Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9,22,Mod(4,9)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 22, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("9.4");
S:= CuspForms(chi, 22);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9 = 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 22 \) |
Character orbit: | \([\chi]\) | \(=\) | 9.c (of order \(3\), 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: | \(25.1529609858\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 9.7 |
Dual form | 9.22.c.a.4.4 |
$q$-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 \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −959.466 | + | 1661.84i | −0.662544 | + | 1.14756i | 0.317401 | + | 0.948291i | \(0.397190\pi\) |
−0.979945 | + | 0.199268i | \(0.936144\pi\) | |||||||
\(3\) | −29737.5 | − | 97857.2i | −0.290758 | − | 0.956797i | ||||
\(4\) | −792574. | − | 1.37278e6i | −0.377929 | − | 0.654591i | ||||
\(5\) | −5.04427e6 | − | 8.73693e6i | −0.231001 | − | 0.400105i | 0.727102 | − | 0.686529i | \(-0.240867\pi\) |
−0.958103 | + | 0.286424i | \(0.907533\pi\) | |||||||
\(6\) | 1.91156e8 | + | 4.44715e7i | 1.29062 | + | 0.300257i | ||||
\(7\) | −7.19629e8 | + | 1.24643e9i | −0.962896 | + | 1.66778i | −0.247731 | + | 0.968829i | \(0.579685\pi\) |
−0.715165 | + | 0.698956i | \(0.753648\pi\) | |||||||
\(8\) | −9.82502e8 | −0.323511 | ||||||||
\(9\) | −8.69171e9 | + | 5.82006e9i | −0.830920 | + | 0.556393i | ||||
\(10\) | 1.93592e10 | 0.612192 | ||||||||
\(11\) | 8.94881e9 | − | 1.54998e10i | 0.104026 | − | 0.180178i | −0.809314 | − | 0.587376i | \(-0.800161\pi\) |
0.913340 | + | 0.407198i | \(0.133494\pi\) | |||||||
\(12\) | −1.10767e11 | + | 1.18382e11i | −0.516425 | + | 0.551928i | ||||
\(13\) | 5.83955e9 | + | 1.01144e10i | 0.0117483 | + | 0.0203486i | 0.871840 | − | 0.489791i | \(-0.162927\pi\) |
−0.860091 | + | 0.510140i | \(0.829594\pi\) | |||||||
\(14\) | −1.38092e12 | − | 2.39182e12i | −1.27592 | − | 2.20996i | ||||
\(15\) | −7.04967e11 | + | 7.53432e11i | −0.315653 | + | 0.337354i | ||||
\(16\) | 2.60482e12 | − | 4.51169e12i | 0.592269 | − | 1.02584i | ||||
\(17\) | −8.88490e11 | −0.106890 | −0.0534452 | − | 0.998571i | \(-0.517020\pi\) | ||||
−0.0534452 | + | 0.998571i | \(0.517020\pi\) | |||||||
\(18\) | −1.33264e12 | − | 2.00284e13i | −0.0879731 | − | 1.32216i | ||||
\(19\) | −3.75758e13 | −1.40603 | −0.703016 | − | 0.711174i | \(-0.748164\pi\) | ||||
−0.703016 | + | 0.711174i | \(0.748164\pi\) | |||||||
\(20\) | −7.99590e12 | + | 1.38493e13i | −0.174603 | + | 0.302422i | ||||
\(21\) | 1.43373e14 | + | 3.33550e13i | 1.87570 | + | 0.436374i | ||||
\(22\) | 1.71722e13 | + | 2.97430e13i | 0.137844 | + | 0.238752i | ||||
\(23\) | 1.29436e14 | + | 2.24189e14i | 0.651497 | + | 1.12843i | 0.982760 | + | 0.184887i | \(0.0591919\pi\) |
−0.331263 | + | 0.943538i | \(0.607475\pi\) | |||||||
\(24\) | 2.92172e13 | + | 9.61449e13i | 0.0940634 | + | 0.309534i | ||||
\(25\) | 1.87529e14 | − | 3.24810e14i | 0.393278 | − | 0.681177i | ||||
\(26\) | −2.24114e13 | −0.0311350 | ||||||||
\(27\) | 8.28005e14 | + | 6.77472e14i | 0.773951 | + | 0.633245i | ||||
\(28\) | 2.28144e15 | 1.45562 | ||||||||
\(29\) | 1.42399e15 | − | 2.46643e15i | 0.628535 | − | 1.08865i | −0.359311 | − | 0.933218i | \(-0.616988\pi\) |
0.987846 | − | 0.155437i | \(-0.0496785\pi\) | |||||||
\(30\) | −5.75695e14 | − | 1.89444e15i | −0.178000 | − | 0.585743i | ||||
\(31\) | −2.05944e15 | − | 3.56705e15i | −0.451284 | − | 0.781648i | 0.547182 | − | 0.837014i | \(-0.315701\pi\) |
−0.998466 | + | 0.0553663i | \(0.982367\pi\) | |||||||
\(32\) | 3.96825e15 | + | 6.87322e15i | 0.623052 | + | 1.07916i | ||||
\(33\) | −1.78288e15 | − | 4.14780e14i | −0.202640 | − | 0.0471434i | ||||
\(34\) | 8.52476e14 | − | 1.47653e15i | 0.0708196 | − | 0.122663i | ||||
\(35\) | 1.45200e16 | 0.889718 | ||||||||
\(36\) | 1.48785e16 | + | 7.31896e15i | 0.678238 | + | 0.333636i | ||||
\(37\) | 4.25896e15 | 0.145608 | 0.0728040 | − | 0.997346i | \(-0.476805\pi\) | ||||
0.0728040 | + | 0.997346i | \(0.476805\pi\) | |||||||
\(38\) | 3.60527e16 | − | 6.24451e16i | 0.931558 | − | 1.61351i | ||||
\(39\) | 8.16113e14 | − | 8.72219e14i | 0.0160536 | − | 0.0171572i | ||||
\(40\) | 4.95600e15 | + | 8.58405e15i | 0.0747312 | + | 0.129438i | ||||
\(41\) | 6.26683e16 | + | 1.08545e17i | 0.729150 | + | 1.26293i | 0.957243 | + | 0.289286i | \(0.0934178\pi\) |
−0.228092 | + | 0.973639i | \(0.573249\pi\) | |||||||
\(42\) | −1.92992e17 | + | 2.06260e17i | −1.74350 | + | 1.86336i | ||||
\(43\) | 8.49316e16 | − | 1.47106e17i | 0.599309 | − | 1.03803i | −0.393615 | − | 0.919275i | \(-0.628776\pi\) |
0.992923 | − | 0.118757i | \(-0.0378911\pi\) | |||||||
\(44\) | −2.83704e16 | −0.157258 | ||||||||
\(45\) | 9.46928e16 | + | 4.65809e16i | 0.414558 | + | 0.203928i | ||||
\(46\) | −4.96757e17 | −1.72658 | ||||||||
\(47\) | 2.78210e16 | − | 4.81874e16i | 0.0771517 | − | 0.133631i | −0.824868 | − | 0.565325i | \(-0.808751\pi\) |
0.902020 | + | 0.431694i | \(0.142084\pi\) | |||||||
\(48\) | −5.18962e17 | − | 1.20734e17i | −1.15373 | − | 0.268410i | ||||
\(49\) | −7.56460e17 | − | 1.31023e18i | −1.35434 | − | 2.34578i | ||||
\(50\) | 3.59856e17 | + | 6.23289e17i | 0.521127 | + | 0.902619i | ||||
\(51\) | 2.64215e16 | + | 8.69451e16i | 0.0310793 | + | 0.102272i | ||||
\(52\) | 9.25654e15 | − | 1.60328e16i | 0.00888002 | − | 0.0153806i | ||||
\(53\) | 8.15800e17 | 0.640748 | 0.320374 | − | 0.947291i | \(-0.396191\pi\) | ||||
0.320374 | + | 0.947291i | \(0.396191\pi\) | |||||||
\(54\) | −1.92030e18 | + | 7.26004e17i | −1.23946 | + | 0.468602i | ||||
\(55\) | −1.80561e17 | −0.0961203 | ||||||||
\(56\) | 7.07037e17 | − | 1.22462e18i | 0.311507 | − | 0.539546i | ||||
\(57\) | 1.11741e18 | + | 3.67706e18i | 0.408815 | + | 1.34529i | ||||
\(58\) | 2.73255e18 | + | 4.73291e18i | 0.832864 | + | 1.44256i | ||||
\(59\) | −2.07246e17 | − | 3.58961e17i | −0.0527886 | − | 0.0914325i | 0.838424 | − | 0.545019i | \(-0.183478\pi\) |
−0.891212 | + | 0.453587i | \(0.850144\pi\) | |||||||
\(60\) | 1.59303e18 | + | 3.70612e17i | 0.340124 | + | 0.0791283i | ||||
\(61\) | 1.82348e18 | − | 3.15835e18i | 0.327293 | − | 0.566888i | −0.654681 | − | 0.755905i | \(-0.727197\pi\) |
0.981974 | + | 0.189018i | \(0.0605303\pi\) | |||||||
\(62\) | 7.90383e18 | 1.19598 | ||||||||
\(63\) | −9.99518e17 | − | 1.50219e19i | −0.127854 | − | 1.92154i | ||||
\(64\) | −4.30419e18 | −0.466661 | ||||||||
\(65\) | 5.89125e16 | − | 1.02039e17i | 0.00542771 | − | 0.00940108i | ||||
\(66\) | 2.39991e18 | − | 2.56490e18i | 0.188358 | − | 0.201307i | ||||
\(67\) | 1.83711e18 | + | 3.18196e18i | 0.123126 | + | 0.213260i | 0.920999 | − | 0.389565i | \(-0.127375\pi\) |
−0.797873 | + | 0.602826i | \(0.794041\pi\) | |||||||
\(68\) | 7.04194e17 | + | 1.21970e18i | 0.0403969 | + | 0.0699696i | ||||
\(69\) | 1.80894e19 | − | 1.93331e19i | 0.890246 | − | 0.951449i | ||||
\(70\) | −1.39315e19 | + | 2.41300e19i | −0.589477 | + | 1.02100i | ||||
\(71\) | −3.18391e19 | −1.16077 | −0.580387 | − | 0.814340i | \(-0.697099\pi\) | ||||
−0.580387 | + | 0.814340i | \(0.697099\pi\) | |||||||
\(72\) | 8.53963e18 | − | 5.71823e18i | 0.268811 | − | 0.179999i | ||||
\(73\) | 3.33473e19 | 0.908179 | 0.454089 | − | 0.890956i | \(-0.349965\pi\) | ||||
0.454089 | + | 0.890956i | \(0.349965\pi\) | |||||||
\(74\) | −4.08633e18 | + | 7.07773e18i | −0.0964717 | + | 0.167094i | ||||
\(75\) | −3.73617e19 | − | 8.69204e18i | −0.766096 | − | 0.178229i | ||||
\(76\) | 2.97816e19 | + | 5.15832e19i | 0.531380 | + | 0.920377i | ||||
\(77\) | 1.28796e19 | + | 2.23082e19i | 0.200332 | + | 0.346986i | ||||
\(78\) | 6.66459e17 | + | 2.19312e18i | 0.00905275 | + | 0.0297898i | ||||
\(79\) | −7.13088e19 | + | 1.23510e20i | −0.847341 | + | 1.46764i | 0.0362308 | + | 0.999343i | \(0.488465\pi\) |
−0.883572 | + | 0.468295i | \(0.844868\pi\) | |||||||
\(80\) | −5.25577e19 | −0.547257 | ||||||||
\(81\) | 4.16727e19 | − | 1.01173e20i | 0.380854 | − | 0.924635i | ||||
\(82\) | −2.40512e20 | −1.93238 | ||||||||
\(83\) | 1.02920e20 | − | 1.78263e20i | 0.728082 | − | 1.26107i | −0.229611 | − | 0.973282i | \(-0.573745\pi\) |
0.957693 | − | 0.287792i | \(-0.0929212\pi\) | |||||||
\(84\) | −6.78443e19 | − | 2.23255e20i | −0.423234 | − | 1.39274i | ||||
\(85\) | 4.48178e18 | + | 7.76267e18i | 0.0246917 | + | 0.0427674i | ||||
\(86\) | 1.62978e20 | + | 2.82286e20i | 0.794136 | + | 1.37548i | ||||
\(87\) | −2.83704e20 | − | 6.60026e19i | −1.22437 | − | 0.284845i | ||||
\(88\) | −8.79222e18 | + | 1.52286e19i | −0.0336535 | + | 0.0582896i | ||||
\(89\) | 3.19774e20 | 1.08705 | 0.543523 | − | 0.839395i | \(-0.317090\pi\) | ||||
0.543523 | + | 0.839395i | \(0.317090\pi\) | |||||||
\(90\) | −1.68265e20 | + | 1.12672e20i | −0.508682 | + | 0.340619i | ||||
\(91\) | −1.68092e19 | −0.0452495 | ||||||||
\(92\) | 2.05175e20 | − | 3.55373e20i | 0.492438 | − | 0.852928i | ||||
\(93\) | −2.87819e20 | + | 3.07606e20i | −0.616663 | + | 0.659058i | ||||
\(94\) | 5.33866e19 | + | 9.24683e19i | 0.102233 | + | 0.177072i | ||||
\(95\) | 1.89542e20 | + | 3.28297e20i | 0.324794 | + | 0.562560i | ||||
\(96\) | 5.54588e20 | − | 5.92715e20i | 0.851378 | − | 0.909908i | ||||
\(97\) | −5.92233e19 | + | 1.02578e20i | −0.0815435 | + | 0.141237i | −0.903913 | − | 0.427716i | \(-0.859318\pi\) |
0.822370 | + | 0.568954i | \(0.192652\pi\) | |||||||
\(98\) | 2.90319e21 | 3.58923 | ||||||||
\(99\) | 1.24293e19 | + | 1.86802e20i | 0.0138127 | + | 0.207593i | ||||
\(100\) | −5.94523e20 | −0.594523 | ||||||||
\(101\) | −5.64281e20 | + | 9.77363e20i | −0.508301 | + | 0.880403i | 0.491653 | + | 0.870791i | \(0.336393\pi\) |
−0.999954 | + | 0.00961178i | \(0.996940\pi\) | |||||||
\(102\) | −1.69840e20 | − | 3.95125e19i | −0.137955 | − | 0.0320947i | ||||
\(103\) | −4.21921e20 | − | 7.30788e20i | −0.309343 | − | 0.535798i | 0.668876 | − | 0.743374i | \(-0.266776\pi\) |
−0.978219 | + | 0.207577i | \(0.933442\pi\) | |||||||
\(104\) | −5.73737e18 | − | 9.93742e18i | −0.00380069 | − | 0.00658299i | ||||
\(105\) | −4.31789e20 | − | 1.42089e21i | −0.258693 | − | 0.851279i | ||||
\(106\) | −7.82732e20 | + | 1.35573e21i | −0.424523 | + | 0.735296i | ||||
\(107\) | 6.33311e20 | 0.311234 | 0.155617 | − | 0.987817i | \(-0.450263\pi\) | ||||
0.155617 | + | 0.987817i | \(0.450263\pi\) | |||||||
\(108\) | 2.73764e20 | − | 1.67361e21i | 0.122019 | − | 0.745943i | ||||
\(109\) | −4.46747e21 | −1.80752 | −0.903760 | − | 0.428040i | \(-0.859204\pi\) | ||||
−0.903760 | + | 0.428040i | \(0.859204\pi\) | |||||||
\(110\) | 1.73242e20 | − | 3.00064e20i | 0.0636839 | − | 0.110304i | ||||
