Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [475,2,Mod(6,475)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(475, base_ring=CyclotomicField(90))
chi = DirichletCharacter(H, H._module([36, 70]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("475.6");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 475 = 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 475.bc (of order \(45\), degree \(24\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.79289409601\) |
Analytic rank: | \(0\) |
Dimension: | \(1152\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{45})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{45}]$ |
Embedding invariants
Embedding label | 111.2 | ||
Character | \(\chi\) | \(=\) | 475.111 |
Dual form | 475.2.bc.a.291.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/475\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.63731 | − | 0.184419i | −1.86486 | − | 0.130404i | −0.907639 | − | 0.419752i | \(-0.862117\pi\) |
−0.957224 | + | 0.289348i | \(0.906562\pi\) | |||||||
\(3\) | 0.0829782 | + | 2.37618i | 0.0479075 | + | 1.37189i | 0.750770 | + | 0.660564i | \(0.229683\pi\) |
−0.702862 | + | 0.711326i | \(0.748095\pi\) | |||||||
\(4\) | 4.94088 | + | 0.694396i | 2.47044 | + | 0.347198i | ||||
\(5\) | 1.77686 | − | 1.35748i | 0.794637 | − | 0.607085i | ||||
\(6\) | 0.219374 | − | 6.28205i | 0.0895590 | − | 2.56463i | ||||
\(7\) | 2.24445 | + | 3.88750i | 0.848322 | + | 1.46934i | 0.882705 | + | 0.469928i | \(0.155720\pi\) |
−0.0343828 | + | 0.999409i | \(0.510947\pi\) | |||||||
\(8\) | −7.73064 | − | 1.64320i | −2.73319 | − | 0.580958i | ||||
\(9\) | −2.64667 | + | 0.185073i | −0.882223 | + | 0.0616911i | ||||
\(10\) | −4.93649 | + | 3.25242i | −1.56106 | + | 1.02851i | ||||
\(11\) | 0.230863 | + | 2.19652i | 0.0696079 | + | 0.662275i | 0.972579 | + | 0.232573i | \(0.0747145\pi\) |
−0.902971 | + | 0.429701i | \(0.858619\pi\) | |||||||
\(12\) | −1.24003 | + | 11.7981i | −0.357965 | + | 3.40581i | ||||
\(13\) | 2.72113 | + | 4.03425i | 0.754707 | + | 1.11890i | 0.989170 | + | 0.146774i | \(0.0468888\pi\) |
−0.234464 | + | 0.972125i | \(0.575333\pi\) | |||||||
\(14\) | −5.20239 | − | 10.6665i | −1.39040 | − | 2.85074i | ||||
\(15\) | 3.37307 | + | 4.10951i | 0.870922 | + | 1.06107i | ||||
\(16\) | 10.4928 | + | 3.00875i | 2.62319 | + | 0.752189i | ||||
\(17\) | 2.16319 | − | 5.35407i | 0.524650 | − | 1.29855i | −0.399574 | − | 0.916701i | \(-0.630842\pi\) |
0.924223 | − | 0.381852i | \(-0.124714\pi\) | |||||||
\(18\) | 7.01423 | 1.65327 | ||||||||
\(19\) | 1.00901 | − | 4.24051i | 0.231482 | − | 0.972839i | ||||
\(20\) | 9.72190 | − | 5.47331i | 2.17388 | − | 1.22387i | ||||
\(21\) | −9.05117 | + | 5.65580i | −1.97513 | + | 1.23420i | ||||
\(22\) | −0.203779 | − | 5.83548i | −0.0434459 | − | 1.24413i | ||||
\(23\) | 1.71795 | + | 1.65900i | 0.358217 | + | 0.345926i | 0.851889 | − | 0.523722i | \(-0.175457\pi\) |
−0.493673 | + | 0.869648i | \(0.664346\pi\) | |||||||
\(24\) | 3.26307 | − | 18.5058i | 0.666070 | − | 3.77747i | ||||
\(25\) | 1.31448 | − | 4.82412i | 0.262897 | − | 0.964824i | ||||
\(26\) | −6.43249 | − | 11.1414i | −1.26152 | − | 2.18501i | ||||
\(27\) | 0.0862070 | + | 0.820205i | 0.0165905 | + | 0.157848i | ||||
\(28\) | 8.39009 | + | 20.7662i | 1.58558 | + | 3.92445i | ||||
\(29\) | −0.115971 | − | 0.287038i | −0.0215353 | − | 0.0533017i | 0.916033 | − | 0.401103i | \(-0.131373\pi\) |
−0.937568 | + | 0.347801i | \(0.886928\pi\) | |||||||
\(30\) | −8.13797 | − | 11.4601i | −1.48578 | − | 2.09232i | ||||
\(31\) | 2.43706 | − | 2.70663i | 0.437709 | − | 0.486125i | −0.483417 | − | 0.875390i | \(-0.660604\pi\) |
0.921126 | + | 0.389265i | \(0.127271\pi\) | |||||||
\(32\) | −12.2644 | − | 4.46389i | −2.16807 | − | 0.789112i | ||||
\(33\) | −5.20017 | + | 0.730836i | −0.905233 | + | 0.127222i | ||||
\(34\) | −6.69239 | + | 13.7214i | −1.14774 | + | 2.35321i | ||||
\(35\) | 9.26529 | + | 3.86075i | 1.56612 | + | 0.652586i | ||||
\(36\) | −13.2054 | − | 0.923411i | −2.20090 | − | 0.153902i | ||||
\(37\) | −5.50350 | − | 3.99852i | −0.904769 | − | 0.657353i | 0.0349173 | − | 0.999390i | \(-0.488883\pi\) |
−0.939687 | + | 0.342037i | \(0.888883\pi\) | |||||||
\(38\) | −3.44310 | + | 10.9975i | −0.558545 | + | 1.78403i | ||||
\(39\) | −9.36031 | + | 6.80067i | −1.49885 | + | 1.08898i | ||||
\(40\) | −15.9669 | + | 7.57447i | −2.52459 | + | 1.19763i | ||||
\(41\) | 5.22109 | + | 1.49712i | 0.815398 | + | 0.233811i | 0.657316 | − | 0.753615i | \(-0.271691\pi\) |
0.158081 | + | 0.987426i | \(0.449469\pi\) | |||||||
\(42\) | 24.9138 | − | 13.2469i | 3.84429 | − | 2.04404i | ||||
\(43\) | −0.237442 | + | 1.34660i | −0.0362095 | + | 0.205355i | −0.997545 | − | 0.0700245i | \(-0.977692\pi\) |
0.961336 | + | 0.275379i | \(0.0888034\pi\) | |||||||
\(44\) | −0.384584 | + | 11.0130i | −0.0579782 | + | 1.66028i | ||||
\(45\) | −4.45154 | + | 3.92166i | −0.663596 | + | 0.584606i | ||||
\(46\) | −4.22481 | − | 4.69213i | −0.622915 | − | 0.691817i | ||||
\(47\) | −1.42917 | − | 3.53732i | −0.208466 | − | 0.515972i | 0.786336 | − | 0.617799i | \(-0.211976\pi\) |
−0.994802 | + | 0.101827i | \(0.967531\pi\) | |||||||
\(48\) | −6.27868 | + | 25.1824i | −0.906250 | + | 3.63477i | ||||
\(49\) | −6.57510 | + | 11.3884i | −0.939300 | + | 1.62692i | ||||
\(50\) | −4.35637 | + | 12.4803i | −0.616083 | + | 1.76498i | ||||
\(51\) | 12.9018 | + | 4.69586i | 1.80661 | + | 0.657551i | ||||
\(52\) | 10.6434 | + | 21.8223i | 1.47598 | + | 3.02621i | ||||
\(53\) | −11.2644 | − | 1.58311i | −1.54729 | − | 0.217457i | −0.686770 | − | 0.726875i | \(-0.740972\pi\) |
−0.860520 | + | 0.509417i | \(0.829861\pi\) | |||||||
\(54\) | −0.0760936 | − | 2.17904i | −0.0103550 | − | 0.296529i | ||||
\(55\) | 3.39194 | + | 3.58952i | 0.457370 | + | 0.484010i | ||||
\(56\) | −10.9631 | − | 33.7409i | −1.46500 | − | 4.50882i | ||||
\(57\) | 10.1599 | + | 2.04572i | 1.34572 | + | 0.270962i | ||||
\(58\) | 0.252917 | + | 0.778398i | 0.0332096 | + | 0.102209i | ||||
\(59\) | −1.15120 | − | 4.61723i | −0.149874 | − | 0.601112i | −0.997509 | − | 0.0705329i | \(-0.977530\pi\) |
0.847635 | − | 0.530579i | \(-0.178026\pi\) | |||||||
\(60\) | 13.8123 | + | 22.6469i | 1.78316 | + | 2.92370i | ||||
\(61\) | −1.71956 | − | 1.66056i | −0.220167 | − | 0.212613i | 0.576392 | − | 0.817173i | \(-0.304460\pi\) |
−0.796559 | + | 0.604560i | \(0.793349\pi\) | |||||||
\(62\) | −6.92645 | + | 6.68880i | −0.879660 | + | 0.849478i | ||||
\(63\) | −6.65979 | − | 9.87354i | −0.839054 | − | 1.24395i | ||||
\(64\) | 11.5781 | + | 5.15492i | 1.44727 | + | 0.644365i | ||||
\(65\) | 10.3115 | + | 3.47441i | 1.27898 | + | 0.430948i | ||||
\(66\) | 13.8493 | − | 0.968435i | 1.70473 | − | 0.119206i | ||||
\(67\) | −4.16630 | − | 2.60339i | −0.508995 | − | 0.318055i | 0.250997 | − | 0.967988i | \(-0.419242\pi\) |
−0.759992 | + | 0.649933i | \(0.774797\pi\) | |||||||
\(68\) | 14.4059 | − | 24.9517i | 1.74697 | − | 3.02584i | ||||
\(69\) | −3.79954 | + | 4.21982i | −0.457411 | + | 0.508006i | ||||
\(70\) | −23.7235 | − | 11.8907i | −2.83550 | − | 1.42121i | ||||
\(71\) | 5.70965 | + | 3.03587i | 0.677610 | + | 0.360292i | 0.772338 | − | 0.635211i | \(-0.219087\pi\) |
−0.0947280 | + | 0.995503i | \(0.530198\pi\) | |||||||
\(72\) | 20.7646 | + | 2.91827i | 2.44713 | + | 0.343921i | ||||
\(73\) | −5.36039 | + | 7.94711i | −0.627386 | + | 0.930138i | 0.372611 | + | 0.927987i | \(0.378462\pi\) |
−0.999998 | + | 0.00215090i | \(0.999315\pi\) | |||||||
\(74\) | 13.7770 | + | 11.5603i | 1.60155 | + | 1.34386i | ||||
\(75\) | 11.5721 | + | 2.72316i | 1.33623 | + | 0.314443i | ||||
\(76\) | 7.92998 | − | 20.2512i | 0.909631 | − | 2.32297i | ||||
\(77\) | −8.02080 | + | 5.82745i | −0.914054 | + | 0.664099i | ||||
\(78\) | 25.9403 | − | 16.2093i | 2.93716 | − | 1.83534i | ||||
\(79\) | 0.176288 | + | 5.04822i | 0.0198339 | + | 0.567969i | 0.968111 | + | 0.250523i | \(0.0806027\pi\) |
−0.948277 | + | 0.317445i | \(0.897175\pi\) | |||||||
\(80\) | 22.7285 | − | 8.89761i | 2.54113 | − | 0.994783i | ||||
\(81\) | −9.82374 | + | 1.38064i | −1.09153 | + | 0.153404i | ||||
\(82\) | −13.4936 | − | 4.91126i | −1.49011 | − | 0.542357i | ||||
\(83\) | −5.14623 | + | 5.71547i | −0.564873 | + | 0.627355i | −0.956136 | − | 0.292924i | \(-0.905372\pi\) |
0.391263 | + | 0.920279i | \(0.372038\pi\) | |||||||
\(84\) | −48.6481 | + | 21.6595i | −5.30795 | + | 2.36325i | ||||
\(85\) | −3.42438 | − | 12.4499i | −0.371426 | − | 1.35039i | ||||
\(86\) | 0.874548 | − | 3.50762i | 0.0943049 | − | 0.378236i | ||||
\(87\) | 0.672433 | − | 0.299386i | 0.0720924 | − | 0.0320976i | ||||
\(88\) | 1.82459 | − | 17.3598i | 0.194502 | − | 1.85056i | ||||
\(89\) | −5.60784 | + | 1.60802i | −0.594429 | + | 0.170450i | −0.559346 | − | 0.828934i | \(-0.688948\pi\) |
−0.0350838 | + | 0.999384i | \(0.511170\pi\) | |||||||
\(90\) | 12.4633 | − | 9.52170i | 1.31375 | − | 1.00368i | ||||
\(91\) | −9.57568 | + | 19.6331i | −1.00380 | + | 2.05810i | ||||
\(92\) | 7.33617 | + | 9.38987i | 0.764848 | + | 0.978961i | ||||
\(93\) | 6.63367 | + | 5.56631i | 0.687880 | + | 0.577200i | ||||
\(94\) | 3.11683 | + | 9.59260i | 0.321476 | + | 0.989402i | ||||
\(95\) | −3.96354 | − | 8.90451i | −0.406651 | − | 0.913584i | ||||
\(96\) | 9.58935 | − | 29.5130i | 0.978709 | − | 3.01216i | ||||
\(97\) | 9.90157 | − | 6.18718i | 1.00535 | − | 0.628213i | 0.0758838 | − | 0.997117i | \(-0.475822\pi\) |
0.929468 | + | 0.368903i | \(0.120267\pi\) | |||||||
\(98\) | 19.4409 | − | 28.8222i | 1.96382 | − | 2.91149i | ||||
\(99\) | −1.01753 | − | 5.77073i | −0.102266 | − | 0.579980i | ||||
\(100\) | 9.84455 | − | 22.9226i | 0.984455 | − | 2.29226i | ||||
\(101\) | −9.28976 | − | 3.38120i | −0.924366 | − | 0.336442i | −0.164392 | − | 0.986395i | \(-0.552566\pi\) |
−0.759974 | + | 0.649954i | \(0.774788\pi\) | |||||||
\(102\) | −33.1600 | − | 14.7638i | −3.28333 | − | 1.46183i | ||||
\(103\) | −5.95646 | − | 6.61531i | −0.586907 | − | 0.651826i | 0.374412 | − | 0.927262i | \(-0.377844\pi\) |
−0.961319 | + | 0.275436i | \(0.911178\pi\) | |||||||
\(104\) | −14.4070 | − | 35.6586i | −1.41273 | − | 3.49662i | ||||
\(105\) | −8.40504 | + | 22.3364i | −0.820248 | + | 2.17981i | ||||
\(106\) | 29.4159 | + | 6.25255i | 2.85713 | + | 0.607301i | ||||
\(107\) | 5.25360 | + | 9.09950i | 0.507885 | + | 0.879682i | 0.999958 | + | 0.00912838i | \(0.00290569\pi\) |
−0.492074 | + | 0.870554i | \(0.663761\pi\) | |||||||
\(108\) | −0.143608 | + | 4.11240i | −0.0138187 | + | 0.395715i | ||||
\(109\) | −0.956853 | + | 0.924022i | −0.0916499 | + | 0.0885052i | −0.739072 | − | 0.673626i | \(-0.764736\pi\) |
