Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [11,13,Mod(2,11)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(11, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("11.2");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 11 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 11.d (of order \(10\), 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: | \(10.0539319900\) |
Analytic rank: | \(0\) |
Dimension: | \(44\) |
Relative dimension: | \(11\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 2.8 | ||
Character | \(\chi\) | \(=\) | 11.2 |
Dual form | 11.13.d.a.6.8 |
$q$-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 \(\left(\mathbb{Z}/11\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 59.3643 | + | 19.2886i | 0.927568 | + | 0.301385i | 0.733568 | − | 0.679616i | \(-0.237854\pi\) |
0.194000 | + | 0.981002i | \(0.437854\pi\) | |||||||
\(3\) | −999.365 | + | 726.081i | −1.37087 | + | 0.995996i | −0.373202 | + | 0.927750i | \(0.621740\pi\) |
−0.997669 | + | 0.0682458i | \(0.978260\pi\) | |||||||
\(4\) | −161.661 | − | 117.454i | −0.0394681 | − | 0.0286752i | ||||
\(5\) | 875.230 | + | 2693.68i | 0.0560147 | + | 0.172396i | 0.975150 | − | 0.221547i | \(-0.0711108\pi\) |
−0.919135 | + | 0.393943i | \(0.871111\pi\) | |||||||
\(6\) | −73331.7 | + | 23826.9i | −1.57175 | + | 0.510694i | ||||
\(7\) | 110980. | − | 152751.i | 0.943318 | − | 1.29837i | −0.0111149 | − | 0.999938i | \(-0.503538\pi\) |
0.954432 | − | 0.298427i | \(-0.0964620\pi\) | |||||||
\(8\) | −157610. | − | 216932.i | −0.601235 | − | 0.827530i | ||||
\(9\) | 307312. | − | 945809.i | 0.578262 | − | 1.77971i | ||||
\(10\) | 176791.i | 0.176791i | ||||||||
\(11\) | −726651. | + | 1.61568e6i | −0.410176 | + | 0.912007i | ||||
\(12\) | 246839. | 0.0826660 | ||||||||
\(13\) | −4.23740e6 | − | 1.37681e6i | −0.877888 | − | 0.285243i | −0.164808 | − | 0.986326i | \(-0.552700\pi\) |
−0.713080 | + | 0.701082i | \(0.752700\pi\) | |||||||
\(14\) | 9.53464e6 | − | 6.92732e6i | 1.26630 | − | 0.920020i | ||||
\(15\) | −2.83050e6 | − | 2.05648e6i | −0.248494 | − | 0.180542i | ||||
\(16\) | −4.91918e6 | − | 1.51397e7i | −0.293206 | − | 0.902396i | ||||
\(17\) | −1.01467e7 | + | 3.29686e6i | −0.420369 | + | 0.136586i | −0.511561 | − | 0.859247i | \(-0.670932\pi\) |
0.0911916 | + | 0.995833i | \(0.470932\pi\) | |||||||
\(18\) | 3.64867e7 | − | 5.02197e7i | 1.07275 | − | 1.47652i | ||||
\(19\) | −4.40950e7 | − | 6.06916e7i | −0.937277 | − | 1.29005i | −0.956953 | − | 0.290245i | \(-0.906263\pi\) |
0.0196756 | − | 0.999806i | \(-0.493737\pi\) | |||||||
\(20\) | 174892. | − | 538262.i | 0.00273269 | − | 0.00841035i | ||||
\(21\) | 2.33235e8i | 2.71943i | ||||||||
\(22\) | −7.43013e7 | + | 8.18974e7i | −0.655331 | + | 0.722327i | ||||
\(23\) | −6.86801e7 | −0.463942 | −0.231971 | − | 0.972723i | \(-0.574517\pi\) | ||||
−0.231971 | + | 0.972723i | \(0.574517\pi\) | |||||||
\(24\) | 3.15020e8 | + | 1.02356e8i | 1.64843 | + | 0.535608i | ||||
\(25\) | 1.91024e8 | − | 1.38787e8i | 0.782434 | − | 0.568472i | ||||
\(26\) | −2.24993e8 | − | 1.63467e8i | −0.728333 | − | 0.529165i | ||||
\(27\) | 1.76754e8 | + | 5.43992e8i | 0.456232 | + | 1.40414i | ||||
\(28\) | −3.58824e7 | + | 1.16589e7i | −0.0744618 | + | 0.0241941i | ||||
\(29\) | −2.80538e8 | + | 3.86128e8i | −0.471633 | + | 0.649147i | −0.976870 | − | 0.213834i | \(-0.931405\pi\) |
0.505237 | + | 0.862980i | \(0.331405\pi\) | |||||||
\(30\) | −1.28364e8 | − | 1.76678e8i | −0.176083 | − | 0.242357i | ||||
\(31\) | 3.10656e7 | − | 9.56100e7i | 0.0350033 | − | 0.107729i | −0.932028 | − | 0.362386i | \(-0.881962\pi\) |
0.967032 | + | 0.254656i | \(0.0819624\pi\) | |||||||
\(32\) | 1.04670e8i | 0.0974819i | ||||||||
\(33\) | −4.46922e8 | − | 2.14226e9i | −0.346057 | − | 1.65878i | ||||
\(34\) | −6.65943e8 | −0.431086 | ||||||||
\(35\) | 5.08597e8 | + | 1.65253e8i | 0.276672 | + | 0.0898962i | ||||
\(36\) | −1.60769e8 | + | 1.16806e8i | −0.0738564 | + | 0.0536598i | ||||
\(37\) | 1.04904e9 | + | 7.62169e8i | 0.408865 | + | 0.297058i | 0.773142 | − | 0.634233i | \(-0.218684\pi\) |
−0.364277 | + | 0.931291i | \(0.618684\pi\) | |||||||
\(38\) | −1.44701e9 | − | 4.45345e9i | −0.480586 | − | 1.47909i | ||||
\(39\) | 5.23439e9 | − | 1.70076e9i | 1.48757 | − | 0.483342i | ||||
\(40\) | 4.46400e8 | − | 6.14417e8i | 0.108984 | − | 0.150004i | ||||
\(41\) | −2.00504e9 | − | 2.75970e9i | −0.422105 | − | 0.580977i | 0.544014 | − | 0.839076i | \(-0.316904\pi\) |
−0.966118 | + | 0.258099i | \(0.916904\pi\) | |||||||
\(42\) | −4.49879e9 | + | 1.38458e10i | −0.819596 | + | 2.52246i | ||||
\(43\) | − | 1.67046e9i | − | 0.264256i | −0.991233 | − | 0.132128i | \(-0.957819\pi\) | ||
0.991233 | − | 0.132128i | \(-0.0421811\pi\) | |||||||
\(44\) | 3.07238e8 | − | 1.75844e8i | 0.0423408 | − | 0.0242333i | ||||
\(45\) | 2.81668e9 | 0.339205 | ||||||||
\(46\) | −4.07715e9 | − | 1.32475e9i | −0.430338 | − | 0.139825i | ||||
\(47\) | −1.34379e10 | + | 9.76323e9i | −1.24665 | + | 0.905746i | −0.998023 | − | 0.0628525i | \(-0.979980\pi\) |
−0.248630 | + | 0.968599i | \(0.579980\pi\) | |||||||
\(48\) | 1.59087e10 | + | 1.15583e10i | 1.30073 | + | 0.945036i | ||||
\(49\) | −6.73915e9 | − | 2.07410e10i | −0.486887 | − | 1.49849i | ||||
\(50\) | 1.40170e10 | − | 4.55441e9i | 0.897090 | − | 0.291482i | ||||
\(51\) | 7.74645e9 | − | 1.06621e10i | 0.440232 | − | 0.605928i | ||||
\(52\) | 5.23311e8 | + | 7.20276e8i | 0.0264691 | + | 0.0364316i | ||||
\(53\) | −4.22245e9 | + | 1.29954e10i | −0.190506 | + | 0.586317i | −1.00000 | 0.000811281i | \(-0.999742\pi\) | |
0.809494 | + | 0.587129i | \(0.199742\pi\) | |||||||
\(54\) | 3.57031e10i | 1.43994i | ||||||||
\(55\) | −4.98810e9 | − | 5.43278e8i | −0.180202 | − | 0.0196267i | ||||
\(56\) | −5.06283e10 | −1.64159 | ||||||||
\(57\) | 8.81340e10 | + | 2.86365e10i | 2.56977 | + | 0.834969i | ||||
\(58\) | −2.41018e10 | + | 1.75110e10i | −0.633114 | + | 0.459985i | ||||
\(59\) | −4.82217e10 | − | 3.50351e10i | −1.14322 | − | 0.830599i | −0.155657 | − | 0.987811i | \(-0.549749\pi\) |
−0.987565 | + | 0.157212i | \(0.949749\pi\) | |||||||
\(60\) | 2.16041e8 | + | 6.64906e8i | 0.00463051 | + | 0.0142513i | ||||
\(61\) | 8.54965e10 | − | 2.77795e10i | 1.65947 | − | 0.539194i | 0.678709 | − | 0.734408i | \(-0.262540\pi\) |
0.980761 | + | 0.195213i | \(0.0625399\pi\) | |||||||
\(62\) | 3.68837e9 | − | 5.07661e9i | 0.0649359 | − | 0.0893766i | ||||
\(63\) | −1.10368e11 | − | 1.51909e11i | −1.76522 | − | 2.42962i | ||||
\(64\) | −2.21679e10 | + | 6.82258e10i | −0.322586 | + | 0.992817i | ||||
\(65\) | − | 1.26192e10i | − | 0.167322i | ||||||
\(66\) | 1.47900e10 | − | 1.35794e11i | 0.178939 | − | 1.64292i | ||||
\(67\) | 6.26130e10 | 0.692175 | 0.346087 | − | 0.938202i | \(-0.387510\pi\) | ||||
0.346087 | + | 0.938202i | \(0.387510\pi\) | |||||||
\(68\) | 2.02755e9 | + | 6.58792e8i | 0.0205078 | + | 0.00666338i | ||||
\(69\) | 6.86365e10 | − | 4.98673e10i | 0.636005 | − | 0.462085i | ||||
\(70\) | 2.70050e10 | + | 1.96203e10i | 0.229539 | + | 0.166770i | ||||
\(71\) | 1.94377e10 | + | 5.98232e10i | 0.151738 | + | 0.467003i | 0.997816 | − | 0.0660573i | \(-0.0210420\pi\) |
−0.846077 | + | 0.533060i | \(0.821042\pi\) | |||||||
\(72\) | −2.53612e11 | + | 8.24034e10i | −1.82043 | + | 0.591494i | ||||
\(73\) | −2.25639e10 | + | 3.10565e10i | −0.149100 | + | 0.205218i | −0.877033 | − | 0.480429i | \(-0.840481\pi\) |
0.727934 | + | 0.685647i | \(0.240481\pi\) | |||||||
\(74\) | 4.75741e10 | + | 6.54801e10i | 0.289721 | + | 0.398767i | ||||
\(75\) | −9.01320e10 | + | 2.77398e11i | −0.506421 | + | 1.55860i | ||||
\(76\) | 1.49906e10i | 0.0777924i | ||||||||
\(77\) | 1.66153e11 | + | 2.90305e11i | 0.797192 | + | 1.39287i | ||||
\(78\) | 3.43541e11 | 1.52550 | ||||||||
\(79\) | −1.38732e10 | − | 4.50768e9i | −0.0570709 | − | 0.0185435i | 0.280342 | − | 0.959900i | \(-0.409552\pi\) |
−0.337413 | + | 0.941357i | \(0.609552\pi\) | |||||||
\(80\) | 3.64761e10 | − | 2.65014e10i | 0.139145 | − | 0.101095i | ||||
\(81\) | −1.44051e11 | − | 1.04659e11i | −0.510043 | − | 0.370568i | ||||
\(82\) | −6.57970e10 | − | 2.02502e11i | −0.216433 | − | 0.666112i | ||||
\(83\) | −2.07488e11 | + | 6.74169e10i | −0.634636 | + | 0.206206i | −0.608627 | − | 0.793456i | \(-0.708280\pi\) |
−0.0260082 | + | 0.999662i | \(0.508280\pi\) | |||||||
\(84\) | 2.73943e10 | − | 3.77051e10i | 0.0779803 | − | 0.107331i | ||||
\(85\) | −1.77614e10 | − | 2.44464e10i | −0.0470937 | − | 0.0648189i | ||||
\(86\) | 3.22209e10 | − | 9.91658e10i | 0.0796429 | − | 0.245116i | ||||
\(87\) | − | 5.89576e11i | − | 1.35964i | ||||||
\(88\) | 4.65019e11 | − | 9.70132e10i | 1.00132 | − | 0.208898i | ||||
\(89\) | −1.54053e11 | −0.309977 | −0.154989 | − | 0.987916i | \(-0.549534\pi\) | ||||
−0.154989 | + | 0.987916i | \(0.549534\pi\) | |||||||
\(90\) | 1.67210e11 | + | 5.43298e10i | 0.314635 | + | 0.102231i | ||||
\(91\) | −6.80578e11 | + | 4.94469e11i | −1.19848 | + | 0.870745i | ||||
\(92\) | 1.11029e10 | + | 8.06673e9i | 0.0183109 | + | 0.0133036i | ||||
\(93\) | 3.83748e10 | + | 1.18105e11i | 0.0593127 | + | 0.182546i | ||||
\(94\) | −9.86054e11 | + | 3.20388e11i | −1.42933 | + | 0.464418i | ||||
\(95\) | 1.24890e11 | − | 1.71897e11i | 0.169898 | − | 0.233844i | ||||
\(96\) | −7.59992e10 | − | 1.04604e11i | −0.0970915 | − | 0.133635i | ||||
\(97\) | 3.57699e11 | − | 1.10089e12i | 0.429426 | − | 1.32164i | −0.469267 | − | 0.883056i | \(-0.655482\pi\) |
0.898692 | − | 0.438580i | \(-0.144518\pi\) | |||||||
\(98\) | − | 1.36126e12i | − | 1.53669i | ||||||
\(99\) | 1.30481e12 | + | 1.18379e12i | 1.38592 | + | 1.25737i | ||||
\(100\) | −4.71822e10 | −0.0471822 | ||||||||
\(101\) | 1.20029e12 | + | 3.89999e11i | 1.13073 | + | 0.367397i | 0.813854 | − | 0.581070i | \(-0.197366\pi\) |
0.316877 | + | 0.948467i | \(0.397366\pi\) | |||||||
\(102\) | 6.65520e11 | − | 4.83529e11i | 0.590963 | − | 0.429360i | ||||
\(103\) | −1.60021e12 | − | 1.16262e12i | −1.34015 | − | 0.973675i | −0.999438 | − | 0.0335068i | \(-0.989332\pi\) |
−0.340710 | − | 0.940168i | \(-0.610668\pi\) | |||||||
\(104\) | 3.69183e11 | + | 1.13623e12i | 0.291770 | + | 0.897977i | ||||
\(105\) | −6.28261e11 | + | 2.04134e11i | −0.468818 | + | 0.152328i | ||||
\(106\) | −5.01325e11 | + | 6.90015e11i | −0.353415 | + | 0.486433i | ||||
\(107\) | −2.35744e11 | − | 3.24474e11i | −0.157086 | − | 0.216211i | 0.723218 | − | 0.690619i | \(-0.242662\pi\) |
−0.880305 | + | 0.474409i | \(0.842662\pi\) | |||||||
\(108\) | 3.53197e10 | − | 1.08703e11i | 0.0222574 | − | 0.0685012i | ||||
\(109\) | 2.76321e12i | 1.64761i | 0.566871 | + | 0.823806i | \(0.308154\pi\) | ||||
−0.566871 | + | 0.823806i | \(0.691846\pi\) | |||||||
\(110\) | −2.85636e11 | − | 1.28465e11i | −0.161234 | − | 0.0725151i | ||||
