Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,14,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 14, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 14);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), degree \(4\), 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: | \(23.5908043694\) |
Analytic rank: | \(0\) |
Dimension: | \(28\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{5})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Character | \(\chi\) | \(=\) | 22.5 |
Dual form | 22.14.c.b.9.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 19.7771 | + | 60.8676i | 0.218508 | + | 0.672499i | ||||
\(3\) | −1229.94 | − | 893.604i | −0.974083 | − | 0.707712i | −0.0177042 | − | 0.999843i | \(-0.505636\pi\) |
−0.956378 | + | 0.292131i | \(0.905636\pi\) | |||||||
\(4\) | −3313.73 | + | 2407.57i | −0.404508 | + | 0.293893i | ||||
\(5\) | −7708.37 | + | 23723.9i | −0.220627 | + | 0.679019i | 0.778080 | + | 0.628166i | \(0.216194\pi\) |
−0.998706 | + | 0.0508530i | \(0.983806\pi\) | |||||||
\(6\) | 30066.9 | − | 92536.4i | 0.263091 | − | 0.809710i | ||||
\(7\) | −267598. | + | 194422.i | −0.859699 | + | 0.624608i | −0.927803 | − | 0.373070i | \(-0.878305\pi\) |
0.0681042 | + | 0.997678i | \(0.478305\pi\) | |||||||
\(8\) | −212079. | − | 154084.i | −0.286031 | − | 0.207813i | ||||
\(9\) | 221552. | + | 681866.i | 0.138963 | + | 0.427684i | ||||
\(10\) | −1.59647e6 | −0.504848 | ||||||||
\(11\) | −5.21632e6 | + | 2.70420e6i | −0.887793 | + | 0.460242i | ||||
\(12\) | 6.22711e6 | 0.602016 | ||||||||
\(13\) | 4.79624e6 | + | 1.47613e7i | 0.275594 | + | 0.848190i | 0.989062 | + | 0.147502i | \(0.0471233\pi\) |
−0.713468 | + | 0.700688i | \(0.752877\pi\) | |||||||
\(14\) | −1.71263e7 | − | 1.24430e7i | −0.607899 | − | 0.441664i | ||||
\(15\) | 3.06806e7 | − | 2.22908e7i | 0.695458 | − | 0.505280i | ||||
\(16\) | 5.18444e6 | − | 1.59561e7i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 5.28249e7 | − | 1.62578e8i | 0.530788 | − | 1.63360i | −0.221790 | − | 0.975094i | \(-0.571190\pi\) |
0.752578 | − | 0.658503i | \(-0.228810\pi\) | |||||||
\(18\) | −3.71219e7 | + | 2.69707e7i | −0.257252 | + | 0.186905i | ||||
\(19\) | −1.95731e8 | − | 1.42207e8i | −0.954468 | − | 0.693462i | −0.00260886 | − | 0.999997i | \(-0.500830\pi\) |
−0.951859 | + | 0.306535i | \(0.900830\pi\) | |||||||
\(20\) | −3.15735e7 | − | 9.71732e7i | −0.110313 | − | 0.339509i | ||||
\(21\) | 5.02866e8 | 1.27946 | ||||||||
\(22\) | −2.67762e8 | − | 2.64024e8i | −0.503502 | − | 0.496473i | ||||
\(23\) | 1.15203e9 | 1.62268 | 0.811342 | − | 0.584572i | \(-0.198738\pi\) | ||||
0.811342 | + | 0.584572i | \(0.198738\pi\) | |||||||
\(24\) | 1.23154e8 | + | 3.79029e8i | 0.131545 | + | 0.404855i | ||||
\(25\) | 4.84164e8 | + | 3.51765e8i | 0.396627 | + | 0.288166i | ||||
\(26\) | −8.03630e8 | + | 5.83871e8i | −0.510187 | + | 0.370672i | ||||
\(27\) | −4.12182e8 | + | 1.26857e9i | −0.204751 | + | 0.630157i | ||||
\(28\) | 4.18667e8 | − | 1.28852e9i | 0.164188 | − | 0.505318i | ||||
\(29\) | 1.85581e9 | − | 1.34832e9i | 0.579357 | − | 0.420928i | −0.259135 | − | 0.965841i | \(-0.583438\pi\) |
0.838492 | + | 0.544913i | \(0.183438\pi\) | |||||||
\(30\) | 1.96356e9 | + | 1.42661e9i | 0.491763 | + | 0.357287i | ||||
\(31\) | −6.47809e8 | − | 1.99375e9i | −0.131098 | − | 0.403478i | 0.863865 | − | 0.503724i | \(-0.168037\pi\) |
−0.994963 | + | 0.100246i | \(0.968037\pi\) | |||||||
\(32\) | 1.07374e9 | 0.176777 | ||||||||
\(33\) | 8.83225e9 | + | 1.33532e9i | 1.19050 | + | 0.179988i | ||||
\(34\) | 1.09405e10 | 1.21457 | ||||||||
\(35\) | −2.54970e9 | − | 7.84716e9i | −0.234448 | − | 0.721556i | ||||
\(36\) | −2.37580e9 | − | 1.72612e9i | −0.181905 | − | 0.132162i | ||||
\(37\) | 7.81308e9 | − | 5.67653e9i | 0.500623 | − | 0.363724i | −0.308632 | − | 0.951182i | \(-0.599871\pi\) |
0.809255 | + | 0.587458i | \(0.199871\pi\) | |||||||
\(38\) | 4.78481e9 | − | 1.47261e10i | 0.257793 | − | 0.793405i | ||||
\(39\) | 7.29167e9 | − | 2.24415e10i | 0.331823 | − | 1.02125i | ||||
\(40\) | 5.29027e9 | − | 3.84361e9i | 0.204215 | − | 0.148371i | ||||
\(41\) | −2.65937e10 | − | 1.93215e10i | −0.874348 | − | 0.635251i | 0.0574024 | − | 0.998351i | \(-0.481718\pi\) |
−0.931750 | + | 0.363100i | \(0.881718\pi\) | |||||||
\(42\) | 9.94522e9 | + | 3.06082e10i | 0.279572 | + | 0.860435i | ||||
\(43\) | −1.78290e10 | −0.430112 | −0.215056 | − | 0.976602i | \(-0.568993\pi\) | ||||
−0.215056 | + | 0.976602i | \(0.568993\pi\) | |||||||
\(44\) | 1.07749e10 | − | 2.15197e10i | 0.223858 | − | 0.447088i | ||||
\(45\) | −1.78844e10 | −0.321064 | ||||||||
\(46\) | 2.27838e10 | + | 7.01215e10i | 0.354569 | + | 1.09125i | ||||
\(47\) | 7.52930e10 | + | 5.47036e10i | 1.01887 | + | 0.740252i | 0.966051 | − | 0.258352i | \(-0.0831794\pi\) |
0.0528189 | + | 0.998604i | \(0.483179\pi\) | |||||||
\(48\) | −2.06350e10 | + | 1.49922e10i | −0.243521 | + | 0.176928i | ||||
\(49\) | 3.86880e9 | − | 1.19069e10i | 0.0399302 | − | 0.122892i | ||||
\(50\) | −1.18358e10 | + | 3.64268e10i | −0.107125 | + | 0.329698i | ||||
\(51\) | −2.10252e11 | + | 1.52757e11i | −1.67315 | + | 1.21561i | ||||
\(52\) | −5.14323e10 | − | 3.73678e10i | −0.360757 | − | 0.262105i | ||||
\(53\) | −7.04618e10 | − | 2.16859e11i | −0.436677 | − | 1.34395i | −0.891358 | − | 0.453300i | \(-0.850247\pi\) |
0.454681 | − | 0.890654i | \(-0.349753\pi\) | |||||||
\(54\) | −8.53664e10 | −0.468520 | ||||||||
\(55\) | −2.39450e10 | − | 1.44597e11i | −0.116642 | − | 0.704370i | ||||
\(56\) | 8.67093e10 | 0.375702 | ||||||||
\(57\) | 1.13661e11 | + | 3.49812e11i | 0.438959 | + | 1.35098i | ||||
\(58\) | 1.18772e11 | + | 8.62928e10i | 0.409667 | + | 0.297641i | ||||
\(59\) | −2.73551e11 | + | 1.98746e11i | −0.844306 | + | 0.613424i | −0.923570 | − | 0.383430i | \(-0.874743\pi\) |
0.0792644 | + | 0.996854i | \(0.474743\pi\) | |||||||
\(60\) | −4.80009e10 | + | 1.47731e11i | −0.132821 | + | 0.408780i | ||||
\(61\) | 9.09885e10 | − | 2.80034e11i | 0.226122 | − | 0.695932i | −0.772054 | − | 0.635557i | \(-0.780770\pi\) |
0.998176 | − | 0.0603747i | \(-0.0192296\pi\) | |||||||
\(62\) | 1.08543e11 | − | 7.88612e10i | 0.242692 | − | 0.176326i | ||||
\(63\) | −1.91857e11 | − | 1.39392e11i | −0.386601 | − | 0.280882i | ||||
\(64\) | 2.12355e10 | + | 6.53561e10i | 0.0386271 | + | 0.118882i | ||||
\(65\) | −3.87167e11 | −0.636740 | ||||||||
\(66\) | 9.33985e10 | + | 5.64006e11i | 0.139093 | + | 0.839940i | ||||
\(67\) | −2.87516e11 | −0.388308 | −0.194154 | − | 0.980971i | \(-0.562196\pi\) | ||||
−0.194154 | + | 0.980971i | \(0.562196\pi\) | |||||||
\(68\) | 2.16371e11 | + | 6.65921e11i | 0.265394 | + | 0.816799i | ||||
\(69\) | −1.41693e12 | − | 1.02946e12i | −1.58063 | − | 1.14839i | ||||
\(70\) | 4.27212e11 | − | 3.10388e11i | 0.434017 | − | 0.315332i | ||||
\(71\) | −4.25237e10 | + | 1.30875e11i | −0.0393960 | + | 0.121248i | −0.968820 | − | 0.247764i | \(-0.920304\pi\) |
0.929424 | + | 0.369013i | \(0.120304\pi\) | |||||||
\(72\) | 5.80785e10 | − | 1.78747e11i | 0.0491308 | − | 0.151209i | ||||
\(73\) | 5.33049e11 | − | 3.87282e11i | 0.412257 | − | 0.299522i | −0.362258 | − | 0.932078i | \(-0.617994\pi\) |
0.774515 | + | 0.632556i | \(0.217994\pi\) | |||||||
\(74\) | 5.00037e11 | + | 3.63298e11i | 0.353994 | + | 0.257192i | ||||
\(75\) | −2.81153e11 | − | 8.65301e11i | −0.182408 | − | 0.561395i | ||||
\(76\) | 9.90974e11 | 0.589894 | ||||||||
\(77\) | 8.70124e11 | − | 1.73781e12i | 0.475764 | − | 0.950192i | ||||
\(78\) | 1.51017e12 | 0.759294 | ||||||||
\(79\) | 4.76487e11 | + | 1.46648e12i | 0.220534 | + | 0.678733i | 0.998714 | + | 0.0506922i | \(0.0161427\pi\) |
−0.778181 | + | 0.628040i | \(0.783857\pi\) | |||||||
\(80\) | 3.38577e11 | + | 2.45991e11i | 0.144402 | + | 0.104914i | ||||
\(81\) | 2.56531e12 | − | 1.86381e12i | 1.00922 | − | 0.733244i | ||||
\(82\) | 6.50106e11 | − | 2.00082e12i | 0.236153 | − | 0.726805i | ||||
\(83\) | −2.56950e11 | + | 7.90810e11i | −0.0862662 | + | 0.265500i | −0.984879 | − | 0.173242i | \(-0.944576\pi\) |
0.898613 | + | 0.438742i | \(0.144576\pi\) | |||||||
\(84\) | −1.66636e12 | + | 1.21068e12i | −0.517553 | + | 0.376024i | ||||
\(85\) | 3.44981e12 | + | 2.50643e12i | 0.992137 | + | 0.720830i | ||||
\(86\) | −3.52606e11 | − | 1.08521e12i | −0.0939830 | − | 0.289250i | ||||
\(87\) | −3.48740e12 | −0.862237 | ||||||||
\(88\) | 1.52295e12 | + | 2.30249e11i | 0.349581 | + | 0.0528519i | ||||
\(89\) | 5.20758e12 | 1.11071 | 0.555355 | − | 0.831613i | \(-0.312582\pi\) | ||||
0.555355 | + | 0.831613i | \(0.312582\pi\) | |||||||
\(90\) | −3.53701e11 | − | 1.08858e12i | −0.0701551 | − | 0.215915i | ||||
\(91\) | −4.15338e12 | − | 3.01761e12i | −0.766713 | − | 0.557050i | ||||
\(92\) | −3.81753e12 | + | 2.77360e12i | −0.656389 | + | 0.476895i | ||||
\(93\) | −9.84857e11 | + | 3.03108e12i | −0.157846 | + | 0.485801i | ||||
\(94\) | −1.84060e12 | + | 5.66479e12i | −0.275187 | + | 0.846939i | ||||
\(95\) | 4.88248e12 | − | 3.54733e12i | 0.681455 | − | 0.495106i | ||||
\(96\) | −1.32064e12 | − | 9.59500e11i | −0.172195 | − | 0.125107i | ||||
\(97\) | 9.27788e11 | + | 2.85544e12i | 0.113092 | + | 0.348062i | 0.991544 | − | 0.129768i | \(-0.0414234\pi\) |
−0.878452 | + | 0.477830i | \(0.841423\pi\) | |||||||
\(98\) | 8.01260e11 | 0.0913701 | ||||||||
\(99\) | −2.99959e12 | − | 2.95771e12i | −0.320209 | − | 0.315738i | ||||
\(100\) | −2.45129e12 | −0.245129 | ||||||||
\(101\) | 4.35997e11 | + | 1.34186e12i | 0.0408690 | + | 0.125782i | 0.969409 | − | 0.245450i | \(-0.0789356\pi\) |
−0.928540 | + | 0.371232i | \(0.878936\pi\) | |||||||
\(102\) | −1.34561e13 | − | 9.77646e12i | −1.18309 | − | 0.859569i | ||||
\(103\) | −7.68769e12 | + | 5.58544e12i | −0.634387 | + | 0.460909i | −0.857917 | − | 0.513788i | \(-0.828242\pi\) |
0.223530 | + | 0.974697i | \(0.428242\pi\) | |||||||
\(104\) | 1.25731e12 | − | 3.86959e12i | 0.0974370 | − | 0.299880i | ||||
\(105\) | −3.87628e12 | + | 1.19300e13i | −0.282283 | + | 0.868777i | ||||
\(106\) | 1.18062e13 | − | 8.57768e12i | 0.808390 | − | 0.587329i | ||||
\(107\) | −2.17196e12 | − | 1.57802e12i | −0.139913 | − | 0.101653i | 0.515627 | − | 0.856813i | \(-0.327559\pi\) |
−0.655540 | + | 0.755160i | \(0.727559\pi\) | |||||||
\(108\) | −1.68830e12 | − | 5.19605e12i | −0.102375 | − | 0.315079i | ||||
\(109\) | 2.76454e13 | 1.57889 | 0.789443 | − | 0.613824i | \(-0.210370\pi\) | ||||
0.789443 | + | 0.613824i | \(0.210370\pi\) | |||||||
\(110\) | 8.32769e12 | − | 4.31717e12i | 0.448200 | − | 0.232352i | ||||
\(111\) | −1.46822e13 | −0.745060 | ||||||||
\(112\) | 1.71486e12 | + | 5.27779e12i | 0.0820939 | + | 0.252659i | ||||
\(113\) | −3.19898e13 | − | 2.32419e13i | −1.44544 | − | 1.05018i | −0.986870 | − | 0.161520i | \(-0.948360\pi\) |
