Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(370,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 6, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.370");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.fm (of order \(12\), degree \(4\), 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: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 370.3 | ||
Character | \(\chi\) | \(=\) | 819.370 |
Dual form | 819.2.fm.e.622.3 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{12}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0578232 | − | 0.215799i | −0.0408872 | − | 0.152593i | 0.942464 | − | 0.334307i | \(-0.108502\pi\) |
−0.983351 | + | 0.181714i | \(0.941836\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.68883 | − | 0.975044i | 0.844413 | − | 0.487522i | ||||
\(5\) | −1.08760 | − | 1.08760i | −0.486390 | − | 0.486390i | 0.420775 | − | 0.907165i | \(-0.361758\pi\) |
−0.907165 | + | 0.420775i | \(0.861758\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −0.725943 | + | 2.54421i | −0.274381 | + | 0.961621i | ||||
\(8\) | −0.624019 | − | 0.624019i | −0.220624 | − | 0.220624i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.171815 | + | 0.297592i | −0.0543326 | + | 0.0941068i | ||||
\(11\) | −4.17464 | + | 1.11859i | −1.25870 | + | 0.337268i | −0.825692 | − | 0.564121i | \(-0.809215\pi\) |
−0.433010 | + | 0.901389i | \(0.642548\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.01096 | − | 1.98346i | −0.835090 | − | 0.550113i | ||||
\(14\) | 0.591015 | + | 0.00954346i | 0.157955 | + | 0.00255060i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 1.85151 | − | 3.20690i | 0.462877 | − | 0.801726i | ||||
\(17\) | −3.78401 | − | 6.55410i | −0.917757 | − | 1.58960i | −0.802813 | − | 0.596231i | \(-0.796664\pi\) |
−0.114944 | − | 0.993372i | \(-0.536669\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1.31714 | − | 4.91565i | 0.302173 | − | 1.12773i | −0.633178 | − | 0.774006i | \(-0.718250\pi\) |
0.935351 | − | 0.353720i | \(-0.115084\pi\) | |||||||
\(20\) | −2.89722 | − | 0.776309i | −0.647839 | − | 0.173588i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.482783 | + | 0.836204i | 0.102930 | + | 0.178279i | ||||
\(23\) | 1.85976 | + | 1.07373i | 0.387787 | + | 0.223889i | 0.681201 | − | 0.732097i | \(-0.261458\pi\) |
−0.293414 | + | 0.955985i | \(0.594791\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | − | 2.63425i | − | 0.526850i | ||||||
\(26\) | −0.253926 | + | 0.764453i | −0.0497989 | + | 0.149922i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 1.25473 | + | 5.00455i | 0.237121 | + | 0.945771i | ||||
\(29\) | 2.66646 | − | 4.61844i | 0.495148 | − | 0.857622i | −0.504836 | − | 0.863215i | \(-0.668447\pi\) |
0.999984 | + | 0.00559304i | \(0.00178033\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1.09410 | + | 1.09410i | 0.196507 | + | 0.196507i | 0.798501 | − | 0.601994i | \(-0.205627\pi\) |
−0.601994 | + | 0.798501i | \(0.705627\pi\) | |||||||
\(32\) | −2.50396 | − | 0.670934i | −0.442642 | − | 0.118605i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.19557 | + | 1.19557i | −0.205038 | + | 0.205038i | ||||
\(35\) | 3.55662 | − | 1.97755i | 0.601178 | − | 0.334267i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −2.82556 | + | 0.757106i | −0.464519 | + | 0.124467i | −0.483485 | − | 0.875353i | \(-0.660629\pi\) |
0.0189661 | + | 0.999820i | \(0.493963\pi\) | |||||||
\(38\) | −1.13695 | −0.184438 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.35737i | 0.214618i | ||||||||
\(41\) | −1.37894 | + | 0.369486i | −0.215354 | + | 0.0577039i | −0.364883 | − | 0.931053i | \(-0.618891\pi\) |
0.149529 | + | 0.988757i | \(0.452224\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.58558 | + | 3.80219i | −1.00429 | + | 0.579828i | −0.909515 | − | 0.415671i | \(-0.863547\pi\) |
−0.0947764 | + | 0.995499i | \(0.530214\pi\) | |||||||
\(44\) | −5.95956 | + | 5.95956i | −0.898438 | + | 0.898438i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.124173 | − | 0.463422i | 0.0183084 | − | 0.0683278i | ||||
\(47\) | −5.26364 | + | 5.26364i | −0.767781 | + | 0.767781i | −0.977716 | − | 0.209934i | \(-0.932675\pi\) |
0.209934 | + | 0.977716i | \(0.432675\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.94601 | − | 3.69390i | −0.849431 | − | 0.527700i | ||||
\(50\) | −0.568470 | + | 0.152321i | −0.0803937 | + | 0.0215414i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −7.01895 | − | 0.413900i | −0.973353 | − | 0.0573976i | ||||
\(53\) | 13.1808 | 1.81053 | 0.905263 | − | 0.424851i | \(-0.139673\pi\) | ||||
0.905263 | + | 0.424851i | \(0.139673\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 5.75692 | + | 3.32376i | 0.776263 | + | 0.448176i | ||||
\(56\) | 2.04064 | − | 1.13463i | 0.272692 | − | 0.151622i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.15084 | − | 0.308366i | −0.151112 | − | 0.0404905i | ||||
\(59\) | 8.73809 | + | 2.34136i | 1.13760 | + | 0.304820i | 0.777987 | − | 0.628281i | \(-0.216241\pi\) |
0.359616 | + | 0.933101i | \(0.382908\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −10.1891 | + | 5.88266i | −1.30458 | + | 0.753197i | −0.981185 | − | 0.193068i | \(-0.938156\pi\) |
−0.323391 | + | 0.946266i | \(0.604823\pi\) | |||||||
\(62\) | 0.172842 | − | 0.299371i | 0.0219510 | − | 0.0380202i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | − | 6.82688i | − | 0.853360i | ||||||
\(65\) | 1.11751 | + | 5.43193i | 0.138610 | + | 0.673748i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −1.28138 | − | 4.78216i | −0.156545 | − | 0.584234i | −0.998968 | − | 0.0454175i | \(-0.985538\pi\) |
0.842423 | − | 0.538817i | \(-0.181128\pi\) | |||||||
\(68\) | −12.7811 | − | 7.37915i | −1.54993 | − | 0.894854i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.632408 | − | 0.653167i | −0.0755873 | − | 0.0780684i | ||||
\(71\) | 5.25942 | + | 1.40926i | 0.624179 | + | 0.167248i | 0.557027 | − | 0.830495i | \(-0.311942\pi\) |
0.0671520 | + | 0.997743i | \(0.478609\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 8.04396 | − | 8.04396i | 0.941474 | − | 0.941474i | −0.0569055 | − | 0.998380i | \(-0.518123\pi\) |
0.998380 | + | 0.0569055i | \(0.0181234\pi\) | |||||||
\(74\) | 0.326766 | + | 0.565975i | 0.0379857 | + | 0.0657932i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −2.56854 | − | 9.58594i | −0.294632 | − | 1.09958i | ||||
\(77\) | 0.184619 | − | 11.4332i | 0.0210392 | − | 1.30293i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.06635 | 1.02004 | 0.510022 | − | 0.860161i | \(-0.329637\pi\) | ||||
0.510022 | + | 0.860161i | \(0.329637\pi\) | |||||||
\(80\) | −5.50153 | + | 1.47413i | −0.615090 | + | 0.164813i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.159469 | + | 0.276209i | 0.0176104 | + | 0.0305022i | ||||
\(83\) | −1.13072 | − | 1.13072i | −0.124113 | − | 0.124113i | 0.642322 | − | 0.766435i | \(-0.277971\pi\) |
−0.766435 | + | 0.642322i | \(0.777971\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.01275 | + | 11.2437i | −0.326778 | + | 1.21955i | ||||
\(86\) | 1.20131 | + | 1.20131i | 0.129540 | + | 0.129540i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 3.30308 | + | 1.90703i | 0.352109 | + | 0.203290i | ||||
\(89\) | 0.217351 | + | 0.811166i | 0.0230392 | + | 0.0859834i | 0.976488 | − | 0.215571i | \(-0.0691612\pi\) |
−0.953449 | + | 0.301554i | \(0.902495\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.23213 | − | 6.22064i | 0.758133 | − | 0.652100i | ||||
\(92\) | 4.18775 | 0.436603 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 1.44025 | + | 0.831529i | 0.148551 | + | 0.0857657i | ||||
\(95\) | −6.77878 | + | 3.91373i | −0.695488 | + | 0.401540i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −4.35890 | + | 16.2676i | −0.442579 | + | 1.65173i | 0.279672 | + | 0.960096i | \(0.409774\pi\) |
−0.722251 | + | 0.691631i | \(0.756892\pi\) | |||||||
\(98\) | −0.453324 | + | 1.49674i | −0.0457926 | + | 0.151193i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.56851 | − | 4.44879i | −0.256851 | − | 0.444879i | ||||
\(101\) | 5.48585 | − | 9.50177i | 0.545863 | − | 0.945462i | −0.452690 | − | 0.891668i | \(-0.649535\pi\) |
0.998552 | − | 0.0537934i | \(-0.0171313\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.70231 | −0.463332 | −0.231666 | − | 0.972795i | \(-0.574418\pi\) | ||||
−0.231666 | + | 0.972795i | \(0.574418\pi\) | |||||||
\(104\) | 0.641180 | + | 3.11661i | 0.0628728 | + | 0.305609i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.762158 | − | 2.84441i | −0.0740274 | − | 0.276274i | ||||
\(107\) | −6.55307 | + | 11.3502i | −0.633509 | + | 1.09727i | 0.353320 | + | 0.935503i | \(0.385053\pi\) |
−0.986829 | + | 0.161767i | \(0.948281\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.872057 | + | 0.872057i | −0.0835279 | + | 0.0835279i | −0.747636 | − | 0.664108i | \(-0.768811\pi\) |
0.664108 | + | 0.747636i | \(0.268811\pi\) | |||||||
