Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,16,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 16, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 16);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 16 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(17.1232206120\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.11 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.16.b.a.11.12 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −80.5973 | − | 162.087i | −0.445241 | − | 0.895411i | ||||
\(3\) | −2767.36 | + | 2586.62i | −0.730562 | + | 0.682847i | ||||
\(4\) | −19776.2 | + | 26127.5i | −0.603521 | + | 0.797347i | ||||
\(5\) | − | 332581.i | − | 1.90380i | −0.306404 | − | 0.951902i | \(-0.599126\pi\) | ||
0.306404 | − | 0.951902i | \(-0.400874\pi\) | |||||||
\(6\) | 642299. | + | 240078.i | 0.936704 | + | 0.350121i | ||||
\(7\) | − | 2.13481e6i | − | 0.979769i | −0.871787 | − | 0.489884i | \(-0.837039\pi\) | ||
0.871787 | − | 0.489884i | \(-0.162961\pi\) | |||||||
\(8\) | 5.82882e6 | + | 1.09965e6i | 0.982666 | + | 0.185387i | ||||
\(9\) | 967701. | − | 1.43162e7i | 0.0674407 | − | 0.997723i | ||||
\(10\) | −5.39069e7 | + | 2.68051e7i | −1.70469 | + | 0.847652i | ||||
\(11\) | −7.24202e7 | −1.12051 | −0.560253 | − | 0.828321i | \(-0.689296\pi\) | ||||
−0.560253 | + | 0.828321i | \(0.689296\pi\) | |||||||
\(12\) | −1.28540e7 | − | 1.23458e8i | −0.103557 | − | 0.994624i | ||||
\(13\) | 5.97405e7 | 0.264055 | 0.132027 | − | 0.991246i | \(-0.457851\pi\) | ||||
0.132027 | + | 0.991246i | \(0.457851\pi\) | |||||||
\(14\) | −3.46024e8 | + | 1.72060e8i | −0.877296 | + | 0.436234i | ||||
\(15\) | 8.60260e8 | + | 9.20372e8i | 1.30001 | + | 1.39085i | ||||
\(16\) | −2.91549e8 | − | 1.03340e9i | −0.271526 | − | 0.962431i | ||||
\(17\) | 9.88823e8i | 0.584456i | 0.956349 | + | 0.292228i | \(0.0943966\pi\) | ||||
−0.956349 | + | 0.292228i | \(0.905603\pi\) | |||||||
\(18\) | −2.39847e9 | + | 9.96998e8i | −0.923399 | + | 0.383840i | ||||
\(19\) | 6.22690e7i | 0.0159816i | 0.999968 | + | 0.00799079i | \(0.00254357\pi\) | ||||
−0.999968 | + | 0.00799079i | \(0.997456\pi\) | |||||||
\(20\) | 8.68950e9 | + | 6.57717e9i | 1.51799 | + | 1.14898i | ||||
\(21\) | 5.52194e9 | + | 5.90779e9i | 0.669032 | + | 0.715782i | ||||
\(22\) | 5.83687e9 | + | 1.17383e10i | 0.498896 | + | 1.00331i | ||||
\(23\) | −2.88688e9 | −0.176795 | −0.0883976 | − | 0.996085i | \(-0.528175\pi\) | ||||
−0.0883976 | + | 0.996085i | \(0.528175\pi\) | |||||||
\(24\) | −1.89748e10 | + | 1.20338e10i | −0.844489 | + | 0.535574i | ||||
\(25\) | −8.00924e10 | −2.62447 | ||||||||
\(26\) | −4.81493e9 | − | 9.68315e9i | −0.117568 | − | 0.236437i | ||||
\(27\) | 3.43527e10 | + | 4.21213e10i | 0.632022 | + | 0.774950i | ||||
\(28\) | 5.57772e10 | + | 4.22183e10i | 0.781216 | + | 0.591311i | ||||
\(29\) | 3.09233e10i | 0.332890i | 0.986051 | + | 0.166445i | \(0.0532289\pi\) | ||||
−0.986051 | + | 0.166445i | \(0.946771\pi\) | |||||||
\(30\) | 7.98454e10 | − | 2.13616e11i | 0.666562 | − | 1.78330i | ||||
\(31\) | 4.97193e10i | 0.324573i | 0.986744 | + | 0.162286i | \(0.0518868\pi\) | ||||
−0.986744 | + | 0.162286i | \(0.948113\pi\) | |||||||
\(32\) | −1.44003e11 | + | 1.30546e11i | −0.740877 | + | 0.671641i | ||||
\(33\) | 2.00413e11 | − | 1.87324e11i | 0.818599 | − | 0.765134i | ||||
\(34\) | 1.60275e11 | − | 7.96964e10i | 0.523328 | − | 0.260224i | ||||
\(35\) | −7.09996e11 | −1.86529 | ||||||||
\(36\) | 3.54910e11 | + | 3.08404e11i | 0.754830 | + | 0.655920i | ||||
\(37\) | 2.95345e11 | 0.511466 | 0.255733 | − | 0.966747i | \(-0.417683\pi\) | ||||
0.255733 | + | 0.966747i | \(0.417683\pi\) | |||||||
\(38\) | 1.00930e10 | − | 5.01871e9i | 0.0143101 | − | 0.00711566i | ||||
\(39\) | −1.65324e11 | + | 1.54526e11i | −0.192908 | + | 0.180309i | ||||
\(40\) | 3.65722e11 | − | 1.93855e12i | 0.352940 | − | 1.87080i | ||||
\(41\) | − | 1.49988e12i | − | 1.20276i | −0.798964 | − | 0.601379i | \(-0.794618\pi\) | ||
0.798964 | − | 0.601379i | \(-0.205382\pi\) | |||||||
\(42\) | 5.12521e11 | − | 1.37118e12i | 0.343038 | − | 0.917754i | ||||
\(43\) | 2.69129e12i | 1.50990i | 0.655785 | + | 0.754948i | \(0.272338\pi\) | ||||
−0.655785 | + | 0.754948i | \(0.727662\pi\) | |||||||
\(44\) | 1.43219e12 | − | 1.89216e12i | 0.676249 | − | 0.893433i | ||||
\(45\) | −4.76131e12 | − | 3.21839e11i | −1.89947 | − | 0.128394i | ||||
\(46\) | 2.32675e11 | + | 4.67925e11i | 0.0787165 | + | 0.158304i | ||||
\(47\) | −4.45404e12 | −1.28239 | −0.641194 | − | 0.767378i | \(-0.721561\pi\) | ||||
−0.641194 | + | 0.767378i | \(0.721561\pi\) | |||||||
\(48\) | 3.47984e12 | + | 2.10568e12i | 0.855559 | + | 0.517705i | ||||
\(49\) | 1.90153e11 | 0.0400527 | ||||||||
\(50\) | 6.45523e12 | + | 1.29819e13i | 1.16852 | + | 2.34998i | ||||
\(51\) | −2.55771e12 | − | 2.73643e12i | −0.399094 | − | 0.426981i | ||||
\(52\) | −1.18144e12 | + | 1.56087e12i | −0.159362 | + | 0.210543i | ||||
\(53\) | 3.63427e12i | 0.424960i | 0.977165 | + | 0.212480i | \(0.0681541\pi\) | ||||
−0.977165 | + | 0.212480i | \(0.931846\pi\) | |||||||
\(54\) | 4.05857e12 | − | 8.96298e12i | 0.412496 | − | 0.910959i | ||||
\(55\) | 2.40856e13i | 2.13322i | ||||||||
\(56\) | 2.34754e12 | − | 1.24434e13i | 0.181636 | − | 0.962785i | ||||
\(57\) | −1.61066e11 | − | 1.72321e11i | −0.0109130 | − | 0.0116755i | ||||
\(58\) | 5.01226e12 | − | 2.49234e12i | 0.298074 | − | 0.148217i | ||||
\(59\) | 2.17253e13 | 1.13652 | 0.568259 | − | 0.822850i | \(-0.307617\pi\) | ||||
0.568259 | + | 0.822850i | \(0.307617\pi\) | |||||||
\(60\) | −4.10596e13 | + | 4.27500e12i | −1.89357 | + | 0.197152i | ||||
\(61\) | −3.26526e12 | −0.133028 | −0.0665142 | − | 0.997785i | \(-0.521188\pi\) | ||||
−0.0665142 | + | 0.997785i | \(0.521188\pi\) | |||||||
\(62\) | 8.05883e12 | − | 4.00724e12i | 0.290626 | − | 0.144513i | ||||
\(63\) | −3.05624e13 | − | 2.06586e12i | −0.977538 | − | 0.0660763i | ||||
\(64\) | 3.27659e13 | + | 1.28193e13i | 0.931263 | + | 0.364346i | ||||
\(65\) | − | 1.98686e13i | − | 0.502708i | ||||||
\(66\) | −4.65154e13 | − | 1.73865e13i | −1.04958 | − | 0.392313i | ||||
\(67\) | − | 7.11776e13i | − | 1.43477i | −0.696677 | − | 0.717385i | \(-0.745339\pi\) | ||
0.696677 | − | 0.717385i | \(-0.254661\pi\) | |||||||
\(68\) | −2.58355e13 | − | 1.95551e13i | −0.466014 | − | 0.352731i | ||||
\(69\) | 7.98905e12 | − | 7.46727e12i | 0.129160 | − | 0.120724i | ||||
\(70\) | 5.72238e13 | + | 1.15081e14i | 0.830503 | + | 1.67020i | ||||
\(71\) | −4.18952e13 | −0.546672 | −0.273336 | − | 0.961919i | \(-0.588127\pi\) | ||||
−0.273336 | + | 0.961919i | \(0.588127\pi\) | |||||||
\(72\) | 2.13834e13 | − | 8.23827e13i | 0.251236 | − | 0.967926i | ||||
\(73\) | 1.11208e14 | 1.17819 | 0.589093 | − | 0.808065i | \(-0.299485\pi\) | ||||
0.589093 | + | 0.808065i | \(0.299485\pi\) | |||||||
\(74\) | −2.38040e13 | − | 4.78715e13i | −0.227726 | − | 0.457972i | ||||
\(75\) | 2.21645e14 | − | 2.07169e14i | 1.91734 | − | 1.79211i | ||||
\(76\) | −1.62693e12 | − | 1.23144e12i | −0.0127429 | − | 0.00964521i | ||||
\(77\) | 1.54603e14i | 1.09784i | ||||||||
\(78\) | 3.83713e13 | + | 1.43424e13i | 0.247341 | + | 0.0924512i | ||||
\(79\) | 1.98903e14i | 1.16530i | 0.812722 | + | 0.582651i | \(0.197985\pi\) | ||||
−0.812722 | + | 0.582651i | \(0.802015\pi\) | |||||||
\(80\) | −3.43690e14 | + | 9.69635e13i | −1.83228 | + | 0.516932i | ||||
\(81\) | −2.04018e14 | − | 2.77077e13i | −0.990903 | − | 0.134574i | ||||
\(82\) | −2.43111e14 | + | 1.20886e14i | −1.07696 | + | 0.535518i | ||||
\(83\) | 1.29134e14 | 0.522344 | 0.261172 | − | 0.965292i | \(-0.415891\pi\) | ||||
0.261172 | + | 0.965292i | \(0.415891\pi\) | |||||||
\(84\) | −2.63559e14 | + | 2.74409e13i | −0.974501 | + | 0.101462i | ||||
\(85\) | 3.28864e14 | 1.11269 | ||||||||
\(86\) | 4.36222e14 | − | 2.16910e14i | 1.35198 | − | 0.672268i | ||||
\(87\) | −7.99869e13 | − | 8.55761e13i | −0.227313 | − | 0.243197i | ||||
\(88\) | −4.22124e14 | − | 7.96367e13i | −1.10108 | − | 0.207727i | ||||
\(89\) | 1.60087e14i | 0.383646i | 0.981430 | + | 0.191823i | \(0.0614399\pi\) | ||||
−0.981430 | + | 0.191823i | \(0.938560\pi\) | |||||||
\(90\) | 3.31582e14 | + | 7.97683e14i | 0.730757 | + | 1.75797i | ||||
\(91\) | − | 1.27535e14i | − | 0.258713i | ||||||
\(92\) | 5.70914e13 | − | 7.54270e13i | 0.106699 | − | 0.140967i | ||||
\(93\) | −1.28605e14 | − | 1.37591e14i | −0.221633 | − | 0.237120i | ||||
\(94\) | 3.58983e14 | + | 7.21940e14i | 0.570972 | + | 1.14826i | ||||
\(95\) | 2.07095e13 | 0.0304258 | ||||||||
\(96\) | 6.08361e13 | − | 7.33747e14i | 0.0826280 | − | 0.996580i | ||||
\(97\) | −1.03196e15 | −1.29681 | −0.648405 | − | 0.761296i | \(-0.724563\pi\) | ||||
−0.648405 | + | 0.761296i | \(0.724563\pi\) | |||||||
\(98\) | −1.53258e13 | − | 3.08212e13i | −0.0178331 | − | 0.0358636i | ||||
\(99\) | −7.00811e13 | + | 1.03678e15i | −0.0755678 | + | 1.11796i | ||||
\(100\) | 1.58392e15 | − | 2.09261e15i | 1.58392 | − | 2.09261i | ||||
\(101\) | 5.16077e14i | 0.478965i | 0.970901 | + | 0.239483i | \(0.0769779\pi\) | ||||
−0.970901 | + | 0.239483i | \(0.923022\pi\) | |||||||
\(102\) | −2.37395e14 | + | 6.35120e14i | −0.204630 | + | 0.547462i | ||||
\(103\) | − | 3.00999e14i | − | 0.241149i | −0.992704 | − | 0.120574i | \(-0.961526\pi\) | ||
0.992704 | − | 0.120574i | \(-0.0384736\pi\) | |||||||
\(104\) | 3.48217e14 | + | 6.56936e13i | 0.259478 | + | 0.0489523i | ||||
\(105\) | 1.96482e15 | − | 1.83649e15i | 1.36271 | − | 1.27371i | ||||
\(106\) | 5.89067e14 | − | 2.92912e14i | 0.380514 | − | 0.189210i | ||||
\(107\) | −3.15916e15 | −1.90192 | −0.950961 | − | 0.309310i | \(-0.899902\pi\) | ||||
−0.950961 | + | 0.309310i | \(0.899902\pi\) | |||||||
\(108\) | −1.77989e15 | + | 6.45513e13i | −0.999343 | + | 0.0362432i | ||||
\(109\) | −1.49688e15 | −0.784313 | −0.392156 | − | 0.919899i | \(-0.628271\pi\) | ||||
−0.392156 | + | 0.919899i | \(0.628271\pi\) | |||||||
\(110\) | 3.90395e15 | − | 1.94123e15i | 1.91011 | − | 0.949800i | ||||
\(111\) | −8.17327e14 | + | 7.63945e14i | −0.373657 | + | 0.349253i | ||||
\(112\) | −2.20612e15 | + | 6.22401e14i | −0.942960 | + | 0.266033i | ||||
\(113\) | − | 2.24823e15i | − | 0.898987i | −0.893284 | − | 0.449493i | \(-0.851605\pi\) | ||
