Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 37.7 | ||
Character | \(\chi\) | \(=\) | 690.37 |
Dual form | 690.2.w.b.373.7 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{21}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.877679 | + | 0.479249i | 0.620613 | + | 0.338880i | ||||
\(3\) | −0.997452 | − | 0.0713392i | −0.575879 | − | 0.0411877i | ||||
\(4\) | 0.540641 | + | 0.841254i | 0.270320 | + | 0.420627i | ||||
\(5\) | −2.09572 | − | 0.779713i | −0.937235 | − | 0.348698i | ||||
\(6\) | −0.841254 | − | 0.540641i | −0.343440 | − | 0.220716i | ||||
\(7\) | −0.448960 | − | 1.20371i | −0.169691 | − | 0.454959i | 0.824070 | − | 0.566488i | \(-0.191698\pi\) |
−0.993761 | + | 0.111529i | \(0.964425\pi\) | |||||||
\(8\) | 0.0713392 | + | 0.997452i | 0.0252222 | + | 0.352653i | ||||
\(9\) | 0.989821 | + | 0.142315i | 0.329940 | + | 0.0474383i | ||||
\(10\) | −1.46569 | − | 1.68871i | −0.463493 | − | 0.534017i | ||||
\(11\) | 0.00232980 | − | 0.00793457i | 0.000702461 | − | 0.00239236i | −0.959141 | − | 0.282929i | \(-0.908694\pi\) |
0.959843 | + | 0.280536i | \(0.0905123\pi\) | |||||||
\(12\) | −0.479249 | − | 0.877679i | −0.138347 | − | 0.253364i | ||||
\(13\) | 5.34764 | + | 1.99457i | 1.48317 | + | 0.553193i | 0.955171 | − | 0.296054i | \(-0.0956708\pi\) |
0.527996 | + | 0.849247i | \(0.322943\pi\) | |||||||
\(14\) | 0.182833 | − | 1.27163i | 0.0488642 | − | 0.339858i | ||||
\(15\) | 2.03476 | + | 0.927233i | 0.525372 | + | 0.239411i | ||||
\(16\) | −0.415415 | + | 0.909632i | −0.103854 | + | 0.227408i | ||||
\(17\) | 1.76969 | − | 0.384973i | 0.429214 | − | 0.0933697i | 0.00723156 | − | 0.999974i | \(-0.497698\pi\) |
0.421982 | + | 0.906604i | \(0.361334\pi\) | |||||||
\(18\) | 0.800541 | + | 0.599278i | 0.188689 | + | 0.141251i | ||||
\(19\) | 5.16179 | − | 3.31728i | 1.18420 | − | 0.761037i | 0.208043 | − | 0.978120i | \(-0.433291\pi\) |
0.976153 | + | 0.217083i | \(0.0696543\pi\) | |||||||
\(20\) | −0.477097 | − | 2.18458i | −0.106682 | − | 0.488486i | ||||
\(21\) | 0.361945 | + | 1.23267i | 0.0789828 | + | 0.268991i | ||||
\(22\) | 0.00584745 | − | 0.00584745i | 0.00124668 | − | 0.00124668i | ||||
\(23\) | 1.70179 | − | 4.48374i | 0.354849 | − | 0.934924i | ||||
\(24\) | − | 1.00000i | − | 0.204124i | ||||||
\(25\) | 3.78410 | + | 3.26812i | 0.756819 | + | 0.653624i | ||||
\(26\) | 3.73761 | + | 4.31344i | 0.733007 | + | 0.845935i | ||||
\(27\) | −0.977147 | − | 0.212565i | −0.188052 | − | 0.0409082i | ||||
\(28\) | 0.769898 | − | 1.02846i | 0.145497 | − | 0.194361i | ||||
\(29\) | 3.74079 | − | 5.82078i | 0.694647 | − | 1.08089i | −0.297366 | − | 0.954763i | \(-0.596108\pi\) |
0.992014 | − | 0.126129i | \(-0.0402553\pi\) | |||||||
\(30\) | 1.34149 | + | 1.78897i | 0.244921 | + | 0.326619i | ||||
\(31\) | 1.20413 | − | 1.38964i | 0.216269 | − | 0.249587i | −0.637241 | − | 0.770665i | \(-0.719924\pi\) |
0.853509 | + | 0.521077i | \(0.174470\pi\) | |||||||
\(32\) | −0.800541 | + | 0.599278i | −0.141517 | + | 0.105938i | ||||
\(33\) | −0.00288991 | + | 0.00774814i | −0.000503068 | + | 0.00134878i | ||||
\(34\) | 1.73772 | + | 0.510241i | 0.298017 | + | 0.0875056i | ||||
\(35\) | 0.00234851 | + | 2.87270i | 0.000396971 | + | 0.485574i | ||||
\(36\) | 0.415415 | + | 0.909632i | 0.0692358 | + | 0.151605i | ||||
\(37\) | −1.50039 | − | 2.00428i | −0.246662 | − | 0.329502i | 0.660074 | − | 0.751201i | \(-0.270525\pi\) |
−0.906736 | + | 0.421699i | \(0.861434\pi\) | |||||||
\(38\) | 6.12020 | − | 0.437725i | 0.992827 | − | 0.0710084i | ||||
\(39\) | −5.19172 | − | 2.37098i | −0.831341 | − | 0.379661i | ||||
\(40\) | 0.628219 | − | 2.14601i | 0.0993301 | − | 0.339313i | ||||
\(41\) | 0.636167 | + | 4.42464i | 0.0993525 | + | 0.691012i | 0.977239 | + | 0.212143i | \(0.0680441\pi\) |
−0.877886 | + | 0.478869i | \(0.841047\pi\) | |||||||
\(42\) | −0.273085 | + | 1.25535i | −0.0421379 | + | 0.193705i | ||||
\(43\) | −0.451519 | + | 6.31307i | −0.0688561 | + | 0.962734i | 0.839183 | + | 0.543849i | \(0.183033\pi\) |
−0.908039 | + | 0.418885i | \(0.862421\pi\) | |||||||
\(44\) | 0.00793457 | − | 0.00232980i | 0.00119618 | − | 0.000351230i | ||||
\(45\) | −1.96343 | − | 1.07003i | −0.292690 | − | 0.159510i | ||||
\(46\) | 3.64246 | − | 3.11970i | 0.537051 | − | 0.459974i | ||||
\(47\) | 0.432950 | + | 0.432950i | 0.0631522 | + | 0.0631522i | 0.737978 | − | 0.674825i | \(-0.235781\pi\) |
−0.674825 | + | 0.737978i | \(0.735781\pi\) | |||||||
\(48\) | 0.479249 | − | 0.877679i | 0.0691736 | − | 0.126682i | ||||
\(49\) | 4.04290 | − | 3.50319i | 0.577557 | − | 0.500456i | ||||
\(50\) | 1.75498 | + | 4.68189i | 0.248191 | + | 0.662119i | ||||
\(51\) | −1.79265 | + | 0.257744i | −0.251021 | + | 0.0360914i | ||||
\(52\) | 1.21322 | + | 5.57706i | 0.168243 | + | 0.773399i | ||||
\(53\) | −11.7829 | + | 4.39479i | −1.61851 | + | 0.603671i | −0.985379 | − | 0.170377i | \(-0.945502\pi\) |
−0.633127 | + | 0.774048i | \(0.718229\pi\) | |||||||
\(54\) | −0.755750 | − | 0.654861i | −0.102844 | − | 0.0891153i | ||||
\(55\) | −0.0110693 | + | 0.0148121i | −0.00149258 | + | 0.00199726i | ||||
\(56\) | 1.16861 | − | 0.533688i | 0.156162 | − | 0.0713170i | ||||
\(57\) | −5.38529 | + | 2.94059i | −0.713299 | + | 0.389491i | ||||
\(58\) | 6.07282 | − | 3.31601i | 0.797400 | − | 0.435413i | ||||
\(59\) | −3.99100 | + | 1.82263i | −0.519584 | + | 0.237286i | −0.657905 | − | 0.753101i | \(-0.728557\pi\) |
0.138320 | + | 0.990388i | \(0.455830\pi\) | |||||||
\(60\) | 0.320035 | + | 2.21305i | 0.0413163 | + | 0.285703i | ||||
\(61\) | 1.16714 | + | 1.01133i | 0.149437 | + | 0.129488i | 0.726371 | − | 0.687303i | \(-0.241205\pi\) |
−0.576934 | + | 0.816791i | \(0.695751\pi\) | |||||||
\(62\) | 1.72283 | − | 0.642582i | 0.218799 | − | 0.0816080i | ||||
\(63\) | −0.273085 | − | 1.25535i | −0.0344054 | − | 0.158159i | ||||
\(64\) | −0.989821 | + | 0.142315i | −0.123728 | + | 0.0177894i | ||||
\(65\) | −9.65197 | − | 8.34967i | −1.19718 | − | 1.03565i | ||||
\(66\) | −0.00624970 | + | 0.00541540i | −0.000769285 | + | 0.000666589i | ||||
\(67\) | 2.37799 | − | 4.35496i | 0.290518 | − | 0.532043i | −0.691134 | − | 0.722727i | \(-0.742889\pi\) |
0.981652 | + | 0.190683i | \(0.0610703\pi\) | |||||||
\(68\) | 1.28063 | + | 1.28063i | 0.155299 | + | 0.155299i | ||||
\(69\) | −2.01732 | + | 4.35091i | −0.242857 | + | 0.523788i | ||||
\(70\) | −1.37468 | + | 2.52243i | −0.164305 | + | 0.301488i | ||||
\(71\) | 13.8586 | − | 4.06927i | 1.64472 | − | 0.482933i | 0.677214 | − | 0.735786i | \(-0.263187\pi\) |
0.967505 | + | 0.252853i | \(0.0813689\pi\) | |||||||
\(72\) | −0.0713392 | + | 0.997452i | −0.00840740 | + | 0.117551i | ||||
\(73\) | −2.82922 | + | 13.0057i | −0.331135 | + | 1.52220i | 0.447245 | + | 0.894412i | \(0.352405\pi\) |
−0.778380 | + | 0.627793i | \(0.783958\pi\) | |||||||
\(74\) | −0.356308 | − | 2.47817i | −0.0414199 | − | 0.288082i | ||||
\(75\) | −3.54131 | − | 3.52975i | −0.408915 | − | 0.407580i | ||||
\(76\) | 5.58135 | + | 2.54892i | 0.640225 | + | 0.292381i | ||||
\(77\) | −0.0105969 | 0.000757905i | −0.00120763 | 8.63712e-5i | ||||||
\(78\) | −3.42037 | − | 4.56909i | −0.387281 | − | 0.517347i | ||||
\(79\) | −5.54935 | − | 12.1514i | −0.624351 | − | 1.36714i | −0.912312 | − | 0.409495i | \(-0.865705\pi\) |
0.287962 | − | 0.957642i | \(-0.407022\pi\) | |||||||
\(80\) | 1.57985 | − | 1.58243i | 0.176632 | − | 0.176921i | ||||
\(81\) | 0.959493 | + | 0.281733i | 0.106610 | + | 0.0313036i | ||||
\(82\) | −1.56215 | + | 4.18829i | −0.172511 | + | 0.462519i | ||||
\(83\) | −2.53753 | + | 1.89957i | −0.278530 | + | 0.208505i | −0.729405 | − | 0.684082i | \(-0.760203\pi\) |
0.450875 | + | 0.892587i | \(0.351112\pi\) | |||||||
\(84\) | −0.841306 | + | 0.970919i | −0.0917940 | + | 0.105936i | ||||
\(85\) | −4.00895 | − | 0.573056i | −0.434832 | − | 0.0621566i | ||||
\(86\) | −3.42182 | + | 5.32446i | −0.368984 | + | 0.574151i | ||||
\(87\) | −4.14651 | + | 5.53909i | −0.444552 | + | 0.593853i | ||||
\(88\) | 0.00808056 | + | 0.00175782i | 0.000861390 | + | 0.000187384i | ||||
\(89\) | −1.24013 | − | 1.43119i | −0.131454 | − | 0.151706i | 0.686206 | − | 0.727407i | \(-0.259275\pi\) |
−0.817660 | + | 0.575701i | \(0.804729\pi\) | |||||||
\(90\) | −1.21045 | − | 1.88011i | −0.127592 | − | 0.198181i | ||||
\(91\) | − | 7.33247i | − | 0.768652i | ||||||
\(92\) | 4.69202 | − | 0.992450i | 0.489177 | − | 0.103470i | ||||
\(93\) | −1.30020 | + | 1.30020i | −0.134825 | + | 0.134825i | ||||
\(94\) | 0.172500 | + | 0.587482i | 0.0177920 | + | 0.0605941i | ||||
\(95\) | −13.4042 | + | 2.92738i | −1.37524 | + | 0.300343i | ||||
\(96\) | 0.841254 | − | 0.540641i | 0.0858601 | − | 0.0551789i | ||||
\(97\) | −4.18289 | − | 3.13127i | −0.424708 | − | 0.317933i | 0.365455 | − | 0.930829i | \(-0.380913\pi\) |
−0.790163 | + | 0.612896i | \(0.790004\pi\) | |||||||
\(98\) | 5.22727 | − | 1.13712i | 0.528034 | − | 0.114867i | ||||
\(99\) | 0.00343529 | − | 0.00752224i | 0.000345260 | − | 0.000756014i | ||||
\(100\) | −0.703481 | + | 4.95026i | −0.0703481 | + | 0.495026i | ||||
\(101\) | −0.383773 | + | 2.66920i | −0.0381869 | + | 0.265596i | −0.999966 | − | 0.00823041i | \(-0.997380\pi\) |
0.961779 | + | 0.273826i | \(0.0882892\pi\) | |||||||
\(102\) | −1.69689 | − | 0.632909i | −0.168017 | − | 0.0626673i | ||||
\(103\) | 3.48788 | + | 6.38757i | 0.343671 | + | 0.629386i | 0.991158 | − | 0.132691i | \(-0.0423616\pi\) |
−0.647487 | + | 0.762077i | \(0.724180\pi\) | |||||||
\(104\) | −1.60799 | + | 5.47630i | −0.157676 | + | 0.536996i | ||||
\(105\) | 0.202593 | − | 2.86555i | 0.0197711 | − | 0.279649i | ||||
\(106\) | −12.4478 | − | 1.78972i | −1.20904 | − | 0.173833i | ||||
\(107\) | −0.964952 | − | 13.4918i | −0.0932854 | − | 1.30430i | −0.801368 | − | 0.598171i | \(-0.795894\pi\) |
0.708083 | − | 0.706129i | \(-0.249560\pi\) | |||||||
\(108\) | −0.349464 | − | 0.936950i | −0.0336272 | − | 0.0901580i | ||||
\(109\) | 14.0939 | + | 9.05757i | 1.34995 | + | 0.867558i | 0.997662 | − | 0.0683348i | \(-0.0217686\pi\) |
0.352284 | + | 0.935893i | \(0.385405\pi\) | |||||||
\(110\) | −0.0168140 | + | 0.00769529i | −0.00160315 | + | 0.000733717i | ||||
\(111\) | 1.35358 | + | 2.10621i | 0.128476 | + | 0.199913i | ||||
\(112\) | 1.28144 | + | 0.0916501i | 0.121084 | + | 0.00866012i | ||||
\(113\) | −12.2649 | − | 6.69716i | −1.15379 | − | 0.630016i | −0.215716 | − | 0.976456i | \(-0.569209\pi\) |
−0.938072 | + | 0.346440i | \(0.887390\pi\) | |||||||
\(114\) | −6.13583 | −0.574673 | ||||||||
\(115\) | −7.06251 | + | 8.06975i | −0.658583 | + | 0.752508i | ||||
\(116\) | 6.91918 | 0.642430 | ||||||||
\(117\) | 5.00935 | + | 2.73531i | 0.463115 | + | 0.252880i | ||||
