Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1520,2,Mod(881,1520)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1520, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("1520.881");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1520 = 2^{4} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 1520.q (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: | \(12.1372611072\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | 8.0.4601315889.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - x^{7} + 6x^{6} - 3x^{5} + 26x^{4} - 14x^{3} + 31x^{2} + 12x + 9 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 95) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 961.3 | ||
Root | \(-0.245959 + 0.426014i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1520.961 |
Dual form | 1520.2.q.o.881.3 |
$q$-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 \(\left(\mathbb{Z}/1520\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(401\) | \(1141\) | \(1217\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
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 | 0 | ||||||||
\(3\) | 0.745959 | − | 1.29204i | 0.430680 | − | 0.745959i | −0.566252 | − | 0.824232i | \(-0.691607\pi\) |
0.996932 | + | 0.0782728i | \(0.0249405\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.84864 | 1.07668 | 0.538342 | − | 0.842727i | \(-0.319051\pi\) | ||||
0.538342 | + | 0.842727i | \(0.319051\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.387090 | + | 0.670459i | 0.129030 | + | 0.223486i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.864801 | 0.260747 | 0.130374 | − | 0.991465i | \(-0.458382\pi\) | ||||
0.130374 | + | 0.991465i | \(0.458382\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.321640 | − | 0.557098i | −0.0892070 | − | 0.154511i | 0.817969 | − | 0.575262i | \(-0.195100\pi\) |
−0.907176 | + | 0.420751i | \(0.861767\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.745959 | + | 1.29204i | 0.192606 | + | 0.333603i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.87093 | + | 3.24054i | −0.453766 | + | 0.785946i | −0.998616 | − | 0.0525872i | \(-0.983253\pi\) |
0.544850 | + | 0.838534i | \(0.316587\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.36069 | − | 2.77592i | 0.770996 | − | 0.636840i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 2.12497 | − | 3.68055i | 0.463706 | − | 0.803162i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 0.208730 | + | 0.361531i | 0.0435233 | + | 0.0753845i | 0.886966 | − | 0.461834i | \(-0.152808\pi\) |
−0.843443 | + | 0.537218i | \(0.819475\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 5.63077 | 1.08364 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 4.85261 | + | 8.40497i | 0.901108 | + | 1.56076i | 0.826059 | + | 0.563584i | \(0.190578\pi\) |
0.0750490 | + | 0.997180i | \(0.476089\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4.93349 | −0.886081 | −0.443041 | − | 0.896501i | \(-0.646100\pi\) | ||||
−0.443041 | + | 0.896501i | \(0.646100\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0.645106 | − | 1.11736i | 0.112299 | − | 0.194507i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.42432 | + | 2.46699i | −0.240754 | + | 0.416998i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 6.36467 | 1.04635 | 0.523173 | − | 0.852227i | \(-0.324748\pi\) | ||||
0.523173 | + | 0.852227i | \(0.324748\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −0.959723 | −0.153679 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.00686 | − | 3.47598i | 0.313419 | − | 0.542857i | −0.665681 | − | 0.746236i | \(-0.731859\pi\) |
0.979100 | + | 0.203379i | \(0.0651924\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.02915 | + | 1.78254i | −0.156944 | + | 0.271834i | −0.933765 | − | 0.357887i | \(-0.883497\pi\) |
0.776821 | + | 0.629721i | \(0.216831\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.774179 | −0.115408 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.97698 | − | 3.42423i | −0.288372 | − | 0.499475i | 0.685049 | − | 0.728497i | \(-0.259781\pi\) |
−0.973421 | + | 0.229022i | \(0.926447\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 1.11474 | 0.159248 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 2.79127 | + | 4.83462i | 0.390856 | + | 0.676982i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 5.49374 | + | 9.51544i | 0.754624 | + | 1.30705i | 0.945561 | + | 0.325444i | \(0.105514\pi\) |
−0.190937 | + | 0.981602i | \(0.561153\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.432400 | + | 0.748939i | −0.0583048 | + | 0.100987i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.07966 | − | 6.41287i | −0.143004 | − | 0.849406i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 1.22980 | − | 2.13007i | 0.160106 | − | 0.277311i | −0.774801 | − | 0.632206i | \(-0.782150\pi\) |
0.934906 | + | 0.354894i | \(0.115483\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.16740 | − | 5.48609i | −0.405543 | − | 0.702422i | 0.588841 | − | 0.808249i | \(-0.299584\pi\) |
−0.994385 | + | 0.105827i | \(0.966251\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 1.10268 | + | 1.90989i | 0.138924 | + | 0.240624i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0.643281 | 0.0797892 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.26610 | − | 2.19295i | −0.154678 | − | 0.267911i | 0.778263 | − | 0.627938i | \(-0.216101\pi\) |
−0.932942 | + | 0.360027i | \(0.882767\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.622817 | 0.0749783 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.891065 | + | 1.54337i | −0.105750 | + | 0.183164i | −0.914044 | − | 0.405614i | \(-0.867058\pi\) |
0.808294 | + | 0.588779i | \(0.200391\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.56545 | − | 6.17554i | 0.417304 | − | 0.722792i | −0.578363 | − | 0.815780i | \(-0.696308\pi\) |
0.995667 | + | 0.0929873i | \(0.0296416\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −1.49192 | −0.172272 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 2.46350 | 0.280742 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 0.912262 | − | 1.58008i | 0.102637 | − | 0.177773i | −0.810133 | − | 0.586246i | \(-0.800605\pi\) |
