Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [380,2,Mod(49,380)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(380, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("380.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 380 = 2^{2} \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 380.r (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.03431527681\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{20} - 20 x^{18} + 261 x^{16} - 1994 x^{14} + 11074 x^{12} - 39211 x^{10} + 99376 x^{8} - 134299 x^{6} + 124617 x^{4} - 24768 x^{2} + 4096 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 49.3 | ||
Root | \(-1.74361 + 1.00667i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 380.49 |
Dual form | 380.2.r.a.349.3 |
$q$-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 \(\left(\mathbb{Z}/380\mathbb{Z}\right)^\times\).
\(n\) | \(21\) | \(77\) | \(191\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(1\) |
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 | ||||||||
\(3\) | −1.74361 | − | 1.00667i | −1.00667 | − | 0.581203i | −0.0964577 | − | 0.995337i | \(-0.530751\pi\) |
−0.910216 | + | 0.414134i | \(0.864085\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −1.95659 | + | 1.08248i | −0.875013 | + | 0.484100i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.34403i | 0.507994i | 0.967205 | + | 0.253997i | \(0.0817454\pi\) | ||||
−0.967205 | + | 0.253997i | \(0.918255\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0.526784 | + | 0.912416i | 0.175595 | + | 0.304139i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 5.25594 | 1.58473 | 0.792363 | − | 0.610050i | \(-0.208851\pi\) | ||||
0.792363 | + | 0.610050i | \(0.208851\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.10918 | − | 1.21773i | 0.584980 | − | 0.337738i | −0.178130 | − | 0.984007i | \(-0.557005\pi\) |
0.763110 | + | 0.646269i | \(0.223671\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 4.50123 | + | 0.0822214i | 1.16221 | + | 0.0212295i | ||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −1.17765 | − | 0.679914i | −0.285621 | − | 0.164903i | 0.350344 | − | 0.936621i | \(-0.386065\pi\) |
−0.635965 | + | 0.771718i | \(0.719398\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 2.89815 | + | 3.25587i | 0.664882 | + | 0.746949i | ||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1.35300 | − | 2.34346i | 0.295248 | − | 0.511384i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 7.05514 | − | 4.07329i | 1.47110 | − | 0.849339i | 0.471625 | − | 0.881799i | \(-0.343668\pi\) |
0.999473 | + | 0.0324603i | \(0.0103342\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 2.65647 | − | 4.23594i | 0.531294 | − | 0.847187i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 3.91884i | 0.754182i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −1.03597 | − | 1.79435i | −0.192375 | − | 0.333203i | 0.753662 | − | 0.657262i | \(-0.228286\pi\) |
−0.946037 | + | 0.324059i | \(0.894952\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.513207 | −0.0921747 | −0.0460873 | − | 0.998937i | \(-0.514675\pi\) | ||||
−0.0460873 | + | 0.998937i | \(0.514675\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −9.16431 | − | 5.29102i | −1.59530 | − | 0.921048i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | −1.45488 | − | 2.62971i | −0.245920 | − | 0.444501i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.57175i | 0.915991i | 0.888955 | + | 0.457995i | \(0.151432\pi\) | ||||
−0.888955 | + | 0.457995i | \(0.848568\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −4.90344 | −0.785179 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 2.70353 | − | 4.68265i | 0.422220 | − | 0.731307i | −0.573936 | − | 0.818900i | \(-0.694584\pi\) |
0.996156 | + | 0.0875933i | \(0.0279176\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 11.0197 | + | 6.36221i | 1.68048 | + | 0.970228i | 0.961339 | + | 0.275369i | \(0.0888000\pi\) |
0.719146 | + | 0.694859i | \(0.244533\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −2.01837 | − | 1.21499i | −0.300881 | − | 0.181120i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.82785 | + | 1.63266i | −0.412485 | + | 0.238148i | −0.691857 | − | 0.722035i | \(-0.743207\pi\) |
0.279372 | + | 0.960183i | \(0.409874\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 5.19359 | 0.741942 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.36890 | + | 2.37101i | 0.191685 | + | 0.332008i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −10.1892 | + | 5.88276i | −1.39960 | + | 0.808060i | −0.994351 | − | 0.106146i | \(-0.966149\pi\) |
−0.405250 | + | 0.914206i | \(0.632815\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −10.2837 | + | 5.68946i | −1.38666 | + | 0.767166i | ||||
\(56\) | 0 | 0 | ||||||||
\(57\) | −1.77564 | − | 8.59447i | −0.235190 | − | 1.13837i | ||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 0.0175979 | − | 0.0304805i | 0.00229105 | − | 0.00396822i | −0.864878 | − | 0.501983i | \(-0.832604\pi\) |
0.867169 | + | 0.498015i | \(0.165937\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 0.518372 | + | 0.897846i | 0.0663707 | + | 0.114957i | 0.897301 | − | 0.441419i | \(-0.145525\pi\) |
−0.830930 | + | 0.556376i | \(0.812191\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1.22631 | + | 0.708011i | −0.154501 | + | 0.0892010i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2.80861 | + | 4.66574i | −0.348366 | + | 0.578714i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.664028 | + | 0.383377i | −0.0811239 | + | 0.0468369i | −0.540013 | − | 0.841657i | \(-0.681581\pi\) |
0.458889 | + | 0.888493i | \(0.348247\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −16.4019 | −1.97455 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 5.68450 | − | 9.84583i | 0.674625 | − | 1.16849i | −0.301953 | − | 0.953323i | \(-0.597638\pi\) |
0.976578 | − | 0.215163i | \(-0.0690282\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.86429 | + | 1.07635i | 0.218199 | + | 0.125977i | 0.605116 | − | 0.796137i | \(-0.293127\pi\) |
−0.386917 | + | 0.922115i | \(0.626460\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −8.89606 | + | 4.71162i | −1.02723 | + | 0.544051i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 7.06413i | 0.805032i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −6.48576 | + | 11.2337i | −0.729705 | + | 1.26389i | 0.227302 | + | 0.973824i | \(0.427009\pi\) |
