Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(136,819)]
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, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.136");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.et (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: | \(36\) |
Relative dimension: | \(9\) over \(\Q(\zeta_{12})\) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 145.7 | ||
Character | \(\chi\) | \(=\) | 819.145 |
Dual form | 819.2.et.c.514.7 |
$q$-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 \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.926196 | − | 0.926196i | 0.654919 | − | 0.654919i | −0.299254 | − | 0.954173i | \(-0.596738\pi\) |
0.954173 | + | 0.299254i | \(0.0967378\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.284323i | 0.142161i | ||||||||
\(5\) | −0.409991 | + | 0.109857i | −0.183354 | + | 0.0491295i | −0.349328 | − | 0.937001i | \(-0.613590\pi\) |
0.165974 | + | 0.986130i | \(0.446923\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −2.25606 | + | 1.38209i | −0.852712 | + | 0.522382i | ||||
\(8\) | 2.11573 | + | 2.11573i | 0.748024 | + | 0.748024i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.277983 | + | 0.481481i | −0.0879060 | + | 0.152258i | ||||
\(11\) | −1.35455 | + | 0.362951i | −0.408413 | + | 0.109434i | −0.457175 | − | 0.889377i | \(-0.651139\pi\) |
0.0487628 | + | 0.998810i | \(0.484472\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.54669 | + | 0.648849i | −0.983674 | + | 0.179958i | ||||
\(14\) | −0.809468 | + | 3.36964i | −0.216339 | + | 0.900575i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 3.35051 | 0.837629 | ||||||||
\(17\) | 6.94638 | 1.68475 | 0.842373 | − | 0.538895i | \(-0.181158\pi\) | ||||
0.842373 | + | 0.538895i | \(0.181158\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −0.143382 | + | 0.535108i | −0.0328941 | + | 0.122762i | −0.980421 | − | 0.196915i | \(-0.936908\pi\) |
0.947527 | + | 0.319677i | \(0.103574\pi\) | |||||||
\(20\) | −0.0312348 | − | 0.116570i | −0.00698432 | − | 0.0260658i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.918416 | + | 1.59074i | −0.195807 | + | 0.339148i | ||||
\(23\) | 7.84271i | 1.63532i | 0.575702 | + | 0.817659i | \(0.304729\pi\) | ||||
−0.575702 | + | 0.817659i | \(0.695271\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −4.17410 | + | 2.40992i | −0.834821 | + | 0.481984i | ||||
\(26\) | −2.68397 | + | 3.88589i | −0.526369 | + | 0.762085i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.392961 | − | 0.641450i | −0.0742626 | − | 0.121223i | ||||
\(29\) | 3.01567 | + | 5.22330i | 0.559997 | + | 0.969943i | 0.997496 | + | 0.0707238i | \(0.0225309\pi\) |
−0.437499 | + | 0.899219i | \(0.644136\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.17020 | + | 8.09928i | −0.389779 | + | 1.45467i | 0.440715 | + | 0.897647i | \(0.354725\pi\) |
−0.830494 | + | 0.557027i | \(0.811942\pi\) | |||||||
\(32\) | −1.12823 | + | 1.12823i | −0.199444 | + | 0.199444i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 6.43371 | − | 6.43371i | 1.10337 | − | 1.10337i | ||||
\(35\) | 0.773134 | − | 0.814490i | 0.130684 | − | 0.137674i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −4.24059 | − | 4.24059i | −0.697149 | − | 0.697149i | 0.266646 | − | 0.963795i | \(-0.414085\pi\) |
−0.963795 | + | 0.266646i | \(0.914085\pi\) | |||||||
\(38\) | 0.362815 | + | 0.628415i | 0.0588564 | + | 0.101942i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −1.09986 | − | 0.635004i | −0.173903 | − | 0.100403i | ||||
\(41\) | 0.434817 | − | 1.62276i | 0.0679070 | − | 0.253433i | −0.923625 | − | 0.383299i | \(-0.874788\pi\) |
0.991532 | + | 0.129866i | \(0.0414547\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 6.49491 | + | 3.74984i | 0.990464 | + | 0.571845i | 0.905413 | − | 0.424532i | \(-0.139561\pi\) |
0.0850513 | + | 0.996377i | \(0.472895\pi\) | |||||||
\(44\) | −0.103195 | − | 0.385130i | −0.0155573 | − | 0.0580605i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 7.26389 | + | 7.26389i | 1.07100 | + | 1.07100i | ||||
\(47\) | −2.62582 | − | 9.79969i | −0.383015 | − | 1.42943i | −0.841272 | − | 0.540612i | \(-0.818193\pi\) |
0.458257 | − | 0.888820i | \(-0.348474\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 3.17964 | − | 6.23618i | 0.454234 | − | 0.890882i | ||||
\(50\) | −1.63398 | + | 6.09809i | −0.231080 | + | 0.862401i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −0.184483 | − | 1.00840i | −0.0255831 | − | 0.139841i | ||||
\(53\) | −3.77860 | − | 6.54472i | −0.519030 | − | 0.898986i | −0.999755 | − | 0.0221152i | \(-0.992960\pi\) |
0.480725 | − | 0.876871i | \(-0.340373\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.515482 | − | 0.297614i | 0.0695076 | − | 0.0401302i | ||||
\(56\) | −7.69736 | − | 1.84909i | −1.02860 | − | 0.247094i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 7.63090 | + | 2.04469i | 1.00199 | + | 0.268482i | ||||
\(59\) | 4.83450 | − | 4.83450i | 0.629398 | − | 0.629398i | −0.318519 | − | 0.947917i | \(-0.603185\pi\) |
0.947917 | + | 0.318519i | \(0.103185\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.38809 | − | 1.37876i | 0.305763 | − | 0.176533i | −0.339266 | − | 0.940691i | \(-0.610179\pi\) |
0.645029 | + | 0.764158i | \(0.276845\pi\) | |||||||
\(62\) | 5.49149 | + | 9.51155i | 0.697421 | + | 1.20797i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.79095i | 1.09887i | ||||||||
\(65\) | 1.38283 | − | 0.655650i | 0.171519 | − | 0.0813234i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 3.70163 | + | 13.8147i | 0.452226 | + | 1.68773i | 0.696118 | + | 0.717927i | \(0.254909\pi\) |
−0.243893 | + | 0.969802i | \(0.578424\pi\) | |||||||
\(68\) | 1.97502i | 0.239506i | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.0383037 | − | 1.47045i | −0.00457817 | − | 0.175752i | ||||
\(71\) | −1.00255 | − | 3.74157i | −0.118981 | − | 0.444042i | 0.880573 | − | 0.473910i | \(-0.157158\pi\) |
−0.999554 | + | 0.0298681i | \(0.990491\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −11.0713 | − | 2.96655i | −1.29580 | − | 0.347209i | −0.455940 | − | 0.890011i | \(-0.650697\pi\) |
−0.839861 | + | 0.542802i | \(0.817363\pi\) | |||||||
\(74\) | −7.85524 | −0.913153 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −0.152144 | − | 0.0407667i | −0.0174521 | − | 0.00467627i | ||||
\(77\) | 2.55432 | − | 2.69096i | 0.291092 | − | 0.306663i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.32696 | − | 7.49452i | 0.486821 | − | 0.843199i | −0.513064 | − | 0.858350i | \(-0.671490\pi\) |
0.999885 | + | 0.0151513i | \(0.00482300\pi\) | |||||||
\(80\) | −1.37368 | + | 0.368077i | −0.153582 | + | 0.0411523i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −1.10027 | − | 1.90572i | −0.121504 | − | 0.210452i | ||||
\(83\) | 2.26360 | + | 2.26360i | 0.248462 | + | 0.248462i | 0.820339 | − | 0.571877i | \(-0.193785\pi\) |
−0.571877 | + | 0.820339i | \(0.693785\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −2.84796 | + | 0.763108i | −0.308904 | + | 0.0827707i | ||||
\(86\) | 9.48864 | − | 2.54247i | 1.02319 | − | 0.274162i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −3.63377 | − | 2.09796i | −0.387361 | − | 0.223643i | ||||
\(89\) | 8.19285 | − | 8.19285i | 0.868441 | − | 0.868441i | −0.123859 | − | 0.992300i | \(-0.539527\pi\) |
0.992300 | + | 0.123859i | \(0.0395271\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 7.10478 | − | 6.36569i | 0.744784 | − | 0.667306i | ||||
\(92\) | −2.22986 | −0.232479 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −11.5085 | − | 6.64441i | −1.18701 | − | 0.685318i | ||||
\(95\) | − | 0.235141i | − | 0.0241250i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 15.5709 | − | 4.17221i | 1.58099 | − | 0.423624i | 0.641755 | − | 0.766910i | \(-0.278207\pi\) |
0.939231 | + | 0.343286i | \(0.111540\pi\) | |||||||
\(98\) | −2.83095 | − | 8.72089i | −0.285969 | − | 0.880943i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −0.685195 | − | 1.18679i | −0.0685195 | − | 0.118679i | ||||
\(101\) | −3.55466 | + | 6.15686i | −0.353702 | + | 0.612630i | −0.986895 | − | 0.161364i | \(-0.948411\pi\) |
0.633193 | + | 0.773994i | \(0.281744\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 5.13973 | − | 8.90227i | 0.506432 | − | 0.877167i | −0.493540 | − | 0.869723i | \(-0.664297\pi\) |
0.999972 | − | 0.00744360i | \(-0.00236939\pi\) | |||||||
\(104\) | −8.87662 | − | 6.13105i | −0.870425 | − | 0.601198i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −9.56141 | − | 2.56197i | −0.928686 | − | 0.248841i | ||||
\(107\) | −4.49430 | −0.434480 | −0.217240 | − | 0.976118i | \(-0.569705\pi\) | ||||
−0.217240 | + | 0.976118i | \(0.569705\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −4.38513 | − | 1.17499i | −0.420019 | − | 0.112544i | 0.0426183 | − | 0.999091i | \(-0.486430\pi\) |
−0.462637 | + | 0.886548i | \(0.653097\pi\) | |||||||
