Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,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, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
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: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.12.e.a.13.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −36.4599 | − | 26.8082i | −0.805657 | − | 0.592383i | ||||
\(3\) | −475.976 | + | 475.976i | −1.13089 | + | 1.13089i | −0.140855 | + | 0.990030i | \(0.544985\pi\) |
−0.990030 | + | 0.140855i | \(0.955015\pi\) | |||||||
\(4\) | 610.643 | + | 1954.84i | 0.298166 | + | 0.954514i | ||||
\(5\) | 2805.14 | + | 2805.14i | 0.401439 | + | 0.401439i | 0.878740 | − | 0.477301i | \(-0.158385\pi\) |
−0.477301 | + | 0.878740i | \(0.658385\pi\) | |||||||
\(6\) | 30114.1 | − | 4593.97i | 1.58102 | − | 0.241189i | ||||
\(7\) | 76033.6i | 1.70988i | 0.518725 | + | 0.854941i | \(0.326407\pi\) | ||||
−0.518725 | + | 0.854941i | \(0.673593\pi\) | |||||||
\(8\) | 30141.9 | − | 87643.6i | 0.325218 | − | 0.945639i | ||||
\(9\) | − | 275960.i | − | 1.55780i | ||||||
\(10\) | −27074.3 | − | 177476.i | −0.0856165 | − | 0.561227i | ||||
\(11\) | 409752. | + | 409752.i | 0.767116 | + | 0.767116i | 0.977598 | − | 0.210482i | \(-0.0675032\pi\) |
−0.210482 | + | 0.977598i | \(0.567503\pi\) | |||||||
\(12\) | −1.22111e6 | − | 639808.i | −1.41664 | − | 0.742255i | ||||
\(13\) | −1.80631e6 | + | 1.80631e6i | −1.34929 | + | 1.34929i | −0.462853 | + | 0.886435i | \(0.653174\pi\) |
−0.886435 | + | 0.462853i | \(0.846826\pi\) | |||||||
\(14\) | 2.03832e6 | − | 2.77217e6i | 1.01290 | − | 1.37758i | ||||
\(15\) | −2.67036e6 | −0.907962 | ||||||||
\(16\) | −3.44853e6 | + | 2.38743e6i | −0.822194 | + | 0.569207i | ||||
\(17\) | −1.50853e6 | −0.257683 | −0.128842 | − | 0.991665i | \(-0.541126\pi\) | ||||
−0.128842 | + | 0.991665i | \(0.541126\pi\) | |||||||
\(18\) | −7.39798e6 | + | 1.00615e7i | −0.922815 | + | 1.25505i | ||||
\(19\) | 5.45825e6 | − | 5.45825e6i | 0.505718 | − | 0.505718i | −0.407491 | − | 0.913209i | \(-0.633596\pi\) |
0.913209 | + | 0.407491i | \(0.133596\pi\) | |||||||
\(20\) | −3.77067e6 | + | 7.19655e6i | −0.263484 | + | 0.502874i | ||||
\(21\) | −3.61902e7 | − | 3.61902e7i | −1.93368 | − | 1.93368i | ||||
\(22\) | −3.95480e6 | − | 2.59242e7i | −0.163606 | − | 1.07246i | ||||
\(23\) | 2.28696e6i | 0.0740893i | 0.999314 | + | 0.0370446i | \(0.0117944\pi\) | ||||
−0.999314 | + | 0.0370446i | \(0.988206\pi\) | |||||||
\(24\) | 2.73695e7 | + | 5.60631e7i | 0.701624 | + | 1.43719i | ||||
\(25\) | − | 3.30905e7i | − | 0.677694i | ||||||
\(26\) | 1.14282e8 | − | 1.74340e7i | 1.88636 | − | 0.287768i | ||||
\(27\) | 4.70326e7 | + | 4.70326e7i | 0.630810 | + | 0.630810i | ||||
\(28\) | −1.48634e8 | + | 4.64294e7i | −1.63211 | + | 0.509828i | ||||
\(29\) | 4.38084e7 | − | 4.38084e7i | 0.396615 | − | 0.396615i | −0.480422 | − | 0.877037i | \(-0.659517\pi\) |
0.877037 | + | 0.480422i | \(0.159517\pi\) | |||||||
\(30\) | 9.73609e7 | + | 7.15874e7i | 0.731506 | + | 0.537861i | ||||
\(31\) | 2.76655e7 | 0.173560 | 0.0867798 | − | 0.996228i | \(-0.472342\pi\) | ||||
0.0867798 | + | 0.996228i | \(0.472342\pi\) | |||||||
\(32\) | 1.89736e8 | + | 5.40367e6i | 0.999595 | + | 0.0284685i | ||||
\(33\) | −3.90064e8 | −1.73504 | ||||||||
\(34\) | 5.50009e7 | + | 4.04410e7i | 0.207604 | + | 0.152647i | ||||
\(35\) | −2.13285e8 | + | 2.13285e8i | −0.686413 | + | 0.686413i | ||||
\(36\) | 5.39459e8 | − | 1.68513e8i | 1.48694 | − | 0.464483i | ||||
\(37\) | 2.40566e8 | + | 2.40566e8i | 0.570327 | + | 0.570327i | 0.932220 | − | 0.361893i | \(-0.117869\pi\) |
−0.361893 | + | 0.932220i | \(0.617869\pi\) | |||||||
\(38\) | −3.45333e8 | + | 5.26813e7i | −0.707014 | + | 0.107857i | ||||
\(39\) | − | 1.71953e9i | − | 3.05178i | ||||||
\(40\) | 3.30404e8 | − | 1.61300e8i | 0.510171 | − | 0.249061i | ||||
\(41\) | − | 1.08336e8i | − | 0.146037i | −0.997331 | − | 0.0730184i | \(-0.976737\pi\) | ||
0.997331 | − | 0.0730184i | \(-0.0232632\pi\) | |||||||
\(42\) | 3.49296e8 | + | 2.28968e9i | 0.412404 | + | 2.70336i | ||||
\(43\) | 1.91015e8 | + | 1.91015e8i | 0.198149 | + | 0.198149i | 0.799206 | − | 0.601057i | \(-0.205254\pi\) |
−0.601057 | + | 0.799206i | \(0.705254\pi\) | |||||||
\(44\) | −5.50789e8 | + | 1.05121e9i | −0.503495 | + | 0.960951i | ||||
\(45\) | 7.74106e8 | − | 7.74106e8i | 0.625362 | − | 0.625362i | ||||
\(46\) | 6.13092e7 | − | 8.33822e7i | 0.0438892 | − | 0.0596905i | ||||
\(47\) | −1.72497e9 | −1.09709 | −0.548547 | − | 0.836120i | \(-0.684819\pi\) | ||||
−0.548547 | + | 0.836120i | \(0.684819\pi\) | |||||||
\(48\) | 5.05062e8 | − | 2.77778e9i | 0.286100 | − | 1.57351i | ||||
\(49\) | −3.80378e9 | −1.92370 | ||||||||
\(50\) | −8.87097e8 | + | 1.20648e9i | −0.401454 | + | 0.545989i | ||||
\(51\) | 7.18026e8 | − | 7.18026e8i | 0.291410 | − | 0.291410i | ||||
\(52\) | −4.63408e9 | − | 2.42805e9i | −1.69023 | − | 0.885603i | ||||
\(53\) | −8.00868e7 | − | 8.00868e7i | −0.0263053 | − | 0.0263053i | 0.693832 | − | 0.720137i | \(-0.255921\pi\) |
−0.720137 | + | 0.693832i | \(0.755921\pi\) | |||||||
\(54\) | −4.53944e8 | − | 2.97566e9i | −0.134536 | − | 0.881898i | ||||
\(55\) | 2.29882e9i | 0.615900i | ||||||||
\(56\) | 6.66386e9 | + | 2.29179e9i | 1.61693 | + | 0.556085i | ||||
\(57\) | 5.19599e9i | 1.14382i | ||||||||
\(58\) | −2.77167e9 | + | 4.22825e8i | −0.554483 | + | 0.0845877i | ||||
\(59\) | 6.70345e9 | + | 6.70345e9i | 1.22071 | + | 1.22071i | 0.967380 | + | 0.253328i | \(0.0815253\pi\) |
0.253328 | + | 0.967380i | \(0.418475\pi\) | |||||||
\(60\) | −1.63064e9 | − | 5.22014e9i | −0.270723 | − | 0.866663i | ||||
\(61\) | 9.82284e7 | − | 9.82284e7i | 0.0148910 | − | 0.0148910i | −0.699622 | − | 0.714513i | \(-0.746648\pi\) |
0.714513 | + | 0.699622i | \(0.246648\pi\) | |||||||
\(62\) | −1.00868e9 | − | 7.41661e8i | −0.139829 | − | 0.102814i | ||||
\(63\) | 2.09822e10 | 2.66366 | ||||||||
\(64\) | −6.77287e9 | − | 5.28348e9i | −0.788466 | − | 0.615078i | ||||
\(65\) | −1.01339e10 | −1.08331 | ||||||||
\(66\) | 1.42217e10 | + | 1.04569e10i | 1.39785 | + | 1.02781i | ||||
\(67\) | 6.92288e9 | − | 6.92288e9i | 0.626434 | − | 0.626434i | −0.320735 | − | 0.947169i | \(-0.603930\pi\) |
0.947169 | + | 0.320735i | \(0.103930\pi\) | |||||||
\(68\) | −9.21176e8 | − | 2.94895e9i | −0.0768323 | − | 0.245962i | ||||
\(69\) | −1.08854e9 | − | 1.08854e9i | −0.0837865 | − | 0.0837865i | ||||
\(70\) | 1.34941e10 | − | 2.05856e9i | 0.959632 | − | 0.146394i | ||||
\(71\) | 1.20473e9i | 0.0792443i | 0.999215 | + | 0.0396221i | \(0.0126154\pi\) | ||||
−0.999215 | + | 0.0396221i | \(0.987385\pi\) | |||||||
\(72\) | −2.41861e10 | − | 8.31795e9i | −1.47312 | − | 0.506626i | ||||
\(73\) | − | 2.00681e10i | − | 1.13300i | −0.824061 | − | 0.566501i | \(-0.808297\pi\) | ||
0.824061 | − | 0.566501i | \(-0.191703\pi\) | |||||||
\(74\) | −2.32186e9 | − | 1.52201e10i | −0.121636 | − | 0.797340i | ||||
\(75\) | 1.57503e10 | + | 1.57503e10i | 0.766394 | + | 0.766394i | ||||
\(76\) | 1.40031e10 | + | 7.33699e9i | 0.633503 | + | 0.331927i | ||||
\(77\) | −3.11549e10 | + | 3.11549e10i | −1.31168 | + | 1.31168i | ||||
\(78\) | −4.60973e10 | + | 6.26936e10i | −1.80782 | + | 2.45869i | ||||
\(79\) | −1.65053e10 | −0.603497 | −0.301748 | − | 0.953388i | \(-0.597570\pi\) | ||||
−0.301748 | + | 0.953388i | \(0.597570\pi\) | |||||||
\(80\) | −1.63707e10 | − | 2.97655e9i | −0.558562 | − | 0.101559i | ||||
\(81\) | 4.11263e9 | 0.131054 | ||||||||
\(82\) | −2.90430e9 | + | 3.94992e9i | −0.0865097 | + | 0.117656i | ||||
\(83\) | 2.19541e10 | − | 2.19541e10i | 0.611768 | − | 0.611768i | −0.331638 | − | 0.943407i | \(-0.607601\pi\) |
0.943407 | + | 0.331638i | \(0.107601\pi\) | |||||||
\(84\) | 4.86469e10 | − | 9.28455e10i | 1.26917 | − | 2.42228i | ||||
\(85\) | −4.23165e9 | − | 4.23165e9i | −0.103444 | − | 0.103444i | ||||
\(86\) | −1.84362e9 | − | 1.20852e10i | −0.0422600 | − | 0.277020i | ||||
\(87\) | 4.17036e10i | 0.897051i | ||||||||
\(88\) | 4.82628e10 | − | 2.35614e10i | 0.974895 | − | 0.475935i | ||||
\(89\) | 3.11065e10i | 0.590482i | 0.955423 | + | 0.295241i | \(0.0953999\pi\) | ||||
−0.955423 | + | 0.295241i | \(0.904600\pi\) | |||||||
\(90\) | −4.89762e10 | + | 7.47143e9i | −0.874281 | + | 0.133374i | ||||
\(91\) | −1.37341e11 | − | 1.37341e11i | −2.30712 | − | 2.30712i | ||||
\(92\) | −4.47065e9 | + | 1.39652e9i | −0.0707193 | + | 0.0220909i | ||||
\(93\) | −1.31681e10 | + | 1.31681e10i | −0.196276 | + | 0.196276i | ||||
\(94\) | 6.28922e10 | + | 4.62433e10i | 0.883880 | + | 0.649899i | ||||
\(95\) | 3.06223e10 | 0.406030 | ||||||||
\(96\) | −9.28817e10 | + | 8.77376e10i | −1.16262 | + | 1.09823i | ||||
\(97\) | −1.12128e9 | −0.0132577 | −0.00662884 | − | 0.999978i | \(-0.502110\pi\) | ||||
−0.00662884 | + | 0.999978i | \(0.502110\pi\) | |||||||
\(98\) | 1.38685e11 | + | 1.01972e11i | 1.54984 | + | 1.13957i | ||||
\(99\) | 1.13075e11 | − | 1.13075e11i | 1.19502 | − | 1.19502i | ||||
\(100\) | 6.46869e10 | − | 2.02065e10i | 0.646869 | − | 0.202065i | ||||
\(101\) | −6.44136e10 | − | 6.44136e10i | −0.609831 | − | 0.609831i | 0.333071 | − | 0.942902i | \(-0.391915\pi\) |
−0.942902 | + | 0.333071i | \(0.891915\pi\) | |||||||
\(102\) | −4.54281e10 | + | 6.93017e9i | −0.407403 | + | 0.0621502i | ||||
\(103\) | 1.57692e11i | 1.34031i | 0.742220 | + | 0.670156i | \(0.233773\pi\) | ||||
−0.742220 | + | 0.670156i | \(0.766227\pi\) | |||||||
\(104\) | 1.03866e11 | + | 2.12757e11i | 0.837126 | + | 1.71475i | ||||
\(105\) | − | 2.03037e11i | − | 1.55251i | ||||||
\(106\) | 7.72973e8 | + | 5.06693e9i | 0.00561024 | + | 0.0367759i | ||||
\(107\) | 1.50680e11 | + | 1.50680e11i | 1.03859 | + | 1.03859i | 0.999225 | + | 0.0393645i | \(0.0125334\pi\) |
0.0393645 | + | 0.999225i | \(0.487467\pi\) | |||||||
\(108\) | −6.32214e10 | + | 1.20662e11i | −0.414031 | + | 0.790203i | ||||
\(109\) | 1.00044e11 | − | 1.00044e11i | 0.622793 | − | 0.622793i | −0.323452 | − | 0.946245i | \(-0.604843\pi\) |
0.946245 | + | 0.323452i | \(0.104843\pi\) | |||||||
\(110\) | 6.16272e10 | − | 8.38147e10i | 0.364849 | − | 0.496204i | ||||
\(111\) | −2.29007e11 | −1.28995 | ||||||||
\(112\) | −1.81525e11 | − | 2.62204e11i | −0.973277 | − | 1.40586i | ||||
\(113\) | −3.10659e11 | −1.58618 | −0.793090 | − | 0.609105i | \(-0.791529\pi\) | ||||
−0.793090 | + | 0.609105i | \(0.791529\pi\) | |||||||
\(114\) | 1.39295e11 | − | 1.89445e11i | 0.677578 | − | 0.921525i | ||||
\(115\) | −6.41524e9 | + | 6.41524e9i | −0.0297423 | + | 0.0297423i | ||||