0.893284 | − | 0.449493i | \(-0.148395\pi\) | |||||||
\(114\) | −1.49494e13 | + | 3.99953e13i | −0.00559549 | + | 0.0149700i | ||||
\(115\) | 9.60121e14i | 0.336583i | ||||||||
\(116\) | −8.07949e14 | − | 6.11545e14i | −0.265429 | − | 0.200906i | ||||
\(117\) | 5.78110e13 | − | 8.55260e14i | 0.0178080 | − | 0.263454i | ||||
\(118\) | −1.75100e15 | − | 3.52139e15i | −0.506025 | − | 1.01765i | ||||
\(119\) | 2.11095e15 | 0.572632 | ||||||||
\(120\) | 4.00222e15 | + | 6.31067e15i | 1.01963 | + | 1.60774i | ||||
\(121\) | 1.06744e15 | 0.255536 | ||||||||
\(122\) | 2.63171e14 | + | 5.29256e14i | 0.0592297 | + | 0.119115i | ||||
\(123\) | 3.87963e15 | + | 4.15072e15i | 0.821300 | + | 0.878689i | ||||
\(124\) | −1.29904e15 | − | 9.83256e14i | −0.258797 | − | 0.195886i | ||||
\(125\) | 1.64876e16i | 3.09267i | ||||||||
\(126\) | 2.12840e15 | + | 5.12026e15i | 0.376075 | + | 0.904718i | ||||
\(127\) | − | 3.71906e15i | − | 0.619305i | −0.950850 | − | 0.309653i | \(-0.899787\pi\) | ||
0.950850 | − | 0.309653i | \(-0.100213\pi\) | |||||||
\(128\) | −5.63006e14 | − | 6.34412e15i | −0.0883972 | − | 0.996085i | ||||
\(129\) | −6.96134e15 | − | 7.44777e15i | −1.03103 | − | 1.10307i | ||||
\(130\) | −3.22043e15 | + | 1.60135e15i | −0.450130 | + | 0.223827i | ||||
\(131\) | −4.77701e15 | −0.630407 | −0.315204 | − | 0.949024i | \(-0.602073\pi\) | ||||
−0.315204 | + | 0.949024i | \(0.602073\pi\) | |||||||
\(132\) | 9.30891e14 | + | 8.94083e15i | 0.116036 | + | 1.11448i | ||||
\(133\) | 1.32932e14 | 0.0156583 | ||||||||
\(134\) | −1.15369e16 | + | 5.73672e15i | −1.28471 | + | 0.638818i | ||||
\(135\) | 1.40087e16 | − | 1.14250e16i | 1.47535 | − | 1.20325i | ||||
\(136\) | −1.08736e15 | + | 5.76367e15i | −0.108350 | + | 0.574325i | ||||
\(137\) | − | 5.77103e14i | − | 0.0544313i | −0.999630 | − | 0.0272157i | \(-0.991336\pi\) | ||
0.999630 | − | 0.0272157i | \(-0.00866409\pi\) | |||||||
\(138\) | −1.85424e15 | − | 6.93078e14i | −0.165605 | − | 0.0618997i | ||||
\(139\) | − | 8.39263e15i | − | 0.710047i | −0.934857 | − | 0.355023i | \(-0.884473\pi\) | ||
0.934857 | − | 0.355023i | \(-0.115527\pi\) | |||||||
\(140\) | 1.40410e16 | − | 1.85504e16i | 1.12574 | − | 1.48728i | ||||
\(141\) | 1.23259e16 | − | 1.15209e16i | 0.936864 | − | 0.875675i | ||||
\(142\) | 3.37664e15 | + | 6.79066e15i | 0.243401 | + | 0.489496i | ||||
\(143\) | −4.32642e15 | −0.295875 | ||||||||
\(144\) | −1.50766e16 | + | 3.17386e15i | −0.978552 | + | 0.206001i | ||||
\(145\) | 1.02845e16 | 0.633758 | ||||||||
\(146\) | −8.96305e15 | − | 1.80253e16i | −0.524577 | − | 1.05496i | ||||
\(147\) | −5.26222e14 | + | 4.91853e14i | −0.0292610 | + | 0.0273499i | ||||
\(148\) | −5.84079e15 | + | 7.71662e15i | −0.308680 | + | 0.407816i | ||||
\(149\) | 1.81929e16i | 0.914122i | 0.889435 | + | 0.457061i | \(0.151098\pi\) | ||||
−0.889435 | + | 0.457061i | \(0.848902\pi\) | |||||||
\(150\) | −5.14432e16 | − | 1.92284e16i | −2.45835 | − | 0.918882i | ||||
\(151\) | 9.74788e15i | 0.443183i | 0.975140 | + | 0.221591i | \(0.0711251\pi\) | ||||
−0.975140 | + | 0.221591i | \(0.928875\pi\) | |||||||
\(152\) | −6.84739e13 | + | 3.62955e14i | −0.00296277 | + | 0.0157045i | ||||
\(153\) | 1.41562e16 | + | 9.56885e14i | 0.583125 | + | 0.0394161i | ||||
\(154\) | 2.50591e16 | − | 1.24606e16i | 0.983016 | − | 0.488803i | ||||
\(155\) | 1.65357e16 | 0.617922 | ||||||||
\(156\) | −7.67907e14 | − | 7.37543e15i | −0.0273448 | − | 0.262635i | ||||
\(157\) | 5.74704e15 | 0.195073 | 0.0975364 | − | 0.995232i | \(-0.468904\pi\) | ||||
0.0975364 | + | 0.995232i | \(0.468904\pi\) | |||||||
\(158\) | 3.22396e16 | − | 1.60311e16i | 1.04342 | − | 0.518841i | ||||
\(159\) | −9.40048e15 | − | 1.00574e16i | −0.290183 | − | 0.310460i | ||||
\(160\) | 4.34169e16 | + | 4.78925e16i | 1.27867 | + | 1.41048i | ||||
\(161\) | 6.16294e15i | 0.173218i | ||||||||
\(162\) | 1.19523e16 | + | 3.53018e16i | 0.320692 | + | 0.947184i | ||||
\(163\) | − | 3.06599e15i | − | 0.0785533i | −0.999228 | − | 0.0392766i | \(-0.987495\pi\) | ||
0.999228 | − | 0.0392766i | \(-0.0125054\pi\) | |||||||
\(164\) | 3.91882e16 | + | 2.96619e16i | 0.959016 | + | 0.725889i | ||||
\(165\) | −6.23002e16 | − | 6.66535e16i | −1.45667 | − | 1.55845i | ||||
\(166\) | −1.04079e16 | − | 2.09310e16i | −0.232569 | − | 0.467712i | ||||
\(167\) | −6.03839e16 | −1.28987 | −0.644937 | − | 0.764236i | \(-0.723116\pi\) | ||||
−0.644937 | + | 0.764236i | \(0.723116\pi\) | |||||||
\(168\) | 2.56899e16 | + | 4.05077e16i | 0.524738 | + | 0.827404i | ||||
\(169\) | −4.76170e16 | −0.930275 | ||||||||
\(170\) | −2.65055e16 | − | 5.33044e16i | −0.495415 | − | 0.996314i | ||||
\(171\) | 8.91457e14 | + | 6.02577e13i | 0.0159452 | + | 0.00107781i | ||||
\(172\) | −7.03166e16 | − | 5.32234e16i | −1.20391 | − | 0.911253i | ||||
\(173\) | 5.54209e16i | 0.908506i | 0.890873 | + | 0.454253i | \(0.150094\pi\) | ||||
−0.890873 | + | 0.454253i | \(0.849906\pi\) | |||||||
\(174\) | −7.42402e15 | + | 1.98620e16i | −0.116552 | + | 0.311820i | ||||
\(175\) | 1.70982e17i | 2.57137i | ||||||||
\(176\) | 2.11140e16 | + | 7.48392e16i | 0.304247 | + | 1.07841i | ||||
\(177\) | −6.01219e16 | + | 5.61952e16i | −0.830297 | + | 0.776068i | ||||
\(178\) | 2.59479e16 | − | 1.29026e16i | 0.343520 | − | 0.170815i | ||||
\(179\) | 3.27220e16 | 0.415377 | 0.207688 | − | 0.978195i | \(-0.433406\pi\) | ||||
0.207688 | + | 0.978195i | \(0.433406\pi\) | |||||||
\(180\) | 1.02569e17 | − | 1.18036e17i | 1.24874 | − | 1.43705i | ||||
\(181\) | 8.38904e16 | 0.979767 | 0.489884 | − | 0.871788i | \(-0.337039\pi\) | ||||
0.489884 | + | 0.871788i | \(0.337039\pi\) | |||||||
\(182\) | −2.06717e16 | + | 1.02789e16i | −0.231654 | + | 0.115190i | ||||
\(183\) | 9.03617e15 | − | 8.44599e15i | 0.0971855 | − | 0.0908380i | ||||
\(184\) | −1.68271e16 | − | 3.17455e15i | −0.173730 | − | 0.0327755i | ||||
\(185\) | − | 9.82260e16i | − | 0.973730i | ||||||
\(186\) | −1.19365e16 | + | 3.19346e16i | −0.113640 | + | 0.304029i | ||||
\(187\) | − | 7.16108e16i | − | 0.654887i | ||||||
\(188\) | 8.80837e16 | − | 1.16373e17i | 0.773948 | − | 1.02251i | ||||
\(189\) | 8.99210e16 | − | 7.33364e16i | 0.759272 | − | 0.619236i | ||||
\(190\) | −1.66913e15 | − | 3.35673e15i | −0.0135468 | − | 0.0272436i | ||||
\(191\) | −1.70177e17 | −1.32786 | −0.663929 | − | 0.747795i | \(-0.731112\pi\) | ||||
−0.663929 | + | 0.747795i | \(0.731112\pi\) | |||||||
\(192\) | −1.23834e17 | + | 4.92773e16i | −0.929138 | + | 0.369733i | ||||
\(193\) | 8.40790e16 | 0.606747 | 0.303374 | − | 0.952872i | \(-0.401887\pi\) | ||||
0.303374 | + | 0.952872i | \(0.401887\pi\) | |||||||
\(194\) | 8.31734e16 | + | 1.67267e17i | 0.577393 | + | 1.16118i | ||||
\(195\) | 5.13924e16 | + | 5.49835e16i | 0.343273 | + | 0.367260i | ||||
\(196\) | −3.76049e15 | + | 4.96821e15i | −0.0241726 | + | 0.0319359i | ||||
\(197\) | − | 5.07424e16i | − | 0.313960i | −0.987602 | − | 0.156980i | \(-0.949824\pi\) | ||
0.987602 | − | 0.156980i | \(-0.0501758\pi\) | |||||||
\(198\) | 1.73697e17 | − | 7.22028e16i | 1.03468 | − | 0.430096i | ||||
\(199\) | − | 3.13880e17i | − | 1.80039i | −0.435490 | − | 0.900193i | \(-0.643425\pi\) | ||
0.435490 | − | 0.900193i | \(-0.356575\pi\) | |||||||
\(200\) | −4.66844e17 | − | 8.80734e16i | −2.57897 | − | 0.486541i | ||||
\(201\) | 1.84109e17 | + | 1.96974e17i | 0.979727 | + | 1.04819i | ||||
\(202\) | 8.36492e16 | − | 4.15944e16i | 0.428871 | − | 0.213255i | ||||
\(203\) | 6.60154e16 | 0.326156 | ||||||||
\(204\) | 1.22078e17 | − | 1.27104e16i | 0.581314 | − | 0.0605246i | ||||
\(205\) | −4.98832e17 | −2.28982 | ||||||||
\(206\) | −4.87878e16 | + | 2.42597e16i | −0.215927 | + | 0.107369i | ||||
\(207\) | −2.79364e15 | + | 4.13293e16i | −0.0119232 | + | 0.176393i | ||||
\(208\) | −1.74173e16 | − | 6.17360e16i | −0.0716977 | − | 0.254135i | ||||
\(209\) | − | 4.50953e15i | − | 0.0179075i | ||||||
\(210\) | −4.56030e17 | − | 1.70455e17i | −1.74722 | − | 0.653077i | ||||
\(211\) | − | 9.66301e16i | − | 0.357268i | −0.983916 | − | 0.178634i | \(-0.942832\pi\) | ||
0.983916 | − | 0.178634i | \(-0.0571678\pi\) | |||||||
\(212\) | −9.49544e16 | − | 7.18720e16i | −0.338841 | − | 0.256472i | ||||
\(213\) | 1.15939e17 | − | 1.08367e17i | 0.399378 | − | 0.373293i | ||||
\(214\) | 2.54619e17 | + | 5.12057e17i | 0.846814 | + | 1.70300i | ||||
\(215\) | 8.95071e17 | 2.87454 | ||||||||
\(216\) | 1.53917e17 | + | 2.83293e17i | 0.477401 | + | 0.878685i | ||||
\(217\) | 1.06141e17 | 0.318006 | ||||||||
\(218\) | 1.20645e17 | + | 2.42625e17i | 0.349208 | + | 0.702282i | ||||
\(219\) | −3.07753e17 | + | 2.87652e17i | −0.860738 | + | 0.804521i | ||||
\(220\) | −6.29295e17 | − | 4.76320e17i | −1.70092 | − | 1.28744i | ||||
\(221\) | 5.90728e16i | 0.154328i | ||||||||
\(222\) | 1.89700e17 | + | 7.09059e16i | 0.479092 | + | 0.179075i | ||||
\(223\) | − | 5.01664e17i | − | 1.22497i | −0.790481 | − | 0.612487i | \(-0.790169\pi\) | ||
0.790481 | − | 0.612487i | \(-0.209831\pi\) | |||||||
\(224\) | 2.78690e17 | + | 3.07418e17i | 0.658053 | + | 0.725888i | ||||
\(225\) | −7.75055e16 | + | 1.14662e18i | −0.176996 | + | 2.61849i | ||||
\(226\) | −3.64409e17 | + | 1.81202e17i | −0.804962 | + | 0.400266i | ||||
\(227\) | −4.52676e16 | −0.0967371 | −0.0483686 | − | 0.998830i | \(-0.515402\pi\) | ||||
−0.0483686 | + | 0.998830i | \(0.515402\pi\) | |||||||
\(228\) | 7.68758e15 | − | 8.00407e14i | 0.0158957 | − | 0.00165501i | ||||
\(229\) | 8.67256e17 | 1.73533 | 0.867663 | − | 0.497153i | \(-0.165621\pi\) | ||||
0.867663 | + | 0.497153i | \(0.165621\pi\) | |||||||
\(230\) | 1.55623e17 | − | 7.73832e16i | 0.301380 | − | 0.149861i | ||||
\(231\) | −3.99900e17 | − | 4.27844e17i | −0.749655 | − | 0.802038i | ||||
\(232\) | −3.40048e16 | + | 1.80247e17i | −0.0617135 | + | 0.327120i | ||||
\(233\) | − | 9.66442e17i | − | 1.69827i | −0.528178 | − | 0.849134i | \(-0.677124\pi\) | ||
0.528178 | − | 0.849134i | \(-0.322876\pi\) | |||||||
\(234\) | −1.43286e17 | + | 5.95612e16i | −0.243828 | + | 0.101355i | ||||
\(235\) | 1.48133e18i | 2.44142i | ||||||||
\(236\) | −4.29644e17 | + | 5.67628e17i | −0.685912 | + | 0.906200i | ||||
\(237\) | −5.14487e17 | − | 5.50438e17i | −0.795723 | − | 0.851325i | ||||
\(238\) | −1.70137e17 | − | 3.42157e17i | −0.254959 | − | 0.512741i | ||||