0.647422 | + | 0.762131i | \(0.275847\pi\) | |||||||
\(110\) | −8.28365 | − | 10.0922i | −0.789815 | − | 0.962256i | ||||
\(111\) | 9.04456 | − | 13.4091i | 0.858471 | − | 1.27274i | ||||
\(112\) | 11.8540 | + | 47.5436i | 1.12009 | + | 4.49245i | ||||
\(113\) | −14.2368 | − | 10.3436i | −1.33928 | − | 0.973047i | −0.999470 | − | 0.0325540i | \(-0.989636\pi\) |
−0.339814 | − | 0.940493i | \(-0.610364\pi\) | |||||||
\(114\) | −26.4177 | − | 7.26889i | −2.47425 | − | 0.680794i | ||||
\(115\) | 5.30462 | + | 0.615736i | 0.494658 | + | 0.0574177i | ||||
\(116\) | −0.373681 | − | 1.49875i | −0.0346954 | − | 0.139156i | ||||
\(117\) | −7.94857 | − | 10.1737i | −0.734846 | − | 0.940560i | ||||
\(118\) | 2.18458 | + | 12.3894i | 0.201107 | + | 1.14054i | ||||
\(119\) | 25.6691 | − | 3.60756i | 2.35308 | − | 0.330704i | ||||
\(120\) | −19.3232 | − | 37.3118i | −1.76396 | − | 3.40608i | ||||
\(121\) | 5.98824 | − | 1.27284i | 0.544385 | − | 0.115713i | ||||
\(122\) | 4.22878 | + | 4.69654i | 0.382856 | + | 0.425204i | ||||
\(123\) | −3.12420 | + | 12.5305i | −0.281700 | + | 1.12984i | ||||
\(124\) | 13.9207 | − | 11.6809i | 1.25012 | − | 1.04897i | ||||
\(125\) | −4.21300 | − | 10.3562i | −0.376822 | − | 0.926286i | ||||
\(126\) | 15.7431 | + | 27.2678i | 1.40251 | + | 2.42921i | ||||
\(127\) | 8.14481 | − | 2.33549i | 0.722735 | − | 0.207241i | 0.105949 | − | 0.994372i | \(-0.466212\pi\) |
0.616786 | + | 0.787131i | \(0.288434\pi\) | |||||||
\(128\) | −6.53685 | − | 3.47570i | −0.577781 | − | 0.307212i | ||||
\(129\) | −3.21947 | − | 0.452467i | −0.283459 | − | 0.0398375i | ||||
\(130\) | −26.5539 | − | 11.0648i | −2.32893 | − | 0.970443i | ||||
\(131\) | 5.61054 | − | 13.8866i | 0.490195 | − | 1.21328i | −0.456088 | − | 0.889935i | \(-0.650750\pi\) |
0.946283 | − | 0.323340i | \(-0.104806\pi\) | |||||||
\(132\) | −26.2009 | −2.28050 | ||||||||
\(133\) | 18.7496 | − | 5.59508i | 1.62580 | − | 0.485155i | ||||
\(134\) | 10.5077 | + | 7.63431i | 0.907730 | + | 0.659504i | ||||
\(135\) | 1.26659 | + | 1.34037i | 0.109011 | + | 0.115360i | ||||
\(136\) | −25.5206 | + | 37.8359i | −2.18837 | + | 3.24440i | ||||
\(137\) | −3.44262 | + | 7.05841i | −0.294123 | + | 0.603041i | −0.993770 | − | 0.111447i | \(-0.964451\pi\) |
0.699648 | + | 0.714488i | \(0.253340\pi\) | |||||||
\(138\) | 10.7988 | − | 10.4283i | 0.919255 | − | 0.887714i | ||||
\(139\) | 17.2536 | − | 4.94740i | 1.46344 | − | 0.419633i | 0.552964 | − | 0.833205i | \(-0.313497\pi\) |
0.910471 | + | 0.413572i | \(0.135719\pi\) | |||||||
\(140\) | 43.0978 | + | 25.5093i | 3.64243 | + | 2.15593i | ||||
\(141\) | 8.28674 | − | 3.68949i | 0.697870 | − | 0.310712i | ||||
\(142\) | −14.4983 | − | 9.05952i | −1.21667 | − | 0.760258i | ||||
\(143\) | −8.23308 | + | 6.90837i | −0.688484 | + | 0.577707i | ||||
\(144\) | −28.3277 | − | 6.02125i | −2.36065 | − | 0.501771i | ||||
\(145\) | −0.595714 | − | 0.352599i | −0.0494714 | − | 0.0292818i | ||||
\(146\) | 15.6026 | − | 19.9705i | 1.29128 | − | 1.65277i | ||||
\(147\) | −27.6065 | − | 14.6787i | −2.27695 | − | 1.21068i | ||||
\(148\) | −24.4156 | − | 23.5778i | −2.00695 | − | 1.93809i | ||||
\(149\) | −7.07971 | + | 2.57680i | −0.579992 | + | 0.211100i | −0.615322 | − | 0.788276i | \(-0.710974\pi\) |
0.0353298 | + | 0.999376i | \(0.488752\pi\) | |||||||
\(150\) | −30.0170 | − | 9.31593i | −2.45088 | − | 0.760642i | ||||
\(151\) | −16.6843 | −1.35775 | −0.678875 | − | 0.734254i | \(-0.737532\pi\) | ||||
−0.678875 | + | 0.734254i | \(0.737532\pi\) | |||||||
\(152\) | −14.7683 | + | 31.1238i | −1.19786 | + | 2.52448i | ||||
\(153\) | −4.73434 | + | 14.5708i | −0.382749 | + | 1.17798i | ||||
\(154\) | 22.2281 | − | 13.8896i | 1.79119 | − | 1.11926i | ||||
\(155\) | 0.656120 | − | 8.11758i | 0.0527008 | − | 0.652020i | ||||
\(156\) | −50.9706 | + | 27.1015i | −4.08091 | + | 2.16986i | ||||
\(157\) | 3.22640 | − | 18.2978i | 0.257494 | − | 1.46032i | −0.532093 | − | 0.846686i | \(-0.678594\pi\) |
0.789588 | − | 0.613638i | \(-0.210294\pi\) | |||||||
\(158\) | 0.466061 | − | 13.3462i | 0.0370778 | − | 1.06177i | ||||
\(159\) | 2.82707 | − | 26.8977i | 0.224201 | − | 2.13313i | ||||
\(160\) | −27.8519 | + | 8.71704i | −2.20189 | + | 0.689143i | ||||
\(161\) | −2.59352 | + | 10.4021i | −0.204398 | + | 0.819797i | ||||
\(162\) | 26.1629 | − | 1.82949i | 2.05555 | − | 0.143738i | ||||
\(163\) | −11.0396 | + | 4.91516i | −0.864691 | + | 0.384985i | −0.790649 | − | 0.612270i | \(-0.790257\pi\) |
−0.0740421 | + | 0.997255i | \(0.523590\pi\) | |||||||
\(164\) | 24.7572 | + | 11.0226i | 1.93321 | + | 0.860722i | ||||
\(165\) | −8.24789 | + | 8.35773i | −0.642097 | + | 0.650649i | ||||
\(166\) | 14.6263 | − | 14.1244i | 1.13522 | − | 1.09627i | ||||
\(167\) | −0.523830 | + | 0.278525i | −0.0405352 | + | 0.0215529i | −0.489615 | − | 0.871938i | \(-0.662863\pi\) |
0.449080 | + | 0.893491i | \(0.351752\pi\) | |||||||
\(168\) | 79.2649 | − | 28.8501i | 6.11542 | − | 2.22583i | ||||
\(169\) | −4.00069 | + | 9.90205i | −0.307745 | + | 0.761696i | ||||
\(170\) | 6.73515 | + | 33.4659i | 0.516562 | + | 2.56672i | ||||
\(171\) | −1.88571 | + | 11.4100i | −0.144204 | + | 0.872542i | ||||
\(172\) | −2.10825 | + | 6.48851i | −0.160752 | + | 0.494744i | ||||
\(173\) | 4.72593 | + | 0.330469i | 0.359306 | + | 0.0251251i | 0.248269 | − | 0.968691i | \(-0.420138\pi\) |
0.111037 | + | 0.993816i | \(0.464583\pi\) | |||||||
\(174\) | −1.82863 | + | 0.665567i | −0.138628 | + | 0.0504565i | ||||
\(175\) | 21.7041 | − | 5.71744i | 1.64067 | − | 0.432198i | ||||
\(176\) | −4.18638 | + | 23.7422i | −0.315560 | + | 1.78963i | ||||
\(177\) | 10.8759 | − | 3.11860i | 0.817480 | − | 0.234409i | ||||
\(178\) | 15.0862 | − | 3.20667i | 1.13076 | − | 0.240350i | ||||
\(179\) | −1.73405 | − | 1.92585i | −0.129609 | − | 0.143945i | 0.674847 | − | 0.737958i | \(-0.264210\pi\) |
−0.804456 | + | 0.594013i | \(0.797543\pi\) | |||||||
\(180\) | −24.7177 | + | 16.2853i | −1.84235 | + | 1.21384i | ||||
\(181\) | 19.6419 | + | 12.2736i | 1.45997 | + | 0.912292i | 0.999699 | + | 0.0245151i | \(0.00780419\pi\) |
0.460273 | + | 0.887777i | \(0.347751\pi\) | |||||||
\(182\) | 28.8748 | − | 50.0126i | 2.14034 | − | 3.70718i | ||||
\(183\) | 3.80311 | − | 4.22378i | 0.281134 | − | 0.312231i | ||||
\(184\) | −10.5548 | − | 15.6481i | −0.778107 | − | 1.15359i | ||||
\(185\) | −15.2069 | + | 0.366070i | −1.11803 | + | 0.0269140i | ||||
\(186\) | −16.4686 | − | 15.9035i | −1.20753 | − | 1.16610i | ||||
\(187\) | 12.2597 | + | 3.51541i | 0.896519 | + | 0.257073i | ||||
\(188\) | −4.60507 | − | 18.4699i | −0.335859 | − | 1.34706i | ||||
\(189\) | −2.99506 | + | 2.17604i | −0.217858 | + | 0.158283i | ||||
\(190\) | 8.81095 | + | 24.2150i | 0.639214 | + | 1.75674i | ||||
\(191\) | 12.7884 | + | 9.29135i | 0.925339 | + | 0.672298i | 0.944847 | − | 0.327511i | \(-0.106210\pi\) |
−0.0195080 | + | 0.999810i | \(0.506210\pi\) | |||||||
\(192\) | −11.2883 | + | 27.9395i | −0.814662 | + | 2.01636i | ||||
\(193\) | 12.0626 | − | 4.39041i | 0.868282 | − | 0.316029i | 0.130811 | − | 0.991407i | \(-0.458242\pi\) |
0.737471 | + | 0.675379i | \(0.236020\pi\) | |||||||
\(194\) | −27.2546 | + | 14.4915i | −1.95676 | + | 1.04043i | ||||
\(195\) | −7.40021 | + | 24.7903i | −0.529940 | + | 1.77527i | ||||
\(196\) | −40.3949 | + | 51.7031i | −2.88535 | + | 3.69308i | ||||
\(197\) | −11.6318 | + | 2.47242i | −0.828733 | + | 0.176153i | −0.602701 | − | 0.797967i | \(-0.705909\pi\) |
−0.226032 | + | 0.974120i | \(0.572575\pi\) | |||||||
\(198\) | 1.61933 | + | 15.4069i | 0.115081 | + | 1.09492i | ||||
\(199\) | −4.27226 | + | 3.58485i | −0.302852 | + | 0.254123i | −0.781530 | − | 0.623867i | \(-0.785561\pi\) |
0.478678 | + | 0.877990i | \(0.341116\pi\) | |||||||
\(200\) | −18.0888 | + | 35.1336i | −1.27907 | + | 2.48432i | ||||
\(201\) | 5.84043 | − | 10.1159i | 0.411952 | − | 0.713522i | ||||
\(202\) | 23.8765 | + | 10.6305i | 1.67994 | + | 0.747958i | ||||
\(203\) | 0.855570 | − | 1.09508i | 0.0600493 | − | 0.0768596i | ||||
\(204\) | 60.4853 | + | 32.1606i | 4.23482 | + | 2.25169i | ||||
\(205\) | 11.3095 | − | 4.42736i | 0.789889 | − | 0.309220i | ||||
\(206\) | 14.4891 | + | 18.5452i | 1.00950 | + | 1.29210i | ||||
\(207\) | −4.85387 | − | 4.07288i | −0.337368 | − | 0.283085i | ||||
\(208\) | 16.4142 | + | 50.5176i | 1.13812 | + | 3.50277i | ||||
\(209\) | 9.54729 | + | 1.23733i | 0.660400 | + | 0.0855876i | ||||
\(210\) | 26.2860 | − | 57.3580i | 1.81391 | − | 3.95808i | ||||
\(211\) | 11.6871 | + | 0.817242i | 0.804573 | + | 0.0562612i | 0.466119 | − | 0.884722i | \(-0.345652\pi\) |
0.338454 | + | 0.940983i | \(0.390096\pi\) | |||||||
\(212\) | −54.5570 | − | 15.6440i | −3.74699 | − | 1.07443i | ||||
\(213\) | −6.74001 | + | 13.8191i | −0.461818 | + | 0.946868i | ||||
\(214\) | −12.1773 | − | 24.9671i | −0.832421 | − | 1.70672i | ||||
\(215\) | 1.40608 | + | 2.71505i | 0.0958941 | + | 0.185165i | ||||
\(216\) | 0.681323 | − | 6.48236i | 0.0463582 | − | 0.441069i | ||||
\(217\) | 15.9919 | + | 3.39918i | 1.08560 | + | 0.230751i | ||||
\(218\) | 2.69393 | − | 2.26047i | 0.182456 | − | 0.153099i | ||||
\(219\) | −19.3286 | − | 12.0778i | −1.30610 | − | 0.816144i | ||||
\(220\) | 14.2667 | + | 20.0907i | 0.961858 | + | 1.35452i | ||||
\(221\) | 27.4860 | − | 5.84232i | 1.84891 | − | 0.392997i | ||||
\(222\) | −26.3262 | + | 33.6960i | −1.76690 | + | 2.26153i | ||||
\(223\) | −7.85567 | − | 16.1065i | −0.526055 | − | 1.07857i | −0.982055 | − | 0.188592i | \(-0.939607\pi\) |
0.456001 | − | 0.889979i | \(-0.349281\pi\) | |||||||
\(224\) | −10.1735 | − | 57.6970i | −0.679748 | − | 3.85504i | ||||
\(225\) | −2.58619 | + | 13.0111i | −0.172413 | + | 0.867409i | ||||
\(226\) | 35.6393 | + | 29.9049i | 2.37069 | + | 1.98925i | ||||
\(227\) | −4.14146 | + | 3.00895i | −0.274878 | + | 0.199711i | −0.716680 | − | 0.697402i | \(-0.754339\pi\) |
0.441802 | + | 0.897113i | \(0.354339\pi\) | |||||||
\(228\) | 48.7786 | + | 17.1627i | 3.23044 | + | 1.13663i | ||||
\(229\) | −3.28536 | + | 10.1113i | −0.217103 | + | 0.668174i | 0.781895 | + | 0.623411i | \(0.214253\pi\) |
−0.998998 | + | 0.0447637i | \(0.985747\pi\) | |||||||
\(230\) | −13.8764 | − | 2.60216i | −0.914983 | − | 0.171582i | ||||
\(231\) | −14.5126 | − | 18.5753i | −0.954861 | − | 1.22217i | ||||
\(232\) | 0.424869 | + | 2.40955i | 0.0278940 | + | 0.158195i | ||||
\(233\) | 11.0072 | − | 1.54696i | 0.721105 | − | 0.101345i | 0.230932 | − | 0.972970i | \(-0.425823\pi\) |
0.490173 | + | 0.871625i | \(0.336934\pi\) | |||||||