\(118\) | −4.37631 | − | 0.313000i | −0.402872 | − | 0.0288140i | ||||
\(119\) | −1.25792 | − | 1.95736i | −0.115313 | − | 0.179431i | ||||
\(120\) | −0.779713 | + | 2.09572i | −0.0711777 | + | 0.191312i | ||||
\(121\) | 9.25373 | + | 5.94701i | 0.841248 | + | 0.540637i | ||||
\(122\) | 0.539695 | + | 1.44698i | 0.0488617 | + | 0.131003i | ||||
\(123\) | −0.318896 | − | 4.45875i | −0.0287539 | − | 0.402032i | ||||
\(124\) | 1.82005 | + | 0.261683i | 0.163445 | + | 0.0234998i | ||||
\(125\) | −5.38222 | − | 9.79958i | −0.481400 | − | 0.876501i | ||||
\(126\) | 0.361945 | − | 1.23267i | 0.0322446 | − | 0.109815i | ||||
\(127\) | −2.43067 | − | 4.45144i | −0.215687 | − | 0.395001i | 0.747326 | − | 0.664458i | \(-0.231338\pi\) |
−0.963012 | + | 0.269457i | \(0.913156\pi\) | |||||||
\(128\) | −0.936950 | − | 0.349464i | −0.0828154 | − | 0.0308886i | ||||
\(129\) | 0.900738 | − | 6.26477i | 0.0793056 | − | 0.551582i | ||||
\(130\) | −4.46976 | − | 11.9540i | −0.392024 | − | 1.04844i | ||||
\(131\) | −4.78860 | + | 10.4856i | −0.418382 | + | 0.916129i | 0.576689 | + | 0.816964i | \(0.304345\pi\) |
−0.995071 | + | 0.0991653i | \(0.968383\pi\) | |||||||
\(132\) | −0.00808056 | + | 0.00175782i | −0.000703322 | + | 0.000152998i | ||||
\(133\) | −6.31048 | − | 4.72396i | −0.547188 | − | 0.409620i | ||||
\(134\) | 4.17422 | − | 2.68261i | 0.360598 | − | 0.231742i | ||||
\(135\) | 1.88209 | + | 1.20737i | 0.161984 | + | 0.103914i | ||||
\(136\) | 0.510241 | + | 1.73772i | 0.0437528 | + | 0.149008i | ||||
\(137\) | 10.5041 | − | 10.5041i | 0.897429 | − | 0.897429i | −0.0977792 | − | 0.995208i | \(-0.531174\pi\) |
0.995208 | + | 0.0977792i | \(0.0311739\pi\) | |||||||
\(138\) | −3.85573 | + | 2.85190i | −0.328222 | + | 0.242770i | ||||
\(139\) | − | 12.9902i | − | 1.10182i | −0.834566 | − | 0.550909i | \(-0.814281\pi\) | ||
0.834566 | − | 0.550909i | \(-0.185719\pi\) | |||||||
\(140\) | −2.41540 | + | 1.55507i | −0.204138 | + | 0.131428i | ||||
\(141\) | −0.400960 | − | 0.462733i | −0.0337670 | − | 0.0389691i | ||||
\(142\) | 14.1136 | + | 3.07023i | 1.18439 | + | 0.257648i | ||||
\(143\) | 0.0282849 | − | 0.0377842i | 0.00236530 | − | 0.00315968i | ||||
\(144\) | −0.540641 | + | 0.841254i | −0.0450534 | + | 0.0701045i | ||||
\(145\) | −12.3782 | + | 9.28200i | −1.02795 | + | 0.770828i | ||||
\(146\) | −8.71613 | + | 10.0589i | −0.721352 | + | 0.832485i | ||||
\(147\) | −4.28251 | + | 3.20585i | −0.353216 | + | 0.264414i | ||||
\(148\) | 0.874939 | − | 2.34580i | 0.0719195 | − | 0.192824i | ||||
\(149\) | 3.10831 | + | 0.912683i | 0.254643 | + | 0.0747699i | 0.406563 | − | 0.913623i | \(-0.366727\pi\) |
−0.151920 | + | 0.988393i | \(0.548545\pi\) | |||||||
\(150\) | −1.41651 | − | 4.79516i | −0.115657 | − | 0.391523i | ||||
\(151\) | −1.81157 | − | 3.96678i | −0.147423 | − | 0.322812i | 0.821486 | − | 0.570229i | \(-0.193146\pi\) |
−0.968909 | + | 0.247417i | \(0.920418\pi\) | |||||||
\(152\) | 3.67707 | + | 4.91199i | 0.298250 | + | 0.398415i | ||||
\(153\) | 1.80647 | − | 0.129201i | 0.146044 | − | 0.0104453i | ||||
\(154\) | −0.00966389 | − | 0.00441335i | −0.000778739 | − | 0.000355638i | ||||
\(155\) | −3.60705 | + | 1.97343i | −0.289725 | + | 0.158510i | ||||
\(156\) | −0.812261 | − | 5.64940i | −0.0650330 | − | 0.452314i | ||||
\(157\) | −4.62335 | + | 21.2532i | −0.368984 | + | 1.69619i | 0.300843 | + | 0.953674i | \(0.402732\pi\) |
−0.669827 | + | 0.742517i | \(0.733632\pi\) | |||||||
\(158\) | 0.952989 | − | 13.3245i | 0.0758158 | − | 1.06004i | ||||
\(159\) | 12.0664 | − | 3.54301i | 0.956928 | − | 0.280979i | ||||
\(160\) | 2.14498 | − | 0.631727i | 0.169575 | − | 0.0499424i | ||||
\(161\) | −6.16115 | − | 0.0354462i | −0.485567 | − | 0.00279356i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | −1.60656 | + | 2.94220i | −0.125836 | + | 0.230451i | −0.933000 | − | 0.359876i | \(-0.882819\pi\) |
0.807165 | + | 0.590326i | \(0.201001\pi\) | |||||||
\(164\) | −3.37830 | + | 2.92732i | −0.263801 | + | 0.228585i | ||||
\(165\) | 0.0120978 | − | 0.0139847i | 0.000941810 | − | 0.00108870i | ||||
\(166\) | −3.13750 | + | 0.451105i | −0.243517 | + | 0.0350125i | ||||
\(167\) | 0.575368 | + | 2.64492i | 0.0445233 | + | 0.204670i | 0.994035 | − | 0.109061i | \(-0.0347845\pi\) |
−0.949512 | + | 0.313731i | \(0.898421\pi\) | |||||||
\(168\) | −1.20371 | + | 0.448960i | −0.0928681 | + | 0.0346380i | ||||
\(169\) | 14.7942 | + | 12.8192i | 1.13801 | + | 0.986095i | ||||
\(170\) | −3.24394 | − | 2.42425i | −0.248799 | − | 0.185931i | ||||
\(171\) | 5.58135 | − | 2.54892i | 0.426816 | − | 0.194921i | ||||
\(172\) | −5.55500 | + | 3.03326i | −0.423565 | + | 0.231284i | ||||
\(173\) | −12.3561 | + | 6.74697i | −0.939421 | + | 0.512962i | −0.874552 | − | 0.484931i | \(-0.838845\pi\) |
−0.0648683 | + | 0.997894i | \(0.520663\pi\) | |||||||
\(174\) | −6.29391 | + | 2.87433i | −0.477140 | + | 0.217902i | ||||
\(175\) | 2.23496 | − | 6.02220i | 0.168947 | − | 0.455236i | ||||
\(176\) | 0.00624970 | + | 0.00541540i | 0.000471089 | + | 0.000408201i | ||||
\(177\) | 4.11086 | − | 1.53327i | 0.308991 | − | 0.115248i | ||||
\(178\) | −0.402543 | − | 1.85046i | −0.0301719 | − | 0.138698i | ||||
\(179\) | −25.0923 | + | 3.60772i | −1.87548 | + | 0.269654i | −0.983297 | − | 0.182010i | \(-0.941740\pi\) |
−0.892188 | + | 0.451664i | \(0.850830\pi\) | |||||||
\(180\) | −0.161343 | − | 2.23024i | −0.0120258 | − | 0.166232i | ||||
\(181\) | 4.62077 | − | 4.00392i | 0.343459 | − | 0.297609i | −0.466001 | − | 0.884784i | \(-0.654306\pi\) |
0.809460 | + | 0.587175i | \(0.199760\pi\) | |||||||
\(182\) | 3.51408 | − | 6.43556i | 0.260481 | − | 0.477035i | ||||
\(183\) | −1.09202 | − | 1.09202i | −0.0807245 | − | 0.0807245i | ||||
\(184\) | 4.59372 | + | 1.37759i | 0.338653 | + | 0.101557i | ||||
\(185\) | 1.58163 | + | 5.37029i | 0.116284 | + | 0.394831i | ||||
\(186\) | −1.76428 | + | 0.518039i | −0.129363 | + | 0.0379845i | ||||
\(187\) | 0.00106843 | − | 0.0149387i | 7.81317e−5 | − | 0.00109242i | ||||
\(188\) | −0.130150 | + | 0.598291i | −0.00949218 | + | 0.0436348i | ||||
\(189\) | 0.182833 | + | 1.27163i | 0.0132992 | + | 0.0924977i | ||||
\(190\) | −13.1675 | − | 3.85465i | −0.955273 | − | 0.279645i | ||||
\(191\) | 1.87604 | + | 0.856759i | 0.135746 | + | 0.0619929i | 0.482130 | − | 0.876100i | \(-0.339863\pi\) |
−0.346384 | + | 0.938093i | \(0.612591\pi\) | |||||||
\(192\) | 0.997452 | − | 0.0713392i | 0.0719849 | − | 0.00514846i | ||||
\(193\) | 3.83572 | + | 5.12392i | 0.276101 | + | 0.368828i | 0.917061 | − | 0.398746i | \(-0.130555\pi\) |
−0.640960 | + | 0.767574i | \(0.721464\pi\) | |||||||
\(194\) | −2.17058 | − | 4.75290i | −0.155838 | − | 0.341238i | ||||
\(195\) | 9.03172 | + | 9.01696i | 0.646775 | + | 0.645718i | ||||
\(196\) | 5.13283 | + | 1.50713i | 0.366631 | + | 0.107652i | ||||
\(197\) | −5.08046 | + | 13.6212i | −0.361968 | + | 0.970473i | 0.620528 | + | 0.784185i | \(0.286918\pi\) |
−0.982495 | + | 0.186288i | \(0.940354\pi\) | |||||||
\(198\) | 0.00662011 | − | 0.00495575i | 0.000470471 | − | 0.000352190i | ||||
\(199\) | 7.68702 | − | 8.87130i | 0.544919 | − | 0.628870i | −0.414773 | − | 0.909925i | \(-0.636139\pi\) |
0.959692 | + | 0.281055i | \(0.0906845\pi\) | |||||||
\(200\) | −2.98984 | + | 4.00760i | −0.211414 | + | 0.283380i | ||||
\(201\) | −2.68261 | + | 4.17422i | −0.189217 | + | 0.294427i | ||||
\(202\) | −1.61604 | + | 2.15878i | −0.113704 | + | 0.151891i | ||||
\(203\) | −8.68599 | − | 1.88952i | −0.609637 | − | 0.132618i | ||||
\(204\) | −1.18601 | − | 1.36872i | −0.0830371 | − | 0.0958299i | ||||
\(205\) | 2.11672 | − | 9.76883i | 0.147838 | − | 0.682285i | ||||
\(206\) | 7.27780i | 0.507068i | ||||||||
\(207\) | 2.32258 | − | 4.19591i | 0.161430 | − | 0.291636i | ||||
\(208\) | −4.03581 | + | 4.03581i | −0.279833 | + | 0.279833i | ||||
\(209\) | −0.0142953 | − | 0.0486852i | −0.000988824 | − | 0.00336762i | ||||
\(210\) | 1.55112 | − | 2.41794i | 0.107038 | − | 0.166853i | ||||
\(211\) | 14.3018 | − | 9.19122i | 0.984577 | − | 0.632749i | 0.0538829 | − | 0.998547i | \(-0.482840\pi\) |
0.930694 | + | 0.365798i | \(0.119204\pi\) | |||||||
\(212\) | −10.0675 | − | 7.53640i | −0.691436 | − | 0.517602i | ||||
\(213\) | −14.1136 | + | 3.07023i | −0.967050 | + | 0.210369i | ||||
\(214\) | 5.61901 | − | 12.3039i | 0.384108 | − | 0.841078i | ||||
\(215\) | 5.86864 | − | 12.8784i | 0.400238 | − | 0.878298i | ||||
\(216\) | 0.142315 | − | 0.989821i | 0.00968330 | − | 0.0673488i | ||||
\(217\) | −2.21333 | − | 0.825531i | −0.150251 | − | 0.0560407i | ||||
\(218\) | 8.02905 | + | 14.7041i | 0.543796 | + | 0.995888i | ||||
\(219\) | 3.74983 | − | 12.7708i | 0.253390 | − | 0.862967i | ||||
\(220\) | −0.0184452 | − | 0.00130407i | −0.00124358 | − | 8.79205e-5i | ||||
\(221\) | 10.2315 | + | 1.47107i | 0.688247 | + | 0.0989550i | ||||
\(222\) | 0.178609 | + | 2.49728i | 0.0119874 | + | 0.167606i | ||||
\(223\) | −4.56170 | − | 12.2304i | −0.305474 | − | 0.819008i | −0.995460 | − | 0.0951847i | \(-0.969656\pi\) |
0.689985 | − | 0.723823i | \(-0.257617\pi\) | |||||||
\(224\) | 1.08077 | + | 0.694566i | 0.0722117 | + | 0.0464077i | ||||
\(225\) | 3.28048 | + | 3.77339i | 0.218699 | + | 0.251559i | ||||
\(226\) | −7.55507 | − | 11.7559i | −0.502556 | − | 0.781992i | ||||
\(227\) | −20.7884 | − | 1.48682i | −1.37978 | − | 0.0986836i | −0.638365 | − | 0.769734i | \(-0.720389\pi\) |
−0.741412 | + | 0.671050i | \(0.765843\pi\) | |||||||
\(228\) | −5.38529 | − | 2.94059i | −0.356650 | − | 0.194745i | ||||
\(229\) | 1.01627 | 0.0671572 | 0.0335786 | − | 0.999436i | \(-0.489310\pi\) | ||||
0.0335786 | + | 0.999436i | \(0.489310\pi\) | |||||||
\(230\) | −10.0660 | + | 3.69795i | −0.663735 | + | 0.243836i | ||||
\(231\) | 0.0106240 | 0.000699005 | ||||||||
\(232\) | 6.07282 | + | 3.31601i | 0.398700 | + | 0.217707i | ||||
\(233\) | 12.2432 | + | 0.875649i | 0.802077 | + | 0.0573657i | 0.466358 | − | 0.884596i | \(-0.345566\pi\) |
0.335720 | + | 0.941962i | \(0.391021\pi\) | |||||||
\(234\) | 3.08571 | + | 4.80145i | 0.201719 | + | 0.313881i | ||||
\(235\) | −0.569766 | − | 1.24492i | −0.0371674 | − | 0.0812095i | ||||
\(236\) | −3.69099 | − | 2.37206i | −0.240263 | − | 0.154408i | ||||
\(237\) | 4.66834 | + | 12.5163i | 0.303241 | + | 0.813021i | ||||
\(238\) | −0.165986 | − | 2.32079i | −0.0107593 | − | 0.150434i | ||||
\(239\) | −4.73601 | − | 0.680936i | −0.306347 | − | 0.0440461i | −0.0125730 | − | 0.999921i | \(-0.504002\pi\) |
−0.293774 | + | 0.955875i | \(0.594911\pi\) | |||||||
\(240\) | −1.68871 | + | 1.46569i | −0.109006 | + | 0.0946102i | ||||
\(241\) | −1.68769 | + | 5.74774i | −0.108714 | + | 0.370245i | −0.995822 | − | 0.0913167i | \(-0.970892\pi\) |
