Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,12,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(9.22011816672\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 247 x^{18} - 23916 x^{16} + 14713536 x^{14} - 45723119616 x^{12} + 40864324780032 x^{10} + \cdots + 12\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{104}\cdot 3^{42}\cdot 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Root | \(-16.0196 + 15.9804i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.12.b.a.11.5 |
$q$-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 \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −32.0392 | + | 31.9607i | −0.707974 | + | 0.706239i | ||||
\(3\) | 70.6484 | − | 414.917i | 0.167855 | − | 0.985812i | ||||
\(4\) | 5.02409 | − | 2047.99i | 0.00245317 | − | 0.999997i | ||||
\(5\) | 1842.04i | 0.263611i | 0.991276 | + | 0.131805i | \(0.0420774\pi\) | ||||
−0.991276 | + | 0.131805i | \(0.957923\pi\) | |||||||
\(6\) | 10997.5 | + | 15551.6i | 0.577381 | + | 0.816475i | ||||
\(7\) | 16302.4i | 0.366616i | 0.983056 | + | 0.183308i | \(0.0586805\pi\) | ||||
−0.983056 | + | 0.183308i | \(0.941319\pi\) | |||||||
\(8\) | 65294.4 | + | 65776.7i | 0.704500 | + | 0.709704i | ||||
\(9\) | −167165. | − | 58626.4i | −0.943649 | − | 0.330948i | ||||
\(10\) | −58872.8 | − | 59017.4i | −0.186172 | − | 0.186629i | ||||
\(11\) | −485828. | −0.909542 | −0.454771 | − | 0.890608i | \(-0.650279\pi\) | ||||
−0.454771 | + | 0.890608i | \(0.650279\pi\) | |||||||
\(12\) | −849392. | − | 146772.i | −0.985397 | − | 0.170273i | ||||
\(13\) | −1.36551e6 | −1.02001 | −0.510006 | − | 0.860171i | \(-0.670357\pi\) | ||||
−0.510006 | + | 0.860171i | \(0.670357\pi\) | |||||||
\(14\) | −521035. | − | 522315.i | −0.258918 | − | 0.259554i | ||||
\(15\) | 764291. | + | 130137.i | 0.259871 | + | 0.0442485i | ||||
\(16\) | −4.19425e6 | − | 20578.6i | −0.999988 | − | 0.00490632i | ||||
\(17\) | 8.90746e6i | 1.52154i | 0.649019 | + | 0.760772i | \(0.275180\pi\) | ||||
−0.649019 | + | 0.760772i | \(0.724820\pi\) | |||||||
\(18\) | 7.22957e6 | − | 3.46436e6i | 0.901807 | − | 0.432139i | ||||
\(19\) | − | 107974.i | − | 0.0100040i | −0.999987 | − | 0.00500199i | \(-0.998408\pi\) | ||
0.999987 | − | 0.00500199i | \(-0.00159219\pi\) | |||||||
\(20\) | 3.77248e6 | + | 9254.56i | 0.263610 | + | 0.000646682i | ||||
\(21\) | 6.76412e6 | + | 1.15174e6i | 0.361414 | + | 0.0615385i | ||||
\(22\) | 1.55655e7 | − | 1.55274e7i | 0.643931 | − | 0.642354i | ||||
\(23\) | −5.58155e7 | −1.80822 | −0.904112 | − | 0.427296i | \(-0.859466\pi\) | ||||
−0.904112 | + | 0.427296i | \(0.859466\pi\) | |||||||
\(24\) | 3.19048e7 | − | 2.24447e7i | 0.817889 | − | 0.575377i | ||||
\(25\) | 4.54350e7 | 0.930509 | ||||||||
\(26\) | 4.37498e7 | − | 4.36426e7i | 0.722141 | − | 0.720372i | ||||
\(27\) | −3.61350e7 | + | 6.52175e7i | −0.484649 | + | 0.874709i | ||||
\(28\) | 3.33871e7 | + | 81904.5i | 0.366615 | + | 0.000899371i | ||||
\(29\) | 1.27942e8i | 1.15831i | 0.815218 | + | 0.579154i | \(0.196617\pi\) | ||||
−0.815218 | + | 0.579154i | \(0.803383\pi\) | |||||||
\(30\) | −2.86466e7 | + | 2.02578e7i | −0.215232 | + | 0.152204i | ||||
\(31\) | − | 1.30377e8i | − | 0.817921i | −0.912552 | − | 0.408960i | \(-0.865891\pi\) | ||
0.912552 | − | 0.408960i | \(-0.134109\pi\) | |||||||
\(32\) | 1.35038e8 | − | 1.33392e8i | 0.711430 | − | 0.702757i | ||||
\(33\) | −3.43230e7 | + | 2.01578e8i | −0.152672 | + | 0.896637i | ||||
\(34\) | −2.84689e8 | − | 2.85388e8i | −1.07457 | − | 1.07721i | ||||
\(35\) | −3.00295e7 | −0.0966439 | ||||||||
\(36\) | −1.20906e8 | + | 3.42058e8i | −0.333262 | + | 0.942834i | ||||
\(37\) | −3.44489e8 | −0.816705 | −0.408353 | − | 0.912824i | \(-0.633897\pi\) | ||||
−0.408353 | + | 0.912824i | \(0.633897\pi\) | |||||||
\(38\) | 3.45092e6 | + | 3.45939e6i | 0.00706520 | + | 0.00708255i | ||||
\(39\) | −9.64708e7 | + | 5.66571e8i | −0.171215 | + | 1.00554i | ||||
\(40\) | −1.21163e8 | + | 1.20275e8i | −0.187086 | + | 0.185714i | ||||
\(41\) | − | 9.40493e8i | − | 1.26778i | −0.773423 | − | 0.633891i | \(-0.781457\pi\) | ||
0.773423 | − | 0.633891i | \(-0.218543\pi\) | |||||||
\(42\) | −2.53527e8 | + | 1.79285e8i | −0.299333 | + | 0.211677i | ||||
\(43\) | − | 9.39748e8i | − | 0.974844i | −0.873167 | − | 0.487422i | \(-0.837937\pi\) | ||
0.873167 | − | 0.487422i | \(-0.162063\pi\) | |||||||
\(44\) | −2.44084e6 | + | 9.94972e8i | −0.00223126 | + | 0.909539i | ||||
\(45\) | 1.07992e8 | − | 3.07923e8i | 0.0872414 | − | 0.248756i | ||||
\(46\) | 1.78829e9 | − | 1.78391e9i | 1.28017 | − | 1.27704i | ||||
\(47\) | 9.85584e8 | 0.626838 | 0.313419 | − | 0.949615i | \(-0.398526\pi\) | ||||
0.313419 | + | 0.949615i | \(0.398526\pi\) | |||||||
\(48\) | −3.04856e8 | + | 1.73881e9i | −0.172690 | + | 0.984976i | ||||
\(49\) | 1.71156e9 | 0.865593 | ||||||||
\(50\) | −1.45570e9 | + | 1.45214e9i | −0.658776 | + | 0.657162i | ||||
\(51\) | 3.69585e9 | + | 6.29298e8i | 1.49996 | + | 0.255400i | ||||
\(52\) | −6.86043e6 | + | 2.79655e9i | −0.00250226 | + | 1.02001i | ||||
\(53\) | − | 1.84952e9i | − | 0.607495i | −0.952753 | − | 0.303748i | \(-0.901762\pi\) | ||
0.952753 | − | 0.303748i | \(-0.0982379\pi\) | |||||||
\(54\) | −9.26662e8 | − | 3.24442e9i | −0.274635 | − | 0.961549i | ||||
\(55\) | − | 8.94912e8i | − | 0.239765i | ||||||
\(56\) | −1.07232e9 | + | 1.06445e9i | −0.260189 | + | 0.258281i | ||||
\(57\) | −4.48001e7 | − | 7.62817e6i | −0.00986204 | − | 0.00167922i | ||||
\(58\) | −4.08912e9 | − | 4.09916e9i | −0.818042 | − | 0.820051i | ||||
\(59\) | −5.76202e9 | −1.04927 | −0.524637 | − | 0.851326i | \(-0.675799\pi\) | ||||
−0.524637 | + | 0.851326i | \(0.675799\pi\) | |||||||
\(60\) | 2.70360e8 | − | 1.56461e9i | 0.0448859 | − | 0.259761i | ||||
\(61\) | −7.38482e9 | −1.11950 | −0.559752 | − | 0.828660i | \(-0.689104\pi\) | ||||
−0.559752 | + | 0.828660i | \(0.689104\pi\) | |||||||
\(62\) | 4.16694e9 | + | 4.17717e9i | 0.577647 | + | 0.579066i | ||||
\(63\) | 9.55749e8 | − | 2.72518e9i | 0.121331 | − | 0.345957i | ||||
\(64\) | −6.32172e7 | + | 8.58970e9i | −0.00735945 | + | 0.999973i | ||||
\(65\) | − | 2.51531e9i | − | 0.268886i | ||||||
\(66\) | −5.34290e9 | − | 7.55539e9i | −0.525152 | − | 0.742618i | ||||
\(67\) | 1.05400e10i | 0.953735i | 0.878975 | + | 0.476868i | \(0.158228\pi\) | ||||
−0.878975 | + | 0.476868i | \(0.841772\pi\) | |||||||
\(68\) | 1.82424e10 | + | 4.47519e7i | 1.52154 | + | 0.00373261i | ||||
\(69\) | −3.94328e9 | + | 2.31588e10i | −0.303520 | + | 1.78257i | ||||
\(70\) | 9.62123e8 | − | 9.59766e8i | 0.0684213 | − | 0.0682537i | ||||
\(71\) | −1.58034e10 | −1.03951 | −0.519755 | − | 0.854315i | \(-0.673977\pi\) | ||||
−0.519755 | + | 0.854315i | \(0.673977\pi\) | |||||||
\(72\) | −7.05866e9 | − | 1.48235e10i | −0.429926 | − | 0.902864i | ||||
\(73\) | 1.99415e10 | 1.12585 | 0.562927 | − | 0.826506i | \(-0.309675\pi\) | ||||
0.562927 | + | 0.826506i | \(0.309675\pi\) | |||||||
\(74\) | 1.10371e10 | − | 1.10101e10i | 0.578206 | − | 0.576789i | ||||
\(75\) | 3.20991e9 | − | 1.88517e10i | 0.156191 | − | 0.917307i | ||||
\(76\) | −2.21129e8 | − | 542469.i | −0.0100040 | − | 2.45415e-5i | ||||
\(77\) | − | 7.92014e9i | − | 0.333452i | ||||||
\(78\) | −1.50172e10 | − | 2.12358e10i | −0.588936 | − | 0.832814i | ||||
\(79\) | 1.66155e10i | 0.607525i | 0.952748 | + | 0.303762i | \(0.0982429\pi\) | ||||
−0.952748 | + | 0.303762i | \(0.901757\pi\) | |||||||
\(80\) | 3.79066e7 | − | 7.72597e9i | 0.00129336 | − | 0.263608i | ||||
\(81\) | 2.45069e10 | + | 1.96005e10i | 0.780947 | + | 0.624597i | ||||
\(82\) | 3.00588e10 | + | 3.01327e10i | 0.895357 | + | 0.897556i | ||||
\(83\) | −3.12525e10 | −0.870873 | −0.435436 | − | 0.900219i | \(-0.643406\pi\) | ||||
−0.435436 | + | 0.900219i | \(0.643406\pi\) | |||||||
\(84\) | 2.39273e9 | − | 1.38471e10i | 0.0624249 | − | 0.361262i | ||||
\(85\) | −1.64079e10 | −0.401096 | ||||||||
\(86\) | 3.00350e10 | + | 3.01088e10i | 0.688473 | + | 0.690164i | ||||
\(87\) | 5.30852e10 | + | 9.03889e9i | 1.14187 | + | 0.194428i | ||||
\(88\) | −3.17218e10 | − | 3.19562e10i | −0.640772 | − | 0.645505i | ||||
\(89\) | − | 5.55310e10i | − | 1.05412i | −0.849828 | − | 0.527061i | \(-0.823294\pi\) | ||
0.849828 | − | 0.527061i | \(-0.176706\pi\) | |||||||
\(90\) | 6.38147e9 | + | 1.33171e10i | 0.113917 | + | 0.237726i | ||||
\(91\) | − | 2.22610e10i | − | 0.373952i | ||||||
\(92\) | −2.80422e8 | + | 1.14310e11i | −0.00443588 | + | 1.80822i | ||||
\(93\) | −5.40955e10 | − | 9.21092e9i | −0.806316 | − | 0.137292i | ||||
\(94\) | −3.15774e10 | + | 3.15000e10i | −0.443785 | + | 0.442698i | ||||
\(95\) | 1.98891e8 | 0.00263716 | ||||||||
\(96\) | −4.58063e10 | − | 6.54536e10i | −0.573368 | − | 0.819298i | ||||
\(97\) | −4.52802e10 | −0.535382 | −0.267691 | − | 0.963505i | \(-0.586261\pi\) | ||||
−0.267691 | + | 0.963505i | \(0.586261\pi\) | |||||||
\(98\) | −5.48371e10 | + | 5.47027e10i | −0.612817 | + | 0.611315i | ||||
\(99\) | 8.12132e10 | + | 2.84823e10i | 0.858288 | + | 0.301011i | ||||
\(100\) | 2.28270e8 | − | 9.30507e10i | 0.00228270 | − | 0.930507i | ||||
\(101\) | − | 7.04743e10i | − | 0.667211i | −0.942713 | − | 0.333606i | \(-0.891735\pi\) | ||
0.942713 | − | 0.333606i | \(-0.108265\pi\) | |||||||
\(102\) | −1.38525e11 | + | 9.79599e10i | −1.24230 | + | 0.878511i | ||||
\(103\) | − | 8.56630e10i | − | 0.728096i | −0.931380 | − | 0.364048i | \(-0.881394\pi\) | ||
0.931380 | − | 0.364048i | \(-0.118606\pi\) | |||||||
\(104\) | −8.91599e10 | − | 8.98185e10i | −0.718598 | − | 0.723906i | ||||
\(105\) | −2.12154e9 | + | 1.24598e10i | −0.0162222 | + | 0.0952727i | ||||
\(106\) | 5.91121e10 | + | 5.92573e10i | 0.429037 | + | 0.430090i | ||||
\(107\) | 6.87116e10 | 0.473608 | 0.236804 | − | 0.971557i | \(-0.423900\pi\) | ||||
0.236804 | + | 0.971557i | \(0.423900\pi\) | |||||||
\(108\) | 1.33384e11 | + | 7.43319e10i | 0.873517 | + | 0.486793i | ||||
\(109\) | 1.08394e11 | 0.674777 | 0.337388 | − | 0.941366i | \(-0.390456\pi\) | ||||
0.337388 | + | 0.941366i | \(0.390456\pi\) | |||||||
\(110\) | 2.86021e10 | + | 2.86723e10i | 0.169331 | + | 0.169747i | ||||
\(111\) | −2.43376e10 | + | 1.42934e11i | −0.137088 | + | 0.805117i | ||||
\(112\) | 3.35480e8 | − | 6.83762e10i | 0.00179874 | − | 0.366611i | ||||
\(113\) | 2.57009e10i | 0.131225i | 0.997845 | + | 0.0656125i | \(0.0209001\pi\) | ||||
