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: | \( x^{16} - x^{15} + x^{14} + 2 x^{12} - 4 x^{11} - 8 x^{9} + 4 x^{8} - 16 x^{7} - 32 x^{5} + 32 x^{4} + 64 x^{2} - 128 x + 256 \) |
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 | 61.4 | ||
Root | \(-1.12494 + 0.857038i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 72.61 |
Dual form | 72.2.n.b.13.4 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.179748 | + | 1.40274i | −0.127101 | + | 0.991890i | ||||
\(3\) | 0.986088 | + | 1.42395i | 0.569318 | + | 0.822117i | ||||
\(4\) | −1.93538 | − | 0.504281i | −0.967691 | − | 0.252141i | ||||
\(5\) | −1.19115 | + | 0.687709i | −0.532697 | + | 0.307553i | −0.742114 | − | 0.670274i | \(-0.766177\pi\) |
0.209417 | + | 0.977826i | \(0.432843\pi\) | |||||||
\(6\) | −2.17468 | + | 1.12728i | −0.887811 | + | 0.460209i | ||||
\(7\) | 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 | 0.750191 | − | 0.661221i | \(-0.229961\pi\) |
−0.197539 | + | 0.980295i | \(0.563295\pi\) | |||||||
\(12\) | −1.19039 | − | 3.25315i | −0.343635 | − | 0.939103i | ||||
\(13\) | −0.887751 | + | 0.512543i | −0.246218 | + | 0.142154i | −0.618031 | − | 0.786154i | \(-0.712069\pi\) |
0.371813 | + | 0.928307i | \(0.378736\pi\) | |||||||
\(14\) | 4.06032 | + | 3.09337i | 1.08517 | + | 0.826738i | ||||
\(15\) | −2.15384 | − | 1.01799i | −0.556119 | − | 0.262844i | ||||
\(16\) | 3.49140 | + | 1.95195i | 0.872850 | + | 0.487988i | ||||
\(17\) | 0.808822 | 0.196168 | 0.0980841 | − | 0.995178i | \(-0.468729\pi\) | ||||
0.0980841 | + | 0.995178i | \(0.468729\pi\) | |||||||
\(18\) | −3.74961 | − | 1.98504i | −0.883793 | − | 0.467879i | ||||
\(19\) | − | 7.43122i | − | 1.70484i | −0.522858 | − | 0.852420i | \(-0.675134\pi\) | ||
0.522858 | − | 0.852420i | \(-0.324866\pi\) | |||||||
\(20\) | 2.65212 | − | 0.730306i | 0.593032 | − | 0.163301i | ||||
\(21\) | 6.23057 | − | 0.512543i | 1.35962 | − | 0.111846i | ||||
\(22\) | −1.81392 | + | 2.38093i | −0.386729 | + | 0.507615i | ||||
\(23\) | −1.65498 | − | 2.86652i | −0.345088 | − | 0.597710i | 0.640282 | − | 0.768140i | \(-0.278818\pi\) |
−0.985370 | + | 0.170430i | \(0.945484\pi\) | |||||||
\(24\) | 4.77731 | − | 1.08506i | 0.975163 | − | 0.221487i | ||||
\(25\) | −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 | −0.434603 | − | 0.900622i | \(-0.643111\pi\) |
−0.997263 | + | 0.0739344i | \(0.976444\pi\) | |||||||
\(30\) | 1.81513 | − | 2.83830i | 0.331395 | − | 0.518201i | ||||
\(31\) | 3.26436 | + | 5.65403i | 0.586296 | + | 1.01549i | 0.994713 | + | 0.102698i | \(0.0327476\pi\) |
−0.408417 | + | 0.912796i | \(0.633919\pi\) | |||||||
\(32\) | −3.36566 | + | 4.54668i | −0.594971 | + | 0.803747i | ||||
\(33\) | 0.300550 | + | 3.65354i | 0.0523190 | + | 0.636000i | ||||
\(34\) | −0.145384 | + | 1.13457i | −0.0249332 | + | 0.194577i | ||||
\(35\) | 4.96439i | 0.839136i | ||||||||
\(36\) | 3.45849 | − | 4.90294i | 0.576415 | − | 0.817157i | ||||
\(37\) | 4.01531i | 0.660113i | 0.943961 | + | 0.330057i | \(0.107068\pi\) | ||||
−0.943961 | + | 0.330057i | \(0.892932\pi\) | |||||||
\(38\) | 10.4241 | + | 1.33575i | 1.69101 | + | 0.216687i | ||||
\(39\) | −1.60524 | − | 0.758698i | −0.257043 | − | 0.121489i | ||||
\(40\) | 0.547718 | + | 3.85152i | 0.0866018 | + | 0.608979i | ||||
\(41\) | −3.45852 | − | 5.99034i | −0.540131 | − | 0.935534i | −0.998896 | − | 0.0469764i | \(-0.985041\pi\) |
0.458765 | − | 0.888557i | \(-0.348292\pi\) | |||||||
\(42\) | −0.400967 | + | 8.83202i | −0.0618705 | + | 1.36281i | ||||
\(43\) | −0.245957 | − | 0.142003i | −0.0375081 | − | 0.0216553i | 0.481129 | − | 0.876650i | \(-0.340227\pi\) |
−0.518637 | + | 0.854995i | \(0.673560\pi\) | |||||||
\(44\) | −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 | \(0.989952\pi\) | |||||||
\(48\) | 0.663349 | + | 6.89637i | 0.0957461 | + | 0.995406i | ||||
\(49\) | −3.01378 | − | 5.22003i | −0.430540 | − | 0.745718i | ||||
\(50\) | −3.49656 | − | 2.66387i | −0.494488 | − | 0.376728i | ||||
\(51\) | 0.797570 | + | 1.15172i | 0.111682 | + | 0.161273i | ||||
\(52\) | 1.97660 | − | 0.544290i | 0.274105 | − | 0.0754795i | ||||
\(53\) | 3.86330i | 0.530666i | 0.964157 | + | 0.265333i | \(0.0854818\pi\) | ||||
−0.964157 | + | 0.265333i | \(0.914518\pi\) | |||||||
\(54\) | −0.870856 | − | 7.29668i | −0.118508 | − | 0.992953i | ||||
\(55\) | −2.91107 | −0.392528 | ||||||||
\(56\) | −6.29834 | − | 8.03439i | −0.841650 | − | 1.07364i | ||||
\(57\) | 10.5817 | − | 7.32784i | 1.40158 | − | 0.970597i | ||||
\(58\) | 7.63082 | − | 10.0161i | 1.00198 | − | 1.31518i | ||||
\(59\) | 7.06904 | − | 4.08131i | 0.920310 | − | 0.531341i | 0.0365764 | − | 0.999331i | \(-0.488355\pi\) |
0.883734 | + | 0.467989i | \(0.155021\pi\) | |||||||
\(60\) | 3.65514 | + | 3.05634i | 0.471877 | + | 0.394572i | ||||
\(61\) | 6.31237 | + | 3.64445i | 0.808216 | + | 0.466624i | 0.846336 | − | 0.532650i | \(-0.178804\pi\) |
−0.0381201 | + | 0.999273i | \(0.512137\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | −5.17900 | − | 0.235123i | −0.637491 | − | 0.0289416i | ||||
\(67\) | −2.43973 | + | 1.40858i | −0.298061 | + | 0.172085i | −0.641571 | − | 0.767063i | \(-0.721717\pi\) |
0.343511 | + | 0.939149i | \(0.388384\pi\) | |||||||
\(68\) | −1.56538 | − | 0.407874i | −0.189830 | − | 0.0494620i | ||||
\(69\) | 2.44981 | − | 5.18325i | 0.294923 | − | 0.623990i | ||||
\(70\) | −6.96377 | − | 0.892341i | −0.832330 | − | 0.106655i | ||||
\(71\) | 4.69830 | 0.557586 | 0.278793 | − | 0.960351i | \(-0.410066\pi\) | ||||
0.278793 | + | 0.960351i | \(0.410066\pi\) | |||||||
\(72\) | 6.25591 | + | 5.73267i | 0.737267 | + | 0.675602i | ||||
\(73\) | 0.409922 | 0.0479777 | 0.0239889 | − | 0.999712i | \(-0.492363\pi\) | ||||
0.0239889 | + | 0.999712i | \(0.492363\pi\) | |||||||
\(74\) | −5.63245 | − | 0.721745i | −0.654760 | − | 0.0839012i | ||||
\(75\) | −5.36548 | + | 0.441379i | −0.619552 | + | 0.0509660i | ||||
\(76\) | −3.74743 | + | 14.3822i | −0.429859 | + | 1.64976i | ||||
\(77\) | 6.61576 | − | 3.81961i | 0.753936 | − | 0.435285i | ||||
\(78\) | 1.35280 | − | 2.11536i | 0.153174 | − | 0.239517i | ||||
\(79\) | −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 | 0.361933 | − | 0.932204i | \(-0.382117\pi\) |
−0.626346 | + | 0.779545i | \(0.715450\pi\) | |||||||
\(84\) | −12.3170 | − | 2.14999i | −1.34389 | − | 0.234584i | ||||
\(85\) | −0.963426 | + | 0.556234i | −0.104498 | + | 0.0603321i | ||||
\(86\) | 0.243405 | − | 0.319490i | 0.0262470 | − | 0.0344515i | ||||
\(87\) | −1.26436 | − | 15.3697i | −0.135553 | − | 1.64781i | ||||
\(88\) | 4.71128 | − | 3.69328i | 0.502224 | − | 0.393705i | ||||
\(89\) | 8.91934 | 0.945448 | 0.472724 | − | 0.881210i | \(-0.343271\pi\) | ||||
0.472724 | + | 0.881210i | \(0.343271\pi\) | |||||||
\(90\) | 5.83147 | − | 0.214168i | 0.614691 | − | 0.0225753i | ||||
\(91\) | 3.69992i | 0.387857i | ||||||||
\(92\) | 1.75749 | + | 6.38238i | 0.183231 | + | 0.665409i | ||||
\(93\) | −4.83210 | + | 10.2236i | −0.501066 | + | 1.06014i | ||||
\(94\) | −8.12994 | − | 6.19383i | −0.838540 | − | 0.638845i | ||||
\(95\) | 5.11052 | + | 8.85168i | 0.524328 | + | 0.908163i | ||||
\(96\) | −9.79308 | − | 0.309103i | −0.999502 | − | 0.0315476i | ||||
\(97\) | −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 | 0.753305 | − | 0.657671i | \(-0.228458\pi\) |
−0.192907 | + | 0.981217i | \(0.561792\pi\) | |||||||
\(102\) | −1.75893 | + | 0.911767i | −0.174160 | + | 0.0902784i | ||||
\(103\) | −1.50528 | − | 2.60723i | −0.148320 | − | 0.256898i | 0.782287 | − | 0.622918i | \(-0.214053\pi\) |
−0.930607 | + | 0.366021i | \(0.880720\pi\) | |||||||
\(104\) | 0.408209 | + | 2.87050i | 0.0400282 | + | 0.281476i | ||||
\(105\) | −7.06904 | + | 4.89533i | −0.689868 | + | 0.477735i | ||||
\(106\) | −5.41923 | − | 0.694422i | −0.526362 | − | 0.0674482i | ||||
\(107\) | 0.447393i | 0.0432511i | 0.999766 | + | 0.0216256i | \(0.00688417\pi\) | ||||
−0.999766 | + | 0.0216256i | \(0.993116\pi\) | |||||||
\(108\) | 10.3919 | + | 0.0899786i | 0.999963 | + | 0.00865820i | ||||
\(109\) | 9.36497i | 0.897002i | 0.893782 | + | 0.448501i | \(0.148042\pi\) | ||||
−0.893782 | + | 0.448501i | \(0.851958\pi\) | |||||||
\(110\) | 0.523259 | − | 4.08348i | 0.0498908 | − | 0.389345i | ||||
\(111\) | −5.71760 | + | 3.95945i | −0.542690 | + | 0.375815i | ||||
\(112\) | 12.4023 | − | 7.39078i | 1.17191 | − | 0.698363i | ||||
\(113\) | 5.66349 | + | 9.80944i | 0.532776 | + | 0.922795i | 0.999267 | + | 0.0382692i | \(0.0121844\pi\) |
