Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 11.20 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.20 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.654964 | + | 1.25340i | −0.463130 | + | 0.886291i | ||||
\(3\) | 1.65603 | − | 0.507508i | 0.956109 | − | 0.293010i | ||||
\(4\) | −1.14204 | − | 1.64187i | −0.571022 | − | 0.820935i | ||||
\(5\) | −1.89530 | + | 1.18653i | −0.847603 | + | 0.530631i | ||||
\(6\) | −0.448527 | + | 2.40807i | −0.183110 | + | 0.983092i | ||||
\(7\) | − | 4.72716i | − | 1.78670i | −0.449361 | − | 0.893350i | \(-0.648348\pi\) | ||
0.449361 | − | 0.893350i | \(-0.351652\pi\) | |||||||
\(8\) | 2.80592 | − | 0.356077i | 0.992044 | − | 0.125892i | ||||
\(9\) | 2.48487 | − | 1.68090i | 0.828290 | − | 0.560299i | ||||
\(10\) | −0.245847 | − | 3.15271i | −0.0777436 | − | 0.996973i | ||||
\(11\) | 2.39258 | − | 1.73831i | 0.721391 | − | 0.524122i | −0.165437 | − | 0.986220i | \(-0.552903\pi\) |
0.886828 | + | 0.462099i | \(0.152903\pi\) | |||||||
\(12\) | −2.72452 | − | 2.13939i | −0.786502 | − | 0.617588i | ||||
\(13\) | 3.16282 | + | 2.29792i | 0.877207 | + | 0.637328i | 0.932511 | − | 0.361141i | \(-0.117613\pi\) |
−0.0553039 | + | 0.998470i | \(0.517613\pi\) | |||||||
\(14\) | 5.92505 | + | 3.09612i | 1.58354 | + | 0.827474i | ||||
\(15\) | −2.53650 | + | 2.92680i | −0.654921 | + | 0.755698i | ||||
\(16\) | −1.39147 | + | 3.75017i | −0.347868 | + | 0.937544i | ||||
\(17\) | 0.528610 | − | 0.171756i | 0.128207 | − | 0.0416569i | −0.244211 | − | 0.969722i | \(-0.578529\pi\) |
0.372418 | + | 0.928065i | \(0.378529\pi\) | |||||||
\(18\) | 0.479344 | + | 4.21547i | 0.112982 | + | 0.993597i | ||||
\(19\) | 1.14860 | − | 0.373201i | 0.263506 | − | 0.0856183i | −0.174284 | − | 0.984695i | \(-0.555761\pi\) |
0.437790 | + | 0.899077i | \(0.355761\pi\) | |||||||
\(20\) | 4.11264 | + | 1.75676i | 0.919614 | + | 0.392824i | ||||
\(21\) | −2.39908 | − | 7.82833i | −0.523521 | − | 1.70828i | ||||
\(22\) | 0.611754 | + | 4.13741i | 0.130426 | + | 0.882099i | ||||
\(23\) | −0.664017 | + | 0.482436i | −0.138457 | + | 0.100595i | −0.654858 | − | 0.755752i | \(-0.727272\pi\) |
0.516401 | + | 0.856347i | \(0.327272\pi\) | |||||||
\(24\) | 4.46598 | − | 2.01370i | 0.911615 | − | 0.411046i | ||||
\(25\) | 2.18430 | − | 4.49765i | 0.436861 | − | 0.899529i | ||||
\(26\) | −4.95175 | + | 2.45923i | −0.971119 | + | 0.482295i | ||||
\(27\) | 3.26195 | − | 4.04471i | 0.627763 | − | 0.778405i | ||||
\(28\) | −7.76139 | + | 5.39863i | −1.46676 | + | 1.02025i | ||||
\(29\) | −6.07319 | − | 1.97330i | −1.12776 | − | 0.366432i | −0.315037 | − | 0.949079i | \(-0.602017\pi\) |
−0.812725 | + | 0.582647i | \(0.802017\pi\) | |||||||
\(30\) | −2.00716 | − | 5.09621i | −0.366455 | − | 0.930436i | ||||
\(31\) | −4.42801 | + | 1.43875i | −0.795293 | + | 0.258406i | −0.678356 | − | 0.734733i | \(-0.737307\pi\) |
−0.116937 | + | 0.993139i | \(0.537307\pi\) | |||||||
\(32\) | −3.78912 | − | 4.20030i | −0.669828 | − | 0.742516i | ||||
\(33\) | 3.07998 | − | 4.09296i | 0.536156 | − | 0.712493i | ||||
\(34\) | −0.130941 | + | 0.775057i | −0.0224562 | + | 0.132921i | ||||
\(35\) | 5.60891 | + | 8.95938i | 0.948079 | + | 1.51441i | ||||
\(36\) | −5.59765 | − | 2.16017i | −0.932941 | − | 0.360029i | ||||
\(37\) | 3.51289 | + | 2.55226i | 0.577515 | + | 0.419589i | 0.837827 | − | 0.545935i | \(-0.183826\pi\) |
−0.260312 | + | 0.965524i | \(0.583826\pi\) | |||||||
\(38\) | −0.284517 | + | 1.68409i | −0.0461547 | + | 0.273195i | ||||
\(39\) | 6.40393 | + | 2.20027i | 1.02545 | + | 0.352325i | ||||
\(40\) | −4.89556 | + | 4.00418i | −0.774057 | + | 0.633116i | ||||
\(41\) | 1.90569 | − | 2.62296i | 0.297619 | − | 0.409637i | −0.633851 | − | 0.773455i | \(-0.718527\pi\) |
0.931470 | + | 0.363818i | \(0.118527\pi\) | |||||||
\(42\) | 11.3834 | + | 2.12026i | 1.75649 | + | 0.327163i | ||||
\(43\) | 9.83201i | 1.49937i | 0.661796 | + | 0.749684i | \(0.269794\pi\) | ||||
−0.661796 | + | 0.749684i | \(0.730206\pi\) | |||||||
\(44\) | −5.58652 | − | 1.94308i | −0.842200 | − | 0.292930i | ||||
\(45\) | −2.71514 | + | 6.13417i | −0.404749 | + | 0.914428i | ||||
\(46\) | −0.169781 | − | 1.14826i | −0.0250328 | − | 0.169302i | ||||
\(47\) | 1.36526 | − | 4.20183i | 0.199143 | − | 0.612901i | −0.800760 | − | 0.598986i | \(-0.795571\pi\) |
0.999903 | − | 0.0139148i | \(-0.00442937\pi\) | |||||||
\(48\) | −0.401072 | + | 6.91658i | −0.0578897 | + | 0.998323i | ||||
\(49\) | −15.3461 | −2.19230 | ||||||||
\(50\) | 4.20673 | + | 5.68361i | 0.594921 | + | 0.803784i | ||||
\(51\) | 0.788227 | − | 0.552707i | 0.110374 | − | 0.0773945i | ||||
\(52\) | 0.160810 | − | 7.81726i | 0.0223003 | − | 1.08406i | ||||
\(53\) | 7.98997 | + | 2.59610i | 1.09751 | + | 0.356601i | 0.801142 | − | 0.598474i | \(-0.204226\pi\) |
0.296364 | + | 0.955075i | \(0.404226\pi\) | |||||||
\(54\) | 2.93320 | + | 6.73768i | 0.399158 | + | 0.916882i | ||||
\(55\) | −2.47210 | + | 6.13349i | −0.333338 | + | 0.827040i | ||||
\(56\) | −1.68324 | − | 13.2641i | −0.224932 | − | 1.77249i | ||||
\(57\) | 1.71271 | − | 1.20095i | 0.226853 | − | 0.159070i | ||||
\(58\) | 6.45106 | − | 6.31972i | 0.847065 | − | 0.829820i | ||||
\(59\) | −0.804579 | − | 0.584561i | −0.104747 | − | 0.0761034i | 0.534179 | − | 0.845372i | \(-0.320621\pi\) |
−0.638926 | + | 0.769268i | \(0.720621\pi\) | |||||||
\(60\) | 7.70222 | + | 0.822056i | 0.994353 | + | 0.106127i | ||||
\(61\) | −4.40480 | + | 3.20028i | −0.563977 | + | 0.409754i | −0.832913 | − | 0.553405i | \(-0.813328\pi\) |
0.268935 | + | 0.963158i | \(0.413328\pi\) | |||||||
\(62\) | 1.09685 | − | 6.49241i | 0.139301 | − | 0.824537i | ||||
\(63\) | −7.94588 | − | 11.7464i | −1.00109 | − | 1.47991i | ||||
\(64\) | 7.74642 | − | 1.99825i | 0.968302 | − | 0.249781i | ||||
\(65\) | −8.72102 | − | 0.602474i | −1.08171 | − | 0.0747277i | ||||
\(66\) | 3.11285 | + | 6.54120i | 0.383166 | + | 0.805167i | ||||
\(67\) | 0.581557 | − | 0.188959i | 0.0710484 | − | 0.0230850i | −0.273277 | − | 0.961935i | \(-0.588108\pi\) |
0.344326 | + | 0.938850i | \(0.388108\pi\) | |||||||
\(68\) | −0.885697 | − | 0.671757i | −0.107407 | − | 0.0814624i | ||||
\(69\) | −0.854791 | + | 1.13592i | −0.102905 | + | 0.136749i | ||||
\(70\) | −14.9034 | + | 1.16216i | −1.78129 | + | 0.138905i | ||||
\(71\) | −4.78758 | + | 14.7347i | −0.568181 | + | 1.74868i | 0.0901228 | + | 0.995931i | \(0.471274\pi\) |
−0.658304 | + | 0.752752i | \(0.728726\pi\) | |||||||
\(72\) | 6.37383 | − | 5.60128i | 0.751163 | − | 0.660117i | ||||
\(73\) | 8.18277 | − | 5.94513i | 0.957720 | − | 0.695825i | 0.00510015 | − | 0.999987i | \(-0.498377\pi\) |
0.952620 | + | 0.304162i | \(0.0983766\pi\) | |||||||
\(74\) | −5.49983 | + | 2.73143i | −0.639342 | + | 0.317522i | ||||
\(75\) | 1.33468 | − | 8.55679i | 0.154116 | − | 0.988053i | ||||
\(76\) | −1.92450 | − | 1.45963i | −0.220755 | − | 0.167431i | ||||
\(77\) | −8.21730 | − | 11.3101i | −0.936448 | − | 1.28891i | ||||
\(78\) | −6.95217 | + | 6.58562i | −0.787178 | + | 0.745674i | ||||
\(79\) | −14.2920 | − | 4.64377i | −1.60798 | − | 0.522465i | −0.638917 | − | 0.769275i | \(-0.720617\pi\) |
−0.969064 | + | 0.246811i | \(0.920617\pi\) | |||||||
\(80\) | −1.81243 | − | 8.75871i | −0.202636 | − | 0.979254i | ||||
\(81\) | 3.34916 | − | 8.35363i | 0.372129 | − | 0.928181i | ||||
\(82\) | 2.03947 | + | 4.10654i | 0.225221 | + | 0.453492i | ||||
\(83\) | 0.119077 | + | 0.366481i | 0.0130704 | + | 0.0402265i | 0.957379 | − | 0.288835i | \(-0.0932678\pi\) |
−0.944309 | + | 0.329061i | \(0.893268\pi\) | |||||||
\(84\) | −10.1132 | + | 12.8793i | −1.10344 | + | 1.40524i | ||||
\(85\) | −0.798081 | + | 0.952740i | −0.0865640 | + | 0.103339i | ||||
\(86\) | −12.3235 | − | 6.43961i | −1.32888 | − | 0.694401i | ||||
\(87\) | −11.0588 | − | 0.185647i | −1.18563 | − | 0.0199035i | ||||
\(88\) | 6.09444 | − | 5.72952i | 0.649669 | − | 0.610769i | ||||
\(89\) | 5.82238 | + | 8.01381i | 0.617171 | + | 0.849463i | 0.997143 | − | 0.0755352i | \(-0.0240665\pi\) |
−0.379972 | + | 0.924998i | \(0.624067\pi\) | |||||||
\(90\) | −5.91028 | − | 7.42082i | −0.622998 | − | 0.782223i | ||||
\(91\) | 10.8626 | − | 14.9511i | 1.13871 | − | 1.56731i | ||||
\(92\) | 1.55043 | + | 0.539265i | 0.161644 | + | 0.0562223i | ||||
\(93\) | −6.60273 | + | 4.62986i | −0.684672 | + | 0.480094i | ||||
\(94\) | 4.37240 | + | 4.46327i | 0.450979 | + | 0.460351i | ||||
\(95\) | −1.73412 | + | 2.07017i | −0.177917 | + | 0.212395i | ||||
\(96\) | −8.40659 | − | 5.03282i | −0.857994 | − | 0.513660i | ||||
\(97\) | −4.82234 | + | 14.8416i | −0.489634 | + | 1.50694i | 0.335521 | + | 0.942033i | \(0.391088\pi\) |
−0.825155 | + | 0.564906i | \(0.808912\pi\) | |||||||
\(98\) | 10.0511 | − | 19.2348i | 1.01532 | − | 1.94301i | ||||
\(99\) | 3.02333 | − | 8.34118i | 0.303856 | − | 0.838320i | ||||
\(100\) | −9.87912 | + | 1.55017i | −0.987912 | + | 0.155017i | ||||
\(101\) | 0.541191i | 0.0538505i | 0.999637 | + | 0.0269253i | \(0.00857161\pi\) | ||||
−0.999637 | + | 0.0269253i | \(0.991428\pi\) | |||||||
\(102\) | 0.176505 | + | 1.34997i | 0.0174766 | + | 0.133667i | ||||
\(103\) | 4.33328 | + | 1.40797i | 0.426971 | + | 0.138731i | 0.514617 | − | 0.857420i | \(-0.327934\pi\) |
−0.0876456 | + | 0.996152i | \(0.527934\pi\) | |||||||
\(104\) | 9.69286 | + | 5.32158i | 0.950463 | + | 0.521824i | ||||
\(105\) | 13.8355 | + | 11.9904i | 1.35021 | + | 1.17015i | ||||
\(106\) | −8.48710 | + | 8.31431i | −0.824340 | + | 0.807557i | ||||
\(107\) | −6.74072 | −0.651650 | −0.325825 | − | 0.945430i | \(-0.605642\pi\) | ||||
−0.325825 | + | 0.945430i | \(0.605642\pi\) | |||||||
\(108\) | −10.3662 | − | 0.736458i | −0.997486 | − | 0.0708657i | ||||
\(109\) | −3.02378 | − | 2.19691i | −0.289626 | − | 0.210426i | 0.433479 | − | 0.901164i | \(-0.357286\pi\) |
−0.723105 | + | 0.690738i | \(0.757286\pi\) | |||||||
\(110\) | −6.06861 | − | 7.11576i | −0.578619 | − | 0.678461i | ||||
\(111\) | 7.11274 | + | 2.44380i | 0.675112 | + | 0.231955i | ||||
\(112\) | 17.7277 | + | 6.57771i | 1.67511 | + | 0.621535i | ||||
\(113\) | 3.67046 | − | 5.05195i | 0.345287 | − | 0.475247i | −0.600689 | − | 0.799483i | \(-0.705107\pi\) |
0.945976 | + | 0.324235i | \(0.105107\pi\) | |||||||
\(114\) | 0.383521 | + | 2.93330i | 0.0359200 | + | 0.274728i | ||||
\(115\) | 0.686085 | − | 1.70223i | 0.0639778 | − | 0.158734i | ||||
\(116\) | 3.69595 | + | 12.2250i | 0.343160 | + | 1.13506i | ||||
\(117\) | 11.7218 | + | 0.393662i | 1.08368 | + | 0.0363941i | ||||
\(118\) | 1.25966 | − | 0.625597i | 0.115961 | − | 0.0575908i | ||||