0.887108 | + | 0.461561i | \(0.152711\pi\) | |||||||
\(242\) | 5.27171 | + | 9.65441i | 0.338878 | + | 0.620609i | ||||
\(243\) | −0.936950 | − | 0.349464i | −0.0601054 | − | 0.0224181i | ||||
\(244\) | −0.219784 | + | 1.52863i | −0.0140702 | + | 0.0978606i | ||||
\(245\) | −11.2043 | + | 4.18941i | −0.715815 | + | 0.267652i | ||||
\(246\) | 1.85696 | − | 4.06618i | 0.118396 | − | 0.259250i | ||||
\(247\) | 34.2199 | − | 7.44409i | 2.17736 | − | 0.473656i | ||||
\(248\) | 1.47201 | + | 1.10193i | 0.0934724 | + | 0.0699726i | ||||
\(249\) | 2.66658 | − | 1.71370i | 0.168987 | − | 0.108602i | ||||
\(250\) | −0.0274207 | − | 11.1803i | −0.00173424 | − | 0.707105i | ||||
\(251\) | 7.41141 | + | 25.2409i | 0.467804 | + | 1.59319i | 0.768748 | + | 0.639552i | \(0.220880\pi\) |
−0.300944 | + | 0.953642i | \(0.597302\pi\) | |||||||
\(252\) | 0.908427 | − | 0.908427i | 0.0572255 | − | 0.0572255i | ||||
\(253\) | −0.0316117 | − | 0.0239492i | −0.00198741 | − | 0.00150567i | ||||
\(254\) | − | 5.07183i | − | 0.318235i | ||||||
\(255\) | 3.95786 | + | 0.857591i | 0.247851 | + | 0.0537044i | ||||
\(256\) | −0.654861 | − | 0.755750i | −0.0409288 | − | 0.0472343i | ||||
\(257\) | 27.7447 | + | 6.03549i | 1.73067 | + | 0.376483i | 0.964070 | − | 0.265647i | \(-0.0855854\pi\) |
0.766596 | + | 0.642130i | \(0.221949\pi\) | |||||||
\(258\) | 3.79294 | − | 5.06678i | 0.236138 | − | 0.315444i | ||||
\(259\) | −1.73896 | + | 2.70587i | −0.108054 | + | 0.168135i | ||||
\(260\) | 1.80594 | − | 12.6339i | 0.112000 | − | 0.783523i | ||||
\(261\) | 4.53110 | − | 5.22917i | 0.280468 | − | 0.323677i | ||||
\(262\) | −9.22806 | + | 6.90804i | −0.570111 | + | 0.426780i | ||||
\(263\) | 6.02473 | − | 16.1529i | 0.371501 | − | 0.996032i | −0.607884 | − | 0.794026i | \(-0.707981\pi\) |
0.979384 | − | 0.202006i | \(-0.0647460\pi\) | |||||||
\(264\) | −0.00793457 | − | 0.00232980i | −0.000488339 | − | 0.000143389i | ||||
\(265\) | 28.1204 | − | 0.0229892i | 1.72742 | − | 0.00141221i | ||||
\(266\) | −3.27462 | − | 7.17041i | −0.200780 | − | 0.439646i | ||||
\(267\) | 1.13487 | + | 1.51601i | 0.0694532 | + | 0.0927786i | ||||
\(268\) | 4.94927 | − | 0.353979i | 0.302325 | − | 0.0216227i | ||||
\(269\) | 0.719166 | + | 0.328432i | 0.0438483 | + | 0.0200248i | 0.437218 | − | 0.899355i | \(-0.355964\pi\) |
−0.393370 | + | 0.919380i | \(0.628691\pi\) | |||||||
\(270\) | 1.07324 | + | 1.96167i | 0.0653151 | + | 0.119384i | ||||
\(271\) | −2.35649 | − | 16.3898i | −0.143147 | − | 0.995608i | −0.927107 | − | 0.374797i | \(-0.877713\pi\) |
0.783960 | − | 0.620811i | \(-0.213197\pi\) | |||||||
\(272\) | −0.384973 | + | 1.76969i | −0.0233424 | + | 0.107303i | ||||
\(273\) | −0.523093 | + | 7.31379i | −0.0316590 | + | 0.442651i | ||||
\(274\) | 14.2534 | − | 4.18516i | 0.861077 | − | 0.252835i | ||||
\(275\) | 0.0347473 | − | 0.0224111i | 0.00209534 | − | 0.00135144i | ||||
\(276\) | −4.75086 | + | 0.655197i | −0.285968 | + | 0.0394382i | ||||
\(277\) | −8.04938 | − | 8.04938i | −0.483641 | − | 0.483641i | 0.422652 | − | 0.906292i | \(-0.361099\pi\) |
−0.906292 | + | 0.422652i | \(0.861099\pi\) | |||||||
\(278\) | 6.22556 | − | 11.4013i | 0.373384 | − | 0.683802i | ||||
\(279\) | 1.38964 | − | 1.20413i | 0.0831958 | − | 0.0720896i | ||||
\(280\) | −2.86521 | + | 0.207278i | −0.171229 | + | 0.0123873i | ||||
\(281\) | −25.4979 | + | 3.66604i | −1.52108 | + | 0.218698i | −0.851622 | − | 0.524156i | \(-0.824381\pi\) |
−0.669454 | + | 0.742854i | \(0.733472\pi\) | |||||||
\(282\) | −0.130150 | − | 0.598291i | −0.00775033 | − | 0.0356277i | ||||
\(283\) | −4.67868 | + | 1.74506i | −0.278119 | + | 0.103733i | −0.484653 | − | 0.874706i | \(-0.661054\pi\) |
0.206534 | + | 0.978439i | \(0.433781\pi\) | |||||||
\(284\) | 10.9158 | + | 9.45863i | 0.647736 | + | 0.561266i | ||||
\(285\) | 13.5789 | − | 1.96368i | 0.804344 | − | 0.116318i | ||||
\(286\) | 0.0429332 | − | 0.0196069i | 0.00253869 | − | 0.00115938i | ||||
\(287\) | 5.04036 | − | 2.75224i | 0.297523 | − | 0.162460i | ||||
\(288\) | −0.877679 | + | 0.479249i | −0.0517177 | + | 0.0282400i | ||||
\(289\) | −12.4801 | + | 5.69949i | −0.734125 | + | 0.335264i | ||||
\(290\) | −15.3125 | + | 2.21438i | −0.899179 | + | 0.130033i | ||||
\(291\) | 3.94885 | + | 3.42170i | 0.231486 | + | 0.200584i | ||||
\(292\) | −12.4707 | + | 4.65133i | −0.729793 | + | 0.272199i | ||||
\(293\) | 3.58820 | + | 16.4947i | 0.209625 | + | 0.963631i | 0.954912 | + | 0.296887i | \(0.0959486\pi\) |
−0.745287 | + | 0.666743i | \(0.767688\pi\) | |||||||
\(294\) | −5.29507 | + | 0.761316i | −0.308815 | + | 0.0444009i | ||||
\(295\) | 9.78516 | − | 0.707889i | 0.569714 | − | 0.0412149i | ||||
\(296\) | 1.89214 | − | 1.63955i | 0.109978 | − | 0.0952967i | ||||
\(297\) | −0.00396317 | + | 0.00725800i | −0.000229966 | + | 0.000421152i | ||||
\(298\) | 2.29070 | + | 2.29070i | 0.132697 | + | 0.132697i | ||||
\(299\) | 18.0437 | − | 20.5831i | 1.04349 | − | 1.19035i | ||||
\(300\) | 1.05484 | − | 4.88747i | 0.0609010 | − | 0.282178i | ||||
\(301\) | 7.80180 | − | 2.29082i | 0.449689 | − | 0.132040i | ||||
\(302\) | 0.311101 | − | 4.34976i | 0.0179018 | − | 0.250300i | ||||
\(303\) | 0.573214 | − | 2.63502i | 0.0329303 | − | 0.151378i | ||||
\(304\) | 0.873220 | + | 6.07338i | 0.0500826 | + | 0.348332i | ||||
\(305\) | −1.65745 | − | 3.02951i | −0.0949056 | − | 0.173469i | ||||
\(306\) | 1.64742 | + | 0.752351i | 0.0941767 | + | 0.0430090i | ||||
\(307\) | −27.8580 | + | 1.99244i | −1.58994 | + | 0.113715i | −0.838056 | − | 0.545584i | \(-0.816308\pi\) |
−0.751881 | + | 0.659299i | \(0.770853\pi\) | |||||||
\(308\) | −0.00636670 | − | 0.00850492i | −0.000362776 | − | 0.000484613i | ||||
\(309\) | −3.02331 | − | 6.62012i | −0.171990 | − | 0.376606i | ||||
\(310\) | −4.11160 | + | 0.00336135i | −0.233523 | + | 0.000190912i | ||||
\(311\) | 8.74213 | + | 2.56692i | 0.495721 | + | 0.145557i | 0.520030 | − | 0.854148i | \(-0.325921\pi\) |
−0.0243096 | + | 0.999704i | \(0.507739\pi\) | |||||||
\(312\) | 1.99457 | − | 5.34764i | 0.112920 | − | 0.302750i | ||||
\(313\) | −8.58334 | + | 6.42540i | −0.485159 | + | 0.363185i | −0.813682 | − | 0.581311i | \(-0.802540\pi\) |
0.328523 | + | 0.944496i | \(0.393449\pi\) | |||||||
\(314\) | −14.2434 | + | 16.4378i | −0.803801 | + | 0.927636i | ||||
\(315\) | −0.406503 | + | 2.84379i | −0.0229038 | + | 0.160229i | ||||
\(316\) | 7.22219 | − | 11.2379i | 0.406280 | − | 0.632184i | ||||
\(317\) | −7.89057 | + | 10.5406i | −0.443179 | + | 0.592017i | −0.965394 | − | 0.260796i | \(-0.916015\pi\) |
0.522215 | + | 0.852814i | \(0.325106\pi\) | |||||||
\(318\) | 12.2884 | + | 2.67318i | 0.689100 | + | 0.149905i | ||||
\(319\) | −0.0374701 | − | 0.0432428i | −0.00209792 | − | 0.00242113i | ||||
\(320\) | 2.18535 | + | 0.473524i | 0.122165 | + | 0.0264708i | ||||
\(321\) | 13.5263i | 0.754962i | ||||||||
\(322\) | −5.39052 | − | 2.98383i | −0.300402 | − | 0.166283i | ||||
\(323\) | 7.85772 | − | 7.85772i | 0.437215 | − | 0.437215i | ||||
\(324\) | 0.281733 | + | 0.959493i | 0.0156518 | + | 0.0533052i | ||||
\(325\) | 13.7175 | + | 25.0244i | 0.760910 | + | 1.38810i | ||||
\(326\) | −2.82009 | + | 1.81236i | −0.156190 | + | 0.100377i | ||||
\(327\) | −13.4118 | − | 10.0399i | −0.741674 | − | 0.555210i | ||||
\(328\) | −4.36798 | + | 0.950196i | −0.241181 | + | 0.0524658i | ||||
\(329\) | 0.326768 | − | 0.715522i | 0.0180153 | − | 0.0394480i | ||||
\(330\) | 0.0173201 | − | 0.00647619i | 0.000953440 | − | 0.000356503i | ||||
\(331\) | −4.89025 | + | 34.0124i | −0.268792 | + | 1.86949i | 0.191175 | + | 0.981556i | \(0.438770\pi\) |
−0.459968 | + | 0.887936i | \(0.652139\pi\) | |||||||
\(332\) | −2.96991 | − | 1.10772i | −0.162995 | − | 0.0607940i | ||||
\(333\) | −1.19988 | − | 2.19741i | −0.0657528 | − | 0.120417i | ||||
\(334\) | −0.762588 | + | 2.59714i | −0.0417270 | + | 0.142109i | ||||
\(335\) | −8.37922 | + | 7.27264i | −0.457806 | + | 0.397347i | ||||
\(336\) | −1.27163 | − | 0.182833i | −0.0693733 | − | 0.00997437i | ||||
\(337\) | 1.73694 | + | 24.2856i | 0.0946172 | + | 1.32292i | 0.793888 | + | 0.608064i | \(0.208054\pi\) |
−0.699271 | + | 0.714857i | \(0.746492\pi\) | |||||||
\(338\) | 6.84094 | + | 18.3413i | 0.372098 | + | 0.997634i | ||||
\(339\) | 11.7559 | + | 7.55507i | 0.638494 | + | 0.410335i | ||||
\(340\) | −1.68532 | − | 3.68236i | −0.0913992 | − | 0.199704i | ||||
\(341\) | −0.00822084 | − | 0.0127919i | −0.000445183 | − | 0.000692719i | ||||
\(342\) | 6.12020 | + | 0.437725i | 0.330942 | + | 0.0236695i | ||||
\(343\) | −13.9249 | − | 7.60355i | −0.751872 | − | 0.410553i | ||||
\(344\) | −6.32919 | −0.341247 | ||||||||
\(345\) | 7.62021 | − | 7.54536i | 0.410258 | − | 0.406228i | ||||
\(346\) | −14.0782 | −0.756849 | ||||||||
\(347\) | 10.1267 | + | 5.52961i | 0.543631 | + | 0.296845i | 0.727502 | − | 0.686106i | \(-0.240681\pi\) |
−0.183871 | + | 0.982950i | \(0.558863\pi\) | |||||||
\(348\) | −6.90155 | − | 0.493609i | −0.369962 | − | 0.0264602i | ||||
\(349\) | −0.331551 | − | 0.515903i | −0.0177475 | − | 0.0276157i | 0.832266 | − | 0.554376i | \(-0.187043\pi\) |
−0.850014 | + | 0.526760i | \(0.823407\pi\) | |||||||
\(350\) | 4.84771 | − | 4.21446i | 0.259121 | − | 0.225272i | ||||
\(351\) | −4.80145 | − | 3.08571i | −0.256283 | − | 0.164703i | ||||
\(352\) | 0.00288991 | + | 0.00774814i | 0.000154033 | + | 0.000412977i | ||||
\(353\) | 0.515124 | + | 7.20238i | 0.0274173 | + | 0.383344i | 0.992572 | + | 0.121662i | \(0.0388225\pi\) |
−0.965154 | + | 0.261682i | \(0.915723\pi\) | |||||||
\(354\) | 4.34283 | + | 0.624405i | 0.230819 | + | 0.0331868i | ||||
\(355\) | −32.2167 | − | 2.27771i | −1.70989 | − | 0.120889i | ||||
\(356\) | 0.533527 | − | 1.81703i | 0.0282769 | − | 0.0963023i | ||||
\(357\) | 1.11508 | + | 2.04211i | 0.0590161 | + | 0.108080i | ||||
\(358\) | −23.7520 | − | 8.85902i | −1.25533 | − | 0.468214i | ||||
\(359\) | 4.25547 | − | 29.5974i | 0.224595 | − | 1.56209i | −0.495744 | − | 0.868469i | \(-0.665104\pi\) |
0.720338 | − | 0.693623i | \(-0.243987\pi\) | |||||||
\(360\) | 0.927233 | − | 2.03476i | 0.0488695 | − | 0.107241i | ||||
\(361\) | 7.74684 | − | 16.9632i | 0.407729 | − | 0.892801i | ||||
\(362\) | 5.97442 | − | 1.29966i | 0.314009 | − | 0.0683084i | ||||
\(363\) | −8.80590 | − | 6.59201i | −0.462190 | − | 0.345991i | ||||
\(364\) | 6.16847 | − | 3.96424i | 0.323316 | − | 0.207782i | ||||
\(365\) | 16.0700 | − | 25.0504i | 0.841142 | − | 1.31120i | ||||
\(366\) | −0.435094 | − | 1.48179i | −0.0227427 | − | 0.0774546i | ||||
\(367\) | −17.5440 | + | 17.5440i | −0.915792 | + | 0.915792i | −0.996720 | − | 0.0809284i | \(-0.974211\pi\) |
