Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [405,2,Mod(8,405)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(405, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([2, 27]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("405.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 405 = 3^{4} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 405.r (of order \(36\), degree \(12\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.23394128186\) |
Analytic rank: | \(0\) |
Dimension: | \(192\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{36})\) |
Twist minimal: | no (minimal twist has level 135) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 197.16 | ||
Character | \(\chi\) | \(=\) | 405.197 |
Dual form | 405.2.r.a.368.16 |
$q$-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 \(\left(\mathbb{Z}/405\mathbb{Z}\right)^\times\).
\(n\) | \(82\) | \(326\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{13}{18}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.71476 | − | 0.237511i | 1.91963 | − | 0.167946i | 0.936476 | − | 0.350732i | \(-0.114067\pi\) |
0.983153 | + | 0.182786i | \(0.0585116\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 5.34392 | − | 0.942278i | 2.67196 | − | 0.471139i | ||||
\(5\) | −1.08230 | + | 1.95669i | −0.484017 | + | 0.875059i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.29639 | + | 0.907744i | −0.489990 | + | 0.343095i | −0.792317 | − | 0.610109i | \(-0.791126\pi\) |
0.302327 | + | 0.953204i | \(0.402237\pi\) | |||||||
\(8\) | 9.01913 | − | 2.41667i | 3.18874 | − | 0.854422i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −2.47344 | + | 5.56901i | −0.782171 | + | 1.76108i | ||||
\(11\) | −0.162954 | − | 0.447712i | −0.0491325 | − | 0.134990i | 0.912699 | − | 0.408632i | \(-0.133994\pi\) |
−0.961832 | + | 0.273642i | \(0.911772\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.242081 | − | 2.76700i | 0.0671411 | − | 0.767427i | −0.885760 | − | 0.464144i | \(-0.846362\pi\) |
0.952901 | − | 0.303282i | \(-0.0980826\pi\) | |||||||
\(14\) | −3.30380 | + | 2.77222i | −0.882978 | + | 0.740907i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 13.7126 | − | 4.99098i | 3.42815 | − | 1.24775i | ||||
\(17\) | −3.35386 | − | 0.898665i | −0.813431 | − | 0.217958i | −0.171959 | − | 0.985104i | \(-0.555010\pi\) |
−0.641473 | + | 0.767146i | \(0.721676\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.97319 | − | 1.13922i | −0.452681 | − | 0.261356i | 0.256281 | − | 0.966602i | \(-0.417503\pi\) |
−0.708962 | + | 0.705247i | \(0.750836\pi\) | |||||||
\(20\) | −3.93995 | + | 11.4762i | −0.881001 | + | 2.56616i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.548719 | − | 1.17673i | −0.116987 | − | 0.250880i | ||||
\(23\) | 0.230790 | − | 0.329603i | 0.0481231 | − | 0.0687269i | −0.794369 | − | 0.607435i | \(-0.792199\pi\) |
0.842493 | + | 0.538708i | \(0.181087\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −2.65727 | − | 4.23543i | −0.531455 | − | 0.847087i | ||||
\(26\) | − | 7.56924i | − | 1.48445i | ||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −6.07248 | + | 6.07248i | −1.14759 | + | 1.14759i | ||||
\(29\) | −4.29568 | − | 3.60450i | −0.797687 | − | 0.669339i | 0.149948 | − | 0.988694i | \(-0.452089\pi\) |
−0.947635 | + | 0.319355i | \(0.896534\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.908475 | + | 5.15222i | 0.163167 | + | 0.925366i | 0.950934 | + | 0.309393i | \(0.100126\pi\) |
−0.787767 | + | 0.615973i | \(0.788763\pi\) | |||||||
\(32\) | 19.1162 | − | 8.91403i | 3.37930 | − | 1.57579i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −9.31839 | − | 1.64308i | −1.59809 | − | 0.281787i | ||||
\(35\) | −0.373094 | − | 3.51909i | −0.0630645 | − | 0.594834i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −0.387140 | + | 1.44483i | −0.0636454 | + | 0.237528i | −0.990420 | − | 0.138091i | \(-0.955903\pi\) |
0.926774 | + | 0.375619i | \(0.122570\pi\) | |||||||
\(38\) | −5.62733 | − | 2.62407i | −0.912873 | − | 0.425680i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −5.03269 | + | 20.2632i | −0.795738 | + | 3.20389i | ||||
\(41\) | 4.99389 | + | 5.95149i | 0.779915 | + | 0.929467i | 0.998930 | − | 0.0462550i | \(-0.0147287\pi\) |
−0.219015 | + | 0.975722i | \(0.570284\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −0.501128 | + | 1.07467i | −0.0764213 | + | 0.163886i | −0.940806 | − | 0.338944i | \(-0.889930\pi\) |
0.864385 | + | 0.502830i | \(0.167708\pi\) | |||||||
\(44\) | −1.29268 | − | 2.23899i | −0.194879 | − | 0.337541i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.548257 | − | 0.949609i | 0.0808361 | − | 0.140012i | ||||
\(47\) | −6.94767 | − | 9.92230i | −1.01342 | − | 1.44732i | −0.890546 | − | 0.454894i | \(-0.849677\pi\) |
−0.122876 | − | 0.992422i | \(-0.539212\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.53751 | + | 4.22426i | −0.219644 | + | 0.603466i | ||||
\(50\) | −8.21984 | − | 10.8671i | −1.16246 | − | 1.53684i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −1.31362 | − | 15.0147i | −0.182166 | − | 2.08217i | ||||
\(53\) | 0.274270 | + | 0.274270i | 0.0376738 | + | 0.0376738i | 0.725693 | − | 0.688019i | \(-0.241519\pi\) |
−0.688019 | + | 0.725693i | \(0.741519\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.05240 | + | 0.165706i | 0.141905 | + | 0.0223439i | ||||
\(56\) | −9.49862 | + | 11.3200i | −1.26931 | + | 1.51270i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −12.5179 | − | 8.76510i | −1.64368 | − | 1.15091i | ||||
\(59\) | 3.33385 | + | 1.21342i | 0.434031 | + | 0.157974i | 0.549790 | − | 0.835303i | \(-0.314708\pi\) |
−0.115759 | + | 0.993277i | \(0.536930\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.59716 | + | 9.05792i | −0.204495 | + | 1.15975i | 0.693738 | + | 0.720228i | \(0.255963\pi\) |
−0.898233 | + | 0.439520i | \(0.855149\pi\) | |||||||
\(62\) | 3.69001 | + | 13.7713i | 0.468631 | + | 1.74896i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 24.5036 | − | 14.1471i | 3.06294 | − | 1.76839i | ||||
\(65\) | 5.15215 | + | 3.46838i | 0.639046 | + | 0.430200i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 13.1561 | + | 1.15101i | 1.60727 | + | 0.140618i | 0.855142 | − | 0.518394i | \(-0.173470\pi\) |
0.752132 | + | 0.659012i | \(0.229025\pi\) | |||||||
\(68\) | −18.7696 | − | 1.64212i | −2.27614 | − | 0.199137i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −1.84869 | − | 9.46488i | −0.220960 | − | 1.13127i | ||||
\(71\) | 13.8198 | − | 7.97886i | 1.64011 | − | 0.946916i | 0.659313 | − | 0.751869i | \(-0.270847\pi\) |
0.980794 | − | 0.195047i | \(-0.0624860\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 2.07381 | + | 7.73957i | 0.242721 | + | 0.905849i | 0.974515 | + | 0.224322i | \(0.0720168\pi\) |
−0.731794 | + | 0.681526i | \(0.761317\pi\) | |||||||
\(74\) | −0.707832 | + | 4.01431i | −0.0822838 | + | 0.466655i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −11.6180 | − | 4.22862i | −1.33268 | − | 0.485056i | ||||
\(77\) | 0.617661 | + | 0.432491i | 0.0703890 | + | 0.0492869i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −2.85683 | + | 3.40464i | −0.321418 | + | 0.383051i | −0.902425 | − | 0.430848i | \(-0.858215\pi\) |
0.581006 | + | 0.813899i | \(0.302659\pi\) | |||||||
\(80\) | −5.07529 | + | 32.2331i | −0.567434 | + | 3.60377i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 14.9708 | + | 14.9708i | 1.65325 | + | 1.65325i | ||||
\(83\) | −0.253902 | − | 2.90211i | −0.0278694 | − | 0.318548i | −0.997314 | − | 0.0732395i | \(-0.976666\pi\) |
0.969445 | − | 0.245309i | \(-0.0788893\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 5.38828 | − | 5.58985i | 0.584441 | − | 0.606304i | ||||
\(86\) | −1.10520 | + | 3.03651i | −0.119177 | + | 0.327435i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.55168 | − | 3.64417i | −0.272010 | − | 0.388470i | ||||
\(89\) | −3.50126 | + | 6.06435i | −0.371132 | + | 0.642820i | −0.989740 | − | 0.142880i | \(-0.954364\pi\) |
0.618608 | + | 0.785700i | \(0.287697\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.19789 | + | 3.80686i | 0.230402 | + | 0.399068i | ||||
\(92\) | 0.922748 | − | 1.97884i | 0.0962031 | − | 0.206308i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −21.2179 | − | 25.2866i | −2.18846 | − | 2.60811i | ||||
\(95\) | 4.36468 | − | 2.62795i | 0.447807 | − | 0.269622i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −6.86175 | − | 3.19969i | −0.696705 | − | 0.324879i | 0.0418007 | − | 0.999126i | \(-0.486691\pi\) |
−0.738506 | + | 0.674247i | \(0.764468\pi\) | |||||||
\(98\) | −3.17066 | + | 11.8331i | −0.320285 | + | 1.19532i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −18.1912 | − | 20.1299i | −1.81912 | − | 2.01299i | ||||
\(101\) | −5.72678 | − | 1.00979i | −0.569836 | − | 0.100477i | −0.118696 | − | 0.992931i | \(-0.537871\pi\) |
−0.451140 | + | 0.892453i | \(0.648983\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −4.05522 | + | 1.89098i | −0.399573 | + | 0.186324i | −0.612009 | − | 0.790851i | \(-0.709638\pi\) |
0.212436 | + | 0.977175i | \(0.431860\pi\) | |||||||
\(104\) | −4.50356 | − | 25.5409i | −0.441610 | − | 2.50450i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.809720 | + | 0.679435i | 0.0786469 | + | 0.0659926i | ||||
