Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [72,2,Mod(13,72)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(72, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("72.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 72 = 2^{3} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 72.n (of order \(6\), degree \(2\), 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: | \(0.574922894553\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - x^{15} + x^{14} + 2 x^{12} - 4 x^{11} - 8 x^{9} + 4 x^{8} - 16 x^{7} - 32 x^{5} + 32 x^{4} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 61.2 | ||
Root | \(-0.179748 + 1.40274i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.61 |
Dual form | 72.2.n.b.13.2 |
$q$-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 \(\left(\mathbb{Z}/72\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(55\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.12494 | + | 0.857038i | −0.795451 | + | 0.606018i | ||||
\(3\) | −0.986088 | − | 1.42395i | −0.569318 | − | 0.822117i | ||||
\(4\) | 0.530970 | − | 1.92823i | 0.265485 | − | 0.964115i | ||||
\(5\) | 1.19115 | − | 0.687709i | 0.532697 | − | 0.307553i | −0.209417 | − | 0.977826i | \(-0.567157\pi\) |
0.742114 | + | 0.670274i | \(0.233823\pi\) | |||||||
\(6\) | 2.32967 | + | 0.756738i | 0.951083 | + | 0.308937i | ||||
\(7\) | 1.80469 | − | 3.12581i | 0.682107 | − | 1.18144i | −0.292229 | − | 0.956348i | \(-0.594397\pi\) |
0.974337 | − | 0.225096i | \(-0.0722696\pi\) | |||||||
\(8\) | 1.05526 | + | 2.62420i | 0.373090 | + | 0.927795i | ||||
\(9\) | −1.05526 | + | 2.80828i | −0.351753 | + | 0.936093i | ||||
\(10\) | −0.750573 | + | 1.79449i | −0.237352 | + | 0.567467i | ||||
\(11\) | −1.83294 | − | 1.05825i | −0.552652 | − | 0.319074i | 0.197539 | − | 0.980295i | \(-0.436705\pi\) |
−0.750191 | + | 0.661221i | \(0.770039\pi\) | |||||||
\(12\) | −3.26928 | + | 1.14533i | −0.943761 | + | 0.330629i | ||||
\(13\) | 0.887751 | − | 0.512543i | 0.246218 | − | 0.142154i | −0.371813 | − | 0.928307i | \(-0.621264\pi\) |
0.618031 | + | 0.786154i | \(0.287931\pi\) | |||||||
\(14\) | 0.648778 | + | 5.06302i | 0.173393 | + | 1.35315i | ||||
\(15\) | −2.15384 | − | 1.01799i | −0.556119 | − | 0.262844i | ||||
\(16\) | −3.43614 | − | 2.04766i | −0.859035 | − | 0.511916i | ||||
\(17\) | 0.808822 | 0.196168 | 0.0980841 | − | 0.995178i | \(-0.468729\pi\) | ||||
0.0980841 | + | 0.995178i | \(0.468729\pi\) | |||||||
\(18\) | −1.21970 | − | 4.06354i | −0.287487 | − | 0.957785i | ||||
\(19\) | 7.43122i | 1.70484i | 0.522858 | + | 0.852420i | \(0.324866\pi\) | ||||
−0.522858 | + | 0.852420i | \(0.675134\pi\) | |||||||
\(20\) | −0.693598 | − | 2.66196i | −0.155093 | − | 0.595232i | ||||
\(21\) | −6.23057 | + | 0.512543i | −1.35962 | + | 0.111846i | ||||
\(22\) | 2.96890 | − | 0.380437i | 0.632972 | − | 0.0811093i | ||||
\(23\) | −1.65498 | − | 2.86652i | −0.345088 | − | 0.597710i | 0.640282 | − | 0.768140i | \(-0.278818\pi\) |
−0.985370 | + | 0.170430i | \(0.945484\pi\) | |||||||
\(24\) | 2.69615 | − | 4.09033i | 0.550349 | − | 0.834935i | ||||
\(25\) | −1.55411 | + | 2.69180i | −0.310823 | + | 0.538361i | ||||
\(26\) | −0.559395 | + | 1.33742i | −0.109706 | + | 0.262289i | ||||
\(27\) | 5.03942 | − | 1.26658i | 0.969837 | − | 0.243753i | ||||
\(28\) | −5.06904 | − | 5.13956i | −0.957959 | − | 0.971286i | ||||
\(29\) | 7.71083 | + | 4.45185i | 1.43187 | + | 0.826688i | 0.997263 | − | 0.0739344i | \(-0.0235555\pi\) |
0.434603 | + | 0.900622i | \(0.356889\pi\) | |||||||
\(30\) | 3.29539 | − | 0.700747i | 0.601653 | − | 0.127938i | ||||
\(31\) | 3.26436 | + | 5.65403i | 0.586296 | + | 1.01549i | 0.994713 | + | 0.102698i | \(0.0327476\pi\) |
−0.408417 | + | 0.912796i | \(0.633919\pi\) | |||||||
\(32\) | 5.62037 | − | 0.641410i | 0.993551 | − | 0.113386i | ||||
\(33\) | 0.300550 | + | 3.65354i | 0.0523190 | + | 0.636000i | ||||
\(34\) | −0.909875 | + | 0.693192i | −0.156042 | + | 0.118881i | ||||
\(35\) | − | 4.96439i | − | 0.839136i | ||||||
\(36\) | 4.85470 | + | 3.52589i | 0.809116 | + | 0.587649i | ||||
\(37\) | − | 4.01531i | − | 0.660113i | −0.943961 | − | 0.330057i | \(-0.892932\pi\) | ||
0.943961 | − | 0.330057i | \(-0.107068\pi\) | |||||||
\(38\) | −6.36884 | − | 8.35966i | −1.03316 | − | 1.35612i | ||||
\(39\) | −1.60524 | − | 0.758698i | −0.257043 | − | 0.121489i | ||||
\(40\) | 3.06165 | + | 2.40010i | 0.484090 | + | 0.379489i | ||||
\(41\) | −3.45852 | − | 5.99034i | −0.540131 | − | 0.935534i | −0.998896 | − | 0.0469764i | \(-0.985041\pi\) |
0.458765 | − | 0.888557i | \(-0.348292\pi\) | |||||||
\(42\) | 6.56973 | − | 5.91642i | 1.01373 | − | 0.912923i | ||||
\(43\) | 0.245957 | + | 0.142003i | 0.0375081 | + | 0.0216553i | 0.518637 | − | 0.854995i | \(-0.326440\pi\) |
−0.481129 | + | 0.876650i | \(0.659773\pi\) | |||||||
\(44\) | −3.01378 | + | 2.97243i | −0.454345 | + | 0.448111i | ||||
\(45\) | 0.674310 | + | 4.07078i | 0.100520 | + | 0.606836i | ||||
\(46\) | 4.31847 | + | 1.80627i | 0.636724 | + | 0.266320i | ||||
\(47\) | −3.61351 | + | 6.25878i | −0.527084 | + | 0.912937i | 0.472417 | + | 0.881375i | \(0.343381\pi\) |
−0.999502 | + | 0.0315619i | \(0.989952\pi\) | |||||||
\(48\) | 0.472570 | + | 6.91207i | 0.0682096 | + | 0.997671i | ||||
\(49\) | −3.01378 | − | 5.22003i | −0.430540 | − | 0.745718i | ||||
\(50\) | −0.558698 | − | 4.36005i | −0.0790118 | − | 0.616604i | ||||
\(51\) | −0.797570 | − | 1.15172i | −0.111682 | − | 0.161273i | ||||
\(52\) | −0.516932 | − | 1.98393i | −0.0716856 | − | 0.275122i | ||||
\(53\) | − | 3.86330i | − | 0.530666i | −0.964157 | − | 0.265333i | \(-0.914518\pi\) | ||
0.964157 | − | 0.265333i | \(-0.0854818\pi\) | |||||||
\(54\) | −4.58353 | + | 5.74380i | −0.623740 | + | 0.781632i | ||||
\(55\) | −2.91107 | −0.392528 | ||||||||
\(56\) | 10.1072 | + | 1.43732i | 1.35063 | + | 0.192070i | ||||
\(57\) | 10.5817 | − | 7.32784i | 1.40158 | − | 0.970597i | ||||
\(58\) | −12.4896 | + | 1.60042i | −1.63997 | + | 0.210146i | ||||
\(59\) | −7.06904 | + | 4.08131i | −0.920310 | + | 0.531341i | −0.883734 | − | 0.467989i | \(-0.844979\pi\) |
−0.0365764 | + | 0.999331i | \(0.511645\pi\) | |||||||
\(60\) | −3.10654 | + | 3.61257i | −0.401053 | + | 0.466381i | ||||
\(61\) | −6.31237 | − | 3.64445i | −0.808216 | − | 0.466624i | 0.0381201 | − | 0.999273i | \(-0.487863\pi\) |
−0.846336 | + | 0.532650i | \(0.821196\pi\) | |||||||
\(62\) | −8.51792 | − | 3.56275i | −1.08178 | − | 0.452470i | ||||
\(63\) | 6.87373 | + | 8.36660i | 0.866008 | + | 1.05409i | ||||
\(64\) | −5.77286 | + | 5.53842i | −0.721607 | + | 0.692303i | ||||
\(65\) | 0.704961 | − | 1.22103i | 0.0874396 | − | 0.151450i | ||||
\(66\) | −3.46932 | − | 3.85242i | −0.427044 | − | 0.474200i | ||||
\(67\) | 2.43973 | − | 1.40858i | 0.298061 | − | 0.172085i | −0.343511 | − | 0.939149i | \(-0.611616\pi\) |
0.641571 | + | 0.767063i | \(0.278283\pi\) | |||||||
\(68\) | 0.429460 | − | 1.55960i | 0.0520797 | − | 0.189129i | ||||
\(69\) | −2.44981 | + | 5.18325i | −0.294923 | + | 0.623990i | ||||
\(70\) | 4.25468 | + | 5.58463i | 0.508531 | + | 0.667492i | ||||
\(71\) | 4.69830 | 0.557586 | 0.278793 | − | 0.960351i | \(-0.410066\pi\) | ||||
0.278793 | + | 0.960351i | \(0.410066\pi\) | |||||||
\(72\) | −8.48306 | + | 0.194250i | −0.999738 | + | 0.0228926i | ||||
\(73\) | 0.409922 | 0.0479777 | 0.0239889 | − | 0.999712i | \(-0.492363\pi\) | ||||
0.0239889 | + | 0.999712i | \(0.492363\pi\) | |||||||
\(74\) | 3.44128 | + | 4.51698i | 0.400040 | + | 0.525088i | ||||
\(75\) | 5.36548 | − | 0.441379i | 0.619552 | − | 0.0509660i | ||||
\(76\) | 14.3291 | + | 3.94576i | 1.64366 | + | 0.452609i | ||||
\(77\) | −6.61576 | + | 3.81961i | −0.753936 | + | 0.435285i | ||||
\(78\) | 2.45602 | − | 0.522260i | 0.278090 | − | 0.0591343i | ||||
\(79\) | −0.0456121 | + | 0.0790024i | −0.00513176 | + | 0.00888847i | −0.868580 | − | 0.495549i | \(-0.834967\pi\) |
0.863448 | + | 0.504438i | \(0.168300\pi\) | |||||||
\(80\) | −5.50115 | − | 0.0760042i | −0.615047 | − | 0.00849752i | ||||
\(81\) | −6.77286 | − | 5.92692i | −0.752540 | − | 0.658547i | ||||
\(82\) | 9.02458 | + | 3.77467i | 0.996598 | + | 0.416843i | ||||
\(83\) | 2.40891 | + | 1.39079i | 0.264412 | + | 0.152659i | 0.626346 | − | 0.779545i | \(-0.284550\pi\) |
−0.361933 | + | 0.932204i | \(0.617883\pi\) | |||||||
\(84\) | −2.31995 | + | 12.2861i | −0.253127 | + | 1.34053i | ||||
\(85\) | 0.963426 | − | 0.556234i | 0.104498 | − | 0.0603321i | ||||
\(86\) | −0.398389 | + | 0.0510497i | −0.0429594 | + | 0.00550483i | ||||
\(87\) | −1.26436 | − | 15.3697i | −0.135553 | − | 1.64781i | ||||
\(88\) | 0.842830 | − | 5.92673i | 0.0898460 | − | 0.631791i | ||||
\(89\) | 8.91934 | 0.945448 | 0.472724 | − | 0.881210i | \(-0.343271\pi\) | ||||
0.472724 | + | 0.881210i | \(0.343271\pi\) | |||||||
\(90\) | −4.24737 | − | 4.00147i | −0.447713 | − | 0.421792i | ||||
\(91\) | − | 3.69992i | − | 0.387857i | ||||||
\(92\) | −6.40605 | + | 1.66916i | −0.667877 | + | 0.174021i | ||||
\(93\) | 4.83210 | − | 10.2236i | 0.501066 | − | 1.06014i | ||||
\(94\) | −1.29904 | − | 10.1377i | −0.133986 | − | 1.04562i | ||||
\(95\) | 5.11052 | + | 8.85168i | 0.524328 | + | 0.908163i | ||||
\(96\) | −6.45552 | − | 7.37064i | −0.658864 | − | 0.752262i | ||||
\(97\) | −2.76022 | + | 4.78084i | −0.280258 | + | 0.485421i | −0.971448 | − | 0.237252i | \(-0.923753\pi\) |
0.691190 | + | 0.722673i | \(0.257087\pi\) | |||||||
\(98\) | 7.86408 | + | 3.28928i | 0.794392 | + | 0.332267i | ||||
\(99\) | 4.90608 | − | 4.03068i | 0.493080 | − | 0.405099i | ||||
\(100\) | 4.36523 | + | 4.42595i | 0.436523 | + | 0.442595i | ||||
\(101\) | −5.63193 | − | 3.25160i | −0.560398 | − | 0.323546i | 0.192907 | − | 0.981217i | \(-0.438208\pi\) |
−0.753305 | + | 0.657671i | \(0.771542\pi\) | |||||||
\(102\) | 1.88429 | + | 0.612066i | 0.186572 | + | 0.0606036i | ||||
\(103\) | −1.50528 | − | 2.60723i | −0.148320 | − | 0.256898i | 0.782287 | − | 0.622918i | \(-0.214053\pi\) |
−0.930607 | + | 0.366021i | \(0.880720\pi\) | |||||||
\(104\) | 2.28182 | + | 1.78877i | 0.223751 | + | 0.175403i | ||||
\(105\) | −7.06904 | + | 4.89533i | −0.689868 | + | 0.477735i | ||||
\(106\) | 3.31100 | + | 4.34598i | 0.321593 | + | 0.422119i | ||||
\(107\) | − | 0.447393i | − | 0.0432511i | −0.999766 | − | 0.0216256i | \(-0.993116\pi\) | ||
0.999766 | − | 0.0216256i | \(-0.00688417\pi\) | |||||||
\(108\) | 0.233532 | − | 10.3897i | 0.0224716 | − | 0.999747i | ||||
\(109\) | − | 9.36497i | − | 0.897002i | −0.893782 | − | 0.448501i | \(-0.851958\pi\) | ||
0.893782 | − | 0.448501i | \(-0.148042\pi\) | |||||||
\(110\) | 3.27477 | − | 2.49490i | 0.312237 | − | 0.237879i | ||||
