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 | 881.3 | ||
Root | \(-0.245959 - 0.426014i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1520.881 |
Dual form | 1520.2.q.o.961.3 |
$q$-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 \(\left(\mathbb{Z}/1520\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(401\) | \(1141\) | \(1217\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(1\) | \(1\) |
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 | 0.996932 | − | 0.0782728i | \(-0.0249405\pi\) |
−0.566252 | + | 0.824232i | \(0.691607\pi\) | |||||||
\(4\) | 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 | −0.907176 | − | 0.420751i | \(-0.861767\pi\) |
0.817969 | + | 0.575262i | \(0.195100\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0.745959 | − | 1.29204i | 0.192606 | − | 0.333603i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.87093 | − | 3.24054i | −0.453766 | − | 0.785946i | 0.544850 | − | 0.838534i | \(-0.316587\pi\) |
−0.998616 | + | 0.0525872i | \(0.983253\pi\) | |||||||
\(18\) | 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 | −0.843443 | − | 0.537218i | \(-0.819475\pi\) |
0.886966 | + | 0.461834i | \(0.152808\pi\) | |||||||
\(24\) | 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 | 0.0750490 | − | 0.997180i | \(-0.476089\pi\) |
0.826059 | − | 0.563584i | \(-0.190578\pi\) | |||||||
\(30\) | 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 | 0.979100 | − | 0.203379i | \(-0.0651924\pi\) |
−0.665681 | + | 0.746236i | \(0.731859\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −1.02915 | − | 1.78254i | −0.156944 | − | 0.271834i | 0.776821 | − | 0.629721i | \(-0.216831\pi\) |
−0.933765 | + | 0.357887i | \(0.883497\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −0.774179 | −0.115408 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −1.97698 | + | 3.42423i | −0.288372 | + | 0.499475i | −0.973421 | − | 0.229022i | \(-0.926447\pi\) |
0.685049 | + | 0.728497i | \(0.259781\pi\) | |||||||
\(48\) | 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 | −0.190937 | − | 0.981602i | \(-0.561153\pi\) |
0.945561 | − | 0.325444i | \(-0.105514\pi\) | |||||||
\(54\) | 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 | 0.934906 | − | 0.354894i | \(-0.115483\pi\) |
−0.774801 | + | 0.632206i | \(0.782150\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.16740 | + | 5.48609i | −0.405543 | + | 0.702422i | −0.994385 | − | 0.105827i | \(-0.966251\pi\) |
0.588841 | + | 0.808249i | \(0.299584\pi\) | |||||||
\(62\) | 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 | −0.932942 | − | 0.360027i | \(-0.882767\pi\) |
0.778263 | + | 0.627938i | \(0.216101\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0.622817 | 0.0749783 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −0.891065 | − | 1.54337i | −0.105750 | − | 0.183164i | 0.808294 | − | 0.588779i | \(-0.200391\pi\) |
−0.914044 | + | 0.405614i | \(0.867058\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 3.56545 | + | 6.17554i | 0.417304 | + | 0.722792i | 0.995667 | − | 0.0929873i | \(-0.0296416\pi\) |
−0.578363 | + | 0.815780i | \(0.696308\pi\) | |||||||
\(74\) | 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 | 0.912771 | − | 0.408473i | \(-0.133939\pi\) |
−0.810133 | + | 0.586246i | \(0.800605\pi\) | |||||||
\(80\) | 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 | −0.959456 | − | 0.281859i | \(-0.909049\pi\) |
0.723825 | + | 0.689984i | \(0.242382\pi\) | |||||||
\(90\) | 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 | 0.998200 | + | 0.0599699i | \(0.0191005\pi\) |
−0.447165 | + | 0.894452i | \(0.647566\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0.334755 | − | 0.579813i | 0.0336442 | − | 0.0582734i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 2.64799 | − | 4.58645i | 0.263485 | − | 0.456369i | −0.703681 | − | 0.710516i | \(-0.748461\pi\) |
