Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1568,2,Mod(961,1568)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1568, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1568.961");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1568 = 2^{5} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1568.i (of order \(3\), degree \(2\), not 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: | \(12.5205430369\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{5})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{4} - x^{3} + 2x^{2} + x + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{9}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 224) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 961.2 | ||
Root | \(-0.309017 - 0.535233i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1568.961 |
Dual form | 1568.2.i.m.1537.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/1568\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(1471\) | \(1473\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 | 0 | ||||||||
\(3\) | 0.618034 | + | 1.07047i | 0.356822 | + | 0.618034i | 0.987428 | − | 0.158069i | \(-0.0505269\pi\) |
−0.630606 | + | 0.776103i | \(0.717194\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.61803 | + | 2.80252i | −0.723607 | + | 1.25332i | 0.235938 | + | 0.971768i | \(0.424184\pi\) |
−0.959545 | + | 0.281556i | \(0.909150\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.736068 | − | 1.27491i | 0.245356 | − | 0.424969i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.23607 | − | 5.60503i | −0.975711 | − | 1.68998i | −0.677568 | − | 0.735460i | \(-0.736966\pi\) |
−0.298143 | − | 0.954521i | \(-0.596367\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.763932 | 0.211877 | 0.105938 | − | 0.994373i | \(-0.466215\pi\) | ||||
0.105938 | + | 0.994373i | \(0.466215\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −4.00000 | −1.03280 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −2.23607 | − | 3.87298i | −0.542326 | − | 0.939336i | −0.998770 | − | 0.0495842i | \(-0.984210\pi\) |
0.456444 | − | 0.889752i | \(-0.349123\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.618034 | + | 1.07047i | −0.141787 | + | 0.245582i | −0.928170 | − | 0.372158i | \(-0.878618\pi\) |
0.786383 | + | 0.617740i | \(0.211951\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.00000 | − | 3.46410i | 0.417029 | − | 0.722315i | −0.578610 | − | 0.815604i | \(-0.696405\pi\) |
0.995639 | + | 0.0932891i | \(0.0297381\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.73607 | − | 4.73901i | −0.547214 | − | 0.947802i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.52786 | 1.06384 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −4.47214 | −0.830455 | −0.415227 | − | 0.909718i | \(-0.636298\pi\) | ||||
−0.415227 | + | 0.909718i | \(0.636298\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −1.23607 | − | 2.14093i | −0.222004 | − | 0.384523i | 0.733412 | − | 0.679784i | \(-0.237927\pi\) |
−0.955417 | + | 0.295261i | \(0.904593\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 4.00000 | − | 6.92820i | 0.696311 | − | 1.20605i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.23607 | − | 3.87298i | 0.367607 | − | 0.636715i | −0.621584 | − | 0.783348i | \(-0.713510\pi\) |
0.989191 | + | 0.146633i | \(0.0468437\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0.472136 | + | 0.817763i | 0.0756023 | + | 0.130947i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −8.47214 | −1.32313 | −0.661563 | − | 0.749890i | \(-0.730106\pi\) | ||||
−0.661563 | + | 0.749890i | \(0.730106\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.47214 | −0.986991 | −0.493496 | − | 0.869748i | \(-0.664281\pi\) | ||||
−0.493496 | + | 0.869748i | \(0.664281\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 2.38197 | + | 4.12569i | 0.355083 | + | 0.615021i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 5.23607 | − | 9.06914i | 0.763759 | − | 1.32287i | −0.177141 | − | 0.984185i | \(-0.556685\pi\) |
0.940900 | − | 0.338684i | \(-0.109982\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.76393 | − | 4.78727i | 0.387028 | − | 0.670352i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.00000 | + | 8.66025i | 0.686803 | + | 1.18958i | 0.972867 | + | 0.231367i | \(0.0743197\pi\) |
−0.286064 | + | 0.958211i | \(0.592347\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 20.9443 | 2.82413 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.52786 | −0.202371 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −4.61803 | − | 7.99867i | −0.601217 | − | 1.04134i | −0.992637 | − | 0.121126i | \(-0.961349\pi\) |
0.391420 | − | 0.920212i | \(-0.371984\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −5.61803 | + | 9.73072i | −0.719316 | + | 1.24589i | 0.241956 | + | 0.970287i | \(0.422211\pi\) |
−0.961271 | + | 0.275604i | \(0.911122\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −1.23607 | + | 2.14093i | −0.153315 | + | 0.265550i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 2.00000 | + | 3.46410i | 0.244339 | + | 0.423207i | 0.961946 | − | 0.273241i | \(-0.0880957\pi\) |
−0.717607 | + | 0.696449i | \(0.754762\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 4.94427 | 0.595220 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 4.94427 | 0.586777 | 0.293389 | − | 0.955993i | \(-0.405217\pi\) | ||||
0.293389 | + | 0.955993i | \(0.405217\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.47214 | + | 2.54981i | 0.172300 | + | 0.298433i | 0.939224 | − | 0.343306i | \(-0.111547\pi\) |