\(119\) | −0.811919 | − | 2.49883i | −0.0744285 | − | 0.229067i | ||||
\(120\) | −6.07505 | + | 9.11558i | −0.554573 | + | 0.832135i | ||||
\(121\) | −0.696462 | + | 2.14349i | −0.0633148 | + | 0.194863i | ||||
\(122\) | −1.12625 | − | 7.61707i | −0.101966 | − | 0.689617i | ||||
\(123\) | 1.82471 | − | 5.31085i | 0.164528 | − | 0.478863i | ||||
\(124\) | 7.41921 | + | 5.62710i | 0.666265 | + | 0.505328i | ||||
\(125\) | 1.19667 | + | 11.1161i | 0.107034 | + | 0.994255i | ||||
\(126\) | 19.9272 | − | 2.26594i | 1.77526 | − | 0.201866i | ||||
\(127\) | 6.31110 | + | 8.68649i | 0.560020 | + | 0.770801i | 0.991329 | − | 0.131403i | \(-0.0419481\pi\) |
−0.431309 | + | 0.902204i | \(0.641948\pi\) | |||||||
\(128\) | −2.56901 | + | 11.0182i | −0.227070 | + | 0.973878i | ||||
\(129\) | 4.98983 | + | 16.2821i | 0.439330 | + | 1.43356i | ||||
\(130\) | 6.46710 | − | 10.5364i | 0.567202 | − | 0.924100i | ||||
\(131\) | 3.43036 | + | 10.5576i | 0.299712 | + | 0.922418i | 0.981598 | + | 0.190959i | \(0.0611599\pi\) |
−0.681886 | + | 0.731458i | \(0.738840\pi\) | |||||||
\(132\) | −10.2376 | − | 0.382591i | −0.891067 | − | 0.0333003i | ||||
\(133\) | −1.76418 | − | 5.42960i | −0.152974 | − | 0.470806i | ||||
\(134\) | −0.144056 | + | 0.852687i | −0.0124446 | + | 0.0736609i | ||||
\(135\) | −1.38320 | + | 11.5363i | −0.119047 | + | 0.992889i | ||||
\(136\) | 1.42208 | − | 0.670160i | 0.121943 | − | 0.0574658i | ||||
\(137\) | −11.2897 | + | 15.5390i | −0.964546 | + | 1.32758i | −0.0197913 | + | 0.999804i | \(0.506300\pi\) |
−0.944754 | + | 0.327779i | \(0.893700\pi\) | |||||||
\(138\) | −0.863914 | − | 1.81539i | −0.0735412 | − | 0.154536i | ||||
\(139\) | 2.56446 | + | 3.52968i | 0.217515 | + | 0.299383i | 0.903805 | − | 0.427944i | \(-0.140762\pi\) |
−0.686290 | + | 0.727328i | \(0.740762\pi\) | |||||||
\(140\) | 8.30451 | − | 19.4411i | 0.701859 | − | 1.64307i | ||||
\(141\) | 0.128443 | − | 7.65124i | 0.0108169 | − | 0.644351i | ||||
\(142\) | −15.3328 | − | 15.6514i | −1.28670 | − | 1.31344i | ||||
\(143\) | 11.5618 | 0.966847 | ||||||||
\(144\) | 2.84604 | + | 11.6576i | 0.237170 | + | 0.971468i | ||||
\(145\) | 13.8519 | − | 3.46602i | 1.15033 | − | 0.287837i | ||||
\(146\) | 2.09223 | + | 14.1502i | 0.173154 | + | 1.17108i | ||||
\(147\) | −25.4136 | + | 7.78827i | −2.09608 | + | 0.642365i | ||||
\(148\) | 0.178609 | − | 8.68250i | 0.0146816 | − | 0.713697i | ||||
\(149\) | − | 4.69487i | − | 0.384619i | −0.981334 | − | 0.192310i | \(-0.938402\pi\) | ||
0.981334 | − | 0.192310i | \(-0.0615978\pi\) | |||||||
\(150\) | 9.85095 | + | 7.27728i | 0.804326 | + | 0.594188i | ||||
\(151\) | − | 7.47785i | − | 0.608539i | −0.952586 | − | 0.304269i | \(-0.901588\pi\) | ||
0.952586 | − | 0.304269i | \(-0.0984123\pi\) | |||||||
\(152\) | 3.08998 | − | 1.45616i | 0.250631 | − | 0.118110i | ||||
\(153\) | 1.02482 | − | 1.31533i | 0.0828521 | − | 0.106338i | ||||
\(154\) | 19.5582 | − | 2.89186i | 1.57605 | − | 0.233033i | ||||
\(155\) | 6.68527 | − | 7.98080i | 0.536974 | − | 0.641033i | ||||
\(156\) | −3.70102 | − | 13.0272i | −0.296319 | − | 1.04301i | ||||
\(157\) | 3.23025 | 0.257802 | 0.128901 | − | 0.991657i | \(-0.458855\pi\) | ||||
0.128901 | + | 0.991657i | \(0.458855\pi\) | |||||||
\(158\) | 15.1813 | − | 14.8722i | 1.20776 | − | 1.18317i | ||||
\(159\) | 14.5492 | + | 0.244240i | 1.15382 | + | 0.0193695i | ||||
\(160\) | 12.1653 | + | 3.46493i | 0.961751 | + | 0.273927i | ||||
\(161\) | 2.28056 | + | 3.13892i | 0.179733 | + | 0.247381i | ||||
\(162\) | 8.27689 | + | 9.66918i | 0.650294 | + | 0.759683i | ||||
\(163\) | 8.63821 | − | 11.8895i | 0.676597 | − | 0.931255i | −0.323290 | − | 0.946300i | \(-0.604789\pi\) |
0.999887 | + | 0.0150445i | \(0.00478900\pi\) | |||||||
\(164\) | −6.48293 | − | 0.133361i | −0.506232 | − | 0.0104138i | ||||
\(165\) | −0.981075 | + | 11.4119i | −0.0763766 | + | 0.888412i | ||||
\(166\) | −0.537340 | − | 0.0907805i | −0.0417057 | − | 0.00704593i | ||||
\(167\) | −0.327444 | − | 1.00777i | −0.0253383 | − | 0.0779834i | 0.937588 | − | 0.347749i | \(-0.113054\pi\) |
−0.962926 | + | 0.269765i | \(0.913054\pi\) | |||||||
\(168\) | −9.51911 | − | 21.1114i | −0.734415 | − | 1.62878i | ||||
\(169\) | 0.705745 | + | 2.17206i | 0.0542881 | + | 0.167082i | ||||
\(170\) | −0.671453 | − | 1.62433i | −0.0514981 | − | 0.124580i | ||||
\(171\) | 2.22680 | − | 2.85803i | 0.170288 | − | 0.218559i | ||||
\(172\) | 16.1429 | − | 11.2286i | 1.23088 | − | 0.856172i | ||||
\(173\) | 11.4970 | + | 15.8242i | 0.874098 | + | 1.20309i | 0.978021 | + | 0.208508i | \(0.0668606\pi\) |
−0.103923 | + | 0.994585i | \(0.533139\pi\) | |||||||
\(174\) | 7.47584 | − | 13.7396i | 0.566742 | − | 1.04160i | ||||
\(175\) | −21.2611 | − | 10.3256i | −1.60719 | − | 0.780539i | ||||
\(176\) | 3.18977 | + | 11.3914i | 0.240438 | + | 0.858661i | ||||
\(177\) | −1.62908 | − | 0.559720i | −0.122449 | − | 0.0420711i | ||||
\(178\) | −13.8580 | + | 2.04903i | −1.03870 | + | 0.153581i | ||||
\(179\) | −2.93426 | + | 9.03072i | −0.219317 | + | 0.674988i | 0.779502 | + | 0.626400i | \(0.215472\pi\) |
−0.998819 | + | 0.0485880i | \(0.984528\pi\) | |||||||
\(180\) | 13.1723 | − | 2.54759i | 0.981806 | − | 0.189886i | ||||
\(181\) | −5.97127 | − | 18.3777i | −0.443841 | − | 1.36600i | −0.883750 | − | 0.467960i | \(-0.844989\pi\) |
0.439908 | − | 0.898043i | \(-0.355011\pi\) | |||||||
\(182\) | 11.6252 | + | 23.4078i | 0.861716 | + | 1.73510i | ||||
\(183\) | −5.67032 | + | 7.53523i | −0.419162 | + | 0.557020i | ||||
\(184\) | −1.69140 | + | 1.59012i | −0.124691 | + | 0.117225i | ||||
\(185\) | −9.68630 | − | 0.669158i | −0.712151 | − | 0.0491975i | ||||
\(186\) | −1.47853 | − | 11.3083i | −0.108411 | − | 0.829164i | ||||
\(187\) | 0.966180 | − | 1.32983i | 0.0706540 | − | 0.0972469i | ||||
\(188\) | −8.45805 | + | 2.55710i | −0.616867 | + | 0.186496i | ||||
\(189\) | −19.1200 | − | 15.4198i | −1.39078 | − | 1.12162i | ||||
\(190\) | −1.45897 | − | 3.52944i | −0.105845 | − | 0.256052i | ||||
\(191\) | −13.9771 | − | 10.1550i | −1.01135 | − | 0.734788i | −0.0468569 | − | 0.998902i | \(-0.514920\pi\) |
−0.964491 | + | 0.264114i | \(0.914920\pi\) | |||||||
\(192\) | 11.8142 | − | 7.24054i | 0.852614 | − | 0.522541i | ||||
\(193\) | 3.00653 | 0.216415 | 0.108207 | − | 0.994128i | \(-0.465489\pi\) | ||||
0.108207 | + | 0.994128i | \(0.465489\pi\) | |||||||
\(194\) | −15.4441 | − | 15.7651i | −1.10882 | − | 1.13187i | ||||
\(195\) | −14.7480 | + | 3.42828i | −1.05613 | + | 0.245504i | ||||
\(196\) | 17.5259 | + | 25.1963i | 1.25185 | + | 1.79973i | ||||
\(197\) | −1.59660 | − | 0.518766i | −0.113753 | − | 0.0369606i | 0.251587 | − | 0.967835i | \(-0.419047\pi\) |
−0.365340 | + | 0.930874i | \(0.619047\pi\) | |||||||
\(198\) | 8.47469 | + | 9.25263i | 0.602270 | + | 0.657556i | ||||
\(199\) | 18.8808i | 1.33842i | 0.743072 | + | 0.669212i | \(0.233368\pi\) | ||||
−0.743072 | + | 0.669212i | \(0.766632\pi\) | |||||||
\(200\) | 4.52748 | − | 13.3978i | 0.320141 | − | 0.947370i | ||||
\(201\) | 0.867177 | − | 0.608067i | 0.0611659 | − | 0.0428897i | ||||
\(202\) | −0.678331 | − | 0.354461i | −0.0477272 | − | 0.0249398i | ||||
\(203\) | −9.32810 | + | 28.7089i | −0.654704 | + | 2.01497i | ||||
\(204\) | −1.80766 | − | 0.662950i | −0.126562 | − | 0.0464158i | ||||
\(205\) | −0.499638 | + | 7.23244i | −0.0348962 | + | 0.505135i | ||||
\(206\) | −4.60290 | + | 4.50918i | −0.320699 | + | 0.314170i | ||||
\(207\) | −0.839069 | + | 2.31494i | −0.0583193 | + | 0.160899i | ||||
\(208\) | −13.0186 | + | 8.66362i | −0.902675 | + | 0.600714i | ||||
\(209\) | 2.09937 | − | 2.88954i | 0.145217 | − | 0.199873i | ||||
\(210\) | −24.0906 | + | 9.48815i | −1.66241 | + | 0.654745i | ||||
\(211\) | 1.63417 | + | 2.24924i | 0.112501 | + | 0.154844i | 0.861554 | − | 0.507665i | \(-0.169491\pi\) |
−0.749053 | + | 0.662510i | \(0.769491\pi\) | |||||||
\(212\) | −4.86244 | − | 16.0833i | −0.333954 | − | 1.10461i | ||||
\(213\) | −0.450414 | + | 26.8308i | −0.0308618 | + | 1.83841i | ||||
\(214\) | 4.41493 | − | 8.44885i | 0.301798 | − | 0.577551i | ||||
\(215\) | −11.6659 | − | 18.6346i | −0.795611 | − | 1.27087i | ||||
\(216\) | 7.71255 | − | 12.5107i | 0.524773 | − | 0.851242i | ||||
\(217\) | 6.80119 | + | 20.9319i | 0.461695 | + | 1.42095i | ||||
\(218\) | 4.73408 | − | 2.35113i | 0.320633 | − | 0.159239i | ||||
\(219\) | 10.5337 | − | 13.9981i | 0.711802 | − | 0.945906i | ||||
\(220\) | 12.8936 | − | 2.94585i | 0.869289 | − | 0.198609i | ||||
\(221\) | 2.06658 | + | 0.671472i | 0.139013 | + | 0.0451681i | ||||
\(222\) | −7.72166 | + | 7.31454i | −0.518244 | + | 0.490920i | ||||
\(223\) | 6.88081 | + | 9.47063i | 0.460773 | + | 0.634200i | 0.974669 | − | 0.223653i | \(-0.0717981\pi\) |
−0.513896 | + | 0.857853i | \(0.671798\pi\) | |||||||
\(224\) | −19.8555 | + | 17.9118i | −1.32665 | + | 1.19678i | ||||
\(225\) | −2.13237 | − | 14.8477i | −0.142158 | − | 0.989844i | ||||
\(226\) | 3.92812 | + | 7.90941i | 0.261294 | + | 0.526126i | ||||
\(227\) | 17.1198 | − | 12.4383i | 1.13628 | − | 0.825558i | 0.149686 | − | 0.988734i | \(-0.452174\pi\) |
0.986597 | + | 0.163176i | \(0.0521739\pi\) | |||||||
\(228\) | −3.92780 | − | 1.44050i | −0.260125 | − | 0.0953992i | ||||
\(229\) | 8.59053 | − | 26.4389i | 0.567678 | − | 1.74713i | −0.0921790 | − | 0.995742i | \(-0.529383\pi\) |
0.659857 | − | 0.751391i | \(-0.270617\pi\) | |||||||
\(230\) | 1.68423 | + | 1.97484i | 0.111055 | + | 0.130217i | ||||
\(231\) | −19.3481 | − | 14.5596i | −1.27301 | − | 0.957950i | ||||
\(232\) | −17.7435 | − | 3.37440i | −1.16492 | − | 0.221540i | ||||
\(233\) | −6.85704 | + | 2.22799i | −0.449220 | + | 0.145960i | −0.524885 | − | 0.851173i | \(-0.675892\pi\) |
0.0756657 | + | 0.997133i | \(0.475892\pi\) | |||||||
\(234\) | −8.17075 | + | 14.4343i | −0.534138 | + | 0.943597i | ||||
\(235\) | 2.39802 | + | 9.58364i | 0.156430 | + | 0.625168i | ||||
\(236\) | −0.0409080 | + | 1.98861i | −0.00266288 | + | 0.129447i | ||||
\(237\) | −26.0248 | − | 0.436884i | −1.69049 | − | 0.0283787i | ||||
\(238\) | 3.66382 | + | 0.618981i | 0.237490 | + | 0.0401226i | ||||
\(239\) | 11.1364 | − | 8.09108i | 0.720355 | − | 0.523368i | −0.166143 | − | 0.986102i | \(-0.553131\pi\) |
0.886498 | + | 0.462733i | \(0.153131\pi\) | |||||||
\(240\) | −7.44657 | − | 13.5849i | −0.480674 | − | 0.876899i | ||||
\(241\) | −12.2762 | − | 8.91917i | −0.790779 | − | 0.574534i | 0.117416 | − | 0.993083i | \(-0.462539\pi\) |
−0.908194 | + | 0.418549i | \(0.862539\pi\) | |||||||
