Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(28,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(54))
chi = DirichletCharacter(H, H._module([44]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.28");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.g (of order \(27\), degree \(18\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{27})\) |
Twist minimal: | no (minimal twist has level 81) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{27}]$ |
Embedding invariants
Embedding label | 28.6 | ||
Character | \(\chi\) | \(=\) | 729.28 |
Dual form | 729.2.g.b.703.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{22}{27}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.695972 | − | 0.457748i | 0.492126 | − | 0.323677i | −0.279073 | − | 0.960270i | \(-0.590027\pi\) |
0.771200 | + | 0.636593i | \(0.219657\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.517316 | + | 1.19927i | −0.258658 | + | 0.599637i | ||||
\(5\) | −0.827713 | + | 0.877324i | −0.370164 | + | 0.392351i | −0.885502 | − | 0.464636i | \(-0.846185\pi\) |
0.515337 | + | 0.856987i | \(0.327667\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 1.30600 | + | 0.152650i | 0.493623 | + | 0.0576963i | 0.359263 | − | 0.933236i | \(-0.383028\pi\) |
0.134360 | + | 0.990933i | \(0.457102\pi\) | |||||||
\(8\) | 0.478230 | + | 2.71217i | 0.169080 | + | 0.958899i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.174471 | + | 0.989477i | −0.0551727 | + | 0.312900i | ||||
\(11\) | 0.623332 | − | 2.08207i | 0.187942 | − | 0.627769i | −0.811137 | − | 0.584856i | \(-0.801151\pi\) |
0.999079 | − | 0.0429127i | \(-0.0136637\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −0.264847 | + | 4.54725i | −0.0734553 | + | 1.26118i | 0.737208 | + | 0.675666i | \(0.236144\pi\) |
−0.810663 | + | 0.585513i | \(0.800893\pi\) | |||||||
\(14\) | 0.978817 | − | 0.491580i | 0.261600 | − | 0.131380i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.218261 | − | 0.231343i | −0.0545652 | − | 0.0578357i | ||||
\(17\) | −3.54217 | + | 1.28924i | −0.859102 | + | 0.312688i | −0.733746 | − | 0.679424i | \(-0.762230\pi\) |
−0.125356 | + | 0.992112i | \(0.540007\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.50517 | − | 0.911807i | −0.574725 | − | 0.209183i | 0.0382728 | − | 0.999267i | \(-0.487814\pi\) |
−0.612998 | + | 0.790084i | \(0.710037\pi\) | |||||||
\(20\) | −0.623962 | − | 1.44651i | −0.139522 | − | 0.323449i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.519243 | − | 1.73439i | −0.110703 | − | 0.369774i | ||||
\(23\) | −5.99251 | + | 0.700424i | −1.24952 | + | 0.146049i | −0.715012 | − | 0.699112i | \(-0.753579\pi\) |
−0.534513 | + | 0.845160i | \(0.679505\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.206135 | + | 3.53920i | 0.0412269 | + | 0.707839i | ||||
\(26\) | 1.89717 | + | 3.28599i | 0.372065 | + | 0.644435i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.858686 | + | 1.48729i | −0.162276 | + | 0.281071i | ||||
\(29\) | 3.71556 | + | 1.86603i | 0.689963 | + | 0.346512i | 0.758990 | − | 0.651102i | \(-0.225693\pi\) |
−0.0690270 | + | 0.997615i | \(0.521989\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.45311 | + | 5.98156i | 0.799801 | + | 1.07432i | 0.995603 | + | 0.0936762i | \(0.0298618\pi\) |
−0.195801 | + | 0.980644i | \(0.562731\pi\) | |||||||
\(32\) | −5.61736 | − | 1.33134i | −0.993018 | − | 0.235350i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.87510 | + | 2.51870i | −0.321577 | + | 0.431953i | ||||
\(35\) | −1.21492 | + | 1.01944i | −0.205359 | + | 0.172317i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 7.47819 | + | 6.27494i | 1.22941 | + | 1.03159i | 0.998277 | + | 0.0586711i | \(0.0186863\pi\) |
0.231129 | + | 0.972923i | \(0.425758\pi\) | |||||||
\(38\) | −2.16090 | + | 0.512144i | −0.350545 | + | 0.0830807i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.77529 | − | 1.82534i | −0.438812 | − | 0.288611i | ||||
\(41\) | 4.83588 | + | 3.18061i | 0.755237 | + | 0.496727i | 0.867798 | − | 0.496918i | \(-0.165535\pi\) |
−0.112561 | + | 0.993645i | \(0.535905\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −4.91887 | + | 1.16579i | −0.750120 | + | 0.177782i | −0.587856 | − | 0.808966i | \(-0.700028\pi\) |
−0.162264 | + | 0.986747i | \(0.551880\pi\) | |||||||
\(44\) | 2.17451 | + | 1.82463i | 0.327820 | + | 0.275074i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3.85000 | + | 3.23053i | −0.567652 | + | 0.476316i | ||||
\(47\) | 1.79025 | − | 2.40472i | 0.261135 | − | 0.350765i | −0.652148 | − | 0.758092i | \(-0.726132\pi\) |
0.913282 | + | 0.407327i | \(0.133539\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −5.12897 | − | 1.21559i | −0.732710 | − | 0.173655i | ||||
\(50\) | 1.76352 | + | 2.36882i | 0.249400 | + | 0.335002i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −5.31638 | − | 2.66999i | −0.737249 | − | 0.370261i | ||||
\(53\) | 6.22987 | − | 10.7905i | 0.855739 | − | 1.48218i | −0.0202187 | − | 0.999796i | \(-0.506436\pi\) |
0.875958 | − | 0.482388i | \(-0.160230\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 1.31071 | + | 2.27022i | 0.176737 | + | 0.306117i | ||||
\(56\) | 0.210556 | + | 3.61511i | 0.0281368 | + | 0.483090i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 3.44010 | − | 0.402090i | 0.451707 | − | 0.0527970i | ||||
\(59\) | −3.12841 | − | 10.4496i | −0.407284 | − | 1.36042i | −0.878221 | − | 0.478256i | \(-0.841269\pi\) |
0.470937 | − | 0.882167i | \(-0.343916\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 4.67102 | + | 10.8287i | 0.598063 | + | 1.38647i | 0.901152 | + | 0.433504i | \(0.142723\pi\) |
−0.303088 | + | 0.952962i | \(0.598018\pi\) | |||||||
\(62\) | 5.83728 | + | 2.12460i | 0.741336 | + | 0.269824i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −3.92120 | + | 1.42720i | −0.490150 | + | 0.178400i | ||||
\(65\) | −3.77019 | − | 3.99617i | −0.467635 | − | 0.495664i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.741811 | + | 0.372552i | −0.0906267 | + | 0.0455144i | −0.493535 | − | 0.869726i | \(-0.664296\pi\) |
0.402909 | + | 0.915240i | \(0.367999\pi\) | |||||||
\(68\) | 0.286265 | − | 4.91497i | 0.0347147 | − | 0.596028i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.378904 | + | 1.26563i | −0.0452877 | + | 0.151271i | ||||
\(71\) | −1.25916 | + | 7.14107i | −0.149435 | + | 0.847489i | 0.814263 | + | 0.580496i | \(0.197141\pi\) |
−0.963698 | + | 0.266993i | \(0.913970\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −1.41006 | − | 7.99685i | −0.165035 | − | 0.935960i | −0.949028 | − | 0.315191i | \(-0.897931\pi\) |
0.783993 | − | 0.620769i | \(-0.213180\pi\) | |||||||
\(74\) | 8.07695 | + | 0.944060i | 0.938926 | + | 0.109745i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 2.38947 | − | 2.53269i | 0.274091 | − | 0.290519i | ||||
\(77\) | 1.13190 | − | 2.62404i | 0.128992 | − | 0.299037i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 9.60774 | − | 6.31911i | 1.08096 | − | 0.710955i | 0.121436 | − | 0.992599i | \(-0.461250\pi\) |
0.959519 | + | 0.281644i | \(0.0908797\pi\) | |||||||
\(80\) | 0.383620 | 0.0428900 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 4.82155 | 0.532451 | ||||||||
