Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [96,2,Mod(13,96)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(96, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([0, 7, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("96.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 96 = 2^{5} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 96.n (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.766563859404\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 85.3 | ||
Character | \(\chi\) | \(=\) | 96.85 |
Dual form | 96.2.n.a.61.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(37\) | \(65\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{8}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.947612 | − | 1.04978i | −0.670063 | − | 0.742304i | ||||
\(3\) | −0.923880 | + | 0.382683i | −0.533402 | + | 0.220942i | ||||
\(4\) | −0.204063 | + | 1.98956i | −0.102031 | + | 0.994781i | ||||
\(5\) | −1.48656 | + | 3.58888i | −0.664810 | + | 1.60499i | 0.125364 | + | 0.992111i | \(0.459990\pi\) |
−0.790174 | + | 0.612883i | \(0.790010\pi\) | |||||||
\(6\) | 1.27721 | + | 0.607232i | 0.521419 | + | 0.247901i | ||||
\(7\) | 1.03821 | + | 1.03821i | 0.392407 | + | 0.392407i | 0.875545 | − | 0.483137i | \(-0.160503\pi\) |
−0.483137 | + | 0.875545i | \(0.660503\pi\) | |||||||
\(8\) | 2.28197 | − | 1.67111i | 0.806798 | − | 0.590828i | ||||
\(9\) | 0.707107 | − | 0.707107i | 0.235702 | − | 0.235702i | ||||
\(10\) | 5.17620 | − | 1.84030i | 1.63686 | − | 0.581955i | ||||
\(11\) | −2.98911 | − | 1.23813i | −0.901252 | − | 0.373311i | −0.116550 | − | 0.993185i | \(-0.537184\pi\) |
−0.784701 | + | 0.619874i | \(0.787184\pi\) | |||||||
\(12\) | −0.572843 | − | 1.91621i | −0.165366 | − | 0.553161i | ||||
\(13\) | 1.33971 | + | 3.23434i | 0.371568 | + | 0.897045i | 0.993485 | + | 0.113962i | \(0.0363541\pi\) |
−0.621917 | + | 0.783083i | \(0.713646\pi\) | |||||||
\(14\) | 0.106069 | − | 2.07371i | 0.0283480 | − | 0.554223i | ||||
\(15\) | − | 3.88457i | − | 1.00299i | ||||||
\(16\) | −3.91672 | − | 0.811991i | −0.979179 | − | 0.202998i | ||||
\(17\) | 5.31367i | 1.28876i | 0.764708 | + | 0.644378i | \(0.222883\pi\) | ||||
−0.764708 | + | 0.644378i | \(0.777117\pi\) | |||||||
\(18\) | −1.41237 | − | 0.0722414i | −0.332898 | − | 0.0170275i | ||||
\(19\) | −0.339726 | − | 0.820171i | −0.0779385 | − | 0.188160i | 0.880108 | − | 0.474774i | \(-0.157470\pi\) |
−0.958046 | + | 0.286614i | \(0.907470\pi\) | |||||||
\(20\) | −6.83694 | − | 3.68996i | −1.52879 | − | 0.825100i | ||||
\(21\) | −1.35649 | − | 0.561876i | −0.296010 | − | 0.122611i | ||||
\(22\) | 1.53276 | + | 4.31117i | 0.326785 | + | 0.919145i | ||||
\(23\) | 4.32186 | − | 4.32186i | 0.901171 | − | 0.901171i | −0.0943668 | − | 0.995537i | \(-0.530083\pi\) |
0.995537 | + | 0.0943668i | \(0.0300826\pi\) | |||||||
\(24\) | −1.46876 | + | 2.41718i | −0.299809 | + | 0.493405i | ||||
\(25\) | −7.13463 | − | 7.13463i | −1.42693 | − | 1.42693i | ||||
\(26\) | 2.12581 | − | 4.47129i | 0.416906 | − | 0.876893i | ||||
\(27\) | −0.382683 | + | 0.923880i | −0.0736475 | + | 0.177801i | ||||
\(28\) | −2.27745 | + | 1.85373i | −0.430397 | + | 0.350321i | ||||
\(29\) | 5.78209 | − | 2.39502i | 1.07371 | − | 0.444744i | 0.225410 | − | 0.974264i | \(-0.427628\pi\) |
0.848298 | + | 0.529520i | \(0.177628\pi\) | |||||||
\(30\) | −4.07793 | + | 3.68107i | −0.744525 | + | 0.672068i | ||||
\(31\) | −1.42287 | −0.255555 | −0.127777 | − | 0.991803i | \(-0.540784\pi\) | ||||
−0.127777 | + | 0.991803i | \(0.540784\pi\) | |||||||
\(32\) | 2.85912 | + | 4.88113i | 0.505426 | + | 0.862870i | ||||
\(33\) | 3.23539 | 0.563210 | ||||||||
\(34\) | 5.57817 | − | 5.03530i | 0.956648 | − | 0.863547i | ||||
\(35\) | −5.26938 | + | 2.18265i | −0.890687 | + | 0.368935i | ||||
\(36\) | 1.26254 | + | 1.55113i | 0.210423 | + | 0.258521i | ||||
\(37\) | 0.646238 | − | 1.56016i | 0.106241 | − | 0.256488i | −0.861815 | − | 0.507223i | \(-0.830672\pi\) |
0.968056 | + | 0.250735i | \(0.0806721\pi\) | |||||||
\(38\) | −0.539068 | + | 1.13384i | −0.0874484 | + | 0.183933i | ||||
\(39\) | −2.47546 | − | 2.47546i | −0.396390 | − | 0.396390i | ||||
\(40\) | 2.60513 | + | 10.6739i | 0.411907 | + | 1.68769i | ||||
\(41\) | 3.42644 | − | 3.42644i | 0.535120 | − | 0.535120i | −0.386972 | − | 0.922092i | \(-0.626479\pi\) |
0.922092 | + | 0.386972i | \(0.126479\pi\) | |||||||
\(42\) | 0.695581 | + | 1.95645i | 0.107330 | + | 0.301887i | ||||
\(43\) | 6.50505 | + | 2.69448i | 0.992010 | + | 0.410904i | 0.818861 | − | 0.573991i | \(-0.194606\pi\) |
0.173149 | + | 0.984896i | \(0.444606\pi\) | |||||||
\(44\) | 3.07331 | − | 5.69437i | 0.463318 | − | 0.858459i | ||||
\(45\) | 1.48656 | + | 3.58888i | 0.221603 | + | 0.534998i | ||||
\(46\) | −8.63244 | − | 0.441542i | −1.27278 | − | 0.0651018i | ||||
\(47\) | 10.5764i | 1.54273i | 0.636391 | + | 0.771366i | \(0.280426\pi\) | ||||
−0.636391 | + | 0.771366i | \(0.719574\pi\) | |||||||
\(48\) | 3.92931 | − | 0.748681i | 0.567147 | − | 0.108063i | ||||
\(49\) | − | 4.84423i | − | 0.692033i | ||||||
\(50\) | −0.728907 | + | 14.2506i | −0.103083 | + | 2.01534i | ||||
\(51\) | −2.03345 | − | 4.90919i | −0.284741 | − | 0.687425i | ||||
\(52\) | −6.70831 | + | 2.00542i | −0.930275 | + | 0.278102i | ||||
\(53\) | 6.63468 | + | 2.74817i | 0.911344 | + | 0.377491i | 0.788571 | − | 0.614944i | \(-0.210821\pi\) |
0.122773 | + | 0.992435i | \(0.460821\pi\) | |||||||
\(54\) | 1.33250 | − | 0.473747i | 0.181331 | − | 0.0644688i | ||||
\(55\) | 8.88700 | − | 8.88700i | 1.19832 | − | 1.19832i | ||||
\(56\) | 4.10414 | + | 0.634197i | 0.548438 | + | 0.0847482i | ||||
\(57\) | 0.627732 | + | 0.627732i | 0.0831451 | + | 0.0831451i | ||||
\(58\) | −7.99342 | − | 3.80036i | −1.04959 | − | 0.499011i | ||||
\(59\) | −0.185450 | + | 0.447716i | −0.0241435 | + | 0.0582877i | −0.935492 | − | 0.353349i | \(-0.885043\pi\) |
0.911348 | + | 0.411637i | \(0.135043\pi\) | |||||||
\(60\) | 7.72860 | + | 0.792696i | 0.997757 | + | 0.102337i | ||||
\(61\) | −3.16624 | + | 1.31150i | −0.405396 | + | 0.167920i | −0.576057 | − | 0.817409i | \(-0.695410\pi\) |
0.170662 | + | 0.985330i | \(0.445410\pi\) | |||||||
\(62\) | 1.34833 | + | 1.49369i | 0.171238 | + | 0.189699i | ||||
\(63\) | 1.46825 | 0.184983 | ||||||||
\(64\) | 2.41476 | − | 7.62686i | 0.301845 | − | 0.953357i | ||||
\(65\) | −13.5992 | −1.68677 | ||||||||
\(66\) | −3.06590 | − | 3.39644i | −0.377386 | − | 0.418073i | ||||
\(67\) | −6.09277 | + | 2.52371i | −0.744350 | + | 0.308320i | −0.722434 | − | 0.691440i | \(-0.756977\pi\) |
−0.0219162 | + | 0.999760i | \(0.506977\pi\) | |||||||
\(68\) | −10.5719 | − | 1.08432i | −1.28203 | − | 0.131493i | ||||
\(69\) | −2.33898 | + | 5.64679i | −0.281580 | + | 0.679793i | ||||
\(70\) | 7.28462 | + | 3.46337i | 0.870679 | + | 0.413952i | ||||
\(71\) | 2.91549 | + | 2.91549i | 0.346005 | + | 0.346005i | 0.858619 | − | 0.512614i | \(-0.171323\pi\) |
−0.512614 | + | 0.858619i | \(0.671323\pi\) | |||||||
\(72\) | 0.431940 | − | 2.79525i | 0.0509046 | − | 0.329423i | ||||
\(73\) | 1.02065 | − | 1.02065i | 0.119458 | − | 0.119458i | −0.644851 | − | 0.764309i | \(-0.723080\pi\) |
0.764309 | + | 0.644851i | \(0.223080\pi\) | |||||||
\(74\) | −2.25020 | + | 0.800018i | −0.261580 | + | 0.0930002i | ||||
\(75\) | 9.32184 | + | 3.86123i | 1.07639 | + | 0.445857i | ||||
\(76\) | 1.70111 | − | 0.508540i | 0.195130 | − | 0.0583335i | ||||
\(77\) | −1.81789 | − | 4.38878i | −0.207168 | − | 0.500147i | ||||
\(78\) | −0.252904 | + | 4.94445i | −0.0286358 | + | 0.559849i | ||||
\(79\) | 12.8099i | 1.44122i | 0.693338 | + | 0.720612i | \(0.256139\pi\) | ||||
−0.693338 | + | 0.720612i | \(0.743861\pi\) | |||||||
\(80\) | 8.73657 | − | 12.8495i | 0.976778 | − | 1.43662i | ||||
\(81\) | − | 1.00000i | − | 0.111111i | ||||||
\(82\) | −6.84393 | − | 0.350061i | −0.755786 | − | 0.0386578i | ||||
\(83\) | −6.41532 | − | 15.4879i | −0.704173 | − | 1.70002i | −0.714072 | − | 0.700072i | \(-0.753151\pi\) |
0.00989955 | − | 0.999951i | \(-0.496849\pi\) | |||||||
\(84\) | 1.39470 | − | 2.58416i | 0.152174 | − | 0.281955i | ||||
\(85\) | −19.0701 | − | 7.89910i | −2.06844 | − | 0.856778i | ||||
\(86\) | −3.33566 | − | 9.38217i | −0.359693 | − | 1.01171i | ||||
\(87\) | −4.42542 | + | 4.42542i | −0.474455 | + | 0.474455i | ||||
\(88\) | −8.89012 | + | 2.16977i | −0.947690 | + | 0.231298i | ||||
\(89\) | −0.991462 | − | 0.991462i | −0.105095 | − | 0.105095i | 0.652604 | − | 0.757699i | \(-0.273676\pi\) |
−0.757699 | + | 0.652604i | \(0.773676\pi\) | |||||||
\(90\) | 2.35883 | − | 4.96142i | 0.248643 | − | 0.522979i | ||||
\(91\) | −1.96703 | + | 4.74883i | −0.206201 | + | 0.497813i | ||||
\(92\) | 7.71668 | + | 9.48055i | 0.804520 | + | 0.988415i | ||||
\(93\) | 1.31456 | − | 0.544508i | 0.136313 | − | 0.0564628i | ||||
\(94\) | 11.1029 | − | 10.0224i | 1.14518 | − | 1.03373i | ||||
\(95\) | 3.44851 | 0.353810 | ||||||||
\(96\) | −4.50941 | − | 3.41544i | −0.460240 | − | 0.348587i | ||||
\(97\) | 14.5301 | 1.47530 | 0.737652 | − | 0.675182i | \(-0.235935\pi\) | ||||
0.737652 | + | 0.675182i | \(0.235935\pi\) | |||||||
\(98\) | −5.08536 | + | 4.59045i | −0.513699 | + | 0.463706i | ||||
\(99\) | −2.98911 | + | 1.23813i | −0.300417 | + | 0.124437i | ||||
\(100\) | 15.6507 | − | 12.7389i | 1.56507 | − | 1.27389i | ||||
\(101\) | 0.742560 | − | 1.79270i | 0.0738875 | − | 0.178380i | −0.882621 | − | 0.470086i | \(-0.844223\pi\) |
0.956508 | + | 0.291706i | \(0.0942229\pi\) | |||||||
\(102\) | −3.22663 | + | 6.78669i | −0.319484 | + | 0.671982i | ||||
\(103\) | −2.11500 | − | 2.11500i | −0.208397 | − | 0.208397i | 0.595189 | − | 0.803586i | \(-0.297077\pi\) |
−0.803586 | + | 0.595189i | \(0.797077\pi\) | |||||||
\(104\) | 8.46212 | + | 5.14186i | 0.829779 | + | 0.504201i | ||||
\(105\) | 4.03301 | − | 4.03301i | 0.393581 | − | 0.393581i | ||||
\(106\) | −3.40213 | − | 9.56914i | −0.330444 | − | 0.929437i | ||||
\(107\) | 4.62290 | + | 1.91487i | 0.446913 | + | 0.185117i | 0.594778 | − | 0.803890i | \(-0.297240\pi\) |
−0.147865 | + | 0.989008i | \(0.547240\pi\) | |||||||
\(108\) | −1.76002 | − | 0.949902i | −0.169358 | − | 0.0914044i | ||||
\(109\) | 0.135885 | + | 0.328056i | 0.0130155 | + | 0.0314221i | 0.930254 | − | 0.366917i | \(-0.119587\pi\) |
−0.917238 | + | 0.398339i | \(0.869587\pi\) | |||||||
\(110\) | −17.7508 | − | 0.907938i | −1.69247 | − | 0.0865685i | ||||
