Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(7,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 0, 19]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.m (of order \(22\), degree \(10\), 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: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 79.23 | ||
Character | \(\chi\) | \(=\) | 276.79 |
Dual form | 276.2.m.a.7.23 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{3}{22}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.38169 | + | 0.301558i | 0.977001 | + | 0.213234i | ||||
\(3\) | −0.540641 | + | 0.841254i | −0.312139 | + | 0.485698i | ||||
\(4\) | 1.81813 | + | 0.833319i | 0.909063 | + | 0.416659i | ||||
\(5\) | −1.98780 | − | 0.907796i | −0.888969 | − | 0.405979i | −0.0820414 | − | 0.996629i | \(-0.526144\pi\) |
−0.806928 | + | 0.590650i | \(0.798871\pi\) | |||||||
\(6\) | −1.00068 | + | 0.999316i | −0.408527 | + | 0.407969i | ||||
\(7\) | 4.66467 | + | 1.36967i | 1.76308 | + | 0.517687i | 0.992775 | − | 0.119988i | \(-0.0382856\pi\) |
0.770305 | + | 0.637675i | \(0.220104\pi\) | |||||||
\(8\) | 2.26079 | + | 1.69966i | 0.799310 | + | 0.600919i | ||||
\(9\) | −0.415415 | − | 0.909632i | −0.138472 | − | 0.303211i | ||||
\(10\) | −2.47276 | − | 1.85373i | −0.781955 | − | 0.586200i | ||||
\(11\) | −2.33009 | + | 2.68907i | −0.702550 | + | 0.810786i | −0.989095 | − | 0.147281i | \(-0.952948\pi\) |
0.286545 | + | 0.958067i | \(0.407493\pi\) | |||||||
\(12\) | −1.68398 | + | 1.07898i | −0.486125 | + | 0.311474i | ||||
\(13\) | 1.24547 | − | 0.365703i | 0.345431 | − | 0.101428i | −0.104415 | − | 0.994534i | \(-0.533297\pi\) |
0.449846 | + | 0.893106i | \(0.351479\pi\) | |||||||
\(14\) | 6.03209 | + | 3.29913i | 1.61214 | + | 0.881729i | ||||
\(15\) | 1.83837 | − | 1.18145i | 0.474665 | − | 0.305049i | ||||
\(16\) | 2.61116 | + | 3.03016i | 0.652790 | + | 0.757539i | ||||
\(17\) | −3.96838 | + | 0.570567i | −0.962474 | + | 0.138383i | −0.605600 | − | 0.795770i | \(-0.707067\pi\) |
−0.356874 | + | 0.934152i | \(0.616158\pi\) | |||||||
\(18\) | −0.299667 | − | 1.38210i | −0.0706322 | − | 0.325764i | ||||
\(19\) | 0.618827 | − | 4.30403i | 0.141969 | − | 0.987413i | −0.786920 | − | 0.617055i | \(-0.788326\pi\) |
0.928889 | − | 0.370359i | \(-0.120765\pi\) | |||||||
\(20\) | −2.85758 | − | 3.30695i | −0.638974 | − | 0.739457i | ||||
\(21\) | −3.67415 | + | 3.18367i | −0.801766 | + | 0.694734i | ||||
\(22\) | −4.03037 | + | 3.01280i | −0.859279 | + | 0.642331i | ||||
\(23\) | 4.40930 | + | 1.88629i | 0.919402 | + | 0.393319i | ||||
\(24\) | −2.65212 | + | 0.982993i | −0.541361 | + | 0.200653i | ||||
\(25\) | −0.147067 | − | 0.169724i | −0.0294134 | − | 0.0339449i | ||||
\(26\) | 1.83113 | − | 0.129706i | 0.359115 | − | 0.0254374i | ||||
\(27\) | 0.989821 | + | 0.142315i | 0.190491 | + | 0.0273885i | ||||
\(28\) | 7.33959 | + | 6.37739i | 1.38705 | + | 1.20521i | ||||
\(29\) | −0.820726 | − | 5.70828i | −0.152405 | − | 1.06000i | −0.912173 | − | 0.409806i | \(-0.865596\pi\) |
0.759768 | − | 0.650195i | \(-0.225313\pi\) | |||||||
\(30\) | 2.89633 | − | 1.07802i | 0.528795 | − | 0.196818i | ||||
\(31\) | −3.68171 | − | 5.72885i | −0.661254 | − | 1.02893i | −0.996234 | − | 0.0867066i | \(-0.972366\pi\) |
0.334979 | − | 0.942225i | \(-0.391271\pi\) | |||||||
\(32\) | 2.69404 | + | 4.97415i | 0.476244 | + | 0.879313i | ||||
\(33\) | −1.00245 | − | 3.41402i | −0.174504 | − | 0.594305i | ||||
\(34\) | −5.65513 | − | 0.408351i | −0.969846 | − | 0.0700317i | ||||
\(35\) | −8.02903 | − | 6.95720i | −1.35715 | − | 1.17598i | ||||
\(36\) | 0.00273656 | − | 2.00000i | 0.000456094 | − | 0.333333i | ||||
\(37\) | −6.57344 | + | 3.00199i | −1.08067 | + | 0.493524i | −0.874516 | − | 0.484996i | \(-0.838821\pi\) |
−0.206151 | + | 0.978520i | \(0.566094\pi\) | |||||||
\(38\) | 2.15294 | − | 5.76022i | 0.349253 | − | 0.934431i | ||||
\(39\) | −0.365703 | + | 1.24547i | −0.0585593 | + | 0.199435i | ||||
\(40\) | −2.95104 | − | 5.43090i | −0.466601 | − | 0.858701i | ||||
\(41\) | 5.12081 | − | 11.2130i | 0.799736 | − | 1.75118i | 0.153341 | − | 0.988173i | \(-0.450997\pi\) |
0.646394 | − | 0.763003i | \(-0.276276\pi\) | |||||||
\(42\) | −6.03660 | + | 3.29087i | −0.931467 | + | 0.507793i | ||||
\(43\) | −5.98696 | − | 3.84759i | −0.913003 | − | 0.586751i | −0.00238346 | − | 0.999997i | \(-0.500759\pi\) |
−0.910620 | + | 0.413246i | \(0.864395\pi\) | |||||||
\(44\) | −6.47726 | + | 2.94736i | −0.976483 | + | 0.444331i | ||||
\(45\) | 2.18527i | 0.325761i | ||||||||
\(46\) | 5.52345 | + | 3.93592i | 0.814388 | + | 0.580320i | ||||
\(47\) | 1.24439i | 0.181512i | 0.995873 | + | 0.0907561i | \(0.0289284\pi\) | ||||
−0.995873 | + | 0.0907561i | \(0.971072\pi\) | |||||||
\(48\) | −3.96083 | + | 0.558422i | −0.571696 | + | 0.0806013i | ||||
\(49\) | 13.9944 | + | 8.99366i | 1.99920 | + | 1.28481i | ||||
\(50\) | −0.152019 | − | 0.278855i | −0.0214987 | − | 0.0394361i | ||||
\(51\) | 1.66548 | − | 3.64689i | 0.233214 | − | 0.510666i | ||||
\(52\) | 2.56917 | + | 0.372979i | 0.356279 | + | 0.0517229i | ||||
\(53\) | −0.416712 | + | 1.41919i | −0.0572398 | + | 0.194941i | −0.983149 | − | 0.182805i | \(-0.941482\pi\) |
0.925909 | + | 0.377746i | \(0.123301\pi\) | |||||||
\(54\) | 1.32471 | + | 0.495123i | 0.180270 | + | 0.0673778i | ||||
\(55\) | 7.07288 | − | 3.23007i | 0.953706 | − | 0.435543i | ||||
\(56\) | 8.21787 | + | 11.0249i | 1.09816 | + | 1.47326i | ||||
\(57\) | 3.28622 | + | 2.84753i | 0.435271 | + | 0.377164i | ||||
\(58\) | 0.587389 | − | 8.13456i | 0.0771279 | − | 1.06812i | ||||
\(59\) | 1.60544 | + | 5.46763i | 0.209011 | + | 0.711825i | 0.995546 | + | 0.0942793i | \(0.0300547\pi\) |
−0.786535 | + | 0.617546i | \(0.788127\pi\) | |||||||
\(60\) | 4.32691 | − | 0.616074i | 0.558602 | − | 0.0795348i | ||||
\(61\) | −5.55993 | − | 8.65142i | −0.711876 | − | 1.10770i | −0.989150 | − | 0.146910i | \(-0.953067\pi\) |
0.277274 | − | 0.960791i | \(-0.410569\pi\) | |||||||
\(62\) | −3.35939 | − | 9.02574i | −0.426643 | − | 1.14627i | ||||
\(63\) | −0.691878 | − | 4.81212i | −0.0871685 | − | 0.606270i | ||||
\(64\) | 2.22233 | + | 7.68513i | 0.277792 | + | 0.960641i | ||||
\(65\) | −2.80772 | − | 0.403690i | −0.348255 | − | 0.0500715i | ||||
\(66\) | −0.355544 | − | 5.01941i | −0.0437644 | − | 0.617847i | ||||
\(67\) | 7.73898 | + | 8.93126i | 0.945467 | + | 1.09113i | 0.995723 | + | 0.0923903i | \(0.0294508\pi\) |
−0.0502562 | + | 0.998736i | \(0.516004\pi\) | |||||||
\(68\) | −7.69048 | − | 2.26956i | −0.932608 | − | 0.275225i | ||||
\(69\) | −3.97069 | + | 2.68953i | −0.478015 | + | 0.323782i | ||||
\(70\) | −8.99562 | − | 12.0339i | −1.07518 | − | 1.43833i | ||||
\(71\) | −3.30433 | + | 2.86322i | −0.392152 | + | 0.339802i | −0.828513 | − | 0.559970i | \(-0.810813\pi\) |
0.436361 | + | 0.899772i | \(0.356267\pi\) | |||||||
\(72\) | 0.606897 | − | 2.76255i | 0.0715235 | − | 0.325570i | ||||
\(73\) | −0.0910248 | + | 0.633092i | −0.0106537 | + | 0.0740978i | −0.994455 | − | 0.105166i | \(-0.966463\pi\) |
0.983801 | + | 0.179264i | \(0.0573716\pi\) | |||||||
\(74\) | −9.98772 | + | 2.16554i | −1.16105 | + | 0.251739i | ||||
\(75\) | 0.222292 | − | 0.0319607i | 0.0256680 | − | 0.00369050i | ||||
\(76\) | 4.71174 | − | 7.30959i | 0.540473 | − | 0.838468i | ||||
\(77\) | −14.5523 | + | 9.35218i | −1.65839 | + | 1.06578i | ||||
\(78\) | −0.880869 | + | 1.61057i | −0.0997388 | + | 0.182361i | ||||
\(79\) | −3.48038 | + | 1.02193i | −0.391573 | + | 0.114976i | −0.471592 | − | 0.881817i | \(-0.656320\pi\) |
0.0800183 | + | 0.996793i | \(0.474502\pi\) | |||||||
\(80\) | −2.43969 | − | 8.39373i | −0.272766 | − | 0.938447i | ||||
\(81\) | −0.654861 | + | 0.755750i | −0.0727623 | + | 0.0839722i | ||||
\(82\) | 10.4567 | − | 13.9487i | 1.15475 | − | 1.54037i | ||||
\(83\) | −2.11994 | − | 4.64203i | −0.232694 | − | 0.509528i | 0.756880 | − | 0.653554i | \(-0.226723\pi\) |
−0.989574 | + | 0.144025i | \(0.953995\pi\) | |||||||
\(84\) | −9.33309 | + | 2.72658i | −1.01832 | + | 0.297494i | ||||
\(85\) | 8.40629 | + | 2.46831i | 0.911790 | + | 0.267726i | ||||
\(86\) | −7.11184 | − | 7.12158i | −0.766890 | − | 0.767940i | ||||
\(87\) | 5.24583 | + | 2.39569i | 0.562412 | + | 0.256845i | ||||
\(88\) | −9.83835 | + | 2.11906i | −1.04877 | + | 0.225893i | ||||
\(89\) | −2.01147 | + | 3.12990i | −0.213215 | + | 0.331769i | −0.931344 | − | 0.364141i | \(-0.881363\pi\) |
0.718129 | + | 0.695910i | \(0.244999\pi\) | |||||||
\(90\) | −0.658987 | + | 3.01937i | −0.0694633 | + | 0.318269i | ||||
\(91\) | 6.31060 | 0.661531 | ||||||||
\(92\) | 6.44478 | + | 7.10386i | 0.671914 | + | 0.740629i | ||||
\(93\) | 6.80990 | 0.706154 | ||||||||
\(94\) | −0.375254 | + | 1.71935i | −0.0387045 | + | 0.177338i | ||||
\(95\) | −5.13728 | + | 7.99377i | −0.527074 | + | 0.820144i | ||||
\(96\) | −5.64103 | − | 0.422854i | −0.575735 | − | 0.0431574i | ||||
\(97\) | 6.15382 | + | 2.81035i | 0.624825 | + | 0.285348i | 0.702558 | − | 0.711626i | \(-0.252041\pi\) |
−0.0777332 | + | 0.996974i | \(0.524768\pi\) | |||||||
\(98\) | 16.6238 | + | 16.6466i | 1.67926 | + | 1.68156i | ||||
\(99\) | 3.41402 | + | 1.00245i | 0.343122 | + | 0.100750i | ||||
\(100\) | −0.125952 | − | 0.431134i | −0.0125952 | − | 0.0431134i | ||||
\(101\) | 1.88634 | + | 4.13051i | 0.187698 | + | 0.411002i | 0.979964 | − | 0.199174i | \(-0.0638260\pi\) |
−0.792266 | + | 0.610176i | \(0.791099\pi\) | |||||||
\(102\) | 3.40092 | − | 4.53662i | 0.336741 | − | 0.449193i | ||||
\(103\) | −9.14322 | + | 10.5518i | −0.900908 | + | 1.03970i | 0.0981002 | + | 0.995177i | \(0.468723\pi\) |
−0.999008 | + | 0.0445267i | \(0.985822\pi\) | |||||||
\(104\) | 3.43731 | + | 1.29009i | 0.337056 | + | 0.126504i | ||||
\(105\) | 10.1936 | − | 2.99311i | 0.994792 | − | 0.292097i | ||||
\(106\) | −1.00374 | + | 1.83522i | −0.0974914 | + | 0.178252i | ||||
\(107\) | 0.296668 | − | 0.190657i | 0.0286800 | − | 0.0184315i | −0.526222 | − | 0.850347i | \(-0.676392\pi\) |
0.554902 | + | 0.831916i | \(0.312756\pi\) | |||||||
\(108\) | 1.68103 | + | 1.08358i | 0.161757 | + | 0.104268i | ||||
\(109\) | −7.81895 | + | 1.12419i | −0.748919 | + | 0.107678i | −0.506197 | − | 0.862418i | \(-0.668949\pi\) |
−0.242722 | + | 0.970096i | \(0.578040\pi\) | |||||||
\(110\) | 10.7466 | − | 2.33007i | 1.02464 | − | 0.222164i | ||||
\(111\) | 1.02844 | − | 7.15293i | 0.0976148 | − | 0.678926i | ||||
\(112\) | 8.02989 | + | 17.7111i | 0.758754 | + | 1.67354i | ||||
\(113\) | 5.81113 | − | 5.03538i | 0.546666 | − | 0.473688i | −0.337198 | − | 0.941434i | \(-0.609479\pi\) |
0.883863 | + | 0.467745i | \(0.154934\pi\) | |||||||
