Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [18,9,Mod(5,18)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(18, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("18.5");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 18 = 2 \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 18.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.33281498110\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 8 x^{15} + 5476 x^{14} - 38192 x^{13} + 11414542 x^{12} - 67991120 x^{11} + \cdots + 19\!\cdots\!29 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{28}\cdot 3^{22} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Root | \(0.500000 + 11.5235i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 18.11 |
Dual form | 18.9.d.a.5.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/18\mathbb{Z}\right)^\times\).
\(n\) | \(11\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.79796 | + | 5.65685i | 0.612372 | + | 0.353553i | ||||
\(3\) | 7.38176 | + | 80.6629i | 0.0911329 | + | 0.995839i | ||||
\(4\) | 64.0000 | + | 110.851i | 0.250000 | + | 0.433013i | ||||
\(5\) | 935.250 | − | 539.967i | 1.49640 | − | 0.863947i | 0.496408 | − | 0.868089i | \(-0.334652\pi\) |
0.999991 | + | 0.00414227i | \(0.00131853\pi\) | |||||||
\(6\) | −383.972 | + | 832.090i | −0.296275 | + | 0.642045i | ||||
\(7\) | −2056.09 | + | 3561.25i | −0.856347 | + | 1.48324i | 0.0190419 | + | 0.999819i | \(0.493938\pi\) |
−0.875389 | + | 0.483419i | \(0.839395\pi\) | |||||||
\(8\) | 1448.15i | 0.353553i | ||||||||
\(9\) | −6452.02 | + | 1190.87i | −0.983390 | + | 0.181507i | ||||
\(10\) | 12218.1 | 1.22181 | ||||||||
\(11\) | 8419.53 | + | 4861.02i | 0.575065 | + | 0.332014i | 0.759170 | − | 0.650893i | \(-0.225605\pi\) |
−0.184105 | + | 0.982907i | \(0.558939\pi\) | |||||||
\(12\) | −8469.15 | + | 5980.71i | −0.408428 | + | 0.288421i | ||||
\(13\) | −4116.02 | − | 7129.16i | −0.144113 | − | 0.249612i | 0.784928 | − | 0.619586i | \(-0.212700\pi\) |
−0.929042 | + | 0.369975i | \(0.879366\pi\) | |||||||
\(14\) | −40291.0 | + | 23262.0i | −1.04881 | + | 0.605529i | ||||
\(15\) | 50459.1 | + | 71454.1i | 0.996723 | + | 1.41144i | ||||
\(16\) | −8192.00 | + | 14189.0i | −0.125000 | + | 0.216506i | ||||
\(17\) | − | 87809.9i | − | 1.05135i | −0.850685 | − | 0.525676i | \(-0.823813\pi\) | ||
0.850685 | − | 0.525676i | \(-0.176187\pi\) | |||||||
\(18\) | −69953.2 | − | 24830.0i | −0.666373 | − | 0.236531i | ||||
\(19\) | 123643. | 0.948754 | 0.474377 | − | 0.880322i | \(-0.342673\pi\) | ||||
0.474377 | + | 0.880322i | \(0.342673\pi\) | |||||||
\(20\) | 119712. | + | 69115.7i | 0.748200 | + | 0.431973i | ||||
\(21\) | −302439. | − | 139562.i | −1.55511 | − | 0.717612i | ||||
\(22\) | 54996.1 | + | 95256.1i | 0.234769 | + | 0.406632i | ||||
\(23\) | 92029.4 | − | 53133.2i | 0.328863 | − | 0.189869i | −0.326473 | − | 0.945206i | \(-0.605860\pi\) |
0.655336 | + | 0.755337i | \(0.272527\pi\) | |||||||
\(24\) | −116812. | + | 10689.9i | −0.352082 | + | 0.0322203i | ||||
\(25\) | 387816. | − | 671717.i | 0.992808 | − | 1.71959i | ||||
\(26\) | − | 93134.9i | − | 0.203807i | ||||||
\(27\) | −143686. | − | 511648.i | −0.270371 | − | 0.962756i | ||||
\(28\) | −526359. | −0.856347 | ||||||||
\(29\) | 430885. | + | 248772.i | 0.609213 | + | 0.351729i | 0.772657 | − | 0.634823i | \(-0.218927\pi\) |
−0.163444 | + | 0.986553i | \(0.552260\pi\) | |||||||
\(30\) | 90190.8 | + | 985544.i | 0.111347 | + | 1.21672i | ||||
\(31\) | −577977. | − | 1.00109e6i | −0.625841 | − | 1.08399i | −0.988378 | − | 0.152019i | \(-0.951422\pi\) |
0.362536 | − | 0.931970i | \(-0.381911\pi\) | |||||||
\(32\) | −160530. | + | 92681.9i | −0.153093 | + | 0.0883883i | ||||
\(33\) | −329953. | + | 715027.i | −0.278225 | + | 0.602929i | ||||
\(34\) | 496728. | − | 860358.i | 0.371709 | − | 0.643819i | ||||
\(35\) | 4.44088e6i | 2.95935i | ||||||||
\(36\) | −544939. | − | 638999.i | −0.324442 | − | 0.380443i | ||||
\(37\) | 1.20145e6 | 0.641061 | 0.320531 | − | 0.947238i | \(-0.396139\pi\) | ||||
0.320531 | + | 0.947238i | \(0.396139\pi\) | |||||||
\(38\) | 1.21145e6 | + | 699428.i | 0.580991 | + | 0.335435i | ||||
\(39\) | 544675. | − | 384636.i | 0.235439 | − | 0.166261i | ||||
\(40\) | 781955. | + | 1.35439e6i | 0.305451 | + | 0.529057i | ||||
\(41\) | 1.53952e6 | − | 888843.i | 0.544816 | − | 0.314550i | −0.202212 | − | 0.979342i | \(-0.564813\pi\) |
0.747029 | + | 0.664792i | \(0.231480\pi\) | |||||||
\(42\) | −2.17380e6 | − | 3.07827e6i | −0.698590 | − | 0.989259i | ||||
\(43\) | −528726. | + | 915780.i | −0.154652 | + | 0.267866i | −0.932932 | − | 0.360052i | \(-0.882759\pi\) |
0.778280 | + | 0.627917i | \(0.216092\pi\) | |||||||
\(44\) | 1.24442e6i | 0.332014i | ||||||||
\(45\) | −5.39122e6 | + | 4.59764e6i | −1.31473 | + | 1.12120i | ||||
\(46\) | 1.20227e6 | 0.268516 | ||||||||
\(47\) | −3.80689e6 | − | 2.19791e6i | −0.780151 | − | 0.450420i | 0.0563327 | − | 0.998412i | \(-0.482059\pi\) |
−0.836484 | + | 0.547992i | \(0.815393\pi\) | |||||||
\(48\) | −1.20499e6 | − | 556051.i | −0.226997 | − | 0.104749i | ||||
\(49\) | −5.57261e6 | − | 9.65205e6i | −0.966662 | − | 1.67431i | ||||
\(50\) | 7.59961e6 | − | 4.38763e6i | 1.21594 | − | 0.702021i | ||||
\(51\) | 7.08301e6 | − | 648192.i | 1.04698 | − | 0.0958127i | ||||
\(52\) | 526851. | − | 912532.i | 0.0720567 | − | 0.124806i | ||||
\(53\) | 1.04810e6i | 0.132831i | 0.997792 | + | 0.0664157i | \(0.0211563\pi\) | ||||
−0.997792 | + | 0.0664157i | \(0.978844\pi\) | |||||||
\(54\) | 1.48649e6 | − | 5.82592e6i | 0.174818 | − | 0.685156i | ||||
\(55\) | 1.04991e7 | 1.14737 | ||||||||
\(56\) | −5.15724e6 | − | 2.97754e6i | −0.524404 | − | 0.302765i | ||||
\(57\) | 912700. | + | 9.97337e6i | 0.0864627 | + | 0.944806i | ||||
\(58\) | 2.81453e6 | + | 4.87491e6i | 0.248710 | + | 0.430779i | ||||
\(59\) | −8.70048e6 | + | 5.02323e6i | −0.718018 | + | 0.414548i | −0.814023 | − | 0.580833i | \(-0.802727\pi\) |
0.0960047 | + | 0.995381i | \(0.469394\pi\) | |||||||
\(60\) | −4.69139e6 | + | 1.01665e7i | −0.361990 | + | 0.784453i | ||||
\(61\) | −4.15770e6 | + | 7.20135e6i | −0.300285 | + | 0.520109i | −0.976200 | − | 0.216870i | \(-0.930415\pi\) |
0.675915 | + | 0.736979i | \(0.263749\pi\) | |||||||
\(62\) | − | 1.30781e7i | − | 0.885073i | ||||||
\(63\) | 9.02495e6 | − | 2.54258e7i | 0.572905 | − | 1.61403i | ||||
\(64\) | −2.09715e6 | −0.125000 | ||||||||
\(65\) | −7.69902e6 | − | 4.44503e6i | −0.431302 | − | 0.249013i | ||||
\(66\) | −7.27767e6 | + | 5.13931e6i | −0.383545 | + | 0.270850i | ||||
\(67\) | 6.19183e6 | + | 1.07246e7i | 0.307270 | + | 0.532207i | 0.977764 | − | 0.209708i | \(-0.0672513\pi\) |
−0.670494 | + | 0.741915i | \(0.733918\pi\) | |||||||
\(68\) | 9.73384e6 | − | 5.61983e6i | 0.455248 | − | 0.262838i | ||||
\(69\) | 4.96522e6 | + | 7.03114e6i | 0.219049 | + | 0.310191i | ||||
\(70\) | −2.51214e7 | + | 4.35116e7i | −1.04629 | + | 1.81223i | ||||
\(71\) | − | 1.69579e7i | − | 0.667328i | −0.942692 | − | 0.333664i | \(-0.891715\pi\) | ||
0.942692 | − | 0.333664i | \(-0.108285\pi\) | |||||||
\(72\) | −1.72456e6 | − | 9.34352e6i | −0.0641725 | − | 0.347681i | ||||
\(73\) | −2.42736e7 | −0.854757 | −0.427378 | − | 0.904073i | \(-0.640563\pi\) | ||||
−0.427378 | + | 0.904073i | \(0.640563\pi\) | |||||||
\(74\) | 1.17718e7 | + | 6.79644e6i | 0.392568 | + | 0.226649i | ||||
\(75\) | 5.70454e7 | + | 2.63239e7i | 1.80292 | + | 0.831965i | ||||
\(76\) | 7.91313e6 | + | 1.37059e7i | 0.237189 | + | 0.410823i | ||||
\(77\) | −3.46226e7 | + | 1.99894e7i | −0.984911 | + | 0.568639i | ||||
\(78\) | 7.51254e6 | − | 687500.i | 0.202959 | − | 0.0185735i | ||||
\(79\) | 6.39004e6 | − | 1.10679e7i | 0.164057 | − | 0.284155i | −0.772263 | − | 0.635303i | \(-0.780875\pi\) |
0.936320 | + | 0.351148i | \(0.114209\pi\) | |||||||
\(80\) | 1.76936e7i | 0.431973i | ||||||||
\(81\) | 4.02104e7 | − | 1.53670e7i | 0.934110 | − | 0.356985i | ||||
\(82\) | 2.01122e7 | 0.444841 | ||||||||
\(83\) | −2.79188e7 | − | 1.61189e7i | −0.588281 | − | 0.339644i | 0.176136 | − | 0.984366i | \(-0.443640\pi\) |
−0.764418 | + | 0.644722i | \(0.776973\pi\) | |||||||
\(84\) | −3.88546e6 | − | 4.24577e7i | −0.0780414 | − | 0.852784i | ||||
\(85\) | −4.74144e7 | − | 8.21242e7i | −0.908312 | − | 1.57324i | ||||
\(86\) | −1.03609e7 | + | 5.98185e6i | −0.189410 | + | 0.109356i | ||||
\(87\) | −1.68860e7 | + | 3.65928e7i | −0.294746 | + | 0.638732i | ||||
\(88\) | −7.03950e6 | + | 1.21928e7i | −0.117385 | + | 0.203316i | ||||
\(89\) | 2.10088e7i | 0.334843i | 0.985885 | + | 0.167422i | \(0.0535441\pi\) | ||||
−0.985885 | + | 0.167422i | \(0.946456\pi\) | |||||||
\(90\) | −7.88311e7 | + | 1.45501e7i | −1.20151 | + | 0.221767i | ||||
\(91\) | 3.38516e7 | 0.493644 | ||||||||
\(92\) | 1.17798e7 | + | 6.80105e6i | 0.164432 | + | 0.0949346i | ||||
\(93\) | 7.64841e7 | − | 5.40111e7i | 1.02244 | − | 0.722024i | ||||
\(94\) | −2.48665e7 | − | 4.30700e7i | −0.318495 | − | 0.551650i | ||||
\(95\) | 1.15637e8 | − | 6.67629e7i | 1.41972 | − | 0.819673i | ||||
\(96\) | −8.66099e6 | − | 1.22646e7i | −0.101972 | − | 0.144401i | ||||
\(97\) | −4.46651e7 | + | 7.73622e7i | −0.504523 | + | 0.873860i | 0.495463 | + | 0.868629i | \(0.334998\pi\) |
−0.999986 | + | 0.00523116i | \(0.998335\pi\) | |||||||
\(98\) | − | 1.26094e8i | − | 1.36707i | ||||||
\(99\) | −6.01118e7 | − | 2.13368e7i | −0.625776 | − | 0.222121i | ||||
\(100\) | 9.92808e7 | 0.992808 | ||||||||
\(101\) | −3.08430e7 | − | 1.78072e7i | −0.296395 | − | 0.171124i | 0.344427 | − | 0.938813i | \(-0.388073\pi\) |
−0.640822 | + | 0.767689i | \(0.721406\pi\) | |||||||
\(102\) | 7.30657e7 | + | 3.37166e7i | 0.675014 | + | 0.311489i | ||||
\(103\) | −4.35300e6 | − | 7.53962e6i | −0.0386759 | − | 0.0669886i | 0.846040 | − | 0.533120i | \(-0.178981\pi\) |
−0.884715 | + | 0.466132i | \(0.845647\pi\) | |||||||
\(104\) | 1.03241e7 | − | 5.96064e6i | 0.0882510 | − | 0.0509518i | ||||
\(105\) | −3.58215e8 | + | 3.27815e7i | −2.94704 | + | 0.269694i | ||||
\(106\) | −5.92897e6 | + | 1.02693e7i | −0.0469630 | + | 0.0813422i | ||||
\(107\) | 2.34341e8i | 1.78778i | 0.448290 | + | 0.893888i | \(0.352033\pi\) | ||||
−0.448290 | + | 0.893888i | \(0.647967\pi\) | |||||||
\(108\) | 4.75209e7 | − | 4.86733e7i | 0.349293 | − | 0.357763i | ||||
\(109\) | 2.66492e8 | 1.88789 | 0.943947 | − | 0.330098i | \(-0.107082\pi\) | ||||
0.943947 | + | 0.330098i | \(0.107082\pi\) | |||||||
\(110\) | 1.02870e8 | + | 5.93921e7i | 0.702617 | + | 0.405656i | ||||
\(111\) | 8.86883e6 | + | 9.69126e7i | 0.0584217 | + | 0.638393i | ||||
\(112\) | −3.36870e7 | − | 5.83476e7i | −0.214087 | − | 0.370809i | ||||