\(111\) | −1.26651e20 | − | 4.16770e20i | −0.0423367 | − | 0.139317i | ||||
\(112\) | 3.74902e21 | + | 6.49349e21i | 1.14059 | + | 1.97555i | ||||
\(113\) | −1.79002e21 | − | 3.10041e21i | −0.496061 | − | 0.859203i | 0.503928 | − | 0.863745i | \(-0.331888\pi\) |
−0.999990 | + | 0.00454207i | \(0.998554\pi\) | |||||||
\(114\) | −7.18282e21 | − | 1.67105e21i | −1.81466 | − | 0.422172i | ||||
\(115\) | 1.30582e21 | − | 2.26174e21i | 0.300992 | − | 0.521334i | ||||
\(116\) | −4.51448e21 | −0.950165 | ||||||||
\(117\) | −1.09622e20 | − | 5.39249e19i | −0.0210837 | − | 0.0103714i | ||||
\(118\) | 7.95382e20 | 0.139899 | ||||||||
\(119\) | 6.39383e20 | − | 1.10744e21i | 0.102924 | − | 0.178270i | ||||
\(120\) | 6.92632e20 | − | 7.40249e20i | 0.102117 | − | 0.109138i | ||||
\(121\) | 3.53996e21 | + | 6.13140e21i | 0.478357 | + | 0.828539i | ||||
\(122\) | 3.49912e21 | + | 6.06066e21i | 0.433692 | + | 0.751176i | ||||
\(123\) | 8.75827e21 | − | 9.36039e21i | 0.996356 | − | 1.06485i | ||||
\(124\) | −3.26451e21 | + | 5.65429e21i | −0.341107 | + | 0.590814i | ||||
\(125\) | −8.59438e21 | −0.825390 | ||||||||
\(126\) | 2.59231e22 | + | 1.27520e22i | 2.28979 | + | 1.12639i | ||||
\(127\) | −5.60955e21 | −0.456026 | −0.228013 | − | 0.973658i | \(-0.573223\pi\) | ||||
−0.228013 | + | 0.973658i | \(0.573223\pi\) | |||||||
\(128\) | −4.19231e21 | + | 7.26129e21i | −0.313869 | + | 0.543637i | ||||
\(129\) | −1.69210e22 | − | 3.93660e21i | −1.16744 | − | 0.271600i | ||||
\(130\) | 1.13049e20 | + | 1.95807e20i | 0.00719220 | + | 0.0124573i | ||||
\(131\) | −1.56836e21 | − | 2.71648e21i | −0.0920657 | − | 0.159462i | 0.816314 | − | 0.577608i | \(-0.196014\pi\) |
−0.908380 | + | 0.418145i | \(0.862680\pi\) | |||||||
\(132\) | 8.43664e20 | + | 2.77624e21i | 0.0457239 | + | 0.150464i | ||||
\(133\) | 2.70406e22 | − | 4.68358e22i | 1.35386 | − | 2.34496i | ||||
\(134\) | −7.05057e21 | −0.326305 | ||||||||
\(135\) | 1.74235e21 | − | 1.06516e22i | 0.0745813 | − | 0.455941i | ||||
\(136\) | 8.72943e20 | 0.0345802 | ||||||||
\(137\) | 1.83021e22 | − | 3.17001e22i | 0.671328 | − | 1.16277i | −0.306200 | − | 0.951967i | \(-0.599058\pi\) |
0.977528 | − | 0.210807i | \(-0.0676090\pi\) | |||||||
\(138\) | 1.47723e22 | + | 4.86113e22i | 0.502017 | + | 1.65199i | ||||
\(139\) | 3.39435e21 | + | 5.87918e21i | 0.106930 | + | 0.185209i | 0.914525 | − | 0.404529i | \(-0.132565\pi\) |
−0.807595 | + | 0.589738i | \(0.799231\pi\) | |||||||
\(140\) | −1.15082e22 | − | 1.99327e22i | −0.336250 | − | 0.582402i | ||||
\(141\) | −5.54281e21 | − | 1.28951e21i | −0.150290 | − | 0.0349643i | ||||
\(142\) | 3.05485e22 | − | 5.29116e22i | 0.769064 | − | 1.33206i | ||||
\(143\) | 2.09028e20 | 0.00488850 | ||||||||
\(144\) | 3.61793e21 | + | 5.43745e22i | 0.0786419 | + | 1.18192i | ||||
\(145\) | −2.87320e22 | −0.580768 | ||||||||
\(146\) | −3.19956e22 | + | 5.54181e22i | −0.601708 | + | 1.04219i | ||||
\(147\) | −1.05720e23 | + | 1.12988e23i | −1.85065 | + | 1.97788i | ||||
\(148\) | −3.37554e21 | − | 5.84661e21i | −0.0550295 | − | 0.0953138i | ||||
\(149\) | 3.50819e22 | + | 6.07636e22i | 0.532877 | + | 0.922971i | 0.999263 | + | 0.0383891i | \(0.0122226\pi\) |
−0.466386 | + | 0.884582i | \(0.654444\pi\) | |||||||
\(150\) | 5.02921e22 | − | 5.37496e22i | 0.712101 | − | 0.761056i | ||||
\(151\) | 1.71899e22 | − | 2.97737e22i | 0.226994 | − | 0.393166i | −0.729922 | − | 0.683531i | \(-0.760443\pi\) |
0.956916 | + | 0.290365i | \(0.0937768\pi\) | |||||||
\(152\) | 3.69183e22 | 0.454867 | ||||||||
\(153\) | 7.72250e21 | − | 5.17107e21i | 0.0888173 | − | 0.0594730i | ||||
\(154\) | −4.94303e22 | −0.530916 | ||||||||
\(155\) | −2.07767e22 | + | 3.59863e22i | −0.208494 | + | 0.361122i | ||||
\(156\) | −1.84419e21 | − | 4.29043e20i | −0.0172981 | − | 0.00402432i | ||||
\(157\) | −4.50560e22 | − | 7.80393e22i | −0.395191 | − | 0.684490i | 0.597935 | − | 0.801545i | \(-0.295988\pi\) |
−0.993125 | + | 0.117055i | \(0.962655\pi\) | |||||||
\(158\) | −1.36837e23 | − | 2.37008e23i | −1.12280 | − | 1.94475i | ||||
\(159\) | −2.42599e22 | − | 7.98319e22i | −0.186303 | − | 0.613065i | ||||
\(160\) | 4.00338e22 | − | 6.93407e22i | 0.287851 | − | 0.498572i | ||||
\(161\) | −3.72583e23 | −2.50929 | ||||||||
\(162\) | 1.28150e23 | + | 1.66325e23i | 0.808741 | + | 1.04966i | ||||
\(163\) | 2.91470e22 | 0.172434 | 0.0862171 | − | 0.996276i | \(-0.472522\pi\) | ||||
0.0862171 | + | 0.996276i | \(0.472522\pi\) | |||||||
\(164\) | 9.93384e22 | − | 1.72059e23i | 0.551133 | − | 0.954591i | ||||
\(165\) | 5.36943e21 | + | 1.76692e22i | 0.0279477 | + | 0.0919675i | ||||
\(166\) | 1.97497e23 | + | 3.42074e23i | 0.964772 | + | 1.67103i | ||||
\(167\) | 1.97998e23 | + | 3.42942e23i | 0.908108 | + | 1.57289i | 0.816691 | + | 0.577076i | \(0.195806\pi\) |
0.0914169 | + | 0.995813i | \(0.470860\pi\) | |||||||
\(168\) | −1.40864e23 | − | 3.27714e22i | −0.606809 | − | 0.141172i | ||||
\(169\) | 1.23464e23 | − | 2.13846e23i | 0.499724 | − | 0.865547i | ||||
\(170\) | −1.72005e22 | −0.0654374 | ||||||||
\(171\) | 3.26598e23 | − | 2.18694e23i | 1.16830 | − | 0.782306i | ||||
\(172\) | −2.69258e23 | −0.905983 | ||||||||
\(173\) | −8.73831e22 | + | 1.51352e23i | −0.276658 | + | 0.479186i | −0.970552 | − | 0.240891i | \(-0.922560\pi\) |
0.693894 | + | 0.720077i | \(0.255894\pi\) | |||||||
\(174\) | 3.81890e23 | − | 4.08145e23i | 1.13808 | − | 1.21632i | ||||
\(175\) | 2.69903e23 | + | 4.67486e23i | 0.757371 | + | 1.31180i | ||||
\(176\) | −4.66201e22 | − | 8.07485e22i | −0.123223 | − | 0.213428i | ||||
\(177\) | −2.89639e22 | + | 3.09551e22i | −0.0721336 | + | 0.0770927i | ||||
\(178\) | −3.06812e23 | + | 5.31414e23i | −0.720215 | + | 1.24745i | ||||
\(179\) | 8.15206e23 | 1.80431 | 0.902153 | − | 0.431416i | \(-0.141986\pi\) | ||||
0.902153 | + | 0.431416i | \(0.141986\pi\) | |||||||
\(180\) | −1.11058e22 | − | 1.66911e23i | −0.0231840 | − | 0.348436i | ||||
\(181\) | 3.90557e23 | 0.769236 | 0.384618 | − | 0.923076i | \(-0.374333\pi\) | ||||
0.384618 | + | 0.923076i | \(0.374333\pi\) | |||||||
\(182\) | 1.61279e22 | − | 2.79343e22i | 0.0299798 | − | 0.0519265i | ||||
\(183\) | −3.63293e23 | − | 8.45186e22i | −0.637559 | − | 0.148325i | ||||
\(184\) | −1.27171e23 | − | 2.20267e23i | −0.210766 | − | 0.365058i | ||||
\(185\) | −2.14833e22 | − | 3.72102e22i | −0.0336355 | − | 0.0582585i | ||||
\(186\) | −2.35040e23 | − | 7.73447e23i | −0.347742 | − | 1.14431i | ||||
\(187\) | −7.95092e21 | + | 1.37714e22i | −0.0111194 | + | 0.0192593i | ||||
\(188\) | −8.82008e22 | −0.116631 | ||||||||
\(189\) | −1.44028e24 | + | 5.44525e23i | −1.80135 | + | 0.681035i | ||||
\(190\) | −7.27438e23 | −0.860762 | ||||||||
\(191\) | 4.24295e23 | − | 7.34900e23i | 0.475135 | − | 0.822958i | −0.524459 | − | 0.851435i | \(-0.675733\pi\) |
0.999594 | + | 0.0284774i | \(0.00906586\pi\) | |||||||
\(192\) | 1.27996e23 | + | 4.21196e23i | 0.135685 | + | 0.446499i | ||||
\(193\) | −4.90244e23 | − | 8.49128e23i | −0.492109 | − | 0.852357i | 0.507850 | − | 0.861445i | \(-0.330440\pi\) |
−0.999959 | + | 0.00908841i | \(0.997107\pi\) | |||||||
\(194\) | −1.13645e23 | − | 1.96840e23i | −0.108052 | − | 0.187152i | ||||
\(195\) | −1.17372e22 | − | 2.73061e21i | −0.0105731 | − | 0.00245978i | ||||
\(196\) | −1.19910e24 | + | 2.07690e24i | −1.02369 | + | 1.77308i | ||||
\(197\) | 9.48861e23 | 0.767905 | 0.383952 | − | 0.923353i | \(-0.374563\pi\) | ||||
0.383952 | + | 0.923353i | \(0.374563\pi\) | |||||||
\(198\) | −3.22362e23 | − | 1.58575e23i | −0.247377 | − | 0.121689i | ||||
\(199\) | −4.82519e23 | −0.351202 | −0.175601 | − | 0.984461i | \(-0.556187\pi\) | ||||
−0.175601 | + | 0.984461i | \(0.556187\pi\) | |||||||
\(200\) | −1.84248e23 | + | 3.19127e23i | −0.127230 | + | 0.220368i | ||||
\(201\) | 2.56747e23 | − | 2.74398e23i | 0.168247 | − | 0.179813i | ||||
\(202\) | −1.08282e24 | − | 1.87549e24i | −0.673543 | − | 1.16661i | ||||
\(203\) | 2.04950e24 | + | 3.54983e24i | 1.21043 | + | 2.09652i | ||||
\(204\) | 9.84154e22 | − | 1.05181e23i | 0.0552009 | − | 0.0589959i | ||||
\(205\) | 6.32231e23 | − | 1.09506e24i | 0.336868 | − | 0.583473i | ||||
\(206\) | 1.61927e24 | 0.819813 | ||||||||
\(207\) | −2.42982e24 | − | 1.19527e24i | −1.16919 | − | 0.575143i | ||||
\(208\) | 6.08440e22 | 0.0278325 | ||||||||
\(209\) | −3.36259e23 | + | 5.82417e23i | −0.146264 | + | 0.253337i | ||||
\(210\) | 2.77558e24 | + | 6.45727e23i | 1.14829 | + | 0.267144i | ||||
\(211\) | 3.88323e23 | + | 6.72595e23i | 0.152837 | + | 0.264721i | 0.932269 | − | 0.361765i | \(-0.117826\pi\) |
−0.779433 | + | 0.626486i | \(0.784493\pi\) | |||||||
\(212\) | −6.46581e23 | − | 1.11991e24i | −0.242157 | − | 0.419428i | ||||
\(213\) | 9.46816e23 | + | 3.11568e24i | 0.337505 | + | 1.11063i | ||||
\(214\) | −6.07641e23 | + | 1.05246e24i | −0.206206 | + | 0.357160i | ||||
\(215\) | −1.71367e24 | −0.553762 | ||||||||
\(216\) | −8.13517e23 | − | 6.65618e23i | −0.250382 | − | 0.204862i | ||||
\(217\) | 5.92812e24 | 1.73816 | ||||||||
\(218\) | 4.28638e24 | − | 7.42423e24i | 1.19756 | − | 2.07424i | ||||
\(219\) | −9.91668e23 | − | 3.26328e24i | −0.264060 | − | 0.868942i | ||||
\(220\) | 1.43108e23 | + | 2.47870e23i | 0.0363266 | + | 0.0629195i | ||||
\(221\) | −5.18838e21 | − | 8.98654e21i | −0.00125578 | − | 0.00217507i | ||||
\(222\) | 8.14124e23 | + | 1.89402e23i | 0.187925 | + | 0.0437199i | ||||
\(223\) | −1.66819e24 | + | 2.88940e24i | −0.367321 | + | 0.636218i | −0.989146 | − | 0.146938i | \(-0.953058\pi\) |
0.621825 | + | 0.783156i | \(0.286392\pi\) | |||||||
\(224\) | −1.14227e25 | −2.39974 | ||||||||
\(225\) | 2.60466e23 | + | 3.91459e24i | 0.0522197 | + | 0.784820i | ||||
\(226\) | 6.86987e24 | 1.31465 | ||||||||
\(227\) | −6.47136e23 | + | 1.12087e24i | −0.118229 | + | 0.204779i | −0.919066 | − | 0.394104i | \(-0.871055\pi\) |
0.800837 | + | 0.598882i | \(0.204388\pi\) | |||||||
\(228\) | 4.16216e24 | − | 4.44830e24i | 0.726110 | − | 0.776029i | ||||
\(229\) | −2.34275e24 | − | 4.05776e24i | −0.390349 | − | 0.676104i | 0.602147 | − | 0.798386i | \(-0.294312\pi\) |
−0.992495 | + | 0.122282i | \(0.960979\pi\) | |||||||
\(230\) | 2.50577e24 | + | 4.34013e24i | 0.398841 | + | 0.690813i | ||||
\(231\) | 1.80001e24 | − | 1.92376e24i | 0.273747 | − | 0.292566i | ||||
\(232\) | −1.39908e24 | + | 2.42327e24i | −0.203338 | + | 0.352191i | ||||
\(233\) | −9.39232e24 | −1.30478 | −0.652388 | − | 0.757885i | \(-0.726233\pi\) | ||||
−0.652388 | + | 0.757885i | \(0.726233\pi\) | |||||||
\(234\) | 1.94793e23 | − | 1.30436e23i | 0.0258707 | − | 0.0173233i | ||||
\(235\) | −5.61346e23 | −0.0712883 | ||||||||
\(236\) | −3.28515e23 | + | 5.69006e23i | −0.0399006 | + | 0.0691099i | ||||
