Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [504,2,Mod(187,504)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(504, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 4, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("504.187");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 504 = 2^{3} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 504.cz (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.02446026187\) |
Analytic rank: | \(0\) |
Dimension: | \(180\) |
Relative dimension: | \(90\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 187.7 | ||
Character | \(\chi\) | \(=\) | 504.187 |
Dual form | 504.2.cz.b.283.7 |
$q$-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 \(\left(\mathbb{Z}/504\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(127\) | \(253\) | \(281\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37605 | + | 0.326323i | −0.973014 | + | 0.230745i | ||||
\(3\) | −1.36395 | + | 1.06753i | −0.787479 | + | 0.616341i | ||||
\(4\) | 1.78703 | − | 0.898073i | 0.893513 | − | 0.449037i | ||||
\(5\) | −1.29544 | −0.579336 | −0.289668 | − | 0.957127i | \(-0.593545\pi\) | ||||
−0.289668 | + | 0.957127i | \(0.593545\pi\) | |||||||
\(6\) | 1.52851 | − | 1.91407i | 0.624011 | − | 0.781416i | ||||
\(7\) | 2.57211 | + | 0.619896i | 0.972165 | + | 0.234299i | ||||
\(8\) | −2.16598 | + | 1.81894i | −0.765788 | + | 0.643093i | ||||
\(9\) | 0.720742 | − | 2.91214i | 0.240247 | − | 0.970712i | ||||
\(10\) | 1.78258 | − | 0.422730i | 0.563703 | − | 0.133679i | ||||
\(11\) | −2.98972 | −0.901436 | −0.450718 | − | 0.892666i | \(-0.648832\pi\) | ||||
−0.450718 | + | 0.892666i | \(0.648832\pi\) | |||||||
\(12\) | −1.47870 | + | 3.13264i | −0.426864 | + | 0.904316i | ||||
\(13\) | 2.18085 | + | 3.77734i | 0.604858 | + | 1.04764i | 0.992074 | + | 0.125656i | \(0.0401035\pi\) |
−0.387216 | + | 0.921989i | \(0.626563\pi\) | |||||||
\(14\) | −3.74163 | − | 0.0136713i | −0.999993 | − | 0.00365380i | ||||
\(15\) | 1.76691 | − | 1.38292i | 0.456215 | − | 0.357069i | ||||
\(16\) | 2.38693 | − | 3.20976i | 0.596732 | − | 0.802440i | ||||
\(17\) | 5.58434 | − | 3.22412i | 1.35440 | − | 0.781964i | 0.365539 | − | 0.930796i | \(-0.380885\pi\) |
0.988863 | + | 0.148831i | \(0.0475512\pi\) | |||||||
\(18\) | −0.0414806 | + | 4.24244i | −0.00977707 | + | 0.999952i | ||||
\(19\) | 0.691565 | + | 0.399275i | 0.158656 | + | 0.0916000i | 0.577226 | − | 0.816585i | \(-0.304135\pi\) |
−0.418570 | + | 0.908185i | \(0.637469\pi\) | |||||||
\(20\) | −2.31498 | + | 1.16340i | −0.517645 | + | 0.260143i | ||||
\(21\) | −4.16999 | + | 1.90030i | −0.909968 | + | 0.414680i | ||||
\(22\) | 4.11401 | − | 0.975615i | 0.877110 | − | 0.208002i | ||||
\(23\) | 2.12001i | 0.442052i | 0.975268 | + | 0.221026i | \(0.0709406\pi\) | ||||
−0.975268 | + | 0.221026i | \(0.929059\pi\) | |||||||
\(24\) | 1.01251 | − | 4.79321i | 0.206678 | − | 0.978409i | ||||
\(25\) | −3.32185 | −0.664369 | ||||||||
\(26\) | −4.23359 | − | 4.48614i | −0.830274 | − | 0.879805i | ||||
\(27\) | 2.12574 | + | 4.74144i | 0.409100 | + | 0.912490i | ||||
\(28\) | 5.15313 | − | 1.20217i | 0.973851 | − | 0.227188i | ||||
\(29\) | 5.35063 | + | 3.08919i | 0.993587 | + | 0.573648i | 0.906344 | − | 0.422540i | \(-0.138861\pi\) |
0.0872423 | + | 0.996187i | \(0.472195\pi\) | |||||||
\(30\) | −1.98008 | + | 2.47955i | −0.361512 | + | 0.452703i | ||||
\(31\) | −4.23525 | + | 7.33567i | −0.760673 | + | 1.31752i | 0.181831 | + | 0.983330i | \(0.441798\pi\) |
−0.942504 | + | 0.334195i | \(0.891536\pi\) | |||||||
\(32\) | −2.23711 | + | 5.19570i | −0.395470 | + | 0.918479i | ||||
\(33\) | 4.07785 | − | 3.19163i | 0.709862 | − | 0.555592i | ||||
\(34\) | −6.63223 | + | 6.25885i | −1.13742 | + | 1.07338i | ||||
\(35\) | −3.33200 | − | 0.803036i | −0.563210 | − | 0.135738i | ||||
\(36\) | −1.32733 | − | 5.85134i | −0.221221 | − | 0.975224i | ||||
\(37\) | −4.14087 | − | 2.39073i | −0.680754 | − | 0.393034i | 0.119385 | − | 0.992848i | \(-0.461908\pi\) |
−0.800139 | + | 0.599814i | \(0.795241\pi\) | |||||||
\(38\) | −1.08192 | − | 0.323749i | −0.175511 | − | 0.0525190i | ||||
\(39\) | −7.00701 | − | 2.82399i | −1.12202 | − | 0.452200i | ||||
\(40\) | 2.80588 | − | 2.35632i | 0.443649 | − | 0.372567i | ||||
\(41\) | −8.48089 | + | 4.89644i | −1.32449 | + | 0.764696i | −0.984442 | − | 0.175711i | \(-0.943778\pi\) |
−0.340051 | + | 0.940407i | \(0.610444\pi\) | |||||||
\(42\) | 5.11801 | − | 3.97567i | 0.789726 | − | 0.613460i | ||||
\(43\) | −3.24095 | + | 5.61349i | −0.494240 | + | 0.856050i | −0.999978 | − | 0.00663784i | \(-0.997887\pi\) |
0.505738 | + | 0.862687i | \(0.331220\pi\) | |||||||
\(44\) | −5.34272 | + | 2.68499i | −0.805445 | + | 0.404778i | ||||
\(45\) | −0.933675 | + | 3.77248i | −0.139184 | + | 0.562369i | ||||
\(46\) | −0.691807 | − | 2.91724i | −0.102001 | − | 0.430123i | ||||
\(47\) | 2.10294 | + | 3.64240i | 0.306745 | + | 0.531299i | 0.977648 | − | 0.210246i | \(-0.0674266\pi\) |
−0.670903 | + | 0.741545i | \(0.734093\pi\) | |||||||
\(48\) | 0.170868 | + | 6.92610i | 0.0246627 | + | 0.999696i | ||||
\(49\) | 6.23146 | + | 3.18888i | 0.890208 | + | 0.455554i | ||||
\(50\) | 4.57103 | − | 1.08399i | 0.646441 | − | 0.153300i | ||||
\(51\) | −4.17493 | + | 10.3590i | −0.584607 | + | 1.45055i | ||||
\(52\) | 7.28956 | + | 4.79164i | 1.01088 | + | 0.664481i | ||||
\(53\) | −5.39904 | + | 3.11714i | −0.741615 | + | 0.428172i | −0.822656 | − | 0.568539i | \(-0.807509\pi\) |
0.0810409 | + | 0.996711i | \(0.474176\pi\) | |||||||
\(54\) | −4.47237 | − | 5.83077i | −0.608612 | − | 0.793468i | ||||
\(55\) | 3.87299 | 0.522234 | ||||||||
\(56\) | −6.69867 | + | 3.33583i | −0.895148 | + | 0.445769i | ||||
\(57\) | −1.36950 | + | 0.193676i | −0.181395 | + | 0.0256530i | ||||
\(58\) | −8.37080 | − | 2.50484i | −1.09914 | − | 0.328902i | ||||
\(59\) | 5.71256 | + | 3.29815i | 0.743713 | + | 0.429383i | 0.823418 | − | 0.567436i | \(-0.192065\pi\) |
−0.0797051 | + | 0.996818i | \(0.525398\pi\) | |||||||
\(60\) | 1.91556 | − | 4.05814i | 0.247298 | − | 0.523903i | ||||
\(61\) | −4.77473 | − | 8.27007i | −0.611341 | − | 1.05887i | −0.991015 | − | 0.133754i | \(-0.957297\pi\) |
0.379673 | − | 0.925121i | \(-0.376036\pi\) | |||||||
\(62\) | 3.43412 | − | 11.4763i | 0.436134 | − | 1.45749i | ||||
\(63\) | 3.65905 | − | 7.04353i | 0.460997 | − | 0.887402i | ||||
\(64\) | 1.38291 | − | 7.87957i | 0.172863 | − | 0.984946i | ||||
\(65\) | −2.82515 | − | 4.89330i | −0.350416 | − | 0.606939i | ||||
\(66\) | −4.56982 | + | 5.72254i | −0.562506 | + | 0.704396i | ||||
\(67\) | −2.78647 | + | 4.82630i | −0.340421 | + | 0.589627i | −0.984511 | − | 0.175323i | \(-0.943903\pi\) |
0.644090 | + | 0.764950i | \(0.277236\pi\) | |||||||
\(68\) | 7.08387 | − | 10.7767i | 0.859046 | − | 1.30687i | ||||
\(69\) | −2.26318 | − | 2.89159i | −0.272455 | − | 0.348107i | ||||
\(70\) | 4.84704 | + | 0.0177102i | 0.579333 | + | 0.00211678i | ||||
\(71\) | 15.1319i | 1.79583i | 0.440167 | + | 0.897916i | \(0.354919\pi\) | ||||
−0.440167 | + | 0.897916i | \(0.645081\pi\) | |||||||
\(72\) | 3.73589 | + | 7.61860i | 0.440279 | + | 0.897861i | ||||
\(73\) | 13.2132 | − | 7.62862i | 1.54648 | − | 0.892862i | 0.548077 | − | 0.836428i | \(-0.315360\pi\) |
0.998406 | − | 0.0564342i | \(-0.0179731\pi\) | |||||||
\(74\) | 6.47819 | + | 1.93851i | 0.753074 | + | 0.225347i | ||||
\(75\) | 4.53085 | − | 3.54618i | 0.523177 | − | 0.409478i | ||||
\(76\) | 1.59442 | + | 0.0924395i | 0.182893 | + | 0.0106035i | ||||
\(77\) | −7.68989 | − | 1.85332i | −0.876344 | − | 0.211205i | ||||
\(78\) | 10.5635 | + | 1.59940i | 1.19608 | + | 0.181096i | ||||
\(79\) | −5.28146 | + | 3.04925i | −0.594210 | + | 0.343068i | −0.766761 | − | 0.641933i | \(-0.778133\pi\) |
0.172550 | + | 0.985001i | \(0.444799\pi\) | |||||||
\(80\) | −3.09211 | + | 4.15804i | −0.345709 | + | 0.464883i | ||||
\(81\) | −7.96106 | − | 4.19780i | −0.884562 | − | 0.466422i | ||||
\(82\) | 10.0723 | − | 9.50526i | 1.11230 | − | 1.04968i | ||||
\(83\) | 6.94136 | + | 4.00760i | 0.761913 | + | 0.439891i | 0.829982 | − | 0.557790i | \(-0.188350\pi\) |
−0.0680689 | + | 0.997681i | \(0.521684\pi\) | |||||||
\(84\) | −5.74528 | + | 7.14085i | −0.626862 | + | 0.779130i | ||||
\(85\) | −7.23416 | + | 4.17664i | −0.784654 | + | 0.453020i | ||||
\(86\) | 2.62790 | − | 8.78204i | 0.283374 | − | 0.946992i | ||||
\(87\) | −10.5958 | + | 1.49847i | −1.13599 | + | 0.160653i | ||||
\(88\) | 6.47567 | − | 5.43813i | 0.690309 | − | 0.579707i | ||||
\(89\) | −2.85066 | − | 1.64583i | −0.302169 | − | 0.174458i | 0.341248 | − | 0.939973i | \(-0.389151\pi\) |
−0.643417 | + | 0.765516i | \(0.722484\pi\) | |||||||
\(90\) | 0.0537355 | − | 5.49581i | 0.00566421 | − | 0.579309i | ||||
\(91\) | 3.26781 | + | 11.0676i | 0.342560 | + | 1.16020i | ||||
\(92\) | 1.90392 | + | 3.78851i | 0.198498 | + | 0.394979i | ||||
\(93\) | −2.05439 | − | 14.5268i | −0.213030 | − | 1.50636i | ||||
\(94\) | −4.08235 | − | 4.32589i | −0.421062 | − | 0.446181i | ||||
\(95\) | −0.895878 | − | 0.517235i | −0.0919151 | − | 0.0530672i | ||||
\(96\) | −2.49527 | − | 9.47490i | −0.254672 | − | 0.967027i | ||||
\(97\) | 15.4850 | + | 8.94026i | 1.57226 | + | 0.907746i | 0.995891 | + | 0.0905572i | \(0.0288648\pi\) |
0.576370 | + | 0.817189i | \(0.304469\pi\) | |||||||
\(98\) | −9.61540 | − | 2.35459i | −0.971302 | − | 0.237849i | ||||
\(99\) | −2.15482 | + | 8.70648i | −0.216568 | + | 0.875034i | ||||
\(100\) | −5.93623 | + | 2.98326i | −0.593623 | + | 0.298326i | ||||
\(101\) | 6.21283 | 0.618199 | 0.309100 | − | 0.951030i | \(-0.399972\pi\) | ||||
0.309100 | + | 0.951030i | \(0.399972\pi\) | |||||||
\(102\) | 2.36452 | − | 15.6169i | 0.234122 | − | 1.54631i | ||||
\(103\) | −1.06791 | −0.105224 | −0.0526120 | − | 0.998615i | \(-0.516755\pi\) | ||||
−0.0526120 | + | 0.998615i | \(0.516755\pi\) | |||||||
\(104\) | −11.5944 | − | 4.21479i | −1.13693 | − | 0.413294i | ||||
\(105\) | 5.40196 | − | 2.46172i | 0.527177 | − | 0.240239i | ||||
\(106\) | 6.41216 | − | 6.05117i | 0.622804 | − | 0.587741i | ||||
\(107\) | 4.03108 | − | 6.98203i | 0.389699 | − | 0.674978i | −0.602710 | − | 0.797960i | \(-0.705912\pi\) |
0.992409 | + | 0.122982i | \(0.0392457\pi\) | |||||||
\(108\) | 8.05692 | + | 6.56400i | 0.775277 | + | 0.631621i | ||||
\(109\) | 2.26820 | − | 1.30955i | 0.217254 | − | 0.125432i | −0.387424 | − | 0.921902i | \(-0.626635\pi\) |
0.604678 | + | 0.796470i | \(0.293302\pi\) | |||||||