\(114\) | 3.68184 | + | 4.92538i | 0.344836 | + | 0.461304i | ||||
\(115\) | −7.05242 | − | 7.75230i | −0.657641 | − | 0.722906i | ||||
\(116\) | 3.26463 | − | 11.0623i | 0.303113 | − | 1.02711i | ||||
\(117\) | −0.850042 | − | 0.981001i | −0.0785864 | − | 0.0906936i | ||||
\(118\) | 0.569411 | + | 8.03870i | 0.0524186 | + | 0.740022i | ||||
\(119\) | −19.2927 | − | 2.77387i | −1.76856 | − | 0.254280i | ||||
\(120\) | 6.16422 | + | 0.453592i | 0.562714 | + | 0.0414071i | ||||
\(121\) | −0.236306 | − | 1.64354i | −0.0214823 | − | 0.149413i | ||||
\(122\) | −5.07318 | − | 13.6302i | −0.459304 | − | 1.23402i | ||||
\(123\) | 6.66446 | + | 10.3701i | 0.600914 | + | 0.935041i | ||||
\(124\) | −1.91985 | − | 13.4838i | −0.172408 | − | 1.21088i | ||||
\(125\) | 3.21658 | + | 10.9547i | 0.287699 | + | 0.979815i | ||||
\(126\) | 0.495173 | − | 6.85749i | 0.0441135 | − | 0.610914i | ||||
\(127\) | 7.27697 | + | 6.30553i | 0.645727 | + | 0.559525i | 0.914957 | − | 0.403550i | \(-0.132224\pi\) |
−0.269231 | + | 0.963076i | \(0.586769\pi\) | |||||||
\(128\) | 0.753059 | + | 11.2886i | 0.0665616 | + | 0.997782i | ||||
\(129\) | 6.47359 | − | 2.95639i | 0.569968 | − | 0.260296i | ||||
\(130\) | −3.75766 | − | 1.40446i | −0.329569 | − | 0.123180i | ||||
\(131\) | 0.181354 | − | 0.617634i | 0.0158450 | − | 0.0539630i | −0.951191 | − | 0.308603i | \(-0.900139\pi\) |
0.967036 | + | 0.254640i | \(0.0819569\pi\) | |||||||
\(132\) | 1.02239 | − | 7.04248i | 0.0889878 | − | 0.612969i | ||||
\(133\) | 8.78174 | − | 19.2293i | 0.761473 | − | 1.66739i | ||||
\(134\) | 7.99956 | + | 14.6740i | 0.691057 | + | 1.26764i | ||||
\(135\) | −1.83837 | − | 1.18145i | −0.158222 | − | 0.101683i | ||||
\(136\) | −9.94144 | − | 5.45496i | −0.852472 | − | 0.467759i | ||||
\(137\) | − | 13.8017i | − | 1.17916i | −0.807709 | − | 0.589581i | \(-0.799293\pi\) | ||
0.807709 | − | 0.589581i | \(-0.200707\pi\) | |||||||
\(138\) | −6.29731 | + | 2.51870i | −0.536063 | + | 0.214406i | ||||
\(139\) | 9.70102i | 0.822830i | 0.911448 | + | 0.411415i | \(0.134965\pi\) | ||||
−0.911448 | + | 0.411415i | \(0.865035\pi\) | |||||||
\(140\) | −8.80023 | − | 19.3398i | −0.743755 | − | 1.63451i | ||||
\(141\) | −1.04684 | − | 0.672766i | −0.0881601 | − | 0.0566571i | ||||
\(142\) | −5.42899 | + | 2.95963i | −0.455591 | + | 0.248367i | ||||
\(143\) | −1.91866 | + | 4.20128i | −0.160446 | + | 0.351329i | ||||
\(144\) | 1.67161 | − | 3.63397i | 0.139301 | − | 0.302831i | ||||
\(145\) | −3.55051 | + | 12.0919i | −0.294854 | + | 1.00418i | ||||
\(146\) | −0.316682 | + | 0.847286i | −0.0262088 | + | 0.0701219i | ||||
\(147\) | −15.1319 | + | 6.91050i | −1.24806 | + | 0.569969i | ||||
\(148\) | −14.4530 | − | 0.0197757i | −1.18803 | − | 0.00162555i | ||||
\(149\) | −5.09395 | − | 4.41393i | −0.417312 | − | 0.361603i | 0.420751 | − | 0.907176i | \(-0.361767\pi\) |
−0.838063 | + | 0.545573i | \(0.816312\pi\) | |||||||
\(150\) | 0.316776 | + | 0.0228741i | 0.0258646 | + | 0.00186766i | ||||
\(151\) | 2.27095 | + | 7.73416i | 0.184808 | + | 0.629397i | 0.998821 | + | 0.0485504i | \(0.0154602\pi\) |
−0.814013 | + | 0.580846i | \(0.802722\pi\) | |||||||
\(152\) | 8.71442 | − | 8.67872i | 0.706833 | − | 0.703937i | ||||
\(153\) | 2.16753 | + | 3.37274i | 0.175235 | + | 0.272670i | ||||
\(154\) | −22.9269 | + | 8.53344i | −1.84750 | + | 0.687644i | ||||
\(155\) | 2.11786 | + | 14.7300i | 0.170110 | + | 1.18314i | ||||
\(156\) | −1.70277 | + | 1.95967i | −0.136330 | + | 0.156899i | ||||
\(157\) | 2.55552 | + | 0.367429i | 0.203953 | + | 0.0293240i | 0.243534 | − | 0.969892i | \(-0.421693\pi\) |
−0.0395811 | + | 0.999216i | \(0.512602\pi\) | |||||||
\(158\) | −5.11697 | + | 0.362455i | −0.407084 | + | 0.0288353i | ||||
\(159\) | −0.968609 | − | 1.11783i | −0.0768157 | − | 0.0886500i | ||||
\(160\) | −0.839696 | − | 12.3332i | −0.0663838 | − | 0.975027i | ||||
\(161\) | 17.9843 | + | 14.8382i | 1.41736 | + | 1.16942i | ||||
\(162\) | −1.13272 | + | 0.846732i | −0.0889946 | + | 0.0665255i | ||||
\(163\) | 14.3679 | − | 12.4499i | 1.12538 | − | 0.975149i | 0.125525 | − | 0.992090i | \(-0.459938\pi\) |
0.999856 | + | 0.0169415i | \(0.00539289\pi\) | |||||||
\(164\) | 18.6543 | − | 16.1194i | 1.45665 | − | 1.25871i | ||||
\(165\) | −1.10657 | + | 7.69639i | −0.0861467 | + | 0.599163i | ||||
\(166\) | −1.52926 | − | 7.05312i | −0.118694 | − | 0.547428i | ||||
\(167\) | 0.293616 | − | 0.0422157i | 0.0227207 | − | 0.00326675i | −0.130945 | − | 0.991390i | \(-0.541801\pi\) |
0.153666 | + | 0.988123i | \(0.450892\pi\) | |||||||
\(168\) | −13.7176 | + | 0.952810i | −1.05834 | + | 0.0735109i | ||||
\(169\) | −9.51884 | + | 6.11739i | −0.732218 | + | 0.470568i | ||||
\(170\) | 10.8705 | + | 5.94542i | 0.833732 | + | 0.455993i | ||||
\(171\) | −4.17216 | + | 1.22506i | −0.319053 | + | 0.0936824i | ||||
\(172\) | −7.67878 | − | 11.9844i | −0.585502 | − | 0.913805i | ||||
\(173\) | 10.3357 | − | 11.9280i | 0.785806 | − | 0.906869i | −0.211708 | − | 0.977333i | \(-0.567903\pi\) |
0.997514 | + | 0.0704641i | \(0.0224480\pi\) | |||||||
\(174\) | 6.52566 | + | 4.89202i | 0.494709 | + | 0.370863i | ||||
\(175\) | −0.453553 | − | 0.993142i | −0.0342854 | − | 0.0750745i | ||||
\(176\) | −14.2326 | − | 0.0389484i | −1.07282 | − | 0.00293584i | ||||
\(177\) | −5.46763 | − | 1.60544i | −0.410972 | − | 0.120672i | ||||
\(178\) | −3.72307 | + | 3.71798i | −0.279056 | + | 0.278674i | ||||
\(179\) | 6.91533 | + | 3.15812i | 0.516876 | + | 0.236049i | 0.656734 | − | 0.754122i | \(-0.271937\pi\) |
−0.139858 | + | 0.990172i | \(0.544665\pi\) | |||||||
\(180\) | −1.82103 | + | 3.97310i | −0.135732 | + | 0.296138i | ||||
\(181\) | 0.959915 | − | 1.49366i | 0.0713499 | − | 0.111023i | −0.803745 | − | 0.594974i | \(-0.797162\pi\) |
0.875095 | + | 0.483951i | \(0.160799\pi\) | |||||||
\(182\) | 8.71929 | + | 1.90301i | 0.646317 | + | 0.141061i | ||||
\(183\) | 10.2840 | 0.760212 | ||||||||
\(184\) | 6.76245 | + | 11.7588i | 0.498534 | + | 0.866870i | ||||
\(185\) | 15.7918 | 1.16104 | ||||||||
\(186\) | 9.40916 | + | 2.05358i | 0.689913 | + | 0.150576i | ||||
\(187\) | 7.71241 | − | 12.0007i | 0.563987 | − | 0.877581i | ||||
\(188\) | −1.03697 | + | 2.26245i | −0.0756288 | + | 0.165006i | ||||
\(189\) | 4.42227 | + | 2.01958i | 0.321673 | + | 0.146903i | ||||
\(190\) | −9.50871 | + | 9.49571i | −0.689834 | + | 0.688891i | ||||
\(191\) | 14.8994 | + | 4.37487i | 1.07809 | + | 0.316554i | 0.772112 | − | 0.635486i | \(-0.219200\pi\) |
0.305973 | + | 0.952040i | \(0.401018\pi\) | |||||||
\(192\) | −7.66663 | − | 2.28535i | −0.553291 | − | 0.164931i | ||||
\(193\) | 5.71297 | + | 12.5096i | 0.411228 | + | 0.900464i | 0.996007 | + | 0.0892717i | \(0.0284539\pi\) |
−0.584779 | + | 0.811193i | \(0.698819\pi\) | |||||||
\(194\) | 7.65517 | + | 5.73876i | 0.549609 | + | 0.412019i | ||||
\(195\) | 1.85757 | − | 2.14376i | 0.133024 | − | 0.153518i | ||||
\(196\) | 17.9490 | + | 28.0134i | 1.28207 | + | 2.00096i | ||||
\(197\) | 2.17278 | − | 0.637984i | 0.154804 | − | 0.0454545i | −0.203412 | − | 0.979093i | \(-0.565203\pi\) |
0.358216 | + | 0.933639i | \(0.383385\pi\) | |||||||
\(198\) | 4.41482 | + | 2.41460i | 0.313747 | + | 0.171598i | ||||
\(199\) | −21.9401 | + | 14.1000i | −1.55529 | + | 0.999524i | −0.571416 | + | 0.820660i | \(0.693606\pi\) |
−0.983874 | + | 0.178864i | \(0.942758\pi\) | |||||||
\(200\) | −0.0440143 | − | 0.633674i | −0.00311228 | − | 0.0448075i | ||||
\(201\) | −11.6975 | + | 1.68184i | −0.825075 | + | 0.118628i | ||||
\(202\) | 1.36075 | + | 6.27593i | 0.0957419 | + | 0.441573i | ||||
\(203\) | 3.99004 | − | 27.7514i | 0.280046 | − | 1.94776i | ||||
\(204\) | 6.06707 | − | 5.24263i | 0.424780 | − | 0.367057i | ||||
\(205\) | −20.3582 | + | 17.6405i | −1.42188 | + | 1.23207i | ||||
\(206\) | −15.8151 | + | 11.8221i | −1.10189 | + | 0.823687i | ||||
\(207\) | −0.115859 | − | 4.79443i | −0.00805276 | − | 0.333236i | ||||
\(208\) | 4.36026 | + | 2.81906i | 0.302330 | + | 0.195467i | ||||
\(209\) | 10.1319 | + | 11.6929i | 0.700840 | + | 0.808813i | ||||
\(210\) | 14.9870 | − | 1.06158i | 1.03420 | − | 0.0732562i | ||||
\(211\) | 1.04451 | + | 0.150178i | 0.0719073 | + | 0.0103387i | 0.178175 | − | 0.983999i | \(-0.442981\pi\) |
−0.106267 | + | 0.994338i | \(0.533890\pi\) | |||||||
\(212\) | −1.94027 | + | 2.23302i | −0.133259 | + | 0.153364i | ||||
\(213\) | −0.622238 | − | 4.32776i | −0.0426350 | − | 0.296533i | ||||
\(214\) | 0.467397 | − | 0.173966i | 0.0319506 | − | 0.0118921i | ||||
\(215\) | 8.40803 | + | 13.0832i | 0.573423 | + | 0.892263i | ||||
\(216\) | 1.99589 | + | 2.00410i | 0.135803 | + | 0.136362i | ||||
\(217\) | −9.32732 | − | 31.7659i | −0.633180 | − | 2.15641i | ||||
\(218\) | −11.1424 | − | 0.804579i | −0.754656 | − | 0.0544930i | ||||
\(219\) | −0.483379 | − | 0.418850i | −0.0326637 | − | 0.0283033i | ||||
\(220\) | 15.5511 | + | 0.0212782i | 1.04845 | + | 0.00143458i | ||||
\(221\) | −4.73384 | + | 2.16187i | −0.318433 | + | 0.145423i | ||||
\(222\) | 3.57800 | − | 9.57298i | 0.240140 | − | 0.642497i | ||||
\(223\) | 3.52775 | − | 12.0144i | 0.236236 | − | 0.804545i | −0.752976 | − | 0.658049i | \(-0.771382\pi\) |
0.989211 | − | 0.146496i | \(-0.0467997\pi\) | |||||||
\(224\) | 5.75388 | + | 26.8927i | 0.384447 | + | 1.79685i | ||||
\(225\) | −0.0932929 | + | 0.204283i | −0.00621952 | + | 0.0136189i | ||||
\(226\) | 9.54763 | − | 5.20493i | 0.635099 | − | 0.346227i | ||||
\(227\) | −3.84031 | − | 2.46802i | −0.254890 | − | 0.163808i | 0.406956 | − | 0.913448i | \(-0.366590\pi\) |
−0.661846 | + | 0.749640i | \(0.730227\pi\) | |||||||
\(228\) | 3.60187 | + | 7.91563i | 0.238539 | + | 0.524225i | ||||
\(229\) | 14.2639i | 0.942586i | 0.881977 | + | 0.471293i | \(0.156213\pi\) | ||||
−0.881977 | + | 0.471293i | \(0.843787\pi\) | |||||||
\(230\) | −7.40647 | − | 12.8380i | −0.488368 | − | 0.846511i | ||||
\(231\) | − | 17.2983i | − | 1.13815i | ||||||
\(232\) | 7.84662 | − | 14.3002i | 0.515156 | − | 0.938852i | ||||
\(233\) | −24.5271 | − | 15.7626i | −1.60682 | − | 1.03264i | −0.963738 | − | 0.266849i | \(-0.914018\pi\) |
−0.643086 | − | 0.765794i | \(-0.722346\pi\) | |||||||
\(234\) | −0.878664 | − | 1.61177i | −0.0574401 | − | 0.105365i | ||||
\(235\) | 1.12965 | − | 2.47358i | 0.0736901 | − | 0.161359i | ||||
\(236\) | −1.63738 | + | 11.2787i | −0.106585 | + | 0.734180i | ||||
\(237\) | 1.02193 | − | 3.48038i | 0.0663816 | − | 0.226075i | ||||
\(238\) | −25.8200 | − | 9.65049i | −1.67366 | − | 0.625548i | ||||
\(239\) | 4.11030 | − | 1.87711i | 0.265873 | − | 0.121420i | −0.278018 | − | 0.960576i | \(-0.589678\pi\) |
