Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(37,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([0, 32]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bb (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(72\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 46.2 | ||
Character | \(\chi\) | \(=\) | 441.46 |
Dual form | 441.2.bb.f.163.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{11}{21}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.576178 | + | 1.46808i | −0.407419 | + | 1.03809i | 0.569026 | + | 0.822320i | \(0.307320\pi\) |
−0.976445 | + | 0.215767i | \(0.930775\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.357164 | − | 0.331400i | −0.178582 | − | 0.165700i | ||||
\(5\) | −0.810468 | − | 0.552568i | −0.362452 | − | 0.247116i | 0.368376 | − | 0.929677i | \(-0.379914\pi\) |
−0.730829 | + | 0.682561i | \(0.760866\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.54377 | − | 2.14867i | −0.583489 | − | 0.812121i | ||||
\(8\) | −2.14952 | + | 1.03515i | −0.759969 | + | 0.365982i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.27819 | − | 0.871452i | 0.404198 | − | 0.275577i | ||||
\(11\) | −1.80258 | + | 0.271695i | −0.543498 | + | 0.0819191i | −0.415052 | − | 0.909798i | \(-0.636237\pi\) |
−0.128445 | + | 0.991717i | \(0.540999\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −1.72771 | − | 2.16648i | −0.479180 | − | 0.600873i | 0.482212 | − | 0.876054i | \(-0.339833\pi\) |
−0.961392 | + | 0.275182i | \(0.911262\pi\) | |||||||
\(14\) | 4.04390 | − | 1.02835i | 1.08078 | − | 0.274838i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.354001 | − | 4.72382i | −0.0885003 | − | 1.18095i | ||||
\(17\) | −4.65252 | − | 1.43511i | −1.12840 | − | 0.348066i | −0.326308 | − | 0.945263i | \(-0.605805\pi\) |
−0.802094 | + | 0.597197i | \(0.796281\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.644188 | + | 1.11577i | 0.147787 | + | 0.255974i | 0.930409 | − | 0.366523i | \(-0.119452\pi\) |
−0.782622 | + | 0.622497i | \(0.786118\pi\) | |||||||
\(20\) | 0.106349 | + | 0.465946i | 0.0237804 | + | 0.104189i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.639736 | − | 2.80287i | 0.136392 | − | 0.597573i | ||||
\(23\) | −3.68254 | + | 1.13591i | −0.767863 | + | 0.236854i | −0.653849 | − | 0.756625i | \(-0.726847\pi\) |
−0.114014 | + | 0.993479i | \(0.536371\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.47518 | − | 3.75869i | −0.295036 | − | 0.751738i | ||||
\(26\) | 4.17602 | − | 1.28813i | 0.818985 | − | 0.252623i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.160692 | + | 1.27903i | −0.0303678 | + | 0.241714i | ||||
\(29\) | 0.492320 | + | 2.15699i | 0.0914215 | + | 0.400544i | 0.999847 | − | 0.0175034i | \(-0.00557179\pi\) |
−0.908425 | + | 0.418047i | \(0.862715\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.292528 | − | 0.506674i | 0.0525397 | − | 0.0910014i | −0.838559 | − | 0.544810i | \(-0.816602\pi\) |
0.891099 | + | 0.453809i | \(0.149935\pi\) | |||||||
\(32\) | 2.57932 | + | 0.795613i | 0.455963 | + | 0.140646i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 4.78753 | − | 6.00338i | 0.821055 | − | 1.02957i | ||||
\(35\) | 0.0638864 | + | 2.59446i | 0.0107988 | + | 0.438545i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6.77479 | + | 6.28609i | −1.11377 | + | 1.03343i | −0.114570 | + | 0.993415i | \(0.536549\pi\) |
−0.999199 | + | 0.0400117i | \(0.987260\pi\) | |||||||
\(38\) | −2.00920 | + | 0.302837i | −0.325935 | + | 0.0491267i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.31411 | + | 0.348796i | 0.365892 | + | 0.0551494i | ||||
\(41\) | 10.0896 | − | 4.85890i | 1.57573 | − | 0.758833i | 0.577395 | − | 0.816465i | \(-0.304069\pi\) |
0.998338 | + | 0.0576326i | \(0.0183552\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 4.98694 | + | 2.40158i | 0.760501 | + | 0.366238i | 0.773598 | − | 0.633676i | \(-0.218455\pi\) |
−0.0130975 | + | 0.999914i | \(0.504169\pi\) | |||||||
\(44\) | 0.733855 | + | 0.500334i | 0.110633 | + | 0.0754282i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.454190 | − | 6.06074i | 0.0669666 | − | 0.893607i | ||||
\(47\) | 4.07192 | − | 10.3751i | 0.593950 | − | 1.51336i | −0.245207 | − | 0.969471i | \(-0.578856\pi\) |
0.839157 | − | 0.543889i | \(-0.183049\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −2.23357 | + | 6.63409i | −0.319082 | + | 0.947727i | ||||
\(50\) | 6.36801 | 0.900573 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.100895 | + | 1.34635i | −0.0139916 | + | 0.186705i | ||||
\(53\) | −4.99617 | − | 4.63577i | −0.686277 | − | 0.636772i | 0.257915 | − | 0.966168i | \(-0.416965\pi\) |
−0.944192 | + | 0.329395i | \(0.893155\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.61106 | + | 0.775846i | 0.217235 | + | 0.104615i | ||||
\(56\) | 5.54255 | + | 3.02057i | 0.740655 | + | 0.403641i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.45030 | − | 0.520049i | −0.453046 | − | 0.0682857i | ||||
\(59\) | −2.97181 | + | 2.02615i | −0.386897 | + | 0.263782i | −0.741111 | − | 0.671382i | \(-0.765701\pi\) |
0.354214 | + | 0.935164i | \(0.384748\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.40633 | + | 5.94420i | −0.820246 | + | 0.761077i | −0.973883 | − | 0.227050i | \(-0.927092\pi\) |
0.153637 | + | 0.988127i | \(0.450901\pi\) | |||||||
\(62\) | 0.575288 | + | 0.721388i | 0.0730617 | + | 0.0916164i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.25286 | − | 4.07896i | 0.406607 | − | 0.509870i | ||||
\(65\) | 0.203127 | + | 2.71054i | 0.0251948 | + | 0.336201i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.712256 | − | 1.23366i | 0.0870160 | − | 0.150716i | −0.819233 | − | 0.573461i | \(-0.805600\pi\) |
0.906248 | + | 0.422745i | \(0.138934\pi\) | |||||||
\(68\) | 1.18612 | + | 2.05442i | 0.143838 | + | 0.249134i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −3.84568 | − | 1.40108i | −0.459647 | − | 0.167461i | ||||
\(71\) | −2.19834 | + | 9.63156i | −0.260895 | + | 1.14306i | 0.659388 | + | 0.751803i | \(0.270816\pi\) |
−0.920283 | + | 0.391253i | \(0.872042\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.06719 | + | 7.81508i | 0.358988 | + | 0.914686i | 0.990273 | + | 0.139135i | \(0.0444323\pi\) |
−0.631286 | + | 0.775550i | \(0.717472\pi\) | |||||||
\(74\) | −5.32498 | − | 13.5678i | −0.619016 | − | 1.57723i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.139684 | − | 0.611995i | 0.0160228 | − | 0.0702006i | ||||
\(77\) | 3.36654 | + | 3.45371i | 0.383653 | + | 0.393587i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.80317 | − | 3.12318i | −0.202872 | − | 0.351385i | 0.746580 | − | 0.665295i | \(-0.231694\pi\) |
−0.949453 | + | 0.313910i | \(0.898361\pi\) | |||||||
\(80\) | −2.32332 | + | 4.02411i | −0.259756 | + | 0.449910i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.31983 | + | 17.6119i | 0.145751 | + | 1.94491i | ||||
\(83\) | 4.89464 | − | 6.13768i | 0.537256 | − | 0.673698i | −0.436917 | − | 0.899502i | \(-0.643929\pi\) |
0.974173 | + | 0.225804i | \(0.0725009\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.97772 | + | 3.73395i | 0.322979 | + | 0.405003i | ||||
\(86\) | −6.39907 | + | 5.93747i | −0.690029 | + | 0.640253i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.59343 | − | 2.44996i | 0.383060 | − | 0.261166i | ||||
\(89\) | −9.38904 | − | 1.41517i | −0.995236 | − | 0.150008i | −0.368824 | − | 0.929499i | \(-0.620239\pi\) |
−0.626413 | + | 0.779492i | \(0.715477\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.98787 | + | 7.05681i | −0.208386 | + | 0.739755i | ||||
\(92\) | 1.69171 | + | 0.814686i | 0.176373 | + | 0.0849369i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 12.8853 | + | 11.9558i | 1.32901 | + | 1.23314i | ||||
\(95\) | 0.0944427 | − | 1.26025i | 0.00968961 | − | 0.129299i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −2.17773 | −0.221115 | −0.110557 | − | 0.993870i | \(-0.535264\pi\) | ||||
−0.110557 | + | 0.993870i | \(0.535264\pi\) | |||||||
\(98\) | −8.45241 | − | 7.10147i | −0.853823 | − | 0.717357i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.718749 | + | 1.83134i | −0.0718749 | + | 0.183134i | ||||
\(101\) | −0.137283 | + | 1.83191i | −0.0136602 | + | 0.182282i | 0.986200 | + | 0.165558i | \(0.0529427\pi\) |
−0.999860 | + | 0.0167238i | \(0.994676\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.652706 | + | 0.445007i | 0.0643130 | + | 0.0438479i | 0.595050 | − | 0.803689i | \(-0.297132\pi\) |
−0.530737 | + | 0.847537i | \(0.678085\pi\) | |||||||
\(104\) | 5.95637 | + | 2.86844i | 0.584071 | + | 0.281274i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 9.68435 | − | 4.66374i | 0.940627 | − | 0.452982i | ||||
\(107\) | −12.6269 | − | 1.90320i | −1.22069 | − | 0.183990i | −0.493083 | − | 0.869982i | \(-0.664130\pi\) |
−0.727608 | + | 0.685993i | \(0.759368\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −16.0702 | + | 2.42220i | −1.53925 | + | 0.232004i | −0.863203 | − | 0.504857i | \(-0.831545\pi\) |
−0.676044 | + | 0.736861i | \(0.736307\pi\) | |||||||
