Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [471,2,Mod(2,471)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(471, base_ring=CyclotomicField(52))
chi = DirichletCharacter(H, H._module([26, 47]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("471.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 471 = 3 \cdot 157 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 471.s (of order \(52\), 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: | \(3.76095393520\) |
Analytic rank: | \(0\) |
Dimension: | \(1200\) |
Relative dimension: | \(50\) over \(\Q(\zeta_{52})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{52}]$ |
Embedding invariants
Embedding label | 2.11 | ||
Character | \(\chi\) | \(=\) | 471.2 |
Dual form | 471.2.s.a.236.11 |
$q$-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 \(\left(\mathbb{Z}/471\mathbb{Z}\right)^\times\).
\(n\) | \(158\) | \(319\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{47}{52}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.76476 | + | 0.323404i | −1.24787 | + | 0.228681i | −0.763286 | − | 0.646061i | \(-0.776415\pi\) |
−0.484588 | + | 0.874742i | \(0.661031\pi\) | |||||||
\(3\) | −0.748594 | + | 1.56192i | −0.432201 | + | 0.901777i | ||||
\(4\) | 1.13976 | − | 0.432253i | 0.569879 | − | 0.216126i | ||||
\(5\) | −1.29547 | − | 4.15732i | −0.579353 | − | 1.85921i | −0.507227 | − | 0.861812i | \(-0.669330\pi\) |
−0.0721252 | − | 0.997396i | \(-0.522978\pi\) | |||||||
\(6\) | 0.815956 | − | 2.99852i | 0.333113 | − | 1.22414i | ||||
\(7\) | 1.29997 | − | 0.585071i | 0.491344 | − | 0.221136i | −0.149566 | − | 0.988752i | \(-0.547788\pi\) |
0.640910 | + | 0.767616i | \(0.278557\pi\) | |||||||
\(8\) | 1.19919 | − | 0.724937i | 0.423978 | − | 0.256304i | ||||
\(9\) | −1.87921 | − | 2.33849i | −0.626405 | − | 0.779498i | ||||
\(10\) | 3.63069 | + | 6.91770i | 1.14813 | + | 2.18757i | ||||
\(11\) | −4.42757 | + | 3.05613i | −1.33496 | + | 0.921458i | −0.999786 | − | 0.0206978i | \(-0.993411\pi\) |
−0.335176 | + | 0.942155i | \(0.608796\pi\) | |||||||
\(12\) | −0.178069 | + | 2.10380i | −0.0514042 | + | 0.607314i | ||||
\(13\) | − | 1.06451i | − | 0.295242i | −0.989044 | − | 0.147621i | \(-0.952838\pi\) | ||
0.989044 | − | 0.147621i | \(-0.0471616\pi\) | |||||||
\(14\) | −2.10493 | + | 1.45293i | −0.562566 | + | 0.388311i | ||||
\(15\) | 7.46319 | + | 1.08871i | 1.92699 | + | 0.281104i | ||||
\(16\) | −3.70666 | + | 3.28382i | −0.926666 | + | 0.820954i | ||||
\(17\) | 0.783207 | − | 1.49228i | 0.189956 | − | 0.361930i | −0.771789 | − | 0.635879i | \(-0.780638\pi\) |
0.961744 | + | 0.273949i | \(0.0883300\pi\) | |||||||
\(18\) | 4.07264 | + | 3.51914i | 0.959931 | + | 0.829468i | ||||
\(19\) | 4.02889 | + | 0.993033i | 0.924292 | + | 0.227817i | 0.672614 | − | 0.739994i | \(-0.265171\pi\) |
0.251678 | + | 0.967811i | \(0.419018\pi\) | |||||||
\(20\) | −3.27354 | − | 4.17836i | −0.731985 | − | 0.934309i | ||||
\(21\) | −0.0593166 | + | 2.46844i | −0.0129439 | + | 0.538658i | ||||
\(22\) | 6.82523 | − | 6.82523i | 1.45514 | − | 1.45514i | ||||
\(23\) | −0.453506 | + | 7.49735i | −0.0945626 | + | 1.56331i | 0.573503 | + | 0.819203i | \(0.305584\pi\) |
−0.668066 | + | 0.744102i | \(0.732877\pi\) | |||||||
\(24\) | 0.234588 | + | 2.41573i | 0.0478851 | + | 0.493109i | ||||
\(25\) | −11.4901 | + | 7.93104i | −2.29802 | + | 1.58621i | ||||
\(26\) | 0.344267 | + | 1.87860i | 0.0675163 | + | 0.368425i | ||||
\(27\) | 5.05932 | − | 1.18461i | 0.973666 | − | 0.227978i | ||||
\(28\) | 1.22876 | − | 1.22876i | 0.232213 | − | 0.232213i | ||||
\(29\) | 3.42698 | + | 1.06789i | 0.636374 | + | 0.198302i | 0.598682 | − | 0.800987i | \(-0.295692\pi\) |
0.0376927 | + | 0.999289i | \(0.487999\pi\) | |||||||
\(30\) | −13.5228 | + | 0.492312i | −2.46892 | + | 0.0898835i | ||||
\(31\) | −3.35998 | − | 0.407976i | −0.603471 | − | 0.0732746i | −0.186902 | − | 0.982379i | \(-0.559845\pi\) |
−0.416569 | + | 0.909104i | \(0.636768\pi\) | |||||||
\(32\) | 3.75098 | − | 4.78777i | 0.663086 | − | 0.846366i | ||||
\(33\) | −1.45899 | − | 9.20333i | −0.253978 | − | 1.60209i | ||||
\(34\) | −0.899564 | + | 2.88680i | −0.154274 | + | 0.495083i | ||||
\(35\) | −4.11640 | − | 4.64646i | −0.695799 | − | 0.785395i | ||||
\(36\) | −3.15267 | − | 1.85302i | −0.525445 | − | 0.308837i | ||||
\(37\) | −7.81338 | + | 4.10078i | −1.28451 | + | 0.674163i | −0.962167 | − | 0.272459i | \(-0.912163\pi\) |
−0.322344 | + | 0.946623i | \(0.604471\pi\) | |||||||
\(38\) | −7.43119 | − | 0.449504i | −1.20550 | − | 0.0729192i | ||||
\(39\) | 1.66268 | + | 0.796886i | 0.266242 | + | 0.127604i | ||||
\(40\) | −4.56731 | − | 4.04628i | −0.722155 | − | 0.639774i | ||||
\(41\) | −0.384206 | − | 6.35168i | −0.0600029 | − | 0.991966i | −0.896232 | − | 0.443586i | \(-0.853706\pi\) |
0.836229 | − | 0.548380i | \(-0.184755\pi\) | |||||||
\(42\) | −0.693625 | − | 4.37539i | −0.107029 | − | 0.675137i | ||||
\(43\) | −5.62635 | − | 2.53221i | −0.858010 | − | 0.386159i | −0.0668462 | − | 0.997763i | \(-0.521294\pi\) |
−0.791164 | + | 0.611604i | \(0.790524\pi\) | |||||||
\(44\) | −3.72533 | + | 5.39708i | −0.561615 | + | 0.813640i | ||||
\(45\) | −7.28739 | + | 10.8419i | −1.08634 | + | 1.61622i | ||||
\(46\) | −1.62435 | − | 13.3777i | −0.239497 | − | 1.97243i | ||||
\(47\) | −2.52427 | + | 4.80960i | −0.368203 | + | 0.701552i | −0.997113 | − | 0.0759256i | \(-0.975809\pi\) |
0.628911 | + | 0.777478i | \(0.283501\pi\) | |||||||
\(48\) | −2.35429 | − | 8.24777i | −0.339812 | − | 1.19046i | ||||
\(49\) | −3.29423 | + | 3.71842i | −0.470605 | + | 0.531203i | ||||
\(50\) | 17.7123 | − | 17.7123i | 2.50490 | − | 2.50490i | ||||
\(51\) | 1.74452 | + | 2.34042i | 0.244281 | + | 0.327724i | ||||
\(52\) | −0.460137 | − | 1.21328i | −0.0638096 | − | 0.168252i | ||||
\(53\) | −5.19968 | + | 3.14332i | −0.714231 | + | 0.431768i | −0.827256 | − | 0.561825i | \(-0.810100\pi\) |
0.113026 | + | 0.993592i | \(0.463946\pi\) | |||||||
\(54\) | −8.54538 | + | 3.72675i | −1.16288 | + | 0.507147i | ||||
\(55\) | 18.4411 | + | 14.4477i | 2.48660 | + | 1.94812i | ||||
\(56\) | 1.13478 | − | 1.64401i | 0.151641 | − | 0.219690i | ||||
\(57\) | −4.56705 | + | 5.54945i | −0.604920 | + | 0.735042i | ||||
\(58\) | −6.39316 | − | 0.776270i | −0.839463 | − | 0.101929i | ||||
\(59\) | 6.76857 | + | 4.09174i | 0.881192 | + | 0.532699i | 0.884101 | − | 0.467296i | \(-0.154772\pi\) |
−0.00290838 | + | 0.999996i | \(0.500926\pi\) | |||||||
\(60\) | 8.97683 | − | 1.98512i | 1.15890 | − | 0.256278i | ||||
\(61\) | 8.68773 | − | 5.25192i | 1.11235 | − | 0.672439i | 0.162990 | − | 0.986628i | \(-0.447886\pi\) |
0.949361 | + | 0.314188i | \(0.101732\pi\) | |||||||
\(62\) | 6.06151 | − | 0.366654i | 0.769812 | − | 0.0465651i | ||||
\(63\) | −3.81111 | − | 1.94051i | −0.480155 | − | 0.244481i | ||||
\(64\) | −0.468527 | + | 0.892703i | −0.0585659 | + | 0.111588i | ||||
\(65\) | −4.42550 | + | 1.37904i | −0.548916 | + | 0.171049i | ||||
\(66\) | 5.55117 | + | 15.7698i | 0.683301 | + | 1.94113i | ||||
\(67\) | −1.74040 | − | 0.428971i | −0.212624 | − | 0.0524071i | 0.131565 | − | 0.991308i | \(-0.458000\pi\) |
−0.344189 | + | 0.938900i | \(0.611846\pi\) | |||||||
\(68\) | 0.247625 | − | 2.03938i | 0.0300289 | − | 0.247311i | ||||
\(69\) | −11.3708 | − | 6.32081i | −1.36888 | − | 0.760937i | ||||
\(70\) | 8.76715 | + | 6.86862i | 1.04787 | + | 0.820958i | ||||
\(71\) | −1.69986 | + | 6.89662i | −0.201737 | + | 0.818478i | 0.779615 | + | 0.626259i | \(0.215415\pi\) |
−0.981352 | + | 0.192219i | \(0.938432\pi\) | |||||||
\(72\) | −3.94880 | − | 1.44199i | −0.465370 | − | 0.169940i | ||||
\(73\) | 1.32575 | + | 2.94571i | 0.155168 | + | 0.344769i | 0.973042 | − | 0.230629i | \(-0.0740782\pi\) |
−0.817874 | + | 0.575397i | \(0.804847\pi\) | |||||||
\(74\) | 12.4625 | − | 9.76377i | 1.44874 | − | 1.13502i | ||||
\(75\) | −3.78627 | − | 23.8838i | −0.437201 | − | 2.75786i | ||||
\(76\) | 5.02120 | − | 0.609685i | 0.575972 | − | 0.0699356i | ||||
\(77\) | −3.96767 | + | 6.56333i | −0.452158 | + | 0.747961i | ||||
\(78\) | −3.19195 | − | 0.868593i | −0.361418 | − | 0.0983488i | ||||
\(79\) | −1.34867 | + | 7.35946i | −0.151737 | + | 0.828004i | 0.816382 | + | 0.577513i | \(0.195977\pi\) |
−0.968119 | + | 0.250491i | \(0.919408\pi\) | |||||||
\(80\) | 18.4537 | + | 11.1557i | 2.06319 | + | 1.24724i | ||||
\(81\) | −1.93711 | + | 8.78906i | −0.215234 | + | 0.976562i | ||||
\(82\) | 2.73219 | + | 11.0849i | 0.301720 | + | 1.22413i | ||||
\(83\) | 2.78649 | + | 3.55669i | 0.305857 | + | 0.390397i | 0.915526 | − | 0.402258i | \(-0.131775\pi\) |
−0.609669 | + | 0.792656i | \(0.708698\pi\) | |||||||
\(84\) | 0.999384 | + | 2.83906i | 0.109042 | + | 0.309767i | ||||
\(85\) | −7.21848 | − | 1.32284i | −0.782954 | − | 0.143482i | ||||
\(86\) | 10.7481 | + | 2.64917i | 1.15900 | + | 0.285667i | ||||
\(87\) | −4.23338 | + | 4.55327i | −0.453866 | + | 0.488161i | ||||
\(88\) | −3.09400 | + | 6.87459i | −0.329822 | + | 0.732834i | ||||
\(89\) | −0.789216 | − | 0.0958282i | −0.0836568 | − | 0.0101578i | 0.0786012 | − | 0.996906i | \(-0.474955\pi\) |
−0.162258 | + | 0.986748i | \(0.551878\pi\) | |||||||
\(90\) | 9.35417 | − | 21.4902i | 0.986016 | − | 2.26527i | ||||
\(91\) | −0.622814 | − | 1.38383i | −0.0652886 | − | 0.145065i | ||||
\(92\) | 2.72386 | + | 8.74119i | 0.283983 | + | 0.911332i | ||||
\(93\) | 3.15249 | − | 4.94263i | 0.326898 | − | 0.512527i | ||||
\(94\) | 2.89929 | − | 9.30415i | 0.299039 | − | 0.959650i | ||||
\(95\) | −1.09097 | − | 18.0358i | −0.111931 | − | 1.85044i | ||||
\(96\) | 4.67017 | + | 9.44284i | 0.476648 | + | 0.963756i | ||||
\(97\) | 2.17010 | + | 6.96411i | 0.220341 | + | 0.707098i | 0.997016 | + | 0.0771969i | \(0.0245970\pi\) |
−0.776675 | + | 0.629901i | \(0.783095\pi\) | |||||||
\(98\) | 4.61098 | − | 7.62749i | 0.465779 | − | 0.770493i | ||||
\(99\) | 15.4671 | + | 4.61072i | 1.55450 | + | 0.463395i | ||||
\(100\) | −9.66771 | + | 14.0061i | −0.966771 | + | 1.40061i | ||||
\(101\) | −3.19518 | − | 2.20547i | −0.317932 | − | 0.219453i | 0.398401 | − | 0.917211i | \(-0.369565\pi\) |
−0.716333 | + | 0.697759i | \(0.754181\pi\) | |||||||
\(102\) | −3.83556 | − | 3.56609i | −0.379777 | − | 0.353096i | ||||
\(103\) | 3.93552 | + | 5.02332i | 0.387778 | + | 0.494962i | 0.941158 | − | 0.337967i | \(-0.109739\pi\) |
−0.553380 | + | 0.832929i | \(0.686662\pi\) | |||||||
\(104\) | −0.771702 | − | 1.27655i | −0.0756716 | − | 0.125176i | ||||
\(105\) | 10.3389 | − | 2.95120i | 1.00898 | − | 0.288007i | ||||
\(106\) | 8.15963 | − | 7.22880i | 0.792533 | − | 0.702123i | ||||