0.543892 | + | 0.839155i | \(0.316950\pi\) | |||||||
\(240\) | 8.38025 | + | 2.48559i | 0.540943 | + | 0.160444i | ||||
\(241\) | −14.8207 | − | 12.8422i | −0.954687 | − | 0.827241i | 0.0303581 | − | 0.999539i | \(-0.490335\pi\) |
−0.985045 | + | 0.172298i | \(0.944881\pi\) | |||||||
\(242\) | 0.169122 | − | 2.34212i | 0.0108716 | − | 0.150557i | ||||
\(243\) | −0.281733 | − | 0.959493i | −0.0180732 | − | 0.0615515i | ||||
\(244\) | −2.89926 | − | 20.3626i | −0.185606 | − | 1.30358i | ||||
\(245\) | −19.6536 | − | 30.5816i | −1.25562 | − | 1.95379i | ||||
\(246\) | 6.08102 | + | 16.3380i | 0.387712 | + | 1.04167i | ||||
\(247\) | −0.803268 | − | 5.58685i | −0.0511107 | − | 0.355483i | ||||
\(248\) | 1.41351 | − | 19.2094i | 0.0897582 | − | 1.21980i | ||||
\(249\) | 5.05125 | + | 0.726260i | 0.320110 | + | 0.0460248i | ||||
\(250\) | 1.14084 | + | 16.1059i | 0.0721532 | + | 1.01863i | ||||
\(251\) | −3.88343 | − | 4.48172i | −0.245120 | − | 0.282884i | 0.619836 | − | 0.784732i | \(-0.287199\pi\) |
−0.864956 | + | 0.501848i | \(0.832654\pi\) | |||||||
\(252\) | 2.75211 | − | 9.32559i | 0.173366 | − | 0.587457i | ||||
\(253\) | −15.3464 | + | 7.46169i | −0.964823 | + | 0.469112i | ||||
\(254\) | 8.15302 | + | 10.9067i | 0.511566 | + | 0.684348i | ||||
\(255\) | −6.62126 | + | 5.73735i | −0.414639 | + | 0.359287i | ||||
\(256\) | −2.36368 | + | 15.8244i | −0.147730 | + | 0.989028i | ||||
\(257\) | 0.416025 | − | 2.89352i | 0.0259509 | − | 0.180493i | −0.972723 | − | 0.231968i | \(-0.925483\pi\) |
0.998674 | + | 0.0514758i | \(0.0163925\pi\) | |||||||
\(258\) | 9.83601 | − | 2.13265i | 0.612363 | − | 0.132773i | ||||
\(259\) | −34.7747 | + | 4.99985i | −2.16079 | + | 0.310675i | ||||
\(260\) | −4.76839 | − | 3.07369i | −0.295723 | − | 0.190622i | ||||
\(261\) | −4.85149 | + | 3.11786i | −0.300300 | + | 0.192991i | ||||
\(262\) | 0.436827 | − | 0.798690i | 0.0269873 | − | 0.0493432i | ||||
\(263\) | −0.307580 | + | 0.0903137i | −0.0189662 | + | 0.00556898i | −0.291202 | − | 0.956662i | \(-0.594055\pi\) |
0.272236 | + | 0.962231i | \(0.412237\pi\) | |||||||
\(264\) | 3.53634 | − | 9.42220i | 0.217647 | − | 0.579896i | ||||
\(265\) | 2.11668 | − | 2.44277i | 0.130026 | − | 0.150058i | ||||
\(266\) | 17.9324 | − | 23.9207i | 1.09950 | − | 1.46667i | ||||
\(267\) | −1.54556 | − | 3.38431i | −0.0945868 | − | 0.207116i | ||||
\(268\) | 6.62785 | + | 22.6872i | 0.404860 | + | 1.38584i | ||||
\(269\) | 9.18479 | + | 2.69690i | 0.560007 | + | 0.164433i | 0.549473 | − | 0.835512i | \(-0.314829\pi\) |
0.0105341 | + | 0.999945i | \(0.496647\pi\) | |||||||
\(270\) | −2.18378 | − | 2.18677i | −0.132901 | − | 0.133082i | ||||
\(271\) | −22.9216 | − | 10.4680i | −1.39239 | − | 0.635884i | −0.428833 | − | 0.903384i | \(-0.641075\pi\) |
−0.963558 | + | 0.267500i | \(0.913802\pi\) | |||||||
\(272\) | −12.0910 | − | 10.5350i | −0.733124 | − | 0.638776i | ||||
\(273\) | −3.41177 | + | 5.30882i | −0.206490 | + | 0.321304i | ||||
\(274\) | 4.16202 | − | 19.0697i | 0.251437 | − | 1.15204i | ||||
\(275\) | 0.799081 | 0.0481864 | ||||||||
\(276\) | −9.46046 | + | 1.58105i | −0.569453 | + | 0.0951683i | ||||
\(277\) | 4.67285 | 0.280764 | 0.140382 | − | 0.990097i | \(-0.455167\pi\) | ||||
0.140382 | + | 0.990097i | \(0.455167\pi\) | |||||||
\(278\) | −2.92542 | + | 13.4038i | −0.175455 | + | 0.803906i | ||||
\(279\) | −3.68171 | + | 5.72885i | −0.220418 | + | 0.342977i | ||||
\(280\) | −6.32710 | − | 29.3754i | −0.378117 | − | 1.75551i | ||||
\(281\) | 29.2208 | + | 13.3447i | 1.74317 | + | 0.796077i | 0.990473 | + | 0.137705i | \(0.0439725\pi\) |
0.752692 | + | 0.658372i | \(0.228755\pi\) | |||||||
\(282\) | −1.24353 | − | 1.24524i | −0.0740514 | − | 0.0741528i | ||||
\(283\) | 11.8074 | + | 3.46696i | 0.701876 | + | 0.206089i | 0.613150 | − | 0.789967i | \(-0.289902\pi\) |
0.0887262 | + | 0.996056i | \(0.471720\pi\) | |||||||
\(284\) | −8.39367 | + | 2.45213i | −0.498073 | + | 0.145507i | ||||
\(285\) | −3.94736 | − | 8.64352i | −0.233822 | − | 0.511998i | ||||
\(286\) | −3.91792 | + | 5.22627i | −0.231671 | + | 0.309036i | ||||
\(287\) | 39.2450 | − | 45.2912i | 2.31656 | − | 2.67345i | ||||
\(288\) | 3.40550 | − | 4.51692i | 0.200671 | − | 0.266162i | ||||
\(289\) | −0.888873 | + | 0.260997i | −0.0522867 | + | 0.0153527i | ||||
\(290\) | −8.55212 | + | 15.6366i | −0.502198 | + | 0.918213i | ||||
\(291\) | −5.69122 | + | 3.65753i | −0.333625 | + | 0.214408i | ||||
\(292\) | −0.693061 | + | 1.07519i | −0.0405584 | + | 0.0629206i | ||||
\(293\) | −28.8338 | + | 4.14568i | −1.68449 | + | 0.242193i | −0.917005 | − | 0.398875i | \(-0.869401\pi\) |
−0.767484 | + | 0.641068i | \(0.778492\pi\) | |||||||
\(294\) | −22.9915 | + | 4.98502i | −1.34089 | + | 0.290732i | ||||
\(295\) | 1.77220 | − | 12.3259i | 0.103182 | − | 0.717644i | ||||
\(296\) | −19.9635 | − | 4.38573i | −1.16036 | − | 0.254915i | ||||
\(297\) | −2.68907 | + | 2.33009i | −0.156036 | + | 0.135206i | ||||
\(298\) | −5.70719 | − | 7.63479i | −0.330609 | − | 0.442272i | ||||
\(299\) | 6.18147 | + | 0.736824i | 0.357484 | + | 0.0426116i | ||||
\(300\) | 0.430788 | + | 0.127131i | 0.0248715 | + | 0.00733992i | ||||
\(301\) | −22.6573 | − | 26.1479i | −1.30594 | − | 1.50714i | ||||
\(302\) | 0.805453 | + | 11.3710i | 0.0463486 | + | 0.654329i | ||||
\(303\) | −4.49464 | − | 0.646232i | −0.258211 | − | 0.0371251i | ||||
\(304\) | 14.6577 | − | 9.36338i | 0.840679 | − | 0.537027i | ||||
\(305\) | 3.19828 | + | 22.2445i | 0.183133 | + | 1.27372i | ||||
\(306\) | 1.97777 | + | 5.31372i | 0.113062 | + | 0.303765i | ||||
\(307\) | 2.22455 | + | 3.46146i | 0.126962 | + | 0.197556i | 0.898915 | − | 0.438123i | \(-0.144357\pi\) |
−0.771953 | + | 0.635679i | \(0.780720\pi\) | |||||||
\(308\) | −34.2512 | + | 4.87675i | −1.95164 | + | 0.277879i | ||||
\(309\) | −3.93357 | − | 13.3965i | −0.223773 | − | 0.762101i | ||||
\(310\) | −1.51574 | + | 20.9910i | −0.0860881 | + | 1.19221i | ||||
\(311\) | −12.1082 | − | 10.4918i | −0.686594 | − | 0.594937i | 0.240102 | − | 0.970748i | \(-0.422819\pi\) |
−0.926697 | + | 0.375810i | \(0.877364\pi\) | |||||||
\(312\) | −2.94365 | + | 2.19417i | −0.166651 | + | 0.124221i | ||||
\(313\) | 22.9230 | − | 10.4686i | 1.29568 | − | 0.591719i | 0.356231 | − | 0.934398i | \(-0.384062\pi\) |
0.939453 | + | 0.342679i | \(0.111334\pi\) | |||||||
\(314\) | 3.42013 | + | 1.27831i | 0.193009 | + | 0.0721392i | ||||
\(315\) | −2.99311 | + | 10.1936i | −0.168643 | + | 0.574344i | ||||
\(316\) | −7.17936 | − | 1.04226i | −0.403871 | − | 0.0586320i | ||||
\(317\) | −10.2526 | + | 22.4501i | −0.575845 | + | 1.26093i | 0.367781 | + | 0.929912i | \(0.380118\pi\) |
−0.943626 | + | 0.331013i | \(0.892610\pi\) | |||||||
\(318\) | −1.00122 | − | 1.83659i | −0.0561458 | − | 0.102991i | ||||
\(319\) | 17.2623 | + | 11.0938i | 0.966505 | + | 0.621135i | ||||
\(320\) | 2.55899 | − | 17.2939i | 0.143052 | − | 0.966758i | ||||
\(321\) | 0.352650i | 0.0196830i | ||||||||
\(322\) | 20.3742 | + | 25.9251i | 1.13541 | + | 1.44475i | ||||
\(323\) | 17.4331i | 0.970005i | ||||||||
\(324\) | −1.82040 | + | 0.828340i | −0.101133 | + | 0.0460189i | ||||
\(325\) | −0.245236 | − | 0.157604i | −0.0136033 | − | 0.00874228i | ||||
\(326\) | 23.6063 | − | 12.8691i | 1.30743 | − | 0.712752i | ||||
\(327\) | 3.28151 | − | 7.18550i | 0.181468 | − | 0.397359i | ||||
\(328\) | 30.6353 | − | 16.6466i | 1.69155 | − | 0.919156i | ||||
\(329\) | −1.70440 | + | 5.80465i | −0.0939666 | + | 0.320021i | ||||
\(330\) | −3.84985 | + | 10.3003i | −0.211927 | + | 0.567014i | ||||
\(331\) | 14.8069 | − | 6.76210i | 0.813863 | − | 0.371679i | 0.0354032 | − | 0.999373i | \(-0.488728\pi\) |
0.778460 | + | 0.627694i | \(0.216001\pi\) | |||||||
\(332\) | 0.0139652 | − | 10.2064i | 0.000766440 | − | 0.560147i | ||||
\(333\) | 5.46141 | + | 4.73234i | 0.299283 | + | 0.259331i | ||||
\(334\) | 0.418417 | + | 0.0302135i | 0.0228947 | + | 0.00165321i | ||||
\(335\) | −7.27575 | − | 24.7789i | −0.397517 | − | 1.35382i | ||||
\(336\) | −19.2408 | − | 2.82018i | −1.04967 | − | 0.153853i | ||||
\(337\) | −5.29794 | − | 8.24376i | −0.288597 | − | 0.449066i | 0.666437 | − | 0.745561i | \(-0.267819\pi\) |
−0.955034 | + | 0.296495i | \(0.904182\pi\) | |||||||
\(338\) | −14.9968 | + | 5.58184i | −0.815719 | + | 0.303612i | ||||
\(339\) | 1.09429 | + | 7.61097i | 0.0594338 | + | 0.413371i | ||||
\(340\) | 13.2268 | + | 11.4928i | 0.717324 | + | 0.623285i | ||||
\(341\) | 23.9840 | + | 3.44838i | 1.29881 | + | 0.186740i | ||||
\(342\) | −6.13405 | + | 0.434498i | −0.331691 | + | 0.0234950i | ||||
\(343\) | 30.6752 | + | 35.4011i | 1.65631 | + | 1.91148i | ||||
\(344\) | −6.99568 | − | 18.8744i | −0.377182 | − | 1.01764i | ||||
\(345\) | 10.3345 | − | 1.74166i | 0.556389 | − | 0.0937678i | ||||
\(346\) | 17.8777 | − | 13.3640i | 0.961109 | − | 0.718452i | ||||
\(347\) | −21.6036 | + | 18.7196i | −1.15974 | + | 1.00492i | −0.159901 | + | 0.987133i | \(0.551118\pi\) |
−0.999842 | + | 0.0177902i | \(0.994337\pi\) | |||||||
\(348\) | 7.54120 | + | 8.72711i | 0.404251 | + | 0.467822i | ||||
\(349\) | 2.02738 | − | 14.1007i | 0.108523 | − | 0.754794i | −0.860789 | − | 0.508961i | \(-0.830030\pi\) |
0.969312 | − | 0.245832i | \(-0.0790613\pi\) | |||||||
\(350\) | −0.327179 | − | 1.50899i | −0.0174884 | − | 0.0806587i | ||||
\(351\) | 1.28484 | − | 0.184732i | 0.0685796 | − | 0.00986025i | ||||
\(352\) | −19.6532 | − | 4.34576i | −1.04752 | − | 0.231630i | ||||
\(353\) | −17.6425 | + | 11.3382i | −0.939017 | + | 0.603470i | −0.918116 | − | 0.396312i | \(-0.870290\pi\) |
−0.0209014 | + | 0.999782i | \(0.506654\pi\) | |||||||
\(354\) | −7.07043 | − | 3.86703i | −0.375789 | − | 0.205530i | ||||
\(355\) | 9.16756 | − | 2.69184i | 0.486564 | − | 0.142868i | ||||
\(356\) | −6.26531 | + | 4.01437i | −0.332061 | + | 0.212761i | ||||
\(357\) | 12.7639 | − | 14.7304i | 0.675540 | − | 0.779614i | ||||
\(358\) | 8.60247 | + | 6.44892i | 0.454655 | + | 0.340836i | ||||
\(359\) | −0.557281 | − | 1.22028i | −0.0294122 | − | 0.0644037i | 0.894356 | − | 0.447356i | \(-0.147634\pi\) |
−0.923768 | + | 0.382953i | \(0.874907\pi\) | |||||||
\(360\) | −3.71422 | + | 4.94044i | −0.195756 | + | 0.260384i | ||||
\(361\) | 0.0886028 | + | 0.0260161i | 0.00466331 | + | 0.00136927i | ||||
\(362\) | 1.77673 | − | 1.77430i | 0.0933827 | − | 0.0932550i | ||||
\(363\) | 1.51039 | + | 0.689772i | 0.0792750 | + | 0.0362037i | ||||
\(364\) | 11.4735 | + | 5.25874i | 0.601373 | + | 0.275633i | ||||
\(365\) | 0.755656 | − | 1.17582i | 0.0395529 | − | 0.0615455i | ||||
\(366\) | 14.2092 | + | 3.10121i | 0.742728 | + | 0.162103i | ||||
