.867977 | − | 0.315918i | −0.0501126 | − | 0.0182395i | ||||
\(301\) | 8.18831 | − | 6.87081i | 0.471966 | − | 0.396027i | ||||
\(302\) | −1.52428 | −0.0877127 | ||||||||
\(303\) | 14.0456 | − | 11.7856i | 0.806897 | − | 0.677067i | ||||
\(304\) | −1.91521 | + | 3.31724i | −0.109845 | + | 0.190257i | ||||
\(305\) | −11.9738 | + | 4.35811i | −0.685619 | + | 0.249545i | ||||
\(306\) | −7.03521 | − | 12.1853i | −0.402176 | − | 0.696590i | ||||
\(307\) | 2.81154 | − | 4.86972i | 0.160463 | − | 0.277930i | −0.774572 | − | 0.632486i | \(-0.782035\pi\) |
0.935035 | + | 0.354556i | \(0.115368\pi\) | |||||||
\(308\) | −1.13246 | + | 6.42252i | −0.0645281 | + | 0.365957i | ||||
\(309\) | −5.31194 | − | 1.93339i | −0.302186 | − | 0.109987i | ||||
\(310\) | −5.34138 | − | 9.25154i | −0.303370 | − | 0.525452i | ||||
\(311\) | −3.24387 | − | 2.72193i | −0.183943 | − | 0.154347i | 0.546166 | − | 0.837677i | \(-0.316087\pi\) |
−0.730110 | + | 0.683330i | \(0.760531\pi\) | |||||||
\(312\) | 2.74274 | + | 2.30143i | 0.155277 | + | 0.130293i | ||||
\(313\) | −17.7368 | + | 6.45566i | −1.00254 | + | 0.364895i | −0.790564 | − | 0.612379i | \(-0.790213\pi\) |
−0.211978 | + | 0.977275i | \(0.567990\pi\) | |||||||
\(314\) | −0.791535 | − | 4.48902i | −0.0446689 | − | 0.253330i | ||||
\(315\) | −0.793942 | − | 4.50267i | −0.0447336 | − | 0.253697i | ||||
\(316\) | −4.16551 | + | 1.51612i | −0.234328 | + | 0.0852885i | ||||
\(317\) | 20.1007 | + | 16.8665i | 1.12897 | + | 0.947315i | 0.999022 | − | 0.0442069i | \(-0.0140761\pi\) |
0.129943 | + | 0.991521i | \(0.458521\pi\) | |||||||
\(318\) | −8.65373 | − | 7.26134i | −0.485277 | − | 0.407196i | ||||
\(319\) | −14.2091 | − | 24.6109i | −0.795557 | − | 1.37795i | ||||
\(320\) | −0.939693 | − | 0.342020i | −0.0525304 | − | 0.0191195i | ||||
\(321\) | 2.77350 | − | 15.7293i | 0.154801 | − | 0.877923i | ||||
\(322\) | −0.930217 | + | 1.61118i | −0.0518390 | + | 0.0897877i | ||||
\(323\) | −12.5525 | − | 21.7415i | −0.698439 | − | 1.20973i | ||||
\(324\) | −1.92566 | + | 0.700882i | −0.106981 | + | 0.0389379i | ||||
\(325\) | 1.93811 | − | 3.35690i | 0.107507 | − | 0.186207i | ||||
\(326\) | 9.24824 | − | 7.76019i | 0.512213 | − | 0.429797i | ||||
\(327\) | −7.84944 | −0.434075 | ||||||||
\(328\) | 6.30763 | − | 5.29273i | 0.348280 | − | 0.292242i | ||||
\(329\) | −14.4993 | − | 5.27733i | −0.799375 | − | 0.290949i | ||||
\(330\) | 0.491159 | + | 2.78550i | 0.0270374 | + | 0.153337i | ||||
\(331\) | 1.17894 | − | 6.68612i | 0.0648006 | − | 0.367502i | −0.935113 | − | 0.354350i | \(-0.884702\pi\) |
0.999914 | − | 0.0131525i | \(-0.00418670\pi\) | |||||||
\(332\) | 12.8092 | 0.702994 | ||||||||
\(333\) | −1.87947 | + | 12.9226i | −0.102994 | + | 0.708154i | ||||
\(334\) | −11.1723 | −0.611323 | ||||||||
\(335\) | −0.298430 | + | 1.69248i | −0.0163050 | + | 0.0924702i | ||||
\(336\) | 0.341599 | + | 1.93730i | 0.0186358 | + | 0.105689i | ||||
\(337\) | −9.39651 | − | 3.42005i | −0.511861 | − | 0.186302i | 0.0731603 | − | 0.997320i | \(-0.476692\pi\) |
−0.585021 | + | 0.811018i | \(0.698914\pi\) | |||||||
\(338\) | −1.55128 | + | 1.30168i | −0.0843788 | + | 0.0708022i | ||||
\(339\) | 5.29877 | 0.287790 | ||||||||
\(340\) | 5.02073 | − | 4.21289i | 0.272287 | − | 0.228476i | ||||
\(341\) | −16.3562 | + | 28.3298i | −0.885740 | + | 1.53415i | ||||
\(342\) | −7.72727 | + | 2.81250i | −0.417843 | + | 0.152082i | ||||
\(343\) | 10.0781 | + | 17.4559i | 0.544169 | + | 0.942528i | ||||
\(344\) | 2.50949 | − | 4.34657i | 0.135303 | − | 0.234351i | ||||
\(345\) | −0.140114 | + | 0.794627i | −0.00754350 | + | 0.0427813i | ||||
\(346\) | −5.55060 | − | 2.02025i | −0.298402 | − | 0.108609i | ||||
\(347\) | 4.24026 | + | 7.34435i | 0.227629 | + | 0.394265i | 0.957105 | − | 0.289741i | \(-0.0935693\pi\) |
−0.729476 | + | 0.684007i | \(0.760236\pi\) | |||||||
\(348\) | −6.56664 | − | 5.51006i | −0.352009 | − | 0.295370i | ||||
\(349\) | 10.2298 | + | 8.58382i | 0.547588 | + | 0.459481i | 0.874123 | − | 0.485704i | \(-0.161437\pi\) |
−0.326535 | + | 0.945185i | \(0.605881\pi\) | |||||||
\(350\) | 2.00129 | − | 0.728410i | 0.106973 | − | 0.0389352i | ||||
\(351\) | 3.19992 | + | 18.1476i | 0.170799 | + | 0.968649i | ||||
\(352\) | 0.531741 | + | 3.01565i | 0.0283419 | + | 0.160735i | ||||
\(353\) | −14.4781 | + | 5.26958i | −0.770589 | + | 0.280472i | −0.697243 | − | 0.716835i | \(-0.745590\pi\) |
−0.0733464 | + | 0.997307i | \(0.523368\pi\) | |||||||
\(354\) | 7.94123 | + | 6.66348i | 0.422072 | + | 0.354160i | ||||
\(355\) | 0.240104 | + | 0.201471i | 0.0127434 | + | 0.0106930i | ||||
\(356\) | 3.38581 | + | 5.86440i | 0.179448 | + | 0.310812i | ||||
\(357\) | −12.1156 | − | 4.40972i | −0.641226 | − | 0.233387i | ||||
\(358\) | 0.708532 | − | 4.01828i | 0.0374471 | − | 0.212373i | ||||
\(359\) | −1.65304 | + | 2.86315i | −0.0872442 | + | 0.151111i | −0.906345 | − | 0.422538i | \(-0.861139\pi\) |
0.819101 | + | 0.573649i | \(0.194473\pi\) | |||||||
\(360\) | −1.07341 | − | 1.85919i | −0.0565735 | − | 0.0979881i | ||||
\(361\) | 4.06688 | − | 1.48022i | 0.214046 | − | 0.0779065i | ||||
\(362\) | −7.81919 | + | 13.5432i | −0.410967 | + | 0.711817i | ||||
\(363\) | −1.14847 | + | 0.963678i | −0.0602789 | + | 0.0505800i | ||||
\(364\) | −8.25529 | −0.432695 | ||||||||
\(365\) | 9.22950 | − | 7.74447i | 0.483094 | − | 0.405364i | ||||
\(366\) | 11.0600 | + | 4.02551i | 0.578115 | + | 0.210417i | ||||
\(367\) | −5.61443 | − | 31.8410i | −0.293071 | − | 1.66209i | −0.674941 | − | 0.737872i | \(-0.735831\pi\) |
0.381870 | − | 0.924216i | \(-0.375280\pi\) | |||||||
\(368\) | −0.151691 | + | 0.860283i | −0.00790745 | + | 0.0448454i | ||||
\(369\) | 17.6769 | 0.920223 | ||||||||
\(370\) | −6.08001 | + | 0.183093i | −0.316084 | + | 0.00951853i | ||||
\(371\) | 26.0466 | 1.35227 | ||||||||
\(372\) | −1.71347 | + | 9.71756i | −0.0888392 | + | 0.503832i | ||||
\(373\) | −2.04722 | − | 11.6104i | −0.106001 | − | 0.601162i | −0.990816 | − | 0.135219i | \(-0.956826\pi\) |
0.884815 | − | 0.465943i | \(-0.154285\pi\) | |||||||
\(374\) | −18.8594 | − | 6.86428i | −0.975199 | − | 0.354943i | ||||
\(375\) | 0.707581 | − | 0.593731i | 0.0365393 | − | 0.0306601i | ||||
\(376\) | −7.24500 | −0.373632 | ||||||||
\(377\) | 27.5568 | − | 23.1229i | 1.41925 | − | 1.19089i | ||||
\(378\) | −5.06238 | + | 8.76830i | −0.260381 | + | 0.450993i | ||||
\(379\) | 13.8035 | − | 5.02408i | 0.709040 | − | 0.258070i | 0.0377745 | − | 0.999286i | \(-0.487973\pi\) |
0.671266 | + | 0.741217i | \(0.265751\pi\) | |||||||
\(380\) | −1.91521 | − | 3.31724i | −0.0982482 | − | 0.170171i | ||||
\(381\) | 1.25938 | − | 2.18131i | 0.0645199 | − | 0.111752i | ||||
\(382\) | −2.70891 | + | 15.3630i | −0.138600 | + | 0.786039i | ||||
\(383\) | 2.97369 | + | 1.08233i | 0.151948 | + | 0.0553047i | 0.416875 | − | 0.908964i | \(-0.363125\pi\) |
−0.264926 | + | 0.964269i | \(0.585348\pi\) | |||||||
\(384\) | 0.461841 | + | 0.799932i | 0.0235682 | + | 0.0408213i | ||||
\(385\) | −4.99584 | − | 4.19200i | −0.254611 | − | 0.213644i | ||||
\(386\) | −6.50994 | − | 5.46249i | −0.331347 | − | 0.278033i | ||||