\(242\) | −2.23050 | − | 2.27686i | −0.143382 | − | 0.146362i | ||||
\(243\) | 1.30677 | − | 15.5336i | 0.0838296 | − | 0.996480i | ||||
\(244\) | 10.2849 | + | 3.57726i | 0.658425 | + | 0.229010i | ||||
\(245\) | 29.0854 | − | 18.2086i | 1.85820 | − | 1.16330i | ||||
\(246\) | 5.46152 | + | 5.76551i | 0.348214 | + | 0.367596i | ||||
\(247\) | 4.49038 | + | 1.45901i | 0.285716 | + | 0.0928349i | ||||
\(248\) | −11.9123 | + | 5.61372i | −0.756434 | + | 0.356472i | ||||
\(249\) | 0.383187 | + | 0.546471i | 0.0242835 | + | 0.0346312i | ||||
\(250\) | −14.7168 | − | 5.78074i | −0.930770 | − | 0.365606i | ||||
\(251\) | 11.6075 | 0.732661 | 0.366331 | − | 0.930485i | \(-0.380614\pi\) | ||||
0.366331 | + | 0.930485i | \(0.380614\pi\) | |||||||
\(252\) | −10.2115 | + | 26.4610i | −0.643264 | + | 1.66689i | ||||
\(253\) | −0.750090 | + | 2.30854i | −0.0471578 | + | 0.145137i | ||||
\(254\) | −15.0212 | + | 2.22103i | −0.942516 | + | 0.139360i | ||||
\(255\) | −0.838122 | + | 1.98280i | −0.0524853 | + | 0.124168i | ||||
\(256\) | −12.1276 | − | 10.4365i | −0.757976 | − | 0.652282i | ||||
\(257\) | − | 0.872538i | − | 0.0544274i | −0.999630 | − | 0.0272137i | \(-0.991337\pi\) | ||
0.999630 | − | 0.0272137i | \(-0.00866346\pi\) | |||||||
\(258\) | −23.6762 | − | 4.40992i | −1.47402 | − | 0.274550i | ||||
\(259\) | 12.0650 | − | 16.6060i | 0.749680 | − | 1.03185i | ||||
\(260\) | 8.97061 | + | 15.0068i | 0.556334 | + | 0.930684i | ||||
\(261\) | −18.4080 | + | 5.30502i | −1.13943 | + | 0.328372i | ||||
\(262\) | −15.4796 | − | 2.61519i | −0.956335 | − | 0.161567i | ||||
\(263\) | 11.1421 | + | 8.09520i | 0.687050 | + | 0.499171i | 0.875689 | − | 0.482875i | \(-0.160408\pi\) |
−0.188639 | + | 0.982047i | \(0.560408\pi\) | |||||||
\(264\) | 7.18479 | − | 12.5812i | 0.442193 | − | 0.774322i | ||||
\(265\) | −18.2237 | + | 4.55994i | −1.11947 | + | 0.280115i | ||||
\(266\) | 7.96096 | + | 1.34496i | 0.488118 | + | 0.0824647i | ||||
\(267\) | 13.7091 | + | 10.3162i | 0.838984 | + | 0.631342i | ||||
\(268\) | −0.974410 | − | 0.739040i | −0.0595215 | − | 0.0451441i | ||||
\(269\) | −5.48763 | + | 1.78304i | −0.334587 | + | 0.108714i | −0.471492 | − | 0.881870i | \(-0.656284\pi\) |
0.136905 | + | 0.990584i | \(0.456284\pi\) | |||||||
\(270\) | −13.5537 | − | 9.28959i | −0.824854 | − | 0.565346i | ||||
\(271\) | 21.3973 | + | 6.95241i | 1.29979 | + | 0.422329i | 0.875510 | − | 0.483201i | \(-0.160526\pi\) |
0.424284 | + | 0.905529i | \(0.360526\pi\) | |||||||
\(272\) | −0.0914312 | + | 2.22137i | −0.00554383 | + | 0.134691i | ||||
\(273\) | 10.4010 | − | 30.2724i | 0.629499 | − | 1.83217i | ||||
\(274\) | −12.0822 | − | 24.3280i | −0.729915 | − | 1.46971i | ||||
\(275\) | −2.59219 | − | 14.5580i | −0.156315 | − | 0.877881i | ||||
\(276\) | 2.84125 | + | 0.106181i | 0.171023 | + | 0.00639134i | ||||
\(277\) | −0.491461 | + | 0.357067i | −0.0295290 | + | 0.0214541i | −0.602452 | − | 0.798155i | \(-0.705809\pi\) |
0.572923 | + | 0.819609i | \(0.305809\pi\) | |||||||
\(278\) | −6.10374 | + | 0.902494i | −0.366078 | + | 0.0541280i | ||||
\(279\) | −8.58463 | + | 11.0181i | −0.513949 | + | 0.659638i | ||||
\(280\) | 18.9284 | + | 23.1421i | 1.13119 | + | 1.38301i | ||||
\(281\) | 29.7848 | − | 9.67767i | 1.77681 | − | 0.577322i | 0.778105 | − | 0.628135i | \(-0.216181\pi\) |
0.998708 | + | 0.0508130i | \(0.0161812\pi\) | |||||||
\(282\) | 9.50598 | + | 5.17228i | 0.566073 | + | 0.308005i | ||||
\(283\) | −4.58299 | + | 1.48910i | −0.272430 | + | 0.0885180i | −0.442046 | − | 0.896992i | \(-0.645747\pi\) |
0.169616 | + | 0.985510i | \(0.445747\pi\) | |||||||
\(284\) | 29.6600 | − | 8.96705i | 1.76000 | − | 0.532096i | ||||
\(285\) | −1.82112 | + | 4.30834i | −0.107874 | + | 0.255204i | ||||
\(286\) | −7.57257 | + | 14.4916i | −0.447776 | + | 0.856908i | ||||
\(287\) | −12.3991 | − | 9.00851i | −0.731899 | − | 0.531755i | ||||
\(288\) | −16.4758 | − | 4.06809i | −0.970843 | − | 0.239714i | ||||
\(289\) | −13.5034 | + | 9.81077i | −0.794315 | + | 0.577104i | ||||
\(290\) | −4.72815 | + | 19.6321i | −0.277647 | + | 1.15284i | ||||
\(291\) | −0.453684 | + | 27.0256i | −0.0265954 | + | 1.58427i | ||||
\(292\) | −19.1062 | − | 6.64544i | −1.11811 | − | 0.388895i | ||||
\(293\) | − | 29.2911i | − | 1.71120i | −0.517635 | − | 0.855602i | \(-0.673187\pi\) | ||
0.517635 | − | 0.855602i | \(-0.326813\pi\) | |||||||
\(294\) | 6.88313 | − | 36.9545i | 0.401432 | − | 2.15523i | ||||
\(295\) | 2.21852 | + | 0.153262i | 0.129167 | + | 0.00892323i | ||||
\(296\) | 10.7657 | + | 5.91059i | 0.625743 | + | 0.343546i | ||||
\(297\) | 0.773512 | − | 15.3476i | 0.0448837 | − | 0.890559i | ||||
\(298\) | 5.88457 | + | 3.07497i | 0.340884 | + | 0.178128i | ||||
\(299\) | −3.20876 | −0.185568 | ||||||||
\(300\) | −15.5734 | + | 7.58086i | −0.899130 | + | 0.437681i | ||||
\(301\) | 46.4775 | 2.67892 | ||||||||
\(302\) | 9.37277 | + | 4.89772i | 0.539342 | + | 0.281832i | ||||
\(303\) | 0.274659 | + | 0.896229i | 0.0157787 | + | 0.0514870i | ||||
\(304\) | −0.198667 | + | 4.82673i | −0.0113943 | + | 0.276832i | ||||
\(305\) | 4.55120 | − | 11.2919i | 0.260601 | − | 0.646572i | ||||
\(306\) | 0.977419 | + | 2.14601i | 0.0558753 | + | 0.122679i | ||||
\(307\) | − | 0.637534i | − | 0.0363860i | −0.999834 | − | 0.0181930i | \(-0.994209\pi\) | ||
0.999834 | − | 0.0181930i | \(-0.00579133\pi\) | |||||||
\(308\) | −9.18526 | + | 26.4084i | −0.523379 | + | 1.50476i | ||||
\(309\) | 7.89060 | + | 0.132461i | 0.448881 | + | 0.00753545i | ||||
\(310\) | 5.62456 | + | 13.6065i | 0.319453 | + | 0.772797i | ||||
\(311\) | −18.8639 | + | 13.7054i | −1.06967 | + | 0.777161i | −0.975853 | − | 0.218428i | \(-0.929907\pi\) |
−0.0938179 | + | 0.995589i | \(0.529907\pi\) | |||||||
\(312\) | 18.7524 | + | 3.89349i | 1.06165 | + | 0.220426i | ||||
\(313\) | −19.0299 | − | 13.8260i | −1.07563 | − | 0.781494i | −0.0987180 | − | 0.995115i | \(-0.531474\pi\) |
−0.976917 | + | 0.213621i | \(0.931474\pi\) | |||||||
\(314\) | −2.11570 | + | 4.04881i | −0.119396 | + | 0.228487i | ||||
\(315\) | 28.9972 | + | 12.8349i | 1.63381 | + | 0.723164i | ||||
\(316\) | 8.69769 | + | 28.7691i | 0.489283 | + | 1.61839i | ||||
\(317\) | −5.47100 | + | 1.77764i | −0.307282 | + | 0.0998421i | −0.458599 | − | 0.888643i | \(-0.651649\pi\) |
0.151317 | + | 0.988485i | \(0.451649\pi\) | |||||||
\(318\) | −9.83531 | + | 18.0760i | −0.551537 | + | 1.01365i | ||||
\(319\) | −17.9608 | + | 5.83583i | −1.00561 | + | 0.326744i | ||||
\(320\) | −12.3108 | + | 12.9786i | −0.688194 | + | 0.725527i | ||||
\(321\) | −11.1628 | + | 3.42097i | −0.623049 | + | 0.190940i | ||||
\(322\) | −5.42801 | + | 0.802581i | −0.302491 | + | 0.0447261i | ||||
\(323\) | 0.543060 | − | 0.394556i | 0.0302167 | − | 0.0219537i | ||||
\(324\) | −17.5405 | + | 4.04133i | −0.974470 | + | 0.224518i | ||||
\(325\) | 17.2438 | − | 9.20587i | 0.956513 | − | 0.510650i | ||||
\(326\) | 9.24460 | + | 18.6143i | 0.512011 | + | 1.03095i | ||||
\(327\) | −6.12243 | − | 2.10355i | −0.338571 | − | 0.116327i | ||||
\(328\) | 4.41325 | − | 8.03839i | 0.243681 | − | 0.443846i | ||||
\(329\) | −19.8628 | − | 6.45380i | −1.09507 | − | 0.355810i | ||||
\(330\) | −13.6611 | − | 8.70404i | −0.752019 | − | 0.479142i | ||||
\(331\) | 0.975079 | − | 0.316822i | 0.0535952 | − | 0.0174141i | −0.282097 | − | 0.959386i | \(-0.591030\pi\) |
0.335692 | + | 0.941972i | \(0.391030\pi\) | |||||||
\(332\) | 0.465723 | − | 0.614047i | 0.0255599 | − | 0.0337002i | ||||
\(333\) | 13.0192 | + | 0.437234i | 0.713446 | + | 0.0239603i | ||||
\(334\) | 1.47760 | + | 0.249633i | 0.0808509 | + | 0.0136593i | ||||
\(335\) | −0.878017 | + | 1.04817i | −0.0479712 | + | 0.0572675i | ||||
\(336\) | 32.6958 | + | 1.89593i | 1.78370 | + | 0.103432i | ||||
\(337\) | −15.6066 | − | 11.3389i | −0.850145 | − | 0.617667i | 0.0750408 | − | 0.997180i | \(-0.476091\pi\) |
−0.925186 | + | 0.379514i | \(0.876091\pi\) | |||||||
\(338\) | −3.18471 | − | 0.538038i | −0.173225 | − | 0.0292654i | ||||
\(339\) | 3.51448 | − | 10.2290i | 0.190880 | − | 0.555561i | ||||
\(340\) | 2.47572 | + | 0.222274i | 0.134265 | + | 0.0120545i | ||||
\(341\) | −8.09339 | + | 11.1396i | −0.438281 | + | 0.603243i | ||||
\(342\) | 2.12379 | + | 4.66299i | 0.114842 | + | 0.252145i | ||||
\(343\) | 39.4533i | 2.13028i | ||||||||
\(344\) | 3.50095 | + | 27.5879i | 0.188759 | + | 1.48744i | ||||
\(345\) | 0.272279 | − | 3.16715i | 0.0146590 | − | 0.170513i | ||||
\(346\) | −27.3642 | + | 4.04605i | −1.47111 | + | 0.217517i | ||||
\(347\) | −0.379677 | + | 1.16852i | −0.0203821 | + | 0.0627297i | −0.960730 | − | 0.277484i | \(-0.910499\pi\) |
0.940348 | + | 0.340214i | \(0.110499\pi\) | |||||||
\(348\) | 12.3249 | + | 18.3692i | 0.660683 | + | 0.984692i | ||||
\(349\) | 25.1965 | 1.34874 | 0.674369 | − | 0.738395i | \(-0.264416\pi\) | ||||
0.674369 | + | 0.738395i | \(0.264416\pi\) | |||||||
\(350\) | 26.8674 | − | 19.8859i | 1.43612 | − | 1.06295i | ||||
\(351\) | 19.6114 | − | 5.29697i | 1.04678 | − | 0.282732i | ||||
\(352\) | −16.3672 | − | 3.46290i | −0.872377 | − | 0.184573i | ||||
\(353\) | −28.7901 | − | 9.35448i | −1.53234 | − | 0.497889i | −0.583092 | − | 0.812406i | \(-0.698157\pi\) |
−0.949252 | + | 0.314517i | \(0.898157\pi\) | |||||||
\(354\) | 1.76854 | − | 1.67530i | 0.0939970 | − | 0.0890410i | ||||
\(355\) | −8.40919 | − | 33.6072i | −0.446314 | − | 1.78368i | ||||
\(356\) | 6.50823 | − | 18.7117i | 0.344935 | − | 0.991719i | ||||
\(357\) | −2.61274 | − | 3.72608i | −0.138281 | − | 0.197205i | ||||
\(358\) | −9.39731 | − | 9.59261i | −0.496663 | − | 0.506985i | ||||
\(359\) | −16.9951 | − | 12.3476i | −0.896966 | − | 0.651684i | 0.0407191 | − | 0.999171i | \(-0.487035\pi\) |
−0.937685 | + | 0.347487i | \(0.887035\pi\) | |||||||
\(360\) | −5.43423 | + | 18.1788i | −0.286409 | + | 0.958107i | ||||
\(361\) | −14.1913 | + | 10.3106i | −0.746912 | + | 0.542663i | ||||
\(362\) | 26.9456 | + | 4.55231i | 1.41623 | + | 0.239264i | ||||
\(363\) | −0.0655229 | + | 3.90315i | −0.00343906 | + | 0.204862i | ||||
\(364\) | −36.9535 | − | 0.760175i | −1.93689 | − | 0.0398440i | ||||
\(365\) | −8.45472 | + | 20.9769i | −0.442540 | + | 1.09798i | ||||
\(366\) | −5.73083 | − | 12.0425i | −0.299556 | − | 0.629472i | ||||
\(367\) | 0.370475 | − | 0.120375i | 0.0193386 | − | 0.00628351i | −0.299332 | − | 0.954149i | \(-0.596764\pi\) |
0.318670 | + | 0.947866i | \(0.396764\pi\) | |||||||
\(368\) | −0.885261 | − | 3.16148i | −0.0461474 | − | 0.164803i | ||||