\(110\) | −2.06726 | + | 1.91814i | −0.197105 | + | 0.182887i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −9.60344 | + | 8.05310i | −0.907440 | + | 0.760947i | ||||
\(113\) | −2.79568 | + | 3.50567i | −0.262995 | + | 0.329786i | −0.895743 | − | 0.444572i | \(-0.853356\pi\) |
0.632748 | + | 0.774358i | \(0.281927\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 3.61225 | + | 1.11423i | 0.336844 | + | 0.103903i | ||||
\(116\) | 0.538988 | − | 0.933555i | 0.0500438 | − | 0.0866784i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −1.26225 | − | 5.53027i | −0.116199 | − | 0.509103i | ||||
\(119\) | 4.09882 | + | 12.2122i | 0.375738 | + | 1.11949i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.33583 | + | 2.26280i | −0.666894 | + | 0.205710i | ||||
\(122\) | −5.03536 | − | 12.8299i | −0.455880 | − | 1.16156i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.272392 | + | 0.0840219i | −0.0244616 | + | 0.00754539i | ||||
\(125\) | −1.97272 | + | 8.64303i | −0.176445 | + | 0.773056i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.72089 | + | 7.53971i | 0.152704 | + | 0.669041i | 0.992093 | + | 0.125509i | \(0.0400563\pi\) |
−0.839388 | + | 0.543532i | \(0.817087\pi\) | |||||||
\(128\) | 6.81323 | + | 11.8009i | 0.602210 | + | 1.04306i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.09631 | − | 1.26355i | −0.359270 | − | 0.110820i | ||||
\(131\) | −0.0177821 | − | 0.237286i | −0.00155363 | − | 0.0207318i | 0.996373 | − | 0.0850919i | \(-0.0271184\pi\) |
−0.997927 | + | 0.0643602i | \(0.979499\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 1.40294 | − | 3.10663i | 0.121650 | − | 0.269379i | ||||
\(134\) | 1.40073 | + | 1.75646i | 0.121004 | + | 0.151735i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 11.4862 | − | 1.73127i | 0.984937 | − | 0.148455i | ||||
\(137\) | −7.11680 | + | 4.85215i | −0.608029 | + | 0.414547i | −0.827815 | − | 0.561001i | \(-0.810416\pi\) |
0.219786 | + | 0.975548i | \(0.429464\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 16.4947 | − | 7.94342i | 1.39906 | − | 0.673752i | 0.426090 | − | 0.904681i | \(-0.359891\pi\) |
0.972971 | + | 0.230928i | \(0.0741763\pi\) | |||||||
\(140\) | 0.836987 | − | 0.947821i | 0.0707383 | − | 0.0801055i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −12.8732 | − | 8.77682i | −1.08030 | − | 0.736535i | ||||
\(143\) | 3.70295 | + | 3.43584i | 0.309656 | + | 0.287319i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0.792876 | − | 2.02022i | 0.0658448 | − | 0.167770i | ||||
\(146\) | −13.2404 | −1.09578 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 4.50292 | 0.370138 | ||||||||
\(149\) | 7.84938 | − | 19.9999i | 0.643046 | − | 1.63845i | −0.120509 | − | 0.992712i | \(-0.538453\pi\) |
0.763555 | − | 0.645743i | \(-0.223452\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.35911 | − | 1.26107i | −0.110603 | − | 0.102624i | 0.622933 | − | 0.782275i | \(-0.285941\pi\) |
−0.733536 | + | 0.679651i | \(0.762131\pi\) | |||||||
\(152\) | −2.53968 | − | 1.73152i | −0.205995 | − | 0.140445i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −7.01004 | + | 2.95239i | −0.564885 | + | 0.237910i | ||||
\(155\) | −0.517057 | + | 0.249001i | −0.0415310 | + | 0.0200003i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −13.0284 | + | 8.88264i | −1.03978 | + | 0.708912i | −0.957716 | − | 0.287715i | \(-0.907105\pi\) |
−0.0820670 | + | 0.996627i | \(0.526152\pi\) | |||||||
\(158\) | 5.62401 | − | 0.847683i | 0.447422 | − | 0.0674380i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.65082 | − | 2.07007i | −0.130509 | − | 0.163653i | ||||
\(161\) | 8.12569 | + | 6.15899i | 0.640394 | + | 0.485396i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 0.201848 | + | 2.69348i | 0.0158100 | + | 0.210970i | 0.999514 | + | 0.0311740i | \(0.00992461\pi\) |
−0.983704 | + | 0.179796i | \(0.942456\pi\) | |||||||
\(164\) | −5.21388 | − | 1.60827i | −0.407136 | − | 0.125585i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 6.19040 | + | 10.7221i | 0.480469 | + | 0.832196i | ||||
\(167\) | −3.16201 | − | 13.8537i | −0.244684 | − | 1.07203i | −0.936696 | − | 0.350144i | \(-0.886133\pi\) |
0.692012 | − | 0.721886i | \(-0.256724\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 1.18412 | − | 5.18798i | 0.0910863 | − | 0.399075i | ||||
\(170\) | −7.19742 | + | 2.22011i | −0.552017 | + | 0.170275i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.985270 | − | 2.51043i | −0.0751262 | − | 0.191418i | ||||
\(173\) | 13.1286 | − | 4.04964i | 0.998149 | − | 0.307888i | 0.247714 | − | 0.968833i | \(-0.420321\pi\) |
0.750434 | + | 0.660945i | \(0.229844\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −5.79886 | + | 8.97221i | −0.438353 | + | 0.678235i | ||||
\(176\) | 1.92155 | + | 8.41887i | 0.144842 | + | 0.634596i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 7.48733 | − | 12.9684i | 0.561199 | − | 0.972025i | ||||
\(179\) | 4.27716 | + | 1.31933i | 0.319690 | + | 0.0986113i | 0.450447 | − | 0.892803i | \(-0.351265\pi\) |
−0.130757 | + | 0.991414i | \(0.541741\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.39373 | − | 5.50956i | 0.326583 | − | 0.409522i | −0.591250 | − | 0.806488i | \(-0.701365\pi\) |
0.917833 | + | 0.396966i | \(0.129937\pi\) | |||||||
\(182\) | −9.21457 | − | 6.98432i | −0.683029 | − | 0.517712i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 6.73984 | − | 6.25366i | 0.496868 | − | 0.461026i | ||||
\(185\) | 8.96425 | − | 1.35114i | 0.659064 | − | 0.0993380i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 8.77644 | + | 1.32284i | 0.641797 | + | 0.0967354i | ||||
\(188\) | −4.89264 | + | 2.35617i | −0.356832 | + | 0.171841i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.79573 | + | 0.864777i | 0.130276 | + | 0.0627375i | ||||
\(191\) | 15.8564 | + | 10.8107i | 1.14733 | + | 0.782238i | 0.979074 | − | 0.203505i | \(-0.0652335\pi\) |
0.168258 | + | 0.985743i | \(0.446186\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.69283 | − | 22.5892i | 0.121852 | − | 1.62601i | −0.516517 | − | 0.856277i | \(-0.672772\pi\) |
0.638369 | − | 0.769730i | \(-0.279609\pi\) | |||||||
\(194\) | 1.25476 | − | 3.19707i | 0.0900863 | − | 0.229536i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.99629 | − | 1.62925i | 0.214021 | − | 0.116375i | ||||
\(197\) | 3.49854 | 0.249260 | 0.124630 | − | 0.992203i | \(-0.460226\pi\) | ||||
0.124630 | + | 0.992203i | \(0.460226\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −0.673086 | + | 8.98170i | −0.0477138 | + | 0.636696i | 0.921167 | + | 0.389168i | \(0.127237\pi\) |
−0.968881 | + | 0.247528i | \(0.920382\pi\) | |||||||
\(200\) | 7.06174 | + | 6.55234i | 0.499340 | + | 0.463320i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.61029 | − | 1.25705i | −0.183659 | − | 0.0884457i | ||||
\(203\) | 3.87465 | − | 4.38773i | 0.271947 | − | 0.307958i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −10.8622 | − | 1.63721i | −0.758647 | − | 0.114348i | ||||
\(206\) | −1.02938 | + | 0.701819i | −0.0717203 | + | 0.0488980i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −9.62244 | + | 8.92832i | −0.667196 | + | 0.619068i | ||||
\(209\) | −1.46435 | − | 1.83623i | −0.101291 | − | 0.127015i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 5.64473 | − | 7.07827i | 0.388599 | − | 0.487288i | −0.548599 | − | 0.836086i | \(-0.684839\pi\) |
0.937198 | + | 0.348798i | \(0.113410\pi\) | |||||||
\(212\) | 0.248160 | + | 3.31146i | 0.0170437 | + | 0.227432i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 10.0694 | − | 17.4407i | 0.688330 | − | 1.19222i | ||||
\(215\) | −2.71472 | − | 4.70203i | −0.185142 | − | 0.320676i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.54027 | + | 0.153639i | −0.104560 | + | 0.0104297i | ||||
\(218\) | 5.70333 | − | 24.9879i | 0.386278 | − | 1.69240i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.318298 | − | 0.811010i | −0.0214596 | − | 0.0546783i | ||||
\(221\) | 4.92906 | + | 12.5590i | 0.331565 | + | 0.844813i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.05723 | − | 26.5384i | 0.405622 | − | 1.77715i | −0.198341 | − | 0.980133i | \(-0.563555\pi\) |
0.603963 | − | 0.797013i | \(-0.293588\pi\) | |||||||
\(224\) | −2.27235 | − | 6.77034i | −0.151828 | − | 0.452362i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −3.53578 | − | 6.12416i | −0.235197 | − | 0.407373i | ||||
\(227\) | 8.69808 | − | 15.0655i | 0.577312 | − | 0.999934i | −0.418474 | − | 0.908229i | \(-0.637435\pi\) |
0.995786 | − | 0.0917050i | \(-0.0292317\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −0.918872 | − | 12.2615i | −0.0607207 | − | 0.810262i | −0.941560 | − | 0.336846i | \(-0.890640\pi\) |
0.880839 | − | 0.473416i | \(-0.156979\pi\) | |||||||
\(230\) | −3.71708 | + | 4.66107i | −0.245097 | + | 0.307342i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.29107 | − | 4.12687i | −0.216069 | − | 0.270942i | ||||
\(233\) | 19.5478 | − | 18.1377i | 1.28062 | − | 1.18824i | 0.309168 | − | 0.951007i | \(-0.399949\pi\) |
0.971452 | − | 0.237235i | \(-0.0762410\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −9.03309 | + | 6.15866i | −0.589254 | + | 0.401746i | ||||