0.967166 | + | 0.254147i | \(0.0817948\pi\) | |||||||
\(102\) | 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 | 0.664761 | − | 0.747056i | \(-0.268534\pi\) |
−0.979350 | + | 0.202171i | \(0.935200\pi\) | |||||||
\(110\) | 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 | −0.600725 | − | 0.799456i | \(-0.705121\pi\) |
0.992711 | + | 0.120516i | \(0.0384548\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 1.53540 | − | 2.65940i | 0.135185 | − | 0.234147i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.4564 | + | 18.1110i | 0.913578 | + | 1.58236i | 0.808969 | + | 0.587851i | \(0.200026\pi\) |
0.104609 | + | 0.994513i | \(0.466641\pi\) | |||||||
\(132\) | 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 | −0.955646 | − | 0.294517i | \(-0.904841\pi\) |
0.732882 | + | 0.680356i | \(0.238175\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −5.36192 | + | 9.28711i | −0.454792 | + | 0.787723i | −0.998676 | − | 0.0514375i | \(-0.983620\pi\) |
0.543884 | + | 0.839160i | \(0.316953\pi\) | |||||||
\(140\) | 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 | 0.991106 | + | 0.133078i | \(0.0424860\pi\) |
−0.380304 | + | 0.924861i | \(0.624181\pi\) | |||||||
\(150\) | 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 | 0.910448 | − | 0.413624i | \(-0.135737\pi\) |
−0.813433 | + | 0.581659i | \(0.802404\pi\) | |||||||
\(158\) | 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 | −0.873765 | − | 0.486348i | \(-0.838329\pi\) |
0.858072 | + | 0.513529i | \(0.171662\pi\) | |||||||
\(168\) | 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 | −0.973419 | − | 0.229031i | \(-0.926444\pi\) |
0.288363 | − | 0.957521i | \(-0.406889\pi\) | |||||||
\(174\) | 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 | −0.350401 | − | 0.936600i | \(-0.613955\pi\) |
0.986320 | − | 0.164844i | \(-0.0527120\pi\) | |||||||
\(182\) | 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 | −0.983608 | − | 0.180320i | \(-0.942287\pi\) |
0.335642 | − | 0.941989i | \(-0.391047\pi\) | |||||||
\(194\) | 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 | −0.840076 | − | 0.542469i | \(-0.817489\pi\) |
0.889830 | + | 0.456292i | \(0.150823\pi\) | |||||||
\(200\) | 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 | 0.982850 | + | 0.184409i | \(0.0590370\pi\) |
−0.331722 | + | 0.943377i | \(0.607630\pi\) | |||||||
\(212\) | 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 | −0.998865 | − | 0.0476227i | \(-0.984835\pi\) |
0.458190 | − | 0.888854i | \(-0.348498\pi\) | |||||||
\(224\) | 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 | −0.898794 | − | 0.438372i | \(-0.855555\pi\) |
0.0697556 | − | 0.997564i | \(-0.477778\pi\) | |||||||
\(234\) | 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 | −0.968871 | − | 0.247568i | \(-0.920369\pi\) |
0.698835 | + | 0.715283i | \(0.253702\pi\) | |||||||
\(242\) | 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 | −0.420048 | − | 0.907502i | \(-0.637987\pi\) |
0.995944 | − | 0.0899792i | \(-0.0286800\pi\) | |||||||
\(252\) | 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 | −0.997671 | − | 0.0682144i | \(-0.978270\pi\) |
0.557911 | + | 0.829901i | \(0.311603\pi\) | |||||||
\(258\) | 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 | 0.750116 | − | 0.661307i | \(-0.229998\pi\) |
−0.947766 | + | 0.318966i | \(0.896665\pi\) | |||||||
\(264\) | 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 | −0.998380 | − | 0.0569032i | \(-0.981877\pi\) |
0.449910 | − | 0.893074i | \(-0.351456\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.94095 | + | 10.2900i | 0.360887 | + | 0.625075i | 0.988107 | − | 0.153767i | \(-0.0491406\pi\) |
−0.627220 | + | 0.778842i | \(0.715807\pi\) | |||||||
\(272\) | 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 | −0.995097 | − | 0.0989020i | \(-0.968467\pi\) |