\(116\) | 1.12390e11 | + | 5.88874e10i | 0.496831 | + | 0.260317i | ||||
\(117\) | 4.98470e11 | + | 4.98470e11i | 2.10192 | + | 2.10192i | ||||
\(118\) | −6.46996e10 | − | 4.24114e11i | −0.260346 | − | 1.70660i | ||||
\(119\) | − | 1.14699e11i | − | 0.440608i | ||||||
\(120\) | −8.04896e10 | + | 2.34040e11i | −0.295286 | + | 0.858604i | ||||
\(121\) | 5.04814e10i | 0.176934i | ||||||||
\(122\) | −6.21472e9 | + | 9.48070e8i | −0.0208182 | + | 0.00317586i | ||||
\(123\) | 5.15655e10 | + | 5.15655e10i | 0.165151 | + | 0.165151i | ||||
\(124\) | 1.68937e10 | + | 5.40817e10i | 0.0517495 | + | 0.165665i | ||||
\(125\) | 2.29793e11 | − | 2.29793e11i | 0.673491 | − | 0.673491i | ||||
\(126\) | −7.65009e11 | − | 5.62495e11i | −2.14600 | − | 1.57791i | ||||
\(127\) | −1.13068e11 | −0.303683 | −0.151842 | − | 0.988405i | \(-0.548520\pi\) | ||||
−0.151842 | + | 0.988405i | \(0.548520\pi\) | |||||||
\(128\) | 1.05297e11 | + | 3.74203e11i | 0.270871 | + | 0.962616i | ||||
\(129\) | −1.81837e11 | −0.448167 | ||||||||
\(130\) | 3.69481e11 | + | 2.71672e11i | 0.872778 | + | 0.641736i | ||||
\(131\) | −4.98223e11 | + | 4.98223e11i | −1.12832 | + | 1.12832i | −0.137868 | + | 0.990451i | \(0.544025\pi\) |
−0.990451 | + | 0.137868i | \(0.955975\pi\) | |||||||
\(132\) | −2.38190e11 | − | 7.62515e11i | −0.517329 | − | 1.65612i | ||||
\(133\) | 4.15010e11 | + | 4.15010e11i | 0.864718 | + | 0.864718i | ||||
\(134\) | −4.37997e11 | + | 6.68175e10i | −0.875780 | + | 0.133602i | ||||
\(135\) | 2.63866e11i | 0.506463i | ||||||||
\(136\) | −4.54700e10 | + | 1.32213e11i | −0.0838033 | + | 0.243675i | ||||
\(137\) | − | 1.09163e11i | − | 0.193246i | −0.995321 | − | 0.0966231i | \(-0.969196\pi\) | ||
0.995321 | − | 0.0966231i | \(-0.0308041\pi\) | |||||||
\(138\) | 1.05062e10 | + | 6.88697e10i | 0.0178695 | + | 0.117137i | ||||
\(139\) | −3.81502e11 | − | 3.81502e11i | −0.623614 | − | 0.623614i | 0.322840 | − | 0.946454i | \(-0.395362\pi\) |
−0.946454 | + | 0.322840i | \(0.895362\pi\) | |||||||
\(140\) | −5.47179e11 | − | 2.86698e11i | −0.859856 | − | 0.450526i | ||||
\(141\) | 8.21045e11 | − | 8.21045e11i | 1.24069 | − | 1.24069i | ||||
\(142\) | 3.22966e10 | − | 4.39242e10i | 0.0469429 | − | 0.0638437i | ||||
\(143\) | −1.48028e12 | −2.07012 | ||||||||
\(144\) | 6.58834e11 | + | 9.51657e11i | 0.886711 | + | 1.28082i | ||||
\(145\) | 2.45777e11 | 0.318433 | ||||||||
\(146\) | −5.37989e11 | + | 7.31680e11i | −0.671170 | + | 0.912810i | ||||
\(147\) | 1.81051e12 | − | 1.81051e12i | 2.17548 | − | 2.17548i | ||||
\(148\) | −3.23369e11 | + | 6.17168e11i | −0.374333 | + | 0.714437i | ||||
\(149\) | 9.96155e11 | + | 9.96155e11i | 1.11123 | + | 1.11123i | 0.992985 | + | 0.118241i | \(0.0377256\pi\) |
0.118241 | + | 0.992985i | \(0.462274\pi\) | |||||||
\(150\) | −1.52017e11 | − | 9.96491e11i | −0.163452 | − | 1.07145i | ||||
\(151\) | 7.33435e11i | 0.760306i | 0.924924 | + | 0.380153i | \(0.124129\pi\) | ||||
−0.924924 | + | 0.380153i | \(0.875871\pi\) | |||||||
\(152\) | −3.13859e11 | − | 6.42902e11i | −0.313758 | − | 0.642695i | ||||
\(153\) | 4.16295e11i | 0.401419i | ||||||||
\(154\) | 1.97111e12 | − | 3.00697e11i | 1.83378 | − | 0.279747i | ||||
\(155\) | 7.76054e10 | + | 7.76054e10i | 0.0696735 | + | 0.0696735i | ||||
\(156\) | 3.36140e12 | − | 1.05002e12i | 2.91297 | − | 0.909936i | ||||
\(157\) | −1.44765e12 | + | 1.44765e12i | −1.21120 | + | 1.21120i | −0.240569 | + | 0.970632i | \(0.577334\pi\) |
−0.970632 | + | 0.240569i | \(0.922666\pi\) | |||||||
\(158\) | 6.01782e11 | + | 4.42477e11i | 0.486211 | + | 0.357501i | ||||
\(159\) | 7.62388e10 | 0.0594966 | ||||||||
\(160\) | 5.17076e11 | + | 5.47393e11i | 0.389848 | + | 0.412704i | ||||
\(161\) | −1.73886e11 | −0.126684 | ||||||||
\(162\) | −1.49946e11 | − | 1.10252e11i | −0.105585 | − | 0.0776344i | ||||
\(163\) | −3.22436e11 | + | 3.22436e11i | −0.219488 | + | 0.219488i | −0.808283 | − | 0.588795i | \(-0.799603\pi\) |
0.588795 | + | 0.808283i | \(0.299603\pi\) | |||||||
\(164\) | 2.11780e11 | − | 6.61548e10i | 0.139394 | − | 0.0435432i | ||||
\(165\) | −1.09418e12 | − | 1.09418e12i | −0.696512 | − | 0.696512i | ||||
\(166\) | −1.38900e12 | + | 2.11895e11i | −0.855276 | + | 0.130474i | ||||
\(167\) | 2.78508e12i | 1.65920i | 0.558361 | + | 0.829598i | \(0.311430\pi\) | ||||
−0.558361 | + | 0.829598i | \(0.688570\pi\) | |||||||
\(168\) | −4.26268e12 | + | 2.08100e12i | −2.45743 | + | 1.19970i | ||||
\(169\) | − | 4.73338e12i | − | 2.64116i | ||||||
\(170\) | 4.08425e10 | + | 2.67728e11i | 0.0220619 | + | 0.144619i | ||||
\(171\) | −1.50626e12 | − | 1.50626e12i | −0.787809 | − | 0.787809i | ||||
\(172\) | −2.56763e11 | + | 4.90047e11i | −0.130055 | + | 0.248217i | ||||
\(173\) | 1.03081e12 | − | 1.03081e12i | 0.505740 | − | 0.505740i | −0.407476 | − | 0.913216i | \(-0.633591\pi\) |
0.913216 | + | 0.407476i | \(0.133591\pi\) | |||||||
\(174\) | 1.11800e12 | − | 1.52051e12i | 0.531398 | − | 0.722715i | ||||
\(175\) | 2.51599e12 | 1.15878 | ||||||||
\(176\) | −2.39129e12 | − | 4.34791e11i | −1.06737 | − | 0.194071i | ||||
\(177\) | −6.38136e12 | −2.76096 | ||||||||
\(178\) | 8.33909e11 | − | 1.13414e12i | 0.349791 | − | 0.475726i | ||||
\(179\) | 1.53907e12 | − | 1.53907e12i | 0.625990 | − | 0.625990i | −0.321066 | − | 0.947057i | \(-0.604041\pi\) |
0.947057 | + | 0.321066i | \(0.104041\pi\) | |||||||
\(180\) | 1.98596e12 | + | 1.04055e12i | 0.783378 | + | 0.410455i | ||||
\(181\) | −1.04299e12 | − | 1.04299e12i | −0.399070 | − | 0.399070i | 0.478835 | − | 0.877905i | \(-0.341059\pi\) |
−0.877905 | + | 0.478835i | \(0.841059\pi\) | |||||||
\(182\) | 1.32557e12 | + | 8.68927e12i | 0.492050 | + | 3.22545i | ||||
\(183\) | 9.35088e10i | 0.0336799i | ||||||||
\(184\) | 2.00437e11 | + | 6.89332e10i | 0.0700617 | + | 0.0240952i | ||||
\(185\) | 1.34964e12i | 0.457903i | ||||||||
\(186\) | 8.33120e11 | − | 1.27094e11i | 0.274401 | − | 0.0418606i | ||||
\(187\) | −6.18124e11 | − | 6.18124e11i | −0.197673 | − | 0.197673i | ||||
\(188\) | −1.05334e12 | − | 3.37205e12i | −0.327115 | − | 1.04719i | ||||
\(189\) | −3.57606e12 | + | 3.57606e12i | −1.07861 | + | 1.07861i | ||||
\(190\) | −1.11648e12 | − | 8.20927e11i | −0.327120 | − | 0.240525i | ||||
\(191\) | −5.44868e11 | −0.155099 | −0.0775494 | − | 0.996989i | \(-0.524710\pi\) | ||||
−0.0775494 | + | 0.996989i | \(0.524710\pi\) | |||||||
\(192\) | 5.73854e12 | − | 7.08914e11i | 1.58725 | − | 0.196082i | ||||
\(193\) | 4.82936e12 | 1.29815 | 0.649074 | − | 0.760725i | \(-0.275157\pi\) | ||||
0.649074 | + | 0.760725i | \(0.275157\pi\) | |||||||
\(194\) | 4.08815e10 | + | 3.00593e10i | 0.0106811 | + | 0.00785362i | ||||
\(195\) | 4.82350e12 | − | 4.82350e12i | 1.22510 | − | 1.22510i | ||||
\(196\) | −2.32275e12 | − | 7.43580e12i | −0.573581 | − | 1.83620i | ||||
\(197\) | 1.97463e12 | + | 1.97463e12i | 0.474156 | + | 0.474156i | 0.903257 | − | 0.429101i | \(-0.141169\pi\) |
−0.429101 | + | 0.903257i | \(0.641169\pi\) | |||||||
\(198\) | −7.15404e12 | + | 1.09137e12i | −1.67068 | + | 0.254866i | ||||
\(199\) | − | 8.29074e11i | − | 0.188322i | −0.995557 | − | 0.0941610i | \(-0.969983\pi\) | ||
0.995557 | − | 0.0941610i | \(-0.0300169\pi\) | |||||||
\(200\) | −2.90017e12 | − | 9.97410e11i | −0.640854 | − | 0.220399i | ||||
\(201\) | 6.59026e12i | 1.41685i | ||||||||
\(202\) | 6.21700e11 | + | 4.07532e12i | 0.130061 | + | 0.852568i | ||||
\(203\) | 3.33091e12 | + | 3.33091e12i | 0.678165 | + | 0.678165i | ||||
\(204\) | 1.84209e12 | + | 9.65172e11i | 0.365043 | + | 0.191267i | ||||
\(205\) | 3.03898e11 | − | 3.03898e11i | 0.0586248 | − | 0.0586248i | ||||
\(206\) | 4.22744e12 | − | 5.74944e12i | 0.793977 | − | 1.07983i | ||||
\(207\) | 6.31109e11 | 0.115416 | ||||||||
\(208\) | 1.91669e12 | − | 1.05416e13i | 0.341353 | − | 1.87740i | ||||
\(209\) | 4.47305e12 | 0.775889 | ||||||||
\(210\) | −5.44305e12 | + | 7.40270e12i | −0.919679 | + | 1.25079i | ||||
\(211\) | −6.62494e12 | + | 6.62494e12i | −1.09051 | + | 1.09051i | −0.0950325 | + | 0.995474i | \(0.530296\pi\) |
−0.995474 | + | 0.0950325i | \(0.969704\pi\) | |||||||
\(212\) | 1.07653e11 | − | 2.05462e11i | 0.0172655 | − | 0.0329521i | ||||
\(213\) | −5.73422e11 | − | 5.73422e11i | −0.0896162 | − | 0.0896162i | ||||
\(214\) | −1.45431e12 | − | 9.53321e12i | −0.221504 | − | 1.45199i | ||||
\(215\) | 1.07165e12i | 0.159089i | ||||||||
\(216\) | 5.53976e12 | − | 2.70446e12i | 0.801670 | − | 0.391368i | ||||
\(217\) | 2.10350e12i | 0.296767i | ||||||||
\(218\) | −6.32957e12 | + | 9.65590e11i | −0.870689 | + | 0.132826i | ||||
\(219\) | 9.55194e12 | + | 9.55194e12i | 1.28129 | + | 1.28129i | ||||
\(220\) | −4.49384e12 | + | 1.40376e12i | −0.587885 | + | 0.183640i | ||||
\(221\) | 2.72488e12 | − | 2.72488e12i | 0.347689 | − | 0.347689i | ||||
\(222\) | 8.34957e12 | + | 6.13926e12i | 1.03926 | + | 0.764143i | ||||
\(223\) | 4.00358e12 | 0.486152 | 0.243076 | − | 0.970007i | \(-0.421844\pi\) | ||||
0.243076 | + | 0.970007i | \(0.421844\pi\) | |||||||
\(224\) | −4.10861e11 | + | 1.44263e13i | −0.0486777 | + | 1.70919i | ||||
\(225\) | −9.13166e12 | −1.05571 | ||||||||
\(226\) | 1.13266e13 | + | 8.32820e12i | 1.27792 | + | 0.939625i | ||||
\(227\) | −3.84203e12 | + | 3.84203e12i | −0.423076 | + | 0.423076i | −0.886261 | − | 0.463185i | \(-0.846706\pi\) |
0.463185 | + | 0.886261i | \(0.346706\pi\) | |||||||
\(228\) | −1.01574e13 | + | 3.17290e12i | −1.09179 | + | 0.341047i | ||||
\(229\) | 2.03856e12 | + | 2.03856e12i | 0.213909 | + | 0.213909i | 0.805926 | − | 0.592017i | \(-0.201668\pi\) |
−0.592017 | + | 0.805926i | \(0.701668\pi\) | |||||||
\(230\) | 4.05880e11 | − | 6.19179e10i | 0.0415809 | − | 0.00634327i | ||||
\(231\) | − | 2.96580e13i | − | 2.96672i | ||||||
\(232\) | −2.51906e12 | − | 5.16000e12i | −0.246068 | − | 0.504041i | ||||
\(233\) | − | 1.18553e13i | − | 1.13098i | −0.824754 | − | 0.565491i | \(-0.808687\pi\) | ||
0.824754 | − | 0.565491i | \(-0.191313\pi\) | |||||||
\(234\) | −4.81108e12 | − | 3.15372e13i | −0.448286 | − | 2.93857i | ||||
\(235\) | −4.83878e12 | − | 4.83878e12i | −0.440416 | − | 0.440416i | ||||
\(236\) | −9.01078e12 | + | 1.71976e13i | −0.801210 | + | 1.52916i | ||||
\(237\) | 7.85614e12 | − | 7.85614e12i | 0.682485 | − | 0.682485i | ||||
\(238\) | −3.07488e12 | + | 4.18192e12i | −0.261008 | + | 0.354979i | ||||
\(239\) | −4.13763e11 | −0.0343213 | −0.0171606 | − | 0.999853i | \(-0.505463\pi\) | ||||
−0.0171606 | + | 0.999853i | \(0.505463\pi\) | |||||||
\(240\) | 9.20882e12 | − | 6.37528e12i | 0.746521 | − | 0.516818i | ||||