\(387\) | 10.1250 | − | 3.68521i | 0.514684 | − | 0.187330i | ||||
\(388\) | −0.779162 | − | 4.41885i | −0.0395559 | − | 0.224333i | ||||
\(389\) | −2.63314 | − | 14.9333i | −0.133506 | − | 0.757148i | −0.975889 | − | 0.218269i | \(-0.929959\pi\) |
0.842383 | − | 0.538879i | \(-0.181152\pi\) | |||||||
\(390\) | −3.36447 | + | 1.22457i | −0.170366 | + | 0.0620083i | ||||
\(391\) | −4.38588 | − | 3.68019i | −0.221804 | − | 0.186115i | ||||
\(392\) | 1.88773 | + | 1.58399i | 0.0953447 | + | 0.0800037i | ||||
\(393\) | −7.11948 | − | 12.3313i | −0.359130 | − | 0.622032i | ||||
\(394\) | 7.48764 | + | 2.72528i | 0.377222 | + | 0.137297i | ||||
\(395\) | 0.769755 | − | 4.36550i | 0.0387306 | − | 0.219652i | ||||
\(396\) | −3.28696 | + | 5.69318i | −0.165176 | + | 0.286093i | ||||
\(397\) | 4.16879 | + | 7.22055i | 0.209225 | + | 0.362389i | 0.951471 | − | 0.307739i | \(-0.0995724\pi\) |
−0.742245 | + | 0.670128i | \(0.766239\pi\) | |||||||
\(398\) | −11.2959 | + | 4.11138i | −0.566213 | + | 0.206085i | ||||
\(399\) | −3.76758 | + | 6.52565i | −0.188615 | + | 0.326691i | ||||
\(400\) | 0.766044 | − | 0.642788i | 0.0383022 | − | 0.0321394i | ||||
\(401\) | 10.9203 | 0.545332 | 0.272666 | − | 0.962109i | \(-0.412095\pi\) | ||||
0.272666 | + | 0.962109i | \(0.412095\pi\) | |||||||
\(402\) | 1.21604 | − | 1.02038i | 0.0606507 | − | 0.0508920i | ||||
\(403\) | −38.9115 | − | 14.1626i | −1.93832 | − | 0.705490i | ||||
\(404\) | 3.44694 | + | 19.5485i | 0.171491 | + | 0.972577i | ||||
\(405\) | 0.355847 | − | 2.01811i | 0.0176822 | − | 0.100281i | ||||
\(406\) | 19.7647 | 0.980908 | ||||||||
\(407\) | 9.79457 | + | 15.8434i | 0.485499 | + | 0.785326i | ||||
\(408\) | −6.05390 | −0.299713 | ||||||||
\(409\) | −2.03385 | + | 11.5345i | −0.100567 | + | 0.570346i | 0.892331 | + | 0.451382i | \(0.149069\pi\) |
−0.992898 | + | 0.118965i | \(0.962042\pi\) | |||||||
\(410\) | 1.42982 | + | 8.10893i | 0.0706139 | + | 0.400471i | ||||
\(411\) | −0.0341876 | − | 0.0124433i | −0.00168635 | − | 0.000613781i | ||||
\(412\) | 4.68812 | − | 3.93380i | 0.230967 | − | 0.193804i | ||||
\(413\) | −23.9021 | −1.17614 | ||||||||
\(414\) | −1.43661 | + | 1.20546i | −0.0706054 | + | 0.0592450i | ||||
\(415\) | −6.40458 | + | 11.0931i | −0.314388 | + | 0.544537i | ||||
\(416\) | −3.64245 | + | 1.32574i | −0.178586 | + | 0.0650000i | ||||
\(417\) | −4.79686 | − | 8.30841i | −0.234903 | − | 0.406864i | ||||
\(418\) | −5.86471 | + | 10.1580i | −0.286852 | + | 0.496842i | ||||
\(419\) | −5.63853 | + | 31.9777i | −0.275460 | + | 1.56221i | 0.462036 | + | 0.886861i | \(0.347119\pi\) |
−0.737496 | + | 0.675351i | \(0.763992\pi\) | |||||||
\(420\) | −1.84855 | − | 0.672819i | −0.0902002 | − | 0.0328302i | ||||
\(421\) | −2.27165 | − | 3.93461i | −0.110713 | − | 0.191761i | 0.805345 | − | 0.592807i | \(-0.201980\pi\) |
−0.916058 | + | 0.401046i | \(0.868647\pi\) | |||||||
\(422\) | −10.7150 | − | 8.99093i | −0.521596 | − | 0.437671i | ||||
\(423\) | −11.9148 | − | 9.99770i | −0.579317 | − | 0.486105i | ||||
\(424\) | 11.4925 | − | 4.18291i | 0.558123 | − | 0.203140i | ||||
\(425\) | 1.13811 | + | 6.45453i | 0.0552063 | + | 0.313091i | ||||
\(426\) | −0.0502733 | − | 0.285114i | −0.00243575 | − | 0.0138138i | ||||
\(427\) | −25.5010 | + | 9.28160i | −1.23408 | + | 0.449168i | ||||
\(428\) | 13.2461 | + | 11.1148i | 0.640276 | + | 0.537255i | ||||
\(429\) | 8.39874 | + | 7.04738i | 0.405495 | + | 0.340251i | ||||
\(430\) | 2.50949 | + | 4.34657i | 0.121018 | + | 0.209610i | ||||
\(431\) | 22.3137 | + | 8.12153i | 1.07481 | + | 0.391200i | 0.817975 | − | 0.575254i | \(-0.195097\pi\) |
0.256839 | + | 0.966454i | \(0.417319\pi\) | |||||||
\(432\) | −0.825526 | + | 4.68179i | −0.0397181 | + | 0.225253i | ||||
\(433\) | −2.84994 | + | 4.93624i | −0.136959 | + | 0.237221i | −0.926344 | − | 0.376678i | \(-0.877066\pi\) |
0.789385 | + | 0.613899i | \(0.210400\pi\) | |||||||
\(434\) | −11.3757 | − | 19.7033i | −0.546051 | − | 0.945788i | ||||
\(435\) | 8.05517 | − | 2.93184i | 0.386216 | − | 0.140571i | ||||
\(436\) | 4.24900 | − | 7.35948i | 0.203490 | − | 0.352455i | ||||
\(437\) | −2.56325 | + | 2.15082i | −0.122617 | + | 0.102888i | ||||
\(438\) | −11.1287 | −0.531752 | ||||||||
\(439\) | 28.5863 | − | 23.9867i | 1.36435 | − | 1.14482i | 0.389735 | − | 0.920927i | \(-0.372567\pi\) |
0.974613 | − | 0.223897i | \(-0.0718779\pi\) | |||||||
\(440\) | −2.87750 | − | 1.04733i | −0.137180 | − | 0.0499293i | ||||
\(441\) | 0.918650 | + | 5.20992i | 0.0437452 | + | 0.248091i | ||||
\(442\) | 4.41155 | − | 25.0192i | 0.209836 | − | 1.19004i | ||||
\(443\) | −3.11386 | −0.147944 | −0.0739719 | − | 0.997260i | \(-0.523568\pi\) | ||||
−0.0739719 | + | 0.997260i | \(0.523568\pi\) | |||||||
\(444\) | 4.41080 | + | 3.48034i | 0.209328 | + | 0.165169i | ||||
\(445\) | −6.77162 | −0.321006 | ||||||||
\(446\) | −3.74176 | + | 21.2206i | −0.177177 | + | 1.00482i | ||||
\(447\) | 1.65631 | + | 9.39340i | 0.0783408 | + | 0.444293i | ||||
\(448\) | −2.00129 | − | 0.728410i | −0.0945521 | − | 0.0344141i | ||||
\(449\) | −7.32696 | + | 6.14805i | −0.345781 | + | 0.290144i | −0.799093 | − | 0.601207i | \(-0.794687\pi\) |
0.453312 | + | 0.891352i | \(0.350242\pi\) | |||||||
\(450\) | 2.14681 | 0.101202 | ||||||||
\(451\) | 19.3151 | − | 16.2073i | 0.909510 | − | 0.763170i | ||||
\(452\) | −2.86829 | + | 4.96802i | −0.134913 | + | 0.233676i | ||||
\(453\) | −1.32304 | + | 0.481548i | −0.0621620 | + | 0.0226251i | ||||
\(454\) | −5.08925 | − | 8.81483i | −0.238850 | − | 0.413701i | ||||
\(455\) | 4.12765 | − | 7.14929i | 0.193507 | − | 0.335164i | ||||
\(456\) | −0.614382 | + | 3.48434i | −0.0287711 | + | 0.163169i | ||||
\(457\) | −13.7349 | − | 4.99909i | −0.642491 | − | 0.233848i | 0.000167998 | − | 1.00000i | \(-0.499947\pi\) |
−0.642659 | + | 0.766152i | \(0.722169\pi\) | |||||||
\(458\) | 1.73348 | + | 3.00247i | 0.0810002 | + | 0.140296i | ||||
\(459\) | −23.8686 | − | 20.0282i | −1.11409 | − | 0.934835i | ||||
\(460\) | −0.669181 | − | 0.561510i | −0.0312007 | − | 0.0261805i | ||||
\(461\) | 13.3574 | − | 4.86169i | 0.622115 | − | 0.226432i | −0.0116805 | − | 0.999932i | \(-0.503718\pi\) |
0.633796 | + | 0.773500i | \(0.281496\pi\) | |||||||
\(462\) | 1.04604 | + | 5.93237i | 0.0486660 | + | 0.275999i | ||||
\(463\) | 0.461499 | + | 2.61729i | 0.0214477 | + | 0.121636i | 0.993652 | − | 0.112499i | \(-0.0358855\pi\) |
−0.972204 | + | 0.234135i | \(0.924774\pi\) | |||||||
\(464\) | 8.72073 | − | 3.17408i | 0.404850 | − | 0.147353i | ||||
\(465\) | −7.55892 | − | 6.34269i | −0.350537 | − | 0.294135i | ||||
\(466\) | −15.8881 | − | 13.3317i | −0.736004 | − | 0.617581i | ||||
\(467\) | −11.0473 | − | 19.1345i | −0.511208 | − | 0.885437i | −0.999916 | − | 0.0129901i | \(-0.995865\pi\) |
0.488708 | − | 0.872447i | \(-0.337468\pi\) | |||||||
\(468\) | −7.81966 | − | 2.84612i | −0.361464 | − | 0.131562i | ||||
\(469\) | −0.635576 | + | 3.60453i | −0.0293482 | + | 0.166442i | ||||
\(470\) | 3.62250 | − | 6.27435i | 0.167093 | − | 0.289414i | ||||
