Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [666,2,Mod(127,666)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(666, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("666.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 666 = 2 \cdot 3^{2} \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 666.x (of order \(9\), degree \(6\), 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: | \(5.31803677462\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 24x^{10} + 264x^{8} - 1687x^{6} + 6600x^{4} - 15000x^{2} + 15625 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 74) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 181.2 | ||
Root | \(2.14169 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 666.181 |
Dual form | 666.2.x.g.379.2 |
$q$-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 \(\left(\mathbb{Z}/666\mathbb{Z}\right)^\times\).
\(n\) | \(371\) | \(631\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | −0.266044 | + | 0.223238i | −0.118979 | + | 0.0998350i | −0.700336 | − | 0.713814i | \(-0.746966\pi\) |
0.581357 | + | 0.813649i | \(0.302522\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.773586 | − | 0.649116i | 0.292388 | − | 0.245343i | −0.484780 | − | 0.874636i | \(-0.661100\pi\) |
0.777168 | + | 0.629294i | \(0.216656\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | −0.173648 | − | 0.300767i | −0.0549124 | − | 0.0951110i | ||||
\(11\) | −2.73237 | + | 4.73261i | −0.823842 | + | 1.42694i | 0.0789595 | + | 0.996878i | \(0.474840\pi\) |
−0.902801 | + | 0.430058i | \(0.858493\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −5.97892 | − | 2.17615i | −1.65825 | − | 0.603555i | −0.668167 | − | 0.744011i | \(-0.732921\pi\) |
−0.990087 | + | 0.140456i | \(0.955143\pi\) | |||||||
\(14\) | 0.504922 | + | 0.874551i | 0.134946 | + | 0.233734i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 0.490749 | − | 0.178618i | 0.119024 | − | 0.0433212i | −0.281821 | − | 0.959467i | \(-0.590939\pi\) |
0.400846 | + | 0.916146i | \(0.368716\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.869950 | + | 4.93373i | 0.199580 | + | 1.13188i | 0.905743 | + | 0.423827i | \(0.139313\pi\) |
−0.706163 | + | 0.708049i | \(0.749575\pi\) | |||||||
\(20\) | 0.326352 | − | 0.118782i | 0.0729745 | − | 0.0265605i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −4.18624 | − | 3.51267i | −0.892509 | − | 0.748904i | ||||
\(23\) | 0.721492 | + | 1.24966i | 0.150441 | + | 0.260572i | 0.931390 | − | 0.364023i | \(-0.118597\pi\) |
−0.780948 | + | 0.624596i | \(0.785264\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.847296 | + | 4.80526i | −0.169459 | + | 0.961051i | ||||
\(26\) | 3.18132 | − | 5.51020i | 0.623908 | − | 1.08064i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −0.948944 | + | 0.345387i | −0.179333 | + | 0.0652720i | ||||
\(29\) | −3.16714 | + | 5.48565i | −0.588124 | + | 1.01866i | 0.406354 | + | 0.913716i | \(0.366800\pi\) |
−0.994478 | + | 0.104945i | \(0.966533\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.30777 | 0.594092 | 0.297046 | − | 0.954863i | \(-0.403998\pi\) | ||||
0.297046 | + | 0.954863i | \(0.403998\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0.0906868 | + | 0.514310i | 0.0155527 | + | 0.0882035i | ||||
\(35\) | −0.0609011 | + | 0.345387i | −0.0102942 | + | 0.0583811i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −5.88521 | − | 1.53765i | −0.967522 | − | 0.252787i | ||||
\(38\) | −5.00984 | −0.812704 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.0603074 | + | 0.342020i | 0.00953543 | + | 0.0540781i | ||||
\(41\) | −1.03412 | − | 0.376390i | −0.161503 | − | 0.0587822i | 0.260004 | − | 0.965608i | \(-0.416276\pi\) |
−0.421506 | + | 0.906825i | \(0.638498\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −6.27037 | −0.956222 | −0.478111 | − | 0.878299i | \(-0.658678\pi\) | ||||
−0.478111 | + | 0.878299i | \(0.658678\pi\) | |||||||
\(44\) | 4.18624 | − | 3.51267i | 0.631099 | − | 0.529555i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −1.35596 | + | 0.493529i | −0.199926 | + | 0.0727670i | ||||
\(47\) | −5.71910 | − | 9.90577i | −0.834216 | − | 1.44491i | −0.894667 | − | 0.446734i | \(-0.852587\pi\) |
0.0604506 | − | 0.998171i | \(-0.480746\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −1.03845 | + | 5.88936i | −0.148350 | + | 0.841337i | ||||
\(50\) | −4.58512 | − | 1.66885i | −0.648434 | − | 0.236011i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 4.87406 | + | 4.08982i | 0.675911 | + | 0.567156i | ||||
\(53\) | −0.0706817 | − | 0.0593090i | −0.00970887 | − | 0.00814671i | 0.637920 | − | 0.770102i | \(-0.279795\pi\) |
−0.647629 | + | 0.761956i | \(0.724239\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.329565 | − | 1.86905i | −0.0444385 | − | 0.252023i | ||||
\(56\) | −0.175358 | − | 0.994503i | −0.0234332 | − | 0.132896i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.85235 | − | 4.07160i | −0.637144 | − | 0.534628i | ||||
\(59\) | −2.29059 | − | 1.92203i | −0.298210 | − | 0.250228i | 0.481389 | − | 0.876507i | \(-0.340132\pi\) |
−0.779599 | + | 0.626279i | \(0.784577\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −3.58571 | − | 1.30509i | −0.459103 | − | 0.167100i | 0.102107 | − | 0.994773i | \(-0.467442\pi\) |
−0.561210 | + | 0.827674i | \(0.689664\pi\) | |||||||
\(62\) | −0.574388 | + | 3.25751i | −0.0729473 | + | 0.413705i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 2.07646 | − | 0.755769i | 0.257553 | − | 0.0937416i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −0.892251 | + | 0.748687i | −0.109006 | + | 0.0914667i | −0.695662 | − | 0.718370i | \(-0.744889\pi\) |
0.586656 | + | 0.809836i | \(0.300444\pi\) | |||||||
\(68\) | −0.522244 | −0.0633314 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −0.329565 | − | 0.119952i | −0.0393905 | − | 0.0143370i | ||||
\(71\) | −0.0543332 | − | 0.308139i | −0.00644816 | − | 0.0365693i | 0.981414 | − | 0.191903i | \(-0.0614659\pi\) |
−0.987862 | + | 0.155334i | \(0.950355\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 13.2325 | 1.54875 | 0.774376 | − | 0.632726i | \(-0.218064\pi\) | ||||
0.774376 | + | 0.632726i | \(0.218064\pi\) | |||||||
\(74\) | 2.53624 | − | 5.52879i | 0.294832 | − | 0.642708i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0.869950 | − | 4.93373i | 0.0997902 | − | 0.565938i | ||||
\(77\) | 0.958285 | + | 5.43471i | 0.109207 | + | 0.619342i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 7.12939 | − | 5.98227i | 0.802119 | − | 0.673058i | −0.146594 | − | 0.989197i | \(-0.546831\pi\) |
0.948713 | + | 0.316139i | \(0.102387\pi\) | |||||||
\(80\) | −0.347296 | −0.0388289 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0.550245 | − | 0.953052i | 0.0607644 | − | 0.105247i | ||||
\(83\) | 8.89395 | − | 3.23713i | 0.976238 | − | 0.355322i | 0.195862 | − | 0.980632i | \(-0.437250\pi\) |
0.780377 | + | 0.625310i | \(0.215027\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.0906868 | + | 0.157074i | −0.00983636 | + | 0.0170371i | ||||
\(86\) | 1.08884 | − | 6.17511i | 0.117412 | − | 0.665879i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 2.73237 | + | 4.73261i | 0.291272 | + | 0.504498i | ||||
\(89\) | 12.0788 | + | 10.1354i | 1.28035 | + | 1.07435i | 0.993195 | + | 0.116463i | \(0.0371555\pi\) |
0.287160 | + | 0.957883i | \(0.407289\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.03778 | + | 2.19757i | −0.632931 | + | 0.230368i | ||||
\(92\) | −0.250571 | − | 1.42106i | −0.0261239 | − | 0.148156i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 10.7484 | − | 3.91209i | 1.10861 | − | 0.403502i | ||||
\(95\) | −1.33284 | − | 1.11839i | −0.136747 | − | 0.114744i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.464564 | + | 0.804648i | 0.0471693 | + | 0.0816997i | 0.888646 | − | 0.458594i | \(-0.151647\pi\) |
−0.841477 | + | 0.540293i | \(0.818313\pi\) | |||||||
\(98\) | −5.61956 | − | 2.04535i | −0.567662 | − | 0.206612i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 2.43969 | − | 4.22567i | 0.243969 | − | 0.422567i | ||||
\(101\) | 4.28093 | + | 7.41479i | 0.425969 | + | 0.737799i | 0.996510 | − | 0.0834694i | \(-0.0266001\pi\) |
−0.570542 | + | 0.821269i | \(0.693267\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −2.47956 | + | 4.29473i | −0.244319 | + | 0.423172i | −0.961940 | − | 0.273261i | \(-0.911898\pi\) |
0.717621 | + | 0.696434i | \(0.245231\pi\) | |||||||
\(104\) | −4.87406 | + | 4.08982i | −0.477941 | + | 0.401040i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0.0706817 | − | 0.0593090i | 0.00686521 | − | 0.00576059i | ||||
\(107\) | −3.35307 | − | 1.22042i | −0.324153 | − | 0.117982i | 0.174818 | − | 0.984601i | \(-0.444066\pi\) |
−0.498971 | + | 0.866619i | \(0.666289\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −0.169947 | + | 0.963819i | −0.0162780 | + | 0.0923171i | −0.991864 | − | 0.127299i | \(-0.959369\pi\) |
0.975586 | + | 0.219616i | \(0.0704804\pi\) | |||||||