−0.997845 | + | 0.0656125i | \(0.979100\pi\) | |||||||
\(114\) | 1.67916e9 | − | 1.18744e9i | 0.00816800 | − | 0.00577611i | ||||
\(115\) | − | 1.02814e11i | − | 0.476667i | ||||||
\(116\) | 2.62024e11 | + | 6.42792e8i | 1.15830 | + | 0.00284152i | ||||
\(117\) | 2.28264e11 | + | 8.00547e10i | 0.962533 | + | 0.337571i | ||||
\(118\) | 1.84611e11 | − | 1.84158e11i | 0.742858 | − | 0.741038i | ||||
\(119\) | −1.45213e11 | −0.557822 | ||||||||
\(120\) | 4.13440e10 | + | 5.87698e10i | 0.151675 | + | 0.215604i | ||||
\(121\) | −4.92830e10 | −0.172734 | ||||||||
\(122\) | 2.36604e11 | − | 2.36024e11i | 0.792579 | − | 0.790637i | ||||
\(123\) | −3.90226e11 | − | 6.64443e10i | −1.24979 | − | 0.212804i | ||||
\(124\) | −2.67011e11 | − | 6.55025e8i | −0.817918 | − | 0.00200650i | ||||
\(125\) | 1.73636e11i | 0.508903i | ||||||||
\(126\) | 5.64772e10 | + | 1.17859e11i | 0.158429 | + | 0.330617i | ||||
\(127\) | 2.98675e11i | 0.802191i | 0.916036 | + | 0.401096i | \(0.131370\pi\) | ||||
−0.916036 | + | 0.401096i | \(0.868630\pi\) | |||||||
\(128\) | −2.72508e11 | − | 2.77228e11i | −0.701010 | − | 0.713152i | ||||
\(129\) | −3.89917e11 | − | 6.63917e10i | −0.961012 | − | 0.163633i | ||||
\(130\) | 8.03912e10 | + | 8.05886e10i | 0.189898 | + | 0.190364i | ||||
\(131\) | 2.12063e10 | 0.0480255 | 0.0240127 | − | 0.999712i | \(-0.492356\pi\) | ||||
0.0240127 | + | 0.999712i | \(0.492356\pi\) | |||||||
\(132\) | 4.12658e11 | + | 7.13060e10i | 0.896260 | + | 0.154871i | ||||
\(133\) | 1.76022e9 | 0.00366762 | ||||||||
\(134\) | −3.36865e11 | − | 3.37692e11i | −0.673565 | − | 0.675219i | ||||
\(135\) | −1.20133e11 | − | 6.65619e10i | −0.230583 | − | 0.127759i | ||||
\(136\) | −5.85903e11 | + | 5.81607e11i | −1.07985 | + | 1.07193i | ||||
\(137\) | 1.01885e12i | 1.80363i | 0.432117 | + | 0.901817i | \(0.357767\pi\) | ||||
−0.432117 | + | 0.901817i | \(0.642233\pi\) | |||||||
\(138\) | −6.13832e11 | − | 8.68020e11i | −1.04403 | − | 1.47637i | ||||
\(139\) | − | 2.22475e11i | − | 0.363663i | −0.983330 | − | 0.181832i | \(-0.941797\pi\) | ||
0.983330 | − | 0.181832i | \(-0.0582026\pi\) | |||||||
\(140\) | −1.50871e8 | + | 6.15003e10i | −0.000237084 | + | 0.0966436i | ||||
\(141\) | 6.96300e10 | − | 4.08935e11i | 0.105218 | − | 0.617944i | ||||
\(142\) | 5.06327e11 | − | 5.05087e11i | 0.735945 | − | 0.734142i | ||||
\(143\) | 6.63401e11 | 0.927743 | ||||||||
\(144\) | 6.99924e11 | + | 2.49334e11i | 0.942014 | + | 0.335574i | ||||
\(145\) | −2.35674e11 | −0.305342 | ||||||||
\(146\) | −6.38911e11 | + | 6.37345e11i | −0.797075 | + | 0.795122i | ||||
\(147\) | 1.20919e11 | − | 7.10155e11i | 0.145294 | − | 0.853311i | ||||
\(148\) | −1.73074e9 | + | 7.05510e11i | −0.00200352 | + | 0.816703i | ||||
\(149\) | − | 4.83320e11i | − | 0.539150i | −0.962979 | − | 0.269575i | \(-0.913117\pi\) | ||
0.962979 | − | 0.269575i | \(-0.0868833\pi\) | |||||||
\(150\) | 4.99672e11 | + | 7.06587e11i | 0.537259 | + | 0.759737i | ||||
\(151\) | 1.38396e12i | 1.43466i | 0.696733 | + | 0.717331i | \(0.254636\pi\) | ||||
−0.696733 | + | 0.717331i | \(0.745364\pi\) | |||||||
\(152\) | 7.10215e9 | − | 7.05007e9i | 0.00709987 | − | 0.00704781i | ||||
\(153\) | 5.22212e11 | − | 1.48901e12i | 0.503552 | − | 1.43580i | ||||
\(154\) | 2.53133e11 | + | 2.53755e11i | 0.235497 | + | 0.236075i | ||||
\(155\) | 2.40159e11 | 0.215613 | ||||||||
\(156\) | 1.15985e12 | + | 2.00418e11i | 1.00512 | + | 0.173681i | ||||
\(157\) | 5.51215e11 | 0.461183 | 0.230592 | − | 0.973051i | \(-0.425934\pi\) | ||||
0.230592 | + | 0.973051i | \(0.425934\pi\) | |||||||
\(158\) | −5.31043e11 | − | 5.32347e11i | −0.429058 | − | 0.430112i | ||||
\(159\) | −7.67398e11 | − | 1.30666e11i | −0.598876 | − | 0.101971i | ||||
\(160\) | 2.45713e11 | + | 2.48746e11i | 0.185254 | + | 0.187541i | ||||
\(161\) | − | 9.09925e11i | − | 0.662923i | ||||||
\(162\) | −1.41163e12 | + | 1.55274e11i | −0.994005 | + | 0.109337i | ||||
\(163\) | − | 1.35112e12i | − | 0.919735i | −0.887988 | − | 0.459867i | \(-0.847897\pi\) | ||
0.887988 | − | 0.459867i | \(-0.152103\pi\) | |||||||
\(164\) | −1.92612e12 | − | 4.72512e9i | −1.26778 | − | 0.00311008i | ||||
\(165\) | −3.71314e11 | − | 6.32241e10i | −0.236363 | − | 0.0402459i | ||||
\(166\) | 1.00130e12 | − | 9.98852e11i | 0.616555 | − | 0.615044i | ||||
\(167\) | 2.76988e12 | 1.65014 | 0.825070 | − | 0.565030i | \(-0.191135\pi\) | ||||
0.825070 | + | 0.565030i | \(0.191135\pi\) | |||||||
\(168\) | 3.65902e11 | + | 5.20123e11i | 0.210942 | + | 0.299851i | ||||
\(169\) | 7.24460e10 | 0.0404239 | ||||||||
\(170\) | 5.25695e11 | − | 5.24407e11i | 0.283965 | − | 0.283269i | ||||
\(171\) | −6.33011e9 | + | 1.80494e10i | −0.00331080 | + | 0.00944025i | ||||
\(172\) | −1.92460e12 | − | 4.72138e9i | −0.974841 | − | 0.00239146i | ||||
\(173\) | 1.53462e12i | 0.752915i | 0.926434 | + | 0.376458i | \(0.122858\pi\) | ||||
−0.926434 | + | 0.376458i | \(0.877142\pi\) | |||||||
\(174\) | −1.98970e12 | + | 1.40704e12i | −0.945729 | + | 0.668785i | ||||
\(175\) | 7.40698e11i | 0.341139i | ||||||||
\(176\) | 2.03769e12 | + | 9.99766e9i | 0.909531 | + | 0.00446251i | ||||
\(177\) | −4.07077e11 | + | 2.39076e12i | −0.176126 | + | 1.03439i | ||||
\(178\) | 1.77481e12 | + | 1.77917e12i | 0.744462 | + | 0.746290i | ||||
\(179\) | −1.08982e12 | −0.443263 | −0.221632 | − | 0.975130i | \(-0.571138\pi\) | ||||
−0.221632 | + | 0.975130i | \(0.571138\pi\) | |||||||
\(180\) | −6.30082e11 | − | 2.22714e11i | −0.248541 | − | 0.0878514i | ||||
\(181\) | −2.29429e12 | −0.877841 | −0.438921 | − | 0.898526i | \(-0.644639\pi\) | ||||
−0.438921 | + | 0.898526i | \(0.644639\pi\) | |||||||
\(182\) | 7.11477e11 | + | 7.13224e11i | 0.264100 | + | 0.264748i | ||||
\(183\) | −5.21726e11 | + | 3.06408e12i | −0.187915 | + | 1.10362i | ||||
\(184\) | −3.64444e12 | − | 3.67136e12i | −1.27389 | − | 1.28330i | ||||
\(185\) | − | 6.34560e11i | − | 0.215292i | ||||||
\(186\) | 2.02757e12 | − | 1.43382e12i | 0.667811 | − | 0.472252i | ||||
\(187\) | − | 4.32749e12i | − | 1.38391i | ||||||
\(188\) | 4.95166e9 | − | 2.01847e12i | 0.00153774 | − | 0.626836i | ||||
\(189\) | −1.06320e12 | − | 5.89085e11i | −0.320682 | − | 0.177680i | ||||
\(190\) | −6.37232e9 | + | 6.35671e9i | −0.00186704 | + | 0.00186246i | ||||
\(191\) | −6.77238e12 | −1.92778 | −0.963891 | − | 0.266299i | \(-0.914199\pi\) | ||||
−0.963891 | + | 0.266299i | \(0.914199\pi\) | |||||||
\(192\) | 3.55954e12 | + | 6.33079e11i | 0.984550 | + | 0.175106i | ||||
\(193\) | 2.41050e12 | 0.647950 | 0.323975 | − | 0.946066i | \(-0.394981\pi\) | ||||
0.323975 | + | 0.946066i | \(0.394981\pi\) | |||||||
\(194\) | 1.45074e12 | − | 1.44719e12i | 0.379037 | − | 0.378108i | ||||
\(195\) | −1.04364e12 | − | 1.77703e11i | −0.265071 | − | 0.0451340i | ||||
\(196\) | 8.59903e9 | − | 3.50526e12i | 0.00212345 | − | 0.865590i | ||||
\(197\) | 1.77642e12i | 0.426562i | 0.976991 | + | 0.213281i | \(0.0684150\pi\) | ||||
−0.976991 | + | 0.213281i | \(0.931585\pi\) | |||||||
\(198\) | −3.51232e12 | + | 1.68308e12i | −0.820231 | + | 0.393049i | ||||
\(199\) | 4.72841e12i | 1.07405i | 0.843567 | + | 0.537024i | \(0.180451\pi\) | ||||
−0.843567 | + | 0.537024i | \(0.819549\pi\) | |||||||
\(200\) | 2.96665e12 | + | 2.98857e12i | 0.655544 | + | 0.660386i | ||||
\(201\) | 4.37321e12 | + | 7.44632e11i | 0.940203 | + | 0.160090i | ||||
\(202\) | 2.25241e12 | + | 2.25794e12i | 0.471211 | + | 0.472368i | ||||
\(203\) | −2.08576e12 | −0.424654 | ||||||||
\(204\) | 1.30737e12 | − | 7.56592e12i | 0.259078 | − | 1.49933i | ||||
\(205\) | 1.73242e12 | 0.334201 | ||||||||
\(206\) | 2.73785e12 | + | 2.74458e12i | 0.514210 | + | 0.515473i | ||||
\(207\) | 9.33038e12 | + | 3.27226e12i | 1.70633 | + | 0.598427i | ||||
\(208\) | 5.72728e12 | + | 2.81002e10i | 1.02000 | + | 0.00500451i | ||||
\(209\) | 5.24566e10i | 0.00909904i | ||||||||
\(210\) | −3.30250e11 | − | 4.67007e11i | −0.0558004 | − | 0.0789073i | ||||
\(211\) | − | 8.68943e12i | − | 1.43033i | −0.698953 | − | 0.715167i | \(-0.746350\pi\) | ||
0.698953 | − | 0.715167i | \(-0.253650\pi\) | |||||||
\(212\) | −3.78781e12 | − | 9.29218e9i | −0.607493 | − | 0.00149029i | ||||
\(213\) | −1.11648e12 | + | 6.55708e12i | −0.174487 | + | 1.02476i | ||||
\(214\) | −2.20147e12 | + | 2.19607e12i | −0.335302 | + | 0.334481i | ||||
\(215\) | 1.73105e12 | 0.256979 | ||||||||
\(216\) | −6.64921e12 | + | 1.88150e12i | −0.962219 | + | 0.272275i | ||||
\(217\) | 2.12545e12 | 0.299863 | ||||||||
\(218\) | −3.47287e12 | + | 3.46436e12i | −0.477724 | + | 0.476554i | ||||
\(219\) | 1.40884e12 | − | 8.27406e12i | 0.188981 | − | 1.10988i | ||||
\(220\) | −1.83278e12 | − | 4.49612e9i | −0.239764 | − | 0.000588184i | ||||
\(221\) | − | 1.21632e13i | − | 1.55199i | ||||||
\(222\) | −3.78852e12 | − | 5.35734e12i | −0.471550 | − | 0.666819i | ||||
\(223\) | 1.25001e13i | 1.51788i | 0.651160 | + | 0.758941i | \(0.274283\pi\) | ||||
−0.651160 | + | 0.758941i | \(0.725717\pi\) | |||||||
\(224\) | 2.17461e12 | + | 2.20144e12i | 0.257642 | + | 0.260822i | ||||
\(225\) | −7.59513e12 | − | 2.66369e12i | −0.878074 | − | 0.307950i | ||||
\(226\) | −8.21419e11 | − | 8.23437e11i | −0.0926762 | − | 0.0929039i | ||||
\(227\) | 7.81442e11 | 0.0860507 | 0.0430253 | − | 0.999074i | \(-0.486300\pi\) | ||||
0.0430253 | + | 0.999074i | \(0.486300\pi\) | |||||||
\(228\) | −1.58475e10 | + | 9.17119e10i | −0.00170341 | + | 0.00985789i | ||||
\(229\) | −1.14635e13 | −1.20288 | −0.601439 | − | 0.798919i | \(-0.705406\pi\) | ||||
−0.601439 | + | 0.798919i | \(0.705406\pi\) | |||||||
\(230\) | 3.28602e12 | + | 3.29409e12i | 0.336641 | + | 0.337468i | ||||
\(231\) | −3.28620e12 | − | 5.59545e11i | −0.328721 | − | 0.0559718i | ||||
\(232\) | −8.41560e12 | + | 8.35389e12i | −0.822055 | + | 0.816028i | ||||
\(233\) | − | 1.35109e13i | − | 1.28892i | −0.764638 | − | 0.644460i | \(-0.777082\pi\) | ||
0.764638 | − | 0.644460i | \(-0.222918\pi\) | |||||||
\(234\) | −9.87202e12 | + | 4.73060e12i | −0.919853 | + | 0.440787i | ||||
\(235\) | 1.81548e12i | 0.165241i | ||||||||
\(236\) | −2.89489e10 | + | 1.18006e13i | −0.00257405 | + | 1.04927i | ||||
\(237\) | 6.89404e12 | + | 1.17386e12i | 0.598905 | + | 0.101976i | ||||
\(238\) | 4.65250e12 | − | 4.64110e12i | 0.394924 | − | 0.393956i | ||||
\(239\) | 6.11384e12 | 0.507137 | 0.253569 | − | 0.967317i | \(-0.418396\pi\) | ||||
