Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 325.1 | ||
Root | \(1.22778i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.325 |
Dual form | 729.2.e.s.406.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.20913 | + | 1.01458i | −0.854982 | + | 0.717415i | −0.960881 | − | 0.276961i | \(-0.910673\pi\) |
0.105899 | + | 0.994377i | \(0.466228\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.0853237 | − | 0.483895i | 0.0426619 | − | 0.241948i | ||||
\(5\) | −1.57728 | + | 0.574083i | −0.705382 | + | 0.256738i | −0.669707 | − | 0.742626i | \(-0.733580\pi\) |
−0.0356747 | + | 0.999363i | \(0.511358\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.482617 | + | 2.73706i | 0.182412 | + | 1.03451i | 0.929235 | + | 0.369488i | \(0.120467\pi\) |
−0.746823 | + | 0.665023i | \(0.768422\pi\) | |||||||
\(8\) | −1.19062 | − | 2.06222i | −0.420948 | − | 0.729104i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.32468 | − | 2.29442i | 0.418901 | − | 0.725558i | ||||
\(11\) | 3.90087 | + | 1.41980i | 1.17616 | + | 0.428086i | 0.854843 | − | 0.518886i | \(-0.173653\pi\) |
0.321314 | + | 0.946973i | \(0.395875\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.26736 | + | 4.41984i | 1.46090 | + | 1.22584i | 0.924110 | + | 0.382128i | \(0.124809\pi\) |
0.536792 | + | 0.843715i | \(0.319636\pi\) | |||||||
\(14\) | −3.36051 | − | 2.81980i | −0.898133 | − | 0.753623i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 4.45535 | + | 1.62162i | 1.11384 | + | 0.405404i | ||||
\(17\) | −0.488276 | + | 0.845718i | −0.118424 | + | 0.205117i | −0.919143 | − | 0.393923i | \(-0.871118\pi\) |
0.800719 | + | 0.599040i | \(0.204451\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.34264 | − | 2.32553i | −0.308024 | − | 0.533513i | 0.669906 | − | 0.742446i | \(-0.266334\pi\) |
−0.977930 | + | 0.208933i | \(0.933001\pi\) | |||||||
\(20\) | 0.143217 | + | 0.812221i | 0.0320242 | + | 0.181618i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.15715 | + | 2.24102i | −1.31271 | + | 0.477787i | ||||
\(23\) | 0.280124 | − | 1.58866i | 0.0584099 | − | 0.331259i | −0.941575 | − | 0.336804i | \(-0.890654\pi\) |
0.999985 | + | 0.00554518i | \(0.00176509\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.67198 | + | 1.40296i | −0.334396 | + | 0.280591i | ||||
\(26\) | −10.8532 | −2.12848 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.36563 | 0.258079 | ||||||||
\(29\) | −6.30292 | + | 5.28878i | −1.17042 | + | 0.982101i | −0.999995 | − | 0.00326885i | \(-0.998959\pi\) |
−0.170428 | + | 0.985370i | \(0.554515\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.181301 | − | 1.02821i | 0.0325626 | − | 0.184672i | −0.964188 | − | 0.265219i | \(-0.914556\pi\) |
0.996751 | + | 0.0805475i | \(0.0256669\pi\) | |||||||
\(32\) | −2.55707 | + | 0.930697i | −0.452030 | + | 0.164526i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −0.267660 | − | 1.51798i | −0.0459033 | − | 0.260331i | ||||
\(35\) | −2.33252 | − | 4.04005i | −0.394268 | − | 0.682893i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 0.654172 | − | 1.13306i | 0.107545 | − | 0.186274i | −0.807230 | − | 0.590237i | \(-0.799034\pi\) |
0.914775 | + | 0.403963i | \(0.132368\pi\) | |||||||
\(38\) | 3.98286 | + | 1.44964i | 0.646105 | + | 0.235163i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 3.06183 | + | 2.56918i | 0.484118 | + | 0.406223i | ||||
\(41\) | −3.71391 | − | 3.11634i | −0.580016 | − | 0.486691i | 0.304936 | − | 0.952373i | \(-0.401365\pi\) |
−0.884952 | + | 0.465682i | \(0.845809\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −9.24679 | − | 3.36556i | −1.41012 | − | 0.513243i | −0.478957 | − | 0.877839i | \(-0.658985\pi\) |
−0.931166 | + | 0.364596i | \(0.881207\pi\) | |||||||
\(44\) | 1.01987 | − | 1.76647i | 0.153751 | − | 0.266305i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.27312 | + | 2.20510i | 0.187711 | + | 0.325125i | ||||
\(47\) | 2.17020 | + | 12.3078i | 0.316557 | + | 1.79528i | 0.563355 | + | 0.826215i | \(0.309510\pi\) |
−0.246798 | + | 0.969067i | \(0.579379\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −0.680721 | + | 0.247762i | −0.0972458 | + | 0.0353946i | ||||
\(50\) | 0.598226 | − | 3.39271i | 0.0846019 | − | 0.479801i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.58817 | − | 2.17173i | 0.358914 | − | 0.301165i | ||||
\(53\) | 7.34280 | 1.00861 | 0.504305 | − | 0.863525i | \(-0.331749\pi\) | ||||
0.504305 | + | 0.863525i | \(0.331749\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −6.96786 | −0.939546 | ||||||||
\(56\) | 5.06980 | − | 4.25406i | 0.677480 | − | 0.568473i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.25515 | − | 12.7896i | 0.296116 | − | 1.67936i | ||||
\(59\) | −8.50598 | + | 3.09592i | −1.10738 | + | 0.403055i | −0.830033 | − | 0.557714i | \(-0.811679\pi\) |
−0.277351 | + | 0.960769i | \(0.589456\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.223267 | − | 1.26621i | −0.0285864 | − | 0.162121i | 0.967173 | − | 0.254120i | \(-0.0817857\pi\) |
−0.995759 | + | 0.0919982i | \(0.970675\pi\) | |||||||
\(62\) | 0.823982 | + | 1.42718i | 0.104646 | + | 0.181252i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −2.59373 | + | 4.49247i | −0.324216 | + | 0.561558i | ||||
\(65\) | −10.8455 | − | 3.94742i | −1.34521 | − | 0.489618i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −3.55927 | − | 2.98658i | −0.434834 | − | 0.364869i | 0.398938 | − | 0.916978i | \(-0.369379\pi\) |
−0.833772 | + | 0.552109i | \(0.813823\pi\) | |||||||
\(68\) | 0.367577 | + | 0.308434i | 0.0445753 | + | 0.0374031i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 6.91926 | + | 2.51841i | 0.827010 | + | 0.301007i | ||||
\(71\) | −2.81187 | + | 4.87030i | −0.333707 | + | 0.577998i | −0.983236 | − | 0.182339i | \(-0.941633\pi\) |
0.649528 | + | 0.760337i | \(0.274966\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.28072 | + | 3.95033i | 0.266938 | + | 0.462351i | 0.968070 | − | 0.250681i | \(-0.0806547\pi\) |
−0.701131 | + | 0.713032i | \(0.747321\pi\) | |||||||
\(74\) | 0.358600 | + | 2.03372i | 0.0416864 | + | 0.236416i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.23987 | + | 0.451276i | −0.142223 | + | 0.0517649i | ||||
\(77\) | −2.00345 | + | 11.3621i | −0.228314 | + | 1.29484i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 3.56732 | − | 2.99333i | 0.401354 | − | 0.336776i | −0.419662 | − | 0.907680i | \(-0.637852\pi\) |
0.821017 | + | 0.570904i | \(0.193407\pi\) | |||||||
\(80\) | −7.95828 | −0.889763 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 7.65237 | 0.845063 | ||||||||
\(83\) | 4.41578 | − | 3.70528i | 0.484695 | − | 0.406707i | −0.367426 | − | 0.930053i | \(-0.619761\pi\) |
0.852121 | + | 0.523346i | \(0.175316\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0.284635 | − | 1.61425i | 0.0308730 | − | 0.175090i | ||||
\(86\) | 14.5952 | − | 5.31221i | 1.57384 | − | 0.572830i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.71652 | − | 9.73490i | −0.182982 | − | 1.03774i | ||||