0.0809284 | + | 0.996720i | \(0.474211\pi\) | |||||||
\(368\) | 3.37160 | + | 3.41062i | 0.175757 | + | 0.177791i | ||||
\(369\) | 4.47013i | 0.232706i | ||||||||
\(370\) | −1.18554 | + | 5.47138i | −0.0616334 | + | 0.284444i | ||||
\(371\) | 10.5801 | + | 12.2101i | 0.549291 | + | 0.633916i | ||||
\(372\) | −1.79674 | − | 0.390857i | −0.0931567 | − | 0.0202650i | ||||
\(373\) | 12.6934 | − | 16.9564i | 0.657239 | − | 0.877969i | −0.340827 | − | 0.940126i | \(-0.610707\pi\) |
0.998066 | + | 0.0621569i | \(0.0197979\pi\) | |||||||
\(374\) | 0.00809708 | − | 0.0125993i | 0.000418690 | − | 0.000651495i | ||||
\(375\) | 4.66941 | + | 10.1586i | 0.241127 | + | 0.524586i | ||||
\(376\) | −0.400960 | + | 0.462733i | −0.0206780 | + | 0.0238636i | ||||
\(377\) | 31.6143 | − | 23.6662i | 1.62822 | − | 1.21887i | ||||
\(378\) | −0.448960 | + | 1.20371i | −0.0230920 | + | 0.0619121i | ||||
\(379\) | 11.4920 | + | 3.37437i | 0.590307 | + | 0.173330i | 0.563225 | − | 0.826304i | \(-0.309560\pi\) |
0.0270816 | + | 0.999633i | \(0.491379\pi\) | |||||||
\(380\) | −9.70953 | − | 9.69367i | −0.498088 | − | 0.497275i | ||||
\(381\) | 2.10691 | + | 4.61350i | 0.107940 | + | 0.236357i | ||||
\(382\) | 1.23596 | + | 1.65105i | 0.0632373 | + | 0.0844751i | ||||
\(383\) | 24.2304 | − | 1.73300i | 1.23812 | − | 0.0885520i | 0.563122 | − | 0.826374i | \(-0.309600\pi\) |
0.674996 | + | 0.737822i | \(0.264145\pi\) | |||||||
\(384\) | 0.909632 | + | 0.415415i | 0.0464195 | + | 0.0211991i | ||||
\(385\) | 0.0227991 | + | 0.00667417i | 0.00116195 | + | 0.000340147i | ||||
\(386\) | 0.910897 | + | 6.33542i | 0.0463634 | + | 0.322465i | ||||
\(387\) | −1.34537 | + | 6.18455i | −0.0683888 | + | 0.314378i | ||||
\(388\) | 0.372753 | − | 5.21177i | 0.0189237 | − | 0.264587i | ||||
\(389\) | −1.54275 | + | 0.452993i | −0.0782206 | + | 0.0229676i | −0.320609 | − | 0.947212i | \(-0.603887\pi\) |
0.242388 | + | 0.970179i | \(0.422069\pi\) | |||||||
\(390\) | 3.60558 | + | 12.2424i | 0.182576 | + | 0.619920i | ||||
\(391\) | 1.28554 | − | 8.58999i | 0.0650124 | − | 0.434414i | ||||
\(392\) | 3.78268 | + | 3.78268i | 0.191054 | + | 0.191054i | ||||
\(393\) | 5.52444 | − | 10.1172i | 0.278671 | − | 0.510348i | ||||
\(394\) | −10.9870 | + | 9.52027i | −0.553516 | + | 0.479624i | ||||
\(395\) | 2.15531 | + | 29.7928i | 0.108445 | + | 1.49904i | ||||
\(396\) | 0.00818537 | − | 0.00117688i | 0.000411330 | − | 5.91404e-5i | ||||
\(397\) | 5.84838 | + | 26.8846i | 0.293522 | + | 1.34930i | 0.853631 | + | 0.520879i | \(0.174396\pi\) |
−0.560109 | + | 0.828419i | \(0.689241\pi\) | |||||||
\(398\) | 10.9983 | − | 4.10215i | 0.551295 | − | 0.205622i | ||||
\(399\) | 5.95739 | + | 5.16211i | 0.298243 | + | 0.258429i | ||||
\(400\) | −4.54476 | + | 2.08451i | −0.227238 | + | 0.104225i | ||||
\(401\) | 12.8502 | − | 5.86850i | 0.641709 | − | 0.293059i | −0.0678596 | − | 0.997695i | \(-0.521617\pi\) |
0.709569 | + | 0.704636i | \(0.248890\pi\) | |||||||
\(402\) | −4.35496 | + | 2.37799i | −0.217206 | + | 0.118603i | ||||
\(403\) | 9.21100 | − | 5.02959i | 0.458833 | − | 0.250542i | ||||
\(404\) | −2.45296 | + | 1.12023i | −0.122039 | + | 0.0557335i | ||||
\(405\) | −1.79116 | − | 1.33856i | −0.0890034 | − | 0.0665137i | ||||
\(406\) | −6.71796 | − | 5.82115i | −0.333407 | − | 0.288899i | ||||
\(407\) | −0.0193987 | + | 0.00723534i | −0.000961558 | + | 0.000358643i | ||||
\(408\) | −0.384973 | − | 1.76969i | −0.0190590 | − | 0.0876129i | ||||
\(409\) | −19.6906 | + | 2.83108i | −0.973636 | + | 0.139988i | −0.610731 | − | 0.791838i | \(-0.709124\pi\) |
−0.362905 | + | 0.931826i | \(0.618215\pi\) | |||||||
\(410\) | 6.53950 | − | 7.55946i | 0.322963 | − | 0.373335i | ||||
\(411\) | −11.2267 | + | 9.72802i | −0.553774 | + | 0.479848i | ||||
\(412\) | −3.48788 | + | 6.38757i | −0.171835 | + | 0.314693i | ||||
\(413\) | 3.98572 | + | 3.98572i | 0.196124 | + | 0.196124i | ||||
\(414\) | 4.04936 | − | 2.56957i | 0.199015 | − | 0.126287i | ||||
\(415\) | 6.79907 | − | 2.00243i | 0.333753 | − | 0.0982952i | ||||
\(416\) | −5.47630 | + | 1.60799i | −0.268498 | + | 0.0788381i | ||||
\(417\) | −0.926713 | + | 12.9571i | −0.0453813 | + | 0.634514i | ||||
\(418\) | 0.0107857 | − | 0.0495809i | 0.000527545 | − | 0.00242508i | ||||
\(419\) | 2.00492 | + | 13.9445i | 0.0979466 | + | 0.681234i | 0.978342 | + | 0.206994i | \(0.0663680\pi\) |
−0.880396 | + | 0.474240i | \(0.842723\pi\) | |||||||
\(420\) | 2.52018 | − | 1.37880i | 0.122972 | − | 0.0672785i | ||||
\(421\) | −32.3308 | − | 14.7650i | −1.57571 | − | 0.719600i | −0.580215 | − | 0.814464i | \(-0.697031\pi\) |
−0.995490 | + | 0.0948631i | \(0.969759\pi\) | |||||||
\(422\) | 16.9573 | − | 1.21281i | 0.825467 | − | 0.0590386i | ||||
\(423\) | 0.366928 | + | 0.490158i | 0.0178406 | + | 0.0238323i | ||||
\(424\) | −5.22418 | − | 11.4394i | −0.253709 | − | 0.555544i | ||||
\(425\) | 7.95483 | + | 4.32680i | 0.385866 | + | 0.209880i | ||||
\(426\) | −13.8586 | − | 4.06927i | −0.671454 | − | 0.197157i | ||||
\(427\) | 0.693351 | − | 1.85895i | 0.0335536 | − | 0.0899608i | ||||
\(428\) | 10.8283 | − | 8.10598i | 0.523407 | − | 0.391817i | ||||
\(429\) | −0.0309084 | + | 0.0356702i | −0.00149227 | + | 0.00172217i | ||||
\(430\) | 11.3227 | − | 8.49054i | 0.546030 | − | 0.409450i | ||||
\(431\) | 5.17177 | − | 8.04744i | 0.249116 | − | 0.387631i | −0.694065 | − | 0.719913i | \(-0.744182\pi\) |
0.943180 | + | 0.332281i | \(0.107818\pi\) | |||||||
\(432\) | 0.599278 | − | 0.800541i | 0.0288328 | − | 0.0385161i | ||||
\(433\) | −3.31868 | − | 0.721934i | −0.159485 | − | 0.0346939i | 0.132114 | − | 0.991235i | \(-0.457824\pi\) |
−0.291599 | + | 0.956541i | \(0.594187\pi\) | |||||||
\(434\) | −1.54696 | − | 1.78529i | −0.0742565 | − | 0.0856966i | ||||
\(435\) | 13.0088 | − | 8.37530i | 0.623725 | − | 0.401565i | ||||
\(436\) | 16.7534i | 0.802342i | ||||||||
\(437\) | −6.08951 | − | 28.7894i | −0.291301 | − | 1.37719i | ||||
\(438\) | 9.41152 | − | 9.41152i | 0.449700 | − | 0.449700i | ||||
\(439\) | −3.30043 | − | 11.2402i | −0.157521 | − | 0.536466i | 0.842477 | − | 0.538733i | \(-0.181097\pi\) |
−0.999997 | + | 0.00226649i | \(0.999279\pi\) | |||||||
\(440\) | −0.0155640 | − | 0.00998441i | −0.000741985 | − | 0.000475988i | ||||
\(441\) | 4.50030 | − | 2.89217i | 0.214300 | − | 0.137722i | ||||
\(442\) | 8.27499 | + | 6.19458i | 0.393601 | + | 0.294646i | ||||
\(443\) | −29.2673 | + | 6.36671i | −1.39053 | + | 0.302492i | −0.844627 | − | 0.535356i | \(-0.820178\pi\) |
−0.545905 | + | 0.837847i | \(0.683814\pi\) | |||||||
\(444\) | −1.04006 | + | 2.27741i | −0.0493589 | + | 0.108081i | ||||
\(445\) | 1.48306 | + | 3.96633i | 0.0703037 | + | 0.188022i | ||||
\(446\) | 1.85770 | − | 12.9206i | 0.0879644 | − | 0.611806i | ||||
\(447\) | −3.03528 | − | 1.13210i | −0.143564 | − | 0.0535466i | ||||
\(448\) | 0.615696 | + | 1.12756i | 0.0290889 | + | 0.0532723i | ||||
\(449\) | 5.73362 | − | 19.5269i | 0.270586 | − | 0.921532i | −0.706325 | − | 0.707888i | \(-0.749648\pi\) |
0.976911 | − | 0.213645i | \(-0.0685335\pi\) | |||||||
\(450\) | 1.07081 | + | 4.88399i | 0.0504786 | + | 0.230233i | ||||
\(451\) | 0.0365897 | + | 0.00526081i | 0.00172294 | + | 0.000247722i | ||||
\(452\) | −0.996914 | − | 13.9387i | −0.0468909 | − | 0.655621i | ||||
\(453\) | 1.52397 | + | 4.08591i | 0.0716022 | + | 0.191973i | ||||
\(454\) | −17.5330 | − | 11.2678i | −0.822865 | − | 0.528823i | ||||
\(455\) | −5.71722 | + | 15.3668i | −0.268028 | + | 0.720408i | ||||
\(456\) | −3.31728 | − | 5.16179i | −0.155346 | − | 0.241723i | ||||
\(457\) | −2.46422 | − | 0.176244i | −0.115271 | − | 0.00824436i | 0.0135844 | − | 0.999908i | \(-0.495676\pi\) |
−0.128856 | + | 0.991663i | \(0.541130\pi\) | |||||||
\(458\) | 0.891962 | + | 0.487048i | 0.0416786 | + | 0.0227583i | ||||
\(459\) | −1.81108 | −0.0845341 | ||||||||
\(460\) | −10.6070 | − | 1.57853i | −0.494553 | − | 0.0735992i | ||||
\(461\) | −7.14319 | −0.332692 | −0.166346 | − | 0.986067i | \(-0.553197\pi\) | ||||
−0.166346 | + | 0.986067i | \(0.553197\pi\) | |||||||
\(462\) | 0.00932443 | + | 0.00509152i | 0.000433812 | + | 0.000236879i | ||||
\(463\) | 31.4308 | + | 2.24797i | 1.46071 | + | 0.104472i | 0.778943 | − | 0.627095i | \(-0.215756\pi\) |
0.681770 | + | 0.731567i | \(0.261211\pi\) | |||||||
\(464\) | 3.74079 | + | 5.82078i | 0.173662 | + | 0.270223i | ||||
\(465\) | 3.73864 | − | 1.71108i | 0.173375 | − | 0.0793493i | ||||
\(466\) | 10.3259 | + | 6.63607i | 0.478339 | + | 0.307410i | ||||
\(467\) | 6.37265 | + | 17.0857i | 0.294891 | + | 0.790634i | 0.996916 | + | 0.0784810i | \(0.0250070\pi\) |
−0.702024 | + | 0.712153i | \(0.747720\pi\) | |||||||
\(468\) | 0.407168 | + | 5.69295i | 0.0188214 | + | 0.263157i | ||||
\(469\) | −6.30973 | − | 0.907202i | −0.291356 | − | 0.0418907i | ||||
\(470\) | 0.0965545 | − | 1.36570i | 0.00445373 | − | 0.0629950i | ||||
\(471\) | 6.12776 | − | 20.8692i | 0.282352 | − | 0.961603i | ||||
\(472\) | −2.10270 | − | 3.85081i | −0.0967847 | − | 0.177248i | ||||
\(473\) | 0.0490395 | + | 0.0182908i | 0.00225484 | + | 0.000841011i | ||||
\(474\) | −1.90112 | + | 13.2226i | −0.0873214 | + | 0.607334i | ||||
\(475\) | 30.3740 | + | 4.31644i | 1.39365 | + | 0.198052i | ||||
\(476\) | 0.966552 | − | 2.11645i | 0.0443019 | − | 0.0970075i | ||||
\(477\) | −12.2884 | + | 2.67318i | −0.562648 | + | 0.122397i | ||||
\(478\) | −3.83036 | − | 2.86737i | −0.175197 | − | 0.131151i | ||||
\(479\) | 6.05871 | − | 3.89370i | 0.276830 | − | 0.177908i | −0.394858 | − | 0.918742i | \(-0.629206\pi\) |
0.671687 | + | 0.740835i | \(0.265570\pi\) | |||||||
\(480\) | −2.18458 | + | 0.477097i | −0.0997119 | + | 0.0217764i | ||||
\(481\) | −4.02585 | − | 13.7108i | −0.183563 | − | 0.625158i | ||||
\(482\) | −4.23585 | + | 4.23585i | −0.192938 | + | 0.192938i | ||||
\(483\) | 6.14292 | + | 0.474887i | 0.279513 | + | 0.0216081i | ||||
\(484\) | 10.9999i | 0.499997i | ||||||||
\(485\) | 6.32468 | + | 9.82373i | 0.287189 | + | 0.446073i | ||||
\(486\) | −0.654861 | − | 0.755750i | −0.0297051 | − | 0.0342815i | ||||
\(487\) | −19.1047 | − | 4.15597i | −0.865717 | − | 0.188325i | −0.242287 | − | 0.970205i | \(-0.577898\pi\) |
−0.623430 | + | 0.781879i | \(0.714261\pi\) | |||||||
\(488\) | −0.925495 | + | 1.23632i | −0.0418952 | + | 0.0559654i | ||||
\(489\) | 1.81236 | − | 2.82009i | 0.0819578 | − | 0.127529i | ||||
\(490\) | −11.8415 | − | 1.69267i | −0.534946 | − | 0.0764672i | ||||
\(491\) | −6.12896 | + | 7.07320i | −0.276596 | + | 0.319209i | −0.877002 | − | 0.480486i | \(-0.840460\pi\) |
0.600406 | + | 0.799695i | \(0.295006\pi\) | |||||||
\(492\) | 3.57853 | − | 2.67885i | 0.161332 | − | 0.120772i | ||||