\(110\) | 1.89789 | 0.180956 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.00984 | 0.0954213 | ||||||||
\(113\) | −1.60399 | + | 9.09669i | −0.150891 | + | 0.855745i | 0.811556 | + | 0.584275i | \(0.198621\pi\) |
−0.962447 | + | 0.271470i | \(0.912490\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −0.470920 | − | 0.171401i | −0.0439136 | − | 0.0159832i | ||||
\(116\) | 4.85235 | − | 4.07160i | 0.450529 | − | 0.378039i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.29059 | − | 1.92203i | 0.210866 | − | 0.176938i | ||||
\(119\) | 0.263693 | − | 0.456729i | 0.0241727 | − | 0.0418683i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.43174 | − | 16.3362i | −0.857430 | − | 1.48511i | ||||
\(122\) | 1.90792 | − | 3.30461i | 0.172735 | − | 0.299185i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.10828 | − | 1.13132i | −0.279132 | − | 0.101596i | ||||
\(125\) | −1.71554 | − | 2.97140i | −0.153442 | − | 0.265770i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 5.18728 | + | 4.35264i | 0.460296 | + | 0.386235i | 0.843240 | − | 0.537537i | \(-0.180645\pi\) |
−0.382944 | + | 0.923772i | \(0.625090\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0.383714 | + | 2.17615i | 0.0336539 | + | 0.190861i | ||||
\(131\) | −14.2349 | + | 5.18108i | −1.24371 | + | 0.452673i | −0.878271 | − | 0.478163i | \(-0.841303\pi\) |
−0.365438 | + | 0.930836i | \(0.619081\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 3.87554 | + | 3.25197i | 0.336052 | + | 0.281981i | ||||
\(134\) | −0.582375 | − | 1.00870i | −0.0503096 | − | 0.0871387i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0.0906868 | − | 0.514310i | 0.00777633 | − | 0.0441017i | ||||
\(137\) | −4.24086 | + | 7.34539i | −0.362321 | + | 0.627559i | −0.988342 | − | 0.152247i | \(-0.951349\pi\) |
0.626021 | + | 0.779806i | \(0.284682\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 17.2324 | − | 6.27209i | 1.46164 | − | 0.531992i | 0.515820 | − | 0.856697i | \(-0.327487\pi\) |
0.945815 | + | 0.324705i | \(0.105265\pi\) | |||||||
\(140\) | 0.175358 | − | 0.303728i | 0.0148204 | − | 0.0256697i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0.312892 | 0.0262573 | ||||||||
\(143\) | 26.6355 | − | 22.3499i | 2.22737 | − | 1.86899i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −0.382004 | − | 2.16645i | −0.0317237 | − | 0.179914i | ||||
\(146\) | −2.29781 | + | 13.0315i | −0.190168 | + | 1.07850i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 5.00438 | + | 3.45777i | 0.411357 | + | 0.284227i | ||||
\(149\) | −5.45291 | −0.446720 | −0.223360 | − | 0.974736i | \(-0.571703\pi\) | ||||
−0.223360 | + | 0.974736i | \(0.571703\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.70116 | − | 15.3190i | −0.219817 | − | 1.24665i | −0.872349 | − | 0.488884i | \(-0.837404\pi\) |
0.652531 | − | 0.757762i | \(-0.273707\pi\) | |||||||
\(152\) | 4.70771 | + | 1.71347i | 0.381846 | + | 0.138981i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −5.51855 | −0.444697 | ||||||||
\(155\) | −0.880013 | + | 0.738419i | −0.0706843 | + | 0.0593112i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 3.76650 | − | 1.37089i | 0.300599 | − | 0.109409i | −0.187317 | − | 0.982299i | \(-0.559979\pi\) |
0.487916 | + | 0.872890i | \(0.337757\pi\) | |||||||
\(158\) | 4.65338 | + | 8.05989i | 0.370203 | + | 0.641211i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0.0603074 | − | 0.342020i | 0.00476772 | − | 0.0270391i | ||||
\(161\) | 1.36931 | + | 0.498388i | 0.107917 | + | 0.0392785i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 3.59446 | + | 3.01611i | 0.281540 | + | 0.236240i | 0.772611 | − | 0.634879i | \(-0.218950\pi\) |
−0.491072 | + | 0.871119i | \(0.663395\pi\) | |||||||
\(164\) | 0.843024 | + | 0.707381i | 0.0658291 | + | 0.0552372i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.64354 | + | 9.32096i | 0.127563 | + | 0.723447i | ||||
\(167\) | 0.134923 | + | 0.765189i | 0.0104407 | + | 0.0592121i | 0.989583 | − | 0.143964i | \(-0.0459848\pi\) |
−0.979142 | + | 0.203176i | \(0.934874\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 21.0533 | + | 17.6658i | 1.61948 | + | 1.35891i | ||||
\(170\) | −0.138940 | − | 0.116585i | −0.0106562 | − | 0.00894164i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 5.89222 | + | 2.14459i | 0.449277 | + | 0.163524i | ||||
\(173\) | −1.86383 | + | 10.5703i | −0.141704 | + | 0.803644i | 0.828251 | + | 0.560358i | \(0.189336\pi\) |
−0.969955 | + | 0.243286i | \(0.921775\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 2.46371 | + | 4.26727i | 0.186239 | + | 0.322575i | ||||
\(176\) | −5.13518 | + | 1.86905i | −0.387079 | + | 0.140885i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −12.0788 | + | 10.1354i | −0.905348 | + | 0.759677i | ||||
\(179\) | 11.8976 | 0.889267 | 0.444633 | − | 0.895713i | \(-0.353334\pi\) | ||||
0.444633 | + | 0.895713i | \(0.353334\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −4.12213 | − | 1.50033i | −0.306395 | − | 0.111519i | 0.184247 | − | 0.982880i | \(-0.441015\pi\) |
−0.490642 | + | 0.871361i | \(0.663238\pi\) | |||||||
\(182\) | −1.11574 | − | 6.32766i | −0.0827039 | − | 0.469037i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 1.44298 | 0.106378 | ||||||||
\(185\) | 1.90899 | − | 0.904718i | 0.140352 | − | 0.0665162i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −0.495580 | + | 2.81058i | −0.0362404 | + | 0.205530i | ||||
\(188\) | 1.98622 | + | 11.2644i | 0.144860 | + | 0.821543i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 1.33284 | − | 1.11839i | 0.0966945 | − | 0.0811363i | ||||
\(191\) | 10.4903 | 0.759053 | 0.379527 | − | 0.925181i | \(-0.376087\pi\) | ||||
0.379527 | + | 0.925181i | \(0.376087\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −4.91474 | + | 8.51259i | −0.353771 | + | 0.612749i | −0.986907 | − | 0.161291i | \(-0.948434\pi\) |
0.633136 | + | 0.774041i | \(0.281767\pi\) | |||||||
\(194\) | −0.873095 | + | 0.317780i | −0.0626845 | + | 0.0228153i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 2.99011 | − | 5.17902i | 0.213579 | − | 0.369930i | ||||
\(197\) | 2.09473 | − | 11.8798i | 0.149244 | − | 0.846402i | −0.814618 | − | 0.579998i | \(-0.803053\pi\) |
0.963861 | − | 0.266404i | \(-0.0858356\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 4.64995 | + | 8.05395i | 0.329626 | + | 0.570929i | 0.982438 | − | 0.186591i | \(-0.0597439\pi\) |
−0.652811 | + | 0.757520i | \(0.726411\pi\) | |||||||
\(200\) | 3.73783 | + | 3.13641i | 0.264304 | + | 0.221778i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −8.04552 | + | 2.92833i | −0.566081 | + | 0.206037i | ||||
\(203\) | 1.11077 | + | 6.29947i | 0.0779605 | + | 0.442136i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0.359147 | − | 0.130719i | 0.0250839 | − | 0.00912980i | ||||
\(206\) | −3.79891 | − | 3.18767i | −0.264683 | − | 0.222095i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −3.18132 | − | 5.51020i | −0.220585 | − | 0.382064i | ||||
\(209\) | −25.7265 | − | 9.36367i | −1.77954 | − | 0.647699i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.20002 | − | 3.81054i | 0.151455 | − | 0.262329i | −0.780307 | − | 0.625396i | \(-0.784937\pi\) |
0.931763 | + | 0.363068i | \(0.118271\pi\) | |||||||
\(212\) | 0.0461342 | + | 0.0799067i | 0.00316851 | + | 0.00548802i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 1.78413 | − | 3.09020i | 0.121961 | − | 0.211242i | ||||
\(215\) | 1.66820 | − | 1.39978i | 0.113770 | − | 0.0954644i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 2.55884 | − | 2.14712i | 0.173705 | − | 0.145756i | ||||
\(218\) | −0.919666 | − | 0.334731i | −0.0622876 | − | 0.0226708i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −0.329565 | + | 1.86905i | −0.0222192 | + | 0.126012i | ||||
\(221\) | −3.32285 | −0.223519 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 11.2311 | 0.752092 | 0.376046 | − | 0.926601i | \(-0.377283\pi\) | ||||
0.376046 | + | 0.926601i | \(0.377283\pi\) | |||||||
\(224\) | −0.175358 | + | 0.994503i | −0.0117166 | + | 0.0664480i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −8.67996 | − | 3.15925i | −0.577382 | − | 0.210150i | ||||
\(227\) | 11.6086 | − | 9.74076i | 0.770489 | − | 0.646517i | −0.170345 | − | 0.985384i | \(-0.554488\pi\) |
0.940834 | + | 0.338868i | \(0.110044\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11.9210 | + | 10.0029i | −0.787759 | + | 0.661008i | −0.945190 | − | 0.326522i | \(-0.894123\pi\) |
0.157431 | + | 0.987530i | \(0.449679\pi\) | |||||||
\(230\) | 0.250571 | − | 0.434003i | 0.0165222 | − | 0.0286173i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 3.16714 | + | 5.48565i | 0.207933 | + | 0.360151i | ||||
\(233\) | 6.79356 | − | 11.7668i | 0.445061 | − | 0.770868i | −0.552995 | − | 0.833184i | \(-0.686515\pi\) |
0.998056 | + | 0.0623159i | \(0.0198486\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 3.73288 | + | 1.35866i | 0.243506 | + | 0.0886289i | ||||
\(236\) | 1.49508 | + | 2.58955i | 0.0973213 | + | 0.168565i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0.404001 | + | 0.338997i | 0.0261875 | + | 0.0219739i | ||||