\(471\) | −2.10519 | − | 3.64630i | −0.0970022 | − | 0.168013i | ||||
\(472\) | −10.5462 | + | 3.83851i | −0.485430 | + | 0.176682i | ||||
\(473\) | 7.68450 | − | 13.3099i | 0.353334 | − | 0.611992i | ||||
\(474\) | −3.13660 | + | 2.63192i | −0.144069 | + | 0.120888i | ||||
\(475\) | 3.83042 | 0.175752 | ||||||||
\(476\) | 10.6928 | − | 8.97232i | 0.490104 | − | 0.411246i | ||||
\(477\) | 24.6722 | + | 8.97993i | 1.12966 | + | 0.411163i | ||||
\(478\) | −0.772303 | − | 4.37995i | −0.0353243 | − | 0.200334i | ||||
\(479\) | −6.37752 | + | 36.1687i | −0.291396 | + | 1.65259i | 0.390102 | + | 0.920772i | \(0.372440\pi\) |
−0.681499 | + | 0.731819i | \(0.738671\pi\) | |||||||
\(480\) | −0.923681 | −0.0421601 | ||||||||
\(481\) | −17.5975 | + | 15.6925i | −0.802377 | + | 0.715517i | ||||
\(482\) | 3.60356 | 0.164138 | ||||||||
\(483\) | −0.298405 | + | 1.69234i | −0.0135779 | + | 0.0770042i | ||||
\(484\) | −0.281847 | − | 1.59843i | −0.0128112 | − | 0.0726560i | ||||
\(485\) | 4.21641 | + | 1.53465i | 0.191457 | + | 0.0696848i | ||||
\(486\) | −12.3754 | + | 10.3842i | −0.561358 | + | 0.471035i | ||||
\(487\) | 24.5040 | 1.11038 | 0.555191 | − | 0.831723i | \(-0.312645\pi\) | ||||
0.555191 | + | 0.831723i | \(0.312645\pi\) | |||||||
\(488\) | −9.76115 | + | 8.19058i | −0.441866 | + | 0.370770i | ||||
\(489\) | 5.57567 | − | 9.65735i | 0.252141 | − | 0.436720i | ||||
\(490\) | −2.31564 | + | 0.842825i | −0.104610 | + | 0.0380749i | ||||
\(491\) | 3.72723 | + | 6.45575i | 0.168207 | + | 0.291344i | 0.937790 | − | 0.347204i | \(-0.112869\pi\) |
−0.769582 | + | 0.638548i | \(0.779536\pi\) | |||||||
\(492\) | 3.80281 | − | 6.58665i | 0.171444 | − | 0.296949i | ||||
\(493\) | −10.5621 | + | 59.9006i | −0.475693 | + | 2.69779i | ||||
\(494\) | −13.9521 | − | 5.07816i | −0.627736 | − | 0.228477i | ||||
\(495\) | −3.28696 | − | 5.69318i | −0.147738 | − | 0.255889i | ||||
\(496\) | −8.18347 | − | 6.86675i | −0.367449 | − | 0.308326i | ||||
\(497\) | 0.511356 | + | 0.429078i | 0.0229374 | + | 0.0192468i | ||||
\(498\) | 11.1180 | − | 4.04664i | 0.498212 | − | 0.181334i | ||||
\(499\) | −3.86679 | − | 21.9297i | −0.173102 | − | 0.981707i | −0.940312 | − | 0.340313i | \(-0.889467\pi\) |
0.767211 | − | 0.641395i | \(-0.221644\pi\) | |||||||
\(500\) | 0.173648 | + | 0.984808i | 0.00776578 | + | 0.0440419i | ||||
\(501\) | −9.69733 | + | 3.52954i | −0.433245 | + | 0.157688i | ||||
\(502\) | 23.0831 | + | 19.3690i | 1.03025 | + | 0.864483i | ||||
\(503\) | 20.0016 | + | 16.7834i | 0.891829 | + | 0.748333i | 0.968576 | − | 0.248717i | \(-0.0800090\pi\) |
−0.0767473 | + | 0.997051i | \(0.524453\pi\) | |||||||
\(504\) | −2.28606 | − | 3.95958i | −0.101829 | − | 0.176374i | ||||
\(505\) | −18.6530 | − | 6.78914i | −0.830048 | − | 0.302113i | ||||
\(506\) | −0.464505 | + | 2.63434i | −0.0206497 | + | 0.117111i | ||||
\(507\) | −0.935254 | + | 1.61991i | −0.0415361 | + | 0.0719426i | ||||
\(508\) | 1.36343 | + | 2.36154i | 0.0604926 | + | 0.104776i | ||||
\(509\) | 19.8122 | − | 7.21105i | 0.878160 | − | 0.319624i | 0.136693 | − | 0.990613i | \(-0.456353\pi\) |
0.741467 | + | 0.670989i | \(0.234130\pi\) | |||||||
\(510\) | 3.02695 | − | 5.24283i | 0.134036 | − | 0.232157i | ||||
\(511\) | 19.6563 | − | 16.4936i | 0.869545 | − | 0.729635i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | −13.9496 | + | 11.7051i | −0.615889 | + | 0.516792i | ||||
\(514\) | −0.569870 | − | 0.207416i | −0.0251359 | − | 0.00914872i | ||||
\(515\) | 1.06271 | + | 6.02693i | 0.0468286 | + | 0.265578i | ||||
\(516\) | 0.805023 | − | 4.56551i | 0.0354392 | − | 0.200985i | ||||
\(517\) | −22.1854 | −0.975715 | ||||||||
\(518\) | −12.9488 | + | 0.389938i | −0.568936 | + | 0.0171329i | ||||
\(519\) | −5.45602 | −0.239493 | ||||||||
\(520\) | 0.673098 | − | 3.81733i | 0.0295173 | − | 0.167401i | ||||
\(521\) | 5.34652 | + | 30.3216i | 0.234235 | + | 1.32841i | 0.844219 | + | 0.535999i | \(0.180065\pi\) |
−0.609983 | + | 0.792414i | \(0.708824\pi\) | |||||||
\(522\) | 18.7218 | + | 6.81417i | 0.819429 | + | 0.298248i | ||||
\(523\) | 29.8536 | − | 25.0501i | 1.30541 | − | 1.09536i | 0.316221 | − | 0.948686i | \(-0.397586\pi\) |
0.989184 | − | 0.146679i | \(-0.0468586\pi\) | |||||||
\(524\) | 15.4155 | 0.673427 | ||||||||
\(525\) | 1.50696 | − | 1.26449i | 0.0657689 | − | 0.0551867i | ||||
\(526\) | 3.70204 | − | 6.41212i | 0.161417 | − | 0.279582i | ||||
\(527\) | 65.7934 | − | 23.9469i | 2.86601 | − | 1.04314i | ||||
\(528\) | 1.41424 | + | 2.44953i | 0.0615467 | + | 0.106602i | ||||
\(529\) | 11.1185 | − | 19.2577i | 0.483411 | − | 0.837292i | ||||
\(530\) | −2.12372 | + | 12.0442i | −0.0922485 | + | 0.523167i | ||||
\(531\) | −22.6408 | − | 8.24057i | −0.982526 | − | 0.357610i | ||||
\(532\) | −4.07888 | − | 7.06482i | −0.176842 | − | 0.306299i | ||||
\(533\) | 24.4497 | + | 20.5158i | 1.05904 | + | 0.888636i | ||||
\(534\) | 4.79147 | + | 4.02052i | 0.207347 | + | 0.173985i | ||||
\(535\) | −16.2488 | + | 5.91407i | −0.702496 | + | 0.255688i | ||||
\(536\) | 0.298430 | + | 1.69248i | 0.0128902 | + | 0.0731041i | ||||
\(537\) | −0.654458 | − | 3.71161i | −0.0282419 | − | 0.160168i | ||||
\(538\) | 21.2022 | − | 7.71698i | 0.914093 | − | 0.332703i | ||||
\(539\) | 5.78055 | + | 4.85046i | 0.248986 | + | 0.208924i | ||||
\(540\) | −3.64179 | − | 3.05582i | −0.156718 | − | 0.131502i | ||||
\(541\) | 21.2553 | + | 36.8153i | 0.913838 | + | 1.58281i | 0.808594 | + | 0.588367i | \(0.200229\pi\) |
0.105244 | + | 0.994446i | \(0.466438\pi\) | |||||||
\(542\) | 12.9566 | + | 4.71581i | 0.556533 | + | 0.202561i | ||||
\(543\) | −2.50833 | + | 14.2254i | −0.107643 | + | 0.610472i | ||||
\(544\) | 3.27705 | − | 5.67602i | 0.140502 | − | 0.243357i | ||||
\(545\) | 4.24900 | + | 7.35948i | 0.182007 | + | 0.315245i | ||||
\(546\) | −7.16540 | + | 2.60799i | −0.306651 | + | 0.111612i | ||||
\(547\) | −6.29964 | + | 10.9113i | −0.269353 | + | 0.466534i | −0.968695 | − | 0.248254i | \(-0.920143\pi\) |
0.699342 | + | 0.714788i | \(0.253477\pi\) | |||||||
\(548\) | 0.0301727 | − | 0.0253179i | 0.00128891 | − | 0.00108153i | ||||
\(549\) | −27.3553 | −1.16749 | ||||||||
\(550\) | 2.34576 | − | 1.96833i | 0.100024 | − | 0.0839298i | ||||
\(551\) | 33.4040 | + | 12.1581i | 1.42306 | + | 0.517951i | ||||
\(552\) | 0.140114 | + | 0.794627i | 0.00596366 | + | 0.0338216i | ||||
\(553\) | 1.63937 | − | 9.29733i | 0.0697131 | − | 0.395363i | ||||
\(554\) | −4.92251 | −0.209137 | ||||||||
\(555\) | −5.21946 | + | 2.07970i | −0.221554 | + | 0.0882784i | ||||
\(556\) | 10.3864 | 0.440481 | ||||||||
\(557\) | −3.96064 | + | 22.4619i | −0.167818 | + | 0.951740i | 0.778294 | + | 0.627900i | \(0.216085\pi\) |
−0.946112 | + | 0.323841i | \(0.895026\pi\) | |||||||
\(558\) | −3.98243 | − | 22.5855i | −0.168590 | − | 0.956119i | ||||
\(559\) | 18.2814 | + | 6.65389i | 0.773221 | + | 0.281430i | ||||
\(560\) | 1.63147 | − | 1.36896i | 0.0689421 | − | 0.0578493i | ||||
\(561\) | −18.5381 | −0.782679 | ||||||||
\(562\) | −11.5237 | + | 9.66955i | −0.486099 | + | 0.407885i | ||||
