Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,28,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 28, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 28);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 28 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(73.8968919741\) |
Analytic rank: | \(0\) |
Dimension: | \(106\) |
Relative dimension: | \(53\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.1 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.28.e.a.13.1 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11581.2 | + | 305.932i | −0.999651 | + | 0.0264070i | ||||
\(3\) | −2.33243e6 | + | 2.33243e6i | −0.844641 | + | 0.844641i | −0.989458 | − | 0.144818i | \(-0.953740\pi\) |
0.144818 | + | 0.989458i | \(0.453740\pi\) | |||||||
\(4\) | 1.34031e8 | − | 7.08611e6i | 0.998605 | − | 0.0527956i | ||||
\(5\) | −3.25506e9 | − | 3.25506e9i | −1.19252 | − | 1.19252i | −0.976359 | − | 0.216157i | \(-0.930648\pi\) |
−0.216157 | − | 0.976359i | \(-0.569352\pi\) | |||||||
\(6\) | 2.62988e10 | − | 2.77259e10i | 0.822042 | − | 0.866650i | ||||
\(7\) | − | 4.57721e11i | − | 1.78557i | −0.450481 | − | 0.892786i | \(-0.648748\pi\) | ||
0.450481 | − | 0.892786i | \(-0.351252\pi\) | |||||||
\(8\) | −1.55007e12 | + | 1.23070e11i | −0.996863 | + | 0.0791474i | ||||
\(9\) | − | 3.25487e12i | − | 0.426835i | ||||||
\(10\) | 3.86933e13 | + | 3.67017e13i | 1.22359 | + | 1.16061i | ||||
\(11\) | 7.31216e13 | + | 7.31216e13i | 0.638623 | + | 0.638623i | 0.950216 | − | 0.311593i | \(-0.100863\pi\) |
−0.311593 | + | 0.950216i | \(0.600863\pi\) | |||||||
\(12\) | −2.96089e14 | + | 3.29145e14i | −0.798869 | + | 0.888056i | ||||
\(13\) | −1.05155e15 | + | 1.05155e15i | −0.962928 | + | 0.962928i | −0.999337 | − | 0.0364094i | \(-0.988408\pi\) |
0.0364094 | + | 0.999337i | \(0.488408\pi\) | |||||||
\(14\) | 1.40031e14 | + | 5.30096e15i | 0.0471516 | + | 1.78495i | ||||
\(15\) | 1.51844e16 | 2.01449 | ||||||||
\(16\) | 1.79140e16 | − | 1.89951e15i | 0.994425 | − | 0.105444i | ||||
\(17\) | −3.52795e16 | −0.863896 | −0.431948 | − | 0.901898i | \(-0.642174\pi\) | ||||
−0.431948 | + | 0.901898i | \(0.642174\pi\) | |||||||
\(18\) | 9.95769e14 | + | 3.76953e16i | 0.0112714 | + | 0.426686i | ||||
\(19\) | −1.46140e17 | + | 1.46140e17i | −0.797251 | + | 0.797251i | −0.982661 | − | 0.185410i | \(-0.940639\pi\) |
0.185410 | + | 0.982661i | \(0.440639\pi\) | |||||||
\(20\) | −4.59343e17 | − | 4.13212e17i | −1.25381 | − | 1.12789i | ||||
\(21\) | 1.06760e18 | + | 1.06760e18i | 1.50817 | + | 1.50817i | ||||
\(22\) | −8.69206e17 | − | 8.24465e17i | −0.655264 | − | 0.621536i | ||||
\(23\) | − | 2.95092e18i | − | 1.22076i | −0.792108 | − | 0.610381i | \(-0.791016\pi\) | ||
0.792108 | − | 0.610381i | \(-0.208984\pi\) | |||||||
\(24\) | 3.32837e18 | − | 3.90248e18i | 0.775140 | − | 0.908842i | ||||
\(25\) | 1.37403e19i | 1.84419i | ||||||||
\(26\) | 1.18565e19 | − | 1.24999e19i | 0.937164 | − | 0.988020i | ||||
\(27\) | −1.01944e19 | − | 1.01944e19i | −0.484118 | − | 0.484118i | ||||
\(28\) | −3.24346e18 | − | 6.13486e19i | −0.0942704 | − | 1.78308i | ||||
\(29\) | −3.27394e19 | + | 3.27394e19i | −0.592512 | + | 0.592512i | −0.938309 | − | 0.345797i | \(-0.887608\pi\) |
0.345797 | + | 0.938309i | \(0.387608\pi\) | |||||||
\(30\) | −1.75854e20 | + | 4.64539e18i | −2.01379 | + | 0.0531968i | ||||
\(31\) | −7.52814e18 | −0.0553739 | −0.0276869 | − | 0.999617i | \(-0.508814\pi\) | ||||
−0.0276869 | + | 0.999617i | \(0.508814\pi\) | |||||||
\(32\) | −2.06884e20 | + | 2.74791e19i | −0.991294 | + | 0.131667i | ||||
\(33\) | −3.41102e20 | −1.07881 | ||||||||
\(34\) | 4.08579e20 | − | 1.07931e19i | 0.863595 | − | 0.0228129i | ||||
\(35\) | −1.48991e21 | + | 1.48991e21i | −2.12932 | + | 2.12932i | ||||
\(36\) | −2.30644e19 | − | 4.36253e20i | −0.0225350 | − | 0.426240i | ||||
\(37\) | −2.52539e20 | − | 2.52539e20i | −0.170453 | − | 0.170453i | 0.616725 | − | 0.787178i | \(-0.288459\pi\) |
−0.787178 | + | 0.616725i | \(0.788459\pi\) | |||||||
\(38\) | 1.64777e21 | − | 1.73718e21i | 0.775920 | − | 0.818026i | ||||
\(39\) | − | 4.90532e21i | − | 1.62666i | ||||||
\(40\) | 5.44616e21 | + | 4.64496e21i | 1.28316 | + | 1.09439i | ||||
\(41\) | 3.98696e21i | 0.673070i | 0.941671 | + | 0.336535i | \(0.109255\pi\) | ||||
−0.941671 | + | 0.336535i | \(0.890745\pi\) | |||||||
\(42\) | −1.26907e22 | − | 1.20375e22i | −1.54747 | − | 1.46781i | ||||
\(43\) | 1.03084e22 | + | 1.03084e22i | 0.914884 | + | 0.914884i | 0.996651 | − | 0.0817674i | \(-0.0260565\pi\) |
−0.0817674 | + | 0.996651i | \(0.526056\pi\) | |||||||
\(44\) | 1.03187e22 | + | 9.28238e21i | 0.671449 | + | 0.604016i | ||||
\(45\) | −1.05948e22 | + | 1.05948e22i | −0.509008 | + | 0.509008i | ||||
\(46\) | 9.02779e20 | + | 3.41752e22i | 0.0322367 | + | 1.22034i | ||||
\(47\) | −2.78056e22 | −0.742695 | −0.371348 | − | 0.928494i | \(-0.621104\pi\) | ||||
−0.371348 | + | 0.928494i | \(0.621104\pi\) | |||||||
\(48\) | −3.73526e22 | + | 4.62136e22i | −0.750870 | + | 0.928994i | ||||
\(49\) | −1.43796e23 | −2.18827 | ||||||||
\(50\) | −4.20358e21 | − | 1.59129e23i | −0.0486995 | − | 1.84354i | ||||
\(51\) | 8.22869e22 | − | 8.22869e22i | 0.729682 | − | 0.729682i | ||||
\(52\) | −1.33488e23 | + | 1.48391e23i | −0.910746 | + | 1.01242i | ||||
\(53\) | −3.83935e21 | − | 3.83935e21i | −0.0202550 | − | 0.0202550i | 0.696907 | − | 0.717162i | \(-0.254559\pi\) |
−0.717162 | + | 0.696907i | \(0.754559\pi\) | |||||||
\(54\) | 1.21182e23 | + | 1.14945e23i | 0.496733 | + | 0.471165i | ||||
\(55\) | − | 4.76030e23i | − | 1.52313i | ||||||
\(56\) | 5.63316e22 | + | 7.09498e23i | 0.141323 | + | 1.77997i | ||||
\(57\) | − | 6.81723e23i | − | 1.34678i | ||||||
\(58\) | 3.69145e23 | − | 3.89177e23i | 0.576659 | − | 0.607952i | ||||
\(59\) | −5.02923e23 | − | 5.02923e23i | −0.623734 | − | 0.623734i | 0.322750 | − | 0.946484i | \(-0.395393\pi\) |
−0.946484 | + | 0.322750i | \(0.895393\pi\) | |||||||
\(60\) | 2.03517e24 | − | 1.07598e23i | 2.01168 | − | 0.106356i | ||||
\(61\) | −1.45871e24 | + | 1.45871e24i | −1.15350 | + | 1.15350i | −0.167651 | + | 0.985846i | \(0.553618\pi\) |
−0.985846 | + | 0.167651i | \(0.946382\pi\) | |||||||
\(62\) | 8.71849e22 | − | 2.30310e21i | 0.0553546 | − | 0.00146226i | ||||
\(63\) | −1.48982e24 | −0.762145 | ||||||||
\(64\) | 2.38756e24 | − | 3.81533e23i | 0.987471 | − | 0.157798i | ||||
\(65\) | 6.84570e24 | 2.29661 | ||||||||
\(66\) | 3.95037e24 | − | 1.04354e23i | 1.07844 | − | 0.0284882i | ||||
\(67\) | −3.20060e24 | + | 3.20060e24i | −0.713216 | + | 0.713216i | −0.967207 | − | 0.253991i | \(-0.918257\pi\) |
0.253991 | + | 0.967207i | \(0.418257\pi\) | |||||||
\(68\) | −4.72853e24 | + | 2.49994e23i | −0.862692 | + | 0.0456100i | ||||
\(69\) | 6.88281e24 | + | 6.88281e24i | 1.03111 | + | 1.03111i | ||||
\(70\) | 1.67991e25 | − | 1.77108e25i | 2.07235 | − | 2.18481i | ||||
\(71\) | 2.21358e24i | 0.225480i | 0.993625 | + | 0.112740i | \(0.0359627\pi\) | ||||
−0.993625 | + | 0.112740i | \(0.964037\pi\) | |||||||
\(72\) | 4.00577e23 | + | 5.04527e24i | 0.0337829 | + | 0.425496i | ||||
\(73\) | − | 8.58412e24i | − | 0.600948i | −0.953790 | − | 0.300474i | \(-0.902855\pi\) | ||
0.953790 | − | 0.300474i | \(-0.0971449\pi\) | |||||||
\(74\) | 3.00196e24 | + | 2.84744e24i | 0.174895 | + | 0.165893i | ||||
\(75\) | −3.20482e25 | − | 3.20482e25i | −1.55767 | − | 1.55767i | ||||
\(76\) | −1.85516e25 | + | 2.06228e25i | −0.754048 | + | 0.838231i | ||||
\(77\) | 3.34693e25 | − | 3.34693e25i | 1.14031 | − | 1.14031i | ||||
\(78\) | 1.50069e24 | + | 5.68095e25i | 0.0429551 | + | 1.62609i | ||||
\(79\) | 2.53654e25 | 0.611329 | 0.305665 | − | 0.952139i | \(-0.401121\pi\) | ||||
0.305665 | + | 0.952139i | \(0.401121\pi\) | |||||||
\(80\) | −6.44941e25 | − | 5.21280e25i | −1.31161 | − | 1.06012i | ||||
\(81\) | 7.23759e25 | 1.24465 | ||||||||
