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 | 5.8 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.12.e.a.13.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −26.9679 | + | 36.3419i | −0.595912 | + | 0.803050i | ||||
\(3\) | −199.508 | + | 199.508i | −0.474017 | + | 0.474017i | −0.903212 | − | 0.429195i | \(-0.858797\pi\) |
0.429195 | + | 0.903212i | \(0.358797\pi\) | |||||||
\(4\) | −593.467 | − | 1960.13i | −0.289779 | − | 0.957094i | ||||
\(5\) | 8937.54 | + | 8937.54i | 1.27904 | + | 1.27904i | 0.941207 | + | 0.337830i | \(0.109693\pi\) |
0.337830 | + | 0.941207i | \(0.390307\pi\) | |||||||
\(6\) | −1870.19 | − | 12630.8i | −0.0981871 | − | 0.663131i | ||||
\(7\) | 55653.3i | 1.25156i | 0.780000 | + | 0.625780i | \(0.215219\pi\) | ||||
−0.780000 | + | 0.625780i | \(0.784781\pi\) | |||||||
\(8\) | 87239.3 | + | 31292.8i | 0.941277 | + | 0.337636i | ||||
\(9\) | 97540.0i | 0.550616i | ||||||||
\(10\) | −565834. | + | 83780.7i | −1.78932 | + | 0.264938i | ||||
\(11\) | −146129. | − | 146129.i | −0.273575 | − | 0.273575i | 0.556963 | − | 0.830538i | \(-0.311967\pi\) |
−0.830538 | + | 0.556963i | \(0.811967\pi\) | |||||||
\(12\) | 509463. | + | 272660.i | 0.591039 | + | 0.316319i | ||||
\(13\) | 1.33136e6 | − | 1.33136e6i | 0.994502 | − | 0.994502i | −0.00548268 | − | 0.999985i | \(-0.501745\pi\) |
0.999985 | + | 0.00548268i | \(0.00174520\pi\) | |||||||
\(14\) | −2.02255e6 | − | 1.50085e6i | −1.00507 | − | 0.745819i | ||||
\(15\) | −3.56623e6 | −1.21257 | ||||||||
\(16\) | −3.48990e6 | + | 2.32654e6i | −0.832057 | + | 0.554691i | ||||
\(17\) | −2.92311e6 | −0.499317 | −0.249659 | − | 0.968334i | \(-0.580318\pi\) | ||||
−0.249659 | + | 0.968334i | \(0.580318\pi\) | |||||||
\(18\) | −3.54479e6 | − | 2.63045e6i | −0.442172 | − | 0.328119i | ||||
\(19\) | −1.11550e7 | + | 1.11550e7i | −1.03354 | + | 1.03354i | −0.0341197 | + | 0.999418i | \(0.510863\pi\) |
−0.999418 | + | 0.0341197i | \(0.989137\pi\) | |||||||
\(20\) | 1.22146e7 | − | 2.28229e7i | 0.853521 | − | 1.59480i | ||||
\(21\) | −1.11033e7 | − | 1.11033e7i | −0.593261 | − | 0.593261i | ||||
\(22\) | 9.25139e6 | − | 1.36981e6i | 0.382721 | − | 0.0566679i | ||||
\(23\) | − | 2.12560e7i | − | 0.688619i | −0.938856 | − | 0.344309i | \(-0.888113\pi\) | ||
0.938856 | − | 0.344309i | \(-0.111887\pi\) | |||||||
\(24\) | −2.36481e7 | + | 1.11618e7i | −0.606226 | + | 0.286136i | ||||
\(25\) | 1.10931e8i | 2.27187i | ||||||||
\(26\) | 1.24802e7 | + | 8.42879e7i | 0.206000 | + | 1.39127i | ||||
\(27\) | −5.48023e7 | − | 5.48023e7i | −0.735018 | − | 0.735018i | ||||
\(28\) | 1.09088e8 | − | 3.30284e7i | 1.19786 | − | 0.362676i | ||||
\(29\) | −1.31742e7 | + | 1.31742e7i | −0.119271 | + | 0.119271i | −0.764223 | − | 0.644952i | \(-0.776877\pi\) |
0.644952 | + | 0.764223i | \(0.276877\pi\) | |||||||