−0.957008 | + | 0.290062i | \(0.906324\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 5.52535 | − | 9.57019i | 0.613928 | − | 1.06335i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 4.20304i | 0.461343i | 0.973032 | + | 0.230672i | \(0.0740923\pi\) | ||||
−0.973032 | + | 0.230672i | \(0.925908\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.04016 | + | 0.0555329i | 0.329752 | + | 0.00602339i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 4.17153i | 0.447235i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −3.65426 | − | 6.32937i | −0.387351 | − | 0.670912i | 0.604741 | − | 0.796422i | \(-0.293277\pi\) |
−0.992092 | + | 0.125510i | \(0.959943\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.63667 | + | 2.83479i | 0.171569 | + | 0.297166i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0.894833 | + | 0.516632i | 0.0927898 | + | 0.0535722i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −9.19491 | − | 3.23321i | −0.943378 | − | 0.331720i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.721716 | − | 0.416683i | −0.0732791 | − | 0.0423077i | 0.462913 | − | 0.886404i | \(-0.346804\pi\) |
−0.536192 | + | 0.844096i | \(0.680138\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 2.76875 | + | 4.79561i | 0.278269 | + | 0.481977i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −7.40992 | − | 12.8344i | −0.737315 | − | 1.27707i | −0.953700 | − | 0.300759i | \(-0.902760\pi\) |
0.216385 | − | 0.976308i | \(-0.430573\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − | 9.40773i | − | 0.926971i | −0.886104 | − | 0.463486i | \(-0.846599\pi\) | ||
0.886104 | − | 0.463486i | \(-0.153401\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | −0.110508 | + | 6.04977i | −0.0107845 | + | 0.590397i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | − | 12.8130i | − | 1.23868i | −0.785124 | − | 0.619338i | \(-0.787401\pi\) | ||
0.785124 | − | 0.619338i | \(-0.212599\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 0.996875 | − | 1.72664i | 0.0954833 | − | 0.165382i | −0.814327 | − | 0.580406i | \(-0.802894\pi\) |
0.909810 | + | 0.415025i | \(0.136227\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 5.60894 | − | 9.71497i | 0.532377 | − | 0.922104i | ||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 8.34647i | 0.785170i | 0.919716 | + | 0.392585i | \(0.128419\pi\) | ||||
−0.919716 | + | 0.392585i | \(0.871581\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −9.39474 | + | 15.6068i | −0.876064 | + | 1.45534i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 2.22216 | + | 1.28296i | 0.205439 | + | 0.118610i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0.913823 | − | 1.58279i | 0.0837700 | − | 0.145094i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 16.6249 | 1.51136 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −9.42780 | + | 5.44314i | −0.850076 | + | 0.490791i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −0.612300 | + | 11.1636i | −0.0547658 | + | 0.998499i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 17.8240 | − | 10.2907i | 1.58163 | − | 0.913153i | 0.587005 | − | 0.809583i | \(-0.300307\pi\) |
0.994622 | − | 0.103569i | \(-0.0330264\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −12.8093 | − | 22.1864i | −1.12780 | − | 1.95341i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5.36554 | + | 9.29339i | −0.468790 | + | 0.811967i | −0.999364 | − | 0.0356712i | \(-0.988643\pi\) |
0.530574 | + | 0.847639i | \(0.321976\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −4.37598 | + | 3.89519i | −0.379446 | + | 0.337756i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −4.24207 | − | 7.66756i | −0.365100 | − | 0.659919i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 14.8771 | − | 8.58931i | 1.27104 | − | 0.733834i | 0.295855 | − | 0.955233i | \(-0.404396\pi\) |
0.975183 | + | 0.221399i | \(0.0710622\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.66394 | + | 6.34613i | 0.310771 | + | 0.538272i | 0.978530 | − | 0.206106i | \(-0.0660793\pi\) |
−0.667758 | + | 0.744378i | \(0.732746\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 6.57423 | 0.553650 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 11.0857 | − | 6.40033i | 0.927033 | − | 0.535223i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 3.96932 | + | 2.38939i | 0.329634 | + | 0.198428i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −9.05560 | − | 5.22825i | −0.746893 | − | 0.431219i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −6.12292 | + | 10.6052i | −0.501609 | + | 0.868812i | 0.498389 | + | 0.866953i | \(0.333925\pi\) |
−0.999998 | + | 0.00185904i | \(0.999408\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −11.5577 | −0.940549 | −0.470274 | − | 0.882520i | \(-0.655845\pi\) | ||||
−0.470274 | + | 0.882520i | \(0.655845\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | − | 1.43267i | − | 0.115825i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.00413 | − | 0.555537i | 0.0806540 | − | 0.0446218i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −3.58528 | − | 2.06996i | −0.286137 | − | 0.165201i | 0.350062 | − | 0.936727i | \(-0.386161\pi\) |
−0.636198 | + | 0.771526i | \(0.719494\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 23.6881 | 1.87859 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 5.47460 | + | 9.48229i | 0.431459 | + | 0.747309i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − | 9.41672i | − | 0.737575i | −0.929514 | − | 0.368787i | \(-0.879773\pi\) | ||
0.929514 | − | 0.368787i | \(-0.120227\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 23.6582 | + | 0.432151i | 1.84179 | + | 0.0336429i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −11.8395 | + | 6.83551i | −0.916164 | + | 0.528948i | −0.882409 | − | 0.470482i | \(-0.844080\pi\) |
−0.0337550 | + | 0.999430i | \(0.510747\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −3.53425 | + | 6.12151i | −0.271866 | + | 0.470885i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −1.44401 | + | 4.35946i | −0.110426 | + | 0.333376i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 10.1999 | + | 5.88891i | 0.775484 | + | 0.447726i | 0.834827 | − | 0.550512i | \(-0.185567\pi\) |
−0.0593437 | + | 0.998238i | \(0.518901\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 5.69321 | + | 3.57037i | 0.430366 | + | 0.269894i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −0.0613678 | + | 0.0354307i | −0.00461269 | + | 0.00266314i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 16.5727 | 1.23870 | 0.619350 | − | 0.785115i | \(-0.287396\pi\) | ||||