\(107\) | −3.71393 | − | 3.71393i | −0.359040 | − | 0.359040i | 0.504419 | − | 0.863459i | \(-0.331707\pi\) |
−0.863459 | + | 0.504419i | \(0.831707\pi\) | |||||||
\(108\) | 5.25435 | − | 3.53707i | 0.505600 | − | 0.340355i | ||||
\(109\) | 0.844101 | + | 2.22571i | 0.0808502 | + | 0.213184i | 0.969346 | − | 0.245701i | \(-0.0790181\pi\) |
−0.888495 | + | 0.458885i | \(0.848249\pi\) | |||||||
\(110\) | −37.2165 | − | 19.5327i | −3.54846 | − | 1.86237i | ||||
\(111\) | −0.556054 | − | 15.2737i | −0.0527783 | − | 1.44972i | ||||
\(112\) | −2.89730 | + | 6.43754i | −0.273769 | + | 0.608290i | ||||
\(113\) | −1.08681 | − | 0.750169i | −0.102238 | − | 0.0705700i | 0.515849 | − | 0.856680i | \(-0.327477\pi\) |
−0.618087 | + | 0.786110i | \(0.712092\pi\) | |||||||
\(114\) | 6.26503 | − | 11.2705i | 0.586774 | − | 1.05557i | ||||
\(115\) | 31.7564 | − | 7.82724i | 2.96130 | − | 0.729894i | ||||
\(116\) | 4.36752 | − | 0.264187i | 0.405514 | − | 0.0245291i | ||||
\(117\) | −2.48935 | + | 2.00044i | −0.230140 | + | 0.184941i | ||||
\(118\) | −13.2682 | − | 5.03196i | −1.22144 | − | 0.463229i | ||||
\(119\) | 0.145061 | − | 2.39815i | 0.0132978 | − | 0.219838i | ||||
\(120\) | 9.73905 | − | 4.10477i | 0.889049 | − | 0.374712i | ||||
\(121\) | 6.36278 | − | 16.7773i | 0.578434 | − | 1.52521i | ||||
\(122\) | −13.6333 | + | 12.0780i | −1.23430 | + | 1.09349i | ||||
\(123\) | 10.2085 | + | 4.15473i | 0.920466 | + | 0.374620i | ||||
\(124\) | −4.00591 | + | 0.987369i | −0.359742 | + | 0.0886684i | ||||
\(125\) | 30.7181 | + | 24.0661i | 2.74751 | + | 2.15254i | ||||
\(126\) | 7.35327 | + | 2.19200i | 0.655082 | + | 0.195279i | ||||
\(127\) | −20.1505 | + | 2.44672i | −1.78807 | + | 0.217111i | −0.946426 | − | 0.322921i | \(-0.895335\pi\) |
−0.841644 | + | 0.540032i | \(0.818412\pi\) | |||||||
\(128\) | −3.08078 | + | 9.88659i | −0.272305 | + | 0.873859i | ||||
\(129\) | 8.16698 | − | 6.89233i | 0.719062 | − | 0.606836i | ||||
\(130\) | 7.36396 | − | 3.86491i | 0.645862 | − | 0.338975i | ||||
\(131\) | 2.85478 | − | 0.523158i | 0.249423 | − | 0.0457085i | −0.0540887 | − | 0.998536i | \(-0.517225\pi\) |
0.303512 | + | 0.952828i | \(0.401841\pi\) | |||||||
\(132\) | −5.64106 | − | 9.85890i | −0.490991 | − | 0.858107i | ||||
\(133\) | 5.81845 | − | 1.06627i | 0.504524 | − | 0.0924574i | ||||
\(134\) | 3.21012 | + | 0.194177i | 0.277312 | + | 0.0167743i | ||||
\(135\) | −11.4790 | − | 19.4986i | −0.987954 | − | 1.67817i | ||||
\(136\) | −0.142590 | − | 2.35730i | −0.0122270 | − | 0.202137i | ||||
\(137\) | −14.8196 | + | 11.6104i | −1.26613 | + | 0.991946i | −0.266521 | + | 0.963829i | \(0.585874\pi\) |
−0.999605 | + | 0.0281166i | \(0.991049\pi\) | |||||||
\(138\) | 22.1109 | + | 7.47736i | 1.88221 | + | 0.636515i | ||||
\(139\) | −1.86030 | − | 1.12459i | −0.157788 | − | 0.0953864i | 0.436241 | − | 0.899830i | \(-0.356310\pi\) |
−0.594029 | + | 0.804444i | \(0.702464\pi\) | |||||||
\(140\) | −6.70015 | − | 3.51651i | −0.566266 | − | 0.297199i | ||||
\(141\) | −5.62257 | − | 7.54316i | −0.473506 | − | 0.635249i | ||||
\(142\) | 0.769456 | − | 12.7206i | 0.0645713 | − | 1.06749i | ||||
\(143\) | 3.25328 | + | 4.71319i | 0.272053 | + | 0.394137i | ||||
\(144\) | 14.6448 | + | 2.49702i | 1.22040 | + | 0.208085i | ||||
\(145\) | − | 15.6305i | − | 1.29804i | ||||||
\(146\) | −3.29229 | − | 4.76971i | −0.272472 | − | 0.394744i | ||||
\(147\) | −3.34185 | − | 7.92893i | −0.275631 | − | 0.653967i | ||||
\(148\) | −7.13278 | + | 8.05124i | −0.586311 | + | 0.661808i | ||||
\(149\) | 3.34350 | + | 5.53083i | 0.273911 | + | 0.453103i | 0.962204 | − | 0.272329i | \(-0.0877938\pi\) |
−0.688294 | + | 0.725432i | \(0.741640\pi\) | |||||||
\(150\) | 14.4060 | + | 40.9247i | 1.17624 | + | 3.34149i | ||||
\(151\) | 6.73874 | + | 1.23492i | 0.548391 | + | 0.100496i | 0.447305 | − | 0.894381i | \(-0.352384\pi\) |
0.101085 | + | 0.994878i | \(0.467768\pi\) | |||||||
\(152\) | 5.55130 | − | 1.72986i | 0.450270 | − | 0.140310i | ||||
\(153\) | −4.96149 | + | 0.972781i | −0.401113 | + | 0.0786447i | ||||
\(154\) | 4.87938 | − | 12.8659i | 0.393192 | − | 1.03676i | ||||
\(155\) | 2.65668 | + | 14.4970i | 0.213390 | + | 1.16443i | ||||
\(156\) | 2.23951 | + | 0.189556i | 0.179304 | + | 0.0151767i | ||||
\(157\) | −12.3519 | − | 2.10475i | −0.985791 | − | 0.167977i | ||||
\(158\) | − | 13.4239i | − | 1.06794i | ||||||
\(159\) | −1.01717 | − | 10.4746i | −0.0806669 | − | 0.830687i | ||||
\(160\) | −24.7636 | − | 9.39158i | −1.95773 | − | 0.742469i | ||||
\(161\) | 3.79693 | + | 10.0117i | 0.299240 | + | 0.789032i | ||||
\(162\) | 0.576115 | − | 16.1371i | 0.0452638 | − | 1.26785i | ||||
\(163\) | 1.91762 | − | 10.4641i | 0.150200 | − | 0.819613i | −0.819085 | − | 0.573672i | \(-0.805518\pi\) |
0.969285 | − | 0.245941i | \(-0.0790969\pi\) | |||||||
\(164\) | −3.18344 | − | 7.07330i | −0.248585 | − | 0.552332i | ||||
\(165\) | −36.3710 | + | 17.9881i | −2.83148 | + | 1.40037i | ||||
\(166\) | −6.06774 | − | 5.37554i | −0.470948 | − | 0.417223i | ||||
\(167\) | −22.4856 | + | 11.8014i | −1.73999 | + | 0.913216i | −0.783527 | + | 0.621358i | \(0.786581\pi\) |
−0.956462 | + | 0.291858i | \(0.905726\pi\) | |||||||
\(168\) | 1.71833 | + | 3.00313i | 0.132572 | + | 0.231697i | ||||
\(169\) | 11.8668 | 0.912832 | ||||||||
\(170\) | 13.1667 | 1.00984 | ||||||||
\(171\) | −5.24895 | − | 11.2877i | −0.401397 | − | 0.863190i | ||||
\(172\) | −7.50723 | − | 0.454104i | −0.572421 | − | 0.0346251i | ||||
\(173\) | −16.5185 | − | 18.6456i | −1.25588 | − | 1.41760i | −0.868511 | − | 0.495671i | \(-0.834922\pi\) |
−0.387369 | − | 0.921925i | \(-0.626616\pi\) | |||||||
\(174\) | 5.99836 | − | 9.40452i | 0.454734 | − | 0.712955i | ||||
\(175\) | −10.2966 | + | 17.0327i | −0.778351 | + | 1.28755i | ||||
\(176\) | 6.37573 | − | 25.8674i | 0.480589 | − | 1.94983i | ||||
\(177\) | −11.4579 | + | 7.50893i | −0.861228 | + | 0.564406i | ||||
\(178\) | 1.42377 | − | 0.0861222i | 0.106716 | − | 0.00645513i | ||||
\(179\) | −13.4917 | − | 13.4917i | −1.00842 | − | 1.00842i | −0.999964 | − | 0.00845578i | \(-0.997308\pi\) |
−0.00845578 | − | 0.999964i | \(-0.502692\pi\) | |||||||
\(180\) | −3.61940 | + | 15.5072i | −0.269774 | + | 1.15584i | ||||
\(181\) | −2.64028 | − | 14.4076i | −0.196251 | − | 1.07090i | −0.923231 | − | 0.384246i | \(-0.874461\pi\) |
0.726980 | − | 0.686659i | \(-0.240923\pi\) | |||||||
\(182\) | 1.54666 | + | 2.24072i | 0.114646 | + | 0.166093i | ||||
\(183\) | 1.69951 | + | 17.5011i | 0.125632 | + | 1.29372i | ||||
\(184\) | 4.89126 | + | 9.31952i | 0.360589 | + | 0.687044i | ||||
\(185\) | 27.1702 | + | 27.1702i | 1.99759 | + | 1.99759i | ||||
\(186\) | −3.96492 | + | 9.74209i | −0.290722 | + | 0.714325i | ||||
\(187\) | 1.09289 | + | 9.00073i | 0.0799198 | + | 0.658199i | ||||
\(188\) | −0.798095 | + | 6.57290i | −0.0582070 | + | 0.479378i | ||||
\(189\) | 5.88390 | − | 4.50002i | 0.427991 | − | 0.327328i | ||||
\(190\) | 7.75816 | + | 31.4761i | 0.562836 | + | 2.28352i | ||||
\(191\) | 2.14014 | + | 0.666895i | 0.154855 | + | 0.0482548i | 0.373951 | − | 0.927449i | \(-0.378003\pi\) |
−0.219095 | + | 0.975703i | \(0.570311\pi\) | |||||||
\(192\) | −1.04360 | − | 1.40008i | −0.0753152 | − | 0.101042i | ||||
\(193\) | 16.8692 | + | 6.39765i | 1.21427 | + | 0.460513i | 0.876815 | − | 0.480828i | \(-0.159664\pi\) |
0.337458 | + | 0.941341i | \(0.390433\pi\) | |||||||
\(194\) | −6.08194 | − | 11.5882i | −0.436658 | − | 0.831982i | ||||
\(195\) | 1.15895 | − | 7.94464i | 0.0829938 | − | 0.568928i | ||||
\(196\) | −2.14733 | + | 5.66204i | −0.153381 | + | 0.404432i | ||||
\(197\) | 10.0112 | − | 11.3003i | 0.713266 | − | 0.805110i | −0.274412 | − | 0.961612i | \(-0.588483\pi\) |
0.987678 | + | 0.156502i | \(0.0500217\pi\) | |||||||
\(198\) | −28.7868 | − | 3.13469i | −2.04579 | − | 0.222773i | ||||
\(199\) | 1.47146 | + | 5.96994i | 0.104309 | + | 0.423198i | 0.999759 | − | 0.0219647i | \(-0.00699215\pi\) |
−0.895450 | + | 0.445162i | \(0.853146\pi\) | |||||||
\(200\) | −8.02933 | + | 17.8404i | −0.567759 | + | 1.26151i | ||||
\(201\) | 1.97287 | − | 2.39725i | 0.139156 | − | 0.169089i | ||||
\(202\) | 6.35198 | + | 2.85880i | 0.446924 | + | 0.201144i | ||||
\(203\) | 5.07978 | − | 0.616796i | 0.356530 | − | 0.0432906i | ||||
\(204\) | 2.99998 | + | 1.91344i | 0.210041 | + | 0.133967i | ||||
\(205\) | −25.9082 | + | 9.82569i | −1.80951 | + | 0.686256i | ||||
\(206\) | −8.56981 | − | 7.59219i | −0.597087 | − | 0.528973i | ||||
\(207\) | 18.3847 | − | 13.0286i | 1.27783 | − | 0.905551i | ||||
\(208\) | 3.49566 | + | 3.94578i | 0.242380 | + | 0.273591i | ||||
\(209\) | −20.8730 | + | 7.91610i | −1.44382 | + | 0.547568i | ||||
\(210\) | −17.2913 | + | 8.55181i | −1.19321 | + | 0.590131i | ||||
\(211\) | −2.66149 | + | 2.08515i | −0.183225 | + | 0.143547i | −0.704140 | − | 0.710061i | \(-0.748667\pi\) |
0.520916 | + | 0.853608i | \(0.325591\pi\) | |||||||
\(212\) | −4.56766 | + | 5.83019i | −0.313708 | + | 0.400419i | ||||
\(213\) | −9.49949 | − | 7.81783i | −0.650894 | − | 0.535669i | ||||
\(214\) | 7.75531 | + | 5.35310i | 0.530142 | + | 0.365931i | ||||
\(215\) | −3.23844 | + | 26.6709i | −0.220859 | + | 1.81894i | ||||
\(216\) | 5.20833 | − | 5.08826i | 0.354382 | − | 0.346212i | ||||
\(217\) | −4.60659 | + | 1.43547i | −0.312715 | + | 0.0974461i | ||||
\(218\) | −2.20944 | − | 3.65486i | −0.149642 | − | 0.247538i | ||||
\(219\) | −5.59342 | − | 0.134410i | −0.377968 | − | 0.00908257i | ||||
\(220\) | 27.2634 | + | 8.49562i | 1.83810 | + | 0.572775i | ||||
\(221\) | −1.58854 | − | 0.833731i | −0.106857 | − | 0.0560828i | ||||
\(222\) | 5.92089 | + | 26.7746i | 0.397384 | + | 1.79700i | ||||
\(223\) | −17.6616 | + | 7.94883i | −1.18271 | + | 0.532293i | −0.903771 | − | 0.428017i | \(-0.859212\pi\) |
−0.278936 | + | 0.960310i | \(0.589982\pi\) | |||||||
\(224\) | 2.07499 | − | 8.41856i | 0.138641 | − | 0.562489i | ||||
\(225\) | 40.1391 | + | 11.9654i | 2.67594 | + | 0.797694i | ||||
\(226\) | 2.16056 | + | 0.972391i | 0.143719 | + | 0.0646825i | ||||
\(227\) | 8.48241 | − | 10.8270i | 0.562998 | − | 0.718613i | −0.418899 | − | 0.908033i | \(-0.637584\pi\) |
0.981896 | + | 0.189420i | \(0.0606607\pi\) | |||||||
\(228\) | −2.80656 | + | 8.29915i | −0.185869 | + | 0.549624i | ||||
\(229\) | −0.696379 | + | 3.80002i | −0.0460180 | + | 0.251112i | −0.998583 | − | 0.0532244i | \(-0.983050\pi\) |
0.952565 | + | 0.304337i | \(0.0984348\pi\) | |||||||
\(230\) | −53.5110 | + | 24.0833i | −3.52841 | + | 1.58801i | ||||
\(231\) | −7.28125 | − | 11.1105i | −0.479071 | − | 0.731015i | ||||
\(232\) | 4.88376 | − | 1.20374i | 0.320634 | − | 0.0790293i | ||||