\(111\) | 1.68870i | 0.160284i | ||||||||
\(112\) | −3.22336 | − | 4.90940i | −0.304579 | − | 0.463895i | ||||
\(113\) | 2.38693i | 0.224543i | 0.993678 | + | 0.112272i | \(0.0358127\pi\) | ||||
−0.993678 | + | 0.112272i | \(0.964187\pi\) | |||||||
\(114\) | 0.0641320 | − | 1.25382i | 0.00600651 | − | 0.117431i | ||||
\(115\) | 9.08591 | + | 21.9353i | 0.847266 | + | 2.04548i | ||||
\(116\) | 3.58514 | + | 11.9926i | 0.332871 | + | 1.11348i | ||||
\(117\) | 3.23434 | + | 1.33971i | 0.299015 | + | 0.123856i | ||||
\(118\) | 0.645737 | − | 0.229580i | 0.0594449 | − | 0.0211346i | ||||
\(119\) | −5.51672 | + | 5.51672i | −0.505717 | + | 0.505717i | ||||
\(120\) | −6.49156 | − | 8.86447i | −0.592595 | − | 0.809212i | ||||
\(121\) | −0.376343 | − | 0.376343i | −0.0342130 | − | 0.0342130i | ||||
\(122\) | 4.37715 | + | 2.08105i | 0.396289 | + | 0.188410i | ||||
\(123\) | −1.85438 | + | 4.47686i | −0.167203 | + | 0.403665i | ||||
\(124\) | 0.290354 | − | 2.83088i | 0.0260746 | − | 0.254221i | ||||
\(125\) | 18.2670 | − | 7.56643i | 1.63385 | − | 0.676762i | ||||
\(126\) | −1.39133 | − | 1.54134i | −0.123950 | − | 0.137313i | ||||
\(127\) | −13.4220 | −1.19101 | −0.595507 | − | 0.803350i | \(-0.703049\pi\) | ||||
−0.595507 | + | 0.803350i | \(0.703049\pi\) | |||||||
\(128\) | −10.2948 | + | 4.69234i | −0.909936 | + | 0.414748i | ||||
\(129\) | −7.04101 | −0.619927 | ||||||||
\(130\) | 12.8868 | + | 14.2761i | 1.13024 | + | 1.25210i | ||||
\(131\) | 7.38818 | − | 3.06028i | 0.645508 | − | 0.267378i | −0.0358180 | − | 0.999358i | \(-0.511404\pi\) |
0.681326 | + | 0.731980i | \(0.261404\pi\) | |||||||
\(132\) | −0.660223 | + | 6.43702i | −0.0574650 | + | 0.560270i | ||||
\(133\) | 0.498804 | − | 1.20422i | 0.0432518 | − | 0.104419i | ||||
\(134\) | 8.42291 | + | 4.00455i | 0.727629 | + | 0.345941i | ||||
\(135\) | −2.74681 | − | 2.74681i | −0.236407 | − | 0.236407i | ||||
\(136\) | 8.87975 | + | 12.1256i | 0.761432 | + | 1.03976i | ||||
\(137\) | −10.6802 | + | 10.6802i | −0.912474 | + | 0.912474i | −0.996466 | − | 0.0839927i | \(-0.973233\pi\) |
0.0839927 | + | 0.996466i | \(0.473233\pi\) | |||||||
\(138\) | 8.14431 | − | 2.89556i | 0.693289 | − | 0.246486i | ||||
\(139\) | −4.00214 | − | 1.65774i | −0.339457 | − | 0.140608i | 0.206441 | − | 0.978459i | \(-0.433812\pi\) |
−0.545899 | + | 0.837851i | \(0.683812\pi\) | |||||||
\(140\) | −3.26723 | − | 10.9292i | −0.276131 | − | 0.923682i | ||||
\(141\) | −4.04743 | − | 9.77136i | −0.340855 | − | 0.822897i | ||||
\(142\) | 0.297860 | − | 5.82337i | 0.0249959 | − | 0.488687i | ||||
\(143\) | − | 11.3265i | − | 0.947173i | ||||||
\(144\) | −3.34370 | + | 2.19537i | −0.278642 | + | 0.182948i | ||||
\(145\) | 24.3116i | 2.01896i | ||||||||
\(146\) | −2.03864 | − | 0.104275i | −0.168719 | − | 0.00862982i | ||||
\(147\) | 1.85381 | + | 4.47549i | 0.152899 | + | 0.369132i | ||||
\(148\) | 2.97216 | + | 1.60410i | 0.244310 | + | 0.131856i | ||||
\(149\) | −17.5080 | − | 7.25206i | −1.43431 | − | 0.594112i | −0.475901 | − | 0.879499i | \(-0.657878\pi\) |
−0.958412 | + | 0.285387i | \(0.907878\pi\) | |||||||
\(150\) | −4.78006 | − | 13.4448i | −0.390290 | − | 1.09776i | ||||
\(151\) | 1.13128 | − | 1.13128i | 0.0920621 | − | 0.0920621i | −0.659576 | − | 0.751638i | \(-0.729264\pi\) |
0.751638 | + | 0.659576i | \(0.229264\pi\) | |||||||
\(152\) | −2.14584 | − | 1.30388i | −0.174051 | − | 0.105759i | ||||
\(153\) | 3.75733 | + | 3.75733i | 0.303762 | + | 0.303762i | ||||
\(154\) | −2.88458 | + | 6.06724i | −0.232446 | + | 0.488912i | ||||
\(155\) | 2.11518 | − | 5.10649i | 0.169895 | − | 0.410163i | ||||
\(156\) | 5.43022 | − | 4.41993i | 0.434766 | − | 0.353877i | ||||
\(157\) | 1.69192 | − | 0.700815i | 0.135030 | − | 0.0559311i | −0.314145 | − | 0.949375i | \(-0.601718\pi\) |
0.449175 | + | 0.893444i | \(0.351718\pi\) | |||||||
\(158\) | 13.4475 | − | 12.1388i | 1.06983 | − | 0.965711i | ||||
\(159\) | −7.18133 | −0.569516 | ||||||||
\(160\) | −21.7680 | + | 3.00492i | −1.72091 | + | 0.237560i | ||||
\(161\) | 8.97402 | 0.707252 | ||||||||
\(162\) | −1.04978 | + | 0.947612i | −0.0824783 | + | 0.0744514i | ||||
\(163\) | 20.1880 | − | 8.36212i | 1.58124 | − | 0.654972i | 0.592632 | − | 0.805473i | \(-0.298089\pi\) |
0.988610 | + | 0.150501i | \(0.0480887\pi\) | |||||||
\(164\) | 6.11791 | + | 7.51632i | 0.477728 | + | 0.586926i | ||||
\(165\) | −4.80961 | + | 11.6114i | −0.374428 | + | 0.903948i | ||||
\(166\) | −10.1797 | + | 21.4112i | −0.790094 | + | 1.66183i | ||||
\(167\) | −2.40472 | − | 2.40472i | −0.186083 | − | 0.186083i | 0.607917 | − | 0.794000i | \(-0.292005\pi\) |
−0.794000 | + | 0.607917i | \(0.792005\pi\) | |||||||
\(168\) | −4.03442 | + | 0.984663i | −0.311263 | + | 0.0759684i | ||||
\(169\) | 0.526247 | − | 0.526247i | 0.0404805 | − | 0.0404805i | ||||
\(170\) | 9.77878 | + | 27.5046i | 0.749998 | + | 2.10951i | ||||
\(171\) | −0.820171 | − | 0.339726i | −0.0627200 | − | 0.0259795i | ||||
\(172\) | −6.68827 | + | 12.3924i | −0.509976 | + | 0.944908i | ||||
\(173\) | −3.78491 | − | 9.13758i | −0.287761 | − | 0.694717i | 0.712212 | − | 0.701964i | \(-0.247693\pi\) |
−0.999974 | + | 0.00724669i | \(0.997693\pi\) | |||||||
\(174\) | 8.83929 | + | 0.452122i | 0.670105 | + | 0.0342753i | ||||
\(175\) | − | 14.8145i | − | 1.11987i | ||||||
\(176\) | 10.7022 | + | 7.27654i | 0.806706 | + | 0.548490i | ||||
\(177\) | − | 0.484604i | − | 0.0364251i | ||||||
\(178\) | −0.101292 | + | 1.98033i | −0.00759219 | + | 0.148432i | ||||
\(179\) | −7.05680 | − | 17.0366i | −0.527450 | − | 1.27338i | −0.933188 | − | 0.359388i | \(-0.882985\pi\) |
0.405738 | − | 0.913989i | \(-0.367015\pi\) | |||||||
\(180\) | −7.44364 | + | 2.22525i | −0.554816 | + | 0.165860i | ||||
\(181\) | 17.3885 | + | 7.20257i | 1.29248 | + | 0.535363i | 0.919724 | − | 0.392566i | \(-0.128413\pi\) |
0.372757 | + | 0.927929i | \(0.378413\pi\) | |||||||
\(182\) | 6.84919 | − | 2.43511i | 0.507696 | − | 0.180502i | ||||
\(183\) | 2.42334 | − | 2.42334i | 0.179138 | − | 0.179138i | ||||
\(184\) | 2.64003 | − | 17.0847i | 0.194626 | − | 1.25950i | ||||
\(185\) | 4.63854 | + | 4.63854i | 0.341032 | + | 0.341032i | ||||
\(186\) | −1.81730 | − | 0.864010i | −0.133251 | − | 0.0633523i | ||||
\(187\) | 6.57903 | − | 15.8832i | 0.481106 | − | 1.16149i | ||||
\(188\) | −21.0425 | − | 2.15826i | −1.53468 | − | 0.157407i | ||||
\(189\) | −1.35649 | + | 0.561876i | −0.0986701 | + | 0.0408705i | ||||
\(190\) | −3.26785 | − | 3.62017i | −0.237075 | − | 0.262635i | ||||
\(191\) | 9.91467 | 0.717400 | 0.358700 | − | 0.933453i | \(-0.383220\pi\) | ||||
0.358700 | + | 0.933453i | \(0.383220\pi\) | |||||||
\(192\) | 0.687722 | + | 7.97039i | 0.0496321 | + | 0.575213i | ||||
\(193\) | 9.84834 | 0.708899 | 0.354450 | − | 0.935075i | \(-0.384668\pi\) | ||||
0.354450 | + | 0.935075i | \(0.384668\pi\) | |||||||
\(194\) | −13.7689 | − | 15.2533i | −0.988546 | − | 1.09512i | ||||
\(195\) | 12.5640 | − | 5.20419i | 0.899728 | − | 0.372680i | ||||
\(196\) | 9.63790 | + | 0.988527i | 0.688422 | + | 0.0706091i | ||||
\(197\) | 5.46439 | − | 13.1922i | 0.389322 | − | 0.939905i | −0.600762 | − | 0.799428i | \(-0.705136\pi\) |
0.990084 | − | 0.140478i | \(-0.0448638\pi\) | |||||||
\(198\) | 4.13228 | + | 1.96463i | 0.293669 | + | 0.139620i | ||||
\(199\) | −6.14473 | − | 6.14473i | −0.435588 | − | 0.435588i | 0.454936 | − | 0.890524i | \(-0.349662\pi\) |
−0.890524 | + | 0.454936i | \(0.849662\pi\) | |||||||
\(200\) | −28.2038 | − | 4.35823i | −1.99431 | − | 0.308173i | ||||
\(201\) | 4.66320 | − | 4.66320i | 0.328917 | − | 0.328917i | ||||
\(202\) | −2.58559 | + | 0.919261i | −0.181922 | + | 0.0646790i | ||||
\(203\) | 8.48958 | + | 3.51650i | 0.595852 | + | 0.246810i | ||||
\(204\) | 10.1821 | − | 3.04390i | 0.712890 | − | 0.213116i | ||||
\(205\) | 7.20345 | + | 17.3907i | 0.503111 | + | 1.21462i | ||||
\(206\) | −0.216078 | + | 4.22447i | −0.0150549 | + | 0.294333i | ||||
\(207\) | − | 6.11204i | − | 0.424816i | ||||||
\(208\) | −2.62100 | − | 13.7558i | −0.181734 | − | 0.953795i | ||||
\(209\) | 2.87221i | 0.198675i | ||||||||
\(210\) | −8.05548 | − | 0.412031i | −0.555881 | − | 0.0284328i | ||||
\(211\) | −4.14085 | − | 9.99689i | −0.285068 | − | 0.688214i | 0.714871 | − | 0.699256i | \(-0.246485\pi\) |
−0.999939 | + | 0.0110418i | \(0.996485\pi\) | |||||||
\(212\) | −6.82156 | + | 12.6393i | −0.468506 | + | 0.868071i | ||||
\(213\) | −3.80927 | − | 1.57785i | −0.261007 | − | 0.108113i | ||||
\(214\) | −2.37053 | − | 6.66757i | −0.162046 | − | 0.455786i | ||||
\(215\) | −19.3403 | + | 19.3403i | −1.31900 | + | 1.31900i | ||||
\(216\) | 0.670636 | + | 2.74777i | 0.0456310 | + | 0.186962i | ||||
\(217\) | −1.47724 | − | 1.47724i | −0.100281 | − | 0.100281i | ||||
\(218\) | 0.215619 | − | 0.453520i | 0.0146036 | − | 0.0307162i | ||||
\(219\) | −0.552372 | + | 1.33355i | −0.0373259 | + | 0.0901126i | ||||
\(220\) | 15.8677 | + | 19.4947i | 1.06980 | + | 1.31434i | ||||
\(221\) | −17.1862 | + | 7.11877i | −1.15607 | + | 0.478860i | ||||
\(222\) | 1.77276 | − | 1.60023i | 0.118980 | − | 0.107401i | ||||
\(223\) | −14.1199 | −0.945540 | −0.472770 | − | 0.881186i | \(-0.656746\pi\) | ||||
−0.472770 | + | 0.881186i | \(0.656746\pi\) | |||||||
\(224\) | −2.09928 | + | 8.03602i | −0.140264 | + | 0.536929i | ||||
\(225\) | −10.0899 | −0.672659 | ||||||||
\(226\) | 2.50574 | − | 2.26188i | 0.166679 | − | 0.150458i | ||||
\(227\) | −16.8836 | + | 6.99343i | −1.12061 | + | 0.464170i | −0.864578 | − | 0.502499i | \(-0.832414\pi\) |
−0.256029 | + | 0.966669i | \(0.582414\pi\) | |||||||
\(228\) | −1.37701 | + | 1.12081i | −0.0911946 | + | 0.0742278i | ||||
\(229\) | 3.92011 | − | 9.46398i | 0.259048 | − | 0.625397i | −0.739828 | − | 0.672796i | \(-0.765093\pi\) |
0.998876 | + | 0.0473987i | \(0.0150931\pi\) | |||||||
\(230\) | 14.4173 | − | 30.3244i | 0.950648 | − | 1.99953i | ||||
\(231\) | 3.35902 | + | 3.35902i | 0.221008 | + | 0.221008i | ||||
\(232\) | 9.19220 | − | 15.1279i | 0.603498 | − | 0.993195i | ||||
\(233\) | 3.06027 | − | 3.06027i | 0.200485 | − | 0.200485i | −0.599723 | − | 0.800208i | \(-0.704722\pi\) |
0.800208 | + | 0.599723i | \(0.204722\pi\) | |||||||
\(234\) | −1.65851 | − | 4.66486i | −0.108420 | − | 0.304951i | ||||
\(235\) | −37.9575 | − | 15.7225i | −2.47608 | − | 1.02562i | ||||
\(236\) | −0.852916 | − | 0.460327i | −0.0555201 | − | 0.0299647i | ||||