\(369\) | 0.326468 | − | 9.72098i | 0.0169952 | − | 0.506054i | ||||
\(370\) | 7.18290 | − | 11.7026i | 0.373421 | − | 0.608388i | ||||
\(371\) | 12.2722 | − | 37.7699i | 0.637140 | − | 1.96091i | ||||
\(372\) | 15.1422 | + | 5.55333i | 0.785088 | + | 0.287927i | ||||
\(373\) | −18.7228 | + | 13.6029i | −0.969428 | + | 0.704330i | −0.955321 | − | 0.295570i | \(-0.904490\pi\) |
−0.0141065 | + | 0.999900i | \(0.504490\pi\) | |||||||
\(374\) | 1.03400 | + | 2.08201i | 0.0534671 | + | 0.107658i | ||||
\(375\) | 7.62325 | + | 17.8013i | 0.393663 | + | 0.919255i | ||||
\(376\) | 2.33463 | − | 12.2762i | 0.120400 | − | 0.633095i | ||||
\(377\) | −14.6739 | − | 20.1969i | −0.755744 | − | 1.04019i | ||||
\(378\) | 31.8501 | − | 13.8657i | 1.63819 | − | 0.713175i | ||||
\(379\) | −19.5775 | − | 6.36113i | −1.00563 | − | 0.326749i | −0.240517 | − | 0.970645i | \(-0.577317\pi\) |
−0.765113 | + | 0.643896i | \(0.777317\pi\) | |||||||
\(380\) | 5.37938 | + | 0.482970i | 0.275957 | + | 0.0247758i | ||||
\(381\) | 14.8598 | + | 11.1821i | 0.761293 | + | 0.572879i | ||||
\(382\) | 21.8828 | − | 10.8678i | 1.11962 | − | 0.556047i | ||||
\(383\) | −8.82015 | − | 27.1456i | −0.450689 | − | 1.38708i | −0.876123 | − | 0.482088i | \(-0.839879\pi\) |
0.425434 | − | 0.904989i | \(-0.360121\pi\) | |||||||
\(384\) | 1.33746 | + | 19.5502i | 0.0682520 | + | 0.997668i | ||||
\(385\) | 28.9940 | + | 11.6860i | 1.47767 | + | 0.595575i | ||||
\(386\) | −1.96917 | + | 3.76840i | −0.100228 | + | 0.191806i | ||||
\(387\) | 16.5266 | + | 24.4313i | 0.840095 | + | 1.24191i | ||||
\(388\) | 29.8753 | − | 9.03215i | 1.51669 | − | 0.458538i | ||||
\(389\) | 7.77318 | + | 10.6989i | 0.394116 | + | 0.542454i | 0.959255 | − | 0.282542i | \(-0.0911776\pi\) |
−0.565139 | + | 0.824995i | \(0.691178\pi\) | |||||||
\(390\) | 5.36242 | − | 20.7306i | 0.271536 | − | 1.04974i | ||||
\(391\) | −0.268145 | + | 0.369070i | −0.0135607 | + | 0.0186647i | ||||
\(392\) | −43.0599 | + | 5.46439i | −2.17486 | + | 0.275993i | ||||
\(393\) | 11.0388 | + | 15.7427i | 0.556835 | + | 0.794114i | ||||
\(394\) | 1.69594 | − | 1.66141i | 0.0854401 | − | 0.0837006i | ||||
\(395\) | 32.5976 | − | 8.15659i | 1.64017 | − | 0.410403i | ||||
\(396\) | −17.1479 | + | 4.56208i | −0.861715 | + | 0.229253i | ||||
\(397\) | 0.489168 | − | 1.50550i | 0.0245506 | − | 0.0755591i | −0.938031 | − | 0.346553i | \(-0.887352\pi\) |
0.962581 | + | 0.270994i | \(0.0873522\pi\) | |||||||
\(398\) | −23.6652 | − | 12.3662i | −1.18623 | − | 0.619863i | ||||
\(399\) | −5.67711 | − | 8.09624i | −0.284211 | − | 0.405319i | ||||
\(400\) | 13.8276 | + | 14.4499i | 0.691378 | + | 0.722493i | ||||
\(401\) | 0.673754i | 0.0336457i | 0.999858 | + | 0.0168228i | \(0.00535513\pi\) | ||||
−0.999858 | + | 0.0168228i | \(0.994645\pi\) | |||||||
\(402\) | 0.194184 | + | 1.48518i | 0.00968502 | + | 0.0740743i | ||||
\(403\) | −17.3111 | − | 5.62471i | −0.862327 | − | 0.280187i | ||||
\(404\) | 0.888565 | − | 0.618064i | 0.0442078 | − | 0.0307498i | ||||
\(405\) | 3.56415 | + | 19.8065i | 0.177104 | + | 0.984192i | ||||
\(406\) | −29.8743 | − | 30.4952i | −1.48264 | − | 1.51345i | ||||
\(407\) | 12.8415 | 0.636530 | ||||||||
\(408\) | 2.01490 | − | 1.83152i | 0.0997524 | − | 0.0906740i | ||||
\(409\) | 9.68951 | + | 7.03984i | 0.479116 | + | 0.348098i | 0.800983 | − | 0.598687i | \(-0.204311\pi\) |
−0.321868 | + | 0.946785i | \(0.604311\pi\) | |||||||
\(410\) | −8.73792 | − | 5.36323i | −0.431535 | − | 0.264871i | ||||
\(411\) | −10.8100 | + | 31.4626i | −0.533216 | + | 1.55194i | ||||
\(412\) | −2.63710 | − | 8.72265i | −0.129920 | − | 0.429734i | ||||
\(413\) | −2.76332 | + | 3.80338i | −0.135974 | + | 0.187152i | ||||
\(414\) | −2.35199 | − | 2.56789i | −0.115594 | − | 0.126205i | ||||
\(415\) | −0.660526 | − | 0.553303i | −0.0324240 | − | 0.0271606i | ||||
\(416\) | −2.33233 | − | 21.9919i | −0.114352 | − | 1.07824i | ||||
\(417\) | 6.03817 | + | 4.54377i | 0.295690 | + | 0.222509i | ||||
\(418\) | 2.24674 | + | 4.52390i | 0.109892 | + | 0.221271i | ||||
\(419\) | −1.59083 | − | 4.89606i | −0.0777169 | − | 0.239188i | 0.904649 | − | 0.426158i | \(-0.140133\pi\) |
−0.982366 | + | 0.186970i | \(0.940133\pi\) | |||||||
\(420\) | 3.88599 | − | 36.4097i | 0.189617 | − | 1.77661i | ||||
\(421\) | −3.17772 | + | 9.78003i | −0.154873 | + | 0.476649i | −0.998148 | − | 0.0608326i | \(-0.980624\pi\) |
0.843275 | + | 0.537482i | \(0.180624\pi\) | |||||||
\(422\) | −3.88953 | + | 0.575102i | −0.189339 | + | 0.0279955i | ||||
\(423\) | −3.67037 | − | 12.7359i | −0.178459 | − | 0.619239i | ||||
\(424\) | 23.3437 | + | 4.43941i | 1.13367 | + | 0.215597i | ||||
\(425\) | 0.382149 | − | 2.75267i | 0.0185369 | − | 0.133524i | ||||
\(426\) | −33.3348 | − | 18.1377i | −1.61508 | − | 0.878777i | ||||
\(427\) | 15.1282 | + | 20.8222i | 0.732107 | + | 1.00766i | ||||
\(428\) | 7.69820 | + | 11.0674i | 0.372107 | + | 0.534962i | ||||
\(429\) | 19.1467 | − | 5.86772i | 0.924412 | − | 0.283296i | ||||
\(430\) | 30.9974 | − | 2.41717i | 1.49483 | − | 0.116566i | ||||
\(431\) | −0.375545 | − | 1.15581i | −0.0180894 | − | 0.0556733i | 0.941604 | − | 0.336721i | \(-0.109318\pi\) |
−0.959694 | + | 0.281048i | \(0.909318\pi\) | |||||||
\(432\) | 10.6295 | + | 17.8610i | 0.511410 | + | 0.859337i | ||||
\(433\) | −8.97298 | − | 27.6160i | −0.431214 | − | 1.32714i | −0.896917 | − | 0.442199i | \(-0.854198\pi\) |
0.465703 | − | 0.884941i | \(-0.345802\pi\) | |||||||
\(434\) | −30.6907 | − | 5.18501i | −1.47320 | − | 0.248888i | ||||
\(435\) | 21.1801 | − | 12.7698i | 1.01551 | − | 0.612263i | ||||
\(436\) | −0.153741 | + | 7.47363i | −0.00736286 | + | 0.357922i | ||||
\(437\) | −0.582641 | + | 0.801937i | −0.0278715 | + | 0.0383618i | ||||
\(438\) | 10.6461 | + | 22.3713i | 0.508691 | + | 1.06894i | ||||
\(439\) | −3.88565 | − | 5.34814i | −0.185452 | − | 0.255253i | 0.706161 | − | 0.708052i | \(-0.250426\pi\) |
−0.891613 | + | 0.452799i | \(0.850426\pi\) | |||||||
\(440\) | −4.75253 | + | 18.0904i | −0.226568 | + | 0.862425i | ||||
\(441\) | −38.1330 | + | 25.7952i | −1.81586 | + | 1.22834i | ||||
\(442\) | −2.19516 | + | 2.15047i | −0.104413 | + | 0.102287i | ||||
\(443\) | −33.7862 | −1.60523 | −0.802616 | − | 0.596497i | \(-0.796559\pi\) | ||||
−0.802616 | + | 0.596497i | \(0.796559\pi\) | |||||||
\(444\) | −4.11066 | − | 14.4691i | −0.195083 | − | 0.686674i | ||||
\(445\) | −20.5437 | − | 8.28015i | −0.973867 | − | 0.392517i | ||||
\(446\) | −16.3772 | + | 2.42152i | −0.775483 | + | 0.114662i | ||||
\(447\) | −2.38269 | − | 7.77485i | −0.112697 | − | 0.367738i | ||||
\(448\) | −9.44606 | − | 36.6186i | −0.446284 | − | 1.73007i | ||||
\(449\) | − | 2.40917i | − | 0.113696i | −0.998383 | − | 0.0568479i | \(-0.981895\pi\) | ||
0.998383 | − | 0.0568479i | \(-0.0181050\pi\) | |||||||
\(450\) | 20.0067 | + | 7.05196i | 0.943127 | + | 0.332433i | ||||
\(451\) | − | 9.58834i | − | 0.451497i | ||||||
\(452\) | −12.4865 | − | 0.256861i | −0.587314 | − | 0.0120817i | ||||
\(453\) | −3.79507 | − | 12.3835i | −0.178308 | − | 0.581830i | ||||
\(454\) | 4.37732 | + | 29.6047i | 0.205438 | + | 1.38942i | ||||
\(455\) | −2.84799 | + | 41.2257i | −0.133516 | + | 1.93269i | ||||
\(456\) | 4.37809 | − | 3.97964i | 0.205023 | − | 0.186364i | ||||
\(457\) | −0.341439 | −0.0159718 | −0.00798591 | − | 0.999968i | \(-0.502542\pi\) | ||||
−0.00798591 | + | 0.999968i | \(0.502542\pi\) | |||||||
\(458\) | 27.5122 | + | 28.0840i | 1.28556 | + | 1.31228i | ||||
\(459\) | 1.02960 | − | 2.69834i | 0.0480575 | − | 0.125948i | ||||
\(460\) | −3.57839 | + | 0.817565i | −0.166843 | + | 0.0381192i | ||||
\(461\) | 14.1785 | + | 19.5150i | 0.660358 | + | 0.908905i | 0.999493 | − | 0.0318327i | \(-0.0101344\pi\) |
−0.339135 | + | 0.940738i | \(0.610134\pi\) | |||||||
\(462\) | 30.9213 | − | 14.7150i | 1.43859 | − | 0.684602i | ||||
\(463\) | −6.14463 | + | 8.45736i | −0.285565 | + | 0.393047i | −0.927567 | − | 0.373656i | \(-0.878104\pi\) |
0.642002 | + | 0.766703i | \(0.278104\pi\) | |||||||
\(464\) | 15.8509 | − | 20.0297i | 0.735858 | − | 0.929856i | ||||
\(465\) | 7.02069 | − | 16.6093i | 0.325577 | − | 0.770237i | ||||
\(466\) | 1.69855 | − | 10.0539i | 0.0786837 | − | 0.465738i | ||||
\(467\) | 1.73157 | + | 5.32922i | 0.0801275 | + | 0.246607i | 0.983093 | − | 0.183105i | \(-0.0586150\pi\) |
−0.902966 | + | 0.429712i | \(0.858615\pi\) | |||||||
\(468\) | −12.7404 | − | 19.6952i | −0.588926 | − | 0.910410i | ||||
\(469\) | −0.893241 | − | 2.74911i | −0.0412460 | − | 0.126942i | ||||
\(470\) | −13.5828 | − | 3.27125i | −0.626528 | − | 0.150892i | ||||
\(471\) | 5.34939 | − | 1.63938i | 0.246487 | − | 0.0755385i | ||||
\(472\) | −2.46574 | − | 1.35374i | −0.113495 | − | 0.0623110i | ||||
\(473\) | 17.0911 | + | 23.5239i | 0.785851 | + | 1.08163i | ||||
\(474\) | 17.5929 | − | 32.3335i | 0.808069 | − | 1.48513i | ||||
\(475\) | 0.830355 | − | 5.98116i | 0.0380993 | − | 0.274435i | ||||
\(476\) | −3.17550 | + | 4.18684i | −0.145549 | + | 0.191903i | ||||
\(477\) | 24.2178 | − | 6.97936i | 1.10886 | − | 0.319563i | ||||
\(478\) | 2.84744 | + | 19.2578i | 0.130239 | + | 0.880831i | ||||
\(479\) | 4.29353 | − | 13.2141i | 0.196176 | − | 0.603769i | −0.803784 | − | 0.594921i | \(-0.797183\pi\) |
0.999961 | − | 0.00884836i | \(-0.00281656\pi\) | |||||||
\(480\) | 21.9046 | − | 0.435959i | 0.999802 | − | 0.0198987i | ||||
\(481\) | 5.24572 | + | 16.1447i | 0.239184 | + | 0.736134i | ||||
\(482\) | 19.2198 | − | 9.54529i | 0.875437 | − | 0.434776i | ||||
\(483\) | 5.36970 | + | 4.04074i | 0.244330 | + | 0.183860i | ||||
\(484\) | 4.31472 | − | 1.30446i | 0.196124 | − | 0.0592937i | ||||
\(485\) | −8.47024 | − | 33.8511i | −0.384614 | − | 1.53710i | ||||
\(486\) | 18.6140 | + | 11.8119i | 0.844347 | + | 0.535797i | ||||
\(487\) | 12.9137 | − | 17.7742i | 0.585177 | − | 0.805427i | −0.409074 | − | 0.912501i | \(-0.634148\pi\) |
0.994251 | + | 0.107074i | \(0.0341482\pi\) | |||||||
\(488\) | −11.2200 | + | 10.5482i | −0.507906 | + | 0.477494i | ||||
\(489\) | 8.27112 | − | 24.0733i | 0.374033 | − | 1.08863i | ||||
\(490\) | 3.77279 | + | 48.3817i | 0.170437 | + | 2.18566i | ||||
\(491\) | 10.1785 | + | 7.39510i | 0.459348 | + | 0.333736i | 0.793276 | − | 0.608863i | \(-0.208374\pi\) |
−0.333927 | + | 0.942599i | \(0.608374\pi\) | |||||||
\(492\) | −10.8036 | + | 3.06929i | −0.487065 | + | 0.138374i | ||||
\(493\) | −3.54928 | −0.159851 | ||||||||
\(494\) | −4.76978 | + | 4.67266i | −0.214602 | + | 0.210233i | ||||
\(495\) | 4.16692 | + | 19.3963i | 0.187289 | + | 0.871798i | ||||