0.253569 | + | 0.967317i | \(0.418396\pi\) | |||||||
\(240\) | −3.20295e12 | − | 5.61555e11i | −0.259650 | − | 0.0455230i | ||||
\(241\) | −6.42898e12 | −0.509387 | −0.254694 | − | 0.967022i | \(-0.581975\pi\) | ||||
−0.254694 | + | 0.967022i | \(0.581975\pi\) | |||||||
\(242\) | 1.57899e12 | − | 1.57512e12i | 0.122291 | − | 0.121991i | ||||
\(243\) | 9.86396e12 | − | 8.78360e12i | 0.746821 | − | 0.665025i | ||||
\(244\) | −3.71020e10 | + | 1.51241e13i | −0.00274633 | + | 1.11950i | ||||
\(245\) | 3.15276e12i | 0.228180i | ||||||||
\(246\) | 1.46262e13 | − | 1.03431e13i | 1.03511 | − | 0.731993i | ||||
\(247\) | 1.47439e11i | 0.0102042i | ||||||||
\(248\) | 8.57576e12 | − | 8.51288e12i | 0.580482 | − | 0.576225i | ||||
\(249\) | −2.20794e12 | + | 1.29672e13i | −0.146181 | + | 0.858517i | ||||
\(250\) | −5.54954e12 | − | 5.56317e12i | −0.359407 | − | 0.360290i | ||||
\(251\) | −6.62584e12 | −0.419793 | −0.209897 | − | 0.977724i | \(-0.567313\pi\) | ||||
−0.209897 | + | 0.977724i | \(0.567313\pi\) | |||||||
\(252\) | −5.57634e12 | − | 1.97106e12i | −0.345658 | − | 0.122179i | ||||
\(253\) | 2.71167e13 | 1.64465 | ||||||||
\(254\) | −9.54586e12 | − | 9.56930e12i | −0.566539 | − | 0.567930i | ||||
\(255\) | −1.15919e12 | + | 6.80789e12i | −0.0673261 | + | 0.395405i | ||||
\(256\) | 1.75913e13 | + | 1.72624e11i | 0.999952 | + | 0.00981253i | ||||
\(257\) | 2.03446e13i | 1.13193i | 0.824431 | + | 0.565963i | \(0.191495\pi\) | ||||
−0.824431 | + | 0.565963i | \(0.808505\pi\) | |||||||
\(258\) | 1.46146e13 | − | 1.03349e13i | 0.795935 | − | 0.562857i | ||||
\(259\) | − | 5.61598e12i | − | 0.299417i | ||||||
\(260\) | −5.15134e12 | − | 1.26372e10i | −0.268885 | − | 0.000659623i | ||||
\(261\) | 7.50077e12 | − | 2.13874e13i | 0.383339 | − | 1.09304i | ||||
\(262\) | −6.79432e11 | + | 6.77767e11i | −0.0340008 | + | 0.0339175i | ||||
\(263\) | −2.41081e12 | −0.118142 | −0.0590712 | − | 0.998254i | \(-0.518814\pi\) | ||||
−0.0590712 | + | 0.998254i | \(0.518814\pi\) | |||||||
\(264\) | −1.55002e13 | + | 1.09043e13i | −0.743904 | + | 0.523329i | ||||
\(265\) | 3.40689e12 | 0.160142 | ||||||||
\(266\) | −5.63962e10 | + | 5.62581e10i | −0.00259658 | + | 0.00259021i | ||||
\(267\) | −2.30407e13 | − | 3.92318e12i | −1.03917 | − | 0.176940i | ||||
\(268\) | 2.15858e13 | + | 5.29538e10i | 0.953732 | + | 0.00233967i | ||||
\(269\) | 1.94916e13i | 0.843745i | 0.906655 | + | 0.421872i | \(0.138627\pi\) | ||||
−0.906655 | + | 0.421872i | \(0.861373\pi\) | |||||||
\(270\) | 5.97634e12 | − | 1.70695e12i | 0.253475 | − | 0.0723967i | ||||
\(271\) | 2.17704e13i | 0.904766i | 0.891824 | + | 0.452383i | \(0.149426\pi\) | ||||
−0.891824 | + | 0.452383i | \(0.850574\pi\) | |||||||
\(272\) | 1.83303e11 | − | 3.73601e13i | 0.00746519 | − | 1.52153i | ||||
\(273\) | −9.23645e12 | − | 1.57270e12i | −0.368647 | − | 0.0627700i | ||||
\(274\) | −3.25633e13 | − | 3.26433e13i | −1.27380 | − | 1.27693i | ||||
\(275\) | −2.20736e13 | −0.846337 | ||||||||
\(276\) | 4.74093e13 | + | 8.19216e12i | 1.78182 | + | 0.307892i | ||||
\(277\) | −1.17163e13 | −0.431669 | −0.215835 | − | 0.976430i | \(-0.569247\pi\) | ||||
−0.215835 | + | 0.976430i | \(0.569247\pi\) | |||||||
\(278\) | 7.11046e12 | + | 7.12792e12i | 0.256833 | + | 0.257464i | ||||
\(279\) | −7.64353e12 | + | 2.17944e13i | −0.270689 | + | 0.771830i | ||||
\(280\) | −1.96076e12 | − | 1.97524e12i | −0.0680856 | − | 0.0685886i | ||||
\(281\) | 9.99836e12i | 0.340443i | 0.985406 | + | 0.170221i | \(0.0544483\pi\) | ||||
−0.985406 | + | 0.170221i | \(0.945552\pi\) | |||||||
\(282\) | 1.08390e13 | + | 1.53274e13i | 0.361925 | + | 0.511798i | ||||
\(283\) | − | 4.71859e13i | − | 1.54521i | −0.634889 | − | 0.772603i | \(-0.718954\pi\) | ||
0.634889 | − | 0.772603i | \(-0.281046\pi\) | |||||||
\(284\) | −7.93975e10 | + | 3.23652e13i | −0.00255009 | + | 1.03951i | ||||
\(285\) | 1.40514e10 | − | 8.25233e10i | 0.000442661 | − | 0.00259974i | ||||
\(286\) | −2.12548e13 | + | 2.12028e13i | −0.656818 | + | 0.655208i | ||||
\(287\) | 1.53323e13 | 0.464789 | ||||||||
\(288\) | −3.03939e13 | + | 1.43816e13i | −0.903916 | + | 0.427710i | ||||
\(289\) | −4.50709e13 | −1.31510 | ||||||||
\(290\) | 7.55080e12 | − | 7.53230e12i | 0.216174 | − | 0.215645i | ||||
\(291\) | −3.19898e12 | + | 1.87875e13i | −0.0898669 | + | 0.527786i | ||||
\(292\) | 1.00188e11 | − | 4.08401e13i | 0.00276191 | − | 1.12585i | ||||
\(293\) | 2.18955e13i | 0.592357i | 0.955133 | + | 0.296178i | \(0.0957123\pi\) | ||||
−0.955133 | + | 0.296178i | \(0.904288\pi\) | |||||||
\(294\) | 1.88229e13 | + | 2.66175e13i | 0.499777 | + | 0.706735i | ||||
\(295\) | − | 1.06138e13i | − | 0.276600i | ||||||
\(296\) | −2.24932e13 | − | 2.26593e13i | −0.575369 | − | 0.579619i | ||||
\(297\) | 1.75554e13 | − | 3.16845e13i | 0.440808 | − | 0.795584i | ||||
\(298\) | 1.54472e13 | + | 1.54852e13i | 0.380769 | + | 0.381704i | ||||
\(299\) | 7.62165e13 | 1.84441 | ||||||||
\(300\) | −3.85921e13 | − | 6.66859e12i | −0.916921 | − | 0.158441i | ||||
\(301\) | 1.53201e13 | 0.357393 | ||||||||
\(302\) | −4.42323e13 | − | 4.43409e13i | −1.01321 | − | 1.01570i | ||||
\(303\) | −2.92410e13 | − | 4.97890e12i | −0.657745 | − | 0.111995i | ||||
\(304\) | −2.22195e9 | + | 4.52869e11i | −4.90828e−5 | + | 0.0100039i | ||||
\(305\) | − | 1.36031e13i | − | 0.295113i | ||||||
\(306\) | 3.08586e13 | + | 6.43971e13i | 0.657519 | + | 1.37214i | ||||
\(307\) | 2.68610e13i | 0.562162i | 0.959684 | + | 0.281081i | \(0.0906929\pi\) | ||||
−0.959684 | + | 0.281081i | \(0.909307\pi\) | |||||||
\(308\) | −1.62204e13 | − | 3.97915e10i | −0.333451 | − | 0.000818015i | ||||
\(309\) | −3.55430e13 | − | 6.05196e12i | −0.717766 | − | 0.122215i | ||||
\(310\) | −7.69450e12 | + | 7.67565e12i | −0.152648 | + | 0.152274i | ||||
\(311\) | 3.44085e13 | 0.670630 | 0.335315 | − | 0.942106i | \(-0.391157\pi\) | ||||
0.335315 | + | 0.942106i | \(0.391157\pi\) | |||||||
\(312\) | −4.35662e13 | + | 3.06484e13i | −0.834256 | + | 0.586891i | ||||
\(313\) | 9.40692e13 | 1.76992 | 0.884960 | − | 0.465668i | \(-0.154186\pi\) | ||||
0.884960 | + | 0.465668i | \(0.154186\pi\) | |||||||
\(314\) | −1.76605e13 | + | 1.76172e13i | −0.326505 | + | 0.325705i | ||||
\(315\) | 5.01988e12 | + | 1.76052e12i | 0.0911979 | + | 0.0319841i | ||||
\(316\) | 3.40284e13 | + | 8.34777e10i | 0.607523 | + | 0.00149036i | ||||
\(317\) | − | 7.46947e13i | − | 1.31058i | −0.755377 | − | 0.655291i | \(-0.772546\pi\) | ||
0.755377 | − | 0.655291i | \(-0.227454\pi\) | |||||||
\(318\) | 2.87630e13 | − | 2.03402e13i | 0.496004 | − | 0.350756i | ||||
\(319\) | − | 6.21577e13i | − | 1.05353i | ||||||
\(320\) | −1.58225e13 | − | 1.16448e11i | −0.263604 | − | 0.00194003i | ||||
\(321\) | 4.85436e12 | − | 2.85096e13i | 0.0794977 | − | 0.466888i | ||||
\(322\) | 2.90819e13 | + | 2.91533e13i | 0.468182 | + | 0.469332i | ||||
\(323\) | 9.61771e11 | 0.0152215 | ||||||||
\(324\) | 4.02649e13 | − | 5.00916e13i | 0.626511 | − | 0.779413i | ||||
\(325\) | −6.20418e13 | −0.949130 | ||||||||
\(326\) | 4.31828e13 | + | 4.32889e13i | 0.649553 | + | 0.651148i | ||||
\(327\) | 7.65788e12 | − | 4.49745e13i | 0.113265 | − | 0.665203i | ||||
\(328\) | 6.18625e13 | − | 6.14089e13i | 0.899750 | − | 0.893152i | ||||
\(329\) | 1.60673e13i | 0.229809i | ||||||||
\(330\) | 1.39173e13 | − | 9.84181e12i | 0.195762 | − | 0.138436i | ||||
\(331\) | 9.71996e13i | 1.34465i | 0.740254 | + | 0.672327i | \(0.234705\pi\) | ||||
−0.740254 | + | 0.672327i | \(0.765295\pi\) | |||||||
\(332\) | −1.57015e11 | + | 6.40049e13i | −0.00213640 | + | 0.870870i | ||||
\(333\) | 5.75863e13 | + | 2.01961e13i | 0.770683 | + | 0.270287i | ||||
\(334\) | −8.87449e13 | + | 8.85275e13i | −1.16826 | + | 1.16539i | ||||
\(335\) | −1.94150e13 | −0.251415 | ||||||||
\(336\) | −2.83467e13 | − | 4.96987e12i | −0.361108 | − | 0.0633110i | ||||
\(337\) | −3.36820e12 | −0.0422117 | −0.0211059 | − | 0.999777i | \(-0.506719\pi\) | ||||
−0.0211059 | + | 0.999777i | \(0.506719\pi\) | |||||||
\(338\) | −2.32111e12 | + | 2.31543e12i | −0.0286190 | + | 0.0285489i | ||||
\(339\) | 1.06637e13 | + | 1.81573e12i | 0.129363 | + | 0.0220268i | ||||
\(340\) | −8.24346e10 | + | 3.36032e13i | −0.000983955 | + | 0.401094i | ||||
\(341\) | 6.33407e13i | 0.743933i | ||||||||
\(342\) | −3.74059e11 | − | 7.80603e11i | −0.00432312 | − | 0.00902166i | ||||
\(343\) | 6.01376e13i | 0.683956i | ||||||||
\(344\) | 6.18136e13 | − | 6.13603e13i | 0.691851 | − | 0.686777i | ||||
\(345\) | −4.26593e13 | − | 7.26366e12i | −0.469904 | − | 0.0800112i | ||||
\(346\) | −4.90474e13 | − | 4.91679e13i | −0.531738 | − | 0.533044i | ||||
\(347\) | −8.18457e13 | −0.873340 | −0.436670 | − | 0.899622i | \(-0.643842\pi\) | ||||
−0.436670 | + | 0.899622i | \(0.643842\pi\) | |||||||
\(348\) | 1.87783e13 | − | 1.08673e14i | 0.197229 | − | 1.14139i | ||||
\(349\) | −1.19377e14 | −1.23419 | −0.617095 | − | 0.786889i | \(-0.711690\pi\) | ||||
−0.617095 | + | 0.786889i | \(0.711690\pi\) | |||||||
\(350\) | −2.36733e13 | − | 2.37314e13i | −0.240926 | − | 0.241518i | ||||
\(351\) | 4.93425e13 | − | 8.90549e13i | 0.494347 | − | 0.892213i | ||||
\(352\) | −6.56054e13 | + | 6.48056e13i | −0.647075 | + | 0.639187i | ||||
\(353\) | 4.57746e13i | 0.444491i | 0.974991 | + | 0.222246i | \(0.0713387\pi\) | ||||
−0.974991 | + | 0.222246i | \(0.928661\pi\) | |||||||
\(354\) | −6.33679e13 | − | 8.96085e13i | −0.605831 | − | 0.856705i | ||||
\(355\) | − | 2.91104e13i | − | 0.274026i | ||||||
\(356\) | −1.13727e14 | − | 2.78993e11i | −1.05412 | − | 0.00258594i | ||||
\(357\) | −1.02590e13 | + | 6.02511e13i | −0.0936335 | + | 0.549908i | ||||
\(358\) | 3.49169e13 | − | 3.48313e13i | 0.313819 | − | 0.313050i | ||||
\(359\) | −1.78716e14 | −1.58177 | −0.790886 | − | 0.611964i | \(-0.790380\pi\) | ||||
−0.790886 | + | 0.611964i | \(0.790380\pi\) | |||||||
\(360\) | 2.73054e13 | − | 1.30023e13i | 0.238005 | − | 0.113333i | ||||
\(361\) | 1.16479e14 | 0.999900 | ||||||||
\(362\) | 7.35073e13 | − | 7.33272e13i | 0.621489 | − | 0.619966i | ||||
\(363\) | −3.48177e12 | + | 2.04483e13i | −0.0289943 | + | 0.170283i | ||||
\(364\) | −4.55903e13 | − | 1.11841e11i | −0.373951 | − | 0.000917369i | ||||
\(365\) | 3.67330e13i | 0.296787i | ||||||||
\(366\) | −8.12146e13 | − | 1.14846e14i | −0.646381 | − | 0.914047i | ||||