\(83\) | −3.98931 | + | 2.62381i | −0.437884 | + | 0.288001i | −0.749248 | − | 0.662290i | \(-0.769585\pi\) |
0.311364 | + | 0.950291i | \(0.399214\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 1.80081 | − | 4.17475i | 0.195326 | − | 0.452816i | ||||
\(86\) | −2.88975 | + | 3.06296i | −0.311610 | + | 0.330288i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 5.94504 | + | 0.694876i | 0.633743 | + | 0.0740740i | ||||
\(89\) | −0.578632 | − | 3.28158i | −0.0613348 | − | 0.347847i | −0.999995 | − | 0.00300484i | \(-0.999044\pi\) |
0.938661 | − | 0.344842i | \(-0.112068\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.04003 | + | 5.89829i | −0.109025 | + | 0.618309i | ||||
\(92\) | 2.26002 | − | 7.54900i | 0.235624 | − | 0.787037i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.145207 | − | 2.49310i | 0.0149769 | − | 0.257144i | ||||
\(95\) | 2.87351 | − | 1.44313i | 0.294816 | − | 0.148062i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −0.935521 | − | 0.991594i | −0.0949877 | − | 0.100681i | 0.678136 | − | 0.734937i | \(-0.262788\pi\) |
−0.773123 | + | 0.634256i | \(0.781307\pi\) | |||||||
\(98\) | −4.12605 | + | 1.50176i | −0.416794 | + | 0.151701i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −4.35110 | − | 1.58367i | −0.435110 | − | 0.158367i | ||||
\(101\) | −0.916862 | − | 2.12552i | −0.0912311 | − | 0.211498i | 0.866491 | − | 0.499193i | \(-0.166370\pi\) |
−0.957722 | + | 0.287695i | \(0.907111\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.30483 | − | 4.35843i | −0.128569 | − | 0.429449i | 0.869331 | − | 0.494230i | \(-0.164550\pi\) |
−0.997899 | + | 0.0647816i | \(0.979365\pi\) | |||||||
\(104\) | −12.4596 | + | 1.45632i | −1.22176 | + | 0.142804i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.603492 | − | 10.3616i | −0.0586164 | − | 1.00640i | ||||
\(107\) | −6.14665 | − | 10.6463i | −0.594219 | − | 1.02922i | −0.993657 | − | 0.112457i | \(-0.964128\pi\) |
0.399438 | − | 0.916760i | \(-0.369205\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 4.45327 | − | 7.71330i | 0.426546 | − | 0.738800i | −0.570017 | − | 0.821633i | \(-0.693063\pi\) |
0.996563 | + | 0.0828329i | \(0.0263968\pi\) | |||||||
\(110\) | 1.95141 | + | 0.980034i | 0.186060 | + | 0.0934426i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −0.249735 | − | 0.335452i | −0.0235977 | − | 0.0316973i | ||||
\(113\) | 16.9220 | + | 4.01058i | 1.59188 | + | 0.377284i | 0.928600 | − | 0.371083i | \(-0.121014\pi\) |
0.663285 | + | 0.748367i | \(0.269162\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 4.34558 | − | 5.83713i | 0.405227 | − | 0.544315i | ||||
\(116\) | −4.16000 | + | 3.49065i | −0.386246 | + | 0.324099i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −6.96056 | − | 5.84061i | −0.640772 | − | 0.537671i | ||||
\(119\) | −4.82289 | + | 1.14305i | −0.442113 | + | 0.104783i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.24388 | + | 3.44896i | 0.476717 | + | 0.313541i | ||||
\(122\) | 8.20769 | + | 5.39828i | 0.743089 | + | 0.488738i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −9.47719 | + | 2.24613i | −0.851076 | + | 0.201709i | ||||
\(125\) | −7.89548 | − | 6.62509i | −0.706193 | − | 0.592566i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 4.35255 | − | 3.65222i | 0.386226 | − | 0.324082i | −0.428915 | − | 0.903345i | \(-0.641104\pi\) |
0.815141 | + | 0.579263i | \(0.196660\pi\) | |||||||
\(128\) | 4.81901 | − | 6.47306i | 0.425945 | − | 0.572143i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −4.45319 | − | 1.05542i | −0.390570 | − | 0.0925669i | ||||
\(131\) | 11.6556 | + | 15.6562i | 1.01836 | + | 1.36789i | 0.928250 | + | 0.371958i | \(0.121313\pi\) |
0.0901070 | + | 0.995932i | \(0.471279\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −3.13257 | − | 1.57324i | −0.271628 | − | 0.136417i | ||||
\(134\) | −0.345745 | + | 0.598848i | −0.0298678 | + | 0.0517326i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −5.19062 | − | 8.99042i | −0.445092 | − | 0.770922i | ||||
\(137\) | 0.921841 | + | 15.8274i | 0.0787582 | + | 1.35223i | 0.773879 | + | 0.633333i | \(0.218314\pi\) |
−0.695121 | + | 0.718893i | \(0.744649\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 10.3686 | − | 1.21192i | 0.879457 | − | 0.102794i | 0.335633 | − | 0.941993i | \(-0.391050\pi\) |
0.543824 | + | 0.839199i | \(0.316976\pi\) | |||||||
\(140\) | −0.594088 | − | 1.98439i | −0.0502096 | − | 0.167712i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.39247 | + | 5.54636i | 0.200771 | + | 0.465440i | ||||
\(143\) | 9.30261 | + | 3.38587i | 0.777923 | + | 0.283141i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −4.71253 | + | 1.71522i | −0.391354 | + | 0.142441i | ||||
\(146\) | −4.64190 | − | 4.92013i | −0.384166 | − | 0.407193i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −11.3940 | + | 5.72226i | −0.936577 | + | 0.470367i | ||||
\(149\) | −0.169499 | + | 2.91018i | −0.0138859 | + | 0.238411i | 0.984223 | + | 0.176935i | \(0.0566181\pi\) |
−0.998109 | + | 0.0614769i | \(0.980419\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.65956 | − | 12.2238i | 0.297811 | − | 0.994758i | −0.669849 | − | 0.742498i | \(-0.733641\pi\) |
0.967659 | − | 0.252260i | \(-0.0811738\pi\) | |||||||
\(152\) | 1.27493 | − | 7.23051i | 0.103411 | − | 0.586472i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −0.413378 | − | 2.34439i | −0.0333110 | − | 0.188916i | ||||
\(155\) | −8.93366 | − | 1.04420i | −0.717569 | − | 0.0838718i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 0.871963 | − | 0.924227i | 0.0695902 | − | 0.0737613i | −0.691643 | − | 0.722240i | \(-0.743113\pi\) |
0.761233 | + | 0.648478i | \(0.224594\pi\) | |||||||
\(158\) | 3.79416 | − | 8.79584i | 0.301847 | − | 0.699760i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 5.81758 | − | 3.82628i | 0.459920 | − | 0.302494i | ||||
\(161\) | −7.93316 | −0.625221 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 12.3636 | 0.968391 | 0.484195 | − | 0.874960i | \(-0.339112\pi\) | ||||
0.484195 | + | 0.874960i | \(0.339112\pi\) | |||||||
\(164\) | −6.31609 | + | 4.15416i | −0.493204 | + | 0.324385i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.57541 | + | 3.65220i | −0.122275 | + | 0.283466i | ||||
\(167\) | 2.61701 | − | 2.77387i | 0.202511 | − | 0.214649i | −0.618157 | − | 0.786055i | \(-0.712120\pi\) |
0.820667 | + | 0.571406i | \(0.193602\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −7.69521 | − | 0.899441i | −0.591939 | − | 0.0691877i | ||||
\(170\) | −0.657669 | − | 3.72983i | −0.0504409 | − | 0.286065i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 1.14650 | − | 6.50215i | 0.0874201 | − | 0.495784i | ||||
\(173\) | −6.90339 | + | 23.0589i | −0.524855 | + | 1.75314i | 0.124056 | + | 0.992275i | \(0.460410\pi\) |
−0.648912 | + | 0.760864i | \(0.724776\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.271045 | + | 4.65367i | −0.0204891 | + | 0.351784i | ||||
\(176\) | −0.617722 | + | 0.310231i | −0.0465625 | + | 0.0233846i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −1.90485 | − | 2.01902i | −0.142774 | − | 0.151332i | ||||
\(179\) | −5.95691 | + | 2.16814i | −0.445240 | + | 0.162054i | −0.554904 | − | 0.831915i | \(-0.687245\pi\) |