\(496\) | 0.765891 | − | 18.6078i | 0.0343895 | − | 0.835513i | ||||
\(497\) | 69.6532 | + | 22.6317i | 3.12437 | + | 1.01517i | ||||
\(498\) | −0.935924 | + | 0.122370i | −0.0419397 | + | 0.00548351i | ||||
\(499\) | 11.6724i | 0.522527i | 0.965268 | + | 0.261263i | \(0.0841391\pi\) | ||||
−0.965268 | + | 0.261263i | \(0.915861\pi\) | |||||||
\(500\) | 16.8846 | − | 14.6599i | 0.755100 | − | 0.655610i | ||||
\(501\) | −1.05371 | − | 1.50271i | −0.0470762 | − | 0.0671363i | ||||
\(502\) | −7.60252 | + | 14.5489i | −0.339317 | + | 0.649351i | ||||
\(503\) | 4.93243 | − | 15.1805i | 0.219926 | − | 0.676863i | −0.778841 | − | 0.627222i | \(-0.784192\pi\) |
0.998767 | − | 0.0496418i | \(-0.0158080\pi\) | |||||||
\(504\) | −26.4782 | − | 30.1301i | −1.17943 | − | 1.34210i | ||||
\(505\) | −0.642138 | − | 1.02572i | −0.0285748 | − | 0.0456438i | ||||
\(506\) | −2.40225 | − | 2.45218i | −0.106793 | − | 0.109013i | ||||
\(507\) | 2.27107 | + | 3.23883i | 0.100862 | + | 0.143841i | ||||
\(508\) | 7.05452 | − | 20.2824i | 0.312994 | − | 0.899884i | ||||
\(509\) | 6.30000 | − | 8.67121i | 0.279243 | − | 0.384345i | −0.646240 | − | 0.763134i | \(-0.723660\pi\) |
0.925483 | + | 0.378789i | \(0.123660\pi\) | |||||||
\(510\) | −1.93631 | − | 2.34917i | −0.0857411 | − | 0.104023i | ||||
\(511\) | −28.1036 | − | 38.6813i | −1.24323 | − | 1.71116i | ||||
\(512\) | 21.0243 | − | 8.36526i | 0.929153 | − | 0.369696i | ||||
\(513\) | 2.23717 | − | 5.86310i | 0.0987735 | − | 0.258862i | ||||
\(514\) | 1.09364 | + | 0.571481i | 0.0482385 | + | 0.0252069i | ||||
\(515\) | −9.88345 | + | 2.47304i | −0.435517 | + | 0.108975i | ||||
\(516\) | 21.0345 | − | 26.7875i | 0.925991 | − | 1.17925i | ||||
\(517\) | −4.03761 | − | 12.4265i | −0.177574 | − | 0.546517i | ||||
\(518\) | 12.9119 | + | 25.9986i | 0.567317 | + | 1.14231i | ||||
\(519\) | 27.0702 | + | 20.3706i | 1.18825 | + | 0.894169i | ||||
\(520\) | −24.6851 | + | 1.41486i | −1.08251 | + | 0.0620458i | ||||
\(521\) | −36.9235 | − | 11.9972i | −1.61765 | − | 0.525606i | −0.646263 | − | 0.763115i | \(-0.723669\pi\) |
−0.971385 | + | 0.237509i | \(0.923669\pi\) | |||||||
\(522\) | 5.40724 | − | 26.5473i | 0.236669 | − | 1.16194i | ||||
\(523\) | −5.88363 | − | 8.09813i | −0.257273 | − | 0.354106i | 0.660769 | − | 0.750590i | \(-0.270230\pi\) |
−0.918042 | + | 0.396483i | \(0.870230\pi\) | |||||||
\(524\) | 13.4165 | − | 17.6894i | 0.586103 | − | 0.772765i | ||||
\(525\) | −40.4493 | − | 6.30925i | −1.76535 | − | 0.275358i | ||||
\(526\) | −17.4442 | + | 8.66347i | −0.760604 | + | 0.377745i | ||||
\(527\) | −2.09358 | + | 1.52107i | −0.0911976 | + | 0.0662590i | ||||
\(528\) | 11.0636 | + | 17.2457i | 0.481481 | + | 0.750523i | ||||
\(529\) | −6.89922 | + | 21.2336i | −0.299966 | + | 0.923200i | ||||
\(530\) | 6.22043 | − | 25.8283i | 0.270198 | − | 1.12191i | ||||
\(531\) | −2.98186 | − | 0.100143i | −0.129402 | − | 0.00434581i | ||||
\(532\) | −6.89992 | + | 9.09740i | −0.299150 | + | 0.394423i | ||||
\(533\) | 12.0547 | − | 3.91681i | 0.522147 | − | 0.169656i | ||||
\(534\) | −21.9094 | + | 10.4263i | −0.948111 | + | 0.451190i | ||||
\(535\) | 12.7757 | − | 7.99805i | 0.552340 | − | 0.345786i | ||||
\(536\) | 1.56452 | − | 0.737284i | 0.0675769 | − | 0.0318458i | ||||
\(537\) | −0.276054 | + | 16.4443i | −0.0119126 | + | 0.709624i | ||||
\(538\) | 1.35933 | − | 8.04605i | 0.0586050 | − | 0.346890i | ||||
\(539\) | −36.7168 | + | 26.6763i | −1.58150 | + | 1.14903i | ||||
\(540\) | 20.5208 | − | 10.9039i | 0.883075 | − | 0.469231i | ||||
\(541\) | 22.3539 | + | 16.2411i | 0.961071 | + | 0.698259i | 0.953399 | − | 0.301712i | \(-0.0975580\pi\) |
0.00767157 | + | 0.999971i | \(0.497558\pi\) | |||||||
\(542\) | −22.7286 | + | 22.2659i | −0.976279 | + | 0.956402i | ||||
\(543\) | −19.2154 | − | 27.4035i | −0.824613 | − | 1.17600i | ||||
\(544\) | −2.72440 | − | 1.56952i | −0.116808 | − | 0.0672927i | ||||
\(545\) | 8.33766 | + | 0.575990i | 0.357146 | + | 0.0246727i | ||||
\(546\) | 31.1313 | + | 32.8641i | 1.33230 | + | 1.40645i | ||||
\(547\) | 3.99568 | + | 1.29828i | 0.170843 | + | 0.0555103i | 0.393190 | − | 0.919457i | \(-0.371372\pi\) |
−0.222346 | + | 0.974968i | \(0.571372\pi\) | |||||||
\(548\) | 38.4063 | + | 0.790062i | 1.64064 | + | 0.0337498i | ||||
\(549\) | −5.56603 | + | 15.3563i | −0.237552 | + | 0.655391i | ||||
\(550\) | 19.9449 | + | 6.28591i | 0.850452 | + | 0.268032i | ||||
\(551\) | −7.71207 | −0.328545 | ||||||||
\(552\) | −1.99400 | + | 3.49169i | −0.0848704 | + | 0.148616i | ||||
\(553\) | −21.9519 | + | 67.5609i | −0.933488 | + | 2.87298i | ||||
\(554\) | −0.125660 | − | 0.849866i | −0.00533880 | − | 0.0361073i | ||||
\(555\) | −16.3804 | + | 3.80773i | −0.695309 | + | 0.161629i | ||||
\(556\) | 2.86654 | − | 8.24156i | 0.121568 | − | 0.349520i | ||||
\(557\) | 29.8853i | 1.26628i | 0.774036 | + | 0.633141i | \(0.218235\pi\) | ||||
−0.774036 | + | 0.633141i | \(0.781765\pi\) | |||||||
\(558\) | −8.18754 | − | 17.9765i | −0.346606 | − | 0.761006i | ||||
\(559\) | −22.5932 | + | 31.0968i | −0.955589 | + | 1.31526i | ||||
\(560\) | −41.4039 | + | 8.56768i | −1.74963 | + | 0.362050i | ||||
\(561\) | 0.925121 | − | 2.69259i | 0.0390586 | − | 0.113681i | ||||
\(562\) | −7.37795 | + | 43.6709i | −0.311220 | + | 1.84215i | ||||
\(563\) | 11.1929 | + | 8.13209i | 0.471723 | + | 0.342727i | 0.798112 | − | 0.602509i | \(-0.205832\pi\) |
−0.326389 | + | 0.945235i | \(0.605832\pi\) | |||||||
\(564\) | −12.7090 | + | 8.52717i | −0.535147 | + | 0.359059i | ||||
\(565\) | −0.962328 | + | 13.9300i | −0.0404854 | + | 0.586041i | ||||
\(566\) | 1.13524 | − | 6.71964i | 0.0477179 | − | 0.282448i | ||||
\(567\) | −39.4890 | − | 15.8320i | −1.65838 | − | 0.664883i | ||||
\(568\) | −8.18691 | + | 43.0491i | −0.343515 | + | 1.80630i | ||||
\(569\) | 18.9950 | − | 6.17185i | 0.796312 | − | 0.258737i | 0.117522 | − | 0.993070i | \(-0.462505\pi\) |
0.678789 | + | 0.734333i | \(0.262505\pi\) | |||||||
\(570\) | −4.20732 | − | 5.10441i | −0.176225 | − | 0.213800i | ||||
\(571\) | −4.17672 | − | 1.35710i | −0.174790 | − | 0.0567928i | 0.220314 | − | 0.975429i | \(-0.429292\pi\) |
−0.395105 | + | 0.918636i | \(0.629292\pi\) | |||||||
\(572\) | −13.2041 | − | 18.9830i | −0.552091 | − | 0.793719i | ||||
\(573\) | −28.3002 | − | 9.72343i | −1.18226 | − | 0.406202i | ||||
\(574\) | 19.4123 | − | 9.64089i | 0.810254 | − | 0.402403i | ||||
\(575\) | 0.719413 | + | 4.04030i | 0.0300016 | + | 0.168492i | ||||
\(576\) | 15.8900 | − | 17.9863i | 0.662083 | − | 0.749431i | ||||
\(577\) | 20.3805 | − | 14.8073i | 0.848452 | − | 0.616437i | −0.0762666 | − | 0.997087i | \(-0.524300\pi\) |
0.924719 | + | 0.380651i | \(0.124300\pi\) | |||||||
\(578\) | −3.45264 | − | 23.3509i | −0.143611 | − | 0.971268i | ||||
\(579\) | 4.97890 | − | 1.52584i | 0.206916 | − | 0.0634117i | ||||
\(580\) | −21.5102 | − | 18.7846i | −0.893162 | − | 0.779989i | ||||
\(581\) | 1.73242 | − | 0.562896i | 0.0718728 | − | 0.0233529i | ||||
\(582\) | −33.5768 | − | 18.2694i | −1.39180 | − | 0.757292i | ||||
\(583\) | 23.6295 | − | 7.67769i | 0.978634 | − | 0.317978i | ||||
\(584\) | 20.8433 | − | 19.5953i | 0.862502 | − | 0.810858i | ||||
\(585\) | −22.6833 | + | 13.1621i | −0.937839 | + | 0.544185i | ||||
\(586\) | 36.7136 | + | 19.1846i | 1.51662 | + | 0.792509i | ||||
\(587\) | −3.48619 | − | 2.53287i | −0.143891 | − | 0.104543i | 0.513511 | − | 0.858083i | \(-0.328345\pi\) |
−0.657402 | + | 0.753540i | \(0.728345\pi\) | |||||||
\(588\) | 41.8107 | + | 32.8312i | 1.72425 | + | 1.35394i | ||||
\(589\) | −4.54905 | + | 3.30508i | −0.187440 | + | 0.136183i | ||||
\(590\) | −1.64515 | + | 2.68032i | −0.0677296 | + | 0.110347i | ||||
\(591\) | −2.90729 | − | 0.0488053i | −0.119590 | − | 0.00200758i | ||||
\(592\) | −14.4595 | + | 9.62254i | −0.594282 | + | 0.395484i | ||||
\(593\) | 1.44492i | 0.0593356i | 0.999560 | + | 0.0296678i | \(0.00944494\pi\) | ||||
−0.999560 | + | 0.0296678i | \(0.990555\pi\) | |||||||
\(594\) | 18.7301 | + | 11.0217i | 0.768507 | + | 0.452224i | ||||
\(595\) | 4.50376 | + | 3.77266i | 0.184636 | + | 0.154664i | ||||
\(596\) | −7.70837 | + | 5.36175i | −0.315747 | + | 0.219626i | ||||
\(597\) | 9.58216 | + | 31.2671i | 0.392172 | + | 1.27968i | ||||
\(598\) | 2.10162 | − | 4.02188i | 0.0859418 | − | 0.164467i | ||||
\(599\) | 4.78359 | 0.195452 | 0.0977261 | − | 0.995213i | \(-0.468843\pi\) | ||||
0.0977261 | + | 0.995213i | \(0.468843\pi\) | |||||||
\(600\) | 0.698134 | − | 24.4849i | 0.0285012 | − | 0.999594i | ||||
\(601\) | −5.10574 | −0.208267 | −0.104134 | − | 0.994563i | \(-0.533207\pi\) | ||||
−0.104134 | + | 0.994563i | \(0.533207\pi\) | |||||||
\(602\) | −30.4411 | + | 58.2551i | −1.24069 | + | 2.37430i | ||||
\(603\) | 1.12747 | − | 1.44708i | 0.0459142 | − | 0.0589295i | ||||
\(604\) | −12.2777 | + | 8.54003i | −0.499571 | + | 0.347489i | ||||
\(605\) | −1.22331 | − | 4.88892i | −0.0497345 | − | 0.198763i | ||||
\(606\) | −1.30323 | − | 0.242739i | −0.0529400 | − | 0.00986059i | ||||
\(607\) | − | 28.3746i | − | 1.15169i | −0.817559 | − | 0.575844i | \(-0.804673\pi\) | ||
0.817559 | − | 0.575844i | \(-0.195327\pi\) | |||||||
\(608\) | −5.91973 | − | 3.41035i | −0.240077 | − | 0.138308i | ||||
\(609\) | −0.877584 | + | 52.2770i | −0.0355615 | + | 2.11837i | ||||
\(610\) | 11.1724 | + | 13.1003i | 0.452359 | + | 0.530415i | ||||
\(611\) | 13.9735 | − | 10.1524i | 0.565309 | − | 0.410721i | ||||
\(612\) | −3.33000 | − | 0.180461i | −0.134607 | − | 0.00729469i | ||||
\(613\) | 17.6715 | + | 12.8391i | 0.713746 | + | 0.518567i | 0.884380 | − | 0.466768i | \(-0.154582\pi\) |
−0.170634 | + | 0.985334i | \(0.554582\pi\) | |||||||
\(614\) | 0.799088 | + | 0.417562i | 0.0322485 | + | 0.0168514i | ||||
\(615\) | 2.84311 | + | 12.2307i | 0.114645 | + | 0.493190i | ||||
\(616\) | −27.0844 | − | 28.8094i | −1.09126 | − | 1.16076i | ||||
\(617\) | 12.5336 | − | 4.07242i | 0.504584 | − | 0.163949i | −0.0456535 | − | 0.998957i | \(-0.514537\pi\) |
0.550238 | + | 0.835008i | \(0.314537\pi\) | |||||||
\(618\) | −5.33409 | + | 9.80335i | −0.214568 | + | 0.394349i | ||||
\(619\) | −17.4954 | + | 5.68459i | −0.703199 | + | 0.228483i | −0.638724 | − | 0.769436i | \(-0.720537\pi\) |
−0.0644749 | + | 0.997919i | \(0.520537\pi\) | |||||||
\(620\) | −20.7383 | − | 1.86192i | −0.832871 | − | 0.0747765i | ||||
\(621\) | −0.214674 | + | 4.25944i | −0.00861455 | + | 0.170925i | ||||
\(622\) | −4.82325 | − | 32.6206i | −0.193395 | − | 1.30797i | ||||