−0.458574 | − | 0.888656i | \(-0.651640\pi\) | |||||||
\(114\) | −1.90444e13 | + | 1.38365e13i | −0.812615 | + | 0.590399i | ||||
\(115\) | −8.88030e12 | + | 2.73307e13i | −0.358007 | + | 1.10183i | ||||
\(116\) | −2.90347e12 | + | 8.93598e12i | −0.110647 | + | 0.340538i | ||||
\(117\) | −9.00262e12 | + | 6.54079e12i | −0.324460 | + | 0.235734i | ||||
\(118\) | −1.75072e13 | − | 1.27198e13i | −0.597014 | − | 0.433756i | ||||
\(119\) | 1.74729e13 | + | 5.37761e13i | 0.564040 | + | 1.73594i | ||||
\(120\) | −9.94138e12 | −0.303926 | ||||||||
\(121\) | 1.98973e13 | − | 2.82120e13i | 0.576354 | − | 0.817200i | ||||
\(122\) | 1.88445e13 | 0.517423 | ||||||||
\(123\) | 1.54429e13 | + | 4.75285e13i | 0.402112 | + | 1.23757i | ||||
\(124\) | 6.94676e12 | + | 5.04712e12i | 0.171609 | + | 0.124682i | ||||
\(125\) | −3.67121e13 | + | 2.66729e13i | −0.860784 | + | 0.625396i | ||||
\(126\) | 4.69009e12 | − | 1.44346e13i | 0.104417 | − | 0.321364i | ||||
\(127\) | 2.51891e13 | − | 7.75241e13i | 0.532707 | − | 1.63950i | −0.215844 | − | 0.976428i | \(-0.569250\pi\) |
0.748551 | − | 0.663077i | \(-0.230750\pi\) | |||||||
\(128\) | −3.55809e12 | + | 2.58511e12i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 2.19286e13 | + | 1.59321e13i | 0.418965 | + | 0.304396i | ||||
\(130\) | −7.65704e12 | − | 2.35660e13i | −0.139133 | − | 0.428207i | ||||
\(131\) | 7.64273e13 | 1.32125 | 0.660625 | − | 0.750716i | \(-0.270291\pi\) | ||||
0.660625 | + | 0.750716i | \(0.270291\pi\) | |||||||
\(132\) | −3.24826e13 | + | 1.68394e13i | −0.534466 | + | 0.277073i | ||||
\(133\) | 8.00255e13 | 1.25370 | ||||||||
\(134\) | −5.68623e12 | − | 1.75004e13i | −0.0848484 | − | 0.261136i | ||||
\(135\) | −2.69181e13 | − | 1.95572e13i | −0.382715 | − | 0.278059i | ||||
\(136\) | −3.62539e13 | + | 2.63400e13i | −0.491305 | + | 0.356954i | ||||
\(137\) | 8.24827e12 | − | 2.53856e13i | 0.106581 | − | 0.328022i | −0.883517 | − | 0.468398i | \(-0.844831\pi\) |
0.990098 | + | 0.140376i | \(0.0448312\pi\) | |||||||
\(138\) | 3.46380e13 | − | 1.06605e14i | 0.426913 | − | 1.31390i | ||||
\(139\) | 1.05968e14 | − | 7.69902e13i | 1.24617 | − | 0.905398i | 0.248180 | − | 0.968714i | \(-0.420168\pi\) |
0.997994 | + | 0.0633163i | \(0.0201677\pi\) | |||||||
\(140\) | 2.73416e13 | + | 1.98648e13i | 0.306896 | + | 0.222973i | ||||
\(141\) | −4.37226e13 | − | 1.34564e14i | −0.468578 | − | 1.44213i | ||||
\(142\) | −8.80702e12 | −0.0901477 | ||||||||
\(143\) | −6.49363e13 | − | 6.40297e13i | −0.635043 | − | 0.626177i | ||||
\(144\) | 1.20285e13 | 0.112423 | ||||||||
\(145\) | 1.76823e13 | + | 5.44205e13i | 0.157996 | + | 0.486262i | ||||
\(146\) | 3.41151e13 | + | 2.47861e13i | 0.291510 | + | 0.211794i | ||||
\(147\) | −1.53985e13 | + | 1.11876e13i | −0.125868 | + | 0.0914483i | ||||
\(148\) | −1.22238e13 | + | 3.76210e13i | −0.0956105 | + | 0.294259i | ||||
\(149\) | −5.74850e13 | + | 1.76921e14i | −0.430372 | + | 1.32455i | 0.467383 | + | 0.884055i | \(0.345197\pi\) |
−0.897755 | + | 0.440494i | \(0.854803\pi\) | |||||||
\(150\) | 4.71084e13 | − | 3.42263e13i | 0.337680 | − | 0.245339i | ||||
\(151\) | −1.14747e14 | − | 8.33684e13i | −0.787754 | − | 0.572337i | 0.119542 | − | 0.992829i | \(-0.461857\pi\) |
−0.907296 | + | 0.420493i | \(0.861857\pi\) | |||||||
\(152\) | 1.95986e13 | + | 6.03182e13i | 0.128897 | + | 0.396703i | ||||
\(153\) | 1.22560e14 | 0.772423 | ||||||||
\(154\) | 1.22985e14 | + | 1.85936e13i | 0.742961 | + | 0.112326i | ||||
\(155\) | 5.22932e13 | 0.302893 | ||||||||
\(156\) | 2.98667e13 | + | 9.19202e13i | 0.165912 | + | 0.510624i | ||||
\(157\) | −1.52597e14 | − | 1.10868e14i | −0.813200 | − | 0.590824i | 0.101557 | − | 0.994830i | \(-0.467618\pi\) |
−0.914757 | + | 0.404005i | \(0.867618\pi\) | |||||||
\(158\) | −7.98373e13 | + | 5.80052e13i | −0.408258 | + | 0.296617i | ||||
\(159\) | −1.07122e14 | + | 3.29689e14i | −0.525773 | + | 1.61816i | ||||
\(160\) | −8.27680e12 | + | 2.54734e13i | −0.0390016 | + | 0.120035i | ||||
\(161\) | −3.08282e14 | + | 2.23980e14i | −1.39502 | + | 1.01354i | ||||
\(162\) | 1.64180e14 | + | 1.19284e14i | 0.713629 | + | 0.518482i | ||||
\(163\) | −5.89584e13 | − | 1.81455e14i | −0.246222 | − | 0.757792i | −0.995433 | − | 0.0954614i | \(-0.969567\pi\) |
0.749212 | − | 0.662331i | \(-0.230433\pi\) | |||||||
\(164\) | 1.34642e14 | 0.540377 | ||||||||
\(165\) | −9.97612e13 | + | 1.99243e14i | −0.384872 | + | 0.768664i | ||||
\(166\) | −5.32165e13 | −0.197398 | ||||||||
\(167\) | −1.12068e14 | − | 3.44910e14i | −0.399784 | − | 1.23041i | −0.925173 | − | 0.379546i | \(-0.876080\pi\) |
0.525389 | − | 0.850862i | \(-0.323920\pi\) | |||||||
\(168\) | −1.06647e14 | − | 7.74838e13i | −0.365965 | − | 0.265889i | ||||
\(169\) | 5.01389e13 | − | 3.64280e13i | 0.165543 | − | 0.120274i | ||||
\(170\) | −8.43334e13 | + | 2.59551e14i | −0.267967 | + | 0.824718i | ||||
\(171\) | 5.36016e13 | − | 1.64969e14i | 0.163947 | − | 0.504576i | ||||
\(172\) | 5.90806e13 | − | 4.29245e13i | 0.173984 | − | 0.126407i | ||||
\(173\) | −1.40680e14 | − | 1.02210e14i | −0.398964 | − | 0.289864i | 0.370155 | − | 0.928970i | \(-0.379305\pi\) |
−0.769119 | + | 0.639106i | \(0.779305\pi\) | |||||||
\(174\) | −6.89707e13 | − | 2.12270e14i | −0.188406 | − | 0.579853i | ||||
\(175\) | −1.97952e14 | −0.520970 | ||||||||
\(176\) | 1.61047e13 | + | 9.72518e13i | 0.0408434 | + | 0.246641i | ||||
\(177\) | 5.14051e14 | 1.25655 | ||||||||
\(178\) | 1.02991e14 | + | 3.16973e14i | 0.242699 | + | 0.746951i | ||||
\(179\) | −4.12703e14 | − | 2.99847e14i | −0.937764 | − | 0.681325i | 0.0101177 | − | 0.999949i | \(-0.496779\pi\) |
−0.947881 | + | 0.318624i | \(0.896779\pi\) | |||||||
\(180\) | 5.92640e13 | − | 4.30578e13i | 0.129873 | − | 0.0943584i | ||||
\(181\) | 5.35628e13 | − | 1.64849e14i | 0.113228 | − | 0.348479i | −0.878346 | − | 0.478026i | \(-0.841352\pi\) |
0.991573 | + | 0.129547i | \(0.0413524\pi\) | |||||||
\(182\) | 1.01533e14 | − | 3.12486e14i | 0.207082 | − | 0.637333i | ||||
\(183\) | −3.62150e14 | + | 2.63117e14i | −0.712781 | + | 0.517866i | ||||
\(184\) | −2.44322e14 | − | 1.77510e14i | −0.464137 | − | 0.337215i | ||||
\(185\) | 7.44436e13 | + | 2.29114e14i | 0.136525 | + | 0.420180i | ||||
\(186\) | −2.03972e14 | −0.361191 | ||||||||
\(187\) | 1.64093e14 | + | 9.90911e14i | 0.280621 | + | 1.69459i | ||||
\(188\) | −3.81204e14 | −0.629696 | ||||||||
\(189\) | −1.36338e14 | − | 4.19604e14i | −0.217577 | − | 0.669634i | ||||
\(190\) | 3.12479e14 | + | 2.27029e14i | 0.481861 | + | 0.350093i | ||||
\(191\) | 1.05187e15 | − | 7.64228e14i | 1.56763 | − | 1.13895i | 0.638256 | − | 0.769824i | \(-0.279656\pi\) |
0.929378 | − | 0.369129i | \(-0.120344\pi\) | |||||||
\(192\) | 3.22841e13 | − | 9.93602e13i | 0.0465083 | − | 0.143138i | ||||
\(193\) | 7.23823e13 | − | 2.22770e14i | 0.100812 | − | 0.310266i | −0.887913 | − | 0.460011i | \(-0.847845\pi\) |
0.988725 | + | 0.149745i | \(0.0478454\pi\) | |||||||
\(194\) | −1.55455e14 | + | 1.12944e14i | −0.209359 | + | 0.152109i | ||||
\(195\) | 4.76193e14 | + | 3.45974e14i | 0.620237 | + | 0.450629i | ||||
\(196\) | 1.58466e13 | + | 4.87708e13i | 0.0199651 | + | 0.0614462i | ||||
\(197\) | 8.05582e14 | 0.981928 | 0.490964 | − | 0.871180i | \(-0.336645\pi\) | ||||
0.490964 | + | 0.871180i | \(0.336645\pi\) | |||||||
\(198\) | 1.20706e14 | − | 2.41073e14i | 0.142365 | − | 0.284331i | ||||
\(199\) | −1.07802e15 | −1.23050 | −0.615251 | − | 0.788331i | \(-0.710945\pi\) | ||||
−0.615251 | + | 0.788331i | \(0.710945\pi\) | |||||||
\(200\) | −4.84793e13 | − | 1.49204e14i | −0.0535626 | − | 0.164849i | ||||
\(201\) | 3.53628e14 | + | 2.56926e14i | 0.378244 | + | 0.274810i | ||||
\(202\) | −7.30531e13 | + | 5.30762e13i | −0.0756579 | + | 0.0549687i | ||||
\(203\) | −2.34468e14 | + | 7.21619e14i | −0.235158 | + | 0.723742i | ||||
\(204\) | 3.28947e14 | − | 1.01239e15i | 0.319543 | − | 0.983452i | ||||
\(205\) | 6.63376e14 | − | 4.81971e14i | 0.624251 | − | 0.453545i | ||||
\(206\) | −4.92012e14 | − | 3.57468e14i | −0.448579 | − | 0.325912i | ||||
\(207\) | 2.55235e14 | + | 7.85532e14i | 0.225493 | + | 0.693996i | ||||
\(208\) | 2.60398e14 | 0.222960 | ||||||||
\(209\) | 1.40555e15 | + | 2.12501e14i | 1.16653 | + | 0.176364i | ||||
\(210\) | −8.02810e14 | −0.645932 | ||||||||
\(211\) | −5.19703e14 | − | 1.59948e15i | −0.405433 | − | 1.24780i | −0.920533 | − | 0.390665i | \(-0.872245\pi\) |
0.515099 | − | 0.857131i | \(-0.327755\pi\) | |||||||
\(212\) | 7.55595e14 | + | 5.48972e14i | 0.571618 | + | 0.415305i | ||||
\(213\) | 1.69252e14 | − | 1.22968e14i | 0.124184 | − | 0.0902249i | ||||
\(214\) | 5.30954e13 | − | 1.63411e14i | 0.0377892 | − | 0.116303i | ||||
\(215\) | 1.37433e14 | − | 4.22974e14i | 0.0948942 | − | 0.292054i | ||||
\(216\) | 2.82882e14 | − | 2.05526e14i | 0.189520 | − | 0.137694i | ||||
\(217\) | 5.60981e14 | + | 4.07577e14i | 0.364720 | + | 0.264985i | ||||
\(218\) | 5.46746e14 | + | 1.68271e15i | 0.344999 | + | 1.06180i | ||||
\(219\) | −1.00169e15 | −0.613548 | ||||||||
\(220\) | 4.27474e14 | + | 4.21506e14i | 0.254192 | + | 0.250643i | ||||
\(221\) | 2.65323e15 | 1.53188 | ||||||||
\(222\) | −2.90371e14 | − | 8.93670e14i | −0.162802 | − | 0.501052i | ||||
\(223\) | −1.03730e15 | − | 7.53643e14i | −0.564837 | − | 0.410378i | 0.268389 | − | 0.963311i | \(-0.413509\pi\) |
−0.833226 | + | 0.552933i | \(0.813509\pi\) | |||||||
\(224\) | −2.87332e14 | + | 2.08759e14i | −0.151975 | + | 0.110416i | ||||
\(225\) | −1.32590e14 | + | 4.08069e14i | −0.0681277 | + | 0.209675i | ||||
\(226\) | 7.82016e14 | − | 2.40680e15i | 0.390401 | − | 1.20153i | ||||
\(227\) | −2.82461e15 | + | 2.05220e15i | −1.37022 | + | 0.995525i | −0.372502 | + | 0.928031i | \(0.621500\pi\) |
−0.997720 | + | 0.0674933i | \(0.978500\pi\) | |||||||
\(228\) | −1.21884e15 | − | 8.85538e14i | −0.574605 | − | 0.417475i | ||||
\(229\) | −2.46222e14 | − | 7.57794e14i | −0.112823 | − | 0.347232i | 0.878664 | − | 0.477441i | \(-0.158435\pi\) |
−0.991487 | + | 0.130208i | \(0.958435\pi\) | |||||||
\(230\) | −1.83918e15 | −0.819208 | ||||||||
\(231\) | −2.62311e15 | + | 1.35985e15i | −1.13590 | + | 0.588862i | ||||
\(232\) | −6.01334e14 | −0.253188 | ||||||||
\(233\) | 8.09770e14 | + | 2.49221e15i | 0.331549 | + | 1.02040i | 0.968397 | + | 0.249414i | \(0.0802380\pi\) |
−0.636848 | + | 0.770990i | \(0.719762\pi\) | |||||||
\(234\) | −5.76168e14 | − | 4.18610e14i | −0.229428 | − | 0.166689i | ||||
\(235\) | −1.87817e15 | + | 1.36457e15i | −0.727435 | + | 0.528512i | ||||
\(236\) | 4.27979e14 | − | 1.31718e15i | 0.161248 | − | 0.496270i | ||||
\(237\) | 7.24398e14 | − | 2.22947e15i | 0.265530 | − | 0.817216i | ||||
