Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [74,2,Mod(7,74)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(74, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("74.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 74 = 2 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 74.f (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: | \(0.590892974957\) |
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: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 33.2 | ||
Root | \(2.14169 - 0.642788i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 74.33 |
Dual form | 74.2.f.b.9.2 |
$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).
\(n\) | \(39\) |
\(\chi(n)\) | \(e\left(\frac{5}{9}\right)\) |
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 | ||||
\(3\) | 0.504922 | + | 2.86356i | 0.291517 | + | 1.65328i | 0.681031 | + | 0.732255i | \(0.261532\pi\) |
−0.389514 | + | 0.921021i | \(0.627357\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.266044 | − | 0.223238i | 0.118979 | − | 0.0998350i | −0.581357 | − | 0.813649i | \(-0.697478\pi\) |
0.700336 | + | 0.713814i | \(0.253034\pi\) | |||||||
\(6\) | 2.90773 | 1.18708 | ||||||||
\(7\) | 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 | ||||
\(9\) | −5.12593 | + | 1.86569i | −1.70864 | + | 0.621896i | ||||
\(10\) | −0.173648 | − | 0.300767i | −0.0549124 | − | 0.0951110i | ||||
\(11\) | 2.73237 | − | 4.73261i | 0.823842 | − | 1.42694i | −0.0789595 | − | 0.996878i | \(-0.525160\pi\) |
0.902801 | − | 0.430058i | \(-0.141507\pi\) | |||||||
\(12\) | 0.504922 | − | 2.86356i | 0.145759 | − | 0.826638i | ||||
\(13\) | −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 | ||||
\(15\) | 0.773586 | + | 0.649116i | 0.199739 | + | 0.167601i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | −0.490749 | + | 0.178618i | −0.119024 | + | 0.0433212i | −0.400846 | − | 0.916146i | \(-0.631284\pi\) |
0.281821 | + | 0.959467i | \(0.409061\pi\) | |||||||
\(18\) | 0.947234 | + | 5.37203i | 0.223265 | + | 1.26620i | ||||
\(19\) | 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 | ||||
\(21\) | 2.24938 | + | 1.88745i | 0.490855 | + | 0.411876i | ||||
\(22\) | −4.18624 | − | 3.51267i | −0.892509 | − | 0.748904i | ||||
\(23\) | −0.721492 | − | 1.24966i | −0.150441 | − | 0.260572i | 0.780948 | − | 0.624596i | \(-0.214736\pi\) |
−0.931390 | + | 0.364023i | \(0.881403\pi\) | |||||||
\(24\) | −2.73237 | − | 0.994503i | −0.557744 | − | 0.203002i | ||||
\(25\) | −0.847296 | + | 4.80526i | −0.169459 | + | 0.961051i | ||||
\(26\) | −3.18132 | + | 5.51020i | −0.623908 | + | 1.08064i | ||||
\(27\) | −3.56910 | − | 6.18186i | −0.686874 | − | 1.18970i | ||||
\(28\) | −0.948944 | + | 0.345387i | −0.179333 | + | 0.0652720i | ||||
\(29\) | 3.16714 | − | 5.48565i | 0.588124 | − | 1.01866i | −0.406354 | − | 0.913716i | \(-0.633200\pi\) |
0.994478 | − | 0.104945i | \(-0.0334666\pi\) | |||||||
\(30\) | 0.773586 | − | 0.649116i | 0.141237 | − | 0.118512i | ||||
\(31\) | 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 | ||||
\(33\) | 14.9317 | + | 5.43471i | 2.59928 | + | 0.946061i | ||||
\(34\) | 0.0906868 | + | 0.514310i | 0.0155527 | + | 0.0882035i | ||||
\(35\) | 0.0609011 | − | 0.345387i | 0.0102942 | − | 0.0583811i | ||||
\(36\) | 5.45490 | 0.909151 | ||||||||
\(37\) | −5.88521 | − | 1.53765i | −0.967522 | − | 0.252787i | ||||
\(38\) | 5.00984 | 0.812704 | ||||||||
\(39\) | 3.21264 | − | 18.2198i | 0.514434 | − | 2.91750i | ||||
\(40\) | 0.0603074 | + | 0.342020i | 0.00953543 | + | 0.0540781i | ||||
\(41\) | 1.03412 | + | 0.376390i | 0.161503 | + | 0.0587822i | 0.421506 | − | 0.906825i | \(-0.361502\pi\) |
−0.260004 | + | 0.965608i | \(0.583724\pi\) | |||||||
\(42\) | 2.24938 | − | 1.88745i | 0.347087 | − | 0.291240i | ||||
\(43\) | −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 | ||||
\(45\) | −0.947234 | + | 1.64066i | −0.141205 | + | 0.244575i | ||||
\(46\) | −1.35596 | + | 0.493529i | −0.199926 | + | 0.0727670i | ||||
\(47\) | 5.71910 | + | 9.90577i | 0.834216 | + | 1.44491i | 0.894667 | + | 0.446734i | \(0.147413\pi\) |
−0.0604506 | + | 0.998171i | \(0.519254\pi\) | |||||||
\(48\) | −1.45387 | + | 2.51817i | −0.209847 | + | 0.363466i | ||||
\(49\) | −1.03845 | + | 5.88936i | −0.148350 | + | 0.841337i | ||||
\(50\) | 4.58512 | + | 1.66885i | 0.648434 | + | 0.236011i | ||||
\(51\) | −0.759273 | − | 1.31510i | −0.106320 | − | 0.184151i | ||||
\(52\) | 4.87406 | + | 4.08982i | 0.675911 | + | 0.567156i | ||||
\(53\) | 0.0706817 | + | 0.0593090i | 0.00970887 | + | 0.00814671i | 0.647629 | − | 0.761956i | \(-0.275761\pi\) |
−0.637920 | + | 0.770102i | \(0.720205\pi\) | |||||||
\(54\) | −6.70771 | + | 2.44141i | −0.912804 | + | 0.332234i | ||||
\(55\) | −0.329565 | − | 1.86905i | −0.0444385 | − | 0.252023i | ||||
\(56\) | 0.175358 | + | 0.994503i | 0.0234332 | + | 0.132896i | ||||
\(57\) | −13.6888 | + | 4.98230i | −1.81312 | + | 0.659922i | ||||
\(58\) | −4.85235 | − | 4.07160i | −0.637144 | − | 0.534628i | ||||
\(59\) | 2.29059 | + | 1.92203i | 0.298210 | + | 0.250228i | 0.779599 | − | 0.626279i | \(-0.215423\pi\) |
−0.481389 | + | 0.876507i | \(0.659868\pi\) | |||||||
\(60\) | −0.504922 | − | 0.874551i | −0.0651852 | − | 0.112904i | ||||
\(61\) | −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 | ||||
\(63\) | −2.75430 | + | 4.77059i | −0.347009 | + | 0.601038i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −2.07646 | + | 0.755769i | −0.257553 | + | 0.0937416i | ||||
\(66\) | 7.94501 | − | 13.7612i | 0.977963 | − | 1.69388i | ||||
\(67\) | −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 | ||||||||
\(69\) | 3.21418 | − | 2.69701i | 0.386941 | − | 0.324682i | ||||
\(70\) | −0.329565 | − | 0.119952i | −0.0393905 | − | 0.0143370i | ||||
\(71\) | 0.0543332 | + | 0.308139i | 0.00644816 | + | 0.0365693i | 0.987862 | − | 0.155334i | \(-0.0496452\pi\) |
−0.981414 | + | 0.191903i | \(0.938534\pi\) | |||||||
\(72\) | 0.947234 | − | 5.37203i | 0.111633 | − | 0.633100i | ||||
\(73\) | 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 | ||||
\(75\) | −14.1879 | −1.63828 | ||||||||
\(76\) | 0.869950 | − | 4.93373i | 0.0997902 | − | 0.565938i | ||||
\(77\) | −0.958285 | − | 5.43471i | −0.109207 | − | 0.619342i | ||||
\(78\) | −17.3851 | − | 6.32766i | −1.96847 | − | 0.716466i | ||||
\(79\) | 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 | ||||||||
\(81\) | 3.36390 | − | 2.82265i | 0.373767 | − | 0.313628i | ||||
\(82\) | 0.550245 | − | 0.953052i | 0.0607644 | − | 0.105247i | ||||
\(83\) | −8.89395 | + | 3.23713i | −0.976238 | + | 0.355322i | −0.780377 | − | 0.625310i | \(-0.784973\pi\) |
−0.195862 | + | 0.980632i | \(0.562750\pi\) | |||||||
\(84\) | −1.46818 | − | 2.54296i | −0.160191 | − | 0.277460i | ||||
\(85\) | −0.0906868 | + | 0.157074i | −0.00983636 | + | 0.0170371i | ||||
\(86\) | −1.08884 | + | 6.17511i | −0.117412 | + | 0.665879i | ||||
\(87\) | 17.3076 | + | 6.29947i | 1.85557 | + | 0.675374i | ||||
\(88\) | 2.73237 | + | 4.73261i | 0.291272 | + | 0.504498i | ||||
\(89\) | −12.0788 | − | 10.1354i | −1.28035 | − | 1.07435i | −0.993195 | − | 0.116463i | \(-0.962844\pi\) |
−0.287160 | − | 0.957883i | \(-0.592711\pi\) | |||||||
\(90\) | 1.45125 | + | 1.21774i | 0.152975 | + | 0.128361i | ||||
\(91\) | −6.03778 | + | 2.19757i | −0.632931 | + | 0.230368i | ||||
\(92\) | 0.250571 | + | 1.42106i | 0.0261239 | + | 0.148156i | ||||
\(93\) | 1.67017 | + | 9.47198i | 0.173188 | + | 0.982198i | ||||
\(94\) | 10.7484 | − | 3.91209i | 1.10861 | − | 0.403502i | ||||
\(95\) | 1.33284 | + | 1.11839i | 0.136747 | + | 0.114744i | ||||
\(96\) | 2.22745 | + | 1.86905i | 0.227338 | + | 0.190760i | ||||
\(97\) | 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 | ||||
\(99\) | −5.17640 | + | 29.3568i | −0.520247 | + | 2.95047i | ||||
\(100\) | 2.43969 | − | 4.22567i | 0.243969 | − | 0.422567i | ||||
\(101\) | −4.28093 | − | 7.41479i | −0.425969 | − | 0.737799i | 0.570542 | − | 0.821269i | \(-0.306733\pi\) |
−0.996510 | + | 0.0834694i | \(0.973400\pi\) | |||||||
\(102\) | −1.42697 | + | 0.519373i | −0.141291 | + | 0.0514256i | ||||
\(103\) | −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 | ||||
\(105\) | 1.01979 | 0.0995209 | ||||||||
\(106\) | 0.0706817 | − | 0.0593090i | 0.00686521 | − | 0.00576059i | ||||
\(107\) | 3.35307 | + | 1.22042i | 0.324153 | + | 0.117982i | 0.498971 | − | 0.866619i | \(-0.333711\pi\) |
−0.174818 | + | 0.984601i | \(0.555934\pi\) | |||||||
\(108\) | 1.23954 | + | 7.02975i | 0.119274 | + | 0.676438i | ||||
\(109\) | −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 | ||||||||
\(111\) | 1.43157 | − | 17.6290i | 0.135878 | − | 1.67327i | ||||
\(112\) | 1.00984 | 0.0954213 | ||||||||
\(113\) | 1.60399 | − | 9.09669i | 0.150891 | − | 0.855745i | −0.811556 | − | 0.584275i | \(-0.801379\pi\) |
0.962447 | − | 0.271470i | \(-0.0875098\pi\) | |||||||