−0.466492 | + | 0.884526i | \(0.654482\pi\) | |||||||
\(114\) | 8.37705 | + | 16.1606i | 0.784583 | + | 1.51357i | ||||
\(115\) | 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 | ||||
\(120\) | −4.94427 | + | 4.57786i | −0.451348 | + | 0.417900i | ||||
\(121\) | −3.26022 | − | 5.64687i | −0.296384 | − | 0.513351i | ||||
\(122\) | −6.24686 | + | 8.19955i | −0.565564 | + | 0.742353i | ||||
\(123\) | 5.11952 | − | 10.8318i | 0.461612 | − | 0.976667i | ||||
\(124\) | −3.46655 | − | 12.5889i | −0.311305 | − | 1.13051i | ||||
\(125\) | − | 11.1522i | − | 0.997483i | ||||||
\(126\) | −12.9717 | + | 8.13820i | −1.15561 | + | 0.725008i | ||||
\(127\) | −11.8341 | −1.05011 | −0.525053 | − | 0.851069i | \(-0.675955\pi\) | ||||
−0.525053 | + | 0.851069i | \(0.675955\pi\) | |||||||
\(128\) | 8.80665 | − | 7.10232i | 0.778405 | − | 0.627762i | ||||
\(129\) | −0.0403299 | − | 0.490258i | −0.00355085 | − | 0.0431648i | ||||
\(130\) | 1.58607 | + | 1.20836i | 0.139108 | + | 0.105980i | ||||
\(131\) | 2.40891 | − | 1.39079i | 0.210468 | − | 0.121514i | −0.391061 | − | 0.920365i | \(-0.627892\pi\) |
0.601529 | + | 0.798851i | \(0.294559\pi\) | |||||||
\(132\) | 1.26073 | − | 7.22255i | 0.109733 | − | 0.628643i | ||||
\(133\) | −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 | \(0.920416\pi\) | |||||||
\(138\) | 6.83042 | + | 4.36814i | 0.581444 | + | 0.371841i | ||||
\(139\) | 1.22979 | − | 0.710017i | 0.104309 | − | 0.0602229i | −0.446938 | − | 0.894565i | \(-0.647486\pi\) |
0.551247 | + | 0.834342i | \(0.314152\pi\) | |||||||
\(140\) | 2.50345 | − | 9.60800i | 0.211580 | − | 0.812024i | ||||
\(141\) | −12.4754 | + | 1.02626i | −1.05062 | + | 0.0864268i | ||||
\(142\) | −0.844512 | + | 6.59052i | −0.0708699 | + | 0.553064i | ||||
\(143\) | −2.16959 | −0.181430 | ||||||||
\(144\) | −9.16596 | + | 7.74501i | −0.763830 | + | 0.645417i | ||||
\(145\) | 12.2463 | 1.01700 | ||||||||
\(146\) | −0.0736827 | + | 0.575015i | −0.00609802 | + | 0.0475886i | ||||
\(147\) | 4.46119 | − | 9.43888i | 0.367953 | − | 0.778506i | ||||
\(148\) | 2.02485 | − | 7.77116i | 0.166441 | − | 0.638785i | ||||
\(149\) | −4.91390 | + | 2.83704i | −0.402563 | + | 0.232420i | −0.687589 | − | 0.726100i | \(-0.741331\pi\) |
0.285027 | + | 0.958520i | \(0.407998\pi\) | |||||||
\(150\) | 0.345294 | − | 7.60573i | 0.0281932 | − | 0.621006i | ||||
\(151\) | 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 | ||||
\(156\) | 2.72415 | + | 2.27786i | 0.218106 | + | 0.182375i | ||||
\(157\) | 18.6713 | − | 10.7799i | 1.49013 | − | 0.860328i | 0.490196 | − | 0.871612i | \(-0.336925\pi\) |
0.999936 | + | 0.0112838i | \(0.00359181\pi\) | |||||||
\(158\) | −0.102622 | − | 0.0781826i | −0.00816413 | − | 0.00621987i | ||||
\(159\) | −5.50115 | + | 3.80956i | −0.436269 | + | 0.302118i | ||||
\(160\) | 0.882207 | − | 7.73036i | 0.0697446 | − | 0.611139i | ||||
\(161\) | −11.9469 | −0.941548 | ||||||||
\(162\) | 9.53136 | − | 8.43523i | 0.748855 | − | 0.662734i | ||||
\(163\) | 14.9239i | 1.16893i | 0.811418 | + | 0.584466i | \(0.198696\pi\) | ||||
−0.811418 | + | 0.584466i | \(0.801304\pi\) | |||||||
\(164\) | 3.67275 | + | 13.3377i | 0.286793 | + | 1.04150i | ||||
\(165\) | −2.87057 | − | 4.14521i | −0.223474 | − | 0.322704i | ||||
\(166\) | 2.38391 | − | 3.12910i | 0.185028 | − | 0.242865i | ||||
\(167\) | −11.0234 | − | 19.0931i | −0.853019 | − | 1.47747i | −0.878471 | − | 0.477796i | \(-0.841436\pi\) |
0.0254524 | − | 0.999676i | \(-0.491897\pi\) | |||||||
\(168\) | 5.22985 | − | 16.8911i | 0.403492 | − | 1.30318i | ||||
\(169\) | −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 | 0.853547 | − | 0.521016i | \(-0.174447\pi\) |
−0.0244397 | + | 0.999701i | \(0.507780\pi\) | |||||||
\(174\) | 21.7871 | + | 0.989117i | 1.65167 | + | 0.0749847i | ||||
\(175\) | 5.60937 | + | 9.71572i | 0.424029 | + | 0.734439i | ||||
\(176\) | 4.33388 | + | 7.27258i | 0.326678 | + | 0.548192i | ||||
\(177\) | 12.7823 | + | 6.04141i | 0.960775 | + | 0.454100i | ||||
\(178\) | −1.60324 | + | 12.5116i | −0.120168 | + | 0.937780i | ||||
\(179\) | − | 12.1116i | − | 0.905264i | −0.891697 | − | 0.452632i | \(-0.850485\pi\) | ||
0.891697 | − | 0.452632i | \(-0.149515\pi\) | |||||||
\(180\) | −0.747773 | + | 8.21856i | −0.0557357 | + | 0.612575i | ||||
\(181\) | − | 17.6790i | − | 1.31407i | −0.753862 | − | 0.657033i | \(-0.771811\pi\) | ||
0.753862 | − | 0.657033i | \(-0.228189\pi\) | |||||||
\(182\) | −5.19004 | − | 0.665054i | −0.384711 | − | 0.0492970i | ||||
\(183\) | 1.03505 | + | 12.5822i | 0.0765129 | + | 0.930105i | ||||
\(184\) | −9.26875 | + | 1.31809i | −0.683301 | + | 0.0971711i | ||||
\(185\) | −2.76137 | − | 4.78283i | −0.203020 | − | 0.351640i | ||||
\(186\) | −13.4726 | − | 8.61589i | −0.987859 | − | 0.631748i | ||||
\(187\) | 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 | \(-0.0816870\pi\) | |||||||
\(192\) | 2.19388 | − | 13.6816i | 0.158330 | − | 0.987386i | ||||
\(193\) | 0.159120 | + | 0.275604i | 0.0114537 | + | 0.0198384i | 0.871695 | − | 0.490048i | \(-0.163021\pi\) |
−0.860242 | + | 0.509886i | \(0.829687\pi\) | |||||||
\(194\) | −6.21015 | − | 4.73123i | −0.445863 | − | 0.339682i | ||||
\(195\) | 2.43384 | − | 0.200214i | 0.174291 | − | 0.0143376i | ||||
\(196\) | 3.20046 | + | 11.6225i | 0.228604 | + | 0.830181i | ||||
\(197\) | 24.5066i | 1.74602i | 0.487701 | + | 0.873011i | \(0.337836\pi\) | ||||
−0.487701 | + | 0.873011i | \(0.662164\pi\) | |||||||
\(198\) | −4.77215 | − | 7.60649i | −0.339142 | − | 0.540569i | ||||
\(199\) | −7.13579 | −0.505843 | −0.252921 | − | 0.967487i | \(-0.581391\pi\) | ||||
−0.252921 | + | 0.967487i | \(0.581391\pi\) | |||||||
\(200\) | 5.42384 | + | 6.91885i | 0.383523 | + | 0.489237i | ||||
\(201\) | −4.41154 | − | 2.08507i | −0.311166 | − | 0.147069i | ||||
\(202\) | −5.57349 | + | 7.31569i | −0.392149 | + | 0.514730i | ||||
\(203\) | −27.8313 | + | 16.0684i | −1.95337 | + | 1.12778i | ||||
\(204\) | −0.962811 | − | 2.63122i | −0.0674102 | − | 0.184222i | ||||
\(205\) | 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 | ||||
\(210\) | −5.59625 | − | 10.7960i | −0.386178 | − | 0.744994i | ||||
\(211\) | −7.00175 | + | 4.04246i | −0.482020 | + | 0.278294i | −0.721258 | − | 0.692667i | \(-0.756436\pi\) |
0.239238 | + | 0.970961i | \(0.423102\pi\) | |||||||
\(212\) | 1.94819 | − | 7.47697i | 0.133802 | − | 0.513520i | ||||
\(213\) | 4.63294 | + | 6.69014i | 0.317444 | + | 0.458401i | ||||
\(214\) | −0.627578 | − | 0.0804181i | −0.0429003 | − | 0.00549727i | ||||
\(215\) | 0.390628 | 0.0266406 | ||||||||
\(216\) | −1.99415 | + | 14.5610i | −0.135684 | + | 0.990752i | ||||
\(217\) | 23.5646 | 1.59967 | ||||||||
\(218\) | −13.1367 | − | 1.68334i | −0.889727 | − | 0.114010i | ||||
\(219\) | 0.404219 | + | 0.583708i | 0.0273146 | + | 0.0394433i | ||||
\(220\) | 5.63403 | + | 1.46800i | 0.379846 | + | 0.0989724i | ||||
\(221\) | −0.718032 | + | 0.414556i | −0.0483001 | + | 0.0278861i | ||||
\(222\) | −4.52637 | − | 8.73203i | −0.303790 | − | 0.586056i | ||||
\(223\) | −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 | 0.535882 | − | 0.844293i | \(-0.319979\pi\) |
−0.463238 | + | 0.886234i | \(0.653312\pi\) | |||||||
\(228\) | −24.1749 | + | 8.84603i | −1.60102 | + | 0.585842i | ||||
\(229\) | −6.29196 | + | 3.63267i | −0.415785 | + | 0.240053i | −0.693272 | − | 0.720676i | \(-0.743832\pi\) |
0.277487 | + | 0.960729i | \(0.410498\pi\) | |||||||
\(230\) | −3.90174 | + | 5.12138i | −0.257273 | + | 0.337694i | ||||
\(231\) | 11.9627 | + | 5.65403i | 0.787085 | + | 0.372008i | ||||
\(232\) | −19.8195 | + | 15.5369i | −1.30121 | + | 1.02005i | ||||
\(233\) | −5.91061 | −0.387217 | −0.193608 | − | 0.981079i | \(-0.562019\pi\) | ||||
−0.193608 | + | 0.981079i | \(0.562019\pi\) | |||||||
\(234\) | 4.34614 | − | 0.159618i | 0.284116 | − | 0.0104345i | ||||
\(235\) | − | 9.94017i | − | 0.648425i | ||||||
\(236\) | −15.7394 | + | 4.33411i | −1.02455 | + | 0.282126i | ||||
\(237\) | −0.157473 | + | 0.0129541i | −0.0102290 | + | 0.000841462i | ||||
\(238\) | 3.28408 | + | 2.50199i | 0.212875 | + | 0.162180i | ||||
\(239\) | 5.96266 | + | 10.3276i | 0.385692 | + | 0.668039i | 0.991865 | − | 0.127294i | \(-0.0406293\pi\) |
−0.606173 | + | 0.795333i | \(0.707296\pi\) | |||||||
\(240\) | −5.53284 | − | 7.75840i | −0.357143 | − | 0.500803i | ||||
\(241\) | 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 | ||||
\(246\) | 14.2740 | + | 9.12837i | 0.910075 | + | 0.582004i | ||||