\(110\) | −5.32943 | + | 1.26385i | −0.508142 | + | 0.120503i | ||||
\(111\) | 8.20014 | − | 1.15967i | 0.778323 | − | 0.110071i | ||||
\(112\) | 8.12915 | − | 6.77620i | 0.768133 | − | 0.640291i | ||||
\(113\) | −2.10974 | − | 3.65418i | −0.198468 | − | 0.343756i | 0.749564 | − | 0.661932i | \(-0.230263\pi\) |
−0.948032 | + | 0.318176i | \(0.896930\pi\) | |||||||
\(114\) | 1.82130 | − | 0.713408i | 0.170581 | − | 0.0668168i | ||||
\(115\) | − | 2.74633i | − | 0.256097i | ||||||
\(116\) | 12.3360 | + | 0.715203i | 1.14537 | + | 0.0664050i | ||||
\(117\) | 12.5719 | − | 3.62843i | 1.16228 | − | 0.335449i | ||||
\(118\) | −8.93704 | − | 2.67428i | −0.822721 | − | 0.246187i | ||||
\(119\) | 16.3621 | − | 4.83107i | 1.49992 | − | 0.442863i | ||||
\(120\) | −1.31164 | + | 6.20929i | −0.119736 | + | 0.566828i | ||||
\(121\) | −2.06155 | −0.187414 | ||||||||
\(122\) | 9.26898 | + | 9.82193i | 0.839174 | + | 0.889236i | ||||
\(123\) | 6.34042 | − | 15.7322i | 0.571697 | − | 1.41852i | ||||
\(124\) | −0.980538 | + | 16.9126i | −0.0880549 | + | 1.51880i | ||||
\(125\) | 10.7804 | 0.964230 | ||||||||
\(126\) | −2.73656 | + | 10.8863i | −0.243793 | + | 0.969827i | ||||
\(127\) | − | 17.7694i | − | 1.57678i | −0.615177 | − | 0.788389i | \(-0.710916\pi\) | ||
0.615177 | − | 0.788389i | \(-0.289084\pi\) | |||||||
\(128\) | 0.668336 | + | 11.2940i | 0.0590731 | + | 0.998254i | ||||
\(129\) | −1.57209 | − | 11.1164i | −0.138414 | − | 0.978742i | ||||
\(130\) | 5.48434 | + | 5.81151i | 0.481008 | + | 0.509703i | ||||
\(131\) | − | 10.5637i | − | 0.922955i | −0.887152 | − | 0.461478i | \(-0.847320\pi\) | ||
0.887152 | − | 0.461478i | \(-0.152680\pi\) | |||||||
\(132\) | 4.42090 | − | 9.36574i | 0.384790 | − | 0.815183i | ||||
\(133\) | 1.53127 | + | 1.45568i | 0.132778 | + | 0.126223i | ||||
\(134\) | 2.25939 | − | 7.55052i | 0.195181 | − | 0.652266i | ||||
\(135\) | −2.75377 | − | 6.14222i | −0.237006 | − | 0.528639i | ||||
\(136\) | −6.23107 | + | 17.1410i | −0.534309 | + | 1.46983i | ||||
\(137\) | 4.10655 | 0.350846 | 0.175423 | − | 0.984493i | \(-0.443871\pi\) | ||||
0.175423 | + | 0.984493i | \(0.443871\pi\) | |||||||
\(138\) | 4.05784 | + | 3.24045i | 0.345426 | + | 0.275845i | ||||
\(139\) | −5.45433 | + | 3.14906i | −0.462630 | + | 0.267100i | −0.713149 | − | 0.701012i | \(-0.752732\pi\) |
0.250519 | + | 0.968112i | \(0.419399\pi\) | |||||||
\(140\) | −6.67555 | + | 1.55733i | −0.564187 | + | 0.131619i | ||||
\(141\) | −6.75670 | − | 2.72311i | −0.569017 | − | 0.229327i | ||||
\(142\) | −4.93790 | − | 20.8223i | −0.414379 | − | 1.74737i | ||||
\(143\) | −6.52013 | − | 11.2932i | −0.545241 | − | 0.944384i | ||||
\(144\) | −7.62690 | − | 9.26447i | −0.635575 | − | 0.772039i | ||||
\(145\) | −6.93139 | − | 4.00184i | −0.575621 | − | 0.332335i | ||||
\(146\) | −15.6926 | + | 14.8091i | −1.29873 | + | 1.22561i | ||||
\(147\) | −11.9037 | + | 2.30281i | −0.981797 | + | 0.189933i | ||||
\(148\) | −9.54689 | − | 0.553498i | −0.784750 | − | 0.0454973i | ||||
\(149\) | 14.2537i | 1.16771i | 0.811859 | + | 0.583853i | \(0.198456\pi\) | ||||
−0.811859 | + | 0.583853i | \(0.801544\pi\) | |||||||
\(150\) | −5.07747 | + | 6.35825i | −0.414574 | + | 0.519149i | ||||
\(151\) | 4.73750i | 0.385532i | 0.981245 | + | 0.192766i | \(0.0617459\pi\) | ||||
−0.981245 | + | 0.192766i | \(0.938254\pi\) | |||||||
\(152\) | −2.22417 | + | 0.393095i | −0.180404 | + | 0.0318842i | ||||
\(153\) | −5.36421 | − | 18.5861i | −0.433671 | − | 1.50260i | ||||
\(154\) | 11.1864 | + | 0.0408733i | 0.901430 | + | 0.00329367i | ||||
\(155\) | 5.48649 | − | 9.50289i | 0.440686 | − | 0.763290i | ||||
\(156\) | −15.0579 | + | 1.24627i | −1.20559 | + | 0.0997814i | ||||
\(157\) | 1.44119 | − | 2.49622i | 0.115020 | − | 0.199220i | −0.802768 | − | 0.596292i | \(-0.796640\pi\) |
0.917788 | + | 0.397072i | \(0.129974\pi\) | |||||||
\(158\) | 6.27251 | − | 5.91938i | 0.499014 | − | 0.470921i | ||||
\(159\) | 4.03639 | − | 10.0153i | 0.320107 | − | 0.794265i | ||||
\(160\) | 2.89804 | − | 6.73070i | 0.229110 | − | 0.532108i | ||||
\(161\) | −1.31418 | + | 5.45288i | −0.103572 | + | 0.429747i | ||||
\(162\) | 12.3247 | + | 3.17850i | 0.968316 | + | 0.249727i | ||||
\(163\) | 1.06483 | − | 1.84434i | 0.0834041 | − | 0.144460i | −0.821306 | − | 0.570488i | \(-0.806754\pi\) |
0.904710 | + | 0.426028i | \(0.140087\pi\) | |||||||
\(164\) | −10.7582 | + | 16.3665i | −0.840075 | + | 1.27801i | ||||
\(165\) | −5.28259 | + | 4.13455i | −0.411249 | + | 0.321875i | ||||
\(166\) | −10.8594 | − | 3.24953i | −0.842855 | − | 0.252212i | ||||
\(167\) | 0.609750 | + | 1.05612i | 0.0471838 | + | 0.0817248i | 0.888653 | − | 0.458581i | \(-0.151642\pi\) |
−0.841469 | + | 0.540306i | \(0.818309\pi\) | |||||||
\(168\) | 5.57557 | − | 11.7010i | 0.430165 | − | 0.902750i | ||||
\(169\) | −3.01218 | + | 5.21726i | −0.231707 | + | 0.401327i | ||||
\(170\) | 8.59163 | − | 8.10794i | 0.658948 | − | 0.621851i | ||||
\(171\) | 1.66118 | − | 1.72616i | 0.127034 | − | 0.132002i | ||||
\(172\) | −0.750340 | + | 12.9421i | −0.0572129 | + | 0.986824i | ||||
\(173\) | 5.31967 | + | 9.21393i | 0.404447 | + | 0.700522i | 0.994257 | − | 0.107020i | \(-0.0341308\pi\) |
−0.589810 | + | 0.807542i | \(0.700797\pi\) | |||||||
\(174\) | 14.0914 | − | 5.51963i | 1.06827 | − | 0.418442i | ||||
\(175\) | −8.54414 | − | 2.05920i | −0.645876 | − | 0.155661i | ||||
\(176\) | −7.13626 | + | 9.59630i | −0.537916 | + | 0.723348i | ||||
\(177\) | −11.3126 | + | 1.59983i | −0.850304 | + | 0.120251i | ||||
\(178\) | 4.45972 | + | 1.33451i | 0.334270 | + | 0.100026i | ||||
\(179\) | −4.41006 | − | 7.63846i | −0.329624 | − | 0.570925i | 0.652813 | − | 0.757519i | \(-0.273589\pi\) |
−0.982437 | + | 0.186594i | \(0.940255\pi\) | |||||||
\(180\) | 1.71946 | + | 7.58004i | 0.128161 | + | 0.564983i | ||||
\(181\) | −0.570360 | −0.0423945 | −0.0211973 | − | 0.999775i | \(-0.506748\pi\) | ||||
−0.0211973 | + | 0.999775i | \(0.506748\pi\) | |||||||
\(182\) | −8.10829 | − | 14.1632i | −0.601026 | − | 1.04985i | ||||
\(183\) | 15.3411 | + | 6.18281i | 1.13405 | + | 0.457047i | ||||
\(184\) | −3.85617 | − | 4.59188i | −0.284280 | − | 0.338518i | ||||
\(185\) | 5.36423 | + | 3.09704i | 0.394386 | + | 0.227699i | ||||
\(186\) | 7.56736 | + | 19.3192i | 0.554866 | + | 1.41655i | ||||
\(187\) | −16.6956 | + | 9.63923i | −1.22091 | + | 0.704891i | ||||
\(188\) | 7.02915 | + | 4.62047i | 0.512654 | + | 0.336983i | ||||
\(189\) | 2.52844 | + | 13.5132i | 0.183917 | + | 0.982942i | ||||
\(190\) | 1.40156 | + | 0.419396i | 0.101680 | + | 0.0304262i | ||||
\(191\) | −0.995333 | + | 0.574656i | −0.0720198 | + | 0.0415806i | −0.535577 | − | 0.844486i | \(-0.679906\pi\) |
0.463558 | + | 0.886067i | \(0.346573\pi\) | |||||||
\(192\) | 6.52549 | + | 12.2237i | 0.470936 | + | 0.882167i | ||||
\(193\) | 5.24266 | − | 9.08055i | 0.377375 | − | 0.653632i | −0.613305 | − | 0.789846i | \(-0.710160\pi\) |
0.990679 | + | 0.136214i | \(0.0434936\pi\) | |||||||
\(194\) | −24.2255 | − | 7.24914i | −1.73929 | − | 0.520458i | ||||
\(195\) | 9.07713 | + | 3.65829i | 0.650027 | + | 0.261976i | ||||
\(196\) | 13.9996 | + | 0.102306i | 0.999973 | + | 0.00730755i | ||||
\(197\) | − | 3.02860i | − | 0.215779i | −0.994163 | − | 0.107889i | \(-0.965591\pi\) | ||
0.994163 | − | 0.107889i | \(-0.0344092\pi\) | |||||||
\(198\) | 0.124016 | − | 12.6837i | 0.00881340 | − | 0.901393i | ||||
\(199\) | 5.80546 | + | 10.0554i | 0.411538 | + | 0.712806i | 0.995058 | − | 0.0992934i | \(-0.0316582\pi\) |
−0.583520 | + | 0.812099i | \(0.698325\pi\) | |||||||
\(200\) | 7.19504 | − | 6.04224i | 0.508766 | − | 0.427251i | ||||
\(201\) | −1.35163 | − | 9.55751i | −0.0953366 | − | 0.674134i | ||||
\(202\) | −8.54916 | + | 2.02739i | −0.601517 | + | 0.142646i | ||||
\(203\) | 11.8474 | + | 11.2626i | 0.831525 | + | 0.790476i | ||||
\(204\) | 1.84246 | + | 22.2613i | 0.128998 | + | 1.55860i | ||||
\(205\) | 10.9864 | − | 6.34303i | 0.767327 | − | 0.443016i | ||||
\(206\) | 1.46949 | − | 0.348482i | 0.102384 | − | 0.0242799i | ||||
\(207\) | 6.17375 | + | 1.52798i | 0.429105 | + | 0.106202i | ||||
\(208\) | 17.3299 | + | 2.01624i | 1.20161 | + | 0.139801i | ||||
\(209\) | −2.06759 | − | 1.19372i | −0.143018 | − | 0.0825715i | ||||
\(210\) | −6.63005 | + | 5.15023i | −0.457517 | + | 0.355400i | ||||
\(211\) | −5.40209 | − | 9.35669i | −0.371895 | − | 0.644141i | 0.617962 | − | 0.786208i | \(-0.287959\pi\) |
−0.989857 | + | 0.142067i | \(0.954625\pi\) | |||||||
\(212\) | −6.84881 | + | 10.4191i | −0.470378 | + | 0.715590i | ||||
\(213\) | −16.1539 | − | 20.6393i | −1.10684 | − | 1.41418i | ||||
\(214\) | −3.26857 | + | 10.9231i | −0.223435 | + | 0.746685i | ||||
\(215\) | 4.19844 | − | 7.27192i | 0.286331 | − | 0.495941i | ||||
\(216\) | −13.2287 | − | 6.40323i | −0.900099 | − | 0.435685i | ||||
\(217\) | −15.4409 | + | 16.2427i | −1.04819 | + | 1.10263i | ||||
\(218\) | −2.69382 | + | 2.54217i | −0.182449 | + | 0.172177i | ||||
\(219\) | −9.87833 | + | 24.5106i | −0.667516 | + | 1.65627i | ||||
\(220\) | 6.92114 | − | 3.47823i | 0.466623 | − | 0.234502i | ||||
\(221\) | 24.3572 | + | 14.0626i | 1.63844 | + | 0.945955i | ||||
\(222\) | −10.9054 | + | 4.27166i | −0.731921 | + | 0.286695i | ||||
\(223\) | −8.99116 | + | 15.5731i | −0.602092 | + | 1.04285i | 0.390411 | + | 0.920641i | \(0.372333\pi\) |
−0.992504 | + | 0.122214i | \(0.961001\pi\) | |||||||
\(224\) | −8.97489 | + | 11.9771i | −0.599660 | + | 0.800255i | ||||
\(225\) | −2.39419 | + | 9.67367i | −0.159613 | + | 0.644911i | ||||
\(226\) | 4.09555 | + | 4.33987i | 0.272432 | + | 0.288684i | ||||
\(227\) | − | 13.2026i | − | 0.876288i | −0.898905 | − | 0.438144i | \(-0.855636\pi\) | ||
0.898905 | − | 0.438144i | \(-0.144364\pi\) | |||||||
\(228\) | −2.27340 | + | 1.57602i | −0.150560 | + | 0.104374i | ||||
\(229\) | −2.61733 | −0.172958 | −0.0864792 | − | 0.996254i | \(-0.527562\pi\) | ||||
−0.0864792 | + | 0.996254i | \(0.527562\pi\) | |||||||
\(230\) | 0.896191 | + | 3.77909i | 0.0590931 | + | 0.249186i | ||||
\(231\) | 12.4671 | − | 5.68137i | 0.820277 | − | 0.373807i | ||||
\(232\) | −17.2084 | + | 3.04137i | −1.12979 | + | 0.199676i | ||||
\(233\) | −12.5660 | + | 21.7650i | −0.823229 | + | 1.42587i | 0.0800362 | + | 0.996792i | \(0.474496\pi\) |
−0.903265 | + | 0.429083i | \(0.858837\pi\) | |||||||
\(234\) | −16.1156 | + | 9.09542i | −1.05351 | + | 0.594586i | ||||
\(235\) | −2.72422 | − | 4.71850i | −0.177709 | − | 0.307801i | ||||