\(82\) | −1.21974e24 | − | 4.61738e25i | −0.0177738 | − | 0.672835i | ||||
\(83\) | −4.74091e25 | + | 4.74091e25i | −0.586554 | + | 0.586554i | −0.936696 | − | 0.350143i | \(-0.886133\pi\) |
0.350143 | + | 0.936696i | \(0.386133\pi\) | |||||||
\(84\) | 1.50657e26 | + | 1.35526e26i | 1.58569 | + | 1.42644i | ||||
\(85\) | 1.14837e26 | + | 1.14837e26i | 1.03021 | + | 1.03021i | ||||
\(86\) | −1.22537e26 | − | 1.16230e26i | −0.938724 | − | 0.890406i | ||||
\(87\) | − | 1.52725e26i | − | 1.00092i | ||||||
\(88\) | −1.22342e26 | − | 1.04344e26i | −0.687165 | − | 0.586074i | ||||
\(89\) | − | 7.83314e25i | − | 0.377721i | −0.982004 | − | 0.188860i | \(-0.939521\pi\) | ||
0.982004 | − | 0.188860i | \(-0.0604794\pi\) | |||||||
\(90\) | 1.19459e26 | − | 1.25942e26i | 0.495389 | − | 0.522272i | ||||
\(91\) | 4.81315e26 | + | 4.81315e26i | 1.71938 | + | 1.71938i | ||||
\(92\) | −2.09105e25 | − | 3.95513e26i | −0.0644509 | − | 1.21906i | ||||
\(93\) | 1.75589e25 | − | 1.75589e25i | 0.0467710 | − | 0.0467710i | ||||
\(94\) | 3.22022e26 | − | 8.50660e24i | 0.742436 | − | 0.0196124i | ||||
\(95\) | 9.51389e26 | 1.90147 | ||||||||
\(96\) | 4.18450e26 | − | 5.46636e26i | 0.726076 | − | 0.948498i | ||||
\(97\) | −7.63225e26 | −1.15142 | −0.575711 | − | 0.817653i | \(-0.695275\pi\) | ||||
−0.575711 | + | 0.817653i | \(0.695275\pi\) | |||||||
\(98\) | 1.66533e27 | − | 4.39918e25i | 2.18750 | − | 0.0577856i | ||||
\(99\) | 2.38002e26 | − | 2.38002e26i | 0.272587 | − | 0.272587i | ||||
\(100\) | 9.73650e25 | + | 1.84161e27i | 0.0973650 | + | 1.84161i | ||||
\(101\) | 5.79920e26 | + | 5.79920e26i | 0.507025 | + | 0.507025i | 0.913612 | − | 0.406587i | \(-0.133281\pi\) |
−0.406587 | + | 0.913612i | \(0.633281\pi\) | |||||||
\(102\) | −9.27807e26 | + | 9.78156e26i | −0.710159 | + | 0.748696i | ||||
\(103\) | 1.50880e27i | 1.01235i | 0.862432 | + | 0.506173i | \(0.168940\pi\) | ||||
−0.862432 | + | 0.506173i | \(0.831060\pi\) | |||||||
\(104\) | 1.50055e27 | − | 1.75938e27i | 0.883694 | − | 1.03612i | ||||
\(105\) | − | 6.95022e27i | − | 3.59702i | ||||||
\(106\) | 4.56388e25 | + | 4.32897e25i | 0.0207829 | + | 0.0197131i | ||||
\(107\) | −2.05125e27 | − | 2.05125e27i | −0.822882 | − | 0.822882i | 0.163638 | − | 0.986520i | \(-0.447677\pi\) |
−0.986520 | + | 0.163638i | \(0.947677\pi\) | |||||||
\(108\) | −1.43860e27 | − | 1.29412e27i | −0.509002 | − | 0.457884i | ||||
\(109\) | 8.30595e26 | − | 8.30595e26i | 0.259497 | − | 0.259497i | −0.565353 | − | 0.824849i | \(-0.691260\pi\) |
0.824849 | + | 0.565353i | \(0.191260\pi\) | |||||||
\(110\) | 1.45633e26 | + | 5.51300e27i | 0.0402215 | + | 1.52260i | ||||
\(111\) | 1.17806e27 | 0.287943 | ||||||||
\(112\) | −8.69446e26 | − | 8.19960e27i | −0.188278 | − | 1.77562i | ||||
\(113\) | −3.54387e26 | −0.0680642 | −0.0340321 | − | 0.999421i | \(-0.510835\pi\) | ||||
−0.0340321 | + | 0.999421i | \(0.510835\pi\) | |||||||
\(114\) | 2.08561e26 | + | 7.89516e27i | 0.0355645 | + | 1.34631i | ||||
\(115\) | −9.60541e27 | + | 9.60541e27i | −1.45578 | + | 1.45578i | ||||
\(116\) | −4.15608e27 | + | 4.62007e27i | −0.560404 | + | 0.622968i | ||||
\(117\) | 3.42265e27 | + | 3.42265e27i | 0.411011 | + | 0.411011i | ||||
\(118\) | 5.97831e27 | + | 5.67059e27i | 0.639988 | + | 0.607046i | ||||
\(119\) | 1.61482e28i | 1.54255i | ||||||||
\(120\) | −2.35368e28 | + | 1.86874e27i | −2.00817 | + | 0.159442i | ||||
\(121\) | − | 2.41646e27i | − | 0.184322i | ||||||
\(122\) | 1.64474e28 | − | 1.73399e28i | 1.12263 | − | 1.18356i | ||||
\(123\) | −9.29931e27 | − | 9.29931e27i | −0.568502 | − | 0.568502i | ||||
\(124\) | −1.00900e27 | + | 5.33452e25i | −0.0552966 | + | 0.00292350i | ||||
\(125\) | 2.04733e28 | − | 2.04733e28i | 1.00671 | − | 1.00671i | ||||
\(126\) | 1.72540e28 | − | 4.55784e26i | 0.761879 | − | 0.0201260i | ||||
\(127\) | −2.55876e28 | −1.01550 | −0.507749 | − | 0.861505i | \(-0.669522\pi\) | ||||
−0.507749 | + | 0.861505i | \(0.669522\pi\) | |||||||
\(128\) | −2.75341e28 | + | 5.14904e27i | −0.982960 | + | 0.183819i | ||||
\(129\) | −4.80872e28 | −1.54550 | ||||||||
\(130\) | −7.92814e28 | + | 2.09432e27i | −2.29581 | + | 0.0606467i | ||||
\(131\) | 2.79898e28 | − | 2.79898e28i | 0.730866 | − | 0.730866i | −0.239925 | − | 0.970791i | \(-0.577123\pi\) |
0.970791 | + | 0.239925i | \(0.0771229\pi\) | |||||||
\(132\) | −4.57181e28 | + | 2.41709e27i | −1.07731 | + | 0.0569566i | ||||
\(133\) | 6.68913e28 | + | 6.68913e28i | 1.42355 | + | 1.42355i | ||||
\(134\) | 3.60876e28 | − | 3.80459e28i | 0.694134 | − | 0.731801i | ||||
\(135\) | 6.63669e28i | 1.15464i | ||||||||
\(136\) | 5.46855e28 | − | 4.34184e27i | 0.861186 | − | 0.0683752i | ||||
\(137\) | − | 3.84396e28i | − | 0.548342i | −0.961681 | − | 0.274171i | \(-0.911597\pi\) | ||
0.961681 | − | 0.274171i | \(-0.0884034\pi\) | |||||||
\(138\) | −8.18169e28 | − | 7.76055e28i | −1.05797 | − | 1.00352i | ||||
\(139\) | 4.45967e28 | + | 4.45967e28i | 0.523122 | + | 0.523122i | 0.918513 | − | 0.395391i | \(-0.129391\pi\) |
−0.395391 | + | 0.918513i | \(0.629391\pi\) | |||||||
\(140\) | −1.89136e29 | + | 2.10251e29i | −2.01393 | + | 2.23877i | ||||
\(141\) | 6.48546e28 | − | 6.48546e28i | 0.627310 | − | 0.627310i | ||||
\(142\) | −6.77204e26 | − | 2.56359e28i | −0.00595425 | − | 0.225401i | ||||
\(143\) | −1.53782e29 | −1.22989 | ||||||||
\(144\) | −6.18267e27 | − | 5.83077e28i | −0.0450072 | − | 0.424456i | ||||
\(145\) | 2.13137e29 | 1.41316 | ||||||||
\(146\) | 2.62615e27 | + | 9.94144e28i | 0.0158693 | + | 0.600739i | ||||
\(147\) | 3.35395e29 | − | 3.35395e29i | 1.84830 | − | 1.84830i | ||||
\(148\) | −3.56374e28 | − | 3.20584e28i | −0.179215 | − | 0.161216i | ||||
\(149\) | −1.57873e29 | − | 1.57873e29i | −0.724924 | − | 0.724924i | 0.244680 | − | 0.969604i | \(-0.421317\pi\) |
−0.969604 | + | 0.244680i | \(0.921317\pi\) | |||||||
\(150\) | 3.80961e29 | + | 3.61352e29i | 1.59826 | + | 1.51600i | ||||
\(151\) | 2.28490e29i | 0.876353i | 0.898889 | + | 0.438176i | \(0.144375\pi\) | ||||
−0.898889 | + | 0.438176i | \(0.855625\pi\) | |||||||
\(152\) | 2.08541e29 | − | 2.44512e29i | 0.731650 | − | 0.857851i | ||||
\(153\) | 1.14830e29i | 0.368741i | ||||||||
\(154\) | −3.77375e29 | + | 3.97854e29i | −1.10980 | + | 1.17002i | ||||
\(155\) | 2.45046e28 | + | 2.45046e28i | 0.0660342 | + | 0.0660342i | ||||
\(156\) | −3.47597e28 | − | 6.57463e29i | −0.0858803 | − | 1.62439i | ||||
\(157\) | 2.21273e29 | − | 2.21273e29i | 0.501515 | − | 0.501515i | −0.410394 | − | 0.911908i | \(-0.634609\pi\) |
0.911908 | + | 0.410394i | \(0.134609\pi\) | |||||||
\(158\) | −2.93761e29 | + | 7.76007e27i | −0.611116 | + | 0.0161434i | ||||
\(159\) | 1.79100e28 | 0.0342165 | ||||||||
\(160\) | 7.62866e29 | + | 5.83974e29i | 1.33915 | + | 1.02512i | ||||
\(161\) | −1.35070e30 | −2.17976 | ||||||||
\(162\) | −8.38199e29 | + | 2.21421e28i | −1.24421 | + | 0.0328674i | ||||
\(163\) | 5.65042e29 | − | 5.65042e29i | 0.771877 | − | 0.771877i | −0.206557 | − | 0.978434i | \(-0.566226\pi\) |
0.978434 | + | 0.206557i | \(0.0662260\pi\) | |||||||
\(164\) | 2.82520e28 | + | 5.34375e29i | 0.0355351 | + | 0.672131i | ||||
\(165\) | 1.11031e30 | + | 1.11031e30i | 1.28650 | + | 1.28650i | ||||
\(166\) | 5.34551e29 | − | 5.63558e29i | 0.570860 | − | 0.601838i | ||||
\(167\) | − | 3.86533e29i | − | 0.380640i | −0.981722 | − | 0.190320i | \(-0.939047\pi\) | ||
0.981722 | − | 0.190320i | \(-0.0609526\pi\) | |||||||
\(168\) | −1.78625e30 | − | 1.52347e30i | −1.62280 | − | 1.38407i | ||||
\(169\) | − | 1.01897e30i | − | 0.854459i | ||||||
\(170\) | −1.36508e30 | − | 1.29482e30i | −1.05706 | − | 1.00265i | ||||
\(171\) | 4.75667e29 | + | 4.75667e29i | 0.340295 | + | 0.340295i | ||||
\(172\) | 1.45468e30 | + | 1.30859e30i | 0.961910 | + | 0.865306i | ||||
\(173\) | 1.26544e30 | − | 1.26544e30i | 0.773781 | − | 0.773781i | −0.204984 | − | 0.978765i | \(-0.565714\pi\) |