\(247\) | 3.80882 | + | 6.59707i | 0.242350 | + | 0.419762i | ||||
\(248\) | 18.2821 | − | 2.59986i | 1.16091 | − | 0.165091i | ||||
\(249\) | −0.394993 | − | 4.80161i | −0.0250316 | − | 0.304289i | ||||
\(250\) | 15.6437 | + | 2.00459i | 0.989393 | + | 0.126781i | ||||
\(251\) | − | 0.641516i | − | 0.0404922i | −0.999795 | − | 0.0202461i | \(-0.993555\pi\) | ||
0.999795 | − | 0.0202461i | \(-0.00644497\pi\) | |||||||
\(252\) | −9.08416 | − | 19.6588i | −0.572249 | − | 1.23839i | ||||
\(253\) | − | 7.00554i | − | 0.440434i | ||||||
\(254\) | 2.12716 | − | 16.6002i | 0.133470 | − | 1.04159i | ||||
\(255\) | −1.74207 | − | 0.823373i | −0.109093 | − | 0.0515616i | ||||
\(256\) | 8.37976 | + | 13.6301i | 0.523735 | + | 0.851881i | ||||
\(257\) | −1.99885 | − | 3.46212i | −0.124685 | − | 0.215961i | 0.796925 | − | 0.604079i | \(-0.206459\pi\) |
−0.921610 | + | 0.388118i | \(0.873125\pi\) | |||||||
\(258\) | 0.694956 | + | 0.0315505i | 0.0432661 | + | 0.00196425i | ||||
\(259\) | 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 | \(0.279871\pi\) | |||||||
\(264\) | 9.90478 | + | 3.06673i | 0.609597 | + | 0.188744i | ||||
\(265\) | −2.65683 | − | 4.60176i | −0.163208 | − | 0.282684i | ||||
\(266\) | 22.9875 | − | 30.1731i | 1.40946 | − | 1.85003i | ||||
\(267\) | 8.79526 | + | 12.7007i | 0.538261 | + | 0.777269i | ||||
\(268\) | 5.43213 | − | 1.49583i | 0.331820 | − | 0.0913722i | ||||
\(269\) | − | 24.2695i | − | 1.47974i | −0.672750 | − | 0.739870i | \(-0.734887\pi\) | ||
0.672750 | − | 0.739870i | \(-0.265113\pi\) | |||||||
\(270\) | 6.05531 | + | 8.09253i | 0.368515 | + | 0.492496i | ||||
\(271\) | 12.2330 | 0.743102 | 0.371551 | − | 0.928413i | \(-0.378826\pi\) | ||||
0.371551 | + | 0.928413i | \(0.378826\pi\) | |||||||
\(272\) | 2.82392 | + | 1.57878i | 0.171225 | + | 0.0957278i | ||||
\(273\) | −5.26849 | + | 3.64845i | −0.318864 | + | 0.220814i | ||||
\(274\) | −18.4004 | − | 14.0184i | −1.11161 | − | 0.846884i | ||||
\(275\) | −5.69719 | + | 3.28928i | −0.343554 | + | 0.198351i | ||||
\(276\) | −7.35514 | + | 8.79617i | −0.442727 | + | 0.529467i | ||||
\(277\) | −10.9249 | − | 6.30750i | −0.656414 | − | 0.378981i | 0.134495 | − | 0.990914i | \(-0.457059\pi\) |
−0.790909 | + | 0.611933i | \(0.790392\pi\) | |||||||
\(278\) | 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 | \(-0.0261291\pi\) | |||||||
\(282\) | 0.802853 | − | 17.6843i | 0.0478092 | − | 1.05308i | ||||
\(283\) | −1.01045 | + | 0.583382i | −0.0600649 | + | 0.0346785i | −0.529732 | − | 0.848165i | \(-0.677707\pi\) |
0.469667 | + | 0.882844i | \(0.344374\pi\) | |||||||
\(284\) | −9.09301 | − | 2.36927i | −0.539571 | − | 0.140590i | ||||
\(285\) | −7.56491 | + | 16.0057i | −0.448107 | + | 0.948093i | ||||
\(286\) | 0.389980 | − | 3.04338i | 0.0230600 | − | 0.179959i | ||||
\(287\) | −24.9662 | −1.47371 | ||||||||
\(288\) | −9.21670 | − | 14.2496i | −0.543099 | − | 0.839669i | ||||
\(289\) | −16.3458 | −0.961518 | ||||||||
\(290\) | −2.20125 | + | 17.1784i | −0.129262 | + | 1.00875i | ||||
\(291\) | −9.52949 | + | 0.783921i | −0.558629 | + | 0.0459543i | ||||
\(292\) | −0.793355 | − | 0.206716i | −0.0464276 | − | 0.0120971i | ||||
\(293\) | 2.11446 | − | 1.22079i | 0.123528 | − | 0.0713191i | −0.436963 | − | 0.899480i | \(-0.643946\pi\) |
0.560491 | + | 0.828161i | \(0.310612\pi\) | |||||||
\(294\) | 12.4384 | + | 7.95453i | 0.725425 | + | 0.463918i | ||||
\(295\) | −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 | ||||
\(300\) | 10.6068 | + | 1.85148i | 0.612386 | + | 0.106895i | ||||
\(301\) | −0.887751 | + | 0.512543i | −0.0511691 | + | 0.0295425i | ||||
\(302\) | 15.9138 | + | 12.1240i | 0.915735 | + | 0.697656i | ||||
\(303\) | 0.923476 | + | 11.2260i | 0.0530523 | + | 0.644914i | ||||
\(304\) | 14.5054 | − | 25.9454i | 0.831942 | − | 1.48807i | ||||
\(305\) | −10.0253 | −0.574046 | ||||||||
\(306\) | −3.03277 | − | 1.60555i | −0.173372 | − | 0.0917829i | ||||
\(307\) | − | 15.7452i | − | 0.898626i | −0.893374 | − | 0.449313i | \(-0.851669\pi\) | ||
0.893374 | − | 0.449313i | \(-0.148331\pi\) | |||||||
\(308\) | −14.7302 | + | 4.05620i | −0.839330 | + | 0.231123i | ||||
\(309\) | 2.22821 | − | 4.71440i | 0.126759 | − | 0.268193i | ||||
\(310\) | 7.69595 | − | 10.1016i | 0.437101 | − | 0.573733i | ||||
\(311\) | 9.90129 | + | 17.1495i | 0.561451 | + | 0.972461i | 0.997370 | + | 0.0724757i | \(0.0230900\pi\) |
−0.435919 | + | 0.899986i | \(0.643577\pi\) | |||||||
\(312\) | −3.68492 | + | 3.41184i | −0.208617 | + | 0.193157i | ||||
\(313\) | 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 | 0.0549932 | − | 0.998487i | \(-0.482486\pi\) |
−0.837218 | + | 0.546869i | \(0.815820\pi\) | |||||||
\(318\) | −4.35502 | − | 8.40146i | −0.244217 | − | 0.471131i | ||||
\(319\) | −9.42233 | − | 16.3200i | −0.527549 | − | 0.913742i | ||||
\(320\) | 10.6851 | + | 2.62703i | 0.597318 | + | 0.146855i | ||||
\(321\) | −0.637065 | + | 0.441169i | −0.0355575 | + | 0.0246237i | ||||
\(322\) | 2.14743 | − | 16.7585i | 0.119672 | − | 0.933912i | ||||
\(323\) | − | 6.01054i | − | 0.334435i | ||||||
\(324\) | 10.1192 | + | 14.8863i | 0.562179 | + | 0.827016i | ||||
\(325\) | − | 3.18620i | − | 0.176739i | ||||||
\(326\) | −20.9344 | − | 2.68255i | −1.15945 | − | 0.148573i | ||||
\(327\) | −13.3352 | + | 9.23469i | −0.737441 | + | 0.510680i | ||||
\(328\) | −19.3695 | + | 2.75450i | −1.06950 | + | 0.152092i | ||||
\(329\) | 13.0425 | + | 22.5903i | 0.719056 | + | 1.24544i | ||||
\(330\) | 6.33065 | − | 3.28158i | 0.348491 | − | 0.180645i | ||||
\(331\) | −17.7569 | − | 10.2520i | −0.976010 | − | 0.563499i | −0.0749465 | − | 0.997188i | \(-0.523879\pi\) |
−0.901063 | + | 0.433688i | \(0.857212\pi\) | |||||||
\(332\) | 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 | ||||
\(336\) | 22.7539 | + | 10.3723i | 1.24133 | + | 0.565855i | ||||
\(337\) | 6.21760 | + | 10.7692i | 0.338694 | + | 0.586635i | 0.984187 | − | 0.177131i | \(-0.0566815\pi\) |
−0.645493 | + | 0.763766i | \(0.723348\pi\) | |||||||
\(338\) | −13.4421 | − | 10.2409i | −0.731154 | − | 0.557033i | ||||
\(339\) | −8.38345 | + | 17.7375i | −0.455326 | + | 0.963368i | ||||
\(340\) | 2.14509 | − | 0.590687i | 0.116334 | − | 0.0320345i | ||||
\(341\) | 13.8180i | 0.748287i | ||||||||
\(342\) | −14.7513 | + | 27.8642i | −0.797658 | + | 1.50672i | ||||
\(343\) | 3.50988 | 0.189515 | ||||||||
\(344\) | −0.632194 | + | 0.495590i | −0.0340856 | + | 0.0267204i | ||||
\(345\) | 0.646483 | + | 7.85877i | 0.0348055 | + | 0.423102i | ||||
\(346\) | −10.7920 | + | 14.1655i | −0.580183 | + | 0.761541i | ||||
\(347\) | 24.1550 | − | 13.9459i | 1.29671 | − | 0.748654i | 0.316873 | − | 0.948468i | \(-0.397367\pi\) |
0.979834 | + | 0.199814i | \(0.0640339\pi\) | |||||||
\(348\) | −5.30367 | + | 30.3839i | −0.284306 | + | 1.62875i | ||||
\(349\) | 26.0103 | + | 15.0171i | 1.39230 | + | 0.803846i | 0.993570 | − | 0.113222i | \(-0.0361171\pi\) |
0.398732 | + | 0.917068i | \(0.369450\pi\) | |||||||
\(350\) | −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 | \(0.998316\pi\) | |||||||
\(354\) | −10.7721 | + | 16.8443i | −0.572533 | + | 0.895266i | ||||
\(355\) | −5.59637 | + | 3.23107i | −0.297024 | + | 0.171487i | ||||
\(356\) | −17.2623 | − | 4.49786i | −0.914901 | − | 0.238386i | ||||
\(357\) | 5.03942 | − | 0.414556i | 0.266715 | − | 0.0219406i | ||||
\(358\) | 16.9895 | + | 2.17704i | 0.897922 | + | 0.115060i | ||||
\(359\) | 28.6420 | 1.51167 | 0.755833 | − | 0.654765i | \(-0.227232\pi\) | ||||
0.755833 | + | 0.654765i | \(0.227232\pi\) | |||||||
\(360\) | −11.3941 | − | 2.52621i | −0.600523 | − | 0.133143i | ||||
\(361\) | −36.2231 | −1.90648 | ||||||||
\(362\) | 24.7990 | + | 3.17776i | 1.30341 | + | 0.167019i | ||||
\(363\) | 4.82598 | − | 10.2107i | 0.253298 | − | 0.535923i | ||||
\(364\) | 1.86580 | − | 7.16075i | 0.0977945 | − | 0.375325i | ||||
\(365\) | −0.488277 | + | 0.281907i | −0.0255576 | + | 0.0147557i | ||||
\(366\) | −17.8357 | − | 0.809727i | −0.932287 | − | 0.0423251i | ||||
\(367\) | 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 | ||||
\(372\) | 14.5076 | − | 17.3499i | 0.752182 | − | 0.899551i | ||||
\(373\) | −19.4301 | + | 11.2180i | −1.00605 | + | 0.580846i | −0.910034 | − | 0.414533i | \(-0.863945\pi\) |
−0.0960206 | + | 0.995379i | \(0.530611\pi\) | |||||||
\(374\) | −1.46714 | + | 1.92575i | −0.0758639 | + | 0.0995780i | ||||
\(375\) | 15.8802 | − | 10.9971i | 0.820048 | − | 0.567885i | ||||
\(376\) | 12.6111 | + | 16.0872i | 0.650368 | + | 0.829634i | ||||