\(367\) | −22.6640 | −1.18305 | −0.591527 | − | 0.806285i | \(-0.701475\pi\) | ||||
−0.591527 | + | 0.806285i | \(0.701475\pi\) | |||||||
\(368\) | 5.79763 | + | 18.2863i | 0.302223 | + | 0.953237i | ||||
\(369\) | −12.3270 | −0.641716 | ||||||||
\(370\) | 21.8194 | + | 4.76216i | 1.13434 | + | 0.247573i | ||||
\(371\) | −3.88765 | + | 6.04931i | −0.201837 | + | 0.314064i | ||||
\(372\) | 12.3812 | + | 5.67481i | 0.641938 | + | 0.294225i | ||||
\(373\) | −6.32217 | − | 2.88724i | −0.327349 | − | 0.149495i | 0.244960 | − | 0.969533i | \(-0.421225\pi\) |
−0.572309 | + | 0.820038i | \(0.693952\pi\) | |||||||
\(374\) | 14.2751 | − | 14.2555i | 0.738146 | − | 0.737136i | ||||
\(375\) | −10.9547 | − | 3.21658i | −0.565696 | − | 0.166103i | ||||
\(376\) | −2.11503 | + | 2.81329i | −0.109074 | + | 0.145085i | ||||
\(377\) | −3.10972 | − | 6.80934i | −0.160159 | − | 0.350699i | ||||
\(378\) | 5.50118 | + | 4.12400i | 0.282950 | + | 0.212116i | ||||
\(379\) | −3.16948 | + | 3.65777i | −0.162805 | + | 0.187887i | −0.831291 | − | 0.555838i | \(-0.812397\pi\) |
0.668485 | + | 0.743725i | \(0.266943\pi\) | |||||||
\(380\) | −16.0016 | + | 10.2527i | −0.820864 | + | 0.525952i | ||||
\(381\) | −9.23878 | + | 2.71275i | −0.473317 | + | 0.138978i | ||||
\(382\) | 19.2671 | + | 10.5377i | 0.985790 | + | 0.539158i | ||||
\(383\) | 20.5546 | − | 13.2096i | 1.05029 | − | 0.674980i | 0.102779 | − | 0.994704i | \(-0.467226\pi\) |
0.947511 | + | 0.319724i | \(0.103590\pi\) | |||||||
\(384\) | −9.90372 | − | 5.46957i | −0.505397 | − | 0.279118i | ||||
\(385\) | 37.4168 | − | 5.37972i | 1.90694 | − | 0.274176i | ||||
\(386\) | 4.12115 | + | 19.0072i | 0.209761 | + | 0.967442i | ||||
\(387\) | −1.01281 | + | 7.04428i | −0.0514842 | + | 0.358081i | ||||
\(388\) | 8.84649 | + | 10.2377i | 0.449112 | + | 0.519739i | ||||
\(389\) | −14.6589 | + | 12.7020i | −0.743234 | + | 0.644016i | −0.941839 | − | 0.336064i | \(-0.890904\pi\) |
0.198605 | + | 0.980080i | \(0.436359\pi\) | |||||||
\(390\) | 3.21306 | − | 2.40184i | 0.162699 | − | 0.121622i | ||||
\(391\) | −18.5740 | − | 4.96972i | −0.939329 | − | 0.251329i | ||||
\(392\) | 16.3523 | + | 44.1184i | 0.825914 | + | 2.22832i | ||||
\(393\) | 0.421540 | + | 0.486483i | 0.0212639 | + | 0.0245398i | ||||
\(394\) | 3.19449 | − | 0.226278i | 0.160936 | − | 0.0113997i | ||||
\(395\) | 7.84599 | + | 1.12808i | 0.394774 | + | 0.0567600i | ||||
\(396\) | 5.37176 | + | 4.66754i | 0.269941 | + | 0.234553i | ||||
\(397\) | 4.59381 | + | 31.9507i | 0.230557 | + | 1.60356i | 0.695706 | + | 0.718326i | \(0.255091\pi\) |
−0.465149 | + | 0.885232i | \(0.653999\pi\) | |||||||
\(398\) | −34.5663 | + | 12.8656i | −1.73265 | + | 0.644896i | ||||
\(399\) | 11.4290 | + | 17.7838i | 0.572164 | + | 0.890305i | ||||
\(400\) | 0.130276 | − | 0.888813i | 0.00651378 | − | 0.0444407i | ||||
\(401\) | −6.91549 | − | 23.5520i | −0.345343 | − | 1.17613i | −0.930831 | − | 0.365450i | \(-0.880915\pi\) |
0.585488 | − | 0.810681i | \(-0.300903\pi\) | |||||||
\(402\) | −16.6694 | − | 1.20368i | −0.831395 | − | 0.0600343i | ||||
\(403\) | −6.68052 | − | 5.78870i | −0.332780 | − | 0.288356i | ||||
\(404\) | −0.0124264 | + | 9.08172i | −0.000618234 | + | 0.451832i | ||||
\(405\) | 1.98780 | − | 0.907796i | 0.0987743 | − | 0.0451087i | ||||
\(406\) | 13.8816 | − | 37.1405i | 0.688935 | − | 1.84325i | ||||
\(407\) | 7.24417 | − | 24.6714i | 0.359080 | − | 1.22291i | ||||
\(408\) | 9.96375 | − | 5.41410i | 0.493279 | − | 0.268038i | ||||
\(409\) | −2.09372 | + | 4.58462i | −0.103528 | + | 0.226695i | −0.954306 | − | 0.298830i | \(-0.903404\pi\) |
0.850778 | + | 0.525525i | \(0.176131\pi\) | |||||||
\(410\) | −33.4484 | + | 18.2345i | −1.65190 | + | 0.900537i | ||||
\(411\) | 11.6108 | + | 7.46178i | 0.572716 | + | 0.368062i | ||||
\(412\) | −25.4166 | + | 11.5653i | −1.25218 | + | 0.569784i | ||||
\(413\) | 27.7036i | 1.36321i | ||||||||
\(414\) | 1.28572 | − | 6.65935i | 0.0631896 | − | 0.327289i | ||||
\(415\) | 11.1519i | 0.547424i | ||||||||
\(416\) | 5.17441 | + | 5.20993i | 0.253696 | + | 0.255438i | ||||
\(417\) | −8.16102 | − | 5.24477i | −0.399647 | − | 0.256837i | ||||
\(418\) | 10.4731 | + | 19.2113i | 0.512256 | + | 0.939654i | ||||
\(419\) | −8.49411 | + | 18.5995i | −0.414965 | + | 0.908646i | 0.580567 | + | 0.814213i | \(0.302831\pi\) |
−0.995531 | + | 0.0944329i | \(0.969896\pi\) | |||||||
\(420\) | 21.0274 | + | 3.05266i | 1.02603 | + | 0.148955i | ||||
\(421\) | 2.90149 | − | 9.88156i | 0.141410 | − | 0.481598i | −0.858081 | − | 0.513515i | \(-0.828343\pi\) |
0.999491 | + | 0.0319171i | \(0.0101613\pi\) | |||||||
\(422\) | 1.39791 | + | 0.522481i | 0.0680490 | + | 0.0254340i | ||||
\(423\) | 1.13193 | − | 0.516936i | 0.0550365 | − | 0.0251343i | ||||
\(424\) | −3.35424 | + | 2.50023i | −0.162896 | + | 0.121422i | ||||
\(425\) | 0.680457 | + | 0.589619i | 0.0330070 | + | 0.0286007i | ||||
\(426\) | 0.445332 | − | 6.16725i | 0.0215764 | − | 0.298804i | ||||
\(427\) | −14.0856 | − | 47.9713i | −0.681652 | − | 2.32149i | ||||
\(428\) | 0.698257 | − | 0.0994193i | 0.0337515 | − | 0.00480561i | ||||
\(429\) | −2.49704 | − | 3.88546i | −0.120558 | − | 0.187592i | ||||
\(430\) | 7.67195 | + | 20.6123i | 0.369974 | + | 0.994016i | ||||
\(431\) | 2.16681 | + | 15.0705i | 0.104371 | + | 0.725919i | 0.973059 | + | 0.230558i | \(0.0740551\pi\) |
−0.868687 | + | 0.495361i | \(0.835036\pi\) | |||||||
\(432\) | 2.15335 | + | 3.37092i | 0.103603 | + | 0.162183i | ||||
\(433\) | 24.8694 | + | 3.57568i | 1.19515 | + | 0.171836i | 0.711027 | − | 0.703165i | \(-0.248231\pi\) |
0.484121 | + | 0.875001i | \(0.339140\pi\) | |||||||
\(434\) | −3.30818 | − | 46.7034i | −0.158798 | − | 2.24183i | ||||
\(435\) | −8.25283 | − | 9.52428i | −0.395693 | − | 0.456654i | ||||
\(436\) | −15.1526 | − | 4.47174i | −0.725680 | − | 0.214158i | ||||
\(437\) | 10.8472 | − | 17.8105i | 0.518894 | − | 0.851991i | ||||
\(438\) | −0.541571 | − | 0.724487i | −0.0258773 | − | 0.0346173i | ||||
\(439\) | −6.22747 | + | 5.39613i | −0.297221 | + | 0.257543i | −0.790685 | − | 0.612223i | \(-0.790276\pi\) |
0.493465 | + | 0.869766i | \(0.335730\pi\) | |||||||
\(440\) | 21.4803 | + | 4.71895i | 1.02403 | + | 0.224967i | ||||
\(441\) | 2.36743 | − | 16.4659i | 0.112735 | − | 0.784088i | ||||
\(442\) | −7.19262 | + | 1.55951i | −0.342118 | + | 0.0741782i | ||||
\(443\) | 28.2064 | − | 4.05547i | 1.34013 | − | 0.192681i | 0.565317 | − | 0.824874i | \(-0.308754\pi\) |
0.774811 | + | 0.632193i | \(0.217845\pi\) | |||||||
\(444\) | 7.83049 | − | 12.1479i | 0.371619 | − | 0.576514i | ||||
\(445\) | 6.83970 | − | 4.39561i | 0.324233 | − | 0.208372i | ||||
\(446\) | 8.49730 | − | 15.5364i | 0.402359 | − | 0.735668i | ||||
\(447\) | 6.46723 | − | 1.89895i | 0.305889 | − | 0.0898172i | ||||
\(448\) | −0.159649 | + | 38.8925i | −0.00754268 | + | 1.83750i | ||||
\(449\) | −7.90101 | + | 9.11825i | −0.372872 | + | 0.430317i | −0.910911 | − | 0.412603i | \(-0.864620\pi\) |
0.538039 | + | 0.842920i | \(0.319165\pi\) | |||||||
\(450\) | −0.190505 | + | 0.254122i | −0.00898048 | + | 0.0119794i | ||||
\(451\) | 18.2206 | + | 39.8976i | 0.857975 | + | 1.87870i | ||||
\(452\) | 14.7614 | − | 4.31242i | 0.694320 | − | 0.202839i | ||||
\(453\) | −7.73416 | − | 2.27095i | −0.363382 | − | 0.106699i | ||||
\(454\) | −4.56186 | − | 4.56811i | −0.214099 | − | 0.214392i | ||||
\(455\) | −12.5442 | − | 5.72874i | −0.588081 | − | 0.268567i | ||||
\(456\) | 2.58963 | + | 12.0231i | 0.121271 | + | 0.563033i | ||||
\(457\) | 15.4191 | − | 23.9926i | 0.721275 | − | 1.12233i | −0.266104 | − | 0.963944i | \(-0.585736\pi\) |
0.987378 | − | 0.158381i | \(-0.0506273\pi\) | |||||||
\(458\) | −4.30140 | + | 19.7083i | −0.200991 | + | 0.920908i | ||||
\(459\) | −4.00919 | −0.187133 | ||||||||
\(460\) | −6.36204 | − | 19.9716i | −0.296632 | − | 0.931179i | ||||
\(461\) | −1.15061 | −0.0535891 | −0.0267945 | − | 0.999641i | \(-0.508530\pi\) | ||||
−0.0267945 | + | 0.999641i | \(0.508530\pi\) | |||||||
\(462\) | 5.21645 | − | 23.9009i | 0.242691 | − | 1.11197i | ||||
\(463\) | −22.4042 | + | 34.8616i | −1.04121 | + | 1.62016i | −0.293711 | + | 0.955894i | \(0.594890\pi\) |
−0.747500 | + | 0.664262i | \(0.768746\pi\) | |||||||
\(464\) | 15.1539 | − | 17.3922i | 0.703503 | − | 0.807410i | ||||
\(465\) | −13.5367 | − | 6.18200i | −0.627749 | − | 0.286683i | ||||
\(466\) | −29.1355 | − | 29.1754i | −1.34967 | − | 1.35152i | ||||
\(467\) | 30.4924 | + | 8.95338i | 1.41102 | + | 0.414313i | 0.896454 | − | 0.443137i | \(-0.146135\pi\) |
0.514567 | + | 0.857450i | \(0.327953\pi\) | |||||||
\(468\) | −0.727997 | − | 2.49194i | −0.0336517 | − | 0.115190i | ||||
\(469\) | 23.8669 | + | 52.2613i | 1.10207 | + | 2.41320i | ||||
\(470\) | 2.30675 | − | 3.07707i | 0.106402 | − | 0.141935i | ||||
\(471\) | −1.69072 | + | 1.95119i | −0.0779043 | + | 0.0899063i | ||||
\(472\) | −5.66353 | + | 15.0899i | −0.260685 | + | 0.694567i | ||||
\(473\) | 24.2966 | − | 7.13413i | 1.11716 | − | 0.328028i | ||||
\(474\) | 2.46153 | − | 4.50063i | 0.113062 | − | 0.206721i | ||||
\(475\) | −0.821508 | + | 0.527951i | −0.0376934 | + | 0.0242241i | ||||
\(476\) | −32.7650 | − | 21.1202i | −1.50178 | − | 0.968043i | ||||
\(477\) | 1.46405 | − | 0.210499i | 0.0670343 | − | 0.00963808i | ||||
\(478\) | 6.24522 | − | 1.35409i | 0.285650 | − | 0.0619346i | ||||
\(479\) | −3.61765 | + | 25.1613i | −0.165294 | + | 1.14965i | 0.723159 | + | 0.690682i | \(0.242689\pi\) |
−0.888454 | + | 0.458967i | \(0.848220\pi\) | |||||||
\(480\) | 10.8293 | + | 5.96145i | 0.494290 | + | 0.272102i | ||||
\(481\) | −7.08918 | + | 6.14281i | −0.323239 | + | 0.280088i | ||||
\(482\) | −16.6049 | − | 22.2133i | −0.756334 | − | 1.01179i | ||||
\(483\) | −22.2058 | + | 7.10724i | −1.01040 | + | 0.323391i | ||||
\(484\) | 0.939960 | − | 3.18508i | 0.0427255 | − | 0.144776i | ||||
\(485\) | −9.68130 | − | 11.1728i | −0.439605 | − | 0.507331i | ||||
\(486\) | −0.0999238 | − | 1.41068i | −0.00453263 | − | 0.0639897i | ||||
\(487\) | 13.1047 | + | 1.88417i | 0.593829 | + | 0.0853797i | 0.432676 | − | 0.901550i | \(-0.357570\pi\) |
0.161153 | + | 0.986929i | \(0.448479\pi\) | |||||||
\(488\) | 2.13462 | − | 29.0090i | 0.0966296 | − | 1.31318i | ||||
\(489\) | 2.70561 | + | 18.8180i | 0.122352 | + | 0.850978i | ||||
\(490\) | −17.9330 | − | 48.1809i | −0.810131 | − | 2.17659i | ||||
\(491\) | 11.8790 | + | 18.4841i | 0.536091 | + | 0.834174i | 0.998625 | − | 0.0524278i | \(-0.0166960\pi\) |
−0.462534 | + | 0.886602i | \(0.653060\pi\) | |||||||
\(492\) | 3.47523 | + | 24.4078i | 0.156675 | + | 1.10039i | ||||