\(107\) | −0.577939 | + | 0.577939i | −0.0558714 | + | 0.0558714i | −0.734490 | − | 0.678619i | \(-0.762579\pi\) |
0.678619 | + | 0.734490i | \(0.262579\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | − | 8.45996i | − | 0.810317i | −0.914246 | − | 0.405159i | \(-0.867216\pi\) | ||
0.914246 | − | 0.405159i | \(-0.132784\pi\) | |||||||
\(110\) | 2.89637 | + | 0.199898i | 0.276158 | + | 0.0190595i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −13.2464 | + | 18.9178i | −1.25167 | + | 1.78757i | ||||
\(113\) | 0.921497 | + | 1.97616i | 0.0866871 | + | 0.185901i | 0.944872 | − | 0.327439i | \(-0.106186\pi\) |
−0.858185 | + | 0.513340i | \(0.828408\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0.395147 | + | 0.808313i | 0.0368477 | + | 0.0753756i | ||||
\(116\) | −26.3522 | − | 15.2145i | −2.44674 | − | 1.41263i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 9.33883 | + | 2.50233i | 0.859709 | + | 0.230358i | ||||
\(119\) | 5.16368 | − | 1.87943i | 0.473354 | − | 0.172287i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 8.25260 | − | 6.92475i | 0.750236 | − | 0.629523i | ||||
\(122\) | −2.18454 | + | 24.9695i | −0.197779 | + | 2.26063i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 9.70964 | + | 26.6770i | 0.871952 | + | 2.39567i | ||||
\(125\) | 11.1634 | − | 0.615475i | 0.998484 | − | 0.0550498i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −3.44795 | + | 0.923874i | −0.305956 | + | 0.0819806i | −0.408530 | − | 0.912745i | \(-0.633959\pi\) |
0.102575 | + | 0.994725i | \(0.467292\pi\) | |||||||
\(128\) | 28.6056 | − | 20.0298i | 2.52840 | − | 1.77040i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 14.8107 | + | 8.19215i | 1.29898 | + | 0.718499i | ||||
\(131\) | 3.02885 | − | 0.534068i | 0.264632 | − | 0.0466617i | −0.0397579 | − | 0.999209i | \(-0.512659\pi\) |
0.304390 | + | 0.952548i | \(0.401548\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.59215 | − | 0.314273i | 0.311479 | − | 0.0272509i | ||||
\(134\) | 35.9891 | 3.10899 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −32.4207 | −2.78005 | ||||||||
\(137\) | −2.06926 | + | 0.181036i | −0.176788 | + | 0.0154670i | −0.175206 | − | 0.984532i | \(-0.556059\pi\) |
−0.00158226 | + | 0.999999i | \(0.500504\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 15.2015 | − | 2.68044i | 1.28938 | − | 0.227352i | 0.513420 | − | 0.858137i | \(-0.328378\pi\) |
0.775957 | + | 0.630785i | \(0.217267\pi\) | |||||||
\(140\) | −5.30974 | − | 18.4542i | −0.448755 | − | 1.55966i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 35.6224 | − | 24.9431i | 2.98937 | − | 2.09318i | ||||
\(143\) | −1.27827 | + | 0.342511i | −0.106894 | + | 0.0286422i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 11.7021 | − | 4.50418i | 0.971805 | − | 0.374051i | ||||
\(146\) | 7.46815 | + | 20.5186i | 0.618068 | + | 1.69813i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −0.707419 | + | 8.08583i | −0.0581495 | + | 0.664651i | ||||
\(149\) | −12.0609 | + | 10.1203i | −0.988065 | + | 0.829085i | −0.985286 | − | 0.170911i | \(-0.945329\pi\) |
−0.00277827 | + | 0.999996i | \(0.500884\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.00956 | + | 0.367451i | −0.0821571 | + | 0.0299027i | −0.382772 | − | 0.923843i | \(-0.625030\pi\) |
0.300615 | + | 0.953746i | \(0.402808\pi\) | |||||||
\(152\) | −20.5496 | − | 5.50625i | −1.66679 | − | 0.446616i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.77953 | + | 1.02741i | 0.143398 | + | 0.0827910i | ||||
\(155\) | −11.0645 | − | 3.79862i | −0.888725 | − | 0.305112i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.27543 | − | 15.6022i | −0.580643 | − | 1.24519i | −0.948932 | − | 0.315481i | \(-0.897834\pi\) |
0.368289 | − | 0.929711i | \(-0.379944\pi\) | |||||||
\(158\) | −6.94698 | + | 9.92131i | −0.552672 | + | 0.789297i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −3.24737 | + | 47.0521i | −0.256727 | + | 3.71979i | ||||
\(161\) | 0.636793i | 0.0501863i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 2.47310 | − | 2.47310i | 0.193708 | − | 0.193708i | −0.603588 | − | 0.797296i | \(-0.706263\pi\) |
0.797296 | + | 0.603588i | \(0.206263\pi\) | |||||||
\(164\) | 32.2949 | + | 27.0987i | 2.52181 | + | 2.11605i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.37857 | − | 7.81825i | −0.106998 | − | 0.606814i | ||||
\(167\) | 5.97097 | − | 2.78431i | 0.462048 | − | 0.215456i | −0.177634 | − | 0.984097i | \(-0.556844\pi\) |
0.639681 | + | 0.768640i | \(0.279066\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 5.20483 | + | 0.917752i | 0.400372 | + | 0.0705963i | ||||
\(170\) | 13.3003 | − | 16.4549i | 1.02008 | − | 1.26203i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −1.66535 | + | 6.21517i | −0.126982 | + | 0.473902i | ||||
\(173\) | 9.69016 | + | 4.51859i | 0.736729 | + | 0.343542i | 0.754500 | − | 0.656300i | \(-0.227879\pi\) |
−0.0177714 | + | 0.999842i | \(0.505657\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 7.28956 | + | 3.07866i | 0.551039 | + | 0.232725i | ||||
\(176\) | −4.46905 | − | 5.32601i | −0.336867 | − | 0.401463i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −8.06473 | + | 17.2949i | −0.604477 | + | 1.29631i | ||||
\(179\) | 3.31311 | + | 5.73847i | 0.247633 | + | 0.428913i | 0.962869 | − | 0.269970i | \(-0.0870139\pi\) |
−0.715235 | + | 0.698884i | \(0.753681\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.36897 | + | 7.56727i | −0.324743 | + | 0.562471i | −0.981460 | − | 0.191666i | \(-0.938611\pi\) |
0.656717 | + | 0.754137i | \(0.271944\pi\) | |||||||
\(182\) | 6.87094 | + | 9.81271i | 0.509308 | + | 0.727367i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.28499 | − | 3.53048i | 0.0947306 | − | 0.260270i | ||||
\(185\) | −2.40808 | − | 2.32124i | −0.177045 | − | 0.170661i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.144182 | + | 1.64801i | 0.0105436 | + | 0.120514i | ||||
\(188\) | −46.4773 | − | 46.4773i | −3.38971 | − | 3.38971i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 11.2249 | − | 8.17092i | 0.814341 | − | 0.592781i | ||||
\(191\) | 12.9658 | − | 15.4521i | 0.938176 | − | 1.11807i | −0.0546500 | − | 0.998506i | \(-0.517404\pi\) |
0.992826 | − | 0.119569i | \(-0.0381512\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −15.3824 | − | 10.7709i | −1.10725 | − | 0.775303i | −0.130875 | − | 0.991399i | \(-0.541779\pi\) |
−0.976372 | + | 0.216096i | \(0.930668\pi\) | |||||||
\(194\) | −19.3880 | − | 7.05665i | −1.39198 | − | 0.506638i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −4.23588 | + | 24.0229i | −0.302563 | + | 1.71592i | ||||
\(197\) | 1.29693 | + | 4.84019i | 0.0924021 | + | 0.344849i | 0.996613 | − | 0.0822373i | \(-0.0262066\pi\) |
−0.904211 | + | 0.427087i | \(0.859540\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.4356 | + | 8.33443i | −1.02332 | + | 0.590812i | −0.915063 | − | 0.403312i | \(-0.867859\pi\) |
−0.108253 | + | 0.994123i | \(0.534526\pi\) | |||||||
\(200\) | −34.2020 | − | 31.7782i | −2.41844 | − | 2.24706i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −15.7867 | − | 1.38116i | −1.11075 | − | 0.0971779i | ||||
\(203\) | 8.84085 | + | 0.773474i | 0.620506 | + | 0.0542872i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −17.0501 | + | 3.33023i | −1.19083 | + | 0.232594i | ||||
\(206\) | −10.5599 | + | 6.09673i | −0.735740 | + | 0.424779i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −10.4905 | − | 39.1510i | −0.727384 | − | 2.71463i | ||||
\(209\) | −0.188505 | + | 1.06906i | −0.0130391 | + | 0.0739486i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 9.81899 | + | 3.57382i | 0.675967 | + | 0.246032i | 0.657115 | − | 0.753790i | \(-0.271777\pi\) |
0.0188522 | + | 0.999822i | \(0.493999\pi\) | |||||||
\(212\) | 1.72411 | + | 1.20724i | 0.118413 | + | 0.0829134i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −1.43170 | + | 1.70623i | −0.0978690 | + | 0.116636i | ||||
\(215\) | −1.56043 | − | 2.14367i | −0.106421 | − | 0.146197i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −5.85464 | − | 5.85464i | −0.397439 | − | 0.397439i | ||||
\(218\) | −2.00934 | − | 22.9668i | −0.136089 | − | 1.55551i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 5.78008 | − | 0.106130i | 0.389693 | − | 0.00715525i | ||||
\(221\) | −3.29851 | + | 9.06258i | −0.221882 | + | 0.609615i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −13.4550 | − | 19.2158i | −0.901015 | − | 1.28678i | −0.957516 | − | 0.288381i | \(-0.906883\pi\) |
0.0565006 | − | 0.998403i | \(-0.482006\pi\) | |||||||
\(224\) | −16.6904 | + | 28.9087i | −1.11518 | + | 1.93154i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.97101 | + | 5.14593i | 0.197628 | + | 0.342302i | ||||
\(227\) | 8.45994 | − | 18.1424i | 0.561506 | − | 1.20415i | −0.396667 | − | 0.917963i | \(-0.629833\pi\) |
0.958173 | − | 0.286191i | \(-0.0923891\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 14.1827 | + | 16.9023i | 0.937218 | + | 1.11693i | 0.992955 | + | 0.118488i | \(0.0378047\pi\) |
−0.0557370 | + | 0.998445i | \(0.517751\pi\) | |||||||
\(230\) | 1.26472 | + | 2.10053i | 0.0833929 | + | 0.138505i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −47.4542 | − | 22.1282i | −3.11552 | − | 1.45279i | ||||