\(113\) | −2.47560e8 | + | 1.42929e8i | −1.51833 | + | 0.876610i | −0.518565 | + | 0.855038i | \(0.673534\pi\) |
−0.999767 | + | 0.0215714i | \(0.993133\pi\) | |||||||
\(114\) | −4.74753e7 | + | 1.02882e8i | −0.281092 | + | 0.609142i | ||||
\(115\) | 5.73803e7 | − | 9.93856e7i | 0.328074 | − | 0.568241i | ||||
\(116\) | 6.36855e7i | 0.351729i | ||||||||
\(117\) | 3.50465e7 | + | 4.10958e7i | 0.187026 | + | 0.219308i | ||||
\(118\) | −1.13663e8 | −0.586259 | ||||||||
\(119\) | 3.12713e8 | + | 1.80545e8i | 1.55940 | + | 0.900322i | ||||
\(120\) | −1.03477e8 | + | 7.30726e7i | −0.499019 | + | 0.352395i | ||||
\(121\) | −5.99205e7 | − | 1.03785e8i | −0.279534 | − | 0.484166i | ||||
\(122\) | −8.14740e7 | + | 4.70390e7i | −0.367773 | + | 0.212334i | ||||
\(123\) | 8.30610e7 | + | 1.17621e8i | 0.362892 | + | 0.513883i | ||||
\(124\) | 7.39811e7 | − | 1.28139e8i | 0.312921 | − | 0.541994i | ||||
\(125\) | − | 4.15781e8i | − | 1.70304i | ||||||
\(126\) | 2.32256e8 | − | 1.98068e8i | 0.921478 | − | 0.785837i | ||||
\(127\) | −8.18752e7 | −0.314730 | −0.157365 | − | 0.987541i | \(-0.550300\pi\) | ||||
−0.157365 | + | 0.987541i | \(0.550300\pi\) | |||||||
\(128\) | −2.05478e7 | − | 1.18633e7i | −0.0765466 | − | 0.0441942i | ||||
\(129\) | −7.77724e7 | − | 3.58885e7i | −0.280845 | − | 0.129597i | ||||
\(130\) | −5.02898e7 | − | 8.71044e7i | −0.176078 | − | 0.304977i | ||||
\(131\) | 3.27800e8 | − | 1.89256e8i | 1.11308 | − | 0.642634i | 0.173451 | − | 0.984843i | \(-0.444508\pi\) |
0.939624 | + | 0.342208i | \(0.111175\pi\) | |||||||
\(132\) | −1.00379e8 | + | 9.18601e6i | −0.330632 | + | 0.0302574i | ||||
\(133\) | −2.54220e8 | + | 4.40322e8i | −0.812463 | + | 1.40723i | ||||
\(134\) | 1.40105e8i | 0.434545i | ||||||||
\(135\) | −4.10656e8 | − | 4.00933e8i | −1.23635 | − | 1.20708i | ||||
\(136\) | 1.27162e8 | 0.371709 | ||||||||
\(137\) | 8.36881e7 | + | 4.83174e7i | 0.237565 | + | 0.137158i | 0.614057 | − | 0.789262i | \(-0.289537\pi\) |
−0.376492 | + | 0.926420i | \(0.622870\pi\) | |||||||
\(138\) | 8.87485e6 | + | 9.69784e7i | 0.0244706 | + | 0.267398i | ||||
\(139\) | −2.13230e8 | − | 3.69325e8i | −0.571200 | − | 0.989348i | −0.996443 | − | 0.0842686i | \(-0.973145\pi\) |
0.425243 | − | 0.905079i | \(-0.360189\pi\) | |||||||
\(140\) | −4.92277e8 | + | 2.84216e8i | −1.28144 | + | 0.739839i | ||||
\(141\) | 1.49188e8 | − | 3.23299e8i | 0.377449 | − | 0.817953i | ||||
\(142\) | 9.59286e7 | − | 1.66153e8i | 0.235936 | − | 0.408653i | ||||
\(143\) | − | 8.00322e7i | − | 0.191391i | ||||||
\(144\) | 3.59577e7 | − | 1.01303e8i | 0.0836262 | − | 0.235599i | ||||
\(145\) | 5.37313e8 | 1.21550 | ||||||||
\(146\) | −2.37832e8 | − | 1.37312e8i | −0.523429 | − | 0.302202i | ||||
\(147\) | 7.37427e8 | − | 5.20752e8i | 1.57925 | − | 1.11522i | ||||
\(148\) | 7.68929e7 | + | 1.33182e8i | 0.160265 | + | 0.277588i | ||||
\(149\) | 3.73436e8 | − | 2.15603e8i | 0.757653 | − | 0.437431i | −0.0707992 | − | 0.997491i | \(-0.522555\pi\) |
0.828453 | + | 0.560059i | \(0.189222\pi\) | |||||||
\(150\) | 4.10018e8 | + | 5.80618e8i | 0.809912 | + | 1.14690i | ||||
\(151\) | −4.20280e8 | + | 7.27947e8i | −0.808409 | + | 1.40021i | 0.105556 | + | 0.994413i | \(0.466338\pi\) |
−0.913965 | + | 0.405793i | \(0.866996\pi\) | |||||||
\(152\) | 1.79054e8i | 0.335435i | ||||||||
\(153\) | 1.04570e8 | + | 5.66551e8i | 0.190828 | + | 1.03389i | ||||
\(154\) | −4.52308e8 | −0.804176 | ||||||||
\(155\) | −1.08111e9 | − | 6.24177e8i | −1.87302 | − | 1.08139i | ||||
\(156\) | 7.74966e7 | + | 3.57612e7i | 0.130853 | + | 0.0603829i | ||||
\(157\) | 2.10919e8 | + | 3.65323e8i | 0.347150 | + | 0.601282i | 0.985742 | − | 0.168264i | \(-0.0538160\pi\) |
−0.638592 | + | 0.769546i | \(0.720483\pi\) | |||||||
\(158\) | 1.25219e8 | − | 7.22951e7i | 0.200928 | − | 0.116006i | ||||
\(159\) | −8.45431e7 | + | 7.73685e6i | −0.132279 | + | 0.0121053i | ||||
\(160\) | −1.00090e8 | + | 1.73361e8i | −0.152726 | + | 0.264529i | ||||
\(161\) | 4.36987e8i | 0.650376i | ||||||||
\(162\) | 4.80909e8 | + | 7.68988e7i | 0.698237 | + | 0.111650i | ||||
\(163\) | −5.50818e8 | −0.780293 | −0.390146 | − | 0.920753i | \(-0.627576\pi\) | ||||
−0.390146 | + | 0.920753i | \(0.627576\pi\) | |||||||
\(164\) | 1.97059e8 | + | 1.13772e8i | 0.272408 | + | 0.157275i | ||||
\(165\) | 7.75022e7 | + | 8.46892e8i | 0.104563 | + | 1.14259i | ||||
\(166\) | −1.82365e8 | − | 3.15866e8i | −0.240165 | − | 0.415978i | ||||
\(167\) | 5.25550e8 | − | 3.03427e8i | 0.675691 | − | 0.390111i | −0.122538 | − | 0.992464i | \(-0.539103\pi\) |
0.798230 | + | 0.602353i | \(0.205770\pi\) | |||||||
\(168\) | 2.02107e8 | − | 4.37978e8i | 0.253714 | − | 0.549813i | ||||
\(169\) | 3.73982e8 | − | 6.47756e8i | 0.458463 | − | 0.794081i | ||||
\(170\) | − | 1.07287e9i | − | 1.28455i | ||||||
\(171\) | −7.97744e8 | + | 1.47242e8i | −0.932995 | + | 0.172206i | ||||
\(172\) | −1.35354e8 | −0.154652 | ||||||||
\(173\) | −8.26617e8 | − | 4.77248e8i | −0.922826 | − | 0.532794i | −0.0382907 | − | 0.999267i | \(-0.512191\pi\) |
−0.884536 | + | 0.466473i | \(0.845525\pi\) | |||||||
\(174\) | −3.72448e8 | + | 2.63014e8i | −0.406321 | + | 0.286933i | ||||
\(175\) | 1.59477e9 | + | 2.76222e9i | 1.70038 | + | 2.94514i | ||||
\(176\) | −1.37946e8 | + | 7.96429e7i | −0.143766 | + | 0.0830035i | ||||
\(177\) | −4.69413e8 | − | 6.64726e8i | −0.478258 | − | 0.677251i | ||||
\(178\) | −1.18844e8 | + | 2.05844e8i | −0.118385 | + | 0.205049i | ||||
\(179\) | 9.44019e8i | 0.919536i | 0.888039 | + | 0.459768i | \(0.152067\pi\) | ||||
−0.888039 | + | 0.459768i | \(0.847933\pi\) | |||||||
\(180\) | −8.54692e8 | − | 3.03375e8i | −0.814178 | − | 0.288994i | ||||
\(181\) | −8.68230e8 | −0.808948 | −0.404474 | − | 0.914550i | \(-0.632545\pi\) | ||||
−0.404474 | + | 0.914550i | \(0.632545\pi\) | |||||||
\(182\) | 3.31677e8 | + | 1.91494e8i | 0.302294 | + | 0.174530i | ||||
\(183\) | −6.11573e8 | − | 2.82214e8i | −0.545311 | − | 0.251637i | ||||
\(184\) | 7.69451e7 | + | 1.33273e8i | 0.0671289 | + | 0.116271i | ||||
\(185\) | 1.12366e9 | − | 6.48744e8i | 0.959284 | − | 0.553843i | ||||
\(186\) | 1.05492e9 | − | 9.65397e7i | 0.881390 | − | 0.0806593i | ||||
\(187\) | 4.26845e8 | − | 7.39318e8i | 0.349063 | − | 0.604595i | ||||
\(188\) | − | 5.62665e8i | − | 0.450420i | ||||||
\(189\) | 2.11754e9 | + | 5.40291e8i | 1.65953 | + | 0.423429i | ||||
\(190\) | 1.51067e9 | 1.15919 | ||||||||
\(191\) | −6.09956e7 | − | 3.52159e7i | −0.0458316 | − | 0.0264609i | 0.476909 | − | 0.878953i | \(-0.341757\pi\) |
−0.522741 | + | 0.852492i | \(0.675090\pi\) | |||||||
\(192\) | −1.54807e7 | − | 1.69162e8i | −0.0113916 | − | 0.124480i | ||||
\(193\) | −1.36871e9 | − | 2.37068e9i | −0.986467 | − | 1.70861i | −0.635225 | − | 0.772327i | \(-0.719093\pi\) |
−0.351242 | − | 0.936285i | \(-0.614241\pi\) | |||||||
\(194\) | −8.75254e8 | + | 5.05328e8i | −0.617913 | + | 0.356752i | ||||
\(195\) | 3.01717e8 | − | 6.53838e8i | 0.208671 | − | 0.452201i | ||||
\(196\) | 7.13294e8 | − | 1.23546e9i | 0.483331 | − | 0.837154i | ||||
\(197\) | 5.47276e8i | 0.363364i | 0.983357 | + | 0.181682i | \(0.0581541\pi\) | ||||
−0.983357 | + | 0.181682i | \(0.941846\pi\) | |||||||
\(198\) | −4.68274e8 | − | 5.49101e8i | −0.304676 | − | 0.357266i | ||||
\(199\) | −2.66467e9 | −1.69915 | −0.849574 | − | 0.527469i | \(-0.823141\pi\) | ||||
−0.849574 | + | 0.527469i | \(0.823141\pi\) | |||||||
\(200\) | 9.72749e8 | + | 5.61617e8i | 0.607968 | + | 0.351011i | ||||
\(201\) | −8.19368e8 | + | 5.78617e8i | −0.501990 | + | 0.354493i | ||||
\(202\) | −2.01465e8 | − | 3.48948e8i | −0.121003 | − | 0.209583i | ||||
\(203\) | −1.77188e9 | + | 1.02299e9i | −1.04340 | + | 0.602405i | ||||
\(204\) | 5.25165e8 | + | 7.43676e8i | 0.303232 | + | 0.429401i | ||||
\(205\) | 9.59891e8 | − | 1.66258e9i | 0.543509 | − | 0.941385i | ||||
\(206\) | − | 9.84972e7i | − | 0.0546959i | ||||||
\(207\) | −5.30501e8 | + | 4.52411e8i | −0.288938 | + | 0.246406i | ||||
\(208\) | 1.34874e8 | 0.0720567 | ||||||||
\(209\) | 1.04101e9 | + | 6.01029e8i | 0.545595 | + | 0.315000i | ||||
\(210\) | −3.69521e9 | − | 1.70518e9i | −1.90004 | − | 0.876782i | ||||
\(211\) | −9.39137e8 | − | 1.62663e9i | −0.473804 | − | 0.820653i | 0.525746 | − | 0.850642i | \(-0.323786\pi\) |
−0.999550 | + | 0.0299884i | \(0.990453\pi\) | |||||||
\(212\) | −1.16184e8 | + | 6.70786e7i | −0.0575176 | + | 0.0332078i | ||||
\(213\) | 1.36788e9 | − | 1.25179e8i | 0.664551 | − | 0.0608155i | ||||
\(214\) | −1.32563e9 | + | 2.29606e9i | −0.632074 | + | 1.09478i | ||||
\(215\) | 1.14198e9i | 0.534446i | ||||||||
\(216\) | 7.40946e8 | − | 2.08080e8i | 0.340386 | − | 0.0955906i | ||||
\(217\) | 4.75349e9 | 2.14375 | ||||||||
\(218\) | 2.61107e9 | + | 1.50750e9i | 1.15609 | + | 0.667471i | ||||
\(219\) | −1.79182e8 | − | 1.95798e9i | −0.0778964 | − | 0.851200i | ||||
\(220\) | 6.71945e8 | + | 1.16384e9i | 0.286842 | + | 0.496826i | ||||
\(221\) | −6.26011e8 | + | 3.61427e8i | −0.262430 | + | 0.151514i | ||||
\(222\) | −4.61324e8 | + | 9.99716e8i | −0.189930 | + | 0.411590i | ||||
\(223\) | 1.45052e9 | − | 2.51237e9i | 0.586548 | − | 1.01593i | −0.408132 | − | 0.912923i | \(-0.633820\pi\) |
0.994680 | − | 0.103009i | \(-0.0328470\pi\) | |||||||
\(224\) | − | 7.62249e8i | − | 0.302765i | ||||||
\(225\) | −1.70227e9 | + | 4.79577e9i | −0.664198 | + | 1.87123i | ||||
\(226\) | −3.23411e9 | −1.23971 | ||||||||
\(227\) | 3.60966e9 | + | 2.08404e9i | 1.35945 | + | 0.784877i | 0.989549 | − | 0.144195i | \(-0.0460594\pi\) |
0.369898 | + | 0.929072i | \(0.379393\pi\) | |||||||
\(228\) | −1.04715e9 | + | 7.39470e8i | −0.387497 | + | 0.273641i | ||||
\(229\) | 1.80018e9 | + | 3.11801e9i | 0.654599 | + | 1.13380i | 0.981994 | + | 0.188911i | \(0.0604957\pi\) |
−0.327396 | + | 0.944887i | \(0.606171\pi\) | |||||||
\(230\) | 1.12442e9 | − | 6.49184e8i | 0.401807 | − | 0.231983i | ||||
\(231\) | −1.86798e9 | − | 2.64520e9i | −0.656030 | − | 0.928991i | ||||
\(232\) | −3.60260e8 | + | 6.23988e8i | −0.124355 | + | 0.215389i | ||||
\(233\) | 2.86365e9i | 0.971618i | 0.874065 | + | 0.485809i | \(0.161475\pi\) | ||||
−0.874065 | + | 0.485809i | \(0.838525\pi\) | |||||||
\(234\) | 1.10912e8 | + | 6.00908e8i | 0.0369925 | + | 0.200422i | ||||
\(235\) | −4.74719e9 | −1.55656 | ||||||||
\(236\) | −1.11366e9 | − | 6.42973e8i | −0.359009 | − | 0.207274i | ||||
\(237\) | 9.39937e8 | + | 4.33739e8i | 0.297924 | + | 0.137479i | ||||
\(238\) | 2.04263e9 | + | 3.53795e9i | 0.636624 | + | 1.10266i | ||||
\(239\) | 1.21500e9 | − | 7.01479e8i | 0.372378 | − | 0.214992i | −0.302119 | − | 0.953270i | \(-0.597694\pi\) |