\(114\) | 2.52958 | + | 14.3460i | 0.236917 | + | 1.34362i | ||||
\(115\) | −0.470920 | − | 0.171401i | −0.0439136 | − | 0.0159832i | ||||
\(116\) | −4.85235 | + | 4.07160i | −0.450529 | + | 0.378039i | ||||
\(117\) | 34.7076 | 3.20871 | ||||||||
\(118\) | 2.29059 | − | 1.92203i | 0.210866 | − | 0.176938i | ||||
\(119\) | −0.263693 | + | 0.456729i | −0.0241727 | + | 0.0418683i | ||||
\(120\) | −0.948944 | + | 0.345387i | −0.0866263 | + | 0.0315294i | ||||
\(121\) | −9.43174 | − | 16.3362i | −0.857430 | − | 1.48511i | ||||
\(122\) | −1.90792 | + | 3.30461i | −0.172735 | + | 0.299185i | ||||
\(123\) | −0.555662 | + | 3.15132i | −0.0501023 | + | 0.284145i | ||||
\(124\) | −3.10828 | − | 1.13132i | −0.279132 | − | 0.101596i | ||||
\(125\) | 1.71554 | + | 2.97140i | 0.153442 | + | 0.265770i | ||||
\(126\) | 4.21984 | + | 3.54086i | 0.375933 | + | 0.315445i | ||||
\(127\) | 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 | ||||
\(129\) | −3.16605 | − | 17.9556i | −0.278755 | − | 1.58090i | ||||
\(130\) | 0.383714 | + | 2.17615i | 0.0336539 | + | 0.190861i | ||||
\(131\) | 14.2349 | − | 5.18108i | 1.24371 | − | 0.452673i | 0.365438 | − | 0.930836i | \(-0.380919\pi\) |
0.878271 | + | 0.478163i | \(0.158697\pi\) | |||||||
\(132\) | −12.1725 | − | 10.2139i | −1.05948 | − | 0.889007i | ||||
\(133\) | 3.87554 | + | 3.25197i | 0.336052 | + | 0.281981i | ||||
\(134\) | 0.582375 | + | 1.00870i | 0.0503096 | + | 0.0871387i | ||||
\(135\) | −2.32956 | − | 0.847892i | −0.200497 | − | 0.0729749i | ||||
\(136\) | 0.0906868 | − | 0.514310i | 0.00777633 | − | 0.0441017i | ||||
\(137\) | 4.24086 | − | 7.34539i | 0.362321 | − | 0.627559i | −0.626021 | − | 0.779806i | \(-0.715318\pi\) |
0.988342 | + | 0.152247i | \(0.0486510\pi\) | |||||||
\(138\) | −2.09790 | − | 3.63368i | −0.178586 | − | 0.309319i | ||||
\(139\) | 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 | ||||
\(141\) | −25.4780 | + | 21.3786i | −2.14564 | + | 1.80040i | ||||
\(142\) | 0.312892 | 0.0262573 | ||||||||
\(143\) | −26.6355 | + | 22.3499i | −2.22737 | + | 1.86899i | ||||
\(144\) | −5.12593 | − | 1.86569i | −0.427161 | − | 0.155474i | ||||
\(145\) | −0.382004 | − | 2.16645i | −0.0317237 | − | 0.179914i | ||||
\(146\) | 2.29781 | − | 13.0315i | 0.190168 | − | 1.07850i | ||||
\(147\) | −17.3889 | −1.43421 | ||||||||
\(148\) | 5.00438 | + | 3.45777i | 0.411357 | + | 0.284227i | ||||
\(149\) | 5.45291 | 0.446720 | 0.223360 | − | 0.974736i | \(-0.428297\pi\) | ||||
0.223360 | + | 0.974736i | \(0.428297\pi\) | |||||||
\(150\) | −2.46371 | + | 13.9724i | −0.201161 | + | 1.14084i | ||||
\(151\) | −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 | ||||
\(153\) | 2.18230 | − | 1.83117i | 0.176429 | − | 0.148041i | ||||
\(154\) | −5.51855 | −0.444697 | ||||||||
\(155\) | 0.880013 | − | 0.738419i | 0.0706843 | − | 0.0593112i | ||||
\(156\) | −9.25042 | + | 16.0222i | −0.740626 | + | 1.28280i | ||||
\(157\) | 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 | ||||
\(159\) | −0.134146 | + | 0.232347i | −0.0106385 | + | 0.0184263i | ||||
\(160\) | 0.0603074 | − | 0.342020i | 0.00476772 | − | 0.0270391i | ||||
\(161\) | −1.36931 | − | 0.498388i | −0.107917 | − | 0.0392785i | ||||
\(162\) | −2.19563 | − | 3.80294i | −0.172505 | − | 0.298787i | ||||
\(163\) | 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 | ||||
\(165\) | 5.18574 | − | 1.88745i | 0.403709 | − | 0.146938i | ||||
\(166\) | 1.64354 | + | 9.32096i | 0.127563 | + | 0.723447i | ||||
\(167\) | −0.134923 | − | 0.765189i | −0.0104407 | − | 0.0592121i | 0.979142 | − | 0.203176i | \(-0.0651263\pi\) |
−0.989583 | + | 0.143964i | \(0.954015\pi\) | |||||||
\(168\) | −2.75927 | + | 1.00429i | −0.212883 | + | 0.0774829i | ||||
\(169\) | 21.0533 | + | 17.6658i | 1.61948 | + | 1.35891i | ||||
\(170\) | 0.138940 | + | 0.116585i | 0.0106562 | + | 0.00894164i | ||||
\(171\) | −13.6641 | − | 23.6669i | −1.04492 | − | 1.80986i | ||||
\(172\) | 5.89222 | + | 2.14459i | 0.449277 | + | 0.163524i | ||||
\(173\) | 1.86383 | − | 10.5703i | 0.141704 | − | 0.803644i | −0.828251 | − | 0.560358i | \(-0.810664\pi\) |
0.969955 | − | 0.243286i | \(-0.0782253\pi\) | |||||||
\(174\) | 9.20921 | − | 15.9508i | 0.698148 | − | 1.20923i | ||||
\(175\) | 2.46371 | + | 4.26727i | 0.186239 | + | 0.322575i | ||||
\(176\) | 5.13518 | − | 1.86905i | 0.387079 | − | 0.140885i | ||||
\(177\) | −4.34728 | + | 7.52972i | −0.326762 | + | 0.565968i | ||||
\(178\) | −12.0788 | + | 10.1354i | −0.905348 | + | 0.759677i | ||||
\(179\) | −11.8976 | −0.889267 | −0.444633 | − | 0.895713i | \(-0.646666\pi\) | ||||
−0.444633 | + | 0.895713i | \(0.646666\pi\) | |||||||
\(180\) | 1.45125 | − | 1.21774i | 0.108170 | − | 0.0907650i | ||||
\(181\) | −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 | ||||
\(183\) | 1.92670 | − | 10.9268i | 0.142426 | − | 0.807736i | ||||
\(184\) | 1.44298 | 0.106378 | ||||||||
\(185\) | −1.90899 | + | 0.904718i | −0.140352 | + | 0.0665162i | ||||
\(186\) | 9.61810 | 0.705233 | ||||||||
\(187\) | −0.495580 | + | 2.81058i | −0.0362404 | + | 0.205530i | ||||
\(188\) | −1.98622 | − | 11.2644i | −0.144860 | − | 0.821543i | ||||
\(189\) | −6.77375 | − | 2.46544i | −0.492718 | − | 0.179335i | ||||
\(190\) | 1.33284 | − | 1.11839i | 0.0966945 | − | 0.0811363i | ||||
\(191\) | −10.4903 | −0.759053 | −0.379527 | − | 0.925181i | \(-0.623913\pi\) | ||||
−0.379527 | + | 0.925181i | \(0.623913\pi\) | |||||||
\(192\) | 2.22745 | − | 1.86905i | 0.160752 | − | 0.134887i | ||||
\(193\) | −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 | ||||
\(195\) | −3.21264 | − | 5.56445i | −0.230062 | − | 0.398478i | ||||
\(196\) | 2.99011 | − | 5.17902i | 0.213579 | − | 0.369930i | ||||
\(197\) | −2.09473 | + | 11.8798i | −0.149244 | + | 0.846402i | 0.814618 | + | 0.579998i | \(0.196947\pi\) |
−0.963861 | + | 0.266404i | \(0.914164\pi\) | |||||||
\(198\) | 28.0119 | + | 10.1955i | 1.99072 | + | 0.724563i | ||||
\(199\) | 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 | ||||
\(201\) | −2.59443 | − | 2.17698i | −0.182997 | − | 0.153552i | ||||
\(202\) | −8.04552 | + | 2.92833i | −0.566081 | + | 0.206037i | ||||
\(203\) | −1.11077 | − | 6.29947i | −0.0779605 | − | 0.442136i | ||||
\(204\) | 0.263693 | + | 1.49548i | 0.0184622 | + | 0.104704i | ||||
\(205\) | 0.359147 | − | 0.130719i | 0.0250839 | − | 0.00912980i | ||||
\(206\) | 3.79891 | + | 3.18767i | 0.264683 | + | 0.222095i | ||||
\(207\) | 6.02979 | + | 5.05960i | 0.419100 | + | 0.351666i | ||||
\(208\) | −3.18132 | − | 5.51020i | −0.220585 | − | 0.382064i | ||||
\(209\) | 25.7265 | + | 9.36367i | 1.77954 | + | 0.647699i | ||||
\(210\) | 0.177084 | − | 1.00429i | 0.0122200 | − | 0.0693028i | ||||
\(211\) | 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 | ||||
\(213\) | −0.854939 | + | 0.311172i | −0.0585794 | + | 0.0213212i | ||||
\(214\) | 1.78413 | − | 3.09020i | 0.121961 | − | 0.211242i | ||||
\(215\) | −1.66820 | + | 1.39978i | −0.113770 | + | 0.0954644i | ||||
\(216\) | 7.13820 | 0.485693 | ||||||||
\(217\) | 2.55884 | − | 2.14712i | 0.173705 | − | 0.145756i | ||||
\(218\) | 0.919666 | + | 0.334731i | 0.0622876 | + | 0.0226708i | ||||
\(219\) | 6.68141 | + | 37.8921i | 0.451488 | + | 2.56051i | ||||
\(220\) | −0.329565 | + | 1.86905i | −0.0222192 | + | 0.126012i | ||||
\(221\) | 3.32285 | 0.223519 | ||||||||
\(222\) | −17.1126 | − | 4.47106i | −1.14852 | − | 0.300078i | ||||
\(223\) | 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 | ||||
\(225\) | −4.62192 | − | 26.2122i | −0.308128 | − | 1.74748i | ||||
\(226\) | −8.67996 | − | 3.15925i | −0.577382 | − | 0.210150i | ||||
\(227\) | −11.6086 | + | 9.74076i | −0.770489 | + | 0.646517i | −0.940834 | − | 0.338868i | \(-0.889956\pi\) |
0.170345 | + | 0.985384i | \(0.445512\pi\) | |||||||
\(228\) | 14.5673 | 0.964742 | ||||||||
\(229\) | −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 | ||||
\(231\) | 15.0787 | − | 5.48821i | 0.992108 | − | 0.361098i | ||||
\(232\) | 3.16714 | + | 5.48565i | 0.207933 | + | 0.360151i | ||||
\(233\) | −6.79356 | + | 11.7668i | −0.445061 | + | 0.770868i | −0.998056 | − | 0.0623159i | \(-0.980151\pi\) |
0.552995 | + | 0.833184i | \(0.313485\pi\) | |||||||
\(234\) | 6.02690 | − | 34.1803i | 0.393991 | − | 2.23443i | ||||
\(235\) | 3.73288 | + | 1.35866i | 0.243506 | + | 0.0886289i | ||||
\(236\) | −1.49508 | − | 2.58955i | −0.0973213 | − | 0.168565i | ||||
\(237\) | 20.7304 | + | 17.3948i | 1.34658 | + | 1.12992i | ||||
\(238\) | 0.404001 | + | 0.338997i | 0.0261875 | + | 0.0219739i | ||||
\(239\) | 18.3188 | − | 6.66750i | 1.18494 | − | 0.431285i | 0.326999 | − | 0.945025i | \(-0.393963\pi\) |
0.857946 | + | 0.513740i | \(0.171740\pi\) | |||||||
\(240\) | 0.175358 | + | 0.994503i | 0.0113193 | + | 0.0641949i | ||||
\(241\) | 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 | ||||