\(233\) | −4.83296 | + | 18.0369i | −0.316618 | + | 1.18163i | 0.605856 | + | 0.795574i | \(0.292831\pi\) |
−0.922474 | + | 0.386059i | \(0.873836\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 26.9343 | − | 2.85558i | 1.75700 | − | 0.186277i | ||||
\(236\) | 18.9592 | + | 3.34302i | 1.23414 | + | 0.217612i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 13.5718 | − | 6.32863i | 0.879729 | − | 0.410224i | ||||
\(239\) | 3.38846 | + | 19.2169i | 0.219181 | + | 1.24304i | 0.873502 | + | 0.486821i | \(0.161844\pi\) |
−0.654320 | + | 0.756218i | \(0.727045\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −3.76991 | − | 3.16333i | −0.242841 | − | 0.203768i | 0.513241 | − | 0.858244i | \(-0.328445\pi\) |
−0.756082 | + | 0.654476i | \(0.772889\pi\) | |||||||
\(242\) | 20.7592 | − | 20.7592i | 1.33445 | − | 1.33445i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 49.9098i | 3.19515i | ||||||||
\(245\) | −6.60154 | − | 7.58032i | −0.421757 | − | 0.484289i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −3.62990 | + | 5.18403i | −0.230965 | + | 0.329852i | ||||
\(248\) | 20.6449 | + | 44.2731i | 1.31095 | + | 2.81134i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 30.1598 | − | 4.32230i | 1.90747 | − | 0.273366i | ||||
\(251\) | 18.1080 | + | 10.4546i | 1.14297 | + | 0.659892i | 0.947163 | − | 0.320752i | \(-0.103935\pi\) |
0.195803 | + | 0.980643i | \(0.437269\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −0.185175 | − | 0.0496176i | −0.0116419 | − | 0.00311943i | ||||
\(254\) | −9.14093 | + | 3.32703i | −0.573553 | + | 0.208756i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 29.5507 | − | 24.7960i | 1.84692 | − | 1.54975i | ||||
\(257\) | 1.27235 | − | 14.5430i | 0.0793667 | − | 0.907166i | −0.847259 | − | 0.531180i | \(-0.821749\pi\) |
0.926626 | − | 0.375986i | \(-0.122696\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −0.809647 | − | 2.22449i | −0.0503090 | − | 0.138223i | ||||
\(260\) | 30.8009 | + | 13.6800i | 1.91019 | + | 0.848399i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 8.09576 | − | 2.16925i | 0.500158 | − | 0.134017i | ||||
\(263\) | −25.0799 | + | 17.5612i | −1.54650 | + | 1.08287i | −0.583935 | + | 0.811801i | \(0.698488\pi\) |
−0.962561 | + | 0.271067i | \(0.912624\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −0.833501 | + | 0.239820i | −0.0512016 | + | 0.0147320i | ||||
\(266\) | 9.67721 | − | 1.70635i | 0.593348 | − | 0.104623i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 71.3898 | − | 6.24580i | 4.36083 | − | 0.381523i | ||||
\(269\) | −23.6912 | −1.44448 | −0.722239 | − | 0.691643i | \(-0.756887\pi\) | ||||
−0.722239 | + | 0.691643i | \(0.756887\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 20.1164 | 1.22198 | 0.610991 | − | 0.791638i | \(-0.290771\pi\) | ||||
0.610991 | + | 0.791638i | \(0.290771\pi\) | |||||||
\(272\) | −50.4755 | + | 4.41603i | −3.06052 | + | 0.267761i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −5.57454 | + | 0.982943i | −0.336771 | + | 0.0593817i | ||||
\(275\) | −1.46324 | + | 1.87988i | −0.0882368 | + | 0.113361i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −12.4565 | + | 8.72217i | −0.748441 | + | 0.524064i | −0.884445 | − | 0.466644i | \(-0.845463\pi\) |
0.136004 | + | 0.990708i | \(0.456574\pi\) | |||||||
\(278\) | 40.6320 | − | 10.8873i | 2.43694 | − | 0.652977i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −11.8695 | − | 30.8375i | −0.709336 | − | 1.84289i | ||||
\(281\) | 8.16607 | + | 22.4361i | 0.487147 | + | 1.33842i | 0.903253 | + | 0.429108i | \(0.141172\pi\) |
−0.416106 | + | 0.909316i | \(0.636606\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −0.0248657 | + | 0.284217i | −0.00147811 | + | 0.0168949i | −0.996898 | − | 0.0787051i | \(-0.974921\pi\) |
0.995420 | + | 0.0956001i | \(0.0304770\pi\) | |||||||
\(284\) | 66.3335 | − | 55.6605i | 3.93617 | − | 3.30284i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −3.38884 | + | 1.23344i | −0.200387 | + | 0.0729347i | ||||
\(287\) | −11.8765 | − | 3.18229i | −0.701046 | − | 0.187845i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −4.28164 | − | 2.47200i | −0.251861 | − | 0.145412i | ||||
\(290\) | 30.6986 | − | 15.0072i | 1.80268 | − | 0.881250i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 18.3751 | + | 39.4056i | 1.07532 | + | 2.30604i | ||||
\(293\) | 8.91694 | − | 12.7347i | 0.520933 | − | 0.743969i | −0.469354 | − | 0.883010i | \(-0.655513\pi\) |
0.990287 | + | 0.139041i | \(0.0444019\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −5.98250 | + | 5.21003i | −0.348315 | + | 0.303340i | ||||
\(296\) | 13.9667i | 0.811796i | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −30.3387 | + | 30.3387i | −1.75748 | + | 1.75748i | ||||
\(299\) | −0.856140 | − | 0.718387i | −0.0495119 | − | 0.0415454i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.325869 | − | 1.84809i | −0.0187828 | − | 0.106522i | ||||
\(302\) | −2.65345 | + | 1.23733i | −0.152689 | + | 0.0712001i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −32.7435 | − | 5.77355i | −1.87797 | − | 0.331136i | ||||
\(305\) | −15.9949 | − | 12.9285i | −0.915868 | − | 0.740283i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 2.72426 | − | 10.1671i | 0.155482 | − | 0.580267i | −0.843582 | − | 0.537001i | \(-0.819557\pi\) |
0.999064 | − | 0.0432656i | \(-0.0137762\pi\) | |||||||
\(308\) | 3.70826 | + | 1.72919i | 0.211298 | + | 0.0985297i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −30.9398 | − | 7.68440i | −1.75726 | − | 0.436445i | ||||
\(311\) | −2.06659 | − | 2.46287i | −0.117186 | − | 0.139657i | 0.704262 | − | 0.709940i | \(-0.251278\pi\) |
−0.821448 | + | 0.570283i | \(0.806833\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 10.2775 | − | 22.0403i | 0.580921 | − | 1.24579i | −0.367868 | − | 0.929878i | \(-0.619912\pi\) |
0.948789 | − | 0.315911i | \(-0.102310\pi\) | |||||||
\(314\) | −23.4568 | − | 40.6283i | −1.32374 | − | 2.29279i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −12.0586 | + | 20.8860i | −0.678347 | + | 1.17493i | ||||
\(317\) | −11.9128 | − | 17.0133i | −0.669092 | − | 0.955562i | −0.999929 | − | 0.0118742i | \(-0.996220\pi\) |
0.330838 | − | 0.943688i | \(-0.392669\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −0.913782 | + | 2.51060i | −0.0511620 | + | 0.140566i | ||||
\(320\) | 1.16148 | + | 63.2573i | 0.0649289 | + | 3.53619i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0.151246 | + | 1.72874i | 0.00842858 | + | 0.0963391i | ||||
\(323\) | 5.59403 | + | 5.59403i | 0.311260 | + | 0.311260i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −12.3627 | + | 6.32735i | −0.685759 | + | 0.350978i | ||||
\(326\) | 6.12650 | − | 7.30128i | 0.339315 | − | 0.404380i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 59.4234 | + | 41.6087i | 3.28111 | + | 2.29746i | ||||
\(329\) | 18.0138 | + | 6.55649i | 0.993134 | + | 0.361471i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.03458 | − | 5.86738i | 0.0568655 | − | 0.322500i | −0.943084 | − | 0.332555i | \(-0.892089\pi\) |
0.999949 | + | 0.0100545i | \(0.00320050\pi\) | |||||||
\(332\) | −4.09143 | − | 15.2694i | −0.224546 | − | 0.838018i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 15.5485 | − | 8.97692i | 0.850775 | − | 0.491195i | ||||
\(335\) | −16.4910 | + | 24.4967i | −0.900998 | + | 1.33840i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −11.1098 | − | 0.971978i | −0.605187 | − | 0.0529470i | −0.219556 | − | 0.975600i | \(-0.570461\pi\) |
−0.385631 | + | 0.922653i | \(0.626016\pi\) | |||||||
\(338\) | 14.3479 | + | 1.25528i | 0.780421 | + | 0.0682780i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 23.5273 | − | 34.9490i | 1.27595 | − | 1.89537i | ||||
\(341\) | 2.15867 | − | 1.24631i | 0.116899 | − | 0.0674915i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.70859 | − | 17.5727i | −0.254240 | − | 0.948837i | ||||
\(344\) | −1.92261 | + | 10.9037i | −0.103660 | + | 0.587887i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 27.3797 | + | 9.96540i | 1.47194 | + | 0.535743i | ||||
\(347\) | 19.4431 | + | 13.6142i | 1.04376 | + | 0.730851i | 0.963984 | − | 0.265962i | \(-0.0856896\pi\) |
0.0797793 | + | 0.996813i | \(0.474578\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.82633 | + | 5.75179i | −0.258347 | + | 0.307886i | −0.879591 | − | 0.475731i | \(-0.842183\pi\) |
0.621243 | + | 0.783618i | \(0.286628\pi\) | |||||||
\(350\) | 20.5207 | + | 6.62649i | 1.09688 | + | 0.354201i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −7.10598 | − | 7.10598i | −0.378750 | − | 0.378750i | ||||
\(353\) | −0.451688 | − | 5.16281i | −0.0240409 | − | 0.274789i | −0.998695 | − | 0.0510716i | \(-0.983736\pi\) |
0.974654 | − | 0.223717i | \(-0.0718192\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.655066 | + | 35.6765i | 0.0347673 | + | 1.89351i | ||||
\(356\) | −12.9961 | + | 35.7066i | −0.688793 | + | 1.89244i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 10.3573 | + | 14.7917i | 0.547398 | + | 0.781765i | ||||
\(359\) | −6.82697 | + | 11.8247i | −0.360314 | + | 0.624082i | −0.988012 | − | 0.154375i | \(-0.950664\pi\) |