\(30\) | 9.61736e7 | − | 1.29603e8i | 0.722585 | − | 0.973755i | ||||
\(31\) | 1.84262e8 | 1.15597 | 0.577986 | − | 0.816047i | \(-0.303839\pi\) | ||||
0.577986 | + | 0.816047i | \(0.303839\pi\) | |||||||
\(32\) | 9.56423e6 | − | 1.89571e8i | 0.0503878 | − | 0.998730i | ||||
\(33\) | 5.83078e7 | 0.259358 | ||||||||
\(34\) | 7.88301e7 | − | 1.06231e8i | 0.297549 | − | 0.400977i | ||||
\(35\) | −4.97404e8 | + | 4.97404e8i | −1.60079 | + | 1.60079i | ||||
\(36\) | 1.91191e8 | − | 5.78867e7i | 0.526991 | − | 0.159557i | ||||
\(37\) | 6.58484e7 | + | 6.58484e7i | 0.156112 | + | 0.156112i | 0.780841 | − | 0.624729i | \(-0.214791\pi\) |
−0.624729 | + | 0.780841i | \(0.714791\pi\) | |||||||
\(38\) | −1.04567e8 | − | 7.06223e8i | −0.214085 | − | 1.44588i | ||||
\(39\) | 5.31233e8i | 0.942822i | ||||||||
\(40\) | 5.00025e8 | + | 1.05939e9i | 0.772078 | + | 1.63578i | ||||
\(41\) | − | 7.48317e8i | − | 1.00873i | −0.863491 | − | 0.504364i | \(-0.831727\pi\) | ||
0.863491 | − | 0.504364i | \(-0.168273\pi\) | |||||||
\(42\) | 7.02947e8 | − | 1.04082e8i | 0.829949 | − | 0.122887i | ||||
\(43\) | −3.10180e8 | − | 3.10180e8i | −0.321764 | − | 0.321764i | 0.527680 | − | 0.849443i | \(-0.323062\pi\) |
−0.849443 | + | 0.527680i | \(0.823062\pi\) | |||||||
\(44\) | −1.99709e8 | + | 3.73154e8i | −0.182561 | + | 0.341113i | ||||
\(45\) | −8.71768e8 | + | 8.71768e8i | −0.704258 | + | 0.704258i | ||||
\(46\) | 7.72484e8 | + | 5.73230e8i | 0.552995 | + | 0.410356i | ||||
\(47\) | −1.85656e9 | −1.18078 | −0.590392 | − | 0.807117i | \(-0.701027\pi\) | ||||
−0.590392 | + | 0.807117i | \(0.701027\pi\) | |||||||
\(48\) | 2.32099e8 | − | 1.16043e9i | 0.131476 | − | 0.657342i | ||||
\(49\) | −1.11996e9 | −0.566403 | ||||||||
\(50\) | −4.03145e9 | − | 2.99158e9i | −1.82443 | − | 1.35384i | ||||
\(51\) | 5.83185e8 | − | 5.83185e8i | 0.236685 | − | 0.236685i | ||||
\(52\) | −3.39974e9 | − | 1.81951e9i | −1.24002 | − | 0.663646i | ||||
\(53\) | 3.45179e9 | + | 3.45179e9i | 1.13378 | + | 1.13378i | 0.989544 | + | 0.144232i | \(0.0460710\pi\) |
0.144232 | + | 0.989544i | \(0.453929\pi\) | |||||||
\(54\) | 3.46952e9 | − | 5.13718e8i | 1.02826 | − | 0.152251i | ||||
\(55\) | − | 2.61207e9i | − | 0.699825i | ||||||
\(56\) | −1.74155e9 | + | 4.85516e9i | −0.422572 | + | 1.17806i | ||||
\(57\) | − | 4.45104e9i | − | 0.979828i | ||||||
\(58\) | −1.23495e8 | − | 8.34058e8i | −0.0247057 | − | 0.166856i | ||||
\(59\) | 8.57741e8 | + | 8.57741e8i | 0.156196 | + | 0.156196i | 0.780879 | − | 0.624683i | \(-0.214772\pi\) |
−0.624683 | + | 0.780879i | \(0.714772\pi\) | |||||||
\(60\) | 2.11644e9 | + | 6.99026e9i | 0.351377 | + | 1.16054i | ||||
\(61\) | 6.80487e9 | − | 6.80487e9i | 1.03159 | − | 1.03159i | 0.0321015 | − | 0.999485i | \(-0.489780\pi\) |
0.999485 | − | 0.0321015i | \(-0.0102200\pi\) | |||||||
\(62\) | −4.96916e9 | + | 6.69644e9i | −0.688857 | + | 0.928303i | ||||