\(243\) | −6.62322 | − | 5.55754i | −0.424879 | − | 0.356516i | ||||
\(244\) | 2.92310 | + | 2.45277i | 0.187132 | + | 0.157022i | ||||
\(245\) | 1.03845 | + | 1.79865i | 0.0663443 | + | 0.114912i | ||||
\(246\) | 3.00695 | + | 1.09444i | 0.191716 | + | 0.0697790i | ||||
\(247\) | 5.53518 | − | 31.3915i | 0.352195 | − | 1.99740i | ||||
\(248\) | −1.65388 | + | 2.86461i | −0.105022 | + | 0.181903i | ||||
\(249\) | −13.7605 | − | 23.8338i | −0.872035 | − | 1.51041i | ||||
\(250\) | 3.22416 | − | 1.17350i | 0.203913 | − | 0.0742184i | ||||
\(251\) | −5.03646 | + | 8.72340i | −0.317898 | + | 0.550616i | −0.980049 | − | 0.198754i | \(-0.936310\pi\) |
0.662151 | + | 0.749371i | \(0.269644\pi\) | |||||||
\(252\) | 4.21984 | − | 3.54086i | 0.265825 | − | 0.223053i | ||||
\(253\) | −7.88554 | −0.495760 | ||||||||
\(254\) | 5.18728 | − | 4.35264i | 0.325479 | − | 0.273109i | ||||
\(255\) | −0.495580 | − | 0.180376i | −0.0310344 | − | 0.0112956i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | −1.21293 | + | 6.87888i | −0.0756607 | + | 0.429093i | 0.923323 | + | 0.384024i | \(0.125462\pi\) |
−0.998984 | + | 0.0450692i | \(0.985649\pi\) | |||||||
\(258\) | −18.2325 | −1.13511 | ||||||||
\(259\) | −5.55082 | + | 2.63068i | −0.344911 | + | 0.163462i | ||||
\(260\) | 2.20972 | 0.137041 | ||||||||
\(261\) | −6.00005 | + | 34.0280i | −0.371394 | + | 2.10628i | ||||
\(262\) | −2.63050 | − | 14.9183i | −0.162513 | − | 0.921657i | ||||
\(263\) | −2.50225 | − | 0.910746i | −0.154296 | − | 0.0561590i | 0.263718 | − | 0.964600i | \(-0.415051\pi\) |
−0.418013 | + | 0.908441i | \(0.637273\pi\) | |||||||
\(264\) | −12.1725 | + | 10.2139i | −0.749163 | + | 0.628623i | ||||
\(265\) | 0.0320445 | 0.00196848 | ||||||||
\(266\) | 3.87554 | − | 3.25197i | 0.237625 | − | 0.199391i | ||||
\(267\) | 22.9243 | − | 39.7060i | 1.40294 | − | 2.42997i | ||||
\(268\) | 1.09451 | − | 0.398368i | 0.0668577 | − | 0.0243342i | ||||
\(269\) | −1.20752 | − | 2.09148i | −0.0736236 | − | 0.127520i | 0.826863 | − | 0.562403i | \(-0.190123\pi\) |
−0.900487 | + | 0.434883i | \(0.856790\pi\) | |||||||
\(270\) | −1.23954 | + | 2.14694i | −0.0754357 | + | 0.130659i | ||||
\(271\) | −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 | ||||
\(273\) | −9.34148 | − | 16.1799i | −0.565372 | − | 0.979254i | ||||
\(274\) | −6.49738 | − | 5.45195i | −0.392521 | − | 0.329364i | ||||
\(275\) | 20.4263 | + | 17.1397i | 1.23175 | + | 1.03356i | ||||
\(276\) | −3.94277 | + | 1.43505i | −0.237327 | + | 0.0863799i | ||||
\(277\) | −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 | ||||
\(279\) | −16.9554 | + | 6.17126i | −1.01509 | + | 0.369464i | ||||
\(280\) | 0.268664 | + | 0.225435i | 0.0160557 | + | 0.0134723i | ||||
\(281\) | 15.1288 | + | 12.6946i | 0.902511 | + | 0.757297i | 0.970680 | − | 0.240377i | \(-0.0772710\pi\) |
−0.0681682 | + | 0.997674i | \(0.521715\pi\) | |||||||
\(282\) | 16.6296 | + | 28.8033i | 0.990279 | + | 1.71521i | ||||
\(283\) | −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 | ||||
\(285\) | −2.52958 | + | 4.38137i | −0.149840 | + | 0.259530i | ||||
\(286\) | 17.3851 | + | 30.1119i | 1.02800 | + | 1.78055i | ||||
\(287\) | 1.04430 | − | 0.380095i | 0.0616432 | − | 0.0224363i | ||||
\(288\) | −2.72745 | + | 4.72408i | −0.160717 | + | 0.278369i | ||||
\(289\) | −12.8138 | + | 10.7521i | −0.753754 | + | 0.632475i | ||||
\(290\) | −2.19988 | −0.129181 | ||||||||
\(291\) | −2.06959 | + | 1.73659i | −0.121321 | + | 0.101801i | ||||
\(292\) | −12.4345 | − | 4.52580i | −0.727675 | − | 0.264852i | ||||
\(293\) | −4.03707 | − | 22.8954i | −0.235848 | − | 1.33756i | −0.840820 | − | 0.541315i | \(-0.817927\pi\) |
0.604972 | − | 0.796247i | \(-0.293184\pi\) | |||||||
\(294\) | −3.01954 | + | 17.1247i | −0.176103 | + | 0.998732i | ||||
\(295\) | 1.03847 | 0.0604621 | ||||||||
\(296\) | 4.27424 | − | 4.32791i | 0.248435 | − | 0.251555i | ||||
\(297\) | −39.0085 | −2.26350 | ||||||||
\(298\) | 0.946888 | − | 5.37007i | 0.0548518 | − | 0.311080i | ||||
\(299\) | 1.59429 | + | 9.04170i | 0.0922005 | + | 0.522895i | ||||
\(300\) | 13.3323 | + | 4.85256i | 0.769741 | + | 0.280163i | ||||
\(301\) | −4.85067 | + | 4.07019i | −0.279588 | + | 0.234602i | ||||
\(302\) | −15.5554 | −0.895111 | ||||||||
\(303\) | 19.0711 | − | 16.0026i | 1.09561 | − | 0.919324i | ||||
\(304\) | −2.50492 | + | 4.33865i | −0.143667 | + | 0.248839i | ||||
\(305\) | −1.24530 | + | 0.453253i | −0.0713059 | + | 0.0259532i | ||||
\(306\) | −1.42440 | − | 2.46713i | −0.0814273 | − | 0.141036i | ||||
\(307\) | 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 | ||||
\(309\) | −13.5502 | − | 4.93187i | −0.770843 | − | 0.280564i | ||||
\(310\) | −0.574388 | − | 0.994869i | −0.0326230 | − | 0.0565047i | ||||
\(311\) | 13.0382 | + | 10.9403i | 0.739326 | + | 0.620368i | 0.932657 | − | 0.360765i | \(-0.117484\pi\) |
−0.193330 | + | 0.981134i | \(0.561929\pi\) | |||||||
\(312\) | 14.1725 | + | 11.8921i | 0.802358 | + | 0.673258i | ||||
\(313\) | −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 | ||||
\(315\) | 0.332210 | + | 1.88405i | 0.0187179 | + | 0.106154i | ||||
\(316\) | −8.74550 | + | 3.18310i | −0.491973 | + | 0.179063i | ||||
\(317\) | −22.0930 | − | 18.5382i | −1.24086 | − | 1.04121i | −0.997456 | − | 0.0712854i | \(-0.977290\pi\) |
−0.243409 | − | 0.969924i | \(-0.578266\pi\) | |||||||
\(318\) | 0.205523 | + | 0.172455i | 0.0115252 | + | 0.00967077i | ||||
\(319\) | −17.3076 | − | 29.9777i | −0.969042 | − | 1.67843i | ||||
\(320\) | −0.326352 | − | 0.118782i | −0.0182436 | − | 0.00664014i | ||||
\(321\) | −1.80169 | + | 10.2179i | −0.100561 | + | 0.570308i | ||||
\(322\) | −0.728595 | + | 1.26196i | −0.0406030 | + | 0.0703264i | ||||
\(323\) | −1.30818 | − | 2.26584i | −0.0727892 | − | 0.126075i | ||||
\(324\) | −4.12644 | + | 1.50190i | −0.229246 | + | 0.0834389i | ||||
\(325\) | 15.5229 | − | 26.8864i | 0.861054 | − | 1.49139i | ||||
\(326\) | 3.59446 | − | 3.01611i | 0.199079 | − | 0.167047i | ||||
\(327\) | −2.84576 | −0.157371 | ||||||||
\(328\) | −0.843024 | + | 0.707381i | −0.0465482 | + | 0.0390586i | ||||
\(329\) | 10.8542 | + | 3.95061i | 0.598412 | + | 0.217804i | ||||
\(330\) | −0.958285 | − | 5.43471i | −0.0527519 | − | 0.299171i | ||||
\(331\) | 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 | ||||||||
\(333\) | 33.0359 | − | 3.09808i | 1.81036 | − | 0.169774i | ||||
\(334\) | −0.776993 | −0.0425152 | ||||||||
\(335\) | −0.0702431 | + | 0.398368i | −0.00383779 | + | 0.0217652i | ||||
\(336\) | 0.509893 | + | 2.89175i | 0.0278169 | + | 0.157758i | ||||
\(337\) | 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 | ||||
\(339\) | 26.8588 | 1.45877 | ||||||||
\(340\) | 0.138940 | − | 0.116585i | 0.00753509 | − | 0.00632269i | ||||
\(341\) | 9.03806 | − | 15.6544i | 0.489438 | − | 0.847732i | ||||
\(342\) | −25.6801 | + | 9.34680i | −1.38862 | + | 0.505417i | ||||
\(343\) | 6.55400 | + | 11.3519i | 0.353883 | + | 0.612943i | ||||
\(344\) | 3.13518 | − | 5.43030i | 0.169038 | − | 0.292782i | ||||
\(345\) | 0.253038 | − | 1.43505i | 0.0136231 | − | 0.0772606i | ||||
\(346\) | −10.0860 | − | 3.67102i | −0.542229 | − | 0.197355i | ||||
\(347\) | 5.06401 | + | 8.77113i | 0.271850 | + | 0.470859i | 0.969336 | − | 0.245740i | \(-0.0790310\pi\) |
−0.697485 | + | 0.716599i | \(0.745698\pi\) | |||||||
\(348\) | −14.1093 | − | 11.8391i | −0.756339 | − | 0.634644i | ||||
\(349\) | −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 | ||||
\(351\) | 7.88671 | + | 44.7278i | 0.420962 | + | 2.38739i | ||||
\(352\) | −0.948944 | − | 5.38173i | −0.0505789 | − | 0.286847i | ||||
\(353\) | 32.0012 | − | 11.6475i | 1.70325 | − | 0.619933i | 0.707064 | − | 0.707150i | \(-0.250019\pi\) |
0.996189 | + | 0.0872167i | \(0.0277972\pi\) | |||||||
\(354\) | 6.66043 | + | 5.58876i | 0.353998 | + | 0.297039i | ||||
\(355\) | 0.0832432 | + | 0.0698494i | 0.00441809 | + | 0.00370722i | ||||
\(356\) | 7.88391 | + | 13.6553i | 0.417846 | + | 0.723731i | ||||
\(357\) | −1.44101 | − | 0.524486i | −0.0762666 | − | 0.0277588i | ||||
\(358\) | −2.06599 | + | 11.7168i | −0.109191 | + | 0.619254i | ||||
\(359\) | −4.93976 | + | 8.55592i | −0.260711 | + | 0.451564i | −0.966431 | − | 0.256926i | \(-0.917290\pi\) |
0.705720 | + | 0.708491i | \(0.250624\pi\) | |||||||
\(360\) | −0.947234 | − | 1.64066i | −0.0499236 | − | 0.0864702i | ||||
\(361\) | −5.73076 | + | 2.08582i | −0.301619 | + | 0.109780i | ||||
\(362\) | −2.19334 | + | 3.79897i | −0.115279 | + | 0.199670i | ||||
\(363\) | 42.0175 | − | 35.2568i | 2.20535 | − | 1.85050i | ||||
\(364\) | 6.42527 | 0.336776 | ||||||||
\(365\) | 3.52044 | − | 2.95400i | 0.184268 | − | 0.154620i | ||||
\(366\) | −10.4263 | − | 3.79485i | −0.544990 | − | 0.198360i | ||||
\(367\) | −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 | ||||
\(369\) | −6.00307 | −0.312507 | ||||||||