\(110\) | 0.201789 | − | 0.753085i | 0.0192398 | − | 0.0718039i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −7.55897 | + | 4.63072i | −0.714256 | + | 0.437562i | ||||
\(113\) | 3.41572 | − | 5.91619i | 0.321324 | − | 0.556549i | −0.659438 | − | 0.751759i | \(-0.729206\pi\) |
0.980761 | + | 0.195210i | \(0.0625390\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.861576 | − | 3.21544i | −0.0803424 | − | 0.299842i | ||||
\(116\) | −1.48510 | + | 0.857425i | −0.137888 | + | 0.0796099i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | − | 8.95538i | − | 0.824410i | ||||||
\(119\) | −15.6715 | + | 9.60054i | −1.43660 | + | 0.880080i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −7.82320 | + | 4.51673i | −0.711200 | + | 0.410612i | ||||
\(122\) | 0.934832 | − | 3.48884i | 0.0846357 | − | 0.315865i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −2.30281 | − | 0.617036i | −0.206799 | − | 0.0554115i | ||||
\(125\) | 2.94727 | − | 2.94727i | 0.263612 | − | 0.263612i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 0.727835 | − | 0.420216i | 0.0645850 | − | 0.0372881i | −0.467360 | − | 0.884067i | \(-0.654795\pi\) |
0.531945 | + | 0.846779i | \(0.321461\pi\) | |||||||
\(128\) | 5.88568 | + | 5.88568i | 0.520226 | + | 0.520226i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.673512 | − | 1.88803i | 0.0590709 | − | 0.165591i | ||||
\(131\) | 15.6642 | + | 9.04371i | 1.36858 | + | 0.790152i | 0.990747 | − | 0.135720i | \(-0.0433347\pi\) |
0.377837 | + | 0.925872i | \(0.376668\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −0.416091 | − | 1.40541i | −0.0360796 | − | 0.121864i | ||||
\(134\) | 16.2235 | + | 9.36665i | 1.40150 | + | 0.809155i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 14.6967 | + | 14.6967i | 1.26023 | + | 1.26023i | ||||
\(137\) | 10.2762 | + | 10.2762i | 0.877957 | + | 0.877957i | 0.993323 | − | 0.115366i | \(-0.0368040\pi\) |
−0.115366 | + | 0.993323i | \(0.536804\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −10.1485 | − | 5.85922i | −0.860782 | − | 0.496973i | 0.00349232 | − | 0.999994i | \(-0.498888\pi\) |
−0.864274 | + | 0.503021i | \(0.832222\pi\) | |||||||
\(140\) | 0.231578 | + | 0.219820i | 0.0195719 | + | 0.0185782i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −4.39398 | − | 2.53687i | −0.368735 | − | 0.212889i | ||||
\(143\) | 4.56867 | − | 2.16617i | 0.382051 | − | 0.181144i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −1.81022 | − | 1.81022i | −0.150330 | − | 0.150330i | ||||
\(146\) | −13.0018 | + | 7.50661i | −1.07604 | + | 0.621251i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 1.20570 | − | 1.20570i | 0.0991077 | − | 0.0991077i | ||||
\(149\) | −6.09666 | − | 1.63360i | −0.499458 | − | 0.133829i | 0.000290536 | − | 1.00000i | \(-0.499908\pi\) |
−0.499748 | + | 0.866171i | \(0.666574\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 1.46708 | − | 5.47520i | 0.119389 | − | 0.445565i | −0.880189 | − | 0.474624i | \(-0.842584\pi\) |
0.999578 | + | 0.0290583i | \(0.00925084\pi\) | |||||||
\(152\) | −1.43550 | + | 0.828788i | −0.116435 | + | 0.0672235i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.126550 | − | 4.85815i | −0.0101977 | − | 0.391481i | ||||
\(155\) | − | 3.55905i | − | 0.285870i | ||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −4.05121 | + | 2.33897i | −0.323322 | + | 0.186670i | −0.652872 | − | 0.757468i | \(-0.726436\pi\) |
0.329550 | + | 0.944138i | \(0.393103\pi\) | |||||||
\(158\) | −2.93378 | − | 10.9490i | −0.233399 | − | 0.871056i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.338620 | − | 0.586507i | 0.0267703 | − | 0.0463675i | ||||
\(161\) | −10.8394 | − | 17.6937i | −0.854261 | − | 1.39446i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.11598 | + | 11.6290i | −0.244063 | + | 0.910855i | 0.729789 | + | 0.683672i | \(0.239618\pi\) |
−0.973852 | + | 0.227183i | \(0.927049\pi\) | |||||||
\(164\) | 0.461388 | + | 0.123629i | 0.0360283 | + | 0.00965376i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 4.19307 | 0.325445 | ||||||||
\(167\) | −2.16916 | − | 0.581223i | −0.167854 | − | 0.0449764i | 0.173913 | − | 0.984761i | \(-0.444359\pi\) |
−0.341767 | + | 0.939785i | \(0.611025\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 12.1580 | − | 4.60253i | 0.935230 | − | 0.354041i | ||||
\(170\) | −1.93098 | + | 3.34455i | −0.148099 | + | 0.256516i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.06616 | + | 1.84665i | −0.0812943 | + | 0.140806i | ||||
\(173\) | −5.82086 | − | 10.0820i | −0.442552 | − | 0.766523i | 0.555326 | − | 0.831633i | \(-0.312593\pi\) |
−0.997878 | + | 0.0651101i | \(0.979260\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 6.08631 | − | 11.2059i | 0.460082 | − | 0.847088i | ||||
\(176\) | −4.53844 | + | 1.21607i | −0.342098 | + | 0.0916649i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | − | 15.1764i | − | 1.13752i | ||||||
\(179\) | 16.3721 | + | 9.45241i | 1.22370 | + | 0.706506i | 0.965706 | − | 0.259639i | \(-0.0836035\pi\) |
0.257999 | + | 0.966145i | \(0.416937\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 0.400647 | 0.0297799 | 0.0148899 | − | 0.999889i | \(-0.495260\pi\) | ||||
0.0148899 | + | 0.999889i | \(0.495260\pi\) | |||||||
\(182\) | 0.684540 | − | 12.4763i | 0.0507415 | − | 0.924805i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −16.5931 | + | 16.5931i | −1.22326 | + | 1.22326i | ||||
\(185\) | 2.20446 | + | 1.27275i | 0.162075 | + | 0.0935743i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −9.40923 | + | 2.52120i | −0.688071 | + | 0.184368i | ||||
\(188\) | 2.78628 | − | 0.746580i | 0.203210 | − | 0.0544500i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.217787 | − | 0.217787i | −0.0157999 | − | 0.0157999i | ||||
\(191\) | −5.12611 | − | 8.87869i | −0.370912 | − | 0.642439i | 0.618794 | − | 0.785554i | \(-0.287622\pi\) |
−0.989706 | + | 0.143114i | \(0.954288\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −8.65734 | + | 2.31973i | −0.623169 | + | 0.166978i | −0.556568 | − | 0.830802i | \(-0.687882\pi\) |
−0.0666009 | + | 0.997780i | \(0.521215\pi\) | |||||||
\(194\) | 10.5574 | − | 18.2860i | 0.757979 | − | 1.31286i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.77309 | + | 0.904045i | 0.126649 | + | 0.0645746i | ||||
\(197\) | 4.04286 | + | 1.08328i | 0.288042 | + | 0.0771806i | 0.399947 | − | 0.916538i | \(-0.369029\pi\) |
−0.111905 | + | 0.993719i | \(0.535695\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 0.0731516 | 0.00518558 | 0.00259279 | − | 0.999997i | \(-0.499175\pi\) | ||||
0.00259279 | + | 0.999997i | \(0.499175\pi\) | |||||||
\(200\) | −13.9300 | − | 3.73254i | −0.985001 | − | 0.263930i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 2.41014 | + | 8.99477i | 0.169577 | + | 0.632870i | ||||
\(203\) | −14.0226 | − | 7.61615i | −0.984196 | − | 0.534549i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.713085i | 0.0498040i | ||||||||
\(206\) | −3.48485 | − | 13.0056i | −0.242801 | − | 0.906146i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −11.8832 | + | 2.17398i | −0.823954 | + | 0.150738i | ||||
\(209\) | − | 0.776872i | − | 0.0537374i | ||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.3736 | + | 17.9676i | 0.714148 | + | 1.23694i | 0.963287 | + | 0.268472i | \(0.0865188\pi\) |
−0.249140 | + | 0.968468i | \(0.580148\pi\) | |||||||
\(212\) | 1.86081 | − | 1.07434i | 0.127801 | − | 0.0737861i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −4.16260 | + | 4.16260i | −0.284549 | + | 0.284549i | ||||
\(215\) | −3.07480 | − | 0.823891i | −0.209700 | − | 0.0561889i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −6.29786 | − | 21.2719i | −0.427526 | − | 1.44403i | ||||
\(218\) | −5.14976 | + | 2.97321i | −0.348785 | + | 0.201371i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0846184 | + | 0.146563i | 0.00570497 | + | 0.00988129i | ||||
\(221\) | −24.6367 | + | 4.50715i | −1.65724 | + | 0.303184i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −0.0283672 | + | 0.105868i | −0.00189961 | + | 0.00708942i | −0.966869 | − | 0.255273i | \(-0.917835\pi\) |
0.964970 | + | 0.262362i | \(0.0845015\pi\) | |||||||
\(224\) | 0.986038 | − | 4.10467i | 0.0658824 | − | 0.274255i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.31593 | − | 8.64317i | −0.154053 | − | 0.574935i | ||||
\(227\) | −2.22859 | − | 2.22859i | −0.147917 | − | 0.147917i | 0.629270 | − | 0.777187i | \(-0.283354\pi\) |
−0.777187 | + | 0.629270i | \(0.783354\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.14901 | + | 15.4843i | 0.274174 | + | 1.02323i | 0.956393 | + | 0.292084i | \(0.0943486\pi\) |
−0.682218 | + | 0.731148i | \(0.738985\pi\) | |||||||
\(230\) | −3.77612 | − | 2.18014i | −0.248990 | − | 0.143754i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.67074 | + | 17.4314i | −0.306649 | + | 1.14443i | ||||
\(233\) | 21.8559 | + | 12.6185i | 1.43183 | + | 0.826668i | 0.997260 | − | 0.0739699i | \(-0.0235669\pi\) |
0.434570 | + | 0.900638i | \(0.356900\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 2.15313 | + | 3.72932i | 0.140454 | + | 0.243274i | ||||