\(89\) | −2.27221 | − | 3.93558i | −0.240854 | − | 0.417171i | 0.720104 | − | 0.693866i | \(-0.244094\pi\) |
−0.960958 | + | 0.276695i | \(0.910761\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.55523 | + | 16.5502i | −1.00166 | + | 1.73493i | ||||
\(92\) | −0.744844 | − | 0.271101i | −0.0776554 | − | 0.0282643i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −15.1113 | − | 12.6799i | −1.55861 | − | 1.30783i | ||||
\(95\) | 3.45278 | + | 2.89722i | 0.354247 | + | 0.297249i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.05828 | − | 2.93297i | −0.818194 | − | 0.297798i | −0.101190 | − | 0.994867i | \(-0.532265\pi\) |
−0.717004 | + | 0.697069i | \(0.754487\pi\) | |||||||
\(98\) | 0.571704 | − | 0.990221i | 0.0577508 | − | 0.100027i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.536224 | + | 0.928767i | 0.0536224 | + | 0.0928767i | ||||
\(101\) | −1.35545 | − | 7.68712i | −0.134872 | − | 0.764897i | −0.974949 | − | 0.222429i | \(-0.928601\pi\) |
0.840077 | − | 0.542467i | \(-0.182510\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.03551 | − | 0.740866i | 0.200565 | − | 0.0729997i | −0.239784 | − | 0.970826i | \(-0.577077\pi\) |
0.440349 | + | 0.897826i | \(0.354855\pi\) | |||||||
\(104\) | 2.84324 | − | 16.1248i | 0.278802 | − | 1.58117i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −8.87838 | + | 7.44984i | −0.862344 | + | 0.723593i | ||||
\(107\) | 12.5849 | 1.21663 | 0.608317 | − | 0.793695i | \(-0.291845\pi\) | ||||
0.608317 | + | 0.793695i | \(0.291845\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −12.2140 | −1.16989 | −0.584945 | − | 0.811073i | \(-0.698884\pi\) | ||||
−0.584945 | + | 0.811073i | \(0.698884\pi\) | |||||||
\(110\) | 8.42503 | − | 7.06944i | 0.803295 | − | 0.674045i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.28823 | + | 12.9772i | −0.216217 | + | 1.22623i | ||||
\(113\) | −0.423644 | + | 0.154194i | −0.0398531 | + | 0.0145053i | −0.361870 | − | 0.932229i | \(-0.617862\pi\) |
0.322017 | + | 0.946734i | \(0.395639\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.470190 | + | 2.66658i | 0.0438455 | + | 0.248660i | ||||
\(116\) | 2.02142 | + | 3.50121i | 0.187685 | + | 0.325079i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.14376 | − | 12.3734i | 0.657636 | − | 1.13906i | ||||
\(119\) | −2.55043 | − | 0.928281i | −0.233798 | − | 0.0850954i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.77448 | + | 4.00627i | 0.434044 | + | 0.364206i | ||||
\(122\) | 1.55463 | + | 1.30449i | 0.140749 | + | 0.118103i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −0.482075 | − | 0.175461i | −0.0432916 | − | 0.0157569i | ||||
\(125\) | 6.02803 | − | 10.4409i | 0.539164 | − | 0.933859i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.265534 | + | 0.459919i | 0.0235624 | + | 0.0408112i | 0.877566 | − | 0.479456i | \(-0.159166\pi\) |
−0.854004 | + | 0.520267i | \(0.825833\pi\) | |||||||
\(128\) | −2.36687 | − | 13.4232i | −0.209204 | − | 1.18645i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 17.1185 | − | 6.23063i | 1.50139 | − | 0.546462i | ||||
\(131\) | −1.98237 | + | 11.2426i | −0.173201 | + | 0.982271i | 0.766999 | + | 0.641648i | \(0.221749\pi\) |
−0.940200 | + | 0.340623i | \(0.889362\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 5.71712 | − | 4.79724i | 0.495738 | − | 0.415973i | ||||
\(134\) | 7.33374 | 0.633539 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.32541 | 0.199402 | ||||||||
\(137\) | −3.23979 | + | 2.71850i | −0.276794 | + | 0.232257i | −0.770607 | − | 0.637310i | \(-0.780047\pi\) |
0.493814 | + | 0.869568i | \(0.335603\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −1.93714 | + | 10.9861i | −0.164306 | + | 0.931825i | 0.785471 | + | 0.618898i | \(0.212421\pi\) |
−0.949777 | + | 0.312927i | \(0.898691\pi\) | |||||||
\(140\) | −2.15398 | + | 0.783984i | −0.182044 | + | 0.0662588i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.54139 | − | 8.74167i | −0.129351 | − | 0.733585i | ||||
\(143\) | 14.2720 | + | 24.7198i | 1.19348 | + | 2.06718i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 6.90528 | − | 11.9603i | 0.573452 | − | 0.993248i | ||||
\(146\) | −6.76560 | − | 2.46248i | −0.559925 | − | 0.203796i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.492465 | − | 0.413228i | −0.0404804 | − | 0.0339671i | ||||
\(149\) | 14.9208 | + | 12.5200i | 1.22236 | + | 1.02568i | 0.998698 | + | 0.0510127i | \(0.0162449\pi\) |
0.223660 | + | 0.974667i | \(0.428200\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.16791 | + | 0.425083i | 0.0950429 | + | 0.0345928i | 0.389104 | − | 0.921194i | \(-0.372785\pi\) |
−0.294061 | + | 0.955787i | \(0.595007\pi\) | |||||||
\(152\) | −3.19716 | + | 5.53765i | −0.259324 | + | 0.449163i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −9.10535 | − | 15.7709i | −0.733730 | − | 1.27086i | ||||
\(155\) | 0.304315 | + | 1.72585i | 0.0244431 | + | 0.138624i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.32007 | − | 1.20840i | 0.264970 | − | 0.0964412i | −0.206119 | − | 0.978527i | \(-0.566083\pi\) |
0.471089 | + | 0.882086i | \(0.343861\pi\) | |||||||
\(158\) | −1.27637 | + | 7.23865i | −0.101542 | + | 0.575876i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 3.49892 | − | 2.93594i | 0.276614 | − | 0.232107i | ||||
\(161\) | 4.48345 | 0.353346 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 15.9509 | 1.24937 | 0.624685 | − | 0.780877i | \(-0.285228\pi\) | ||||
0.624685 | + | 0.780877i | \(0.285228\pi\) | |||||||
\(164\) | −1.82487 | + | 1.53125i | −0.142498 | + | 0.119570i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.57994 | + | 8.96031i | −0.122628 | + | 0.695455i | ||||
\(167\) | 13.6111 | − | 4.95404i | 1.05326 | − | 0.383355i | 0.243368 | − | 0.969934i | \(-0.421748\pi\) |
0.809892 | + | 0.586579i | \(0.199526\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.95266 | + | 33.7592i | 0.457897 | + | 2.59686i | ||||
\(170\) | 1.29362 | + | 2.24061i | 0.0992161 | + | 0.171847i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −2.41755 | + | 4.18731i | −0.184336 | + | 0.319280i | ||||
\(173\) | 11.8565 | + | 4.31540i | 0.901431 | + | 0.328094i | 0.750826 | − | 0.660500i | \(-0.229656\pi\) |
0.150605 | + | 0.988594i | \(0.451878\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.64690 | − | 3.89921i | −0.351272 | − | 0.294753i | ||||
\(176\) | 15.0774 | + | 12.6514i | 1.13650 | + | 0.953637i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 6.74035 | + | 2.45329i | 0.505211 | + | 0.183882i | ||||
\(179\) | 0.147949 | − | 0.256256i | 0.0110582 | − | 0.0191534i | −0.860443 | − | 0.509546i | \(-0.829813\pi\) |
0.871502 | + | 0.490393i | \(0.163147\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.710251 | − | 1.23019i | −0.0527925 | − | 0.0914393i | 0.838421 | − | 0.545022i | \(-0.183479\pi\) |
−0.891214 | + | 0.453583i | \(0.850146\pi\) | |||||||