\(241\) | −6.66336e12 | −0.527958 | −0.263979 | − | 0.964528i | \(-0.585035\pi\) | ||||
−0.263979 | + | 0.964528i | \(0.585035\pi\) | |||||||
\(242\) | 1.35332e12 | − | 1.84055e12i | 0.104813 | − | 0.142548i | ||||
\(243\) | −1.02892e13 | + | 1.02892e13i | −0.779018 | + | 0.779018i | ||||
\(244\) | 2.52004e11 | + | 1.32039e11i | 0.0186536 | + | 0.00977366i | ||||
\(245\) | −1.06701e13 | − | 1.06701e13i | −0.772247 | − | 0.772247i | ||||
\(246\) | −4.97694e11 | − | 3.26245e12i | −0.0352224 | − | 0.230887i | ||||
\(247\) | 1.97186e13i | 1.36472i | ||||||||
\(248\) | 8.33888e11 | − | 2.42470e12i | 0.0564448 | − | 0.164125i | ||||
\(249\) | 2.08993e13i | 1.38368i | ||||||||
\(250\) | −1.45386e13 | + | 2.21789e12i | −0.941567 | + | 0.143638i | ||||
\(251\) | −4.35293e12 | − | 4.35293e12i | −0.275788 | − | 0.275788i | 0.555637 | − | 0.831425i | \(-0.312475\pi\) |
−0.831425 | + | 0.555637i | \(0.812475\pi\) | |||||||
\(252\) | 1.28127e13 | + | 4.10170e13i | 0.794212 | + | 2.54250i | ||||
\(253\) | −9.37086e11 | + | 9.37086e11i | −0.0568351 | + | 0.0568351i | ||||
\(254\) | 4.12246e12 | + | 3.03116e12i | 0.244664 | + | 0.179897i | ||||
\(255\) | 4.02833e12 | 0.233966 | ||||||||
\(256\) | 6.19258e12 | − | 1.64662e13i | 0.352007 | − | 0.935997i | ||||
\(257\) | 8.08461e12 | 0.449808 | 0.224904 | − | 0.974381i | \(-0.427793\pi\) | ||||
0.224904 | + | 0.974381i | \(0.427793\pi\) | |||||||
\(258\) | 6.62977e12 | + | 4.87473e12i | 0.361069 | + | 0.265486i | ||||
\(259\) | −1.82911e13 | + | 1.82911e13i | −0.975193 | + | 0.975193i | ||||
\(260\) | −6.18821e12 | − | 1.98102e13i | −0.323007 | − | 1.03404i | ||||
\(261\) | −1.20894e13 | − | 1.20894e13i | −0.617847 | − | 0.617847i | ||||
\(262\) | 3.15216e13 | − | 4.80869e12i | 1.57743 | − | 0.240641i | ||||
\(263\) | − | 1.83271e13i | − | 0.898127i | −0.893500 | − | 0.449064i | \(-0.851758\pi\) | ||
0.893500 | − | 0.449064i | \(-0.148242\pi\) | |||||||
\(264\) | −1.17573e13 | + | 3.41866e13i | −0.564267 | + | 1.64072i | ||||
\(265\) | − | 4.49309e11i | − | 0.0211199i | ||||||
\(266\) | −4.00555e12 | − | 2.62569e13i | −0.184422 | − | 1.20891i | ||||
\(267\) | −1.48060e13 | − | 1.48060e13i | −0.667767 | − | 0.667767i | ||||
\(268\) | 1.77606e13 | + | 9.30575e12i | 0.784722 | + | 0.411159i | ||||
\(269\) | −8.88707e12 | + | 8.88707e12i | −0.384699 | + | 0.384699i | −0.872792 | − | 0.488093i | \(-0.837693\pi\) |
0.488093 | + | 0.872792i | \(0.337693\pi\) | |||||||
\(270\) | 7.07377e12 | − | 9.62052e12i | 0.300020 | − | 0.408036i | ||||
\(271\) | −3.04500e13 | −1.26548 | −0.632742 | − | 0.774363i | \(-0.718071\pi\) | ||||
−0.632742 | + | 0.774363i | \(0.718071\pi\) | |||||||
\(272\) | 5.20223e12 | − | 3.60151e12i | 0.211866 | − | 0.146675i | ||||
\(273\) | 1.30742e14 | 5.21819 | ||||||||
\(274\) | −2.92645e12 | + | 3.98005e12i | −0.114476 | + | 0.155690i | ||||
\(275\) | 1.35589e13 | − | 1.35589e13i | 0.519870 | − | 0.519870i | ||||
\(276\) | 1.46322e12 | − | 2.79263e12i | 0.0549931 | − | 0.104958i | ||||
\(277\) | −1.57011e13 | − | 1.57011e13i | −0.578486 | − | 0.578486i | 0.356000 | − | 0.934486i | \(-0.384140\pi\) |
−0.934486 | + | 0.356000i | \(0.884140\pi\) | |||||||
\(278\) | 3.68214e12 | + | 2.41369e13i | 0.133001 | + | 0.871836i | ||||
\(279\) | − | 7.63456e12i | − | 0.270371i | ||||||
\(280\) | 1.22642e13 | + | 2.51218e13i | 0.425865 | + | 0.872333i | ||||
\(281\) | − | 2.15542e13i | − | 0.733919i | −0.930237 | − | 0.366959i | \(-0.880399\pi\) | ||
0.930237 | − | 0.366959i | \(-0.119601\pi\) | |||||||
\(282\) | −5.19459e13 | + | 7.92447e12i | −1.73453 | + | 0.264606i | ||||
\(283\) | −9.93257e12 | − | 9.93257e12i | −0.325264 | − | 0.325264i | 0.525518 | − | 0.850782i | \(-0.323871\pi\) |
−0.850782 | + | 0.525518i | \(0.823871\pi\) | |||||||
\(284\) | −2.35506e12 | + | 7.35659e11i | −0.0756398 | + | 0.0236279i | ||||
\(285\) | −1.45755e13 | + | 1.45755e13i | −0.459173 | + | 0.459173i | ||||
\(286\) | 5.39708e13 | + | 3.96836e13i | 1.66781 | + | 1.22630i | ||||
\(287\) | 8.23719e12 | 0.249706 | ||||||||
\(288\) | 1.49120e12 | − | 5.23594e13i | 0.0443482 | − | 1.55717i | ||||
\(289\) | −3.19962e13 | −0.933599 | ||||||||
\(290\) | −8.96101e12 | − | 6.58884e12i | −0.256548 | − | 0.188634i | ||||
\(291\) | 5.33701e11 | − | 5.33701e11i | 0.0149929 | − | 0.0149929i | ||||
\(292\) | 3.92300e13 | − | 1.22545e13i | 1.08147 | − | 0.337822i | ||||
\(293\) | 3.63841e13 | + | 3.63841e13i | 0.984327 | + | 0.984327i | 0.999879 | − | 0.0155521i | \(-0.00495060\pi\) |
−0.0155521 | + | 0.999879i | \(0.504951\pi\) | |||||||
\(294\) | −1.14547e14 | + | 1.74745e13i | −3.04141 | + | 0.463974i | ||||
\(295\) | 3.76082e13i | 0.980079i | ||||||||
\(296\) | 2.83351e13 | − | 1.38329e13i | 0.724805 | − | 0.353843i | ||||
\(297\) | 3.85434e13i | 0.967809i | ||||||||
\(298\) | −9.61458e12 | − | 6.30248e13i | −0.236996 | − | 1.55354i | ||||
\(299\) | −4.13097e12 | − | 4.13097e12i | −0.0999678 | − | 0.0999678i | ||||
\(300\) | −2.11716e13 | + | 4.04072e13i | −0.503022 | + | 0.960046i | ||||
\(301\) | −1.45236e13 | + | 1.45236e13i | −0.338811 | + | 0.338811i | ||||
\(302\) | 1.96620e13 | − | 2.67409e13i | 0.450392 | − | 0.612545i | ||||
\(303\) | 6.13187e13 | 1.37930 | ||||||||
\(304\) | −5.79179e12 | + | 3.18541e13i | −0.127940 | + | 0.703657i | ||||
\(305\) | 5.51088e11 | 0.0119556 | ||||||||
\(306\) | 1.11601e13 | − | 1.51781e13i | 0.237794 | − | 0.323406i | ||||
\(307\) | −4.26294e13 | + | 4.26294e13i | −0.892171 | + | 0.892171i | −0.994727 | − | 0.102556i | \(-0.967298\pi\) |
0.102556 | + | 0.994727i | \(0.467298\pi\) | |||||||
\(308\) | −7.99275e13 | − | 4.18785e13i | −1.64311 | − | 0.860918i | ||||
\(309\) | −7.50578e13 | − | 7.50578e13i | −1.51574 | − | 1.51574i | ||||
\(310\) | −7.49023e11 | − | 4.90994e12i | −0.0148596 | − | 0.0974063i | ||||
\(311\) | − | 5.98356e13i | − | 1.16621i | −0.812396 | − | 0.583106i | \(-0.801837\pi\) | ||
0.812396 | − | 0.583106i | \(-0.198163\pi\) | |||||||
\(312\) | −1.50705e14 | − | 5.18297e13i | −2.88588 | − | 0.992495i | ||||
\(313\) | 6.26571e13i | 1.17890i | 0.807805 | + | 0.589449i | \(0.200655\pi\) | ||||
−0.807805 | + | 0.589449i | \(0.799345\pi\) | |||||||
\(314\) | 9.15901e13 | − | 1.39723e13i | 1.69331 | − | 0.258318i | ||||
\(315\) | 5.88581e13 | + | 5.88581e13i | 1.06930 | + | 1.06930i | ||||
\(316\) | −1.00789e13 | − | 3.22653e13i | −0.179942 | − | 0.576046i | ||||
\(317\) | 8.32656e12 | − | 8.32656e12i | 0.146096 | − | 0.146096i | −0.630275 | − | 0.776372i | \(-0.717058\pi\) |
0.776372 | + | 0.630275i | \(0.217058\pi\) | |||||||
\(318\) | −2.77966e12 | − | 2.04382e12i | −0.0479338 | − | 0.0352447i | ||||
\(319\) | 3.59012e13 | 0.608499 | ||||||||
\(320\) | −4.17794e12 | − | 3.38197e13i | −0.0696045 | − | 0.563437i | ||||
\(321\) | −1.43440e14 | −2.34905 | ||||||||
\(322\) | 6.33985e12 | + | 4.66156e12i | 0.102064 | + | 0.0750454i | ||||
\(323\) | −8.23395e12 | + | 8.23395e12i | −0.130315 | + | 0.130315i | ||||
\(324\) | 2.51135e12 | + | 8.03955e12i | 0.0390759 | + | 0.125093i | ||||
\(325\) | 5.97719e13 | + | 5.97719e13i | 0.914404 | + | 0.914404i | ||||
\(326\) | 2.03999e13 | − | 3.11205e12i | 0.306853 | − | 0.0468112i | ||||
\(327\) | 9.52368e13i | 1.40862i | ||||||||
\(328\) | −9.49497e12 | − | 3.26545e12i | −0.138098 | − | 0.0474939i | ||||
\(329\) | − | 1.31156e14i | − | 1.87590i | ||||||
\(330\) | 1.05607e13 | + | 6.92269e13i | 0.148548 | + | 0.973752i | ||||
\(331\) | 8.11137e13 | + | 8.11137e13i | 1.12212 | + | 1.12212i | 0.991422 | + | 0.130701i | \(0.0417227\pi\) |
0.130701 | + | 0.991422i | \(0.458277\pi\) | |||||||
\(332\) | 5.63231e13 | + | 2.95108e13i | 0.766350 | + | 0.401533i | ||||
\(333\) | 6.63865e13 | − | 6.63865e13i | 0.888457 | − | 0.888457i | ||||
\(334\) | 7.46630e13 | − | 1.01544e14i | 0.982879 | − | 1.33674i | ||||
\(335\) | 3.88393e13 | 0.502950 | ||||||||
\(336\) | 2.11205e14 | + | 3.84017e13i | 2.69053 | + | 0.489198i | ||||
\(337\) | −5.00143e13 | −0.626801 | −0.313401 | − | 0.949621i | \(-0.601468\pi\) | ||||
−0.313401 | + | 0.949621i | \(0.601468\pi\) | |||||||
\(338\) | −1.26893e14 | + | 1.72578e14i | −1.56458 | + | 2.12787i | ||||
\(339\) | 1.47866e14 | − | 1.47866e14i | 1.79379 | − | 1.79379i | ||||
\(340\) | 5.68818e12 | − | 1.08562e13i | 0.0678953 | − | 0.129582i | ||||
\(341\) | 1.13360e13 | + | 1.13360e13i | 0.133140 | + | 0.133140i | ||||
\(342\) | 1.45379e13 | + | 9.52980e13i | 0.168019 | + | 1.10139i | ||||
\(343\) | − | 1.38872e14i | − | 1.57942i | ||||||
\(344\) | 2.24988e13 | − | 1.09837e13i | 0.251819 | − | 0.122936i | ||||
\(345\) | − | 6.10700e12i | − | 0.0672703i | ||||||
\(346\) | −6.52176e13 | + | 9.94910e12i | −0.707044 | + | 0.107861i | ||||
\(347\) | −7.02184e13 | − | 7.02184e13i | −0.749271 | − | 0.749271i | 0.225072 | − | 0.974342i | \(-0.427738\pi\) |
−0.974342 | + | 0.225072i | \(0.927738\pi\) | |||||||
\(348\) | −8.15240e13 | + | 2.54660e13i | −0.856248 | + | 0.267470i | ||||
\(349\) | −8.07392e13 | + | 8.07392e13i | −0.834728 | + | 0.834728i | −0.988159 | − | 0.153432i | \(-0.950968\pi\) |
0.153432 | + | 0.988159i | \(0.450968\pi\) | |||||||
\(350\) | −9.17327e13 | − | 6.74492e13i | −0.933577 | − | 0.686440i | ||||
\(351\) | −1.69911e14 | −1.70229 | ||||||||
\(352\) | 7.55303e13 | + | 7.99587e13i | 0.744967 | + | 0.788644i | ||||
\(353\) | −5.65562e13 | −0.549186 | −0.274593 | − | 0.961561i | \(-0.588543\pi\) | ||||
−0.274593 | + | 0.961561i | \(0.588543\pi\) | |||||||
\(354\) | 2.32664e14 | + | 1.71073e14i | 2.22439 | + | 1.63555i | ||||
\(355\) | −3.37943e12 | + | 3.37943e12i | −0.0318117 | + | 0.0318117i | ||||
\(356\) | −6.08084e13 | + | 1.89950e13i | −0.563623 | + | 0.176061i | ||||
\(357\) | 5.45941e13 | + | 5.45941e13i | 0.498277 | + | 0.498277i | ||||
\(358\) | −9.73742e13 | + | 1.48547e13i | −0.875159 | + | 0.133508i | ||||
\(359\) | − | 1.91411e13i | − | 0.169413i | −0.996406 | − | 0.0847065i | \(-0.973005\pi\) | ||
0.996406 | − | 0.0847065i | \(-0.0269953\pi\) | |||||||
\(360\) | −4.45124e13 | − | 9.11784e13i | −0.387987 | − | 0.794746i | ||||
\(361\) | 5.69053e13i | 0.488499i | ||||||||
\(362\) | 1.00666e13 | + | 6.59881e13i | 0.0851113 | + | 0.557916i | ||||
\(363\) | −2.40280e13 | − | 2.40280e13i | −0.200092 | − | 0.200092i | ||||
\(364\) | 1.84613e14 | − | 3.52345e14i | 1.51428 | − | 2.89009i | ||||
\(365\) | 5.62938e13 | − | 5.62938e13i | 0.454831 | − | 0.454831i | ||||
\(366\) | 2.50680e12 | − | 3.40932e12i | 0.0199514 | − | 0.0271345i | ||||
\(367\) | −1.09458e14 | −0.858189 | −0.429095 | − | 0.903260i | \(-0.641167\pi\) | ||||