0.619350 | + | 0.785115i | \(0.287396\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 7.19552 | + | 12.4630i | 0.534839 | + | 0.926368i | 0.999171 | + | 0.0407069i | \(0.0129610\pi\) |
−0.464332 | + | 0.885661i | \(0.653706\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − | 2.08733i | − | 0.154300i | ||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.03132 | − | 10.9016i | −0.443431 | − | 0.801504i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −6.18964 | − | 3.57359i | −0.452631 | − | 0.261327i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −5.26703 | −0.383120 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −5.97170 | −0.432097 | −0.216049 | − | 0.976383i | \(-0.569317\pi\) | ||||
−0.216049 | + | 0.976383i | \(0.569317\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −14.1046 | − | 8.14331i | −1.01527 | − | 0.586168i | −0.102542 | − | 0.994729i | \(-0.532698\pi\) |
−0.912731 | + | 0.408560i | \(0.866031\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 9.59401 | − | 5.30788i | 0.687041 | − | 0.380105i | ||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − | 11.5233i | − | 0.820998i | −0.911861 | − | 0.410499i | \(-0.865355\pi\) | ||
0.911861 | − | 0.410499i | \(-0.134645\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.79943 | + | 8.31285i | 0.340222 | + | 0.589283i | 0.984474 | − | 0.175531i | \(-0.0561643\pi\) |
−0.644251 | + | 0.764814i | \(0.722831\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 1.54374 | 0.108887 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 2.41166 | − | 1.39237i | 0.169265 | − | 0.0977253i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −0.220814 | + | 12.0885i | −0.0154223 | + | 0.844299i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 7.43307 | + | 4.29148i | 0.516634 | + | 0.298279i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 15.2325 | + | 17.1127i | 1.05366 | + | 1.18371i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 7.28207 | − | 12.6129i | 0.501318 | − | 0.868308i | −0.498681 | − | 0.866786i | \(-0.666182\pi\) |
0.999999 | − | 0.00152265i | \(-0.000484675\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −19.8231 | + | 11.4449i | −1.35826 | + | 0.784189i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −28.4479 | − | 0.519642i | −1.94013 | − | 0.0354393i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − | 0.689764i | − | 0.0468242i | ||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2.16707 | − | 3.75347i | −0.146437 | − | 0.253636i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3.31182 | −0.222777 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 6.55816 | + | 3.78635i | 0.439167 | + | 0.253553i | 0.703244 | − | 0.710949i | \(-0.251734\pi\) |
−0.264077 | + | 0.964501i | \(0.585067\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 5.26432 | + | 0.192385i | 0.350955 | + | 0.0128257i | ||||
\(226\) | 0 | 0 | ||||||||
\(227\) | − | 6.86640i | − | 0.455739i | −0.973692 | − | 0.227869i | \(-0.926824\pi\) | ||
0.973692 | − | 0.227869i | \(-0.0731759\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −22.1011 | −1.46048 | −0.730240 | − | 0.683191i | \(-0.760592\pi\) | ||||
−0.730240 | + | 0.683191i | \(0.760592\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 7.11127 | − | 12.3171i | 0.467887 | − | 0.810404i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −2.57806 | − | 1.48844i | −0.168894 | − | 0.0975111i | 0.413170 | − | 0.910654i | \(-0.364421\pi\) |
−0.582064 | + | 0.813143i | \(0.697755\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.76562 | − | 6.25555i | 0.245642 | − | 0.408067i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 22.6173 | − | 13.0581i | 1.46915 | − | 0.848214i | ||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 9.71289 | 0.628275 | 0.314137 | − | 0.949378i | \(-0.398285\pi\) | ||||
0.314137 | + | 0.949378i | \(0.398285\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.34287 | + | 16.1823i | 0.601827 | + | 1.04239i | 0.992544 | + | 0.121884i | \(0.0388937\pi\) |
−0.390717 | + | 0.920511i | \(0.627773\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −9.08665 | + | 5.24618i | −0.582909 | + | 0.336543i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −10.1617 | + | 5.62196i | −0.649209 | + | 0.359174i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 10.0775 | + | 3.33803i | 0.641216 | + | 0.212394i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 4.23109 | − | 7.32846i | 0.268134 | − | 0.464422i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 2.10091 | + | 3.63888i | 0.132608 | + | 0.229684i | 0.924681 | − | 0.380742i | \(-0.124332\pi\) |
−0.792073 | + | 0.610426i | \(0.790998\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 37.0814 | − | 21.4090i | 2.33129 | − | 1.34597i | ||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −5.24495 | − | 3.15728i | −0.328452 | − | 0.197716i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | −24.3946 | + | 14.0842i | −1.52169 | + | 0.878548i | −0.522018 | + | 0.852934i | \(0.674821\pi\) |
−0.999672 | + | 0.0256140i | \(0.991846\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.48859 | −0.465318 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 1.09146 | − | 1.89047i | 0.0675599 | − | 0.117017i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −2.34563 | − | 1.35425i | −0.144637 | − | 0.0835065i | 0.425935 | − | 0.904754i | \(-0.359945\pi\) |
−0.570572 | + | 0.821247i | \(0.693279\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 13.5682 | − | 22.5398i | 0.833486 | − | 1.38461i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 14.7146i | 0.900519i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 5.64101 | − | 9.77052i | 0.343938 | − | 0.595719i | −0.641222 | − | 0.767356i | \(-0.721572\pi\) |
0.985160 | + | 0.171637i | \(0.0549055\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.16690 | + | 5.48523i | −0.192375 | + | 0.333204i | −0.946037 | − | 0.324059i | \(-0.894952\pi\) |
0.753662 | + | 0.657263i | \(0.228286\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | − | 6.59035i | − | 0.398866i | ||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 13.9623 | − | 22.2638i | 0.841956 | − | 1.34256i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 11.1435i | 0.669549i | 0.942298 | + | 0.334774i | \(0.108660\pi\) | ||||