0.627699 | + | 0.778457i | \(0.283997\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −6.90435 | − | 11.9587i | −0.363387 | − | 0.629404i | ||||
\(362\) | −10.0634 | + | 21.5810i | −0.528921 | + | 1.13427i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 15.3325 | + | 18.2725i | 0.803641 | + | 0.957742i | ||||
\(365\) | −17.3884 | − | 4.31869i | −0.910152 | − | 0.226051i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 19.5461 | + | 9.11448i | 1.02030 | + | 0.475772i | 0.859457 | − | 0.511208i | \(-0.170802\pi\) |
0.160840 | + | 0.986981i | \(0.448580\pi\) | |||||||
\(368\) | 1.51970 | − | 5.67159i | 0.0792197 | − | 0.295652i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.08869 | − | 5.72968i | −0.368523 | − | 0.297872i | ||||
\(371\) | −0.604528 | − | 0.106595i | −0.0313855 | − | 0.00553411i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −11.9942 | + | 5.59299i | −0.621037 | + | 0.289594i | −0.707557 | − | 0.706656i | \(-0.750203\pi\) |
0.0865206 | + | 0.996250i | \(0.472425\pi\) | |||||||
\(374\) | 0.782840 | + | 4.43971i | 0.0404797 | + | 0.229572i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −86.6408 | − | 72.7003i | −4.46816 | − | 3.74923i | ||||
\(377\) | −11.0135 | + | 11.0135i | −0.567226 | + | 0.567226i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − | 27.4089i | − | 1.40790i | −0.710249 | − | 0.703951i | \(-0.751417\pi\) | ||
0.710249 | − | 0.703951i | \(-0.248583\pi\) | |||||||
\(380\) | 20.8483 | − | 18.1563i | 1.06949 | − | 0.931398i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 31.5292 | − | 45.0283i | 1.61317 | − | 2.30385i | ||||
\(383\) | −15.2701 | − | 32.7469i | −0.780267 | − | 1.67329i | −0.738588 | − | 0.674157i | \(-0.764507\pi\) |
−0.0416793 | − | 0.999131i | \(-0.513271\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.51474 | + | 0.740488i | −0.0771984 | + | 0.0377388i | ||||
\(386\) | −44.3177 | − | 25.5869i | −2.25571 | − | 1.30234i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −39.6836 | − | 10.6332i | −2.01463 | − | 0.539819i | ||||
\(389\) | 17.3733 | − | 6.32335i | 0.880860 | − | 0.320607i | 0.138303 | − | 0.990390i | \(-0.455835\pi\) |
0.742557 | + | 0.669783i | \(0.233613\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −1.07024 | + | 0.898039i | −0.0541244 | + | 0.0454158i | ||||
\(392\) | −3.65832 | + | 41.8148i | −0.184773 | + | 2.11197i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 4.67045 | + | 12.8320i | 0.235294 | + | 0.646464i | ||||
\(395\) | −3.56989 | − | 9.27475i | −0.179620 | − | 0.466663i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −29.1350 | + | 7.80671i | −1.46224 | + | 0.391807i | −0.900265 | − | 0.435343i | \(-0.856627\pi\) |
−0.561980 | + | 0.827151i | \(0.689960\pi\) | |||||||
\(398\) | −37.2099 | + | 26.0546i | −1.86516 | + | 1.30600i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −57.5772 | − | 44.8165i | −2.87886 | − | 2.24082i | ||||
\(401\) | −34.2820 | + | 6.04485i | −1.71196 | + | 0.301865i | −0.941848 | − | 0.336040i | \(-0.890912\pi\) |
−0.770115 | + | 0.637905i | \(0.779801\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 14.4761 | − | 1.26649i | 0.721106 | − | 0.0630886i | ||||
\(404\) | −31.5550 | −1.56992 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 24.1845 | 1.20026 | ||||||||
\(407\) | 0.709953 | − | 0.0621128i | 0.0351911 | − | 0.00307882i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −21.8207 | + | 3.84758i | −1.07897 | + | 0.190251i | −0.684758 | − | 0.728771i | \(-0.740092\pi\) |
−0.394208 | + | 0.919021i | \(0.628981\pi\) | |||||||
\(410\) | −45.4960 | + | 13.0904i | −2.24689 | + | 0.646488i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −19.8890 | + | 13.9264i | −0.979859 | + | 0.686105i | ||||
\(413\) | −5.42346 | + | 1.45321i | −0.266871 | + | 0.0715079i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 5.95333 | + | 2.64413i | 0.292238 | + | 0.129795i | ||||
\(416\) | −20.0374 | − | 55.0524i | −0.982415 | − | 2.69916i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.257831 | + | 2.94703i | −0.0126109 | + | 0.144144i | ||||
\(419\) | 3.82900 | − | 3.21291i | 0.187059 | − | 0.156961i | −0.544449 | − | 0.838794i | \(-0.683261\pi\) |
0.731508 | + | 0.681833i | \(0.238817\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12.3825 | − | 4.50685i | 0.603485 | − | 0.219651i | −0.0221653 | − | 0.999754i | \(-0.507056\pi\) |
0.625650 | + | 0.780104i | \(0.284834\pi\) | |||||||
\(422\) | 27.5051 | + | 7.36996i | 1.33893 | + | 0.358764i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 3.13649 | + | 1.81086i | 0.152322 | + | 0.0879429i | ||||
\(425\) | 5.10590 | + | 16.5931i | 0.247672 | + | 0.804882i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −6.15173 | − | 13.1924i | −0.297703 | − | 0.638426i | ||||
\(428\) | −2.54388 | + | 3.63304i | −0.122963 | + | 0.175609i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −4.74535 | − | 5.44893i | −0.228841 | − | 0.262771i | ||||
\(431\) | 14.5168i | 0.699251i | 0.936890 | + | 0.349625i | \(0.113691\pi\) | ||||
−0.936890 | + | 0.349625i | \(0.886309\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −16.6348 | + | 16.6348i | −0.799416 | + | 0.799416i | −0.983003 | − | 0.183587i | \(-0.941229\pi\) |
0.183587 | + | 0.983003i | \(0.441229\pi\) | |||||||
\(434\) | −17.2845 | − | 14.5034i | −0.829683 | − | 0.696187i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −7.97163 | − | 45.2094i | −0.381772 | − | 2.16514i | ||||
\(437\) | −0.830884 | + | 0.387448i | −0.0397466 | + | 0.0185341i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −21.2894 | − | 3.75390i | −1.01609 | − | 0.179164i | −0.359287 | − | 0.933227i | \(-0.616980\pi\) |
−0.656801 | + | 0.754064i | \(0.728091\pi\) | |||||||
\(440\) | 9.89218 | − | 1.04877i | 0.471591 | − | 0.0499982i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −6.80221 | + | 25.3862i | −0.323548 | + | 1.20750i | ||||
\(443\) | −10.8788 | − | 5.07285i | −0.516866 | − | 0.241018i | 0.146640 | − | 0.989190i | \(-0.453154\pi\) |
−0.663505 | + | 0.748172i | \(0.730932\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −8.07667 | − | 13.4143i | −0.382871 | − | 0.635898i | ||||
\(446\) | −41.0912 | − | 48.9706i | −1.94572 | − | 2.31882i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −18.9243 | + | 40.5832i | −0.894087 | + | 1.91738i | ||||
\(449\) | −15.1373 | − | 26.2186i | −0.714374 | − | 1.23733i | −0.963200 | − | 0.268784i | \(-0.913378\pi\) |
0.248826 | − | 0.968548i | \(-0.419955\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 1.85078 | − | 3.20565i | 0.0871499 | − | 0.150948i | ||||
\(452\) | 6.78649 | + | 9.69212i | 0.319210 | + | 0.455879i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 18.6577 | − | 51.2617i | 0.875651 | − | 2.40583i | ||||
\(455\) | −9.82762 | + | 0.180448i | −0.460726 | + | 0.00845951i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 3.62673 | + | 41.4537i | 0.169651 | + | 1.93912i | 0.313642 | + | 0.949541i | \(0.398451\pi\) |
−0.143990 | + | 0.989579i | \(0.545993\pi\) | |||||||
\(458\) | 42.5171 | + | 42.5171i | 1.98670 | + | 1.98670i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 2.87329 | + | 3.94722i | 0.133968 | + | 0.184040i | ||||
\(461\) | 11.0916 | − | 13.2184i | 0.516586 | − | 0.615643i | −0.443184 | − | 0.896431i | \(-0.646151\pi\) |
0.959770 | + | 0.280788i | \(0.0905957\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −13.5021 | − | 9.45428i | −0.627496 | − | 0.439378i | 0.216088 | − | 0.976374i | \(-0.430670\pi\) |
−0.843585 | + | 0.536996i | \(0.819559\pi\) | |||||||
\(464\) | −76.8950 | − | 27.9875i | −3.56976 | − | 1.29929i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −8.83640 | + | 50.1137i | −0.409338 | + | 2.32147i | ||||
\(467\) | −1.03012 | − | 3.84448i | −0.0476685 | − | 0.177901i | 0.937987 | − | 0.346670i | \(-0.112688\pi\) |
−0.985656 | + | 0.168769i | \(0.946021\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −18.1003 | + | 10.4502i | −0.835795 | + | 0.482546i | ||||
\(470\) | 72.4420 | − | 14.1494i | 3.34150 | − | 0.652664i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 33.0009 | + | 2.88720i | 1.51899 | + | 0.132894i | ||||
\(473\) | 0.562805 | + | 0.0492391i | 0.0258778 | + | 0.00226402i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0.418210 | + | 11.3845i | 0.0191888 | + | 0.522359i | ||||
\(476\) | 25.8234 | − | 14.9091i | 1.18361 | − | 0.683359i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 13.7631 | + | 51.3646i | 0.629510 | + | 2.34936i | ||||
\(479\) | 0.246236 | − | 1.39648i | 0.0112508 | − | 0.0638066i | −0.978665 | − | 0.205460i | \(-0.934131\pi\) |
0.989916 | + | 0.141654i | \(0.0452420\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.90411 | + | 1.42098i | 0.178012 | + | 0.0647911i | ||||
\(482\) | −10.9857 | − | 7.69230i | −0.500387 | − | 0.350375i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 37.5762 | − | 44.7816i | 1.70801 | − | 2.03553i | ||||
\(485\) | 13.6872 | − | 9.96332i | 0.621505 | − | 0.452411i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −5.92999 | − | 5.92999i | −0.268714 | − | 0.268714i | 0.559868 | − | 0.828582i | \(-0.310852\pi\) |
−0.828582 | + | 0.559868i | \(0.810852\pi\) | |||||||