\(182\) | −5.23793 | − | 29.7058i | −0.388261 | − | 2.20194i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.60969 | + | 1.31382i | −0.266110 | + | 0.0968560i | ||||
\(185\) | −0.381343 | + | 2.16270i | −0.0280369 | + | 0.159005i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.10545 | + | 2.60578i | −0.227093 | + | 0.190554i | ||||
\(188\) | 6.14087 | 0.447869 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −7.11431 | −0.516126 | ||||||||
\(191\) | −15.7990 | + | 13.2569i | −1.14317 | + | 0.959236i | −0.999538 | − | 0.0303946i | \(-0.990324\pi\) |
−0.143635 | + | 0.989631i | \(0.545879\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −3.63896 | + | 20.6376i | −0.261938 | + | 1.48552i | 0.515676 | + | 0.856784i | \(0.327541\pi\) |
−0.777614 | + | 0.628741i | \(0.783570\pi\) | |||||||
\(194\) | 12.7192 | − | 4.62942i | 0.913187 | − | 0.332373i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0.0618092 | + | 0.350537i | 0.00441494 | + | 0.0250384i | ||||
\(197\) | −4.79810 | − | 8.31056i | −0.341851 | − | 0.592103i | 0.642926 | − | 0.765929i | \(-0.277720\pi\) |
−0.984776 | + | 0.173826i | \(0.944387\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 5.34583 | − | 9.25925i | 0.378956 | − | 0.656371i | −0.611955 | − | 0.790893i | \(-0.709616\pi\) |
0.990911 | + | 0.134522i | \(0.0429498\pi\) | |||||||
\(200\) | 4.88389 | + | 1.77759i | 0.345344 | + | 0.125695i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 9.43809 | + | 7.91950i | 0.664062 | + | 0.557214i | ||||
\(203\) | −17.5176 | − | 14.6990i | −1.22949 | − | 1.03167i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.64693 | + | 2.78325i | 0.534085 | + | 0.194391i | ||||
\(206\) | −1.70953 | + | 2.96099i | −0.119108 | + | 0.206302i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 16.3006 | + | 28.2335i | 1.13025 | + | 1.95764i | ||||
\(209\) | −1.93570 | − | 10.9779i | −0.133895 | − | 0.759356i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 14.1426 | − | 5.14749i | 0.973617 | − | 0.354367i | 0.194261 | − | 0.980950i | \(-0.437769\pi\) |
0.779355 | + | 0.626582i | \(0.215547\pi\) | |||||||
\(212\) | 0.626515 | − | 3.55314i | 0.0430292 | − | 0.244031i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −15.2168 | + | 12.7684i | −1.04020 | + | 0.872831i | ||||
\(215\) | 16.5169 | 1.12644 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.90176 | 0.196984 | ||||||||
\(218\) | 14.7683 | − | 12.3921i | 1.00023 | − | 0.839296i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.594524 | + | 3.37171i | −0.0400828 | + | 0.227321i | ||||
\(221\) | −6.30986 | + | 2.29660i | −0.424447 | + | 0.154486i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −2.13381 | − | 12.1014i | −0.142890 | − | 0.810371i | −0.969037 | − | 0.246916i | \(-0.920583\pi\) |
0.826147 | − | 0.563455i | \(-0.190528\pi\) | |||||||
\(224\) | −3.78146 | − | 6.54968i | −0.252659 | − | 0.437619i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0.355798 | − | 0.616261i | 0.0236674 | − | 0.0409931i | ||||
\(227\) | 3.52625 | + | 1.28345i | 0.234046 | + | 0.0851856i | 0.456380 | − | 0.889785i | \(-0.349146\pi\) |
−0.222335 | + | 0.974970i | \(0.571368\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −14.2503 | − | 11.9574i | −0.941685 | − | 0.790168i | 0.0361925 | − | 0.999345i | \(-0.488477\pi\) |
−0.977878 | + | 0.209177i | \(0.932921\pi\) | |||||||
\(230\) | −3.27398 | − | 2.74719i | −0.215880 | − | 0.181145i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 18.4110 | + | 6.70106i | 1.20874 | + | 0.439946i | ||||
\(233\) | 0.272892 | − | 0.472663i | 0.0178777 | − | 0.0309652i | −0.856948 | − | 0.515403i | \(-0.827642\pi\) |
0.874826 | + | 0.484438i | \(0.160976\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −10.4887 | − | 18.1670i | −0.684210 | − | 1.18509i | ||||
\(236\) | 0.772340 | + | 4.38016i | 0.0502750 | + | 0.285124i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 4.02561 | − | 1.46520i | 0.260942 | − | 0.0949750i | ||||
\(239\) | 3.48942 | − | 19.7895i | 0.225712 | − | 1.28007i | −0.635609 | − | 0.772011i | \(-0.719251\pi\) |
0.861320 | − | 0.508062i | \(-0.169638\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 11.7138 | − | 9.82906i | 0.754553 | − | 0.633145i | −0.182150 | − | 0.983271i | \(-0.558305\pi\) |
0.936703 | + | 0.350125i | \(0.113861\pi\) | |||||||
\(242\) | −9.83763 | −0.632387 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −0.631762 | −0.0404444 | ||||||||
\(245\) | 0.931452 | − | 0.781581i | 0.0595083 | − | 0.0499334i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.20627 | − | 18.1837i | 0.204010 | − | 1.15700i | ||||
\(248\) | −2.33625 | + | 0.850325i | −0.148352 | + | 0.0539957i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.30441 | + | 18.7403i | 0.208989 | + | 1.18524i | ||||
\(251\) | 6.37816 | + | 11.0473i | 0.402586 | + | 0.697299i | 0.994037 | − | 0.109042i | \(-0.0347782\pi\) |
−0.591451 | + | 0.806341i | \(0.701445\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 3.34831 | − | 5.79945i | 0.210507 | − | 0.364608i | ||||
\(254\) | −0.787689 | − | 0.286695i | −0.0494240 | − | 0.0179889i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 8.53308 | + | 7.16010i | 0.533317 | + | 0.447506i | ||||
\(257\) | 10.0388 | + | 8.42354i | 0.626202 | + | 0.525446i | 0.899746 | − | 0.436413i | \(-0.143751\pi\) |
−0.273544 | + | 0.961860i | \(0.588196\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 3.41697 | + | 1.24367i | 0.212320 | + | 0.0772781i | ||||
\(260\) | −2.83551 | + | 4.91125i | −0.175851 | + | 0.304583i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −9.00956 | − | 15.6050i | −0.556613 | − | 0.964081i | ||||
\(263\) | 1.65212 | + | 9.36963i | 0.101874 | + | 0.577756i | 0.992423 | + | 0.122869i | \(0.0392094\pi\) |
−0.890549 | + | 0.454888i | \(0.849679\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −11.5817 | + | 4.21538i | −0.711455 | + | 0.258949i | ||||
\(266\) | −2.04556 | + | 11.6009i | −0.125421 | + | 0.711299i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −1.74888 | + | 1.46749i | −0.106830 | + | 0.0896411i | ||||
\(269\) | −22.1408 | −1.34995 | −0.674973 | − | 0.737842i | \(-0.735845\pi\) | ||||
−0.674973 | + | 0.737842i | \(0.735845\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 27.9627 | 1.69861 | 0.849307 | − | 0.527899i | \(-0.177020\pi\) | ||||
0.849307 | + | 0.527899i | \(0.177020\pi\) | |||||||
\(272\) | −3.54687 | + | 2.97618i | −0.215060 | + | 0.180457i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 1.15918 | − | 6.57404i | 0.0700286 | − | 0.397152i | ||||
\(275\) | −8.51409 | + | 3.09888i | −0.513419 | + | 0.186869i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.27912 | − | 18.5968i | −0.197023 | − | 1.11737i | −0.909508 | − | 0.415686i | \(-0.863542\pi\) |
0.712485 | − | 0.701687i | \(-0.247570\pi\) | |||||||
\(278\) | −8.80397 | − | 15.2489i | −0.528027 | − | 0.914569i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −5.55431 | + | 9.62034i | −0.331933 | + | 0.574925i | ||||