0.109664 | + | 0.993969i | \(0.465023\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.82014 | − | 2.11836i | −0.432608 | − | 0.157456i | 0.116532 | − | 0.993187i | \(-0.462822\pi\) |
−0.549140 | + | 0.835731i | \(0.685045\pi\) | |||||||
\(182\) | 1.97610 | + | 4.58112i | 0.146478 | + | 0.339575i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −4.76547 | − | 15.9178i | −0.351315 | − | 1.17347i | ||||
\(185\) | −11.6950 | + | 1.36694i | −0.859830 | + | 0.100500i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.476354 | + | 8.17868i | 0.0348344 | + | 0.598084i | ||||
\(188\) | 1.95779 | + | 3.39100i | 0.142787 | + | 0.247314i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.33929 | − | 2.31972i | 0.0971625 | − | 0.168290i | ||||
\(191\) | −6.03439 | − | 3.03058i | −0.436633 | − | 0.219285i | 0.216884 | − | 0.976197i | \(-0.430411\pi\) |
−0.653517 | + | 0.756912i | \(0.726707\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −9.50172 | − | 12.7630i | −0.683949 | − | 0.918703i | 0.315595 | − | 0.948894i | \(-0.397796\pi\) |
−0.999544 | + | 0.0301912i | \(0.990388\pi\) | |||||||
\(194\) | −1.10500 | − | 0.261889i | −0.0793341 | − | 0.0188025i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.11112 | − | 5.52219i | 0.293651 | − | 0.394442i | ||||
\(197\) | 8.88023 | − | 7.45140i | 0.632690 | − | 0.530890i | −0.269073 | − | 0.963120i | \(-0.586717\pi\) |
0.901764 | + | 0.432229i | \(0.142273\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.29385 | + | 2.76387i | 0.233495 | + | 0.195925i | 0.752026 | − | 0.659133i | \(-0.229077\pi\) |
−0.518531 | + | 0.855059i | \(0.673521\pi\) | |||||||
\(200\) | −9.50034 | + | 2.25162i | −0.671775 | + | 0.159214i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −1.61106 | − | 1.05961i | −0.113354 | − | 0.0745541i | ||||
\(203\) | 4.56769 | + | 3.00422i | 0.320589 | + | 0.210855i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −6.79314 | + | 1.61000i | −0.474453 | + | 0.112448i | ||||
\(206\) | −2.90318 | − | 2.43606i | −0.202274 | − | 0.169728i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 1.10978 | − | 0.931215i | 0.0769493 | − | 0.0645682i | ||||
\(209\) | −3.46000 | + | 4.64759i | −0.239333 | + | 0.321480i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 13.8963 | + | 3.29348i | 0.956660 | + | 0.226733i | 0.679158 | − | 0.733992i | \(-0.262345\pi\) |
0.277502 | + | 0.960725i | \(0.410493\pi\) | |||||||
\(212\) | 9.71789 | + | 13.0534i | 0.667428 | + | 0.896511i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −9.15122 | − | 4.59591i | −0.625564 | − | 0.314170i | ||||
\(215\) | 3.04863 | − | 5.28038i | 0.207915 | − | 0.360119i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.90269 | + | 8.49171i | 0.332816 | + | 0.576455i | ||||
\(218\) | −0.431392 | − | 7.40671i | −0.0292175 | − | 0.501646i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −3.40067 | + | 0.397481i | −0.229273 | + | 0.0267982i | ||||
\(221\) | −4.92438 | − | 16.4486i | −0.331249 | − | 1.10645i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −7.99694 | − | 18.5390i | −0.535515 | − | 1.24146i | −0.944376 | − | 0.328866i | \(-0.893333\pi\) |
0.408862 | − | 0.912596i | \(-0.365926\pi\) | |||||||
\(224\) | −7.13306 | − | 2.59622i | −0.476598 | − | 0.173467i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 13.6130 | − | 4.95474i | 0.905526 | − | 0.329585i | ||||
\(227\) | 1.86894 | + | 1.98096i | 0.124046 | + | 0.131481i | 0.786420 | − | 0.617693i | \(-0.211932\pi\) |
−0.662374 | + | 0.749173i | \(0.730451\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 1.36418 | − | 0.685117i | 0.0901476 | − | 0.0452738i | −0.403154 | − | 0.915132i | \(-0.632086\pi\) |
0.493302 | + | 0.869858i | \(0.335790\pi\) | |||||||
\(230\) | 0.352469 | − | 6.05165i | 0.0232411 | − | 0.399034i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −3.28410 | + | 10.9696i | −0.215612 | + | 0.720193i | ||||
\(233\) | 1.13347 | − | 6.42825i | 0.0742563 | − | 0.421128i | −0.924906 | − | 0.380197i | \(-0.875856\pi\) |
0.999162 | − | 0.0409317i | \(-0.0130326\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.627909 | + | 3.56105i | 0.0409602 | + | 0.232297i | ||||
\(236\) | 14.1503 | + | 1.65393i | 0.921106 | + | 0.107662i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −2.83337 | + | 3.00319i | −0.183660 | + | 0.194668i | ||||
\(239\) | 6.69279 | − | 15.5156i | 0.432921 | − | 1.00362i | −0.552504 | − | 0.833510i | \(-0.686328\pi\) |
0.985425 | − | 0.170112i | \(-0.0544131\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 10.5263 | − | 6.92323i | 0.678056 | − | 0.445964i | −0.163206 | − | 0.986592i | \(-0.552184\pi\) |
0.841262 | + | 0.540628i | \(0.181813\pi\) | |||||||
\(242\) | 5.22835 | 0.336091 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −15.4029 | −0.986070 | ||||||||
\(245\) | 5.31178 | − | 3.49361i | 0.339357 | − | 0.223199i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 4.80970 | − | 11.1501i | 0.306034 | − | 0.709466i | ||||
\(248\) | −14.0934 | + | 14.9382i | −0.894934 | + | 0.948574i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −8.52765 | − | 0.996740i | −0.539336 | − | 0.0630393i | ||||
\(251\) | 4.48052 | + | 25.4103i | 0.282808 | + | 1.60388i | 0.713012 | + | 0.701152i | \(0.247331\pi\) |
−0.430204 | + | 0.902732i | \(0.641558\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −2.27699 | + | 12.9134i | −0.143153 | + | 0.811861i | ||||
\(254\) | 1.35745 | − | 4.53421i | 0.0851742 | − | 0.284502i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.876128 | − | 15.0425i | 0.0547580 | − | 0.940159i | ||||
\(257\) | −12.9329 | + | 6.49515i | −0.806733 | + | 0.405156i | −0.803845 | − | 0.594839i | \(-0.797216\pi\) |
−0.00288824 | + | 0.999996i | \(0.500919\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 8.80867 | + | 9.33664i | 0.547344 | + | 0.580151i | ||||
\(260\) | 6.74288 | − | 2.45421i | 0.418176 | − | 0.152204i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 15.2786 | + | 5.56095i | 0.943914 | + | 0.343557i | ||||
\(263\) | 4.14086 | + | 9.59959i | 0.255336 | + | 0.591936i | 0.996877 | − | 0.0789721i | \(-0.0251638\pi\) |
−0.741541 | + | 0.670908i | \(0.765905\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 4.31019 | + | 14.3970i | 0.264773 | + | 0.884402i | ||||
\(266\) | −2.90033 | + | 0.339000i | −0.177831 | + | 0.0207854i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −0.0630404 | − | 1.08236i | −0.00385080 | − | 0.0661157i | ||||
\(269\) | −0.105374 | − | 0.182513i | −0.00642476 | − | 0.0111280i | 0.862795 | − | 0.505554i | \(-0.168712\pi\) |
−0.869220 | + | 0.494426i | \(0.835378\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.70846 | − | 9.88735i | 0.346765 | − | 0.600614i | −0.638908 | − | 0.769283i | \(-0.720614\pi\) |
0.985673 | + | 0.168669i | \(0.0539470\pi\) | |||||||
\(272\) | 1.07137 | + | 0.538064i | 0.0649616 | + | 0.0326249i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 7.88653 | + | 10.5935i | 0.476443 | + | 0.639974i | ||||
\(275\) | 7.49735 | + | 1.77691i | 0.452107 | + | 0.107151i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.65798 | + | 8.94322i | −0.400039 | + | 0.537346i | −0.955808 | − | 0.293991i | \(-0.905017\pi\) |