\(233\) | −1.21116 | − | 9.97478i | −0.0793455 | − | 0.653469i | −0.977071 | − | 0.212914i | \(-0.931705\pi\) |
0.897725 | − | 0.440555i | \(-0.145218\pi\) | |||||||
\(234\) | 3.74616 | − | 4.33537i | 0.244894 | − | 0.283412i | ||||
\(235\) | 23.2651 | + | 4.26350i | 1.51765 | + | 0.278120i | ||||
\(236\) | 9.48319 | + | 1.73786i | 0.617303 | + | 0.113125i | ||||
\(237\) | −10.4853 | − | 7.61577i | −0.681094 | − | 0.494697i | ||||
\(238\) | 0.519574 | + | 4.27908i | 0.0336790 | + | 0.277371i | ||||
\(239\) | 11.3489 | − | 2.79724i | 0.734097 | − | 0.180939i | 0.145492 | − | 0.989359i | \(-0.453523\pi\) |
0.588605 | + | 0.808421i | \(0.299677\pi\) | |||||||
\(240\) | −31.2387 | + | 20.4723i | −2.01645 | + | 1.32148i | ||||
\(241\) | 11.6179 | − | 5.22881i | 0.748377 | − | 0.336817i | −8.06254e−5 | − | 1.00000i | \(-0.500026\pi\) |
0.748457 | + | 0.663183i | \(0.230795\pi\) | |||||||
\(242\) | −5.80294 | + | 31.6656i | −0.373027 | + | 2.03554i | ||||
\(243\) | −12.2777 | − | 9.60506i | −0.787617 | − | 0.616165i | ||||
\(244\) | 7.63175 | − | 9.74121i | 0.488573 | − | 0.623617i | ||||
\(245\) | 19.7262 | + | 8.87806i | 1.26026 | + | 0.567198i | ||||
\(246\) | −19.3591 | − | 4.03065i | −1.23429 | − | 0.256985i | ||||
\(247\) | 1.05709 | − | 4.28880i | 0.0672613 | − | 0.272890i | ||||
\(248\) | −4.32502 | + | 1.94653i | −0.274639 | + | 0.123605i | ||||
\(249\) | −7.64123 | + | 1.68977i | −0.484243 | + | 0.107085i | ||||
\(250\) | −61.9931 | − | 32.5365i | −3.92079 | − | 2.05779i | ||||
\(251\) | −14.1832 | − | 4.41965i | −0.895233 | − | 0.278966i | −0.184838 | − | 0.982769i | \(-0.559176\pi\) |
−0.710395 | + | 0.703803i | \(0.751484\pi\) | |||||||
\(252\) | −5.18254 | − | 0.564344i | −0.326469 | − | 0.0355503i | ||||
\(253\) | −20.9049 | − | 34.5810i | −1.31428 | − | 2.17409i | ||||
\(254\) | 34.7696 | − | 10.8346i | 2.18164 | − | 0.679826i | ||||
\(255\) | 7.46988 | − | 10.2845i | 0.467782 | − | 0.644038i | ||||
\(256\) | 2.48253 | − | 20.4455i | 0.155158 | − | 1.27784i | ||||
\(257\) | 22.4421 | + | 15.4907i | 1.39990 | + | 0.966283i | 0.998735 | + | 0.0502781i | \(0.0160108\pi\) |
0.401167 | + | 0.916005i | \(0.368605\pi\) | |||||||
\(258\) | −12.1837 | + | 14.8045i | −0.758527 | + | 0.921691i | ||||
\(259\) | −7.75794 | + | 9.90228i | −0.482055 | + | 0.615298i | ||||
\(260\) | −4.44790 | + | 3.48471i | −0.275847 | + | 0.216113i | ||||
\(261\) | −3.94277 | − | 10.0208i | −0.244052 | − | 0.620270i | ||||
\(262\) | −4.86881 | + | 1.84650i | −0.300796 | + | 0.114077i | ||||
\(263\) | 4.94578 | + | 5.58263i | 0.304970 | + | 0.344240i | 0.880937 | − | 0.473233i | \(-0.156913\pi\) |
−0.575968 | + | 0.817472i | \(0.695375\pi\) | |||||||
\(264\) | −8.42144 | − | 9.97888i | −0.518304 | − | 0.614157i | ||||
\(265\) | 19.8038 | + | 17.5446i | 1.21654 | + | 1.07776i | ||||
\(266\) | −9.92334 | + | 3.76343i | −0.608439 | + | 0.230750i | ||||
\(267\) | 0.740479 | − | 1.16096i | 0.0453166 | − | 0.0710496i | ||||
\(268\) | −2.16906 | + | 0.263372i | −0.132496 | + | 0.0160880i | ||||
\(269\) | −22.5664 | − | 10.1563i | −1.37590 | − | 0.619242i | −0.418555 | − | 0.908191i | \(-0.637463\pi\) |
−0.957345 | + | 0.288949i | \(0.906694\pi\) | |||||||
\(270\) | 26.5636 | + | 30.6979i | 1.61661 | + | 1.86822i | ||||
\(271\) | 2.32560 | − | 5.16726i | 0.141270 | − | 0.313889i | −0.827658 | − | 0.561233i | \(-0.810327\pi\) |
0.968928 | + | 0.247344i | \(0.0795579\pi\) | |||||||
\(272\) | 1.99728 | + | 8.10327i | 0.121103 | + | 0.491333i | ||||
\(273\) | 2.62768 | + | 0.0631431i | 0.159034 | + | 0.00382159i | ||||
\(274\) | 22.3982 | − | 25.2824i | 1.35313 | − | 1.52736i | ||||
\(275\) | 26.6349 | − | 70.2305i | 1.60615 | − | 4.23506i | ||||
\(276\) | −15.6921 | − | 2.28913i | −0.944556 | − | 0.137790i | ||||
\(277\) | 10.0883 | + | 19.2216i | 0.606146 | + | 1.15491i | 0.974322 | + | 0.225159i | \(0.0722901\pi\) |
−0.368176 | + | 0.929756i | \(0.620018\pi\) | |||||||
\(278\) | 3.64668 | + | 1.38300i | 0.218713 | + | 0.0829470i | ||||
\(279\) | 5.36008 | + | 8.62398i | 0.320899 | + | 0.516304i | ||||
\(280\) | −8.30474 | − | 2.58786i | −0.496303 | − | 0.154654i | ||||
\(281\) | −2.23737 | − | 9.07736i | −0.133470 | − | 0.541510i | −0.999162 | − | 0.0409323i | \(-0.986967\pi\) |
0.865692 | − | 0.500577i | \(-0.166879\pi\) | |||||||
\(282\) | 12.3620 | + | 11.4935i | 0.736146 | + | 0.684428i | ||||
\(283\) | 3.42987 | − | 28.2475i | 0.203885 | − | 1.67914i | −0.427766 | − | 0.903889i | \(-0.640699\pi\) |
0.631651 | − | 0.775253i | \(-0.282378\pi\) | |||||||
\(284\) | 1.04365 | + | 8.59524i | 0.0619293 | + | 0.510034i | ||||
\(285\) | 28.9873 | + | 11.7975i | 1.71706 | + | 0.698824i | ||||
\(286\) | −7.26553 | − | 7.26553i | −0.429620 | − | 0.429620i | ||||
\(287\) | −4.21564 | − | 8.03223i | −0.248841 | − | 0.474128i | ||||
\(288\) | −18.2451 | + | 0.225603i | −1.07510 | + | 0.0132938i | ||||
\(289\) | 8.04363 | + | 11.6532i | 0.473154 | + | 0.685483i | ||||
\(290\) | 5.05496 | + | 27.5840i | 0.296837 | + | 1.61979i | ||||
\(291\) | −12.5019 | − | 1.82375i | −0.732877 | − | 0.106910i | ||||
\(292\) | 2.78433 | + | 2.78433i | 0.162941 | + | 0.162941i | ||||
\(293\) | 20.9347 | − | 1.26632i | 1.22302 | − | 0.0739791i | 0.563789 | − | 0.825919i | \(-0.309343\pi\) |
0.659231 | + | 0.751940i | \(0.270882\pi\) | |||||||
\(294\) | 8.46181 | + | 12.9119i | 0.493503 | + | 0.753037i | ||||
\(295\) | 8.24217 | − | 33.4398i | 0.479878 | − | 1.94694i | ||||
\(296\) | −6.39693 | + | 10.5818i | −0.371814 | + | 0.615056i | ||||
\(297\) | −18.7802 | + | 20.7069i | −1.08974 | + | 1.20153i | ||||
\(298\) | −7.68918 | − | 8.67929i | −0.445422 | − | 0.502778i | ||||
\(299\) | 7.98100 | + | 0.482762i | 0.461553 | + | 0.0279188i | ||||
\(300\) | −14.6393 | − | 25.5851i | −0.845199 | − | 1.47716i | ||||
\(301\) | −8.79563 | −0.506972 | ||||||||
\(302\) | −12.2916 | −0.707304 | ||||||||
\(303\) | 5.83667 | − | 3.33962i | 0.335308 | − | 0.191856i | ||||
\(304\) | −18.1947 | + | 9.54931i | −1.04354 | + | 0.547691i | ||||
\(305\) | −33.0886 | − | 29.3139i | −1.89465 | − | 1.67851i | ||||
\(306\) | 8.44124 | − | 3.32129i | 0.482554 | − | 0.189866i | ||||
\(307\) | −9.35186 | − | 20.7790i | −0.533739 | − | 1.18592i | −0.959661 | − | 0.281159i | \(-0.909281\pi\) |
0.425922 | − | 0.904760i | \(-0.359950\pi\) | |||||||
\(308\) | −1.68516 | + | 9.19564i | −0.0960211 | + | 0.523970i | ||||
\(309\) | −10.7921 | + | 2.38655i | −0.613944 | + | 0.135766i | ||||
\(310\) | −9.37681 | − | 24.7246i | −0.532567 | − | 1.40426i | ||||
\(311\) | −0.234512 | − | 0.0889386i | −0.0132979 | − | 0.00504324i | 0.347947 | − | 0.937514i | \(-0.386879\pi\) |
−0.361245 | + | 0.932471i | \(0.617648\pi\) | |||||||
\(312\) | 2.57157 | − | 0.249722i | 0.145586 | − | 0.0141377i | ||||
\(313\) | 7.64939i | 0.432369i | 0.976353 | + | 0.216185i | \(0.0693613\pi\) | ||||
−0.976353 | + | 0.216185i | \(0.930639\pi\) | |||||||
\(314\) | 22.4789 | − | 0.280284i | 1.26856 | − | 0.0158173i | ||||
\(315\) | −3.13011 | + | 18.3579i | −0.176362 | + | 1.03435i | ||||
\(316\) | 1.64399 | + | 8.97097i | 0.0924817 | + | 0.504656i | ||||
\(317\) | −5.62993 | + | 14.8449i | −0.316208 | + | 0.833773i | 0.678831 | + | 0.734294i | \(0.262487\pi\) |
−0.995040 | + | 0.0994789i | \(0.968282\pi\) | |||||||
\(318\) | 5.18259 | + | 18.1562i | 0.290625 | + | 1.01815i | ||||
\(319\) | −18.4368 | + | 5.74514i | −1.03226 | + | 0.321666i | ||||
\(320\) | 4.31821 | + | 0.791342i | 0.241395 | + | 0.0442374i | ||||
\(321\) | 8.58111 | − | 3.02066i | 0.478951 | − | 0.168597i | ||||
\(322\) | −9.93851 | − | 16.4403i | −0.553851 | − | 0.916182i | ||||
\(323\) | 4.63734 | − | 5.23447i | 0.258028 | − | 0.291254i | ||||
\(324\) | 1.59126 | + | 10.8547i | 0.0884035 | + | 0.603040i | ||||
\(325\) | 8.44267 | + | 12.2313i | 0.468315 | + | 0.678472i | ||||
\(326\) | 19.0868i | 1.05712i | ||||||||
\(327\) | −4.10828 | − | 0.347733i | −0.227188 | − | 0.0192297i | ||||
\(328\) | −5.06530 | − | 7.33836i | −0.279685 | − | 0.405193i | ||||
\(329\) | −0.467532 | + | 7.72923i | −0.0257759 | + | 0.426126i | ||||
\(330\) | 58.3687 | − | 43.5073i | 3.21309 | − | 2.39500i | ||||
\(331\) | 9.08388 | + | 4.76759i | 0.499295 | + | 0.262050i | 0.695518 | − | 0.718509i | \(-0.255175\pi\) |
−0.196222 | + | 0.980559i | \(0.562867\pi\) | |||||||
\(332\) | 4.71331 | + | 2.84930i | 0.258677 | + | 0.156375i | ||||
\(333\) | 24.2726 | + | 10.5653i | 1.33013 | + | 0.578975i | ||||
\(334\) | 35.8651 | − | 28.0985i | 1.96245 | − | 1.53748i | ||||
\(335\) | 0.471276 | + | 7.79112i | 0.0257486 | + | 0.425674i | ||||
\(336\) | −7.88604 | − | 9.34447i | −0.430219 | − | 0.509782i | ||||
\(337\) | −12.1177 | − | 0.732983i | −0.660091 | − | 0.0399281i | −0.273063 | − | 0.961996i | \(-0.588037\pi\) |
−0.387028 | + | 0.922068i | \(0.626498\pi\) | |||||||
\(338\) | −20.9421 | + | 3.83778i | −1.13910 | + | 0.208748i | ||||
\(339\) | 1.98529 | − | 1.13594i | 0.107826 | − | 0.0616957i | ||||
\(340\) | −8.79912 | + | 1.61250i | −0.477199 | + | 0.0874500i | ||||
\(341\) | 16.1234 | − | 8.46220i | 0.873130 | − | 0.458254i | ||||
\(342\) | 12.9136 | + | 18.2225i | 0.698289 | + | 0.985360i | ||||
\(343\) | −5.07565 | + | 16.2883i | −0.274059 | + | 0.879488i | ||||
\(344\) | −8.58276 | + | 1.04214i | −0.462752 | + | 0.0561882i | ||||
\(345\) | −11.5471 | + | 55.4604i | −0.621673 | + | 2.98589i | ||||
\(346\) | 35.1813 | + | 27.5628i | 1.89136 | + | 1.48178i | ||||
\(347\) | −9.23472 | + | 2.27615i | −0.495746 | + | 0.122190i | −0.479259 | − | 0.877674i | \(-0.659094\pi\) |
−0.0164870 | + | 0.999864i | \(0.505248\pi\) | |||||||
\(348\) | −2.85686 | + | 7.01951i | −0.153144 | + | 0.376285i | ||||
\(349\) | −16.1390 | + | 14.2979i | −0.863900 | + | 0.765348i | −0.973514 | − | 0.228626i | \(-0.926577\pi\) |
0.109615 | + | 0.993974i | \(0.465038\pi\) | |||||||
\(350\) | 12.6626 | − | 33.3886i | 0.676845 | − | 1.78469i | ||||
\(351\) | −1.26103 | − | 5.38569i | −0.0673086 | − | 0.287467i | ||||
\(352\) | −1.97567 | + | 32.6617i | −0.105303 | + | 1.74087i | ||||
\(353\) | −23.6301 | − | 8.96173i | −1.25770 | − | 0.476985i | −0.366429 | − | 0.930446i | \(-0.619420\pi\) |
−0.891276 | + | 0.453461i | \(0.850189\pi\) | |||||||
\(354\) | 17.7920 | − | 16.9570i | 0.945635 | − | 0.901255i | ||||
\(355\) | 30.8735 | − | 1.86751i | 1.63860 | − | 0.0991169i | ||||
\(356\) | −0.940937 | + | 0.231920i | −0.0498696 | + | 0.0122917i | ||||
\(357\) | 3.63714 | + | 2.02182i | 0.192498 | + | 0.107006i | ||||
\(358\) | 28.1730 | + | 19.4464i | 1.48899 | + | 1.02777i | ||||
\(359\) | 6.61392 | − | 14.6955i | 0.349070 | − | 0.775601i | −0.650797 | − | 0.759252i | \(-0.725565\pi\) |
0.999866 | − | 0.0163488i | \(-0.00520422\pi\) | |||||||