\(281\) | −18.7955 | − | 6.84100i | −1.12125 | − | 0.408100i | −0.286139 | − | 0.958188i | \(-0.592372\pi\) |
−0.835106 | + | 0.550088i | \(0.814594\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 12.8274 | + | 10.7635i | 0.762512 | + | 0.639824i | 0.938780 | − | 0.344519i | \(-0.111958\pi\) |
−0.176267 | + | 0.984342i | \(0.556402\pi\) | |||||||
\(284\) | 2.11679 | + | 1.77620i | 0.125609 | + | 0.105398i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −42.3369 | − | 15.4094i | −2.50343 | − | 0.911175i | ||||
\(287\) | 6.73722 | − | 11.6692i | 0.397685 | − | 0.688811i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.02317 | + | 13.8965i | 0.471951 | + | 0.817444i | ||||
\(290\) | 3.78529 | + | 21.4675i | 0.222280 | + | 1.26061i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 2.10614 | − | 0.766573i | 0.123253 | − | 0.0448603i | ||||
\(293\) | −3.39864 | + | 19.2747i | −0.198551 | + | 1.12604i | 0.708720 | + | 0.705490i | \(0.249273\pi\) |
−0.907271 | + | 0.420548i | \(0.861838\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.6390 | − | 9.76628i | 0.677649 | − | 0.568615i | ||||
\(296\) | −3.11549 | −0.181084 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.7437 | −1.78093 | ||||||||
\(299\) | 8.49714 | − | 7.12995i | 0.491402 | − | 0.412335i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 4.74906 | − | 26.9333i | 0.273731 | − | 1.55241i | ||||
\(302\) | −1.84343 | + | 0.670953i | −0.106077 | + | 0.0386090i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.21084 | − | 12.5383i | −0.126800 | − | 0.719121i | ||||
\(305\) | 1.07906 | + | 1.86899i | 0.0617870 | + | 0.107018i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −7.44973 | + | 12.9033i | −0.425179 | + | 0.736431i | −0.996437 | − | 0.0843392i | \(-0.973122\pi\) |
0.571258 | + | 0.820770i | \(0.306455\pi\) | |||||||
\(308\) | 5.32714 | + | 1.93892i | 0.303542 | + | 0.110480i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −2.11897 | − | 1.77803i | −0.120349 | − | 0.100985i | ||||
\(311\) | −3.51795 | − | 2.95191i | −0.199485 | − | 0.167388i | 0.537573 | − | 0.843217i | \(-0.319341\pi\) |
−0.737058 | + | 0.675829i | \(0.763786\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −11.1529 | − | 4.05933i | −0.630400 | − | 0.229447i | 0.00700533 | − | 0.999975i | \(-0.497770\pi\) |
−0.637405 | + | 0.770529i | \(0.719992\pi\) | |||||||
\(314\) | −2.78836 | + | 4.82958i | −0.157356 | + | 0.272549i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −1.14408 | − | 1.98161i | −0.0643597 | − | 0.111474i | ||||
\(317\) | 2.52091 | + | 14.2968i | 0.141588 | + | 0.802988i | 0.970043 | + | 0.242932i | \(0.0781092\pi\) |
−0.828455 | + | 0.560056i | \(0.810780\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −32.0959 | + | 11.6820i | −1.79703 | + | 0.654064i | ||||
\(320\) | 1.51199 | − | 8.57490i | 0.0845226 | − | 0.479351i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.42107 | + | 4.54882i | −0.302104 | + | 0.253496i | ||||
\(323\) | 2.62232 | 0.145910 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −15.0077 | −0.832480 | ||||||||
\(326\) | −19.2867 | + | 16.1834i | −1.06819 | + | 0.896317i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −2.00471 | + | 11.3693i | −0.110692 | + | 0.627764i | ||||
\(329\) | −32.6399 | + | 11.8799i | −1.79949 | + | 0.654963i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −1.40754 | − | 7.98256i | −0.0773654 | − | 0.438761i | −0.998744 | − | 0.0500957i | \(-0.984047\pi\) |
0.921379 | − | 0.388665i | \(-0.127064\pi\) | |||||||
\(332\) | −1.41620 | − | 2.45292i | −0.0777238 | − | 0.134622i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −11.4313 | + | 19.7996i | −0.625494 | + | 1.08339i | ||||
\(335\) | 7.32852 | + | 2.66736i | 0.400400 | + | 0.145734i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −14.4077 | − | 12.0895i | −0.784839 | − | 0.658558i | 0.159623 | − | 0.987178i | \(-0.448972\pi\) |
−0.944462 | + | 0.328620i | \(0.893417\pi\) | |||||||
\(338\) | −41.4489 | − | 34.7798i | −2.25452 | − | 1.89177i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.756840 | − | 0.275467i | −0.0410454 | − | 0.0149393i | ||||
\(341\) | 2.16708 | − | 3.75350i | 0.117354 | − | 0.203263i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 8.72082 | + | 15.1049i | 0.470880 | + | 0.815588i | ||||
\(344\) | 4.06892 | + | 23.0760i | 0.219382 | + | 1.24417i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −18.7143 | + | 6.81145i | −1.00609 | + | 0.366186i | ||||
\(347\) | 3.05927 | − | 17.3500i | 0.164230 | − | 0.931396i | −0.785624 | − | 0.618704i | \(-0.787658\pi\) |
0.949855 | − | 0.312692i | \(-0.101231\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −13.0146 | + | 10.9205i | −0.696653 | + | 0.584561i | −0.920819 | − | 0.389990i | \(-0.872479\pi\) |
0.224166 | + | 0.974551i | \(0.428034\pi\) | |||||||
\(350\) | 9.57475 | 0.511792 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −11.2962 | −0.602090 | ||||||||
\(353\) | 11.6099 | − | 9.74183i | 0.617931 | − | 0.518505i | −0.279222 | − | 0.960227i | \(-0.590076\pi\) |
0.897152 | + | 0.441721i | \(0.145632\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.63915 | − | 9.29607i | 0.0869970 | − | 0.493384i | ||||
\(356\) | −2.09828 | + | 0.763712i | −0.111209 | + | 0.0404767i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0.0811020 | + | 0.459952i | 0.00428637 | + | 0.0243092i | ||||
\(359\) | 1.22548 | + | 2.12259i | 0.0646783 | + | 0.112026i | 0.896551 | − | 0.442940i | \(-0.146065\pi\) |
−0.831873 | + | 0.554966i | \(0.812731\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.89461 | − | 10.2098i | 0.310243 | − | 0.537356i | ||||
\(362\) | 2.10691 | + | 0.766852i | 0.110737 | + | 0.0403049i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 7.19325 | + | 6.03585i | 0.377029 | + | 0.316365i | ||||
\(365\) | −5.86516 | − | 4.92145i | −0.306996 | − | 0.257600i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.23432 | + | 0.449255i | 0.0644309 | + | 0.0234509i | 0.374035 | − | 0.927415i | \(-0.377974\pi\) |
−0.309604 | + | 0.950866i | \(0.600196\pi\) | |||||||
\(368\) | 3.82425 | − | 6.62379i | 0.199353 | − | 0.345289i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −1.73314 | − | 3.00189i | −0.0901017 | − | 0.156061i | ||||
\(371\) | 3.54376 | + | 20.0977i | 0.183983 | + | 1.04342i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 9.04564 | − | 3.29234i | 0.468366 | − | 0.170471i | −0.0970463 | − | 0.995280i | \(-0.530939\pi\) |
0.565412 | + | 0.824809i | \(0.308717\pi\) | |||||||
\(374\) | 1.11112 | − | 6.30145i | 0.0574544 | − | 0.325840i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 22.7975 | − | 19.1294i | 1.17569 | − | 0.986524i | ||||
\(377\) | −56.5753 | −2.91377 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −8.56311 | −0.439857 | −0.219929 | − | 0.975516i | \(-0.570582\pi\) | ||||
−0.219929 | + | 0.975516i | \(0.570582\pi\) | |||||||