0.555769 | + | 0.831337i | \(0.312424\pi\) | |||||||
\(278\) | 6.66153 | − | 5.58969i | 0.399532 | − | 0.335247i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −3.34591 | − | 2.80755i | −0.199956 | − | 0.167783i | ||||
\(281\) | 21.1181 | − | 5.00509i | 1.25980 | − | 0.298579i | 0.454128 | − | 0.890937i | \(-0.349951\pi\) |
0.805675 | + | 0.592358i | \(0.201803\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 0.247741 | + | 0.162942i | 0.0147267 | + | 0.00968587i | 0.556851 | − | 0.830612i | \(-0.312009\pi\) |
−0.542124 | + | 0.840298i | \(0.682380\pi\) | |||||||
\(284\) | −7.91270 | − | 5.20427i | −0.469533 | − | 0.308816i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.02423 | − | 1.90178i | 0.474483 | − | 0.112454i | ||||
\(287\) | 5.83015 | + | 4.89208i | 0.344143 | + | 0.288770i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −2.13795 | + | 1.79396i | −0.125762 | + | 0.105527i | ||||
\(290\) | −2.49465 | + | 3.35090i | −0.146491 | + | 0.196771i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 10.3199 | + | 2.44585i | 0.603924 | + | 0.143133i | ||||
\(293\) | 8.66275 | + | 11.6361i | 0.506083 | + | 0.679788i | 0.979591 | − | 0.201002i | \(-0.0644198\pi\) |
−0.473508 | + | 0.880790i | \(0.657012\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 11.7571 | + | 5.90464i | 0.684526 | + | 0.343782i | ||||
\(296\) | −13.4425 | + | 23.2830i | −0.781327 | + | 1.35330i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.21416 | + | 2.10299i | 0.0703346 | + | 0.121823i | ||||
\(299\) | −1.59790 | − | 27.4349i | −0.0924091 | − | 1.58660i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.60202 | + | 0.771665i | −0.380534 | + | 0.0444781i | ||||
\(302\) | −3.04846 | − | 10.1826i | −0.175419 | − | 0.585941i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0.335840 | + | 0.778565i | 0.0192617 | + | 0.0446538i | ||||
\(305\) | −13.3665 | − | 4.86501i | −0.765364 | − | 0.278570i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −3.56052 | + | 1.29592i | −0.203210 | + | 0.0739622i | −0.441620 | − | 0.897202i | \(-0.645596\pi\) |
0.238410 | + | 0.971165i | \(0.423374\pi\) | |||||||
\(308\) | 2.56139 | + | 2.71492i | 0.145949 | + | 0.154697i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −6.69555 | + | 3.36263i | −0.380282 | + | 0.190985i | ||||
\(311\) | 0.716898 | − | 12.3087i | 0.0406516 | − | 0.697961i | −0.914999 | − | 0.403457i | \(-0.867809\pi\) |
0.955650 | − | 0.294504i | \(-0.0951544\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.95193 | + | 6.51991i | −0.110330 | + | 0.368527i | −0.995266 | − | 0.0971844i | \(-0.969016\pi\) |
0.884937 | + | 0.465711i | \(0.154202\pi\) | |||||||
\(314\) | 0.183799 | − | 1.04238i | 0.0103724 | − | 0.0588246i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 2.60810 | + | 14.7913i | 0.146717 | + | 0.832074i | ||||
\(317\) | −14.8355 | − | 1.73402i | −0.833246 | − | 0.0973925i | −0.311237 | − | 0.950332i | \(-0.600743\pi\) |
−0.522009 | + | 0.852940i | \(0.674817\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 6.20123 | − | 6.57292i | 0.347202 | − | 0.368013i | ||||
\(320\) | 1.99351 | − | 4.62147i | 0.111441 | − | 0.258348i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −5.52126 | + | 3.63139i | −0.307688 | + | 0.202369i | ||||
\(323\) | 10.0493 | 0.559156 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −16.1482 | −0.895740 | ||||||||
\(326\) | 8.60471 | − | 5.65940i | 0.476571 | − | 0.313445i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −6.31370 | + | 14.6368i | −0.348616 | + | 0.808182i | ||||
\(329\) | 2.70515 | − | 2.86729i | 0.149140 | − | 0.158079i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 3.66884 | + | 0.428825i | 0.201657 | + | 0.0235704i | 0.216322 | − | 0.976322i | \(-0.430594\pi\) |
−0.0146645 | + | 0.999892i | \(0.504668\pi\) | |||||||
\(332\) | −1.08293 | − | 6.14162i | −0.0594337 | − | 0.337065i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0.551633 | − | 3.12847i | 0.0301840 | − | 0.171182i | ||||
\(335\) | 0.287158 | − | 0.959175i | 0.0156891 | − | 0.0524053i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.07246 | + | 18.4134i | −0.0584206 | + | 1.00304i | 0.833979 | + | 0.551796i | \(0.186057\pi\) |
−0.892400 | + | 0.451246i | \(0.850980\pi\) | |||||||
\(338\) | −5.76736 | + | 2.89648i | −0.313703 | + | 0.157548i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 4.07508 | + | 4.31933i | 0.221002 | + | 0.234249i | ||||
\(341\) | 15.2298 | − | 5.54319i | 0.824740 | − | 0.300181i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −15.1621 | − | 5.51854i | −0.818675 | − | 0.297973i | ||||
\(344\) | −5.51418 | − | 12.7833i | −0.297305 | − | 0.689230i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.75061 | + | 19.2084i | 0.309155 | + | 1.03265i | ||||
\(347\) | −33.3689 | + | 3.90026i | −1.79133 | + | 0.209377i | −0.945846 | − | 0.324617i | \(-0.894765\pi\) |
−0.845488 | + | 0.533994i | \(0.820691\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.91515 | + | 32.8819i | 0.102516 | + | 1.76013i | 0.522541 | + | 0.852614i | \(0.324984\pi\) |
−0.420026 | + | 0.907512i | \(0.637979\pi\) | |||||||
\(350\) | 1.94157 | + | 3.36289i | 0.103781 | + | 0.179754i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −6.27342 | + | 10.8659i | −0.334374 | + | 0.579154i | ||||
\(353\) | −11.9223 | − | 5.98761i | −0.634561 | − | 0.318688i | 0.102279 | − | 0.994756i | \(-0.467387\pi\) |
−0.736840 | + | 0.676067i | \(0.763683\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −5.22281 | − | 7.01545i | −0.277198 | − | 0.372341i | ||||
\(356\) | 4.23485 | + | 1.00368i | 0.224447 | + | 0.0531948i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −3.15338 | + | 4.23572i | −0.166661 | + | 0.223865i | ||||
\(359\) | −6.91454 | + | 5.80199i | −0.364936 | + | 0.306217i | −0.806754 | − | 0.590887i | \(-0.798778\pi\) |
0.441819 | + | 0.897104i | \(0.354333\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −9.11037 | − | 7.64450i | −0.479493 | − | 0.402342i | ||||
\(362\) | −5.02033 | + | 1.18984i | −0.263863 | + | 0.0625366i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.53564 | − | 4.29856i | −0.342561 | − | 0.225306i | ||||
\(365\) | 8.18295 | + | 5.38201i | 0.428315 | + | 0.281707i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 24.9138 | − | 5.90467i | 1.30049 | − | 0.308221i | 0.478682 | − | 0.877988i | \(-0.341115\pi\) |
0.821806 | + | 0.569767i | \(0.192967\pi\) | |||||||
\(368\) | 1.46997 | + | 1.23345i | 0.0766274 | + | 0.0642980i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −7.51364 | + | 6.30469i | −0.390616 | + | 0.327765i | ||||
\(371\) | 9.78340 | − | 13.1414i | 0.507929 | − | 0.682267i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −21.2782 | − | 5.04304i | −1.10175 | − | 0.261118i | −0.360773 | − | 0.932654i | \(-0.617487\pi\) |
−0.740973 | + | 0.671535i | \(0.765635\pi\) | |||||||
\(374\) | 4.07530 | + | 5.47408i | 0.210729 | + | 0.283058i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 7.37817 | + | 3.70546i | 0.380500 | + | 0.191094i | ||||
\(377\) | −9.46934 | + | 16.4014i | −0.487696 | + | 0.844714i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −5.26717 | − | 9.12300i | −0.270556 | − | 0.468617i | 0.698448 | − | 0.715661i | \(-0.253874\pi\) |