\(111\) | −1.60177e12 | −0.856370 | ||||||||
\(112\) | −2.85854e12 | − | 9.28796e11i | −1.44823 | − | 0.470557i | ||||
\(113\) | 2.96154e12 | − | 2.15168e12i | 1.42248 | − | 1.03349i | 0.431124 | − | 0.902293i | \(-0.358117\pi\) |
0.991356 | − | 0.131200i | \(-0.0418829\pi\) | |||||||
\(114\) | 4.67966e12 | + | 3.39997e12i | 2.13199 | + | 1.54898i | ||||
\(115\) | −6.01109e10 | − | 1.85002e11i | −0.0259876 | − | 0.0799816i | ||||
\(116\) | 9.07043e10 | − | 2.94716e10i | 0.0372289 | − | 0.0120964i | ||||
\(117\) | −2.60441e12 | + | 3.58466e12i | −1.01530 | + | 1.39744i | ||||
\(118\) | −2.18687e12 | − | 3.00997e12i | −0.810086 | − | 1.11499i | ||||
\(119\) | −6.22483e11 | + | 1.91581e12i | −0.219203 | + | 0.674637i | ||||
\(120\) | 9.38149e11i | 0.314184i | ||||||||
\(121\) | −2.08238e12 | − | 2.34806e12i | −0.663512 | − | 0.748166i | ||||
\(122\) | 5.61127e12 | 1.70178 | ||||||||
\(123\) | 4.00753e12 | + | 1.30213e12i | 1.15730 | + | 0.376030i | ||||
\(124\) | −1.62518e10 | + | 1.18077e10i | −0.00447067 | + | 0.00324813i | ||||
\(125\) | 1.10046e12 | + | 7.99529e11i | 0.288478 | + | 0.209592i | ||||
\(126\) | −3.62182e12 | − | 1.11468e13i | −0.905113 | − | 2.78565i | ||||
\(127\) | 2.19340e12 | − | 7.12678e11i | 0.522751 | − | 0.169852i | −0.0357422 | − | 0.999361i | \(-0.511380\pi\) |
0.558494 | + | 0.829509i | \(0.311380\pi\) | |||||||
\(128\) | −2.37997e12 | + | 3.27574e12i | −0.541142 | + | 0.744818i | ||||
\(129\) | 1.21289e12 | + | 1.66940e12i | 0.263198 | + | 0.362261i | ||||
\(130\) | 2.43408e11 | − | 7.49132e11i | 0.0504283 | − | 0.155202i | ||||
\(131\) | 1.76108e11i | 0.0348459i | 0.999848 | + | 0.0174229i | \(0.00554617\pi\) | ||||
−0.999848 | + | 0.0174229i | \(0.994454\pi\) | |||||||
\(132\) | −1.79366e11 | + | 3.98812e11i | −0.0339076 | + | 0.0753920i | ||||
\(133\) | −1.41644e13 | −2.55911 | ||||||||
\(134\) | 3.71698e12 | + | 1.20772e12i | 0.642039 | + | 0.208611i | ||||
\(135\) | −1.31064e12 | + | 9.52236e11i | −0.216512 | + | 0.157305i | ||||
\(136\) | 2.31442e12 | + | 1.68152e12i | 0.365770 | + | 0.265747i | ||||
\(137\) | −1.88268e12 | − | 5.79428e12i | −0.284742 | − | 0.876347i | −0.986476 | − | 0.163907i | \(-0.947590\pi\) |
0.701733 | − | 0.712440i | \(-0.252410\pi\) | |||||||
\(138\) | 5.03643e12 | − | 1.63644e12i | 0.729203 | − | 0.236932i | ||||
\(139\) | −1.74773e12 | + | 2.40555e12i | −0.242318 | + | 0.333523i | −0.912803 | − | 0.408401i | \(-0.866086\pi\) |
0.670484 | + | 0.741924i | \(0.266086\pi\) | |||||||
\(140\) | −6.28107e10 | − | 8.64516e10i | −0.00834191 | − | 0.0114817i | ||||
\(141\) | 6.34050e12 | − | 1.95141e13i | 0.806880 | − | 2.48332i | ||||
\(142\) | 3.92629e12i | 0.478908i | ||||||||
\(143\) | 5.30360e12 | − | 5.84580e12i | 0.620232 | − | 0.683640i | ||||
\(144\) | −1.58310e13 | −1.77555 | ||||||||
\(145\) | −1.28564e12 | − | 4.17730e11i | −0.138328 | − | 0.0449456i | ||||
\(146\) | −1.93853e12 | + | 1.40842e12i | −0.200150 | + | 0.145417i | ||||
\(147\) | 2.17945e13 | + | 1.58346e13i | 2.15994 | + | 1.56929i | ||||
\(148\) | −8.00688e10 | − | 2.46426e11i | −0.00761891 | − | 0.0234486i | ||||
\(149\) | 9.05190e12 | − | 2.94114e12i | 0.827222 | − | 0.268781i | 0.135347 | − | 0.990798i | \(-0.456785\pi\) |
0.691875 | + | 0.722018i | \(0.256785\pi\) | |||||||
\(150\) | −1.07013e13 | + | 1.47290e13i | −0.939479 | + | 1.29308i | ||||
\(151\) | −2.29143e12 | − | 3.15389e12i | −0.193306 | − | 0.266063i | 0.701351 | − | 0.712816i | \(-0.252580\pi\) |
−0.894658 | + | 0.446753i | \(0.852580\pi\) | |||||||
\(152\) | −6.21611e12 | + | 1.91312e13i | −0.504031 | + | 1.55125i | ||||
\(153\) | 1.06100e13i | 0.827116i | ||||||||
\(154\) | 4.26395e12 | + | 2.04386e13i | 0.319659 | + | 1.53224i | ||||
\(155\) | 2.84732e11 | 0.0205327 | ||||||||
\(156\) | −1.04596e12 | − | 3.39852e11i | −0.0725715 | − | 0.0235799i | ||||
\(157\) | 5.99854e12 | − | 4.35820e12i | 0.400542 | − | 0.291011i | −0.369220 | − | 0.929342i | \(-0.620375\pi\) |
0.769762 | + | 0.638331i | \(0.220375\pi\) | |||||||
\(158\) | −7.36627e11 | − | 5.35191e11i | −0.0473484 | − | 0.0344006i | ||||
\(159\) | −5.21591e12 | − | 1.60529e13i | −0.322811 | − | 0.993509i | ||||
\(160\) | −2.81948e11 | + | 9.16106e10i | −0.0168054 | + | 0.00546042i | ||||
\(161\) | −7.62214e12 | + | 1.04910e13i | −0.437645 | + | 0.602367i | ||||
\(162\) | −6.53277e12 | − | 8.99159e12i | −0.361416 | − | 0.497446i | ||||
\(163\) | 5.99667e12 | − | 1.84559e13i | 0.319731 | − | 0.984031i | −0.654032 | − | 0.756467i | \(-0.726924\pi\) |
0.973763 | − | 0.227564i | \(-0.0730761\pi\) | |||||||
\(164\) | 6.81636e11i | 0.0350340i | ||||||||
\(165\) | 5.37939e12 | − | 3.07883e12i | 0.266581 | − | 0.152575i | ||||
\(166\) | −1.36178e13 | −0.650815 | ||||||||
\(167\) | 3.42677e12 | + | 1.11342e12i | 0.157974 | + | 0.0513289i | 0.386936 | − | 0.922106i | \(-0.373533\pi\) |
−0.228962 | + | 0.973435i | \(0.573533\pi\) | |||||||
\(168\) | 5.05961e13 | − | 3.67602e13i | 2.25041 | − | 1.63502i | ||||
\(169\) | −2.78862e12 | − | 2.02605e12i | −0.119693 | − | 0.0869620i | ||||
\(170\) | −5.82853e11 | − | 1.79384e12i | −0.0241471 | − | 0.0743173i | ||||
\(171\) | −7.09536e13 | + | 2.30542e13i | −2.83790 | + | 0.922091i | ||||
\(172\) | −1.96202e11 | + | 2.70049e11i | −0.00757761 | + | 0.0104297i | ||||
\(173\) | −1.58659e13 | − | 2.18375e13i | −0.591818 | − | 0.814568i | 0.403110 | − | 0.915151i | \(-0.367929\pi\) |
−0.994929 | + | 0.100584i | \(0.967929\pi\) | |||||||
\(174\) | 1.13721e13 | − | 3.49998e13i | 0.409775 | − | 1.26116i | ||||
\(175\) | − | 4.45818e13i | − | 1.55214i | ||||||
\(176\) | 2.80353e13 | + | 3.05347e12i | 0.943257 | + | 0.102735i | ||||
\(177\) | 7.36294e13 | 2.39448 | ||||||||
\(178\) | −9.14525e12 | − | 2.97147e12i | −0.287525 | − | 0.0934226i | ||||
\(179\) | −2.25743e13 | + | 1.64012e13i | −0.686271 | + | 0.498605i | −0.875432 | − | 0.483341i | \(-0.839423\pi\) |
0.189161 | + | 0.981946i | \(0.439423\pi\) | |||||||
\(180\) | −4.55347e11 | − | 3.30829e11i | −0.0133877 | − | 0.00972677i | ||||
\(181\) | 1.14637e13 | + | 3.52815e13i | 0.326026 | + | 1.00340i | 0.970975 | + | 0.239179i | \(0.0768783\pi\) |
−0.644950 | + | 0.764225i | \(0.723122\pi\) | |||||||
\(182\) | −4.99397e13 | + | 1.62264e13i | −1.37410 | + | 0.446472i | ||||
\(183\) | −6.52720e13 | + | 8.98392e13i | −1.73788 | + | 2.39199i | ||||
\(184\) | 1.08247e13 | + | 1.48989e13i | 0.278939 | + | 0.383926i | ||||
\(185\) | −1.13489e12 | + | 3.49284e12i | −0.0283090 | + | 0.0871261i | ||||
\(186\) | 7.75144e12i | 0.187200i | ||||||||
\(187\) | 2.04645e12 | − | 1.87894e13i | 0.0478576 | − | 0.439404i | ||||
\(188\) | 3.31912e12 | 0.0751754 | ||||||||
\(189\) | 1.02712e14 | + | 3.33731e13i | 2.25346 | + | 0.732193i | ||||
\(190\) | 1.07297e13 | − | 7.79558e12i | 0.228069 | − | 0.165702i | ||||
\(191\) | −2.71695e13 | − | 1.97398e13i | −0.559604 | − | 0.406576i | 0.271710 | − | 0.962379i | \(-0.412411\pi\) |
−0.831314 | + | 0.555803i | \(0.812411\pi\) | |||||||
\(192\) | −2.73836e13 | − | 8.42782e13i | −0.546618 | − | 1.68232i | ||||
\(193\) | 1.68648e13 | − | 5.47971e12i | 0.326316 | − | 0.106026i | −0.141278 | − | 0.989970i | \(-0.545121\pi\) |
0.467593 | + | 0.883944i | \(0.345121\pi\) | |||||||
\(194\) | 4.24692e13 | − | 5.84538e13i | 0.796643 | − | 1.09648i | ||||
\(195\) | 9.16258e12 | + | 1.26112e13i | 0.166652 | + | 0.229377i | ||||
\(196\) | −1.34664e12 | + | 4.14455e12i | −0.0237529 | + | 0.0731039i | ||||
\(197\) | − | 4.58554e13i | − | 0.784500i | −0.919859 | − | 0.392250i | \(-0.871697\pi\) | ||
0.919859 | − | 0.392250i | \(-0.128303\pi\) | |||||||
\(198\) | 5.46256e13 | + | 9.54429e13i | 0.906578 | + | 1.58399i | ||||
\(199\) | −9.42125e13 | −1.51702 | −0.758508 | − | 0.651664i | \(-0.774071\pi\) | ||||
−0.758508 | + | 0.651664i | \(0.774071\pi\) | |||||||
\(200\) | −6.02147e13 | − | 1.95649e13i | −0.940855 | − | 0.305702i | ||||
\(201\) | −6.25732e13 | + | 4.54621e13i | −0.948882 | + | 0.689403i | ||||
\(202\) | 6.37321e13 | + | 4.63041e13i | 0.938102 | + | 0.681571i | ||||
\(203\) | 2.78473e13 | + | 8.57052e13i | 0.397930 | + | 1.22470i | ||||
\(204\) | −2.50460e12 | + | 8.13794e11i | −0.0347502 | + | 0.0112910i | ||||
\(205\) | 5.67888e12 | − | 7.81631e12i | 0.0765138 | − | 0.105312i | ||||
\(206\) | −7.25699e13 | − | 9.98839e13i | −0.949628 | − | 1.30705i | ||||
\(207\) | −2.11062e13 | + | 6.49583e13i | −0.268280 | + | 0.825681i | ||||
\(208\) | 7.09257e13i | 0.875837i | ||||||||
\(209\) | 1.30100e14 | − | 2.71416e13i | 1.56098 | − | 0.325655i | ||||
\(210\) | −4.12337e13 | −0.480770 | ||||||||
\(211\) | 3.36242e13 | + | 1.09252e13i | 0.381028 | + | 0.123804i | 0.493268 | − | 0.869878i | \(-0.335802\pi\) |
−0.112239 | + | 0.993681i | \(0.535802\pi\) | |||||||
\(212\) | 2.20896e12 | − | 1.60490e12i | 0.0243317 | − | 0.0176780i | ||||
\(213\) | −6.28619e13 | − | 4.56718e13i | −0.673146 | − | 0.489070i | ||||
\(214\) | −7.73613e12 | − | 2.38094e13i | −0.0805455 | − | 0.247894i | ||||
\(215\) | 4.49969e12 | − | 1.46204e12i | 0.0455566 | − | 0.0148022i | ||||
\(216\) | 9.01510e13 | − | 1.24082e14i | 0.887663 | − | 1.22176i | ||||
\(217\) | −1.11569e13 | − | 1.53561e13i | −0.106852 | − | 0.147070i | ||||
\(218\) | −5.32986e13 | + | 1.64036e14i | −0.496566 | + | 1.52827i | ||||
\(219\) | − | 4.74200e13i | − | 0.429830i | ||||||
\(220\) | 7.42572e11 | + | 6.73698e11i | 0.00654941 | + | 0.00594195i | ||||
\(221\) | 4.75347e13 | 0.407997 | ||||||||
\(222\) | −9.50878e13 | − | 3.08959e13i | −0.794341 | − | 0.258097i | ||||
\(223\) | 9.28120e13 | − | 6.74319e13i | 0.754701 | − | 0.548322i | −0.142579 | − | 0.989783i | \(-0.545540\pi\) |
0.897280 | + | 0.441461i | \(0.145540\pi\) | |||||||
\(224\) | 1.59885e13 | + | 1.16164e13i | 0.126567 | + | 0.0919564i | ||||
\(225\) | −7.25621e13 | − | 2.23323e14i | −0.559261 | − | 1.72123i | ||||
\(226\) | 2.17313e14 | − | 7.06091e13i | 1.63093 | − | 0.529920i | ||||
\(227\) | −6.42495e13 | + | 8.84318e13i | −0.469585 | + | 0.646329i | −0.976462 | − | 0.215690i | \(-0.930800\pi\) |
0.506877 | + | 0.862019i | \(0.330800\pi\) | |||||||
\(228\) | −1.08844e13 | − | 1.49811e13i | −0.0774809 | − | 0.106643i | ||||
\(229\) | 1.96418e13 | − | 6.04513e13i | 0.136197 | − | 0.419172i | −0.859577 | − | 0.511006i | \(-0.829273\pi\) |
0.995774 | + | 0.0918340i | \(0.0292729\pi\) | |||||||
\(230\) | − | 1.21420e13i | − | 0.0820206i | ||||||
\(231\) | −3.76832e14 | − | 1.69481e14i | −2.48014 | − | 1.11544i | ||||
\(232\) | 1.27979e14 | 0.820750 | ||||||||
\(233\) | 2.69907e14 | + | 8.76981e13i | 1.68686 | + | 0.548093i | 0.986222 | − | 0.165426i | \(-0.0529000\pi\) |
0.700635 | + | 0.713520i | \(0.252900\pi\) | |||||||
\(234\) | −2.23752e14 | + | 1.62565e14i | −1.36292 | + | 0.990223i | ||||
\(235\) | −3.80603e13 | − | 2.76524e13i | −0.225977 | − | 0.164182i | ||||