0.583200 | + | 0.812328i | \(0.301800\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −5.87868 | − | 10.1822i | −0.349451 | − | 0.605268i | 0.636701 | − | 0.771111i | \(-0.280299\pi\) |
−0.986152 | + | 0.165843i | \(0.946965\pi\) | |||||||
\(284\) | 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 | 0.964135 | − | 0.265414i | \(-0.0855085\pi\) |
−0.711922 | + | 0.702258i | \(0.752175\pi\) | |||||||
\(308\) | 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 | −0.821073 | − | 0.570824i | \(-0.806624\pi\) |
0.904884 | + | 0.425658i | \(0.139957\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −2.20536 | −0.124258 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 5.18993 | − | 8.98921i | 0.291495 | − | 0.504885i | −0.682668 | − | 0.730728i | \(-0.739181\pi\) |
0.974164 | + | 0.225844i | \(0.0725139\pi\) | |||||||
\(318\) | 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 | 0.566626 | − | 0.823975i | \(-0.308249\pi\) |
−0.996896 | + | 0.0787246i | \(0.974915\pi\) | |||||||
\(338\) | 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 | −0.996243 | − | 0.0866031i | \(-0.972399\pi\) |
0.423121 | − | 0.906073i | \(-0.360935\pi\) | |||||||
\(348\) | 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 | −0.965401 | − | 0.260769i | \(-0.916024\pi\) |
0.256868 | − | 0.966447i | \(-0.417309\pi\) | |||||||
\(360\) | 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 | 0.393551 | + | 0.919303i | \(0.371246\pi\) |
−0.992915 | + | 0.118826i | \(0.962087\pi\) | |||||||
\(368\) | 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 | 0.950804 | − | 0.309794i | \(-0.100260\pi\) |
−0.743692 | + | 0.668523i | \(0.766927\pi\) | |||||||
\(384\) | 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 | −0.997595 | − | 0.0693125i | \(-0.977919\pi\) |
0.558824 | + | 0.829286i | \(0.311253\pi\) | |||||||
\(390\) | 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 | 0.972805 | − | 0.231625i | \(-0.0744041\pi\) |
−0.686996 | + | 0.726662i | \(0.741071\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3.07555 | + | 18.2679i | −0.153970 | + | 0.914541i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 4.46930 | + | 7.74106i | 0.223186 | + | 0.386570i | 0.955774 | − | 0.294103i | \(-0.0950208\pi\) |
−0.732587 | + | 0.680673i | \(0.761687\pi\) | |||||||
\(402\) | 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 | −0.773709 | − | 0.633541i | \(-0.781601\pi\) |
0.935517 | + | 0.353282i | \(0.114934\pi\) | |||||||
\(410\) | 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 | 0.962939 | + | 0.269720i | \(0.0869311\pi\) |
−0.247885 | + | 0.968789i | \(0.579736\pi\) | |||||||
\(422\) | 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 | −0.978442 | − | 0.206524i | \(-0.933785\pi\) |
0.668076 | + | 0.744093i | \(0.267118\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.92144 | − | 11.9883i | 0.332623 | − | 0.576120i | −0.650402 | − | 0.759590i | \(-0.725400\pi\) |
0.983025 | + | 0.183470i | \(0.0587330\pi\) | |||||||
\(434\) | 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 | 0.865179 | − | 0.501463i | \(-0.167205\pi\) |
−0.866869 | + | 0.498536i | \(0.833871\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0.431503 | − | 0.747384i | 0.0205477 | − | 0.0355897i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.89457 | + | 3.28149i | −0.0900137 | + | 0.155908i | −0.907517 | − | 0.420016i | \(-0.862024\pi\) |
0.817503 | + | 0.575924i | \(0.195358\pi\) | |||||||
\(444\) | 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 | 0.998280 | − | 0.0586304i | \(-0.0186734\pi\) |
−0.549915 | + | 0.835220i | \(0.685340\pi\) | |||||||
\(462\) | 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 | 0.431455 | + | 0.902134i | \(0.358000\pi\) |
−0.996999 | + | 0.0774158i | \(0.975333\pi\) | |||||||