\(493\) | 6.51391 | + | 22.1843i | 0.293372 | + | 0.999132i | ||||
\(494\) | 0.574894 | − | 7.96152i | 0.0258657 | − | 0.358206i | ||||
\(495\) | −5.87636 | − | 5.09189i | −0.264123 | − | 0.228864i | ||||
\(496\) | 7.74577 | − | 26.1151i | 0.347796 | − | 1.17260i | ||||
\(497\) | −19.3353 | + | 8.83014i | −0.867307 | + | 0.396086i | ||||
\(498\) | 6.76024 | + | 2.52671i | 0.302934 | + | 0.113225i | ||||
\(499\) | 10.1200 | − | 34.4654i | 0.453031 | − | 1.54288i | −0.344014 | − | 0.938964i | \(-0.611787\pi\) |
0.797046 | − | 0.603919i | \(-0.206395\pi\) | |||||||
\(500\) | −3.28058 | + | 22.5974i | −0.146712 | + | 1.01059i | ||||
\(501\) | −0.123227 | + | 0.269829i | −0.00550537 | + | 0.0120551i | ||||
\(502\) | −4.01420 | − | 7.36342i | −0.179162 | − | 0.328646i | ||||
\(503\) | −10.2743 | − | 6.60288i | −0.458107 | − | 0.294408i | 0.291161 | − | 0.956674i | \(-0.405958\pi\) |
−0.749269 | + | 0.662266i | \(0.769595\pi\) | |||||||
\(504\) | 6.61476 | − | 12.0551i | 0.294645 | − | 0.536979i | ||||
\(505\) | − | 9.92303i | − | 0.441569i | ||||||
\(506\) | −23.4541 | + | 5.68188i | −1.04266 | + | 0.252590i | ||||
\(507\) | − | 11.3151i | − | 0.502520i | ||||||
\(508\) | 7.97593 | + | 17.5283i | 0.353875 | + | 0.777692i | ||||
\(509\) | 15.9988 | + | 10.2818i | 0.709133 | + | 0.455732i | 0.844841 | − | 0.535017i | \(-0.179695\pi\) |
−0.135708 | + | 0.990749i | \(0.543331\pi\) | |||||||
\(510\) | −10.8787 | + | 5.93054i | −0.481715 | + | 0.262609i | ||||
\(511\) | −1.29173 | + | 2.82849i | −0.0571427 | + | 0.125125i | ||||
\(512\) | −8.03786 | + | 21.1517i | −0.355227 | + | 0.934780i | ||||
\(513\) | 1.22506 | − | 4.17216i | 0.0540875 | − | 0.184205i | ||||
\(514\) | 1.44738 | − | 3.87248i | 0.0638412 | − | 0.170808i | ||||
\(515\) | 27.7538 | − | 12.6747i | 1.22298 | − | 0.558515i | ||||
\(516\) | 14.2334 | + | 0.0194753i | 0.626591 | + | 0.000857354i | ||||
\(517\) | −3.34624 | − | 2.89954i | −0.147168 | − | 0.127521i | ||||
\(518\) | −49.5555 | − | 3.57836i | −2.17734 | − | 0.157224i | ||||
\(519\) | 4.44659 | + | 15.1437i | 0.195183 | + | 0.664734i | ||||
\(520\) | −5.66153 | − | 5.68482i | −0.248275 | − | 0.249296i | ||||
\(521\) | 2.91162 | + | 4.53057i | 0.127560 | + | 0.198488i | 0.899159 | − | 0.437622i | \(-0.144179\pi\) |
−0.771599 | + | 0.636109i | \(0.780543\pi\) | |||||||
\(522\) | −7.64346 | + | 2.84491i | −0.334545 | + | 0.124518i | ||||
\(523\) | −1.59811 | − | 11.1151i | −0.0698804 | − | 0.486029i | −0.994466 | − | 0.105056i | \(-0.966498\pi\) |
0.924586 | − | 0.380974i | \(-0.124411\pi\) | |||||||
\(524\) | 0.844410 | − | 0.971811i | 0.0368882 | − | 0.0424538i | ||||
\(525\) | 1.08069 | + | 0.155380i | 0.0471653 | + | 0.00678135i | ||||
\(526\) | −0.452215 | + | 0.0320321i | −0.0197175 | + | 0.00139667i | ||||
\(527\) | 17.8791 | + | 20.6336i | 0.778827 | + | 0.898814i | ||||
\(528\) | 7.72746 | − | 11.9521i | 0.336295 | − | 0.520150i | ||||
\(529\) | 15.8838 | + | 16.6344i | 0.690601 | + | 0.723236i | ||||
\(530\) | 3.66122 | − | 2.73685i | 0.159033 | − | 0.118881i | ||||
\(531\) | 4.30661 | − | 3.73170i | 0.186891 | − | 0.161942i | ||||
\(532\) | 31.9905 | − | 27.6433i | 1.38696 | − | 1.19849i | ||||
\(533\) | 2.27718 | − | 15.8382i | 0.0986357 | − | 0.686026i | ||||
\(534\) | −1.11492 | − | 5.14214i | −0.0482473 | − | 0.222522i | ||||
\(535\) | −0.762792 | + | 0.109673i | −0.0329784 | + | 0.00474158i | ||||
\(536\) | 2.31612 | + | 33.3453i | 0.100041 | + | 1.44030i | ||||
\(537\) | −6.39549 | + | 4.11013i | −0.275986 | + | 0.177365i | ||||
\(538\) | 11.8773 | + | 6.49602i | 0.512065 | + | 0.280063i | ||||
\(539\) | −56.7928 | + | 16.6759i | −2.44624 | + | 0.718281i | ||||
\(540\) | −2.35786 | − | 3.67997i | −0.101466 | − | 0.158361i | ||||
\(541\) | 15.3887 | − | 17.7595i | 0.661611 | − | 0.763540i | −0.321428 | − | 0.946934i | \(-0.604163\pi\) |
0.983040 | + | 0.183394i | \(0.0587083\pi\) | |||||||
\(542\) | −28.5139 | − | 21.3757i | −1.22478 | − | 0.918164i | ||||
\(543\) | 0.737575 | + | 1.61506i | 0.0316524 | + | 0.0693090i | ||||
\(544\) | −13.5291 | − | 18.2022i | −0.580054 | − | 0.780412i | ||||
\(545\) | 16.5630 | + | 4.86334i | 0.709481 | + | 0.208322i | ||||
\(546\) | −6.31492 | + | 6.30628i | −0.270254 | + | 0.269884i | ||||
\(547\) | −32.2879 | − | 14.7454i | −1.38053 | − | 0.630468i | −0.419716 | − | 0.907655i | \(-0.637870\pi\) |
−0.960816 | + | 0.277187i | \(0.910598\pi\) | |||||||
\(548\) | 11.5012 | − | 25.0933i | 0.491309 | − | 1.07193i | ||||
\(549\) | −5.55993 | + | 8.65142i | −0.237292 | + | 0.369234i | ||||
\(550\) | 1.10408 | + | 0.240969i | 0.0470782 | + | 0.0102750i | ||||
\(551\) | −25.0765 | −1.06829 | ||||||||
\(552\) | −13.5482 | − | 0.668353i | −0.576649 | − | 0.0284470i | ||||
\(553\) | −17.6345 | −0.749897 | ||||||||
\(554\) | 6.45642 | + | 1.40913i | 0.274307 | + | 0.0598684i | ||||
\(555\) | −8.53772 | + | 13.2849i | −0.362406 | + | 0.563914i | ||||
\(556\) | −8.08404 | + | 17.6377i | −0.342840 | + | 0.748004i | ||||
\(557\) | 25.2905 | + | 11.5498i | 1.07159 | + | 0.489379i | 0.871499 | − | 0.490397i | \(-0.163148\pi\) |
0.200093 | + | 0.979777i | \(0.435876\pi\) | |||||||
\(558\) | −6.81456 | + | 6.80524i | −0.288483 | + | 0.288089i | ||||
\(559\) | −8.86365 | − | 2.60260i | −0.374893 | − | 0.110078i | ||||
\(560\) | 0.116292 | − | 42.4956i | 0.00491424 | − | 1.79577i | ||||
\(561\) | 5.92602 | + | 12.9762i | 0.250197 | + | 0.547855i | ||||
\(562\) | 36.3498 | + | 27.2500i | 1.53332 | + | 1.14947i | ||||
\(563\) | −15.8814 | + | 18.3281i | −0.669320 | + | 0.772437i | −0.984270 | − | 0.176672i | \(-0.943467\pi\) |
0.314950 | + | 0.949108i | \(0.398012\pi\) | |||||||
\(564\) | −1.34267 | − | 2.09553i | −0.0565364 | − | 0.0882376i | ||||
\(565\) | −16.1224 | + | 4.73397i | −0.678276 | + | 0.199160i | ||||
\(566\) | 15.2686 | + | 8.35087i | 0.641788 | + | 0.351013i | ||||
\(567\) | −4.08984 | + | 2.62838i | −0.171757 | + | 0.110382i | ||||
\(568\) | −12.3369 | + | 0.856906i | −0.517645 | + | 0.0359550i | ||||
\(569\) | 17.8392 | − | 2.56489i | 0.747857 | − | 0.107526i | 0.242160 | − | 0.970236i | \(-0.422144\pi\) |
0.505698 | + | 0.862711i | \(0.331235\pi\) | |||||||
\(570\) | −2.84750 | − | 13.1330i | −0.119269 | − | 0.550081i | ||||
\(571\) | 2.39197 | − | 16.6365i | 0.100101 | − | 0.696216i | −0.876539 | − | 0.481331i | \(-0.840153\pi\) |
0.976639 | − | 0.214885i | \(-0.0689375\pi\) | |||||||
\(572\) | −6.98937 | + | 6.03960i | −0.292240 | + | 0.252528i | ||||
\(573\) | −11.7356 | + | 10.1690i | −0.490262 | + | 0.424815i | ||||
\(574\) | 67.8823 | − | 50.7436i | 2.83335 | − | 2.11800i | ||||
\(575\) | −0.328313 | − | 1.02578i | −0.0136916 | − | 0.0427778i | ||||
\(576\) | 6.06745 | − | 5.21402i | 0.252810 | − | 0.217251i | ||||
\(577\) | 20.6813 | + | 23.8675i | 0.860973 | + | 0.993616i | 0.999994 | + | 0.00332668i | \(0.00105892\pi\) |
−0.139021 | + | 0.990289i | \(0.544396\pi\) | |||||||
\(578\) | −1.30685 | + | 0.0925693i | −0.0543579 | + | 0.00385037i | ||||
\(579\) | −13.6124 | − | 1.95717i | −0.565714 | − | 0.0813374i | ||||
\(580\) | −16.5317 | + | 19.0259i | −0.686442 | + | 0.790009i | ||||
\(581\) | −3.53079 | − | 24.5572i | −0.146482 | − | 1.01880i | ||||
\(582\) | −8.96645 | + | 3.33733i | −0.371671 | + | 0.138337i | ||||
\(583\) | −2.84533 | − | 4.42742i | −0.117842 | − | 0.183365i | ||||
\(584\) | −1.28183 | + | 1.27658i | −0.0530424 | + | 0.0528251i | ||||
\(585\) | 0.799161 | + | 2.72169i | 0.0330412 | + | 0.112528i | ||||
\(586\) | −41.0895 | − | 2.96704i | −1.69739 | − | 0.122567i | ||||
\(587\) | −19.3706 | − | 16.7847i | −0.799511 | − | 0.692780i | 0.155993 | − | 0.987758i | \(-0.450142\pi\) |
−0.955504 | + | 0.294978i | \(0.904688\pi\) | |||||||
\(588\) | −33.2703 | − | 0.0455232i | −1.37204 | − | 0.00187734i | ||||
\(589\) | −26.9355 | + | 12.3010i | −1.10986 | + | 0.506855i | ||||
\(590\) | 6.16562 | − | 16.4962i | 0.253835 | − | 0.679137i | ||||
\(591\) | −0.637984 | + | 2.17278i | −0.0262432 | + | 0.0893760i | ||||
\(592\) | −26.2608 | − | 12.0799i | −1.07931 | − | 0.496479i | ||||
\(593\) | 0.389988 | − | 0.853955i | 0.0160149 | − | 0.0350677i | −0.901456 | − | 0.432872i | \(-0.857500\pi\) |
0.917470 | + | 0.397804i | \(0.130228\pi\) | |||||||
\(594\) | −4.41812 | + | 2.40855i | −0.181278 | + | 0.0988241i | ||||
\(595\) | 35.8318 | + | 23.0277i | 1.46896 | + | 0.944044i | ||||
\(596\) | −5.58322 | − | 12.2700i | −0.228698 | − | 0.502597i | ||||
\(597\) | − | 26.0802i | − | 1.06739i | ||||||
\(598\) | 8.31867 | + | 2.88213i | 0.340176 | + | 0.117859i | ||||
\(599\) | − | 27.6798i | − | 1.13096i | −0.824760 | − | 0.565482i | \(-0.808690\pi\) | ||
0.824760 | − | 0.565482i | \(-0.191310\pi\) | |||||||
\(600\) | 0.556877 | + | 0.305563i | 0.0227344 | + | 0.0124746i | ||||
\(601\) | −39.4520 | − | 25.3543i | −1.60928 | − | 1.03422i | −0.962402 | − | 0.271628i | \(-0.912438\pi\) |
−0.646878 | − | 0.762594i | \(-0.723926\pi\) | |||||||
\(602\) | −23.4202 | − | 42.9607i | −0.954536 | − | 1.75095i | ||||
\(603\) | 4.90927 | − | 10.7498i | 0.199921 | − | 0.437766i | ||||
\(604\) | −2.31614 | + | 15.9541i | −0.0942423 | + | 0.649163i | ||||
\(605\) | −1.02227 | + | 3.48154i | −0.0415613 | + | 0.141545i | ||||
\(606\) | −6.01532 | − | 2.24829i | −0.244356 | − | 0.0913304i | ||||
\(607\) | −14.9222 | + | 6.81475i | −0.605675 | + | 0.276602i | −0.694555 | − | 0.719440i | \(-0.744399\pi\) |
0.0888800 | + | 0.996042i | \(0.471671\pi\) | |||||||
\(608\) | 23.0760 | − | 8.51712i | 0.935857 | − | 0.345415i | ||||
\(609\) | 21.1888 | + | 18.3602i | 0.858612 | + | 0.743991i | ||||
\(610\) | −2.28899 | + | 31.6995i | −0.0926785 | + | 1.28347i | ||||
\(611\) | 0.455075 | + | 1.54984i | 0.0184104 | + | 0.0627000i | ||||
\(612\) | 1.13027 | + | 7.93832i | 0.0456886 | + | 0.320887i | ||||
\(613\) | −15.0169 | − | 23.3668i | −0.606528 | − | 0.943776i | −0.999704 | − | 0.0243129i | \(-0.992260\pi\) |
0.393176 | − | 0.919463i | \(-0.371376\pi\) | |||||||
\(614\) | 2.02980 | + | 5.45349i | 0.0819160 | + | 0.220085i | ||||
\(615\) | −3.83365 | − | 26.6636i | −0.154588 | − | 1.07518i | ||||
\(616\) | −48.7951 | − | 3.59057i | −1.96601 | − | 0.144668i | ||||
\(617\) | 1.29068 | + | 0.185572i | 0.0519609 | + | 0.00747085i | 0.168246 | − | 0.985745i | \(-0.446190\pi\) |
−0.116285 | + | 0.993216i | \(0.537099\pi\) | |||||||
\(618\) | −1.39514 | − | 19.6960i | −0.0561209 | − | 0.792290i | ||||
\(619\) | −6.19914 | − | 7.15419i | −0.249164 | − | 0.287551i | 0.617365 | − | 0.786677i | \(-0.288200\pi\) |
−0.866530 | + | 0.499126i | \(0.833655\pi\) | |||||||
\(620\) | −8.42427 | + | 28.5459i | −0.338327 | + | 1.14643i | ||||