\(237\) | 1.42069e25 | + | 3.30518e24i | 1.65060 | + | 0.384006i | ||||
\(238\) | 1.22693e24 | + | 2.12511e24i | 0.136384 | + | 0.236224i | ||||
\(239\) | −2.90328e24 | − | 5.02862e24i | −0.308824 | − | 0.534898i | 0.669282 | − | 0.743009i | \(-0.266602\pi\) |
−0.978105 | + | 0.208111i | \(0.933269\pi\) | |||||||
\(240\) | 1.56294e24 | + | 5.14315e24i | 0.159119 | + | 0.523614i | ||||
\(241\) | 5.25965e24 | − | 9.10997e24i | 0.512599 | − | 0.887847i | −0.487295 | − | 0.873238i | \(-0.662016\pi\) |
0.999893 | − | 0.0146093i | \(-0.00465047\pi\) | |||||||
\(242\) | −1.35859e25 | −1.26773 | ||||||||
\(243\) | −1.11397e25 | − | 1.06935e24i | −0.995424 | − | 0.0955552i | ||||
\(244\) | −5.78095e24 | −0.494773 | ||||||||
\(245\) | −7.63157e24 | + | 1.32183e25i | −0.625705 | + | 1.08375i | ||||
\(246\) | 7.15224e24 | + | 2.35359e25i | 0.561854 | + | 1.84889i | ||||
\(247\) | −2.19426e23 | − | 3.80056e23i | −0.0165185 | − | 0.0286108i | ||||
\(248\) | 2.02340e24 | + | 3.50463e24i | 0.145995 | + | 0.252871i | ||||
\(249\) | −2.05049e25 | − | 4.77037e24i | −1.41829 | − | 0.329959i | ||||
\(250\) | 8.24601e24 | − | 1.42825e25i | 0.546857 | − | 0.947184i | ||||
\(251\) | 1.24868e25 | 0.794103 | 0.397052 | − | 0.917796i | \(-0.370033\pi\) | ||||
0.397052 | + | 0.917796i | \(0.370033\pi\) | |||||||
\(252\) | −1.98296e25 | + | 1.32781e25i | −1.20951 | + | 0.809898i | ||||
\(253\) | 4.63318e24 | 0.271090 | ||||||||
\(254\) | 5.38218e24 | − | 9.32220e24i | 0.302137 | − | 0.523317i | ||||
\(255\) | 6.26356e23 | − | 6.69417e23i | 0.0337403 | − | 0.0360599i | ||||
\(256\) | −1.25580e25 | − | 2.17511e25i | −0.649235 | − | 1.12451i | ||||
\(257\) | −1.73432e25 | − | 3.00394e25i | −0.860662 | − | 1.49071i | −0.871291 | − | 0.490767i | \(-0.836717\pi\) |
0.0106290 | − | 0.999944i | \(-0.496617\pi\) | |||||||
\(258\) | 2.27772e25 | − | 2.43431e25i | 1.08516 | − | 1.15976i | ||||
\(259\) | −3.06487e24 | + | 5.30851e24i | −0.140205 | + | 0.242843i | ||||
\(260\) | −1.86770e23 | −0.00820515 | ||||||||
\(261\) | 1.97784e24 | + | 2.97253e25i | 0.0834574 | + | 1.25430i | ||||
\(262\) | 6.01916e24 | 0.243990 | ||||||||
\(263\) | 2.14679e25 | − | 3.71834e25i | 0.836091 | − | 1.44815i | −0.0570488 | − | 0.998371i | \(-0.518169\pi\) |
0.893139 | − | 0.449780i | \(-0.148498\pi\) | |||||||
\(264\) | 1.75169e24 | + | 4.07522e23i | 0.0655564 | + | 0.0152514i | ||||
\(265\) | −4.11511e24 | − | 7.12758e24i | −0.148013 | − | 0.256366i | ||||
\(266\) | 5.18891e25 | + | 8.98746e25i | 1.79399 | + | 3.10728i | ||||
\(267\) | −9.50928e24 | − | 3.12922e25i | −0.316067 | − | 1.04008i | ||||
\(268\) | 2.91209e24 | − | 5.04388e24i | 0.0930655 | − | 0.161194i | ||||
\(269\) | 3.27085e25 | 1.00522 | 0.502610 | − | 0.864513i | \(-0.332373\pi\) | ||||
0.502610 | + | 0.864513i | \(0.332373\pi\) | |||||||
\(270\) | 1.60295e25 | + | 1.31153e25i | 0.473807 | + | 0.387668i | ||||
\(271\) | −2.87108e25 | −0.816334 | −0.408167 | − | 0.912907i | \(-0.633832\pi\) | ||||
−0.408167 | + | 0.912907i | \(0.633832\pi\) | |||||||
\(272\) | −2.31436e24 | + | 4.00859e24i | −0.0633078 | + | 0.109652i | ||||
\(273\) | 4.99865e23 | + | 1.64491e24i | 0.0131566 | + | 0.0432945i | ||||
\(274\) | 3.51205e25 | + | 6.08304e25i | 0.889568 | + | 1.54078i | ||||
\(275\) | −3.35633e24 | − | 5.81333e24i | −0.0818222 | − | 0.141720i | ||||
\(276\) | −4.08772e25 | − | 9.50991e24i | −0.959259 | − | 0.223168i | ||||
\(277\) | 1.80008e23 | − | 3.11783e23i | 0.00406681 | − | 0.00704392i | −0.863985 | − | 0.503518i | \(-0.832039\pi\) |
0.868052 | + | 0.496474i | \(0.165372\pi\) | |||||||
\(278\) | −1.30270e25 | −0.283384 | ||||||||
\(279\) | 3.86605e25 | + | 1.90177e25i | 0.809884 | + | 0.398395i | ||||
\(280\) | −1.42659e25 | −0.287833 | ||||||||
\(281\) | 3.65789e25 | − | 6.33565e25i | 0.710910 | − | 1.23133i | −0.253606 | − | 0.967307i | \(-0.581617\pi\) |
0.964516 | − | 0.264024i | \(-0.0850499\pi\) | |||||||
\(282\) | 7.46111e24 | − | 7.97405e24i | 0.139697 | − | 0.149301i | ||||
\(283\) | 2.97023e25 | + | 5.14460e25i | 0.535837 | + | 0.928098i | 0.999122 | + | 0.0418882i | \(0.0133373\pi\) |
−0.463285 | + | 0.886209i | \(0.653329\pi\) | |||||||
\(284\) | 2.52348e25 | + | 4.37080e25i | 0.438690 | + | 0.759833i | ||||
\(285\) | 2.64897e25 | − | 2.83108e25i | 0.443819 | − | 0.474331i | ||||
\(286\) | −2.00555e23 | + | 3.47372e23i | −0.00323885 | + | 0.00560985i | ||||
\(287\) | −1.80392e26 | −2.80838 | ||||||||
\(288\) | −7.44935e25 | − | 3.66445e25i | −1.11814 | − | 0.550032i | ||||
\(289\) | −6.83025e25 | −0.988574 | ||||||||
\(290\) | 2.75674e25 | − | 4.77482e25i | 0.384784 | − | 0.666465i | ||||
\(291\) | 1.17991e25 | + | 2.74502e24i | 0.158845 | + | 0.0369546i | ||||
\(292\) | −2.64302e25 | − | 4.57785e25i | −0.343227 | − | 0.594486i | ||||
\(293\) | 3.47390e25 | + | 6.01697e25i | 0.435218 | + | 0.753820i | 0.997313 | − | 0.0732526i | \(-0.0233379\pi\) |
−0.562095 | + | 0.827072i | \(0.690005\pi\) | |||||||
\(294\) | −8.63337e25 | − | 2.84098e26i | −1.04360 | − | 3.43416i | ||||
\(295\) | −2.09081e24 | + | 3.62139e24i | −0.0243884 | + | 0.0422419i | ||||
\(296\) | −4.18444e24 | −0.0471058 | ||||||||
\(297\) | 1.79103e25 | − | 6.77134e24i | 0.194608 | − | 0.0735752i | ||||
\(298\) | −1.34640e26 | −1.41222 | ||||||||
\(299\) | −1.51169e24 | + | 2.61833e24i | −0.0153079 | + | 0.0265141i | ||||
\(300\) | 1.76797e25 | + | 5.81784e25i | 0.172862 | + | 0.568838i | ||||
\(301\) | 1.22239e26 | + | 2.11723e26i | 1.15414 | + | 1.99904i | ||||
\(302\) | 3.29862e25 | + | 5.71338e25i | 0.300787 | + | 0.520979i | ||||
\(303\) | 1.12422e26 | + | 2.61546e25i | 0.990159 | + | 0.230356i | ||||
\(304\) | −9.78784e25 | + | 1.69530e26i | −0.832749 | + | 1.44236i | ||||
\(305\) | −3.67924e25 | −0.302419 | ||||||||
\(306\) | 1.18403e24 | + | 1.77950e25i | 0.00940348 | + | 0.141327i | ||||
\(307\) | 4.34578e25 | 0.333514 | 0.166757 | − | 0.985998i | \(-0.446670\pi\) | ||||
0.166757 | + | 0.985998i | \(0.446670\pi\) | |||||||
\(308\) | 2.04161e25 | − | 3.53618e25i | 0.151423 | − | 0.262272i | ||||
\(309\) | −5.89660e25 | + | 6.30198e25i | −0.422705 | + | 0.451766i | ||||
\(310\) | −3.98690e25 | − | 6.90552e25i | −0.276273 | − | 0.478518i | ||||
\(311\) | −1.84547e25 | − | 3.19645e25i | −0.123630 | − | 0.214133i | 0.797567 | − | 0.603231i | \(-0.206120\pi\) |
−0.921197 | + | 0.389097i | \(0.872787\pi\) | |||||||
\(312\) | −8.01833e23 | + | 8.56957e23i | −0.00519350 | + | 0.00555055i | ||||
\(313\) | −8.25347e24 | + | 1.42954e25i | −0.0516918 | + | 0.0895327i | −0.890713 | − | 0.454565i | \(-0.849795\pi\) |
0.839022 | + | 0.544098i | \(0.183128\pi\) | |||||||
\(314\) | 1.72919e26 | 1.04732 | ||||||||
\(315\) | −1.26204e26 | + | 8.45074e25i | −0.739284 | + | 0.495033i | ||||
\(316\) | 2.26070e26 | 1.28094 | ||||||||
\(317\) | 9.36210e25 | − | 1.62156e26i | 0.513158 | − | 0.888816i | −0.486725 | − | 0.873555i | \(-0.661809\pi\) |
0.999884 | − | 0.0152609i | \(-0.00485788\pi\) | |||||||
\(318\) | 1.55945e26 | + | 3.62799e25i | 0.826962 | + | 0.192389i | ||||
\(319\) | −2.54861e25 | − | 4.41432e25i | −0.130768 | − | 0.226497i | ||||
\(320\) | 2.17115e25 | + | 3.76053e25i | 0.107799 | + | 0.186713i | ||||
\(321\) | −1.88331e25 | − | 6.19741e25i | −0.0904939 | − | 0.297788i | ||||
\(322\) | 3.57481e26 | − | 6.19175e26i | 1.66252 | − | 2.87956i | ||||
\(323\) | 3.33857e25 | 0.150291 | ||||||||
\(324\) | −1.71916e26 | + | 2.29794e25i | −0.749194 | + | 0.100142i | ||||
\(325\) | 4.38035e24 | 0.0184813 | ||||||||
\(326\) | −2.79655e25 | + | 4.84377e25i | −0.114245 | + | 0.197878i | ||||
\(327\) | 1.32851e26 | + | 4.37174e26i | 0.525551 | + | 1.72943i | ||||
\(328\) | −6.15717e25 | − | 1.06645e26i | −0.235888 | − | 0.408570i | ||||
\(329\) | 4.00416e25 | + | 6.93541e25i | 0.148578 | + | 0.257345i | ||||
\(330\) | −3.45152e25 | − | 8.02981e24i | −0.124055 | − | 0.0288608i | ||||
\(331\) | −5.54065e25 | + | 9.59669e25i | −0.192915 | + | 0.334139i | −0.946215 | − | 0.323538i | \(-0.895128\pi\) |
0.753300 | + | 0.657677i | \(0.228461\pi\) | |||||||
\(332\) | −3.26287e26 | −1.10065 | ||||||||
\(333\) | −3.70177e25 | + | 2.47874e25i | −0.120989 | + | 0.0810153i | ||||
\(334\) | −7.59888e26 | −2.40664 | ||||||||
\(335\) | 1.85337e25 | − | 3.21013e25i | 0.0568843 | − | 0.0985264i | ||||
\(336\) | 5.23948e26 | − | 5.59969e26i | 1.55857 | − | 1.66572i | ||||
\(337\) | −2.52321e26 | − | 4.37033e26i | −0.727512 | − | 1.26009i | −0.957932 | − | 0.286996i | \(-0.907343\pi\) |
0.230420 | − | 0.973091i | \(-0.425990\pi\) | |||||||
\(338\) | 2.36919e26 | + | 4.10356e26i | 0.662178 | + | 1.14693i | ||||
\(339\) | −2.50167e26 | + | 2.67365e26i | −0.677849 | + | 0.724450i | ||||
\(340\) | 7.10428e24 | − | 1.23050e25i | 0.0186634 | − | 0.0323260i | ||||
\(341\) | −7.37180e25 | −0.187781 | ||||||||
\(342\) | 5.00748e25 | + | 7.52584e26i | 0.123693 | + | 1.85901i | ||||
\(343\) | 1.37359e27 | 3.29055 | ||||||||
\(344\) | −8.34455e25 | + | 1.44532e26i | −0.193883 | + | 0.335815i | ||||
\(345\) | −2.60160e26 | − | 6.05250e25i | −0.586326 | − | 0.136406i | ||||
\(346\) | −1.67682e26 | − | 2.90434e26i | −0.366596 | − | 0.634963i | ||||
\(347\) | −2.34859e26 | − | 4.06788e26i | −0.498136 | − | 0.862797i | 0.501862 | − | 0.864948i | \(-0.332649\pi\) |
−0.999998 | + | 0.00215101i | \(0.999315\pi\) | |||||||
\(348\) | 1.34250e26 | + | 4.41775e26i | 0.276268 | + | 0.909115i | ||||
\(349\) | −6.57401e25 | + | 1.13865e26i | −0.131269 | + | 0.227365i | −0.924166 | − | 0.381991i | \(-0.875239\pi\) |
0.792897 | + | 0.609356i | \(0.208572\pi\) | |||||||
\(350\) | −1.03585e27 | −2.00717 | ||||||||
\(351\) | −2.01705e24 | + | 1.23309e25i | −0.00379307 | + | 0.0231884i | ||||
\(352\) | 1.42045e26 | 0.259255 | ||||||||
\(353\) | 3.40796e26 | − | 5.90276e26i | 0.603754 | − | 1.04573i | −0.388493 | − | 0.921452i | \(-0.627004\pi\) |
0.992247 | − | 0.124281i | \(-0.0396624\pi\) | |||||||
\(354\) | −2.36527e25 | − | 7.78339e25i | −0.0406768 | − | 0.133855i | ||||
\(355\) | 1.60605e26 | + | 2.78176e26i | 0.268140 | + | 0.464431i | ||||
\(356\) | −2.53444e26 | − | 4.38978e26i | −0.410825 | − | 0.711570i | ||||
\(357\) | −1.27385e26 | − | 2.96356e25i | −0.200494 | − | 0.0466442i | ||||
\(358\) | −7.82162e26 | + | 1.35474e27i | −1.19543 | + | 2.07055i | ||||
\(359\) | −7.00365e26 | −1.03952 | −0.519760 | − | 0.854313i | \(-0.673979\pi\) | ||||
−0.519760 | + | 0.854313i | \(0.673979\pi\) | |||||||
\(360\) | −9.30359e25 | − | 4.57658e25i | −0.134114 | − | 0.0659728i | ||||
\(361\) | 6.97731e26 | 0.976927 | ||||||||
\(362\) | −3.74726e26 | + | 6.49045e26i | −0.509652 | + | 0.882744i | ||||