\(480\) | 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 | 0.952343 | − | 0.305030i | \(-0.0986666\pi\) |
−0.740335 | + | 0.672238i | \(0.765333\pi\) | |||||||
\(492\) | 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 | 0.997696 | + | 0.0678367i | \(0.0216097\pi\) |
−0.440100 | + | 0.897949i | \(0.645057\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −0.605119 | −0.0270347 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −15.6590 | + | 27.1222i | −0.698200 | + | 1.20932i | 0.270890 | + | 0.962610i | \(0.412682\pi\) |
−0.969090 | + | 0.246707i | \(0.920651\pi\) | |||||||
\(504\) | 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 | −0.738809 | − | 0.673915i | \(-0.764611\pi\) |
0.953032 | + | 0.302870i | \(0.0979447\pi\) | |||||||
\(510\) | 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 | 0.00484172 | − | 0.999988i | \(-0.498459\pi\) |
0.863594 | − | 0.504187i | \(-0.168208\pi\) | |||||||
\(524\) | 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 | 0.318577 | + | 0.947897i | \(0.396795\pi\) |
−0.980191 | + | 0.198052i | \(0.936538\pi\) | |||||||
\(542\) | 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 | −0.991340 | − | 0.131322i | \(-0.958078\pi\) |
0.609398 | + | 0.792865i | \(0.291411\pi\) | |||||||
\(548\) | 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 | −0.730768 | − | 0.682626i | \(-0.760838\pi\) |
0.956555 | + | 0.291551i | \(0.0941712\pi\) | |||||||
\(558\) | 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 | 0.734680 | − | 0.678414i | \(-0.237332\pi\) |
−0.954864 | + | 0.297045i | \(0.903999\pi\) | |||||||
\(588\) | 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 | −0.636983 | − | 0.770878i | \(-0.719818\pi\) |
0.986091 | + | 0.166205i | \(0.0531513\pi\) | |||||||
\(594\) | 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 | −0.408957 | − | 0.912554i | \(-0.634107\pi\) |
0.994773 | − | 0.102110i | \(-0.0325592\pi\) | |||||||
\(600\) | 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 | −0.968629 | − | 0.248509i | \(-0.920059\pi\) |
0.269099 | − | 0.963112i | \(-0.413274\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 5.98814 | 0.241465 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −2.23284 | + | 3.86740i | −0.0898909 | + | 0.155696i | −0.907465 | − | 0.420128i | \(-0.861985\pi\) |
0.817574 | + | 0.575824i | \(0.195319\pi\) | |||||||
\(618\) | 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 | −0.812328 | − | 0.583201i | \(-0.801800\pi\) |
0.911231 | + | 0.411896i | \(0.135133\pi\) | |||||||
\(632\) | 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 | 0.948059 | + | 0.318096i | \(0.103043\pi\) |
−0.198550 | + | 0.980091i | \(0.563623\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.6251 | + | 30.5276i | 0.695067 | + | 1.20389i | 0.970158 | + | 0.242473i | \(0.0779585\pi\) |
−0.275092 | + | 0.961418i | \(0.588708\pi\) | |||||||
\(644\) | 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 | −0.119844 | + | 0.992793i | \(0.538240\pi\) |
−0.799861 | + | 0.600185i | \(0.795094\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 13.0580 | − | 22.6171i | 0.507896 | − | 0.879702i | −0.492062 | − | 0.870560i | \(-0.663757\pi\) |
0.999958 | − | 0.00914181i | \(-0.00290997\pi\) | |||||||
\(662\) | 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 | 0.929450 | − | 0.368949i | \(-0.120282\pi\) |
−0.784244 | + | 0.620453i | \(0.786949\pi\) | |||||||
\(702\) | 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 | −0.998902 | − | 0.0468421i | \(-0.985084\pi\) |
0.540018 | + | 0.841654i | \(0.318418\pi\) | |||||||
\(710\) | 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 | 0.582813 | − | 0.812606i | \(-0.301952\pi\) |
−0.995144 | + | 0.0984282i | \(0.968619\pi\) | |||||||
\(720\) | 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 | −0.998975 | − | 0.0452694i | \(-0.985585\pi\) |