−0.942298 | + | 0.334774i | \(0.891340\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −0.270349 | − | 0.468258i | −0.0161854 | − | 0.0280339i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −12.9061 | − | 22.3541i | −0.769916 | − | 1.33353i | −0.937608 | − | 0.347694i | \(-0.886965\pi\) |
0.167693 | − | 0.985839i | \(-0.446368\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 24.9942 | + | 14.4304i | 1.48575 | + | 0.857799i | 0.999868 | − | 0.0162249i | \(-0.00516476\pi\) |
0.485883 | + | 0.874024i | \(0.338498\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 12.7775 | + | 14.8937i | 0.756877 | + | 0.882228i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 6.29360 | + | 3.63361i | 0.371500 | + | 0.214485i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −7.57543 | − | 13.1210i | −0.445614 | − | 0.771826i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0.838927 | + | 1.45306i | 0.0491788 | + | 0.0851801i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − | 22.7742i | − | 1.33048i | −0.746628 | − | 0.665242i | \(-0.768328\pi\) | ||
0.746628 | − | 0.665242i | \(-0.231672\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −0.00143733 | + | 0.0786871i | −8.36848e−5 | + | 0.00458134i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 20.5972i | 1.19517i | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 9.92035 | − | 17.1825i | 0.573709 | − | 0.993692i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −8.55098 | + | 14.8107i | −0.492870 | + | 0.853676i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 29.8375i | 1.71412i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −1.98614 | − | 1.19559i | −0.113726 | − | 0.0684592i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −14.0275 | − | 8.09880i | −0.800593 | − | 0.462223i | 0.0430854 | − | 0.999071i | \(-0.486281\pi\) |
−0.843679 | + | 0.536849i | \(0.819615\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −9.47052 | + | 16.4034i | −0.538759 | + | 0.933158i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −28.3483 | −1.60749 | −0.803743 | − | 0.594977i | \(-0.797161\pi\) | ||||
−0.803743 | + | 0.594977i | \(0.797161\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −2.67539 | + | 1.54464i | −0.151222 | + | 0.0873081i | −0.573702 | − | 0.819064i | \(-0.694493\pi\) |
0.422480 | + | 0.906372i | \(0.361160\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 1.63298 | − | 2.71275i | 0.0920079 | − | 0.152846i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −20.8236 | + | 12.0225i | −1.16957 | + | 0.675251i | −0.953579 | − | 0.301144i | \(-0.902632\pi\) |
−0.215991 | + | 0.976395i | \(0.569298\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.44500 | − | 9.43101i | −0.304861 | − | 0.528035i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −12.8985 | + | 22.3408i | −0.719923 | + | 1.24694i | ||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −1.19928 | − | 5.80476i | −0.0667298 | − | 0.322986i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.444724 | − | 12.1692i | 0.0246689 | − | 0.675026i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −3.47632 | + | 2.00706i | −0.192241 | + | 0.110990i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −2.19434 | − | 3.80071i | −0.120978 | − | 0.209540i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −20.7717 | −1.14171 | −0.570857 | − | 0.821049i | \(-0.693389\pi\) | ||||
−0.570857 | + | 0.821049i | \(0.693389\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −5.08376 | + | 2.93511i | −0.278588 | + | 0.160843i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0.884231 | − | 1.46891i | 0.0483107 | − | 0.0802550i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 2.10139 | + | 1.21324i | 0.114470 | + | 0.0660892i | 0.556142 | − | 0.831087i | \(-0.312281\pi\) |
−0.441672 | + | 0.897177i | \(0.645614\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 8.40217 | − | 14.5530i | 0.456343 | − | 0.790410i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −2.69739 | −0.146072 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.3885i | 0.884896i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 32.0917 | − | 17.7547i | 1.72776 | − | 0.955882i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −2.48834 | − | 1.43664i | −0.133581 | − | 0.0771230i | 0.431720 | − | 0.902008i | \(-0.357907\pi\) |
−0.565301 | + | 0.824885i | \(0.691240\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 5.89385 | 0.315490 | 0.157745 | − | 0.987480i | \(-0.449578\pi\) | ||||
0.157745 | + | 0.987480i | \(0.449578\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 4.77211 | + | 8.26553i | 0.254716 | + | 0.441181i | ||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 12.0238i | − | 0.639962i | −0.947424 | − | 0.319981i | \(-0.896324\pi\) | ||
0.947424 | − | 0.319981i | \(-0.103676\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −0.464289 | + | 25.4176i | −0.0246419 | + | 1.34903i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | −3.18670 | + | 1.83984i | −0.168658 | + | 0.0973748i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −2.26590 | + | 3.92466i | −0.119590 | + | 0.207136i | −0.919605 | − | 0.392844i | \(-0.871491\pi\) |
0.800015 | + | 0.599979i | \(0.204825\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.20143 | + | 18.8720i | −0.115865 | + | 0.993265i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −28.9874 | − | 16.7359i | −1.52144 | − | 0.878406i | ||||
\(364\) | 0 | 0 | ||||||||
\(365\) | −4.81278 | − | 0.0879123i | −0.251912 | − | 0.00460154i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −29.9143 | + | 17.2710i | −1.56151 | + | 0.901539i | −0.564407 | + | 0.825496i | \(0.690895\pi\) |
−0.997105 | + | 0.0760429i | \(0.975771\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 5.69670 | 0.296558 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | −7.90659 | − | 13.6946i | −0.410490 | − | 0.710989i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 24.0801i | 1.24682i | 0.781894 | + | 0.623411i | \(0.214254\pi\) | ||||
−0.781894 | + | 0.623411i | \(0.785746\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 12.3057 | − | 18.8485i | 0.635462 | − | 0.973333i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −4.37008 | − | 2.52307i | −0.225071 | − | 0.129945i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −30.1565 | −1.54904 | −0.774518 | − | 0.632552i | \(-0.782008\pi\) | ||||