\(236\) | 1.37456 | + | 1.37456i | 0.0894761 | + | 0.0894761i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −5.62287 | + | 23.4068i | −0.364477 | + | 1.51724i | ||||
\(239\) | −3.59516 | + | 3.59516i | −0.232552 | + | 0.232552i | −0.813757 | − | 0.581205i | \(-0.802581\pi\) |
0.581205 | + | 0.813757i | \(0.302581\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 2.15492 | − | 2.15492i | 0.138811 | − | 0.138811i | −0.634287 | − | 0.773098i | \(-0.718706\pi\) |
0.773098 | + | 0.634287i | \(0.218706\pi\) | |||||||
\(242\) | −3.06244 | + | 11.4292i | −0.196861 | + | 0.734696i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0.392014 | + | 0.678988i | 0.0250961 | + | 0.0434678i | ||||
\(245\) | −0.618539 | + | 2.90608i | −0.0395170 | + | 0.185663i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 0.161326 | − | 1.99090i | 0.0102649 | − | 0.126678i | ||||
\(248\) | −21.7274 | + | 12.5443i | −1.37969 | + | 0.796567i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | − | 5.45950i | − | 0.345289i | ||||||
\(251\) | −3.62476 | + | 6.27826i | −0.228793 | + | 0.396280i | −0.957451 | − | 0.288597i | \(-0.906811\pi\) |
0.728658 | + | 0.684878i | \(0.240144\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.84652 | − | 10.6234i | −0.178959 | − | 0.667885i | ||||
\(254\) | 0.284916 | − | 1.06332i | 0.0178772 | − | 0.0667187i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −6.67931 | −0.417457 | ||||||||
\(257\) | 11.4669 | 0.715289 | 0.357644 | − | 0.933858i | \(-0.383580\pi\) | ||||
0.357644 | + | 0.933858i | \(0.383580\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 15.4279 | + | 3.70615i | 0.958645 | + | 0.230289i | ||||
\(260\) | 0.186416 | + | 0.393171i | 0.0115611 | + | 0.0243834i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 22.8843 | − | 6.13184i | 1.41380 | − | 0.378826i | ||||
\(263\) | −8.29386 | + | 14.3654i | −0.511421 | + | 0.885808i | 0.488491 | + | 0.872569i | \(0.337547\pi\) |
−0.999912 | + | 0.0132387i | \(0.995786\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 2.26817 | + | 2.26817i | 0.139333 | + | 0.139333i | ||||
\(266\) | −1.68706 | − | 0.916299i | −0.103440 | − | 0.0561819i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −3.92782 | + | 1.05246i | −0.239930 | + | 0.0642891i | ||||
\(269\) | − | 9.39879i | − | 0.573055i | −0.958072 | − | 0.286527i | \(-0.907499\pi\) | ||
0.958072 | − | 0.286527i | \(-0.0925009\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 16.6976 | − | 16.6976i | 1.01431 | − | 1.01431i | 0.0144118 | − | 0.999896i | \(-0.495412\pi\) |
0.999896 | − | 0.0144118i | \(-0.00458758\pi\) | |||||||
\(272\) | 23.2740 | 1.41119 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 19.0356 | 1.14998 | ||||||||
\(275\) | 4.77935 | − | 4.77935i | 0.288206 | − | 0.288206i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 7.83005i | 0.470462i | 0.971940 | + | 0.235231i | \(0.0755846\pi\) | ||||
−0.971940 | + | 0.235231i | \(0.924415\pi\) | |||||||
\(278\) | −14.8263 | + | 3.97268i | −0.889219 | + | 0.238266i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.35898 | − | 0.0874981i | 0.200738 | − | 0.00522901i | ||||
\(281\) | −7.60467 | − | 7.60467i | −0.453656 | − | 0.453656i | 0.442910 | − | 0.896566i | \(-0.353946\pi\) |
−0.896566 | + | 0.442910i | \(0.853946\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −6.54596 | + | 11.3379i | −0.389117 | + | 0.673971i | −0.992331 | − | 0.123609i | \(-0.960553\pi\) |
0.603214 | + | 0.797580i | \(0.293887\pi\) | |||||||
\(284\) | 1.06381 | − | 0.285048i | 0.0631257 | − | 0.0169145i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.22518 | − | 6.23778i | 0.131578 | − | 0.368848i | ||||
\(287\) | 1.26183 | + | 4.26201i | 0.0744834 | + | 0.251578i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 31.2522 | 1.83837 | ||||||||
\(290\) | −3.35323 | −0.196908 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0.843459 | − | 3.14783i | 0.0493597 | − | 0.184213i | ||||
\(293\) | −1.63802 | − | 6.11317i | −0.0956941 | − | 0.357135i | 0.901430 | − | 0.432926i | \(-0.142519\pi\) |
−0.997124 | + | 0.0757902i | \(0.975852\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.45100 | + | 2.51321i | −0.0844805 | + | 0.146324i | ||||
\(296\) | − | 17.9439i | − | 1.04297i | ||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −7.15973 | + | 4.13367i | −0.414752 | + | 0.239457i | ||||
\(299\) | −5.08873 | − | 27.8157i | −0.294289 | − | 1.60862i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −19.8355 | + | 0.516695i | −1.14330 | + | 0.0297818i | ||||
\(302\) | −3.71231 | − | 6.42991i | −0.213619 | − | 0.369999i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −0.480403 | + | 1.79289i | −0.0275530 | + | 0.102829i | ||||
\(305\) | −0.827629 | + | 0.827629i | −0.0473899 | + | 0.0473899i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −0.930901 | + | 0.930901i | −0.0531293 | + | 0.0531293i | −0.733172 | − | 0.680043i | \(-0.761961\pi\) |
0.680043 | + | 0.733172i | \(0.261961\pi\) | |||||||
\(308\) | 0.765100 | + | 0.726252i | 0.0435956 | + | 0.0413821i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −3.29637 | − | 3.29637i | −0.187221 | − | 0.187221i | ||||
\(311\) | 15.2632 | + | 26.4366i | 0.865495 | + | 1.49908i | 0.866555 | + | 0.499081i | \(0.166329\pi\) |
−0.00106060 | + | 0.999999i | \(0.500338\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −15.9124 | − | 9.18705i | −0.899425 | − | 0.519283i | −0.0224111 | − | 0.999749i | \(-0.507134\pi\) |
−0.877013 | + | 0.480466i | \(0.840468\pi\) | |||||||
\(314\) | −1.58587 | + | 5.91856i | −0.0894960 | + | 0.334004i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.13086 | + | 1.23025i | 0.119870 | + | 0.0692072i | ||||
\(317\) | 4.00188 | + | 14.9352i | 0.224768 | + | 0.838845i | 0.982497 | + | 0.186276i | \(0.0596420\pi\) |
−0.757730 | + | 0.652569i | \(0.773691\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −5.98069 | − | 5.98069i | −0.334854 | − | 0.334854i | ||||
\(320\) | −0.965746 | − | 3.60421i | −0.0539868 | − | 0.201482i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −26.4272 | − | 6.34842i | −1.47273 | − | 0.353784i | ||||
\(323\) | −0.995985 | + | 3.71707i | −0.0554181 | + | 0.206823i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 13.2406 | − | 11.2556i | 0.734454 | − | 0.624348i | ||||
\(326\) | 7.88473 | + | 13.6568i | 0.436695 | + | 0.756378i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 4.35328 | − | 2.51337i | 0.240370 | − | 0.138777i | ||||
\(329\) | 19.4681 | + | 18.4796i | 1.07331 | + | 1.01881i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 25.7839 | + | 6.90877i | 1.41721 | + | 0.379740i | 0.884493 | − | 0.466553i | \(-0.154504\pi\) |
0.532717 | + | 0.846293i | \(0.321171\pi\) | |||||||
\(332\) | −0.643592 | + | 0.643592i | −0.0353217 | + | 0.0353217i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −2.54739 | + | 1.47074i | −0.139387 | + | 0.0804751i | ||||
\(335\) | −3.03527 | − | 5.25724i | −0.165835 | − | 0.287234i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 25.3802i | − | 1.38255i | −0.722592 | − | 0.691275i | \(-0.757049\pi\) | ||
0.722592 | − | 0.691275i | \(-0.242951\pi\) | |||||||
\(338\) | 6.99784 | − | 15.5235i | 0.380632 | − | 0.844368i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −0.216969 | − | 0.809740i | −0.0117668 | − | 0.0439143i | ||||
\(341\) | − | 11.7586i | − | 0.636762i | ||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.44550 | + | 18.4638i | 0.0780498 | + | 0.996949i | ||||
\(344\) | 5.80783 | + | 21.6751i | 0.313137 | + | 1.16864i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −14.7292 | − | 3.94668i | −0.791846 | − | 0.212175i | ||||
\(347\) | 2.33363 | 0.125276 | 0.0626380 | − | 0.998036i | \(-0.480049\pi\) | ||||
0.0626380 | + | 0.998036i | \(0.480049\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −28.6493 | − | 7.67654i | −1.53356 | − | 0.410916i | −0.609381 | − | 0.792878i | \(-0.708582\pi\) |
−0.924178 | + | 0.381962i | \(0.875249\pi\) | |||||||
\(350\) | −4.74177 | − | 16.0160i | −0.253458 | − | 0.856091i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 1.11875 | − | 1.93773i | 0.0596296 | − | 0.103282i | ||||
\(353\) | −4.21930 | + | 1.13056i | −0.224571 | + | 0.0601736i | −0.369350 | − | 0.929290i | \(-0.620420\pi\) |
0.144779 | + | 0.989464i | \(0.453753\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.822073 | + | 1.42387i | 0.0436311 | + | 0.0755713i | ||||
\(356\) | 2.32942 | + | 2.32942i | 0.123459 | + | 0.123459i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 23.9185 | − | 6.40895i | 1.26413 | − | 0.338723i | ||||
\(359\) | 20.7047 | − | 5.54780i | 1.09275 | − | 0.292802i | 0.332941 | − | 0.942948i | \(-0.391959\pi\) |
0.759809 | + | 0.650146i | \(0.225292\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 16.1887 | + | 9.34655i | 0.852037 | + | 0.491924i | ||||