\(238\) | −2.92766e15 | + | 2.12707e15i | −1.04417 | + | 0.758632i | ||||
\(239\) | 3.57390e15 | + | 2.59659e15i | 1.24039 | + | 0.901192i | 0.997624 | − | 0.0688936i | \(-0.0219469\pi\) |
0.242761 | + | 0.970086i | \(0.421947\pi\) | |||||||
\(240\) | −1.96611e14 | − | 6.05108e14i | −0.0664104 | − | 0.204390i | ||||
\(241\) | 3.02081e14 | 0.0993144 | 0.0496572 | − | 0.998766i | \(-0.484187\pi\) | ||||
0.0496572 | + | 0.998766i | \(0.484187\pi\) | |||||||
\(242\) | 2.11071e15 | + | 6.53150e14i | 0.675504 | + | 0.209032i | ||||
\(243\) | −2.69410e15 | −0.839407 | ||||||||
\(244\) | 3.72689e14 | + | 1.14702e15i | 0.113061 | + | 0.347966i | ||||
\(245\) | 2.52657e14 | + | 1.83566e14i | 0.0746366 | + | 0.0542267i | ||||
\(246\) | −2.58753e15 | + | 1.87995e15i | −0.744402 | + | 0.540839i | ||||
\(247\) | 1.16039e15 | − | 3.57131e15i | 0.325142 | − | 1.00068i | ||||
\(248\) | −1.69819e14 | + | 5.22650e14i | −0.0463501 | + | 0.142651i | ||||
\(249\) | 1.02270e15 | − | 7.43038e14i | 0.271928 | − | 0.197567i | ||||
\(250\) | −2.34958e15 | − | 1.70707e15i | −0.608666 | − | 0.442222i | ||||
\(251\) | 4.18273e14 | + | 1.28731e15i | 0.105580 | + | 0.324941i | 0.989866 | − | 0.142004i | \(-0.0453546\pi\) |
−0.884286 | + | 0.466945i | \(0.845355\pi\) | |||||||
\(252\) | 9.71357e14 | 0.238933 | ||||||||
\(253\) | −6.00937e15 | + | 3.11533e15i | −1.44061 | + | 0.746828i | ||||
\(254\) | 5.21688e15 | 1.21897 | ||||||||
\(255\) | −2.00330e15 | − | 6.16552e15i | −0.456283 | − | 1.40430i | ||||
\(256\) | −2.27718e14 | − | 1.65447e14i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | 6.51314e15 | − | 4.73208e15i | 1.41002 | − | 1.02444i | 0.416701 | − | 0.909044i | \(-0.363186\pi\) |
0.993320 | − | 0.115396i | \(-0.0368137\pi\) | |||||||
\(258\) | −5.36063e14 | + | 1.64983e15i | −0.113159 | + | 0.348266i | ||||
\(259\) | −9.87127e14 | + | 3.03806e15i | −0.203200 | + | 0.625386i | ||||
\(260\) | 1.28297e15 | − | 9.32132e14i | 0.257567 | − | 0.187133i | ||||
\(261\) | 1.33054e15 | + | 9.66690e14i | 0.260533 | + | 0.189288i | ||||
\(262\) | 1.51151e15 | + | 4.65195e15i | 0.288704 | + | 0.888539i | ||||
\(263\) | −5.10930e15 | −0.952027 | −0.476013 | − | 0.879438i | \(-0.657919\pi\) | ||||
−0.476013 | + | 0.879438i | \(0.657919\pi\) | |||||||
\(264\) | −1.66738e15 | − | 1.64410e15i | −0.303117 | − | 0.298885i | ||||
\(265\) | 5.68790e15 | 1.00891 | ||||||||
\(266\) | 1.58267e15 | + | 4.87096e15i | 0.273943 | + | 0.843109i | ||||
\(267\) | −6.40501e15 | − | 4.65351e15i | −1.08192 | − | 0.786063i | ||||
\(268\) | 9.52752e14 | − | 6.92215e14i | 0.157074 | − | 0.114121i | ||||
\(269\) | −1.17360e15 | + | 3.61196e15i | −0.188855 | + | 0.581237i | −0.999993 | − | 0.00361754i | \(-0.998848\pi\) |
0.811138 | + | 0.584855i | \(0.198848\pi\) | |||||||
\(270\) | 6.58036e14 | − | 2.02523e15i | 0.103368 | − | 0.318133i | ||||
\(271\) | 6.80863e15 | − | 4.94676e15i | 1.04414 | − | 0.758613i | 0.0730515 | − | 0.997328i | \(-0.476726\pi\) |
0.971090 | + | 0.238715i | \(0.0767262\pi\) | |||||||
\(272\) | −2.32025e15 | − | 1.68576e15i | −0.347405 | − | 0.252405i | ||||
\(273\) | 2.41186e15 | + | 7.42296e15i | 0.352611 | + | 1.08522i | ||||
\(274\) | 1.70829e15 | 0.243883 | ||||||||
\(275\) | −3.47680e15 | − | 5.25645e14i | −0.484749 | − | 0.0732875i | ||||
\(276\) | 7.17383e15 | 0.976881 | ||||||||
\(277\) | 1.07218e15 | + | 3.29982e15i | 0.142609 | + | 0.438906i | 0.996696 | − | 0.0812248i | \(-0.0258832\pi\) |
−0.854087 | + | 0.520131i | \(0.825883\pi\) | |||||||
\(278\) | 6.78195e15 | + | 4.92737e15i | 0.881177 | + | 0.640213i | ||||
\(279\) | 1.21595e15 | − | 8.83439e14i | 0.154343 | − | 0.112137i | ||||
\(280\) | −6.68388e14 | + | 2.05709e15i | −0.0828899 | + | 0.255109i | ||||
\(281\) | −1.32728e14 | + | 4.08494e14i | −0.0160831 | + | 0.0494988i | −0.958776 | − | 0.284163i | \(-0.908284\pi\) |
0.942693 | + | 0.333662i | \(0.108284\pi\) | |||||||
\(282\) | 7.32590e15 | − | 5.32258e15i | 0.867445 | − | 0.630235i | ||||
\(283\) | −7.78953e15 | − | 5.65943e15i | −0.901363 | − | 0.654878i | 0.0374528 | − | 0.999298i | \(-0.488076\pi\) |
−0.938816 | + | 0.344420i | \(0.888076\pi\) | |||||||
\(284\) | −1.74177e14 | − | 5.36062e14i | −0.0196980 | − | 0.0606242i | ||||
\(285\) | −9.17506e15 | −1.01419 | ||||||||
\(286\) | 2.61308e15 | − | 5.21884e15i | 0.282341 | − | 0.563890i | ||||
\(287\) | 1.08730e16 | 1.14846 | ||||||||
\(288\) | 2.37889e14 | + | 7.32149e14i | 0.0245654 | + | 0.0756046i | ||||
\(289\) | −1.56283e16 | − | 1.13546e16i | −1.57789 | − | 1.14640i | ||||
\(290\) | −2.96274e15 | + | 2.15256e15i | −0.292487 | + | 0.212504i | ||||
\(291\) | 1.41051e15 | − | 4.34109e15i | 0.136167 | − | 0.419078i | ||||
\(292\) | −8.33972e14 | + | 2.56670e15i | −0.0787341 | + | 0.242319i | ||||
\(293\) | 1.71582e16 | − | 1.24661e16i | 1.58428 | − | 1.15105i | 0.672701 | − | 0.739914i | \(-0.265134\pi\) |
0.911576 | − | 0.411131i | \(-0.134866\pi\) | |||||||
\(294\) | −9.85502e14 | − | 7.16009e14i | −0.0890020 | − | 0.0646637i | ||||
\(295\) | −2.60641e15 | − | 8.02171e15i | −0.230250 | − | 0.708637i | ||||
\(296\) | −2.53165e15 | −0.218780 | ||||||||
\(297\) | −1.28039e15 | − | 7.73188e15i | −0.108249 | − | 0.653684i | ||||
\(298\) | −1.19056e16 | −0.984797 | ||||||||
\(299\) | 5.52542e15 | + | 1.70055e16i | 0.447201 | + | 1.37634i | ||||
\(300\) | 3.01494e15 | + | 2.19048e15i | 0.238776 | + | 0.173481i | ||||
\(301\) | 4.77101e15 | − | 3.46634e15i | 0.369767 | − | 0.268652i | ||||
\(302\) | 2.80508e15 | − | 8.63315e15i | 0.212765 | − | 0.654823i | ||||
\(303\) | 6.62841e14 | − | 2.04002e15i | 0.0492076 | − | 0.151445i | ||||
\(304\) | −3.28382e15 | + | 2.38584e15i | −0.238617 | + | 0.173365i | ||||
\(305\) | 5.94213e15 | + | 4.31721e15i | 0.422662 | + | 0.307082i | ||||
\(306\) | 2.42389e15 | + | 7.45995e15i | 0.168781 | + | 0.519454i | ||||
\(307\) | −8.32249e15 | −0.567353 | −0.283677 | − | 0.958920i | \(-0.591554\pi\) | ||||
−0.283677 | + | 0.958920i | \(0.591554\pi\) | |||||||
\(308\) | 1.30053e15 | + | 7.85351e15i | 0.0868041 | + | 0.524184i | ||||
\(309\) | 1.44466e16 | 0.944136 | ||||||||
\(310\) | 1.03421e15 | + | 3.18296e15i | 0.0661845 | + | 0.203695i | ||||
\(311\) | 2.21842e15 | + | 1.61178e15i | 0.139028 | + | 0.101010i | 0.655125 | − | 0.755520i | \(-0.272616\pi\) |
−0.516098 | + | 0.856530i | \(0.672616\pi\) | |||||||
\(312\) | −5.00429e15 | + | 3.63583e15i | −0.307141 | + | 0.223151i | ||||
\(313\) | −7.43967e15 | + | 2.28970e16i | −0.447214 | + | 1.37638i | 0.432823 | + | 0.901479i | \(0.357517\pi\) |
−0.880037 | + | 0.474905i | \(0.842483\pi\) | |||||||
\(314\) | 3.73035e15 | − | 1.14808e16i | 0.219638 | − | 0.675976i | ||||
\(315\) | 4.78583e15 | − | 3.47711e15i | 0.276019 | − | 0.200539i | ||||
\(316\) | −5.10959e15 | − | 3.71233e15i | −0.288682 | − | 0.209740i | ||||
\(317\) | 9.79797e15 | + | 3.01550e16i | 0.542314 | + | 1.66907i | 0.727292 | + | 0.686328i | \(0.240778\pi\) |
−0.184978 | + | 0.982743i | \(0.559222\pi\) | |||||||
\(318\) | −2.21859e16 | −1.20310 | ||||||||
\(319\) | −6.03436e15 | + | 1.20518e16i | −0.320621 | + | 0.640341i | ||||
\(320\) | −1.71419e15 | −0.0892453 | ||||||||
\(321\) | 1.26126e15 | + | 3.88175e15i | 0.0643458 | + | 0.198036i | ||||
\(322\) | −1.97301e16 | − | 1.43347e16i | −0.986427 | − | 0.716681i | ||||
\(323\) | −3.34593e16 | + | 2.43096e16i | −1.63946 | + | 1.19114i | ||||
\(324\) | −4.01351e15 | + | 1.23523e16i | −0.192745 | + | 0.593207i | ||||
\(325\) | −2.87035e15 | + | 8.83404e15i | −0.135112 | + | 0.415831i | ||||
\(326\) | 9.87872e15 | − | 7.17731e15i | 0.455813 | − | 0.331167i | ||||
\(327\) | −3.40022e16 | − | 2.47040e16i | −1.53797 | − | 1.11740i | ||||
\(328\) | 2.66283e15 | + | 8.19536e15i | 0.118077 | + | 0.363402i | ||||
\(329\) | −3.07839e16 | −1.33829 | ||||||||
\(330\) | −1.41004e16 | − | 2.13179e15i | −0.601023 | − | 0.0908666i | ||||
\(331\) | 2.13748e16 | 0.893348 | 0.446674 | − | 0.894697i | \(-0.352608\pi\) | ||||
0.446674 | + | 0.894697i | \(0.352608\pi\) | |||||||
\(332\) | −1.05247e15 | − | 3.23916e15i | −0.0431331 | − | 0.132750i | ||||
\(333\) | 5.60164e15 | + | 4.06983e15i | 0.225127 | + | 0.163564i | ||||
\(334\) | 1.87775e16 | − | 1.36426e16i | 0.740092 | − | 0.537708i | ||||
\(335\) | 2.21628e15 | − | 6.82102e15i | 0.0856710 | − | 0.263668i | ||||
\(336\) | 2.60708e15 | − | 8.02377e15i | 0.0988437 | − | 0.304210i | ||||
\(337\) | 2.49455e16 | − | 1.81240e16i | 0.927679 | − | 0.673998i | −0.0177443 | − | 0.999843i | \(-0.505648\pi\) |
0.945424 | + | 0.325844i | \(0.105648\pi\) | |||||||
\(338\) | 3.20889e15 | + | 2.33140e15i | 0.117057 | + | 0.0850467i | ||||
\(339\) | 1.85764e16 | + | 5.71723e16i | 0.664758 | + | 2.04592i | ||||
\(340\) | −1.74661e16 | −0.613174 | ||||||||
\(341\) | 8.77069e15 | + | 8.64824e15i | 0.302086 | + | 0.297868i | ||||
\(342\) | 1.11013e16 | 0.375151 | ||||||||
\(343\) | −8.62368e15 | − | 2.65410e16i | −0.285944 | − | 0.880045i | ||||
\(344\) | 3.78116e15 | + | 2.74717e15i | 0.123025 | + | 0.0893832i | ||||
\(345\) | 3.53451e16 | − | 2.56797e16i | 1.12851 | − | 0.819909i | ||||
\(346\) | 3.43904e15 | − | 1.05843e16i | 0.107756 | − | 0.331640i | ||||
\(347\) | 5.72429e15 | − | 1.76176e16i | 0.176027 | − | 0.541757i | −0.823652 | − | 0.567096i | \(-0.808067\pi\) |
0.999679 | + | 0.0253397i | \(0.00806673\pi\) | |||||||
\(348\) | 1.15563e16 | − | 8.39616e15i | 0.348782 | − | 0.253405i | ||||
\(349\) | −1.29302e16 | − | 9.39432e15i | −0.383035 | − | 0.278292i | 0.379560 | − | 0.925167i | \(-0.376075\pi\) |
−0.762596 | + | 0.646876i | \(0.776075\pi\) | |||||||
\(350\) | −3.91492e15 | − | 1.20489e16i | −0.113836 | − | 0.350352i | ||||
\(351\) | −2.07026e16 | −0.590921 | ||||||||
\(352\) | −5.60098e15 | + | 2.90361e15i | −0.156941 | + | 0.0813601i | ||||
\(353\) | 1.47826e16 | 0.406645 | 0.203323 | − | 0.979112i | \(-0.434826\pi\) | ||||
0.203323 | + | 0.979112i | \(0.434826\pi\) | |||||||
\(354\) | 1.01664e16 | + | 3.12891e16i | 0.274567 | + | 0.845029i | ||||
\(355\) | −2.77707e15 | − | 2.01766e15i | −0.0736381 | − | 0.0535012i | ||||
\(356\) | −1.72565e16 | + | 1.25376e16i | −0.449292 | + | 0.326429i | ||||
\(357\) | 2.65639e16 | − | 8.17552e16i | 0.679122 | − | 2.09012i | ||||
\(358\) | 1.00889e16 | − | 3.10504e16i | 0.253281 | − | 0.779520i | ||||
\(359\) | −3.61227e14 | + | 2.62447e14i | −0.00890567 | + | 0.00647035i | −0.592229 | − | 0.805770i | \(-0.701752\pi\) |
0.583324 | + | 0.812240i | \(0.301752\pi\) | |||||||
\(360\) | 3.79290e15 | + | 2.75570e15i | 0.0918343 | + | 0.0667215i | ||||
\(361\) | 5.09276e15 | + | 1.56739e16i | 0.121103 | + | 0.372718i | ||||
\(362\) | 1.10933e16 | 0.259093 | ||||||||
\(363\) | −4.96828e16 | + | 1.69187e16i | −1.13976 | + | 0.388128i | ||||