−0.774518 | + | 0.632552i | \(0.782008\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −41.4375 | −2.12291 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −33.6192 | − | 19.4101i | −1.71786 | − | 0.991809i | −0.922797 | − | 0.385286i | \(-0.874103\pi\) |
−0.795066 | − | 0.606522i | \(-0.792564\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −7.64678 | − | 13.8216i | −0.389716 | − | 0.704413i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 13.4060i | 0.681467i | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 18.6935 | + | 32.3781i | 0.947799 | + | 1.64164i | 0.750048 | + | 0.661383i | \(0.230030\pi\) |
0.197750 | + | 0.980252i | \(0.436636\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.0779 | −0.560236 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.7108 | − | 10.8027i | 0.943836 | − | 0.544924i | ||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0.529733 | − | 29.0004i | 0.0266538 | − | 1.45917i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.4790 | + | 7.78211i | 0.676492 | + | 0.390573i | 0.798532 | − | 0.601952i | \(-0.205610\pi\) |
−0.122040 | + | 0.992525i | \(0.538944\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 11.5512 | − | 2.38651i | 0.578283 | − | 0.119475i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −11.3113 | + | 19.5918i | −0.564860 | + | 0.978366i | 0.432203 | + | 0.901777i | \(0.357737\pi\) |
−0.997063 | + | 0.0765898i | \(0.975597\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.08244 | + | 0.624949i | −0.0539203 | + | 0.0311309i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −0.451290 | + | 24.7060i | −0.0224248 | + | 1.22765i | ||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 29.2848i | 1.45159i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −18.1239 | − | 31.3915i | −0.896169 | − | 1.55221i | −0.832351 | − | 0.554249i | \(-0.813005\pi\) |
−0.0638187 | − | 0.997962i | \(-0.520328\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −34.5865 | −1.70603 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0.0409666 | + | 0.0236521i | 0.00201583 | + | 0.00116384i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.54970 | − | 8.22361i | −0.223336 | − | 0.403681i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | − | 14.7536i | − | 0.722486i | ||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 14.5598 | 0.711293 | 0.355647 | − | 0.934621i | \(-0.384261\pi\) | ||||
0.355647 | + | 0.934621i | \(0.384261\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.784161 | + | 1.35821i | −0.0382177 | + | 0.0661950i | −0.884502 | − | 0.466537i | \(-0.845501\pi\) |
0.846284 | + | 0.532732i | \(0.178835\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −2.97934 | − | 1.72012i | −0.144860 | − | 0.0836351i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | −6.00846 | + | 3.18226i | −0.291453 | + | 0.154362i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −1.20673 | + | 0.696705i | −0.0583977 | + | 0.0337159i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −25.7722 | −1.24429 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 12.7303 | + | 22.0495i | 0.613197 | + | 1.06209i | 0.990698 | + | 0.136080i | \(0.0434503\pi\) |
−0.377500 | + | 0.926009i | \(0.623216\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −14.6212 | + | 8.44155i | −0.702650 | + | 0.405675i | −0.808334 | − | 0.588725i | \(-0.799630\pi\) |
0.105684 | + | 0.994400i | \(0.466297\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −4.51560 | − | 8.16197i | −0.216507 | − | 0.391337i | ||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 33.7090 | + | 11.1656i | 1.61252 | + | 0.534125i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 9.93240 | − | 17.2034i | 0.474048 | − | 0.821075i | −0.525511 | − | 0.850787i | \(-0.676126\pi\) |
0.999558 | + | 0.0297121i | \(0.00945905\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.73590 | + | 4.73872i | 0.130281 | + | 0.225653i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −4.46422 | + | 2.57742i | −0.212101 | + | 0.122457i | −0.602288 | − | 0.798279i | \(-0.705744\pi\) |
0.390186 | + | 0.920736i | \(0.372411\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 14.0013 | + | 8.42830i | 0.663726 | + | 0.399540i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 21.3520 | − | 12.3276i | 1.00991 | − | 0.583074i | ||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 33.2207 | 1.56778 | 0.783892 | − | 0.620897i | \(-0.213232\pi\) | ||||
0.783892 | + | 0.620897i | \(0.213232\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 14.2096 | − | 24.6117i | 0.669103 | − | 1.15892i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 20.1520 | + | 11.6348i | 0.946826 | + | 0.546650i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | −6.27088 | − | 3.77485i | −0.293983 | − | 0.176968i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − | 11.7126i | − | 0.547894i | −0.961745 | − | 0.273947i | \(-0.911671\pi\) | ||
0.961745 | − | 0.273947i | \(-0.0883293\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 2.66448 | − | 4.61501i | 0.124367 | − | 0.215410i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 3.68501 | − | 6.38263i | 0.171628 | − | 0.297269i | −0.767361 | − | 0.641215i | \(-0.778431\pi\) |
0.938989 | + | 0.343947i | \(0.111764\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | − | 28.8020i | − | 1.33854i | −0.743019 | − | 0.669271i | \(-0.766607\pi\) | ||
0.743019 | − | 0.669271i | \(-0.233393\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −2.31006 | − | 0.0421966i | −0.107127 | − | 0.00195682i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − | 34.1251i | − | 1.57912i | −0.613673 | − | 0.789561i | \(-0.710309\pi\) | ||
0.613673 | − | 0.789561i | \(-0.289691\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.515268 | − | 0.892471i | −0.0237929 | − | 0.0412105i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 4.16756 | + | 7.21842i | 0.192031 | + | 0.332607i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 57.9188 | + | 33.4394i | 2.66311 | + | 1.53755i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 21.4905 | − | 3.62725i | 0.986053 | − | 0.166430i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | −10.7351 | − | 6.19789i | −0.491525 | − | 0.283782i | ||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 14.4130 | + | 24.9640i | 0.658546 | + | 1.14064i | 0.980992 | + | 0.194048i | \(0.0621617\pi\) |