\(367\) | − | 2.55478e12i | − | 0.0200304i | −0.999950 | − | 0.0100152i | \(-0.996812\pi\) | ||
0.999950 | − | 0.0100152i | \(-0.00318799\pi\) | |||||||
\(368\) | 2.34105e14 | + | 1.14861e12i | 1.80820 | + | 0.00887173i | ||||
\(369\) | −5.51377e13 | + | 1.57217e14i | −0.419569 | + | 1.19634i | ||||
\(370\) | 2.02810e13 | + | 2.03308e13i | 0.152048 | + | 0.152421i | ||||
\(371\) | 3.01516e13 | 0.222717 | ||||||||
\(372\) | −1.91357e13 | + | 1.10741e14i | −0.139270 | + | 0.805976i | ||||
\(373\) | 7.10115e13 | 0.509249 | 0.254625 | − | 0.967040i | \(-0.418048\pi\) | ||||
0.254625 | + | 0.967040i | \(0.418048\pi\) | |||||||
\(374\) | 1.38310e14 | + | 1.38649e14i | 0.977370 | + | 0.979770i | ||||
\(375\) | 7.20445e13 | + | 1.22671e13i | 0.501683 | + | 0.0854222i | ||||
\(376\) | 6.43531e13 | + | 6.48285e13i | 0.441608 | + | 0.444870i | ||||
\(377\) | − | 1.74705e14i | − | 1.18149i | ||||||
\(378\) | 5.28917e13 | − | 1.51068e13i | 0.352519 | − | 0.100686i | ||||
\(379\) | 1.80425e14i | 1.18517i | 0.805507 | + | 0.592587i | \(0.201893\pi\) | ||||
−0.805507 | + | 0.592587i | \(0.798107\pi\) | |||||||
\(380\) | 9.99248e8 | − | 4.07328e11i | 6.46939e−6 | − | 0.00263715i | ||||
\(381\) | 1.23925e14 | + | 2.11009e13i | 0.790809 | + | 0.134652i | ||||
\(382\) | 2.16982e14 | − | 2.16450e14i | 1.36482 | − | 1.36147i | ||||
\(383\) | −3.90572e12 | −0.0242163 | −0.0121082 | − | 0.999927i | \(-0.503854\pi\) | ||||
−0.0121082 | + | 0.999927i | \(0.503854\pi\) | |||||||
\(384\) | −1.34279e14 | + | 9.34823e13i | −0.820702 | + | 0.571357i | ||||
\(385\) | 1.45892e13 | 0.0879016 | ||||||||
\(386\) | −7.72305e13 | + | 7.70413e13i | −0.458732 | + | 0.457608i | ||||
\(387\) | −5.50941e13 | + | 1.57093e14i | −0.322622 | + | 0.919910i | ||||
\(388\) | −2.27492e11 | + | 9.27336e13i | −0.00131338 | + | 0.535381i | ||||
\(389\) | − | 1.85772e14i | − | 1.05744i | −0.848795 | − | 0.528722i | \(-0.822672\pi\) | ||
0.848795 | − | 0.528722i | \(-0.177328\pi\) | |||||||
\(390\) | 3.91171e13 | − | 2.76622e13i | 0.219539 | − | 0.155250i | ||||
\(391\) | − | 4.97175e14i | − | 2.75129i | ||||||
\(392\) | 1.11755e14 | + | 1.12581e14i | 0.609810 | + | 0.614315i | ||||
\(393\) | 1.49819e12 | − | 8.79883e12i | 0.00806134 | − | 0.0473441i | ||||
\(394\) | −5.67758e13 | − | 5.69153e13i | −0.301255 | − | 0.301995i | ||||
\(395\) | −3.06063e13 | −0.160150 | ||||||||
\(396\) | 5.87397e13 | − | 1.66181e14i | 0.303115 | − | 0.857547i | ||||
\(397\) | 2.02762e13 | 0.103190 | 0.0515951 | − | 0.998668i | \(-0.483569\pi\) | ||||
0.0515951 | + | 0.998668i | \(0.483569\pi\) | |||||||
\(398\) | −1.51123e14 | − | 1.51495e14i | −0.758534 | − | 0.760397i | ||||
\(399\) | 1.24357e11 | − | 7.30347e11i | 0.000615630 | − | 0.00361558i | ||||
\(400\) | −1.90566e14 | − | 9.34990e11i | −0.930498 | − | 0.00456538i | ||||
\(401\) | − | 1.37435e14i | − | 0.661915i | −0.943646 | − | 0.330957i | \(-0.892628\pi\) | ||
0.943646 | − | 0.330957i | \(-0.107372\pi\) | |||||||
\(402\) | −1.63913e14 | + | 1.15913e14i | −0.778701 | + | 0.550669i | ||||
\(403\) | 1.78030e14i | 0.834289i | ||||||||
\(404\) | −1.44331e14 | − | 3.54069e11i | −0.667209 | − | 0.00163678i | ||||
\(405\) | −3.61049e13 | + | 4.51427e13i | −0.164651 | + | 0.205866i | ||||
\(406\) | 6.68260e13 | − | 6.66622e13i | 0.300644 | − | 0.299907i | ||||
\(407\) | 1.67362e14 | 0.742827 | ||||||||
\(408\) | 1.99925e14 | + | 2.84191e14i | 0.875461 | + | 1.24445i | ||||
\(409\) | −2.48502e14 | −1.07362 | −0.536812 | − | 0.843702i | \(-0.680372\pi\) | ||||
−0.536812 | + | 0.843702i | \(0.680372\pi\) | |||||||
\(410\) | −5.55055e13 | + | 5.53695e13i | −0.236605 | + | 0.236026i | ||||
\(411\) | 4.22739e14 | + | 7.19804e13i | 1.77804 | + | 0.302750i | ||||
\(412\) | −1.75437e14 | − | 4.30379e11i | −0.728094 | − | 0.00178614i | ||||
\(413\) | − | 9.39345e13i | − | 0.384680i | ||||||
\(414\) | −4.03522e14 | + | 1.93365e14i | −1.63067 | + | 0.781405i | ||||
\(415\) | − | 5.75682e13i | − | 0.229571i | ||||||
\(416\) | −1.84396e14 | + | 1.82148e14i | −0.725667 | + | 0.716820i | ||||
\(417\) | −9.23085e13 | − | 1.57175e13i | −0.358504 | − | 0.0610429i | ||||
\(418\) | −1.67655e12 | − | 1.68067e12i | −0.00642610 | − | 0.00644188i | ||||
\(419\) | 1.45011e14 | 0.548558 | 0.274279 | − | 0.961650i | \(-0.411561\pi\) | ||||
0.274279 | + | 0.961650i | \(0.411561\pi\) | |||||||
\(420\) | 2.55068e13 | + | 4.40750e12i | 0.0952326 | + | 0.0164559i | ||||
\(421\) | −6.30248e13 | −0.232252 | −0.116126 | − | 0.993234i | \(-0.537048\pi\) | ||||
−0.116126 | + | 0.993234i | \(0.537048\pi\) | |||||||
\(422\) | 2.77720e14 | + | 2.78403e14i | 1.01016 | + | 1.01264i | ||||
\(423\) | −1.64755e14 | − | 5.77812e13i | −0.591515 | − | 0.207451i | ||||
\(424\) | 1.21656e14 | − | 1.20764e14i | 0.431142 | − | 0.427980i | ||||
\(425\) | 4.04711e14i | 1.41581i | ||||||||
\(426\) | −1.73798e14 | − | 2.45767e14i | −0.600193 | − | 0.848733i | ||||
\(427\) | − | 1.20390e14i | − | 0.410428i | ||||||
\(428\) | 3.45213e11 | − | 1.40721e14i | 0.00116184 | − | 0.473607i | ||||
\(429\) | 4.68682e13 | − | 2.75256e14i | 0.155727 | − | 0.914580i | ||||
\(430\) | −5.54615e13 | + | 5.53256e13i | −0.181935 | + | 0.181489i | ||||
\(431\) | −1.07798e14 | −0.349128 | −0.174564 | − | 0.984646i | \(-0.555852\pi\) | ||||
−0.174564 | + | 0.984646i | \(0.555852\pi\) | |||||||
\(432\) | 1.52901e14 | − | 2.72795e14i | 0.488935 | − | 0.872320i | ||||
\(433\) | 1.20967e14 | 0.381930 | 0.190965 | − | 0.981597i | \(-0.438838\pi\) | ||||
0.190965 | + | 0.981597i | \(0.438838\pi\) | |||||||
\(434\) | −6.80978e13 | + | 6.79309e13i | −0.212295 | + | 0.211775i | ||||
\(435\) | −1.66500e13 | + | 9.77849e13i | −0.0512534 | + | 0.301010i | ||||
\(436\) | 5.44582e11 | − | 2.21991e14i | 0.00165534 | − | 0.674775i | ||||
\(437\) | 6.02661e12i | 0.0180894i | ||||||||
\(438\) | 2.19307e14 | + | 3.10122e14i | 0.650047 | + | 0.919232i | ||||
\(439\) | − | 3.29980e13i | − | 0.0965901i | −0.998833 | − | 0.0482950i | \(-0.984621\pi\) | ||
0.998833 | − | 0.0482950i | \(-0.0153788\pi\) | |||||||
\(440\) | 5.88644e13 | − | 5.84328e13i | 0.170162 | − | 0.168914i | ||||
\(441\) | −2.86112e14 | − | 1.00343e14i | −0.816816 | − | 0.286466i | ||||
\(442\) | 3.88744e14 | + | 3.89699e14i | 1.09608 | + | 1.09877i | ||||
\(443\) | −3.24790e14 | −0.904445 | −0.452222 | − | 0.891905i | \(-0.649369\pi\) | ||||
−0.452222 | + | 0.891905i | \(0.649369\pi\) | |||||||
\(444\) | 2.92606e14 | + | 5.05613e13i | 0.804779 | + | 0.139063i | ||||
\(445\) | 1.02290e14 | 0.277878 | ||||||||
\(446\) | −3.99513e14 | − | 4.00494e14i | −1.07199 | − | 1.07462i | ||||
\(447\) | −2.00537e14 | − | 3.41458e13i | −0.531501 | − | 0.0904993i | ||||
\(448\) | −1.40032e14 | − | 1.03059e12i | −0.366606 | − | 0.00269809i | ||||
\(449\) | − | 9.66778e13i | − | 0.250018i | −0.992156 | − | 0.125009i | \(-0.960104\pi\) | ||
0.992156 | − | 0.125009i | \(-0.0398960\pi\) | |||||||
\(450\) | 3.28476e14 | − | 1.57403e14i | 0.839140 | − | 0.402110i | ||||
\(451\) | 4.56918e14i | 1.15310i | ||||||||
\(452\) | 5.26353e13 | + | 1.29124e11i | 0.131225 | + | 0.000321917i | ||||
\(453\) | 5.74227e14 | + | 9.77744e13i | 1.41431 | + | 0.240816i | ||||
\(454\) | −2.50368e13 | + | 2.49754e13i | −0.0609216 | + | 0.0607723i | ||||
\(455\) | 4.10055e13 | 0.0985779 | ||||||||
\(456\) | −2.42344e12 | − | 3.44488e12i | −0.00575606 | − | 0.00818214i | ||||
\(457\) | 2.56726e14 | 0.602463 | 0.301231 | − | 0.953551i | \(-0.402602\pi\) | ||||
0.301231 | + | 0.953551i | \(0.402602\pi\) | |||||||
\(458\) | 3.67281e14 | − | 3.66381e14i | 0.851606 | − | 0.849519i | ||||
\(459\) | −5.80922e14 | − | 3.21871e14i | −1.33091 | − | 0.737415i | ||||
\(460\) | −2.10563e14 | − | 5.16548e11i | −0.476666 | − | 0.00116935i | ||||
\(461\) | 6.32926e14i | 1.41579i | 0.706319 | + | 0.707894i | \(0.250354\pi\) | ||||
−0.706319 | + | 0.707894i | \(0.749646\pi\) | |||||||
\(462\) | 1.23171e14 | − | 8.71019e13i | 0.272255 | − | 0.192529i | ||||
\(463\) | 1.88075e14i | 0.410804i | 0.978678 | + | 0.205402i | \(0.0658502\pi\) | ||||
−0.978678 | + | 0.205402i | \(0.934150\pi\) | |||||||
\(464\) | 2.63287e12 | − | 5.36621e14i | 0.00568303 | − | 1.15829i | ||||
\(465\) | 1.69668e13 | − | 9.96459e13i | 0.0361918 | − | 0.212553i | ||||
\(466\) | 4.31817e14 | + | 4.32878e14i | 0.910286 | + | 0.912521i | ||||
\(467\) | 3.69467e14 | 0.769720 | 0.384860 | − | 0.922975i | \(-0.374250\pi\) | ||||
0.384860 | + | 0.922975i | \(0.374250\pi\) | |||||||
\(468\) | 1.65098e14 | − | 4.67082e14i | 0.339931 | − | 0.961702i | ||||
\(469\) | −1.71826e14 | −0.349654 | ||||||||
\(470\) | −5.80241e13 | − | 5.81666e13i | −0.116700 | − | 0.116986i | ||||
\(471\) | 3.89425e13 | − | 2.28708e14i | 0.0774121 | − | 0.454640i | ||||
\(472\) | −3.76228e14 | − | 3.79007e14i | −0.739213 | − | 0.744673i | ||||
\(473\) | 4.56556e14i | 0.886661i | ||||||||
\(474\) | −2.58397e14 | + | 1.82729e14i | −0.496029 | + | 0.350774i | ||||
\(475\) | − | 4.90578e12i | − | 0.00930880i | ||||||
\(476\) | −7.29561e11 | + | 2.97394e14i | −0.00136843 | + | 0.557821i | ||||
\(477\) | −1.08431e14 | + | 3.09175e14i | −0.201049 | + | 0.573262i | ||||
\(478\) | −1.95883e14 | + | 1.95403e14i | −0.359040 | + | 0.358160i | ||||
\(479\) | 2.87674e14 | 0.521260 | 0.260630 | − | 0.965439i | \(-0.416070\pi\) | ||||
0.260630 | + | 0.965439i | \(0.416070\pi\) | |||||||
\(480\) | 1.20568e14 | − | 8.43769e13i | 0.215976 | − | 0.151146i | ||||
\(481\) | 4.70401e14 | 0.833049 | ||||||||
\(482\) | 2.05979e14 | − | 2.05475e14i | 0.360633 | − | 0.359749i | ||||
\(483\) | −3.77543e14 | − | 6.42848e13i | −0.653517 | − | 0.111275i | ||||
\(484\) | −2.47602e11 | + | 1.00931e14i | −0.000423746 | + | 0.172733i | ||||
\(485\) | − | 8.34078e13i | − | 0.141133i | ||||||
\(486\) | −3.53035e13 | + | 5.96679e14i | −0.0590634 | + | 0.998254i | ||||
\(487\) | 2.50643e13i | 0.0414616i | 0.999785 | + | 0.0207308i | \(0.00659929\pi\) | ||||
−0.999785 | + | 0.0207308i | \(0.993401\pi\) | |||||||
\(488\) | −4.82187e14 | − | 4.85749e14i | −0.788691 | − | 0.794517i | ||||
\(489\) | −5.60603e14 | − | 9.54546e13i | −0.906685 | − | 0.154383i | ||||
\(490\) | −1.00764e14 | − | 1.01012e14i | −0.161149 | − | 0.161545i | ||||
\(491\) | 5.60964e14 | 0.887129 | 0.443565 | − | 0.896242i | \(-0.353714\pi\) | ||||
0.443565 | + | 0.896242i | \(0.353714\pi\) | |||||||