\(380\) | 1.69656 | − | 1.42358i | 0.0870314 | − | 0.0730281i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 5.65279 | − | 32.0586i | 0.289222 | − | 1.64026i | ||||
\(383\) | 31.6062 | − | 11.5037i | 1.61500 | − | 0.587813i | 0.632581 | − | 0.774494i | \(-0.281995\pi\) |
0.982420 | + | 0.186681i | \(0.0597732\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −3.36281 | − | 19.0714i | −0.171385 | − | 0.971970i | ||||
\(386\) | −16.5385 | − | 28.6455i | −0.841786 | − | 1.45802i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −2.10681 | + | 3.64911i | −0.106957 | + | 0.185255i | ||||
\(389\) | −14.0521 | − | 5.11456i | −0.712472 | − | 0.259319i | −0.0397455 | − | 0.999210i | \(-0.512655\pi\) |
−0.672727 | + | 0.739891i | \(0.734877\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.20678 | + | 1.01261i | 0.0610296 | + | 0.0512099i | ||||
\(392\) | 1.32142 | + | 1.10880i | 0.0667418 | + | 0.0560030i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 14.2332 | + | 5.18048i | 0.717060 | + | 0.260989i | ||||
\(395\) | −3.90824 | + | 6.76927i | −0.196645 | + | 0.340599i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 8.38938 | + | 14.5308i | 0.421051 | + | 0.729282i | 0.996043 | − | 0.0888774i | \(-0.0283279\pi\) |
−0.574991 | + | 0.818159i | \(0.694995\pi\) | |||||||
\(398\) | 2.93045 | + | 16.6194i | 0.146890 | + | 0.833055i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −9.72430 | + | 3.53936i | −0.486215 | + | 0.176968i | ||||
\(401\) | −2.27936 | + | 12.9269i | −0.113826 | + | 0.645537i | 0.873499 | + | 0.486825i | \(0.161845\pi\) |
−0.987325 | + | 0.158712i | \(0.949266\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 5.49948 | − | 4.61462i | 0.273949 | − | 0.229870i | ||||
\(404\) | −3.83541 | −0.190819 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 36.0943 | 1.79133 | ||||||||
\(407\) | 4.16056 | − | 3.49113i | 0.206231 | − | 0.173049i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 4.41943 | − | 25.0639i | 0.218527 | − | 1.23933i | −0.656153 | − | 0.754628i | \(-0.727818\pi\) |
0.874680 | − | 0.484700i | \(-0.161071\pi\) | |||||||
\(410\) | −12.0699 | + | 4.39310i | −0.596092 | + | 0.216960i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.184824 | − | 1.04819i | −0.00910561 | − | 0.0516405i | ||||
\(413\) | −12.5789 | − | 21.7872i | −0.618965 | − | 1.07208i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −4.83779 | + | 8.37929i | −0.237478 | + | 0.411323i | ||||
\(416\) | −17.5825 | − | 6.39952i | −0.862054 | − | 0.313762i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.4784 | + | 11.3097i | 0.659251 | + | 0.553178i | ||||
\(419\) | 9.70582 | + | 8.14415i | 0.474160 | + | 0.397868i | 0.848309 | − | 0.529501i | \(-0.177621\pi\) |
−0.374149 | + | 0.927369i | \(0.622065\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 16.6112 | + | 6.04597i | 0.809579 | + | 0.294663i | 0.713450 | − | 0.700706i | \(-0.247132\pi\) |
0.0961292 | + | 0.995369i | \(0.469354\pi\) | |||||||
\(422\) | −11.8777 | + | 20.5727i | −0.578196 | + | 1.00147i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.74249 | − | 15.1424i | −0.424573 | − | 0.735382i | ||||
\(425\) | −0.370119 | − | 2.09905i | −0.0179534 | − | 0.101819i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3.35793 | − | 1.22219i | 0.162502 | − | 0.0591458i | ||||
\(428\) | 1.07380 | − | 6.08979i | 0.0519038 | − | 0.294361i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −19.9710 | + | 16.7577i | −0.963089 | + | 0.808128i | ||||
\(431\) | −15.6974 | −0.756117 | −0.378059 | − | 0.925782i | \(-0.623408\pi\) | ||||
−0.378059 | + | 0.925782i | \(0.623408\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −12.6258 | −0.606759 | −0.303380 | − | 0.952870i | \(-0.598115\pi\) | ||||
−0.303380 | + | 0.952870i | \(0.598115\pi\) | |||||||
\(434\) | −3.50860 | + | 2.94407i | −0.168418 | + | 0.141320i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −1.04214 | + | 5.91029i | −0.0499097 | + | 0.283052i | ||||
\(437\) | −4.07059 | + | 1.48157i | −0.194723 | + | 0.0708732i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 4.67755 | + | 26.5277i | 0.223247 | + | 1.26610i | 0.866008 | + | 0.500030i | \(0.166678\pi\) |
−0.642761 | + | 0.766067i | \(0.722211\pi\) | |||||||
\(440\) | 8.29608 | + | 14.3692i | 0.395500 | + | 0.685027i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.29934 | − | 9.17873i | 0.252064 | − | 0.436588i | ||||
\(443\) | 32.6335 | + | 11.8776i | 1.55047 | + | 0.564324i | 0.968527 | − | 0.248908i | \(-0.0800718\pi\) |
0.581940 | + | 0.813232i | \(0.302294\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.84327 | + | 4.90308i | 0.276997 | + | 0.232428i | ||||
\(446\) | 14.8579 | + | 12.4673i | 0.703542 | + | 0.590342i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −13.5479 | − | 4.93104i | −0.640079 | − | 0.232970i | ||||
\(449\) | −10.3731 | + | 17.9667i | −0.489535 | + | 0.847900i | −0.999927 | − | 0.0120419i | \(-0.996167\pi\) |
0.510392 | + | 0.859942i | \(0.329500\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −10.0629 | − | 17.4295i | −0.473844 | − | 0.820722i | ||||
\(452\) | 0.0384668 | + | 0.218156i | 0.00180932 | + | 0.0102612i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −5.56585 | + | 2.02580i | −0.261218 | + | 0.0950757i | ||||
\(455\) | 5.57012 | − | 31.5897i | 0.261131 | − | 1.48095i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −5.52144 | + | 4.63304i | −0.258282 | + | 0.216725i | −0.762729 | − | 0.646718i | \(-0.776141\pi\) |
0.504447 | + | 0.863443i | \(0.331697\pi\) | |||||||
\(458\) | 29.3621 | 1.37200 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 1.33046 | 0.0620332 | ||||||||
\(461\) | −17.7162 | + | 14.8656i | −0.825125 | + | 0.692362i | −0.954166 | − | 0.299277i | \(-0.903254\pi\) |
0.129041 | + | 0.991639i | \(0.458810\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 0.864046 | − | 4.90025i | 0.0401556 | − | 0.227734i | −0.958125 | − | 0.286350i | \(-0.907558\pi\) |
0.998281 | + | 0.0586166i | \(0.0186690\pi\) | |||||||
\(464\) | −36.6581 | + | 13.3424i | −1.70181 | + | 0.619408i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.149592 | + | 0.848380i | 0.00692973 | + | 0.0393004i | ||||
\(467\) | −6.24068 | − | 10.8092i | −0.288784 | − | 0.500189i | 0.684735 | − | 0.728792i | \(-0.259918\pi\) |
−0.973520 | + | 0.228602i | \(0.926584\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 6.45669 | − | 11.1833i | 0.298142 | − | 0.516397i | ||||
\(470\) | 31.1141 | + | 11.3246i | 1.43519 | + | 0.522365i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 16.5119 | + | 13.8551i | 0.760021 | + | 0.637733i | ||||
\(473\) | −31.2921 | − | 26.2572i | −1.43881 | − | 1.20731i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 5.50749 | + | 2.00456i | 0.252701 | + | 0.0919756i | ||||
\(476\) | −0.666803 | + | 1.15494i | −0.0305628 | + | 0.0529364i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 15.8588 | + | 27.4683i | 0.725365 | + | 1.25637i | ||||