0.978765 | + | 0.204984i | \(0.0657144\pi\) | |||||||
\(174\) | 4.67233e28 | + | 1.76873e30i | 0.0264313 | + | 1.00057i | ||||
\(175\) | 6.28921e30 | 3.29293 | ||||||||
\(176\) | 1.44879e30 | + | 1.17100e30i | 0.702401 | + | 0.567724i | ||||
\(177\) | 2.34607e30 | 1.05366 | ||||||||
\(178\) | 2.39641e28 | + | 9.07172e29i | 0.00997448 | + | 0.377589i | ||||
\(179\) | 2.23221e30 | − | 2.23221e30i | 0.861427 | − | 0.861427i | −0.130077 | − | 0.991504i | \(-0.541522\pi\) |
0.991504 | + | 0.130077i | \(0.0415224\pi\) | |||||||
\(180\) | −1.34495e30 | + | 1.49510e30i | −0.481424 | + | 0.535171i | ||||
\(181\) | 3.53051e30 | + | 3.53051e30i | 1.17267 | + | 1.17267i | 0.981570 | + | 0.191103i | \(0.0612063\pi\) |
0.191103 | + | 0.981570i | \(0.438794\pi\) | |||||||
\(182\) | −5.72146e30 | − | 5.42696e30i | −1.76418 | − | 1.67337i | ||||
\(183\) | − | 6.80469e30i | − | 1.94858i | ||||||
\(184\) | 3.63169e29 | + | 4.57412e30i | 0.0966202 | + | 1.21693i | ||||
\(185\) | 1.64406e30i | 0.406536i | ||||||||
\(186\) | −1.97981e29 | + | 2.08725e29i | −0.0455196 | + | 0.0479898i | ||||
\(187\) | −2.57969e30 | − | 2.57969e30i | −0.551704 | − | 0.551704i | ||||
\(188\) | −3.72679e30 | + | 1.97033e29i | −0.741659 | + | 0.0392111i | ||||
\(189\) | −4.66620e30 | + | 4.66620e30i | −0.864428 | + | 0.864428i | ||||
\(190\) | −1.10182e31 | + | 2.91060e29i | −1.90081 | + | 0.0502121i | ||||
\(191\) | 1.31825e30 | 0.211860 | 0.105930 | − | 0.994374i | \(-0.466218\pi\) | ||||
0.105930 | + | 0.994374i | \(0.466218\pi\) | |||||||
\(192\) | −4.67892e30 | + | 6.45872e30i | −0.700776 | + | 0.967341i | ||||
\(193\) | 7.20451e30 | 1.00596 | 0.502980 | − | 0.864298i | \(-0.332237\pi\) | ||||
0.502980 | + | 0.864298i | \(0.332237\pi\) | |||||||
\(194\) | 8.83906e30 | − | 2.33495e29i | 1.15102 | − | 0.0304056i | ||||
\(195\) | −1.59671e31 | + | 1.59671e31i | −1.93981 | + | 1.93981i | ||||
\(196\) | −1.92731e31 | + | 1.01896e30i | −2.18522 | + | 0.115531i | ||||
\(197\) | −6.67235e29 | − | 6.67235e29i | −0.0706293 | − | 0.0706293i | 0.670910 | − | 0.741539i | \(-0.265904\pi\) |
−0.741539 | + | 0.670910i | \(0.765904\pi\) | |||||||
\(198\) | −2.68353e30 | + | 2.82916e30i | −0.265293 | + | 0.279690i | ||||
\(199\) | − | 5.07434e30i | − | 0.468666i | −0.972156 | − | 0.234333i | \(-0.924709\pi\) | ||
0.972156 | − | 0.234333i | \(-0.0752905\pi\) | |||||||
\(200\) | −1.69101e30 | − | 2.12983e31i | −0.145963 | − | 1.83840i | ||||
\(201\) | − | 1.49303e31i | − | 1.20482i | ||||||
\(202\) | −6.89358e30 | − | 6.53875e30i | −0.520237 | − | 0.493459i | ||||
\(203\) | 1.49855e31 | + | 1.49855e31i | 1.05797 | + | 1.05797i | ||||
\(204\) | 1.04459e31 | − | 1.16121e31i | 0.690140 | − | 0.767188i | ||||
\(205\) | 1.29778e31 | − | 1.29778e31i | 0.802646 | − | 0.802646i | ||||
\(206\) | −4.61589e29 | − | 1.74737e31i | −0.0267330 | − | 1.01199i | ||||
\(207\) | −9.60486e30 | −0.521065 | ||||||||
\(208\) | −1.68400e31 | + | 2.08348e31i | −0.856025 | + | 1.05909i | ||||
\(209\) | −2.13720e31 | −1.01829 | ||||||||
\(210\) | 2.12629e30 | + | 8.04919e31i | 0.0949867 | + | 3.59577i | ||||
\(211\) | −2.32488e31 | + | 2.32488e31i | −0.974064 | + | 0.974064i | −0.999672 | − | 0.0256082i | \(-0.991848\pi\) |
0.0256082 | + | 0.999672i | \(0.491848\pi\) | |||||||
\(212\) | −5.41796e29 | − | 4.87384e29i | −0.0212962 | − | 0.0191574i | ||||
\(213\) | −5.16302e30 | − | 5.16302e30i | −0.190449 | − | 0.190449i | ||||
\(214\) | 2.43835e31 | + | 2.31284e31i | 0.844325 | + | 0.800865i | ||||
\(215\) | − | 6.71088e31i | − | 2.18203i | ||||||
\(216\) | 1.70566e31 | + | 1.45474e31i | 0.520916 | + | 0.444283i | ||||
\(217\) | 3.44579e30i | 0.0988740i | ||||||||
\(218\) | −9.36518e30 | + | 9.87339e30i | −0.252554 | + | 0.266259i | ||||
\(219\) | 2.00219e31 | + | 2.00219e31i | 0.507585 | + | 0.507585i | ||||
\(220\) | −3.37320e30 | − | 6.38026e31i | −0.0804149 | − | 1.52101i | ||||
\(221\) | 3.70980e31 | − | 3.70980e31i | 0.831870 | − | 0.831870i | ||||
\(222\) | −1.36433e31 | + | 3.60406e29i | −0.287843 | + | 0.00760372i | ||||
\(223\) | 9.24558e31 | 1.83577 | 0.917885 | − | 0.396846i | \(-0.129895\pi\) | ||||
0.917885 | + | 0.396846i | \(0.129895\pi\) | |||||||
\(224\) | 1.25777e31 | + | 9.46952e31i | 0.235101 | + | 1.77003i | ||||
\(225\) | 4.47228e31 | 0.787164 | ||||||||
\(226\) | 4.10423e30 | − | 1.08418e29i | 0.0680405 | − | 0.00179737i | ||||
\(227\) | 4.20968e29 | − | 4.20968e29i | 0.00657506 | − | 0.00657506i | −0.703812 | − | 0.710387i | \(-0.748520\pi\) |
0.710387 | + | 0.703812i | \(0.248520\pi\) | |||||||
\(228\) | −4.83076e30 | − | 9.13717e31i | −0.0711042 | − | 1.34490i | ||||
\(229\) | −9.87624e31 | − | 9.87624e31i | −1.37029 | − | 1.37029i | −0.860005 | − | 0.510286i | \(-0.829539\pi\) |
−0.510286 | − | 0.860005i | \(-0.670461\pi\) | |||||||
\(230\) | 1.08304e32 | − | 1.14181e32i | 1.41683 | − | 1.49371i | ||||
\(231\) | 1.56130e32i | 1.92630i | ||||||||
\(232\) | 4.67189e31 | − | 5.47774e31i | 0.543757 | − | 0.637549i | ||||
\(233\) | 3.06787e30i | 0.0336925i | 0.999858 | + | 0.0168462i | \(0.00536258\pi\) | ||||
−0.999858 | + | 0.0168462i | \(0.994637\pi\) | |||||||
\(234\) | −4.06855e31 | − | 3.85913e31i | −0.421722 | − | 0.400015i | ||||
\(235\) | 9.05088e31 | + | 9.05088e31i | 0.885675 | + | 0.885675i | ||||
\(236\) | −7.09708e31 | − | 6.38433e31i | −0.655795 | − | 0.589934i | ||||
\(237\) | −5.91630e31 | + | 5.91630e31i | −0.516354 | + | 0.516354i | ||||
\(238\) | −4.94023e30 | − | 1.87015e32i | −0.0407341 | − | 1.54201i | ||||
\(239\) | −6.57096e31 | −0.511985 | −0.255992 | − | 0.966679i | \(-0.582402\pi\) | ||||
−0.255992 | + | 0.966679i | \(0.582402\pi\) | |||||||
\(240\) | 2.72013e32 | − | 2.88429e31i | 2.00326 | − | 0.212416i | ||||
\(241\) | −1.93403e32 | −1.34658 | −0.673292 | − | 0.739377i | \(-0.735120\pi\) | ||||
−0.673292 | + | 0.739377i | \(0.735120\pi\) | |||||||
\(242\) | 7.39272e29 | + | 2.79855e31i | 0.00486740 | + | 0.184258i | ||||
\(243\) | −9.10733e31 | + | 9.10733e31i | −0.567161 | + | 0.567161i | ||||
\(244\) | −1.85175e32 | + | 2.05848e32i | −1.09099 | + | 1.21279i | ||||
\(245\) | 4.68065e32 | + | 4.68065e32i | 2.60954 | + | 2.60954i | ||||
\(246\) | 1.10542e32 | + | 1.04852e32i | 0.583316 | + | 0.553291i | ||||
\(247\) | − | 3.07346e32i | − | 1.53539i | ||||||
\(248\) | 1.16691e31 | − | 9.26487e29i | 0.0552002 | − | 0.00438270i | ||||
\(249\) | − | 2.21157e32i | − | 0.990854i | ||||||
\(250\) | −2.30842e32 | + | 2.43369e32i | −0.979770 | + | 1.03294i | ||||
\(251\) | −2.66170e32 | − | 2.66170e32i | −1.07044 | − | 1.07044i | −0.997323 | − | 0.0731219i | \(-0.976704\pi\) |
−0.0731219 | − | 0.997323i | \(-0.523296\pi\) | |||||||
\(252\) | −1.99682e32 | + | 1.05571e31i | −0.761082 | + | 0.0402379i | ||||
\(253\) | 2.15776e32 | − | 2.15776e32i | 0.779607 | − | 0.779607i | ||||
\(254\) | 2.96335e32 | − | 7.82805e30i | 1.01514 | − | 0.0268163i | ||||
\(255\) | −5.35698e32 | −1.74031 | ||||||||
\(256\) | 3.17302e32 | − | 6.80555e31i | 0.977763 | − | 0.209712i | ||||
\(257\) | −6.34528e32 | −1.85504 | −0.927520 | − | 0.373772i | \(-0.878064\pi\) | ||||
−0.927520 | + | 0.373772i | \(0.878064\pi\) | |||||||
\(258\) | 5.56907e32 | − | 1.47114e31i | 1.54496 | − | 0.0408120i | ||||
\(259\) | −1.15592e32 | + | 1.15592e32i | −0.304356 | + | 0.304356i | ||||
\(260\) | 9.17533e32 | − | 4.85094e31i | 2.29341 | − | 0.121251i | ||||
\(261\) | 1.06562e32 | + | 1.06562e32i | 0.252905 | + | 0.252905i | ||||
\(262\) | −3.15593e32 | + | 3.32719e32i | −0.711312 | + | 0.749912i | ||||
\(263\) | 4.34305e31i | 0.0929806i | 0.998919 | + | 0.0464903i | \(0.0148037\pi\) | ||||
−0.998919 | + | 0.0464903i | \(0.985196\pi\) | |||||||
\(264\) | 5.28731e32 | − | 4.19794e31i | 1.07543 | − | 0.0853853i | ||||
\(265\) | 2.49946e31i | 0.0483089i | ||||||||
\(266\) | −7.95146e32 | − | 7.54217e32i | −1.46064 | − | 1.38546i | ||||