\(621\) | 4.09597 | + | 2.49460i | 0.164366 | + | 0.100105i | ||||
\(622\) | −13.5659 | − | 18.1478i | −0.543943 | − | 0.727660i | ||||
\(623\) | −13.6698 | + | 11.8449i | −0.547668 | + | 0.474557i | ||||
\(624\) | −4.72888 | + | 2.14399i | −0.189307 | + | 0.0858281i | ||||
\(625\) | 3.39089 | − | 23.5842i | 0.135636 | − | 0.943366i | ||||
\(626\) | 34.8293 | − | 7.55170i | 1.39206 | − | 0.301827i | ||||
\(627\) | −15.3144 | + | 2.20188i | −0.611598 | + | 0.0879346i | ||||
\(628\) | 4.34007 | + | 2.79759i | 0.173188 | + | 0.111636i | ||||
\(629\) | 24.3731 | − | 15.6636i | 0.971818 | − | 0.624550i | ||||
\(630\) | −7.20950 | + | 13.1818i | −0.287233 | + | 0.525174i | ||||
\(631\) | −13.1603 | + | 3.86422i | −0.523905 | + | 0.153832i | −0.532982 | − | 0.846126i | \(-0.678929\pi\) |
0.00907732 | + | 0.999959i | \(0.497111\pi\) | |||||||
\(632\) | −9.60534 | − | 3.60508i | −0.382080 | − | 0.143402i | ||||
\(633\) | −0.691045 | + | 0.797509i | −0.0274666 | + | 0.0316981i | ||||
\(634\) | −20.9360 | + | 27.9273i | −0.831473 | + | 1.10914i | ||||
\(635\) | −8.74100 | − | 19.1401i | −0.346876 | − | 0.759552i | ||||
\(636\) | −0.829540 | − | 2.83952i | −0.0328934 | − | 0.112594i | ||||
\(637\) | 20.7186 | + | 6.08353i | 0.820901 | + | 0.241038i | ||||
\(638\) | 20.5057 | + | 20.5338i | 0.811830 | + | 0.812941i | ||||
\(639\) | 3.97715 | + | 1.81630i | 0.157334 | + | 0.0718518i | ||||
\(640\) | 8.75083 | − | 23.1231i | 0.345907 | − | 0.914020i | ||||
\(641\) | −2.17973 | + | 3.39173i | −0.0860942 | + | 0.133965i | −0.881630 | − | 0.471942i | \(-0.843553\pi\) |
0.795536 | + | 0.605907i | \(0.207190\pi\) | |||||||
\(642\) | −0.106344 | + | 0.487252i | −0.00419708 | + | 0.0192303i | ||||
\(643\) | 43.3224 | 1.70847 | 0.854235 | − | 0.519887i | \(-0.174026\pi\) | ||||
0.854235 | + | 0.519887i | \(0.174026\pi\) | |||||||
\(644\) | 20.3328 | + | 41.9644i | 0.801225 | + | 1.65363i | ||||
\(645\) | −15.5520 | −0.612358 | ||||||||
\(646\) | −5.25710 | + | 24.0872i | −0.206838 | + | 0.947697i | ||||
\(647\) | 5.29520 | − | 8.23950i | 0.208176 | − | 0.323928i | −0.721427 | − | 0.692490i | \(-0.756514\pi\) |
0.929603 | + | 0.368562i | \(0.120150\pi\) | |||||||
\(648\) | −2.76502 | + | 0.595552i | −0.108620 | + | 0.0233955i | ||||
\(649\) | −18.4437 | − | 8.42295i | −0.723978 | − | 0.330630i | ||||
\(650\) | −0.291313 | − | 0.291712i | −0.0114262 | − | 0.0114419i | ||||
\(651\) | 31.7659 | + | 9.32732i | 1.24501 | + | 0.365567i | ||||
\(652\) | 36.4974 | − | 10.6624i | 1.42935 | − | 0.417571i | ||||
\(653\) | −18.6361 | − | 40.8073i | −0.729285 | − | 1.59691i | −0.800416 | − | 0.599445i | \(-0.795388\pi\) |
0.0711307 | − | 0.997467i | \(-0.477339\pi\) | |||||||
\(654\) | 6.70087 | − | 8.93856i | 0.262025 | − | 0.349525i | ||||
\(655\) | −0.921180 | + | 1.06310i | −0.0359935 | + | 0.0415387i | ||||
\(656\) | 47.3484 | − | 13.7621i | 1.84864 | − | 0.537320i | ||||
\(657\) | 0.613693 | − | 0.180197i | 0.0239425 | − | 0.00703014i | ||||
\(658\) | −4.10539 | + | 7.50624i | −0.160045 | + | 0.292624i | ||||
\(659\) | −7.25489 | + | 4.66243i | −0.282610 | + | 0.181623i | −0.674265 | − | 0.738490i | \(-0.735539\pi\) |
0.391654 | + | 0.920112i | \(0.371903\pi\) | |||||||
\(660\) | −8.42544 | + | 13.0709i | −0.327960 | + | 0.508783i | ||||
\(661\) | 13.5592 | − | 1.94952i | 0.527392 | − | 0.0758276i | 0.126524 | − | 0.991963i | \(-0.459618\pi\) |
0.400868 | + | 0.916136i | \(0.368709\pi\) | |||||||
\(662\) | 22.4977 | − | 4.87797i | 0.874400 | − | 0.189588i | ||||
\(663\) | 0.740625 | − | 5.15116i | 0.0287635 | − | 0.200054i | ||||
\(664\) | 3.09711 | − | 14.0978i | 0.120191 | − | 0.547101i | ||||
\(665\) | −34.9126 | + | 30.2519i | −1.35385 | + | 1.17312i | ||||
\(666\) | 6.11889 | + | 8.18555i | 0.237102 | + | 0.317184i | ||||
\(667\) | 7.14864 | − | 26.7176i | 0.276796 | − | 1.03451i | ||||
\(668\) | 0.569011 | + | 0.167923i | 0.0220157 | + | 0.00649712i | ||||
\(669\) | 8.19993 | + | 9.46322i | 0.317027 | + | 0.365869i | ||||
\(670\) | −2.58053 | − | 36.4308i | −0.0996947 | − | 1.40744i | ||||
\(671\) | 36.2194 | + | 5.20757i | 1.39824 | + | 0.201036i | ||||
\(672\) | −25.7344 | − | 9.69883i | −0.992725 | − | 0.374141i | ||||
\(673\) | −5.21988 | − | 36.3050i | −0.201211 | − | 1.39946i | −0.800696 | − | 0.599070i | \(-0.795537\pi\) |
0.599485 | − | 0.800386i | \(-0.295372\pi\) | |||||||
\(674\) | −4.83413 | − | 12.9879i | −0.186204 | − | 0.500277i | ||||
\(675\) | −0.121416 | − | 0.188927i | −0.00467329 | − | 0.00727179i | ||||
\(676\) | −22.4042 | + | 3.18995i | −0.861699 | + | 0.122690i | ||||
\(677\) | 6.90171 | + | 23.5051i | 0.265254 | + | 0.903373i | 0.979153 | + | 0.203124i | \(0.0651095\pi\) |
−0.713899 | + | 0.700249i | \(0.753072\pi\) | |||||||
\(678\) | −0.783178 | + | 10.8460i | −0.0300778 | + | 0.416537i | ||||
\(679\) | 24.8563 | + | 21.5381i | 0.953896 | + | 0.826556i | ||||
\(680\) | 14.8096 | + | 19.8681i | 0.567921 | + | 0.761908i | ||||
\(681\) | 4.15246 | − | 1.89636i | 0.159123 | − | 0.0726688i | ||||
\(682\) | 32.0985 | + | 11.9972i | 1.22912 | + | 0.459395i | ||||
\(683\) | 3.91512 | − | 13.3337i | 0.149808 | − | 0.510199i | −0.850056 | − | 0.526692i | \(-0.823432\pi\) |
0.999864 | + | 0.0164931i | \(0.00525015\pi\) | |||||||
\(684\) | −8.60637 | − | 1.24943i | −0.329073 | − | 0.0477732i | ||||
\(685\) | −12.5292 | + | 27.4350i | −0.478714 | + | 1.04824i | ||||
\(686\) | 31.7081 | + | 58.1637i | 1.21062 | + | 2.22070i | ||||
\(687\) | −11.9996 | − | 7.71166i | −0.457812 | − | 0.294218i | ||||
\(688\) | −3.97413 | − | 28.1881i | −0.151512 | − | 1.07466i | ||||
\(689\) | 1.91995i | 0.0731444i | ||||||||
\(690\) | 14.8042 | + | 0.710012i | 0.563588 | + | 0.0270297i | ||||
\(691\) | − | 8.50130i | − | 0.323405i | −0.986840 | − | 0.161702i | \(-0.948302\pi\) | ||
0.986840 | − | 0.161702i | \(-0.0516984\pi\) | |||||||
\(692\) | 28.7314 | − | 13.0737i | 1.09220 | − | 0.496987i | ||||
\(693\) | 14.5523 | + | 9.35218i | 0.552795 | + | 0.355260i | ||||
\(694\) | −35.4945 | + | 19.3500i | −1.34735 | + | 0.734515i | ||||
\(695\) | 8.80654 | − | 19.2836i | 0.334051 | − | 0.731470i | ||||
\(696\) | 7.78786 | + | 14.3322i | 0.295198 | + | 0.543263i | ||||
\(697\) | −13.9235 | + | 47.4192i | −0.527392 | + | 1.79613i | ||||
\(698\) | 7.05339 | − | 18.8714i | 0.266975 | − | 0.714294i | ||||
\(699\) | 26.5207 | − | 12.1116i | 1.00311 | − | 0.458103i | ||||
\(700\) | 0.00298780 | − | 2.18361i | 0.000112928 | − | 0.0825327i | ||||
\(701\) | 24.9280 | + | 21.6003i | 0.941518 | + | 0.815830i | 0.983056 | − | 0.183307i | \(-0.0586801\pi\) |
−0.0415373 | + | 0.999137i | \(0.513226\pi\) | |||||||
\(702\) | 1.83095 | + | 0.132211i | 0.0691049 | + | 0.00499000i | ||||
\(703\) | 8.85284 | + | 30.1500i | 0.333891 | + | 1.13713i | ||||
\(704\) | −25.8441 | − | 11.9311i | −0.974037 | − | 0.449669i | ||||
\(705\) | 1.47018 | + | 2.28764i | 0.0553701 | + | 0.0861575i | ||||
\(706\) | −27.7956 | + | 10.3456i | −1.04610 | + | 0.389361i | ||||
\(707\) | 3.14172 | + | 21.8512i | 0.118157 | + | 0.821798i | ||||
\(708\) | −8.60299 | − | 7.47517i | −0.323320 | − | 0.280934i | ||||
\(709\) | 24.8581 | + | 3.57405i | 0.933564 | + | 0.134226i | 0.592279 | − | 0.805733i | \(-0.298229\pi\) |
0.341286 | + | 0.939960i | \(0.389138\pi\) | |||||||
\(710\) | 13.4785 | − | 0.954730i | 0.505838 | − | 0.0358304i | ||||
\(711\) | 2.37538 | + | 2.74134i | 0.0890838 | + | 0.102808i | ||||
\(712\) | −9.86727 | + | 3.65725i | −0.369791 | + | 0.137061i | ||||
\(713\) | −5.42748 | − | 32.2050i | −0.203261 | − | 1.20609i | ||||
\(714\) | 22.0779 | − | 16.5037i | 0.826243 | − | 0.617636i | ||||
\(715\) | 7.62781 | − | 6.60953i | 0.285264 | − | 0.247182i | ||||
\(716\) | 9.94121 | + | 11.5045i | 0.371520 | + | 0.429945i | ||||
\(717\) | −0.643070 | + | 4.47265i | −0.0240159 | + | 0.167034i | ||||
\(718\) | −0.402005 | − | 1.85409i | −0.0150027 | − | 0.0691941i | ||||
\(719\) | −30.4793 | + | 4.38227i | −1.13669 | + | 0.163431i | −0.684860 | − | 0.728674i | \(-0.740137\pi\) |
−0.451827 | + | 0.892105i | \(0.649228\pi\) | |||||||
\(720\) | −6.62172 | + | 5.70610i | −0.246777 | + | 0.212654i | ||||
\(721\) | −57.1027 | + | 36.6977i | −2.12661 | + | 1.36669i | ||||
\(722\) | 0.114576 | + | 0.0626651i | 0.00426408 | + | 0.00233215i | ||||
\(723\) | 18.8163 | − | 5.52495i | 0.699784 | − | 0.205475i | ||||
\(724\) | 2.98994 | − | 1.91574i | 0.111120 | − | 0.0711979i | ||||
\(725\) | −0.848132 | + | 0.978796i | −0.0314988 | + | 0.0363516i | ||||
\(726\) | 1.87888 | + | 1.40852i | 0.0697319 | + | 0.0522751i | ||||
\(727\) | −2.74061 | − | 6.00110i | −0.101644 | − | 0.222568i | 0.851977 | − | 0.523579i | \(-0.175403\pi\) |
−0.953621 | + | 0.301010i | \(0.902676\pi\) | |||||||
\(728\) | 14.2669 | + | 10.7259i | 0.528768 | + | 0.397527i | ||||
\(729\) | 0.959493 | + | 0.281733i | 0.0355368 | + | 0.0104345i | ||||
\(730\) | 1.39866 | − | 1.39675i | 0.0517668 | − | 0.0516960i | ||||
\(731\) | 25.9539 | + | 11.8527i | 0.959938 | + | 0.438389i | ||||
\(732\) | 18.6975 | + | 8.56981i | 0.691081 | + | 0.316749i | ||||
\(733\) | −0.837040 | + | 1.30246i | −0.0309168 | + | 0.0481075i | −0.856368 | − | 0.516366i | \(-0.827284\pi\) |
0.825451 | + | 0.564474i | \(0.190921\pi\) | |||||||
\(734\) | −31.3146 | − | 6.83452i | −1.15584 | − | 0.252267i | ||||
\(735\) | 36.3524 | 1.34088 | ||||||||
\(736\) | 2.49615 | + | 27.0142i | 0.0920095 | + | 0.995758i | ||||
\(737\) | −42.0493 | −1.54891 | ||||||||
\(738\) | −17.0320 | − | 3.71730i | −0.626957 | − | 0.136836i | ||||
\(739\) | 5.44821 | − | 8.47758i | 0.200416 | − | 0.311853i | −0.726469 | − | 0.687199i | \(-0.758840\pi\) |
0.926885 | + | 0.375346i | \(0.122476\pi\) | |||||||
\(740\) | 28.7116 | + | 13.1596i | 1.05546 | + | 0.483758i | ||||
\(741\) | 5.13424 | + | 2.34473i | 0.188611 | + | 0.0861357i | ||||
\(742\) | −7.19574 | + | 7.18591i | −0.264164 | + | 0.263803i | ||||
\(743\) | −11.9600 | − | 3.51178i | −0.438771 | − | 0.128835i | 0.0548837 | − | 0.998493i | \(-0.482521\pi\) |
−0.493655 | + | 0.869658i | \(0.664339\pi\) | |||||||
\(744\) | 15.3957 | + | 11.5745i | 0.564435 | + | 0.424341i | ||||
\(745\) | 6.11877 | + | 13.3982i | 0.224175 | + | 0.490874i | ||||
\(746\) | −7.86459 | − | 5.89576i | −0.287943 | − | 0.215859i | ||||
\(747\) | −3.34188 | + | 3.85673i | −0.122273 | + | 0.141111i | ||||
\(748\) | 24.0226 | − | 15.3920i | 0.878352 | − | 0.562786i | ||||
\(749\) | 1.64500 | − | 0.483014i | 0.0601068 | − | 0.0176490i | ||||
\(750\) | −14.1659 | − | 7.74777i | −0.517267 | − | 0.282909i | ||||
\(751\) | −27.2303 | + | 17.4999i | −0.993648 | + | 0.638579i | −0.933112 | − | 0.359587i | \(-0.882918\pi\) |