\(63\) | −5.42842e9 | −0.689129 | ||||||||
\(64\) | 6.63146e9 | + | 5.45992e9i | 0.772003 | + | 0.635619i | ||||
\(65\) | 2.37981e10 | 2.54401 | ||||||||
\(66\) | −1.57244e9 | + | 2.11902e9i | −0.154555 | + | 0.208278i | ||||
\(67\) | −5.85461e9 | + | 5.85461e9i | −0.529769 | + | 0.529769i | −0.920503 | − | 0.390735i | \(-0.872221\pi\) |
0.390735 | + | 0.920503i | \(0.372221\pi\) | |||||||
\(68\) | 1.73477e9 | + | 5.72967e9i | 0.144691 | + | 0.477893i | ||||
\(69\) | 4.24075e9 | + | 4.24075e9i | 0.326417 | + | 0.326417i | ||||
\(70\) | −4.66267e9 | − | 3.14905e10i | −0.331586 | − | 2.23945i | ||||
\(71\) | − | 1.15906e8i | − | 0.00762402i | −0.999993 | − | 0.00381201i | \(-0.998787\pi\) | ||
0.999993 | − | 0.00381201i | \(-0.00121340\pi\) | |||||||
\(72\) | −3.05230e9 | + | 8.50932e9i | −0.185908 | + | 0.518282i | ||||
\(73\) | 1.23316e9i | 0.0696213i | 0.999394 | + | 0.0348106i | \(0.0110828\pi\) | ||||
−0.999394 | + | 0.0348106i | \(0.988917\pi\) | |||||||
\(74\) | −4.16885e9 | + | 6.17264e8i | −0.218394 | + | 0.0323368i | ||||
\(75\) | −2.21317e10 | − | 2.21317e10i | −1.07691 | − | 1.07691i | ||||
\(76\) | 2.84854e10 | + | 1.52452e10i | 1.28869 | + | 0.689695i | ||||
\(77\) | 8.13256e9 | − | 8.13256e9i | 0.342396 | − | 0.342396i | ||||
\(78\) | −1.93060e10 | − | 1.43262e10i | −0.757133 | − | 0.561838i | ||||
\(79\) | −1.66808e9 | −0.0609914 | −0.0304957 | − | 0.999535i | \(-0.509709\pi\) | ||||
−0.0304957 | + | 0.999535i | \(0.509709\pi\) | |||||||
\(80\) | −5.19847e10 | − | 1.03976e10i | −1.77370 | − | 0.354761i | ||||
\(81\) | 4.58810e9 | 0.146206 | ||||||||
\(82\) | 2.71953e10 | + | 2.01805e10i | 0.810059 | + | 0.601113i | ||||
\(83\) | −1.21868e10 | + | 1.21868e10i | −0.339593 | + | 0.339593i | −0.856214 | − | 0.516621i | \(-0.827190\pi\) |
0.516621 | + | 0.856214i | \(0.327190\pi\) | |||||||
\(84\) | −1.51744e10 | + | 2.83533e10i | −0.395892 | + | 0.739720i | ||||
\(85\) | −2.61254e10 | − | 2.61254e10i | −0.638645 | − | 0.638645i | ||||
\(86\) | 1.96374e10 | − | 2.90763e9i | 0.450135 | − | 0.0666497i | ||||
\(87\) | − | 5.25674e9i | − | 0.113073i | ||||||
\(88\) | −8.17540e9 | − | 1.73210e10i | −0.165141 | − | 0.349879i | ||||
\(89\) | 3.35444e10i | 0.636759i | 0.947963 | + | 0.318379i | \(0.103139\pi\) | ||||
−0.947963 | + | 0.318379i | \(0.896861\pi\) | |||||||
\(90\) | −8.17197e9 | − | 5.51914e10i | −0.145879 | − | 0.985231i | ||||
\(91\) | 7.40944e10 | + | 7.40944e10i | 1.24468 | + | 1.24468i | ||||
\(92\) | −4.16645e10 | + | 1.26147e10i | −0.659073 | + | 0.199547i | ||||
\(93\) | −3.67618e10 | + | 3.67618e10i | −0.547950 | + | 0.547950i | ||||
\(94\) | 5.00674e10 | − | 6.74708e10i | 0.703643 | − | 0.948228i | ||||
\(95\) | −1.99397e11 | −2.64387 | ||||||||
\(96\) | 3.59129e10 | + | 3.97292e10i | 0.449530 | + | 0.497299i | ||||