\(239\) | −3.69115e17 | −0.536015 | −0.268008 | − | 0.963417i | \(-0.586365\pi\) | ||||
−0.268008 | + | 0.963417i | \(0.586365\pi\) | |||||||
\(240\) | 7.00307e17 | − | 1.15733e18i | 0.985608 | − | 1.62882i | ||||
\(241\) | −8.78718e17 | −1.19873 | −0.599365 | − | 0.800475i | \(-0.704580\pi\) | ||||
−0.599365 | + | 0.800475i | \(0.704580\pi\) | |||||||
\(242\) | −8.60324e16 | − | 1.73017e17i | −0.113775 | − | 0.228809i | ||||
\(243\) | 6.36262e17 | − | 4.51040e17i | 0.815810 | − | 0.578320i | ||||
\(244\) | 6.45744e16 | − | 8.53131e16i | 0.0802854 | − | 0.106070i | ||||
\(245\) | − | 6.32412e16i | − | 0.0762525i | ||||||
\(246\) | 3.60089e17 | − | 9.63373e17i | 0.421111 | − | 1.12663i | ||||
\(247\) | 3.71998e15i | 0.00422001i | ||||||||
\(248\) | −5.46737e16 | + | 2.89805e17i | −0.0601715 | + | 0.318946i | ||||
\(249\) | −3.57362e17 | + | 3.34022e17i | −0.381604 | + | 0.356681i | ||||
\(250\) | 2.67242e18 | − | 1.32886e18i | 2.76921 | − | 1.37698i | ||||
\(251\) | −7.88585e17 | −0.793041 | −0.396521 | − | 0.918026i | \(-0.629782\pi\) | ||||
−0.396521 | + | 0.918026i | \(0.629782\pi\) | |||||||
\(252\) | 6.58383e17 | − | 7.57665e17i | 0.642650 | − | 0.739559i | ||||
\(253\) | 2.09069e17 | 0.198100 | ||||||||
\(254\) | −6.02809e17 | + | 2.99746e17i | −0.554533 | + | 0.275740i | ||||
\(255\) | −9.10085e17 | + | 8.50645e17i | −0.812888 | + | 0.759796i | ||||
\(256\) | −9.82920e17 | + | 6.02574e17i | −0.852547 | + | 0.522650i | ||||
\(257\) | − | 1.65283e18i | − | 1.39229i | −0.717902 | − | 0.696144i | \(-0.754898\pi\) | ||
0.717902 | − | 0.696144i | \(-0.245102\pi\) | |||||||
\(258\) | −6.46120e17 | + | 1.72861e18i | −0.528646 | + | 1.41433i | ||||
\(259\) | − | 6.30505e17i | − | 0.501118i | ||||||
\(260\) | 5.19115e17 | + | 3.92924e17i | 0.400833 | + | 0.303395i | ||||
\(261\) | 4.42706e17 | + | 2.99245e16i | 0.332133 | + | 0.0224504i | ||||
\(262\) | 3.85014e17 | + | 7.74289e17i | 0.280683 | + | 0.564474i | ||||
\(263\) | −1.84436e18 | −1.30670 | −0.653352 | − | 0.757055i | \(-0.726638\pi\) | ||||
−0.653352 | + | 0.757055i | \(0.726638\pi\) | |||||||
\(264\) | 1.37416e18 | − | 8.71491e17i | 0.946255 | − | 0.600114i | ||||
\(265\) | 1.20869e18 | 0.809041 | ||||||||
\(266\) | −1.07140e16 | − | 2.15466e16i | −0.00697170 | − | 0.0140206i | ||||
\(267\) | −4.14084e17 | − | 4.43018e17i | −0.261971 | − | 0.280277i | ||||
\(268\) | 1.85969e18 | + | 1.40762e18i | 1.14401 | + | 0.865913i | ||||
\(269\) | 2.08695e18i | 1.24844i | 0.781247 | + | 0.624222i | \(0.214584\pi\) | ||||
−0.781247 | + | 0.624222i | \(0.785416\pi\) | |||||||
\(270\) | −2.98091e18 | − | 1.34980e18i | −1.73429 | − | 0.785312i | ||||
\(271\) | 1.61672e18i | 0.914881i | 0.889240 | + | 0.457441i | \(0.151234\pi\) | ||||
−0.889240 | + | 0.457441i | \(0.848766\pi\) | |||||||
\(272\) | 1.02185e18 | − | 2.88290e17i | 0.562499 | − | 0.158695i | ||||
\(273\) | 3.29884e17 | + | 3.52935e17i | 0.176661 | + | 0.189006i | ||||
\(274\) | −9.35407e16 | + | 4.65129e16i | −0.0487384 | + | 0.0242351i | ||||
\(275\) | 5.80031e18 | 2.94073 | ||||||||
\(276\) | 3.71081e16 | + | 3.56408e17i | 0.0183084 | + | 0.175845i | ||||
\(277\) | −3.16017e18 | −1.51744 | −0.758720 | − | 0.651416i | \(-0.774175\pi\) | ||||
−0.758720 | + | 0.651416i | \(0.774175\pi\) | |||||||
\(278\) | −1.36033e18 | + | 6.76423e17i | −0.635783 | + | 0.316142i | ||||
\(279\) | 7.11793e17 | + | 4.81134e16i | 0.323834 | + | 0.0218894i | ||||
\(280\) | −4.13844e18 | − | 7.80746e17i | −1.83295 | − | 0.345800i | ||||
\(281\) | − | 5.35688e17i | − | 0.231001i | −0.993307 | − | 0.115501i | \(-0.963153\pi\) | ||
0.993307 | − | 0.115501i | \(-0.0368472\pi\) | |||||||
\(282\) | −2.86082e18 | − | 1.06932e18i | −1.20122 | − | 0.448992i | ||||
\(283\) | 2.43367e18i | 0.995094i | 0.867437 | + | 0.497547i | \(0.165766\pi\) | ||||
−0.867437 | + | 0.497547i | \(0.834234\pi\) | |||||||
\(284\) | 8.28527e17 | − | 1.09462e18i | 0.329928 | − | 0.435888i | ||||
\(285\) | −5.73106e16 | + | 5.35675e16i | −0.0222279 | + | 0.0207761i | ||||
\(286\) | 3.48698e17 | + | 7.01255e17i | 0.131736 | + | 0.264930i | ||||
\(287\) | −3.20196e18 | −1.17843 | ||||||||
\(288\) | 1.72957e18 | + | 2.18791e18i | 0.620147 | + | 0.784486i | ||||
\(289\) | 1.88465e18 | 0.658411 | ||||||||
\(290\) | −8.28903e17 | − | 1.66698e18i | −0.282175 | − | 0.567474i | ||||
\(291\) | 2.85582e18 | − | 2.66930e18i | 0.947399 | − | 0.885522i | ||||
\(292\) | −2.19926e18 | + | 2.90558e18i | −0.711060 | + | 0.939424i | ||||
\(293\) | 3.69904e18i | 1.16569i | 0.812585 | + | 0.582843i | \(0.198060\pi\) | ||||
−0.812585 | + | 0.582843i | \(0.801940\pi\) | |||||||
\(294\) | 1.22135e17 | + | 4.56516e16i | 0.0375176 | + | 0.0140233i | ||||
\(295\) | − | 7.22543e18i | − | 2.16371i | ||||||
\(296\) | 1.72151e18 | + | 3.24775e17i | 0.502600 | + | 0.0948190i | ||||
\(297\) | −2.48783e18 | − | 3.05043e18i | −0.708186 | − | 0.868337i | ||||
\(298\) | 2.94882e18 | − | 1.46629e18i | 0.818514 | − | 0.407005i | ||||
\(299\) | −1.72464e17 | −0.0466836 | ||||||||
\(300\) | 1.02951e18 | + | 9.88802e18i | 0.271782 | + | 2.61036i | ||||
\(301\) | 5.74539e18 | 1.47935 | ||||||||
\(302\) | 1.58000e18 | − | 7.85652e17i | 0.396831 | − | 0.197323i | ||||
\(303\) | −1.33490e18 | − | 1.42817e18i | −0.327060 | − | 0.349914i | ||||
\(304\) | 6.43489e16 | − | 1.81544e16i | 0.0153812 | − | 0.00433941i | ||||
\(305\) | 1.08596e18i | 0.253260i | ||||||||
\(306\) | −9.85855e17 | − | 2.37166e18i | −0.224338 | − | 0.539686i | ||||
\(307\) | − | 2.87107e18i | − | 0.637537i | −0.947833 | − | 0.318769i | \(-0.896731\pi\) | ||
0.947833 | − | 0.318769i | \(-0.103269\pi\) | |||||||
\(308\) | −4.03939e18 | − | 3.05746e18i | −0.875358 | − | 0.662568i | ||||
\(309\) | 7.78569e17 | + | 8.32973e17i | 0.164668 | + | 0.176174i | ||||
\(310\) | −1.33273e18 | − | 2.68021e18i | −0.275125 | − | 0.553294i | ||||
\(311\) | 2.84259e18 | 0.572812 | 0.286406 | − | 0.958108i | \(-0.407539\pi\) | ||||
0.286406 | + | 0.958108i | \(0.407539\pi\) | |||||||
\(312\) | −1.13357e18 | + | 7.18907e17i | −0.222991 | + | 0.141421i | ||||
\(313\) | −2.40172e18 | −0.461254 | −0.230627 | − | 0.973042i | \(-0.574078\pi\) | ||||
−0.230627 | + | 0.973042i | \(0.574078\pi\) | |||||||
\(314\) | −4.63196e17 | − | 9.31518e17i | −0.0868545 | − | 0.174670i | ||||
\(315\) | −6.87064e17 | + | 1.01645e19i | −0.125796 | + | 1.86104i | ||||
\(316\) | −5.19684e18 | − | 3.93354e18i | −0.929151 | − | 0.703284i | ||||
\(317\) | − | 9.18122e17i | − | 0.160308i | −0.996782 | − | 0.0801541i | \(-0.974459\pi\) | ||
0.996782 | − | 0.0801541i | \(-0.0255412\pi\) | |||||||
\(318\) | −8.72510e17 | + | 2.33429e18i | −0.148788 | + | 0.398062i | ||||
\(319\) | − | 2.23947e18i | − | 0.373006i | ||||||
\(320\) | 4.26345e18 | − | 1.08973e19i | 0.693644 | − | 1.77294i | ||||
\(321\) | 8.74254e18 | − | 8.17154e18i | 1.38947 | − | 1.29872i | ||||
\(322\) | 9.98930e17 | − | 4.96716e17i | 0.155102 | − | 0.0771240i | ||||
\(323\) | −6.15730e16 | −0.00934053 | ||||||||
\(324\) | 4.75863e18 | − | 4.78253e18i | 0.705333 | − | 0.708876i | ||||
\(325\) | −4.78476e18 | −0.693003 | ||||||||
\(326\) | −4.96957e17 | + | 2.47111e17i | −0.0703374 | + | 0.0349752i | ||||
\(327\) | 4.14242e18 | − | 3.87187e18i | 0.572989 | − | 0.535565i | ||||
\(328\) | 1.64934e18 | − | 8.74255e18i | 0.222976 | − | 1.18191i | ||||
\(329\) | 9.50851e18i | 1.25644i | ||||||||
\(330\) | −5.78242e18 | + | 1.54701e19i | −0.746887 | + | 1.99820i | ||||
\(331\) | 1.34144e19i | 1.69380i | 0.531750 | + | 0.846902i | \(0.321535\pi\) | ||||
−0.531750 | + | 0.846902i | \(0.678465\pi\) | |||||||
\(332\) | −2.55378e18 | + | 3.37396e18i | −0.315245 | + | 0.416490i | ||||
\(333\) | 2.85805e17 | − | 4.22823e18i | 0.0344936 | − | 0.510301i | ||||
\(334\) | 4.86677e18 | + | 9.78742e18i | 0.574305 | + | 1.15497i | ||||
\(335\) | −2.36723e19 | −2.73152 | ||||||||
\(336\) | 4.49521e18 | − | 7.42880e18i | 0.507231 | − | 0.838251i | ||||
\(337\) | −1.44132e19 | −1.59051 | −0.795255 | − | 0.606275i | \(-0.792663\pi\) | ||||
−0.795255 | + | 0.606275i | \(0.792663\pi\) | |||||||
\(338\) | 3.83780e18 | + | 7.71807e18i | 0.414197 | + | 0.832978i | ||||
\(339\) | 5.81533e18 | + | 6.22168e18i | 0.613870 | + | 0.656765i | ||||
\(340\) | −6.50366e18 | + | 8.59238e18i | −0.671531 | + | 0.887200i | ||||
\(341\) | − | 3.60068e18i | − | 0.363686i | ||||||
\(342\) | −6.20821e16 | − | 1.49350e17i | −0.00613437 | − | 0.0147574i | ||||
\(343\) | − | 1.05411e19i | − | 1.01901i | ||||||
\(344\) | −2.95947e18 | + | 1.56870e19i | −0.279915 | + | 1.48372i | ||||
\(345\) | −2.48347e18 | − | 2.65701e18i | −0.229835 | − | 0.245895i | ||||
\(346\) | 8.98298e18 | − | 4.46677e18i | 0.813486 | − | 0.404504i | ||||
\(347\) | 5.85580e17 | 0.0518937 | 0.0259469 | − | 0.999663i | \(-0.491740\pi\) | ||||
0.0259469 | + | 0.999663i | \(0.491740\pi\) | |||||||
\(348\) | 3.81772e18 | − | 3.97489e17i | 0.331101 | − | 0.0344732i | ||||
\(349\) | −2.20097e18 | −0.186820 | −0.0934100 | − | 0.995628i | \(-0.529777\pi\) | ||||
−0.0934100 | + | 0.995628i | \(0.529777\pi\) | |||||||
\(350\) | 2.77139e19 | − | 1.37807e19i | 2.30243 | − | 1.14488i | ||||
\(351\) | 2.05225e18 | + | 2.51635e18i | 0.166889 | + | 0.204629i | ||||
\(352\) | 1.04287e19 | − | 9.45414e18i | 0.830157 | − | 0.752579i | ||||
\(353\) | 2.05266e19i | 1.59958i | 0.600280 | + | 0.799790i | \(0.295056\pi\) | ||||
−0.600280 | + | 0.799790i | \(0.704944\pi\) | |||||||
\(354\) | 1.39542e19 | + | 5.21578e18i | 1.06458 | + | 0.397919i | ||||
\(355\) | 1.39335e19i | 1.04076i | ||||||||
\(356\) | −4.18266e18 | − | 3.16590e18i | −0.305899 | − | 0.231538i | ||||
\(357\) | −5.84176e18 | + | 5.46022e18i | −0.418343 | + | 0.391020i | ||||
\(358\) | −2.63731e18 | − | 5.30380e18i | −0.184943 | − | 0.371933i | ||||
\(359\) | 1.21071e19 | 0.831440 | 0.415720 | − | 0.909493i | \(-0.363530\pi\) | ||||
0.415720 | + | 0.909493i | \(0.363530\pi\) | |||||||
\(360\) | −2.73989e19 | − | 7.11170e18i | −1.84274 | − | 0.478305i | ||||
\(361\) | 1.51772e19 | 0.999745 | ||||||||
\(362\) | −6.76134e18 | − | 1.35975e19i | −0.436233 | − | 0.877294i | ||||
\(363\) | −2.95398e18 | + | 2.76105e18i | −0.186685 | + | 0.174492i | ||||
\(364\) | 3.33216e18 | + | 2.52215e18i | 0.206284 | + | 0.156138i | ||||