\(110\) | 0.384381 | − | 1.43453i | 0.0366493 | − | 0.136777i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 6.81495 | + | 7.03865i | 0.643952 | + | 0.665090i | ||||
\(113\) | −6.21370 | − | 10.7625i | −0.584536 | − | 1.01245i | −0.994933 | − | 0.100539i | \(-0.967943\pi\) |
0.410397 | − | 0.911907i | \(-0.365390\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.854883 | − | 3.19047i | −0.0797183 | − | 0.297513i | ||||
\(116\) | − | 10.3996i | − | 0.965583i | ||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 2.02106i | − | 0.186053i | ||||||
\(119\) | 19.4220 | − | 4.86942i | 1.78041 | − | 0.446379i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 6.65011 | − | 3.83944i | 0.604556 | − | 0.349040i | ||||
\(122\) | 1.85864 | + | 1.85864i | 0.168273 | + | 0.168273i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 2.91455 | + | 0.780950i | 0.261734 | + | 0.0701314i | ||||
\(125\) | −8.30301 | + | 8.30301i | −0.742644 | + | 0.742644i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.51334 | + | 3.18313i | 0.489230 | + | 0.282457i | 0.724255 | − | 0.689532i | \(-0.242184\pi\) |
−0.235025 | + | 0.971989i | \(0.575517\pi\) | |||||||
\(128\) | −6.48115 | + | 1.73662i | −0.572858 | + | 0.153497i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.10759 | − | 0.555250i | 0.0971420 | − | 0.0486986i | ||||
\(131\) | 3.73498i | 0.326327i | 0.986599 | + | 0.163163i | \(0.0521698\pi\) | ||||
−0.986599 | + | 0.163163i | \(0.947830\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.5503 | + | 6.91957i | 1.00154 | + | 0.600003i | ||||
\(134\) | −0.957894 | + | 0.553040i | −0.0827494 | + | 0.0477754i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.72859 | + | 6.45118i | −0.148225 | + | 0.553184i | ||||
\(137\) | −0.00793713 | + | 0.0296218i | −0.000678115 | + | 0.00253076i | −0.966264 | − | 0.257553i | \(-0.917084\pi\) |
0.965586 | + | 0.260084i | \(0.0837503\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 2.85559 | − | 1.64867i | 0.242208 | − | 0.139839i | −0.373983 | − | 0.927435i | \(-0.622008\pi\) |
0.616191 | + | 0.787597i | \(0.288675\pi\) | |||||||
\(140\) | 4.07831 | − | 6.80759i | 0.344680 | − | 0.575346i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | − | 1.21647i | − | 0.102084i | ||||||
\(143\) | 14.7884 | + | 4.91220i | 1.23667 | + | 0.410779i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.92305 | + | 2.12297i | −0.657974 | + | 0.176303i | ||||
\(146\) | −2.20101 | − | 1.27075i | −0.182157 | − | 0.105168i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −4.03366 | + | 4.03366i | −0.331565 | + | 0.331565i | ||||
\(149\) | −4.52646 | − | 1.21286i | −0.370822 | − | 0.0993615i | 0.0685950 | − | 0.997645i | \(-0.478148\pi\) |
−0.439417 | + | 0.898283i | \(0.644815\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.74970 | − | 4.74970i | −0.386525 | − | 0.386525i | 0.486921 | − | 0.873446i | \(-0.338120\pi\) |
−0.873446 | + | 0.486921i | \(0.838120\pi\) | |||||||
\(152\) | −3.88938 | + | 2.24553i | −0.315470 | + | 0.182137i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −2.47795 | + | 0.621264i | −0.199679 | + | 0.0500629i | ||||
\(155\) | − | 2.37989i | − | 0.191158i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | − | 17.1115i | − | 1.36565i | −0.730584 | − | 0.682823i | \(-0.760752\pi\) | ||
0.730584 | − | 0.682823i | \(-0.239248\pi\) | |||||||
\(158\) | −0.524246 | − | 1.95651i | −0.0417068 | − | 0.155652i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.99360 | + | 3.45301i | 0.157608 | + | 0.272985i | ||||
\(161\) | −4.08188 | + | 3.95215i | −0.321697 | + | 0.311473i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 5.05271 | − | 18.8570i | 0.395759 | − | 1.47699i | −0.424726 | − | 0.905322i | \(-0.639630\pi\) |
0.820484 | − | 0.571669i | \(-0.193704\pi\) | |||||||
\(164\) | −1.96852 | + | 1.96852i | −0.153716 | + | 0.153716i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.178627 | + | 0.309390i | −0.0138641 | + | 0.0240134i | ||||
\(167\) | 3.66374 | + | 13.6733i | 0.283508 | + | 1.05807i | 0.949922 | + | 0.312486i | \(0.101162\pi\) |
−0.666414 | + | 0.745582i | \(0.732172\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.13177 | + | 11.9442i | 0.394751 | + | 0.918788i | ||||
\(170\) | 2.60060 | 0.199457 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −7.41460 | + | 12.8425i | −0.565358 | + | 0.979228i | ||||
\(173\) | 9.66072 | + | 16.7329i | 0.734491 | + | 1.27218i | 0.954946 | + | 0.296778i | \(0.0959122\pi\) |
−0.220456 | + | 0.975397i | \(0.570754\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.70209 | + | 1.91232i | 0.506631 | + | 0.144558i | ||||
\(176\) | −4.14216 | + | 15.4588i | −0.312227 | + | 1.16525i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.162481 | − | 0.0938085i | 0.0121785 | − | 0.00703124i | ||||
\(179\) | −3.56116 | − | 2.05604i | −0.266173 | − | 0.153675i | 0.360974 | − | 0.932576i | \(-0.382444\pi\) |
−0.627147 | + | 0.778901i | \(0.715778\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 2.09652 | 0.155833 | 0.0779165 | − | 0.996960i | \(-0.475173\pi\) | ||||
0.0779165 | + | 0.996960i | \(0.475173\pi\) | |||||||
\(182\) | −1.76059 | − | 1.20099i | −0.130504 | − | 0.0890233i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −0.490496 | − | 1.83056i | −0.0361598 | − | 0.134950i | ||||
\(185\) | 3.89650 | + | 2.24965i | 0.286477 | + | 0.165397i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 23.1283 | + | 23.1283i | 1.69131 | + | 1.69131i | ||||
\(188\) | −3.75709 | + | 14.0217i | −0.274014 | + | 1.02263i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.23655 | + | 1.23655i | 0.0897089 | + | 0.0897089i | ||||
\(191\) | −4.22074 | − | 7.31054i | −0.305402 | − | 0.528972i | 0.671949 | − | 0.740598i | \(-0.265458\pi\) |
−0.977351 | + | 0.211626i | \(0.932124\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 1.96647 | − | 0.526915i | 0.141550 | − | 0.0379282i | −0.187348 | − | 0.982294i | \(-0.559989\pi\) |
0.328898 | + | 0.944365i | \(0.393323\pi\) | |||||||
\(194\) | 3.76259 | 0.270138 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −13.6435 | − | 0.440734i | −0.974535 | − | 0.0314810i | ||||
\(197\) | −3.46988 | − | 12.9498i | −0.247219 | − | 0.922632i | −0.972255 | − | 0.233922i | \(-0.924844\pi\) |
0.725037 | − | 0.688710i | \(-0.241823\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.76822 | + | 6.52675i | 0.267122 | + | 0.462669i | 0.968117 | − | 0.250497i | \(-0.0805940\pi\) |
−0.700995 | + | 0.713166i | \(0.747261\pi\) | |||||||
\(200\) | −1.64382 | + | 1.64382i | −0.116236 | + | 0.116236i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −2.36768 | − | 0.634419i | −0.166590 | − | 0.0446376i | ||||
\(203\) | 9.81458 | + | 10.1367i | 0.688849 | + | 0.711460i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 1.90159 | + | 1.09788i | 0.132813 | + | 0.0766794i | ||||
\(206\) | 0.271903 | + | 1.01475i | 0.0189444 | + | 0.0707013i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −11.9356 | + | 5.98347i | −0.827584 | + | 0.414879i | ||||
\(209\) | 21.9944i | 1.52139i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 8.48310 | − | 14.6932i | 0.584001 | − | 1.01152i | −0.410998 | − | 0.911636i | \(-0.634820\pi\) |
0.994999 | − | 0.0998830i | \(-0.0318469\pi\) | |||||||
\(212\) | 22.2601 | − | 12.8519i | 1.52883 | − | 0.882671i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 2.82829 | + | 0.757839i | 0.193338 | + | 0.0518048i | ||||
\(215\) | 11.2977 | + | 3.02722i | 0.770499 | + | 0.206455i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −3.57788 | + | 1.98937i | −0.242883 | + | 0.135047i | ||||
\(218\) | 0.238614 | + | 0.137764i | 0.0161610 | + | 0.00933056i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 12.9632 | 0.873982 | ||||||||
\(221\) | −1.60629 | + | 27.2396i | −0.108051 | + | 1.83233i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.1895 | + | 3.26617i | −0.816269 | + | 0.218719i | −0.642715 | − | 0.766106i | \(-0.722192\pi\) |
−0.173555 | + | 0.984824i | \(0.555525\pi\) | |||||||
\(224\) | 3.52473 | − | 5.88354i | 0.235506 | − | 0.393111i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.96323 | + | 1.96323i | −0.130592 | + | 0.130592i | ||||
\(227\) | 5.09212 | − | 19.0040i | 0.337976 | − | 1.26134i | −0.562631 | − | 0.826708i | \(-0.690211\pi\) |
0.900607 | − | 0.434635i | \(-0.143122\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 19.8246 | − | 19.8246i | 1.31004 | − | 1.31004i | 0.388666 | − | 0.921379i | \(-0.372936\pi\) |
0.921379 | − | 0.388666i | \(-0.127064\pi\) | |||||||
\(230\) | −0.639068 | + | 0.368966i | −0.0421389 | + | 0.0243289i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.54591 | + | 1.21807i | −0.298454 | + | 0.0799704i | ||||
\(233\) | − | 10.8900i | − | 0.713427i | −0.934214 | − | 0.356714i | \(-0.883897\pi\) | ||
0.934214 | − | 0.356714i | \(-0.116103\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 11.4495 | 0.746882 | ||||||||
