Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), 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: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.3 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25445 | + | 0.652965i | −0.887028 | + | 0.461716i | ||||
\(3\) | −1.05433 | + | 0.282507i | −0.608719 | + | 0.163106i | −0.549994 | − | 0.835169i | \(-0.685370\pi\) |
−0.0587246 | + | 0.998274i | \(0.518703\pi\) | |||||||
\(4\) | 1.14727 | − | 1.63822i | 0.573637 | − | 0.819110i | ||||
\(5\) | −0.374919 | + | 1.39922i | −0.167669 | + | 0.625749i | 0.830016 | + | 0.557740i | \(0.188331\pi\) |
−0.997685 | + | 0.0680093i | \(0.978335\pi\) | |||||||
\(6\) | 1.13814 | − | 1.04283i | 0.464642 | − | 0.425734i | ||||
\(7\) | −0.298614 | + | 2.62885i | −0.112866 | + | 0.993610i | ||||
\(8\) | −0.369496 | + | 2.80419i | −0.130636 | + | 0.991430i | ||||
\(9\) | −1.56627 | + | 0.904287i | −0.522090 | + | 0.301429i | ||||
\(10\) | −0.443324 | − | 2.00005i | −0.140191 | − | 0.632473i | ||||
\(11\) | −5.30770 | + | 1.42219i | −1.60033 | + | 0.428807i | −0.945143 | − | 0.326658i | \(-0.894077\pi\) |
−0.655189 | + | 0.755465i | \(0.727411\pi\) | |||||||
\(12\) | −0.746799 | + | 2.05134i | −0.215582 | + | 0.592171i | ||||
\(13\) | 1.84531 | − | 1.84531i | 0.511798 | − | 0.511798i | −0.403279 | − | 0.915077i | \(-0.632130\pi\) |
0.915077 | + | 0.403279i | \(0.132130\pi\) | |||||||
\(14\) | −1.34195 | − | 3.49273i | −0.358651 | − | 0.933472i | ||||
\(15\) | − | 1.58116i | − | 0.408253i | ||||||
\(16\) | −1.36752 | − | 3.75897i | −0.341881 | − | 0.939743i | ||||
\(17\) | 5.69424 | + | 3.28757i | 1.38106 | + | 0.797353i | 0.992285 | − | 0.123982i | \(-0.0395664\pi\) |
0.388771 | + | 0.921334i | \(0.372900\pi\) | |||||||
\(18\) | 1.37434 | − | 2.15710i | 0.323934 | − | 0.508433i | ||||
\(19\) | −0.869370 | + | 3.24453i | −0.199447 | + | 0.744347i | 0.791624 | + | 0.611009i | \(0.209236\pi\) |
−0.991071 | + | 0.133338i | \(0.957431\pi\) | |||||||
\(20\) | 1.86209 | + | 2.21949i | 0.416376 | + | 0.496292i | ||||
\(21\) | −0.427830 | − | 2.85604i | −0.0933601 | − | 0.623238i | ||||
\(22\) | 5.72958 | − | 5.24981i | 1.22155 | − | 1.11926i | ||||
\(23\) | −0.256173 | − | 0.443704i | −0.0534157 | − | 0.0925187i | 0.838081 | − | 0.545546i | \(-0.183678\pi\) |
−0.891497 | + | 0.453027i | \(0.850344\pi\) | |||||||
\(24\) | −0.402633 | − | 3.06093i | −0.0821871 | − | 0.624810i | ||||
\(25\) | 2.51288 | + | 1.45081i | 0.502576 | + | 0.290162i | ||||
\(26\) | −1.10992 | + | 3.51977i | −0.217674 | + | 0.690284i | ||||
\(27\) | 3.71137 | − | 3.71137i | 0.714254 | − | 0.714254i | ||||
\(28\) | 3.96403 | + | 3.50520i | 0.749132 | + | 0.662421i | ||||
\(29\) | −2.30263 | − | 2.30263i | −0.427587 | − | 0.427587i | 0.460219 | − | 0.887806i | \(-0.347771\pi\) |
−0.887806 | + | 0.460219i | \(0.847771\pi\) | |||||||
\(30\) | 1.03244 | + | 1.98348i | 0.188497 | + | 0.362132i | ||||
\(31\) | 3.79637 | − | 6.57551i | 0.681848 | − | 1.18100i | −0.292568 | − | 0.956245i | \(-0.594510\pi\) |
0.974416 | − | 0.224751i | \(-0.0721568\pi\) | |||||||
\(32\) | 4.16996 | + | 3.82249i | 0.737152 | + | 0.675727i | ||||
\(33\) | 5.19429 | − | 2.99893i | 0.904211 | − | 0.522046i | ||||
\(34\) | −9.28979 | − | 0.405946i | −1.59319 | − | 0.0696191i | ||||
\(35\) | −3.56637 | − | 1.40343i | −0.602827 | − | 0.237223i | ||||
\(36\) | −0.315522 | + | 3.60336i | −0.0525871 | + | 0.600560i | ||||
\(37\) | −4.01582 | − | 1.07603i | −0.660196 | − | 0.176899i | −0.0868615 | − | 0.996220i | \(-0.527684\pi\) |
−0.573334 | + | 0.819321i | \(0.694350\pi\) | |||||||
\(38\) | −1.02799 | − | 4.63776i | −0.166761 | − | 0.752344i | ||||
\(39\) | −1.42426 | + | 2.46689i | −0.228064 | + | 0.395018i | ||||
\(40\) | −3.78514 | − | 1.56835i | −0.598483 | − | 0.247978i | ||||
\(41\) | 0.453189 | 0.0707762 | 0.0353881 | − | 0.999374i | \(-0.488733\pi\) | ||||
0.0353881 | + | 0.999374i | \(0.488733\pi\) | |||||||
\(42\) | 2.40158 | + | 3.30339i | 0.370572 | + | 0.509724i | ||||
\(43\) | 3.40842 | + | 3.40842i | 0.519779 | + | 0.519779i | 0.917504 | − | 0.397726i | \(-0.130200\pi\) |
−0.397726 | + | 0.917504i | \(0.630200\pi\) | |||||||
\(44\) | −3.75952 | + | 10.3268i | −0.566769 | + | 1.55683i | ||||
\(45\) | −0.678070 | − | 2.53059i | −0.101081 | − | 0.377238i | ||||
\(46\) | 0.611078 | + | 0.389332i | 0.0900986 | + | 0.0574038i | ||||
\(47\) | 1.71468 | + | 2.96992i | 0.250112 | + | 0.433207i | 0.963556 | − | 0.267505i | \(-0.0861992\pi\) |
−0.713444 | + | 0.700712i | \(0.752866\pi\) | |||||||
\(48\) | 2.50376 | + | 3.57687i | 0.361387 | + | 0.516277i | ||||
\(49\) | −6.82166 | − | 1.57002i | −0.974523 | − | 0.224289i | ||||
\(50\) | −4.09960 | − | 0.179145i | −0.579771 | − | 0.0253349i | ||||
\(51\) | −6.93238 | − | 1.85753i | −0.970727 | − | 0.260106i | ||||
\(52\) | −0.905947 | − | 5.14011i | −0.125632 | − | 0.712805i | ||||
\(53\) | 0.367696 | + | 1.37226i | 0.0505070 | + | 0.188495i | 0.986570 | − | 0.163337i | \(-0.0522257\pi\) |
−0.936063 | + | 0.351831i | \(0.885559\pi\) | |||||||
\(54\) | −2.23233 | + | 7.07912i | −0.303781 | + | 0.963346i | ||||
\(55\) | − | 7.95984i | − | 1.07330i | ||||||
\(56\) | −7.26144 | − | 1.80872i | −0.970351 | − | 0.241700i | ||||
\(57\) | − | 3.66642i | − | 0.485629i | ||||||
\(58\) | 4.39206 | + | 1.38499i | 0.576705 | + | 0.181858i | ||||
\(59\) | 1.76193 | + | 6.57560i | 0.229383 | + | 0.856070i | 0.980601 | + | 0.196015i | \(0.0628002\pi\) |
−0.751218 | + | 0.660055i | \(0.770533\pi\) | |||||||
\(60\) | −2.59028 | − | 1.81402i | −0.334404 | − | 0.234189i | ||||
\(61\) | 4.88324 | + | 1.30846i | 0.625235 | + | 0.167531i | 0.557506 | − | 0.830173i | \(-0.311758\pi\) |
0.0677284 | + | 0.997704i | \(0.478425\pi\) | |||||||
\(62\) | −0.468772 | + | 10.7275i | −0.0595341 | + | 1.36240i | ||||
\(63\) | −1.90952 | − | 4.38752i | −0.240577 | − | 0.552775i | ||||
\(64\) | −7.72695 | − | 2.07227i | −0.965868 | − | 0.259034i | ||||
\(65\) | 1.89015 | + | 3.27384i | 0.234445 | + | 0.406070i | ||||
\(66\) | −4.55777 | + | 7.15369i | −0.561023 | + | 0.880558i | ||||
\(67\) | 1.66080 | + | 6.19818i | 0.202899 | + | 0.757229i | 0.990080 | + | 0.140507i | \(0.0448731\pi\) |
−0.787181 | + | 0.616722i | \(0.788460\pi\) | |||||||
\(68\) | 11.9186 | − | 5.55666i | 1.44534 | − | 0.673845i | ||||
\(69\) | 0.395441 | + | 0.395441i | 0.0476055 | + | 0.0476055i | ||||
\(70\) | 5.39022 | − | 0.568185i | 0.644254 | − | 0.0679111i | ||||
\(71\) | 6.44865 | 0.765314 | 0.382657 | − | 0.923890i | \(-0.375009\pi\) | ||||
0.382657 | + | 0.923890i | \(0.375009\pi\) | |||||||
\(72\) | −1.95706 | − | 4.72625i | −0.230642 | − | 0.556994i | ||||
\(73\) | −7.43995 | + | 12.8864i | −0.870780 | + | 1.50823i | −0.00958835 | + | 0.999954i | \(0.503052\pi\) |
−0.861191 | + | 0.508281i | \(0.830281\pi\) | |||||||
\(74\) | 5.74024 | − | 1.27236i | 0.667289 | − | 0.147909i | ||||
\(75\) | −3.05927 | − | 0.819730i | −0.353255 | − | 0.0946543i | ||||
\(76\) | 4.31785 | + | 5.14659i | 0.495291 | + | 0.590354i | ||||
\(77\) | −2.15377 | − | 14.3778i | −0.245445 | − | 1.63850i | ||||
\(78\) | 0.175866 | − | 4.02457i | 0.0199129 | − | 0.455693i | ||||
\(79\) | 3.33780 | − | 1.92708i | 0.375532 | − | 0.216813i | −0.300341 | − | 0.953832i | \(-0.597100\pi\) |
0.675873 | + | 0.737019i | \(0.263767\pi\) | |||||||
\(80\) | 5.77234 | − | 0.504152i | 0.645367 | − | 0.0563659i | ||||
\(81\) | −0.151668 | + | 0.262697i | −0.0168520 | + | 0.0291886i | ||||
\(82\) | −0.568501 | + | 0.295916i | −0.0627804 | + | 0.0326785i | ||||
\(83\) | −2.44051 | − | 2.44051i | −0.267881 | − | 0.267881i | 0.560365 | − | 0.828246i | \(-0.310661\pi\) |
−0.828246 | + | 0.560365i | \(0.810661\pi\) | |||||||
\(84\) | −5.16965 | − | 2.57578i | −0.564055 | − | 0.281040i | ||||
\(85\) | −6.73491 | + | 6.73491i | −0.730503 | + | 0.730503i | ||||
\(86\) | −6.50126 | − | 2.05010i | −0.701048 | − | 0.221068i | ||||
\(87\) | 3.07824 | + | 1.77722i | 0.330022 | + | 0.190538i | ||||
\(88\) | −2.02693 | − | 15.4093i | −0.216071 | − | 1.64263i | ||||
\(89\) | −3.81344 | − | 6.60506i | −0.404223 | − | 0.700135i | 0.590007 | − | 0.807398i | \(-0.299125\pi\) |
−0.994231 | + | 0.107262i | \(0.965791\pi\) | |||||||
\(90\) | 2.50299 | + | 2.73174i | 0.263838 | + | 0.287950i | ||||
\(91\) | 4.30001 | + | 5.40208i | 0.450763 | + | 0.566292i | ||||
\(92\) | −1.02079 | − | 0.0893834i | −0.106424 | − | 0.00931886i | ||||
\(93\) | −2.14500 | + | 8.00527i | −0.222427 | + | 0.830107i | ||||
\(94\) | −4.09023 | − | 2.60598i | −0.421875 | − | 0.268786i | ||||
\(95\) | −4.21387 | − | 2.43288i | −0.432334 | − | 0.249608i | ||||
\(96\) | −5.47640 | − | 2.85213i | −0.558933 | − | 0.291094i | ||||
\(97\) | 11.2152i | 1.13873i | 0.822085 | + | 0.569365i | \(0.192811\pi\) | ||||
−0.822085 | + | 0.569365i | \(0.807189\pi\) | |||||||
\(98\) | 9.58258 | − | 2.48479i | 0.967987 | − | 0.251002i | ||||
\(99\) | 7.02722 | − | 7.02722i | 0.706263 | − | 0.706263i | ||||
\(100\) | 5.25971 | − | 2.45217i | 0.525971 | − | 0.245217i | ||||
\(101\) | 18.7893 | − | 5.03457i | 1.86960 | − | 0.500959i | 0.869630 | − | 0.493704i | \(-0.164357\pi\) |
0.999974 | − | 0.00725520i | \(-0.00230942\pi\) | |||||||
\(102\) | 9.90920 | − | 2.19643i | 0.981157 | − | 0.217479i | ||||
\(103\) | 6.15035 | − | 3.55091i | 0.606012 | − | 0.349881i | −0.165391 | − | 0.986228i | \(-0.552889\pi\) |
0.771403 | + | 0.636347i | \(0.219555\pi\) | |||||||
\(104\) | 4.49277 | + | 5.85644i | 0.440553 | + | 0.574271i | ||||
\(105\) | 4.15662 | + | 0.472156i | 0.405645 | + | 0.0460777i | ||||
\(106\) | −1.35729 | − | 1.48134i | −0.131832 | − | 0.143880i | ||||
\(107\) | 3.10366 | − | 11.5830i | 0.300042 | − | 1.11977i | −0.637088 | − | 0.770791i | \(-0.719861\pi\) |
0.937130 | − | 0.348981i | \(-0.113472\pi\) | |||||||
\(108\) | −1.82208 | − | 10.3380i | −0.175330 | − | 0.994775i | ||||
\(109\) | −10.0240 | + | 2.68591i | −0.960122 | + | 0.257264i | −0.704652 | − | 0.709553i | \(-0.748897\pi\) |
−0.255470 | + | 0.966817i | \(0.582230\pi\) | |||||||
\(110\) | 5.19749 | + | 9.98519i | 0.495561 | + | 0.952051i | ||||
\(111\) | 4.53799 | 0.430727 | ||||||||
\(112\) | 10.2901 | − | 2.47252i | 0.972325 | − | 0.233632i | ||||
\(113\) | −13.4601 | −1.26622 | −0.633109 | − | 0.774062i | \(-0.718222\pi\) | ||||
−0.633109 | + | 0.774062i | \(0.718222\pi\) | |||||||
\(114\) | 2.39404 | + | 4.59933i | 0.224222 | + | 0.430766i | ||||
\(115\) | 0.716883 | − | 0.192088i | 0.0668497 | − | 0.0179123i | ||||
\(116\) | −6.41395 | + | 1.13046i | −0.595520 | + | 0.104961i | ||||
\(117\) | −1.22157 | + | 4.55896i | −0.112934 | + | 0.421476i | ||||
\(118\) | −6.50388 | − | 7.09826i | −0.598730 | − | 0.653448i | ||||
\(119\) | −10.3429 | + | 13.9876i | −0.948132 | + | 1.28224i | ||||