\(364\) | 2.10283e16 | 0.473855 | ||||||||
\(365\) | 5.07893e15 | + | 1.56313e16i | 0.112426 | + | 0.346013i | ||||
\(366\) | −2.31776e16 | − | 1.68395e16i | −0.504012 | − | 0.366186i | ||||
\(367\) | 1.22550e16 | − | 8.90380e15i | 0.261809 | − | 0.190215i | −0.449135 | − | 0.893464i | \(-0.648268\pi\) |
0.710944 | + | 0.703248i | \(0.248268\pi\) | |||||||
\(368\) | 5.97265e15 | − | 1.83819e16i | 0.125359 | − | 0.385816i | ||||
\(369\) | 7.28278e15 | − | 2.24141e16i | 0.150185 | − | 0.462221i | ||||
\(370\) | −1.24733e16 | + | 9.06241e15i | −0.252738 | + | 0.183625i | ||||
\(371\) | 6.10176e16 | + | 4.43318e16i | 1.21485 | + | 0.882644i | ||||
\(372\) | −4.03398e15 | − | 1.24153e16i | −0.0789231 | − | 0.242900i | ||||
\(373\) | −1.45128e16 | −0.279025 | −0.139512 | − | 0.990220i | \(-0.544554\pi\) | ||||
−0.139512 | + | 0.990220i | \(0.544554\pi\) | |||||||
\(374\) | −5.70691e16 | + | 2.95853e16i | −1.07829 | + | 0.558998i | ||||
\(375\) | 6.89887e16 | 1.28108 | ||||||||
\(376\) | −7.53910e15 | − | 2.32030e16i | −0.137594 | − | 0.423470i | ||||
\(377\) | 2.88039e16 | + | 2.09273e16i | 0.516693 | + | 0.375400i | ||||
\(378\) | 2.28439e16 | − | 1.65971e16i | 0.402786 | − | 0.292641i | ||||
\(379\) | −6.30688e15 | + | 1.94106e16i | −0.109310 | + | 0.336422i | −0.990718 | − | 0.135934i | \(-0.956596\pi\) |
0.881408 | + | 0.472356i | \(0.156596\pi\) | |||||||
\(380\) | −7.63880e15 | + | 2.35098e16i | −0.130146 | + | 0.400549i | ||||
\(381\) | −1.00257e17 | + | 7.28409e16i | −1.67920 | + | 1.22001i | ||||
\(382\) | 6.73196e16 | + | 4.89106e16i | 1.10848 | + | 0.805361i | ||||
\(383\) | 2.40083e16 | + | 7.38898e16i | 0.388659 | + | 1.19617i | 0.933791 | + | 0.357819i | \(0.116479\pi\) |
−0.545132 | + | 0.838350i | \(0.683521\pi\) | |||||||
\(384\) | 6.68630e15 | 0.106422 | ||||||||
\(385\) | 3.45204e16 | + | 3.40384e16i | 0.540232 | + | 0.532690i | ||||
\(386\) | 1.49910e16 | 0.230682 | ||||||||
\(387\) | −3.95005e15 | − | 1.21570e16i | −0.0597697 | − | 0.183952i | ||||
\(388\) | −9.94910e15 | − | 7.22844e15i | −0.148039 | − | 0.107557i | ||||
\(389\) | 6.69172e16 | − | 4.86182e16i | 0.979187 | − | 0.711421i | 0.0216601 | − | 0.999765i | \(-0.493105\pi\) |
0.957527 | + | 0.288344i | \(0.0931048\pi\) | |||||||
\(390\) | −1.16409e16 | + | 3.58271e16i | −0.167520 | + | 0.515574i | ||||
\(391\) | 6.08560e16 | − | 1.87296e17i | 0.861301 | − | 2.65081i | ||||
\(392\) | −2.65516e15 | + | 1.92909e15i | −0.0369600 | + | 0.0268530i | ||||
\(393\) | −9.40010e16 | − | 6.82957e16i | −1.28701 | − | 0.935065i | ||||
\(394\) | 1.59321e16 | + | 4.90339e16i | 0.214559 | + | 0.660345i | ||||
\(395\) | −3.84635e16 | −0.509528 | ||||||||
\(396\) | 1.70607e16 | + | 2.57936e15i | 0.222320 | + | 0.0336119i | ||||
\(397\) | −2.50759e16 | −0.321454 | −0.160727 | − | 0.986999i | \(-0.551384\pi\) | ||||
−0.160727 | + | 0.986999i | \(0.551384\pi\) | |||||||
\(398\) | −2.13201e16 | − | 6.56166e16i | −0.268874 | − | 0.827510i | ||||
\(399\) | −9.84265e16 | − | 7.15111e16i | −1.22120 | − | 0.887257i | ||||
\(400\) | 8.12292e15 | − | 5.90164e15i | 0.0991567 | − | 0.0720416i | ||||
\(401\) | −2.62565e16 | + | 8.08092e16i | −0.315354 | + | 0.970560i | 0.660254 | + | 0.751042i | \(0.270449\pi\) |
−0.975608 | + | 0.219518i | \(0.929551\pi\) | |||||||
\(402\) | −8.64472e15 | + | 2.66057e16i | −0.102160 | + | 0.314417i | ||||
\(403\) | 2.63233e16 | − | 1.91250e16i | 0.306096 | − | 0.222392i | ||||
\(404\) | −4.67540e15 | − | 3.39687e15i | −0.0534982 | − | 0.0388688i | ||||
\(405\) | 2.44425e16 | + | 7.52262e16i | 0.275225 | + | 0.847055i | ||||
\(406\) | −4.85603e16 | −0.538099 | ||||||||
\(407\) | −2.54050e16 | + | 5.07388e16i | −0.277049 | + | 0.553320i | ||||
\(408\) | 6.81276e16 | 0.731193 | ||||||||
\(409\) | −2.89637e16 | − | 8.91412e16i | −0.305952 | − | 0.941623i | −0.979320 | − | 0.202316i | \(-0.935153\pi\) |
0.673368 | − | 0.739307i | \(-0.264847\pi\) | |||||||
\(410\) | 4.24560e16 | + | 3.08461e16i | 0.441412 | + | 0.320705i | ||||
\(411\) | −3.28295e16 | + | 2.38520e16i | −0.335964 | + | 0.244092i | ||||
\(412\) | 1.20276e16 | − | 3.70173e16i | 0.121157 | − | 0.372883i | ||||
\(413\) | 3.45612e16 | − | 1.06368e17i | 0.342699 | − | 1.05472i | ||||
\(414\) | −4.27657e16 | + | 3.10711e16i | −0.417439 | + | 0.303287i | ||||
\(415\) | −1.67805e16 | − | 1.21917e16i | −0.161247 | − | 0.117153i | ||||
\(416\) | 5.14992e15 | + | 1.58498e16i | 0.0487185 | + | 0.149940i | ||||
\(417\) | −1.99133e17 | −1.85464 | ||||||||
\(418\) | 1.48633e16 | + | 8.97553e16i | 0.136292 | + | 0.823027i | ||||
\(419\) | −1.56654e17 | −1.41433 | −0.707163 | − | 0.707050i | \(-0.750025\pi\) | ||||
−0.707163 | + | 0.707050i | \(0.750025\pi\) | |||||||
\(420\) | −1.58772e16 | − | 4.88651e16i | −0.141141 | − | 0.434389i | ||||
\(421\) | −1.60951e16 | − | 1.16938e16i | −0.140884 | − | 0.102358i | 0.515111 | − | 0.857123i | \(-0.327751\pi\) |
−0.655995 | + | 0.754765i | \(0.727751\pi\) | |||||||
\(422\) | 8.70785e16 | − | 6.32662e16i | 0.750550 | − | 0.545307i | ||||
\(423\) | −2.06192e16 | + | 6.34595e16i | −0.175009 | + | 0.538622i | ||||
\(424\) | −1.84711e16 | + | 5.68483e16i | −0.154389 | + | 0.475160i | ||||
\(425\) | 8.27654e16 | − | 6.01326e16i | 0.681272 | − | 0.494973i | ||||
\(426\) | 1.08321e16 | + | 7.86998e15i | 0.0878113 | + | 0.0637986i | ||||
\(427\) | 3.00963e16 | + | 9.26268e16i | 0.240288 | + | 0.739529i | ||||
\(428\) | 1.09965e16 | 0.0864709 | ||||||||
\(429\) | 2.26505e16 | + | 1.36780e17i | 0.175431 | + | 1.05938i | ||||
\(430\) | 2.84634e16 | 0.217141 | ||||||||
\(431\) | 1.43166e16 | + | 4.40621e16i | 0.107582 | + | 0.331103i | 0.990328 | − | 0.138748i | \(-0.0443077\pi\) |
−0.882746 | + | 0.469851i | \(0.844308\pi\) | |||||||
\(432\) | 1.81044e16 | + | 1.31536e16i | 0.134011 | + | 0.0973647i | ||||
\(433\) | −1.81457e17 | + | 1.31836e17i | −1.32313 | + | 0.961310i | −0.323242 | + | 0.946316i | \(0.604773\pi\) |
−0.999888 | + | 0.0149940i | \(0.995227\pi\) | |||||||
\(434\) | −1.37136e16 | + | 4.22063e16i | −0.0985076 | + | 0.303175i | ||||
\(435\) | 2.68822e16 | − | 8.27349e16i | 0.190232 | − | 0.585475i | ||||
\(436\) | −9.16095e16 | + | 6.65582e16i | −0.638673 | + | 0.464023i | ||||
\(437\) | −2.25489e17 | − | 1.63827e17i | −1.54880 | − | 1.12527i | ||||
\(438\) | −1.98106e16 | − | 6.09708e16i | −0.134065 | − | 0.412610i | ||||
\(439\) | 2.20796e17 | 1.47222 | 0.736110 | − | 0.676862i | \(-0.236661\pi\) | ||||
0.736110 | + | 0.676862i | \(0.236661\pi\) | |||||||
\(440\) | −1.72019e16 | + | 3.43555e16i | −0.113014 | + | 0.225711i | ||||
\(441\) | 8.97608e15 | 0.0581080 | ||||||||
\(442\) | 5.24732e16 | + | 1.61496e17i | 0.334729 | + | 1.03019i | ||||
\(443\) | 6.46494e16 | + | 4.69706e16i | 0.406388 | + | 0.295258i | 0.772138 | − | 0.635455i | \(-0.219188\pi\) |
−0.365750 | + | 0.930713i | \(0.619188\pi\) | |||||||
\(444\) | 4.86529e16 | − | 3.53484e16i | 0.301383 | − | 0.218968i | ||||
\(445\) | −4.01420e16 | + | 1.23544e17i | −0.245052 | + | 0.754193i | ||||
\(446\) | 2.53577e16 | − | 7.80429e16i | 0.152557 | − | 0.469523i | ||||
\(447\) | 2.28800e17 | − | 1.66233e17i | 1.35662 | − | 0.985641i | ||||
\(448\) | −1.83892e16 | − | 1.33606e16i | −0.107462 | − | 0.0780760i | ||||
\(449\) | −2.92942e16 | − | 9.01583e16i | −0.168725 | − | 0.519284i | 0.830566 | − | 0.556920i | \(-0.188017\pi\) |
−0.999291 | + | 0.0376365i | \(0.988017\pi\) | |||||||
\(450\) | −2.74604e16 | −0.155893 | ||||||||
\(451\) | 1.90971e17 | + | 2.88722e16i | 1.06861 | + | 0.161559i | ||||
\(452\) | 1.61962e17 | 0.893333 | ||||||||
\(453\) | 6.66333e16 | + | 2.05076e17i | 0.362287 | + | 1.11501i | ||||
\(454\) | −1.80775e17 | − | 1.31341e17i | −0.968893 | − | 0.703942i | ||||
\(455\) | 1.03605e17 | − | 7.52737e16i | 0.547404 | − | 0.397713i | ||||
\(456\) | 2.97955e16 | − | 9.17012e16i | 0.155196 | − | 0.477643i | ||||
\(457\) | 4.42183e16 | − | 1.36090e17i | 0.227063 | − | 0.698828i | −0.771013 | − | 0.636820i | \(-0.780250\pi\) |
0.998076 | − | 0.0620081i | \(-0.0197505\pi\) | |||||||
\(458\) | 4.12555e16 | − | 2.99739e16i | 0.208861 | − | 0.151746i | ||||
\(459\) | 1.84468e17 | + | 1.34024e17i | 0.920744 | + | 0.668960i | ||||
\(460\) | −3.63737e16 | − | 1.11947e17i | −0.179003 | − | 0.550916i | ||||
\(461\) | −2.71671e17 | −1.31822 | −0.659109 | − | 0.752047i | \(-0.729067\pi\) | ||||
−0.659109 | + | 0.752047i | \(0.729067\pi\) | |||||||
\(462\) | −1.34648e17 | − | 1.32769e17i | −0.644211 | − | 0.635217i | ||||
\(463\) | 1.97663e17 | 0.932500 | 0.466250 | − | 0.884653i | \(-0.345605\pi\) | ||||
0.466250 | + | 0.884653i | \(0.345605\pi\) | |||||||
\(464\) | −1.18926e16 | − | 3.66018e16i | −0.0553237 | − | 0.170269i | ||||
\(465\) | −6.43175e16 | − | 4.67294e16i | −0.295043 | − | 0.214361i | ||||
\(466\) | −1.35680e17 | + | 9.85775e16i | −0.613774 | + | 0.445933i | ||||
\(467\) | 3.79255e16 | − | 1.16723e17i | 0.169189 | − | 0.520709i | −0.830132 | − | 0.557567i | \(-0.811735\pi\) |
0.999321 | + | 0.0368578i | \(0.0117349\pi\) | |||||||
\(468\) | 1.40849e16 | − | 4.33489e16i | 0.0619663 | − | 0.190713i | ||||
\(469\) | 7.69389e16 | − | 5.58994e16i | 0.333828 | − | 0.242540i | ||||
\(470\) | −1.20203e17 | − | 8.73326e16i | −0.514374 | − | 0.373715i | ||||
\(471\) | 8.86127e16 | + | 2.72722e17i | 0.373990 | + | 1.15102i | ||||
\(472\) | 8.86380e16 | 0.368975 | ||||||||
\(473\) | 9.30018e16 | − | 4.82132e16i | 0.381851 | − | 0.197956i | ||||
\(474\) | 1.50029e17 | 0.607597 | ||||||||
\(475\) | −4.47424e16 | − | 1.37703e17i | −0.178735 | − | 0.550091i | ||||
\(476\) | −1.87370e17 | − | 1.36132e17i | −0.738338 | − | 0.536434i | ||||
\(477\) | 1.32258e17 | − | 9.60911e16i | 0.514106 | − | 0.373520i | ||||
\(478\) | −8.73670e16 | + | 2.68888e17i | −0.335017 | + | 1.03107i | ||||
\(479\) | 2.52044e15 | − | 7.75711e15i | 0.00953443 | − | 0.0293440i | −0.946176 | − | 0.323652i | \(-0.895089\pi\) |
0.955711 | + | 0.294308i | \(0.0950892\pi\) | |||||||
\(480\) | 3.29431e16 | − | 2.39345e16i | 0.122941 | − | 0.0893217i | ||||
\(481\) | 1.21266e17 | + | 8.81052e16i | 0.446475 | + | 0.324383i | ||||
\(482\) | 5.97428e15 | + | 1.83869e16i | 0.0217010 | + | 0.0667888i | ||||
\(483\) | 5.79318e17 | 2.07616 | ||||||||
\(484\) | 1.98792e15 | + | 1.41391e17i | 0.00702918 | + | 0.499951i | ||||
\(485\) | −7.48939e16 | −0.261292 | ||||||||
\(486\) | −5.32814e16 | − | 1.63983e17i | −0.183417 | − | 0.564500i | ||||
\(487\) | −1.17034e17 | − | 8.50303e16i | −0.397534 | − | 0.288826i | 0.371002 | − | 0.928632i | \(-0.379014\pi\) |
−0.768536 | + | 0.639807i | \(0.779014\pi\) | |||||||
\(488\) | −6.24456e16 | + | 4.53694e16i | −0.209302 | + | 0.152067i | ||||
\(489\) | −8.96338e16 | + | 2.75864e17i | −0.296459 | + | 0.912406i | ||||