\(236\) | 1.73289 | + | 0.261191i | 0.112801 | + | 0.0170021i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −20.2901 | − | 1.01903i | −1.31521 | − | 0.0660537i | ||||
\(239\) | −16.0330 | − | 7.72108i | −1.03709 | − | 0.499435i | −0.163725 | − | 0.986506i | \(-0.552351\pi\) |
−0.873362 | + | 0.487071i | \(0.838065\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.94767 | − | 3.66290i | −0.254292 | − | 0.235948i | 0.542717 | − | 0.839915i | \(-0.317395\pi\) |
−0.797009 | + | 0.603967i | \(0.793586\pi\) | |||||||
\(242\) | 0.904772 | − | 12.0733i | 0.0581609 | − | 0.776104i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 4.25802 | 0.272592 | ||||||||
\(245\) | 5.47603 | − | 4.14252i | 0.349850 | − | 0.264656i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 1.30431 | − | 3.32334i | 0.0829915 | − | 0.211459i | ||||
\(248\) | −0.104310 | + | 1.39192i | −0.00662367 | + | 0.0883868i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −11.5520 | − | 7.87602i | −0.730612 | − | 0.498123i | ||||
\(251\) | 25.6008 | + | 12.3287i | 1.61591 | + | 0.778180i | 0.999954 | − | 0.00960250i | \(-0.00305662\pi\) |
0.615954 | + | 0.787782i | \(0.288771\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 6.32944 | − | 3.04810i | 0.397929 | − | 0.191632i | ||||
\(254\) | −12.0604 | − | 1.81781i | −0.756737 | − | 0.114060i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −10.9324 | + | 1.64779i | −0.683273 | + | 0.102987i | ||||
\(257\) | −14.1645 | + | 13.1427i | −0.883557 | + | 0.819821i | −0.984557 | − | 0.175066i | \(-0.943986\pi\) |
0.101000 | + | 0.994886i | \(0.467796\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 23.9654 | + | 4.85255i | 1.48914 | + | 0.301523i | ||||
\(260\) | 0.825722 | − | 1.03542i | 0.0512091 | − | 0.0642142i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.358600 | + | 0.110613i | 0.0221544 | + | 0.00683371i | ||||
\(263\) | −12.1783 | + | 21.0934i | −0.750945 | + | 1.30067i | 0.196421 | + | 0.980520i | \(0.437068\pi\) |
−0.947365 | + | 0.320155i | \(0.896265\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.48766 | + | 6.51787i | 0.0913863 | + | 0.400390i | ||||
\(266\) | 3.75243 | + | 3.84959i | 0.230076 | + | 0.236034i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.663228 | + | 0.204579i | −0.0405131 | + | 0.0124966i | ||||
\(269\) | 9.23847 | + | 23.5392i | 0.563279 | + | 1.43521i | 0.874571 | + | 0.484898i | \(0.161143\pi\) |
−0.311291 | + | 0.950315i | \(0.600761\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −13.7508 | + | 4.24155i | −0.835299 | + | 0.257656i | −0.682761 | − | 0.730642i | \(-0.739221\pi\) |
−0.152538 | + | 0.988298i | \(0.548745\pi\) | |||||||
\(272\) | −5.13222 | + | 22.4857i | −0.311186 | + | 1.36340i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.02279 | − | 13.2437i | −0.182613 | − | 0.800082i | ||||
\(275\) | 3.68034 | + | 6.37454i | 0.221933 | + | 0.384399i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.48717 | − | 2.00103i | −0.389776 | − | 0.120230i | 0.0936717 | − | 0.995603i | \(-0.470140\pi\) |
−0.483448 | + | 0.875373i | \(0.660616\pi\) | |||||||
\(278\) | 2.15768 | + | 28.7923i | 0.129409 | + | 1.72685i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −2.82299 | − | 5.51071i | −0.168706 | − | 0.329328i | ||||
\(281\) | −13.3608 | − | 16.7539i | −0.797038 | − | 0.999454i | −0.999795 | − | 0.0202251i | \(-0.993562\pi\) |
0.202757 | − | 0.979229i | \(-0.435010\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 22.7564 | − | 3.42997i | 1.35273 | − | 0.203891i | 0.567639 | − | 0.823277i | \(-0.307857\pi\) |
0.785086 | + | 0.619387i | \(0.212619\pi\) | |||||||
\(284\) | 3.97707 | − | 2.71152i | 0.235995 | − | 0.160899i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −7.17762 | + | 3.45656i | −0.424422 | + | 0.204391i | ||||
\(287\) | −26.0162 | − | 14.1783i | −1.53569 | − | 0.836916i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 5.54035 | + | 3.77735i | 0.325903 | + | 0.222197i | ||||
\(290\) | 2.50899 | + | 2.32801i | 0.147333 | + | 0.136705i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 1.49442 | − | 3.80773i | 0.0874546 | − | 0.222831i | ||||
\(293\) | −30.3611 | −1.77371 | −0.886857 | − | 0.462044i | \(-0.847116\pi\) | ||||
−0.886857 | + | 0.462044i | \(0.847116\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 3.52814 | 0.205416 | ||||||||
\(296\) | 8.05547 | − | 20.5250i | 0.468215 | − | 1.19299i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 24.8387 | + | 23.0470i | 1.43887 | + | 1.33508i | ||||
\(299\) | 8.82329 | + | 6.01562i | 0.510264 | + | 0.347892i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.53845 | − | 14.4228i | −0.146314 | − | 0.831314i | ||||
\(302\) | 2.63443 | − | 1.26868i | 0.151595 | − | 0.0730041i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 5.04263 | − | 3.43801i | 0.289215 | − | 0.197183i | ||||
\(305\) | 8.47670 | − | 1.27766i | 0.485374 | − | 0.0731584i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.81992 | − | 4.79003i | −0.218014 | − | 0.273381i | 0.660783 | − | 0.750577i | \(-0.270225\pi\) |
−0.878797 | + | 0.477196i | \(0.841653\pi\) | |||||||
\(308\) | −0.0578473 | − | 2.34921i | −0.00329615 | − | 0.133859i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.0676366 | − | 0.902548i | −0.00384150 | − | 0.0512613i | ||||
\(311\) | 14.8937 | + | 4.59411i | 0.844547 | + | 0.260508i | 0.686687 | − | 0.726953i | \(-0.259064\pi\) |
0.157860 | + | 0.987462i | \(0.449541\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 7.45529 | + | 12.9129i | 0.421398 | + | 0.729883i | 0.996077 | − | 0.0884963i | \(-0.0282062\pi\) |
−0.574678 | + | 0.818379i | \(0.694873\pi\) | |||||||
\(314\) | −5.53370 | − | 24.2447i | −0.312285 | − | 1.36821i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.390994 | + | 1.71306i | −0.0219951 | + | 0.0963670i | ||||
\(317\) | −20.0427 | + | 6.18235i | −1.12571 | + | 0.347235i | −0.801051 | − | 0.598596i | \(-0.795725\pi\) |
−0.324658 | + | 0.945832i | \(0.605249\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1.47349 | − | 3.75439i | −0.0824996 | − | 0.210205i | ||||
\(320\) | −4.89024 | + | 1.50844i | −0.273373 | + | 0.0843243i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −13.7237 | + | 8.38046i | −0.764792 | + | 0.467025i | ||||
\(323\) | −1.39585 | − | 6.11561i | −0.0776670 | − | 0.340281i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.59445 | + | 9.68986i | −0.310324 | + | 0.537497i | ||||
\(326\) | −4.07054 | − | 1.25559i | −0.225446 | − | 0.0695409i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −16.6581 | + | 20.8886i | −0.919789 | + | 1.15338i | ||||
\(329\) | −28.5787 | + | 7.26747i | −1.57559 | + | 0.400669i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.80260 | + | 2.60043i | −0.154045 | + | 0.142933i | −0.753430 | − | 0.657528i | \(-0.771602\pi\) |
0.599385 | + | 0.800461i | \(0.295412\pi\) | |||||||
\(332\) | −3.78221 | + | 0.570077i | −0.207576 | + | 0.0312870i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 22.1601 | + | 3.34010i | 1.21255 | + | 0.182762i | ||||
\(335\) | −1.25894 | + | 0.606276i | −0.0687835 | + | 0.0331244i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −6.99780 | − | 3.36996i | −0.381195 | − | 0.183574i | 0.233467 | − | 0.972365i | \(-0.424993\pi\) |
−0.614661 | + | 0.788791i | \(0.710707\pi\) | |||||||
\(338\) | 6.93408 | + | 4.72758i | 0.377164 | + | 0.257146i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.173894 | − | 2.32045i | 0.00943070 | − | 0.125844i | ||||
\(341\) | −0.389645 | + | 0.992798i | −0.0211004 | + | 0.0537630i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 17.7026 | − | 5.44226i | 0.955850 | − | 0.293855i | ||||
\(344\) | −13.2055 | −0.711993 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −1.61923 | + | 21.6071i | −0.0870502 | + | 1.16160i | ||||
\(347\) | 5.68525 | + | 5.27514i | 0.305200 | + | 0.283185i | 0.817872 | − | 0.575400i | \(-0.195154\pi\) |
−0.512672 | + | 0.858585i | \(0.671344\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.92294 | − | 1.40762i | −0.156462 | − | 0.0753479i | 0.354014 | − | 0.935240i | \(-0.384816\pi\) |
−0.510476 | + | 0.859892i | \(0.670531\pi\) | |||||||
\(350\) | −9.83072 | − | 13.6828i | −0.525474 | − | 0.731374i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.86558 | − | 0.733368i | −0.259336 | − | 0.0390887i | ||||
\(353\) | 10.9183 | − | 7.44395i | 0.581121 | − | 0.396201i | −0.236778 | − | 0.971564i | \(-0.576091\pi\) |
0.817899 | + | 0.575362i | \(0.195139\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 7.10378 | − | 6.59134i | 0.377029 | − | 0.349832i | ||||
\(356\) | 2.88444 | + | 3.61697i | 0.152875 | + | 0.191699i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.40128 | + | 5.51903i | −0.232615 | + | 0.291690i | ||||
\(359\) | −1.85359 | − | 24.7345i | −0.0978289 | − | 1.30544i | −0.802821 | − | 0.596221i | \(-0.796668\pi\) |
0.704992 | − | 0.709216i | \(-0.250951\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.67004 | − | 15.0170i | 0.456318 | − | 0.790366i | ||||