\(363\) | 4.94731e26 | − | 5.28743e26i | 0.653657 | − | 0.698595i | ||||
\(364\) | 1.33226e25 | + | 2.30754e25i | 0.0171011 | + | 0.0296199i | ||||
\(365\) | −1.68213e26 | − | 2.91353e26i | −0.209790 | − | 0.363366i | ||||
\(366\) | 4.89024e26 | − | 5.22644e26i | 0.592623 | − | 0.633365i | ||||
\(367\) | 3.41973e26 | − | 5.92315e26i | 0.402716 | − | 0.697524i | −0.591337 | − | 0.806425i | \(-0.701400\pi\) |
0.994053 | + | 0.108900i | \(0.0347330\pi\) | |||||||
\(368\) | 1.34863e27 | 1.54344 | ||||||||
\(369\) | −1.17643e27 | − | 5.78705e26i | −1.30855 | − | 0.643695i | ||||
\(370\) | 8.24501e25 | 0.0891401 | ||||||||
\(371\) | −5.87073e26 | + | 1.01684e27i | −0.616973 | + | 1.06863i | ||||
\(372\) | 6.50392e26 | + | 1.51311e26i | 0.664468 | + | 0.154586i | ||||
\(373\) | −4.06305e26 | − | 7.03741e26i | −0.403562 | − | 0.698989i | 0.590591 | − | 0.806971i | \(-0.298895\pi\) |
−0.994153 | + | 0.107982i | \(0.965561\pi\) | |||||||
\(374\) | −1.52573e25 | − | 2.64264e25i | −0.0147342 | − | 0.0255203i | ||||
\(375\) | 2.55576e26 | + | 8.41022e26i | 0.239989 | + | 0.789731i | ||||
\(376\) | −2.73342e25 | + | 4.73442e25i | −0.0249594 | + | 0.0432310i | ||||
\(377\) | 3.32620e25 | 0.0295368 | ||||||||
\(378\) | 4.76985e26 | − | 2.91598e27i | 0.411947 | − | 2.51837i | ||||
\(379\) | −1.08255e27 | −0.909362 | −0.454681 | − | 0.890654i | \(-0.650247\pi\) | ||||
−0.454681 | + | 0.890654i | \(0.650247\pi\) | |||||||
\(380\) | 3.00452e26 | − | 5.20399e26i | 0.245498 | − | 0.425215i | ||||
\(381\) | 1.66814e26 | + | 5.48935e26i | 0.132593 | + | 0.436324i | ||||
\(382\) | 8.14192e26 | + | 1.41022e27i | 0.629596 | + | 1.09049i | ||||
\(383\) | 3.69091e25 | + | 6.39285e25i | 0.0277681 | + | 0.0480958i | 0.879576 | − | 0.475759i | \(-0.157827\pi\) |
−0.851807 | + | 0.523855i | \(0.824493\pi\) | |||||||
\(384\) | 8.35239e26 | + | 1.94315e26i | 0.611410 | + | 0.142242i | ||||
\(385\) | 1.29937e26 | − | 2.25057e26i | 0.0925538 | − | 0.160308i | ||||
\(386\) | 1.88149e27 | 1.30417 | ||||||||
\(387\) | 1.17964e26 | + | 1.77291e27i | 0.0795767 | + | 1.19597i | ||||
\(388\) | 1.87755e26 | 0.123270 | ||||||||
\(389\) | 2.91561e26 | − | 5.04999e26i | 0.186320 | − | 0.322715i | −0.757701 | − | 0.652602i | \(-0.773677\pi\) |
0.944020 | + | 0.329887i | \(0.107011\pi\) | |||||||
\(390\) | 1.57993e25 | − | 1.68855e25i | 0.00982787 | − | 0.0105035i | ||||
\(391\) | −1.15002e26 | − | 1.99190e26i | −0.0696388 | − | 0.120618i | ||||
\(392\) | 7.43223e26 | + | 1.28730e27i | 0.438143 | + | 0.758886i | ||||
\(393\) | −2.19188e26 | + | 2.34257e26i | −0.125804 | + | 0.134453i | ||||
\(394\) | −9.10400e26 | + | 1.57686e27i | −0.508770 | + | 0.881216i | ||||
\(395\) | 1.43880e27 | 0.782945 | ||||||||
\(396\) | 2.46587e26 | − | 1.65117e26i | 0.130668 | − | 0.0874970i | ||||
\(397\) | 2.64645e27 | 1.36572 | 0.682862 | − | 0.730547i | \(-0.260735\pi\) | ||||
0.682862 | + | 0.730547i | \(0.260735\pi\) | |||||||
\(398\) | 4.62961e26 | − | 8.01872e26i | 0.232687 | − | 0.403026i | ||||
\(399\) | −5.38734e27 | − | 1.25334e27i | −2.63730 | − | 0.613556i | ||||
\(400\) | −9.76962e26 | − | 1.69215e27i | −0.465852 | − | 0.806879i | ||||
\(401\) | −3.51251e25 | − | 6.08385e25i | −0.0163156 | − | 0.0282594i | 0.857752 | − | 0.514063i | \(-0.171860\pi\) |
−0.874068 | + | 0.485804i | \(0.838527\pi\) | |||||||
\(402\) | 2.09666e26 | + | 6.89949e26i | 0.0948758 | + | 0.312208i | ||||
\(403\) | 2.40523e25 | − | 4.16599e25i | 0.0106036 | − | 0.0183660i | ||||
\(404\) | 1.78894e27 | 0.768406 | ||||||||
\(405\) | −1.09415e27 | + | 1.46250e26i | −0.457928 | + | 0.0612095i | ||||
\(406\) | −7.86569e27 | −3.20785 | ||||||||
\(407\) | 3.81126e25 | − | 6.60130e25i | 0.0151470 | − | 0.0262354i | ||||
\(408\) | −2.59592e25 | − | 8.54238e25i | −0.0100545 | − | 0.0330862i | ||||
\(409\) | 7.77187e26 | + | 1.34613e27i | 0.293380 | + | 0.508149i | 0.974607 | − | 0.223923i | \(-0.0718865\pi\) |
−0.681227 | + | 0.732073i | \(0.738553\pi\) | |||||||
\(410\) | 1.21321e27 | + | 2.10134e27i | 0.446380 | + | 0.773153i | ||||
\(411\) | −3.64635e27 | − | 8.48307e26i | −1.30773 | − | 0.304238i | ||||
\(412\) | −6.68807e26 | + | 1.15841e27i | −0.233819 | + | 0.404986i | ||||
\(413\) | 5.96561e26 | 0.203320 | ||||||||
\(414\) | 4.31767e27 | − | 2.89116e27i | 1.43465 | − | 0.960657i | ||||
\(415\) | −2.07663e27 | −0.672749 | ||||||||
\(416\) | −4.63456e25 | + | 8.02729e25i | −0.0146396 | + | 0.0253565i | ||||
\(417\) | 4.74381e26 | − | 5.06993e26i | 0.146116 | − | 0.156161i | ||||
\(418\) | −6.45257e26 | − | 1.11762e27i | −0.193813 | − | 0.335693i | ||||
\(419\) | −1.62843e27 | − | 2.82052e27i | −0.477003 | − | 0.826194i | 0.522649 | − | 0.852548i | \(-0.324944\pi\) |
−0.999653 | + | 0.0263537i | \(0.991610\pi\) | |||||||
\(420\) | −1.60834e27 | + | 1.71891e27i | −0.459473 | + | 0.491061i | ||||
\(421\) | 2.21224e27 | − | 3.83171e27i | 0.616411 | − | 1.06765i | −0.373724 | − | 0.927540i | \(-0.621919\pi\) |
0.990135 | − | 0.140115i | \(-0.0447472\pi\) | |||||||
\(422\) | −1.49033e27 | −0.405044 | ||||||||
\(423\) | 3.86416e25 | + | 5.80751e26i | 0.0102443 | + | 0.153963i | ||||
\(424\) | −8.01525e26 | −0.207289 | ||||||||
\(425\) | −1.66618e26 | + | 2.88591e26i | −0.0420376 | + | 0.0728113i | ||||
\(426\) | −6.08622e27 | − | 1.41593e27i | −1.49812 | − | 0.348531i | ||||
\(427\) | 2.62445e27 | + | 4.54568e27i | 0.630298 | + | 1.09171i | ||||
\(428\) | −5.01946e26 | − | 8.69396e26i | −0.117624 | − | 0.203731i | ||||
\(429\) | −6.21598e24 | − | 2.04549e25i | −0.00142137 | − | 0.00467730i | ||||
\(430\) | 1.64421e27 | − | 2.84785e27i | 0.366892 | − | 0.635475i | ||||
\(431\) | 5.08936e27 | 1.10829 | 0.554143 | − | 0.832421i | \(-0.313046\pi\) | ||||
0.554143 | + | 0.832421i | \(0.313046\pi\) | |||||||
\(432\) | 5.21335e27 | − | 1.97101e27i | 1.10799 | − | 0.418898i | ||||
\(433\) | 7.54206e27 | 1.56447 | 0.782235 | − | 0.622983i | \(-0.214080\pi\) | ||||
0.782235 | + | 0.622983i | \(0.214080\pi\) | |||||||
\(434\) | −5.68783e27 | + | 9.85161e27i | −1.15161 | + | 1.99464i | ||||
\(435\) | 8.54420e26 | + | 2.81164e27i | 0.168863 | + | 0.555677i | ||||
\(436\) | 3.54079e27 | + | 6.13284e27i | 0.683113 | + | 1.18319i | ||||
\(437\) | −4.86365e27 | − | 8.42410e27i | −0.916026 | − | 1.58660i | ||||
\(438\) | 6.37453e27 | + | 1.48301e27i | 1.17211 | + | 0.272687i | ||||
\(439\) | −2.52780e27 | + | 4.37827e27i | −0.453800 | + | 0.786005i | −0.998618 | − | 0.0525490i | \(-0.983265\pi\) |
0.544818 | + | 0.838554i | \(0.316599\pi\) | |||||||
\(440\) | 1.77401e26 | 0.0310959 | ||||||||
\(441\) | 1.42005e28 | + | 6.98547e27i | 2.43052 | + | 1.19561i | ||||
\(442\) | 1.99123e25 | 0.00332803 | ||||||||
\(443\) | −1.15134e27 | + | 1.99417e27i | −0.187916 | + | 0.325480i | −0.944555 | − | 0.328353i | \(-0.893507\pi\) |
0.756639 | + | 0.653832i | \(0.226840\pi\) | |||||||
\(444\) | −4.71752e26 | + | 5.04184e26i | −0.0751957 | + | 0.0803652i | ||||
\(445\) | −1.61302e27 | − | 2.79384e27i | −0.251108 | − | 0.434932i | ||||
\(446\) | −3.20115e27 | − | 5.54455e27i | −0.486732 | − | 0.843045i | ||||
\(447\) | 4.90291e27 | − | 5.23998e27i | 0.728157 | − | 0.778216i | ||||
\(448\) | 3.09742e27 | − | 5.36488e27i | 0.449346 | − | 0.778290i | ||||
\(449\) | −6.87770e27 | −0.974668 | −0.487334 | − | 0.873216i | \(-0.662031\pi\) | ||||
−0.487334 | + | 0.873216i | \(0.662031\pi\) | |||||||
\(450\) | −6.75535e27 | − | 3.32306e27i | −0.935225 | − | 0.460052i | ||||
\(451\) | 2.24322e27 | 0.303402 | ||||||||
\(452\) | −2.83745e27 | + | 4.91461e27i | −0.374951 | + | 0.649435i | ||||
\(453\) | −3.42476e27 | − | 7.96756e26i | −0.442180 | − | 0.102871i | ||||
\(454\) | −1.24181e27 | − | 2.15088e27i | −0.156664 | − | 0.271350i | ||||
\(455\) | 8.47903e25 | + | 1.46861e26i | 0.0104527 | + | 0.0181045i | ||||
\(456\) | −1.09786e27 | − | 3.61272e27i | −0.132256 | − | 0.435215i | ||||
\(457\) | 1.81726e27 | − | 3.14759e27i | 0.213943 | − | 0.370560i | −0.739002 | − | 0.673703i | \(-0.764703\pi\) |
0.952945 | + | 0.303143i | \(0.0980360\pi\) | |||||||
\(458\) | 8.99114e27 | 1.03449 | ||||||||
\(459\) | −7.35674e26 | − | 6.01927e26i | −0.0827280 | − | 0.0676879i | ||||
\(460\) | −4.13983e27 | −0.455014 | ||||||||
\(461\) | −1.04407e27 | + | 1.80838e27i | −0.112168 | + | 0.194281i | −0.916644 | − | 0.399704i | \(-0.869113\pi\) |
0.804476 | + | 0.593985i | \(0.202446\pi\) | |||||||
\(462\) | 1.46994e27 | + | 4.83711e27i | 0.154368 | + | 0.507979i | ||||
\(463\) | 6.16509e26 | + | 1.06782e27i | 0.0632906 | + | 0.109622i | 0.895934 | − | 0.444186i | \(-0.146507\pi\) |
−0.832644 | + | 0.553809i | \(0.813174\pi\) | |||||||
\(464\) | −7.41851e27 | − | 1.28492e28i | −0.744523 | − | 1.28955i | ||||
\(465\) | 4.13936e27 | + | 9.63005e26i | 0.406142 | + | 0.0944871i | ||||
\(466\) | 9.01161e27 | − | 1.56086e28i | 0.864471 | − | 1.49731i | ||||
\(467\) | −3.72155e27 | −0.349057 | −0.174529 | − | 0.984652i | \(-0.555840\pi\) | ||||
−0.174529 | + | 0.984652i | \(0.555840\pi\) | |||||||
\(468\) | 1.28567e25 | + | 1.93226e26i | 0.00117910 | + | 0.0177208i | ||||
\(469\) | −5.28815e27 | −0.474229 | ||||||||
\(470\) | 5.38593e26 | − | 9.32870e26i | 0.0472316 | − | 0.0818076i | ||||
\(471\) | −6.29685e27 | + | 6.72975e27i | −0.540013 | + | 0.577138i | ||||
\(472\) | 2.03620e26 | + | 3.52680e26i | 0.0170777 | + | 0.0295794i | ||||
\(473\) | −1.52007e27 | − | 2.63284e27i | −0.124687 | − | 0.215965i | ||||
\(474\) | −1.91238e28 | + | 2.04385e28i | −1.53427 | + | 1.63974i | ||||
\(475\) | −7.04656e27 | + | 1.22050e28i | −0.552961 | + | 0.957757i | ||||
\(476\) | −2.02703e27 | −0.155592 | ||||||||
\(477\) | −7.09070e27 | + | 4.74801e27i | −0.532410 | + | 0.356507i | ||||
\(478\) | 1.11424e28 | 0.818437 | ||||||||
\(479\) | −2.00792e27 | + | 3.47783e27i | −0.144286 | + | 0.249911i | −0.929106 | − | 0.369813i | \(-0.879422\pi\) |
0.784820 | + | 0.619723i | \(0.212755\pi\) | |||||||
\(480\) | −7.97599e27 | − | 1.85558e27i | −0.560727 | − | 0.130451i | ||||
\(481\) | 2.48704e25 | + | 4.30768e25i | 0.00171064 | + | 0.00296292i | ||||
\(482\) | 1.00929e28 | + | 1.74814e28i | 0.679238 | + | 1.17648i | ||||
\(483\) | 1.10797e28 | + | 3.64600e28i | 0.729598 | + | 2.40088i | ||||
\(484\) | 5.61136e27 | − | 9.71916e27i | 0.361570 | − | 0.626257i | ||||
\(485\) | 1.19495e27 | 0.0753463 | ||||||||
\(486\) | 1.24653e28 | − | 1.74865e28i | 0.769167 | − | 1.07900i | ||||
\(487\) | −4.76670e27 | −0.287848 | −0.143924 | − | 0.989589i | \(-0.545972\pi\) | ||||
−0.143924 | + | 0.989589i | \(0.545972\pi\) | |||||||
\(488\) | −1.79157e27 | + | 3.10309e27i | −0.105883 | + | 0.183394i | ||||
\(489\) | −8.66758e26 | − | 2.85224e27i | −0.0501366 | − | 0.164984i | ||||