\(120\) | 4.43386 | + | 0.584231i | 0.404755 | + | 0.0533327i | ||||
\(121\) | 16.6227 | − | 9.59715i | 1.51116 | − | 0.872468i | ||||
\(122\) | −6.98014 | + | 1.54719i | −0.631953 | + | 0.140076i | ||||
\(123\) | −0.477811 | + | 0.128029i | −0.0430828 | + | 0.0115440i | ||||
\(124\) | −6.41664 | − | 13.7632i | −0.576231 | − | 1.23597i | ||||
\(125\) | −8.09362 | + | 8.09362i | −0.723916 | + | 0.723916i | ||||
\(126\) | 5.26029 | + | 4.25706i | 0.468624 | + | 0.379249i | ||||
\(127\) | 13.7356i | 1.21884i | 0.792849 | + | 0.609418i | \(0.208597\pi\) | ||||
−0.792849 | + | 0.609418i | \(0.791403\pi\) | |||||||
\(128\) | 11.0462 | − | 2.44587i | 0.976352 | − | 0.216186i | ||||
\(129\) | −4.55651 | − | 2.63070i | −0.401178 | − | 0.231620i | ||||
\(130\) | −4.50880 | − | 2.87266i | −0.395448 | − | 0.251949i | ||||
\(131\) | 0.754169 | − | 2.81460i | 0.0658920 | − | 0.245912i | −0.925122 | − | 0.379670i | \(-0.876038\pi\) |
0.991014 | + | 0.133757i | \(0.0427043\pi\) | |||||||
\(132\) | 1.04638 | − | 11.9500i | 0.0910758 | − | 1.04011i | ||||
\(133\) | −8.26977 | − | 3.25430i | −0.717080 | − | 0.282184i | ||||
\(134\) | −6.13058 | − | 6.69085i | −0.529601 | − | 0.578001i | ||||
\(135\) | 3.80156 | + | 6.58449i | 0.327186 | + | 0.566703i | ||||
\(136\) | −11.3230 | + | 14.7530i | −0.970936 | + | 1.26506i | ||||
\(137\) | −6.25695 | − | 3.61245i | −0.534568 | − | 0.308633i | 0.208307 | − | 0.978064i | \(-0.433205\pi\) |
−0.742874 | + | 0.669431i | \(0.766538\pi\) | |||||||
\(138\) | −0.754268 | − | 0.237851i | −0.0642076 | − | 0.0202472i | ||||
\(139\) | −0.708981 | + | 0.708981i | −0.0601350 | + | 0.0601350i | −0.736535 | − | 0.676400i | \(-0.763539\pi\) |
0.676400 | + | 0.736535i | \(0.263539\pi\) | |||||||
\(140\) | −6.39074 | + | 4.23238i | −0.540116 | + | 0.357701i | ||||
\(141\) | −2.64687 | − | 2.64687i | −0.222906 | − | 0.222906i | ||||
\(142\) | −8.08949 | + | 4.21074i | −0.678855 | + | 0.353358i | ||||
\(143\) | −7.16997 | + | 12.4188i | −0.599583 | + | 1.03851i | ||||
\(144\) | 5.54110 | + | 4.65094i | 0.461759 | + | 0.387578i | ||||
\(145\) | 4.08518 | − | 2.35858i | 0.339255 | − | 0.195869i | ||||
\(146\) | 0.918677 | − | 21.0233i | 0.0760303 | − | 1.73990i | ||||
\(147\) | 7.63583 | − | 0.271845i | 0.629793 | − | 0.0224214i | ||||
\(148\) | −6.37002 | + | 5.34428i | −0.523613 | + | 0.439297i | ||||
\(149\) | −9.19566 | − | 2.46397i | −0.753338 | − | 0.201856i | −0.138340 | − | 0.990385i | \(-0.544177\pi\) |
−0.614998 | + | 0.788529i | \(0.710843\pi\) | |||||||
\(150\) | 4.37295 | − | 0.969290i | 0.357050 | − | 0.0791422i | ||||
\(151\) | 3.55073 | − | 6.15004i | 0.288954 | − | 0.500483i | −0.684606 | − | 0.728913i | \(-0.740026\pi\) |
0.973560 | + | 0.228430i | \(0.0733592\pi\) | |||||||
\(152\) | −8.77705 | − | 3.63672i | −0.711913 | − | 0.294977i | ||||
\(153\) | −11.8916 | −0.961381 | ||||||||
\(154\) | 12.0900 | + | 16.6299i | 0.974239 | + | 1.34007i | ||||
\(155\) | 7.77723 | + | 7.77723i | 0.624683 | + | 0.624683i | ||||
\(156\) | 2.40729 | + | 5.16344i | 0.192737 | + | 0.413406i | ||||
\(157\) | 2.27152 | + | 8.47741i | 0.181287 | + | 0.676571i | 0.995395 | + | 0.0958582i | \(0.0305595\pi\) |
−0.814108 | + | 0.580713i | \(0.802774\pi\) | |||||||
\(158\) | −2.92878 | + | 4.59689i | −0.233001 | + | 0.365709i | ||||
\(159\) | −0.775348 | − | 1.34294i | −0.0614891 | − | 0.106502i | ||||
\(160\) | −6.91190 | + | 4.40156i | −0.546433 | + | 0.347974i | ||||
\(161\) | 1.24293 | − | 0.540942i | 0.0979563 | − | 0.0426322i | ||||
\(162\) | 0.0187278 | − | 0.428574i | 0.00147140 | − | 0.0336719i | ||||
\(163\) | 12.2667 | + | 3.28686i | 0.960805 | + | 0.257447i | 0.704941 | − | 0.709266i | \(-0.250973\pi\) |
0.255864 | + | 0.966713i | \(0.417640\pi\) | |||||||
\(164\) | 0.519932 | − | 0.742422i | 0.0405998 | − | 0.0579734i | ||||
\(165\) | 2.24871 | + | 8.39231i | 0.175062 | + | 0.653340i | ||||
\(166\) | 4.65506 | + | 1.46793i | 0.361303 | + | 0.113933i | ||||
\(167\) | − | 21.5280i | − | 1.66588i | −0.553361 | − | 0.832942i | \(-0.686655\pi\) | ||
0.553361 | − | 0.832942i | \(-0.313345\pi\) | |||||||
\(168\) | 8.16694 | − | 0.144422i | 0.630093 | − | 0.0111424i | ||||
\(169\) | 6.18963i | 0.476126i | ||||||||
\(170\) | 4.05093 | − | 12.8462i | 0.310692 | − | 0.985262i | ||||
\(171\) | −1.57232 | − | 5.86798i | −0.120238 | − | 0.448736i | ||||
\(172\) | 9.49413 | − | 1.67334i | 0.723920 | − | 0.127591i | ||||
\(173\) | 19.3481 | + | 5.18431i | 1.47101 | + | 0.394156i | 0.903278 | − | 0.429057i | \(-0.141154\pi\) |
0.567733 | + | 0.823213i | \(0.307821\pi\) | |||||||
\(174\) | −5.02195 | − | 0.219450i | −0.380713 | − | 0.0166364i | ||||
\(175\) | −4.56434 | + | 6.17274i | −0.345032 | + | 0.466615i | ||||
\(176\) | 12.6044 | + | 18.0066i | 0.950091 | + | 1.35730i | ||||
\(177\) | −3.71531 | − | 6.43510i | −0.279260 | − | 0.483692i | ||||
\(178\) | 9.09663 | + | 5.79566i | 0.681821 | + | 0.434403i | ||||
\(179\) | 1.76302 | + | 6.57967i | 0.131774 | + | 0.491787i | 0.999990 | − | 0.00439858i | \(-0.00140012\pi\) |
−0.868216 | + | 0.496186i | \(0.834733\pi\) | |||||||
\(180\) | −4.92359 | − | 1.79245i | −0.366983 | − | 0.133602i | ||||
\(181\) | 6.32019 | + | 6.32019i | 0.469776 | + | 0.469776i | 0.901842 | − | 0.432066i | \(-0.142215\pi\) |
−0.432066 | + | 0.901842i | \(0.642215\pi\) | |||||||
\(182\) | −8.92150 | − | 3.96887i | −0.661306 | − | 0.294192i | ||||
\(183\) | −5.51821 | −0.407917 | ||||||||
\(184\) | 1.33888 | − | 0.554410i | 0.0987039 | − | 0.0408716i | ||||
\(185\) | 3.01121 | − | 5.21558i | 0.221389 | − | 0.383457i | ||||
\(186\) | −2.53636 | − | 11.4428i | −0.185975 | − | 0.839026i | ||||
\(187\) | −34.8989 | − | 9.35112i | −2.55206 | − | 0.683822i | ||||
\(188\) | 6.83259 | + | 0.598284i | 0.498318 | + | 0.0436344i | ||||
\(189\) | 8.64836 | + | 10.8649i | 0.629076 | + | 0.790305i | ||||
\(190\) | 6.87465 | + | 0.300409i | 0.498740 | + | 0.0217940i | ||||
\(191\) | −11.5374 | + | 6.66112i | −0.834817 | + | 0.481982i | −0.855499 | − | 0.517804i | \(-0.826750\pi\) |
0.0206820 | + | 0.999786i | \(0.493416\pi\) | |||||||
\(192\) | 8.73220 | + | 0.00194205i | 0.630192 | + | 0.000140155i | ||||
\(193\) | 5.25772 | − | 9.10664i | 0.378459 | − | 0.655511i | −0.612379 | − | 0.790564i | \(-0.709787\pi\) |
0.990838 | + | 0.135054i | \(0.0431207\pi\) | |||||||
\(194\) | −7.32313 | − | 14.0689i | −0.525770 | − | 1.01009i | ||||
\(195\) | −2.91773 | − | 2.91773i | −0.208943 | − | 0.208943i | ||||
\(196\) | −10.3984 | + | 9.37413i | −0.742740 | + | 0.669580i | ||||
\(197\) | 14.0642 | − | 14.0642i | 1.00203 | − | 1.00203i | 0.00203129 | − | 0.999998i | \(-0.499353\pi\) |
0.999998 | − | 0.00203129i | \(-0.000646580\pi\) | |||||||
\(198\) | −4.22675 | + | 13.4038i | −0.300382 | + | 0.952567i | ||||
\(199\) | −20.9503 | − | 12.0957i | −1.48513 | − | 0.857439i | −0.485272 | − | 0.874363i | \(-0.661279\pi\) |
−0.999857 | + | 0.0169240i | \(0.994613\pi\) | |||||||
\(200\) | −4.99685 | + | 6.51052i | −0.353330 | + | 0.460363i | ||||
\(201\) | −3.50206 | − | 6.06575i | −0.247017 | − | 0.427845i | ||||
\(202\) | −20.2828 | + | 18.5843i | −1.42709 | + | 1.30759i | ||||
\(203\) | 6.74085 | − | 5.36565i | 0.473115 | − | 0.376595i | ||||
\(204\) | −10.9964 | + | 9.22566i | −0.769900 | + | 0.645926i | ||||
\(205\) | −0.169909 | + | 0.634110i | −0.0118670 | + | 0.0442882i | ||||
\(206\) | −5.39667 | + | 8.47038i | −0.376004 | + | 0.590160i | ||||
\(207\) | 0.802472 | + | 0.463307i | 0.0557757 | + | 0.0322021i | ||||
\(208\) | −9.45999 | − | 4.41298i | −0.655933 | − | 0.305985i | ||||
\(209\) | − | 18.4574i | − | 1.27673i | ||||||
\(210\) | −5.52256 | + | 2.12183i | −0.381093 | + | 0.146420i | ||||
\(211\) | 8.81296 | − | 8.81296i | 0.606709 | − | 0.606709i | −0.335375 | − | 0.942085i | \(-0.608863\pi\) |
0.942085 | + | 0.335375i | \(0.108863\pi\) | |||||||
\(212\) | 2.66991 | + | 0.971993i | 0.183370 | + | 0.0667568i | ||||
\(213\) | −6.79902 | + | 1.82179i | −0.465861 | + | 0.124827i | ||||
\(214\) | 3.66992 | + | 16.5569i | 0.250871 | + | 1.13180i | ||||
\(215\) | −6.04700 | + | 3.49124i | −0.412402 | + | 0.238101i | ||||
\(216\) | 9.03606 | + | 11.7787i | 0.614826 | + | 0.801441i | ||||
\(217\) | 16.1523 | + | 11.9436i | 1.09649 | + | 0.810785i | ||||
\(218\) | 10.8207 | − | 9.91463i | 0.732872 | − | 0.671504i | ||||
\(219\) | 4.20368 | − | 15.6883i | 0.284058 | − | 1.06012i | ||||
\(220\) | −13.0400 | − | 9.13212i | −0.879154 | − | 0.615687i | ||||
\(221\) | 16.5743 | − | 4.44106i | 1.11490 | − | 0.298738i | ||||
\(222\) | −5.69267 | + | 2.96315i | −0.382067 | + | 0.198873i | ||||
\(223\) | 5.44902 | 0.364893 | 0.182447 | − | 0.983216i | \(-0.441598\pi\) | ||||
0.182447 | + | 0.983216i | \(0.441598\pi\) | |||||||
\(224\) | −11.2939 | + | 9.82074i | −0.754608 | + | 0.656176i | ||||
\(225\) | −5.24780 | −0.349853 | ||||||||
\(226\) | 16.8850 | − | 8.78896i | 1.12317 | − | 0.584633i | ||||
\(227\) | 1.45364 | − | 0.389502i | 0.0964815 | − | 0.0258521i | −0.210255 | − | 0.977647i | \(-0.567430\pi\) |
0.306737 | + | 0.951794i | \(0.400763\pi\) | |||||||
\(228\) | −6.00639 | − | 4.20639i | −0.397783 | − | 0.278575i | ||||
\(229\) | 1.28054 | − | 4.77902i | 0.0846202 | − | 0.315807i | −0.910622 | − | 0.413241i | \(-0.864397\pi\) |
0.995242 | + | 0.0974340i | \(0.0310635\pi\) | |||||||
\(230\) | −0.773865 | + | 0.709064i | −0.0510271 | + | 0.0467543i | ||||
\(231\) | 6.33263 | + | 14.5505i | 0.416656 | + | 0.957354i | ||||
\(232\) | 7.30781 | − | 5.60619i | 0.479781 | − | 0.368064i | ||||
\(233\) | 10.7652 | − | 6.21528i | 0.705251 | − | 0.407177i | −0.104049 | − | 0.994572i | \(-0.533180\pi\) |
0.809300 | + | 0.587395i | \(0.199847\pi\) | |||||||
\(234\) | −1.44444 | − | 6.51661i | −0.0944262 | − | 0.426004i | ||||
\(235\) | −4.79843 | + | 1.28574i | −0.313015 | + | 0.0838721i | ||||
\(236\) | 12.7937 | + | 4.65759i | 0.832798 | + | 0.303184i | ||||
\(237\) | −2.97474 | + | 2.97474i | −0.193230 | + | 0.193230i | ||||
\(238\) | 3.84123 | − | 24.3002i | 0.248990 | − | 1.57515i | ||||
\(239\) | − | 7.34038i | − | 0.474810i | −0.971411 | − | 0.237405i | \(-0.923703\pi\) | ||
0.971411 | − | 0.237405i | \(-0.0762968\pi\) | |||||||
\(240\) | −5.94353 | + | 2.16227i | −0.383653 | + | 0.139574i | ||||
\(241\) | −8.98405 | − | 5.18694i | −0.578713 | − | 0.334120i | 0.181909 | − | 0.983315i | \(-0.441773\pi\) |
−0.760622 | + | 0.649195i | \(0.775106\pi\) | |||||||
\(242\) | −14.5858 | + | 22.8932i | −0.937608 | + | 1.47163i | ||||
\(243\) | −3.98968 | + | 14.8897i | −0.255938 | + | 0.955173i | ||||
\(244\) | 7.74596 | − | 6.49865i | 0.495884 | − | 0.416034i | ||||
\(245\) | 4.75438 | − | 8.95636i | 0.303746 | − | 0.572201i | ||||