\(490\) | −6.17641e15 | + | 1.90090e16i | −0.0201587 | + | 0.0620420i | ||||
\(491\) | −1.75898e17 | + | 1.27798e17i | −0.566542 | + | 0.411617i | −0.833848 | − | 0.551995i | \(-0.813867\pi\) |
0.267305 | + | 0.963612i | \(0.413867\pi\) | |||||||
\(492\) | −1.65602e17 | − | 1.20317e17i | −0.526371 | − | 0.382431i | ||||
\(493\) | −1.21175e17 | − | 3.72940e17i | −0.380110 | − | 1.16986i | ||||
\(494\) | 2.40326e17 | 0.744004 | ||||||||
\(495\) | 9.32906e16 | − | 4.83629e16i | 0.285039 | − | 0.147767i | ||||
\(496\) | −3.51710e16 | −0.106061 | ||||||||
\(497\) | −1.40656e16 | − | 4.32893e16i | −0.0418640 | − | 0.128844i | ||||
\(498\) | 6.54531e16 | + | 4.75544e16i | 0.192282 | + | 0.139701i | ||||
\(499\) | −3.62935e17 | + | 2.63688e17i | −1.05239 | + | 0.764604i | −0.972665 | − | 0.232213i | \(-0.925403\pi\) |
−0.0797220 | + | 0.996817i | \(0.525403\pi\) | |||||||
\(500\) | 5.74373e16 | − | 1.76774e17i | 0.164395 | − | 0.505956i | ||||
\(501\) | −1.70376e17 | + | 5.24364e17i | −0.481353 | + | 1.48145i | ||||
\(502\) | −7.00834e16 | + | 5.09185e16i | −0.195452 | + | 0.142004i | ||||
\(503\) | −1.33451e17 | − | 9.69577e16i | −0.367392 | − | 0.266926i | 0.388737 | − | 0.921349i | \(-0.372912\pi\) |
−0.756129 | + | 0.654423i | \(0.772912\pi\) | |||||||
\(504\) | 1.92106e16 | + | 5.91242e16i | 0.0522087 | + | 0.160682i | ||||
\(505\) | −3.51950e16 | −0.0944251 | ||||||||
\(506\) | −3.08470e17 | − | 3.04164e17i | −0.817025 | − | 0.805618i | ||||
\(507\) | −9.42201e16 | −0.246372 | ||||||||
\(508\) | 1.03175e17 | + | 3.17539e17i | 0.266354 | + | 0.819752i | ||||
\(509\) | −2.06572e17 | − | 1.50083e17i | −0.526509 | − | 0.382531i | 0.292541 | − | 0.956253i | \(-0.405499\pi\) |
−0.819050 | + | 0.573722i | \(0.805499\pi\) | |||||||
\(510\) | 3.35661e17 | − | 2.43872e17i | 0.844685 | − | 0.613700i | ||||
\(511\) | −6.73469e16 | + | 2.07272e17i | −0.167333 | + | 0.514998i | ||||
\(512\) | 5.56676e15 | − | 1.71327e16i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | 2.61076e17 | − | 1.89683e17i | 0.632418 | − | 0.459479i | ||||
\(514\) | 4.16841e17 | + | 3.02853e17i | 0.997035 | + | 0.724388i | ||||
\(515\) | −7.32489e16 | − | 2.25437e17i | −0.173003 | − | 0.532449i | ||||
\(516\) | −1.11023e17 | −0.258935 | ||||||||
\(517\) | −5.40682e17 | − | 8.17439e16i | −1.24524 | − | 0.188264i | ||||
\(518\) | −2.04442e17 | −0.464972 | ||||||||
\(519\) | 8.16928e16 | + | 2.51425e17i | 0.183483 | + | 0.564703i | ||||
\(520\) | 8.21101e16 | + | 5.96564e16i | 0.182127 | + | 0.132323i | ||||
\(521\) | −4.33815e17 | + | 3.15185e17i | −0.950298 | + | 0.690432i | −0.950877 | − | 0.309568i | \(-0.899816\pi\) |
0.000579489 | 1.00000i | \(0.499816\pi\) | ||||||||
\(522\) | −3.25260e16 | + | 1.00105e17i | −0.0703676 | + | 0.216569i | ||||
\(523\) | −1.42876e16 | + | 4.39728e16i | −0.0305280 | + | 0.0939556i | −0.965160 | − | 0.261662i | \(-0.915729\pi\) |
0.934632 | + | 0.355618i | \(0.115729\pi\) | |||||||
\(524\) | −2.53260e17 | + | 1.84004e17i | −0.534457 | + | 0.388306i | ||||
\(525\) | 2.43469e17 | + | 1.76891e17i | 0.507468 | + | 0.368697i | ||||
\(526\) | −1.01047e17 | − | 3.10991e17i | −0.208025 | − | 0.640236i | ||||
\(527\) | −3.58362e17 | −0.728706 | ||||||||
\(528\) | 6.70967e16 | − | 1.34005e17i | 0.134766 | − | 0.269154i | ||||
\(529\) | 8.23142e17 | 1.63310 | ||||||||
\(530\) | 1.12490e17 | + | 3.46209e17i | 0.220455 | + | 0.678492i | ||||
\(531\) | −1.96124e17 | − | 1.42492e17i | −0.379679 | − | 0.275853i | ||||
\(532\) | −2.65183e17 | + | 1.92667e17i | −0.507131 | + | 0.368452i | ||||
\(533\) | 1.57660e17 | − | 4.85229e17i | 0.297849 | − | 0.916684i | ||||
\(534\) | 1.56576e17 | − | 4.81890e17i | 0.292217 | − | 0.899353i | ||||
\(535\) | 5.41792e16 | − | 3.93635e16i | 0.0998925 | − | 0.0725762i | ||||
\(536\) | 6.09761e16 | + | 4.43018e16i | 0.111068 | + | 0.0806956i | ||||
\(537\) | 2.39656e17 | + | 7.37587e17i | 0.431277 | + | 1.32733i | ||||
\(538\) | −2.43062e17 | −0.432148 | ||||||||
\(539\) | 1.20179e16 | + | 7.25724e16i | 0.0211106 | + | 0.127481i | ||||
\(540\) | 1.36285e17 | 0.236531 | ||||||||
\(541\) | −6.63081e16 | − | 2.04075e17i | −0.113706 | − | 0.349952i | 0.877969 | − | 0.478718i | \(-0.158898\pi\) |
−0.991675 | + | 0.128766i | \(0.958898\pi\) | |||||||
\(542\) | 4.35752e17 | + | 3.16592e17i | 0.738319 | + | 0.536420i | ||||
\(543\) | −2.13189e17 | + | 1.54891e17i | −0.356916 | + | 0.259315i | ||||
\(544\) | 5.67204e16 | − | 1.74567e17i | 0.0938309 | − | 0.288782i | ||||
\(545\) | −2.13101e17 | + | 6.55858e17i | −0.348344 | + | 1.07209i | ||||
\(546\) | −4.04118e17 | + | 2.93609e17i | −0.652764 | + | 0.474261i | ||||
\(547\) | −2.49653e17 | − | 1.81383e17i | −0.398491 | − | 0.289521i | 0.370435 | − | 0.928858i | \(-0.379209\pi\) |
−0.768926 | + | 0.639338i | \(0.779209\pi\) | |||||||
\(548\) | 3.37849e16 | + | 1.03979e17i | 0.0532905 | + | 0.164011i | ||||
\(549\) | 2.11104e17 | 0.329062 | ||||||||
\(550\) | −3.67662e16 | − | 2.22020e17i | −0.0566358 | − | 0.342007i | ||||
\(551\) | −5.54981e17 | −0.844875 | ||||||||
\(552\) | 1.41877e17 | + | 4.36654e17i | 0.213456 | + | 0.656951i | ||||
\(553\) | −4.12622e17 | − | 2.99787e17i | −0.613534 | − | 0.445759i | ||||
\(554\) | −1.79648e17 | + | 1.30522e17i | −0.264002 | + | 0.191809i | ||||
\(555\) | 1.13176e17 | − | 3.48319e17i | 0.164380 | − | 0.505910i | ||||
\(556\) | −1.65790e17 | + | 5.10250e17i | −0.237998 | + | 0.732482i | ||||
\(557\) | 3.16112e17 | − | 2.29669e17i | 0.448521 | − | 0.325870i | −0.340491 | − | 0.940248i | \(-0.610593\pi\) |
0.789012 | + | 0.614378i | \(0.210593\pi\) | |||||||
\(558\) | 7.78207e16 | + | 5.65401e16i | 0.109137 | + | 0.0792929i | ||||
\(559\) | −8.55121e16 | − | 2.63179e17i | −0.118536 | − | 0.364817i | ||||
\(560\) | −1.38429e17 | −0.189672 | ||||||||
\(561\) | 6.83657e17 | − | 1.36540e18i | 0.925933 | − | 1.84927i | ||||
\(562\) | −2.74890e16 | −0.0368021 | ||||||||
\(563\) | −4.40393e17 | − | 1.35539e18i | −0.582822 | − | 1.79374i | −0.607847 | − | 0.794054i | \(-0.707967\pi\) |
0.0250253 | − | 0.999687i | \(-0.492033\pi\) | |||||||
\(564\) | 4.68858e17 | + | 3.40645e17i | 0.613376 | + | 0.445644i | ||||
\(565\) | 7.97979e17 | − | 5.79765e17i | 1.03199 | − | 0.749786i | ||||
\(566\) | 1.90422e17 | − | 5.86057e17i | 0.243450 | − | 0.749261i | ||||
\(567\) | −3.24109e17 | + | 9.97504e17i | −0.409639 | + | 1.26074i | ||||
\(568\) | 2.91841e16 | − | 2.12035e16i | 0.0364655 | − | 0.0264937i | ||||
\(569\) | 4.99795e17 | + | 3.63123e17i | 0.617394 | + | 0.448563i | 0.852010 | − | 0.523525i | \(-0.175383\pi\) |
−0.234616 | + | 0.972088i | \(0.575383\pi\) | |||||||
\(570\) | −1.81456e17 | − | 5.58464e17i | −0.221608 | − | 0.682038i | ||||
\(571\) | 1.57981e18 | 1.90753 | 0.953764 | − | 0.300558i | \(-0.0971727\pi\) | ||||
0.953764 | + | 0.300558i | \(0.0971727\pi\) | |||||||
\(572\) | 3.69337e17 | + | 5.58389e16i | 0.440909 | + | 0.0666595i | ||||
\(573\) | −1.97665e18 | −2.33306 | ||||||||
\(574\) | 2.15035e17 | + | 6.61811e17i | 0.250947 | + | 0.772336i | ||||
\(575\) | 5.57772e17 | + | 4.05245e17i | 0.643600 | + | 0.467602i | ||||
\(576\) | −3.98594e16 | + | 2.89595e16i | −0.0454762 | + | 0.0330404i | ||||
\(577\) | 3.47679e17 | − | 1.07005e18i | 0.392226 | − | 1.20715i | −0.538875 | − | 0.842386i | \(-0.681151\pi\) |
0.931101 | − | 0.364761i | \(-0.118849\pi\) | |||||||
\(578\) | 3.82047e17 | − | 1.17582e18i | 0.426173 | − | 1.31163i | ||||
\(579\) | −2.88094e17 | + | 2.09313e17i | −0.317778 | + | 0.230879i | ||||
\(580\) | −1.89615e17 | − | 1.37764e17i | −0.206820 | − | 0.150263i | ||||
\(581\) | −8.49913e16 | − | 2.61576e17i | −0.0916705 | − | 0.282133i | ||||
\(582\) | 2.92128e17 | 0.311582 | ||||||||
\(583\) | 9.53982e17 | + | 9.40664e17i | 1.00622 | + | 0.992176i | ||||
\(584\) | −1.72723e17 | −0.180163 | ||||||||
\(585\) | −8.57777e16 | − | 2.63996e17i | −0.0884832 | − | 0.272323i | ||||
\(586\) | 1.09812e18 | + | 7.97833e17i | 1.12025 | + | 0.813912i | ||||
\(587\) | 7.99555e17 | − | 5.80910e17i | 0.806679 | − | 0.586086i | −0.106187 | − | 0.994346i | \(-0.533864\pi\) |
0.912866 | + | 0.408260i | \(0.133864\pi\) | |||||||
\(588\) | 2.40914e16 | − | 7.41457e16i | 0.0240386 | − | 0.0739832i | ||||
\(589\) | −1.56729e17 | + | 4.82362e17i | −0.154668 | + | 0.476019i | ||||
\(590\) | 4.36715e17 | − | 3.17292e17i | 0.426246 | − | 0.309686i | ||||
\(591\) | −9.90818e17 | − | 7.19871e17i | −0.956479 | − | 0.694922i | ||||
\(592\) | −5.00688e16 | − | 1.54096e17i | −0.0478053 | − | 0.147129i | ||||
\(593\) | −8.72116e17 | −0.823605 | −0.411802 | − | 0.911273i | \(-0.635101\pi\) | ||||
−0.411802 | + | 0.911273i | \(0.635101\pi\) | |||||||
\(594\) | 4.45299e17 | − | 2.30848e17i | 0.415948 | − | 0.215633i | ||||
\(595\) | −1.41047e18 | −1.30317 | ||||||||
\(596\) | −2.35459e17 | − | 7.24667e17i | −0.215186 | − | 0.662275i | ||||
\(597\) | 1.32590e18 | + | 9.63323e17i | 1.19861 | + | 0.870841i | ||||
\(598\) | −9.25807e17 | + | 6.72639e17i | −0.827872 | + | 0.601484i | ||||
\(599\) | −1.57407e17 | + | 4.84448e17i | −0.139235 | + | 0.428522i | −0.996225 | − | 0.0868120i | \(-0.972332\pi\) |
0.856990 | + | 0.515334i | \(0.172332\pi\) | |||||||
\(600\) | −7.37026e16 | + | 2.26833e17i | −0.0644911 | + | 0.198483i | ||||
\(601\) | 4.66236e17 | − | 3.38740e17i | 0.403573 | − | 0.293213i | −0.367422 | − | 0.930054i | \(-0.619760\pi\) |
0.770995 | + | 0.636842i | \(0.219760\pi\) | |||||||
\(602\) | 3.05345e17 | + | 2.21846e17i | 0.261465 | + | 0.189965i | ||||
\(603\) | −6.36998e16 | − | 1.96048e17i | −0.0539604 | − | 0.166073i | ||||
\(604\) | 5.80956e17 | 0.486859 | ||||||||
\(605\) | 5.15923e17 | + | 6.89510e17i | 0.427735 | + | 0.571651i | ||||
\(606\) | 1.37280e17 | 0.112599 | ||||||||
\(607\) | −2.06425e15 | − | 6.35312e15i | −0.00167508 | − | 0.00515538i | 0.950215 | − | 0.311594i | \(-0.100863\pi\) |
−0.951891 | + | 0.306438i | \(0.900863\pi\) | |||||||
\(608\) | −2.10165e17 | − | 1.52694e17i | −0.168728 | − | 0.122588i | ||||
\(609\) | 9.33223e17 | − | 6.78026e17i | 0.741264 | − | 0.538560i | ||||
\(610\) | −1.45260e17 | + | 4.47065e17i | −0.114157 | + | 0.351340i | ||||
\(611\) | −4.46373e17 | + | 1.37379e18i | −0.347080 | + | 1.06820i | ||||
\(612\) | −4.06132e17 | + | 2.95072e17i | −0.312452 | + | 0.227010i | ||||
\(613\) | 1.01319e18 | + | 7.36128e17i | 0.771257 | + | 0.560351i | 0.902342 | − | 0.431020i | \(-0.141846\pi\) |
−0.131085 | + | 0.991371i | \(0.541846\pi\) | |||||||
\(614\) | −1.64595e17 | − | 5.06570e17i | −0.123971 | − | 0.381544i | ||||
\(615\) | −1.24660e18 | −0.929052 | ||||||||
\(616\) | −4.52304e17 | + | 2.34480e17i | −0.333546 | + | 0.172914i | ||||