\(111\) | −5.71760 | + | 3.95945i | −0.542690 | + | 0.375815i | ||||
\(112\) | −12.6018 | + | 7.04533i | −1.19075 | + | 0.665721i | ||||
\(113\) | 5.66349 | + | 9.80944i | 0.532776 | + | 0.922795i | 0.999267 | + | 0.0382692i | \(0.0121844\pi\) |
−0.466492 | + | 0.884526i | \(0.654482\pi\) | |||||||
\(114\) | −5.62349 | + | 17.3123i | −0.526688 | + | 1.62144i | ||||
\(115\) | −3.94266 | − | 2.27629i | −0.367655 | − | 0.212266i | ||||
\(116\) | 12.6784 | − | 12.5045i | 1.17716 | − | 1.16101i | ||||
\(117\) | 0.502557 | + | 3.03392i | 0.0464614 | + | 0.280486i | ||||
\(118\) | 4.45439 | − | 10.6497i | 0.410060 | − | 0.980381i | ||||
\(119\) | 1.45967 | − | 2.52822i | 0.133808 | − | 0.231762i | ||||
\(120\) | 0.398552 | − | 6.72635i | 0.0363827 | − | 0.614029i | ||||
\(121\) | −3.26022 | − | 5.64687i | −0.296384 | − | 0.513351i | ||||
\(122\) | 10.2245 | − | 1.31017i | 0.925678 | − | 0.118617i | ||||
\(123\) | −5.11952 | + | 10.8318i | −0.461612 | + | 0.976667i | ||||
\(124\) | 12.6355 | − | 3.29231i | 1.13471 | − | 0.295658i | ||||
\(125\) | 11.1522i | 0.997483i | ||||||||
\(126\) | −14.9030 | − | 3.52085i | −1.32767 | − | 0.313662i | ||||
\(127\) | −11.8341 | −1.05011 | −0.525053 | − | 0.851069i | \(-0.675955\pi\) | ||||
−0.525053 | + | 0.851069i | \(0.675955\pi\) | |||||||
\(128\) | 1.74746 | − | 11.1779i | 0.154455 | − | 0.988000i | ||||
\(129\) | −0.0403299 | − | 0.490258i | −0.00355085 | − | 0.0431648i | ||||
\(130\) | 0.253431 | + | 1.97776i | 0.0222274 | + | 0.173461i | ||||
\(131\) | −2.40891 | + | 1.39079i | −0.210468 | + | 0.121514i | −0.601529 | − | 0.798851i | \(-0.705441\pi\) |
0.391061 | + | 0.920365i | \(0.372108\pi\) | |||||||
\(132\) | 7.20445 | + | 1.36039i | 0.627067 | + | 0.118407i | ||||
\(133\) | 23.2286 | + | 13.4110i | 2.01417 | + | 1.16288i | ||||
\(134\) | −1.53734 | + | 3.67551i | −0.132806 | + | 0.317516i | ||||
\(135\) | 5.13166 | − | 4.97433i | 0.441663 | − | 0.428123i | ||||
\(136\) | 0.853517 | + | 2.12251i | 0.0731885 | + | 0.182004i | ||||
\(137\) | −8.17841 | + | 14.1654i | −0.698729 | + | 1.21023i | 0.270178 | + | 0.962810i | \(0.412917\pi\) |
−0.968907 | + | 0.247424i | \(0.920416\pi\) | |||||||
\(138\) | −1.68636 | − | 7.93042i | −0.143553 | − | 0.675082i | ||||
\(139\) | −1.22979 | + | 0.710017i | −0.104309 | + | 0.0602229i | −0.551247 | − | 0.834342i | \(-0.685848\pi\) |
0.446938 | + | 0.894565i | \(0.352514\pi\) | |||||||
\(140\) | −9.57249 | − | 2.63594i | −0.809023 | − | 0.222778i | ||||
\(141\) | 12.4754 | − | 1.02626i | 1.05062 | − | 0.0864268i | ||||
\(142\) | −5.28530 | + | 4.02663i | −0.443533 | + | 0.337907i | ||||
\(143\) | −2.16959 | −0.181430 | ||||||||
\(144\) | 9.37643 | − | 7.48883i | 0.781369 | − | 0.624069i | ||||
\(145\) | 12.2463 | 1.01700 | ||||||||
\(146\) | −0.461137 | + | 0.351319i | −0.0381639 | + | 0.0290753i | ||||
\(147\) | −4.46119 | + | 9.43888i | −0.367953 | + | 0.778506i | ||||
\(148\) | −7.74245 | − | 2.13201i | −0.636425 | − | 0.175250i | ||||
\(149\) | 4.91390 | − | 2.83704i | 0.402563 | − | 0.232420i | −0.285027 | − | 0.958520i | \(-0.592002\pi\) |
0.687589 | + | 0.726100i | \(0.258669\pi\) | |||||||
\(150\) | −5.65755 | + | 5.09495i | −0.461937 | + | 0.416001i | ||||
\(151\) | 7.07318 | − | 12.2511i | 0.575607 | − | 0.996981i | −0.420368 | − | 0.907354i | \(-0.638099\pi\) |
0.995975 | − | 0.0896271i | \(-0.0285675\pi\) | |||||||
\(152\) | −19.5010 | + | 7.84186i | −1.58174 | + | 0.636059i | ||||
\(153\) | −0.853517 | + | 2.27140i | −0.0690027 | + | 0.183632i | ||||
\(154\) | 4.16877 | − | 9.96679i | 0.335929 | − | 0.803147i | ||||
\(155\) | 7.77665 | + | 4.48985i | 0.624636 | + | 0.360634i | ||||
\(156\) | −2.31528 | + | 2.69242i | −0.185371 | + | 0.215566i | ||||
\(157\) | −18.6713 | + | 10.7799i | −1.49013 | + | 0.860328i | −0.999936 | − | 0.0112838i | \(-0.996408\pi\) |
−0.490196 | + | 0.871612i | \(0.663075\pi\) | |||||||
\(158\) | −0.0163974 | − | 0.127964i | −0.00130451 | − | 0.0101803i | ||||
\(159\) | −5.50115 | + | 3.80956i | −0.436269 | + | 0.302118i | ||||
\(160\) | 6.25359 | − | 4.62919i | 0.494389 | − | 0.365970i | ||||
\(161\) | −11.9469 | −0.941548 | ||||||||
\(162\) | 12.6986 | + | 0.862820i | 0.997700 | + | 0.0677895i | ||||
\(163\) | − | 14.9239i | − | 1.16893i | −0.811418 | − | 0.584466i | \(-0.801304\pi\) | ||
0.811418 | − | 0.584466i | \(-0.198696\pi\) | |||||||
\(164\) | −13.3871 | + | 3.48814i | −1.04536 | + | 0.272378i | ||||
\(165\) | 2.87057 | + | 4.14521i | 0.223474 | + | 0.322704i | ||||
\(166\) | −3.90183 | + | 0.499983i | −0.302841 | + | 0.0388062i | ||||
\(167\) | −11.0234 | − | 19.0931i | −0.853019 | − | 1.47747i | −0.878471 | − | 0.477796i | \(-0.841436\pi\) |
0.0254524 | − | 0.999676i | \(-0.491897\pi\) | |||||||
\(168\) | −7.91988 | − | 15.8094i | −0.611032 | − | 1.21972i | ||||
\(169\) | −5.97460 | + | 10.3483i | −0.459585 | + | 0.796024i | ||||
\(170\) | −0.607080 | + | 1.45142i | −0.0465609 | + | 0.111319i | ||||
\(171\) | −20.8689 | − | 7.84186i | −1.59589 | − | 0.599682i | ||||
\(172\) | 0.404411 | − | 0.398862i | 0.0308361 | − | 0.0304130i | ||||
\(173\) | −10.9052 | − | 6.29612i | −0.829107 | − | 0.478685i | 0.0244397 | − | 0.999701i | \(-0.492220\pi\) |
−0.853547 | + | 0.521016i | \(0.825553\pi\) | |||||||
\(174\) | 14.5948 | + | 16.2064i | 1.10643 | + | 1.22860i | ||||
\(175\) | 5.60937 | + | 9.71572i | 0.424029 | + | 0.734439i | ||||
\(176\) | 4.13130 | + | 7.38954i | 0.311409 | + | 0.557007i | ||||
\(177\) | 12.7823 | + | 6.04141i | 0.960775 | + | 0.454100i | ||||
\(178\) | −10.0337 | + | 7.64422i | −0.752058 | + | 0.572958i | ||||
\(179\) | 12.1116i | 0.905264i | 0.891697 | + | 0.452632i | \(0.149515\pi\) | ||||
−0.891697 | + | 0.452632i | \(0.850485\pi\) | |||||||
\(180\) | 8.20744 | + | 0.861239i | 0.611747 | + | 0.0641930i | ||||
\(181\) | 17.6790i | 1.31407i | 0.753862 | + | 0.657033i | \(0.228189\pi\) | ||||
−0.753862 | + | 0.657033i | \(0.771811\pi\) | |||||||
\(182\) | 3.17097 | + | 4.16218i | 0.235048 | + | 0.308521i | ||||
\(183\) | 1.03505 | + | 12.5822i | 0.0765129 | + | 0.930105i | ||||
\(184\) | 5.77588 | − | 7.36793i | 0.425803 | − | 0.543171i | ||||
\(185\) | −2.76137 | − | 4.78283i | −0.203020 | − | 0.351640i | ||||
\(186\) | 3.32624 | + | 15.6423i | 0.243892 | + | 1.14695i | ||||
\(187\) | −1.48252 | − | 0.855935i | −0.108413 | − | 0.0625922i | ||||
\(188\) | 10.1497 | + | 10.2909i | 0.740243 | + | 0.750541i | ||||
\(189\) | 5.13550 | − | 18.0380i | 0.373553 | − | 1.31207i | ||||
\(190\) | −13.3352 | − | 5.57768i | −0.967440 | − | 0.404647i | ||||
\(191\) | 9.72173 | − | 16.8385i | 0.703440 | − | 1.21839i | −0.263812 | − | 0.964574i | \(-0.584980\pi\) |
0.967252 | − | 0.253820i | \(-0.0816870\pi\) | |||||||
\(192\) | 13.5790 | + | 2.75888i | 0.979978 | + | 0.199105i | ||||
\(193\) | 0.159120 | + | 0.275604i | 0.0114537 | + | 0.0198384i | 0.871695 | − | 0.490048i | \(-0.163021\pi\) |
−0.860242 | + | 0.509886i | \(0.829687\pi\) | |||||||
\(194\) | −0.992289 | − | 7.74376i | −0.0712422 | − | 0.555970i | ||||
\(195\) | −2.43384 | + | 0.200214i | −0.174291 | + | 0.0143376i | ||||
\(196\) | −11.6656 | + | 3.03959i | −0.833260 | + | 0.217114i | ||||
\(197\) | − | 24.5066i | − | 1.74602i | −0.487701 | − | 0.873011i | \(-0.662164\pi\) | ||
0.487701 | − | 0.873011i | \(-0.337836\pi\) | |||||||
\(198\) | −2.06459 | + | 8.73897i | −0.146724 | + | 0.621051i | ||||
\(199\) | −7.13579 | −0.505843 | −0.252921 | − | 0.967487i | \(-0.581391\pi\) | ||||
−0.252921 | + | 0.967487i | \(0.581391\pi\) | |||||||
\(200\) | −8.70382 | − | 1.23776i | −0.615453 | − | 0.0875225i | ||||
\(201\) | −4.41154 | − | 2.08507i | −0.311166 | − | 0.147069i | ||||
\(202\) | 9.12232 | − | 1.16894i | 0.641844 | − | 0.0822462i | ||||
\(203\) | 27.8313 | − | 16.0684i | 1.95337 | − | 1.12778i | ||||
\(204\) | −2.64427 | + | 0.926369i | −0.185136 | + | 0.0648588i | ||||
\(205\) | −8.23922 | − | 4.75692i | −0.575452 | − | 0.332237i | ||||
\(206\) | 3.92784 | + | 1.64288i | 0.273666 | + | 0.114465i | ||||
\(207\) | 9.79641 | − | 1.62274i | 0.680898 | − | 0.112788i | ||||
\(208\) | −4.09995 | − | 0.0566452i | −0.284281 | − | 0.00392764i | ||||
\(209\) | 7.86408 | − | 13.6210i | 0.543970 | − | 0.942183i | ||||
\(210\) | 3.75674 | − | 11.5654i | 0.259240 | − | 0.798087i | ||||
\(211\) | 7.00175 | − | 4.04246i | 0.482020 | − | 0.278294i | −0.239238 | − | 0.970961i | \(-0.576898\pi\) |
0.721258 | + | 0.692667i | \(0.243564\pi\) | |||||||
\(212\) | −7.44934 | − | 2.05130i | −0.511623 | − | 0.140884i | ||||
\(213\) | −4.63294 | − | 6.69014i | −0.317444 | − | 0.458401i | ||||
\(214\) | 0.383433 | + | 0.503289i | 0.0262109 | + | 0.0344042i | ||||
\(215\) | 0.390628 | 0.0266406 | ||||||||
\(216\) | 8.64165 | + | 11.8879i | 0.587990 | + | 0.808868i | ||||
\(217\) | 23.5646 | 1.59967 | ||||||||
\(218\) | 8.02614 | + | 10.5350i | 0.543599 | + | 0.713521i | ||||
\(219\) | −0.404219 | − | 0.583708i | −0.0273146 | − | 0.0394433i | ||||
\(220\) | −1.54569 | + | 5.61321i | −0.104210 | + | 0.378442i | ||||
\(221\) | 0.718032 | − | 0.414556i | 0.0483001 | − | 0.0278861i | ||||
\(222\) | 3.03854 | − | 9.35434i | 0.203933 | − | 0.627822i | ||||
\(223\) | −2.11236 | + | 3.65872i | −0.141454 | + | 0.245006i | −0.928044 | − | 0.372469i | \(-0.878511\pi\) |
0.786590 | + | 0.617475i | \(0.211844\pi\) | |||||||
\(224\) | 8.13808 | − | 18.7257i | 0.543749 | − | 1.25117i | ||||
\(225\) | −5.91934 | − | 7.20493i | −0.394623 | − | 0.480329i | ||||
\(226\) | −14.7781 | − | 6.18119i | −0.983027 | − | 0.411167i | ||||
\(227\) | −1.09451 | − | 0.631913i | −0.0726449 | − | 0.0419415i | 0.463238 | − | 0.886234i | \(-0.346688\pi\) |
−0.535882 | + | 0.844293i | \(0.680021\pi\) | |||||||
\(228\) | −8.51121 | − | 24.2948i | −0.563669 | − | 1.60896i | ||||
\(229\) | 6.29196 | − | 3.63267i | 0.415785 | − | 0.240053i | −0.277487 | − | 0.960729i | \(-0.589502\pi\) |
0.693272 | + | 0.720676i | \(0.256168\pi\) | |||||||
\(230\) | 6.38612 | − | 0.818320i | 0.421088 | − | 0.0539584i | ||||
\(231\) | 11.9627 | + | 5.65403i | 0.787085 | + | 0.372008i | ||||
\(232\) | −3.54563 | + | 24.9326i | −0.232782 | + | 1.63691i | ||||
\(233\) | −5.91061 | −0.387217 | −0.193608 | − | 0.981079i | \(-0.562019\pi\) | ||||
−0.193608 | + | 0.981079i | \(0.562019\pi\) | |||||||
\(234\) | −3.16553 | − | 2.98226i | −0.206937 | − | 0.194956i | ||||
\(235\) | 9.94017i | 0.648425i | ||||||||
\(236\) | 4.11626 | + | 15.7978i | 0.267946 | + | 1.02835i | ||||
\(237\) | 0.157473 | − | 0.0129541i | 0.0102290 | − | 0.000841462i | ||||
\(238\) | 0.524746 | + | 4.09509i | 0.0340142 | + | 0.265445i | ||||