\(479\) | −4.94398 | − | 28.0387i | −0.225896 | − | 1.28112i | −0.860964 | − | 0.508666i | \(-0.830139\pi\) |
0.635068 | − | 0.772456i | \(-0.280972\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 8.45370 | − | 3.07689i | 0.385455 | − | 0.140294i | ||||
\(482\) | −4.19115 | + | 23.7692i | −0.190902 | + | 1.08266i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 2.34599 | − | 1.96852i | 0.106636 | − | 0.0894781i | ||||
\(485\) | 14.3939 | 0.653595 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.6841 | 1.34511 | 0.672557 | − | 0.740045i | \(-0.265196\pi\) | ||||
0.672557 | + | 0.740045i | \(0.265196\pi\) | |||||||
\(488\) | −2.34537 | + | 1.96800i | −0.106170 | + | 0.0890872i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −0.333269 | + | 1.89006i | −0.0150556 | + | 0.0853843i | ||||
\(491\) | 11.6568 | − | 4.24274i | 0.526066 | − | 0.191472i | −0.0653150 | − | 0.997865i | \(-0.520805\pi\) |
0.591381 | + | 0.806392i | \(0.298583\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.39525 | − | 7.91287i | −0.0628390 | − | 0.356378i | ||||
\(494\) | 14.5720 | + | 25.2394i | 0.655623 | + | 1.13557i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.47512 | − | 4.28702i | 0.111136 | − | 0.192493i | ||||
\(497\) | −14.6873 | − | 5.34576i | −0.658817 | − | 0.239790i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.74645 | − | 1.46544i | −0.0781816 | − | 0.0656022i | 0.602859 | − | 0.797847i | \(-0.294028\pi\) |
−0.681041 | + | 0.732245i | \(0.738472\pi\) | |||||||
\(500\) | −4.53795 | − | 3.80779i | −0.202943 | − | 0.170290i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −18.9204 | − | 6.88645i | −0.844457 | − | 0.307357i | ||||
\(503\) | 20.6406 | − | 35.7506i | 0.920320 | − | 1.59404i | 0.121399 | − | 0.992604i | \(-0.461262\pi\) |
0.798920 | − | 0.601437i | \(-0.205405\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 6.55097 | + | 11.3466i | 0.291514 | + | 0.504917i | ||||
\(506\) | 1.83546 | + | 10.4094i | 0.0815961 | + | 0.462754i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.245209 | − | 0.0892487i | 0.0108794 | − | 0.00395977i | ||||
\(509\) | −2.85202 | + | 16.1746i | −0.126414 | + | 0.716928i | 0.854044 | + | 0.520200i | \(0.174143\pi\) |
−0.980458 | + | 0.196728i | \(0.936968\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.71156 | + | 8.14896i | −0.429614 | + | 0.360489i | ||||
\(512\) | 9.67844 | 0.427731 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −20.6845 | −0.912355 | ||||||||
\(515\) | −2.78526 | + | 2.33711i | −0.122733 | + | 0.102985i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −9.00899 | + | 51.0925i | −0.396215 | + | 2.24705i | ||||
\(518\) | −5.39335 | + | 1.96302i | −0.236970 | + | 0.0862501i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.77239 | + | 27.0656i | 0.209283 | + | 1.18690i | ||||
\(521\) | −4.64836 | − | 8.05119i | −0.203648 | − | 0.352729i | 0.746053 | − | 0.665887i | \(-0.231947\pi\) |
−0.949701 | + | 0.313157i | \(0.898613\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.3736 | − | 19.6996i | 0.497331 | − | 0.861402i | −0.502664 | − | 0.864482i | \(-0.667647\pi\) |
0.999995 | + | 0.00307938i | \(0.000980199\pi\) | |||||||
\(524\) | 5.27110 | + | 1.91852i | 0.230269 | + | 0.0838110i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −11.5039 | − | 9.65288i | −0.501592 | − | 0.420886i | ||||
\(527\) | 0.781049 | + | 0.655378i | 0.0340230 | + | 0.0285487i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.1676 | + | 6.97642i | 0.833372 | + | 0.303323i | ||||
\(530\) | 9.72687 | − | 16.8474i | 0.422508 | − | 0.731806i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −1.83355 | − | 3.17581i | −0.0794946 | − | 0.137689i | ||||
\(533\) | −5.78878 | − | 32.8298i | −0.250740 | − | 1.42202i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −19.8500 | + | 7.22481i | −0.858191 | + | 0.312356i | ||||
\(536\) | −1.92124 | + | 10.8959i | −0.0829849 | + | 0.470631i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 26.7710 | − | 22.4636i | 1.15418 | − | 0.968473i | ||||
\(539\) | −3.00718 | −0.129528 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 2.38959 | 0.102737 | 0.0513683 | − | 0.998680i | \(-0.483642\pi\) | ||||
0.0513683 | + | 0.998680i | \(0.483642\pi\) | |||||||
\(542\) | −33.8105 | + | 28.3704i | −1.45229 | + | 1.21861i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0.461447 | − | 2.61700i | 0.0197844 | − | 0.112203i | ||||
\(545\) | 19.2649 | − | 7.01185i | 0.825218 | − | 0.300355i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 5.15158 | + | 29.2161i | 0.220266 | + | 1.24919i | 0.871531 | + | 0.490340i | \(0.163127\pi\) |
−0.651266 | + | 0.758850i | \(0.725762\pi\) | |||||||
\(548\) | 1.03904 | + | 1.79967i | 0.0443856 | + | 0.0768781i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 7.15057 | − | 12.3852i | 0.304901 | − | 0.528105i | ||||
\(551\) | 20.7618 | + | 7.55667i | 0.884482 | + | 0.321925i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 9.91458 | + | 8.31932i | 0.421611 | + | 0.353773i | ||||
\(554\) | 22.8328 | + | 19.1590i | 0.970072 | + | 0.813987i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 5.15081 | + | 1.87474i | 0.218443 | + | 0.0795068i | ||||
\(557\) | 4.20706 | − | 7.28685i | 0.178259 | − | 0.308754i | −0.763025 | − | 0.646369i | \(-0.776287\pi\) |
0.941284 | + | 0.337615i | \(0.109620\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −33.8309 | − | 58.5969i | −1.43090 | − | 2.47838i | ||||
\(560\) | −3.84080 | − | 21.7823i | −0.162304 | − | 0.920470i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 29.6669 | − | 10.7979i | 1.25142 | − | 0.455480i | ||||
\(563\) | 4.72783 | − | 26.8129i | 0.199254 | − | 1.13003i | −0.706974 | − | 0.707240i | \(-0.749940\pi\) |
0.906228 | − | 0.422788i | \(-0.138949\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0.579686 | − | 0.486415i | 0.0243876 | − | 0.0204636i | ||||
\(566\) | −26.4304 | −1.11095 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 13.3915 | 0.561894 | ||||||||
\(569\) | 16.8141 | − | 14.1087i | 0.704886 | − | 0.591469i | −0.218273 | − | 0.975888i | \(-0.570042\pi\) |
0.923159 | + | 0.384418i | \(0.125598\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −7.78872 | + | 44.1720i | −0.325948 | + | 1.84854i | 0.176981 | + | 0.984214i | \(0.443367\pi\) |
−0.502929 | + | 0.864328i | \(0.667744\pi\) | |||||||
\(572\) | 13.1795 | − | 4.79696i | 0.551064 | − | 0.200571i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 3.69317 | + | 20.9450i | 0.154150 | + | 0.874227i | ||||
\(575\) | 1.76046 | + | 3.04921i | 0.0734163 | + | 0.127161i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −6.00955 | + | 10.4088i | −0.250181 | + | 0.433326i | −0.963575 | − | 0.267437i | \(-0.913823\pi\) |
0.713395 | + | 0.700762i | \(0.247157\pi\) | |||||||
\(578\) | −23.8002 | − | 8.66256i | −0.989957 | − | 0.360315i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −5.19834 | − | 4.36193i | −0.215849 | − | 0.181119i | ||||