\(377\) | 9.12706 | 0.470068 | ||||||||
\(378\) | −24.3797 | − | 10.4461i | −1.25395 | − | 0.537289i | ||||
\(379\) | 22.6668i | 1.16431i | 0.813077 | + | 0.582157i | \(0.197791\pi\) | ||||
−0.813077 | + | 0.582157i | \(0.802209\pi\) | |||||||
\(380\) | −5.42706 | − | 19.7085i | −0.278403 | − | 1.01103i | ||||
\(381\) | −11.6695 | − | 16.8511i | −0.597845 | − | 0.863310i | ||||
\(382\) | 21.8727 | + | 16.6638i | 1.11910 | + | 0.852594i | ||||
\(383\) | −1.94277 | − | 3.36498i | −0.0992709 | − | 0.171942i | 0.812112 | − | 0.583501i | \(-0.198318\pi\) |
−0.911383 | + | 0.411559i | \(0.864984\pi\) | |||||||
\(384\) | 18.7975 | + | 5.53670i | 0.959254 | + | 0.282544i | ||||
\(385\) | −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 | 0.771282 | − | 0.636494i | \(-0.219616\pi\) |
−0.165579 | + | 0.986197i | \(0.552949\pi\) | |||||||
\(390\) | −0.156629 | + | 3.45004i | −0.00793121 | + | 0.174699i | ||||
\(391\) | −1.33859 | − | 2.31850i | −0.0676953 | − | 0.117252i | ||||
\(392\) | −16.8787 | + | 2.40029i | −0.852504 | + | 0.121233i | ||||
\(393\) | 4.35581 | + | 2.05873i | 0.219721 | + | 0.103849i | ||||
\(394\) | −34.3765 | − | 4.40501i | −1.73186 | − | 0.221921i | ||||
\(395\) | − | 0.125471i | − | 0.00631315i | ||||||
\(396\) | 11.5277 | − | 5.32686i | 0.579291 | − | 0.267685i | ||||
\(397\) | 23.7680i | 1.19288i | 0.802657 | + | 0.596441i | \(0.203419\pi\) | ||||
−0.802657 | + | 0.596441i | \(0.796581\pi\) | |||||||
\(398\) | 1.28265 | − | 10.0097i | 0.0642932 | − | 0.501740i | ||||
\(399\) | −3.80882 | − | 46.3008i | −0.190680 | − | 2.31794i | ||||
\(400\) | −10.6803 | + | 6.36461i | −0.534015 | + | 0.318230i | ||||
\(401\) | −4.47782 | − | 7.75581i | −0.223612 | − | 0.387307i | 0.732290 | − | 0.680992i | \(-0.238451\pi\) |
−0.955902 | + | 0.293686i | \(0.905118\pi\) | |||||||
\(402\) | 3.71778 | − | 5.81347i | 0.185426 | − | 0.289950i | ||||
\(403\) | −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 | ||||
\(408\) | 3.86399 | − | 0.877620i | 0.191296 | − | 0.0434487i | ||||
\(409\) | 10.4170 | + | 18.0429i | 0.515090 | + | 0.892162i | 0.999847 | + | 0.0175128i | \(0.00557480\pi\) |
−0.484757 | + | 0.874649i | \(0.661092\pi\) | |||||||
\(410\) | −8.15372 | + | 10.7025i | −0.402683 | + | 0.528557i | ||||
\(411\) | −28.2355 | + | 2.32273i | −1.39275 | + | 0.114572i | ||||
\(412\) | 1.59852 | + | 5.80506i | 0.0787534 | + | 0.285995i | ||||
\(413\) | − | 29.4619i | − | 1.44973i | ||||||
\(414\) | 0.515400 | + | 14.0335i | 0.0253305 | + | 0.689711i | ||||
\(415\) | 3.82582 | 0.187802 | ||||||||
\(416\) | 0.657501 | − | 5.76137i | 0.0322366 | − | 0.282474i | ||||
\(417\) | 2.22371 | + | 1.05101i | 0.108895 | + | 0.0514683i | ||||
\(418\) | 17.6932 | + | 13.4796i | 0.865403 | + | 0.659311i | ||||
\(419\) | 8.74372 | − | 5.04819i | 0.427159 | − | 0.246620i | −0.270977 | − | 0.962586i | \(-0.587347\pi\) |
0.698135 | + | 0.715966i | \(0.254013\pi\) | |||||||
\(420\) | 16.1499 | − | 5.90955i | 0.788035 | − | 0.288356i | ||||
\(421\) | 20.2218 | + | 11.6751i | 0.985551 | + | 0.569008i | 0.903941 | − | 0.427656i | \(-0.140661\pi\) |
0.0816096 | + | 0.996664i | \(0.473994\pi\) | |||||||
\(422\) | −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 | ||||
\(426\) | −10.2173 | + | 5.29629i | −0.495031 | + | 0.256606i | ||||
\(427\) | 22.7837 | − | 13.1542i | 1.10258 | − | 0.636575i | ||||
\(428\) | 0.225612 | − | 0.865876i | 0.0109054 | − | 0.0418537i | ||||
\(429\) | −2.13941 | − | 3.08939i | −0.103292 | − | 0.149157i | ||||
\(430\) | −0.0702147 | + | 0.547951i | −0.00338605 | + | 0.0264245i | ||||
\(431\) | −6.40348 | −0.308445 | −0.154222 | − | 0.988036i | \(-0.549287\pi\) | ||||
−0.154222 | + | 0.988036i | \(0.549287\pi\) | |||||||
\(432\) | −20.0669 | − | 5.41459i | −0.965471 | − | 0.260510i | ||||
\(433\) | −9.82857 | −0.472331 | −0.236166 | − | 0.971713i | \(-0.575891\pi\) | ||||
−0.236166 | + | 0.971713i | \(0.575891\pi\) | |||||||
\(434\) | −4.23569 | + | 33.0550i | −0.203319 | + | 1.58669i | ||||
\(435\) | 12.0759 | + | 17.4381i | 0.578997 | + | 0.836094i | ||||
\(436\) | 4.72258 | − | 18.1248i | 0.226171 | − | 0.868020i | ||||
\(437\) | −21.3017 | + | 12.2986i | −1.01900 | + | 0.588320i | ||||
\(438\) | −0.891450 | + | 0.462096i | −0.0425951 | + | 0.0220798i | ||||
\(439\) | −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 | 0.941140 | − | 0.338016i | \(-0.109756\pi\) |
0.177840 | + | 0.984059i | \(0.443089\pi\) | |||||||
\(444\) | 13.0624 | − | 4.77977i | 0.619915 | − | 0.226838i | ||||
\(445\) | −10.6242 | + | 6.13391i | −0.503637 | + | 0.290775i | ||||
\(446\) | −4.75255 | − | 3.62075i | −0.225040 | − | 0.171448i | ||||
\(447\) | −8.88535 | − | 4.19957i | −0.420262 | − | 0.198633i | ||||
\(448\) | −27.7302 | + | 8.04973i | −1.31013 | + | 0.380314i | ||||
\(449\) | 32.6861 | 1.54255 | 0.771276 | − | 0.636501i | \(-0.219619\pi\) | ||||
0.771276 | + | 0.636501i | \(0.219619\pi\) | |||||||
\(450\) | 11.1707 | − | 7.00825i | 0.526590 | − | 0.330372i | ||||
\(451\) | − | 14.6399i | − | 0.689367i | ||||||
\(452\) | −6.01428 | − | 21.8410i | −0.282888 | − | 1.02731i | ||||
\(453\) | 24.4197 | − | 2.00883i | 1.14734 | − | 0.0943831i | ||||
\(454\) | −1.08315 | + | 1.42173i | −0.0508346 | + | 0.0667249i | ||||
\(455\) | −2.54447 | − | 4.40714i | −0.119286 | − | 0.206610i | ||||
\(456\) | −8.06332 | − | 35.5012i | −0.377599 | − | 1.66250i | ||||
\(457\) | −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 | \(-0.995438\pi\) |
−0.512359 | − | 0.858771i | \(-0.671228\pi\) | |||||||
\(462\) | −10.0814 | + | 15.7642i | −0.469030 | + | 0.733419i | ||||
\(463\) | −7.97597 | − | 13.8148i | −0.370675 | − | 0.642028i | 0.618995 | − | 0.785395i | \(-0.287540\pi\) |
−0.989670 | + | 0.143367i | \(0.954207\pi\) | |||||||
\(464\) | −18.2318 | − | 30.5944i | −0.846390 | − | 1.42031i | ||||
\(465\) | −1.27515 | − | 15.5009i | −0.0591336 | − | 0.718839i | ||||
\(466\) | 1.06242 | − | 8.29107i | 0.0492157 | − | 0.384077i | ||||
\(467\) | 27.0476i | 1.25161i | 0.779979 | + | 0.625806i | \(0.215230\pi\) | ||||
−0.779979 | + | 0.625806i | \(0.784770\pi\) | |||||||
\(468\) | −0.557309 | + | 6.12522i | −0.0257616 | + | 0.283138i | ||||
\(469\) | 10.1682i | 0.469523i | ||||||||
\(470\) | 13.9435 | + | 1.78673i | 0.643166 | + | 0.0824156i | ||||
\(471\) | 33.7616 | + | 15.9571i | 1.55565 | + | 0.735263i | ||||
\(472\) | −3.25051 | − | 22.8574i | −0.149617 | − | 1.05210i | ||||
\(473\) | −0.300550 | − | 0.520568i | −0.0138193 | − | 0.0239357i | ||||
\(474\) | 0.0101341 | − | 0.223223i | 0.000465476 | − | 0.0102530i | ||||
\(475\) | 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 | \(-0.0477910\pi\) | |||||||
\(480\) | 11.8776 | − | 6.36660i | 0.542134 | − | 0.290594i | ||||
\(481\) | −2.05802 | − | 3.56460i | −0.0938377 | − | 0.162532i | ||||
\(482\) | 4.05359 | + | 3.08825i | 0.184636 | + | 0.140666i | ||||
\(483\) | −11.7807 | − | 17.0118i | −0.536041 | − | 0.774063i | ||||
\(484\) | 3.46216 | + | 12.5729i | 0.157371 | + | 0.571496i | ||||
\(485\) | − | 7.59291i | − | 0.344776i | ||||||
\(486\) | 21.4101 | + | 5.25429i | 0.971182 | + | 0.238339i | ||||
\(487\) | 19.1126 | 0.866073 | 0.433036 | − | 0.901376i | \(-0.357442\pi\) | ||||
0.433036 | + | 0.901376i | \(0.357442\pi\) | |||||||
\(488\) | 16.2249 | − | 12.7191i | 0.734469 | − | 0.575766i | ||||
\(489\) | −21.2509 | + | 14.7163i | −0.960999 | + | 0.665494i | ||||
\(490\) | −7.10521 | + | 9.32621i | −0.320981 | + | 0.421315i | ||||
\(491\) | 11.1131 | − | 6.41614i | 0.501526 | − | 0.289556i | −0.227817 | − | 0.973704i | \(-0.573159\pi\) |
0.729344 | + | 0.684147i | \(0.239826\pi\) | |||||||
\(492\) | −15.3705 | + | 18.3819i | −0.692955 | + | 0.828721i | ||||
\(493\) | −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 | ||||
\(498\) | 6.80642 | + | 0.309006i | 0.305003 | + | 0.0138469i | ||||
\(499\) | 15.3846 | − | 8.88232i | 0.688711 | − | 0.397627i | −0.114418 | − | 0.993433i | \(-0.536500\pi\) |
0.803129 | + | 0.595805i | \(0.203167\pi\) | |||||||
\(500\) | −5.62385 | + | 21.5838i | −0.251506 | + | 0.965255i | ||||
\(501\) | 16.3176 | − | 34.5243i | 0.729015 | − | 1.54243i | ||||
\(502\) | 0.899883 | + | 0.115311i | 0.0401638 | + | 0.00514660i | ||||
\(503\) | −24.0108 | −1.07059 | −0.535294 | − | 0.844666i | \(-0.679799\pi\) | ||||
−0.535294 | + | 0.844666i | \(0.679799\pi\) | |||||||
\(504\) | 29.2092 | − | 9.20911i | 1.30108 | − | 0.410207i | ||||
\(505\) | −8.94461 | −0.398030 | ||||||||