0.912771 | + | 0.408473i | \(0.133939\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 3.03905 | − | 5.26380i | 0.337673 | − | 0.584866i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 7.43913 | 0.816550 | 0.408275 | − | 0.912859i | \(-0.366130\pi\) | ||||
0.408275 | + | 0.912859i | \(0.366130\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −1.87093 | − | 3.24054i | −0.202930 | − | 0.351486i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 14.4794 | 1.55236 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −2.22294 | − | 3.85024i | −0.235631 | − | 0.408125i | 0.723825 | − | 0.689984i | \(-0.242382\pi\) |
−0.959456 | + | 0.281859i | \(0.909049\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.916237 | − | 1.58697i | −0.0960478 | − | 0.166360i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | −3.68018 | + | 6.37427i | −0.381617 | + | 0.660981i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0.723670 | + | 4.29841i | 0.0742470 | + | 0.441007i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 5.42707 | − | 9.39996i | 0.551036 | − | 0.954422i | −0.447165 | − | 0.894452i | \(-0.647566\pi\) |
0.998200 | − | 0.0599699i | \(-0.0191005\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.334755 | + | 0.579813i | 0.0336442 | + | 0.0582734i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.64799 | + | 4.58645i | 0.263485 | + | 0.456369i | 0.967166 | − | 0.254147i | \(-0.0817948\pi\) |
−0.703681 | + | 0.710516i | \(0.748461\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 0.385134 | 0.0379484 | 0.0189742 | − | 0.999820i | \(-0.493960\pi\) | ||||
0.0189742 | + | 0.999820i | \(0.493960\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 2.12497 | + | 3.68055i | 0.207376 | + | 0.359185i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 6.43336 | 0.621937 | 0.310968 | − | 0.950420i | \(-0.399347\pi\) | ||||
0.310968 | + | 0.950420i | \(0.399347\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.28441 | + | 5.68877i | −0.314590 | + | 0.544885i | −0.979350 | − | 0.202171i | \(-0.935200\pi\) |
0.664761 | + | 0.747056i | \(0.268534\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 4.74778 | − | 8.22340i | 0.450640 | − | 0.780531i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 0.294513 | 0.0277054 | 0.0138527 | − | 0.999904i | \(-0.495590\pi\) | ||||
0.0138527 | + | 0.999904i | \(0.495590\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.417460 | −0.0389284 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0.249007 | − | 0.431294i | 0.0230207 | − | 0.0398731i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −5.32959 | + | 9.23112i | −0.488563 | + | 0.846216i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −10.2521 | −0.932011 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −2.99407 | − | 5.18588i | −0.269966 | − | 0.467595i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.41746 | + | 7.65127i | 0.391986 | + | 0.678940i | 0.992711 | − | 0.120516i | \(-0.0384548\pi\) |
−0.600725 | + | 0.799456i | \(0.705121\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.53540 | + | 2.65940i | 0.135185 | + | 0.234147i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.4564 | − | 18.1110i | 0.913578 | − | 1.58236i | 0.104609 | − | 0.994513i | \(-0.466641\pi\) |
0.808969 | − | 0.587851i | \(-0.200026\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 9.57340 | − | 7.90759i | 0.830119 | − | 0.685675i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −2.81538 | + | 4.87639i | −0.242310 | + | 0.419693i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −2.60739 | − | 4.51613i | −0.222764 | − | 0.385839i | 0.732882 | − | 0.680356i | \(-0.238175\pi\) |
−0.955646 | + | 0.294517i | \(0.904841\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.36192 | − | 9.28711i | −0.454792 | − | 0.787723i | 0.543884 | − | 0.839160i | \(-0.316953\pi\) |
−0.998676 | + | 0.0514375i | \(0.983620\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −5.89898 | −0.496784 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −0.278155 | − | 0.481778i | −0.0232605 | − | 0.0402883i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −9.70523 | −0.805975 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0.831547 | − | 1.44028i | 0.0685848 | − | 0.118792i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 7.45578 | − | 12.9138i | 0.610801 | − | 1.05794i | −0.380304 | − | 0.924861i | \(-0.624181\pi\) |
0.991106 | − | 0.133078i | \(-0.0424860\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −21.4589 | −1.74630 | −0.873152 | − | 0.487448i | \(-0.837928\pi\) | ||||
−0.873152 | + | 0.487448i | \(0.837928\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −2.89687 | −0.234198 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 2.46675 | − | 4.27253i | 0.198134 | − | 0.343178i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.21559 | − | 2.10546i | 0.0970145 | − | 0.168034i | −0.813433 | − | 0.581659i | \(-0.802404\pi\) |
0.910448 | + | 0.413624i | \(0.135737\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 16.3924 | 1.30000 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.594597 | + | 1.02987i | 0.0468608 | + | 0.0811653i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −17.8175 | −1.39558 | −0.697788 | − | 0.716305i | \(-0.745832\pi\) | ||||
−0.697788 | + | 0.716305i | \(0.745832\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0.645106 | + | 1.11736i | 0.0502214 | + | 0.0869861i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −0.202799 | − | 0.351258i | −0.0156931 | − | 0.0271812i | 0.858072 | − | 0.513529i | \(-0.171662\pi\) |
−0.873765 | + | 0.486348i | \(0.838329\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 6.29309 | − | 10.9000i | 0.484084 | − | 0.838458i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3.16203 | + | 1.17868i | 0.241807 | + | 0.0901358i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −9.01051 | + | 15.6067i | −0.685056 | + | 1.18655i | 0.288363 | + | 0.957521i | \(0.406889\pi\) |
−0.973419 | + | 0.229031i | \(0.926444\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −1.42432 | − | 2.46699i | −0.107668 | − | 0.186487i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −1.83476 | − | 3.17789i | −0.137909 | − | 0.238865i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −20.1523 | −1.50625 | −0.753127 | − | 0.657875i | \(-0.771455\pi\) | ||||