\(236\) | 13.1705 | + | 0.763582i | 0.857326 | + | 0.0497050i | ||||
\(237\) | 3.94849 | − | 9.79717i | 0.256482 | − | 0.636395i | ||||
\(238\) | −20.9386 | + | 11.9871i | −1.35725 | + | 0.777010i | ||||
\(239\) | 8.31881 | − | 4.80287i | 0.538099 | − | 0.310672i | −0.206209 | − | 0.978508i | \(-0.566113\pi\) |
0.744308 | + | 0.667836i | \(0.232779\pi\) | |||||||
\(240\) | −0.221348 | − | 8.97231i | −0.0142880 | − | 0.579160i | ||||
\(241\) | 18.3114i | 1.17954i | 0.807572 | + | 0.589769i | \(0.200781\pi\) | ||||
−0.807572 | + | 0.589769i | \(0.799219\pi\) | |||||||
\(242\) | 2.83680 | − | 0.672732i | 0.182356 | − | 0.0432448i | ||||
\(243\) | 15.3398 | − | 2.77310i | 0.984050 | − | 0.177895i | ||||
\(244\) | −15.9597 | − | 10.4908i | −1.02171 | − | 0.671604i | ||||
\(245\) | −8.07245 | − | 4.13099i | −0.515730 | − | 0.263919i | ||||
\(246\) | −3.59098 | + | 23.7173i | −0.228952 | + | 1.51216i | ||||
\(247\) | 3.48303i | 0.221620i | ||||||||
\(248\) | −4.16970 | − | 23.5926i | −0.264776 | − | 1.49813i | ||||
\(249\) | −13.7459 | + | 1.94396i | −0.871114 | + | 0.123194i | ||||
\(250\) | −14.8344 | + | 3.51790i | −0.938209 | + | 0.222491i | ||||
\(251\) | − | 5.91016i | − | 0.373046i | −0.982451 | − | 0.186523i | \(-0.940278\pi\) | ||
0.982451 | − | 0.186523i | \(-0.0597219\pi\) | |||||||
\(252\) | 0.213205 | − | 15.8731i | 0.0134306 | − | 0.999910i | ||||
\(253\) | − | 6.33824i | − | 0.398481i | ||||||
\(254\) | 5.79855 | + | 24.4516i | 0.363834 | + | 1.53423i | ||||
\(255\) | 5.40835 | − | 13.4195i | 0.338684 | − | 0.840359i | ||||
\(256\) | −4.60514 | − | 15.3229i | −0.287821 | − | 0.957684i | ||||
\(257\) | 7.73903i | 0.482748i | 0.970432 | + | 0.241374i | \(0.0775980\pi\) | ||||
−0.970432 | + | 0.241374i | \(0.922402\pi\) | |||||||
\(258\) | 5.79079 | + | 14.7837i | 0.360519 | + | 0.920391i | ||||
\(259\) | −9.16874 | − | 8.71612i | −0.569718 | − | 0.541593i | ||||
\(260\) | −9.44315 | − | 6.20726i | −0.585639 | − | 0.384958i | ||||
\(261\) | 12.8526 | − | 13.3552i | 0.795553 | − | 0.826669i | ||||
\(262\) | 3.44718 | + | 14.5362i | 0.212967 | + | 0.898048i | ||||
\(263\) | − | 13.5681i | − | 0.836643i | −0.908299 | − | 0.418321i | \(-0.862619\pi\) | ||
0.908299 | − | 0.418321i | \(-0.137381\pi\) | |||||||
\(264\) | −3.02713 | + | 14.3304i | −0.186307 | + | 0.881973i | ||||
\(265\) | 6.99411 | − | 4.03805i | 0.429645 | − | 0.248056i | ||||
\(266\) | −2.58212 | − | 1.50340i | −0.158320 | − | 0.0921791i | ||||
\(267\) | 5.64515 | − | 0.798341i | 0.345478 | − | 0.0488577i | ||||
\(268\) | −0.645118 | + | 11.1272i | −0.0394069 | + | 0.679701i | ||||
\(269\) | −1.71964 | − | 2.97850i | −0.104848 | − | 0.181603i | 0.808828 | − | 0.588045i | \(-0.200102\pi\) |
−0.913676 | + | 0.406443i | \(0.866769\pi\) | |||||||
\(270\) | 5.79367 | + | 7.55339i | 0.352591 | + | 0.459685i | ||||
\(271\) | 1.23681 | − | 2.14222i | 0.0751308 | − | 0.130130i | −0.826012 | − | 0.563652i | \(-0.809396\pi\) |
0.901143 | + | 0.433522i | \(0.142729\pi\) | |||||||
\(272\) | 2.98077 | − | 25.6202i | 0.180736 | − | 1.55345i | ||||
\(273\) | −16.2722 | − | 11.6072i | −0.984838 | − | 0.702501i | ||||
\(274\) | −5.65081 | + | 1.34006i | −0.341378 | + | 0.0809560i | ||||
\(275\) | 9.93140 | 0.598886 | ||||||||
\(276\) | −6.64122 | − | 3.13485i | −0.399755 | − | 0.188696i | ||||
\(277\) | 28.9981i | 1.74233i | 0.490993 | + | 0.871164i | \(0.336634\pi\) | ||||
−0.490993 | + | 0.871164i | \(0.663366\pi\) | |||||||
\(278\) | 6.47782 | − | 6.11313i | 0.388514 | − | 0.366641i | ||||
\(279\) | 18.3099 | + | 17.6207i | 1.09619 | + | 1.05493i | ||||
\(280\) | 8.67770 | − | 4.32135i | 0.518592 | − | 0.258250i | ||||
\(281\) | 12.6078 | − | 21.8373i | 0.752118 | − | 1.30271i | −0.194677 | − | 0.980867i | \(-0.562366\pi\) |
0.946795 | − | 0.321839i | \(-0.104301\pi\) | |||||||
\(282\) | 10.1862 | + | 1.54226i | 0.606578 | + | 0.0918405i | ||||
\(283\) | −2.32788 | − | 1.34400i | −0.138378 | − | 0.0798926i | 0.429213 | − | 0.903203i | \(-0.358791\pi\) |
−0.567591 | + | 0.823311i | \(0.692124\pi\) | |||||||
\(284\) | 13.5896 | + | 27.0412i | 0.806394 | + | 1.60460i | ||||
\(285\) | 1.77410 | − | 0.250895i | 0.105089 | − | 0.0148617i | ||||
\(286\) | 12.6573 | + | 13.4123i | 0.748439 | + | 0.793088i | ||||
\(287\) | −24.8490 | + | 7.33690i | −1.46679 | + | 0.433084i | ||||
\(288\) | 13.5182 | + | 10.2595i | 0.796568 | + | 0.604549i | ||||
\(289\) | 12.2899 | − | 21.2868i | 0.722937 | − | 1.25216i | ||||
\(290\) | 10.8438 | + | 3.24486i | 0.636772 | + | 0.190545i | ||||
\(291\) | −30.6648 | + | 4.33664i | −1.79760 | + | 0.254219i | ||||
\(292\) | 16.7612 | − | 25.4989i | 0.980875 | − | 1.49221i | ||||
\(293\) | −9.75157 | − | 16.8902i | −0.569693 | − | 0.986737i | −0.996596 | − | 0.0824399i | \(-0.973729\pi\) |
0.426903 | − | 0.904297i | \(-0.359605\pi\) | |||||||
\(294\) | 15.6286 | − | 7.05322i | 0.911477 | − | 0.411352i | ||||
\(295\) | −7.40026 | − | 4.27254i | −0.430860 | − | 0.248757i | ||||
\(296\) | 13.3176 | − | 2.35373i | 0.774071 | − | 0.136808i | ||||
\(297\) | −6.35539 | − | 14.1756i | −0.368777 | − | 0.822551i | ||||
\(298\) | −4.65130 | − | 19.6138i | −0.269442 | − | 1.13619i | ||||
\(299\) | −8.00798 | + | 4.62341i | −0.463114 | + | 0.267379i | ||||
\(300\) | 4.91201 | − | 10.4062i | 0.283595 | − | 0.600800i | ||||
\(301\) | −11.8159 | + | 12.4294i | −0.681054 | + | 0.716421i | ||||
\(302\) | −1.54595 | − | 6.51904i | −0.0889597 | − | 0.375128i | ||||
\(303\) | −8.47401 | + | 6.63240i | −0.486819 | + | 0.381022i | ||||
\(304\) | 2.93229 | − | 1.26672i | 0.168179 | − | 0.0726512i | ||||
\(305\) | 6.18535 | + | 10.7133i | 0.354172 | + | 0.613444i | ||||
\(306\) | 13.4465 | + | 23.8250i | 0.768685 | + | 1.36198i | ||||
\(307\) | 17.3252i | 0.988803i | 0.869234 | + | 0.494402i | \(0.164613\pi\) | ||||
−0.869234 | + | 0.494402i | \(0.835387\pi\) | |||||||
\(308\) | −15.4064 | + | 3.59415i | −0.877864 | + | 0.204796i | ||||
\(309\) | 1.45658 | − | 1.14003i | 0.0828617 | − | 0.0648538i | ||||
\(310\) | −4.44868 | + | 14.8668i | −0.252668 | + | 0.844378i | ||||
\(311\) | −4.92098 | + | 8.52339i | −0.279043 | + | 0.483317i | −0.971147 | − | 0.238481i | \(-0.923351\pi\) |
0.692104 | + | 0.721798i | \(0.256684\pi\) | |||||||
\(312\) | 20.3137 | − | 6.62865i | 1.15004 | − | 0.375274i | ||||
\(313\) | 21.7251 | − | 12.5430i | 1.22797 | − | 0.708971i | 0.261369 | − | 0.965239i | \(-0.415826\pi\) |
0.966606 | + | 0.256268i | \(0.0824929\pi\) | |||||||
\(314\) | −1.16858 | + | 3.90522i | −0.0659468 | + | 0.220384i | ||||
\(315\) | −4.74006 | + | 9.12445i | −0.267072 | + | 0.514104i | ||||
\(316\) | −6.69966 | + | 10.1922i | −0.376885 | + | 0.573358i | ||||
\(317\) | 15.6620 | − | 9.04247i | 0.879667 | − | 0.507876i | 0.00911817 | − | 0.999958i | \(-0.497098\pi\) |
0.870548 | + | 0.492083i | \(0.163764\pi\) | |||||||
\(318\) | −2.28606 | + | 15.0987i | −0.128196 | + | 0.846694i | ||||
\(319\) | −15.9969 | − | 9.23582i | −0.895655 | − | 0.517106i | ||||
\(320\) | −1.79146 | + | 10.2075i | −0.100146 | + | 0.570615i | ||||
\(321\) | 1.95535 | + | 13.8265i | 0.109137 | + | 0.771719i | ||||
\(322\) | 0.0289832 | − | 7.93229i | 0.00161517 | − | 0.442049i | ||||
\(323\) | 5.14925 | 0.286512 | ||||||||
\(324\) | −17.9966 | − | 0.351958i | −0.999809 | − | 0.0195532i | ||||
\(325\) | −7.24444 | − | 12.5477i | −0.401849 | − | 0.696023i | ||||
\(326\) | −0.863411 | + | 2.88539i | −0.0478199 | + | 0.159807i | ||||
\(327\) | −1.69574 | + | 4.20754i | −0.0937744 | + | 0.232678i | ||||
\(328\) | 9.46306 | − | 26.0318i | 0.522510 | − | 1.43737i | ||||
\(329\) | 3.15108 | + | 10.6722i | 0.173724 | + | 0.588380i | ||||
\(330\) | 5.91990 | − | 7.41318i | 0.325880 | − | 0.408082i | ||||
\(331\) | −13.6829 | − | 23.6995i | −0.752080 | − | 1.30264i | −0.946813 | − | 0.321785i | \(-0.895717\pi\) |
0.194733 | − | 0.980856i | \(-0.437616\pi\) | |||||||
\(332\) | 16.0035 | + | 0.927832i | 0.878307 | + | 0.0509214i | ||||
\(333\) | −9.94663 | + | 10.3357i | −0.545072 | + | 0.566391i | ||||
\(334\) | −1.18368 | − | 1.25429i | −0.0647682 | − | 0.0686320i | ||||
\(335\) | 3.60969 | − | 6.25217i | 0.197218 | − | 0.341592i | ||||
\(336\) | −3.85397 | + | 17.9206i | −0.210251 | + | 0.977647i | ||||
\(337\) | 9.41616 | + | 16.3093i | 0.512931 | + | 0.888423i | 0.999888 | + | 0.0149964i | \(0.00477369\pi\) |
−0.486956 | + | 0.873426i | \(0.661893\pi\) | |||||||
\(338\) | 2.44241 | − | 8.16215i | 0.132849 | − | 0.443962i | ||||
\(339\) | 6.77855 | + | 2.73191i | 0.368160 | + | 0.148377i | ||||
\(340\) | −9.17670 | + | 13.9606i | −0.497676 | + | 0.757118i | ||||
\(341\) | 12.6622 | − | 21.9316i | 0.685698 | − | 1.18766i | ||||
\(342\) | −1.72259 | + | 2.91736i | −0.0931468 | + | 0.157753i | ||||
\(343\) | 14.0512 | + | 12.0650i | 0.758693 | + | 0.651448i | ||||
\(344\) | −3.19079 | − | 18.0538i | −0.172036 | − | 0.973395i | ||||
\(345\) | 2.93180 | + | 3.74587i | 0.157843 | + | 0.201671i | ||||
\(346\) | −10.3268 | − | 10.9429i | −0.555174 | − | 0.588294i | ||||
\(347\) | 10.9055 | − | 18.8888i | 0.585435 | − | 1.01400i | −0.409386 | − | 0.912361i | \(-0.634257\pi\) |
0.994821 | − | 0.101642i | \(-0.0324097\pi\) | |||||||
\(348\) | −17.5893 | + | 12.1936i | −0.942885 | + | 0.653647i | ||||
\(349\) | 10.1457 | − | 17.5730i | 0.543089 | − | 0.940658i | −0.455635 | − | 0.890167i | \(-0.650588\pi\) |
0.998724 | − | 0.0504918i | \(-0.0160789\pi\) | |||||||
\(350\) | 12.4291 | + | 0.0454139i | 0.664365 | + | 0.00242747i | ||||
\(351\) | −13.2741 | + | 18.3700i | −0.708518 | + | 0.980518i | ||||
\(352\) | 6.68836 | − | 15.5337i | 0.356491 | − | 0.827950i | ||||
\(353\) | − | 20.8193i | − | 1.10810i | −0.832483 | − | 0.554051i | \(-0.813081\pi\) | ||
0.832483 | − | 0.554051i | \(-0.186919\pi\) | |||||||
\(354\) | 15.0446 | − | 5.89300i | 0.799611 | − | 0.313209i | ||||
\(355\) | − | 19.6025i | − | 1.04039i | ||||||
\(356\) | −6.57228 | − | 0.381040i | −0.348330 | − | 0.0201951i | ||||
\(357\) | −17.1599 | + | 24.0565i | −0.908197 | + | 1.27321i | ||||
\(358\) | 8.56107 | + | 9.07179i | 0.452467 | + | 0.479459i | ||||
\(359\) | −11.9694 | − | 6.91053i | −0.631720 | − | 0.364724i | 0.149698 | − | 0.988732i | \(-0.452170\pi\) |
−0.781418 | + | 0.624008i | \(0.785503\pi\) | |||||||
\(360\) | −4.83961 | − | 9.86941i | −0.255070 | − | 0.520164i | ||||
\(361\) | −9.18116 | − | 15.9022i | −0.483219 | − | 0.836960i | ||||
\(362\) | 0.784843 | − | 0.186121i | 0.0412505 | − | 0.00978232i | ||||