\(506\) | 9.82698 | + | 1.25923i | 0.436862 | + | 0.0559797i | ||||
\(507\) | −20.6269 | + | 1.69683i | −0.916075 | + | 0.0753587i | ||||
\(508\) | 22.9035 | + | 5.96771i | 1.01618 | + | 0.264775i | ||||
\(509\) | 6.91916 | − | 3.99478i | 0.306686 | − | 0.177065i | −0.338756 | − | 0.940874i | \(-0.610006\pi\) |
0.645443 | + | 0.763809i | \(0.276673\pi\) | |||||||
\(510\) | 1.46812 | − | 2.29568i | 0.0650092 | − | 0.101654i | ||||
\(511\) | 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 | ||||
\(516\) | −0.169174 | + | 0.969174i | −0.00744748 | + | 0.0426655i | ||||
\(517\) | −13.2467 | + | 7.64798i | −0.582589 | + | 0.336358i | ||||
\(518\) | −12.4208 | + | 16.3034i | −0.545741 | + | 0.716332i | ||||
\(519\) | 1.78814 | + | 21.7370i | 0.0784907 | + | 0.954147i | ||||
\(520\) | −2.46031 | − | 3.13846i | −0.107892 | − | 0.137631i | ||||
\(521\) | −36.9809 | −1.62016 | −0.810082 | − | 0.586317i | \(-0.800577\pi\) | ||||
−0.810082 | + | 0.586317i | \(0.800577\pi\) | |||||||
\(522\) | 20.0755 | + | 31.9990i | 0.878683 | + | 1.40056i | ||||
\(523\) | − | 18.4217i | − | 0.805526i | −0.915304 | − | 0.402763i | \(-0.868050\pi\) | ||
0.915304 | − | 0.402763i | \(-0.131950\pi\) | |||||||
\(524\) | −5.36351 | + | 1.47693i | −0.234306 | + | 0.0645201i | ||||
\(525\) | −8.30334 | + | 17.5680i | −0.362388 | + | 0.766731i | ||||
\(526\) | −12.7044 | − | 9.67890i | −0.553938 | − | 0.422020i | ||||
\(527\) | 2.64028 | + | 4.57311i | 0.115013 | + | 0.199208i | ||||
\(528\) | −6.08220 | + | 13.3426i | −0.264694 | + | 0.580663i | ||||
\(529\) | 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 | ||||
\(534\) | −19.3967 | + | 10.0546i | −0.839379 | + | 0.435104i | ||||
\(535\) | −0.307676 | − | 0.532911i | −0.0133020 | − | 0.0230397i | ||||
\(536\) | 1.12185 | + | 7.88876i | 0.0484564 | + | 0.340743i | ||||
\(537\) | 17.2463 | − | 11.9431i | 0.744233 | − | 0.515384i | ||||
\(538\) | 34.0439 | + | 4.36241i | 1.46774 | + | 0.188077i | ||||
\(539\) | − | 12.7573i | − | 0.549497i | ||||||
\(540\) | −12.4402 | + | 7.03943i | −0.535340 | + | 0.302929i | ||||
\(541\) | 13.5032i | 0.580549i | 0.956943 | + | 0.290275i | \(0.0937467\pi\) | ||||
−0.956943 | + | 0.290275i | \(0.906253\pi\) | |||||||
\(542\) | −2.19886 | + | 17.1598i | −0.0944491 | + | 0.737075i | ||||
\(543\) | 25.1739 | − | 17.4330i | 1.08032 | − | 0.748122i | ||||
\(544\) | −2.72222 | + | 3.67746i | −0.116714 | + | 0.157670i | ||||
\(545\) | −6.44038 | − | 11.1551i | −0.275875 | − | 0.477830i | ||||
\(546\) | −4.17083 | − | 8.04615i | −0.178495 | − | 0.344343i | ||||
\(547\) | −32.2252 | − | 18.6052i | −1.37785 | − | 0.795501i | −0.385948 | − | 0.922520i | \(-0.626126\pi\) |
−0.991900 | + | 0.127019i | \(0.959459\pi\) | |||||||
\(548\) | 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 | ||||
\(552\) | −11.0167 | − | 11.8985i | −0.468902 | − | 0.506432i | ||||
\(553\) | 0.164631 | + | 0.285149i | 0.00700082 | + | 0.0121258i | ||||
\(554\) | 10.8115 | − | 14.1911i | 0.459338 | − | 0.602922i | ||||
\(555\) | 4.08755 | − | 8.64833i | 0.173507 | − | 0.367101i | ||||
\(556\) | −2.73815 | + | 0.753996i | −0.116124 | + | 0.0319765i | ||||
\(557\) | 16.9602i | 0.718628i | 0.933217 | + | 0.359314i | \(0.116989\pi\) | ||||
−0.933217 | + | 0.359314i | \(0.883011\pi\) | |||||||
\(558\) | −1.01659 | − | 27.6803i | −0.0430359 | − | 1.17180i | ||||
\(559\) | 0.291131 | 0.0123135 | ||||||||
\(560\) | −9.69027 | + | 17.3327i | −0.409489 | + | 0.732440i | ||||
\(561\) | 0.243091 | + | 2.95506i | 0.0102633 | + | 0.124763i | ||||
\(562\) | 21.4720 | + | 16.3585i | 0.905742 | + | 0.690043i | ||||
\(563\) | −25.0083 | + | 14.4385i | −1.05397 | + | 0.608512i | −0.923759 | − | 0.382974i | \(-0.874900\pi\) |
−0.130214 | + | 0.991486i | \(0.541566\pi\) | |||||||
\(564\) | 24.6622 | + | 4.30492i | 1.03847 | + | 0.181270i | ||||
\(565\) | −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 | \(0.137260\pi\) | |||||||
\(570\) | −21.0921 | − | 13.4886i | −0.883449 | − | 0.564976i | ||||
\(571\) | −28.6730 | + | 16.5544i | −1.19993 | + | 0.692779i | −0.960539 | − | 0.278144i | \(-0.910281\pi\) |
−0.239390 | + | 0.970924i | \(0.576947\pi\) | |||||||
\(572\) | 4.19899 | + | 1.09408i | 0.175568 | + | 0.0457460i | ||||
\(573\) | 33.5637 | − | 2.76104i | 1.40214 | − | 0.115344i | ||||
\(574\) | 4.48763 | − | 35.0212i | 0.187310 | − | 1.46176i | ||||
\(575\) | 10.2881 | 0.429045 | ||||||||
\(576\) | 21.6453 | − | 10.3673i | 0.901887 | − | 0.431972i | ||||
\(577\) | 11.4122 | 0.475097 | 0.237548 | − | 0.971376i | \(-0.423656\pi\) | ||||
0.237548 | + | 0.971376i | \(0.423656\pi\) | |||||||
\(578\) | 2.93813 | − | 22.9290i | 0.122210 | − | 0.953720i | ||||
\(579\) | −0.235540 | + | 0.498349i | −0.00978870 | + | 0.0207107i | ||||
\(580\) | −23.7013 | − | 6.17559i | −0.984142 | − | 0.256427i | ||||
\(581\) | −8.69466 | + | 5.01986i | −0.360715 | + | 0.208259i | ||||
\(582\) | 0.613268 | − | 13.5083i | 0.0254208 | − | 0.559939i | ||||
\(583\) | −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 | −0.0437275 | − | 0.999043i | \(-0.513923\pi\) |
−0.887061 | + | 0.461653i | \(0.847257\pi\) | |||||||
\(588\) | −13.3940 | + | 16.0181i | −0.552357 | + | 0.660577i | ||||
\(589\) | 42.0164 | − | 24.2582i | 1.73125 | − | 0.999540i | ||||
\(590\) | −12.6297 | − | 9.62199i | −0.519956 | − | 0.396131i | ||||
\(591\) | −34.8961 | + | 24.1657i | −1.43543 | + | 0.994042i | ||||
\(592\) | −7.83770 | + | 14.0191i | −0.322128 | + | 0.576180i | ||||
\(593\) | 5.75114 | 0.236171 | 0.118086 | − | 0.993003i | \(-0.462324\pi\) | ||||
0.118086 | + | 0.993003i | \(0.462324\pi\) | |||||||
\(594\) | 6.12548 | − | 14.2960i | 0.251331 | − | 0.586571i | ||||
\(595\) | 4.01531i | 0.164612i | ||||||||
\(596\) | 10.9409 | − | 3.01277i | 0.448158 | − | 0.123408i | ||||
\(597\) | −7.03652 | − | 10.1610i | −0.287986 | − | 0.415862i | ||||
\(598\) | −2.90793 | + | 3.81692i | −0.118914 | + | 0.156085i | ||||
\(599\) | −8.10409 | − | 14.0367i | −0.331124 | − | 0.573524i | 0.651608 | − | 0.758556i | \(-0.274095\pi\) |
−0.982733 | + | 0.185032i | \(0.940761\pi\) | |||||||
\(600\) | −4.50371 | + | 14.5459i | −0.183863 | + | 0.593833i | ||||
\(601\) | 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 | ||||
\(606\) | −15.9131 | − | 0.722444i | −0.646427 | − | 0.0293473i | ||||
\(607\) | −3.82627 | − | 6.62730i | −0.155304 | − | 0.268994i | 0.777866 | − | 0.628430i | \(-0.216302\pi\) |
−0.933170 | + | 0.359437i | \(0.882969\pi\) | |||||||
\(608\) | 33.7874 | + | 25.0110i | 1.37026 | + | 1.01433i | ||||
\(609\) | −50.3246 | − | 23.7854i | −2.03926 | − | 0.963834i | ||||
\(610\) | 1.80203 | − | 14.0629i | 0.0729619 | − | 0.569390i | ||||
\(611\) | − | 7.40831i | − | 0.299708i | ||||||
\(612\) | 2.79730 | − | 3.96561i | 0.113074 | − | 0.160300i | ||||
\(613\) | − | 27.6512i | − | 1.11682i | −0.829565 | − | 0.558410i | \(-0.811412\pi\) | ||
0.829565 | − | 0.558410i | \(-0.188588\pi\) | |||||||
\(614\) | 22.0865 | + | 2.83017i | 0.891338 | + | 0.114216i | ||||
\(615\) | 1.35100 | + | 16.4230i | 0.0544774 | + | 0.662238i | ||||
\(616\) | −3.04209 | − | 21.3918i | −0.122569 | − | 0.861899i | ||||
\(617\) | −12.6938 | − | 21.9863i | −0.511034 | − | 0.885136i | −0.999918 | − | 0.0127878i | \(-0.995929\pi\) |
0.488885 | − | 0.872348i | \(-0.337404\pi\) | |||||||
\(618\) | 6.21258 | + | 3.97302i | 0.249907 | + | 0.159818i | ||||
\(619\) | −19.8583 | − | 11.4652i | −0.798171 | − | 0.460824i | 0.0446605 | − | 0.999002i | \(-0.485779\pi\) |
−0.842831 | + | 0.538178i | \(0.819113\pi\) | |||||||
\(620\) | 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 | ||||
\(624\) | −4.12358 | − | 5.78227i | −0.165075 | − | 0.231476i | ||||
\(625\) | −0.101100 | − | 0.175110i | −0.00404398 | − | 0.00700439i | ||||
\(626\) | 36.5734 | + | 27.8636i | 1.46177 | + | 1.11365i | ||||
\(627\) | 27.1503 | − | 2.23345i | 1.08428 | − | 0.0891955i | ||||
\(628\) | −41.5722 | + | 11.4476i | −1.65891 | + | 0.456809i | ||||
\(629\) | 3.24767i | 0.129493i | ||||||||
\(630\) | 9.85453 | − | 18.6146i | 0.392614 | − | 0.741622i | ||||
\(631\) | 23.2785 | 0.926701 | 0.463350 | − | 0.886175i | \(-0.346647\pi\) | ||||
0.463350 | + | 0.886175i | \(0.346647\pi\) | |||||||
\(632\) | 0.159186 | + | 0.203063i | 0.00633207 | + | 0.00807742i | ||||
\(633\) | −12.6606 | − | 5.98390i | −0.503214 | − | 0.237839i | ||||
\(634\) | 13.7826 | − | 18.0909i | 0.547377 | − | 0.718480i | ||||
\(635\) | 14.0961 | − | 8.13841i | 0.559388 | − | 0.322963i | ||||