−0.753127 | + | 0.657875i | \(0.771455\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 8.55541 | + | 14.8184i | 0.635919 | + | 1.10144i | 0.986320 | + | 0.164844i | \(0.0527120\pi\) |
−0.350401 | + | 0.936600i | \(0.613955\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −9.45099 | −0.698637 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −3.18233 | + | 5.51197i | −0.233970 | + | 0.405248i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −1.61798 | + | 2.80242i | −0.118318 | + | 0.204933i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 16.0400 | 1.16674 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.28080 | −0.382105 | −0.191053 | − | 0.981580i | \(-0.561190\pi\) | ||||
−0.191053 | + | 0.981580i | \(0.561190\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.00182 | + | 15.5916i | −0.647966 | + | 1.12231i | 0.335642 | + | 0.941989i | \(0.391047\pi\) |
−0.983608 | + | 0.180320i | \(0.942287\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0.479861 | − | 0.831144i | 0.0343636 | − | 0.0595195i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | 8.07785 | 0.575523 | 0.287761 | − | 0.957702i | \(-0.407089\pi\) | ||||
0.287761 | + | 0.957702i | \(0.407089\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.701872 | + | 1.21568i | 0.0497544 | + | 0.0861771i | 0.889830 | − | 0.456292i | \(-0.150823\pi\) |
−0.840076 | + | 0.542469i | \(0.817489\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −3.77783 | −0.266468 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 13.8233 | + | 23.9427i | 0.970208 | + | 1.68045i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 2.00686 | + | 3.47598i | 0.140165 | + | 0.242773i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −0.161595 | + | 0.279890i | −0.0112316 | + | 0.0194537i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 2.90633 | − | 2.40062i | 0.201035 | − | 0.166054i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.45817 | − | 16.3820i | 0.651128 | − | 1.12779i | −0.331722 | − | 0.943377i | \(-0.607630\pi\) |
0.982850 | − | 0.184409i | \(-0.0590370\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 1.32940 | + | 2.30258i | 0.0910888 | + | 0.157770i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −1.02915 | − | 1.78254i | −0.0701873 | − | 0.121568i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −14.0537 | −0.954030 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −5.31936 | − | 9.21340i | −0.359449 | − | 0.622584i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.40706 | 0.161917 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −8.07400 | + | 13.9846i | −0.540675 | + | 0.936477i | 0.458190 | + | 0.888854i | \(0.348498\pi\) |
−0.998865 | + | 0.0476227i | \(0.984835\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0.387090 | − | 0.670459i | 0.0258060 | − | 0.0446973i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −26.3186 | −1.74683 | −0.873414 | − | 0.486978i | \(-0.838099\pi\) | ||||
−0.873414 | + | 0.486978i | \(0.838099\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −13.3323 | −0.881026 | −0.440513 | − | 0.897746i | \(-0.645203\pi\) | ||||
−0.440513 | + | 0.897746i | \(0.645203\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.83767 | − | 3.18294i | 0.120910 | − | 0.209422i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −12.6547 | + | 21.9186i | −0.829038 | + | 1.43594i | 0.0697556 | + | 0.997564i | \(0.477778\pi\) |
−0.898794 | + | 0.438372i | \(0.855555\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.95396 | 0.257928 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −1.36102 | − | 2.35736i | −0.0884077 | − | 0.153127i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 23.5500 | 1.52332 | 0.761660 | − | 0.647977i | \(-0.224385\pi\) | ||||
0.761660 | + | 0.647977i | \(0.224385\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −4.19208 | − | 7.26089i | −0.270035 | − | 0.467715i | 0.698835 | − | 0.715283i | \(-0.253702\pi\) |
−0.968871 | + | 0.247568i | \(0.920369\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 3.91213 | + | 6.77601i | 0.250963 | + | 0.434681i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −0.557368 | + | 0.965389i | −0.0356089 | + | 0.0616764i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −2.62739 | − | 0.979387i | −0.167177 | − | 0.0623169i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 5.54929 | − | 9.61165i | 0.351672 | − | 0.609113i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 9.12391 | + | 15.8031i | 0.575896 | + | 0.997481i | 0.995944 | + | 0.0899792i | \(0.0286800\pi\) |
−0.420048 | + | 0.907502i | \(0.637987\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.180510 | + | 0.312652i | 0.0113486 | + | 0.0196563i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.58254 | −0.349592 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −7.04989 | − | 12.2108i | −0.439760 | − | 0.761687i | 0.557911 | − | 0.829901i | \(-0.311603\pi\) |
−0.997671 | + | 0.0682144i | \(0.978270\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 18.1306 | 1.12658 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.75679 | + | 6.50696i | −0.232540 | + | 0.402770i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −3.20536 | + | 5.55184i | −0.197651 | + | 0.342341i | −0.947766 | − | 0.318966i | \(-0.896665\pi\) |
0.750116 | + | 0.661307i | \(0.229998\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −10.9875 | −0.674956 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −6.63288 | −0.405926 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −8.99557 | + | 15.5808i | −0.548469 | + | 0.949977i | 0.449910 | + | 0.893074i | \(0.351456\pi\) |
−0.998380 | + | 0.0569032i | \(0.981877\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.94095 | − | 10.2900i | 0.360887 | − | 0.625075i | −0.627220 | − | 0.778842i | \(-0.715807\pi\) |
0.988107 | + | 0.153767i | \(0.0491406\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | −2.73390 | −0.165463 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.432400 | − | 0.748939i | −0.0260747 | − | 0.0451627i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 23.6240 | 1.41943 | 0.709715 | − | 0.704489i | \(-0.248824\pi\) | ||||