\(246\) | 0.515790 | − | 0.472600i | 0.0328856 | − | 0.0301318i | ||||
\(247\) | 4.38292 | + | 7.59144i | 0.278879 | + | 0.483032i | ||||
\(248\) | 17.0362 | + | 13.0754i | 1.08180 | + | 0.830286i | ||||
\(249\) | 3.26257 | + | 1.88365i | 0.206757 | + | 0.119371i | ||||
\(250\) | 4.86817 | − | 15.4379i | 0.307890 | − | 0.976377i | ||||
\(251\) | 0.401720 | − | 0.401720i | 0.0253563 | − | 0.0253563i | −0.694315 | − | 0.719671i | \(-0.744293\pi\) |
0.719671 | + | 0.694315i | \(0.244293\pi\) | |||||||
\(252\) | −9.37846 | − | 1.90547i | −0.590787 | − | 0.120034i | ||||
\(253\) | 1.99072 | + | 1.99072i | 0.125156 | + | 0.125156i | ||||
\(254\) | −8.96886 | − | 17.2306i | −0.562756 | − | 1.08114i | ||||
\(255\) | 5.19817 | − | 9.00349i | 0.325522 | − | 0.563820i | ||||
\(256\) | −12.2598 | + | 10.2810i | −0.766235 | + | 0.642560i | ||||
\(257\) | 7.92211 | − | 4.57383i | 0.494168 | − | 0.285308i | −0.232134 | − | 0.972684i | \(-0.574571\pi\) |
0.726302 | + | 0.687376i | \(0.241237\pi\) | |||||||
\(258\) | 7.43365 | + | 0.324836i | 0.462799 | + | 0.0202234i | ||||
\(259\) | 4.02791 | − | 10.2356i | 0.250282 | − | 0.636012i | ||||
\(260\) | 7.53179 | + | 0.659509i | 0.467102 | + | 0.0409010i | ||||
\(261\) | 5.68877 | + | 1.52430i | 0.352126 | + | 0.0943519i | ||||
\(262\) | 0.891767 | + | 4.02321i | 0.0550935 | + | 0.248555i | ||||
\(263\) | −2.29116 | + | 3.96841i | −0.141279 | + | 0.244703i | −0.927979 | − | 0.372634i | \(-0.878455\pi\) |
0.786699 | + | 0.617336i | \(0.211788\pi\) | |||||||
\(264\) | 6.49029 | + | 15.6739i | 0.399450 | + | 0.964660i | ||||
\(265\) | −2.05795 | −0.126419 | ||||||||
\(266\) | 12.4989 | − | 1.31752i | 0.766359 | − | 0.0807821i | ||||
\(267\) | 5.88661 | + | 5.88661i | 0.360254 | + | 0.360254i | ||||
\(268\) | 12.0594 | + | 4.39027i | 0.736643 | + | 0.268178i | ||||
\(269\) | −2.47124 | − | 9.22279i | −0.150674 | − | 0.562323i | −0.999437 | − | 0.0335497i | \(-0.989319\pi\) |
0.848763 | − | 0.528773i | \(-0.177348\pi\) | |||||||
\(270\) | −9.06829 | − | 5.77761i | −0.551879 | − | 0.351614i | ||||
\(271\) | −3.64178 | − | 6.30775i | −0.221223 | − | 0.383169i | 0.733957 | − | 0.679196i | \(-0.237671\pi\) |
−0.955179 | + | 0.296027i | \(0.904338\pi\) | |||||||
\(272\) | 4.57088 | − | 25.9003i | 0.277151 | − | 1.57044i | ||||
\(273\) | −6.05976 | − | 4.48080i | −0.366754 | − | 0.271190i | ||||
\(274\) | 10.2078 | + | 0.446062i | 0.616677 | + | 0.0269476i | ||||
\(275\) | −15.4009 | − | 4.12667i | −0.928712 | − | 0.248848i | ||||
\(276\) | 1.10150 | − | 0.194140i | 0.0663024 | − | 0.0116858i | ||||
\(277\) | −8.37942 | − | 31.2724i | −0.503470 | − | 1.87898i | −0.476177 | − | 0.879349i | \(-0.657978\pi\) |
−0.0272931 | − | 0.999627i | \(-0.508689\pi\) | |||||||
\(278\) | 0.426439 | − | 1.35232i | 0.0255761 | − | 0.0811066i | ||||
\(279\) | 13.7320i | 0.822115i | ||||||||
\(280\) | 5.25325 | − | 9.48222i | 0.313942 | − | 0.566671i | ||||
\(281\) | − | 4.09880i | − | 0.244514i | −0.992498 | − | 0.122257i | \(-0.960987\pi\) | ||
0.992498 | − | 0.122257i | \(-0.0390132\pi\) | |||||||
\(282\) | 5.04867 | + | 1.59204i | 0.300644 | + | 0.0948048i | ||||
\(283\) | 3.53570 | + | 13.1954i | 0.210176 | + | 0.784387i | 0.987809 | + | 0.155669i | \(0.0497533\pi\) |
−0.777633 | + | 0.628718i | \(0.783580\pi\) | |||||||
\(284\) | 7.39837 | − | 10.5643i | 0.439013 | − | 0.626876i | ||||
\(285\) | 5.13012 | + | 1.37461i | 0.303882 | + | 0.0814249i | ||||
\(286\) | 0.885341 | − | 20.2604i | 0.0523513 | − | 1.19802i | ||||
\(287\) | −0.135329 | + | 1.19136i | −0.00798819 | + | 0.0703239i | ||||
\(288\) | −9.98792 | − | 2.21621i | −0.588544 | − | 0.130591i | ||||
\(289\) | 13.1162 | + | 22.7180i | 0.771543 | + | 1.33635i | ||||
\(290\) | −3.58457 | + | 5.62619i | −0.210493 | + | 0.330381i | ||||
\(291\) | −3.16838 | − | 11.8245i | −0.185733 | − | 0.693167i | ||||
\(292\) | 12.5750 | + | 26.9725i | 0.735898 | + | 1.57844i | ||||
\(293\) | 16.6941 | + | 16.6941i | 0.975280 | + | 0.975280i | 0.999702 | − | 0.0244213i | \(-0.00777432\pi\) |
−0.0244213 | + | 0.999702i | \(0.507774\pi\) | |||||||
\(294\) | −9.40124 | + | 5.32695i | −0.548292 | + | 0.310674i | ||||
\(295\) | −9.86128 | −0.574146 | ||||||||
\(296\) | 4.50123 | − | 10.8635i | 0.261629 | − | 0.631429i | ||||
\(297\) | −14.4206 | + | 24.9771i | −0.836766 | + | 1.44932i | ||||
\(298\) | 13.1444 | − | 2.91352i | 0.761432 | − | 0.168776i | ||||
\(299\) | −1.29149 | − | 0.346054i | −0.0746889 | − | 0.0200128i | ||||
\(300\) | −4.85272 | + | 4.07131i | −0.280172 | + | 0.235057i | ||||
\(301\) | −9.97801 | + | 7.94240i | −0.575123 | + | 0.457792i | ||||
\(302\) | −0.438440 | + | 10.0334i | −0.0252294 | + | 0.577357i | ||||
\(303\) | −18.3878 | + | 10.6162i | −1.05635 | + | 0.609886i | ||||
\(304\) | 13.3850 | − | 1.16904i | 0.767682 | − | 0.0670488i | ||||
\(305\) | −3.66164 | + | 6.34215i | −0.209665 | + | 0.363151i | ||||
\(306\) | 14.9174 | − | 7.76481i | 0.852772 | − | 0.443885i | ||||
\(307\) | 16.7590 | + | 16.7590i | 0.956484 | + | 0.956484i | 0.999092 | − | 0.0426074i | \(-0.0135665\pi\) |
−0.0426074 | + | 0.999092i | \(0.513566\pi\) | |||||||
\(308\) | −26.0250 | − | 12.9669i | −1.48291 | − | 0.738860i | ||||
\(309\) | −5.48135 | + | 5.48135i | −0.311823 | + | 0.311823i | ||||
\(310\) | −14.8344 | − | 4.67787i | −0.842537 | − | 0.265685i | ||||
\(311\) | −18.6053 | − | 10.7418i | −1.05501 | − | 0.609111i | −0.130963 | − | 0.991387i | \(-0.541807\pi\) |
−0.924048 | + | 0.382277i | \(0.875140\pi\) | |||||||
\(312\) | −6.39136 | − | 4.90539i | −0.361840 | − | 0.277713i | ||||
\(313\) | −10.4249 | − | 18.0565i | −0.589253 | − | 1.02062i | −0.994331 | − | 0.106334i | \(-0.966089\pi\) |
0.405078 | − | 0.914282i | \(-0.367244\pi\) | |||||||
\(314\) | −8.38495 | − | 9.15125i | −0.473190 | − | 0.516435i | ||||
\(315\) | 6.85501 | − | 1.02687i | 0.386236 | − | 0.0578576i | ||||
\(316\) | 0.672394 | − | 7.67894i | 0.0378251 | − | 0.431974i | ||||
\(317\) | −3.85795 | + | 14.3981i | −0.216684 | + | 0.808676i | 0.768883 | + | 0.639390i | \(0.220813\pi\) |
−0.985567 | + | 0.169287i | \(0.945854\pi\) | |||||||
\(318\) | 1.84953 | + | 1.17837i | 0.103716 | + | 0.0660800i | ||||
\(319\) | 15.4964 | + | 8.94686i | 0.867633 | + | 0.500928i | ||||
\(320\) | 5.79654 | − | 10.0347i | 0.324037 | − | 0.560960i | ||||
\(321\) | 13.0891i | 0.730565i | ||||||||
\(322\) | −1.20597 | + | 1.49017i | −0.0672060 | + | 0.0830440i | ||||
\(323\) | −15.6170 | + | 15.6170i | −0.868955 | + | 0.868955i | ||||
\(324\) | 0.256350 | + | 0.549852i | 0.0142417 | + | 0.0305473i | ||||
\(325\) | 7.31425 | − | 1.95985i | 0.405722 | − | 0.108713i | ||||
\(326\) | −17.5342 | + | 3.88655i | −0.971129 | + | 0.215256i | ||||
\(327\) | 9.80980 | − | 5.66369i | 0.542483 | − | 0.313203i | ||||
\(328\) | −0.167451 | + | 1.27083i | −0.00924595 | + | 0.0701697i | ||||
\(329\) | −8.31948 | + | 3.62078i | −0.458668 | + | 0.199620i | ||||
\(330\) | −8.30077 | − | 9.05938i | −0.456942 | − | 0.498702i | ||||
\(331\) | −0.774378 | + | 2.89002i | −0.0425637 | + | 0.158850i | −0.983937 | − | 0.178518i | \(-0.942870\pi\) |
0.941373 | + | 0.337367i | \(0.109536\pi\) | |||||||
\(332\) | −6.79803 | + | 1.19816i | −0.373091 | + | 0.0657574i | ||||
\(333\) | 7.26290 | − | 1.94609i | 0.398005 | − | 0.106645i | ||||
\(334\) | 14.0570 | + | 27.0057i | 0.769165 | + | 1.47769i | ||||
\(335\) | −9.29528 | −0.507855 | ||||||||
\(336\) | −10.1507 | + | 5.51390i | −0.553766 | + | 0.300808i | ||||
\(337\) | −20.5605 | −1.12000 | −0.560000 | − | 0.828493i | \(-0.689199\pi\) | ||||
−0.560000 | + | 0.828493i | \(0.689199\pi\) | |||||||
\(338\) | −4.04161 | − | 7.76457i | −0.219835 | − | 0.422337i | ||||
\(339\) | 14.1914 | − | 3.80257i | 0.770771 | − | 0.206527i | ||||
\(340\) | 3.30647 | + | 18.7600i | 0.179318 | + | 1.01741i | ||||
\(341\) | −10.7983 | + | 40.3000i | −0.584763 | + | 2.18237i | ||||
\(342\) | 5.80397 | + | 6.33440i | 0.313843 | + | 0.342525i | ||||
\(343\) | 6.16439 | − | 17.4643i | 0.332846 | − | 0.942981i | ||||
\(344\) | −10.8172 | + | 8.29845i | −0.583227 | + | 0.447422i | ||||
\(345\) | −0.701566 | + | 0.405049i | −0.0377711 | + | 0.0218071i | ||||
\(346\) | −27.6564 | + | 6.13019i | −1.48682 | + | 0.329561i | ||||
\(347\) | 5.78787 | − | 1.55085i | 0.310709 | − | 0.0832542i | −0.100095 | − | 0.994978i | \(-0.531915\pi\) |
0.410804 | + | 0.911724i | \(0.365248\pi\) | |||||||
\(348\) | 6.44307 | − | 3.00387i | 0.345385 | − | 0.161024i | ||||
\(349\) | −3.15549 | + | 3.15549i | −0.168909 | + | 0.168909i | −0.786500 | − | 0.617590i | \(-0.788109\pi\) |
0.617590 | + | 0.786500i | \(0.288109\pi\) | |||||||
\(350\) | 1.69514 | − | 10.7237i | 0.0906092 | − | 0.573207i | ||||
\(351\) | − | 13.6973i | − | 0.731108i | ||||||
\(352\) | −27.5692 | − | 14.3581i | −1.46944 | − | 0.765290i | ||||
\(353\) | 6.03486 | + | 3.48423i | 0.321203 | + | 0.185447i | 0.651929 | − | 0.758280i | \(-0.273960\pi\) |
−0.330726 | + | 0.943727i | \(0.607293\pi\) | |||||||
\(354\) | 8.86255 | + | 5.64653i | 0.471039 | + | 0.300110i | ||||
\(355\) | −2.41773 | + | 9.02307i | −0.128320 | + | 0.478895i | ||||
\(356\) | −15.1956 | − | 1.33058i | −0.805365 | − | 0.0705205i | ||||
\(357\) | 6.95325 | − | 17.6695i | 0.368005 | − | 0.935168i | ||||
\(358\) | −6.50790 | − | 7.10265i | −0.343953 | − | 0.375387i | ||||
\(359\) | 18.6187 | + | 32.2485i | 0.982656 | + | 1.70201i | 0.651921 | + | 0.758287i | \(0.273963\pi\) |
0.330735 | + | 0.943724i | \(0.392703\pi\) | |||||||
\(360\) | 7.34680 | − | 0.966393i | 0.387210 | − | 0.0509334i | ||||
\(361\) | 6.68329 | + | 3.85860i | 0.351752 | + | 0.203084i | ||||
\(362\) | −12.0552 | − | 3.80148i | −0.633607 | − | 0.199801i | ||||
\(363\) | −14.8146 | + | 14.8146i | −0.777566 | + | 0.777566i | ||||
\(364\) | 13.7831 | − | 0.846685i | 0.722430 | − | 0.0443784i | ||||
\(365\) | −15.2415 | − | 15.2415i | −0.797774 | − | 0.797774i | ||||
\(366\) | 6.92230 | − | 3.60319i | 0.361834 | − | 0.188342i | ||||
\(367\) | 13.0391 | − | 22.5844i | 0.680637 | − | 1.17890i | −0.294150 | − | 0.955759i | \(-0.595037\pi\) |
0.974787 | − | 0.223138i | \(-0.0716300\pi\) | |||||||
\(368\) | −1.31755 | + | 1.56972i | −0.0686820 | + | 0.0818274i | ||||
\(369\) | −0.709816 | + | 0.409813i | −0.0369516 | + | 0.0213340i | ||||
\(370\) | −0.371822 | + | 8.50888i | −0.0193301 | + | 0.442356i | ||||
\(371\) | −3.71726 | + | 0.556840i | −0.192991 | + | 0.0289097i | ||||
\(372\) | 10.6535 | + | 12.6982i | 0.552357 | + | 0.658372i | ||||
\(373\) | −35.3304 | − | 9.46676i | −1.82934 | − | 0.490170i | −0.831480 | − | 0.555555i | \(-0.812506\pi\) |
−0.997860 | + | 0.0653850i | \(0.979172\pi\) | |||||||
\(374\) | 49.8847 | − | 11.0572i | 2.57948 | − | 0.571756i | ||||
\(375\) | 6.24686 | − | 10.8199i | 0.322586 | − | 0.558736i | ||||