\(362\) | 5.55689 | + | 9.62481i | 0.292064 | + | 0.505869i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 3.04862 | − | 1.86166i | 0.159791 | − | 0.0975774i | ||||
\(365\) | 1.83250 | − | 8.02870i | 0.0959174 | − | 0.420241i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −6.94109 | − | 17.6856i | −0.362322 | − | 0.923182i | −0.989530 | − | 0.144329i | \(-0.953897\pi\) |
0.627208 | − | 0.778852i | \(-0.284198\pi\) | |||||||
\(368\) | 6.66948 | + | 16.9935i | 0.347670 | + | 0.885850i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −3.18142 | + | 13.9387i | −0.165394 | + | 0.724638i | ||||
\(371\) | −2.24783 | + | 17.8917i | −0.116701 | + | 0.928890i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.37297 | + | 12.7704i | 0.381758 | + | 0.661224i | 0.991314 | − | 0.131519i | \(-0.0419854\pi\) |
−0.609556 | + | 0.792743i | \(0.708652\pi\) | |||||||
\(374\) | −6.99881 | + | 12.1223i | −0.361900 | + | 0.626829i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.98713 | + | 26.5165i | 0.102479 | + | 1.36748i | ||||
\(377\) | 3.82250 | − | 4.79326i | 0.196869 | − | 0.246865i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 20.4541 | + | 25.6487i | 1.05066 | + | 1.31748i | 0.946423 | + | 0.322930i | \(0.104668\pi\) |
0.104235 | + | 0.994553i | \(0.466761\pi\) | |||||||
\(380\) | −0.451378 | + | 0.418817i | −0.0231552 | + | 0.0214849i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −25.0071 | + | 17.0496i | −1.27948 | + | 0.872331i | ||||
\(383\) | −37.7257 | − | 5.68624i | −1.92769 | − | 0.290553i | −0.930556 | − | 0.366150i | \(-0.880676\pi\) |
−0.997138 | + | 0.0755973i | \(0.975914\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.820063 | − | 4.65937i | −0.0417943 | − | 0.237463i | ||||
\(386\) | 32.1873 | + | 15.5006i | 1.63829 | + | 0.788960i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0.777805 | + | 0.721698i | 0.0394871 | + | 0.0366387i | ||||
\(389\) | −1.85242 | + | 24.7188i | −0.0939212 | + | 1.25329i | 0.728752 | + | 0.684777i | \(0.240101\pi\) |
−0.822673 | + | 0.568514i | \(0.807518\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 18.7633 | 0.948899 | ||||||||
\(392\) | −2.06619 | − | 16.5722i | −0.104358 | − | 0.837022i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.01578 | + | 5.13612i | −0.101553 | + | 0.258754i | ||||
\(395\) | −0.264358 | + | 3.52761i | −0.0133013 | + | 0.177493i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −28.8606 | − | 19.6768i | −1.44847 | − | 0.987551i | −0.995373 | − | 0.0960904i | \(-0.969366\pi\) |
−0.453099 | − | 0.891460i | \(-0.649681\pi\) | |||||||
\(398\) | −12.7980 | − | 6.16320i | −0.641506 | − | 0.308933i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −17.2332 | + | 8.29906i | −0.861658 | + | 0.414953i | ||||
\(401\) | −9.06529 | − | 1.36637i | −0.452699 | − | 0.0682334i | −0.0812645 | − | 0.996693i | \(-0.525896\pi\) |
−0.371434 | + | 0.928459i | \(0.621134\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.60310 | + | 0.241629i | −0.0798562 | + | 0.0120364i | ||||
\(404\) | 0.656129 | − | 0.608798i | 0.0326436 | − | 0.0302888i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.20904 | + | 8.21639i | 0.208891 | + | 0.407772i | ||||
\(407\) | 10.5042 | − | 13.1718i | 0.520674 | − | 0.652904i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −36.0305 | − | 11.1139i | −1.78159 | − | 0.549548i | −0.784119 | − | 0.620610i | \(-0.786885\pi\) |
−0.997472 | + | 0.0710621i | \(0.977361\pi\) | |||||||
\(410\) | 8.66209 | − | 15.0032i | 0.427790 | − | 0.740954i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.0856477 | − | 0.375247i | −0.00421956 | − | 0.0184871i | ||||
\(413\) | 8.94131 | + | 3.25755i | 0.439973 | + | 0.160294i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −7.35843 | + | 2.26978i | −0.361211 | + | 0.111419i | ||||
\(416\) | −2.73263 | − | 6.96262i | −0.133978 | − | 0.341370i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 3.53945 | − | 1.09178i | 0.173120 | − | 0.0534005i | ||||
\(419\) | −3.06592 | + | 13.4327i | −0.149780 | + | 0.656230i | 0.843165 | + | 0.537655i | \(0.180690\pi\) |
−0.992945 | + | 0.118575i | \(0.962167\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 4.90355 | + | 21.4839i | 0.238984 | + | 1.04706i | 0.941928 | + | 0.335814i | \(0.109011\pi\) |
−0.702944 | + | 0.711245i | \(0.748132\pi\) | |||||||
\(422\) | 7.13907 | + | 12.3652i | 0.347525 | + | 0.601930i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 15.5381 | + | 4.79287i | 0.754597 | + | 0.232762i | ||||
\(425\) | 1.46915 | + | 19.6044i | 0.0712642 | + | 0.950955i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 22.6620 | + | 4.58863i | 1.09669 | + | 0.222060i | ||||
\(428\) | 3.87916 | + | 4.86432i | 0.187506 | + | 0.235126i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 8.46709 | − | 1.27621i | 0.408319 | − | 0.0615442i | ||||
\(431\) | 11.2152 | − | 7.64637i | 0.540216 | − | 0.368313i | −0.262260 | − | 0.964997i | \(-0.584468\pi\) |
0.802476 | + | 0.596684i | \(0.203516\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.6117 | + | 6.07346i | −0.606078 | + | 0.291872i | −0.711644 | − | 0.702540i | \(-0.752049\pi\) |
0.105566 | + | 0.994412i | \(0.466335\pi\) | |||||||
\(434\) | 0.661916 | − | 2.34976i | 0.0317730 | − | 0.112792i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.54242 | + | 4.46054i | 0.313325 | + | 0.213621i | ||||
\(437\) | −3.63966 | − | 3.37711i | −0.174109 | − | 0.161549i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 14.9350 | − | 38.0538i | 0.712809 | − | 1.81621i | 0.151778 | − | 0.988415i | \(-0.451500\pi\) |
0.561032 | − | 0.827794i | \(-0.310405\pi\) | |||||||
\(440\) | −4.26612 | −0.203379 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −21.2776 | −1.01207 | ||||||||
\(443\) | 12.0541 | − | 30.7134i | 0.572709 | − | 1.45924i | −0.291729 | − | 0.956501i | \(-0.594231\pi\) |
0.864439 | − | 0.502738i | \(-0.167674\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 6.82754 | + | 6.33503i | 0.323656 | + | 0.300309i | ||||
\(446\) | 35.4704 | + | 24.1833i | 1.67957 | + | 1.14511i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −13.7860 | − | 0.692372i | −0.651327 | − | 0.0327115i | ||||
\(449\) | −7.94141 | + | 3.82438i | −0.374778 | + | 0.180484i | −0.611785 | − | 0.791024i | \(-0.709548\pi\) |
0.237006 | + | 0.971508i | \(0.423834\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −16.8672 | + | 11.4998i | −0.794244 | + | 0.541506i | ||||
\(452\) | 2.16029 | − | 0.325612i | 0.101612 | − | 0.0153155i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 17.1057 | + | 21.4499i | 0.802810 | + | 1.00669i | ||||
\(455\) | 5.51047 | − | 4.62089i | 0.258335 | − | 0.216631i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.71516 | + | 22.8873i | 0.0802320 | + | 1.07062i | 0.881459 | + | 0.472261i | \(0.156562\pi\) |
−0.801227 | + | 0.598361i | \(0.795819\pi\) | |||||||
\(458\) | 18.5302 | + | 5.71582i | 0.865861 | + | 0.267083i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −0.920910 | − | 1.59506i | −0.0429376 | − | 0.0743702i | ||||
\(461\) | −4.73476 | − | 20.7443i | −0.220520 | − | 0.966160i | −0.957088 | − | 0.289797i | \(-0.906412\pi\) |
0.736568 | − | 0.676363i | \(-0.236445\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −0.343768 | + | 1.50615i | −0.0159762 | + | 0.0699965i | −0.982288 | − | 0.187379i | \(-0.940001\pi\) |
0.966311 | + | 0.257376i | \(0.0828578\pi\) | |||||||
\(464\) | 10.0150 | − | 3.08921i | 0.464933 | − | 0.143413i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 15.3646 | + | 39.1482i | 0.711749 | + | 1.81351i | ||||
\(467\) | 1.27752 | − | 0.394062i | 0.0591164 | − | 0.0182350i | −0.265056 | − | 0.964233i | \(-0.585390\pi\) |
0.324172 | + | 0.945998i | \(0.394914\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.75030 | + | 0.374084i | −0.173173 | + | 0.0172736i | ||||
\(470\) | −3.83671 | − | 16.8097i | −0.176974 | − | 0.775376i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 4.29059 | − | 7.43152i | 0.197490 | − | 0.342063i | ||||
\(473\) | −9.64184 | − | 2.97411i | −0.443332 | − | 0.136750i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.24353 | − | 4.06725i | 0.148823 | − | 0.186618i | ||||
\(476\) | 2.58318 | − | 5.72011i | 0.118400 | − | 0.262181i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 20.5730 | − | 19.0889i | 0.940986 | − | 0.873107i | ||||
\(479\) | 11.7812 | − | 1.77573i | 0.538297 | − | 0.0811352i | 0.125733 | − | 0.992064i | \(-0.459872\pi\) |
0.412563 | + | 0.910929i | \(0.364634\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 25.3235 | + | 3.81691i | 1.15465 | + | 0.174036i | ||||
\(482\) | 7.65198 | − | 3.68500i | 0.348538 | − | 0.167847i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.36999 | + | 1.62290i | 0.153181 | + | 0.0737682i | ||||
\(485\) | 1.76498 | + | 1.20334i | 0.0801435 | + | 0.0546409i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.265737 | − | 3.54601i | 0.0120417 | − | 0.160685i | −0.987941 | − | 0.154830i | \(-0.950517\pi\) |
0.999983 | − | 0.00585546i | \(-0.00186386\pi\) | |||||||