\(236\) | 3.68057e12 | + | 1.13276e13i | 0.0213031 | + | 0.0655643i | ||||
\(237\) | 1.71373e13 | − | 5.56826e12i | 0.0967060 | − | 0.0314217i | ||||
\(238\) | −7.39066e13 | + | 1.01724e14i | −0.406651 | + | 0.559707i | ||||
\(239\) | 1.59634e12 | + | 2.19717e12i | 0.00856519 | + | 0.0117890i | 0.813278 | − | 0.581875i | \(-0.197681\pi\) |
−0.804713 | + | 0.593664i | \(0.797681\pi\) | |||||||
\(240\) | −1.72107e13 | + | 5.29691e13i | −0.0900599 | + | 0.277176i | ||||
\(241\) | 3.31998e14i | 1.69447i | 0.531222 | + | 0.847233i | \(0.321733\pi\) | ||||
−0.531222 | + | 0.847233i | \(0.678267\pi\) | |||||||
\(242\) | −7.83284e13 | − | 1.79558e14i | −0.389966 | − | 0.893947i | ||||
\(243\) | −8.40265e13 | −0.408112 | ||||||||
\(244\) | −1.70843e13 | − | 5.55102e12i | −0.0809576 | − | 0.0263047i | ||||
\(245\) | 4.99712e13 | − | 3.63062e13i | 0.231059 | − | 0.167874i | ||||
\(246\) | 2.12788e14 | + | 1.54600e14i | 0.960146 | + | 0.697587i | ||||
\(247\) | 1.03287e14 | + | 3.17885e14i | 0.454846 | + | 1.39987i | ||||
\(248\) | −2.56371e13 | + | 8.33000e12i | −0.110194 | + | 0.0358043i | ||||
\(249\) | 1.58406e14 | − | 2.18027e14i | 0.664623 | − | 0.914776i | ||||
\(250\) | 4.99061e13 | + | 6.86898e13i | 0.204415 | + | 0.281354i | ||||
\(251\) | −3.73759e13 | + | 1.15031e14i | −0.149468 | + | 0.460016i | −0.997558 | − | 0.0698359i | \(-0.977752\pi\) |
0.848090 | + | 0.529852i | \(0.177752\pi\) | |||||||
\(252\) | 3.75209e13i | 0.146511i | ||||||||
\(253\) | 4.99065e13 | − | 1.10965e14i | 0.190298 | − | 0.423118i | ||||
\(254\) | 1.43956e14 | 0.536078 | ||||||||
\(255\) | 3.55002e13 | + | 1.15347e13i | 0.129119 | + | 0.0419532i | ||||
\(256\) | 3.32472e13 | − | 2.41555e13i | 0.118118 | − | 0.0858176i | ||||
\(257\) | −3.59506e14 | − | 2.61197e14i | −1.24769 | − | 0.906502i | −0.249607 | − | 0.968347i | \(-0.580302\pi\) |
−0.998086 | + | 0.0618449i | \(0.980302\pi\) | |||||||
\(258\) | 3.98019e13 | + | 1.22498e14i | 0.134954 | + | 0.415346i | ||||
\(259\) | 2.32845e14 | − | 7.56559e13i | 0.771379 | − | 0.250636i | ||||
\(260\) | −1.48217e12 | + | 2.04004e12i | −0.00479799 | + | 0.00660387i | ||||
\(261\) | 2.78990e14 | + | 3.83997e14i | 0.882564 | + | 1.21474i | ||||
\(262\) | −3.39688e12 | + | 1.04545e13i | −0.0105020 | + | 0.0323219i | ||||
\(263\) | − | 2.44958e14i | − | 0.740215i | −0.928989 | − | 0.370107i | \(-0.879321\pi\) | ||
0.928989 | − | 0.370107i | \(-0.120679\pi\) | |||||||
\(264\) | −3.94284e14 | + | 4.34593e14i | −1.16462 | + | 1.28369i | ||||
\(265\) | −3.87009e13 | −0.111750 | ||||||||
\(266\) | −8.40860e14 | − | 2.73212e14i | −2.37375 | − | 0.771277i | ||||
\(267\) | 1.53955e14 | − | 1.11855e14i | 0.424939 | − | 0.308736i | ||||
\(268\) | −1.01221e13 | − | 7.35413e12i | −0.0273188 | − | 0.0198483i | ||||
\(269\) | 7.34533e13 | + | 2.26066e14i | 0.193864 | + | 0.596653i | 0.999988 | + | 0.00490562i | \(0.00156151\pi\) |
−0.806124 | + | 0.591747i | \(0.798438\pi\) | |||||||
\(270\) | −9.61726e13 | + | 3.12484e13i | −0.248238 | + | 0.0806575i | ||||
\(271\) | 1.80191e14 | − | 2.48012e14i | 0.454902 | − | 0.626119i | −0.518540 | − | 0.855054i | \(-0.673524\pi\) |
0.973442 | + | 0.228934i | \(0.0735241\pi\) | |||||||
\(272\) | 9.98268e13 | + | 1.37400e14i | 0.246509 | + | 0.339291i | ||||
\(273\) | 3.21121e14 | − | 9.88310e14i | 0.775699 | − | 2.38736i | ||||
\(274\) | − | 3.80288e14i | − | 0.898688i | ||||||
\(275\) | 8.54271e13 | + | 4.09483e14i | 0.197515 | + | 0.946759i | ||||
\(276\) | −1.69530e13 | −0.0383523 | ||||||||
\(277\) | −7.58553e14 | − | 2.46469e14i | −1.67922 | − | 0.545612i | −0.694460 | − | 0.719531i | \(-0.744357\pi\) |
−0.984760 | + | 0.173920i | \(0.944357\pi\) | |||||||
\(278\) | −1.50153e14 | + | 1.09092e14i | −0.325285 | + | 0.236334i | ||||
\(279\) | −8.08820e13 | − | 5.87642e13i | −0.171485 | − | 0.124591i | ||||
\(280\) | −4.43114e13 | − | 1.36376e14i | −0.0919533 | − | 0.283003i | ||||
\(281\) | 3.45909e14 | − | 1.12393e14i | 0.702626 | − | 0.228297i | 0.0641515 | − | 0.997940i | \(-0.479566\pi\) |
0.638474 | + | 0.769643i | \(0.279566\pi\) | |||||||
\(282\) | 7.52799e14 | − | 1.03614e15i | 1.49687 | − | 2.06027i | ||||
\(283\) | 2.05793e13 | + | 2.83250e13i | 0.0400602 | + | 0.0551381i | 0.828577 | − | 0.559875i | \(-0.189151\pi\) |
−0.788517 | + | 0.615013i | \(0.789151\pi\) | |||||||
\(284\) | 3.88413e12 | − | 1.19541e13i | 0.00740259 | − | 0.0227828i | ||||
\(285\) | 2.62468e14i | 0.489788i | ||||||||
\(286\) | 4.27602e14 | − | 2.44733e14i | 0.781346 | − | 0.447194i | ||||
\(287\) | −6.44069e14 | −1.15250 | ||||||||
\(288\) | 9.89982e13 | + | 3.21665e13i | 0.173489 | + | 0.0563700i | ||||
\(289\) | −3.79265e14 | + | 2.75552e14i | −0.650963 | + | 0.472952i | ||||
\(290\) | −6.82637e13 | − | 4.95965e13i | −0.114763 | − | 0.0833802i | ||||
\(291\) | 4.41860e14 | + | 1.35991e15i | 0.727657 | + | 2.23950i | ||||
\(292\) | 7.29541e12 | − | 2.37042e12i | 0.0117694 | − | 0.00382409i | ||||
\(293\) | −1.59519e14 | + | 2.19560e14i | −0.252120 | + | 0.347014i | −0.916252 | − | 0.400601i | \(-0.868801\pi\) |
0.664132 | + | 0.747615i | \(0.268801\pi\) | |||||||
\(294\) | 9.88387e14 | + | 1.36040e15i | 1.53053 | + | 2.10660i | ||||
\(295\) | 5.21683e13 | − | 1.60558e14i | 0.0791544 | − | 0.243612i | ||||
\(296\) | − | 3.47695e14i | − | 0.516950i | ||||||
\(297\) | −1.00735e15 | − | 1.09716e14i | −1.46772 | − | 0.159856i | ||||
\(298\) | 5.94090e14 | 0.848311 | ||||||||
\(299\) | 2.91025e14 | + | 9.45598e13i | 0.407289 | + | 0.132336i | ||||
\(300\) | 4.71523e13 | − | 3.42581e13i | 0.0646807 | − | 0.0469933i | ||||
\(301\) | −2.55165e14 | − | 1.85388e14i | −0.343101 | − | 0.249278i | ||||
\(302\) | −7.51953e13 | − | 2.31427e14i | −0.0991171 | − | 0.305051i | ||||
\(303\) | −1.48270e15 | + | 4.81759e14i | −1.91601 | + | 0.622550i | ||||
\(304\) | −7.01940e14 | + | 9.66138e14i | −0.889321 | + | 1.22405i | ||||
\(305\) | 1.49658e14 | + | 2.05987e14i | 0.185909 | + | 0.255882i | ||||
\(306\) | −2.04652e14 | + | 6.29855e14i | −0.249280 | + | 0.767206i | ||||
\(307\) | − | 1.26242e14i | − | 0.150790i | −0.997154 | − | 0.0753951i | \(-0.975978\pi\) | ||
0.997154 | − | 0.0753951i | \(-0.0240218\pi\) | |||||||
\(308\) | 7.23700e12 | − | 6.64463e13i | 0.00847723 | − | 0.0778335i | ||||
\(309\) | 2.44335e15 | 2.80695 | ||||||||
\(310\) | 1.69029e13 | + | 5.49210e12i | 0.0190455 | + | 0.00618825i | ||||
\(311\) | 3.05740e14 | − | 2.22133e14i | 0.337901 | − | 0.245500i | −0.405875 | − | 0.913929i | \(-0.633033\pi\) |
0.743776 | + | 0.668429i | \(0.233033\pi\) | |||||||
\(312\) | −1.19394e15 | − | 8.67449e14i | −1.29436 | − | 0.940408i | ||||
\(313\) | 4.66939e13 | + | 1.43709e14i | 0.0496586 | + | 0.152833i | 0.972811 | − | 0.231601i | \(-0.0743964\pi\) |
−0.923152 | + | 0.384435i | \(0.874396\pi\) | |||||||
\(314\) | 4.40163e14 | − | 1.43018e14i | 0.459236 | − | 0.149215i | ||||
\(315\) | 3.12596e14 | − | 4.30251e14i | 0.319978 | − | 0.440411i | ||||
\(316\) | 1.71332e12 | + | 2.35818e12i | 0.00172074 | + | 0.00236839i | ||||
\(317\) | 1.58725e14 | − | 4.88505e14i | 0.156419 | − | 0.481409i | −0.841883 | − | 0.539660i | \(-0.818553\pi\) |
0.998302 | + | 0.0582519i | \(0.0185526\pi\) | |||||||
\(318\) | − | 1.05358e15i | − | 1.01884i | ||||||
\(319\) | −4.20004e14 | − | 7.33839e14i | −0.398574 | − | 0.696396i | ||||
\(320\) | −2.03181e14 | −0.189227 | ||||||||
\(321\) | 4.71189e14 | + | 1.53099e14i | 0.430690 | + | 0.139940i | ||||
\(322\) | −6.54840e14 | + | 4.75769e14i | −0.587490 | + | 0.426836i | ||||
\(323\) | 6.47510e14 | + | 4.70443e14i | 0.570205 | + | 0.414278i | ||||
\(324\) | 1.09949e13 | + | 3.38387e13i | 0.00950429 | + | 0.0292512i | ||||
\(325\) | −1.00053e15 | + | 3.25092e14i | −0.849043 | + | 0.275871i | ||||
\(326\) | 7.11977e14 | − | 9.79952e14i | 0.593144 | − | 0.816393i | ||||
\(327\) | −2.00632e15 | − | 2.76146e15i | −1.64102 | − | 2.25866i | ||||
\(328\) | −2.82652e14 | + | 8.69915e14i | −0.226992 | + | 0.698608i | ||||
\(329\) | 3.13619e15i | 2.47302i | ||||||||
\(330\) | 3.78731e14 | − | 7.90115e13i | 0.293256 | − | 0.0611796i | ||||
\(331\) | 2.99289e13 | 0.0227574 | 0.0113787 | − | 0.999935i | \(-0.496378\pi\) | ||||
0.0113787 | + | 0.999935i | \(0.496378\pi\) | |||||||
\(332\) | 4.14611e13 | + | 1.34715e13i | 0.0309608 | + | 0.0100598i | ||||
\(333\) | 1.04325e15 | − | 7.57964e14i | 0.765107 | − | 0.555883i | ||||
\(334\) | 1.81951e14 | + | 1.32195e14i | 0.131062 | + | 0.0952221i | ||||
\(335\) | 5.48008e13 | + | 1.68659e14i | 0.0387720 | + | 0.119328i | ||||
\(336\) | 3.53111e15 | − | 1.14733e15i | 2.45400 | − | 0.797354i | ||||
\(337\) | 5.75475e14 | − | 7.92074e14i | 0.392869 | − | 0.540737i | −0.566068 | − | 0.824359i | \(-0.691536\pi\) |
0.958936 | + | 0.283622i | \(0.0915359\pi\) | |||||||
\(338\) | −1.26465e14 | − | 1.74064e14i | −0.0848142 | − | 0.116737i | ||||
\(339\) | −1.39736e15 | + | 4.30063e15i | −0.920682 | + | 2.83357i | ||||
\(340\) | 6.03817e12i | 0.00390870i | ||||||||
\(341\) | 1.31901e14 | + | 1.19667e14i | 0.0838921 | + | 0.0761111i | ||||
\(342\) | −4.65680e15 | −2.91025 | ||||||||
\(343\) | −1.43064e15 | − | 4.64844e14i | −0.878550 | − | 0.285458i | ||||
\(344\) | −3.62376e14 | + | 2.63282e14i | −0.218680 | + | 0.158880i | ||||
\(345\) | 1.94399e14 | + | 1.41239e14i | 0.115287 | + | 0.0837609i | ||||
\(346\) | −5.20652e14 | − | 1.60240e15i | −0.303453 | − | 0.933932i | ||||
\(347\) | 2.39559e15 | − | 7.78375e14i | 1.37226 | − | 0.445874i | 0.472142 | − | 0.881523i | \(-0.343481\pi\) |
0.900117 | + | 0.435649i | \(0.143481\pi\) | |||||||
\(348\) | −6.92479e13 | + | 9.53115e13i | −0.0389880 | + | 0.0536624i | ||||
\(349\) | −7.37998e14 | − | 1.01577e15i | −0.408416 | − | 0.562137i | 0.554415 | − | 0.832240i | \(-0.312942\pi\) |
−0.962831 | + | 0.270104i | \(0.912942\pi\) | |||||||
\(350\) | 8.59923e14 | − | 2.64657e15i | 0.467790 | − | 1.43971i | ||||
\(351\) | − | 2.54847e15i | − | 1.36281i | ||||||
\(352\) | −1.69113e14 | − | 7.60588e13i | −0.0889041 | − | 0.0399847i | ||||
\(353\) | 1.78725e15 | 0.923715 | 0.461858 | − | 0.886954i | \(-0.347183\pi\) | ||||
0.461858 | + | 0.886954i | \(0.347183\pi\) | |||||||
\(354\) | 4.37096e15 | + | 1.42021e15i | 2.22105 | + | 0.721661i | ||||
\(355\) | −1.44132e14 | + | 1.04718e14i | −0.0720096 | + | 0.0523180i | ||||
\(356\) | 2.49044e13 | + | 1.80941e13i | 0.0122342 | + | 0.00888867i | ||||
\(357\) | −7.68943e14 | − | 2.36656e15i | −0.371437 | − | 1.14316i | ||||
\(358\) | −1.65646e15 | + | 5.38218e14i | −0.786835 | + | 0.255658i | ||||
\(359\) | −4.96281e14 | + | 6.83072e14i | −0.231825 | + | 0.319080i | −0.909043 | − | 0.416703i | \(-0.863186\pi\) |
0.677218 | + | 0.735783i | \(0.263186\pi\) | |||||||
\(360\) | −4.43937e14 | − | 6.11027e14i | −0.203942 | − | 0.280702i | ||||
\(361\) | −1.05515e15 | + | 3.24741e15i | −0.476726 | + | 1.46721i | ||||