\(239\) | −18.3188 | + | 6.66750i | −1.18494 | + | 0.431285i | −0.857946 | − | 0.513740i | \(-0.828260\pi\) |
−0.326999 | + | 0.945025i | \(0.606037\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 0.250684 | + | 1.42170i | 0.0161480 | + | 0.0915797i | 0.991817 | − | 0.127671i | \(-0.0407500\pi\) |
−0.975669 | + | 0.219250i | \(0.929639\pi\) | |||||||
\(242\) | 17.7259 | − | 6.45169i | 1.13946 | − | 0.414730i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 2.92310 | + | 2.45277i | 0.187132 | + | 0.157022i | ||||
\(245\) | −1.03845 | − | 1.79865i | −0.0663443 | − | 0.114912i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 5.53518 | − | 31.3915i | 0.352195 | − | 1.99740i | ||||
\(248\) | 1.65388 | − | 2.86461i | 0.105022 | − | 0.181903i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 3.22416 | − | 1.17350i | 0.203913 | − | 0.0742184i | ||||
\(251\) | 5.03646 | − | 8.72340i | 0.317898 | − | 0.550616i | −0.662151 | − | 0.749371i | \(-0.730356\pi\) |
0.980049 | + | 0.198754i | \(0.0636895\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −7.88554 | −0.495760 | ||||||||
\(254\) | −5.18728 | + | 4.35264i | −0.325479 | + | 0.273109i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 1.21293 | − | 6.87888i | 0.0756607 | − | 0.429093i | −0.923323 | − | 0.384024i | \(-0.874538\pi\) |
0.998984 | − | 0.0450692i | \(-0.0143508\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −5.55082 | + | 2.63068i | −0.344911 | + | 0.163462i | ||||
\(260\) | −2.20972 | −0.137041 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −2.63050 | − | 14.9183i | −0.162513 | − | 0.921657i | ||||
\(263\) | 2.50225 | + | 0.910746i | 0.154296 | + | 0.0561590i | 0.418013 | − | 0.908441i | \(-0.362727\pi\) |
−0.263718 | + | 0.964600i | \(0.584949\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0.0320445 | 0.00196848 | ||||||||
\(266\) | −3.87554 | + | 3.25197i | −0.237625 | + | 0.199391i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.09451 | − | 0.398368i | 0.0668577 | − | 0.0243342i | ||||
\(269\) | 1.20752 | + | 2.09148i | 0.0736236 | + | 0.127520i | 0.900487 | − | 0.434883i | \(-0.143210\pi\) |
−0.826863 | + | 0.562403i | \(0.809877\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4.38472 | + | 24.8670i | −0.266353 | + | 1.51056i | 0.498803 | + | 0.866715i | \(0.333773\pi\) |
−0.765156 | + | 0.643845i | \(0.777338\pi\) | |||||||
\(272\) | 0.490749 | + | 0.178618i | 0.0297560 | + | 0.0108303i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −6.49738 | − | 5.45195i | −0.392521 | − | 0.329364i | ||||
\(275\) | −20.4263 | − | 17.1397i | −1.23175 | − | 1.03356i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.07913 | − | 17.4626i | −0.185007 | − | 1.04923i | −0.925947 | − | 0.377654i | \(-0.876731\pi\) |
0.740940 | − | 0.671571i | \(-0.234380\pi\) | |||||||
\(278\) | 3.18442 | + | 18.0598i | 0.190989 | + | 1.08315i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0.268664 | + | 0.225435i | 0.0160557 | + | 0.0134723i | ||||
\(281\) | −15.1288 | − | 12.6946i | −0.902511 | − | 0.757297i | 0.0681682 | − | 0.997674i | \(-0.478285\pi\) |
−0.970680 | + | 0.240377i | \(0.922729\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −22.8810 | − | 8.32799i | −1.36013 | − | 0.495047i | −0.444037 | − | 0.896009i | \(-0.646454\pi\) |
−0.916095 | + | 0.400961i | \(0.868676\pi\) | |||||||
\(284\) | −0.0543332 | + | 0.308139i | −0.00322408 | + | 0.0182847i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 17.3851 | + | 30.1119i | 1.02800 | + | 1.78055i | ||||
\(287\) | −1.04430 | + | 0.380095i | −0.0616432 | + | 0.0224363i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | −12.8138 | + | 10.7521i | −0.753754 | + | 0.632475i | ||||
\(290\) | 2.19988 | 0.129181 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −12.4345 | − | 4.52580i | −0.727675 | − | 0.264852i | ||||
\(293\) | 4.03707 | + | 22.8954i | 0.235848 | + | 1.33756i | 0.840820 | + | 0.541315i | \(0.182073\pi\) |
−0.604972 | + | 0.796247i | \(0.706816\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.03847 | 0.0604621 | ||||||||
\(296\) | −4.27424 | + | 4.32791i | −0.248435 | + | 0.251555i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0.946888 | − | 5.37007i | 0.0548518 | − | 0.311080i | ||||
\(299\) | −1.59429 | − | 9.04170i | −0.0922005 | − | 0.522895i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −4.85067 | + | 4.07019i | −0.279588 | + | 0.234602i | ||||
\(302\) | 15.5554 | 0.895111 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.50492 | + | 4.33865i | −0.143667 | + | 0.248839i | ||||
\(305\) | 1.24530 | − | 0.453253i | 0.0713059 | − | 0.0259532i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 5.33508 | − | 9.24063i | 0.304489 | − | 0.527391i | −0.672658 | − | 0.739953i | \(-0.734848\pi\) |
0.977147 | + | 0.212563i | \(0.0681809\pi\) | |||||||
\(308\) | 0.958285 | − | 5.43471i | 0.0546034 | − | 0.309671i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −0.574388 | − | 0.994869i | −0.0326230 | − | 0.0565047i | ||||
\(311\) | −13.0382 | − | 10.9403i | −0.739326 | − | 0.620368i | 0.193330 | − | 0.981134i | \(-0.438071\pi\) |
−0.932657 | + | 0.360765i | \(0.882516\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −10.2525 | + | 3.73159i | −0.579503 | + | 0.210922i | −0.615106 | − | 0.788444i | \(-0.710887\pi\) |
0.0356035 | + | 0.999366i | \(0.488665\pi\) | |||||||
\(314\) | 0.696020 | + | 3.94733i | 0.0392787 | + | 0.222761i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −8.74550 | + | 3.18310i | −0.491973 | + | 0.179063i | ||||
\(317\) | 22.0930 | + | 18.5382i | 1.24086 | + | 1.04121i | 0.997456 | + | 0.0712854i | \(0.0227101\pi\) |
0.243409 | + | 0.969924i | \(0.421734\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −17.3076 | − | 29.9777i | −0.969042 | − | 1.67843i | ||||
\(320\) | 0.326352 | + | 0.118782i | 0.0182436 | + | 0.00664014i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −0.728595 | + | 1.26196i | −0.0406030 | + | 0.0703264i | ||||
\(323\) | 1.30818 | + | 2.26584i | 0.0727892 | + | 0.126075i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 15.5229 | − | 26.8864i | 0.861054 | − | 1.49139i | ||||
\(326\) | −3.59446 | + | 3.01611i | −0.199079 | + | 0.167047i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −0.843024 | + | 0.707381i | −0.0465482 | + | 0.0390586i | ||||
\(329\) | −10.8542 | − | 3.95061i | −0.598412 | − | 0.217804i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.687569 | − | 3.89939i | 0.0377922 | − | 0.214330i | −0.960064 | − | 0.279782i | \(-0.909738\pi\) |
0.997856 | + | 0.0654519i | \(0.0208489\pi\) | |||||||
\(332\) | −9.46475 | −0.519446 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −0.776993 | −0.0425152 | ||||||||
\(335\) | 0.0702431 | − | 0.398368i | 0.00383779 | − | 0.0217652i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 4.01886 | + | 1.46274i | 0.218921 | + | 0.0796807i | 0.449152 | − | 0.893455i | \(-0.351726\pi\) |
−0.230231 | + | 0.973136i | \(0.573948\pi\) | |||||||
\(338\) | −21.0533 | + | 17.6658i | −1.14515 | + | 0.960893i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0.138940 | − | 0.116585i | 0.00753509 | − | 0.00632269i | ||||
\(341\) | −9.03806 | + | 15.6544i | −0.489438 | + | 0.847732i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.55400 | + | 11.3519i | 0.353883 | + | 0.612943i | ||||
\(344\) | −3.13518 | + | 5.43030i | −0.169038 | + | 0.292782i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −10.0860 | − | 3.67102i | −0.542229 | − | 0.197355i | ||||
\(347\) | −5.06401 | − | 8.77113i | −0.271850 | − | 0.470859i | 0.697485 | − | 0.716599i | \(-0.254302\pi\) |
−0.969336 | + | 0.245740i | \(0.920969\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −5.50852 | − | 4.62220i | −0.294864 | − | 0.247421i | 0.483338 | − | 0.875434i | \(-0.339424\pi\) |
−0.778203 | + | 0.628013i | \(0.783869\pi\) | |||||||
\(350\) | −4.63026 | + | 1.68528i | −0.247498 | + | 0.0900819i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.948944 | − | 5.38173i | −0.0505789 | − | 0.286847i | ||||
\(353\) | −32.0012 | + | 11.6475i | −1.70325 | + | 0.619933i | −0.996189 | − | 0.0872167i | \(-0.972203\pi\) |
−0.707064 | + | 0.707150i | \(0.749981\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.0832432 | + | 0.0698494i | 0.00441809 | + | 0.00370722i | ||||
\(356\) | −7.88391 | − | 13.6553i | −0.417846 | − | 0.723731i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −2.06599 | + | 11.7168i | −0.109191 | + | 0.619254i | ||||
\(359\) | 4.93976 | − | 8.55592i | 0.260711 | − | 0.451564i | −0.705720 | − | 0.708491i | \(-0.749376\pi\) |
0.966431 | + | 0.256926i | \(0.0827098\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.73076 | + | 2.08582i | −0.301619 | + | 0.109780i | ||||
\(362\) | 2.19334 | − | 3.79897i | 0.115279 | − | 0.199670i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.42527 | 0.336776 | ||||||||