\(488\) | 7.61735 | − | 19.4087i | 0.344821 | − | 0.878591i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.92637 | + | 10.4260i | 0.132200 | + | 0.471001i | ||||
\(491\) | −3.71083 | −0.167467 | −0.0837336 | − | 0.996488i | \(-0.526684\pi\) | ||||
−0.0837336 | + | 0.996488i | \(0.526684\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 0.805002 | − | 10.7420i | 0.0362554 | − | 0.483795i | ||||
\(494\) | 4.12739 | + | 3.82966i | 0.185700 | + | 0.172305i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.49699 | − | 1.20249i | −0.112118 | − | 0.0539933i | ||||
\(497\) | 24.0888 | − | 10.1454i | 1.08053 | − | 0.455082i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 30.6734 | + | 4.62327i | 1.37313 | + | 0.206966i | 0.793825 | − | 0.608146i | \(-0.208086\pi\) |
0.579304 | + | 0.815112i | \(0.303325\pi\) | |||||||
\(500\) | 3.56888 | − | 2.43322i | 0.159605 | − | 0.108817i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −32.8501 | + | 30.4804i | −1.46617 | + | 1.36041i | ||||
\(503\) | 13.0212 | + | 16.3281i | 0.580587 | + | 0.728033i | 0.982213 | − | 0.187771i | \(-0.0601262\pi\) |
−0.401626 | + | 0.915804i | \(0.631555\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1.12352 | − | 1.40885i | 0.0499960 | − | 0.0626930i | ||||
\(506\) | 0.827960 | + | 11.0484i | 0.0368073 | + | 0.491159i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.88402 | − | 3.26321i | 0.0835898 | − | 0.144782i | ||||
\(509\) | −16.4615 | − | 28.5122i | −0.729643 | − | 1.26378i | −0.957034 | − | 0.289976i | \(-0.906353\pi\) |
0.227390 | − | 0.973804i | \(-0.426981\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 12.0570 | − | 18.6550i | 0.533370 | − | 0.825250i | ||||
\(512\) | −2.18444 | + | 9.57065i | −0.0965395 | + | 0.422967i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −11.1333 | − | 28.3671i | −0.491067 | − | 1.25122i | ||||
\(515\) | −0.283101 | − | 0.721329i | −0.0124749 | − | 0.0317855i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −4.52109 | + | 19.8082i | −0.198837 | + | 0.871163i | ||||
\(518\) | −20.9323 | + | 32.3872i | −0.919711 | + | 1.42301i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −3.24244 | − | 5.61608i | −0.142191 | − | 0.246281i | ||||
\(521\) | 3.86730 | − | 6.69836i | 0.169430 | − | 0.293461i | −0.768790 | − | 0.639501i | \(-0.779141\pi\) |
0.938219 | + | 0.346041i | \(0.112474\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 0.145534 | + | 1.94202i | 0.00636376 | + | 0.0849184i | 0.999481 | − | 0.0322031i | \(-0.0102523\pi\) |
−0.993118 | + | 0.117122i | \(0.962633\pi\) | |||||||
\(524\) | −0.0722854 | + | 0.0906430i | −0.00315780 | + | 0.00395976i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −23.9499 | − | 30.0322i | −1.04426 | − | 1.30947i | ||||
\(527\) | −2.08813 | + | 1.93750i | −0.0909604 | + | 0.0843989i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −6.73268 | + | 4.59026i | −0.292725 | + | 0.199577i | ||||
\(530\) | −10.4259 | − | 1.57145i | −0.452872 | − | 0.0682594i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.53061 | + | 0.644642i | −0.0663606 | + | 0.0279488i | ||||
\(533\) | −27.9586 | − | 13.4642i | −1.21102 | − | 0.583197i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 9.18207 | + | 8.51972i | 0.396976 | + | 0.368340i | ||||
\(536\) | −0.253976 | + | 3.38908i | −0.0109701 | + | 0.146386i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −39.8804 | −1.71937 | ||||||||
\(539\) | 2.22374 | − | 12.5653i | 0.0957835 | − | 0.541226i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −1.46372 | + | 3.72949i | −0.0629301 | + | 0.160343i | −0.958880 | − | 0.283812i | \(-0.908401\pi\) |
0.895950 | + | 0.444155i | \(0.146496\pi\) | |||||||
\(542\) | 1.69596 | − | 22.6310i | 0.0728478 | − | 0.972087i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −10.8585 | − | 7.40322i | −0.465555 | − | 0.317410i | ||||
\(545\) | 14.3628 | + | 6.91677i | 0.615236 | + | 0.296282i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −20.6693 | + | 9.95381i | −0.883756 | + | 0.425594i | −0.819995 | − | 0.572371i | \(-0.806024\pi\) |
−0.0637608 | + | 0.997965i | \(0.520309\pi\) | |||||||
\(548\) | 4.14987 | + | 0.625492i | 0.177274 | + | 0.0267197i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −11.4788 | + | 1.73016i | −0.489459 | + | 0.0737741i | ||||
\(551\) | −2.08955 | + | 1.93882i | −0.0890180 | + | 0.0825966i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −3.92701 | + | 8.69587i | −0.166994 | + | 0.369786i | ||||
\(554\) | 6.67542 | − | 8.37072i | 0.283612 | − | 0.355638i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.52376 | − | 2.62923i | −0.361488 | − | 0.111504i | ||||
\(557\) | 15.7311 | − | 27.2471i | 0.666548 | − | 1.15449i | −0.312315 | − | 0.949978i | \(-0.601105\pi\) |
0.978863 | − | 0.204516i | \(-0.0655621\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.41300 | − | 14.9533i | −0.144354 | − | 0.632458i | ||||
\(560\) | 12.2332 | − | 1.22023i | 0.516946 | − | 0.0515642i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 32.2942 | − | 9.96144i | 1.36225 | − | 0.420198i | ||||
\(563\) | −0.895432 | − | 2.28152i | −0.0377379 | − | 0.0961547i | 0.910762 | − | 0.412931i | \(-0.135495\pi\) |
−0.948500 | + | 0.316776i | \(0.897400\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 4.20293 | − | 1.29643i | 0.176818 | − | 0.0545413i | ||||
\(566\) | −8.07625 | + | 35.3844i | −0.339470 | + | 1.48732i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −5.24477 | − | 22.9788i | −0.220066 | − | 0.964170i | ||||
\(569\) | 20.8347 | + | 36.0867i | 0.873436 | + | 1.51283i | 0.858420 | + | 0.512948i | \(0.171447\pi\) |
0.0150158 | + | 0.999887i | \(0.495220\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.80024 | + | 2.09760i | 0.284581 | + | 0.0877817i | 0.433760 | − | 0.901029i | \(-0.357187\pi\) |
−0.149178 | + | 0.988810i | \(0.547663\pi\) | |||||||
\(572\) | −0.183925 | − | 2.45431i | −0.00769030 | − | 0.102620i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 35.8047 | − | 30.0245i | 1.49446 | − | 1.25320i | ||||
\(575\) | 9.70195 | + | 12.1659i | 0.404599 | + | 0.507352i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −13.7617 | + | 2.07425i | −0.572908 | + | 0.0863520i | −0.429106 | − | 0.903254i | \(-0.641171\pi\) |
−0.143803 | + | 0.989606i | \(0.545933\pi\) | |||||||
\(578\) | −8.73766 | + | 5.95723i | −0.363439 | + | 0.247788i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.952686 | + | 0.458789i | −0.0395581 | + | 0.0190502i | ||||
\(581\) | −20.7440 | − | 1.04182i | −0.860607 | − | 0.0432222i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 10.2655 | + | 6.99891i | 0.425154 | + | 0.289865i | ||||
\(584\) | −14.6828 | − | 13.6236i | −0.607578 | − | 0.563750i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 17.4934 | − | 44.5724i | 0.722645 | − | 1.84127i | ||||
\(587\) | −45.9865 | −1.89807 | −0.949034 | − | 0.315174i | \(-0.897937\pi\) | ||||
−0.949034 | + | 0.315174i | \(0.897937\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 0.753773 | 0.0310587 | ||||||||
\(590\) | −2.03284 | + | 5.17958i | −0.0836906 | + | 0.213240i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 32.0926 | + | 29.7776i | 1.31900 | + | 1.22385i | ||||
\(593\) | −4.05079 | − | 2.76178i | −0.166346 | − | 0.113413i | 0.477286 | − | 0.878748i | \(-0.341621\pi\) |
−0.643632 | + | 0.765335i | \(0.722573\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 3.42612 | − | 12.1625i | 0.140457 | − | 0.498613i | ||||
\(596\) | −9.43147 | + | 4.54196i | −0.386328 | + | 0.186046i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13.9152 | + | 9.48720i | −0.569033 | + | 0.387960i | ||||
\(599\) | −33.1327 | + | 4.99396i | −1.35377 | + | 0.204047i | −0.785533 | − | 0.618820i | \(-0.787611\pi\) |
−0.568234 | + | 0.822867i | \(0.692373\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.2815 | − | 12.8926i | −0.419390 | − | 0.525898i | 0.526592 | − | 0.850118i | \(-0.323470\pi\) |
−0.945982 | + | 0.324220i | \(0.894898\pi\) | |||||||
\(602\) | 22.6363 | + | 4.58343i | 0.922588 | + | 0.186807i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.0675068 | + | 0.900816i | 0.00274681 | + | 0.0366537i | ||||
\(605\) | 7.19581 | + | 2.21961i | 0.292551 | + | 0.0902401i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −20.1768 | − | 34.9473i | −0.818952 | − | 1.41847i | −0.906455 | − | 0.422301i | \(-0.861222\pi\) |
0.0875039 | − | 0.996164i | \(-0.472111\pi\) | |||||||
\(608\) | 0.773845 | + | 3.39044i | 0.0313835 | + | 0.137500i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.00839 | + | 13.1806i | −0.121806 | + | 0.533667i | ||||
\(611\) | −29.5124 | + | 9.10338i | −1.19395 | + | 0.368284i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 4.29486 | + | 10.9431i | 0.173468 | + | 0.441989i | 0.990995 | − | 0.133902i | \(-0.0427506\pi\) |
−0.817527 | + | 0.575891i | \(0.804655\pi\) | |||||||
\(614\) | 9.23308 | − | 2.84803i | 0.372617 | − | 0.114937i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −10.8116 | − | 3.93893i | −0.435610 | − | 0.158704i | ||||
\(617\) | 6.39881 | + | 28.0350i | 0.257606 | + | 1.12865i | 0.923802 | + | 0.382870i | \(0.125064\pi\) |