\(365\) | − | 3.69856e19i | − | 2.24304i | ||||||
\(366\) | −2.09727e18 | − | 7.83919e17i | −0.124608 | − | 0.0465761i | ||||
\(367\) | 6.43775e18i | 0.374747i | 0.982289 | + | 0.187374i | \(0.0599975\pi\) | ||||
−0.982289 | + | 0.187374i | \(0.940002\pi\) | |||||||
\(368\) | 8.41667e17 | + | 2.98331e18i | 0.0480045 | + | 0.170153i | ||||
\(369\) | −2.14727e19 | − | 1.45144e18i | −1.20002 | − | 0.0811149i | ||||
\(370\) | −1.59211e19 | + | 7.91675e18i | −0.871888 | + | 0.433545i | ||||
\(371\) | 7.75848e18 | 0.416363 | ||||||||
\(372\) | 6.13822e18 | − | 6.39093e17i | 0.322828 | − | 0.0336118i | ||||
\(373\) | 1.96745e19 | 1.01412 | 0.507058 | − | 0.861912i | \(-0.330733\pi\) | ||||
0.507058 | + | 0.861912i | \(0.330733\pi\) | |||||||
\(374\) | −1.16071e19 | + | 5.77163e18i | −0.586393 | + | 0.291583i | ||||
\(375\) | −4.26472e19 | − | 4.56273e19i | −2.11182 | − | 2.25938i | ||||
\(376\) | −2.59618e19 | − | 4.89787e18i | −1.26016 | − | 0.237738i | ||||
\(377\) | 1.84738e18i | 0.0879013i | ||||||||
\(378\) | −1.91342e19 | − | 8.66427e18i | −0.892530 | − | 0.404151i | ||||
\(379\) | − | 8.39709e18i | − | 0.384003i | −0.981395 | − | 0.192002i | \(-0.938502\pi\) | ||
0.981395 | − | 0.192002i | \(-0.0614979\pi\) | |||||||
\(380\) | −4.09554e17 | + | 5.41086e17i | −0.0183626 | + | 0.0242599i | ||||
\(381\) | 9.61978e18 | + | 1.02920e19i | 0.422891 | + | 0.452441i | ||||
\(382\) | 1.37158e19 | + | 2.75835e19i | 0.591217 | + | 1.18898i | ||||
\(383\) | −7.98322e18 | −0.337433 | −0.168716 | − | 0.985665i | \(-0.553962\pi\) | ||||
−0.168716 | + | 0.985665i | \(0.553962\pi\) | |||||||
\(384\) | 1.79679e19 | + | 1.61002e19i | 0.744753 | + | 0.667340i | ||||
\(385\) | 5.14181e19 | 2.09007 | ||||||||
\(386\) | −6.77654e18 | − | 1.36281e19i | −0.270149 | − | 0.543288i | ||||
\(387\) | 3.85291e19 | + | 2.60436e18i | 1.50646 | + | 0.101828i | ||||
\(388\) | 2.04083e19 | − | 2.69626e19i | 0.782651 | − | 1.03401i | ||||
\(389\) | 2.98387e18i | 0.112242i | 0.998424 | + | 0.0561212i | \(0.0178733\pi\) | ||||
−0.998424 | + | 0.0561212i | \(0.982127\pi\) | |||||||
\(390\) | 4.77001e18 | − | 1.27615e19i | 0.176009 | − | 0.470889i | ||||
\(391\) | − | 2.85462e18i | − | 0.103329i | ||||||
\(392\) | 1.10837e18 | + | 2.09101e17i | 0.0393584 | + | 0.00742525i | ||||
\(393\) | 1.32197e19 | − | 1.23563e19i | 0.460552 | − | 0.430472i | ||||
\(394\) | −8.22466e18 | + | 4.08970e18i | −0.281123 | + | 0.139788i | ||||
\(395\) | 6.61514e19 | 2.21851 | ||||||||
\(396\) | −2.57026e19 | − | 2.23347e19i | −0.845793 | − | 0.734963i | ||||
\(397\) | −4.83928e19 | −1.56262 | −0.781308 | − | 0.624146i | \(-0.785447\pi\) | ||||
−0.781308 | + | 0.624146i | \(0.785447\pi\) | |||||||
\(398\) | −5.08758e19 | + | 2.52979e19i | −1.61209 | + | 0.801606i | ||||
\(399\) | −3.67872e17 | + | 3.43845e17i | −0.0114393 | + | 0.0106922i | ||||
\(400\) | 2.33508e19 | + | 8.27677e19i | 0.712611 | + | 2.52587i | ||||
\(401\) | 2.99456e19i | 0.896912i | 0.893805 | + | 0.448456i | \(0.148026\pi\) | ||||
−0.893805 | + | 0.448456i | \(0.851974\pi\) | |||||||
\(402\) | 1.70882e19 | − | 4.57172e19i | 0.502343 | − | 1.34395i | ||||
\(403\) | 2.97026e18i | 0.0857050i | ||||||||
\(404\) | −1.34838e19 | − | 1.02060e19i | −0.381902 | − | 0.289065i | ||||
\(405\) | −9.21504e18 | + | 6.78525e19i | −0.256203 | + | 1.88649i | ||||
\(406\) | −5.32066e18 | − | 1.07002e19i | −0.145218 | − | 0.292043i | ||||
\(407\) | −2.13889e19 | −0.573101 | ||||||||
\(408\) | −1.18993e19 | − | 1.87628e19i | −0.313019 | − | 0.493566i | ||||
\(409\) | −7.20143e19 | −1.85992 | −0.929960 | − | 0.367662i | \(-0.880158\pi\) | ||||
−0.929960 | + | 0.367662i | \(0.880158\pi\) | |||||||
\(410\) | 4.02045e19 | + | 8.08540e19i | 1.01952 | + | 2.05033i | ||||
\(411\) | 1.49275e18 | + | 1.59705e18i | 0.0371683 | + | 0.0397655i | ||||
\(412\) | 7.86433e18 | + | 5.95260e18i | 0.192279 | + | 0.145538i | ||||
\(413\) | − | 4.63795e19i | − | 1.11353i | ||||||
\(414\) | 6.92409e18 | − | 2.87822e18i | 0.163253 | − | 0.0678611i | ||||
\(415\) | − | 4.29476e19i | − | 0.994440i | ||||||
\(416\) | −8.60280e18 | + | 7.79886e18i | −0.195632 | + | 0.177350i | ||||
\(417\) | 2.17085e19 | + | 2.32255e19i | 0.484853 | + | 0.518733i | ||||
\(418\) | −7.30935e17 | + | 3.63456e17i | −0.0160345 | + | 0.00797314i | ||||
\(419\) | −3.80628e17 | −0.00820153 | −0.00410077 | − | 0.999992i | \(-0.501305\pi\) | ||||
−0.00410077 | + | 0.999992i | \(0.501305\pi\) | |||||||
\(420\) | 9.12631e18 | + | 8.76545e19i | 0.193164 | + | 1.85526i | ||||
\(421\) | 4.05803e19 | 0.843723 | 0.421861 | − | 0.906660i | \(-0.361377\pi\) | ||||
0.421861 | + | 0.906660i | \(0.361377\pi\) | |||||||
\(422\) | −1.56625e19 | + | 7.78812e18i | −0.319902 | + | 0.159070i | ||||
\(423\) | −4.31017e18 | + | 6.37650e19i | −0.0864852 | + | 1.27947i | ||||
\(424\) | −3.99642e18 | + | 2.11835e19i | −0.0787821 | + | 0.417594i | ||||
\(425\) | − | 7.91972e19i | − | 1.53389i | ||||||
\(426\) | −2.69092e19 | − | 1.00581e19i | −0.512070 | − | 0.191401i | ||||
\(427\) | 6.97071e18i | 0.130337i | ||||||||
\(428\) | 6.24760e19 | − | 8.25408e19i | 1.14785 | − | 1.51649i | ||||
\(429\) | 1.19728e19 | − | 1.11908e19i | 0.216155 | − | 0.202037i | ||||
\(430\) | −7.21403e19 | − | 1.45079e20i | −1.27987 | − | 2.57390i | ||||
\(431\) | −7.50201e19 | −1.30797 | −0.653985 | − | 0.756507i | \(-0.726904\pi\) | ||||
−0.653985 | + | 0.756507i | \(0.726904\pi\) | |||||||
\(432\) | 3.35128e19 | − | 4.77806e19i | 0.574226 | − | 0.818697i | ||||
\(433\) | −2.37173e19 | −0.399398 | −0.199699 | − | 0.979857i | \(-0.563996\pi\) | ||||
−0.199699 | + | 0.979857i | \(0.563996\pi\) | |||||||
\(434\) | −8.55468e18 | − | 1.72041e19i | −0.141589 | − | 0.284746i | ||||
\(435\) | −2.84610e19 | + | 2.66021e19i | −0.462999 | + | 0.432760i | ||||
\(436\) | 2.96026e19 | − | 3.91098e19i | 0.473349 | − | 0.625370i | ||||
\(437\) | − | 1.79763e17i | − | 0.00282546i | ||||||
\(438\) | 7.14286e19 | + | 2.66986e19i | 1.10361 | + | 0.412508i | ||||
\(439\) | 2.67499e19i | 0.406292i | 0.979148 | + | 0.203146i | \(0.0651166\pi\) | ||||
−0.979148 | + | 0.203146i | \(0.934883\pi\) | |||||||
\(440\) | −2.64856e19 | + | 1.40390e20i | −0.395472 | + | 2.09625i | ||||
\(441\) | 1.84011e17 | − | 2.72227e18i | 0.00270119 | − | 0.0399615i | ||||
\(442\) | 9.57492e18 | − | 4.76111e18i | 0.138187 | − | 0.0687134i | ||||
\(443\) | 7.12928e19 | 1.01162 | 0.505810 | − | 0.862645i | \(-0.331194\pi\) | ||||
0.505810 | + | 0.862645i | \(0.331194\pi\) | |||||||
\(444\) | −3.79637e18 | − | 3.64626e19i | −0.0529659 | − | 0.508716i | ||||
\(445\) | 5.32418e19 | 0.730386 | ||||||||
\(446\) | −8.13131e19 | + | 4.04328e19i | −1.09685 | + | 0.545409i | ||||
\(447\) | −4.70580e19 | − | 5.03463e19i | −0.624205 | − | 0.667822i | ||||
\(448\) | 2.73668e19 | − | 6.99490e19i | 0.356975 | − | 0.912423i | ||||
\(449\) | 1.27554e19i | 0.163623i | 0.996648 | + | 0.0818117i | \(0.0260706\pi\) | ||||
−0.996648 | + | 0.0818117i | \(0.973929\pi\) | |||||||
\(450\) | 1.92099e20 | − | 7.98520e19i | 2.42343 | − | 1.00738i | ||||
\(451\) | 1.08622e20i | 1.34770i | ||||||||
\(452\) | 5.87407e19 | + | 4.44614e19i | 0.716805 | + | 0.542557i | ||||
\(453\) | −2.52141e19 | − | 2.69759e19i | −0.302626 | − | 0.323772i | ||||
\(454\) | 3.64844e18 | + | 7.33727e18i | 0.0430714 | + | 0.0866195i | ||||
\(455\) | −4.24156e19 | −0.492538 | ||||||||
\(456\) | −7.49333e17 | − | 1.18154e18i | −0.00855931 | − | 0.0134963i | ||||
\(457\) | 2.66760e19 | 0.299743 | 0.149871 | − | 0.988705i | \(-0.452114\pi\) | ||||
0.149871 | + | 0.988705i | \(0.452114\pi\) | |||||||
\(458\) | −6.98985e19 | − | 1.40571e20i | −0.772639 | − | 1.55383i | ||||
\(459\) | −4.16505e19 | + | 3.39687e19i | −0.452924 | + | 0.369389i | ||||
\(460\) | −2.50856e19 | − | 1.89875e19i | −0.268374 | − | 0.203135i | ||||
\(461\) | − | 1.34446e18i | − | 0.0141511i | −0.999975 | − | 0.00707554i | \(-0.997748\pi\) | ||
0.999975 | − | 0.00707554i | \(-0.00225223\pi\) | |||||||
\(462\) | −3.71169e19 | + | 9.93015e19i | −0.384376 | + | 1.02835i | ||||
\(463\) | − | 1.41938e20i | − | 1.44624i | −0.690722 | − | 0.723121i | \(-0.742707\pi\) | ||
0.690722 | − | 0.723121i | \(-0.257293\pi\) | |||||||
\(464\) | 3.19563e19 | − | 9.01566e18i | 0.320384 | − | 0.0903884i | ||||
\(465\) | −4.57602e19 | + | 4.27715e19i | −0.451430 | + | 0.421946i | ||||
\(466\) | −1.56647e20 | + | 7.78926e19i | −1.52065 | + | 0.756139i | ||||
\(467\) | −6.40618e19 | −0.611959 | −0.305980 | − | 0.952038i | \(-0.598984\pi\) | ||||
−0.305980 | + | 0.952038i | \(0.598984\pi\) | |||||||
\(468\) | 2.12025e19 | + | 1.84242e19i | 0.199317 | + | 0.173199i | ||||
\(469\) | −1.51950e20 | −1.40574 | ||||||||
\(470\) | 2.40103e20 | − | 1.19391e20i | 2.18607 | − | 1.08702i | ||||
\(471\) | −1.59042e19 | + | 1.48654e19i | −0.142513 | + | 0.133205i | ||||
\(472\) | 1.26633e20 | + | 2.38902e19i | 1.11682 | + | 0.210696i | ||||
\(473\) | − | 1.94904e20i | − | 1.69185i | ||||||
\(474\) | −4.77523e19 | + | 1.27755e20i | −0.407997 | + | 1.09154i | ||||
\(475\) | − | 4.98727e18i | − | 0.0419431i | ||||||
\(476\) | −4.17465e19 | + | 5.51538e19i | −0.345595 | + | 0.456586i | ||||
\(477\) | 5.20291e19 | + | 3.51689e18i | 0.423993 | + | 0.0286596i | ||||
\(478\) | 2.97497e19 | + | 5.98286e19i | 0.238656 | + | 0.479954i | ||||
\(479\) | 2.46473e20 | 1.94649 | 0.973245 | − | 0.229770i | \(-0.0737973\pi\) | ||||
0.973245 | + | 0.229770i | \(0.0737973\pi\) | |||||||
\(480\) | −2.44030e20 | − | 2.02329e19i | −1.89729 | − | 0.157307i | ||||
\(481\) | 1.76441e19 | 0.135055 | ||||||||
\(482\) | 7.08223e19 | + | 1.42428e20i | 0.533724 | + | 1.07336i | ||||
\(483\) | −1.59412e19 | − | 1.70551e19i | −0.118282 | − | 0.126547i | ||||
\(484\) | −2.11098e19 | + | 2.78894e19i | −0.154221 | + | 0.203751i | ||||
\(485\) | 3.43211e20i | 2.46887i | ||||||||
\(486\) | −1.24389e20 | − | 6.67769e19i | −0.881066 | − | 0.472993i | ||||
\(487\) | − | 8.61209e19i | − | 0.600677i | −0.953833 | − | 0.300339i | \(-0.902900\pi\) | ||
0.953833 | − | 0.300339i | \(-0.0970997\pi\) | |||||||
\(488\) | −1.90326e19 | − | 3.59064e18i | −0.130722 | − | 0.0246617i | ||||
\(489\) | 7.93056e18 | + | 8.48472e18i | 0.0536398 | + | 0.0573880i | ||||