\(362\) | 2.31558e15i | 1.02898i | ||||||||
\(363\) | 3.78595e15 | + | 8.34592e14i | 1.65476 | + | 0.364783i | ||||
\(364\) | 1.68100e14 | 0.0722704 | ||||||||
\(365\) | −1.03405e14 | − | 3.35983e13i | −0.0437305 | − | 0.0142089i | ||||
\(366\) | −5.60771e15 | + | 4.07424e15i | −2.33291 | + | 1.69496i | ||||
\(367\) | −5.59679e14 | − | 4.06631e14i | −0.229057 | − | 0.166419i | 0.467337 | − | 0.884079i | \(-0.345213\pi\) |
−0.696394 | + | 0.717660i | \(0.745213\pi\) | |||||||
\(368\) | 3.37850e14 | + | 1.03980e15i | 0.136031 | + | 0.418659i | ||||
\(369\) | −3.22632e15 | + | 1.04830e15i | −1.27806 | + | 0.415266i | ||||
\(370\) | −1.34744e14 | + | 1.85460e14i | −0.0525170 | + | 0.0722835i | ||||
\(371\) | 1.51645e15 | + | 2.08721e15i | 0.581546 | + | 0.800430i | ||||
\(372\) | 7.66820e12 | − | 2.36003e13i | 0.00289358 | − | 0.00890554i | ||||
\(373\) | 4.32621e14i | 0.160640i | 0.996769 | + | 0.0803201i | \(0.0255942\pi\) | ||||
−0.996769 | + | 0.0803201i | \(0.974406\pi\) | |||||||
\(374\) | 4.83908e14 | − | 1.07595e15i | 0.176821 | − | 0.393153i | ||||
\(375\) | −1.68028e15 | −0.604219 | ||||||||
\(376\) | 4.23591e15 | + | 1.37633e15i | 1.49906 | + | 0.487075i | ||||
\(377\) | 1.72038e15 | − | 1.24993e15i | 0.599206 | − | 0.435348i | ||||
\(378\) | 5.45369e15 | + | 3.96234e15i | 1.86956 | + | 1.35832i | ||||
\(379\) | −5.92633e14 | − | 1.82394e15i | −0.199963 | − | 0.615424i | −0.999883 | − | 0.0153162i | \(-0.995124\pi\) |
0.799919 | − | 0.600107i | \(-0.204876\pi\) | |||||||
\(380\) | −4.03799e13 | + | 1.31202e13i | −0.0134111 | + | 0.00435752i | ||||
\(381\) | −1.67454e15 | + | 2.30481e15i | −0.547453 | + | 0.753504i | ||||
\(382\) | −1.23214e15 | − | 1.69590e15i | −0.396535 | − | 0.545783i | ||||
\(383\) | 1.20710e15 | − | 3.71508e15i | 0.382430 | − | 1.17700i | −0.555898 | − | 0.831251i | \(-0.687625\pi\) |
0.938328 | − | 0.345747i | \(-0.112375\pi\) | |||||||
\(384\) | − | 5.00171e15i | − | 1.56002i | ||||||
\(385\) | −6.36568e14 | + | 7.01646e14i | −0.195470 | + | 0.215453i | ||||
\(386\) | 1.10686e15 | 0.334634 | ||||||||
\(387\) | −1.57994e15 | − | 5.13353e14i | −0.470299 | − | 0.152809i | ||||
\(388\) | −1.87129e14 | + | 1.35957e14i | −0.0548468 | + | 0.0398485i | ||||
\(389\) | −2.57009e15 | − | 1.86728e15i | −0.741737 | − | 0.538904i | 0.151518 | − | 0.988455i | \(-0.451584\pi\) |
−0.893255 | + | 0.449551i | \(0.851584\pi\) | |||||||
\(390\) | 3.00677e14 | + | 9.25390e14i | 0.0854502 | + | 0.262989i | ||||
\(391\) | 6.96875e14 | − | 2.26429e14i | 0.195027 | − | 0.0633681i | ||||
\(392\) | −3.43722e15 | + | 4.73092e15i | −0.947307 | + | 1.30386i | ||||
\(393\) | −1.27869e14 | − | 1.75996e14i | −0.0347063 | − | 0.0477692i | ||||
\(394\) | 8.84488e14 | − | 2.72217e15i | 0.236436 | − | 0.727677i | ||||
\(395\) | − | 4.13153e13i | − | 0.0108775i | ||||||
\(396\) | −7.18969e13 | − | 3.44628e14i | −0.0186440 | − | 0.0893674i | ||||
\(397\) | 3.39427e15 | 0.866969 | 0.433484 | − | 0.901161i | \(-0.357284\pi\) | ||||
0.433484 | + | 0.901161i | \(0.357284\pi\) | |||||||
\(398\) | −5.59286e15 | − | 1.81723e15i | −1.40713 | − | 0.457206i | ||||
\(399\) | 1.41554e16 | − | 1.02845e16i | 3.50820 | − | 2.54886i | ||||
\(400\) | −3.04087e15 | − | 2.20932e15i | −0.742401 | − | 0.539386i | ||||
\(401\) | −2.39737e15 | − | 7.37834e15i | −0.576592 | − | 1.77457i | −0.630693 | − | 0.776032i | \(-0.717229\pi\) |
0.0541015 | − | 0.998535i | \(-0.482771\pi\) | |||||||
\(402\) | −4.59152e15 | + | 1.49188e15i | −1.08793 | + | 0.353489i | ||||
\(403\) | −2.63274e14 | + | 3.62366e14i | −0.0614580 | + | 0.0845897i | ||||
\(404\) | −1.48234e14 | − | 2.04027e14i | −0.0340926 | − | 0.0469244i | ||||
\(405\) | 1.55841e14 | − | 4.79629e14i | 0.0353144 | − | 0.108686i | ||||
\(406\) | 5.62497e15i | 1.25593i | ||||||||
\(407\) | −1.99370e15 | + | 1.14107e15i | −0.438625 | + | 0.251042i | ||||
\(408\) | −3.53387e15 | −0.766106 | ||||||||
\(409\) | −5.15139e14 | − | 1.67379e14i | −0.110049 | − | 0.0357569i | 0.253475 | − | 0.967342i | \(-0.418426\pi\) |
−0.363524 | + | 0.931585i | \(0.618426\pi\) | |||||||
\(410\) | 4.87889e14 | − | 3.54472e14i | 0.102711 | − | 0.0746241i | ||||
\(411\) | 6.08860e15 | + | 4.42363e15i | 1.26318 | + | 0.917756i | ||||
\(412\) | 1.22138e14 | + | 3.75901e14i | 0.0249727 | + | 0.0768581i | ||||
\(413\) | −1.07033e16 | + | 3.47772e15i | −2.15684 | + | 0.700801i | ||||
\(414\) | −2.50591e15 | + | 3.44909e15i | −0.497696 | + | 0.685020i | ||||
\(415\) | −3.63199e14 | − | 4.99901e14i | −0.0710979 | − | 0.0978578i | ||||
\(416\) | 1.44112e14 | − | 4.43530e14i | 0.0278060 | − | 0.0855782i | ||||
\(417\) | − | 3.67302e15i | − | 0.698565i | ||||||
\(418\) | 8.24680e15 | + | 8.98199e14i | 1.54607 | + | 0.168390i | ||||
\(419\) | 2.56724e15 | 0.474441 | 0.237221 | − | 0.971456i | \(-0.423764\pi\) | ||||
0.237221 | + | 0.971456i | \(0.423764\pi\) | |||||||
\(420\) | 1.25542e14 | + | 4.07910e13i | 0.0228714 | + | 0.00743136i | ||||
\(421\) | −3.11386e15 | + | 2.26235e15i | −0.559250 | + | 0.406319i | −0.831184 | − | 0.555997i | \(-0.812337\pi\) |
0.271934 | + | 0.962316i | \(0.412337\pi\) | |||||||
\(422\) | 1.78535e15 | + | 1.29713e15i | 0.316117 | + | 0.229673i | ||||
\(423\) | 5.10451e15 | + | 1.57101e16i | 0.891071 | + | 2.74243i | ||||
\(424\) | 3.48461e15 | − | 1.13222e15i | 0.599734 | − | 0.194865i | ||||
\(425\) | −1.48070e15 | + | 2.03801e15i | −0.251266 | + | 0.345838i | ||||
\(426\) | −2.85080e15 | − | 3.92380e15i | −0.476991 | − | 0.656521i | ||||
\(427\) | 5.24508e15 | − | 1.61427e16i | 0.865336 | − | 2.66323i | ||||
\(428\) | 8.01439e13i | 0.0130379i | ||||||||
\(429\) | −1.05570e15 | + | 9.69292e15i | −0.169355 | + | 1.55493i | ||||
\(430\) | 2.95322e14 | 0.0467180 | ||||||||
\(431\) | −1.59253e15 | − | 5.17445e14i | −0.248442 | − | 0.0807237i | 0.182149 | − | 0.983271i | \(-0.441695\pi\) |
−0.430591 | + | 0.902547i | \(0.641695\pi\) | |||||||
\(432\) | 7.36639e15 | − | 5.35199e15i | 1.13332 | − | 0.823404i | ||||
\(433\) | −2.22611e14 | − | 1.61736e14i | −0.0337768 | − | 0.0245403i | 0.570769 | − | 0.821111i | \(-0.306645\pi\) |
−0.604546 | + | 0.796571i | \(0.706645\pi\) | |||||||
\(434\) | −3.66122e14 | − | 1.12681e15i | −0.0547883 | − | 0.168621i | ||||
\(435\) | 1.58813e15 | − | 5.16014e14i | 0.234396 | − | 0.0761599i | ||||
\(436\) | 3.24549e14 | − | 4.46704e14i | 0.0472457 | − | 0.0650281i | ||||
\(437\) | 3.02845e15 | + | 4.16830e15i | 0.434842 | + | 0.598509i | ||||
\(438\) | 9.14667e14 | − | 2.81506e15i | 0.129544 | − | 0.398697i | ||||
\(439\) | 1.02915e16i | 1.43778i | 0.695124 | + | 0.718890i | \(0.255350\pi\) | ||||
−0.695124 | + | 0.718890i | \(0.744650\pi\) | |||||||
\(440\) | 6.68321e14 | + | 1.16770e15i | 0.0921020 | + | 0.160922i | ||||
\(441\) | −2.16880e16 | −2.94841 | ||||||||
\(442\) | 2.82187e15 | + | 9.16880e14i | 0.378445 | + | 0.122964i | ||||
\(443\) | −9.57104e15 | + | 6.95377e15i | −1.26630 | + | 0.920021i | −0.999049 | − | 0.0436053i | \(-0.986116\pi\) |
−0.267252 | + | 0.963627i | \(0.586116\pi\) | |||||||
\(444\) | 2.58943e14 | + | 1.88133e14i | 0.0337992 | + | 0.0245566i | ||||
\(445\) | −1.34832e14 | − | 4.14970e14i | −0.0173633 | − | 0.0534387i | ||||
\(446\) | 6.81039e15 | − | 2.21283e15i | 0.865292 | − | 0.281151i | ||||
\(447\) | −6.91064e15 | + | 9.51168e15i | −0.866310 | + | 1.19237i | ||||
\(448\) | 7.96139e15 | + | 1.09579e16i | 0.984738 | + | 1.35538i | ||||
\(449\) | −4.28372e14 | + | 1.31839e15i | −0.0522809 | + | 0.160904i | −0.973788 | − | 0.227457i | \(-0.926959\pi\) |
0.921507 | + | 0.388361i | \(0.126959\pi\) | |||||||
\(450\) | − | 1.46571e16i | − | 1.76511i | ||||||
\(451\) | 5.91575e15 | − | 1.23415e15i | 0.702992 | − | 0.146660i | ||||
\(452\) | −7.31488e14 | −0.0857782 | ||||||||
\(453\) | 4.57996e15 | + | 1.48812e15i | 0.529996 | + | 0.172206i | ||||
\(454\) | −5.51986e15 | + | 4.01041e15i | −0.630366 | + | 0.457988i | ||||
\(455\) | −1.92760e15 | − | 1.40049e15i | −0.217245 | − | 0.157838i | ||||
\(456\) | −7.67866e15 | − | 2.36325e16i | −0.854076 | − | 2.62857i | ||||
\(457\) | 1.87517e15 | − | 6.09281e14i | 0.205847 | − | 0.0668837i | −0.204279 | − | 0.978913i | \(-0.565485\pi\) |
0.410126 | + | 0.912029i | \(0.365485\pi\) | |||||||
\(458\) | 2.33205e15 | − | 3.20979e15i | 0.252664 | − | 0.347763i | ||||
\(459\) | −3.58693e15 | − | 4.93699e15i | −0.383572 | − | 0.527941i | ||||
\(460\) | −1.20116e13 | + | 3.69679e13i | −0.00126781 | + | 0.00390192i | ||||
\(461\) | − | 1.23466e15i | − | 0.128630i | −0.997930 | − | 0.0643148i | \(-0.979514\pi\) | ||
0.997930 | − | 0.0643148i | \(-0.0204862\pi\) | |||||||
\(462\) | −1.91013e16 | − | 1.73297e16i | −1.96432 | − | 1.78213i | ||||
\(463\) | 1.31281e16 | 1.33264 | 0.666322 | − | 0.745664i | \(-0.267867\pi\) | ||||
0.666322 | + | 0.745664i | \(0.267867\pi\) | |||||||
\(464\) | 7.22587e15 | + | 2.34783e15i | 0.724073 | + | 0.235266i | ||||
\(465\) | −2.84551e14 | + | 2.06739e14i | −0.0281477 | + | 0.0204505i | ||||
\(466\) | 1.43313e16 | + | 1.04123e16i | 1.39949 | + | 1.01679i | ||||
\(467\) | −4.25342e15 | − | 1.30907e16i | −0.410051 | − | 1.26201i | −0.916604 | − | 0.399797i | \(-0.869081\pi\) |
0.506553 | − | 0.862209i | \(-0.330919\pi\) | |||||||
\(468\) | 8.42063e14 | − | 2.73603e14i | 0.0801437 | − | 0.0260403i | ||||
\(469\) | 6.94882e15 | − | 9.56423e15i | 0.652941 | − | 0.898696i | ||||
\(470\) | −1.72605e15 | − | 2.37570e15i | −0.160127 | − | 0.220396i | ||||
\(471\) | −2.83033e15 | + | 8.71086e15i | −0.259246 | + | 0.797876i | ||||
\(472\) | 1.59827e16i | 1.44544i | ||||||||
\(473\) | 2.69892e15 | + | 1.21384e15i | 0.241004 | + | 0.108392i | ||||
\(474\) | 1.12475e15 | 0.0991714 | ||||||||
\(475\) | −1.68464e16 | − | 5.47373e15i | −1.46672 | − | 0.476565i | ||||
\(476\) | 3.25650e14 | − | 2.36599e14i | 0.0279969 | − | 0.0203409i | ||||
\(477\) | 1.09935e16 | + | 7.98725e15i | 0.933311 | + | 0.678090i | ||||
\(478\) | 5.23851e13 | + | 1.61225e14i | 0.00439177 | + | 0.0135165i | ||||
\(479\) | 1.13468e16 | − | 3.68680e15i | 0.939420 | − | 0.305236i | 0.201011 | − | 0.979589i | \(-0.435577\pi\) |
0.738409 | + | 0.674353i | \(0.235577\pi\) | |||||||
\(480\) | 2.15253e14 | − | 2.96270e14i | 0.0175995 | − | 0.0242237i | ||||
\(481\) | −3.39582e15 | − | 4.67394e15i | −0.274204 | − | 0.377410i | ||||
\(482\) | −6.40378e15 | + | 1.97088e16i | −0.510687 | + | 1.57173i | ||||
\(483\) | − | 1.60186e16i | − | 1.26166i | ||||||
\(484\) | 6.08519e13 | + | 6.24175e14i | 0.00473372 | + | 0.0485550i | ||||
\(485\) | 3.27850e15 | 0.251898 | ||||||||
\(486\) | −4.98818e15 | − | 1.62076e15i | −0.378551 | − | 0.122999i | ||||
\(487\) | −1.12782e15 | + | 8.19412e14i | −0.0845410 | + | 0.0614227i | −0.629253 | − | 0.777201i | \(-0.716639\pi\) |
0.544712 | + | 0.838623i | \(0.316639\pi\) | |||||||