\(636\) | 12.5679 | − | 4.59882i | 0.498350 | − | 0.182355i | ||||
\(637\) | 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 | \(0.925185\pi\) | |||||||
\(642\) | −0.504336 | − | 0.972938i | −0.0199046 | − | 0.0383988i | ||||
\(643\) | 34.0047 | − | 19.6326i | 1.34102 | − | 0.774236i | 0.354059 | − | 0.935223i | \(-0.384801\pi\) |
0.986956 | + | 0.160987i | \(0.0514678\pi\) | |||||||
\(644\) | 23.1218 | + | 6.02460i | 0.911127 | + | 0.237403i | ||||
\(645\) | 0.385194 | + | 0.556234i | 0.0151670 | + | 0.0219017i | ||||
\(646\) | 8.43125 | + | 1.08038i | 0.331723 | + | 0.0425071i | ||||
\(647\) | 44.5092 | 1.74984 | 0.874918 | − | 0.484271i | \(-0.160915\pi\) | ||||
0.874918 | + | 0.484271i | \(0.160915\pi\) | |||||||
\(648\) | −22.7006 | + | 11.5189i | −0.891762 | + | 0.452505i | ||||
\(649\) | 17.2762 | 0.678149 | ||||||||
\(650\) | 4.46942 | + | 0.572714i | 0.175305 | + | 0.0224637i | ||||
\(651\) | 23.2367 | + | 33.5547i | 0.910719 | + | 1.31511i | ||||
\(652\) | 7.52586 | − | 28.8835i | 0.294735 | − | 1.13116i | ||||
\(653\) | 15.7763 | − | 9.10843i | 0.617373 | − | 0.356440i | −0.158473 | − | 0.987363i | \(-0.550657\pi\) |
0.775845 | + | 0.630923i | \(0.217324\pi\) | |||||||
\(654\) | −10.5569 | − | 20.3659i | −0.412808 | − | 0.796368i | ||||
\(655\) | −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 | −0.415049 | − | 0.909799i | \(-0.636236\pi\) |
−0.995434 | + | 0.0954566i | \(0.969569\pi\) | |||||||
\(660\) | 3.46530 | + | 9.47014i | 0.134886 | + | 0.368625i | ||||
\(661\) | 9.78973 | − | 5.65210i | 0.380776 | − | 0.219841i | −0.297380 | − | 0.954759i | \(-0.596113\pi\) |
0.678156 | + | 0.734918i | \(0.262779\pi\) | |||||||
\(662\) | 17.5727 | − | 23.0657i | 0.682981 | − | 0.896472i | ||||
\(663\) | −1.29835 | − | 0.613652i | −0.0504237 | − | 0.0238323i | ||||
\(664\) | −6.19173 | + | 4.85383i | −0.240286 | + | 0.188365i | ||||
\(665\) | 36.8915 | 1.43059 | ||||||||
\(666\) | 7.97056 | − | 15.0559i | 0.308853 | − | 0.583403i | ||||
\(667\) | 29.4710i | 1.14112i | ||||||||
\(668\) | 11.7062 | + | 42.5114i | 0.452927 | + | 1.64482i | ||||
\(669\) | −7.29280 | + | 0.599925i | −0.281956 | + | 0.0231945i | ||||
\(670\) | 4.35888 | + | 3.32083i | 0.168398 | + | 0.128295i | ||||
\(671\) | 7.71346 | + | 13.3601i | 0.297775 | + | 0.515761i | ||||
\(672\) | −18.6396 | + | 30.0535i | −0.719039 | + | 1.15934i | ||||
\(673\) | 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 | 0.124412 | − | 0.992231i | \(-0.460296\pi\) |
−0.797091 | + | 0.603859i | \(0.793629\pi\) | |||||||
\(678\) | −23.3742 | − | 14.9481i | −0.897683 | − | 0.574079i | ||||
\(679\) | 9.96266 | + | 17.2558i | 0.382332 | + | 0.662218i | ||||
\(680\) | 0.443006 | + | 3.11519i | 0.0169885 | + | 0.119462i | ||||
\(681\) | 0.179468 | + | 2.18164i | 0.00687721 | + | 0.0836007i | ||||
\(682\) | −19.3831 | − | 2.48376i | −0.742218 | − | 0.0951081i | ||||
\(683\) | 43.6659i | 1.67083i | 0.549621 | + | 0.835414i | \(0.314772\pi\) | ||||
−0.549621 | + | 0.835414i | \(0.685228\pi\) | |||||||
\(684\) | −36.4349 | − | 25.7008i | −1.39312 | − | 0.982695i | ||||
\(685\) | − | 22.4975i | − | 0.859584i | ||||||
\(686\) | −0.630894 | + | 4.92346i | −0.0240876 | + | 0.187978i | ||||
\(687\) | −11.3772 | − | 5.37730i | −0.434066 | − | 0.205157i | ||||
\(688\) | −0.581551 | − | 0.975888i | −0.0221714 | − | 0.0372054i | ||||
\(689\) | −1.98011 | − | 3.42965i | −0.0754362 | − | 0.130659i | ||||
\(690\) | −11.1400 | − | 0.505749i | −0.424094 | − | 0.0192535i | ||||
\(691\) | −7.91193 | − | 4.56796i | −0.300984 | − | 0.173773i | 0.341901 | − | 0.939736i | \(-0.388929\pi\) |
−0.642885 | + | 0.765963i | \(0.722263\pi\) | |||||||
\(692\) | −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 | ||||
\(696\) | −41.6675 | − | 12.9011i | −1.57940 | − | 0.489016i | ||||
\(697\) | −2.79733 | − | 4.84512i | −0.105956 | − | 0.183522i | ||||
\(698\) | −25.7404 | + | 33.7866i | −0.974290 | + | 1.27884i | ||||
\(699\) | −5.82839 | − | 8.41641i | −0.220450 | − | 0.318338i | ||||
\(700\) | −5.95682 | − | 21.6323i | −0.225147 | − | 0.817625i | ||||
\(701\) | 44.8665i | 1.69458i | 0.531127 | + | 0.847292i | \(0.321769\pi\) | ||||
−0.531127 | + | 0.847292i | \(0.678231\pi\) | |||||||
\(702\) | 4.51297 | + | 6.03129i | 0.170331 | + | 0.227636i | ||||
\(703\) | 29.8387 | 1.12539 | ||||||||
\(704\) | −4.72027 | − | 16.2607i | −0.177902 | − | 0.612849i | ||||
\(705\) | 14.1543 | − | 9.80188i | 0.533081 | − | 0.369160i | ||||
\(706\) | −21.3291 | − | 16.2496i | −0.802730 | − | 0.611563i | ||||
\(707\) | 20.3277 | − | 11.7362i | 0.764504 | − | 0.441386i | ||||
\(708\) | −21.6920 | − | 18.1383i | −0.815235 | − | 0.681679i | ||||
\(709\) | −23.1529 | − | 13.3673i | −0.869525 | − | 0.502021i | −0.00233491 | − | 0.999997i | \(-0.500743\pi\) |
−0.867190 | + | 0.497977i | \(0.834077\pi\) | |||||||
\(710\) | −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 | ||||
\(714\) | −0.324311 | + | 7.14354i | −0.0121370 | + | 0.267340i | ||||
\(715\) | 2.58430 | − | 1.49205i | 0.0966474 | − | 0.0557994i | ||||
\(716\) | −6.10766 | + | 23.4406i | −0.228254 | + | 0.876016i | ||||
\(717\) | −8.82630 | + | 18.6745i | −0.329624 | + | 0.697411i | ||||
\(718\) | −5.14834 | + | 40.1774i | −0.192135 | + | 1.49941i | ||||
\(719\) | −37.4738 | −1.39754 | −0.698768 | − | 0.715348i | \(-0.746268\pi\) | ||||
−0.698768 | + | 0.715348i | \(0.746268\pi\) | |||||||
\(720\) | 5.59169 | − | 15.5290i | 0.208390 | − | 0.578730i | ||||
\(721\) | −10.8662 | −0.404680 | ||||||||
\(722\) | 6.51103 | − | 50.8117i | 0.242316 | − | 1.89102i | ||||
\(723\) | 6.22025 | − | 0.511694i | 0.231333 | − | 0.0190301i | ||||
\(724\) | −8.91517 | + | 34.2155i | −0.331330 | + | 1.27161i | ||||
\(725\) | 23.9670 | − | 13.8374i | 0.890112 | − | 0.513907i | ||||
\(726\) | 13.4555 | + | 8.60497i | 0.499382 | + | 0.319360i | ||||
\(727\) | −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 | ||||
\(732\) | 4.34177 | − | 24.8734i | 0.160477 | − | 0.919346i | ||||
\(733\) | −35.6508 | + | 20.5830i | −1.31679 | + | 0.760249i | −0.983211 | − | 0.182472i | \(-0.941590\pi\) |
−0.333580 | + | 0.942722i | \(0.608257\pi\) | |||||||
\(734\) | 12.9851 | + | 9.89277i | 0.479289 | + | 0.365149i | ||||
\(735\) | 1.17727 | + | 14.3111i | 0.0434242 | + | 0.527873i | ||||
\(736\) | 18.6033 | + | 2.12305i | 0.685725 | + | 0.0782565i | ||||
\(737\) | −5.96251 | −0.219632 | ||||||||
\(738\) | 1.07706 | + | 29.3268i | 0.0396472 | + | 1.07953i | ||||
\(739\) | 45.1004i | 1.65905i | 0.558473 | + | 0.829523i | \(0.311387\pi\) | ||||
−0.558473 | + | 0.829523i | \(0.688613\pi\) | |||||||
\(740\) | 2.93241 | + | 10.6491i | 0.107797 | + | 0.391469i | ||||
\(741\) | −5.63806 | + | 11.9289i | −0.207119 | + | 0.438218i | ||||
\(742\) | −11.9506 | + | 15.6862i | −0.438721 | + | 0.575860i | ||||
\(743\) | −21.7217 | − | 37.6231i | −0.796893 | − | 1.38026i | −0.921630 | − | 0.388070i | \(-0.873142\pi\) |
0.124737 | − | 0.992190i | \(-0.460191\pi\) | |||||||
\(744\) | 21.7298 | + | 23.4690i | 0.796653 | + | 0.860416i | ||||
\(745\) | 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 | ||||
\(750\) | 12.5716 | + | 24.2525i | 0.459051 | + | 0.885576i | ||||
\(751\) | −15.3394 | − | 26.5686i | −0.559742 | − | 0.969501i | −0.997518 | − | 0.0704172i | \(-0.977567\pi\) |
0.437776 | − | 0.899084i | \(-0.355766\pi\) | |||||||
\(752\) | −24.8331 | + | 14.7985i | −0.905568 | + | 0.539646i | ||||
\(753\) | 0.913486 | − | 0.632592i | 0.0332893 | − | 0.0230529i | ||||
\(754\) | −1.64057 | + | 12.8029i | −0.0597461 | + | 0.466255i | ||||
\(755\) | 19.4571i | 0.708118i | ||||||||
\(756\) | 19.0354 | − | 32.3207i | 0.692311 | − | 1.17549i | ||||
\(757\) | − | 2.84137i | − | 0.103271i | −0.998666 | − | 0.0516357i | \(-0.983557\pi\) | ||
0.998666 | − | 0.0516357i | \(-0.0164435\pi\) | |||||||
\(758\) | −31.7957 | − | 4.07431i | −1.15487 | − | 0.147986i | ||||
\(759\) | 9.97553 | − | 6.90808i | 0.362089 | − | 0.250747i | ||||
\(760\) | 28.6215 | − | 4.07021i | 1.03821 | − | 0.147642i | ||||
\(761\) | 6.52480 | + | 11.3013i | 0.236524 | + | 0.409672i | 0.959714 | − | 0.280977i | \(-0.0906585\pi\) |
−0.723191 | + | 0.690649i | \(0.757325\pi\) | |||||||
\(762\) | 25.7354 | − | 13.3403i | 0.932295 | − | 0.483268i | ||||
\(763\) | 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 | ||||
\(768\) | −11.1454 | + | 25.3728i | −0.402174 | + | 0.915563i | ||||
\(769\) | 13.7846 | + | 23.8756i | 0.497084 | + | 0.860975i | 0.999994 | − | 0.00336360i | \(-0.00107067\pi\) |