\(360\) | −0.879258 | + | 18.2845i | −0.0463410 | + | 0.963676i | ||||
\(361\) | −1.57779 | − | 0.828087i | −0.0830415 | − | 0.0435835i | ||||
\(362\) | 9.31893 | + | 24.5720i | 0.489792 | + | 1.29148i | ||||
\(363\) | 21.4417 | + | 22.4975i | 1.12540 | + | 1.18081i | ||||
\(364\) | −1.30802 | − | 1.30802i | −0.0685590 | − | 0.0685590i | ||||
\(365\) | 10.5288 | − | 9.32766i | 0.551100 | − | 0.488232i | ||||
\(366\) | −8.65918 | − | 30.3357i | −0.452622 | − | 1.58567i | ||||
\(367\) | −14.1795 | − | 23.4558i | −0.740164 | − | 1.22438i | −0.968066 | − | 0.250697i | \(-0.919340\pi\) |
0.227901 | − | 0.973684i | \(-0.426814\pi\) | |||||||
\(368\) | −22.9389 | − | 29.2794i | −1.19577 | − | 1.52629i | ||||
\(369\) | −14.1314 | + | 12.8346i | −0.735650 | + | 0.668144i | ||||
\(370\) | −56.7359 | − | 39.1620i | −2.94956 | − | 2.03593i | ||||
\(371\) | −4.92038 | + | 7.12841i | −0.255454 | + | 0.370088i | ||||
\(372\) | 1.45661 | − | 6.99607i | 0.0755216 | − | 0.362729i | ||||
\(373\) | 10.6742 | − | 17.6573i | 0.552688 | − | 0.914258i | −0.447116 | − | 0.894476i | \(-0.647549\pi\) |
0.999804 | − | 0.0197824i | \(-0.00629733\pi\) | |||||||
\(374\) | −4.83956 | − | 15.5307i | −0.250248 | − | 0.803073i | ||||
\(375\) | −60.5847 | + | 29.9636i | −3.12858 | + | 1.54731i | ||||
\(376\) | 0.459568 | + | 7.59757i | 0.0237004 | + | 0.391815i | ||||
\(377\) | 1.13678 | − | 3.64805i | 0.0585471 | − | 0.187884i | ||||
\(378\) | −8.92836 | + | 9.84433i | −0.459225 | + | 0.506338i | ||||
\(379\) | 4.45606 | + | 14.3000i | 0.228892 | + | 0.734541i | 0.995698 | + | 0.0926616i | \(0.0295375\pi\) |
−0.766805 | + | 0.641880i | \(0.778155\pi\) | |||||||
\(380\) | −9.03948 | − | 20.0849i | −0.463715 | − | 1.03033i | ||||
\(381\) | 11.2630 | − | 33.3052i | 0.577020 | − | 1.70628i | ||||
\(382\) | −3.99251 | − | 0.484779i | −0.204275 | − | 0.0248034i | ||||
\(383\) | 6.13871 | − | 13.6397i | 0.313673 | − | 0.696954i | −0.685853 | − | 0.727740i | \(-0.740571\pi\) |
0.999526 | + | 0.0307869i | \(0.00980131\pi\) | |||||||
\(384\) | −13.1358 | − | 12.2130i | −0.670335 | − | 0.623242i | ||||
\(385\) | 32.4258 | + | 7.99225i | 1.65257 | + | 0.407323i | ||||
\(386\) | −31.8392 | − | 5.83474i | −1.62057 | − | 0.296981i | ||||
\(387\) | 4.65154 | + | 17.9158i | 0.236451 | + | 0.910709i | ||||
\(388\) | 5.48365 | + | 6.99936i | 0.278390 | + | 0.355339i | ||||
\(389\) | −3.70178 | − | 15.0187i | −0.187688 | − | 0.761478i | −0.987021 | − | 0.160591i | \(-0.948660\pi\) |
0.799334 | − | 0.600888i | \(-0.205186\pi\) | |||||||
\(390\) | 0.524071 | + | 14.3952i | 0.0265374 | + | 0.728929i | ||||
\(391\) | 10.8329 | + | 6.54873i | 0.547845 | + | 0.331184i | ||||
\(392\) | −1.25480 | + | 6.84721i | −0.0633769 | + | 0.345836i | ||||
\(393\) | −1.31994 | + | 4.85058i | −0.0665821 | + | 0.244680i | ||||
\(394\) | −14.0127 | + | 23.1799i | −0.705952 | + | 1.16779i | ||||
\(395\) | 32.3428 | − | 3.92712i | 1.62734 | − | 0.197595i | ||||
\(396\) | 19.6217 | − | 1.43059i | 0.986029 | − | 0.0718899i | ||||
\(397\) | −11.3617 | + | 8.90131i | −0.570226 | + | 0.446744i | −0.859958 | − | 0.510364i | \(-0.829511\pi\) |
0.289732 | + | 0.957108i | \(0.406434\pi\) | |||||||
\(398\) | −4.52747 | − | 10.0596i | −0.226942 | − | 0.504244i | ||||
\(399\) | −2.69022 | + | 9.88619i | −0.134680 | + | 0.494928i | ||||
\(400\) | 16.5458 | − | 67.1291i | 0.827292 | − | 3.35646i | ||||
\(401\) | −3.04503 | − | 2.38563i | −0.152062 | − | 0.119133i | 0.537805 | − | 0.843069i | \(-0.319254\pi\) |
−0.689866 | + | 0.723937i | \(0.742331\pi\) | |||||||
\(402\) | −2.70637 | + | 4.86861i | −0.134981 | + | 0.242824i | ||||
\(403\) | −0.434294 | + | 3.57673i | −0.0216337 | + | 0.178170i | ||||
\(404\) | −4.59505 | − | 1.13258i | −0.228612 | − | 0.0563478i | ||||
\(405\) | 39.0484 | − | 3.33280i | 1.94033 | − | 0.165608i | ||||
\(406\) | −8.76511 | + | 2.73132i | −0.435005 | + | 0.135553i | ||||
\(407\) | 22.0618 | − | 42.0352i | 1.09356 | − | 2.08361i | ||||
\(408\) | 3.78867 | + | 1.54195i | 0.187567 | + | 0.0763377i | ||||
\(409\) | 23.5629 | − | 1.42529i | 1.16511 | − | 0.0704761i | 0.533526 | − | 0.845784i | \(-0.320867\pi\) |
0.631584 | + | 0.775308i | \(0.282405\pi\) | |||||||
\(410\) | 42.5441 | − | 25.7188i | 2.10111 | − | 1.27016i | ||||
\(411\) | −7.04073 | − | 31.8386i | −0.347294 | − | 1.57048i | ||||
\(412\) | 6.65688 | + | 4.02422i | 0.327961 | + | 0.198259i | ||||
\(413\) | 11.1929 | + | 1.35907i | 0.550767 | + | 0.0668753i | ||||
\(414\) | −28.2312 | + | 28.9381i | −1.38749 | + | 1.42223i | ||||
\(415\) | 11.1765 | − | 16.1919i | 0.548631 | − | 0.794829i | ||||
\(416\) | −5.09663 | − | 3.99295i | −0.249883 | − | 0.195771i | ||||
\(417\) | 3.14913 | − | 2.06378i | 0.154214 | − | 0.101064i | ||||
\(418\) | 34.2758 | − | 20.7205i | 1.67649 | − | 1.01347i | ||||
\(419\) | −1.21701 | − | 3.20900i | −0.0594549 | − | 0.156770i | 0.901997 | − | 0.431741i | \(-0.142101\pi\) |
−0.961452 | + | 0.274972i | \(0.911331\pi\) | |||||||
\(420\) | 10.5082 | − | 7.83268i | 0.512748 | − | 0.382196i | ||||
\(421\) | −15.9265 | + | 15.9265i | −0.776210 | + | 0.776210i | −0.979184 | − | 0.202974i | \(-0.934939\pi\) |
0.202974 | + | 0.979184i | \(0.434939\pi\) | |||||||
\(422\) | 4.02255 | − | 4.54052i | 0.195815 | − | 0.221029i | ||||
\(423\) | 15.9909 | − | 3.13527i | 0.777503 | − | 0.152442i | ||||
\(424\) | −3.95671 | + | 7.53887i | −0.192155 | + | 0.366120i | ||||
\(425\) | 2.83618 | + | 23.3581i | 0.137575 | + | 1.13303i | ||||
\(426\) | 19.2926 | + | 10.7244i | 0.934731 | + | 0.519600i | ||||
\(427\) | 8.22108 | − | 11.9103i | 0.397846 | − | 0.576380i | ||||
\(428\) | −5.83834 | − | 2.62763i | −0.282207 | − | 0.127011i | ||||
\(429\) | −9.79703 | + | 1.55311i | −0.473005 | + | 0.0749849i | ||||
\(430\) | −2.91043 | − | 48.1151i | −0.140353 | − | 2.32032i | ||||
\(431\) | 3.96818 | + | 3.51550i | 0.191141 | + | 0.169336i | 0.753266 | − | 0.657717i | \(-0.228478\pi\) |
−0.562125 | + | 0.827052i | \(0.690016\pi\) | |||||||
\(432\) | −14.8632 | + | 21.0048i | −0.715104 | + | 1.01059i | ||||
\(433\) | 1.45441 | + | 0.0879756i | 0.0698945 | + | 0.00422784i | 0.0952887 | − | 0.995450i | \(-0.469623\pi\) |
−0.0253942 | + | 0.999678i | \(0.508084\pi\) | |||||||
\(434\) | 7.66528 | − | 4.02305i | 0.367945 | − | 0.193113i | ||||
\(435\) | 24.4136 | + | 11.7009i | 1.17054 | + | 0.561014i | ||||
\(436\) | 1.92414 | + | 2.17191i | 0.0921496 | + | 0.104015i | ||||
\(437\) | −9.27225 | + | 29.7557i | −0.443552 | + | 1.42341i | ||||
\(438\) | 9.91452 | − | 1.57174i | 0.473734 | − | 0.0751004i | ||||
\(439\) | 9.28948 | − | 11.8571i | 0.443363 | − | 0.565911i | −0.512889 | − | 0.858455i | \(-0.671425\pi\) |
0.956252 | + | 0.292544i | \(0.0945018\pi\) | |||||||
\(440\) | 32.5880 | + | 3.95690i | 1.55357 | + | 0.188638i | ||||
\(441\) | 14.8861 | + | 0.715838i | 0.708861 | + | 0.0340875i | ||||
\(442\) | 3.07303 | + | 0.957595i | 0.146169 | + | 0.0455481i | ||||
\(443\) | −16.1312 | + | 16.1312i | −0.766415 | + | 0.766415i | −0.977474 | − | 0.211058i | \(-0.932309\pi\) |
0.211058 | + | 0.977474i | \(0.432309\pi\) | |||||||
\(444\) | −7.23588 | − | 17.1680i | −0.343400 | − | 0.814756i | ||||
\(445\) | 0.624020 | + | 3.40516i | 0.0295814 | + | 0.161420i | ||||
\(446\) | 28.5978 | − | 19.7396i | 1.35414 | − | 0.934698i | ||||
\(447\) | −11.1417 | + | 1.08195i | −0.526983 | + | 0.0511746i | ||||
\(448\) | −0.0867781 | + | 1.43461i | −0.00409988 | + | 0.0677791i | ||||
\(449\) | 1.66318 | − | 1.66318i | 0.0784905 | − | 0.0784905i | −0.666772 | − | 0.745262i | \(-0.732324\pi\) |
0.745262 | + | 0.666772i | \(0.232324\pi\) | |||||||
\(450\) | −74.7055 | − | 8.13493i | −3.52165 | − | 0.383484i | ||||
\(451\) | 21.1127 | + | 26.9483i | 0.994157 | + | 1.26895i | ||||
\(452\) | −1.56296 | − | 0.385235i | −0.0735155 | − | 0.0181199i | ||||
\(453\) | −6.97343 | + | 9.60094i | −0.327640 | + | 0.451092i | ||||
\(454\) | −11.4679 | + | 21.8503i | −0.538217 | + | 1.02549i | ||||
\(455\) | −4.94620 | + | 4.38195i | −0.231881 | + | 0.205429i | ||||
\(456\) | −1.45377 | + | 9.96567i | −0.0680790 | + | 0.466685i | ||||
\(457\) | 3.58383 | − | 2.47374i | 0.167644 | − | 0.115717i | −0.481288 | − | 0.876562i | \(-0.659831\pi\) |
0.648933 | + | 0.760846i | \(0.275216\pi\) | |||||||
\(458\) | − | 6.93133i | − | 0.323880i | ||||||
\(459\) | 2.19473 | − | 8.47769i | 0.102441 | − | 0.395705i | ||||
\(460\) | 32.8112 | − | 22.6479i | 1.52983 | − | 1.05597i | ||||
\(461\) | 3.22663 | + | 6.14783i | 0.150279 | + | 0.286333i | 0.948945 | − | 0.315442i | \(-0.102153\pi\) |
−0.798666 | + | 0.601775i | \(0.794460\pi\) | |||||||
\(462\) | 16.4428 | + | 17.2525i | 0.764990 | + | 0.802660i | ||||
\(463\) | −24.9738 | + | 15.0972i | −1.16063 | + | 0.701626i | −0.960537 | − | 0.278151i | \(-0.910278\pi\) |
−0.200093 | + | 0.979777i | \(0.564124\pi\) | |||||||
\(464\) | −16.2094 | + | 7.29527i | −0.752503 | + | 0.338674i | ||||
\(465\) | −24.6320 | − | 6.70286i | −1.14228 | − | 0.310838i | ||||
\(466\) | 5.36329 | + | 17.2114i | 0.248450 | + | 0.797303i | ||||
\(467\) | −28.3566 | + | 10.7543i | −1.31219 | + | 0.497648i | −0.908743 | − | 0.417356i | \(-0.862957\pi\) |
−0.403446 | + | 0.915004i | \(0.632188\pi\) | |||||||
\(468\) | −1.97256 | + | 3.35605i | −0.0911815 | + | 0.155133i | ||||
\(469\) | −2.51346 | + | 0.460608i | −0.116061 | + | 0.0212689i | ||||
\(470\) | −42.4362 | −1.95744 | ||||||||
\(471\) | 12.5340 | − | 17.7172i | 0.577538 | − | 0.816364i | ||||
\(472\) | 11.0831 | 0.510139 | ||||||||
\(473\) | 32.6498 | − | 5.98330i | 1.50124 | − | 0.275112i | ||||
\(474\) | 20.9670 | + | 10.0490i | 0.963048 | + | 0.461567i | ||||
\(475\) | −54.1682 | + | 20.5433i | −2.48541 | + | 0.942591i | ||||
\(476\) | −0.871273 | − | 2.79601i | −0.0399347 | − | 0.128155i | ||||
\(477\) | 17.1219 | + | 6.25246i | 0.783959 | + | 0.286280i | ||||
\(478\) | −19.1234 | + | 8.60674i | −0.874684 | + | 0.393663i | ||||
\(479\) | −28.2948 | + | 17.1048i | −1.29282 | + | 0.781538i | −0.985436 | − | 0.170046i | \(-0.945608\pi\) |
−0.307386 | + | 0.951585i | \(0.599454\pi\) | |||||||
\(480\) | 33.2068 | − | 31.6483i | 1.51568 | − | 1.44454i | ||||
\(481\) | 4.36532 | + | 8.31742i | 0.199041 | + | 0.379241i | ||||
\(482\) | −18.8118 | + | 12.9849i | −0.856856 | + | 0.591445i | ||||
\(483\) | −18.4799 | − | 1.56417i | −0.840863 | − | 0.0711722i | ||||
\(484\) | − | 21.8723i | − | 0.994197i | ||||||
\(485\) | 26.1407 | − | 18.0436i | 1.18699 | − | 0.819318i | ||||
\(486\) | 24.7736 | + | 12.9800i | 1.12375 | + | 0.588783i | ||||
\(487\) | −22.0428 | + | 19.5282i | −0.998854 | + | 0.884907i | −0.993357 | − | 0.115077i | \(-0.963288\pi\) |