\(581\) | 12.2727 | + | 10.2980i | 0.509157 | + | 0.427234i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 28.6433 | + | 10.4253i | 1.18628 | + | 0.431772i | ||||
\(584\) | 5.43095 | − | 9.40669i | 0.224734 | − | 0.389252i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −15.4463 | − | 26.7537i | −0.638079 | − | 1.10519i | ||||
\(587\) | 2.95721 | + | 16.7711i | 0.122057 | + | 0.692219i | 0.983012 | + | 0.183539i | \(0.0587554\pi\) |
−0.860956 | + | 0.508680i | \(0.830134\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.63455 | + | 0.958897i | −0.108555 | + | 0.0395107i | ||||
\(590\) | −4.16438 | + | 23.6174i | −0.171445 | + | 0.972312i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 4.75195 | − | 3.98736i | 0.195304 | − | 0.163880i | ||||
\(593\) | 14.9284 | 0.613037 | 0.306519 | − | 0.951865i | \(-0.400836\pi\) | ||||
0.306519 | + | 0.951865i | \(0.400836\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 4.55566 | 0.186764 | ||||||||
\(596\) | 7.33147 | − | 6.15184i | 0.300309 | − | 0.251989i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −3.04024 | + | 17.2420i | −0.124324 | + | 0.705079i | ||||
\(599\) | 12.7186 | − | 4.62917i | 0.519666 | − | 0.189143i | −0.0688523 | − | 0.997627i | \(-0.521934\pi\) |
0.588518 | + | 0.808484i | \(0.299712\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.86926 | − | 44.6288i | −0.320994 | − | 1.82045i | −0.536449 | − | 0.843933i | \(-0.680235\pi\) |
0.215456 | − | 0.976514i | \(-0.430876\pi\) | |||||||
\(602\) | 21.5837 | + | 37.3841i | 0.879686 | + | 1.52366i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0.305346 | − | 0.528874i | 0.0124243 | − | 0.0215196i | ||||
\(605\) | −9.83063 | − | 3.57806i | −0.399672 | − | 0.145469i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 18.7197 | + | 15.7077i | 0.759808 | + | 0.637554i | 0.938077 | − | 0.346427i | \(-0.112605\pi\) |
−0.178269 | + | 0.983982i | \(0.557050\pi\) | |||||||
\(608\) | 5.59760 | + | 4.69694i | 0.227013 | + | 0.190486i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −3.20097 | − | 1.16506i | −0.129603 | − | 0.0471718i | ||||
\(611\) | −42.9674 | + | 74.4217i | −1.73827 | + | 3.01078i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 12.5998 | + | 21.8235i | 0.508901 | + | 0.881443i | 0.999947 | + | 0.0103088i | \(0.00328145\pi\) |
−0.491046 | + | 0.871134i | \(0.663385\pi\) | |||||||
\(614\) | −4.08375 | − | 23.1601i | −0.164807 | − | 0.934665i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 25.8166 | − | 9.39646i | 1.04018 | − | 0.378594i | ||||
\(617\) | −0.701860 | + | 3.98045i | −0.0282558 | + | 0.160247i | −0.995671 | − | 0.0929492i | \(-0.970371\pi\) |
0.967415 | + | 0.253196i | \(0.0814817\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −34.2958 | + | 28.7776i | −1.37846 | + | 1.15667i | −0.408688 | + | 0.912674i | \(0.634014\pi\) |
−0.969776 | + | 0.243995i | \(0.921542\pi\) | |||||||
\(620\) | 0.861097 | 0.0345825 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 7.24860 | 0.290642 | ||||||||
\(623\) | 9.67531 | − | 8.11855i | 0.387633 | − | 0.325263i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.61895 | + | 9.18150i | −0.0647579 | + | 0.367260i | ||||
\(626\) | 17.6038 | − | 6.40726i | 0.703590 | − | 0.256086i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.301461 | − | 1.70967i | −0.0120296 | − | 0.0682232i | ||||
\(629\) | 0.638833 | + | 1.10649i | 0.0254719 | + | 0.0441187i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −15.7058 | + | 27.2033i | −0.625238 | + | 1.08294i | 0.363256 | + | 0.931689i | \(0.381665\pi\) |
−0.988495 | + | 0.151255i | \(0.951668\pi\) | |||||||
\(632\) | −10.4202 | − | 3.79265i | −0.414495 | − | 0.150864i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −17.5533 | − | 14.7290i | −0.697132 | − | 0.584963i | ||||
\(635\) | −0.682854 | − | 0.572983i | −0.0270982 | − | 0.0227381i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −4.68067 | − | 1.70362i | −0.185455 | − | 0.0675000i | ||||
\(638\) | 26.9558 | − | 46.6888i | 1.06719 | − | 1.84843i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 11.4392 | + | 19.8133i | 0.452176 | + | 0.783191i | ||||
\(641\) | −8.44635 | − | 47.9016i | −0.333611 | − | 1.89200i | −0.440537 | − | 0.897734i | \(-0.645212\pi\) |
0.106926 | − | 0.994267i | \(-0.465899\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 26.3418 | − | 9.58763i | 1.03882 | − | 0.378099i | 0.234387 | − | 0.972143i | \(-0.424692\pi\) |
0.804432 | + | 0.594044i | \(0.202470\pi\) | |||||||
\(644\) | 0.382545 | − | 2.16952i | 0.0150744 | − | 0.0854911i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −3.17072 | + | 2.66055i | −0.124750 | + | 0.104678i | ||||
\(647\) | 37.5519 | 1.47632 | 0.738159 | − | 0.674627i | \(-0.235696\pi\) | ||||
0.738159 | + | 0.674627i | \(0.235696\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −37.5763 | −1.47500 | ||||||||
\(650\) | 18.1463 | − | 15.2265i | 0.711756 | − | 0.597234i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.36099 | − | 7.71855i | 0.0533004 | − | 0.302282i | ||||
\(653\) | −4.80391 | + | 1.74848i | −0.187992 | + | 0.0684234i | −0.434301 | − | 0.900768i | \(-0.643004\pi\) |
0.246309 | + | 0.969191i | \(0.420782\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.32743 | − | 18.8708i | −0.130013 | − | 0.737343i | ||||
\(656\) | −11.4933 | − | 19.9069i | −0.448737 | − | 0.777236i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 27.4126 | − | 47.4801i | 1.06866 | − | 1.85097i | ||||
\(659\) | 32.8948 | + | 11.9727i | 1.28140 | + | 0.466391i | 0.890895 | − | 0.454210i | \(-0.150078\pi\) |
0.390505 | + | 0.920601i | \(0.372301\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 1.02149 | + | 0.857133i | 0.0397314 | + | 0.0333386i | 0.662437 | − | 0.749118i | \(-0.269522\pi\) |
−0.622706 | + | 0.782456i | \(0.713967\pi\) | |||||||
\(662\) | 9.80083 | + | 8.22387i | 0.380920 | + | 0.319630i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −12.8986 | − | 4.69471i | −0.500563 | − | 0.182190i | ||||
\(665\) | −6.26350 | + | 10.8487i | −0.242888 | + | 0.420694i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.63648 | + | 11.4947i | 0.256966 | + | 0.445077i | ||||
\(668\) | −1.23588 | − | 7.00905i | −0.0478178 | − | 0.271188i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −11.5674 | + | 4.21018i | −0.446886 | + | 0.162653i | ||||
\(671\) | 0.926830 | − | 5.25631i | 0.0357799 | − | 0.202918i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.74208 | + | 2.30088i | −0.105699 | + | 0.0886923i | −0.694106 | − | 0.719873i | \(-0.744200\pi\) |
0.588406 | + | 0.808565i | \(0.299756\pi\) | |||||||
\(674\) | 29.6866 | 1.14348 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 16.8438 | 0.647839 | ||||||||
\(677\) | 28.2968 | − | 23.7439i | 1.08754 | − | 0.912551i | 0.0910111 | − | 0.995850i | \(-0.470990\pi\) |