\(623\) | 37.8826 | − | 27.5233i | 1.51773 | − | 1.10270i | ||||
\(624\) | −17.1623 | + | 20.9543i | −0.687041 | + | 0.838841i | ||||
\(625\) | −15.4576 | − | 19.6485i | −0.618305 | − | 0.785938i | ||||
\(626\) | 29.7935 | − | 14.7966i | 1.19079 | − | 0.591392i | ||||
\(627\) | 2.01016 | − | 5.85061i | 0.0802780 | − | 0.233651i | ||||
\(628\) | −3.68908 | − | 5.30364i | −0.147211 | − | 0.211638i | ||||
\(629\) | 2.29532 | + | 0.745793i | 0.0915202 | + | 0.0297367i | ||||
\(630\) | −35.0795 | + | 27.9389i | −1.39760 | + | 1.11311i | ||||
\(631\) | −14.0665 | + | 4.57049i | −0.559979 | + | 0.181948i | −0.575312 | − | 0.817934i | \(-0.695119\pi\) |
0.0153325 | + | 0.999882i | \(0.495119\pi\) | |||||||
\(632\) | −41.7559 | − | 7.94099i | −1.66096 | − | 0.315875i | ||||
\(633\) | 3.84774 | + | 2.89546i | 0.152934 | + | 0.115084i | ||||
\(634\) | 1.35521 | − | 8.02167i | 0.0538224 | − | 0.318581i | ||||
\(635\) | −22.2682 | − | 8.97518i | −0.883686 | − | 0.356169i | ||||
\(636\) | −16.2148 | − | 24.1668i | −0.642958 | − | 0.958275i | ||||
\(637\) | −48.5368 | − | 35.2641i | −1.92310 | − | 1.39721i | ||||
\(638\) | 4.44905 | − | 26.3344i | 0.176139 | − | 1.04259i | ||||
\(639\) | 12.8709 | + | 44.6612i | 0.509167 | + | 1.76677i | ||||
\(640\) | −8.20433 | − | 23.9309i | −0.324305 | − | 0.945953i | ||||
\(641\) | −20.0413 | + | 27.5845i | −0.791583 | + | 1.08952i | 0.202326 | + | 0.979318i | \(0.435150\pi\) |
−0.993909 | + | 0.110202i | \(0.964850\pi\) | |||||||
\(642\) | 3.02340 | − | 16.2322i | 0.119324 | − | 0.640632i | ||||
\(643\) | − | 4.06227i | − | 0.160200i | −0.996787 | − | 0.0801001i | \(-0.974476\pi\) | ||
0.996787 | − | 0.0801001i | \(-0.0255240\pi\) | |||||||
\(644\) | 2.54920 | − | 7.32916i | 0.100452 | − | 0.288809i | ||||
\(645\) | −28.7764 | − | 24.9389i | −1.13307 | − | 0.981966i | ||||
\(646\) | 0.138854 | + | 0.939094i | 0.00546312 | + | 0.0369482i | ||||
\(647\) | −8.68537 | + | 26.7308i | −0.341457 | + | 1.05090i | 0.621996 | + | 0.783020i | \(0.286322\pi\) |
−0.963453 | + | 0.267876i | \(0.913678\pi\) | |||||||
\(648\) | 6.42296 | − | 24.6322i | 0.252318 | − | 0.967644i | ||||
\(649\) | −2.94118 | −0.115451 | ||||||||
\(650\) | 0.244614 | + | 27.6429i | 0.00959455 | + | 1.08425i | ||||
\(651\) | 21.8861 | + | 31.2122i | 0.857784 | + | 1.22330i | ||||
\(652\) | −29.3862 | − | 0.604508i | −1.15085 | − | 0.0236743i | ||||
\(653\) | 0.961734 | + | 0.312486i | 0.0376356 | + | 0.0122285i | 0.327774 | − | 0.944756i | \(-0.393701\pi\) |
−0.290139 | + | 0.956985i | \(0.593701\pi\) | |||||||
\(654\) | 6.64657 | − | 6.29613i | 0.259901 | − | 0.246198i | ||||
\(655\) | −19.0284 | − | 15.9395i | −0.743500 | − | 0.622807i | ||||
\(656\) | 7.18484 | + | 10.7964i | 0.280521 | + | 0.421530i | ||||
\(657\) | 10.3400 | − | 28.5273i | 0.403400 | − | 1.11295i | ||||
\(658\) | 21.0986 | − | 20.6691i | 0.822510 | − | 0.805764i | ||||
\(659\) | −15.8356 | − | 11.5053i | −0.616869 | − | 0.448182i | 0.234957 | − | 0.972006i | \(-0.424505\pi\) |
−0.851827 | + | 0.523824i | \(0.824505\pi\) | |||||||
\(660\) | 19.8572 | − | 11.4220i | 0.772941 | − | 0.444603i | ||||
\(661\) | 13.7758 | − | 10.0087i | 0.535816 | − | 0.389293i | −0.286713 | − | 0.958017i | \(-0.592563\pi\) |
0.822529 | + | 0.568724i | \(0.192563\pi\) | |||||||
\(662\) | −0.241535 | + | 1.42968i | −0.00938754 | + | 0.0555659i | ||||
\(663\) | 3.76309 | + | 0.0631718i | 0.146146 | + | 0.00245339i | ||||
\(664\) | 0.464617 | + | 0.985918i | 0.0180306 | + | 0.0382610i | ||||
\(665\) | 9.78603 | + | 8.19746i | 0.379486 | + | 0.317884i | ||||
\(666\) | −9.07512 | + | 16.0319i | −0.351654 | + | 0.621224i | ||||
\(667\) | 4.98469 | − | 1.61962i | 0.193008 | − | 0.0627121i | ||||
\(668\) | −1.28067 | + | 1.68854i | −0.0495505 | + | 0.0653314i | ||||
\(669\) | 16.2013 | + | 12.1916i | 0.626377 | + | 0.471353i | ||||
\(670\) | −0.738707 | − | 1.78702i | −0.0285387 | − | 0.0690387i | ||||
\(671\) | −4.97578 | + | 15.3139i | −0.192088 | + | 0.591186i | ||||
\(672\) | −23.7910 | + | 39.7393i | −0.917756 | + | 1.53298i | ||||
\(673\) | −2.43636 | + | 1.77012i | −0.0939149 | + | 0.0682331i | −0.633752 | − | 0.773537i | \(-0.718486\pi\) |
0.539837 | + | 0.841770i | \(0.318486\pi\) | |||||||
\(674\) | 24.4339 | − | 12.1348i | 0.941160 | − | 0.467416i | ||||
\(675\) | −11.0666 | − | 23.5060i | −0.425953 | − | 0.904745i | ||||
\(676\) | 2.76025 | − | 3.63933i | 0.106163 | − | 0.139974i | ||||
\(677\) | −11.6857 | − | 16.0840i | −0.449119 | − | 0.618159i | 0.523089 | − | 0.852278i | \(-0.324780\pi\) |
−0.972208 | + | 0.234119i | \(0.924780\pi\) | |||||||
\(678\) | 10.5192 | + | 11.1047i | 0.403986 | + | 0.426472i | ||||
\(679\) | 70.1588 | + | 22.7960i | 2.69245 | + | 0.874830i | ||||
\(680\) | −1.90011 | + | 2.95749i | −0.0728657 | + | 0.113415i | ||||
\(681\) | 22.0384 | − | 29.2866i | 0.844514 | − | 1.12227i | ||||
\(682\) | −8.66153 | − | 17.4403i | −0.331667 | − | 0.667824i | ||||
\(683\) | −1.22546 | − | 3.77158i | −0.0468909 | − | 0.144315i | 0.924870 | − | 0.380284i | \(-0.124174\pi\) |
−0.971761 | + | 0.235969i | \(0.924174\pi\) | |||||||
\(684\) | −7.23561 | − | 0.392116i | −0.276661 | − | 0.0149929i | ||||
\(685\) | 2.95996 | − | 42.8465i | 0.113094 | − | 1.63708i | ||||
\(686\) | −49.4509 | − | 25.8405i | −1.88805 | − | 0.986595i | ||||
\(687\) | 0.808193 | − | 48.1434i | 0.0308345 | − | 1.83679i | ||||
\(688\) | −36.8717 | − | 13.6810i | −1.40572 | − | 0.521581i | ||||
\(689\) | 19.3052 | + | 26.5713i | 0.735468 | + | 1.01229i | ||||
\(690\) | 3.79138 | + | 2.41564i | 0.144335 | + | 0.0919619i | ||||
\(691\) | −3.57072 | + | 4.91468i | −0.135837 | + | 0.186963i | −0.871516 | − | 0.490366i | \(-0.836863\pi\) |
0.735680 | + | 0.677330i | \(0.236863\pi\) | |||||||
\(692\) | 12.8513 | − | 36.9485i | 0.488531 | − | 1.40457i | ||||
\(693\) | −39.4301 | − | 14.2918i | −1.49783 | − | 0.542900i | ||||
\(694\) | −1.21596 | − | 1.24123i | −0.0461572 | − | 0.0471164i | ||||
\(695\) | −9.04848 | − | 3.64699i | −0.343228 | − | 0.138338i | ||||
\(696\) | −31.0964 | + | 3.41689i | −1.17871 | + | 0.129517i | ||||
\(697\) | 0.556859 | − | 1.71384i | 0.0210925 | − | 0.0649162i | ||||
\(698\) | −16.5028 | + | 31.5814i | −0.624640 | + | 1.19537i | ||||
\(699\) | −10.2247 | + | 7.16962i | −0.386735 | + | 0.271180i | ||||
\(700\) | 7.32789 | + | 46.7002i | 0.276968 | + | 1.76510i | ||||
\(701\) | − | 21.6026i | − | 0.815921i | −0.913000 | − | 0.407960i | \(-0.866240\pi\) | ||
0.913000 | − | 0.407960i | \(-0.133760\pi\) | |||||||
\(702\) | −6.20549 | + | 28.0503i | −0.234211 | + | 1.05869i | ||||
\(703\) | 4.98740 | + | 1.62050i | 0.188103 | + | 0.0611184i | ||||
\(704\) | 15.0604 | − | 18.2467i | 0.567609 | − | 0.687698i | ||||
\(705\) | 8.83497 | + | 14.6538i | 0.332744 | + | 0.551893i | ||||
\(706\) | 30.5814 | − | 29.9588i | 1.15095 | − | 1.12751i | ||||
\(707\) | 2.55830 | 0.0962147 | ||||||||
\(708\) | 0.941491 | + | 3.31396i | 0.0353834 | + | 0.124546i | ||||
\(709\) | −27.4257 | − | 19.9260i | −1.02999 | − | 0.748335i | −0.0616869 | − | 0.998096i | \(-0.519648\pi\) |
−0.968308 | + | 0.249761i | \(0.919648\pi\) | |||||||
\(710\) | 47.6311 | + | 11.4714i | 1.78756 | + | 0.430513i | ||||
\(711\) | −43.3196 | + | 12.4843i | −1.62461 | + | 0.468199i | ||||
\(712\) | 19.1907 | + | 20.4129i | 0.719201 | + | 0.765007i | ||||
\(713\) | 2.24617 | − | 3.09158i | 0.0841196 | − | 0.115781i | ||||
\(714\) | 6.38153 | − | 0.834369i | 0.238823 | − | 0.0312255i | ||||
\(715\) | −21.9131 | + | 13.7184i | −0.819503 | + | 0.513039i | ||||
\(716\) | 18.1783 | − | 5.49581i | 0.679355 | − | 0.205388i | ||||
\(717\) | 14.3359 | − | 19.0509i | 0.535386 | − | 0.711469i | ||||
\(718\) | 26.6078 | − | 13.2144i | 0.992992 | − | 0.493158i | ||||
\(719\) | 12.2302 | + | 37.6406i | 0.456108 | + | 1.40376i | 0.869829 | + | 0.493353i | \(0.164229\pi\) |
−0.413721 | + | 0.910404i | \(0.635771\pi\) | |||||||
\(720\) | −19.2262 | − | 18.7178i | −0.716517 | − | 0.697569i | ||||
\(721\) | 6.65570 | − | 20.4841i | 0.247871 | − | 0.762869i | ||||
\(722\) | −3.62854 | − | 24.5405i | −0.135040 | − | 0.913305i | ||||
\(723\) | −24.8563 | − | 8.54015i | −0.924415 | − | 0.317611i | ||||
\(724\) | −23.3543 | + | 30.7922i | −0.867956 | + | 1.14438i | ||||
\(725\) | −22.1409 | + | 23.0048i | −0.822292 | + | 0.854375i | ||||
\(726\) | −4.84930 | − | 2.63855i | −0.179975 | − | 0.0979257i | ||||
\(727\) | 19.2803 | + | 26.5370i | 0.715066 | + | 0.984203i | 0.999673 | + | 0.0255594i | \(0.00813668\pi\) |
−0.284608 | + | 0.958644i | \(0.591863\pi\) | |||||||
\(728\) | 25.1560 | − | 45.8197i | 0.932343 | − | 1.69819i | ||||
\(729\) | −5.71937 | − | 26.3873i | −0.211828 | − | 0.977307i | ||||
\(730\) | −20.7550 | − | 24.3363i | −0.768175 | − | 0.900726i | ||||
\(731\) | 1.68871 | + | 5.19730i | 0.0624590 | + | 0.192229i | ||||
\(732\) | 18.8476 | + | 0.704359i | 0.696628 | + | 0.0260339i | ||||
\(733\) | 10.6589 | + | 32.8046i | 0.393694 | + | 1.21167i | 0.929974 | + | 0.367625i | \(0.119829\pi\) |
−0.536280 | + | 0.844040i | \(0.680171\pi\) | |||||||
\(734\) | −0.0917698 | + | 0.543196i | −0.00338729 | + | 0.0200497i | ||||
\(735\) | 38.9253 | − | 44.9150i | 1.43578 | − | 1.65671i | ||||
\(736\) | 4.54242 | + | 0.961063i | 0.167436 | + | 0.0354253i | ||||
\(737\) | 1.06295 | − | 1.46303i | 0.0391544 | − | 0.0538914i | ||||
\(738\) | 11.9705 | + | 6.77609i | 0.440640 | + | 0.249431i | ||||
\(739\) | −5.12509 | − | 7.05408i | −0.188530 | − | 0.259489i | 0.704281 | − | 0.709922i | \(-0.251270\pi\) |
−0.892810 | + | 0.450433i | \(0.851270\pi\) | |||||||
\(740\) | 9.96351 | + | 16.6678i | 0.366266 | + | 0.612722i | ||||
\(741\) | 8.17667 | + | 0.137263i | 0.300378 | + | 0.00504250i | ||||
\(742\) | 39.3031 | + | 40.1199i | 1.44286 | + | 1.47285i | ||||
\(743\) | 0.480665 | 0.0176339 | 0.00881694 | − | 0.999961i | \(-0.497193\pi\) | ||||
0.00881694 | + | 0.999961i | \(0.497193\pi\) | |||||||
\(744\) | −16.8782 | + | 15.3421i | −0.618784 | + | 0.562469i | ||||
\(745\) | 5.57060 | + | 8.89818i | 0.204091 | + | 0.326004i | ||||
\(746\) | −4.78717 | − | 32.3766i | −0.175271 | − | 1.18539i | ||||
\(747\) | 0.911909 | + | 0.710502i | 0.0333650 | + | 0.0259959i | ||||
\(748\) | −3.28683 | − | 0.0676139i | −0.120178 | − | 0.00247221i | ||||
\(749\) | 31.8645i | 1.16430i | ||||||||
\(750\) | −27.3052 | − | 2.10420i | −0.997044 | − | 0.0768343i | ||||
\(751\) | − | 23.7249i | − | 0.865735i | −0.901458 | − | 0.432868i | \(-0.857502\pi\) | ||
0.901458 | − | 0.432868i | \(-0.142498\pi\) | |||||||
\(752\) | 13.8579 | + | 10.9667i | 0.505345 | + | 0.399914i | ||||