\(488\) | 7.48504 | + | 85.5544i | 0.338832 | + | 3.87286i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −19.7220 | − | 19.0109i | −0.890951 | − | 0.858823i | ||||
\(491\) | 9.16760 | − | 25.1878i | 0.413728 | − | 1.13671i | −0.541464 | − | 0.840724i | \(-0.682130\pi\) |
0.955193 | − | 0.295985i | \(-0.0956479\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 11.1679 | + | 15.9494i | 0.502976 | + | 0.718324i | ||||
\(494\) | −8.62305 | + | 14.9356i | −0.387969 | + | 0.671983i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 38.1722 | + | 66.1162i | 1.71398 | + | 2.96871i | ||||
\(497\) | −10.6731 | + | 22.8886i | −0.478754 | + | 1.02669i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 7.19594 | + | 8.57579i | 0.322134 | + | 0.383905i | 0.902672 | − | 0.430328i | \(-0.141602\pi\) |
−0.580538 | + | 0.814233i | \(0.697158\pi\) | |||||||
\(500\) | 59.0763 | − | 13.8081i | 2.64197 | − | 0.617515i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 51.6420 | + | 24.0811i | 2.30490 | + | 1.07479i | ||||
\(503\) | −3.44372 | + | 12.8521i | −0.153548 | + | 0.573049i | 0.845677 | + | 0.533694i | \(0.179197\pi\) |
−0.999225 | + | 0.0393543i | \(0.987470\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 8.17391 | − | 10.1127i | 0.363734 | − | 0.450007i | ||||
\(506\) | −0.514493 | − | 0.0907189i | −0.0228720 | − | 0.00403295i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −17.5550 | + | 8.18603i | −0.778877 | + | 0.363197i | ||||
\(509\) | 1.12261 | + | 6.36664i | 0.0497588 | + | 0.282196i | 0.999527 | − | 0.0307584i | \(-0.00979226\pi\) |
−0.949768 | + | 0.312955i | \(0.898681\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −9.71403 | − | 8.15104i | −0.429723 | − | 0.360581i | ||||
\(512\) | 24.9482 | − | 24.9482i | 1.10257 | − | 1.10257i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | − | 39.7830i | − | 1.75475i | ||||||
\(515\) | 0.688883 | − | 9.98142i | 0.0303558 | − | 0.439834i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.31019 | + | 4.72744i | −0.145582 | + | 0.207912i | ||||
\(518\) | −2.72634 | − | 5.84666i | −0.119789 | − | 0.256887i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 54.8499 | + | 18.8308i | 2.40533 | + | 0.825784i | ||||
\(521\) | 6.34977 | + | 3.66604i | 0.278188 | + | 0.160612i | 0.632603 | − | 0.774476i | \(-0.281987\pi\) |
−0.354415 | + | 0.935088i | \(0.615320\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 12.5860 | + | 3.37240i | 0.550346 | + | 0.147465i | 0.523268 | − | 0.852168i | \(-0.324713\pi\) |
0.0270787 | + | 0.999633i | \(0.491380\pi\) | |||||||
\(524\) | 15.6827 | − | 5.70803i | 0.685101 | − | 0.249356i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −63.9152 | + | 53.6312i | −2.78683 | + | 2.33843i | ||||
\(527\) | 1.58322 | − | 18.0963i | 0.0689660 | − | 0.788285i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 7.81109 | + | 21.4608i | 0.339613 | + | 0.933078i | ||||
\(530\) | −2.20580 | + | 0.849021i | −0.0958139 | + | 0.0368791i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 18.9001 | − | 5.06425i | 0.819421 | − | 0.219563i | ||||
\(533\) | 17.6767 | − | 12.3773i | 0.765662 | − | 0.536122i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −0.505347 | − | 1.75635i | −0.0218480 | − | 0.0759335i | ||||
\(536\) | 121.438 | − | 21.4128i | 5.24534 | − | 0.924894i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −64.3161 | + | 5.62693i | −2.77286 | + | 0.242594i | ||||
\(539\) | 2.14180 | 0.0922537 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −19.4815 | −0.837576 | −0.418788 | − | 0.908084i | \(-0.637545\pi\) | ||||
−0.418788 | + | 0.908084i | \(0.637545\pi\) | |||||||
\(542\) | 54.6112 | − | 4.77786i | 2.34575 | − | 0.205227i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −72.1238 | + | 12.7174i | −3.09228 | + | 0.545253i | ||||
\(545\) | 16.5535 | + | 9.15618i | 0.709075 | + | 0.392207i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.7626 | − | 8.23625i | 0.502932 | − | 0.352157i | −0.294415 | − | 0.955678i | \(-0.595125\pi\) |
0.797347 | + | 0.603521i | \(0.206236\pi\) | |||||||
\(548\) | −10.8874 | + | 2.91726i | −0.465085 | + | 0.124619i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −3.52587 | + | 5.45096i | −0.150344 | + | 0.232430i | ||||
\(551\) | 4.36986 | + | 12.0061i | 0.186162 | + | 0.511477i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.613034 | − | 7.00702i | 0.0260689 | − | 0.297969i | ||||
\(554\) | −31.7450 | + | 26.6372i | −1.34871 | + | 1.13171i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 78.7101 | − | 28.6481i | 3.33805 | − | 1.21495i | ||||
\(557\) | −22.3886 | − | 5.99902i | −0.948637 | − | 0.254187i | −0.248853 | − | 0.968541i | \(-0.580054\pi\) |
−0.699784 | + | 0.714355i | \(0.746720\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 2.85230 | + | 1.64678i | 0.120640 | + | 0.0696513i | ||||
\(560\) | −22.6798 | − | 46.3938i | −0.958397 | − | 1.96049i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 27.4978 | + | 58.9691i | 1.15992 | + | 2.48746i | ||||
\(563\) | 17.2788 | − | 24.6767i | 0.728214 | − | 1.04000i | −0.268832 | − | 0.963187i | \(-0.586638\pi\) |
0.997046 | − | 0.0768099i | \(-0.0244735\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −4.86406 | − | 0.335700i | −0.204632 | − | 0.0141230i | ||||
\(566\) | 0.777487i | 0.0326802i | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 105.360 | − | 105.360i | 4.42082 | − | 4.42082i | ||||
\(569\) | −14.2448 | − | 11.9528i | −0.597173 | − | 0.501088i | 0.293362 | − | 0.956001i | \(-0.405226\pi\) |
−0.890536 | + | 0.454913i | \(0.849670\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 6.82003 | + | 38.6783i | 0.285409 | + | 1.61864i | 0.703819 | + | 0.710379i | \(0.251476\pi\) |
−0.418410 | + | 0.908258i | \(0.637412\pi\) | |||||||
\(572\) | −6.50822 | + | 3.03483i | −0.272122 | + | 0.126893i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −32.9977 | − | 5.81838i | −1.37730 | − | 0.242854i | ||||
\(575\) | −2.00928 | − | 0.101652i | −0.0837929 | − | 0.00423918i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.3255 | − | 42.2673i | 0.471486 | − | 1.75961i | −0.162950 | − | 0.986634i | \(-0.552101\pi\) |
0.634436 | − | 0.772975i | \(-0.281232\pi\) | |||||||
\(578\) | −12.2108 | − | 5.69397i | −0.507901 | − | 0.236838i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 58.2908 | − | 35.0966i | 2.42039 | − | 1.45731i | ||||
\(581\) | 2.96353 | + | 3.53180i | 0.122948 | + | 0.146524i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.0781006 | − | 0.167487i | 0.00323460 | − | 0.00693661i | ||||
\(584\) | 37.4080 | + | 64.7925i | 1.54795 | + | 2.68113i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 21.1828 | − | 36.6896i | 0.875051 | − | 1.51563i | ||||
\(587\) | 11.6046 | + | 16.5731i | 0.478974 | + | 0.684046i | 0.983819 | − | 0.179164i | \(-0.0573394\pi\) |
−0.504845 | + | 0.863210i | \(0.668450\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 4.07693 | − | 11.2013i | 0.167987 | − | 0.461540i | ||||
\(590\) | −15.0037 | + | 15.5649i | −0.617691 | + | 0.640798i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 1.90240 | + | 21.7446i | 0.0781883 | + | 0.893696i | ||||
\(593\) | 2.27116 | + | 2.27116i | 0.0932652 | + | 0.0932652i | 0.752200 | − | 0.658935i | \(-0.228993\pi\) |
−0.658935 | + | 0.752200i | \(0.728993\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −1.91117 | + | 12.1378i | −0.0783504 | + | 0.497602i | ||||
\(596\) | −54.9162 | + | 65.4466i | −2.24946 | + | 2.68080i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −2.49484 | − | 1.74691i | −0.102022 | − | 0.0714364i | ||||
\(599\) | −11.3910 | − | 4.14598i | −0.465423 | − | 0.169400i | 0.0986548 | − | 0.995122i | \(-0.468546\pi\) |
−0.564078 | + | 0.825722i | \(0.690768\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 2.78962 | − | 15.8207i | 0.113791 | − | 0.645340i | −0.873551 | − | 0.486733i | \(-0.838189\pi\) |
0.987342 | − | 0.158607i | \(-0.0507003\pi\) | |||||||
\(602\) | −1.32360 | − | 4.93974i | −0.0539459 | − | 0.201329i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −5.04879 | + | 2.91492i | −0.205432 | + | 0.118606i | ||||
\(605\) | 4.61785 | + | 23.6424i | 0.187742 | + | 0.961200i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −12.6491 | − | 1.10665i | −0.513412 | − | 0.0449177i | −0.172494 | − | 0.985011i | \(-0.555182\pi\) |
−0.340918 | + | 0.940093i | \(0.610738\pi\) | |||||||
\(608\) | −47.8750 | − | 4.18852i | −1.94159 | − | 0.169867i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −46.4932 | − | 31.2988i | −1.88245 | − | 1.26725i | ||||
\(611\) | −29.1369 | + | 16.8222i | −1.17875 | + | 0.680552i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.15725 | + | 11.7830i | 0.127520 | + | 0.475912i | 0.999917 | − | 0.0128866i | \(-0.00410204\pi\) |
−0.872397 | + | 0.488798i | \(0.837435\pi\) | |||||||
\(614\) | 4.98094 | − | 28.2483i | 0.201014 | − | 1.14001i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 6.61595 | + | 2.40801i | 0.266564 | + | 0.0970215i | ||||
\(617\) | −7.63591 | − | 5.34672i | −0.307410 | − | 0.215251i | 0.409684 | − | 0.912228i | \(-0.365639\pi\) |
−0.717094 | + | 0.696977i | \(0.754528\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.1944 | − | 12.1492i | 0.409748 | − | 0.488319i | −0.521218 | − | 0.853423i | \(-0.674522\pi\) |