\(490\) | −1.46445e28 | − | 2.53649e28i | −0.829114 | − | 1.43607i | ||||
\(491\) | 8.50290e27 | + | 1.47275e28i | 0.471207 | + | 0.816154i | 0.999458 | − | 0.0329344i | \(-0.0104852\pi\) |
−0.528251 | + | 0.849088i | \(0.677152\pi\) | |||||||
\(492\) | −1.97913e28 | − | 4.60436e27i | −1.07360 | − | 0.249768i | ||||
\(493\) | −1.26521e27 | + | 2.19140e27i | −0.0671844 | + | 0.116367i | ||||
\(494\) | 8.42126e26 | 0.0437768 | ||||||||
\(495\) | 1.56938e27 | − | 1.05087e27i | 0.0798682 | − | 0.0534806i | ||||
\(496\) | −2.14579e28 | −1.06913 | ||||||||
\(497\) | 2.29123e28 | − | 3.96853e28i | 1.11771 | − | 1.93592i | ||||
\(498\) | 2.76014e28 | − | 2.94989e28i | 1.31832 | − | 1.40896i | ||||
\(499\) | −8.15409e27 | − | 1.41233e28i | −0.381346 | − | 0.660511i | 0.609909 | − | 0.792472i | \(-0.291206\pi\) |
−0.991255 | + | 0.131960i | \(0.957873\pi\) | |||||||
\(500\) | 6.81168e27 | + | 1.17982e28i | 0.311939 | + | 0.540293i | ||||
\(501\) | 2.76714e28 | − | 2.95738e28i | 1.24089 | − | 1.32620i | ||||
\(502\) | −1.19807e28 | + | 2.07511e28i | −0.526128 | + | 0.911281i | ||||
\(503\) | −6.10168e27 | −0.262413 | −0.131207 | − | 0.991355i | \(-0.541885\pi\) | ||||
−0.131207 | + | 0.991355i | \(0.541885\pi\) | |||||||
\(504\) | 9.82029e26 | + | 1.47591e28i | 0.0413622 | + | 0.621640i | ||||
\(505\) | 1.13855e28 | 0.469671 | ||||||||
\(506\) | −4.44538e27 | + | 7.69963e27i | −0.179609 | + | 0.311092i | ||||
\(507\) | −2.45979e28 | − | 5.72259e27i | −0.973451 | − | 0.226469i | ||||
\(508\) | 4.44598e27 | + | 7.70067e27i | 0.172345 | + | 0.298511i | ||||
\(509\) | −5.41998e27 | − | 9.38769e27i | −0.205807 | − | 0.356469i | 0.744582 | − | 0.667531i | \(-0.232649\pi\) |
−0.950390 | + | 0.311062i | \(0.899315\pi\) | |||||||
\(510\) | 5.11499e26 | + | 1.68319e27i | 0.0190265 | + | 0.0626103i | ||||
\(511\) | −2.39977e28 | + | 4.15653e28i | −0.874481 | + | 1.51465i | ||||
\(512\) | 3.06122e28 | 1.09285 | ||||||||
\(513\) | −3.11130e28 | − | 2.54566e28i | −1.08820 | − | 0.890364i | ||||
\(514\) | 6.65610e28 | 2.28091 | ||||||||
\(515\) | −4.25656e27 | + | 7.37258e27i | −0.142917 | + | 0.247539i | ||||
\(516\) | 8.00707e27 | + | 2.63488e28i | 0.263422 | + | 0.866842i | ||||
\(517\) | −4.97930e26 | − | 8.62440e26i | −0.0160516 | − | 0.0278021i | ||||
\(518\) | −5.88128e27 | − | 1.01867e28i | −0.185784 | − | 0.321788i | ||||
\(519\) | 1.74094e28 | + | 4.05023e27i | 0.538924 | + | 0.125378i | ||||
\(520\) | −5.78816e25 | + | 1.00254e26i | −0.00175592 | + | 0.00304135i | ||||
\(521\) | 6.28643e27 | 0.186899 | 0.0934497 | − | 0.995624i | \(-0.470211\pi\) | ||||
0.0934497 | + | 0.995624i | \(0.470211\pi\) | |||||||
\(522\) | −5.12964e28 | − | 2.52335e28i | −1.49467 | − | 0.735254i | ||||
\(523\) | 3.14604e28 | 0.898454 | 0.449227 | − | 0.893418i | \(-0.351699\pi\) | ||||
0.449227 | + | 0.893418i | \(0.351699\pi\) | |||||||
\(524\) | −2.48609e27 | + | 4.30603e27i | −0.0695885 | + | 0.120531i | ||||
\(525\) | 3.77206e28 | − | 4.03139e28i | 1.03492 | − | 1.10607i | ||||
\(526\) | 4.11954e28 | + | 7.13524e28i | 1.10789 | + | 1.91893i | ||||
\(527\) | 1.82979e27 | + | 3.16928e27i | 0.0482380 | + | 0.0835506i | ||||
\(528\) | −6.51545e27 | + | 6.96338e27i | −0.168379 | + | 0.179955i | ||||
\(529\) | −1.37715e28 | + | 2.38529e28i | −0.348896 | + | 0.604305i | ||||
\(530\) | 1.57932e28 | 0.392260 | ||||||||
\(531\) | 3.89050e27 | + | 1.91380e27i | 0.0947355 | + | 0.0466019i | ||||
\(532\) | −8.57268e28 | −2.04665 | ||||||||
\(533\) | −7.31909e26 | + | 1.26770e27i | −0.0171325 | + | 0.0296744i | ||||
\(534\) | 6.11265e28 | + | 1.42208e28i | 1.40296 | + | 0.326393i | ||||
\(535\) | −3.19459e27 | − | 5.53319e27i | −0.0718953 | − | 0.124526i | ||||
\(536\) | −1.80496e27 | − | 3.12629e27i | −0.0398325 | − | 0.0689920i | ||||
\(537\) | −2.42422e28 | − | 7.97737e28i | −0.524617 | − | 1.72635i | ||||
\(538\) | −3.13827e28 | + | 5.43564e28i | −0.666003 | + | 1.15355i | ||||
\(539\) | −2.70776e28 | −0.563545 | ||||||||
\(540\) | −1.60032e28 | + | 6.05030e27i | −0.326642 | + | 0.123493i | ||||
\(541\) | −1.83966e28 | −0.368270 | −0.184135 | − | 0.982901i | \(-0.558948\pi\) | ||||
−0.184135 | + | 0.982901i | \(0.558948\pi\) | |||||||
\(542\) | 2.75470e28 | − | 4.77129e28i | 0.540857 | − | 0.936791i | ||||
\(543\) | −1.16142e28 | − | 3.82188e28i | −0.223661 | − | 0.736002i | ||||
\(544\) | −3.52575e27 | − | 6.10678e27i | −0.0665983 | − | 0.115352i | ||||
\(545\) | 2.25351e28 | + | 3.90319e28i | 0.417538 | + | 0.723197i | ||||
\(546\) | −3.21318e27 | − | 7.47532e26i | −0.0583999 | − | 0.0135865i | ||||
\(547\) | 1.62274e28 | − | 2.81068e28i | 0.289323 | − | 0.501123i | −0.684325 | − | 0.729177i | \(-0.739903\pi\) |
0.973648 | + | 0.228054i | \(0.0732364\pi\) | |||||||
\(548\) | −5.80230e28 | −1.01486 | ||||||||
\(549\) | 2.53269e27 | + | 3.80642e28i | 0.0434582 | + | 0.653142i | ||||
\(550\) | 1.28811e28 | 0.216843 | ||||||||
\(551\) | −5.35077e28 | + | 9.26781e28i | −0.883741 | + | 1.53068i | ||||
\(552\) | −1.77729e28 | + | 1.89948e28i | −0.288004 | + | 0.307804i | ||||
\(553\) | −1.02632e29 | − | 1.77763e29i | −1.63180 | − | 2.82637i | ||||
\(554\) | 3.45423e26 | + | 5.98290e26i | 0.00538888 | + | 0.00933381i | ||||
\(555\) | −3.00243e27 | + | 3.20884e27i | −0.0459617 | + | 0.0491215i | ||||
\(556\) | 5.38054e27 | − | 9.31936e27i | 0.0808240 | − | 0.139991i | ||||
\(557\) | 1.37986e28 | 0.203402 | 0.101701 | − | 0.994815i | \(-0.467571\pi\) | ||||
0.101701 | + | 0.994815i | \(0.467571\pi\) | |||||||
\(558\) | −6.86978e28 | + | 4.60008e28i | −0.993765 | + | 0.665436i | ||||
\(559\) | 1.98385e27 | 0.0281634 | ||||||||
\(560\) | 3.78221e28 | − | 6.55098e28i | 0.526952 | − | 0.912708i | ||||
\(561\) | 1.58407e27 | + | 3.68528e26i | 0.0216603 | + | 0.00503918i | ||||
\(562\) | 7.01924e28 | + | 1.21577e29i | 0.942018 | + | 1.63162i | ||||
\(563\) | −7.58241e27 | − | 1.31331e28i | −0.0998778 | − | 0.172993i | 0.811756 | − | 0.583997i | \(-0.198512\pi\) |
−0.911634 | + | 0.411003i | \(0.865179\pi\) | |||||||
\(564\) | 2.62287e27 | + | 8.63108e27i | 0.0339115 | + | 0.111592i | ||||
\(565\) | −1.80587e28 | + | 3.12786e28i | −0.229181 | + | 0.396953i | ||||
\(566\) | −1.13994e29 | −1.42006 | ||||||||
\(567\) | 9.61161e28 | + | 1.24749e29i | 1.17537 | + | 1.52551i | ||||
\(568\) | 3.12820e28 | 0.375523 | ||||||||
\(569\) | 4.79052e28 | − | 8.29742e28i | 0.564552 | − | 0.977832i | −0.432540 | − | 0.901615i | \(-0.642382\pi\) |
0.997091 | − | 0.0762171i | \(-0.0242842\pi\) | |||||||
\(570\) | 2.16322e28 | + | 7.11850e28i | 0.250273 | + | 0.823574i | ||||
\(571\) | −3.78976e28 | − | 6.56405e28i | −0.430459 | − | 0.745577i | 0.566453 | − | 0.824094i | \(-0.308315\pi\) |
−0.996913 | + | 0.0785163i | \(0.974982\pi\) | |||||||
\(572\) | −1.65670e26 | − | 2.86949e26i | −0.00184751 | − | 0.00319997i | ||||
\(573\) | −8.45327e28 | − | 1.96662e28i | −0.925553 | − | 0.215326i | ||||
\(574\) | 1.73080e29 | − | 2.99783e29i | 1.86068 | − | 3.22279i | ||||
\(575\) | 9.70921e28 | 1.02488 | ||||||||
\(576\) | 3.74107e28 | − | 2.50506e28i | 0.387757 | − | 0.259647i | ||||
\(577\) | 4.37885e28 | 0.445671 | 0.222835 | − | 0.974856i | \(-0.428469\pi\) | ||||
0.222835 | + | 0.974856i | \(0.428469\pi\) | |||||||
\(578\) | 6.55339e28 | − | 1.13508e29i | 0.654974 | − | 1.13445i | ||||
\(579\) | −6.85147e28 | + | 7.32249e28i | −0.672448 | + | 0.718677i | ||||
\(580\) | 2.27723e28 | + | 3.94427e28i | 0.219489 | + | 0.380166i | ||||
\(581\) | 1.48129e29 | + | 2.56566e29i | 1.40213 | + | 2.42857i | ||||
\(582\) | −1.58826e28 | + | 1.69745e28i | −0.147649 | + | 0.157800i | ||||
\(583\) | 7.30044e27 | − | 1.26447e28i | 0.0666544 | − | 0.115449i | ||||
\(584\) | −3.27638e28 | −0.293806 | ||||||||
\(585\) | 8.18256e25 | + | 1.22977e27i | 0.000720696 | + | 0.0108315i | ||||
\(586\) | −1.33323e29 | −1.15340 | ||||||||
\(587\) | −5.34715e28 | + | 9.26153e28i | −0.454383 | + | 0.787014i | −0.998652 | − | 0.0518960i | \(-0.983474\pi\) |
0.544269 | + | 0.838910i | \(0.316807\pi\) | |||||||
\(588\) | 2.38898e29 | + | 5.55786e28i | 1.99412 | + | 0.463923i | ||||
\(589\) | 7.73849e28 | + | 1.34035e29i | 0.634521 | + | 1.09902i | ||||
\(590\) | −4.01212e27 | − | 6.94919e27i | −0.0323167 | − | 0.0559743i | ||||
\(591\) | −2.82168e28 | − | 9.28529e28i | −0.223274 | − | 0.734729i | ||||
\(592\) | 1.10938e28 | − | 1.92151e28i | 0.0862391 | − | 0.149370i | ||||
\(593\) | −5.57095e28 | −0.425456 | −0.212728 | − | 0.977111i | \(-0.568235\pi\) | ||||
−0.212728 | + | 0.977111i | \(0.568235\pi\) | |||||||
\(594\) | −5.93145e27 | + | 3.62610e28i | −0.0445044 | + | 0.272071i | ||||
\(595\) | −1.29009e28 | −0.0951023 | ||||||||
\(596\) | 5.56100e28 | − | 9.63193e28i | 0.402779 | − | 0.697634i | ||||
\(597\) | 1.43489e28 | + | 4.72180e28i | 0.102115 | + | 0.336029i | ||||
\(598\) | −2.90084e27 | − | 5.02440e27i | −0.0202843 | − | 0.0351335i | ||||
\(599\) | −3.25489e28 | − | 5.63763e28i | −0.223642 | − | 0.387360i | 0.732269 | − | 0.681016i | \(-0.238461\pi\) |
−0.955911 | + | 0.293656i | \(0.905128\pi\) | |||||||
\(600\) | 3.67080e28 | + | 8.53995e27i | 0.247840 | + | 0.0576590i | ||||
\(601\) | 4.89358e28 | − | 8.47593e28i | 0.324672 | − | 0.562348i | −0.656774 | − | 0.754087i | \(-0.728079\pi\) |
0.981446 | + | 0.191739i | \(0.0614128\pi\) | |||||||
\(602\) | −4.69135e29 | −3.05868 | ||||||||
\(603\) | −3.44868e28 | − | 1.69646e28i | −0.220964 | − | 0.108696i | ||||
\(604\) | −5.44970e28 | −0.343150 | ||||||||
\(605\) | 3.57130e28 | − | 6.18568e28i | 0.221002 | − | 0.382786i | ||||
\(606\) | −1.51330e29 | + | 1.61734e29i | −0.920371 | + | 0.983646i | ||||
\(607\) | 3.82932e28 | + | 6.63258e28i | 0.228897 | + | 0.396462i | 0.957482 | − | 0.288494i | \(-0.0931547\pi\) |
−0.728584 | + | 0.684956i | \(0.759821\pi\) | |||||||
\(608\) | −1.49110e29 | − | 2.58267e29i | −0.876032 | − | 1.51733i | ||||
\(609\) | 2.86430e29 | − | 3.06121e29i | 1.65400 | − | 1.76771i | ||||
\(610\) | 3.53010e28 | − | 6.11432e28i | 0.200366 | − | 0.347044i | ||||
\(611\) | 6.49849e26 | 0.00362560 | ||||||||
\(612\) | −1.32194e28 | − | 6.50282e27i | −0.0724972 | − | 0.0356625i | ||||
\(613\) | 1.41320e29 | 0.761847 | 0.380923 | − | 0.924607i | \(-0.375606\pi\) | ||||
0.380923 | + | 0.924607i | \(0.375606\pi\) | |||||||
\(614\) | −4.16962e28 | + | 7.22200e28i | −0.220968 | + | 0.382727i | ||||
\(615\) | −1.25960e29 | − | 2.93041e28i | −0.656212 | − | 0.152665i | ||||
\(616\) | −1.26543e28 | − | 2.19179e28i | −0.0648097 | − | 0.112254i | ||||
\(617\) | 7.66366e27 | + | 1.32739e28i | 0.0385871 | + | 0.0668348i | 0.884674 | − | 0.466210i | \(-0.154381\pi\) |
−0.846087 | + | 0.533045i | \(0.821048\pi\) | |||||||