\(617\) | −1.75128e18 | −1.27791 | −0.638957 | − | 0.769242i | \(-0.720634\pi\) | ||||
−0.638957 | + | 0.769242i | \(0.720634\pi\) | |||||||
\(618\) | 2.85711e17 | + | 8.79328e17i | 0.206301 | + | 0.634930i | ||||
\(619\) | 2.23325e17 | + | 1.62255e17i | 0.159569 | + | 0.115934i | 0.664704 | − | 0.747106i | \(-0.268557\pi\) |
−0.505135 | + | 0.863040i | \(0.668557\pi\) | |||||||
\(620\) | −1.73286e17 | + | 1.25899e17i | −0.122523 | + | 0.0890180i | ||||
\(621\) | −4.74848e17 | + | 1.46143e18i | −0.332245 | + | 1.02255i | ||||
\(622\) | −5.42312e16 | + | 1.66906e17i | −0.0375501 | + | 0.115567i | ||||
\(623\) | −1.39354e18 | + | 1.01247e18i | −0.954876 | + | 0.693758i | ||||
\(624\) | −3.20274e17 | − | 2.32693e17i | −0.217181 | − | 0.157791i | ||||
\(625\) | −1.24046e17 | − | 3.81775e17i | −0.0832460 | − | 0.256205i | ||||
\(626\) | −1.54082e18 | −1.02334 | ||||||||
\(627\) | −1.53885e18 | − | 1.51737e18i | −1.01148 | − | 0.997361i | ||||
\(628\) | 7.72587e17 | 0.502585 | ||||||||
\(629\) | −5.10157e17 | − | 1.57010e18i | −0.328454 | − | 1.01088i | ||||
\(630\) | 3.06293e17 | + | 2.22535e17i | 0.195175 | + | 0.141803i | ||||
\(631\) | 1.99594e18 | − | 1.45014e18i | 1.25880 | − | 0.914573i | 0.260104 | − | 0.965581i | \(-0.416243\pi\) |
0.998698 | + | 0.0510075i | \(0.0162432\pi\) | |||||||
\(632\) | 1.24908e17 | − | 3.84428e17i | 0.0779704 | − | 0.239968i | ||||
\(633\) | −7.90100e17 | + | 2.43168e18i | −0.488155 | + | 1.50239i | ||||
\(634\) | −1.64169e18 | + | 1.19276e18i | −1.00395 | + | 0.729411i | ||||
\(635\) | 1.64501e18 | + | 1.19517e18i | 0.995725 | + | 0.723436i | ||||
\(636\) | −4.38773e17 | − | 1.35040e18i | −0.262887 | − | 0.809082i | ||||
\(637\) | 1.94317e17 | 0.115241 | ||||||||
\(638\) | −8.52905e17 | − | 1.28948e17i | −0.500687 | − | 0.0756971i | ||||
\(639\) | −9.86602e16 | −0.0573306 | ||||||||
\(640\) | −3.39018e16 | − | 1.04339e17i | −0.0195008 | − | 0.0600173i | ||||
\(641\) | 2.80424e18 | + | 2.03740e18i | 1.59676 | + | 1.16011i | 0.893390 | + | 0.449282i | \(0.148320\pi\) |
0.703365 | + | 0.710829i | \(0.251680\pi\) | |||||||
\(642\) | −2.11329e17 | + | 1.53539e17i | −0.119119 | + | 0.0865450i | ||||
\(643\) | 1.02486e17 | − | 3.15420e17i | 0.0571865 | − | 0.176002i | −0.918383 | − | 0.395692i | \(-0.870505\pi\) |
0.975570 | + | 0.219690i | \(0.0705047\pi\) | |||||||
\(644\) | 4.82317e17 | − | 1.48442e18i | 0.266425 | − | 0.819971i | ||||
\(645\) | −5.47005e17 | + | 3.97422e17i | −0.299125 | + | 0.217327i | ||||
\(646\) | −2.14139e18 | − | 1.55581e18i | −1.15927 | − | 0.842260i | ||||
\(647\) | −3.48729e17 | − | 1.07328e18i | −0.186900 | − | 0.575220i | 0.813075 | − | 0.582158i | \(-0.197792\pi\) |
−0.999976 | + | 0.00693786i | \(0.997792\pi\) | |||||||
\(648\) | −8.31232e17 | −0.441047 | ||||||||
\(649\) | 8.89478e17 | − | 1.77646e18i | 0.467245 | − | 0.933179i | ||||
\(650\) | −5.94474e17 | −0.309169 | ||||||||
\(651\) | −3.25761e17 | − | 1.00259e18i | −0.167735 | − | 0.516234i | ||||
\(652\) | 6.32238e17 | + | 4.59348e17i | 0.322308 | + | 0.234171i | ||||
\(653\) | 2.79032e16 | − | 2.02728e16i | 0.0140837 | − | 0.0102324i | −0.580721 | − | 0.814103i | \(-0.697229\pi\) |
0.594805 | + | 0.803870i | \(0.297229\pi\) | |||||||
\(654\) | 8.31212e17 | − | 2.55821e18i | 0.415390 | − | 1.27844i | ||||
\(655\) | −5.89130e17 | + | 1.81316e18i | −0.291503 | + | 0.897153i | ||||
\(656\) | −4.46169e17 | + | 3.24161e17i | −0.218587 | + | 0.158813i | ||||
\(657\) | 3.82173e17 | + | 2.77665e17i | 0.185389 | + | 0.134693i | ||||
\(658\) | −6.08815e17 | − | 1.87374e18i | −0.292427 | − | 0.899997i | ||||
\(659\) | 3.57478e18 | 1.70018 | 0.850089 | − | 0.526639i | \(-0.176548\pi\) | ||||
0.850089 | + | 0.526639i | \(0.176548\pi\) | |||||||
\(660\) | −1.49108e17 | − | 9.00419e17i | −0.0702206 | − | 0.424042i | ||||
\(661\) | −7.08247e17 | −0.330275 | −0.165137 | − | 0.986271i | \(-0.552807\pi\) | ||||
−0.165137 | + | 0.986271i | \(0.552807\pi\) | |||||||
\(662\) | 4.22732e17 | + | 1.30103e18i | 0.195204 | + | 0.600775i | ||||
\(663\) | −3.26332e18 | − | 2.37094e18i | −1.49218 | − | 1.08413i | ||||
\(664\) | 1.76345e17 | − | 1.28122e17i | 0.0798493 | − | 0.0580139i | ||||
\(665\) | −6.16866e17 | + | 1.89852e18i | −0.276599 | + | 0.851283i | ||||
\(666\) | −1.36937e17 | + | 4.21448e17i | −0.0608047 | + | 0.187138i | ||||
\(667\) | 2.13795e18 | − | 1.55331e18i | 0.940113 | − | 0.683032i | ||||
\(668\) | 1.20176e18 | + | 8.73130e17i | 0.523324 | + | 0.380217i | ||||
\(669\) | 6.02359e17 | + | 1.85387e18i | 0.259768 | + | 0.799484i | ||||
\(670\) | 4.59011e17 | 0.196036 | ||||||||
\(671\) | 2.82643e17 | + | 1.70680e18i | 0.119548 | + | 0.721915i | ||||
\(672\) | 5.39948e17 | 0.226179 | ||||||||
\(673\) | −6.33196e17 | − | 1.94878e18i | −0.262688 | − | 0.808470i | −0.992217 | − | 0.124520i | \(-0.960261\pi\) |
0.729529 | − | 0.683950i | \(-0.239739\pi\) | |||||||
\(674\) | 1.59651e18 | + | 1.15993e18i | 0.655968 | + | 0.476589i | ||||
\(675\) | −6.45802e17 | + | 4.69202e17i | −0.262800 | + | 0.190935i | ||||
\(676\) | −7.84440e16 | + | 2.41426e17i | −0.0316159 | + | 0.0973038i | ||||
\(677\) | −7.72203e17 | + | 2.37660e18i | −0.308251 | + | 0.948700i | 0.670192 | + | 0.742187i | \(0.266212\pi\) |
−0.978444 | + | 0.206513i | \(0.933788\pi\) | |||||||
\(678\) | −3.11256e18 | + | 2.26140e18i | −1.23062 | + | 0.894098i | ||||
\(679\) | −8.03433e17 | − | 5.83728e17i | −0.314627 | − | 0.228590i | ||||
\(680\) | −3.45429e17 | − | 1.06312e18i | −0.133984 | − | 0.412359i | ||||
\(681\) | 5.30796e18 | 2.03925 | ||||||||
\(682\) | −3.52939e17 | + | 7.04888e17i | −0.134308 | + | 0.268239i | ||||
\(683\) | −3.97353e18 | −1.49776 | −0.748879 | − | 0.662707i | \(-0.769407\pi\) | ||||
−0.748879 | + | 0.662707i | \(0.769407\pi\) | |||||||
\(684\) | 2.19552e17 | + | 6.75712e17i | 0.0819734 | + | 0.252288i | ||||
\(685\) | 5.38665e17 | + | 3.91363e17i | 0.199219 | + | 0.144741i | ||||
\(686\) | 1.44493e18 | − | 1.04981e18i | 0.529348 | − | 0.384594i | ||||
\(687\) | −3.74329e17 | + | 1.15207e18i | −0.135842 | + | 0.418079i | ||||
\(688\) | −9.24335e16 | + | 2.84481e17i | −0.0332280 | + | 0.102265i | ||||
\(689\) | 2.86317e18 | − | 2.08022e18i | 1.01958 | − | 0.740770i | ||||
\(690\) | 2.26209e18 | + | 1.64350e18i | 0.797976 | + | 0.579764i | ||||
\(691\) | −6.93455e17 | − | 2.13424e18i | −0.242332 | − | 0.745822i | −0.996064 | − | 0.0886395i | \(-0.971748\pi\) |
0.753732 | − | 0.657182i | \(-0.228252\pi\) | |||||||
\(692\) | 7.12255e17 | 0.246573 | ||||||||
\(693\) | 1.37773e18 | + | 2.08294e17i | 0.472496 | + | 0.0714350i | ||||
\(694\) | 1.18555e18 | 0.402794 | ||||||||
\(695\) | 1.00967e18 | + | 3.10745e18i | 0.339843 | + | 1.04593i | ||||
\(696\) | 7.39605e17 | + | 5.37354e17i | 0.246626 | + | 0.179185i | ||||
\(697\) | −4.54607e18 | + | 3.30291e18i | −1.50184 | + | 1.09115i | ||||
\(698\) | 3.16089e17 | − | 9.72821e17i | 0.103454 | − | 0.318400i | ||||
\(699\) | 1.23108e18 | − | 3.78889e18i | 0.399196 | − | 1.22860i | ||||
\(700\) | 6.55961e17 | − | 4.76584e17i | 0.210737 | − | 0.153109i | ||||
\(701\) | 6.24384e17 | + | 4.53642e17i | 0.198740 | + | 0.144393i | 0.682704 | − | 0.730695i | \(-0.260804\pi\) |
−0.483965 | + | 0.875088i | \(0.660804\pi\) | |||||||
\(702\) | −4.09438e17 | − | 1.26012e18i | −0.129121 | − | 0.397393i | ||||
\(703\) | −2.33651e18 | −0.730058 | ||||||||
\(704\) | −2.87507e17 | − | 2.83493e17i | −0.0890075 | − | 0.0877649i | ||||
\(705\) | 3.52942e18 | 1.08262 | ||||||||
\(706\) | 2.92357e17 | + | 8.99783e17i | 0.0888552 | + | 0.273468i | ||||
\(707\) | −3.77559e17 | − | 2.74312e17i | −0.113699 | − | 0.0826075i | ||||
\(708\) | −1.70343e18 | + | 1.23761e18i | −0.508286 | + | 0.369291i | ||||
\(709\) | 1.28489e18 | − | 3.95448e18i | 0.379896 | − | 1.16920i | −0.560220 | − | 0.828344i | \(-0.689283\pi\) |
0.940116 | − | 0.340856i | \(-0.110717\pi\) | |||||||
\(710\) | 6.78878e16 | − | 2.08937e17i | 0.0198890 | − | 0.0612119i | ||||
\(711\) | −8.94374e17 | + | 6.49801e17i | −0.259637 | + | 0.188637i | ||||
\(712\) | −1.10442e18 | − | 8.02406e17i | −0.317697 | − | 0.230821i | ||||
\(713\) | −7.46297e17 | − | 2.29687e18i | −0.212730 | − | 0.654717i | ||||
\(714\) | 5.50160e18 | 1.55400 | ||||||||
\(715\) | 2.01959e18 | − | 1.04698e18i | 0.565293 | − | 0.293055i | ||||
\(716\) | 2.08949e18 | 0.579570 | ||||||||
\(717\) | −2.07536e18 | − | 6.38731e18i | −0.570452 | − | 1.75567i | ||||
\(718\) | −2.31185e16 | − | 1.67966e16i | −0.00629726 | − | 0.00457523i | ||||
\(719\) | 3.82551e17 | − | 2.77939e17i | 0.103265 | − | 0.0750261i | −0.534955 | − | 0.844881i | \(-0.679671\pi\) |
0.638219 | + | 0.769855i | \(0.279671\pi\) | |||||||
\(720\) | −9.27205e16 | + | 2.85364e17i | −0.0248036 | + | 0.0763376i | ||||
\(721\) | 9.71285e17 | − | 2.98931e18i | 0.257494 | − | 0.792486i | ||||
\(722\) | −8.53314e17 | + | 6.19969e17i | −0.224190 | + | 0.162884i | ||||
\(723\) | −3.71541e17 | − | 2.69941e17i | −0.0967404 | − | 0.0702861i | ||||
\(724\) | 2.19393e17 | + | 6.75223e17i | 0.0566138 | + | 0.174239i | ||||
\(725\) | 1.37281e18 | 0.351086 | ||||||||
\(726\) | −2.01238e18 | − | 2.68947e18i | −0.510062 | − | 0.681677i | ||||
\(727\) | −3.54753e18 | −0.891153 | −0.445577 | − | 0.895244i | \(-0.647001\pi\) | ||||
−0.445577 | + | 0.895244i | \(0.647001\pi\) | |||||||
\(728\) | 4.15879e17 | + | 1.27994e18i | 0.103541 | + | 0.318667i | ||||
\(729\) | −7.76358e17 | − | 5.64057e17i | −0.191573 | − | 0.139186i | ||||
\(730\) | −8.50995e17 | + | 6.18284e17i | −0.208127 | + | 0.151213i | ||||
\(731\) | −9.41816e17 | + | 2.89861e18i | −0.228299 | + | 0.702631i | ||||
\(732\) | 5.66595e17 | − | 1.74380e18i | 0.136129 | − | 0.418962i | ||||
\(733\) | −1.25164e17 | + | 9.09371e16i | −0.0298060 | + | 0.0216553i | −0.602589 | − | 0.798052i | \(-0.705864\pi\) |
0.572782 | + | 0.819707i | \(0.305864\pi\) | |||||||
\(734\) | 7.84322e17 | + | 5.69843e17i | 0.185127 | + | 0.134503i | ||||
\(735\) | −1.46718e17 | − | 4.51551e17i | −0.0343253 | − | 0.105643i | ||||
\(736\) | 1.23699e18 | 0.286853 | ||||||||
\(737\) | 1.49978e18 | − | 7.77502e17i | 0.344737 | − | 0.178716i | ||||
\(738\) | 1.50832e18 | 0.343659 | ||||||||
\(739\) | 1.56606e18 | + | 4.81983e18i | 0.353687 | + | 1.08854i | 0.956767 | + | 0.290856i | \(0.0939401\pi\) |
−0.603080 | + | 0.797681i | \(0.706060\pi\) | |||||||
\(740\) | −7.98293e17 | − | 5.79994e17i | −0.178713 | − | 0.129843i | ||||
\(741\) | −4.61854e18 | + | 3.35556e18i | −1.02491 | + | 0.744642i | ||||
\(742\) | −1.49162e18 | + | 4.59075e18i | −0.328121 | + | 1.00985i | ||||
\(743\) | −9.28268e17 | + | 2.85691e18i | −0.202417 | + | 0.622974i | 0.797393 | + | 0.603460i | \(0.206212\pi\) |
−0.999810 | + | 0.0195138i | \(0.993788\pi\) | |||||||