\(753\) | 19.2224 | − | 5.89092i | 0.700504 | − | 0.214677i | ||||
\(754\) | 34.9257 | − | 5.16408i | 1.27192 | − | 0.188065i | ||||
\(755\) | 8.87268 | + | 14.1728i | 0.322910 | + | 0.515799i | ||||
\(756\) | −3.48136 | + | 49.0026i | −0.126616 | + | 1.78221i | ||||
\(757\) | 19.1634 | 0.696505 | 0.348252 | − | 0.937401i | \(-0.386775\pi\) | ||||
0.348252 | + | 0.937401i | \(0.386775\pi\) | |||||||
\(758\) | 20.7957 | − | 20.3723i | 0.755332 | − | 0.739954i | ||||
\(759\) | −0.0705682 | + | 4.20369i | −0.00256146 | + | 0.152584i | ||||
\(760\) | −4.12866 | + | 6.42621i | −0.149762 | + | 0.233103i | ||||
\(761\) | 0.518237 | + | 0.713292i | 0.0187861 | + | 0.0258568i | 0.818307 | − | 0.574782i | \(-0.194913\pi\) |
−0.799521 | + | 0.600639i | \(0.794913\pi\) | |||||||
\(762\) | −23.7484 | + | 11.3015i | −0.860314 | + | 0.409410i | ||||
\(763\) | −10.3851 | + | 14.2939i | −0.375968 | + | 0.517475i | ||||
\(764\) | −0.710651 | + | 34.5460i | −0.0257105 | + | 1.24983i | ||||
\(765\) | −0.381669 | + | 3.70893i | −0.0137993 | + | 0.134097i | ||||
\(766\) | 39.8013 | + | 6.72420i | 1.43808 | + | 0.242955i | ||||
\(767\) | −1.20146 | − | 3.69772i | −0.0433823 | − | 0.133517i | ||||
\(768\) | −25.3803 | − | 11.1283i | −0.915833 | − | 0.401558i | ||||
\(769\) | −4.35809 | − | 13.4128i | −0.157157 | − | 0.483679i | 0.841216 | − | 0.540699i | \(-0.181840\pi\) |
−0.998373 | + | 0.0570200i | \(0.981840\pi\) | |||||||
\(770\) | −33.6374 | + | 28.6873i | −1.21221 | + | 1.03382i | ||||
\(771\) | −0.442820 | − | 1.44495i | −0.0159478 | − | 0.0520385i | ||||
\(772\) | −3.43359 | − | 4.93633i | −0.123578 | − | 0.177662i | ||||
\(773\) | −18.3307 | − | 25.2300i | −0.659309 | − | 0.907461i | 0.340149 | − | 0.940371i | \(-0.389522\pi\) |
−0.999458 | + | 0.0329106i | \(0.989522\pi\) | |||||||
\(774\) | −41.4466 | + | 4.71292i | −1.48977 | + | 0.169402i | ||||
\(775\) | −3.20114 | + | 23.0583i | −0.114988 | + | 0.828277i | ||||
\(776\) | −8.24635 | + | 43.3616i | −0.296027 | + | 1.55659i | ||||
\(777\) | 11.5523 | − | 33.6231i | 0.414435 | − | 1.20622i | ||||
\(778\) | −18.5011 | + | 2.73556i | −0.663298 | + | 0.0980747i | ||||
\(779\) | 1.20998 | − | 3.72392i | 0.0433519 | − | 0.133423i | ||||
\(780\) | 22.4717 | + | 20.2991i | 0.804616 | + | 0.726824i | ||||
\(781\) | 14.1588 | + | 43.5763i | 0.506641 | + | 1.55928i | ||||
\(782\) | −0.286968 | − | 0.577821i | −0.0102620 | − | 0.0206629i | ||||
\(783\) | −27.7918 | + | 18.1275i | −0.993200 | + | 0.647823i | ||||
\(784\) | 21.3536 | − | 57.5505i | 0.762629 | − | 2.05537i | ||||
\(785\) | −6.12228 | + | 3.83278i | −0.218514 | + | 0.136798i | ||||
\(786\) | −26.9620 | + | 3.52521i | −0.961702 | + | 0.125740i | ||||
\(787\) | 6.00401 | − | 8.26381i | 0.214020 | − | 0.294573i | −0.688487 | − | 0.725249i | \(-0.741725\pi\) |
0.902507 | + | 0.430676i | \(0.141725\pi\) | |||||||
\(788\) | 0.971639 | + | 3.21386i | 0.0346132 | + | 0.114489i | ||||
\(789\) | 22.5600 | + | 7.75119i | 0.803157 | + | 0.275950i | ||||
\(790\) | −11.1268 | + | 46.2003i | −0.395873 | + | 1.64373i | ||||
\(791\) | −23.8814 | − | 17.3508i | −0.849124 | − | 0.616925i | ||||
\(792\) | 5.51314 | − | 24.4813i | 0.195901 | − | 0.869903i | ||||
\(793\) | −21.2856 | −0.755873 | ||||||||
\(794\) | 1.56662 | + | 1.59918i | 0.0555972 | + | 0.0567526i | ||||
\(795\) | −27.8648 | + | 16.8001i | −0.988262 | + | 0.595837i | ||||
\(796\) | 30.9998 | − | 21.5627i | 1.09876 | − | 0.764269i | ||||
\(797\) | −38.0081 | − | 12.3496i | −1.34632 | − | 0.437445i | −0.454864 | − | 0.890561i | \(-0.650312\pi\) |
−0.891452 | + | 0.453116i | \(0.850312\pi\) | |||||||
\(798\) | 13.8662 | − | 1.81297i | 0.490857 | − | 0.0641783i | ||||
\(799\) | − | 2.45562i | − | 0.0868738i | ||||||
\(800\) | −27.1681 | + | 7.86738i | −0.960537 | + | 0.278154i | ||||
\(801\) | 27.9383 | + | 10.1265i | 0.987150 | + | 0.357801i | ||||
\(802\) | −0.844486 | − | 0.441285i | −0.0298199 | − | 0.0155823i | ||||
\(803\) | 9.24346 | − | 28.4484i | 0.326195 | − | 1.00392i | ||||
\(804\) | −1.98872 | − | 0.729352i | −0.0701368 | − | 0.0257223i | ||||
\(805\) | −8.04674 | − | 3.24324i | −0.283610 | − | 0.114309i | ||||
\(806\) | 18.3882 | − | 18.0138i | 0.647696 | − | 0.634509i | ||||
\(807\) | −8.18277 | + | 5.73779i | −0.288047 | + | 0.201980i | ||||
\(808\) | 0.192706 | + | 1.51854i | 0.00677937 | + | 0.0534221i | ||||
\(809\) | 2.36317 | − | 3.25263i | 0.0830847 | − | 0.114356i | −0.765452 | − | 0.643494i | \(-0.777484\pi\) |
0.848536 | + | 0.529137i | \(0.177484\pi\) | |||||||
\(810\) | −27.1599 | − | 8.50521i | −0.954302 | − | 0.298843i | ||||
\(811\) | 29.1134 | + | 40.0711i | 1.02231 | + | 1.40709i | 0.910572 | + | 0.413350i | \(0.135641\pi\) |
0.111737 | + | 0.993738i | \(0.464359\pi\) | |||||||
\(812\) | 57.7894 | − | 17.4714i | 2.02801 | − | 0.613124i | ||||
\(813\) | 38.9630 | + | 0.654080i | 1.36649 | + | 0.0229396i | ||||
\(814\) | −8.41073 | + | 16.0956i | −0.294796 | + | 0.564151i | ||||
\(815\) | −2.26478 | + | 32.7836i | −0.0793319 | + | 1.14836i | ||||
\(816\) | 0.975954 | + | 3.72507i | 0.0341652 | + | 0.130403i | ||||
\(817\) | 3.66932 | + | 11.2930i | 0.128373 | + | 0.395092i | ||||
\(818\) | −15.1701 | + | 7.53403i | −0.530409 | + | 0.263421i | ||||
\(819\) | 1.86090 | − | 55.4107i | 0.0650253 | − | 1.93621i | ||||
\(820\) | 12.4453 | − | 7.43942i | 0.434610 | − | 0.259796i | ||||
\(821\) | −39.6675 | − | 12.8888i | −1.38441 | − | 0.449821i | −0.480291 | − | 0.877109i | \(-0.659469\pi\) |
−0.904116 | + | 0.427288i | \(0.859469\pi\) | |||||||
\(822\) | −32.3552 | − | 34.1561i | −1.12852 | − | 1.19133i | ||||
\(823\) | −2.29773 | − | 3.16256i | −0.0800939 | − | 0.110240i | 0.767090 | − | 0.641539i | \(-0.221704\pi\) |
−0.847184 | + | 0.531300i | \(0.821704\pi\) | |||||||
\(824\) | 12.6602 | + | 2.40767i | 0.441039 | + | 0.0838751i | ||||
\(825\) | −11.6811 | − | 22.7929i | −0.406682 | − | 0.793548i | ||||
\(826\) | −2.95730 | − | 5.95463i | −0.102898 | − | 0.207188i | ||||
\(827\) | −20.3092 | + | 14.7555i | −0.706221 | + | 0.513100i | −0.881952 | − | 0.471338i | \(-0.843771\pi\) |
0.175731 | + | 0.984438i | \(0.443771\pi\) | |||||||
\(828\) | 4.75908 | − | 1.26612i | 0.165389 | − | 0.0440006i | ||||
\(829\) | −0.455407 | + | 1.40160i | −0.0158169 | + | 0.0486795i | −0.958653 | − | 0.284576i | \(-0.908147\pi\) |
0.942837 | + | 0.333256i | \(0.108147\pi\) | |||||||
\(830\) | 1.12613 | − | 0.465513i | 0.0390887 | − | 0.0161582i | ||||
\(831\) | −0.632660 | + | 0.840735i | −0.0219467 | + | 0.0291648i | ||||
\(832\) | 29.0923 | + | 11.4805i | 1.00859 | + | 0.398016i | ||||
\(833\) | −8.11210 | + | 2.63578i | −0.281068 | + | 0.0913244i | ||||
\(834\) | −9.64996 | + | 4.59226i | −0.334151 | + | 0.159017i | ||||
\(835\) | 1.81635 | + | 1.52150i | 0.0628573 | + | 0.0526536i | ||||
\(836\) | −7.14182 | − | 0.146915i | −0.247005 | − | 0.00508118i | ||||
\(837\) | −8.62462 | + | 22.6031i | −0.298110 | + | 0.781278i | ||||
\(838\) | 7.17867 | + | 1.21279i | 0.247983 | + | 0.0418953i | ||||
\(839\) | 37.4142 | − | 27.1830i | 1.29168 | − | 0.938463i | 0.291845 | − | 0.956466i | \(-0.405731\pi\) |
0.999838 | + | 0.0180031i | \(0.00573088\pi\) | |||||||
\(840\) | 43.0908 | + | 28.7177i | 1.48678 | + | 0.990856i | ||||
\(841\) | 9.52819 | + | 6.92264i | 0.328558 | + | 0.238712i | ||||
\(842\) | −10.1770 | − | 10.3885i | −0.350724 | − | 0.358013i | ||||
\(843\) | 44.4130 | − | 31.1426i | 1.52967 | − | 1.07261i | ||||
\(844\) | 1.82667 | − | 5.25182i | 0.0628765 | − | 0.180775i | ||||
\(845\) | −3.91481 | − | 3.27931i | −0.134673 | − | 0.112812i | ||||
\(846\) | 18.3672 | + | 3.74109i | 0.631476 | + | 0.128621i | ||||
\(847\) | 10.1326 | + | 3.29229i | 0.348161 | + | 0.113124i | ||||
\(848\) | −20.8536 | + | 26.3514i | −0.716116 | + | 0.904910i | ||||
\(849\) | −6.83383 | + | 4.79190i | −0.234536 | + | 0.164458i | ||||
\(850\) | 3.19991 | + | 2.28189i | 0.109756 | + | 0.0782681i | ||||
\(851\) | −3.56392 | −0.122170 | ||||||||
\(852\) | 44.5670 | − | 29.9024i | 1.52684 | − | 1.02444i | ||||
\(853\) | 10.9501 | − | 33.7010i | 0.374924 | − | 1.15390i | −0.568605 | − | 0.822610i | \(-0.692517\pi\) |
0.943530 | − | 0.331288i | \(-0.107483\pi\) | |||||||
\(854\) | −36.0071 | + | 5.32398i | −1.23214 | + | 0.182183i | ||||
\(855\) | −0.829313 | + | 8.05897i | −0.0283619 | + | 0.275611i | ||||
\(856\) | −18.9140 | + | 2.40022i | −0.646466 | + | 0.0820377i | ||||
\(857\) | − | 45.5905i | − | 1.55734i | −0.627433 | − | 0.778671i | \(-0.715894\pi\) | ||
0.627433 | − | 0.778671i | \(-0.284106\pi\) | |||||||
\(858\) | −5.18579 | + | 27.8417i | −0.177040 | + | 0.950500i | ||||
\(859\) | 5.53094 | − | 7.61269i | 0.188713 | − | 0.259742i | −0.704168 | − | 0.710033i | \(-0.748680\pi\) |
0.892882 | + | 0.450291i | \(0.148680\pi\) | |||||||
\(860\) | −17.2725 | + | 40.4355i | −0.588988 | + | 1.37884i | ||||
\(861\) | −25.1053 | − | 8.62569i | −0.855585 | − | 0.293963i | ||||
\(862\) | 1.69466 | + | 0.286303i | 0.0577205 | + | 0.00975153i | ||||
\(863\) | 28.3473 | + | 20.5955i | 0.964954 | + | 0.701080i | 0.954296 | − | 0.298863i | \(-0.0966075\pi\) |
0.0106577 | + | 0.999943i | \(0.496607\pi\) | |||||||
\(864\) | −29.3489 | + | 1.62472i | −0.998471 | + | 0.0552739i | ||||
\(865\) | −40.5660 | − | 16.3501i | −1.37929 | − | 0.555921i | ||||
\(866\) | 40.4910 | + | 6.84071i | 1.37594 | + | 0.232457i | ||||
\(867\) | −17.3829 | + | 23.1000i | −0.590355 | + | 0.784517i | ||||
\(868\) | 26.6002 | − | 35.0718i | 0.902870 | − | 1.19042i | ||||
\(869\) | −42.2673 | + | 13.7335i | −1.43382 | + | 0.465876i | ||||
\(870\) | 2.13349 | + | 34.9109i | 0.0723322 | + | 1.18359i | ||||
\(871\) | 2.27357 | + | 0.738727i | 0.0770370 | + | 0.0250308i | ||||
\(872\) | −9.26678 | − | 5.08766i | −0.313813 | − | 0.172290i | ||||
\(873\) | 12.9644 | + | 44.9854i | 0.438778 | + | 1.52252i | ||||
\(874\) | −0.623542 | − | 1.25552i | −0.0210916 | − | 0.0424687i | ||||
\(875\) | 52.5477 | − | 5.65688i | 1.77644 | − | 0.191237i | ||||
\(876\) | −35.0131 | − | 1.30848i | −1.18298 | − | 0.0442095i | ||||
\(877\) | 29.8645 | − | 21.6978i | 1.00845 | − | 0.732684i | 0.0445692 | − | 0.999006i | \(-0.485808\pi\) |
0.963884 | + | 0.266322i | \(0.0858085\pi\) | |||||||
\(878\) | 9.24834 | − | 1.36745i | 0.312116 | − | 0.0461492i | ||||
\(879\) | −14.8655 | − | 48.5069i | −0.501400 | − | 1.63610i | ||||
\(880\) | −19.5618 | − | 17.8054i | −0.659428 | − | 0.600219i | ||||
\(881\) | −35.4501 | + | 11.5184i | −1.19434 | + | 0.388066i | −0.837677 | − | 0.546166i | \(-0.816087\pi\) |