0.674497 | + | 0.738278i | \(0.264361\pi\) | |||||||
\(240\) | −1.42722e9 | + | 1.30610e8i | −0.430176 | + | 0.0393670i | ||||
\(241\) | 2.21808e9 | − | 3.84182e9i | 0.657519 | − | 1.13886i | −0.323737 | − | 0.946147i | \(-0.604939\pi\) |
0.981256 | − | 0.192709i | \(-0.0617273\pi\) | |||||||
\(242\) | − | 1.35585e9i | − | 0.395320i | ||||||
\(243\) | 1.53637e9 | + | 3.13005e9i | 0.440627 | + | 0.897690i | ||||
\(244\) | −1.06437e9 | −0.300285 | ||||||||
\(245\) | −1.04236e10 | − | 6.01805e9i | −2.89303 | − | 1.67029i | ||||
\(246\) | 1.48464e8 | + | 1.62231e9i | 0.0405396 | + | 0.442990i | ||||
\(247\) | −5.08916e8 | − | 8.81468e8i | −0.136728 | − | 0.236820i | ||||
\(248\) | 1.44973e9 | − | 8.37001e8i | 0.383248 | − | 0.221268i | ||||
\(249\) | 1.09411e9 | − | 2.37100e9i | 0.284619 | − | 0.616786i | ||||
\(250\) | 2.35201e9 | − | 4.07381e9i | 0.602116 | − | 1.04290i | ||||
\(251\) | − | 2.42084e9i | − | 0.609916i | −0.952366 | − | 0.304958i | \(-0.901357\pi\) | ||
0.952366 | − | 0.304958i | \(-0.0986425\pi\) | |||||||
\(252\) | 3.39608e9 | − | 6.26825e8i | 0.842123 | − | 0.155433i | ||||
\(253\) | 1.03313e9 | 0.252157 | ||||||||
\(254\) | −8.02210e8 | − | 4.63156e8i | −0.192732 | − | 0.111274i | ||||
\(255\) | 6.27438e9 | − | 4.43081e9i | 1.48392 | − | 1.04791i | ||||
\(256\) | −1.34218e8 | − | 2.32472e8i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.08915e9 | + | 1.20617e9i | −0.478891 | + | 0.276488i | −0.719954 | − | 0.694022i | \(-0.755837\pi\) |
0.241063 | + | 0.970509i | \(0.422504\pi\) | |||||||
\(258\) | −5.58995e8 | − | 7.91581e8i | −0.126162 | − | 0.178656i | ||||
\(259\) | −2.47029e9 | + | 4.27867e9i | −0.548971 | + | 0.950846i | ||||
\(260\) | − | 1.13793e9i | − | 0.249013i | ||||||
\(261\) | −3.07633e9 | − | 1.09195e9i | −0.662935 | − | 0.235310i | ||||
\(262\) | 4.28237e9 | 0.908822 | ||||||||
\(263\) | 5.65030e9 | + | 3.26220e9i | 1.18100 | + | 0.681849i | 0.956245 | − | 0.292567i | \(-0.0945096\pi\) |
0.224752 | + | 0.974416i | \(0.427843\pi\) | |||||||
\(264\) | −1.03547e9 | − | 4.77823e8i | −0.213168 | − | 0.0983674i | ||||
\(265\) | 5.65941e8 | + | 9.80238e8i | 0.114759 | + | 0.198769i | ||||
\(266\) | −4.98168e9 | + | 2.87617e9i | −0.995060 | + | 0.574498i | ||||
\(267\) | −1.69463e9 | + | 1.55082e8i | −0.333450 | + | 0.0305152i | ||||
\(268\) | −7.92554e8 | + | 1.37274e9i | −0.153635 | + | 0.266103i | ||||
\(269\) | − | 6.64127e9i | − | 1.26836i | −0.773186 | − | 0.634180i | \(-0.781338\pi\) | ||
0.773186 | − | 0.634180i | \(-0.218662\pi\) | |||||||
\(270\) | −1.75557e9 | − | 6.25134e9i | −0.330341 | − | 1.17630i | ||||
\(271\) | −2.72229e9 | −0.504728 | −0.252364 | − | 0.967632i | \(-0.581208\pi\) | ||||
−0.252364 | + | 0.967632i | \(0.581208\pi\) | |||||||
\(272\) | 1.24593e9 | + | 7.19339e8i | 0.227624 | + | 0.131419i | ||||
\(273\) | 2.49885e8 | + | 2.73057e9i | 0.0449872 | + | 0.491590i | ||||
\(274\) | 5.46649e8 | + | 9.46823e8i | 0.0969853 | + | 0.167983i | ||||
\(275\) | 6.53045e9 | − | 3.77036e9i | 1.14186 | − | 0.659252i | ||||
\(276\) | −4.61637e8 | + | 1.00039e9i | −0.0795544 | + | 0.172399i | ||||
\(277\) | −5.00946e9 | + | 8.67663e9i | −0.850886 | + | 1.47378i | 0.0295233 | + | 0.999564i | \(0.490601\pi\) |
−0.880410 | + | 0.474214i | \(0.842732\pi\) | |||||||
\(278\) | − | 4.82484e9i | − | 0.807799i | ||||||
\(279\) | 4.92128e9 | + | 5.77073e9i | 0.812198 | + | 0.952388i | ||||
\(280\) | −6.43108e9 | −1.04629 | ||||||||
\(281\) | −6.83019e9 | − | 3.94341e9i | −1.09549 | − | 0.632480i | −0.160456 | − | 0.987043i | \(-0.551296\pi\) |
−0.935032 | + | 0.354563i | \(0.884630\pi\) | |||||||
\(282\) | 3.29060e9 | − | 2.32374e9i | 0.520329 | − | 0.367444i | ||||
\(283\) | 4.86855e8 | + | 8.43258e8i | 0.0759021 | + | 0.131466i | 0.901478 | − | 0.432824i | \(-0.142483\pi\) |
−0.825576 | + | 0.564291i | \(0.809150\pi\) | |||||||
\(284\) | 1.87981e9 | − | 1.08531e9i | 0.288962 | − | 0.166832i | ||||
\(285\) | 6.23889e9 | + | 8.83477e9i | 0.945645 | + | 1.33911i | ||||
\(286\) | 4.52730e8 | − | 7.84152e8i | 0.0676668 | − | 0.117202i | ||||
\(287\) | 7.31016e9i | 1.07746i | ||||||||
\(288\) | 9.25369e8 | − | 7.89155e8i | 0.134507 | − | 0.114708i | ||||
\(289\) | −7.34822e8 | −0.105339 | ||||||||
\(290\) | 5.26458e9 | + | 3.03950e9i | 0.744340 | + | 0.429745i | ||||
\(291\) | −6.56997e9 | − | 3.03175e9i | −0.916203 | − | 0.422787i | ||||
\(292\) | −1.55351e9 | − | 2.69076e9i | −0.213689 | − | 0.370121i | ||||
\(293\) | −4.59420e9 | + | 2.65246e9i | −0.623361 | + | 0.359898i | −0.778176 | − | 0.628046i | \(-0.783855\pi\) |
0.154815 | + | 0.987943i | \(0.450522\pi\) | |||||||
\(294\) | 1.01711e10 | − | 9.30795e8i | 1.36138 | − | 0.124585i | ||||
\(295\) | −5.42475e9 | + | 9.39595e9i | −0.716295 | + | 1.24066i | ||||
\(296\) | 1.73989e9i | 0.226649i | ||||||||
\(297\) | 1.27736e9 | − | 5.00630e9i | 0.164167 | − | 0.643414i | ||||
\(298\) | 4.87854e9 | 0.618621 | ||||||||
\(299\) | −7.57590e8 | − | 4.37395e8i | −0.0947871 | − | 0.0547254i | ||||
\(300\) | 7.32868e8 | + | 8.00828e9i | 0.0904775 | + | 0.988677i | ||||
\(301\) | −2.17422e9 | − | 3.76585e9i | −0.264872 | − | 0.458772i | ||||
\(302\) | −8.23578e9 | + | 4.75493e9i | −0.990095 | + | 0.571632i | ||||
\(303\) | 1.20871e9 | − | 2.61933e9i | 0.143400 | − | 0.310756i | ||||
\(304\) | −1.01288e9 | + | 1.75436e9i | −0.118594 | + | 0.205411i | ||||
\(305\) | 8.98008e9i | 1.03772i | ||||||||
\(306\) | −2.18032e9 | + | 6.14258e9i | −0.248677 | + | 0.700592i | ||||
\(307\) | 1.34241e10 | 1.51124 | 0.755618 | − | 0.655013i | \(-0.227337\pi\) | ||||
0.755618 | + | 0.655013i | \(0.227337\pi\) | |||||||
\(308\) | −4.43169e9 | − | 2.55864e9i | −0.492455 | − | 0.284319i | ||||
\(309\) | 5.76035e8 | − | 4.06782e8i | 0.0631852 | − | 0.0446198i | ||||
\(310\) | −7.06176e9 | − | 1.22313e10i | −0.764656 | − | 1.32442i | ||||
\(311\) | 1.98291e9 | − | 1.14483e9i | 0.211964 | − | 0.122377i | −0.390260 | − | 0.920705i | \(-0.627615\pi\) |
0.602224 | + | 0.798327i | \(0.294282\pi\) | |||||||
\(312\) | 5.57013e8 | + | 7.88774e8i | 0.0587823 | + | 0.0832404i | ||||
\(313\) | 8.94161e9 | − | 1.54873e10i | 0.931619 | − | 1.61361i | 0.151065 | − | 0.988524i | \(-0.451730\pi\) |
0.780555 | − | 0.625088i | \(-0.214937\pi\) | |||||||
\(314\) | 4.77256e9i | 0.490945i | ||||||||
\(315\) | −5.28851e9 | − | 2.86527e10i | −0.537144 | − | 2.91020i | ||||
\(316\) | 1.63585e9 | 0.164057 | ||||||||
\(317\) | 5.77404e9 | + | 3.33364e9i | 0.571798 | + | 0.330128i | 0.757867 | − | 0.652409i | \(-0.226242\pi\) |
−0.186069 | + | 0.982537i | \(0.559575\pi\) | |||||||
\(318\) | −8.72116e8 | − | 4.02442e8i | −0.0852836 | − | 0.0393546i | ||||
\(319\) | 2.41856e9 | + | 4.18908e9i | 0.233558 | + | 0.404535i | ||||
\(320\) | −1.96136e9 | + | 1.13239e9i | −0.187050 | + | 0.107993i | ||||
\(321\) | −1.89026e10 | + | 1.72985e9i | −1.78034 | + | 0.162925i | ||||
\(322\) | −2.47197e9 | + | 4.28158e9i | −0.229943 | + | 0.398272i | ||||
\(323\) | − | 1.08570e10i | − | 0.997474i | ||||||
\(324\) | 4.27692e9 | + | 3.47388e9i | 0.388106 | + | 0.315235i | ||||
\(325\) | −6.38503e9 | −0.572308 | ||||||||
\(326\) | −5.39689e9 | − | 3.11590e9i | −0.477830 | − | 0.275875i | ||||
\(327\) | 1.96718e9 | + | 2.14960e10i | 0.172049 | + | 1.88004i | ||||
\(328\) | 1.28718e9 | + | 2.22946e9i | 0.111210 | + | 0.192622i | ||||
\(329\) | 1.56546e10 | − | 9.03820e9i | 1.33616 | − | 0.771433i | ||||
\(330\) | −4.03138e9 | + | 8.73623e9i | −0.339937 | + | 0.736662i | ||||
\(331\) | −7.84292e9 | + | 1.35843e10i | −0.653380 | + | 1.13169i | 0.328918 | + | 0.944359i | \(0.393316\pi\) |
−0.982297 | + | 0.187328i | \(0.940017\pi\) | |||||||
\(332\) | − | 4.12645e9i | − | 0.339644i | ||||||
\(333\) | −7.75179e9 | + | 1.43077e9i | −0.630413 | + | 0.116357i | ||||
\(334\) | 6.86576e9 | 0.551700 | ||||||||
\(335\) | 1.15818e10 | + | 6.68676e9i | 0.919597 | + | 0.530929i | ||||
\(336\) | 4.45782e9 | − | 3.14800e9i | 0.349756 | − | 0.246989i | ||||
\(337\) | −1.29188e9 | − | 2.23761e9i | −0.100162 | − | 0.173486i | 0.811589 | − | 0.584229i | \(-0.198603\pi\) |
−0.911751 | + | 0.410743i | \(0.865270\pi\) | |||||||
\(338\) | 7.32852e9 | − | 4.23112e9i | 0.561500 | − | 0.324182i | ||||
\(339\) | −1.33565e10 | − | 1.89139e10i | −1.01133 | − | 1.43213i | ||||
\(340\) | 6.06905e9 | − | 1.05119e10i | 0.454156 | − | 0.786621i | ||||
\(341\) | − | 1.12382e10i | − | 0.831152i | ||||||
\(342\) | −8.64919e9 | − | 3.07005e9i | −0.632224 | − | 0.224409i | ||||
\(343\) | 2.21253e10 | 1.59850 | ||||||||
\(344\) | −1.32619e9 | − | 7.65677e8i | −0.0947049 | − | 0.0546779i | ||||
\(345\) | 8.44030e9 | + | 3.89482e9i | 0.595774 | + | 0.274923i | ||||
\(346\) | −5.39944e9 | − | 9.35211e9i | −0.376742 | − | 0.652537i | ||||
\(347\) | 1.45626e10 | − | 8.40775e9i | 1.00444 | − | 0.579912i | 0.0948784 | − | 0.995489i | \(-0.469754\pi\) |
0.909558 | + | 0.415577i | \(0.136420\pi\) | |||||||
\(348\) | −5.13706e9 | + | 4.70111e8i | −0.350266 | + | 0.0320541i | ||||
\(349\) | 1.22366e10 | − | 2.11945e10i | 0.824822 | − | 1.42863i | −0.0772336 | − | 0.997013i | \(-0.524609\pi\) |
0.902055 | − | 0.431620i | \(-0.142058\pi\) | |||||||
\(350\) | 3.60855e10i | 2.40470i | ||||||||
\(351\) | −3.05620e9 | + | 3.13032e9i | −0.201351 | + | 0.206234i | ||||
\(352\) | −1.80211e9 | −0.117385 | ||||||||
\(353\) | −9.05088e9 | − | 5.22553e9i | −0.582897 | − | 0.336536i | 0.179387 | − | 0.983779i | \(-0.442589\pi\) |
−0.762284 | + | 0.647243i | \(0.775922\pi\) | |||||||
\(354\) | −8.39031e8 | − | 9.16836e9i | −0.0534275 | − | 0.583820i | ||||
\(355\) | −9.15672e9 | − | 1.58599e10i | −0.576536 | − | 0.998590i | ||||
\(356\) | −2.32885e9 | + | 1.34456e9i | −0.144991 | + | 0.0837108i | ||||
\(357\) | −1.22549e10 | + | 2.65571e10i | −0.754463 | + | 1.63496i | ||||
\(358\) | −5.34018e9 | + | 9.24946e9i | −0.325105 | + | 0.563098i | ||||
\(359\) | 2.37497e10i | 1.42982i | 0.699219 | + | 0.714908i | \(0.253531\pi\) | ||||
−0.699219 | + | 0.714908i | \(0.746469\pi\) | |||||||
\(360\) | −6.65809e9 | − | 7.80732e9i | −0.396405 | − | 0.464828i | ||||
\(361\) | −1.69607e9 | −0.0998656 | ||||||||
\(362\) | −8.50688e9 | − | 4.91145e9i | −0.495377 | − | 0.286006i | ||||
\(363\) | 7.92931e9 | − | 5.59948e9i | 0.456677 | − | 0.322494i | ||||
\(364\) | 2.16651e9 | + | 3.75250e9i | 0.123411 | + | 0.213754i | ||||
\(365\) | −2.27019e10 | + | 1.31069e10i | −1.27906 | + | 0.738464i | ||||
\(366\) | −4.39573e9 | − | 6.22470e9i | −0.244966 | − | 0.346892i | ||||
\(367\) | −5.17433e9 | + | 8.96220e9i | −0.285226 | + | 0.494027i | −0.972664 | − | 0.232217i | \(-0.925402\pi\) |
0.687438 | + | 0.726243i | \(0.258735\pi\) | |||||||