\(365\) | −3.52044 | + | 2.95400i | −0.184268 | + | 0.154620i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −5.88735 | − | 33.3888i | −0.307317 | − | 1.74288i | −0.612391 | − | 0.790555i | \(-0.709792\pi\) |
0.305074 | − | 0.952329i | \(-0.401319\pi\) | |||||||
\(368\) | −0.250571 | + | 1.42106i | −0.0130619 | + | 0.0740780i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0.559481 | + | 2.03709i | 0.0290860 | + | 0.105903i | ||||
\(371\) | −0.0931767 | −0.00483749 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 5.44457 | + | 30.8777i | 0.281909 | + | 1.59879i | 0.716121 | + | 0.697976i | \(0.245916\pi\) |
−0.434212 | + | 0.900811i | \(0.642973\pi\) | |||||||
\(374\) | −2.68182 | − | 0.976103i | −0.138674 | − | 0.0504731i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −11.4382 | −0.589880 | ||||||||
\(377\) | 30.8737 | − | 25.9061i | 1.59008 | − | 1.33423i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −10.0119 | + | 3.64403i | −0.514276 | + | 0.187181i | −0.586104 | − | 0.810236i | \(-0.699339\pi\) |
0.0718279 | + | 0.997417i | \(0.477117\pi\) | |||||||
\(380\) | 0.869950 | + | 1.50680i | 0.0446275 | + | 0.0772971i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −1.82163 | + | 10.3310i | −0.0932025 | + | 0.528577i | ||||
\(383\) | 18.2315 | + | 6.63571i | 0.931585 | + | 0.339069i | 0.762838 | − | 0.646590i | \(-0.223806\pi\) |
0.168747 | + | 0.985659i | \(0.446028\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −1.46818 | − | 1.23195i | −0.0748253 | − | 0.0627859i | ||||
\(386\) | −7.52982 | − | 6.31827i | −0.383258 | − | 0.321592i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −0.161341 | − | 0.915012i | −0.00819087 | − | 0.0464527i | ||||
\(389\) | −3.24705 | − | 18.4149i | −0.164632 | − | 0.933674i | −0.949443 | − | 0.313939i | \(-0.898351\pi\) |
0.784811 | − | 0.619735i | \(-0.212760\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 0.577283 | + | 0.484398i | 0.0291945 | + | 0.0244971i | ||||
\(392\) | 4.58111 | + | 3.84401i | 0.231381 | + | 0.194152i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 11.3356 | + | 4.12582i | 0.571079 | + | 0.207856i | ||||
\(395\) | −0.561266 | + | 3.18310i | −0.0282404 | + | 0.160159i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 11.9316 | + | 20.6661i | 0.598829 | + | 1.03720i | 0.992994 | + | 0.118163i | \(0.0377005\pi\) |
−0.394165 | + | 0.919040i | \(0.628966\pi\) | |||||||
\(398\) | −8.73905 | + | 3.18075i | −0.438049 | + | 0.159437i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −3.73783 | + | 3.13641i | −0.186891 | + | 0.156820i | ||||
\(401\) | −17.8350 | −0.890638 | −0.445319 | − | 0.895372i | \(-0.646910\pi\) | ||||
−0.445319 | + | 0.895372i | \(0.646910\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −19.7769 | − | 7.19819i | −0.985156 | − | 0.358568i | ||||
\(404\) | −1.48675 | − | 8.43179i | −0.0739687 | − | 0.419497i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −6.39665 | −0.317460 | ||||||||
\(407\) | 23.3577 | − | 23.6510i | 1.15780 | − | 1.17233i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.73417 | + | 9.83496i | −0.0857492 | + | 0.486308i | 0.911443 | + | 0.411426i | \(0.134969\pi\) |
−0.997192 | + | 0.0748818i | \(0.976142\pi\) | |||||||
\(410\) | 0.0663677 | + | 0.376390i | 0.00327767 | + | 0.0185886i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 3.79891 | − | 3.18767i | 0.187159 | − | 0.157045i | ||||
\(413\) | −3.01959 | −0.148584 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.64354 | + | 2.84669i | −0.0806780 | + | 0.139738i | ||||
\(416\) | 5.97892 | − | 2.17615i | 0.293141 | − | 0.106694i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 13.6888 | − | 23.7096i | 0.669540 | − | 1.15968i | ||||
\(419\) | −6.25638 | + | 35.4817i | −0.305644 | + | 1.73340i | 0.314812 | + | 0.949154i | \(0.398059\pi\) |
−0.620456 | + | 0.784241i | \(0.713052\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −11.1668 | − | 19.3414i | −0.544235 | − | 0.942643i | −0.998655 | − | 0.0518555i | \(-0.983486\pi\) |
0.454419 | − | 0.890788i | \(-0.349847\pi\) | |||||||
\(422\) | 3.37062 | + | 2.82829i | 0.164079 | + | 0.137679i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −0.0867039 | + | 0.0315576i | −0.00421071 | + | 0.00153257i | ||||
\(425\) | 0.442496 | + | 2.50952i | 0.0214642 | + | 0.121729i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.62101 | + | 1.31794i | −0.175233 | + | 0.0637796i | ||||
\(428\) | 2.73344 | + | 2.29363i | 0.132126 | + | 0.110867i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.08884 | + | 1.88592i | 0.0525084 | + | 0.0909472i | ||||
\(431\) | 29.3710 | + | 10.6902i | 1.41475 | + | 0.514928i | 0.932521 | − | 0.361116i | \(-0.117604\pi\) |
0.482231 | + | 0.876044i | \(0.339827\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −2.71093 | + | 4.69547i | −0.130279 | + | 0.225650i | −0.923784 | − | 0.382914i | \(-0.874921\pi\) |
0.793505 | + | 0.608564i | \(0.208254\pi\) | |||||||
\(434\) | 1.67017 | + | 2.89281i | 0.0801705 | + | 0.138859i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0.489344 | − | 0.847568i | 0.0234353 | − | 0.0405912i | ||||
\(437\) | −5.53783 | + | 4.64679i | −0.264910 | + | 0.222286i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −11.8195 | + | 9.91772i | −0.564113 | + | 0.473347i | −0.879687 | − | 0.475554i | \(-0.842248\pi\) |
0.315573 | + | 0.948901i | \(0.397803\pi\) | |||||||
\(440\) | −1.78343 | − | 0.649116i | −0.0850217 | − | 0.0309454i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0.577007 | − | 3.27237i | 0.0274454 | − | 0.155651i | ||||
\(443\) | 8.45523 | 0.401720 | 0.200860 | − | 0.979620i | \(-0.435626\pi\) | ||||
0.200860 | + | 0.979620i | \(0.435626\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −5.47610 | −0.259592 | ||||||||
\(446\) | −1.95027 | + | 11.0605i | −0.0923478 | + | 0.523730i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −0.948944 | − | 0.345387i | −0.0448334 | − | 0.0163180i | ||||
\(449\) | −27.8798 | + | 23.3939i | −1.31573 | + | 1.10403i | −0.328538 | + | 0.944491i | \(0.606556\pi\) |
−0.987192 | + | 0.159538i | \(0.949000\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.60691 | − | 3.86566i | 0.216931 | − | 0.182027i | ||||
\(452\) | 4.61851 | − | 7.99950i | 0.217236 | − | 0.376265i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 7.57697 | + | 13.1237i | 0.355605 | + | 0.615925i | ||||
\(455\) | 1.11574 | − | 1.93251i | 0.0523066 | − | 0.0905976i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −12.2550 | − | 4.46044i | −0.573263 | − | 0.208651i | 0.0390893 | − | 0.999236i | \(-0.487554\pi\) |
−0.612352 | + | 0.790585i | \(0.709777\pi\) | |||||||
\(458\) | −7.78085 | − | 13.4768i | −0.363575 | − | 0.629731i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0.383898 | + | 0.322128i | 0.0178993 | + | 0.0150193i | ||||
\(461\) | 16.5840 | − | 6.03608i | 0.772393 | − | 0.281128i | 0.0743962 | − | 0.997229i | \(-0.476297\pi\) |
0.697997 | + | 0.716101i | \(0.254075\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.60063 | + | 26.0915i | 0.213809 | + | 1.21257i | 0.882961 | + | 0.469447i | \(0.155547\pi\) |
−0.669151 | + | 0.743126i | \(0.733342\pi\) | |||||||
\(464\) | −5.95228 | + | 2.16645i | −0.276328 | + | 0.100575i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 10.4083 | + | 8.73363i | 0.482157 | + | 0.404578i | ||||
\(467\) | −9.54875 | − | 16.5389i | −0.441864 | − | 0.765330i | 0.555964 | − | 0.831206i | \(-0.312349\pi\) |
−0.997828 | + | 0.0658760i | \(0.979016\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −0.204248 | + | 1.15835i | −0.00943129 | + | 0.0534875i | ||||
\(470\) | −1.98622 | + | 3.44024i | −0.0916176 | + | 0.158686i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −2.80983 | + | 1.02269i | −0.129333 | + | 0.0470733i | ||||
\(473\) | 17.1330 | − | 29.6752i | 0.787776 | − | 1.36447i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −24.4450 | −1.12161 | ||||||||
\(476\) | −0.404001 | + | 0.338997i | −0.0185173 | + | 0.0155379i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −3.38518 | − | 19.1983i | −0.154834 | − | 0.878110i | ||||
\(479\) | −3.33101 | + | 18.8911i | −0.152198 | + | 0.863156i | 0.809106 | + | 0.587663i | \(0.199952\pi\) |
−0.961303 | + | 0.275492i | \(0.911159\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 31.8410 | + | 22.0006i | 1.45183 | + | 1.00314i | ||||
\(482\) | −1.44363 | −0.0657556 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 3.27561 | + | 18.5769i | 0.148891 | + | 0.844404i | ||||
\(485\) | −0.303223 | − | 0.110364i | −0.0137686 | − | 0.00501137i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −35.7577 | −1.62034 | −0.810168 | − | 0.586197i | \(-0.800624\pi\) | ||||
−0.810168 | + | 0.586197i | \(0.800624\pi\) | |||||||
\(488\) | −2.92310 | + | 2.45277i | −0.132322 | + | 0.111032i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 1.95165 | − | 0.710344i | 0.0881667 | − | 0.0320901i | ||||
\(491\) | 14.8866 | + | 25.7843i | 0.671822 | + | 1.16363i | 0.977387 | + | 0.211459i | \(0.0678214\pi\) |