0.709715 | + | 0.704489i | \(0.248824\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −1.90970 | − | 3.30770i | −0.114331 | − | 0.198027i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −6.90465 | − | 11.9592i | −0.411897 | − | 0.713426i | 0.583200 | − | 0.812328i | \(-0.301800\pi\) |
−0.995097 | + | 0.0989020i | \(0.968467\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.87868 | + | 10.1822i | −0.349451 | + | 0.605268i | −0.986152 | − | 0.165843i | \(-0.946965\pi\) |
0.636701 | + | 0.771111i | \(0.280299\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 6.09354 | + | 2.27143i | 0.360950 | + | 0.134548i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 5.71681 | − | 9.90181i | 0.337453 | − | 0.584485i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 1.49927 | + | 2.59681i | 0.0881922 | + | 0.152753i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.09675 | − | 14.0240i | −0.474640 | − | 0.822100i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −27.0576 | −1.58072 | −0.790362 | − | 0.612640i | \(-0.790108\pi\) | ||||
−0.790362 | + | 0.612640i | \(0.790108\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.22980 | + | 2.13007i | 0.0716015 | + | 0.124017i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 4.86949 | 0.282557 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 0.134272 | − | 0.232566i | 0.00776516 | − | 0.0134497i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −2.93167 | + | 5.07780i | −0.168979 | + | 0.292679i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 7.90117 | 0.453910 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 6.33479 | 0.362729 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 4.41912 | − | 7.65414i | 0.252212 | − | 0.436845i | −0.711922 | − | 0.702258i | \(-0.752175\pi\) |
0.964135 | + | 0.265414i | \(0.0855085\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0.287294 | − | 0.497608i | 0.0163436 | − | 0.0283080i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 0.651493 | 0.0369428 | 0.0184714 | − | 0.999829i | \(-0.494120\pi\) | ||||
0.0184714 | + | 0.999829i | \(0.494120\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.48278 | + | 2.56825i | 0.0838116 | + | 0.145166i | 0.904884 | − | 0.425658i | \(-0.139957\pi\) |
−0.821073 | + | 0.570824i | \(0.806624\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.20536 | −0.124258 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.18993 | + | 8.98921i | 0.291495 | + | 0.504885i | 0.974164 | − | 0.225844i | \(-0.0725139\pi\) |
−0.682668 | + | 0.730728i | \(0.739181\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.19654 | + | 7.26862i | 0.234961 | + | 0.406965i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.79903 | − | 8.31216i | 0.267856 | − | 0.463939i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 2.70787 | + | 16.0840i | 0.150670 | + | 0.894938i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −0.321640 | + | 0.557098i | −0.0178414 | + | 0.0309022i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 4.90007 | + | 8.48718i | 0.270975 | + | 0.469342i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −5.63170 | − | 9.75438i | −0.310485 | − | 0.537776i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −15.0922 | −0.829543 | −0.414772 | − | 0.909926i | \(-0.636139\pi\) | ||||
−0.414772 | + | 0.909926i | \(0.636139\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 2.46370 | + | 4.26725i | 0.135010 | + | 0.233844i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 2.53220 | 0.138349 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −7.89872 | + | 13.6810i | −0.430271 | + | 0.745251i | −0.996896 | − | 0.0787246i | \(-0.974915\pi\) |
0.566626 | + | 0.823975i | \(0.308249\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0.219695 | − | 0.380522i | 0.0119322 | − | 0.0206671i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −4.26649 | −0.231043 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −16.7650 | −0.905224 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −0.311408 | + | 0.539375i | −0.0167657 | + | 0.0290390i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −10.6761 | + | 18.4915i | −0.573122 | + | 0.992676i | 0.423121 | + | 0.906073i | \(0.360935\pi\) |
−0.996243 | + | 0.0866031i | \(0.972399\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −32.3897 | −1.73378 | −0.866891 | − | 0.498497i | \(-0.833885\pi\) | ||||
−0.866891 | + | 0.498497i | \(0.833885\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −1.81108 | − | 3.13689i | −0.0966685 | − | 0.167435i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 0.730583 | 0.0388850 | 0.0194425 | − | 0.999811i | \(-0.493811\pi\) | ||||
0.0194425 | + | 0.999811i | \(0.493811\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.891065 | − | 1.54337i | −0.0472928 | − | 0.0819136i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 7.95132 | + | 13.7721i | 0.420828 | + | 0.728896i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −13.4248 | + | 23.2524i | −0.708533 | + | 1.22722i | 0.256868 | + | 0.966447i | \(0.417309\pi\) |
−0.965401 | + | 0.260769i | \(0.916024\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3.58853 | − | 18.6580i | 0.188870 | − | 0.982002i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −7.64766 | + | 13.2461i | −0.401398 | + | 0.695242i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.56545 | + | 6.17554i | 0.186624 | + | 0.323242i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −11.4822 | − | 19.8877i | −0.599364 | − | 1.03813i | −0.992915 | − | 0.118826i | \(-0.962087\pi\) |
0.393551 | − | 0.919303i | \(-0.371246\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 3.10734 | 0.161761 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 15.6497 | + | 27.1060i | 0.812491 | + | 1.40728i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 29.5305 | 1.52903 | 0.764515 | − | 0.644606i | \(-0.222979\pi\) | ||||
0.764515 | + | 0.644606i | \(0.222979\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0.745959 | − | 1.29204i | 0.0385212 | − | 0.0667206i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 3.12159 | − | 5.40676i | 0.160770 | − | 0.278462i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −17.5117 | −0.899517 | −0.449759 | − | 0.893150i | \(-0.648490\pi\) | ||||