\(492\) | −1.38038e14 | + | 7.98847e14i | −0.215869 | + | 1.24927i | ||||
\(493\) | −1.13964e15 | −1.76242 | ||||||||
\(494\) | −4.71225e12 | − | 4.72382e12i | −0.00720659 | − | 0.00722429i | ||||
\(495\) | −5.24655e13 | + | 1.49598e14i | −0.0793497 | + | 0.226254i | ||||
\(496\) | −2.68297e12 | + | 5.46834e14i | −0.00401298 | + | 0.817911i | ||||
\(497\) | − | 2.57632e14i | − | 0.381101i | ||||||
\(498\) | −3.43700e14 | − | 4.86025e14i | −0.502826 | − | 0.711046i | ||||
\(499\) | 4.82841e13i | 0.0698636i | 0.999390 | + | 0.0349318i | \(0.0111214\pi\) | ||||
−0.999390 | + | 0.0349318i | \(0.988879\pi\) | |||||||
\(500\) | 3.55606e14 | + | 8.72364e11i | 0.508902 | + | 0.00124843i | ||||
\(501\) | 1.95688e14 | − | 1.14927e15i | 0.276985 | − | 1.62673i | ||||
\(502\) | 2.12287e14 | − | 2.11767e14i | 0.297202 | − | 0.296474i | ||||
\(503\) | −5.99429e14 | −0.830068 | −0.415034 | − | 0.909806i | \(-0.636230\pi\) | ||||
−0.415034 | + | 0.909806i | \(0.636230\pi\) | |||||||
\(504\) | 2.41658e14 | − | 1.15073e14i | 0.331004 | − | 0.157618i | ||||
\(505\) | 1.29816e14 | 0.175884 | ||||||||
\(506\) | −8.68799e14 | + | 8.66671e14i | −1.16437 | + | 1.16152i | ||||
\(507\) | 5.11820e12 | − | 3.00591e13i | 0.00678537 | − | 0.0398503i | ||||
\(508\) | 6.11684e14 | + | 1.50057e12i | 0.802189 | + | 0.00196791i | ||||
\(509\) | − | 2.04513e14i | − | 0.265322i | −0.991161 | − | 0.132661i | \(-0.957648\pi\) | ||
0.991161 | − | 0.132661i | \(-0.0423522\pi\) | |||||||
\(510\) | −1.80446e14 | − | 2.55168e14i | −0.231585 | − | 0.327484i | ||||
\(511\) | 3.25094e14i | 0.412756i | ||||||||
\(512\) | −5.69130e14 | + | 5.56701e14i | −0.714869 | + | 0.699258i | ||||
\(513\) | 7.04177e12 | + | 3.90163e12i | 0.00875057 | + | 0.00484842i | ||||
\(514\) | −6.50229e14 | − | 6.51827e14i | −0.799410 | − | 0.801373i | ||||
\(515\) | 1.57794e14 | 0.191934 | ||||||||
\(516\) | −1.37929e14 | + | 7.98214e14i | −0.165990 | + | 0.960608i | ||||
\(517\) | −4.78824e14 | −0.570136 | ||||||||
\(518\) | 1.79491e14 | + | 1.79932e14i | 0.211460 | + | 0.211979i | ||||
\(519\) | 6.36737e14 | + | 1.08418e14i | 0.742232 | + | 0.126381i | ||||
\(520\) | 1.65449e14 | − | 1.64236e14i | 0.190830 | − | 0.189430i | ||||
\(521\) | − | 1.15393e15i | − | 1.31695i | −0.752601 | − | 0.658477i | \(-0.771201\pi\) | ||
0.752601 | − | 0.658477i | \(-0.228799\pi\) | |||||||
\(522\) | 4.43237e14 | + | 9.24965e14i | 0.500550 | + | 1.04457i | ||||
\(523\) | − | 1.32762e15i | − | 1.48359i | −0.670628 | − | 0.741794i | \(-0.733975\pi\) | ||
0.670628 | − | 0.741794i | \(-0.266025\pi\) | |||||||
\(524\) | 1.06542e11 | − | 4.34303e13i | 0.000117815 | − | 0.0480253i | ||||
\(525\) | 3.07328e14 | + | 5.23291e13i | 0.336299 | + | 0.0572621i | ||||
\(526\) | 7.72404e13 | − | 7.70511e13i | 0.0836417 | − | 0.0834367i | ||||
\(527\) | 1.16133e15 | 1.24450 | ||||||||
\(528\) | 1.48107e14 | − | 8.44763e14i | 0.157069 | − | 0.895877i | ||||
\(529\) | 2.16256e15 | 2.26967 | ||||||||
\(530\) | −1.09154e14 | + | 1.08887e14i | −0.113376 | + | 0.113099i | ||||
\(531\) | 9.63206e14 | + | 3.37806e14i | 0.990146 | + | 0.347255i | ||||
\(532\) | 8.84353e9 | − | 3.60493e12i | 8.99729e−6 | − | 0.00366761i | ||||
\(533\) | 1.28425e15i | 1.29315i | ||||||||
\(534\) | 8.63595e14 | − | 6.10703e14i | 0.860663 | − | 0.608630i | ||||
\(535\) | 1.26569e14i | 0.124848i | ||||||||
\(536\) | −6.93284e14 | + | 6.88201e14i | −0.676870 | + | 0.671906i | ||||
\(537\) | −7.69938e13 | + | 4.52183e14i | −0.0744042 | + | 0.436974i | ||||
\(538\) | −6.22967e14 | − | 6.24497e14i | −0.595885 | − | 0.597349i | ||||
\(539\) | −8.31523e14 | −0.787293 | ||||||||
\(540\) | −1.36922e14 | + | 2.45697e14i | −0.128324 | + | 0.230269i | ||||
\(541\) | −9.52340e14 | −0.883501 | −0.441750 | − | 0.897138i | \(-0.645642\pi\) | ||||
−0.441750 | + | 0.897138i | \(0.645642\pi\) | |||||||
\(542\) | −6.95799e14 | − | 6.97508e14i | −0.638981 | − | 0.640550i | ||||
\(543\) | −1.62088e14 | + | 9.51939e14i | −0.147350 | + | 0.865386i | ||||
\(544\) | 1.18818e15 | + | 1.20285e15i | 1.06928 | + | 1.08247i | ||||
\(545\) | 1.99666e14i | 0.177878i | ||||||||
\(546\) | 3.46193e14 | − | 2.44815e14i | 0.305323 | − | 0.215913i | ||||
\(547\) | − | 1.34526e15i | − | 1.17456i | −0.809382 | − | 0.587282i | \(-0.800198\pi\) | ||
0.809382 | − | 0.587282i | \(-0.199802\pi\) | |||||||
\(548\) | 2.08661e15 | + | 5.11881e12i | 1.80363 | + | 0.00442462i | ||||
\(549\) | 1.23448e15 | + | 4.32945e14i | 1.05642 | + | 0.370497i | ||||
\(550\) | 7.07221e14 | − | 7.05488e14i | 0.599184 | − | 0.597716i | ||||
\(551\) | 1.38144e13 | 0.0115877 | ||||||||
\(552\) | −1.78078e15 | + | 1.25276e15i | −1.47893 | + | 1.04041i | ||||
\(553\) | −2.70872e14 | −0.222728 | ||||||||
\(554\) | 3.75381e14 | − | 3.74461e14i | 0.305611 | − | 0.304862i | ||||
\(555\) | −2.63290e14 | − | 4.48307e13i | −0.212238 | − | 0.0361380i | ||||
\(556\) | −4.55627e14 | − | 1.11773e12i | −0.363662 | − | 0.000892128i | ||||
\(557\) | − | 1.99341e15i | − | 1.57541i | −0.616053 | − | 0.787705i | \(-0.711269\pi\) | ||
0.616053 | − | 0.787705i | \(-0.288731\pi\) | |||||||
\(558\) | −4.51672e14 | − | 9.42568e14i | −0.353456 | − | 0.737606i | ||||
\(559\) | 1.28323e15i | 0.994352i | ||||||||
\(560\) | 1.25951e14 | + | 6.17966e11i | 0.0966427 | + | 0.000474166i | ||||
\(561\) | −1.79555e15 | − | 3.05730e14i | −1.36427 | − | 0.232297i | ||||
\(562\) | −3.19555e14 | − | 3.20340e14i | −0.240434 | − | 0.241024i | ||||
\(563\) | −2.09224e15 | −1.55889 | −0.779444 | − | 0.626472i | \(-0.784498\pi\) | ||||
−0.779444 | + | 0.626472i | \(0.784498\pi\) | |||||||
\(564\) | −8.37147e14 | − | 1.44656e14i | −0.617684 | − | 0.106734i | ||||
\(565\) | −4.73420e13 | −0.0345923 | ||||||||
\(566\) | 1.50809e15 | + | 1.51180e15i | 1.09129 | + | 1.09397i | ||||
\(567\) | −3.19535e14 | + | 3.99521e14i | −0.228987 | + | 0.286308i | ||||
\(568\) | −1.03187e15 | − | 1.03949e15i | −0.732335 | − | 0.737744i | ||||
\(569\) | 8.04249e14i | 0.565292i | 0.959224 | + | 0.282646i | \(0.0912122\pi\) | ||||
−0.959224 | + | 0.282646i | \(0.908788\pi\) | |||||||
\(570\) | 2.18731e12 | + | 3.09308e12i | 0.00152265 | + | 0.00215317i | ||||
\(571\) | − | 3.99575e14i | − | 0.275486i | −0.990468 | − | 0.137743i | \(-0.956015\pi\) | ||
0.990468 | − | 0.137743i | \(-0.0439848\pi\) | |||||||
\(572\) | 3.33299e12 | − | 1.35864e15i | 0.00227591 | − | 0.927740i | ||||
\(573\) | −4.78458e14 | + | 2.80997e15i | −0.323589 | + | 1.90043i | ||||
\(574\) | −4.91234e14 | + | 4.90030e14i | −0.329058 | + | 0.328252i | ||||
\(575\) | −2.53598e15 | −1.68257 | ||||||||
\(576\) | 5.14151e14 | − | 1.43219e15i | 0.337884 | − | 0.941188i | ||||
\(577\) | −2.75977e14 | −0.179641 | −0.0898205 | − | 0.995958i | \(-0.528629\pi\) | ||||
−0.0898205 | + | 0.995958i | \(0.528629\pi\) | |||||||
\(578\) | 1.44404e15 | − | 1.44050e15i | 0.931055 | − | 0.928773i | ||||
\(579\) | 1.70298e14 | − | 1.00016e15i | 0.108762 | − | 0.638757i | ||||
\(580\) | −1.18405e12 | + | 4.82658e14i | −0.000749056 | + | 0.305341i | ||||
\(581\) | − | 5.09489e14i | − | 0.319276i | ||||||
\(582\) | −4.97970e14 | − | 7.04179e14i | −0.309120 | − | 0.437126i | ||||
\(583\) | 8.98550e14i | 0.552542i | ||||||||
\(584\) | 1.30207e15 | + | 1.31169e15i | 0.793165 | + | 0.799023i | ||||
\(585\) | −1.47464e14 | + | 4.20471e14i | −0.0889872 | + | 0.253734i | ||||
\(586\) | −6.99797e14 | − | 7.01515e14i | −0.418345 | − | 0.419373i | ||||
\(587\) | 1.45165e15 | 0.859712 | 0.429856 | − | 0.902898i | \(-0.358564\pi\) | ||||
0.429856 | + | 0.902898i | \(0.358564\pi\) | |||||||
\(588\) | −1.45378e15 | − | 2.51209e14i | −0.852952 | − | 0.147387i | ||||
\(589\) | −1.40773e13 | −0.00818246 | ||||||||
\(590\) | 3.39226e14 | + | 3.40059e14i | 0.195345 | + | 0.195825i | ||||
\(591\) | 7.37068e14 | + | 1.25502e14i | 0.420510 | + | 0.0716008i | ||||
\(592\) | 1.44487e15 | + | 7.08910e12i | 0.816695 | + | 0.00400702i | ||||
\(593\) | 6.13996e14i | 0.343846i | 0.985110 | + | 0.171923i | \(0.0549981\pi\) | ||||
−0.985110 | + | 0.171923i | \(0.945002\pi\) | |||||||
\(594\) | 4.50198e14 | + | 1.57623e15i | 0.249792 | + | 0.874569i | ||||
\(595\) | − | 2.67487e14i | − | 0.147048i | ||||||
\(596\) | −9.89836e14 | − | 2.42824e12i | −0.539149 | − | 0.00132263i | ||||
\(597\) | 1.96190e15 | + | 3.34055e14i | 1.05881 | + | 0.180285i | ||||
\(598\) | −2.44192e15 | + | 2.43593e15i | −1.30579 | + | 1.30259i | ||||
\(599\) | 1.34920e15 | 0.714872 | 0.357436 | − | 0.933938i | \(-0.383651\pi\) | ||||
0.357436 | + | 0.933938i | \(0.383651\pi\) | |||||||
\(600\) | 1.44960e15 | − | 1.01978e15i | 0.761053 | − | 0.535393i | ||||
\(601\) | −6.98822e14 | −0.363544 | −0.181772 | − | 0.983341i | \(-0.558183\pi\) | ||||
−0.181772 | + | 0.983341i | \(0.558183\pi\) | |||||||
\(602\) | −4.90845e14 | + | 4.89642e14i | −0.253025 | + | 0.252405i | ||||
\(603\) | 6.17920e14 | − | 1.76191e15i | 0.315637 | − | 0.899991i | ||||
\(604\) | 2.83434e15 | + | 6.95313e12i | 1.43466 | + | 0.00351947i | ||||
\(605\) | − | 9.07811e13i | − | 0.0455345i | ||||||
\(606\) | 1.09599e15 | − | 7.75043e14i | 0.544761 | − | 0.385235i | ||||
\(607\) | 3.22822e15i | 1.59010i | 0.606541 | + | 0.795052i | \(0.292557\pi\) | ||||
−0.606541 | + | 0.795052i | \(0.707443\pi\) | |||||||
\(608\) | −1.44028e13 | − | 1.45806e13i | −0.00703037 | − | 0.00711713i | ||||
\(609\) | −1.47355e14 | + | 8.65415e14i | −0.0712805 | + | 0.418629i | ||||
\(610\) | 4.34765e14 | + | 4.35833e14i | 0.208421 | + | 0.208932i | ||||
\(611\) | −1.34582e15 | −0.639382 | ||||||||
\(612\) | −3.04686e15 | − | 1.07697e15i | −1.43456 | − | 0.507073i | ||||
\(613\) | 1.30407e15 | 0.608510 | 0.304255 | − | 0.952591i | \(-0.401593\pi\) | ||||
0.304255 | + | 0.952591i | \(0.401593\pi\) | |||||||
\(614\) | −8.58498e14 | − | 8.60606e14i | −0.397021 | − | 0.397996i | ||||
\(615\) | 1.22393e14 | − | 7.18811e14i | 0.0560974 | − | 0.329459i | ||||
\(616\) | 5.20961e14 | − | 5.17141e14i | 0.236652 | − | 0.234917i | ||||
\(617\) | − | 3.21229e14i | − | 0.144626i | −0.997382 | − | 0.0723131i | \(-0.976962\pi\) | ||
0.997382 | − | 0.0723131i | \(-0.0230381\pi\) | |||||||
\(618\) | 1.33220e15 | − | 9.42081e14i | 0.594472 | − | 0.420389i | ||||
\(619\) | − | 1.82215e15i | − | 0.805906i | −0.915221 | − | 0.402953i | \(-0.867984\pi\) | ||
0.915221 | − | 0.402953i | \(-0.132016\pi\) | |||||||