\(618\) | −4.81532e28 | − | 1.58458e29i | −0.238367 | − | 0.784394i | ||||
\(619\) | −1.32166e29 | + | 2.28919e29i | −0.643234 | + | 1.11411i | 0.341472 | + | 0.939892i | \(0.389074\pi\) |
−0.984706 | + | 0.174222i | \(0.944259\pi\) | |||||||
\(620\) | 6.58682e28 | 0.315183 | ||||||||
\(621\) | −4.47086e28 | + | 2.73319e29i | −0.210343 | + | 1.28590i | ||||
\(622\) | 7.08268e28 | 0.327641 | ||||||||
\(623\) | −2.30118e29 | + | 3.98577e29i | −1.04671 | + | 1.81296i | ||||
\(624\) | −1.80935e27 | − | 5.95402e27i | −0.00809253 | − | 0.0266301i | ||||
\(625\) | −4.60686e28 | − | 7.97932e28i | −0.202612 | − | 0.350934i | ||||
\(626\) | −1.58379e28 | − | 2.74320e28i | −0.0684961 | − | 0.118639i | ||||
\(627\) | 6.69932e28 | + | 1.55857e28i | 0.284919 | + | 0.0662852i | ||||
\(628\) | −7.14204e28 | + | 1.23704e29i | −0.298708 | + | 0.517377i | ||||
\(629\) | −3.78404e27 | −0.0155641 | ||||||||
\(630\) | −1.93499e28 | − | 2.90813e29i | −0.0782712 | − | 1.17635i | ||||
\(631\) | −4.04710e29 | −1.61004 | −0.805019 | − | 0.593249i | \(-0.797845\pi\) | ||||
−0.805019 | + | 0.593249i | \(0.797845\pi\) | |||||||
\(632\) | 7.00610e28 | − | 1.21349e29i | 0.274124 | − | 0.474797i | ||||
\(633\) | 5.42705e28 | − | 5.80015e28i | 0.208845 | − | 0.223203i | ||||
\(634\) | 1.79652e29 | + | 3.11167e29i | 0.679979 | + | 1.17776i | ||||
\(635\) | 2.82961e28 | + | 4.90103e28i | 0.105342 | + | 0.182458i | ||||
\(636\) | −9.03637e28 | + | 9.65761e28i | −0.330898 | + | 0.353647i | ||||
\(637\) | 8.83477e27 | − | 1.53023e28i | 0.0318223 | − | 0.0551178i | ||||
\(638\) | 9.78122e28 | 0.346558 | ||||||||
\(639\) | 2.76736e29 | − | 1.85306e29i | 0.964511 | − | 0.645847i | ||||
\(640\) | 8.45885e28 | 0.290016 | ||||||||
\(641\) | 1.12832e29 | − | 1.95430e29i | 0.380559 | − | 0.659148i | −0.610583 | − | 0.791952i | \(-0.709065\pi\) |
0.991142 | + | 0.132804i | \(0.0423982\pi\) | |||||||
\(642\) | 1.21061e29 | + | 2.81643e28i | 0.401686 | + | 0.0934505i | ||||
\(643\) | 1.19319e28 | + | 2.06667e28i | 0.0389489 | + | 0.0674615i | 0.884843 | − | 0.465890i | \(-0.154266\pi\) |
−0.845894 | + | 0.533351i | \(0.820932\pi\) | |||||||
\(644\) | 2.95300e29 | + | 5.11474e29i | 0.948334 | + | 1.64256i | ||||
\(645\) | 5.09603e28 | + | 1.67695e29i | 0.161011 | + | 0.529838i | ||||
\(646\) | −3.20325e28 | + | 5.54818e28i | −0.0995746 | + | 0.172468i | ||||
\(647\) | 3.52013e29 | 1.07662 | 0.538311 | − | 0.842746i | \(-0.319062\pi\) | ||||
0.538311 | + | 0.842746i | \(0.319062\pi\) | |||||||
\(648\) | −4.09435e28 | + | 9.94023e28i | −0.123211 | + | 0.299129i | ||||
\(649\) | −7.41842e27 | −0.0219655 | ||||||||
\(650\) | −4.20279e27 | + | 7.27945e27i | −0.0122447 | + | 0.0212084i | ||||
\(651\) | −1.76288e29 | − | 5.80109e29i | −0.505384 | − | 1.66307i | ||||
\(652\) | −2.31011e28 | − | 4.00123e28i | −0.0651678 | − | 0.112874i | ||||
\(653\) | 3.96125e28 | + | 6.86109e28i | 0.109962 | + | 0.190460i | 0.915755 | − | 0.401738i | \(-0.131594\pi\) |
−0.805792 | + | 0.592198i | \(0.798260\pi\) | |||||||
\(654\) | −8.53981e29 | − | 1.98675e29i | −2.33282 | − | 0.542721i | ||||
\(655\) | −1.58225e28 | + | 2.74053e28i | −0.0425345 | + | 0.0736718i | ||||
\(656\) | 6.52959e29 | 1.72741 | ||||||||
\(657\) | −2.89845e29 | + | 1.94084e29i | −0.754623 | + | 0.505304i | ||||
\(658\) | −1.53674e29 | −0.393758 | ||||||||
\(659\) | 3.29297e29 | − | 5.70360e29i | 0.830408 | − | 1.43831i | −0.0673069 | − | 0.997732i | \(-0.521441\pi\) |
0.897715 | − | 0.440577i | \(-0.145226\pi\) | |||||||
\(660\) | 2.00002e28 | − | 2.13751e28i | 0.0496389 | − | 0.0530515i | ||||
\(661\) | −2.88465e29 | − | 4.99637e29i | −0.704658 | − | 1.22050i | −0.966815 | − | 0.255478i | \(-0.917767\pi\) |
0.262157 | − | 0.965025i | \(-0.415566\pi\) | |||||||
\(662\) | −1.06321e29 | − | 1.84154e29i | −0.255630 | − | 0.442764i | ||||
\(663\) | −7.25108e26 | + | 7.74958e26i | −0.00171597 | + | 0.00183394i | ||||
\(664\) | −1.01119e29 | + | 1.75144e29i | −0.235542 | + | 0.407971i | ||||
\(665\) | −5.45601e29 | −1.25097 | ||||||||
\(666\) | −5.67564e27 | − | 8.53002e28i | −0.0128096 | − | 0.192518i | ||||
\(667\) | 7.37264e29 | 1.63795 | ||||||||
\(668\) | 3.13856e29 | − | 5.43614e29i | 0.686400 | − | 1.18888i | ||||
\(669\) | 3.32356e29 | + | 7.73213e28i | 0.715533 | + | 0.166466i | ||||
\(670\) | 3.55649e28 | + | 6.16003e28i | 0.0753766 | + | 0.130556i | ||||
\(671\) | −3.26359e28 | − | 5.65270e28i | −0.0680939 | − | 0.117942i | ||||
\(672\) | 3.39682e29 | + | 1.11779e30i | 0.697743 | + | 2.29606i | ||||
\(673\) | −1.15481e29 | + | 2.00019e29i | −0.233536 | + | 0.404496i | −0.958846 | − | 0.283926i | \(-0.908363\pi\) |
0.725310 | + | 0.688422i | \(0.241696\pi\) | |||||||
\(674\) | 9.68375e29 | 1.92803 | ||||||||
\(675\) | 3.75325e29 | − | 1.41899e29i | 0.735730 | − | 0.278156i | ||||
\(676\) | −3.91417e29 | −0.755440 | ||||||||
\(677\) | −1.41392e29 | + | 2.44899e29i | −0.268686 | + | 0.465378i | −0.968523 | − | 0.248925i | \(-0.919923\pi\) |
0.699837 | + | 0.714303i | \(0.253256\pi\) | |||||||
\(678\) | −2.04293e29 | − | 6.72266e29i | −0.382245 | − | 1.25785i | ||||
\(679\) | −8.52376e28 | − | 1.47636e29i | −0.157036 | − | 0.271994i | ||||
\(680\) | −4.40336e27 | − | 7.62684e27i | −0.00798805 | − | 0.0138357i | ||||
\(681\) | 1.28930e29 | + | 2.99949e28i | 0.230307 | + | 0.0535800i | ||||
\(682\) | 7.07299e28 | − | 1.22508e29i | 0.124413 | − | 0.215490i | ||||
\(683\) | 6.52113e29 | 1.12955 | 0.564775 | − | 0.825245i | \(-0.308963\pi\) | ||||
0.564775 | + | 0.825245i | \(0.308963\pi\) | |||||||
\(684\) | −5.59070e29 | − | 2.75016e29i | −0.953625 | − | 0.469103i | ||||
\(685\) | −3.69282e29 | −0.620308 | ||||||||
\(686\) | −1.31791e30 | + | 2.28269e30i | −2.18014 | + | 3.77611i | ||||
\(687\) | −3.27413e29 | + | 3.49922e29i | −0.533397 | + | 0.570067i | ||||
\(688\) | −4.42464e29 | − | 7.66370e29i | −0.709903 | − | 1.22959i | ||||
\(689\) | 4.76390e27 | + | 8.25132e27i | 0.00752768 | + | 0.0130383i | ||||
\(690\) | 3.50197e29 | − | 3.74273e29i | 0.545001 | − | 0.582469i | ||||
\(691\) | −6.03623e29 | + | 1.04551e30i | −0.925223 | + | 1.60253i | −0.134021 | + | 0.990979i | \(0.542789\pi\) |
−0.791202 | + | 0.611555i | \(0.790544\pi\) | |||||||
\(692\) | 2.77030e29 | 0.418228 | ||||||||
\(693\) | −2.41781e29 | − | 1.18936e29i | −0.359521 | − | 0.176854i | ||||
\(694\) | 9.01357e29 | 1.32015 | ||||||||
\(695\) | 3.42440e28 | − | 5.93123e28i | 0.0494019 | − | 0.0855666i | ||||
\(696\) | 2.78740e29 | + | 6.48477e28i | 0.396098 | + | 0.0921505i | ||||
\(697\) | −5.56801e28 | − | 9.64408e28i | −0.0779392 | − | 0.134995i | ||||
\(698\) | −1.26151e29 | − | 2.18500e29i | −0.173943 | − | 0.301279i | ||||
\(699\) | 2.79304e29 | + | 9.19106e29i | 0.379374 | + | 1.24840i | ||||
\(700\) | 4.27836e29 | − | 7.41034e29i | 0.572464 | − | 0.991537i | ||||
\(701\) | −1.24828e30 | −1.64541 | −0.822705 | − | 0.568468i | \(-0.807536\pi\) | ||||
−0.822705 | + | 0.568468i | \(0.807536\pi\) | |||||||
\(702\) | −1.85567e28 | − | 1.51831e28i | −0.0240970 | − | 0.0197161i | ||||
\(703\) | −1.60034e29 | −0.204730 | ||||||||
\(704\) | −3.85173e28 | + | 6.67140e28i | −0.0485449 | + | 0.0840821i | ||||
\(705\) | 1.66931e28 | + | 5.49318e28i | 0.0207277 | + | 0.0682084i | ||||
\(706\) | 6.53964e29 | + | 1.13270e30i | 0.800027 | + | 1.38569i | ||||
\(707\) | −8.12146e29 | − | 1.40668e30i | −0.978882 | − | 1.69547i | ||||
\(708\) | 6.54505e28 | + | 1.52268e28i | 0.0777256 | + | 0.0180825i | ||||
\(709\) | −3.49060e29 | + | 6.04589e29i | −0.408427 | + | 0.707416i | −0.994714 | − | 0.102688i | \(-0.967256\pi\) |
0.586287 | + | 0.810103i | \(0.300589\pi\) | |||||||
\(710\) | −6.16380e29 | −0.710617 | ||||||||
\(711\) | −9.90432e28 | − | 1.48854e30i | −0.112511 | − | 1.69094i | ||||
\(712\) | −3.14178e29 | −0.351671 | ||||||||
\(713\) | 5.33129e29 | − | 9.23407e29i | 0.588021 | − | 1.01848i | ||||
\(714\) | 1.71471e29 | − | 1.83260e29i | 0.186363 | − | 0.199176i | ||||
\(715\) | −1.05439e27 | − | 1.82626e27i | −0.00112925 | − | 0.00195591i | ||||
\(716\) | −6.46110e29 | − | 1.11910e30i | −0.681899 | − | 1.18108i | ||||
\(717\) | −4.05751e29 | + | 4.33645e29i | −0.421996 | + | 0.451007i | ||||
\(718\) | 6.71976e29 | − | 1.16390e30i | 0.688727 | − | 1.19291i | ||||
\(719\) | −6.00175e29 | −0.606212 | −0.303106 | − | 0.952957i | \(-0.598024\pi\) | ||||
−0.303106 | + | 0.952957i | \(0.598024\pi\) | |||||||
\(720\) | 4.56817e29 | − | 3.05889e29i | 0.454727 | − | 0.304490i | ||||
\(721\) | 1.21451e30 | 1.19146 | ||||||||
\(722\) | −6.69449e29 | + | 1.15952e30i | −0.647257 | + | 1.12108i | ||||
\(723\) | −1.04789e30 | − | 2.43786e29i | −0.998531 | − | 0.232304i | ||||
\(724\) | −3.09545e29 | − | 5.36148e29i | −0.290716 | − | 0.503535i | ||||
\(725\) | −5.34082e29 | − | 9.25057e29i | −0.494377 | − | 0.856287i | ||||
\(726\) | 4.04011e29 | + | 1.32948e30i | 0.368603 | + | 1.21296i | ||||
\(727\) | 4.45450e29 | − | 7.71542e29i | 0.400578 | − | 0.693822i | −0.593218 | − | 0.805042i | \(-0.702143\pi\) |
0.993796 | + | 0.111220i | \(0.0354759\pi\) | |||||||
\(728\) | 1.65151e28 | 0.0146387 | ||||||||
\(729\) | 2.26624e29 | + | 1.12190e30i | 0.198001 | + | 0.980202i | ||||
\(730\) | 6.45578e29 | 0.555979 | ||||||||
\(731\) | −7.54609e28 | + | 1.30702e29i | −0.0640603 | + | 0.110956i | ||||
\(732\) | 1.71911e29 | + | 5.65708e29i | 0.143859 | + | 0.473397i | ||||
\(733\) | 9.32674e29 | + | 1.61544e30i | 0.769375 | + | 1.33260i | 0.937902 | + | 0.346900i | \(0.112766\pi\) |
−0.168527 | + | 0.985697i | \(0.553901\pi\) | |||||||
\(734\) | 6.56224e29 | + | 1.13661e30i | 0.533634 | + | 0.924281i | ||||
\(735\) | 1.52045e30 | + | 3.53725e29i | 1.21886 | + | 0.283563i | ||||
\(736\) | −1.02727e30 | + | 1.77928e30i | −0.811833 | + | 1.40614i | ||||
\(737\) | 6.57597e28 | 0.0512332 | ||||||||
\(738\) | 2.09046e30 | − | 1.39980e30i | 1.60565 | − | 1.07516i | ||||
\(739\) | 9.76021e29 | 0.739082 | 0.369541 | − | 0.929214i | \(-0.379515\pi\) | ||||
0.369541 | + | 0.929214i | \(0.379515\pi\) | |||||||
\(740\) | −3.40542e28 | + | 5.89837e28i | −0.0254237 | + | 0.0440351i | ||||
\(741\) | −3.06661e28 | + | 3.27743e28i | −0.0225718 | + | 0.0241236i | ||||
\(742\) | −1.12655e30 | − | 1.95125e30i | −0.817544 | − | 1.41603i | ||||
\(743\) | 6.54595e29 | + | 1.13379e30i | 0.468371 | + | 0.811242i | 0.999347 | − | 0.0361449i | \(-0.0115078\pi\) |
−0.530976 | + | 0.847387i | \(0.678174\pi\) | |||||||
\(744\) | 2.82783e29 | − | 3.02223e29i | 0.199497 | − | 0.213212i | ||||
\(745\) | 3.53925e29 | − | 6.13016e29i | 0.246190 | − | 0.426413i | ||||
\(746\) | 1.55934e30 | 1.06951 | ||||||||
\(747\) | 1.42949e29 | + | 2.14841e30i | 0.0966753 | + | 1.45295i | ||||