\(362\) | 0.371078 | − | 0.371078i | 0.0195034 | − | 0.0195034i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 1.80991 | + | 2.02005i | 0.0948652 | + | 0.105880i | ||||
\(365\) | 4.86505 | 0.254648 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 10.9156 | + | 6.30214i | 0.569791 | + | 0.328969i | 0.757066 | − | 0.653338i | \(-0.226632\pi\) |
−0.187275 | + | 0.982308i | \(0.559965\pi\) | |||||||
\(368\) | 26.2771i | 1.36979i | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.22058 | − | 0.862952i | 0.167430 | − | 0.0448627i | ||||
\(371\) | 17.5702 | + | 9.54293i | 0.912197 | + | 0.495444i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 7.97476 | + | 13.8127i | 0.412917 | + | 0.715194i | 0.995207 | − | 0.0977873i | \(-0.0311765\pi\) |
−0.582290 | + | 0.812981i | \(0.697843\pi\) | |||||||
\(374\) | −6.37967 | + | 11.0499i | −0.329885 | + | 0.571377i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 15.1780 | − | 26.2890i | 0.782744 | − | 1.35575i | ||||
\(377\) | −14.0848 | − | 16.5687i | −0.725403 | − | 0.853331i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −33.0651 | − | 8.85976i | −1.69844 | − | 0.455095i | −0.725893 | − | 0.687808i | \(-0.758573\pi\) |
−0.972545 | + | 0.232713i | \(0.925240\pi\) | |||||||
\(380\) | 0.0668561 | 0.00342964 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −12.9712 | − | 3.47562i | −0.663664 | − | 0.177828i | ||||
\(383\) | 3.37726 | − | 12.6041i | 0.172570 | − | 0.644039i | −0.824383 | − | 0.566032i | \(-0.808478\pi\) |
0.996953 | − | 0.0780068i | \(-0.0248556\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.751630 | + | 1.38388i | −0.0383066 | + | 0.0705290i | ||||
\(386\) | −5.86987 | + | 10.1669i | −0.298768 | + | 0.517482i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.18626 | + | 4.42717i | 0.0602230 | + | 0.224755i | ||||
\(389\) | 14.8252 | − | 8.55933i | 0.751667 | − | 0.433975i | −0.0746290 | − | 0.997211i | \(-0.523777\pi\) |
0.826296 | + | 0.563236i | \(0.190444\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 54.4785i | 2.75510i | ||||||||
\(392\) | 19.9213 | − | 6.46680i | 1.00618 | − | 0.326623i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.74781 | − | 2.74115i | 0.239191 | − | 0.138097i | ||||
\(395\) | −0.950693 | + | 3.54803i | −0.0478345 | + | 0.178521i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −9.36386 | − | 2.50904i | −0.469959 | − | 0.125925i | 0.0160646 | − | 0.999871i | \(-0.494886\pi\) |
−0.486023 | + | 0.873946i | \(0.661553\pi\) | |||||||
\(398\) | 0.0677527 | − | 0.0677527i | 0.00339613 | − | 0.00339613i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −13.9854 | + | 8.07447i | −0.699270 | + | 0.403723i | ||||
\(401\) | 5.44277 | + | 5.44277i | 0.271799 | + | 0.271799i | 0.829824 | − | 0.558025i | \(-0.188441\pi\) |
−0.558025 | + | 0.829824i | \(0.688441\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 2.44180 | − | 30.1338i | 0.121635 | − | 1.50107i | ||||
\(404\) | −1.75054 | − | 1.01067i | −0.0870924 | − | 0.0502828i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −20.0418 | + | 5.93365i | −0.994656 | + | 0.294482i | ||||
\(407\) | 7.28323 | + | 4.20497i | 0.361016 | + | 0.208433i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −2.18322 | − | 2.18322i | −0.107954 | − | 0.107954i | 0.651067 | − | 0.759020i | \(-0.274322\pi\) |
−0.759020 | + | 0.651067i | \(0.774322\pi\) | |||||||
\(410\) | 0.660457 | + | 0.660457i | 0.0326176 | + | 0.0326176i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 2.53112 | + | 1.46134i | 0.124699 | + | 0.0719952i | ||||
\(413\) | −4.22521 | + | 17.5887i | −0.207909 | + | 0.865481i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.17673 | − | 0.679384i | −0.0577633 | − | 0.0333496i | ||||
\(416\) | 3.26942 | − | 4.73352i | 0.160297 | − | 0.232080i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.719536 | − | 0.719536i | −0.0351937 | − | 0.0351937i | ||||
\(419\) | 2.29397 | − | 1.32442i | 0.112068 | − | 0.0647023i | −0.442918 | − | 0.896562i | \(-0.646057\pi\) |
0.554986 | + | 0.831860i | \(0.312724\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 8.96466 | − | 8.96466i | 0.436911 | − | 0.436911i | −0.454060 | − | 0.890971i | \(-0.650025\pi\) |
0.890971 | + | 0.454060i | \(0.150025\pi\) | |||||||
\(422\) | 26.2495 | + | 7.03353i | 1.27780 | + | 0.342387i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 5.85237 | − | 21.8414i | 0.284216 | − | 1.06071i | ||||
\(425\) | −28.9949 | + | 16.7402i | −1.40646 | + | 0.812020i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.48210 | + | 6.41114i | −0.168511 | + | 0.310257i | ||||
\(428\) | − | 1.27783i | − | 0.0617663i | ||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −3.61095 | + | 2.08478i | −0.174136 | + | 0.100537i | ||||
\(431\) | 3.00230 | + | 11.2048i | 0.144616 | + | 0.539714i | 0.999772 | + | 0.0213436i | \(0.00679441\pi\) |
−0.855156 | + | 0.518370i | \(0.826539\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −1.08503 | + | 1.87932i | −0.0521430 | + | 0.0903143i | −0.890919 | − | 0.454163i | \(-0.849938\pi\) |
0.838776 | + | 0.544477i | \(0.183272\pi\) | |||||||
\(434\) | −25.5350 | − | 13.8689i | −1.22572 | − | 0.665728i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.334077 | − | 1.24679i | 0.0159994 | − | 0.0597105i | ||||
\(437\) | −4.19670 | − | 1.12450i | −0.200755 | − | 0.0537923i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 20.7361 | 0.989680 | 0.494840 | − | 0.868984i | \(-0.335227\pi\) | ||||
0.494840 | + | 0.868984i | \(0.335227\pi\) | |||||||
\(440\) | 1.72029 | + | 0.460950i | 0.0820116 | + | 0.0219749i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −18.6439 | + | 26.9929i | −0.886798 | + | 1.28392i | ||||
\(443\) | 9.36776 | − | 16.2254i | 0.445075 | − | 0.770893i | −0.552982 | − | 0.833193i | \(-0.686510\pi\) |
0.998057 | + | 0.0622999i | \(0.0198435\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −2.45896 | + | 4.25904i | −0.116566 | + | 0.201898i | ||||
\(446\) | 0.0717806 | + | 0.124328i | 0.00339891 | + | 0.00588709i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −12.1499 | − | 19.8329i | −0.574029 | − | 0.937018i | ||||
\(449\) | −14.2069 | + | 3.80673i | −0.670465 | + | 0.179651i | −0.577964 | − | 0.816062i | \(-0.696153\pi\) |
−0.0925007 | + | 0.995713i | \(0.529486\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.35593i | 0.110936i | ||||||||
\(452\) | 1.68211 | + | 0.971166i | 0.0791198 | + | 0.0456798i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −4.12822 | −0.193747 | ||||||||
\(455\) | −2.21358 | + | 3.39039i | −0.103774 | + | 0.158944i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 17.1891 | − | 17.1891i | 0.804074 | − | 0.804074i | −0.179655 | − | 0.983730i | \(-0.557498\pi\) |
0.983730 | + | 0.179655i | \(0.0574982\pi\) | |||||||
\(458\) | 18.1843 | + | 10.4987i | 0.849697 | + | 0.490573i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.914225 | − | 0.244966i | 0.0426259 | − | 0.0114216i | ||||
\(461\) | 3.71656 | − | 0.995848i | 0.173097 | − | 0.0463813i | −0.171229 | − | 0.985231i | \(-0.554774\pi\) |
0.344327 | + | 0.938850i | \(0.388107\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −4.99628 | − | 4.99628i | −0.232197 | − | 0.232197i | 0.581412 | − | 0.813609i | \(-0.302500\pi\) |
−0.813609 | + | 0.581412i | \(0.802500\pi\) | |||||||
\(464\) | 10.1041 | + | 17.5007i | 0.469069 | + | 0.812452i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 31.9301 | − | 8.55565i | 1.47913 | − | 0.396333i | ||||
\(467\) | −4.32120 | + | 7.48453i | −0.199961 | + | 0.346343i | −0.948516 | − | 0.316731i | \(-0.897415\pi\) |
0.748554 | + | 0.663073i | \(0.230748\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −27.4442 | − | 26.0507i | −1.26726 | − | 1.20291i | ||||
\(470\) | 5.44830 | + | 1.45987i | 0.251311 | + | 0.0673387i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 20.4570 | 0.941609 | ||||||||
\(473\) | −10.1587 | − | 2.72201i | −0.467097 | − | 0.125158i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −0.691077 | − | 2.57914i | −0.0317088 | − | 0.118339i | ||||
\(476\) | −2.72965 | − | 4.45576i | −0.125114 | − | 0.204229i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 6.65964i | 0.304605i | ||||||||
\(479\) | 6.58134 | + | 24.5619i | 0.300709 | + | 1.12226i | 0.936576 | + | 0.350464i | \(0.113976\pi\) |
−0.635867 | + | 0.771799i | \(0.719357\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.7916 | + | 12.2886i | 0.811225 | + | 0.560310i | ||||
\(482\) | − | 3.99176i | − | 0.181820i | ||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.28421 | − | 2.22432i | −0.0583732 | − | 0.101105i | ||||
\(485\) | −5.92559 | + | 3.42114i | −0.269067 | + | 0.155346i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −13.1080 | + | 13.1080i | −0.593981 | + | 0.593981i | −0.938704 | − | 0.344723i | \(-0.887973\pi\) |
0.344723 | + | 0.938704i | \(0.387973\pi\) | |||||||
\(488\) | 7.96964 | + | 2.13546i | 0.360769 | + | 0.0966677i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.11871 | + | 3.26449i | 0.0957138 | + | 0.147475i | ||||