\(236\) | 17.0400 | − | 4.56586i | 1.10921 | − | 0.297212i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.17386 | − | 3.90968i | −0.140910 | − | 0.253427i | ||||
\(239\) | 10.0403 | − | 10.0403i | 0.649451 | − | 0.649451i | −0.303409 | − | 0.952860i | \(-0.598125\pi\) |
0.952860 | + | 0.303409i | \(0.0981250\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 15.1305 | + | 4.05421i | 0.974642 | + | 0.261155i | 0.710787 | − | 0.703408i | \(-0.248339\pi\) |
0.263856 | + | 0.964562i | \(0.415006\pi\) | |||||||
\(242\) | −1.21308 | − | 1.21308i | −0.0779797 | − | 0.0779797i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −11.4717 | + | 19.8696i | −0.734400 | + | 1.27202i | ||||
\(245\) | 2.44940 | + | 10.4844i | 0.156486 | + | 0.669822i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −13.7159 | + | 12.1883i | −0.872719 | + | 0.775524i | ||||
\(248\) | − | 1.36548i | − | 0.0867082i | ||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 2.27189 | + | 1.31168i | 0.143687 | + | 0.0829577i | ||||
\(251\) | −10.7847 | − | 18.6797i | −0.680727 | − | 1.17905i | −0.974759 | − | 0.223258i | \(-0.928331\pi\) |
0.294033 | − | 0.955795i | \(-0.405003\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −8.96490 | − | 2.40214i | −0.563619 | − | 0.151021i | ||||
\(254\) | 0.368118 | − | 1.37383i | 0.0230977 | − | 0.0862020i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −6.07736 | − | 10.5263i | −0.379835 | − | 0.657893i | ||||
\(257\) | 1.05953 | − | 1.83517i | 0.0660920 | − | 0.114475i | −0.831086 | − | 0.556144i | \(-0.812280\pi\) |
0.897178 | + | 0.441669i | \(0.145614\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0.124957 | − | 7.73843i | 0.00776444 | − | 0.480843i | ||||
\(260\) | 7.18365 | + | 8.08396i | 0.445511 | + | 0.501346i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0.806006 | − | 0.215969i | 0.0497952 | − | 0.0133426i | ||||
\(263\) | −5.53188 | + | 9.58150i | −0.341111 | + | 0.590821i | −0.984639 | − | 0.174601i | \(-0.944136\pi\) |
0.643529 | + | 0.765422i | \(0.277470\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −14.3355 | − | 14.3355i | −0.880621 | − | 0.880621i | ||||
\(266\) | 0.825364 | − | 2.89265i | 0.0506063 | − | 0.177360i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −6.82684 | − | 6.82684i | −0.417016 | − | 0.417016i | ||||
\(269\) | 23.8459 | − | 13.7675i | 1.45391 | − | 0.839416i | 0.455211 | − | 0.890383i | \(-0.349564\pi\) |
0.998700 | + | 0.0509670i | \(0.0162303\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −3.80218 | − | 14.1899i | −0.230966 | − | 0.861978i | −0.979926 | − | 0.199362i | \(-0.936113\pi\) |
0.748960 | − | 0.662616i | \(-0.230554\pi\) | |||||||
\(272\) | −28.0245 | −1.69923 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0.00685131 | 0.000413903 | ||||||||
\(275\) | 2.94665 | + | 10.9971i | 0.177690 | + | 0.663148i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 4.50623 | − | 2.60167i | 0.270753 | − | 0.156319i | −0.358477 | − | 0.933539i | \(-0.616704\pi\) |
0.629230 | + | 0.777219i | \(0.283370\pi\) | |||||||
\(278\) | −0.520902 | − | 0.520902i | −0.0312416 | − | 0.0312416i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.45343 | − | 0.985370i | −0.206382 | − | 0.0588871i | ||||
\(281\) | 10.7634 | + | 10.7634i | 0.642088 | + | 0.642088i | 0.951068 | − | 0.308980i | \(-0.0999877\pi\) |
−0.308980 | + | 0.951068i | \(0.599988\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 2.03356 | − | 3.52223i | 0.120882 | − | 0.209375i | −0.799233 | − | 0.601021i | \(-0.794761\pi\) |
0.920116 | + | 0.391646i | \(0.128094\pi\) | |||||||
\(284\) | 10.2563 | − | 2.74818i | 0.608601 | − | 0.163074i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.204938 | − | 3.47536i | 0.0121183 | − | 0.205502i | ||||
\(287\) | 0.0609819 | − | 3.77654i | 0.00359965 | − | 0.222922i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −20.1375 | + | 34.8791i | −1.18456 | + | 2.05171i | ||||
\(290\) | 0.916273 | + | 1.58703i | 0.0538054 | + | 0.0931937i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 5.74163 | − | 21.4280i | 0.336003 | − | 1.25398i | ||||
\(293\) | −21.3183 | − | 5.71221i | −1.24543 | − | 0.333711i | −0.424858 | − | 0.905260i | \(-0.639676\pi\) |
−0.820568 | + | 0.571549i | \(0.806343\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −6.95708 | − | 12.0500i | −0.405057 | − | 0.701579i | ||||
\(296\) | 2.23565 | + | 1.29075i | 0.129944 | + | 0.0750235i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.04694i | 0.0606475i | ||||||||
\(299\) | −3.46996 | − | 6.92173i | −0.200673 | − | 0.400294i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.89281 | − | 19.5153i | −0.282017 | − | 1.12484i | ||||
\(302\) | −0.750339 | + | 1.29962i | −0.0431771 | + | 0.0747850i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −13.3253 | − | 13.3253i | −0.764259 | − | 0.764259i | ||||
\(305\) | 17.4796 | + | 4.68365i | 1.00088 | + | 0.268185i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.60326 | + | 9.60326i | −0.548087 | + | 0.548087i | −0.925887 | − | 0.377800i | \(-0.876681\pi\) |
0.377800 | + | 0.925887i | \(0.376681\pi\) | |||||||
\(308\) | −10.8361 | − | 19.4887i | −0.617443 | − | 1.11047i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.513579 | + | 0.137613i | −0.0291693 | + | 0.00781590i | ||||
\(311\) | 16.2194 | 0.919715 | 0.459858 | − | 0.887993i | \(-0.347900\pi\) | ||||
0.459858 | + | 0.887993i | \(0.347900\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 24.2234i | 1.36919i | 0.728926 | + | 0.684593i | \(0.240020\pi\) | ||||
−0.728926 | + | 0.684593i | \(0.759980\pi\) | |||||||
\(314\) | −3.69265 | + | 0.989442i | −0.208388 | + | 0.0558375i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 15.3115 | − | 8.84009i | 0.861338 | − | 0.497294i | ||||
\(317\) | 18.9182 | − | 18.9182i | 1.06255 | − | 1.06255i | 0.0646418 | − | 0.997909i | \(-0.479410\pi\) |
0.997909 | − | 0.0646418i | \(-0.0205905\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.96535 | + | 22.2630i | −0.333996 | + | 1.24649i | ||||
\(320\) | −7.42492 | + | 7.42492i | −0.415065 | + | 0.415065i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.08890 | + | 0.652341i | 0.0606820 | + | 0.0363535i | ||||
\(323\) | −37.2017 | + | 9.96817i | −2.06996 | + | 0.554644i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −5.22494 | + | 7.93163i | −0.289827 | + | 0.439968i | ||||
\(326\) | −4.36148 | −0.241560 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 1.09105 | + | 0.629918i | 0.0602432 | + | 0.0347814i | ||||
\(329\) | −9.57071 | − | 17.2129i | −0.527650 | − | 0.948979i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 13.9589 | + | 3.74029i | 0.767253 | + | 0.205585i | 0.621157 | − | 0.783686i | \(-0.286663\pi\) |
0.146095 | + | 0.989271i | \(0.453329\pi\) | |||||||
\(332\) | −3.01209 | − | 0.807087i | −0.165310 | − | 0.0442947i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.73883 | − | 1.58126i | 0.149862 | − | 0.0865229i | ||||
\(335\) | −3.80746 | + | 6.59471i | −0.208024 | + | 0.360307i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 5.15524i | − | 0.280824i | −0.990093 | − | 0.140412i | \(-0.955157\pi\) | ||
0.990093 | − | 0.140412i | \(-0.0448426\pi\) | |||||||
\(338\) | 2.28082 | − | 1.79809i | 0.124060 | − | 0.0978030i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 5.87512 | + | 21.9263i | 0.318623 | + | 1.18912i | ||||
\(341\) | −5.79134 | − | 3.34363i | −0.313619 | − | 0.181068i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 13.7145 | − | 12.4463i | 0.740515 | − | 0.672040i | ||||
\(344\) | 6.48216 | + | 1.73689i | 0.349495 | + | 0.0936469i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.05232 | − | 3.05232i | 0.164094 | − | 0.164094i | ||||
\(347\) | −11.9012 | − | 20.6134i | −0.638888 | − | 1.10659i | −0.985677 | − | 0.168643i | \(-0.946062\pi\) |
0.346789 | − | 0.937943i | \(-0.387272\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.16538 | + | 11.8134i | 0.169439 | + | 0.632355i | 0.997432 | + | 0.0716166i | \(0.0228158\pi\) |
−0.827993 | + | 0.560738i | \(0.810518\pi\) | |||||||
\(350\) | 0.0251399 | − | 1.55688i | 0.00134378 | − | 0.0832189i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 11.2036 | 0.597156 | ||||||||
\(353\) | −16.5186 | + | 4.42614i | −0.879196 | + | 0.235580i | −0.670060 | − | 0.742307i | \(-0.733732\pi\) |
−0.209136 | + | 0.977887i | \(0.567065\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −4.18744 | − | 7.25286i | −0.222246 | − | 0.384942i | ||||
\(356\) | 1.15799 | + | 1.15799i | 0.0613734 | + | 0.0613734i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −0.237773 | + | 0.887382i | −0.0125667 | + | 0.0468996i | ||||
\(359\) | −14.6210 | − | 14.6210i | −0.771665 | − | 0.771665i | 0.206733 | − | 0.978397i | \(-0.433717\pi\) |
−0.978397 | + | 0.206733i | \(0.933717\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.97423 | − | 3.44922i | −0.314433 | − | 0.181538i | ||||
\(362\) | −0.121228 | − | 0.452427i | −0.00637158 | − | 0.0237790i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.14840 | − | 17.5572i | 0.322264 | − | 0.920248i | ||||