\(744\) | 6.75909e17 | − | 4.91077e17i | 0.146105 | − | 0.106151i | ||||
\(745\) | −3.75414e18 | − | 2.72754e18i | −0.804442 | − | 0.584461i | ||||
\(746\) | −2.87020e17 | − | 8.83358e17i | −0.0609692 | − | 0.187644i | ||||
\(747\) | −5.96155e17 | −0.125538 | ||||||||
\(748\) | −2.92945e18 | − | 2.88855e18i | −0.611540 | − | 0.603003i | ||||
\(749\) | 8.88015e17 | 0.183776 | ||||||||
\(750\) | 1.36440e18 | + | 4.19918e18i | 0.279925 | + | 0.861522i | ||||
\(751\) | −4.82000e18 | − | 3.50194e18i | −0.980364 | − | 0.712276i | −0.0225743 | − | 0.999745i | \(-0.507186\pi\) |
−0.957790 | + | 0.287469i | \(0.907186\pi\) | |||||||
\(752\) | 1.26321e18 | − | 9.17774e17i | 0.254717 | − | 0.185063i | ||||
\(753\) | 6.35896e17 | − | 1.95709e18i | 0.127121 | − | 0.391239i | ||||
\(754\) | −7.04136e17 | + | 2.16711e18i | −0.139554 | + | 0.429503i | ||||
\(755\) | 2.86234e18 | − | 2.07961e18i | 0.562426 | − | 0.408627i | ||||
\(756\) | 1.46201e18 | + | 1.06221e18i | 0.284812 | + | 0.206928i | ||||
\(757\) | 2.38499e18 | + | 7.34025e18i | 0.460642 | + | 1.41771i | 0.864381 | + | 0.502837i | \(0.167711\pi\) |
−0.403739 | + | 0.914874i | \(0.632289\pi\) | |||||||
\(758\) | −1.30621e18 | −0.250128 | ||||||||
\(759\) | 1.01750e19 | + | 1.53833e18i | 1.93181 | + | 0.292064i | ||||
\(760\) | −1.58206e18 | −0.297807 | ||||||||
\(761\) | −5.28921e17 | − | 1.62785e18i | −0.0987166 | − | 0.303819i | 0.889488 | − | 0.456959i | \(-0.151061\pi\) |
−0.988204 | + | 0.153140i | \(0.951061\pi\) | |||||||
\(762\) | −6.41644e18 | − | 4.66182e18i | −1.18737 | − | 0.862677i | ||||
\(763\) | −7.39787e18 | + | 5.37486e18i | −1.35737 | + | 0.986184i | ||||
\(764\) | −1.64568e18 | + | 5.06489e18i | −0.299392 | + | 0.921432i | ||||
\(765\) | −9.44740e17 | + | 2.90761e18i | −0.170417 | + | 0.524490i | ||||
\(766\) | −4.02268e18 | + | 2.92265e18i | −0.719497 | + | 0.522745i | ||||
\(767\) | −4.24577e18 | − | 3.08473e18i | −0.752985 | − | 0.547076i | ||||
\(768\) | 1.32236e17 | + | 4.06979e17i | 0.0232542 | + | 0.0715689i | ||||
\(769\) | −6.17110e18 | −1.07607 | −0.538036 | − | 0.842922i | \(-0.680834\pi\) | ||||
−0.538036 | + | 0.842922i | \(0.680834\pi\) | |||||||
\(770\) | −1.38913e18 | + | 2.77435e18i | −0.240188 | + | 0.479702i | ||||
\(771\) | −1.22394e19 | −2.09848 | ||||||||
\(772\) | 2.96478e17 | + | 9.12466e17i | 0.0504058 | + | 0.155133i | ||||
\(773\) | −4.21810e18 | − | 3.06463e18i | −0.711133 | − | 0.516668i | 0.172406 | − | 0.985026i | \(-0.444846\pi\) |
−0.883539 | + | 0.468358i | \(0.844846\pi\) | |||||||
\(774\) | 6.61847e17 | − | 4.80860e17i | 0.110647 | − | 0.0803901i | ||||
\(775\) | 3.87687e17 | − | 1.19318e18i | 0.0642718 | − | 0.197808i | ||||
\(776\) | 2.43214e17 | − | 7.48536e17i | 0.0399841 | − | 0.123058i | ||||
\(777\) | 3.92893e18 | − | 2.85454e18i | 0.640528 | − | 0.465370i | ||||
\(778\) | 4.28270e18 | + | 3.11157e18i | 0.692390 | + | 0.503051i | ||||
\(779\) | 2.45757e18 | + | 7.56363e18i | 0.394015 | + | 1.21265i | ||||
\(780\) | −2.41093e18 | −0.383328 | ||||||||
\(781\) | −1.32094e17 | − | 7.97676e17i | −0.0208282 | − | 0.125775i | ||||
\(782\) | 1.26038e19 | 1.97087 | ||||||||
\(783\) | 9.45508e17 | + | 2.90997e18i | 0.146627 | + | 0.451271i | ||||
\(784\) | −1.69930e17 | − | 1.23462e17i | −0.0261346 | − | 0.0189879i | ||||
\(785\) | 3.80650e18 | − | 2.76558e18i | 0.580594 | − | 0.421826i | ||||
\(786\) | 2.29793e18 | − | 7.07231e18i | 0.347609 | − | 1.06983i | ||||
\(787\) | −1.24625e18 | + | 3.83558e18i | −0.186970 | + | 0.575433i | −0.999977 | − | 0.00682046i | \(-0.997829\pi\) |
0.813007 | + | 0.582254i | \(0.197829\pi\) | |||||||
\(788\) | −2.66949e18 | + | 1.93949e18i | −0.397198 | + | 0.288581i | ||||
\(789\) | 6.28413e18 | + | 4.56569e18i | 0.927352 | + | 0.673761i | ||||
\(790\) | −7.60696e17 | − | 2.34118e18i | −0.111336 | − | 0.342657i | ||||
\(791\) | 1.30791e19 | 1.89859 | ||||||||
\(792\) | 1.80413e17 | + | 1.08946e18i | 0.0259749 | + | 0.156855i | ||||
\(793\) | 4.57007e18 | 0.652600 | ||||||||
\(794\) | −4.95928e17 | − | 1.52631e18i | −0.0702402 | − | 0.216177i | ||||
\(795\) | −6.99577e18 | − | 5.08272e18i | −0.982764 | − | 0.714020i | ||||
\(796\) | 3.57227e18 | − | 2.59541e18i | 0.497748 | − | 0.361635i | ||||
\(797\) | −4.40852e18 | + | 1.35680e19i | −0.609275 | + | 1.87516i | −0.145088 | + | 0.989419i | \(0.546347\pi\) |
−0.464187 | + | 0.885737i | \(0.653653\pi\) | |||||||
\(798\) | 2.40612e18 | − | 7.40527e18i | 0.329836 | − | 1.01513i | ||||
\(799\) | 1.28710e19 | − | 9.35131e18i | 1.75008 | − | 1.27151i | ||||
\(800\) | 5.19867e17 | + | 3.77705e17i | 0.0701144 | + | 0.0509411i | ||||
\(801\) | 1.15375e18 | + | 3.55087e18i | 0.154348 | + | 0.475033i | ||||
\(802\) | −5.43794e18 | −0.721608 | ||||||||
\(803\) | −1.73326e18 | + | 3.46166e18i | −0.228146 | + | 0.455652i | ||||
\(804\) | −1.79039e18 | −0.233768 | ||||||||
\(805\) | −2.93733e18 | − | 9.04018e18i | −0.380435 | − | 1.17086i | ||||
\(806\) | 1.68469e18 | + | 1.22400e18i | 0.216443 | + | 0.157255i | ||||
\(807\) | 4.67112e18 | − | 3.39377e18i | 0.595310 | − | 0.432518i | ||||
\(808\) | 1.14294e17 | − | 3.51761e17i | 0.0144494 | − | 0.0444706i | ||||
\(809\) | 3.69972e18 | − | 1.13866e19i | 0.463985 | − | 1.42800i | −0.396270 | − | 0.918134i | \(-0.629696\pi\) |
0.860255 | − | 0.509864i | \(-0.170304\pi\) | |||||||
\(810\) | −4.09544e18 | + | 2.97551e18i | −0.509504 | + | 0.370177i | ||||
\(811\) | −5.76320e18 | − | 4.18721e18i | −0.711259 | − | 0.516760i | 0.172320 | − | 0.985041i | \(-0.444874\pi\) |
−0.883580 | + | 0.468281i | \(0.844874\pi\) | |||||||
\(812\) | −9.60382e17 | − | 2.95575e18i | −0.117579 | − | 0.361871i | ||||
\(813\) | −1.27946e19 | −1.55396 | ||||||||
\(814\) | −3.59079e18 | − | 5.42879e17i | −0.432644 | − | 0.0654100i | ||||
\(815\) | 4.75931e18 | 0.568878 | ||||||||
\(816\) | 1.34736e18 | + | 4.14676e18i | 0.159771 | + | 0.491726i | ||||
\(817\) | 3.48969e18 | + | 2.53541e18i | 0.410529 | + | 0.298267i | ||||
\(818\) | 4.85300e18 | − | 3.52591e18i | 0.566387 | − | 0.411504i | ||||
\(819\) | 1.13742e18 | − | 3.50061e18i | 0.131697 | − | 0.405320i | ||||
\(820\) | −1.03787e18 | + | 3.19424e18i | −0.119221 | + | 0.366926i | ||||
\(821\) | −1.07599e19 | + | 7.81752e18i | −1.22625 | + | 0.890920i | −0.996603 | − | 0.0823551i | \(-0.973756\pi\) |
−0.229643 | + | 0.973275i | \(0.573756\pi\) | |||||||
\(822\) | −2.10109e18 | − | 1.52653e18i | −0.237562 | − | 0.172599i | ||||
\(823\) | −2.78458e18 | − | 8.57006e18i | −0.312364 | − | 0.961358i | −0.976826 | − | 0.214036i | \(-0.931339\pi\) |
0.664462 | − | 0.747322i | \(-0.268661\pi\) | |||||||
\(824\) | 2.49103e18 | 0.277237 | ||||||||
\(825\) | 3.80653e18 | + | 3.75339e18i | 0.420319 | + | 0.414451i | ||||
\(826\) | 7.15791e18 | 0.784180 | ||||||||
\(827\) | 5.32627e17 | + | 1.63926e18i | 0.0578946 | + | 0.178181i | 0.975822 | − | 0.218568i | \(-0.0701384\pi\) |
−0.917927 | + | 0.396749i | \(0.870138\pi\) | |||||||
\(828\) | −2.73700e18 | − | 1.98855e18i | −0.295174 | − | 0.214456i | ||||
\(829\) | 3.07154e18 | − | 2.23161e18i | 0.328664 | − | 0.238788i | −0.411200 | − | 0.911545i | \(-0.634890\pi\) |
0.739863 | + | 0.672757i | \(0.234890\pi\) | |||||||
\(830\) | 4.10212e17 | − | 1.26250e18i | 0.0435513 | − | 0.134037i | ||||
\(831\) | 1.63002e18 | − | 5.01668e18i | 0.171706 | − | 0.528457i | ||||
\(832\) | −8.62891e17 | + | 6.26927e17i | −0.0901891 | + | 0.0655263i | ||||
\(833\) | −1.73144e18 | − | 1.25797e18i | −0.179562 | − | 0.130460i | ||||
\(834\) | −3.93827e18 | − | 1.21208e19i | −0.405253 | − | 1.24724i | ||||
\(835\) | 9.04650e18 | 0.923673 | ||||||||
\(836\) | −5.16924e18 | + | 2.67979e18i | −0.523704 | + | 0.271494i | ||||
\(837\) | 2.79622e18 | 0.281097 | ||||||||
\(838\) | −3.09815e18 | − | 9.53514e18i | −0.309042 | − | 0.951132i | ||||
\(839\) | 1.39010e19 | + | 1.00997e19i | 1.37592 | + | 0.999664i | 0.997248 | + | 0.0741320i | \(0.0236186\pi\) |
0.378670 | + | 0.925532i | \(0.376381\pi\) | |||||||
\(840\) | 2.66030e18 | − | 1.93282e18i | 0.261285 | − | 0.189835i | ||||
\(841\) | −1.54466e18 | + | 4.75397e18i | −0.150542 | + | 0.463322i | ||||
\(842\) | 3.93459e17 | − | 1.21094e18i | 0.0380514 | − | 0.117110i | ||||
\(843\) | 5.28279e17 | − | 3.83817e17i | 0.0506972 | − | 0.0368337i | ||||
\(844\) | 5.57302e18 | + | 4.04904e18i | 0.530719 | + | 0.385590i | ||||
\(845\) | 4.77727e17 | + | 1.47029e18i | 0.0451452 | + | 0.138943i | ||||
\(846\) | −4.27042e18 | −0.400463 | ||||||||
\(847\) | 1.60533e17 | + | 1.14179e19i | 0.0149391 | + | 1.06254i | ||||
\(848\) | −3.82553e18 | −0.353279 | ||||||||
\(849\) | 4.52337e18 | + | 1.39215e19i | 0.414536 | + | 1.27581i | ||||
\(850\) | 5.29699e18 | + | 3.84849e18i | 0.481732 | + | 0.349999i | ||||
\(851\) | 9.00092e18 | − | 6.53955e18i | 0.812353 | − | 0.590209i | ||||
\(852\) | −2.64800e17 | + | 8.14969e17i | −0.0237170 | + | 0.0729935i | ||||
\(853\) | −5.99591e17 | + | 1.84535e18i | −0.0532950 | + | 0.164025i | −0.974161 | − | 0.225853i | \(-0.927483\pi\) |
0.920866 | + | 0.389878i | \(0.127483\pi\) | |||||||
\(854\) | −5.04275e18 | + | 3.66378e18i | −0.444828 | + | 0.323186i | ||||
\(855\) | 3.50053e18 | + | 2.54328e18i | 0.306446 | + | 0.222646i | ||||
\(856\) | 2.17479e17 | + | 6.69331e17i | 0.0188946 | + | 0.0581515i | ||||
\(857\) | 1.33759e18 | 0.115331 | 0.0576657 | − | 0.998336i | \(-0.481634\pi\) | ||||
0.0576657 | + | 0.998336i | \(0.481634\pi\) | |||||||
\(858\) | −7.87751e18 | + | 4.08379e18i | −0.674096 | + | 0.349459i | ||||
\(859\) | 2.10304e19 | 1.78604 | 0.893021 | − | 0.450016i | \(-0.148582\pi\) | ||||
0.893021 | + | 0.450016i | \(0.148582\pi\) | |||||||
\(860\) | 5.62924e17 | + | 1.73250e18i | 0.0474471 | + | 0.146027i | ||||
\(861\) | −1.33731e19 | − | 9.71611e18i | −1.11869 | − | 0.812778i | ||||
\(862\) | −2.39881e18 | + | 1.74284e18i | −0.199159 | + | 0.144697i | ||||
\(863\) | 5.03959e18 | − | 1.55103e19i | 0.415265 | − | 1.27805i | −0.496749 | − | 0.867894i | \(-0.665473\pi\) |
0.912014 | − | 0.410160i | \(-0.134527\pi\) | |||||||
\(864\) | −4.42578e17 | + | 1.36211e18i | −0.0361951 | + | 0.111397i | ||||
\(865\) | 3.50924e18 | − | 2.54961e18i | 0.284845 | − | 0.206952i | ||||
\(866\) | −1.16133e19 | − | 8.43752e18i | −0.935594 | − | 0.679749i | ||||
\(867\) | 9.07534e18 | + | 2.79310e19i | 0.725670 | + | 2.23338i | ||||
\(868\) | −2.84021e18 | −0.225410 | ||||||||
\(869\) | −6.45115e18 | − | 6.36109e18i | −0.508170 | − | 0.501075i | ||||
\(870\) | 5.56753e18 | 0.435299 | ||||||||
\(871\) | −1.37900e18 | − | 4.24412e18i | −0.107015 | − | 0.329359i | ||||
\(872\) | −5.86301e18 | − | 4.25972e18i | −0.451610 | − | 0.328114i | ||||
\(873\) | −1.74147e18 | + | 1.26525e18i | −0.133145 | + | 0.0967354i | ||||