−0.766923 | + | 0.641739i | \(0.778213\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 3.38197 | − | 5.85774i | 0.390516 | − | 0.676393i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 6.47214 | − | 11.2101i | 0.728172 | − | 1.26123i | −0.229483 | − | 0.973313i | \(-0.573703\pi\) |
0.957655 | − | 0.287918i | \(-0.0929632\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.20820 | + | 2.09267i | 0.134245 | + | 0.232519i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 9.23607 | 1.01379 | 0.506895 | − | 0.862008i | \(-0.330793\pi\) | ||||
0.506895 | + | 0.862008i | \(0.330793\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 14.4721 | 1.56972 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −2.76393 | − | 4.78727i | −0.296325 | − | 0.513249i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 3.00000 | − | 5.19615i | 0.317999 | − | 0.550791i | −0.662071 | − | 0.749441i | \(-0.730322\pi\) |
0.980071 | + | 0.198650i | \(0.0636557\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1.52786 | − | 2.64634i | 0.158432 | − | 0.274412i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −2.00000 | − | 3.46410i | −0.205196 | − | 0.355409i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 12.4721 | 1.26635 | 0.633177 | − | 0.774007i | \(-0.281751\pi\) | ||||
0.633177 | + | 0.774007i | \(0.281751\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −9.52786 | −0.957586 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 0.854102 | + | 1.47935i | 0.0849863 | + | 0.147201i | 0.905385 | − | 0.424591i | \(-0.139582\pi\) |
−0.820399 | + | 0.571791i | \(0.806249\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.76393 | + | 4.78727i | −0.272338 | + | 0.471704i | −0.969460 | − | 0.245249i | \(-0.921130\pi\) |
0.697122 | + | 0.716953i | \(0.254464\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 4.47214 | − | 7.74597i | 0.432338 | − | 0.748831i | −0.564736 | − | 0.825271i | \(-0.691022\pi\) |
0.997074 | + | 0.0764405i | \(0.0243555\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.23607 | − | 7.33708i | −0.405742 | − | 0.702765i | 0.588666 | − | 0.808377i | \(-0.299653\pi\) |
−0.994407 | + | 0.105611i | \(0.966320\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.52786 | 0.524682 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −12.4721 | −1.17328 | −0.586640 | − | 0.809848i | \(-0.699550\pi\) | ||||
−0.586640 | + | 0.809848i | \(0.699550\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 6.47214 | + | 11.2101i | 0.603530 | + | 1.04534i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.562306 | − | 0.973942i | 0.0519852 | − | 0.0900410i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −15.4443 | + | 26.7503i | −1.40402 | + | 2.43184i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −5.23607 | − | 9.06914i | −0.472120 | − | 0.817736i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.52786 | 0.136656 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −8.94427 | −0.793676 | −0.396838 | − | 0.917889i | \(-0.629892\pi\) | ||||
−0.396838 | + | 0.917889i | \(0.629892\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −4.00000 | − | 6.92820i | −0.352180 | − | 0.609994i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 5.85410 | − | 10.1396i | 0.511475 | − | 0.885901i | −0.488436 | − | 0.872600i | \(-0.662433\pi\) |
0.999912 | − | 0.0133016i | \(-0.00423415\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −8.94427 | + | 15.4919i | −0.769800 | + | 1.33333i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −7.47214 | − | 12.9421i | −0.638388 | − | 1.10572i | −0.985787 | − | 0.168002i | \(-0.946268\pi\) |
0.347399 | − | 0.937717i | \(-0.387065\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.23607 | −0.104842 | −0.0524210 | − | 0.998625i | \(-0.516694\pi\) | ||||
−0.0524210 | + | 0.998625i | \(0.516694\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 12.9443 | 1.09010 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −2.47214 | − | 4.28187i | −0.206730 | − | 0.358068i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 7.23607 | − | 12.5332i | 0.600923 | − | 1.04083i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −1.47214 | + | 2.54981i | −0.120602 | + | 0.208889i | −0.920005 | − | 0.391906i | \(-0.871816\pi\) |
0.799403 | + | 0.600795i | \(0.205149\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.47214 | − | 7.74597i | −0.363937 | − | 0.630358i | 0.624668 | − | 0.780891i | \(-0.285234\pi\) |
−0.988605 | + | 0.150533i | \(0.951901\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −6.58359 | −0.532252 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 8.00000 | 0.642575 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.381966 | − | 0.661585i | −0.0304842 | − | 0.0528002i | 0.850381 | − | 0.526168i | \(-0.176372\pi\) |
−0.880865 | + | 0.473368i | \(0.843038\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −6.18034 | + | 10.7047i | −0.490133 | + | 0.848935i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.70820 | + | 2.95870i | −0.133797 | + | 0.231743i | −0.925137 | − | 0.379633i | \(-0.876050\pi\) |
0.791340 | + | 0.611376i | \(0.209384\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 12.9443 | + | 22.4201i | 1.00771 | + | 1.74541i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −23.4164 | −1.81202 | −0.906008 | − | 0.423261i | \(-0.860886\pi\) | ||||
−0.906008 | + | 0.423261i | \(0.860886\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −12.4164 | −0.955108 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0.909830 | + | 1.57587i | 0.0695764 | + | 0.120510i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −2.85410 | + | 4.94345i | −0.216993 | + | 0.375844i | −0.953887 | − | 0.300165i | \(-0.902958\pi\) |