−0.322446 | + | 0.946588i | \(0.604505\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 6.78491 | + | 11.7518i | 0.309365 | + | 0.535836i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | − | 22.0446i | − | 1.00306i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.86315 | + | 0.0340331i | 0.0846013 | + | 0.00154536i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − | 16.5796i | − | 0.751294i | −0.926763 | − | 0.375647i | \(-0.877421\pi\) | ||
0.926763 | − | 0.375647i | \(-0.122579\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −9.47957 | + | 16.4191i | −0.428681 | + | 0.742497i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −4.94615 | + | 8.56698i | −0.223217 | + | 0.386623i | −0.955783 | − | 0.294073i | \(-0.904989\pi\) |
0.732566 | + | 0.680696i | \(0.238322\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 2.81748i | 0.126893i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −10.6084 | − | 6.38591i | −0.476814 | − | 0.287026i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 13.2331 | + | 7.64011i | 0.593584 | + | 0.342706i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −15.4949 | + | 26.8380i | −0.693649 | + | 1.20144i | 0.276985 | + | 0.960874i | \(0.410665\pi\) |
−0.970634 | + | 0.240561i | \(0.922669\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 27.5245 | 1.22970 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −11.1406 | + | 6.43203i | −0.496735 | + | 0.286790i | −0.727364 | − | 0.686252i | \(-0.759255\pi\) |
0.230629 | + | 0.973042i | \(0.425922\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 28.3911 | + | 17.0905i | 1.26339 | + | 0.760516i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 12.3247 | − | 7.11568i | 0.547360 | − | 0.316018i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −7.35312 | − | 12.7360i | −0.325921 | − | 0.564512i | 0.655777 | − | 0.754955i | \(-0.272341\pi\) |
−0.981698 | + | 0.190442i | \(0.939008\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.44664 | + | 2.50566i | −0.0639957 | + | 0.110844i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −12.7593 | + | 11.3574i | −0.563335 | + | 0.501442i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 10.1837 | + | 18.4071i | 0.448747 | + | 0.811112i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −14.8630 | + | 8.58118i | −0.653676 | + | 0.377400i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −11.8564 | − | 20.5359i | −0.520439 | − | 0.901427i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.35528 | 0.234619 | 0.117310 | − | 0.993095i | \(-0.462573\pi\) | ||||
0.117310 | + | 0.993095i | \(0.462573\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 13.8388 | − | 7.98981i | 0.605127 | − | 0.349370i | −0.165929 | − | 0.986138i | \(-0.553062\pi\) |
0.771056 | + | 0.636768i | \(0.219729\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −6.33254 | − | 11.9565i | −0.276375 | − | 0.521826i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 0.604376 | + | 0.348937i | 0.0263270 | + | 0.0151999i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 21.6833 | − | 37.5566i | 0.942753 | − | 1.63290i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0.0370812 | 0.00160919 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − | 13.1687i | − | 0.570400i | ||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 13.8698 | + | 25.0697i | 0.599643 | + | 1.08386i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −28.8963 | − | 16.6833i | −1.24697 | − | 0.719937i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 27.2972 | 1.17577 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −17.9500 | − | 31.0904i | −0.771732 | − | 1.33668i | −0.936613 | − | 0.350366i | \(-0.886057\pi\) |
0.164881 | − | 0.986313i | \(-0.447276\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | − | 28.9742i | − | 1.24340i | ||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | −0.0814211 | + | 4.45742i | −0.00348770 | + | 0.190935i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 22.6473 | − | 13.0754i | 0.968327 | − | 0.559064i | 0.0696011 | − | 0.997575i | \(-0.477827\pi\) |
0.898726 | + | 0.438511i | \(0.144494\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −0.546140 | + | 0.945942i | −0.0233087 | + | 0.0403718i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 2.83979 | − | 8.57329i | 0.120979 | − | 0.365235i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −15.0983 | − | 8.71704i | −0.642047 | − | 0.370686i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −0.458118 | + | 25.0798i | −0.0194460 | + | 1.06458i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.64444 | − | 2.10412i | 0.154420 | − | 0.0891543i | −0.420799 | − | 0.907154i | \(-0.638250\pi\) |
0.575219 | + | 0.818000i | \(0.304917\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 30.9899 | 1.31073 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 7.19488 | + | 12.4619i | 0.303768 | + | 0.526142i | ||||
\(562\) | 0 | 0 | ||||||||
\(563\) | 40.5225i | 1.70782i | 0.520422 | + | 0.853909i | \(0.325775\pi\) | ||||
−0.520422 | + | 0.853909i | \(0.674225\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −9.03489 | − | 16.3306i | −0.380101 | − | 0.687034i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 12.8626 | + | 7.42622i | 0.540178 | + | 0.311872i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −23.9522 | −1.00413 | −0.502064 | − | 0.864831i | \(-0.667426\pi\) | ||||
−0.502064 | + | 0.864831i | \(0.667426\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.78949 | −0.325980 | −0.162990 | − | 0.986628i | \(-0.552114\pi\) | ||||
−0.162990 | + | 0.986628i | \(0.552114\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 10.4123 | + | 6.01155i | 0.434981 | + | 0.251136i | ||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 1.48759 | − | 40.7057i | 0.0620369 | − | 1.69754i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − | 34.1385i | − | 1.42121i | −0.703593 | − | 0.710603i | \(-0.748422\pi\) | ||
0.703593 | − | 0.710603i | \(-0.251578\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 16.3953 | + | 28.3975i | 0.681366 | + | 1.18016i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −5.64899 | −0.234360 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −53.5541 | + | 30.9195i | −2.21798 | + | 1.28055i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −5.73663 | − | 0.104788i | −0.237181 | − | 0.00433244i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −19.1737 | − | 11.0700i | −0.791384 | − | 0.456906i | 0.0490654 | − | 0.998796i | \(-0.484376\pi\) |