−0.305565 | + | 0.952171i | \(0.598845\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −0.574436 | + | 3.25779i | −0.0258713 | + | 0.146723i | ||||
\(494\) | 29.9535 | + | 10.9022i | 1.34767 | + | 0.490512i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.53390 | + | 2.12619i | 0.113775 | + | 0.0954688i | ||||
\(497\) | −0.242049 | − | 0.203103i | −0.0108574 | − | 0.00911043i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 4.30958 | + | 24.4409i | 0.192923 | + | 1.09412i | 0.915345 | + | 0.402670i | \(0.131918\pi\) |
−0.722422 | + | 0.691453i | \(0.756971\pi\) | |||||||
\(500\) | 0.595800 | + | 3.37895i | 0.0266450 | + | 0.151111i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 7.71630 | + | 6.47475i | 0.344395 | + | 0.288982i | ||||
\(503\) | −10.4375 | − | 8.75811i | −0.465386 | − | 0.390505i | 0.379722 | − | 0.925100i | \(-0.376019\pi\) |
−0.845108 | + | 0.534596i | \(0.820464\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.79418 | − | 1.01700i | −0.124339 | − | 0.0452558i | ||||
\(506\) | 1.36931 | − | 7.76574i | 0.0608733 | − | 0.345229i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −3.38575 | − | 5.86430i | −0.150219 | − | 0.260186i | ||||
\(509\) | 19.8285 | − | 7.21697i | 0.878881 | − | 0.319886i | 0.137123 | − | 0.990554i | \(-0.456215\pi\) |
0.741758 | + | 0.670668i | \(0.233992\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 10.2365 | − | 8.58945i | 0.452836 | − | 0.379975i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6.56375 | + | 2.38901i | 0.289515 | + | 0.105375i | ||||
\(515\) | −0.299072 | − | 1.69612i | −0.0131787 | − | 0.0747400i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 62.5069 | 2.74905 | ||||||||
\(518\) | −1.62682 | − | 5.92330i | −0.0714784 | − | 0.260255i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.383714 | − | 2.17615i | 0.0168270 | − | 0.0954305i | ||||
\(521\) | −0.510798 | − | 2.89688i | −0.0223784 | − | 0.126914i | 0.971572 | − | 0.236745i | \(-0.0760804\pi\) |
−0.993950 | + | 0.109830i | \(0.964969\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 8.30708 | − | 6.97047i | 0.363243 | − | 0.304797i | −0.442839 | − | 0.896601i | \(-0.646029\pi\) |
0.806082 | + | 0.591804i | \(0.201584\pi\) | |||||||
\(524\) | 15.1485 | 0.661764 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.33142 | + | 2.30609i | −0.0580527 | + | 0.100550i | ||||
\(527\) | 1.62328 | − | 0.590827i | 0.0707113 | − | 0.0257368i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 10.4589 | − | 18.1153i | 0.454735 | − | 0.787624i | ||||
\(530\) | −0.00556446 | + | 0.0315576i | −0.000241705 | + | 0.00137078i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −2.52958 | − | 4.38137i | −0.109671 | − | 0.189956i | ||||
\(533\) | 5.36386 | + | 4.50081i | 0.232334 | + | 0.194952i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.16451 | − | 0.423846i | 0.0503461 | − | 0.0183245i | ||||
\(536\) | 0.202257 | + | 1.14706i | 0.00873616 | + | 0.0495452i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −2.26939 | + | 0.825991i | −0.0978404 | + | 0.0356110i | ||||
\(539\) | −25.0346 | − | 21.0065i | −1.07832 | − | 0.904815i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −4.43868 | − | 7.68801i | −0.190834 | − | 0.330534i | 0.754693 | − | 0.656078i | \(-0.227786\pi\) |
−0.945527 | + | 0.325544i | \(0.894452\pi\) | |||||||
\(542\) | −23.7278 | − | 8.63621i | −1.01920 | − | 0.370957i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −0.261122 | + | 0.452277i | −0.0111955 | + | 0.0193912i | ||||
\(545\) | −0.169947 | − | 0.294357i | −0.00727974 | − | 0.0126089i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 18.2649 | − | 31.6358i | 0.780952 | − | 1.35265i | −0.150436 | − | 0.988620i | \(-0.548068\pi\) |
0.931388 | − | 0.364028i | \(-0.118599\pi\) | |||||||
\(548\) | 6.49738 | − | 5.45195i | 0.277554 | − | 0.232896i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 20.4263 | − | 17.1397i | 0.870979 | − | 0.730838i | ||||
\(551\) | −29.8200 | − | 10.8536i | −1.27038 | − | 0.462379i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.63201 | − | 9.25560i | 0.0694002 | − | 0.393588i | ||||
\(554\) | 17.7320 | 0.753360 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −18.3384 | −0.777720 | ||||||||
\(557\) | −6.37699 | + | 36.1657i | −0.270202 | + | 1.53239i | 0.483601 | + | 0.875288i | \(0.339329\pi\) |
−0.753803 | + | 0.657101i | \(0.771783\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 37.4900 | + | 13.6453i | 1.58566 | + | 0.577133i | ||||
\(560\) | −0.268664 | + | 0.225435i | −0.0113531 | + | 0.00952639i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 15.1288 | − | 12.6946i | 0.638172 | − | 0.535490i | ||||
\(563\) | 0.238456 | − | 0.413018i | 0.0100497 | − | 0.0174066i | −0.860957 | − | 0.508678i | \(-0.830134\pi\) |
0.871007 | + | 0.491271i | \(0.163468\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.60399 | − | 2.77820i | −0.0674805 | − | 0.116880i | ||||
\(566\) | 12.1747 | − | 21.0872i | 0.511741 | − | 0.886361i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −0.294023 | − | 0.107015i | −0.0123369 | − | 0.00449027i | ||||
\(569\) | 4.54906 | + | 7.87920i | 0.190706 | + | 0.330313i | 0.945485 | − | 0.325667i | \(-0.105589\pi\) |
−0.754778 | + | 0.655980i | \(0.772255\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.6081 | + | 16.4532i | 0.820574 | + | 0.688543i | 0.953106 | − | 0.302635i | \(-0.0978664\pi\) |
−0.132532 | + | 0.991179i | \(0.542311\pi\) | |||||||
\(572\) | −32.6733 | + | 11.8921i | −1.36614 | + | 0.497234i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −0.192979 | − | 1.09444i | −0.00805480 | − | 0.0456811i | ||||
\(575\) | −6.61626 | + | 2.40812i | −0.275917 | + | 0.100426i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 11.8194 | + | 9.91764i | 0.492048 | + | 0.412877i | 0.854759 | − | 0.519024i | \(-0.173705\pi\) |
−0.362712 | + | 0.931901i | \(0.618149\pi\) | |||||||
\(578\) | −8.36363 | − | 14.4862i | −0.347881 | − | 0.602548i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −0.382004 | + | 2.16645i | −0.0158619 | + | 0.0899571i | ||||
\(581\) | 4.77896 | − | 8.27741i | 0.198265 | − | 0.343405i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 0.473815 | − | 0.172455i | 0.0196234 | − | 0.00714234i | ||||
\(584\) | 6.61627 | − | 11.4597i | 0.273783 | − | 0.474207i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −23.2486 | −0.960390 | ||||||||
\(587\) | −12.4394 | + | 10.4379i | −0.513430 | + | 0.430819i | −0.862334 | − | 0.506340i | \(-0.830998\pi\) |
0.348904 | + | 0.937158i | \(0.386554\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 2.87759 | + | 16.3196i | 0.118569 | + | 0.672439i | ||||
\(590\) | −0.180328 | + | 1.02269i | −0.00742400 | + | 0.0421036i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −3.51995 | − | 4.96084i | −0.144669 | − | 0.203889i | ||||
\(593\) | 27.0626 | 1.11133 | 0.555663 | − | 0.831407i | \(-0.312464\pi\) | ||||
0.555663 | + | 0.831407i | \(0.312464\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0.0318052 | + | 0.180376i | 0.00130389 | + | 0.00739472i | ||||
\(596\) | 5.12406 | + | 1.86501i | 0.209890 | + | 0.0763936i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 9.18118 | 0.375446 | ||||||||
\(599\) | 30.5258 | − | 25.6142i | 1.24725 | − | 1.04657i | 0.250328 | − | 0.968161i | \(-0.419461\pi\) |
0.996922 | − | 0.0784059i | \(-0.0249830\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −33.5222 | + | 12.2011i | −1.36740 | + | 0.497692i | −0.918334 | − | 0.395807i | \(-0.870465\pi\) |
−0.449065 | + | 0.893499i | \(0.648243\pi\) | |||||||
\(602\) | −3.16605 | − | 5.48376i | −0.129038 | − | 0.223501i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.70116 | + | 15.3190i | −0.109909 | + | 0.623323i | ||||
\(605\) | 6.15613 | + | 2.24065i | 0.250282 | + | 0.0910953i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −9.76538 | − | 8.19413i | −0.396365 | − | 0.332589i | 0.422722 | − | 0.906259i | \(-0.361075\pi\) |
−0.819086 | + | 0.573670i | \(0.805519\pi\) | |||||||
\(608\) | −3.83776 | − | 3.22027i | −0.155642 | − | 0.130599i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0.230123 | + | 1.30509i | 0.00931740 | + | 0.0528416i | ||||
\(611\) | 12.6376 | + | 71.6714i | 0.511263 | + | 2.89952i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −3.13519 | − | 2.63074i | −0.126629 | − | 0.106255i | 0.577274 | − | 0.816551i | \(-0.304117\pi\) |
−0.703903 | + | 0.710296i | \(0.748561\pi\) | |||||||
\(614\) | 8.17382 | + | 6.85865i | 0.329868 | + | 0.276792i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 5.18574 | + | 1.88745i | 0.208939 | + | 0.0760477i | ||||
\(617\) | −8.20856 | + | 46.5531i | −0.330464 | + | 1.87416i | 0.137640 | + | 0.990482i | \(0.456048\pi\) |
−0.468104 | + | 0.883673i | \(0.655063\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 10.5169 | + | 18.2157i | 0.422708 | + | 0.732152i | 0.996203 | − | 0.0870571i | \(-0.0277463\pi\) |
−0.573495 | + | 0.819209i | \(0.694413\pi\) | |||||||