0.996525 | + | 0.0832991i | \(0.0265457\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 4.13866 | − | 23.4715i | 0.158827 | − | 0.900753i | ||||
\(680\) | −3.66782 | + | 1.33498i | −0.140654 | + | 0.0511940i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 1.18794 | + | 6.73713i | 0.0454885 | + | 0.257978i | ||||
\(683\) | 19.0083 | + | 32.9233i | 0.727332 | + | 1.25978i | 0.958007 | + | 0.286745i | \(0.0925733\pi\) |
−0.230675 | + | 0.973031i | \(0.574093\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.54941 | − | 6.14775i | 0.135616 | − | 0.234894i | ||||
\(686\) | −25.8697 | − | 9.41580i | −0.987710 | − | 0.359497i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −35.7401 | − | 29.9895i | −1.36258 | − | 1.14334i | ||||
\(689\) | 38.6771 | + | 32.4540i | 1.47348 | + | 1.23640i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.517267 | − | 0.188270i | −0.0196778 | − | 0.00716212i | 0.332163 | − | 0.943222i | \(-0.392222\pi\) |
−0.351840 | + | 0.936060i | \(0.614444\pi\) | |||||||
\(692\) | 3.09984 | − | 5.36908i | 0.117838 | − | 0.204102i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 13.9039 | + | 24.0822i | 0.527784 | + | 0.914148i | ||||
\(695\) | −3.25150 | − | 18.4402i | −0.123336 | − | 0.699476i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.44896 | − | 1.61929i | 0.168516 | − | 0.0613350i | ||||
\(698\) | 4.65654 | − | 26.4086i | 0.176253 | − | 0.999579i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −2.28330 | + | 1.91592i | −0.0863006 | + | 0.0724148i | ||||
\(701\) | −19.0242 | −0.718534 | −0.359267 | − | 0.933235i | \(-0.616973\pi\) | ||||
−0.359267 | + | 0.933235i | \(0.616973\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −3.51328 | −0.132506 | ||||||||
\(704\) | −16.4962 | + | 13.8420i | −0.621724 | + | 0.521689i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −4.15395 | + | 23.5582i | −0.156336 | + | 0.886626i | ||||
\(707\) | 20.3859 | − | 7.41987i | 0.766692 | − | 0.279053i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.11100 | + | 11.9721i | 0.0792804 | + | 0.449621i | 0.998445 | + | 0.0557476i | \(0.0177542\pi\) |
−0.919165 | + | 0.393874i | \(0.871135\pi\) | |||||||
\(710\) | 7.44966 | + | 12.9032i | 0.279581 | + | 0.484248i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −5.41068 | + | 9.37158i | −0.202774 | + | 0.351215i | ||||
\(713\) | −1.58269 | − | 0.576051i | −0.0592721 | − | 0.0215733i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −36.7022 | − | 30.7968i | −1.37258 | − | 1.15173i | ||||
\(716\) | −0.111377 | − | 0.0934566i | −0.00416236 | − | 0.00349264i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −3.63530 | − | 1.32314i | −0.135668 | − | 0.0493791i | ||||
\(719\) | 4.88834 | − | 8.46685i | 0.182304 | − | 0.315760i | −0.760361 | − | 0.649501i | \(-0.774978\pi\) |
0.942665 | + | 0.333741i | \(0.108311\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.01017 | + | 5.21376i | 0.112104 | + | 0.194171i | ||||
\(722\) | 3.23127 | + | 18.3255i | 0.120256 | + | 0.682003i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −0.655884 | + | 0.238722i | −0.0243757 | + | 0.00887205i | ||||
\(725\) | 3.11842 | − | 17.6854i | 0.115815 | − | 0.656821i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 3.32075 | − | 2.78644i | 0.123160 | − | 0.103343i | −0.579128 | − | 0.815237i | \(-0.696607\pi\) |
0.702287 | + | 0.711894i | \(0.252162\pi\) | |||||||
\(728\) | 45.5067 | 1.68659 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 12.0849 | 0.447283 | ||||||||
\(731\) | 7.36129 | − | 6.17686i | 0.272267 | − | 0.228459i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 5.06943 | − | 28.7501i | 0.187244 | − | 1.06191i | −0.735795 | − | 0.677204i | \(-0.763191\pi\) |
0.923039 | − | 0.384707i | \(-0.125697\pi\) | |||||||
\(734\) | −1.94825 | + | 0.709106i | −0.0719113 | + | 0.0261736i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0.762267 | + | 4.32303i | 0.0280975 | + | 0.159349i | ||||
\(737\) | −9.64391 | − | 16.7037i | −0.355238 | − | 0.615290i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −20.7777 | + | 35.9880i | −0.764319 | + | 1.32384i | 0.176287 | + | 0.984339i | \(0.443591\pi\) |
−0.940606 | + | 0.339501i | \(0.889742\pi\) | |||||||
\(740\) | 1.01398 | + | 0.369060i | 0.0372748 | + | 0.0135669i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −24.6755 | − | 20.7052i | −0.905867 | − | 0.760112i | ||||
\(743\) | −16.3760 | − | 13.7411i | −0.600777 | − | 0.504112i | 0.290918 | − | 0.956748i | \(-0.406039\pi\) |
−0.891695 | + | 0.452636i | \(0.850484\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −30.7218 | − | 11.1818i | −1.12556 | − | 0.409670i | ||||
\(746\) | −7.59699 | + | 13.1584i | −0.278146 | + | 0.481763i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0.995957 | + | 1.72505i | 0.0364158 | + | 0.0630740i | ||||
\(749\) | 6.07371 | + | 34.4457i | 0.221929 | + | 1.25862i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 37.5573 | − | 13.6697i | 1.37048 | − | 0.498816i | 0.451205 | − | 0.892420i | \(-0.350994\pi\) |
0.919280 | + | 0.393605i | \(0.128772\pi\) | |||||||
\(752\) | −10.2896 | + | 58.3549i | −0.375221 | + | 2.12799i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 68.4067 | − | 57.4000i | 2.49123 | − | 2.09039i | ||||
\(755\) | −2.08615 | −0.0759228 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 6.68348 | 0.242915 | 0.121458 | − | 0.992597i | \(-0.461243\pi\) | ||||
0.121458 | + | 0.992597i | \(0.461243\pi\) | |||||||
\(758\) | 10.3539 | − | 8.68795i | 0.376070 | − | 0.315561i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 1.86375 | − | 10.5699i | 0.0676054 | − | 0.383410i | ||||
\(761\) | 39.4906 | − | 14.3734i | 1.43153 | − | 0.521035i | 0.494163 | − | 0.869369i | \(-0.335475\pi\) |
0.937370 | + | 0.348334i | \(0.113253\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −5.89469 | − | 33.4304i | −0.213402 | − | 1.21026i | ||||
\(764\) | 5.06692 | + | 8.77617i | 0.183315 | + | 0.317511i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −26.5445 | + | 45.9764i | −0.959092 | + | 1.66120i | ||||
\(767\) | −58.4875 | − | 21.2877i | −2.11186 | − | 0.768655i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 1.84864 | + | 1.55120i | 0.0666638 | + | 0.0559375i | 0.675511 | − | 0.737350i | \(-0.263923\pi\) |
−0.608847 | + | 0.793288i | \(0.708368\pi\) | |||||||
\(770\) | 23.4155 | + | 19.6480i | 0.843837 | + | 0.708064i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 9.67593 | + | 3.52175i | 0.348244 | + | 0.126751i | ||||
\(773\) | 0.698900 | − | 1.21053i | 0.0251377 | − | 0.0435398i | −0.853183 | − | 0.521612i | \(-0.825331\pi\) |
0.878321 | + | 0.478072i | \(0.158664\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.13940 | + | 1.97350i | 0.0409284 | + | 0.0708901i | ||||
\(776\) | 3.54593 | + | 20.1100i | 0.127292 | + | 0.721907i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 22.1800 | − | 8.07285i | 0.795190 | − | 0.289426i | ||||
\(779\) | −2.26068 | + | 12.8210i | −0.0809973 | + | 0.459358i | ||||
\(780\) |