0.460283 | − | 0.887772i | \(-0.347748\pi\) | |||||||
\(728\) | 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 | 0.818968 | − | 0.573839i | \(-0.194547\pi\) |
−0.906443 | + | 0.422327i | \(0.861213\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −3.22533 | − | 2.66411i | −0.118486 | − | 0.0978687i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 2.93853 | + | 5.08968i | 0.107804 | + | 0.186722i | 0.914880 | − | 0.403725i | \(-0.132285\pi\) |
−0.807076 | + | 0.590447i | \(0.798951\pi\) | |||||||
\(744\) | 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 | −0.850859 | − | 0.525394i | \(-0.823918\pi\) |
0.880434 | + | 0.474169i | \(0.157251\pi\) | |||||||
\(752\) | 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 | 0.999920 | + | 0.0126336i | \(0.00402151\pi\) |
−0.489019 | + | 0.872273i | \(0.662645\pi\) | |||||||
\(758\) | 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 | 0.0911160 | + | 0.995840i | \(0.470957\pi\) |
−0.907981 | + | 0.419011i | \(0.862377\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −21.0357 | −0.757583 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 10.0881 | − | 17.4731i | 0.362843 | − | 0.628462i | −0.625585 | − | 0.780156i | \(-0.715139\pi\) |
0.988428 | + | 0.151694i | \(0.0484728\pi\) | |||||||
\(774\) | 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 | ||||||||
\(793\) | −2.03753 | − | 3.52910i | −0.0723546 | − | 0.125322i | ||||
\(794\) | 0 | 0 | ||||||||
\(795\) | −8.19622 | − | 14.1963i | −0.290690 | − | 0.503490i | ||||
\(796\) | 0 | 0 | ||||||||
\(797\) | −1.86497 | −0.0660606 | −0.0330303 | − | 0.999454i | \(-0.510516\pi\) | ||||
−0.0330303 | + | 0.999454i | \(0.510516\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.7951 | 0.523414 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 1.72095 | + | 2.98078i | 0.0608069 | + | 0.105321i | ||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 3.08340 | + | 5.34061i | 0.108811 | + | 0.188466i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.18919 | −0.0419136 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 13.4207 | − | 23.2453i | 0.472429 | − | 0.818272i | ||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 18.2267 | 0.640816 | 0.320408 | − | 0.947280i | \(-0.396180\pi\) | ||||
0.320408 | + | 0.947280i | \(0.396180\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −10.4890 | + | 18.1674i | −0.368317 | + | 0.637944i | −0.989303 | − | 0.145878i | \(-0.953399\pi\) |
0.620986 | + | 0.783822i | \(0.286733\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | −8.86342 | + | 15.3519i | −0.310854 | + | 0.538414i | ||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 8.90876 | + | 15.4304i | 0.312060 | + | 0.540504i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 1.48953 | − | 8.84739i | 0.0521119 | − | 0.309531i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0.709332 | + | 1.22860i | 0.0247861 | + | 0.0429307i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 11.0433 | − | 19.1276i | 0.385415 | − | 0.667558i | −0.606412 | − | 0.795151i | \(-0.707392\pi\) |
0.991827 | + | 0.127593i | \(0.0407251\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.98847 | − | 13.8364i | 0.278461 | − | 0.482308i | −0.692542 | − | 0.721378i | \(-0.743509\pi\) |
0.971002 | + | 0.239070i | \(0.0768425\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | −1.29021 | −0.0449194 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 24.6004 | − | 42.6092i | 0.855441 | − | 1.48167i | −0.0207946 | − | 0.999784i | \(-0.506620\pi\) |
0.876235 | − | 0.481883i | \(-0.160047\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −35.8564 | −1.24534 | −0.622672 | − | 0.782483i | \(-0.713953\pi\) | ||||
−0.622672 | + | 0.782483i | \(0.713953\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 17.6226 | + | 30.5232i | 0.611320 | + | 1.05884i | ||||