\(490\) | −1.02505e19 | + | 5.09707e18i | −0.0682773 | + | 0.0339508i | ||||
\(491\) | −6.12023e18 | −0.0401473 | −0.0200737 | − | 0.999799i | \(-0.506390\pi\) | ||||
−0.0200737 | + | 0.999799i | \(0.506390\pi\) | |||||||
\(492\) | −1.85172e20 | + | 1.92795e19i | −1.19629 | + | 0.124554i | ||||
\(493\) | −3.05777e19 | −0.194560 | ||||||||
\(494\) | 6.02959e17 | − | 2.99820e17i | 0.00377864 | − | 0.00187892i | ||||
\(495\) | 3.44815e20 | + | 2.33076e19i | 2.12837 | + | 0.143866i | ||||
\(496\) | 5.13800e19 | − | 1.44956e19i | 0.312379 | − | 0.0881299i | ||||
\(497\) | 8.94383e19i | 0.535612i | ||||||||
\(498\) | 8.29429e19 | + | 3.10024e19i | 0.489282 | + | 0.182884i | ||||
\(499\) | 2.61288e20i | 1.51832i | 0.650901 | + | 0.759162i | \(0.274391\pi\) | ||||
−0.650901 | + | 0.759162i | \(0.725609\pi\) | |||||||
\(500\) | −4.30780e20 | − | 3.26062e20i | −2.46593 | − | 1.86649i | ||||
\(501\) | 1.67104e20 | − | 1.56190e20i | 0.942333 | − | 0.880786i | ||||
\(502\) | 6.35578e19 | + | 1.27819e20i | 0.353095 | + | 0.710098i | ||||
\(503\) | −1.88131e20 | −1.02968 | −0.514839 | − | 0.857287i | \(-0.672148\pi\) | ||||
−0.514839 | + | 0.857287i | \(0.672148\pi\) | |||||||
\(504\) | −1.75871e20 | − | 4.56494e19i | −0.948344 | − | 0.246154i | ||||
\(505\) | 1.71637e20 | 0.911856 | ||||||||
\(506\) | −1.68504e19 | − | 3.38872e19i | −0.0882023 | − | 0.177381i | ||||
\(507\) | 1.31773e20 | − | 1.23167e20i | 0.679623 | − | 0.635235i | ||||
\(508\) | 9.71696e19 | + | 7.35486e19i | 0.493802 | + | 0.373763i | ||||
\(509\) | 2.95767e20i | 1.48104i | 0.672035 | + | 0.740520i | \(0.265421\pi\) | ||||
−0.672035 | + | 0.740520i | \(0.734579\pi\) | |||||||
\(510\) | 2.11229e20 | + | 7.89530e19i | 1.04226 | + | 0.389576i | ||||
\(511\) | − | 2.37408e20i | − | 1.15435i | ||||||
\(512\) | 1.76890e20 | + | 1.10752e20i | 0.847576 | + | 0.530675i | ||||
\(513\) | −2.62285e18 | + | 2.13911e18i | −0.0123849 | + | 0.0101007i | ||||
\(514\) | −2.67901e20 | + | 1.33213e20i | −1.24667 | + | 0.619904i | ||||
\(515\) | −1.00106e20 | −0.459100 | ||||||||
\(516\) | 3.32260e20 | − | 3.45939e19i | 1.50178 | − | 0.156360i | ||||
\(517\) | 3.22562e20 | 1.43693 | ||||||||
\(518\) | −1.02196e20 | + | 5.08170e19i | −0.448707 | + | 0.223118i | ||||
\(519\) | −1.43353e20 | − | 1.53370e20i | −0.620370 | − | 0.663719i | ||||
\(520\) | 2.18484e19 | − | 1.15810e20i | 0.0931955 | − | 0.493994i | ||||
\(521\) | − | 2.63757e20i | − | 1.10897i | −0.832193 | − | 0.554486i | \(-0.812915\pi\) | ||
0.832193 | − | 0.554486i | \(-0.187085\pi\) | |||||||
\(522\) | −3.08305e19 | − | 7.41685e19i | −0.127777 | − | 0.307391i | ||||
\(523\) | − | 3.90384e20i | − | 1.59489i | −0.603395 | − | 0.797443i | \(-0.706186\pi\) | ||
0.603395 | − | 0.797443i | \(-0.293814\pi\) | |||||||
\(524\) | 9.44709e19 | − | 1.24811e20i | 0.380464 | − | 0.502654i | ||||
\(525\) | −4.42265e20 | − | 4.73169e20i | −1.75585 | − | 1.87855i | ||||
\(526\) | 1.48650e20 | + | 2.98946e20i | 0.581798 | + | 1.17004i | ||||
\(527\) | −4.91635e19 | −0.189698 | ||||||||
\(528\) | −2.52011e20 | − | 1.52493e20i | −0.958660 | − | 0.580092i | ||||
\(529\) | −2.58301e20 | −0.968743 | ||||||||
\(530\) | −9.74171e19 | − | 1.95912e20i | −0.360218 | − | 0.724424i | ||||
\(531\) | 2.10236e19 | − | 3.11025e20i | 0.0766476 | − | 1.13393i | ||||
\(532\) | −2.62889e18 | + | 3.47319e18i | −0.00945008 | + | 0.0124851i | ||||
\(533\) | − | 8.96038e19i | − | 0.317594i | ||||||
\(534\) | −3.84333e19 | + | 1.02823e20i | −0.134322 | + | 0.359363i | ||||
\(535\) | 1.05067e21i | 3.62089i | ||||||||
\(536\) | 7.82703e19 | − | 4.14881e20i | 0.265987 | − | 1.40990i | ||||
\(537\) | −9.05537e19 | + | 8.46394e19i | −0.303458 | + | 0.283639i | ||||
\(538\) | 3.38266e20 | − | 1.68202e20i | 1.11787 | − | 0.555859i | ||||
\(539\) | −1.37709e19 | −0.0448794 | ||||||||
\(540\) | 2.14685e19 | + | 5.91957e20i | 0.0690000 | + | 1.90255i | ||||
\(541\) | 2.16728e19 | 0.0686968 | 0.0343484 | − | 0.999410i | \(-0.489064\pi\) | ||||
0.0343484 | + | 0.999410i | \(0.489064\pi\) | |||||||
\(542\) | 2.62048e20 | − | 1.30303e20i | 0.819194 | − | 0.407343i | ||||
\(543\) | −2.32155e20 | + | 2.16993e20i | −0.715781 | + | 0.669031i | ||||
\(544\) | −1.29087e20 | − | 1.42393e20i | −0.392545 | − | 0.433010i | ||||
\(545\) | 4.97835e20i | 1.49318i | ||||||||
\(546\) | 3.06183e19 | − | 8.19153e19i | 0.0905808 | − | 0.242337i | ||||
\(547\) | − | 2.18502e20i | − | 0.637604i | −0.947821 | − | 0.318802i | \(-0.896719\pi\) | ||
0.947821 | − | 0.318802i | \(-0.103281\pi\) | |||||||
\(548\) | 1.50782e19 | + | 1.14129e19i | 0.0434007 | + | 0.0328504i | ||||
\(549\) | −3.15980e18 | + | 4.67463e19i | −0.00897153 | + | 0.132726i | ||||
\(550\) | −4.67489e20 | − | 9.40152e20i | −1.30934 | − | 2.63316i | ||||
\(551\) | −1.92556e18 | −0.00532011 | ||||||||
\(552\) | 5.47781e19 | − | 3.47402e19i | 0.149301 | − | 0.0946868i | ||||
\(553\) | 4.24620e20 | 1.14173 | ||||||||
\(554\) | 2.54701e20 | + | 5.12221e20i | 0.675627 | + | 1.35873i | ||||
\(555\) | 2.54073e20 | + | 2.71827e20i | 0.664908 | + | 0.711370i | ||||
\(556\) | 2.19278e20 | + | 1.65974e20i | 0.566154 | + | 0.428528i | ||||
\(557\) | − | 2.73010e20i | − | 0.695448i | −0.937597 | − | 0.347724i | \(-0.886955\pi\) | ||
0.937597 | − | 0.347724i | \(-0.113045\pi\) | |||||||
\(558\) | −4.95700e19 | − | 1.19250e20i | −0.124584 | − | 0.299710i | ||||
\(559\) | 1.60779e20i | 0.398695i | ||||||||
\(560\) | 2.06999e20 | + | 7.33712e20i | 0.506474 | + | 1.79521i | ||||
\(561\) | 1.85230e20 | + | 1.98173e20i | 0.447187 | + | 0.478435i | ||||
\(562\) | −8.68279e19 | + | 4.31750e19i | −0.206841 | + | 0.102851i | ||||
\(563\) | −4.23158e20 | −0.994695 | −0.497348 | − | 0.867551i | \(-0.665693\pi\) | ||||
−0.497348 | + | 0.867551i | \(0.665693\pi\) | |||||||
\(564\) | 5.72523e19 | + | 5.49885e20i | 0.132800 | + | 1.27549i | ||||
\(565\) | −7.47719e20 | −1.71149 | ||||||||
\(566\) | 3.94466e20 | − | 1.96147e20i | 0.891018 | − | 0.443057i | ||||
\(567\) | −5.91506e19 | + | 4.35540e20i | −0.131852 | + | 0.970857i | ||||
\(568\) | −2.44200e20 | − | 4.60700e19i | −0.537196 | − | 0.101346i | ||||
\(569\) | 1.62716e20i | 0.353254i | 0.984278 | + | 0.176627i | \(0.0565187\pi\) | ||||
−0.984278 | + | 0.176627i | \(0.943481\pi\) | |||||||
\(570\) | 1.33017e19 | + | 4.97189e18i | 0.0285000 | + | 0.0106527i | ||||
\(571\) | − | 2.41399e20i | − | 0.510463i | −0.966880 | − | 0.255231i | \(-0.917848\pi\) | ||
0.966880 | − | 0.255231i | \(-0.0821517\pi\) | |||||||
\(572\) | 8.55600e19 | − | 1.13039e20i | 0.178567 | − | 0.235915i | ||||
\(573\) | 4.70943e20 | − | 4.40184e20i | 0.970083 | − | 0.906724i | ||||
\(574\) | 2.58069e20 | + | 5.18995e20i | 0.524684 | + | 1.05517i | ||||
\(575\) | 2.31217e20 | 0.463993 | ||||||||
\(576\) | 2.15232e20 | − | 4.56679e20i | 0.426322 | − | 0.904571i | ||||
\(577\) | −4.25822e20 | −0.832549 | −0.416275 | − | 0.909239i | \(-0.636664\pi\) | ||||
−0.416275 | + | 0.909239i | \(0.636664\pi\) | |||||||
\(578\) | −1.51898e20 | − | 3.05477e20i | −0.293152 | − | 0.589549i | ||||
\(579\) | −2.32677e20 | + | 2.17480e20i | −0.443266 | + | 0.414315i | ||||
\(580\) | −2.03388e20 | + | 2.68708e20i | −0.382486 | + | 0.505325i | ||||
\(581\) | − | 2.75677e20i | − | 0.511776i | ||||||
\(582\) | −6.62828e20 | − | 2.47752e20i | −1.21473 | − | 0.454040i | ||||
\(583\) | − | 2.63195e20i | − | 0.476171i | ||||||
\(584\) | 6.48211e20 | + | 1.22289e20i | 1.15776 | + | 0.218420i | ||||
\(585\) | −2.84443e20 | − | 1.92268e19i | −0.501564 | − | 0.0339030i | ||||
\(586\) | 5.99564e20 | − | 2.98132e20i | 1.04377 | − | 0.519011i | ||||
\(587\) | −1.12071e20 | −0.192622 | −0.0963110 | − | 0.995351i | \(-0.530704\pi\) | ||||
−0.0963110 | + | 0.995351i | \(0.530704\pi\) | |||||||
\(588\) | −2.44423e18 | − | 2.34758e19i | −0.00414775 | − | 0.0398374i | ||||
\(589\) | −3.09597e18 | −0.00518718 | ||||||||
\(590\) | −1.17115e21 | + | 5.82350e20i | −1.93741 | + | 0.963372i | ||||
\(591\) | 1.31251e20 | + | 1.40423e20i | 0.214386 | + | 0.229367i | ||||
\(592\) | −8.61074e19 | − | 3.05210e20i | −0.138876 | − | 0.492250i | ||||
\(593\) | 6.72168e19i | 0.107045i | 0.998567 | + | 0.0535226i | \(0.0170449\pi\) | ||||
−0.998567 | + | 0.0535226i | \(0.982955\pi\) | |||||||
\(594\) | −2.93922e20 | + | 6.49100e20i | −0.462205 | + | 1.02074i | ||||
\(595\) | − | 7.02061e20i | − | 1.09018i | ||||||
\(596\) | −4.75334e20 | − | 3.59785e20i | −0.728873 | − | 0.551691i | ||||
\(597\) | 8.11889e20 | + | 8.68621e20i | 1.22939 | + | 1.31529i | ||||
\(598\) | 1.39001e19 | + | 2.79541e19i | 0.0207855 | + | 0.0418010i | ||||
\(599\) | 1.09204e21 | 1.61264 | 0.806320 | − | 0.591480i | \(-0.201456\pi\) | ||||
0.806320 | + | 0.591480i | \(0.201456\pi\) | |||||||
\(600\) | 1.51974e21 | − | 9.63817e20i | 2.21633 | − | 1.40560i | ||||
\(601\) | −8.56160e20 | −1.23310 | −0.616548 | − | 0.787318i | \(-0.711469\pi\) | ||||
−0.616548 | + | 0.787318i | \(0.711469\pi\) | |||||||
\(602\) | −4.63062e20 | − | 9.31250e20i | −0.658667 | − | 1.32462i | ||||
\(603\) | −1.01899e21 | − | 6.88786e19i | −1.43150 | − | 0.0967619i | ||||
\(604\) | −2.54688e20 | − | 1.92776e20i | −0.353371 | − | 0.267470i | ||||
\(605\) | − | 3.55009e20i | − | 0.486490i | ||||||
\(606\) | −1.23899e20 | + | 3.31476e20i | −0.167696 | + | 0.448649i | ||||
\(607\) | 3.48456e20i | 0.465836i | 0.972496 | + | 0.232918i | \(0.0748274\pi\) | ||||
−0.972496 | + | 0.232918i | \(0.925173\pi\) | |||||||
\(608\) | −8.12894e18 | − | 8.96690e18i | −0.0107339 | − | 0.0118404i | ||||
\(609\) | −1.82689e20 | + | 1.70757e20i | −0.238277 | + | 0.222714i | ||||
\(610\) | 1.76020e20 | − | 8.75257e19i | 0.226772 | − | 0.112762i | ||||
\(611\) | −2.66087e20 | −0.338621 | ||||||||
\(612\) | −3.04957e20 | + | 3.50943e20i | −0.383356 | + | 0.441165i | ||||
\(613\) | 5.58125e20 | 0.693071 | 0.346536 | − | 0.938037i | \(-0.387358\pi\) | ||||
0.346536 | + | 0.938037i | \(0.387358\pi\) | |||||||
\(614\) | −4.65362e20 | + | 2.31400e20i | −0.570858 | + | 0.283858i | ||||
\(615\) | 1.38045e21 | − | 1.29029e21i | 1.67285 | − | 1.56359i | ||||
\(616\) | −1.70009e20 | + | 9.01155e20i | −0.203525 | + | 1.07881i | ||||
\(617\) | − | 7.94207e20i | − | 0.939280i | −0.882858 | − | 0.469640i | \(-0.844384\pi\) | ||
0.882858 | − | 0.469640i | \(-0.155616\pi\) | |||||||