\(376\) | −8.96177 | + | 3.71092i | −0.462168 | + | 0.191376i | ||||
\(377\) | −8.49813 | −0.437676 | ||||||||
\(378\) | −17.9433 | − | 7.98237i | −0.922904 | − | 0.410569i | ||||
\(379\) | −0.261074 | − | 0.261074i | −0.0134105 | − | 0.0134105i | 0.700370 | − | 0.713780i | \(-0.253018\pi\) |
−0.713780 | + | 0.700370i | \(0.753018\pi\) | |||||||
\(380\) | −8.82005 | + | 4.11206i | −0.452459 | + | 0.210944i | ||||
\(381\) | −3.88041 | − | 14.4819i | −0.198799 | − | 0.741929i | ||||
\(382\) | 10.1236 | − | 15.8895i | 0.517968 | − | 0.812980i | ||||
\(383\) | 8.76848 | + | 15.1875i | 0.448048 | + | 0.776043i | 0.998259 | − | 0.0589834i | \(-0.0187859\pi\) |
−0.550211 | + | 0.835026i | \(0.685453\pi\) | |||||||
\(384\) | −10.9553 | + | 5.69938i | −0.559063 | + | 0.290845i | ||||
\(385\) | 20.9252 | + | 2.37692i | 1.06645 | + | 0.121139i | ||||
\(386\) | −0.649218 | + | 14.8569i | −0.0330443 | + | 0.756197i | ||||
\(387\) | −8.42070 | − | 2.25632i | −0.428048 | − | 0.114695i | ||||
\(388\) | 18.3729 | + | 12.8669i | 0.932745 | + | 0.653218i | ||||
\(389\) | 5.76625 | + | 21.5199i | 0.292361 | + | 1.09110i | 0.943291 | + | 0.331967i | \(0.107712\pi\) |
−0.650930 | + | 0.759137i | \(0.725621\pi\) | |||||||
\(390\) | 5.56532 | + | 1.75496i | 0.281811 | + | 0.0888661i | ||||
\(391\) | − | 3.36874i | − | 0.170365i | ||||||
\(392\) | 6.92321 | − | 18.5491i | 0.349675 | − | 0.936871i | ||||
\(393\) | 3.18058i | 0.160439i | ||||||||
\(394\) | −8.45934 | + | 26.8261i | −0.426175 | + | 1.35148i | ||||
\(395\) | 1.44500 | + | 5.39281i | 0.0727058 | + | 0.271342i | ||||
\(396\) | −3.44998 | − | 19.5743i | −0.173368 | − | 0.983645i | ||||
\(397\) | −22.8599 | − | 6.12529i | −1.14730 | − | 0.307419i | −0.365420 | − | 0.930843i | \(-0.619075\pi\) |
−0.781884 | + | 0.623424i | \(0.785741\pi\) | |||||||
\(398\) | 34.1791 | + | 1.49356i | 1.71324 | + | 0.0748655i | ||||
\(399\) | 9.63844 | + | 1.09484i | 0.482526 | + | 0.0548108i | ||||
\(400\) | 2.01714 | − | 11.4299i | 0.100857 | − | 0.571493i | ||||
\(401\) | −3.87231 | − | 6.70703i | −0.193374 | − | 0.334933i | 0.752992 | − | 0.658029i | \(-0.228610\pi\) |
−0.946366 | + | 0.323096i | \(0.895276\pi\) | |||||||
\(402\) | 8.35388 | + | 5.32244i | 0.416654 | + | 0.265459i | ||||
\(403\) | −5.12838 | − | 19.1394i | −0.255463 | − | 0.953400i | ||||
\(404\) | 13.3087 | − | 36.5570i | 0.662134 | − | 1.81878i | ||||
\(405\) | −0.310707 | − | 0.310707i | −0.0154392 | − | 0.0154392i | ||||
\(406\) | −4.95245 | + | 11.1325i | −0.245786 | + | 0.552495i | ||||
\(407\) | 22.8451 | 1.13239 | ||||||||
\(408\) | 7.77033 | − | 18.7533i | 0.384689 | − | 0.928429i | ||||
\(409\) | 15.9651 | − | 27.6524i | 0.789425 | − | 1.36732i | −0.136894 | − | 0.990586i | \(-0.543712\pi\) |
0.926320 | − | 0.376739i | \(-0.122955\pi\) | |||||||
\(410\) | −0.200909 | − | 0.906402i | −0.00992220 | − | 0.0447640i | ||||
\(411\) | 7.61745 | + | 2.04109i | 0.375741 | + | 0.100680i | ||||
\(412\) | 1.23898 | − | 14.1495i | 0.0610400 | − | 0.697095i | ||||
\(413\) | −17.8124 | + | 2.66827i | −0.876489 | + | 0.131297i | ||||
\(414\) | −1.30918 | − | 0.0572087i | −0.0643428 | − | 0.00281166i | ||||
\(415\) | 4.32981 | − | 2.49981i | 0.212542 | − | 0.122711i | ||||
\(416\) | 14.7486 | − | 0.641198i | 0.723109 | − | 0.0314373i | ||||
\(417\) | 0.547209 | − | 0.947793i | 0.0267969 | − | 0.0464136i | ||||
\(418\) | 12.0520 | + | 23.1538i | 0.589484 | + | 1.13249i | ||||
\(419\) | −6.96449 | − | 6.96449i | −0.340238 | − | 0.340238i | 0.516219 | − | 0.856457i | \(-0.327339\pi\) |
−0.856457 | + | 0.516219i | \(0.827339\pi\) | |||||||
\(420\) | 5.54228 | − | 6.26776i | 0.270435 | − | 0.305835i | ||||
\(421\) | 6.31935 | − | 6.31935i | 0.307986 | − | 0.307986i | −0.536142 | − | 0.844128i | \(-0.680119\pi\) |
0.844128 | + | 0.536142i | \(0.180119\pi\) | |||||||
\(422\) | −5.30084 | + | 16.8099i | −0.258041 | + | 0.818295i | ||||
\(423\) | −5.37132 | − | 3.10113i | −0.261162 | − | 0.150782i | ||||
\(424\) | −3.98394 | + | 0.524045i | −0.193477 | + | 0.0254499i | ||||
\(425\) | 9.53929 | + | 16.5225i | 0.462724 | + | 0.801461i | ||||
\(426\) | 7.33944 | − | 6.72486i | 0.355597 | − | 0.325821i | ||||
\(427\) | −4.89795 | + | 12.4466i | −0.237028 | + | 0.602331i | ||||
\(428\) | −15.4148 | − | 18.3734i | −0.745101 | − | 0.888110i | ||||
\(429\) | 4.05114 | − | 15.1191i | 0.195591 | − | 0.729955i | ||||
\(430\) | 5.30599 | − | 8.32805i | 0.255878 | − | 0.401614i | ||||
\(431\) | −5.61569 | − | 3.24222i | −0.270498 | − | 0.156172i | 0.358616 | − | 0.933485i | \(-0.383249\pi\) |
−0.629114 | + | 0.777313i | \(0.716582\pi\) | |||||||
\(432\) | −19.0264 | − | 8.87557i | −0.915406 | − | 0.427026i | ||||
\(433\) | 17.1718i | 0.825223i | 0.910907 | + | 0.412612i | \(0.135383\pi\) | ||||
−0.910907 | + | 0.412612i | \(0.864617\pi\) | |||||||
\(434\) | −28.0610 | − | 4.43572i | −1.34697 | − | 0.212921i | ||||
\(435\) | −3.64081 | + | 3.64081i | −0.174564 | + | 0.174564i | ||||
\(436\) | −7.10012 | + | 19.5029i | −0.340034 | + | 0.934021i | ||||
\(437\) | 1.66232 | − | 0.445418i | 0.0795196 | − | 0.0213072i | ||||
\(438\) | 4.97064 | + | 22.4250i | 0.237506 | + | 1.07151i | ||||
\(439\) | 27.1054 | − | 15.6493i | 1.29367 | − | 0.746900i | 0.314366 | − | 0.949302i | \(-0.398208\pi\) |
0.979302 | + | 0.202402i | \(0.0648749\pi\) | |||||||
\(440\) | 22.3209 | + | 2.94112i | 1.06411 | + | 0.140213i | ||||
\(441\) | 12.1043 | − | 3.70966i | 0.576396 | − | 0.176650i | ||||
\(442\) | −17.8917 | + | 16.3935i | −0.851020 | + | 0.779758i | ||||
\(443\) | 3.13752 | − | 11.7094i | 0.149068 | − | 0.556330i | −0.850472 | − | 0.526020i | \(-0.823684\pi\) |
0.999541 | − | 0.0303104i | \(-0.00964958\pi\) | |||||||
\(444\) | 5.20632 | − | 7.43422i | 0.247081 | − | 0.352813i | ||||
\(445\) | 10.6717 | − | 2.85946i | 0.505885 | − | 0.135552i | ||||
\(446\) | −6.83551 | + | 3.55802i | −0.323671 | + | 0.168477i | ||||
\(447\) | 10.3914 | 0.491495 | ||||||||
\(448\) | 7.75506 | − | 19.6941i | 0.366392 | − | 0.930461i | ||||
\(449\) | 33.4968 | 1.58081 | 0.790406 | − | 0.612583i | \(-0.209869\pi\) | ||||
0.790406 | + | 0.612583i | \(0.209869\pi\) | |||||||
\(450\) | 6.58309 | − | 3.42663i | 0.310330 | − | 0.161533i | ||||
\(451\) | −2.40539 | + | 0.644522i | −0.113265 | + | 0.0303494i | ||||
\(452\) | −15.4424 | + | 22.0506i | −0.726350 | + | 1.03717i | ||||
\(453\) | −2.00621 | + | 7.48729i | −0.0942601 | + | 0.351783i | ||||
\(454\) | −1.56918 | + | 1.43778i | −0.0736454 | + | 0.0674786i | ||||
\(455\) | −9.17085 | + | 3.99130i | −0.429936 | + | 0.187115i | ||||
\(456\) | 10.2813 | + | 1.35473i | 0.481467 | + | 0.0634408i | ||||
\(457\) | 2.60908 | − | 1.50635i | 0.122047 | − | 0.0704641i | −0.437733 | − | 0.899105i | \(-0.644219\pi\) |
0.559781 | + | 0.828641i | \(0.310885\pi\) | |||||||
\(458\) | 1.51417 | + | 6.83118i | 0.0707525 | + | 0.319200i | ||||
\(459\) | 33.3349 | − | 8.93205i | 1.55594 | − | 0.416912i | ||||
\(460\) | 0.507779 | − | 1.39479i | 0.0236753 | − | 0.0650324i | ||||
\(461\) | 20.6763 | − | 20.6763i | 0.962993 | − | 0.962993i | −0.0363467 | − | 0.999339i | \(-0.511572\pi\) |
0.999339 | + | 0.0363467i | \(0.0115721\pi\) | |||||||
\(462\) | −17.4449 | − | 14.1179i | −0.811611 | − | 0.656823i | ||||
\(463\) | − | 11.6775i | − | 0.542697i | −0.962481 | − | 0.271349i | \(-0.912530\pi\) | ||
0.962481 | − | 0.271349i | \(-0.0874696\pi\) | |||||||
\(464\) | −5.50661 | + | 11.8044i | −0.255638 | + | 0.548006i | ||||
\(465\) | −10.3969 | − | 6.00266i | −0.482145 | − | 0.278367i | ||||
\(466\) | −9.44600 | + | 14.8260i | −0.437577 | + | 0.686803i | ||||
\(467\) | 2.62788 | − | 9.80739i | 0.121604 | − | 0.453832i | −0.878092 | − | 0.478492i | \(-0.841184\pi\) |
0.999696 | + | 0.0246599i | \(0.00785029\pi\) | |||||||
\(468\) | 6.06709 | + | 7.23157i | 0.280451 | + | 0.334279i | ||||
\(469\) | −16.7900 | + | 2.51512i | −0.775290 | + | 0.116137i | ||||
\(470\) | 5.17984 | − | 4.74609i | 0.238928 | − | 0.218921i | ||||
\(471\) | −4.78986 | − | 8.29629i | −0.220705 | − | 0.382273i | ||||
\(472\) | −19.0902 | + | 2.51112i | −0.878700 | + | 0.115584i | ||||
\(473\) | −22.9383 | − | 13.2434i | −1.05470 | − | 0.608933i | ||||
\(474\) | 1.78925 | − | 5.67404i | 0.0821830 | − | 0.260617i | ||||
\(475\) | −6.89183 | + | 6.89183i | −0.316219 | + | 0.316219i | ||||
\(476\) | 11.0485 | + | 32.9915i | 0.506409 | + | 1.51216i | ||||
\(477\) | −1.81683 | − | 1.81683i | −0.0831870 | − | 0.0831870i | ||||
\(478\) | 4.79301 | + | 9.20812i | 0.219227 | + | 0.421170i | ||||
\(479\) | −5.72312 | + | 9.91273i | −0.261496 | + | 0.452924i | −0.966640 | − | 0.256140i | \(-0.917549\pi\) |
0.705144 | + | 0.709064i | \(0.250882\pi\) | |||||||
\(480\) | 6.04396 | − | 6.59337i | 0.275868 | − | 0.300945i | ||||
\(481\) | −9.39606 | + | 5.42482i | −0.428424 | + | 0.247350i | ||||
\(482\) | 14.6569 | + | 0.640478i | 0.667604 | + | 0.0291730i | ||||
\(483\) | −1.15764 | + | 0.921468i | −0.0526743 | + | 0.0419283i | ||||
\(484\) | 3.34862 | − | 38.2423i | 0.152210 | − | 1.73828i | ||||
\(485\) | −15.6925 | − | 4.20479i | −0.712560 | − | 0.190930i | ||||
\(486\) | −4.71760 | − | 21.2834i | −0.213994 | − | 0.965436i | ||||
\(487\) | 4.85037 | − | 8.40108i | 0.219791 | − | 0.380689i | −0.734953 | − | 0.678118i | \(-0.762796\pi\) |
0.954744 | + | 0.297429i | \(0.0961291\pi\) | |||||||
\(488\) | −5.47351 | + | 13.2101i | −0.247774 | + | 0.597991i | ||||
\(489\) | −13.8618 | −0.626851 | ||||||||
\(490\) | −0.115926 | + | 14.3397i | −0.00523699 | + | 0.647802i | ||||
\(491\) | −11.4667 | − | 11.4667i | −0.517483 | − | 0.517483i | 0.399326 | − | 0.916809i | \(-0.369244\pi\) |
−0.916809 | + | 0.399326i | \(0.869244\pi\) | |||||||
\(492\) | −0.338441 | + | 0.929644i | −0.0152581 | + | 0.0419116i | ||||
\(493\) | −5.54166 | − | 20.6817i | −0.249584 | − | 0.931459i | ||||
\(494\) | −10.4551 | − | 6.66117i | −0.470396 | − | 0.299700i | ||||
\(495\) | 7.19798 | + | 12.4673i | 0.323525 | + | 0.560362i | ||||
\(496\) | −29.9088 | − | 5.27830i | −1.34294 | − | 0.237002i | ||||
\(497\) | −1.92566 | + | 16.9525i | −0.0863776 | + | 0.760424i | ||||
\(498\) | −5.32268 | − | 0.232591i | −0.238515 | − | 0.0104226i | ||||
\(499\) | −18.4338 | − | 4.93931i | −0.825209 | − | 0.221114i | −0.178586 | − | 0.983924i | \(-0.557152\pi\) |
−0.646623 | + | 0.762810i | \(0.723819\pi\) | |||||||
\(500\) | 3.97352 | + | 22.5447i | 0.177701 | + | 1.00823i | ||||
\(501\) | 6.08181 | + | 22.6976i | 0.271715 | + | 1.01405i | ||||
\(502\) | −0.241627 | + | 0.766245i | −0.0107844 | + | 0.0341992i | ||||
\(503\) | 22.4043i | 0.998960i | 0.866325 | + | 0.499480i | \(0.166476\pi\) | ||||
−0.866325 | + | 0.499480i | \(0.833524\pi\) | |||||||