\(365\) | −17.4972 | −0.915846 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.401157 | − | 0.231608i | −0.0209402 | − | 0.0120898i | 0.489493 | − | 0.872007i | \(-0.337182\pi\) |
−0.510434 | + | 0.859917i | \(0.670515\pi\) | |||||||
\(368\) | 6.88672 | − | 3.97605i | 0.358995 | − | 0.207266i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.260164 | − | 0.970945i | 0.0135253 | − | 0.0504770i | ||||
\(371\) | −9.56853 | + | 33.5348i | −0.496774 | + | 1.74104i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −0.348917 | − | 0.604342i | −0.0180662 | − | 0.0312916i | 0.856851 | − | 0.515564i | \(-0.172418\pi\) |
−0.874917 | + | 0.484273i | \(0.839084\pi\) | |||||||
\(374\) | 3.65371 | − | 6.32841i | 0.188929 | − | 0.327234i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 6.56923 | 0.338782 | ||||||||
\(377\) | −17.1891 | + | 8.61712i | −0.885283 | + | 0.443804i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.85118 | + | 6.90871i | 0.0950889 | + | 0.354877i | 0.997033 | − | 0.0769763i | \(-0.0245266\pi\) |
−0.901944 | + | 0.431853i | \(0.857860\pi\) | |||||||
\(380\) | −7.63212 | + | 13.2192i | −0.391519 | + | 0.678132i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.33355 | + | 1.33355i | −0.0682305 | + | 0.0682305i | ||||
\(383\) | 0.496583 | − | 1.85327i | 0.0253742 | − | 0.0946979i | −0.952078 | − | 0.305857i | \(-0.901057\pi\) |
0.977452 | + | 0.211159i | \(0.0677238\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −12.6355 | + | 12.2340i | −0.643967 | + | 0.623500i | ||||
\(386\) | −0.227416 | − | 0.393895i | −0.0115751 | − | 0.0200487i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 8.50023 | + | 31.7233i | 0.431534 | + | 1.61051i | ||||
\(389\) | − | 6.17075i | − | 0.312870i | −0.987688 | − | 0.156435i | \(-0.950000\pi\) | ||
0.987688 | − | 0.156435i | \(-0.0500001\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 16.2521i | − | 0.821903i | ||||||
\(392\) | 1.40536 | + | 6.01549i | 0.0709814 | + | 0.303828i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −2.59391 | + | 1.49759i | −0.130679 | + | 0.0754477i | ||||
\(395\) | −9.86057 | − | 9.86057i | −0.496139 | − | 0.496139i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −30.1243 | − | 8.07177i | −1.51189 | − | 0.405111i | −0.594830 | − | 0.803852i | \(-0.702780\pi\) |
−0.917063 | + | 0.398741i | \(0.869447\pi\) | |||||||
\(398\) | 1.19058 | − | 1.19058i | 0.0596782 | − | 0.0596782i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −8.44780 | − | 4.87734i | −0.422390 | − | 0.243867i | ||||
\(401\) | −24.2526 | + | 6.49846i | −1.21112 | + | 0.324517i | −0.807199 | − | 0.590279i | \(-0.799018\pi\) |
−0.403916 | + | 0.914796i | \(0.632351\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.12419 | − | 5.46441i | −0.0559999 | − | 0.272202i | ||||
\(404\) | − | 21.3958i | − | 1.06448i | ||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 1.61999 | − | 2.70412i | 0.0803988 | − | 0.134203i | ||||
\(407\) | 10.9488 | − | 6.32129i | 0.542712 | − | 0.313335i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 3.92450 | − | 14.6464i | 0.194054 | − | 0.724219i | −0.798456 | − | 0.602053i | \(-0.794349\pi\) |
0.992510 | − | 0.122165i | \(-0.0389838\pi\) | |||||||
\(410\) | 0.126966 | − | 0.473844i | 0.00627041 | − | 0.0234015i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −7.94138 | + | 4.58496i | −0.391244 | + | 0.225885i | ||||
\(413\) | −12.3003 | + | 20.5318i | −0.605257 | + | 1.01031i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 2.45954i | 0.120734i | ||||||||
\(416\) | 6.20855 | + | 6.98666i | 0.304399 | + | 0.342549i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 4.74638 | − | 1.27179i | 0.232153 | − | 0.0622052i | ||||
\(419\) | −3.99149 | − | 2.30449i | −0.194997 | − | 0.112582i | 0.399323 | − | 0.916810i | \(-0.369245\pi\) |
−0.594320 | + | 0.804229i | \(0.702579\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.6437 | − | 12.6437i | 0.616216 | − | 0.616216i | −0.328342 | − | 0.944559i | \(-0.606490\pi\) |
0.944559 | + | 0.328342i | \(0.106490\pi\) | |||||||
\(422\) | −3.66129 | − | 0.981041i | −0.178229 | − | 0.0477563i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −8.22509 | − | 8.22509i | −0.399446 | − | 0.399446i | ||||
\(425\) | −17.2652 | + | 9.96804i | −0.837483 | + | 0.483521i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −7.57004 | − | 30.1936i | −0.366340 | − | 1.46117i | ||||
\(428\) | 25.5581i | 1.23540i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | − | 2.61309i | − | 0.126014i | ||||||
\(431\) | −2.12448 | − | 7.92867i | −0.102333 | − | 0.381911i | 0.895696 | − | 0.444666i | \(-0.146678\pi\) |
−0.998029 | + | 0.0627557i | \(0.980011\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 8.67779 | + | 15.0304i | 0.417028 | + | 0.722314i | 0.995639 | − | 0.0932901i | \(-0.0297384\pi\) |
−0.578611 | + | 0.815604i | \(0.696405\pi\) | |||||||
\(434\) | 0.636190 | + | 0.657073i | 0.0305381 | + | 0.0315405i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −0.622458 | + | 2.32305i | −0.0298103 | + | 0.111254i | ||||
\(437\) | 7.72766 | − | 7.72766i | 0.369664 | − | 0.369664i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −7.78946 | + | 13.4917i | −0.371771 | + | 0.643926i | −0.989838 | − | 0.142199i | \(-0.954583\pi\) |
0.618067 | + | 0.786125i | \(0.287916\pi\) | |||||||
\(440\) | −1.51834 | − | 5.66652i | −0.0723840 | − | 0.270141i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 5.97116 | − | 1.22844i | 0.284019 | − | 0.0584311i | ||||
\(443\) | 30.0278 | 1.42667 | 0.713333 | − | 0.700825i | \(-0.247185\pi\) | ||||
0.713333 | + | 0.700825i | \(0.247185\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0.645833 | − | 1.11862i | 0.0306154 | − | 0.0530274i | ||||
\(446\) | 1.40967 | + | 2.44162i | 0.0667499 | + | 0.115614i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 17.3690 | + | 4.95593i | 0.820609 | + | 0.234145i | ||||
\(449\) | −1.79908 | + | 6.71427i | −0.0849040 | + | 0.316866i | −0.995296 | − | 0.0968807i | \(-0.969113\pi\) |
0.910392 | + | 0.413747i | \(0.135780\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5.34327 | − | 3.08494i | 0.251605 | − | 0.145264i | ||||
\(452\) | −20.9877 | − | 12.1173i | −0.987179 | − | 0.569948i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.39550 | −0.206291 | ||||||||
\(455\) | −14.6312 | − | 1.10009i | −0.685923 | − | 0.0515732i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 5.76514 | + | 21.5158i | 0.269682 | + | 1.00647i | 0.959322 | + | 0.282314i | \(0.0911020\pi\) |
−0.689640 | + | 0.724152i | \(0.742231\pi\) | |||||||
\(458\) | −5.42445 | − | 3.13181i | −0.253468 | − | 0.146340i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.55459 | − | 4.55459i | −0.212359 | − | 0.212359i | ||||
\(461\) | 3.01705 | − | 11.2598i | 0.140518 | − | 0.524420i | −0.859396 | − | 0.511311i | \(-0.829160\pi\) |
0.999914 | − | 0.0131099i | \(-0.00417312\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 16.6774 | + | 16.6774i | 0.775063 | + | 0.775063i | 0.978987 | − | 0.203924i | \(-0.0653694\pi\) |
−0.203924 | + | 0.978987i | \(0.565369\pi\) | |||||||
\(464\) | −9.87392 | − | 17.1021i | −0.458385 | − | 0.793947i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.35005 | + | 0.629695i | −0.108864 | + | 0.0291700i | ||||
\(467\) | 17.0336 | 0.788223 | 0.394111 | − | 0.919063i | \(-0.371052\pi\) | ||||
0.394111 | + | 0.919063i | \(0.371052\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 13.0970 | + | 0.211485i | 0.604765 | + | 0.00976549i | ||||
\(470\) | −0.662046 | − | 2.47079i | −0.0305379 | − | 0.113969i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −3.99168 | − | 6.91379i | −0.183732 | − | 0.318233i | ||||
\(473\) | 23.2393 | − | 23.2393i | 1.06855 | − | 1.06855i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −12.9491 | − | 3.46969i | −0.594143 | − | 0.159200i | ||||
\(476\) | 28.0524 | − | 27.1609i | 1.28578 | − | 1.24492i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.74724 | − | 1.58612i | −0.125656 | − | 0.0725475i | ||||
\(479\) | −8.69175 | − | 32.4380i | −0.397136 | − | 1.48213i | −0.818111 | − | 0.575060i | \(-0.804979\pi\) |
0.420976 | − | 0.907072i | \(-0.361688\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 10.0093 | + | 3.32477i | 0.456386 | + | 0.151596i | ||||
\(482\) | − | 3.49958i | − | 0.159402i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 7.48725 | − | 12.9683i | 0.340330 | − | 0.589468i | ||||
\(485\) | 22.4334 | − | 12.9519i | 1.01865 | − | 0.588117i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.78357 | − | 1.01381i | −0.171450 | − | 0.0459399i | 0.172073 | − | 0.985084i | \(-0.444954\pi\) |
−0.343523 | + | 0.939144i | \(0.611620\pi\) | |||||||
\(488\) | 10.0291 | + | 2.68728i | 0.453994 | + | 0.121647i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.12089 | − | 1.13482i | 0.0958119 | − | 0.0512659i | ||||