\(563\) | −10.4108 | + | 18.0320i | −0.438763 | + | 0.759959i | −0.997594 | − | 0.0693217i | \(-0.977917\pi\) |
0.558832 | + | 0.829281i | \(0.311250\pi\) | |||||||
\(564\) | −6.28849 | + | 2.28882i | −0.264793 | + | 0.0963768i | ||||
\(565\) | −2.86829 | − | 4.96802i | −0.120670 | − | 0.209006i | ||||
\(566\) | 7.61785 | − | 13.1945i | 0.320202 | − | 0.554606i | ||||
\(567\) | 0.757858 | − | 4.29803i | 0.0318271 | − | 0.180500i | ||||
\(568\) | 0.294531 | + | 0.107200i | 0.0123582 | + | 0.00449803i | ||||
\(569\) | −4.47226 | − | 7.74617i | −0.187487 | − | 0.324736i | 0.756925 | − | 0.653502i | \(-0.226701\pi\) |
−0.944412 | + | 0.328765i | \(0.893367\pi\) | |||||||
\(570\) | −2.71033 | − | 2.27424i | −0.113523 | − | 0.0952574i | ||||
\(571\) | 17.4743 | + | 14.6627i | 0.731276 | + | 0.613613i | 0.930479 | − | 0.366345i | \(-0.119391\pi\) |
−0.199203 | + | 0.979958i | \(0.563835\pi\) | |||||||
\(572\) | −11.1538 | + | 4.05966i | −0.466365 | + | 0.169743i | ||||
\(573\) | 2.50217 | + | 14.1905i | 0.104530 | + | 0.592817i | ||||
\(574\) | 3.04514 | + | 17.2698i | 0.127101 | + | 0.720828i | ||||
\(575\) | 0.820873 | − | 0.298773i | 0.0342328 | − | 0.0124597i | ||||
\(576\) | −1.64455 | − | 1.37994i | −0.0685231 | − | 0.0574977i | ||||
\(577\) | 3.43183 | + | 2.87965i | 0.142869 | + | 0.119881i | 0.711421 | − | 0.702766i | \(-0.248052\pi\) |
−0.568552 | + | 0.822647i | \(0.692496\pi\) | |||||||
\(578\) | 12.9781 | + | 22.4788i | 0.539819 | + | 0.934993i | ||||
\(579\) | −7.37617 | − | 2.68471i | −0.306543 | − | 0.111573i | ||||
\(580\) | −1.61153 | + | 9.13941i | −0.0669149 | + | 0.379493i | ||||
\(581\) | −13.6400 | + | 23.6252i | −0.565883 | + | 0.980139i | ||||
\(582\) | −2.07229 | − | 3.58930i | −0.0858990 | − | 0.148781i | ||||
\(583\) | 35.1919 | − | 12.8088i | 1.45750 | − | 0.530487i | ||||
\(584\) | 6.02413 | − | 10.4341i | 0.249280 | − | 0.431766i | ||||
\(585\) | 6.37465 | − | 5.34896i | 0.263559 | − | 0.221152i | ||||
\(586\) | 30.4492 | 1.25785 | ||||||||
\(587\) | −4.69844 | + | 3.94246i | −0.193926 | + | 0.162723i | −0.734580 | − | 0.678522i | \(-0.762621\pi\) |
0.540655 | + | 0.841245i | \(0.318177\pi\) | |||||||
\(588\) | 2.13891 | + | 0.778501i | 0.0882074 | + | 0.0321049i | ||||
\(589\) | −7.10559 | − | 40.2978i | −0.292781 | − | 1.66044i | ||||
\(590\) | 1.94886 | − | 11.0526i | 0.0802335 | − | 0.455027i | ||||
\(591\) | 7.36006 | 0.302752 | ||||||||
\(592\) | −5.65072 | + | 2.25154i | −0.232243 | + | 0.0925375i | ||||
\(593\) | −2.46570 | −0.101254 | −0.0506271 | − | 0.998718i | \(-0.516122\pi\) | ||||
−0.0506271 | + | 0.998718i | \(0.516122\pi\) | |||||||
\(594\) | −2.52790 | + | 14.3365i | −0.103721 | + | 0.588232i | ||||
\(595\) | 2.42386 | + | 13.7464i | 0.0993686 | + | 0.563547i | ||||
\(596\) | −9.70365 | − | 3.53184i | −0.397477 | − | 0.144670i | ||||
\(597\) | −8.50574 | + | 7.13716i | −0.348117 | + | 0.292105i | ||||
\(598\) | −3.38609 | −0.138467 | ||||||||
\(599\) | 16.0492 | − | 13.4669i | 0.655752 | − | 0.550241i | −0.253058 | − | 0.967451i | \(-0.581436\pi\) |
0.908810 | + | 0.417210i | \(0.136992\pi\) | |||||||
\(600\) | 0.461841 | − | 0.799932i | 0.0188546 | − | 0.0326571i | ||||
\(601\) | −21.2968 | + | 7.75139i | −0.868713 | + | 0.316186i | −0.737646 | − | 0.675188i | \(-0.764063\pi\) |
−0.131067 | + | 0.991373i | \(0.541840\pi\) | |||||||
\(602\) | 5.34454 | + | 9.25701i | 0.217827 | + | 0.377288i | ||||
\(603\) | −1.84475 | + | 3.19520i | −0.0751239 | + | 0.130118i | ||||
\(604\) | 0.264689 | − | 1.50113i | 0.0107701 | − | 0.0610800i | ||||
\(605\) | 1.52521 | + | 0.555129i | 0.0620084 | + | 0.0225692i | ||||
\(606\) | 9.16759 | + | 15.8787i | 0.372408 | + | 0.645029i | ||||
\(607\) | −6.52365 | − | 5.47399i | −0.264787 | − | 0.222183i | 0.500722 | − | 0.865608i | \(-0.333068\pi\) |
−0.765508 | + | 0.643426i | \(0.777512\pi\) | |||||||
\(608\) | −2.93427 | − | 2.46215i | −0.119000 | − | 0.0998532i | ||||
\(609\) | 17.1553 | − | 6.24403i | 0.695169 | − | 0.253021i | ||||
\(610\) | −2.21267 | − | 12.5487i | −0.0895885 | − | 0.508082i | ||||
\(611\) | −4.87659 | − | 27.6565i | −0.197286 | − | 1.11886i | ||||
\(612\) | 13.2219 | − | 4.81237i | 0.534463 | − | 0.194529i | ||||
\(613\) | −16.8463 | − | 14.1357i | −0.680414 | − | 0.570935i | 0.235713 | − | 0.971823i | \(-0.424257\pi\) |
−0.916127 | + | 0.400888i | \(0.868702\pi\) | |||||||
\(614\) | 4.30752 | + | 3.61444i | 0.173837 | + | 0.145867i | ||||
\(615\) | 3.80281 | + | 6.58665i | 0.153344 | + | 0.265600i | ||||
\(616\) | −6.12830 | − | 2.23052i | −0.246916 | − | 0.0898702i | ||||
\(617\) | 6.85567 | − | 38.8804i | 0.275999 | − | 1.56527i | −0.459772 | − | 0.888037i | \(-0.652069\pi\) |
0.735771 | − | 0.677230i | \(-0.236820\pi\) | |||||||
\(618\) | 2.82642 | − | 4.89551i | 0.113695 | − | 0.196926i | ||||
\(619\) | 8.48317 | + | 14.6933i | 0.340967 | + | 0.590573i | 0.984613 | − | 0.174751i | \(-0.0559121\pi\) |
−0.643645 | + | 0.765324i | \(0.722579\pi\) | |||||||
\(620\) | 10.0385 | − | 3.65372i | 0.403156 | − | 0.146737i | ||||
\(621\) | −2.07645 | + | 3.59651i | −0.0833249 | + | 0.144323i | ||||
\(622\) | 3.24387 | − | 2.72193i | 0.130068 | − | 0.109140i | ||||
\(623\) | −14.4217 | −0.577794 | ||||||||
\(624\) | −2.74274 | + | 2.30143i | −0.109797 | + | 0.0921309i | ||||
\(625\) | −0.939693 | − | 0.342020i | −0.0375877 | − | 0.0136808i | ||||
\(626\) | −3.27762 | − | 18.5883i | −0.131000 | − | 0.742939i | ||||
\(627\) | −1.88135 | + | 10.6696i | −0.0751337 | + | 0.426104i | ||||
\(628\) | 4.55827 | 0.181895 | ||||||||
\(629\) | 5.73793 | − | 39.4520i | 0.228786 | − | 1.57305i | ||||
\(630\) | 4.57213 | 0.182158 | ||||||||
\(631\) | −7.64545 | + | 43.3595i | −0.304360 | + | 1.72611i | 0.322139 | + | 0.946692i | \(0.395598\pi\) |
−0.626500 | + | 0.779422i | \(0.715513\pi\) | |||||||
\(632\) | −0.769755 | − | 4.36550i | −0.0306192 | − | 0.173650i | ||||
\(633\) | −12.1407 | − | 4.41887i | −0.482551 | − | 0.175634i | ||||
\(634\) | −20.1007 | + | 16.8665i | −0.798299 | + | 0.669853i | ||||
\(635\) | −2.72687 | −0.108212 | ||||||||
\(636\) | 8.65373 | − | 7.26134i | 0.343143 | − | 0.287931i | ||||
\(637\) | −4.77599 | + | 8.27226i | −0.189232 | + | 0.327759i | ||||
\(638\) | 26.7044 | − | 9.71960i | 1.05724 | − | 0.384803i | ||||
\(639\) | 0.336441 | + | 0.582733i | 0.0133094 | + | 0.0230526i | ||||
\(640\) | 0.500000 | − | 0.866025i | 0.0197642 | − | 0.0342327i | ||||
\(641\) | 0.0130284 | − | 0.0738877i | 0.000514591 | − | 0.00291839i | −0.984549 | − | 0.175107i | \(-0.943973\pi\) |
0.985064 | + | 0.172189i | \(0.0550839\pi\) | |||||||
\(642\) | 15.0087 | + | 5.46272i | 0.592346 | + | 0.215596i | ||||
\(643\) | 8.83474 | + | 15.3022i | 0.348408 | + | 0.603460i | 0.985967 | − | 0.166941i | \(-0.0533891\pi\) |
−0.637559 | + | 0.770402i | \(0.720056\pi\) | |||||||
\(644\) | −1.42518 | − | 1.19586i | −0.0561598 | − | 0.0471236i | ||||
\(645\) | 3.55134 | + | 2.97993i | 0.139834 | + | 0.117334i | ||||
\(646\) | 23.5909 | − | 8.58640i | 0.928173 | − | 0.337827i | ||||
\(647\) | −4.02704 | − | 22.8385i | −0.158319 | − | 0.897874i | −0.955688 | − | 0.294381i | \(-0.904886\pi\) |