\(493\) | 4.37921 | − | 11.7411i | 0.197230 | − | 0.528793i | ||||
\(494\) | 33.6017 | + | 9.86634i | 1.51181 | + | 0.443908i | ||||
\(495\) | −0.0130646 | + | 0.0130860i | −0.000587210 | + | 0.000588171i | ||||
\(496\) | 0.763850 | + | 1.67260i | 0.0342979 | + | 0.0751018i | ||||
\(497\) | −11.1202 | − | 14.8548i | −0.498809 | − | 0.666330i | ||||
\(498\) | 3.16169 | − | 0.226128i | 0.141679 | − | 0.0101331i | ||||
\(499\) | −2.42276 | − | 1.10644i | −0.108457 | − | 0.0495309i | 0.360447 | − | 0.932780i | \(-0.382624\pi\) |
−0.468905 | + | 0.883249i | \(0.655351\pi\) | |||||||
\(500\) | 5.33408 | − | 9.82586i | 0.238547 | − | 0.439426i | ||||
\(501\) | −0.385215 | − | 2.67923i | −0.0172101 | − | 0.119699i | ||||
\(502\) | −5.59186 | + | 25.7054i | −0.249577 | + | 1.14729i | ||||
\(503\) | −1.79423 | + | 25.0866i | −0.0800006 | + | 1.11855i | 0.785905 | + | 0.618347i | \(0.212197\pi\) |
−0.865906 | + | 0.500207i | \(0.833257\pi\) | |||||||
\(504\) | 1.23267 | − | 0.361945i | 0.0549075 | − | 0.0161223i | ||||
\(505\) | 2.88549 | − | 5.29467i | 0.128403 | − | 0.235610i | ||||
\(506\) | −0.0162673 | − | 0.0361696i | −0.000723168 | − | 0.00160793i | ||||
\(507\) | −13.8420 | − | 13.8420i | −0.614744 | − | 0.614744i | ||||
\(508\) | 2.43067 | − | 4.45144i | 0.107843 | − | 0.197501i | ||||
\(509\) | 17.2204 | − | 14.9215i | 0.763280 | − | 0.661386i | −0.183590 | − | 0.983003i | \(-0.558772\pi\) |
0.946870 | + | 0.321617i | \(0.104226\pi\) | |||||||
\(510\) | 3.06273 | + | 2.64949i | 0.135620 | + | 0.117321i | ||||
\(511\) | 16.9253 | − | 2.43349i | 0.748731 | − | 0.107651i | ||||
\(512\) | −0.212565 | − | 0.977147i | −0.00939415 | − | 0.0431842i | ||||
\(513\) | −5.74897 | + | 2.14425i | −0.253823 | + | 0.0946711i | ||||
\(514\) | 21.4584 | + | 18.5938i | 0.946491 | + | 0.820139i | ||||
\(515\) | −2.32915 | − | 16.1061i | −0.102635 | − | 0.709720i | ||||
\(516\) | 5.75724 | − | 2.62924i | 0.253448 | − | 0.115746i | ||||
\(517\) | 0.00444396 | − | 0.00242658i | 0.000195445 | − | 0.000106721i | ||||
\(518\) | −2.82303 | + | 1.54149i | −0.124037 | + | 0.0677293i | ||||
\(519\) | 12.8060 | − | 5.84830i | 0.562121 | − | 0.256712i | ||||
\(520\) | 7.63984 | − | 10.2230i | 0.335029 | − | 0.448310i | ||||
\(521\) | 23.9723 | + | 20.7721i | 1.05025 | + | 0.910043i | 0.996077 | − | 0.0884888i | \(-0.0282037\pi\) |
0.0541685 | + | 0.998532i | \(0.482749\pi\) | |||||||
\(522\) | 6.48292 | − | 2.41801i | 0.283750 | − | 0.105833i | ||||
\(523\) | 2.51334 | + | 11.5536i | 0.109900 | + | 0.505204i | 0.998883 | + | 0.0472622i | \(0.0150496\pi\) |
−0.888982 | + | 0.457942i | \(0.848587\pi\) | |||||||
\(524\) | −11.4099 | + | 1.64050i | −0.498446 | + | 0.0716657i | ||||
\(525\) | −2.65888 | + | 5.84742i | −0.116043 | + | 0.255202i | ||||
\(526\) | 13.0291 | − | 11.2897i | 0.568094 | − | 0.492256i | ||||
\(527\) | 1.59597 | − | 2.92280i | 0.0695216 | − | 0.127319i | ||||
\(528\) | −0.00584745 | − | 0.00584745i | −0.000254478 | − | 0.000254478i | ||||
\(529\) | −17.2078 | − | 15.2608i | −0.748165 | − | 0.663513i | ||||
\(530\) | 24.6917 | + | 13.4565i | 1.07254 | + | 0.584512i | ||||
\(531\) | −4.20977 | + | 1.23610i | −0.182688 | + | 0.0536421i | ||||
\(532\) | 0.562350 | − | 7.86268i | 0.0243810 | − | 0.340890i | ||||
\(533\) | −5.42324 | + | 24.9302i | −0.234906 | + | 1.07985i | ||||
\(534\) | 0.269507 | + | 1.87446i | 0.0116627 | + | 0.0811159i | ||||
\(535\) | −8.49745 | + | 29.0274i | −0.367377 | + | 1.25496i | ||||
\(536\) | 4.51351 | + | 2.06125i | 0.194954 | + | 0.0890325i | ||||
\(537\) | 25.2857 | − | 1.80847i | 1.09116 | − | 0.0780412i | ||||
\(538\) | 0.473796 | + | 0.632917i | 0.0204268 | + | 0.0272870i | ||||
\(539\) | −0.0183772 | − | 0.0402404i | −0.000791561 | − | 0.00173328i | ||||
\(540\) | 0.00182805 | + | 2.23607i | 7.86667e−5 | + | 0.0962250i | ||||
\(541\) | −16.6280 | − | 4.88243i | −0.714894 | − | 0.209912i | −0.0959945 | − | 0.995382i | \(-0.530603\pi\) |
−0.618900 | + | 0.785470i | \(0.712421\pi\) | |||||||
\(542\) | 5.78654 | − | 15.5143i | 0.248553 | − | 0.666396i | ||||
\(543\) | −4.89463 | + | 3.66407i | −0.210049 | + | 0.157241i | ||||
\(544\) | −1.18601 | + | 1.36872i | −0.0508496 | + | 0.0586836i | ||||
\(545\) | −22.4745 | − | 29.9713i | −0.962702 | − | 1.28383i | ||||
\(546\) | −3.96424 | + | 6.16847i | −0.169654 | + | 0.263986i | ||||
\(547\) | 10.3626 | − | 13.8429i | 0.443074 | − | 0.591878i | −0.522295 | − | 0.852765i | \(-0.674924\pi\) |
0.965369 | + | 0.260887i | \(0.0840149\pi\) | |||||||
\(548\) | 14.5156 | + | 3.15768i | 0.620076 | + | 0.134889i | ||||
\(549\) | 1.01133 | + | 1.16714i | 0.0431627 | + | 0.0498124i | ||||
\(550\) | 0.0412375 | − | 0.00301714i | 0.00175837 | − | 0.000128651i | ||||
\(551\) | − | 42.4549i | − | 1.80864i | ||||||
\(552\) | −4.48374 | − | 1.70179i | −0.190841 | − | 0.0724332i | ||||
\(553\) | −12.1353 | + | 12.1353i | −0.516045 | + | 0.516045i | ||||
\(554\) | −3.20712 | − | 10.9224i | −0.136257 | − | 0.464050i | ||||
\(555\) | −1.19449 | − | 5.46943i | −0.0507031 | − | 0.232165i | ||||
\(556\) | 10.9281 | − | 7.02305i | 0.463454 | − | 0.297844i | ||||
\(557\) | −6.07087 | − | 4.54459i | −0.257231 | − | 0.192561i | 0.462877 | − | 0.886422i | \(-0.346817\pi\) |
−0.720108 | + | 0.693862i | \(0.755908\pi\) | |||||||
\(558\) | 1.79674 | − | 0.390857i | 0.0760621 | − | 0.0165463i | ||||
\(559\) | −15.0064 | + | 32.8594i | −0.634702 | + | 1.38980i | ||||
\(560\) | −2.61407 | − | 1.19123i | −0.110465 | − | 0.0503385i | ||||
\(561\) | −0.00213142 | + | 0.0148244i | −8.99888e−5 | + | 0.000625886i | ||||
\(562\) | −24.1359 | − | 9.00222i | −1.01811 | − | 0.379736i | ||||
\(563\) | 7.48755 | + | 13.7124i | 0.315563 | + | 0.577910i | 0.986531 | − | 0.163576i | \(-0.0523030\pi\) |
−0.670968 | + | 0.741486i | \(0.734121\pi\) | |||||||
\(564\) | 0.172500 | − | 0.587482i | 0.00726357 | − | 0.0247374i | ||||
\(565\) | 20.4820 | + | 23.5985i | 0.861686 | + | 0.992797i | ||||
\(566\) | −4.94270 | − | 0.710653i | −0.207757 | − | 0.0298710i | ||||
\(567\) | −0.0916501 | − | 1.28144i | −0.00384894 | − | 0.0538153i | ||||
\(568\) | 5.04756 | + | 13.5330i | 0.211791 | + | 0.567834i | ||||
\(569\) | 15.8222 | + | 10.1683i | 0.663303 | + | 0.426279i | 0.828506 | − | 0.559981i | \(-0.189191\pi\) |
−0.165203 | + | 0.986260i | \(0.552828\pi\) | |||||||
\(570\) | 12.8590 | + | 4.78419i | 0.538604 | + | 0.200388i | ||||
\(571\) | −11.4768 | − | 17.8583i | −0.480290 | − | 0.747346i | 0.513563 | − | 0.858052i | \(-0.328325\pi\) |
−0.993853 | + | 0.110706i | \(0.964689\pi\) | |||||||
\(572\) | 0.0470781 | + | 0.00336709i | 0.00196843 | + | 0.000140785i | ||||
\(573\) | −1.81014 | − | 0.988412i | −0.0756197 | − | 0.0412915i | ||||
\(574\) | 5.74283 | 0.239701 | ||||||||
\(575\) | 21.0931 | − | 11.4052i | 0.879645 | − | 0.475631i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −33.3676 | − | 18.2201i | −1.38911 | − | 0.758512i | −0.401564 | − | 0.915831i | \(-0.631533\pi\) |
−0.987548 | + | 0.157319i | \(0.949715\pi\) | |||||||
\(578\) | −13.6850 | − | 0.978772i | −0.569222 | − | 0.0407116i | ||||
\(579\) | −3.46041 | − | 5.38450i | −0.143810 | − | 0.223772i | ||||
\(580\) | −14.5007 | − | 5.39497i | −0.602108 | − | 0.224014i | ||||
\(581\) | 3.42578 | + | 2.20161i | 0.142125 | + | 0.0913383i | ||||
\(582\) | 1.82598 | + | 4.89564i | 0.0756892 | + | 0.202931i | ||||
\(583\) | 0.00741900 | + | 0.103731i | 0.000307264 | + | 0.00429611i | ||||
\(584\) | −13.1744 | − | 1.89420i | −0.545161 | − | 0.0783824i | ||||
\(585\) | −8.36544 | − | 9.63830i | −0.345869 | − | 0.398495i | ||||
\(586\) | −4.75578 | + | 16.1967i | −0.196459 | + | 0.669079i | ||||
\(587\) | −13.3592 | − | 24.4655i | −0.551392 | − | 1.00980i | −0.993608 | − | 0.112890i | \(-0.963989\pi\) |
0.442216 | − | 0.896909i | \(-0.354193\pi\) | |||||||
\(588\) | −5.01223 | − | 1.86947i | −0.206701 | − | 0.0770955i | ||||
\(589\) | 1.60564 | − | 11.1675i | 0.0661594 | − | 0.460149i | ||||
\(590\) | 8.92748 | + | 4.06823i | 0.367539 | + | 0.167486i | ||||
\(591\) | 6.03924 | − | 13.2241i | 0.248421 | − | 0.543966i | ||||
\(592\) | 2.44644 | − | 0.532191i | 0.100548 | − | 0.0218729i | ||||
\(593\) | −7.55903 | − | 5.65862i | −0.310412 | − | 0.232372i | 0.432701 | − | 0.901538i | \(-0.357561\pi\) |
−0.743113 | + | 0.669166i | \(0.766652\pi\) | |||||||
\(594\) | −0.00695678 | + | 0.00447085i | −0.000285440 | + | 0.000183441i | ||||
\(595\) | 1.11007 | + | 5.08289i | 0.0455083 | + | 0.208378i | ||||
\(596\) | 0.912683 | + | 3.10831i | 0.0373850 | + | 0.127321i | ||||
\(597\) | −8.30031 | + | 8.30031i | −0.339709 | + | 0.339709i | ||||
\(598\) | 25.7010 | − | 9.41790i | 1.05099 | − | 0.385126i | ||||
\(599\) | 24.5789i | 1.00427i | 0.864790 | + | 0.502134i | \(0.167452\pi\) | ||||
−0.864790 | + | 0.502134i | \(0.832548\pi\) | |||||||
\(600\) | 3.26812 | − | 3.78410i | 0.133420 | − | 0.154485i | ||||
\(601\) | −22.7364 | − | 26.2392i | −0.927437 | − | 1.07032i | −0.997349 | − | 0.0727664i | \(-0.976817\pi\) |
0.0699119 | − | 0.997553i | \(-0.477728\pi\) | |||||||
\(602\) | 7.94535 | + | 1.72841i | 0.323828 | + | 0.0704445i | ||||
\(603\) | 2.97356 | − | 3.97221i | 0.121093 | − | 0.161761i | ||||
\(604\) | 2.35766 | − | 3.66859i | 0.0959319 | − | 0.149273i | ||||
\(605\) | −14.7563 | − | 19.6785i | −0.599928 | − | 0.800046i | ||||
\(606\) | 1.76593 | − | 2.03799i | 0.0717360 | − | 0.0827878i | ||||
\(607\) | 6.48163 | − | 4.85209i | 0.263081 | − | 0.196940i | −0.459592 | − | 0.888130i | \(-0.652004\pi\) |
0.722673 | + | 0.691190i | \(0.242913\pi\) | |||||||
\(608\) | −2.14425 | + | 5.74897i | −0.0869610 | + | 0.233151i | ||||
\(609\) | 8.52906 | + | 2.50436i | 0.345615 | + | 0.101482i | ||||
\(610\) | −0.00282315 | − | 3.45327i | −0.000114306 | − | 0.139819i | ||||
\(611\) | 1.45171 | + | 3.17881i | 0.0587300 | + | 0.128601i | ||||
\(612\) | 1.08534 | + | 1.44985i | 0.0438723 | + | 0.0586066i | ||||
\(613\) | −44.3781 | + | 3.17399i | −1.79242 | + | 0.128196i | −0.927524 | − | 0.373763i | \(-0.878067\pi\) |
−0.864891 | + | 0.501959i | \(0.832613\pi\) | |||||||
\(614\) | −25.4052 | − | 11.6022i | −1.02527 | − | 0.468226i | ||||
\(615\) | −2.80822 | + | 9.59294i | −0.113238 | + | 0.386825i | ||||
\(616\) | −0.00151195 | − | 0.0105158i | −6.09181e−5 | − | 0.000423695i | ||||
\(617\) | 7.42937 | − | 34.1523i | 0.299095 | − | 1.37492i | −0.544870 | − | 0.838521i | \(-0.683421\pi\) |
0.843965 | − | 0.536398i | \(-0.180215\pi\) | |||||||
\(618\) | 0.519192 | − | 7.25926i | 0.0208850 | − | 0.292010i | ||||
\(619\) | −43.4470 | + | 12.7572i | −1.74628 | + | 0.512755i | −0.989948 | − | 0.141429i | \(-0.954830\pi\) |
−0.756336 | + | 0.654184i | \(0.773012\pi\) | |||||||