\(488\) | −1.95014e16 | − | 1.41686e16i | −1.44393 | − | 1.04908i | ||||
\(489\) | 7.40759e15 | + | 2.27982e16i | 0.541781 | + | 1.66743i | ||||
\(490\) | 3.66681e15 | − | 1.19142e15i | 0.264918 | − | 0.0860771i | ||||
\(491\) | 1.71919e14 | − | 2.36626e14i | 0.0122697 | − | 0.0168878i | −0.802838 | − | 0.596197i | \(-0.796678\pi\) |
0.815108 | + | 0.579309i | \(0.196678\pi\) | |||||||
\(492\) | −4.94923e14 | − | 6.81203e14i | −0.0348937 | − | 0.0480271i | ||||
\(493\) | 1.57352e15 | − | 4.84281e15i | 0.109595 | − | 0.337300i | ||||
\(494\) | 2.08633e16i | 1.43556i | ||||||||
\(495\) | −2.04674e15 | + | 4.55083e15i | −0.139133 | + | 0.309357i | ||||
\(496\) | −1.60032e15 | −0.107477 | ||||||||
\(497\) | 1.12953e16 | + | 3.67006e15i | 0.749478 | + | 0.243520i | ||||
\(498\) | 1.36091e16 | − | 9.88760e15i | 0.892183 | − | 0.648209i | ||||
\(499\) | −1.45935e16 | − | 1.06028e16i | −0.945267 | − | 0.686777i | 0.00441536 | − | 0.999990i | \(-0.498595\pi\) |
−0.949683 | + | 0.313213i | \(0.898595\pi\) | |||||||
\(500\) | −8.39935e13 | − | 2.58506e14i | −0.00537559 | − | 0.0165444i | ||||
\(501\) | −4.23303e15 | + | 1.37539e15i | −0.267685 | + | 0.0869763i | ||||
\(502\) | −4.43759e15 | + | 6.10781e15i | −0.277284 | + | 0.381648i | ||||
\(503\) | −7.42864e15 | − | 1.02247e16i | −0.458671 | − | 0.631307i | 0.515561 | − | 0.856853i | \(-0.327583\pi\) |
−0.974233 | + | 0.225546i | \(0.927583\pi\) | |||||||
\(504\) | −1.55587e16 | + | 4.78847e16i | −0.949270 | + | 2.92155i | ||||
\(505\) | 3.57455e15i | 0.215513i | ||||||||
\(506\) | 5.10302e15 | − | 5.62472e15i | 0.304036 | − | 0.335118i | ||||
\(507\) | 4.25792e15 | 0.250697 | ||||||||
\(508\) | −4.38294e14 | − | 1.42410e14i | −0.0255025 | − | 0.00828628i | ||||
\(509\) | −4.25692e15 | + | 3.09283e15i | −0.244787 | + | 0.177848i | −0.703413 | − | 0.710781i | \(-0.748342\pi\) |
0.458626 | + | 0.888629i | \(0.348342\pi\) | |||||||
\(510\) | 1.88495e15 | + | 1.36950e15i | 0.107122 | + | 0.0778289i | ||||
\(511\) | 2.23978e15 | + | 6.89333e15i | 0.125800 | + | 0.387172i | ||||
\(512\) | 1.82128e16 | − | 5.91769e15i | 1.01101 | − | 0.328498i | ||||
\(513\) | 2.52218e16 | − | 3.47148e16i | 1.38379 | − | 1.90463i | ||||
\(514\) | −1.63037e16 | − | 2.24402e16i | −0.884114 | − | 1.21688i | ||||
\(515\) | 1.73117e15 | − | 5.32801e15i | 0.0927892 | − | 0.285576i | ||||
\(516\) | − | 4.12336e14i | − | 0.0218450i | ||||||
\(517\) | −6.00952e15 | − | 2.88058e16i | −0.314700 | − | 1.50847i | ||||
\(518\) | 1.52820e16 | 0.791045 | ||||||||
\(519\) | 3.17117e16 | + | 1.03037e16i | 1.62261 | + | 0.527219i | ||||
\(520\) | −2.73751e15 | + | 1.98892e15i | −0.138464 | + | 0.100600i | ||||
\(521\) | −1.16578e16 | − | 8.46990e15i | −0.582896 | − | 0.423499i | 0.256871 | − | 0.966446i | \(-0.417308\pi\) |
−0.839767 | + | 0.542947i | \(0.817308\pi\) | |||||||
\(522\) | 9.15529e15 | + | 2.81771e16i | 0.452532 | + | 1.39275i | ||||
\(523\) | −2.92723e16 | + | 9.51114e15i | −1.43036 | + | 0.464753i | −0.918879 | − | 0.394540i | \(-0.870904\pi\) |
−0.511484 | + | 0.859293i | \(0.670904\pi\) | |||||||
\(524\) | 2.06845e13 | − | 2.84698e13i | 0.000999213 | − | 0.00137530i | ||||
\(525\) | 3.23700e16 | + | 4.45535e16i | 1.54592 | + | 2.12778i | ||||
\(526\) | 4.72491e15 | − | 1.45418e16i | 0.223090 | − | 0.686599i | ||||
\(527\) | 1.07254e15i | 0.0500669i | ||||||||
\(528\) | −3.02346e16 | + | 1.73044e16i | −1.39541 | + | 0.798644i | ||||
\(529\) | −1.71977e16 | −0.784758 | ||||||||
\(530\) | −2.29745e15 | − | 7.46488e14i | −0.103655 | − | 0.0336797i | ||||
\(531\) | −4.79557e16 | + | 3.48418e16i | −2.13930 | + | 1.55430i | ||||
\(532\) | 2.28983e15 | + | 1.66366e15i | 0.101003 | + | 0.0733830i | ||||
\(533\) | 4.69656e15 | + | 1.44545e16i | 0.204841 | + | 0.630436i | ||||
\(534\) | 1.12970e16 | − | 3.67061e15i | 0.487208 | − | 0.158304i | ||||
\(535\) | 6.67699e14 | − | 9.19009e14i | 0.0284746 | − | 0.0391920i | ||||
\(536\) | −9.86845e15 | − | 1.35828e16i | −0.416160 | − | 0.572795i | ||||
\(537\) | 1.06514e16 | − | 3.27815e16i | 0.444180 | − | 1.36705i | ||||
\(538\) | 1.48371e16i | 0.611863i | ||||||||
\(539\) | 3.84077e16 | + | 4.18317e15i | 1.56634 | + | 0.170598i | ||||
\(540\) | 3.23723e14 | 0.0130560 | ||||||||
\(541\) | −1.58472e16 | − | 5.14907e15i | −0.632076 | − | 0.205374i | −0.0245812 | − | 0.999698i | \(-0.507825\pi\) |
−0.607494 | + | 0.794324i | \(0.707825\pi\) | |||||||
\(542\) | 1.54807e16 | − | 1.12474e16i | 0.610655 | − | 0.443667i | ||||
\(543\) | −3.70736e16 | − | 2.69356e16i | −1.44633 | − | 1.05082i | ||||
\(544\) | −3.45083e14 | − | 1.06206e15i | −0.0133147 | − | 0.0409784i | ||||
\(545\) | −7.44321e15 | + | 2.41844e15i | −0.284041 | + | 0.0922905i | ||||
\(546\) | 3.81263e16 | − | 5.24764e16i | 1.43903 | − | 1.98065i | ||||
\(547\) | 1.28710e16 | + | 1.77154e16i | 0.480493 | + | 0.661342i | 0.978600 | − | 0.205774i | \(-0.0659711\pi\) |
−0.498106 | + | 0.867116i | \(0.665971\pi\) | |||||||
\(548\) | −3.76204e14 | + | 1.15784e15i | −0.0138912 | + | 0.0427528i | ||||
\(549\) | − | 8.94003e16i | − | 3.26516i | ||||||
\(550\) | −2.82704e15 | + | 2.59564e16i | −0.102131 | + | 0.937711i | ||||
\(551\) | 3.58050e16 | 1.27948 | ||||||||
\(552\) | −2.16356e16 | − | 7.02984e15i | −0.764777 | − | 0.248491i | ||||
\(553\) | −2.22821e15 | + | 1.61889e15i | −0.0779121 | + | 0.0566065i | ||||
\(554\) | −4.02770e16 | − | 2.92629e16i | −1.39315 | − | 1.01218i | ||||
\(555\) | −1.40191e15 | − | 4.31465e15i | −0.0479693 | − | 0.147634i | ||||
\(556\) | 5.65081e14 | − | 1.83606e14i | 0.0191277 | − | 0.00621496i | ||||
\(557\) | −7.35710e15 | + | 1.01262e16i | −0.246363 | + | 0.339089i | −0.914233 | − | 0.405188i | \(-0.867206\pi\) |
0.667870 | + | 0.744278i | \(0.267206\pi\) | |||||||
\(558\) | −3.66802e15 | − | 5.04860e15i | −0.121514 | − | 0.167250i | ||||
\(559\) | −2.29991e15 | + | 7.07841e15i | −0.0753773 | + | 0.231988i | ||||
\(560\) | − | 8.51290e15i | − | 0.276026i | ||||||
\(561\) | 1.15975e16 | + | 2.02634e16i | 0.372038 | + | 0.650032i | ||||
\(562\) | 2.27026e16 | 0.720538 | ||||||||
\(563\) | −2.70114e16 | − | 8.77654e15i | −0.848198 | − | 0.275596i | −0.147507 | − | 0.989061i | \(-0.547125\pi\) |
−0.700691 | + | 0.713465i | \(0.747125\pi\) | |||||||
\(564\) | −3.31701e15 | + | 2.40995e15i | −0.103056 | + | 0.0748744i | ||||
\(565\) | 8.38796e15 | + | 6.09421e15i | 0.257849 | + | 0.187338i | ||||
\(566\) | 6.75327e14 | + | 2.07844e15i | 0.0205407 | + | 0.0632178i | ||||
\(567\) | −3.19737e16 | + | 1.03889e16i | −0.962265 | + | 0.312659i | ||||
\(568\) | 9.91397e15 | − | 1.36454e16i | 0.295228 | − | 0.406347i | ||||
\(569\) | 3.43093e16 | + | 4.72228e16i | 1.01097 | + | 1.39148i | 0.918345 | + | 0.395782i | \(0.129526\pi\) |
0.0926267 | + | 0.995701i | \(0.470474\pi\) | |||||||
\(570\) | −5.06266e15 | + | 1.55813e16i | −0.147615 | + | 0.454311i | ||||
\(571\) | − | 3.99096e16i | − | 1.15149i | −0.817629 | − | 0.575745i | \(-0.804712\pi\) | ||
0.817629 | − | 0.575745i | \(-0.195288\pi\) | |||||||
\(572\) | −1.54400e15 | + | 3.22111e14i | −0.0440829 | + | 0.00919666i | ||||
\(573\) | 4.14849e16 | 1.17209 | ||||||||
\(574\) | −3.82347e16 | − | 1.24232e16i | −1.06902 | − | 0.347346i | ||||
\(575\) | −1.31196e16 | + | 9.53191e15i | −0.363004 | + | 0.263738i | ||||
\(576\) | 5.77161e16 | + | 4.19332e16i | 1.58038 | + | 1.14822i | ||||
\(577\) | 1.11833e16 | + | 3.44187e16i | 0.303050 | + | 0.932694i | 0.980397 | + | 0.197030i | \(0.0631296\pi\) |
−0.677347 | + | 0.735664i | \(0.736870\pi\) | |||||||
\(578\) | −2.78299e16 | + | 9.04247e15i | −0.746353 | + | 0.242505i | ||||
\(579\) | −1.28754e16 | + | 1.77215e16i | −0.341735 | + | 0.470357i | ||||
\(580\) | 1.58774e14 | + | 2.18534e14i | 0.00417073 | + | 0.00574051i | ||||
\(581\) | −1.27291e16 | + | 3.91760e16i | −0.330933 | + | 1.01851i | ||||
\(582\) | 8.92527e16i | 2.29659i | ||||||||
\(583\) | −1.79280e16 | − | 1.62652e16i | −0.456584 | − | 0.414236i | ||||
\(584\) | 1.02934e16 | 0.259468 | ||||||||
\(585\) | −1.19354e16 | − | 3.87804e15i | −0.297784 | − | 0.0967558i | ||||
\(586\) | −1.37048e16 | + | 9.95710e15i | −0.338443 | + | 0.245893i | ||||
\(587\) | 1.36941e16 | + | 9.94937e15i | 0.334739 | + | 0.243202i | 0.742439 | − | 0.669914i | \(-0.233669\pi\) |
−0.407700 | + | 0.913116i | \(0.633669\pi\) | |||||||
\(588\) | −1.66349e15 | − | 5.11969e15i | −0.0402490 | − | 0.123874i | ||||
\(589\) | −7.17256e15 | + | 2.33050e15i | −0.171784 | + | 0.0558159i | ||||
\(590\) | 6.19388e15 | − | 8.52514e15i | 0.146842 | − | 0.202111i | ||||
\(591\) | 3.32947e16 | + | 4.58262e16i | 0.781358 | + | 1.07545i | ||||
\(592\) | 6.37860e15 | − | 1.96313e16i | 0.148182 | − | 0.456057i | ||||
\(593\) | 6.74892e15i | 0.155205i | 0.996984 | + | 0.0776025i | \(0.0247265\pi\) | ||||
−0.996984 | + | 0.0776025i | \(0.975273\pi\) | |||||||
\(594\) | −5.76846e16 | − | 2.59437e16i | −1.31323 | − | 0.590626i | ||||
\(595\) | −5.70539e15 | −0.128583 | ||||||||
\(596\) | −1.80879e15 | − | 5.87711e14i | −0.0403562 | − | 0.0131125i | ||||
\(597\) | 9.41526e16 | − | 6.84059e16i | 2.07963 | − | 1.51094i | ||||
\(598\) | 1.54526e16 | + | 1.12270e16i | 0.337904 | + | 0.245502i | ||||
\(599\) | 8.39583e15 | + | 2.58397e16i | 0.181762 | + | 0.559406i | 0.999878 | − | 0.0156481i | \(-0.00498114\pi\) |
−0.818116 | + | 0.575054i | \(0.804981\pi\) | |||||||
\(600\) | 7.43822e16 | − | 2.41682e16i | 1.59427 | − | 0.518009i | ||||
\(601\) | −2.56733e16 | + | 3.53363e16i | −0.544798 | + | 0.749850i | −0.989295 | − | 0.145930i | \(-0.953382\pi\) |
0.444497 | + | 0.895780i | \(0.353382\pi\) | |||||||
\(602\) | −1.15718e16 | − | 1.59272e16i | −0.243121 | − | 0.334628i | ||||
\(603\) | 1.92417e16 | − | 5.92200e16i | 0.400258 | − | 1.23187i | ||||
\(604\) | 7.78999e14i | 0.0160441i | ||||||||
\(605\) | 4.50237e15 | − | 7.66437e15i | 0.0918140 | − | 0.156295i | ||||
\(606\) | −9.73121e16 | −1.96486 | ||||||||
\(607\) | −2.63560e16 | − | 8.56359e15i | −0.526923 | − | 0.171208i | 0.0334617 | − | 0.999440i | \(-0.489347\pi\) |
−0.560385 | + | 0.828232i | \(0.689347\pi\) | |||||||
\(608\) | 6.35261e15 | − | 4.61544e15i | 0.125757 | − | 0.0913675i | ||||
\(609\) | −9.00585e16 | − | 6.54313e16i | −1.76531 | − | 1.28257i | ||||
\(610\) | 4.91115e15 | + | 1.51150e16i | 0.0953244 | + | 0.293378i | ||||
\(611\) | 7.03841e16 | − | 2.28692e16i | 1.35278 | − | 0.439545i | ||||
\(612\) | 1.24618e15 | − | 1.71522e15i | 0.0237177 | − | 0.0326447i | ||||
\(613\) | −2.59993e16 | − | 3.57849e16i | −0.490003 | − | 0.674431i | 0.490386 | − | 0.871505i | \(-0.336856\pi\) |
−0.980389 | + | 0.197075i | \(0.936856\pi\) | |||||||
\(614\) | 2.43503e15 | − | 7.49426e15i | 0.0454459 | − | 0.139868i | ||||
\(615\) | 1.19347e16i | 0.220577i | ||||||||
\(616\) | 3.67891e16 | − | 8.17989e16i | 0.673341 | − | 1.49714i | ||||