\(237\) | −4.90213 | − | 11.8348i | −0.318428 | − | 0.768752i | ||||
\(238\) | 11.0190 | + | 0.563614i | 0.714258 | + | 0.0365337i | ||||
\(239\) | 0.210325i | 0.0136048i | 0.999977 | + | 0.00680240i | \(0.00216529\pi\) | ||||
−0.999977 | + | 0.00680240i | \(0.997835\pi\) | |||||||
\(240\) | −3.15424 | + | 15.2148i | −0.203605 | + | 0.982109i | ||||
\(241\) | − | 13.0724i | − | 0.842068i | −0.907045 | − | 0.421034i | \(-0.861667\pi\) | ||
0.907045 | − | 0.421034i | \(-0.138333\pi\) | |||||||
\(242\) | −0.0384489 | + | 0.751702i | −0.00247159 | + | 0.0483213i | ||||
\(243\) | 0.382683 | + | 0.923880i | 0.0245492 | + | 0.0592669i | ||||
\(244\) | −1.96320 | − | 6.56707i | −0.125681 | − | 0.420413i | ||||
\(245\) | 17.3853 | + | 7.20125i | 1.11071 | + | 0.460071i | ||||
\(246\) | 6.45693 | − | 2.29565i | 0.411679 | − | 0.146365i | ||||
\(247\) | 2.19758 | − | 2.19758i | 0.139829 | − | 0.139829i | ||||
\(248\) | −3.24694 | + | 2.37777i | −0.206181 | + | 0.150989i | ||||
\(249\) | 11.8540 | + | 11.8540i | 0.751214 | + | 0.751214i | ||||
\(250\) | −25.2531 | − | 12.0062i | −1.59714 | − | 0.759339i | ||||
\(251\) | −1.21528 | + | 2.93395i | −0.0767079 | + | 0.185189i | −0.957582 | − | 0.288162i | \(-0.906956\pi\) |
0.880874 | + | 0.473351i | \(0.156956\pi\) | |||||||
\(252\) | −0.299616 | + | 2.92118i | −0.0188740 | + | 0.184017i | ||||
\(253\) | −18.2696 | + | 7.56751i | −1.14860 | + | 0.475765i | ||||
\(254\) | 12.7189 | + | 14.0902i | 0.798054 | + | 0.884095i | ||||
\(255\) | 20.6413 | 1.29261 | ||||||||
\(256\) | 14.6813 | + | 6.36068i | 0.917584 | + | 0.397542i | ||||
\(257\) | 2.57305 | 0.160502 | 0.0802512 | − | 0.996775i | \(-0.474428\pi\) | ||||
0.0802512 | + | 0.996775i | \(0.474428\pi\) | |||||||
\(258\) | 6.67215 | + | 7.39149i | 0.415390 | + | 0.460174i | ||||
\(259\) | 2.29071 | − | 0.948841i | 0.142338 | − | 0.0589581i | ||||
\(260\) | 2.77509 | − | 27.0565i | 0.172104 | − | 1.67797i | ||||
\(261\) | 2.39502 | − | 5.78209i | 0.148248 | − | 0.357903i | ||||
\(262\) | −10.2137 | − | 4.85598i | −0.631007 | − | 0.300003i | ||||
\(263\) | 12.8467 | + | 12.8467i | 0.792159 | + | 0.792159i | 0.981845 | − | 0.189686i | \(-0.0607469\pi\) |
−0.189686 | + | 0.981845i | \(0.560747\pi\) | |||||||
\(264\) | 7.38307 | − | 5.40671i | 0.454396 | − | 0.332760i | ||||
\(265\) | −19.7257 | + | 19.7257i | −1.21174 | + | 1.21174i | ||||
\(266\) | −1.73683 | + | 0.617500i | −0.106492 | + | 0.0378613i | ||||
\(267\) | 1.29541 | + | 0.536575i | 0.0792776 | + | 0.0328379i | ||||
\(268\) | −3.77777 | − | 12.6369i | −0.230764 | − | 0.771924i | ||||
\(269\) | 3.18478 | + | 7.68874i | 0.194180 | + | 0.468791i | 0.990741 | − | 0.135767i | \(-0.0433499\pi\) |
−0.796561 | + | 0.604558i | \(0.793350\pi\) | |||||||
\(270\) | −0.280627 | + | 5.48644i | −0.0170784 | + | 0.333894i | ||||
\(271\) | 29.7589i | 1.80772i | 0.427823 | + | 0.903862i | \(0.359281\pi\) | ||||
−0.427823 | + | 0.903862i | \(0.640719\pi\) | |||||||
\(272\) | 4.31465 | − | 20.8122i | 0.261614 | − | 1.26192i | ||||
\(273\) | − | 5.14010i | − | 0.311093i | ||||||
\(274\) | 21.3326 | + | 1.09114i | 1.28875 | + | 0.0659183i | ||||
\(275\) | 12.4926 | + | 30.1598i | 0.753333 | + | 1.81871i | ||||
\(276\) | −10.7573 | − | 5.80584i | −0.647515 | − | 0.349470i | ||||
\(277\) | 13.4191 | + | 5.55836i | 0.806274 | + | 0.333970i | 0.747466 | − | 0.664300i | \(-0.231270\pi\) |
0.0588078 | + | 0.998269i | \(0.481270\pi\) | |||||||
\(278\) | 2.05222 | + | 5.77225i | 0.123084 | + | 0.346197i | ||||
\(279\) | −1.00612 | + | 1.00612i | −0.0602348 | + | 0.0602348i | ||||
\(280\) | −8.37710 | + | 13.7865i | −0.500628 | + | 0.823899i | ||||
\(281\) | 0.428981 | + | 0.428981i | 0.0255909 | + | 0.0255909i | 0.719786 | − | 0.694196i | \(-0.244240\pi\) |
−0.694196 | + | 0.719786i | \(0.744240\pi\) | |||||||
\(282\) | −6.42235 | + | 13.5084i | −0.382446 | + | 0.804411i | ||||
\(283\) | 10.2786 | − | 24.8146i | 0.610997 | − | 1.47508i | −0.250910 | − | 0.968010i | \(-0.580730\pi\) |
0.861907 | − | 0.507067i | \(-0.169270\pi\) | |||||||
\(284\) | −6.39550 | + | 5.20561i | −0.379503 | + | 0.308896i | ||||
\(285\) | −3.18601 | + | 1.31969i | −0.188723 | + | 0.0781716i | ||||
\(286\) | −11.8903 | + | 10.7332i | −0.703091 | + | 0.634666i | ||||
\(287\) | 7.11474 | 0.419970 | ||||||||
\(288\) | 5.47318 | + | 1.42978i | 0.322510 | + | 0.0842505i | ||||
\(289\) | −11.2351 | −0.660890 | ||||||||
\(290\) | 25.5217 | − | 23.0379i | 1.49869 | − | 1.35283i | ||||
\(291\) | −13.4240 | + | 5.56041i | −0.786930 | + | 0.325957i | ||||
\(292\) | 1.82237 | + | 2.23893i | 0.106646 | + | 0.131023i | ||||
\(293\) | −4.95811 | + | 11.9699i | −0.289656 | + | 0.699292i | −0.999990 | − | 0.00457366i | \(-0.998544\pi\) |
0.710333 | + | 0.703865i | \(0.248544\pi\) | |||||||
\(294\) | 2.94157 | − | 6.18711i | 0.171556 | − | 0.360840i | ||||
\(295\) | −1.33111 | − | 1.33111i | −0.0775005 | − | 0.0775005i | ||||
\(296\) | −1.13250 | − | 4.64017i | −0.0658254 | − | 0.269704i | ||||
\(297\) | 2.28777 | − | 2.28777i | 0.132750 | − | 0.132750i | ||||
\(298\) | 8.97777 | + | 25.2517i | 0.520068 | + | 1.46279i | ||||
\(299\) | 19.7684 | + | 8.18834i | 1.14324 | + | 0.473544i | ||||
\(300\) | −9.58440 | + | 17.7585i | −0.553356 | + | 1.02528i | ||||
\(301\) | 3.95618 | + | 9.55106i | 0.228030 | + | 0.550514i | ||||
\(302\) | −2.25960 | − | 0.115577i | −0.130025 | − | 0.00665069i | ||||
\(303\) | 1.94040i | 0.111473i | ||||||||
\(304\) | 0.664639 | + | 3.48823i | 0.0381197 | + | 0.200064i | ||||
\(305\) | − | 13.3129i | − | 0.762293i | ||||||
\(306\) | 0.383867 | − | 7.50486i | 0.0219442 | − | 0.429024i | ||||
\(307\) | 8.37498 | + | 20.2190i | 0.477985 | + | 1.15396i | 0.960552 | + | 0.278099i | \(0.0897044\pi\) |
−0.482567 | + | 0.875859i | \(0.660296\pi\) | |||||||
\(308\) | 9.10271 | − | 2.72122i | 0.518675 | − | 0.155056i | ||||
\(309\) | 2.76338 | + | 1.14463i | 0.157203 | + | 0.0651157i | ||||
\(310\) | −7.36505 | + | 2.61851i | −0.418307 | + | 0.148721i | ||||
\(311\) | 5.71820 | − | 5.71820i | 0.324249 | − | 0.324249i | −0.526145 | − | 0.850395i | \(-0.676363\pi\) |
0.850395 | + | 0.526145i | \(0.176363\pi\) | |||||||
\(312\) | −9.78568 | − | 1.51215i | −0.554005 | − | 0.0856084i | ||||
\(313\) | 11.6027 | + | 11.6027i | 0.655823 | + | 0.655823i | 0.954389 | − | 0.298566i | \(-0.0965083\pi\) |
−0.298566 | + | 0.954389i | \(0.596508\pi\) | |||||||
\(314\) | −2.33898 | − | 1.11203i | −0.131996 | − | 0.0627557i | ||||
\(315\) | −2.18265 | + | 5.26938i | −0.122978 | + | 0.296896i | ||||
\(316\) | −25.4861 | − | 2.61402i | −1.43370 | − | 0.147050i | ||||
\(317\) | −19.5616 | + | 8.10268i | −1.09869 | + | 0.455092i | −0.857028 | − | 0.515269i | \(-0.827692\pi\) |
−0.241660 | + | 0.970361i | \(0.577692\pi\) | |||||||
\(318\) | 6.80511 | + | 7.53879i | 0.381612 | + | 0.422754i | ||||
\(319\) | −20.2487 | −1.13371 | ||||||||
\(320\) | 23.7821 | + | 20.0041i | 1.32946 | + | 1.11826i | ||||
\(321\) | −5.00379 | −0.279284 | ||||||||
\(322\) | −8.50389 | − | 9.42072i | −0.473903 | − | 0.524996i | ||||
\(323\) | 4.35812 | − | 1.80519i | 0.242492 | − | 0.100444i | ||||
\(324\) | 1.98956 | + | 0.204063i | 0.110531 | + | 0.0113368i | ||||
\(325\) | 13.5175 | − | 32.6341i | 0.749816 | − | 1.81022i | ||||
\(326\) | −27.9087 | − | 13.2688i | −1.54572 | − | 0.734890i | ||||
\(327\) | −0.251083 | − | 0.251083i | −0.0138849 | − | 0.0138849i | ||||
\(328\) | 2.09306 | − | 13.5450i | 0.115570 | − | 0.747897i | ||||
\(329\) | −10.9806 | + | 10.9806i | −0.605379 | + | 0.605379i | ||||
\(330\) | 16.7470 | − | 5.95411i | 0.921895 | − | 0.327763i | ||||
\(331\) | 0.922294 | + | 0.382027i | 0.0506939 | + | 0.0209981i | 0.407886 | − | 0.913033i | \(-0.366266\pi\) |
−0.357192 | + | 0.934031i | \(0.616266\pi\) | |||||||
\(332\) | 32.1234 | − | 9.60316i | 1.76300 | − | 0.527042i | ||||
\(333\) | −0.646238 | − | 1.56016i | −0.0354136 | − | 0.0854961i | ||||
\(334\) | −0.245678 | + | 4.80316i | −0.0134429 | + | 0.262817i | ||||
\(335\) | − | 25.6178i | − | 1.39965i | ||||||
\(336\) | 4.85675 | + | 3.30217i | 0.264957 | + | 0.180148i | ||||
\(337\) | − | 32.5245i | − | 1.77172i | −0.463949 | − | 0.885862i | \(-0.653568\pi\) | ||
0.463949 | − | 0.885862i | \(-0.346432\pi\) | |||||||
\(338\) | −1.05112 | − | 0.0537639i | −0.0571734 | − | 0.00292437i | ||||
\(339\) | −0.913437 | − | 2.20523i | −0.0496111 | − | 0.119772i | ||||
\(340\) | 19.6072 | − | 36.3293i | 1.06335 | − | 1.97023i | ||||
\(341\) | 4.25311 | + | 1.76170i | 0.230319 | + | 0.0954012i | ||||
\(342\) | 0.420567 | + | 1.18292i | 0.0227417 | + | 0.0639652i | ||||
\(343\) | 12.2968 | − | 12.2968i | 0.663966 | − | 0.663966i | ||||
\(344\) | 19.3471 | − | 4.72195i | 1.04313 | − | 0.254591i | ||||
\(345\) | −16.7886 | − | 16.7886i | −0.903867 | − | 0.903867i | ||||
\(346\) | −6.00579 | + | 12.6322i | −0.322873 | + | 0.679111i | ||||
\(347\) | −11.0057 | + | 26.5700i | −0.590815 | + | 1.42635i | 0.291901 | + | 0.956448i | \(0.405712\pi\) |
−0.882717 | + | 0.469906i | \(0.844288\pi\) | |||||||
\(348\) | −7.90159 | − | 9.70772i | −0.423570 | − | 0.520388i | ||||
\(349\) | −6.12429 | + | 2.53676i | −0.327826 | + | 0.135790i | −0.540525 | − | 0.841328i | \(-0.681774\pi\) |
0.212700 | + | 0.977118i | \(0.431774\pi\) | |||||||
\(350\) | −15.5519 | + | 14.0384i | −0.831286 | + | 0.750385i | ||||
\(351\) | −3.50082 | −0.186860 | ||||||||
\(352\) | −2.50275 | − | 18.1302i | −0.133397 | − | 0.966344i | ||||
\(353\) | −27.1372 | −1.44437 | −0.722185 | − | 0.691700i | \(-0.756862\pi\) | ||||
−0.722185 | + | 0.691700i | \(0.756862\pi\) | |||||||
\(354\) | −0.508726 | + | 0.459217i | −0.0270385 | + | 0.0244071i | ||||
\(355\) | −14.7974 | + | 6.12928i | −0.785364 | + | 0.325309i | ||||
\(356\) | 2.17490 | − | 1.77025i | 0.115269 | − | 0.0938233i | ||||
\(357\) | 2.98563 | − | 7.20794i | 0.158016 | − | 0.381485i | ||||
\(358\) | −11.1975 | + | 23.5522i | −0.591809 | + | 1.24477i | ||||
\(359\) | −6.86522 | − | 6.86522i | −0.362332 | − | 0.362332i | 0.502339 | − | 0.864671i | \(-0.332473\pi\) |
−0.864671 | + | 0.502339i | \(0.832473\pi\) | |||||||
\(360\) | 9.38970 | + | 5.70549i | 0.494881 | + | 0.300706i | ||||
\(361\) | 12.8778 | − | 12.8778i | 0.677777 | − | 0.677777i | ||||
\(362\) | −8.91650 | − | 25.0793i | −0.468641 | − | 1.31814i | ||||
\(363\) | 0.491715 | + | 0.203675i | 0.0258084 | + | 0.0106902i | ||||
\(364\) | −9.04670 | − | 4.88259i | −0.474176 | − | 0.255917i | ||||