\(239\) | 5.96266 | + | 10.3276i | 0.385692 | + | 0.668039i | 0.991865 | − | 0.127294i | \(-0.0406293\pi\) |
−0.606173 | + | 0.795333i | \(0.707296\pi\) | |||||||
\(240\) | 5.31639 | + | 7.90830i | 0.343172 | + | 0.510478i | ||||
\(241\) | 1.80170 | − | 3.12063i | 0.116057 | − | 0.201017i | −0.802145 | − | 0.597130i | \(-0.796308\pi\) |
0.918202 | + | 0.396113i | \(0.129641\pi\) | |||||||
\(242\) | 8.50713 | + | 3.55824i | 0.546859 | + | 0.228732i | ||||
\(243\) | −1.76100 | + | 15.4887i | −0.112968 | + | 0.993599i | ||||
\(244\) | −10.3790 | + | 10.2366i | −0.664448 | + | 0.655331i | ||||
\(245\) | −7.17972 | − | 4.14521i | −0.458695 | − | 0.264828i | ||||
\(246\) | −3.52409 | − | 16.5727i | −0.224688 | − | 1.05664i | ||||
\(247\) | 3.80882 | + | 6.59707i | 0.242350 | + | 0.419762i | ||||
\(248\) | −11.3926 | + | 14.5328i | −0.723429 | + | 0.922833i | ||||
\(249\) | −0.394993 | − | 4.80161i | −0.0250316 | − | 0.304289i | ||||
\(250\) | −9.55786 | − | 12.5455i | −0.604492 | − | 0.793449i | ||||
\(251\) | 0.641516i | 0.0404922i | 0.999795 | + | 0.0202461i | \(0.00644497\pi\) | ||||
−0.999795 | + | 0.0202461i | \(0.993555\pi\) | |||||||
\(252\) | 19.7825 | − | 8.81172i | 1.24618 | − | 0.555086i | ||||
\(253\) | 7.00554i | 0.440434i | ||||||||
\(254\) | 13.3126 | − | 10.1423i | 0.835308 | − | 0.636383i | ||||
\(255\) | −1.74207 | − | 0.823373i | −0.109093 | − | 0.0515616i | ||||
\(256\) | 7.61414 | + | 14.0721i | 0.475884 | + | 0.879508i | ||||
\(257\) | −1.99885 | − | 3.46212i | −0.124685 | − | 0.215961i | 0.796925 | − | 0.604079i | \(-0.206459\pi\) |
−0.921610 | + | 0.388118i | \(0.873125\pi\) | |||||||
\(258\) | 0.465539 | + | 0.516946i | 0.0289832 | + | 0.0321836i | ||||
\(259\) | −12.5511 | − | 7.24638i | −0.779887 | − | 0.450268i | ||||
\(260\) | −1.98011 | − | 2.00766i | −0.122801 | − | 0.124510i | ||||
\(261\) | −20.6390 | + | 16.9563i | −1.27752 | + | 1.04957i | ||||
\(262\) | 1.51792 | − | 3.62908i | 0.0937774 | − | 0.224205i | ||||
\(263\) | −5.64671 | + | 9.78039i | −0.348191 | + | 0.603085i | −0.985928 | − | 0.167169i | \(-0.946537\pi\) |
0.637737 | + | 0.770254i | \(0.279871\pi\) | |||||||
\(264\) | −9.27046 | + | 4.64413i | −0.570558 | + | 0.285827i | ||||
\(265\) | −2.65683 | − | 4.60176i | −0.163208 | − | 0.282684i | ||||
\(266\) | −37.6245 | + | 4.82121i | −2.30690 | + | 0.295608i | ||||
\(267\) | −8.79526 | − | 12.7007i | −0.538261 | − | 0.777269i | ||||
\(268\) | −1.42064 | − | 5.45228i | −0.0867795 | − | 0.333051i | ||||
\(269\) | 24.2695i | 1.47974i | 0.672750 | + | 0.739870i | \(0.265113\pi\) | ||||
−0.672750 | + | 0.739870i | \(0.734887\pi\) | |||||||
\(270\) | −1.50960 | + | 9.99384i | −0.0918712 | + | 0.608206i | ||||
\(271\) | 12.2330 | 0.743102 | 0.371551 | − | 0.928413i | \(-0.378826\pi\) | ||||
0.371551 | + | 0.928413i | \(0.378826\pi\) | |||||||
\(272\) | −2.77923 | − | 1.65620i | −0.168515 | − | 0.100422i | ||||
\(273\) | −5.26849 | + | 3.64845i | −0.318864 | + | 0.220814i | ||||
\(274\) | −2.94011 | − | 22.9444i | −0.177619 | − | 1.38612i | ||||
\(275\) | 5.69719 | − | 3.28928i | 0.343554 | − | 0.198351i | ||||
\(276\) | 8.69372 | + | 7.47595i | 0.523301 | + | 0.449999i | ||||
\(277\) | 10.9249 | + | 6.30750i | 0.656414 | + | 0.378981i | 0.790909 | − | 0.611933i | \(-0.209608\pi\) |
−0.134495 | + | 0.990914i | \(0.542941\pi\) | |||||||
\(278\) | 0.774920 | − | 1.85270i | 0.0464766 | − | 0.111117i | ||||
\(279\) | −19.3228 | + | 3.20075i | −1.15683 | + | 0.191624i | ||||
\(280\) | 13.0276 | − | 5.23872i | 0.778546 | − | 0.313073i | ||||
\(281\) | 9.54364 | − | 16.5301i | 0.569326 | − | 0.986101i | −0.427307 | − | 0.904107i | \(-0.640538\pi\) |
0.996633 | − | 0.0819947i | \(-0.0261291\pi\) | |||||||
\(282\) | −13.1545 | + | 11.8464i | −0.783341 | + | 0.705443i | ||||
\(283\) | 1.01045 | − | 0.583382i | 0.0600649 | − | 0.0346785i | −0.469667 | − | 0.882844i | \(-0.655626\pi\) |
0.529732 | + | 0.848165i | \(0.322293\pi\) | |||||||
\(284\) | 2.49466 | − | 9.05941i | 0.148031 | − | 0.537577i | ||||
\(285\) | 7.56491 | − | 16.0057i | 0.448107 | − | 0.948093i | ||||
\(286\) | 2.44066 | − | 1.85942i | 0.144319 | − | 0.109950i | ||||
\(287\) | −24.9662 | −1.47371 | ||||||||
\(288\) | −4.12969 | + | 16.4604i | −0.243344 | + | 0.969940i | ||||
\(289\) | −16.3458 | −0.961518 | ||||||||
\(290\) | −13.7763 | + | 10.4956i | −0.808974 | + | 0.616320i | ||||
\(291\) | 9.52949 | − | 0.783921i | 0.558629 | − | 0.0459543i | ||||
\(292\) | 0.217656 | − | 0.790423i | 0.0127374 | − | 0.0462560i | ||||
\(293\) | −2.11446 | + | 1.22079i | −0.123528 | + | 0.0713191i | −0.560491 | − | 0.828161i | \(-0.689388\pi\) |
0.436963 | + | 0.899480i | \(0.356054\pi\) | |||||||
\(294\) | −3.07092 | − | 14.4416i | −0.179100 | − | 0.842249i | ||||
\(295\) | −5.61351 | + | 9.72288i | −0.326831 | + | 0.566088i | ||||
\(296\) | 10.5370 | − | 4.23719i | 0.612450 | − | 0.246282i | ||||
\(297\) | −10.5773 | − | 3.01140i | −0.613758 | − | 0.174739i | ||||
\(298\) | −3.09638 | + | 7.40290i | −0.179368 | + | 0.428839i | ||||
\(299\) | −2.93843 | − | 1.69650i | −0.169934 | − | 0.0981112i | ||||
\(300\) | 1.99783 | − | 10.5802i | 0.115345 | − | 0.610851i | ||||
\(301\) | 0.887751 | − | 0.512543i | 0.0511691 | − | 0.0295425i | ||||
\(302\) | 2.54278 | + | 19.8437i | 0.146321 | + | 1.14188i | ||||
\(303\) | 0.923476 | + | 11.2260i | 0.0530523 | + | 0.644914i | ||||
\(304\) | 15.2167 | − | 25.5347i | 0.872735 | − | 1.46452i | ||||
\(305\) | −10.0253 | −0.574046 | ||||||||
\(306\) | −0.986522 | − | 3.28668i | −0.0563957 | − | 0.187887i | ||||
\(307\) | 15.7452i | 0.898626i | 0.893374 | + | 0.449313i | \(0.148331\pi\) | ||||
−0.893374 | + | 0.449313i | \(0.851669\pi\) | |||||||
\(308\) | 3.85232 | + | 14.7848i | 0.219506 | + | 0.842443i | ||||
\(309\) | −2.22821 | + | 4.71440i | −0.126759 | + | 0.268193i | ||||
\(310\) | −12.5962 | + | 1.61409i | −0.715418 | + | 0.0916739i | ||||
\(311\) | 9.90129 | + | 17.1495i | 0.561451 | + | 0.972461i | 0.997370 | + | 0.0724757i | \(0.0230900\pi\) |
−0.435919 | + | 0.899986i | \(0.643577\pi\) | |||||||
\(312\) | 0.297037 | − | 5.01308i | 0.0168164 | − | 0.283810i | ||||
\(313\) | 16.2557 | − | 28.1557i | 0.918828 | − | 1.59146i | 0.117630 | − | 0.993057i | \(-0.462470\pi\) |
0.801198 | − | 0.598399i | \(-0.204196\pi\) | |||||||
\(314\) | 11.7653 | − | 28.1287i | 0.663953 | − | 1.58740i | ||||
\(315\) | 13.9414 | + | 5.23872i | 0.785509 | + | 0.295169i | ||||
\(316\) | 0.128116 | + | 0.129899i | 0.00720710 | + | 0.00730736i | ||||
\(317\) | 13.9271 | + | 8.04083i | 0.782225 | + | 0.451618i | 0.837218 | − | 0.546869i | \(-0.184180\pi\) |
−0.0549932 | + | 0.998487i | \(0.517514\pi\) | |||||||
\(318\) | 2.92351 | − | 9.00021i | 0.163942 | − | 0.504707i | ||||
\(319\) | −9.42233 | − | 16.3200i | −0.527549 | − | 0.913742i | ||||
\(320\) | −3.06750 | + | 10.5671i | −0.171478 | + | 0.590720i | ||||
\(321\) | −0.637065 | + | 0.441169i | −0.0355575 | + | 0.0246237i | ||||
\(322\) | 13.4395 | − | 10.2390i | 0.748956 | − | 0.570595i | ||||
\(323\) | 6.01054i | 0.334435i | ||||||||
\(324\) | −15.0247 | + | 9.91261i | −0.834703 | + | 0.550700i | ||||
\(325\) | 3.18620i | 0.176739i | ||||||||
\(326\) | 12.7904 | + | 16.7885i | 0.708393 | + | 0.929828i | ||||
\(327\) | −13.3352 | + | 9.23469i | −0.737441 | + | 0.510680i | ||||
\(328\) | 12.0702 | − | 15.3972i | 0.666466 | − | 0.850169i | ||||
\(329\) | 13.0425 | + | 22.5903i | 0.719056 | + | 1.24544i | ||||
\(330\) | −6.78182 | − | 2.20291i | −0.373327 | − | 0.121266i | ||||
\(331\) | 17.7569 | + | 10.2520i | 0.976010 | + | 0.563499i | 0.901063 | − | 0.433688i | \(-0.142788\pi\) |
0.0749465 | + | 0.997188i | \(0.476121\pi\) | |||||||
\(332\) | 3.96082 | − | 3.90647i | 0.217378 | − | 0.214395i | ||||
\(333\) | 11.2761 | + | 4.23719i | 0.617927 | + | 0.232197i | ||||
\(334\) | 28.7642 | + | 12.0311i | 1.57391 | + | 0.658312i | ||||
\(335\) | 1.93739 | − | 3.35565i | 0.105851 | − | 0.183339i | ||||
\(336\) | 22.4586 | + | 10.9969i | 1.22522 | + | 0.599933i | ||||
\(337\) | 6.21760 | + | 10.7692i | 0.338694 | + | 0.586635i | 0.984187 | − | 0.177131i | \(-0.0566815\pi\) |
−0.645493 | + | 0.763766i | \(0.723348\pi\) | |||||||
\(338\) | −2.14785 | − | 16.7617i | −0.116827 | − | 0.911714i | ||||
\(339\) | 8.38345 | − | 17.7375i | 0.455326 | − | 0.963368i | ||||
\(340\) | −0.560997 | − | 2.15305i | −0.0304243 | − | 0.116766i | ||||
\(341\) | − | 13.8180i | − | 0.748287i | ||||||
\(342\) | 30.1970 | − | 9.06388i | 1.63287 | − | 0.490118i | ||||
\(343\) | 3.50988 | 0.189515 | ||||||||
\(344\) | −0.113097 | + | 0.795291i | −0.00609778 | + | 0.0428792i | ||||
\(345\) | 0.646483 | + | 7.85877i | 0.0348055 | + | 0.423102i | ||||
\(346\) | 17.6637 | − | 2.26343i | 0.949606 | − | 0.121683i | ||||
\(347\) | −24.1550 | + | 13.9459i | −1.29671 | + | 0.748654i | −0.979834 | − | 0.199814i | \(-0.935966\pi\) |
−0.316873 | + | 0.948468i | \(0.602633\pi\) | |||||||
\(348\) | −30.3077 | − | 5.72291i | −1.62467 | − | 0.306780i | ||||
\(349\) | −26.0103 | − | 15.0171i | −1.39230 | − | 0.803846i | −0.398732 | − | 0.917068i | \(-0.630550\pi\) |
−0.993570 | + | 0.113222i | \(0.963883\pi\) | |||||||
\(350\) | −14.6369 | − | 6.12213i | −0.782377 | − | 0.327242i | ||||
\(351\) | 3.82458 | − | 3.70733i | 0.204141 | − | 0.197882i | ||||
\(352\) | −10.9806 | − | 4.77209i | −0.585267 | − | 0.254353i | ||||
\(353\) | −9.48011 | + | 16.4200i | −0.504575 | + | 0.873950i | 0.495411 | + | 0.868659i | \(0.335018\pi\) |
−0.999986 | + | 0.00529122i | \(0.998316\pi\) | |||||||
\(354\) | −19.5570 | + | 4.15869i | −1.03944 | + | 0.221032i | ||||
\(355\) | 5.59637 | − | 3.23107i | 0.297024 | − | 0.171487i | ||||
\(356\) | 4.73590 | − | 17.1985i | 0.251002 | − | 0.911521i | ||||
\(357\) | −5.03942 | + | 0.414556i | −0.266715 | + | 0.0219406i | ||||
\(358\) | −10.3801 | − | 13.6248i | −0.548606 | − | 0.720093i | ||||
\(359\) | 28.6420 | 1.51167 | 0.755833 | − | 0.654765i | \(-0.227232\pi\) | ||||
0.755833 | + | 0.654765i | \(0.227232\pi\) | |||||||
\(360\) | −9.97098 | + | 6.06525i | −0.525517 | + | 0.319667i | ||||
\(361\) | −36.2231 | −1.90648 | ||||||||
\(362\) | −15.1515 | − | 19.8877i | −0.796348 | − | 1.04528i | ||||
\(363\) | −4.82598 | + | 10.2107i | −0.253298 | + | 0.535923i | ||||
\(364\) | −7.13429 | − | 1.96455i | −0.373938 | − | 0.102970i | ||||
\(365\) | 0.488277 | − | 0.281907i | 0.0255576 | − | 0.0147557i | ||||
\(366\) | −11.9478 | − | 13.2672i | −0.624523 | − | 0.693485i | ||||
\(367\) | 5.77148 | − | 9.99650i | 0.301269 | − | 0.521813i | −0.675155 | − | 0.737676i | \(-0.735923\pi\) |
0.976424 | + | 0.215863i | \(0.0692565\pi\) | |||||||