\(97\) | 2.49231e10 | 0.294685 | 0.147342 | − | 0.989086i | \(-0.452928\pi\) | ||||
0.147342 | + | 0.989086i | \(0.452928\pi\) | |||||||
\(98\) | 3.02030e10 | − | 4.07016e10i | 0.337526 | − | 0.454850i | ||||
\(99\) | 1.42534e10 | − | 1.42534e10i | 0.150635 | − | 0.150635i | ||||
\(100\) | 2.17440e11 | − | 6.58340e10i | 2.17440 | − | 0.658340i | ||||
\(101\) | 7.39401e10 | + | 7.39401e10i | 0.700023 | + | 0.700023i | 0.964415 | − | 0.264392i | \(-0.0851713\pi\) |
−0.264392 | + | 0.964415i | \(0.585171\pi\) | |||||||
\(102\) | 5.46678e9 | + | 3.69213e10i | 0.0490265 | + | 0.331113i | ||||
\(103\) | 1.55937e10i | 0.132539i | 0.997802 | + | 0.0662694i | \(0.0211097\pi\) | ||||
−0.997802 | + | 0.0662694i | \(0.978890\pi\) | |||||||
\(104\) | 1.57808e11 | − | 7.44847e10i | 1.27188 | − | 0.600322i | ||||
\(105\) | − | 1.98472e11i | − | 1.51760i | ||||||
\(106\) | −2.18532e11 | + | 3.23571e10i | −1.58611 | + | 0.234848i | ||||
\(107\) | 6.52098e10 | + | 6.52098e10i | 0.449471 | + | 0.449471i | 0.895179 | − | 0.445707i | \(-0.147048\pi\) |
−0.445707 | + | 0.895179i | \(0.647048\pi\) | |||||||
\(108\) | −7.48962e10 | + | 1.39943e11i | −0.490489 | + | 0.916474i | ||||
\(109\) | −1.02657e11 | + | 1.02657e11i | −0.639061 | + | 0.639061i | −0.950324 | − | 0.311263i | \(-0.899248\pi\) |
0.311263 | + | 0.950324i | \(0.399248\pi\) | |||||||
\(110\) | 9.49275e10 | + | 7.04419e10i | 0.561995 | + | 0.417034i | ||||
\(111\) | −2.62746e10 | −0.147999 | ||||||||
\(112\) | −1.29480e11 | − | 1.94224e11i | −0.694229 | − | 1.04137i | ||||
\(113\) | −2.05501e10 | −0.104926 | −0.0524630 | − | 0.998623i | \(-0.516707\pi\) | ||||
−0.0524630 | + | 0.998623i | \(0.516707\pi\) | |||||||
\(114\) | 1.61759e11 | + | 1.20035e11i | 0.786851 | + | 0.583891i | ||||
\(115\) | 1.89977e11 | − | 1.89977e11i | 0.880769 | − | 0.880769i | ||||
\(116\) | 3.36417e10 | + | 1.80047e10i | 0.148716 | + | 0.0795916i | ||||
\(117\) | 1.29860e11 | + | 1.29860e11i | 0.547589 | + | 0.547589i | ||||
\(118\) | −5.43034e10 | + | 8.04048e9i | −0.218512 | + | 0.0323542i | ||||
\(119\) | − | 1.62681e11i | − | 0.624925i | ||||||
\(120\) | −3.11115e11 | − | 1.11597e11i | −1.14136 | − | 0.409408i | ||||
\(121\) | − | 2.42604e11i | − | 0.850313i | ||||||
\(122\) | 6.37889e10 | + | 4.30815e11i | 0.213681 | + | 1.44315i | ||||
\(123\) | 1.49295e11 | + | 1.49295e11i | 0.478154 | + | 0.478154i | ||||
\(124\) | −1.09354e11 | − | 3.61178e11i | −0.334976 | − | 1.10637i | ||||
\(125\) | −5.55050e11 | + | 5.55050e11i | −1.62677 | + | 1.62677i | ||||
\(126\) | 1.46393e11 | − | 1.97279e11i | 0.410660 | − | 0.553405i | ||||
\(127\) | 6.09498e11 | 1.63701 | 0.818506 | − | 0.574498i | \(-0.194803\pi\) | ||||
0.818506 | + | 0.574498i | \(0.194803\pi\) | |||||||
\(128\) | −3.77260e11 | + | 9.37572e10i | −0.970479 | + | 0.241185i | ||||
\(129\) | 1.23767e11 | 0.305043 | ||||||||