\(365\) | 2.14573 | + | 5.18025i | 0.112313 | + | 0.271147i | ||||
\(366\) | −4.84035 | − | 0.247580i | −0.253009 | − | 0.0129412i | ||||
\(367\) | − | 32.3050i | − | 1.68631i | −0.537671 | − | 0.843154i | \(-0.680696\pi\) | ||
0.537671 | − | 0.843154i | \(-0.319304\pi\) | |||||||
\(368\) | −20.4368 | + | 13.4182i | −1.06534 | + | 0.699472i | ||||
\(369\) | − | 4.84572i | − | 0.252258i | ||||||
\(370\) | 0.473895 | − | 9.26496i | 0.0246366 | − | 0.481662i | ||||
\(371\) | 4.03502 | + | 9.74139i | 0.209488 | + | 0.505748i | ||||
\(372\) | 0.815080 | + | 2.72651i | 0.0422599 | + | 0.141363i | ||||
\(373\) | 1.12962 | + | 0.467902i | 0.0584893 | + | 0.0242271i | 0.411736 | − | 0.911303i | \(-0.364922\pi\) |
−0.353247 | + | 0.935530i | \(0.614922\pi\) | |||||||
\(374\) | −22.9082 | + | 8.14458i | −1.18455 | + | 0.421146i | ||||
\(375\) | −13.9809 | + | 13.9809i | −0.721973 | + | 0.721973i | ||||
\(376\) | 17.6744 | + | 24.1351i | 0.911489 | + | 1.24467i | ||||
\(377\) | 15.4926 | + | 15.4926i | 0.797911 | + | 0.797911i | ||||
\(378\) | 1.87527 | + | 0.891570i | 0.0964535 | + | 0.0458574i | ||||
\(379\) | −12.6694 | + | 30.5866i | −0.650783 | + | 1.57113i | 0.160861 | + | 0.986977i | \(0.448573\pi\) |
−0.811644 | + | 0.584152i | \(0.801427\pi\) | |||||||
\(380\) | −0.703713 | + | 6.86103i | −0.0360997 | + | 0.351964i | ||||
\(381\) | 12.4004 | − | 5.13640i | 0.635289 | − | 0.263145i | ||||
\(382\) | −9.39526 | − | 10.4082i | −0.480703 | − | 0.532529i | ||||
\(383\) | 9.01248 | 0.460516 | 0.230258 | − | 0.973130i | \(-0.426043\pi\) | ||||
0.230258 | + | 0.973130i | \(0.426043\pi\) | |||||||
\(384\) | 7.71543 | − | 8.27479i | 0.393726 | − | 0.422271i | ||||
\(385\) | 18.4532 | 0.940461 | ||||||||
\(386\) | −9.33241 | − | 10.3386i | −0.475007 | − | 0.526219i | ||||
\(387\) | 6.50505 | − | 2.69448i | 0.330670 | − | 0.136968i | ||||
\(388\) | −2.96504 | + | 28.9084i | −0.150527 | + | 1.46760i | ||||
\(389\) | −0.147171 | + | 0.355303i | −0.00746188 | + | 0.0180146i | −0.927567 | − | 0.373658i | \(-0.878103\pi\) |
0.920105 | + | 0.391673i | \(0.128103\pi\) | |||||||
\(390\) | −17.3691 | − | 8.25787i | −0.879516 | − | 0.418153i | ||||
\(391\) | 22.9650 | + | 22.9650i | 1.16139 | + | 1.16139i | ||||
\(392\) | −8.09526 | − | 11.0544i | −0.408872 | − | 0.558331i | ||||
\(393\) | −5.65467 | + | 5.65467i | −0.285240 | + | 0.285240i | ||||
\(394\) | −19.0270 | + | 6.76470i | −0.958566 | + | 0.340801i | ||||
\(395\) | −45.9731 | − | 19.0427i | −2.31316 | − | 0.958141i | ||||
\(396\) | −1.85337 | − | 6.19968i | −0.0931355 | − | 0.311546i | ||||
\(397\) | −10.7013 | − | 25.8353i | −0.537084 | − | 1.29664i | −0.926750 | − | 0.375679i | \(-0.877409\pi\) |
0.389666 | − | 0.920956i | \(-0.372591\pi\) | |||||||
\(398\) | −0.627774 | + | 12.2734i | −0.0314675 | + | 0.615210i | ||||
\(399\) | 1.30344i | 0.0652535i | ||||||||
\(400\) | 22.1511 | + | 33.7376i | 1.10755 | + | 1.68688i | ||||
\(401\) | − | 39.5351i | − | 1.97429i | −0.159825 | − | 0.987145i | \(-0.551093\pi\) | ||
0.159825 | − | 0.987145i | \(-0.448907\pi\) | |||||||
\(402\) | −9.31423 | − | 0.476415i | −0.464552 | − | 0.0237614i | ||||
\(403\) | −1.90623 | − | 4.60204i | −0.0949559 | − | 0.229244i | ||||
\(404\) | 3.41516 | + | 1.84319i | 0.169910 | + | 0.0917023i | ||||
\(405\) | 3.58888 | + | 1.48656i | 0.178333 | + | 0.0738678i | ||||
\(406\) | −4.35329 | − | 12.2444i | −0.216050 | − | 0.607681i | ||||
\(407\) | −3.86336 | + | 3.86336i | −0.191500 | + | 0.191500i | ||||
\(408\) | −12.8441 | − | 7.80449i | −0.635878 | − | 0.386380i | ||||
\(409\) | −16.6530 | − | 16.6530i | −0.823439 | − | 0.823439i | 0.163160 | − | 0.986600i | \(-0.447831\pi\) |
−0.986600 | + | 0.163160i | \(0.947831\pi\) | |||||||
\(410\) | 11.4302 | − | 24.0416i | 0.564500 | − | 1.18733i | ||||
\(411\) | 5.78010 | − | 13.9544i | 0.285111 | − | 0.688319i | ||||
\(412\) | 4.63951 | − | 3.77633i | 0.228572 | − | 0.186046i | ||||
\(413\) | −0.657361 | + | 0.272288i | −0.0323466 | + | 0.0133984i | ||||
\(414\) | −6.41627 | + | 5.79184i | −0.315343 | + | 0.284653i | ||||
\(415\) | 65.1211 | 3.19667 | ||||||||
\(416\) | −11.9569 | + | 15.7867i | −0.586233 | + | 0.774004i | ||||
\(417\) | 4.33189 | 0.212133 | ||||||||
\(418\) | 3.01518 | − | 2.72174i | 0.147477 | − | 0.133125i | ||||
\(419\) | 30.2809 | − | 12.5428i | 1.47932 | − | 0.612754i | 0.510356 | − | 0.859963i | \(-0.329514\pi\) |
0.968962 | + | 0.247210i | \(0.0795136\pi\) | |||||||
\(420\) | 7.20093 | + | 8.84691i | 0.351370 | + | 0.431685i | ||||
\(421\) | −14.0297 | + | 33.8706i | −0.683764 | + | 1.65075i | 0.0732174 | + | 0.997316i | \(0.476673\pi\) |
−0.756981 | + | 0.653436i | \(0.773327\pi\) | |||||||
\(422\) | −6.57058 | + | 13.8201i | −0.319851 | + | 0.672754i | ||||
\(423\) | 7.47867 | + | 7.47867i | 0.363626 | + | 0.363626i | ||||
\(424\) | 19.7326 | − | 4.81605i | 0.958302 | − | 0.233888i | ||||
\(425\) | 37.9111 | − | 37.9111i | 1.83896 | − | 1.83896i | ||||
\(426\) | 1.95332 | + | 5.49408i | 0.0946387 | + | 0.266189i | ||||
\(427\) | −4.64885 | − | 1.92561i | −0.224973 | − | 0.0931870i | ||||
\(428\) | −4.75311 | + | 8.80680i | −0.229750 | + | 0.425693i | ||||
\(429\) | 4.33448 | + | 10.4644i | 0.209271 | + | 0.505224i | ||||
\(430\) | 38.6301 | + | 1.97590i | 1.86291 | + | 0.0952862i | ||||
\(431\) | 11.0244i | 0.531027i | 0.964107 | + | 0.265513i | \(0.0855414\pi\) | ||||
−0.964107 | + | 0.265513i | \(0.914459\pi\) | |||||||
\(432\) | 2.24904 | − | 3.30784i | 0.108207 | − | 0.159148i | ||||
\(433\) | 26.0973i | 1.25416i | 0.778956 | + | 0.627079i | \(0.215750\pi\) | ||||
−0.778956 | + | 0.627079i | \(0.784250\pi\) | |||||||
\(434\) | −0.150922 | + | 2.95062i | −0.00724447 | + | 0.141634i | ||||
\(435\) | −9.30363 | − | 22.4609i | −0.446075 | − | 1.07692i | ||||
\(436\) | −0.680418 | + | 0.203408i | −0.0325861 | + | 0.00974150i | ||||
\(437\) | −5.01291 | − | 2.07642i | −0.239800 | − | 0.0993285i | ||||
\(438\) | 1.92336 | − | 0.683816i | 0.0919017 | − | 0.0326740i | ||||
\(439\) | −9.89316 | + | 9.89316i | −0.472175 | + | 0.472175i | −0.902618 | − | 0.430443i | \(-0.858357\pi\) |
0.430443 | + | 0.902618i | \(0.358357\pi\) | |||||||
\(440\) | 5.42867 | − | 35.1310i | 0.258802 | − | 1.67481i | ||||
\(441\) | −3.42539 | − | 3.42539i | −0.163114 | − | 0.163114i | ||||
\(442\) | 23.7590 | + | 11.2959i | 1.13010 | + | 0.537290i | ||||
\(443\) | 7.29919 | − | 17.6218i | 0.346795 | − | 0.837237i | −0.650200 | − | 0.759763i | \(-0.725315\pi\) |
0.996994 | − | 0.0774732i | \(-0.0246852\pi\) | |||||||
\(444\) | −3.35978 | − | 0.344601i | −0.159448 | − | 0.0163540i | ||||
\(445\) | 5.03210 | − | 2.08436i | 0.238544 | − | 0.0988083i | ||||
\(446\) | 13.3802 | + | 14.8228i | 0.633571 | + | 0.701879i | ||||
\(447\) | 18.9505 | 0.896330 | ||||||||
\(448\) | 10.4253 | − | 5.41126i | 0.492550 | − | 0.255658i | ||||
\(449\) | 7.16414 | 0.338096 | 0.169048 | − | 0.985608i | \(-0.445931\pi\) | ||||
0.169048 | + | 0.985608i | \(0.445931\pi\) | |||||||
\(450\) | 9.56130 | + | 10.5921i | 0.450724 | + | 0.499318i | ||||
\(451\) | −14.4844 | + | 5.99964i | −0.682044 | + | 0.282512i | ||||
\(452\) | −4.74894 | − | 0.487083i | −0.223371 | − | 0.0229104i | ||||
\(453\) | −0.612243 | + | 1.47809i | −0.0287657 | + | 0.0694465i | ||||
\(454\) | 23.3407 | + | 11.0970i | 1.09543 | + | 0.520808i | ||||
\(455\) | −14.1189 | − | 14.1189i | −0.661902 | − | 0.661902i | ||||
\(456\) | 2.48147 | + | 0.383453i | 0.116206 | + | 0.0179568i | ||||
\(457\) | −15.2704 | + | 15.2704i | −0.714317 | + | 0.714317i | −0.967435 | − | 0.253118i | \(-0.918544\pi\) |
0.253118 | + | 0.967435i | \(0.418544\pi\) | |||||||
\(458\) | −13.6498 | + | 4.85294i | −0.637814 | + | 0.226763i | ||||
\(459\) | −4.90919 | − | 2.03345i | −0.229142 | − | 0.0949135i | ||||
\(460\) | −45.4958 | + | 13.6008i | −2.12125 | + | 0.634141i | ||||
\(461\) | −5.40240 | − | 13.0425i | −0.251615 | − | 0.607452i | 0.746720 | − | 0.665139i | \(-0.231628\pi\) |
−0.998335 | + | 0.0576867i | \(0.981628\pi\) | |||||||
\(462\) | 0.343174 | − | 6.70928i | 0.0159659 | − | 0.312144i | ||||
\(463\) | − | 13.5410i | − | 0.629305i | −0.949207 | − | 0.314652i | \(-0.898112\pi\) | ||
0.949207 | − | 0.314652i | \(-0.101888\pi\) | |||||||
\(464\) | −24.5916 | + | 4.68561i | −1.14163 | + | 0.217524i | ||||
\(465\) | 5.52723i | 0.256319i | ||||||||
\(466\) | −6.11255 | − | 0.312652i | −0.283159 | − | 0.0144833i | ||||
\(467\) | 6.18122 | + | 14.9228i | 0.286033 | + | 0.690544i | 0.999953 | − | 0.00968289i | \(-0.00308221\pi\) |
−0.713920 | + | 0.700227i | \(0.753082\pi\) | |||||||
\(468\) | −3.32544 | + | 6.16154i | −0.153719 | + | 0.284817i | ||||
\(469\) | −8.94573 | − | 3.70544i | −0.413075 | − | 0.171101i | ||||
\(470\) | 19.4639 | + | 54.7458i | 0.897802 | + | 2.52524i | ||||
\(471\) | −1.29494 | + | 1.29494i | −0.0596676 | + | 0.0596676i | ||||
\(472\) | 0.324993 | + | 1.33158i | 0.0149590 | + | 0.0612910i | ||||
\(473\) | −16.1082 | − | 16.1082i | −0.740656 | − | 0.740656i | ||||
\(474\) | −7.77857 | + | 16.3609i | −0.357282 | + | 0.751483i | ||||
\(475\) | −3.42780 | + | 8.27543i | −0.157278 | + | 0.379703i | ||||
\(476\) | −9.85010 | − | 12.1016i | −0.451479 | − | 0.554676i | ||||
\(477\) | 6.63468 | − | 2.74817i | 0.303781 | − | 0.125830i | ||||
\(478\) | 0.220794 | − | 0.199307i | 0.0100989 | − | 0.00911607i | ||||
\(479\) | −6.44443 | −0.294453 | −0.147227 | − | 0.989103i | \(-0.547035\pi\) | ||||
−0.147227 | + | 0.989103i | \(0.547035\pi\) | |||||||
\(480\) | 18.9611 | − | 11.1065i | 0.865452 | − | 0.506938i | ||||
\(481\) | 5.91185 | 0.269557 | ||||||||
\(482\) | −13.7231 | + | 12.3876i | −0.625070 | + | 0.564238i | ||||
\(483\) | −8.29091 | + | 3.43421i | −0.377250 | + | 0.156262i | ||||
\(484\) | 0.825555 | − | 0.671960i | 0.0375252 | − | 0.0305436i | ||||
\(485\) | −21.5998 | + | 52.1465i | −0.980797 | + | 2.36785i | ||||
\(486\) | 0.607232 | − | 1.27721i | 0.0275446 | − | 0.0579355i | ||||
\(487\) | 4.42962 | + | 4.42962i | 0.200725 | + | 0.200725i | 0.800311 | − | 0.599585i | \(-0.204668\pi\) |
−0.599585 | + | 0.800311i | \(0.704668\pi\) | |||||||
\(488\) | −5.03360 | + | 8.28395i | −0.227860 | + | 0.374997i | ||||
\(489\) | −15.4512 | + | 15.4512i | −0.698727 | + | 0.698727i | ||||
\(490\) | −8.91486 | − | 25.0747i | −0.402732 | − | 1.13276i | ||||
\(491\) | −11.7801 | − | 4.87947i | −0.531628 | − | 0.220207i | 0.100688 | − | 0.994918i | \(-0.467896\pi\) |