\(748\) | 2.52068e28 | 0.0168093 | ||||||||
\(749\) | −4.55749e29 | + | 7.89381e29i | −0.299686 | + | 0.519072i | ||||
\(750\) | −1.64286e30 | − | 3.82205e29i | −1.06527 | − | 0.247830i | ||||
\(751\) | −5.10333e29 | − | 8.83923e29i | −0.326313 | − | 0.565191i | 0.655464 | − | 0.755226i | \(-0.272473\pi\) |
−0.981777 | + | 0.190036i | \(0.939140\pi\) | |||||||
\(752\) | −1.44938e29 | − | 2.51040e29i | −0.0913890 | − | 0.158290i | ||||
\(753\) | −3.71327e29 | − | 1.22192e30i | −0.230892 | − | 0.759795i | ||||
\(754\) | −3.19137e28 | + | 5.52762e28i | −0.0195694 | + | 0.0338952i | ||||
\(755\) | −3.46841e29 | −0.209743 | ||||||||
\(756\) | 1.88904e30 | + | 1.54561e30i | 1.12658 | + | 0.921767i | ||||
\(757\) | −1.30425e30 | −0.767106 | −0.383553 | − | 0.923519i | \(-0.625300\pi\) | ||||
−0.383553 | + | 0.923519i | \(0.625300\pi\) | |||||||
\(758\) | 1.03867e30 | − | 1.79903e30i | 0.602492 | − | 1.04355i | ||||
\(759\) | −1.37779e29 | − | 4.53391e29i | −0.0788217 | − | 0.259378i | ||||
\(760\) | −1.86226e29 | − | 3.22552e29i | −0.105074 | − | 0.181994i | ||||
\(761\) | 7.21776e29 | + | 1.25015e30i | 0.401664 | + | 0.695703i | 0.993927 | − | 0.110042i | \(-0.0350985\pi\) |
−0.592263 | + | 0.805745i | \(0.701765\pi\) | |||||||
\(762\) | −1.07230e30 | − | 2.49465e29i | −0.588556 | − | 0.136925i | ||||
\(763\) | 3.21492e30 | − | 5.56840e30i | 1.74045 | − | 3.01455i | ||||
\(764\) | −1.34514e30 | −0.718268 | ||||||||
\(765\) | −8.41336e28 | − | 4.13866e28i | −0.0443123 | − | 0.0217979i | ||||
\(766\) | −1.41652e29 | −0.0735904 | ||||||||
\(767\) | 2.42045e27 | − | 4.19234e27i | 0.00124035 | − | 0.00214835i | ||||
\(768\) | −1.75506e30 | + | 1.87572e30i | −0.887155 | + | 0.948145i | ||||
\(769\) | 2.34809e29 | + | 4.06701e29i | 0.117081 | + | 0.202791i | 0.918610 | − | 0.395166i | \(-0.129313\pi\) |
−0.801529 | + | 0.597957i | \(0.795980\pi\) | |||||||
\(770\) | 2.49340e29 | + | 4.31869e29i | 0.122642 | + | 0.212422i | ||||
\(771\) | −2.42382e30 | + | 2.59046e30i | −1.17606 | + | 1.25691i | ||||
\(772\) | −7.77110e29 | + | 1.34599e30i | −0.371964 | + | 0.644260i | ||||
\(773\) | 1.85640e30 | 0.876572 | 0.438286 | − | 0.898835i | \(-0.355586\pi\) | ||||
0.438286 | + | 0.898835i | \(0.355586\pi\) | |||||||
\(774\) | −3.05948e30 | − | 1.50501e30i | −1.42517 | − | 0.701065i | ||||
\(775\) | −1.54482e30 | −0.709920 | ||||||||
\(776\) | 5.81870e28 | − | 1.00783e29i | 0.0263802 | − | 0.0456918i | ||||
\(777\) | 6.10618e29 | + | 1.42058e29i | 0.273117 | + | 0.0635396i | ||||
\(778\) | 5.59486e29 | + | 9.69058e29i | 0.246890 | + | 0.427626i | ||||
\(779\) | −2.35481e30 | − | 4.07865e30i | −1.02521 | − | 1.77571i | ||||
\(780\) | 5.55408e27 | + | 1.82768e28i | 0.00238571 | + | 0.00785066i | ||||
\(781\) | −2.84922e29 | + | 4.93499e29i | −0.120751 | + | 0.209147i | ||||
\(782\) | 4.41364e29 | 0.184555 | ||||||||
\(783\) | 2.85001e30 | − | 1.07750e30i | 1.17584 | − | 0.444549i | ||||
\(784\) | −7.88178e30 | −3.20853 | ||||||||
\(785\) | −4.54549e29 | + | 7.87302e29i | −0.182578 | + | 0.316235i | ||||
\(786\) | −1.78995e29 | − | 5.89018e29i | −0.0709421 | − | 0.233449i | ||||
\(787\) | 1.57864e30 | + | 2.73429e30i | 0.617374 | + | 1.06932i | 0.989963 | + | 0.141327i | \(0.0451370\pi\) |
−0.372589 | + | 0.927997i | \(0.621530\pi\) | |||||||
\(788\) | −7.52042e29 | − | 1.30258e30i | −0.290213 | − | 0.502664i | ||||
\(789\) | −4.27707e30 | − | 9.95041e29i | −1.62869 | − | 0.378907i | ||||
\(790\) | −1.38048e30 | + | 2.39106e30i | −0.518735 | + | 0.898476i | ||||
\(791\) | 5.15262e30 | 1.91062 | ||||||||
\(792\) | −1.22118e28 | − | 1.83534e29i | −0.00446854 | − | 0.0671586i | ||||
\(793\) | 4.25931e28 | 0.0153805 | ||||||||
\(794\) | −2.53918e30 | + | 4.39798e30i | −0.904852 | + | 1.56725i | ||||
\(795\) | −5.75112e29 | + | 6.14650e29i | −0.202254 | + | 0.216159i | ||||
\(796\) | 3.82432e29 | + | 6.62392e29i | 0.132729 | + | 0.229894i | ||||
\(797\) | 2.08756e30 | + | 3.61576e30i | 0.715034 | + | 1.23848i | 0.962946 | + | 0.269693i | \(0.0869222\pi\) |
−0.247912 | + | 0.968782i | \(0.579745\pi\) | |||||||
\(798\) | 7.25183e30 | − | 7.75038e30i | 2.45142 | − | 2.61995i | ||||
\(799\) | −2.47187e28 | + | 4.28140e28i | −0.00824678 | + | 0.0142838i | ||||
\(800\) | 2.97666e30 | 0.980130 | ||||||||
\(801\) | −2.77938e30 | + | 1.86110e30i | −0.903247 | + | 0.604824i | ||||
\(802\) | 1.34806e29 | 0.0432391 | ||||||||
\(803\) | 2.98419e29 | − | 5.16877e29i | 0.0944742 | − | 0.163634i | ||||
\(804\) | −5.80178e29 | − | 1.34976e29i | −0.181290 | − | 0.0421763i | ||||
\(805\) | 1.87941e30 | + | 3.25523e30i | 0.579648 | + | 1.00398i | ||||
\(806\) | 4.61548e28 | + | 7.99425e28i | 0.0140507 | + | 0.0243366i | ||||
\(807\) | −9.72670e29 | − | 3.20076e30i | −0.292276 | − | 0.961792i | ||||
\(808\) | 5.54407e29 | − | 9.60262e29i | 0.164441 | − | 0.284820i | ||||
\(809\) | −1.58248e30 | −0.463318 | −0.231659 | − | 0.972797i | \(-0.574415\pi\) | ||||
−0.231659 | + | 0.972797i | \(0.574415\pi\) | |||||||
\(810\) | 8.06751e29 | − | 1.95862e30i | 0.233156 | − | 0.566054i | ||||
\(811\) | 6.17280e30 | 1.76102 | 0.880508 | − | 0.474031i | \(-0.157202\pi\) | ||||
0.880508 | + | 0.474031i | \(0.157202\pi\) | |||||||
\(812\) | 3.24875e30 | − | 5.62701e30i | 0.914910 | − | 1.58467i | ||||
\(813\) | 8.53788e29 | + | 2.80956e30i | 0.237356 | + | 0.781065i | ||||
\(814\) | 7.31355e28 | + | 1.26674e29i | 0.0200711 | + | 0.0347642i | ||||
\(815\) | −1.47025e29 | − | 2.54655e29i | −0.0398324 | − | 0.0689917i | ||||
\(816\) | 4.61093e29 | + | 1.07271e29i | 0.123322 | + | 0.0286904i | ||||
\(817\) | −3.19137e30 | + | 5.52762e30i | −0.842647 | + | 1.45951i | ||||
\(818\) | −2.98274e30 | −0.777509 | ||||||||
\(819\) | 1.46101e29 | − | 9.78308e28i | 0.0375987 | − | 0.0251765i | ||||
\(820\) | −2.00436e30 | −0.509248 | ||||||||
\(821\) | −9.33172e29 | + | 1.61630e30i | −0.234077 | + | 0.405433i | −0.959004 | − | 0.283392i | \(-0.908540\pi\) |
0.724927 | + | 0.688826i | \(0.241873\pi\) | |||||||
\(822\) | 4.90830e30 | − | 5.24574e30i | 1.21556 | − | 1.29913i | ||||
\(823\) | 4.77748e29 | + | 8.27484e29i | 0.116816 | + | 0.202331i | 0.918504 | − | 0.395412i | \(-0.129398\pi\) |
−0.801688 | + | 0.597742i | \(0.796065\pi\) | |||||||
\(824\) | 4.14538e29 | + | 7.18001e29i | 0.100076 | + | 0.173336i | ||||
\(825\) | −4.69067e29 | + | 5.01315e29i | −0.111807 | + | 0.119493i | ||||
\(826\) | −5.72380e29 | + | 9.91392e29i | −0.134708 | + | 0.233321i | ||||
\(827\) | −6.36744e30 | −1.47964 | −0.739821 | − | 0.672803i | \(-0.765090\pi\) | ||||
−0.739821 | + | 0.672803i | \(0.765090\pi\) | |||||||
\(828\) | 2.84974e29 | + | 4.28293e30i | 0.0653864 | + | 0.982704i | ||||
\(829\) | 1.73773e30 | 0.393694 | 0.196847 | − | 0.980434i | \(-0.436930\pi\) | ||||
0.196847 | + | 0.980434i | \(0.436930\pi\) | |||||||
\(830\) | 1.99245e30 | − | 3.45103e30i | 0.445726 | − | 0.772020i | ||||
\(831\) | −3.58632e28 | − | 8.34341e27i | −0.00792205 | − | 0.00184303i | ||||
\(832\) | −2.51345e28 | − | 4.35342e28i | −0.00548246 | − | 0.00949590i | ||||
\(833\) | 6.72107e29 | + | 1.16412e30i | 0.144766 | + | 0.250742i | ||||
\(834\) | 3.87392e29 | + | 1.27479e30i | 0.0823962 | + | 0.271141i | ||||
\(835\) | 1.99751e30 | − | 3.45978e30i | 0.419547 | − | 0.726676i | ||||
\(836\) | 1.06604e30 | 0.221109 | ||||||||
\(837\) | 7.11352e29 | − | 4.34874e30i | 0.145703 | − | 0.890731i | ||||
\(838\) | 6.24969e30 | 1.26414 | ||||||||
\(839\) | 3.45352e29 | − | 5.98167e29i | 0.0689861 | − | 0.119487i | −0.829469 | − | 0.558553i | \(-0.811357\pi\) |
0.898455 | + | 0.439065i | \(0.144690\pi\) | |||||||
\(840\) | 4.24234e29 | + | 1.39603e30i | 0.0836899 | + | 0.275398i | ||||
\(841\) | −1.48910e30 | − | 2.57920e30i | −0.290113 | − | 0.502490i | ||||
\(842\) | 4.24514e30 | + | 7.35279e30i | 0.816798 | + | 1.41474i | ||||
\(843\) | −7.28766e30 | − | 1.69544e30i | −1.38484 | − | 0.322176i | ||||
\(844\) | 6.15549e29 | − | 1.06616e30i | 0.115523 | − | 0.200091i | ||||
\(845\) | −2.49114e30 | −0.461746 | ||||||||
\(846\) | −1.00219e30 | − | 4.92995e29i | −0.183469 | − | 0.0902513i | ||||
\(847\) | −1.01898e31 | −1.84243 | ||||||||
\(848\) | 2.12502e30 | − | 3.68064e30i | 0.379495 | − | 0.657304i | ||||
\(849\) | 4.15108e30 | − | 4.43646e30i | 0.732202 | − | 0.782539i | ||||
\(850\) | −3.19728e29 | − | 5.53786e29i | −0.0557035 | − | 0.0964813i | ||||
\(851\) | 5.51262e29 | + | 9.54814e29i | 0.0948632 | + | 0.164308i | ||||
\(852\) | 3.52672e30 | − | 3.76918e30i | 0.599453 | − | 0.640665i | ||||
\(853\) | 1.95677e30 | − | 3.38923e30i | 0.328531 | − | 0.569032i | −0.653690 | − | 0.756763i | \(-0.726780\pi\) |
0.982221 | + | 0.187731i | \(0.0601132\pi\) | |||||||
\(854\) | −1.00723e31 | −1.67040 | ||||||||
\(855\) | −3.55816e30 | − | 1.75031e30i | −0.582882 | − | 0.286729i | ||||
\(856\) | −6.22230e29 | −0.100688 | ||||||||
\(857\) | 4.88827e30 | − | 8.46673e30i | 0.781369 | − | 1.35337i | −0.149775 | − | 0.988720i | \(-0.547855\pi\) |
0.931144 | − | 0.364651i | \(-0.118812\pi\) | |||||||
\(858\) | 3.99569e28 | + | 9.29579e27i | 0.00630921 | + | 0.00146781i | ||||
\(859\) | −1.43621e30 | − | 2.48759e30i | −0.224022 | − | 0.388017i | 0.732004 | − | 0.681300i | \(-0.238585\pi\) |
−0.956025 | + | 0.293284i | \(0.905252\pi\) | |||||||
\(860\) | 1.35821e30 | + | 2.35249e30i | 0.209283 | + | 0.362488i | ||||
\(861\) | 5.36440e30 | + | 1.76526e31i | 0.816560 | + | 2.68705i | ||||
\(862\) | −4.88307e30 | + | 8.45772e30i | −0.734288 | + | 1.27182i | ||||
\(863\) | 1.04420e30 | 0.155122 | 0.0775608 | − | 0.996988i | \(-0.475287\pi\) | ||||
0.0775608 | + | 0.996988i | \(0.475287\pi\) | |||||||
\(864\) | −1.37068e30 | + | 8.37944e30i | −0.201160 | + | 1.22976i | ||||
\(865\) | 1.76313e30 | 0.255633 | ||||||||
\(866\) | −7.23635e30 | + | 1.25337e31i | −1.03653 | + | 1.79532i | ||||
\(867\) | 2.03115e30 | + | 6.68389e30i | 0.287436 | + | 0.945865i | ||||
\(868\) | −4.69847e30 | − | 8.13799e30i | −0.656900 | − | 1.13778i | ||||
\(869\) | 1.27626e30 | + | 2.21054e30i | 0.176291 | + | 0.305345i | ||||
\(870\) | −5.49229e30 | − | 1.27776e30i | −0.749551 | − | 0.174380i | ||||
\(871\) | −2.14558e28 | + | 3.71625e28i | −0.00289303 | + | 0.00501088i | ||||
\(872\) | 4.38930e30 | 0.584752 | ||||||||
\(873\) | −8.22572e28 | − | 1.23626e30i | −0.0108274 | − | 0.162727i | ||||
\(874\) | 1.86660e31 | 2.42763 | ||||||||
\(875\) | 6.18477e30 | − | 1.07123e31i | 0.794765 | − | 1.37657i | ||||
\(876\) | −3.69379e30 | + | 3.94773e30i | −0.469006 | + | 0.501250i | ||||
\(877\) | −2.94465e30 | − | 5.10028e30i | −0.369435 | − | 0.639880i | 0.620042 | − | 0.784568i | \(-0.287115\pi\) |