\(617\) | −7.84893e16 | −1.42265 | −0.711327 | − | 0.702861i | \(-0.751906\pi\) | ||||
−0.711327 | + | 0.702861i | \(0.751906\pi\) | |||||||
\(618\) | 1.45048e17 | + | 4.71288e16i | 2.60363 | + | 0.845972i | ||||
\(619\) | −5.60136e16 | + | 4.06962e16i | −0.995748 | + | 0.723453i | −0.961172 | − | 0.275949i | \(-0.911008\pi\) |
−0.0345754 | + | 0.999402i | \(0.511008\pi\) | |||||||
\(620\) | −4.60301e13 | − | 3.34429e13i | −0.000810386 | − | 0.000588780i | ||||
\(621\) | −1.21395e16 | − | 3.73614e16i | −0.211665 | − | 0.651439i | ||||
\(622\) | 2.24347e16 | − | 7.28947e15i | 0.387416 | − | 0.125879i | ||||
\(623\) | −1.70969e16 | + | 2.35318e16i | −0.292407 | + | 0.402464i | ||||
\(624\) | −5.14978e16 | − | 7.08806e16i | −0.872330 | − | 1.20066i | ||||
\(625\) | 1.66231e16 | − | 5.11607e16i | 0.278890 | − | 0.858334i | ||||
\(626\) | 9.43186e15i | 0.156730i | ||||||||
\(627\) | −1.10310e17 | + | 1.21587e17i | −1.81555 | + | 2.00116i | ||||
\(628\) | −1.48162e15 | −0.0241534 | ||||||||
\(629\) | −1.31570e16 | − | 4.27497e15i | −0.212448 | − | 0.0690286i | ||||
\(630\) | 2.68560e16 | − | 1.95120e16i | 0.429534 | − | 0.312075i | ||||
\(631\) | 6.57769e16 | + | 4.77897e16i | 1.04207 | + | 0.757109i | 0.970689 | − | 0.240340i | \(-0.0772589\pi\) |
0.0713826 | + | 0.997449i | \(0.477259\pi\) | |||||||
\(632\) | 1.20870e15 | + | 3.72000e15i | 0.0189678 | + | 0.0583768i | ||||
\(633\) | −4.15354e16 | + | 1.34957e16i | −0.645649 | + | 0.209784i | ||||
\(634\) | 1.88452e16 | − | 2.59382e16i | 0.290179 | − | 0.399397i | ||||
\(635\) | 3.83946e15 | + | 5.28456e15i | 0.0585635 | + | 0.0806058i | ||||
\(636\) | −1.04227e15 | + | 3.20776e15i | −0.0157484 | + | 0.0484685i | ||||
\(637\) | 9.71663e16i | 1.45438i | ||||||||
\(638\) | −1.07785e16 | − | 5.16651e16i | −0.159821 | − | 0.766079i | ||||
\(639\) | 6.25547e16 | 0.918872 | ||||||||
\(640\) | −1.09068e16 | − | 3.54384e15i | −0.158715 | − | 0.0515697i | ||||
\(641\) | 3.76757e15 | − | 2.73730e15i | 0.0543141 | − | 0.0394615i | −0.560297 | − | 0.828292i | \(-0.689313\pi\) |
0.614611 | + | 0.788830i | \(0.289313\pi\) | |||||||
\(642\) | 2.50187e16 | + | 1.81772e16i | 0.357318 | + | 0.259607i | ||||
\(643\) | −1.57701e16 | − | 4.85355e16i | −0.223136 | − | 0.686742i | −0.998475 | − | 0.0551971i | \(-0.982421\pi\) |
0.775340 | − | 0.631545i | \(-0.217579\pi\) | |||||||
\(644\) | 2.46441e15 | − | 8.00735e14i | 0.0345460 | − | 0.0112247i | ||||
\(645\) | −3.43527e15 | + | 4.72825e15i | −0.0477093 | + | 0.0656662i | ||||
\(646\) | 2.93648e16 | + | 4.04171e16i | 0.404047 | + | 0.556123i | ||||
\(647\) | 3.08550e16 | − | 9.49620e16i | 0.420630 | − | 1.29457i | −0.486488 | − | 0.873687i | \(-0.661722\pi\) |
0.907117 | − | 0.420878i | \(-0.138278\pi\) | |||||||
\(648\) | 4.77447e16i | 0.644874i | ||||||||
\(649\) | 9.16457e16 | − | 5.24523e16i | 1.22643 | − | 0.701934i | ||||
\(650\) | −6.56663e16 | −0.870688 | ||||||||
\(651\) | 2.22996e16 | + | 7.24558e15i | 0.292962 | + | 0.0951891i | ||||
\(652\) | −3.13714e15 | + | 2.27926e15i | −0.0408365 | + | 0.0296694i | ||||
\(653\) | 7.19848e16 | + | 5.23000e16i | 0.928457 | + | 0.674564i | 0.945615 | − | 0.325289i | \(-0.105462\pi\) |
−0.0171575 | + | 0.999853i | \(0.505462\pi\) | |||||||
\(654\) | −6.58388e16 | − | 2.02631e17i | −0.841425 | − | 2.58964i | ||||
\(655\) | −4.74378e14 | + | 1.54135e14i | −0.00600727 | + | 0.00195188i | ||||
\(656\) | −3.19179e16 | + | 4.39312e16i | −0.400508 | + | 0.551251i | ||||
\(657\) | 2.24394e16 | + | 3.08852e16i | 0.279009 | + | 0.384023i | ||||
\(658\) | −6.04929e16 | + | 1.86178e17i | −0.745330 | + | 2.29389i | ||||
\(659\) | − | 4.32885e16i | − | 0.528518i | −0.964452 | − | 0.264259i | \(-0.914873\pi\) | ||
0.964452 | − | 0.264259i | \(-0.0851274\pi\) | |||||||
\(660\) | −1.23126e15 | − | 1.34102e14i | −0.0148966 | − | 0.00162246i | ||||
\(661\) | −6.92164e15 | −0.0829851 | −0.0414926 | − | 0.999139i | \(-0.513211\pi\) | ||||
−0.0414926 | + | 0.999139i | \(0.513211\pi\) | |||||||
\(662\) | 1.77671e15 | + | 5.77287e14i | 0.0211090 | + | 0.00685873i | ||||
\(663\) | −4.75045e16 | + | 3.45141e16i | −0.559312 | + | 0.406364i | ||||
\(664\) | 4.73271e16 | + | 3.43852e16i | 0.552207 | + | 0.401202i | ||||
\(665\) | −1.23971e16 | − | 3.81544e16i | −0.143348 | − | 0.441179i | ||||
\(666\) | 7.65518e16 | − | 2.48732e16i | 0.877223 | − | 0.285027i | ||||
\(667\) | 1.92674e16 | − | 2.65193e16i | 0.218810 | − | 0.301167i | ||||
\(668\) | −4.23200e14 | − | 5.82484e14i | −0.00476306 | − | 0.00655580i | ||||
\(669\) | −4.37920e16 | + | 1.34778e17i | −0.488471 | + | 1.50336i | ||||
\(670\) | 1.10694e16i | 0.122370i | ||||||||
\(671\) | −1.72435e16 | + | 1.58321e17i | −0.188925 | + | 1.73461i | ||||
\(672\) | −2.44128e16 | −0.265095 | ||||||||
\(673\) | −8.62410e16 | − | 2.80214e16i | −0.928162 | − | 0.301578i | −0.194351 | − | 0.980932i | \(-0.562260\pi\) |
−0.733811 | + | 0.679354i | \(0.762260\pi\) | |||||||
\(674\) | 4.94407e16 | − | 3.59208e16i | 0.527382 | − | 0.383166i | ||||
\(675\) | 1.09263e17 | + | 7.93844e16i | 1.15519 | + | 0.839291i | ||||
\(676\) | 2.12844e14 | + | 6.55067e14i | 0.00223039 | + | 0.00686444i | ||||
\(677\) | 8.35698e16 | − | 2.71535e16i | 0.867995 | − | 0.282029i | 0.159031 | − | 0.987274i | \(-0.449163\pi\) |
0.708964 | + | 0.705245i | \(0.249163\pi\) | |||||||
\(678\) | −1.65907e17 | + | 2.28351e17i | −1.70799 | + | 2.35085i | ||||
\(679\) | −1.28464e17 | − | 1.76816e17i | −1.31088 | − | 1.80427i | ||||
\(680\) | −2.50383e15 | + | 7.70601e15i | −0.0253252 | + | 0.0779428i | ||||
\(681\) | − | 1.35026e17i | − | 1.35374i | ||||||
\(682\) | 5.52199e15 | + | 9.64814e15i | 0.0548769 | + | 0.0958820i | ||||
\(683\) | −8.42450e16 | −0.829889 | −0.414944 | − | 0.909847i | \(-0.636199\pi\) | ||||
−0.414944 | + | 0.909847i | \(0.636199\pi\) | |||||||
\(684\) | 1.41782e16 | + | 4.60679e15i | 0.138448 | + | 0.0449844i | ||||
\(685\) | 1.39602e16 | − | 1.01427e16i | 0.135129 | − | 0.0981766i | ||||
\(686\) | −7.59630e16 | − | 5.51903e16i | −0.728882 | − | 0.529564i | ||||
\(687\) | 2.42632e16 | + | 7.46744e16i | 0.230785 | + | 0.710283i | ||||
\(688\) | −2.52903e16 | + | 8.21730e15i | −0.238464 | + | 0.0774816i | ||||
\(689\) | 3.57844e16 | − | 4.92530e16i | 0.334486 | − | 0.460381i | ||||
\(690\) | 8.81607e15 | + | 1.21343e16i | 0.0816922 | + | 0.112440i | ||||
\(691\) | 5.21521e16 | − | 1.60508e17i | 0.479075 | − | 1.47444i | −0.361306 | − | 0.932447i | \(-0.617669\pi\) |
0.840382 | − | 0.541995i | \(-0.182331\pi\) | |||||||
\(692\) | 5.39379e15i | 0.0491199i | ||||||||
\(693\) | 3.25634e17 | − | 6.79344e16i | 2.93988 | − | 0.613324i | ||||
\(694\) | 1.57227e17 | 1.40724 | ||||||||
\(695\) | −8.00945e15 | − | 2.60243e15i | −0.0710712 | − | 0.0230924i | ||||
\(696\) | −1.27898e17 | + | 9.29232e16i | −1.12514 | + | 0.817464i | ||||
\(697\) | 2.94429e16 | + | 2.13915e16i | 0.256793 | + | 0.186571i | ||||
\(698\) | −2.42180e16 | − | 7.45354e16i | −0.209414 | − | 0.644510i | ||||
\(699\) | −3.33411e17 | + | 1.08332e17i | −2.85836 | + | 0.928738i | ||||
\(700\) | −5.23630e15 | + | 7.20715e15i | −0.0445078 | + | 0.0612598i | ||||
\(701\) | 8.81270e16 | + | 1.21296e17i | 0.742679 | + | 1.02221i | 0.998460 | + | 0.0554750i | \(0.0176673\pi\) |
−0.255781 | + | 0.966735i | \(0.582333\pi\) | |||||||
\(702\) | 4.91565e16 | − | 1.51288e17i | 0.410732 | − | 1.26410i | ||||
\(703\) | − | 9.72755e16i | − | 0.805882i | ||||||
\(704\) | −9.41225e16 | − | 8.53925e16i | −0.773138 | − | 0.701429i | ||||
\(705\) | 5.81140e16 | 0.473311 | ||||||||
\(706\) | 1.06099e17 | + | 3.44737e16i | 0.856809 | + | 0.278394i | ||||
\(707\) | 1.92782e17 | − | 1.40064e17i | 1.54365 | − | 1.12153i | ||||
\(708\) | −1.19030e16 | − | 8.64805e15i | −0.0945056 | − | 0.0686623i | ||||
\(709\) | 5.44166e16 | + | 1.67477e17i | 0.428404 | + | 1.31849i | 0.899697 | + | 0.436515i | \(0.143788\pi\) |
−0.471293 | + | 0.881977i | \(0.656212\pi\) | |||||||
\(710\) | −1.05762e16 | + | 3.43641e15i | −0.0825616 | + | 0.0268259i | ||||
\(711\) | −8.52681e15 | + | 1.17361e16i | −0.0660038 | + | 0.0908464i | ||||
\(712\) | 2.42803e16 | + | 3.34190e16i | 0.186369 | + | 0.256516i | ||||
\(713\) | −2.13359e15 | + | 6.56650e15i | −0.0162395 | + | 0.0499801i | ||||
\(714\) | − | 1.55321e17i | − | 1.17231i | ||||||
\(715\) | 2.03886e16 | + | 9.16977e15i | 0.152599 | + | 0.0686313i | ||||
\(716\) | 5.57577e15 | 0.0413834 | ||||||||
\(717\) | −3.19064e15 | − | 1.03670e15i | −0.0234835 | − | 0.00763026i | ||||
\(718\) | −4.26369e16 | + | 3.09775e16i | −0.311200 | + | 0.226100i | ||||
\(719\) | −2.07376e17 | − | 1.50667e17i | −1.50102 | − | 1.09055i | −0.969975 | − | 0.243205i | \(-0.921801\pi\) |
−0.531040 | − | 0.847347i | \(-0.678199\pi\) | |||||||
\(720\) | −1.38557e16 | − | 4.26436e16i | −0.0994568 | − | 0.306097i | ||||
\(721\) | −3.55183e17 | + | 1.15406e17i | −2.52837 | + | 0.821518i | ||||
\(722\) | −1.25276e17 | + | 1.72428e17i | −0.884392 | + | 1.21726i | ||||
\(723\) | −2.41057e17 | − | 3.31787e17i | −1.68768 | − | 2.32289i | ||||
\(724\) | 2.29072e15 | − | 7.05010e15i | 0.0159052 | − | 0.0489513i | ||||
\(725\) | 1.12695e17i | 0.776025i | ||||||||
\(726\) | 2.08652e17 | + | 1.22571e17i | 1.42496 | + | 0.837081i | ||||
\(727\) | 7.85333e16 | 0.531921 | 0.265961 | − | 0.963984i | \(-0.414311\pi\) | ||||
0.265961 | + | 0.963984i | \(0.414311\pi\) | |||||||
\(728\) | 2.14532e17 | + | 6.97058e16i | 1.44113 | + | 0.468253i | ||||
\(729\) | 1.60528e17 | − | 1.16630e17i | 1.06951 | − | 0.777045i | ||||
\(730\) | −5.49050e15 | − | 3.98908e15i | −0.0362806 | − | 0.0263594i | ||||
\(731\) | 5.50727e15 | + | 1.69496e16i | 0.0360938 | + | 0.111085i | ||||
\(732\) | 2.11039e16 | − | 6.85707e15i | 0.137182 | − | 0.0445730i | ||||
\(733\) | 9.53044e16 | − | 1.31175e17i | 0.614454 | − | 0.845723i | −0.382481 | − | 0.923963i | \(-0.624930\pi\) |
0.996935 | + | 0.0782404i | \(0.0249302\pi\) | |||||||
\(734\) | −2.53816e16 | − | 3.49348e16i | −0.162309 | − | 0.223399i | ||||
\(735\) | −2.35782e16 | + | 7.25663e16i | −0.149550 | + | 0.460268i | ||||
\(736\) | − | 7.18877e15i | − | 0.0452260i | ||||||
\(737\) | −4.54978e16 | + | 1.01162e17i | −0.283913 | + | 0.631268i | ||||
\(738\) | −2.11749e17 | −1.31064 | ||||||||
\(739\) | 2.84429e17 | + | 9.24165e16i | 1.74625 | + | 0.567392i | 0.995634 | − | 0.0933442i | \(-0.0297557\pi\) |
0.750618 | + | 0.660736i | \(0.229756\pi\) | |||||||
\(740\) | 5.93715e14 | − | 4.31359e14i | 0.00361566 | − | 0.00262693i | ||||
\(741\) | −3.34032e17 | − | 2.42688e17i | −2.01780 | − | 1.46602i | ||||
\(742\) | 4.97635e16 | + | 1.53156e17i | 0.298186 | + | 0.917722i | ||||
\(743\) | 3.58782e16 | − | 1.16575e16i | 0.213254 | − | 0.0692905i | −0.200442 | − | 0.979706i | \(-0.564238\pi\) |
0.413696 | + | 0.910415i | \(0.364238\pi\) | |||||||