\(368\) | −0.182905 | + | 13.2386i | −0.00953461 | + | 0.690110i | ||||
\(369\) | 20.4722 | − | 3.39114i | 1.06574 | − | 0.176536i | ||||
\(370\) | 7.20543 | + | 3.01378i | 0.374593 | + | 0.156679i | ||||
\(371\) | −12.0759 | − | 6.97205i | −0.626952 | − | 0.361971i | ||||
\(372\) | −17.1478 | − | 14.7459i | −0.889074 | − | 0.764537i | ||||
\(373\) | 19.4301 | − | 11.2180i | 1.00605 | − | 0.580846i | 0.0960206 | − | 0.995379i | \(-0.469389\pi\) |
0.910034 | + | 0.414533i | \(0.136055\pi\) | |||||||
\(374\) | 2.40132 | − | 0.307706i | 0.124169 | − | 0.0159111i | ||||
\(375\) | 15.8802 | − | 10.9971i | 0.820048 | − | 0.567885i | ||||
\(376\) | −20.2375 | − | 2.87794i | −1.04367 | − | 0.148418i | ||||
\(377\) | 9.12706 | 0.470068 | ||||||||
\(378\) | 9.68218 | + | 24.6930i | 0.497997 | + | 1.27007i | ||||
\(379\) | − | 22.6668i | − | 1.16431i | −0.813077 | − | 0.582157i | \(-0.802209\pi\) | ||
0.813077 | − | 0.582157i | \(-0.197791\pi\) | |||||||
\(380\) | 19.7816 | − | 5.15428i | 1.01477 | − | 0.264409i | ||||
\(381\) | 11.6695 | + | 16.8511i | 0.597845 | + | 0.863310i | ||||
\(382\) | 3.49493 | + | 27.2742i | 0.178816 | + | 1.39547i | ||||
\(383\) | −1.94277 | − | 3.36498i | −0.0992709 | − | 0.171942i | 0.812112 | − | 0.583501i | \(-0.198318\pi\) |
−0.911383 | + | 0.411559i | \(0.864984\pi\) | |||||||
\(384\) | −17.6400 | + | 8.53414i | −0.900186 | + | 0.435506i | ||||
\(385\) | −5.25356 | + | 9.09944i | −0.267746 | + | 0.463750i | ||||
\(386\) | −0.415204 | − | 0.173666i | −0.0211333 | − | 0.00883935i | ||||
\(387\) | −0.658334 | + | 0.540866i | −0.0334650 | + | 0.0274937i | ||||
\(388\) | 7.75297 | + | 7.86082i | 0.393597 | + | 0.399073i | ||||
\(389\) | −11.9463 | − | 6.89722i | −0.605703 | − | 0.349703i | 0.165579 | − | 0.986197i | \(-0.447051\pi\) |
−0.771282 | + | 0.636494i | \(0.780384\pi\) | |||||||
\(390\) | 2.56632 | − | 2.31112i | 0.129951 | − | 0.117028i | ||||
\(391\) | −1.33859 | − | 2.31850i | −0.0676953 | − | 0.117252i | ||||
\(392\) | 10.5181 | − | 13.4172i | 0.531243 | − | 0.677673i | ||||
\(393\) | 4.35581 | + | 2.05873i | 0.219721 | + | 0.103849i | ||||
\(394\) | 21.0031 | + | 27.5684i | 1.05812 | + | 1.38887i | ||||
\(395\) | 0.125471i | 0.00631315i | ||||||||
\(396\) | −5.16710 | − | 11.6002i | −0.259656 | − | 0.582933i | ||||
\(397\) | − | 23.7680i | − | 1.19288i | −0.802657 | − | 0.596441i | \(-0.796581\pi\) | ||
0.802657 | − | 0.596441i | \(-0.203419\pi\) | |||||||
\(398\) | 8.02732 | − | 6.11565i | 0.402373 | − | 0.306550i | ||||
\(399\) | −3.80882 | − | 46.3008i | −0.190680 | − | 2.31794i | ||||
\(400\) | 10.8521 | − | 6.06711i | 0.542603 | − | 0.303356i | ||||
\(401\) | −4.47782 | − | 7.75581i | −0.223612 | − | 0.387307i | 0.732290 | − | 0.680992i | \(-0.238451\pi\) |
−0.955902 | + | 0.293686i | \(0.905118\pi\) | |||||||
\(402\) | 6.74969 | − | 1.43528i | 0.336644 | − | 0.0715855i | ||||
\(403\) | 5.79587 | + | 3.34625i | 0.288713 | + | 0.166688i | ||||
\(404\) | −9.26022 | + | 9.13316i | −0.460713 | + | 0.454392i | ||||
\(405\) | −12.1435 | − | 2.40208i | −0.603414 | − | 0.119360i | ||||
\(406\) | −17.5372 | + | 41.9284i | −0.870357 | + | 2.08087i | ||||
\(407\) | −4.24920 | + | 7.35983i | −0.210625 | + | 0.364813i | ||||
\(408\) | 2.18070 | − | 3.30835i | 0.107961 | − | 0.163788i | ||||
\(409\) | 10.4170 | + | 18.0429i | 0.515090 | + | 0.892162i | 0.999847 | + | 0.0175128i | \(0.00557480\pi\) |
−0.484757 | + | 0.874649i | \(0.661092\pi\) | |||||||
\(410\) | 13.3455 | − | 1.71009i | 0.659086 | − | 0.0844555i | ||||
\(411\) | 28.2355 | − | 2.32273i | 1.39275 | − | 0.114572i | ||||
\(412\) | −5.82659 | + | 1.51817i | −0.287055 | + | 0.0747949i | ||||
\(413\) | 29.4619i | 1.44973i | ||||||||
\(414\) | −9.62961 | + | 10.2214i | −0.473269 | + | 0.502354i | ||||
\(415\) | 3.82582 | 0.187802 | ||||||||
\(416\) | 4.66074 | − | 3.45010i | 0.228512 | − | 0.169155i | ||||
\(417\) | 2.22371 | + | 1.05101i | 0.108895 | + | 0.0514683i | ||||
\(418\) | 2.82711 | + | 22.0626i | 0.138278 | + | 1.07912i | ||||
\(419\) | −8.74372 | + | 5.04819i | −0.427159 | + | 0.246620i | −0.698135 | − | 0.715966i | \(-0.745987\pi\) |
0.270977 | + | 0.962586i | \(0.412653\pi\) | |||||||
\(420\) | 5.68588 | + | 16.2300i | 0.277442 | + | 0.791944i | ||||
\(421\) | −20.2218 | − | 11.6751i | −0.985551 | − | 0.569008i | −0.0816096 | − | 0.996664i | \(-0.526006\pi\) |
−0.903941 | + | 0.427656i | \(0.859339\pi\) | |||||||
\(422\) | −4.41199 | + | 10.5483i | −0.214772 | + | 0.513482i | ||||
\(423\) | −13.7632 | − | 16.7524i | −0.669190 | − | 0.814528i | ||||
\(424\) | 10.1381 | − | 4.07679i | 0.492349 | − | 0.197986i | ||||
\(425\) | −1.25700 | + | 2.17719i | −0.0609735 | + | 0.105609i | ||||
\(426\) | 10.9455 | + | 3.55538i | 0.530310 | + | 0.172259i | ||||
\(427\) | −22.7837 | + | 13.1542i | −1.10258 | + | 0.636575i | ||||
\(428\) | −0.862677 | − | 0.237552i | −0.0416991 | − | 0.0114825i | ||||
\(429\) | 2.13941 | + | 3.08939i | 0.103292 | + | 0.149157i | ||||
\(430\) | −0.439432 | + | 0.334783i | −0.0211913 | + | 0.0161447i | ||||
\(431\) | −6.40348 | −0.308445 | −0.154222 | − | 0.988036i | \(-0.549287\pi\) | ||||
−0.154222 | + | 0.988036i | \(0.549287\pi\) | |||||||
\(432\) | −19.9097 | − | 5.96691i | −0.957906 | − | 0.287083i | ||||
\(433\) | −9.82857 | −0.472331 | −0.236166 | − | 0.971713i | \(-0.575891\pi\) | ||||
−0.236166 | + | 0.971713i | \(0.575891\pi\) | |||||||
\(434\) | −26.5087 | + | 20.1957i | −1.27246 | + | 0.969426i | ||||
\(435\) | −12.0759 | − | 17.4381i | −0.578997 | − | 0.836094i | ||||
\(436\) | −18.0578 | − | 4.97252i | −0.864813 | − | 0.238141i | ||||
\(437\) | 21.3017 | − | 12.2986i | 1.01900 | − | 0.588320i | ||||
\(438\) | 0.954981 | + | 0.310203i | 0.0456308 | + | 0.0148221i | ||||
\(439\) | −12.3831 | + | 21.4482i | −0.591015 | + | 1.02367i | 0.403081 | + | 0.915164i | \(0.367939\pi\) |
−0.994096 | + | 0.108504i | \(0.965394\pi\) | |||||||
\(440\) | −3.07193 | − | 7.63923i | −0.146449 | − | 0.364186i | ||||
\(441\) | 17.8396 | − | 2.95506i | 0.849505 | − | 0.140717i | ||||
\(442\) | −0.452451 | + | 1.08173i | −0.0215209 | + | 0.0514527i | ||||
\(443\) | −23.5518 | − | 13.5976i | −1.11898 | − | 0.646044i | −0.177840 | − | 0.984059i | \(-0.556911\pi\) |
−0.941140 | + | 0.338016i | \(0.890244\pi\) | |||||||
\(444\) | 4.59886 | + | 13.1272i | 0.218252 | + | 0.622989i | ||||
\(445\) | 10.6242 | − | 6.13391i | 0.503637 | − | 0.290775i | ||||
\(446\) | −0.759387 | − | 5.92621i | −0.0359580 | − | 0.280614i | ||||
\(447\) | −8.88535 | − | 4.19957i | −0.420262 | − | 0.198633i | ||||
\(448\) | 6.89385 | + | 28.0400i | 0.325704 | + | 1.32476i | ||||
\(449\) | 32.6861 | 1.54255 | 0.771276 | − | 0.636501i | \(-0.219619\pi\) | ||||
0.771276 | + | 0.636501i | \(0.219619\pi\) | |||||||
\(450\) | 12.8338 | + | 3.03200i | 0.604991 | + | 0.142930i | ||||
\(451\) | 14.6399i | 0.689367i | ||||||||
\(452\) | 21.9220 | − | 5.71198i | 1.03112 | − | 0.268669i | ||||
\(453\) | −24.4197 | + | 2.00883i | −1.14734 | + | 0.0943831i | ||||
\(454\) | 1.77282 | − | 0.227170i | 0.0832028 | − | 0.0106616i | ||||
\(455\) | −2.54447 | − | 4.40714i | −0.119286 | − | 0.206610i | ||||
\(456\) | 30.3961 | + | 20.0357i | 1.42343 | + | 0.938256i | ||||
\(457\) | −10.3779 | + | 17.9750i | −0.485456 | + | 0.840834i | −0.999860 | − | 0.0167133i | \(-0.994680\pi\) |
0.514404 | + | 0.857548i | \(0.328013\pi\) | |||||||
\(458\) | −3.96473 | + | 9.47898i | −0.185260 | + | 0.442924i | ||||
\(459\) | 4.07600 | − | 1.02444i | 0.190251 | − | 0.0478165i | ||||
\(460\) | −6.48265 | + | 6.39371i | −0.302255 | + | 0.298108i | ||||
\(461\) | 32.4695 | + | 18.7463i | 1.51226 | + | 0.873101i | 0.999897 | + | 0.0143300i | \(0.00456153\pi\) |
0.512359 | + | 0.858771i | \(0.328772\pi\) | |||||||
\(462\) | −18.3030 | + | 3.89203i | −0.851531 | + | 0.181074i | ||||
\(463\) | −7.97597 | − | 13.8148i | −0.370675 | − | 0.642028i | 0.618995 | − | 0.785395i | \(-0.287540\pi\) |
−0.989670 | + | 0.143367i | \(0.954207\pi\) | |||||||
\(464\) | −17.3796 | − | 31.0864i | −0.806828 | − | 1.44315i | ||||
\(465\) | −1.27515 | − | 15.5009i | −0.0591336 | − | 0.718839i | ||||
\(466\) | 6.64907 | − | 5.06562i | 0.308012 | − | 0.234660i | ||||
\(467\) | − | 27.0476i | − | 1.25161i | −0.779979 | − | 0.625806i | \(-0.784770\pi\) | ||
0.779979 | − | 0.625806i | \(-0.215230\pi\) | |||||||
\(468\) | 6.11693 | + | 0.641874i | 0.282755 | + | 0.0296706i | ||||
\(469\) | − | 10.1682i | − | 0.469523i | ||||||
\(470\) | −8.51911 | − | 11.1821i | −0.392957 | − | 0.515790i | ||||
\(471\) | 33.7616 | + | 15.9571i | 1.55565 | + | 0.735263i | ||||
\(472\) | −18.1698 | − | 14.2437i | −0.836335 | − | 0.655621i | ||||
\(473\) | −0.300550 | − | 0.520568i | −0.0138193 | − | 0.0239357i | ||||
\(474\) | −0.166045 | + | 0.149533i | −0.00762670 | + | 0.00686828i | ||||
\(475\) | −20.0034 | − | 11.5490i | −0.917818 | − | 0.529903i | ||||
\(476\) | −4.09995 | − | 4.15699i | −0.187921 | − | 0.190535i | ||||
\(477\) | 10.8492 | + | 4.07679i | 0.496752 | + | 0.186663i | ||||
\(478\) | −15.5588 | − | 6.50771i | −0.711643 | − | 0.297656i | ||||
\(479\) | 13.6550 | − | 23.6511i | 0.623912 | − | 1.08065i | −0.364838 | − | 0.931071i | \(-0.618876\pi\) |
0.988750 | − | 0.149577i | \(-0.0477910\pi\) | |||||||
\(480\) | −12.7583 | − | 4.33999i | −0.582335 | − | 0.198093i | ||||
\(481\) | −2.05802 | − | 3.56460i | −0.0938377 | − | 0.162532i | ||||
\(482\) | 0.647703 | + | 5.05464i | 0.0295021 | + | 0.230232i | ||||
\(483\) | 11.7807 | + | 17.0118i | 0.536041 | + | 0.774063i | ||||
\(484\) | −12.6195 | + | 3.28814i | −0.573615 | + | 0.149461i | ||||
\(485\) | 7.59291i | 0.344776i | ||||||||
\(486\) | −11.2934 | − | 18.9330i | −0.512278 | − | 0.858820i | ||||
\(487\) | 19.1126 | 0.866073 | 0.433036 | − | 0.901376i | \(-0.357442\pi\) | ||||
0.433036 | + | 0.901376i | \(0.357442\pi\) | |||||||
\(488\) | 2.90258 | − | 20.4108i | 0.131394 | − | 0.923951i | ||||
\(489\) | −21.2509 | + | 14.7163i | −0.960999 | + | 0.665494i | ||||
\(490\) | 11.6293 | − | 1.49019i | 0.525360 | − | 0.0673198i | ||||
\(491\) | −11.1131 | + | 6.41614i | −0.501526 | + | 0.289556i | −0.729344 | − | 0.684147i | \(-0.760174\pi\) |
0.227817 | + | 0.973704i | \(0.426841\pi\) | |||||||
\(492\) | 18.1678 | + | 15.6230i | 0.819069 | + | 0.704338i | ||||
\(493\) | 6.23669 | + | 3.60076i | 0.280886 | + | 0.162170i | ||||
\(494\) | −9.93863 | − | 4.15699i | −0.447160 | − | 0.187032i | ||||
\(495\) | 3.07193 | − | 8.17509i | 0.138073 | − | 0.367443i | ||||
\(496\) | 0.360770 | − | 26.1124i | 0.0161990 | − | 1.17248i | ||||
\(497\) | 8.47896 | − | 14.6860i | 0.380334 | − | 0.658757i | ||||
\(498\) | 4.55950 | + | 5.06298i | 0.204316 | + | 0.226878i | ||||