\(363\) | 2.81186 | − | 2.20078i | 0.147585 | − | 0.115511i | ||||
\(364\) | 15.7792 | + | 16.8434i | 0.827054 | + | 0.882833i | ||||
\(365\) | −17.1168 | + | 9.88239i | −0.895934 | + | 0.517268i | ||||
\(366\) | −23.1277 | − | 3.50171i | −1.20890 | − | 0.183037i | ||||
\(367\) | −5.93144 | −0.309618 | −0.154809 | − | 0.987944i | \(-0.549476\pi\) | ||||
−0.154809 | + | 0.987944i | \(0.549476\pi\) | |||||||
\(368\) | 6.80472 | + | 5.06031i | 0.354720 | + | 0.263787i | ||||
\(369\) | 8.14657 | + | 28.2266i | 0.424094 | + | 1.46942i | ||||
\(370\) | −8.39208 | − | 2.51121i | −0.436283 | − | 0.130552i | ||||
\(371\) | −15.8192 | + | 4.67076i | −0.821292 | + | 0.242494i | ||||
\(372\) | −16.7174 | − | 24.1148i | −0.866755 | − | 1.25029i | ||||
\(373\) | − | 14.1749i | − | 0.733948i | −0.930231 | − | 0.366974i | \(-0.880394\pi\) | ||
0.930231 | − | 0.366974i | \(-0.119606\pi\) | |||||||
\(374\) | 19.8285 | − | 18.7122i | 1.02531 | − | 0.967587i | ||||
\(375\) | −14.7040 | + | 11.5085i | −0.759311 | + | 0.594294i | ||||
\(376\) | −11.1802 | − | 4.06423i | −0.576576 | − | 0.209596i | ||||
\(377\) | 26.9482i | 1.38790i | ||||||||
\(378\) | −7.88893 | − | 17.7698i | −0.405763 | − | 0.913978i | ||||
\(379\) | 5.49974 | 0.282502 | 0.141251 | − | 0.989974i | \(-0.454887\pi\) | ||||
0.141251 | + | 0.989974i | \(0.454887\pi\) | |||||||
\(380\) | −2.06547 | − | 0.119749i | −0.105956 | − | 0.00614302i | ||||
\(381\) | 18.9694 | + | 24.2366i | 0.971833 | + | 1.24168i | ||||
\(382\) | 1.18210 | − | 1.11556i | 0.0604817 | − | 0.0570768i | ||||
\(383\) | −4.65367 | −0.237792 | −0.118896 | − | 0.992907i | \(-0.537935\pi\) | ||||
−0.118896 | + | 0.992907i | \(0.537935\pi\) | |||||||
\(384\) | −12.9683 | − | 14.6910i | −0.661784 | − | 0.749695i | ||||
\(385\) | 9.96175 | + | 2.40086i | 0.507698 | + | 0.122359i | ||||
\(386\) | −4.25097 | + | 14.2061i | −0.216368 | + | 0.723071i | ||||
\(387\) | 14.0114 | + | 13.4840i | 0.712237 | + | 0.685429i | ||||
\(388\) | 35.7011 | + | 2.06983i | 1.81245 | + | 0.105080i | ||||
\(389\) | 4.46691i | 0.226481i | 0.993568 | + | 0.113241i | \(0.0361231\pi\) | ||||
−0.993568 | + | 0.113241i | \(0.963877\pi\) | |||||||
\(390\) | −13.6844 | − | 2.07192i | −0.692935 | − | 0.104916i | ||||
\(391\) | 6.83516 | + | 11.8388i | 0.345669 | + | 0.598716i | ||||
\(392\) | −19.2976 | + | 4.42762i | −0.974674 | + | 0.223629i | ||||
\(393\) | 11.2771 | + | 14.4084i | 0.568855 | + | 0.726808i | ||||
\(394\) | 0.988302 | + | 4.16751i | 0.0497899 | + | 0.209956i | ||||
\(395\) | 6.84179 | − | 3.95011i | 0.344248 | − | 0.198752i | ||||
\(396\) | 3.96834 | + | 17.4939i | 0.199416 | + | 0.879101i | ||||
\(397\) | −11.8784 | + | 20.5740i | −0.596159 | + | 1.03258i | 0.397224 | + | 0.917722i | \(0.369974\pi\) |
−0.993382 | + | 0.114855i | \(0.963360\pi\) | |||||||
\(398\) | −11.2699 | − | 11.9422i | −0.564909 | − | 0.598609i | ||||
\(399\) | −3.64256 | − | 0.350794i | −0.182356 | − | 0.0175617i | ||||
\(400\) | −7.92901 | + | 10.6623i | −0.396451 | + | 0.533117i | ||||
\(401\) | −19.7578 | −0.986659 | −0.493329 | − | 0.869843i | \(-0.664220\pi\) | ||||
−0.493329 | + | 0.869843i | \(0.664220\pi\) | |||||||
\(402\) | 4.97874 | + | 12.7105i | 0.248317 | + | 0.633944i | ||||
\(403\) | −36.9457 | −1.84040 | ||||||||
\(404\) | 11.1025 | − | 5.57957i | 0.552369 | − | 0.277594i | ||||
\(405\) | 10.3130 | + | 5.43797i | 0.512459 | + | 0.270215i | ||||
\(406\) | −19.9779 | − | 11.6318i | −0.991484 | − | 0.577274i | ||||
\(407\) | 12.3800 | + | 7.14762i | 0.613656 | + | 0.354295i | ||||
\(408\) | −9.79967 | − | 30.0314i | −0.485156 | − | 1.48677i | ||||
\(409\) | −2.73101 | − | 1.57675i | −0.135040 | − | 0.0779653i | 0.430958 | − | 0.902372i | \(-0.358176\pi\) |
−0.565998 | + | 0.824407i | \(0.691509\pi\) | |||||||
\(410\) | −13.0480 | + | 12.3135i | −0.644396 | + | 0.608118i | ||||
\(411\) | −5.60114 | + | 4.38388i | −0.276284 | + | 0.216241i | ||||
\(412\) | −1.90838 | + | 0.959058i | −0.0940190 | + | 0.0472494i | ||||
\(413\) | 12.6488 | + | 12.0244i | 0.622407 | + | 0.591682i | ||||
\(414\) | −8.99400 | − | 0.0879392i | −0.442031 | − | 0.00432197i | ||||
\(415\) | −8.99209 | − | 5.19158i | −0.441404 | − | 0.254845i | ||||
\(416\) | −24.5047 | + | 2.88069i | −1.20144 | + | 0.141238i | ||||
\(417\) | 4.07773 | − | 10.1179i | 0.199687 | − | 0.495473i | ||||
\(418\) | 3.23464 | + | 0.967920i | 0.158212 | + | 0.0473425i | ||||
\(419\) | 11.4750 | − | 6.62512i | 0.560593 | − | 0.323658i | −0.192791 | − | 0.981240i | \(-0.561754\pi\) |
0.753383 | + | 0.657582i | \(0.228420\pi\) | |||||||
\(420\) | 7.44265 | − | 9.25051i | 0.363164 | − | 0.451379i | ||||
\(421\) | −32.3202 | − | 18.6601i | −1.57519 | − | 0.909436i | −0.995517 | − | 0.0945869i | \(-0.969847\pi\) |
−0.579673 | − | 0.814849i | \(-0.696820\pi\) | |||||||
\(422\) | 10.4868 | + | 11.1125i | 0.510492 | + | 0.540946i | ||||
\(423\) | 12.1228 | − | 3.49882i | 0.589433 | − | 0.170118i | ||||
\(424\) | 6.02430 | − | 16.5722i | 0.292566 | − | 0.804817i | ||||
\(425\) | −18.5503 | + | 10.7100i | −0.899823 | + | 0.519513i | ||||
\(426\) | 28.9636 | + | 23.1293i | 1.40329 | + | 1.12062i | ||||
\(427\) | −7.15452 | − | 24.2313i | −0.346231 | − | 1.17264i | ||||
\(428\) | 0.933268 | − | 16.0973i | 0.0451112 | − | 0.778091i | ||||
\(429\) | 20.9490 | + | 8.44294i | 1.01143 | + | 0.407629i | ||||
\(430\) | −3.40427 | + | 11.3766i | −0.164169 | + | 0.548627i | ||||
\(431\) | 23.6556 | − | 13.6575i | 1.13945 | − | 0.657861i | 0.193154 | − | 0.981168i | \(-0.438128\pi\) |
0.946294 | + | 0.323308i | \(0.104795\pi\) | |||||||
\(432\) | 20.2929 | + | 4.49434i | 0.976342 | + | 0.216234i | ||||
\(433\) | 13.4073i | 0.644313i | 0.946686 | + | 0.322157i | \(0.104408\pi\) | ||||
−0.946686 | + | 0.322157i | \(0.895592\pi\) | |||||||
\(434\) | 15.9470 | − | 27.3895i | 0.765482 | − | 1.31474i | ||||
\(435\) | 13.7262 | − | 1.94117i | 0.658121 | − | 0.0930720i | ||||
\(436\) | 2.87727 | − | 4.37720i | 0.137796 | − | 0.209630i | ||||
\(437\) | −0.846466 | + | 1.46612i | −0.0404920 | + | 0.0701341i | ||||
\(438\) | 5.59471 | − | 36.9513i | 0.267326 | − | 1.76560i | ||||
\(439\) | −0.443628 | − | 0.768386i | −0.0211732 | − | 0.0366731i | 0.855245 | − | 0.518224i | \(-0.173407\pi\) |
−0.876418 | + | 0.481551i | \(0.840073\pi\) | |||||||
\(440\) | −8.38881 | + | 7.04475i | −0.399921 | + | 0.335845i | ||||
\(441\) | 13.7777 | − | 15.8485i | 0.656082 | − | 0.754690i | ||||
\(442\) | −38.1057 | − | 11.4026i | −1.81250 | − | 0.542365i | ||||
\(443\) | −8.92719 | − | 15.4623i | −0.424143 | − | 0.734638i | 0.572197 | − | 0.820117i | \(-0.306091\pi\) |
−0.996340 | + | 0.0854785i | \(0.972758\pi\) | |||||||
\(444\) | 13.6124 | − | 9.43669i | 0.646016 | − | 0.447845i | ||||
\(445\) | 3.69285 | + | 2.13207i | 0.175058 | + | 0.101070i | ||||
\(446\) | 7.29041 | − | 24.3634i | 0.345211 | − | 1.15364i | ||||
\(447\) | −15.2163 | − | 19.4414i | −0.719705 | − | 0.919544i | ||||
\(448\) | 8.44149 | − | 19.4098i | 0.398823 | − | 0.917028i | ||||
\(449\) | −22.2234 | −1.04879 | −0.524393 | − | 0.851476i | \(-0.675708\pi\) | ||||
−0.524393 | + | 0.851476i | \(0.675708\pi\) | |||||||
\(450\) | 0.137792 | − | 14.0927i | 0.00649559 | − | 0.664338i | ||||
\(451\) | 25.3555 | − | 14.6390i | 1.19394 | − | 0.689324i | ||||
\(452\) | −7.05188 | − | 4.63541i | −0.331693 | − | 0.218031i | ||||
\(453\) | −5.05744 | − | 6.46173i | −0.237619 | − | 0.303599i | ||||
\(454\) | 4.30831 | + | 18.1674i | 0.202199 | + | 0.852641i | ||||
\(455\) | −4.23324 | − | 14.3374i | −0.198457 | − | 0.672147i | ||||
\(456\) | 2.61402 | − | 2.91054i | 0.122413 | − | 0.136299i | ||||
\(457\) | 11.6642 | + | 20.2030i | 0.545628 | + | 0.945056i | 0.998567 | + | 0.0535141i | \(0.0170422\pi\) |
−0.452939 | + | 0.891542i | \(0.649624\pi\) | |||||||
\(458\) | 3.60158 | − | 0.854096i | 0.168291 | − | 0.0399093i | ||||
\(459\) | 27.1579 | + | 19.6241i | 1.26762 | + | 0.915977i | ||||
\(460\) | −2.46641 | − | 4.90777i | −0.114997 | − | 0.228826i | ||||
\(461\) | 18.4051 | − | 31.8785i | 0.857209 | − | 1.48473i | −0.0173713 | − | 0.999849i | \(-0.505530\pi\) |
0.874580 | − | 0.484881i | \(-0.161137\pi\) | |||||||
\(462\) | −15.3014 | + | 11.8862i | −0.711887 | + | 0.552994i | ||||
\(463\) | 29.5910 | − | 17.0844i | 1.37521 | − | 0.793977i | 0.383631 | − | 0.923486i | \(-0.374673\pi\) |
0.991578 | + | 0.129509i | \(0.0413401\pi\) | |||||||
\(464\) | 22.6871 | − | 9.80057i | 1.05322 | − | 0.454980i | ||||
\(465\) | 2.66133 | + | 18.8185i | 0.123416 | + | 0.872688i | ||||
\(466\) | 10.1891 | − | 34.0504i | 0.472000 | − | 1.57735i | ||||
\(467\) | 29.6445 | + | 17.1153i | 1.37178 | + | 0.791999i | 0.991153 | − | 0.132728i | \(-0.0423736\pi\) |
0.380631 | + | 0.924727i | \(0.375707\pi\) | |||||||
\(468\) | 19.2078 | − | 17.7746i | 0.887881 | − | 0.821633i | ||||
\(469\) | −10.1589 | + | 10.6864i | −0.469094 | + | 0.493454i | ||||
\(470\) | 5.28842 | + | 5.60391i | 0.243937 | + | 0.258489i | ||||
\(471\) | 0.699078 | + | 4.94325i | 0.0322118 | + | 0.227773i | ||||
\(472\) | −18.3724 | + | 3.24710i | −0.845659 | + | 0.149460i | ||||
\(473\) | 9.68955 | − | 16.7828i | 0.445526 | − | 0.771674i | ||||
\(474\) | −2.23627 | + | 14.7699i | −0.102715 | + | 0.678403i | ||||
\(475\) | −2.29727 | − | 1.32633i | −0.105406 | − | 0.0608562i | ||||
\(476\) | 24.9009 | − | 23.3277i | 1.14133 | − | 1.06922i | ||||
\(477\) | 5.18621 | + | 17.9694i | 0.237460 | + | 0.822762i | ||||
\(478\) | −9.87981 | + | 9.32360i | −0.451892 | + | 0.426452i | ||||
\(479\) | −32.5963 | −1.48936 | −0.744682 | − | 0.667419i | \(-0.767399\pi\) | ||||
−0.744682 | + | 0.667419i | \(0.767399\pi\) | |||||||
\(480\) | 3.23246 | + | 12.2741i | 0.147541 | + | 0.560234i | ||||
\(481\) | − | 20.8553i | − | 0.950918i | ||||||
\(482\) | −5.97542 | − | 25.1974i | −0.272173 | − | 1.14771i | ||||
\(483\) | −4.02865 | − | 8.84042i | −0.183310 | − | 0.402253i | ||||
\(484\) | −3.68405 | + | 1.85142i | −0.167457 | + | 0.0841557i | ||||
\(485\) | −20.0598 | − | 11.5815i | −0.910868 | − | 0.525890i | ||||
\(486\) | −20.2034 | + | 8.82166i | −0.916446 | + | 0.400159i | ||||
\(487\) | −3.06210 | + | 1.76790i | −0.138757 | + | 0.0801114i | −0.567771 | − | 0.823186i | \(-0.692194\pi\) |
0.429014 | + | 0.903298i | \(0.358861\pi\) | |||||||
\(488\) | 25.3847 | + | 9.22783i | 1.14911 | + | 0.417724i | ||||
\(489\) | 0.516517 | + | 3.65235i | 0.0233577 | + | 0.165165i | ||||
\(490\) | 12.4561 | + | 3.05022i | 0.562711 | + | 0.137795i | ||||