\(620\) | −3.61027 | − | 1.96753i | −0.144992 | − | 0.0790178i | ||||
\(621\) | −2.61599 | + | 4.01953i | −0.104976 | + | 0.161298i | ||||
\(622\) | 6.44259 | + | 6.44259i | 0.258324 | + | 0.258324i | ||||
\(623\) | −1.16597 | + | 2.13531i | −0.0467134 | + | 0.0855493i | ||||
\(624\) | 4.31344 | − | 3.73761i | 0.172676 | − | 0.149624i | ||||
\(625\) | 3.63877 | + | 24.7338i | 0.145551 | + | 0.989351i | ||||
\(626\) | −10.6128 | + | 1.52589i | −0.424172 | + | 0.0609867i | ||||
\(627\) | 0.0107857 | + | 0.0495809i | 0.000430738 | + | 0.00198007i | ||||
\(628\) | −20.3789 | + | 7.60094i | −0.813207 | + | 0.303311i | ||||
\(629\) | −3.42682 | − | 2.96936i | −0.136636 | − | 0.118396i | ||||
\(630\) | −1.71966 | + | 2.30112i | −0.0685130 | + | 0.0916788i | ||||
\(631\) | 0.688339 | − | 0.314354i | 0.0274023 | − | 0.0125142i | −0.401667 | − | 0.915786i | \(-0.631569\pi\) |
0.429069 | + | 0.903272i | \(0.358842\pi\) | |||||||
\(632\) | 11.7245 | − | 6.40208i | 0.466377 | − | 0.254661i | ||||
\(633\) | −14.9211 | + | 8.14752i | −0.593059 | + | 0.323835i | ||||
\(634\) | −11.9769 | + | 5.46969i | −0.475665 | + | 0.217229i | ||||
\(635\) | 1.62316 | + | 11.2242i | 0.0644132 | + | 0.445418i | ||||
\(636\) | 9.50416 | + | 8.23540i | 0.376865 | + | 0.326555i | ||||
\(637\) | 28.6073 | − | 10.6700i | 1.13346 | − | 0.422760i | ||||
\(638\) | −0.0121627 | − | 0.0559108i | −0.000481524 | − | 0.00221353i | ||||
\(639\) | 14.2967 | − | 2.05556i | 0.565569 | − | 0.0813165i | ||||
\(640\) | 1.69110 | + | 1.46293i | 0.0668468 | + | 0.0578274i | ||||
\(641\) | −22.9960 | + | 19.9262i | −0.908289 | + | 0.787037i | −0.977581 | − | 0.210560i | \(-0.932471\pi\) |
0.0692924 | + | 0.997596i | \(0.477926\pi\) | |||||||
\(642\) | −6.48244 | + | 11.8717i | −0.255842 | + | 0.468539i | ||||
\(643\) | −25.9937 | − | 25.9937i | −1.02509 | − | 1.02509i | −0.999677 | − | 0.0254147i | \(-0.991909\pi\) |
−0.0254147 | − | 0.999677i | \(-0.508091\pi\) | |||||||
\(644\) | −3.30115 | − | 5.20225i | −0.130084 | − | 0.204997i | ||||
\(645\) | −6.77242 | + | 12.4269i | −0.266664 | + | 0.489309i | ||||
\(646\) | 10.6624 | − | 3.13075i | 0.419505 | − | 0.123178i | ||||
\(647\) | 0.0758563 | − | 1.06061i | 0.00298222 | − | 0.0416969i | −0.995743 | − | 0.0921720i | \(-0.970619\pi\) |
0.998725 | + | 0.0504752i | \(0.0160736\pi\) | |||||||
\(648\) | −0.212565 | + | 0.977147i | −0.00835035 | + | 0.0383860i | ||||
\(649\) | 0.00516354 | + | 0.0359132i | 0.000202687 | + | 0.00140972i | ||||
\(650\) | 0.0466604 | + | 28.5374i | 0.00183017 | + | 1.11933i | ||||
\(651\) | 2.14880 | + | 0.981325i | 0.0842182 | + | 0.0384612i | ||||
\(652\) | −3.34371 | + | 0.239147i | −0.130950 | + | 0.00936570i | ||||
\(653\) | 12.1079 | + | 16.1743i | 0.473819 | + | 0.632948i | 0.972240 | − | 0.233988i | \(-0.0751775\pi\) |
−0.498421 | + | 0.866935i | \(0.666087\pi\) | |||||||
\(654\) | −6.95962 | − | 15.2394i | −0.272142 | − | 0.595909i | ||||
\(655\) | 18.2113 | − | 18.2411i | 0.711575 | − | 0.712739i | ||||
\(656\) | −4.28906 | − | 1.25938i | −0.167460 | − | 0.0491706i | ||||
\(657\) | −4.65133 | + | 12.4707i | −0.181466 | + | 0.486529i | ||||
\(658\) | 0.629711 | − | 0.471396i | 0.0245487 | − | 0.0183769i | ||||
\(659\) | −17.4624 | + | 20.1527i | −0.680239 | + | 0.785038i | −0.985942 | − | 0.167089i | \(-0.946563\pi\) |
0.305703 | + | 0.952127i | \(0.401109\pi\) | |||||||
\(660\) | 0.0183052 | + | 0.00261662i | 0.000712528 | + | 0.000101852i | ||||
\(661\) | −11.2251 | + | 17.4665i | −0.436604 | + | 0.679370i | −0.987927 | − | 0.154923i | \(-0.950487\pi\) |
0.551322 | + | 0.834292i | \(0.314123\pi\) | |||||||
\(662\) | −20.5925 | + | 27.5083i | −0.800350 | + | 1.06914i | ||||
\(663\) | −10.1005 | − | 2.19723i | −0.392272 | − | 0.0853335i | ||||
\(664\) | −2.07575 | − | 2.39555i | −0.0805549 | − | 0.0929653i | ||||
\(665\) | 9.54167 | + | 14.8205i | 0.370010 | + | 0.574713i | ||||
\(666\) | − | 2.50366i | − | 0.0970148i | ||||||
\(667\) | −19.7328 | − | 26.6785i | −0.764057 | − | 1.03300i | ||||
\(668\) | −1.91398 | + | 1.91398i | −0.0740542 | + | 0.0740542i | ||||
\(669\) | 3.67757 | + | 12.5247i | 0.142183 | + | 0.484231i | ||||
\(670\) | −10.8397 | + | 2.36731i | −0.418773 | + | 0.0914572i | ||||
\(671\) | 0.0107437 | − | 0.00690456i | 0.000414756 | − | 0.000266548i | ||||
\(672\) | −1.02846 | − | 0.769898i | −0.0396738 | − | 0.0296995i | ||||
\(673\) | −17.9320 | + | 3.90086i | −0.691227 | + | 0.150367i | −0.544438 | − | 0.838801i | \(-0.683257\pi\) |
−0.146788 | + | 0.989168i | \(0.546894\pi\) | |||||||
\(674\) | −10.1144 | + | 22.1474i | −0.389591 | + | 0.853086i | ||||
\(675\) | −3.00293 | − | 3.99780i | −0.115583 | − | 0.153875i | ||||
\(676\) | −2.78589 | + | 19.3763i | −0.107149 | + | 0.745241i | ||||
\(677\) | 11.2249 | + | 4.18668i | 0.431409 | + | 0.160907i | 0.555781 | − | 0.831328i | \(-0.312419\pi\) |
−0.124373 | + | 0.992236i | \(0.539692\pi\) | |||||||
\(678\) | 6.69716 | + | 12.2649i | 0.257203 | + | 0.471032i | ||||
\(679\) | −1.89119 | + | 6.44080i | −0.0725772 | + | 0.247175i | ||||
\(680\) | 0.285600 | − | 4.03962i | 0.0109523 | − | 0.154912i | ||||
\(681\) | 20.6294 | + | 2.96606i | 0.790520 | + | 0.113660i | ||||
\(682\) | −0.00108476 | − | 0.0151670i | −4.15378e−5 | − | 0.000580774i | ||||
\(683\) | 1.10159 | + | 2.95349i | 0.0421514 | + | 0.113012i | 0.956320 | − | 0.292322i | \(-0.0944279\pi\) |
−0.914169 | + | 0.405334i | \(0.867155\pi\) | |||||||
\(684\) | 5.16179 | + | 3.31728i | 0.197366 | + | 0.126839i | ||||
\(685\) | −30.2039 | + | 13.8235i | −1.15403 | + | 0.528170i | ||||
\(686\) | −8.57756 | − | 13.3469i | −0.327493 | − | 0.509589i | ||||
\(687\) | −1.01368 | − | 0.0725001i | −0.0386745 | − | 0.00276605i | ||||
\(688\) | −5.55500 | − | 3.03326i | −0.211782 | − | 0.115642i | ||||
\(689\) | −71.7764 | −2.73446 | ||||||||
\(690\) | 10.3042 | − | 2.97042i | 0.392274 | − | 0.113082i | ||||
\(691\) | −44.7995 | −1.70425 | −0.852126 | − | 0.523337i | \(-0.824687\pi\) | ||||
−0.852126 | + | 0.523337i | \(0.824687\pi\) | |||||||
\(692\) | −12.3561 | − | 6.74697i | −0.469710 | − | 0.256481i | ||||
\(693\) | −0.0105969 | 0.000757905i | −0.000402543 | 2.87904e-5i | ||||||
\(694\) | 6.23795 | + | 9.70644i | 0.236789 | + | 0.368451i | ||||
\(695\) | −10.1286 | + | 27.2239i | −0.384202 | + | 1.03266i | ||||
\(696\) | −5.82078 | − | 3.74079i | −0.220636 | − | 0.141794i | ||||
\(697\) | 2.82919 | + | 7.58534i | 0.107163 | + | 0.287315i | ||||
\(698\) | −0.0437491 | − | 0.611693i | −0.00165593 | − | 0.0231529i | ||||
\(699\) | −12.1495 | − | 1.74684i | −0.459537 | − | 0.0660714i | ||||
\(700\) | 6.27451 | − | 1.37568i | 0.237154 | − | 0.0519960i | ||||
\(701\) | 2.12892 | − | 7.25045i | 0.0804084 | − | 0.273846i | −0.909469 | − | 0.415772i | \(-0.863511\pi\) |
0.989877 | + | 0.141926i | \(0.0453296\pi\) | |||||||
\(702\) | −2.73531 | − | 5.00935i | −0.103238 | − | 0.189066i | ||||
\(703\) | −14.3934 | − | 5.36848i | −0.542859 | − | 0.202476i | ||||
\(704\) | −0.00117688 | + | 0.00818537i | −4.43553e−5 | + | 0.000308498i | ||||
\(705\) | 0.479503 | + | 1.28239i | 0.0180591 | + | 0.0482977i | ||||
\(706\) | −2.99962 | + | 6.56825i | −0.112892 | + | 0.247199i | ||||
\(707\) | 3.38524 | − | 0.736414i | 0.127315 | − | 0.0276957i | ||||
\(708\) | 3.51237 | + | 2.62933i | 0.132003 | + | 0.0988161i | ||||
\(709\) | 18.6039 | − | 11.9560i | 0.698685 | − | 0.449018i | −0.142479 | − | 0.989798i | \(-0.545507\pi\) |
0.841164 | + | 0.540780i | \(0.181871\pi\) | |||||||
\(710\) | −27.1843 | − | 17.4389i | −1.02021 | − | 0.654472i | ||||
\(711\) | −3.76354 | − | 12.8175i | −0.141144 | − | 0.480692i | ||||
\(712\) | 1.33907 | − | 1.33907i | 0.0501839 | − | 0.0501839i | ||||
\(713\) | −4.18161 | − | 7.76391i | −0.156603 | − | 0.290761i | ||||
\(714\) | 2.32672i | 0.0870751i | ||||||||
\(715\) | −0.0887382 | + | 0.0571311i | −0.00331862 | + | 0.00213658i | ||||
\(716\) | −16.6009 | − | 19.1585i | −0.620405 | − | 0.715986i | ||||
\(717\) | 4.67537 | + | 1.01706i | 0.174605 | + | 0.0379829i | ||||
\(718\) | 17.9195 | − | 23.9376i | 0.668748 | − | 0.893343i | ||||
\(719\) | −25.7252 | + | 40.0292i | −0.959389 | + | 1.49284i | −0.0916663 | + | 0.995790i | \(0.529219\pi\) |
−0.867723 | + | 0.497049i | \(0.834417\pi\) | |||||||
\(720\) | 1.78897 | − | 1.34149i | 0.0666709 | − | 0.0499943i | ||||
\(721\) | 6.12286 | − | 7.06615i | 0.228027 | − | 0.263157i | ||||
\(722\) | 14.9288 | − | 11.1756i | 0.555594 | − | 0.415913i | ||||
\(723\) | 2.09343 | − | 5.61270i | 0.0778555 | − | 0.208739i | ||||
\(724\) | 5.86649 | + | 1.72256i | 0.218026 | + | 0.0640183i | ||||
\(725\) | 33.1785 | − | 9.80105i | 1.23222 | − | 0.364002i | ||||
\(726\) | −4.56954 | − | 10.0059i | −0.169591 | − | 0.371353i | ||||
\(727\) | 0.787438 | + | 1.05189i | 0.0292045 | + | 0.0390126i | 0.814906 | − | 0.579593i | \(-0.196789\pi\) |
−0.785701 | + | 0.618606i | \(0.787698\pi\) | |||||||
\(728\) | 7.31379 | − | 0.523093i | 0.271067 | − | 0.0193871i | ||||
\(729\) | 0.909632 | + | 0.415415i | 0.0336901 | + | 0.0153857i | ||||
\(730\) | 26.1097 | − | 14.2847i | 0.966362 | − | 0.528700i | ||||
\(731\) | 1.63131 | + | 11.3460i | 0.0603362 | + | 0.419648i | ||||
\(732\) | 0.328275 | − | 1.50906i | 0.0121334 | − | 0.0557764i | ||||
\(733\) | −0.984793 | + | 13.7692i | −0.0363742 | + | 0.508577i | 0.946307 | + | 0.323271i | \(0.104782\pi\) |
−0.982681 | + | 0.185307i | \(0.940672\pi\) | |||||||
\(734\) | −23.8060 | + | 6.99007i | −0.878696 | + | 0.258008i | ||||
\(735\) | 11.4746 | − | 3.37944i | 0.423247 | − | 0.124652i | ||||
\(736\) | 1.32465 | + | 4.60926i | 0.0488271 | + | 0.169900i | ||||
\(737\) | −0.0290145 | − | 0.0290145i | −0.00106876 | − | 0.00106876i | ||||
\(738\) | −2.14231 | + | 3.92334i | −0.0788594 | + | 0.144420i | ||||
\(739\) | −32.4974 | + | 28.1591i | −1.19543 | + | 1.03585i | −0.196973 | + | 0.980409i | \(0.563111\pi\) |
−0.998462 | + | 0.0554410i | \(0.982344\pi\) | |||||||
\(740\) | −3.66268 | + | 4.23395i | −0.134643 | + | 0.155643i | ||||
\(741\) | −34.6638 | + | 4.98390i | −1.27341 | + | 0.183088i | ||||
\(742\) | 3.43426 | + | 15.7870i | 0.126076 | + | 0.579560i | ||||
\(743\) | 1.07146 | − | 0.399632i | 0.0393079 | − | 0.0146611i | −0.329733 | − | 0.944074i | \(-0.606959\pi\) |
0.369041 | + | 0.929413i | \(0.379686\pi\) | |||||||
\(744\) | −1.38964 | − | 1.20413i | −0.0509468 | − | 0.0441457i | ||||
\(745\) | −5.80253 | − | 4.33632i | −0.212588 | − | 0.158870i | ||||
\(746\) | 19.2671 | − | 8.79898i | 0.705418 | − | 0.322153i | ||||
\(747\) | −2.78204 | + | 1.51911i | −0.101789 | + | 0.0555812i | ||||
\(748\) | 0.0131448 | − | 0.00717763i | 0.000480623 | − | 0.000262440i | ||||