−0.666196 | + | 0.745777i | \(0.732078\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.15775 | − | 15.8617i | 0.368081 | − | 0.637535i | −0.621185 | − | 0.783664i | \(-0.713348\pi\) |
0.989265 | + | 0.146129i | \(0.0466816\pi\) | |||||||
\(620\) | 0.267193 | + | 0.0824181i | 0.0107307 | + | 0.00330999i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −15.3259 | + | 19.2181i | −0.614515 | + | 0.770577i | ||||
\(623\) | 11.4537 | + | 22.3586i | 0.458884 | + | 0.895780i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −8.42494 | + | 7.81720i | −0.336998 | + | 0.312688i | ||||
\(626\) | −23.2528 | + | 3.50479i | −0.929368 | + | 0.140080i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 7.59700 | + | 1.14506i | 0.303153 | + | 0.0456930i | ||||
\(629\) | 40.5411 | − | 19.5236i | 1.61648 | − | 0.778456i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.2211 | − | 6.84854i | −0.566134 | − | 0.272636i | 0.128846 | − | 0.991665i | \(-0.458873\pi\) |
−0.694980 | + | 0.719029i | \(0.744587\pi\) | |||||||
\(632\) | 7.10891 | + | 4.84677i | 0.282777 | + | 0.192794i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 2.47198 | − | 32.9863i | 0.0981749 | − | 1.31005i | ||||
\(635\) | 2.77147 | − | 7.06160i | 0.109983 | − | 0.280231i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 18.2316 | − | 6.62278i | 0.722361 | − | 0.262404i | ||||
\(638\) | 6.36072 | 0.251823 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.998870 | − | 13.3290i | 0.0394838 | − | 0.526875i | ||||
\(641\) | −19.2939 | − | 17.9021i | −0.762062 | − | 0.707090i | 0.200038 | − | 0.979788i | \(-0.435894\pi\) |
−0.962100 | + | 0.272698i | \(0.912084\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 36.3534 | + | 17.5069i | 1.43364 | + | 0.690404i | 0.979671 | − | 0.200613i | \(-0.0642935\pi\) |
0.453969 | + | 0.891018i | \(0.350008\pi\) | |||||||
\(644\) | −0.861116 | − | 4.89262i | −0.0339327 | − | 0.192796i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 9.78243 | + | 1.47446i | 0.384885 | + | 0.0580120i | ||||
\(647\) | −30.9391 | + | 21.0939i | −1.21634 | + | 0.829287i | −0.989484 | − | 0.144641i | \(-0.953797\pi\) |
−0.226856 | + | 0.973928i | \(0.572845\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.80643 | − | 4.45971i | 0.188669 | − | 0.175059i | ||||
\(650\) | −11.0021 | − | 13.7962i | −0.431537 | − | 0.541130i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0.820526 | − | 1.02891i | 0.0321343 | − | 0.0402951i | ||||
\(653\) | −0.228595 | − | 3.05039i | −0.00894563 | − | 0.119371i | 0.990943 | − | 0.134282i | \(-0.0428727\pi\) |
−0.999889 | + | 0.0149106i | \(0.995254\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −0.116705 | + | 0.202139i | −0.00456003 | + | 0.00789820i | ||||
\(656\) | −26.5243 | − | 45.9414i | −1.03560 | − | 1.79371i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.79720 | − | 46.1431i | 0.225998 | − | 1.79884i | ||||
\(659\) | −5.70915 | + | 25.0134i | −0.222397 | + | 0.974384i | 0.733271 | + | 0.679937i | \(0.237993\pi\) |
−0.955668 | + | 0.294448i | \(0.904864\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −6.83253 | − | 17.4090i | −0.265755 | − | 0.677132i | 0.734244 | − | 0.678886i | \(-0.237537\pi\) |
−0.999998 | + | 0.00175402i | \(0.999442\pi\) | |||||||
\(662\) | −2.20284 | − | 5.61274i | −0.0856158 | − | 0.218145i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −4.16767 | + | 18.2597i | −0.161737 | + | 0.708616i | ||||
\(665\) | −2.85366 | + | 1.74260i | −0.110660 | + | 0.0675753i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −4.26315 | − | 7.38399i | −0.165070 | − | 0.285909i | ||||
\(668\) | −3.46175 | + | 5.99592i | −0.133939 | + | 0.231989i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.164684 | − | 2.19755i | −0.00636228 | − | 0.0848987i | ||||
\(671\) | 9.93290 | − | 12.4555i | 0.383455 | − | 0.480838i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.18995 | − | 1.49214i | −0.0458690 | − | 0.0575179i | 0.758368 | − | 0.651827i | \(-0.225997\pi\) |
−0.804237 | + | 0.594309i | \(0.797426\pi\) | |||||||
\(674\) | 8.97934 | − | 8.33161i | 0.345871 | − | 0.320922i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −2.14222 | + | 1.46054i | −0.0823931 | + | 0.0561747i | ||||
\(677\) | 31.7283 | + | 4.78227i | 1.21942 | + | 0.183797i | 0.727046 | − | 0.686588i | \(-0.240893\pi\) |
0.492370 | + | 0.870386i | \(0.336131\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.36190 | + | 4.67922i | 0.129018 | + | 0.179572i | ||||
\(680\) | −10.2659 | − | 4.94378i | −0.393678 | − | 0.189585i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −1.23300 | − | 1.14406i | −0.0472140 | − | 0.0438082i | ||||
\(683\) | 0.394922 | − | 5.26986i | 0.0151113 | − | 0.201646i | −0.984538 | − | 0.175170i | \(-0.943952\pi\) |
0.999649 | − | 0.0264757i | \(-0.00842847\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.44908 | 0.322823 | ||||||||
\(686\) | −2.21018 | + | 29.1245i | −0.0843851 | + | 1.11198i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 9.57926 | − | 24.4076i | 0.365206 | − | 0.930529i | ||||
\(689\) | −1.41137 | + | 18.8334i | −0.0537688 | + | 0.717494i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −37.9438 | − | 25.8697i | −1.44345 | − | 0.984128i | −0.995956 | − | 0.0898421i | \(-0.971364\pi\) |
−0.447495 | − | 0.894286i | \(-0.647684\pi\) | |||||||
\(692\) | −6.03111 | − | 2.90443i | −0.229268 | − | 0.110410i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −11.0200 | + | 5.30697i | −0.418315 | + | 0.201450i | ||||
\(695\) | −17.7577 | − | 2.67654i | −0.673588 | − | 0.101527i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −53.9152 | + | 8.12641i | −2.04218 | + | 0.307810i | ||||
\(698\) | 3.75062 | − | 3.48007i | 0.141963 | − | 0.131723i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 5.04453 | − | 1.28281i | 0.190665 | − | 0.0484856i | ||||
\(701\) | −13.2240 | + | 16.5824i | −0.499465 | + | 0.626310i | −0.966109 | − | 0.258136i | \(-0.916892\pi\) |
0.466643 | + | 0.884446i | \(0.345463\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −11.3780 | − | 3.50966i | −0.429131 | − | 0.132369i | ||||
\(704\) | −4.75530 | + | 8.23642i | −0.179222 | + | 0.310422i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 4.63743 | + | 20.3179i | 0.174532 | + | 0.764674i | ||||
\(707\) | 4.14811 | − | 2.53307i | 0.156006 | − | 0.0952659i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −13.0499 | + | 4.02535i | −0.490098 | + | 0.151175i | −0.529947 | − | 0.848031i | \(-0.677788\pi\) |
0.0398497 | + | 0.999206i | \(0.487312\pi\) | |||||||
\(710\) | 5.58356 | + | 14.2267i | 0.209547 | + | 0.533917i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 21.6468 | − | 6.67716i | 0.811249 | − | 0.250237i | ||||
\(713\) | −0.501710 | + | 2.19814i | −0.0187892 | + | 0.0823208i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.10259 | − | 4.83077i | −0.0412346 | − | 0.180660i | ||||
\(716\) | −1.09042 | − | 1.88867i | −0.0407510 | − | 0.0705828i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 37.3801 | + | 11.5302i | 1.39501 | + | 0.430305i | ||||
\(719\) | −0.184875 | − | 2.46699i | −0.00689468 | − | 0.0920032i | 0.992695 | − | 0.120652i | \(-0.0384986\pi\) |
−0.999590 | + | 0.0286490i | \(0.990880\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −0.0514506 | − | 2.08944i | −0.00191612 | − | 0.0778147i | ||||
\(722\) | 17.0506 | + | 21.3807i | 0.634556 | + | 0.795708i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −3.39515 | + | 0.511736i | −0.126180 | + | 0.0190185i | ||||
\(725\) | 7.38122 | − | 5.03243i | 0.274132 | − | 0.186900i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −22.8931 | + | 11.0247i | −0.849059 | + | 0.408885i | −0.807228 | − | 0.590239i | \(-0.799033\pi\) |
−0.0418307 | + | 0.999125i | \(0.513319\pi\) | |||||||
\(728\) | −3.03192 | − | 17.2265i | −0.112370 | − | 0.638456i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 10.7309 | + | 7.31621i | 0.397169 | + | 0.270785i | ||||
\(731\) | −19.7553 | − | 18.3302i | −0.730676 | − | 0.677968i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 17.5793 | − | 44.7914i | 0.649308 | − | 1.65441i | −0.102264 | − | 0.994757i | \(-0.532609\pi\) |
0.751572 | − | 0.659652i | \(-0.229296\pi\) | |||||||
\(734\) | 29.9631 | 1.10596 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −10.4022 | −0.383430 | ||||||||
\(737\) | −0.948717 | + | 2.41729i | −0.0349464 | + | 0.0890421i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 15.1924 | + | 14.0965i | 0.558862 | + | 0.518548i | 0.908249 | − | 0.418431i | \(-0.137420\pi\) |
−0.349387 | + | 0.936978i | \(0.613610\pi\) | |||||||
\(740\) | −3.64947 | − | 2.48817i | −0.134157 | − | 0.0914669i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −24.9712 | − | 13.6088i | −0.916722 | − | 0.499594i | ||||
\(743\) | 24.6672 | − | 11.8791i | 0.904952 | − | 0.435802i | 0.0772768 | − | 0.997010i | \(-0.475377\pi\) |
0.827675 | + | 0.561208i | \(0.189663\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −17.4130 | + | 11.8720i | −0.637962 | + | 0.434955i | ||||