−0.969004 | + | 0.247043i | \(0.920541\pi\) | |||||||
\(380\) | 0.244196 | + | 4.19268i | 0.0125270 | + | 0.215080i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −5.58701 | + | 0.653027i | −0.285856 | + | 0.0334118i | ||||
\(383\) | 6.27198 | + | 20.9499i | 0.320483 | + | 1.07049i | 0.954759 | + | 0.297382i | \(0.0961134\pi\) |
−0.634275 | + | 0.773107i | \(0.718701\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.36525 | + | 3.16500i | 0.0695794 | + | 0.161303i | ||||
\(386\) | −12.4552 | − | 4.53331i | −0.633952 | − | 0.230740i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 1.67315 | − | 0.608977i | 0.0849414 | − | 0.0309161i | ||||
\(389\) | 16.7379 | + | 17.7411i | 0.848643 | + | 0.899510i | 0.995980 | − | 0.0895769i | \(-0.0285515\pi\) |
−0.147336 | + | 0.989086i | \(0.547070\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 20.3235 | − | 10.2068i | 1.02780 | − | 0.516181i | ||||
\(392\) | 0.844062 | − | 14.4920i | 0.0426316 | − | 0.731956i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.76953 | − | 9.25087i | 0.139527 | − | 0.466052i | ||||
\(395\) | −2.40854 | + | 13.6595i | −0.121187 | + | 0.687285i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 4.16728 | + | 23.6338i | 0.209150 | + | 1.18615i | 0.890775 | + | 0.454445i | \(0.150163\pi\) |
−0.681625 | + | 0.731702i | \(0.738726\pi\) | |||||||
\(398\) | 3.55758 | + | 0.415822i | 0.178325 | + | 0.0208433i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.773777 | − | 0.820155i | 0.0386888 | − | 0.0410078i | ||||
\(401\) | 14.6208 | − | 33.8948i | 0.730127 | − | 1.69263i | 0.00886741 | − | 0.999961i | \(-0.497177\pi\) |
0.721260 | − | 0.692665i | \(-0.243563\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −28.3790 | + | 18.6652i | −1.41366 | + | 0.929778i | ||||
\(404\) | 3.02339 | 0.150419 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 4.55416 | 0.226019 | ||||||||
\(407\) | 17.7263 | − | 11.6588i | 0.878659 | − | 0.577903i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.13089 | + | 2.62170i | −0.0559190 | + | 0.129635i | −0.943885 | − | 0.330274i | \(-0.892859\pi\) |
0.887966 | + | 0.459909i | \(0.152118\pi\) | |||||||
\(410\) | −3.99086 | + | 4.23006i | −0.197094 | + | 0.208908i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 5.90196 | + | 0.689840i | 0.290768 | + | 0.0339860i | ||||
\(413\) | −2.49058 | − | 14.1248i | −0.122553 | − | 0.695035i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.00007 | − | 5.67169i | 0.0490916 | − | 0.278412i | ||||
\(416\) | 7.54166 | − | 25.1909i | 0.369761 | − | 1.23509i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −0.280640 | + | 4.81839i | −0.0137265 | + | 0.235675i | ||||
\(419\) | −30.7184 | + | 15.4274i | −1.50069 | + | 0.753677i | −0.994096 | − | 0.108505i | \(-0.965394\pi\) |
−0.506598 | + | 0.862182i | \(0.669097\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −4.29013 | − | 4.54727i | −0.209088 | − | 0.221620i | 0.614339 | − | 0.789042i | \(-0.289423\pi\) |
−0.823428 | + | 0.567421i | \(0.807941\pi\) | |||||||
\(422\) | 11.1790 | − | 4.06883i | 0.544186 | − | 0.198067i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 32.2449 | + | 11.7362i | 1.56595 | + | 0.569960i | ||||
\(425\) | −5.29305 | − | 12.2707i | −0.256751 | − | 0.595215i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 4.44738 | + | 14.8553i | 0.215224 | + | 0.718898i | ||||
\(428\) | 15.9476 | − | 1.86401i | 0.770856 | − | 0.0901001i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −0.295323 | − | 5.07050i | −0.0142417 | − | 0.244521i | ||||
\(431\) | 1.50862 | + | 2.61301i | 0.0726679 | + | 0.125864i | 0.900070 | − | 0.435746i | \(-0.143515\pi\) |
−0.827402 | + | 0.561610i | \(0.810182\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −15.3659 | + | 26.6146i | −0.738439 | + | 1.27901i | 0.214759 | + | 0.976667i | \(0.431104\pi\) |
−0.953198 | + | 0.302347i | \(0.902230\pi\) | |||||||
\(434\) | 7.29919 | + | 3.66579i | 0.350372 | + | 0.175964i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.94660 | + | 9.33090i | 0.332682 | + | 0.446869i | ||||
\(437\) | 15.6509 | + | 3.70933i | 0.748684 | + | 0.177441i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.273278 | − | 0.367076i | 0.0130428 | − | 0.0175196i | −0.795554 | − | 0.605883i | \(-0.792820\pi\) |
0.808597 | + | 0.588363i | \(0.200227\pi\) | |||||||
\(440\) | −5.53042 | + | 4.64057i | −0.263652 | + | 0.221231i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −10.9565 | − | 9.19361i | −0.521148 | − | 0.437296i | ||||
\(443\) | 33.9676 | − | 8.05047i | 1.61385 | − | 0.382489i | 0.678048 | − | 0.735018i | \(-0.262826\pi\) |
0.935801 | + | 0.352528i | \(0.114678\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.35795 | + | 2.20856i | 0.159182 | + | 0.104696i | ||||
\(446\) | −14.0518 | − | 9.24203i | −0.665373 | − | 0.437623i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −5.33896 | + | 1.26536i | −0.252242 | + | 0.0597825i | ||||
\(449\) | 5.48196 | + | 4.59991i | 0.258710 | + | 0.217083i | 0.762912 | − | 0.646502i | \(-0.223769\pi\) |
−0.504202 | + | 0.863586i | \(0.668213\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 9.63661 | − | 8.08607i | 0.453770 | − | 0.380758i | ||||
\(452\) | −13.5638 | + | 18.2193i | −0.637987 | + | 0.856965i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 2.20751 | + | 0.523189i | 0.103603 | + | 0.0245545i | ||||
\(455\) | −4.31387 | − | 5.79453i | −0.202237 | − | 0.271652i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −11.3334 | − | 5.69186i | −0.530155 | − | 0.266254i | 0.163522 | − | 0.986540i | \(-0.447714\pi\) |
−0.693677 | + | 0.720286i | \(0.744011\pi\) | |||||||
\(458\) | 0.635820 | − | 1.10127i | 0.0297099 | − | 0.0514591i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 4.75227 | + | 8.23117i | 0.221576 | + | 0.383780i | ||||
\(461\) | 0.0268522 | + | 0.461034i | 0.00125063 | + | 0.0214725i | 0.998876 | − | 0.0474052i | \(-0.0150952\pi\) |
−0.997625 | + | 0.0688777i | \(0.978058\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −36.8501 | + | 4.30715i | −1.71257 | + | 0.200170i | −0.915110 | − | 0.403205i | \(-0.867896\pi\) |
−0.797457 | + | 0.603375i | \(0.793822\pi\) | |||||||
\(464\) | −0.379270 | − | 1.26685i | −0.0176072 | − | 0.0588120i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −2.15365 | − | 4.99272i | −0.0997659 | − | 0.231283i | ||||
\(467\) | 25.8480 | + | 9.40792i | 1.19611 | + | 0.435347i | 0.861863 | − | 0.507141i | \(-0.169298\pi\) |
0.334242 | + | 0.942487i | \(0.391520\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1.02568 | + | 0.373316i | −0.0473614 | + | 0.0172381i | ||||
\(470\) | 2.06707 | + | 2.19096i | 0.0953467 | + | 0.101062i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 26.8451 | − | 13.4821i | 1.23564 | − | 0.620564i | ||||
\(473\) | −0.638820 | + | 10.9681i | −0.0293730 | + | 0.504315i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.71066 | − | 9.05424i | 0.124374 | − | 0.415437i | ||||
\(476\) | 1.12413 | − | 6.37527i | 0.0515245 | − | 0.292210i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −2.44425 | − | 13.8620i | −0.111798 | − | 0.634035i | ||||