−0.356666 | + | 0.934232i | \(0.616087\pi\) | |||||||
\(882\) | −7.35605 | − | 64.6910i | −0.247691 | − | 2.17826i | ||||
\(883\) | −9.25857 | + | 3.00829i | −0.311576 | + | 0.101237i | −0.460631 | − | 0.887592i | \(-0.652377\pi\) |
0.149055 | + | 0.988829i | \(0.452377\pi\) | |||||||
\(884\) | −1.25765 | − | 4.15990i | −0.0422995 | − | 0.139913i | ||||
\(885\) | 3.75171 | − | 0.872109i | 0.126112 | − | 0.0293156i | ||||
\(886\) | 22.1288 | − | 42.3478i | 0.743430 | − | 1.42270i | ||||
\(887\) | −13.4889 | − | 9.80028i | −0.452914 | − | 0.329061i | 0.337831 | − | 0.941207i | \(-0.390307\pi\) |
−0.790745 | + | 0.612146i | \(0.790307\pi\) | |||||||
\(888\) | 20.8280 | + | 4.32444i | 0.698942 | + | 0.145119i | ||||
\(889\) | 41.0625 | − | 29.8336i | 1.37719 | − | 1.00059i | ||||
\(890\) | 23.8338 | − | 20.3264i | 0.798910 | − | 0.681343i | ||||
\(891\) | −6.50808 | − | 25.8087i | −0.218029 | − | 0.864623i | ||||
\(892\) | 7.69134 | − | 22.1133i | 0.257525 | − | 0.740407i | ||||
\(893\) | − | 5.33573i | − | 0.178553i | ||||||
\(894\) | 11.3056 | + | 2.10578i | 0.378116 | + | 0.0704277i | ||||
\(895\) | −5.15391 | − | 20.5975i | −0.172276 | − | 0.688498i | ||||
\(896\) | 52.0847 | + | 12.1441i | 1.74003 | + | 0.405707i | ||||
\(897\) | −5.31381 | + | 1.62847i | −0.177423 | + | 0.0543732i | ||||
\(898\) | 3.01966 | + | 1.57792i | 0.100767 | + | 0.0526559i | ||||
\(899\) | 29.7312 | 0.991590 | ||||||||
\(900\) | −21.9427 | + | 20.4578i | −0.731422 | + | 0.681925i | ||||
\(901\) | 4.66948 | 0.155563 | ||||||||
\(902\) | 12.0181 | + | 6.28002i | 0.400158 | + | 0.209102i | ||||
\(903\) | 76.9682 | − | 23.5877i | 2.56134 | − | 0.784951i | ||||
\(904\) | 8.50013 | − | 15.4823i | 0.282710 | − | 0.514935i | ||||
\(905\) | 33.1230 | + | 27.7461i | 1.10104 | + | 0.922312i | ||||
\(906\) | 18.0072 | + | 3.35402i | 0.598250 | + | 0.111430i | ||||
\(907\) | 51.1519i | 1.69847i | 0.528015 | + | 0.849235i | \(0.322936\pi\) | ||||
−0.528015 | + | 0.849235i | \(0.677064\pi\) | |||||||
\(908\) | −39.9736 | − | 13.9035i | −1.32657 | − | 0.461402i | ||||
\(909\) | 0.909687 | + | 1.34479i | 0.0301724 | + | 0.0446039i | ||||
\(910\) | −49.8071 | − | 30.5710i | −1.65109 | − | 1.01342i | ||||
\(911\) | 26.1140 | − | 18.9729i | 0.865194 | − | 0.628600i | −0.0640988 | − | 0.997944i | \(-0.520417\pi\) |
0.929293 | + | 0.369343i | \(0.120417\pi\) | |||||||
\(912\) | 2.12061 | + | 8.09404i | 0.0702204 | + | 0.268020i | ||||
\(913\) | 0.921962 | + | 0.669844i | 0.0305125 | + | 0.0221686i | ||||
\(914\) | 0.223630 | − | 0.427961i | 0.00739702 | − | 0.0141557i | ||||
\(915\) | 1.80618 | − | 21.0095i | 0.0597106 | − | 0.694553i | ||||
\(916\) | −53.2200 | + | 16.0899i | −1.75844 | + | 0.531625i | ||||
\(917\) | 49.9073 | − | 16.2159i | 1.64808 | − | 0.535495i | ||||
\(918\) | 2.70776 | + | 3.05781i | 0.0893693 | + | 0.100923i | ||||
\(919\) | −27.0159 | + | 8.77801i | −0.891173 | + | 0.289560i | −0.718589 | − | 0.695435i | \(-0.755212\pi\) |
−0.172584 | + | 0.984995i | \(0.555212\pi\) | |||||||
\(920\) | 1.31898 | − | 5.02064i | 0.0434853 | − | 0.165526i | ||||
\(921\) | −0.323554 | − | 1.05578i | −0.0106615 | − | 0.0347890i | ||||
\(922\) | −33.7466 | + | 4.98974i | −1.11139 | + | 0.164328i | ||||
\(923\) | −49.0013 | + | 35.6015i | −1.61290 | + | 1.17184i | ||||
\(924\) | −1.80857 | + | 48.3947i | −0.0594976 | + | 1.59207i | ||||
\(925\) | 19.1524 | − | 10.2248i | 0.629727 | − | 0.336190i | ||||
\(926\) | −6.57598 | − | 13.2410i | −0.216100 | − | 0.435125i | ||||
\(927\) | 13.1343 | − | 3.78519i | 0.431387 | − | 0.124322i | ||||
\(928\) | 14.7236 | + | 32.9863i | 0.483325 | + | 1.08283i | ||||
\(929\) | 17.8805 | + | 5.80972i | 0.586639 | + | 0.190611i | 0.587273 | − | 0.809389i | \(-0.300202\pi\) |
−0.000633358 | 1.00000i | \(0.500202\pi\) | ||||||||
\(930\) | 16.2198 | + | 19.6782i | 0.531870 | + | 0.645275i | ||||
\(931\) | −17.6264 | + | 5.72718i | −0.577683 | + | 0.187701i | ||||
\(932\) | 11.4891 | + | 8.71391i | 0.376338 | + | 0.285434i | ||||
\(933\) | −24.2835 | + | 32.2701i | −0.795006 | + | 1.05648i | ||||
\(934\) | −7.81379 | − | 1.32009i | −0.255675 | − | 0.0431948i | ||||
\(935\) | −0.253315 | + | 3.66683i | −0.00828429 | + | 0.119918i | ||||
\(936\) | 33.0305 | − | 3.06927i | 1.07964 | − | 0.100322i | ||||
\(937\) | 27.4672 | + | 19.9561i | 0.897315 | + | 0.651937i | 0.937775 | − | 0.347244i | \(-0.112882\pi\) |
−0.0404600 | + | 0.999181i | \(0.512882\pi\) | |||||||
\(938\) | 4.03079 | + | 0.680978i | 0.131610 | + | 0.0222347i | ||||
\(939\) | −38.5309 | − | 13.2385i | −1.25741 | − | 0.432022i | ||||
\(940\) | 12.9964 | − | 14.8822i | 0.423897 | − | 0.485403i | ||||
\(941\) | 21.7929 | − | 29.9953i | 0.710427 | − | 0.977819i | −0.289361 | − | 0.957220i | \(-0.593443\pi\) |
0.999788 | − | 0.0205986i | \(-0.00655721\pi\) | |||||||
\(942\) | −1.44885 | + | 7.77868i | −0.0472062 | + | 0.253443i | ||||
\(943\) | 2.66106i | 0.0866561i | ||||||||
\(944\) | 3.31175 | − | 2.20391i | 0.107788 | − | 0.0717313i | ||||
\(945\) | 54.5341 | + | 6.53863i | 1.77399 | + | 0.212702i | ||||
\(946\) | −40.6790 | + | 6.01477i | −1.32259 | + | 0.195557i | ||||
\(947\) | −14.6026 | + | 44.9422i | −0.474521 | + | 1.46043i | 0.372081 | + | 0.928200i | \(0.378644\pi\) |
−0.846602 | + | 0.532226i | \(0.821356\pi\) | |||||||
\(948\) | 29.0042 | + | 43.2283i | 0.942012 | + | 1.40399i | ||||
\(949\) | 39.5420 | 1.28359 | ||||||||
\(950\) | 6.95296 | + | 4.95822i | 0.225584 | + | 0.160866i | ||||
\(951\) | −8.15798 | + | 5.72040i | −0.264541 | + | 0.185497i | ||||
\(952\) | −3.16796 | − | 6.72242i | −0.102674 | − | 0.217875i | ||||
\(953\) | −24.1777 | − | 7.85580i | −0.783192 | − | 0.254474i | −0.109989 | − | 0.993933i | \(-0.535082\pi\) |
−0.673202 | + | 0.739458i | \(0.735082\pi\) | |||||||
\(954\) | −7.11384 | + | 34.9259i | −0.230319 | + | 1.13077i | ||||
\(955\) | 38.5399 | + | 2.66245i | 1.24712 | + | 0.0861549i | ||||
\(956\) | −26.0028 | − | 9.04417i | −0.840990 | − | 0.292509i | ||||
\(957\) | −26.7819 | + | 18.7796i | −0.865737 | + | 0.607057i | ||||
\(958\) | 13.7505 | + | 14.0363i | 0.444260 | + | 0.453493i | ||||
\(959\) | 73.4552 | + | 53.3684i | 2.37199 | + | 1.72335i | ||||
\(960\) | −13.8003 | + | 27.7408i | −0.445402 | + | 0.895331i | ||||
\(961\) | −7.54229 | + | 5.47979i | −0.243300 | + | 0.176767i | ||||
\(962\) | −23.6716 | − | 3.99917i | −0.763202 | − | 0.128938i | ||||
\(963\) | −16.7498 | + | 11.3305i | −0.539755 | + | 0.365119i | ||||
\(964\) | −0.624170 | + | 30.3420i | −0.0201031 | + | 0.977249i | ||||
\(965\) | −5.69827 | + | 3.56733i | −0.183434 | + | 0.114836i | ||||
\(966\) | −8.58164 | + | 4.08386i | −0.276110 | + | 0.131396i | ||||
\(967\) | 40.2535 | − | 13.0791i | 1.29446 | − | 0.420597i | 0.420812 | − | 0.907148i | \(-0.361745\pi\) |
0.873652 | + | 0.486551i | \(0.161745\pi\) | |||||||
\(968\) | −1.19097 | + | 6.26247i | −0.0382793 | + | 0.201283i | ||||
\(969\) | 0.699083 | − | 0.929005i | 0.0224578 | − | 0.0298439i | ||||
\(970\) | 47.9769 | + | 11.5546i | 1.54044 | + | 0.370997i | ||||
\(971\) | 0.754649 | − | 2.32257i | 0.0242178 | − | 0.0745349i | −0.938217 | − | 0.346047i | \(-0.887524\pi\) |
0.962435 | + | 0.271512i | \(0.0875237\pi\) | |||||||
\(972\) | −26.9965 | + | 15.5945i | −0.865914 | + | 0.500193i | ||||
\(973\) | 16.6854 | − | 12.1226i | 0.534908 | − | 0.388634i | ||||
\(974\) | 13.8203 | + | 27.8276i | 0.442830 | + | 0.891654i | ||||
\(975\) | 23.8842 | − | 23.9966i | 0.764905 | − | 0.768505i | ||||
\(976\) | −5.87244 | − | 20.9719i | −0.187972 | − | 0.671294i | ||||
\(977\) | 1.03356 | + | 1.42258i | 0.0330667 | + | 0.0455123i | 0.825230 | − | 0.564797i | \(-0.191045\pi\) |
−0.792164 | + | 0.610309i | \(0.791045\pi\) | |||||||
\(978\) | 24.7563 | + | 26.1342i | 0.791618 | + | 0.835679i | ||||
\(979\) | 27.8611 | + | 9.05261i | 0.890443 | + | 0.289323i | ||||
\(980\) | −63.1129 | − | 26.9594i | −2.01607 | − | 0.861188i | ||||
\(981\) | −11.2065 | − | 0.376357i | −0.357796 | − | 0.0120162i | ||||
\(982\) | −15.9356 | + | 7.91423i | −0.508525 | + | 0.252553i | ||||
\(983\) | −6.68084 | − | 20.5615i | −0.213086 | − | 0.655811i | −0.999284 | − | 0.0378362i | \(-0.987954\pi\) |
0.786198 | − | 0.617974i | \(-0.212046\pi\) | |||||||
\(984\) | 3.22892 | − | 15.5516i | 0.102934 | − | 0.495766i | ||||
\(985\) | 3.64156 | − | 0.911192i | 0.116030 | − | 0.0290330i | ||||
\(986\) | 2.32465 | − | 4.44868i | 0.0740319 | − | 0.141675i | ||||
\(987\) | −36.1687 | − | 0.607171i | −1.15126 | − | 0.0193265i | ||||
\(988\) | −2.73271 | − | 9.03888i | −0.0869389 | − | 0.287565i | ||||
\(989\) | −4.74332 | − | 6.52862i | −0.150829 | − | 0.207598i | ||||
\(990\) | −27.0406 | − | 7.48103i | −0.859406 | − | 0.237763i | ||||
\(991\) | 19.3390 | − | 26.6179i | 0.614324 | − | 0.845545i | −0.382600 | − | 0.923914i | \(-0.624971\pi\) |
0.996924 | + | 0.0783692i | \(0.0249713\pi\) | |||||||
\(992\) | 22.8214 | + | 13.1474i | 0.724581 | + | 0.417430i | ||||
\(993\) | 1.45397 | − | 1.01953i | 0.0461403 | − | 0.0323538i | ||||
\(994\) | −73.9870 | + | 72.4806i | −2.34672 | + | 2.29895i | ||||
\(995\) | −22.4026 | − | 35.7847i | −0.710209 | − | 1.13445i | ||||
\(996\) | 0.459618 | − | 1.25324i | 0.0145635 | − | 0.0397104i | ||||
\(997\) | −3.17520 | + | 9.77226i | −0.100560 | + | 0.309490i | −0.988663 | − | 0.150154i | \(-0.952023\pi\) |
0.888103 | + | 0.459644i | \(0.152023\pi\) | |||||||
\(998\) | −14.6302 | − | 7.64498i | −0.463111 | − | 0.241998i | ||||
\(999\) | 21.7820 | − | 5.88326i | 0.689153 | − | 0.186138i |
(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 | 300.2.n.a.11.20 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.37 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.54 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.3 | ✓ | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.3 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.54 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.37 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.20 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.3 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.20 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.37 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.11.54 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.191.3 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.20 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.37 | yes | 224 | 100.91 | odd | 10 | inner | |
300.2.n.a.191.54 | yes | 224 | 75.41 | odd | 10 | inner |