0.797369 | − | 0.603492i | \(-0.206225\pi\) | |||||||
\(648\) | −0.355847 | − | 2.01811i | −0.0139790 | − | 0.0792789i | ||||
\(649\) | −32.2944 | + | 11.7542i | −1.26767 | + | 0.461393i | ||||
\(650\) | 2.96935 | + | 2.49158i | 0.116468 | + | 0.0977280i | ||||
\(651\) | −16.0985 | − | 13.5082i | −0.630948 | − | 0.529428i | ||||
\(652\) | 6.03636 | + | 10.4553i | 0.236402 | + | 0.409460i | ||||
\(653\) | −20.9020 | − | 7.60769i | −0.817957 | − | 0.297712i | −0.101051 | − | 0.994881i | \(-0.532220\pi\) |
−0.716907 | + | 0.697169i | \(0.754443\pi\) | |||||||
\(654\) | 1.36304 | − | 7.73019i | 0.0532991 | − | 0.302274i | ||||
\(655\) | −7.70773 | + | 13.3502i | −0.301166 | + | 0.521635i | ||||
\(656\) | 4.11701 | + | 7.13087i | 0.160742 | + | 0.278414i | ||||
\(657\) | 24.3055 | − | 8.84647i | 0.948247 | − | 0.345134i | ||||
\(658\) | 7.71494 | − | 13.3627i | 0.300760 | − | 0.520931i | ||||
\(659\) | 14.8397 | − | 12.4520i | 0.578071 | − | 0.485059i | −0.306242 | − | 0.951954i | \(-0.599072\pi\) |
0.884313 | + | 0.466894i | \(0.154627\pi\) | |||||||
\(660\) | −2.82847 | −0.110098 | ||||||||
\(661\) | −13.3026 | + | 11.1622i | −0.517413 | + | 0.434161i | −0.863729 | − | 0.503957i | \(-0.831877\pi\) |
0.346316 | + | 0.938118i | \(0.387433\pi\) | |||||||
\(662\) | 6.37982 | + | 2.32207i | 0.247959 | + | 0.0902496i | ||||
\(663\) | −4.07487 | − | 23.1097i | −0.158255 | − | 0.897508i | ||||
\(664\) | −2.22429 | + | 12.6146i | −0.0863191 | + | 0.489540i | ||||
\(665\) | 8.15776 | 0.316344 | ||||||||
\(666\) | −12.3999 | − | 4.09490i | −0.480486 | − | 0.158674i | ||||
\(667\) | 8.10694 | 0.313902 | ||||||||
\(668\) | 1.94006 | − | 11.0026i | 0.0750630 | − | 0.425704i | ||||
\(669\) | 3.45619 | + | 19.6010i | 0.133624 | + | 0.757820i | ||||
\(670\) | −1.61495 | − | 0.587793i | −0.0623909 | − | 0.0227084i | ||||
\(671\) | −29.8903 | + | 25.0810i | −1.15390 | + | 0.968240i | ||||
\(672\) | −1.96719 | −0.0758860 | ||||||||
\(673\) | −12.3302 | + | 10.3463i | −0.475294 | + | 0.398819i | −0.848721 | − | 0.528840i | \(-0.822627\pi\) |
0.373427 | + | 0.927660i | \(0.378183\pi\) | |||||||
\(674\) | 4.99978 | − | 8.65987i | 0.192584 | − | 0.333566i | ||||
\(675\) | 4.46731 | − | 1.62597i | 0.171947 | − | 0.0625836i | ||||
\(676\) | −1.01253 | − | 1.75375i | −0.0389434 | − | 0.0674520i | ||||
\(677\) | −3.62604 | + | 6.28049i | −0.139360 | + | 0.241379i | −0.927255 | − | 0.374432i | \(-0.877838\pi\) |
0.787894 | + | 0.615810i | \(0.211171\pi\) | |||||||
\(678\) | −0.920122 | + | 5.21827i | −0.0353371 | + | 0.200406i | ||||
\(679\) | 8.97982 | + | 3.26839i | 0.344614 | + | 0.125429i | ||||
\(680\) | 3.27705 | + | 5.67602i | 0.125669 | + | 0.217665i | ||||
\(681\) | −7.20211 | − | 6.04328i | −0.275985 | − | 0.231579i | ||||
\(682\) | −25.0592 | − | 21.0272i | −0.959567 | − | 0.805172i | ||||
\(683\) | 19.5820 | − | 7.12728i | 0.749286 | − | 0.272718i | 0.0609808 | − | 0.998139i | \(-0.480577\pi\) |
0.688305 | + | 0.725421i | \(0.258355\pi\) | |||||||
\(684\) | −1.42794 | − | 8.09826i | −0.0545987 | − | 0.309645i | ||||
\(685\) | 0.00683960 | + | 0.0387893i | 0.000261328 | + | 0.00148206i | ||||
\(686\) | −18.9407 | + | 6.89386i | −0.723160 | + | 0.263209i | ||||
\(687\) | 2.45315 | + | 2.05844i | 0.0935937 | + | 0.0785344i | ||||
\(688\) | 3.84476 | + | 3.22614i | 0.146580 | + | 0.122995i | ||||
\(689\) | 23.7031 | + | 41.0550i | 0.903016 | + | 1.56407i | ||||
\(690\) | −0.758225 | − | 0.275971i | −0.0288651 | − | 0.0105060i | ||||
\(691\) | −0.200577 | + | 1.13753i | −0.00763031 | + | 0.0432737i | −0.988385 | − | 0.151969i | \(-0.951438\pi\) |
0.980755 | + | 0.195243i | \(0.0625496\pi\) | |||||||
\(692\) | 2.95341 | − | 5.11546i | 0.112272 | − | 0.194461i | ||||
\(693\) | −7.00033 | − | 12.1249i | −0.265920 | − | 0.460588i | ||||
\(694\) | −7.96908 | + | 2.90051i | −0.302502 | + | 0.110102i | ||||
\(695\) | −5.19320 | + | 8.99488i | −0.196989 | + | 0.341195i | ||||
\(696\) | 6.56664 | − | 5.51006i | 0.248908 | − | 0.208858i | ||||
\(697\) | −53.9666 | −2.04413 | ||||||||
\(698\) | −10.2298 | + | 8.58382i | −0.387203 | + | 0.324902i | ||||
\(699\) | −18.0023 | − | 6.55229i | −0.680908 | − | 0.247830i | ||||
\(700\) | 0.369824 | + | 2.09737i | 0.0139780 | + | 0.0792733i | ||||
\(701\) | 7.02791 | − | 39.8573i | 0.265440 | − | 1.50539i | −0.502338 | − | 0.864672i | \(-0.667527\pi\) |
0.767778 | − | 0.640716i | \(-0.221362\pi\) | |||||||
\(702\) | −18.4276 | −0.695505 | ||||||||
\(703\) | −22.1243 | − | 7.30627i | −0.834435 | − | 0.275561i | ||||
\(704\) | −3.06217 | −0.115410 | ||||||||
\(705\) | 1.16207 | − | 6.59040i | 0.0437659 | − | 0.248209i | ||||
\(706\) | −2.67544 | − | 15.1732i | −0.100691 | − | 0.571049i | ||||
\(707\) | −39.7259 | − | 14.4590i | −1.49404 | − | 0.543788i | ||||
\(708\) | −7.94123 | + | 6.66348i | −0.298450 | + | 0.250429i | ||||
\(709\) | 14.9087 | 0.559907 | 0.279954 | − | 0.960014i | \(-0.409681\pi\) | ||||
0.279954 | + | 0.960014i | \(0.409681\pi\) | |||||||
\(710\) | −0.240104 | + | 0.201471i | −0.00901093 | + | 0.00756107i | ||||
\(711\) | 4.75824 | − | 8.24152i | 0.178448 | − | 0.309081i | ||||
\(712\) | −6.36324 | + | 2.31603i | −0.238473 | + | 0.0867969i | ||||
\(713\) | −4.66599 | − | 8.08173i | −0.174743 | − | 0.302663i | ||||
\(714\) | 6.44658 | − | 11.1658i | 0.241257 | − | 0.417870i | ||||
\(715\) | 2.06114 | − | 11.6893i | 0.0770824 | − | 0.437156i | ||||
\(716\) | 3.83420 | + | 1.39554i | 0.143291 | + | 0.0521536i | ||||
\(717\) | −2.05404 | − | 3.55771i | −0.0767096 | − | 0.132865i | ||||
\(718\) | −2.53261 | − | 2.12511i | −0.0945161 | − | 0.0793084i | ||||
\(719\) | 11.9938 | + | 10.0640i | 0.447295 | + | 0.375325i | 0.838431 | − | 0.545008i | \(-0.183473\pi\) |
−0.391136 | + | 0.920333i | \(0.627918\pi\) | |||||||
\(720\) | 2.01734 | − | 0.734253i | 0.0751820 | − | 0.0273640i | ||||
\(721\) | 2.26329 | + | 12.8357i | 0.0842892 | + | 0.478028i | ||||
\(722\) | 0.751529 | + | 4.26214i | 0.0279690 | + | 0.158620i | ||||
\(723\) | 3.12780 | − | 1.13843i | 0.116324 | − | 0.0423386i | ||||
\(724\) | −11.9797 | − | 10.0522i | −0.445222 | − | 0.373585i | ||||
\(725\) | −7.10920 | − | 5.96533i | −0.264029 | − | 0.221547i | ||||
\(726\) | −0.749609 | − | 1.29836i | −0.0278206 | − | 0.0481867i | ||||
\(727\) | 30.1820 | + | 10.9853i | 1.11939 | + | 0.407424i | 0.834429 | − | 0.551116i | \(-0.185798\pi\) |
0.284959 | + | 0.958540i | \(0.408020\pi\) | |||||||
\(728\) | 1.43352 | − | 8.12988i | 0.0531297 | − | 0.301313i | ||||
\(729\) | −4.38712 | + | 7.59872i | −0.162486 | + | 0.281434i | ||||
\(730\) | 6.02413 | + | 10.4341i | 0.222963 | + | 0.386183i | ||||
\(731\) | −30.9111 | + | 11.2507i | −1.14329 | + | 0.416123i | ||||
\(732\) | −5.88490 | + | 10.1929i | −0.217512 | + | 0.376742i | ||||
\(733\) | 12.3602 | − | 10.3715i | 0.456535 | − | 0.383079i | −0.385319 | − | 0.922783i | \(-0.625909\pi\) |
0.841854 | + | 0.539705i | \(0.181464\pi\) | |||||||
\(734\) | 32.3322 | 1.19340 | ||||||||
\(735\) | −1.74366 | + | 1.46310i | −0.0643158 | + | 0.0539674i | ||||
\(736\) | −0.820873 | − | 0.298773i | −0.0302578 | − | 0.0110129i | ||||