−0.00549752 | + | 0.999985i | \(0.501750\pi\) | |||||||
\(488\) | 6.61095 | − | 12.5961i | 0.299264 | − | 0.570199i | ||||
\(489\) | 14.9086 | + | 10.8286i | 0.674192 | + | 0.489684i | ||||
\(490\) | −37.6833 | − | 9.28810i | −1.70236 | − | 0.419593i | ||||
\(491\) | 4.95326 | + | 6.32237i | 0.223538 | + | 0.285325i | 0.885917 | − | 0.463844i | \(-0.153530\pi\) |
−0.662379 | + | 0.749169i | \(0.730453\pi\) | |||||||
\(492\) | 13.4311 | + | 0.322748i | 0.605519 | + | 0.0145506i | ||||
\(493\) | 4.27762 | − | 4.27762i | 0.192654 | − | 0.192654i | ||||
\(494\) | −0.478501 | + | 7.91057i | −0.0215288 | + | 0.355913i | ||||
\(495\) | −0.868957 | − | 70.2746i | −0.0390567 | − | 3.15861i | ||||
\(496\) | 13.7940 | − | 9.52134i | 0.619371 | − | 0.427521i | ||||
\(497\) | 1.82523 | + | 9.95996i | 0.0818728 | + | 0.446765i | ||||
\(498\) | 12.9385 | − | 5.45324i | 0.579786 | − | 0.244366i | ||||
\(499\) | −10.5005 | + | 10.5005i | −0.470069 | + | 0.470069i | −0.901937 | − | 0.431868i | \(-0.857855\pi\) |
0.431868 | + | 0.901937i | \(0.357855\pi\) | |||||||
\(500\) | 45.4138 | + | 14.1515i | 2.03097 | + | 0.632875i | ||||
\(501\) | −1.60023 | − | 43.9552i | −0.0714931 | − | 1.96378i | ||||
\(502\) | 26.4592 | + | 3.21273i | 1.18093 | + | 0.143391i | ||||
\(503\) | −8.51880 | + | 10.8734i | −0.379834 | + | 0.484823i | −0.938846 | − | 0.344337i | \(-0.888104\pi\) |
0.559012 | + | 0.829160i | \(0.311181\pi\) | |||||||
\(504\) | −5.97700 | + | 0.435775i | −0.266237 | + | 0.0194109i | ||||
\(505\) | −5.02958 | + | 16.1405i | −0.223813 | + | 0.718242i | ||||
\(506\) | 48.0759 | + | 54.2664i | 2.13723 | + | 2.41244i | ||||
\(507\) | −8.88343 | + | 18.5351i | −0.394527 | + | 0.823171i | ||||
\(508\) | −21.9091 | + | 11.4988i | −0.972060 | + | 0.510176i | ||||
\(509\) | 0.809067 | + | 0.0489396i | 0.0358613 | + | 0.00216921i | 0.0782994 | − | 0.996930i | \(-0.475051\pi\) |
−0.0424381 | + | 0.999099i | \(0.513513\pi\) | |||||||
\(510\) | −9.85652 | + | 20.5654i | −0.436454 | + | 0.910651i | ||||
\(511\) | 3.44689 | + | 3.05368i | 0.152482 | + | 0.135087i | ||||
\(512\) | 0.980588 | + | 16.2111i | 0.0433363 | + | 0.716434i | ||||
\(513\) | 21.5598 | + | 0.251417i | 0.951889 | + | 0.0111003i | ||||
\(514\) | −44.6148 | − | 20.0795i | −1.96787 | − | 0.885668i | ||||
\(515\) | 15.7852 | − | 22.8688i | 0.695577 | − | 1.00772i | ||||
\(516\) | 6.32914 | − | 11.3858i | 0.278625 | − | 0.501231i | ||||
\(517\) | −3.52237 | − | 29.0093i | −0.154914 | − | 1.27583i | ||||
\(518\) | 10.4885 | − | 19.9841i | 0.460837 | − | 0.878051i | ||||
\(519\) | 41.4886 | − | 11.8427i | 1.82115 | − | 0.519838i | ||||
\(520\) | −4.30731 | + | 4.86195i | −0.188888 | + | 0.213210i | ||||
\(521\) | −12.8121 | + | 12.8121i | −0.561307 | + | 0.561307i | −0.929679 | − | 0.368372i | \(-0.879915\pi\) |
0.368372 | + | 0.929679i | \(0.379915\pi\) | |||||||
\(522\) | 10.1988 | + | 16.4091i | 0.446390 | + | 0.718209i | ||||
\(523\) | −7.03789 | − | 18.5574i | −0.307745 | − | 0.811458i | −0.996274 | − | 0.0862483i | \(-0.972512\pi\) |
0.688528 | − | 0.725209i | \(-0.258257\pi\) | |||||||
\(524\) | 3.02762 | − | 1.83026i | 0.132262 | − | 0.0799553i | ||||
\(525\) | −18.8958 | − | 28.8331i | −0.824679 | − | 1.25838i | ||||
\(526\) | −10.5336 | − | 8.25252i | −0.459285 | − | 0.359827i | ||||
\(527\) | −3.24037 | + | 4.69449i | −0.141153 | + | 0.204495i | ||||
\(528\) | 35.6300 | + | 29.3226i | 1.55060 | + | 1.27610i | ||||
\(529\) | −33.1723 | − | 4.02785i | −1.44227 | − | 0.175124i | ||||
\(530\) | −40.6230 | − | 24.5574i | −1.76455 | − | 1.06671i | ||||
\(531\) | −3.15107 | − | 23.5175i | −0.136745 | − | 1.02057i | ||||
\(532\) | 6.17073 | − | 3.73033i | 0.267535 | − | 0.161730i | ||||
\(533\) | −6.76143 | + | 0.408991i | −0.292870 | + | 0.0177154i | ||||
\(534\) | −0.931309 | + | 2.28829i | −0.0403017 | + | 0.0990240i | ||||
\(535\) | −10.6287 | + | 20.2513i | −0.459519 | + | 0.875540i | ||||
\(536\) | −2.39805 | + | 0.747263i | −0.103580 | + | 0.0322769i | ||||
\(537\) | 31.1729 | − | 10.9732i | 1.34521 | − | 0.473530i | ||||
\(538\) | 43.1090 | + | 10.6254i | 1.85856 | + | 0.458094i | ||||
\(539\) | 3.22147 | − | 26.5312i | 0.138758 | − | 1.14278i | ||||
\(540\) | −21.5116 | − | 17.2618i | −0.925711 | − | 0.742830i | ||||
\(541\) | −10.5867 | − | 8.29411i | −0.455156 | − | 0.356592i | 0.362806 | − | 0.931865i | \(-0.381819\pi\) |
−0.817961 | + | 0.575273i | \(0.804896\pi\) | |||||||
\(542\) | −2.43300 | + | 9.87109i | −0.104506 | + | 0.423999i | ||||
\(543\) | 24.4800 | + | 6.66149i | 1.05054 | + | 0.285872i | ||||
\(544\) | −4.20688 | − | 9.34731i | −0.180369 | − | 0.400763i | ||||
\(545\) | 8.15947 | − | 6.39254i | 0.349513 | − | 0.273826i | ||||
\(546\) | −4.65765 | + | 0.738371i | −0.199329 | + | 0.0315993i | ||||
\(547\) | 13.7077 | − | 1.66442i | 0.586101 | − | 0.0711655i | 0.177885 | − | 0.984051i | \(-0.443074\pi\) |
0.408215 | + | 0.912886i | \(0.366151\pi\) | |||||||
\(548\) | −11.8721 | + | 19.6389i | −0.507152 | + | 0.838932i | ||||
\(549\) | −28.6077 | − | 10.4467i | −1.22095 | − | 0.445856i | ||||
\(550\) | −24.2914 | + | 132.554i | −1.03579 | + | 5.65211i | ||||
\(551\) | 12.7465 | + | 7.70552i | 0.543019 | + | 0.328266i | ||||
\(552\) | −18.2180 | + | 0.663242i | −0.775408 | + | 0.0282295i | ||||
\(553\) | 2.55257 | + | 10.3562i | 0.108546 | + | 0.440389i | ||||
\(554\) | −24.0198 | − | 30.6590i | −1.02050 | − | 1.30257i | ||||
\(555\) | −62.7773 | + | 22.0984i | −2.66475 | + | 0.938023i | ||||
\(556\) | −2.60640 | − | 0.477640i | −0.110536 | − | 0.0202564i | ||||
\(557\) | −16.3029 | − | 4.01831i | −0.690776 | − | 0.170261i | −0.121726 | − | 0.992564i | \(-0.538843\pi\) |
−0.569050 | + | 0.822303i | \(0.692689\pi\) | |||||||
\(558\) | −12.2483 | − | 13.4858i | −0.518511 | − | 0.570899i | ||||
\(559\) | −2.69557 | + | 5.98930i | −0.114010 | + | 0.253320i | ||||
\(560\) | 30.5162 | + | 3.70534i | 1.28955 | + | 0.156579i | ||||
\(561\) | −14.8766 | − | 5.03089i | −0.628090 | − | 0.212404i | ||||
\(562\) | 6.88408 | + | 15.2958i | 0.290387 | + | 0.645214i | ||||
\(563\) | −4.96886 | − | 15.9456i | −0.209413 | − | 0.672029i | −0.998343 | − | 0.0575460i | \(-0.981672\pi\) |
0.788930 | − | 0.614483i | \(-0.210635\pi\) | |||||||
\(564\) | −9.66892 | − | 6.16700i | −0.407135 | − | 0.259677i | ||||
\(565\) | −1.71076 | + | 5.49003i | −0.0719723 | + | 0.230967i | ||||
\(566\) | 3.08248 | + | 50.9594i | 0.129566 | + | 2.14198i | ||||
\(567\) | 2.62403 | + | 12.5589i | 0.110199 | + | 0.527424i | ||||
\(568\) | 2.96115 | + | 9.50266i | 0.124247 | + | 0.398723i | ||||
\(569\) | −5.92882 | + | 9.80746i | −0.248549 | + | 0.411150i | −0.954997 | − | 0.296614i | \(-0.904142\pi\) |
0.706448 | + | 0.707765i | \(0.250296\pi\) | |||||||
\(570\) | −54.9710 | − | 11.4452i | −2.30248 | − | 0.479385i | ||||
\(571\) | −0.385109 | + | 0.557926i | −0.0161163 | + | 0.0233485i | −0.830959 | − | 0.556333i | \(-0.812208\pi\) |
0.814843 | + | 0.579682i | \(0.196823\pi\) | |||||||
\(572\) | 5.74524 | + | 3.96565i | 0.240221 | + | 0.165812i | ||||
\(573\) | −2.64374 | + | 2.84350i | −0.110444 | + | 0.118789i | ||||
\(574\) | 10.0373 | + | 12.8116i | 0.418947 | + | 0.534746i | ||||
\(575\) | −54.2510 | − | 89.7421i | −2.26242 | − | 3.74250i | ||||
\(576\) | 2.96804 | − | 0.581933i | 0.123668 | − | 0.0242472i | ||||
\(577\) | 1.18383 | − | 1.04878i | 0.0492834 | − | 0.0436613i | −0.638122 | − | 0.769936i | \(-0.720288\pi\) |
0.687405 | + | 0.726274i | \(0.258750\pi\) | |||||||
\(578\) | −17.9638 | − | 17.9638i | −0.747194 | − | 0.747194i | ||||
\(579\) | −22.6208 | + | 21.5592i | −0.940090 | + | 0.895970i | ||||
\(580\) | −6.75631 | − | 17.8149i | −0.280541 | − | 0.739725i | ||||
\(581\) | 5.70328 | + | 2.99331i | 0.236612 | + | 0.124183i | ||||
\(582\) | 22.6527 | − | 0.824695i | 0.938986 | − | 0.0341847i | ||||
\(583\) | 13.4156 | − | 29.8081i | 0.555615 | − | 1.23453i | ||||
\(584\) | 3.72528 | + | 2.57138i | 0.154153 | + | 0.106404i | ||||
\(585\) | 11.5413 | + | 7.75750i | 0.477176 | + | 0.320733i | ||||
\(586\) | −36.5353 | + | 9.00513i | −1.50926 | + | 0.371999i | ||||
\(587\) | 19.9059 | − | 1.20408i | 0.821603 | − | 0.0496978i | 0.355774 | − | 0.934572i | \(-0.384217\pi\) |
0.465830 | + | 0.884874i | \(0.345756\pi\) | |||||||
\(588\) | −7.23620 | − | 7.59254i | −0.298416 | − | 0.313111i | ||||
\(589\) | −13.1319 | − | 4.98027i | −0.541090 | − | 0.205208i | ||||
\(590\) | −3.73088 | + | 61.6788i | −0.153598 | + | 2.53928i | ||||
\(591\) | 10.1559 | + | 24.0960i | 0.417756 | + | 0.991176i | ||||
\(592\) | 15.4954 | − | 40.8579i | 0.636855 | − | 1.67925i | ||||
\(593\) | 14.6461 | − | 12.9753i | 0.601444 | − | 0.532833i | −0.306529 | − | 0.951861i | \(-0.599168\pi\) |
0.907973 | + | 0.419028i | \(0.137629\pi\) | |||||||
\(594\) | 26.4458 | − | 42.6162i | 1.08508 | − | 1.74857i | ||||
\(595\) | −10.1578 | + | 2.50367i | −0.416429 | + | 0.102641i | ||||
\(596\) | 6.20150 | + | 4.85857i | 0.254023 | + | 0.199015i | ||||
\(597\) | −10.4261 | − | 2.17075i | −0.426712 | − | 0.0888431i | ||||
\(598\) | −14.2407 | + | 1.72913i | −0.582345 | + | 0.0707095i | ||||
\(599\) | 6.64884 | − | 21.3369i | 0.271664 | − | 0.871801i | −0.713569 | − | 0.700584i | \(-0.752923\pi\) |
0.985234 | − | 0.171216i | \(-0.0547696\pi\) | |||||||
\(600\) | −21.8547 | − | 25.8965i | −0.892215 | − | 1.05722i | ||||
\(601\) | 11.3203 | − | 5.94133i | 0.461763 | − | 0.242352i | −0.217766 | − | 0.976001i | \(-0.569877\pi\) |
0.679528 | + | 0.733649i | \(0.262184\pi\) | |||||||
\(602\) | 15.5222 | − | 2.84455i | 0.632637 | − | 0.115935i | ||||
\(603\) | 2.26744 | + | 4.87605i | 0.0923374 | + | 0.198568i | ||||
\(604\) | 8.21432 | − | 1.50533i | 0.334236 | − | 0.0612510i | ||||
\(605\) | −77.9912 | − | 4.71760i | −3.17079 | − | 0.191798i | ||||
\(606\) | −9.22028 | + | 7.78124i | −0.374548 | + | 0.316091i | ||||
\(607\) | 0.676292 | + | 11.1804i | 0.0274499 | + | 0.453800i | 0.985770 | + | 0.168102i | \(0.0537639\pi\) |
−0.958320 | + | 0.285698i | \(0.907775\pi\) | |||||||
\(608\) | 19.8667 | − | 15.5646i | 0.805702 | − | 0.631227i | ||||
\(609\) | −2.83930 | + | 8.39595i | −0.115054 | + | 0.340221i | ||||
\(610\) | 67.8737 | + | 41.0311i | 2.74813 | + | 1.66130i | ||||
\(611\) | 5.11986 | + | 2.68711i | 0.207128 | + | 0.108709i | ||||
\(612\) | −5.23441 | + | 3.25335i | −0.211588 | + | 0.131509i | ||||
\(613\) | −1.61694 | + | 26.7313i | −0.0653077 | + | 1.07967i | 0.806950 | + | 0.590619i | \(0.201116\pi\) |
−0.872258 | + | 0.489046i | \(0.837345\pi\) | |||||||
\(614\) | 23.2238 | + | 33.6455i | 0.937237 | + | 1.35782i | ||||
\(615\) | 4.04775 | − | 47.8221i | 0.163221 | − | 1.92837i | ||||