\(267\) | 1.82703e32 | + | 1.82703e32i | 0.319038 | + | 0.319038i | ||||
\(268\) | −4.06298e32 | + | 4.51658e32i | −0.674567 | + | 0.749876i | ||||
\(269\) | −1.89230e32 | + | 1.89230e32i | −0.298768 | + | 0.298768i | −0.840531 | − | 0.541763i | \(-0.817757\pi\) |
0.541763 | + | 0.840531i | \(0.317757\pi\) | |||||||
\(270\) | −2.03037e31 | − | 7.68608e32i | −0.0304905 | − | 1.15423i | ||||
\(271\) | 8.92317e32 | 1.27478 | 0.637388 | − | 0.770543i | \(-0.280015\pi\) | ||||
0.637388 | + | 0.770543i | \(0.280015\pi\) | |||||||
\(272\) | −6.31996e32 | + | 6.70137e31i | −0.859080 | + | 0.0910927i | ||||
\(273\) | −2.24527e33 | −2.90451 | ||||||||
\(274\) | 1.17599e31 | + | 4.45177e32i | 0.0144801 | + | 0.548151i | ||||
\(275\) | −1.00471e33 | + | 1.00471e33i | −1.17774 | + | 1.17774i | ||||
\(276\) | 9.71279e32 | + | 8.73735e32i | 1.08411 | + | 0.975230i | ||||
\(277\) | −7.99909e31 | − | 7.99909e31i | −0.0850283 | − | 0.0850283i | 0.663313 | − | 0.748342i | \(-0.269150\pi\) |
−0.748342 | + | 0.663313i | \(0.769150\pi\) | |||||||
\(278\) | −5.30127e32 | − | 5.02839e32i | −0.536753 | − | 0.509125i | ||||
\(279\) | 2.45032e31i | 0.0236355i | ||||||||
\(280\) | 2.12610e33 | − | 2.49282e33i | 1.95411 | − | 2.29117i | ||||
\(281\) | − | 1.15405e33i | − | 1.01085i | −0.862870 | − | 0.505426i | \(-0.831335\pi\) | ||
0.862870 | − | 0.505426i | \(-0.168665\pi\) | |||||||
\(282\) | −7.31252e32 | + | 7.70934e32i | −0.610526 | + | 0.643657i | ||||
\(283\) | −4.10239e32 | − | 4.10239e32i | −0.326528 | − | 0.326528i | 0.524737 | − | 0.851265i | \(-0.324164\pi\) |
−0.851265 | + | 0.524737i | \(0.824164\pi\) | |||||||
\(284\) | 1.56857e31 | + | 2.96687e32i | 0.0119043 | + | 0.225165i | ||||
\(285\) | −2.21905e33 | + | 2.21905e33i | −1.60606 | + | 1.60606i | ||||
\(286\) | 1.78098e33 | − | 4.70467e31i | 1.22947 | − | 0.0324779i | ||||
\(287\) | 1.82492e33 | 1.20181 | ||||||||
\(288\) | 8.94409e31 | + | 6.73382e32i | 0.0562001 | + | 0.423119i | ||||
\(289\) | −4.23070e32 | −0.253683 | ||||||||
\(290\) | −2.46838e33 | + | 6.52054e31i | −1.41267 | + | 0.0373173i | ||||
\(291\) | 1.78017e33 | − | 1.78017e33i | 0.972537 | − | 0.972537i | ||||
\(292\) | −6.08280e31 | − | 1.15053e33i | −0.0317274 | − | 0.600110i | ||||
\(293\) | −5.20348e32 | − | 5.20348e32i | −0.259168 | − | 0.259168i | 0.565548 | − | 0.824716i | \(-0.308665\pi\) |
−0.824716 | + | 0.565548i | \(0.808665\pi\) | |||||||
\(294\) | −3.78167e33 | + | 3.98688e33i | −1.79885 | + | 1.89646i | ||||
\(295\) | 3.27409e33i | 1.48763i | ||||||||
\(296\) | 4.22532e32 | + | 3.60372e32i | 0.183409 | + | 0.156427i | ||||
\(297\) | − | 1.49086e33i | − | 0.618338i | ||||||
\(298\) | 1.87665e33 | + | 1.78006e33i | 0.743814 | + | 0.705528i | ||||
\(299\) | 3.10303e33 | + | 3.10303e33i | 1.17551 | + | 1.17551i | ||||
\(300\) | −4.52254e33 | − | 4.06834e33i | −1.63774 | − | 1.47326i | ||||
\(301\) | 4.71836e33 | − | 4.71836e33i | 1.63359 | − | 1.63359i | ||||
\(302\) | −6.99024e31 | − | 2.64619e33i | −0.0231419 | − | 0.876047i | ||||
\(303\) | −2.70525e33 | −0.856508 | ||||||||
\(304\) | −2.34035e33 | + | 2.89554e33i | −0.708741 | + | 0.876872i | ||||
\(305\) | 9.49639e33 | 2.75113 | ||||||||
\(306\) | −3.51302e31 | − | 1.32987e33i | −0.00973736 | − | 0.368613i | ||||
\(307\) | −3.95492e33 | + | 3.95492e33i | −1.04899 | + | 1.04899i | −0.0502504 | + | 0.998737i | \(0.516002\pi\) |
−0.998737 | + | 0.0502504i | \(0.983998\pi\) | |||||||
\(308\) | 4.24874e33 | − | 4.72307e33i | 1.07851 | − | 1.19892i | ||||
\(309\) | −3.51917e33 | − | 3.51917e33i | −0.855068 | − | 0.855068i | ||||
\(310\) | −2.91289e32 | − | 2.76295e32i | −0.0677549 | − | 0.0642674i | ||||
\(311\) | − | 1.43621e33i | − | 0.319854i | −0.987129 | − | 0.159927i | \(-0.948874\pi\) | ||
0.987129 | − | 0.159927i | \(-0.0511259\pi\) | |||||||
\(312\) | 6.03697e32 | + | 7.60358e33i | 0.128746 | + | 1.62155i | ||||
\(313\) | − | 1.23917e33i | − | 0.253094i | −0.991961 | − | 0.126547i | \(-0.959610\pi\) | ||
0.991961 | − | 0.126547i | \(-0.0403895\pi\) | |||||||
\(314\) | −2.49491e33 | + | 2.63030e33i | −0.488096 | + | 0.514583i | ||||
\(315\) | 4.84947e33 | + | 4.84947e33i | 0.908870 | + | 0.908870i | ||||
\(316\) | 3.39973e33 | − | 1.79742e32i | 0.610477 | − | 0.0322755i | ||||
\(317\) | 7.03040e33 | − | 7.03040e33i | 1.20971 | − | 1.20971i | 0.238586 | − | 0.971121i | \(-0.423316\pi\) |
0.971121 | − | 0.238586i | \(-0.0766838\pi\) | |||||||
\(318\) | −2.07420e32 | + | 5.47924e30i | −0.0342045 | + | 0.000903555i | ||||
\(319\) | −4.78791e33 | −0.756783 | ||||||||
\(320\) | −9.01356e33 | − | 6.52974e33i | −1.36575 | − | 0.989398i | ||||
\(321\) | 9.56880e33 | 1.39008 | ||||||||
\(322\) | 1.56427e34 | − | 4.13221e32i | 2.17900 | − | 0.0575610i | ||||
\(323\) | 5.15574e33 | − | 5.15574e33i | 0.688743 | − | 0.688743i | ||||
\(324\) | 9.70058e33 | − | 5.12863e32i | 1.24291 | − | 0.0657119i | ||||
\(325\) | −1.44485e34 | − | 1.44485e34i | −1.77582 | − | 1.77582i | ||||
\(326\) | −6.37100e33 | + | 6.71673e33i | −0.751225 | + | 0.791991i | ||||
\(327\) | 3.87461e33i | 0.438363i | ||||||||
\(328\) | −4.90675e32 | − | 6.18005e33i | −0.0532717 | − | 0.670958i | ||||
\(329\) | 1.27272e34i | 1.32614i | ||||||||
\(330\) | −1.31984e34 | − | 1.25190e34i | −1.32003 | − | 1.25208i | ||||
\(331\) | −1.93968e33 | − | 1.93968e33i | −0.186231 | − | 0.186231i | 0.607833 | − | 0.794065i | \(-0.292039\pi\) |
−0.794065 | + | 0.607833i | \(0.792039\pi\) | |||||||
\(332\) | −6.01832e33 | + | 6.69022e33i | −0.554768 | + | 0.616703i | ||||
\(333\) | −8.21982e32 | + | 8.21982e32i | −0.0727554 | + | 0.0727554i | ||||
\(334\) | 1.18253e32 | + | 4.47652e33i | 0.0100516 | + | 0.380507i | ||||
\(335\) | 2.08363e34 | 1.70104 | ||||||||
\(336\) | 2.11529e34 | + | 1.70971e34i | 1.65879 | + | 1.34073i | ||||
\(337\) | 1.39572e33 | 0.105147 | 0.0525733 | − | 0.998617i | \(-0.483258\pi\) | ||||
0.0525733 | + | 0.998617i | \(0.483258\pi\) | |||||||
\(338\) | 3.11735e32 | + | 1.18009e34i | 0.0225637 | + | 0.854161i | ||||
\(339\) | 8.26583e32 | − | 8.26583e32i | 0.0574898 | − | 0.0574898i | ||||
\(340\) | 1.62054e34 | + | 1.45779e34i | 1.08316 | + | 0.974382i | ||||
\(341\) | −5.50470e32 | − | 5.50470e32i | −0.0353630 | − | 0.0353630i | ||||
\(342\) | −5.65432e33 | − | 5.36327e33i | −0.349163 | − | 0.331190i | ||||
\(343\) | 3.57406e34i | 2.12174i | ||||||||
\(344\) | −1.72473e34 | − | 1.47100e34i | −0.984425 | − | 0.839603i | ||||
\(345\) | − | 4.48079e34i | − | 2.45922i | ||||||
\(346\) | −1.42681e34 | + | 1.50424e34i | −0.753078 | + | 0.793944i | ||||
\(347\) | 1.00271e34 | + | 1.00271e34i | 0.509010 | + | 0.509010i | 0.914222 | − | 0.405213i | \(-0.132803\pi\) |
−0.405213 | + | 0.914222i | \(0.632803\pi\) | |||||||
\(348\) | −1.08222e33 | − | 2.04698e34i | −0.0528442 | − | 0.999523i | ||||
\(349\) | −1.43790e34 | + | 1.43790e34i | −0.675436 | + | 0.675436i | −0.958964 | − | 0.283528i | \(-0.908495\pi\) |
0.283528 | + | 0.958964i | \(0.408495\pi\) | |||||||
\(350\) | −7.28365e34 | + | 1.92407e33i | −3.29178 | + | 0.0869564i | ||||
\(351\) | 2.14398e34 | 0.932341 | ||||||||
\(352\) | −1.71370e34 | − | 1.31184e34i | −0.717148 | − | 0.548977i | ||||
\(353\) | −1.48507e34 | −0.598118 | −0.299059 | − | 0.954235i | \(-0.596673\pi\) | ||||
−0.299059 | + | 0.954235i | \(0.596673\pi\) | |||||||
\(354\) | −2.71703e34 | + | 7.17736e32i | −1.05329 | + | 0.0278241i | ||||
\(355\) | 7.20533e33 | − | 7.20533e33i | 0.268888 | − | 0.268888i | ||||
\(356\) | −5.55065e32 | − | 1.04988e34i | −0.0199420 | − | 0.377194i | ||||
\(357\) | −3.76645e34 | − | 3.76645e34i | −1.30290 | − | 1.30290i | ||||
\(358\) | −2.51687e34 | + | 2.65345e34i | −0.838379 | + | 0.883875i | ||||
\(359\) | − | 1.54110e33i | − | 0.0494376i | −0.999694 | − | 0.0247188i | \(-0.992131\pi\) | ||
0.999694 | − | 0.0247188i | \(-0.00786904\pi\) | |||||||