\(620\) | 1.20658e12 | − | 4.91844e14i | 0.000528934 | − | 0.215612i | ||||
\(621\) | 2.01689e15 | − | 3.64015e15i | 0.876353 | − | 1.58167i | ||||
\(622\) | −1.10242e15 | + | 1.09972e15i | −0.474788 | + | 0.473625i | ||||
\(623\) | 9.05287e14 | 0.386458 | ||||||||
\(624\) | 4.16282e14 | − | 2.37436e15i | 0.176146 | − | 1.00469i | ||||
\(625\) | 1.89866e15 | 0.796357 | ||||||||
\(626\) | −3.01390e15 | + | 3.00652e15i | −1.25306 | + | 1.24999i | ||||
\(627\) | 2.17651e13 | + | 3.70598e12i | 0.00896994 | + | 0.00152732i | ||||
\(628\) | 2.76936e12 | − | 1.12889e15i | 0.00113136 | − | 0.461182i | ||||
\(629\) | − | 3.06852e15i | − | 1.24265i | ||||||
\(630\) | −2.17101e14 | + | 1.04033e14i | −0.0871541 | + | 0.0417636i | ||||
\(631\) | − | 2.15030e15i | − | 0.855731i | −0.903843 | − | 0.427865i | \(-0.859266\pi\) | ||
0.903843 | − | 0.427865i | \(-0.140734\pi\) | |||||||
\(632\) | −1.09291e15 | + | 1.08490e15i | −0.431163 | + | 0.428001i | ||||
\(633\) | −3.60539e15 | − | 6.13894e14i | −1.41004 | − | 0.240090i | ||||
\(634\) | 2.38730e15 | + | 2.39316e15i | 0.925583 | + | 0.927857i | ||||
\(635\) | −5.50169e14 | −0.211466 | ||||||||
\(636\) | −2.71459e14 | + | 1.57097e15i | −0.103440 | + | 0.598624i | ||||
\(637\) | −2.33715e15 | −0.882915 | ||||||||
\(638\) | 1.98661e15 | + | 1.99149e15i | 0.744043 | + | 0.745871i | ||||
\(639\) | 2.64176e15 | + | 9.26494e14i | 0.980932 | + | 0.344023i | ||||
\(640\) | 5.10664e14 | − | 5.01969e14i | 0.187995 | − | 0.184794i | ||||
\(641\) | − | 1.81435e15i | − | 0.662219i | −0.943592 | − | 0.331109i | \(-0.892577\pi\) | ||
0.943592 | − | 0.331109i | \(-0.107423\pi\) | |||||||
\(642\) | 7.55657e14 | + | 1.06857e15i | 0.273453 | + | 0.386689i | ||||
\(643\) | 5.04028e15i | 1.80840i | 0.427111 | + | 0.904199i | \(0.359532\pi\) | ||||
−0.427111 | + | 0.904199i | \(0.640468\pi\) | |||||||
\(644\) | −1.86352e15 | − | 4.57155e12i | −0.662921 | − | 0.00162626i | ||||
\(645\) | 1.22296e14 | − | 7.18242e14i | 0.0431354 | − | 0.253333i | ||||
\(646\) | −3.08144e13 | + | 3.07389e13i | −0.0107764 | + | 0.0107500i | ||||
\(647\) | −3.96904e14 | −0.137630 | −0.0688149 | − | 0.997629i | \(-0.521922\pi\) | ||||
−0.0688149 | + | 0.997629i | \(0.521922\pi\) | |||||||
\(648\) | 3.10909e14 | + | 2.89179e15i | 0.106898 | + | 0.994270i | ||||
\(649\) | 2.79935e15 | 0.954358 | ||||||||
\(650\) | 1.98777e15 | − | 1.98290e15i | 0.671959 | − | 0.670313i | ||||
\(651\) | 1.50160e14 | − | 8.81885e14i | 0.0503336 | − | 0.295608i | ||||
\(652\) | −2.76709e15 | − | 6.78816e12i | −0.919732 | − | 0.00225627i | ||||
\(653\) | 5.63137e15i | 1.85606i | 0.372507 | + | 0.928030i | \(0.378498\pi\) | ||||
−0.372507 | + | 0.928030i | \(0.621502\pi\) | |||||||
\(654\) | 1.19207e15 | + | 1.68570e15i | 0.389604 | + | 0.550938i | ||||
\(655\) | 3.90627e13i | 0.0126600i | ||||||||
\(656\) | −1.93540e13 | + | 3.94467e15i | −0.00622015 | + | 1.26777i | ||||
\(657\) | −3.33351e15 | − | 1.16910e15i | −1.06241 | − | 0.372599i | ||||
\(658\) | −5.13524e14 | − | 5.14785e14i | −0.162300 | − | 0.162699i | ||||
\(659\) | 5.78078e15 | 1.81183 | 0.905914 | − | 0.423463i | \(-0.139185\pi\) | ||||
0.905914 | + | 0.423463i | \(0.139185\pi\) | |||||||
\(660\) | −1.31348e14 | + | 7.60131e14i | −0.0408256 | + | 0.236264i | ||||
\(661\) | −5.65482e15 | −1.74306 | −0.871528 | − | 0.490347i | \(-0.836870\pi\) | ||||
−0.871528 | + | 0.490347i | \(0.836870\pi\) | |||||||
\(662\) | −3.10657e15 | − | 3.11420e15i | −0.949647 | − | 0.951979i | ||||
\(663\) | −5.04671e15 | − | 8.59310e14i | −1.52997 | − | 0.260511i | ||||
\(664\) | −2.04061e15 | − | 2.05568e15i | −0.613530 | − | 0.618062i | ||||
\(665\) | 3.24240e12i | 0.000966824i | ||||||||
\(666\) | −2.49050e15 | + | 1.19343e15i | −0.736510 | + | 0.352931i | ||||
\(667\) | − | 7.14115e15i | − | 2.09448i | ||||||
\(668\) | 1.39161e13 | − | 5.67270e15i | 0.00404807 | − | 1.65014i | ||||
\(669\) | 5.18651e15 | + | 8.83114e14i | 1.49634 | + | 0.254785i | ||||
\(670\) | 6.22042e14 | − | 6.20517e14i | 0.177995 | − | 0.177559i | ||||
\(671\) | 3.58775e15 | 1.01824 | ||||||||
\(672\) | 1.06705e15 | − | 7.46751e14i | 0.300368 | − | 0.210206i | ||||
\(673\) | 2.96214e13 | 0.00827032 | 0.00413516 | − | 0.999991i | \(-0.498684\pi\) | ||||
0.00413516 | + | 0.999991i | \(0.498684\pi\) | |||||||
\(674\) | 1.07914e14 | − | 1.07650e14i | 0.0298848 | − | 0.0298116i | ||||
\(675\) | −1.64179e15 | + | 2.96316e15i | −0.450970 | + | 0.813925i | ||||
\(676\) | 3.63975e11 | − | 1.48369e14i | 9.91666e−5 | − | 0.0404237i | ||||
\(677\) | 1.99030e15i | 0.537874i | 0.963158 | + | 0.268937i | \(0.0866723\pi\) | ||||
−0.963158 | + | 0.268937i | \(0.913328\pi\) | |||||||
\(678\) | −3.99690e14 | + | 2.82646e14i | −0.107142 | + | 0.0757669i | ||||
\(679\) | − | 7.38175e14i | − | 0.196280i | ||||||
\(680\) | −1.07134e15 | − | 1.07926e15i | −0.282572 | − | 0.284659i | ||||
\(681\) | 5.52076e13 | − | 3.24233e14i | 0.0144441 | − | 0.0848298i | ||||
\(682\) | −2.02441e15 | − | 2.02939e15i | −0.525394 | − | 0.526685i | ||||
\(683\) | −5.07970e15 | −1.30775 | −0.653874 | − | 0.756603i | \(-0.726857\pi\) | ||||
−0.653874 | + | 0.756603i | \(0.726857\pi\) | |||||||
\(684\) | 3.69332e13 | + | 1.30547e13i | 0.00943210 | + | 0.00333394i | ||||
\(685\) | −1.87677e15 | −0.475458 | ||||||||
\(686\) | −1.92204e15 | − | 1.92676e15i | −0.483036 | − | 0.484223i | ||||
\(687\) | −8.09877e14 | + | 4.75639e15i | −0.201910 | + | 1.18581i | ||||
\(688\) | −1.93387e13 | + | 3.94154e15i | −0.00478290 | + | 0.974832i | ||||
\(689\) | 2.52554e15i | 0.619652i | ||||||||
\(690\) | 1.59892e15 | − | 1.13070e15i | 0.389187 | − | 0.275219i | ||||
\(691\) | 2.69916e15i | 0.651777i | 0.945408 | + | 0.325889i | \(0.105663\pi\) | ||||
−0.945408 | + | 0.325889i | \(0.894337\pi\) | |||||||
\(692\) | 3.14288e15 | + | 7.71005e12i | 0.752913 | + | 0.00184703i | ||||
\(693\) | −4.64329e14 | + | 1.32397e15i | −0.110355 | + | 0.314662i | ||||
\(694\) | 2.62227e15 | − | 2.61585e15i | 0.618302 | − | 0.616787i | ||||
\(695\) | 4.09807e14 | 0.0958656 | ||||||||
\(696\) | 2.87162e15 | + | 4.08196e15i | 0.666463 | + | 0.947367i | ||||
\(697\) | 8.37740e15 | 1.92899 | ||||||||
\(698\) | 3.82476e15 | − | 3.81538e15i | 0.873774 | − | 0.871633i | ||||
\(699\) | −5.60589e15 | − | 9.54522e14i | −1.27063 | − | 0.216352i | ||||
\(700\) | 1.51695e15 | + | 3.72133e12i | 0.341138 | + | 0.000836873i | ||||
\(701\) | − | 4.18730e15i | − | 0.934298i | −0.884179 | − | 0.467149i | \(-0.845281\pi\) | ||
0.884179 | − | 0.467149i | \(-0.154719\pi\) | |||||||
\(702\) | 1.26536e15 | + | 4.43027e15i | 0.280131 | + | 0.980791i | ||||
\(703\) | 3.71957e13i | 0.00817030i | ||||||||
\(704\) | 3.07127e13 | − | 4.17312e15i | 0.00669373 | − | 0.909517i | ||||
\(705\) | 7.53274e14 | + | 1.28261e14i | 0.162897 | + | 0.0277367i | ||||
\(706\) | −1.46299e15 | − | 1.46658e15i | −0.313917 | − | 0.314688i | ||||
\(707\) | 1.14890e15 | 0.244610 | ||||||||
\(708\) | 4.89421e15 | + | 8.45704e14i | 1.03395 | + | 0.178663i | ||||
\(709\) | −3.09885e14 | −0.0649601 | −0.0324801 | − | 0.999472i | \(-0.510341\pi\) | ||||
−0.0324801 | + | 0.999472i | \(0.510341\pi\) | |||||||
\(710\) | 9.30388e14 | + | 9.32674e14i | 0.193528 | + | 0.194003i | ||||
\(711\) | 9.74106e14 | − | 2.77752e15i | 0.201059 | − | 0.573290i | ||||
\(712\) | 3.65265e15 | − | 3.62586e15i | 0.748114 | − | 0.742629i | ||||
\(713\) | 7.27705e15i | 1.47898i | ||||||||
\(714\) | −1.59698e15 | − | 2.25829e15i | −0.322076 | − | 0.455448i | ||||
\(715\) | 1.22201e15i | 0.244563i | ||||||||
\(716\) | −5.47534e12 | + | 2.23194e15i | −0.00108740 | + | 0.443262i | ||||
\(717\) | 4.31933e14 | − | 2.53673e15i | 0.0851258 | − | 0.499942i | ||||
\(718\) | 5.72592e15 | − | 5.71189e15i | 1.11985 | − | 1.11711i | ||||
\(719\) | −6.87880e15 | −1.33507 | −0.667534 | − | 0.744579i | \(-0.732650\pi\) | ||||
−0.667534 | + | 0.744579i | \(0.732650\pi\) | |||||||
\(720\) | −4.59282e14 | + | 1.28929e15i | −0.0884608 | + | 0.248325i | ||||
\(721\) | 1.39651e15 | 0.266932 | ||||||||
\(722\) | −3.73188e15 | + | 3.72274e15i | −0.707903 | + | 0.706168i | ||||
\(723\) | −4.54197e14 | + | 2.66749e15i | −0.0855035 | + | 0.502160i | ||||
\(724\) | −1.15267e13 | + | 4.69869e15i | −0.00215349 | + | 0.877839i | ||||
\(725\) | 5.81304e15i | 1.07782i | ||||||||
\(726\) | −5.41991e14 | − | 7.66429e14i | −0.0997333 | − | 0.141033i | ||||
\(727\) | − | 9.49131e15i | − | 1.73335i | −0.498871 | − | 0.866676i | \(-0.666252\pi\) | ||
0.498871 | − | 0.866676i | \(-0.333748\pi\) | |||||||
\(728\) | 1.46425e15 | − | 1.45352e15i | 0.265396 | − | 0.263450i | ||||
\(729\) | −2.94759e15 | − | 4.71327e15i | −0.530231 | − | 0.847853i | ||||
\(730\) | −1.17401e15 | − | 1.17690e15i | −0.209603 | − | 0.210118i | ||||
\(731\) | 8.37077e15 | 1.48327 | ||||||||
\(732\) | 6.27260e15 | + | 1.08389e15i | 1.10316 | + | 0.190622i | ||||
\(733\) | −1.98406e15 | −0.346324 | −0.173162 | − | 0.984893i | \(-0.555398\pi\) | ||||
−0.173162 | + | 0.984893i | \(0.555398\pi\) | |||||||
\(734\) | 8.16525e13 | + | 8.18530e13i | 0.0141462 | + | 0.0141810i | ||||
\(735\) | 1.30813e15 | + | 2.22737e14i | 0.224942 | + | 0.0383012i | ||||
\(736\) | −7.53724e15 | + | 7.44535e15i | −1.28642 | + | 1.27074i | ||||
\(737\) | − | 5.12061e15i | − | 0.867462i | ||||||
\(738\) | −3.25820e15 | − | 6.79936e15i | −0.547858 | − | 1.14329i | ||||
\(739\) | 8.24660e15i | 1.37636i | 0.725542 | + | 0.688178i | \(0.241589\pi\) | ||||
−0.725542 | + | 0.688178i | \(0.758411\pi\) | |||||||
\(740\) | −1.29958e15 | − | 3.18809e12i | −0.215292 | − | 0.000528148i | ||||
\(741\) | 6.11747e13 | + | 1.04163e13i | 0.0100594 | + | 0.00171283i | ||||
\(742\) | −9.66034e14 | + | 9.63667e14i | −0.157678 | + | 0.157292i | ||||
\(743\) | −2.64416e15 | −0.428399 | −0.214199 | − | 0.976790i | \(-0.568714\pi\) | ||||
−0.214199 | + | 0.976790i | \(0.568714\pi\) | |||||||
\(744\) | −2.92627e15 | − | 4.15965e15i | −0.470612 | − | 0.668968i | ||||
\(745\) | 8.90292e14 | 0.142126 | ||||||||
\(746\) | −2.27515e15 | + | 2.26958e15i | −0.360535 | + | 0.359652i | ||||
\(747\) | 5.22431e15 | + | 1.83222e15i | 0.821798 | + | 0.288213i | ||||
\(748\) | −8.86267e15 | − | 2.17417e13i | −1.38390 | − | 0.00339496i | ||||
\(749\) | 1.12016e15i | 0.173632i | ||||||||
\(750\) | −2.70032e15 | + | 1.90957e15i | −0.415506 | + | 0.293831i | ||||