\(491\) | 6.15458 | + | 3.55335i | 0.277752 | + | 0.160360i | 0.632405 | − | 0.774638i | \(-0.282068\pi\) |
−0.354653 | + | 0.934998i | \(0.615401\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −40.3596 | −1.81770 | ||||||||
\(494\) | 3.42332 | + | 2.25510i | 0.154023 | + | 0.101462i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.53442 | − | 1.48294i | 0.248503 | − | 0.0665861i | ||||
\(497\) | −7.40349 | + | 12.3580i | −0.332092 | + | 0.554334i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 5.42530 | − | 5.42530i | 0.242870 | − | 0.242870i | −0.575167 | − | 0.818036i | \(-0.695063\pi\) |
0.818036 | + | 0.575167i | \(0.195063\pi\) | |||||||
\(500\) | −5.92654 | + | 22.1181i | −0.265043 | + | 0.989153i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −3.40746 | + | 3.40746i | −0.152082 | + | 0.152082i | ||||
\(503\) | −11.4527 | + | 6.61222i | −0.510651 | + | 0.294824i | −0.733101 | − | 0.680120i | \(-0.761928\pi\) |
0.222450 | + | 0.974944i | \(0.428594\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.3005 | + | 4.36772i | −0.725364 | + | 0.194361i | ||||
\(506\) | 2.07352i | 0.0921792i | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 12.4148 | 0.550816 | ||||||||
\(509\) | −38.3913 | + | 10.2869i | −1.70167 | + | 0.455960i | −0.973358 | − | 0.229290i | \(-0.926360\pi\) |
−0.728308 | + | 0.685250i | \(0.759693\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 14.6261 | + | 26.3050i | 0.647019 | + | 1.16366i | ||||
\(512\) | −11.4092 | + | 11.4092i | −0.504221 | + | 0.504221i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −0.457294 | − | 0.122531i | −0.0201704 | − | 0.00540463i | ||||
\(515\) | 5.11423 | + | 5.11423i | 0.225360 | + | 0.225360i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 16.0860 | − | 27.8617i | 0.707460 | − | 1.22536i | ||||
\(518\) | −1.67717 | + | 0.420495i | −0.0736907 | + | 0.0184755i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 2.69228 | − | 4.08698i | 0.118064 | − | 0.179226i | ||||
\(521\) | 9.34550i | 0.409434i | 0.978821 | + | 0.204717i | \(0.0656274\pi\) | ||||
−0.978821 | + | 0.204717i | \(0.934373\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −16.9149 | − | 9.76580i | −0.739635 | − | 0.427028i | 0.0823016 | − | 0.996607i | \(-0.473773\pi\) |
−0.821937 | + | 0.569579i | \(0.807106\pi\) | |||||||
\(524\) | 3.64177 | + | 6.30773i | 0.159091 | + | 0.275554i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 2.38755 | + | 0.639743i | 0.104102 | + | 0.0278941i | ||||
\(527\) | 3.03076 | − | 11.3110i | 0.132022 | − | 0.492713i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −9.19419 | − | 15.9248i | −0.399748 | − | 0.692383i | ||||
\(530\) | −2.26466 | + | 3.92251i | −0.0983706 | + | 0.170383i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 26.2533 | + | 0.423927i | 1.13822 | + | 0.0183796i | ||||
\(533\) | 4.88479 | + | 1.62256i | 0.211584 | + | 0.0702811i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 19.4716 | − | 5.21741i | 0.841833 | − | 0.225568i | ||||
\(536\) | −2.18456 | + | 3.78376i | −0.0943585 | + | 0.163434i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −4.34985 | − | 4.34985i | −0.187536 | − | 0.187536i | ||||
\(539\) | 28.9545 | + | 8.76956i | 1.24716 | + | 0.377732i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −0.184083 | − | 0.184083i | −0.00791436 | − | 0.00791436i | 0.703139 | − | 0.711053i | \(-0.251781\pi\) |
−0.711053 | + | 0.703139i | \(0.751781\pi\) | |||||||
\(542\) | −2.84232 | + | 1.64102i | −0.122088 | + | 0.0704877i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 5.07764 | + | 18.9500i | 0.217702 | + | 0.812475i | ||||
\(545\) | 1.89690 | 0.0812542 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −26.9425 | −1.15198 | −0.575990 | − | 0.817457i | \(-0.695383\pi\) | ||||
−0.575990 | + | 0.817457i | \(0.695383\pi\) | |||||||
\(548\) | 0.0154781 | + | 0.0577651i | 0.000661192 | + | 0.00246760i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 2.20277 | − | 1.27177i | 0.0939265 | − | 0.0542285i | ||||
\(551\) | −19.1905 | − | 19.1905i | −0.817543 | − | 0.817543i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −6.58166 | + | 23.0667i | −0.279880 | + | 0.980896i | ||||
\(554\) | −0.822003 | − | 0.822003i | −0.0349236 | − | 0.0349236i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 3.21506 | − | 5.56864i | 0.136349 | − | 0.236163i | ||||
\(557\) | −29.5799 | + | 7.92591i | −1.25334 | + | 0.335832i | −0.823626 | − | 0.567133i | \(-0.808052\pi\) |
−0.429715 | + | 0.902965i | \(0.641386\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 27.3704 | + | 1.61400i | 1.15765 | + | 0.0682651i | ||||
\(560\) | 0.243299 | − | 15.0672i | 0.0102812 | − | 0.636705i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 1.70035 | − | 2.94510i | 0.0717250 | − | 0.124231i | ||||
\(563\) | 7.49329 | + | 12.9788i | 0.315804 | + | 0.546989i | 0.979608 | − | 0.200917i | \(-0.0643923\pi\) |
−0.663804 | + | 0.747907i | \(0.731059\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.94722 | + | 18.4633i | −0.208131 | + | 0.776756i | ||||
\(566\) | −0.877680 | − | 0.235174i | −0.0368917 | − | 0.00988509i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.40258 | − | 4.16138i | −0.100810 | − | 0.174608i | ||||
\(569\) | −6.07156 | − | 3.50542i | −0.254533 | − | 0.146955i | 0.367305 | − | 0.930101i | \(-0.380280\pi\) |
−0.621838 | + | 0.783146i | \(0.713614\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 0.237494i | − | 0.00993882i | −0.999988 | − | 0.00496941i | \(-0.998418\pi\) | ||
0.999988 | − | 0.00496941i | \(-0.00158182\pi\) | |||||||
\(572\) | 29.7646 | − | 6.12345i | 1.24452 | − | 0.256034i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.818500 | + | 0.205212i | −0.0341635 | + | 0.00856537i | ||||
\(575\) | 2.82848 | − | 4.89908i | 0.117956 | − | 0.204306i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −3.41695 | − | 3.41695i | −0.142250 | − | 0.142250i | 0.632396 | − | 0.774645i | \(-0.282072\pi\) |
−0.774645 | + | 0.632396i | \(0.782072\pi\) | |||||||
\(578\) | 8.69131 | + | 2.32883i | 0.361511 | + | 0.0968665i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −11.3107 | + | 11.3107i | −0.469649 | + | 0.469649i | ||||
\(581\) | 3.69763 | − | 2.05595i | 0.153403 | − | 0.0852952i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −55.0253 | + | 14.7440i | −2.27891 | + | 0.610633i | ||||
\(584\) | −10.0392 | −0.415424 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 4.93076i | 0.203688i | ||||||||
\(587\) | 7.16064 | − | 1.91869i | 0.295551 | − | 0.0791927i | −0.107997 | − | 0.994151i | \(-0.534444\pi\) |
0.403548 | + | 0.914959i | \(0.367777\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 6.81931 | − | 3.93713i | 0.280985 | − | 0.162227i | ||||
\(590\) | −2.19810 | + | 2.19810i | −0.0904945 | + | 0.0904945i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −2.80357 | + | 10.4631i | −0.115226 | + | 0.430030i | ||||
\(593\) | −20.9219 | + | 20.9219i | −0.859161 | + | 0.859161i | −0.991239 | − | 0.132078i | \(-0.957835\pi\) |
0.132078 | + | 0.991239i | \(0.457835\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −26.4193 | − | 15.8274i | −1.08309 | − | 0.648859i | ||||
\(596\) | −8.82700 | + | 2.36519i | −0.361568 | + | 0.0968818i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.29306 | + | 1.14905i | −0.0528771 | + | 0.0469882i | ||||
\(599\) | 35.0083 | 1.43040 | 0.715199 | − | 0.698920i | \(-0.246336\pi\) | ||||
0.715199 | + | 0.698920i | \(0.246336\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −25.0031 | − | 14.4355i | −1.01990 | − | 0.588838i | −0.105823 | − | 0.994385i | \(-0.533748\pi\) |
−0.914074 | + | 0.405547i | \(0.867081\pi\) | |||||||
\(602\) | −3.92846 | + | 2.18430i | −0.160112 | + | 0.0890254i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −12.6526 | − | 3.39025i | −0.514826 | − | 0.137947i | ||||
\(605\) | −11.4084 | − | 3.05688i | −0.463819 | − | 0.124280i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 22.1458 | − | 12.7859i | 0.898871 | − | 0.518964i | 0.0220376 | − | 0.999757i | \(-0.492985\pi\) |
0.876834 | + | 0.480793i | \(0.159651\pi\) | |||||||
\(608\) | −6.59615 | + | 11.4249i | −0.267509 | + | 0.463339i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | − | 4.04291i | − | 0.163693i | ||||||
\(611\) | 26.2889 | − | 5.40839i | 1.06353 | − | 0.218800i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −6.84627 | − | 25.5506i | −0.276518 | − | 1.03198i | −0.954817 | − | 0.297194i | \(-0.903949\pi\) |
0.678299 | − | 0.734786i | \(-0.262718\pi\) | |||||||
\(614\) | 2.62767 | + | 1.51708i | 0.106044 | + | 0.0612245i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −7.24974 | + | 7.01933i | −0.292100 | + | 0.282817i | ||||
\(617\) | 41.2766 | + | 11.0600i | 1.66173 | + | 0.445260i | 0.962864 | − | 0.269988i | \(-0.0870199\pi\) |
0.698870 | + | 0.715249i | \(0.253687\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 7.36404 | − | 7.36404i | 0.295986 | − | 0.295986i | −0.543453 | − | 0.839439i | \(-0.682884\pi\) |