\(370\) | 0.559481 | + | 2.03709i | 0.0290860 | + | 0.105903i | ||||
\(371\) | 0.0931767 | 0.00483749 | ||||||||
\(372\) | 1.67017 | − | 9.47198i | 0.0865940 | − | 0.491099i | ||||
\(373\) | 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 | ||||
\(375\) | −7.64255 | + | 6.41286i | −0.394660 | + | 0.331159i | ||||
\(376\) | −11.4382 | −0.589880 | ||||||||
\(377\) | −30.8737 | + | 25.9061i | −1.59008 | + | 1.33423i | ||||
\(378\) | −3.60424 | + | 6.24272i | −0.185382 | + | 0.321091i | ||||
\(379\) | −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 | ||||
\(381\) | −9.84487 | + | 17.0518i | −0.504368 | + | 0.873591i | ||||
\(382\) | −1.82163 | + | 10.3310i | −0.0932025 | + | 0.528577i | ||||
\(383\) | −18.2315 | − | 6.63571i | −0.931585 | − | 0.339069i | −0.168747 | − | 0.985659i | \(-0.553972\pi\) |
−0.762838 | + | 0.646590i | \(0.776194\pi\) | |||||||
\(384\) | −1.45387 | − | 2.51817i | −0.0741923 | − | 0.128505i | ||||
\(385\) | −1.46818 | − | 1.23195i | −0.0748253 | − | 0.0627859i | ||||
\(386\) | 7.52982 | + | 6.31827i | 0.383258 | + | 0.321592i | ||||
\(387\) | 32.1415 | − | 11.6985i | 1.63384 | − | 0.594670i | ||||
\(388\) | −0.161341 | − | 0.915012i | −0.00819087 | − | 0.0464527i | ||||
\(389\) | 3.24705 | + | 18.4149i | 0.164632 | + | 0.933674i | 0.949443 | + | 0.313939i | \(0.101649\pi\) |
−0.784811 | + | 0.619735i | \(0.787240\pi\) | |||||||
\(390\) | −6.03778 | + | 2.19757i | −0.305735 | + | 0.111278i | ||||
\(391\) | 0.577283 | + | 0.484398i | 0.0291945 | + | 0.0244971i | ||||
\(392\) | −4.58111 | − | 3.84401i | −0.231381 | − | 0.194152i | ||||
\(393\) | 22.0238 | + | 38.1464i | 1.11096 | + | 1.92423i | ||||
\(394\) | 11.3356 | + | 4.12582i | 0.571079 | + | 0.207856i | ||||
\(395\) | 0.561266 | − | 3.18310i | 0.0282404 | − | 0.160159i | ||||
\(396\) | 14.9048 | − | 25.8159i | 0.748996 | − | 1.29730i | ||||
\(397\) | 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 | ||||
\(399\) | −7.35535 | + | 12.7398i | −0.368228 | + | 0.637789i | ||||
\(400\) | −3.73783 | + | 3.13641i | −0.186891 | + | 0.156820i | ||||
\(401\) | 17.8350 | 0.890638 | 0.445319 | − | 0.895372i | \(-0.353090\pi\) | ||||
0.445319 | + | 0.895372i | \(0.353090\pi\) | |||||||
\(402\) | −2.59443 | + | 2.17698i | −0.129398 | + | 0.108578i | ||||
\(403\) | −19.7769 | − | 7.19819i | −0.985156 | − | 0.358568i | ||||
\(404\) | 1.48675 | + | 8.43179i | 0.0739687 | + | 0.419497i | ||||
\(405\) | 0.264825 | − | 1.50190i | 0.0131593 | − | 0.0746300i | ||||
\(406\) | −6.39665 | −0.317460 | ||||||||
\(407\) | −23.3577 | + | 23.6510i | −1.15780 | + | 1.17233i | ||||
\(408\) | 1.51855 | 0.0751792 | ||||||||
\(409\) | −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 | ||||
\(411\) | 23.1752 | + | 8.43510i | 1.14315 | + | 0.416073i | ||||
\(412\) | 3.79891 | − | 3.18767i | 0.187159 | − | 0.157045i | ||||
\(413\) | 3.01959 | 0.148584 | ||||||||
\(414\) | 6.02979 | − | 5.05960i | 0.296348 | − | 0.248666i | ||||
\(415\) | −1.64354 | + | 2.84669i | −0.0806780 | + | 0.139738i | ||||
\(416\) | −5.97892 | + | 2.17615i | −0.293141 | + | 0.106694i | ||||
\(417\) | 26.6615 | + | 46.1791i | 1.30562 | + | 2.26140i | ||||
\(418\) | 13.6888 | − | 23.7096i | 0.669540 | − | 1.15968i | ||||
\(419\) | 6.25638 | − | 35.4817i | 0.305644 | − | 1.73340i | −0.314812 | − | 0.949154i | \(-0.601941\pi\) |
0.620456 | − | 0.784241i | \(-0.286948\pi\) | |||||||
\(420\) | −0.958285 | − | 0.348787i | −0.0467595 | − | 0.0170191i | ||||
\(421\) | −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 | ||||
\(423\) | −47.7968 | − | 40.1063i | −2.32396 | − | 1.95003i | ||||
\(424\) | −0.0867039 | + | 0.0315576i | −0.00421071 | + | 0.00153257i | ||||
\(425\) | −0.442496 | − | 2.50952i | −0.0214642 | − | 0.121729i | ||||
\(426\) | 0.157986 | + | 0.895985i | 0.00765446 | + | 0.0434106i | ||||
\(427\) | −3.62101 | + | 1.31794i | −0.175233 | + | 0.0637796i | ||||
\(428\) | −2.73344 | − | 2.29363i | −0.132126 | − | 0.110867i | ||||
\(429\) | −77.4489 | − | 64.9874i | −3.73927 | − | 3.13762i | ||||
\(430\) | 1.08884 | + | 1.88592i | 0.0525084 | + | 0.0909472i | ||||
\(431\) | −29.3710 | − | 10.6902i | −1.41475 | − | 0.514928i | −0.482231 | − | 0.876044i | \(-0.660173\pi\) |
−0.932521 | + | 0.361116i | \(0.882396\pi\) | |||||||
\(432\) | 1.23954 | − | 7.02975i | 0.0596372 | − | 0.338219i | ||||
\(433\) | −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 | ||||
\(435\) | 6.01088 | − | 2.18778i | 0.288200 | − | 0.104896i | ||||
\(436\) | 0.489344 | − | 0.847568i | 0.0234353 | − | 0.0405912i | ||||
\(437\) | 5.53783 | − | 4.64679i | 0.264910 | − | 0.222286i | ||||
\(438\) | 38.4767 | 1.83849 | ||||||||
\(439\) | −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 | ||||
\(441\) | −5.66466 | − | 32.1259i | −0.269746 | − | 1.52980i | ||||
\(442\) | 0.577007 | − | 3.27237i | 0.0274454 | − | 0.155651i | ||||
\(443\) | −8.45523 | −0.401720 | −0.200860 | − | 0.979620i | \(-0.564374\pi\) | ||||
−0.200860 | + | 0.979620i | \(0.564374\pi\) | |||||||
\(444\) | −7.37471 | + | 16.0762i | −0.349988 | + | 0.762944i | ||||
\(445\) | −5.47610 | −0.259592 | ||||||||
\(446\) | 1.95027 | − | 11.0605i | 0.0923478 | − | 0.523730i | ||||
\(447\) | 2.75330 | + | 15.6147i | 0.130226 | + | 0.738551i | ||||
\(448\) | −0.948944 | − | 0.345387i | −0.0448334 | − | 0.0163180i | ||||
\(449\) | 27.8798 | − | 23.3939i | 1.31573 | − | 1.10403i | 0.328538 | − | 0.944491i | \(-0.393444\pi\) |
0.987192 | − | 0.159538i | \(-0.0510004\pi\) | |||||||
\(450\) | −26.6166 | −1.25472 | ||||||||
\(451\) | 4.60691 | − | 3.86566i | 0.216931 | − | 0.182027i | ||||
\(452\) | −4.61851 | + | 7.99950i | −0.217236 | + | 0.376265i | ||||
\(453\) | 42.5031 | − | 15.4699i | 1.99697 | − | 0.726837i | ||||
\(454\) | 7.57697 | + | 13.1237i | 0.355605 | + | 0.615925i | ||||
\(455\) | −1.11574 | + | 1.93251i | −0.0523066 | + | 0.0905976i | ||||
\(456\) | 2.52958 | − | 14.3460i | 0.118459 | − | 0.671812i | ||||
\(457\) | −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 | ||||
\(459\) | 2.85572 | + | 2.39624i | 0.133294 | + | 0.111847i | ||||
\(460\) | 0.383898 | + | 0.322128i | 0.0178993 | + | 0.0150193i | ||||
\(461\) | −16.5840 | + | 6.03608i | −0.772393 | + | 0.281128i | −0.697997 | − | 0.716101i | \(-0.745925\pi\) |
−0.0743962 | + | 0.997229i | \(0.523703\pi\) | |||||||
\(462\) | −2.78644 | − | 15.8027i | −0.129637 | − | 0.735207i | ||||
\(463\) | 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 | ||||
\(465\) | 2.55884 | + | 2.14712i | 0.118663 | + | 0.0995705i | ||||
\(466\) | 10.4083 | + | 8.73363i | 0.482157 | + | 0.404578i | ||||
\(467\) | 9.54875 | + | 16.5389i | 0.441864 | + | 0.765330i | 0.997828 | − | 0.0658760i | \(-0.0209842\pi\) |
−0.555964 | + | 0.831206i | \(0.687651\pi\) | |||||||
\(468\) | −32.6144 | − | 11.8707i | −1.50760 | − | 0.548723i | ||||
\(469\) | −0.204248 | + | 1.15835i | −0.00943129 | + | 0.0534875i | ||||
\(470\) | 1.98622 | − | 3.44024i | 0.0916176 | − | 0.158686i | ||||
\(471\) | 5.82742 | + | 10.0934i | 0.268513 | + | 0.465078i | ||||
\(472\) | −2.80983 | + | 1.02269i | −0.129333 | + | 0.0470733i | ||||
\(473\) | −17.1330 | + | 29.6752i | −0.787776 | + | 1.36447i | ||||
\(474\) | 20.7304 | − | 17.3948i | 0.952177 | − | 0.798971i | ||||
\(475\) | −24.4450 | −1.12161 | ||||||||
\(476\) | 0.404001 | − | 0.338997i | 0.0185173 | − | 0.0155379i | ||||
\(477\) | −0.472961 | − | 0.172144i | −0.0216554 | − | 0.00788193i | ||||
\(478\) | −3.38518 | − | 19.1983i | −0.154834 | − | 0.878110i | ||||
\(479\) | 3.33101 | − | 18.8911i | 0.152198 | − | 0.863156i | −0.809106 | − | 0.587663i | \(-0.800048\pi\) |
0.961303 | − | 0.275492i | \(-0.0888409\pi\) | |||||||
\(480\) | 1.00984 | 0.0460929 | ||||||||
\(481\) | 31.8410 | + | 22.0006i | 1.45183 | + | 1.00314i | ||||
\(482\) | 1.44363 | 0.0657556 | ||||||||
\(483\) | 0.735767 | − | 4.17274i | 0.0334786 | − | 0.189866i | ||||
\(484\) | 3.27561 | + | 18.5769i | 0.148891 | + | 0.844404i | ||||
\(485\) | 0.303223 | + | 0.110364i | 0.0137686 | + | 0.00501137i | ||||
\(486\) | −6.62322 | + | 5.55754i | −0.300435 | + | 0.252095i | ||||
\(487\) | −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 | ||||
\(489\) | −6.82188 | + | 11.8158i | −0.308496 | + | 0.534331i | ||||
\(490\) | 1.95165 | − | 0.710344i | 0.0881667 | − | 0.0320901i | ||||
\(491\) | −14.8866 | − | 25.7843i | −0.671822 | − | 1.16363i | −0.977387 | − | 0.211459i | \(-0.932179\pi\) |
0.305565 | − | 0.952171i | \(-0.401155\pi\) | |||||||
\(492\) | 1.59996 | − | 2.77122i | 0.0721320 | − | 0.124936i | ||||
\(493\) | −0.574436 | + | 3.25779i | −0.0258713 | + | 0.146723i | ||||
\(494\) | −29.9535 | − | 10.9022i | −1.34767 | − | 0.490512i | ||||
\(495\) | 5.17640 | + | 8.96578i | 0.232662 | + | 0.402982i | ||||
\(496\) | 2.53390 | + | 2.12619i | 0.113775 | + | 0.0954688i | ||||
\(497\) | 0.242049 | + | 0.203103i | 0.0108574 | + | 0.00911043i | ||||