\(491\) | 25.0489 | − | 14.4620i | 1.13044 | − | 0.652661i | 0.186396 | − | 0.982475i | \(-0.440319\pi\) |
0.944046 | + | 0.329814i | \(0.106986\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 20.9480 | + | 36.2830i | 0.943452 | + | 1.63411i | ||||
\(494\) | −1.69454 | − | 1.99338i | −0.0762409 | − | 0.0896863i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −7.27127 | + | 27.1368i | −0.326490 | + | 1.21848i | ||||
\(497\) | 7.43301 | + | 7.05559i | 0.333416 | + | 0.316487i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −7.48822 | − | 27.9464i | −0.335219 | − | 1.25105i | −0.903632 | − | 0.428310i | \(-0.859109\pi\) |
0.568413 | − | 0.822743i | \(-0.307557\pi\) | |||||||
\(500\) | 0.837977 | + | 0.837977i | 0.0374755 | + | 0.0374755i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 2.45767 | + | 9.17213i | 0.109691 | + | 0.409372i | ||||
\(503\) | −4.27955 | − | 2.47080i | −0.190816 | − | 0.110168i | 0.401549 | − | 0.915838i | \(-0.368472\pi\) |
−0.592364 | + | 0.805670i | \(0.701805\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0.781009 | − | 2.91476i | 0.0347544 | − | 0.129705i | ||||
\(506\) | −12.4757 | − | 7.20287i | −0.554614 | − | 0.320207i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0.119477 | + | 0.206940i | 0.00530094 | + | 0.00918149i | ||||
\(509\) | 0.555629 | + | 0.555629i | 0.0246278 | + | 0.0246278i | 0.719313 | − | 0.694686i | \(-0.244457\pi\) |
−0.694686 | + | 0.719313i | \(0.744457\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 29.0777 | − | 8.60887i | 1.28632 | − | 0.380834i | ||||
\(512\) | −17.9577 | + | 17.9577i | −0.793626 | + | 0.793626i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 10.6206 | − | 10.6206i | 0.468456 | − | 0.468456i | ||||
\(515\) | −1.12927 | + | 4.21449i | −0.0497615 | + | 0.185713i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 7.11361 | + | 12.3211i | 0.312856 | + | 0.541883i | ||||
\(518\) | 17.7219 | − | 10.8567i | 0.778656 | − | 0.477014i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 4.31288 | + | 1.53852i | 0.189132 | + | 0.0674685i | ||||
\(521\) | 19.1469 | − | 11.0545i | 0.838840 | − | 0.484304i | −0.0180299 | − | 0.999837i | \(-0.505739\pi\) |
0.856870 | + | 0.515533i | \(0.172406\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 28.2350i | 1.23463i | 0.786716 | + | 0.617316i | \(0.211780\pi\) | ||||
−0.786716 | + | 0.617316i | \(0.788220\pi\) | |||||||
\(524\) | −2.57133 | + | 4.45368i | −0.112329 | + | 0.194560i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 5.62342 | + | 20.9869i | 0.245193 | + | 0.915072i | ||||
\(527\) | −15.0750 | + | 56.2607i | −0.656678 | + | 2.45076i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −38.5081 | −1.67427 | ||||||||
\(530\) | 4.20155 | 0.182504 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.399589 | − | 0.118304i | 0.0173244 | − | 0.00512913i | ||||
\(533\) | −0.489235 | + | 6.03755i | −0.0211911 | + | 0.261516i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.84262 | − | 0.493729i | 0.0796636 | − | 0.0213458i | ||||
\(536\) | −21.3964 | + | 37.0597i | −0.924186 | + | 1.60074i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.70512 | − | 8.70512i | −0.375305 | − | 0.375305i | ||||
\(539\) | −2.04356 | + | 9.60127i | −0.0880224 | + | 0.413556i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.19554 | − | 0.320344i | 0.0514003 | − | 0.0137727i | −0.233027 | − | 0.972470i | \(-0.574863\pi\) |
0.284428 | + | 0.958698i | \(0.408196\pi\) | |||||||
\(542\) | − | 30.9305i | − | 1.32858i | ||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.83710 | + | 7.83710i | −0.336013 | + | 0.336013i | ||||
\(545\) | 1.92694 | 0.0825412 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 1.83004 | 0.0782468 | 0.0391234 | − | 0.999234i | \(-0.487543\pi\) | ||||
0.0391234 | + | 0.999234i | \(0.487543\pi\) | |||||||
\(548\) | −2.92177 | + | 2.92177i | −0.124812 | + | 0.124812i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | − | 8.85324i | − | 0.377503i | ||||||
\(551\) | −3.22742 | + | 0.864786i | −0.137493 | + | 0.0368411i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.596218 | + | 22.8884i | 0.0253538 | + | 0.973312i | ||||
\(554\) | 7.25216 | + | 7.25216i | 0.308115 | + | 0.308115i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.66591 | − | 2.88544i | 0.0706503 | − | 0.122370i | ||||
\(557\) | 12.7054 | − | 3.40440i | 0.538345 | − | 0.144249i | 0.0206059 | − | 0.999788i | \(-0.493440\pi\) |
0.517739 | + | 0.855539i | \(0.326774\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −25.4685 | − | 9.08529i | −1.07720 | − | 0.384267i | ||||
\(560\) | 2.59040 | − | 2.72896i | 0.109464 | − | 0.115320i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −14.0868 | −0.594217 | ||||||||
\(563\) | −10.6635 | −0.449413 | −0.224706 | − | 0.974427i | \(-0.572142\pi\) | ||||
−0.224706 | + | 0.974427i | \(0.572142\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.750480 | + | 2.80083i | −0.0315729 | + | 0.117832i | ||||
\(566\) | 4.43831 | + | 16.5640i | 0.186556 | + | 0.696237i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 5.79502 | − | 10.0373i | 0.243154 | − | 0.421154i | ||||
\(569\) | − | 33.3642i | − | 1.39870i | −0.714780 | − | 0.699349i | \(-0.753473\pi\) | ||
0.714780 | − | 0.699349i | \(-0.246527\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 15.3066 | − | 8.83728i | 0.640562 | − | 0.369829i | −0.144269 | − | 0.989539i | \(-0.546083\pi\) |
0.784831 | + | 0.619710i | \(0.212750\pi\) | |||||||
\(572\) | 0.615893 | + | 1.29898i | 0.0257518 | + | 0.0543130i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 5.11615 | + | 2.77875i | 0.213544 | + | 0.115983i | ||||
\(575\) | −18.9003 | − | 32.7363i | −0.788197 | − | 1.36520i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 0.423680 | − | 1.58119i | 0.0176380 | − | 0.0658260i | −0.956546 | − | 0.291582i | \(-0.905818\pi\) |
0.974184 | + | 0.225756i | \(0.0724851\pi\) | |||||||
\(578\) | 28.9457 | − | 28.9457i | 1.20398 | − | 1.20398i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.514686 | − | 0.514686i | 0.0213712 | − | 0.0213712i | ||||
\(581\) | −8.23532 | − | 1.97832i | −0.341659 | − | 0.0820744i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 7.49372 | + | 7.49372i | 0.310358 | + | 0.310358i | ||||
\(584\) | −17.1475 | − | 29.7004i | −0.709569 | − | 1.22901i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −7.17912 | − | 4.14487i | −0.296567 | − | 0.171223i | ||||
\(587\) | −0.520017 | + | 1.94073i | −0.0214634 | + | 0.0801025i | −0.975827 | − | 0.218545i | \(-0.929869\pi\) |
0.954363 | + | 0.298648i | \(0.0965355\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −4.02283 | − | 2.32258i | −0.165758 | − | 0.0957003i | ||||
\(590\) | 0.983810 | + | 3.67163i | 0.0405028 | + | 0.151159i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −14.2082 | − | 14.2082i | −0.583952 | − | 0.583952i | ||||
\(593\) | −11.7799 | − | 43.9632i | −0.483743 | − | 1.80535i | −0.585655 | − | 0.810561i | \(-0.699163\pi\) |
0.101912 | − | 0.994793i | \(-0.467504\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 5.37049 | − | 5.65776i | 0.220168 | − | 0.231946i | ||||
\(596\) | 0.464468 | − | 1.73342i | 0.0190254 | − | 0.0710037i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −30.4759 | − | 21.0496i | −1.24625 | − | 0.860781i | ||||
\(599\) | −19.7690 | − | 34.2408i | −0.807738 | − | 1.39904i | −0.914427 | − | 0.404751i | \(-0.867358\pi\) |
0.106689 | − | 0.994292i | \(-0.465975\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −0.950504 | + | 0.548773i | −0.0387718 | + | 0.0223849i | −0.519261 | − | 0.854616i | \(-0.673793\pi\) |
0.480489 | + | 0.877001i | \(0.340459\pi\) | |||||||
\(602\) | −17.8930 | + | 18.8502i | −0.729266 | + | 0.768275i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.55672 | + | 0.417123i | 0.0633422 | + | 0.0169725i | ||||
\(605\) | 2.71125 | − | 2.71125i | 0.110228 | − | 0.110228i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.5220 | − | 7.80692i | 0.548840 | − | 0.316873i | −0.199814 | − | 0.979834i | \(-0.564034\pi\) |
0.748654 | + | 0.662961i | \(0.230700\pi\) | |||||||
\(608\) | −0.441957 | − | 0.765492i | −0.0179237 | − | 0.0310448i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 1.53309i | 0.0620731i | ||||||||
\(611\) | 15.6715 | + | 33.0527i | 0.634000 | + | 1.33717i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.90744 | + | 25.7789i | 0.278989 | + | 1.04120i | 0.953121 | + | 0.302590i | \(0.0978513\pi\) |
−0.674132 | + | 0.738611i | \(0.735482\pi\) | |||||||
\(614\) | 1.72439i | 0.0695908i | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.0976 | − | 0.289081i | 0.447135 | − | 0.0116474i | ||||
\(617\) | 2.13161 | + | 7.95529i | 0.0858155 | + | 0.320268i | 0.995467 | − | 0.0951036i | \(-0.0303182\pi\) |
−0.909652 | + | 0.415372i | \(0.863652\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 21.9027 | + | 5.86882i | 0.880346 | + | 0.235888i | 0.670556 | − | 0.741859i | \(-0.266055\pi\) |