\(234\) | 19.0867 | + | 28.2971i | 1.24773 | + | 1.84984i | ||||
\(235\) | −7.34130 | − | 4.34526i | −0.478893 | − | 0.283454i | ||||
\(236\) | −2.48178 | − | 23.6126i | −0.161550 | − | 1.53705i | ||||
\(237\) | −11.9809 | + | 0.837783i | −0.778240 | + | 0.0544199i | ||||
\(238\) | −68.3628 | + | 4.78040i | −4.43130 | + | 0.309867i | ||||
\(239\) | 2.71331 | + | 25.8155i | 0.175510 | + | 1.66986i | 0.628091 | + | 0.778140i | \(0.283837\pi\) |
−0.452581 | + | 0.891723i | \(0.649497\pi\) | |||||||
\(240\) | 23.0283 | + | 53.2689i | 1.48647 | + | 3.43849i | ||||
\(241\) | −6.41405 | − | 9.50923i | −0.413166 | − | 0.612543i | 0.563807 | − | 0.825906i | \(-0.309336\pi\) |
−0.976973 | + | 0.213363i | \(0.931558\pi\) | |||||||
\(242\) | −16.0276 | + | 2.25253i | −1.03029 | + | 0.144798i | ||||
\(243\) | −3.66617 | − | 20.7919i | −0.235185 | − | 1.33380i | ||||
\(244\) | −7.34306 | − | 9.39868i | −0.470091 | − | 0.601689i | ||||
\(245\) | 3.77651 | + | 29.1612i | 0.241273 | + | 1.86304i | ||||
\(246\) | 10.5504 | − | 32.4707i | 0.672667 | − | 2.07026i | ||||
\(247\) | 19.8529 | − | 7.46840i | 1.26321 | − | 0.475203i | ||||
\(248\) | −23.2876 | + | 16.9194i | −1.47876 | + | 1.07438i | ||||
\(249\) | −14.0080 | − | 11.7541i | −0.887723 | − | 0.744888i | ||||
\(250\) | 9.20113 | + | 28.0895i | 0.581931 | + | 1.77653i | ||||
\(251\) | −4.13415 | − | 23.4459i | −0.260945 | − | 1.47989i | −0.780338 | − | 0.625359i | \(-0.784953\pi\) |
0.519392 | − | 0.854536i | \(-0.326158\pi\) | |||||||
\(252\) | −26.0491 | − | 53.4085i | −1.64094 | − | 3.36442i | ||||
\(253\) | −3.24741 | + | 4.15650i | −0.204163 | + | 0.261317i | ||||
\(254\) | −21.9111 | + | 4.65736i | −1.37483 | + | 0.292229i | ||||
\(255\) | 29.2992 | − | 9.17002i | 1.83479 | − | 0.574249i | ||||
\(256\) | −4.89732 | − | 3.06019i | −0.306083 | − | 0.191262i | ||||
\(257\) | −2.66646 | + | 2.23743i | −0.166329 | + | 0.139567i | −0.722153 | − | 0.691733i | \(-0.756847\pi\) |
0.555824 | + | 0.831300i | \(0.312403\pi\) | |||||||
\(258\) | 8.40731 | + | 1.78703i | 0.523416 | + | 0.111256i | ||||
\(259\) | 3.19194 | − | 30.3693i | 0.198338 | − | 1.88706i | ||||
\(260\) | 48.5353 | + | 24.3269i | 3.01003 | + | 1.50869i | ||||
\(261\) | 0.360060 | + | 0.738233i | 0.0222872 | + | 0.0456955i | ||||
\(262\) | −17.3577 | + | 35.5886i | −1.07236 | + | 2.19867i | ||||
\(263\) | −17.8986 | − | 5.13233i | −1.10367 | − | 0.316473i | −0.326144 | − | 0.945320i | \(-0.605750\pi\) |
−0.777529 | + | 0.628847i | \(0.783527\pi\) | |||||||
\(264\) | 41.4015 | + | 2.89508i | 2.54809 | + | 0.178180i | ||||
\(265\) | −22.1644 | + | 12.4783i | −1.36155 | + | 0.766536i | ||||
\(266\) | −50.4805 | + | 11.2982i | −3.09516 | + | 0.692737i | ||||
\(267\) | −4.28628 | − | 13.1918i | −0.262316 | − | 0.807326i | ||||
\(268\) | −18.7774 | − | 15.7561i | −1.14701 | − | 0.962458i | ||||
\(269\) | −7.19605 | − | 9.21053i | −0.438751 | − | 0.561576i | 0.516912 | − | 0.856039i | \(-0.327082\pi\) |
−0.955663 | + | 0.294463i | \(0.904859\pi\) | |||||||
\(270\) | −3.09321 | − | 3.76855i | −0.188247 | − | 0.229347i | ||||
\(271\) | −25.0325 | − | 13.3100i | −1.52062 | − | 0.808527i | −0.521616 | − | 0.853181i | \(-0.674671\pi\) |
−0.999003 | + | 0.0446535i | \(0.985782\pi\) | |||||||
\(272\) | 38.8069 | − | 49.6706i | 2.35301 | − | 3.01172i | ||||
\(273\) | −47.4463 | − | 21.1245i | −2.87158 | − | 1.27851i | ||||
\(274\) | 10.3810 | − | 17.9804i | 0.627138 | − | 1.08623i | ||||
\(275\) | 10.8997 | + | 1.77357i | 0.657278 | + | 0.106950i | ||||
\(276\) | −21.7033 | + | 18.2112i | −1.30639 | + | 1.09619i | ||||
\(277\) | −1.28336 | − | 12.2104i | −0.0771098 | − | 0.733651i | −0.962954 | − | 0.269667i | \(-0.913086\pi\) |
0.885844 | − | 0.463984i | \(-0.153580\pi\) | |||||||
\(278\) | −46.4157 | + | 9.86596i | −2.78383 | + | 0.591721i | ||||
\(279\) | −5.94917 | + | 7.61459i | −0.356168 | + | 0.455874i | ||||
\(280\) | −65.2826 | − | 45.0708i | −3.90138 | − | 2.69349i | ||||
\(281\) | 16.8101 | − | 8.93811i | 1.00281 | − | 0.533203i | 0.114975 | − | 0.993368i | \(-0.463321\pi\) |
0.887833 | + | 0.460166i | \(0.152210\pi\) | |||||||
\(282\) | −22.5352 | + | 8.20213i | −1.34195 | + | 0.488430i | ||||
\(283\) | 1.05418 | − | 2.60919i | 0.0626645 | − | 0.155100i | −0.892603 | − | 0.450844i | \(-0.851123\pi\) |
0.955267 | + | 0.295744i | \(0.0955675\pi\) | |||||||
\(284\) | 26.1026 | + | 18.9646i | 1.54890 | + | 1.12534i | ||||
\(285\) | 20.8299 | − | 10.1570i | 1.23385 | − | 0.601648i | ||||
\(286\) | 22.9872 | − | 16.7012i | 1.35926 | − | 0.987564i | ||||
\(287\) | 5.89840 | + | 23.6572i | 0.348172 | + | 1.39644i | ||||
\(288\) | 33.2861 | + | 9.54463i | 1.96140 | + | 0.562423i | ||||
\(289\) | −11.7579 | − | 11.3545i | −0.691644 | − | 0.667913i | ||||
\(290\) | 1.50606 | + | 1.03978i | 0.0884389 | + | 0.0610577i | ||||
\(291\) | 15.5235 | + | 23.0145i | 0.910004 | + | 1.34914i | ||||
\(292\) | −32.0035 | + | 35.5435i | −1.87286 | + | 2.08002i | ||||
\(293\) | 5.67117 | − | 9.82275i | 0.331313 | − | 0.573851i | −0.651457 | − | 0.758686i | \(-0.725842\pi\) |
0.982770 | + | 0.184835i | \(0.0591751\pi\) | |||||||
\(294\) | 70.1001 | + | 43.8034i | 4.08832 | + | 2.55467i | ||||
\(295\) | −8.31334 | − | 6.64144i | −0.484021 | − | 0.386680i | ||||
\(296\) | 35.9752 | + | 39.9545i | 2.09101 | + | 2.32231i | ||||
\(297\) | −1.78169 | + | 0.378710i | −0.103384 | + | 0.0219750i | ||||
\(298\) | 19.1466 | − | 5.49021i | 1.10913 | − | 0.318039i | ||||
\(299\) | −2.01806 | + | 11.4450i | −0.116707 | + | 0.661880i | ||||
\(300\) | 55.2853 | + | 21.4904i | 3.19190 | + | 1.24075i | ||||
\(301\) | −5.76783 | + | 2.09932i | −0.332452 | + | 0.121003i | ||||
\(302\) | 44.0018 | + | 3.07690i | 2.53202 | + | 0.177056i | ||||
\(303\) | 7.26349 | − | 22.3547i | 0.417277 | − | 1.28425i | ||||
\(304\) | 23.3459 | − | 41.4588i | 1.33898 | − | 2.37783i | ||||
\(305\) | −5.30960 | − | 0.616314i | −0.304027 | − | 0.0352901i | ||||
\(306\) | 15.1731 | − | 37.5547i | 0.867388 | − | 2.14686i | ||||
\(307\) | 10.7127 | − | 3.89911i | 0.611408 | − | 0.222534i | −0.0177114 | − | 0.999843i | \(-0.505638\pi\) |
0.629119 | + | 0.777309i | \(0.283416\pi\) | |||||||
\(308\) | −43.6764 | + | 23.2231i | −2.48869 | + | 1.32326i | ||||
\(309\) | 15.2249 | − | 14.7026i | 0.866117 | − | 0.836399i | ||||
\(310\) | −3.22743 | + | 21.2876i | −0.183306 | + | 1.20906i | ||||
\(311\) | 16.8305 | + | 7.49341i | 0.954368 | + | 0.424912i | 0.824023 | − | 0.566557i | \(-0.191725\pi\) |
0.130345 | + | 0.991469i | \(0.458391\pi\) | |||||||
\(312\) | 83.5360 | − | 37.1926i | 4.72930 | − | 2.10562i | ||||
\(313\) | −4.44892 | + | 0.311099i | −0.251468 | + | 0.0175843i | −0.194934 | − | 0.980816i | \(-0.562449\pi\) |
−0.0565337 | + | 0.998401i | \(0.518005\pi\) | |||||||
\(314\) | −11.8835 | + | 47.6621i | −0.670624 | + | 2.68973i | ||||
\(315\) | −25.2367 | − | 8.50338i | −1.42193 | − | 0.479111i | ||||
\(316\) | −2.63444 | + | 25.0651i | −0.148199 | + | 1.41002i | ||||
\(317\) | −0.0986862 | + | 2.82600i | −0.00554277 | + | 0.158724i | 0.993463 | + | 0.114151i | \(0.0364149\pi\) |
−0.999006 | + | 0.0445728i | \(0.985807\pi\) | |||||||
\(318\) | −12.4163 | + | 70.4164i | −0.696272 | + | 3.94876i | ||||
\(319\) | 0.603711 | − | 0.320999i | 0.0338013 | − | 0.0179725i | ||||
\(320\) | 27.5705 | − | 6.55753i | 1.54124 | − | 0.366577i | ||||
\(321\) | −21.1861 | + | 13.2386i | −1.18250 | + | 0.738905i | ||||
\(322\) | 8.75828 | − | 26.9552i | 0.488080 | − | 1.50216i | ||||
\(323\) | −20.5213 | − | 14.5753i | −1.14184 | − | 0.810992i | ||||
\(324\) | −49.4967 | −2.74981 | ||||||||
\(325\) | 23.0386 | − | 7.82412i | 1.27795 | − | 0.434004i | ||||
\(326\) | 30.0214 | − | 10.9269i | 1.66273 | − | 0.605186i | ||||
\(327\) | −2.27504 | − | 2.19698i | −0.125810 | − | 0.121493i | ||||
\(328\) | −37.9023 | − | 20.1530i | −2.09280 | − | 1.11276i | ||||
\(329\) | 10.5436 | − | 13.4952i | 0.581290 | − | 0.744017i | ||||
\(330\) | 23.2936 | − | 20.5209i | 1.28227 | − | 1.12964i | ||||
\(331\) | −27.4301 | − | 5.83044i | −1.50769 | − | 0.320470i | −0.621363 | − | 0.783523i | \(-0.713421\pi\) |
−0.886331 | + | 0.463053i | \(0.846754\pi\) | |||||||
\(332\) | −29.3957 | + | 24.6660i | −1.61330 | + | 1.35372i | ||||
\(333\) | 15.3060 | + | 9.56422i | 0.838761 | + | 0.524116i | ||||
\(334\) | 1.43287 | − | 0.637955i | 0.0784032 | − | 0.0349073i | ||||
\(335\) | −10.9370 | + | 1.02981i | −0.597552 | + | 0.0562643i | ||||
\(336\) | −111.989 | + | 32.1123i | −6.10949 | + | 1.75187i | ||||
\(337\) | 16.1758 | − | 15.6208i | 0.881153 | − | 0.850920i | −0.108545 | − | 0.994092i | \(-0.534619\pi\) |
0.989698 | + | 0.143172i | \(0.0457302\pi\) | |||||||
\(338\) | 12.3772 | − | 25.3770i | 0.673231 | − | 1.38033i | ||||
\(339\) | 23.3970 | − | 34.6875i | 1.27075 | − | 1.88397i | ||||
\(340\) | −8.27425 | − | 63.8916i | −0.448734 | − | 3.46501i | ||||
\(341\) | 6.50779 | + | 4.72818i | 0.352416 | + | 0.256046i | ||||
\(342\) | 7.07742 | − | 29.7439i | 0.382703 | − | 1.60837i | ||||
\(343\) | −27.6076 | −1.49067 | ||||||||
\(344\) | 4.04831 | − | 10.0199i | 0.218270 | − | 0.540237i | ||||
\(345\) | −1.02293 | + | 12.6558i | −0.0550729 | + | 0.681368i | ||||
\(346\) | −12.4028 | − | 1.74310i | −0.666780 | − | 0.0937097i | ||||
\(347\) | 30.0206 | + | 15.9622i | 1.61159 | + | 0.856896i | 0.997720 | + | 0.0674874i | \(0.0214983\pi\) |
0.613868 | + | 0.789409i | \(0.289613\pi\) | |||||||
\(348\) | 3.53030 | − | 1.01230i | 0.189244 | − | 0.0542649i | ||||
\(349\) | 2.37924 | + | 4.12097i | 0.127358 | + | 0.220591i | 0.922652 | − | 0.385633i | \(-0.126017\pi\) |
−0.795294 | + | 0.606224i | \(0.792684\pi\) | |||||||
\(350\) | −58.2948 | + | 11.0760i | −3.11599 | + | 0.592039i | ||||
\(351\) | −3.07433 | + | 2.57967i | −0.164095 | + | 0.137692i | ||||
\(352\) | 6.97360 | − | 27.9696i | 0.371694 | − | 1.49078i | ||||
\(353\) | −7.75098 | − | 8.60833i | −0.412543 | − | 0.458175i | 0.500682 | − | 0.865631i | \(-0.333083\pi\) |
−0.913225 | + | 0.407456i | \(0.866416\pi\) | |||||||
\(354\) | −29.2582 | + | 6.21902i | −1.55506 | + | 0.330537i | ||||
\(355\) | 14.2664 | − | 2.35641i | 0.757182 | − | 0.125065i | ||||
\(356\) | −28.8243 | + | 4.05099i | −1.52768 | + | 0.214702i | ||||
\(357\) | 10.7022 | + | 60.6952i | 0.566420 | + | 3.21233i | ||||
\(358\) | 4.21806 | + | 5.39888i | 0.222932 | + | 0.285339i | ||||
\(359\) | −0.115512 | − | 0.463294i | −0.00609651 | − | 0.0244517i | 0.967170 | − | 0.254129i | \(-0.0817886\pi\) |
−0.973267 | + | 0.229677i | \(0.926233\pi\) | |||||||
\(360\) | 40.8573 | − | 23.0022i | 2.15337 | − | 1.21232i | ||||