\(130\) | −6.41785e11 | + | 8.64868e11i | −1.51601 | + | 2.04297i | ||||
\(131\) | −9.65459e10 | + | 9.65459e10i | −0.218646 | + | 0.218646i | −0.807928 | − | 0.589282i | \(-0.799411\pi\) |
0.589282 | + | 0.807928i | \(0.299411\pi\) | |||||||
\(132\) | −3.46038e10 | − | 1.14291e11i | −0.0751565 | − | 0.248230i | ||||
\(133\) | −6.20815e11 | − | 6.20815e11i | −1.29353 | − | 1.29353i | ||||
\(134\) | −5.48812e10 | − | 3.70654e11i | −0.109735 | − | 0.741126i | ||||
\(135\) | − | 9.79596e11i | − | 1.88023i | ||||||
\(136\) | −2.55010e11 | − | 9.14723e10i | −0.469995 | − | 0.168588i | ||||
\(137\) | − | 4.17036e11i | − | 0.738262i | −0.929377 | − | 0.369131i | \(-0.879655\pi\) | ||
0.929377 | − | 0.369131i | \(-0.120345\pi\) | |||||||
\(138\) | −2.68481e11 | + | 3.97529e10i | −0.456645 | + | 0.0676135i | ||||
\(139\) | 4.11704e11 | + | 4.11704e11i | 0.672982 | + | 0.672982i | 0.958403 | − | 0.285420i | \(-0.0921331\pi\) |
−0.285420 | + | 0.958403i | \(0.592133\pi\) | |||||||
\(140\) | 1.27017e12 | + | 6.79783e11i | 1.99598 | + | 1.06823i | ||||
\(141\) | 3.70399e11 | − | 3.70399e11i | 0.559711 | − | 0.559711i | ||||
\(142\) | 4.21224e9 | + | 3.12573e9i | 0.00612247 | + | 0.00454324i | ||||
\(143\) | −3.89099e11 | −0.544142 | ||||||||
\(144\) | −2.26931e11 | − | 3.40405e11i | −0.305422 | − | 0.458144i | ||||
\(145\) | −2.35491e11 | −0.305105 | ||||||||
\(146\) | −4.48152e10 | − | 3.32556e10i | −0.0559094 | − | 0.0414881i | ||||
\(147\) | 2.23442e11 | − | 2.23442e11i | 0.268484 | − | 0.268484i | ||||
\(148\) | 8.99924e10 | − | 1.68150e11i | 0.104176 | − | 0.194651i | ||||
\(149\) | 5.89614e11 | + | 5.89614e11i | 0.657724 | + | 0.657724i | 0.954841 | − | 0.297117i | \(-0.0960253\pi\) |
−0.297117 | + | 0.954841i | \(0.596025\pi\) | |||||||
\(150\) | 1.40115e12 | − | 2.07463e11i | 1.50655 | − | 0.223069i | ||||
\(151\) | 1.16918e12i | 1.21201i | 0.795459 | + | 0.606007i | \(0.207230\pi\) | ||||
−0.795459 | + | 0.606007i | \(0.792770\pi\) | |||||||
\(152\) | −1.32223e12 | + | 6.24086e11i | −1.32180 | + | 0.623885i | ||||
\(153\) | − | 2.85120e11i | − | 0.274932i | ||||||
\(154\) | 7.62347e10 | + | 5.14870e11i | 0.0709233 | + | 0.478998i | ||||
\(155\) | 1.64685e12 | + | 1.64685e12i | 1.47853 | + | 1.47853i | ||||
\(156\) | 1.04128e12 | − | 3.15269e11i | 0.902369 | − | 0.273210i | ||||
\(157\) | −1.50102e12 | + | 1.50102e12i | −1.25585 | + | 1.25585i | −0.302791 | + | 0.953057i | \(0.597919\pi\) |
−0.953057 | + | 0.302791i | \(0.902081\pi\) | |||||||
\(158\) | 4.49846e10 | − | 6.06212e10i | 0.0363455 | − | 0.0489791i | ||||
\(159\) | −1.37732e12 | −1.07486 | ||||||||
\(160\) | 1.77978e12 | − | 1.60882e12i | 1.34186 | − | 1.21296i | ||||
\(161\) | 1.18297e12 | 0.861848 | ||||||||
\(162\) | −1.23731e11 | + | 1.66740e11i | −0.0871258 | + | 0.117411i | ||||
\(163\) | 1.05489e12 | − | 1.05489e12i | 0.718085 | − | 0.718085i | −0.250128 | − | 0.968213i | \(-0.580473\pi\) |