−0.449759 | + | 0.893150i | \(0.648490\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 13.1810 | 0.675282 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 4.05326 | − | 7.02045i | 0.207112 | − | 0.358728i | −0.743692 | − | 0.668523i | \(-0.766927\pi\) |
0.950804 | + | 0.309794i | \(0.100260\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.23175 | + | 2.13346i | −0.0627759 | + | 0.108731i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | −1.59349 | −0.0810016 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −8.65392 | − | 14.9890i | −0.438771 | − | 0.759974i | 0.558824 | − | 0.829286i | \(-0.311253\pi\) |
−0.997595 | + | 0.0693125i | \(0.977919\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.56208 | −0.0789976 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | −15.6001 | − | 27.0201i | −0.786920 | − | 1.36298i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.912262 | + | 1.58008i | 0.0459009 | + | 0.0795026i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 5.69472 | − | 9.86354i | 0.285810 | − | 0.495037i | −0.686996 | − | 0.726662i | \(-0.741071\pi\) |
0.972805 | + | 0.231625i | \(0.0744041\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.07555 | − | 18.2679i | −0.153970 | − | 0.914541i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 4.46930 | − | 7.74106i | 0.223186 | − | 0.386570i | −0.732587 | − | 0.680673i | \(-0.761687\pi\) |
0.955774 | + | 0.294103i | \(0.0950208\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.58681 | + | 2.74844i | 0.0790447 | + | 0.136909i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 3.03905 | + | 5.26380i | 0.151012 | + | 0.261560i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.50417 | 0.272832 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.27235 | + | 5.66788i | 0.161808 | + | 0.280259i | 0.935517 | − | 0.353282i | \(-0.114934\pi\) |
−0.773709 | + | 0.633541i | \(0.781601\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −7.78001 | −0.383760 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.50324 | − | 6.06780i | 0.172383 | − | 0.298577i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.71956 | + | 6.44247i | −0.182586 | + | 0.316249i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −15.9991 | −0.783479 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −21.8441 | −1.06715 | −0.533576 | − | 0.845752i | \(-0.679152\pi\) | ||||
−0.533576 | + | 0.845752i | \(0.679152\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 14.6717 | − | 25.4121i | 0.715054 | − | 1.23851i | −0.247885 | − | 0.968789i | \(-0.579736\pi\) |
0.962939 | − | 0.269720i | \(-0.0869311\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 1.53054 | − | 2.65097i | 0.0744172 | − | 0.128894i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.74185 | 0.181507 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −9.02276 | − | 15.6279i | −0.436642 | − | 0.756286i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −0.829969 | −0.0400713 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −6.44336 | − | 11.1602i | −0.310366 | − | 0.537570i | 0.668076 | − | 0.744093i | \(-0.267118\pi\) |
−0.978442 | + | 0.206524i | \(0.933785\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.92144 | + | 11.9883i | 0.332623 | + | 0.576120i | 0.983025 | − | 0.183470i | \(-0.0587330\pi\) |
−0.650402 | + | 0.759590i | \(0.725400\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −7.23970 | + | 12.5395i | −0.347117 | + | 0.601225i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 1.70506 | + | 0.635578i | 0.0815641 | + | 0.0304038i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −0.0354040 | + | 0.0613216i | −0.00168974 | + | 0.00292672i | −0.866869 | − | 0.498536i | \(-0.833871\pi\) |
0.865179 | + | 0.501463i | \(0.167205\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.431503 | + | 0.747384i | 0.0205477 | + | 0.0355897i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.89457 | − | 3.28149i | −0.0900137 | − | 0.155908i | 0.817503 | − | 0.575924i | \(-0.195358\pi\) |
−0.907517 | + | 0.420016i | \(0.862024\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 4.44588 | 0.210755 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −11.1234 | − | 19.2663i | −0.526120 | − | 0.911266i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −26.5765 | −1.25422 | −0.627112 | − | 0.778929i | \(-0.715763\pi\) | ||||
−0.627112 | + | 0.778929i | \(0.715763\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.73553 | − | 3.00603i | 0.0817230 | − | 0.141548i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −16.0075 | + | 27.7258i | −0.752098 | + | 1.30267i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 1.83247 | 0.0859077 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −33.1523 | −1.55080 | −0.775400 | − | 0.631471i | \(-0.782452\pi\) | ||||
−0.775400 | + | 0.631471i | \(0.782452\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −10.5348 | + | 18.2467i | −0.491720 | + | 0.851684i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 9.62679 | − | 16.6741i | 0.448364 | − | 0.776590i | −0.549915 | − | 0.835220i | \(-0.685340\pi\) |
0.998280 | + | 0.0586304i | \(0.0186734\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −39.1713 | −1.82044 | −0.910222 | − | 0.414120i | \(-0.864089\pi\) | ||||
−0.910222 | + | 0.414120i | \(0.864089\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.68018 | − | 6.37427i | −0.170664 | − | 0.295600i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 39.0650 | 1.80771 | 0.903856 | − | 0.427836i | \(-0.140724\pi\) | ||||
0.903856 | + | 0.427836i | \(0.140724\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.60665 | − | 6.24691i | −0.166540 | − | 0.288455i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.81356 | − | 3.14118i | −0.0835644 | − | 0.144738i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | −0.890007 | + | 1.54154i | −0.0409226 | + | 0.0708800i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −4.08436 | − | 1.52249i | −0.187404 | − | 0.0698565i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −4.25314 | + | 7.36666i | −0.194738 | + | 0.337296i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −12.3775 | − | 21.4385i | −0.565543 | − | 0.979550i | −0.996999 | − | 0.0774158i | \(-0.975333\pi\) |