\(361\) | −16.9638 | − | 8.55741i | −0.892832 | − | 0.450390i | ||||
\(362\) | −49.5384 | − | 35.9918i | −2.60368 | − | 1.89169i | ||||
\(363\) | 3.52139 | + | 14.1235i | 0.184825 | + | 0.741293i | ||||
\(364\) | −60.9454 | + | 90.3553i | −3.19441 | + | 4.73591i | ||||
\(365\) | 1.26338 | + | 21.3976i | 0.0661282 | + | 1.12000i | ||||
\(366\) | −10.8089 | + | 10.4381i | −0.564992 | + | 0.545607i | ||||
\(367\) | −0.351491 | + | 10.0654i | −0.0183477 | + | 0.525408i | 0.955071 | + | 0.296376i | \(0.0957783\pi\) |
−0.973419 | + | 0.229032i | \(0.926444\pi\) | |||||||
\(368\) | 13.0345 | + | 22.5764i | 0.679470 | + | 1.17688i | ||||
\(369\) | −14.0956 | − | 2.99611i | −0.733787 | − | 0.155971i | ||||
\(370\) | 40.1729 | + | 1.83900i | 2.08849 | + | 0.0956048i | ||||
\(371\) | −19.1281 | − | 47.3437i | −0.993082 | − | 2.45796i | ||||
\(372\) | 28.9110 | + | 32.1089i | 1.49896 | + | 1.66477i | ||||
\(373\) | 23.8152 | + | 10.6032i | 1.23310 | + | 0.549013i | 0.916686 | − | 0.399607i | \(-0.130854\pi\) |
0.316417 | + | 0.948620i | \(0.397520\pi\) | |||||||
\(374\) | −31.6844 | − | 11.5322i | −1.63836 | − | 0.596315i | ||||
\(375\) | 24.2586 | − | 10.8702i | 1.25271 | − | 0.561335i | ||||
\(376\) | 5.23589 | + | 29.6942i | 0.270020 | + | 1.53136i | ||||
\(377\) | 0.842411 | − | 1.24893i | 0.0433864 | − | 0.0643229i | ||||
\(378\) | 8.30021 | − | 5.18655i | 0.426917 | − | 0.266767i | ||||
\(379\) | −5.11386 | + | 15.7388i | −0.262681 | + | 0.808450i | 0.729537 | + | 0.683941i | \(0.239736\pi\) |
−0.992218 | + | 0.124509i | \(0.960264\pi\) | |||||||
\(380\) | −13.4002 | − | 46.7484i | −0.687413 | − | 2.39814i | ||||
\(381\) | 6.22539 | + | 19.1598i | 0.318936 | + | 0.981585i | ||||
\(382\) | −32.0136 | − | 26.8626i | −1.63796 | − | 1.37441i | ||||
\(383\) | 1.13505 | + | 1.45280i | 0.0579984 | + | 0.0742345i | 0.816135 | − | 0.577861i | \(-0.196112\pi\) |
−0.758137 | + | 0.652095i | \(0.773890\pi\) | |||||||
\(384\) | 7.71649 | − | 15.8211i | 0.393781 | − | 0.807370i | ||||
\(385\) | −6.34119 | + | 21.2427i | −0.323177 | + | 1.08263i | ||||
\(386\) | −32.6224 | + | 9.35434i | −1.66044 | + | 0.476123i | ||||
\(387\) | 0.379211 | − | 3.60795i | 0.0192764 | − | 0.183402i | ||||
\(388\) | 53.2188 | − | 23.6945i | 2.70178 | − | 1.20291i | ||||
\(389\) | 0.164527 | − | 0.659884i | 0.00834187 | − | 0.0334574i | −0.965981 | − | 0.258615i | \(-0.916734\pi\) |
0.974322 | + | 0.225157i | \(0.0722896\pi\) | |||||||
\(390\) | 24.0885 | − | 64.0151i | 1.21977 | − | 3.24153i | ||||
\(391\) | 12.5987 | − | 5.60928i | 0.637141 | − | 0.283674i | ||||
\(392\) | 69.5431 | − | 77.2355i | 3.51246 | − | 3.90098i | ||||
\(393\) | 33.4626 | + | 12.1794i | 1.68796 | + | 0.614369i | ||||
\(394\) | 31.1327 | − | 4.37542i | 1.56844 | − | 0.220430i | ||||
\(395\) | 7.16610 | + | 8.73068i | 0.360566 | + | 0.439288i | ||||
\(396\) | −1.02035 | − | 29.2191i | −0.0512746 | − | 1.46831i | ||||
\(397\) | 0.129448 | − | 0.0808882i | 0.00649682 | − | 0.00405966i | −0.526667 | − | 0.850072i | \(-0.676559\pi\) |
0.533164 | + | 0.846012i | \(0.321003\pi\) | |||||||
\(398\) | 11.9284 | − | 8.66649i | 0.597917 | − | 0.434412i | ||||
\(399\) | 14.8508 | + | 44.0883i | 0.743468 | + | 2.20718i | ||||
\(400\) | 28.3072 | − | 46.6634i | 1.41536 | − | 2.33317i | ||||
\(401\) | 3.72657 | + | 3.12697i | 0.186096 | + | 0.156153i | 0.731076 | − | 0.682296i | \(-0.239018\pi\) |
−0.544980 | + | 0.838449i | \(0.683463\pi\) | |||||||
\(402\) | −17.2686 | + | 25.6018i | −0.861280 | + | 1.27690i | ||||
\(403\) | 17.5508 | + | 2.46660i | 0.874267 | + | 0.122870i | ||||
\(404\) | −43.5517 | − | 23.1569i | −2.16678 | − | 1.15210i | ||||
\(405\) | −15.5813 | + | 15.7888i | −0.774239 | + | 0.784550i | ||||
\(406\) | −2.45836 | + | 2.73029i | −0.122006 | + | 0.135502i | ||||
\(407\) | 7.51227 | − | 13.0116i | 0.372369 | − | 0.644963i | ||||
\(408\) | −92.0226 | − | 57.5021i | −4.55580 | − | 2.84678i | ||||
\(409\) | 17.9766 | − | 1.25705i | 0.888885 | − | 0.0621569i | 0.381992 | − | 0.924166i | \(-0.375238\pi\) |
0.506893 | + | 0.862009i | \(0.330794\pi\) | |||||||
\(410\) | −30.6432 | + | 9.59065i | −1.51336 | + | 0.473648i | ||||
\(411\) | −17.0577 | − | 7.59460i | −0.841397 | − | 0.374614i | ||||
\(412\) | −24.8365 | − | 36.8216i | −1.22361 | − | 1.81407i | ||||
\(413\) | 15.3657 | − | 14.8384i | 0.756095 | − | 0.730152i | ||||
\(414\) | 12.0501 | + | 11.6366i | 0.592229 | + | 0.571909i | ||||
\(415\) | −1.38550 | + | 17.1415i | −0.0680115 | + | 0.841445i | ||||
\(416\) | −15.3647 | − | 61.6246i | −0.753319 | − | 3.02140i | ||||
\(417\) | 13.1876 | + | 40.5873i | 0.645800 | + | 1.98757i | ||||
\(418\) | −24.9510 | − | 5.02392i | −1.22039 | − | 0.245728i | ||||
\(419\) | −1.47602 | − | 4.54273i | −0.0721085 | − | 0.221927i | 0.908507 | − | 0.417870i | \(-0.137223\pi\) |
−0.980615 | + | 0.195943i | \(0.937223\pi\) | |||||||
\(420\) | −57.0386 | + | 104.525i | −2.78320 | + | 5.10030i | ||||
\(421\) | −0.469669 | − | 13.4496i | −0.0228903 | − | 0.655492i | −0.955566 | − | 0.294776i | \(-0.904755\pi\) |
0.932676 | − | 0.360715i | \(-0.117467\pi\) | |||||||
\(422\) | −30.6718 | − | 4.31065i | −1.49308 | − | 0.209839i | ||||
\(423\) | 4.43721 | + | 9.09763i | 0.215745 | + | 0.442342i | ||||
\(424\) | 84.4799 | + | 30.7482i | 4.10271 | + | 1.49326i | ||||
\(425\) | −22.9852 | − | 17.4733i | −1.11495 | − | 0.847580i | ||||
\(426\) | 20.3240 | − | 35.2023i | 0.984703 | − | 1.70556i | ||||
\(427\) | 2.59596 | − | 10.4118i | 0.125627 | − | 0.503864i | ||||
\(428\) | 19.6388 | + | 48.6076i | 0.949275 | + | 2.34954i | ||||
\(429\) | −17.0987 | − | 18.9901i | −0.825534 | − | 0.916849i | ||||
\(430\) | −3.20758 | − | 7.41974i | −0.154683 | − | 0.357812i | ||||
\(431\) | −0.671152 | + | 19.2193i | −0.0323283 | + | 0.925760i | 0.869570 | + | 0.493810i | \(0.164396\pi\) |
−0.901898 | + | 0.431949i | \(0.857826\pi\) | |||||||
\(432\) | −1.56324 | + | 8.86560i | −0.0752116 | + | 0.426546i | ||||
\(433\) | 22.0392 | − | 11.7184i | 1.05914 | − | 0.563153i | 0.153911 | − | 0.988085i | \(-0.450813\pi\) |
0.905225 | + | 0.424932i | \(0.139702\pi\) | |||||||
\(434\) | −41.5488 | − | 11.9139i | −1.99440 | − | 0.571886i | ||||
\(435\) | 0.788409 | − | 1.44478i | 0.0378013 | − | 0.0692721i | ||||
\(436\) | −5.36933 | + | 3.90105i | −0.257144 | + | 0.186826i | ||||
\(437\) | 8.76843 | − | 5.61102i | 0.419451 | − | 0.268411i | ||||
\(438\) | 48.7482 | + | 35.4176i | 2.32928 | + | 1.69232i | ||||
\(439\) | 33.5622 | + | 2.34689i | 1.60183 | + | 0.112011i | 0.842503 | − | 0.538692i | \(-0.181081\pi\) |
0.759332 | + | 0.650703i | \(0.225526\pi\) | |||||||
\(440\) | −20.3236 | − | 33.3229i | −0.968890 | − | 1.58861i | ||||
\(441\) | 15.2944 | − | 31.3582i | 0.728306 | − | 1.49325i | ||||
\(442\) | −73.5666 | + | 10.3391i | −3.49920 | + | 0.491781i | ||||
\(443\) | −29.2048 | − | 10.6297i | −1.38756 | − | 0.505032i | −0.463101 | − | 0.886305i | \(-0.653263\pi\) |
−0.924462 | + | 0.381273i | \(0.875486\pi\) | |||||||
\(444\) | 53.9993 | − | 59.9723i | 2.56269 | − | 2.84616i | ||||
\(445\) | −7.78150 | + | 10.4698i | −0.368878 | + | 0.496315i | ||||
\(446\) | 17.7475 | + | 43.9267i | 0.840370 | + | 2.07999i | ||||
\(447\) | −6.71042 | − | 16.6089i | −0.317392 | − | 0.785573i | ||||
\(448\) | 5.94679 | + | 56.5799i | 0.280959 | + | 2.67315i | ||||
\(449\) | 7.55677 | + | 13.0887i | 0.356626 | + | 0.617694i | 0.987395 | − | 0.158277i | \(-0.0505938\pi\) |
−0.630769 | + | 0.775971i | \(0.717260\pi\) | |||||||
\(450\) | 9.22009 | − | 33.8375i | 0.434639 | − | 1.59512i | ||||
\(451\) | −2.08310 | + | 11.8138i | −0.0980893 | + | 0.556292i | ||||
\(452\) | −63.1597 | − | 60.9926i | −2.97078 | − | 2.86885i | ||||
\(453\) | −1.38443 | − | 39.6450i | −0.0650463 | − | 1.86268i | ||||
\(454\) | 11.4772 | − | 7.17178i | 0.538654 | − | 0.336588i | ||||
\(455\) | 9.63686 | + | 47.8841i | 0.451783 | + | 2.24484i | ||||
\(456\) | −75.1814 | − | 32.5095i | −3.52069 | − | 1.52240i | ||||
\(457\) | −3.78367 | −0.176993 | −0.0884963 | − | 0.996077i | \(-0.528206\pi\) | ||||
−0.0884963 | + | 0.996077i | \(0.528206\pi\) | |||||||
\(458\) | 10.5293 | − | 26.0608i | 0.492000 | − | 1.21774i | ||||
\(459\) | 4.57792 | + | 1.31270i | 0.213679 | + | 0.0612714i | ||||
\(460\) | 25.7819 | + | 6.72579i | 1.20209 | + | 0.313591i | ||||
\(461\) | 14.6025 | + | 29.9395i | 0.680104 | + | 1.39442i | 0.907264 | + | 0.420563i | \(0.138167\pi\) |
−0.227159 | + | 0.973858i | \(0.572944\pi\) | |||||||
\(462\) | 34.8488 | + | 51.6654i | 1.62131 | + | 2.40369i | ||||
\(463\) | −1.21732 | + | 11.5821i | −0.0565738 | + | 0.538264i | 0.929127 | + | 0.369760i | \(0.120560\pi\) |
−0.985701 | + | 0.168504i | \(0.946107\pi\) | |||||||
\(464\) | −0.353230 | − | 3.36076i | −0.0163983 | − | 0.156019i | ||||
\(465\) | 19.3433 | + | 0.885480i | 0.897024 | + | 0.0410631i | ||||
\(466\) | −29.3147 | + | 2.04988i | −1.35798 | + | 0.0949590i | ||||
\(467\) | 5.47131 | + | 1.16296i | 0.253182 | + | 0.0538155i | 0.332754 | − | 0.943014i | \(-0.392022\pi\) |
−0.0795721 | + | 0.996829i | \(0.525355\pi\) | |||||||
\(468\) | −32.2084 | − | 55.7865i | −1.48883 | − | 2.57873i | ||||
\(469\) | 0.769642 | − | 22.0397i | 0.0355388 | − | 1.01770i | ||||
\(470\) | 18.5600 | + | 12.8137i | 0.856107 | + | 0.591052i | ||||
\(471\) | 43.7467 | + | 6.14819i | 2.01574 | + | 0.283294i | ||||
\(472\) | 1.31252 | + | 37.5858i | 0.0604138 | + | 1.73003i | ||||
\(473\) | −3.01265 | − | 0.210665i | −0.138522 | − | 0.00968637i | ||||
\(474\) | 31.7518 | 1.45841 | ||||||||
\(475\) | −19.1304 | − | 10.4417i | −0.877763 | − | 0.479096i | ||||
\(476\) | 129.333 | 5.92798 | ||||||||
\(477\) | 30.1062 | + | 2.10523i | 1.37847 | + | 0.0963920i | ||||
\(478\) | −2.39500 | − | 68.5839i | −0.109545 | − | 3.13695i | ||||
\(479\) | 7.26334 | + | 1.02080i | 0.331871 | + | 0.0466414i | 0.303141 | − | 0.952946i | \(-0.401965\pi\) |
0.0287300 | + | 0.999587i | \(0.490854\pi\) | |||||||
\(480\) | −23.0244 | − | 65.4579i | −1.05091 | − | 2.98773i | ||||
\(481\) | 1.15528 | − | 33.0830i | 0.0526764 | − | 1.50845i | ||||
\(482\) | 15.1622 | + | 26.2617i | 0.690619 | + | 1.19619i | ||||
\(483\) | −24.9324 | − | 5.29955i | −1.13446 | − | 0.241138i | ||||
\(484\) | 30.4710 | − | 2.13074i | 1.38505 | − | 0.0968519i | ||||
\(485\) | 9.19473 | − | 24.4350i | 0.417511 | − | 1.10954i | ||||
\(486\) | 5.83442 | + | 55.5108i | 0.264655 | + | 2.51802i | ||||
\(487\) | 1.43973 | − | 13.6981i | 0.0652404 | − | 0.620721i | −0.912234 | − | 0.409669i | \(-0.865644\pi\) |
0.977475 | − | 0.211052i | \(-0.0676890\pi\) | |||||||