\(499\) | −15.3846 | + | 8.88232i | −0.688711 | + | 0.397627i | −0.803129 | − | 0.595805i | \(-0.796833\pi\) |
0.114418 | + | 0.993433i | \(0.463500\pi\) | |||||||
\(500\) | 21.5040 | + | 5.92148i | 0.961688 | + | 0.264817i | ||||
\(501\) | −16.3176 | + | 34.5243i | −0.729015 | + | 1.54243i | ||||
\(502\) | −0.549804 | − | 0.721666i | −0.0245390 | − | 0.0322095i | ||||
\(503\) | −24.0108 | −1.07059 | −0.535294 | − | 0.844666i | \(-0.679799\pi\) | ||||
−0.535294 | + | 0.844666i | \(0.679799\pi\) | |||||||
\(504\) | −14.7021 | + | 26.8670i | −0.654882 | + | 1.19675i | ||||
\(505\) | −8.94461 | −0.398030 | ||||||||
\(506\) | −6.00402 | − | 7.88079i | −0.266911 | − | 0.350344i | ||||
\(507\) | 20.6269 | − | 1.69683i | 0.916075 | − | 0.0753587i | ||||
\(508\) | −6.28355 | + | 22.8189i | −0.278787 | + | 1.01242i | ||||
\(509\) | −6.91916 | + | 3.99478i | −0.306686 | + | 0.177065i | −0.645443 | − | 0.763809i | \(-0.723327\pi\) |
0.338756 | + | 0.940874i | \(0.389994\pi\) | |||||||
\(510\) | 2.66538 | − | 0.566780i | 0.118025 | − | 0.0250974i | ||||
\(511\) | 0.739780 | − | 1.28134i | 0.0327259 | − | 0.0566830i | ||||
\(512\) | −20.6258 | − | 9.30466i | −0.911540 | − | 0.411212i | ||||
\(513\) | 9.41221 | + | 37.4491i | 0.415559 | + | 1.65342i | ||||
\(514\) | 5.21575 | + | 2.18157i | 0.230057 | + | 0.0962250i | ||||
\(515\) | −3.58602 | − | 2.07039i | −0.158019 | − | 0.0912324i | ||||
\(516\) | −0.966745 | − | 0.182547i | −0.0425586 | − | 0.00803619i | ||||
\(517\) | 13.2467 | − | 7.64798i | 0.582589 | − | 0.336358i | ||||
\(518\) | 20.3296 | − | 2.60505i | 0.893232 | − | 0.114459i | ||||
\(519\) | 1.78814 | + | 21.7370i | 0.0784907 | + | 0.954147i | ||||
\(520\) | 3.94814 | + | 0.561458i | 0.173137 | + | 0.0246216i | ||||
\(521\) | −36.9809 | −1.62016 | −0.810082 | − | 0.586317i | \(-0.800577\pi\) | ||||
−0.810082 | + | 0.586317i | \(0.800577\pi\) | |||||||
\(522\) | 8.68534 | − | 36.7632i | 0.380147 | − | 1.60908i | ||||
\(523\) | 18.4217i | 0.805526i | 0.915304 | + | 0.402763i | \(0.131950\pi\) | ||||
−0.915304 | + | 0.402763i | \(0.868050\pi\) | |||||||
\(524\) | 1.40270 | + | 5.38340i | 0.0612770 | + | 0.235175i | ||||
\(525\) | 8.30334 | − | 17.5680i | 0.362388 | − | 0.766731i | ||||
\(526\) | −2.02997 | − | 15.8418i | −0.0885110 | − | 0.690734i | ||||
\(527\) | 2.64028 | + | 4.57311i | 0.115013 | + | 0.199208i | ||||
\(528\) | 6.44849 | − | 13.1695i | 0.280635 | − | 0.573129i | ||||
\(529\) | 6.02206 | − | 10.4305i | 0.261828 | − | 0.453500i | ||||
\(530\) | 6.93265 | + | 2.89969i | 0.301135 | + | 0.125955i | ||||
\(531\) | −4.00179 | − | 24.1587i | −0.173663 | − | 1.04840i | ||||
\(532\) | 38.1932 | − | 37.6692i | 1.65589 | − | 1.63317i | ||||
\(533\) | −6.14061 | − | 3.54529i | −0.265980 | − | 0.153563i | ||||
\(534\) | 20.7791 | + | 6.74960i | 0.899199 | + | 0.292084i | ||||
\(535\) | −0.307676 | − | 0.532911i | −0.0133020 | − | 0.0230397i | ||||
\(536\) | 6.27095 | + | 4.91593i | 0.270864 | + | 0.212336i | ||||
\(537\) | 17.2463 | − | 11.9431i | 0.744233 | − | 0.515384i | ||||
\(538\) | −20.7999 | − | 27.3017i | −0.896748 | − | 1.17706i | ||||
\(539\) | 12.7573i | 0.549497i | ||||||||
\(540\) | −6.86691 | − | 12.5362i | −0.295505 | − | 0.539474i | ||||
\(541\) | − | 13.5032i | − | 0.580549i | −0.956943 | − | 0.290275i | \(-0.906253\pi\) | ||
0.956943 | − | 0.290275i | \(-0.0937467\pi\) | |||||||
\(542\) | −13.7614 | + | 10.4841i | −0.591101 | + | 0.450333i | ||||
\(543\) | 25.1739 | − | 17.4330i | 1.08032 | − | 0.748122i | ||||
\(544\) | 4.54588 | − | 0.518787i | 0.194903 | − | 0.0222428i | ||||
\(545\) | −6.44038 | − | 11.1551i | −0.275875 | − | 0.477830i | ||||
\(546\) | 2.79987 | − | 8.61958i | 0.119823 | − | 0.368884i | ||||
\(547\) | 32.2252 | + | 18.6052i | 1.37785 | + | 0.795501i | 0.991900 | − | 0.127019i | \(-0.0405410\pi\) |
0.385948 | + | 0.922520i | \(0.373874\pi\) | |||||||
\(548\) | 22.9717 | + | 23.2913i | 0.981303 | + | 0.994954i | ||||
\(549\) | 16.8958 | − | 13.8811i | 0.721095 | − | 0.592429i | ||||
\(550\) | −3.58995 | + | 8.58294i | −0.153076 | + | 0.365978i | ||||
\(551\) | −33.0827 | + | 57.3009i | −1.40937 | + | 2.44110i | ||||
\(552\) | −16.1871 | − | 0.959124i | −0.688968 | − | 0.0408230i | ||||
\(553\) | 0.164631 | + | 0.285149i | 0.00700082 | + | 0.0121258i | ||||
\(554\) | −17.6956 | + | 2.26752i | −0.751815 | + | 0.0963378i | ||||
\(555\) | −4.08755 | + | 8.64833i | −0.173507 | + | 0.367101i | ||||
\(556\) | 0.716097 | + | 2.74831i | 0.0303693 | + | 0.116554i | ||||
\(557\) | − | 16.9602i | − | 0.718628i | −0.933217 | − | 0.359314i | \(-0.883011\pi\) | ||
0.933217 | − | 0.359314i | \(-0.116989\pi\) | |||||||
\(558\) | 18.9938 | − | 20.1611i | 0.804072 | − | 0.853486i | ||||
\(559\) | 0.291131 | 0.0123135 | ||||||||
\(560\) | −10.1654 | + | 17.0584i | −0.429567 | + | 0.720847i | ||||
\(561\) | 0.243091 | + | 2.95506i | 0.0102633 | + | 0.124763i | ||||
\(562\) | 3.43090 | + | 26.7746i | 0.144724 | + | 1.12942i | ||||
\(563\) | 25.0083 | − | 14.4385i | 1.05397 | − | 0.608512i | 0.130214 | − | 0.991486i | \(-0.458434\pi\) |
0.923759 | + | 0.382974i | \(0.125100\pi\) | |||||||
\(564\) | 4.64521 | − | 24.6004i | 0.195599 | − | 1.03586i | ||||
\(565\) | 13.4921 | + | 7.78966i | 0.567616 | + | 0.327713i | ||||
\(566\) | −0.636710 | + | 1.52226i | −0.0267629 | + | 0.0639854i | ||||
\(567\) | −30.7493 | + | 10.4744i | −1.29135 | + | 0.439884i | ||||
\(568\) | 4.95793 | + | 12.3293i | 0.208030 | + | 0.517326i | ||||
\(569\) | 2.20060 | − | 3.81154i | 0.0922538 | − | 0.159788i | −0.816205 | − | 0.577762i | \(-0.803926\pi\) |
0.908459 | + | 0.417974i | \(0.137260\pi\) | |||||||
\(570\) | 5.20741 | + | 24.4888i | 0.218114 | + | 1.02572i | ||||
\(571\) | 28.6730 | − | 16.5544i | 1.19993 | − | 0.692779i | 0.239390 | − | 0.970924i | \(-0.423053\pi\) |
0.960539 | + | 0.278144i | \(0.0897193\pi\) | |||||||
\(572\) | −1.15199 | + | 4.18347i | −0.0481671 | + | 0.174920i | ||||
\(573\) | −33.5637 | + | 2.76104i | −1.40214 | + | 0.115344i | ||||
\(574\) | 28.0854 | − | 21.3970i | 1.17226 | − | 0.893093i | ||||
\(575\) | 10.2881 | 0.429045 | ||||||||
\(576\) | −9.46157 | − | 22.0563i | −0.394232 | − | 0.919011i | ||||
\(577\) | 11.4122 | 0.475097 | 0.237548 | − | 0.971376i | \(-0.423656\pi\) | ||||
0.237548 | + | 0.971376i | \(0.423656\pi\) | |||||||
\(578\) | 18.3880 | − | 14.0090i | 0.764841 | − | 0.582697i | ||||
\(579\) | 0.235540 | − | 0.498349i | 0.00978870 | − | 0.0207107i | ||||
\(580\) | 6.50242 | − | 23.6137i | 0.269998 | − | 0.980506i | ||||
\(581\) | 8.69466 | − | 5.01986i | 0.360715 | − | 0.208259i | ||||
\(582\) | −10.0482 | + | 9.04900i | −0.416513 | + | 0.375093i | ||||
\(583\) | −4.08834 | + | 7.08121i | −0.169322 | + | 0.293274i | ||||
\(584\) | 0.432574 | + | 1.07572i | 0.0179000 | + | 0.0445135i | ||||
\(585\) | 2.68507 | + | 3.26823i | 0.111014 | + | 0.135125i | ||||
\(586\) | 1.33238 | − | 3.18548i | 0.0550401 | − | 0.131591i | ||||
\(587\) | 22.5512 | + | 13.0200i | 0.930788 | + | 0.537391i | 0.887061 | − | 0.461653i | \(-0.152743\pi\) |
0.0437275 | + | 0.999043i | \(0.486077\pi\) | |||||||
\(588\) | 15.8316 | + | 13.6140i | 0.652883 | + | 0.561430i | ||||
\(589\) | −42.0164 | + | 24.2582i | −1.73125 | + | 0.999540i | ||||
\(590\) | −2.01804 | − | 15.7486i | −0.0830812 | − | 0.648361i | ||||
\(591\) | −34.8961 | + | 24.1657i | −1.43543 | + | 0.994042i | ||||
\(592\) | −8.22201 | + | 13.7972i | −0.337923 | + | 0.567061i | ||||
\(593\) | 5.75114 | 0.236171 | 0.118086 | − | 0.993003i | \(-0.462324\pi\) | ||||
0.118086 | + | 0.993003i | \(0.462324\pi\) | |||||||
\(594\) | 14.4797 | − | 5.67752i | 0.594110 | − | 0.232952i | ||||
\(595\) | − | 4.01531i | − | 0.164612i | ||||||
\(596\) | −2.86134 | − | 10.9815i | −0.117205 | − | 0.449821i | ||||
\(597\) | 7.03652 | + | 10.1610i | 0.287986 | + | 0.415862i | ||||
\(598\) | 4.75951 | − | 0.609886i | 0.194631 | − | 0.0249401i | ||||
\(599\) | −8.10409 | − | 14.0367i | −0.331124 | − | 0.573524i | 0.651608 | − | 0.758556i | \(-0.274095\pi\) |
−0.982733 | + | 0.185032i | \(0.940761\pi\) | |||||||
\(600\) | 6.82024 | + | 13.6143i | 0.278435 | + | 0.555803i | ||||
\(601\) | 9.78181 | − | 16.9426i | 0.399008 | − | 0.691102i | −0.594596 | − | 0.804025i | \(-0.702688\pi\) |
0.993604 | + | 0.112922i | \(0.0360212\pi\) | |||||||
\(602\) | −0.559395 | + | 1.33742i | −0.0227992 | + | 0.0545090i | ||||
\(603\) | 1.38114 | + | 8.33786i | 0.0562442 | + | 0.339544i | ||||
\(604\) | −19.8673 | − | 20.1437i | −0.808389 | − | 0.819635i | ||||
\(605\) | −7.76680 | − | 4.48416i | −0.315765 | − | 0.182307i | ||||
\(606\) | −10.6599 | − | 11.8370i | −0.433030 | − | 0.480847i | ||||
\(607\) | −3.82627 | − | 6.62730i | −0.155304 | − | 0.268994i | 0.777866 | − | 0.628430i | \(-0.216302\pi\) |
−0.933170 | + | 0.359437i | \(0.882969\pi\) | |||||||
\(608\) | 4.76646 | + | 41.7662i | 0.193306 | + | 1.69384i | ||||
\(609\) | −50.3246 | − | 23.7854i | −2.03926 | − | 0.963834i | ||||
\(610\) | 11.2778 | − | 8.59205i | 0.456625 | − | 0.347882i | ||||
\(611\) | 7.40831i | 0.299708i | ||||||||
\(612\) | 3.92659 | + | 2.85182i | 0.158723 | + | 0.115278i | ||||
\(613\) | 27.6512i | 1.11682i | 0.829565 | + | 0.558410i | \(0.188588\pi\) | ||||
−0.829565 | + | 0.558410i | \(0.811412\pi\) | |||||||
\(614\) | −13.4942 | − | 17.7124i | −0.544583 | − | 0.714813i | ||||
\(615\) | 1.35100 | + | 16.4230i | 0.0544774 | + | 0.662238i | ||||
\(616\) | −17.0048 | − | 13.3304i | −0.685142 | − | 0.537097i | ||||
\(617\) | −12.6938 | − | 21.9863i | −0.511034 | − | 0.885136i | −0.999918 | − | 0.0127878i | \(-0.995929\pi\) |
0.488885 | − | 0.872348i | \(-0.337404\pi\) | |||||||
\(618\) | −1.53382 | − | 7.21307i | −0.0616993 | − | 0.290152i | ||||
\(619\) | 19.8583 | + | 11.4652i | 0.798171 | + | 0.460824i | 0.842831 | − | 0.538178i | \(-0.180887\pi\) |
−0.0446605 | + | 0.999002i | \(0.514221\pi\) | |||||||
\(620\) | 12.7866 | − | 12.6112i | 0.513524 | − | 0.506478i | ||||
\(621\) | −11.9708 | − | 12.3494i | −0.480373 | − | 0.495565i | ||||
\(622\) | −25.8362 | − | 10.8064i | −1.03594 | − | 0.433296i | ||||
\(623\) | 16.0966 | − | 27.8801i | 0.644897 | − | 1.11699i | ||||
\(624\) | 3.96226 | + | 5.89398i | 0.158617 | + | 0.235948i | ||||
\(625\) | −0.101100 | − | 0.175110i | −0.00404398 | − | 0.00700439i | ||||
\(626\) | 5.84388 | + | 45.6052i | 0.233568 | + | 1.82275i | ||||
\(627\) | −27.1503 | + | 2.23345i | −1.08428 | + | 0.0891955i | ||||
\(628\) | 10.8722 | + | 41.7264i | 0.433848 | + | 1.66506i | ||||
\(629\) | − | 3.24767i | − | 0.129493i | ||||||
\(630\) | −20.1730 | + | 6.05508i | −0.803711 | + | 0.241240i | ||||