\(504\) | 13.0090 | − | 3.73349i | 0.579466 | − | 0.166303i | ||||
\(505\) | 28.1779i | 1.25390i | ||||||||
\(506\) | −3.79712 | − | 1.19738i | −0.168803 | − | 0.0532302i | ||||
\(507\) | −1.74862 | − | 6.52593i | −0.0776588 | − | 0.289827i | ||||
\(508\) | 22.5019 | + | 15.7585i | 0.998361 | + | 0.699170i | ||||
\(509\) | −14.6122 | − | 3.91534i | −0.647676 | − | 0.173544i | −0.0799982 | − | 0.996795i | \(-0.525491\pi\) |
−0.567678 | + | 0.823251i | \(0.692158\pi\) | |||||||
\(510\) | −0.641864 | + | 14.6886i | −0.0284222 | + | 0.650423i | ||||
\(511\) | −31.6546 | − | 23.4065i | −1.40032 | − | 1.03544i | ||||
\(512\) | 8.66611 | − | 20.9021i | 0.382992 | − | 0.923752i | ||||
\(513\) | 8.81512 | + | 15.2682i | 0.389197 | + | 0.674109i | ||||
\(514\) | −6.95132 | + | 10.9105i | −0.306609 | + | 0.481241i | ||||
\(515\) | 2.66261 | + | 9.93698i | 0.117328 | + | 0.437876i | ||||
\(516\) | −9.53723 | + | 4.44642i | −0.419853 | + | 0.195743i | ||||
\(517\) | −13.3248 | − | 13.3248i | −0.586025 | − | 0.586025i | ||||
\(518\) | 1.63071 | + | 15.4701i | 0.0716495 | + | 0.679719i | ||||
\(519\) | −21.8639 | −0.959721 | ||||||||
\(520\) | −9.87887 | + | 4.09067i | −0.433217 | + | 0.179388i | ||||
\(521\) | −3.63800 | + | 6.30121i | −0.159384 | + | 0.276061i | −0.934647 | − | 0.355578i | \(-0.884284\pi\) |
0.775263 | + | 0.631639i | \(0.217617\pi\) | |||||||
\(522\) | −8.13158 | + | 1.80241i | −0.355909 | + | 0.0788894i | ||||
\(523\) | 17.4249 | + | 4.66897i | 0.761936 | + | 0.204160i | 0.618806 | − | 0.785544i | \(-0.287617\pi\) |
0.143130 | + | 0.989704i | \(0.454283\pi\) | |||||||
\(524\) | −3.74569 | − | 4.46461i | −0.163631 | − | 0.195037i | ||||
\(525\) | 3.06849 | − | 7.79758i | 0.133920 | − | 0.340314i | ||||
\(526\) | 0.282910 | − | 6.47421i | 0.0123355 | − | 0.282289i | ||||
\(527\) | 43.2349 | − | 24.9617i | 1.88334 | − | 1.08735i | ||||
\(528\) | −18.3762 | − | 15.4241i | −0.799722 | − | 0.671248i | ||||
\(529\) | 11.3688 | − | 19.6913i | 0.494294 | − | 0.856141i | ||||
\(530\) | 2.58159 | − | 1.34377i | 0.112137 | − | 0.0583696i | ||||
\(531\) | −8.70588 | − | 8.70588i | −0.377803 | − | 0.377803i | ||||
\(532\) | −14.8190 | + | 9.81412i | −0.642483 | + | 0.425496i | ||||
\(533\) | 0.836275 | − | 0.836275i | 0.0362231 | − | 0.0362231i | ||||
\(534\) | −11.2282 | − | 3.54069i | −0.485891 | − | 0.153221i | ||||
\(535\) | 15.0435 | + | 8.68540i | 0.650389 | + | 0.375502i | ||||
\(536\) | −17.9945 | + | 2.36699i | −0.777245 | + | 0.102238i | ||||
\(537\) | −3.71761 | − | 6.43909i | −0.160427 | − | 0.277867i | ||||
\(538\) | 9.12219 | + | 9.95586i | 0.393286 | + | 0.429228i | ||||
\(539\) | 38.4402 | − | 1.36852i | 1.65574 | − | 0.0589463i | ||||
\(540\) | 15.1483 | + | 1.32643i | 0.651878 | + | 0.0570806i | ||||
\(541\) | 0.701247 | − | 2.61709i | 0.0301490 | − | 0.112518i | −0.949212 | − | 0.314638i | \(-0.898117\pi\) |
0.979361 | + | 0.202121i | \(0.0647834\pi\) | |||||||
\(542\) | 8.68716 | + | 5.53479i | 0.373146 | + | 0.237739i | ||||
\(543\) | −8.44907 | − | 4.87808i | −0.362585 | − | 0.209338i | ||||
\(544\) | 11.1781 | + | 35.4752i | 0.479255 | + | 1.52099i | ||||
\(545\) | − | 15.0327i | − | 0.643931i | ||||||
\(546\) | 10.5275 | + | 1.66412i | 0.450534 | + | 0.0712177i | ||||
\(547\) | −20.4366 | + | 20.4366i | −0.873807 | + | 0.873807i | −0.992885 | − | 0.119078i | \(-0.962006\pi\) |
0.119078 | + | 0.992885i | \(0.462006\pi\) | |||||||
\(548\) | −13.0964 | + | 6.10579i | −0.559452 | + | 0.260826i | ||||
\(549\) | −8.83170 | + | 2.36645i | −0.376928 | + | 0.100998i | ||||
\(550\) | 22.0142 | − | 4.87958i | 0.938690 | − | 0.208066i | ||||
\(551\) | 9.47278 | − | 5.46911i | 0.403554 | − | 0.232992i | ||||
\(552\) | −1.25500 | + | 0.962777i | −0.0534165 | + | 0.0409785i | ||||
\(553\) | 4.06928 | + | 9.35002i | 0.173043 | + | 0.397603i | ||||
\(554\) | 30.9313 | + | 33.7581i | 1.31415 | + | 1.43424i | ||||
\(555\) | −1.70138 | + | 6.34964i | −0.0722196 | + | 0.269527i | ||||
\(556\) | 0.348070 | + | 1.97486i | 0.0147615 | + | 0.0837528i | ||||
\(557\) | −4.56137 | + | 1.22222i | −0.193271 | + | 0.0517869i | −0.354156 | − | 0.935186i | \(-0.615232\pi\) |
0.160885 | + | 0.986973i | \(0.448565\pi\) | |||||||
\(558\) | −8.96653 | − | 17.2261i | −0.379584 | − | 0.729239i | ||||
\(559\) | 12.5792 | 0.532044 | ||||||||
\(560\) | −0.398365 | + | 15.3251i | −0.0168340 | + | 0.647605i | ||||
\(561\) | 39.4367 | 1.66502 | ||||||||
\(562\) | 2.67637 | + | 5.14172i | 0.112896 | + | 0.216891i | ||||
\(563\) | −7.08884 | + | 1.89945i | −0.298759 | + | 0.0800522i | −0.405085 | − | 0.914279i | \(-0.632758\pi\) |
0.106326 | + | 0.994331i | \(0.466091\pi\) | |||||||
\(564\) | −7.37283 | + | 1.29947i | −0.310452 | + | 0.0547174i | ||||
\(565\) | 5.04645 | − | 18.8336i | 0.212306 | − | 0.792335i | ||||
\(566\) | −13.0515 | − | 14.2443i | −0.548596 | − | 0.598732i | ||||
\(567\) | −0.645300 | − | 0.477158i | −0.0271001 | − | 0.0200387i | ||||
\(568\) | −2.38275 | + | 18.0832i | −0.0999779 | + | 0.758756i | ||||
\(569\) | −10.8006 | + | 6.23575i | −0.452787 | + | 0.261416i | −0.709006 | − | 0.705202i | \(-0.750856\pi\) |
0.256220 | + | 0.966619i | \(0.417523\pi\) | |||||||
\(570\) | −7.33303 | + | 1.62541i | −0.307147 | + | 0.0680809i | ||||
\(571\) | −37.0996 | + | 9.94080i | −1.55257 | + | 0.416010i | −0.930302 | − | 0.366795i | \(-0.880455\pi\) |
−0.622267 | + | 0.782805i | \(0.713788\pi\) | |||||||
\(572\) | 12.1187 | + | 25.9937i | 0.506709 | + | 1.08685i | ||||
\(573\) | 10.2824 | − | 10.2824i | 0.429555 | − | 0.429555i | ||||
\(574\) | −0.608155 | − | 1.58287i | −0.0253839 | − | 0.0660676i | ||||
\(575\) | − | 1.48663i | − | 0.0619969i | ||||||
\(576\) | 13.9764 | − | 3.74164i | 0.582351 | − | 0.155902i | ||||
\(577\) | −16.4040 | − | 9.47084i | −0.682906 | − | 0.394276i | 0.118043 | − | 0.993009i | \(-0.462338\pi\) |
−0.800949 | + | 0.598732i | \(0.795671\pi\) | |||||||
\(578\) | −31.2877 | − | 19.9341i | −1.30140 | − | 0.829148i | ||||
\(579\) | −2.97069 | + | 11.0868i | −0.123458 | + | 0.460750i | ||||
\(580\) | 0.822951 | − | 9.39835i | 0.0341712 | − | 0.390245i | ||||
\(581\) | 7.14450 | − | 5.68696i | 0.296404 | − | 0.235935i | ||||
\(582\) | 11.6956 | + | 12.7644i | 0.484797 | + | 0.529102i | ||||
\(583\) | −3.90324 | − | 6.76062i | −0.161656 | − | 0.279996i | ||||
\(584\) | −33.3868 | − | 25.6245i | −1.38155 | − | 1.06035i | ||||
\(585\) | −5.92098 | − | 3.41848i | −0.244803 | − | 0.141337i | ||||
\(586\) | −31.8425 | − | 10.0412i | −1.31540 | − | 0.414799i | ||||
\(587\) | −7.54134 | + | 7.54134i | −0.311264 | + | 0.311264i | −0.845399 | − | 0.534135i | \(-0.820637\pi\) |
0.534135 | + | 0.845399i | \(0.320637\pi\) | |||||||
\(588\) | 8.31505 | − | 12.8211i | 0.342907 | − | 0.528731i | ||||
\(589\) | 18.0340 | + | 18.0340i | 0.743078 | + | 0.743078i | ||||
\(590\) | 12.3705 | − | 6.43907i | 0.509283 | − | 0.265092i | ||||
\(591\) | −10.8551 | + | 18.8015i | −0.446517 | + | 0.773391i | ||||
\(592\) | 1.44694 | + | 16.5668i | 0.0594687 | + | 0.680893i | ||||
\(593\) | −10.2804 | + | 5.93539i | −0.422165 | + | 0.243737i | −0.696003 | − | 0.718039i | \(-0.745040\pi\) |
0.273838 | + | 0.961776i | \(0.411707\pi\) | |||||||
\(594\) | 1.78064 | − | 40.7486i | 0.0730604 | − | 1.67194i | ||||
\(595\) | −15.6939 | − | 19.7162i | −0.643387 | − | 0.808284i | ||||
\(596\) | −14.5865 | + | 12.2377i | −0.597485 | + | 0.501274i | ||||
\(597\) | 25.5057 | + | 6.83423i | 1.04388 | + | 0.279706i | ||||
\(598\) | 1.84607 | − | 0.409192i | 0.0754914 | − | 0.0167331i | ||||
\(599\) | −10.9170 | + | 18.9089i | −0.446058 | + | 0.772595i | −0.998125 | − | 0.0612043i | \(-0.980506\pi\) |
0.552067 | + | 0.833800i | \(0.313839\pi\) | |||||||
\(600\) | 3.42907 | − | 8.27589i | 0.139991 | − | 0.337862i | ||||
\(601\) | 37.4893 | 1.52922 | 0.764610 | − | 0.644493i | \(-0.222932\pi\) | ||||
0.764610 | + | 0.644493i | \(0.222932\pi\) | |||||||
\(602\) | 7.33077 | − | 16.4786i | 0.298780 | − | 0.671618i | ||||
\(603\) | −8.20620 | − | 8.20620i | −0.334182 | − | 0.334182i | ||||
\(604\) | −6.00145 | − | 12.8727i | −0.244196 | − | 0.523781i | ||||
\(605\) | 7.19631 | + | 26.8570i | 0.292572 | + | 1.09189i | ||||
\(606\) | 16.1345 | − | 25.3241i | 0.655421 | − | 1.02872i | ||||
\(607\) | 2.33958 | + | 4.05227i | 0.0949605 | + | 0.164476i | 0.909592 | − | 0.415502i | \(-0.136394\pi\) |
−0.814632 | + | 0.579979i | \(0.803061\pi\) | |||||||
\(608\) | −16.0274 | + | 10.2064i | −0.649998 | + | 0.413925i | ||||
\(609\) | −5.59125 | + | 7.56151i | −0.226569 | + | 0.306408i | ||||
\(610\) | 0.452136 | − | 10.3468i | 0.0183065 | − | 0.418930i | ||||
\(611\) | 8.64456 | + | 2.31630i | 0.349721 | + | 0.0937075i | ||||
\(612\) | −13.6430 | + | 19.4811i | −0.551484 | + | 0.787476i | ||||
\(613\) | 1.31216 | + | 4.89703i | 0.0529975 | + | 0.197789i | 0.987349 | − | 0.158564i | \(-0.0506865\pi\) |
−0.934351 | + | 0.356354i | \(0.884020\pi\) | |||||||
\(614\) | −31.9662 | − | 10.0802i | −1.29005 | − | 0.406805i | ||||
\(615\) | − | 0.716563i | − | 0.0288946i | ||||||
\(616\) | 41.1139 | − | 0.727048i | 1.65653 | − | 0.0292936i | ||||
\(617\) | 16.4696i | 0.663041i | 0.943448 | + | 0.331520i | \(0.107562\pi\) | ||||
−0.943448 | + | 0.331520i | \(0.892438\pi\) | |||||||
\(618\) | 3.29694 | − | 10.4552i | 0.132622 | − | 0.420570i | ||||
\(619\) | 3.93490 | + | 14.6852i | 0.158157 | + | 0.590249i | 0.998814 | + | 0.0486822i | \(0.0155021\pi\) |
−0.840657 | + | 0.541567i | \(0.817831\pi\) | |||||||
\(620\) | 21.6634 | − | 3.81819i | 0.870024 | − | 0.153342i | ||||
\(621\) | −2.59751 | − | 0.696000i | −0.104234 | − | 0.0279295i | ||||
\(622\) | 30.3534 | + | 1.32638i | 1.21706 | + | 0.0531832i | ||||
\(623\) | 18.5024 | − | 8.05257i | 0.741285 | − | 0.322619i | ||||
\(624\) | 11.2207 | + | 1.98022i | 0.449186 | + | 0.0792723i | ||||
\(625\) | −1.03623 | − | 1.79481i | −0.0414493 | − | 0.0717922i | ||||
\(626\) | 24.8678 | + | 15.8438i | 0.993918 | + | 0.633247i | ||||
\(627\) | 5.21435 | + | 19.4602i | 0.208241 | + | 0.777167i | ||||
\(628\) | 16.4939 | + | 6.00468i | 0.658179 | + | 0.239613i | ||||
\(629\) | −19.3295 | − | 19.3295i | −0.770717 | − | 0.770717i | ||||
\(630\) | −7.92874 | + | 5.76423i | −0.315889 | + | 0.229653i | ||||
\(631\) | −6.82302 | −0.271620 | −0.135810 | − | 0.990735i | \(-0.543364\pi\) | ||||
−0.135810 | + | 0.990735i | \(0.543364\pi\) | |||||||
\(632\) | 4.17059 | + | 10.0719i | 0.165897 | + | 0.400638i | ||||
\(633\) | −6.80206 | + | 11.7815i | −0.270357 | + | 0.468273i | ||||
\(634\) | −4.56184 | − | 20.5807i | −0.181174 | − | 0.817365i | ||||
\(635\) | −19.2191 | − | 5.14974i | −0.762686 | − | 0.204361i | ||||
\(636\) | −3.08957 | − | 0.270533i | −0.122509 | − | 0.0107273i | ||||