\(832\) | 0 | 0 | ||||||||
\(833\) | −2.08559 | − | 3.61234i | −0.0722613 | − | 0.125160i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.405598 | 0.0140363 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −27.7794 | −0.960195 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −12.7415 | − | 22.0689i | −0.439885 | − | 0.761903i | 0.557795 | − | 0.829979i | \(-0.311648\pi\) |
−0.997680 | + | 0.0680753i | \(0.978314\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −32.5957 | − | 56.4574i | −1.12399 | − | 1.94681i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −20.6024 | −0.709583 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 6.29309 | − | 10.9000i | 0.216489 | − | 0.374970i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −29.2046 | −1.00348 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 8.77051 | − | 15.1910i | 0.301003 | − | 0.521353i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 1.32850 | − | 2.30103i | 0.0455404 | − | 0.0788782i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 28.5811 | + | 49.5039i | 0.978598 | + | 1.69498i | 0.667511 | + | 0.744600i | \(0.267360\pi\) |
0.311087 | + | 0.950382i | \(0.399307\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | −2.60178 | − | 2.14906i | −0.0889790 | − | 0.0734963i | ||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −13.0987 | − | 22.6876i | −0.447442 | − | 0.774993i | 0.550776 | − | 0.834653i | \(-0.314332\pi\) |
−0.998219 | + | 0.0596598i | \(0.980998\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.87246 | + | 15.3675i | −0.302724 | + | 0.524334i | −0.976752 | − | 0.214372i | \(-0.931229\pi\) |
0.674028 | + | 0.738706i | \(0.264563\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −8.52902 | + | 14.7727i | −0.290668 | + | 0.503452i | ||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −25.0867 | −0.853960 | −0.426980 | − | 0.904261i | \(-0.640422\pi\) | ||||
−0.426980 | + | 0.904261i | \(0.640422\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −9.01051 | + | 15.6067i | −0.306366 | + | 0.530642i | ||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 4.47357 | 0.151930 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.788924 | + | 1.36646i | 0.0267624 | + | 0.0463539i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −0.814457 | − | 1.41068i | −0.0275968 | − | 0.0477991i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 8.40305 | 0.284400 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 2.84864 | 0.0963015 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −5.00784 | − | 8.67383i | −0.169103 | − | 0.292895i | 0.769002 | − | 0.639246i | \(-0.220754\pi\) |
−0.938105 | + | 0.346352i | \(0.887420\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | −20.1839 | − | 34.9595i | −0.680786 | − | 1.17916i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 33.3473 | 1.12350 | 0.561750 | − | 0.827307i | \(-0.310128\pi\) | ||||
0.561750 | + | 0.827307i | \(0.310128\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −13.6785 | + | 23.6919i | −0.460319 | + | 0.797296i | −0.998977 | − | 0.0452288i | \(-0.985598\pi\) |
0.538658 | + | 0.842525i | \(0.318932\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 3.66951 | 0.123349 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 8.58172 | − | 14.8640i | 0.288146 | − | 0.499084i | −0.685221 | − | 0.728335i | \(-0.740294\pi\) |
0.973367 | + | 0.229251i | \(0.0736278\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 12.5837 | − | 21.7957i | 0.422045 | − | 0.731004i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 2.62818 | + | 4.55213i | 0.0880472 | + | 0.152502i | ||||
\(892\) | 0 | 0 | ||||||||