\(616\) | 10.7470i | 0.433009i | ||||||||
\(617\) | 15.6227 | + | 22.6333i | 0.628945 | + | 0.911184i | 0.999847 | − | 0.0174878i | \(-0.00556683\pi\) |
−0.370902 | + | 0.928672i | \(0.620951\pi\) | |||||||
\(618\) | 18.2737 | − | 7.70193i | 0.735077 | − | 0.309817i | ||||
\(619\) | −25.4250 | + | 28.6989i | −1.02192 | + | 1.15351i | −0.0338599 | + | 0.999427i | \(0.510780\pi\) |
−0.988058 | + | 0.154081i | \(0.950758\pi\) | |||||||
\(620\) | 9.29435 | + | 15.3747i | 0.373270 | + | 0.617464i | ||||
\(621\) | 6.58698 | + | 38.4687i | 0.264326 | + | 1.54370i | ||||
\(622\) | 0.442620 | + | 0.0811132i | 0.0177475 | + | 0.00325234i | ||||
\(623\) | −1.08203 | + | 0.337173i | −0.0433505 | + | 0.0135086i | ||||
\(624\) | −8.77984 | + | 2.50616i | −0.351475 | + | 0.100327i | ||||
\(625\) | 35.5017 | − | 93.6104i | 1.42007 | − | 3.74442i | ||||
\(626\) | −2.47385 | − | 13.4993i | −0.0988748 | − | 0.539542i | ||||
\(627\) | 3.26109 | − | 38.5281i | 0.130235 | − | 1.53866i | ||||
\(628\) | −14.9880 | + | 2.94025i | −0.598086 | + | 0.117329i | ||||
\(629\) | 14.8715i | 0.592964i | ||||||||
\(630\) | −0.413114 | − | 33.4095i | −0.0164589 | − | 1.33107i | ||||
\(631\) | −5.14514 | − | 1.95129i | −0.204825 | − | 0.0776798i | 0.250059 | − | 0.968231i | \(-0.419550\pi\) |
−0.454884 | + | 0.890551i | \(0.650319\pi\) | |||||||
\(632\) | 3.71783 | + | 9.80311i | 0.147887 | + | 0.389947i | ||||
\(633\) | −1.26446 | − | 5.71797i | −0.0502579 | − | 0.227269i | ||||
\(634\) | 5.13457 | − | 28.0185i | 0.203920 | − | 1.11276i | ||||
\(635\) | 36.2762 | + | 80.6024i | 1.43958 | + | 3.19861i | ||||
\(636\) | −5.68699 | − | 11.4988i | −0.225504 | − | 0.455957i | ||||
\(637\) | 3.95830 | + | 3.50674i | 0.156833 | + | 0.138942i | ||||
\(638\) | 30.6785 | − | 16.1013i | 1.21457 | − | 0.637458i | ||||
\(639\) | 19.3221 | − | 8.98510i | 0.764371 | − | 0.355445i | ||||
\(640\) | 45.0927 | 1.78245 | ||||||||
\(641\) | −33.3219 | −1.31614 | −0.658069 | − | 0.752958i | \(-0.728626\pi\) | ||||
−0.658069 | + | 0.752958i | \(0.728626\pi\) | |||||||
\(642\) | −14.1667 | + | 8.10590i | −0.559116 | + | 0.319914i | ||||
\(643\) | −4.28778 | − | 0.259363i | −0.169094 | − | 0.0102283i | −0.0243852 | − | 0.999703i | \(-0.507763\pi\) |
−0.144708 | + | 0.989474i | \(0.546224\pi\) | |||||||
\(644\) | 8.65517 | + | 9.76967i | 0.341061 | + | 0.384979i | ||||
\(645\) | −39.2337 | − | 25.0239i | −1.54482 | − | 0.985314i | ||||
\(646\) | −6.49094 | + | 10.7373i | −0.255383 | + | 0.422454i | ||||
\(647\) | −10.5362 | + | 42.7470i | −0.414221 | + | 1.68056i | 0.279365 | + | 0.960185i | \(0.409876\pi\) |
−0.693586 | + | 0.720374i | \(0.743970\pi\) | |||||||
\(648\) | 4.04855 | + | 11.9441i | 0.159042 | + | 0.469207i | ||||
\(649\) | −42.4732 | + | 2.56915i | −1.66722 | + | 0.100848i | ||||
\(650\) | −18.8550 | − | 18.8550i | −0.739553 | − | 0.739553i | ||||
\(651\) | 1.20637 | − | 8.26972i | 0.0472813 | − | 0.324116i | ||||
\(652\) | −2.33752 | − | 12.7555i | −0.0915445 | − | 0.499542i | ||||
\(653\) | 11.5782 | + | 16.7739i | 0.453088 | + | 0.656412i | 0.981252 | − | 0.192731i | \(-0.0617345\pi\) |
−0.528163 | + | 0.849143i | \(0.677119\pi\) | |||||||
\(654\) | 7.36259 | − | 0.714971i | 0.287900 | − | 0.0279576i | ||||
\(655\) | −5.87322 | − | 11.1905i | −0.229486 | − | 0.437248i | ||||
\(656\) | 22.2819 | + | 22.2819i | 0.869962 | + | 0.869962i | ||||
\(657\) | 4.39714 | − | 8.63588i | 0.171549 | − | 0.336918i | ||||
\(658\) | −1.67458 | − | 13.7914i | −0.0652821 | − | 0.537646i | ||||
\(659\) | −2.81778 | + | 23.2065i | −0.109765 | + | 0.903998i | 0.828954 | + | 0.559316i | \(0.188936\pi\) |
−0.938720 | + | 0.344682i | \(0.887987\pi\) | |||||||
\(660\) | −33.6787 | + | 36.2236i | −1.31094 | + | 1.41000i | ||||
\(661\) | −4.82341 | − | 19.5694i | −0.187609 | − | 0.761159i | −0.987050 | − | 0.160415i | \(-0.948717\pi\) |
0.799441 | − | 0.600745i | \(-0.205129\pi\) | |||||||
\(662\) | −17.5727 | − | 5.47589i | −0.682984 | − | 0.212826i | ||||
\(663\) | 2.49140 | − | 1.85706i | 0.0967579 | − | 0.0721221i | ||||
\(664\) | 5.91991 | + | 2.24513i | 0.229737 | + | 0.0871278i | ||||
\(665\) | −11.9705 | − | 22.8078i | −0.464195 | − | 0.884449i | ||||
\(666\) | −46.2523 | − | 10.7953i | −1.79224 | − | 0.418311i | ||||
\(667\) | −9.56050 | + | 25.2090i | −0.370184 | + | 0.976095i | ||||
\(668\) | −20.5270 | + | 23.1702i | −0.794212 | + | 0.896480i | ||||
\(669\) | 0.805881 | − | 33.5365i | 0.0311572 | − | 1.29660i | ||||
\(670\) | −3.35137 | − | 13.5970i | −0.129475 | − | 0.525300i | ||||
\(671\) | −22.4150 | + | 49.8041i | −0.865321 | + | 1.92266i | ||||
\(672\) | 11.5958 | + | 9.54306i | 0.447319 | + | 0.368132i | ||||
\(673\) | −28.5561 | − | 12.8520i | −1.10076 | − | 0.495410i | −0.223145 | − | 0.974785i | \(-0.571632\pi\) |
−0.877610 | + | 0.479375i | \(0.840863\pi\) | |||||||
\(674\) | 21.6218 | − | 2.62536i | 0.832841 | − | 0.101125i | ||||
\(675\) | −48.7369 | + | 53.7369i | −1.87588 | + | 2.06834i | ||||
\(676\) | 13.5253 | − | 5.12947i | 0.520204 | − | 0.197287i | ||||
\(677\) | −7.32336 | − | 6.48793i | −0.281459 | − | 0.249351i | 0.510567 | − | 0.859838i | \(-0.329435\pi\) |
−0.792027 | + | 0.610487i | \(0.790974\pi\) | |||||||
\(678\) | −3.13619 | + | 2.64671i | −0.120444 | + | 0.101646i | ||||
\(679\) | 6.89558 | + | 7.78350i | 0.264628 | + | 0.298703i | ||||
\(680\) | −9.61532 | + | 3.64661i | −0.368731 | + | 0.139841i | ||||
\(681\) | 10.5611 | + | 21.3539i | 0.404701 | + | 0.818284i | ||||
\(682\) | −25.7172 | + | 20.1481i | −0.984762 | + | 0.771512i | ||||
\(683\) | 23.9977 | − | 30.6307i | 0.918245 | − | 1.17205i | −0.0664543 | − | 0.997789i | \(-0.521169\pi\) |
0.984699 | − | 0.174263i | \(-0.0557544\pi\) | |||||||
\(684\) | −10.8617 | − | 10.5963i | −0.415306 | − | 0.405161i | ||||
\(685\) | 67.4666 | + | 46.5688i | 2.57777 | + | 1.77930i | ||||
\(686\) | 3.68959 | − | 30.3865i | 0.140869 | − | 1.16016i | ||||
\(687\) | −5.41403 | − | 3.93236i | −0.206558 | − | 0.150029i | ||||
\(688\) | 29.1703 | − | 9.08984i | 1.11211 | − | 0.346547i | ||||
\(689\) | 3.34609 | + | 5.53511i | 0.127476 | + | 0.210871i | ||||
\(690\) | 2.44166 | − | 101.609i | 0.0929523 | − | 3.86818i | ||||
\(691\) | 36.4500 | + | 11.3583i | 1.38662 | + | 0.432089i | 0.897842 | − | 0.440318i | \(-0.145134\pi\) |
0.488780 | + | 0.872407i | \(0.337442\pi\) | |||||||
\(692\) | −26.8867 | − | 14.1112i | −1.02208 | − | 0.536428i | ||||
\(693\) | 22.8044 | − | 3.05552i | 0.866268 | − | 0.116070i | ||||
\(694\) | 15.5609 | − | 7.00341i | 0.590685 | − | 0.265846i | ||||
\(695\) | −2.26531 | + | 9.19072i | −0.0859280 | + | 0.348624i | ||||
\(696\) | −1.77580 | + | 8.52917i | −0.0673117 | + | 0.323297i | ||||
\(697\) | −9.77938 | − | 4.40134i | −0.370420 | − | 0.166713i | ||||
\(698\) | 23.8574 | − | 30.4518i | 0.903017 | − | 1.15262i | ||||
\(699\) | 16.4865 | + | 5.57532i | 0.623577 | + | 0.210878i | ||||
\(700\) | −4.37321 | + | 23.8639i | −0.165292 | + | 0.901969i | ||||
\(701\) | 34.3481 | − | 15.4588i | 1.29731 | − | 0.583871i | 0.360189 | − | 0.932880i | \(-0.382712\pi\) |
0.937120 | + | 0.349009i | \(0.113482\pi\) | |||||||
\(702\) | 3.96717 | + | 9.09664i | 0.149731 | + | 0.343331i | ||||
\(703\) | −35.5515 | + | 8.76265i | −1.34085 | + | 0.330490i | ||||
\(704\) | −0.653783 | − | 5.38438i | −0.0246404 | − | 0.202932i | ||||
\(705\) | −24.0754 | + | 33.1468i | −0.906732 | + | 1.24838i | ||||
\(706\) | 44.5998 | + | 8.17321i | 1.67854 | + | 0.307603i | ||||
\(707\) | −5.44400 | − | 0.997651i | −0.204743 | − | 0.0375205i | ||||
\(708\) | −9.81346 | + | 13.5111i | −0.368813 | + | 0.507777i | ||||
\(709\) | 1.77020 | + | 14.5789i | 0.0664813 | + | 0.547523i | 0.987455 | + | 0.157899i | \(0.0504719\pi\) |
−0.920974 | + | 0.389624i | \(0.872605\pi\) | |||||||
\(710\) | −53.8804 | + | 13.2803i | −2.02210 | + | 0.498402i | ||||
\(711\) | 19.7445 | − | 10.6761i | 0.740477 | − | 0.400387i | ||||
\(712\) | −1.01589 | + | 0.457216i | −0.0380721 | + | 0.0171349i | ||||
\(713\) | 4.58251 | − | 25.0060i | 0.171616 | − | 0.936480i | ||||
\(714\) | −7.07254 | − | 2.39176i | −0.264683 | − | 0.0895092i | ||||
\(715\) | 15.3797 | − | 19.6307i | 0.575167 | − | 0.734147i | ||||
\(716\) | −21.2092 | − | 9.54547i | −0.792623 | − | 0.356731i | ||||
\(717\) | −4.12661 | + | 19.8201i | −0.154111 | + | 0.740194i | ||||
\(718\) | −6.91939 | + | 28.0731i | −0.258229 | + | 1.04768i | ||||
\(719\) | −4.22130 | + | 1.89985i | −0.157428 | + | 0.0708526i | −0.487595 | − | 0.873070i | \(-0.662126\pi\) |
0.330167 | + | 0.943923i | \(0.392895\pi\) | |||||||
\(720\) | −8.59105 | − | 64.1179i | −0.320169 | − | 2.38953i | ||||
\(721\) | 8.05507 | + | 4.22762i | 0.299986 | + | 0.157445i | ||||
\(722\) | 3.05223 | + | 0.951112i | 0.113592 | + | 0.0353967i | ||||
\(723\) | −0.530115 | + | 22.0606i | −0.0197152 | + | 0.820442i | ||||
\(724\) | −9.23699 | − | 15.2798i | −0.343290 | − | 0.567871i | ||||
\(725\) | −47.8458 | + | 14.9094i | −1.77695 | + | 0.553720i | ||||
\(726\) | −45.1152 | − | 32.7684i | −1.67438 | − | 1.21615i | ||||
\(727\) | 3.72452 | − | 30.6742i | 0.138135 | − | 1.13764i | −0.744513 | − | 0.667607i | \(-0.767318\pi\) |
0.882648 | − | 0.470034i | \(-0.155758\pi\) | |||||||
\(728\) | −1.75007 | − | 1.20798i | −0.0648617 | − | 0.0447708i | ||||
\(729\) | 24.1934 | − | 11.9866i | 0.896052 | − | 0.443948i | ||||
\(730\) | −15.5641 | + | 19.8661i | −0.576054 | + | 0.735278i | ||||
\(731\) | −8.18536 | + | 6.41282i | −0.302746 | + | 0.237187i | ||||
\(732\) | 9.50195 | + | 19.2124i | 0.351202 | + | 0.710112i | ||||
\(733\) | 42.9513 | − | 16.2893i | 1.58644 | − | 0.601658i | 0.605481 | − | 0.795860i | \(-0.292981\pi\) |
0.980962 | + | 0.194202i | \(0.0622117\pi\) | |||||||
\(734\) | 32.6091 | + | 36.8081i | 1.20363 | + | 1.35861i | ||||
\(735\) | −28.6338 | + | 24.1648i | −1.05617 | + | 0.891333i | ||||
\(736\) | 34.1945 | + | 30.2937i | 1.26043 | + | 1.11664i | ||||
\(737\) | 9.01674 | − | 3.41960i | 0.332136 | − | 0.125962i | ||||
\(738\) | 20.7877 | − | 27.2202i | 0.765206 | − | 1.00199i | ||||
\(739\) | 10.4869 | − | 1.27333i | 0.385765 | − | 0.0468404i | 0.0746430 | − | 0.997210i | \(-0.476218\pi\) |
0.311122 | + | 0.950370i | \(0.399295\pi\) | |||||||
\(740\) | 42.7119 | + | 19.2231i | 1.57012 | + | 0.706654i | ||||
\(741\) | 5.90744 | + | 4.86167i | 0.217015 | + | 0.178598i | ||||
\(742\) | 6.37794 | − | 14.1712i | 0.234142 | − | 0.520241i | ||||
\(743\) | −4.59939 | − | 18.6605i | −0.168735 | − | 0.684586i | −0.992973 | − | 0.118342i | \(-0.962242\pi\) |
0.824238 | − | 0.566244i | \(-0.191604\pi\) | |||||||
\(744\) | 0.197347 | − | 8.21252i | 0.00723508 | − | 0.301086i | ||||