−0.429095 | + | 0.903260i | \(0.641167\pi\) | |||||||
\(368\) | −5.45995e12 | − | 7.88666e12i | −0.0421721 | − | 0.0609158i | ||||
\(369\) | −2.98965e13 | −0.227496 | ||||||||
\(370\) | 3.61814e13 | − | 4.92077e13i | 0.271254 | − | 0.368913i | ||||
\(371\) | 6.08929e12 | − | 6.08929e12i | 0.0449790 | − | 0.0449790i | ||||
\(372\) | −3.37826e13 | − | 1.77006e13i | −0.245871 | − | 0.128825i | ||||
\(373\) | −8.82988e13 | − | 8.82988e13i | −0.633222 | − | 0.633222i | 0.315652 | − | 0.948875i | \(-0.397777\pi\) |
−0.948875 | + | 0.315652i | \(0.897777\pi\) | |||||||
\(374\) | 5.96594e12 | + | 3.91075e13i | 0.0421585 | + | 0.276354i | ||||
\(375\) | 2.18752e14i | 1.52328i | ||||||||
\(376\) | −5.19938e13 | + | 1.51183e14i | −0.356795 | + | 1.03745i | ||||
\(377\) | 1.58264e14i | 1.07029i | ||||||||
\(378\) | 2.26250e14 | − | 3.45150e13i | 1.50794 | − | 0.230040i | ||||
\(379\) | −8.73807e13 | − | 8.73807e13i | −0.573984 | − | 0.573984i | 0.359255 | − | 0.933239i | \(-0.383031\pi\) |
−0.933239 | + | 0.359255i | \(0.883031\pi\) | |||||||
\(380\) | 1.86993e13 | + | 5.98618e13i | 0.121064 | + | 0.387561i | ||||
\(381\) | 5.38179e13 | − | 5.38179e13i | 0.343431 | − | 0.343431i | ||||
\(382\) | 1.98658e13 | + | 1.46069e13i | 0.124956 | + | 0.0918778i | ||||
\(383\) | 2.54041e14 | 1.57511 | 0.787555 | − | 0.616245i | \(-0.211347\pi\) | ||||
0.787555 | + | 0.616245i | \(0.211347\pi\) | |||||||
\(384\) | −2.28231e14 | − | 1.27993e14i | −1.39493 | − | 0.782283i | ||||
\(385\) | −1.74788e14 | −1.05312 | ||||||||
\(386\) | −1.76078e14 | − | 1.29466e14i | −1.04586 | − | 0.769000i | ||||
\(387\) | 5.27126e13 | − | 5.27126e13i | 0.308677 | − | 0.308677i | ||||
\(388\) | −6.84699e11 | − | 2.19192e12i | −0.00395299 | − | 0.0126546i | ||||
\(389\) | 2.20478e14 | + | 2.20478e14i | 1.25499 | + | 1.25499i | 0.953453 | + | 0.301540i | \(0.0975008\pi\) |
0.301540 | + | 0.953453i | \(0.402499\pi\) | |||||||
\(390\) | −3.05174e14 | + | 4.65550e13i | −1.71274 | + | 0.261283i | ||||
\(391\) | − | 3.44996e12i | − | 0.0190916i | ||||||
\(392\) | −1.14653e14 | + | 3.33377e14i | −0.625622 | + | 1.81912i | ||||
\(393\) | − | 4.74285e14i | − | 2.55200i | ||||||
\(394\) | −1.90585e13 | − | 1.24931e14i | −0.101125 | − | 0.662889i | ||||
\(395\) | −4.62997e13 | − | 4.62997e13i | −0.242267 | − | 0.242267i | ||||
\(396\) | 2.90093e14 | + | 1.51996e14i | 1.49697 | + | 0.784346i | ||||
\(397\) | 3.45645e13 | − | 3.45645e13i | 0.175907 | − | 0.175907i | −0.613662 | − | 0.789569i | \(-0.710304\pi\) |
0.789569 | + | 0.613662i | \(0.210304\pi\) | |||||||
\(398\) | −2.22260e13 | + | 3.02279e13i | −0.111559 | + | 0.151723i | ||||
\(399\) | −3.95070e14 | −1.95579 | ||||||||
\(400\) | 7.90012e13 | + | 1.14114e14i | 0.385748 | + | 0.557196i | ||||
\(401\) | 1.54405e14 | 0.743646 | 0.371823 | − | 0.928304i | \(-0.378733\pi\) | ||||
0.371823 | + | 0.928304i | \(0.378733\pi\) | |||||||
\(402\) | 1.76673e14 | − | 2.40280e14i | 0.839318 | − | 1.14150i | ||||
\(403\) | −4.99725e13 | + | 4.99725e13i | −0.234182 | + | 0.234182i | ||||
\(404\) | 8.65848e13 | − | 1.65252e14i | 0.400262 | − | 0.763923i | ||||
\(405\) | 1.15365e13 | + | 1.15365e13i | 0.0526103 | + | 0.0526103i | ||||
\(406\) | −3.21489e13 | − | 2.10740e14i | −0.144635 | − | 0.948101i | ||||
\(407\) | 1.97144e14i | 0.875014i | ||||||||
\(408\) | −4.12878e13 | − | 8.45731e13i | −0.180797 | − | 0.370341i | ||||
\(409\) | − | 2.08138e14i | − | 0.899236i | −0.893221 | − | 0.449618i | \(-0.851560\pi\) | ||
0.893221 | − | 0.449618i | \(-0.148440\pi\) | |||||||
\(410\) | −1.92270e13 | + | 2.93313e12i | −0.0819598 | + | 0.0125032i | ||||
\(411\) | 5.19588e13 | + | 5.19588e13i | 0.218539 | + | 0.218539i | ||||
\(412\) | −3.08264e14 | + | 9.62938e13i | −1.27935 | + | 0.399635i | ||||
\(413\) | −5.09687e14 | + | 5.09687e14i | −2.08727 | + | 2.08727i | ||||
\(414\) | −2.30102e13 | − | 1.69189e13i | −0.0929861 | − | 0.0683707i | ||||
\(415\) | 1.23169e14 | 0.491175 | ||||||||
\(416\) | −3.52483e14 | + | 3.32961e14i | −1.38715 | + | 1.31033i | ||||
\(417\) | 3.63172e14 | 1.41047 | ||||||||
\(418\) | −1.63087e14 | − | 1.19914e14i | −0.625100 | − | 0.459623i | ||||
\(419\) | 2.92778e14 | − | 2.92778e14i | 1.10755 | − | 1.10755i | 0.114073 | − | 0.993472i | \(-0.463610\pi\) |
0.993472 | − | 0.114073i | \(-0.0363899\pi\) | |||||||
\(420\) | 3.96906e14 | − | 1.23983e14i | 1.48189 | − | 0.462905i | ||||
\(421\) | 1.64588e14 | + | 1.64588e14i | 0.606521 | + | 0.606521i | 0.942035 | − | 0.335515i | \(-0.108910\pi\) |
−0.335515 | + | 0.942035i | \(0.608910\pi\) | |||||||
\(422\) | 4.19147e14 | − | 6.39418e13i | 1.52457 | − | 0.232577i | ||||
\(423\) | 4.76023e14i | 1.70905i | ||||||||
\(424\) | −9.43306e12 | + | 4.60513e12i | −0.0334303 | + | 0.0163204i | ||||
\(425\) | 4.99182e13i | 0.174630i | ||||||||
\(426\) | 5.53449e12 | + | 3.62793e13i | 0.0191128 | + | 0.125287i | ||||
\(427\) | 7.46866e12 | + | 7.46866e12i | 0.0254618 | + | 0.0254618i | ||||
\(428\) | −2.02544e14 | + | 3.86567e14i | −0.681677 | + | 1.30102i | ||||
\(429\) | 7.04578e14 | − | 7.04578e14i | 2.34107 | − | 2.34107i | ||||
\(430\) | 2.87289e13 | − | 3.90722e13i | 0.0942417 | − | 0.128171i | ||||
\(431\) | 2.93359e14 | 0.950113 | 0.475056 | − | 0.879955i | \(-0.342428\pi\) | ||||
0.475056 | + | 0.879955i | \(0.342428\pi\) | |||||||
\(432\) | −2.74481e14 | − | 4.99067e13i | −0.877710 | − | 0.159587i | ||||
\(433\) | 2.65581e14 | 0.838519 | 0.419260 | − | 0.907866i | \(-0.362290\pi\) | ||||
0.419260 | + | 0.907866i | \(0.362290\pi\) | |||||||
\(434\) | 5.63911e13 | − | 7.66935e13i | 0.175799 | − | 0.239092i | ||||
\(435\) | −1.16984e14 | + | 1.16984e14i | −0.360111 | + | 0.360111i | ||||
\(436\) | 2.56661e14 | + | 1.34479e14i | 0.780160 | + | 0.408769i | ||||
\(437\) | 1.24828e13 | + | 1.24828e13i | 0.0374683 | + | 0.0374683i | ||||
\(438\) | −9.21923e13 | − | 6.04333e14i | −0.273267 | − | 1.79130i | ||||
\(439\) | 4.88728e14i | 1.43058i | 0.698828 | + | 0.715290i | \(0.253705\pi\) | ||||
−0.698828 | + | 0.715290i | \(0.746295\pi\) | |||||||
\(440\) | 2.01477e14 | + | 6.92907e13i | 0.582419 | + | 0.200302i | ||||
\(441\) | 1.04969e15i | 2.99674i | ||||||||
\(442\) | −1.72398e14 | + | 2.62997e13i | −0.486083 | + | 0.0741530i | ||||
\(443\) | −2.17621e14 | − | 2.17621e14i | −0.606010 | − | 0.606010i | 0.335891 | − | 0.941901i | \(-0.390963\pi\) |
−0.941901 | + | 0.335891i | \(0.890963\pi\) | |||||||
\(444\) | −1.39842e14 | − | 4.47673e14i | −0.384619 | − | 1.23127i | ||||
\(445\) | −8.72581e13 | + | 8.72581e13i | −0.237042 | + | 0.237042i | ||||
\(446\) | −1.45970e14 | − | 1.07329e14i | −0.391671 | − | 0.287988i | ||||
\(447\) | −9.48293e14 | −2.51334 | ||||||||
\(448\) | 4.01722e14 | − | 5.14966e14i | 1.05171 | − | 1.34818i | ||||
\(449\) | −2.88213e14 | −0.745346 | −0.372673 | − | 0.927963i | \(-0.621559\pi\) | ||||
−0.372673 | + | 0.927963i | \(0.621559\pi\) | |||||||
\(450\) | 3.32939e14 | + | 2.44803e14i | 0.850543 | + | 0.625386i | ||||
\(451\) | 4.43909e13 | − | 4.43909e13i | 0.112027 | − | 0.112027i | ||||
\(452\) | −1.89702e14 | − | 6.07290e14i | −0.472944 | − | 1.51403i | ||||
\(453\) | −3.49098e14 | − | 3.49098e14i | −0.859818 | − | 0.859818i | ||||
\(454\) | 2.43078e14 | − | 3.70821e13i | 0.591477 | − | 0.0902312i | ||||
\(455\) | − | 7.70518e14i | − | 1.85234i | ||||||
\(456\) | 4.55396e14 | + | 1.56617e14i | 1.08164 | + | 0.371991i | ||||
\(457\) | − | 7.33246e14i | − | 1.72072i | −0.509685 | − | 0.860361i | \(-0.670238\pi\) | ||
0.509685 | − | 0.860361i | \(-0.329762\pi\) | |||||||
\(458\) | −1.96755e13 | − | 1.28976e14i | −0.0456212 | − | 0.299053i | ||||
\(459\) | −7.09503e13 | − | 7.09503e13i | −0.162549 | − | 0.162549i | ||||
\(460\) | −1.64582e13 | − | 8.62337e12i | −0.0372576 | − | 0.0195213i | ||||
\(461\) | 1.64165e13 | − | 1.64165e13i | 0.0367220 | − | 0.0367220i | −0.688507 | − | 0.725229i | \(-0.741734\pi\) |
0.725229 | + | 0.688507i | \(0.241734\pi\) | |||||||
\(462\) | −7.95077e14 | + | 1.08133e15i | −1.75743 | + | 2.39015i | ||||
\(463\) | 5.07863e14 | 1.10931 | 0.554653 | − | 0.832082i | \(-0.312851\pi\) | ||||
0.554653 | + | 0.832082i | \(0.312851\pi\) | |||||||
\(464\) | −4.64855e13 | + | 2.55664e14i | −0.100339 | + | 0.551850i | ||||
\(465\) | −7.38767e13 | −0.157585 | ||||||||
\(466\) | −3.17820e14 | + | 4.32244e14i | −0.669975 | + | 0.911184i | ||||
\(467\) | −5.51057e14 | + | 5.51057e14i | −1.14803 | + | 1.14803i | −0.161093 | + | 0.986939i | \(0.551502\pi\) |
−0.986939 | + | 0.161093i | \(0.948498\pi\) | |||||||
\(468\) | −6.70045e14 | + | 1.27882e15i | −1.37959 | + | 2.63304i | ||||
\(469\) | 5.26372e14 | + | 5.26372e14i | 1.07113 | + | 1.07113i | ||||
\(470\) | 4.67024e13 | + | 3.06140e14i | 0.0939293 | + | 0.615718i | ||||
\(471\) | − | 1.37810e15i | − | 2.73946i | ||||||
\(472\) | 7.89568e14 | − | 3.85460e14i | 1.55135 | − | 0.757353i | ||||
\(473\) | 1.56538e14i | 0.304006i | ||||||||
\(474\) | −4.97043e14 | + | 7.58250e13i | −0.954141 | + | 0.145557i | ||||
\(475\) | −1.80616e14 | − | 1.80616e14i | −0.342722 | − | 0.342722i | ||||
\(476\) | 2.24219e14 | − | 7.00403e13i | 0.420566 | − | 0.131374i | ||||
\(477\) | −2.21007e13 | + | 2.21007e13i | −0.0409785 | + | 0.0409785i | ||||
\(478\) | 1.50857e13 | + | 1.10922e13i | 0.0276512 | + | 0.0203313i | ||||
\(479\) | −3.92439e14 | −0.711094 | −0.355547 | − | 0.934658i | \(-0.615705\pi\) | ||||
−0.355547 | + | 0.934658i | \(0.615705\pi\) | |||||||
\(480\) | −5.06662e14 | − | 1.44297e13i | −0.907594 | − | 0.0258483i | ||||
\(481\) | −8.69074e14 | −1.53907 | ||||||||
\(482\) | 2.42945e14 | + | 1.78632e14i | 0.425353 | + | 0.312753i | ||||
\(483\) | 8.27655e13 | − | 8.27655e13i | 0.143265 | − | 0.143265i | ||||
\(484\) | −9.86834e13 | + | 3.08261e13i | −0.168886 | + | 0.0527557i | ||||
\(485\) | −3.14533e12 | − | 3.14533e12i | −0.00532215 | − | 0.00532215i | ||||
\(486\) | 6.50978e14 | − | 9.93082e13i | 1.08910 | − | 0.166144i | ||||
\(487\) | − | 3.30426e14i | − | 0.546594i | −0.961930 | − | 0.273297i | \(-0.911886\pi\) | ||
0.961930 | − | 0.273297i | \(-0.0881141\pi\) | |||||||
\(488\) | −5.64830e12 | − | 1.15699e13i | −0.00923866 | − | 0.0189243i | ||||
\(489\) | − | 3.06944e14i | − | 0.496432i | ||||||
\(490\) | 1.02985e14 | + | 6.75078e14i | 0.164700 | + | 1.07963i | ||||
\(491\) | 4.42264e14 | + | 4.42264e14i | 0.699412 | + | 0.699412i | 0.964284 | − | 0.264871i | \(-0.0853295\pi\) |
−0.264871 | + | 0.964284i | \(0.585330\pi\) | |||||||
\(492\) | −6.93144e13 | + | 1.32291e14i | −0.108396 | + | 0.206881i | ||||