\(498\) | −25.8612 | + | 9.41272i | −1.15887 | + | 0.421794i | ||||
\(499\) | 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 | ||||
\(501\) | 2.12304 | − | 0.772722i | 0.0948503 | − | 0.0345227i | ||||
\(502\) | 7.71630 | + | 6.47475i | 0.344395 | + | 0.288982i | ||||
\(503\) | 10.4375 | + | 8.75811i | 0.465386 | + | 0.390505i | 0.845108 | − | 0.534596i | \(-0.179536\pi\) |
−0.379722 | + | 0.925100i | \(0.623981\pi\) | |||||||
\(504\) | −2.75430 | − | 4.77059i | −0.122686 | − | 0.212499i | ||||
\(505\) | −2.79418 | − | 1.01700i | −0.124339 | − | 0.0452558i | ||||
\(506\) | −1.36931 | + | 7.76574i | −0.0608733 | + | 0.345229i | ||||
\(507\) | −39.9568 | + | 69.2072i | −1.77454 | + | 3.07360i | ||||
\(508\) | −3.38575 | − | 5.86430i | −0.150219 | − | 0.260186i | ||||
\(509\) | −19.8285 | + | 7.21697i | −0.878881 | + | 0.319886i | −0.741758 | − | 0.670668i | \(-0.766008\pi\) |
−0.137123 | + | 0.990554i | \(0.543785\pi\) | |||||||
\(510\) | −0.263693 | + | 0.456729i | −0.0116765 | + | 0.0202243i | ||||
\(511\) | 10.2365 | − | 8.58945i | 0.452836 | − | 0.379975i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 27.3947 | − | 22.9869i | 1.20951 | − | 1.01490i | ||||
\(514\) | 6.56375 | + | 2.38901i | 0.289515 | + | 0.105375i | ||||
\(515\) | 0.299072 | + | 1.69612i | 0.0131787 | + | 0.0747400i | ||||
\(516\) | −3.16605 | + | 17.9556i | −0.139377 | + | 0.790449i | ||||
\(517\) | 62.5069 | 2.74905 | ||||||||
\(518\) | 1.62682 | + | 5.92330i | 0.0714784 | + | 0.260255i | ||||
\(519\) | 31.2097 | 1.36995 | ||||||||
\(520\) | 0.383714 | − | 2.17615i | 0.0168270 | − | 0.0954305i | ||||
\(521\) | 0.510798 | + | 2.89688i | 0.0223784 | + | 0.126914i | 0.993950 | − | 0.109830i | \(-0.0350307\pi\) |
−0.971572 | + | 0.236745i | \(0.923920\pi\) | |||||||
\(522\) | 32.4691 | + | 11.8178i | 1.42114 | + | 0.517251i | ||||
\(523\) | 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 | ||||||||
\(525\) | −10.9756 | + | 9.20962i | −0.479014 | + | 0.401941i | ||||
\(526\) | −1.33142 | + | 2.30609i | −0.0580527 | + | 0.100550i | ||||
\(527\) | −1.62328 | + | 0.590827i | −0.0707113 | + | 0.0257368i | ||||
\(528\) | 7.94501 | + | 13.7612i | 0.345762 | + | 0.598878i | ||||
\(529\) | 10.4589 | − | 18.1153i | 0.454735 | − | 0.787624i | ||||
\(530\) | 0.00556446 | − | 0.0315576i | 0.000241705 | − | 0.00137078i | ||||
\(531\) | −15.3273 | − | 5.57869i | −0.665150 | − | 0.242095i | ||||
\(532\) | −2.52958 | − | 4.38137i | −0.109671 | − | 0.189956i | ||||
\(533\) | −5.36386 | − | 4.50081i | −0.232334 | − | 0.194952i | ||||
\(534\) | −35.1220 | − | 29.4709i | −1.51988 | − | 1.27533i | ||||
\(535\) | 1.16451 | − | 0.423846i | 0.0503461 | − | 0.0183245i | ||||
\(536\) | −0.202257 | − | 1.14706i | −0.00873616 | − | 0.0495452i | ||||
\(537\) | −6.00735 | − | 34.0694i | −0.259236 | − | 1.47020i | ||||
\(538\) | −2.26939 | + | 0.825991i | −0.0978404 | + | 0.0356110i | ||||
\(539\) | 25.0346 | + | 21.0065i | 1.07832 | + | 0.904815i | ||||
\(540\) | 1.89908 | + | 1.59352i | 0.0817233 | + | 0.0685740i | ||||
\(541\) | −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 | ||||
\(543\) | 2.21493 | − | 12.5615i | 0.0950517 | − | 0.539065i | ||||
\(544\) | −0.261122 | + | 0.452277i | −0.0111955 | + | 0.0193912i | ||||
\(545\) | 0.169947 | + | 0.294357i | 0.00727974 | + | 0.0126089i | ||||
\(546\) | −17.5562 | + | 6.38995i | −0.751338 | + | 0.273465i | ||||
\(547\) | 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 | ||||
\(549\) | 20.8150 | 0.888362 | ||||||||
\(550\) | 20.4263 | − | 17.1397i | 0.870979 | − | 0.730838i | ||||
\(551\) | 29.8200 | + | 10.8536i | 1.27038 | + | 0.462379i | ||||
\(552\) | 0.728595 | + | 4.13207i | 0.0310110 | + | 0.175872i | ||||
\(553\) | 1.63201 | − | 9.25560i | 0.0694002 | − | 0.393588i | ||||
\(554\) | −17.7320 | −0.753360 | ||||||||
\(555\) | −3.55460 | − | 5.00968i | −0.150884 | − | 0.212649i | ||||
\(556\) | −18.3384 | −0.777720 | ||||||||
\(557\) | 6.37699 | − | 36.1657i | 0.270202 | − | 1.53239i | −0.483601 | − | 0.875288i | \(-0.660671\pi\) |
0.753803 | − | 0.657101i | \(-0.228217\pi\) | |||||||
\(558\) | 3.13323 | + | 17.7694i | 0.132640 | + | 0.752240i | ||||
\(559\) | 37.4900 | + | 13.6453i | 1.58566 | + | 0.577133i | ||||
\(560\) | 0.268664 | − | 0.225435i | 0.0113531 | − | 0.00952639i | ||||
\(561\) | −8.29847 | −0.350362 | ||||||||
\(562\) | 15.1288 | − | 12.6946i | 0.638172 | − | 0.535490i | ||||
\(563\) | −0.238456 | + | 0.413018i | −0.0100497 | + | 0.0174066i | −0.871007 | − | 0.491271i | \(-0.836532\pi\) |
0.860957 | + | 0.508678i | \(0.169866\pi\) | |||||||
\(564\) | 31.2534 | − | 11.3753i | 1.31601 | − | 0.478987i | ||||
\(565\) | −1.60399 | − | 2.77820i | −0.0674805 | − | 0.116880i | ||||
\(566\) | −12.1747 | + | 21.0872i | −0.511741 | + | 0.886361i | ||||
\(567\) | 0.770041 | − | 4.36712i | 0.0323387 | − | 0.183402i | ||||
\(568\) | −0.294023 | − | 0.107015i | −0.0123369 | − | 0.00449027i | ||||
\(569\) | −4.54906 | − | 7.87920i | −0.190706 | − | 0.330313i | 0.754778 | − | 0.655980i | \(-0.227745\pi\) |
−0.945485 | + | 0.325667i | \(0.894411\pi\) | |||||||
\(570\) | 3.87554 | + | 3.25197i | 0.162329 | + | 0.136210i | ||||
\(571\) | 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 | ||||
\(573\) | −5.29680 | − | 30.0396i | −0.221277 | − | 1.25492i | ||||
\(574\) | −0.192979 | − | 1.09444i | −0.00805480 | − | 0.0456811i | ||||
\(575\) | 6.61626 | − | 2.40812i | 0.275917 | − | 0.100426i | ||||
\(576\) | 4.17870 | + | 3.50634i | 0.174112 | + | 0.146098i | ||||
\(577\) | 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 | ||||
\(579\) | −26.8578 | − | 9.77545i | −1.11617 | − | 0.406254i | ||||
\(580\) | −0.382004 | + | 2.16645i | −0.0158619 | + | 0.0899571i | ||||
\(581\) | −4.77896 | + | 8.27741i | −0.198265 | + | 0.343405i | ||||
\(582\) | 1.35083 | + | 2.33970i | 0.0559936 | + | 0.0969838i | ||||
\(583\) | 0.473815 | − | 0.172455i | 0.0196234 | − | 0.00714234i | ||||
\(584\) | −6.61627 | + | 11.4597i | −0.273783 | + | 0.474207i | ||||
\(585\) | 9.23375 | − | 7.74804i | 0.381769 | − | 0.320342i | ||||
\(586\) | −23.2486 | −0.960390 | ||||||||
\(587\) | 12.4394 | − | 10.4379i | 0.513430 | − | 0.430819i | −0.348904 | − | 0.937158i | \(-0.613446\pi\) |
0.862334 | + | 0.506340i | \(0.169002\pi\) | |||||||
\(588\) | 16.3402 | + | 5.94734i | 0.673858 | + | 0.245264i | ||||
\(589\) | 2.87759 | + | 16.3196i | 0.118569 | + | 0.672439i | ||||
\(590\) | 0.180328 | − | 1.02269i | 0.00742400 | − | 0.0421036i | ||||
\(591\) | −35.0762 | −1.44284 | ||||||||
\(592\) | −3.51995 | − | 4.96084i | −0.144669 | − | 0.203889i | ||||
\(593\) | −27.0626 | −1.11133 | −0.555663 | − | 0.831407i | \(-0.687536\pi\) | ||||
−0.555663 | + | 0.831407i | \(0.687536\pi\) | |||||||
\(594\) | −6.77375 | + | 38.4158i | −0.277930 | + | 1.57622i | ||||
\(595\) | 0.0318052 | + | 0.180376i | 0.00130389 | + | 0.00739472i | ||||
\(596\) | −5.12406 | − | 1.86501i | −0.209890 | − | 0.0763936i | ||||
\(597\) | −20.7151 | + | 17.3820i | −0.847812 | + | 0.711399i | ||||
\(598\) | 9.18118 | 0.375446 | ||||||||
\(599\) | −30.5258 | + | 25.6142i | −1.24725 | + | 1.04657i | −0.250328 | + | 0.968161i | \(0.580539\pi\) |
−0.996922 | + | 0.0784059i | \(0.975017\pi\) | |||||||
\(600\) | 7.09397 | − | 12.2871i | 0.289610 | − | 0.501620i | ||||
\(601\) | −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 | ||||
\(603\) | 3.17680 | − | 5.50238i | 0.129369 | − | 0.224074i | ||||
\(604\) | −2.70116 | + | 15.3190i | −0.109909 | + | 0.623323i | ||||
\(605\) | −6.15613 | − | 2.24065i | −0.250282 | − | 0.0910953i | ||||
\(606\) | −12.4478 | − | 21.5602i | −0.505657 | − | 0.875824i | ||||
\(607\) | −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 | ||||
\(609\) | 17.4780 | − | 6.36148i | 0.708246 | − | 0.257780i | ||||
\(610\) | 0.230123 | + | 1.30509i | 0.00931740 | + | 0.0528416i | ||||
\(611\) | −12.6376 | − | 71.6714i | −0.511263 | − | 2.89952i | ||||
\(612\) | −2.67699 | + | 0.974344i | −0.108211 | + | 0.0393855i | ||||
\(613\) | −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 | ||||
\(615\) | 0.555662 | + | 0.962435i | 0.0224065 | + | 0.0388091i | ||||
\(616\) | 5.18574 | + | 1.88745i | 0.208939 | + | 0.0760477i | ||||
\(617\) | 8.20856 | − | 46.5531i | 0.330464 | − | 1.87416i | −0.137640 | − | 0.990482i | \(-0.543952\pi\) |
0.468104 | − | 0.883673i | \(-0.344937\pi\) | |||||||
\(618\) | −7.20990 | + | 12.4879i | −0.290025 | + | 0.502338i | ||||
\(619\) | 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 | ||||
\(621\) | −5.15015 | + | 8.92033i | −0.206669 | + | 0.357960i | ||||
\(622\) | 13.0382 | − | 10.9403i | 0.522783 | − | 0.438667i | ||||
\(623\) | −15.9230 | −0.637943 | ||||||||
\(624\) | 14.1725 | − | 11.8921i | 0.567353 | − | 0.476065i | ||||
\(625\) | −21.8059 | − | 7.93669i | −0.872235 | − | 0.317468i | ||||
\(626\) | 1.89458 | + | 10.7447i | 0.0757225 | + | 0.429444i | ||||