0.209789 | + | 0.977747i | \(0.432722\pi\) | |||||||
\(620\) | 1.01192 | 0.0406396 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 38.6221 | + | 10.3488i | 1.54861 | + | 0.414948i | ||||
\(623\) | −7.16031 | + | 29.8069i | −0.286872 | + | 1.19419i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 11.1650 | − | 19.3384i | 0.446601 | − | 0.773535i | ||||
\(626\) | −23.2471 | + | 6.22903i | −0.929139 | + | 0.248962i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.665023 | − | 1.15185i | −0.0265373 | − | 0.0459639i | ||||
\(629\) | −29.4568 | − | 29.4568i | −1.17452 | − | 1.17452i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 17.2097 | − | 4.61132i | 0.685106 | − | 0.183574i | 0.100556 | − | 0.994931i | \(-0.467938\pi\) |
0.584550 | + | 0.811358i | \(0.301271\pi\) | |||||||
\(632\) | 25.0111 | − | 6.70169i | 0.994886 | − | 0.266579i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 17.5395 | + | 10.1264i | 0.696581 | + | 0.402171i | ||||
\(635\) | −0.252243 | + | 0.252243i | −0.0100099 | + | 0.0100099i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −7.23086 | + | 24.1809i | −0.286497 | + | 0.958081i | ||||
\(638\) | −11.0786 | −0.438605 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −3.05966 | − | 1.76650i | −0.120944 | − | 0.0698269i | ||||
\(641\) | 23.0810i | 0.911645i | 0.890071 | + | 0.455822i | \(0.150655\pi\) | ||||
−0.890071 | + | 0.455822i | \(0.849345\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −39.1565 | + | 10.4920i | −1.54418 | + | 0.413763i | −0.927615 | − | 0.373538i | \(-0.878144\pi\) |
−0.616569 | + | 0.787301i | \(0.711478\pi\) | |||||||
\(644\) | 5.03071 | − | 3.08188i | 0.198238 | − | 0.121443i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 2.52025 | + | 4.36521i | 0.0991581 | + | 0.171747i | ||||
\(647\) | −16.1610 | + | 27.9916i | −0.635353 | + | 1.10046i | 0.351087 | + | 0.936343i | \(0.385812\pi\) |
−0.986440 | + | 0.164121i | \(0.947521\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −4.79389 | + | 8.30326i | −0.188177 | + | 0.325932i | ||||
\(650\) | 1.83847 | − | 22.6882i | 0.0721109 | − | 0.889906i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −3.30639 | − | 0.885946i | −0.129488 | − | 0.0346963i | ||||
\(653\) | −36.5732 | −1.43122 | −0.715610 | − | 0.698500i | \(-0.753851\pi\) | ||||
−0.715610 | + | 0.698500i | \(0.753851\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −7.41569 | − | 1.98703i | −0.289755 | − | 0.0776396i | ||||
\(656\) | 1.45686 | − | 5.43708i | 0.0568809 | − | 0.212282i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 35.1470 | − | 0.915542i | 1.37017 | − | 0.0356916i | ||||
\(659\) | 21.1206 | − | 36.5820i | 0.822742 | − | 1.42503i | −0.0808906 | − | 0.996723i | \(-0.525776\pi\) |
0.903633 | − | 0.428308i | \(-0.140890\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.49909 | − | 5.59468i | −0.0583078 | − | 0.217608i | 0.930624 | − | 0.365976i | \(-0.119265\pi\) |
−0.988932 | + | 0.148368i | \(0.952598\pi\) | |||||||
\(662\) | 30.2798 | − | 17.4821i | 1.17686 | − | 0.679459i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 9.57832i | 0.371711i | ||||||||
\(665\) | 0.324987 | + | 0.530494i | 0.0126025 | + | 0.0205717i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −40.9648 | + | 23.6511i | −1.58617 | + | 0.915773i | ||||
\(668\) | 0.165255 | − | 0.616740i | 0.00639391 | − | 0.0238624i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −7.68049 | − | 2.05798i | −0.296723 | − | 0.0795067i | ||||
\(671\) | −2.73436 | + | 2.73436i | −0.105559 | + | 0.105559i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −36.4698 | + | 21.0558i | −1.40581 | + | 0.811642i | −0.994980 | − | 0.100071i | \(-0.968093\pi\) |
−0.410826 | + | 0.911714i | \(0.634760\pi\) | |||||||
\(674\) | −23.5071 | − | 23.5071i | −0.905459 | − | 0.905459i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.30860 | + | 3.45680i | 0.0503309 | + | 0.132954i | ||||
\(677\) | −0.771810 | − | 0.445605i | −0.0296631 | − | 0.0171260i | 0.485095 | − | 0.874461i | \(-0.338785\pi\) |
−0.514758 | + | 0.857335i | \(0.672118\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −29.3626 | + | 30.9332i | −1.12683 | + | 1.18711i | ||||
\(680\) | −7.64004 | − | 4.41098i | −0.292982 | − | 0.169153i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −10.8907 | − | 10.8907i | −0.417028 | − | 0.417028i | ||||
\(683\) | −9.01592 | − | 9.01592i | −0.344985 | − | 0.344985i | 0.513253 | − | 0.858238i | \(-0.328440\pi\) |
−0.858238 | + | 0.513253i | \(0.828440\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −5.34208 | − | 3.08425i | −0.204110 | − | 0.117843i | ||||
\(686\) | 18.4399 | + | 15.7622i | 0.704038 | + | 0.601805i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 21.7613 | + | 12.5639i | 0.829641 | + | 0.478994i | ||||
\(689\) | 17.6480 | + | 20.7603i | 0.672337 | + | 0.790906i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 18.7650 | + | 18.7650i | 0.713855 | + | 0.713855i | 0.967340 | − | 0.253484i | \(-0.0815766\pi\) |
−0.253484 | + | 0.967340i | \(0.581577\pi\) | |||||||
\(692\) | 2.86655 | − | 1.65500i | 0.108970 | − | 0.0629138i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 2.16140 | − | 2.16140i | 0.0820457 | − | 0.0820457i | ||||
\(695\) | 4.80446 | + | 1.28735i | 0.182244 | + | 0.0488320i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 3.02041 | − | 11.2723i | 0.114406 | − | 0.426969i | ||||
\(698\) | −33.6448 | + | 19.4248i | −1.27347 | + | 0.735241i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 3.18610 | + | 1.73048i | 0.120423 | + | 0.0654059i | ||||
\(701\) | 0.589627i | 0.0222699i | 0.999938 | + | 0.0111350i | \(0.00354444\pi\) | ||||
−0.999938 | + | 0.0111350i | \(0.996456\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.87720 | − | 1.66115i | 0.108516 | − | 0.0626515i | ||||
\(704\) | −3.19068 | − | 11.9078i | −0.120253 | − | 0.448792i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.86078 | + | 4.95502i | −0.107667 | + | 0.186485i | ||||
\(707\) | −0.489802 | − | 18.8031i | −0.0184209 | − | 0.707165i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 0.917349 | − | 3.42359i | 0.0344518 | − | 0.128576i | −0.946558 | − | 0.322533i | \(-0.895466\pi\) |
0.981010 | + | 0.193957i | \(0.0621323\pi\) | |||||||
\(710\) | 2.08019 | + | 0.557384i | 0.0780680 | + | 0.0209183i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 34.6677 | 1.29923 | ||||||||
\(713\) | −63.5203 | − | 17.0202i | −2.37886 | − | 0.637412i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −1.63515 | + | 1.39001i | −0.0611510 | + | 0.0519835i | ||||
\(716\) | −2.68754 | + | 4.65495i | −0.100438 | + | 0.173964i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 14.0382 | − | 24.3149i | 0.523902 | − | 0.907425i | ||||
\(719\) | −3.90389 | − | 6.76173i | −0.145590 | − | 0.252170i | 0.784003 | − | 0.620757i | \(-0.213175\pi\) |
−0.929593 | + | 0.368587i | \(0.879842\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.708210 | + | 27.1877i | 0.0263751 | + | 1.01252i | ||||
\(722\) | 23.6506 | − | 6.33717i | 0.880186 | − | 0.235845i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.113913i | 0.00423355i | ||||||||
\(725\) | −25.1755 | − | 14.5351i | −0.934993 | − | 0.539819i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −7.63181 | −0.283048 | −0.141524 | − | 0.989935i | \(-0.545200\pi\) | ||||
−0.141524 | + | 0.989935i | \(0.545200\pi\) | |||||||
\(728\) | 28.4999 | + | 1.56371i | 1.05628 | + | 0.0579550i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 4.50598 | − | 4.50598i | 0.166774 | − | 0.166774i | ||||
\(731\) | 45.1161 | + | 26.0478i | 1.66868 | + | 0.963413i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −12.0644 | + | 3.23266i | −0.445610 | + | 0.119401i | −0.474645 | − | 0.880178i | \(-0.657423\pi\) |
0.0290344 | + | 0.999578i | \(0.490757\pi\) | |||||||
\(734\) | 15.9470 | − | 4.27299i | 0.588615 | − | 0.157719i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −8.84837 | − | 8.84837i | −0.326155 | − | 0.326155i | ||||
\(737\) | −10.0281 | − | 17.3692i | −0.369389 | − | 0.639801i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −18.0770 | + | 4.84371i | −0.664972 | + | 0.178179i | −0.575489 | − | 0.817810i | \(-0.695188\pi\) |
−0.0894831 | + | 0.995988i | \(0.528522\pi\) | |||||||
\(740\) | −0.361871 | + | 0.626780i | −0.0133027 | + | 0.0230409i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 25.1120 | − | 7.43478i | 0.921892 | − | 0.272939i | ||||
\(743\) | −15.7645 | − | 4.22409i | −0.578343 | − | 0.154967i | −0.0422231 | − | 0.999108i | \(-0.513444\pi\) |
−0.536120 | + | 0.844142i | \(0.680111\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 2.67904 | 0.0981524 | ||||||||
\(746\) | 20.1794 | + | 5.40706i | 0.738822 | + | 0.197967i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.716834 | − | 2.67526i | −0.0262100 | − | 0.0978172i | ||||