\(618\) | 7.22632e19 | − | 1.93331e20i | 0.0844313 | − | 0.225885i | ||||
\(619\) | − | 7.63690e20i | − | 0.881530i | −0.897623 | − | 0.440765i | \(-0.854707\pi\) | ||
0.897623 | − | 0.440765i | \(-0.145293\pi\) | |||||||
\(620\) | −3.27012e20 | + | 4.32035e20i | −0.372929 | + | 0.492699i | ||||
\(621\) | −9.91722e19 | − | 1.21599e20i | −0.111738 | − | 0.137007i | ||||
\(622\) | −2.29105e20 | − | 4.60747e20i | −0.255039 | − | 0.512902i | ||||
\(623\) | 3.41755e20 | 0.375884 | ||||||||
\(624\) | 2.07888e20 | + | 1.25794e20i | 0.225915 | + | 0.136702i | ||||
\(625\) | 3.03924e21 | 3.26336 | ||||||||
\(626\) | 1.93572e20 | + | 3.89287e20i | 0.205369 | + | 0.413012i | ||||
\(627\) | 1.16644e19 | + | 1.24795e19i | 0.0122281 | + | 0.0130825i | ||||
\(628\) | −1.13654e20 | + | 1.50156e20i | −0.117730 | + | 0.155541i | ||||
\(629\) | 2.92044e20i | 0.298929i | ||||||||
\(630\) | 1.70290e21 | − | 7.07865e20i | 1.72241 | − | 0.715973i | ||||
\(631\) | − | 6.83396e20i | − | 0.683049i | −0.939873 | − | 0.341525i | \(-0.889057\pi\) | ||
0.939873 | − | 0.341525i | \(-0.110943\pi\) | |||||||
\(632\) | −2.18724e20 | + | 1.15937e21i | −0.216032 | + | 1.14510i | ||||
\(633\) | 2.49945e20 | + | 2.67411e20i | 0.243959 | + | 0.261006i | ||||
\(634\) | −1.48815e20 | + | 7.39981e19i | −0.143542 | + | 0.0713758i | ||||
\(635\) | −1.23689e21 | −1.17904 | ||||||||
\(636\) | 4.48679e20 | − | 4.67151e19i | 0.422676 | − | 0.0440077i | ||||
\(637\) | 1.13598e19 | 0.0105761 | ||||||||
\(638\) | −3.62989e20 | + | 1.80495e20i | −0.333994 | + | 0.166078i | ||||
\(639\) | −4.05420e19 | + | 5.99782e20i | −0.0368680 | + | 0.545427i | ||||
\(640\) | −2.10993e21 | + | 1.87245e20i | −1.89635 | + | 0.168291i | ||||
\(641\) | 1.62888e20i | 0.144695i | 0.997379 | + | 0.0723477i | \(0.0230491\pi\) | ||||
−0.997379 | + | 0.0723477i | \(0.976951\pi\) | |||||||
\(642\) | −2.02912e21 | − | 7.58445e20i | −1.78154 | − | 0.665903i | ||||
\(643\) | 1.30635e21i | 1.13364i | 0.823840 | + | 0.566822i | \(0.191827\pi\) | ||||
−0.823840 | + | 0.566822i | \(0.808173\pi\) | |||||||
\(644\) | −1.61022e20 | − | 1.21879e20i | −0.138115 | − | 0.104541i | ||||
\(645\) | −2.47699e21 | + | 2.31521e21i | −2.10003 | + | 1.96287i | ||||
\(646\) | 4.96262e18 | + | 9.98016e18i | 0.00415879 | + | 0.00836361i | ||||
\(647\) | 1.40255e21 | 1.16182 | 0.580908 | − | 0.813970i | \(-0.302698\pi\) | ||||
0.580908 | + | 0.813970i | \(0.302698\pi\) | |||||||
\(648\) | −1.15872e21 | − | 3.85851e20i | −0.948779 | − | 0.315942i | ||||
\(649\) | −1.57335e21 | −1.27348 | ||||||||
\(650\) | 3.85639e20 | + | 7.75546e20i | 0.308554 | + | 0.620522i | ||||
\(651\) | −2.93731e20 | + | 2.74547e20i | −0.232323 | + | 0.217149i | ||||
\(652\) | 8.01067e19 | + | 6.06336e19i | 0.0626343 | + | 0.0474085i | ||||
\(653\) | − | 8.06788e20i | − | 0.623606i | −0.950147 | − | 0.311803i | \(-0.899067\pi\) | ||
0.950147 | − | 0.311803i | \(-0.100933\pi\) | |||||||
\(654\) | −9.61446e20 | − | 3.59369e20i | −0.734669 | − | 0.274605i | ||||
\(655\) | 1.58874e21i | 1.20017i | ||||||||
\(656\) | −1.54998e21 | + | 4.37289e20i | −1.15757 | + | 0.326580i | ||||
\(657\) | 1.07616e20 | − | 1.59208e21i | 0.0794578 | − | 1.17550i | ||||
\(658\) | 1.54120e21 | − | 7.66360e20i | 1.12503 | − | 0.559421i | ||||
\(659\) | 1.61103e21 | 1.16268 | 0.581342 | − | 0.813659i | \(-0.302528\pi\) | ||||
0.581342 | + | 0.813659i | \(0.302528\pi\) | |||||||
\(660\) | 2.97355e21 | − | 3.09597e20i | 2.12176 | − | 0.220911i | ||||
\(661\) | −1.02959e21 | −0.726360 | −0.363180 | − | 0.931719i | \(-0.618309\pi\) | ||||
−0.363180 | + | 0.931719i | \(0.618309\pi\) | |||||||
\(662\) | 2.17430e21 | − | 1.08117e21i | 1.51665 | − | 0.754151i | ||||
\(663\) | −1.52799e20 | − | 1.63476e20i | −0.105383 | − | 0.112746i | ||||
\(664\) | 7.52702e20 | + | 1.42002e20i | 0.513289 | + | 0.0968357i | ||||
\(665\) | − | 4.42107e19i | − | 0.0298102i | ||||||
\(666\) | −7.08374e20 | + | 2.94458e20i | −0.472287 | + | 0.196321i | ||||
\(667\) | − | 8.92720e19i | − | 0.0588534i | ||||||
\(668\) | 1.19416e21 | − | 1.57768e21i | 0.778466 | − | 1.02848i | ||||
\(669\) | 1.29761e21 | + | 1.38829e21i | 0.836469 | + | 0.894919i | ||||
\(670\) | 1.90792e21 | + | 3.83696e21i | 1.21618 | + | 2.44583i | ||||
\(671\) | 2.36471e20 | 0.149059 | ||||||||
\(672\) | −1.56641e21 | − | 1.29873e20i | −0.976419 | − | 0.0809564i | ||||
\(673\) | −9.10146e20 | −0.561046 | −0.280523 | − | 0.959847i | \(-0.590508\pi\) | ||||
−0.280523 | + | 0.959847i | \(0.590508\pi\) | |||||||
\(674\) | 1.16167e21 | + | 2.33619e21i | 0.708161 | + | 1.42416i | ||||
\(675\) | −2.75139e21 | − | 3.37360e21i | −1.65872 | − | 2.03383i | ||||
\(676\) | 9.41681e20 | − | 1.24411e21i | 0.561440 | − | 0.741752i | ||||
\(677\) | − | 2.21185e21i | − | 1.30419i | −0.758136 | − | 0.652096i | \(-0.773890\pi\) | ||
0.758136 | − | 0.652096i | \(-0.226110\pi\) | |||||||
\(678\) | 5.39752e20 | − | 1.44404e21i | 0.314754 | − | 0.842085i | ||||
\(679\) | 2.20304e21i | 1.27057i | ||||||||
\(680\) | 1.91689e21 | + | 3.61634e20i | 1.09340 | + | 0.206278i | ||||
\(681\) | 1.25272e20 | − | 1.17090e20i | 0.0706725 | − | 0.0660566i | ||||
\(682\) | −5.83622e20 | + | 2.90205e20i | −0.325648 | + | 0.161928i | ||||
\(683\) | −1.46098e21 | −0.806284 | −0.403142 | − | 0.915137i | \(-0.632082\pi\) | ||||
−0.403142 | + | 0.915137i | \(0.632082\pi\) | |||||||
\(684\) | −1.92040e19 | + | 2.20999e19i | −0.0104826 | + | 0.0120634i | ||||
\(685\) | −1.91933e20 | −0.103627 | ||||||||
\(686\) | −1.70857e21 | + | 8.49582e20i | −0.912434 | + | 0.453706i | ||||
\(687\) | −2.40001e21 | + | 2.24326e21i | −1.26776 | + | 1.18496i | ||||
\(688\) | 2.78118e21 | − | 7.84642e20i | 1.45317 | − | 0.409976i | ||||
\(689\) | 2.17113e20i | 0.112213i | ||||||||
\(690\) | −2.30504e20 | + | 6.16685e20i | −0.117845 | + | 0.315279i | ||||
\(691\) | − | 2.20684e21i | − | 1.11606i | −0.829822 | − | 0.558028i | \(-0.811558\pi\) | ||
0.829822 | − | 0.558028i | \(-0.188442\pi\) | |||||||
\(692\) | −1.44801e21 | − | 1.09601e21i | −0.724395 | − | 0.548302i | ||||
\(693\) | 2.21334e21 | + | 1.49610e20i | 1.09534 | + | 0.0740390i | ||||
\(694\) | −4.71961e19 | − | 9.49146e19i | −0.0231052 | − | 0.0464662i | ||||
\(695\) | −2.79123e21 | −1.35179 | ||||||||
\(696\) | −3.72126e20 | − | 5.86765e20i | −0.178287 | − | 0.281122i | ||||
\(697\) | 1.48312e21 | 0.702959 | ||||||||
\(698\) | 1.77392e20 | + | 3.56748e20i | 0.0831800 | + | 0.167281i | ||||
\(699\) | 2.49982e21 | + | 2.67450e21i | 1.15966 | + | 1.24069i | ||||
\(700\) | −4.46733e21 | − | 3.38137e21i | −2.05028 | − | 1.55188i | ||||
\(701\) | 2.09798e21i | 0.952614i | 0.879279 | + | 0.476307i | \(0.158025\pi\) | ||||
−0.879279 | + | 0.476307i | \(0.841975\pi\) | |||||||
\(702\) | 2.42461e20 | − | 5.35453e20i | 0.108922 | − | 0.240543i | ||||
\(703\) | 1.83908e19i | 0.00817403i | ||||||||
\(704\) | −2.37291e21 | − | 9.28376e20i | −1.04349 | − | 0.408253i | ||||
\(705\) | −3.83163e21 | − | 4.09937e21i | −1.66711 | − | 1.78361i | ||||
\(706\) | 3.32708e21 | − | 1.65438e21i | 1.43228 | − | 0.712199i | ||||
\(707\) | 1.10173e21 | 0.469276 | ||||||||
\(708\) | −2.79258e20 | − | 2.68216e21i | −0.117695 | − | 1.13041i | ||||
\(709\) | 2.58297e21 | 1.07714 | 0.538570 | − | 0.842581i | \(-0.318965\pi\) | ||||
0.538570 | + | 0.842581i | \(0.318965\pi\) | |||||||
\(710\) | 2.25844e21 | − | 1.12301e21i | 0.931904 | − | 0.463387i | ||||
\(711\) | 2.84755e21 | + | 1.92479e20i | 1.16265 | + | 0.0785888i | ||||
\(712\) | −1.76039e20 | + | 9.33117e20i | −0.0711228 | + | 0.376995i | ||||
\(713\) | − | 1.43534e20i | − | 0.0573828i | ||||||
\(714\) | 1.35586e21 | + | 5.06793e20i | 0.536387 | + | 0.200491i | ||||
\(715\) | 1.43888e21i | 0.563288i | ||||||||
\(716\) | −6.47116e20 | + | 8.54944e20i | −0.250689 | + | 0.331200i | ||||
\(717\) | 1.02148e21 | − | 9.54760e20i | 0.391592 | − | 0.366016i | ||||
\(718\) | −9.75798e20 | − | 1.96240e21i | −0.370192 | − | 0.744481i | ||||
\(719\) | −1.59796e21 | −0.599930 | −0.299965 | − | 0.953950i | \(-0.596975\pi\) | ||||
−0.299965 | + | 0.953950i | \(0.596975\pi\) | |||||||
\(720\) | 1.05556e21 | + | 5.01418e21i | 0.392185 | + | 1.86297i | ||||
\(721\) | −6.42574e20 | −0.236270 | ||||||||
\(722\) | −1.22324e21 | − | 2.46003e21i | −0.445127 | − | 0.895182i | ||||
\(723\) | 2.43173e21 | − | 2.27291e21i | 0.875747 | − | 0.818550i | ||||
\(724\) | −1.65903e21 | + | 2.19185e21i | −0.591310 | + | 0.781215i | ||||
\(725\) | − | 2.47672e21i | − | 0.873660i | ||||||
\(726\) | 6.85613e20 | + | 2.56268e20i | 0.239361 | + | 0.0894685i | ||||
\(727\) | − | 1.15585e21i | − | 0.399387i | −0.979858 | − | 0.199693i | \(-0.936005\pi\) | ||
0.979858 | − | 0.199693i | \(-0.0639946\pi\) | |||||||
\(728\) | 1.40243e20 | − | 7.43377e20i | 0.0479619 | − | 0.254228i | ||||
\(729\) | −5.94098e20 | + | 2.89396e21i | −0.201095 | + | 0.979572i | ||||
\(730\) | −5.99487e21 | + | 2.98094e21i | −2.00844 | + | 0.998692i | ||||
\(731\) | −2.66121e21 | −0.882467 | ||||||||
\(732\) | 4.19718e19 | + | 4.03122e20i | 0.0137760 | + | 0.132313i | ||||
\(733\) | −4.08602e21 | −1.32746 | −0.663729 | − | 0.747974i | \(-0.731027\pi\) | ||||
−0.663729 | + | 0.747974i | \(0.731027\pi\) | |||||||
\(734\) | 1.04347e21 | − | 5.18865e20i | 0.335553 | − | 0.166853i | ||||
\(735\) | 1.63581e20 | + | 1.75011e20i | 0.0520688 | + | 0.0557072i | ||||
\(736\) | 4.15719e20 | − | 3.76870e20i | 0.130983 | − | 0.118743i | ||||
\(737\) | 5.15469e21i | 1.60767i | ||||||||
\(738\) | 1.49538e21 | + | 3.59742e21i | 0.461667 | + | 1.11063i | ||||
\(739\) | − | 2.04155e21i | − | 0.623916i | −0.950096 | − | 0.311958i | \(-0.899015\pi\) | ||
0.950096 | − | 0.311958i | \(-0.100985\pi\) | |||||||
\(740\) | 2.56640e21 | + | 1.94253e21i | 0.776401 | + | 0.587666i | ||||
\(741\) | −9.62218e18 | − | 1.02945e19i | −0.00288162 | − | 0.00308298i | ||||
\(742\) | −6.25312e20 | − | 1.25755e21i | −0.185382 | − | 0.372816i | ||||
\(743\) | 3.65827e21 | 1.07364 | 0.536822 | − | 0.843696i | \(-0.319625\pi\) | ||||
0.536822 | + | 0.843696i | \(0.319625\pi\) | |||||||
\(744\) | −5.98312e20 | − | 9.43415e20i | −0.173833 | − | 0.274098i | ||||
\(745\) | 6.05060e21 | 1.74031 | ||||||||
\(746\) | −1.58571e21 | − | 3.18898e21i | −0.451527 | − | 0.908051i | ||||