\(627\) | −13.8235 | + | 78.3971i | −0.552059 | + | 3.13088i | ||||
\(628\) | −4.00822 | −0.159945 | ||||||||
\(629\) | 3.16281 | − | 0.296606i | 0.126110 | − | 0.0118264i | ||||
\(630\) | 1.91312 | 0.0762205 | ||||||||
\(631\) | −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 | ||||
\(633\) | 12.0225 | + | 4.37585i | 0.477853 | + | 0.173924i | ||||
\(634\) | −22.0930 | + | 18.5382i | −0.877424 | + | 0.736246i | ||||
\(635\) | 2.35172 | 0.0933252 | ||||||||
\(636\) | 0.205523 | − | 0.172455i | 0.00814953 | − | 0.00683827i | ||||
\(637\) | 19.0250 | − | 32.9522i | 0.753796 | − | 1.30561i | ||||
\(638\) | −32.5277 | + | 11.8391i | −1.28779 | + | 0.468716i | ||||
\(639\) | −0.853398 | − | 1.47813i | −0.0337599 | − | 0.0584739i | ||||
\(640\) | −0.173648 | + | 0.300767i | −0.00686405 | + | 0.0118889i | ||||
\(641\) | 3.47857 | − | 19.7280i | 0.137395 | − | 0.779208i | −0.835766 | − | 0.549085i | \(-0.814976\pi\) |
0.973162 | − | 0.230123i | \(-0.0739127\pi\) | |||||||
\(642\) | 9.74982 | + | 3.54864i | 0.384795 | + | 0.140054i | ||||
\(643\) | 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 | ||||
\(645\) | −4.85067 | − | 4.07019i | −0.190995 | − | 0.160264i | ||||
\(646\) | −2.45858 | + | 0.894849i | −0.0967314 | + | 0.0352074i | ||||
\(647\) | 2.56647 | + | 14.5551i | 0.100898 | + | 0.572222i | 0.992780 | + | 0.119953i | \(0.0382743\pi\) |
−0.891881 | + | 0.452269i | \(0.850615\pi\) | |||||||
\(648\) | 0.762534 | + | 4.32455i | 0.0299552 | + | 0.169884i | ||||
\(649\) | 15.3550 | − | 5.58876i | 0.602736 | − | 0.219378i | ||||
\(650\) | −23.7824 | − | 19.9558i | −0.932823 | − | 0.782732i | ||||
\(651\) | 7.44042 | + | 6.24326i | 0.291613 | + | 0.244693i | ||||
\(652\) | −2.34612 | − | 4.06359i | −0.0918810 | − | 0.159143i | ||||
\(653\) | 25.4991 | + | 9.28092i | 0.997857 | + | 0.363190i | 0.788758 | − | 0.614704i | \(-0.210725\pi\) |
0.209099 | + | 0.977894i | \(0.432947\pi\) | |||||||
\(654\) | −0.494161 | + | 2.80253i | −0.0193232 | + | 0.109588i | ||||
\(655\) | 2.63050 | − | 4.55617i | 0.102782 | − | 0.178024i | ||||
\(656\) | 0.550245 | + | 0.953052i | 0.0214835 | + | 0.0372104i | ||||
\(657\) | −67.8291 | + | 24.6878i | −2.64627 | + | 0.963162i | ||||
\(658\) | 5.77540 | − | 10.0033i | 0.225149 | − | 0.389969i | ||||
\(659\) | 24.2414 | − | 20.3409i | 0.944311 | − | 0.792371i | −0.0340197 | − | 0.999421i | \(-0.510831\pi\) |
0.978330 | + | 0.207050i | \(0.0663864\pi\) | |||||||
\(660\) | −5.51855 | −0.214809 | ||||||||
\(661\) | 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 | ||||
\(663\) | 1.67778 | + | 9.51517i | 0.0651596 | + | 0.369539i | ||||
\(664\) | 1.64354 | − | 9.32096i | 0.0637816 | − | 0.361723i | ||||
\(665\) | 1.75703 | 0.0681347 | ||||||||
\(666\) | 2.68562 | − | 33.0720i | 0.104066 | − | 1.28151i | ||||
\(667\) | −9.14028 | −0.353913 | ||||||||
\(668\) | −0.134923 | + | 0.765189i | −0.00522035 | + | 0.0296060i | ||||
\(669\) | 5.67085 | + | 32.1610i | 0.219248 | + | 1.24342i | ||||
\(670\) | 0.380118 | + | 0.138352i | 0.0146853 | + | 0.00534500i | ||||
\(671\) | −15.9740 | + | 13.4038i | −0.616669 | + | 0.517447i | ||||
\(672\) | 2.93636 | 0.113272 | ||||||||
\(673\) | 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 | ||||
\(675\) | 32.7295 | − | 11.9126i | 1.25976 | − | 0.458515i | ||||
\(676\) | −13.7416 | − | 23.8011i | −0.528522 | − | 0.915426i | ||||
\(677\) | −9.65303 | + | 16.7195i | −0.370996 | + | 0.642584i | −0.989719 | − | 0.143025i | \(-0.954317\pi\) |
0.618723 | + | 0.785609i | \(0.287650\pi\) | |||||||
\(678\) | 4.66398 | − | 26.4507i | 0.179119 | − | 1.01583i | ||||
\(679\) | 0.881690 | + | 0.320909i | 0.0338362 | + | 0.0123154i | ||||
\(680\) | −0.0906868 | − | 0.157074i | −0.00347768 | − | 0.00602352i | ||||
\(681\) | −33.7546 | − | 28.3235i | −1.29348 | − | 1.08536i | ||||
\(682\) | −13.8471 | − | 11.6191i | −0.530233 | − | 0.444918i | ||||
\(683\) | −1.90109 | + | 0.691940i | −0.0727432 | + | 0.0264764i | −0.378135 | − | 0.925750i | \(-0.623435\pi\) |
0.305392 | + | 0.952227i | \(0.401212\pi\) | |||||||
\(684\) | 4.74550 | + | 26.9130i | 0.181449 | + | 1.02905i | ||||
\(685\) | −0.511511 | − | 2.90092i | −0.0195438 | − | 0.110838i | ||||
\(686\) | 12.3175 | − | 4.48320i | 0.470284 | − | 0.171169i | ||||
\(687\) | −34.6629 | − | 29.0857i | −1.32247 | − | 1.10969i | ||||
\(688\) | −4.80338 | − | 4.03051i | −0.183127 | − | 0.153662i | ||||
\(689\) | −0.293535 | − | 0.508417i | −0.0111828 | − | 0.0193692i | ||||
\(690\) | −1.36931 | − | 0.498388i | −0.0521287 | − | 0.0189733i | ||||
\(691\) | −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 | ||||
\(693\) | 15.0516 | + | 26.0701i | 0.571762 | + | 0.990320i | ||||
\(694\) | 9.51723 | − | 3.46399i | 0.361269 | − | 0.131491i | ||||
\(695\) | 3.18442 | − | 5.51559i | 0.120792 | − | 0.209218i | ||||
\(696\) | −14.1093 | + | 11.8391i | −0.534812 | + | 0.448761i | ||||
\(697\) | −0.574725 | −0.0217692 | ||||||||
\(698\) | −5.50852 | + | 4.62220i | −0.208501 | + | 0.174953i | ||||
\(699\) | −37.1251 | − | 13.5124i | −1.40420 | − | 0.511087i | ||||
\(700\) | −0.855638 | − | 4.85256i | −0.0323401 | − | 0.183410i | ||||
\(701\) | −7.84895 | + | 44.5136i | −0.296451 | + | 1.68126i | 0.364797 | + | 0.931087i | \(0.381138\pi\) |
−0.661247 | + | 0.750168i | \(0.729973\pi\) | |||||||
\(702\) | 45.4178 | 1.71418 | ||||||||
\(703\) | 2.46650 | − | 30.3737i | 0.0930258 | − | 1.14557i | ||||
\(704\) | −5.46475 | −0.205960 | ||||||||
\(705\) | −2.00578 | + | 11.3753i | −0.0755419 | + | 0.428419i | ||||
\(706\) | −5.91359 | − | 33.5376i | −0.222561 | − | 1.26220i | ||||
\(707\) | −8.12472 | − | 2.95716i | −0.305562 | − | 0.111215i | ||||
\(708\) | 6.66043 | − | 5.58876i | 0.250314 | − | 0.210039i | ||||
\(709\) | −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 | ||||
\(711\) | −25.3837 | + | 43.9659i | −0.951965 | + | 1.64885i | ||||
\(712\) | 14.8169 | − | 5.39291i | 0.555287 | − | 0.202108i | ||||
\(713\) | −2.38653 | − | 4.13359i | −0.0893761 | − | 0.154804i | ||||
\(714\) | −0.766748 | + | 1.32805i | −0.0286948 | + | 0.0497009i | ||||
\(715\) | −2.09690 | + | 11.8921i | −0.0784196 | + | 0.444740i | ||||
\(716\) | 11.1801 | + | 4.06921i | 0.417819 | + | 0.152074i | ||||
\(717\) | 28.3423 | + | 49.0904i | 1.05846 | + | 1.83331i | ||||
\(718\) | 7.56816 | + | 6.35044i | 0.282441 | + | 0.236996i | ||||
\(719\) | −13.6923 | − | 11.4892i | −0.510637 | − | 0.428475i | 0.350717 | − | 0.936482i | \(-0.385938\pi\) |
−0.861353 | + | 0.508007i | \(0.830383\pi\) | |||||||
\(720\) | −1.78022 | + | 0.647946i | −0.0663448 | + | 0.0241475i | ||||
\(721\) | 0.869621 | + | 4.93187i | 0.0323864 | + | 0.183672i | ||||
\(722\) | 1.05900 | + | 6.00589i | 0.0394119 | + | 0.223516i | ||||
\(723\) | −3.94454 | + | 1.43569i | −0.146699 | + | 0.0533941i | ||||
\(724\) | 3.36039 | + | 2.81970i | 0.124888 | + | 0.104793i | ||||
\(725\) | 23.6765 | + | 19.8669i | 0.879322 | + | 0.737839i | ||||
\(726\) | −27.4250 | − | 47.5014i | −1.01784 | − | 1.76294i | ||||
\(727\) | 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 | ||||
\(729\) | 19.1570 | − | 33.1809i | 0.709519 | − | 1.22892i | ||||
\(730\) | −2.29781 | − | 3.97992i | −0.0850457 | − | 0.147303i | ||||
\(731\) | 3.07718 | − | 1.12000i | 0.113813 | − | 0.0414247i | ||||
\(732\) | −5.54771 | + | 9.60891i | −0.205049 | + | 0.355156i | ||||
\(733\) | −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 | ||||||||
\(735\) | −4.62621 | + | 3.88185i | −0.170640 | + | 0.143184i | ||||
\(736\) | −1.35596 | − | 0.493529i | −0.0499814 | − | 0.0181917i | ||||
\(737\) | 1.10528 | + | 6.26837i | 0.0407136 | + | 0.230898i | ||||
\(738\) | −1.04242 | + | 5.91187i | −0.0383721 | + | 0.217619i | ||||
\(739\) | 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 | ||||
\(741\) | 92.6863 | 3.40492 | ||||||||
\(742\) | 0.0161800 | − | 0.0917611i | 0.000593985 | − | 0.00336866i | ||||
\(743\) | 3.45404 | + | 19.5888i | 0.126716 | + | 0.718644i | 0.980274 | + | 0.197645i | \(0.0633293\pi\) |
−0.853557 | + | 0.520999i | \(0.825560\pi\) | |||||||
\(744\) | −9.03806 | − | 3.28958i | −0.331351 | − | 0.120602i | ||||
\(745\) | 1.45072 | − | 1.21730i | 0.0531502 | − | 0.0445983i | ||||
\(746\) | 31.3540 | 1.14795 | ||||||||
\(747\) | 39.5503 | − | 33.1867i | 1.44707 | − | 1.21424i | ||||
\(748\) | 1.42697 | − | 2.47158i | 0.0521751 | − | 0.0903699i | ||||
\(749\) | 3.38608 | − | 1.23243i | 0.123725 | − | 0.0450320i | ||||
\(750\) | 4.98832 | + | 8.64003i | 0.182148 | + | 0.315489i | ||||
\(751\) | 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 | ||||
\(753\) | −27.5230 | − | 10.0175i | −1.00299 | − | 0.365060i | ||||
\(754\) | 20.1514 | + | 34.9032i | 0.733870 | + | 1.27110i | ||||
\(755\) | −4.13842 | − | 3.47255i | −0.150612 | − | 0.126379i | ||||
\(756\) | 5.52201 | + | 4.63352i | 0.200834 | + | 0.168519i | ||||