\(737\) | 0.913846 | + | 5.18268i | 0.0336619 | + | 0.190906i | ||||
\(738\) | −3.06956 | + | 17.4084i | −0.112992 | + | 0.640810i | ||||
\(739\) | −39.6173 | −1.45735 | −0.728673 | − | 0.684862i | \(-0.759863\pi\) | ||||
−0.728673 | + | 0.684862i | \(0.759863\pi\) | |||||||
\(740\) | 0.875471 | − | 6.01943i | 0.0321830 | − | 0.221279i | ||||
\(741\) | −13.7144 | −0.503811 | ||||||||
\(742\) | −4.52295 | + | 25.6509i | −0.166043 | + | 0.941675i | ||||
\(743\) | 3.54693 | + | 20.1156i | 0.130124 | + | 0.737971i | 0.978132 | + | 0.207987i | \(0.0666911\pi\) |
−0.848007 | + | 0.529984i | \(0.822198\pi\) | |||||||
\(744\) | −9.27239 | − | 3.37487i | −0.339942 | − | 0.123729i | ||||
\(745\) | 7.91049 | − | 6.63769i | 0.289818 | − | 0.243186i | ||||
\(746\) | 11.7895 | 0.431643 | ||||||||
\(747\) | −21.0654 | + | 17.6759i | −0.770741 | + | 0.646728i | ||||
\(748\) | 10.0349 | − | 17.3810i | 0.366912 | − | 0.635511i | ||||
\(749\) | −34.6055 | + | 12.5954i | −1.26446 | + | 0.460225i | ||||
\(750\) | 0.461841 | + | 0.799932i | 0.0168640 | + | 0.0292094i | ||||
\(751\) | −8.85260 | + | 15.3332i | −0.323036 | + | 0.559515i | −0.981113 | − | 0.193436i | \(-0.938037\pi\) |
0.658077 | + | 0.752951i | \(0.271370\pi\) | |||||||
\(752\) | 1.25808 | − | 7.13493i | 0.0458775 | − | 0.260184i | ||||
\(753\) | 26.1546 | + | 9.51951i | 0.953128 | + | 0.346910i | ||||
\(754\) | 17.9864 | + | 31.1534i | 0.655027 | + | 1.13454i | ||||
\(755\) | 1.16767 | + | 0.979791i | 0.0424959 | + | 0.0356583i | ||||
\(756\) | −7.75602 | − | 6.50807i | −0.282084 | − | 0.236696i | ||||
\(757\) | −22.4442 | + | 8.16901i | −0.815747 | + | 0.296908i | −0.715996 | − | 0.698105i | \(-0.754027\pi\) |
−0.0997513 | + | 0.995012i | \(0.531805\pi\) | |||||||
\(758\) | 2.55079 | + | 14.4663i | 0.0926489 | + | 0.525438i | ||||
\(759\) | 0.429054 | + | 2.43329i | 0.0155737 | + | 0.0883227i | ||||
\(760\) | 3.59942 | − | 1.31008i | 0.130565 | − | 0.0475216i | ||||
\(761\) | 15.6932 | + | 13.1682i | 0.568879 | + | 0.477346i | 0.881274 | − | 0.472606i | \(-0.156687\pi\) |
−0.312395 | + | 0.949952i | \(0.601131\pi\) | |||||||
\(762\) | 1.92948 | + | 1.61903i | 0.0698977 | + | 0.0586511i | ||||
\(763\) | 9.04921 | + | 15.6737i | 0.327603 | + | 0.567426i | ||||
\(764\) | −14.6592 | − | 5.33551i | −0.530351 | − | 0.193032i | ||||
\(765\) | −2.44330 | + | 13.8567i | −0.0883378 | + | 0.500989i | ||||
\(766\) | −1.58227 | + | 2.74057i | −0.0571696 | + | 0.0990207i | ||||
\(767\) | −21.7515 | − | 37.6747i | −0.785402 | − | 1.36036i | ||||
\(768\) | −0.867977 | + | 0.315918i | −0.0313204 | + | 0.0113997i | ||||
\(769\) | −0.911373 | + | 1.57854i | −0.0328650 | + | 0.0569238i | −0.881990 | − | 0.471268i | \(-0.843796\pi\) |
0.849125 | + | 0.528192i | \(0.177130\pi\) | |||||||
\(770\) | 4.99584 | − | 4.19200i | 0.180037 | − | 0.151069i | ||||
\(771\) | −0.560160 | −0.0201737 | ||||||||
\(772\) | 6.50994 | − | 5.46249i | 0.234298 | − | 0.196599i | ||||
\(773\) | 15.9821 | + | 5.81701i | 0.574836 | + | 0.209223i | 0.613047 | − | 0.790046i | \(-0.289944\pi\) |
−0.0382108 | + | 0.999270i | \(0.512166\pi\) | |||||||
\(774\) | 1.87103 | + | 10.6111i | 0.0672527 | + | 0.381409i | ||||
\(775\) | −1.85504 | + | 10.5205i | −0.0666351 | + | 0.377906i | ||||
\(776\) | 4.48701 | 0.161074 | ||||||||
\(777\) | −11.1160 | + | 4.42920i | −0.398786 | + | 0.158897i | ||||
\(778\) | 15.1637 | 0.543644 | ||||||||
\(779\) | −5.47682 | + | 31.0606i | −0.196227 | + | 1.11286i | ||||
\(780\) | −0.621728 | − | 3.52600i | −0.0222614 | − | 0.126251i | ||||
\(781\) | 0.901905 | + | 0.328266i | 0.0322727 | + | 0.0117463i | ||||
\(782\) | 4.38588 | − | 3.68019i | 0.156839 | − | 0.131603i | ||||
\(783\) | 44.1192 | 1.57669 | ||||||||
\(784\) | −1.88773 | + | 1.58399i | −0.0674189 | + | 0.0565711i | ||||
\(785\) | −2.27913 | + | 3.94758i | −0.0813458 | + | 0.140895i | ||||
\(786\) | 13.3803 | − | 4.87001i | 0.477258 | − | 0.173708i | ||||
\(787\) | −26.8079 | − | 46.4327i | −0.955599 | − | 1.65515i | −0.732992 | − | 0.680237i | \(-0.761877\pi\) |
−0.222606 | − | 0.974908i | \(-0.571456\pi\) | |||||||
\(788\) | −3.98409 | + | 6.90064i | −0.141927 | + | 0.245825i | ||||
\(789\) | 1.18758 | − | 6.73511i | 0.0422790 | − | 0.239776i | ||||
\(790\) | 4.16551 | + | 1.51612i | 0.148202 | + | 0.0539412i | ||||
\(791\) | −6.10868 | − | 10.5805i | −0.217200 | − | 0.376201i | ||||
\(792\) | −5.03591 | − | 4.22563i | −0.178943 | − | 0.150151i | ||||
\(793\) | −37.8363 | − | 31.7484i | −1.34361 | − | 1.12742i | ||||
\(794\) | −7.83476 | + | 2.85162i | −0.278045 | + | 0.101200i | ||||
\(795\) | 1.96164 | + | 11.1250i | 0.0695722 | + | 0.394564i | ||||
\(796\) | −2.08740 | − | 11.8382i | −0.0739860 | − | 0.419595i | ||||
\(797\) | −10.9914 | + | 4.00054i | −0.389335 | + | 0.141706i | −0.529268 | − | 0.848455i | \(-0.677533\pi\) |
0.139933 | + | 0.990161i | \(0.455311\pi\) | |||||||
\(798\) | −5.77227 | − | 4.84351i | −0.204336 | − | 0.171458i | ||||
\(799\) | 36.3752 | + | 30.5224i | 1.28686 | + | 1.07981i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | −13.6607 | − | 4.97209i | −0.482677 | − | 0.175680i | ||||
\(802\) | −1.89628 | + | 10.7544i | −0.0669601 | + | 0.379750i | ||||
\(803\) | 18.4469 | − | 31.9510i | 0.650978 | − | 1.12753i | ||||
\(804\) | 0.793716 | + | 1.37476i | 0.0279922 | + | 0.0484839i | ||||
\(805\) | 1.74824 | − | 0.636306i | 0.0616172 | − | 0.0224268i | ||||
\(806\) | 20.7044 | − | 35.8610i | 0.729280 | − | 1.26315i | ||||
\(807\) | 15.9651 | − | 13.3963i | 0.561999 | − | 0.471573i | ||||
\(808\) | −19.8501 | −0.698325 | ||||||||
\(809\) | −11.9322 | + | 10.0123i | −0.419512 | + | 0.352013i | −0.827978 | − | 0.560761i | \(-0.810509\pi\) |
0.408465 | + | 0.912774i | \(0.366064\pi\) | |||||||
\(810\) | 1.92566 | + | 0.700882i | 0.0676608 | + | 0.0246265i | ||||
\(811\) | −7.75632 | − | 43.9883i | −0.272361 | − | 1.54464i | −0.747221 | − | 0.664576i | \(-0.768612\pi\) |
0.474859 | − | 0.880062i | \(-0.342499\pi\) | |||||||
\(812\) | −3.43211 | + | 19.4645i | −0.120444 | + | 0.683069i | ||||
\(813\) | 12.7358 | 0.446665 | ||||||||
\(814\) | −17.3035 | + | 6.89459i | −0.606487 | + | 0.241655i | ||||
\(815\) | −12.0727 | −0.422889 | ||||||||
\(816\) | 1.05125 | − | 5.96193i | 0.0368011 | − | 0.208709i | ||||
\(817\) | 3.33835 | + | 18.9327i | 0.116794 | + | 0.662373i | ||||
\(818\) | −11.0061 | − | 4.00590i | −0.384820 | − | 0.140063i | ||||
\(819\) | 13.5763 | − | 11.3918i | 0.474393 | − | 0.398063i | ||||
\(820\) | −8.23402 | −0.287545 | ||||||||
\(821\) | −22.4414 | + | 18.8306i | −0.783211 | + | 0.657192i | −0.944055 | − | 0.329788i | \(-0.893023\pi\) |
0.160844 | + | 0.986980i | \(0.448578\pi\) | |||||||
\(822\) | 0.0181908 | − | 0.0315074i | 0.000634478 | − | 0.00109895i | ||||
\(823\) | 26.3968 | − | 9.60763i | 0.920133 | − | 0.334901i | 0.161842 | − | 0.986817i | \(-0.448257\pi\) |
0.758291 | + | 0.651916i | \(0.226034\pi\) | |||||||
\(824\) | 3.05995 | + | 5.30000i | 0.106599 | + | 0.184634i | ||||
\(825\) | 1.41424 | − | 2.44953i | 0.0492374 | − | 0.0852817i | ||||