0.839439 | + | 0.543453i | \(0.182884\pi\) | |||||||
\(620\) | −2.32050 | − | 4.01922i | −0.0931935 | − | 0.161416i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −0.937855 | − | 3.50012i | −0.0376046 | − | 0.140342i | ||||
\(623\) | −2.22156 | − | 0.0358728i | −0.0890050 | − | 0.00143722i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 4.88945 | 0.195578 | ||||||||
\(626\) | 5.22738 | − | 1.40067i | 0.208928 | − | 0.0559822i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.6845 | − | 28.8983i | −0.665782 | − | 1.15317i | ||||
\(629\) | 15.6541 | + | 15.6541i | 0.624169 | + | 0.624169i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −3.47681 | + | 12.9756i | −0.138410 | + | 0.516552i | 0.861551 | + | 0.507671i | \(0.169494\pi\) |
−0.999961 | + | 0.00888079i | \(0.997173\pi\) | |||||||
\(632\) | −5.65758 | − | 5.65758i | −0.225046 | − | 0.225046i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.17644 | − | 2.98862i | −0.205583 | − | 0.118693i | ||||
\(635\) | −2.53434 | − | 9.45828i | −0.100572 | − | 0.375340i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 10.5765 | + | 22.9159i | 0.419056 | + | 0.907960i | ||||
\(638\) | 5.14927 | 0.203862 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.93765 | + | 5.16016i | 0.353292 | + | 0.203973i | ||||
\(641\) | 9.03607 | − | 5.21698i | 0.356903 | − | 0.206058i | −0.310818 | − | 0.950469i | \(-0.600603\pi\) |
0.667722 | + | 0.744411i | \(0.267270\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −2.33827 | + | 8.72656i | −0.0922125 | + | 0.344142i | −0.996582 | − | 0.0826083i | \(-0.973675\pi\) |
0.904370 | + | 0.426750i | \(0.140342\pi\) | |||||||
\(644\) | −3.04007 | + | 10.6545i | −0.119795 | + | 0.419846i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.30225 | + | 7.45171i | 0.169270 | + | 0.293184i | ||||
\(647\) | 4.86550 | − | 8.42729i | 0.191283 | − | 0.331311i | −0.754393 | − | 0.656423i | \(-0.772069\pi\) |
0.945676 | + | 0.325112i | \(0.105402\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −39.0974 | −1.53471 | ||||||||
\(650\) | 2.01376 | + | 0.668905i | 0.0789863 | + | 0.0262366i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −9.85322 | − | 36.7727i | −0.385882 | − | 1.44013i | ||||
\(653\) | −19.3917 | + | 33.5874i | −0.758855 | + | 1.31437i | 0.184580 | + | 0.982817i | \(0.440907\pi\) |
−0.943435 | + | 0.331557i | \(0.892426\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.06217 | − | 4.06217i | 0.158722 | − | 0.158722i | ||||
\(656\) | −1.36821 | + | 5.10623i | −0.0534196 | + | 0.199365i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −3.16113 | + | 3.06066i | −0.123233 | + | 0.119317i | ||||
\(659\) | −16.5452 | − | 28.6571i | −0.644509 | − | 1.11632i | −0.984415 | − | 0.175863i | \(-0.943728\pi\) |
0.339905 | − | 0.940460i | \(-0.389605\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 3.34087 | + | 12.4683i | 0.129945 | + | 0.484960i | 0.999968 | − | 0.00805129i | \(-0.00256283\pi\) |
−0.870023 | + | 0.493011i | \(0.835896\pi\) | |||||||
\(662\) | − | 3.22860i | − | 0.125483i | ||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.41118i | 0.0547645i | ||||||||
\(665\) | −5.03635 | − | 20.0878i | −0.195301 | − | 0.778971i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 9.91794 | − | 5.72612i | 0.384024 | − | 0.221716i | ||||
\(668\) | 19.5194 | + | 19.5194i | 0.755229 | + | 0.755229i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 1.64329 | + | 0.440319i | 0.0634859 | + | 0.0170110i | ||||
\(671\) | 35.9554 | − | 35.9554i | 1.38804 | − | 1.38804i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 22.5255 | + | 13.0051i | 0.868295 | + | 0.501310i | 0.866781 | − | 0.498689i | \(-0.166185\pi\) |
0.00151340 | + | 0.999999i | \(0.499518\pi\) | |||||||
\(674\) | −1.11250 | + | 0.298092i | −0.0428517 | + | 0.0114821i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 20.3128 | + | 15.1680i | 0.781262 | + | 0.583386i | ||||
\(677\) | − | 41.0161i | − | 1.57638i | −0.615434 | − | 0.788188i | \(-0.711019\pi\) | ||
0.615434 | − | 0.788188i | \(-0.288981\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −38.2240 | − | 22.8993i | −1.46690 | − | 0.878795i | ||||
\(680\) | 8.89631 | − | 5.13629i | 0.341158 | − | 0.196968i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.386679 | + | 1.44311i | −0.0148067 | + | 0.0552594i | ||||
\(683\) | −8.69145 | + | 32.4369i | −0.332569 | + | 1.24116i | 0.573912 | + | 0.818917i | \(0.305425\pi\) |
−0.906481 | + | 0.422247i | \(0.861241\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0.0408491 | − | 0.0235842i | 0.00156076 | − | 0.000901107i | ||||
\(686\) | −3.47893 | − | 2.23990i | −0.132826 | − | 0.0855197i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 28.1591i | 1.07356i | ||||||||
\(689\) | −39.6870 | − | 26.1437i | −1.51195 | − | 0.995994i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 33.3878 | − | 8.94624i | 1.27013 | − | 0.340331i | 0.440051 | − | 0.897973i | \(-0.354960\pi\) |
0.830082 | + | 0.557642i | \(0.188294\pi\) | |||||||
\(692\) | 32.6305 | + | 18.8392i | 1.24043 | + | 0.716160i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −3.76020 | + | 3.76020i | −0.142735 | + | 0.142735i | ||||
\(695\) | −4.89884 | − | 1.31264i | −0.185823 | − | 0.0497912i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 7.63956 | + | 7.63956i | 0.289369 | + | 0.289369i | ||||
\(698\) | 2.36628 | − | 1.36617i | 0.0895651 | − | 0.0517104i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 13.1833 | − | 3.30526i | 0.498280 | − | 0.124927i | ||||
\(701\) | − | 4.79362i | − | 0.181053i | −0.995894 | − | 0.0905263i | \(-0.971145\pi\) | ||
0.995894 | − | 0.0905263i | \(-0.0288549\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 14.8867i | 0.561461i | ||||||||
\(704\) | 7.63649 | + | 28.4998i | 0.287811 | + | 1.07413i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 1.91032 | + | 3.30876i | 0.0718957 | + | 0.124527i | ||||
\(707\) | 20.1921 | + | 20.8549i | 0.759402 | + | 0.784329i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 2.76549 | − | 10.3209i | 0.103860 | − | 0.387611i | −0.894353 | − | 0.447361i | \(-0.852364\pi\) |
0.998213 | + | 0.0597505i | \(0.0190305\pi\) | |||||||
\(710\) | −1.32303 | + | 1.32303i | −0.0496524 | + | 0.0496524i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0.370552 | − | 0.641814i | 0.0138870 | − | 0.0240530i | ||||
\(713\) | 0.859994 | + | 3.20954i | 0.0322070 | + | 0.120198i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.7413 | − | 21.4263i | −0.401703 | − | 0.801300i | ||||
\(716\) | −8.01890 | −0.299680 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.30976 | + | 4.00062i | −0.0861995 | + | 0.149302i | ||||
\(719\) | 14.9272 | + | 25.8547i | 0.556690 | + | 0.964216i | 0.997770 | + | 0.0667479i | \(0.0212623\pi\) |
−0.441080 | + | 0.897468i | \(0.645404\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.41361 | − | 11.9637i | 0.127129 | − | 0.445550i | ||||
\(722\) | −0.398890 | + | 1.48868i | −0.0148452 | + | 0.0554029i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.54065 | − | 2.04420i | 0.131587 | − | 0.0759720i | ||||
\(725\) | −12.1661 | − | 7.02412i | −0.451839 | − | 0.260869i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 41.2241 | 1.52892 | 0.764459 | − | 0.644672i | \(-0.223006\pi\) | ||||
0.764459 | + | 0.644672i | \(0.223006\pi\) | |||||||
\(728\) | −8.39478 | − | 0.631188i | −0.311131 | − | 0.0233934i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 1.01175 | + | 3.77589i | 0.0374464 | + | 0.139752i | ||||
\(731\) | 49.8398 | + | 28.7750i | 1.84339 | + | 1.06428i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 14.3345 | + | 14.3345i | 0.529456 | + | 0.529456i | 0.920410 | − | 0.390954i | \(-0.127855\pi\) |
−0.390954 | + | 0.920410i | \(0.627855\pi\) | |||||||
\(734\) | −0.0267847 | + | 0.0999617i | −0.000988640 | + | 0.00368965i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.93636 | − | 3.93636i | −0.145096 | − | 0.145096i | ||||
\(737\) | 10.6986 | + | 18.5305i | 0.394087 | + | 0.682579i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 24.4381 | − | 6.54818i | 0.898972 | − | 0.240879i | 0.220397 | − | 0.975410i | \(-0.429265\pi\) |
0.678575 | + | 0.734532i | \(0.262598\pi\) | |||||||
\(740\) | 8.77402 | 0.322539 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 7.79007 | + | 0.125791i | 0.285982 | + | 0.00461793i | ||||
\(743\) | −10.9162 | − | 40.7397i | −0.400476 | − | 1.49460i | −0.812250 | − | 0.583310i | \(-0.801757\pi\) |
0.411774 | − | 0.911286i | \(-0.364909\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 3.60387 | + | 6.24209i | 0.132036 | + | 0.228693i | ||||
\(746\) | −0.110241 | + | 0.110241i | −0.00403621 | + | 0.00403621i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 61.6106 | + | 16.5085i | 2.25271 | + | 0.603611i | ||||