0.736894 | + | 0.676008i | \(0.236292\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 5.70820 | − | 9.88690i | 0.429055 | − | 0.743145i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −3.52786 | − | 6.11044i | −0.263685 | − | 0.456716i | 0.703533 | − | 0.710662i | \(-0.251605\pi\) |
−0.967218 | + | 0.253947i | \(0.918271\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.1803 | −0.905358 | −0.452679 | − | 0.891674i | \(-0.649532\pi\) | ||||
−0.452679 | + | 0.891674i | \(0.649532\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −13.8885 | −1.02667 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 7.23607 | + | 12.5332i | 0.532006 | + | 0.921462i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −14.4721 | + | 25.0665i | −1.05831 | + | 1.83304i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.47214 | − | 4.28187i | 0.178877 | − | 0.309825i | −0.762619 | − | 0.646848i | \(-0.776087\pi\) |
0.941496 | + | 0.337023i | \(0.109420\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.236068 | − | 0.408882i | −0.0169925 | − | 0.0294320i | 0.857404 | − | 0.514644i | \(-0.172076\pi\) |
−0.874397 | + | 0.485212i | \(0.838742\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −3.05573 | −0.218825 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 10.9443 | 0.779747 | 0.389874 | − | 0.920868i | \(-0.372519\pi\) | ||||
0.389874 | + | 0.920868i | \(0.372519\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 7.70820 | + | 13.3510i | 0.546420 | + | 0.946427i | 0.998516 | + | 0.0544581i | \(0.0173431\pi\) |
−0.452096 | + | 0.891969i | \(0.649324\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −2.47214 | + | 4.28187i | −0.174371 | + | 0.302019i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 13.7082 | − | 23.7433i | 0.957422 | − | 1.65830i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −2.94427 | − | 5.09963i | −0.204641 | − | 0.354449i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 8.00000 | 0.553372 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.0000 | 0.826114 | 0.413057 | − | 0.910705i | \(-0.364461\pi\) | ||||
0.413057 | + | 0.910705i | \(0.364461\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3.05573 | + | 5.29268i | 0.209375 | + | 0.362648i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 10.4721 | − | 18.1383i | 0.714194 | − | 1.23702i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −1.81966 | + | 3.15174i | −0.122961 | + | 0.212975i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −1.70820 | − | 2.95870i | −0.114906 | − | 0.199023i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.9443 | −0.866813 | −0.433406 | − | 0.901199i | \(-0.642688\pi\) | ||||
−0.433406 | + | 0.901199i | \(0.642688\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | −8.05573 | −0.537049 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −8.61803 | − | 14.9269i | −0.571999 | − | 0.990731i | −0.996361 | − | 0.0852385i | \(-0.972835\pi\) |
0.424362 | − | 0.905493i | \(-0.360499\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.7984 | + | 20.4354i | −0.779658 | + | 1.35041i | 0.152480 | + | 0.988307i | \(0.451274\pi\) |
−0.932139 | + | 0.362102i | \(0.882059\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 7.94427 | − | 13.7599i | 0.520447 | − | 0.901440i | −0.479271 | − | 0.877667i | \(-0.659099\pi\) |
0.999717 | − | 0.0237728i | \(-0.00756784\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 16.9443 | + | 29.3483i | 1.10532 | + | 1.91447i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 16.0000 | 1.03931 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 13.8885 | 0.898375 | 0.449188 | − | 0.893437i | \(-0.351713\pi\) | ||||
0.449188 | + | 0.893437i | \(0.351713\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −6.23607 | − | 10.8012i | −0.401700 | − | 0.695766i | 0.592231 | − | 0.805768i | \(-0.298247\pi\) |
−0.993931 | + | 0.110003i | \(0.964914\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 6.79837 | − | 11.7751i | 0.436116 | − | 0.755375i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.472136 | + | 0.817763i | −0.0300413 | + | 0.0520330i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.70820 | + | 9.88690i | 0.361743 | + | 0.626557i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −4.29180 | −0.270896 | −0.135448 | − | 0.990784i | \(-0.543247\pi\) | ||||
−0.135448 | + | 0.990784i | \(0.543247\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −25.8885 | −1.62760 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 8.94427 | + | 15.4919i | 0.560112 | + | 0.970143i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 7.00000 | − | 12.1244i | 0.436648 | − | 0.756297i | −0.560781 | − | 0.827964i | \(-0.689499\pi\) |
0.997429 | + | 0.0716680i | \(0.0228322\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.29180 | + | 5.70156i | −0.203757 | + | 0.352918i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 5.52786 | + | 9.57454i | 0.340863 | + | 0.590392i | 0.984593 | − | 0.174861i | \(-0.0559475\pi\) |
−0.643730 | + | 0.765252i | \(0.722614\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −32.3607 | −1.98790 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 7.41641 | 0.453877 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 2.09017 | + | 3.62028i | 0.127440 | + | 0.220732i | 0.922684 | − | 0.385557i | \(-0.125991\pi\) |
−0.795244 | + | 0.606289i | \(0.792657\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −12.0000 | + | 20.7846i | −0.728948 | + | 1.26258i | 0.228380 | + | 0.973572i | \(0.426657\pi\) |