\(751\) | 2.39438e15i | 0.365742i | 0.983137 | + | 0.182871i | \(0.0585390\pi\) | ||||
−0.983137 | + | 0.182871i | \(0.941461\pi\) | |||||||
\(752\) | −4.13379e15 | − | 2.02820e13i | −0.626831 | − | 0.00307547i | ||||
\(753\) | −4.68105e14 | + | 2.74917e15i | −0.0704646 | + | 0.413837i | ||||
\(754\) | 5.58371e15 | + | 5.59743e15i | 0.834412 | + | 0.836462i | ||||
\(755\) | −2.54930e15 | −0.378192 | ||||||||
\(756\) | −1.21179e15 | + | 2.17447e15i | −0.178466 | + | 0.320245i | ||||
\(757\) | −1.10647e16 | −1.61775 | −0.808875 | − | 0.587981i | \(-0.799923\pi\) | ||||
−0.808875 | + | 0.587981i | \(0.799923\pi\) | |||||||
\(758\) | −5.76652e15 | − | 5.78069e15i | −0.837015 | − | 0.839071i | ||||
\(759\) | 1.91575e15 | − | 1.12512e16i | 0.276064 | − | 1.62132i | ||||
\(760\) | 1.29865e13 | + | 1.30824e13i | 0.00185788 | + | 0.00187160i | ||||
\(761\) | − | 7.90096e15i | − | 1.12218i | −0.827753 | − | 0.561092i | \(-0.810381\pi\) | ||
0.827753 | − | 0.561092i | \(-0.189619\pi\) | |||||||
\(762\) | −4.64486e15 | + | 3.28468e15i | −0.654969 | + | 0.463170i | ||||
\(763\) | 1.76708e15i | 0.247384i | ||||||||
\(764\) | −3.40250e13 | + | 1.38698e16i | −0.00472917 | + | 1.92778i | ||||
\(765\) | 2.74281e15 | + | 9.61934e14i | 0.378493 | + | 0.132742i | ||||
\(766\) | 1.25136e14 | − | 1.24830e14i | 0.0171445 | − | 0.0171025i | ||||
\(767\) | 7.86807e15 | 1.07027 | ||||||||
\(768\) | 1.31442e15 | − | 7.28674e15i | 0.177521 | − | 0.984117i | ||||
\(769\) | −4.46095e15 | −0.598181 | −0.299091 | − | 0.954225i | \(-0.596683\pi\) | ||||
−0.299091 | + | 0.954225i | \(0.596683\pi\) | |||||||
\(770\) | −4.67426e14 | + | 4.66281e14i | −0.0622320 | + | 0.0620796i | ||||
\(771\) | 8.44133e15 | + | 1.43732e15i | 1.11587 | + | 0.190000i | ||||
\(772\) | 1.21106e13 | − | 4.93669e15i | 0.00158953 | − | 0.647948i | ||||
\(773\) | − | 7.87880e15i | − | 1.02677i | −0.858159 | − | 0.513385i | \(-0.828391\pi\) | ||
0.858159 | − | 0.513385i | \(-0.171609\pi\) | |||||||
\(774\) | −3.25562e15 | − | 6.79397e15i | −0.421268 | − | 0.879121i | ||||
\(775\) | − | 5.92368e15i | − | 0.761083i | ||||||
\(776\) | −2.95655e15 | − | 2.97838e15i | −0.377177 | − | 0.379963i | ||||
\(777\) | −2.33016e15 | − | 3.96760e14i | −0.295169 | − | 0.0502588i | ||||
\(778\) | 5.93740e15 | + | 5.95199e15i | 0.746808 | + | 0.748642i | ||||
\(779\) | −1.01548e14 | −0.0126829 | ||||||||
\(780\) | −3.69178e14 | + | 2.13648e15i | −0.0457841 | + | 0.264959i | ||||
\(781\) | 7.67771e15 | 0.945477 | ||||||||
\(782\) | 1.58901e16 | + | 1.59291e16i | 1.94307 | + | 1.94784i | ||||
\(783\) | −8.34405e15 | − | 4.62318e15i | −1.01318 | − | 0.561372i | ||||
\(784\) | −7.17872e15 | − | 3.52215e13i | −0.865582 | − | 0.00424688i | ||||
\(785\) | 1.01536e15i | 0.121573i | ||||||||
\(786\) | 2.33216e14 | + | 3.29791e14i | 0.0277290 | + | 0.0392116i | ||||
\(787\) | 9.38324e15i | 1.10788i | 0.832557 | + | 0.553939i | \(0.186876\pi\) | ||||
−0.832557 | + | 0.553939i | \(0.813124\pi\) | |||||||
\(788\) | 3.63811e15 | + | 8.92492e12i | 0.426561 | + | 0.00104643i | ||||
\(789\) | −1.70320e14 | + | 1.00028e15i | −0.0198308 | + | 0.116466i | ||||
\(790\) | 9.80603e14 | − | 9.78200e14i | 0.113382 | − | 0.113104i | ||||
\(791\) | −4.18985e14 | −0.0481092 | ||||||||
\(792\) | 3.42929e15 | + | 7.20168e15i | 0.391035 | + | 0.821193i | ||||
\(793\) | 1.00840e16 | 1.14191 | ||||||||
\(794\) | −6.49633e14 | + | 6.48041e14i | −0.0730559 | + | 0.0728769i | ||||
\(795\) | 2.40691e14 | − | 1.41358e15i | 0.0268808 | − | 0.157870i | ||||
\(796\) | 9.68376e15 | + | 2.37560e13i | 1.07404 | + | 0.00263482i | ||||
\(797\) | − | 5.92155e15i | − | 0.652251i | −0.945327 | − | 0.326125i | \(-0.894257\pi\) | ||
0.945327 | − | 0.326125i | \(-0.105743\pi\) | |||||||
\(798\) | 1.93581e13 | + | 2.73743e13i | 0.00211761 | + | 0.00299452i | ||||
\(799\) | 8.77905e15i | 0.953762i | ||||||||
\(800\) | 6.13547e15 | − | 6.06067e15i | 0.661992 | − | 0.653922i | ||||
\(801\) | −3.25558e15 | + | 9.28282e15i | −0.348859 | + | 0.994721i | ||||
\(802\) | 4.39251e15 | + | 4.40330e15i | 0.467470 | + | 0.468618i | ||||
\(803\) | −9.68814e15 | −1.02401 | ||||||||
\(804\) | 1.54697e15 | − | 8.95256e15i | 0.162396 | − | 0.939808i | ||||
\(805\) | 1.67611e15 | 0.174754 | ||||||||
\(806\) | −5.68998e15 | − | 5.70396e15i | −0.589207 | − | 0.590654i | ||||
\(807\) | 8.08741e15 | + | 1.37705e15i | 0.831773 | + | 0.141627i | ||||
\(808\) | 4.63557e15 | − | 4.60158e15i | 0.473523 | − | 0.470050i | ||||
\(809\) | − | 1.37849e16i | − | 1.39858i | −0.714837 | − | 0.699291i | \(-0.753499\pi\) | ||
0.714837 | − | 0.699291i | \(-0.246501\pi\) | |||||||
\(810\) | −2.86021e14 | − | 2.60027e15i | −0.0288224 | − | 0.262030i | ||||
\(811\) | − | 3.77518e15i | − | 0.377853i | −0.981991 | − | 0.188926i | \(-0.939499\pi\) | ||
0.981991 | − | 0.188926i | \(-0.0605008\pi\) | |||||||
\(812\) | −1.04790e13 | + | 4.27161e15i | −0.00104175 | + | 0.424653i | ||||
\(813\) | 9.03292e15 | + | 1.53805e15i | 0.891928 | + | 0.151870i | ||||
\(814\) | −5.36215e15 | + | 5.34901e15i | −0.525902 | + | 0.524614i | ||||
\(815\) | 2.48882e15 | 0.242452 | ||||||||
\(816\) | −1.54884e16 | − | 2.71549e15i | −1.49869 | − | 0.262756i | ||||
\(817\) | −1.01468e14 | −0.00975232 | ||||||||
\(818\) | 7.96182e15 | − | 7.94232e15i | 0.760098 | − | 0.758235i | ||||
\(819\) | −1.30508e15 | + | 3.72125e15i | −0.123759 | + | 0.352880i | ||||
\(820\) | 8.70385e12 | − | 3.54799e15i | 0.000819851 | − | 0.334200i | ||||
\(821\) | 8.31426e15i | 0.777922i | 0.921254 | + | 0.388961i | \(0.127166\pi\) | ||||
−0.921254 | + | 0.388961i | \(0.872834\pi\) | |||||||
\(822\) | −1.58448e16 | + | 1.12049e16i | −1.47262 | + | 1.04139i | ||||
\(823\) | − | 1.53630e16i | − | 1.41833i | −0.705042 | − | 0.709166i | \(-0.749072\pi\) | ||
0.705042 | − | 0.709166i | \(-0.250928\pi\) | |||||||
\(824\) | 5.63463e15 | − | 5.59332e15i | 0.516733 | − | 0.512944i | ||||
\(825\) | −1.55946e15 | + | 9.15870e15i | −0.142062 | + | 0.834329i | ||||
\(826\) | 3.00221e15 | + | 3.00959e15i | 0.271676 | + | 0.272343i | ||||
\(827\) | −1.57568e16 | −1.41640 | −0.708201 | − | 0.706011i | \(-0.750493\pi\) | ||||
−0.708201 | + | 0.706011i | \(0.750493\pi\) | |||||||
\(828\) | 6.74845e15 | − | 1.90921e16i | 0.602612 | − | 1.70485i | ||||
\(829\) | −4.80421e15 | −0.426159 | −0.213079 | − | 0.977035i | \(-0.568349\pi\) | ||||
−0.213079 | + | 0.977035i | \(0.568349\pi\) | |||||||
\(830\) | 1.83992e15 | + | 1.84444e15i | 0.162132 | + | 0.162531i | ||||
\(831\) | −8.27737e14 | + | 4.86128e15i | −0.0724581 | + | 0.425545i | ||||
\(832\) | 8.63234e13 | − | 1.17293e16i | 0.00750672 | − | 1.01998i | ||||
\(833\) | 1.52456e16i | 1.31704i | ||||||||
\(834\) | 3.45984e15 | − | 2.44667e15i | 0.296922 | − | 0.209972i | ||||
\(835\) | 5.10223e15i | 0.434995i | ||||||||
\(836\) | 1.07431e14 | + | 2.63547e11i | 0.00909901 | + | 2.23215e-5i | ||||
\(837\) | 8.50285e15 | + | 4.71117e15i | 0.715442 | + | 0.396404i | ||||
\(838\) | −4.64603e15 | + | 4.63464e15i | −0.388365 | + | 0.387413i | ||||
\(839\) | −1.39625e16 | −1.15950 | −0.579752 | − | 0.814793i | \(-0.696850\pi\) | ||||
−0.579752 | + | 0.814793i | \(0.696850\pi\) | |||||||
\(840\) | −9.58086e14 | + | 6.74004e14i | −0.0790439 | + | 0.0556066i | ||||
\(841\) | −4.16863e15 | −0.341676 | ||||||||
\(842\) | 2.01927e15 | − | 2.01432e15i | 0.164429 | − | 0.164026i | ||||
\(843\) | 4.14848e15 | + | 7.06368e14i | 0.335612 | + | 0.0571452i | ||||
\(844\) | −1.77959e16 | − | 4.36565e13i | −1.43033 | − | 0.00350885i | ||||
\(845\) | 1.33448e14i | 0.0106562i | ||||||||
\(846\) | 7.12535e15 | − | 3.41442e15i | 0.565287 | − | 0.270882i | ||||
\(847\) | − | 8.03429e14i | − | 0.0633270i | ||||||
\(848\) | −3.80606e13 | + | 7.75737e15i | −0.00298057 | + | 0.607488i | ||||
\(849\) | −1.95782e16 | − | 3.33361e15i | −1.52328 | − | 0.259371i | ||||
\(850\) | −1.29348e16 | − | 1.29666e16i | −0.999901 | − | 1.00236i | ||||
\(851\) | 1.92278e16 | 1.47679 | ||||||||
\(852\) | 1.34232e16 | + | 2.31949e15i | 1.02433 | + | 0.177001i | ||||
\(853\) | −3.75114e15 | −0.284409 | −0.142205 | − | 0.989837i | \(-0.545419\pi\) | ||||
−0.142205 | + | 0.989837i | \(0.545419\pi\) | |||||||
\(854\) | 3.84775e15 | + | 3.85720e15i | 0.289860 | + | 0.290572i | ||||
\(855\) | −3.32476e13 | − | 1.16603e13i | −0.00248855 | − | 0.000872761i | ||||
\(856\) | 4.48648e15 | + | 4.51962e15i | 0.333657 | + | 0.336122i | ||||
\(857\) | 1.49867e16i | 1.10742i | 0.832709 | + | 0.553710i | \(0.186789\pi\) | ||||
−0.832709 | + | 0.553710i | \(0.813211\pi\) | |||||||
\(858\) | 7.29576e15 | + | 1.03169e16i | 0.535662 | + | 0.757479i | ||||
\(859\) | − | 5.52120e15i | − | 0.402783i | −0.979511 | − | 0.201392i | \(-0.935454\pi\) | ||
0.979511 | − | 0.201392i | \(-0.0645464\pi\) | |||||||
\(860\) | 8.69695e12 | − | 3.54518e15i | 0.000630414 | − | 0.256979i | ||||
\(861\) | 1.08320e15 | − | 6.36161e15i | 0.0780173 | − | 0.458194i | ||||
\(862\) | 3.45375e15 | − | 3.44529e15i | 0.247173 | − | 0.246568i | ||||
\(863\) | −1.49995e16 | −1.06664 | −0.533320 | − | 0.845913i | \(-0.679056\pi\) | ||||
−0.533320 | + | 0.845913i | \(0.679056\pi\) | |||||||
\(864\) | 3.81989e15 | + | 1.36270e16i | 0.269914 | + | 0.962884i | ||||
\(865\) | −2.82682e15 | −0.198477 | ||||||||
\(866\) | −3.87569e15 | + | 3.86619e15i | −0.270396 | + | 0.269734i | ||||
\(867\) | −3.18419e15 | + | 1.87007e16i | −0.220746 | + | 1.29644i | ||||
\(868\) | 1.06785e13 | − | 4.35291e15i | 0.000735614 | − | 0.299862i | ||||
\(869\) | − | 8.07227e15i | − | 0.552569i | ||||||
\(870\) | −2.59182e15 | − | 3.66510e15i | −0.176299 | − | 0.249304i | ||||
\(871\) | − | 1.43924e16i | − | 0.972821i | ||||||
\(872\) | 7.07753e15 | + | 7.12981e15i | 0.475380 | + | 0.478892i | ||||
\(873\) | 7.56925e15 | + | 2.65462e15i | 0.505213 | + | 0.177184i | ||||
\(874\) | −1.92615e14 | − | 1.93088e14i | −0.0127755 | − | 0.0128068i | ||||
\(875\) | −2.83068e15 | −0.186572 | ||||||||
\(876\) | −1.69382e16 | − | 2.92686e15i | −1.10941 | − | 0.191703i | ||||
\(877\) | 5.40949e15 | 0.352094 | 0.176047 | − | 0.984382i | \(-0.443669\pi\) | ||||
0.176047 | + | 0.984382i | \(0.443669\pi\) | |||||||
\(878\) | 1.05464e15 | + | 1.05723e15i | 0.0682157 | + | 0.0683832i | ||||
\(879\) | 9.08481e15 | + | 1.54688e15i | 0.583952 | + | 0.0994303i | ||||
\(880\) | −1.84161e13 | + | 3.75349e15i | −0.00117636 | + | 0.239762i | ||||