−0.632316 | + | 0.774711i | \(0.717896\pi\) | |||||||
\(492\) | −8.52858 | − | 4.60296i | −0.384498 | − | 0.207517i | ||||
\(493\) | 12.7264 | + | 30.7242i | 0.573167 | + | 1.38375i | ||||
\(494\) | −4.38942 | − | 0.224515i | −0.197489 | − | 0.0101014i | ||||
\(495\) | − | 12.5681i | − | 0.564895i | ||||||
\(496\) | 5.57297 | + | 1.15536i | 0.250234 | + | 0.0518770i | ||||
\(497\) | 6.05380i | 0.271550i | ||||||||
\(498\) | 1.21106 | − | 23.6770i | 0.0542687 | − | 1.06099i | ||||
\(499\) | 2.23679 | + | 5.40009i | 0.100132 | + | 0.241741i | 0.966005 | − | 0.258524i | \(-0.0832360\pi\) |
−0.865873 | + | 0.500265i | \(0.833236\pi\) | |||||||
\(500\) | 11.3263 | + | 37.8873i | 0.506526 | + | 1.69437i | ||||
\(501\) | 3.14192 | + | 1.30143i | 0.140371 | + | 0.0581434i | ||||
\(502\) | 4.23161 | − | 1.50447i | 0.188866 | − | 0.0671478i | ||||
\(503\) | 2.89565 | − | 2.89565i | 0.129111 | − | 0.129111i | −0.639598 | − | 0.768709i | \(-0.720899\pi\) |
0.768709 | + | 0.639598i | \(0.220899\pi\) | |||||||
\(504\) | 3.35051 | − | 2.45362i | 0.149243 | − | 0.109293i | ||||
\(505\) | 5.32991 | + | 5.32991i | 0.237178 | + | 0.237178i | ||||
\(506\) | 25.2567 | + | 12.0079i | 1.12280 | + | 0.533817i | ||||
\(507\) | −0.284803 | + | 0.687575i | −0.0126485 | + | 0.0305363i | ||||
\(508\) | 2.73894 | − | 26.7040i | 0.121521 | − | 1.18480i | ||||
\(509\) | 5.36042 | − | 2.22036i | 0.237596 | − | 0.0984156i | −0.260708 | − | 0.965418i | \(-0.583956\pi\) |
0.498305 | + | 0.867002i | \(0.333956\pi\) | |||||||
\(510\) | −19.5600 | − | 21.6688i | −0.866131 | − | 0.959511i | ||||
\(511\) | 2.11930 | 0.0937525 | ||||||||
\(512\) | −7.23493 | − | 21.4396i | −0.319742 | − | 0.947505i | ||||
\(513\) | 0.887747 | 0.0391950 | ||||||||
\(514\) | −2.43825 | − | 2.70113i | −0.107547 | − | 0.119142i | ||||
\(515\) | 10.7345 | − | 4.44639i | 0.473020 | − | 0.195931i | ||||
\(516\) | 1.43681 | − | 14.0085i | 0.0632519 | − | 0.616691i | ||||
\(517\) | 13.0950 | − | 31.6142i | 0.575919 | − | 1.39039i | ||||
\(518\) | −3.16677 | − | 1.50560i | −0.139140 | − | 0.0661521i | ||||
\(519\) | 6.99360 | + | 6.99360i | 0.306985 | + | 0.306985i | ||||
\(520\) | −31.0330 | + | 22.7258i | −1.36088 | + | 0.996592i | ||||
\(521\) | 18.2831 | − | 18.2831i | 0.800998 | − | 0.800998i | −0.182254 | − | 0.983252i | \(-0.558339\pi\) |
0.983252 | + | 0.182254i | \(0.0583392\pi\) | |||||||
\(522\) | −8.33946 | + | 2.96494i | −0.365008 | + | 0.129772i | ||||
\(523\) | −5.66441 | − | 2.34627i | −0.247687 | − | 0.102595i | 0.255386 | − | 0.966839i | \(-0.417797\pi\) |
−0.503073 | + | 0.864244i | \(0.667797\pi\) | |||||||
\(524\) | 4.58097 | + | 15.3237i | 0.200121 | + | 0.669420i | ||||
\(525\) | 5.66927 | + | 13.6868i | 0.247427 | + | 0.597342i | ||||
\(526\) | 1.31248 | − | 25.6598i | 0.0572267 | − | 1.11882i | ||||
\(527\) | − | 7.56065i | − | 0.329347i | ||||||
\(528\) | −12.6721 | − | 2.62711i | −0.551483 | − | 0.114330i | ||||
\(529\) | − | 14.3570i | − | 0.624217i | ||||||
\(530\) | 39.3999 | + | 2.01527i | 1.71142 | + | 0.0875378i | ||||
\(531\) | 0.185450 | + | 0.447716i | 0.00804785 | + | 0.0194292i | ||||
\(532\) | 2.29408 | + | 1.23814i | 0.0994610 | + | 0.0536800i | ||||
\(533\) | 15.6727 | + | 6.49185i | 0.678860 | + | 0.281193i | ||||
\(534\) | −0.664259 | − | 1.86835i | −0.0287453 | − | 0.0808516i | ||||
\(535\) | −13.7445 | + | 13.7445i | −0.594224 | + | 0.594224i | ||||
\(536\) | −9.68611 | + | 15.9407i | −0.418376 | + | 0.688535i | ||||
\(537\) | 13.0393 | + | 13.0393i | 0.562686 | + | 0.562686i | ||||
\(538\) | 5.05352 | − | 10.6293i | 0.217873 | − | 0.458260i | ||||
\(539\) | −5.99780 | + | 14.4800i | −0.258343 | + | 0.623696i | ||||
\(540\) | 6.02546 | − | 4.90442i | 0.259295 | − | 0.211053i | ||||
\(541\) | 5.96613 | − | 2.47125i | 0.256504 | − | 0.106247i | −0.250726 | − | 0.968058i | \(-0.580669\pi\) |
0.507230 | + | 0.861811i | \(0.330669\pi\) | |||||||
\(542\) | 31.2402 | − | 28.1999i | 1.34188 | − | 1.21129i | ||||
\(543\) | −18.8212 | −0.807696 | ||||||||
\(544\) | −25.9367 | + | 15.1924i | −1.11203 | + | 0.651370i | ||||
\(545\) | −1.37936 | −0.0590851 | ||||||||
\(546\) | −5.39596 | + | 4.87082i | −0.230926 | + | 0.208452i | ||||
\(547\) | 32.5453 | − | 13.4807i | 1.39154 | − | 0.576393i | 0.443996 | − | 0.896029i | \(-0.353560\pi\) |
0.947541 | + | 0.319635i | \(0.103560\pi\) | |||||||
\(548\) | −19.0695 | − | 23.4284i | −0.814611 | − | 1.00081i | ||||
\(549\) | −1.31150 | + | 3.16624i | −0.0559735 | + | 0.135132i | ||||
\(550\) | 19.8229 | − | 41.6943i | 0.845253 | − | 1.77785i | ||||
\(551\) | −3.92865 | − | 3.92865i | −0.167366 | − | 0.167366i | ||||
\(552\) | 4.09895 | + | 16.7945i | 0.174463 | + | 0.714821i | ||||
\(553\) | −13.2994 | + | 13.2994i | −0.565547 | + | 0.565547i | ||||
\(554\) | −6.88104 | − | 19.3542i | −0.292347 | − | 0.822282i | ||||
\(555\) | −6.06054 | − | 2.51036i | −0.257256 | − | 0.106559i | ||||
\(556\) | 4.11487 | − | 7.62423i | 0.174509 | − | 0.323339i | ||||
\(557\) | −6.30768 | − | 15.2281i | −0.267265 | − | 0.645235i | 0.732088 | − | 0.681210i | \(-0.238546\pi\) |
−0.999353 | + | 0.0359756i | \(0.988546\pi\) | |||||||
\(558\) | 2.00961 | + | 0.102790i | 0.0850736 | + | 0.00435144i | ||||
\(559\) | 24.6494i | 1.04256i | ||||||||
\(560\) | 22.4110 | − | 4.27013i | 0.947036 | − | 0.180446i | ||||
\(561\) | 17.1918i | 0.725839i | ||||||||
\(562\) | 0.0438267 | − | 0.856842i | 0.00184872 | − | 0.0361437i | ||||
\(563\) | −3.06528 | − | 7.40024i | −0.129186 | − | 0.311883i | 0.846031 | − | 0.533134i | \(-0.178986\pi\) |
−0.975217 | + | 0.221251i | \(0.928986\pi\) | |||||||
\(564\) | 20.2667 | − | 6.05864i | 0.853380 | − | 0.255115i | ||||
\(565\) | −8.56638 | − | 3.54831i | −0.360390 | − | 0.149279i | ||||
\(566\) | −35.7899 | + | 12.7245i | −1.50436 | + | 0.534849i | ||||
\(567\) | 1.03821 | − | 1.03821i | 0.0436008 | − | 0.0436008i | ||||
\(568\) | 11.5252 | + | 1.78094i | 0.483586 | + | 0.0747268i | ||||
\(569\) | 17.9001 | + | 17.9001i | 0.750410 | + | 0.750410i | 0.974556 | − | 0.224146i | \(-0.0719591\pi\) |
−0.224146 | + | 0.974556i | \(0.571959\pi\) | |||||||
\(570\) | 4.40448 | + | 2.09405i | 0.184483 | + | 0.0877100i | ||||
\(571\) | −2.41948 | + | 5.84113i | −0.101252 | + | 0.244444i | −0.966385 | − | 0.257098i | \(-0.917234\pi\) |
0.865133 | + | 0.501542i | \(0.167234\pi\) | |||||||
\(572\) | 22.5349 | + | 2.31133i | 0.942230 | + | 0.0966414i | ||||
\(573\) | −9.15996 | + | 3.79418i | −0.382663 | + | 0.158504i | ||||
\(574\) | −6.74201 | − | 7.46889i | −0.281406 | − | 0.311745i | ||||
\(575\) | −61.6698 | −2.57181 | ||||||||
\(576\) | −3.68551 | − | 7.10050i | −0.153563 | − | 0.295854i | ||||
\(577\) | −24.5768 | −1.02314 | −0.511572 | − | 0.859240i | \(-0.670937\pi\) | ||||
−0.511572 | + | 0.859240i | \(0.670937\pi\) | |||||||
\(578\) | 10.6465 | + | 11.7944i | 0.442838 | + | 0.490581i | ||||
\(579\) | −9.09868 | + | 3.76880i | −0.378128 | + | 0.156626i | ||||
\(580\) | −48.3694 | − | 4.96108i | −2.00843 | − | 0.205998i | ||||
\(581\) | 9.41931 | − | 22.7402i | 0.390779 | − | 0.943424i | ||||
\(582\) | 18.5580 | + | 8.82311i | 0.769252 | + | 0.365730i | ||||
\(583\) | −16.4292 | − | 16.4292i | −0.680429 | − | 0.680429i | ||||
\(584\) | 0.623471 | − | 4.03472i | 0.0257994 | − | 0.166958i | ||||
\(585\) | −9.61609 | + | 9.61609i | −0.397576 | + | 0.397576i | ||||
\(586\) | 17.2641 | − | 6.13795i | 0.713175 | − | 0.253556i | ||||
\(587\) | 29.2268 | + | 12.1061i | 1.20632 | + | 0.499674i | 0.893036 | − | 0.449985i | \(-0.148571\pi\) |
0.313284 | + | 0.949659i | \(0.398571\pi\) | |||||||
\(588\) | −9.28255 | + | 2.77499i | −0.382806 | + | 0.114438i | ||||
\(589\) | 0.483385 | + | 1.16699i | 0.0199175 | + | 0.0480852i | ||||
\(590\) | −0.135993 | + | 2.65875i | −0.00559874 | + | 0.109459i | ||||
\(591\) | 14.2791i | 0.587365i | ||||||||
\(592\) | −3.79797 | + | 5.58595i | −0.156095 | + | 0.229581i | ||||
\(593\) | 20.8403i | 0.855810i | 0.903824 | + | 0.427905i | \(0.140748\pi\) | ||||
−0.903824 | + | 0.427905i | \(0.859252\pi\) | |||||||
\(594\) | −4.56956 | − | 0.233729i | −0.187491 | − | 0.00959003i | ||||
\(595\) | −11.5979 | − | 27.9998i | −0.475467 | − | 1.14788i | ||||
\(596\) | 18.0012 | − | 33.3534i | 0.737356 | − | 1.36621i | ||||
\(597\) | 8.02847 | + | 3.32550i | 0.328584 | + | 0.136104i | ||||
\(598\) | −10.1369 | − | 28.5118i | −0.414527 | − | 1.16593i | ||||
\(599\) | 31.6901 | − | 31.6901i | 1.29482 | − | 1.29482i | 0.363053 | − | 0.931768i | \(-0.381734\pi\) |
0.931768 | − | 0.363053i | \(-0.118266\pi\) | |||||||
\(600\) | 27.7247 | − | 6.76664i | 1.13186 | − | 0.276247i | ||||
\(601\) | −12.9864 | − | 12.9864i | −0.529726 | − | 0.529726i | 0.390764 | − | 0.920491i | \(-0.372211\pi\) |
−0.920491 | + | 0.390764i | \(0.872211\pi\) | |||||||
\(602\) | 6.27756 | − | 13.2038i | 0.255854 | − | 0.538147i | ||||
\(603\) | −2.52371 | + | 6.09277i | −0.102773 | + | 0.248117i | ||||
\(604\) | 2.01990 | + | 2.48160i | 0.0821884 | + | 0.100975i | ||||
\(605\) | 1.91010 | − | 0.791190i | 0.0776567 | − | 0.0321665i | ||||
\(606\) | 2.03699 | − | 1.83875i | 0.0827471 | − | 0.0746941i | ||||
\(607\) | −7.55886 | −0.306805 | −0.153402 | − | 0.988164i | \(-0.549023\pi\) | ||||
−0.153402 | + | 0.988164i | \(0.549023\pi\) | |||||||
\(608\) | 3.03204 | − | 4.00321i | 0.122966 | − | 0.162352i | ||||
\(609\) | −9.18905 | −0.372359 | ||||||||
\(610\) | −13.9755 | + | 12.6154i | −0.565853 | + | 0.510784i | ||||
\(611\) | −34.2078 | + | 14.1693i | −1.38390 | + | 0.573230i | ||||
\(612\) | −8.24218 | + | 6.70872i | −0.333170 | + | 0.271184i | ||||
\(613\) | −5.16053 | + | 12.4586i | −0.208432 | + | 0.503199i | −0.993177 | − | 0.116620i | \(-0.962794\pi\) |
0.784745 | + | 0.619819i | \(0.212794\pi\) | |||||||
\(614\) | 13.2892 | − | 27.9516i | 0.536308 | − | 1.12804i | ||||
\(615\) | −13.3102 | − | 13.3102i | −0.536721 | − | 0.536721i | ||||
\(616\) | −11.4825 | − | 6.97715i | −0.462644 | − | 0.281117i | ||||
\(617\) | −23.7425 | + | 23.7425i | −0.955835 | + | 0.955835i | −0.999065 | − | 0.0432297i | \(-0.986235\pi\) |
0.0432297 | + | 0.999065i | \(0.486235\pi\) | |||||||
\(618\) | −1.41701 | − | 3.98560i | −0.0570003 | − | 0.160324i | ||||
\(619\) | 37.9338 | + | 15.7127i | 1.52469 | + | 0.631547i | 0.978524 | − | 0.206131i | \(-0.0660872\pi\) |
0.546165 | + | 0.837678i | \(0.316087\pi\) | |||||||
\(620\) | 9.72806 | + | 5.25033i | 0.390688 | + | 0.210858i | ||||