\(360\) | 1.51188e34 | − | 1.77266e34i | 0.467124 | − | 0.547698i | ||||
\(361\) | − | 9.11314e33i | − | 0.271219i | ||||||
\(362\) | −4.19676e34 | − | 3.98074e34i | −1.20323 | − | 1.14130i | ||||
\(363\) | 5.63623e33 | + | 5.63623e33i | 0.155686 | + | 0.155686i | ||||
\(364\) | 6.79216e34 | + | 6.11003e34i | 1.80775 | + | 1.62620i | ||||
\(365\) | −2.79418e34 | + | 2.79418e34i | −0.716640 | + | 0.716640i | ||||
\(366\) | 2.08177e33 | + | 7.88064e34i | 0.0514562 | + | 1.94790i | ||||
\(367\) | −4.83897e34 | −1.15282 | −0.576410 | − | 0.817161i | \(-0.695547\pi\) | ||||
−0.576410 | + | 0.817161i | \(0.695547\pi\) | |||||||
\(368\) | −5.60530e33 | − | 5.28626e34i | −0.128722 | − | 1.21396i | ||||
\(369\) | 1.29771e34 | 0.287290 | ||||||||
\(370\) | −5.02970e32 | − | 1.90402e34i | −0.0107354 | − | 0.406394i | ||||
\(371\) | −1.75735e33 | + | 1.75735e33i | −0.0361668 | + | 0.0361668i | ||||
\(372\) | 2.22900e33 | − | 2.47785e33i | 0.0442365 | − | 0.0491751i | ||||
\(373\) | 7.21823e34 | + | 7.21823e34i | 1.38153 | + | 1.38153i | 0.841901 | + | 0.539632i | \(0.181437\pi\) |
0.539632 | + | 0.841901i | \(0.318563\pi\) | |||||||
\(374\) | 3.06651e34 | + | 2.90867e34i | 0.566080 | + | 0.536943i | ||||
\(375\) | 9.55051e34i | 1.70061i | ||||||||
\(376\) | 4.31005e34 | − | 3.42202e33i | 0.740365 | − | 0.0587824i | ||||
\(377\) | − | 6.88540e34i | − | 1.14109i | ||||||
\(378\) | 5.26126e34 | − | 5.54677e34i | 0.841299 | − | 0.886953i | ||||
\(379\) | 2.71495e34 | + | 2.71495e34i | 0.418921 | + | 0.418921i | 0.884832 | − | 0.465911i | \(-0.154273\pi\) |
−0.465911 | + | 0.884832i | \(0.654273\pi\) | |||||||
\(380\) | 1.27515e35 | − | 6.74164e33i | 1.89882 | − | 0.100389i | ||||
\(381\) | 5.96813e34 | − | 5.96813e34i | 0.857731 | − | 0.857731i | ||||
\(382\) | −1.52670e34 | + | 4.03296e32i | −0.211786 | + | 0.00559459i | ||||
\(383\) | 6.33334e34 | 0.848104 | 0.424052 | − | 0.905638i | \(-0.360607\pi\) | ||||
0.424052 | + | 0.905638i | \(0.360607\pi\) | |||||||
\(384\) | 5.22116e34 | − | 7.62311e34i | 0.674987 | − | 0.985509i | ||||
\(385\) | −2.17889e35 | −2.71967 | ||||||||
\(386\) | −8.34368e34 | + | 2.20409e33i | −1.00561 | + | 0.0265644i | ||||
\(387\) | 3.35525e34 | − | 3.35525e34i | 0.390505 | − | 0.390505i | ||||
\(388\) | −1.02296e35 | + | 5.40830e33i | −1.14982 | + | 0.0607900i | ||||
\(389\) | −4.61855e34 | − | 4.61855e34i | −0.501401 | − | 0.501401i | 0.410472 | − | 0.911873i | \(-0.365364\pi\) |
−0.911873 | + | 0.410472i | \(0.865364\pi\) | |||||||
\(390\) | 1.80034e35 | − | 1.89803e35i | 1.88791 | − | 1.99036i | ||||
\(391\) | 1.04107e35i | 1.05461i | ||||||||
\(392\) | 2.22894e35 | − | 1.76970e34i | 2.18140 | − | 0.173196i | ||||
\(393\) | 1.30569e35i | 1.23464i | ||||||||
\(394\) | 7.93151e33 | + | 7.52325e33i | 0.0724698 | + | 0.0687396i | ||||
\(395\) | −8.25658e34 | − | 8.25658e34i | −0.729020 | − | 0.729020i | ||||
\(396\) | 3.02130e34 | − | 3.35860e34i | 0.257815 | − | 0.286598i | ||||
\(397\) | 1.22128e35 | − | 1.22128e35i | 1.00726 | − | 1.00726i | 0.00728905 | − | 0.999973i | \(-0.497680\pi\) |
0.999973 | − | 0.00728905i | \(-0.00232020\pi\) | |||||||
\(398\) | 1.55240e33 | + | 5.87669e34i | 0.0123761 | + | 0.468502i | ||||
\(399\) | −3.12039e35 | −2.40478 | ||||||||
\(400\) | 2.60998e34 | + | 2.46143e35i | 0.194458 | + | 1.83391i | ||||
\(401\) | 1.65864e35 | 1.19482 | 0.597410 | − | 0.801936i | \(-0.296197\pi\) | ||||
0.597410 | + | 0.801936i | \(0.296197\pi\) | |||||||
\(402\) | 4.56767e33 | + | 1.72911e35i | 0.0318158 | + | 1.20440i | ||||
\(403\) | 7.91620e33 | − | 7.91620e33i | 0.0533210 | − | 0.0533210i | ||||
\(404\) | 8.18364e34 | + | 7.36176e34i | 0.533087 | + | 0.479549i | ||||
\(405\) | −2.35588e35 | − | 2.35588e35i | −1.48426 | − | 1.48426i | ||||
\(406\) | −1.78134e35 | − | 1.68965e35i | −1.08554 | − | 1.02967i | ||||
\(407\) | − | 3.69321e34i | − | 0.217710i | ||||||
\(408\) | −1.17423e35 | + | 1.37677e35i | −0.669640 | + | 0.785145i | ||||
\(409\) | − | 1.49964e35i | − | 0.827415i | −0.910410 | − | 0.413707i | \(-0.864234\pi\) | ||
0.910410 | − | 0.413707i | \(-0.135766\pi\) | |||||||
\(410\) | −1.46328e35 | + | 1.54269e35i | −0.781170 | + | 0.823561i | ||||
\(411\) | 8.96577e34 | + | 8.96577e34i | 0.463152 | + | 0.463152i | ||||
\(412\) | 1.06915e34 | + | 2.02225e35i | 0.0534474 | + | 1.01093i | ||||
\(413\) | −2.30199e35 | + | 2.30199e35i | −1.11372 | + | 1.11372i | ||||
\(414\) | 1.11236e35 | − | 2.93843e33i | 0.520883 | − | 0.0137598i | ||||
\(415\) | 3.08639e35 | 1.39895 | ||||||||
\(416\) | 1.88653e35 | − | 2.46444e35i | 0.827759 | − | 1.08133i | ||||
\(417\) | −2.08037e35 | −0.883700 | ||||||||
\(418\) | 2.47513e35 | − | 6.53836e33i | 1.01793 | − | 0.0268899i | ||||
\(419\) | −3.00753e35 | + | 3.00753e35i | −1.19763 | + | 1.19763i | −0.222751 | + | 0.974875i | \(0.571504\pi\) |
−0.974875 | + | 0.222751i | \(0.928496\pi\) | |||||||
\(420\) | −4.92501e34 | − | 9.31542e35i | −0.189907 | − | 3.59201i | ||||
\(421\) | 4.02468e34 | + | 4.02468e34i | 0.150287 | + | 0.150287i | 0.778246 | − | 0.627959i | \(-0.216109\pi\) |
−0.627959 | + | 0.778246i | \(0.716109\pi\) | |||||||
\(422\) | 2.62136e35 | − | 2.76361e35i | 0.948002 | − | 0.999446i | ||||
\(423\) | 9.05036e34i | 0.317008i | ||||||||
\(424\) | 6.42375e33 | + | 5.47874e33i | 0.0217946 | + | 0.0185884i | ||||
\(425\) | − | 4.84749e35i | − | 1.59319i | ||||||
\(426\) | 6.13735e34 | + | 5.82144e34i | 0.195412 | + | 0.185354i | ||||
\(427\) | 6.67683e35 | + | 6.67683e35i | 2.05965 | + | 2.05965i | ||||
\(428\) | −2.89466e35 | − | 2.60395e35i | −0.865179 | − | 0.778290i | ||||
\(429\) | 3.58685e35 | − | 3.58685e35i | 1.03882 | − | 1.03882i | ||||
\(430\) | 2.05307e34 | + | 7.77200e35i | 0.0576208 | + | 2.18127i | ||||
\(431\) | −2.02475e35 | −0.550717 | −0.275358 | − | 0.961342i | \(-0.588796\pi\) | ||||
−0.275358 | + | 0.961342i | \(0.588796\pi\) | |||||||
\(432\) | −2.01987e35 | − | 1.63258e35i | −0.532467 | − | 0.430372i | ||||
\(433\) | 2.11043e35 | 0.539242 | 0.269621 | − | 0.962966i | \(-0.413102\pi\) | ||||
0.269621 | + | 0.962966i | \(0.413102\pi\) | |||||||
\(434\) | −1.05418e33 | − | 3.99064e34i | −0.00261097 | − | 0.0988395i | ||||
\(435\) | −4.97128e35 | + | 4.97128e35i | −1.19361 | + | 1.19361i | ||||
\(436\) | 1.05439e35 | − | 1.17211e35i | 0.245434 | − | 0.272835i | ||||
\(437\) | 4.31247e35 | + | 4.31247e35i | 0.973255 | + | 0.973255i | ||||
\(438\) | −2.38003e35 | − | 2.25752e35i | −0.520812 | − | 0.494005i | ||||
\(439\) | 4.45130e34i | 0.0944531i | 0.998884 | + | 0.0472265i | \(0.0150383\pi\) | ||||
−0.998884 | + | 0.0472265i | \(0.984962\pi\) | |||||||
\(440\) | 5.85850e34 | + | 7.37879e35i | 0.120552 | + | 1.51836i | ||||
\(441\) | 4.68039e35i | 0.934030i | ||||||||
\(442\) | −4.18290e35 | + | 4.40989e35i | −0.809612 | + | 0.853547i | ||||
\(443\) | −4.85605e35 | − | 4.85605e35i | −0.911660 | − | 0.911660i | 0.0847429 | − | 0.996403i | \(-0.472993\pi\) |
−0.996403 | + | 0.0847429i | \(0.972993\pi\) | |||||||
\(444\) | 1.57896e35 | − | 8.34786e33i | 0.287542 | − | 0.0152021i | ||||
\(445\) | −2.54974e35 | + | 2.54974e35i | −0.450438 | + | 0.450438i | ||||
\(446\) | −1.07075e36 | + | 2.82851e34i | −1.83513 | + | 0.0484772i | ||||
\(447\) | 7.36455e35 | 1.22460 | ||||||||
\(448\) | −1.74636e35 | − | 1.09284e36i | −0.281760 | − | 1.76320i | ||||
\(449\) | −4.71509e35 | −0.738184 | −0.369092 | − | 0.929393i | \(-0.620331\pi\) | ||||
−0.369092 | + | 0.929393i | \(0.620331\pi\) | |||||||
\(450\) | −5.17944e35 | + | 1.36821e34i | −0.786889 | + | 0.0207867i | ||||
\(451\) | −2.91533e35 | + | 2.91533e35i | −0.429838 | + | 0.429838i | ||||
\(452\) | −4.74987e34 | + | 2.51122e33i | −0.0679693 | + | 0.00359349i | ||||
\(453\) | −5.32938e35 | − | 5.32938e35i | −0.740203 | − | 0.740203i | ||||
\(454\) | −4.74653e33 | + | 5.00410e33i | −0.00639914 | + | 0.00674640i | ||||
\(455\) | − | 3.13342e36i | − | 4.10077i | ||||||