\(488\) | 10.5647 | + | 15.6628i | 0.478240 | + | 0.709020i | ||||
\(489\) | −12.5954 | − | 25.8243i | −0.569583 | − | 1.16782i | ||||
\(490\) | −4.58197 | − | 77.6038i | −0.206992 | − | 3.50578i | ||||
\(491\) | −10.0571 | − | 2.88382i | −0.453870 | − | 0.130145i | 0.0409109 | − | 0.999163i | \(-0.486974\pi\) |
−0.494781 | + | 0.869018i | \(0.664752\pi\) | |||||||
\(492\) | −24.1375 | + | 59.7423i | −1.08820 | + | 2.69339i | ||||
\(493\) | −1.78769 | −0.0805136 | ||||||||
\(494\) | −53.7356 | + | 16.0353i | −2.41768 | + | 0.721461i | ||||
\(495\) | −9.64168 | − | 8.87250i | −0.433361 | − | 0.398789i | ||||
\(496\) | 33.7151 | − | 21.0675i | 1.51385 | − | 0.945961i | ||||
\(497\) | 1.01306 | + | 29.0101i | 0.0454417 | + | 1.30128i | ||||
\(498\) | 34.7759 | + | 33.5827i | 1.55835 | + | 1.50488i | ||||
\(499\) | −4.73735 | + | 26.8669i | −0.212073 | + | 1.20273i | 0.673841 | + | 0.738877i | \(0.264643\pi\) |
−0.885914 | + | 0.463850i | \(0.846468\pi\) | |||||||
\(500\) | −13.6247 | − | 54.0942i | −0.609313 | − | 2.41917i | ||||
\(501\) | −0.705294 | − | 1.22160i | −0.0315102 | − | 0.0545773i | ||||
\(502\) | 6.57918 | + | 62.5967i | 0.293643 | + | 2.79383i | ||||
\(503\) | 5.68372 | + | 14.0677i | 0.253424 | + | 0.627247i | 0.999243 | − | 0.0389016i | \(-0.0123859\pi\) |
−0.745819 | + | 0.666149i | \(0.767941\pi\) | |||||||
\(504\) | 35.2602 | + | 87.2721i | 1.57062 | + | 3.88741i | ||||
\(505\) | −21.0965 | + | 6.60276i | −0.938784 | + | 0.293819i | ||||
\(506\) | 9.33099 | − | 10.3631i | 0.414813 | − | 0.460697i | ||||
\(507\) | −23.8611 | − | 8.68471i | −1.05971 | − | 0.385702i | ||||
\(508\) | 41.8643 | − | 5.88365i | 1.85743 | − | 0.261045i | ||||
\(509\) | −16.4662 | + | 33.7607i | −0.729851 | + | 1.49642i | 0.133087 | + | 0.991104i | \(0.457511\pi\) |
−0.862937 | + | 0.505311i | \(0.831378\pi\) | |||||||
\(510\) | −78.9623 | + | 18.7809i | −3.49651 | + | 0.831632i | ||||
\(511\) | −42.9255 | − | 3.00164i | −1.89891 | − | 0.132785i | ||||
\(512\) | 24.3304 | + | 17.6771i | 1.07526 | + | 0.781225i | ||||
\(513\) | 3.56507 | + | 0.462032i | 0.157402 | + | 0.0203992i | ||||
\(514\) | 7.44492 | − | 5.40905i | 0.328381 | − | 0.238583i | ||||
\(515\) | −19.5640 | − | 3.66872i | −0.862092 | − | 0.161663i | ||||
\(516\) | −15.5928 | − | 4.47117i | −0.686436 | − | 0.196832i | ||||
\(517\) | 7.43985 | − | 3.95584i | 0.327204 | − | 0.173978i | ||||
\(518\) | −14.0188 | + | 79.5048i | −0.615953 | + | 3.49324i | ||||
\(519\) | −0.393106 | + | 11.2571i | −0.0172555 | + | 0.494132i | ||||
\(520\) | −74.0053 | − | 43.8032i | −3.24535 | − | 1.92090i | ||||
\(521\) | −17.9392 | − | 19.9235i | −0.785932 | − | 0.872866i | 0.208524 | − | 0.978017i | \(-0.433134\pi\) |
−0.994456 | + | 0.105151i | \(0.966467\pi\) | |||||||
\(522\) | −0.813448 | − | 2.01335i | −0.0356036 | − | 0.0881221i | ||||
\(523\) | 1.33462 | − | 5.35288i | 0.0583590 | − | 0.234065i | −0.934032 | − | 0.357188i | \(-0.883735\pi\) |
0.992391 | + | 0.123123i | \(0.0392910\pi\) | |||||||
\(524\) | 37.3638 | − | 64.7160i | 1.63224 | − | 2.82713i | ||||
\(525\) | 15.3866 | + | 51.0984i | 0.671528 | + | 2.23012i | ||||
\(526\) | 46.2577 | + | 16.8364i | 2.01693 | + | 0.734103i | ||||
\(527\) | −9.21968 | − | 18.9032i | −0.401616 | − | 0.823434i | ||||
\(528\) | −56.7631 | − | 7.97753i | −2.47030 | − | 0.347178i | ||||
\(529\) | −0.603635 | − | 17.2858i | −0.0262450 | − | 0.751558i | ||||
\(530\) | 60.7558 | − | 28.8217i | 2.63906 | − | 1.25193i | ||||
\(531\) | 3.90138 | + | 12.0072i | 0.169306 | + | 0.521069i | ||||
\(532\) | 96.5250 | − | 14.6250i | 4.18489 | − | 0.634073i | ||||
\(533\) | 8.16752 | + | 25.1370i | 0.353775 | + | 1.08881i | ||||
\(534\) | 8.87145 | + | 35.5814i | 0.383905 | + | 1.53976i | ||||
\(535\) | 21.6873 | + | 9.03690i | 0.937625 | + | 0.390699i | ||||
\(536\) | 27.9303 | + | 26.9719i | 1.20640 | + | 1.16501i | ||||
\(537\) | 4.43230 | − | 4.28022i | 0.191268 | − | 0.184705i | ||||
\(538\) | 17.2797 | + | 25.6182i | 0.744979 | + | 1.10448i | ||||
\(539\) | −26.5328 | − | 11.8132i | −1.14285 | − | 0.508829i | ||||
\(540\) | 5.32733 | + | 7.50211i | 0.229252 | + | 0.322839i | ||||
\(541\) | 1.76528 | − | 0.123440i | 0.0758953 | − | 0.00530711i | −0.0317584 | − | 0.999496i | \(-0.510111\pi\) |
0.107654 | + | 0.994188i | \(0.465666\pi\) | |||||||
\(542\) | 63.5640 | + | 39.7192i | 2.73031 | + | 1.70609i | ||||
\(543\) | −27.5346 | + | 47.6913i | −1.18162 | + | 2.04663i | ||||
\(544\) | −50.4303 | + | 56.0085i | −2.16218 | + | 2.40134i | ||||
\(545\) | −0.445852 | + | 2.94077i | −0.0190982 | + | 0.125969i | ||||
\(546\) | 121.235 | + | 64.4619i | 5.18839 | + | 2.75871i | ||||
\(547\) | −29.5435 | − | 4.15207i | −1.26319 | − | 0.177530i | −0.524403 | − | 0.851470i | \(-0.675712\pi\) |
−0.738786 | + | 0.673940i | \(0.764600\pi\) | |||||||
\(548\) | −21.9109 | + | 32.4843i | −0.935988 | + | 1.38766i | ||||
\(549\) | 4.85843 | + | 4.07671i | 0.207353 | + | 0.173990i | ||||
\(550\) | −28.4189 | − | 6.68758i | −1.21179 | − | 0.285160i | ||||
\(551\) | −1.33420 | + | 0.202152i | −0.0568390 | + | 0.00861196i | ||||
\(552\) | 36.3069 | − | 26.3785i | 1.54532 | − | 1.12274i | ||||
\(553\) | −19.2293 | + | 12.0158i | −0.817712 | + | 0.510963i | ||||
\(554\) | 1.13281 | + | 32.4393i | 0.0481283 | + | 1.37821i | ||||
\(555\) | −2.13169 | − | 36.1040i | −0.0904852 | − | 1.53253i | ||||
\(556\) | 88.6837 | − | 12.4637i | 3.76103 | − | 0.528578i | ||||
\(557\) | −11.8393 | − | 4.30914i | −0.501646 | − | 0.182584i | 0.0787883 | − | 0.996891i | \(-0.474895\pi\) |
−0.580434 | + | 0.814307i | \(0.697117\pi\) | |||||||
\(558\) | 17.0941 | − | 18.9849i | 0.723652 | − | 0.803697i | ||||
\(559\) | −6.07863 | + | 2.70638i | −0.257098 | + | 0.114468i | ||||
\(560\) | 85.6025 | + | 68.3870i | 3.61737 | + | 2.88988i | ||||
\(561\) | −7.33598 | + | 29.4230i | −0.309725 | + | 1.24224i | ||||
\(562\) | −45.9820 | + | 20.4725i | −1.93963 | + | 0.863580i | ||||
\(563\) | −0.170485 | + | 1.62206i | −0.00718509 | + | 0.0683616i | −0.997527 | − | 0.0702859i | \(-0.977609\pi\) |
0.990342 | + | 0.138648i | \(0.0442755\pi\) | |||||||
\(564\) | 43.5058 | − | 12.4751i | 1.83192 | − | 0.525296i | ||||
\(565\) | −39.3381 | + | 0.946973i | −1.65497 | + | 0.0398395i | ||||
\(566\) | −3.26139 | + | 6.68684i | −0.137086 | + | 0.281069i | ||||
\(567\) | −27.4161 | − | 35.0910i | −1.15137 | − | 1.47368i | ||||
\(568\) | −39.1507 | − | 32.8513i | −1.64273 | − | 1.37841i | ||||
\(569\) | −1.44168 | − | 4.43703i | −0.0604382 | − | 0.186010i | 0.916279 | − | 0.400541i | \(-0.131178\pi\) |
−0.976717 | + | 0.214531i | \(0.931178\pi\) | |||||||
\(570\) | −56.8080 | + | 22.9458i | −2.37943 | + | 0.961092i | ||||
\(571\) | −10.5119 | + | 32.3524i | −0.439911 | + | 1.35391i | 0.448058 | + | 0.894004i | \(0.352116\pi\) |
−0.887969 | + | 0.459903i | \(0.847884\pi\) | |||||||
\(572\) | −45.4758 | + | 28.4164i | −1.90144 | + | 1.18815i | ||||
\(573\) | −21.0168 | + | 31.1587i | −0.877989 | + | 1.30167i | ||||
\(574\) | −11.1931 | − | 63.4793i | −0.467191 | − | 2.64957i | ||||
\(575\) | 10.2614 | − | 6.10685i | 0.427931 | − | 0.254673i | ||||
\(576\) | −31.5975 | − | 11.5006i | −1.31656 | − | 0.479190i | ||||
\(577\) | 23.8768 | + | 10.6306i | 0.994003 | + | 0.442559i | 0.838279 | − | 0.545242i | \(-0.183562\pi\) |
0.155724 | + | 0.987801i | \(0.450229\pi\) | |||||||
\(578\) | 28.9154 | + | 32.1138i | 1.20272 | + | 1.33576i | ||||
\(579\) | 11.4334 | + | 28.2985i | 0.475154 | + | 1.17605i | ||||
\(580\) | −2.69851 | − | 2.15581i | −0.112050 | − | 0.0895152i | ||||
\(581\) | −33.7694 | − | 7.17790i | −1.40099 | − | 0.297789i | ||||
\(582\) | −36.6960 | − | 63.5594i | −1.52110 | − | 2.63462i | ||||
\(583\) | 0.876791 | − | 25.1080i | 0.0363130 | − | 1.03987i | ||||
\(584\) | 54.4979 | − | 52.6280i | 2.25514 | − | 2.17776i | ||||
\(585\) | −27.9342 | − | 7.28724i | −1.15493 | − | 0.301290i | ||||
\(586\) | −16.7681 | + | 24.8598i | −0.692686 | + | 1.02695i | ||||
\(587\) | −3.66129 | − | 14.6846i | −0.151118 | − | 0.606100i | −0.997315 | − | 0.0732302i | \(-0.976669\pi\) |
0.846197 | − | 0.532870i | \(-0.178886\pi\) | |||||||
\(588\) | −126.208 | − | 91.6954i | −5.20472 | − | 3.78145i | ||||
\(589\) | −9.01847 | − | 13.0654i | −0.371600 | − | 0.538350i | ||||
\(590\) | 20.7001 | + | 19.0487i | 0.852209 | + | 0.784223i | ||||
\(591\) | −6.84011 | − | 27.4342i | −0.281364 | − | 1.12849i | ||||
\(592\) | −45.7164 | − | 58.5143i | −1.87893 | − | 2.40492i | ||||
\(593\) | 3.53564 | + | 20.0516i | 0.145191 | + | 0.823420i | 0.967213 | + | 0.253965i | \(0.0817347\pi\) |
−0.822022 | + | 0.569455i | \(0.807154\pi\) | |||||||
\(594\) | 4.76872 | − | 0.670200i | 0.195663 | − | 0.0274986i | ||||
\(595\) | 40.7133 | − | 41.2555i | 1.66908 | − | 1.69131i | ||||
\(596\) | −36.7693 | + | 7.81556i | −1.50613 | + | 0.320138i | ||||
\(597\) | −8.87276 | − | 9.85420i | −0.363138 | − | 0.403306i | ||||
\(598\) | 7.43293 | − | 29.8118i | 0.303955 | − | 1.21910i | ||||
\(599\) | −10.0215 | + | 8.40905i | −0.409468 | + | 0.343585i | −0.824140 | − | 0.566387i | \(-0.808341\pi\) |
0.414672 | + | 0.909971i | \(0.363896\pi\) | |||||||
\(600\) | −84.9848 | − | 40.0669i | −3.46949 | − | 1.63573i | ||||
\(601\) | 9.75762 | + | 16.9007i | 0.398022 | + | 0.689394i | 0.993482 | − | 0.113991i | \(-0.0363635\pi\) |
−0.595460 | + | 0.803385i | \(0.703030\pi\) | |||||||
\(602\) | 15.5987 | − | 4.47287i | 0.635757 | − | 0.182300i | ||||
\(603\) | 11.5086 | + | 6.11925i | 0.468668 | + | 0.249195i | ||||
\(604\) | −82.4352 | − | 11.5855i | −3.35424 | − | 0.471408i | ||||
\(605\) | 8.91242 | − | 10.3906i | 0.362341 | − | 0.422437i | ||||
\(606\) | −23.2788 | + | 57.6169i | −0.945635 | + | 2.34053i | ||||
\(607\) | 4.20512 | 0.170681 | 0.0853403 | − | 0.996352i | \(-0.472802\pi\) | ||||
0.0853403 | + | 0.996352i | \(0.472802\pi\) | |||||||
\(608\) | −31.3041 | + | 47.5034i | −1.26955 | + | 1.92652i | ||||
\(609\) | 2.67311 | + | 1.94212i | 0.108320 | + | 0.0786989i | ||||
\(610\) | 13.8894 | + | 2.60461i | 0.562367 | + | 0.105457i | ||||
\(611\) | 10.3815 | − | 15.3912i | 0.419989 | − | 0.622660i | ||||
\(612\) | −33.5097 | + | 68.7052i | −1.35455 | + | 2.77724i | ||||
\(613\) | −5.68871 | + | 5.49353i | −0.229765 | + | 0.221881i | −0.800625 | − | 0.599166i | \(-0.795499\pi\) |
0.570860 | + | 0.821048i | \(0.306610\pi\) | |||||||
\(614\) | −28.9719 | + | 8.30756i | −1.16921 | + | 0.335266i | ||||
\(615\) | 11.4587 | + | 26.5060i | 0.462057 | + | 1.06883i | ||||
\(616\) | 71.5815 | − | 31.8701i | 2.88410 | − | 1.28408i | ||||
\(617\) | 20.8085 | + | 13.0026i | 0.837719 | + | 0.523465i | 0.879631 | − | 0.475656i | \(-0.157789\pi\) |