\(493\) | −6.60865e13 | + | 6.60865e13i | −0.102201 | + | 0.102201i | ||||
\(494\) | 5.28620e14 | − | 7.18938e14i | 0.808436 | − | 1.09949i | ||||
\(495\) | 6.34383e14 | 0.959451 | ||||||||
\(496\) | −9.54053e13 | + | 6.60492e13i | −0.142700 | + | 0.0987913i | ||||
\(497\) | −9.15998e13 | −0.135498 | ||||||||
\(498\) | 5.60272e14 | − | 7.61986e14i | 0.819668 | − | 1.11477i | ||||
\(499\) | −5.81971e14 | + | 5.81971e14i | −0.842071 | + | 0.842071i | −0.989128 | − | 0.147057i | \(-0.953020\pi\) |
0.147057 | + | 0.989128i | \(0.453020\pi\) | |||||||
\(500\) | 5.89532e14 | + | 3.08888e14i | 0.843669 | + | 0.442045i | ||||
\(501\) | −1.32563e15 | − | 1.32563e15i | −1.87636 | − | 1.87636i | ||||
\(502\) | 4.20131e13 | + | 2.75401e14i | 0.0588185 | + | 0.385563i | ||||
\(503\) | − | 5.90788e14i | − | 0.818102i | −0.912512 | − | 0.409051i | \(-0.865860\pi\) | ||
0.912512 | − | 0.409051i | \(-0.134140\pi\) | |||||||
\(504\) | 6.32443e14 | − | 1.83896e15i | 0.866271 | − | 2.51886i | ||||
\(505\) | − | 3.61378e14i | − | 0.489620i | ||||||
\(506\) | 5.92876e13 | − | 9.04446e12i | 0.0794577 | − | 0.0121215i | ||||
\(507\) | 2.25298e15 | + | 2.25298e15i | 2.98684 | + | 2.98684i | ||||
\(508\) | −6.90445e13 | − | 2.21031e14i | −0.0905479 | − | 0.289870i | ||||
\(509\) | 1.70291e14 | − | 1.70291e14i | 0.220924 | − | 0.220924i | −0.587963 | − | 0.808887i | \(-0.700070\pi\) |
0.808887 | + | 0.587963i | \(0.200070\pi\) | |||||||
\(510\) | −1.46872e14 | − | 1.07992e14i | −0.188497 | − | 0.138598i | ||||
\(511\) | 1.52585e15 | 1.93730 | ||||||||
\(512\) | −6.67210e14 | + | 4.34345e14i | −0.838066 | + | 0.545569i | ||||
\(513\) | 5.13432e14 | 0.638024 | ||||||||
\(514\) | −2.94764e14 | − | 2.16734e14i | −0.362391 | − | 0.266458i | ||||
\(515\) | −4.42349e14 | + | 4.42349e14i | −0.538053 | + | 0.538053i | ||||
\(516\) | −1.11038e14 | − | 3.55464e14i | −0.133628 | − | 0.427782i | ||||
\(517\) | −7.06810e14 | − | 7.06810e14i | −0.841598 | − | 0.841598i | ||||
\(518\) | 1.15724e15 | − | 1.76540e14i | 1.36336 | − | 0.207983i | ||||
\(519\) | 9.81287e14i | 1.14387i | ||||||||
\(520\) | −3.05455e14 | + | 8.88173e14i | −0.352313 | + | 1.02442i | ||||
\(521\) | 1.56998e15i | 1.79179i | 0.444266 | + | 0.895895i | \(0.353465\pi\) | ||||
−0.444266 | + | 0.895895i | \(0.646535\pi\) | |||||||
\(522\) | 1.16683e14 | + | 7.64871e14i | 0.131771 | + | 0.863775i | ||||
\(523\) | −8.14707e14 | − | 8.14707e14i | −0.910421 | − | 0.910421i | 0.0858840 | − | 0.996305i | \(-0.472629\pi\) |
−0.996305 | + | 0.0858840i | \(0.972629\pi\) | |||||||
\(524\) | −1.27819e15 | − | 6.69712e14i | −1.41342 | − | 0.740570i | ||||
\(525\) | −1.19755e15 | + | 1.19755e15i | −1.31044 | + | 1.31044i | ||||
\(526\) | −4.91317e14 | + | 6.68205e14i | −0.532035 | + | 0.723582i | ||||
\(527\) | −4.17343e13 | −0.0447234 | ||||||||
\(528\) | 1.34515e15 | − | 9.31250e14i | 1.42654 | − | 0.987597i | ||||
\(529\) | 9.47580e14 | 0.994511 | ||||||||
\(530\) | −1.20452e13 | + | 1.63817e13i | −0.0125111 | + | 0.0170154i | ||||
\(531\) | 1.84988e15 | − | 1.84988e15i | 1.90162 | − | 1.90162i | ||||
\(532\) | −5.57857e14 | + | 1.06470e15i | −0.567557 | + | 1.08322i | ||||
\(533\) | 1.95689e14 | + | 1.95689e14i | 0.197046 | + | 0.197046i | ||||
\(534\) | 1.42903e14 | + | 9.36745e14i | 0.142417 | + | 0.933564i | ||||
\(535\) | 8.45355e14i | 0.833860i | ||||||||
\(536\) | −3.98078e14 | − | 8.15415e14i | −0.388653 | − | 0.796109i | ||||
\(537\) | 1.46513e15i | 1.41585i | ||||||||
\(538\) | 5.62268e14 | − | 8.57752e13i | 0.537824 | − | 0.0820464i | ||||
\(539\) | −1.55861e15 | − | 1.55861e15i | −1.47570 | − | 1.47570i | ||||
\(540\) | −5.15817e14 | + | 1.61128e14i | −0.483426 | + | 0.151010i | ||||
\(541\) | −1.62507e14 | + | 1.62507e14i | −0.150760 | + | 0.150760i | −0.778458 | − | 0.627697i | \(-0.783998\pi\) |
0.627697 | + | 0.778458i | \(0.283998\pi\) | |||||||
\(542\) | 1.11020e15 | + | 8.16310e14i | 1.01955 | + | 0.749650i | ||||
\(543\) | 9.92880e14 | 0.902605 | ||||||||
\(544\) | −2.86223e14 | − | 8.15162e12i | −0.257579 | − | 0.00733584i | ||||
\(545\) | 5.61273e14 | 0.500026 | ||||||||
\(546\) | −4.76682e15 | − | 3.50495e15i | −4.20407 | − | 3.09116i | ||||
\(547\) | −3.52073e14 | + | 3.52073e14i | −0.307399 | + | 0.307399i | −0.843900 | − | 0.536501i | \(-0.819746\pi\) |
0.536501 | + | 0.843900i | \(0.319746\pi\) | |||||||
\(548\) | 2.13396e14 | − | 6.66594e13i | 0.184456 | − | 0.0576194i | ||||
\(549\) | −2.71071e13 | − | 2.71071e13i | −0.0231972 | − | 0.0231972i | ||||
\(550\) | −8.57845e14 | + | 1.30866e14i | −0.726799 | + | 0.110875i | ||||
\(551\) | − | 4.78235e14i | − | 0.401150i | ||||||
\(552\) | −1.28214e14 | + | 6.25929e13i | −0.106481 | + | 0.0519829i | ||||
\(553\) | − | 1.25496e15i | − | 1.03191i | ||||||
\(554\) | 1.51543e14 | + | 9.93381e14i | 0.123376 | + | 0.808746i | ||||
\(555\) | −6.42397e14 | − | 6.42397e14i | −0.517835 | − | 0.517835i | ||||
\(556\) | 5.12816e14 | − | 9.78739e14i | 0.409308 | − | 0.781188i | ||||
\(557\) | −8.52294e13 | + | 8.52294e13i | −0.0673575 | + | 0.0673575i | −0.739983 | − | 0.672626i | \(-0.765166\pi\) |
0.672626 | + | 0.739983i | \(0.265166\pi\) | |||||||
\(558\) | −2.04669e14 | + | 2.78355e14i | −0.160163 | + | 0.217827i | ||||
\(559\) | −6.90067e14 | −0.534720 | ||||||||
\(560\) | 2.26318e14 | − | 1.24472e15i | 0.173654 | − | 0.955076i | ||||
\(561\) | 5.88425e14 | 0.447091 | ||||||||
\(562\) | −5.77830e14 | + | 7.85865e14i | −0.434761 | + | 0.591287i | ||||
\(563\) | −6.50742e14 | + | 6.50742e14i | −0.484856 | + | 0.484856i | −0.906678 | − | 0.421823i | \(-0.861390\pi\) |
0.421823 | + | 0.906678i | \(0.361390\pi\) | |||||||
\(564\) | 2.10638e15 | + | 1.10365e15i | 1.55418 | + | 0.814322i | ||||
\(565\) | −8.71441e14 | − | 8.71441e14i | −0.636754 | − | 0.636754i | ||||
\(566\) | 9.58660e13 | + | 6.28414e14i | 0.0693704 | + | 0.454732i | ||||
\(567\) | 3.12698e14i | 0.224088i | ||||||||
\(568\) | 1.05587e14 | + | 3.63127e13i | 0.0749365 | + | 0.0257717i | ||||
\(569\) | − | 1.48183e15i | − | 1.04155i | −0.853693 | − | 0.520777i | \(-0.825642\pi\) | ||
0.853693 | − | 0.520777i | \(-0.174358\pi\) | |||||||
\(570\) | 9.22162e14 | − | 1.40678e14i | 0.641942 | − | 0.0979297i | ||||
\(571\) | 8.55470e14 | + | 8.55470e14i | 0.589802 | + | 0.589802i | 0.937578 | − | 0.347776i | \(-0.113063\pi\) |
−0.347776 | + | 0.937578i | \(0.613063\pi\) | |||||||
\(572\) | −9.03923e14 | − | 2.89372e15i | −0.617239 | − | 1.97596i | ||||
\(573\) | 2.59345e14 | − | 2.59345e14i | 0.175399 | − | 0.175399i | ||||
\(574\) | −3.00327e14 | − | 2.20824e14i | −0.201177 | − | 0.147921i | ||||
\(575\) | 7.56767e13 | 0.0502099 | ||||||||
\(576\) | −1.45803e15 | + | 1.86904e15i | −0.958170 | + | 1.22827i | ||||
\(577\) | 2.53819e15 | 1.65218 | 0.826089 | − | 0.563539i | \(-0.190561\pi\) | ||||
0.826089 | + | 0.563539i | \(0.190561\pi\) | |||||||
\(578\) | 1.16658e15 | + | 8.57760e14i | 0.752161 | + | 0.553048i | ||||
\(579\) | −2.29866e15 | + | 2.29866e15i | −1.46806 | + | 1.46806i | ||||
\(580\) | 1.50082e14 | + | 4.80457e14i | 0.0949458 | + | 0.303949i | ||||
\(581\) | 1.66925e15 | + | 1.66925e15i | 1.04605 | + | 1.04605i | ||||
\(582\) | −3.37662e13 | + | 5.15111e12i | −0.0209607 | + | 0.00319760i | ||||
\(583\) | − | 6.56314e13i | − | 0.0403585i | ||||||
\(584\) | −1.75884e15 | − | 6.04890e14i | −1.07141 | − | 0.368473i | ||||
\(585\) | 2.79656e15i | 1.68759i | ||||||||
\(586\) | −3.51168e14 | − | 2.30195e15i | −0.209931 | − | 1.37613i | ||||
\(587\) | 1.49682e14 | + | 1.49682e14i | 0.0886464 | + | 0.0886464i | 0.750039 | − | 0.661393i | \(-0.230034\pi\) |
−0.661393 | + | 0.750039i | \(0.730034\pi\) | |||||||
\(588\) | 4.64484e15 | + | 2.43369e15i | 2.72518 | + | 1.42787i | ||||
\(589\) | 1.51005e14 | − | 1.51005e14i | 0.0877722 | − | 0.0877722i | ||||
\(590\) | 1.00821e15 | − | 1.37119e15i | 0.580582 | − | 0.789607i | ||||
\(591\) | −1.87975e15 | −1.07243 | ||||||||
\(592\) | −1.40393e15 | − | 2.55266e14i | −0.793554 | − | 0.144286i | ||||
\(593\) | −2.51255e14 | −0.140706 | −0.0703532 | − | 0.997522i | \(-0.522413\pi\) | ||||
−0.0703532 | + | 0.997522i | \(0.522413\pi\) | |||||||
\(594\) | 1.03328e15 | − | 1.40529e15i | 0.573313 | − | 0.779722i | ||||
\(595\) | 3.21747e14 | − | 3.21747e14i | 0.176877 | − | 0.176877i | ||||
\(596\) | −1.33903e15 | + | 2.55562e15i | −0.729352 | + | 1.39201i | ||||
\(597\) | 3.94619e14 | + | 3.94619e14i | 0.212971 | + | 0.212971i | ||||
\(598\) | 3.98708e13 | + | 2.61358e14i | 0.0213205 | + | 0.139759i | ||||
\(599\) | − | 1.70110e15i | − | 0.901329i | −0.892693 | − | 0.450665i | \(-0.851187\pi\) | ||
0.892693 | − | 0.450665i | \(-0.148813\pi\) | |||||||
\(600\) | 1.85516e15 | − | 9.05670e14i | 0.973978 | − | 0.475487i | ||||
\(601\) | − | 2.33302e15i | − | 1.21369i | −0.794819 | − | 0.606847i | \(-0.792434\pi\) | ||
0.794819 | − | 0.606847i | \(-0.207566\pi\) | |||||||
\(602\) | 9.18878e14 | − | 1.40177e14i | 0.473672 | − | 0.0722597i | ||||
\(603\) | −1.91044e15 | − | 1.91044e15i | −0.975861 | − | 0.975861i | ||||
\(604\) | −1.43375e15 | + | 4.47867e14i | −0.725723 | + | 0.226697i | ||||
\(605\) | −1.41607e14 | + | 1.41607e14i | −0.0710283 | + | 0.0710283i | ||||
\(606\) | −2.23567e15 | − | 1.64384e15i | −1.11124 | − | 0.817072i | ||||
\(607\) | 1.91749e14 | 0.0944486 | 0.0472243 | − | 0.998884i | \(-0.484962\pi\) | ||||
0.0472243 | + | 0.998884i | \(0.484962\pi\) | |||||||
\(608\) | 1.06512e15 | − | 1.00613e15i | 0.519910 | − | 0.491116i | ||||
\(609\) | −3.17087e15 | −1.53385 | ||||||||
\(610\) | −2.00926e13 | − | 1.47737e13i | −0.00963213 | − | 0.00708230i | ||||
\(611\) | 3.11584e15 | − | 3.11584e15i | 1.48029 | − | 1.48029i | ||||
\(612\) | −8.13792e14 | + | 2.54208e14i | −0.383160 | + | 0.119689i | ||||
\(613\) | −1.21713e14 | − | 1.21713e14i | −0.0567944 | − | 0.0567944i | 0.678139 | − | 0.734934i | \(-0.262787\pi\) |
−0.734934 | + | 0.678139i | \(0.762787\pi\) | |||||||
\(614\) | 2.69708e15 | − | 4.11445e14i | 1.24729 | − | 0.190277i | ||||
\(615\) | 2.89296e14i | 0.132596i | ||||||||
\(616\) | 1.79146e15 | + | 3.66960e15i | 0.813792 | + | 1.66696i | ||||
\(617\) | 5.95192e14i | 0.267972i | 0.990983 | + | 0.133986i | \(0.0427777\pi\) | ||||
−0.990983 | + | 0.133986i | \(0.957222\pi\) | |||||||
\(618\) | 7.24434e14 | + | 4.74876e15i | 0.323268 | + | 2.11906i | ||||
\(619\) | 2.40823e15 | + | 2.40823e15i | 1.06512 | + | 1.06512i | 0.997726 | + | 0.0673975i | \(0.0214696\pi\) |
0.0673975 | + | 0.997726i | \(0.478530\pi\) | |||||||
\(620\) | −1.04317e14 | + | 1.99096e14i | −0.0457301 | + | 0.0872786i | ||||