\(893\) | −16.1494 | + | 6.01985i | −0.540419 | + | 0.201447i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 10.0762 | + | 17.4524i | 0.336809 | + | 0.583370i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | −0.200323 | + | 0.346970i | −0.00668859 | + | 0.0115850i | ||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −23.9403 | + | 41.4659i | −0.798455 | + | 1.38296i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −41.1136 | −1.36969 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 4.37381 | − | 7.57566i | 0.145551 | − | 0.252102i | ||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −17.1108 | −0.568783 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 1.51053 | + | 2.61631i | 0.0501563 | + | 0.0868732i | 0.890014 | − | 0.455934i | \(-0.150695\pi\) |
−0.839857 | + | 0.542807i | \(0.817361\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | −2.05002 | − | 3.55074i | −0.0679948 | − | 0.117770i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 19.5682 | 0.648324 | 0.324162 | − | 0.946002i | \(-0.394918\pi\) | ||||
0.324162 | + | 0.946002i | \(0.394918\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 6.43336 | 0.212913 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 4.72550 | + | 8.18480i | 0.156220 | + | 0.270581i | ||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 29.7864 | + | 51.5916i | 0.983635 | + | 1.70371i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 1.81420 | 0.0598448 | 0.0299224 | − | 0.999552i | \(-0.490474\pi\) | ||||
0.0299224 | + | 0.999552i | \(0.490474\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −6.59297 | + | 11.4194i | −0.217246 | + | 0.376280i | ||||
\(922\) | 0 | 0 | ||||||||
\(923\) | 1.14641 | 0.0377346 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.18233 | + | 5.51197i | −0.104635 | + | 0.181232i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0.149081 | − | 0.258217i | 0.00489648 | − | 0.00848095i | ||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 11.2377 | + | 19.4643i | 0.368698 | + | 0.638603i | 0.989362 | − | 0.145473i | \(-0.0464705\pi\) |
−0.620665 | + | 0.784076i | \(0.713137\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.74628 | + | 3.09442i | 0.122780 | + | 0.101415i | ||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0.485987 | + | 0.841755i | 0.0159105 | + | 0.0275578i | ||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −1.61798 | + | 2.80242i | −0.0529136 | + | 0.0916490i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −27.5193 | + | 47.6647i | −0.899015 | + | 1.55714i | −0.0702593 | + | 0.997529i | \(0.522383\pi\) |
−0.828756 | + | 0.559611i | \(0.810951\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 4.42437 | 0.144384 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 6.09781 | − | 10.5617i | 0.198783 | − | 0.344302i | −0.749351 | − | 0.662173i | \(-0.769635\pi\) |
0.948134 | + | 0.317871i | \(0.102968\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.67557 | 0.0545640 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | −8.02001 | − | 13.8911i | −0.260891 | − | 0.451876i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 15.2153 | + | 26.3537i | 0.494432 | + | 0.856381i | 0.999979 | − | 0.00641783i | \(-0.00204287\pi\) |
−0.505548 | + | 0.862799i | \(0.668710\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −4.58717 | −0.148906 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.4859 | 0.502164 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −7.86891 | − | 13.6293i | −0.254899 | − | 0.441498i | 0.709969 | − | 0.704233i | \(-0.248709\pi\) |
−0.964868 | + | 0.262735i | \(0.915376\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 2.64040 | + | 4.57330i | 0.0854413 | + | 0.147989i | ||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 12.5218 | 0.404772 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | −7.42750 | + | 12.8648i | −0.239846 | + | 0.415426i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6.66065 | −0.214860 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 2.49029 | − | 4.31331i | 0.0802484 | − | 0.138994i | ||||