−0.0419120 | + | 0.999121i | \(0.513345\pi\) | |||||||
\(618\) | −42.8644 | + | 35.9675i | −1.72426 | + | 1.44683i | ||||
\(619\) | 21.4930 | + | 4.56848i | 0.863877 | + | 0.183623i | 0.618480 | − | 0.785800i | \(-0.287749\pi\) |
0.245396 | + | 0.969423i | \(0.421082\pi\) | |||||||
\(620\) | 8.87863 | − | 39.6524i | 0.356574 | − | 1.59248i | ||||
\(621\) | −1.21262 | + | 1.55208i | −0.0486608 | + | 0.0622830i | ||||
\(622\) | −43.0053 | − | 22.8663i | −1.72436 | − | 0.916856i | ||||
\(623\) | −18.8377 | − | 18.1913i | −0.754716 | − | 0.728821i | ||||
\(624\) | −118.677 | + | 43.1950i | −4.75089 | + | 1.72918i | ||||
\(625\) | −21.5443 | − | 12.6824i | −0.861771 | − | 0.507298i | ||||
\(626\) | 11.7906 | 0.471246 | ||||||||
\(627\) | −2.14790 | + | 22.7888i | −0.0857788 | + | 0.910096i | ||||
\(628\) | 28.6472 | − | 88.1669i | 1.14315 | − | 3.51824i | ||||
\(629\) | −33.3135 | + | 20.8166i | −1.32830 | + | 0.830011i | ||||
\(630\) | 64.9889 | + | 27.0802i | 2.58922 | + | 1.07890i | ||||
\(631\) | 15.0894 | − | 8.02318i | 0.600700 | − | 0.319398i | −0.141125 | − | 0.989992i | \(-0.545072\pi\) |
0.741824 | + | 0.670594i | \(0.233961\pi\) | |||||||
\(632\) | 6.93240 | − | 39.3156i | 0.275756 | − | 1.56389i | ||||
\(633\) | −0.972142 | + | 27.8385i | −0.0386392 | + | 1.10648i | ||||
\(634\) | 0.781435 | − | 7.43486i | 0.0310347 | − | 0.295276i | ||||
\(635\) | 11.3018 | − | 15.2063i | 0.448500 | − | 0.603443i | ||||
\(636\) | 32.6459 | − | 130.935i | 1.29449 | − | 5.19193i | ||||
\(637\) | −63.8354 | + | 4.46380i | −2.52925 | + | 0.176862i | ||||
\(638\) | −1.65137 | + | 0.735239i | −0.0653785 | + | 0.0291084i | ||||
\(639\) | −15.6734 | − | 6.97825i | −0.620030 | − | 0.276055i | ||||
\(640\) | −16.3333 | + | 2.69781i | −0.645630 | + | 0.106640i | ||||
\(641\) | 17.2417 | − | 16.6502i | 0.681008 | − | 0.657642i | −0.271400 | − | 0.962467i | \(-0.587487\pi\) |
0.952408 | + | 0.304825i | \(0.0985979\pi\) | |||||||
\(642\) | 58.3160 | − | 31.0072i | 2.30155 | − | 1.22375i | ||||
\(643\) | 1.47934 | − | 0.538436i | 0.0583395 | − | 0.0212338i | −0.312686 | − | 0.949857i | \(-0.601229\pi\) |
0.371025 | + | 0.928623i | \(0.379006\pi\) | |||||||
\(644\) | −20.0374 | + | 49.5944i | −0.789586 | + | 1.95429i | ||||
\(645\) | −6.33477 | + | 3.56640i | −0.249431 | + | 0.140427i | ||||
\(646\) | 51.4332 | + | 42.2242i | 2.02361 | + | 1.66129i | ||||
\(647\) | 10.9544 | − | 33.7143i | 0.430664 | − | 1.32545i | −0.466802 | − | 0.884362i | \(-0.654594\pi\) |
0.897465 | − | 0.441085i | \(-0.145406\pi\) | |||||||
\(648\) | 78.2124 | + | 5.46915i | 3.07247 | + | 0.214848i | ||||
\(649\) | 9.87605 | − | 3.59459i | 0.387669 | − | 0.141100i | ||||
\(650\) | −62.2029 | + | 16.3859i | −2.43980 | + | 0.642709i | ||||
\(651\) | −6.75010 | + | 38.2817i | −0.264557 | + | 1.50038i | ||||
\(652\) | −57.9586 | + | 16.6194i | −2.26983 | + | 0.650864i | ||||
\(653\) | 24.9734 | − | 5.30826i | 0.977285 | − | 0.207728i | 0.308533 | − | 0.951214i | \(-0.400162\pi\) |
0.668752 | + | 0.743485i | \(0.266829\pi\) | |||||||
\(654\) | 5.59484 | + | 6.21370i | 0.218776 | + | 0.242975i | ||||
\(655\) | −8.88162 | − | 32.2907i | −0.347033 | − | 1.26170i | ||||
\(656\) | 50.2793 | + | 31.4180i | 1.96307 | + | 1.22667i | ||||
\(657\) | 12.7164 | − | 22.0254i | 0.496114 | − | 0.859294i | ||||
\(658\) | −30.2957 | + | 33.6468i | −1.18105 | + | 1.31169i | ||||
\(659\) | −3.13713 | − | 4.65099i | −0.122205 | − | 0.181177i | 0.762971 | − | 0.646433i | \(-0.223740\pi\) |
−0.885176 | + | 0.465256i | \(0.845962\pi\) | |||||||
\(660\) | −46.5554 | + | 35.5673i | −1.81217 | + | 1.38445i | ||||
\(661\) | −12.2676 | − | 11.8467i | −0.477156 | − | 0.460784i | 0.416761 | − | 0.909016i | \(-0.363165\pi\) |
−0.893917 | + | 0.448232i | \(0.852054\pi\) | |||||||
\(662\) | 71.2665 | + | 20.4353i | 2.76985 | + | 0.794242i | ||||
\(663\) | 16.1632 | + | 64.8269i | 0.627725 | + | 2.51767i | ||||
\(664\) | 49.1753 | − | 35.7280i | 1.90837 | − | 1.38651i | ||||
\(665\) | 25.7203 | − | 35.3940i | 0.997391 | − | 1.37252i | ||||
\(666\) | −38.6028 | − | 28.0466i | −1.49583 | − | 1.08678i | ||||
\(667\) | 0.276965 | − | 0.685513i | 0.0107241 | − | 0.0265432i | ||||
\(668\) | −2.78159 | + | 1.01242i | −0.107623 | + | 0.0391715i | ||||
\(669\) | 37.6202 | − | 20.0030i | 1.45448 | − | 0.773361i | ||||
\(670\) | 29.0342 | − | 0.698932i | 1.12169 | − | 0.0270021i | ||||
\(671\) | 3.25046 | − | 4.16040i | 0.125483 | − | 0.160611i | ||||
\(672\) | 136.254 | − | 28.9618i | 5.25613 | − | 1.11722i | ||||
\(673\) | −0.970086 | − | 9.22976i | −0.0373941 | − | 0.355781i | −0.997180 | − | 0.0750478i | \(-0.976089\pi\) |
0.959786 | − | 0.280733i | \(-0.0905776\pi\) | |||||||
\(674\) | −45.5415 | + | 38.2139i | −1.75419 | + | 1.47194i | ||||
\(675\) | 4.07008 | + | 0.662272i | 0.156658 | + | 0.0254909i | ||||
\(676\) | −26.6429 | + | 46.1468i | −1.02473 | + | 1.77488i | ||||
\(677\) | 13.3140 | + | 5.92779i | 0.511700 | + | 0.227823i | 0.646310 | − | 0.763075i | \(-0.276311\pi\) |
−0.134610 | + | 0.990899i | \(0.542978\pi\) | |||||||
\(678\) | −68.1023 | + | 87.1670i | −2.61545 | + | 3.34763i | ||||
\(679\) | 46.2762 | + | 24.6055i | 1.77592 | + | 0.944273i | ||||
\(680\) | 6.01489 | + | 101.873i | 0.230660 | + | 3.90665i | ||||
\(681\) | −7.49346 | − | 9.59119i | −0.287150 | − | 0.367535i | ||||
\(682\) | −16.2911 | − | 13.6699i | −0.623819 | − | 0.523446i | ||||
\(683\) | 10.4457 | + | 32.1485i | 0.399693 | + | 1.23013i | 0.925246 | + | 0.379368i | \(0.123859\pi\) |
−0.525553 | + | 0.850761i | \(0.676141\pi\) | |||||||
\(684\) | −17.2401 | + | 55.0659i | −0.659191 | + | 2.10550i | ||||
\(685\) | 3.46461 | + | 17.2151i | 0.132376 | + | 0.657756i | ||||
\(686\) | 72.8100 | + | 5.09137i | 2.77990 | + | 0.194390i | ||||
\(687\) | −24.2989 | − | 6.96761i | −0.927063 | − | 0.265831i | ||||
\(688\) | −6.54301 | + | 13.4152i | −0.249450 | + | 0.511448i | ||||
\(689\) | −24.2654 | − | 49.7514i | −0.924437 | − | 1.89538i | ||||
\(690\) | 5.03178 | − | 33.1888i | 0.191557 | − | 1.26348i | ||||
\(691\) | −0.274386 | + | 2.61061i | −0.0104381 | + | 0.0993123i | −0.998501 | − | 0.0547419i | \(-0.982566\pi\) |
0.988062 | + | 0.154054i | \(0.0492331\pi\) | |||||||
\(692\) | 23.1208 | + | 4.91447i | 0.878920 | + | 0.186820i | ||||
\(693\) | 20.1499 | − | 16.9078i | 0.765431 | − | 0.642273i | ||||
\(694\) | −76.2299 | − | 47.6337i | −2.89365 | − | 1.80815i | ||||
\(695\) | 23.9414 | − | 32.2124i | 0.908147 | − | 1.22189i | ||||
\(696\) | −5.69028 | + | 1.20951i | −0.215690 | + | 0.0458463i | ||||
\(697\) | 19.3099 | − | 24.7155i | 0.731415 | − | 0.936168i | ||||
\(698\) | −5.51483 | − | 11.3071i | −0.208739 | − | 0.427979i | ||||
\(699\) | 4.58921 | + | 26.0267i | 0.173580 | + | 0.984421i | ||||
\(700\) | 111.207 | − | 13.1780i | 4.20324 | − | 0.498081i | ||||
\(701\) | −29.8481 | − | 25.0456i | −1.12735 | − | 0.945958i | −0.128397 | − | 0.991723i | \(-0.540983\pi\) |
−0.998952 | + | 0.0457650i | \(0.985427\pi\) | |||||||
\(702\) | 8.58370 | − | 6.23643i | 0.323971 | − | 0.235379i | ||||
\(703\) | −22.5088 | + | 19.3031i | −0.848937 | + | 0.728029i | ||||
\(704\) | −8.64989 | + | 26.6216i | −0.326005 | + | 1.00334i | ||||
\(705\) | 9.71598 | − | 17.8048i | 0.365925 | − | 0.670569i | ||||
\(706\) | 18.8542 | + | 24.1323i | 0.709588 | + | 0.908231i | ||||
\(707\) | −7.70599 | − | 43.7029i | −0.289814 | − | 1.64361i | ||||
\(708\) | 55.9019 | − | 7.85650i | 2.10092 | − | 0.295265i | ||||
\(709\) | 16.9264 | + | 25.0943i | 0.635683 | + | 0.942438i | 0.999938 | + | 0.0111390i | \(0.00354573\pi\) |
−0.364255 | + | 0.931299i | \(0.618676\pi\) | |||||||
\(710\) | −38.0596 | + | 3.58361i | −1.42835 | + | 0.134491i | ||||
\(711\) | −1.40086 | − | 13.3283i | −0.0525365 | − | 0.499852i | ||||
\(712\) | 45.9944 | − | 3.21625i | 1.72371 | − | 0.120534i | ||||
\(713\) | 8.67705 | − | 0.606758i | 0.324958 | − | 0.0227233i | ||||
\(714\) | −17.0317 | − | 162.046i | −0.637396 | − | 6.06442i | ||||
\(715\) | −5.25106 | + | 23.4515i | −0.196378 | + | 0.877036i | ||||
\(716\) | −7.23042 | − | 10.7195i | −0.270213 | − | 0.400608i | ||||
\(717\) | −61.1171 | + | 8.58945i | −2.28246 | + | 0.320779i | ||||
\(718\) | 0.219202 | + | 1.24316i | 0.00818054 | + | 0.0463942i | ||||
\(719\) | 27.2185 | + | 34.8381i | 1.01508 | + | 1.29924i | 0.953582 | + | 0.301133i | \(0.0973649\pi\) |
0.0614959 | + | 0.998107i | \(0.480413\pi\) | |||||||
\(720\) | −58.5083 | + | 27.7555i | −2.18047 | + | 1.03439i | ||||
\(721\) | 12.3481 | − | 38.0035i | 0.459866 | − | 1.41532i | ||||
\(722\) | 43.1607 | + | 25.6970i | 1.60628 | + | 0.956345i | ||||
\(723\) | 22.0634 | − | 16.0300i | 0.820548 | − | 0.596163i | ||||
\(724\) | 88.5257 | + | 74.2819i | 3.29003 | + | 2.76066i | ||||
\(725\) | −1.53715 | + | 0.182151i | −0.0570883 | + | 0.00676492i | ||||
\(726\) | −6.68237 | − | 37.8976i | −0.248006 | − | 1.40651i | ||||
\(727\) | −0.300031 | − | 0.615155i | −0.0111275 | − | 0.0228148i | 0.893158 | − | 0.449743i | \(-0.148485\pi\) |
−0.904285 | + | 0.426928i | \(0.859596\pi\) | |||||||
\(728\) | 106.287 | − | 136.041i | 3.93926 | − | 5.04203i | ||||
\(729\) | 19.9906 | − | 4.24913i | 0.740392 | − | 0.157375i | ||||
\(730\) | 0.614192 | − | 56.6651i | 0.0227322 | − | 2.09727i | ||||
\(731\) | 6.69616 | + | 4.18423i | 0.247667 | + | 0.154759i | ||||
\(732\) | 21.7237 | − | 18.2283i | 0.802930 | − | 0.673739i | ||||
\(733\) | −48.5824 | − | 10.3265i | −1.79443 | − | 0.381418i | −0.814406 | − | 0.580295i | \(-0.802937\pi\) |
−0.980024 | + | 0.198877i | \(0.936270\pi\) | |||||||
\(734\) | 2.78324 | − | 26.4807i | 0.102731 | − | 0.977422i | ||||
\(735\) | −68.9791 | + | 11.3934i | −2.54433 | + | 0.420253i | ||||
\(736\) | −13.6641 | − | 28.0155i | −0.503664 | − | 1.03266i | ||||
\(737\) | 4.75655 | − | 9.75237i | 0.175210 | − | 0.359233i | ||||
\(738\) | 36.6220 | + | 10.5012i | 1.34807 | + | 0.386554i | ||||
\(739\) | −35.8366 | − | 2.50594i | −1.31827 | − | 0.0921826i | −0.606776 | − | 0.794873i | \(-0.707538\pi\) |
−0.711496 | + | 0.702690i | \(0.751982\pi\) | |||||||
\(740\) | −75.3896 | − | 8.75089i | −2.77138 | − | 0.321689i | ||||
\(741\) | 19.3936 | + | 46.5544i | 0.712443 | + | 1.71022i | ||||
\(742\) | 41.7157 | + | 128.388i | 1.53143 | + | 4.71327i | ||||
\(743\) | 23.7164 | + | 19.9004i | 0.870070 | + | 0.730076i | 0.964113 | − | 0.265493i | \(-0.0855346\pi\) |
−0.0940426 | + | 0.995568i | \(0.529979\pi\) | |||||||
\(744\) | −42.1360 | − | 53.9316i | −1.54478 | − | 1.97723i | ||||
\(745\) | −9.08171 | + | 14.1892i | −0.332728 | + | 0.519852i | ||||