\(631\) | 23.2785 | 0.926701 | 0.463350 | − | 0.886175i | \(-0.346647\pi\) | ||||
0.463350 | + | 0.886175i | \(0.346647\pi\) | |||||||
\(632\) | −0.255451 | − | 0.0363272i | −0.0101613 | − | 0.00144502i | ||||
\(633\) | −12.6606 | − | 5.98390i | −0.503214 | − | 0.237839i | ||||
\(634\) | −22.5584 | + | 2.89065i | −0.895910 | + | 0.114802i | ||||
\(635\) | −14.0961 | + | 8.13841i | −0.559388 | + | 0.322963i | ||||
\(636\) | 4.42476 | + | 12.6302i | 0.175453 | + | 0.500821i | ||||
\(637\) | −5.35098 | − | 3.08939i | −0.212013 | − | 0.122406i | ||||
\(638\) | 24.5864 | + | 10.2836i | 0.973384 | + | 0.407133i | ||||
\(639\) | −4.95793 | + | 13.1941i | −0.196133 | + | 0.521952i | ||||
\(640\) | −5.60568 | − | 14.5163i | −0.221584 | − | 0.573808i | ||||
\(641\) | −17.4170 | + | 30.1672i | −0.687932 | + | 1.19153i | 0.284574 | + | 0.958654i | \(0.408148\pi\) |
−0.972506 | + | 0.232879i | \(0.925185\pi\) | |||||||
\(642\) | 0.338559 | − | 1.04228i | 0.0133619 | − | 0.0411354i | ||||
\(643\) | −34.0047 | + | 19.6326i | −1.34102 | + | 0.774236i | −0.986956 | − | 0.160987i | \(-0.948532\pi\) |
−0.354059 | + | 0.935223i | \(0.615199\pi\) | |||||||
\(644\) | −6.34345 | + | 23.0364i | −0.249967 | + | 0.907761i | ||||
\(645\) | −0.385194 | − | 0.556234i | −0.0151670 | − | 0.0219017i | ||||
\(646\) | −5.15126 | − | 6.76148i | −0.202674 | − | 0.266027i | ||||
\(647\) | 44.5092 | 1.74984 | 0.874918 | − | 0.484271i | \(-0.160915\pi\) | ||||
0.874918 | + | 0.484271i | \(0.160915\pi\) | |||||||
\(648\) | 8.40631 | − | 24.0278i | 0.330231 | − | 0.943900i | ||||
\(649\) | 17.2762 | 0.678149 | ||||||||
\(650\) | −2.73070 | − | 3.58428i | −0.107107 | − | 0.140587i | ||||
\(651\) | −23.2367 | − | 33.5547i | −0.910719 | − | 1.31511i | ||||
\(652\) | −28.7767 | − | 7.92415i | −1.12698 | − | 0.310334i | ||||
\(653\) | −15.7763 | + | 9.10843i | −0.617373 | + | 0.356440i | −0.775845 | − | 0.630923i | \(-0.782676\pi\) |
0.158473 | + | 0.987363i | \(0.449343\pi\) | |||||||
\(654\) | 7.08683 | − | 21.8173i | 0.277117 | − | 0.853123i | ||||
\(655\) | −1.91291 | + | 3.31326i | −0.0747437 | + | 0.129460i | ||||
\(656\) | −0.382229 | + | 27.6656i | −0.0149235 | + | 1.08016i | ||||
\(657\) | −0.432574 | + | 1.15117i | −0.0168763 | + | 0.0449116i | ||||
\(658\) | −34.0327 | − | 14.2347i | −1.32673 | − | 0.554927i | ||||
\(659\) | 36.2085 | + | 20.9050i | 1.41048 | + | 0.814343i | 0.995434 | − | 0.0954566i | \(-0.0304311\pi\) |
0.415049 | + | 0.909799i | \(0.363764\pi\) | |||||||
\(660\) | 9.51711 | − | 3.33414i | 0.370453 | − | 0.129781i | ||||
\(661\) | −9.78973 | + | 5.65210i | −0.380776 | + | 0.219841i | −0.678156 | − | 0.734918i | \(-0.737221\pi\) |
0.297380 | + | 0.954759i | \(0.403887\pi\) | |||||||
\(662\) | −28.7618 | + | 3.68555i | −1.11786 | + | 0.143243i | ||||
\(663\) | −1.29835 | − | 0.613652i | −0.0504237 | − | 0.0238323i | ||||
\(664\) | −1.10768 | + | 7.78911i | −0.0429861 | + | 0.302276i | ||||
\(665\) | 36.8915 | 1.43059 | ||||||||
\(666\) | −16.3164 | + | 4.89748i | −0.632246 | + | 0.189774i | ||||
\(667\) | − | 29.4710i | − | 1.14112i | ||||||
\(668\) | −42.6691 | + | 11.1178i | −1.65092 | + | 0.430161i | ||||
\(669\) | 7.29280 | − | 0.599925i | 0.281956 | − | 0.0231945i | ||||
\(670\) | 0.696483 | + | 5.43531i | 0.0269075 | + | 0.209984i | ||||
\(671\) | 7.71346 | + | 13.3601i | 0.297775 | + | 0.515761i | ||||
\(672\) | −34.6894 | + | 6.87703i | −1.33817 | + | 0.265287i | ||||
\(673\) | 17.6390 | − | 30.5517i | 0.679934 | − | 1.17768i | −0.295066 | − | 0.955477i | \(-0.595342\pi\) |
0.975000 | − | 0.222203i | \(-0.0713249\pi\) | |||||||
\(674\) | −16.2240 | − | 6.78595i | −0.624926 | − | 0.261385i | ||||
\(675\) | −4.42246 | + | 15.5335i | −0.170220 | + | 0.597886i | ||||
\(676\) | 16.7816 | + | 17.0150i | 0.645446 | + | 0.654425i | ||||
\(677\) | 17.5026 | + | 10.1051i | 0.672679 | + | 0.388372i | 0.797091 | − | 0.603859i | \(-0.206371\pi\) |
−0.124412 | + | 0.992231i | \(0.539704\pi\) | |||||||
\(678\) | 5.77086 | + | 27.1385i | 0.221628 | + | 1.04225i | ||||
\(679\) | 9.96266 | + | 17.2558i | 0.382332 | + | 0.662218i | ||||
\(680\) | 2.47633 | + | 1.94125i | 0.0949631 | + | 0.0744436i | ||||
\(681\) | 0.179468 | + | 2.18164i | 0.00687721 | + | 0.0836007i | ||||
\(682\) | 11.8426 | + | 15.5444i | 0.453475 | + | 0.595226i | ||||
\(683\) | − | 43.6659i | − | 1.67083i | −0.549621 | − | 0.835414i | \(-0.685228\pi\) | ||
0.549621 | − | 0.835414i | \(-0.314772\pi\) | |||||||
\(684\) | −26.2017 | + | 36.0763i | −1.00185 | + | 1.37941i | ||||
\(685\) | 22.4975i | 0.859584i | ||||||||
\(686\) | −3.94839 | + | 3.00810i | −0.150750 | + | 0.114850i | ||||
\(687\) | −11.3772 | − | 5.37730i | −0.434066 | − | 0.205157i | ||||
\(688\) | −0.554368 | − | 0.991582i | −0.0211351 | − | 0.0378037i | ||||
\(689\) | −1.98011 | − | 3.42965i | −0.0754362 | − | 0.130659i | ||||
\(690\) | −7.46252 | − | 8.28657i | −0.284093 | − | 0.315464i | ||||
\(691\) | 7.91193 | + | 4.56796i | 0.300984 | + | 0.173773i | 0.642885 | − | 0.765963i | \(-0.277737\pi\) |
−0.341901 | + | 0.939736i | \(0.611071\pi\) | |||||||
\(692\) | −17.9307 | + | 17.6847i | −0.681623 | + | 0.672271i | ||||
\(693\) | −3.74519 | − | 22.6096i | −0.142268 | − | 0.858867i | ||||
\(694\) | 15.2207 | − | 36.3900i | 0.577769 | − | 1.38134i | ||||
\(695\) | −0.976570 | + | 1.69147i | −0.0370434 | + | 0.0641611i | ||||
\(696\) | 38.9991 | − | 19.5370i | 1.47826 | − | 0.740548i | ||||
\(697\) | −2.79733 | − | 4.84512i | −0.105956 | − | 0.183522i | ||||
\(698\) | 42.1302 | − | 5.39859i | 1.59465 | − | 0.204339i | ||||
\(699\) | 5.82839 | + | 8.41641i | 0.220450 | + | 0.318338i | ||||
\(700\) | 21.7125 | − | 5.65740i | 0.820657 | − | 0.213830i | ||||
\(701\) | − | 44.8665i | − | 1.69458i | −0.531127 | − | 0.847292i | \(-0.678231\pi\) | ||
0.531127 | − | 0.847292i | \(-0.321769\pi\) | |||||||
\(702\) | −1.12509 | + | 7.44832i | −0.0424638 | + | 0.281119i | ||||
\(703\) | 29.8387 | 1.12539 | ||||||||
\(704\) | 16.4423 | − | 4.04248i | 0.619694 | − | 0.152357i | ||||
\(705\) | 14.1543 | − | 9.80188i | 0.533081 | − | 0.369160i | ||||
\(706\) | −3.40807 | − | 26.5963i | −0.128264 | − | 1.00097i | ||||
\(707\) | −20.3277 | + | 11.7362i | −0.764504 | + | 0.441386i | ||||
\(708\) | 18.4362 | − | 21.4394i | 0.692876 | − | 0.805740i | ||||
\(709\) | 23.1529 | + | 13.3673i | 0.869525 | + | 0.502021i | 0.867190 | − | 0.497977i | \(-0.165923\pi\) |
0.00233491 | + | 0.999997i | \(0.499257\pi\) | |||||||
\(710\) | −3.52642 | + | 8.43105i | −0.132344 | + | 0.316412i | ||||
\(711\) | −0.173728 | − | 0.211459i | −0.00651532 | − | 0.00793035i | ||||
\(712\) | 9.41221 | + | 23.4061i | 0.352738 | + | 0.877182i | ||||
\(713\) | 10.8049 | − | 18.7147i | 0.404647 | − | 0.700870i | ||||
\(714\) | 5.31375 | − | 4.78533i | 0.198862 | − | 0.179086i | ||||
\(715\) | −2.58430 | + | 1.49205i | −0.0966474 | + | 0.0557994i | ||||
\(716\) | 23.3540 | + | 6.43090i | 0.872779 | + | 0.240334i | ||||
\(717\) | 8.82630 | − | 18.6745i | 0.329624 | − | 0.697411i | ||||
\(718\) | −32.2204 | + | 24.5473i | −1.20246 | + | 0.916096i | ||||
\(719\) | −37.4738 | −1.39754 | −0.698768 | − | 0.715348i | \(-0.746268\pi\) | ||||
−0.698768 | + | 0.715348i | \(0.746268\pi\) | |||||||
\(720\) | 6.01857 | − | 15.3685i | 0.224299 | − | 0.572752i | ||||
\(721\) | −10.8662 | −0.404680 | ||||||||
\(722\) | 40.7487 | − | 31.0446i | 1.51651 | − | 1.15536i | ||||
\(723\) | −6.22025 | + | 0.511694i | −0.231333 | + | 0.0190301i | ||||
\(724\) | 34.0891 | + | 9.38700i | 1.26691 | + | 0.348865i | ||||
\(725\) | −23.9670 | + | 13.8374i | −0.890112 | + | 0.513907i | ||||
\(726\) | −3.32203 | − | 15.6224i | −0.123292 | − | 0.579803i | ||||
\(727\) | −9.18140 | + | 15.9027i | −0.340519 | + | 0.589797i | −0.984529 | − | 0.175220i | \(-0.943936\pi\) |
0.644010 | + | 0.765017i | \(0.277270\pi\) | |||||||
\(728\) | 9.70933 | − | 3.90437i | 0.359852 | − | 0.144706i | ||||
\(729\) | 23.7916 | − | 12.7656i | 0.881169 | − | 0.472801i | ||||
\(730\) | −0.307676 | + | 0.735600i | −0.0113876 | + | 0.0272258i | ||||
\(731\) | 0.198936 | + | 0.114856i | 0.00735790 | + | 0.00424808i | ||||
\(732\) | 24.8110 | + | 4.68498i | 0.917042 | + | 0.173162i | ||||
\(733\) | 35.6508 | − | 20.5830i | 1.31679 | − | 0.760249i | 0.333580 | − | 0.942722i | \(-0.391743\pi\) |
0.983211 | + | 0.182472i | \(0.0584100\pi\) | |||||||
\(734\) | 2.07483 | + | 16.1918i | 0.0765833 | + | 0.597651i | ||||
\(735\) | 1.17727 | + | 14.3111i | 0.0434242 | + | 0.527873i | ||||
\(736\) | −11.1402 | − | 15.0494i | −0.410635 | − | 0.554727i | ||||
\(737\) | −5.96251 | −0.219632 | ||||||||
\(738\) | −20.1236 | + | 21.3603i | −0.740760 | + | 0.786282i | ||||
\(739\) | − | 45.1004i | − | 1.65905i | −0.558473 | − | 0.829523i | \(-0.688613\pi\) | ||
0.558473 | − | 0.829523i | \(-0.311387\pi\) | |||||||
\(740\) | −10.6886 | + | 2.78501i | −0.392920 | + | 0.102379i | ||||
\(741\) | 5.63806 | − | 11.9289i | 0.207119 | − | 0.438218i | ||||
\(742\) | 19.5600 | − | 2.50643i | 0.718070 | − | 0.0920138i | ||||
\(743\) | −21.7217 | − | 37.6231i | −0.796893 | − | 1.38026i | −0.921630 | − | 0.388070i | \(-0.873142\pi\) |
0.124737 | − | 0.992190i | \(-0.460191\pi\) | |||||||
\(744\) | 31.9280 | + | 1.89181i | 1.17054 | + | 0.0693573i | ||||
\(745\) | 3.90212 | − | 6.75867i | 0.142963 | − | 0.247618i | ||||
\(746\) | −12.2434 | + | 29.2719i | −0.448264 | + | 1.07172i | ||||
\(747\) | −6.44774 | + | 5.29726i | −0.235911 | + | 0.193817i | ||||
\(748\) | −2.43761 | + | 2.40417i | −0.0891280 | + | 0.0879051i | ||||
\(749\) | −1.39846 | − | 0.807404i | −0.0510988 | − | 0.0295019i | ||||
\(750\) | −8.43929 | + | 25.9809i | −0.308159 | + | 0.948689i | ||||
\(751\) | −15.3394 | − | 26.5686i | −0.559742 | − | 0.969501i | −0.997518 | − | 0.0704172i | \(-0.977567\pi\) |
0.437776 | − | 0.899084i | \(-0.355766\pi\) | |||||||
\(752\) | 25.2324 | − | 14.1068i | 0.920131 | − | 0.514422i | ||||
\(753\) | 0.913486 | − | 0.632592i | 0.0332893 | − | 0.0230529i | ||||
\(754\) | −10.2674 | + | 7.82224i | −0.373916 | + | 0.284869i | ||||
\(755\) | − | 19.4571i | − | 0.708118i | ||||||
\(756\) | −32.0547 | − | 19.4801i | −1.16582 | − | 0.708484i | ||||
\(757\) | 2.84137i | 0.103271i | 0.998666 | + | 0.0516357i | \(0.0164435\pi\) | ||||
−0.998666 | + | 0.0516357i | \(0.983557\pi\) | |||||||
\(758\) | 19.4263 | + | 25.4987i | 0.705594 | + | 0.926154i | ||||
\(759\) | 9.97553 | − | 6.90808i | 0.362089 | − | 0.250747i | ||||
\(760\) | −17.8357 | + | 22.7518i | −0.646967 | + | 0.825296i | ||||
\(761\) | 6.52480 | + | 11.3013i | 0.236524 | + | 0.409672i | 0.959714 | − | 0.280977i | \(-0.0906585\pi\) |