−0.0605366 | + | 0.998166i | \(0.519281\pi\) | |||||||
\(752\) | −3.77068 | + | 3.24929i | −0.137503 | + | 0.118489i | ||||
\(753\) | 5.86981 | − | 0.843951i | 0.213908 | − | 0.0307553i | ||||
\(754\) | −2.24326 | − | 10.3462i | −0.0816946 | − | 0.376785i | ||||
\(755\) | 2.50684 | − | 17.4355i | 0.0912334 | − | 0.634542i | ||||
\(756\) | 6.35728 | + | 7.35701i | 0.231212 | + | 0.267572i | ||||
\(757\) | 37.2021 | − | 32.2358i | 1.35213 | − | 1.17163i | 0.383383 | − | 0.923590i | \(-0.374759\pi\) |
0.968750 | − | 0.248040i | \(-0.0797864\pi\) | |||||||
\(758\) | −5.48226 | + | 4.09812i | −0.199125 | + | 0.148850i | ||||
\(759\) | 2.01975 | − | 16.9443i | 0.0733121 | − | 0.615041i | ||||
\(760\) | −25.2010 | + | 9.34061i | −0.914136 | + | 0.338819i | ||||
\(761\) | 2.57358 | + | 2.97007i | 0.0932923 | + | 0.107665i | 0.800476 | − | 0.599365i | \(-0.204580\pi\) |
−0.707184 | + | 0.707030i | \(0.750035\pi\) | |||||||
\(762\) | −13.5832 | + | 0.962147i | −0.492066 | + | 0.0348549i | ||||
\(763\) | −38.0126 | − | 5.46539i | −1.37615 | − | 0.197860i | ||||
\(764\) | 23.4434 | + | 20.3700i | 0.848152 | + | 0.736962i | ||||
\(765\) | −1.24685 | − | 8.67200i | −0.0450798 | − | 0.313537i | ||||
\(766\) | 32.3835 | − | 12.0532i | 1.17006 | − | 0.435499i | ||||
\(767\) | 3.99906 | + | 6.22265i | 0.144398 | + | 0.224687i | ||||
\(768\) | −12.0345 | − | 10.5438i | −0.434256 | − | 0.380466i | ||||
\(769\) | −7.17231 | − | 24.4267i | −0.258640 | − | 0.880848i | −0.981760 | − | 0.190125i | \(-0.939111\pi\) |
0.723120 | − | 0.690723i | \(-0.242707\pi\) | |||||||
\(770\) | 53.3207 | + | 3.85024i | 1.92154 | + | 0.138753i | ||||
\(771\) | 2.20926 | + | 1.91434i | 0.0795646 | + | 0.0689431i | ||||
\(772\) | −0.0376344 | + | 27.5048i | −0.00135449 | + | 0.989921i | ||||
\(773\) | 3.92077 | − | 1.79055i | 0.141020 | − | 0.0644018i | −0.343655 | − | 0.939096i | \(-0.611665\pi\) |
0.484675 | + | 0.874694i | \(0.338938\pi\) | |||||||
\(774\) | −3.52365 | + | 9.42757i | −0.126655 | + | 0.338867i | ||||
\(775\) | −0.430868 | + | 1.46740i | −0.0154772 | + | 0.0527106i | ||||
\(776\) | 9.13584 | + | 16.8130i | 0.327958 | + | 0.603551i | ||||
\(777\) | 14.5945 | − | 31.9574i | 0.523574 | − | 1.14647i | ||||
\(778\) | −24.0844 | + | 13.1297i | −0.863466 | + | 0.470722i | ||||
\(779\) | −45.0923 | − | 28.9790i | −1.61560 | − | 1.03828i | ||||
\(780\) | 5.16373 | − | 2.34967i | 0.184891 | − | 0.0841315i | ||||
\(781\) | − | 15.5572i | − | 0.556679i | ||||||
\(782\) | −24.1649 | − | 12.4678i | −0.864134 | − | 0.445846i | ||||
\(783\) | − | 5.76698i | − | 0.206095i | ||||||
\(784\) | 9.28946 | + | 65.8891i | 0.331766 | + | 2.35318i | ||||
\(785\) | −4.74630 | − | 3.05026i | −0.169403 | − | 0.108869i | ||||
\(786\) | 0.435734 | + | 0.799287i | 0.0155421 | + | 0.0285096i | ||||
\(787\) | −9.52703 | + | 20.8613i | −0.339602 | + | 0.743624i | −0.999973 | − | 0.00731478i | \(-0.997672\pi\) |
0.660371 | + | 0.750939i | \(0.270399\pi\) | |||||||
\(788\) | 4.48202 | + | 0.650678i | 0.159665 | + | 0.0231794i | ||||
\(789\) | 0.0903137 | − | 0.307580i | 0.00321525 | − | 0.0109501i | ||||
\(790\) | 10.5005 | + | 3.92468i | 0.373592 | + | 0.139634i | ||||
\(791\) | 34.0039 | − | 15.5290i | 1.20904 | − | 0.552149i | ||||
\(792\) | 6.01457 | + | 8.06899i | 0.213718 | + | 0.286719i | ||||
\(793\) | −10.0886 | − | 8.74180i | −0.358256 | − | 0.310430i | ||||
\(794\) | −3.28776 | + | 45.5312i | −0.116678 | + | 1.61584i | ||||
\(795\) | 0.910631 | + | 3.10132i | 0.0322967 | + | 0.109993i | ||||
\(796\) | −51.6396 | + | 7.35255i | −1.83032 | + | 0.260604i | ||||
\(797\) | −7.43048 | − | 11.5621i | −0.263201 | − | 0.409549i | 0.684350 | − | 0.729154i | \(-0.260086\pi\) |
−0.947551 | + | 0.319605i | \(0.896450\pi\) | |||||||
\(798\) | 10.4284 | + | 28.0182i | 0.369162 | + | 0.991834i | ||||
\(799\) | −0.710006 | − | 4.93820i | −0.0251182 | − | 0.174701i | ||||
\(800\) | 0.448029 | − | 1.18878i | 0.0158402 | − | 0.0420296i | ||||
\(801\) | 3.68265 | + | 0.529486i | 0.130120 | + | 0.0187085i | ||||
\(802\) | −2.45276 | − | 34.6270i | −0.0866099 | − | 1.22272i | ||||
\(803\) | −1.49033 | − | 1.71993i | −0.0525927 | − | 0.0606952i | ||||
\(804\) | −22.6690 | − | 6.68991i | −0.799472 | − | 0.235935i | ||||
\(805\) | −22.2791 | − | 45.8214i | −0.785235 | − | 1.61499i | ||||
\(806\) | −7.48476 | − | 10.0127i | −0.263639 | − | 0.352684i | ||||
\(807\) | −7.23445 | + | 6.26869i | −0.254665 | + | 0.220668i | ||||
\(808\) | −2.75583 | + | 12.5444i | −0.0969499 | + | 0.441309i | ||||
\(809\) | 0.767162 | − | 5.33573i | 0.0269720 | − | 0.187594i | −0.971881 | − | 0.235471i | \(-0.924337\pi\) |
0.998853 | + | 0.0478773i | \(0.0152457\pi\) | |||||||
\(810\) | 3.02027 | − | 0.654855i | 0.106121 | − | 0.0230093i | ||||
\(811\) | 4.22034 | − | 0.606794i | 0.148196 | − | 0.0213074i | −0.0678174 | − | 0.997698i | \(-0.521604\pi\) |
0.216014 | + | 0.976390i | \(0.430694\pi\) | |||||||
\(812\) | 30.3801 | − | 47.1305i | 1.06613 | − | 1.65396i | ||||
\(813\) | 21.1986 | − | 13.6235i | 0.743467 | − | 0.477797i | ||||
\(814\) | 17.4490 | − | 31.9036i | 0.611588 | − | 1.11822i | ||||
\(815\) | −39.8624 | + | 11.7047i | −1.39632 | + | 0.409996i | ||||
\(816\) | 15.3995 | − | 4.47595i | 0.539089 | − | 0.156690i | ||||
\(817\) | −20.2650 | + | 23.3871i | −0.708984 | + | 0.818211i | ||||
\(818\) | −4.27540 | + | 5.70313i | −0.149486 | + | 0.199405i | ||||
\(819\) | −2.62152 | − | 5.74033i | −0.0916033 | − | 0.200583i | ||||
\(820\) | −51.7140 | + | 15.1078i | −1.80593 | + | 0.527586i | ||||
\(821\) | 9.19090 | + | 2.69869i | 0.320765 | + | 0.0941850i | 0.438151 | − | 0.898901i | \(-0.355633\pi\) |
−0.117386 | + | 0.993086i | \(0.537452\pi\) | |||||||
\(822\) | 13.7923 | + | 13.8112i | 0.481061 | + | 0.481720i | ||||
\(823\) | 16.8747 | + | 7.70640i | 0.588214 | + | 0.268628i | 0.687209 | − | 0.726460i | \(-0.258836\pi\) |
−0.0989952 | + | 0.995088i | \(0.531563\pi\) | |||||||
\(824\) | −38.6054 | + | 8.31514i | −1.34488 | + | 0.289672i | ||||
\(825\) | −0.432016 | + | 0.672229i | −0.0150409 | + | 0.0234040i | ||||
\(826\) | −8.35425 | + | 38.2778i | −0.290682 | + | 1.33185i | ||||
\(827\) | 32.3665 | 1.12549 | 0.562747 | − | 0.826629i | \(-0.309745\pi\) | ||||
0.562747 | + | 0.826629i | \(0.309745\pi\) | |||||||
\(828\) | 3.78464 | − | 8.81343i | 0.131525 | − | 0.306288i | ||||
\(829\) | 40.6649 | 1.41235 | 0.706175 | − | 0.708037i | \(-0.250419\pi\) | ||||
0.706175 | + | 0.708037i | \(0.250419\pi\) | |||||||
\(830\) | −3.36294 | + | 15.4084i | −0.116729 | + | 0.534834i | ||||
\(831\) | −2.52633 | + | 3.93105i | −0.0876375 | + | 0.136367i | ||||
\(832\) | 5.57832 | + | 8.75889i | 0.193394 | + | 0.303660i | ||||
\(833\) | −60.6666 | − | 27.7055i | −2.10197 | − | 0.959939i | ||||
\(834\) | −9.69438 | − | 9.70765i | −0.335689 | − | 0.336149i | ||||
\(835\) | −0.621972 | − | 0.182628i | −0.0215242 | − | 0.00632009i | ||||
\(836\) | 8.67724 | + | 29.7022i | 0.300108 | + | 1.02727i | ||||
\(837\) | −2.82893 | − | 6.19450i | −0.0977823 | − | 0.214113i | ||||
\(838\) | −17.3450 | + | 23.1373i | −0.599175 | + | 0.799263i | ||||
\(839\) | 2.17494 | − | 2.51002i | 0.0750873 | − | 0.0866554i | −0.716963 | − | 0.697111i | \(-0.754468\pi\) |
0.792050 | + | 0.610456i | \(0.209014\pi\) | |||||||
\(840\) | 28.1328 | + | 10.5588i | 0.970674 | + | 0.364314i | ||||
\(841\) | −4.08553 | + | 1.19962i | −0.140880 | + | 0.0413662i | ||||
\(842\) | 6.98882 | − | 12.7783i | 0.240851 | − | 0.440368i | ||||
\(843\) | −27.0242 | + | 17.3674i | −0.930763 | + | 0.598165i | ||||
\(844\) | 1.77391 | + | 1.14346i | 0.0610605 | + | 0.0393594i | ||||
\(845\) | 24.4748 | − | 3.51895i | 0.841960 | − | 0.121056i | ||||
\(846\) | 1.71986 | − | 0.372902i | 0.0591302 | − | 0.0128206i | ||||
\(847\) | 1.14882 | − | 7.99024i | 0.0394740 | − | 0.274548i | ||||
\(848\) | −5.38848 | + | 2.44304i | −0.185041 | + | 0.0838942i | ||||
\(849\) | −9.30014 | + | 8.05862i | −0.319180 | + | 0.276571i | ||||
\(850\) | 0.762375 | + | 1.01987i | 0.0261493 | + | 0.0349812i | ||||
\(851\) | −34.6469 | + | 0.837254i | −1.18768 | + | 0.0287007i | ||||
\(852\) | 2.47509 | − | 8.38693i | 0.0847953 | − | 0.287331i | ||||
\(853\) | −34.1206 | − | 39.3773i | −1.16827 | − | 1.34825i | −0.925764 | − | 0.378102i | \(-0.876577\pi\) |
−0.242504 | − | 0.970151i | \(-0.577969\pi\) | |||||||
\(854\) | −4.99584 | − | 70.5290i | −0.170954 | − | 2.41345i | ||||
\(855\) | 9.40549 | + | 1.35231i | 0.321661 | + | 0.0462479i | ||||
\(856\) | 0.994755 | + | 0.0731987i | 0.0340000 | + | 0.00250188i | ||||
\(857\) | −3.68455 | − | 25.6266i | −0.125862 | − | 0.875388i | −0.950721 | − | 0.310049i | \(-0.899654\pi\) |
0.824859 | − | 0.565339i | \(-0.191255\pi\) | |||||||
\(858\) | −2.27843 | − | 6.12150i | −0.0777844 | − | 0.208985i | ||||
\(859\) | 10.5955 | + | 16.4869i | 0.361512 | + | 0.562524i | 0.973599 | − | 0.228267i | \(-0.0733058\pi\) |
−0.612086 | + | 0.790791i | \(0.709669\pi\) | |||||||
\(860\) | 4.38442 | + | 30.7934i | 0.149508 | + | 1.05005i | ||||
\(861\) | 16.8839 | + | 57.5013i | 0.575402 | + | 1.95964i | ||||
\(862\) | −1.55077 | + | 21.4761i | −0.0528194 | + | 0.731479i | ||||
\(863\) | −1.68893 | − | 1.46347i | −0.0574920 | − | 0.0498171i | 0.625641 | − | 0.780111i | \(-0.284838\pi\) |
−0.683133 | + | 0.730294i | \(0.739383\pi\) | |||||||
\(864\) | 1.95873 | + | 5.30692i | 0.0666372 | + | 0.180545i | ||||
\(865\) | −31.3734 | + | 14.3277i | −1.06673 | + | 0.487158i | ||||
\(866\) | 33.2835 | + | 12.4400i | 1.13102 | + | 0.422730i | ||||
\(867\) | 0.260997 | − | 0.888873i | 0.00886391 | − | 0.0301877i | ||||
\(868\) | 9.51291 | − | 65.5271i | 0.322889 | − | 2.22414i | ||||
\(869\) | 5.36156 | − | 11.7402i | 0.181879 | − | 0.398258i | ||||
\(870\) | −8.53072 | − | 15.6483i | −0.289218 | − | 0.530527i | ||||
\(871\) | 12.9049 | + | 8.29344i | 0.437264 | + | 0.281013i | ||||
\(872\) | −19.5877 | − | 10.7480i | −0.663324 | − | 0.363972i | ||||
\(873\) | − | 6.76517i | − | 0.228966i | ||||||
\(874\) | 20.3584 | − | 21.3375i | 0.688633 | − | 0.721750i | ||||
\(875\) | 55.5056i | 1.87643i | ||||||||
\(876\) | −0.529808 | − | 1.16433i | −0.0179005 | − | 0.0393391i | ||||
\(877\) | 0.0327853 | + | 0.0210698i | 0.00110708 | + | 0.000711477i | 0.541194 | − | 0.840898i | \(-0.317972\pi\) |
−0.540087 | + | 0.841609i | \(0.681609\pi\) | |||||||
\(878\) | −10.2317 | + | 5.57783i | −0.345302 | + | 0.188243i | ||||
\(879\) | 12.1012 | − | 26.4979i | 0.408162 | − | 0.893751i | ||||
\(880\) | 28.2560 | + | 12.9977i | 0.952511 | + | 0.438151i | ||||