\(749\) | −15.8070 | + | 7.21880i | −0.577574 | + | 0.263769i | ||||
\(750\) | −0.770243 | + | 11.1538i | −0.0281253 | + | 0.407278i | ||||
\(751\) | −0.717626 | − | 0.621827i | −0.0261866 | − | 0.0226908i | 0.641669 | − | 0.766982i | \(-0.278242\pi\) |
−0.667856 | + | 0.744291i | \(0.732788\pi\) | |||||||
\(752\) | −0.573679 | + | 0.213971i | −0.0209199 | + | 0.00780273i | ||||
\(753\) | −5.59186 | − | 25.7054i | −0.203779 | − | 0.936755i | ||||
\(754\) | 39.0892 | − | 5.62018i | 1.42355 | − | 0.204675i | ||||
\(755\) | 0.703594 | + | 9.72578i | 0.0256064 | + | 0.353957i | ||||
\(756\) | −0.970919 | + | 0.841306i | −0.0353120 | + | 0.0305980i | ||||
\(757\) | 14.9570 | − | 27.3916i | 0.543620 | − | 0.995566i | −0.451054 | − | 0.892497i | \(-0.648952\pi\) |
0.994674 | − | 0.103069i | \(-0.0328663\pi\) | |||||||
\(758\) | 8.46916 | + | 8.46916i | 0.307614 | + | 0.307614i | ||||
\(759\) | 0.0298226 | + | 0.0261433i | 0.00108249 | + | 0.000948943i | ||||
\(760\) | −3.87617 | − | 13.1612i | −0.140603 | − | 0.477407i | ||||
\(761\) | −47.0387 | + | 13.8118i | −1.70515 | + | 0.500677i | −0.981818 | − | 0.189823i | \(-0.939209\pi\) |
−0.723332 | + | 0.690500i | \(0.757391\pi\) | |||||||
\(762\) | −0.361820 | + | 5.05890i | −0.0131074 | + | 0.183265i | ||||
\(763\) | 4.57510 | − | 21.0314i | 0.165630 | − | 0.761387i | ||||
\(764\) | 0.293513 | + | 2.04143i | 0.0106189 | + | 0.0738562i | ||||
\(765\) | −3.88659 | − | 1.13776i | −0.140520 | − | 0.0411357i | ||||
\(766\) | 22.0971 | + | 10.0914i | 0.798400 | + | 0.364617i | ||||
\(767\) | −24.9778 | + | 1.78645i | −0.901896 | + | 0.0645049i | ||||
\(768\) | 0.599278 | + | 0.800541i | 0.0216246 | + | 0.0288870i | ||||
\(769\) | −3.14935 | − | 6.89613i | −0.113569 | − | 0.248681i | 0.844309 | − | 0.535856i | \(-0.180011\pi\) |
−0.957878 | + | 0.287175i | \(0.907284\pi\) | |||||||
\(770\) | 0.0168117 | + | 0.0167842i | 0.000605851 | + | 0.000604861i | ||||
\(771\) | −27.2434 | − | 7.99939i | −0.981148 | − | 0.288091i | ||||
\(772\) | −2.23677 | + | 5.99702i | −0.0805032 | + | 0.215837i | ||||
\(773\) | 40.2913 | − | 30.1617i | 1.44918 | − | 1.08484i | 0.469804 | − | 0.882771i | \(-0.344324\pi\) |
0.979371 | − | 0.202069i | \(-0.0647665\pi\) | |||||||
\(774\) | −4.14474 | + | 4.78328i | −0.148980 | + | 0.171932i | ||||
\(775\) | 9.09808 | − | 1.32329i | 0.326813 | − | 0.0475341i | ||||
\(776\) | 2.82489 | − | 4.39562i | 0.101408 | − | 0.157793i | ||||
\(777\) | 1.92756 | − | 2.57492i | 0.0691509 | − | 0.0923747i | ||||
\(778\) | −1.57114 | − | 0.341780i | −0.0563280 | − | 0.0122534i | ||||
\(779\) | 17.9615 | + | 20.7287i | 0.643538 | + | 0.742683i | ||||
\(780\) | −2.70264 | + | 12.4729i | −0.0967699 | + | 0.446602i | ||||
\(781\) | − | 0.119443i | − | 0.00427400i | ||||||
\(782\) | 5.24503 | − | 6.92316i | 0.187562 | − | 0.247572i | ||||
\(783\) | −4.89260 | + | 4.89260i | −0.174847 | + | 0.174847i | ||||
\(784\) | 1.50713 | + | 5.13283i | 0.0538262 | + | 0.183315i | ||||
\(785\) | 26.2607 | − | 40.9359i | 0.937283 | − | 1.46107i | ||||
\(786\) | 9.69736 | − | 6.23212i | 0.345893 | − | 0.222292i | ||||
\(787\) | 4.13747 | + | 3.09727i | 0.147485 | + | 0.110406i | 0.670472 | − | 0.741935i | \(-0.266092\pi\) |
−0.522987 | + | 0.852341i | \(0.675182\pi\) | |||||||
\(788\) | −14.2056 | + | 3.09024i | −0.506054 | + | 0.110085i | ||||
\(789\) | −7.16172 | + | 15.6820i | −0.254964 | + | 0.558293i | ||||
\(790\) | −12.3865 | + | 27.1814i | −0.440692 | + | 0.967073i | ||||
\(791\) | −2.55496 | + | 17.7702i | −0.0908441 | + | 0.631834i | ||||
\(792\) | 0.00774814 | + | 0.00288991i | 0.000275318 | + | 0.000102688i | ||||
\(793\) | 4.22428 | + | 7.73619i | 0.150009 | + | 0.274720i | ||||
\(794\) | −7.75140 | + | 26.3988i | −0.275087 | + | 0.936860i | ||||
\(795\) | −28.0503 | − | 1.98315i | −0.994843 | − | 0.0703352i | ||||
\(796\) | 11.6189 | + | 1.67055i | 0.411822 | + | 0.0592111i | ||||
\(797\) | −1.22332 | − | 17.1043i | −0.0433323 | − | 0.605864i | −0.972004 | − | 0.234963i | \(-0.924503\pi\) |
0.928672 | − | 0.370902i | \(-0.120951\pi\) | |||||||
\(798\) | 2.75474 | + | 7.38575i | 0.0975169 | + | 0.261453i | ||||
\(799\) | 0.932863 | + | 0.599514i | 0.0330023 | + | 0.0212093i | ||||
\(800\) | −4.98784 | − | 0.348541i | −0.176347 | − | 0.0123228i | ||||
\(801\) | −1.02383 | − | 1.59311i | −0.0361753 | − | 0.0562899i | ||||
\(802\) | 14.0908 | + | 1.00780i | 0.497565 | + | 0.0355865i | ||||
\(803\) | 0.0966033 | + | 0.0527494i | 0.00340906 | + | 0.00186149i | ||||
\(804\) | −4.96191 | −0.174993 | ||||||||
\(805\) | 12.8844 | + | 4.87821i | 0.454116 | + | 0.171934i | ||||
\(806\) | 10.4947 | 0.369661 | ||||||||
\(807\) | −0.693903 | − | 0.378900i | −0.0244265 | − | 0.0133379i | ||||
\(808\) | −2.68978 | − | 0.192377i | −0.0946261 | − | 0.00676779i | ||||
\(809\) | 17.8934 | + | 27.8427i | 0.629100 | + | 0.978898i | 0.998763 | + | 0.0497323i | \(0.0158368\pi\) |
−0.369663 | + | 0.929166i | \(0.620527\pi\) | |||||||
\(810\) | −0.930559 | − | 2.03324i | −0.0326965 | − | 0.0714407i | ||||
\(811\) | 34.0505 | + | 21.8829i | 1.19567 | + | 0.768413i | 0.978202 | − | 0.207653i | \(-0.0665826\pi\) |
0.217472 | + | 0.976067i | \(0.430219\pi\) | |||||||
\(812\) | −3.10643 | − | 8.32867i | −0.109014 | − | 0.292279i | ||||
\(813\) | 1.18126 | + | 16.5161i | 0.0414285 | + | 0.579246i | ||||
\(814\) | −0.0204934 | − | 0.00294650i | −0.000718292 | − | 0.000103275i | ||||
\(815\) | 5.66097 | − | 4.91337i | 0.198295 | − | 0.172108i | ||||
\(816\) | 0.510241 | − | 1.73772i | 0.0178620 | − | 0.0608324i | ||||
\(817\) | 18.6116 | + | 34.0845i | 0.651136 | + | 1.19247i | ||||
\(818\) | −18.6388 | − | 6.95191i | −0.651690 | − | 0.243068i | ||||
\(819\) | 1.04352 | − | 7.25784i | 0.0364635 | − | 0.253609i | ||||
\(820\) | 9.36245 | − | 3.50073i | 0.326951 | − | 0.122251i | ||||
\(821\) | −11.1789 | + | 24.4783i | −0.390145 | + | 0.854299i | 0.608030 | + | 0.793914i | \(0.291960\pi\) |
−0.998175 | + | 0.0603849i | \(0.980767\pi\) | |||||||
\(822\) | −14.5156 | + | 3.15768i | −0.506290 | + | 0.110137i | ||||
\(823\) | −7.13753 | − | 5.34309i | −0.248799 | − | 0.186248i | 0.467599 | − | 0.883941i | \(-0.345119\pi\) |
−0.716397 | + | 0.697693i | \(0.754210\pi\) | |||||||
\(824\) | −6.12248 | + | 3.93468i | −0.213287 | + | 0.137071i | ||||
\(825\) | −0.0362576 | + | 0.0198752i | −0.00126233 | + | 0.000691964i | ||||
\(826\) | 1.58803 | + | 5.40833i | 0.0552546 | + | 0.188180i | ||||
\(827\) | 15.7862 | − | 15.7862i | 0.548940 | − | 0.548940i | −0.377194 | − | 0.926134i | \(-0.623111\pi\) |
0.926134 | + | 0.377194i | \(0.123111\pi\) | |||||||
\(828\) | 4.78550 | − | 0.314604i | 0.166308 | − | 0.0109333i | ||||
\(829\) | − | 44.9834i | − | 1.56234i | −0.624319 | − | 0.781170i | \(-0.714623\pi\) | ||
0.624319 | − | 0.781170i | \(-0.285377\pi\) | |||||||
\(830\) | 6.92706 | + | 1.50096i | 0.240442 | + | 0.0520991i | ||||
\(831\) | 7.45464 | + | 8.60311i | 0.258598 | + | 0.298439i | ||||
\(832\) | −5.57706 | − | 1.21322i | −0.193350 | − | 0.0420607i | ||||
\(833\) | 5.80606 | − | 7.75598i | 0.201168 | − | 0.268729i | ||||
\(834\) | −7.02305 | + | 10.9281i | −0.243188 | + | 0.378408i | ||||
\(835\) | 0.856469 | − | 5.99164i | 0.0296393 | − | 0.207349i | ||||
\(836\) | 0.0332280 | − | 0.0383471i | 0.00114921 | − | 0.00132626i | ||||
\(837\) | −1.47201 | + | 1.10193i | −0.0508799 | + | 0.0380883i | ||||
\(838\) | −4.92322 | + | 13.1997i | −0.170070 | + | 0.455974i | ||||
\(839\) | 6.57291 | + | 1.92998i | 0.226922 | + | 0.0666303i | 0.393217 | − | 0.919446i | \(-0.371362\pi\) |
−0.166295 | + | 0.986076i | \(0.553180\pi\) | |||||||
\(840\) | 2.87270 | − | 0.00234851i | 0.0991175 | − | 8.10314e-5i | ||||
\(841\) | −7.84097 | − | 17.1693i | −0.270378 | − | 0.592046i | ||||
\(842\) | −21.2999 | − | 28.4534i | −0.734044 | − | 0.980568i | ||||
\(843\) | 25.6944 | − | 1.83770i | 0.884964 | − | 0.0632939i | ||||
\(844\) | 15.4643 | + | 7.06230i | 0.532303 | + | 0.243094i | ||||
\(845\) | −21.0092 | − | 38.4008i | −0.722737 | − | 1.32103i | ||||
\(846\) | 0.0871370 | + | 0.606051i | 0.00299583 | + | 0.0208365i | ||||
\(847\) | 3.00391 | − | 13.8088i | 0.103216 | − | 0.474475i | ||||
\(848\) | 0.897148 | − | 12.5438i | 0.0308082 | − | 0.430755i | ||||
\(849\) | 4.79125 | − | 1.40684i | 0.164435 | − | 0.0482826i | ||||
\(850\) | 4.90818 | + | 7.60988i | 0.168349 | + | 0.261017i | ||||
\(851\) | −11.5400 | + | 3.31646i | −0.395587 | + | 0.113687i | ||||
\(852\) | −10.2133 | − | 10.2133i | −0.349900 | − | 0.349900i | ||||
\(853\) | 11.4708 | − | 21.0072i | 0.392753 | − | 0.719273i | −0.604237 | − | 0.796805i | \(-0.706522\pi\) |
0.996990 | + | 0.0775315i | \(0.0247038\pi\) | |||||||
\(854\) | 1.49944 | − | 1.29927i | 0.0513097 | − | 0.0444601i | ||||
\(855\) | −13.6844 | + | 0.989971i | −0.467996 | + | 0.0338563i | ||||
\(856\) | 13.3886 | − | 1.92499i | 0.457612 | − | 0.0657947i | ||||
\(857\) | −5.52315 | − | 25.3895i | −0.188667 | − | 0.867289i | −0.969987 | − | 0.243158i | \(-0.921817\pi\) |
0.781319 | − | 0.624131i | \(-0.214547\pi\) | |||||||
\(858\) | −0.0442225 | + | 0.0164941i | −0.00150973 | + | 0.000563101i | ||||
\(859\) | 43.0688 | + | 37.3194i | 1.46949 | + | 1.27332i | 0.888063 | + | 0.459721i | \(0.152051\pi\) |
0.581427 | + | 0.813599i | \(0.302495\pi\) | |||||||
\(860\) | 14.0068 | − | 2.02556i | 0.477628 | − | 0.0690711i | ||||
\(861\) | −5.22386 | + | 2.38566i | −0.178029 | + | 0.0813029i | ||||
\(862\) | 8.39588 | − | 4.58450i | 0.285965 | − | 0.156149i | ||||
\(863\) | 10.5310 | − | 5.75038i | 0.358480 | − | 0.195745i | −0.289909 | − | 0.957054i | \(-0.593625\pi\) |
0.648389 | + | 0.761309i | \(0.275443\pi\) | |||||||
\(864\) | 0.909632 | − | 0.415415i | 0.0309463 | − | 0.0141327i | ||||
\(865\) | 31.1557 | − | 4.50552i | 1.05933 | − | 0.153192i | ||||
\(866\) | −2.56675 | − | 2.22410i | −0.0872216 | − | 0.0755779i | ||||
\(867\) | 12.8549 | − | 4.79464i | 0.436576 | − | 0.162835i | ||||
\(868\) | −0.502138 | − | 2.30829i | −0.0170437 | − | 0.0783485i | ||||
\(869\) | −0.109345 | + | 0.0157214i | −0.00370927 | + | 0.000533312i | ||||
\(870\) | 15.4314 | − | 1.11636i | 0.523174 | − | 0.0378481i | ||||
\(871\) | 21.4029 | − | 18.5457i | 0.725209 | − | 0.628397i | ||||
\(872\) | −8.02905 | + | 14.7041i | −0.271898 | + | 0.497944i | ||||
\(873\) | −3.69469 | − | 3.69469i | −0.125046 | − | 0.125046i | ||||
\(874\) | 8.45268 | − | 28.1863i | 0.285916 | − | 0.953415i | ||||
\(875\) | −9.37943 | + | 10.8782i | −0.317083 | + | 0.367752i | ||||
\(876\) | 12.7708 | − | 3.74983i | 0.431484 | − | 0.126695i | ||||
\(877\) | 3.20148 | − | 44.7625i | 0.108106 | − | 1.51152i | −0.596897 | − | 0.802318i | \(-0.703600\pi\) |