0.930967 | + | 0.365104i | \(0.118967\pi\) | |||||||
\(620\) | −62.7074 | − | 9.87365i | −2.51839 | − | 0.396535i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −6.19528 | − | 6.19528i | −0.248408 | − | 0.248408i | ||||
\(623\) | −0.965877 | − | 11.0400i | −0.0386971 | − | 0.442309i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −10.8778 | + | 22.5094i | −0.435111 | + | 0.900377i | ||||
\(626\) | 22.6663 | − | 62.2751i | 0.905927 | − | 2.48901i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −53.5809 | − | 76.5215i | −2.13811 | − | 3.05354i | ||||
\(629\) | 2.59683 | − | 4.49784i | 0.103542 | − | 0.179341i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −12.2239 | − | 21.1724i | −0.486626 | − | 0.842861i | 0.513256 | − | 0.858236i | \(-0.328439\pi\) |
−0.999882 | + | 0.0153745i | \(0.995106\pi\) | |||||||
\(632\) | −17.5382 | + | 37.6109i | −0.697634 | + | 1.49608i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −36.3814 | − | 43.3577i | −1.44489 | − | 1.72195i | ||||
\(635\) | 1.92396 | − | 7.74647i | 0.0763500 | − | 0.307409i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 11.3163 | + | 5.27689i | 0.448369 | + | 0.209078i | ||||
\(638\) | −1.88441 | + | 7.03271i | −0.0746045 | + | 0.278428i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 8.23251 | + | 77.6504i | 0.325419 | + | 3.06940i | ||||
\(641\) | 5.87001 | + | 1.03504i | 0.231852 | + | 0.0408817i | 0.288367 | − | 0.957520i | \(-0.406888\pi\) |
−0.0565151 | + | 0.998402i | \(0.517999\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −29.1651 | + | 13.5999i | −1.15016 | + | 0.536328i | −0.901720 | − | 0.432320i | \(-0.857695\pi\) |
−0.248438 | + | 0.968648i | \(0.579917\pi\) | |||||||
\(644\) | 0.600036 | + | 3.40297i | 0.0236447 | + | 0.134096i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 16.5151 | + | 13.8578i | 0.649779 | + | 0.545229i | ||||
\(647\) | 5.43613 | − | 5.43613i | 0.213717 | − | 0.213717i | −0.592128 | − | 0.805844i | \(-0.701712\pi\) |
0.805844 | + | 0.592128i | \(0.201712\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | − | 1.69034i | − | 0.0663516i | ||||||
\(650\) | −32.0590 | + | 20.1136i | −1.25746 | + | 0.788919i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 10.8857 | − | 15.5464i | 0.426317 | − | 0.608844i | ||||
\(653\) | 6.80729 | + | 14.5983i | 0.266390 | + | 0.571275i | 0.993314 | − | 0.115443i | \(-0.0368287\pi\) |
−0.726924 | + | 0.686717i | \(0.759051\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −2.23310 | + | 6.50454i | −0.0872545 | + | 0.254153i | ||||
\(656\) | 98.1831 | + | 56.6861i | 3.83341 | + | 2.21322i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 50.4605 | + | 13.5209i | 1.96716 | + | 0.527098i | ||||
\(659\) | 31.0994 | − | 11.3193i | 1.21146 | − | 0.440936i | 0.344250 | − | 0.938878i | \(-0.388133\pi\) |
0.867210 | + | 0.497942i | \(0.165911\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.7885 | − | 19.1218i | 0.886369 | − | 0.743752i | −0.0811098 | − | 0.996705i | \(-0.525846\pi\) |
0.967478 | + | 0.252954i | \(0.0814020\pi\) | |||||||
\(662\) | 1.41507 | − | 16.1743i | 0.0549981 | − | 0.628631i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.30342 | − | 25.5609i | −0.361043 | − | 0.991957i | ||||
\(665\) | −3.27284 | + | 7.36887i | −0.126915 | + | 0.285752i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −2.17945 | + | 0.583983i | −0.0843888 | + | 0.0226119i | ||||
\(668\) | 29.2848 | − | 20.5054i | 1.13306 | − | 0.793379i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −38.9509 | + | 70.4196i | −1.50480 | + | 2.72055i | ||||
\(671\) | 4.31561 | − | 0.760958i | 0.166602 | − | 0.0293764i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 34.6064 | − | 3.02767i | 1.33398 | − | 0.116708i | 0.602252 | − | 0.798306i | \(-0.294270\pi\) |
0.731727 | + | 0.681598i | \(0.238715\pi\) | |||||||
\(674\) | −30.3912 | −1.17063 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 28.6790 | 1.10304 | ||||||||
\(677\) | 17.3173 | − | 1.51507i | 0.665560 | − | 0.0582289i | 0.250631 | − | 0.968083i | \(-0.419362\pi\) |
0.414929 | + | 0.909854i | \(0.363806\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 11.8000 | − | 2.08066i | 0.452843 | − | 0.0798485i | ||||
\(680\) | 35.0888 | − | 63.4373i | 1.34559 | − | 2.43271i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 5.56428 | − | 3.89615i | 0.213067 | − | 0.149191i | ||||
\(683\) | 10.9763 | − | 2.94108i | 0.419995 | − | 0.112537i | −0.0426308 | − | 0.999091i | \(-0.513574\pi\) |
0.462626 | + | 0.886554i | \(0.346907\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.88531 | − | 4.24483i | 0.0720341 | − | 0.162187i | ||||
\(686\) | −16.9564 | − | 46.5874i | −0.647400 | − | 1.77872i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.50810 | + | 17.2377i | −0.0574959 | + | 0.657181i | ||||
\(689\) | 0.825299 | − | 0.692508i | 0.0314414 | − | 0.0263824i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −22.0909 | + | 8.04044i | −0.840378 | + | 0.305873i | −0.726111 | − | 0.687577i | \(-0.758674\pi\) |
−0.114267 | + | 0.993450i | \(0.536452\pi\) | |||||||
\(692\) | 56.0412 | + | 15.0162i | 2.13037 | + | 0.570830i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 56.0171 | + | 32.3415i | 2.12638 | + | 1.22767i | ||||
\(695\) | −11.2078 | + | 32.6457i | −0.425134 | + | 1.23832i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −11.4004 | − | 24.4483i | −0.431822 | − | 0.926046i | ||||
\(698\) | −11.7362 | + | 16.7611i | −0.444223 | + | 0.634416i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 41.8558 | + | 9.58333i | 1.58200 | + | 0.362216i | ||||
\(701\) | − | 44.6039i | − | 1.68467i | −0.538956 | − | 0.842334i | \(-0.681181\pi\) | ||
0.538956 | − | 0.842334i | \(-0.318819\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.40988 | − | 2.40988i | 0.0908903 | − | 0.0908903i | ||||
\(704\) | −10.3268 | − | 8.66522i | −0.389206 | − | 0.326583i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −2.45245 | − | 13.9085i | −0.0922992 | − | 0.523455i | ||||
\(707\) | 8.34079 | − | 3.88937i | 0.313688 | − | 0.146275i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 36.4781 | + | 6.43207i | 1.36996 | + | 0.241562i | 0.809744 | − | 0.586783i | \(-0.199606\pi\) |
0.560219 | + | 0.828344i | \(0.310717\pi\) | |||||||
\(710\) | 10.2519 | + | 96.6978i | 0.384748 | + | 3.62900i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −16.9228 | + | 63.1566i | −0.634207 | + | 2.36689i | ||||
\(713\) | 1.90785 | + | 0.889647i | 0.0714497 | + | 0.0333175i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0.713275 | − | 2.87187i | 0.0266750 | − | 0.107402i | ||||
\(716\) | 23.1122 | + | 27.5441i | 0.863744 | + | 1.02937i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −15.7251 | + | 33.7227i | −0.586857 | + | 1.25852i | ||||
\(719\) | 19.2483 | + | 33.3390i | 0.717839 | + | 1.24333i | 0.961854 | + | 0.273562i | \(0.0882018\pi\) |
−0.244016 | + | 0.969771i | \(0.578465\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3.54064 | − | 6.13256i | 0.131860 | − | 0.228389i | ||||
\(722\) | −21.5840 | − | 30.8251i | −0.803273 | − | 1.14719i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −16.2169 | + | 44.5557i | −0.602698 | + | 1.65590i | ||||
\(725\) | −3.85183 | + | 27.7722i | −0.143053 | + | 1.03143i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −2.27381 | − | 25.9897i | −0.0843308 | − | 0.963906i | −0.914017 | − | 0.405676i | \(-0.867036\pi\) |
0.829686 | − | 0.558230i | \(-0.188519\pi\) | |||||||
\(728\) | 29.0230 | + | 29.0230i | 1.07566 | + | 1.07566i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −48.2312 | − | 7.59429i | −1.78512 | − | 0.281077i | ||||
\(731\) | 2.64649 | − | 3.15396i | 0.0978838 | − | 0.116653i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 39.9276 | + | 27.9576i | 1.47476 | + | 1.03264i | 0.987189 | + | 0.159555i | \(0.0510060\pi\) |
0.487571 | + | 0.873083i | \(0.337883\pi\) | |||||||
\(734\) | 55.2278 | + | 20.1013i | 2.03849 | + | 0.741951i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.47374 | − | 8.35802i | 0.0543230 | − | 0.308081i | ||||
\(737\) | −1.62852 | − | 6.07772i | −0.0599873 | − | 0.223876i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 11.7531 | − | 6.78566i | 0.432345 | − | 0.249614i | −0.268000 | − | 0.963419i | \(-0.586363\pi\) |
0.700345 | + | 0.713804i | \(0.253029\pi\) | |||||||
\(740\) | −15.0558 | − | 10.1355i | −0.553464 | − | 0.372587i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.66647 | − | 0.145797i | −0.0611780 | − | 0.00535238i | ||||
\(743\) | 1.23767 | + | 0.108282i | 0.0454055 | + | 0.00397247i | 0.109836 | − | 0.993950i | \(-0.464967\pi\) |
−0.0644303 | + | 0.997922i | \(0.520523\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −6.74882 | − | 34.5525i | −0.247257 | − | 1.26591i | ||||
\(746\) | −31.2331 | + | 18.0324i | −1.14352 | + | 0.660214i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.32338 | + | 8.67096i | 0.0849511 | + | 0.317042i | ||||
\(749\) | 0.224615 | − | 1.27386i | 0.00820726 | − | 0.0465457i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −8.15950 | − | 2.96982i | −0.297745 | − | 0.108370i | 0.188828 | − | 0.982010i | \(-0.439531\pi\) |
−0.486573 | + | 0.873640i | \(0.661753\pi\) | |||||||