\(621\) | 2.33898 | + | 5.64679i | 0.0938598 | + | 0.226598i | ||||
\(622\) | −11.4215 | − | 0.584198i | −0.457959 | − | 0.0234242i | ||||
\(623\) | − | 2.05869i | − | 0.0824798i | ||||||
\(624\) | 7.68562 | + | 11.7057i | 0.307671 | + | 0.468604i | ||||
\(625\) | 26.3564i | 1.05426i | ||||||||
\(626\) | 1.18539 | − | 23.1751i | 0.0473775 | − | 0.926263i | ||||
\(627\) | −1.09915 | − | 2.65358i | −0.0438957 | − | 0.105974i | ||||
\(628\) | 1.04906 | + | 3.50918i | 0.0418620 | + | 0.140032i | ||||
\(629\) | 8.29016 | + | 3.43390i | 0.330551 | + | 0.136919i | ||||
\(630\) | 7.59997 | − | 2.70203i | 0.302790 | − | 0.107652i | ||||
\(631\) | −5.63001 | + | 5.63001i | −0.224127 | + | 0.224127i | −0.810234 | − | 0.586107i | \(-0.800660\pi\) |
0.586107 | + | 0.810234i | \(0.300660\pi\) | |||||||
\(632\) | 21.4068 | + | 29.2318i | 0.851516 | + | 1.16278i | ||||
\(633\) | 7.65129 | + | 7.65129i | 0.304111 | + | 0.304111i | ||||
\(634\) | 27.0428 | + | 12.8571i | 1.07401 | + | 0.510621i | ||||
\(635\) | 19.9527 | − | 48.1701i | 0.791798 | − | 1.91157i | ||||
\(636\) | 1.46544 | − | 14.2877i | 0.0581085 | − | 0.566544i | ||||
\(637\) | 15.6679 | − | 6.48986i | 0.620785 | − | 0.257137i | ||||
\(638\) | 19.1879 | + | 21.2566i | 0.759656 | + | 0.841557i | ||||
\(639\) | 4.12313 | 0.163108 | ||||||||
\(640\) | −1.53644 | − | 43.9220i | −0.0607333 | − | 1.73617i | ||||
\(641\) | 36.4242 | 1.43867 | 0.719334 | − | 0.694664i | \(-0.244447\pi\) | ||||
0.719334 | + | 0.694664i | \(0.244447\pi\) | |||||||
\(642\) | 4.74165 | + | 5.25287i | 0.187138 | + | 0.207314i | ||||
\(643\) | −22.9769 | + | 9.51734i | −0.906120 | + | 0.375327i | −0.786570 | − | 0.617501i | \(-0.788145\pi\) |
−0.119550 | + | 0.992828i | \(0.538145\pi\) | |||||||
\(644\) | −1.83126 | + | 17.8544i | −0.0721618 | + | 0.703561i | ||||
\(645\) | 10.4669 | − | 25.2693i | 0.412133 | − | 0.994978i | ||||
\(646\) | −6.02486 | − | 2.86443i | −0.237045 | − | 0.112700i | ||||
\(647\) | −34.0895 | − | 34.0895i | −1.34020 | − | 1.34020i | −0.895860 | − | 0.444336i | \(-0.853440\pi\) |
−0.444336 | − | 0.895860i | \(-0.646560\pi\) | |||||||
\(648\) | −1.67111 | − | 2.28197i | −0.0656475 | − | 0.0896442i | ||||
\(649\) | 1.10866 | − | 1.10866i | 0.0435188 | − | 0.0435188i | ||||
\(650\) | −47.0679 | + | 16.7341i | −1.84616 | + | 0.656367i | ||||
\(651\) | 1.93010 | + | 0.799475i | 0.0756468 | + | 0.0313339i | ||||
\(652\) | 12.5174 | + | 41.8716i | 0.490218 | + | 1.63982i | ||||
\(653\) | 11.4288 | + | 27.5915i | 0.447243 | + | 1.07974i | 0.973351 | + | 0.229322i | \(0.0736508\pi\) |
−0.526108 | + | 0.850418i | \(0.676349\pi\) | |||||||
\(654\) | −0.0256519 | + | 0.501511i | −0.00100307 | + | 0.0196106i | ||||
\(655\) | 31.0645i | 1.21379i | ||||||||
\(656\) | −16.2026 | + | 10.6382i | −0.632607 | + | 0.415350i | ||||
\(657\) | − | 1.44342i | − | 0.0563131i | ||||||
\(658\) | 21.9325 | + | 1.12183i | 0.855018 | + | 0.0437334i | ||||
\(659\) | −4.60322 | − | 11.1132i | −0.179316 | − | 0.432907i | 0.808507 | − | 0.588486i | \(-0.200276\pi\) |
−0.987824 | + | 0.155579i | \(0.950276\pi\) | |||||||
\(660\) | −22.1202 | − | 11.9385i | −0.861027 | − | 0.464705i | ||||
\(661\) | −18.8580 | − | 7.81122i | −0.733490 | − | 0.303821i | −0.0155046 | − | 0.999880i | \(-0.504935\pi\) |
−0.717985 | + | 0.696058i | \(0.754935\pi\) | |||||||
\(662\) | −0.472934 | − | 1.33022i | −0.0183811 | − | 0.0517003i | ||||
\(663\) | 13.1538 | − | 13.1538i | 0.510850 | − | 0.510850i | ||||
\(664\) | −40.5217 | − | 24.6223i | −1.57255 | − | 0.955530i | ||||
\(665\) | 3.58029 | + | 3.58029i | 0.138838 | + | 0.138838i | ||||
\(666\) | −1.02543 | + | 2.15683i | −0.0397347 | + | 0.0835754i | ||||
\(667\) | 14.6385 | − | 35.3404i | 0.566803 | − | 1.36838i | ||||
\(668\) | 5.27506 | − | 4.29363i | 0.204098 | − | 0.166125i | ||||
\(669\) | 13.0451 | − | 5.40346i | 0.504353 | − | 0.208910i | ||||
\(670\) | −26.8930 | + | 24.2758i | −1.03897 | + | 0.937855i | ||||
\(671\) | 11.0881 | 0.428050 | ||||||||
\(672\) | −1.13577 | − | 8.22767i | −0.0438134 | − | 0.317389i | ||||
\(673\) | −46.7689 | −1.80281 | −0.901404 | − | 0.432979i | \(-0.857463\pi\) | ||||
−0.901404 | + | 0.432979i | \(0.857463\pi\) | |||||||
\(674\) | −34.1435 | + | 30.8206i | −1.31516 | + | 1.18717i | ||||
\(675\) | 9.32184 | − | 3.86123i | 0.358798 | − | 0.148619i | ||||
\(676\) | 0.939614 | + | 1.15439i | 0.0361390 | + | 0.0443996i | ||||
\(677\) | −7.05433 | + | 17.0307i | −0.271120 | + | 0.654541i | −0.999532 | − | 0.0305981i | \(-0.990259\pi\) |
0.728412 | + | 0.685140i | \(0.240259\pi\) | |||||||
\(678\) | −1.44942 | + | 3.04861i | −0.0556646 | + | 0.117081i | ||||
\(679\) | 15.0853 | + | 15.0853i | 0.578920 | + | 0.578920i | ||||
\(680\) | −56.7177 | + | 13.8428i | −2.17502 | + | 0.530848i | ||||
\(681\) | 12.9222 | − | 12.9222i | 0.495179 | − | 0.495179i | ||||
\(682\) | −2.18091 | − | 6.13422i | −0.0835115 | − | 0.234892i | ||||
\(683\) | 36.1287 | + | 14.9650i | 1.38243 | + | 0.572620i | 0.945129 | − | 0.326697i | \(-0.105936\pi\) |
0.437297 | + | 0.899317i | \(0.355936\pi\) | |||||||
\(684\) | 0.843272 | − | 1.56246i | 0.0322433 | − | 0.0597420i | ||||
\(685\) | −22.4532 | − | 54.2068i | −0.857893 | − | 2.07114i | ||||
\(686\) | −24.5615 | − | 1.25630i | −0.937764 | − | 0.0479658i | ||||
\(687\) | 10.2437i | 0.390823i | ||||||||
\(688\) | −23.2905 | − | 15.8355i | −0.887943 | − | 0.603725i | ||||
\(689\) | 25.1406i | 0.957779i | ||||||||
\(690\) | −1.71520 | + | 33.5333i | −0.0652966 | + | 1.27659i | ||||
\(691\) | −11.2605 | − | 27.1853i | −0.428371 | − | 1.03418i | −0.979804 | − | 0.199959i | \(-0.935919\pi\) |
0.551434 | − | 0.834219i | \(-0.314081\pi\) | |||||||
\(692\) | 18.9521 | − | 5.66567i | 0.720452 | − | 0.215377i | ||||
\(693\) | −4.38878 | − | 1.81789i | −0.166716 | − | 0.0690560i | ||||
\(694\) | 38.3217 | − | 13.6246i | 1.45467 | − | 0.517182i | ||||
\(695\) | 11.8989 | − | 11.8989i | 0.451349 | − | 0.451349i | ||||
\(696\) | −2.70329 | + | 17.4941i | −0.102468 | + | 0.663111i | ||||
\(697\) | 18.2070 | + | 18.2070i | 0.689639 | + | 0.689639i | ||||
\(698\) | 8.46648 | + | 4.02527i | 0.320461 | + | 0.152359i | ||||
\(699\) | −1.65621 | + | 3.99844i | −0.0626435 | + | 0.151235i | ||||
\(700\) | 29.4744 | + | 3.02309i | 1.11403 | + | 0.114262i | ||||
\(701\) | −21.0746 | + | 8.72940i | −0.795978 | + | 0.329705i | −0.743344 | − | 0.668909i | \(-0.766762\pi\) |
−0.0526339 | + | 0.998614i | \(0.516762\pi\) | |||||||
\(702\) | 3.31742 | + | 3.67508i | 0.125208 | + | 0.138707i | ||||
\(703\) | −1.49914 | −0.0565411 | ||||||||
\(704\) | −16.6610 | + | 19.8077i | −0.627937 | + | 0.746533i | ||||
\(705\) | 41.0849 | 1.54735 | ||||||||
\(706\) | 25.7156 | + | 28.4881i | 0.967819 | + | 1.07216i | ||||
\(707\) | 2.63214 | − | 1.09027i | 0.0989917 | − | 0.0410037i | ||||
\(708\) | 0.964151 | + | 0.0988897i | 0.0362350 | + | 0.00371650i | ||||
\(709\) | 0.617186 | − | 1.49002i | 0.0231789 | − | 0.0559588i | −0.911866 | − | 0.410487i | \(-0.865359\pi\) |
0.935045 | + | 0.354528i | \(0.115359\pi\) | |||||||
\(710\) | 20.4566 | + | 9.72578i | 0.767721 | + | 0.365002i | ||||
\(711\) | 9.05796 | + | 9.05796i | 0.339700 | + | 0.339700i | ||||
\(712\) | −3.91933 | − | 0.605640i | −0.146883 | − | 0.0226973i | ||||
\(713\) | −6.14944 | + | 6.14944i | −0.230298 | + | 0.230298i | ||||
\(714\) | −10.3959 | + | 3.69609i | −0.389058 | + | 0.138323i | ||||
\(715\) | 40.6496 | + | 16.8376i | 1.52021 | + | 0.629691i | ||||
\(716\) | 35.3355 | − | 10.5634i | 1.32055 | − | 0.394773i | ||||
\(717\) | −0.0804880 | − | 0.194315i | −0.00300588 | − | 0.00725683i | ||||
\(718\) | −0.701383 | + | 13.7125i | −0.0261754 | + | 0.511746i | ||||
\(719\) | − | 11.8288i | − | 0.441140i | −0.975371 | − | 0.220570i | \(-0.929208\pi\) | ||
0.975371 | − | 0.220570i | \(-0.0707917\pi\) | |||||||
\(720\) | −2.90830 | − | 15.2637i | −0.108386 | − | 0.568844i | ||||
\(721\) | − | 4.39163i | − | 0.163553i | ||||||
\(722\) | −25.7219 | − | 1.31565i | −0.957270 | − | 0.0489635i | ||||
\(723\) | 5.00259 | + | 12.0773i | 0.186048 | + | 0.449161i | ||||
\(724\) | −17.8783 | + | 33.1258i | −0.664442 | + | 1.23111i | ||||
\(725\) | −58.3407 | − | 24.1655i | −2.16672 | − | 0.897484i | ||||
\(726\) | −0.252142 | − | 0.709196i | −0.00935786 | − | 0.0263207i | ||||
\(727\) | −12.9471 | + | 12.9471i | −0.480182 | + | 0.480182i | −0.905190 | − | 0.425008i | \(-0.860271\pi\) |
0.425008 | + | 0.905190i | \(0.360271\pi\) | |||||||
\(728\) | 3.44713 | + | 14.1238i | 0.127759 | + | 0.523463i | ||||
\(729\) | −0.707107 | − | 0.707107i | −0.0261891 | − | 0.0261891i | ||||
\(730\) | 3.40479 | − | 7.16141i | 0.126017 | − | 0.265056i | ||||
\(731\) | −14.3176 | + | 34.5657i | −0.529555 | + | 1.27846i | ||||
\(732\) | 4.32687 | + | 5.31589i | 0.159926 | + | 0.196481i | ||||
\(733\) | 8.82183 | − | 3.65412i | 0.325842 | − | 0.134968i | −0.213765 | − | 0.976885i | \(-0.568573\pi\) |
0.539607 | + | 0.841917i | \(0.318573\pi\) | |||||||
\(734\) | −33.9131 | + | 30.6126i | −1.25175 | + | 1.12993i | ||||
\(735\) | −18.8178 | −0.694104 | ||||||||
\(736\) | 33.4523 | + | 8.73886i | 1.23307 | + | 0.322119i | ||||
\(737\) | 21.3367 | 0.785946 | ||||||||
\(738\) | −5.08692 | + | 4.59186i | −0.187252 | + | 0.169029i | ||||
\(739\) | 2.54866 | − | 1.05569i | 0.0937540 | − | 0.0388342i | −0.335313 | − | 0.942107i | \(-0.608842\pi\) |
0.429068 | + | 0.903272i | \(0.358842\pi\) | |||||||
\(740\) | −10.1752 | + | 8.28211i | −0.374048 | + | 0.304456i | ||||
\(741\) | −1.18932 | + | 2.87127i | −0.0436908 | + | 0.105479i | ||||
\(742\) | 6.40266 | − | 13.4669i | 0.235049 | − | 0.494386i | ||||
\(743\) | 14.0090 | + | 14.0090i | 0.513942 | + | 0.513942i | 0.915732 | − | 0.401790i | \(-0.131612\pi\) |
−0.401790 | + | 0.915732i | \(0.631612\pi\) | |||||||
\(744\) | 2.08985 | − | 3.43933i | 0.0766175 | − | 0.126092i | ||||
\(745\) | 52.0535 | − | 52.0535i | 1.90709 | − | 1.90709i | ||||
\(746\) | −0.579245 | − | 1.62923i | −0.0212077 | − | 0.0596505i | ||||
\(747\) | −15.4879 | − | 6.41532i | −0.566674 | − | 0.234724i | ||||
\(748\) | 30.2580 | + | 16.3305i | 1.10634 | + | 0.597104i | ||||
\(749\) | 2.81151 | + | 6.78759i | 0.102730 | + | 0.248013i | ||||
\(750\) | 27.9254 | + | 1.42836i | 1.01969 | + | 0.0521563i | ||||
\(751\) | 1.69567i | 0.0618757i | 0.999521 | + | 0.0309379i | \(0.00984940\pi\) | ||||
−0.999521 | + | 0.0309379i | \(0.990151\pi\) | |||||||