0.431455 | − | 0.902134i | \(-0.358000\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −2.04714 | − | 3.54574i | −0.0933413 | − | 0.161672i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.77418 | 0.0807280 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.42707 | + | 9.39996i | 0.246431 | + | 0.426830i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −21.8871 | −0.991797 | −0.495899 | − | 0.868380i | \(-0.665161\pi\) | ||||
−0.495899 | + | 0.868380i | \(0.665161\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −13.2911 | + | 23.0209i | −0.601046 | + | 1.04104i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 4.69777 | − | 8.13677i | 0.212007 | − | 0.367207i | −0.740335 | − | 0.672238i | \(-0.765333\pi\) |
0.952343 | + | 0.305030i | \(0.0986666\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −36.3155 | −1.63557 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −0.669511 | −0.0300923 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −2.53832 | + | 4.39650i | −0.113859 | + | 0.197210i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 12.4558 | − | 21.5740i | 0.557596 | − | 0.965785i | −0.440100 | − | 0.897949i | \(-0.645057\pi\) |
0.997696 | − | 0.0678367i | \(-0.0216097\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.605119 | −0.0270347 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −15.6590 | − | 27.1222i | −0.698200 | − | 1.20932i | −0.969090 | − | 0.246707i | \(-0.920651\pi\) |
0.270890 | − | 0.962610i | \(-0.412682\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −5.29598 | −0.235668 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | −9.38878 | − | 16.2619i | −0.416971 | − | 0.722214i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 4.83310 | + | 8.37117i | 0.214223 | + | 0.371045i | 0.953032 | − | 0.302870i | \(-0.0979447\pi\) |
−0.738809 | + | 0.673915i | \(0.764611\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.1567 | − | 17.5919i | 0.449305 | − | 0.778219i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 18.9233 | − | 15.6306i | 0.835484 | − | 0.690106i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −0.192567 | + | 0.333536i | −0.00848552 | + | 0.0146973i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −1.70969 | − | 2.96127i | −0.0751922 | − | 0.130237i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 13.4429 | + | 23.2839i | 0.590080 | + | 1.02205i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −0.982633 | −0.0430499 | −0.0215250 | − | 0.999768i | \(-0.506852\pi\) | ||||
−0.0215250 | + | 0.999768i | \(0.506852\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.8604 | + | 34.3993i | 0.868436 | + | 1.50418i | 0.863594 | + | 0.504187i | \(0.168208\pi\) |
0.00484172 | + | 0.999988i | \(0.498459\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −4.24993 | −0.185482 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 9.23020 | − | 15.9872i | 0.402074 | − | 0.696413i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 11.4129 | − | 19.7677i | 0.496211 | − | 0.859463i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 1.90417 | 0.0826337 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −2.58195 | −0.111837 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.21668 | + | 5.57146i | −0.139069 | + | 0.240875i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −15.0328 | + | 26.0376i | −0.648713 | + | 1.12360i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0.964024 | 0.0415234 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −15.3887 | − | 26.6541i | −0.661614 | − | 1.14595i | −0.980191 | − | 0.198052i | \(-0.936538\pi\) |
0.318577 | − | 0.947897i | \(-0.396795\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 25.5280 | 1.09551 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −3.28441 | − | 5.68877i | −0.140689 | − | 0.243680i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −8.93287 | − | 15.4722i | −0.381942 | − | 0.661543i | 0.609398 | − | 0.792865i | \(-0.291411\pi\) |
−0.991340 | + | 0.131322i | \(0.958078\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 2.45213 | − | 4.24722i | 0.104654 | − | 0.181267i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 39.6397 | + | 14.7761i | 1.68871 | + | 0.629482i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.59870 | − | 4.50109i | 0.110508 | − | 0.191406i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 4.74778 | + | 8.22340i | 0.201532 | + | 0.349064i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 5.32878 | + | 9.22971i | 0.225787 | + | 0.391075i | 0.956555 | − | 0.291551i | \(-0.0941712\pi\) |
−0.730768 | + | 0.682626i | \(0.760838\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 1.32406 | 0.0560019 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 2.41389 | + | 4.18098i | 0.101915 | + | 0.176521i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −7.75961 | −0.327029 | −0.163514 | − | 0.986541i | \(-0.552283\pi\) | ||||
−0.163514 | + | 0.986541i | \(0.552283\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.147256 | + | 0.255056i | −0.00619513 | + | 0.0107303i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 8.65716 | − | 14.9946i | 0.363567 | − | 0.629716i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 5.72754 | 0.240111 | 0.120056 | − | 0.992767i | \(-0.461693\pi\) | ||||
0.120056 | + | 0.992767i | \(0.461693\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 20.8347 | 0.871903 | 0.435952 | − | 0.899970i | \(-0.356412\pi\) | ||||
0.435952 | + | 0.899970i | \(0.356412\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | −3.93926 | + | 6.82300i | −0.164565 | + | 0.285035i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0.208730 | − | 0.361531i | 0.00870465 | − | 0.0150769i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −5.11190 | −0.212811 | −0.106406 | − | 0.994323i | \(-0.533934\pi\) | ||||
−0.106406 | + | 0.994323i | \(0.533934\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 13.4300 | + | 23.2614i | 0.558131 | + | 0.966712i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 21.1914 | 0.879167 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 4.75099 | + | 8.22896i | 0.196766 | + | 0.340809i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0.249007 | + | 0.431294i | 0.0102952 | + | 0.0178318i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −5.33462 | + | 9.23984i | −0.220184 | + | 0.381369i | −0.954864 | − | 0.297045i | \(-0.903999\pi\) |