\(747\) | 1.24964e20 | − | 1.84872e21i | 0.0352273 | − | 0.521155i | ||||
\(748\) | 1.87101e21 | + | 1.41619e21i | 0.522172 | + | 0.395238i | ||||
\(749\) | 6.74420e21i | 1.86344i | ||||||||
\(750\) | −3.95832e21 | + | 1.05900e22i | −1.08281 | + | 2.89691i | ||||
\(751\) | − | 4.71333e21i | − | 1.27652i | −0.769820 | − | 0.638261i | \(-0.779654\pi\) | ||
0.769820 | − | 0.638261i | \(-0.220346\pi\) | |||||||
\(752\) | 1.29857e21 | + | 4.60281e21i | 0.348202 | + | 1.23421i | ||||
\(753\) | 2.18230e21 | − | 2.03977e21i | 0.579366 | − | 0.541526i | ||||
\(754\) | 2.99435e20 | − | 1.48894e20i | 0.0787078 | − | 0.0391373i | ||||
\(755\) | 3.24196e21 | 0.843733 | ||||||||
\(756\) | 1.37805e20 | + | 3.79972e21i | 0.0355100 | + | 0.979125i | ||||
\(757\) | −5.48524e21 | −1.39951 | −0.699756 | − | 0.714382i | \(-0.746708\pi\) | ||||
−0.699756 | + | 0.714382i | \(0.746708\pi\) | |||||||
\(758\) | −1.36106e21 | + | 6.76782e20i | −0.343840 | + | 0.170974i | ||||
\(759\) | −5.78569e20 | + | 5.40781e20i | −0.144724 | + | 0.135272i | ||||
\(760\) | 1.20712e20 | + | 2.27731e19i | 0.0298984 | + | 0.00564054i | ||||
\(761\) | 2.76565e21i | 0.678286i | 0.940735 | + | 0.339143i | \(0.110137\pi\) | ||||
−0.940735 | + | 0.339143i | \(0.889863\pi\) | |||||||
\(762\) | 8.92864e20 | − | 2.38874e21i | 0.216832 | − | 0.580106i | ||||
\(763\) | 3.19556e21i | 0.768445i | ||||||||
\(764\) | 3.36546e21 | − | 4.44631e21i | 0.801390 | − | 1.05876i | ||||
\(765\) | 3.18242e20 | − | 4.70809e21i | 0.0750406 | − | 1.11016i | ||||
\(766\) | 6.43425e20 | + | 1.29397e21i | 0.150239 | + | 0.302141i | ||||
\(767\) | 1.29788e21 | 0.300103 | ||||||||
\(768\) | 1.16147e21 | − | 4.20998e21i | 0.265949 | − | 0.963987i | ||||
\(769\) | −3.02478e21 | −0.685877 | −0.342939 | − | 0.939358i | \(-0.611422\pi\) | ||||
−0.342939 | + | 0.939358i | \(0.611422\pi\) | |||||||
\(770\) | −4.14416e21 | − | 8.33418e21i | −0.930584 | − | 1.87147i | ||||
\(771\) | 4.27524e21 | + | 4.57397e21i | 0.950719 | + | 1.01715i | ||||
\(772\) | −1.66276e21 | + | 2.19677e21i | −0.366184 | + | 0.483788i | ||||
\(773\) | − | 4.25049e21i | − | 0.927028i | −0.886090 | − | 0.463514i | \(-0.846588\pi\) | ||
0.886090 | − | 0.463514i | \(-0.153412\pi\) | |||||||
\(774\) | −2.68321e21 | − | 6.45496e21i | −0.579559 | − | 1.39424i | ||||
\(775\) | − | 3.98213e21i | − | 0.851830i | ||||||
\(776\) | −6.01513e21 | − | 1.13480e21i | −1.27433 | − | 0.240411i | ||||
\(777\) | 1.63088e21 | + | 1.74484e21i | 0.342187 | + | 0.366098i | ||||
\(778\) | 4.83645e20 | − | 2.40491e20i | 0.100503 | − | 0.0499750i | ||||
\(779\) | 9.33962e19 | 0.0192220 | ||||||||
\(780\) | −2.45293e21 | + | 2.55391e20i | −0.500006 | + | 0.0520590i | ||||
\(781\) | 3.03406e21 | 0.612550 | ||||||||
\(782\) | −4.62695e20 | + | 2.30074e20i | −0.0925218 | + | 0.0460063i | ||||
\(783\) | −1.30253e21 | + | 1.06230e21i | −0.257973 | + | 0.210394i | ||||
\(784\) | −5.54388e19 | − | 1.96504e20i | −0.0108754 | − | 0.0385480i | ||||
\(785\) | − | 1.91135e21i | − | 0.371380i | ||||||
\(786\) | −3.06827e21 | − | 1.14686e21i | −0.590505 | − | 0.220719i | ||||
\(787\) | 7.52080e20i | 0.143368i | 0.997427 | + | 0.0716842i | \(0.0228374\pi\) | ||||
−0.997427 | + | 0.0716842i | \(0.977163\pi\) | |||||||
\(788\) | 1.32577e21 | + | 1.00349e21i | 0.250335 | + | 0.189481i | ||||
\(789\) | 5.10401e21 | − | 4.77065e21i | 0.954627 | − | 0.892278i | ||||
\(790\) | −5.33162e21 | − | 1.07223e22i | −0.987771 | − | 1.98647i | ||||
\(791\) | −4.79955e21 | −0.880799 | ||||||||
\(792\) | −1.54859e21 | + | 5.96617e21i | −0.281512 | + | 1.08457i | ||||
\(793\) | −1.95069e20 | −0.0351268 | ||||||||
\(794\) | 3.90033e21 | + | 7.84383e21i | 0.695741 | + | 1.39918i | ||||
\(795\) | −3.34488e21 | + | 3.12642e21i | −0.591054 | + | 0.552451i | ||||
\(796\) | 8.20090e21 | + | 6.20735e21i | 1.43553 | + | 1.08657i | ||||
\(797\) | 6.45738e21i | 1.11974i | 0.828579 | + | 0.559872i | \(0.189150\pi\) | ||||
−0.828579 | + | 0.559872i | \(0.810850\pi\) | |||||||
\(798\) | 8.53822e19 | + | 3.19142e19i | 0.0146672 | + | 0.00548229i | ||||
\(799\) | − | 4.40425e21i | − | 0.749500i | ||||||
\(800\) | 1.15335e22 | − | 1.04557e22i | 1.94441 | − | 1.76270i | ||||
\(801\) | 2.29184e21 | + | 1.54916e20i | 0.382772 | + | 0.0258733i | ||||
\(802\) | 4.85378e21 | − | 2.41353e21i | 0.803104 | − | 0.399342i | ||||
\(803\) | −8.05369e21 | −1.32017 | ||||||||
\(804\) | −8.78742e21 | + | 9.14919e20i | −1.42706 | + | 0.148581i | ||||
\(805\) | 2.04968e21 | 0.329774 | ||||||||
\(806\) | 4.81439e20 | − | 2.39394e20i | 0.0767411 | − | 0.0381594i | ||||
\(807\) | −5.39814e21 | − | 5.77534e21i | −0.852496 | − | 0.912065i | ||||
\(808\) | −5.67503e20 | + | 3.00812e21i | −0.0887939 | + | 0.470663i | ||||
\(809\) | − | 7.64146e21i | − | 1.18457i | −0.805727 | − | 0.592287i | \(-0.798225\pi\) | ||
0.805727 | − | 0.592287i | \(-0.201775\pi\) | |||||||
\(810\) | 1.17407e22 | − | 3.97509e21i | 1.80325 | − | 0.610534i | ||||
\(811\) | 3.94043e21i | 0.599635i | 0.953997 | + | 0.299817i | \(0.0969257\pi\) | ||||
−0.953997 | + | 0.299817i | \(0.903074\pi\) | |||||||
\(812\) | −1.30553e21 | + | 1.72482e21i | −0.196842 | + | 0.260059i | ||||
\(813\) | −4.18184e21 | − | 4.47405e21i | −0.624724 | − | 0.668377i | ||||
\(814\) | 1.72389e21 | + | 3.46686e21i | 0.255168 | + | 0.513161i | ||||
\(815\) | −1.01969e21 | −0.149550 | ||||||||
\(816\) | −2.08214e21 | + | 3.44095e21i | −0.302576 | + | 0.500037i | ||||
\(817\) | −1.67584e20 | −0.0241305 | ||||||||
\(818\) | 5.80416e21 | + | 1.16726e22i | 0.828113 | + | 1.66539i | ||||
\(819\) | −1.82582e21 | − | 1.23415e20i | −0.258124 | − | 0.0174478i | ||||
\(820\) | 9.86499e21 | − | 1.30332e22i | 1.38195 | − | 1.82578i | ||||
\(821\) | − | 6.95621e21i | − | 0.965603i | −0.875730 | − | 0.482802i | \(-0.839619\pi\) | ||
0.875730 | − | 0.482802i | \(-0.160381\pi\) | |||||||
\(822\) | 1.38550e20 | − | 3.70672e20i | 0.0190576 | − | 0.0509861i | ||||
\(823\) | 1.06829e22i | 1.45610i | 0.685526 | + | 0.728048i | \(0.259572\pi\) | ||||
−0.685526 | + | 0.728048i | \(0.740428\pi\) | |||||||
\(824\) | 3.30992e20 | − | 1.75447e21i | 0.0447058 | − | 0.236969i | ||||
\(825\) | −1.60516e22 | + | 1.50032e22i | −2.14839 | + | 2.00807i | ||||
\(826\) | −7.51749e21 | + | 3.73806e21i | −0.997063 | + | 0.495787i | ||||
\(827\) | 1.10778e22 | 1.45600 | 0.727999 | − | 0.685579i | \(-0.240451\pi\) | ||||
0.727999 | + | 0.685579i | \(0.240451\pi\) | |||||||
\(828\) | −1.02458e21 | − | 8.90325e20i | −0.133450 | − | 0.115963i | ||||
\(829\) | −3.20437e21 | −0.413603 | −0.206802 | − | 0.978383i | \(-0.566305\pi\) | ||||
−0.206802 | + | 0.978383i | \(0.566305\pi\) | |||||||
\(830\) | −6.96124e21 | + | 3.46146e21i | −0.890432 | + | 0.442766i | ||||
\(831\) | 8.74533e21 | − | 8.17415e21i | 1.10858 | − | 1.03618i | ||||
\(832\) | 1.95745e21 | + | 7.65832e20i | 0.245905 | + | 0.0962074i | ||||
\(833\) | 1.88028e20i | 0.0234091i | ||||||||
\(834\) | 2.01489e21 | − | 5.39057e21i | 0.248602 | − | 0.665104i | ||||
\(835\) | 2.00825e22i | 2.45567i | ||||||||
\(836\) | 1.17823e20 | + | 8.91812e19i | 0.0142785 | + | 0.0108075i | ||||
\(837\) | −2.09424e21 | + | 1.70799e21i | −0.251528 | + | 0.205137i | ||||
\(838\) | 3.06775e19 | + | 6.16947e19i | 0.00365166 | + | 0.00734374i | ||||
\(839\) | −5.66865e21 | −0.668752 | −0.334376 | − | 0.942440i | \(-0.608525\pi\) | ||||
−0.334376 | + | 0.942440i | \(0.608525\pi\) | |||||||
\(840\) | 1.34721e22 | − | 8.54397e21i | 1.57521 | − | 0.998999i | ||||
\(841\) | 7.67294e21 | 0.889184 | ||||||||
\(842\) | −3.27066e21 | − | 6.57753e21i | −0.375660 | − | 0.755478i | ||||
\(843\) | 1.38562e21 | + | 1.48244e21i | 0.157739 | + | 0.168761i | ||||
\(844\) | 2.52470e21 | + | 1.91097e21i | 0.284867 | + | 0.215619i | ||||
\(845\) | 1.58365e22i | 1.77106i | ||||||||
\(846\) | 1.06828e22 | − | 4.44067e21i | 1.18416 | − | 0.492233i | ||||
\(847\) | − | 2.27877e21i | − | 0.250366i | ||||||
\(848\) | 3.75567e21 | − | 1.05957e21i | 0.408995 | − | 0.115388i | ||||
\(849\) | −6.29499e21 | − | 6.73486e21i | −0.679497 | − | 0.726978i | ||||
\(850\) | −1.28368e22 | + | 6.38308e21i | −1.37346 | + | 0.682949i | ||||
\(851\) | −8.52626e20 | −0.0904246 | ||||||||
\(852\) | 5.38522e20 | + | 5.17229e21i | 0.0566118 | + | 0.543733i | ||||
\(853\) | −1.03216e22 | −1.07554 | −0.537771 | − | 0.843091i | \(-0.680734\pi\) | ||||
−0.537771 | + | 0.843091i | \(0.680734\pi\) | |||||||
\(854\) | 1.12986e21 | − | 5.61820e20i | 0.116705 | − | 0.0580315i | ||||
\(855\) | 2.00406e19 | − | 2.96482e20i | 0.00205194 | − | 0.0303565i | ||||
\(856\) | −1.84142e22 | − | 3.47396e21i | −1.86895 | − | 0.352591i | ||||
\(857\) | − | 9.79087e21i | − | 0.985065i | −0.870294 | − | 0.492533i | \(-0.836071\pi\) | ||
0.870294 | − | 0.492533i | \(-0.163929\pi\) | |||||||
\(858\) | −2.77885e21 | − | 1.03868e21i | −0.277148 | − | 0.103592i | ||||
\(859\) | − | 9.48727e21i | − | 0.937978i | −0.883204 | − | 0.468989i | \(-0.844618\pi\) | ||
0.883204 | − | 0.468989i | \(-0.155382\pi\) | |||||||
\(860\) | −1.77011e22 | + | 2.33859e22i | −1.73485 | + | 2.29201i | ||||
\(861\) | 8.86100e21 | − | 8.28226e21i | 0.860912 | − | 0.804684i | ||||
\(862\) | 6.04641e21 | + | 1.21598e22i | 0.582362 | + | 1.17117i | ||||
\(863\) | −2.00678e22 | −1.91610 | −0.958050 | − | 0.286602i | \(-0.907474\pi\) | ||||
−0.958050 | + | 0.286602i | \(0.907474\pi\) | |||||||
\(864\) | −1.04456e22 | − | 1.58099e21i | −0.988739 | − | 0.149650i | ||||
\(865\) | 1.84319e22 | 1.72962 | ||||||||
\(866\) | 1.91155e21 | + | 3.84425e21i | 0.177828 | + | 0.357625i | ||||
\(867\) | −5.21552e21 | + | 4.87488e21i | −0.481010 | + | 0.449594i | ||||
\(868\) | −2.09906e21 | + | 2.77320e21i | −0.191923 | + | 0.253561i | ||||
\(869\) | − | 1.44046e22i | − | 1.30573i | ||||||
\(870\) | 6.60572e21 | + | 2.46909e21i | 0.593644 | + | 0.221892i | ||||
\(871\) | − | 4.25219e21i | − | 0.378858i | ||||||
\(872\) | −8.72507e21 | − | 1.64605e21i | −0.770717 | − | 0.145401i | ||||
\(873\) | −9.98631e20 | + | 1.47738e22i | −0.0874578 | + | 1.29386i | ||||
\(874\) | −2.91372e19 | + | 1.44884e19i | −0.00252995 | + | 0.00125801i | ||||
\(875\) | 3.51979e22 | 3.03010 | ||||||||
\(876\) | −1.42947e21 | − | 1.37295e22i | −0.122010 | − | 1.17185i | ||||