\(637\) | −15.4853 | + | 9.69092i | −0.613549 | + | 0.383968i | ||||
\(638\) | −25.2814 | − | 1.10475i | −1.00090 | − | 0.0437375i | ||||
\(639\) | −10.1003 | + | 5.83143i | −0.399563 | + | 0.230688i | ||||
\(640\) | −0.719117 | + | 16.3730i | −0.0284256 | + | 0.647200i | ||||
\(641\) | −16.5379 | + | 28.6446i | −0.653210 | + | 1.13139i | 0.329130 | + | 0.944285i | \(0.393245\pi\) |
−0.982339 | + | 0.187108i | \(0.940089\pi\) | |||||||
\(642\) | −8.54675 | − | 16.4196i | −0.337313 | − | 0.648032i | ||||
\(643\) | 14.7445 | + | 14.7445i | 0.581464 | + | 0.581464i | 0.935306 | − | 0.353841i | \(-0.115125\pi\) |
−0.353841 | + | 0.935306i | \(0.615125\pi\) | |||||||
\(644\) | 0.539796 | − | 2.65680i | 0.0212709 | − | 0.104692i | ||||
\(645\) | 5.38925 | − | 5.38925i | 0.212201 | − | 0.212201i | ||||
\(646\) | 9.39337 | − | 29.7881i | 0.369577 | − | 1.17200i | ||||
\(647\) | 9.62533 | + | 5.55719i | 0.378411 | + | 0.218476i | 0.677127 | − | 0.735867i | \(-0.263225\pi\) |
−0.298716 | + | 0.954342i | \(0.596558\pi\) | |||||||
\(648\) | −0.680612 | − | 0.522372i | −0.0267369 | − | 0.0205207i | ||||
\(649\) | −18.7035 | − | 32.3955i | −0.734178 | − | 1.27163i | ||||
\(650\) | −7.89563 | + | 7.23448i | −0.309692 | + | 0.283759i | ||||
\(651\) | −20.4041 | − | 8.02937i | −0.799699 | − | 0.314696i | ||||
\(652\) | 19.4579 | − | 16.3247i | 0.762031 | − | 0.639324i | ||||
\(653\) | −4.35285 | + | 16.2451i | −0.170340 | + | 0.635718i | 0.826958 | + | 0.562263i | \(0.190069\pi\) |
−0.997299 | + | 0.0734551i | \(0.976597\pi\) | |||||||
\(654\) | −8.60768 | + | 13.5102i | −0.336587 | + | 0.528292i | ||||
\(655\) | 3.65548 | + | 2.11049i | 0.142831 | + | 0.0824638i | ||||
\(656\) | −0.619746 | − | 1.70352i | −0.0241970 | − | 0.0665114i | ||||
\(657\) | − | 26.9114i | − | 1.04991i | ||||||
\(658\) | 8.07211 | − | 9.97440i | 0.314684 | − | 0.388843i | ||||
\(659\) | 32.5839 | − | 32.5839i | 1.26929 | − | 1.26929i | 0.322834 | − | 0.946455i | \(-0.395364\pi\) |
0.946455 | − | 0.322834i | \(-0.104636\pi\) | |||||||
\(660\) | 16.3283 | + | 5.94440i | 0.635579 | + | 0.231385i | ||||
\(661\) | 16.9365 | − | 4.53812i | 0.658753 | − | 0.176512i | 0.0860697 | − | 0.996289i | \(-0.472569\pi\) |
0.572683 | + | 0.819777i | \(0.305903\pi\) | |||||||
\(662\) | −0.915664 | − | 4.13102i | −0.0355883 | − | 0.160557i | ||||
\(663\) | −16.2201 | + | 9.36470i | −0.629938 | + | 0.363695i | ||||
\(664\) | 7.74542 | − | 5.94190i | 0.300580 | − | 0.230590i | ||||
\(665\) | 7.65398 | − | 10.3511i | 0.296809 | − | 0.401399i | ||||
\(666\) | −7.84020 | + | 7.18368i | −0.303801 | + | 0.278362i | ||||
\(667\) | −0.431815 | + | 1.61155i | −0.0167199 | + | 0.0623996i | ||||
\(668\) | −35.2675 | − | 24.6985i | −1.36454 | − | 0.955613i | ||||
\(669\) | −5.74507 | + | 1.53939i | −0.222117 | + | 0.0595162i | ||||
\(670\) | 11.6604 | − | 6.06949i | 0.450482 | − | 0.234485i | ||||
\(671\) | −27.7796 | −1.07242 | ||||||||
\(672\) | 9.13313 | − | 13.5449i | 0.352318 | − | 0.522507i | ||||
\(673\) | 11.0728 | 0.426827 | 0.213413 | − | 0.976962i | \(-0.431542\pi\) | ||||
0.213413 | + | 0.976962i | \(0.431542\pi\) | |||||||
\(674\) | 25.7920 | − | 13.4253i | 0.993471 | − | 0.517122i | ||||
\(675\) | 14.7107 | − | 3.94173i | 0.566217 | − | 0.151717i | ||||
\(676\) | 10.1400 | + | 7.10121i | 0.389999 | + | 0.273123i | ||||
\(677\) | 1.52639 | − | 5.69655i | 0.0586638 | − | 0.218936i | −0.930371 | − | 0.366620i | \(-0.880515\pi\) |
0.989035 | + | 0.147684i | \(0.0471817\pi\) | |||||||
\(678\) | −15.3194 | + | 14.0366i | −0.588338 | + | 0.539073i | ||||
\(679\) | −29.4830 | − | 3.34902i | −1.13145 | − | 0.128523i | ||||
\(680\) | −16.3974 | − | 21.3745i | −0.628813 | − | 0.819674i | ||||
\(681\) | −1.42258 | + | 0.821328i | −0.0545135 | + | 0.0314734i | ||||
\(682\) | −12.7685 | − | 57.6051i | −0.488931 | − | 2.20581i | ||||
\(683\) | 3.07699 | − | 0.824476i | 0.117738 | − | 0.0315477i | −0.199469 | − | 0.979904i | \(-0.563922\pi\) |
0.317207 | + | 0.948356i | \(0.397255\pi\) | |||||||
\(684\) | −11.4169 | − | 4.15638i | −0.436537 | − | 0.158923i | ||||
\(685\) | 7.40047 | − | 7.40047i | 0.282757 | − | 0.282757i | ||||
\(686\) | 3.67065 | + | 25.9331i | 0.140146 | + | 0.990131i | ||||
\(687\) | 5.40044i | 0.206040i | ||||||||
\(688\) | 8.15106 | − | 17.4732i | 0.310756 | − | 0.666161i | ||||
\(689\) | 3.21077 | + | 1.85374i | 0.122321 | + | 0.0706218i | ||||
\(690\) | 0.615595 | − | 0.966211i | 0.0234353 | − | 0.0367830i | ||||
\(691\) | −5.47470 | + | 20.4319i | −0.208267 | + | 0.777265i | 0.780161 | + | 0.625578i | \(0.215137\pi\) |
−0.988429 | + | 0.151686i | \(0.951530\pi\) | |||||||
\(692\) | 30.6906 | − | 25.7486i | 1.16668 | − | 0.978816i | ||||
\(693\) | 16.3751 | + | 20.5719i | 0.622037 | + | 0.781462i | ||||
\(694\) | −6.24792 | + | 5.72474i | −0.237168 | + | 0.217308i | ||||
\(695\) | −0.726208 | − | 1.25783i | −0.0275466 | − | 0.0477122i | ||||
\(696\) | −6.12106 | + | 7.97529i | −0.232018 | + | 0.302303i | ||||
\(697\) | 2.58056 | + | 1.48989i | 0.0977458 | + | 0.0564336i | ||||
\(698\) | 1.89797 | − | 6.01882i | 0.0718392 | − | 0.227816i | ||||
\(699\) | −9.59422 | + | 9.59422i | −0.362887 | + | 0.362887i | ||||
\(700\) | 4.87575 | + | 14.5592i | 0.184286 | + | 0.550287i | ||||
\(701\) | 19.0687 | + | 19.0687i | 0.720214 | + | 0.720214i | 0.968649 | − | 0.248435i | \(-0.0799162\pi\) |
−0.248435 | + | 0.968649i | \(0.579916\pi\) | |||||||
\(702\) | 8.94385 | + | 17.1825i | 0.337564 | + | 0.648513i | ||||
\(703\) | 6.98246 | − | 12.0940i | 0.263348 | − | 0.456133i | ||||
\(704\) | 43.9595 | + | 0.00977661i | 1.65678 | + | 0.000368470i | ||||
\(705\) | 4.69591 | − | 2.71118i | 0.176858 | − | 0.102109i | ||||
\(706\) | −9.84549 | − | 0.430229i | −0.370540 | − | 0.0161919i | ||||
\(707\) | 7.62437 | + | 50.8975i | 0.286744 | + | 1.91420i | ||||
\(708\) | −14.8046 | − | 1.29634i | −0.556391 | − | 0.0487194i | ||||
\(709\) | 33.7317 | + | 9.03837i | 1.26682 | + | 0.339443i | 0.828812 | − | 0.559528i | \(-0.189018\pi\) |
0.438008 | + | 0.898971i | \(0.355684\pi\) | |||||||
\(710\) | −2.85884 | − | 12.8977i | −0.107290 | − | 0.484040i | ||||
\(711\) | −3.48527 | + | 6.03666i | −0.130708 | + | 0.226392i | ||||
\(712\) | 19.9309 | − | 8.25305i | 0.746942 | − | 0.309296i | ||||
\(713\) | −3.89011 | −0.145686 | ||||||||
\(714\) | 2.81505 | + | 26.7056i | 0.105351 | + | 0.999434i | ||||
\(715\) | −14.6884 | − | 14.6884i | −0.549315 | − | 0.549315i | ||||
\(716\) | 12.8016 | + | 4.66047i | 0.478418 | + | 0.174170i | ||||
\(717\) | 2.07371 | + | 7.73920i | 0.0774442 | + | 0.289026i | ||||
\(718\) | −44.4133 | − | 28.2967i | −1.65749 | − | 1.05602i | ||||
\(719\) | −25.7551 | − | 44.6092i | −0.960505 | − | 1.66364i | −0.721236 | − | 0.692689i | \(-0.756426\pi\) |
−0.239268 | − | 0.970953i | \(-0.576908\pi\) | |||||||
\(720\) | −8.58514 | + | 6.00949i | −0.319949 | + | 0.223960i | ||||
\(721\) | 7.49820 | + | 17.2287i | 0.279248 | + | 0.641629i | ||||
\(722\) | −10.9034 | − | 0.476456i | −0.405781 | − | 0.0177319i | ||||
\(723\) | 10.9375 | + | 2.93070i | 0.406771 | + | 0.108994i | ||||
\(724\) | 17.6048 | − | 3.10286i | 0.654279 | − | 0.115317i | ||||
\(725\) | −2.44555 | − | 9.12690i | −0.0908253 | − | 0.338965i | ||||
\(726\) | 8.91073 | − | 28.2576i | 0.330708 | − | 1.04874i | ||||
\(727\) | 10.3415i | 0.383546i | 0.981439 | + | 0.191773i | \(0.0614237\pi\) | ||||
−0.981439 | + | 0.191773i | \(0.938576\pi\) | |||||||
\(728\) | −16.7373 | + | 10.0620i | −0.620325 | + | 0.372922i | ||||
\(729\) | − | 17.7358i | − | 0.656881i | ||||||
\(730\) | 29.0717 | + | 9.16747i | 1.07599 | + | 0.339303i | ||||
\(731\) | 8.20293 | + | 30.6138i | 0.303396 | + | 1.13229i | ||||
\(732\) | −6.33089 | + | 9.04003i | −0.233997 | + | 0.334129i | ||||
\(733\) | 19.4498 | + | 5.21156i | 0.718395 | + | 0.192493i | 0.599455 | − | 0.800408i | \(-0.295384\pi\) |
0.118940 | + | 0.992901i | \(0.462051\pi\) | |||||||
\(734\) | −1.61006 | + | 36.8450i | −0.0594283 | + | 1.35998i | ||||
\(735\) | −2.48245 | + | 10.7861i | −0.0915666 | + | 0.397852i | ||||
\(736\) | 0.627823 | − | 2.82945i | 0.0231419 | − | 0.104295i | ||||
\(737\) | −17.6300 | − | 30.5361i | −0.649411 | − | 1.12481i | ||||
\(738\) | 0.622834 | − | 0.977573i | 0.0229268 | − | 0.0359850i | ||||
\(739\) | −7.90938 | − | 29.5182i | −0.290951 | − | 1.08584i | −0.944380 | − | 0.328856i | \(-0.893337\pi\) |
0.653429 | − | 0.756988i | \(-0.273330\pi\) | |||||||
\(740\) | −5.08957 | − | 10.9167i | −0.187096 | − | 0.401307i | ||||
\(741\) | −6.76569 | − | 6.76569i | −0.248544 | − | 0.248544i | ||||
\(742\) | 4.29951 | − | 3.12577i | 0.157840 | − | 0.114751i | ||||
\(743\) | −36.5659 | −1.34147 | −0.670735 | − | 0.741697i | \(-0.734021\pi\) | ||||
−0.670735 | + | 0.741697i | \(0.734021\pi\) | |||||||
\(744\) | −21.6557 | − | 8.97291i | −0.793937 | − | 0.328963i | ||||
\(745\) | 6.89526 | − | 11.9429i | 0.252623 | − | 0.437556i | ||||
\(746\) | 50.5016 | − | 11.1940i | 1.84899 | − | 0.409840i | ||||
\(747\) | 6.02943 | + | 1.61558i | 0.220605 | + | 0.0591110i | ||||
\(748\) | −55.3577 | + | 46.4437i | −2.02408 | + | 1.69815i | ||||
\(749\) | 29.5232 | + | 11.6179i | 1.07875 | + | 0.424509i | ||||
\(750\) | −0.771356 | + | 17.6519i | −0.0281659 | + | 0.644557i | ||||
\(751\) | −30.5955 | + | 17.6643i | −1.11644 | + | 0.644580i | −0.940491 | − | 0.339819i | \(-0.889634\pi\) |
−0.175954 | + | 0.984398i | \(0.556301\pi\) | |||||||
\(752\) | 8.81897 | − | 10.5069i | 0.321595 | − | 0.383146i | ||||
\(753\) | −0.310057 | + | 0.537034i | −0.0112991 | + | 0.0195706i | ||||
\(754\) | 10.6605 | − | 5.54898i | 0.388231 | − | 0.202082i | ||||
\(755\) | 7.27401 | + | 7.27401i | 0.264728 | + | 0.264728i | ||||
\(756\) | 27.7211 | − | 1.70289i | 1.00821 | − | 0.0619335i | ||||
\(757\) | −1.06021 | + | 1.06021i | −0.0385339 | + | 0.0385339i | −0.726111 | − | 0.687577i | \(-0.758674\pi\) |
0.687577 | + | 0.726111i | \(0.258674\pi\) | |||||||
\(758\) | 0.497976 | + | 0.157031i | 0.0180873 | + | 0.00570364i | ||||
\(759\) | −2.66127 | − | 1.53649i | −0.0965981 | − | 0.0557709i | ||||
\(760\) | 8.37925 | − | 10.9175i | 0.303947 | − | 0.396021i | ||||
\(761\) | 15.2003 | + | 26.3277i | 0.551010 | + | 0.954378i | 0.998202 | + | 0.0599396i | \(0.0190908\pi\) |
−0.447192 | + | 0.894438i | \(0.647576\pi\) | |||||||
\(762\) | 14.3239 | + | 15.6330i | 0.518901 | + | 0.566323i | ||||
\(763\) | −4.06755 | − | 27.1535i | −0.147255 | − | 0.983023i | ||||
\(764\) | −2.32419 | + | 26.5429i | −0.0840862 | + | 0.960289i | ||||
\(765\) | 4.45840 | − | 16.6390i | 0.161194 | − | 0.601584i | ||||
\(766\) | −20.9165 | − | 13.3263i | −0.755743 | − | 0.481500i | ||||
\(767\) | 15.3853 | + | 8.88274i | 0.555533 | + | 0.320737i | ||||