\(746\) | −60.8527 | − | 32.3559i | −2.22798 | − | 1.18464i | ||||
\(747\) | 12.5626 | − | 16.0794i | 0.459642 | − | 0.588314i | ||||
\(748\) | 58.1327 | + | 25.8823i | 2.12554 | + | 0.946352i | ||||
\(749\) | −23.5829 | + | 40.8467i | −0.861699 | + | 1.49251i | ||||
\(750\) | −65.9823 | + | 24.1944i | −2.40933 | + | 0.883454i | ||||
\(751\) | 6.77395 | − | 5.68402i | 0.247185 | − | 0.207413i | −0.510774 | − | 0.859715i | \(-0.670641\pi\) |
0.757959 | + | 0.652302i | \(0.226197\pi\) | |||||||
\(752\) | −4.35304 | − | 41.4164i | −0.158739 | − | 1.51030i | ||||
\(753\) | 55.3688 | − | 11.7690i | 2.01775 | − | 0.428886i | ||||
\(754\) | −2.45203 | + | 3.13845i | −0.0892976 | + | 0.114296i | ||||
\(755\) | −29.6457 | + | 22.6486i | −1.07892 | + | 0.824269i | ||||
\(756\) | −16.3093 | + | 8.67179i | −0.593162 | + | 0.315390i | ||||
\(757\) | −16.3089 | + | 5.93596i | −0.592758 | + | 0.215746i | −0.620942 | − | 0.783857i | \(-0.713250\pi\) |
0.0281841 | + | 0.999603i | \(0.491028\pi\) | |||||||
\(758\) | 16.3894 | − | 40.5652i | 0.595290 | − | 1.47339i | ||||
\(759\) | −10.1461 | − | 7.37155i | −0.368279 | − | 0.267570i | ||||
\(760\) | 16.0089 | + | 75.3504i | 0.580702 | + | 2.73325i | ||||
\(761\) | −23.2752 | + | 16.9104i | −0.843725 | + | 0.613002i | −0.923409 | − | 0.383818i | \(-0.874609\pi\) |
0.0796834 | + | 0.996820i | \(0.474609\pi\) | |||||||
\(762\) | −12.8849 | − | 51.6784i | −0.466770 | − | 1.87211i | ||||
\(763\) | −5.73974 | − | 1.64584i | −0.207793 | − | 0.0595836i | ||||
\(764\) | 56.7343 | + | 54.7877i | 2.05258 | + | 1.98215i | ||||
\(765\) | 11.3673 | + | 32.3171i | 0.410987 | + | 1.16843i | ||||
\(766\) | −2.72556 | − | 4.04081i | −0.0984786 | − | 0.146000i | ||||
\(767\) | 15.4945 | − | 17.2083i | 0.559472 | − | 0.621357i | ||||
\(768\) | 6.86520 | − | 11.8909i | 0.247726 | − | 0.429075i | ||||
\(769\) | −20.3924 | − | 12.7426i | −0.735370 | − | 0.459510i | 0.109837 | − | 0.993950i | \(-0.464967\pi\) |
−0.845207 | + | 0.534440i | \(0.820523\pi\) | |||||||
\(770\) | 20.6413 | − | 54.8542i | 0.743860 | − | 1.97681i | ||||
\(771\) | −5.53779 | − | 6.15034i | −0.199439 | − | 0.221499i | ||||
\(772\) | 62.6484 | − | 13.3163i | 2.25476 | − | 0.479265i | ||||
\(773\) | 11.8270 | − | 3.39134i | 0.425388 | − | 0.121978i | −0.0561111 | − | 0.998425i | \(-0.517870\pi\) |
0.481499 | + | 0.876446i | \(0.340092\pi\) | |||||||
\(774\) | −1.66547 | + | 9.44536i | −0.0598642 | + | 0.339507i | ||||
\(775\) | −9.85364 | − | 15.3145i | −0.353953 | − | 0.550113i | ||||
\(776\) | −86.7122 | + | 31.5607i | −3.11279 | + | 1.13296i | ||||
\(777\) | 72.4279 | + | 5.06466i | 2.59834 | + | 0.181693i | ||||
\(778\) | −0.555606 | + | 1.70998i | −0.0199194 | + | 0.0613057i | ||||
\(779\) | 11.6167 | − | 20.6295i | 0.416211 | − | 0.739127i | ||||
\(780\) | −53.7778 | + | 117.347i | −1.92556 | + | 4.20171i | ||||
\(781\) | −5.35020 | + | 13.2422i | −0.191445 | + | 0.473843i | ||||
\(782\) | −34.2611 | + | 12.4700i | −1.22517 | + | 0.445927i | ||||
\(783\) | 0.225433 | − | 0.119865i | 0.00805631 | − | 0.00428361i | ||||
\(784\) | −103.256 | + | 99.7131i | −3.68771 | + | 3.56118i | ||||
\(785\) | −19.1061 | − | 36.8925i | −0.681925 | − | 1.31675i | ||||
\(786\) | −86.0053 | − | 38.2920i | −3.06771 | − | 1.36583i | ||||
\(787\) | −5.58221 | + | 2.48536i | −0.198984 | + | 0.0885936i | −0.503810 | − | 0.863815i | \(-0.668069\pi\) |
0.304825 | + | 0.952408i | \(0.401402\pi\) | |||||||
\(788\) | −59.1883 | + | 4.13885i | −2.10850 | + | 0.147440i | ||||
\(789\) | 10.7102 | − | 42.9562i | 0.381292 | − | 1.52928i | ||||
\(790\) | −17.2892 | − | 24.3471i | −0.615121 | − | 0.866231i | ||||
\(791\) | 8.25712 | − | 78.5612i | 0.293589 | − | 2.79332i | ||||
\(792\) | −1.61625 | + | 46.2834i | −0.0574310 | + | 1.64461i | ||||
\(793\) | 2.01995 | − | 11.4557i | 0.0717307 | − | 0.406805i | ||||
\(794\) | −0.356313 | + | 0.189455i | −0.0126451 | + | 0.00672350i | ||||
\(795\) | −31.4899 | − | 51.6313i | −1.11683 | − | 1.83117i | ||||
\(796\) | −23.5980 | + | 14.7457i | −0.836410 | + | 0.522647i | ||||
\(797\) | −12.1167 | + | 37.2914i | −0.429196 | + | 1.32093i | 0.469722 | + | 0.882814i | \(0.344354\pi\) |
−0.898918 | + | 0.438116i | \(0.855646\pi\) | |||||||
\(798\) | −31.0354 | − | 119.014i | −1.09864 | − | 4.21303i | ||||
\(799\) | −22.0307 | −0.779389 | ||||||||
\(800\) | −37.6558 | + | 53.2974i | −1.33133 | + | 1.88435i | ||||
\(801\) | 14.5445 | − | 5.29376i | 0.513904 | − | 0.187046i | ||||
\(802\) | −9.25147 | − | 8.93404i | −0.326681 | − | 0.315472i | ||||
\(803\) | −18.6935 | − | 9.93949i | −0.659678 | − | 0.350757i | ||||
\(804\) | 35.8813 | − | 45.9260i | 1.26544 | − | 1.61968i | ||||
\(805\) | 9.51227 | + | 22.0037i | 0.335264 | + | 0.775528i | ||||
\(806\) | −45.8321 | − | 9.74190i | −1.61437 | − | 0.343144i | ||||
\(807\) | 21.2888 | − | 17.8634i | 0.749401 | − | 0.628822i | ||||
\(808\) | 66.2598 | + | 41.4037i | 2.33101 | + | 1.45658i | ||||
\(809\) | −20.9945 | + | 9.34735i | −0.738127 | + | 0.328635i | −0.741131 | − | 0.671360i | \(-0.765710\pi\) |
0.00300442 | + | 0.999995i | \(0.499044\pi\) | |||||||
\(810\) | 44.0044 | − | 38.7664i | 1.54616 | − | 1.36211i | ||||
\(811\) | −50.6322 | + | 14.5186i | −1.77794 | + | 0.509815i | −0.993840 | − | 0.110823i | \(-0.964651\pi\) |
−0.784097 | + | 0.620638i | \(0.786874\pi\) | |||||||
\(812\) | 4.98769 | − | 4.81656i | 0.175034 | − | 0.169028i | ||||
\(813\) | 29.5499 | − | 60.5863i | 1.03636 | − | 2.12486i | ||||
\(814\) | −22.2118 | + | 32.9304i | −0.778524 | + | 1.15421i | ||||
\(815\) | −12.9437 | + | 23.7197i | −0.453397 | + | 0.830864i | ||||
\(816\) | 121.247 | + | 88.0908i | 4.24448 | + | 3.08379i | ||||
\(817\) | 5.47069 | + | 2.36560i | 0.191395 | + | 0.0827620i | ||||
\(818\) | −47.6418 | −1.66576 | ||||||||
\(819\) | 21.7101 | − | 53.7344i | 0.758613 | − | 1.87763i | ||||
\(820\) | 58.9532 | − | 14.0218i | 2.05873 | − | 0.489662i | ||||
\(821\) | −8.96944 | − | 1.26057i | −0.313035 | − | 0.0439943i | −0.0190940 | − | 0.999818i | \(-0.506078\pi\) |
−0.293941 | + | 0.955823i | \(0.594967\pi\) | |||||||
\(822\) | 43.5861 | + | 23.1751i | 1.52024 | + | 0.808325i | ||||
\(823\) | 32.3004 | − | 9.26199i | 1.12592 | − | 0.322853i | 0.339538 | − | 0.940592i | \(-0.389729\pi\) |
0.786383 | + | 0.617740i | \(0.211951\pi\) | |||||||
\(824\) | 35.1769 | + | 60.9282i | 1.22545 | + | 2.12254i | ||||
\(825\) | −3.30989 | + | 26.0469i | −0.115236 | + | 0.906837i | ||||
\(826\) | −43.2606 | + | 36.2999i | −1.50523 | + | 1.26304i | ||||
\(827\) | −6.63051 | + | 26.5935i | −0.230566 | + | 0.924748i | 0.737761 | + | 0.675062i | \(0.235883\pi\) |
−0.968327 | + | 0.249686i | \(0.919673\pi\) | |||||||
\(828\) | −21.1542 | − | 23.4941i | −0.735160 | − | 0.816478i | ||||
\(829\) | −54.0468 | + | 11.4880i | −1.87712 | + | 0.398994i | −0.997111 | − | 0.0759598i | \(-0.975798\pi\) |
−0.880011 | + | 0.474954i | \(0.842465\pi\) | |||||||
\(830\) | 6.81522 | − | 44.9521i | 0.236560 | − | 1.56031i | ||||
\(831\) | 28.9076 | − | 4.06270i | 1.00279 | − | 0.140934i | ||||
\(832\) | 10.7094 | + | 60.7362i | 0.371283 | + | 2.10565i | ||||
\(833\) | 46.7512 | + | 59.8388i | 1.61983 | + | 2.07329i | ||||
\(834\) | −27.2948 | − | 109.474i | −0.945142 | − | 3.79076i | ||||
\(835\) | −0.552681 | + | 1.20599i | −0.0191263 | + | 0.0417351i | ||||
\(836\) | 46.3128 | + | 12.7431i | 1.60176 | + | 0.440729i | ||||
\(837\) | 2.43008 | + | 1.76556i | 0.0839960 | + | 0.0610266i | ||||
\(838\) | 3.05497 | + | 12.2528i | 0.105532 | + | 0.423267i | ||||
\(839\) | −2.75618 | + | 4.08621i | −0.0951540 | + | 0.141072i | −0.873608 | − | 0.486629i | \(-0.838226\pi\) |
0.778454 | + | 0.627701i | \(0.216004\pi\) | |||||||
\(840\) | 101.679 | − | 158.863i | 3.50827 | − | 5.48131i | ||||
\(841\) | 20.7919 | − | 20.0785i | 0.716962 | − | 0.692363i | ||||
\(842\) | −1.24169 | + | 35.5574i | −0.0427915 | + | 1.22539i | ||||
\(843\) | 22.6335 | + | 39.2023i | 0.779538 | + | 1.35020i | ||||
\(844\) | 57.1771 | + | 12.1534i | 1.96812 | + | 0.418336i | ||||
\(845\) | 6.33318 | + | 23.0254i | 0.217868 | + | 0.792099i | ||||
\(846\) | −10.0245 | − | 24.8116i | −0.344651 | − | 0.853041i | ||||
\(847\) | 18.3885 | + | 20.4224i | 0.631835 | + | 0.701724i | ||||
\(848\) | −113.432 | − | 50.5032i | −3.89527 | − | 1.73429i | ||||
\(849\) | 6.28738 | + | 2.28842i | 0.215782 | + | 0.0785383i | ||||
\(850\) | 57.3968 | + | 50.3215i | 1.96870 | + | 1.72601i | ||||
\(851\) | −2.82115 | − | 15.9996i | −0.0967079 | − | 0.548458i | ||||
\(852\) | −42.8975 | + | 63.5982i | −1.46964 | + | 2.17884i | ||||
\(853\) | −35.1289 | + | 21.9510i | −1.20279 | + | 0.751587i | −0.975018 | − | 0.222127i | \(-0.928700\pi\) |
−0.227773 | + | 0.973714i | \(0.573144\pi\) | |||||||
\(854\) | −8.76650 | + | 26.9805i | −0.299984 | + | 0.923254i | ||||
\(855\) | 12.1382 | + | 22.8338i | 0.415117 | + | 0.780898i | ||||
\(856\) | −25.6614 | − | 78.9776i | −0.877088 | − | 2.69940i | ||||
\(857\) | −3.64486 | − | 3.05840i | −0.124506 | − | 0.104473i | 0.578409 | − | 0.815747i | \(-0.303674\pi\) |
−0.702915 | + | 0.711274i | \(0.748118\pi\) | |||||||
\(858\) | 41.5926 | + | 53.2361i | 1.41995 | + | 1.81745i | ||||
\(859\) | 12.7492 | − | 26.1398i | 0.434998 | − | 0.891878i | −0.562866 | − | 0.826548i | \(-0.690301\pi\) |
0.997864 | − | 0.0653295i | \(-0.0208099\pi\) | |||||||
\(860\) | 5.06198 | + | 14.3911i | 0.172612 | + | 0.490733i | ||||
\(861\) | −55.7244 | + | 15.9787i | −1.89908 | + | 0.544553i | ||||
\(862\) | 5.31444 | − | 50.5635i | 0.181011 | − | 1.72220i | ||||
\(863\) | 27.2584 | − | 12.1362i | 0.927887 | − | 0.413122i | 0.113562 | − | 0.993531i | \(-0.463774\pi\) |
0.814325 | + | 0.580409i | \(0.197107\pi\) | |||||||
\(864\) | 2.60402 | − | 10.4442i | 0.0885907 | − | 0.355318i | ||||
\(865\) | 8.84593 | − | 5.82817i | 0.300771 | − | 0.198164i | ||||
\(866\) | −60.2854 | + | 26.8408i | −2.04858 | + | 0.912087i | ||||
\(867\) | 26.0048 | − | 28.8812i | 0.883168 | − | 0.980858i | ||||
\(868\) | 76.6537 | + | 27.8997i | 2.60179 | + | 0.946976i | ||||
\(869\) | −11.0478 | + | 1.55267i | −0.374771 | + | 0.0526706i | ||||
\(870\) | −2.34573 | + | 3.66495i | −0.0795276 | + | 0.124254i | ||||
\(871\) | −0.834329 | − | 23.8921i | −0.0282702 | − | 0.809551i | ||||
\(872\) | 8.91543 | − | 5.57098i | 0.301915 | − | 0.188657i | ||||
\(873\) | −25.0611 | + | 18.2079i | −0.848189 | + | 0.616246i | ||||
\(874\) | −24.1599 | + | 13.1810i | −0.817220 | + | 0.445852i | ||||
\(875\) | 30.8038 | − | 39.6220i | 1.04136 | − | 1.33947i | ||||
\(876\) | −87.1134 | − | 73.0968i | −2.94329 | − | 2.46971i | ||||