\(752\) | 8.58797 | − | 41.4249i | 0.313171 | − | 1.51061i | ||||
\(753\) | − | 3.17568i | − | 0.115728i | ||||||
\(754\) | 1.58280 | − | 30.9448i | 0.0576422 | − | 1.12694i | ||||
\(755\) | 2.37830 | + | 5.74173i | 0.0865553 | + | 0.208963i | ||||
\(756\) | −0.841079 | − | 2.81348i | −0.0305897 | − | 0.102325i | ||||
\(757\) | 21.3707 | + | 8.85204i | 0.776731 | + | 0.321733i | 0.735596 | − | 0.677421i | \(-0.236902\pi\) |
0.0411358 | + | 0.999154i | \(0.486902\pi\) | |||||||
\(758\) | 44.1148 | − | 15.6842i | 1.60232 | − | 0.569676i | ||||
\(759\) | 13.9829 | − | 13.9829i | 0.507548 | − | 0.507548i | ||||
\(760\) | 7.86940 | − | 5.76286i | 0.285453 | − | 0.209041i | ||||
\(761\) | −16.4756 | − | 16.4756i | −0.597239 | − | 0.597239i | 0.342338 | − | 0.939577i | \(-0.388781\pi\) |
−0.939577 | + | 0.342338i | \(0.888781\pi\) | |||||||
\(762\) | −17.1428 | − | 8.15029i | −0.621018 | − | 0.295254i | ||||
\(763\) | −0.199514 | + | 0.481670i | −0.00722290 | + | 0.0174376i | ||||
\(764\) | −2.02321 | + | 19.7258i | −0.0731973 | + | 0.713656i | ||||
\(765\) | −19.0701 | + | 7.89910i | −0.689481 | + | 0.285593i | ||||
\(766\) | −8.54034 | − | 9.46109i | −0.308575 | − | 0.341843i | ||||
\(767\) | −1.69652 | −0.0612576 | ||||||||
\(768\) | −15.9979 | − | 0.258192i | −0.577275 | − | 0.00931670i | ||||
\(769\) | −10.8924 | −0.392791 | −0.196395 | − | 0.980525i | \(-0.562924\pi\) | ||||
−0.196395 | + | 0.980525i | \(0.562924\pi\) | |||||||
\(770\) | −17.4865 | − | 19.3717i | −0.630168 | − | 0.698108i | ||||
\(771\) | −2.37719 | + | 0.984663i | −0.0856123 | + | 0.0354618i | ||||
\(772\) | −2.00968 | + | 19.5939i | −0.0723299 | + | 0.705200i | ||||
\(773\) | 19.5101 | − | 47.1015i | 0.701728 | − | 1.69412i | −0.0179727 | − | 0.999838i | \(-0.505721\pi\) |
0.719701 | − | 0.694284i | \(-0.244279\pi\) | |||||||
\(774\) | −8.99286 | − | 4.27553i | −0.323242 | − | 0.153681i | ||||
\(775\) | 10.1516 | + | 10.1516i | 0.364657 | + | 0.364657i | ||||
\(776\) | 33.1571 | − | 24.2814i | 1.19027 | − | 0.871650i | ||||
\(777\) | −1.75323 | + | 1.75323i | −0.0628968 | + | 0.0628968i | ||||
\(778\) | 0.512450 | − | 0.182192i | 0.0183722 | − | 0.00653191i | ||||
\(779\) | −3.97432 | − | 1.64622i | −0.142395 | − | 0.0589818i | ||||
\(780\) | 7.79021 | + | 26.0589i | 0.278934 | + | 0.933058i | ||||
\(781\) | −5.10498 | − | 12.3245i | −0.182670 | − | 0.441005i | ||||
\(782\) | 2.34621 | − | 45.8700i | 0.0839003 | − | 1.64031i | ||||
\(783\) | 6.25849i | 0.223660i | ||||||||
\(784\) | −3.93347 | + | 18.9735i | −0.140481 | + | 0.677625i | ||||
\(785\) | 7.11388i | 0.253905i | ||||||||
\(786\) | 11.2946 | + | 0.577707i | 0.402864 | + | 0.0206061i | ||||
\(787\) | 10.4222 | + | 25.1613i | 0.371510 | + | 0.896905i | 0.993495 | + | 0.113876i | \(0.0363266\pi\) |
−0.621985 | + | 0.783029i | \(0.713673\pi\) | |||||||
\(788\) | 25.1316 | + | 13.5638i | 0.895277 | + | 0.483190i | ||||
\(789\) | −16.7850 | − | 6.95257i | −0.597561 | − | 0.247518i | ||||
\(790\) | 23.5741 | + | 66.3065i | 0.838729 | + | 2.35908i | ||||
\(791\) | −2.47814 | + | 2.47814i | −0.0881124 | + | 0.0881124i | ||||
\(792\) | −4.75201 | + | 7.82052i | −0.168855 | + | 0.277890i | ||||
\(793\) | −8.48368 | − | 8.48368i | −0.301264 | − | 0.301264i | ||||
\(794\) | −16.9806 | + | 35.7158i | −0.602618 | + | 1.26751i | ||||
\(795\) | 10.6755 | − | 25.7729i | 0.378620 | − | 0.914070i | ||||
\(796\) | 13.4792 | − | 10.9714i | 0.477759 | − | 0.388871i | ||||
\(797\) | 11.4090 | − | 4.72576i | 0.404128 | − | 0.167395i | −0.171355 | − | 0.985209i | \(-0.554814\pi\) |
0.575482 | + | 0.817814i | \(0.304814\pi\) | |||||||
\(798\) | 1.36832 | − | 1.23515i | 0.0484379 | − | 0.0437239i | ||||
\(799\) | −56.1998 | −1.98820 | ||||||||
\(800\) | 14.4263 | − | 55.2238i | 0.510047 | − | 1.95246i | ||||
\(801\) | −1.40214 | −0.0495421 | ||||||||
\(802\) | −41.5031 | + | 37.4640i | −1.46552 | + | 1.32290i | ||||
\(803\) | −4.31454 | + | 1.78714i | −0.152257 | + | 0.0630669i | ||||
\(804\) | 8.32615 | + | 10.2293i | 0.293641 | + | 0.360760i | ||||
\(805\) | −13.3404 | + | 32.2066i | −0.470188 | + | 1.13513i | ||||
\(806\) | −3.02475 | + | 6.36206i | −0.106542 | + | 0.224094i | ||||
\(807\) | −5.88471 | − | 5.88471i | −0.207152 | − | 0.207152i | ||||
\(808\) | −1.30130 | − | 5.33179i | −0.0457797 | − | 0.187572i | ||||
\(809\) | 15.5322 | − | 15.5322i | 0.546082 | − | 0.546082i | −0.379223 | − | 0.925305i | \(-0.623809\pi\) |
0.925305 | + | 0.379223i | \(0.123809\pi\) | |||||||
\(810\) | −1.84030 | − | 5.17620i | −0.0646617 | − | 0.181873i | ||||
\(811\) | −10.1946 | − | 4.22272i | −0.357979 | − | 0.148280i | 0.196443 | − | 0.980515i | \(-0.437061\pi\) |
−0.554423 | + | 0.832235i | \(0.687061\pi\) | |||||||
\(812\) | −8.72870 | + | 16.1730i | −0.306317 | + | 0.567560i | ||||
\(813\) | −11.3882 | − | 27.4936i | −0.399403 | − | 0.964244i | ||||
\(814\) | 7.71663 | + | 0.394699i | 0.270468 | + | 0.0138342i | ||||
\(815\) | 84.8828i | 2.97332i | ||||||||
\(816\) | 3.97825 | + | 20.8791i | 0.139266 | + | 0.730914i | ||||
\(817\) | − | 6.25063i | − | 0.218682i | ||||||
\(818\) | −1.70135 | + | 33.2626i | −0.0594864 | + | 1.16300i | ||||
\(819\) | 1.96703 | + | 4.74883i | 0.0687336 | + | 0.165938i | ||||
\(820\) | −36.0698 | + | 10.7829i | −1.25961 | + | 0.376556i | ||||
\(821\) | −26.9571 | − | 11.1660i | −0.940808 | − | 0.389695i | −0.141039 | − | 0.990004i | \(-0.545044\pi\) |
−0.799768 | + | 0.600309i | \(0.795044\pi\) | |||||||
\(822\) | −20.1263 | + | 7.15554i | −0.701985 | + | 0.249578i | ||||
\(823\) | 14.3701 | − | 14.3701i | 0.500911 | − | 0.500911i | −0.410810 | − | 0.911721i | \(-0.634754\pi\) |
0.911721 | + | 0.410810i | \(0.134754\pi\) | |||||||
\(824\) | −8.36076 | − | 1.29196i | −0.291261 | − | 0.0450075i | ||||
\(825\) | −23.0833 | − | 23.0833i | −0.803658 | − | 0.803658i | ||||
\(826\) | 0.908764 | + | 0.432059i | 0.0316199 | + | 0.0150332i | ||||
\(827\) | −1.27090 | + | 3.06822i | −0.0441935 | + | 0.106693i | −0.944435 | − | 0.328699i | \(-0.893390\pi\) |
0.900241 | + | 0.435391i | \(0.143390\pi\) | |||||||
\(828\) | 12.1603 | + | 1.24724i | 0.422599 | + | 0.0433445i | ||||
\(829\) | 44.8916 | − | 18.5947i | 1.55915 | − | 0.645821i | 0.574207 | − | 0.818710i | \(-0.305310\pi\) |
0.984941 | + | 0.172889i | \(0.0553103\pi\) | |||||||
\(830\) | −61.7095 | − | 68.3626i | −2.14197 | − | 2.37290i | ||||
\(831\) | −14.5247 | −0.503856 | ||||||||
\(832\) | 27.9029 | − | 2.40759i | 0.967360 | − | 0.0834683i | ||||
\(833\) | 25.7407 | 0.891861 | ||||||||
\(834\) | −4.10495 | − | 4.54752i | −0.142143 | − | 0.157468i | ||||
\(835\) | 12.2050 | − | 5.05548i | 0.422372 | − | 0.174952i | ||||
\(836\) | −5.71444 | − | 0.586111i | −0.197638 | − | 0.0202711i | ||||
\(837\) | 0.544508 | − | 1.31456i | 0.0188209 | − | 0.0454378i | ||||
\(838\) | −41.8616 | − | 19.9025i | −1.44609 | − | 0.687521i | ||||
\(839\) | 1.80010 | + | 1.80010i | 0.0621465 | + | 0.0621465i | 0.737497 | − | 0.675350i | \(-0.236008\pi\) |
−0.675350 | + | 0.737497i | \(0.736008\pi\) | |||||||
\(840\) | 2.46358 | − | 15.9428i | 0.0850018 | − | 0.550079i | ||||
\(841\) | 7.19038 | − | 7.19038i | 0.247944 | − | 0.247944i | ||||
\(842\) | 48.8513 | − | 17.3682i | 1.68353 | − | 0.598547i | ||||
\(843\) | −0.560491 | − | 0.232163i | −0.0193043 | − | 0.00799612i | ||||
\(844\) | 20.7344 | − | 6.19848i | 0.713708 | − | 0.213361i | ||||
\(845\) | 1.10634 | + | 2.67093i | 0.0380591 | + | 0.0918829i | ||||
\(846\) | 0.764057 | − | 14.9378i | 0.0262688 | − | 0.513573i | ||||
\(847\) | − | 0.781447i | − | 0.0268508i | ||||||
\(848\) | −23.7547 | − | 16.1511i | −0.815739 | − | 0.554632i | ||||
\(849\) | 26.8592i | 0.921804i | ||||||||
\(850\) | −75.7232 | − | 3.87318i | −2.59728 | − | 0.132849i | ||||
\(851\) | −3.94983 | − | 9.53574i | −0.135398 | − | 0.326881i | ||||
\(852\) | 3.91657 | − | 7.25681i | 0.134179 | − | 0.248614i | ||||
\(853\) | −13.8932 | − | 5.75474i | −0.475693 | − | 0.197039i | 0.131938 | − | 0.991258i | \(-0.457880\pi\) |
−0.607631 | + | 0.794219i | \(0.707880\pi\) | |||||||
\(854\) | 2.38384 | + | 6.70499i | 0.0815732 | + | 0.229440i | ||||
\(855\) | 2.43847 | − | 2.43847i | 0.0833938 | − | 0.0833938i | ||||
\(856\) | 13.7493 | − | 3.35572i | 0.469941 | − | 0.114696i | ||||
\(857\) | −31.5080 | − | 31.5080i | −1.07629 | − | 1.07629i | −0.996838 | − | 0.0794556i | \(-0.974682\pi\) |
−0.0794556 | − | 0.996838i | \(-0.525318\pi\) | |||||||
\(858\) | 6.87784 | − | 14.4664i | 0.234806 | − | 0.493875i | ||||
\(859\) | −7.59894 | + | 18.3455i | −0.259272 | + | 0.625939i | −0.998891 | − | 0.0470875i | \(-0.985006\pi\) |
0.739618 | + | 0.673027i | \(0.235006\pi\) | |||||||
\(860\) | −34.5321 | − | 42.4254i | −1.17753 | − | 1.44669i | ||||
\(861\) | −6.57316 | + | 2.72269i | −0.224013 | + | 0.0927891i | ||||
\(862\) | 11.5732 | − | 10.4469i | 0.394183 | − | 0.355821i | ||||
\(863\) | 1.95965 | 0.0667073 | 0.0333537 | − | 0.999444i | \(-0.489381\pi\) | ||||
0.0333537 | + | 0.999444i | \(0.489381\pi\) | |||||||
\(864\) | −5.60371 | + | 0.773554i | −0.190642 | + | 0.0263168i | ||||
\(865\) | 38.4201 | 1.30632 | ||||||||
\(866\) | 27.3964 | − | 24.7301i | 0.930967 | − | 0.840365i | ||||
\(867\) | 10.3799 | − | 4.29950i | 0.352520 | − | 0.146019i | ||||
\(868\) | 3.24051 | − | 2.63761i | 0.109990 | − | 0.0895262i | ||||
\(869\) | 15.8603 | − | 38.2902i | 0.538025 | − | 1.29891i | ||||
\(870\) | −14.7628 | + | 31.0510i | −0.500504 | + | 1.05273i | ||||
\(871\) | −16.3251 | − | 16.3251i | −0.553154 | − | 0.553154i | ||||
\(872\) | 0.858306 | + | 0.521535i | 0.0290659 | + | 0.0176614i | ||||
\(873\) | 10.2743 | − | 10.2743i | 0.347732 | − | 0.347732i | ||||
\(874\) | 2.57052 | + | 7.23008i | 0.0869493 | + | 0.244561i | ||||
\(875\) | 26.8205 | + | 11.1094i | 0.906700 | + | 0.375567i | ||||
\(876\) | −2.54045 | − | 1.37111i | −0.0858339 | − | 0.0463254i | ||||
\(877\) | −8.40988 | − | 20.3033i | −0.283982 | − | 0.685592i | 0.715939 | − | 0.698162i | \(-0.245999\pi\) |
−0.999921 | + | 0.0125703i | \(0.995999\pi\) | |||||||
\(878\) | 19.7605 | + | 1.01073i | 0.666884 | + | 0.0341105i | ||||
\(879\) | − | 12.9562i | − | 0.437001i | ||||||
\(880\) | −42.0240 | + | 27.5917i | −1.41663 | + | 0.930116i | ||||
\(881\) | 8.86541i | 0.298683i | 0.988786 | + | 0.149342i | \(0.0477154\pi\) | ||||
−0.988786 | + | 0.149342i | \(0.952285\pi\) | |||||||
\(882\) | −0.349954 | + | 6.84184i | −0.0117836 | + | 0.230377i | ||||