\(826\) | 4.15055 | − | 23.5390i | 0.144416 | − | 0.819025i | ||||
\(827\) | −13.4643 | − | 4.90061i | −0.468200 | − | 0.170411i | 0.0971367 | − | 0.995271i | \(-0.469032\pi\) |
−0.565337 | + | 0.824860i | \(0.691254\pi\) | |||||||
\(828\) | −0.937679 | − | 1.62411i | −0.0325866 | − | 0.0564416i | ||||
\(829\) | −16.7473 | − | 14.0527i | −0.581659 | − | 0.488070i | 0.303832 | − | 0.952725i | \(-0.401734\pi\) |
−0.885491 | + | 0.464656i | \(0.846178\pi\) | |||||||
\(830\) | −9.81238 | − | 8.23357i | −0.340593 | − | 0.285791i | ||||
\(831\) | −4.27262 | + | 1.55511i | −0.148216 | + | 0.0539461i | ||||
\(832\) | −0.673098 | − | 3.81733i | −0.0233355 | − | 0.132342i | ||||
\(833\) | −2.80459 | − | 15.9056i | −0.0971732 | − | 0.551096i | ||||
\(834\) | 9.01515 | − | 3.28125i | 0.312169 | − | 0.113620i | ||||
\(835\) | 8.55851 | + | 7.18144i | 0.296179 | + | 0.248524i | ||||
\(836\) | −8.98525 | − | 7.53952i | −0.310761 | − | 0.260760i | ||||
\(837\) | −25.3930 | − | 43.9820i | −0.877711 | − | 1.52024i | ||||
\(838\) | −30.5127 | − | 11.1057i | −1.05405 | − | 0.383641i | ||||
\(839\) | 3.68712 | − | 20.9107i | 0.127293 | − | 0.721917i | −0.852626 | − | 0.522522i | \(-0.824991\pi\) |
0.979919 | − | 0.199395i | \(-0.0638976\pi\) | |||||||
\(840\) | 0.983596 | − | 1.70364i | 0.0339373 | − | 0.0587811i | ||||
\(841\) | −28.5629 | − | 49.4725i | −0.984929 | − | 1.70595i | ||||
\(842\) | 4.26930 | − | 1.55390i | 0.147130 | − | 0.0535509i | ||||
\(843\) | −6.94754 | + | 12.0335i | −0.239286 | + | 0.414455i | ||||
\(844\) | 10.7150 | − | 8.99093i | 0.368824 | − | 0.309480i | ||||
\(845\) | 2.02506 | 0.0696641 | ||||||||
\(846\) | 11.9148 | − | 9.99770i | 0.409639 | − | 0.343728i | ||||
\(847\) | 3.24827 | + | 1.18227i | 0.111612 | + | 0.0406234i | ||||
\(848\) | 2.12372 | + | 12.0442i | 0.0729289 | + | 0.413600i | ||||
\(849\) | 2.44374 | − | 13.8591i | 0.0838689 | − | 0.475644i | ||||
\(850\) | −6.55410 | −0.224804 | ||||||||
\(851\) | −5.31122 | + | 0.159941i | −0.182066 | + | 0.00548272i | ||||
\(852\) | 0.289512 | 0.00991853 | ||||||||
\(853\) | −2.47107 | + | 14.0141i | −0.0846078 | + | 0.479834i | 0.912833 | + | 0.408334i | \(0.133890\pi\) |
−0.997441 | + | 0.0715009i | \(0.977221\pi\) | |||||||
\(854\) | −4.71239 | − | 26.7253i | −0.161255 | − | 0.914521i | ||||
\(855\) | 7.72727 | + | 2.81250i | 0.264267 | + | 0.0961854i | ||||
\(856\) | −13.2461 | + | 11.1148i | −0.452743 | + | 0.379897i | ||||
\(857\) | 43.2370 | 1.47695 | 0.738474 | − | 0.674282i | \(-0.235547\pi\) | ||||
0.738474 | + | 0.674282i | \(0.235547\pi\) | |||||||
\(858\) | −8.39874 | + | 7.04738i | −0.286728 | + | 0.240594i | ||||
\(859\) | 3.18907 | − | 5.52363i | 0.108810 | − | 0.188464i | −0.806479 | − | 0.591263i | \(-0.798629\pi\) |
0.915288 | + | 0.402799i | \(0.131963\pi\) | |||||||
\(860\) | −4.71630 | + | 1.71659i | −0.160825 | + | 0.0585354i | ||||
\(861\) | 8.09895 | + | 14.0278i | 0.276011 | + | 0.478066i | ||||
\(862\) | −11.8729 | + | 20.5644i | −0.404392 | + | 0.700427i | ||||
\(863\) | 5.53708 | − | 31.4024i | 0.188485 | − | 1.06895i | −0.732911 | − | 0.680324i | \(-0.761839\pi\) |
0.921396 | − | 0.388625i | \(-0.127050\pi\) | |||||||
\(864\) | −4.46731 | − | 1.62597i | −0.151981 | − | 0.0553166i | ||||
\(865\) | 2.95341 | + | 5.11546i | 0.100419 | + | 0.173931i | ||||
\(866\) | −4.36636 | − | 3.66381i | −0.148375 | − | 0.124501i | ||||
\(867\) | 18.3661 | + | 15.4110i | 0.623747 | + | 0.523386i | ||||
\(868\) | 21.3793 | − | 7.78143i | 0.725661 | − | 0.264119i | ||||
\(869\) | −2.35712 | − | 13.3679i | −0.0799600 | − | 0.453476i | ||||
\(870\) | 1.48854 | + | 8.44190i | 0.0504661 | + | 0.286207i | ||||
\(871\) | −6.25989 | + | 2.27841i | −0.212108 | + | 0.0772011i | ||||
\(872\) | 6.50984 | + | 5.46240i | 0.220451 | + | 0.184980i | ||||
\(873\) | 7.37914 | + | 6.19183i | 0.249746 | + | 0.209562i | ||||
\(874\) | −1.67304 | − | 2.89779i | −0.0565914 | − | 0.0980192i | ||||
\(875\) | −2.00129 | − | 0.728410i | −0.0676560 | − | 0.0246248i | ||||
\(876\) | 1.93249 | − | 10.9597i | 0.0652927 | − | 0.370293i | ||||
\(877\) | 14.2030 | − | 24.6003i | 0.479601 | − | 0.830694i | −0.520125 | − | 0.854090i | \(-0.674115\pi\) |
0.999726 | + | 0.0233963i | \(0.00744795\pi\) | |||||||
\(878\) | 18.6584 | + | 32.3172i | 0.629689 | + | 1.09065i | ||||
\(879\) | 26.4292 | − | 9.61945i | 0.891435 | − | 0.324456i | ||||
\(880\) | 1.53109 | − | 2.65192i | 0.0516129 | − | 0.0893962i | ||||
\(881\) | −21.2557 | + | 17.8356i | −0.716121 | + | 0.600897i | −0.926309 | − | 0.376764i | \(-0.877037\pi\) |
0.210188 | + | 0.977661i | \(0.432592\pi\) | |||||||
\(882\) | −5.29029 | −0.178133 | ||||||||
\(883\) | 36.4917 | − | 30.6202i | 1.22804 | − | 1.03045i | 0.229681 | − | 0.973266i | \(-0.426232\pi\) |
0.998364 | − | 0.0571854i | \(-0.0182126\pi\) | |||||||
\(884\) | 23.8730 | + | 8.68906i | 0.802936 | + | 0.292245i | ||||
\(885\) | −1.80013 | − | 10.2090i | −0.0605107 | − | 0.343173i | ||||
\(886\) | 0.540716 | − | 3.06655i | 0.0181657 | − | 0.103023i | ||||
\(887\) | 47.2985 | 1.58813 | 0.794064 | − | 0.607834i | \(-0.207961\pi\) | ||||
0.794064 | + | 0.607834i | \(0.207961\pi\) | |||||||
\(888\) | −4.19339 | + | 3.73944i | −0.140721 | + | 0.125487i | ||||
\(889\) | −5.80749 | −0.194777 | ||||||||
\(890\) | 1.17588 | − | 6.66875i | 0.0394156 | − | 0.223537i | ||||
\(891\) | −1.08967 | − | 6.17981i | −0.0365052 | − | 0.207031i | ||||
\(892\) | −20.2484 | − | 7.36983i | −0.677968 | − | 0.246760i | ||||
\(893\) | 21.2588 | − | 17.8382i | 0.711398 | − | 0.596934i | ||||
\(894\) | −9.53831 | −0.319009 | ||||||||
\(895\) | −3.12567 | + | 2.62275i | −0.104480 | + | 0.0876688i | ||||
\(896\) | 1.06486 | − | 1.84440i | 0.0355746 | − | 0.0616171i | ||||
\(897\) | −2.93904 | + | 1.06972i | −0.0981318 | + | 0.0357171i | ||||
\(898\) | −4.78233 | − | 8.28325i | −0.159589 | − | 0.276415i | ||||
\(899\) | −49.5702 | + | 85.8581i | −1.65326 | + | 2.86353i | ||||
\(900\) | −0.372790 | + | 2.11420i | −0.0124263 | + | 0.0704733i | ||||
\(901\) | −75.3227 | − | 27.4152i | −2.50936 | − | 0.913334i | ||||
\(902\) | 12.6070 | + | 21.8360i | 0.419767 | + | 0.727058i | ||||
\(903\) | 7.56339 | + | 6.34644i | 0.251694 | + | 0.211196i | ||||
\(904\) | −4.39447 | − | 3.68740i | −0.146158 | − | 0.122641i | ||||
\(905\) | 14.6953 | − | 5.34864i | 0.488487 | − | 0.177795i | ||||
\(906\) | −0.244489 | − | 1.38656i | −0.00812259 | − | 0.0460655i | ||||
\(907\) | −4.90615 | − | 27.8242i | −0.162906 | − | 0.923887i | −0.951197 | − | 0.308584i | \(-0.900145\pi\) |
0.788291 | − | 0.615303i | \(-0.210966\pi\) | |||||||
\(908\) | 9.56465 | − | 3.48125i | 0.317414 | − | 0.115529i | ||||
\(909\) | −32.6446 | − | 27.3921i | −1.08275 | − | 0.908537i | ||||
\(910\) | 6.32392 | + | 5.30640i | 0.209636 | + | 0.175905i | ||||
\(911\) | −8.49708 | − | 14.7174i | −0.281521 | − | 0.487608i | 0.690239 | − | 0.723582i | \(-0.257505\pi\) |
−0.971759 | + | 0.235973i | \(0.924172\pi\) | |||||||
\(912\) | −3.32471 | − | 1.21010i | −0.110092 | − | 0.0400703i | ||||
\(913\) | −6.81115 | + | 38.6280i | −0.225416 | + | 1.27840i | ||||