−0.957328 | + | 0.289003i | \(0.906676\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −17.7082 | + | 30.6715i | −1.06784 | + | 1.84956i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.94427 | − | 6.83168i | −0.236988 | − | 0.410476i | 0.722860 | − | 0.690994i | \(-0.242827\pi\) |
−0.959849 | + | 0.280518i | \(0.909494\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −3.63932 | −0.217880 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 26.0000 | 1.55103 | 0.775515 | − | 0.631329i | \(-0.217490\pi\) | ||||
0.775515 | + | 0.631329i | \(0.217490\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −3.09017 | − | 5.35233i | −0.183692 | − | 0.318163i | 0.759443 | − | 0.650574i | \(-0.225471\pi\) |
−0.943135 | + | 0.332410i | \(0.892138\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 2.47214 | − | 4.28187i | 0.146437 | − | 0.253636i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −1.50000 | + | 2.59808i | −0.0882353 | + | 0.152828i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 7.70820 | + | 13.3510i | 0.451863 | + | 0.782650i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −12.7639 | −0.745677 | −0.372838 | − | 0.927896i | \(-0.621615\pi\) | ||||
−0.372838 | + | 0.927896i | \(0.621615\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 29.8885 | 1.74018 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −17.8885 | − | 30.9839i | −1.03800 | − | 1.79787i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 1.52786 | − | 2.64634i | 0.0883587 | − | 0.153042i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −1.05573 | + | 1.82857i | −0.0606500 | + | 0.105049i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −18.1803 | − | 31.4893i | −1.04100 | − | 1.80307i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.81966 | −0.103853 | −0.0519267 | − | 0.998651i | \(-0.516536\pi\) | ||||
−0.0519267 | + | 0.998651i | \(0.516536\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −6.83282 | −0.388705 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 4.00000 | + | 6.92820i | 0.226819 | + | 0.392862i | 0.956864 | − | 0.290537i | \(-0.0938340\pi\) |
−0.730044 | + | 0.683400i | \(0.760501\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 4.23607 | − | 7.33708i | 0.239437 | − | 0.414717i | −0.721116 | − | 0.692814i | \(-0.756371\pi\) |
0.960553 | + | 0.278098i | \(0.0897039\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −4.52786 | + | 7.84249i | −0.254310 | + | 0.440478i | −0.964708 | − | 0.263322i | \(-0.915182\pi\) |
0.710398 | + | 0.703800i | \(0.248515\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 14.4721 | + | 25.0665i | 0.810284 | + | 1.40345i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.0557 | 0.617071 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 5.52786 | 0.307579 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.09017 | − | 3.62028i | −0.115942 | − | 0.200817i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 5.23607 | − | 9.06914i | 0.289555 | − | 0.501524i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 11.2361 | − | 19.4614i | 0.617590 | − | 1.06970i | −0.372334 | − | 0.928099i | \(-0.621442\pi\) |
0.989924 | − | 0.141599i | \(-0.0452243\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −3.29180 | − | 5.70156i | −0.180389 | − | 0.312443i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −12.9443 | −0.707221 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 10.3607 | 0.564382 | 0.282191 | − | 0.959358i | \(-0.408939\pi\) | ||||
0.282191 | + | 0.959358i | \(0.408939\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −7.70820 | − | 13.3510i | −0.418652 | − | 0.725127i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −8.00000 | + | 13.8564i | −0.433224 | + | 0.750366i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −8.00000 | + | 13.8564i | −0.430706 | + | 0.746004i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 3.23607 | + | 5.60503i | 0.173721 | + | 0.300894i | 0.939718 | − | 0.341950i | \(-0.111087\pi\) |
−0.765997 | + | 0.642844i | \(0.777754\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 26.6525 | 1.42667 | 0.713337 | − | 0.700821i | \(-0.247183\pi\) | ||||
0.713337 | + | 0.700821i | \(0.247183\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.22291 | 0.225402 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 7.94427 | + | 13.7599i | 0.422831 | + | 0.732365i | 0.996215 | − | 0.0869220i | \(-0.0277031\pi\) |
−0.573384 | + | 0.819287i | \(0.694370\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.00000 | + | 13.8564i | −0.424596 | + | 0.735422i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −8.47214 | + | 14.6742i | −0.447142 | + | 0.774473i | −0.998199 | − | 0.0599949i | \(-0.980892\pi\) |
0.551056 | + | 0.834468i | \(0.314225\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.73607 | + | 15.1313i | 0.459793 | + | 0.796385i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −38.1803 | −2.00395 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −9.52786 | −0.498711 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.4164 | − | 19.7738i | −0.595932 | − | 1.03218i | −0.993415 | − | 0.114574i | \(-0.963450\pi\) |
0.397483 | − | 0.917610i | \(-0.369884\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −6.23607 | + | 10.8012i | −0.324637 | + | 0.562287i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −1.47214 | + | 2.54981i | −0.0762243 | + | 0.132024i | −0.901618 | − | 0.432533i | \(-0.857620\pi\) |