\(368\) | 1.74107e9i | 0.0949346i | ||||||||
\(369\) | −8.87452e9 | + | 7.56820e9i | −0.478674 | + | 0.408213i | ||||
\(370\) | 1.46794e10 | 0.783252 | ||||||||
\(371\) | −3.73256e9 | − | 2.15499e9i | −0.197020 | − | 0.113750i | ||||
\(372\) | 1.08822e10 | + | 5.02164e9i | 0.568256 | + | 0.262225i | ||||
\(373\) | 4.02672e9 | + | 6.97448e9i | 0.208025 | + | 0.360310i | 0.951092 | − | 0.308907i | \(-0.0999631\pi\) |
−0.743067 | + | 0.669217i | \(0.766630\pi\) | |||||||
\(374\) | 8.36443e9 | − | 4.82920e9i | 0.427513 | − | 0.246825i | ||||
\(375\) | 3.35382e10 | − | 3.06920e9i | 1.69595 | − | 0.155203i | ||||
\(376\) | 3.18291e9 | − | 5.51296e9i | 0.159248 | − | 0.275825i | ||||
\(377\) | − | 4.09580e9i | − | 0.202756i | ||||||
\(378\) | 1.76912e10 | + | 1.72724e10i | 0.866544 | + | 0.846028i | ||||
\(379\) | −2.63218e10 | −1.27573 | −0.637864 | − | 0.770149i | \(-0.720182\pi\) | ||||
−0.637864 | + | 0.770149i | \(0.720182\pi\) | |||||||
\(380\) | 1.48015e10 | + | 8.54565e9i | 0.709858 | + | 0.409837i | ||||
\(381\) | −6.04383e8 | − | 6.60429e9i | −0.0286822 | − | 0.313420i | ||||
\(382\) | −3.98422e8 | − | 6.90087e8i | −0.0187107 | − | 0.0324079i | ||||
\(383\) | −2.64941e10 | + | 1.52964e10i | −1.23127 | + | 0.710876i | −0.967295 | − | 0.253653i | \(-0.918368\pi\) |
−0.263978 | + | 0.964529i | \(0.585035\pi\) | |||||||
\(384\) | 8.05248e8 | − | 1.74502e9i | 0.0370344 | − | 0.0802556i | ||||
\(385\) | −2.15872e10 | + | 3.73901e10i | −0.982547 | + | 1.70182i | ||||
\(386\) | − | 3.09704e10i | − | 1.39508i | ||||||
\(387\) | 2.32077e9 | − | 6.53827e9i | 0.103464 | − | 0.291487i | ||||
\(388\) | −1.14343e10 | −0.504523 | ||||||||
\(389\) | 3.76791e10 | + | 2.17540e10i | 1.64552 | + | 0.950039i | 0.978824 | + | 0.204704i | \(0.0656233\pi\) |
0.666691 | + | 0.745334i | \(0.267710\pi\) | |||||||
\(390\) | 6.65487e9 | − | 4.69951e9i | 0.287661 | − | 0.203139i | ||||
\(391\) | −4.66562e9 | − | 8.08109e9i | −0.199619 | − | 0.345751i | ||||
\(392\) | 1.39777e10 | − | 8.07001e9i | 0.591957 | − | 0.341767i | ||||
\(393\) | 1.76857e10 | + | 2.50443e10i | 0.741398 | + | 1.04988i | ||||
\(394\) | −3.09586e9 | + | 5.36219e9i | −0.128468 | + | 0.222514i | ||||
\(395\) | − | 1.38016e10i | − | 0.566947i | ||||||
\(396\) | −1.48194e9 | − | 8.02902e9i | −0.0602629 | − | 0.326499i | ||||
\(397\) | 4.31419e10 | 1.73675 | 0.868375 | − | 0.495908i | \(-0.165165\pi\) | ||||
0.868375 | + | 0.495908i | \(0.165165\pi\) | |||||||
\(398\) | −2.61083e10 | − | 1.50737e10i | −1.04051 | − | 0.600740i | ||||
\(399\) | −3.73943e10 | − | 1.72558e10i | −1.47541 | − | 0.680838i | ||||
\(400\) | 6.35397e9 | + | 1.10054e10i | 0.248202 | + | 0.429899i | ||||
\(401\) | −1.57455e10 | + | 9.09069e9i | −0.608948 | + | 0.351576i | −0.772554 | − | 0.634950i | \(-0.781021\pi\) |
0.163606 | + | 0.986526i | \(0.447688\pi\) | |||||||
\(402\) | −1.13013e10 | + | 1.03422e9i | −0.432737 | + | 0.0396013i | ||||
\(403\) | −4.75794e9 | + | 8.24099e9i | −0.180384 | + | 0.312434i | ||||
\(404\) | − | 4.55864e9i | − | 0.171124i | ||||||
\(405\) | 2.93091e10 | − | 3.60843e10i | 1.08939 | − | 1.34121i | ||||
\(406\) | −2.31477e10 | −0.851930 | ||||||||
\(407\) | 1.01157e10 | + | 5.84028e9i | 0.368652 | + | 0.212841i | ||||
\(408\) | 9.38682e8 | + | 1.02573e10i | 0.0338749 | + | 0.370162i | ||||
\(409\) | 3.23724e9 | + | 5.60707e9i | 0.115686 | + | 0.200374i | 0.918054 | − | 0.396456i | \(-0.129760\pi\) |
−0.802368 | + | 0.596830i | \(0.796427\pi\) | |||||||
\(410\) | 1.88099e10 | − | 1.08599e10i | 0.665659 | − | 0.384319i | ||||
\(411\) | −3.27965e9 | + | 7.10720e9i | −0.114937 | + | 0.249076i | ||||
\(412\) | 5.57184e8 | − | 9.65071e8i | 0.0193379 | − | 0.0334943i | ||||
\(413\) | − | 4.13128e10i | − | 1.41999i | ||||||
\(414\) | −7.75705e9 | + | 1.43174e9i | −0.264055 | + | 0.0487375i | ||||
\(415\) | −3.48148e10 | −1.17374 | ||||||||
\(416\) | 1.32149e9 | + | 7.62961e8i | 0.0441255 | + | 0.0254759i | ||||
\(417\) | 2.82168e10 | − | 1.99260e10i | 0.933176 | − | 0.658985i | ||||
\(418\) | 6.79986e9 | + | 1.17777e10i | 0.222738 | + | 0.385794i | ||||
\(419\) | −3.28096e10 | + | 1.89427e10i | −1.06450 | + | 0.614589i | −0.926673 | − | 0.375868i | \(-0.877345\pi\) |
−0.137826 | + | 0.990456i | \(0.544011\pi\) | |||||||
\(420\) | −2.65596e10 | − | 3.76105e10i | −0.853541 | − | 1.20868i | ||||
\(421\) | 2.38781e10 | − | 4.13581e10i | 0.760102 | − | 1.31654i | −0.182696 | − | 0.983170i | \(-0.558482\pi\) |
0.942798 | − | 0.333366i | \(-0.108184\pi\) | |||||||
\(422\) | − | 2.12502e10i | − | 0.670061i | ||||||
\(423\) | 2.71795e10 | + | 9.64744e9i | 0.848947 | + | 0.301336i | ||||
\(424\) | −1.51782e9 | −0.0469630 | ||||||||
\(425\) | −5.89834e10 | − | 3.40541e10i | −1.80790 | − | 1.04379i | ||||
\(426\) | 1.41105e10 | + | 6.51138e9i | 0.428454 | + | 0.197713i | ||||
\(427\) | −1.70972e10 | − | 2.96133e10i | −0.514297 | − | 0.890789i | ||||
\(428\) | −2.59770e10 | + | 1.49978e10i | −0.774130 | + | 0.446944i | ||||
\(429\) | 6.45563e9 | − | 5.90779e8i | 0.190594 | − | 0.0174420i | ||||
\(430\) | −6.46000e9 | + | 1.11890e10i | −0.188955 | + | 0.327280i | ||||
\(431\) | − | 2.73395e10i | − | 0.792285i | −0.918189 | − | 0.396143i | \(-0.870349\pi\) | ||
0.918189 | − | 0.396143i | \(-0.129651\pi\) | |||||||
\(432\) | 8.43683e9 | + | 2.15266e9i | 0.242239 | + | 0.0618075i | ||||
\(433\) | −6.96958e9 | −0.198269 | −0.0991345 | − | 0.995074i | \(-0.531607\pi\) | ||||
−0.0991345 | + | 0.995074i | \(0.531607\pi\) | |||||||
\(434\) | 4.65745e10 | + | 2.68898e10i | 1.31277 | + | 0.757930i | ||||
\(435\) | 3.96632e9 | + | 4.33413e10i | 0.110772 | + | 1.21044i | ||||
\(436\) | 1.70555e10 | + | 2.95409e10i | 0.471973 | + | 0.817482i | ||||
\(437\) | 1.13788e10 | − | 6.56953e9i | 0.312010 | − | 0.180139i | ||||
\(438\) | 9.32038e9 | − | 2.01978e10i | 0.253243 | − | 0.548792i | ||||
\(439\) | 4.26214e9 | − | 7.38223e9i | 0.114754 | − | 0.198760i | −0.802927 | − | 0.596077i | \(-0.796725\pi\) |
0.917682 | + | 0.397317i | \(0.130059\pi\) | |||||||
\(440\) | 1.52044e10i | 0.405656i | ||||||||
\(441\) | 4.74489e10 | + | 5.56389e10i | 1.25450 | + | 1.47104i | ||||
\(442\) | −8.17817e9 | −0.214273 | ||||||||
\(443\) | −1.77214e10 | − | 1.02315e10i | −0.460134 | − | 0.265658i | 0.251967 | − | 0.967736i | \(-0.418923\pi\) |
−0.712101 | + | 0.702077i | \(0.752256\pi\) | |||||||
\(444\) | −1.01753e10 | + | 7.18553e9i | −0.261827 | + | 0.184896i | ||||
\(445\) | 1.13441e10 | + | 1.96485e10i | 0.289287 | + | 0.501060i | ||||
\(446\) | 2.84242e10 | − | 1.64107e10i | 0.718372 | − | 0.414752i | ||||
\(447\) | 2.01478e10 | + | 2.85309e10i | 0.504658 | + | 0.714636i | ||||
\(448\) | 4.31193e9 | − | 7.46849e9i | 0.107043 | − | 0.185405i | ||||
\(449\) | 1.52992e10i | 0.376430i | 0.982128 | + | 0.188215i | \(0.0602702\pi\) | ||||
−0.982128 | + | 0.188215i | \(0.939730\pi\) | |||||||
\(450\) | −4.38077e10 | + | 3.73592e10i | −1.06832 | + | 0.911062i | ||||
\(451\) | 1.72827e10 | 0.417740 | ||||||||
\(452\) | −3.16877e10 | − | 1.82949e10i | −0.759166 | − | 0.438305i | ||||
\(453\) | −6.18207e10 | − | 2.85275e10i | −1.46805 | − | 0.677440i | ||||
\(454\) | 2.35782e10 | + | 4.08386e10i | 0.554992 | + | 0.961274i | ||||
\(455\) | 3.16597e10 | − | 1.82788e10i | 0.738689 | − | 0.426483i | ||||
\(456\) | −1.44430e10 | + | 1.32173e9i | −0.334039 | + | 0.0305692i | ||||
\(457\) | −1.20106e10 | + | 2.08029e10i | −0.275359 | + | 0.476935i | −0.970226 | − | 0.242203i | \(-0.922130\pi\) |
0.694867 | + | 0.719138i | \(0.255463\pi\) | |||||||
\(458\) | 4.07335e10i | 0.925742i | ||||||||
\(459\) | −4.49278e10 | + | 1.26171e10i | −1.01219 | + | 0.284255i | ||||
\(460\) | 1.46894e10 | 0.328074 | ||||||||
\(461\) | 4.96796e10 | + | 2.86825e10i | 1.09995 | + | 0.635058i | 0.936209 | − | 0.351445i | \(-0.114310\pi\) |
0.163744 | + | 0.986503i | \(0.447643\pi\) | |||||||
\(462\) | −3.33883e9 | − | 3.64845e10i | −0.0732869 | − | 0.800830i | ||||
\(463\) | 3.03202e10 | + | 5.25162e10i | 0.659795 | + | 1.14280i | 0.980669 | + | 0.195676i | \(0.0626900\pi\) |
−0.320874 | + | 0.947122i | \(0.603977\pi\) | |||||||
\(464\) | −7.05962e9 | + | 4.07587e9i | −0.152303 | + | 0.0879324i | ||||
\(465\) | 4.23675e10 | − | 9.18128e10i | 0.906194 | − | 1.96377i | ||||
\(466\) | −1.61992e10 | + | 2.80579e10i | −0.343519 | + | 0.594992i | ||||
\(467\) | 1.01091e10i | 0.212543i | 0.994337 | + | 0.106271i | \(0.0338912\pi\) | ||||
−0.994337 | + | 0.106271i | \(0.966109\pi\) | |||||||
\(468\) | −2.31254e9 | + | 6.51509e9i | −0.0482066 | + | 0.135812i | ||||
\(469\) | −5.09238e10 | −1.05252 | ||||||||
\(470\) | −4.65128e10 | − | 2.68542e10i | −0.953193 | − | 0.550326i | ||||
\(471\) | −2.79111e10 | + | 1.97101e10i | −0.567143 | + | 0.400502i | ||||
\(472\) | −7.27441e9 | − | 1.25996e10i | −0.146565 | − | 0.253858i | ||||
\(473\) | −8.90324e9 | + | 5.14029e9i | −0.177870 | + | 0.102693i | ||||
\(474\) | 6.75587e9 | + | 9.56684e9i | 0.133834 | + | 0.189520i | ||||
\(475\) | 4.79505e10 | − | 8.30528e10i | 0.941931 | − | 1.63147i | ||||
\(476\) | 4.62195e10i | 0.900322i | ||||||||
\(477\) | −1.24815e9 | − | 6.76238e9i | −0.0241099 | − | 0.130625i | ||||
\(478\) | 1.58727e10 | 0.304045 | ||||||||
\(479\) | 1.87971e10 | + | 1.08525e10i | 0.357067 | + | 0.206153i | 0.667793 | − | 0.744347i | \(-0.267239\pi\) |
−0.310727 | + | 0.950499i | \(0.600572\pi\) | |||||||
\(480\) | −1.47227e10 | − | 6.79386e9i | −0.277346 | − | 0.127983i | ||||
\(481\) | −4.94520e9 | − | 8.56534e9i | −0.0923855 | − | 0.160016i | ||||
\(482\) | 4.34652e10 | − | 2.50947e10i | 0.805293 | − | 0.464936i | ||||
\(483\) | −3.52486e10 | + | 3.22573e9i | −0.647670 | + | 0.0592706i | ||||
\(484\) | 7.66982e9 | − | 1.32845e10i | 0.139767 | − | 0.242083i | ||||
\(485\) | 9.64707e10i | 1.74353i | ||||||||
\(486\) | −2.65293e9 | + | 3.93592e10i | −0.0475533 | + | 0.705506i | ||||
\(487\) | −5.82792e9 | −0.103609 | −0.0518045 | − | 0.998657i | \(-0.516497\pi\) | ||||
−0.0518045 | + | 0.998657i | \(0.516497\pi\) | |||||||
\(488\) | −1.04287e10 | − | 6.02100e9i | −0.183886 | − | 0.106167i | ||||
\(489\) | −4.06601e9 | − | 4.44306e10i | −0.0711103 | − | 0.777046i | ||||
\(490\) | −6.80865e10 | − | 1.17929e11i | −1.18107 | − | 2.04568i | ||||
\(491\) | −2.15718e10 | + | 1.24545e10i | −0.371159 | + | 0.214288i | −0.673964 | − | 0.738764i | \(-0.735410\pi\) |
0.302806 | + | 0.953052i | \(0.402077\pi\) | |||||||
\(492\) | −7.72253e9 | + | 1.67352e10i | −0.131795 | + | 0.285607i | ||||
\(493\) | 2.18446e10 | − | 3.78360e10i | 0.369791 | − | 0.640497i | ||||
\(494\) | − | 1.15154e10i | − | 0.193363i | ||||||
\(495\) | −6.77407e10 | + | 1.25031e10i | −1.12831 | + | 0.208256i | ||||