\(746\) | −22.9960 | + | 3.46609i | −0.841944 | + | 0.126903i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −2.69624 | − | 3.38098i | −0.0985844 | − | 0.123621i | ||||
\(749\) | 15.4037 | + | 30.0692i | 0.562837 | + | 1.09871i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −2.82950 | − | 37.7570i | −0.103250 | − | 1.37777i | −0.772631 | − | 0.634855i | \(-0.781060\pi\) |
0.669382 | − | 0.742919i | \(-0.266559\pi\) | |||||||
\(752\) | −50.4514 | − | 15.5622i | −1.83977 | − | 0.567495i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 4.83443 | + | 8.37348i | 0.176060 | + | 0.304944i | ||||
\(755\) | 0.404688 | + | 1.77305i | 0.0147281 | + | 0.0645281i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.71911 | + | 7.53191i | −0.0624821 | + | 0.273752i | −0.996513 | − | 0.0834410i | \(-0.973409\pi\) |
0.934031 | + | 0.357193i | \(0.116266\pi\) | |||||||
\(758\) | −49.4394 | + | 15.2500i | −1.79572 | + | 0.553906i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.10154 | + | 2.80669i | 0.0399572 | + | 0.101809i | ||||
\(761\) | 25.4811 | − | 7.85989i | 0.923691 | − | 0.284921i | 0.203804 | − | 0.979012i | \(-0.434670\pi\) |
0.719887 | + | 0.694091i | \(0.244193\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 30.0131 | + | 30.7903i | 1.08655 | + | 1.11468i | ||||
\(764\) | −2.08067 | − | 9.11603i | −0.0752761 | − | 0.329806i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 30.0845 | − | 52.1080i | 1.08700 | − | 1.88274i | ||||
\(767\) | 9.52403 | + | 2.93777i | 0.343893 | + | 0.106077i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 13.1660 | − | 16.5096i | 0.474777 | − | 0.595352i | −0.485557 | − | 0.874205i | \(-0.661383\pi\) |
0.960334 | + | 0.278854i | \(0.0899545\pi\) | |||||||
\(770\) | 7.31281 | + | 1.48071i | 0.263535 | + | 0.0533610i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −8.09068 | + | 7.50705i | −0.291190 | + | 0.270185i | ||||
\(773\) | −19.4909 | + | 2.93778i | −0.701038 | + | 0.105665i | −0.489883 | − | 0.871788i | \(-0.662961\pi\) |
−0.211155 | + | 0.977453i | \(0.567722\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.33596 | − | 0.352090i | −0.0839103 | − | 0.0126474i | ||||
\(776\) | 4.68106 | − | 2.25428i | 0.168040 | − | 0.0809239i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −35.2217 | − | 16.9619i | −1.26276 | − | 0.608113i | ||||
\(779\) | 11.9210 | + | 8.12760i | 0.427114 | + | 0.291201i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.34584 | − | 17.9589i | 0.0481578 | − | 0.642621i | ||||
\(782\) | −10.8110 | + | 27.5459i | −0.386600 | + | 0.985040i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 32.1289 | + | 8.20253i | 1.14746 | + | 0.292947i | ||||
\(785\) | 15.4674 | 0.552055 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −2.80339 | + | 37.4086i | −0.0999301 | + | 1.33347i | 0.691572 | + | 0.722308i | \(0.256918\pi\) |
−0.791502 | + | 0.611166i | \(0.790701\pi\) | |||||||
\(788\) | −1.24955 | − | 1.15941i | −0.0445134 | − | 0.0413024i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −5.02648 | − | 2.42063i | −0.178834 | − | 0.0861220i | ||||
\(791\) | 11.8484 | + | 0.595060i | 0.421281 | + | 0.0211579i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 23.9463 | + | 3.60932i | 0.850356 | + | 0.128171i | ||||
\(794\) | 45.5159 | − | 31.0322i | 1.61530 | − | 1.10129i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 3.21694 | − | 2.98488i | 0.114021 | − | 0.105796i | ||||
\(797\) | −1.63719 | − | 2.05297i | −0.0579921 | − | 0.0727198i | 0.751989 | − | 0.659175i | \(-0.229094\pi\) |
−0.809982 | + | 0.586455i | \(0.800523\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −33.8341 | + | 42.4266i | −1.19696 | + | 1.50094i | ||||
\(800\) | −0.814483 | − | 10.8685i | −0.0287963 | − | 0.384260i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 7.22915 | − | 12.5213i | 0.255270 | − | 0.442141i | ||||
\(803\) | −7.65217 | − | 13.2539i | −0.270039 | − | 0.467722i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −3.18235 | − | 9.48165i | −0.112163 | − | 0.334184i | ||||
\(806\) | 0.568942 | − | 2.49270i | 0.0200401 | − | 0.0878015i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −1.60122 | − | 4.07984i | −0.0563307 | − | 0.143528i | ||||
\(809\) | −8.21399 | − | 20.9289i | −0.288789 | − | 0.735821i | −0.999478 | − | 0.0323151i | \(-0.989712\pi\) |
0.710689 | − | 0.703506i | \(-0.248383\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −0.265942 | + | 1.16517i | −0.00933848 | + | 0.0409146i | −0.979382 | − | 0.202015i | \(-0.935251\pi\) |
0.970044 | + | 0.242929i | \(0.0781083\pi\) | |||||||
\(812\) | −2.83798 | + | 0.283082i | −0.0995934 | + | 0.00993423i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 13.2850 | + | 23.0103i | 0.465639 | + | 0.806510i | ||||
\(815\) | 1.32474 | − | 2.29452i | 0.0464036 | − | 0.0803734i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 0.532920 | + | 7.11132i | 0.0186445 | + | 0.248794i | ||||
\(818\) | 37.0760 | − | 46.4919i | 1.29633 | − | 1.62555i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 3.33701 | + | 4.18448i | 0.116533 | + | 0.146128i | ||||
\(821\) | −9.54245 | + | 8.85410i | −0.333034 | + | 0.309010i | −0.828909 | − | 0.559384i | \(-0.811038\pi\) |
0.495875 | + | 0.868394i | \(0.334847\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −31.6425 | + | 21.5735i | −1.10299 | + | 0.752005i | −0.970960 | − | 0.239241i | \(-0.923101\pi\) |
−0.132028 | + | 0.991246i | \(0.542149\pi\) | |||||||
\(824\) | −1.86365 | − | 0.280901i | −0.0649234 | − | 0.00978563i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −9.93411 | + | 11.2496i | −0.345652 | + | 0.391423i | ||||
\(827\) | 31.6793 | + | 15.2559i | 1.10160 | + | 0.530501i | 0.894160 | − | 0.447747i | \(-0.147774\pi\) |
0.207437 | + | 0.978248i | \(0.433488\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −6.30110 | − | 5.84657i | −0.218846 | − | 0.203060i | 0.563129 | − | 0.826369i | \(-0.309597\pi\) |
−0.781976 | + | 0.623309i | \(0.785788\pi\) | |||||||
\(830\) | 0.907559 | − | 12.1105i | 0.0315018 | − | 0.420363i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −14.4570 | −0.501205 | ||||||||
\(833\) | 19.9124 | − | 27.6598i | 0.689925 | − | 0.958356i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.09238 | + | 12.9752i | −0.176229 | + | 0.449025i | ||||
\(836\) | −0.0855151 | + | 1.14112i | −0.00295760 | + | 0.0394664i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −17.9537 | − | 12.2406i | −0.620200 | − | 0.422845i | ||||
\(839\) | 39.0723 | + | 18.8162i | 1.34893 | + | 0.649608i | 0.962139 | − | 0.272561i | \(-0.0878706\pi\) |
0.386787 | + | 0.922169i | \(0.373585\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 21.7179 | − | 10.4588i | 0.748891 | − | 0.360647i | ||||
\(842\) | −34.3653 | − | 5.17973i | −1.18431 | − | 0.178505i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −4.36183 | + | 0.657440i | −0.150140 | + | 0.0226300i | ||||
\(845\) | −3.82640 | + | 3.55038i | −0.131632 | + | 0.122137i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 16.1868 | + | 12.2691i | 0.556186 | + | 0.421570i | ||||
\(848\) | −20.1299 | + | 25.2421i | −0.691264 | + | 0.866817i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −29.6273 | − | 9.13881i | −1.01621 | − | 0.313459i | ||||
\(851\) | 17.8080 | − | 30.8444i | 0.610450 | − | 1.05733i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 9.41102 | + | 41.2324i | 0.322227 | + | 1.41177i | 0.833580 | + | 0.552399i | \(0.186287\pi\) |
−0.511353 | + | 0.859371i | \(0.670855\pi\) | |||||||
\(854\) | −19.7938 | + | 30.6257i | −0.677330 | + | 1.04799i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 29.1119 | − | 8.97983i | 0.995024 | − | 0.306924i | ||||
\(857\) | −3.36529 | − | 8.57462i | −0.114956 | − | 0.292903i | 0.861803 | − | 0.507243i | \(-0.169335\pi\) |
−0.976759 | + | 0.214340i | \(0.931240\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −6.03607 | + | 1.86188i | −0.205948 | + | 0.0635266i | −0.396013 | − | 0.918245i | \(-0.629606\pi\) |
0.190065 | + | 0.981772i | \(0.439130\pi\) | |||||||
\(860\) | −0.588651 | + | 2.57905i | −0.0200728 | + | 0.0879449i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 4.76353 | + | 20.8704i | 0.162246 | + | 0.710848i | ||||
\(863\) | 6.05094 | + | 10.4805i | 0.205976 | + | 0.356761i | 0.950443 | − | 0.310898i | \(-0.100630\pi\) |
−0.744467 | + | 0.667659i | \(0.767296\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −12.8780 | − | 3.97234i | −0.437865 | − | 0.135064i | ||||
\(866\) | −1.64974 | − | 22.0143i | −0.0560605 | − | 0.748076i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0.601045 | + | 0.455571i | 0.0204008 | + | 0.0154631i | ||||
\(869\) | 4.09890 | + | 5.13986i | 0.139046 | + | 0.174358i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.90328 | + | 0.588324i | −0.132258 | + | 0.0199346i | ||||
\(872\) | 32.0359 | − | 21.8417i | 1.08487 | − | 0.739653i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 7.05495 | − | 3.39748i | 0.238637 | − | 0.114922i | ||||
\(875\) | 21.6164 | − | 9.10410i | 0.730769 | − | 0.307775i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 33.4776 | + | 22.8246i | 1.13046 | + | 0.770733i | 0.976109 | − | 0.217284i | \(-0.0697196\pi\) |