−0.840450 | + | 0.541890i | \(0.817709\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −1.48735 | − | 1.67094i | −0.0612853 | − | 0.0688498i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −11.6002 | + | 20.0921i | −0.477167 | + | 0.826477i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 35.8131 | − | 20.6767i | 1.47067 | − | 0.849089i | 0.471208 | − | 0.882022i | \(-0.343818\pi\) |
0.999458 | + | 0.0329325i | \(0.0104846\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −0.0746377 | + | 4.08606i | −0.00305985 | + | 0.167512i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | − | 19.3258i | − | 0.790954i | ||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 16.8243 | + | 29.1406i | 0.687423 | + | 1.19065i | 0.972669 | + | 0.232197i | \(0.0745912\pi\) |
−0.285246 | + | 0.958454i | \(0.592075\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 38.4939 | 1.57020 | 0.785100 | − | 0.619369i | \(-0.212611\pi\) | ||||
0.785100 | + | 0.619369i | \(0.212611\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −0.699598 | − | 0.403913i | −0.0284899 | − | 0.0164486i | ||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −32.5281 | + | 17.9962i | −1.32246 | + | 0.731648i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.1827i | 0.900367i | 0.892936 | + | 0.450183i | \(0.148641\pi\) | ||||
−0.892936 | + | 0.450183i | \(0.851359\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −5.60665 | −0.227193 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −3.97629 | + | 6.88714i | −0.160864 | + | 0.278624i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −4.13445 | − | 2.38703i | −0.166989 | − | 0.0964111i | 0.414176 | − | 0.910197i | \(-0.364070\pi\) |
−0.581165 | + | 0.813786i | \(0.697403\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 12.5542 | − | 20.8554i | 0.506235 | − | 0.840970i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | 14.0178 | − | 8.09317i | 0.564335 | − | 0.325819i | −0.190549 | − | 0.981678i | \(-0.561027\pi\) |
0.754883 | + | 0.655859i | \(0.227693\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −13.4892 | −0.542176 | −0.271088 | − | 0.962555i | \(-0.587383\pi\) | ||||
−0.271088 | + | 0.962555i | \(0.587383\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 15.9626 | + | 27.6480i | 0.640556 | + | 1.10948i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 8.50684 | − | 4.91143i | 0.340819 | − | 0.196772i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.8863 | − | 22.5053i | −0.435453 | − | 0.900212i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −9.33268 | − | 45.1720i | −0.372711 | − | 1.80400i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 3.78832 | − | 6.56156i | 0.151050 | − | 0.261626i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 13.2207 | + | 22.8989i | 0.526308 | + | 0.911592i | 0.999530 | + | 0.0306488i | \(0.00975735\pi\) |
−0.473222 | + | 0.880943i | \(0.656909\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −25.3942 | + | 14.6613i | −1.00933 | + | 0.582735i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | −23.7348 | + | 39.4288i | −0.941886 | + | 1.56469i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.9542 | − | 6.32441i | 0.434021 | − | 0.250582i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 11.9780 | 0.473842 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −4.27817 | + | 7.41000i | −0.168977 | + | 0.292677i | −0.938061 | − | 0.346471i | \(-0.887380\pi\) |
0.769083 | + | 0.639149i | \(0.220713\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 24.2681 | + | 14.0112i | 0.957042 | + | 0.552548i | 0.895261 | − | 0.445541i | \(-0.146989\pi\) |
0.0617804 | + | 0.998090i | \(0.480322\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 49.0790 | + | 29.5438i | 1.93248 | + | 1.16329i | ||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 9.57376i | 0.376383i | 0.982132 | + | 0.188192i | \(0.0602626\pi\) | ||||
−0.982132 | + | 0.188192i | \(0.939737\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 0.0924936 | − | 0.160204i | 0.00363069 | − | 0.00628854i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.694367 | + | 1.20268i | −0.0272144 | + | 0.0471367i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 16.4168i | 0.642439i | 0.947005 | + | 0.321219i | \(0.104093\pi\) | ||||
−0.947005 | + | 0.321219i | \(0.895907\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0.438238 | − | 23.9914i | 0.0171234 | − | 0.937423i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 2.26801i | 0.0884837i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 7.08162 | + | 12.2657i | 0.275861 | + | 0.477805i | 0.970352 | − | 0.241697i | \(-0.0777039\pi\) |
−0.694491 | + | 0.719501i | \(0.744371\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −18.5170 | − | 32.0724i | −0.720229 | − | 1.24747i | −0.960908 | − | 0.276868i | \(-0.910704\pi\) |
0.240679 | − | 0.970605i | \(-0.422630\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 5.77452 | + | 3.33392i | 0.224264 | + | 0.129479i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 4.34552 | − | 12.3582i | 0.168512 | − | 0.479230i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −14.6178 | − | 8.43960i | −0.566004 | − | 0.326783i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −7.62324 | − | 13.2038i | −0.294732 | − | 0.510490i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 2.72453 | + | 4.71903i | 0.105179 | + | 0.182176i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − | 42.3293i | − | 1.63167i | −0.578282 | − | 0.815837i | \(-0.696277\pi\) | ||
0.578282 | − | 0.815837i | \(-0.303723\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 16.6000 | + | 10.4103i | 0.638933 | + | 0.400693i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 13.9856i | 0.537510i | 0.963209 | + | 0.268755i | \(0.0866121\pi\) | ||||
−0.963209 | + | 0.268755i | \(0.913388\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.560033 | − | 0.970005i | 0.0214921 | − | 0.0372254i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −6.91222 | + | 11.9723i | −0.264877 | + | 0.458780i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 11.6668i | 0.446416i | 0.974771 | + | 0.223208i | \(0.0716529\pi\) | ||||