\(752\) | −144.793 | − | 101.385i | −5.28005 | − | 3.69713i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −27.2833 | + | 32.5150i | −0.993601 | + | 1.18413i | ||||
\(755\) | 0.373658 | − | 2.37309i | 0.0135988 | − | 0.0863657i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 29.4262 | + | 29.4262i | 1.06951 | + | 1.06951i | 0.997396 | + | 0.0721170i | \(0.0229755\pi\) |
0.0721170 | + | 0.997396i | \(0.477025\pi\) | |||||||
\(758\) | −6.50993 | − | 74.4088i | −0.236451 | − | 2.70265i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 33.0147 | − | 34.2498i | 1.19757 | − | 1.24237i | ||||
\(761\) | −14.0169 | + | 38.5111i | −0.508112 | + | 1.39603i | 0.375071 | + | 0.926996i | \(0.377618\pi\) |
−0.883183 | + | 0.469029i | \(0.844604\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 7.67948 | + | 10.9674i | 0.278016 | + | 0.397048i | ||||
\(764\) | 54.7283 | − | 94.7922i | 1.98000 | − | 3.42946i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −49.2326 | − | 85.2733i | −1.77884 | − | 3.08105i | ||||
\(767\) | 4.16460 | − | 8.93101i | 0.150375 | − | 0.322480i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −3.94057 | − | 4.69619i | −0.142100 | − | 0.169349i | 0.690300 | − | 0.723523i | \(-0.257479\pi\) |
−0.832401 | + | 0.554174i | \(0.813034\pi\) | |||||||
\(770\) | −3.93629 | + | 2.37002i | −0.141854 | + | 0.0854096i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −92.3513 | − | 43.0641i | −3.32380 | − | 1.54991i | ||||
\(773\) | 2.46257 | − | 9.19044i | 0.0885726 | − | 0.330557i | −0.907394 | − | 0.420281i | \(-0.861932\pi\) |
0.995967 | + | 0.0897234i | \(0.0285983\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 19.4078 | − | 17.5386i | 0.697149 | − | 0.630007i | ||||
\(776\) | −69.6196 | − | 12.2758i | −2.49920 | − | 0.440676i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 45.6625 | − | 21.2928i | 1.63708 | − | 0.763382i | ||||
\(779\) | −3.07383 | − | 17.4326i | −0.110132 | − | 0.624587i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.82422 | − | 4.88710i | −0.208407 | − | 0.174874i | ||||
\(782\) | −2.69216 | + | 2.69216i | −0.0962714 | + | 0.0962714i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 65.5994i | 2.34283i | ||||||||
\(785\) | 38.4029 | + | 2.65043i | 1.37066 | + | 0.0945980i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 4.85971 | − | 6.94038i | 0.173230 | − | 0.247398i | −0.723143 | − | 0.690698i | \(-0.757303\pi\) |
0.896373 | + | 0.443300i | \(0.146192\pi\) | |||||||
\(788\) | 11.4915 | + | 24.6435i | 0.409367 | + | 0.877890i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −11.8943 | − | 24.3309i | −0.423179 | − | 0.865654i | ||||
\(791\) | −2.98847 | − | 1.72539i | −0.106258 | − | 0.0613479i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 24.6766 | + | 6.61207i | 0.876291 | + | 0.234802i | ||||
\(794\) | −77.2406 | + | 28.1133i | −2.74116 | + | 0.997702i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −69.2896 | + | 58.1409i | −2.45591 | + | 2.06075i | ||||
\(797\) | −2.46530 | + | 28.1786i | −0.0873256 | + | 0.998136i | 0.818506 | + | 0.574498i | \(0.194803\pi\) |
−0.905832 | + | 0.423638i | \(0.860753\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.3847 | + | 39.5216i | 0.508894 | + | 1.39818i | ||||
\(800\) | −88.5517 | − | 57.2783i | −3.13078 | − | 2.02510i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −91.6319 | + | 24.5527i | −3.23564 | + | 0.866986i | ||||
\(803\) | 3.12717 | − | 2.18967i | 0.110355 | − | 0.0772716i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1.24601 | − | 0.689198i | −0.0439160 | − | 0.0242910i | ||||
\(806\) | 38.9984 | − | 6.87647i | 1.37366 | − | 0.242213i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −54.0909 | + | 4.73234i | −1.90291 | + | 0.166483i | ||||
\(809\) | 2.28591 | 0.0803683 | 0.0401841 | − | 0.999192i | \(-0.487206\pi\) | ||||
0.0401841 | + | 0.999192i | \(0.487206\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 21.6606 | 0.760605 | 0.380303 | − | 0.924862i | \(-0.375820\pi\) | ||||
0.380303 | + | 0.924862i | \(0.375820\pi\) | |||||||
\(812\) | 47.9736 | − | 4.19715i | 1.68354 | − | 0.147291i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 1.91260 | − | 0.337243i | 0.0670367 | − | 0.0118204i | ||||
\(815\) | 2.16247 | + | 7.51572i | 0.0757480 | + | 0.263264i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 2.21311 | − | 1.54964i | 0.0774270 | − | 0.0542150i | ||||
\(818\) | −58.3243 | + | 15.6279i | −2.03926 | + | 0.546418i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −87.9763 | + | 33.8624i | −3.07227 | + | 1.18253i | ||||
\(821\) | −7.91413 | − | 21.7439i | −0.276205 | − | 0.758867i | −0.997784 | − | 0.0665351i | \(-0.978806\pi\) |
0.721579 | − | 0.692332i | \(-0.243417\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −0.569178 | + | 6.50574i | −0.0198403 | + | 0.226776i | 0.979801 | + | 0.199977i | \(0.0640868\pi\) |
−0.999641 | + | 0.0267986i | \(0.991469\pi\) | |||||||
\(824\) | −32.0047 | + | 26.8552i | −1.11494 | + | 0.935544i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −14.3783 | + | 5.23326i | −0.500284 | + | 0.182088i | ||||
\(827\) | −8.94494 | − | 2.39679i | −0.311046 | − | 0.0833445i | 0.0999193 | − | 0.994996i | \(-0.468142\pi\) |
−0.410965 | + | 0.911651i | \(0.634808\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.45210 | + | 1.41572i | 0.0851648 | + | 0.0491699i | 0.541978 | − | 0.840393i | \(-0.317676\pi\) |
−0.456813 | + | 0.889563i | \(0.651009\pi\) | |||||||
\(830\) | 16.7899 | + | 5.76422i | 0.582786 | + | 0.200079i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −33.2132 | − | 71.2260i | −1.15146 | − | 2.46932i | ||||
\(833\) | 8.95278 | − | 12.7859i | 0.310195 | − | 0.443005i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −1.01432 | + | 14.6968i | −0.0351020 | + | 0.508603i | ||||
\(836\) | 5.89061i | 0.203731i | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.63173 | − | 9.63173i | 0.332723 | − | 0.332723i | ||||
\(839\) | 32.4518 | + | 27.2303i | 1.12036 | + | 0.940095i | 0.998623 | − | 0.0524668i | \(-0.0167084\pi\) |
0.121739 | + | 0.992562i | \(0.461153\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.424617 | + | 2.40812i | 0.0146420 | + | 0.0830387i | ||||
\(842\) | 32.5451 | − | 15.1760i | 1.12158 | − | 0.523000i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 55.8394 | + | 9.84600i | 1.92207 | + | 0.338913i | ||||
\(845\) | −7.42892 | + | 9.19097i | −0.255563 | + | 0.316179i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −4.41271 | + | 16.4684i | −0.151622 | + | 0.565862i | ||||
\(848\) | 5.12983 | + | 2.39208i | 0.176159 | + | 0.0821443i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 17.8024 | + | 43.8335i | 0.610616 | + | 1.50348i | ||||
\(851\) | 0.386871 | + | 0.461054i | 0.0132618 | + | 0.0158047i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14.0780 | − | 30.1905i | 0.482023 | − | 1.03370i | −0.503474 | − | 0.864010i | \(-0.667945\pi\) |
0.985497 | − | 0.169691i | \(-0.0542771\pi\) | |||||||
\(854\) | −19.8339 | − | 34.3532i | −0.678701 | − | 1.17554i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.81582 | + | 6.60919i | −0.130422 | + | 0.225897i | ||||
\(857\) | 17.6306 | + | 25.1791i | 0.602249 | + | 0.860100i | 0.998309 | − | 0.0581240i | \(-0.0185119\pi\) |
−0.396061 | + | 0.918224i | \(0.629623\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 17.6716 | − | 48.5522i | 0.602946 | − | 1.65658i | −0.142326 | − | 0.989820i | \(-0.545458\pi\) |
0.745272 | − | 0.666760i | \(-0.232320\pi\) | |||||||
\(860\) | −10.3588 | − | 9.98522i | −0.353231 | − | 0.340493i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 3.44791 | + | 39.4098i | 0.117436 | + | 1.34230i | ||||
\(863\) | 31.9076 | + | 31.9076i | 1.08615 | + | 1.08615i | 0.995921 | + | 0.0902264i | \(0.0287591\pi\) |
0.0902264 | + | 0.995921i | \(0.471241\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −19.3291 | + | 14.0702i | −0.657209 | + | 0.478401i | ||||
\(866\) | −41.2086 | + | 49.1104i | −1.40032 | + | 1.66884i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −36.8034 | − | 25.7700i | −1.24919 | − | 0.874692i | ||||
\(869\) | 1.98983 | + | 0.724239i | 0.0675003 | + | 0.0245681i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.36968 | − | 36.1243i | 0.215829 | − | 1.22402i | ||||
\(872\) | −20.4449 | − | 76.3015i | −0.692353 | − | 2.58390i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −2.16363 | + | 1.24917i | −0.0731860 | + | 0.0422539i | ||||
\(875\) | −13.9134 | + | 10.9314i | −0.470360 | + | 0.369549i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 39.1615 | + | 3.42618i | 1.32239 | + | 0.115694i | 0.726385 | − | 0.687288i | \(-0.241199\pi\) |
0.596003 | + | 0.802982i | \(0.296755\pi\) | |||||||
\(878\) | −58.6873 | − | 5.13448i | −1.98060 | − | 0.173280i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 15.2582 | − | 2.98024i | 0.514353 | − | 0.100464i | ||||
\(881\) | 34.0163 | − | 19.6393i | 1.14604 | − | 0.661666i | 0.198120 | − | 0.980178i | \(-0.436516\pi\) |
0.947919 | + | 0.318512i | \(0.103183\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −4.64284 | − | 17.3273i | −0.156244 | − | 0.583111i | −0.998996 | − | 0.0448081i | \(-0.985732\pi\) |