\(479\) | −14.1641 | − | 1.65554i | −0.647173 | − | 0.0756436i | −0.213827 | − | 0.976871i | \(-0.568593\pi\) |
−0.433346 | + | 0.901228i | \(0.642667\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −30.5143 | + | 32.3433i | −1.39133 | + | 1.47473i | ||||
\(482\) | 4.15689 | − | 9.63674i | 0.189341 | − | 0.438942i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −6.84898 | + | 4.50465i | −0.311317 | + | 0.204757i | ||||
\(485\) | 1.64429 | 0.0746634 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 9.07752 | 0.411342 | 0.205671 | − | 0.978621i | \(-0.434062\pi\) | ||||
0.205671 | + | 0.978621i | \(0.434062\pi\) | |||||||
\(488\) | −27.1354 | + | 17.8472i | −1.22836 | + | 0.807905i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 2.09766 | − | 4.86291i | 0.0947624 | − | 0.219684i | ||||
\(491\) | −19.1344 | + | 20.2813i | −0.863524 | + | 0.915282i | −0.997127 | − | 0.0757527i | \(-0.975864\pi\) |
0.133602 | + | 0.991035i | \(0.457346\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −15.5669 | − | 1.81951i | −0.701098 | − | 0.0819467i | ||||
\(494\) | −1.75653 | − | 9.96180i | −0.0790302 | − | 0.448203i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.411853 | − | 2.33573i | 0.0184927 | − | 0.104878i | ||||
\(497\) | −2.73455 | + | 9.13405i | −0.122662 | + | 0.409718i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.38333 | − | 23.7509i | 0.0619266 | − | 1.06324i | −0.814022 | − | 0.580834i | \(-0.802727\pi\) |
0.875949 | − | 0.482404i | \(-0.160236\pi\) | |||||||
\(500\) | 12.0298 | − | 6.04157i | 0.537987 | − | 0.270187i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 14.7498 | + | 15.6339i | 0.658317 | + | 0.697775i | ||||
\(503\) | −7.57016 | + | 2.75531i | −0.337537 | + | 0.122853i | −0.505227 | − | 0.862986i | \(-0.668591\pi\) |
0.167690 | + | 0.985840i | \(0.446369\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 2.62367 | + | 0.954939i | 0.116752 | + | 0.0424942i | ||||
\(506\) | 4.32638 | + | 10.0297i | 0.192331 | + | 0.445873i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 2.12837 | + | 7.10924i | 0.0944310 | + | 0.315422i | ||||
\(509\) | −19.1743 | + | 2.24115i | −0.849884 | + | 0.0993372i | −0.529874 | − | 0.848077i | \(-0.677761\pi\) |
−0.320011 | + | 0.947414i | \(0.603687\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −0.620825 | − | 10.6592i | −0.0274637 | − | 0.471533i | ||||
\(512\) | 1.79397 | + | 3.10725i | 0.0792832 | + | 0.137323i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −6.02780 | + | 10.4405i | −0.265875 | + | 0.460509i | ||||
\(515\) | 4.90378 | + | 2.46277i | 0.216086 | + | 0.108523i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.89088 | − | 5.22637i | −0.171121 | − | 0.229855i | ||||
\(518\) | 10.4044 | + | 2.46589i | 0.457144 | + | 0.108345i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 9.03530 | − | 12.1365i | 0.396224 | − | 0.532221i | ||||
\(521\) | −2.04454 | + | 1.71557i | −0.0895727 | + | 0.0751604i | −0.686474 | − | 0.727154i | \(-0.740843\pi\) |
0.596902 | + | 0.802314i | \(0.296398\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 11.7693 | + | 9.87562i | 0.514636 | + | 0.431831i | 0.862757 | − | 0.505619i | \(-0.168736\pi\) |
−0.348121 | + | 0.937450i | \(0.613180\pi\) | |||||||
\(524\) | −24.8057 | + | 5.87906i | −1.08364 | + | 0.256828i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 7.27611 | + | 4.78557i | 0.317253 | + | 0.208661i | ||||
\(527\) | −23.4853 | − | 15.4465i | −1.02304 | − | 0.672862i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 13.0396 | − | 3.09043i | 0.566938 | − | 0.134367i | ||||
\(530\) | 9.58997 | + | 8.04694i | 0.416562 | + | 0.349537i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 3.50727 | − | 2.94295i | 0.152059 | − | 0.127593i | ||||
\(533\) | −15.7438 | + | 21.1475i | −0.681938 | + | 0.916002i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 14.4279 | + | 3.41948i | 0.623774 | + | 0.147837i | ||||
\(536\) | −1.36518 | − | 1.83376i | −0.0589668 | − | 0.0792062i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −0.156882 | − | 0.0787892i | −0.00676368 | − | 0.00339685i | ||||
\(539\) | −5.72799 | + | 9.92117i | −0.246722 | + | 0.427335i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 9.39421 | + | 16.2713i | 0.403889 | + | 0.699556i | 0.994191 | − | 0.107626i | \(-0.0343250\pi\) |
−0.590303 | + | 0.807182i | \(0.700992\pi\) | |||||||
\(542\) | −0.552983 | − | 9.49435i | −0.0237527 | − | 0.407817i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 21.6140 | − | 2.52632i | 0.926695 | − | 0.108315i | ||||
\(545\) | 3.08103 | + | 10.2914i | 0.131977 | + | 0.440833i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −4.53941 | − | 10.5235i | −0.194091 | − | 0.449954i | 0.793182 | − | 0.608984i | \(-0.208423\pi\) |
−0.987274 | + | 0.159030i | \(0.949163\pi\) | |||||||
\(548\) | −19.4583 | − | 7.08223i | −0.831216 | − | 0.302538i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 6.03132 | − | 2.19522i | 0.257176 | − | 0.0936045i | ||||
\(551\) | −7.60666 | − | 8.06259i | −0.324055 | − | 0.343478i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 13.5124 | − | 6.78616i | 0.574604 | − | 0.288577i | ||||
\(554\) | −0.540027 | + | 9.27191i | −0.0229436 | + | 0.393926i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.91044 | + | 13.0618i | −0.165840 | + | 0.553943i | ||||
\(557\) | −4.33665 | + | 24.5943i | −0.183750 | + | 1.04210i | 0.743802 | + | 0.668400i | \(0.233021\pi\) |
−0.927551 | + | 0.373695i | \(0.878091\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −3.99840 | − | 22.6761i | −0.169114 | − | 0.959095i | ||||
\(560\) | 0.501009 | + | 0.0585596i | 0.0211715 | + | 0.00247459i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 12.4066 | − | 13.1502i | 0.523339 | − | 0.554707i | ||||
\(563\) | 6.96357 | − | 16.1434i | 0.293479 | − | 0.680362i | −0.706137 | − | 0.708076i | \(-0.749564\pi\) |
0.999616 | + | 0.0277141i | \(0.00882279\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −17.5251 | + | 11.5264i | −0.737287 | + | 0.484921i | ||||
\(566\) | 0.247007 | 0.0103825 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −19.9700 | −0.837922 | ||||||||
\(569\) | 13.3587 | − | 8.78615i | 0.560026 | − | 0.368335i | −0.237715 | − | 0.971335i | \(-0.576399\pi\) |
0.797741 | + | 0.603000i | \(0.206028\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 4.09156 | − | 9.48530i | 0.171226 | − | 0.396947i | −0.810896 | − | 0.585190i | \(-0.801020\pi\) |
0.982123 | + | 0.188243i | \(0.0602791\pi\) | |||||||
\(572\) | −8.87297 | + | 9.40480i | −0.370998 | + | 0.393235i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 6.29696 | + | 0.736009i | 0.262830 | + | 0.0307204i | ||||
\(575\) | −3.71420 | − | 21.0643i | −0.154893 | − | 0.878441i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 6.79785 | − | 38.5525i | 0.282998 | − | 1.60496i | −0.429351 | − | 0.903138i | \(-0.641258\pi\) |
0.712349 | − | 0.701825i | \(-0.247631\pi\) | |||||||
\(578\) | −0.666776 | + | 2.22719i | −0.0277342 | + | 0.0926387i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0.380849 | − | 6.53892i | 0.0158139 | − | 0.271514i | ||||