−0.974771 | + | 0.223208i | \(0.928347\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −19.8106 | + | 32.9099i | −0.756925 | + | 1.25742i | ||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 38.5356 | + | 22.2486i | 1.47023 | + | 0.848835i | ||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −14.3273 | + | 24.8156i | −0.545825 | + | 0.945397i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.7886 | −0.600627 | −0.300313 | − | 0.953841i | \(-0.597091\pi\) | ||||
−0.300313 | + | 0.953841i | \(0.597091\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −6.44542 | + | 3.72127i | −0.244841 | + | 0.141359i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −14.0384 | − | 8.45062i | −0.532506 | − | 0.320550i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −6.36760 | + | 3.67633i | −0.241190 | + | 0.139251i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 2.99675 | + | 5.19053i | 0.113348 | + | 0.196324i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.64450 | − | 4.58042i | 0.0998816 | − | 0.173000i | −0.811754 | − | 0.584000i | \(-0.801487\pi\) |
0.911635 | + | 0.411000i | \(0.134820\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −18.1409 | + | 16.1478i | −0.684198 | + | 0.609025i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −12.8631 | + | 7.11648i | −0.484451 | + | 0.268022i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 17.2497 | − | 9.95913i | 0.648743 | − | 0.374552i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −12.2529 | − | 21.2226i | −0.460166 | − | 0.797031i | 0.538803 | − | 0.842432i | \(-0.318877\pi\) |
−0.998969 | + | 0.0454011i | \(0.985543\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −13.6664 | −0.512529 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −3.62075 | + | 2.09044i | −0.135598 | + | 0.0782875i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −14.7619 | + | 24.5229i | −0.552064 | + | 0.917104i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −16.9355 | − | 9.77771i | −0.632467 | − | 0.365155i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 22.4239 | − | 38.8393i | 0.836269 | − | 1.44846i | −0.0567236 | − | 0.998390i | \(-0.518065\pi\) |
0.892993 | − | 0.450071i | \(-0.148601\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.6442 | 0.470896 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | − | 37.6209i | − | 1.39914i | ||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −10.3528 | − | 0.378343i | −0.384493 | − | 0.0140513i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 28.1376 | + | 16.2453i | 1.04357 | + | 0.602504i | 0.920842 | − | 0.389937i | \(-0.127503\pi\) |
0.122726 | + | 0.992441i | \(0.460836\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | −12.0273 | −0.445457 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.65152 | − | 14.9849i | −0.319988 | − | 0.554235i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − | 11.1969i | − | 0.413568i | −0.978387 | − | 0.206784i | \(-0.933700\pi\) | ||
0.978387 | − | 0.206784i | \(-0.0662998\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 23.3776 | + | 0.427025i | 0.862294 | + | 0.0157510i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −3.49009 | + | 2.01501i | −0.128559 | + | 0.0742237i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 0.466361 | − | 0.807761i | 0.0171554 | − | 0.0297140i | −0.857320 | − | 0.514783i | \(-0.827872\pi\) |
0.874476 | + | 0.485069i | \(0.161206\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −14.2109 | − | 15.9650i | −0.522051 | − | 0.586488i | ||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 23.3370 | + | 13.4736i | 0.856153 | + | 0.494300i | 0.862722 | − | 0.505678i | \(-0.168758\pi\) |
−0.00656939 | + | 0.999978i | \(0.502091\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0.500098 | − | 27.3780i | 0.0183222 | − | 1.00305i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.83492 | + | 2.21409i | −0.140312 | + | 0.0810094i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 17.2210 | 0.629240 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.33645 | + | 4.04686i | 0.0852584 | + | 0.147672i | 0.905501 | − | 0.424343i | \(-0.139495\pi\) |
−0.820243 | + | 0.572015i | \(0.806162\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − | 8.45971i | − | 0.308289i | ||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 22.6136 | − | 12.5109i | 0.822992 | − | 0.455320i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −37.0902 | − | 21.4140i | −1.34807 | − | 0.778306i | −0.360090 | − | 0.932918i | \(-0.617254\pi\) |
−0.987975 | + | 0.154612i | \(0.950587\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −86.2073 | −3.12913 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −16.7169 | −0.605987 | −0.302994 | − | 0.952993i | \(-0.597986\pi\) | ||||
−0.302994 | + | 0.952993i | \(0.597986\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.32065 | + | 1.33983i | 0.0840131 | + | 0.0485050i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 1.55084 | + | 2.80315i | 0.0560707 | + | 0.101348i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | − | 0.0857182i | − | 0.00309511i | ||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.70852 | − | 13.3516i | −0.277976 | − | 0.481469i | 0.692905 | − | 0.721029i | \(-0.256330\pi\) |
−0.970882 | + | 0.239559i | \(0.922997\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 56.7128 | 2.04246 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −28.7343 | + | 16.5897i | −1.03350 | + | 0.596691i | −0.917985 | − | 0.396615i | \(-0.870185\pi\) |
−0.115514 | + | 0.993306i | \(0.536852\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.36332 | + | 2.17391i | −0.0489719 | + | 0.0780892i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 13.0572 | + | 7.53856i | 0.468423 | + | 0.270444i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 23.0813 | − | 4.76868i | 0.826975 | − | 0.170856i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 29.8774 | − | 51.7491i | 1.06910 | − | 1.85173i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 7.03179 | − | 4.05980i | 0.251296 | − | 0.145086i | ||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 9.25562 | + | 0.169067i | 0.330347 | + | 0.00603427i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 12.8318i | 0.457405i | 0.973496 | + | 0.228702i | \(0.0734483\pi\) | ||||
−0.973496 | + | 0.228702i | \(0.926552\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 2.72657 | + | 4.72256i | 0.0970685 | + | 0.168128i |