\(768\) | 10.0214 | − | 14.3030i | 0.361616 | − | 0.516116i | ||||
\(769\) | − | 38.0523i | − | 1.37220i | −0.727507 | − | 0.686101i | \(-0.759321\pi\) | ||
0.727507 | − | 0.686101i | \(-0.240679\pi\) | |||||||
\(770\) | −27.8016 | + | 10.6817i | −1.00190 | + | 0.384941i | ||||
\(771\) | −7.06039 | + | 7.06039i | −0.254274 | + | 0.254274i | ||||
\(772\) | −8.88663 | − | 19.0611i | −0.319837 | − | 0.686025i | ||||
\(773\) | −15.0282 | + | 4.02680i | −0.540528 | + | 0.144834i | −0.518746 | − | 0.854929i | \(-0.673601\pi\) |
−0.0217825 | + | 0.999763i | \(0.506934\pi\) | |||||||
\(774\) | 12.0366 | − | 2.66798i | 0.432647 | − | 0.0958987i | ||||
\(775\) | 19.0796 | − | 11.0156i | 0.685361 | − | 0.395693i | ||||
\(776\) | −31.4495 | − | 4.14397i | −1.12897 | − | 0.148760i | ||||
\(777\) | −1.35511 | + | 11.9297i | −0.0486142 | + | 0.427975i | ||||
\(778\) | −21.2852 | − | 23.2305i | −0.763112 | − | 0.832853i | ||||
\(779\) | −0.393989 | + | 1.47039i | −0.0141161 | + | 0.0526820i | ||||
\(780\) | −8.12732 | + | 1.43245i | −0.291005 | + | 0.0512898i | ||||
\(781\) | −34.2275 | + | 9.17123i | −1.22476 | + | 0.328172i | ||||
\(782\) | 2.19967 | + | 4.22591i | 0.0786600 | + | 0.151118i | ||||
\(783\) | −17.0918 | −0.610812 | ||||||||
\(784\) | 3.42711 | + | 27.7895i | 0.122397 | + | 0.992481i | ||||
\(785\) | −12.7134 | −0.453760 | ||||||||
\(786\) | −2.07680 | − | 3.98986i | −0.0740771 | − | 0.142314i | ||||
\(787\) | 16.1418 | − | 4.32518i | 0.575393 | − | 0.154176i | 0.0406241 | − | 0.999175i | \(-0.487065\pi\) |
0.534769 | + | 0.844998i | \(0.320399\pi\) | |||||||
\(788\) | −6.90472 | − | 39.1756i | −0.245970 | − | 1.39557i | ||||
\(789\) | 1.29454 | − | 4.83129i | 0.0460868 | − | 0.171998i | ||||
\(790\) | −5.33399 | − | 5.82146i | −0.189775 | − | 0.207118i | ||||
\(791\) | 4.01937 | − | 35.3845i | 0.142912 | − | 1.25813i | ||||
\(792\) | 17.1091 | + | 22.3022i | 0.607946 | + | 0.792474i | ||||
\(793\) | 11.4256 | − | 6.59659i | 0.405736 | − | 0.234252i | ||||
\(794\) | 32.6761 | − | 7.24285i | 1.15963 | − | 0.257039i | ||||
\(795\) | 2.16976 | − | 0.581386i | 0.0769535 | − | 0.0206196i | ||||
\(796\) | −43.8511 | + | 20.4442i | −1.55426 | + | 0.724624i | ||||
\(797\) | 6.46029 | − | 6.46029i | 0.228835 | − | 0.228835i | −0.583371 | − | 0.812206i | \(-0.698267\pi\) |
0.812206 | + | 0.583371i | \(0.198267\pi\) | |||||||
\(798\) | −12.8058 | + | 4.92014i | −0.453321 | + | 0.174171i | ||||
\(799\) | 22.5486i | 0.797710i | ||||||||
\(800\) | 4.93290 | + | 15.6553i | 0.174404 | + | 0.553498i | ||||
\(801\) | 11.9457 | + | 6.89688i | 0.422082 | + | 0.243689i | ||||
\(802\) | 9.23706 | + | 5.88514i | 0.326172 | + | 0.207811i | ||||
\(803\) | 21.1621 | − | 78.9780i | 0.746794 | − | 2.78707i | ||||
\(804\) | −13.9549 | − | 1.22193i | −0.492150 | − | 0.0430943i | ||||
\(805\) | 0.290899 | + | 1.94194i | 0.0102528 | + | 0.0684442i | ||||
\(806\) | 18.9306 | + | 20.6607i | 0.666802 | + | 0.727741i | ||||
\(807\) | 5.21101 | + | 9.02573i | 0.183436 | + | 0.317721i | ||||
\(808\) | 7.17534 | + | 54.5490i | 0.252427 | + | 1.91903i | ||||
\(809\) | 24.9554 | + | 14.4080i | 0.877386 | + | 0.506559i | 0.869796 | − | 0.493412i | \(-0.164250\pi\) |
0.00759061 | + | 0.999971i | \(0.497584\pi\) | |||||||
\(810\) | 0.592647 | + | 0.186885i | 0.0208235 | + | 0.00656647i | ||||
\(811\) | 32.3761 | − | 32.3761i | 1.13688 | − | 1.13688i | 0.147873 | − | 0.989006i | \(-0.452757\pi\) |
0.989006 | − | 0.147873i | \(-0.0472427\pi\) | |||||||
\(812\) | −1.05651 | − | 17.1989i | −0.0370764 | − | 0.603561i | ||||
\(813\) | 5.62163 | + | 5.62163i | 0.197159 | + | 0.197159i | ||||
\(814\) | −28.6579 | + | 14.9170i | −1.00446 | + | 0.522841i | ||||
\(815\) | −9.19808 | + | 15.9315i | −0.322195 | + | 0.558058i | ||||
\(816\) | 2.49780 | + | 28.5988i | 0.0874405 | + | 1.00116i | ||||
\(817\) | −14.0219 | + | 8.09555i | −0.490564 | + | 0.283227i | ||||
\(818\) | −1.97136 | + | 45.1132i | −0.0689270 | + | 1.57735i | ||||
\(819\) | −11.6200 | − | 4.57268i | −0.406036 | − | 0.159782i | ||||
\(820\) | 0.843878 | + | 1.00585i | 0.0294695 | + | 0.0351257i | ||||
\(821\) | −26.1279 | − | 7.00094i | −0.911869 | − | 0.244334i | −0.227762 | − | 0.973717i | \(-0.573141\pi\) |
−0.684106 | + | 0.729382i | \(0.739808\pi\) | |||||||
\(822\) | −10.8884 | + | 2.41349i | −0.379778 | + | 0.0841800i | ||||
\(823\) | −12.1699 | + | 21.0790i | −0.424218 | + | 0.734767i | −0.996347 | − | 0.0853968i | \(-0.972784\pi\) |
0.572129 | + | 0.820163i | \(0.306118\pi\) | |||||||
\(824\) | 7.68488 | + | 18.5588i | 0.267716 | + | 0.646526i | ||||
\(825\) | 17.4035 | 0.605913 | ||||||||
\(826\) | 20.6024 | − | 14.9780i | 0.716849 | − | 0.521153i | ||||
\(827\) | −31.7583 | − | 31.7583i | −1.10435 | − | 1.10435i | −0.993880 | − | 0.110466i | \(-0.964766\pi\) |
−0.110466 | − | 0.993880i | \(-0.535234\pi\) | |||||||
\(828\) | 1.67965 | − | 0.783084i | 0.0583720 | − | 0.0272141i | ||||
\(829\) | 10.6352 | + | 39.6910i | 0.369375 | + | 1.37853i | 0.861392 | + | 0.507941i | \(0.169593\pi\) |
−0.492017 | + | 0.870586i | \(0.663740\pi\) | |||||||
\(830\) | −3.79922 | + | 5.96310i | −0.131873 | + | 0.206982i | ||||
\(831\) | 17.6694 | + | 30.6042i | 0.612944 | + | 1.06165i | ||||
\(832\) | −18.0826 | + | 10.4346i | −0.626902 | + | 0.361756i | ||||
\(833\) | −33.6826 | − | 31.3668i | −1.16703 | − | 1.08679i | ||||
\(834\) | −0.0675688 | + | 1.54626i | −0.00233971 | + | 0.0535427i | ||||
\(835\) | 30.1223 | + | 8.07125i | 1.04243 | + | 0.279317i | ||||
\(836\) | −30.2373 | − | 21.1757i | −1.04578 | − | 0.732377i | ||||
\(837\) | −10.3144 | − | 38.4939i | −0.356518 | − | 1.33054i | ||||
\(838\) | 13.2842 | + | 4.18902i | 0.458894 | + | 0.144707i | ||||
\(839\) | 12.4384i | 0.429423i | 0.976678 | + | 0.214711i | \(0.0688811\pi\) | ||||
−0.976678 | + | 0.214711i | \(0.931119\pi\) | |||||||
\(840\) | −2.85987 | + | 11.4815i | −0.0986748 | + | 0.396149i | ||||
\(841\) | − | 18.3958i | − | 0.634339i | ||||||
\(842\) | −3.80098 | + | 12.0536i | −0.130990 | + | 0.415395i | ||||
\(843\) | 1.15794 | + | 4.32149i | 0.0398816 | + | 0.148840i | ||||
\(844\) | −4.32668 | − | 24.5484i | −0.148930 | − | 0.844992i | ||||
\(845\) | −8.66065 | − | 2.32061i | −0.297935 | − | 0.0798316i | ||||
\(846\) | 8.76296 | + | 0.382924i | 0.301277 | + | 0.0131652i | ||||
\(847\) | 20.2656 | + | 46.5645i | 0.696335 | + | 1.59997i | ||||
\(848\) | 4.65546 | − | 3.25876i | 0.159869 | − | 0.111906i | ||||
\(849\) | −7.45561 | − | 12.9135i | −0.255876 | − | 0.443190i | ||||
\(850\) | −22.7552 | − | 14.4978i | −0.780496 | − | 0.497271i | ||||
\(851\) | 0.551301 | + | 2.05748i | 0.0188984 | + | 0.0705297i | ||||
\(852\) | −4.81585 | + | 13.2284i | −0.164988 | + | 0.453197i | ||||
\(853\) | 11.8456 | + | 11.8456i | 0.405585 | + | 0.405585i | 0.880196 | − | 0.474611i | \(-0.157411\pi\) |
−0.474611 | + | 0.880196i | \(0.657411\pi\) | |||||||
\(854\) | −1.98295 | − | 18.8117i | −0.0678552 | − | 0.643724i | ||||
\(855\) | 8.80008 | 0.300956 | ||||||||
\(856\) | 31.3342 | + | 12.9831i | 1.07098 | + | 0.443754i | ||||
\(857\) | −7.54656 | + | 13.0710i | −0.257786 | + | 0.446498i | −0.965648 | − | 0.259852i | \(-0.916326\pi\) |
0.707863 | + | 0.706350i | \(0.249660\pi\) | |||||||
\(858\) | 4.79027 | + | 21.6113i | 0.163537 | + | 0.737798i | ||||
\(859\) | 44.0551 | + | 11.8045i | 1.50314 | + | 0.402765i | 0.914150 | − | 0.405375i | \(-0.132859\pi\) |
0.588990 | + | 0.808141i | \(0.299526\pi\) | |||||||
\(860\) | −1.21816 | + | 13.9117i | −0.0415388 | + | 0.474386i | ||||
\(861\) | −0.193888 | − | 1.29432i | −0.00660767 | − | 0.0441104i | ||||
\(862\) | 9.16164 | + | 0.400346i | 0.312047 | + | 0.0136358i | ||||
\(863\) | 23.4497 | − | 13.5387i | 0.798237 | − | 0.460862i | −0.0446175 | − | 0.999004i | \(-0.514207\pi\) |
0.842854 | + | 0.538142i | \(0.180874\pi\) | |||||||
\(864\) | 29.6630 | − | 1.28961i | 1.00916 | − | 0.0438733i | ||||
\(865\) | −14.5080 | + | 25.1285i | −0.493286 | + | 0.854396i | ||||
\(866\) | −11.2126 | − | 21.5411i | −0.381019 | − | 0.731996i | ||||
\(867\) | −20.2469 | − | 20.2469i | −0.687619 | − | 0.687619i | ||||
\(868\) | 38.0974 | − | 12.7585i | 1.29311 | − | 0.433051i | ||||
\(869\) | −14.9754 | + | 14.9754i | −0.508004 | + | 0.508004i | ||||
\(870\) | 2.18989 | − | 6.94453i | 0.0742441 | − | 0.235442i | ||||
\(871\) | 14.5023 | + | 8.37290i | 0.491391 | + | 0.283705i | ||||
\(872\) | −3.82800 | − | 29.1015i | −0.129632 | − | 0.985502i | ||||
\(873\) | −10.1418 | − | 17.5660i | −0.343246 | − | 0.594520i | ||||
\(874\) | −1.79445 | + | 1.64419i | −0.0606983 | + | 0.0556156i | ||||
\(875\) | −18.8600 | − | 23.6938i | −0.637585 | − | 0.800995i | ||||
\(876\) | −20.8782 | − | 24.8854i | −0.705408 | − | 0.840799i | ||||
\(877\) | 2.35909 | − | 8.80425i | 0.0796609 | − | 0.297298i | −0.914589 | − | 0.404385i | \(-0.867486\pi\) |
0.994250 | + | 0.107087i | \(0.0341522\pi\) | |||||||
\(878\) | −23.7838 | + | 37.3300i | −0.802664 | + | 1.25983i | ||||
\(879\) | −22.3173 | − | 12.8849i | −0.752745 | − | 0.434598i | ||||
\(880\) | −29.9208 | + | 10.8853i | −1.00863 | + | 0.366942i | ||||
\(881\) | 0.723819i | 0.0243861i | 0.999926 | + | 0.0121930i | \(0.00388126\pi\) | ||||
−0.999926 | + | 0.0121930i | \(0.996119\pi\) | |||||||
\(882\) | −12.7619 | + | 12.5573i | −0.429717 | + | 0.422825i | ||||
\(883\) | −21.2381 | + | 21.2381i | −0.714718 | + | 0.714718i | −0.967518 | − | 0.252800i | \(-0.918648\pi\) |
0.252800 | + | 0.967518i | \(0.418648\pi\) | |||||||
\(884\) | 11.7398 | − | 32.2474i | 0.394852 | − | 1.08460i | ||||
\(885\) | 10.3971 | − | 2.78588i | 0.349493 | − | 0.0936464i | ||||
\(886\) | 3.70997 | + | 16.7375i | 0.124639 | + | 0.562308i | ||||
\(887\) | 17.5247 | − | 10.1179i | 0.588422 | − | 0.339726i | −0.176051 | − | 0.984381i | \(-0.556332\pi\) |
0.764473 | + | 0.644655i | \(0.222999\pi\) | |||||||
\(888\) | −1.67677 | + | 12.7254i | −0.0562686 | + | 0.427036i | ||||
\(889\) | −36.1088 | − | 4.10164i | −1.21105 | − | 0.137565i | ||||
\(890\) | −11.5199 | + | 10.5553i | −0.386148 | + | 0.353813i | ||||
\(891\) | 0.431403 | − | 1.61002i | 0.0144526 | − | 0.0539377i | ||||
\(892\) | 6.25152 | − | 8.92669i | 0.209316 | − | 0.298888i | ||||
\(893\) | −11.1267 | + | 2.98139i | −0.372340 | + | 0.0997683i | ||||
\(894\) | −13.0354 | + | 6.78519i | −0.435970 | + | 0.226931i | ||||
\(895\) | −9.86738 | −0.329830 | ||||||||
\(896\) | 3.13127 | + | 29.7690i | 0.104608 | + | 0.994513i | ||||
\(897\) | 1.45942 | 0.0487288 | ||||||||
\(898\) | −42.0200 | + | 21.8722i | −1.40222 | + | 0.729886i | ||||
\(899\) | −23.8825 | + | 6.39931i | −0.796528 | + | 0.213429i | ||||
\(900\) | −6.02067 | + | 8.59705i | −0.200689 | + | 0.286568i | ||||