\(620\) | 1.07950 | − | 0.392904i | 0.0433536 | − | 0.0157794i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 13.0382 | − | 10.9403i | 0.522783 | − | 0.438667i | ||||
\(623\) | 15.9230 | 0.637943 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −21.8059 | − | 7.93669i | −0.872235 | − | 0.317468i | ||||
\(626\) | −1.89458 | − | 10.7447i | −0.0757225 | − | 0.429444i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −4.00822 | −0.159945 | ||||||||
\(629\) | −3.16281 | + | 0.296606i | −0.126110 | + | 0.0118264i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −5.68830 | + | 32.2599i | −0.226448 | + | 1.28425i | 0.633451 | + | 0.773783i | \(0.281638\pi\) |
−0.859898 | + | 0.510465i | \(0.829473\pi\) | |||||||
\(632\) | −1.61610 | − | 9.16537i | −0.0642851 | − | 0.364579i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −22.0930 | + | 18.5382i | −0.877424 | + | 0.736246i | ||||
\(635\) | −2.35172 | −0.0933252 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 19.0250 | − | 32.9522i | 0.753796 | − | 1.30561i | ||||
\(638\) | 32.5277 | − | 11.8391i | 1.28779 | − | 0.468716i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −0.173648 | + | 0.300767i | −0.00686405 | + | 0.0118889i | ||||
\(641\) | −3.47857 | + | 19.7280i | −0.137395 | + | 0.779208i | 0.835766 | + | 0.549085i | \(0.185024\pi\) |
−0.973162 | + | 0.230123i | \(0.926087\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 6.69618 | + | 11.5981i | 0.264071 | + | 0.457385i | 0.967320 | − | 0.253559i | \(-0.0816012\pi\) |
−0.703249 | + | 0.710944i | \(0.748268\pi\) | |||||||
\(644\) | −1.11627 | − | 0.936663i | −0.0439873 | − | 0.0369097i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −2.45858 | + | 0.894849i | −0.0967314 | + | 0.0352074i | ||||
\(647\) | −2.56647 | − | 14.5551i | −0.100898 | − | 0.572222i | −0.992780 | − | 0.119953i | \(-0.961726\pi\) |
0.891881 | − | 0.452269i | \(-0.149385\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 15.3550 | − | 5.58876i | 0.602736 | − | 0.219378i | ||||
\(650\) | 23.7824 | + | 19.9558i | 0.932823 | + | 0.782732i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −2.34612 | − | 4.06359i | −0.0918810 | − | 0.159143i | ||||
\(653\) | −25.4991 | − | 9.28092i | −0.997857 | − | 0.363190i | −0.209099 | − | 0.977894i | \(-0.567053\pi\) |
−0.788758 | + | 0.614704i | \(0.789275\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.63050 | − | 4.55617i | 0.102782 | − | 0.178024i | ||||
\(656\) | −0.550245 | − | 0.953052i | −0.0214835 | − | 0.0372104i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 5.77540 | − | 10.0033i | 0.225149 | − | 0.389969i | ||||
\(659\) | −24.2414 | + | 20.3409i | −0.944311 | + | 0.792371i | −0.978330 | − | 0.207050i | \(-0.933614\pi\) |
0.0340197 | + | 0.999421i | \(0.489169\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 26.0376 | − | 21.8481i | 1.01274 | − | 0.849793i | 0.0240454 | − | 0.999711i | \(-0.492345\pi\) |
0.988698 | + | 0.149918i | \(0.0479009\pi\) | |||||||
\(662\) | 3.72076 | + | 1.35425i | 0.144611 | + | 0.0526343i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 1.64354 | − | 9.32096i | 0.0637816 | − | 0.361723i | ||||
\(665\) | −1.75703 | −0.0681347 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −9.14028 | −0.353913 | ||||||||
\(668\) | 0.134923 | − | 0.765189i | 0.00522035 | − | 0.0296060i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0.380118 | + | 0.138352i | 0.0146853 | + | 0.00534500i | ||||
\(671\) | 15.9740 | − | 13.4038i | 0.616669 | − | 0.517447i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 30.3717 | − | 25.4849i | 1.17074 | − | 0.982372i | 0.170749 | − | 0.985315i | \(-0.445381\pi\) |
0.999996 | + | 0.00294292i | \(0.000936763\pi\) | |||||||
\(674\) | −2.13839 | + | 3.70380i | −0.0823676 | + | 0.142665i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −13.7416 | − | 23.8011i | −0.528522 | − | 0.915426i | ||||
\(677\) | 9.65303 | − | 16.7195i | 0.370996 | − | 0.642584i | −0.618723 | − | 0.785609i | \(-0.712350\pi\) |
0.989719 | + | 0.143025i | \(0.0456830\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0.881690 | + | 0.320909i | 0.0338362 | + | 0.0123154i | ||||
\(680\) | 0.0906868 | + | 0.157074i | 0.00347768 | + | 0.00602352i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −13.8471 | − | 11.6191i | −0.530233 | − | 0.444918i | ||||
\(683\) | 1.90109 | − | 0.691940i | 0.0727432 | − | 0.0264764i | −0.305392 | − | 0.952227i | \(-0.598788\pi\) |
0.378135 | + | 0.925750i | \(0.376565\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −0.511511 | − | 2.90092i | −0.0195438 | − | 0.110838i | ||||
\(686\) | −12.3175 | + | 4.48320i | −0.470284 | + | 0.171169i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −4.80338 | − | 4.03051i | −0.183127 | − | 0.153662i | ||||
\(689\) | 0.293535 | + | 0.508417i | 0.0111828 | + | 0.0193692i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −0.242292 | + | 1.37410i | −0.00921721 | + | 0.0522734i | −0.989069 | − | 0.147450i | \(-0.952893\pi\) |
0.979852 | + | 0.199724i | \(0.0640045\pi\) | |||||||
\(692\) | 5.36667 | − | 9.29535i | 0.204010 | − | 0.353356i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 9.51723 | − | 3.46399i | 0.361269 | − | 0.131491i | ||||
\(695\) | −3.18442 | + | 5.51559i | −0.120792 | + | 0.209218i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −0.574725 | −0.0217692 | ||||||||
\(698\) | 5.50852 | − | 4.62220i | 0.208501 | − | 0.174953i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −0.855638 | − | 4.85256i | −0.0323401 | − | 0.183410i | ||||
\(701\) | 7.84895 | − | 44.5136i | 0.296451 | − | 1.68126i | −0.364797 | − | 0.931087i | \(-0.618862\pi\) |
0.661247 | − | 0.750168i | \(-0.270027\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 2.46650 | − | 30.3737i | 0.0930258 | − | 1.14557i | ||||
\(704\) | 5.46475 | 0.205960 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.91359 | − | 33.5376i | −0.222561 | − | 1.26220i | ||||
\(707\) | 8.12472 | + | 2.95716i | 0.305562 | + | 0.111215i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −28.5445 | −1.07201 | −0.536005 | − | 0.844215i | \(-0.680067\pi\) | ||||
−0.536005 | + | 0.844215i | \(0.680067\pi\) | |||||||
\(710\) | −0.0832432 | + | 0.0698494i | −0.00312406 | + | 0.00262140i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 14.8169 | − | 5.39291i | 0.555287 | − | 0.202108i | ||||
\(713\) | 2.38653 | + | 4.13359i | 0.0893761 | + | 0.154804i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −2.09690 | + | 11.8921i | −0.0784196 | + | 0.444740i | ||||
\(716\) | −11.1801 | − | 4.06921i | −0.417819 | − | 0.152074i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.56816 | + | 6.35044i | 0.282441 | + | 0.236996i | ||||
\(719\) | 13.6923 | + | 11.4892i | 0.510637 | + | 0.428475i | 0.861353 | − | 0.508007i | \(-0.169617\pi\) |
−0.350717 | + | 0.936482i | \(0.614062\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.869621 | + | 4.93187i | 0.0323864 | + | 0.183672i | ||||
\(722\) | −1.05900 | − | 6.00589i | −0.0394119 | − | 0.223516i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 3.36039 | + | 2.81970i | 0.124888 | + | 0.104793i | ||||
\(725\) | −23.6765 | − | 19.8669i | −0.879322 | − | 0.737839i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 16.3955 | + | 5.96747i | 0.608075 | + | 0.221321i | 0.627661 | − | 0.778487i | \(-0.284013\pi\) |
−0.0195860 | + | 0.999808i | \(0.506235\pi\) | |||||||
\(728\) | −1.11574 | + | 6.32766i | −0.0413520 | + | 0.234519i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.29781 | − | 3.97992i | −0.0850457 | − | 0.147303i | ||||
\(731\) | −3.07718 | + | 1.12000i | −0.113813 | + | 0.0414247i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −33.6087 | + | 28.2011i | −1.24137 | + | 1.04163i | −0.243950 | + | 0.969788i | \(0.578443\pi\) |
−0.997416 | + | 0.0718424i | \(0.977112\pi\) | |||||||
\(734\) | 33.9039 | 1.25142 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.35596 | − | 0.493529i | −0.0499814 | − | 0.0181917i | ||||
\(737\) | −1.10528 | − | 6.26837i | −0.0407136 | − | 0.230898i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 39.5017 | 1.45309 | 0.726546 | − | 0.687118i | \(-0.241124\pi\) | ||||
0.726546 | + | 0.687118i | \(0.241124\pi\) | |||||||
\(740\) | −2.10329 | + | 0.197245i | −0.0773186 | + | 0.00725087i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0.0161800 | − | 0.0917611i | 0.000593985 | − | 0.00336866i | ||||
\(743\) | −3.45404 | − | 19.5888i | −0.126716 | − | 0.718644i | −0.980274 | − | 0.197645i | \(-0.936671\pi\) |
0.853557 | − | 0.520999i | \(-0.174440\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.45072 | − | 1.21730i | 0.0531502 | − | 0.0445983i | ||||
\(746\) | −31.3540 | −1.14795 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.42697 | − | 2.47158i | 0.0521751 | − | 0.0903699i | ||||
\(749\) | −3.38608 | + | 1.23243i | −0.123725 | + | 0.0450320i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 16.6184 | − | 28.7839i | 0.606413 | − | 1.05034i | −0.385413 | − | 0.922744i | \(-0.625941\pi\) |