−0.723191 | + | 0.690649i | \(0.757325\pi\) | |||||||
\(762\) | −27.5695 | − | 8.95531i | −0.998738 | − | 0.324417i | ||||
\(763\) | −29.2731 | − | 16.9008i | −1.05976 | − | 0.611851i | ||||
\(764\) | −27.3066 | − | 27.6865i | −0.987919 | − | 1.00166i | ||||
\(765\) | 0.545397 | + | 3.29254i | 0.0197189 | + | 0.119042i | ||||
\(766\) | 5.06941 | + | 2.12036i | 0.183165 | + | 0.0766117i | ||||
\(767\) | −4.18370 | + | 7.24637i | −0.151065 | + | 0.261651i | ||||
\(768\) | 12.5298 | − | 24.7185i | 0.452129 | − | 0.891952i | ||||
\(769\) | 13.7846 | + | 23.8756i | 0.497084 | + | 0.860975i | 0.999994 | − | 0.00336360i | \(-0.00107067\pi\) |
−0.502910 | + | 0.864339i | \(0.667737\pi\) | |||||||
\(770\) | −1.88864 | − | 14.7388i | −0.0680618 | − | 0.531150i | ||||
\(771\) | −2.95883 | + | 6.26022i | −0.106560 | + | 0.225456i | ||||
\(772\) | 0.615917 | − | 0.160483i | 0.0221673 | − | 0.00577590i | ||||
\(773\) | − | 15.7109i | − | 0.565082i | −0.959255 | − | 0.282541i | \(-0.908823\pi\) | ||
0.959255 | − | 0.282541i | \(-0.0911774\pi\) | |||||||
\(774\) | 0.277042 | − | 1.17266i | 0.00995805 | − | 0.0421503i | ||||
\(775\) | −20.2927 | −0.728936 | ||||||||
\(776\) | −15.4586 | − | 2.19835i | −0.554933 | − | 0.0789160i | ||||
\(777\) | 2.05802 | + | 25.0177i | 0.0738311 | + | 0.897504i | ||||
\(778\) | 19.3501 | − | 2.47953i | 0.693734 | − | 0.0888953i | ||||
\(779\) | 44.5155 | − | 25.7011i | 1.59494 | − | 0.920836i | ||||
\(780\) | −0.906236 | + | 4.79930i | −0.0324484 | + | 0.171843i | ||||
\(781\) | −8.61171 | − | 4.97197i | −0.308151 | − | 0.177911i | ||||
\(782\) | 3.49287 | + | 1.46095i | 0.124905 | + | 0.0522434i | ||||
\(783\) | 44.4968 | + | 12.6684i | 1.59018 | + | 0.452732i | ||||
\(784\) | −0.333077 | + | 24.1080i | −0.0118956 | + | 0.860999i | ||||
\(785\) | −14.8268 | + | 25.6808i | −0.529193 | + | 0.916589i | ||||
\(786\) | −6.66442 | + | 1.41715i | −0.237712 | + | 0.0505482i | ||||
\(787\) | 12.2138 | − | 7.05164i | 0.435375 | − | 0.251364i | −0.266259 | − | 0.963902i | \(-0.585788\pi\) |
0.701634 | + | 0.712538i | \(0.252454\pi\) | |||||||
\(788\) | −47.2543 | − | 13.0123i | −1.68337 | − | 0.463543i | ||||
\(789\) | 19.4949 | − | 1.60370i | 0.694038 | − | 0.0570934i | ||||
\(790\) | −0.107534 | − | 0.141147i | −0.00382588 | − | 0.00502180i | ||||
\(791\) | 40.8832 | 1.45364 | ||||||||
\(792\) | 15.7545 | + | 8.62114i | 0.559812 | + | 0.306339i | ||||
\(793\) | −7.47175 | −0.265329 | ||||||||
\(794\) | 20.3701 | + | 26.7375i | 0.722907 | + | 0.948879i | ||||
\(795\) | −3.93280 | + | 8.32093i | −0.139482 | + | 0.295113i | ||||
\(796\) | −3.78889 | + | 13.7594i | −0.134294 | + | 0.487691i | ||||
\(797\) | −22.7555 | + | 13.1379i | −0.806040 | + | 0.465367i | −0.845579 | − | 0.533851i | \(-0.820744\pi\) |
0.0395390 | + | 0.999218i | \(0.487411\pi\) | |||||||
\(798\) | 43.9662 | + | 48.8212i | 1.55639 | + | 1.72825i | ||||
\(799\) | −2.92269 | + | 5.06224i | −0.103397 | + | 0.179089i | ||||
\(800\) | −7.00815 | + | 16.1258i | −0.247775 | + | 0.570132i | ||||
\(801\) | −9.41221 | + | 25.0480i | −0.332564 | + | 0.885027i | ||||
\(802\) | 11.6843 | + | 4.88714i | 0.412587 | + | 0.172571i | ||||
\(803\) | −0.751362 | − | 0.433799i | −0.0265150 | − | 0.0153084i | ||||
\(804\) | −6.36289 | + | 7.39935i | −0.224402 | + | 0.260955i | ||||
\(805\) | −14.2305 | + | 8.21599i | −0.501560 | + | 0.289576i | ||||
\(806\) | −9.38785 | + | 1.20296i | −0.330673 | + | 0.0423726i | ||||
\(807\) | 34.5586 | − | 23.9319i | 1.21652 | − | 0.842443i | ||||
\(808\) | 2.58970 | − | 18.2106i | 0.0911053 | − | 0.640647i | ||||
\(809\) | −37.5390 | −1.31980 | −0.659901 | − | 0.751353i | \(-0.729402\pi\) | ||||
−0.659901 | + | 0.751353i | \(0.729402\pi\) | |||||||
\(810\) | 15.7193 | − | 7.70522i | 0.552320 | − | 0.270734i | ||||
\(811\) | 37.7228i | 1.32463i | 0.749227 | + | 0.662314i | \(0.230425\pi\) | ||||
−0.749227 | + | 0.662314i | \(0.769575\pi\) | |||||||
\(812\) | −16.2060 | − | 62.1969i | −0.568718 | − | 2.18268i | ||||
\(813\) | −12.0628 | − | 17.4192i | −0.423061 | − | 0.610917i | ||||
\(814\) | −1.52757 | − | 11.9211i | −0.0535414 | − | 0.417833i | ||||
\(815\) | −10.2633 | − | 17.7766i | −0.359508 | − | 0.622686i | ||||
\(816\) | 0.382225 | + | 5.59063i | 0.0133806 | + | 0.195711i | ||||
\(817\) | −1.05526 | + | 1.82776i | −0.0369188 | + | 0.0639453i | ||||
\(818\) | −27.1820 | − | 11.3693i | −0.950395 | − | 0.397518i | ||||
\(819\) | 10.3904 | + | 3.90437i | 0.363070 | + | 0.136430i | ||||
\(820\) | −13.5472 | + | 13.3613i | −0.473089 | + | 0.466598i | ||||
\(821\) | −1.06427 | − | 0.614456i | −0.0371432 | − | 0.0214446i | 0.481313 | − | 0.876549i | \(-0.340160\pi\) |
−0.518457 | + | 0.855104i | \(0.673493\pi\) | |||||||
\(822\) | −29.7725 | + | 26.8118i | −1.03844 | + | 0.935169i | ||||
\(823\) | −17.4937 | − | 30.2999i | −0.609791 | − | 1.05619i | −0.991275 | − | 0.131813i | \(-0.957920\pi\) |
0.381484 | − | 0.924376i | \(-0.375413\pi\) | |||||||
\(824\) | 5.25342 | − | 6.70146i | 0.183012 | − | 0.233456i | ||||
\(825\) | −10.3017 | − | 4.86899i | −0.358659 | − | 0.169517i | ||||
\(826\) | −25.2500 | − | 33.1429i | −0.878561 | − | 1.15319i | ||||
\(827\) | 48.7311i | 1.69455i | 0.531157 | + | 0.847273i | \(0.321757\pi\) | ||||
−0.531157 | + | 0.847273i | \(0.678243\pi\) | |||||||
\(828\) | 2.07259 | − | 19.7514i | 0.0720274 | − | 0.686407i | ||||
\(829\) | 28.9573i | 1.00573i | 0.864366 | + | 0.502863i | \(0.167720\pi\) | ||||
−0.864366 | + | 0.502863i | \(0.832280\pi\) | |||||||
\(830\) | −4.30381 | + | 3.27888i | −0.149388 | + | 0.113812i | ||||
\(831\) | −1.79137 | − | 21.7763i | −0.0621420 | − | 0.755410i | ||||
\(832\) | −2.28618 | + | 7.87558i | −0.0792590 | + | 0.273036i | ||||
\(833\) | −2.43761 | − | 4.22207i | −0.0844583 | − | 0.146286i | ||||
\(834\) | −3.40229 | + | 0.723478i | −0.117812 | + | 0.0250520i | ||||
\(835\) | −26.2610 | − | 15.1618i | −0.908801 | − | 0.524696i | ||||
\(836\) | −22.0888 | − | 22.3961i | −0.763957 | − | 0.774585i | ||||
\(837\) | 23.6117 | + | 24.3585i | 0.816141 | + | 0.841953i | ||||
\(838\) | 5.50965 | − | 13.1726i | 0.190328 | − | 0.455040i | ||||
\(839\) | 7.66037 | − | 13.2681i | 0.264465 | − | 0.458067i | −0.702958 | − | 0.711231i | \(-0.748138\pi\) |
0.967423 | + | 0.253164i | \(0.0814712\pi\) | |||||||
\(840\) | −20.3060 | − | 13.3847i | −0.700624 | − | 0.461817i | ||||
\(841\) | 25.1380 | + | 43.5402i | 0.866826 | + | 1.50139i | ||||
\(842\) | 32.7543 | − | 4.19715i | 1.12879 | − | 0.144643i | ||||
\(843\) | −32.9488 | + | 2.71046i | −1.13482 | + | 0.0933532i | ||||
\(844\) | −4.07707 | − | 15.6474i | −0.140339 | − | 0.538606i | ||||
\(845\) | 16.4351i | 0.565386i | ||||||||
\(846\) | 29.8402 | + | 7.04977i | 1.02593 | + | 0.242376i | ||||
\(847\) | −23.5347 | −0.808662 | ||||||||
\(848\) | −7.91075 | + | 13.2749i | −0.271656 | + | 0.455861i | ||||
\(849\) | −1.82710 | − | 0.863559i | −0.0627058 | − | 0.0296373i | ||||
\(850\) | −0.451887 | − | 3.52650i | −0.0154996 | − | 0.120958i | ||||
\(851\) | −11.5100 | + | 6.64528i | −0.394556 | + | 0.227797i | ||||
\(852\) | −15.3601 | + | 5.38111i | −0.526228 | + | 0.184354i | ||||
\(853\) | −5.67204 | − | 3.27476i | −0.194207 | − | 0.112126i | 0.399743 | − | 0.916627i | \(-0.369099\pi\) |
−0.593951 | + | 0.804502i | \(0.702433\pi\) | |||||||
\(854\) | 14.3566 | − | 34.3241i | 0.491273 | − | 1.17455i | ||||
\(855\) | −30.2509 | + | 5.01095i | −1.03456 | + | 0.171371i | ||||
\(856\) | 1.17405 | − | 0.472116i | 0.0401282 | − | 0.0161366i | ||||
\(857\) | −6.71094 | + | 11.6237i | −0.229241 | + | 0.397058i | −0.957583 | − | 0.288156i | \(-0.906958\pi\) |
0.728342 | + | 0.685214i | \(0.240291\pi\) | |||||||
\(858\) | −5.05443 | − | 1.64181i | −0.172555 | − | 0.0560505i | ||||
\(859\) | 2.57865 | − | 1.48878i | 0.0879824 | − | 0.0507967i | −0.455363 | − | 0.890306i | \(-0.650491\pi\) |
0.543346 | + | 0.839509i | \(0.317157\pi\) | |||||||
\(860\) | 0.207412 | − | 0.753221i | 0.00707268 | − | 0.0256846i | ||||
\(861\) | 24.6189 | + | 35.5506i | 0.839009 | + | 1.21156i | ||||
\(862\) | 7.20352 | − | 5.48803i | 0.245353 | − | 0.186923i | ||||
\(863\) | −24.3897 | −0.830236 | −0.415118 | − | 0.909768i | \(-0.636260\pi\) | ||||
−0.415118 | + | 0.909768i | \(0.636260\pi\) | |||||||
\(864\) | 27.5110 | − | 10.3510i | 0.935945 | − | 0.352147i | ||||
\(865\) | −17.3196 | −0.588884 | ||||||||
\(866\) | 11.0565 | − | 8.42347i | 0.375716 | − | 0.286241i | ||||
\(867\) | 16.1184 | + | 23.2756i | 0.547410 | + | 0.790480i | ||||
\(868\) | 12.5121 | − | 45.4379i | 0.424687 | − | 1.54226i | ||||
\(869\) | 0.167208 | − | 0.0965378i | 0.00567216 | − | 0.00327482i | ||||
\(870\) | 28.5298 | + | 9.26725i | 0.967252 | + | 0.314189i | ||||
\(871\) | 1.44392 | − | 2.50094i | 0.0489252 | − | 0.0847410i | ||||
\(872\) | 24.5756 | − | 9.88247i | 0.832234 | − | 0.334663i | ||||
\(873\) | −10.5132 | − | 12.7965i | −0.355817 | − | 0.433096i | ||||
\(874\) | −13.4228 | + | 32.0915i | −0.454032 | + | 1.08551i | ||||
\(875\) | 34.8596 | + | 20.1262i | 1.17847 | + | 0.680390i | ||||
\(876\) | −1.34015 | + | 0.469496i | −0.0452795 | + | 0.0158628i | ||||
\(877\) | −4.38552 | + | 2.53198i | −0.148088 | + | 0.0854988i | −0.572213 | − | 0.820105i | \(-0.693915\pi\) |
0.424125 | + | 0.905604i | \(0.360582\pi\) | |||||||
\(878\) | −4.45170 | − | 34.7408i | −0.150237 | − | 1.17244i | ||||
\(879\) | 3.82338 | + | 1.80708i | 0.128960 | + | 0.0609514i | ||||
\(880\) | 10.0028 | + | 5.96089i | 0.337196 | + | 0.200942i | ||||
\(881\) | 28.2318 | 0.951154 | 0.475577 | − | 0.879674i | \(-0.342239\pi\) | ||||
0.475577 | + | 0.879674i | \(0.342239\pi\) | |||||||
\(882\) | −17.5358 | + | 18.6135i | −0.590463 | + | 0.626749i | ||||
\(883\) | − | 28.0994i | − | 0.945619i | −0.881165 | − | 0.472809i | \(-0.843240\pi\) | ||
0.881165 | − | 0.472809i | \(-0.156760\pi\) | |||||||
\(884\) | −0.418106 | − | 1.60465i | −0.0140624 | − | 0.0539702i | ||||
\(885\) | 19.3803 | − | 1.59427i | 0.651462 | − | 0.0535910i | ||||
\(886\) | 38.1480 | − | 4.88830i | 1.28161 | − | 0.164226i | ||||
\(887\) | 0.666005 | + | 1.15356i | 0.0223623 | + | 0.0387326i | 0.876990 | − | 0.480509i | \(-0.159548\pi\) |
−0.854628 | + | 0.519241i | \(0.826215\pi\) | |||||||
\(888\) | −16.4239 | − | 10.8259i | −0.551152 | − | 0.363293i | ||||
\(889\) | −21.3568 | + | 36.9911i | −0.716285 | + | 1.24064i | ||||
\(890\) | −6.69462 | + | 16.0057i | −0.224404 | + | 0.536511i | ||||
\(891\) | 6.14209 | + | 18.0311i | 0.205768 | + | 0.604063i | ||||
\(892\) | 5.93325 | + | 6.01579i | 0.198660 | + | 0.201424i | ||||
\(893\) | −46.5104 | − | 26.8528i | −1.55641 | − | 0.898594i | ||||