\(914\) | 7.30818 | − | 12.6581i | 0.241733 | − | 0.418694i | ||||
\(915\) | −5.88490 | − | 10.1929i | −0.194549 | − | 0.336968i | ||||
\(916\) | −3.25788 | + | 1.18577i | −0.107643 | + | 0.0391789i | ||||
\(917\) | −16.4154 | + | 28.4323i | −0.542083 | + | 0.938916i | ||||
\(918\) | 23.8686 | − | 20.0282i | 0.787782 | − | 0.661028i | ||||
\(919\) | 33.4878 | 1.10466 | 0.552331 | − | 0.833625i | \(-0.313739\pi\) | ||||
0.552331 | + | 0.833625i | \(0.313739\pi\) | |||||||
\(920\) | 0.669181 | − | 0.561510i | 0.0220623 | − | 0.0185124i | ||||
\(921\) | 4.88069 | + | 1.77643i | 0.160824 | + | 0.0585353i | ||||
\(922\) | 2.46835 | + | 13.9987i | 0.0812906 | + | 0.461022i | ||||
\(923\) | −0.210971 | + | 1.19648i | −0.00694420 | + | 0.0393825i | ||||
\(924\) | −6.02388 | −0.198171 | ||||||||
\(925\) | 4.77524 | + | 3.76790i | 0.157009 | + | 0.123888i | ||||
\(926\) | −2.65766 | −0.0873363 | ||||||||
\(927\) | −2.28144 | + | 12.9387i | −0.0749324 | + | 0.424963i | ||||
\(928\) | 1.61153 | + | 9.13941i | 0.0529009 | + | 0.300016i | ||||
\(929\) | 16.8108 | + | 6.11864i | 0.551545 | + | 0.200746i | 0.602733 | − | 0.797943i | \(-0.294078\pi\) |
−0.0511878 | + | 0.998689i | \(0.516301\pi\) | |||||||
\(930\) | 7.55892 | − | 6.34269i | 0.247867 | − | 0.207985i | ||||
\(931\) | −9.43913 | −0.309355 | ||||||||
\(932\) | 15.8881 | − | 13.3317i | 0.520434 | − | 0.436696i | ||||
\(933\) | 1.95570 | − | 3.38737i | 0.0640267 | − | 0.110898i | ||||
\(934\) | 20.7621 | − | 7.55679i | 0.679357 | − | 0.247266i | ||||
\(935\) | 10.0349 | + | 17.3810i | 0.328176 | + | 0.568418i | ||||
\(936\) | 4.16076 | − | 7.20664i | 0.135999 | − | 0.235556i | ||||
\(937\) | −3.53242 | + | 20.0334i | −0.115399 | + | 0.654462i | 0.871152 | + | 0.491013i | \(0.163373\pi\) |
−0.986552 | + | 0.163449i | \(0.947738\pi\) | |||||||
\(938\) | −3.43940 | − | 1.25184i | −0.112300 | − | 0.0408740i | ||||
\(939\) | −8.71728 | − | 15.0988i | −0.284478 | − | 0.492730i | ||||
\(940\) | 5.54999 | + | 4.65699i | 0.181021 | + | 0.151894i | ||||
\(941\) | 21.7559 | + | 18.2554i | 0.709222 | + | 0.595108i | 0.924381 | − | 0.381471i | \(-0.124582\pi\) |
−0.215158 | + | 0.976579i | \(0.569027\pi\) | |||||||
\(942\) | 3.95647 | − | 1.44004i | 0.128909 | − | 0.0469189i | ||||
\(943\) | 1.24903 | + | 7.08359i | 0.0406739 | + | 0.230673i | ||||
\(944\) | −1.94886 | − | 11.0526i | −0.0634302 | − | 0.359730i | ||||
\(945\) | 9.51417 | − | 3.46287i | 0.309496 | − | 0.112647i | ||||
\(946\) | 11.7733 | + | 9.87901i | 0.382784 | + | 0.321194i | ||||
\(947\) | 2.00346 | + | 1.68111i | 0.0651038 | + | 0.0546286i | 0.674759 | − | 0.738038i | \(-0.264248\pi\) |
−0.609655 | + | 0.792667i | \(0.708692\pi\) | |||||||
\(948\) | −2.04727 | − | 3.54597i | −0.0664922 | − | 0.115168i | ||||
\(949\) | 43.8852 | + | 15.9729i | 1.42457 | + | 0.518502i | ||||
\(950\) | −0.665145 | + | 3.77223i | −0.0215802 | + | 0.122387i | ||||
\(951\) | −12.1185 | + | 20.9898i | −0.392969 | + | 0.680642i | ||||
\(952\) | 6.97923 | + | 12.0884i | 0.226198 | + | 0.391787i | ||||
\(953\) | 30.7072 | − | 11.1765i | 0.994702 | − | 0.362042i | 0.207163 | − | 0.978306i | \(-0.433577\pi\) |
0.787539 | + | 0.616264i | \(0.211355\pi\) | |||||||
\(954\) | −13.1278 | + | 22.7380i | −0.425028 | + | 0.736169i | ||||
\(955\) | 11.9503 | − | 10.0275i | 0.386702 | − | 0.324482i | ||||
\(956\) | 4.44751 | 0.143843 | ||||||||
\(957\) | 20.1082 | − | 16.8728i | 0.650005 | − | 0.545419i | ||||
\(958\) | −34.5118 | − | 12.5613i | −1.11503 | − | 0.405836i | ||||
\(959\) | 0.0145665 | + | 0.0826107i | 0.000470377 | + | 0.00266764i | ||||
\(960\) | 0.160396 | − | 0.909649i | 0.00517675 | − | 0.0293588i | ||||
\(961\) | 83.1214 | 2.68134 | ||||||||
\(962\) | −12.3983 | − | 20.0551i | −0.399738 | − | 0.646603i | ||||
\(963\) | −37.1218 | −1.19623 | ||||||||
\(964\) | −0.625751 | + | 3.54881i | −0.0201541 | + | 0.114299i | ||||
\(965\) | 1.47568 | + | 8.36902i | 0.0475040 | + | 0.269408i | ||||
\(966\) | −1.61481 | − | 0.587744i | −0.0519558 | − | 0.0189103i | ||||
\(967\) | −32.4982 | + | 27.2692i | −1.04507 | + | 0.876919i | −0.992567 | − | 0.121702i | \(-0.961165\pi\) |
−0.0525042 | + | 0.998621i | \(0.516720\pi\) | |||||||
\(968\) | 1.62309 | 0.0521681 | ||||||||
\(969\) | 17.7638 | − | 14.9056i | 0.570655 | − | 0.478837i | ||||
\(970\) | −2.24351 | + | 3.88587i | −0.0720347 | + | 0.124768i | ||||
\(971\) | −28.5468 | + | 10.3902i | −0.916109 | + | 0.333436i | −0.756689 | − | 0.653775i | \(-0.773184\pi\) |
−0.159419 | + | 0.987211i | \(0.550962\pi\) | |||||||
\(972\) | −8.07745 | − | 13.9905i | −0.259084 | − | 0.448747i | ||||
\(973\) | −11.0601 | + | 19.1567i | −0.354571 | + | 0.614134i | ||||
\(974\) | −4.25507 | + | 24.1317i | −0.136341 | + | 0.773230i | ||||
\(975\) | 3.36447 | + | 1.22457i | 0.107749 | + | 0.0392175i | ||||
\(976\) | −6.37114 | − | 11.0351i | −0.203935 | − | 0.353226i | ||||
\(977\) | −11.6118 | − | 9.74342i | −0.371493 | − | 0.311720i | 0.437859 | − | 0.899044i | \(-0.355737\pi\) |
−0.809352 | + | 0.587324i | \(0.800181\pi\) | |||||||
\(978\) | 8.54243 | + | 7.16795i | 0.273157 | + | 0.229206i | ||||
\(979\) | −19.4854 | + | 7.09209i | −0.622755 | + | 0.226664i | ||||
\(980\) | −0.427913 | − | 2.42682i | −0.0136692 | − | 0.0775218i | ||||
\(981\) | 3.16797 | + | 17.9664i | 0.101145 | + | 0.573624i | ||||
\(982\) | −7.00489 | + | 2.54957i | −0.223535 | + | 0.0813601i | ||||
\(983\) | −35.9651 | − | 30.1783i | −1.14711 | − | 0.962537i | −0.147459 | − | 0.989068i | \(-0.547109\pi\) |
−0.999648 | + | 0.0265310i | \(0.991554\pi\) | |||||||
\(984\) | 5.82624 | + | 4.88879i | 0.185734 | + | 0.155849i | ||||
\(985\) | −3.98409 | − | 6.90064i | −0.126944 | − | 0.219873i | ||||
\(986\) | −57.1565 | − | 20.8033i | −1.82023 | − | 0.662511i | ||||
\(987\) | 2.47489 | − | 14.0358i | 0.0787765 | − | 0.446763i | ||||
\(988\) | 7.42377 | − | 12.8583i | 0.236182 | − | 0.409078i | ||||
\(989\) | 2.19218 | + | 3.79696i | 0.0697072 | + | 0.120736i | ||||
\(990\) | 6.17746 | − | 2.24841i | 0.196333 | − | 0.0714592i | ||||
\(991\) | 16.3363 | − | 28.2952i | 0.518938 | − | 0.898827i | −0.480820 | − | 0.876820i | \(-0.659661\pi\) |
0.999758 | − | 0.0220078i | \(-0.00700586\pi\) | |||||||
\(992\) | 8.18347 | − | 6.86675i | 0.259825 | − | 0.218019i | ||||
\(993\) | 6.27112 | 0.199008 | ||||||||
\(994\) | −0.511356 | + | 0.429078i | −0.0162192 | + | 0.0136095i | ||||
\(995\) | 11.2959 | + | 4.11138i | 0.358105 | + | 0.130339i | ||||
\(996\) | 2.05453 | + | 11.6518i | 0.0651004 | + | 0.369202i | ||||
\(997\) | 3.00057 | − | 17.0171i | 0.0950289 | − | 0.538936i | −0.899710 | − | 0.436489i | \(-0.856222\pi\) |
0.994738 | − | 0.102447i | \(-0.0326671\pi\) | |||||||
\(998\) | 22.2680 | 0.704881 | ||||||||
\(999\) | −28.9044 | + | 0.870425i | −0.914496 | + | 0.0275390i |
(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 | 370.2.o.c.181.3 | ✓ | 24 | |
37.9 | even | 9 | inner | 370.2.o.c.231.3 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.c.181.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
370.2.o.c.231.3 | yes | 24 | 37.9 | even | 9 | inner |