\(757\) | −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 | ||||
\(759\) | −3.98159 | − | 22.5807i | −0.144522 | − | 0.819627i | ||||
\(760\) | −1.63497 | + | 0.595081i | −0.0593067 | + | 0.0215859i | ||||
\(761\) | 19.3702 | + | 16.2536i | 0.702171 | + | 0.589191i | 0.922390 | − | 0.386259i | \(-0.126233\pi\) |
−0.220220 | + | 0.975450i | \(0.570677\pi\) | |||||||
\(762\) | 15.0832 | + | 12.6563i | 0.546407 | + | 0.458490i | ||||
\(763\) | 0.494161 | + | 0.855912i | 0.0178898 | + | 0.0309861i | ||||
\(764\) | 9.85768 | + | 3.58790i | 0.356638 | + | 0.129806i | ||||
\(765\) | 0.171803 | − | 0.974344i | 0.00621156 | − | 0.0352275i | ||||
\(766\) | −9.70076 | + | 16.8022i | −0.350503 | + | 0.607089i | ||||
\(767\) | −9.51263 | − | 16.4764i | −0.343481 | − | 0.594927i | ||||
\(768\) | −2.73237 | + | 0.994503i | −0.0985961 | + | 0.0358860i | ||||
\(769\) | −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 | ||||
\(771\) | −20.3105 | −0.731465 | ||||||||
\(772\) | 7.52982 | − | 6.31827i | 0.271004 | − | 0.227400i | ||||
\(773\) | 0.927201 | + | 0.337474i | 0.0333491 | + | 0.0121381i | 0.358641 | − | 0.933476i | \(-0.383240\pi\) |
−0.325292 | + | 0.945614i | \(0.605463\pi\) | |||||||
\(774\) | −5.93950 | − | 33.6846i | −0.213491 | − | 1.21077i | ||||
\(775\) | −2.80266 | + | 15.8947i | −0.100674 | + | 0.570953i | ||||
\(776\) | −0.929128 | −0.0333538 | ||||||||
\(777\) | −10.3358 | − | 14.5668i | −0.370796 | − | 0.522581i | ||||
\(778\) | 18.6990 | 0.670392 | ||||||||
\(779\) | −0.957372 | + | 5.42952i | −0.0343014 | + | 0.194533i | ||||
\(780\) | 1.11574 | + | 6.32766i | 0.0399498 | + | 0.226567i | ||||
\(781\) | 1.60676 | + | 0.584812i | 0.0574944 | + | 0.0209262i | ||||
\(782\) | 0.577283 | − | 0.484398i | 0.0206436 | − | 0.0173220i | ||||
\(783\) | −45.2154 | −1.61587 | ||||||||
\(784\) | −4.58111 | + | 3.84401i | −0.163611 | + | 0.137286i | ||||
\(785\) | 0.696020 | − | 1.20554i | 0.0248420 | − | 0.0430277i | ||||
\(786\) | 41.3913 | − | 15.0652i | 1.47638 | − | 0.537358i | ||||
\(787\) | −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 | ||||
\(789\) | 1.34453 | − | 7.62520i | 0.0478665 | − | 0.271464i | ||||
\(790\) | −3.03728 | − | 1.10548i | −0.108062 | − | 0.0393312i | ||||
\(791\) | −4.66398 | − | 8.07825i | −0.165832 | − | 0.287229i | ||||
\(792\) | −22.8355 | − | 19.1613i | −0.811425 | − | 0.680867i | ||||
\(793\) | 18.5986 | + | 15.6061i | 0.660455 | + | 0.554188i | ||||
\(794\) | 22.4240 | − | 8.16169i | 0.795800 | − | 0.289647i | ||||
\(795\) | 0.0161800 | + | 0.0917611i | 0.000573844 | + | 0.00325443i | ||||
\(796\) | −1.61491 | − | 9.15861i | −0.0572390 | − | 0.324618i | ||||
\(797\) | −14.1958 | + | 5.16684i | −0.502841 | + | 0.183019i | −0.580971 | − | 0.813924i | \(-0.697327\pi\) |
0.0781306 | + | 0.996943i | \(0.475105\pi\) | |||||||
\(798\) | 11.2690 | + | 9.45585i | 0.398920 | + | 0.334734i | ||||
\(799\) | −4.57599 | − | 3.83971i | −0.161887 | − | 0.135839i | ||||
\(800\) | 2.43969 | + | 4.22567i | 0.0862562 | + | 0.149400i | ||||
\(801\) | 80.8247 | + | 29.4178i | 2.85580 | + | 1.03943i | ||||
\(802\) | 3.09702 | − | 17.5641i | 0.109359 | − | 0.620208i | ||||
\(803\) | 36.1563 | − | 62.6245i | 1.27593 | − | 2.20997i | ||||
\(804\) | 1.69339 | + | 2.93304i | 0.0597213 | + | 0.103440i | ||||
\(805\) | −0.475556 | + | 0.173088i | −0.0167612 | + | 0.00610056i | ||||
\(806\) | −10.5231 | + | 18.2265i | −0.370659 | + | 0.642000i | ||||
\(807\) | 5.37937 | − | 4.51383i | 0.189363 | − | 0.158894i | ||||
\(808\) | 8.56186 | 0.301205 | ||||||||
\(809\) | −32.7023 | + | 27.4405i | −1.14975 | + | 0.964757i | −0.999714 | − | 0.0239226i | \(-0.992384\pi\) |
−0.150039 | + | 0.988680i | \(0.547940\pi\) | |||||||
\(810\) | −1.43310 | − | 0.521604i | −0.0503539 | − | 0.0183273i | ||||
\(811\) | 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 | ||||
\(813\) | −73.4219 | −2.57502 | ||||||||
\(814\) | 19.2356 | + | 27.1098i | 0.674209 | + | 0.950196i | ||||
\(815\) | 1.62960 | 0.0570822 | ||||||||
\(816\) | 0.263693 | − | 1.49548i | 0.00923109 | − | 0.0523521i | ||||
\(817\) | −5.45491 | − | 30.9363i | −0.190843 | − | 1.08232i | ||||
\(818\) | 9.38441 | + | 3.41565i | 0.328118 | + | 0.119425i | ||||
\(819\) | 26.8493 | − | 22.5292i | 0.938190 | − | 0.787235i | ||||
\(820\) | −0.382196 | −0.0133469 | ||||||||
\(821\) | 10.3004 | − | 8.64304i | 0.359485 | − | 0.301644i | −0.445100 | − | 0.895481i | \(-0.646832\pi\) |
0.804586 | + | 0.593837i | \(0.202387\pi\) | |||||||
\(822\) | 12.3313 | − | 21.3584i | 0.430103 | − | 0.744961i | ||||
\(823\) | 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 | ||||
\(825\) | −38.7668 | + | 67.1460i | −1.34969 | + | 2.33772i | ||||
\(826\) | 0.524347 | − | 2.97372i | 0.0182444 | − | 0.103469i | ||||
\(827\) | 38.0037 | + | 13.8322i | 1.32152 | + | 0.480993i | 0.903945 | − | 0.427650i | \(-0.140658\pi\) |
0.417574 | + | 0.908643i | \(0.362880\pi\) | |||||||
\(828\) | −3.93567 | − | 6.81678i | −0.136774 | − | 0.236899i | ||||
\(829\) | 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 | ||||
\(831\) | 48.4504 | − | 17.6345i | 1.68073 | − | 0.611734i | ||||
\(832\) | 1.10486 | + | 6.26597i | 0.0383041 | + | 0.217234i | ||||
\(833\) | −0.542326 | − | 3.07569i | −0.0187905 | − | 0.106566i | ||||
\(834\) | 50.1073 | − | 18.2376i | 1.73507 | − | 0.631515i | ||||
\(835\) | −0.206715 | − | 0.173454i | −0.00715366 | − | 0.00600263i | ||||
\(836\) | −20.9724 | − | 17.5979i | −0.725346 | − | 0.608638i | ||||
\(837\) | −11.8058 | − | 20.4482i | −0.408066 | − | 0.706792i | ||||
\(838\) | −33.8563 | − | 12.3227i | −1.16955 | − | 0.425680i | ||||
\(839\) | −7.48912 | + | 42.4729i | −0.258553 | + | 1.46633i | 0.528231 | + | 0.849101i | \(0.322855\pi\) |
−0.786785 | + | 0.617228i | \(0.788256\pi\) | |||||||
\(840\) | −0.509893 | + | 0.883161i | −0.0175930 | + | 0.0304719i | ||||
\(841\) | −5.56161 | − | 9.63298i | −0.191780 | − | 0.332172i | ||||
\(842\) | −20.9867 | + | 7.63853i | −0.723249 | + | 0.263241i | ||||
\(843\) | −28.7128 | + | 49.7321i | −0.988923 | + | 1.71286i | ||||
\(844\) | −3.37062 | + | 2.82829i | −0.116022 | + | 0.0973537i | ||||
\(845\) | 9.54479 | 0.328351 | ||||||||
\(846\) | −47.7968 | + | 40.1063i | −1.64329 | + | 1.37888i | ||||
\(847\) | −17.9004 | − | 6.51520i | −0.615064 | − | 0.223865i | ||||
\(848\) | 0.0160222 | + | 0.0908666i | 0.000550206 | + | 0.00312037i | ||||
\(849\) | 12.2946 | − | 69.7259i | 0.421948 | − | 2.39299i | ||||
\(850\) | −2.54823 | −0.0874036 | ||||||||
\(851\) | 2.32459 | + | 8.46391i | 0.0796860 | + | 0.290139i | ||||
\(852\) | 0.909807 | 0.0311695 | ||||||||
\(853\) | −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 | ||||
\(855\) | −8.91861 | − | 3.24611i | −0.305010 | − | 0.111015i | ||||
\(856\) | −2.73344 | + | 2.29363i | −0.0934272 | + | 0.0783947i | ||||
\(857\) | −1.14287 | −0.0390395 | −0.0195198 | − | 0.999809i | \(-0.506214\pi\) | ||||
−0.0195198 | + | 0.999809i | \(0.506214\pi\) | |||||||
\(858\) | −77.4489 | + | 64.9874i | −2.64406 | + | 2.21863i | ||||
\(859\) | −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 | ||||
\(861\) | 1.61572 | + | 2.79850i | 0.0550634 | + | 0.0953727i | ||||
\(862\) | −15.6280 | + | 27.0685i | −0.532291 | + | 0.921956i | ||||
\(863\) | −1.91838 | + | 10.8797i | −0.0653023 | + | 0.370348i | 0.934591 | + | 0.355725i | \(0.115766\pi\) |
−0.999893 | + | 0.0146230i | \(0.995345\pi\) | |||||||
\(864\) | −6.70771 | − | 2.44141i | −0.228201 | − | 0.0830584i | ||||
\(865\) | −1.86383 | − | 3.22824i | −0.0633720 | − | 0.109764i | ||||
\(866\) | 4.15339 | + | 3.48511i | 0.141138 | + | 0.118429i | ||||
\(867\) | −37.2592 | − | 31.2642i | −1.26539 | − | 1.06179i | ||||
\(868\) | −3.13888 | + | 1.14246i | −0.106541 | + | 0.0387776i | ||||
\(869\) | −8.83159 | − | 50.0864i | −0.299591 | − | 1.69907i | ||||
\(870\) | −1.11077 | − | 6.29947i | −0.0376585 | − | 0.213572i | ||||
\(871\) | 6.96395 | − | 2.53467i | 0.235965 | − | 0.0858841i | ||||
\(872\) | −0.749718 | − | 0.629088i | −0.0253887 | − | 0.0213036i | ||||
\(873\) | −3.88255 | − | 3.25784i | −0.131404 | − | 0.110261i | ||||
\(874\) | −3.61456 | − | 6.26061i | −0.122264 | − | 0.211768i | ||||
\(875\) | 3.25590 | + | 1.18505i | 0.110069 | + | 0.0400620i | ||||
\(876\) | 6.68141 | − | 37.8921i | 0.225744 | − | 1.28026i | ||||
\(877\) | 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 | ||||
\(879\) | 63.5238 | − | 23.1208i | 2.14260 | − | 0.779844i | ||||
\(880\) | 0.948944 | − | 1.64362i | 0.0319889 | − | 0.0554064i | ||||
\(881\) | 13.7758 | − | 11.5593i | 0.464120 | − | 0.389443i | −0.380524 | − | 0.924771i | \(-0.624256\pi\) |
0.844644 | + | 0.535328i | \(0.179812\pi\) | |||||||
\(882\) | −32.6215 | −1.09842 | ||||||||
\(883\) | −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 | ||||
\(885\) | 0.524347 | + | 2.97372i | 0.0176257 | + | 0.0999604i | ||||