\(744\) | 1.95726e16 | − | 2.69393e16i | 0.115401 | − | 0.158836i | ||||
\(745\) | 1.58450e16 | + | 2.18087e16i | 0.0926732 | + | 0.127554i | ||||
\(746\) | −8.34466e15 | + | 2.56822e16i | −0.0484145 | + | 0.149005i | ||||
\(747\) | 2.16962e17i | 1.24871i | ||||||||
\(748\) | −2.53772e15 | + | 2.79716e15i | −0.0144888 | + | 0.0159701i | ||||
\(749\) | −7.57268e16 | −0.428903 | ||||||||
\(750\) | −9.97487e16 | − | 3.24103e16i | −0.560454 | − | 0.182102i | ||||
\(751\) | 9.11319e16 | − | 6.62112e16i | 0.507961 | − | 0.369056i | −0.304088 | − | 0.952644i | \(-0.598352\pi\) |
0.812050 | + | 0.583588i | \(0.198352\pi\) | |||||||
\(752\) | 2.13916e17 | + | 1.55419e17i | 1.18287 | + | 0.859403i | ||||
\(753\) | −4.61698e16 | − | 1.42096e17i | −0.253272 | − | 0.779492i | ||||
\(754\) | 1.26239e17 | − | 4.10174e16i | 0.687011 | − | 0.223223i | ||||
\(755\) | 6.49004e15 | − | 8.93277e15i | 0.0350401 | − | 0.0482286i | ||||
\(756\) | −1.26847e16 | − | 1.74590e16i | −0.0679438 | − | 0.0935166i | ||||
\(757\) | 3.42759e16 | − | 1.05490e17i | 0.182144 | − | 0.560580i | −0.817744 | − | 0.575582i | \(-0.804775\pi\) |
0.999887 | + | 0.0150020i | \(0.00477546\pi\) | |||||||
\(758\) | − | 1.19708e17i | − | 0.631113i | ||||||
\(759\) | 3.06946e16 | + | 1.47130e17i | 0.160551 | + | 0.769576i | ||||
\(760\) | −5.69739e16 | −0.295661 | ||||||||
\(761\) | −3.18272e17 | − | 1.03413e17i | −1.63867 | − | 0.532435i | −0.662427 | − | 0.749127i | \(-0.730473\pi\) |
−0.976240 | + | 0.216692i | \(0.930473\pi\) | |||||||
\(762\) | −1.43865e17 | + | 1.04524e17i | −0.734894 | + | 0.533932i | ||||
\(763\) | 4.22084e17 | + | 3.06662e17i | 2.13920 | + | 1.55422i | ||||
\(764\) | 2.07374e15 | + | 6.38231e15i | 0.0104278 | + | 0.0320936i | ||||
\(765\) | −2.85799e16 | + | 9.28618e15i | −0.142591 | + | 0.0463307i | ||||
\(766\) | 1.43318e17 | − | 1.97260e17i | 0.709459 | − | 0.976487i | ||||
\(767\) | 1.56098e17 | + | 2.14850e17i | 0.766698 | + | 1.05527i | ||||
\(768\) | −1.56872e16 | + | 4.82803e16i | −0.0764503 | + | 0.235290i | ||||
\(769\) | 3.89805e17i | 1.88491i | 0.334340 | + | 0.942453i | \(0.391487\pi\) | ||||
−0.334340 | + | 0.942453i | \(0.608513\pi\) | |||||||
\(770\) | −5.13232e16 | + | 2.93742e16i | −0.246246 | + | 0.140936i | ||||
\(771\) | 5.48928e17 | 2.61330 | ||||||||
\(772\) | −3.37000e15 | − | 1.09498e15i | −0.0159194 | − | 0.00517252i | ||||
\(773\) | 2.79132e16 | − | 2.02801e16i | 0.130838 | − | 0.0950590i | −0.520442 | − | 0.853897i | \(-0.674233\pi\) |
0.651279 | + | 0.758838i | \(0.274233\pi\) | |||||||
\(774\) | −8.38900e16 | − | 6.09497e16i | −0.390180 | − | 0.283482i | ||||
\(775\) | −7.33516e15 | − | 2.25753e16i | −0.0338532 | − | 0.104189i | ||||
\(776\) | −2.95194e17 | + | 9.59145e16i | −1.35188 | + | 0.439252i | ||||
\(777\) | −1.77765e17 | + | 2.44672e17i | −0.807829 | + | 1.11188i | ||||
\(778\) | −1.16554e17 | − | 1.60423e17i | −0.525594 | − | 0.723418i | ||||
\(779\) | −7.90784e16 | + | 2.43378e17i | −0.353861 | + | 1.08907i | ||||
\(780\) | − | 3.11492e15i | − | 0.0138318i | ||||||
\(781\) | −1.10779e17 | − | 1.20655e16i | −0.488149 | − | 0.0531667i | ||||
\(782\) | 4.57370e16 | 0.199999 | ||||||||
\(783\) | −2.59637e17 | − | 8.43610e16i | −1.12667 | − | 0.366076i | ||||
\(784\) | −2.80861e17 | + | 2.04057e17i | −1.20947 | + | 0.878730i | ||||
\(785\) | 1.69897e16 | + | 1.23437e16i | 0.0726052 | + | 0.0527507i | ||||
\(786\) | −4.19611e15 | − | 1.29143e16i | −0.0177956 | − | 0.0547691i | ||||
\(787\) | −1.06090e16 | + | 3.44707e15i | −0.0446505 | + | 0.0145078i | −0.331257 | − | 0.943541i | \(-0.607473\pi\) |
0.286607 | + | 0.958048i | \(0.407473\pi\) | |||||||
\(788\) | −5.38588e15 | + | 7.41303e15i | −0.0224957 | + | 0.0309627i | ||||
\(789\) | 1.77860e17 | + | 2.44803e17i | 0.737251 | + | 1.01474i | ||||
\(790\) | 7.96915e14 | − | 2.45265e15i | 0.00327831 | − | 0.0100896i | ||||
\(791\) | − | 6.91173e17i | − | 2.82181i | ||||||
\(792\) | 5.11500e16 | − | 4.69633e17i | 0.207250 | − | 1.90286i | ||||
\(793\) | −4.00530e17 | −1.61063 | ||||||||
\(794\) | 2.01499e17 | + | 6.54709e16i | 0.804172 | + | 0.261291i | ||||
\(795\) | 3.86763e16 | − | 2.81000e16i | 0.153194 | − | 0.111302i | ||||
\(796\) | 1.52305e16 | + | 1.10656e16i | 0.0598737 | + | 0.0435008i | ||||
\(797\) | −1.21228e17 | − | 3.73102e17i | −0.472992 | − | 1.45572i | −0.848647 | − | 0.528960i | \(-0.822582\pi\) |
0.375655 | − | 0.926760i | \(-0.377418\pi\) | |||||||
\(798\) | 1.03870e18 | − | 3.37494e17i | 4.02229 | − | 1.30692i | ||||
\(799\) | 1.04163e17 | − | 1.43367e17i | 0.400342 | − | 0.551023i | ||||
\(800\) | 1.45269e16 | + | 1.99946e16i | 0.0554157 | + | 0.0762732i | ||||
\(801\) | −4.73423e16 | + | 1.45705e17i | −0.179248 | + | 0.551669i | ||||
\(802\) | − | 4.84252e17i | − | 1.81981i | ||||||
\(803\) | −3.37812e16 | − | 5.90232e16i | −0.126003 | − | 0.220155i | ||||
\(804\) | 1.54554e16 | 0.0572193 | ||||||||
\(805\) | −3.49305e16 | − | 1.13496e16i | −0.128360 | − | 0.0417066i | ||||
\(806\) | −2.26187e16 | + | 1.64334e16i | −0.0825005 | + | 0.0599401i | ||||
\(807\) | −2.37549e17 | − | 1.72589e17i | −0.860026 | − | 0.624846i | ||||
\(808\) | −1.04575e17 | − | 3.21850e17i | −0.375804 | − | 1.15661i | ||||
\(809\) | −3.58108e16 | + | 1.16356e16i | −0.127739 | + | 0.0415049i | −0.372189 | − | 0.928157i | \(-0.621393\pi\) |
0.244450 | + | 0.969662i | \(0.421393\pi\) | |||||||
\(810\) | 1.85028e16 | − | 2.54669e16i | 0.0655129 | − | 0.0901708i | ||||
\(811\) | −1.93678e17 | − | 2.66575e17i | −0.680700 | − | 0.936903i | 0.319242 | − | 0.947673i | \(-0.396572\pi\) |
−0.999942 | + | 0.0107704i | \(0.996572\pi\) | |||||||
\(812\) | 5.56457e15 | − | 1.71260e16i | 0.0194131 | − | 0.0597474i | ||||
\(813\) | 3.78688e17i | 1.31141i | ||||||||
\(814\) | −1.40364e17 | + | 2.92831e16i | −0.482515 | + | 0.100663i | ||||
\(815\) | 5.49627e16 | 0.187552 | ||||||||
\(816\) | −1.99527e17 | − | 6.48302e16i | −0.675865 | − | 0.219602i | ||||
\(817\) | −1.01383e17 | + | 7.36590e16i | −0.340904 | + | 0.247681i | ||||
\(818\) | −2.73523e16 | − | 1.98726e16i | −0.0913008 | − | 0.0663339i | ||||
\(819\) | 2.58523e17 | + | 7.95653e17i | 0.856637 | + | 2.63646i | ||||
\(820\) | −1.83611e15 | + | 5.96588e14i | −0.00603970 | + | 0.00196242i | ||||
\(821\) | −4.42916e16 | + | 6.09622e16i | −0.144631 | + | 0.199068i | −0.875186 | − | 0.483786i | \(-0.839261\pi\) |
0.730555 | + | 0.682854i | \(0.239261\pi\) | |||||||
\(822\) | 2.76120e17 | + | 3.80046e17i | 0.895090 | + | 1.23199i | ||||
\(823\) | 1.73718e16 | − | 5.34648e16i | 0.0559043 | − | 0.172056i | −0.919206 | − | 0.393778i | \(-0.871168\pi\) |
0.975110 | + | 0.221722i | \(0.0711678\pi\) | |||||||
\(824\) | 5.30377e17i | 1.69442i | ||||||||
\(825\) | −3.82690e17 | − | 3.47195e17i | −1.21373 | − | 1.10116i | ||||
\(826\) | −7.02476e17 | −2.21183 | ||||||||
\(827\) | 8.54332e16 | + | 2.77589e16i | 0.267051 | + | 0.0867700i | 0.439482 | − | 0.898252i | \(-0.355162\pi\) |
−0.172431 | + | 0.985022i | \(0.555162\pi\) | |||||||
\(828\) | 1.10416e16 | − | 8.02223e15i | 0.0342651 | − | 0.0248950i | ||||
\(829\) | 2.82770e17 | + | 2.05444e17i | 0.871176 | + | 0.632946i | 0.930902 | − | 0.365268i | \(-0.119023\pi\) |
−0.0597262 | + | 0.998215i | \(0.519023\pi\) | |||||||
\(830\) | −1.19187e16 | − | 3.66819e16i | −0.0364552 | − | 0.112198i | ||||
\(831\) | 9.37028e17 | − | 3.04459e17i | 2.84542 | − | 0.924533i | ||||
\(832\) | 1.87869e17 | − | 2.58579e17i | 0.566388 | − | 0.779567i | ||||
\(833\) | 1.36760e17 | + | 1.88234e17i | 0.409345 | + | 0.563415i | ||||
\(834\) | 7.08475e16 | − | 2.18046e17i | 0.210537 | − | 0.647966i | ||||
\(835\) | 1.02051e16i | 0.0301092i | ||||||||
\(836\) | −2.42199e16 | − | 1.08929e16i | −0.0709472 | − | 0.0319086i | ||||
\(837\) | 5.75020e16 | 0.167236 | ||||||||
\(838\) | 1.52403e17 | + | 4.95186e16i | 0.440077 | + | 0.142990i | ||||
\(839\) | −3.54070e17 | + | 2.57247e17i | −1.01512 | + | 0.737528i | −0.965277 | − | 0.261229i | \(-0.915872\pi\) |
−0.0498436 | + | 0.998757i | \(0.515872\pi\) | |||||||
\(840\) | 1.43304e17 | + | 1.04116e17i | 0.407926 | + | 0.296375i | ||||
\(841\) | 3.89419e16 | + | 1.19851e17i | 0.110063 | + | 0.338739i | ||||
\(842\) | −2.28490e17 | + | 7.42408e16i | −0.641201 | + | 0.208339i | ||||
\(843\) | −2.64083e17 | + | 3.63479e17i | −0.735826 | + | 1.01278i | ||||
\(844\) | −4.15253e15 | − | 5.71546e15i | −0.0114884 | − | 0.0158124i | ||||
\(845\) | 3.01685e15 | − | 9.28489e15i | 0.00828729 | − | 0.0255057i | ||||
\(846\) | 1.03108e18i | 2.81235i | ||||||||
\(847\) | −5.89774e17 | + | 5.74981e16i | −1.59729 | + | 0.155723i | ||||
\(848\) | 2.17516e17 | 0.584948 | ||||||||
\(849\) | −4.11325e16 | − | 1.33648e16i | −0.109835 | − | 0.0356874i | ||||
\(850\) | −1.27211e17 | + | 9.24243e16i | −0.337296 | + | 0.245060i | ||||
\(851\) | −7.20479e16 | − | 5.23459e16i | −0.189690 | − | 0.137818i | ||||
\(852\) | 4.79800e15 | + | 1.47667e16i | 0.0125436 | + | 0.0386053i | ||||
\(853\) | −4.25135e17 | + | 1.38135e17i | −1.10365 | + | 0.358598i | −0.803507 | − | 0.595295i | \(-0.797035\pi\) |
−0.300145 | + | 0.953893i | \(0.597035\pi\) | |||||||
\(854\) | 6.22741e17 | − | 8.57129e17i | 1.60531 | − | 2.20953i | ||||
\(855\) | −1.24201e17 | − | 1.70948e17i | −0.317929 | − | 0.437591i | ||||
\(856\) | −3.32331e16 | + | 1.02281e17i | −0.0844749 | + | 0.259987i | ||||
\(857\) | − | 1.65332e17i | − | 0.417322i | −0.977988 | − | 0.208661i | \(-0.933090\pi\) | ||
0.977988 | − | 0.208661i | \(-0.0669105\pi\) | |||||||
\(858\) | −2.49634e17 | + | 5.55051e17i | −0.625721 | + | 1.39126i | ||||
\(859\) | 6.70994e17 | 1.67017 | 0.835083 | − | 0.550124i | \(-0.185420\pi\) | ||||
0.835083 | + | 0.550124i | \(0.185420\pi\) | |||||||
\(860\) | −8.99146e14 | − | 2.92150e14i | −0.00222249 | − | 0.000722131i | ||||
\(861\) | 6.43659e17 | − | 4.67646e17i | 1.57993 | − | 1.14788i | ||||
\(862\) | −8.45589e16 | − | 6.14356e16i | −0.206118 | − | 0.149753i | ||||
\(863\) | 9.50817e15 | + | 2.92631e16i | 0.0230161 | + | 0.0708363i | 0.961905 | − | 0.273384i | \(-0.0881431\pi\) |
−0.938889 | + | 0.344221i | \(0.888143\pi\) | |||||||
\(864\) | −5.69399e16 | + | 1.85009e16i | −0.136878 | + | 0.0444744i | ||||
\(865\) | 4.49370e16 | − | 6.18505e16i | 0.107277 | − | 0.147655i | ||||
\(866\) | −1.00955e16 | − | 1.38952e16i | −0.0239342 | − | 0.0329426i | ||||
\(867\) | 1.78951e17 | − | 5.50755e17i | 0.421327 | − | 1.29671i | ||||
\(868\) | 3.79291e15i | 0.00886858i | ||||||||
\(869\) | 1.73639e16 | − | 1.91391e16i | 0.0403208 | − | 0.0444429i | ||||
\(870\) | 1.04231e17 | 0.240372 | ||||||||
\(871\) | −2.65316e17 | − | 8.62065e16i | −0.607652 | − | 0.197438i | ||||
\(872\) | 5.99429e17 | − | 4.35510e17i | 1.36345 | − | 0.990603i | ||||
\(873\) | −9.31302e17 | − | 6.76631e17i | −2.10380 | − | 1.52850i | ||||