\(491\) | −10.5476 | − | 18.2690i | −0.476006 | − | 0.824466i | 0.523616 | − | 0.851954i | \(-0.324583\pi\) |
−0.999622 | + | 0.0274879i | \(0.991249\pi\) | |||||||
\(492\) | −2.79813 | − | 33.8080i | −0.126149 | − | 1.52418i | ||||
\(493\) | 39.8397 | 1.79429 | ||||||||
\(494\) | −1.13659 | − | 4.79282i | −0.0511377 | − | 0.215639i | ||||
\(495\) | 2.79143 | − | 11.2787i | 0.125465 | − | 0.506939i | ||||
\(496\) | 13.4365 | + | 31.1039i | 0.603317 | + | 1.39660i | ||||
\(497\) | −9.38024 | + | 38.9210i | −0.420761 | + | 1.74584i | ||||
\(498\) | 18.2807 | − | 7.16061i | 0.819180 | − | 0.320874i | ||||
\(499\) | 38.0133 | 1.70171 | 0.850854 | − | 0.525402i | \(-0.176085\pi\) | ||||
0.850854 | + | 0.525402i | \(0.176085\pi\) | |||||||
\(500\) | 19.2649 | − | 9.68160i | 0.861552 | − | 0.432974i | ||||
\(501\) | −1.95911 | − | 0.789567i | −0.0875267 | − | 0.0352753i | ||||
\(502\) | 1.92862 | + | 8.13268i | 0.0860786 | + | 0.362979i | ||||
\(503\) | −11.2166 | −0.500124 | −0.250062 | − | 0.968230i | \(-0.580451\pi\) | ||||
−0.250062 | + | 0.968230i | \(0.580451\pi\) | |||||||
\(504\) | 4.88637 | + | 21.9117i | 0.217656 | + | 0.976026i | ||||
\(505\) | −8.04832 | −0.358145 | ||||||||
\(506\) | 2.06831 | + | 8.72173i | 0.0919477 | + | 0.387728i | ||||
\(507\) | −1.46112 | − | 10.3317i | −0.0648905 | − | 0.458847i | ||||
\(508\) | −15.9582 | − | 31.7544i | −0.708031 | − | 1.40887i | ||||
\(509\) | 6.21583 | 0.275512 | 0.137756 | − | 0.990466i | \(-0.456011\pi\) | ||||
0.137756 | + | 0.990466i | \(0.456011\pi\) | |||||||
\(510\) | −3.06308 | + | 20.2307i | −0.135636 | + | 0.895831i | ||||
\(511\) | 38.7146 | − | 11.4308i | 1.71263 | − | 0.505670i | ||||
\(512\) | 11.3371 | + | 19.5824i | 0.501035 | + | 0.865427i | ||||
\(513\) | −0.423047 | + | 4.12777i | −0.0186780 | + | 0.182245i | ||||
\(514\) | −2.52542 | − | 10.6493i | −0.111392 | − | 0.469720i | ||||
\(515\) | 1.38340 | 0.0609601 | ||||||||
\(516\) | −12.7927 | − | 18.4534i | −0.563166 | − | 0.812366i | ||||
\(517\) | −6.28721 | − | 10.8898i | −0.276511 | − | 0.478932i | ||||
\(518\) | 15.4609 | + | 9.00185i | 0.679314 | + | 0.395518i | ||||
\(519\) | −17.0920 | − | 6.88846i | −0.750254 | − | 0.302370i | ||||
\(520\) | 15.0198 | + | 5.45999i | 0.658663 | + | 0.239436i | ||||
\(521\) | −12.4039 | + | 7.16139i | −0.543424 | + | 0.313746i | −0.746466 | − | 0.665424i | \(-0.768251\pi\) |
0.203041 | + | 0.979170i | \(0.434917\pi\) | |||||||
\(522\) | −13.3276 | + | 22.5716i | −0.583335 | + | 0.987931i | ||||
\(523\) | 17.4171 | + | 10.0558i | 0.761597 | + | 0.439708i | 0.829869 | − | 0.557959i | \(-0.188415\pi\) |
−0.0682722 | + | 0.997667i | \(0.521749\pi\) | |||||||
\(524\) | −9.48698 | − | 18.8776i | −0.414441 | − | 0.824673i | ||||
\(525\) | 13.8521 | − | 6.31251i | 0.604554 | − | 0.275500i | ||||
\(526\) | 4.42757 | + | 18.6703i | 0.193051 | + | 0.814065i | ||||
\(527\) | 54.6198i | 2.37928i | ||||||||
\(528\) | −0.510848 | − | 20.7071i | −0.0222318 | − | 0.901161i | ||||
\(529\) | 18.5056 | 0.804590 | ||||||||
\(530\) | −8.30654 | + | 7.83890i | −0.360813 | + | 0.340500i | ||||
\(531\) | 13.7219 | − | 14.2586i | 0.595482 | − | 0.618772i | ||||
\(532\) | 4.04372 | + | 1.22614i | 0.175318 | + | 0.0531600i | ||||
\(533\) | −36.9910 | − | 21.3568i | −1.60226 | − | 0.925065i | ||||
\(534\) | −7.50749 | + | 2.94070i | −0.324881 | + | 0.127256i | ||||
\(535\) | −5.22200 | + | 9.04477i | −0.225767 | + | 0.391040i | ||||
\(536\) | −2.74334 | − | 15.5221i | −0.118494 | − | 0.670452i | ||||
\(537\) | 14.1694 | + | 5.71061i | 0.611456 | + | 0.246431i | ||||
\(538\) | 3.33826 | + | 3.53741i | 0.143923 | + | 0.152509i | ||||
\(539\) | −18.6303 | − | 9.53386i | −0.802465 | − | 0.410653i | ||||
\(540\) | −10.4372 | − | 8.50324i | −0.449146 | − | 0.365921i | ||||
\(541\) | 23.7198 | + | 13.6947i | 1.01980 | + | 0.588779i | 0.914045 | − | 0.405614i | \(-0.132942\pi\) |
0.105751 | + | 0.994393i | \(0.466275\pi\) | |||||||
\(542\) | −1.00286 | + | 3.35139i | −0.0430764 | + | 0.143955i | ||||
\(543\) | 0.777944 | − | 0.608878i | 0.0333848 | − | 0.0261295i | ||||
\(544\) | 4.25876 | + | 36.2273i | 0.182593 | + | 1.55323i | ||||
\(545\) | −2.93831 | + | 1.69643i | −0.125863 | + | 0.0726672i | ||||
\(546\) | 26.1791 | + | 10.6621i | 1.12036 | + | 0.456296i | ||||
\(547\) | 11.4035 | − | 19.7514i | 0.487578 | − | 0.844510i | −0.512320 | − | 0.858795i | \(-0.671214\pi\) |
0.999898 | + | 0.0142849i | \(0.00454719\pi\) | |||||||
\(548\) | 7.33851 | − | 3.68798i | 0.313486 | − | 0.157543i | ||||
\(549\) | −27.5249 | + | 7.94407i | −1.17473 | + | 0.339044i | ||||
\(550\) | −13.6661 | + | 3.24084i | −0.582725 | + | 0.138190i | ||||
\(551\) | 2.46687 | + | 4.27274i | 0.105092 | + | 0.182025i | ||||
\(552\) | 10.1616 | + | 2.14653i | 0.432508 | + | 0.0913624i | ||||
\(553\) | −15.4747 | + | 4.56904i | −0.658051 | + | 0.194295i | ||||
\(554\) | −9.46275 | − | 39.9028i | −0.402034 | − | 1.69531i | ||||
\(555\) | −10.6228 | + | 1.50228i | −0.450911 | + | 0.0637681i | ||||
\(556\) | −6.91895 | + | 10.5258i | −0.293429 | + | 0.446395i | ||||
\(557\) | −33.6484 | + | 19.4269i | −1.42573 | + | 0.823145i | −0.996780 | − | 0.0801838i | \(-0.974449\pi\) |
−0.428949 | + | 0.903329i | \(0.641116\pi\) | |||||||
\(558\) | −30.9454 | − | 18.2721i | −1.31002 | − | 0.773518i | ||||
\(559\) | −28.2721 | −1.19578 | ||||||||
\(560\) | −10.5308 | + | 8.77813i | −0.445007 | + | 0.370944i | ||||
\(561\) | 12.4819 | − | 30.9706i | 0.526985 | − | 1.30758i | ||||
\(562\) | −10.2229 | + | 34.1635i | −0.431228 | + | 1.44110i | ||||
\(563\) | 20.9471 | + | 12.0938i | 0.882817 | + | 0.509694i | 0.871586 | − | 0.490243i | \(-0.163092\pi\) |
0.0112305 | + | 0.999937i | \(0.496425\pi\) | |||||||
\(564\) | −14.5200 | + | 1.20175i | −0.611400 | + | 0.0506028i | ||||
\(565\) | 2.73303 | + | 4.73375i | 0.114980 | + | 0.199150i | ||||
\(566\) | 3.64186 | + | 1.08977i | 0.153079 | + | 0.0458066i | ||||
\(567\) | −17.8745 | − | 15.7322i | −0.750658 | − | 0.660691i | ||||
\(568\) | −27.5241 | − | 32.7754i | −1.15489 | − | 1.37523i | ||||
\(569\) | 15.1973 | + | 26.3225i | 0.637105 | + | 1.10350i | 0.986065 | + | 0.166360i | \(0.0532014\pi\) |
−0.348961 | + | 0.937137i | \(0.613465\pi\) | |||||||
\(570\) | −2.35938 | + | 0.924174i | −0.0988236 | + | 0.0387094i | ||||
\(571\) | −17.0302 | + | 29.4971i | −0.712690 | + | 1.23442i | 0.251154 | + | 0.967947i | \(0.419190\pi\) |
−0.963844 | + | 0.266468i | \(0.914143\pi\) | |||||||
\(572\) | −21.7938 | − | 14.3257i | −0.911243 | − | 0.598987i | ||||
\(573\) | 0.744124 | − | 1.84636i | 0.0310862 | − | 0.0771326i | ||||
\(574\) | 31.7993 | − | 18.2047i | 1.32728 | − | 0.759852i | ||||
\(575\) | − | 7.04234i | − | 0.293686i | ||||||
\(576\) | −21.9496 | − | 9.70634i | −0.914569 | − | 0.404431i | ||||
\(577\) | −6.11735 | + | 3.53185i | −0.254668 | + | 0.147033i | −0.621900 | − | 0.783097i | \(-0.713639\pi\) |
0.367232 | + | 0.930130i | \(0.380306\pi\) | |||||||
\(578\) | −9.96519 | + | 33.3021i | −0.414497 | + | 1.38519i | ||||
\(579\) | 2.54305 | + | 17.9822i | 0.105686 | + | 0.747313i | ||||
\(580\) | −15.9805 | − | 0.926500i | −0.663556 | − | 0.0384708i | ||||
\(581\) | 15.3696 | + | 14.6109i | 0.637639 | + | 0.606162i | ||||
\(582\) | 40.7812 | − | 15.9741i | 1.69044 | − | 0.662147i | ||||
\(583\) | 16.1416 | − | 9.31938i | 0.668519 | − | 0.385969i | ||||
\(584\) | −14.7434 | + | 40.5574i | −0.610085 | + | 1.67828i | ||||
\(585\) | −16.2861 | + | 4.70040i | −0.673349 | + | 0.194338i | ||||
\(586\) | 18.9303 | + | 20.0596i | 0.782004 | + | 0.828656i | ||||
\(587\) | −6.20896 | − | 3.58474i | −0.256271 | − | 0.147958i | 0.366361 | − | 0.930473i | \(-0.380603\pi\) |
−0.622632 | + | 0.782514i | \(0.713937\pi\) | |||||||
\(588\) | −19.2041 | + | 14.8055i | −0.791962 | + | 0.610570i | ||||
\(589\) | −5.85790 | + | 3.38206i | −0.241370 | + | 0.139355i | ||||
\(590\) | 11.5774 | + | 3.46436i | 0.476632 | + | 0.142625i | ||||
\(591\) | 3.23313 | + | 4.13087i | 0.132993 | + | 0.169921i | ||||
\(592\) | −17.5576 | + | 7.58469i | −0.721614 | + | 0.311729i | ||||
\(593\) | 15.4594 | + | 8.92547i | 0.634840 | + | 0.366525i | 0.782624 | − | 0.622494i | \(-0.213881\pi\) |
−0.147784 | + | 0.989020i | \(0.547214\pi\) | |||||||
\(594\) | 13.3711 | + | 17.4324i | 0.548625 | + | 0.715260i | ||||
\(595\) | −21.1961 | + | 6.25834i | −0.868955 | + | 0.256567i | ||||
\(596\) | 12.8008 | + | 25.4717i | 0.524343 | + | 1.04336i | ||||
\(597\) | −18.6528 | − | 7.51752i | −0.763409 | − | 0.307672i | ||||
\(598\) | 9.51066 | − | 8.97523i | 0.388920 | − | 0.367024i | ||||
\(599\) | −35.7198 | − | 20.6229i | −1.45947 | − | 0.842627i | −0.460488 | − | 0.887666i | \(-0.652326\pi\) |
−0.998985 | + | 0.0450388i | \(0.985659\pi\) | |||||||
\(600\) | −3.36340 | + | 15.9223i | −0.137310 | + | 0.650025i | ||||
\(601\) | 9.40261 | + | 5.42860i | 0.383541 | + | 0.221437i | 0.679358 | − | 0.733807i | \(-0.262259\pi\) |
−0.295817 | + | 0.955245i | \(0.595592\pi\) | |||||||
\(602\) | 12.2032 | − | 20.9593i | 0.497365 | − | 0.854238i | ||||
\(603\) | 12.0465 | + | 11.5931i | 0.490572 | + | 0.472107i | ||||
\(604\) | 4.25462 | + | 8.46604i | 0.173118 | + | 0.344478i | ||||
\(605\) | 2.67061 | 0.108576 | ||||||||
\(606\) | 9.49636 | − | 11.8918i | 0.385763 | − | 0.483071i | ||||
\(607\) | −30.1147 | −1.22232 | −0.611158 | − | 0.791509i | \(-0.709296\pi\) | ||||
−0.611158 | + | 0.791509i | \(0.709296\pi\) | |||||||
\(608\) | −3.62162 | + | 2.69994i | −0.146876 | + | 0.109497i | ||||
\(609\) | −28.1825 | − | 2.71409i | −1.14201 | − | 0.109981i | ||||
\(610\) | −12.0074 | − | 12.7237i | −0.486164 | − | 0.515167i | ||||
\(611\) | −9.17238 | + | 15.8870i | −0.371075 | + | 0.642721i | ||||
\(612\) | −26.2777 | − | 28.3964i | −1.06221 | − | 1.14786i | ||||
\(613\) | 33.5461 | − | 19.3678i | 1.35491 | − | 0.782260i | 0.365981 | − | 0.930622i | \(-0.380734\pi\) |
0.988933 | + | 0.148362i | \(0.0474002\pi\) | |||||||
\(614\) | −5.65362 | − | 23.8404i | −0.228162 | − | 0.962120i | ||||
\(615\) | −8.21361 | + | 20.3800i | −0.331205 | + | 0.821801i | ||||
\(616\) | 20.0272 | − | 9.97321i | 0.806918 | − | 0.401832i | ||||
\(617\) | 9.27415 | + | 16.0633i | 0.373363 | + | 0.646684i | 0.990081 | − | 0.140501i | \(-0.0448712\pi\) |
−0.616717 | + | 0.787185i | \(0.711538\pi\) | |||||||
\(618\) | −1.63230 | + | 2.04405i | −0.0656609 | + | 0.0822236i | ||||
\(619\) | − | 22.3298i | − | 0.897512i | −0.893654 | − | 0.448756i | \(-0.851867\pi\) | ||