\(496\) | 1.89392e10 | 0.312921 | ||||||||
\(497\) | 6.03915e10 | + | 3.48670e10i | 0.989806 | + | 0.571465i | ||||
\(498\) | 2.41325e10 | − | 1.70417e10i | 0.392360 | − | 0.277075i | ||||
\(499\) | −8.19755e9 | − | 1.41986e10i | −0.132215 | − | 0.229004i | 0.792315 | − | 0.610112i | \(-0.208876\pi\) |
−0.924530 | + | 0.381109i | \(0.875542\pi\) | |||||||
\(500\) | 4.60899e10 | − | 2.66100e10i | 0.737438 | − | 0.425760i | ||||
\(501\) | 2.83548e10 | + | 4.01526e10i | 0.450065 | + | 0.637328i | ||||
\(502\) | 1.36943e10 | − | 2.37192e10i | 0.215638 | − | 0.373496i | ||||
\(503\) | − | 4.61285e10i | − | 0.720606i | −0.932835 | − | 0.360303i | \(-0.882673\pi\) | ||
0.932835 | − | 0.360303i | \(-0.117327\pi\) | |||||||
\(504\) | 3.68205e10 | + | 1.30695e10i | 0.570647 | + | 0.202552i | ||||
\(505\) | −3.84612e10 | −0.591367 | ||||||||
\(506\) | 1.01225e10 | + | 5.84424e9i | 0.154414 | + | 0.0891509i | ||||
\(507\) | 5.50105e10 | + | 2.53849e10i | 0.832557 | + | 0.384188i | ||||
\(508\) | −5.24001e9 | − | 9.07597e9i | −0.0786824 | − | 0.136282i | ||||
\(509\) | −6.69443e9 | + | 3.86503e9i | −0.0997339 | + | 0.0575814i | −0.549037 | − | 0.835798i | \(-0.685006\pi\) |
0.449303 | + | 0.893379i | \(0.351672\pi\) | |||||||
\(510\) | 8.65405e10 | − | 7.91964e9i | 1.27920 | − | 0.117064i | ||||
\(511\) | 4.99087e10 | − | 8.64444e10i | 0.731969 | − | 1.26781i | ||||
\(512\) | − | 3.03700e9i | − | 0.0441942i | ||||||
\(513\) | −1.77657e10 | − | 6.32615e10i | −0.256516 | − | 0.913419i | ||||
\(514\) | −2.72925e10 | −0.391013 | ||||||||
\(515\) | −8.14229e9 | − | 4.70095e9i | −0.115749 | − | 0.0668278i | ||||
\(516\) | −9.99150e8 | − | 1.09180e10i | −0.0140939 | − | 0.154009i | ||||
\(517\) | −2.13681e10 | − | 3.70107e10i | −0.299092 | − | 0.518042i | ||||
\(518\) | −4.84077e10 | + | 2.79482e10i | −0.672349 | + | 0.388181i | ||||
\(519\) | 3.23943e10 | − | 7.02003e10i | 0.446477 | − | 0.967541i | ||||
\(520\) | 6.43709e9 | − | 1.11494e10i | 0.0880392 | − | 0.152488i | ||||
\(521\) | 3.97902e10i | 0.540039i | 0.962855 | + | 0.270019i | \(0.0870301\pi\) | ||||
−0.962855 | + | 0.270019i | \(0.912970\pi\) | |||||||
\(522\) | −2.39648e10 | − | 2.81013e10i | −0.322769 | − | 0.378481i | ||||
\(523\) | −3.49978e10 | −0.467772 | −0.233886 | − | 0.972264i | \(-0.575144\pi\) | ||||
−0.233886 | + | 0.972264i | \(0.575144\pi\) | |||||||
\(524\) | 4.19585e10 | + | 2.42247e10i | 0.556538 | + | 0.321317i | ||||
\(525\) | −2.11037e11 | + | 1.49029e11i | −2.77792 | + | 1.96170i | ||||
\(526\) | 3.69076e10 | + | 6.39259e10i | 0.482140 | + | 0.835091i | ||||
\(527\) | −8.79053e10 | + | 5.07521e10i | −1.13965 | + | 0.657979i | ||||
\(528\) | −7.44251e9 | − | 1.05392e10i | −0.0957599 | − | 0.135604i | ||||
\(529\) | −3.35092e10 | + | 5.80397e10i | −0.427899 | + | 0.741143i | ||||
\(530\) | 1.28058e10i | 0.162294i | ||||||||
\(531\) | 5.01537e10 | − | 4.27711e10i | 0.630848 | − | 0.537988i | ||||
\(532\) | −6.50804e10 | −0.812463 | ||||||||
\(533\) | −1.26734e10 | − | 7.31699e9i | −0.157031 | − | 0.0906617i | ||||
\(534\) | −1.74812e10 | − | 8.06681e9i | −0.214984 | − | 0.0992057i | ||||
\(535\) | 1.26536e11 | + | 2.19167e11i | 1.54454 | + | 2.67523i | ||||
\(536\) | −1.55308e10 | + | 8.96673e9i | −0.188163 | + | 0.108636i | ||||
\(537\) | −7.61474e10 | + | 6.96853e9i | −0.915709 | + | 0.0838000i | ||||
\(538\) | 3.75687e10 | − | 6.50709e10i | 0.448433 | − | 0.776708i | ||||
\(539\) | − | 1.08354e11i | − | 1.28378i | ||||||
\(540\) | 1.81620e10 | − | 7.11814e10i | 0.213593 | − | 0.837127i | ||||
\(541\) | 2.34001e10 | 0.273168 | 0.136584 | − | 0.990629i | \(-0.456388\pi\) | ||||
0.136584 | + | 0.990629i | \(0.456388\pi\) | |||||||
\(542\) | −2.66729e10 | − | 1.53996e10i | −0.309081 | − | 0.178448i | ||||
\(543\) | −6.40907e9 | − | 7.00340e10i | −0.0737218 | − | 0.805582i | ||||
\(544\) | 8.13839e9 | + | 1.40961e10i | 0.0929272 | + | 0.160955i | ||||
\(545\) | 2.49236e11 | − | 1.43897e11i | 2.82504 | − | 1.63104i | ||||
\(546\) | −1.29981e10 | + | 2.81676e10i | −0.146254 | + | 0.316942i | ||||
\(547\) | −1.16091e10 | + | 2.01075e10i | −0.129673 | + | 0.224600i | −0.923550 | − | 0.383478i | \(-0.874726\pi\) |
0.793877 | + | 0.608078i | \(0.208059\pi\) | |||||||
\(548\) | 1.23692e10i | 0.137158i | ||||||||
\(549\) | 1.82497e10 | − | 5.14145e10i | 0.200894 | − | 0.565974i | ||||
\(550\) | 8.53134e10 | 0.932324 | ||||||||
\(551\) | 5.32757e10 | + | 3.07588e10i | 0.577994 | + | 0.333705i | ||||
\(552\) | −1.01822e10 | + | 7.19040e9i | −0.109669 | + | 0.0774456i | ||||
\(553\) | 2.62770e10 | + | 4.55131e10i | 0.280980 | + | 0.486671i | ||||
\(554\) | −9.81649e10 | + | 5.66755e10i | −1.04212 | + | 0.601667i | ||||
\(555\) | 6.06242e10 | + | 8.58486e10i | 0.638960 | + | 0.904819i | ||||
\(556\) | 2.72934e10 | − | 4.72735e10i | 0.285600 | − | 0.494674i | ||||
\(557\) | − | 3.65617e10i | − | 0.379844i | −0.981799 | − | 0.189922i | \(-0.939176\pi\) | ||
0.981799 | − | 0.189922i | \(-0.0608236\pi\) | |||||||
\(558\) | 1.55744e10 | + | 8.43804e10i | 0.160647 | + | 0.870372i | ||||
\(559\) | 8.70499e9 | 0.0891499 | ||||||||
\(560\) | −6.30115e10 | − | 3.63797e10i | −0.640719 | − | 0.369919i | ||||
\(561\) | 6.27864e10 | + | 2.89731e10i | 0.633891 | + | 0.292512i | ||||
\(562\) | −4.46146e10 | − | 7.72748e10i | −0.447231 | − | 0.774627i | ||||
\(563\) | −1.15433e11 | + | 6.66450e10i | −1.14893 | + | 0.663337i | −0.948627 | − | 0.316397i | \(-0.897527\pi\) |
−0.200306 | + | 0.979733i | \(0.564194\pi\) | |||||||
\(564\) | 4.53862e10 | − | 4.15346e9i | 0.448546 | − | 0.0410481i | ||||
\(565\) | −1.54354e11 | + | 2.67348e11i | −1.51469 | + | 2.62352i | ||||
\(566\) | 1.10163e10i | 0.107342i | ||||||||
\(567\) | −2.79503e10 | + | 1.74795e11i | −0.270430 | + | 1.69121i | ||||
\(568\) | 2.45577e10 | 0.235936 | ||||||||
\(569\) | −1.42643e11 | − | 8.23549e10i | −1.36082 | − | 0.785670i | −0.371087 | − | 0.928598i | \(-0.621015\pi\) |
−0.989733 | + | 0.142928i | \(0.954348\pi\) | |||||||
\(570\) | 1.11514e10 | + | 1.21855e11i | 0.105641 | + | 1.15437i | ||||
\(571\) | −6.84597e10 | − | 1.18576e11i | −0.644007 | − | 1.11545i | −0.984530 | − | 0.175216i | \(-0.943937\pi\) |
0.340523 | − | 0.940236i | \(-0.389396\pi\) | |||||||
\(572\) | 8.87167e9 | − | 5.12206e9i | 0.0828745 | − | 0.0478476i | ||||
\(573\) | 2.39036e9 | − | 5.18004e9i | 0.0221740 | − | 0.0480524i | ||||
\(574\) | −4.13525e10 | + | 7.16247e10i | −0.380938 | + | 0.659804i | ||||
\(575\) | − | 8.24235e10i | − | 0.754015i | ||||||
\(576\) | 1.35309e10 | − | 2.49743e9i | 0.122924 | − | 0.0226884i | ||||
\(577\) | −1.01555e11 | −0.916218 | −0.458109 | − | 0.888896i | \(-0.651473\pi\) | ||||
−0.458109 | + | 0.888896i | \(0.651473\pi\) | |||||||
\(578\) | −7.19976e9 | − | 4.15678e9i | −0.0645070 | − | 0.0372431i | ||||
\(579\) | 1.81122e11 | − | 1.27904e11i | 1.61160 | − | 1.13807i | ||||
\(580\) | 3.43881e10 | + | 5.95619e10i | 0.303876 | + | 0.526328i | ||||
\(581\) | 1.14807e11 | − | 6.62840e10i | 1.00755 | − | 0.581707i | ||||
\(582\) | −4.72222e10 | − | 6.68703e10i | −0.411580 | − | 0.582829i | ||||
\(583\) | −5.09485e9 | + | 8.82453e9i | −0.0441018 | + | 0.0763866i | ||||
\(584\) | − | 3.51519e10i | − | 0.302202i | ||||||
\(585\) | 5.49677e10 | + | 1.95109e10i | 0.469336 | + | 0.166592i | ||||
\(586\) | −6.00184e10 | −0.508972 | ||||||||
\(587\) | −3.25669e10 | − | 1.88025e10i | −0.274299 | − | 0.158367i | 0.356541 | − | 0.934280i | \(-0.383956\pi\) |
−0.630840 | + | 0.775913i | \(0.717289\pi\) | |||||||
\(588\) | 1.04921e11 | + | 4.84165e10i | 0.877717 | + | 0.405027i | ||||
\(589\) | −7.14626e10 | − | 1.23777e11i | −0.593769 | − | 1.02844i | ||||
\(590\) | −1.06303e11 | + | 6.13741e10i | −0.877278 | + | 0.506497i | ||||
\(591\) | −4.41449e10 | + | 4.03986e9i | −0.361852 | + | 0.0331144i | ||||
\(592\) | −9.84229e9 | + | 1.70474e10i | −0.0801326 | + | 0.138794i | ||||
\(593\) | 1.30215e11i | 1.05304i | 0.850163 | + | 0.526519i | \(0.176503\pi\) | ||||
−0.850163 | + | 0.526519i | \(0.823497\pi\) | |||||||
\(594\) | 4.08354e10 | − | 4.18256e10i | 0.328013 | − | 0.335967i | ||||
\(595\) | 3.89953e11 | 3.11132 | ||||||||
\(596\) | 4.77998e10 | + | 2.75972e10i | 0.378827 | + | 0.218716i | ||||
\(597\) | −1.96700e10 | − | 2.14940e11i | −0.154848 | − | 1.69208i | ||||
\(598\) | −4.94856e9 | − | 8.57115e9i | −0.0386967 | − | 0.0670246i | ||||
\(599\) | 1.13848e11 | − | 6.57304e10i | 0.884341 | − | 0.510575i | 0.0122537 | − | 0.999925i | \(-0.496099\pi\) |
0.872087 | + | 0.489350i | \(0.162766\pi\) | |||||||
\(600\) | −3.81211e10 | + | 8.26106e10i | −0.294144 | + | 0.637427i | ||||
\(601\) | 2.15092e10 | − | 3.72550e10i | 0.164864 | − | 0.285553i | −0.771743 | − | 0.635935i | \(-0.780615\pi\) |
0.936607 | + | 0.350382i | \(0.113948\pi\) | |||||||
\(602\) | − | 4.91969e10i | − | 0.374586i | ||||||
\(603\) | −5.27213e10 | − | 6.18214e10i | −0.398765 | − | 0.467595i | ||||
\(604\) | −1.07592e11 | −0.808409 | ||||||||
\(605\) | −1.12081e11 | − | 6.47102e10i | −0.836588 | − | 0.483004i | ||||
\(606\) | 2.66600e10 | − | 1.88266e10i | 0.197683 | − | 0.139599i | ||||
\(607\) | −1.29606e10 | − | 2.24485e10i | −0.0954710 | − | 0.165361i | 0.814334 | − | 0.580396i | \(-0.197102\pi\) |
−0.909805 | + | 0.415036i | \(0.863769\pi\) | |||||||
\(608\) | −1.98483e10 | + | 1.14594e10i | −0.145248 | + | 0.0838588i | ||||
\(609\) | −9.55972e10 | − | 1.35373e11i | −0.694986 | − | 0.984156i | ||||
\(610\) | −5.07990e10 | + | 8.79865e10i | −0.366890 | + | 0.635472i | ||||
\(611\) | 3.61866e10i | 0.259646i | ||||||||
\(612\) | −5.61104e10 | + | 4.78510e10i | −0.399980 | + | 0.341103i | ||||
\(613\) | 1.28485e11 | 0.909933 | 0.454967 | − | 0.890508i | \(-0.349651\pi\) | ||||
0.454967 | + | 0.890508i | \(0.349651\pi\) | |||||||
\(614\) | 1.31529e11 | + | 7.59383e10i | 0.925439 | + | 0.534303i | ||||
\(615\) | 1.41194e11 | + | 6.51549e10i | 0.986999 | + | 0.455456i | ||||
\(616\) | −2.89477e10 | − | 5.01389e10i | −0.201044 | − | 0.348219i | ||||
\(617\) | −1.02289e11 | + | 5.90563e10i | −0.705808 | + | 0.407498i | −0.809507 | − | 0.587110i | \(-0.800265\pi\) |
0.103699 | + | 0.994609i | \(0.466932\pi\) | |||||||
\(618\) | 7.94507e9 | − | 7.27083e8i | 0.0544683 | − | 0.00498460i | ||||
\(619\) | −6.40218e10 | + | 1.10889e11i | −0.436079 | + | 0.755312i | −0.997383 | − | 0.0722982i | \(-0.976967\pi\) |
0.561304 | + | 0.827610i | \(0.310300\pi\) | |||||||
\(620\) | − | 1.59789e11i | − | 1.08139i | ||||||
\(621\) | −4.04089e10 | − | 3.94521e10i | −0.271713 | − | 0.265280i | ||||
\(622\) | 2.59046e10 | 0.173068 | ||||||||
\(623\) | −7.48177e10 | − | 4.31960e10i | −0.496652 | − | 0.286742i | ||||