\(456\) | 8.38995e34 | + | 1.05672e36i | 0.106594 | + | 1.34256i | ||||
\(457\) | − | 1.20700e36i | − | 1.48881i | −0.667728 | − | 0.744405i | \(-0.732733\pi\) | ||
0.667728 | − | 0.744405i | \(-0.267267\pi\) | |||||||
\(458\) | 1.17400e36 | + | 1.11357e36i | 1.40600 | + | 1.33363i | ||||
\(459\) | 3.59653e35 | + | 3.59653e35i | 0.418228 | + | 0.418228i | ||||
\(460\) | −1.21935e36 | + | 1.35548e36i | −1.37689 | + | 1.53061i | ||||
\(461\) | −4.20312e35 | + | 4.20312e35i | −0.460903 | + | 0.460903i | −0.898951 | − | 0.438049i | \(-0.855670\pi\) |
0.438049 | + | 0.898951i | \(0.355670\pi\) | |||||||
\(462\) | −4.77650e34 | − | 1.80817e36i | −0.0508678 | − | 1.92563i | ||||
\(463\) | 1.27380e36 | 1.31752 | 0.658762 | − | 0.752351i | \(-0.271080\pi\) | ||||
0.658762 | + | 0.752351i | \(0.271080\pi\) | |||||||
\(464\) | −5.24303e35 | + | 6.48681e35i | −0.526732 | + | 0.651686i | ||||
\(465\) | −1.14310e35 | −0.111550 | ||||||||
\(466\) | −9.38560e32 | − | 3.55297e34i | −0.000889718 | − | 0.0336807i | ||||
\(467\) | 2.52284e35 | − | 2.52284e35i | 0.232333 | − | 0.232333i | −0.581333 | − | 0.813666i | \(-0.697469\pi\) |
0.813666 | + | 0.581333i | \(0.197469\pi\) | |||||||
\(468\) | 4.82994e35 | + | 4.34487e35i | 0.432138 | + | 0.388739i | ||||
\(469\) | 1.46498e36 | + | 1.46498e36i | 1.27350 | + | 1.27350i | ||||
\(470\) | −1.07589e36 | − | 1.02051e36i | −0.908755 | − | 0.861978i | ||||
\(471\) | 1.03221e36i | 0.847199i | ||||||||
\(472\) | 8.41459e35 | + | 7.17670e35i | 0.671144 | + | 0.572410i | ||||
\(473\) | 1.50753e36i | 1.16853i | ||||||||
\(474\) | 6.67078e35 | − | 7.03278e35i | 0.502538 | − | 0.529809i | ||||
\(475\) | −2.00800e36 | − | 2.00800e36i | −1.47028 | − | 1.47028i | ||||
\(476\) | 1.14428e35 | + | 2.16435e36i | 0.0814399 | + | 1.54040i | ||||
\(477\) | −1.24966e34 | + | 1.24966e34i | −0.00864557 | + | 0.00864557i | ||||
\(478\) | 7.60996e35 | − | 2.01026e34i | 0.511806 | − | 0.0135200i | ||||
\(479\) | −1.59000e36 | −1.03960 | −0.519802 | − | 0.854287i | \(-0.673994\pi\) | ||||
−0.519802 | + | 0.854287i | \(0.673994\pi\) | |||||||
\(480\) | −3.14141e36 | + | 4.17253e35i | −1.99696 | + | 0.265242i | ||||
\(481\) | 5.31113e35 | 0.328268 | ||||||||
\(482\) | 2.23984e36 | − | 5.91681e34i | 1.34611 | − | 0.0355593i | ||||
\(483\) | 3.15041e36 | − | 3.15041e36i | 1.84111 | − | 1.84111i | ||||
\(484\) | −1.71233e34 | − | 3.23880e35i | −0.00973140 | − | 0.184065i | ||||
\(485\) | 2.48434e36 | + | 2.48434e36i | 1.37309 | + | 1.37309i | ||||
\(486\) | 1.02688e36 | − | 1.08260e36i | 0.551986 | − | 0.581940i | ||||
\(487\) | 2.21222e36i | 1.15661i | 0.815820 | + | 0.578307i | \(0.196286\pi\) | ||||
−0.815820 | + | 0.578307i | \(0.803714\pi\) | |||||||
\(488\) | 2.08158e36 | − | 2.44062e36i | 1.05858 | − | 1.24118i | ||||
\(489\) | 2.63584e36i | 1.30392i | ||||||||
\(490\) | −5.56395e36 | − | 5.27756e36i | −2.67754 | − | 2.53972i | ||||
\(491\) | 3.23979e35 | + | 3.23979e35i | 0.151676 | + | 0.151676i | 0.778866 | − | 0.627190i | \(-0.215795\pi\) |
−0.627190 | + | 0.778866i | \(0.715795\pi\) | |||||||
\(492\) | −1.31229e36 | − | 1.18050e36i | −0.597723 | − | 0.537695i | ||||
\(493\) | 1.15503e36 | − | 1.15503e36i | 0.511869 | − | 0.511869i | ||||
\(494\) | 9.40269e34 | + | 3.55944e36i | 0.0405451 | + | 1.53486i | ||||
\(495\) | −1.54942e36 | −0.650128 | ||||||||
\(496\) | −1.34859e35 | + | 1.42998e34i | −0.0550652 | + | 0.00583884i | ||||
\(497\) | 1.01320e36 | 0.402610 | ||||||||
\(498\) | 6.76589e34 | + | 2.56126e36i | 0.0261655 | + | 0.990508i | ||||
\(499\) | 1.92777e36 | − | 1.92777e36i | 0.725600 | − | 0.725600i | −0.244140 | − | 0.969740i | \(-0.578506\pi\) |
0.969740 | + | 0.244140i | \(0.0785056\pi\) | |||||||
\(500\) | 2.59897e36 | − | 2.88912e36i | 0.952152 | − | 1.05845i | ||||
\(501\) | 9.01562e35 | + | 9.01562e35i | 0.321504 | + | 0.321504i | ||||
\(502\) | 3.16400e36 | + | 3.00114e36i | 1.09834 | + | 1.04180i | ||||
\(503\) | − | 4.17654e36i | − | 1.41140i | −0.708512 | − | 0.705698i | \(-0.750633\pi\) | ||
0.708512 | − | 0.705698i | \(-0.249367\pi\) | |||||||
\(504\) | 2.30933e36 | − | 1.83352e35i | 0.759754 | − | 0.0603218i | ||||
\(505\) | − | 3.77535e36i | − | 1.20927i | ||||||
\(506\) | −2.43293e36 | + | 2.56495e36i | −0.758748 | + | 0.799922i | ||||
\(507\) | 2.37668e36 | + | 2.37668e36i | 0.721711 | + | 0.721711i | ||||
\(508\) | −3.42952e36 | + | 1.81316e35i | −1.01408 | + | 0.0536139i | ||||
\(509\) | 3.84305e36 | − | 3.84305e36i | 1.10659 | − | 1.10659i | 0.112992 | − | 0.993596i | \(-0.463957\pi\) |
0.993596 | − | 0.112992i | \(-0.0360434\pi\) | |||||||
\(510\) | 6.20402e36 | − | 1.63887e35i | 1.73971 | − | 0.0459565i | ||||
\(511\) | −3.92913e36 | −1.07304 | ||||||||
\(512\) | −3.65392e36 | + | 8.85237e35i | −0.971884 | + | 0.235459i | ||||
\(513\) | 2.97962e36 | 0.771928 | ||||||||
\(514\) | 7.34859e36 | − | 1.94122e35i | 1.85439 | − | 0.0489861i | ||||
\(515\) | 4.91123e36 | − | 4.91123e36i | 1.20724 | − | 1.20724i | ||||
\(516\) | −6.44515e36 | + | 3.40751e35i | −1.54334 | + | 0.0815954i | ||||
\(517\) | −2.03319e36 | − | 2.03319e36i | −0.474302 | − | 0.474302i | ||||
\(518\) | 1.30333e36 | − | 1.37406e36i | 0.296213 | − | 0.312287i | ||||
\(519\) | 5.90309e36i | 1.30713i | ||||||||
\(520\) | −1.06113e37 | + | 8.42499e35i | −2.28941 | + | 0.181771i | ||||
\(521\) | 1.75125e36i | 0.368163i | 0.982911 | + | 0.184081i | \(0.0589310\pi\) | ||||
−0.982911 | + | 0.184081i | \(0.941069\pi\) | |||||||
\(522\) | −1.26672e36 | − | 1.20152e36i | −0.259495 | − | 0.246138i | ||||
\(523\) | −2.20670e36 | − | 2.20670e36i | −0.440524 | − | 0.440524i | 0.451664 | − | 0.892188i | \(-0.350831\pi\) |
−0.892188 | + | 0.451664i | \(0.850831\pi\) | |||||||
\(524\) | 3.55315e36 | − | 3.94983e36i | 0.691261 | − | 0.768434i | ||||
\(525\) | −1.46691e37 | + | 1.46691e37i | −2.78134 | + | 2.78134i | ||||
\(526\) | −1.32868e34 | − | 5.02977e35i | −0.00245534 | − | 0.0929482i | ||||
\(527\) | 2.65589e35 | 0.0478373 | ||||||||
\(528\) | −6.11049e36 | + | 6.47927e35i | −1.07280 | + | 0.113754i | ||||
\(529\) | −2.86470e36 | −0.490261 | ||||||||
\(530\) | −7.64664e33 | − | 2.89468e35i | −0.00127569 | − | 0.0482921i | ||||
\(531\) | −1.63695e36 | + | 1.63695e36i | −0.266232 | + | 0.266232i | ||||
\(532\) | 9.43948e36 | + | 8.49148e36i | 1.49672 | + | 1.34641i | ||||
\(533\) | −4.19248e36 | − | 4.19248e36i | −0.648117 | − | 0.648117i | ||||
\(534\) | −2.17181e36 | − | 2.06002e36i | −0.327352 | − | 0.310502i | ||||
\(535\) | 1.33539e37i | 1.96260i | ||||||||
\(536\) | 4.56724e36 | − | 5.35503e36i | 0.654530 | − | 0.767428i | ||||
\(537\) | 1.04129e37i | 1.45519i | ||||||||
\(538\) | 2.13362e36 | − | 2.24940e36i | 0.290774 | − | 0.306553i | ||||
\(539\) | −1.05146e37 | − | 1.05146e37i | −1.39748 | − | 1.39748i | ||||
\(540\) | 4.70283e35 | + | 8.89519e36i | 0.0609598 | + | 1.15303i | ||||
\(541\) | 5.57551e36 | − | 5.57551e36i | 0.704890 | − | 0.704890i | −0.260566 | − | 0.965456i | \(-0.583909\pi\) |
0.965456 | + | 0.260566i | \(0.0839092\pi\) | |||||||
\(542\) | −1.03341e37 | + | 2.72988e35i | −1.27433 | + | 0.0336630i | ||||
\(543\) | −1.64693e37 | −1.98097 | ||||||||
\(544\) | 7.29876e36 | − | 9.69446e35i | 0.856375 | − | 0.113747i | ||||
\(545\) | −5.40728e36 | −0.618907 | ||||||||
\(546\) | 2.60029e37 | − | 6.86899e35i | 2.90350 | − | 0.0766995i | ||||
\(547\) | −3.06093e36 | + | 3.06093e36i | −0.333445 | + | 0.333445i | −0.853893 | − | 0.520448i | \(-0.825765\pi\) |
0.520448 | + | 0.853893i | \(0.325765\pi\) | |||||||
\(548\) | −2.72387e35 | − | 5.15208e36i | −0.0289500 | − | 0.547577i | ||||
\(549\) | 4.74792e36 | + | 4.74792e36i | 0.492353 | + | 0.492353i | ||||
\(550\) | 1.13284e37 | − | 1.19431e37i | 1.14623 | − | 1.20843i | ||||
\(551\) | − | 9.56905e36i | − | 0.944762i | ||||||
\(552\) | −1.15159e37 | − | 9.82175e36i | −1.10948 | − | 0.946262i | ||||