0.893654 | − | 0.448756i | \(-0.148133\pi\) | |||||||
\(620\) | 1.27022 | − | 21.9092i | 0.0510134 | − | 0.879894i | ||||
\(621\) | −10.0519 | + | 4.50659i | −0.403368 | + | 0.180843i | ||||
\(622\) | 3.99014 | − | 13.3344i | 0.159990 | − | 0.534662i | ||||
\(623\) | −6.31196 | − | 6.00036i | −0.252883 | − | 0.240399i | ||||
\(624\) | −25.7896 | + | 15.7502i | −1.03241 | + | 0.630512i | ||||
\(625\) | 2.64390 | 0.105756 | ||||||||
\(626\) | −25.8017 | + | 24.3492i | −1.03124 | + | 0.973188i | ||||
\(627\) | 4.09443 | − | 0.579038i | 0.163516 | − | 0.0231245i | ||||
\(628\) | 0.333663 | − | 5.75511i | 0.0133146 | − | 0.229654i | ||||
\(629\) | −30.8320 | −1.22935 | ||||||||
\(630\) | 3.54504 | − | 14.1025i | 0.141238 | − | 0.561856i | ||||
\(631\) | 2.58700i | 0.102987i | 0.998673 | + | 0.0514935i | \(0.0163981\pi\) | ||||
−0.998673 | + | 0.0514935i | \(0.983602\pi\) | |||||||
\(632\) | 5.89310 | − | 16.2113i | 0.234415 | − | 0.644850i | ||||
\(633\) | 17.3568 | + | 6.99519i | 0.689870 | + | 0.278034i | ||||
\(634\) | −18.6010 | + | 17.5538i | −0.738738 | + | 0.697149i | ||||
\(635\) | 23.0191i | 0.913485i | ||||||||
\(636\) | −1.78132 | − | 21.5226i | −0.0706341 | − | 0.853426i | ||||
\(637\) | 1.54438 | + | 30.4928i | 0.0611908 | + | 1.20817i | ||||
\(638\) | 25.0264 | + | 7.48879i | 0.990804 | + | 0.296484i | ||||
\(639\) | 44.0663 | + | 10.9062i | 1.74323 | + | 0.431444i | ||||
\(640\) | −0.865787 | − | 14.6306i | −0.0342232 | − | 0.578325i | ||||
\(641\) | 4.82382 | 0.190529 | 0.0952647 | − | 0.995452i | \(-0.469630\pi\) | ||||
0.0952647 | + | 0.995452i | \(0.469630\pi\) | |||||||
\(642\) | −7.20256 | − | 18.3879i | −0.284262 | − | 0.725711i | ||||
\(643\) | 3.81298 | − | 2.20143i | 0.150369 | − | 0.0868157i | −0.422928 | − | 0.906163i | \(-0.638998\pi\) |
0.573297 | + | 0.819348i | \(0.305664\pi\) | |||||||
\(644\) | 2.54860 | + | 10.9247i | 0.100429 | + | 0.430493i | ||||
\(645\) | 2.03654 | + | 14.4005i | 0.0801885 | + | 0.567021i | ||||
\(646\) | −7.08562 | + | 1.68032i | −0.278780 | + | 0.0661112i | ||||
\(647\) | −15.1554 | − | 26.2500i | −0.595821 | − | 1.03199i | −0.993430 | − | 0.114438i | \(-0.963493\pi\) |
0.397609 | − | 0.917555i | \(-0.369840\pi\) | |||||||
\(648\) | 24.8790 | − | 5.38838i | 0.977340 | − | 0.211675i | ||||
\(649\) | −17.0790 | − | 9.86056i | −0.670409 | − | 0.387061i | ||||
\(650\) | 14.0633 | + | 14.9023i | 0.551609 | + | 0.584516i | ||||
\(651\) | 3.72100 | − | 38.6379i | 0.145837 | − | 1.51434i | ||||
\(652\) | 0.246528 | − | 4.25219i | 0.00965479 | − | 0.166529i | ||||
\(653\) | 36.4315i | 1.42568i | 0.701329 | + | 0.712838i | \(0.252590\pi\) | ||||
−0.701329 | + | 0.712838i | \(0.747410\pi\) | |||||||
\(654\) | 0.960400 | − | 6.34314i | 0.0375546 | − | 0.248037i | ||||
\(655\) | 13.6846i | 0.534701i | ||||||||
\(656\) | −4.52687 | + | 38.9091i | −0.176744 | + | 1.51915i | ||||
\(657\) | −12.6923 | − | 43.9768i | −0.495174 | − | 1.71570i | ||||
\(658\) | −7.81864 | − | 13.6573i | −0.304802 | − | 0.532416i | ||||
\(659\) | 16.3106 | − | 28.2508i | 0.635371 | − | 1.10049i | −0.351066 | − | 0.936351i | \(-0.614181\pi\) |
0.986436 | − | 0.164144i | \(-0.0524860\pi\) | |||||||
\(660\) | −5.72699 | + | 12.1327i | −0.222923 | + | 0.472265i | ||||
\(661\) | 19.0448 | − | 32.9865i | 0.740755 | − | 1.28303i | −0.211397 | − | 0.977400i | \(-0.567801\pi\) |
0.952152 | − | 0.305625i | \(-0.0988654\pi\) | |||||||
\(662\) | 26.5620 | + | 28.1466i | 1.03236 | + | 1.09395i | ||||
\(663\) | −48.2344 | + | 6.82135i | −1.87327 | + | 0.264919i | ||||
\(664\) | −22.3244 | + | 3.94557i | −0.866355 | + | 0.153118i | ||||
\(665\) | −1.98366 | − | 1.88573i | −0.0769230 | − | 0.0731257i | ||||
\(666\) | 10.3143 | − | 17.4682i | 0.399671 | − | 0.676879i | ||||
\(667\) | −6.54910 | + | 11.3434i | −0.253582 | + | 0.439217i | ||||
\(668\) | 2.03811 | + | 1.33971i | 0.0788568 | + | 0.0518349i | ||||
\(669\) | −4.36133 | − | 30.8394i | −0.168619 | − | 1.19232i | ||||
\(670\) | −2.92689 | + | 9.78122i | −0.113076 | + | 0.377881i | ||||
\(671\) | 14.2751 | + | 24.7252i | 0.551085 | + | 0.954507i | ||||
\(672\) | −0.544636 | − | 25.9172i | −0.0210098 | − | 0.999779i | ||||
\(673\) | −1.64553 | + | 2.85014i | −0.0634305 | + | 0.109865i | −0.895997 | − | 0.444061i | \(-0.853537\pi\) |
0.832566 | + | 0.553926i | \(0.186871\pi\) | |||||||
\(674\) | −18.2792 | − | 19.3697i | −0.704088 | − | 0.746092i | ||||
\(675\) | −7.06140 | − | 15.7503i | −0.271793 | − | 0.606230i | ||||
\(676\) | −0.697376 | + | 12.0285i | −0.0268222 | + | 0.462636i | ||||
\(677\) | 23.9808 | + | 41.5360i | 0.921658 | + | 1.59636i | 0.796849 | + | 0.604178i | \(0.206499\pi\) |
0.124809 | + | 0.992181i | \(0.460168\pi\) | |||||||
\(678\) | −10.2191 | − | 1.54725i | −0.392462 | − | 0.0594218i | ||||
\(679\) | 34.2870 | + | 32.5944i | 1.31581 | + | 1.25086i | ||||
\(680\) | 8.07194 | − | 22.2050i | 0.309545 | − | 0.851523i | ||||
\(681\) | 14.0942 | + | 18.0078i | 0.540092 | + | 0.690059i | ||||
\(682\) | −10.2671 | + | 34.3110i | −0.393146 | + | 1.31384i | ||||
\(683\) | −6.42001 | − | 11.1198i | −0.245655 | − | 0.425487i | 0.716661 | − | 0.697422i | \(-0.245670\pi\) |
−0.962316 | + | 0.271935i | \(0.912336\pi\) | |||||||
\(684\) | 1.41836 | − | 4.57655i | 0.0542325 | − | 0.174989i | ||||
\(685\) | −5.31977 | −0.203258 | ||||||||
\(686\) | −23.2722 | − | 12.0168i | −0.888538 | − | 0.458804i | ||||
\(687\) | 3.56992 | − | 2.79409i | 0.136201 | − | 0.106601i | ||||
\(688\) | 10.2821 | + | 23.8017i | 0.392000 | + | 0.907431i | ||||
\(689\) | −23.5490 | − | 13.5960i | −0.897144 | − | 0.517966i | ||||
\(690\) | −5.25667 | − | 4.19779i | −0.200118 | − | 0.159807i | ||||
\(691\) | −17.5881 | + | 10.1545i | −0.669081 | + | 0.386294i | −0.795728 | − | 0.605654i | \(-0.792912\pi\) |
0.126647 | + | 0.991948i | \(0.459578\pi\) | |||||||
\(692\) | 17.7812 | + | 11.6881i | 0.675939 | + | 0.444315i | ||||
\(693\) | −10.9395 | + | 21.0582i | −0.415559 | + | 0.799936i | ||||
\(694\) | −8.84260 | + | 29.5506i | −0.335660 | + | 1.12173i | ||||
\(695\) | 7.06573 | − | 4.07940i | 0.268018 | − | 0.154741i | ||||
\(696\) | 20.2247 | − | 22.5188i | 0.766614 | − | 0.853574i | ||||
\(697\) | −31.5735 | + | 54.6868i | −1.19593 | + | 2.07141i | ||||
\(698\) | −8.22660 | + | 27.4920i | −0.311381 | + | 1.04059i | ||||
\(699\) | −6.09540 | − | 43.1012i | −0.230549 | − | 1.63024i | ||||
\(700\) | −17.1179 | + | 3.99342i | −0.646997 | + | 0.150937i | ||||
\(701\) | − | 17.9424i | − | 0.677676i | −0.940845 | − | 0.338838i | \(-0.889966\pi\) | ||
0.940845 | − | 0.338838i | \(-0.110034\pi\) | |||||||
\(702\) | 12.2712 | − | 29.6097i | 0.463148 | − | 1.11754i | ||||
\(703\) | −1.90912 | − | 3.30669i | −0.0720038 | − | 0.124714i | ||||
\(704\) | −4.13451 | + | 23.5577i | −0.155825 | + | 0.887865i | ||||
\(705\) | 8.75287 | + | 3.52761i | 0.329652 | + | 0.132857i | ||||
\(706\) | 6.79383 | + | 28.6485i | 0.255689 | + | 1.07820i | ||||
\(707\) | 15.9800 | + | 3.85131i | 0.600992 | + | 0.144843i | ||||
\(708\) | −18.7791 | + | 13.0185i | −0.705761 | + | 0.489263i | ||||
\(709\) | −9.74153 | + | 5.62428i | −0.365851 | + | 0.211224i | −0.671644 | − | 0.740874i | \(-0.734412\pi\) |
0.305793 | + | 0.952098i | \(0.401078\pi\) | |||||||
\(710\) | 6.39673 | + | 26.9740i | 0.240065 | + | 1.01231i | ||||
\(711\) | 5.07326 | + | 17.5780i | 0.190262 | + | 0.659228i | ||||
\(712\) | 9.16813 | − | 1.62036i | 0.343590 | − | 0.0607254i | ||||
\(713\) | −15.5517 | − | 8.97876i | −0.582414 | − | 0.336257i | ||||
\(714\) | 15.7627 | − | 38.7026i | 0.589903 | − | 1.44841i | ||||
\(715\) | 8.44641 | + | 14.6296i | 0.315878 | + | 0.547116i | ||||
\(716\) | −14.7408 | − | 9.68956i | −0.550889 | − | 0.362116i | ||||
\(717\) | −6.21925 | + | 15.4315i | −0.232262 | + | 0.576300i | ||||
\(718\) | 18.7255 | + | 5.60335i | 0.698831 | + | 0.209115i | ||||
\(719\) | −6.01899 | + | 10.4252i | −0.224471 | + | 0.388795i | −0.956160 | − | 0.292843i | \(-0.905399\pi\) |
0.731690 | + | 0.681638i | \(0.238732\pi\) | |||||||
\(720\) | 9.88016 | + | 12.0015i | 0.368212 | + | 0.447270i | ||||
\(721\) | −2.74677 | − | 0.661991i | −0.102295 | − | 0.0246538i | ||||
\(722\) | 17.8230 | + | 18.8862i | 0.663303 | + | 0.702873i | ||||
\(723\) | −19.5480 | − | 24.9759i | −0.726998 | − | 0.928862i | ||||
\(724\) | −1.01925 | + | 0.512225i | −0.0378801 | + | 0.0190367i | ||||
\(725\) | −17.7740 | − | 10.2618i | −0.660109 | − | 0.381114i | ||||
\(726\) | −3.15110 | + | 3.94595i | −0.116948 | + | 0.146448i | ||||
\(727\) | −10.5009 | + | 18.1880i | −0.389456 | + | 0.674557i | −0.992376 | − | 0.123244i | \(-0.960670\pi\) |
0.602921 | + | 0.797801i | \(0.294004\pi\) | |||||||
\(728\) | −27.2093 | − | 18.0282i | −1.00844 | − | 0.668170i | ||||
\(729\) | −17.9624 | + | 20.1582i | −0.665275 | + | 0.746599i | ||||
\(730\) | 20.3287 | − | 19.1843i | 0.752399 | − | 0.710041i | ||||
\(731\) | 41.7969i | 1.54591i | ||||||||
\(732\) | 32.9676 | − | 2.72857i | 1.21852 | − | 0.100851i | ||||
\(733\) | 40.1301 | 1.48224 | 0.741120 | − | 0.671372i | \(-0.234295\pi\) | ||||
0.741120 | + | 0.671372i | \(0.234295\pi\) | |||||||
\(734\) | 8.16195 | − | 1.93556i | 0.301263 | − | 0.0714429i | ||||
\(735\) | 15.4204 | − | 2.98314i | 0.568791 | − | 0.110035i | ||||
\(736\) | −11.0149 | − | 4.74270i | −0.406015 | − | 0.174818i | ||||
\(737\) | 8.33077 | − | 14.4293i | 0.306868 | − | 0.531511i | ||||
\(738\) | −20.4211 | − | 36.1828i | −0.751710 | − | 1.33191i | ||||
\(739\) | 12.4121 | + | 21.4984i | 0.456587 | + | 0.790832i | 0.998778 | − | 0.0494232i | \(-0.0157383\pi\) |
−0.542191 | + | 0.840255i | \(0.682405\pi\) | |||||||
\(740\) | 12.3674 | + | 0.717021i | 0.454634 | + | 0.0263582i | ||||
\(741\) | −3.71825 | − | 4.75069i | −0.136593 | − | 0.174521i | ||||
\(742\) | 20.2438 | − | 11.5894i | 0.743175 | − | 0.425459i | ||||
\(743\) | 43.1285 | − | 24.9002i | 1.58223 | − | 0.913501i | 0.587697 | − | 0.809081i | \(-0.300035\pi\) |
0.994533 | − | 0.104419i | \(-0.0332984\pi\) | |||||||
\(744\) | 30.8731 | + | 27.7279i | 1.13186 | + | 1.01655i | ||||
\(745\) | − | 18.4647i | − | 0.676495i | ||||||
\(746\) | 4.62559 | + | 19.5054i | 0.169355 | + | 0.714142i | ||||
\(747\) | 16.6736 | − | 17.3257i | 0.610055 | − | 0.633916i | ||||
\(748\) | −21.1788 | + | 32.2195i | −0.774374 | + | 1.17806i | ||||
\(749\) | 14.6965 | − | 15.4597i | 0.536998 | − | 0.564884i | ||||
\(750\) | 16.4780 | − | 20.6345i | 0.601690 | − | 0.753464i | ||||