\(749\) | −24.1203 | − | 24.9120i | −0.881335 | − | 0.910265i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −6.23654 | − | 3.60067i | −0.227574 | − | 0.131390i | 0.381878 | − | 0.924213i | \(-0.375277\pi\) |
−0.609453 | + | 0.792823i | \(0.708611\pi\) | |||||||
\(752\) | 7.13433 | + | 26.6257i | 0.260162 | + | 0.970938i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 2.85350 | + | 3.21112i | 0.103918 | + | 0.116942i | ||||
\(755\) | 10.3315i | 0.376004i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −11.5449 | + | 19.9964i | −0.419607 | + | 0.726780i | −0.995900 | − | 0.0904628i | \(-0.971165\pi\) |
0.576293 | + | 0.817243i | \(0.304499\pi\) | |||||||
\(758\) | 1.38385 | − | 0.798968i | 0.0502638 | − | 0.0290198i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 6.67233 | + | 1.78785i | 0.242031 | + | 0.0648520i | ||||
\(761\) | −5.76843 | − | 1.54565i | −0.209105 | − | 0.0560296i | 0.152746 | − | 0.988266i | \(-0.451188\pi\) |
−0.361851 | + | 0.932236i | \(0.617855\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1.58563 | − | 2.85176i | −0.0574038 | − | 0.103241i | ||||
\(764\) | −14.2562 | − | 8.23082i | −0.515771 | − | 0.297780i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.428649 | −0.0154877 | ||||||||
\(767\) | −21.6660 | − | 24.3814i | −0.782315 | − | 0.880362i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −32.9326 | + | 8.82426i | −1.18758 | + | 0.318211i | −0.797929 | − | 0.602752i | \(-0.794071\pi\) |
−0.389650 | + | 0.920963i | \(0.627404\pi\) | |||||||
\(770\) | 3.37071 | + | 2.01933i | 0.121472 | + | 0.0727717i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.80726 | − | 2.80726i | 0.101036 | − | 0.101036i | ||||
\(773\) | 0.0200118 | − | 0.0746850i | 0.000719774 | − | 0.00268623i | −0.965565 | − | 0.260162i | \(-0.916224\pi\) |
0.966285 | + | 0.257476i | \(0.0828907\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 2.88214 | − | 2.88214i | 0.103530 | − | 0.103530i | ||||
\(776\) | 12.8713 | − | 7.43127i | 0.462054 | − | 0.266767i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −1.33164 | + | 0.356813i | −0.0477417 | + | 0.0127924i | ||||
\(779\) | 7.26504i | 0.260297i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −23.5326 | −0.842063 | ||||||||
\(782\) | −3.50718 | + | 0.939747i | −0.125417 | + | 0.0336053i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −22.8551 | + | 12.2290i | −0.816253 | + | 0.436750i | ||||
\(785\) | −18.6105 | + | 18.6105i | −0.664236 | + | 0.664236i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −13.7109 | − | 3.67383i | −0.488742 | − | 0.130958i | 0.00602847 | − | 0.999982i | \(-0.498081\pi\) |
−0.494770 | + | 0.869024i | \(0.664748\pi\) | |||||||
\(788\) | −18.4866 | − | 18.4866i | −0.658558 | − | 0.658558i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −1.55773 | + | 2.69807i | −0.0554216 | + | 0.0959931i | ||||
\(791\) | 31.8927 | − | 7.99605i | 1.13398 | − | 0.284307i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 42.3469 | + | 2.49715i | 1.50378 | + | 0.0886765i | ||||
\(794\) | 6.96753i | 0.247268i | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 12.7277 | + | 7.34835i | 0.451122 | + | 0.260455i | ||||
\(797\) | 4.85453 | + | 8.40830i | 0.171956 | + | 0.297837i | 0.939104 | − | 0.343634i | \(-0.111658\pi\) |
−0.767147 | + | 0.641471i | \(0.778324\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 54.4161 | + | 14.5808i | 1.92510 | + | 0.515830i | ||||
\(800\) | −1.76741 | + | 6.59606i | −0.0624873 | + | 0.233206i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 2.80472 | + | 4.85792i | 0.0990382 | + | 0.171539i | ||||
\(803\) | −24.5827 | + | 42.5786i | −0.867506 | + | 1.50256i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 8.73782 | + | 0.141095i | 0.307968 | + | 0.00497293i | ||||
\(806\) | −1.11421 | + | 0.558569i | −0.0392464 | + | 0.0196748i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −9.35256 | + | 2.50601i | −0.329022 | + | 0.0881612i | ||||
\(809\) | −22.8046 | + | 39.4988i | −0.801768 | + | 1.38870i | 0.116683 | + | 0.993169i | \(0.462774\pi\) |
−0.918451 | + | 0.395534i | \(0.870559\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 6.90491 | + | 6.90491i | 0.242464 | + | 0.242464i | 0.817869 | − | 0.575405i | \(-0.195155\pi\) |
−0.575405 | + | 0.817869i | \(0.695155\pi\) | |||||||
\(812\) | 26.4589 | + | 7.54955i | 0.928525 | + | 0.264937i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −1.99722 | − | 1.99722i | −0.0700027 | − | 0.0700027i | ||||
\(815\) | −26.0042 | + | 15.0135i | −0.910886 | + | 0.525900i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 10.0161 | + | 37.3804i | 0.350417 | + | 1.30778i | ||||
\(818\) | −3.38761 | −0.118445 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 4.28193 | 0.149531 | ||||||||
\(821\) | −4.30181 | − | 16.0546i | −0.150134 | − | 0.560308i | −0.999473 | − | 0.0324603i | \(-0.989666\pi\) |
0.849339 | − | 0.527848i | \(-0.177001\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 8.40900 | − | 4.85494i | 0.293119 | − | 0.169233i | −0.346228 | − | 0.938150i | \(-0.612538\pi\) |
0.639348 | + | 0.768918i | \(0.279204\pi\) | |||||||
\(824\) | 2.93433 | + | 2.93433i | 0.102222 | + | 0.102222i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 5.14200 | + | 1.46717i | 0.178913 | + | 0.0510495i | ||||
\(827\) | 23.2961 | + | 23.2961i | 0.810086 | + | 0.810086i | 0.984647 | − | 0.174560i | \(-0.0558503\pi\) |
−0.174560 | + | 0.984647i | \(0.555850\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 14.7204 | − | 25.4965i | 0.511261 | − | 0.885531i | −0.488653 | − | 0.872478i | \(-0.662512\pi\) |
0.999915 | − | 0.0130527i | \(-0.00415493\pi\) | |||||||
\(830\) | 0.530767 | − | 0.142219i | 0.0184232 | − | 0.00493648i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −13.5408 | + | 20.5555i | −0.469444 | + | 0.712633i | ||||
\(833\) | −1.71043 | + | 52.9485i | −0.0592628 | + | 1.83456i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 10.8863 | − | 18.8557i | 0.376738 | − | 0.652529i | ||||
\(836\) | 21.4455 | + | 37.1447i | 0.741708 | + | 1.28468i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −0.266506 | + | 0.994613i | −0.00920629 | + | 0.0343583i | ||||
\(839\) | 18.5876 | + | 4.98054i | 0.641716 | + | 0.171947i | 0.564981 | − | 0.825104i | \(-0.308884\pi\) |
0.0767354 | + | 0.997051i | \(0.475550\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.280024 | + | 0.485016i | 0.00965600 | + | 0.0167247i | ||||
\(842\) | −3.45960 | − | 1.99740i | −0.119226 | − | 0.0688350i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | − | 33.0856i | − | 1.13885i | ||||||
\(845\) | 7.40925 | − | 18.5719i | 0.254886 | − | 0.638892i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 4.94075 | + | 19.7065i | 0.169766 | + | 0.677123i | ||||
\(848\) | 24.4044 | − | 42.2697i | 0.838051 | − | 1.45155i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 3.14942 | + | 3.14942i | 0.108024 | + | 0.108024i | ||||
\(851\) | −6.06779 | − | 1.62586i | −0.208001 | − | 0.0557337i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −14.9327 | + | 14.9327i | −0.511287 | + | 0.511287i | −0.914921 | − | 0.403634i | \(-0.867747\pi\) |
0.403634 | + | 0.914921i | \(0.367747\pi\) | |||||||
\(854\) | −6.07803 | + | 3.37950i | −0.207986 | + | 0.115644i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 11.1720 | − | 2.99353i | 0.381851 | − | 0.102317i | ||||
\(857\) | −5.36310 | −0.183200 | −0.0916001 | − | 0.995796i | \(-0.529198\pi\) | ||||
−0.0916001 | + | 0.995796i | \(0.529198\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 21.1000i | 0.719923i | 0.932967 | + | 0.359962i | \(0.117210\pi\) | ||||
−0.932967 | + | 0.359962i | \(0.882790\pi\) | |||||||
\(860\) | 22.0316 | − | 5.90334i | 0.751270 | − | 0.201302i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −1.58816 | + | 0.916923i | −0.0540929 | + | 0.0312305i | ||||
\(863\) | −0.437792 | + | 0.437792i | −0.0149026 | + | 0.0149026i | −0.714519 | − | 0.699616i | \(-0.753354\pi\) |
0.699616 | + | 0.714519i | \(0.253354\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 7.69166 | − | 28.7056i | 0.261524 | − | 0.976021i | ||||
\(866\) | 2.74176 | − | 2.74176i | 0.0931690 | − | 0.0931690i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −4.10270 | + | 6.84829i | −0.139255 | + | 0.232446i | ||||
\(869\) | −37.8488 | + | 10.1416i | −1.28393 | + | 0.344029i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.62706 | + | 16.9405i | −0.190666 | + | 0.574006i | ||||
\(872\) | 1.08836 | 0.0368565 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.11446 | − | 1.22079i | −0.0715228 | − | 0.0412937i | ||||
\(875\) | −15.0971 | − | 27.1521i | −0.510375 | − | 0.917909i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −0.601435 | − | 0.161154i | −0.0203090 | − | 0.00544178i | 0.248650 | − | 0.968593i | \(-0.420013\pi\) |
−0.268959 | + | 0.963152i | \(0.586680\pi\) | |||||||
\(878\) | 3.36192 | + | 0.900824i | 0.113459 | + | 0.0304013i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 21.3180 | − | 12.3079i | 0.718628 | − | 0.414900i | ||||