\(745\) | 18.6620 | − | 21.0650i | 0.683723 | − | 0.771763i | ||||
\(746\) | −13.1270 | + | 34.6129i | −0.480612 | + | 1.26727i | ||||
\(747\) | 3.08089 | − | 13.2000i | 0.112724 | − | 0.482962i | ||||
\(748\) | 5.13622 | + | 9.78625i | 0.187799 | + | 0.357821i | ||||
\(749\) | −7.00093 | − | 2.65510i | −0.255809 | − | 0.0970154i | ||||
\(750\) | 97.2272 | − | 72.4719i | 3.55024 | − | 2.64630i | ||||
\(751\) | 18.3179 | + | 5.70807i | 0.668428 | + | 0.208291i | 0.612893 | − | 0.790166i | \(-0.290006\pi\) |
0.0555353 | + | 0.998457i | \(0.482313\pi\) | |||||||
\(752\) | −6.43722 | − | 26.1168i | −0.234741 | − | 0.952382i | ||||
\(753\) | 17.5206 | − | 18.8445i | 0.638486 | − | 0.686731i | ||||
\(754\) | −0.826347 | + | 6.80558i | −0.0300938 | + | 0.247845i | ||||
\(755\) | −3.59589 | − | 29.6149i | −0.130868 | − | 1.07779i | ||||
\(756\) | 4.76108 | − | 7.67226i | 0.173159 | − | 0.279037i | ||||
\(757\) | 3.32919 | + | 3.32919i | 0.121002 | + | 0.121002i | 0.765015 | − | 0.644013i | \(-0.222732\pi\) |
−0.644013 | + | 0.765015i | \(0.722732\pi\) | |||||||
\(758\) | −12.4886 | − | 23.7950i | −0.453605 | − | 0.864272i | ||||
\(759\) | 69.6622 | − | 6.76480i | 2.52858 | − | 0.245547i | ||||
\(760\) | −14.3831 | − | 20.8375i | −0.521730 | − | 0.755857i | ||||
\(761\) | −0.911898 | − | 4.97607i | −0.0330563 | − | 0.180382i | 0.962948 | − | 0.269687i | \(-0.0869202\pi\) |
−0.996004 | + | 0.0893046i | \(0.971536\pi\) | |||||||
\(762\) | −9.10542 | + | 62.4182i | −0.329854 | + | 2.26117i | ||||
\(763\) | 2.39951 | + | 2.39951i | 0.0868680 | + | 0.0868680i | ||||
\(764\) | 2.72751 | − | 0.164984i | 0.0986778 | − | 0.00596891i | ||||
\(765\) | 10.4716 | + | 19.3663i | 0.378603 | + | 0.700189i | ||||
\(766\) | −6.42223 | + | 26.0560i | −0.232045 | + | 0.941442i | ||||
\(767\) | 4.35570 | − | 7.20521i | 0.157275 | − | 0.260165i | ||||
\(768\) | 30.0759 | + | 19.1829i | 1.08527 | + | 0.692202i | ||||
\(769\) | −17.1048 | − | 19.3073i | −0.616814 | − | 0.696239i | 0.354225 | − | 0.935160i | \(-0.384745\pi\) |
−0.971039 | + | 0.238921i | \(0.923206\pi\) | |||||||
\(770\) | −59.8086 | − | 3.61775i | −2.15535 | − | 0.130375i | ||||
\(771\) | −40.9953 | + | 23.4567i | −1.47641 | + | 0.844772i | ||||
\(772\) | 21.9922 | 0.791517 | ||||||||
\(773\) | −33.2220 | −1.19491 | −0.597456 | − | 0.801902i | \(-0.703822\pi\) | ||||
−0.597456 | + | 0.801902i | \(0.703822\pi\) | |||||||
\(774\) | −14.0029 | − | 30.1127i | −0.503324 | − | 1.08238i | ||||
\(775\) | 41.8422 | − | 21.9605i | 1.50302 | − | 0.788844i | ||||
\(776\) | 7.65091 | + | 6.77811i | 0.274652 | + | 0.243320i | ||||
\(777\) | −9.65906 | − | 19.5301i | −0.346517 | − | 0.700639i | ||||
\(778\) | 11.3899 | + | 25.3072i | 0.408346 | + | 0.907308i | ||||
\(779\) | 4.75951 | − | 25.9718i | 0.170527 | − | 0.930536i | ||||
\(780\) | −2.11318 | − | 9.55592i | −0.0756639 | − | 0.342157i | ||||
\(781\) | −13.5507 | − | 35.7302i | −0.484882 | − | 1.27853i | ||||
\(782\) | −21.2354 | − | 8.05353i | −0.759377 | − | 0.287994i | ||||
\(783\) | 18.6032 | + | 1.34317i | 0.664825 | + | 0.0480011i | ||||
\(784\) | − | 24.6006i | − | 0.878593i | ||||||
\(785\) | 7.25145 | + | 54.0775i | 0.258815 | + | 1.93011i | ||||
\(786\) | 0.760676 | − | 8.98699i | 0.0271324 | − | 0.320555i | ||||
\(787\) | 2.69728 | + | 14.7186i | 0.0961476 | + | 0.524660i | 0.996067 | + | 0.0886040i | \(0.0282406\pi\) |
−0.899919 | + | 0.436056i | \(0.856375\pi\) | |||||||
\(788\) | 6.52572 | − | 17.2069i | 0.232469 | − | 0.612971i | ||||
\(789\) | −12.4220 | + | 3.54581i | −0.442236 | + | 0.126234i | ||||
\(790\) | −55.8072 | + | 17.3902i | −1.98553 | + | 0.618716i | ||||
\(791\) | −1.85172 | − | 0.339341i | −0.0658397 | − | 0.0120656i | ||||
\(792\) | 21.8905 | − | 5.68352i | 0.777845 | − | 0.201955i | ||||
\(793\) | −5.59072 | − | 9.24818i | −0.198532 | − | 0.328412i | ||||
\(794\) | 17.1719 | − | 19.3831i | 0.609409 | − | 0.687880i | ||||
\(795\) | −42.2284 | + | 17.7982i | −1.49769 | + | 0.631238i | ||||
\(796\) | 4.25763 | + | 6.16824i | 0.150908 | + | 0.218627i | ||||
\(797\) | 16.1837i | 0.573257i | 0.958042 | + | 0.286629i | \(0.0925346\pi\) | ||||
−0.958042 | + | 0.286629i | \(0.907465\pi\) | |||||||
\(798\) | 1.55037 | − | 18.3168i | 0.0548824 | − | 0.648407i | ||||
\(799\) | 5.20022 | + | 7.53382i | 0.183971 | + | 0.266527i | ||||
\(800\) | −5.12710 | + | 84.7611i | −0.181271 | + | 2.99676i | ||||
\(801\) | 1.25901 | + | 2.02566i | 0.0444850 | + | 0.0715732i | ||||
\(802\) | 6.14528 | + | 3.22529i | 0.216997 | + | 0.113889i | ||||
\(803\) | −14.8723 | − | 8.99064i | −0.524833 | − | 0.317273i | ||||
\(804\) | 1.21238 | − | 3.58507i | 0.0427573 | − | 0.126435i | ||||
\(805\) | 36.7029 | − | 28.7549i | 1.29361 | − | 1.01348i | ||||
\(806\) | −0.390306 | − | 6.45253i | −0.0137480 | − | 0.227281i | ||||
\(807\) | 32.7565 | − | 27.6441i | 1.15308 | − | 0.973118i | ||||
\(808\) | −5.43046 | − | 0.328482i | −0.191043 | − | 0.0115560i | ||||
\(809\) | 43.3047 | − | 7.93589i | 1.52251 | − | 0.279011i | 0.647107 | − | 0.762399i | \(-0.275979\pi\) |
0.875406 | + | 0.483388i | \(0.160594\pi\) | |||||||
\(810\) | −67.8332 | + | 18.5100i | −2.38342 | + | 0.650376i | ||||
\(811\) | 5.92797 | − | 1.08634i | 0.208159 | − | 0.0381466i | −0.0751635 | − | 0.997171i | \(-0.523948\pi\) |
0.283323 | + | 0.959025i | \(0.408563\pi\) | |||||||
\(812\) | 5.52310 | − | 2.89875i | 0.193823 | − | 0.101726i | ||||
\(813\) | 6.32994 | + | 7.50058i | 0.222001 | + | 0.263057i | ||||
\(814\) | −25.3394 | + | 81.3169i | −0.888144 | + | 2.85015i | ||||
\(815\) | −45.9869 | + | 5.58382i | −1.61085 | + | 0.195593i | ||||
\(816\) | −14.1518 | − | 2.94647i | −0.495414 | − | 0.103147i | ||||
\(817\) | −20.1534 | − | 15.7892i | −0.705078 | − | 0.552393i | ||||
\(818\) | −41.1219 | + | 10.1356i | −1.43779 | + | 0.354384i | ||||
\(819\) | −2.06569 | + | 4.05697i | −0.0721810 | + | 0.141762i | ||||
\(820\) | −25.2819 | + | 22.3978i | −0.882882 | + | 0.782165i | ||||
\(821\) | −12.0140 | + | 31.6782i | −0.419290 | + | 1.10558i | 0.544464 | + | 0.838784i | \(0.316733\pi\) |
−0.963754 | + | 0.266792i | \(0.914036\pi\) | |||||||
\(822\) | 22.7220 | + | 53.9105i | 0.792519 | + | 1.88035i | ||||
\(823\) | −1.80962 | + | 29.9165i | −0.0630792 | + | 1.04282i | 0.819627 | + | 0.572898i | \(0.194181\pi\) |
−0.882706 | + | 0.469926i | \(0.844281\pi\) | |||||||
\(824\) | 8.36103 | + | 3.17092i | 0.291270 | + | 0.110464i | ||||
\(825\) | 89.7559 | + | 94.1758i | 3.12490 | + | 3.27878i | ||||
\(826\) | −20.1923 | + | 1.22141i | −0.702582 | + | 0.0424984i | ||||
\(827\) | 6.63488 | − | 1.63535i | 0.230717 | − | 0.0568667i | −0.122262 | − | 0.992498i | \(-0.539015\pi\) |
0.352979 | + | 0.935631i | \(0.385169\pi\) | |||||||
\(828\) | 15.3225 | − | 22.7963i | 0.532494 | − | 0.792226i | ||||
\(829\) | −13.9964 | − | 9.66099i | −0.486114 | − | 0.335540i | 0.299668 | − | 0.954043i | \(-0.403124\pi\) |
−0.785782 | + | 0.618503i | \(0.787739\pi\) | |||||||
\(830\) | −14.4873 | + | 32.1894i | −0.502860 | + | 1.11731i | ||||
\(831\) | −37.5747 | + | 1.36794i | −1.30345 | + | 0.0474535i | ||||
\(832\) | 0.950291 | + | 0.498751i | 0.0329454 | + | 0.0172911i | ||||
\(833\) | 2.96884 | + | 7.82820i | 0.102864 | + | 0.271231i | ||||
\(834\) | −4.89003 | + | 4.66053i | −0.169328 | + | 0.161381i | ||||
\(835\) | 78.1914 | + | 78.1914i | 2.70593 | + | 2.70593i | ||||
\(836\) | −20.3684 | + | 18.0449i | −0.704457 | + | 0.624095i | ||||
\(837\) | −17.4825 | + | 1.91618i | −0.604284 | + | 0.0662328i | ||||
\(838\) | 3.18554 | + | 5.26952i | 0.110043 | + | 0.182033i | ||||
\(839\) | 17.5542 | + | 22.4062i | 0.606037 | + | 0.773549i | 0.988630 | − | 0.150368i | \(-0.0480457\pi\) |
−0.382593 | + | 0.923917i | \(0.624969\pi\) | |||||||
\(840\) | 10.2589 | − | 11.0341i | 0.353967 | − | 0.380713i | ||||
\(841\) | −13.2627 | − | 9.15460i | −0.457336 | − | 0.315676i | ||||
\(842\) | 22.9558 | − | 33.2572i | 0.791108 | − | 1.14612i | ||||
\(843\) | 15.8530 | + | 3.30066i | 0.546007 | + | 0.113681i | ||||
\(844\) | −2.13214 | + | 3.52700i | −0.0733914 | + | 0.121404i | ||||
\(845\) | −15.3731 | − | 49.3341i | −0.528852 | − | 1.69714i | ||||
\(846\) | −27.2061 | + | 10.7045i | −0.935365 | + | 0.368029i | ||||
\(847\) | −1.54444 | − | 25.5327i | −0.0530677 | − | 0.877313i | ||||
\(848\) | 8.95139 | − | 28.7260i | 0.307392 | − | 0.986455i | ||||
\(849\) | 41.5529 | + | 26.5031i | 1.42609 | + | 0.909586i | ||||
\(850\) | −12.5593 | − | 40.3041i | −0.430780 | − | 1.38242i | ||||
\(851\) | −27.2015 | − | 60.4394i | −0.932457 | − | 2.07183i | ||||
\(852\) | −14.2064 | − | 4.80424i | −0.486703 | − | 0.164591i | ||||
\(853\) | −54.5687 | − | 6.62584i | −1.86840 | − | 0.226865i | −0.893429 | − | 0.449205i | \(-0.851707\pi\) |
−0.974969 | + | 0.222340i | \(0.928630\pi\) | |||||||
\(854\) | −10.6564 | + | 23.6776i | −0.364655 | + | 0.810229i | ||||
\(855\) | −40.1265 | + | 36.4444i | −1.37230 | + | 1.24637i | ||||
\(856\) | −7.14609 | − | 1.76135i | −0.244248 | − | 0.0602018i | ||||
\(857\) | 18.2621 | + | 3.34666i | 0.623822 | + | 0.114320i | 0.482863 | − | 0.875696i | \(-0.339597\pi\) |
0.140959 | + | 0.990015i | \(0.454981\pi\) | |||||||
\(858\) | 16.7871 | − | 5.90927i | 0.573103 | − | 0.201739i | ||||
\(859\) | 6.09192 | + | 7.77576i | 0.207854 | + | 0.265305i | 0.879853 | − | 0.475246i | \(-0.157641\pi\) |
−0.671999 | + | 0.740552i | \(0.734564\pi\) | |||||||
\(860\) | 7.83755 | + | 31.7982i | 0.267258 | + | 1.08431i | ||||
\(861\) | 15.7015 | − | 0.571630i | 0.535107 | − | 0.0194811i | ||||
\(862\) | −8.13982 | − | 4.92069i | −0.277243 | − | 0.167599i | ||||
\(863\) | 1.58318 | − | 8.63916i | 0.0538922 | − | 0.294080i | −0.945621 | − | 0.325270i | \(-0.894545\pi\) |
0.999513 | + | 0.0311894i | \(0.00992950\pi\) | |||||||
\(864\) | 13.3058 | − | 28.6663i | 0.452672 | − | 0.975247i | ||||
\(865\) | −56.1162 | + | 92.8275i | −1.90801 | + | 3.15623i | ||||
\(866\) | −2.59514 | + | 0.315107i | −0.0881864 | + | 0.0107078i | ||||
\(867\) | −24.2228 | + | 3.84001i | −0.822651 | + | 0.130414i | ||||
\(868\) | −4.62990 | + | 3.62730i | −0.157149 | + | 0.123119i | ||||
\(869\) | −16.5201 | − | 36.7062i | −0.560407 | − | 1.24517i | ||||
\(870\) | −46.8683 | − | 12.7538i | −1.58898 | − | 0.432393i | ||||
\(871\) | −0.456643 | + | 1.85267i | −0.0154728 | + | 0.0627755i | ||||
\(872\) | 2.62574 | + | 2.05713i | 0.0889187 | + | 0.0696634i | ||||
\(873\) | 12.2074 | − | 18.1618i | 0.413159 | − | 0.614685i | ||||
\(874\) | 6.74018 | − | 55.5104i | 0.227990 | − | 1.87767i | ||||
\(875\) | 54.0130 | + | 13.3130i | 1.82597 | + | 0.450062i | ||||
\(876\) | −6.43324 | + | 2.26458i | −0.217359 | + | 0.0765130i | ||||