\(749\) | 10.1394 | − | 6.21154i | 0.370486 | − | 0.226965i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.91061i | 0.0697190i | 0.999392 | + | 0.0348595i | \(0.0110984\pi\) | ||||
−0.999392 | + | 0.0348595i | \(0.988902\pi\) | |||||||
\(752\) | −8.79784 | − | 32.8340i | −0.320824 | − | 1.19733i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −28.3911 | − | 2.30059i | −1.03394 | − | 0.0837826i | ||||
\(755\) | 2.40595i | 0.0875616i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −25.6580 | − | 44.4410i | −0.932556 | − | 1.61523i | −0.778935 | − | 0.627105i | \(-0.784240\pi\) |
−0.153622 | − | 0.988130i | \(-0.549094\pi\) | |||||||
\(758\) | −38.8306 | + | 22.4189i | −1.41039 | + | 0.814289i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0.497496 | − | 0.497496i | 0.0180461 | − | 0.0180461i | ||||
\(761\) | 24.1952 | + | 6.48309i | 0.877076 | + | 0.235012i | 0.669145 | − | 0.743132i | \(-0.266660\pi\) |
0.207931 | + | 0.978143i | \(0.433327\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 11.5171 | − | 3.40980i | 0.416946 | − | 0.123443i | ||||
\(764\) | 2.52441 | − | 1.45747i | 0.0913301 | − | 0.0527295i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −8.54586 | − | 14.8019i | −0.308774 | − | 0.534813i | ||||
\(767\) | −14.0096 | + | 20.2833i | −0.505857 | + | 0.732388i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 10.9969 | − | 41.0409i | 0.396558 | − | 1.47997i | −0.422553 | − | 0.906338i | \(-0.638866\pi\) |
0.819111 | − | 0.573635i | \(-0.194467\pi\) | |||||||
\(770\) | 0.585586 | + | 1.97790i | 0.0211031 | + | 0.0712785i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −0.659552 | − | 2.46148i | −0.0237378 | − | 0.0885906i | ||||
\(773\) | −18.6449 | − | 18.6449i | −0.670609 | − | 0.670609i | 0.287248 | − | 0.957856i | \(-0.407260\pi\) |
−0.957856 | + | 0.287248i | \(0.907260\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −10.4600 | − | 39.0372i | −0.375734 | − | 1.40226i | ||||
\(776\) | 41.7711 | + | 24.1166i | 1.49950 | + | 0.865734i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.80341 | − | 21.6586i | 0.208062 | − | 0.776500i | ||||
\(779\) | 0.806008 | + | 0.465349i | 0.0288782 | + | 0.0166728i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 2.71601 | + | 4.70427i | 0.0971865 | + | 0.168332i | ||||
\(782\) | 50.4577 | + | 50.4577i | 1.80437 | + | 1.80437i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 10.6534 | − | 20.8944i | 0.380480 | − | 0.746228i | ||||
\(785\) | 1.40401 | − | 1.40401i | 0.0501113 | − | 0.0501113i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −37.4963 | + | 37.4963i | −1.33660 | + | 1.33660i | −0.437270 | + | 0.899330i | \(0.644055\pi\) |
−0.899330 | + | 0.437270i | \(0.855945\pi\) | |||||||
\(788\) | −0.308002 | + | 1.14948i | −0.0109721 | + | 0.0409485i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 2.40565 | + | 4.16670i | 0.0855891 | + | 0.148245i | ||||
\(791\) | 0.470656 | + | 18.0681i | 0.0167346 | + | 0.642429i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −7.57519 | + | 6.43955i | −0.269003 | + | 0.228675i | ||||
\(794\) | −10.9966 | + | 6.34890i | −0.390256 | + | 0.225314i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0.0207987i | 0.000737189i | ||||||||
\(797\) | −23.6844 | + | 41.0227i | −0.838946 | + | 1.45310i | 0.0518307 | + | 0.998656i | \(0.483494\pi\) |
−0.890777 | + | 0.454441i | \(0.849839\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −18.2399 | − | 68.0724i | −0.645283 | − | 2.40823i | ||||
\(800\) | 1.99040 | − | 7.42828i | 0.0703713 | − | 0.262629i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 10.0821 | 0.356013 | ||||||||
\(803\) | 16.0734 | 0.567218 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 6.38781 | + | 6.06347i | 0.225141 | + | 0.213709i | ||||
\(806\) | −25.6482 | − | 30.1713i | −0.903418 | − | 1.06274i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −20.5470 | + | 5.50554i | −0.722840 | + | 0.193684i | ||||
\(809\) | 5.86227 | − | 10.1538i | 0.206107 | − | 0.356987i | −0.744378 | − | 0.667758i | \(-0.767254\pi\) |
0.950485 | + | 0.310771i | \(0.100587\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −9.09842 | − | 9.09842i | −0.319489 | − | 0.319489i | 0.529082 | − | 0.848571i | \(-0.322536\pi\) |
−0.848571 | + | 0.529082i | \(0.822536\pi\) | |||||||
\(812\) | 2.16545 | − | 3.98696i | 0.0759923 | − | 0.139915i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 10.6403 | − | 2.85107i | 0.372943 | − | 0.0999298i | ||||
\(815\) | − | 5.11011i | − | 0.178999i | ||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −2.93782 | + | 2.93782i | −0.102781 | + | 0.102781i | ||||
\(818\) | −4.04419 | −0.141402 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.202747 | −0.00708022 | ||||||||
\(821\) | 34.0250 | − | 34.0250i | 1.18748 | − | 1.18748i | 0.209718 | − | 0.977762i | \(-0.432745\pi\) |
0.977762 | − | 0.209718i | \(-0.0672546\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | − | 16.4408i | − | 0.573091i | −0.958067 | − | 0.286545i | \(-0.907493\pi\) | ||
0.958067 | − | 0.286545i | \(-0.0925069\pi\) | |||||||
\(824\) | 29.7091 | − | 7.96052i | 1.03496 | − | 0.277318i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 12.3772 | + | 20.2039i | 0.430657 | + | 0.702984i | ||||
\(827\) | −17.6849 | − | 17.6849i | −0.614966 | − | 0.614966i | 0.329270 | − | 0.944236i | \(-0.393197\pi\) |
−0.944236 | + | 0.329270i | \(0.893197\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 17.4550 | − | 30.2330i | 0.606239 | − | 1.05004i | −0.385616 | − | 0.922660i | \(-0.626011\pi\) |
0.991854 | − | 0.127377i | \(-0.0406558\pi\) | |||||||
\(830\) | −1.71912 | + | 0.460637i | −0.0596716 | + | 0.0159890i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.70400 | − | 31.1788i | −0.197750 | − | 1.08093i | ||||
\(833\) | 22.0870 | − | 43.3189i | 0.765269 | − | 1.50091i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0.953186 | 0.0329864 | ||||||||
\(836\) | 0.220883 | 0.00763939 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0.897988 | − | 3.35134i | 0.0310205 | − | 0.115770i | ||||
\(839\) | 11.7730 | + | 43.9373i | 0.406448 | + | 1.51689i | 0.801369 | + | 0.598170i | \(0.204105\pi\) |
−0.394921 | + | 0.918715i | \(0.629228\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.68858 | + | 6.38881i | −0.127192 | + | 0.220304i | ||||
\(842\) | − | 16.6061i | − | 0.572283i | ||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −5.10860 | + | 2.94945i | −0.175845 | + | 0.101524i | ||||
\(845\) | −4.47905 | + | 3.22264i | −0.154084 | + | 0.110862i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 11.4071 | − | 21.0024i | 0.391953 | − | 0.721651i | ||||
\(848\) | −12.6602 | − | 21.9282i | −0.434754 | − | 0.753017i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −11.3502 | + | 42.3597i | −0.389310 | + | 1.45293i | ||||
\(851\) | 33.2577 | − | 33.2577i | 1.14006 | − | 1.14006i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 21.3746 | − | 21.3746i | 0.731852 | − | 0.731852i | −0.239134 | − | 0.970987i | \(-0.576864\pi\) |
0.970987 | + | 0.239134i | \(0.0768636\pi\) | |||||||
\(854\) | 2.71286 | + | 9.16307i | 0.0928322 | + | 0.313554i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −9.50872 | − | 9.50872i | −0.325001 | − | 0.325001i | ||||
\(857\) | −25.9528 | − | 44.9515i | −0.886530 | − | 1.53552i | −0.843950 | − | 0.536422i | \(-0.819775\pi\) |
−0.0425805 | − | 0.999093i | \(-0.513558\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −38.6675 | − | 22.3247i | −1.31932 | − | 0.761708i | −0.335699 | − | 0.941969i | \(-0.608972\pi\) |
−0.983619 | + | 0.180261i | \(0.942306\pi\) | |||||||
\(860\) | 0.234251 | − | 0.874237i | 0.00798789 | − | 0.0298112i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 13.1585 | + | 7.59707i | 0.448181 | + | 0.258757i | ||||
\(863\) | −9.68381 | − | 36.1405i | −0.329641 | − | 1.23024i | −0.909564 | − | 0.415565i | \(-0.863584\pi\) |
0.579923 | − | 0.814671i | \(-0.303083\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 3.49408 | + | 3.49408i | 0.118802 | + | 0.118802i | ||||
\(866\) | 0.735671 | + | 2.74556i | 0.0249991 | + | 0.0932980i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 6.04809 | − | 1.79063i | 0.205286 | − | 0.0607778i | ||||
\(869\) | −3.14095 | + | 11.7222i | −0.106549 | + | 0.397648i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −22.0921 | − | 46.5945i | −0.748564 | − | 1.57879i | ||||
\(872\) | −6.79178 | − | 11.7637i | −0.229999 | − | 0.398369i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −4.92848 | + | 2.84546i | −0.166708 | + | 0.0962490i | ||||
\(875\) | −2.57583 | + | 10.7226i | −0.0870789 | + | 0.362491i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −30.5935 | − | 8.19750i | −1.03307 | − | 0.276810i | −0.297830 | − | 0.954619i | \(-0.596263\pi\) |
−0.735238 | + | 0.677809i | \(0.762930\pi\) | |||||||
\(878\) | 19.2057 | − | 19.2057i | 0.648161 | − | 0.648161i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 1.72713 | − | 0.997159i | 0.0582215 | − | 0.0336142i | ||||