0.842752 | − | 0.538303i | \(-0.180934\pi\) | |||||||
\(884\) | −9.08751 | + | 51.5378i | −0.305646 | + | 1.73340i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −30.7381 | − | 11.1878i | −1.03267 | − | 0.375860i | ||||
\(887\) | 14.2556 | + | 9.98188i | 0.478656 | + | 0.335159i | 0.787878 | − | 0.615831i | \(-0.211180\pi\) |
−0.309222 | + | 0.950990i | \(0.600069\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 3.63125 | − | 4.32756i | 0.121788 | − | 0.145142i | ||||
\(890\) | −25.1123 | − | 34.4983i | −0.841766 | − | 1.15639i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −90.0092 | − | 90.0092i | −3.01373 | − | 3.01373i | ||||
\(893\) | 2.40537 | + | 27.4935i | 0.0804927 | + | 0.920036i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −14.8142 | + | 0.272007i | −0.495183 | + | 0.00909219i | ||||
\(896\) | −18.9021 | + | 51.9330i | −0.631474 | + | 1.73496i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −47.3215 | − | 67.5821i | −1.57914 | − | 2.25524i | ||||
\(899\) | 14.6687 | − | 25.4069i | 0.489227 | − | 0.847367i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.673386 | − | 1.16634i | −0.0224337 | − | 0.0388564i | ||||
\(902\) | 4.26306 | − | 9.14216i | 0.141944 | − | 0.304401i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 13.0868 | + | 15.5963i | 0.435261 | + | 0.518724i | ||||
\(905\) | −10.0783 | − | 16.7387i | −0.335014 | − | 0.556415i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −17.8896 | − | 8.34207i | −0.594015 | − | 0.276994i | 0.102273 | − | 0.994756i | \(-0.467389\pi\) |
−0.696288 | + | 0.717763i | \(0.745166\pi\) | |||||||
\(908\) | 28.1141 | − | 104.923i | 0.932999 | − | 3.48200i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −26.6368 | + | 2.82404i | −0.883002 | + | 0.0936161i | ||||
\(911\) | −29.7171 | − | 5.23993i | −0.984571 | − | 0.173606i | −0.341890 | − | 0.939740i | \(-0.611067\pi\) |
−0.642681 | + | 0.766134i | \(0.722178\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −1.25794 | + | 0.586586i | −0.0416317 | + | 0.0194132i | ||||
\(914\) | 19.6914 | + | 111.676i | 0.651334 | + | 3.69390i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 91.7178 | + | 76.9604i | 3.03044 | + | 2.54284i | ||||
\(917\) | −3.44178 | + | 3.44178i | −0.113658 | + | 0.113658i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | − | 5.90514i | − | 0.194793i | −0.995246 | − | 0.0973964i | \(-0.968949\pi\) | ||
0.995246 | − | 0.0973964i | \(-0.0310515\pi\) | |||||||
\(920\) | 5.51731 | + | 6.33534i | 0.181900 | + | 0.208870i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 26.9715 | − | 38.5192i | 0.888258 | − | 1.26856i | ||||
\(923\) | −18.7320 | − | 40.1708i | −0.616570 | − | 1.32224i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 7.14820 | − | 2.19959i | 0.235031 | − | 0.0723222i | ||||
\(926\) | −38.9006 | − | 22.4592i | −1.27835 | − | 0.738057i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −114.248 | − | 30.6126i | −3.75036 | − | 1.00491i | ||||
\(929\) | 6.36097 | − | 2.31520i | 0.208697 | − | 0.0759593i | −0.235557 | − | 0.971861i | \(-0.575691\pi\) |
0.444253 | + | 0.895901i | \(0.353469\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.84617 | − | 6.58371i | 0.257148 | − | 0.215773i | ||||
\(932\) | −8.83124 | + | 100.942i | −0.289277 | + | 3.30645i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −3.70965 | − | 10.1922i | −0.121383 | − | 0.333498i | ||||
\(935\) | −3.38069 | − | 1.50151i | −0.110560 | − | 0.0491046i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 6.08835 | − | 1.63137i | 0.198898 | − | 0.0532945i | −0.157995 | − | 0.987440i | \(-0.550503\pi\) |
0.356892 | + | 0.934145i | \(0.383836\pi\) | |||||||
\(938\) | −46.6560 | + | 32.6689i | −1.52337 | + | 1.06668i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 141.244 | − | 40.6396i | 4.60687 | − | 1.32552i | ||||
\(941\) | −26.7793 | + | 4.72192i | −0.872981 | + | 0.153930i | −0.592151 | − | 0.805827i | \(-0.701721\pi\) |
−0.280831 | + | 0.959757i | \(0.590610\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 3.11417 | − | 0.272455i | 0.101411 | − | 0.00887234i | ||||
\(944\) | 51.7720 | 1.68504 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 1.53958 | 0.0500560 | ||||||||
\(947\) | −48.0728 | + | 4.20583i | −1.56216 | + | 0.136671i | −0.835174 | − | 0.549985i | \(-0.814633\pi\) |
−0.726982 | + | 0.686656i | \(0.759078\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 21.9174 | − | 3.86463i | 0.711469 | − | 0.125451i | ||||
\(950\) | 3.83930 | + | 30.8070i | 0.124563 | + | 0.999512i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 42.0300 | − | 29.4297i | 1.36220 | − | 0.953822i | ||||
\(953\) | 18.9362 | − | 5.07394i | 0.613404 | − | 0.164361i | 0.0612767 | − | 0.998121i | \(-0.480483\pi\) |
0.552128 | + | 0.833760i | \(0.313816\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 16.2021 | + | 42.0939i | 0.524287 | + | 1.36213i | ||||
\(956\) | 36.2153 | + | 99.5008i | 1.17129 | + | 3.21809i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0.336795 | − | 3.84959i | 0.0108814 | − | 0.124375i | ||||
\(959\) | 2.51823 | − | 2.11305i | 0.0813180 | − | 0.0682339i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.41043 | − | 1.24130i | 0.110014 | − | 0.0400418i | ||||
\(962\) | 10.9362 | + | 2.93036i | 0.352599 | + | 0.0944785i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −23.1268 | − | 13.3523i | −0.744865 | − | 0.430048i | ||||
\(965\) | 37.7235 | − | 18.4413i | 1.21436 | − | 0.593646i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −1.83617 | − | 3.93769i | −0.0590474 | − | 0.126628i | 0.874570 | − | 0.484900i | \(-0.161144\pi\) |
−0.933617 | + | 0.358272i | \(0.883366\pi\) | |||||||
\(968\) | 57.6964 | − | 82.3990i | 1.85443 | − | 2.64841i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 34.7912 | − | 30.2989i | 1.11708 | − | 0.972840i | ||||
\(971\) | 17.3753i | 0.557601i | 0.960349 | + | 0.278800i | \(0.0899367\pi\) | ||||
−0.960349 | + | 0.278800i | \(0.910063\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −17.2740 | + | 17.2740i | −0.553779 | + | 0.553779i | ||||
\(974\) | −17.5070 | − | 14.6901i | −0.560960 | − | 0.470701i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 23.3068 | + | 132.179i | 0.746031 | + | 4.23095i | ||||
\(977\) | −21.9259 | + | 10.2242i | −0.701470 | + | 0.327101i | −0.740424 | − | 0.672140i | \(-0.765375\pi\) |
0.0389538 | + | 0.999241i | \(0.487597\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 3.28563 | + | 0.579345i | 0.105009 | + | 0.0185159i | ||||
\(980\) | −42.4209 | − | 34.2882i | −1.35508 | − | 1.09530i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 18.9055 | − | 70.5563i | 0.603299 | − | 2.25154i | ||||
\(983\) | −22.0159 | − | 10.2662i | −0.702199 | − | 0.327441i | 0.0385180 | − | 0.999258i | \(-0.487736\pi\) |
−0.740717 | + | 0.671817i | \(0.765514\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −10.8744 | − | 2.70083i | −0.346488 | − | 0.0860557i | ||||
\(986\) | 34.1063 | + | 40.6463i | 1.08617 | + | 1.29444i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −14.5131 | + | 31.1234i | −0.461723 | + | 0.990168i | ||||
\(989\) | 0.238560 | + | 0.413197i | 0.00758575 | + | 0.0131389i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −18.0498 | + | 31.2632i | −0.573372 | + | 0.993110i | 0.422844 | + | 0.906202i | \(0.361032\pi\) |
−0.996216 | + | 0.0869073i | \(0.972302\pi\) | |||||||
\(992\) | 63.2936 | + | 90.3927i | 2.00957 | + | 2.86997i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −23.5387 | + | 64.6720i | −0.746602 | + | 2.05127i | ||||
\(995\) | −0.684258 | − | 37.2664i | −0.0216924 | − | 1.18142i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.73962 | + | 19.8840i | 0.0550944 | + | 0.629732i | 0.972673 | + | 0.232178i | \(0.0745853\pi\) |
−0.917579 | + | 0.397554i | \(0.869859\pi\) | |||||||
\(998\) | 21.5721 | + | 21.5721i | 0.682854 | + | 0.682854i | ||||
\(999\) | 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 | 405.2.r.a.197.16 | 192 | ||
3.2 | odd | 2 | 135.2.q.a.92.1 | yes | 192 | ||
5.3 | odd | 4 | inner | 405.2.r.a.278.1 | 192 | ||
15.2 | even | 4 | 675.2.ba.b.443.1 | 192 | |||
15.8 | even | 4 | 135.2.q.a.38.16 | yes | 192 | ||
15.14 | odd | 2 | 675.2.ba.b.632.16 | 192 | |||
27.5 | odd | 18 | inner | 405.2.r.a.287.1 | 192 | ||
27.22 | even | 9 | 135.2.q.a.32.16 | ✓ | 192 | ||
135.22 | odd | 36 | 675.2.ba.b.518.16 | 192 | |||
135.49 | even | 18 | 675.2.ba.b.32.1 | 192 | |||
135.103 | odd | 36 | 135.2.q.a.113.1 | yes | 192 | ||
135.113 | even | 36 | inner | 405.2.r.a.368.16 | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
135.2.q.a.32.16 | ✓ | 192 | 27.22 | even | 9 | ||
135.2.q.a.38.16 | yes | 192 | 15.8 | even | 4 | ||
135.2.q.a.92.1 | yes | 192 | 3.2 | odd | 2 | ||
135.2.q.a.113.1 | yes | 192 | 135.103 | odd | 36 | ||
405.2.r.a.197.16 | 192 | 1.1 | even | 1 | trivial | ||
405.2.r.a.278.1 | 192 | 5.3 | odd | 4 | inner | ||
405.2.r.a.287.1 | 192 | 27.5 | odd | 18 | inner | ||
405.2.r.a.368.16 | 192 | 135.113 | even | 36 | inner | ||
675.2.ba.b.32.1 | 192 | 135.49 | even | 18 | |||
675.2.ba.b.443.1 | 192 | 15.2 | even | 4 | |||
675.2.ba.b.518.16 | 192 | 135.22 | odd | 36 | |||
675.2.ba.b.632.16 | 192 | 15.14 | odd | 2 |