\(901\) | −2.41766 | + | 9.02281i | −0.0805438 | + | 0.300594i | ||||
\(902\) | 2.59658 | − | 2.37915i | 0.0864567 | − | 0.0792171i | ||||
\(903\) | 8.27634 | − | 11.1928i | 0.275419 | − | 0.372473i | ||||
\(904\) | 4.97344 | − | 37.7446i | 0.165414 | − | 1.25537i | ||||
\(905\) | −11.2129 | + | 6.47376i | −0.372729 | + | 0.215195i | ||||
\(906\) | −2.37225 | − | 10.7024i | −0.0788126 | − | 0.355563i | ||||
\(907\) | −12.9321 | + | 3.46515i | −0.429404 | + | 0.115058i | −0.467046 | − | 0.884233i | \(-0.654682\pi\) |
0.0376423 | + | 0.999291i | \(0.488015\pi\) | |||||||
\(908\) | 1.02963 | − | 2.82825i | 0.0341696 | − | 0.0938586i | ||||
\(909\) | −24.8764 | + | 24.8764i | −0.825099 | + | 0.825099i | ||||
\(910\) | 8.89816 | − | 10.9951i | 0.294971 | − | 0.364485i | ||||
\(911\) | 34.5549i | 1.14485i | 0.819955 | + | 0.572427i | \(0.193998\pi\) | ||||
−0.819955 | + | 0.572427i | \(0.806002\pi\) | |||||||
\(912\) | −13.7820 | + | 5.01391i | −0.456366 | + | 0.166027i | ||||
\(913\) | 16.4244 | + | 9.48262i | 0.543568 | + | 0.313829i | ||||
\(914\) | −2.28935 | + | 3.59327i | −0.0757251 | + | 0.118855i | ||||
\(915\) | 2.06888 | − | 7.72117i | 0.0683951 | − | 0.255254i | ||||
\(916\) | −6.35996 | − | 7.58065i | −0.210139 | − | 0.250472i | ||||
\(917\) | 7.17393 | + | 2.82307i | 0.236904 | + | 0.0932260i | ||||
\(918\) | −35.9845 | + | 32.9713i | −1.18767 | + | 1.08821i | ||||
\(919\) | −26.7589 | − | 46.3478i | −0.882695 | − | 1.52887i | −0.848333 | − | 0.529464i | \(-0.822393\pi\) |
−0.0343626 | − | 0.999409i | \(-0.510940\pi\) | |||||||
\(920\) | 0.273766 | + | 2.08125i | 0.00902581 | + | 0.0686168i | ||||
\(921\) | −22.4040 | − | 12.9350i | −0.738238 | − | 0.426222i | ||||
\(922\) | −12.4364 | + | 39.4383i | −0.409572 | + | 1.29883i | ||||
\(923\) | 11.8998 | − | 11.8998i | 0.391686 | − | 0.391686i | ||||
\(924\) | 31.1022 | + | 6.31921i | 1.02319 | + | 0.207887i | ||||
\(925\) | −8.53014 | − | 8.53014i | −0.280469 | − | 0.280469i | ||||
\(926\) | 7.62497 | + | 14.6487i | 0.250572 | + | 0.481388i | ||||
\(927\) | −6.42208 | + | 11.1234i | −0.210929 | + | 0.365339i | ||||
\(928\) | −0.800102 | − | 18.4036i | −0.0262646 | − | 0.604129i | ||||
\(929\) | −0.0427340 | + | 0.0246725i | −0.00140206 | + | 0.000809477i | −0.500701 | − | 0.865620i | \(-0.666924\pi\) |
0.499299 | + | 0.866430i | \(0.333591\pi\) | |||||||
\(930\) | 16.9619 | + | 0.741202i | 0.556203 | + | 0.0243050i | ||||
\(931\) | 11.0245 | − | 20.7682i | 0.361314 | − | 0.680649i | ||||
\(932\) | 2.16863 | − | 24.7664i | 0.0710357 | − | 0.811250i | ||||
\(933\) | 22.6508 | + | 6.06927i | 0.741554 | + | 0.198699i | ||||
\(934\) | 3.10734 | + | 14.0188i | 0.101675 | + | 0.458708i | ||||
\(935\) | 26.1685 | − | 45.3252i | 0.855802 | − | 1.48229i | ||||
\(936\) | −12.3328 | − | 5.11002i | −0.403110 | − | 0.167026i | ||||
\(937\) | 0.977039 | 0.0319185 | 0.0159592 | − | 0.999873i | \(-0.494920\pi\) | ||||
0.0159592 | + | 0.999873i | \(0.494920\pi\) | |||||||
\(938\) | 19.4199 | − | 14.1184i | 0.634082 | − | 0.460981i | ||||
\(939\) | 16.0925 | + | 16.0925i | 0.525157 | + | 0.525157i | ||||
\(940\) | −3.39880 | + | 9.33597i | −0.110857 | + | 0.304506i | ||||
\(941\) | −10.0841 | − | 37.6344i | −0.328733 | − | 1.22685i | −0.910506 | − | 0.413496i | \(-0.864307\pi\) |
0.581773 | − | 0.813351i | \(-0.302359\pi\) | |||||||
\(942\) | 11.4258 | + | 7.27964i | 0.372273 | + | 0.237183i | ||||
\(943\) | −0.116095 | − | 0.201082i | −0.00378056 | − | 0.00654812i | ||||
\(944\) | 22.3080 | − | 15.6153i | 0.726064 | − | 0.508235i | ||||
\(945\) | −18.4448 | + | 8.02748i | −0.600010 | + | 0.261134i | ||||
\(946\) | 37.4223 | + | 1.63528i | 1.21671 | + | 0.0531677i | ||||
\(947\) | 22.1427 | + | 5.93312i | 0.719541 | + | 0.192801i | 0.599967 | − | 0.800025i | \(-0.295180\pi\) |
0.119574 | + | 0.992825i | \(0.461847\pi\) | |||||||
\(948\) | 1.46043 | + | 8.28611i | 0.0474326 | + | 0.269120i | ||||
\(949\) | 10.0504 | + | 37.5084i | 0.326248 | + | 1.21757i | ||||
\(950\) | 4.14531 | − | 13.1456i | 0.134492 | − | 0.426498i | ||||
\(951\) | − | 16.2702i | − | 0.527599i | ||||||
\(952\) | −35.4021 | − | 34.1718i | −1.14739 | − | 1.10751i | ||||
\(953\) | − | 34.2308i | − | 1.10884i | −0.832235 | − | 0.554422i | \(-0.812939\pi\) | ||
0.832235 | − | 0.554422i | \(-0.187061\pi\) | |||||||
\(954\) | 3.46544 | + | 1.09279i | 0.112198 | + | 0.0353804i | ||||
\(955\) | −4.99477 | − | 18.6407i | −0.161627 | − | 0.603200i | ||||
\(956\) | −12.0252 | − | 8.42143i | −0.388921 | − | 0.272369i | ||||
\(957\) | −18.8659 | − | 5.05511i | −0.609849 | − | 0.163408i | ||||
\(958\) | 0.706685 | − | 16.1720i | 0.0228320 | − | 0.522493i | ||||
\(959\) | 11.3650 | − | 15.3698i | 0.366995 | − | 0.496318i | ||||
\(960\) | −3.27659 | + | 12.2175i | −0.105751 | + | 0.394319i | ||||
\(961\) | −13.3248 | − | 23.0793i | −0.429834 | − | 0.744494i | ||||
\(962\) | 8.24465 | − | 12.9404i | 0.265818 | − | 0.417217i | ||||
\(963\) | 5.61320 | + | 20.9487i | 0.180883 | + | 0.675064i | ||||
\(964\) | −18.8045 | + | 8.76699i | −0.605653 | + | 0.282366i | ||||
\(965\) | 10.7710 | + | 10.7710i | 0.346729 | + | 0.346729i | ||||
\(966\) | 0.850508 | − | 1.91183i | 0.0273646 | − | 0.0615121i | ||||
\(967\) | 21.2761 | 0.684193 | 0.342096 | − | 0.939665i | \(-0.388863\pi\) | ||||
0.342096 | + | 0.939665i | \(0.388863\pi\) | |||||||
\(968\) | 20.7702 | + | 50.1594i | 0.667579 | + | 1.61218i | ||||
\(969\) | 12.0536 | − | 20.8775i | 0.387218 | − | 0.670680i | ||||
\(970\) | 22.4310 | − | 4.97196i | 0.720216 | − | 0.159640i | ||||
\(971\) | 28.9091 | + | 7.74616i | 0.927736 | + | 0.248586i | 0.690889 | − | 0.722961i | \(-0.257219\pi\) |
0.236847 | + | 0.971547i | \(0.423886\pi\) | |||||||
\(972\) | 19.8153 | + | 23.6185i | 0.635576 | + | 0.757564i | ||||
\(973\) | −1.65209 | − | 2.07551i | −0.0529635 | − | 0.0665379i | ||||
\(974\) | −0.598918 | + | 13.7058i | −0.0191906 | + | 0.439163i | ||||
\(975\) | −7.15798 | + | 4.13266i | −0.229239 | + | 0.132351i | ||||
\(976\) | −1.75948 | − | 20.1453i | −0.0563195 | − | 0.644836i | ||||
\(977\) | 1.50722 | − | 2.61058i | 0.0482201 | − | 0.0835197i | −0.840908 | − | 0.541178i | \(-0.817978\pi\) |
0.889128 | + | 0.457659i | \(0.151312\pi\) | |||||||
\(978\) | 17.3889 | − | 9.05125i | 0.556035 | − | 0.289427i | ||||
\(979\) | 29.6342 | + | 29.6342i | 0.947115 | + | 0.947115i | ||||
\(980\) | −9.21791 | − | 18.0641i | −0.294455 | − | 0.577037i | ||||
\(981\) | 13.2714 | − | 13.2714i | 0.423724 | − | 0.423724i | ||||
\(982\) | 21.8716 | + | 6.89699i | 0.697952 | + | 0.220092i | ||||
\(983\) | 35.2886 | + | 20.3739i | 1.12553 | + | 0.649826i | 0.942807 | − | 0.333339i | \(-0.108175\pi\) |
0.182724 | + | 0.983164i | \(0.441509\pi\) | |||||||
\(984\) | −0.182469 | − | 1.38718i | −0.00581689 | − | 0.0442216i | ||||
\(985\) | 14.4059 | + | 24.9517i | 0.459010 | + | 0.795029i | ||||
\(986\) | 20.4562 | + | 22.3256i | 0.651457 | + | 0.710993i | ||||
\(987\) | 7.74860 | − | 6.16781i | 0.246641 | − | 0.196324i | ||||
\(988\) | 17.4649 | + | 1.52928i | 0.555631 | + | 0.0486529i | ||||
\(989\) | 0.639186 | − | 2.38547i | 0.0203249 | − | 0.0758536i | ||||
\(990\) | −17.1702 | − | 10.9395i | −0.545704 | − | 0.347680i | ||||
\(991\) | 21.1944 | + | 12.2366i | 0.673262 | + | 0.388708i | 0.797312 | − | 0.603568i | \(-0.206255\pi\) |
−0.124049 | + | 0.992276i | \(0.539588\pi\) | |||||||
\(992\) | 40.9655 | − | 12.9080i | 1.30066 | − | 0.409830i | ||||
\(993\) | − | 3.26581i | − | 0.103637i | ||||||
\(994\) | −8.65375 | − | 22.5234i | −0.274480 | − | 0.714399i | ||||
\(995\) | 24.7792 | − | 24.7792i | 0.785552 | − | 0.785552i | ||||
\(996\) | 6.82889 | − | 3.18375i | 0.216382 | − | 0.100881i | ||||
\(997\) | −41.6146 | + | 11.1506i | −1.31795 | + | 0.353143i | −0.848209 | − | 0.529662i | \(-0.822319\pi\) |
−0.469740 | + | 0.882805i | \(0.655652\pi\) | |||||||
\(998\) | 26.3494 | − | 5.84049i | 0.834075 | − | 0.184878i | ||||
\(999\) | −18.8978 | + | 10.9106i | −0.597899 | + | 0.345197i |
(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 | 112.2.v.a.3.3 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.10 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.12 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.13 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.14 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.12 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.3 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.5 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.10 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.10 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.10 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.12 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.5 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.10 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.10 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.5 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.10 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.13 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.10 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.12 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.14 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.5 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.3 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.3 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.3 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.12 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.12 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.3 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.10 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.10 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.10 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.10 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.13 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.195.14 | 56 | 7.4 | even | 3 | |||
784.2.j.a.587.13 | 56 | 112.11 | odd | 12 | |||
784.2.j.a.587.14 | 56 | 112.59 | even | 12 | |||
784.2.w.f.19.12 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.3 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.3 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.12 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.5 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.5 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.5 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.5 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.10 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.10 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.10 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.10 | 56 | 56.5 | odd | 6 |