0.734680 | + | 0.678414i | \(0.237332\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −16.5800 | + | 13.6950i | −0.683165 | + | 0.564292i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 6.02574 | − | 10.4369i | 0.247866 | − | 0.429316i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 8.50133 | + | 14.7247i | 0.349108 | + | 0.604673i | 0.986091 | − | 0.166205i | \(-0.0531513\pi\) |
−0.636983 | + | 0.770878i | \(0.719818\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −5.32959 | − | 9.23112i | −0.218492 | − | 0.378439i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 2.09427 | 0.0857128 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 14.3375 | + | 24.8334i | 0.585816 | + | 1.01466i | 0.994773 | + | 0.102110i | \(0.0325592\pi\) |
−0.408957 | + | 0.912554i | \(0.634107\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 27.4370 | 1.11918 | 0.559590 | − | 0.828770i | \(-0.310959\pi\) | ||||
0.559590 | + | 0.828770i | \(0.310959\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0.980187 | − | 1.69773i | 0.0399163 | − | 0.0691371i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 5.12606 | − | 8.87860i | 0.208404 | − | 0.360966i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 17.7547 | 0.720639 | 0.360320 | − | 0.932829i | \(-0.382668\pi\) | ||||
0.360320 | + | 0.932829i | \(0.382668\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 41.2466 | 1.67140 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −1.27175 | + | 2.20274i | −0.0514496 | + | 0.0891133i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −17.3196 | + | 29.9983i | −0.699530 | + | 1.21162i | 0.269099 | + | 0.963112i | \(0.413274\pi\) |
−0.968629 | + | 0.248509i | \(0.920059\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.98814 | 0.241465 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.23284 | − | 3.86740i | −0.0898909 | − | 0.155696i | 0.817574 | − | 0.575824i | \(-0.195319\pi\) |
−0.907465 | + | 0.420128i | \(0.861985\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 17.9112 | 0.719913 | 0.359957 | − | 0.932969i | \(-0.382791\pi\) | ||||
0.359957 | + | 0.932969i | \(0.382791\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.17531 | + | 2.03570i | 0.0471636 | + | 0.0816898i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −6.33234 | − | 10.9679i | −0.253700 | − | 0.439421i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −0.933688 | − | 5.54586i | −0.0372879 | − | 0.221480i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −11.9078 | + | 20.6250i | −0.474796 | + | 0.822371i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 2.48440 | + | 4.30311i | 0.0989026 | + | 0.171304i | 0.911231 | − | 0.411896i | \(-0.135133\pi\) |
−0.812328 | + | 0.583201i | \(0.801800\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −14.1108 | − | 24.4407i | −0.560855 | − | 0.971429i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −8.83492 | −0.350603 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −0.358544 | − | 0.621016i | −0.0142060 | − | 0.0246056i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −1.37969 | −0.0545796 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 18.9760 | − | 32.8675i | 0.749508 | − | 1.29819i | −0.198550 | − | 0.980091i | \(-0.563623\pi\) |
0.948059 | − | 0.318096i | \(-0.103043\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.6251 | − | 30.5276i | 0.695067 | − | 1.20389i | −0.275092 | − | 0.961418i | \(-0.588708\pi\) |
0.970158 | − | 0.242473i | \(-0.0779585\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −3.07081 | −0.120913 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −35.5219 | −1.39651 | −0.698254 | − | 0.715850i | \(-0.746040\pi\) | ||||
−0.698254 | + | 0.715850i | \(0.746040\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 1.06353 | − | 1.84209i | 0.0417471 | − | 0.0723082i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −10.4835 | + | 18.1580i | −0.410881 | + | 0.711667i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 8.02411 | 0.314008 | 0.157004 | − | 0.987598i | \(-0.449816\pi\) | ||||
0.157004 | + | 0.987598i | \(0.449816\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 10.4564 | + | 18.1110i | 0.408565 | + | 0.707655i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 5.52059 | 0.215379 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −23.6098 | − | 40.8933i | −0.919706 | − | 1.59298i | −0.799861 | − | 0.600185i | \(-0.795094\pi\) |
−0.119844 | − | 0.992793i | \(-0.538240\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.0580 | + | 22.6171i | 0.507896 | + | 0.879702i | 0.999958 | + | 0.00914181i | \(0.00290997\pi\) |
−0.492062 | + | 0.870560i | \(0.663757\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.79557 | − | 3.11002i | 0.0697342 | − | 0.120783i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 2.06147 | + | 12.2446i | 0.0799405 | + | 0.474825i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.02577 | + | 3.50874i | −0.0784383 | + | 0.135859i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 12.0458 | + | 20.8639i | 0.465716 | + | 0.806643i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.73917 | − | 4.74437i | −0.105744 | − | 0.183154i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 15.3820 | 0.592931 | 0.296466 | − | 0.955044i | \(-0.404192\pi\) | ||||
0.296466 | + | 0.955044i | \(0.404192\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −2.81538 | − | 4.87639i | −0.108364 | − | 0.187692i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 24.4763 | 0.940701 | 0.470350 | − | 0.882480i | \(-0.344128\pi\) | ||||
0.470350 | + | 0.882480i | \(0.344128\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 15.4598 | − | 26.7771i | 0.593291 | − | 1.02761i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −19.6326 | + | 34.0047i | −0.752324 | + | 1.30306i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 17.8502 | 0.683018 | 0.341509 | − | 0.939879i | \(-0.389062\pi\) | ||||