0.825394 | + | 0.564558i | \(0.190953\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.944272 | + | 1.63553i | 0.0487620 | + | 0.0844582i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −3.41641 | −0.175954 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.58359 | 0.235443 | 0.117722 | − | 0.993047i | \(-0.462441\pi\) | ||||
0.117722 | + | 0.993047i | \(0.462441\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −5.52786 | − | 9.57454i | −0.283201 | − | 0.490519i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −7.70820 | + | 13.3510i | −0.393871 | + | 0.682204i | −0.992956 | − | 0.118481i | \(-0.962198\pi\) |
0.599086 | + | 0.800685i | \(0.295531\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −4.76393 | + | 8.25137i | −0.242164 | + | 0.419441i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 2.23607 | + | 3.87298i | 0.113373 | + | 0.196368i | 0.917128 | − | 0.398592i | \(-0.130501\pi\) |
−0.803755 | + | 0.594960i | \(0.797168\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −17.8885 | −0.904663 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 14.4721 | 0.730023 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 20.9443 | + | 36.2765i | 1.05382 | + | 1.82527i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 7.61803 | − | 13.1948i | 0.382338 | − | 0.662229i | −0.609058 | − | 0.793126i | \(-0.708452\pi\) |
0.991396 | + | 0.130897i | \(0.0417856\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 11.7639 | − | 20.3757i | 0.587463 | − | 1.01752i | −0.407101 | − | 0.913383i | \(-0.633460\pi\) |
0.994563 | − | 0.104132i | \(-0.0332065\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −0.944272 | − | 1.63553i | −0.0470375 | − | 0.0814714i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −7.81966 | −0.388562 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −28.9443 | −1.43471 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 10.7082 | + | 18.5472i | 0.529487 | + | 0.917098i | 0.999408 | + | 0.0343897i | \(0.0109487\pi\) |
−0.469922 | + | 0.882708i | \(0.655718\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 9.23607 | − | 15.9973i | 0.455582 | − | 0.789091i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −14.9443 | + | 25.8842i | −0.733585 | + | 1.27061i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −0.763932 | − | 1.32317i | −0.0374099 | − | 0.0647959i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −22.1803 | −1.08358 | −0.541790 | − | 0.840514i | \(-0.682253\pi\) | ||||
−0.541790 | + | 0.840514i | \(0.682253\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −2.00000 | −0.0974740 | −0.0487370 | − | 0.998812i | \(-0.515520\pi\) | ||||
−0.0487370 | + | 0.998812i | \(0.515520\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −7.70820 | − | 13.3510i | −0.374786 | − | 0.649148i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −12.2361 | + | 21.1935i | −0.593536 | + | 1.02804i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 3.05573 | − | 5.29268i | 0.147532 | − | 0.255533i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −14.0000 | − | 24.2487i | −0.674356 | − | 1.16802i | −0.976657 | − | 0.214807i | \(-0.931088\pi\) |
0.302300 | − | 0.953213i | \(-0.402245\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 9.41641 | 0.452524 | 0.226262 | − | 0.974067i | \(-0.427349\pi\) | ||||
0.226262 | + | 0.974067i | \(0.427349\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 17.8885 | 0.857690 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.47214 | + | 4.28187i | 0.118258 | + | 0.204829i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −16.0000 | + | 27.7128i | −0.763638 | + | 1.32266i | 0.177325 | + | 0.984152i | \(0.443256\pi\) |
−0.940963 | + | 0.338508i | \(0.890078\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −6.94427 | + | 12.0278i | −0.329932 | + | 0.571460i | −0.982498 | − | 0.186273i | \(-0.940359\pi\) |
0.652566 | + | 0.757732i | \(0.273693\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 9.70820 | + | 16.8151i | 0.460213 | + | 0.797112i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −3.63932 | −0.172134 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −7.88854 | −0.372283 | −0.186142 | − | 0.982523i | \(-0.559598\pi\) | ||||
−0.186142 | + | 0.982523i | \(0.559598\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 27.4164 | + | 47.4866i | 1.29099 | + | 2.23606i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 5.52786 | − | 9.57454i | 0.259722 | − | 0.449851i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.76393 | − | 6.51932i | 0.176069 | − | 0.304961i | −0.764462 | − | 0.644669i | \(-0.776995\pi\) |
0.940531 | + | 0.339708i | \(0.110328\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −12.3607 | − | 21.4093i | −0.576947 | − | 0.999302i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 21.7082 | 1.01105 | 0.505526 | − | 0.862811i | \(-0.331298\pi\) | ||||
0.505526 | + | 0.862811i | \(0.331298\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 35.7771 | 1.66270 | 0.831351 | − | 0.555748i | \(-0.187568\pi\) | ||||
0.831351 | + | 0.555748i | \(0.187568\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 4.94427 | + | 8.56373i | 0.229285 | + | 0.397133i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −16.0344 | + | 27.7725i | −0.741985 | + | 1.28516i | 0.209605 | + | 0.977786i | \(0.432782\pi\) |
−0.951590 | + | 0.307370i | \(0.900551\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0.472136 | − | 0.817763i | 0.0217549 | − | 0.0376806i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 20.9443 | + | 36.2765i | 0.963019 | + | 1.66800i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 6.76393 | 0.310350 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 14.7214 | 0.674045 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −4.29180 | − | 7.43361i | −0.196097 | − | 0.339650i | 0.751162 | − | 0.660117i | \(-0.229493\pi\) |