\(751\) | − | 39.4233i | − | 1.43858i | −0.694712 | − | 0.719288i | \(-0.744468\pi\) | ||
0.694712 | − | 0.719288i | \(-0.255532\pi\) | |||||||
\(752\) | 16.7108 | + | 1.94421i | 0.609380 | + | 0.0708981i | ||||
\(753\) | 6.30930 | + | 8.06119i | 0.229924 | + | 0.293766i | ||||
\(754\) | −8.79381 | − | 37.0820i | −0.320251 | − | 1.35045i | ||||
\(755\) | − | 6.13713i | − | 0.223353i | ||||||
\(756\) | 16.6542 | + | 21.8778i | 0.605709 | + | 0.795686i | ||||
\(757\) | − | 6.93533i | − | 0.252069i | −0.992026 | − | 0.126034i | \(-0.959775\pi\) | ||
0.992026 | − | 0.126034i | \(-0.0402250\pi\) | |||||||
\(758\) | −7.56791 | + | 1.79469i | −0.274879 | + | 0.0651861i | ||||
\(759\) | 6.76628 | + | 8.64506i | 0.245600 | + | 0.313796i | ||||
\(760\) | 2.88127 | − | 0.509230i | 0.104515 | − | 0.0184717i | ||||
\(761\) | − | 3.63210i | − | 0.131663i | −0.997831 | − | 0.0658317i | \(-0.979030\pi\) | ||
0.997831 | − | 0.0658317i | \(-0.0209700\pi\) | |||||||
\(762\) | −34.0118 | − | 27.1606i | −1.23212 | − | 0.983926i | ||||
\(763\) | 6.64583 | − | 1.96224i | 0.240595 | − | 0.0710379i | ||||
\(764\) | −1.26260 | + | 1.92081i | −0.0456794 | + | 0.0694924i | ||||
\(765\) | 6.94899 | + | 24.0771i | 0.251241 | + | 0.870510i | ||||
\(766\) | 6.40369 | − | 1.51860i | 0.231375 | − | 0.0548693i | ||||
\(767\) | 28.7710i | 1.03886i | ||||||||
\(768\) | 22.6390 | + | 15.9837i | 0.816913 | + | 0.576760i | ||||
\(769\) | −41.0812 | + | 23.7182i | −1.48143 | + | 0.855301i | −0.999778 | − | 0.0210640i | \(-0.993295\pi\) |
−0.481647 | + | 0.876365i | \(0.659961\pi\) | |||||||
\(770\) | −14.4913 | − | 0.0529487i | −0.522231 | − | 0.00190814i | ||||
\(771\) | −8.26168 | − | 10.5557i | −0.297537 | − | 0.380154i | ||||
\(772\) | 1.21377 | − | 20.9355i | 0.0436846 | − | 0.753484i | ||||
\(773\) | 7.94203 | + | 13.7560i | 0.285655 | + | 0.494769i | 0.972768 | − | 0.231782i | \(-0.0744555\pi\) |
−0.687113 | + | 0.726551i | \(0.741122\pi\) | |||||||
\(774\) | −23.6805 | − | 13.9824i | −0.851176 | − | 0.502586i | ||||
\(775\) | 14.0688 | − | 24.3680i | 0.505368 | − | 0.875323i | ||||
\(776\) | −49.8019 | + | 8.80189i | −1.78778 | + | 0.315969i | ||||
\(777\) | 21.8105 | + | 2.10044i | 0.782447 | + | 0.0753530i | ||||
\(778\) | −1.45766 | − | 6.14669i | −0.0522595 | − | 0.220370i | ||||
\(779\) | −7.82011 | −0.280185 | ||||||||
\(780\) | 19.5065 | − | 1.61446i | 0.698444 | − | 0.0578070i | ||||
\(781\) | − | 45.2403i | − | 1.61883i | ||||||
\(782\) | −13.2688 | − | 14.0604i | −0.474492 | − | 0.502798i | ||||
\(783\) | −3.27311 | + | 31.9365i | −0.116971 | + | 1.14132i | ||||
\(784\) | 25.1096 | − | 12.3899i | 0.896771 | − | 0.442495i | ||||
\(785\) | −1.86697 | + | 3.23369i | −0.0666351 | + | 0.115415i | ||||
\(786\) | −20.2197 | − | 16.1467i | −0.721211 | − | 0.575934i | ||||
\(787\) | −11.7154 | − | 6.76386i | −0.417607 | − | 0.241106i | 0.276446 | − | 0.961030i | \(-0.410843\pi\) |
−0.694053 | + | 0.719924i | \(0.744177\pi\) | |||||||
\(788\) | −2.71990 | − | 5.41219i | −0.0968926 | − | 0.192801i | ||||
\(789\) | 14.4844 | + | 18.5062i | 0.515657 | + | 0.658839i | ||||
\(790\) | −8.12563 | + | 7.66818i | −0.289097 | + | 0.272822i | ||||
\(791\) | −3.16126 | − | 10.7067i | −0.112402 | − | 0.380688i | ||||
\(792\) | −11.1693 | − | 22.7775i | −0.396883 | − | 0.809364i | ||||
\(793\) | 20.8259 | − | 36.0715i | 0.739549 | − | 1.28094i | ||||
\(794\) | 9.63149 | − | 32.1870i | 0.341809 | − | 1.14227i | ||||
\(795\) | −5.22889 | + | 12.9742i | −0.185450 | + | 0.460146i | ||||
\(796\) | 19.4050 | + | 12.7555i | 0.687791 | + | 0.452105i | ||||
\(797\) | −2.17106 | − | 3.76039i | −0.0769030 | − | 0.133200i | 0.825009 | − | 0.565119i | \(-0.191170\pi\) |
−0.901912 | + | 0.431919i | \(0.857836\pi\) | |||||||
\(798\) | 5.12682 | − | 0.705941i | 0.181488 | − | 0.0249901i | ||||
\(799\) | 23.4871 | + | 13.5603i | 0.830913 | + | 0.479728i | ||||
\(800\) | 7.43135 | − | 17.2593i | 0.262738 | − | 0.610209i | ||||
\(801\) | −6.84747 | + | 7.11529i | −0.241943 | + | 0.251406i | ||||
\(802\) | 27.1878 | − | 6.44743i | 0.960033 | − | 0.227667i | ||||
\(803\) | −39.5037 | + | 22.8075i | −1.39405 | + | 0.804858i | ||||
\(804\) | −10.9987 | − | 15.8657i | −0.387896 | − | 0.559539i | ||||
\(805\) | 1.70244 | − | 7.06386i | 0.0600032 | − | 0.248968i | ||||
\(806\) | 50.8392 | − | 12.0562i | 1.79073 | − | 0.424663i | ||||
\(807\) | 5.52516 | + | 2.22677i | 0.194495 | + | 0.0783860i | ||||
\(808\) | −13.4568 | + | 11.3008i | −0.473410 | + | 0.397560i | ||||
\(809\) | −7.90455 | − | 13.6911i | −0.277909 | − | 0.481353i | 0.692956 | − | 0.720980i | \(-0.256308\pi\) |
−0.970865 | + | 0.239627i | \(0.922975\pi\) | |||||||
\(810\) | −15.9658 | − | 4.11754i | −0.560981 | − | 0.144676i | ||||
\(811\) | 41.5589i | 1.45933i | 0.683804 | + | 0.729666i | \(0.260324\pi\) | ||||
−0.683804 | + | 0.729666i | \(0.739676\pi\) | |||||||
\(812\) | 31.2862 | + | 9.48664i | 1.09793 | + | 0.332916i | ||||
\(813\) | 0.599938 | + | 4.24222i | 0.0210407 | + | 0.148781i | ||||
\(814\) | −19.3680 | − | 5.79560i | −0.678848 | − | 0.203136i | ||||
\(815\) | −1.37942 | + | 2.38923i | −0.0483190 | + | 0.0836910i | ||||
\(816\) | 23.2848 | + | 38.1268i | 0.815130 | + | 1.33470i | ||||
\(817\) | −4.48265 | + | 2.58806i | −0.156828 | + | 0.0905448i | ||||
\(818\) | 4.27254 | + | 1.27850i | 0.149386 | + | 0.0447016i | ||||
\(819\) | 34.5856 | − | 1.53942i | 1.20852 | − | 0.0537915i | ||||
\(820\) | 13.9366 | − | 21.2018i | 0.486686 | − | 0.740399i | ||||
\(821\) | −44.9450 | + | 25.9490i | −1.56859 | + | 0.905627i | −0.572259 | + | 0.820073i | \(0.693933\pi\) |
−0.996333 | + | 0.0855546i | \(0.972734\pi\) | |||||||
\(822\) | 6.27689 | − | 7.86022i | 0.218932 | − | 0.274157i | ||||
\(823\) | −12.0141 | − | 6.93632i | −0.418784 | − | 0.241785i | 0.275773 | − | 0.961223i | \(-0.411066\pi\) |
−0.694557 | + | 0.719438i | \(0.744400\pi\) | |||||||
\(824\) | 2.31306 | − | 1.94246i | 0.0805792 | − | 0.0676688i | ||||
\(825\) | −13.5460 | + | 10.6021i | −0.471610 | + | 0.369118i | ||||
\(826\) | −21.3292 | − | 12.4186i | −0.742139 | − | 0.432097i | ||||
\(827\) | −31.3188 | −1.08906 | −0.544531 | − | 0.838741i | \(-0.683292\pi\) | ||||
−0.544531 | + | 0.838741i | \(0.683292\pi\) | |||||||
\(828\) | 12.4049 | − | 2.81394i | 0.431100 | − | 0.0977911i | ||||
\(829\) | −7.69392 | − | 13.3263i | −0.267221 | − | 0.462840i | 0.700922 | − | 0.713238i | \(-0.252772\pi\) |
−0.968143 | + | 0.250397i | \(0.919439\pi\) | |||||||
\(830\) | 14.0677 | + | 4.20955i | 0.488297 | + | 0.146116i | ||||
\(831\) | −30.9565 | − | 39.5521i | −1.07387 | − | 1.37205i | ||||
\(832\) | 32.7797 | − | 11.9604i | 1.13643 | − | 0.414653i | ||||
\(833\) | 45.0799 | − | 2.28319i | 1.56193 | − | 0.0791078i | ||||
\(834\) | −2.30947 | + | 15.2533i | −0.0799704 | + | 0.528179i | ||||
\(835\) | −0.789891 | − | 1.36813i | −0.0273353 | − | 0.0473462i | ||||
\(836\) | −4.76688 | − | 0.276369i | −0.164866 | − | 0.00955841i | ||||
\(837\) | −43.7847 | − | 4.48741i | −1.51342 | − | 0.155108i | ||||
\(838\) | −13.6283 | + | 12.8611i | −0.470782 | + | 0.444278i | ||||
\(839\) | 16.1555 | − | 27.9822i | 0.557750 | − | 0.966051i | −0.439934 | − | 0.898030i | \(-0.644998\pi\) |
0.997684 | − | 0.0680211i | \(-0.0216685\pi\) | |||||||
\(840\) | −7.22280 | + | 15.1579i | −0.249210 | + | 0.522996i | ||||
\(841\) | 4.58615 | + | 7.94345i | 0.158143 | + | 0.273912i | ||||
\(842\) | 50.5634 | + | 15.1304i | 1.74253 | + | 0.521427i | ||||
\(843\) | 6.11565 | + | 43.2444i | 0.210634 | + | 1.48941i | ||||
\(844\) | −18.0567 | − | 11.8692i | −0.621536 | − | 0.408554i | ||||
\(845\) | 3.90209 | − | 6.75862i | 0.134236 | − | 0.232504i | ||||
\(846\) | −15.5399 | + | 8.77051i | −0.534272 | + | 0.301536i | ||||
\(847\) | −5.30253 | − | 1.27795i | −0.182197 | − | 0.0439108i | ||||
\(848\) | −2.88186 | + | 24.7700i | −0.0989635 | + | 0.850606i | ||||
\(849\) | 4.60989 | − | 0.651934i | 0.158211 | − | 0.0223743i | ||||
\(850\) | 22.0312 | − | 20.7909i | 0.755666 | − | 0.713123i | ||||
\(851\) | 5.06837 | − | 8.77867i | 0.173741 | − | 0.300929i | ||||
\(852\) | −47.4030 | − | 22.3756i | −1.62400 | − | 0.766575i | ||||
\(853\) | 10.3947 | − | 18.0042i | 0.355908 | − | 0.616451i | −0.631365 | − | 0.775486i | \(-0.717505\pi\) |
0.987273 | + | 0.159035i | \(0.0508382\pi\) | |||||||
\(854\) | 17.7522 | + | 31.0088i | 0.607468 | + | 1.06110i | ||||
\(855\) | −2.15196 | + | 2.23612i | −0.0735953 | + | 0.0764738i | ||||
\(856\) | 3.96869 | + | 22.4552i | 0.135647 | + | 0.767503i | ||||
\(857\) | − | 8.53673i | − | 0.291609i | −0.989313 | − | 0.145805i | \(-0.953423\pi\) | ||
0.989313 | − | 0.145805i | \(-0.0465771\pi\) | |||||||
\(858\) | −31.5820 | − | 4.78176i | −1.07819 | − | 0.163247i | ||||
\(859\) | − | 49.4619i | − | 1.68762i | −0.536643 | − | 0.843809i | \(-0.680308\pi\) | ||
0.536643 | − | 0.843809i | \(-0.319692\pi\) | |||||||
\(860\) | 0.972017 | − | 16.7656i | 0.0331455 | − | 0.571703i | ||||
\(861\) | 26.0606 | − | 36.5344i | 0.888141 | − | 1.24509i | ||||
\(862\) | −28.0945 | + | 26.5128i | −0.956901 | + | 0.903030i | ||||
\(863\) | 0.0464640 | + | 0.0268260i | 0.00158165 | + | 0.000913168i | 0.500791 | − | 0.865568i | \(-0.333043\pi\) |
−0.499209 | + | 0.866482i | \(0.666376\pi\) | |||||||
\(864\) | −29.3906 | + | 0.437598i | −0.999889 | + | 0.0148874i | ||||
\(865\) | −6.89128 | − | 11.9361i | −0.234311 | − | 0.405838i | ||||
\(866\) | −4.37511 | − | 18.4491i | −0.148672 | − | 0.626926i | ||||
\(867\) | 5.96146 | + | 42.1541i | 0.202462 | + | 1.43163i | ||||
\(868\) | −13.0061 | + | 42.8932i | −0.441456 | + | 1.45589i | ||||
\(869\) | 15.7901 | − | 9.11642i | 0.535642 | − | 0.309253i | ||||
\(870\) | −18.2545 | + | 7.15032i | −0.618885 | + | 0.242419i | ||||
\(871\) | −24.3074 | −0.823626 | ||||||||
\(872\) | −2.53088 | + | 6.96217i | −0.0857064 | + | 0.235769i | ||||
\(873\) | 37.1959 | − | 38.6507i | 1.25889 | − | 1.30813i | ||||
\(874\) | 0.686350 | − | 2.29368i | 0.0232161 | − | 0.0775848i | ||||
\(875\) | 27.7284 | + | 6.68274i | 0.937390 | + | 0.225918i | ||||
\(876\) | 4.35946 | + | 52.6725i | 0.147292 | + | 1.77964i | ||||
\(877\) | − | 0.869488i | − | 0.0293605i | −0.999892 | − | 0.0146803i | \(-0.995327\pi\) | ||
0.999892 | − | 0.0146803i | \(-0.00467304\pi\) | |||||||
\(878\) | 0.861196 | + | 0.912571i | 0.0290640 | + | 0.0307978i | ||||
\(879\) | 31.3316 | + | 12.6274i | 1.05679 | + | 0.425910i | ||||
\(880\) | 9.24456 | − | 12.4314i | 0.311634 | − | 0.419062i | ||||