0.705003 | − | 0.709204i | \(-0.250946\pi\) | |||||||
\(878\) | 2.49015 | − | 11.4470i | 0.0840384 | − | 0.386318i | ||||
\(879\) | −2.40234 | − | 16.7087i | −0.0810290 | − | 0.563569i | ||||
\(880\) | −0.00887518 | − | 0.0162221i | −0.000299182 | − | 0.000546848i | ||||
\(881\) | −11.5691 | − | 5.28341i | −0.389772 | − | 0.178003i | 0.210883 | − | 0.977511i | \(-0.432366\pi\) |
−0.600655 | + | 0.799509i | \(0.705093\pi\) | |||||||
\(882\) | 5.33589 | − | 0.381630i | 0.179669 | − | 0.0128502i | ||||
\(883\) | 18.3202 | + | 24.4729i | 0.616523 | + | 0.823579i | 0.994772 | − | 0.102126i | \(-0.0325644\pi\) |
−0.378248 | + | 0.925704i | \(0.623473\pi\) | |||||||
\(884\) | 4.29404 | + | 9.40264i | 0.144424 | + | 0.316245i | ||||
\(885\) | −9.81073 | + | 0.00802055i | −0.329784 | + | 0.000269608i | ||||
\(886\) | −28.7385 | − | 8.43840i | −0.965490 | − | 0.283493i | ||||
\(887\) | 4.52899 | − | 12.1427i | 0.152069 | − | 0.407712i | −0.838470 | − | 0.544948i | \(-0.816549\pi\) |
0.990538 | + | 0.137236i | \(0.0438220\pi\) | |||||||
\(888\) | −2.00428 | + | 1.50039i | −0.0672593 | + | 0.0503497i | ||||
\(889\) | −4.26696 | + | 4.92433i | −0.143109 | + | 0.165157i | ||||
\(890\) | −0.599209 | + | 4.19192i | −0.0200855 | + | 0.140513i | ||||
\(891\) | 0.00447085 | − | 0.00695678i | 0.000149779 | − | 0.000233061i | ||||
\(892\) | 7.82262 | − | 10.4498i | 0.261921 | − | 0.349885i | ||||
\(893\) | 3.67101 | + | 0.798580i | 0.122846 | + | 0.0267235i | ||||
\(894\) | −2.12145 | − | 2.44828i | −0.0709518 | − | 0.0818827i | ||||
\(895\) | 55.3994 | + | 12.0040i | 1.85180 | + | 0.401249i | ||||
\(896\) | 1.28471i | 0.0429191i | ||||||||
\(897\) | −19.4661 | + | 19.2434i | −0.649954 | + | 0.642518i | ||||
\(898\) | 14.3905 | − | 14.3905i | 0.480218 | − | 0.480218i | ||||
\(899\) | −3.58441 | − | 12.2074i | −0.119547 | − | 0.407139i | ||||
\(900\) | −1.40082 | + | 4.79976i | −0.0466939 | + | 0.159992i | ||||
\(901\) | −19.1602 | + | 12.3135i | −0.638320 | + | 0.410224i | ||||
\(902\) | 0.0295928 | + | 0.0221529i | 0.000985332 | + | 0.000737610i | ||||
\(903\) | −7.94535 | + | 1.72841i | −0.264405 | + | 0.0575177i | ||||
\(904\) | 5.80513 | − | 12.7115i | 0.193076 | − | 0.422777i | ||||
\(905\) | −12.8057 | + | 4.78823i | −0.425677 | + | 0.159166i | ||||
\(906\) | −0.620616 | + | 4.31648i | −0.0206186 | + | 0.143405i | ||||
\(907\) | −49.1625 | − | 18.3367i | −1.63241 | − | 0.608859i | −0.644603 | − | 0.764518i | \(-0.722977\pi\) |
−0.987811 | + | 0.155659i | \(0.950250\pi\) | |||||||
\(908\) | −9.98828 | − | 18.2922i | −0.331473 | − | 0.607047i | ||||
\(909\) | −0.759734 | + | 2.58742i | −0.0251988 | + | 0.0858192i | ||||
\(910\) | −12.3824 | + | 10.7472i | −0.410473 | + | 0.356265i | ||||
\(911\) | 22.3520 | + | 3.21374i | 0.740556 | + | 0.106476i | 0.502260 | − | 0.864717i | \(-0.332502\pi\) |
0.238296 | + | 0.971193i | \(0.423411\pi\) | |||||||
\(912\) | −0.437725 | − | 6.12020i | −0.0144945 | − | 0.202660i | ||||
\(913\) | 0.00916033 | + | 0.0245598i | 0.000303163 | + | 0.000812811i | ||||
\(914\) | −2.07833 | − | 1.33566i | −0.0687450 | − | 0.0441797i | ||||
\(915\) | 1.43711 | + | 3.14003i | 0.0475093 | + | 0.103806i | ||||
\(916\) | 0.549439 | + | 0.854944i | 0.0181540 | + | 0.0282481i | ||||
\(917\) | 14.7715 | + | 1.05648i | 0.487797 | + | 0.0348879i | ||||
\(918\) | −1.58955 | − | 0.867960i | −0.0524629 | − | 0.0286469i | ||||
\(919\) | −39.9355 | −1.31735 | −0.658676 | − | 0.752427i | \(-0.728883\pi\) | ||||
−0.658676 | + | 0.752427i | \(0.728883\pi\) | |||||||
\(920\) | −8.55303 | − | 6.46883i | −0.281985 | − | 0.213271i | ||||
\(921\) | 27.9291 | 0.920296 | ||||||||
\(922\) | −6.26943 | − | 3.42337i | −0.206473 | − | 0.112743i | ||||
\(923\) | 82.2274 | + | 5.88102i | 2.70655 | + | 0.193576i | ||||
\(924\) | 0.00574375 | + | 0.00893744i | 0.000188955 | + | 0.000294020i | ||||
\(925\) | 0.872627 | − | 12.4878i | 0.0286918 | − | 0.410598i | ||||
\(926\) | 26.5088 | + | 17.0362i | 0.871133 | + | 0.559843i | ||||
\(927\) | 2.54333 | + | 6.81893i | 0.0835339 | + | 0.223963i | ||||
\(928\) | 0.493609 | + | 6.90155i | 0.0162035 | + | 0.226554i | ||||
\(929\) | 35.3977 | + | 5.08942i | 1.16136 | + | 0.166979i | 0.695933 | − | 0.718107i | \(-0.254991\pi\) |
0.465428 | + | 0.885086i | \(0.345900\pi\) | |||||||
\(930\) | 4.10136 | + | 0.289965i | 0.134489 | + | 0.00950833i | ||||
\(931\) | 9.24752 | − | 31.4942i | 0.303075 | − | 1.03218i | ||||
\(932\) | 5.88252 | + | 10.7730i | 0.192688 | + | 0.352882i | ||||
\(933\) | −8.53674 | − | 3.18404i | −0.279480 | − | 0.104241i | ||||
\(934\) | −2.59518 | + | 18.0499i | −0.0849169 | + | 0.590610i | ||||
\(935\) | −0.0138870 | + | 0.0304742i | −0.000454154 | + | 0.000996613i | ||||
\(936\) | −2.37098 | + | 5.19172i | −0.0774979 | + | 0.169697i | ||||
\(937\) | 59.7443 | − | 12.9966i | 1.95176 | − | 0.424580i | 0.965062 | − | 0.262022i | \(-0.0843894\pi\) |
0.986699 | − | 0.162557i | \(-0.0519743\pi\) | |||||||
\(938\) | −5.10314 | − | 3.82016i | −0.166623 | − | 0.124733i | ||||
\(939\) | 9.01985 | − | 5.79671i | 0.294352 | − | 0.189168i | ||||
\(940\) | 0.739254 | − | 1.15237i | 0.0241118 | − | 0.0375862i | ||||
\(941\) | 7.56525 | + | 25.7649i | 0.246620 | + | 0.839911i | 0.986018 | + | 0.166641i | \(0.0532923\pi\) |
−0.739398 | + | 0.673269i | \(0.764890\pi\) | |||||||
\(942\) | 15.3798 | − | 15.3798i | 0.501100 | − | 0.501100i | ||||
\(943\) | 20.9215 | + | 4.67742i | 0.681299 | + | 0.152318i | ||||
\(944\) | − | 4.38749i | − | 0.142801i | ||||||
\(945\) | 0.608341 | − | 2.80755i | 0.0197893 | − | 0.0913295i | ||||
\(946\) | 0.0342751 | + | 0.0395556i | 0.00111438 | + | 0.00128606i | ||||
\(947\) | 4.99762 | + | 1.08717i | 0.162401 | + | 0.0353281i | 0.293030 | − | 0.956103i | \(-0.405336\pi\) |
−0.130630 | + | 0.991431i | \(0.541700\pi\) | |||||||
\(948\) | −8.00549 | + | 10.6941i | −0.260006 | + | 0.347328i | ||||
\(949\) | −41.0704 | + | 63.9068i | −1.33320 | + | 2.07450i | ||||
\(950\) | 24.5900 | + | 18.3452i | 0.797804 | + | 0.595195i | ||||
\(951\) | 8.62242 | − | 9.95081i | 0.279601 | − | 0.322677i | ||||
\(952\) | 1.86263 | − | 1.39435i | 0.0603682 | − | 0.0451911i | ||||
\(953\) | −1.72176 | + | 4.61621i | −0.0557731 | + | 0.149534i | −0.961848 | − | 0.273583i | \(-0.911791\pi\) |
0.906075 | + | 0.423117i | \(0.139064\pi\) | |||||||
\(954\) | −12.0664 | − | 3.54301i | −0.390664 | − | 0.114709i | ||||
\(955\) | −3.26363 | − | 3.25830i | −0.105609 | − | 0.105436i | ||||
\(956\) | −1.98764 | − | 4.35233i | −0.0642849 | − | 0.140764i | ||||
\(957\) | 0.0342897 | + | 0.0458057i | 0.00110843 | + | 0.00148069i | ||||
\(958\) | 7.18365 | − | 0.513785i | 0.232093 | − | 0.0165996i | ||||
\(959\) | −17.3599 | − | 7.92798i | −0.560579 | − | 0.256008i | ||||
\(960\) | −2.14601 | − | 0.628219i | −0.0692620 | − | 0.0202757i | ||||
\(961\) | 3.93059 | + | 27.3378i | 0.126793 | + | 0.881866i | ||||
\(962\) | 3.03748 | − | 13.9631i | 0.0979322 | − | 0.450187i | ||||
\(963\) | 0.964952 | − | 13.4918i | 0.0310951 | − | 0.434767i | ||||
\(964\) | −5.74774 | + | 1.68769i | −0.185122 | + | 0.0543568i | ||||
\(965\) | −4.04341 | − | 13.7291i | −0.130162 | − | 0.441955i | ||||
\(966\) | 5.16392 | + | 3.36079i | 0.166147 | + | 0.108132i | ||||
\(967\) | 13.9933 | + | 13.9933i | 0.449994 | + | 0.449994i | 0.895352 | − | 0.445358i | \(-0.146924\pi\) |
−0.445358 | + | 0.895352i | \(0.646924\pi\) | |||||||
\(968\) | −5.27171 | + | 9.65441i | −0.169439 | + | 0.310304i | ||||
\(969\) | −8.39827 | + | 7.27714i | −0.269791 | + | 0.233775i | ||||
\(970\) | 0.843028 | + | 11.6532i | 0.0270680 | + | 0.374161i | ||||
\(971\) | 40.8211 | − | 5.86919i | 1.31001 | − | 0.188351i | 0.548308 | − | 0.836277i | \(-0.315272\pi\) |
0.761704 | + | 0.647925i | \(0.224363\pi\) | |||||||
\(972\) | −0.212565 | − | 0.977147i | −0.00681803 | − | 0.0313420i | ||||
\(973\) | −15.6365 | + | 5.83210i | −0.501282 | + | 0.186968i | ||||
\(974\) | −14.7761 | − | 12.8035i | −0.473455 | − | 0.410251i | ||||
\(975\) | −11.8973 | − | 25.9392i | −0.381019 | − | 0.830719i | ||||
\(976\) | −1.40479 | + | 0.641546i | −0.0449662 | + | 0.0205354i | ||||
\(977\) | −19.6198 | + | 10.7132i | −0.627694 | + | 0.342747i | −0.761408 | − | 0.648273i | \(-0.775492\pi\) |
0.133714 | + | 0.991020i | \(0.457310\pi\) | |||||||
\(978\) | 2.94220 | − | 1.60656i | 0.0940811 | − | 0.0513721i | ||||
\(979\) | −0.0142451 | + | 0.00650554i | −0.000455277 | + | 0.000207918i | ||||
\(980\) | −9.58185 | − | 7.16066i | −0.306081 | − | 0.228739i | ||||
\(981\) | 12.6614 | + | 10.9711i | 0.404247 | + | 0.350282i | ||||
\(982\) | −8.76908 | + | 3.27070i | −0.279833 | + | 0.104372i | ||||
\(983\) | 7.89419 | + | 36.2890i | 0.251786 | + | 1.15744i | 0.913230 | + | 0.407445i | \(0.133580\pi\) |
−0.661444 | + | 0.749995i | \(0.730056\pi\) | |||||||
\(984\) | 4.42464 | − | 0.636167i | 0.141052 | − | 0.0202802i | ||||
\(985\) | 21.2679 | − | 24.5850i | 0.677651 | − | 0.783344i | ||||
\(986\) | 9.47045 | − | 8.20619i | 0.301601 | − | 0.261338i | ||||
\(987\) | −0.376980 | + | 0.690388i | −0.0119994 | + | 0.0219753i | ||||
\(988\) | 24.7630 | + | 24.7630i | 0.787818 | + | 0.787818i | ||||
\(989\) | 27.5377 | + | 12.7680i | 0.875649 | + | 0.406000i | ||||
\(990\) | −0.0177380 | + | 0.00522409i | −0.000563750 | + | 0.000166033i | ||||
\(991\) | −18.8633 | + | 5.53877i | −0.599213 | + | 0.175945i | −0.567252 | − | 0.823544i | \(-0.691993\pi\) |
−0.0319612 | + | 0.999489i | \(0.510175\pi\) | |||||||
\(992\) | −0.131176 | + | 1.83408i | −0.00416484 | + | 0.0582320i | ||||
\(993\) | 7.30421 | − | 33.5769i | 0.231792 | − | 1.06553i | ||||
\(994\) | −2.64079 | − | 18.3671i | −0.0837608 | − | 0.582569i | ||||
\(995\) | −23.0269 | + | 12.5981i | −0.730002 | + | 0.399387i | ||||
\(996\) | 2.88332 | + | 1.31677i | 0.0913615 | + | 0.0417234i | ||||
\(997\) | −5.62920 | + | 0.402608i | −0.178279 | + | 0.0127507i | −0.160193 | − | 0.987086i | \(-0.551212\pi\) |
−0.0180855 | + | 0.999836i | \(0.505757\pi\) | |||||||
\(998\) | −1.59614 | − | 2.13220i | −0.0505251 | − | 0.0674936i | ||||
\(999\) | 1.04006 | + | 2.27741i | 0.0329059 | + | 0.0720540i |
(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 | 690.2.w.b.37.7 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.b.313.7 | yes | 240 | |
23.5 | odd | 22 | inner | 690.2.w.b.97.7 | yes | 240 | |
115.28 | even | 44 | inner | 690.2.w.b.373.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.b.37.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.b.97.7 | yes | 240 | 23.5 | odd | 22 | inner | |
690.2.w.b.313.7 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.b.373.7 | yes | 240 | 115.28 | even | 44 | inner |