\(881\) | 19.0003 | + | 32.9095i | 0.640138 | + | 1.10875i | 0.985402 | + | 0.170245i | \(0.0544560\pi\) |
−0.345264 | + | 0.938506i | \(0.612211\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 17.8135i | 0.599473i | 0.954022 | + | 0.299736i | \(0.0968987\pi\) | ||||
−0.954022 | + | 0.299736i | \(0.903101\pi\) | |||||||
\(884\) | −1.28149 | − | 7.00477i | −0.0431011 | − | 0.235596i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −6.35155 | − | 23.7043i | −0.213384 | − | 0.796361i | ||||
\(887\) | 52.8690i | 1.77517i | 0.460648 | + | 0.887583i | \(0.347617\pi\) | ||||
−0.460648 | + | 0.887583i | \(0.652383\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −1.06127 | + | 1.95397i | −0.0355937 | + | 0.0655340i | ||||
\(890\) | 1.66723 | + | 6.22218i | 0.0558856 | + | 0.208568i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −0.0301006 | − | 0.00806543i | −0.00100784 | − | 0.000270051i | ||||
\(893\) | 5.62039 | 0.188079 | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.75081 | − | 2.07682i | −0.259081 | − | 0.0694206i | ||||
\(896\) | −21.4130 | − | 5.14391i | −0.715359 | − | 0.171846i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −9.63260 | + | 16.6841i | −0.321444 | + | 0.556757i | ||||
\(899\) | −48.8496 | + | 13.0892i | −1.62923 | + | 0.436550i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −26.2476 | − | 45.4621i | −0.874434 | − | 1.51456i | ||||
\(902\) | 2.18205 | + | 2.18205i | 0.0726544 | + | 0.0726544i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 19.7438 | − | 5.29034i | 0.656669 | − | 0.175954i | ||||
\(905\) | −0.164262 | + | 0.0440139i | −0.00546025 | + | 0.00146307i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 33.3744 | + | 19.2687i | 1.10818 | + | 0.639808i | 0.938357 | − | 0.345666i | \(-0.112347\pi\) |
0.169823 | + | 0.985475i | \(0.445680\pi\) | |||||||
\(908\) | 0.633640 | − | 0.633640i | 0.0210281 | − | 0.0210281i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.08995 | + | 5.19038i | 0.0361315 | + | 0.172059i | ||||
\(911\) | 11.2153 | 0.371581 | 0.185790 | − | 0.982589i | \(-0.440515\pi\) | ||||
0.185790 | + | 0.982589i | \(0.440515\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.88773 | − | 2.24458i | −0.128665 | − | 0.0742849i | ||||
\(914\) | − | 31.8410i | − | 1.05321i | ||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −4.40255 | + | 1.17966i | −0.145464 | + | 0.0389770i | ||||
\(917\) | −47.8386 | + | 1.24615i | −1.57977 | + | 0.0411513i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 23.0555 | + | 39.9334i | 0.760532 | + | 1.31728i | 0.942577 | + | 0.333990i | \(0.108395\pi\) |
−0.182045 | + | 0.983290i | \(0.558272\pi\) | |||||||
\(920\) | 4.98015 | − | 8.62588i | 0.164191 | − | 0.284387i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 2.51991 | − | 4.36461i | 0.0829888 | − | 0.143741i | ||||
\(923\) | 5.98344 | + | 12.6197i | 0.196947 | + | 0.415381i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 27.9202 | + | 7.48118i | 0.918009 | + | 0.245980i | ||||
\(926\) | −9.25506 | −0.304140 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −9.29544 | − | 2.49071i | −0.305138 | − | 0.0817614i | ||||
\(929\) | −0.331311 | + | 1.23647i | −0.0108700 | + | 0.0405673i | −0.971148 | − | 0.238478i | \(-0.923351\pi\) |
0.960278 | + | 0.279046i | \(0.0900181\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 2.88113 | + | 2.59561i | 0.0944251 | + | 0.0850676i | ||||
\(932\) | −3.58774 | + | 6.21415i | −0.117520 | + | 0.203551i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 2.92987 | + | 10.9344i | 0.0958682 | + | 0.357785i | ||||
\(935\) | 3.58073 | − | 2.06734i | 0.117103 | − | 0.0676092i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 33.7512i | 1.10261i | 0.834305 | + | 0.551303i | \(0.185869\pi\) | ||||
−0.834305 | + | 0.551303i | \(0.814131\pi\) | |||||||
\(938\) | −49.5468 | + | 1.29064i | −1.61776 | + | 0.0421410i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −1.06033 | + | 0.612183i | −0.0345842 | + | 0.0199672i | ||||
\(941\) | 9.79130 | − | 36.5416i | 0.319187 | − | 1.19122i | −0.600840 | − | 0.799369i | \(-0.705167\pi\) |
0.920027 | − | 0.391854i | \(-0.128166\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 12.7268 | + | 3.41015i | 0.414443 | + | 0.111050i | ||||
\(944\) | 16.1981 | − | 16.1981i | 0.527202 | − | 0.527202i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −11.9301 | + | 6.88782i | −0.387880 | + | 0.223942i | ||||
\(947\) | 8.67668 | + | 8.67668i | 0.281954 | + | 0.281954i | 0.833888 | − | 0.551934i | \(-0.186110\pi\) |
−0.551934 | + | 0.833888i | \(0.686110\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 41.1914 | + | 3.33782i | 1.33713 | + | 0.108350i | ||||
\(950\) | −3.02886 | − | 1.74871i | −0.0982691 | − | 0.0567357i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −53.4688 | − | 12.8445i | −1.73293 | − | 0.416291i | ||||
\(953\) | 22.7640 | + | 13.1428i | 0.737399 | + | 0.425738i | 0.821123 | − | 0.570751i | \(-0.193348\pi\) |
−0.0837238 | + | 0.996489i | \(0.526681\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 3.07705 | + | 3.07705i | 0.0995709 | + | 0.0995709i | ||||
\(956\) | −1.02219 | − | 1.02219i | −0.0330599 | − | 0.0330599i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 28.8448 | + | 16.6535i | 0.931932 | + | 0.538051i | ||||
\(959\) | −37.3865 | − | 8.98112i | −1.20727 | − | 0.290015i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −34.0418 | − | 19.6541i | −1.09812 | − | 0.634002i | ||||
\(962\) | 27.8601 | − | 5.09686i | 0.898245 | − | 0.164329i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.612693 | + | 0.612693i | 0.0197335 | + | 0.0197335i | ||||
\(965\) | 3.29460 | − | 1.90214i | 0.106057 | − | 0.0612319i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 18.8266 | − | 18.8266i | 0.605423 | − | 0.605423i | −0.336323 | − | 0.941747i | \(-0.609184\pi\) |
0.941747 | + | 0.336323i | \(0.109184\pi\) | |||||||
\(968\) | −26.1080 | − | 6.99561i | −0.839142 | − | 0.224847i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −2.31961 | + | 8.65690i | −0.0744782 | + | 0.277956i | ||||
\(971\) | −15.1611 | + | 8.75326i | −0.486542 | + | 0.280905i | −0.723139 | − | 0.690703i | \(-0.757301\pi\) |
0.236597 | + | 0.971608i | \(0.423968\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 30.9936 | − | 0.807350i | 0.993608 | − | 0.0258825i | ||||
\(974\) | 24.2812i | 0.778019i | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.00132 | − | 4.61957i | 0.256116 | − | 0.147869i | ||||
\(977\) | −4.51447 | − | 16.8482i | −0.144431 | − | 0.539023i | −0.999780 | − | 0.0209713i | \(-0.993324\pi\) |
0.855349 | − | 0.518052i | \(-0.173343\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −8.12404 | + | 14.0712i | −0.259645 | + | 0.449719i | ||||
\(980\) | −0.826266 | − | 0.175865i | −0.0263941 | − | 0.00561779i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 9.80556 | − | 36.5949i | 0.312908 | − | 1.16779i | ||||
\(983\) | 36.1248 | + | 9.67960i | 1.15220 | + | 0.308731i | 0.783847 | − | 0.620954i | \(-0.213255\pi\) |
0.368354 | + | 0.929685i | \(0.379921\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −1.77655 | −0.0566054 | ||||||||
\(986\) | 53.0072 | + | 14.2032i | 1.68809 | + | 0.452323i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0.566057 | + | 0.0458688i | 0.0180087 | + | 0.00145928i | ||||
\(989\) | −29.4089 | + | 50.9377i | −0.935149 | + | 1.61972i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.56709 | + | 13.1066i | −0.240377 | + | 0.416344i | −0.960822 | − | 0.277168i | \(-0.910604\pi\) |
0.720445 | + | 0.693512i | \(0.243938\pi\) | |||||||
\(992\) | −6.68936 | − | 11.5863i | −0.212387 | − | 0.367866i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 13.4193 | − | 0.349558i | 0.425634 | − | 0.0110873i | ||||
\(995\) | −0.0299915 | + | 0.00803620i | −0.000950795 | + | 0.000254765i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 43.0361i | 1.36297i | 0.731834 | + | 0.681483i | \(0.238665\pi\) | ||||
−0.731834 | + | 0.681483i | \(0.761335\pi\) | |||||||
\(998\) | −32.8194 | − | 18.9483i | −1.03888 | − | 0.599798i | ||||
\(999\) | 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.et.c.145.7 | 36 | ||
3.2 | odd | 2 | 273.2.bt.a.145.3 | ✓ | 36 | ||
7.3 | odd | 6 | 819.2.gh.c.262.7 | 36 | |||
13.7 | odd | 12 | 819.2.gh.c.397.7 | 36 | |||
21.17 | even | 6 | 273.2.cg.a.262.3 | yes | 36 | ||
39.20 | even | 12 | 273.2.cg.a.124.3 | yes | 36 | ||
91.59 | even | 12 | inner | 819.2.et.c.514.7 | 36 | ||
273.59 | odd | 12 | 273.2.bt.a.241.3 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.bt.a.145.3 | ✓ | 36 | 3.2 | odd | 2 | ||
273.2.bt.a.241.3 | yes | 36 | 273.59 | odd | 12 | ||
273.2.cg.a.124.3 | yes | 36 | 39.20 | even | 12 | ||
273.2.cg.a.262.3 | yes | 36 | 21.17 | even | 6 | ||
819.2.et.c.145.7 | 36 | 1.1 | even | 1 | trivial | ||
819.2.et.c.514.7 | 36 | 91.59 | even | 12 | inner | ||
819.2.gh.c.262.7 | 36 | 7.3 | odd | 6 | |||
819.2.gh.c.397.7 | 36 | 13.7 | odd | 12 |