\(553\) | − | 1.16103e37i | − | 1.09157i | ||||||
\(554\) | 9.50862e35 | + | 9.01918e35i | 0.0872440 | + | 0.0827533i | ||||
\(555\) | −3.83465e36 | − | 3.83465e36i | −0.343377 | − | 0.343377i | ||||
\(556\) | 6.29333e36 | + | 5.66130e36i | 0.550011 | + | 0.494774i | ||||
\(557\) | −1.01026e37 | + | 1.01026e37i | −0.861765 | + | 0.861765i | −0.991543 | − | 0.129778i | \(-0.958573\pi\) |
0.129778 | + | 0.991543i | \(0.458573\pi\) | |||||||
\(558\) | −7.49629e33 | − | 2.83776e35i | −0.000624144 | − | 0.0236273i | ||||
\(559\) | −2.16795e37 | −1.76193 | ||||||||
\(560\) | −2.38601e37 | + | 2.95203e37i | −1.89293 | + | 2.34198i | ||||
\(561\) | 1.20339e37 | 0.931983 | ||||||||
\(562\) | 3.53059e35 | + | 1.33652e37i | 0.0266936 | + | 1.01050i | ||||
\(563\) | −2.85063e36 | + | 2.85063e36i | −0.210416 | + | 0.210416i | −0.804444 | − | 0.594028i | \(-0.797537\pi\) |
0.594028 | + | 0.804444i | \(0.297537\pi\) | |||||||
\(564\) | 8.23292e36 | − | 9.15206e36i | 0.593316 | − | 0.659555i | ||||
\(565\) | 1.15355e36 | + | 1.15355e36i | 0.0811676 | + | 0.0811676i | ||||
\(566\) | 4.87657e36 | + | 4.62555e36i | 0.335037 | + | 0.317791i | ||||
\(567\) | − | 3.31280e37i | − | 2.22241i | ||||||
\(568\) | −2.72425e35 | − | 3.43119e36i | −0.0178461 | − | 0.224772i | ||||
\(569\) | 1.12984e37i | 0.722775i | 0.932416 | + | 0.361388i | \(0.117697\pi\) | ||||
−0.932416 | + | 0.361388i | \(0.882303\pi\) | |||||||
\(570\) | 2.50204e37 | − | 2.63781e37i | 1.56309 | − | 1.64791i | ||||
\(571\) | 9.87170e36 | + | 9.87170e36i | 0.602288 | + | 0.602288i | 0.940919 | − | 0.338631i | \(-0.109964\pi\) |
−0.338631 | + | 0.940919i | \(0.609964\pi\) | |||||||
\(572\) | −2.06114e37 | + | 1.08971e36i | −1.22818 | + | 0.0649331i | ||||
\(573\) | −3.07474e36 | + | 3.07474e36i | −0.178946 | + | 0.178946i | ||||
\(574\) | −2.11347e37 | + | 5.58300e35i | −1.20140 | + | 0.0317363i | ||||
\(575\) | 4.05464e37 | 2.25131 | ||||||||
\(576\) | −1.24184e36 | − | 7.77121e36i | −0.0673539 | − | 0.421488i | ||||
\(577\) | 1.53120e37 | 0.811259 | 0.405629 | − | 0.914038i | \(-0.367052\pi\) | ||||
0.405629 | + | 0.914038i | \(0.367052\pi\) | |||||||
\(578\) | 4.89966e36 | − | 1.29431e35i | 0.253595 | − | 0.00669901i | ||||
\(579\) | −1.68040e37 | + | 1.68040e37i | −0.849675 | + | 0.849675i | ||||
\(580\) | 2.85669e37 | − | 1.51031e36i | 1.41119 | − | 0.0746086i | ||||
\(581\) | 2.17002e37 | + | 2.17002e37i | 1.04733 | + | 1.04733i | ||||
\(582\) | −2.00719e37 | + | 2.11611e37i | −0.946516 | + | 0.997880i | ||||
\(583\) | − | 5.61478e35i | − | 0.0258707i | ||||||
\(584\) | 1.05645e36 | + | 1.33060e37i | 0.0475635 | + | 0.599063i | ||||
\(585\) | − | 2.22819e37i | − | 0.980275i | ||||||
\(586\) | 6.18544e36 | + | 5.86706e36i | 0.265921 | + | 0.252234i | ||||
\(587\) | 1.22724e37 | + | 1.22724e37i | 0.515604 | + | 0.515604i | 0.916238 | − | 0.400634i | \(-0.131210\pi\) |
−0.400634 | + | 0.916238i | \(0.631210\pi\) | |||||||
\(588\) | 4.25765e37 | − | 4.73298e37i | 1.74814 | − | 1.94330i | ||||
\(589\) | 1.10016e36 | − | 1.10016e36i | 0.0441469 | − | 0.0441469i | ||||
\(590\) | −1.00165e36 | − | 3.79179e37i | −0.0392838 | − | 1.48711i | ||||
\(591\) | 3.11256e36 | 0.119313 | ||||||||
\(592\) | −5.00367e36 | − | 4.04427e36i | −0.187476 | − | 0.151530i | ||||
\(593\) | −4.00738e36 | −0.146765 | −0.0733825 | − | 0.997304i | \(-0.523379\pi\) | ||||
−0.0733825 | + | 0.997304i | \(0.523379\pi\) | |||||||
\(594\) | 4.56102e35 | + | 1.72660e37i | 0.0163285 | + | 0.618122i | ||||
\(595\) | 5.25632e37 | − | 5.25632e37i | 1.83951 | − | 1.83951i | ||||
\(596\) | −2.22785e37 | − | 2.00411e37i | −0.762186 | − | 0.685640i | ||||
\(597\) | 1.18356e37 | + | 1.18356e37i | 0.395854 | + | 0.395854i | ||||
\(598\) | −3.68861e37 | − | 3.49875e37i | −1.20614 | − | 1.14405i | ||||
\(599\) | 2.52974e37i | 0.808749i | 0.914594 | + | 0.404374i | \(0.132511\pi\) | ||||
−0.914594 | + | 0.404374i | \(0.867489\pi\) | |||||||
\(600\) | 5.36210e37 | + | 4.57327e37i | 1.67607 | + | 1.42950i | ||||
\(601\) | − | 1.83437e37i | − | 0.560637i | −0.959907 | − | 0.280318i | \(-0.909560\pi\) | ||
0.959907 | − | 0.280318i | \(-0.0904400\pi\) | |||||||
\(602\) | −5.32008e37 | + | 5.60878e37i | −1.58988 | + | 1.67616i | ||||
\(603\) | 1.04175e37 | + | 1.04175e37i | 0.304426 | + | 0.304426i | ||||
\(604\) | 1.61911e36 | + | 3.06247e37i | 0.0462676 | + | 0.875131i | ||||
\(605\) | −7.86573e36 | + | 7.86573e36i | −0.219807 | + | 0.219807i | ||||
\(606\) | 3.13300e37 | − | 8.27621e35i | 0.856209 | − | 0.0226178i | ||||
\(607\) | −2.15299e37 | −0.575432 | −0.287716 | − | 0.957716i | \(-0.592896\pi\) | ||||
−0.287716 | + | 0.957716i | \(0.592896\pi\) | |||||||
\(608\) | 2.62182e37 | − | 3.42498e37i | 0.685339 | − | 0.895282i | ||||
\(609\) | −6.99053e37 | −1.78721 | ||||||||
\(610\) | −1.09980e38 | + | 2.90525e36i | −2.75017 | + | 0.0726491i | ||||
\(611\) | 2.92389e37 | − | 2.92389e37i | 0.715162 | − | 0.715162i | ||||
\(612\) | 8.13700e35 | + | 1.53908e37i | 0.0194679 | + | 0.368227i | ||||
\(613\) | −2.58608e37 | − | 2.58608e37i | −0.605237 | − | 0.605237i | 0.336460 | − | 0.941698i | \(-0.390770\pi\) |
−0.941698 | + | 0.336460i | \(0.890770\pi\) | |||||||
\(614\) | 4.45928e37 | − | 4.70127e37i | 1.02092 | − | 1.07632i | ||||
\(615\) | 6.05397e37i | 1.35589i | ||||||||
\(616\) | −4.77606e37 | + | 5.59987e37i | −1.04648 | + | 1.22698i | ||||
\(617\) | − | 2.00824e37i | − | 0.430493i | −0.976560 | − | 0.215247i | \(-0.930944\pi\) | ||
0.976560 | − | 0.215247i | \(-0.0690555\pi\) | |||||||
\(618\) | 4.18328e37 | + | 3.96796e37i | 0.877350 | + | 0.832190i | ||||
\(619\) | 1.73371e37 | + | 1.73371e37i | 0.355755 | + | 0.355755i | 0.862246 | − | 0.506490i | \(-0.169057\pi\) |
−0.506490 | + | 0.862246i | \(0.669057\pi\) | |||||||
\(620\) | 3.45800e36 | + | 3.11072e36i | 0.0694284 | + | 0.0624558i | ||||
\(621\) | −3.00829e37 | + | 3.00829e37i | −0.590993 | + | 0.590993i | ||||
\(622\) | 4.39382e35 | + | 1.66330e37i | 0.00844640 | + | 0.319743i | ||||
\(623\) | −3.58539e37 | −0.674448 | ||||||||
\(624\) | −9.31771e36 | − | 8.78738e37i | −0.171521 | − | 1.61759i | ||||
\(625\) | −3.09107e37 | −0.556837 | ||||||||
\(626\) | 3.79102e35 | + | 1.43511e37i | 0.00668347 | + | 0.253006i | ||||
\(627\) | 4.98486e37 | − | 4.98486e37i | 0.860085 | − | 0.860085i | ||||
\(628\) | 2.80894e37 | − | 3.12253e37i | 0.474337 | − | 0.527293i | ||||
\(629\) | 8.90944e36 | + | 8.90944e36i | 0.147254 | + | 0.147254i | ||||
\(630\) | −5.76463e37 | − | 5.46791e37i | −0.932554 | − | 0.884552i | ||||
\(631\) | − | 5.73798e37i | − | 0.908579i | −0.890854 | − | 0.454290i | \(-0.849893\pi\) | ||
0.890854 | − | 0.454290i | \(-0.150107\pi\) | |||||||
\(632\) | −3.93180e37 | + | 3.12171e36i | −0.609412 | + | 0.0483851i | ||||
\(633\) | − | 1.08452e38i | − | 1.64547i | ||||||
\(634\) | −7.92697e37 | + | 8.35713e37i | −1.17734 | + | 1.24123i | ||||
\(635\) | 8.32892e37 | + | 8.32892e37i | 1.21100 | + | 1.21100i | ||||
\(636\) | 2.40049e36 | − | 1.26912e35i | 0.0341687 | − | 0.00180648i | ||||
\(637\) | 1.51209e38 | − | 1.51209e38i | 2.10714 | − | 2.10714i | ||||
\(638\) | 5.54497e37 | − | 1.46477e36i | 0.756519 | − | 0.0199844i | ||||
\(639\) | 7.20492e36 | 0.0962427 | ||||||||
\(640\) | 1.06385e38 | + | 7.28647e37i | 1.39140 | + | 0.952988i | ||||
\(641\) | −6.74215e37 | −0.863406 | −0.431703 | − | 0.902016i | \(-0.642087\pi\) | ||||
−0.431703 | + | 0.902016i | \(0.642087\pi\) | |||||||
\(642\) | −1.10818e38 | + | 2.92740e36i | −1.38959 | + | 0.0367079i | ||||
\(643\) | −9.60356e37 | + | 9.60356e37i | −1.17919 | + | 1.17919i | −0.199241 | + | 0.979951i | \(0.563848\pi\) |
−0.979951 | + | 0.199241i | \(0.936152\pi\) | |||||||
\(644\) | −1.81035e38 | + | 9.57119e36i | −2.17672 | + | 0.115082i | ||||
\(645\) | 1.56527e38 | + | 1.56527e38i | 1.84303 | + | 1.84303i | ||||