0.991826 | − | 0.127594i | \(-0.0407255\pi\) | |||||||
\(752\) | 1.98622 | − | 11.2644i | 0.0724301 | − | 0.410771i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 20.1514 | + | 34.9032i | 0.733870 | + | 1.27110i | ||||
\(755\) | 4.13842 | + | 3.47255i | 0.150612 | + | 0.126379i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −40.7915 | + | 14.8469i | −1.48259 | + | 0.539620i | −0.951488 | − | 0.307686i | \(-0.900445\pi\) |
−0.531105 | + | 0.847306i | \(0.678223\pi\) | |||||||
\(758\) | −1.85012 | − | 10.4926i | −0.0671994 | − | 0.381107i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.63497 | + | 0.595081i | −0.0593067 | + | 0.0215859i | ||||
\(761\) | −19.3702 | − | 16.2536i | −0.702171 | − | 0.589191i | 0.220220 | − | 0.975450i | \(-0.429323\pi\) |
−0.922390 | + | 0.386259i | \(0.873767\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0.494161 | + | 0.855912i | 0.0178898 | + | 0.0309861i | ||||
\(764\) | −9.85768 | − | 3.58790i | −0.356638 | − | 0.129806i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −9.70076 | + | 16.8022i | −0.350503 | + | 0.607089i | ||||
\(767\) | 9.51263 | + | 16.4764i | 0.343481 | + | 0.594927i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −13.8992 | + | 24.0740i | −0.501216 | + | 0.868132i | 0.498783 | + | 0.866727i | \(0.333781\pi\) |
−0.999999 | + | 0.00140492i | \(0.999553\pi\) | |||||||
\(770\) | 1.46818 | − | 1.23195i | 0.0529095 | − | 0.0443963i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 7.52982 | − | 6.31827i | 0.271004 | − | 0.227400i | ||||
\(773\) | −0.927201 | − | 0.337474i | −0.0333491 | − | 0.0121381i | 0.325292 | − | 0.945614i | \(-0.394537\pi\) |
−0.358641 | + | 0.933476i | \(0.616760\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −2.80266 | + | 15.8947i | −0.100674 | + | 0.570953i | ||||
\(776\) | 0.929128 | 0.0333538 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 18.6990 | 0.670392 | ||||||||
\(779\) | 0.957372 | − | 5.42952i | 0.0343014 | − | 0.194533i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.60676 | + | 0.584812i | 0.0574944 | + | 0.0209262i | ||||
\(782\) | −0.577283 | + | 0.484398i | −0.0206436 | + | 0.0173220i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −4.58111 | + | 3.84401i | −0.163611 | + | 0.137286i | ||||
\(785\) | −0.696020 | + | 1.20554i | −0.0248420 | + | 0.0430277i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −12.8990 | − | 22.3417i | −0.459799 | − | 0.796394i | 0.539151 | − | 0.842209i | \(-0.318745\pi\) |
−0.998950 | + | 0.0458144i | \(0.985412\pi\) | |||||||
\(788\) | −6.03154 | + | 10.4469i | −0.214865 | + | 0.372157i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −3.03728 | − | 1.10548i | −0.108062 | − | 0.0393312i | ||||
\(791\) | 4.66398 | + | 8.07825i | 0.165832 | + | 0.287229i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 18.5986 | + | 15.6061i | 0.660455 | + | 0.554188i | ||||
\(794\) | −22.4240 | + | 8.16169i | −0.795800 | + | 0.289647i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.61491 | − | 9.15861i | −0.0572390 | − | 0.324618i | ||||
\(797\) | 14.1958 | − | 5.16684i | 0.502841 | − | 0.183019i | −0.0781306 | − | 0.996943i | \(-0.524895\pi\) |
0.580971 | + | 0.813924i | \(0.302673\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −4.57599 | − | 3.83971i | −0.161887 | − | 0.135839i | ||||
\(800\) | −2.43969 | − | 4.22567i | −0.0862562 | − | 0.149400i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 3.09702 | − | 17.5641i | 0.109359 | − | 0.620208i | ||||
\(803\) | −36.1563 | + | 62.6245i | −1.27593 | + | 2.20997i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −0.475556 | + | 0.173088i | −0.0167612 | + | 0.00610056i | ||||
\(806\) | 10.5231 | − | 18.2265i | 0.370659 | − | 0.642000i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 8.56186 | 0.301205 | ||||||||
\(809\) | 32.7023 | − | 27.4405i | 1.14975 | − | 0.964757i | 0.150039 | − | 0.988680i | \(-0.452060\pi\) |
0.999714 | + | 0.0239226i | \(0.00761551\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 3.54555 | + | 20.1078i | 0.124501 | + | 0.706081i | 0.981603 | + | 0.190934i | \(0.0611517\pi\) |
−0.857102 | + | 0.515147i | \(0.827737\pi\) | |||||||
\(812\) | 1.11077 | − | 6.29947i | 0.0389802 | − | 0.221068i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 19.2356 | + | 27.1098i | 0.674209 | + | 0.950196i | ||||
\(815\) | −1.62960 | −0.0570822 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −5.45491 | − | 30.9363i | −0.190843 | − | 1.08232i | ||||
\(818\) | −9.38441 | − | 3.41565i | −0.328118 | − | 0.119425i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −0.382196 | −0.0133469 | ||||||||
\(821\) | −10.3004 | + | 8.64304i | −0.359485 | + | 0.301644i | −0.804586 | − | 0.593837i | \(-0.797613\pi\) |
0.445100 | + | 0.895481i | \(0.353168\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 38.3237 | − | 13.9487i | 1.33588 | − | 0.486221i | 0.427368 | − | 0.904078i | \(-0.359441\pi\) |
0.908513 | + | 0.417857i | \(0.137219\pi\) | |||||||
\(824\) | 2.47956 | + | 4.29473i | 0.0863797 | + | 0.149614i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0.524347 | − | 2.97372i | 0.0182444 | − | 0.103469i | ||||
\(827\) | −38.0037 | − | 13.8322i | −1.32152 | − | 0.480993i | −0.417574 | − | 0.908643i | \(-0.637120\pi\) |
−0.903945 | + | 0.427650i | \(0.859342\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.03399 | + | 1.70672i | 0.0706435 | + | 0.0592770i | 0.677426 | − | 0.735591i | \(-0.263096\pi\) |
−0.606782 | + | 0.794868i | \(0.707540\pi\) | |||||||
\(830\) | −2.51804 | − | 2.11289i | −0.0874026 | − | 0.0733395i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 1.10486 | + | 6.26597i | 0.0383041 | + | 0.217234i | ||||
\(833\) | 0.542326 | + | 3.07569i | 0.0187905 | + | 0.106566i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −0.206715 | − | 0.173454i | −0.00715366 | − | 0.00600263i | ||||
\(836\) | 20.9724 | + | 17.5979i | 0.725346 | + | 0.608638i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −33.8563 | − | 12.3227i | −1.16955 | − | 0.425680i | ||||
\(839\) | 7.48912 | − | 42.4729i | 0.258553 | − | 1.46633i | −0.528231 | − | 0.849101i | \(-0.677145\pi\) |
0.786785 | − | 0.617228i | \(-0.211744\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −5.56161 | − | 9.63298i | −0.191780 | − | 0.332172i | ||||
\(842\) | 20.9867 | − | 7.63853i | 0.723249 | − | 0.263241i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −3.37062 | + | 2.82829i | −0.116022 | + | 0.0973537i | ||||
\(845\) | −9.54479 | −0.328351 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −17.9004 | − | 6.51520i | −0.615064 | − | 0.223865i | ||||
\(848\) | −0.0160222 | − | 0.0908666i | −0.000550206 | − | 0.00312037i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −2.54823 | −0.0874036 | ||||||||
\(851\) | −2.32459 | − | 8.46391i | −0.0796860 | − | 0.290139i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −7.79993 | + | 44.2356i | −0.267064 | + | 1.51460i | 0.496027 | + | 0.868307i | \(0.334792\pi\) |
−0.763092 | + | 0.646290i | \(0.776319\pi\) | |||||||
\(854\) | −0.669135 | − | 3.79485i | −0.0228973 | − | 0.129857i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.73344 | + | 2.29363i | −0.0934272 | + | 0.0783947i | ||||
\(857\) | 1.14287 | 0.0390395 | 0.0195198 | − | 0.999809i | \(-0.493786\pi\) | ||||
0.0195198 | + | 0.999809i | \(0.493786\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −10.3483 | + | 17.9238i | −0.353080 | + | 0.611552i | −0.986787 | − | 0.162020i | \(-0.948199\pi\) |
0.633708 | + | 0.773573i | \(0.281532\pi\) | |||||||
\(860\) | −2.04635 | + | 0.744809i | −0.0697798 | + | 0.0253978i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −15.6280 | + | 27.0685i | −0.532291 | + | 0.921956i | ||||
\(863\) | 1.91838 | − | 10.8797i | 0.0653023 | − | 0.370348i | −0.934591 | − | 0.355725i | \(-0.884234\pi\) |
0.999893 | − | 0.0146230i | \(-0.00465482\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −1.86383 | − | 3.22824i | −0.0633720 | − | 0.109764i | ||||
\(866\) | −4.15339 | − | 3.48511i | −0.141138 | − | 0.118429i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.13888 | + | 1.14246i | −0.106541 | + | 0.0387776i | ||||
\(869\) | 8.83159 | + | 50.0864i | 0.299591 | + | 1.69907i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 6.96395 | − | 2.53467i | 0.235965 | − | 0.0858841i | ||||
\(872\) | 0.749718 | + | 0.629088i | 0.0253887 | + | 0.0213036i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −3.61456 | − | 6.26061i | −0.122264 | − | 0.211768i | ||||
\(875\) | −3.25590 | − | 1.18505i | −0.110069 | − | 0.0400620i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 6.18401 | − | 10.7110i | 0.208819 | − | 0.361686i | −0.742524 | − | 0.669820i | \(-0.766371\pi\) |
0.951343 | + | 0.308134i | \(0.0997046\pi\) | |||||||
\(878\) | −7.71462 | − | 13.3621i | −0.260356 | − | 0.450950i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.948944 | − | 1.64362i | 0.0319889 | − | 0.0554064i | ||||