\(881\) | − | 32.9667i | − | 1.11067i | −0.831625 | − | 0.555337i | \(-0.812589\pi\) | ||
0.831625 | − | 0.555337i | \(-0.187411\pi\) | |||||||
\(882\) | −13.7871 | + | 26.3043i | −0.464236 | + | 0.885712i | ||||
\(883\) | −25.2601 | −0.850070 | −0.425035 | − | 0.905177i | \(-0.639738\pi\) | ||||
−0.425035 | + | 0.905177i | \(0.639738\pi\) | |||||||
\(884\) | 56.1562 | + | 3.25576i | 1.88874 | + | 0.109503i | ||||
\(885\) | 14.6547 | − | 2.07248i | 0.492612 | − | 0.0696656i | ||||
\(886\) | 17.3300 | + | 18.3638i | 0.582212 | + | 0.616944i | ||||
\(887\) | −30.0845 | −1.01014 | −0.505070 | − | 0.863079i | \(-0.668533\pi\) | ||||
−0.505070 | + | 0.863079i | \(0.668533\pi\) | |||||||
\(888\) | −15.6519 | + | 17.4274i | −0.525245 | + | 0.584825i | ||||
\(889\) | 11.0152 | − | 45.7047i | 0.369437 | − | 1.53289i | ||||
\(890\) | −5.77728 | − | 1.72877i | −0.193655 | − | 0.0579485i | ||||
\(891\) | 23.8014 | + | 12.5503i | 0.797376 | + | 0.420449i | ||||
\(892\) | −2.08162 | + | 35.9043i | −0.0696977 | + | 1.20217i | ||||
\(893\) | 3.35861i | 0.112392i | ||||||||
\(894\) | 27.2825 | + | 21.7868i | 0.912464 | + | 0.728661i | ||||
\(895\) | 5.71295 | + | 9.89513i | 0.190963 | + | 0.330758i | ||||
\(896\) | −5.28205 | + | 29.4635i | −0.176461 | + | 0.984308i | ||||
\(897\) | 5.98687 | − | 14.8549i | 0.199896 | − | 0.495991i | ||||
\(898\) | 30.5805 | − | 7.25200i | 1.02048 | − | 0.242002i | ||||
\(899\) | −45.3225 | + | 26.1670i | −1.51159 | + | 0.872717i | ||||
\(900\) | 4.40917 | + | 19.4373i | 0.146972 | + | 0.647909i | ||||
\(901\) | −20.1001 | + | 34.8143i | −0.669630 | + | 1.15983i | ||||
\(902\) | −30.1134 | + | 28.4181i | −1.00267 | + | 0.946219i | ||||
\(903\) | 2.84743 | − | 29.5670i | 0.0947565 | − | 0.983929i | ||||
\(904\) | 11.2164 | + | 4.07737i | 0.373051 | + | 0.135611i | ||||
\(905\) | 0.738864 | 0.0245607 | ||||||||
\(906\) | 9.06790 | + | 7.24131i | 0.301261 | + | 0.240576i | ||||
\(907\) | 41.6763 | 1.38384 | 0.691919 | − | 0.721975i | \(-0.256765\pi\) | ||||
0.691919 | + | 0.721975i | \(0.256765\pi\) | |||||||
\(908\) | −11.8569 | − | 23.5934i | −0.393485 | − | 0.782975i | ||||
\(909\) | 4.47784 | − | 18.0926i | 0.148521 | − | 0.600093i | ||||
\(910\) | 10.5038 | + | 18.3475i | 0.348196 | + | 0.608215i | ||||
\(911\) | 36.5098 | + | 21.0789i | 1.20962 | + | 0.698377i | 0.962677 | − | 0.270653i | \(-0.0872395\pi\) |
0.246947 | + | 0.969029i | \(0.420573\pi\) | |||||||
\(912\) | −2.64725 | + | 4.85807i | −0.0876592 | + | 0.160867i | ||||
\(913\) | −20.7528 | − | 11.9816i | −0.686816 | − | 0.396533i | ||||
\(914\) | −22.6432 | − | 23.9940i | −0.748971 | − | 0.793652i | ||||
\(915\) | −19.8734 | − | 8.00944i | −0.656994 | − | 0.264784i | ||||
\(916\) | −4.67725 | + | 2.35056i | −0.154541 | + | 0.0776646i | ||||
\(917\) | 6.54840 | − | 27.1710i | 0.216247 | − | 0.897264i | ||||
\(918\) | −43.7744 | − | 18.1416i | −1.44477 | − | 0.598761i | ||||
\(919\) | −11.4205 | − | 6.59361i | −0.376727 | − | 0.217503i | 0.299666 | − | 0.954044i | \(-0.403125\pi\) |
−0.676393 | + | 0.736541i | \(0.736458\pi\) | |||||||
\(920\) | 4.99542 | + | 5.94849i | 0.164694 | + | 0.196116i | ||||
\(921\) | −18.4953 | − | 23.6308i | −0.609440 | − | 0.778662i | ||||
\(922\) | −14.9236 | + | 49.8724i | −0.491482 | + | 1.64246i | ||||
\(923\) | −57.1585 | + | 33.0005i | −1.88139 | + | 1.08622i | ||||
\(924\) | 17.1768 | − | 21.3492i | 0.565076 | − | 0.702336i | ||||
\(925\) | 13.7553 | + | 7.94164i | 0.452272 | + | 0.261120i | ||||
\(926\) | −35.1436 | + | 33.1651i | −1.15489 | + | 1.08987i | ||||
\(927\) | −0.769685 | + | 3.10989i | −0.0252798 | + | 0.102142i | ||||
\(928\) | −28.0205 | + | 20.8894i | −0.919817 | + | 0.685728i | ||||
\(929\) | −12.6072 | + | 7.27877i | −0.413629 | + | 0.238809i | −0.692348 | − | 0.721564i | \(-0.743424\pi\) |
0.278719 | + | 0.960373i | \(0.410090\pi\) | |||||||
\(930\) | −9.80303 | − | 25.0268i | −0.321454 | − | 0.820660i | ||||
\(931\) | 3.03622 | + | 4.69338i | 0.0995080 | + | 0.153819i | ||||
\(932\) | −2.90927 | + | 50.1799i | −0.0952963 | + | 1.64370i | ||||
\(933\) | −2.38702 | − | 16.8788i | −0.0781474 | − | 0.552588i | ||||
\(934\) | −46.3774 | − | 13.8778i | −1.51751 | − | 0.454094i | ||||
\(935\) | 21.6281 | − | 12.4870i | 0.707315 | − | 0.408369i | ||||
\(936\) | −20.6306 | + | 30.7267i | −0.674333 | + | 1.00433i | ||||
\(937\) | − | 22.0761i | − | 0.721195i | −0.932721 | − | 0.360598i | \(-0.882573\pi\) | ||
0.932721 | − | 0.360598i | \(-0.117427\pi\) | |||||||
\(938\) | 10.4919 | − | 18.0202i | 0.342573 | − | 0.588379i | ||||
\(939\) | −16.2420 | + | 40.3003i | −0.530036 | + | 1.31515i | ||||
\(940\) | −9.10582 | − | 5.98552i | −0.296999 | − | 0.195226i | ||||
\(941\) | 7.81760 | − | 13.5405i | 0.254847 | − | 0.441407i | −0.710007 | − | 0.704194i | \(-0.751308\pi\) |
0.964854 | + | 0.262787i | \(0.0846417\pi\) | |||||||
\(942\) | −2.57506 | − | 6.57404i | −0.0839001 | − | 0.214194i | ||||
\(943\) | −10.3805 | − | 17.9795i | −0.338035 | − | 0.585495i | ||||
\(944\) | 24.2218 | − | 10.4635i | 0.788351 | − | 0.340558i | ||||
\(945\) | −3.27543 | − | 17.5055i | −0.106550 | − | 0.569454i | ||||
\(946\) | −7.85669 | + | 26.2559i | −0.255443 | + | 0.853652i | ||||
\(947\) | −7.80879 | − | 13.5252i | −0.253751 | − | 0.439510i | 0.710804 | − | 0.703390i | \(-0.248331\pi\) |
−0.964556 | + | 0.263880i | \(0.914998\pi\) | |||||||
\(948\) | −1.74253 | − | 21.0538i | −0.0565947 | − | 0.683797i | ||||
\(949\) | 57.6317 | + | 33.2737i | 1.87081 | + | 1.08011i | ||||
\(950\) | 3.59397 | + | 1.07544i | 0.116604 | + | 0.0348920i | ||||
\(951\) | −11.7091 | + | 29.0533i | −0.379695 | + | 0.942116i | ||||
\(952\) | −26.6526 | + | 40.2258i | −0.863815 | + | 1.30372i | ||||
\(953\) | −22.9094 | −0.742107 | −0.371054 | − | 0.928611i | \(-0.621003\pi\) | ||||
−0.371054 | + | 0.928611i | \(0.621003\pi\) | |||||||
\(954\) | −13.0003 | − | 23.0344i | −0.420901 | − | 0.745766i | ||||
\(955\) | 1.28939 | − | 0.744430i | 0.0417237 | − | 0.0240892i | ||||
\(956\) | 10.5526 | − | 16.0538i | 0.341296 | − | 0.519215i | ||||
\(957\) | 31.6786 | − | 4.48001i | 1.02402 | − | 0.144818i | ||||
\(958\) | 44.8542 | − | 10.6369i | 1.44917 | − | 0.343664i | ||||
\(959\) | 10.5625 | + | 2.54563i | 0.341080 | + | 0.0822028i | ||||
\(960\) | −8.45335 | − | 15.8350i | −0.272831 | − | 0.511072i | ||||
\(961\) | −20.3747 | − | 35.2900i | −0.657248 | − | 1.13839i | ||||
\(962\) | 6.80555 | + | 28.6979i | 0.219420 | + | 0.925257i | ||||
\(963\) | −17.4272 | − | 16.7713i | −0.561585 | − | 0.540447i | ||||
\(964\) | 16.4449 | + | 32.7229i | 0.529656 | + | 1.05393i | ||||
\(965\) | −6.79152 | + | 11.7633i | −0.218627 | + | 0.378673i | ||||
\(966\) | 8.42845 | + | 10.8502i | 0.271181 | + | 0.349100i | ||||
\(967\) | 51.2047 | − | 29.5630i | 1.64663 | − | 0.950684i | 0.668235 | − | 0.743950i | \(-0.267050\pi\) |
0.978397 | − | 0.206733i | \(-0.0662832\pi\) | |||||||
\(968\) | 4.46527 | − | 3.74984i | 0.143519 | − | 0.120524i | ||||
\(969\) | −7.02333 | + | 5.49700i | −0.225622 | + | 0.176589i | ||||
\(970\) | 31.3826 | + | 9.39079i | 1.00763 | + | 0.301520i | ||||
\(971\) | −10.7872 | − | 6.22798i | −0.346177 | − | 0.199865i | 0.316823 | − | 0.948485i | \(-0.397384\pi\) |
−0.663000 | + | 0.748619i | \(0.730717\pi\) | |||||||
\(972\) | 24.9222 | − | 18.7319i | 0.799380 | − | 0.600826i | ||||
\(973\) | −15.9812 | + | 4.71859i | −0.512334 | + | 0.151271i | ||||
\(974\) | 3.63670 | − | 3.43196i | 0.116527 | − | 0.109967i | ||||
\(975\) | 23.2762 | + | 9.38085i | 0.745435 | + | 0.300428i | ||||
\(976\) | −37.9419 | − | 4.41434i | −1.21449 | − | 0.141299i | ||||
\(977\) | 13.3423 | − | 23.1095i | 0.426858 | − | 0.739339i | −0.569734 | − | 0.821829i | \(-0.692954\pi\) |
0.996592 | + | 0.0824897i | \(0.0262872\pi\) | |||||||
\(978\) | −1.90260 | − | 4.85726i | −0.0608384 | − | 0.155318i | ||||
\(979\) | 8.52269 | + | 4.92058i | 0.272386 | + | 0.157262i | ||||
\(980\) | −18.1356 | − | 0.132530i | −0.579321 | − | 0.00423353i | ||||
\(981\) | −2.17879 | − | 7.54915i | −0.0695633 | − | 0.241026i | ||||
\(982\) | 20.4756 | + | 21.6971i | 0.653402 | + | 0.692381i | ||||
\(983\) | −30.7980 | −0.982303 | −0.491152 | − | 0.871074i | \(-0.663424\pi\) | ||||
−0.491152 | + | 0.871074i | \(0.663424\pi\) | |||||||
\(984\) | 14.8827 | + | 45.6084i | 0.474442 | + | 1.45394i | ||||
\(985\) | 3.92336i | 0.125009i | ||||||||
\(986\) | −54.8214 | + | 13.0006i | −1.74587 | + | 0.414023i | ||||
\(987\) | −15.6909 | − | 11.1926i | −0.499447 | − | 0.356263i | ||||
\(988\) | 3.12802 | + | 6.22427i | 0.0995155 | + | 0.198020i | ||||
\(989\) | −11.9006 | − | 6.87084i | −0.378418 | − | 0.218480i | ||||
\(990\) | −0.160654 | + | 16.4309i | −0.00510592 | + | 0.522210i | ||||
\(991\) | 21.7549 | − | 12.5602i | 0.691066 | − | 0.398987i | −0.112945 | − | 0.993601i | \(-0.536028\pi\) |
0.804011 | + | 0.594614i | \(0.202695\pi\) | |||||||
\(992\) | −28.6392 | − | 38.4158i | −0.909296 | − | 1.21970i | ||||
\(993\) | 43.9628 | + | 17.7180i | 1.39512 | + | 0.562265i | ||||
\(994\) | 0.206873 | − | 56.6182i | 0.00656161 | − | 1.79582i | ||||
\(995\) | −7.52061 | − | 13.0261i | −0.238419 | − | 0.412954i | ||||
\(996\) | −22.8186 | + | 15.8188i | −0.723034 | + | 0.501237i | ||||
\(997\) | −54.4985 | −1.72598 | −0.862992 | − | 0.505217i | \(-0.831412\pi\) | ||||
−0.862992 | + | 0.505217i | \(0.831412\pi\) | |||||||
\(998\) | −52.3082 | + | 12.4046i | −1.65579 | + | 0.392661i | ||||
\(999\) | 2.53307 | − | 24.7157i | 0.0801428 | − | 0.781971i |
(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 | 504.2.cz.b.187.7 | yes | 180 | |
7.3 | odd | 6 | 504.2.bf.b.115.55 | ✓ | 180 | ||
8.3 | odd | 2 | inner | 504.2.cz.b.187.67 | yes | 180 | |
9.4 | even | 3 | 504.2.bf.b.355.55 | yes | 180 | ||
56.3 | even | 6 | 504.2.bf.b.115.56 | yes | 180 | ||
63.31 | odd | 6 | inner | 504.2.cz.b.283.67 | yes | 180 | |
72.67 | odd | 6 | 504.2.bf.b.355.56 | yes | 180 | ||
504.283 | even | 6 | inner | 504.2.cz.b.283.7 | yes | 180 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
504.2.bf.b.115.55 | ✓ | 180 | 7.3 | odd | 6 | ||
504.2.bf.b.115.56 | yes | 180 | 56.3 | even | 6 | ||
504.2.bf.b.355.55 | yes | 180 | 9.4 | even | 3 | ||
504.2.bf.b.355.56 | yes | 180 | 72.67 | odd | 6 | ||
504.2.cz.b.187.7 | yes | 180 | 1.1 | even | 1 | trivial | |
504.2.cz.b.187.67 | yes | 180 | 8.3 | odd | 2 | inner | |
504.2.cz.b.283.7 | yes | 180 | 504.283 | even | 6 | inner | |
504.2.cz.b.283.67 | yes | 180 | 63.31 | odd | 6 | inner |