\(646\) | −5.81323e37 | + | 6.12869e37i | −0.670315 | + | 0.706690i | ||||
\(647\) | 4.86931e37i | 0.549869i | 0.961463 | + | 0.274934i | \(0.0886562\pi\) | ||||
−0.961463 | + | 0.274934i | \(0.911344\pi\) | |||||||
\(648\) | −1.12187e38 | + | 8.90729e36i | −1.24074 | + | 0.0985106i | ||||
\(649\) | − | 7.35491e37i | − | 0.796662i | ||||||
\(650\) | 1.71752e38 | + | 1.62911e38i | 1.82209 | + | 1.72830i | ||||
\(651\) | −8.03707e36 | − | 8.03707e36i | −0.0835130 | − | 0.0835130i | ||||
\(652\) | 7.17289e37 | − | 7.97368e37i | 0.730049 | − | 0.811552i | ||||
\(653\) | 9.96444e37 | − | 9.96444e37i | 0.993401 | − | 0.993401i | −0.00657695 | − | 0.999978i | \(-0.502094\pi\) |
0.999978 | + | 0.00657695i | \(0.00209352\pi\) | |||||||
\(654\) | −1.18537e36 | − | 4.48726e37i | −0.0115759 | − | 0.438210i | ||||
\(655\) | −1.82217e38 | −1.74314 | ||||||||
\(656\) | 7.57327e36 | + | 7.14223e37i | 0.0709711 | + | 0.669317i | ||||
\(657\) | −2.79402e37 | −0.256506 | ||||||||
\(658\) | −3.89365e36 | − | 1.47396e38i | −0.0350193 | − | 1.32567i | ||||
\(659\) | 1.08343e36 | − | 1.08343e36i | 0.00954661 | − | 0.00954661i | −0.702317 | − | 0.711864i | \(-0.747851\pi\) |
0.711864 | + | 0.702317i | \(0.247851\pi\) | |||||||
\(660\) | 1.56683e38 | + | 1.40947e38i | 1.35263 | + | 1.21679i | ||||
\(661\) | 1.01016e38 | + | 1.01016e38i | 0.854419 | + | 0.854419i | 0.990674 | − | 0.136255i | \(-0.0435066\pi\) |
−0.136255 | + | 0.990674i | \(0.543507\pi\) | |||||||
\(662\) | 2.30572e37 | + | 2.18704e37i | 0.191084 | + | 0.181248i | ||||
\(663\) | 1.73057e38i | 1.40526i | ||||||||
\(664\) | 6.76527e37 | − | 7.93219e37i | 0.538289 | − | 0.631138i | ||||
\(665\) | − | 4.35471e38i | − | 3.39521i | ||||||
\(666\) | 9.26807e36 | − | 9.77101e36i | 0.0708088 | − | 0.0746513i | ||||
\(667\) | 9.66111e37 | + | 9.66111e37i | 0.723316 | + | 0.723316i | ||||
\(668\) | −2.73902e36 | − | 5.18073e37i | −0.0200961 | − | 0.380109i | ||||
\(669\) | −2.15647e38 | + | 2.15647e38i | −1.55057 | + | 1.55057i | ||||
\(670\) | −2.41309e38 | + | 6.37448e36i | −1.70045 | + | 0.0449195i | ||||
\(671\) | −2.13327e38 | −1.47330 | ||||||||
\(672\) | −2.50207e38 | − | 1.91533e38i | −1.69361 | − | 1.29646i | ||||
\(673\) | −3.17797e37 | −0.210837 | −0.105418 | − | 0.994428i | \(-0.533618\pi\) | ||||
−0.105418 | + | 0.994428i | \(0.533618\pi\) | |||||||
\(674\) | −1.61641e37 | + | 4.26995e35i | −0.105110 | + | 0.00277661i | ||||
\(675\) | 1.40074e38 | − | 1.40074e38i | 0.892804 | − | 0.892804i | ||||
\(676\) | −7.22054e36 | − | 1.36573e38i | −0.0451117 | − | 0.853267i | ||||
\(677\) | −3.46930e36 | − | 3.46930e36i | −0.0212468 | − | 0.0212468i | 0.696404 | − | 0.717650i | \(-0.254782\pi\) |
−0.717650 | + | 0.696404i | \(0.754782\pi\) | |||||||
\(678\) | −9.31995e36 | + | 9.82570e36i | −0.0559516 | + | 0.0589879i | ||||
\(679\) | 3.49344e38i | 2.05595i | ||||||||
\(680\) | −1.92138e38 | − | 1.63872e38i | −1.10852 | − | 0.945440i | ||||
\(681\) | 1.96376e36i | 0.0111071i | ||||||||
\(682\) | 6.54350e36 | + | 6.20669e36i | 0.0362845 | + | 0.0344168i | ||||
\(683\) | −3.49900e37 | − | 3.49900e37i | −0.190223 | − | 0.190223i | 0.605569 | − | 0.795793i | \(-0.292945\pi\) |
−0.795793 | + | 0.605569i | \(0.792945\pi\) | |||||||
\(684\) | 6.71245e37 | + | 6.03833e37i | 0.357787 | + | 0.321854i | ||||
\(685\) | −1.25123e38 | + | 1.25123e38i | −0.653906 | + | 0.653906i | ||||
\(686\) | −1.09342e37 | − | 4.13919e38i | −0.0560288 | − | 2.12100i | ||||
\(687\) | 4.60713e38 | 2.31481 | ||||||||
\(688\) | 2.04245e38 | + | 1.65083e38i | 1.00625 | + | 0.813315i | ||||
\(689\) | 8.07451e36 | 0.0390083 | ||||||||
\(690\) | 1.37082e37 | + | 5.18930e38i | 0.0649406 | + | 2.45836i | ||||
\(691\) | −1.58069e38 | + | 1.58069e38i | −0.734333 | + | 0.734333i | −0.971475 | − | 0.237142i | \(-0.923789\pi\) |
0.237142 | + | 0.971475i | \(0.423789\pi\) | |||||||
\(692\) | 1.60640e38 | − | 1.78574e38i | 0.731849 | − | 0.813554i | ||||
\(693\) | −1.08938e38 | − | 1.08938e38i | −0.486723 | − | 0.486723i | ||||
\(694\) | −1.19193e38 | − | 1.13058e38i | −0.522274 | − | 0.495391i | ||||
\(695\) | − | 2.90330e38i | − | 1.24766i | ||||||
\(696\) | 1.87958e37 | + | 2.36733e38i | 0.0792202 | + | 0.997779i | ||||
\(697\) | − | 1.40658e38i | − | 0.581462i | ||||||
\(698\) | 1.62127e38 | − | 1.70924e38i | 0.657364 | − | 0.693036i | ||||
\(699\) | −7.15561e36 | − | 7.15561e36i | −0.0284580 | − | 0.0284580i | ||||
\(700\) | 8.42946e38 | − | 4.45660e37i | 3.28834 | − | 0.173852i | ||||
\(701\) | −2.09073e38 | + | 2.09073e38i | −0.800026 | + | 0.800026i | −0.983099 | − | 0.183073i | \(-0.941395\pi\) |
0.183073 | + | 0.983099i | \(0.441395\pi\) | |||||||
\(702\) | −2.48299e38 | + | 6.55912e36i | −0.932016 | + | 0.0246204i | ||||
\(703\) | 7.38120e37 | 0.271788 | ||||||||
\(704\) | 2.02480e38 | + | 1.46684e38i | 0.731395 | + | 0.529848i | ||||
\(705\) | −4.22211e38 | −1.49615 | ||||||||
\(706\) | 1.71988e38 | − | 4.54329e36i | 0.597910 | − | 0.0157945i | ||||
\(707\) | 2.65442e38 | − | 2.65442e38i | 0.905330 | − | 0.905330i | ||||
\(708\) | 3.14445e38 | − | 1.66245e37i | 1.05219 | − | 0.0556288i | ||||
\(709\) | −1.35313e38 | − | 1.35313e38i | −0.444236 | − | 0.444236i | 0.449197 | − | 0.893433i | \(-0.351710\pi\) |
−0.893433 | + | 0.449197i | \(0.851710\pi\) | |||||||
\(710\) | −8.12421e37 | + | 8.56507e37i | −0.261694 | + | 0.275895i | ||||
\(711\) | − | 8.25611e37i | − | 0.260937i | ||||||
\(712\) | 9.64023e36 | + | 1.21419e38i | 0.0298956 | + | 0.376536i | ||||
\(713\) | 2.22149e37i | 0.0675983i | ||||||||
\(714\) | 4.47722e38 | + | 4.24677e38i | 1.33685 | + | 1.26804i | ||||
\(715\) | 5.00569e38 | + | 5.00569e38i | 1.46667 | + | 1.46667i | ||||
\(716\) | 2.83366e38 | − | 3.15002e38i | 0.814746 | − | 0.905705i | ||||
\(717\) | 1.53263e38 | − | 1.53263e38i | 0.432443 | − | 0.432443i | ||||
\(718\) | 4.71473e35 | + | 1.78478e37i | 0.00130550 | + | 0.0494203i | ||||
\(719\) | −4.16658e38 | −1.13224 | −0.566122 | − | 0.824321i | \(-0.691557\pi\) | ||||
−0.566122 | + | 0.824321i | \(0.691557\pi\) | |||||||
\(720\) | −1.69670e38 | + | 2.09920e38i | −0.452498 | + | 0.559842i | ||||
\(721\) | 6.90609e38 | 1.80762 | ||||||||
\(722\) | 2.78800e36 | + | 1.05541e38i | 0.00716210 | + | 0.271125i | ||||
\(723\) | 4.51100e38 | − | 4.51100e38i | 1.13738 | − | 1.13738i | ||||
\(724\) | 4.98214e38 | + | 4.48179e38i | 1.23295 | + | 1.10913i | ||||
\(725\) | −4.49847e38 | − | 4.49847e38i | −1.09270 | − | 1.09270i | ||||
\(726\) | −6.69986e37 | − | 6.35500e37i | −0.159743 | − | 0.151520i | ||||
\(727\) | 9.24040e37i | 0.216260i | 0.994137 | + | 0.108130i | \(0.0344863\pi\) | ||||
−0.994137 | + | 0.108130i | \(0.965514\pi\) | |||||||
\(728\) | −8.05306e38 | − | 6.86835e38i | −1.85007 | − | 1.57790i | ||||
\(729\) | 1.27065e38i | 0.286552i | ||||||||
\(730\) | 3.15052e38 | − | 3.32148e38i | 0.697466 | − | 0.735315i | ||||
\(731\) | −3.63674e38 | − | 3.63674e38i | −0.790365 | − | 0.790365i | ||||
\(732\) | −4.82188e37 | − | 9.12036e38i | −0.102877 | − | 1.94586i | ||||
\(733\) | −2.10372e38 | + | 2.10372e38i | −0.440640 | + | 0.440640i | −0.892227 | − | 0.451587i | \(-0.850858\pi\) |
0.451587 | + | 0.892227i | \(0.350858\pi\) | |||||||
\(734\) | 5.60411e38 | − | 1.48039e37i | 1.15242 | − | 0.0304425i | ||||
\(735\) | −2.18346e39 | −4.40825 | ||||||||
\(736\) | 8.10884e37 | + | 6.10498e38i | 0.160734 | + | 1.21013i | ||||
\(737\) | −4.68065e38 | −0.910952 | ||||||||
\(738\) | −1.50290e38 | + | 3.97009e36i | −0.287190 | + | 0.00758647i | ||||
\(739\) | 4.09334e37 | − | 4.09334e37i | 0.0768030 | − | 0.0768030i | −0.667662 | − | 0.744465i | \(-0.732705\pi\) |
0.744465 | + | 0.667662i | \(0.232705\pi\) | |||||||
\(740\) | 1.16500e37 | + | 2.20354e38i | 0.0214633 | + | 0.405969i | ||||
\(741\) | 7.16864e38 | + | 7.16864e38i | 1.29685 | + | 1.29685i | ||||
\(742\) | 1.98146e37 | − | 2.08899e37i | 0.0351992 | − | 0.0371093i |