\(886\) | −1.46824 | + | 8.32678i | −0.0493263 | + | 0.279744i | ||||
\(887\) | −16.7444 | −0.562222 | −0.281111 | − | 0.959675i | \(-0.590703\pi\) | ||||
−0.281111 | + | 0.959675i | \(0.590703\pi\) | |||||||
\(888\) | 14.5514 | + | 10.0543i | 0.488313 | + | 0.337399i | ||||
\(889\) | 6.83817 | 0.229345 | ||||||||
\(890\) | −0.950915 | + | 5.39291i | −0.0318748 | + | 0.180771i | ||||
\(891\) | −4.16706 | − | 23.6326i | −0.139602 | − | 0.791721i | ||||
\(892\) | −10.5538 | − | 3.84127i | −0.353368 | − | 0.128615i | ||||
\(893\) | −43.8971 | + | 36.8340i | −1.46896 | + | 1.23260i | ||||
\(894\) | 15.8556 | 0.530291 | ||||||||
\(895\) | −3.16528 | + | 2.65599i | −0.105804 | + | 0.0887799i | ||||
\(896\) | −0.504922 | + | 0.874551i | −0.0168683 | + | 0.0292167i | ||||
\(897\) | −25.0864 | + | 9.13071i | −0.837611 | + | 0.304865i | ||||
\(898\) | −18.1973 | − | 31.5186i | −0.607250 | − | 1.05179i | ||||
\(899\) | 10.4762 | − | 18.1453i | 0.349400 | − | 0.605179i | ||||
\(900\) | −4.62192 | + | 26.2122i | −0.154064 | + | 0.873740i | ||||
\(901\) | −0.0452806 | − | 0.0164808i | −0.00150852 | − | 0.000549055i | ||||
\(902\) | −3.00695 | − | 5.20819i | −0.100120 | − | 0.173414i | ||||
\(903\) | −14.1044 | − | 11.8350i | −0.469366 | − | 0.393845i | ||||
\(904\) | 7.07597 | + | 5.93744i | 0.235343 | + | 0.197476i | ||||
\(905\) | −1.43160 | + | 0.521060i | −0.0475880 | + | 0.0173206i | ||||
\(906\) | −7.85425 | − | 44.5437i | −0.260940 | − | 1.47986i | ||||
\(907\) | 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 | ||||
\(909\) | 35.7774 | + | 30.0208i | 1.18666 | + | 0.995728i | ||||
\(910\) | 1.70941 | + | 1.43436i | 0.0566663 | + | 0.0475487i | ||||
\(911\) | −5.05307 | − | 8.75217i | −0.167416 | − | 0.289972i | 0.770095 | − | 0.637929i | \(-0.220209\pi\) |
−0.937510 | + | 0.347957i | \(0.886876\pi\) | |||||||
\(912\) | −13.6888 | − | 4.98230i | −0.453280 | − | 0.164981i | ||||
\(913\) | −8.98151 | + | 50.9367i | −0.297245 | + | 1.68576i | ||||
\(914\) | −6.52073 | + | 11.2942i | −0.215687 | + | 0.373580i | ||||
\(915\) | −1.92670 | − | 3.33714i | −0.0636947 | − | 0.110322i | ||||
\(916\) | 14.6232 | − | 5.32242i | 0.483165 | − | 0.175858i | ||||
\(917\) | 7.64880 | − | 13.2481i | 0.252586 | − | 0.437491i | ||||
\(918\) | 2.85572 | − | 2.39624i | 0.0942530 | − | 0.0790876i | ||||
\(919\) | 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 | ||||
\(921\) | 29.1549 | + | 10.6115i | 0.960686 | + | 0.349661i | ||||
\(922\) | 3.06460 | + | 17.3802i | 0.100927 | + | 0.572386i | ||||
\(923\) | 0.345702 | − | 1.96057i | 0.0113789 | − | 0.0645331i | ||||
\(924\) | −16.0465 | −0.527889 | ||||||||
\(925\) | 12.3753 | − | 26.9771i | 0.406897 | − | 0.887001i | ||||
\(926\) | 26.4940 | 0.870646 | ||||||||
\(927\) | 4.69745 | − | 26.6406i | 0.154285 | − | 0.874992i | ||||
\(928\) | −1.09994 | − | 6.23806i | −0.0361072 | − | 0.204774i | ||||
\(929\) | −31.4473 | − | 11.4459i | −1.03175 | − | 0.375528i | −0.230005 | − | 0.973189i | \(-0.573874\pi\) |
−0.801748 | + | 0.597662i | \(0.796097\pi\) | |||||||
\(930\) | 2.55884 | − | 2.14712i | 0.0839077 | − | 0.0704069i | ||||
\(931\) | −29.9599 | −0.981897 | ||||||||
\(932\) | 10.4083 | − | 8.73363i | 0.340937 | − | 0.286080i | ||||
\(933\) | −24.7450 | + | 42.8595i | −0.810114 | + | 1.40316i | ||||
\(934\) | 17.9458 | − | 6.53173i | 0.587204 | − | 0.213725i | ||||
\(935\) | 0.495580 | + | 0.858370i | 0.0162072 | + | 0.0280717i | ||||
\(936\) | −17.3538 | + | 30.0576i | −0.567226 | + | 0.982464i | ||||
\(937\) | 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 | ||||
\(939\) | −15.8623 | − | 27.4743i | −0.517647 | − | 0.896590i | ||||
\(940\) | −3.04307 | − | 2.55344i | −0.0992540 | − | 0.0832840i | ||||
\(941\) | −13.4316 | − | 11.2705i | −0.437858 | − | 0.367406i | 0.397049 | − | 0.917797i | \(-0.370034\pi\) |
−0.834907 | + | 0.550391i | \(0.814479\pi\) | |||||||
\(942\) | 10.9520 | − | 3.98619i | 0.356834 | − | 0.129877i | ||||
\(943\) | −0.275751 | − | 1.56386i | −0.00897970 | − | 0.0509264i | ||||
\(944\) | 0.519235 | + | 2.94473i | 0.0168997 | + | 0.0958427i | ||||
\(945\) | −2.35250 | + | 0.856239i | −0.0765268 | + | 0.0278535i | ||||
\(946\) | 26.2493 | + | 22.0257i | 0.853437 | + | 0.716119i | ||||
\(947\) | 20.0641 | + | 16.8357i | 0.651994 | + | 0.547088i | 0.907675 | − | 0.419673i | \(-0.137855\pi\) |
−0.255681 | + | 0.966761i | \(0.582300\pi\) | |||||||
\(948\) | −13.5308 | − | 23.4360i | −0.439459 | − | 0.761166i | ||||
\(949\) | −79.1163 | − | 28.7960i | −2.56822 | − | 0.934757i | ||||
\(950\) | −4.24482 | + | 24.0736i | −0.137720 | + | 0.781050i | ||||
\(951\) | 41.9300 | − | 72.6248i | 1.35967 | − | 2.35502i | ||||
\(952\) | −0.263693 | − | 0.456729i | −0.00854633 | − | 0.0148027i | ||||
\(953\) | 24.4034 | − | 8.88209i | 0.790502 | − | 0.287719i | 0.0849574 | − | 0.996385i | \(-0.472925\pi\) |
0.705545 | + | 0.708665i | \(0.250702\pi\) | |||||||
\(954\) | −0.251657 | + | 0.435884i | −0.00814771 | + | 0.0141123i | ||||
\(955\) | −2.79089 | + | 2.34184i | −0.0903112 | + | 0.0757801i | ||||
\(956\) | −19.4945 | −0.630496 | ||||||||
\(957\) | 77.1039 | − | 64.6978i | 2.49241 | − | 2.09138i | ||||
\(958\) | −18.0257 | − | 6.56080i | −0.582383 | − | 0.211970i | ||||
\(959\) | −1.48734 | − | 8.43510i | −0.0480286 | − | 0.272384i | ||||
\(960\) | 0.175358 | − | 0.994503i | 0.00565964 | − | 0.0320974i | ||||
\(961\) | −20.0587 | −0.647054 | ||||||||
\(962\) | 27.1955 | − | 27.5369i | 0.876817 | − | 0.887827i | ||||
\(963\) | −19.4645 | −0.627235 | ||||||||
\(964\) | 0.250684 | − | 1.42170i | 0.00807398 | − | 0.0457898i | ||||
\(965\) | 0.592791 | + | 3.36188i | 0.0190826 | + | 0.108223i | ||||
\(966\) | −3.98159 | − | 1.44918i | −0.128105 | − | 0.0466266i | ||||
\(967\) | 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 | ||||||||
\(969\) | 5.82782 | − | 4.89012i | 0.187217 | − | 0.157093i | ||||
\(970\) | 0.161341 | − | 0.279451i | 0.00518036 | − | 0.00897265i | ||||
\(971\) | 12.9625 | − | 4.71796i | 0.415986 | − | 0.151407i | −0.125544 | − | 0.992088i | \(-0.540068\pi\) |
0.541530 | + | 0.840682i | \(0.317845\pi\) | |||||||
\(972\) | 4.32300 | + | 7.48765i | 0.138660 | + | 0.240166i | ||||
\(973\) | 9.25945 | − | 16.0378i | 0.296844 | − | 0.514150i | ||||
\(974\) | −6.20926 | + | 35.2145i | −0.198958 | + | 1.12834i | ||||
\(975\) | 84.8286 | + | 30.8751i | 2.71669 | + | 0.988794i | ||||
\(976\) | −1.90792 | − | 3.30461i | −0.0610709 | − | 0.105778i | ||||
\(977\) | −29.8644 | − | 25.0592i | −0.955448 | − | 0.801716i | 0.0247589 | − | 0.999693i | \(-0.492118\pi\) |
−0.980207 | + | 0.197978i | \(0.936563\pi\) | |||||||
\(978\) | 10.4517 | + | 8.77004i | 0.334209 | + | 0.280435i | ||||
\(979\) | −80.9706 | + | 29.4709i | −2.58783 | + | 0.941894i | ||||
\(980\) | −0.360651 | − | 2.04535i | −0.0115206 | − | 0.0653364i | ||||
\(981\) | −0.927046 | − | 5.25754i | −0.0295983 | − | 0.167860i | ||||
\(982\) | −27.9776 | + | 10.1830i | −0.892802 | + | 0.324953i | ||||
\(983\) | 9.34290 | + | 7.83963i | 0.297992 | + | 0.250045i | 0.779508 | − | 0.626392i | \(-0.215469\pi\) |
−0.481516 | + | 0.876437i | \(0.659914\pi\) | |||||||
\(984\) | −2.45129 | − | 2.05687i | −0.0781442 | − | 0.0655708i | ||||
\(985\) | 2.09473 | + | 3.62818i | 0.0667438 | + | 0.115604i | ||||
\(986\) | 3.10855 | + | 1.13142i | 0.0989963 | + | 0.0360317i | ||||
\(987\) | −5.83226 | + | 33.0764i | −0.185643 | + | 1.05283i | ||||
\(988\) | −15.9379 | + | 27.6053i | −0.507052 | + | 0.878240i | ||||
\(989\) | 4.52402 | + | 7.83583i | 0.143855 | + | 0.249165i | ||||
\(990\) | 9.72844 | − | 3.54086i | 0.309190 | − | 0.112536i | ||||
\(991\) | −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 | ||||
\(993\) | 11.5133 | 0.365364 | ||||||||
\(994\) | 0.242049 | − | 0.203103i | 0.00767733 | − | 0.00644204i | ||||
\(995\) | 3.03504 | + | 1.10466i | 0.0962172 | + | 0.0350202i | ||||
\(996\) | 4.77896 | + | 27.1028i | 0.151427 | + | 0.858786i | ||||
\(997\) | −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 | ||||||||
\(999\) | 11.4994 | + | 41.8695i | 0.363824 | + | 1.32469i |
(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 | 74.2.f.b.33.2 | yes | 12 | |
3.2 | odd | 2 | 666.2.x.g.181.2 | 12 | |||
4.3 | odd | 2 | 592.2.bc.d.33.1 | 12 | |||
37.3 | even | 18 | 2738.2.a.q.1.6 | 6 | |||
37.9 | even | 9 | inner | 74.2.f.b.9.2 | ✓ | 12 | |
37.34 | even | 9 | 2738.2.a.t.1.6 | 6 | |||
111.83 | odd | 18 | 666.2.x.g.379.2 | 12 | |||
148.83 | odd | 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 | 37.9 | even | 9 | inner | |
74.2.f.b.33.2 | yes | 12 | 1.1 | even | 1 | trivial | |
592.2.bc.d.33.1 | 12 | 4.3 | odd | 2 | |||
592.2.bc.d.305.1 | 12 | 148.83 | odd | 18 | |||
666.2.x.g.181.2 | 12 | 3.2 | odd | 2 | |||
666.2.x.g.379.2 | 12 | 111.83 | odd | 18 | |||
2738.2.a.q.1.6 | 6 | 37.3 | even | 18 | |||
2738.2.a.t.1.6 | 6 | 37.34 | even | 9 |