\(624\) | 9.95606e8 | + | 1.08793e10i | 0.00656673 | + | 0.0717568i | ||||
\(625\) | −7.30176e10 | − | 1.26470e11i | −0.478528 | − | 0.828835i | ||||
\(626\) | 1.75219e11 | − | 1.01163e11i | 1.14100 | − | 0.658754i | ||||
\(627\) | −4.07962e10 | + | 8.84077e10i | −0.263967 | + | 0.572032i | ||||
\(628\) | −2.69977e10 | + | 4.67613e10i | −0.173575 | + | 0.300641i | ||||
\(629\) | − | 1.05499e11i | − | 0.673980i | ||||||
\(630\) | 1.10267e11 | − | 3.10654e11i | 0.699978 | − | 1.97203i | ||||
\(631\) | −2.40613e11 | −1.51775 | −0.758877 | − | 0.651233i | \(-0.774252\pi\) | ||||
−0.758877 | + | 0.651233i | \(0.774252\pi\) | |||||||
\(632\) | 1.60280e10 | + | 9.25377e9i | 0.100464 | + | 0.0580030i | ||||
\(633\) | 1.24277e11 | − | 8.77610e10i | 0.774059 | − | 0.546621i | ||||
\(634\) | 3.77159e10 | + | 6.53258e10i | 0.233436 | + | 0.404322i | ||||
\(635\) | −7.65738e10 | + | 4.42099e10i | −0.470961 | + | 0.271910i | ||||
\(636\) | −6.26840e9 | − | 8.87655e9i | −0.0383114 | − | 0.0542520i | ||||
\(637\) | −4.58740e10 | + | 7.94561e10i | −0.278618 | + | 0.482580i | ||||
\(638\) | 5.47259e10i | 0.330301i | ||||||||
\(639\) | 2.01947e10 | + | 1.09413e11i | 0.121125 | + | 0.656244i | ||||
\(640\) | −2.56231e10 | −0.152726 | ||||||||
\(641\) | 1.87111e11 | + | 1.08029e11i | 1.10833 | + | 0.639893i | 0.938396 | − | 0.345563i | \(-0.112312\pi\) |
0.169932 | + | 0.985456i | \(0.445645\pi\) | |||||||
\(642\) | −1.94993e11 | − | 8.99804e10i | −1.14783 | − | 0.529673i | ||||
\(643\) | −1.85669e10 | − | 3.21588e10i | −0.108616 | − | 0.188129i | 0.806594 | − | 0.591106i | \(-0.201309\pi\) |
−0.915210 | + | 0.402977i | \(0.867975\pi\) | |||||||
\(644\) | −4.84405e10 | + | 2.79671e10i | −0.281621 | + | 0.162594i | ||||
\(645\) | −9.21153e10 | + | 8.42981e9i | −0.532222 | + | 0.0487056i | ||||
\(646\) | 6.14167e10 | − | 1.06377e11i | 0.352660 | − | 0.610825i | ||||
\(647\) | 5.88598e10i | 0.335894i | 0.985796 | + | 0.167947i | \(0.0537137\pi\) | ||||
−0.985796 | + | 0.167947i | \(0.946286\pi\) | |||||||
\(648\) | 2.22538e10 | + | 5.82309e10i | 0.126213 | + | 0.330258i | ||||
\(649\) | −9.76719e10 | −0.550543 | ||||||||
\(650\) | −6.25603e10 | − | 3.61192e10i | −0.350465 | − | 0.202341i | ||||
\(651\) | 3.50892e10 | + | 3.83431e11i | 0.195366 | + | 2.13483i | ||||
\(652\) | −3.52523e10 | − | 6.10588e10i | −0.195073 | − | 0.337877i | ||||
\(653\) | −1.48938e11 | + | 8.59893e10i | −0.819129 | + | 0.472925i | −0.850116 | − | 0.526595i | \(-0.823468\pi\) |
0.0309867 | + | 0.999520i | \(0.490135\pi\) | |||||||
\(654\) | −1.02325e11 | + | 2.21745e11i | −0.559335 | + | 1.21211i | ||||
\(655\) | 2.04384e11 | − | 3.54003e11i | 1.11040 | − | 1.92328i | ||||
\(656\) | 2.91256e10i | 0.157275i | ||||||||
\(657\) | 1.56614e11 | − | 2.89067e10i | 0.840559 | − | 0.155145i | ||||
\(658\) | 2.04511e11 | 1.09097 | ||||||||
\(659\) | 2.34850e11 | + | 1.35591e11i | 1.24523 | + | 0.718934i | 0.970154 | − | 0.242489i | \(-0.0779639\pi\) |
0.275075 | + | 0.961423i | \(0.411297\pi\) | |||||||
\(660\) | −8.89189e10 | + | 6.27923e10i | −0.468617 | + | 0.330926i | ||||
\(661\) | 1.21597e11 | + | 2.10613e11i | 0.636968 | + | 1.10326i | 0.986095 | + | 0.166185i | \(0.0531451\pi\) |
−0.349126 | + | 0.937076i | \(0.613522\pi\) | |||||||
\(662\) | −1.53689e11 | + | 8.87325e10i | −0.800223 | + | 0.462009i | ||||
\(663\) | −3.37749e10 | − | 4.78279e10i | −0.174799 | − | 0.247530i | ||||
\(664\) | 2.33427e10 | − | 4.04308e10i | 0.120082 | − | 0.207989i | ||||
\(665\) | 5.49082e11i | 2.80770i | ||||||||
\(666\) | −8.40454e10 | − | 2.98321e10i | −0.427186 | − | 0.151631i | ||||
\(667\) | 5.28721e10 | 0.267130 | ||||||||
\(668\) | 6.72704e10 | + | 3.88386e10i | 0.337846 | + | 0.195055i | ||||
\(669\) | 2.13363e11 | + | 9.84574e10i | 1.06516 | + | 0.491523i | ||||
\(670\) | 7.56521e10 | + | 1.31033e11i | 0.375424 | + | 0.650253i | ||||
\(671\) | −7.00118e10 | + | 4.04213e10i | −0.345367 | + | 0.199398i | ||||
\(672\) | 6.14853e10 | − | 5.62674e9i | 0.301505 | − | 0.0275918i | ||||
\(673\) | 1.44609e10 | − | 2.50471e10i | 0.0704914 | − | 0.122095i | −0.828625 | − | 0.559804i | \(-0.810877\pi\) |
0.899117 | + | 0.437709i | \(0.144210\pi\) | |||||||
\(674\) | − | 2.92320e10i | − | 0.141651i | ||||||
\(675\) | −3.99406e11 | − | 1.01909e11i | −1.92398 | − | 0.490904i | ||||
\(676\) | 9.57394e10 | 0.458463 | ||||||||
\(677\) | 1.58076e11 | + | 9.12654e10i | 0.752509 | + | 0.434462i | 0.826600 | − | 0.562790i | \(-0.190272\pi\) |
−0.0740905 | + | 0.997252i | \(0.523605\pi\) | |||||||
\(678\) | −2.38734e10 | − | 2.60873e11i | −0.112979 | − | 1.23455i | ||||
\(679\) | −1.83671e11 | − | 3.18127e11i | −0.864095 | − | 1.49666i | ||||
\(680\) | 1.18929e11 | − | 6.86634e10i | 0.556225 | − | 0.321137i | ||||
\(681\) | −1.41459e11 | + | 3.06549e11i | −0.657721 | + | 1.42532i | ||||
\(682\) | 6.35730e10 | − | 1.10112e11i | 0.293857 | − | 0.508974i | ||||
\(683\) | − | 3.71514e11i | − | 1.70723i | −0.520903 | − | 0.853616i | \(-0.674405\pi\) | ||
0.520903 | − | 0.853616i | \(-0.325595\pi\) | |||||||
\(684\) | −6.73776e10 | − | 7.90075e10i | −0.307816 | − | 0.360947i | ||||
\(685\) | 1.04359e11 | 0.473989 | ||||||||
\(686\) | 2.16783e11 | + | 1.25159e11i | 0.978876 | + | 0.565155i | ||||
\(687\) | −2.38219e11 | + | 1.68225e11i | −1.06942 | + | 0.755201i | ||||
\(688\) | −8.66264e9 | − | 1.50041e10i | −0.0386631 | − | 0.0669665i | ||||
\(689\) | 7.47209e9 | − | 4.31401e9i | 0.0331562 | − | 0.0191428i | ||||
\(690\) | 6.06653e10 | + | 8.59069e10i | 0.267636 | + | 0.378993i | ||||
\(691\) | −9.88238e10 | + | 1.71168e11i | −0.433460 | + | 0.750775i | −0.997169 | − | 0.0751987i | \(-0.976041\pi\) |
0.563708 | + | 0.825974i | \(0.309374\pi\) | |||||||
\(692\) | − | 1.22175e11i | − | 0.532794i | ||||||
\(693\) | 1.99581e11 | − | 1.70203e11i | 0.865339 | − | 0.737962i | ||||
\(694\) | 1.90246e11 | 0.820119 | ||||||||
\(695\) | −3.98846e11 | − | 2.30274e11i | −1.70949 | − | 0.986973i | ||||
\(696\) | −5.29921e10 | − | 2.44535e10i | −0.225826 | − | 0.104209i | ||||
\(697\) | −7.80492e10 | − | 1.35185e11i | −0.330702 | − | 0.572793i | ||||
\(698\) | 2.39788e11 | − | 1.38442e11i | 1.01020 | − | 0.583237i | ||||
\(699\) | −2.30990e11 | + | 2.11388e10i | −0.967575 | + | 0.0885464i | ||||
\(700\) | −2.04130e11 | + | 3.53564e11i | −0.850189 | + | 1.47257i | ||||
\(701\) | − | 6.70096e10i | − | 0.277501i | −0.990327 | − | 0.138751i | \(-0.955691\pi\) | ||
0.990327 | − | 0.138751i | \(-0.0443087\pi\) | |||||||
\(702\) | −4.76523e10 | + | 1.33822e10i | −0.196217 | + | 0.0551035i | ||||
\(703\) | 1.48551e11 | 0.608209 | ||||||||
\(704\) | −1.76570e10 | − | 1.01943e10i | −0.0718831 | − | 0.0415017i | ||||
\(705\) | −3.50426e10 | − | 3.82922e11i | −0.141854 | − | 1.55008i | ||||
\(706\) | −5.91201e10 | − | 1.02399e11i | −0.237967 | − | 0.412170i | ||||
\(707\) | 1.26832e11 | − | 7.32264e10i | 0.507634 | − | 0.293083i | ||||
\(708\) | 4.36433e10 | − | 9.45775e10i | 0.173694 | − | 0.376405i | ||||
\(709\) | 5.70291e10 | − | 9.87774e10i | 0.225690 | − | 0.390906i | −0.730836 | − | 0.682553i | \(-0.760870\pi\) |
0.956526 | + | 0.291647i | \(0.0942031\pi\) | |||||||
\(710\) | − | 2.07193e11i | − | 0.815345i | ||||||
\(711\) | −2.80483e10 | + | 7.90198e10i | −0.109756 | + | 0.309213i | ||||
\(712\) | −3.04240e10 | −0.118385 | ||||||||
\(713\) | −1.06382e11 | − | 6.14196e10i | −0.411632 | − | 0.237656i | ||||
\(714\) | −2.70303e11 | + | 1.90881e11i | −1.04006 | + | 0.734464i | ||||
\(715\) | −4.32147e10 | − | 7.48501e10i | −0.165351 | − | 0.286397i | ||||
\(716\) | −1.04646e11 | + | 6.04172e10i | −0.398171 | + | 0.229884i | ||||
\(717\) | 6.55522e10 | + | 9.28271e10i | 0.248034 | + | 0.351235i | ||||
\(718\) | −1.34348e11 | + | 2.32698e11i | −0.505516 | + | 0.875580i | ||||
\(719\) | 2.31072e11i | 0.864633i | 0.901722 | + | 0.432317i | \(0.142304\pi\) | ||||
−0.901722 | + | 0.432317i | \(0.857696\pi\) | |||||||
\(720\) | −2.10708e10 | − | 1.14160e11i | −0.0784063 | − | 0.424798i | ||||
\(721\) | 3.58007e10 | 0.132480 | ||||||||
\(722\) | −1.66181e10 | − | 9.59444e9i | −0.0611549 | − | 0.0353078i | ||||
\(723\) | 3.26266e11 | + | 1.50557e11i | 1.19404 | + | 0.550995i | ||||
\(724\) | −5.55667e10 | − | 9.62444e10i | −0.202237 | − | 0.350285i | ||||
\(725\) | 3.34208e11 | − | 1.92955e11i | 1.20966 | − | 0.698400i | ||||
\(726\) | 1.09367e11 | − | 1.00085e10i | 0.393675 | − | 0.0360267i | ||||
\(727\) | 1.70637e11 | − | 2.95551e11i | 0.610850 | − | 1.05802i | −0.380248 | − | 0.924885i | \(-0.624161\pi\) |
0.991097 | − | 0.133138i | \(-0.0425055\pi\) | |||||||
\(728\) | 4.90224e10i | 0.174530i | ||||||||
\(729\) | −2.41138e11 | + | 1.47034e11i | −0.853799 | + | 0.520603i | ||||
\(730\) | −2.96576e11 | −1.04435 | ||||||||
\(731\) | 8.04145e10 | + | 4.64274e10i | 0.281621 | + | 0.162594i | ||||
\(732\) | −7.85694e9 | − | 8.58554e10i | −0.0273659 | − | 0.299036i | ||||
\(733\) | 2.07203e11 | + | 3.58887e11i | 0.717763 | + | 1.24320i | 0.961884 | + | 0.273457i | \(0.0881670\pi\) |
−0.244122 | + | 0.969745i | \(0.578500\pi\) | |||||||
\(734\) | −1.01396e11 | + | 5.85408e10i | −0.349330 | + | 0.201685i | ||||
\(735\) | 4.08489e11 | − | 8.85220e11i | 1.39969 | − | 3.03320i | ||||
\(736\) | −9.84897e9 | + | 1.70589e10i | −0.0335645 | + | 0.0581353i | ||||
\(737\) | 1.20394e11i | 0.408071i | ||||||||
\(738\) | −1.29764e11 | + | 2.39510e10i | −0.437452 | + | 0.0807418i | ||||
\(739\) | 2.71838e11 | 0.911449 | 0.455725 | − | 0.890121i | \(-0.349380\pi\) | ||||
0.455725 | + | 0.890121i | \(0.349380\pi\) | |||||||
\(740\) | 1.43828e11 | + | 8.30392e10i | 0.479642 | + | 0.276921i | ||||
\(741\) | 6.73451e10 | − | 4.75574e10i | 0.223374 | − | 0.157741i | ||||
\(742\) | −2.43810e10 | − | 4.22291e10i | −0.0804332 | − | 0.139314i | ||||
\(743\) | −2.96676e11 | + | 1.71286e11i | −0.973479 | + | 0.562039i | −0.900295 | − | 0.435280i | \(-0.856649\pi\) |
−0.0731842 | + | 0.997318i | \(0.523316\pi\) | |||||||
\(744\) | 7.82165e10 | + | 1.10761e11i | 0.255274 | + | 0.361488i | ||||
\(745\) | 2.32837e11 | − | 4.03286e11i | 0.755835 | − | 1.30914i | ||||
\(746\) | 9.11142e10i | 0.294192i | ||||||||
\(747\) | 1.99328e11 | + | 7.07521e10i | 0.640157 | + | 0.227225i | ||||
\(748\) | 1.09272e11 | 0.349063 | ||||||||
\(749\) | −8.34547e11 | − | 4.81826e11i | −2.65170 | − | 1.53096i | ||||
\(750\) | 3.45967e11 | + | 1.59649e11i | 1.09343 | + | 0.504568i | ||||
\(751\) | −5.25839e10 | − | 9.10780e10i | −0.165308 | − | 0.286321i | 0.771457 | − | 0.636282i | \(-0.219528\pi\) |
−0.936765 | + | 0.349960i | \(0.886195\pi\) | |||||||
\(752\) | 6.23721e10 | − | 3.60105e10i | 0.195038 | − | 0.112605i | ||||