0.154349 | + | 0.988016i | \(0.450672\pi\) | |||||||
\(878\) | 47.2607 | + | 43.8515i | 1.59497 | + | 1.47992i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 3.09464 | − | 7.88502i | 0.104320 | − | 0.265804i | ||||
\(881\) | −7.37500 | −0.248470 | −0.124235 | − | 0.992253i | \(-0.539648\pi\) | ||||
−0.124235 | + | 0.992253i | \(0.539648\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −6.83587 | −0.230045 | −0.115023 | − | 0.993363i | \(-0.536694\pi\) | ||||
−0.115023 | + | 0.993363i | \(0.536694\pi\) | |||||||
\(884\) | 2.40158 | − | 6.11913i | 0.0807739 | − | 0.205809i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 38.1443 | + | 35.3928i | 1.28148 | + | 1.18904i | ||||
\(887\) | 36.0312 | + | 24.5657i | 1.20981 | + | 0.824835i | 0.988626 | − | 0.150397i | \(-0.0480553\pi\) |
0.221185 | + | 0.975232i | \(0.429008\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 13.5437 | − | 15.3372i | 0.454241 | − | 0.514392i | ||||
\(890\) | −13.2342 | + | 6.37325i | −0.443611 | + | 0.213632i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.9583 | + | 7.47121i | −0.366910 | + | 0.250155i | ||||
\(893\) | 14.1992 | − | 2.14019i | 0.475159 | − | 0.0716187i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.73748 | − | 3.43270i | −0.0915040 | − | 0.114742i | ||||
\(896\) | 14.8381 | − | 32.8572i | 0.495707 | − | 1.09768i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −1.03882 | − | 13.8621i | −0.0346659 | − | 0.462585i | ||||
\(899\) | 1.23691 | + | 0.381537i | 0.0412533 | + | 0.0127250i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 16.5920 | + | 28.7381i | 0.552758 | + | 0.957405i | ||||
\(902\) | −7.16416 | − | 31.3882i | −0.238540 | − | 1.04511i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 2.38045 | − | 10.4295i | 0.0791727 | − | 0.346878i | ||||
\(905\) | −6.60538 | + | 2.03749i | −0.219570 | + | 0.0677285i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 19.9294 | + | 50.7793i | 0.661745 | + | 1.68610i | 0.725579 | + | 0.688139i | \(0.241572\pi\) |
−0.0638339 | + | 0.997961i | \(0.520333\pi\) | |||||||
\(908\) | −8.09935 | + | 2.49832i | −0.268786 | + | 0.0829096i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.60880 | + | 10.7522i | 0.119631 | + | 0.356433i | ||||
\(911\) | −3.81557 | − | 16.7171i | −0.126415 | − | 0.553862i | −0.997977 | − | 0.0635761i | \(-0.979749\pi\) |
0.871562 | − | 0.490286i | \(-0.163108\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −7.15539 | + | 12.3935i | −0.236809 | + | 0.410165i | ||||
\(914\) | −34.5885 | − | 10.6691i | −1.14409 | − | 0.352904i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −3.73527 | + | 4.68388i | −0.123417 | + | 0.154760i | ||||
\(917\) | −0.482398 | + | 0.404522i | −0.0159302 | + | 0.0133585i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −36.6523 | + | 34.0083i | −1.20905 | + | 1.12183i | −0.219804 | + | 0.975544i | \(0.570542\pi\) |
−0.989242 | + | 0.146287i | \(0.953268\pi\) | |||||||
\(920\) | −8.91800 | + | 1.34417i | −0.294018 | + | 0.0443160i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 33.1823 | + | 5.00143i | 1.09280 | + | 0.164713i | ||||
\(923\) | 24.6647 | − | 11.8779i | 0.811847 | − | 0.390965i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 33.6215 | + | 16.1913i | 1.10547 | + | 0.532365i | ||||
\(926\) | −2.01307 | − | 1.37248i | −0.0661534 | − | 0.0451026i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −0.446285 | + | 5.95527i | −0.0146500 | + | 0.195491i | ||||
\(929\) | 8.86963 | − | 22.5994i | 0.291003 | − | 0.741464i | −0.708363 | − | 0.705849i | \(-0.750566\pi\) |
0.999366 | − | 0.0356149i | \(-0.0113390\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −8.84093 | + | 1.78145i | −0.289750 | + | 0.0583847i | ||||
\(932\) | −12.9926 | −0.425587 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.157564 | + | 2.10254i | −0.00515564 | + | 0.0687972i | ||||
\(935\) | −6.38207 | − | 5.92170i | −0.208716 | − | 0.193660i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −22.6593 | − | 10.9121i | −0.740246 | − | 0.356484i | 0.0254587 | − | 0.999676i | \(-0.491895\pi\) |
−0.765705 | + | 0.643192i | \(0.777610\pi\) | |||||||
\(938\) | 1.61165 | − | 5.72126i | 0.0526223 | − | 0.186806i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 5.26727 | + | 0.793913i | 0.171799 | + | 0.0258946i | ||||
\(941\) | −23.2468 | + | 15.8494i | −0.757823 | + | 0.516675i | −0.879502 | − | 0.475895i | \(-0.842124\pi\) |
0.121680 | + | 0.992569i | \(0.461172\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −31.6361 | + | 29.3540i | −1.03021 | + | 0.955899i | ||||
\(944\) | 10.6232 | + | 13.3210i | 0.345755 | + | 0.433563i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 9.92164 | − | 12.4413i | 0.322580 | − | 0.404503i | ||||
\(947\) | 3.95065 | + | 52.7177i | 0.128379 | + | 1.71310i | 0.574817 | + | 0.818282i | \(0.305073\pi\) |
−0.446438 | + | 0.894815i | \(0.647308\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 11.6320 | − | 20.1472i | 0.377590 | − | 0.654005i | ||||
\(950\) | 4.10219 | + | 7.10521i | 0.133093 | + | 0.230523i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −21.4520 | − | 22.0075i | −0.695263 | − | 0.713266i | ||||
\(953\) | −7.34553 | + | 32.1829i | −0.237945 | + | 1.04251i | 0.704909 | + | 0.709298i | \(0.250988\pi\) |
−0.942854 | + | 0.333207i | \(0.891869\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −6.87747 | − | 17.5235i | −0.222550 | − | 0.567048i | ||||
\(956\) | 3.16764 | + | 8.07102i | 0.102449 | + | 0.261035i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −4.18116 | + | 18.3188i | −0.135087 | + | 0.591855i | ||||
\(959\) | 21.4124 | + | 7.80108i | 0.691441 | + | 0.251910i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 15.3289 | + | 26.5504i | 0.494479 | + | 0.856463i | ||||
\(962\) | −20.1944 | + | 34.9777i | −0.651093 | + | 1.12773i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.196081 | + | 2.61651i | 0.00631533 | + | 0.0842723i | ||||
\(965\) | −13.8541 | + | 17.3724i | −0.445978 | + | 0.559239i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −29.1688 | − | 36.5766i | −0.938007 | − | 1.17622i | −0.984159 | − | 0.177289i | \(-0.943267\pi\) |
0.0461521 | − | 0.998934i | \(-0.485304\pi\) | |||||||
\(968\) | 13.4261 | − | 12.4576i | 0.431533 | − | 0.400404i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.78354 | + | 1.89778i | −0.0893740 | + | 0.0609342i | ||||
\(971\) | −7.62194 | − | 1.14882i | −0.244600 | − | 0.0368675i | 0.0255981 | − | 0.999672i | \(-0.491851\pi\) |
−0.270198 | + | 0.962805i | \(0.587089\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −42.5317 | − | 23.1789i | −1.36350 | − | 0.743081i | ||||
\(974\) | 5.05271 | + | 2.43326i | 0.161899 | + | 0.0779665i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 30.3472 | + | 28.1581i | 0.971390 | + | 0.901318i | ||||
\(977\) | 0.569471 | − | 7.59906i | 0.0182190 | − | 0.243116i | −0.980658 | − | 0.195731i | \(-0.937292\pi\) |
0.998877 | − | 0.0473850i | \(-0.0150888\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 17.3090 | 0.553197 | ||||||||
\(980\) | −3.32867 | − | 0.335196i | −0.106330 | − | 0.0107074i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 2.13809 | − | 5.44778i | 0.0682293 | − | 0.173846i | ||||
\(983\) | 1.78661 | − | 23.8407i | 0.0569841 | − | 0.760399i | −0.893388 | − | 0.449285i | \(-0.851679\pi\) |
0.950372 | − | 0.311114i | \(-0.100702\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.83545 | − | 1.93318i | −0.0903450 | − | 0.0615962i | ||||
\(986\) | 15.3063 | + | 7.37110i | 0.487450 | + | 0.234744i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −1.56721 | + | 0.754727i | −0.0498595 | + | 0.0240111i | ||||
\(989\) | −21.0926 | − | 3.17920i | −0.670705 | − | 0.101093i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −29.2692 | + | 4.41162i | −0.929766 | + | 0.140140i | −0.596427 | − | 0.802667i | \(-0.703414\pi\) |
−0.333339 | + | 0.942807i | \(0.608175\pi\) | |||||||
\(992\) | 1.15764 | − | 1.07413i | 0.0367551 | − | 0.0341038i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 1.01475 | + | 41.2097i | 0.0321860 | + | 1.30709i | ||||
\(995\) | 5.50851 | − | 6.90746i | 0.174632 | − | 0.218981i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −33.1407 | − | 10.2225i | −1.04958 | − | 0.323751i | −0.278461 | − | 0.960447i | \(-0.589824\pi\) |
−0.771115 | + | 0.636696i | \(0.780301\pi\) | |||||||
\(998\) | −24.4606 | + | 42.3670i | −0.774287 | + | 1.34111i | ||||
\(999\) | 0 | 0 |
(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 | 441.2.bb.f.46.2 | ✓ | 72 | |
3.2 | odd | 2 | inner | 441.2.bb.f.46.5 | yes | 72 | |
49.16 | even | 21 | inner | 441.2.bb.f.163.2 | yes | 72 | |
147.65 | odd | 42 | inner | 441.2.bb.f.163.5 | yes | 72 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bb.f.46.2 | ✓ | 72 | 1.1 | even | 1 | trivial | |
441.2.bb.f.46.5 | yes | 72 | 3.2 | odd | 2 | inner | |
441.2.bb.f.163.2 | yes | 72 | 49.16 | even | 21 | inner | |
441.2.bb.f.163.5 | yes | 72 | 147.65 | odd | 42 | inner |