−0.947260 | + | 0.320467i | \(0.896160\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.70820 | − | 2.95870i | 0.0778874 | − | 0.134905i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −20.1803 | + | 34.9534i | −0.916342 | + | 1.58715i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 10.0000 | + | 17.3205i | 0.453143 | + | 0.784867i | 0.998579 | − | 0.0532853i | \(-0.0169693\pi\) |
−0.545436 | + | 0.838152i | \(0.683636\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4.22291 | −0.190967 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −37.8885 | −1.70989 | −0.854943 | − | 0.518722i | \(-0.826408\pi\) | ||||
−0.854943 | + | 0.518722i | \(0.826408\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 10.0000 | + | 17.3205i | 0.450377 | + | 0.780076i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 15.4164 | − | 26.7020i | 0.692916 | − | 1.20017i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 10.9443 | − | 18.9560i | 0.489933 | − | 0.848589i | −0.510000 | − | 0.860174i | \(-0.670355\pi\) |
0.999933 | + | 0.0115857i | \(0.00368794\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −14.4721 | − | 25.0665i | −0.646567 | − | 1.11989i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 4.94427 | 0.220454 | 0.110227 | − | 0.993906i | \(-0.464842\pi\) | ||||
0.110227 | + | 0.993906i | \(0.464842\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.52786 | −0.245987 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −7.67376 | − | 13.2913i | −0.340804 | − | 0.590289i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 20.5623 | − | 35.6150i | 0.911408 | − | 1.57861i | 0.0993316 | − | 0.995054i | \(-0.468330\pi\) |
0.812077 | − | 0.583551i | \(-0.198337\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −3.41641 | + | 5.91739i | −0.150838 | + | 0.261259i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −8.94427 | − | 15.4919i | −0.394132 | − | 0.682656i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −67.7771 | −2.98083 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −7.05573 | −0.309712 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 3.29180 | + | 5.70156i | 0.144216 | + | 0.249790i | 0.929080 | − | 0.369878i | \(-0.120601\pi\) |
−0.784864 | + | 0.619668i | \(0.787267\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −2.14590 | + | 3.71680i | −0.0938336 | + | 0.162525i | −0.909121 | − | 0.416532i | \(-0.863245\pi\) |
0.815288 | + | 0.579056i | \(0.196579\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.52786 | + | 9.57454i | −0.240798 | + | 0.417074i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 3.50000 | + | 6.06218i | 0.152174 | + | 0.263573i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −13.5967 | −0.590049 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −6.47214 | −0.280339 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.4721 | + | 25.0665i | 0.625685 | + | 1.08372i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 4.36068 | − | 7.55292i | 0.188177 | − | 0.325933i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.52786 | − | 4.37839i | 0.108681 | − | 0.188242i | −0.806555 | − | 0.591159i | \(-0.798671\pi\) |
0.915236 | + | 0.402917i | \(0.132004\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −7.52786 | − | 13.0386i | −0.323052 | − | 0.559542i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 27.4164 | 1.17439 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 4.58359 | 0.195980 | 0.0979901 | − | 0.995187i | \(-0.468759\pi\) | ||||
0.0979901 | + | 0.995187i | \(0.468759\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 8.27051 | + | 14.3249i | 0.352977 | + | 0.611374i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.76393 | − | 4.78727i | 0.117747 | − | 0.203945i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −8.94427 | + | 15.4919i | −0.379663 | + | 0.657596i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −4.52786 | − | 7.84249i | −0.191852 | − | 0.332297i | 0.754012 | − | 0.656860i | \(-0.228116\pi\) |
−0.945864 | + | 0.324563i | \(0.894783\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.94427 | −0.209120 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −35.7771 | −1.51051 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −8.90983 | − | 15.4323i | −0.375505 | − | 0.650393i | 0.614898 | − | 0.788607i | \(-0.289197\pi\) |
−0.990402 | + | 0.138214i | \(0.955864\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 20.1803 | − | 34.9534i | 0.848993 | − | 1.47050i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −13.1803 | + | 22.8290i | −0.552549 | + | 0.957042i | 0.445541 | + | 0.895261i | \(0.353011\pi\) |
−0.998090 | + | 0.0617808i | \(0.980322\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.23607 | − | 12.5332i | −0.302820 | − | 0.524500i | 0.673954 | − | 0.738774i | \(-0.264595\pi\) |
−0.976774 | + | 0.214274i | \(0.931261\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.11146 | 0.255310 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −21.8885 | −0.912815 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.00000 | + | 5.19615i | 0.124892 | + | 0.216319i | 0.921691 | − | 0.387926i | \(-0.126808\pi\) |
−0.796799 | + | 0.604245i | \(0.793475\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0.291796 | − | 0.505406i | 0.0121266 | − | 0.0210039i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 32.3607 | − | 56.0503i | 1.34024 | − | 2.32137i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.81966 | + | 3.15174i | 0.0752337 | + | 0.130309i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 3.70820 | 0.153054 | 0.0765270 | − | 0.997068i | \(-0.475617\pi\) | ||||