\(964\) | 0 | 0 | ||||||||
\(965\) | −9.00182 | + | 15.5916i | −0.289779 | + | 0.501912i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 15.3186 | + | 26.5326i | 0.492614 | + | 0.853232i | 0.999964 | − | 0.00850791i | \(-0.00270819\pi\) |
−0.507350 | + | 0.861740i | \(0.669375\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 22.8011 | − | 8.49934i | 0.732478 | − | 0.273038i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 8.23824 | + | 14.2690i | 0.264378 | + | 0.457915i | 0.967400 | − | 0.253252i | \(-0.0815001\pi\) |
−0.703023 | + | 0.711167i | \(0.748167\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −15.2742 | + | 26.4556i | −0.489667 | + | 0.848128i | ||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0.479861 | − | 0.831144i | 0.0153679 | − | 0.0266179i | ||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −2.77995 | −0.0889383 | −0.0444692 | − | 0.999011i | \(-0.514160\pi\) | ||||
−0.0444692 | + | 0.999011i | \(0.514160\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.92240 | + | 3.32969i | −0.0614401 | + | 0.106417i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −5.08545 | −0.162366 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −0.855856 | − | 1.48239i | −0.0272976 | − | 0.0472808i | 0.852054 | − | 0.523454i | \(-0.175357\pi\) |
−0.879351 | + | 0.476173i | \(0.842023\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −4.03892 | − | 6.99562i | −0.128691 | − | 0.222899i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −16.8041 | −0.534879 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −0.859257 | −0.0273228 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −4.83711 | − | 8.37811i | −0.153656 | − | 0.266140i | 0.778913 | − | 0.627132i | \(-0.215771\pi\) |
−0.932569 | + | 0.360992i | \(0.882438\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | −11.2582 | − | 19.4997i | −0.357267 | − | 0.618805i | ||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −1.40374 | −0.0445017 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −11.3656 | + | 19.6857i | −0.359951 | + | 0.623454i | −0.987952 | − | 0.154759i | \(-0.950540\pi\) |
0.628001 | + | 0.778212i | \(0.283873\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 35.8380 | 1.13386 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 1520.2.q.o.881.3 | 8 | ||
4.3 | odd | 2 | 95.2.e.c.26.1 | yes | 8 | ||
12.11 | even | 2 | 855.2.k.h.406.4 | 8 | |||
19.11 | even | 3 | inner | 1520.2.q.o.961.3 | 8 | ||
20.3 | even | 4 | 475.2.j.c.349.1 | 16 | |||
20.7 | even | 4 | 475.2.j.c.349.8 | 16 | |||
20.19 | odd | 2 | 475.2.e.e.26.4 | 8 | |||
76.7 | odd | 6 | 1805.2.a.o.1.4 | 4 | |||
76.11 | odd | 6 | 95.2.e.c.11.1 | ✓ | 8 | ||
76.31 | even | 6 | 1805.2.a.i.1.1 | 4 | |||
228.11 | even | 6 | 855.2.k.h.676.4 | 8 | |||
380.87 | even | 12 | 475.2.j.c.49.1 | 16 | |||
380.159 | odd | 6 | 9025.2.a.bg.1.1 | 4 | |||
380.163 | even | 12 | 475.2.j.c.49.8 | 16 | |||
380.239 | odd | 6 | 475.2.e.e.201.4 | 8 | |||
380.259 | even | 6 | 9025.2.a.bp.1.4 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
95.2.e.c.11.1 | ✓ | 8 | 76.11 | odd | 6 | ||
95.2.e.c.26.1 | yes | 8 | 4.3 | odd | 2 | ||
475.2.e.e.26.4 | 8 | 20.19 | odd | 2 | |||
475.2.e.e.201.4 | 8 | 380.239 | odd | 6 | |||
475.2.j.c.49.1 | 16 | 380.87 | even | 12 | |||
475.2.j.c.49.8 | 16 | 380.163 | even | 12 | |||
475.2.j.c.349.1 | 16 | 20.3 | even | 4 | |||
475.2.j.c.349.8 | 16 | 20.7 | even | 4 | |||
855.2.k.h.406.4 | 8 | 12.11 | even | 2 | |||
855.2.k.h.676.4 | 8 | 228.11 | even | 6 | |||
1520.2.q.o.881.3 | 8 | 1.1 | even | 1 | trivial | ||
1520.2.q.o.961.3 | 8 | 19.11 | even | 3 | inner | ||
1805.2.a.i.1.1 | 4 | 76.31 | even | 6 | |||
1805.2.a.o.1.4 | 4 | 76.7 | odd | 6 | |||
9025.2.a.bg.1.1 | 4 | 380.159 | odd | 6 | |||
9025.2.a.bp.1.4 | 4 | 380.259 | even | 6 |