\(881\) | 9.21121 | − | 15.9543i | 0.310333 | − | 0.537513i | −0.668101 | − | 0.744070i | \(-0.732893\pi\) |
0.978435 | + | 0.206557i | \(0.0662260\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 15.8935i | 0.534859i | 0.963577 | + | 0.267429i | \(0.0861742\pi\) | ||||
−0.963577 | + | 0.267429i | \(0.913826\pi\) | |||||||
\(884\) | 23.8470 | + | 47.5691i | 0.802062 | + | 1.59992i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.73631 | − | 6.47998i | −0.0583324 | − | 0.217699i | ||||
\(887\) | 29.3404 | + | 16.9397i | 0.985154 | + | 0.568779i | 0.903822 | − | 0.427908i | \(-0.140749\pi\) |
0.0813318 | + | 0.996687i | \(0.474083\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −12.1009 | + | 11.7163i | −0.405852 | + | 0.392953i | ||||
\(890\) | −0.278740 | − | 0.0746883i | −0.00934340 | − | 0.00250356i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −17.4013 | + | 17.4013i | −0.582638 | + | 0.582638i | ||||
\(893\) | 18.9412 | + | 32.8072i | 0.633844 | + | 1.09785i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 1.63697 | + | 6.10926i | 0.0547179 | + | 0.204210i | ||||
\(896\) | 0.286621 | − | 17.7501i | 0.00957535 | − | 0.592989i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 1.55296 | 0.0518231 | ||||||||
\(899\) | 7.97042 | − | 2.13567i | 0.265828 | − | 0.0712285i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −49.8764 | − | 86.3885i | −1.66162 | − | 2.87802i | ||||
\(902\) | −0.974693 | − | 0.974693i | −0.0324537 | − | 0.0324537i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −2.83850 | + | 10.5934i | −0.0944073 | + | 0.352333i | ||||
\(905\) | −2.28017 | − | 2.28017i | −0.0757956 | − | 0.0757956i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 37.0978 | + | 21.4184i | 1.23181 | + | 0.711187i | 0.967407 | − | 0.253225i | \(-0.0814914\pi\) |
0.264404 | + | 0.964412i | \(0.414825\pi\) | |||||||
\(908\) | −9.93007 | − | 37.0595i | −0.329541 | − | 1.22986i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0.608625 | + | 3.22102i | 0.0201757 | + | 0.106776i | ||||
\(911\) | 9.59124 | 0.317772 | 0.158886 | − | 0.987297i | \(-0.449210\pi\) | ||||
0.158886 | + | 0.987297i | \(0.449210\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 5.98517 | + | 3.45554i | 0.198080 | + | 0.114362i | ||||
\(914\) | 4.30973 | − | 2.48822i | 0.142553 | − | 0.0823032i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.1504 | − | 52.8101i | 0.467543 | − | 1.74489i | ||||
\(917\) | −9.50258 | − | 2.71138i | −0.313803 | − | 0.0895378i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −3.74479 | − | 6.48617i | −0.123529 | − | 0.213959i | 0.797628 | − | 0.603150i | \(-0.206088\pi\) |
−0.921157 | + | 0.389191i | \(0.872755\pi\) | |||||||
\(920\) | −1.45745 | + | 2.52438i | −0.0480507 | + | 0.0832262i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −2.60431 | −0.0857683 | ||||||||
\(923\) | −13.0407 | − | 14.6751i | −0.429240 | − | 0.483036i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 1.99441 | + | 7.44323i | 0.0655757 | + | 0.244732i | ||||
\(926\) | 2.63462 | − | 4.56330i | 0.0865791 | − | 0.149959i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −9.77536 | + | 9.77536i | −0.320892 | + | 0.320892i | ||||
\(929\) | −9.80192 | + | 36.5812i | −0.321590 | + | 1.20019i | 0.596105 | + | 0.802907i | \(0.296714\pi\) |
−0.917695 | + | 0.397285i | \(0.869952\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −25.9897 | + | 24.3631i | −0.851777 | + | 0.798468i | ||||
\(932\) | −10.6182 | − | 18.3913i | −0.347811 | − | 0.602427i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −0.984940 | − | 3.67585i | −0.0322282 | − | 0.120277i | ||||
\(935\) | − | 50.3086i | − | 1.64527i | ||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − | 9.27559i | − | 0.303020i | −0.988456 | − | 0.151510i | \(-0.951586\pi\) | ||
0.988456 | − | 0.151510i | \(-0.0484136\pi\) | |||||||
\(938\) | −0.711675 | − | 2.83856i | −0.0232370 | − | 0.0926822i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 19.3362 | − | 11.1637i | 0.630676 | − | 0.364121i | ||||
\(941\) | −38.7691 | − | 38.7691i | −1.26384 | − | 1.26384i | −0.949219 | − | 0.314617i | \(-0.898124\pi\) |
−0.314617 | − | 0.949219i | \(-0.601876\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −2.96122 | − | 0.793458i | −0.0964307 | − | 0.0258385i | ||||
\(944\) | 23.6872 | − | 23.6872i | 0.770951 | − | 0.770951i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −6.35881 | − | 3.67126i | −0.206743 | − | 0.119363i | ||||
\(947\) | −50.1290 | + | 13.4320i | −1.62898 | + | 0.436483i | −0.953621 | − | 0.301011i | \(-0.902676\pi\) |
−0.675354 | + | 0.737493i | \(0.736009\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −40.1749 | + | 8.26517i | −1.30413 | + | 0.268299i | ||||
\(950\) | 2.99502i | 0.0971714i | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −15.1583 | − | 9.08108i | −0.491283 | − | 0.294319i | ||||
\(953\) | −12.2620 | + | 7.07949i | −0.397206 | + | 0.229327i | −0.685278 | − | 0.728282i | \(-0.740319\pi\) |
0.288072 | + | 0.957609i | \(0.406986\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −3.36046 | + | 12.5414i | −0.108742 | + | 0.405831i | ||||
\(956\) | 7.16655 | − | 26.7459i | 0.231783 | − | 0.865026i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −6.49752 | + | 3.75134i | −0.209925 | + | 0.121200i | ||||
\(959\) | −0.0696022 | − | 0.0416975i | −0.00224757 | − | 0.00134648i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | − | 28.6059i | − | 0.922770i | ||||||
\(962\) | 0.138710 | − | 2.35225i | 0.00447219 | − | 0.0758397i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 29.5058 | − | 7.90606i | 0.950319 | − | 0.254637i | ||||
\(965\) | −2.71181 | − | 1.56566i | −0.0872962 | − | 0.0504005i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −24.4554 | + | 24.4554i | −0.786433 | + | 0.786433i | −0.980908 | − | 0.194474i | \(-0.937700\pi\) |
0.194474 | + | 0.980908i | \(0.437700\pi\) | |||||||
\(968\) | −6.54568 | − | 1.75391i | −0.210386 | − | 0.0563728i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −4.09219 | − | 4.09219i | −0.131392 | − | 0.131392i | ||||
\(971\) | −4.45063 | + | 2.56957i | −0.142828 | + | 0.0824615i | −0.569711 | − | 0.821845i | \(-0.692945\pi\) |
0.426883 | + | 0.904307i | \(0.359611\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 2.12158 | + | 8.46206i | 0.0680148 | + | 0.271281i | ||||
\(974\) | 0.875113i | 0.0280404i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 43.5671i | 1.39455i | ||||||||
\(977\) | 4.45430 | + | 16.6237i | 0.142506 | + | 0.531839i | 0.999854 | + | 0.0171015i | \(0.00544385\pi\) |
−0.857348 | + | 0.514737i | \(0.827889\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −1.81473 | − | 3.14320i | −0.0579989 | − | 0.100457i | ||||
\(980\) | 14.3593 | + | 15.3180i | 0.458692 | + | 0.489316i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0.410932 | − | 1.53362i | 0.0131134 | − | 0.0489398i | ||||
\(983\) | −13.7631 | + | 13.7631i | −0.438975 | + | 0.438975i | −0.891667 | − | 0.452692i | \(-0.850464\pi\) |
0.452692 | + | 0.891667i | \(0.350464\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.3103 | + | 17.8580i | −0.328514 | + | 0.569003i | ||||
\(986\) | 2.33372 | + | 8.70957i | 0.0743209 | + | 0.277369i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −11.2795 | + | 33.9575i | −0.358850 | + | 1.08033i | ||||
\(989\) | −16.3301 | −0.519268 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −22.9230 | + | 39.7039i | −0.728174 | + | 1.26124i | 0.229480 | + | 0.973313i | \(0.426298\pi\) |
−0.957654 | + | 0.287922i | \(0.907036\pi\) | |||||||
\(992\) | −2.00552 | − | 3.47366i | −0.0636753 | − | 0.110289i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 3.09495 | + | 0.883086i | 0.0981658 | + | 0.0280098i | ||||
\(995\) | 3.00017 | − | 11.1968i | 0.0951119 | − | 0.354963i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 26.8851 | − | 15.5221i | 0.851461 | − | 0.491591i | −0.00968271 | − | 0.999953i | \(-0.503082\pi\) |
0.861143 | + | 0.508362i | \(0.169749\pi\) | |||||||
\(998\) | −1.48448 | − | 0.857066i | −0.0469905 | − | 0.0271300i | ||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.fm.e.370.3 | 32 | ||
3.2 | odd | 2 | 273.2.by.d.97.6 | yes | 32 | ||
7.6 | odd | 2 | 819.2.fm.f.370.3 | 32 | |||
13.11 | odd | 12 | 819.2.fm.f.622.3 | 32 | |||
21.20 | even | 2 | 273.2.by.c.97.6 | yes | 32 | ||
39.11 | even | 12 | 273.2.by.c.76.6 | ✓ | 32 | ||
91.76 | even | 12 | inner | 819.2.fm.e.622.3 | 32 | ||
273.167 | odd | 12 | 273.2.by.d.76.6 | yes | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.by.c.76.6 | ✓ | 32 | 39.11 | even | 12 | ||
273.2.by.c.97.6 | yes | 32 | 21.20 | even | 2 | ||
273.2.by.d.76.6 | yes | 32 | 273.167 | odd | 12 | ||
273.2.by.d.97.6 | yes | 32 | 3.2 | odd | 2 | ||
819.2.fm.e.370.3 | 32 | 1.1 | even | 1 | trivial | ||
819.2.fm.e.622.3 | 32 | 91.76 | even | 12 | inner | ||
819.2.fm.f.370.3 | 32 | 7.6 | odd | 2 | |||
819.2.fm.f.622.3 | 32 | 13.11 | odd | 12 |