0.0765270 | + | 0.997068i | \(0.475617\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 3.05573 | 0.125909 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.76393 | + | 11.7155i | 0.278231 | + | 0.481910i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −16.4164 | + | 28.4341i | −0.674141 | + | 1.16765i | 0.302578 | + | 0.953125i | \(0.402153\pi\) |
−0.976719 | + | 0.214522i | \(0.931181\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | −9.52786 | + | 16.5027i | −0.389950 | + | 0.675412i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 8.94427 | + | 15.4919i | 0.365453 | + | 0.632983i | 0.988849 | − | 0.148923i | \(-0.0475807\pi\) |
−0.623396 | + | 0.781907i | \(0.714247\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 29.7771 | 1.21463 | 0.607316 | − | 0.794460i | \(-0.292246\pi\) | ||||
0.607316 | + | 0.794460i | \(0.292246\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 5.88854 | 0.239800 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −49.9787 | − | 86.5657i | −2.03192 | − | 3.51940i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 4.94427 | − | 8.56373i | 0.200682 | − | 0.347591i | −0.748066 | − | 0.663624i | \(-0.769018\pi\) |
0.948748 | + | 0.316033i | \(0.102351\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 4.00000 | − | 6.92820i | 0.161823 | − | 0.280285i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −14.7082 | − | 25.4754i | −0.594059 | − | 1.02894i | −0.993679 | − | 0.112259i | \(-0.964191\pi\) |
0.399620 | − | 0.916681i | \(-0.369142\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 33.8885 | 1.36652 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 34.3607 | 1.38331 | 0.691654 | − | 0.722229i | \(-0.256882\pi\) | ||||
0.691654 | + | 0.722229i | \(0.256882\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −24.0344 | − | 41.6289i | −0.966026 | − | 1.67321i | −0.706833 | − | 0.707380i | \(-0.749877\pi\) |
−0.259192 | − | 0.965826i | \(-0.583456\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 11.0557 | − | 19.1491i | 0.443651 | − | 0.768426i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.2082 | − | 19.4132i | 0.448328 | − | 0.776527i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 4.94427 | + | 8.56373i | 0.197455 | + | 0.342002i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −20.0000 | −0.797452 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 44.9443 | 1.78920 | 0.894602 | − | 0.446865i | \(-0.147459\pi\) | ||||
0.894602 | + | 0.446865i | \(0.147459\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 7.41641 | + | 12.8456i | 0.294776 | + | 0.510567i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 14.4721 | − | 25.0665i | 0.574309 | − | 0.994733i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 3.63932 | − | 6.30349i | 0.143969 | − | 0.249362i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −7.29180 | − | 12.6298i | −0.288009 | − | 0.498846i | 0.685326 | − | 0.728237i | \(-0.259660\pi\) |
−0.973334 | + | 0.229391i | \(0.926327\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 43.7082 | 1.72368 | 0.861842 | − | 0.507177i | \(-0.169311\pi\) | ||||
0.861842 | + | 0.507177i | \(0.169311\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 25.8885 | 1.01936 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −10.1803 | − | 17.6329i | −0.400230 | − | 0.693219i | 0.593523 | − | 0.804817i | \(-0.297737\pi\) |
−0.993753 | + | 0.111598i | \(0.964403\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −29.8885 | + | 51.7685i | −1.17323 | + | 2.03209i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 4.70820 | − | 8.15485i | 0.184246 | − | 0.319124i | −0.759076 | − | 0.651002i | \(-0.774349\pi\) |
0.943322 | + | 0.331878i | \(0.107682\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 18.9443 | + | 32.8124i | 0.740214 | + | 1.28209i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.33437 | 0.169100 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −37.3050 | −1.45319 | −0.726597 | − | 0.687064i | \(-0.758899\pi\) | ||||
−0.726597 | + | 0.687064i | \(0.758899\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 11.3262 | + | 19.6176i | 0.440540 | + | 0.763037i | 0.997730 | − | 0.0673481i | \(-0.0214538\pi\) |
−0.557190 | + | 0.830385i | \(0.688120\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 2.11146 | − | 3.65715i | 0.0820022 | − | 0.142032i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −8.94427 | + | 15.4919i | −0.346324 | + | 0.599850i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −8.00000 | − | 13.8564i | −0.309298 | − | 0.535720i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 72.7214 | 2.80738 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.94427 | −0.113493 | −0.0567467 | − | 0.998389i | \(-0.518073\pi\) | ||||
−0.0567467 | + | 0.998389i | \(0.518073\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −15.1246 | − | 26.1966i | −0.582147 | − | 1.00831i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | −9.90983 | + | 17.1643i | −0.380866 | + | 0.659679i | −0.991186 | − | 0.132476i | \(-0.957707\pi\) |
0.610321 | + | 0.792155i | \(0.291041\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 10.6525 | − | 18.4506i | 0.408204 | − | 0.707030i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 11.8885 | + | 20.5916i | 0.454902 | + | 0.787914i | 0.998683 | − | 0.0513135i | \(-0.0163408\pi\) |