−0.989477 | + | 0.144688i | \(0.953782\pi\) | |||||||
\(878\) | −4.85067e30 | − | 8.40161e30i | −0.601325 | − | 1.04153i | ||||
\(879\) | 4.85498e30 | − | 5.18876e30i | 0.594709 | − | 0.635594i | ||||
\(880\) | −4.70329e29 | + | 8.14634e29i | −0.0569290 | + | 0.0986039i | ||||
\(881\) | −1.18650e31 | −1.41913 | −0.709563 | − | 0.704642i | \(-0.751108\pi\) | ||||
−0.709563 | + | 0.704642i | \(0.751108\pi\) | |||||||
\(882\) | −2.52337e31 | + | 1.68967e31i | −2.98236 | + | 1.99702i | ||||
\(883\) | −3.58382e30 | −0.418561 | −0.209280 | − | 0.977856i | \(-0.567112\pi\) | ||||
−0.209280 | + | 0.977856i | \(0.567112\pi\) | |||||||
\(884\) | −8.22435e27 | + | 1.42450e28i | −0.000949189 | + | 0.00164404i | ||||
\(885\) | 4.16554e29 | + | 9.69096e28i | 0.0475081 | + | 0.0110525i | ||||
\(886\) | −2.20934e30 | − | 3.82669e30i | −0.249005 | − | 0.431289i | ||||
\(887\) | 5.68741e30 | + | 9.85088e30i | 0.633456 | + | 1.09718i | 0.986840 | + | 0.161700i | \(0.0516975\pi\) |
−0.353384 | + | 0.935478i | \(0.614969\pi\) | |||||||
\(888\) | 1.24435e29 | + | 4.09477e29i | 0.0136964 | + | 0.0450707i | ||||
\(889\) | 4.03680e30 | − | 6.99194e30i | 0.439105 | − | 0.760553i | ||||
\(890\) | 6.19056e30 | 0.665480 | ||||||||
\(891\) | −1.19523e30 | − | 1.55129e30i | −0.126980 | − | 0.164808i | ||||
\(892\) | 5.28866e30 | 0.555284 | ||||||||
\(893\) | −1.04540e30 | + | 1.81068e30i | −0.108478 | + | 0.187889i | ||||
\(894\) | 4.00385e30 | + | 1.31754e31i | 0.410614 | + | 1.35121i | ||||
\(895\) | −4.11211e30 | − | 7.12239e30i | −0.416796 | − | 0.721911i | ||||
\(896\) | −6.03382e30 | − | 1.04509e31i | −0.604447 | − | 1.04693i | ||||
\(897\) | 3.01176e29 | + | 7.00674e28i | 0.0298195 | + | 0.00693738i | ||||
\(898\) | 6.59892e30 | − | 1.14297e31i | 0.645760 | − | 1.11849i | ||||
\(899\) | −1.17305e31 | −1.13459 | ||||||||
\(900\) | 5.16742e30 | − | 3.46016e30i | 0.494001 | − | 0.330788i | ||||
\(901\) | −7.24830e29 | −0.0684898 | ||||||||
\(902\) | −2.15230e30 | + | 3.72789e30i | −0.201017 | + | 0.348172i | ||||
\(903\) | 1.70836e31 | − | 1.82580e31i | 1.57709 | − | 1.68552i | ||||
\(904\) | 1.75870e30 | + | 3.04616e30i | 0.160481 | + | 0.277962i | ||||
\(905\) | −1.97007e30 | − | 3.41227e30i | −0.177694 | − | 0.307775i | ||||
\(906\) | 4.61002e30 | − | 4.92695e30i | 0.411014 | − | 0.439271i | ||||
\(907\) | −3.21365e30 | + | 5.56621e30i | −0.283219 | + | 0.490549i | −0.972176 | − | 0.234253i | \(-0.924736\pi\) |
0.688957 | + | 0.724802i | \(0.258069\pi\) | |||||||
\(908\) | 2.05161e30 | 0.178728 | ||||||||
\(909\) | −7.83749e29 | − | 1.17791e31i | −0.0674926 | − | 1.01436i | ||||
\(910\) | −3.25414e29 | −0.0277014 | ||||||||
\(911\) | −1.01042e30 | + | 1.75011e30i | −0.0850278 | + | 0.147272i | −0.905403 | − | 0.424553i | \(-0.860431\pi\) |
0.820375 | + | 0.571826i | \(0.193765\pi\) | |||||||
\(912\) | 1.95004e31 | + | 4.53669e30i | 1.62218 | + | 0.377393i | ||||
\(913\) | −1.84202e30 | − | 3.19048e30i | −0.151479 | − | 0.262369i | ||||
\(914\) | 3.48721e30 | + | 6.04002e30i | 0.283493 | + | 0.491024i | ||||
\(915\) | 1.09411e30 | + | 3.60040e30i | 0.0879308 | + | 0.289354i | ||||
\(916\) | −3.71360e30 | + | 6.43214e30i | −0.295048 | + | 0.511038i | ||||
\(917\) | 4.51456e30 | 0.354599 | ||||||||
\(918\) | 1.70616e30 | − | 6.45047e29i | 0.132487 | − | 0.0500891i | ||||
\(919\) | −1.04014e30 | −0.0798510 | −0.0399255 | − | 0.999203i | \(-0.512712\pi\) | ||||
−0.0399255 | + | 0.999203i | \(0.512712\pi\) | |||||||
\(920\) | −1.28297e30 | + | 2.22217e30i | −0.0973742 | + | 0.168657i | ||||
\(921\) | −1.29233e30 | − | 4.25265e30i | −0.0969719 | − | 0.319105i | ||||
\(922\) | −2.00349e30 | − | 3.47015e30i | −0.148632 | − | 0.257439i | ||||
\(923\) | −1.85926e29 | − | 3.22033e29i | −0.0136371 | − | 0.0236202i | ||||
\(924\) | −4.06753e30 | − | 9.46294e29i | −0.294968 | − | 0.0686231i | ||||
\(925\) | 7.98680e29 | − | 1.38335e30i | 0.0572644 | − | 0.0991848i | ||||
\(926\) | −2.36608e30 | −0.167731 | ||||||||
\(927\) | 7.92045e30 | + | 3.89619e30i | 0.555153 | + | 0.273089i | ||||
\(928\) | 2.26031e31 | 1.56644 | ||||||||
\(929\) | −6.04678e30 | + | 1.04733e31i | −0.414342 | + | 0.717662i | −0.995359 | − | 0.0962297i | \(-0.969322\pi\) |
0.581017 | + | 0.813891i | \(0.302655\pi\) | |||||||
\(930\) | −5.57194e30 | + | 5.95500e30i | −0.377516 | + | 0.403470i | ||||
\(931\) | 2.84246e31 | + | 4.92328e31i | 1.90424 | + | 3.29824i | ||||
\(932\) | 7.44411e30 | + | 1.28936e31i | 0.493112 | + | 0.854095i | ||||
\(933\) | −2.57916e30 | + | 2.75648e30i | −0.168936 | + | 0.180550i | ||||
\(934\) | 3.57070e30 | − | 6.18463e30i | 0.231266 | − | 0.400564i | ||||
\(935\) | 1.60426e29 | 0.0102743 | ||||||||
\(936\) | 1.07704e29 | + | 5.29813e28i | 0.00682080 | + | 0.00335526i | ||||
\(937\) | −2.84764e31 | −1.78328 | −0.891638 | − | 0.452748i | \(-0.850444\pi\) | ||||
−0.891638 | + | 0.452748i | \(0.850444\pi\) | |||||||
\(938\) | 5.07380e30 | − | 8.78807e30i | 0.314198 | − | 0.544207i | ||||
\(939\) | 1.64435e30 | + | 3.82551e29i | 0.100694 | + | 0.0234261i | ||||
\(940\) | 4.44908e29 | + | 7.70604e29i | 0.0269419 | + | 0.0466647i | ||||
\(941\) | −1.19206e31 | − | 2.06470e31i | −0.713848 | − | 1.23642i | −0.963402 | − | 0.268060i | \(-0.913617\pi\) |
0.249554 | − | 0.968361i | \(-0.419716\pi\) | |||||||
\(942\) | −5.14218e30 | − | 1.69214e31i | −0.304518 | − | 1.00208i | ||||
\(943\) | −1.62230e31 | + | 2.80991e31i | −0.950078 | + | 1.64558i | ||||
\(944\) | −2.15936e30 | −0.125060 | ||||||||
\(945\) | 1.20226e31 | + | 9.83690e30i | 0.688598 | + | 0.563410i | ||||
\(946\) | 5.83383e30 | 0.330443 | ||||||||
\(947\) | 1.51873e31 | − | 2.63052e31i | 0.850760 | − | 1.47356i | −0.0297636 | − | 0.999557i | \(-0.509475\pi\) |
0.880524 | − | 0.474002i | \(-0.157191\pi\) | |||||||
\(948\) | −6.72276e30 | − | 2.21226e31i | −0.372443 | − | 1.22560i | ||||
\(949\) | 1.94733e29 | + | 3.37288e29i | 0.0106695 | + | 0.0184802i | ||||
\(950\) | −1.35219e31 | − | 2.34206e31i | −0.732722 | − | 1.26911i | ||||
\(951\) | −1.86522e31 | − | 4.33936e30i | −0.999621 | − | 0.232558i | ||||
\(952\) | −6.28196e29 | + | 1.08807e30i | −0.0332971 | + | 0.0576723i | ||||
\(953\) | −3.43245e30 | −0.179941 | −0.0899703 | − | 0.995944i | \(-0.528677\pi\) | ||||
−0.0899703 | + | 0.995944i | \(0.528677\pi\) | |||||||
\(954\) | −1.08716e30 | − | 1.63392e31i | −0.0563686 | − | 0.847174i | ||||
\(955\) | −8.56102e30 | −0.439026 | ||||||||
\(956\) | −4.60212e30 | + | 7.97111e30i | −0.233426 | + | 0.404307i | ||||
\(957\) | −3.56184e30 | + | 3.80671e30i | −0.178690 | + | 0.190974i | ||||
\(958\) | −3.85307e30 | − | 6.67371e30i | −0.191192 | − | 0.331154i | ||||
\(959\) | 2.63414e31 | + | 4.56247e31i | 1.29284 | + | 2.23926i | ||||
\(960\) | 3.03431e30 | − | 3.24291e30i | 0.147303 | − | 0.157430i | ||||
\(961\) | 1.93021e30 | − | 3.34322e30i | 0.0926848 | − | 0.160535i | ||||
\(962\) | −9.54492e28 | −0.00453351 | ||||||||
\(963\) | −5.50456e30 | + | 3.68591e30i | −0.258611 | + | 0.173169i | ||||
\(964\) | −1.66746e31 | −0.774903 | ||||||||
\(965\) | −4.94585e30 | + | 8.56646e30i | −0.227355 | + | 0.393790i | ||||
\(966\) | −7.12213e31 | − | 1.65693e31i | −3.23855 | − | 0.753434i | ||||
\(967\) | −9.70920e30 | − | 1.68168e31i | −0.436722 | − | 0.756425i | 0.560712 | − | 0.828011i | \(-0.310527\pi\) |
−0.997434 | + | 0.0715854i | \(0.977194\pi\) | |||||||
\(968\) | −3.47802e30 | − | 6.02411e30i | −0.154754 | − | 0.268041i | ||||
\(969\) | −9.92809e29 | − | 3.26703e30i | −0.0436984 | − | 0.143798i | ||||
\(970\) | −1.14652e30 | + | 1.98582e30i | −0.0499202 | + | 0.0864644i | ||||
\(971\) | 1.81095e31 | 0.780016 | 0.390008 | − | 0.920811i | \(-0.372472\pi\) | ||||
0.390008 | + | 0.920811i | \(0.372472\pi\) | |||||||
\(972\) | 7.36106e30 | + | 1.61399e31i | 0.313650 | + | 0.687709i | ||||
\(973\) | −9.77068e30 | −0.411851 | ||||||||
\(974\) | 4.57349e30 | − | 7.92151e30i | 0.190712 | − | 0.330323i | ||||
\(975\) | −1.30261e29 | − | 4.28648e29i | −0.00537360 | − | 0.0176829i | ||||
\(976\) | −9.49967e30 | − | 1.64539e31i | −0.387691 | − | 0.671500i | ||||
\(977\) | 1.06295e31 | + | 1.84109e31i | 0.429161 | + | 0.743329i | 0.996799 | − | 0.0799493i | \(-0.0254758\pi\) |
−0.567638 | + | 0.823279i | \(0.692143\pi\) | |||||||
\(978\) | 5.57160e30 | + | 1.29621e30i | 0.222547 | + | 0.0517746i | ||||
\(979\) | 2.86159e30 | − | 4.95642e30i | 0.113081 | − | 0.195862i | ||||
\(980\) | 2.41943e31 | 0.945888 | ||||||||
\(981\) | 3.88299e31 | − | 2.60009e31i | 1.50190 | − | 1.00569i | ||||
\(982\) | −3.26330e31 | −1.24878 | ||||||||
\(983\) | −1.87350e31 | + | 3.24499e31i | −0.709318 | + | 1.22858i | 0.255792 | + | 0.966732i | \(0.417664\pi\) |
−0.965110 | + | 0.261844i | \(0.915670\pi\) | |||||||
\(984\) | −8.60502e30 | + | 9.19660e30i | −0.322332 | + | 0.344492i | ||||
\(985\) | −4.78631e30 | − | 8.29013e30i | −0.177386 | − | 0.307242i | ||||
\(986\) | −2.42784e30 | − | 4.20515e30i | −0.0890252 | − | 0.154196i | ||||
\(987\) | 5.59606e30 | − | 5.98078e30i | 0.203026 | − | 0.216984i | ||||
\(988\) | −3.47822e29 | + | 6.02445e29i | −0.0124856 | + | 0.0216257i | ||||
\(989\) | 4.39728e31 | 1.56179 | ||||||||
\(990\) | 2.40621e29 | + | 3.61634e30i | 0.00845600 | + | 0.127087i | ||||
\(991\) | −3.66143e31 | −1.27314 | −0.636572 | − | 0.771217i | \(-0.719648\pi\) | ||||
−0.636572 | + | 0.771217i | \(0.719648\pi\) | |||||||
\(992\) | 1.63447e31 | − | 2.83099e31i | 0.562348 | − | 0.974015i | ||||
\(993\) | 1.10387e31 | + | 2.56811e30i | 0.375795 | + | 0.0874271i | ||||
\(994\) | 4.39672e31 | + | 7.61535e31i | 1.48106 | + | 2.56527i | ||||
\(995\) | 2.43396e30 | + | 4.21574e30i | 0.0811279 | + | 0.140518i | ||||
\(996\) | 9.70297e30 | + | 3.19295e31i | 0.320023 | + | 1.05310i | ||||
\(997\) | 2.12985e31 | − | 3.68901e31i | 0.695105 | − | 1.20396i | −0.275041 | − | 0.961433i | \(-0.588691\pi\) |
0.970145 | − | 0.242524i | \(-0.0779753\pi\) | |||||||
\(998\) | 3.12943e31 | 1.01063 | ||||||||
\(999\) | 3.52644e30 | + | 2.88533e30i | 0.112694 | + | 0.0922056i |
(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 | 9.22.c.a.7.4 | yes | 40 | |
3.2 | odd | 2 | 27.22.c.a.19.17 | 40 | |||
9.2 | odd | 6 | 81.22.a.d.1.4 | 20 | |||
9.4 | even | 3 | inner | 9.22.c.a.4.4 | ✓ | 40 | |
9.5 | odd | 6 | 27.22.c.a.10.17 | 40 | |||
9.7 | even | 3 | 81.22.a.c.1.17 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
9.22.c.a.4.4 | ✓ | 40 | 9.4 | even | 3 | inner | |
9.22.c.a.7.4 | yes | 40 | 1.1 | even | 1 | trivial | |
27.22.c.a.10.17 | 40 | 9.5 | odd | 6 | |||
27.22.c.a.19.17 | 40 | 3.2 | odd | 2 | |||
81.22.a.c.1.17 | 20 | 9.7 | even | 3 | |||
81.22.a.d.1.4 | 20 | 9.2 | odd | 6 |