\(877\) | −27.7373 | + | 41.1222i | −0.936622 | + | 1.38860i | −0.0152638 | + | 0.999884i | \(0.504859\pi\) |
−0.921358 | + | 0.388715i | \(0.872919\pi\) | |||||||
\(878\) | −88.0812 | − | 12.3790i | −2.97260 | − | 0.417771i | ||||
\(879\) | 23.8112 | + | 12.6607i | 0.803133 | + | 0.427033i | ||||
\(880\) | 24.7909 | + | 47.8695i | 0.835702 | + | 1.61368i | ||||
\(881\) | −26.2544 | + | 29.1584i | −0.884532 | + | 0.982372i | −0.999940 | − | 0.0109457i | \(-0.996516\pi\) |
0.115408 | + | 0.993318i | \(0.463182\pi\) | |||||||
\(882\) | −46.1193 | + | 79.8810i | −1.55292 | + | 2.68973i | ||||
\(883\) | 21.0417 | + | 13.1483i | 0.708109 | + | 0.442476i | 0.835582 | − | 0.549366i | \(-0.185131\pi\) |
−0.127472 | + | 0.991842i | \(0.540686\pi\) | |||||||
\(884\) | 139.862 | − | 9.78009i | 4.70406 | − | 0.328940i | ||||
\(885\) | 15.0915 | − | 20.3051i | 0.507294 | − | 0.682549i | ||||
\(886\) | 75.0620 | + | 33.4198i | 2.52176 | + | 1.12276i | ||||
\(887\) | 3.08242 | + | 4.56987i | 0.103497 | + | 0.153441i | 0.877229 | − | 0.480073i | \(-0.159390\pi\) |
−0.773731 | + | 0.633514i | \(0.781612\pi\) | |||||||
\(888\) | −91.9540 | + | 88.7990i | −3.08577 | + | 2.97990i | ||||
\(889\) | 27.3598 | + | 26.4211i | 0.917619 | + | 0.886134i | ||||
\(890\) | 22.4531 | − | 26.1770i | 0.752629 | − | 0.877456i | ||||
\(891\) | −5.30053 | − | 21.2593i | −0.177574 | − | 0.712212i | ||||
\(892\) | −27.6297 | − | 85.0353i | −0.925109 | − | 2.84719i | ||||
\(893\) | −16.4421 | + | 2.49122i | −0.550214 | + | 0.0833656i | ||||
\(894\) | 14.6345 | + | 45.0403i | 0.489451 | + | 1.50637i | ||||
\(895\) | −5.69548 | − | 1.06804i | −0.190379 | − | 0.0357007i | ||||
\(896\) | −1.15982 | − | 33.2130i | −0.0387470 | − | 1.10957i | ||||
\(897\) | −27.3628 | − | 3.84559i | −0.913618 | − | 0.128401i | ||||
\(898\) | −17.5158 | − | 35.9126i | −0.584509 | − | 1.19842i | ||||
\(899\) | −1.05954 | − | 0.385639i | −0.0353375 | − | 0.0128618i | ||||
\(900\) | −21.8129 | + | 62.4906i | −0.727097 | + | 2.08302i | ||||
\(901\) | −32.8432 | + | 56.8861i | −1.09417 | + | 1.89515i | ||||
\(902\) | 7.67249 | − | 30.7727i | 0.255466 | − | 1.02462i | ||||
\(903\) | −5.46697 | − | 13.5312i | −0.181929 | − | 0.450291i | ||||
\(904\) | 93.0628 | + | 103.357i | 3.09522 | + | 3.43759i | ||||
\(905\) | 51.5623 | − | 4.85500i | 1.71399 | − | 0.161386i | ||||
\(906\) | −3.66010 | + | 104.812i | −0.121599 | + | 3.48213i | ||||
\(907\) | −2.34402 | + | 13.2936i | −0.0778318 | + | 0.441406i | 0.920843 | + | 0.389934i | \(0.127502\pi\) |
−0.998674 | + | 0.0514718i | \(0.983609\pi\) | |||||||
\(908\) | −22.5519 | + | 11.9910i | −0.748410 | + | 0.397937i | ||||
\(909\) | 25.2127 | + | 7.22962i | 0.836252 | + | 0.239791i | ||||
\(910\) | −16.5847 | − | 128.063i | −0.549777 | − | 4.24523i | ||||
\(911\) | 33.1814 | − | 24.1077i | 1.09935 | − | 0.798724i | 0.118395 | − | 0.992967i | \(-0.462225\pi\) |
0.980953 | + | 0.194243i | \(0.0622250\pi\) | |||||||
\(912\) | 100.451 | + | 52.0341i | 3.32626 | + | 1.72302i | ||||
\(913\) | −13.7422 | − | 9.98430i | −0.454801 | − | 0.330432i | ||||
\(914\) | 9.97873 | + | 0.697781i | 0.330067 | + | 0.0230805i | ||||
\(915\) | 1.02390 | − | 12.6677i | 0.0338489 | − | 0.418782i | ||||
\(916\) | −23.2539 | + | 47.6775i | −0.768329 | + | 1.57531i | ||||
\(917\) | 66.5766 | − | 9.35673i | 2.19855 | − | 0.308986i | ||||
\(918\) | −11.8313 | − | 4.30625i | −0.390492 | − | 0.142127i | ||||
\(919\) | −6.58085 | + | 7.30877i | −0.217082 | + | 0.241094i | −0.841844 | − | 0.539721i | \(-0.818530\pi\) |
0.624761 | + | 0.780816i | \(0.285196\pi\) | |||||||
\(920\) | −39.9963 | − | 13.4766i | −1.31864 | − | 0.444309i | ||||
\(921\) | 10.1539 | + | 25.1319i | 0.334583 | + | 0.828123i | ||||
\(922\) | −32.9899 | − | 81.6528i | −1.08646 | − | 2.68909i | ||||
\(923\) | 3.28925 | + | 31.2951i | 0.108267 | + | 1.03009i | ||||
\(924\) | −58.8066 | − | 101.856i | −1.93460 | − | 3.35082i | ||||
\(925\) | −26.5236 | + | 21.2935i | −0.872091 | + | 0.700127i | ||||
\(926\) | 5.34641 | − | 30.3210i | 0.175694 | − | 0.996411i | ||||
\(927\) | 16.9891 | + | 16.4062i | 0.557995 | + | 0.538849i | ||||
\(928\) | 0.141012 | + | 4.03805i | 0.00462894 | + | 0.132555i | ||||
\(929\) | 26.9016 | − | 16.8100i | 0.882613 | − | 0.551518i | −0.0112105 | − | 0.999937i | \(-0.503568\pi\) |
0.893823 | + | 0.448420i | \(0.148013\pi\) | |||||||
\(930\) | −50.8511 | − | 5.90256i | −1.66747 | − | 0.193553i | ||||
\(931\) | 41.6583 | + | 39.3728i | 1.36530 | + | 1.29039i | ||||
\(932\) | 55.4594 | 1.81663 | ||||||||
\(933\) | −16.4091 | + | 40.6141i | −0.537211 | + | 1.32964i | ||||
\(934\) | −14.2151 | − | 4.07611i | −0.465132 | − | 0.133374i | ||||
\(935\) | 26.5559 | − | 10.3959i | 0.868472 | − | 0.339983i | ||||
\(936\) | 44.7301 | + | 91.7103i | 1.46205 | + | 2.99765i | ||||
\(937\) | 33.0326 | + | 48.9728i | 1.07913 | + | 1.59987i | 0.757291 | + | 0.653078i | \(0.226523\pi\) |
0.321837 | + | 0.946795i | \(0.395700\pi\) | |||||||
\(938\) | −6.09432 | + | 57.9836i | −0.198987 | + | 1.89323i | ||||
\(939\) | −1.10839 | − | 10.5456i | −0.0361710 | − | 0.344144i | ||||
\(940\) | −33.2552 | − | 26.5672i | −1.08466 | − | 0.866527i | ||||
\(941\) | 25.0186 | − | 1.74947i | 0.815582 | − | 0.0570311i | 0.344129 | − | 0.938922i | \(-0.388174\pi\) |
0.471453 | + | 0.881891i | \(0.343730\pi\) | |||||||
\(942\) | −114.240 | − | 24.2824i | −3.72214 | − | 0.791164i | ||||
\(943\) | 6.48582 | + | 11.2338i | 0.211207 | + | 0.365822i | ||||
\(944\) | 1.81278 | − | 51.9112i | 0.0590010 | − | 1.68957i | ||||
\(945\) | −2.36788 | + | 7.93226i | −0.0770270 | + | 0.258036i | ||||
\(946\) | 7.90644 | + | 1.11118i | 0.257061 | + | 0.0361275i | ||||
\(947\) | −0.536784 | − | 15.3715i | −0.0174431 | − | 0.499506i | −0.976402 | − | 0.215961i | \(-0.930712\pi\) |
0.958959 | − | 0.283545i | \(-0.0915106\pi\) | |||||||
\(948\) | −59.7778 | − | 4.18007i | −1.94149 | − | 0.135762i | ||||
\(949\) | −46.6469 | −1.51422 | ||||||||
\(950\) | 48.5272 | + | 31.0659i | 1.57443 | + | 1.00791i | ||||
\(951\) | −6.72329 | −0.218018 | ||||||||
\(952\) | −204.367 | − | 14.2907i | −6.62356 | − | 0.463164i | ||||
\(953\) | −1.49606 | − | 42.8416i | −0.0484622 | − | 1.38778i | −0.743468 | − | 0.668771i | \(-0.766820\pi\) |
0.695006 | − | 0.719004i | \(-0.255402\pi\) | |||||||
\(954\) | −79.0114 | − | 11.1043i | −2.55809 | − | 0.359516i | ||||
\(955\) | 35.3362 | − | 0.850636i | 1.14345 | − | 0.0275259i | ||||
\(956\) | −4.51998 | + | 129.435i | −0.146187 | + | 4.18624i | ||||
\(957\) | 0.812847 | + | 1.40789i | 0.0262756 | + | 0.0455107i | ||||
\(958\) | −18.9675 | − | 4.03166i | −0.612811 | − | 0.130257i | ||||
\(959\) | −35.1664 | + | 2.45907i | −1.13558 | + | 0.0794076i | ||||
\(960\) | 17.8696 | + | 64.9683i | 0.576740 | + | 2.09684i | ||||
\(961\) | 1.85380 | + | 17.6377i | 0.0598000 | + | 0.568959i | ||||
\(962\) | −9.14797 | + | 87.0372i | −0.294943 | + | 2.80619i | ||||
\(963\) | −15.5886 | − | 23.1111i | −0.502336 | − | 0.744744i | ||||
\(964\) | −25.0879 | − | 51.4379i | −0.808028 | − | 1.65670i | ||||
\(965\) | 15.4736 | − | 24.1759i | 0.498113 | − | 0.778249i | ||||
\(966\) | 64.7773 | + | 18.5746i | 2.08417 | + | 0.597627i | ||||
\(967\) | 10.1718 | − | 25.1762i | 0.327104 | − | 0.809611i | −0.670595 | − | 0.741823i | \(-0.733961\pi\) |
0.997700 | − | 0.0677882i | \(-0.0215942\pi\) | |||||||
\(968\) | −48.3844 | −1.55513 | ||||||||
\(969\) | 32.9308 | − | 49.9718i | 1.05789 | − | 1.60533i | ||||
\(970\) | −28.7557 | + | 62.7470i | −0.923289 | + | 2.01469i | ||||
\(971\) | 2.80235 | − | 1.75110i | 0.0899317 | − | 0.0561955i | −0.484208 | − | 0.874953i | \(-0.660892\pi\) |
0.574140 | + | 0.818757i | \(0.305337\pi\) | |||||||
\(972\) | −3.67632 | − | 105.276i | −0.117918 | − | 3.37673i | ||||
\(973\) | 57.9580 | + | 55.9694i | 1.85805 | + | 1.79430i | ||||
\(974\) | −6.32321 | + | 35.8607i | −0.202609 | + | 1.14905i | ||||
\(975\) | 20.5033 | + | 54.0946i | 0.656630 | + | 1.73241i | ||||
\(976\) | −13.0467 | − | 22.5976i | −0.417616 | − | 0.723332i | ||||
\(977\) | −3.20483 | − | 30.4920i | −0.102532 | − | 0.975524i | −0.917962 | − | 0.396669i | \(-0.870166\pi\) |
0.815430 | − | 0.578855i | \(-0.196500\pi\) | |||||||
\(978\) | 28.4555 | + | 70.4298i | 0.909905 | + | 2.25210i | ||||
\(979\) | −4.82669 | − | 11.9465i | −0.154262 | − | 0.381811i | ||||
\(980\) | −1.59013 | + | 146.705i | −0.0507948 | + | 4.68631i | ||||
\(981\) | 2.36146 | − | 2.62267i | 0.0753957 | − | 0.0837354i | ||||
\(982\) | 25.9919 | + | 9.46027i | 0.829434 | + | 0.301889i | ||||
\(983\) | −37.8418 | + | 5.31831i | −1.20697 | + | 0.169628i | −0.713826 | − | 0.700323i | \(-0.753039\pi\) |
−0.493139 | + | 0.869951i | \(0.664151\pi\) | |||||||
\(984\) | 44.7422 | − | 91.7351i | 1.42633 | − | 2.92441i | ||||
\(985\) | −17.3119 | + | 20.1831i | −0.551602 | + | 0.643088i | ||||
\(986\) | 4.71470 | + | 0.329684i | 0.150147 | + | 0.0104993i | ||||
\(987\) | 32.9421 | + | 23.9338i | 1.04856 | + | 0.761822i | ||||
\(988\) | 103.277 | − | 23.1147i | 3.28567 | − | 0.735377i | ||||
\(989\) | −2.64192 | + | 1.91947i | −0.0840083 | + | 0.0610356i | ||||
\(990\) | 23.7919 | + | 25.1777i | 0.756156 | + | 0.800200i | ||||
\(991\) | −41.6198 | − | 11.9343i | −1.32210 | − | 0.379105i | −0.460935 | − | 0.887434i | \(-0.652486\pi\) |
−0.861163 | + | 0.508329i | \(0.830264\pi\) | |||||||
\(992\) | −41.9713 | + | 22.3165i | −1.33259 | + | 0.708551i | ||||
\(993\) | 11.5781 | − | 65.6627i | 0.367420 | − | 2.08374i | ||||
\(994\) | 2.67827 | − | 76.6956i | 0.0849496 | − | 2.43264i | ||||
\(995\) | −2.72484 | + | 12.1693i | −0.0863834 | + | 0.385793i | ||||
\(996\) | −61.0500 | − | 67.8029i | −1.93444 | − | 2.14842i | ||||
\(997\) | 12.4994 | + | 30.9371i | 0.395860 | + | 0.979788i | 0.985124 | + | 0.171847i | \(0.0549734\pi\) |
−0.589264 | + | 0.807941i | \(0.700582\pi\) | |||||||
\(998\) | 17.4487 | − | 69.9827i | 0.552328 | − | 2.21526i | ||||
\(999\) | 2.80517 | − | 4.85869i | 0.0887516 | − | 0.153722i |
(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 | 475.2.bc.a.111.2 | yes | 1152 | |
19.6 | even | 9 | inner | 475.2.bc.a.386.2 | yes | 1152 | |
25.16 | even | 5 | inner | 475.2.bc.a.16.2 | ✓ | 1152 | |
475.291 | even | 45 | inner | 475.2.bc.a.291.2 | yes | 1152 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
475.2.bc.a.16.2 | ✓ | 1152 | 25.16 | even | 5 | inner | |
475.2.bc.a.111.2 | yes | 1152 | 1.1 | even | 1 | trivial | |
475.2.bc.a.291.2 | yes | 1152 | 475.291 | even | 45 | inner | |
475.2.bc.a.386.2 | yes | 1152 | 19.6 | even | 9 | inner |