\(621\) | −1.07562e14 | + | 1.07562e14i | −0.0467363 | + | 0.0467363i | ||||
\(622\) | −1.60408e15 | + | 2.18160e15i | −0.690844 | + | 0.939567i | ||||
\(623\) | −2.36514e15 | −1.00965 | ||||||||
\(624\) | 4.10524e15 | + | 5.92984e15i | 1.73709 | + | 2.50916i | ||||
\(625\) | −3.26546e14 | −0.136963 | ||||||||
\(626\) | 1.67972e15 | − | 2.28447e15i | 0.698359 | − | 0.949788i | ||||
\(627\) | −2.12907e15 | + | 2.12907e15i | −0.877441 | + | 0.877441i | ||||
\(628\) | −3.71394e15 | − | 1.94594e15i | −1.51725 | − | 0.794970i | ||||
\(629\) | −3.62901e14 | − | 3.62901e14i | −0.146964 | − | 0.146964i | ||||
\(630\) | −5.68079e14 | − | 3.72383e15i | −0.228053 | − | 1.49492i | ||||
\(631\) | − | 4.59339e14i | − | 0.182798i | −0.995814 | − | 0.0913991i | \(-0.970866\pi\) | ||
0.995814 | − | 0.0913991i | \(-0.0291339\pi\) | |||||||
\(632\) | −4.97501e14 | + | 1.44659e15i | −0.196268 | + | 0.570690i | ||||
\(633\) | − | 6.30663e15i | − | 2.46648i | ||||||
\(634\) | −5.26805e14 | + | 8.03653e13i | −0.204249 | + | 0.0311586i | ||||
\(635\) | −3.17172e14 | − | 3.17172e14i | −0.121910 | − | 0.121910i | ||||
\(636\) | 4.65547e13 | + | 1.49035e14i | 0.0177398 | + | 0.0567903i | ||||
\(637\) | 6.87082e15 | − | 6.87082e15i | 2.59562 | − | 2.59562i | ||||
\(638\) | −1.30895e15 | − | 9.62445e14i | −0.490241 | − | 0.360464i | ||||
\(639\) | 3.32457e14 | 0.123447 | ||||||||
\(640\) | −7.54318e14 | + | 1.34507e15i | −0.277693 | + | 0.495169i | ||||
\(641\) | −1.14966e14 | −0.0419613 | −0.0209807 | − | 0.999780i | \(-0.506679\pi\) | ||||
−0.0209807 | + | 0.999780i | \(0.506679\pi\) | |||||||
\(642\) | 5.22980e15 | + | 3.84536e15i | 1.89253 | + | 1.39154i | ||||
\(643\) | 1.76444e14 | − | 1.76444e14i | 0.0633061 | − | 0.0633061i | −0.674745 | − | 0.738051i | \(-0.735746\pi\) |
0.738051 | + | 0.674745i | \(0.235746\pi\) | |||||||
\(644\) | −1.06182e14 | − | 3.39920e14i | −0.0377728 | − | 0.120922i | ||||
\(645\) | −5.10079e14 | − | 5.10079e14i | −0.179912 | − | 0.179912i | ||||
\(646\) | 5.20946e14 | − | 7.94715e13i | 0.182185 | − | 0.0277928i | ||||
\(647\) | 2.12407e15i | 0.736540i | 0.929719 | + | 0.368270i | \(0.120050\pi\) | ||||
−0.929719 | + | 0.368270i | \(0.879950\pi\) | |||||||
\(648\) | 1.23962e14 | − | 3.60446e14i | 0.0426213 | − | 0.123930i | ||||
\(649\) | 5.49350e15i | 1.87285i | ||||||||
\(650\) | −5.76899e14 | − | 3.78165e15i | −0.195019 | − | 1.27837i | ||||
\(651\) | −1.00122e15 | − | 1.00122e15i | −0.335609 | − | 0.335609i | ||||
\(652\) | −8.27205e14 | − | 4.33419e14i | −0.274948 | − | 0.144061i | ||||
\(653\) | −2.15088e15 | + | 2.15088e15i | −0.708913 | + | 0.708913i | −0.966307 | − | 0.257393i | \(-0.917136\pi\) |
0.257393 | + | 0.966307i | \(0.417136\pi\) | |||||||
\(654\) | 2.55313e15 | − | 3.47232e15i | 0.834439 | − | 1.13486i | ||||
\(655\) | −2.79517e15 | −0.905901 | ||||||||
\(656\) | 2.58645e14 | + | 3.73601e14i | 0.0831251 | + | 0.120071i | ||||
\(657\) | −5.53799e15 | −1.76499 | ||||||||
\(658\) | −3.51605e15 | + | 4.78192e15i | −1.11125 | + | 1.51133i | ||||
\(659\) | 3.09422e14 | − | 3.09422e14i | 0.0969797 | − | 0.0969797i | −0.656952 | − | 0.753932i | \(-0.728155\pi\) |
0.753932 | + | 0.656952i | \(0.228155\pi\) | |||||||
\(660\) | 1.47080e15 | − | 2.80712e15i | 0.457155 | − | 0.872507i | ||||
\(661\) | 3.62461e15 | + | 3.62461e15i | 1.11726 | + | 1.11726i | 0.992142 | + | 0.125115i | \(0.0399301\pi\) |
0.125115 | + | 0.992142i | \(0.460070\pi\) | |||||||
\(662\) | −7.82884e14 | − | 5.13191e15i | −0.239320 | − | 1.56877i | ||||
\(663\) | 2.59396e15i | 0.786392i | ||||||||
\(664\) | −1.26240e15 | − | 2.58588e15i | −0.379554 | − | 0.777470i | ||||
\(665\) | 2.32832e15i | 0.694263i | ||||||||
\(666\) | −4.20014e15 | + | 6.40742e14i | −1.24210 | + | 0.189485i | ||||
\(667\) | 1.00188e14 | + | 1.00188e14i | 0.0293849 | + | 0.0293849i | ||||
\(668\) | −5.44441e15 | + | 1.70069e15i | −1.58373 | + | 0.494715i | ||||
\(669\) | −1.90561e15 | + | 1.90561e15i | −0.549782 | + | 0.549782i | ||||
\(670\) | −1.41608e15 | − | 1.04121e15i | −0.405205 | − | 0.297939i | ||||
\(671\) | 8.04985e13 | 0.0228462 | ||||||||
\(672\) | −6.67101e15 | − | 7.06213e15i | −1.87785 | − | 1.98795i | ||||
\(673\) | −3.77117e14 | −0.105291 | −0.0526457 | − | 0.998613i | \(-0.516765\pi\) | ||||
−0.0526457 | + | 0.998613i | \(0.516765\pi\) | |||||||
\(674\) | 1.82352e15 | + | 1.34079e15i | 0.504987 | + | 0.371306i | ||||
\(675\) | 1.55634e15 | − | 1.55634e15i | 0.427496 | − | 0.427496i | ||||
\(676\) | 9.25302e15 | − | 2.89040e15i | 2.52102 | − | 0.787502i | ||||
\(677\) | 2.32594e15 | + | 2.32594e15i | 0.628581 | + | 0.628581i | 0.947711 | − | 0.319130i | \(-0.103391\pi\) |
−0.319130 | + | 0.947711i | \(0.603391\pi\) | |||||||
\(678\) | −9.35521e15 | + | 1.42716e15i | −2.50778 | + | 0.382568i | ||||
\(679\) | − | 8.52546e13i | − | 0.0226691i | ||||||
\(680\) | −4.98426e14 | + | 2.43327e14i | −0.131463 | + | 0.0641788i | ||||
\(681\) | − | 3.65743e15i | − | 0.956901i | ||||||
\(682\) | −1.09411e14 | − | 7.17205e14i | −0.0283954 | − | 0.186135i | ||||
\(683\) | −1.34268e15 | − | 1.34268e15i | −0.345669 | − | 0.345669i | 0.512825 | − | 0.858493i | \(-0.328599\pi\) |
−0.858493 | + | 0.512825i | \(0.828599\pi\) | |||||||
\(684\) | 2.02471e15 | − | 3.86429e15i | 0.517077 | − | 0.986872i | ||||
\(685\) | 3.06216e14 | − | 3.06216e14i | 0.0775765 | − | 0.0775765i | ||||
\(686\) | −3.72290e15 | + | 5.06325e15i | −0.935619 | + | 1.27247i | ||||
\(687\) | −1.94061e15 | −0.483812 | ||||||||
\(688\) | −1.11476e15 | − | 2.02688e14i | −0.275705 | − | 0.0501292i | ||||
\(689\) | 2.89324e14 | 0.0709869 | ||||||||
\(690\) | −1.63718e14 | + | 2.22660e14i | −0.0398497 | + | 0.0541967i | ||||
\(691\) | 1.81110e15 | − | 1.81110e15i | 0.437333 | − | 0.437333i | −0.453781 | − | 0.891113i | \(-0.649925\pi\) |
0.891113 | + | 0.453781i | \(0.149925\pi\) | |||||||
\(692\) | 2.64454e15 | + | 1.38562e15i | 0.633530 | + | 0.331941i | ||||
\(693\) | 8.59751e15 | + | 8.59751e15i | 2.04334 | + | 2.04334i | ||||
\(694\) | 6.77726e14 | + | 4.44258e15i | 0.159800 | + | 1.04751i | ||||
\(695\) | − | 2.14033e15i | − | 0.500685i | ||||||
\(696\) | 3.65505e15 | + | 1.25702e15i | 0.848287 | + | 0.291738i | ||||
\(697\) | 1.63429e14i | 0.0376312i | ||||||||
\(698\) | 5.10821e15 | − | 7.79270e14i | 1.16698 | − | 0.178026i | ||||
\(699\) | 5.64286e15 | + | 5.64286e15i | 1.27901 | + | 1.27901i | ||||
\(700\) | 1.53637e15 | + | 4.91837e15i | 0.345508 | + | 1.10607i | ||||
\(701\) | −3.18446e15 | + | 3.18446e15i | −0.710537 | + | 0.710537i | −0.966648 | − | 0.256110i | \(-0.917559\pi\) |
0.256110 | + | 0.966648i | \(0.417559\pi\) | |||||||
\(702\) | 6.19495e15 | + | 4.55502e15i | 1.37146 | + | 1.00841i | ||||
\(703\) | 2.62613e15 | 0.576850 | ||||||||
\(704\) | −6.10280e14 | − | 4.94011e15i | −0.133008 | − | 1.07668i | ||||
\(705\) | 4.60629e15 | 0.996119 | ||||||||
\(706\) | 2.06203e15 | + | 1.51617e15i | 0.442455 | + | 0.325328i | ||||
\(707\) | 4.89760e15 | − | 4.89760e15i | 1.04274 | − | 1.04274i | ||||
\(708\) | −3.89674e15 | − | 1.24746e16i | −0.823224 | − | 2.63538i | ||||
\(709\) | −6.07734e15 | − | 6.07734e15i | −1.27397 | − | 1.27397i | −0.943987 | − | 0.329982i | \(-0.892957\pi\) |
−0.329982 | − | 0.943987i | \(-0.607043\pi\) | |||||||
\(710\) | 2.13810e14 | − | 3.26172e13i | 0.0444740 | − | 0.00678462i | ||||
\(711\) | 4.55481e15i | 0.940128i | ||||||||
\(712\) | 2.72629e15 | + | 9.37608e14i | 0.558382 | + | 0.192035i | ||||
\(713\) | 6.32698e13i | 0.0128589i | ||||||||
\(714\) | −5.26925e14 | − | 3.45406e15i | −0.106270 | − | 0.696611i | ||||
\(715\) | −4.15239e15 | − | 4.15239e15i | −0.831027 | − | 0.831027i | ||||
\(716\) | 3.94847e15 | + | 2.06882e15i | 0.784166 | + | 0.410868i | ||||
\(717\) | 1.96941e14 | − | 1.96941e14i | 0.0388134 | − | 0.0388134i | ||||
\(718\) | −5.13137e14 | + | 6.97881e14i | −0.100357 | + | 0.136489i | ||||
\(719\) | 6.62588e15 | 1.28598 | 0.642990 | − | 0.765874i | \(-0.277694\pi\) | ||||
0.642990 | + | 0.765874i | \(0.277694\pi\) | |||||||
\(720\) | −8.21410e14 | + | 4.51765e15i | −0.158209 | + | 0.870129i | ||||
\(721\) | −1.19899e16 | −2.29178 | ||||||||
\(722\) | 1.52553e15 | − | 2.07476e15i | 0.289378 | − | 0.393562i | ||||
\(723\) | 3.17160e15 | − | 3.17160e15i | 0.597060 | − | 0.597060i | ||||
\(724\) | 1.40199e15 | − | 2.67579e15i | 0.261929 | − | 0.499907i | ||||
\(725\) | −1.44964e15 | − | 1.44964e15i | −0.268783 | − | 0.268783i | ||||
\(726\) | 2.31910e14 | + | 1.52020e15i | 0.0426745 | + | 0.279737i | ||||
\(727\) | 9.23539e15i | 1.68662i | 0.537431 | + | 0.843308i | \(0.319395\pi\) | ||||
−0.537431 | + | 0.843308i | \(0.680605\pi\) | |||||||
\(728\) | −1.61767e16 | + | 7.89732e15i | −2.93203 | + | 1.43139i | ||||
\(729\) | − | 9.06630e15i | − | 1.63090i | ||||||
\(730\) | −3.56160e15 | + | 5.43330e14i | −0.635871 | + | 0.0970036i | ||||
\(731\) | −2.88153e14 | − | 2.88153e14i | −0.0510596 | − | 0.0510596i | ||||
\(732\) | −1.82795e14 | + | 5.71005e13i | −0.0321480 | + | 0.0100422i | ||||
\(733\) | 3.31578e15 | − | 3.31578e15i | 0.578781 | − | 0.578781i | −0.355787 | − | 0.934567i | \(-0.615787\pi\) |
0.934567 | + | 0.355787i | \(0.115787\pi\) | |||||||
\(734\) | 3.99081e15 | + | 2.93436e15i | 0.691406 | + | 0.508376i | ||||
\(735\) | 1.01575e16 | 1.74665 | ||||||||
\(736\) | −1.23580e13 | + | 4.33918e14i | −0.00210921 | + | 0.0740593i | ||||
\(737\) | 5.67333e15 | 0.961096 | ||||||||
\(738\) | 1.09002e15 | + | 8.01469e14i | 0.183284 | + | 0.134765i | ||||
\(739\) | −3.68264e14 | + | 3.68264e14i | −0.0614632 | + | 0.0614632i | −0.737170 | − | 0.675707i | \(-0.763838\pi\) |
0.675707 | + | 0.737170i | \(0.263838\pi\) | |||||||
\(740\) | −2.63834e15 | + | 8.24148e14i | −0.437075 | + | 0.136531i | ||||
\(741\) | −9.38559e15 | − | 9.38559e15i | −1.54334 | − | 1.54334i | ||||
\(742\) | −3.85257e14 | + | 5.87719e13i | −0.0628824 | + | 0.00959286i | ||||
\(743\) | 1.47188e15i | 0.238469i | 0.992866 | + | 0.119235i | \(0.0380441\pi\) | ||||
−0.992866 | + | 0.119235i | \(0.961956\pi\) | |||||||
\(744\) | 7.57189e14 | + | 1.55101e15i | 0.121774 | + | 0.249439i | ||||
\(745\) | 5.58870e15i | 0.892178i | ||||||||
\(746\) | 8.52232e14 | + | 5.58649e15i | 0.135050 | + | 0.885270i | ||||
\(747\) | −6.05847e15 | − | 6.05847e15i | −0.953014 | − | 0.953014i | ||||
\(748\) | 8.30884e14 | − | 1.58579e15i | 0.129742 | − | 0.247621i | ||||
\(749\) | −1.14567e16 | + | 1.14567e16i | −1.77587 | + | 1.77587i | ||||
\(750\) | 5.86435e15 | − | 7.97567e15i | 0.902366 | − | 1.22724i | ||||