\(874\) | 5.51225e18 | − | 1.69650e19i | 0.418316 | − | 1.28745i | ||||
\(875\) | 4.63831e18 | − | 1.42753e19i | 0.349388 | − | 1.07531i | ||||
\(876\) | 3.31935e18 | − | 2.41165e18i | 0.248185 | − | 0.180317i | ||||
\(877\) | −1.15255e19 | − | 8.37376e18i | −0.855386 | − | 0.621474i | 0.0712401 | − | 0.997459i | \(-0.477304\pi\) |
−0.926626 | + | 0.375985i | \(0.877304\pi\) | |||||||
\(878\) | 4.36671e18 | + | 1.34394e19i | 0.321692 | + | 0.990066i | ||||
\(879\) | −3.22433e19 | −2.35783 | ||||||||
\(880\) | −2.43134e18 | − | 3.67586e17i | −0.176485 | − | 0.0266822i | ||||
\(881\) | −2.54134e19 | −1.83113 | −0.915565 | − | 0.402170i | \(-0.868256\pi\) | ||||
−0.915565 | + | 0.402170i | \(0.868256\pi\) | |||||||
\(882\) | 1.77521e17 | + | 5.46352e17i | 0.0126971 | + | 0.0390775i | ||||
\(883\) | 1.39876e19 | + | 1.01626e19i | 0.993114 | + | 0.721540i | 0.960601 | − | 0.277932i | \(-0.0896488\pi\) |
0.0325134 | + | 0.999471i | \(0.489649\pi\) | |||||||
\(884\) | −8.79210e18 | + | 6.38784e18i | −0.619659 | + | 0.450209i | ||||
\(885\) | −3.96250e18 | + | 1.21953e19i | −0.277229 | + | 0.853222i | ||||
\(886\) | −1.58041e18 | + | 4.86400e18i | −0.109762 | + | 0.337811i | ||||
\(887\) | 8.96368e18 | − | 6.51250e18i | 0.617992 | − | 0.448997i | −0.234228 | − | 0.972182i | \(-0.575256\pi\) |
0.852220 | + | 0.523184i | \(0.175256\pi\) | |||||||
\(888\) | 3.11378e18 | + | 2.26230e18i | 0.213110 | + | 0.154834i | ||||
\(889\) | 8.33180e18 | + | 2.56426e19i | 0.566079 | + | 1.74221i | ||||
\(890\) | −8.31373e18 | −0.560739 | ||||||||
\(891\) | −8.34137e18 | + | 1.66593e19i | −0.558512 | + | 1.11546i | ||||
\(892\) | 5.25178e18 | 0.349088 | ||||||||
\(893\) | −6.95796e18 | − | 2.14144e19i | −0.459142 | − | 1.41309i | ||||
\(894\) | 1.46432e19 | + | 1.06389e19i | 0.959274 | + | 0.696953i | ||||
\(895\) | 1.02948e19 | − | 7.47962e18i | 0.669528 | − | 0.486441i | ||||
\(896\) | 4.49540e17 | − | 1.38354e18i | 0.0290246 | − | 0.0893285i | ||||
\(897\) | 8.40024e18 | − | 2.58533e19i | 0.538444 | − | 1.65716i | ||||
\(898\) | 4.90837e18 | − | 3.56614e18i | 0.312350 | − | 0.226935i | ||||
\(899\) | −3.89043e18 | − | 2.82657e18i | −0.245788 | − | 0.178575i | ||||
\(900\) | −5.43087e17 | − | 1.67145e18i | −0.0340638 | − | 0.104838i | ||||
\(901\) | −3.89788e19 | −2.42726 | ||||||||
\(902\) | 2.01946e18 | + | 1.21949e19i | 0.124851 | + | 0.753940i | ||||
\(903\) | −8.96560e18 | −0.550312 | ||||||||
\(904\) | 3.20314e18 | + | 9.85824e18i | 0.195200 | + | 0.600765i | ||||
\(905\) | 3.49799e18 | + | 2.54144e18i | 0.211643 | + | 0.153767i | ||||
\(906\) | −1.11647e19 | + | 8.11162e18i | −0.670677 | + | 0.487275i | ||||
\(907\) | −3.34469e18 | + | 1.02939e19i | −0.199484 | + | 0.613950i | 0.800410 | + | 0.599452i | \(0.204615\pi\) |
−0.999895 | + | 0.0144977i | \(0.995385\pi\) | |||||||
\(908\) | 4.41920e18 | − | 1.36009e19i | 0.261689 | − | 0.805396i | ||||
\(909\) | −8.18373e17 | + | 5.94583e17i | −0.0481156 | + | 0.0349581i | ||||
\(910\) | 6.63075e18 | + | 4.81752e18i | 0.387073 | + | 0.281225i | ||||
\(911\) | 4.59694e18 | + | 1.41479e19i | 0.266440 | + | 0.820019i | 0.991358 | + | 0.131183i | \(0.0418777\pi\) |
−0.724918 | + | 0.688835i | \(0.758122\pi\) | |||||||
\(912\) | 6.17090e18 | 0.355126 | ||||||||
\(913\) | −7.98178e17 | − | 4.81997e18i | −0.0456079 | − | 0.275413i | ||||
\(914\) | 9.15797e18 | 0.519576 | ||||||||
\(915\) | −3.45059e18 | − | 1.06198e19i | −0.194382 | − | 0.598247i | ||||
\(916\) | 2.64035e18 | + | 1.91833e18i | 0.147687 | + | 0.107301i | ||||
\(917\) | −2.04518e19 | + | 1.48591e19i | −1.13588 | + | 0.825263i | ||||
\(918\) | −4.50948e18 | + | 1.38787e19i | −0.248685 | + | 0.765372i | ||||
\(919\) | −5.64992e18 | + | 1.73887e19i | −0.309379 | + | 0.952172i | 0.668627 | + | 0.743598i | \(0.266882\pi\) |
−0.978007 | + | 0.208574i | \(0.933118\pi\) | |||||||
\(920\) | 6.09456e18 | − | 4.42796e18i | 0.331377 | − | 0.240759i | ||||
\(921\) | 1.02362e19 | + | 7.43701e18i | 0.552649 | + | 0.401523i | ||||
\(922\) | −5.37286e18 | − | 1.65360e19i | −0.288041 | − | 0.886500i | ||||
\(923\) | −2.13583e18 | −0.113699 | ||||||||
\(924\) | 5.41835e18 | − | 1.08215e19i | 0.286417 | − | 0.572031i | ||||
\(925\) | 5.77962e18 | 0.303374 | ||||||||
\(926\) | 3.90920e18 | + | 1.20313e19i | 0.203759 | + | 0.627105i | ||||
\(927\) | −5.51174e18 | − | 4.00452e18i | −0.285280 | − | 0.207268i | ||||
\(928\) | 1.99266e18 | − | 1.44775e18i | 0.102417 | − | 0.0744102i | ||||
\(929\) | −8.46427e17 | + | 2.60504e18i | −0.0432004 | + | 0.132957i | −0.970330 | − | 0.241783i | \(-0.922268\pi\) |
0.927130 | + | 0.374740i | \(0.122268\pi\) | |||||||
\(930\) | 1.57229e18 | − | 4.83902e18i | 0.0796883 | − | 0.245255i | ||||
\(931\) | −2.45049e18 | + | 1.78039e18i | −0.123333 | + | 0.0896069i | ||||
\(932\) | −8.68354e18 | − | 6.30896e18i | −0.434004 | − | 0.315322i | ||||
\(933\) | −1.28824e18 | − | 3.96478e18i | −0.0639388 | − | 0.196784i | ||||
\(934\) | 7.85469e18 | 0.387145 | ||||||||
\(935\) | −2.47732e19 | − | 3.74537e18i | −1.21257 | − | 0.183324i | ||||
\(936\) | 2.91710e18 | 0.141794 | ||||||||
\(937\) | −1.01336e19 | − | 3.11880e19i | −0.489165 | − | 1.50550i | −0.825856 | − | 0.563881i | \(-0.809308\pi\) |
0.336691 | − | 0.941615i | \(-0.390692\pi\) | |||||||
\(938\) | 4.92409e18 | + | 3.57756e18i | 0.236052 | + | 0.171502i | ||||
\(939\) | 2.96111e19 | − | 2.15138e19i | 1.40971 | − | 1.02421i | ||||
\(940\) | 2.93846e18 | − | 9.04365e18i | 0.138928 | − | 0.427575i | ||||
\(941\) | −3.02972e18 | + | 9.32453e18i | −0.142256 | + | 0.437819i | −0.996648 | − | 0.0818103i | \(-0.973930\pi\) |
0.854392 | + | 0.519629i | \(0.173930\pi\) | |||||||
\(942\) | −1.48474e19 | + | 1.07873e19i | −0.692342 | + | 0.503016i | ||||
\(943\) | −3.06368e19 | − | 2.22590e19i | −1.41879 | − | 1.03081i | ||||
\(944\) | 1.75300e18 | + | 5.39519e18i | 0.0806240 | + | 0.248135i | ||||
\(945\) | 1.10056e19 | 0.502697 | ||||||||
\(946\) | 4.77393e18 | + | 4.70728e18i | 0.216563 | + | 0.213539i | ||||
\(947\) | −2.08413e19 | −0.938966 | −0.469483 | − | 0.882941i | \(-0.655560\pi\) | ||||
−0.469483 | + | 0.882941i | \(0.655560\pi\) | |||||||
\(948\) | 2.96713e18 | + | 9.13190e18i | 0.132765 | + | 0.408608i | ||||
\(949\) | 8.27342e18 | + | 6.01099e18i | 0.367667 | + | 0.267126i | ||||
\(950\) | 7.49677e18 | − | 5.44672e18i | 0.330880 | − | 0.240399i | ||||
\(951\) | 1.48957e19 | − | 4.58444e19i | 0.652963 | − | 2.00961i | ||||
\(952\) | 4.58042e18 | − | 1.40971e19i | 0.199418 | − | 0.613746i | ||||
\(953\) | 2.33815e19 | − | 1.69876e19i | 1.01104 | − | 0.734562i | 0.0466117 | − | 0.998913i | \(-0.485158\pi\) |
0.964427 | + | 0.264351i | \(0.0851576\pi\) | |||||||
\(954\) | 8.46451e18 | + | 6.14983e18i | 0.363528 | + | 0.264118i | ||||
\(955\) | 1.00223e19 | + | 3.08454e19i | 0.427509 | + | 1.31574i | ||||
\(956\) | −1.80944e19 | −0.766600 | ||||||||
\(957\) | 1.81914e19 | − | 9.43064e18i | 0.765489 | − | 0.396838i | ||||
\(958\) | 5.22003e17 | 0.0218171 | ||||||||
\(959\) | 2.72828e18 | + | 8.39678e18i | 0.113258 | + | 0.348572i | ||||
\(960\) | 2.10836e18 | + | 1.53181e18i | 0.0869323 | + | 0.0631600i | ||||
\(961\) | 1.61988e19 | − | 1.17691e19i | 0.663409 | − | 0.481995i | ||||
\(962\) | −2.96446e18 | + | 9.12366e18i | −0.120589 | + | 0.371134i | ||||
\(963\) | 5.94799e17 | − | 1.83060e18i | 0.0240325 | − | 0.0739644i | ||||
\(964\) | −1.00102e18 | + | 7.27280e17i | −0.0401735 | + | 0.0291878i | ||||
\(965\) | 4.72703e18 | + | 3.43439e18i | 0.188435 | + | 0.136906i | ||||
\(966\) | 1.14572e19 | + | 3.52617e19i | 0.453657 | + | 1.39621i | ||||
\(967\) | 4.55874e19 | 1.79297 | 0.896484 | − | 0.443076i | \(-0.146113\pi\) | ||||
0.896484 | + | 0.443076i | \(0.146113\pi\) | |||||||
\(968\) | −8.56682e18 | + | 2.91730e18i | −0.334680 | + | 0.113970i | ||||
\(969\) | 6.28760e19 | 2.43995 | ||||||||
\(970\) | −1.48118e18 | − | 4.55861e18i | −0.0570943 | − | 0.175718i | ||||
\(971\) | −3.53661e19 | − | 2.56950e19i | −1.35414 | − | 0.983838i | −0.998794 | − | 0.0491014i | \(-0.984364\pi\) |
−0.355343 | − | 0.934736i | \(-0.615636\pi\) | |||||||
\(972\) | 8.92752e18 | − | 6.48622e18i | 0.339547 | − | 0.246695i | ||||
\(973\) | −1.33883e19 | + | 4.12049e19i | −0.505815 | + | 1.55674i | ||||
\(974\) | 2.86100e18 | − | 8.80524e18i | 0.107370 | − | 0.330452i | ||||
\(975\) | 1.14245e19 | − | 8.30038e18i | 0.425899 | − | 0.309434i | ||||
\(976\) | −3.99652e18 | − | 2.90364e18i | −0.147999 | − | 0.107527i | ||||
\(977\) | −1.09114e19 | − | 3.35817e19i | −0.401388 | − | 1.23535i | −0.923874 | − | 0.382697i | \(-0.874995\pi\) |
0.522486 | − | 0.852648i | \(-0.325005\pi\) | |||||||
\(978\) | −1.85639e19 | −0.678370 | ||||||||
\(979\) | −2.71644e19 | + | 1.40823e19i | −0.986081 | + | 0.511196i | ||||
\(980\) | −1.27919e18 | −0.0461280 | ||||||||
\(981\) | 6.12489e18 | + | 1.88505e19i | 0.219407 | + | 0.675264i | ||||
\(982\) | −1.12575e19 | − | 8.17905e18i | −0.400606 | − | 0.291057i | ||||
\(983\) | −1.18247e19 | + | 8.59111e18i | −0.418014 | + | 0.303705i | −0.776838 | − | 0.629700i | \(-0.783178\pi\) |
0.358824 | + | 0.933405i | \(0.383178\pi\) | |||||||
\(984\) | 4.04828e18 | − | 1.24593e19i | 0.142168 | − | 0.437548i | ||||
\(985\) | −6.20973e18 | + | 1.91116e19i | −0.216639 | + | 0.666747i | ||||
\(986\) | 2.03035e19 | − | 1.47513e19i | 0.703672 | − | 0.511247i | ||||
\(987\) | 3.78623e19 | + | 2.75086e19i | 1.30360 | + | 0.947123i | ||||
\(988\) | 4.75295e18 | + | 1.46281e19i | 0.162571 | + | 0.500342i | ||||
\(989\) | −2.05396e19 | −0.697936 | ||||||||
\(990\) | 4.78875e18 | + | 4.72190e18i | 0.161657 | + | 0.159400i | ||||
\(991\) | 9.80576e18 | 0.328853 | 0.164427 | − | 0.986389i | \(-0.447423\pi\) | ||||
0.164427 | + | 0.986389i | \(0.447423\pi\) | |||||||
\(992\) | −6.95580e17 | − | 2.14077e18i | −0.0231751 | − | 0.0713255i | ||||
\(993\) | −2.62898e19 | − | 1.91006e19i | −0.870195 | − | 0.632233i | ||||
\(994\) | 2.35674e18 | − | 1.71227e18i | 0.0774998 | − | 0.0563069i | ||||
\(995\) | 8.30979e18 | − | 2.55749e19i | 0.271481 | − | 0.835533i | ||||
\(996\) | −1.60005e18 | + | 4.92446e18i | −0.0519337 | + | 0.159835i | ||||
\(997\) | 1.30637e19 | − | 9.49135e18i | 0.421258 | − | 0.306062i | −0.356886 | − | 0.934148i | \(-0.616161\pi\) |
0.778144 | + | 0.628086i | \(0.216161\pi\) | |||||||
\(998\) | −2.32278e19 | − | 1.68760e19i | −0.744150 | − | 0.540657i | ||||
\(999\) | 3.98065e18 | + | 1.22512e19i | 0.126701 | + | 0.389944i |
(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 | 22.14.c.b.5.2 | ✓ | 28 | |
11.9 | even | 5 | inner | 22.14.c.b.9.2 | yes | 28 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.14.c.b.5.2 | ✓ | 28 | 1.1 | even | 1 | trivial | |
22.14.c.b.9.2 | yes | 28 | 11.9 | even | 5 | inner |