−0.543780 | + | 0.839228i | \(0.683007\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 48.3607 | 1.84777 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −29.1672 | −1.11280 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.81966 | + | 6.61585i | 0.145517 | + | 0.252044i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −7.09017 | + | 12.2805i | −0.269723 | + | 0.467174i | −0.968790 | − | 0.247882i | \(-0.920265\pi\) |
0.699067 | + | 0.715056i | \(0.253599\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 2.00000 | − | 3.46410i | 0.0758643 | − | 0.131401i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 18.9443 | + | 32.8124i | 0.717565 | + | 1.24286i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 19.6393 | 0.742827 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −41.4164 | −1.56428 | −0.782138 | − | 0.623105i | \(-0.785871\pi\) | ||||
−0.782138 | + | 0.623105i | \(0.785871\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.76393 | + | 4.78727i | 0.104244 | + | 0.180555i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −20.9443 | + | 36.2765i | −0.788807 | + | 1.36625i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −0.819660 | + | 1.41969i | −0.0307830 | + | 0.0533177i | −0.881006 | − | 0.473104i | \(-0.843133\pi\) |
0.850223 | + | 0.526422i | \(0.176467\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.52786 | − | 16.5027i | −0.357323 | − | 0.618901i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −9.88854 | −0.370329 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.0000 | 0.598366 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 8.58359 | + | 14.8672i | 0.320560 | + | 0.555226i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 25.5967 | − | 44.3349i | 0.954598 | − | 1.65341i | 0.219311 | − | 0.975655i | \(-0.429619\pi\) |
0.735286 | − | 0.677757i | \(-0.237048\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 7.70820 | − | 13.3510i | 0.286671 | − | 0.496529i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 12.2361 | + | 21.1935i | 0.454436 | + | 0.787107i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −12.3607 | −0.458432 | −0.229216 | − | 0.973376i | \(-0.573616\pi\) | ||||
−0.229216 | + | 0.973376i | \(0.573616\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 24.0557 | 0.890953 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 14.4721 | + | 25.0665i | 0.535271 | + | 0.927117i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 2.38197 | − | 4.12569i | 0.0879799 | − | 0.152386i | −0.818677 | − | 0.574254i | \(-0.805292\pi\) |
0.906657 | + | 0.421868i | \(0.138626\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 12.9443 | − | 22.4201i | 0.476808 | − | 0.825856i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −1.70820 | − | 2.95870i | −0.0628373 | − | 0.108837i | 0.832895 | − | 0.553431i | \(-0.186682\pi\) |
−0.895733 | + | 0.444593i | \(0.853348\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −1.16718 | −0.0428776 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −24.9443 | −0.915117 | −0.457558 | − | 0.889180i | \(-0.651276\pi\) | ||||
−0.457558 | + | 0.889180i | \(0.651276\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −4.76393 | − | 8.25137i | −0.174537 | − | 0.302307i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 6.79837 | − | 11.7751i | 0.248739 | − | 0.430829i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 18.0000 | − | 31.1769i | 0.656829 | − | 1.13766i | −0.324603 | − | 0.945851i | \(-0.605231\pi\) |
0.981432 | − | 0.191811i | \(-0.0614361\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | −2.65248 | − | 4.59422i | −0.0966616 | − | 0.167423i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 28.9443 | 1.05339 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 39.3050 | 1.42856 | 0.714281 | − | 0.699859i | \(-0.246754\pi\) | ||||
0.714281 | + | 0.699859i | \(0.246754\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −16.0000 | − | 27.7128i | −0.580763 | − | 1.00591i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.76393 | − | 3.05522i | 0.0639425 | − | 0.110752i | −0.832282 | − | 0.554353i | \(-0.812966\pi\) |
0.896224 | + | 0.443601i | \(0.146299\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 10.6525 | − | 18.4506i | 0.385141 | − | 0.667084i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −3.52786 | − | 6.11044i | −0.127384 | − | 0.220635i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −18.3607 | −0.662103 | −0.331052 | − | 0.943613i | \(-0.607403\pi\) | ||||
−0.331052 | + | 0.943613i | \(0.607403\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 17.3050 | 0.623223 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −20.0902 | − | 34.7972i | −0.722593 | − | 1.25157i | −0.959957 | − | 0.280147i | \(-0.909617\pi\) |
0.237364 | − | 0.971421i | \(-0.423717\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.76393 | + | 11.7155i | −0.242968 | + | 0.420832i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 5.23607 | − | 9.06914i | 0.187602 | − | 0.324936i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −16.0000 | − | 27.7128i | −0.572525 | − | 0.991642i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | −24.7214 | −0.883469 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 2.47214 | 0.0882343 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −6.14590 | − | 10.6450i | −0.219078 | − | 0.379454i | 0.735449 | − | 0.677580i | \(-0.236971\pi\) |
−0.954526 | + | 0.298127i | \(0.903638\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −6.83282 | + | 11.8348i | −0.243255 | + | 0.421329i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −4.29180 | + | 7.43361i | −0.152406 | + | 0.263975i |