\(877\) | 2.66187e21 | 0.225263 | 0.112631 | − | 0.993637i | \(-0.464072\pi\) | ||||
0.112631 | + | 0.993637i | \(0.464072\pi\) | |||||||
\(878\) | 4.33580e21 | − | 2.15597e21i | 0.363798 | − | 0.180898i | ||||
\(879\) | −9.56800e21 | − | 1.02366e22i | −0.795984 | − | 0.851605i | ||||
\(880\) | 2.48901e22 | − | 7.02212e21i | 2.05308 | − | 0.579226i | ||||
\(881\) | 6.89696e21i | 0.564077i | 0.959403 | + | 0.282039i | \(0.0910106\pi\) | ||||
−0.959403 | + | 0.282039i | \(0.908989\pi\) | |||||||
\(882\) | −4.56075e20 | + | 1.89582e20i | −0.0369847 | + | 0.0153739i | ||||
\(883\) | − | 6.26394e21i | − | 0.503666i | −0.967771 | − | 0.251833i | \(-0.918967\pi\) | ||
0.967771 | − | 0.251833i | \(-0.0810333\pi\) | |||||||
\(884\) | −1.54342e21 | − | 1.16823e21i | −0.123053 | − | 0.0931403i | ||||
\(885\) | 1.86894e22 | + | 1.99954e22i | 1.47748 | + | 1.58072i | ||||
\(886\) | −5.74600e21 | − | 1.15556e22i | −0.450415 | − | 0.905816i | ||||
\(887\) | 1.02327e22 | 0.795361 | 0.397680 | − | 0.917524i | \(-0.369815\pi\) | ||||
0.397680 | + | 0.917524i | \(0.369815\pi\) | |||||||
\(888\) | −5.60412e21 | + | 3.55413e21i | −0.431927 | + | 0.273927i | ||||
\(889\) | −7.93947e21 | −0.606776 | ||||||||
\(890\) | −4.29114e21 | − | 8.62978e21i | −0.325198 | − | 0.653995i | ||||
\(891\) | 1.47750e22 | + | 2.00659e21i | 1.11031 | + | 0.150792i | ||||
\(892\) | 1.31072e22 | + | 9.92099e21i | 0.976729 | + | 0.739297i | ||||
\(893\) | − | 2.77348e20i | − | 0.0204946i | ||||||
\(894\) | −4.36771e21 | + | 1.16852e22i | −0.320053 | + | 0.856262i | ||||
\(895\) | − | 1.08827e22i | − | 0.790796i | ||||||
\(896\) | −1.35435e22 | + | 1.20191e21i | −0.975933 | + | 0.0866089i | ||||
\(897\) | 4.77270e20 | − | 4.46099e20i | 0.0341052 | − | 0.0318777i | ||||
\(898\) | 2.06747e21 | − | 1.02805e21i | 0.146510 | − | 0.0728519i | ||||
\(899\) | −1.53748e21 | −0.108047 | ||||||||
\(900\) | −2.84256e22 | − | 2.47008e22i | −1.98103 | − | 1.72144i | ||||
\(901\) | −3.59365e21 | −0.248371 | ||||||||
\(902\) | 1.76061e22 | − | 8.75462e21i | 1.20674 | − | 0.600051i | ||||
\(903\) | −1.58996e22 | + | 1.48611e22i | −1.08076 | + | 1.01017i | ||||
\(904\) | 2.47227e21 | − | 1.31046e22i | 0.166660 | − | 0.883403i | ||||
\(905\) | − | 2.79003e22i | − | 1.86528i | ||||||
\(906\) | −2.34025e21 | + | 6.26105e21i | −0.155168 | + | 0.415131i | ||||
\(907\) | − | 2.53200e22i | − | 1.66498i | −0.554042 | − | 0.832489i | \(-0.686915\pi\) | ||
0.554042 | − | 0.832489i | \(-0.313085\pi\) | |||||||
\(908\) | 8.95219e20 | − | 1.18273e21i | 0.0583829 | − | 0.0771331i | ||||
\(909\) | 7.38828e21 | + | 4.99408e20i | 0.477875 | + | 0.0323018i | ||||
\(910\) | 3.41858e21 | + | 6.87500e21i | 0.219298 | + | 0.441024i | ||||
\(911\) | 1.24018e22 | 0.789039 | 0.394519 | − | 0.918888i | \(-0.370911\pi\) | ||||
0.394519 | + | 0.918888i | \(0.370911\pi\) | |||||||
\(912\) | −1.31118e20 | + | 2.16686e20i | −0.00827374 | + | 0.0136732i | ||||
\(913\) | −9.35195e21 | −0.585290 | ||||||||
\(914\) | −2.15001e21 | − | 4.32382e21i | −0.133458 | − | 0.268393i | ||||
\(915\) | −2.80898e21 | − | 3.00526e21i | −0.172938 | − | 0.185022i | ||||
\(916\) | −1.71510e22 | + | 2.26592e22i | −1.04731 | + | 1.38366i | ||||
\(917\) | 1.01980e22i | 0.617654i | ||||||||
\(918\) | 8.86280e21 | + | 4.01321e21i | 0.532416 | + | 0.241086i | ||||
\(919\) | 4.00707e21i | 0.238759i | 0.992849 | + | 0.119380i | \(0.0380906\pi\) | ||||
−0.992849 | + | 0.119380i | \(0.961909\pi\) | |||||||
\(920\) | −1.05580e21 | + | 5.59637e21i | −0.0623981 | + | 0.330749i | ||||
\(921\) | 7.42636e21 | + | 7.94529e21i | 0.435340 | + | 0.465760i | ||||
\(922\) | −2.17918e20 | + | 1.08360e20i | −0.0126710 | + | 0.00630065i | ||||
\(923\) | −2.50284e21 | −0.144351 | ||||||||
\(924\) | 1.90870e22 | − | 1.98728e21i | 1.09194 | − | 0.113689i | ||||
\(925\) | −2.36549e22 | −1.34232 | ||||||||
\(926\) | −2.30062e22 | + | 1.14398e22i | −1.29498 | + | 0.643926i | ||||
\(927\) | −4.30917e21 | − | 2.91277e20i | −0.240600 | − | 0.0162633i | ||||
\(928\) | −4.03690e21 | − | 4.45304e21i | −0.223583 | − | 0.246631i | ||||
\(929\) | − | 2.01199e22i | − | 1.10537i | −0.833391 | − | 0.552684i | \(-0.813604\pi\) | ||
0.833391 | − | 0.552684i | \(-0.186396\pi\) | |||||||
\(930\) | 1.06208e22 | + | 3.96985e21i | 0.578811 | + | 0.216348i | ||||
\(931\) | 1.18406e19i | 0.000640106i | ||||||||
\(932\) | 2.52507e22 | + | 1.91125e22i | 1.35411 | + | 1.02494i | ||||
\(933\) | −7.86650e21 | + | 7.35271e21i | −0.418474 | + | 0.391143i | ||||
\(934\) | 5.16321e21 | + | 1.03836e22i | 0.272470 | + | 0.547955i | ||||
\(935\) | −2.38164e22 | −1.24678 | ||||||||
\(936\) | 1.27745e21 | − | 4.92158e21i | 0.0663402 | − | 0.255585i | ||||
\(937\) | 2.11836e22 | 1.09132 | 0.545661 | − | 0.838006i | \(-0.316279\pi\) | ||||
0.545661 | + | 0.838006i | \(0.316279\pi\) | |||||||
\(938\) | 1.22468e22 | + | 2.46291e22i | 0.625894 | + | 1.25872i | ||||
\(939\) | 6.64644e21 | − | 6.21235e21i | 0.336975 | − | 0.314966i | ||||
\(940\) | −3.87033e22 | − | 2.92950e22i | −1.94666 | − | 1.47344i | ||||
\(941\) | 2.51963e22i | 1.25723i | 0.777717 | + | 0.628615i | \(0.216378\pi\) | ||||
−0.777717 | + | 0.628615i | \(0.783622\pi\) | |||||||
\(942\) | 3.69132e21 | + | 1.37974e21i | 0.182726 | + | 0.0682991i | ||||
\(943\) | 4.32998e21i | 0.212642i | ||||||||
\(944\) | −6.33400e21 | − | 2.24510e22i | −0.308594 | − | 1.09382i | ||||
\(945\) | −2.43903e22 | − | 2.99060e22i | −1.17890 | − | 1.44550i | ||||
\(946\) | −3.15913e22 | + | 1.57087e22i | −1.51490 | + | 0.753280i | ||||
\(947\) | 1.86383e22 | 0.886710 | 0.443355 | − | 0.896346i | \(-0.353788\pi\) | ||||
0.443355 | + | 0.896346i | \(0.353788\pi\) | |||||||
\(948\) | 2.45561e22 | − | 2.55671e21i | 1.15904 | − | 0.120675i | ||||
\(949\) | 6.64362e21 | 0.311106 | ||||||||
\(950\) | −8.08370e20 | + | 4.01960e20i | −0.0375563 | + | 0.0186748i | ||||
\(951\) | 2.37483e21 | + | 2.54078e21i | 0.109466 | + | 0.117115i | ||||
\(952\) | 1.23043e22 | + | 2.32130e21i | 0.562706 | + | 0.106158i | ||||
\(953\) | 2.79776e22i | 1.26945i | 0.772740 | + | 0.634723i | \(0.218886\pi\) | ||||
−0.772740 | + | 0.634723i | \(0.781114\pi\) | |||||||
\(954\) | −3.62336e21 | − | 8.71668e21i | −0.163117 | − | 0.392408i | ||||
\(955\) | 5.65978e22i | 2.52798i | ||||||||
\(956\) | 7.29968e21 | − | 9.64404e21i | 0.323496 | − | 0.427391i | ||||
\(957\) | 5.79267e21 | + | 6.19744e21i | 0.254706 | + | 0.272504i | ||||
\(958\) | −1.98650e22 | − | 3.99499e22i | −0.866658 | − | 1.74291i | ||||
\(959\) | −1.23200e21 | −0.0533301 | ||||||||
\(960\) | 1.63887e22 | + | 4.11848e22i | 0.703898 | + | 1.76890i | ||||
\(961\) | 2.09933e22 | 0.894653 | ||||||||
\(962\) | −1.42206e21 | − | 2.85987e21i | −0.0601320 | − | 0.120930i | ||||
\(963\) | −3.05712e21 | + | 4.52272e22i | −0.128267 | + | 1.89759i | ||||
\(964\) | 1.73777e22 | − | 2.29587e22i | 0.723459 | − | 0.955805i | ||||
\(965\) | − | 2.79631e22i | − | 1.15513i | ||||||
\(966\) | −1.47959e21 | + | 3.95845e21i | −0.0606474 | + | 0.162254i | ||||
\(967\) | − | 3.09934e21i | − | 0.126058i | −0.998012 | − | 0.0630291i | \(-0.979924\pi\) | ||
0.998012 | − | 0.0630291i | \(-0.0200761\pi\) | |||||||
\(968\) | 6.22189e21 | + | 1.17380e21i | 0.251106 | + | 0.0473729i | ||||
\(969\) | 1.70395e20 | − | 1.59266e20i | 0.00682383 | − | 0.00637815i | ||||
\(970\) | 5.56299e22 | − | 2.76619e22i | 2.21065 | − | 1.09924i | ||||
\(971\) | −1.79148e22 | −0.706429 | −0.353214 | − | 0.935542i | \(-0.614911\pi\) | ||||
−0.353214 | + | 0.935542i | \(0.614911\pi\) | |||||||
\(972\) | −7.98268e20 | + | 2.55438e22i | −0.0312357 | + | 0.999512i | ||||
\(973\) | −1.79167e22 | −0.695682 | ||||||||
\(974\) | −1.39590e22 | + | 6.94111e21i | −0.537853 | + | 0.267446i | ||||
\(975\) | 1.32412e22 | − | 1.23764e22i | 0.506282 | − | 0.473215i | ||||
\(976\) | 9.51983e20 | + | 3.37433e21i | 0.0361207 | + | 0.128031i | ||||
\(977\) | 1.13585e22i | 0.427673i | 0.976869 | + | 0.213836i | \(0.0685959\pi\) | ||||
−0.976869 | + | 0.213836i | \(0.931404\pi\) | |||||||
\(978\) | 7.36079e20 | − | 1.96928e21i | 0.0275032 | − | 0.0735812i | ||||
\(979\) | − | 1.15935e22i | − | 0.429878i | ||||||
\(980\) | 1.65233e21 | + | 1.25067e21i | 0.0607998 | + | 0.0460200i | ||||
\(981\) | −1.44854e21 | + | 2.14297e22i | −0.0528946 | + | 0.782527i | ||||
\(982\) | 4.93274e20 | + | 9.92008e20i | 0.0178752 | + | 0.0359483i | ||||
\(983\) | 1.87521e22 | 0.674370 | 0.337185 | − | 0.941438i | \(-0.390525\pi\) | ||||
0.337185 | + | 0.941438i | \(0.390525\pi\) | |||||||
\(984\) | 1.80493e22 | + | 2.84600e22i | 0.644166 | + | 1.01572i | ||||
\(985\) | −1.68759e22 | −0.597718 | ||||||||
\(986\) | 2.46448e21 | + | 4.95624e21i | 0.0866260 | + | 0.174211i | ||||
\(987\) | −2.45949e22 | − | 2.63135e22i | −0.857959 | − | 0.917910i | ||||
\(988\) | −9.71938e19 | − | 7.35670e19i | −0.00336482 | − | 0.00254686i | ||||
\(989\) | − | 7.76943e21i | − | 0.266942i | ||||||
\(990\) | −2.40133e22 | − | 5.77684e22i | −0.818818 | − | 1.96982i | ||||
\(991\) | − | 2.20373e22i | − | 0.745771i | −0.927877 | − | 0.372885i | \(-0.878368\pi\) | ||
0.927877 | − | 0.372885i | \(-0.121632\pi\) | |||||||
\(992\) | −6.49063e21 | − | 7.15971e21i | −0.217996 | − | 0.240468i | ||||
\(993\) | −3.46981e22 | − | 3.71227e22i | −1.15661 | − | 1.23743i | ||||
\(994\) | 1.44968e22 | − | 7.20848e21i | 0.479593 | − | 0.238477i | ||||
\(995\) | −1.04391e23 | −3.42758 | ||||||||
\(996\) | −1.65990e21 | − | 1.59426e22i | −0.0540924 | − | 0.519536i | ||||
\(997\) | −3.24585e22 | −1.04982 | −0.524910 | − | 0.851157i | \(-0.675901\pi\) | ||||
−0.524910 | + | 0.851157i | \(0.675901\pi\) | |||||||
\(998\) | 4.23512e22 | − | 2.10591e22i | 1.35952 | − | 0.676021i | ||||
\(999\) | 1.01459e22 | + | 1.24403e22i | 0.323258 | + | 0.396360i |
(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 | 12.16.b.a.11.11 | ✓ | 28 | |
3.2 | odd | 2 | inner | 12.16.b.a.11.18 | yes | 28 | |
4.3 | odd | 2 | inner | 12.16.b.a.11.17 | yes | 28 | |
12.11 | even | 2 | inner | 12.16.b.a.11.12 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.16.b.a.11.11 | ✓ | 28 | 1.1 | even | 1 | trivial | |
12.16.b.a.11.12 | yes | 28 | 12.11 | even | 2 | inner | |
12.16.b.a.11.17 | yes | 28 | 4.3 | odd | 2 | inner | |
12.16.b.a.11.18 | yes | 28 | 3.2 | odd | 2 | inner |