0.341509 | + | 0.939879i | \(0.389062\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 5.21477 | 0.199246 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −9.94538 | + | 17.2259i | −0.379440 | + | 0.657210i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 3.53402 | − | 6.12110i | 0.134635 | − | 0.233195i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.27242 | 0.352739 | 0.176370 | − | 0.984324i | \(-0.443565\pi\) | ||||
0.176370 | + | 0.984324i | \(0.443565\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0.953597 | + | 1.65168i | 0.0362241 | + | 0.0627421i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 10.7238 | 0.406778 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.50937 | + | 13.0066i | 0.284438 | + | 0.492660i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 18.8798 | + | 32.7008i | 0.714100 | + | 1.23686i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 3.84453 | − | 6.65892i | 0.145206 | − | 0.251504i | −0.784244 | − | 0.620453i | \(-0.786949\pi\) |
0.929450 | + | 0.368949i | \(0.120282\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 21.3897 | − | 17.6678i | 0.806728 | − | 0.666354i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 2.94949 | − | 5.10867i | 0.111084 | − | 0.192404i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 7.54316 | + | 13.0651i | 0.283690 | + | 0.491365i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.2187 | − | 21.1635i | −0.458885 | − | 0.794812i | 0.540018 | − | 0.841654i | \(-0.318418\pi\) |
−0.998902 | + | 0.0468421i | \(0.985084\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 1.41251 | 0.0529732 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.02977 | − | 1.78361i | −0.0385652 | − | 0.0667968i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.556310 | 0.0208048 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 17.5673 | − | 30.4275i | 0.656063 | − | 1.13633i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −11.0563 | + | 19.1501i | −0.412331 | + | 0.714178i | −0.995144 | − | 0.0984282i | \(-0.968619\pi\) |
0.582813 | + | 0.812606i | \(0.301952\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.09711 | 0.0408584 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −12.5085 | −0.465195 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 4.85261 | − | 8.40497i | 0.180222 | − | 0.312153i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −14.5247 | + | 25.1575i | −0.538692 | + | 0.933042i | 0.460283 | + | 0.887772i | \(0.347748\pi\) |
−0.998975 | + | 0.0452694i | \(0.985585\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 29.9075 | 1.10768 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −3.85092 | − | 6.66999i | −0.142431 | − | 0.246698i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.5428 | 0.537151 | 0.268576 | − | 0.963259i | \(-0.413447\pi\) | ||||
0.268576 | + | 0.963259i | \(0.413447\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0.831547 | + | 1.44028i | 0.0306721 | + | 0.0531256i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −1.09492 | − | 1.89646i | −0.0403320 | − | 0.0698570i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −2.37798 | + | 4.11878i | −0.0874754 | + | 0.151512i | −0.906443 | − | 0.422327i | \(-0.861213\pi\) |
0.818968 | + | 0.573839i | \(0.194547\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.22533 | + | 2.66411i | −0.118486 | + | 0.0978687i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.93853 | − | 5.08968i | 0.107804 | − | 0.186722i | −0.807076 | − | 0.590447i | \(-0.798951\pi\) |
0.914880 | + | 0.403725i | \(0.132285\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 7.45578 | + | 12.9138i | 0.273159 | + | 0.473125i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 2.87961 | + | 4.98763i | 0.105359 | + | 0.182488i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 18.3263 | 0.669629 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.810481 | + | 1.40379i | 0.0295749 | + | 0.0512252i | 0.880434 | − | 0.474169i | \(-0.157251\pi\) |
−0.850859 | + | 0.525394i | \(0.823918\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 27.2243 | 0.992107 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 10.7295 | − | 18.5840i | 0.390485 | − | 0.676341i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 14.0567 | − | 24.3470i | 0.510901 | − | 0.884907i | −0.489019 | − | 0.872273i | \(-0.662645\pi\) |
0.999920 | − | 0.0126336i | \(-0.00402151\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0.538612 | 0.0195504 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 20.1663 | 0.731027 | 0.365514 | − | 0.930806i | \(-0.380893\pi\) | ||||
0.365514 | + | 0.930806i | \(0.380893\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −9.35610 | + | 16.2052i | −0.338713 | + | 0.586669i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.44843 | − | 2.50876i | 0.0523682 | − | 0.0907044i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −1.58221 | −0.0571303 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −22.6524 | − | 39.2350i | −0.816865 | − | 1.41485i | −0.907981 | − | 0.419011i | \(-0.862377\pi\) |
0.0911160 | − | 0.995840i | \(-0.470957\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −21.0357 | −0.757583 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 10.0881 | + | 17.4731i | 0.362843 | + | 0.628462i | 0.988428 | − | 0.151694i | \(-0.0484728\pi\) |
−0.625585 | + | 0.780156i | \(0.715139\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.46675 | + | 4.27253i | 0.0886081 | + | 0.153474i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 13.5247 | − | 23.4255i | 0.485196 | − | 0.840385i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −2.90461 | − | 17.2526i | −0.104068 | − | 0.618138i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.770594 | + | 1.33471i | −0.0275740 | + | 0.0477596i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 27.3239 | + | 47.3264i | 0.976478 | + | 1.69131i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 1.21559 | + | 2.10546i | 0.0433862 | + | 0.0751471i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 46.1385 | 1.64466 | 0.822331 | − | 0.569010i | \(-0.192673\pi\) | ||||
0.822331 | + | 0.569010i | \(0.192673\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 4.78213 | + | 8.28289i | 0.170248 | + | 0.294879i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0.838961 | 0.0298300 | ||||||||
\(792\) | 0 | 0 |