−0.502910 | + | 0.864339i | \(0.667737\pi\) | |||||||
\(770\) | −11.8199 | − | 9.00501i | −0.425958 | − | 0.324518i | ||||
\(771\) | 2.95883 | − | 6.26022i | 0.106560 | − | 0.225456i | ||||
\(772\) | −0.168976 | − | 0.613641i | −0.00608159 | − | 0.0220854i | ||||
\(773\) | 15.7109i | 0.565082i | 0.959255 | + | 0.282541i | \(0.0911774\pi\) | ||||
−0.959255 | + | 0.282541i | \(0.908823\pi\) | |||||||
\(774\) | 0.640362 | + | 1.02069i | 0.0230173 | + | 0.0366881i | ||||
\(775\) | −20.2927 | −0.728936 | ||||||||
\(776\) | 9.63314 | + | 12.2884i | 0.345810 | + | 0.441128i | ||||
\(777\) | 2.05802 | + | 25.0177i | 0.0738311 | + | 0.897504i | ||||
\(778\) | −11.8224 | + | 15.5179i | −0.423852 | + | 0.556343i | ||||
\(779\) | −44.5155 | + | 25.7011i | −1.59494 | + | 0.920836i | ||||
\(780\) | −4.81136 | − | 0.839848i | −0.172274 | − | 0.0300714i | ||||
\(781\) | 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 | ||||
\(786\) | −3.67082 | + | 5.74003i | −0.130934 | + | 0.204740i | ||||
\(787\) | −12.2138 | + | 7.05164i | −0.435375 | + | 0.251364i | −0.701634 | − | 0.712538i | \(-0.747546\pi\) |
0.266259 | + | 0.963902i | \(0.414212\pi\) | |||||||
\(788\) | 12.3582 | − | 47.4296i | 0.440243 | − | 1.68961i | ||||
\(789\) | −19.4949 | + | 1.60370i | −0.694038 | + | 0.0570934i | ||||
\(790\) | 0.176004 | + | 0.0225532i | 0.00626195 | + | 0.000802408i | ||||
\(791\) | 40.8832 | 1.45364 | ||||||||
\(792\) | 5.40013 | + | 17.1280i | 0.191885 | + | 0.608616i | ||||
\(793\) | −7.47175 | −0.265329 | ||||||||
\(794\) | −33.3404 | − | 4.27226i | −1.18321 | − | 0.151617i | ||||
\(795\) | 3.93280 | − | 8.32093i | 0.139482 | − | 0.295113i | ||||
\(796\) | 13.8105 | + | 3.59845i | 0.489499 | + | 0.127544i | ||||
\(797\) | 22.7555 | − | 13.1379i | 0.806040 | − | 0.465367i | −0.0395390 | − | 0.999218i | \(-0.512589\pi\) |
0.845579 | + | 0.533851i | \(0.179256\pi\) | |||||||
\(798\) | 65.6327 | + | 2.97967i | 2.32337 | + | 0.105479i | ||||
\(799\) | −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 | ||||
\(804\) | 7.48655 | + | 6.26006i | 0.264030 | + | 0.220775i | ||||
\(805\) | 14.2305 | − | 8.21599i | 0.501560 | − | 0.289576i | ||||
\(806\) | 5.73572 | − | 7.52864i | 0.202032 | − | 0.265185i | ||||
\(807\) | 34.5586 | − | 23.9319i | 1.21652 | − | 0.842443i | ||||
\(808\) | 14.4760 | − | 11.3480i | 0.509264 | − | 0.399223i | ||||
\(809\) | −37.5390 | −1.31980 | −0.659901 | − | 0.751353i | \(-0.729402\pi\) | ||||
−0.659901 | + | 0.751353i | \(0.729402\pi\) | |||||||
\(810\) | −5.55227 | + | 16.6024i | −0.195087 | + | 0.583349i | ||||
\(811\) | − | 37.7228i | − | 1.32463i | −0.749227 | − | 0.662314i | \(-0.769575\pi\) | ||
0.749227 | − | 0.662314i | \(-0.230425\pi\) | |||||||
\(812\) | 61.9671 | − | 17.0637i | 2.17462 | − | 0.598817i | ||||
\(813\) | 12.0628 | + | 17.4192i | 0.423061 | + | 0.610917i | ||||
\(814\) | −9.56017 | − | 7.28345i | −0.335084 | − | 0.255285i | ||||
\(815\) | −10.2633 | − | 17.7766i | −0.359508 | − | 0.622686i | ||||
\(816\) | 0.536531 | + | 5.57794i | 0.0187823 | + | 0.195267i | ||||
\(817\) | −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 | 0.518457 | − | 0.855104i | \(-0.326507\pi\) |
−0.481313 | + | 0.876549i | \(0.659840\pi\) | |||||||
\(822\) | 1.81709 | − | 40.0247i | 0.0633782 | − | 1.39602i | ||||
\(823\) | −17.4937 | − | 30.2999i | −0.609791 | − | 1.05619i | −0.991275 | − | 0.131813i | \(-0.957920\pi\) |
0.381484 | − | 0.924376i | \(-0.375413\pi\) | |||||||
\(824\) | −8.43034 | + | 1.19886i | −0.293685 | + | 0.0417644i | ||||
\(825\) | −10.3017 | − | 4.86899i | −0.358659 | − | 0.169517i | ||||
\(826\) | 41.3276 | + | 5.29573i | 1.43797 | + | 0.184262i | ||||
\(827\) | − | 48.7311i | − | 1.69455i | −0.531157 | − | 0.847273i | \(-0.678243\pi\) | ||
0.531157 | − | 0.847273i | \(-0.321757\pi\) | |||||||
\(828\) | −19.7781 | − | 1.79953i | −0.687337 | − | 0.0625380i | ||||
\(829\) | − | 28.9573i | − | 1.00573i | −0.864366 | − | 0.502863i | \(-0.832280\pi\) | ||
0.864366 | − | 0.502863i | \(-0.167720\pi\) | |||||||
\(830\) | −0.687685 | + | 5.36665i | −0.0238699 | + | 0.186279i | ||||
\(831\) | −1.79137 | − | 21.7763i | −0.0621420 | − | 0.755410i | ||||
\(832\) | 7.96354 | + | 1.95790i | 0.276086 | + | 0.0678780i | ||||
\(833\) | −2.43761 | − | 4.22207i | −0.0844583 | − | 0.146286i | ||||
\(834\) | −1.87401 | + | 2.93037i | −0.0648916 | + | 0.101470i | ||||
\(835\) | 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 | \(0.0814712\pi\) | |||||||
\(840\) | 5.38666 | + | 23.7164i | 0.185858 | + | 0.818294i | ||||
\(841\) | 25.1380 | + | 43.5402i | 0.866826 | + | 1.50139i | ||||
\(842\) | −20.0120 | + | 26.2675i | −0.689658 | + | 0.905236i | ||||
\(843\) | 32.9488 | − | 2.71046i | 1.13482 | − | 0.0933532i | ||||
\(844\) | 15.5896 | − | 4.29285i | 0.536616 | − | 0.147766i | ||||
\(845\) | − | 16.4351i | − | 0.565386i | ||||||
\(846\) | 25.9732 | − | 16.2951i | 0.892977 | − | 0.560235i | ||||
\(847\) | −23.5347 | −0.808662 | ||||||||
\(848\) | −7.54099 | + | 13.4883i | −0.258959 | + | 0.463192i | ||||
\(849\) | −1.82710 | − | 0.863559i | −0.0627058 | − | 0.0296373i | ||||
\(850\) | −2.82810 | − | 2.15460i | −0.0970029 | − | 0.0739021i | ||||
\(851\) | 11.5100 | − | 6.64528i | 0.394556 | − | 0.227797i | ||||
\(852\) | −5.59280 | − | 15.2843i | −0.191606 | − | 0.523631i | ||||
\(853\) | 5.67204 | + | 3.27476i | 0.194207 | + | 0.112126i | 0.593951 | − | 0.804502i | \(-0.297567\pi\) |
−0.399743 | + | 0.916627i | \(0.630901\pi\) | |||||||
\(854\) | 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 | \(0.240291\pi\) | |||||||
\(858\) | 4.71817 | − | 2.44573i | 0.161076 | − | 0.0834959i | ||||
\(859\) | −2.57865 | + | 1.48878i | −0.0879824 | + | 0.0507967i | −0.543346 | − | 0.839509i | \(-0.682843\pi\) |
0.455363 | + | 0.890306i | \(0.349509\pi\) | |||||||
\(860\) | −0.756014 | − | 0.196986i | −0.0257799 | − | 0.00671718i | ||||
\(861\) | −24.6189 | − | 35.5506i | −0.839009 | − | 1.21156i | ||||
\(862\) | 1.15101 | − | 8.98245i | 0.0392037 | − | 0.305943i | ||||
\(863\) | −24.3897 | −0.830236 | −0.415118 | − | 0.909768i | \(-0.636260\pi\) | ||||
−0.415118 | + | 0.909768i | \(0.636260\pi\) | |||||||
\(864\) | 11.2023 | − | 27.1755i | 0.381109 | − | 0.924530i | ||||
\(865\) | −17.3196 | −0.588884 | ||||||||
\(866\) | 1.76667 | − | 13.7870i | 0.0600338 | − | 0.468500i | ||||
\(867\) | −16.1184 | − | 23.2756i | −0.547410 | − | 0.790480i | ||||
\(868\) | −45.6064 | − | 11.8832i | −1.54798 | − | 0.403341i | ||||
\(869\) | −0.167208 | + | 0.0965378i | −0.00567216 | + | 0.00327482i | ||||
\(870\) | −26.6318 | + | 13.8050i | −0.902904 | + | 0.468033i | ||||
\(871\) | 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 | ||||
\(876\) | −0.487965 | − | 1.33354i | −0.0164868 | − | 0.0450560i | ||||
\(877\) | 4.38552 | − | 2.53198i | 0.148088 | − | 0.0854988i | −0.424125 | − | 0.905604i | \(-0.639418\pi\) |
0.572213 | + | 0.820105i | \(0.306085\pi\) | |||||||
\(878\) | −27.8605 | − | 21.2257i | −0.940248 | − | 0.716332i | ||||
\(879\) | 3.82338 | + | 1.80708i | 0.128960 | + | 0.0609514i | ||||
\(880\) | −10.1637 | − | 5.68227i | −0.342618 | − | 0.191549i | ||||
\(881\) | 28.2318 | 0.951154 | 0.475577 | − | 0.879674i | \(-0.342239\pi\) | ||||
0.475577 | + | 0.879674i | \(0.342239\pi\) | |||||||
\(882\) | 0.938560 | + | 25.5556i | 0.0316030 | + | 0.860501i | ||||
\(883\) | 28.0994i | 0.945619i | 0.881165 | + | 0.472809i | \(0.156760\pi\) | ||||
−0.881165 | + | 0.472809i | \(0.843240\pi\) | |||||||
\(884\) | 1.59872 | − | 0.440234i | 0.0537708 | − | 0.0148067i | ||||
\(885\) | −19.3803 | + | 1.59427i | −0.651462 | + | 0.0535910i | ||||
\(886\) | −23.3074 | + | 30.5930i | −0.783028 | + | 1.02779i | ||||
\(887\) | 0.666005 | + | 1.15356i | 0.0223623 | + | 0.0387326i | 0.876990 | − | 0.480509i | \(-0.159548\pi\) |
−0.854628 | + | 0.519241i | \(0.826215\pi\) | |||||||
\(888\) | 4.35685 | + | 19.1824i | 0.146206 | + | 0.643718i | ||||
\(889\) | −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 | ||||
\(894\) | 7.48804 | − | 11.7090i | 0.250438 | − | 0.391608i | ||||
\(895\) | 8.32926 | + | 14.4267i | 0.278417 | + | 0.482232i | ||||
\(896\) | −6.30725 | − | 40.3453i | −0.210710 | − | 1.34784i | ||||
\(897\) | 0.481818 | + | 5.85707i | 0.0160874 | + | 0.195562i | ||||
\(898\) | −5.87527 | + | 45.8502i | −0.196060 | + | 1.53004i | ||||
\(899\) | − | 58.1297i | − | 1.93873i | ||||||
\(900\) | 7.82287 | + | 16.9293i | 0.260762 | + | 0.564310i | ||||
\(901\) | 3.12473i | 0.104100i | ||||||||