\(581\) | −5.61058 | + | 2.81774i | −0.232766 | + | 0.116900i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −18.5832 | − | 19.6971i | −0.769639 | − | 0.815770i | ||||
\(584\) | 21.0145 | − | 7.64866i | 0.869587 | − | 0.316504i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 11.3554 | + | 4.13304i | 0.469088 | + | 0.170734i | ||||
\(587\) | 7.05091 | + | 16.3458i | 0.291022 | + | 0.674665i | 0.999518 | − | 0.0310501i | \(-0.00988515\pi\) |
−0.708496 | + | 0.705715i | \(0.750626\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −5.70176 | − | 19.0452i | −0.234937 | − | 0.784743i | ||||
\(590\) | 10.8855 | − | 1.27233i | 0.448147 | − | 0.0523809i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −0.180531 | − | 3.09960i | −0.00741978 | − | 0.127393i | ||||
\(593\) | −6.92687 | − | 11.9977i | −0.284452 | − | 0.492686i | 0.688024 | − | 0.725688i | \(-0.258478\pi\) |
−0.972476 | + | 0.233002i | \(0.925145\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 2.98914 | − | 5.17735i | 0.122543 | − | 0.212251i | ||||
\(596\) | −3.40242 | − | 1.70876i | −0.139369 | − | 0.0699935i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −13.6704 | − | 18.3625i | −0.559023 | − | 0.750898i | ||||
\(599\) | −3.52152 | − | 0.834615i | −0.143885 | − | 0.0341014i | 0.158042 | − | 0.987432i | \(-0.449482\pi\) |
−0.301927 | + | 0.953331i | \(0.597630\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.20029 | + | 8.32844i | −0.252915 | + | 0.339724i | −0.910389 | − | 0.413753i | \(-0.864218\pi\) |
0.657474 | + | 0.753477i | \(0.271625\pi\) | |||||||
\(602\) | −4.24159 | + | 3.55912i | −0.172874 | + | 0.145059i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 12.7665 | + | 10.7124i | 0.519462 | + | 0.435880i | ||||
\(605\) | −7.36628 | + | 1.74584i | −0.299482 | + | 0.0709785i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −11.2230 | − | 7.38148i | −0.455527 | − | 0.299605i | 0.300932 | − | 0.953646i | \(-0.402702\pi\) |
−0.756459 | + | 0.654041i | \(0.773073\pi\) | |||||||
\(608\) | 12.8585 | + | 8.45717i | 0.521481 | + | 0.342984i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −11.5297 | + | 2.73258i | −0.466822 | + | 0.110639i | ||||
\(611\) | 10.4607 | + | 8.77758i | 0.423195 | + | 0.355103i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 22.2652 | − | 18.6827i | 0.899281 | − | 0.754587i | −0.0707686 | − | 0.997493i | \(-0.522545\pi\) |
0.970050 | + | 0.242906i | \(0.0781007\pi\) | |||||||
\(614\) | −1.88481 | + | 2.53175i | −0.0760649 | + | 0.102173i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 7.65817 | + | 1.81502i | 0.308557 | + | 0.0731292i | ||||
\(617\) | −7.42289 | − | 9.97068i | −0.298834 | − | 0.401404i | 0.627191 | − | 0.778866i | \(-0.284205\pi\) |
−0.926025 | + | 0.377461i | \(0.876797\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 30.8888 | + | 15.5129i | 1.24153 | + | 0.623518i | 0.943605 | − | 0.331073i | \(-0.107411\pi\) |
0.297921 | + | 0.954591i | \(0.403707\pi\) | |||||||
\(620\) | 5.87380 | − | 10.1737i | 0.235898 | − | 0.408586i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −5.13533 | − | 8.89464i | −0.205908 | − | 0.356643i | ||||
\(623\) | −0.254762 | − | 4.37409i | −0.0102068 | − | 0.175244i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −5.25856 | + | 0.614638i | −0.210343 | + | 0.0245855i | ||||
\(626\) | 1.62598 | + | 5.43116i | 0.0649874 | + | 0.217073i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0.657320 | + | 1.52384i | 0.0262299 | + | 0.0608078i | ||||
\(629\) | −34.5789 | − | 12.5857i | −1.37875 | − | 0.501825i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 12.4258 | − | 4.52262i | 0.494663 | − | 0.180042i | −0.0826292 | − | 0.996580i | \(-0.526332\pi\) |
0.577292 | + | 0.816538i | \(0.304109\pi\) | |||||||
\(632\) | 21.7332 | + | 23.0359i | 0.864502 | + | 0.916318i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −11.1189 | + | 5.58410i | −0.441586 | + | 0.221773i | ||||
\(635\) | −0.398477 | + | 6.84158i | −0.0158131 | + | 0.271500i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 6.88597 | − | 23.0007i | 0.272832 | − | 0.911323i | ||||
\(638\) | 1.30714 | − | 7.41317i | 0.0517502 | − | 0.293490i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 1.69021 | + | 9.58567i | 0.0668115 | + | 0.378907i | ||||
\(641\) | −5.23723 | − | 0.612144i | −0.206858 | − | 0.0241782i | 0.0120327 | − | 0.999928i | \(-0.496170\pi\) |
−0.218891 | + | 0.975749i | \(0.570244\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −3.00341 | + | 3.18343i | −0.118443 | + | 0.125542i | −0.783882 | − | 0.620910i | \(-0.786763\pi\) |
0.665439 | + | 0.746453i | \(0.268245\pi\) | |||||||
\(644\) | 4.10395 | − | 9.51403i | 0.161718 | − | 0.374905i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 6.99401 | − | 4.60003i | 0.275176 | − | 0.180986i | ||||
\(647\) | −5.42624 | −0.213327 | −0.106664 | − | 0.994295i | \(-0.534017\pi\) | ||||
−0.106664 | + | 0.994295i | \(0.534017\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −23.7069 | −0.930576 | ||||||||
\(650\) | −11.2387 | + | 7.39180i | −0.440817 | + | 0.289930i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −6.39588 | + | 14.8273i | −0.250482 | + | 0.580683i | ||||
\(653\) | 7.61797 | − | 8.07457i | 0.298114 | − | 0.315982i | −0.560951 | − | 0.827849i | \(-0.689564\pi\) |
0.859065 | + | 0.511867i | \(0.171046\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −23.3831 | − | 2.73309i | −0.913653 | − | 0.106791i | ||||
\(656\) | −0.319672 | − | 1.81295i | −0.0124811 | − | 0.0707837i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0.570212 | − | 3.23383i | 0.0222292 | − | 0.126068i | ||||
\(659\) | −2.13247 | + | 7.12294i | −0.0830691 | + | 0.277470i | −0.989425 | − | 0.145045i | \(-0.953667\pi\) |
0.906356 | + | 0.422515i | \(0.138853\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 0.222789 | − | 3.82514i | 0.00866548 | − | 0.148781i | −0.991200 | − | 0.132373i | \(-0.957740\pi\) |
0.999865 | − | 0.0164071i | \(-0.00522278\pi\) | |||||||
\(662\) | 2.74970 | − | 1.38095i | 0.106870 | − | 0.0536722i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −9.02405 | − | 9.56493i | −0.350201 | − | 0.371191i | ||||
\(665\) | 3.97311 | − | 1.44609i | 0.154071 | − | 0.0560771i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −23.5726 | − | 8.57971i | −0.912733 | − | 0.332208i | ||||
\(668\) | 1.97281 | + | 4.57348i | 0.0763302 | + | 0.176953i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −0.239206 | − | 0.799005i | −0.00924134 | − | 0.0308682i | ||||
\(671\) | 25.4576 | − | 2.97557i | 0.982781 | − | 0.114871i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −2.44739 | − | 42.0201i | −0.0943400 | − | 1.61975i | −0.630880 | − | 0.775880i | \(-0.717306\pi\) |
0.536540 | − | 0.843875i | \(-0.319731\pi\) | |||||||
\(674\) | 7.68230 | + | 13.3061i | 0.295911 | + | 0.512533i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 5.05953 | − | 8.76336i | 0.194597 | − | 0.337052i | ||||
\(677\) | 2.22728 | + | 1.11858i | 0.0856012 | + | 0.0429906i | 0.491085 | − | 0.871112i | \(-0.336601\pi\) |
−0.405484 | + | 0.914102i | \(0.632897\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1.07043 | − | 1.43783i | −0.0410792 | − | 0.0551789i | ||||