\(751\) | 3.16182e14 | 0.0482966 | 0.0241483 | − | 0.999708i | \(-0.492313\pi\) | ||||
0.0241483 | + | 0.999708i | \(0.492313\pi\) | |||||||
\(752\) | 5.94862e15 | − | 4.11824e15i | 0.902024 | − | 0.624473i | ||||
\(753\) | 4.14378e15 | 0.623770 | ||||||||
\(754\) | 4.24276e15 | − | 5.77027e15i | 0.634024 | − | 0.862290i | ||||
\(755\) | −2.05739e15 | + | 2.05739e15i | −0.305216 | + | 0.305216i | ||||
\(756\) | −9.17434e15 | − | 4.80695e15i | −1.35115 | − | 0.707945i | ||||
\(757\) | −6.85861e15 | − | 6.85861e15i | −1.00279 | − | 1.00279i | −0.999996 | − | 0.00279044i | \(-0.999112\pi\) |
−0.00279044 | − | 0.999996i | \(-0.500888\pi\) | |||||||
\(758\) | 8.43371e14 | + | 5.52841e15i | 0.122416 | + | 0.802453i | ||||
\(759\) | − | 8.92062e14i | − | 0.128548i | ||||||
\(760\) | 9.23012e14 | − | 2.68385e15i | 0.132048 | − | 0.383957i | ||||
\(761\) | 1.01455e16i | 1.44098i | 0.693465 | + | 0.720490i | \(0.256083\pi\) | ||||
−0.693465 | + | 0.720490i | \(0.743917\pi\) | |||||||
\(762\) | −3.40495e15 | + | 5.19433e14i | −0.480130 | + | 0.0732449i | ||||
\(763\) | 7.60668e15 | + | 7.60668e15i | 1.06490 | + | 1.06490i | ||||
\(764\) | −3.32720e14 | − | 1.06513e15i | −0.0462451 | − | 0.148044i | ||||
\(765\) | −1.16776e15 | + | 1.16776e15i | −0.161145 | + | 0.161145i | ||||
\(766\) | −9.26231e15 | − | 6.81038e15i | −1.26900 | − | 0.933068i | ||||
\(767\) | −2.42170e16 | −3.29418 | ||||||||
\(768\) | 4.89002e15 | + | 1.07851e16i | 0.660425 | + | 1.45659i | ||||
\(769\) | 5.34284e14 | 0.0716436 | 0.0358218 | − | 0.999358i | \(-0.488595\pi\) | ||||
0.0358218 | + | 0.999358i | \(0.488595\pi\) | |||||||
\(770\) | 6.37273e15 | + | 4.68574e15i | 0.848451 | + | 0.623848i | ||||
\(771\) | −3.84808e15 | + | 3.84808e15i | −0.508681 | + | 0.508681i | ||||
\(772\) | 2.94901e15 | + | 9.44064e15i | 0.387063 | + | 1.23910i | ||||
\(773\) | 5.03391e14 | + | 5.03391e14i | 0.0656022 | + | 0.0656022i | 0.739147 | − | 0.673545i | \(-0.235229\pi\) |
−0.673545 | + | 0.739147i | \(0.735229\pi\) | |||||||
\(774\) | −3.33502e15 | + | 5.08765e14i | −0.431542 | + | 0.0658328i | ||||
\(775\) | − | 9.15465e14i | − | 0.117620i | ||||||
\(776\) | −3.37973e13 | + | 9.82726e13i | −0.00431164 | + | 0.0125370i | ||||
\(777\) | − | 1.74122e16i | − | 2.20566i | ||||||
\(778\) | −2.12798e15 | − | 1.39492e16i | −0.267658 | − | 1.75453i | ||||
\(779\) | −5.91326e14 | − | 5.91326e14i | −0.0738534 | − | 0.0738534i | ||||
\(780\) | 1.23746e16 | + | 6.48376e15i | 1.53466 | + | 0.804094i | ||||
\(781\) | −4.93639e14 | + | 4.93639e14i | −0.0607896 | + | 0.0607896i | ||||
\(782\) | −9.24870e13 | + | 1.25785e14i | −0.0113095 | + | 0.0153812i | ||||
\(783\) | 4.12085e15 | 0.500377 | ||||||||
\(784\) | 1.31175e16 | − | 9.08125e15i | 1.58165 | − | 1.09498i | ||||
\(785\) | −8.12173e15 | −0.972446 | ||||||||
\(786\) | −1.27147e16 | + | 1.72924e16i | −1.51176 | + | 2.05603i | ||||
\(787\) | 2.82819e15 | − | 2.82819e15i | 0.333924 | − | 0.333924i | −0.520151 | − | 0.854075i | \(-0.674124\pi\) |
0.854075 | + | 0.520151i | \(0.174124\pi\) | |||||||
\(788\) | −2.65430e15 | + | 5.06589e15i | −0.311212 | + | 0.593966i | ||||
\(789\) | 8.72328e15 | + | 8.72328e15i | 1.01568 | + | 1.01568i | ||||
\(790\) | 4.46870e14 | + | 2.92929e15i | 0.0516693 | + | 0.338699i | ||||
\(791\) | − | 2.36205e16i | − | 2.71218i | ||||||
\(792\) | −6.50202e15 | − | 1.33186e16i | −0.741412 | − | 1.51869i | ||||
\(793\) | 3.54863e14i | 0.0401844i | ||||||||
\(794\) | −2.18683e15 | + | 3.33605e14i | −0.245924 | + | 0.0375163i | ||||
\(795\) | 2.13860e14 | + | 2.13860e14i | 0.0238842 | + | 0.0238842i | ||||
\(796\) | 1.62071e15 | − | 5.06268e14i | 0.179756 | − | 0.0561512i | ||||
\(797\) | 1.08811e16 | − | 1.08811e16i | 1.19854 | − | 1.19854i | 0.223934 | − | 0.974604i | \(-0.428110\pi\) |
0.974604 | − | 0.223934i | \(-0.0718899\pi\) | |||||||
\(798\) | 1.44042e16 | + | 1.05911e16i | 1.57570 | + | 1.15858i | ||||
\(799\) | 2.60218e15 | 0.282702 | ||||||||
\(800\) | 1.78810e14 | − | 6.27845e15i | 0.0192929 | − | 0.677419i | ||||
\(801\) | 8.58415e15 | 0.919854 | ||||||||
\(802\) | −5.62957e15 | − | 4.13930e15i | −0.599123 | − | 0.440523i | ||||
\(803\) | 8.22294e15 | − | 8.22294e15i | 0.869144 | − | 0.869144i | ||||
\(804\) | −1.28829e16 | + | 4.02430e15i | −1.35240 | + | 0.422456i | ||||
\(805\) | −4.87774e14 | − | 4.87774e14i | −0.0508559 | − | 0.0508559i | ||||
\(806\) | 3.16166e15 | − | 4.82319e14i | 0.327395 | − | 0.0499449i | ||||
\(807\) | − | 8.46007e15i | − | 0.870101i | ||||||
\(808\) | −7.58698e15 | + | 3.70389e15i | −0.775009 | + | 0.378352i | ||||
\(809\) | 1.10309e16i | 1.11916i | 0.828776 | + | 0.559580i | \(0.189038\pi\) | ||||
−0.828776 | + | 0.559580i | \(0.810962\pi\) | |||||||
\(810\) | −1.11347e14 | − | 7.29891e14i | −0.0112204 | − | 0.0735513i | ||||
\(811\) | −3.68941e15 | − | 3.68941e15i | −0.369269 | − | 0.369269i | 0.497942 | − | 0.867211i | \(-0.334089\pi\) |
−0.867211 | + | 0.497942i | \(0.834089\pi\) | |||||||
\(812\) | −4.47742e15 | + | 8.54542e15i | −0.445112 | + | 0.849523i | ||||
\(813\) | 1.44935e16 | − | 1.44935e16i | 1.43112 | − | 1.43112i | ||||
\(814\) | 5.28508e15 | − | 7.18786e15i | 0.518343 | − | 0.704961i | ||||
\(815\) | −1.80895e15 | −0.176222 | ||||||||
\(816\) | −7.61903e14 | + | 4.19037e15i | −0.0737232 | + | 0.405468i | ||||
\(817\) | 2.08522e15 | 0.200415 | ||||||||
\(818\) | −5.57981e15 | + | 7.58869e15i | −0.532692 | + | 0.724476i | ||||
\(819\) | −3.79005e16 | + | 3.79005e16i | −3.59404 | + | 3.59404i | ||||
\(820\) | 7.79647e14 | + | 4.08500e14i | 0.0734381 | + | 0.0384783i | ||||
\(821\) | 1.29997e16 | + | 1.29997e16i | 1.21632 | + | 1.21632i | 0.968912 | + | 0.247406i | \(0.0795780\pi\) |
0.247406 | + | 0.968912i | \(0.420422\pi\) | |||||||
\(822\) | −5.01490e14 | − | 3.28733e15i | −0.0466088 | − | 0.305526i | ||||
\(823\) | − | 9.57009e15i | − | 0.883521i | −0.897133 | − | 0.441760i | \(-0.854354\pi\) | ||
0.897133 | − | 0.441760i | \(-0.145646\pi\) | |||||||
\(824\) | 1.38207e16 | + | 4.75314e15i | 1.26745 | + | 0.435894i | ||||
\(825\) | 1.29074e16i | 1.17583i | ||||||||
\(826\) | 3.22469e16 | − | 4.91934e15i | 2.91808 | − | 0.445160i | ||||
\(827\) | 2.06170e15 | + | 2.06170e15i | 0.185330 | + | 0.185330i | 0.793674 | − | 0.608344i | \(-0.208166\pi\) |
−0.608344 | + | 0.793674i | \(0.708166\pi\) | |||||||
\(828\) | 3.85383e14 | + | 1.23372e15i | 0.0344132 | + | 0.110167i | ||||
\(829\) | −9.19446e15 | + | 9.19446e15i | −0.815598 | + | 0.815598i | −0.985467 | − | 0.169869i | \(-0.945666\pi\) |
0.169869 | + | 0.985467i | \(0.445666\pi\) | |||||||
\(830\) | −4.49072e15 | − | 3.30193e15i | −0.395718 | − | 0.290964i | ||||
\(831\) | 1.49467e16 | 1.30840 | ||||||||
\(832\) | 2.17776e16 | − | 2.69030e15i | 1.89379 | − | 0.233950i | ||||
\(833\) | 5.73813e15 | 0.495705 | ||||||||
\(834\) | −1.32412e16 | − | 9.73598e15i | −1.13636 | − | 0.835538i | ||||
\(835\) | −7.81254e15 | + | 7.81254e15i | −0.666065 | + | 0.666065i | ||||
\(836\) | 2.73144e15 | + | 8.74413e15i | 0.231343 | + | 0.740597i | ||||
\(837\) | 1.30118e15 | + | 1.30118e15i | 0.109483 | + | 0.109483i | ||||
\(838\) | −1.85235e16 | + | 2.82580e15i | −1.54839 | + | 0.236211i | ||||
\(839\) | 1.17712e16i | 0.977528i | 0.872416 | + | 0.488764i | \(0.162552\pi\) | ||||
−0.872416 | + | 0.488764i | \(0.837448\pi\) | |||||||
\(840\) | −1.77949e16 | − | 6.11991e15i | −1.46811 | − | 0.504904i | ||||
\(841\) | 8.36215e15i | 0.685394i | ||||||||
\(842\) | −1.58855e15 | − | 1.04131e16i | −0.129355 | − | 0.847940i | ||||
\(843\) | 1.02593e16 | + | 1.02593e16i | 0.829978 | + | 0.829978i | ||||
\(844\) | −1.69962e16 | − | 8.90525e15i | −1.36606 | − | 0.715752i | ||||
\(845\) | 1.32778e16 | − | 1.32778e16i | 1.06026 | − | 1.06026i | ||||
\(846\) | 1.27613e16 | − | 1.73557e16i | 1.01241 | − | 1.37691i | ||||
\(847\) | −3.83828e15 | −0.302537 | ||||||||
\(848\) | 4.67383e14 | + | 8.49807e13i | 0.0366013 | + | 0.00665492i | ||||
\(849\) | 9.45533e15 | 0.735673 | ||||||||
\(850\) | 1.33822e15 | − | 1.82001e15i | 0.103448 | − | 0.140692i | ||||
\(851\) | −5.50164e14 | + | 5.50164e14i | −0.0422551 | + | 0.0422551i | ||||
\(852\) | 7.70795e14 | − | 1.47111e15i | 0.0588194 | − | 0.112260i | ||||
\(853\) | −9.41578e15 | − | 9.41578e15i | −0.713899 | − | 0.713899i | 0.253450 | − | 0.967349i | \(-0.418435\pi\) |
−0.967349 | + | 0.253450i | \(0.918435\pi\) | |||||||
\(854\) | −7.20851e13 | − | 4.72527e14i | −0.00543035 | − | 0.0355966i | ||||
\(855\) | − | 8.45052e15i | − | 0.632514i | ||||||
\(856\) | 1.77479e16 | − | 8.66435e15i | 1.31990 | − | 0.644362i | ||||
\(857\) | 3.55343e14i | 0.0262575i | 0.999914 | + | 0.0131287i | \(0.00417913\pi\) | ||||
−0.999914 | + | 0.0131287i | \(0.995821\pi\) | |||||||
\(858\) | −4.45773e16 | + | 6.80037e15i | −3.27291 | + | 0.499290i | ||||
\(859\) | −1.10513e16 | − | 1.10513e16i | −0.806216 | − | 0.806216i | 0.177843 | − | 0.984059i | \(-0.443088\pi\) |
−0.984059 | + | 0.177843i | \(0.943088\pi\) | |||||||
\(860\) | −2.09491e15 | + | 6.54395e14i | −0.151853 | + | 0.0474349i | ||||
\(861\) | −3.92071e15 | + | 3.92071e15i | −0.282389 | + | 0.282389i | ||||
\(862\) | −1.06958e16 | − | 7.86443e15i | −0.765465 | − | 0.562830i | ||||
\(863\) | 1.12704e16 | 0.801460 | 0.400730 | − | 0.916196i | \(-0.368757\pi\) | ||||
0.400730 | + | 0.916196i | \(0.368757\pi\) | |||||||
\(864\) | 8.66962e15 | + | 9.17792e15i | 0.612596 | + | 0.648513i | ||||
\(865\) | 5.78315e15 | 0.406047 | ||||||||
\(866\) | −9.68303e15 | − | 7.11973e15i | −0.675559 | − | 0.496724i | ||||
\(867\) | 1.52294e16 | − | 1.52294e16i | 1.05579 | − | 1.05579i | ||||
\(868\) | −4.11203e15 | + | 1.28449e15i | −0.283268 | + | 0.0884856i | ||||
\(869\) | −6.76308e15 | − | 6.76308e15i | −0.462952 | − | 0.462952i | ||||
\(870\) | 7.40136e15 | − | 1.12910e15i | 0.503449 | − | 0.0768024i | ||||
\(871\) | 2.50098e16i | 1.69048i | ||||||||
\(872\) | −5.75269e15 | − | 1.17837e16i | −0.386394 | − | 0.791481i | ||||
\(873\) | 3.09427e14i | 0.0206529i | ||||||||
\(874\) | −1.20480e14 | − | 7.89762e14i | −0.00799102 | − | 0.0523821i | ||||
\(875\) | 1.74720e16 | + | 1.74720e16i | 1.15159 | + | 1.15159i | ||||
\(876\) | −1.28397e16 | + | 2.45054e16i | −0.840976 | + | 1.60505i | ||||
\(877\) | −1.18211e16 | + | 1.18211e16i | −0.769414 | + | 0.769414i | −0.978003 | − | 0.208589i | \(-0.933113\pi\) |
0.208589 | + | 0.978003i | \(0.433113\pi\) | |||||||
\(878\) | 1.31019e16 | − | 1.78189e16i | 0.847450 | − | 1.15256i | ||||
\(879\) | −3.46359e16 | −2.22632 | ||||||||