\(881\) | −13.7758 | + | 11.5593i | −0.464120 | + | 0.389443i | −0.844644 | − | 0.535328i | \(-0.820188\pi\) |
0.380524 | + | 0.924771i | \(0.375744\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −8.21722 | + | 6.89507i | −0.276532 | + | 0.232038i | −0.770496 | − | 0.637444i | \(-0.779992\pi\) |
0.493965 | + | 0.869482i | \(0.335547\pi\) | |||||||
\(884\) | 3.12246 | + | 1.13648i | 0.105020 | + | 0.0382240i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −1.46824 | + | 8.32678i | −0.0493263 | + | 0.279744i | ||||
\(887\) | 16.7444 | 0.562222 | 0.281111 | − | 0.959675i | \(-0.409297\pi\) | ||||
0.281111 | + | 0.959675i | \(0.409297\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 6.83817 | 0.229345 | ||||||||
\(890\) | 0.950915 | − | 5.39291i | 0.0318748 | − | 0.180771i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −10.5538 | − | 3.84127i | −0.353368 | − | 0.128615i | ||||
\(893\) | 43.8971 | − | 36.8340i | 1.46896 | − | 1.23260i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −3.16528 | + | 2.65599i | −0.105804 | + | 0.0887799i | ||||
\(896\) | 0.504922 | − | 0.874551i | 0.0168683 | − | 0.0292167i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −18.1973 | − | 31.5186i | −0.607250 | − | 1.05179i | ||||
\(899\) | −10.4762 | + | 18.1453i | −0.349400 | + | 0.605179i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −0.0452806 | − | 0.0164808i | −0.00150852 | − | 0.000549055i | ||||
\(902\) | 3.00695 | + | 5.20819i | 0.100120 | + | 0.173414i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 7.07597 | + | 5.93744i | 0.235343 | + | 0.197476i | ||||
\(905\) | 1.43160 | − | 0.521060i | 0.0475880 | − | 0.0173206i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.53327 | + | 42.7233i | 0.250138 | + | 1.41860i | 0.808251 | + | 0.588838i | \(0.200415\pi\) |
−0.558113 | + | 0.829765i | \(0.688474\pi\) | |||||||
\(908\) | −14.2400 | + | 5.18295i | −0.472572 | + | 0.172002i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 1.70941 | + | 1.43436i | 0.0566663 | + | 0.0475487i | ||||
\(911\) | 5.05307 | + | 8.75217i | 0.167416 | + | 0.289972i | 0.937510 | − | 0.347957i | \(-0.113124\pi\) |
−0.770095 | + | 0.637929i | \(0.779791\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −8.98151 | + | 50.9367i | −0.297245 | + | 1.68576i | ||||
\(914\) | 6.52073 | − | 11.2942i | 0.215687 | − | 0.373580i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 14.6232 | − | 5.32242i | 0.483165 | − | 0.175858i | ||||
\(917\) | −7.64880 | + | 13.2481i | −0.252586 | + | 0.437491i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 2.82736 | 0.0932661 | 0.0466330 | − | 0.998912i | \(-0.485151\pi\) | ||||
0.0466330 | + | 0.998912i | \(0.485151\pi\) | |||||||
\(920\) | −0.383898 | + | 0.322128i | −0.0126567 | + | 0.0106203i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 3.06460 | + | 17.3802i | 0.100927 | + | 0.572386i | ||||
\(923\) | −0.345702 | + | 1.96057i | −0.0113789 | + | 0.0645331i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 12.3753 | − | 26.9771i | 0.406897 | − | 0.887001i | ||||
\(926\) | −26.4940 | −0.870646 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −1.09994 | − | 6.23806i | −0.0361072 | − | 0.204774i | ||||
\(929\) | 31.4473 | + | 11.4459i | 1.03175 | + | 0.375528i | 0.801748 | − | 0.597662i | \(-0.203903\pi\) |
0.230005 | + | 0.973189i | \(0.426126\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −29.9599 | −0.981897 | ||||||||
\(932\) | −10.4083 | + | 8.73363i | −0.340937 | + | 0.286080i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 17.9458 | − | 6.53173i | 0.587204 | − | 0.213725i | ||||
\(935\) | −0.495580 | − | 0.858370i | −0.0162072 | − | 0.0280717i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 7.99787 | − | 45.3582i | 0.261279 | − | 1.48179i | −0.518146 | − | 0.855292i | \(-0.673378\pi\) |
0.779425 | − | 0.626495i | \(-0.215511\pi\) | |||||||
\(938\) | −1.10528 | − | 0.402290i | −0.0360888 | − | 0.0131352i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −3.04307 | − | 2.55344i | −0.0992540 | − | 0.0832840i | ||||
\(941\) | 13.4316 | + | 11.2705i | 0.437858 | + | 0.367406i | 0.834907 | − | 0.550391i | \(-0.185521\pi\) |
−0.397049 | + | 0.917797i | \(0.629966\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −0.275751 | − | 1.56386i | −0.00897970 | − | 0.0509264i | ||||
\(944\) | −0.519235 | − | 2.94473i | −0.0168997 | − | 0.0958427i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 26.2493 | + | 22.0257i | 0.853437 | + | 0.716119i | ||||
\(947\) | −20.0641 | − | 16.8357i | −0.651994 | − | 0.547088i | 0.255681 | − | 0.966761i | \(-0.417700\pi\) |
−0.907675 | + | 0.419673i | \(0.862145\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −79.1163 | − | 28.7960i | −2.56822 | − | 0.934757i | ||||
\(950\) | 4.24482 | − | 24.0736i | 0.137720 | − | 0.781050i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −0.263693 | − | 0.456729i | −0.00854633 | − | 0.0148027i | ||||
\(953\) | −24.4034 | + | 8.88209i | −0.790502 | + | 0.287719i | −0.705545 | − | 0.708665i | \(-0.749298\pi\) |
−0.0849574 | + | 0.996385i | \(0.527075\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −2.79089 | + | 2.34184i | −0.0903112 | + | 0.0757801i | ||||
\(956\) | 19.4945 | 0.630496 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −18.0257 | − | 6.56080i | −0.582383 | − | 0.211970i | ||||
\(959\) | 1.48734 | + | 8.43510i | 0.0480286 | + | 0.272384i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −20.0587 | −0.647054 | ||||||||
\(962\) | −27.1955 | + | 27.5369i | −0.876817 | + | 0.887827i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0.250684 | − | 1.42170i | 0.00807398 | − | 0.0457898i | ||||
\(965\) | −0.592791 | − | 3.36188i | −0.0190826 | − | 0.108223i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 25.8686 | − | 21.7064i | 0.831879 | − | 0.698029i | −0.123843 | − | 0.992302i | \(-0.539522\pi\) |
0.955722 | + | 0.294273i | \(0.0950773\pi\) | |||||||
\(968\) | −18.8635 | −0.606295 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0.161341 | − | 0.279451i | 0.00518036 | − | 0.00897265i | ||||
\(971\) | −12.9625 | + | 4.71796i | −0.415986 | + | 0.151407i | −0.541530 | − | 0.840682i | \(-0.682155\pi\) |
0.125544 | + | 0.992088i | \(0.459932\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 9.25945 | − | 16.0378i | 0.296844 | − | 0.514150i | ||||
\(974\) | 6.20926 | − | 35.2145i | 0.198958 | − | 1.12834i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −1.90792 | − | 3.30461i | −0.0610709 | − | 0.105778i | ||||
\(977\) | 29.8644 | + | 25.0592i | 0.955448 | + | 0.801716i | 0.980207 | − | 0.197978i | \(-0.0634374\pi\) |
−0.0247589 | + | 0.999693i | \(0.507882\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −80.9706 | + | 29.4709i | −2.58783 | + | 0.941894i | ||||
\(980\) | 0.360651 | + | 2.04535i | 0.0115206 | + | 0.0653364i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −27.9776 | + | 10.1830i | −0.892802 | + | 0.324953i | ||||
\(983\) | −9.34290 | − | 7.83963i | −0.297992 | − | 0.250045i | 0.481516 | − | 0.876437i | \(-0.340086\pi\) |
−0.779508 | + | 0.626392i | \(0.784531\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2.09473 | + | 3.62818i | 0.0667438 | + | 0.115604i | ||||
\(986\) | −3.10855 | − | 1.13142i | −0.0989963 | − | 0.0360317i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −15.9379 | + | 27.6053i | −0.507052 | + | 0.878240i | ||||
\(989\) | −4.52402 | − | 7.83583i | −0.143855 | − | 0.249165i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −13.2303 | + | 22.9156i | −0.420275 | + | 0.727937i | −0.995966 | − | 0.0897299i | \(-0.971400\pi\) |
0.575691 | + | 0.817667i | \(0.304733\pi\) | |||||||
\(992\) | −2.53390 | + | 2.12619i | −0.0804513 | + | 0.0675067i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0.242049 | − | 0.203103i | 0.00767733 | − | 0.00644204i | ||||
\(995\) | −3.03504 | − | 1.10466i | −0.0962172 | − | 0.0350202i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −2.31702 | + | 13.1405i | −0.0733809 | + | 0.416164i | 0.925883 | + | 0.377809i | \(0.123323\pi\) |
−0.999264 | + | 0.0383540i | \(0.987789\pi\) | |||||||
\(998\) | −24.8179 | −0.785597 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 666.2.x.g.181.2 | 12 | ||
3.2 | odd | 2 | 74.2.f.b.33.2 | yes | 12 | ||
12.11 | even | 2 | 592.2.bc.d.33.1 | 12 | |||
37.9 | even | 9 | inner | 666.2.x.g.379.2 | 12 | ||
111.71 | odd | 18 | 2738.2.a.t.1.6 | 6 | |||
111.77 | odd | 18 | 2738.2.a.q.1.6 | 6 | |||
111.83 | odd | 18 | 74.2.f.b.9.2 | ✓ | 12 | ||
444.83 | even | 18 | 592.2.bc.d.305.1 | 12 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
74.2.f.b.9.2 | ✓ | 12 | 111.83 | odd | 18 | ||
74.2.f.b.33.2 | yes | 12 | 3.2 | odd | 2 | ||
592.2.bc.d.33.1 | 12 | 12.11 | even | 2 | |||
592.2.bc.d.305.1 | 12 | 444.83 | even | 18 | |||
666.2.x.g.181.2 | 12 | 1.1 | even | 1 | trivial | ||
666.2.x.g.379.2 | 12 | 37.9 | even | 9 | inner | ||
2738.2.a.q.1.6 | 6 | 111.77 | odd | 18 | |||
2738.2.a.t.1.6 | 6 | 111.71 | odd | 18 |