\(874\) | 9.93810e16 | + | 3.05863e17i | 0.222964 | + | 0.686213i | ||||
\(875\) | 2.44258e17 | − | 7.93643e16i | 0.544253 | − | 0.176839i | ||||
\(876\) | −5.56966e15 | + | 7.66597e15i | −0.0123255 | + | 0.0169646i | ||||
\(877\) | 3.00190e17 | + | 4.13176e17i | 0.659780 | + | 0.908109i | 0.999474 | − | 0.0324271i | \(-0.0103237\pi\) |
−0.339694 | + | 0.940536i | \(0.610324\pi\) | |||||||
\(878\) | −1.98509e17 | + | 6.10949e17i | −0.433325 | + | 1.33364i | ||||
\(879\) | − | 3.35244e17i | − | 0.726822i | ||||||
\(880\) | 1.63123e16 | + | 7.81907e16i | 0.0351252 | + | 0.168368i | ||||
\(881\) | −3.06441e17 | −0.655378 | −0.327689 | − | 0.944786i | \(-0.606270\pi\) | ||||
−0.327689 | + | 0.944786i | \(0.606270\pi\) | |||||||
\(882\) | −1.28749e18 | − | 4.18332e17i | −2.73485 | − | 0.888607i | ||||
\(883\) | 1.03592e17 | − | 7.52639e16i | 0.218555 | − | 0.158790i | −0.473121 | − | 0.880998i | \(-0.656873\pi\) |
0.691676 | + | 0.722208i | \(0.256873\pi\) | |||||||
\(884\) | −7.68452e15 | − | 5.58313e15i | −0.0161029 | − | 0.0116994i | ||||
\(885\) | 6.44427e16 | + | 1.98334e17i | 0.134126 | + | 0.412798i | ||||
\(886\) | −7.02307e17 | + | 2.28193e17i | −1.45186 | + | 0.471738i | ||||
\(887\) | 3.38004e16 | − | 4.65222e16i | 0.0694032 | − | 0.0955253i | −0.772904 | − | 0.634523i | \(-0.781197\pi\) |
0.842307 | + | 0.538997i | \(0.181197\pi\) | |||||||
\(888\) | 2.52455e17 | + | 3.47474e17i | 0.514880 | + | 0.708671i | ||||
\(889\) | 1.34562e17 | − | 4.14138e17i | 0.272590 | − | 0.838947i | ||||
\(890\) | − | 2.72351e16i | − | 0.0548011i | ||||||
\(891\) | 2.73771e17 | − | 1.56689e17i | 0.547168 | − | 0.313165i | ||||
\(892\) | −2.29242e16 | −0.0455099 | ||||||||
\(893\) | 1.18509e18 | + | 3.85060e17i | 2.33692 | + | 0.759310i | ||||
\(894\) | −5.93713e17 | + | 4.31358e17i | −1.16292 | + | 0.844914i | ||||
\(895\) | −6.39372e16 | − | 4.64531e16i | −0.124399 | − | 0.0903809i | ||||
\(896\) | 2.36245e17 | + | 7.27086e17i | 0.456577 | + | 1.40520i | ||||
\(897\) | −3.59498e17 | + | 1.16808e17i | −0.690148 | + | 0.224243i | ||||
\(898\) | −5.08601e16 | + | 7.00029e16i | −0.0969882 | + | 0.133493i | ||||
\(899\) | 2.82026e16 | + | 3.88175e16i | 0.0534233 | + | 0.0735309i | ||||
\(900\) | −1.44997e16 | + | 4.46254e16i | −0.0272837 | + | 0.0839705i | ||||
\(901\) | − | 1.45781e17i | − | 0.272490i | ||||||
\(902\) | 3.74990e17 | + | 4.08420e16i | 0.696274 | + | 0.0758346i | ||||
\(903\) | 3.89610e17 | 0.718627 | ||||||||
\(904\) | −9.33537e17 | − | 3.03324e17i | −1.71049 | − | 0.555772i | ||||
\(905\) | −8.50038e16 | + | 6.17589e16i | −0.154720 | + | 0.112411i | ||||
\(906\) | 2.43182e17 | + | 1.76682e17i | 0.439707 | + | 0.319465i | ||||
\(907\) | 4.84462e16 | + | 1.49102e17i | 0.0870193 | + | 0.267818i | 0.985092 | − | 0.172030i | \(-0.0550325\pi\) |
−0.898072 | + | 0.439848i | \(0.855032\pi\) | |||||||
\(908\) | 2.07733e16 | − | 6.74965e15i | 0.0370672 | − | 0.0120439i | ||||
\(909\) | 7.37729e17 | − | 1.01540e18i | 1.30772 | − | 1.79992i | ||||
\(910\) | −8.74175e16 | − | 1.20320e17i | −0.153939 | − | 0.211879i | ||||
\(911\) | 8.47195e16 | − | 2.60740e17i | 0.148208 | − | 0.456139i | −0.849201 | − | 0.528069i | \(-0.822916\pi\) |
0.997410 | + | 0.0719308i | \(0.0229161\pi\) | |||||||
\(912\) | − | 1.47519e18i | − | 2.56377i | ||||||
\(913\) | 4.18475e16 | − | 3.84222e17i | 0.0722511 | − | 0.663372i | ||||
\(914\) | 1.23071e17 | 0.211095 | ||||||||
\(915\) | −2.99126e17 | − | 9.71920e16i | −0.509715 | − | 0.165617i | ||||
\(916\) | −1.02755e16 | + | 7.46562e15i | −0.0173953 | + | 0.0126384i | ||||
\(917\) | 2.69007e16 | + | 1.95445e16i | 0.0452426 | + | 0.0328707i | ||||
\(918\) | −1.17708e17 | − | 3.62268e17i | −0.196675 | − | 0.605304i | ||||
\(919\) | 5.31349e17 | − | 1.72646e17i | 0.882038 | − | 0.286591i | 0.167235 | − | 0.985917i | \(-0.446516\pi\) |
0.714803 | + | 0.699326i | \(0.246516\pi\) | |||||||
\(920\) | −3.06588e16 | + | 4.21982e16i | −0.0505625 | + | 0.0695932i | ||||
\(921\) | 9.16618e16 | + | 1.26162e17i | 0.150186 | + | 0.206714i | ||||
\(922\) | 2.38149e16 | − | 7.32946e16i | 0.0387670 | − | 0.119313i | ||||
\(923\) | − | 2.80257e17i | − | 0.453258i | ||||||
\(924\) | 4.10130e16 | + | 7.16588e16i | 0.0659007 | + | 0.115143i | ||||
\(925\) | 3.06170e17 | 0.488779 | ||||||||
\(926\) | 7.79338e17 | + | 2.53222e17i | 1.23612 | + | 0.401639i | ||||
\(927\) | −1.59138e18 | + | 1.15620e18i | −2.50781 | + | 1.82203i | ||||
\(928\) | −4.04161e16 | − | 2.93640e16i | −0.0632801 | − | 0.0459756i | ||||
\(929\) | −8.82580e16 | − | 2.71630e17i | −0.137297 | − | 0.422555i | 0.858644 | − | 0.512573i | \(-0.171308\pi\) |
−0.995940 | + | 0.0900177i | \(0.971308\pi\) | |||||||
\(930\) | −2.08799e16 | + | 6.78429e15i | −0.0322724 | + | 0.0104859i | ||||
\(931\) | −9.61639e17 | + | 1.32358e18i | −1.47677 | + | 2.03260i | ||||
\(932\) | −3.33330e16 | − | 4.58789e16i | −0.0508603 | − | 0.0700032i | ||||
\(933\) | −1.44259e17 | + | 4.43984e17i | −0.218702 | + | 0.673096i | ||||
\(934\) | − | 8.59163e17i | − | 1.29418i | ||||||
\(935\) | 5.24038e16 | − | 1.09326e16i | 0.0784319 | − | 0.0163626i | ||||
\(936\) | 1.18811e18 | 1.76685 | ||||||||
\(937\) | 4.71056e17 | + | 1.53055e17i | 0.696041 | + | 0.226157i | 0.635605 | − | 0.772015i | \(-0.280751\pi\) |
0.0604361 | + | 0.998172i | \(0.480751\pi\) | |||||||
\(938\) | 5.96993e17 | − | 4.33741e17i | 0.876500 | − | 0.636815i | ||||
\(939\) | −1.51009e17 | − | 1.09714e17i | −0.220297 | − | 0.160055i | ||||
\(940\) | 2.90499e15 | + | 8.94065e15i | 0.00421093 | + | 0.0129599i | ||||
\(941\) | −1.12459e18 | + | 3.65403e17i | −1.61979 | + | 0.526301i | −0.971892 | − | 0.235428i | \(-0.924351\pi\) |
−0.647896 | + | 0.761729i | \(0.724351\pi\) | |||||||
\(942\) | −3.36041e17 | + | 4.62521e17i | −0.480936 | + | 0.661951i | ||||
\(943\) | 1.37706e17 | + | 1.89537e17i | 0.195832 | + | 0.269540i | ||||
\(944\) | −2.93209e17 | + | 9.02406e17i | −0.414330 | + | 1.27518i | ||||
\(945\) | 3.05882e17i | 0.429499i | ||||||||
\(946\) | 1.36806e17 | + | 1.24117e17i | 0.190880 | + | 0.173175i | ||||
\(947\) | −1.32625e18 | −1.83876 | −0.919380 | − | 0.393371i | \(-0.871309\pi\) | ||||
−0.919380 | + | 0.393371i | \(0.871309\pi\) | |||||||
\(948\) | −3.42446e15 | − | 1.11267e15i | −0.00471782 | − | 0.00153291i | ||||
\(949\) | 1.38371e17 | − | 1.00533e17i | 0.189430 | − | 0.137629i | ||||
\(950\) | −8.94495e17 | − | 6.49889e17i | −1.21685 | − | 0.884092i | ||||
\(951\) | 1.96070e17 | + | 6.03442e17i | 0.265051 | + | 0.815742i | ||||
\(952\) | 5.13709e17 | − | 1.66914e17i | 0.690074 | − | 0.224219i | ||||
\(953\) | 3.81159e17 | − | 5.24621e17i | 0.508802 | − | 0.700306i | −0.474914 | − | 0.880032i | \(-0.657521\pi\) |
0.983717 | + | 0.179726i | \(0.0575210\pi\) | |||||||
\(954\) | 4.98559e17 | + | 6.86208e17i | 0.661343 | + | 0.910260i | ||||
\(955\) | 2.93931e16 | − | 9.04627e16i | 0.0387459 | − | 0.119248i | ||||
\(956\) | − | 5.42693e14i | − | 0.000710897i | ||||||
\(957\) | 9.52563e17 | + | 4.28416e17i | 1.24000 | + | 0.557691i | ||||
\(958\) | 7.44708e17 | 0.963369 | ||||||||
\(959\) | −1.09402e18 | − | 3.55470e17i | −1.40642 | − | 0.456974i | ||||
\(960\) | 2.03052e17 | − | 1.47526e17i | 0.259405 | − | 0.188469i | ||||
\(961\) | 6.29056e17 | + | 4.57036e17i | 0.798637 | + | 0.580244i | ||||
\(962\) | −1.11436e17 | − | 3.42966e17i | −0.140597 | − | 0.432714i | ||||
\(963\) | −3.79337e17 | + | 1.23254e17i | −0.475629 | + | 0.154541i | ||||
\(964\) | 3.89944e16 | − | 5.36711e16i | 0.0485892 | − | 0.0668773i | ||||
\(965\) | 2.95212e16 | + | 4.06324e16i | 0.0365569 | + | 0.0503163i | ||||
\(966\) | 3.08977e17 | − | 9.50934e17i | 0.380245 | − | 1.17027i | ||||
\(967\) | 1.28081e18i | 1.56649i | 0.621715 | + | 0.783243i | \(0.286436\pi\) | ||||
−0.621715 | + | 0.783243i | \(0.713564\pi\) | |||||||
\(968\) | −1.81165e17 | + | 8.21815e17i | −0.220202 | + | 0.998899i | ||||
\(969\) | −9.88679e17 | −1.19430 | ||||||||
\(970\) | 1.94626e17 | + | 6.32379e16i | 0.233653 | + | 0.0759184i | ||||
\(971\) | 4.30192e17 | − | 3.12553e17i | 0.513272 | − | 0.372914i | −0.300792 | − | 0.953690i | \(-0.597251\pi\) |
0.814063 | + | 0.580776i | \(0.197251\pi\) | |||||||
\(972\) | 1.35838e16 | + | 9.86923e15i | 0.0161074 | + | 0.0117027i | ||||
\(973\) | 1.73487e17 | + | 5.33937e17i | 0.204451 | + | 0.629236i | ||||
\(974\) | −8.27579e16 | + | 2.68897e16i | −0.0969294 | + | 0.0314943i | ||||
\(975\) | 7.63851e17 | − | 1.05135e18i | 0.889162 | − | 1.22383i | ||||
\(976\) | −8.41145e17 | − | 1.15774e18i | −0.973133 | − | 1.33940i | ||||
\(977\) | −4.02753e17 | + | 1.23955e18i | −0.463097 | + | 1.42527i | 0.398263 | + | 0.917271i | \(0.369613\pi\) |
−0.861360 | + | 0.507995i | \(0.830387\pi\) | |||||||
\(978\) | 1.49628e18i | 1.70994i | ||||||||
\(979\) | 1.11943e17 | − | 2.48900e17i | 0.127145 | − | 0.282702i | ||||
\(980\) | −1.23427e16 | −0.0139333 | ||||||||
\(981\) | 2.61347e18 | + | 8.49168e17i | 2.93227 | + | 0.952751i | ||||
\(982\) | 1.47701e16 | − | 1.07311e16i | 0.0164707 | − | 0.0119667i | ||||
\(983\) | 3.48135e17 | + | 2.52935e17i | 0.385857 | + | 0.280341i | 0.763756 | − | 0.645506i | \(-0.223353\pi\) |
−0.377899 | + | 0.925847i | \(0.623353\pi\) | |||||||
\(984\) | −3.49156e17 | − | 1.07459e18i | −0.384635 | − | 1.18378i | ||||
\(985\) | 1.23520e17 | − | 4.01340e16i | 0.135244 | − | 0.0439435i | ||||
\(986\) | 1.86822e17 | − | 2.57139e17i | 0.203314 | − | 0.279838i | ||||
\(987\) | −2.27713e18 | − | 3.13420e18i | −2.46311 | − | 3.39019i | ||||
\(988\) | 2.06393e16 | − | 6.35211e16i | 0.0221898 | − | 0.0682931i | ||||
\(989\) | 1.14727e17i | 0.122600i | ||||||||
\(990\) | −2.09283e17 | + | 2.30678e17i | −0.222291 | + | 0.245017i | ||||
\(991\) | −4.26248e16 | −0.0450009 | −0.0225004 | − | 0.999747i | \(-0.507163\pi\) | ||||
−0.0225004 | + | 0.999747i | \(0.507163\pi\) | |||||||
\(992\) | 1.00075e16 | + | 3.25164e15i | 0.0105016 | + | 0.00341219i | ||||
\(993\) | −2.99099e16 | + | 2.17308e16i | −0.0311974 | + | 0.0226663i | ||||
\(994\) | 5.99746e17 | + | 4.35741e17i | 0.621798 | + | 0.451763i | ||||
\(995\) | −8.24576e16 | − | 2.53778e17i | −0.0849752 | − | 0.261527i | ||||
\(996\) | −5.12162e16 | + | 1.66412e16i | −0.0524628 | + | 0.0170462i | ||||
\(997\) | 8.62049e17 | − | 1.18651e18i | 0.877730 | − | 1.20809i | −0.0993147 | − | 0.995056i | \(-0.531665\pi\) |
0.977044 | − | 0.213035i | \(-0.0683349\pi\) | |||||||
\(998\) | −6.61818e17 | − | 9.10914e17i | −0.669815 | − | 0.921922i | ||||
\(999\) | −2.29193e17 | + | 7.05384e17i | −0.230573 | + | 0.709631i |
(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 | 11.13.d.a.2.8 | ✓ | 44 | |
11.6 | odd | 10 | inner | 11.13.d.a.6.8 | yes | 44 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
11.13.d.a.2.8 | ✓ | 44 | 1.1 | even | 1 | trivial | |
11.13.d.a.6.8 | yes | 44 | 11.6 | odd | 10 | inner |