\(883\) | −9.81319 | − | 23.6911i | −0.330240 | − | 0.797270i | −0.998573 | − | 0.0534078i | \(-0.982992\pi\) |
0.668333 | − | 0.743863i | \(-0.267008\pi\) | |||||||
\(884\) | −10.6562 | − | 35.6457i | −0.358406 | − | 1.19890i | ||||
\(885\) | 1.73918 | + | 0.720394i | 0.0584621 | + | 0.0242158i | ||||
\(886\) | −25.4157 | + | 9.03611i | −0.853859 | + | 0.303574i | ||||
\(887\) | −40.7094 | + | 40.7094i | −1.36689 | + | 1.36689i | −0.502050 | + | 0.864839i | \(0.667421\pi\) |
−0.864839 | + | 0.502050i | \(0.832579\pi\) | |||||||
\(888\) | 2.82201 | + | 3.85356i | 0.0947005 | + | 0.129317i | ||||
\(889\) | −13.9349 | − | 13.9349i | −0.467362 | − | 0.467362i | ||||
\(890\) | −6.95660 | − | 3.30741i | −0.233186 | − | 0.110865i | ||||
\(891\) | −1.23813 | + | 2.98911i | −0.0414790 | + | 0.100139i | ||||
\(892\) | 2.88135 | − | 28.0925i | 0.0964747 | − | 0.940606i | ||||
\(893\) | 8.67449 | − | 3.59309i | 0.290281 | − | 0.120238i | ||||
\(894\) | −17.9578 | − | 19.8938i | −0.600598 | − | 0.665350i | ||||
\(895\) | 71.6327 | 2.39442 | ||||||||
\(896\) | −15.5598 | − | 5.81649i | −0.519816 | − | 0.194315i | ||||
\(897\) | −21.3972 | −0.714431 | ||||||||
\(898\) | −6.78882 | − | 7.52074i | −0.226546 | − | 0.250970i | ||||
\(899\) | −8.22715 | + | 3.40780i | −0.274391 | + | 0.113656i | ||||
\(900\) | 2.05897 | − | 20.0745i | 0.0686323 | − | 0.669149i | ||||
\(901\) | −14.6029 | + | 35.2545i | −0.486493 | + | 1.17450i | ||||
\(902\) | 20.0239 | + | 9.52006i | 0.666722 | + | 0.316983i | ||||
\(903\) | −7.31006 | − | 7.31006i | −0.243264 | − | 0.243264i | ||||
\(904\) | 3.98882 | + | 5.44689i | 0.132666 | + | 0.181161i | ||||
\(905\) | −51.6983 | + | 51.6983i | −1.71851 | + | 1.71851i | ||||
\(906\) | 2.13183 | − | 0.757933i | 0.0708253 | − | 0.0251806i | ||||
\(907\) | 20.7020 | + | 8.57503i | 0.687397 | + | 0.284729i | 0.698915 | − | 0.715204i | \(-0.253666\pi\) |
−0.0115180 | + | 0.999934i | \(0.503666\pi\) | |||||||
\(908\) | −10.4685 | − | 35.0182i | −0.347411 | − | 1.16212i | ||||
\(909\) | −0.742560 | − | 1.79270i | −0.0246292 | − | 0.0594601i | ||||
\(910\) | −1.44245 | + | 28.2008i | −0.0478167 | + | 0.934849i | ||||
\(911\) | − | 49.0914i | − | 1.62647i | −0.581935 | − | 0.813235i | \(-0.697704\pi\) | ||
0.581935 | − | 0.813235i | \(-0.302296\pi\) | |||||||
\(912\) | −1.94893 | − | 2.96836i | −0.0645357 | − | 0.0982922i | ||||
\(913\) | 54.2382i | 1.79502i | ||||||||
\(914\) | 30.5008 | + | 1.56009i | 1.00888 | + | 0.0516033i | ||||
\(915\) | 5.09462 | + | 12.2995i | 0.168423 | + | 0.406609i | ||||
\(916\) | 18.0292 | + | 9.73054i | 0.595702 | + | 0.321506i | ||||
\(917\) | 10.8477 | + | 4.49327i | 0.358223 | + | 0.148381i | ||||
\(918\) | 2.51734 | + | 7.08048i | 0.0830845 | + | 0.233691i | ||||
\(919\) | 26.2568 | − | 26.2568i | 0.866131 | − | 0.866131i | −0.125910 | − | 0.992042i | \(-0.540185\pi\) |
0.992042 | + | 0.125910i | \(0.0401852\pi\) | |||||||
\(920\) | 57.3902 | + | 34.8722i | 1.89210 | + | 1.14970i | ||||
\(921\) | −15.4749 | − | 15.4749i | −0.509917 | − | 0.509917i | ||||
\(922\) | −8.57238 | + | 18.0306i | −0.282316 | + | 0.593806i | ||||
\(923\) | −5.52379 | + | 13.3356i | −0.181818 | + | 0.438947i | ||||
\(924\) | −7.36844 | + | 5.99754i | −0.242404 | + | 0.197304i | ||||
\(925\) | −15.7418 | + | 6.52047i | −0.517588 | + | 0.214392i | ||||
\(926\) | −14.2151 | + | 12.8316i | −0.467136 | + | 0.421674i | ||||
\(927\) | −2.99106 | −0.0982393 | ||||||||
\(928\) | 28.2221 | + | 21.3755i | 0.926436 | + | 0.701685i | ||||
\(929\) | 9.33360 | 0.306225 | 0.153113 | − | 0.988209i | \(-0.451070\pi\) | ||||
0.153113 | + | 0.988209i | \(0.451070\pi\) | |||||||
\(930\) | 5.80236 | − | 5.23767i | 0.190267 | − | 0.171750i | ||||
\(931\) | −3.97310 | + | 1.64571i | −0.130213 | + | 0.0539360i | ||||
\(932\) | 5.46411 | + | 6.71309i | 0.178983 | + | 0.219895i | ||||
\(933\) | −3.09467 | + | 7.47119i | −0.101315 | + | 0.244596i | ||||
\(934\) | 9.80819 | − | 20.6299i | 0.320934 | − | 0.675031i | ||||
\(935\) | 47.2226 | + | 47.2226i | 1.54434 | + | 1.54434i | ||||
\(936\) | 9.61947 | − | 2.34778i | 0.314422 | − | 0.0767395i | ||||
\(937\) | −26.9828 | + | 26.9828i | −0.881491 | + | 0.881491i | −0.993686 | − | 0.112195i | \(-0.964212\pi\) |
0.112195 | + | 0.993686i | \(0.464212\pi\) | |||||||
\(938\) | 4.58719 | + | 12.9023i | 0.149777 | + | 0.421276i | ||||
\(939\) | −15.1596 | − | 6.27933i | −0.494716 | − | 0.204918i | ||||
\(940\) | 39.0267 | − | 72.3105i | 1.27291 | − | 2.35851i | ||||
\(941\) | 20.9573 | + | 50.5954i | 0.683188 | + | 1.64936i | 0.758073 | + | 0.652169i | \(0.226141\pi\) |
−0.0748852 | + | 0.997192i | \(0.523859\pi\) | |||||||
\(942\) | 2.58649 | + | 0.132297i | 0.0842725 | + | 0.00431047i | ||||
\(943\) | − | 29.6172i | − | 0.964469i | ||||||
\(944\) | 1.08990 | − | 1.60299i | 0.0354731 | − | 0.0521730i | ||||
\(945\) | − | 5.70353i | − | 0.185536i | ||||||
\(946\) | −1.64569 | + | 32.1744i | −0.0535060 | + | 1.04608i | ||||
\(947\) | 7.14980 | + | 17.2611i | 0.232337 | + | 0.560912i | 0.996451 | − | 0.0841692i | \(-0.0268236\pi\) |
−0.764114 | + | 0.645081i | \(0.776824\pi\) | |||||||
\(948\) | 24.5464 | − | 7.33806i | 0.797230 | − | 0.238329i | ||||
\(949\) | 4.66851 | + | 1.93376i | 0.151546 | + | 0.0627725i | ||||
\(950\) | 11.9356 | − | 4.24348i | 0.387241 | − | 0.137677i | ||||
\(951\) | 14.9718 | − | 14.9718i | 0.485494 | − | 0.485494i | ||||
\(952\) | −3.36992 | + | 21.8080i | −0.109220 | + | 0.706803i | ||||
\(953\) | −18.0649 | − | 18.0649i | −0.585181 | − | 0.585181i | 0.351142 | − | 0.936322i | \(-0.385794\pi\) |
−0.936322 | + | 0.351142i | \(0.885794\pi\) | |||||||
\(954\) | −9.17207 | − | 4.36073i | −0.296957 | − | 0.141184i | ||||
\(955\) | −14.7388 | + | 35.5825i | −0.476935 | + | 1.15142i | ||||
\(956\) | −0.418455 | − | 0.0429195i | −0.0135338 | − | 0.00138812i | ||||
\(957\) | 18.7073 | − | 7.74884i | 0.604723 | − | 0.250484i | ||||
\(958\) | 6.10682 | + | 6.76521i | 0.197302 | + | 0.218574i | ||||
\(959\) | −22.1767 | −0.716122 | ||||||||
\(960\) | −29.6271 | − | 9.38031i | −0.956209 | − | 0.302748i | ||||
\(961\) | −28.9754 | −0.934692 | ||||||||
\(962\) | −5.60214 | − | 6.20612i | −0.180620 | − | 0.200093i | ||||
\(963\) | 4.62290 | − | 1.91487i | 0.148971 | − | 0.0617058i | ||||
\(964\) | 26.0084 | + | 2.66759i | 0.837673 | + | 0.0859173i | ||||
\(965\) | −14.6402 | + | 35.3445i | −0.471283 | + | 1.13778i | ||||
\(966\) | 11.4617 | + | 5.44931i | 0.368775 | + | 0.175329i | ||||
\(967\) | −35.9715 | − | 35.9715i | −1.15677 | − | 1.15677i | −0.985167 | − | 0.171599i | \(-0.945107\pi\) |
−0.171599 | − | 0.985167i | \(-0.554893\pi\) | |||||||
\(968\) | −1.48771 | − | 0.229891i | −0.0478169 | − | 0.00738898i | ||||
\(969\) | −3.33556 | + | 3.33556i | −0.107154 | + | 0.107154i | ||||
\(970\) | 75.2105 | − | 26.7397i | 2.41486 | − | 0.858561i | ||||
\(971\) | −21.1238 | − | 8.74978i | −0.677896 | − | 0.280794i | 0.0170508 | − | 0.999855i | \(-0.494572\pi\) |
−0.694947 | + | 0.719061i | \(0.744572\pi\) | |||||||
\(972\) | −1.91621 | + | 0.572843i | −0.0614624 | + | 0.0183740i | ||||
\(973\) | −2.43398 | − | 5.87616i | −0.0780300 | − | 0.188381i | ||||
\(974\) | 0.452551 | − | 8.84768i | 0.0145007 | − | 0.283498i | ||||
\(975\) | 35.3229i | 1.13124i | ||||||||
\(976\) | 13.4662 | − | 2.56582i | 0.431043 | − | 0.0821298i | ||||
\(977\) | 14.2027i | 0.454386i | 0.973850 | + | 0.227193i | \(0.0729548\pi\) | ||||
−0.973850 | + | 0.227193i | \(0.927045\pi\) | |||||||
\(978\) | 30.8620 | + | 1.57857i | 0.986859 | + | 0.0504770i | ||||
\(979\) | 1.73603 | + | 4.19115i | 0.0554838 | + | 0.133950i | ||||
\(980\) | −17.8750 | + | 33.1197i | −0.570997 | + | 1.05797i | ||||
\(981\) | 0.328056 | + | 0.135885i | 0.0104740 | + | 0.00433849i | ||||
\(982\) | 6.04060 | + | 16.9903i | 0.192763 | + | 0.542183i | ||||
\(983\) | −25.7336 | + | 25.7336i | −0.820775 | + | 0.820775i | −0.986219 | − | 0.165444i | \(-0.947094\pi\) |
0.165444 | + | 0.986219i | \(0.447094\pi\) | |||||||
\(984\) | 3.24971 | + | 13.3149i | 0.103597 | + | 0.424464i | ||||
\(985\) | 39.2220 | + | 39.2220i | 1.24972 | + | 1.24972i | ||||
\(986\) | 20.1939 | − | 42.4744i | 0.643103 | − | 1.35266i | ||||
\(987\) | 5.94265 | − | 14.3468i | 0.189157 | − | 0.456665i | ||||
\(988\) | 3.92378 | + | 4.82066i | 0.124832 | + | 0.153366i | ||||
\(989\) | 39.7591 | − | 16.4688i | 1.26427 | − | 0.523676i | ||||
\(990\) | −13.1937 | + | 11.9097i | −0.419324 | + | 0.378515i | ||||
\(991\) | −13.6553 | −0.433776 | −0.216888 | − | 0.976197i | \(-0.569591\pi\) | ||||
−0.216888 | + | 0.976197i | \(0.569591\pi\) | |||||||
\(992\) | −4.06815 | − | 6.94520i | −0.129164 | − | 0.220510i | ||||
\(993\) | −0.998284 | −0.0316796 | ||||||||
\(994\) | 6.35514 | − | 5.73665i | 0.201573 | − | 0.181956i | ||||
\(995\) | 31.1872 | − | 12.9181i | 0.988700 | − | 0.409533i | ||||
\(996\) | −26.0031 | + | 21.1652i | −0.823941 | + | 0.670646i | ||||
\(997\) | −8.35787 | + | 20.1777i | −0.264696 | + | 0.639033i | −0.999218 | − | 0.0395523i | \(-0.987407\pi\) |
0.734521 | + | 0.678586i | \(0.237407\pi\) | |||||||
\(998\) | 3.54928 | − | 7.46531i | 0.112350 | − | 0.236310i | ||||
\(999\) | 1.19409 | + | 1.19409i | 0.0377794 | + | 0.0377794i |
(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 | 96.2.n.a.85.3 | yes | 32 | |
3.2 | odd | 2 | 288.2.v.d.181.6 | 32 | |||
4.3 | odd | 2 | 384.2.n.a.49.5 | 32 | |||
8.3 | odd | 2 | 768.2.n.b.97.4 | 32 | |||
8.5 | even | 2 | 768.2.n.a.97.8 | 32 | |||
12.11 | even | 2 | 1152.2.v.c.433.8 | 32 | |||
32.3 | odd | 8 | 384.2.n.a.337.5 | 32 | |||
32.13 | even | 8 | 768.2.n.a.673.8 | 32 | |||
32.19 | odd | 8 | 768.2.n.b.673.4 | 32 | |||
32.29 | even | 8 | inner | 96.2.n.a.61.3 | ✓ | 32 | |
96.29 | odd | 8 | 288.2.v.d.253.6 | 32 | |||
96.35 | even | 8 | 1152.2.v.c.721.8 | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.2.n.a.61.3 | ✓ | 32 | 32.29 | even | 8 | inner | |
96.2.n.a.85.3 | yes | 32 | 1.1 | even | 1 | trivial | |
288.2.v.d.181.6 | 32 | 3.2 | odd | 2 | |||
288.2.v.d.253.6 | 32 | 96.29 | odd | 8 | |||
384.2.n.a.49.5 | 32 | 4.3 | odd | 2 | |||
384.2.n.a.337.5 | 32 | 32.3 | odd | 8 | |||
768.2.n.a.97.8 | 32 | 8.5 | even | 2 | |||
768.2.n.a.673.8 | 32 | 32.13 | even | 8 | |||
768.2.n.b.97.4 | 32 | 8.3 | odd | 2 | |||
768.2.n.b.673.4 | 32 | 32.19 | odd | 8 | |||
1152.2.v.c.433.8 | 32 | 12.11 | even | 2 | |||
1152.2.v.c.721.8 | 32 | 96.35 | even | 8 |