\(881\) | −1.64743 | + | 5.61065i | −0.0555035 | + | 0.189027i | −0.982578 | − | 0.185849i | \(-0.940497\pi\) |
0.927075 | + | 0.374876i | \(0.122315\pi\) | |||||||
\(882\) | 8.23646 | − | 22.0368i | 0.277336 | − | 0.742016i | ||||
\(883\) | −16.4554 | + | 7.51492i | −0.553768 | + | 0.252897i | −0.672586 | − | 0.740019i | \(-0.734817\pi\) |
0.118819 | + | 0.992916i | \(0.462089\pi\) | |||||||
\(884\) | −10.4082 | − | 0.0142414i | −0.350067 | − | 0.000478991i | ||||
\(885\) | 9.41112 | + | 8.15478i | 0.316351 | + | 0.274120i | ||||
\(886\) | 40.1955 | + | 2.90248i | 1.35039 | + | 0.0975106i | ||||
\(887\) | 11.6225 | + | 39.5826i | 0.390246 | + | 1.32905i | 0.887243 | + | 0.461303i | \(0.152618\pi\) |
−0.496997 | + | 0.867752i | \(0.665564\pi\) | |||||||
\(888\) | 14.4826 | − | 14.4233i | 0.486004 | − | 0.484013i | ||||
\(889\) | 25.3082 | + | 39.3803i | 0.848809 | + | 1.32077i | ||||
\(890\) | 10.7759 | − | 4.01079i | 0.361208 | − | 0.134442i | ||||
\(891\) | −0.506378 | − | 3.52193i | −0.0169643 | − | 0.117989i | ||||
\(892\) | 16.4257 | − | 18.9040i | 0.549974 | − | 0.632952i | ||||
\(893\) | 5.35588 | + | 0.770059i | 0.179228 | + | 0.0257690i | ||||
\(894\) | 9.50834 | − | 0.673512i | 0.318006 | − | 0.0225256i | ||||
\(895\) | −10.8793 | − | 12.5554i | −0.363656 | − | 0.419681i | ||||
\(896\) | −11.9489 | + | 53.6892i | −0.399186 | + | 1.79363i | ||||
\(897\) | −3.96181 | + | 4.80183i | −0.132281 | + | 0.160328i | ||||
\(898\) | −13.6664 | + | 10.2160i | −0.456054 | + | 0.340911i | ||||
\(899\) | −29.6802 | + | 25.7180i | −0.989890 | + | 0.857744i | ||||
\(900\) | −0.339851 | + | 0.293669i | −0.0113284 | + | 0.00978897i | ||||
\(901\) | 0.843929 | − | 5.86966i | 0.0281154 | − | 0.195547i | ||||
\(902\) | 13.1438 | + | 60.6206i | 0.437640 | + | 2.01844i | ||||
\(903\) | 34.2465 | − | 4.92390i | 1.13965 | − | 0.163857i | ||||
\(904\) | 21.6962 | − | 1.50699i | 0.721604 | − | 0.0501217i | ||||
\(905\) | −3.26405 | + | 2.09768i | −0.108501 | + | 0.0697291i | ||||
\(906\) | −10.0014 | − | 5.47005i | −0.332273 | − | 0.181730i | ||||
\(907\) | 10.9137 | − | 3.20455i | 0.362383 | − | 0.106405i | −0.0954718 | − | 0.995432i | \(-0.530436\pi\) |
0.457855 | + | 0.889027i | \(0.348618\pi\) | |||||||
\(908\) | −4.92552 | − | 7.68737i | −0.163459 | − | 0.255114i | ||||
\(909\) | 2.97363 | − | 3.43176i | 0.0986292 | − | 0.113824i | ||||
\(910\) | −15.6046 | − | 11.6981i | −0.517288 | − | 0.387789i | ||||
\(911\) | 8.61297 | + | 18.8598i | 0.285360 | + | 0.624852i | 0.996975 | − | 0.0777176i | \(-0.0247633\pi\) |
−0.711615 | + | 0.702570i | \(0.752036\pi\) | |||||||
\(912\) | −0.0475975 | + | 17.3931i | −0.00157611 | + | 0.575943i | ||||
\(913\) | 17.4224 | + | 5.11568i | 0.576597 | + | 0.169304i | ||||
\(914\) | 28.5395 | − | 28.5005i | 0.944004 | − | 0.942713i | ||||
\(915\) | −20.4424 | − | 9.33573i | −0.675805 | − | 0.308630i | ||||
\(916\) | −11.8864 | + | 25.9336i | −0.392737 | + | 0.856870i | ||||
\(917\) | 1.69191 | − | 2.63267i | 0.0558719 | − | 0.0869383i | ||||
\(918\) | −5.53945 | − | 1.20900i | −0.182829 | − | 0.0399031i | ||||
\(919\) | 45.5289 | 1.50186 | 0.750930 | − | 0.660382i | \(-0.229606\pi\) | ||||
0.750930 | + | 0.660382i | \(0.229606\pi\) | |||||||
\(920\) | −2.76777 | − | 29.5130i | −0.0912508 | − | 0.973015i | ||||
\(921\) | −4.11465 | −0.135582 | ||||||||
\(922\) | −1.58978 | − | 0.346974i | −0.0523566 | − | 0.0114270i | ||||
\(923\) | −3.06836 | + | 4.77446i | −0.100996 | + | 0.157153i | ||||
\(924\) | 14.4150 | − | 31.4505i | 0.474219 | − | 1.03465i | ||||
\(925\) | 1.47625 | + | 0.674179i | 0.0485387 | + | 0.0221669i | ||||
\(926\) | −41.4684 | + | 41.4117i | −1.36274 | + | 1.36087i | ||||
\(927\) | 13.3965 | + | 3.93357i | 0.439999 | + | 0.129195i | ||||
\(928\) | 26.1827 | − | 19.4608i | 0.859490 | − | 0.638830i | ||||
\(929\) | −3.38063 | − | 7.40255i | −0.110915 | − | 0.242870i | 0.846032 | − | 0.533131i | \(-0.178985\pi\) |
−0.956947 | + | 0.290262i | \(0.906258\pi\) | |||||||
\(930\) | −16.8392 | − | 12.6237i | −0.552181 | − | 0.413947i | ||||
\(931\) | 47.3691 | − | 54.6669i | 1.55246 | − | 1.79163i | ||||
\(932\) | −31.4581 | − | 49.0973i | −1.03044 | − | 1.60824i | ||||
\(933\) | 15.3725 | − | 4.51377i | 0.503273 | − | 0.147774i | ||||
\(934\) | 39.4310 | + | 21.5660i | 1.29022 | + | 0.705661i | ||||
\(935\) | −26.2249 | + | 16.8537i | −0.857646 | + | 0.551176i | ||||
\(936\) | −0.254401 | − | 3.66262i | −0.00831535 | − | 0.119716i | ||||
\(937\) | −40.9784 | + | 5.89180i | −1.33871 | + | 0.192477i | −0.774194 | − | 0.632948i | \(-0.781844\pi\) |
−0.564511 | + | 0.825425i | \(0.690935\pi\) | |||||||
\(938\) | 17.2168 | + | 79.4060i | 0.562150 | + | 2.59270i | ||||
\(939\) | −3.58637 | + | 24.9438i | −0.117037 | + | 0.814010i | ||||
\(940\) | 4.11512 | − | 3.55593i | 0.134221 | − | 0.115982i | ||||
\(941\) | −40.7187 | + | 35.2829i | −1.32739 | + | 1.15019i | −0.350473 | + | 0.936573i | \(0.613979\pi\) |
−0.976917 | + | 0.213617i | \(0.931476\pi\) | |||||||
\(942\) | −2.92445 | + | 2.18609i | −0.0952836 | + | 0.0712267i | ||||
\(943\) | 43.7301 | − | 39.7821i | 1.42405 | − | 1.29548i | ||||
\(944\) | −12.3757 | + | 19.1416i | −0.402795 | + | 0.623006i | ||||
\(945\) | −6.95720 | − | 8.02903i | −0.226318 | − | 0.261184i | ||||
\(946\) | 35.7217 | − | 2.53030i | 1.16141 | − | 0.0822673i | ||||
\(947\) | −2.77447 | − | 0.398909i | −0.0901583 | − | 0.0129628i | 0.0970880 | − | 0.995276i | \(-0.469047\pi\) |
−0.187246 | + | 0.982313i | \(0.559956\pi\) | |||||||
\(948\) | 4.75826 | − | 5.47617i | 0.154541 | − | 0.177858i | ||||
\(949\) | 0.118155 | + | 0.821785i | 0.00383547 | + | 0.0266763i | ||||
\(950\) | −1.29428 | + | 0.481732i | −0.0419919 | + | 0.0156294i | ||||
\(951\) | −13.3433 | − | 20.7625i | −0.432685 | − | 0.673271i | ||||
\(952\) | −38.9021 | − | 39.0621i | −1.26082 | − | 1.26601i | ||||
\(953\) | −7.32043 | − | 24.9311i | −0.237132 | − | 0.807598i | −0.988953 | − | 0.148230i | \(-0.952642\pi\) |
0.751821 | − | 0.659367i | \(-0.229176\pi\) | |||||||
\(954\) | 2.08634 | + | 0.150653i | 0.0675478 | + | 0.00487756i | ||||
\(955\) | −25.6455 | − | 22.2220i | −0.829870 | − | 0.719086i | ||||
\(956\) | 9.03728 | + | 0.0123656i | 0.292287 | + | 0.000399931i | ||||
\(957\) | −18.6654 | + | 8.52422i | −0.603368 | + | 0.275549i | ||||
\(958\) | −12.5860 | + | 33.6741i | −0.406637 | + | 1.08796i | ||||
\(959\) | 18.9038 | − | 64.3806i | 0.610437 | − | 2.07896i | ||||
\(960\) | 13.1651 | + | 11.5025i | 0.424900 | + | 0.371243i | ||||
\(961\) | −6.38689 | + | 13.9853i | −0.206029 | + | 0.451140i | ||||
\(962\) | −11.6475 | + | 6.34965i | −0.375529 | + | 0.204721i | ||||
\(963\) | −0.296668 | − | 0.190657i | −0.00955999 | − | 0.00614383i | ||||
\(964\) | −16.2443 | − | 35.6992i | −0.523193 | − | 1.14979i | ||||
\(965\) | − | 30.0528i | − | 0.967435i | ||||||
\(966\) | −32.8247 | + | 3.12367i | −1.05612 | + | 0.100502i | ||||
\(967\) | 13.1467i | 0.422769i | 0.977403 | + | 0.211384i | \(0.0677972\pi\) | ||||
−0.977403 | + | 0.211384i | \(0.932203\pi\) | |||||||
\(968\) | 2.25922 | − | 4.11734i | 0.0726140 | − | 0.132336i | ||||
\(969\) | −14.6657 | − | 9.42506i | −0.471130 | − | 0.302777i | ||||
\(970\) | −10.0073 | − | 18.3568i | −0.321315 | − | 0.589402i | ||||
\(971\) | −12.6281 | + | 27.6517i | −0.405255 | + | 0.887384i | 0.591456 | + | 0.806338i | \(0.298553\pi\) |
−0.996710 | + | 0.0810464i | \(0.974174\pi\) | |||||||
\(972\) | 0.287338 | − | 1.97925i | 0.00921637 | − | 0.0634845i | ||||
\(973\) | −13.2872 | + | 45.2521i | −0.425968 | + | 1.45072i | ||||
\(974\) | 17.5384 | + | 6.55515i | 0.561966 | + | 0.210040i | ||||
\(975\) | 0.265169 | − | 0.121099i | 0.00849222 | − | 0.00387827i | ||||
\(976\) | 11.6973 | − | 39.4377i | 0.374421 | − | 1.26237i | ||||
\(977\) | 6.42228 | + | 5.56494i | 0.205467 | + | 0.178038i | 0.751516 | − | 0.659715i | \(-0.229323\pi\) |
−0.546049 | + | 0.837754i | \(0.683869\pi\) | |||||||
\(978\) | −1.93639 | + | 26.8165i | −0.0619190 | + | 0.857496i | ||||
\(979\) | −3.72963 | − | 12.7019i | −0.119199 | − | 0.405956i | ||||
\(980\) | −10.2485 | − | 71.9789i | −0.327376 | − | 2.29928i | ||||
\(981\) | 4.27071 | + | 6.64536i | 0.136353 | + | 0.212170i | ||||
\(982\) | 10.8390 | + | 29.1214i | 0.345888 | + | 0.929302i | ||||
\(983\) | −2.32772 | − | 16.1896i | −0.0742426 | − | 0.516369i | −0.992677 | − | 0.120796i | \(-0.961455\pi\) |
0.918435 | − | 0.395573i | \(-0.129454\pi\) | |||||||
\(984\) | −2.55868 | + | 34.7719i | −0.0815677 | + | 1.10849i | ||||
\(985\) | −4.89819 | − | 0.704254i | −0.156069 | − | 0.0224394i | ||||
\(986\) | 2.31033 | + | 32.6162i | 0.0735758 | + | 1.03871i | ||||
\(987\) | −3.96172 | − | 4.57206i | −0.126103 | − | 0.145530i | ||||
\(988\) | 3.19518 | − | 10.8270i | 0.101652 | − | 0.344452i | ||||
\(989\) | −19.1406 | − | 28.2583i | −0.608637 | − | 0.898562i | ||||
\(990\) | −6.58379 | − | 8.80747i | −0.209247 | − | 0.279920i | ||||
\(991\) | 20.6134 | − | 17.8616i | 0.654805 | − | 0.567392i | −0.262817 | − | 0.964846i | \(-0.584652\pi\) |
0.917622 | + | 0.397454i | \(0.130106\pi\) | |||||||
\(992\) | 18.5775 | − | 33.7471i | 0.589835 | − | 1.07147i | ||||
\(993\) | −2.31659 | + | 16.1123i | −0.0735149 | + | 0.511307i | ||||
\(994\) | −29.3782 | + | 6.36979i | −0.931819 | + | 0.202037i | ||||
\(995\) | 56.4123 | − | 8.11086i | 1.78839 | − | 0.257132i | ||||
\(996\) | 8.57860 | + | 5.52973i | 0.271823 | + | 0.175216i | ||||
\(997\) | 33.6857 | − | 21.6485i | 1.06684 | − | 0.685614i | 0.115356 | − | 0.993324i | \(-0.463199\pi\) |
0.951480 | + | 0.307710i | \(0.0995628\pi\) | |||||||
\(998\) | 24.3759 | − | 44.5687i | 0.771607 | − | 1.41080i | ||||
\(999\) | −6.93376 | + | 2.03594i | −0.219374 | + | 0.0644141i |
(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 | 276.2.m.a.79.23 | yes | 240 | |
3.2 | odd | 2 | 828.2.u.c.631.2 | 240 | |||
4.3 | odd | 2 | inner | 276.2.m.a.79.13 | yes | 240 | |
12.11 | even | 2 | 828.2.u.c.631.12 | 240 | |||
23.7 | odd | 22 | inner | 276.2.m.a.7.13 | ✓ | 240 | |
69.53 | even | 22 | 828.2.u.c.559.12 | 240 | |||
92.7 | even | 22 | inner | 276.2.m.a.7.23 | yes | 240 | |
276.191 | odd | 22 | 828.2.u.c.559.2 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.m.a.7.13 | ✓ | 240 | 23.7 | odd | 22 | inner | |
276.2.m.a.7.23 | yes | 240 | 92.7 | even | 22 | inner | |
276.2.m.a.79.13 | yes | 240 | 4.3 | odd | 2 | inner | |
276.2.m.a.79.23 | yes | 240 | 1.1 | even | 1 | trivial | |
828.2.u.c.559.2 | 240 | 276.191 | odd | 22 | |||
828.2.u.c.559.12 | 240 | 69.53 | even | 22 | |||
828.2.u.c.631.2 | 240 | 3.2 | odd | 2 | |||
828.2.u.c.631.12 | 240 | 12.11 | even | 2 |