\(753\) | 1.95272e11 | − | 1.78700e10i | 0.607378 | − | 0.0555834i | ||||
\(754\) | 2.31693e10 | − | 4.01304e10i | 0.0716849 | − | 0.124162i | ||||
\(755\) | 9.07750e11i | 2.79369i | ||||||||
\(756\) | 7.56306e10 | + | 2.69311e11i | 0.231532 | + | 0.824454i | ||||
\(757\) | −4.23531e11 | −1.28974 | −0.644869 | − | 0.764293i | \(-0.723088\pi\) | ||||
−0.644869 | + | 0.764293i | \(0.723088\pi\) | |||||||
\(758\) | −2.57900e11 | − | 1.48898e11i | −0.781221 | − | 0.451038i | ||||
\(759\) | 7.62628e9 | + | 8.33349e10i | 0.0229798 | + | 0.251108i | ||||
\(760\) | 9.66830e10 | + | 1.67460e11i | 0.289798 | + | 0.501945i | ||||
\(761\) | 4.62418e11 | − | 2.66977e11i | 1.37878 | − | 0.796041i | 0.386770 | − | 0.922176i | \(-0.373591\pi\) |
0.992013 | + | 0.126135i | \(0.0402574\pi\) | |||||||
\(762\) | 3.14378e10 | − | 6.81275e10i | 0.0932465 | − | 0.202070i | ||||
\(763\) | −5.47931e11 | + | 9.49044e11i | −1.61669 | + | 2.80019i | ||||
\(764\) | − | 9.01526e9i | − | 0.0264609i | ||||||
\(765\) | 4.03718e11 | + | 4.73403e11i | 1.17878 | + | 1.38224i | ||||
\(766\) | −3.46118e11 | −1.00533 | ||||||||
\(767\) | 7.16228e10 | + | 4.13514e10i | 0.206952 | + | 0.119484i | ||||
\(768\) | 1.77611e10 | − | 1.25424e10i | 0.0510535 | − | 0.0360527i | ||||
\(769\) | −5.66789e10 | − | 9.81707e10i | −0.162075 | − | 0.280722i | 0.773538 | − | 0.633750i | \(-0.218485\pi\) |
−0.935613 | + | 0.353028i | \(0.885152\pi\) | |||||||
\(770\) | −4.23021e11 | + | 2.44231e11i | −1.20337 | + | 0.694766i | ||||
\(771\) | −1.12715e11 | − | 1.59613e11i | −0.318980 | − | 0.451701i | ||||
\(772\) | 1.75195e11 | − | 3.03447e11i | 0.493234 | − | 0.854306i | ||||
\(773\) | − | 2.83942e11i | − | 0.795265i | −0.917545 | − | 0.397632i | \(-0.869832\pi\) | ||
0.917545 | − | 0.397632i | \(-0.130168\pi\) | |||||||
\(774\) | 5.97249e10 | − | 5.09334e10i | 0.166415 | − | 0.141919i | ||||
\(775\) | −8.96595e11 | −2.48536 | ||||||||
\(776\) | −1.12032e11 | − | 6.46820e10i | −0.308956 | − | 0.178376i | ||||
\(777\) | −3.63365e11 | − | 1.67677e11i | −0.996918 | − | 0.460033i | ||||
\(778\) | 2.46119e11 | + | 4.26290e11i | 0.671779 | + | 1.16355i | ||||
\(779\) | 1.90350e11 | − | 1.09899e11i | 0.516897 | − | 0.298430i | ||||
\(780\) | 9.17886e10 | − | 8.39991e9i | 0.247976 | − | 0.0226932i | ||||
\(781\) | 8.24328e10 | − | 1.42778e11i | 0.221562 | − | 0.383757i | ||||
\(782\) | − | 1.05571e11i | − | 0.282304i | ||||||
\(783\) | 6.53712e10 | − | 2.56207e11i | 0.173916 | − | 0.681621i | ||||
\(784\) | 1.82603e11 | 0.483331 | ||||||||
\(785\) | 3.94524e11 | + | 2.27779e11i | 1.03895 | + | 0.599839i | ||||
\(786\) | 3.16114e10 | + | 3.45428e11i | 0.0828236 | + | 0.905040i | ||||
\(787\) | 3.25568e11 | + | 5.63900e11i | 0.848678 | + | 1.46995i | 0.882389 | + | 0.470521i | \(0.155934\pi\) |
−0.0337110 | + | 0.999432i | \(0.510733\pi\) | |||||||
\(788\) | −6.06662e10 | + | 3.50257e10i | −0.157341 | + | 0.0908409i | ||||
\(789\) | −2.21430e11 | + | 4.79851e11i | −0.571384 | + | 1.23822i | ||||
\(790\) | 7.80739e10 | − | 1.35228e11i | 0.200446 | − | 0.347183i | ||||
\(791\) | − | 1.17550e12i | − | 3.00273i | ||||||
\(792\) | 3.08990e10 | − | 8.70512e10i | 0.0785315 | − | 0.221245i | ||||
\(793\) | 6.84528e10 | 0.173100 | ||||||||
\(794\) | 4.22703e11 | + | 2.44047e11i | 1.06354 | + | 0.614034i | ||||
\(795\) | −7.48913e10 | + | 5.28863e10i | −0.187483 | + | 0.132396i | ||||
\(796\) | −1.70539e11 | − | 2.95382e11i | −0.424787 | − | 0.735753i | ||||
\(797\) | 4.16469e11 | − | 2.40448e11i | 1.03216 | − | 0.595921i | 0.114561 | − | 0.993416i | \(-0.463454\pi\) |
0.917604 | + | 0.397496i | \(0.130121\pi\) | |||||||
\(798\) | −2.68774e11 | − | 3.80606e11i | −0.662790 | − | 0.938564i | ||||
\(799\) | −1.92998e11 | + | 3.34283e11i | −0.473550 | + | 0.820213i | ||||
\(800\) | 1.43774e11i | 0.351011i | ||||||||
\(801\) | −2.50188e10 | − | 1.35549e11i | −0.0607765 | − | 0.329281i | ||||
\(802\) | −2.05699e11 | −0.497204 | ||||||||
\(803\) | −2.04372e11 | − | 1.17994e11i | −0.491541 | − | 0.283791i | ||||
\(804\) | −1.16580e11 | − | 5.37965e10i | −0.278997 | − | 0.128745i | ||||
\(805\) | 2.35958e11 | + | 4.08692e11i | 0.561890 | + | 0.973223i | ||||
\(806\) | −9.32361e10 | + | 5.38299e10i | −0.220925 | + | 0.127551i | ||||
\(807\) | 5.35705e11 | − | 4.90243e10i | 1.26308 | − | 0.115589i | ||||
\(808\) | 2.57876e10 | − | 4.46654e10i | 0.0605013 | − | 0.104791i | ||||
\(809\) | 1.97505e11i | 0.461089i | 0.973062 | + | 0.230545i | \(0.0740508\pi\) | ||||
−0.973062 | + | 0.230545i | \(0.925949\pi\) | |||||||
\(810\) | 4.91293e11 | − | 1.87755e11i | 1.14130 | − | 0.436166i | ||||
\(811\) | −1.30697e11 | −0.302121 | −0.151061 | − | 0.988524i | \(-0.548269\pi\) | ||||
−0.151061 | + | 0.988524i | \(0.548269\pi\) | |||||||
\(812\) | −2.26800e11 | − | 1.30943e11i | −0.521698 | − | 0.301203i | ||||
\(813\) | −2.00953e10 | − | 2.19588e11i | −0.0459973 | − | 0.502627i | ||||
\(814\) | 6.60752e10 | + | 1.14446e11i | 0.150501 | + | 0.260676i | ||||
\(815\) | −5.15152e11 | + | 2.97423e11i | −1.16763 | + | 0.674131i | ||||
\(816\) | −4.88268e10 | + | 1.05810e11i | −0.110128 | + | 0.238654i | ||||
\(817\) | −6.53730e10 | + | 1.13229e11i | −0.146727 | + | 0.254139i | ||||
\(818\) | 7.32504e10i | 0.163605i | ||||||||
\(819\) | −2.18411e11 | + | 4.03129e10i | −0.485445 | + | 0.0896001i | ||||
\(820\) | 2.45732e11 | 0.543509 | ||||||||
\(821\) | 2.25465e10 | + | 1.30172e10i | 0.0496256 | + | 0.0286514i | 0.524608 | − | 0.851344i | \(-0.324212\pi\) |
−0.474982 | + | 0.879996i | \(0.657545\pi\) | |||||||
\(822\) | −7.23383e10 | + | 5.10835e10i | −0.158446 | + | 0.111891i | ||||
\(823\) | 1.02310e11 | + | 1.77206e11i | 0.223007 | + | 0.386260i | 0.955720 | − | 0.294278i | \(-0.0950792\pi\) |
−0.732712 | + | 0.680539i | \(0.761746\pi\) | |||||||
\(824\) | 1.09185e10 | − | 6.30382e9i | 0.0236840 | − | 0.0136740i | ||||
\(825\) | 3.52334e11 | + | 4.98933e11i | 0.760570 | + | 1.07703i | ||||
\(826\) | 2.33701e11 | − | 4.04781e11i | 0.502042 | − | 0.869562i | ||||
\(827\) | − | 2.31574e11i | − | 0.495072i | −0.968879 | − | 0.247536i | \(-0.920379\pi\) | ||
0.968879 | − | 0.247536i | \(-0.0796208\pi\) | |||||||
\(828\) | −8.41024e10 | − | 2.98523e10i | −0.178932 | − | 0.0635122i | ||||
\(829\) | 7.98205e11 | 1.69004 | 0.845019 | − | 0.534736i | \(-0.179589\pi\) | ||||
0.845019 | + | 0.534736i | \(0.179589\pi\) | |||||||
\(830\) | −3.41114e11 | − | 1.96942e11i | −0.718765 | − | 0.414979i | ||||
\(831\) | −7.36861e11 | − | 3.40029e11i | −1.54519 | − | 0.713036i | ||||
\(832\) | 8.63192e9 | + | 1.49509e10i | 0.0180142 | + | 0.0312015i | ||||
\(833\) | −8.47545e11 | + | 4.89331e11i | −1.76029 | + | 1.01630i | ||||
\(834\) | 3.89185e11 | − | 3.56158e10i | 0.804438 | − | 0.0736171i | ||||
\(835\) | 3.27681e11 | − | 5.67559e11i | 0.674070 | − | 1.16752i | ||||
\(836\) | 1.53863e11i | 0.315000i | ||||||||
\(837\) | −4.29156e11 | + | 4.39563e11i | −0.874407 | + | 0.895612i | ||||
\(838\) | −4.28623e11 | −0.869160 | ||||||||
\(839\) | 5.56790e11 | + | 3.21463e11i | 1.12368 | + | 0.648758i | 0.942338 | − | 0.334662i | \(-0.108622\pi\) |
0.181343 | + | 0.983420i | \(0.441955\pi\) | |||||||
\(840\) | −4.74727e10 | − | 5.18750e11i | −0.0953514 | − | 1.04194i | ||||
\(841\) | −1.26349e11 | − | 2.18842e11i | −0.252573 | − | 0.437469i | ||||
\(842\) | 4.67914e11 | − | 2.70150e11i | 0.930931 | − | 0.537473i | ||||
\(843\) | 2.67669e11 | − | 5.80053e11i | 0.530014 | − | 1.14857i | ||||
\(844\) | 1.20210e11 | − | 2.08209e11i | 0.236902 | − | 0.410327i | ||||
\(845\) | − | 8.07752e11i | − | 1.58435i | ||||||
\(846\) | 2.11730e11 | + | 2.48276e11i | 0.413334 | + | 0.484678i | ||||
\(847\) | 4.92808e11 | 0.957511 | ||||||||
\(848\) | −1.48715e10 | − | 8.58606e9i | −0.0287588 | − | 0.0166039i | ||||
\(849\) | −6.44258e10 | + | 4.54959e10i | −0.124002 | + | 0.0875672i | ||||
\(850\) | −3.85278e11 | − | 6.67321e11i | −0.738071 | − | 1.27838i | ||||
\(851\) | 1.10569e11 | − | 6.38370e10i | 0.210821 | − | 0.121718i | ||||
\(852\) | 1.01420e11 | + | 1.43619e11i | 0.192472 | + | 0.272555i | ||||
\(853\) | 9.75384e10 | − | 1.68942e11i | 0.184238 | − | 0.319110i | −0.759081 | − | 0.650996i | \(-0.774352\pi\) |
0.943320 | + | 0.331886i | \(0.107685\pi\) | |||||||
\(854\) | − | 3.86866e11i | − | 0.727326i | ||||||
\(855\) | −6.66584e11 | + | 5.68464e11i | −1.24736 | + | 1.06375i | ||||
\(856\) | −3.39362e11 | −0.632074 | ||||||||
\(857\) | −3.84904e10 | − | 2.22224e10i | −0.0713557 | − | 0.0411972i | 0.463898 | − | 0.885889i | \(-0.346451\pi\) |
−0.535253 | + | 0.844692i | \(0.679784\pi\) | |||||||
\(858\) | 6.65940e10 | + | 3.07301e10i | 0.122881 | + | 0.0567042i | ||||
\(859\) | −1.25294e11 | − | 2.17015e11i | −0.230122 | − | 0.398582i | 0.727722 | − | 0.685872i | \(-0.240579\pi\) |
−0.957844 | + | 0.287290i | \(0.907246\pi\) | |||||||
\(860\) | −1.26590e11 | + | 7.30866e10i | −0.231422 | + | 0.133611i | ||||
\(861\) | −5.89659e11 | + | 5.39619e10i | −1.07297 | + | 0.0981916i | ||||
\(862\) | 1.54656e11 | − | 2.67871e11i | 0.280115 | − | 0.485174i | ||||
\(863\) | 3.91558e11i | 0.705915i | 0.935639 | + | 0.352958i | \(0.114824\pi\) | ||||
−0.935639 | + | 0.352958i | \(0.885176\pi\) | |||||||
\(864\) | 7.04864e10 | + | 6.88176e10i | 0.126488 | + | 0.123494i | ||||
\(865\) | −1.03079e12 | −1.84122 | ||||||||
\(866\) | −6.82876e10 | − | 3.94259e10i | −0.121415 | − | 0.0700987i | ||||
\(867\) | −5.42428e9 | − | 5.92729e10i | −0.00959988 | − | 0.104901i | ||||
\(868\) | 3.04224e11 | + | 5.26931e11i | 0.535937 | + | 0.928271i | ||||
\(869\) | 1.07602e11 | − | 6.21242e10i | 0.188687 | − | 0.108939i | ||||
\(870\) | −2.06313e11 | + | 4.47093e11i | −0.360123 | + | 0.780406i | ||||
\(871\) | 5.09714e10 | − | 8.82851e10i | 0.0885633 | − | 0.153396i | ||||
\(872\) | 3.85921e11i | 0.667471i | ||||||||
\(873\) | 1.96052e11 | − | 5.52333e11i | 0.337531 | − | 0.950920i | ||||
\(874\) | 1.48651e11 | 0.254755 | ||||||||
\(875\) | 1.48070e12 | + | 8.54884e11i | 2.52601 | + | 1.45839i | ||||
\(876\) | 2.05577e11 | − | 1.45173e11i | 0.349106 | − | 0.246530i | ||||
\(877\) | 3.99055e10 | + | 6.91184e10i | 0.0674582 | + | 0.116841i | 0.897782 | − | 0.440441i | \(-0.145178\pi\) |
−0.830324 | + | 0.557282i | \(0.811844\pi\) | |||||||
\(878\) | 8.35204e10 | − | 4.82206e10i | 0.140545 | − | 0.0811436i | ||||
\(879\) | −2.47869e11 | − | 3.51002e11i | −0.415209 | − | 0.587968i | ||||
\(880\) | −8.60090e10 | + | 1.48972e11i | −0.143421 | + | 0.248413i | ||||
\(881\) | 5.84453e11i | 0.970166i | 0.874468 | + | 0.485083i | \(0.161211\pi\) | ||||
−0.874468 | + | 0.485083i | \(0.838789\pi\) | |||||||