\(880\) | −5.48826e15 | − | 7.92756e15i | −0.350574 | − | 0.506390i | ||||
\(881\) | 1.37908e16 | 0.875430 | 0.437715 | − | 0.899114i | \(-0.355788\pi\) | ||||
0.437715 | + | 0.899114i | \(0.355788\pi\) | |||||||
\(882\) | 2.81403e16 | − | 3.82716e16i | 1.77522 | − | 2.41435i | ||||
\(883\) | 2.35176e15 | − | 2.35176e15i | 0.147438 | − | 0.147438i | −0.629534 | − | 0.776973i | \(-0.716754\pi\) |
0.776973 | + | 0.629534i | \(0.216754\pi\) | |||||||
\(884\) | 6.99066e15 | + | 3.66279e15i | 0.435543 | + | 0.228205i | ||||
\(885\) | −1.79006e16 | − | 1.79006e16i | −1.10836 | − | 1.10836i | ||||
\(886\) | 2.10041e15 | + | 1.37684e16i | 0.129246 | + | 0.847225i | ||||
\(887\) | − | 7.28863e15i | − | 0.445724i | −0.974850 | − | 0.222862i | \(-0.928460\pi\) | ||
0.974850 | − | 0.222862i | \(-0.0715399\pi\) | |||||||
\(888\) | −6.90270e15 | + | 2.00710e16i | −0.419515 | + | 1.21983i | ||||
\(889\) | − | 8.59700e15i | − | 0.519263i | ||||||
\(890\) | 5.52065e15 | − | 8.42188e14i | 0.331394 | − | 0.0505550i | ||||
\(891\) | 1.68516e15 | + | 1.68516e15i | 0.100534 | + | 0.100534i | ||||
\(892\) | 2.44476e15 | + | 7.82638e15i | 0.144954 | + | 0.464039i | ||||
\(893\) | −9.41532e15 | + | 9.41532e15i | −0.554820 | + | 0.554820i | ||||
\(894\) | 3.45746e16 | + | 2.54220e16i | 2.02489 | + | 1.48886i | ||||
\(895\) | 8.63463e15 | 0.502593 | ||||||||
\(896\) | −2.84520e16 | + | 8.00614e15i | −1.64596 | + | 0.463158i | ||||
\(897\) | 3.93248e15 | 0.226104 | ||||||||
\(898\) | 1.05082e16 | + | 7.72645e15i | 0.600493 | + | 0.441530i | ||||
\(899\) | 1.21198e15 | − | 1.21198e15i | 0.0688363 | − | 0.0688363i | ||||
\(900\) | −5.57619e15 | − | 1.78510e16i | −0.314777 | − | 1.00769i | ||||
\(901\) | 1.20814e14 | + | 1.20814e14i | 0.00677844 | + | 0.00677844i | ||||
\(902\) | −2.80853e15 | + | 4.28448e14i | −0.156618 | + | 0.0238925i | ||||
\(903\) | − | 1.38258e16i | − | 0.766313i | ||||||
\(904\) | −9.36383e15 | + | 2.72273e16i | −0.515855 | + | 1.49995i | ||||
\(905\) | − | 5.85148e15i | − | 0.320404i | ||||||
\(906\) | 3.36938e15 | + | 2.20867e16i | 0.183377 | + | 1.20206i | ||||
\(907\) | −1.38649e16 | − | 1.38649e16i | −0.750026 | − | 0.750026i | 0.224457 | − | 0.974484i | \(-0.427939\pi\) |
−0.974484 | + | 0.224457i | \(0.927939\pi\) | |||||||
\(908\) | −9.85668e15 | − | 5.16446e15i | −0.529979 | − | 0.277685i | ||||
\(909\) | −1.77756e16 | + | 1.77756e16i | −0.949997 | + | 0.949997i | ||||
\(910\) | −2.06562e16 | + | 2.80930e16i | −1.09729 | + | 1.49235i | ||||
\(911\) | 4.60466e15 | 0.243134 | 0.121567 | − | 0.992583i | \(-0.461208\pi\) | ||||
0.121567 | + | 0.992583i | \(0.461208\pi\) | |||||||
\(912\) | −1.24050e16 | − | 1.79186e16i | −0.651069 | − | 0.940441i | ||||
\(913\) | 1.79915e16 | 0.938595 | ||||||||
\(914\) | −1.96570e16 | + | 2.67341e16i | −1.01933 | + | 1.38631i | ||||
\(915\) | −2.62305e14 | + | 2.62305e14i | −0.0135204 | + | 0.0135204i | ||||
\(916\) | −2.74024e15 | + | 5.22990e15i | −0.140399 | + | 0.267959i | ||||
\(917\) | −3.78817e16 | − | 3.78817e16i | −1.92929 | − | 1.92929i | ||||
\(918\) | 6.84790e14 | + | 4.48889e15i | 0.0346675 | + | 0.227250i | ||||
\(919\) | 3.57692e15i | 0.180000i | 0.995942 | + | 0.0900002i | \(0.0286868\pi\) | ||||
−0.995942 | + | 0.0900002i | \(0.971313\pi\) | |||||||
\(920\) | 3.68887e14 | + | 7.55622e14i | 0.0184527 | + | 0.0377982i | ||||
\(921\) | − | 4.05812e16i | − | 2.01789i | ||||||
\(922\) | −1.03864e15 | + | 1.58447e14i | −0.0513388 | + | 0.00783185i | ||||
\(923\) | −2.17612e15 | − | 2.17612e15i | −0.106923 | − | 0.106923i | ||||
\(924\) | 5.79768e16 | − | 1.81105e16i | 2.83177 | − | 0.884573i | ||||
\(925\) | 7.96044e15 | − | 7.96044e15i | 0.386507 | − | 0.386507i | ||||
\(926\) | −1.85166e16 | − | 1.36149e16i | −0.893719 | − | 0.657133i | ||||
\(927\) | 4.35168e16 | 2.08794 | ||||||||
\(928\) | 8.54875e15 | − | 8.07529e15i | 0.407745 | − | 0.385163i | ||||
\(929\) | −2.60435e16 | −1.23484 | −0.617422 | − | 0.786632i | \(-0.711823\pi\) | ||||
−0.617422 | + | 0.786632i | \(0.711823\pi\) | |||||||
\(930\) | 2.69353e15 | + | 1.98050e15i | 0.126960 | + | 0.0933509i | ||||
\(931\) | −2.07620e16 | + | 2.07620e16i | −0.972849 | + | 0.972849i | ||||
\(932\) | 2.31753e16 | − | 7.23938e15i | 1.07954 | − | 0.337220i | ||||
\(933\) | 2.84804e16 | + | 2.84804e16i | 1.31885 | + | 1.31885i | ||||
\(934\) | 3.48643e16 | − | 5.31863e15i | 1.60499 | − | 0.244846i | ||||
\(935\) | − | 3.46785e15i | − | 0.158707i | ||||||
\(936\) | 5.87126e16 | − | 2.86629e16i | 2.67125 | − | 1.30408i | ||||
\(937\) | 3.91020e16i | 1.76861i | 0.466912 | + | 0.884304i | \(0.345367\pi\) | ||||
−0.466912 | + | 0.884304i | \(0.654633\pi\) | |||||||
\(938\) | −5.08038e15 | − | 3.33025e16i | −0.228444 | − | 1.49748i | ||||
\(939\) | −2.98233e16 | − | 2.98233e16i | −1.33320 | − | 1.33320i | ||||
\(940\) | 6.50430e15 | − | 1.24138e16i | 0.289066 | − | 0.551700i | ||||
\(941\) | 3.89415e15 | − | 3.89415e15i | 0.172056 | − | 0.172056i | −0.615826 | − | 0.787882i | \(-0.711178\pi\) |
0.787882 | + | 0.615826i | \(0.211178\pi\) | |||||||
\(942\) | −3.69443e16 | + | 5.02452e16i | −1.62281 | + | 2.20706i | ||||
\(943\) | 2.47760e14 | 0.0108198 | ||||||||
\(944\) | −3.91210e16 | − | 7.11308e15i | −1.69850 | − | 0.308824i | ||||
\(945\) | −2.00627e16 | −0.865993 | ||||||||
\(946\) | 4.19649e15 | − | 5.70734e15i | 0.180088 | − | 0.244925i | ||||
\(947\) | 2.18994e16 | − | 2.18994e16i | 0.934346 | − | 0.934346i | −0.0636279 | − | 0.997974i | \(-0.520267\pi\) |
0.997974 | + | 0.0636279i | \(0.0202671\pi\) | |||||||
\(948\) | 2.01548e16 | + | 1.05602e16i | 0.854936 | + | 0.447948i | ||||
\(949\) | 3.62493e16 | + | 3.62493e16i | 1.52875 | + | 1.52875i | ||||
\(950\) | 1.74325e15 | + | 1.14272e16i | 0.0730938 | + | 0.479139i | ||||
\(951\) | 7.92649e15i | 0.330436i | ||||||||
\(952\) | −1.00527e16 | − | 3.45725e15i | −0.416656 | − | 0.143294i | ||||
\(953\) | 1.83361e16i | 0.755607i | 0.925886 | + | 0.377803i | \(0.123320\pi\) | ||||
−0.925886 | + | 0.377803i | \(0.876680\pi\) | |||||||
\(954\) | 1.39827e15 | − | 2.13309e14i | 0.0572895 | − | 0.00873965i | ||||
\(955\) | −1.52843e15 | − | 1.52843e15i | −0.0622626 | − | 0.0622626i | ||||
\(956\) | −2.52662e14 | − | 8.08843e14i | −0.0102334 | − | 0.0327601i | ||||
\(957\) | −1.70881e16 | + | 1.70881e16i | −0.688143 | + | 0.688143i | ||||
\(958\) | 1.43083e16 | + | 1.05206e16i | 0.572898 | + | 0.421240i | ||||
\(959\) | 8.30003e15 | 0.330428 | ||||||||
\(960\) | 1.80860e16 | + | 1.41088e16i | 0.715897 | + | 0.558468i | ||||
\(961\) | −2.46431e16 | −0.969877 | ||||||||
\(962\) | 3.16863e16 | + | 2.32983e16i | 1.23996 | + | 0.911719i | ||||
\(963\) | 4.15816e16 | − | 4.15816e16i | 1.61792 | − | 1.61792i | ||||
\(964\) | −4.06893e15 | − | 1.30258e16i | −0.157419 | − | 0.503943i | ||||
\(965\) | 1.35470e16 | + | 1.35470e16i | 0.521127 | + | 0.521127i | ||||
\(966\) | −5.23641e15 | + | 7.98827e14i | −0.200290 | + | 0.0305547i | ||||
\(967\) | 4.02755e16i | 1.53178i | 0.642974 | + | 0.765888i | \(0.277700\pi\) | ||||
−0.642974 | + | 0.765888i | \(0.722300\pi\) | |||||||
\(968\) | 4.42437e15 | + | 1.52160e15i | 0.167316 | + | 0.0575423i | ||||
\(969\) | − | 7.83833e15i | − | 0.294743i | ||||||
\(970\) | 3.03578e13 | + | 1.98999e14i | 0.00113508 | + | 0.00744057i | ||||
\(971\) | −6.03111e15 | − | 6.03111e15i | −0.224229 | − | 0.224229i | 0.586048 | − | 0.810276i | \(-0.300683\pi\) |
−0.810276 | + | 0.586048i | \(0.800683\pi\) | |||||||
\(972\) | −2.63968e16 | − | 1.38308e16i | −0.975860 | − | 0.511307i | ||||
\(973\) | 2.90070e16 | − | 2.90070e16i | 1.06631 | − | 1.06631i | ||||
\(974\) | −8.85811e15 | + | 1.20473e16i | −0.323793 | + | 0.440367i | ||||
\(975\) | −5.69000e16 | −2.06817 | ||||||||
\(976\) | −1.04231e14 | + | 5.73257e14i | −0.00376723 | + | 0.0207193i | ||||
\(977\) | 4.37405e16 | 1.57204 | 0.786020 | − | 0.618201i | \(-0.212138\pi\) | ||||
0.786020 | + | 0.618201i | \(0.212138\pi\) | |||||||
\(978\) | −8.22860e15 | + | 1.11911e16i | −0.294078 | + | 0.399954i | ||||
\(979\) | −1.27460e16 | + | 1.27460e16i | −0.452968 | + | 0.452968i | ||||
\(980\) | 1.43428e16 | − | 2.73741e16i | 0.506863 | − | 0.967378i | ||||
\(981\) | −2.76080e16 | − | 2.76080e16i | −0.970189 | − | 0.970189i | ||||
\(982\) | −4.26859e15 | − | 2.79812e16i | −0.149167 | − | 0.977806i | ||||
\(983\) | − | 4.47204e16i | − | 1.55404i | −0.629477 | − | 0.777019i | \(-0.716731\pi\) | ||
0.629477 | − | 0.777019i | \(-0.283269\pi\) | |||||||
\(984\) | 6.07366e15 | − | 2.96510e15i | 0.209883 | − | 0.102463i | ||||
\(985\) | 1.10782e16i | 0.380689i | ||||||||
\(986\) | 4.18116e15 | − | 6.37846e14i | 0.142881 | − | 0.0217968i | ||||
\(987\) | 6.24270e16 | + | 6.24270e16i | 2.12143 | + | 2.12143i | ||||
\(988\) | −3.85468e16 | + | 1.20410e16i | −1.30264 | + | 0.406912i | ||||
\(989\) | −4.36844e14 | + | 4.36844e14i | −0.0146807 | + | 0.0146807i | ||||
\(990\) | −2.31295e16 | − | 1.70066e16i | −0.772988 | − | 0.568362i | ||||
\(991\) | 6.29973e15 | 0.209371 | 0.104686 | − | 0.994505i | \(-0.466616\pi\) | ||||
0.104686 | + | 0.994505i | \(0.466616\pi\) | |||||||
\(992\) | 5.24912e15 | + | 1.49495e14i | 0.173489 | + | 0.00494098i | ||||
\(993\) | −7.72164e16 | −2.53798 | ||||||||
\(994\) | 3.33972e15 | + | 2.45562e15i | 0.109165 | + | 0.0802669i | ||||
\(995\) | 2.32567e15 | − | 2.32567e15i | 0.0755997 | − | 0.0755997i | ||||
\(996\) | −4.08549e16 | + | 1.27620e16i | −1.32074 | + | 0.412566i | ||||
\(997\) | −1.47683e16 | − | 1.47683e16i | −0.474796 | − | 0.474796i | 0.428666 | − | 0.903463i | \(-0.358984\pi\) |
−0.903463 | + | 0.428666i | \(0.858984\pi\) | |||||||
\(998\) | 3.68202e16 | − | 5.61700e15i | 1.17725 | − | 0.179592i | ||||
\(999\) | 2.26289e16i | 0.719537i |
(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 | 16.12.e.a.5.4 | ✓ | 42 | |
4.3 | odd | 2 | 64.12.e.a.49.19 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.97.3 | 42 | |||
8.5 | even | 2 | 128.12.e.b.97.19 | 42 | |||
16.3 | odd | 4 | 64.12.e.a.17.19 | 42 | |||
16.5 | even | 4 | 128.12.e.b.33.19 | 42 | |||
16.11 | odd | 4 | 128.12.e.a.33.3 | 42 | |||
16.13 | even | 4 | inner | 16.12.e.a.13.4 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.4 | ✓ | 42 | 1.1 | even | 1 | trivial | |
16.12.e.a.13.4 | yes | 42 | 16.13 | even | 4 | inner | |
64.12.e.a.17.19 | 42 | 16.3 | odd | 4 | |||
64.12.e.a.49.19 | 42 | 4.3 | odd | 2 | |||
128.12.e.a.33.3 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.97.3 | 42 | 8.3 | odd | 2 | |||
128.12.e.b.33.19 | 42 | 16.5 | even | 4 | |||
128.12.e.b.97.19 | 42 | 8.5 | even | 2 |