\(881\) | − | 1.56262e16i | − | 0.991939i | −0.868340 | − | 0.495970i | \(-0.834813\pi\) | ||
0.868340 | − | 0.495970i | \(-0.165187\pi\) | |||||||
\(882\) | 1.23738e16 | − | 5.92945e15i | 0.780597 | − | 0.374057i | ||||
\(883\) | 1.67545e16i | 1.05038i | 0.850985 | + | 0.525191i | \(0.176006\pi\) | ||||
−0.850985 | + | 0.525191i | \(0.823994\pi\) | |||||||
\(884\) | −2.49101e16 | − | 6.11090e13i | −1.55199 | − | 0.00380730i | ||||
\(885\) | −4.40386e15 | − | 7.49851e14i | −0.272675 | − | 0.0464288i | ||||
\(886\) | 1.04060e16 | − | 1.03805e16i | 0.640323 | − | 0.638754i | ||||
\(887\) | −1.40157e14 | −0.00857104 | −0.00428552 | − | 0.999991i | \(-0.501364\pi\) | ||||
−0.00428552 | + | 0.999991i | \(0.501364\pi\) | |||||||
\(888\) | −1.09908e16 | + | 7.73195e15i | −0.667974 | + | 0.469913i | ||||
\(889\) | −4.86910e15 | −0.294096 | ||||||||
\(890\) | −3.27730e15 | + | 3.26927e15i | −0.196730 | + | 0.196248i | ||||
\(891\) | −1.19062e16 | − | 9.52248e15i | −0.710304 | − | 0.568097i | ||||
\(892\) | 2.56002e16 | + | 6.28018e13i | 1.51788 | + | 0.00372362i | ||||
\(893\) | − | 1.06417e14i | − | 0.00627088i | ||||||
\(894\) | 7.51638e15 | − | 5.31531e15i | 0.440203 | − | 0.311295i | ||||
\(895\) | − | 2.00748e15i | − | 0.116849i | ||||||
\(896\) | 4.51947e15 | − | 4.44252e15i | 0.261453 | − | 0.257001i | ||||
\(897\) | 5.38457e15 | − | 3.16235e16i | 0.309594 | − | 1.81824i | ||||
\(898\) | 3.08989e15 | + | 3.09748e15i | 0.176573 | + | 0.177006i | ||||
\(899\) | 1.66807e16 | 0.947404 | ||||||||
\(900\) | −5.49338e15 | + | 1.55414e16i | −0.310103 | + | 0.877316i | ||||
\(901\) | 1.64746e16 | 0.924331 | ||||||||
\(902\) | −1.46034e16 | − | 1.46393e16i | −0.814364 | − | 0.816364i | ||||
\(903\) | 1.08234e15 | − | 6.35657e15i | 0.0599904 | − | 0.352322i | ||||
\(904\) | −1.69052e15 | + | 1.67812e15i | −0.0931309 | + | 0.0924481i | ||||
\(905\) | − | 4.22616e15i | − | 0.231408i | ||||||
\(906\) | −2.15227e16 | + | 1.52201e16i | −1.17136 | + | 0.828347i | ||||
\(907\) | − | 2.50422e16i | − | 1.35467i | −0.735676 | − | 0.677334i | \(-0.763135\pi\) | ||
0.735676 | − | 0.677334i | \(-0.236865\pi\) | |||||||
\(908\) | 3.92603e12 | − | 1.60039e15i | 0.000211097 | − | 0.0860504i | ||||
\(909\) | −4.13166e15 | + | 1.17808e16i | −0.220812 | + | 0.629613i | ||||
\(910\) | −1.31378e15 | + | 1.31057e15i | −0.0697905 | + | 0.0696195i | ||||
\(911\) | 3.70211e16 | 1.95478 | 0.977390 | − | 0.211445i | \(-0.0678168\pi\) | ||||
0.977390 | + | 0.211445i | \(0.0678168\pi\) | |||||||
\(912\) | 1.87746e14 | + | 3.29164e13i | 0.00985368 | + | 0.00172759i | ||||
\(913\) | 1.51833e16 | 0.792095 | ||||||||
\(914\) | −8.22529e15 | + | 8.20514e15i | −0.426528 | + | 0.425483i | ||||
\(915\) | −5.64415e15 | − | 9.61038e14i | −0.290926 | − | 0.0495364i | ||||
\(916\) | −5.75936e13 | + | 2.34771e16i | −0.00295086 | + | 1.20287i | ||||
\(917\) | 3.45712e14i | 0.0176069i | ||||||||
\(918\) | 2.88995e16 | − | 8.25420e15i | 1.46304 | − | 0.417869i | ||||
\(919\) | 1.66848e16i | 0.839625i | 0.907611 | + | 0.419813i | \(0.137904\pi\) | ||||
−0.907611 | + | 0.419813i | \(0.862096\pi\) | |||||||
\(920\) | 6.76278e15 | − | 6.71319e15i | 0.338293 | − | 0.335812i | ||||
\(921\) | 1.11451e16 | + | 1.89769e15i | 0.554186 | + | 0.0943619i | ||||
\(922\) | −2.02288e16 | − | 2.02785e16i | −0.999884 | − | 1.00234i | ||||
\(923\) | 2.15796e16 | 1.06031 | ||||||||
\(924\) | −1.16246e15 | + | 6.72730e15i | −0.0567781 | + | 0.328583i | ||||
\(925\) | −1.56518e16 | −0.759952 | ||||||||
\(926\) | −6.01100e15 | − | 6.02576e15i | −0.290126 | − | 0.290838i | ||||
\(927\) | −5.02212e15 | + | 1.43198e16i | −0.240962 | + | 0.687067i | ||||
\(928\) | 1.70664e16 | + | 1.72771e16i | 0.814009 | + | 0.824055i | ||||
\(929\) | 1.97824e16i | 0.937977i | 0.883204 | + | 0.468989i | \(0.155381\pi\) | ||||
−0.883204 | + | 0.468989i | \(0.844619\pi\) | |||||||
\(930\) | 2.64115e15 | + | 3.73485e15i | 0.124491 | + | 0.176042i | ||||
\(931\) | − | 1.84803e14i | − | 0.00865937i | ||||||
\(932\) | −2.76702e16 | − | 6.78799e13i | −1.28892 | − | 0.00316194i | ||||
\(933\) | 2.43090e15 | − | 1.42766e16i | 0.112569 | − | 0.661115i | ||||
\(934\) | −1.18374e16 | + | 1.18084e16i | −0.544941 | + | 0.543606i | ||||
\(935\) | 7.97139e15 | 0.364813 | ||||||||
\(936\) | 9.63864e15 | + | 2.02416e16i | 0.438529 | + | 0.920932i | ||||
\(937\) | −7.46411e15 | −0.337606 | −0.168803 | − | 0.985650i | \(-0.553990\pi\) | ||||
−0.168803 | + | 0.985650i | \(0.553990\pi\) | |||||||
\(938\) | 5.50518e15 | − | 5.49169e15i | 0.247546 | − | 0.246940i | ||||
\(939\) | 6.64584e15 | − | 3.90309e16i | 0.297091 | − | 1.74481i | ||||
\(940\) | 3.71810e15 | + | 9.12115e12i | 0.165241 | + | 0.000405365i | ||||
\(941\) | 1.75071e14i | 0.00773518i | 0.999993 | + | 0.00386759i | \(0.00123110\pi\) | ||||
−0.999993 | + | 0.00386759i | \(0.998769\pi\) | |||||||
\(942\) | 6.06200e15 | + | 8.57227e15i | 0.266278 | + | 0.376544i | ||||
\(943\) | 5.24941e16i | 2.29243i | ||||||||
\(944\) | 2.41674e16 | + | 1.18574e14i | 1.04926 | + | 0.00514807i | ||||
\(945\) | 1.08512e15 | − | 1.95845e15i | 0.0468383 | − | 0.0845353i | ||||
\(946\) | −1.45919e16 | − | 1.46277e16i | −0.626195 | − | 0.627733i | ||||
\(947\) | −8.61225e15 | −0.367444 | −0.183722 | − | 0.982978i | \(-0.558815\pi\) | ||||
−0.183722 | + | 0.982978i | \(0.558815\pi\) | |||||||
\(948\) | 2.43869e15 | − | 1.41131e16i | 0.103445 | − | 0.598653i | ||||
\(949\) | −2.72303e16 | −1.14838 | ||||||||
\(950\) | 1.56792e14 | + | 1.57178e14i | 0.00657424 | + | 0.00659038i | ||||
\(951\) | −3.09921e16 | − | 5.27706e15i | −1.29199 | − | 0.219988i | ||||
\(952\) | −9.48157e15 | − | 9.55161e15i | −0.392986 | − | 0.395889i | ||||
\(953\) | − | 9.31560e15i | − | 0.383884i | −0.981406 | − | 0.191942i | \(-0.938521\pi\) | ||
0.981406 | − | 0.191942i | \(-0.0614785\pi\) | |||||||
\(954\) | −6.40741e15 | − | 1.33713e16i | −0.262523 | − | 0.547843i | ||||
\(955\) | − | 1.24750e16i | − | 0.508184i | ||||||
\(956\) | 3.07165e13 | − | 1.25211e16i | 0.00124409 | − | 0.507136i | ||||
\(957\) | −2.57903e16 | − | 4.39135e15i | −1.03858 | − | 0.176841i | ||||
\(958\) | −9.21684e15 | + | 9.19426e15i | −0.369039 | + | 0.368134i | ||||
\(959\) | −1.66097e16 | −0.661241 | ||||||||
\(960\) | −1.16615e15 | + | 6.55681e15i | −0.0461598 | + | 0.259538i | ||||
\(961\) | 8.41035e15 | 0.331006 | ||||||||
\(962\) | −1.50713e16 | + | 1.50344e16i | −0.589777 | + | 0.588331i | ||||
\(963\) | −1.14861e16 | − | 4.02831e15i | −0.446920 | − | 0.156740i | ||||
\(964\) | −3.22998e13 | + | 1.31665e16i | −0.00124961 | + | 0.509386i | ||||
\(965\) | 4.44023e15i | 0.170807i | ||||||||
\(966\) | 1.41508e16 | − | 1.00069e16i | 0.541260 | − | 0.382760i | ||||
\(967\) | − | 4.03279e16i | − | 1.53377i | −0.641785 | − | 0.766885i | \(-0.721806\pi\) | ||
0.641785 | − | 0.766885i | \(-0.278194\pi\) | |||||||
\(968\) | −3.21790e15 | − | 3.24167e15i | −0.121691 | − | 0.122590i | ||||
\(969\) | 6.79476e13 | − | 3.99055e14i | 0.00255501 | − | 0.0150055i | ||||
\(970\) | 2.66577e15 | + | 2.67232e15i | 0.0996733 | + | 0.0999181i | ||||
\(971\) | −3.67060e16 | −1.36468 | −0.682341 | − | 0.731034i | \(-0.739038\pi\) | ||||
−0.682341 | + | 0.731034i | \(0.739038\pi\) | |||||||
\(972\) | −1.79392e16 | − | 2.02455e16i | −0.663191 | − | 0.748450i | ||||
\(973\) | 3.62687e15 | 0.133325 | ||||||||
\(974\) | −8.01073e14 | − | 8.03041e14i | −0.0292818 | − | 0.0293537i | ||||
\(975\) | −4.38315e15 | + | 2.57422e16i | −0.159317 | + | 0.935664i | ||||
\(976\) | 3.09738e16 | + | 1.51969e14i | 1.11949 | + | 0.00549265i | ||||
\(977\) | 1.96544e16i | 0.706383i | 0.935551 | + | 0.353192i | \(0.114904\pi\) | ||||
−0.935551 | + | 0.353192i | \(0.885096\pi\) | |||||||
\(978\) | 2.10121e16 | − | 1.48590e16i | 0.750940 | − | 0.531038i | ||||
\(979\) | 2.69785e16i | 0.958767i | ||||||||
\(980\) | 6.45682e15 | + | 1.58397e13i | 0.228179 | + | 0.000559763i | ||||
\(981\) | −1.81197e16 | − | 6.35476e15i | −0.636753 | − | 0.223316i | ||||
\(982\) | −1.79729e16 | + | 1.79288e16i | −0.628064 | + | 0.626525i | ||||
\(983\) | 2.22734e16 | 0.774003 | 0.387002 | − | 0.922079i | \(-0.373511\pi\) | ||||
0.387002 | + | 0.922079i | \(0.373511\pi\) | |||||||
\(984\) | −2.11091e16 | − | 3.00062e16i | −0.729452 | − | 1.03690i | ||||
\(985\) | −3.27224e15 | −0.112446 | ||||||||
\(986\) | 3.65131e16 | − | 3.64236e16i | 1.24774 | − | 1.24469i | ||||
\(987\) | 6.66661e15 | + | 1.13513e15i | 0.226548 | + | 0.0385747i | ||||
\(988\) | 3.01953e14 | + | 7.40745e11i | 0.0102041 | + | 2.50326e-5i | ||||
\(989\) | 5.24526e16i | 1.76274i | ||||||||
\(990\) | −3.10030e15 | − | 6.46983e15i | −0.103612 | − | 0.216222i | ||||
\(991\) | 5.30529e16i | 1.76321i | 0.471988 | + | 0.881605i | \(0.343537\pi\) | ||||
−0.471988 | + | 0.881605i | \(0.656463\pi\) | |||||||
\(992\) | −1.73912e16 | − | 1.76059e16i | −0.574799 | − | 0.581893i | ||||
\(993\) | 4.03297e16 | + | 6.86700e15i | 1.32558 | + | 0.225707i | ||||
\(994\) | 8.23411e15 | + | 8.25433e15i | 0.269148 | + | 0.269809i | ||||
\(995\) | −8.70990e15 | −0.283130 | ||||||||
\(996\) | 2.65456e16 | + | 4.58699e15i | 0.858156 | + | 0.148286i | ||||
\(997\) | 4.29174e16 | 1.37978 | 0.689891 | − | 0.723913i | \(-0.257658\pi\) | ||||
0.689891 | + | 0.723913i | \(0.257658\pi\) | |||||||
\(998\) | −1.54319e15 | − | 1.54698e15i | −0.0493404 | − | 0.0494616i | ||||
\(999\) | 1.24481e16 | − | 2.24667e16i | 0.395815 | − | 0.714379i |
(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 | 12.12.b.a.11.6 | yes | 20 | |
3.2 | odd | 2 | inner | 12.12.b.a.11.15 | yes | 20 | |
4.3 | odd | 2 | inner | 12.12.b.a.11.16 | yes | 20 | |
8.3 | odd | 2 | 192.12.c.d.191.11 | 20 | |||
8.5 | even | 2 | 192.12.c.d.191.10 | 20 | |||
12.11 | even | 2 | inner | 12.12.b.a.11.5 | ✓ | 20 | |
24.5 | odd | 2 | 192.12.c.d.191.12 | 20 | |||
24.11 | even | 2 | 192.12.c.d.191.9 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.12.b.a.11.5 | ✓ | 20 | 12.11 | even | 2 | inner | |
12.12.b.a.11.6 | yes | 20 | 1.1 | even | 1 | trivial | |
12.12.b.a.11.15 | yes | 20 | 3.2 | odd | 2 | inner | |
12.12.b.a.11.16 | yes | 20 | 4.3 | odd | 2 | inner | |
192.12.c.d.191.9 | 20 | 24.11 | even | 2 | |||
192.12.c.d.191.10 | 20 | 8.5 | even | 2 | |||
192.12.c.d.191.11 | 20 | 8.3 | odd | 2 | |||
192.12.c.d.191.12 | 20 | 24.5 | odd | 2 |