\(902\) | 20.5360 | + | 2.63150i | 0.683776 | + | 0.0876193i | ||||
\(903\) | −1.60524 | − | 0.758698i | −0.0534189 | − | 0.0252479i | ||||
\(904\) | 31.7184 | − | 4.51062i | 1.05494 | − | 0.150021i | ||||
\(905\) | 12.1580 | + | 21.0582i | 0.404145 | + | 0.699999i | ||||
\(906\) | −1.57153 | + | 34.6157i | −0.0522104 | + | 1.15003i | ||||
\(907\) | 0.778677 | + | 0.449569i | 0.0258555 | + | 0.0149277i | 0.512872 | − | 0.858465i | \(-0.328582\pi\) |
−0.487017 | + | 0.873393i | \(0.661915\pi\) | |||||||
\(908\) | −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 | \(0.0863645\pi\) | |||||||
\(912\) | 51.2485 | − | 4.92949i | 1.69701 | − | 0.163232i | ||||
\(913\) | −2.94360 | − | 5.09846i | −0.0974188 | − | 0.168734i | ||||
\(914\) | −23.3489 | − | 17.7885i | −0.772313 | − | 0.588390i | ||||
\(915\) | −9.88581 | − | 14.2755i | −0.326815 | − | 0.471933i | ||||
\(916\) | 14.0092 | − | 3.85768i | 0.462878 | − | 0.127461i | ||||
\(917\) | − | 10.0397i | − | 0.331541i | ||||||
\(918\) | −0.704367 | − | 5.90172i | −0.0232476 | − | 0.194786i | ||||
\(919\) | −28.4761 | −0.939339 | −0.469670 | − | 0.882842i | \(-0.655627\pi\) | ||||
−0.469670 | + | 0.882842i | \(0.655627\pi\) | |||||||
\(920\) | 10.1340 | − | 7.94424i | 0.334107 | − | 0.261914i | ||||
\(921\) | 22.4204 | − | 15.5262i | 0.738776 | − | 0.511604i | ||||
\(922\) | 32.1326 | − | 42.1768i | 1.05823 | − | 1.38902i | ||||
\(923\) | −4.17092 | + | 2.40808i | −0.137288 | + | 0.0792630i | ||||
\(924\) | −20.3011 | − | 16.9753i | −0.667857 | − | 0.558445i | ||||
\(925\) | −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 | \(0.144500\pi\) | |||||||
\(930\) | 21.9731 | + | 0.997560i | 0.720525 | + | 0.0327113i | ||||
\(931\) | −38.7912 | + | 22.3961i | −1.27133 | + | 0.734002i | ||||
\(932\) | 11.4393 | + | 2.98061i | 0.374706 | + | 0.0976332i | ||||
\(933\) | −14.6565 | + | 31.0099i | −0.479833 | + | 1.01522i | ||||
\(934\) | −37.9408 | − | 4.86175i | −1.24146 | − | 0.159081i | ||||
\(935\) | −2.35454 | −0.0770016 | ||||||||
\(936\) | −8.49193 | − | 1.88276i | −0.277568 | − | 0.0615399i | ||||
\(937\) | −15.1569 | −0.495155 | −0.247578 | − | 0.968868i | \(-0.579634\pi\) | ||||
−0.247578 | + | 0.968868i | \(0.579634\pi\) | |||||||
\(938\) | −14.2634 | − | 1.82771i | −0.465715 | − | 0.0596769i | ||||
\(939\) | 56.1219 | − | 4.61674i | 1.83147 | − | 0.150662i | ||||
\(940\) | −5.01264 | + | 19.2380i | −0.163494 | + | 0.627475i | ||||
\(941\) | −36.9463 | + | 21.3310i | −1.20442 | + | 0.695370i | −0.961534 | − | 0.274686i | \(-0.911426\pi\) |
−0.242882 | + | 0.970056i | \(0.578093\pi\) | |||||||
\(942\) | −28.4522 | + | 44.4906i | −0.927024 | + | 1.44958i | ||||
\(943\) | −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 | 0.845107 | − | 0.534597i | \(-0.179537\pi\) |
−0.0404213 | + | 0.999183i | \(0.512870\pi\) | |||||||
\(948\) | 0.311303 | + | 0.0543395i | 0.0101106 | + | 0.00176486i | ||||
\(949\) | −0.363908 | + | 0.210103i | −0.0118130 | + | 0.00682022i | ||||
\(950\) | −19.7958 | + | 25.9837i | −0.642261 | + | 0.843023i | ||||
\(951\) | −2.28365 | − | 27.7605i | −0.0740524 | − | 0.900195i | ||||
\(952\) | −5.09423 | − | 6.49840i | −0.165105 | − | 0.210614i | ||||
\(953\) | −28.1424 | −0.911622 | −0.455811 | − | 0.890077i | \(-0.650651\pi\) | ||||
−0.455811 | + | 0.890077i | \(0.650651\pi\) | |||||||
\(954\) | 7.66882 | − | 14.4859i | 0.248287 | − | 0.468998i | ||||
\(955\) | 26.7429i | 0.865380i | ||||||||
\(956\) | −6.33199 | − | 22.9948i | −0.204791 | − | 0.743704i | ||||
\(957\) | 13.9475 | − | 29.5098i | 0.450859 | − | 0.953917i | ||||
\(958\) | 30.7220 | + | 23.4057i | 0.992583 | + | 0.756204i | ||||
\(959\) | 29.5189 | + | 51.1283i | 0.953216 | + | 1.65102i | ||||
\(960\) | 6.79574 | + | 17.8056i | 0.219332 | + | 0.574672i | ||||
\(961\) | −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 | ||||
\(966\) | 25.9807 | − | 13.4675i | 0.835916 | − | 0.433309i | ||||
\(967\) | −6.99023 | − | 12.1074i | −0.224791 | − | 0.389349i | 0.731466 | − | 0.681878i | \(-0.238836\pi\) |
−0.956257 | + | 0.292529i | \(0.905503\pi\) | |||||||
\(968\) | −18.2589 | + | 2.59656i | −0.586863 | + | 0.0834567i | ||||
\(969\) | 8.55870 | − | 5.92692i | 0.274945 | − | 0.190400i | ||||
\(970\) | 10.6509 | + | 1.36481i | 0.341980 | + | 0.0438215i | ||||
\(971\) | 17.5426i | 0.562969i | 0.959566 | + | 0.281484i | \(0.0908268\pi\) | ||||
−0.959566 | + | 0.281484i | \(0.909173\pi\) | |||||||
\(972\) | −11.2188 | + | 29.0884i | −0.359845 | + | 0.933012i | ||||
\(973\) | − | 5.12543i | − | 0.164314i | ||||||
\(974\) | −3.43545 | + | 26.8100i | −0.110079 | + | 0.859049i | ||||
\(975\) | 4.53698 | − | 3.14187i | 0.145300 | − | 0.100621i | ||||
\(976\) | 14.9252 | + | 25.0457i | 0.477744 | + | 0.801692i | ||||
\(977\) | 22.7380 | + | 39.3834i | 0.727454 | + | 1.25999i | 0.957956 | + | 0.286916i | \(0.0926300\pi\) |
−0.230502 | + | 0.973072i | \(0.574037\pi\) | |||||||
\(978\) | −16.8234 | − | 32.4548i | −0.537953 | − | 1.03779i | ||||
\(979\) | 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 | \(0.218144\pi\) | |||||||
\(984\) | −23.0223 | − | 24.8650i | −0.733924 | − | 0.792666i | ||||
\(985\) | −16.8534 | − | 29.1909i | −0.536994 | − | 0.930100i | ||||
\(986\) | 6.17197 | − | 8.10125i | 0.196556 | − | 0.257996i | ||||
\(987\) | −19.3063 | + | 40.8478i | −0.614527 | + | 1.30020i | ||||
\(988\) | −4.04474 | − | 14.6886i | −0.128680 | − | 0.467306i | ||||
\(989\) | 0.940054i | 0.0298920i | ||||||||
\(990\) | 10.9154 | + | 5.77859i | 0.346914 | + | 0.183656i | ||||
\(991\) | −17.6057 | −0.559263 | −0.279631 | − | 0.960107i | \(-0.590212\pi\) | ||||
−0.279631 | + | 0.960107i | \(0.590212\pi\) | |||||||
\(992\) | −36.6938 | − | 4.18758i | −1.16503 | − | 0.132956i | ||||
\(993\) | −2.91163 | − | 35.3943i | −0.0923978 | − | 1.12320i | ||||
\(994\) | 19.0766 | + | 14.5336i | 0.605073 | + | 0.460978i | ||||
\(995\) | 8.49978 | − | 4.90735i | 0.269461 | − | 0.155573i | ||||
\(996\) | −1.65690 | + | 9.49212i | −0.0525008 | + | 0.300769i | ||||
\(997\) | 26.1168 | + | 15.0786i | 0.827128 | + | 0.477543i | 0.852868 | − | 0.522126i | \(-0.174861\pi\) |
−0.0257404 | + | 0.999669i | \(0.508194\pi\) | |||||||
\(998\) | 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.61.4 | yes | 16 | |
3.2 | odd | 2 | 216.2.n.b.181.5 | 16 | |||
4.3 | odd | 2 | 288.2.r.b.241.3 | 16 | |||
8.3 | odd | 2 | 288.2.r.b.241.6 | 16 | |||
8.5 | even | 2 | inner | 72.2.n.b.61.2 | yes | 16 | |
9.2 | odd | 6 | 648.2.d.k.325.2 | 8 | |||
9.4 | even | 3 | inner | 72.2.n.b.13.2 | ✓ | 16 | |
9.5 | odd | 6 | 216.2.n.b.37.7 | 16 | |||
9.7 | even | 3 | 648.2.d.j.325.7 | 8 | |||
12.11 | even | 2 | 864.2.r.b.721.6 | 16 | |||
24.5 | odd | 2 | 216.2.n.b.181.7 | 16 | |||
24.11 | even | 2 | 864.2.r.b.721.3 | 16 | |||
36.7 | odd | 6 | 2592.2.d.j.1297.3 | 8 | |||
36.11 | even | 6 | 2592.2.d.k.1297.6 | 8 | |||
36.23 | even | 6 | 864.2.r.b.145.3 | 16 | |||
36.31 | odd | 6 | 288.2.r.b.49.6 | 16 | |||
72.5 | odd | 6 | 216.2.n.b.37.5 | 16 | |||
72.11 | even | 6 | 2592.2.d.k.1297.3 | 8 | |||
72.13 | even | 6 | inner | 72.2.n.b.13.4 | yes | 16 | |
72.29 | odd | 6 | 648.2.d.k.325.1 | 8 | |||
72.43 | odd | 6 | 2592.2.d.j.1297.6 | 8 | |||
72.59 | even | 6 | 864.2.r.b.145.6 | 16 | |||
72.61 | even | 6 | 648.2.d.j.325.8 | 8 | |||
72.67 | odd | 6 | 288.2.r.b.49.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
72.2.n.b.13.2 | ✓ | 16 | 9.4 | even | 3 | inner | |
72.2.n.b.13.4 | yes | 16 | 72.13 | even | 6 | inner | |
72.2.n.b.61.2 | yes | 16 | 8.5 | even | 2 | inner | |
72.2.n.b.61.4 | yes | 16 | 1.1 | even | 1 | trivial | |
216.2.n.b.37.5 | 16 | 72.5 | odd | 6 | |||
216.2.n.b.37.7 | 16 | 9.5 | odd | 6 | |||
216.2.n.b.181.5 | 16 | 3.2 | odd | 2 | |||
216.2.n.b.181.7 | 16 | 24.5 | odd | 2 | |||
288.2.r.b.49.3 | 16 | 72.67 | odd | 6 | |||
288.2.r.b.49.6 | 16 | 36.31 | odd | 6 | |||
288.2.r.b.241.3 | 16 | 4.3 | odd | 2 | |||
288.2.r.b.241.6 | 16 | 8.3 | odd | 2 | |||
648.2.d.j.325.7 | 8 | 9.7 | even | 3 | |||
648.2.d.j.325.8 | 8 | 72.61 | even | 6 | |||
648.2.d.k.325.1 | 8 | 72.29 | odd | 6 | |||
648.2.d.k.325.2 | 8 | 9.2 | odd | 6 | |||
864.2.r.b.145.3 | 16 | 36.23 | even | 6 | |||
864.2.r.b.145.6 | 16 | 72.59 | even | 6 | |||
864.2.r.b.721.3 | 16 | 24.11 | even | 2 | |||
864.2.r.b.721.6 | 16 | 12.11 | even | 2 | |||
2592.2.d.j.1297.3 | 8 | 36.7 | odd | 6 | |||
2592.2.d.j.1297.6 | 8 | 72.43 | odd | 6 | |||
2592.2.d.k.1297.3 | 8 | 72.11 | even | 6 | |||
2592.2.d.k.1297.6 | 8 | 36.11 | even | 6 |