\(894\) | 13.5947 | − | 2.89083i | 0.454673 | − | 0.0966838i | ||||
\(895\) | 8.32926 | + | 14.4267i | 0.278417 | + | 0.482232i | ||||
\(896\) | −31.7865 | − | 25.6349i | −1.06191 | − | 0.856402i | ||||
\(897\) | 0.481818 | + | 5.85707i | 0.0160874 | + | 0.195562i | ||||
\(898\) | −36.7698 | + | 28.0132i | −1.22702 | + | 0.934814i | ||||
\(899\) | 58.1297i | 1.93873i | ||||||||
\(900\) | −17.0358 | + | 7.58825i | −0.567859 | + | 0.252942i | ||||
\(901\) | − | 3.12473i | − | 0.104100i | ||||||
\(902\) | −12.5470 | − | 16.4690i | −0.417768 | − | 0.548357i | ||||
\(903\) | −1.60524 | − | 0.758698i | −0.0534189 | − | 0.0252479i | ||||
\(904\) | −19.7655 | + | 25.2136i | −0.657391 | + | 0.838593i | ||||
\(905\) | 12.1580 | + | 21.0582i | 0.404145 | + | 0.699999i | ||||
\(906\) | 25.7490 | − | 23.1885i | 0.855454 | − | 0.770385i | ||||
\(907\) | −0.778677 | − | 0.449569i | −0.0258555 | − | 0.0149277i | 0.487017 | − | 0.873393i | \(-0.338085\pi\) |
−0.512872 | + | 0.858465i | \(0.671418\pi\) | |||||||
\(908\) | −1.79962 | + | 1.77493i | −0.0597226 | + | 0.0589032i | ||||
\(909\) | 15.0745 | − | 12.3848i | 0.499991 | − | 0.410777i | ||||
\(910\) | 6.63946 | + | 2.77706i | 0.220096 | + | 0.0920586i | ||||
\(911\) | 7.53390 | − | 13.0491i | 0.249609 | − | 0.432336i | −0.713808 | − | 0.700341i | \(-0.753031\pi\) |
0.963417 | + | 0.268005i | \(0.0863645\pi\) | |||||||
\(912\) | −51.3651 | + | 3.51178i | −1.70087 | + | 0.116286i | ||||
\(913\) | −2.94360 | − | 5.09846i | −0.0974188 | − | 0.168734i | ||||
\(914\) | −3.73080 | − | 29.1150i | −0.123404 | − | 0.963038i | ||||
\(915\) | 9.88581 | + | 14.2755i | 0.326815 | + | 0.471933i | ||||
\(916\) | −3.66377 | − | 14.0612i | −0.121054 | − | 0.464595i | ||||
\(917\) | 10.0397i | 0.331541i | ||||||||
\(918\) | −3.70726 | + | 4.64571i | −0.122358 | + | 0.153331i | ||||
\(919\) | −28.4761 | −0.939339 | −0.469670 | − | 0.882842i | \(-0.655627\pi\) | ||||
−0.469670 | + | 0.882842i | \(0.655627\pi\) | |||||||
\(920\) | 1.81293 | − | 12.7484i | 0.0597705 | − | 0.420302i | ||||
\(921\) | 22.4204 | − | 15.5262i | 0.738776 | − | 0.511604i | ||||
\(922\) | −52.5925 | + | 6.73922i | −1.73204 | + | 0.221944i | ||||
\(923\) | 4.17092 | − | 2.40808i | 0.137288 | − | 0.0792630i | ||||
\(924\) | 17.2541 | − | 20.0646i | 0.567618 | − | 0.660078i | ||||
\(925\) | 10.8084 | + | 6.24025i | 0.355379 | + | 0.205178i | ||||
\(926\) | 20.8123 | + | 8.70506i | 0.683934 | + | 0.286066i | ||||
\(927\) | 8.91028 | − | 1.47595i | 0.292652 | − | 0.0484767i | ||||
\(928\) | 46.1932 | + | 20.0753i | 1.51637 | + | 0.659003i | ||||
\(929\) | 2.12086 | − | 3.67344i | 0.0695833 | − | 0.120522i | −0.829135 | − | 0.559049i | \(-0.811166\pi\) |
0.898718 | + | 0.438527i | \(0.144500\pi\) | |||||||
\(930\) | 14.7194 | + | 16.3448i | 0.482667 | + | 0.535965i | ||||
\(931\) | 38.7912 | − | 22.3961i | 1.27133 | − | 0.734002i | ||||
\(932\) | −3.13836 | + | 11.3970i | −0.102800 | + | 0.373322i | ||||
\(933\) | 14.6565 | − | 31.0099i | 0.479833 | − | 1.01522i | ||||
\(934\) | 23.1808 | + | 30.4268i | 0.758499 | + | 0.995596i | ||||
\(935\) | −2.35454 | −0.0770016 | ||||||||
\(936\) | −7.43128 | + | 4.52038i | −0.242899 | + | 0.147753i | ||||
\(937\) | −15.1569 | −0.495155 | −0.247578 | − | 0.968868i | \(-0.579634\pi\) | ||||
−0.247578 | + | 0.968868i | \(0.579634\pi\) | |||||||
\(938\) | 8.71452 | + | 11.4386i | 0.284539 | + | 0.373483i | ||||
\(939\) | −56.1219 | + | 4.61674i | −1.83147 | + | 0.150662i | ||||
\(940\) | 19.1669 | + | 5.27793i | 0.625156 | + | 0.172147i | ||||
\(941\) | 36.9463 | − | 21.3310i | 1.20442 | − | 0.695370i | 0.242882 | − | 0.970056i | \(-0.421907\pi\) |
0.961534 | + | 0.274686i | \(0.0885738\pi\) | |||||||
\(942\) | −51.6555 | + | 10.9843i | −1.68303 | + | 0.357886i | ||||
\(943\) | −11.4476 | + | 19.8278i | −0.372785 | + | 0.645683i | ||||
\(944\) | 32.6474 | + | 0.451058i | 1.06258 | + | 0.0146807i | ||||
\(945\) | −6.28779 | − | 25.0177i | −0.204542 | − | 0.813825i | ||||
\(946\) | 0.784246 | + | 0.328023i | 0.0254980 | + | 0.0106650i | ||||
\(947\) | −24.7629 | − | 14.2969i | −0.804686 | − | 0.464585i | 0.0404213 | − | 0.999183i | \(-0.487130\pi\) |
−0.845107 | + | 0.534597i | \(0.820463\pi\) | |||||||
\(948\) | 0.0586349 | − | 0.310522i | 0.00190437 | − | 0.0100853i | ||||
\(949\) | 0.363908 | − | 0.210103i | 0.0118130 | − | 0.00682022i | ||||
\(950\) | 32.4005 | − | 4.15181i | 1.05121 | − | 0.134702i | ||||
\(951\) | −2.28365 | − | 27.7605i | −0.0740524 | − | 0.900195i | ||||
\(952\) | 8.17489 | + | 1.16254i | 0.264950 | + | 0.0376780i | ||||
\(953\) | −28.1424 | −0.911622 | −0.455811 | − | 0.890077i | \(-0.650651\pi\) | ||||
−0.455811 | + | 0.890077i | \(0.650651\pi\) | |||||||
\(954\) | −15.6987 | + | 4.71208i | −0.508263 | + | 0.152559i | ||||
\(955\) | − | 26.7429i | − | 0.865380i | ||||||
\(956\) | 23.0800 | − | 6.01372i | 0.746462 | − | 0.194498i | ||||
\(957\) | −13.9475 | + | 29.5098i | −0.450859 | + | 0.953917i | ||||
\(958\) | 4.90892 | + | 38.3089i | 0.158600 | + | 1.23770i | ||||
\(959\) | 29.5189 | + | 51.1283i | 0.953216 | + | 1.65102i | ||||
\(960\) | 18.0719 | − | 6.05216i | 0.583267 | − | 0.195332i | ||||
\(961\) | −5.81204 | + | 10.0668i | −0.187485 | + | 0.324734i | ||||
\(962\) | 5.37014 | + | 2.24615i | 0.173140 | + | 0.0724187i | ||||
\(963\) | 1.25640 | + | 0.472116i | 0.0404871 | + | 0.0152137i | ||||
\(964\) | −5.06064 | − | 5.13104i | −0.162992 | − | 0.165260i | ||||
\(965\) | 0.379071 | + | 0.218857i | 0.0122027 | + | 0.00704525i | ||||
\(966\) | −27.8323 | − | 9.04068i | −0.895490 | − | 0.290879i | ||||
\(967\) | −6.99023 | − | 12.1074i | −0.224791 | − | 0.389349i | 0.731466 | − | 0.681878i | \(-0.238836\pi\) |
−0.956257 | + | 0.292529i | \(0.905503\pi\) | |||||||
\(968\) | 11.3781 | − | 14.5144i | 0.365707 | − | 0.466510i | ||||
\(969\) | 8.55870 | − | 5.92692i | 0.274945 | − | 0.190400i | ||||
\(970\) | −6.50742 | − | 8.54155i | −0.208941 | − | 0.274253i | ||||
\(971\) | − | 17.5426i | − | 0.562969i | −0.959566 | − | 0.281484i | \(-0.909173\pi\) | ||
0.959566 | − | 0.281484i | \(-0.0908268\pi\) | |||||||
\(972\) | 28.9307 | + | 11.6196i | 0.927952 | + | 0.372700i | ||||
\(973\) | 5.12543i | 0.164314i | ||||||||
\(974\) | −21.5004 | + | 16.3802i | −0.688918 | + | 0.524855i | ||||
\(975\) | 4.53698 | − | 3.14187i | 0.145300 | − | 0.100621i | ||||
\(976\) | 14.2276 | + | 25.4484i | 0.455414 | + | 0.814585i | ||||
\(977\) | 22.7380 | + | 39.3834i | 0.727454 | + | 1.25999i | 0.957956 | + | 0.286916i | \(0.0926300\pi\) |
−0.230502 | + | 0.973072i | \(0.574037\pi\) | |||||||
\(978\) | 11.2935 | − | 34.7678i | 0.361126 | − | 1.11175i | ||||
\(979\) | −16.3486 | − | 9.43888i | −0.522504 | − | 0.301668i | ||||
\(980\) | −11.8051 | + | 11.6432i | −0.377101 | + | 0.371927i | ||||
\(981\) | 26.2995 | + | 9.88247i | 0.839677 | + | 0.315523i | ||||
\(982\) | 7.00265 | − | 16.7421i | 0.223463 | − | 0.534262i | ||||
\(983\) | −5.04836 | + | 8.74402i | −0.161018 | + | 0.278891i | −0.935234 | − | 0.354030i | \(-0.884811\pi\) |
0.774216 | + | 0.632921i | \(0.218144\pi\) | |||||||
\(984\) | −33.8271 | − | 2.00434i | −1.07837 | − | 0.0638961i | ||||
\(985\) | −16.8534 | − | 29.1909i | −0.536994 | − | 0.930100i | ||||
\(986\) | −10.1019 | + | 1.29446i | −0.321709 | + | 0.0412240i | ||||
\(987\) | 19.3063 | − | 40.8478i | 0.614527 | − | 1.30020i | ||||
\(988\) | 14.7430 | − | 3.84144i | 0.469039 | − | 0.122212i | ||||
\(989\) | − | 0.940054i | − | 0.0298920i | ||||||
\(990\) | 3.55064 | + | 11.8292i | 0.112847 | + | 0.375958i | ||||
\(991\) | −17.6057 | −0.559263 | −0.279631 | − | 0.960107i | \(-0.590212\pi\) | ||||
−0.279631 | + | 0.960107i | \(0.590212\pi\) | |||||||
\(992\) | 21.9735 | + | 29.6840i | 0.697658 | + | 0.942467i | ||||
\(993\) | −2.91163 | − | 35.3943i | −0.0923978 | − | 1.12320i | ||||
\(994\) | 3.04816 | + | 23.7876i | 0.0966817 | + | 0.754498i | ||||
\(995\) | −8.49978 | + | 4.90735i | −0.269461 | + | 0.155573i | ||||
\(996\) | −9.46833 | − | 1.78787i | −0.300015 | − | 0.0566509i | ||||
\(997\) | −26.1168 | − | 15.0786i | −0.827128 | − | 0.477543i | 0.0257404 | − | 0.999669i | \(-0.491806\pi\) |
−0.852868 | + | 0.522126i | \(0.825139\pi\) | |||||||
\(998\) | 9.69426 | − | 23.1773i | 0.306866 | − | 0.733664i | ||||
\(999\) | −5.08570 | − | 20.2349i | −0.160904 | − | 0.640203i |
(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 | 72.2.n.b.61.2 | yes | 16 | |
3.2 | odd | 2 | 216.2.n.b.181.7 | 16 | |||
4.3 | odd | 2 | 288.2.r.b.241.6 | 16 | |||
8.3 | odd | 2 | 288.2.r.b.241.3 | 16 | |||
8.5 | even | 2 | inner | 72.2.n.b.61.4 | yes | 16 | |
9.2 | odd | 6 | 648.2.d.k.325.1 | 8 | |||
9.4 | even | 3 | inner | 72.2.n.b.13.4 | yes | 16 | |
9.5 | odd | 6 | 216.2.n.b.37.5 | 16 | |||
9.7 | even | 3 | 648.2.d.j.325.8 | 8 | |||
12.11 | even | 2 | 864.2.r.b.721.3 | 16 | |||
24.5 | odd | 2 | 216.2.n.b.181.5 | 16 | |||
24.11 | even | 2 | 864.2.r.b.721.6 | 16 | |||
36.7 | odd | 6 | 2592.2.d.j.1297.6 | 8 | |||
36.11 | even | 6 | 2592.2.d.k.1297.3 | 8 | |||
36.23 | even | 6 | 864.2.r.b.145.6 | 16 | |||
36.31 | odd | 6 | 288.2.r.b.49.3 | 16 | |||
72.5 | odd | 6 | 216.2.n.b.37.7 | 16 | |||
72.11 | even | 6 | 2592.2.d.k.1297.6 | 8 | |||
72.13 | even | 6 | inner | 72.2.n.b.13.2 | ✓ | 16 | |
72.29 | odd | 6 | 648.2.d.k.325.2 | 8 | |||
72.43 | odd | 6 | 2592.2.d.j.1297.3 | 8 | |||
72.59 | even | 6 | 864.2.r.b.145.3 | 16 | |||
72.61 | even | 6 | 648.2.d.j.325.7 | 8 | |||
72.67 | odd | 6 | 288.2.r.b.49.6 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.2.n.b.13.2 | ✓ | 16 | 72.13 | even | 6 | inner | |
72.2.n.b.13.4 | yes | 16 | 9.4 | even | 3 | inner | |
72.2.n.b.61.2 | yes | 16 | 1.1 | even | 1 | trivial | |
72.2.n.b.61.4 | yes | 16 | 8.5 | even | 2 | inner | |
216.2.n.b.37.5 | 16 | 9.5 | odd | 6 | |||
216.2.n.b.37.7 | 16 | 72.5 | odd | 6 | |||
216.2.n.b.181.5 | 16 | 24.5 | odd | 2 | |||
216.2.n.b.181.7 | 16 | 3.2 | odd | 2 | |||
288.2.r.b.49.3 | 16 | 36.31 | odd | 6 | |||
288.2.r.b.49.6 | 16 | 72.67 | odd | 6 | |||
288.2.r.b.241.3 | 16 | 8.3 | odd | 2 | |||
288.2.r.b.241.6 | 16 | 4.3 | odd | 2 | |||
648.2.d.j.325.7 | 8 | 72.61 | even | 6 | |||
648.2.d.j.325.8 | 8 | 9.7 | even | 3 | |||
648.2.d.k.325.1 | 8 | 9.2 | odd | 6 | |||
648.2.d.k.325.2 | 8 | 72.29 | odd | 6 | |||
864.2.r.b.145.3 | 16 | 72.59 | even | 6 | |||
864.2.r.b.145.6 | 16 | 36.23 | even | 6 | |||
864.2.r.b.721.3 | 16 | 12.11 | even | 2 | |||
864.2.r.b.721.6 | 16 | 24.11 | even | 2 | |||
2592.2.d.j.1297.3 | 8 | 72.43 | odd | 6 | |||
2592.2.d.j.1297.6 | 8 | 36.7 | odd | 6 | |||
2592.2.d.k.1297.3 | 8 | 36.11 | even | 6 | |||
2592.2.d.k.1297.6 | 8 | 72.11 | even | 6 |