\(882\) | 1.50161e11 | + | 8.13560e11i | 0.248132 | + | 1.34436i | ||||
\(883\) | 7.52384e10 | 0.123765 | 0.0618823 | − | 0.998083i | \(-0.480290\pi\) | ||||
0.0618823 | + | 0.998083i | \(0.480290\pi\) | |||||||
\(884\) | −8.01294e10 | − | 4.62627e10i | −0.131215 | − | 0.0757569i | ||||
\(885\) | −7.97949e11 | − | 3.68218e11i | −1.30077 | − | 0.600249i | ||||
\(886\) | −1.15756e11 | − | 2.00495e11i | −0.187849 | − | 0.325364i | ||||
\(887\) | 6.05896e11 | − | 3.49814e11i | 0.978822 | − | 0.565123i | 0.0769076 | − | 0.997038i | \(-0.475495\pi\) |
0.901914 | + | 0.431915i | \(0.142162\pi\) | |||||||
\(888\) | −1.40344e11 | + | 1.28434e10i | −0.225706 | + | 0.0206552i | ||||
\(889\) | 1.68343e11 | − | 2.91578e11i | 0.269518 | − | 0.466819i | ||||
\(890\) | 2.56687e11i | 0.409113i | ||||||||
\(891\) | 4.13252e11 | + | 6.60802e10i | 0.655698 | + | 0.104848i | ||||
\(892\) | 3.71333e11 | 0.586548 | ||||||||
\(893\) | −4.70694e11 | − | 2.71755e11i | −0.740172 | − | 0.427338i | ||||
\(894\) | 3.60122e10 | + | 3.93518e11i | 0.0563768 | + | 0.616047i | ||||
\(895\) | 5.09739e11 | + | 8.82894e11i | 0.794430 | + | 1.37599i | ||||
\(896\) | 8.44963e10 | − | 4.87840e10i | 0.131101 | − | 0.0756911i | ||||
\(897\) | 2.96892e10 | − | 6.43382e10i | 0.0458594 | − | 0.0993800i | ||||
\(898\) | −8.65455e10 | + | 1.49901e11i | −0.133088 | + | 0.230515i | ||||
\(899\) | − | 5.75137e11i | − | 0.880507i | ||||||
\(900\) | −6.40562e11 | + | 1.18230e11i | −0.976317 | + | 0.180202i | ||||
\(901\) | 9.20338e10 | 0.139652 | ||||||||
\(902\) | 1.69335e11 | + | 9.77658e10i | 0.255812 | + | 0.147693i | ||||
\(903\) | 2.87715e11 | − | 2.03177e11i | 0.432725 | − | 0.305579i | ||||
\(904\) | −2.06983e11 | − | 3.58505e11i | −0.309928 | − | 0.536812i | ||||
\(905\) | −8.12012e11 | + | 4.68815e11i | −1.21051 | + | 0.698888i | ||||
\(906\) | −4.44341e11 | − | 6.29222e11i | −0.659483 | − | 0.933881i | ||||
\(907\) | −5.79947e10 | + | 1.00450e11i | −0.0856958 | + | 0.148429i | −0.905687 | − | 0.423946i | \(-0.860645\pi\) |
0.819992 | + | 0.572375i | \(0.193978\pi\) | |||||||
\(908\) | 5.33513e11i | 0.784877i | ||||||||
\(909\) | 2.20205e11 | + | 7.81624e10i | 0.322532 | + | 0.114483i | ||||
\(910\) | 4.13601e11 | 0.603137 | ||||||||
\(911\) | 9.81176e11 | + | 5.66482e11i | 1.42454 | + | 0.822456i | 0.996682 | − | 0.0813913i | \(-0.0259363\pi\) |
0.427854 | + | 0.903848i | \(0.359270\pi\) | |||||||
\(912\) | −1.48989e11 | − | 6.87516e10i | −0.215364 | − | 0.0993810i | ||||
\(913\) | −1.56709e11 | − | 2.71428e11i | −0.225533 | − | 0.390635i | ||||
\(914\) | −2.35358e11 | + | 1.35884e11i | −0.337244 | + | 0.194708i | ||||
\(915\) | −7.24360e11 | + | 6.62889e10i | −1.03340 | + | 0.0945706i | ||||
\(916\) | −2.30424e11 | + | 3.99105e11i | −0.327299 | + | 0.566899i | ||||
\(917\) | 1.55651e12i | 2.20127i | ||||||||
\(918\) | −5.11573e11 | − | 1.30528e11i | −0.720340 | − | 0.183795i | ||||
\(919\) | −3.06256e11 | −0.429361 | −0.214680 | − | 0.976684i | \(-0.568871\pi\) | ||||
−0.214680 | + | 0.976684i | \(0.568871\pi\) | |||||||
\(920\) | 1.43926e11 | + | 8.30956e10i | 0.200903 | + | 0.115992i | ||||
\(921\) | 9.90936e10 | + | 1.08283e12i | 0.137723 | + | 1.50495i | ||||
\(922\) | 3.24506e11 | + | 5.62060e11i | 0.449054 | + | 0.777784i | ||||
\(923\) | −1.20896e11 | + | 6.97992e10i | −0.166573 | + | 0.0961709i | ||||
\(924\) | 1.73674e11 | − | 3.76361e11i | 0.238257 | − | 0.516317i | ||||
\(925\) | 4.65942e11 | − | 8.07035e11i | 0.636451 | − | 1.10237i | ||||
\(926\) | 6.86069e11i | 0.933090i | ||||||||
\(927\) | 3.70644e10 | + | 4.34619e10i | 0.0501923 | + | 0.0588559i | ||||
\(928\) | −9.22265e10 | −0.124355 | ||||||||
\(929\) | −8.75115e11 | − | 5.05248e11i | −1.17490 | − | 0.678331i | −0.220074 | − | 0.975483i | \(-0.570630\pi\) |
−0.954830 | + | 0.297152i | \(0.903963\pi\) | |||||||
\(930\) | 9.34486e11 | − | 6.59911e11i | 1.24923 | − | 0.882173i | ||||
\(931\) | −6.89012e11 | − | 1.19340e12i | −0.917124 | − | 1.58851i | ||||
\(932\) | −3.17439e11 | + | 1.83273e11i | −0.420723 | + | 0.242905i | ||||
\(933\) | 1.06983e11 | + | 1.51496e11i | 0.141185 | + | 0.199929i | ||||
\(934\) | −5.71858e10 | + | 9.90488e10i | −0.0751452 | + | 0.130155i | ||||
\(935\) | − | 9.21929e11i | − | 1.20629i | ||||||
\(936\) | −5.95131e10 | + | 5.07528e10i | −0.0775370 | + | 0.0661236i | ||||
\(937\) | −3.80033e11 | −0.493018 | −0.246509 | − | 0.969141i | \(-0.579283\pi\) | ||||
−0.246509 | + | 0.969141i | \(0.579283\pi\) | |||||||
\(938\) | −4.98950e11 | − | 2.88069e11i | −0.644533 | − | 0.372121i | ||||
\(939\) | 1.31526e12 | + | 6.06933e11i | 1.69180 | + | 0.780689i | ||||
\(940\) | −3.03820e11 | − | 5.26232e11i | −0.389139 | − | 0.674009i | ||||
\(941\) | 4.20722e11 | − | 2.42904e11i | 0.536583 | − | 0.309796i | −0.207110 | − | 0.978318i | \(-0.566406\pi\) |
0.743693 | + | 0.668521i | \(0.233072\pi\) | |||||||
\(942\) | −3.84969e11 | + | 3.52299e10i | −0.488902 | + | 0.0447412i | ||||
\(943\) | 9.44541e10 | − | 1.63599e11i | 0.119447 | − | 0.206888i | ||||
\(944\) | − | 1.64601e11i | − | 0.207274i | ||||||
\(945\) | 2.27217e12 | − | 6.38094e11i | 2.84914 | − | 0.800124i | ||||
\(946\) | −1.16311e11 | −0.145231 | ||||||||
\(947\) | 4.64773e9 | + | 2.68337e9i | 0.00577885 | + | 0.00333642i | 0.502887 | − | 0.864352i | \(-0.332271\pi\) |
−0.497108 | + | 0.867689i | \(0.665605\pi\) | |||||||
\(948\) | 1.20755e10 | + | 1.31953e11i | 0.0149510 | + | 0.163375i | ||||
\(949\) | 9.99106e10 | + | 1.73050e11i | 0.123182 | + | 0.213357i | ||||
\(950\) | 9.39635e11 | − | 5.42498e11i | 1.15363 | − | 0.666046i | ||||
\(951\) | −2.26279e11 | + | 4.90359e11i | −0.276644 | + | 0.599504i | ||||
\(952\) | −2.61457e11 | + | 4.52857e11i | −0.318312 | + | 0.551332i | ||||
\(953\) | − | 2.87948e11i | − | 0.349094i | −0.984649 | − | 0.174547i | \(-0.944154\pi\) | ||
0.984649 | − | 0.174547i | \(-0.0558462\pi\) | |||||||
\(954\) | 2.60244e10 | − | 7.33182e10i | 0.0314187 | − | 0.0885152i | ||||
\(955\) | −7.60616e10 | −0.0914433 | ||||||||
\(956\) | 1.55520e11 | + | 8.97893e10i | 0.186189 | + | 0.107496i | ||||
\(957\) | −3.20050e11 | + | 2.26011e11i | −0.381566 | + | 0.269453i | ||||
\(958\) | 1.22782e11 | + | 2.12665e11i | 0.145772 | + | 0.252484i | ||||
\(959\) | −3.44141e11 | + | 1.98690e11i | −0.406876 | + | 0.234910i | ||||
\(960\) | −1.05820e11 | − | 1.49850e11i | −0.124590 | − | 0.176430i | ||||
\(961\) | −2.41670e11 | + | 4.18585e11i | −0.283354 | + | 0.490784i | ||||
\(962\) | − | 1.11897e11i | − | 0.130653i | ||||||
\(963\) | −2.79069e11 | − | 1.51197e12i | −0.324494 | − | 1.75808i | ||||
\(964\) | 5.67827e11 | 0.657519 | ||||||||
\(965\) | −2.56017e12 | − | 1.47812e12i | −2.95230 | − | 1.70451i | ||||
\(966\) | −3.63612e11 | − | 1.67791e11i | −0.417570 | − | 0.192690i | ||||
\(967\) | −4.51417e11 | − | 7.81877e11i | −0.516264 | − | 0.894195i | −0.999822 | − | 0.0188827i | \(-0.993989\pi\) |
0.483558 | − | 0.875312i | \(-0.339344\pi\) | |||||||
\(968\) | 1.50297e11 | − | 8.67741e10i | 0.171179 | − | 0.0988300i | ||||
\(969\) | 8.75761e11 | − | 8.01441e10i | 0.993323 | − | 0.0909027i | ||||
\(970\) | −5.45721e11 | + | 9.45216e11i | −0.616429 | + | 1.06769i | ||||
\(971\) | − | 8.08040e11i | − | 0.908983i | −0.890751 | − | 0.454492i | \(-0.849821\pi\) | ||
0.890751 | − | 0.454492i | \(-0.150179\pi\) | |||||||
\(972\) | −2.48642e11 | + | 3.70632e11i | −0.278554 | + | 0.415220i | ||||
\(973\) | 1.75368e12 | 1.95658 | ||||||||
\(974\) | −5.71017e10 | − | 3.29677e10i | −0.0634473 | − | 0.0366313i | ||||
\(975\) | −4.71328e10 | − | 5.15035e11i | −0.0521561 | − | 0.569926i | ||||
\(976\) | −6.81198e10 | − | 1.17987e11i | −0.0750713 | − | 0.130027i | ||||
\(977\) | 1.39658e12 | − | 8.06317e11i | 1.53281 | − | 0.884968i | 0.533579 | − | 0.845750i | \(-0.320847\pi\) |
0.999231 | − | 0.0392176i | \(-0.0124866\pi\) | |||||||
\(978\) | 2.11499e11 | − | 4.58330e11i | 0.231181 | − | 0.500983i | ||||
\(979\) | −1.02124e11 | + | 1.76884e11i | −0.111173 | + | 0.192557i | ||||
\(980\) | − | 1.54062e12i | − | 1.67029i | ||||||
\(981\) | −1.71941e12 | + | 3.17357e11i | −1.85653 | + | 0.342666i | ||||
\(982\) | −2.81812e11 | −0.303050 | ||||||||
\(983\) | 1.24469e12 | + | 7.18625e11i | 1.33306 | + | 0.769641i | 0.985767 | − | 0.168117i | \(-0.0537687\pi\) |
0.347290 | + | 0.937758i | \(0.387102\pi\) | |||||||
\(984\) | −1.70333e11 | + | 1.20285e11i | −0.181685 | + | 0.128302i | ||||
\(985\) | 2.95511e11 | + | 5.11840e11i | 0.313927 | + | 0.543737i | ||||
\(986\) | 4.28065e11 | − | 2.47143e11i | 0.452900 | − | 0.261482i | ||||
\(987\) | 8.44606e11 | + | 1.19603e12i | 0.889991 | + | 1.26030i | ||||
\(988\) | 6.51412e10 | − | 1.12828e11i | 0.0683641 | − | 0.118410i | ||||
\(989\) | 1.12372e11i | 0.117455i | ||||||||
\(990\) | −7.34449e11 | − | 2.60694e11i | −0.764576 | − | 0.271388i | ||||
\(991\) | −1.11953e12 | −1.16075 | −0.580377 | − | 0.814348i | \(-0.697095\pi\) | ||||
−0.580377 | + | 0.814348i | \(0.697095\pi\) | |||||||
\(992\) | 1.85565e11 | + | 1.07136e11i | 0.191624 | + | 0.110634i | ||||
\(993\) | −1.15365e12 | − | 5.32356e11i | −1.18652 | − | 0.547527i | ||||
\(994\) | 3.94476e11 | + | 6.83252e11i | 0.404087 | + | 0.699899i | ||||
\(995\) | −2.49213e12 | + | 1.43883e12i | −2.54261 | + | 1.46797i | ||||
\(996\) | 3.32852e11 | − | 3.04605e10i | 0.338231 | − | 0.0309528i | ||||
\(997\) | −4.45668e11 | + | 7.71920e11i | −0.451057 | + | 0.781253i | −0.998452 | − | 0.0556212i | \(-0.982286\pi\) |
0.547395 | + | 0.836874i | \(0.315619\pi\) | |||||||
\(998\) | − | 1.85489e11i | − | 0.186981i | ||||||
\(999\) | −1.72632e11 | − | 6.14721e11i | −0.173324 | − | 0.617186i |
(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 | 18.9.d.a.11.6 | yes | 16 | |
3.2 | odd | 2 | 54.9.d.a.35.1 | 16 | |||
4.3 | odd | 2 | 144.9.q.b.65.5 | 16 | |||
9.2 | odd | 6 | 162.9.b.c.161.9 | 16 | |||
9.4 | even | 3 | 54.9.d.a.17.1 | 16 | |||
9.5 | odd | 6 | inner | 18.9.d.a.5.6 | ✓ | 16 | |
9.7 | even | 3 | 162.9.b.c.161.8 | 16 | |||
12.11 | even | 2 | 432.9.q.c.305.1 | 16 | |||
36.23 | even | 6 | 144.9.q.b.113.5 | 16 | |||
36.31 | odd | 6 | 432.9.q.c.17.1 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
18.9.d.a.5.6 | ✓ | 16 | 9.5 | odd | 6 | inner | |
18.9.d.a.11.6 | yes | 16 | 1.1 | even | 1 | trivial | |
54.9.d.a.17.1 | 16 | 9.4 | even | 3 | |||
54.9.d.a.35.1 | 16 | 3.2 | odd | 2 | |||
144.9.q.b.65.5 | 16 | 4.3 | odd | 2 | |||
144.9.q.b.113.5 | 16 | 36.23 | even | 6 | |||
162.9.b.c.161.8 | 16 | 9.7 | even | 3 | |||
162.9.b.c.161.9 | 16 | 9.2 | odd | 6 | |||
432.9.q.c.17.1 | 16 | 36.31 | odd | 6 | |||
432.9.q.c.305.1 | 16 | 12.11 | even | 2 |