\(680\) | 12.1839 | + | 2.88763i | 0.467230 | + | 0.110735i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 8.06213 | − | 10.8293i | 0.308715 | − | 0.414676i | ||||
\(683\) | 11.7411 | − | 9.85194i | 0.449260 | − | 0.376974i | −0.389901 | − | 0.920857i | \(-0.627491\pi\) |
0.839161 | + | 0.543883i | \(0.183046\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −14.6488 | − | 12.2918i | −0.559701 | − | 0.469645i | ||||
\(686\) | −13.0785 | + | 3.09966i | −0.499338 | + | 0.118345i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 1.34329 | + | 0.883498i | 0.0512126 | + | 0.0336831i | ||||
\(689\) | 47.4169 | + | 31.1866i | 1.80644 | + | 1.18811i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 36.1088 | − | 8.55795i | 1.37364 | − | 0.325560i | 0.523462 | − | 0.852049i | \(-0.324640\pi\) |
0.850182 | + | 0.526489i | \(0.176492\pi\) | |||||||
\(692\) | −24.0827 | − | 20.2078i | −0.915488 | − | 0.768186i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −21.4384 | + | 17.9890i | −0.813792 | + | 0.682853i | ||||
\(695\) | −7.51902 | + | 10.0998i | −0.285213 | + | 0.383107i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −21.2301 | − | 5.03162i | −0.804146 | − | 0.190586i | ||||
\(698\) | 16.3845 | + | 22.0082i | 0.620162 | + | 0.833023i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −5.44080 | − | 2.73247i | −0.205643 | − | 0.103278i | ||||
\(701\) | 3.35489 | − | 5.81083i | 0.126712 | − | 0.219472i | −0.795689 | − | 0.605706i | \(-0.792891\pi\) |
0.922401 | + | 0.386234i | \(0.126224\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −13.0126 | − | 22.5385i | −0.490779 | − | 0.850054i | ||||
\(704\) | 0.527326 | + | 9.05384i | 0.0198743 | + | 0.341229i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −11.0384 | + | 1.29021i | −0.415436 | + | 0.0485575i | ||||
\(707\) | −0.872964 | − | 2.91590i | −0.0328312 | − | 0.109664i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −9.41920 | − | 21.8362i | −0.353745 | − | 0.820074i | −0.998451 | − | 0.0556428i | \(-0.982279\pi\) |
0.644705 | − | 0.764431i | \(-0.276980\pi\) | |||||||
\(710\) | −6.84623 | − | 2.49182i | −0.256934 | − | 0.0935165i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 8.62351 | − | 3.13870i | 0.323180 | − | 0.117628i | ||||
\(713\) | −30.8749 | − | 32.7255i | −1.15627 | − | 1.22558i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −10.6704 | + | 5.35888i | −0.399050 | + | 0.200411i | ||||
\(716\) | 0.481415 | − | 8.26557i | 0.0179913 | − | 0.308899i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −2.15648 | + | 7.20314i | −0.0804790 | + | 0.268819i | ||||
\(719\) | 7.41202 | − | 42.0356i | 0.276422 | − | 1.56766i | −0.457988 | − | 0.888958i | \(-0.651430\pi\) |
0.734410 | − | 0.678706i | \(-0.237459\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.03880 | − | 5.89131i | −0.0386868 | − | 0.219404i | ||||
\(722\) | −9.83981 | − | 1.15011i | −0.366200 | − | 0.0428026i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 5.55134 | − | 5.88408i | 0.206314 | − | 0.218680i | ||||
\(725\) | −5.83833 | + | 13.5348i | −0.216830 | + | 0.502668i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −15.9209 | + | 10.4713i | −0.590472 | + | 0.388360i | −0.809293 | − | 0.587405i | \(-0.800149\pi\) |
0.218821 | + | 0.975765i | \(0.429779\pi\) | |||||||
\(728\) | −16.4946 | −0.611329 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 8.15871 | 0.301967 | ||||||||
\(731\) | 15.9205 | − | 10.4711i | 0.588840 | − | 0.387286i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −7.11488 | + | 16.4941i | −0.262794 | + | 0.609225i | −0.997614 | − | 0.0690370i | \(-0.978007\pi\) |
0.734820 | + | 0.678262i | \(0.237267\pi\) | |||||||
\(734\) | 14.6364 | − | 15.5137i | 0.540240 | − | 0.572621i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 34.5946 | + | 4.04353i | 1.27517 | + | 0.149046i | ||||
\(737\) | 0.313285 | + | 1.77673i | 0.0115400 | + | 0.0654466i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.16602 | − | 12.2841i | 0.0796782 | − | 0.451878i | −0.918700 | − | 0.394955i | \(-0.870760\pi\) |
0.998379 | − | 0.0569224i | \(-0.0181288\pi\) | |||||||
\(740\) | 4.41065 | − | 14.7326i | 0.162139 | − | 0.541580i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.793529 | − | 13.6244i | 0.0291314 | − | 0.500166i | ||||
\(743\) | 23.1603 | − | 11.6315i | 0.849668 | − | 0.426719i | 0.0299942 | − | 0.999550i | \(-0.490451\pi\) |
0.819674 | + | 0.572831i | \(0.194155\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −2.41288 | − | 2.55750i | −0.0884010 | − | 0.0936996i | ||||
\(746\) | −17.1175 | + | 6.23026i | −0.626716 | + | 0.228106i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −10.0549 | − | 3.65968i | −0.367643 | − | 0.133811i | ||||
\(749\) | −6.40239 | − | 14.8424i | −0.233938 | − | 0.542330i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −3.01027 | − | 10.0550i | −0.109846 | − | 0.366913i | 0.885336 | − | 0.464951i | \(-0.153928\pi\) |
−0.995183 | + | 0.0980389i | \(0.968743\pi\) | |||||||
\(752\) | −0.947056 | + | 0.110695i | −0.0345356 | + | 0.00403663i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0.917302 | + | 15.7495i | 0.0334062 | + | 0.573562i | ||||
\(755\) | 7.69516 | + | 13.3284i | 0.280056 | + | 0.485070i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −0.0864170 | + | 0.149679i | −0.00314088 | + | 0.00544016i | −0.867592 | − | 0.497277i | \(-0.834333\pi\) |
0.864451 | + | 0.502718i | \(0.167666\pi\) | |||||||
\(758\) | −7.84184 | − | 3.93832i | −0.284828 | − | 0.143046i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.28822 | + | 7.10331i | 0.191824 | + | 0.257664i | ||||
\(761\) | −1.82265 | − | 0.431977i | −0.0660711 | − | 0.0156591i | 0.197447 | − | 0.980313i | \(-0.436735\pi\) |
−0.263518 | + | 0.964654i | \(0.584883\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 6.99343 | − | 9.39380i | 0.253179 | − | 0.340079i | ||||
\(764\) | 6.75618 | − | 5.66911i | 0.244430 | − | 0.205101i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.9549 | + | 11.7095i | 0.504211 | + | 0.423083i | ||||
\(767\) | 48.3455 | − | 11.4581i | 1.74565 | − | 0.413728i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 23.3184 | + | 15.3368i | 0.840885 | + | 0.553059i | 0.895302 | − | 0.445460i | \(-0.146960\pi\) |
−0.0544173 | + | 0.998518i | \(0.517330\pi\) | |||||||
\(770\) | 2.39895 | + | 1.57781i | 0.0864520 | + | 0.0568604i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 20.2217 | − | 4.79264i | 0.727797 | − | 0.172491i | ||||
\(773\) | −0.0418155 | − | 0.0350873i | −0.00150400 | − | 0.00126200i | 0.642035 | − | 0.766675i | \(-0.278090\pi\) |
−0.643539 | + | 0.765413i | \(0.722535\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −20.2520 | + | 16.9934i | −0.727472 | + | 0.610422i | ||||
\(776\) | 2.24198 | − | 3.01150i | 0.0804825 | − | 0.108107i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 19.7700 | + | 4.68558i | 0.708790 | + | 0.167986i | ||||
\(779\) | −9.21459 | − | 12.3773i | −0.330147 | − | 0.443464i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 14.0833 | + | 7.07292i | 0.503942 | + | 0.253089i | ||||
\(782\) | 9.47240 | − | 16.4067i | 0.338732 | − | 0.586702i | ||||
\(783\) | 0 |