\(877\) | −11.4313 | + | 3.56214i | −0.386008 | + | 0.120285i | −0.484364 | − | 0.874866i | \(-0.660949\pi\) |
0.0983566 | + | 0.995151i | \(0.468641\pi\) | |||||||
\(878\) | −12.5591 | + | 23.9293i | −0.423848 | + | 0.807574i | ||||
\(879\) | −13.6937 | + | 33.6464i | −0.461878 | + | 1.13487i | ||||
\(880\) | −115.798 | + | 7.00451i | −3.90356 | + | 0.236122i | ||||
\(881\) | 7.56967 | − | 4.57603i | 0.255029 | − | 0.154170i | −0.384048 | − | 0.923313i | \(-0.625470\pi\) |
0.639077 | + | 0.769143i | \(0.279317\pi\) | |||||||
\(882\) | −26.5019 | + | 3.55094i | −0.892364 | + | 0.119566i | ||||
\(883\) | −6.26812 | − | 3.78921i | −0.210939 | − | 0.127517i | 0.407924 | − | 0.913016i | \(-0.366253\pi\) |
−0.618863 | + | 0.785499i | \(0.712407\pi\) | |||||||
\(884\) | −2.17094 | − | 0.263599i | −0.0730165 | − | 0.00886580i | ||||
\(885\) | 46.0604 | + | 37.9065i | 1.54830 | + | 1.27421i | ||||
\(886\) | 23.2508 | − | 33.6846i | 0.781125 | − | 1.13165i | ||||
\(887\) | 32.1234 | + | 25.1671i | 1.07860 | + | 0.845027i | 0.988547 | − | 0.150910i | \(-0.0482204\pi\) |
0.0900499 | + | 0.995937i | \(0.471297\pi\) | |||||||
\(888\) | −11.7393 | − | 17.9130i | −0.393945 | − | 0.601121i | ||||
\(889\) | −24.7637 | + | 14.9702i | −0.830546 | + | 0.502083i | ||||
\(890\) | −2.20249 | − | 5.80749i | −0.0738276 | − | 0.194667i | ||||
\(891\) | −18.2838 | − | 44.8342i | −0.612531 | − | 1.50200i | ||||
\(892\) | −16.6940 | + | 16.6940i | −0.558957 | + | 0.558957i | ||||
\(893\) | −14.9461 | + | 16.8707i | −0.500153 | + | 0.564556i | ||||
\(894\) | 19.3125 | − | 5.51265i | 0.645906 | − | 0.184371i | ||||
\(895\) | −38.6112 | + | 73.5676i | −1.29063 | + | 2.45909i | ||||
\(896\) | 1.77941 | + | 14.6548i | 0.0594460 | + | 0.489582i | ||||
\(897\) | −6.72857 | + | 12.1043i | −0.224660 | + | 0.404152i | ||||
\(898\) | −2.39724 | + | 3.47300i | −0.0799970 | + | 0.115896i | ||||
\(899\) | −11.0789 | − | 4.98622i | −0.369503 | − | 0.166300i | ||||
\(900\) | 50.9209 | − | 3.71257i | 1.69736 | − | 0.123752i | ||||
\(901\) | 0.618270 | + | 10.2212i | 0.0205976 | + | 0.340518i | ||||
\(902\) | −45.9740 | − | 40.7294i | −1.53077 | − | 1.35614i | ||||
\(903\) | 6.58436 | − | 13.7381i | 0.219114 | − | 0.457176i | ||||
\(904\) | −1.84712 | − | 0.111730i | −0.0614342 | − | 0.00371608i | ||||
\(905\) | −56.4763 | + | 29.6411i | −1.87734 | + | 0.985302i | ||||
\(906\) | 9.20144 | − | 19.1986i | 0.305698 | − | 0.637831i | ||||
\(907\) | 34.0235 | + | 38.4046i | 1.12973 | + | 1.27520i | 0.956953 | + | 0.290242i | \(0.0937357\pi\) |
0.172778 | + | 0.984961i | \(0.444726\pi\) | |||||||
\(908\) | 4.98789 | − | 16.0067i | 0.165529 | − | 0.531201i | ||||
\(909\) | 0.846939 | + | 11.6165i | 0.0280912 | + | 0.385294i | ||||
\(910\) | 7.31172 | − | 9.33272i | 0.242381 | − | 0.309377i | ||||
\(911\) | 17.5428 | + | 2.13008i | 0.581219 | + | 0.0705728i | 0.405866 | − | 0.913933i | \(-0.366970\pi\) |
0.175354 | + | 0.984506i | \(0.443893\pi\) | |||||||
\(912\) | −1.29486 | − | 35.5673i | −0.0428772 | − | 1.17775i | ||||
\(913\) | −23.2071 | − | 7.23162i | −0.768042 | − | 0.239332i | ||||
\(914\) | −5.52458 | + | 5.52458i | −0.182737 | + | 0.182737i | ||||
\(915\) | 70.5561 | − | 29.7376i | 2.33251 | − | 0.983096i | ||||
\(916\) | 0.848865 | + | 4.63211i | 0.0280473 | + | 0.153049i | ||||
\(917\) | 3.40506 | − | 2.35034i | 0.112445 | − | 0.0776151i | ||||
\(918\) | −1.13146 | + | 15.6709i | −0.0373436 | + | 0.517216i | ||||
\(919\) | 1.67722 | − | 27.7278i | 0.0553264 | − | 0.914655i | −0.859583 | − | 0.510996i | \(-0.829277\pi\) |
0.914910 | − | 0.403659i | \(-0.132262\pi\) | |||||||
\(920\) | 32.4077 | − | 32.4077i | 1.06845 | − | 1.06845i | ||||
\(921\) | 39.4559 | + | 0.948125i | 1.30012 | + | 0.0312418i | ||||
\(922\) | −7.68246 | − | 9.80593i | −0.253008 | − | 0.322941i | ||||
\(923\) | 7.34152 | + | 1.80952i | 0.241649 | + | 0.0595611i | ||||
\(924\) | −13.1014 | − | 9.51590i | −0.431004 | − | 0.313050i | ||||
\(925\) | 57.2531 | − | 109.087i | 1.88247 | − | 3.58674i | ||||
\(926\) | 39.1903 | − | 34.7195i | 1.28787 | − | 1.14096i | ||||
\(927\) | 4.35132 | − | 18.6431i | 0.142916 | − | 0.612319i | ||||
\(928\) | 17.9673 | − | 12.4020i | 0.589807 | − | 0.407114i | ||||
\(929\) | 3.98666i | 0.130798i | 0.997859 | + | 0.0653990i | \(0.0208320\pi\) | ||||
−0.997859 | + | 0.0653990i | \(0.979168\pi\) | |||||||
\(930\) | 45.6374 | + | 3.86283i | 1.49651 | + | 0.126667i | ||||
\(931\) | −16.9646 | + | 11.7098i | −0.555994 | + | 0.383775i | ||||
\(932\) | −5.69205 | − | 10.8453i | −0.186449 | − | 0.355250i | ||||
\(933\) | 0.314469 | − | 0.299711i | 0.0102953 | − | 0.00981209i | ||||
\(934\) | 46.5647 | − | 28.1494i | 1.52364 | − | 0.921075i | ||||
\(935\) | 36.0031 | − | 16.2037i | 1.17743 | − | 0.529917i | ||||
\(936\) | −1.53501 | + | 4.20353i | −0.0501735 | + | 0.137397i | ||||
\(937\) | −12.2451 | − | 39.2960i | −0.400031 | − | 1.28374i | −0.906763 | − | 0.421641i | \(-0.861454\pi\) |
0.506732 | − | 0.862104i | \(-0.330853\pi\) | |||||||
\(938\) | 4.28668 | − | 1.62572i | 0.139965 | − | 0.0530818i | ||||
\(939\) | −11.9478 | − | 5.72629i | −0.389901 | − | 0.186870i | ||||
\(940\) | 28.3595 | − | 5.19708i | 0.924986 | − | 0.169510i | ||||
\(941\) | −4.57722 | −0.149213 | −0.0746065 | − | 0.997213i | \(-0.523770\pi\) | ||||
−0.0746065 | + | 0.997213i | \(0.523770\pi\) | |||||||
\(942\) | −16.3898 | + | 35.3201i | −0.534008 | + | 1.15079i | ||||
\(943\) | 47.7950 | 1.55642 | ||||||||
\(944\) | −38.5253 | + | 7.06003i | −1.25389 | + | 0.229784i | ||||
\(945\) | −26.3304 | − | 18.6316i | −0.856529 | − | 0.606086i | ||||
\(946\) | −55.6841 | + | 21.1182i | −1.81045 | + | 0.686611i | ||||
\(947\) | −1.39042 | − | 4.46201i | −0.0451825 | − | 0.144996i | 0.929373 | − | 0.369142i | \(-0.120348\pi\) |
−0.974556 | + | 0.224146i | \(0.928041\pi\) | |||||||
\(948\) | −15.2427 | − | 4.14782i | −0.495058 | − | 0.134715i | ||||
\(949\) | 3.13573 | − | 1.41128i | 0.101790 | − | 0.0458120i | ||||
\(950\) | 88.9501 | − | 53.7722i | 2.88592 | − | 1.74460i | ||||
\(951\) | −18.9721 | − | 19.9063i | −0.615212 | − | 0.645507i | ||||
\(952\) | −1.56455 | − | 2.98100i | −0.0507074 | − | 0.0966149i | ||||
\(953\) | −43.9656 | + | 30.3473i | −1.42419 | + | 0.983045i | −0.427306 | + | 0.904107i | \(0.640537\pi\) |
−0.996880 | + | 0.0789378i | \(0.974847\pi\) | |||||||
\(954\) | −32.2382 | − | 5.49678i | −1.04375 | − | 0.177965i | ||||
\(955\) | − | 9.76118i | − | 0.315864i | ||||||
\(956\) | 11.7258 | − | 8.09376i | 0.379241 | − | 0.261771i | ||||
\(957\) | 4.82821 | − | 33.0977i | 0.156074 | − | 1.06990i | ||||
\(958\) | 44.4018 | − | 39.3365i | 1.43456 | − | 1.27091i | ||||
\(959\) | −12.4722 | + | 23.7638i | −0.402748 | + | 0.767372i | ||||
\(960\) | −4.46860 | + | 6.15233i | −0.144224 | + | 0.198565i | ||||
\(961\) | −18.9762 | − | 4.67720i | −0.612134 | − | 0.150877i | ||||
\(962\) | −10.3936 | − | 13.2665i | −0.335104 | − | 0.427729i | ||||
\(963\) | −1.70574 | + | 15.6643i | −0.0549666 | + | 0.504775i | ||||
\(964\) | 10.9815 | − | 10.9815i | 0.353689 | − | 0.353689i | ||||
\(965\) | 4.74345 | − | 78.4186i | 0.152697 | − | 2.52439i | ||||
\(966\) | 33.1184 | − | 3.21608i | 1.06557 | − | 0.103476i | ||||
\(967\) | −24.9198 | + | 17.2009i | −0.801367 | + | 0.553144i | −0.896875 | − | 0.442285i | \(-0.854168\pi\) |
0.0955075 | + | 0.995429i | \(0.469553\pi\) | |||||||
\(968\) | −4.53226 | − | 24.7318i | −0.145672 | − | 0.794909i | ||||
\(969\) | 4.70436 | + | 11.1617i | 0.151126 | + | 0.358564i | ||||
\(970\) | −40.2967 | + | 40.2967i | −1.29385 | + | 1.29385i | ||||
\(971\) | −26.3225 | − | 8.20241i | −0.844728 | − | 0.263228i | −0.155557 | − | 0.987827i | \(-0.549717\pi\) |
−0.689171 | + | 0.724599i | \(0.742025\pi\) | |||||||
\(972\) | −18.1455 | − | 5.64035i | −0.582016 | − | 0.180914i | ||||
\(973\) | −3.07630 | − | 0.373531i | −0.0986217 | − | 0.0119748i | ||||
\(974\) | 32.5847 | − | 41.5913i | 1.04408 | − | 1.33267i | ||||
\(975\) | −25.4245 | + | 4.03052i | −0.814237 | + | 0.129080i | ||||
\(976\) | −14.9562 | + | 47.9960i | −0.478735 | + | 1.53632i | ||||
\(977\) | 21.2972 | + | 24.0396i | 0.681359 | + | 0.769096i | 0.982857 | − | 0.184371i | \(-0.0590249\pi\) |
−0.301497 | + | 0.953467i | \(0.597486\pi\) | |||||||
\(978\) | −29.8122 | − | 14.2883i | −0.953288 | − | 0.456889i | ||||
\(979\) | 3.78717 | − | 1.98766i | 0.121039 | − | 0.0635259i | ||||
\(980\) | 26.3207 | + | 1.59211i | 0.840784 | + | 0.0508580i | ||||
\(981\) | 3.61857 | − | 6.15651i | 0.115532 | − | 0.196562i | ||||
\(982\) | −10.7860 | − | 9.55557i | −0.344195 | − | 0.304930i | ||||
\(983\) | 2.07269 | + | 34.2656i | 0.0661085 | + | 1.09290i | 0.868365 | + | 0.495925i | \(0.165171\pi\) |
−0.802257 | + | 0.596979i | \(0.796368\pi\) | |||||||
\(984\) | 15.2538 | − | 2.41817i | 0.486274 | − | 0.0770884i | ||||
\(985\) | −59.9479 | − | 26.9804i | −1.91010 | − | 0.859666i | ||||
\(986\) | −6.16558 | + | 8.93238i | −0.196352 | + | 0.284465i | ||||
\(987\) | −11.7225 | − | 6.51631i | −0.373131 | − | 0.207416i | ||||
\(988\) | −0.649015 | − | 5.34512i | −0.0206479 | − | 0.170051i | ||||
\(989\) | 21.5365 | − | 41.0343i | 0.684820 | − | 1.30482i | ||||
\(990\) | 24.2606 | + | 123.737i | 0.771053 | + | 3.93262i | ||||
\(991\) | 20.9596 | − | 23.6585i | 0.665804 | − | 0.751537i | −0.314451 | − | 0.949274i | \(-0.601821\pi\) |
0.980255 | + | 0.197736i | \(0.0633590\pi\) | |||||||
\(992\) | −14.5565 | + | 14.5565i | −0.462170 | + | 0.462170i | ||||
\(993\) | −14.2468 | + | 10.6193i | −0.452107 | + | 0.336995i | ||||
\(994\) | −6.44219 | − | 16.9867i | −0.204334 | − | 0.538784i | ||||
\(995\) | 22.9127 | − | 13.8512i | 0.726381 | − | 0.439112i | ||||
\(996\) | −7.97874 | + | 5.22887i | −0.252816 | + | 0.165683i | ||||
\(997\) | −0.199226 | − | 0.156084i | −0.00630956 | − | 0.00494322i | 0.613559 | − | 0.789649i | \(-0.289737\pi\) |
−0.619869 | + | 0.784706i | \(0.712814\pi\) | |||||||
\(998\) | 15.1350 | − | 21.9269i | 0.479091 | − | 0.694083i | ||||
\(999\) | −34.6726 | + | 30.0029i | −1.09699 | + | 0.949250i |
(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 | 471.2.s.a.2.11 | ✓ | 1200 | |
3.2 | odd | 2 | inner | 471.2.s.a.2.40 | yes | 1200 | |
157.79 | odd | 52 | inner | 471.2.s.a.236.40 | yes | 1200 | |
471.236 | even | 52 | inner | 471.2.s.a.236.11 | yes | 1200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
471.2.s.a.2.11 | ✓ | 1200 | 1.1 | even | 1 | trivial | |
471.2.s.a.2.40 | yes | 1200 | 3.2 | odd | 2 | inner | |
471.2.s.a.236.11 | yes | 1200 | 471.236 | even | 52 | inner | |
471.2.s.a.236.40 | yes | 1200 | 157.79 | odd | 52 | inner |