0.968213 | + | 0.250128i | \(0.0804727\pi\) | |||||||
\(164\) | −1.46680e12 | + | 4.44101e11i | −0.965448 | + | 0.292308i | ||||
\(165\) | 5.21129e11 | + | 5.21129e11i | 0.331729 | + | 0.331729i | ||||
\(166\) | −1.14239e11 | − | 7.71540e11i | −0.0703427 | − | 0.475077i | ||||
\(167\) | − | 2.19763e12i | − | 1.30923i | −0.755965 | − | 0.654613i | \(-0.772832\pi\) | ||
0.755965 | − | 0.654613i | \(-0.227168\pi\) | |||||||
\(168\) | −6.21190e11 | − | 1.31610e12i | −0.358116 | − | 0.758729i | ||||
\(169\) | − | 1.75286e12i | − | 0.978070i | ||||||
\(170\) | 1.65400e12 | − | 2.44900e11i | 0.893440 | − | 0.132288i | ||||
\(171\) | −1.08806e12 | − | 1.08806e12i | −0.569082 | − | 0.569082i | ||||
\(172\) | −4.23911e11 | + | 7.92074e11i | −0.214718 | + | 0.401198i | ||||
\(173\) | −2.08631e12 | + | 2.08631e12i | −1.02359 | + | 1.02359i | −0.0238746 | + | 0.999715i | \(0.507600\pi\) |
−0.999715 | + | 0.0238746i | \(0.992400\pi\) | |||||||
\(174\) | 1.91040e11 | + | 1.41763e11i | 0.0908036 | + | 0.0673817i | ||||
\(175\) | −6.17369e12 | −2.84339 | ||||||||
\(176\) | 8.49950e11 | + | 1.70000e11i | 0.379379 | + | 0.0758804i | ||||
\(177\) | −3.42253e11 | −0.148079 | ||||||||
\(178\) | −1.21907e12 | − | 9.04621e11i | −0.511349 | − | 0.379452i | ||||
\(179\) | −7.81494e11 | + | 7.81494e11i | −0.317859 | + | 0.317859i | −0.847944 | − | 0.530086i | \(-0.822160\pi\) |
0.530086 | + | 0.847944i | \(0.322160\pi\) | |||||||
\(180\) | 2.22614e12 | + | 1.19141e12i | 0.878120 | + | 0.469962i | ||||
\(181\) | 1.08737e12 | + | 1.08737e12i | 0.416052 | + | 0.416052i | 0.883840 | − | 0.467789i | \(-0.154949\pi\) |
−0.467789 | + | 0.883840i | \(0.654949\pi\) | |||||||
\(182\) | −4.69090e12 | + | 6.94562e11i | −1.74126 | + | 0.257821i | ||||
\(183\) | 2.71525e12i | 0.977978i | ||||||||
\(184\) | 6.65160e11 | − | 1.85436e12i | 0.232503 | − | 0.648181i | ||||
\(185\) | 1.17705e12i | 0.399346i | ||||||||
\(186\) | −3.44606e11 | − | 2.32738e12i | −0.113502 | − | 0.766561i | ||||
\(187\) | 4.27151e11 | + | 4.27151e11i | 0.136601 | + | 0.136601i | ||||
\(188\) | 1.10181e12 | + | 3.63909e12i | 0.342166 | + | 1.13012i | ||||
\(189\) | 3.04993e12 | − | 3.04993e12i | 0.919919 | − | 0.919919i | ||||
\(190\) | 5.37732e12 | − | 7.24648e12i | 1.57551 | − | 2.12316i | ||||
\(191\) | 2.35610e12 | 0.670672 | 0.335336 | − | 0.942099i | \(-0.391150\pi\) | ||||
0.335336 | + | 0.942099i | \(0.391150\pi\) | |||||||
\(192\) | −2.41233e12 | + | 2.33731e11i | −0.667236 | + | 0.0646487i | ||||
\(193\) | 5.05945e12 | 1.36000 | 0.679999 | − | 0.733213i | \(-0.261980\pi\) | ||||
0.679999 | + | 0.733213i | \(0.261980\pi\) | |||||||
\(194\) | −6.72124e11 | + | 9.05754e11i | −0.175606 | + | 0.236647i | ||||
\(195\) | −4.74792e12 | + | 4.74792e12i | −1.20590 | + | 1.20590i | ||||
\(196\) | 6.64661e11 | + | 2.19527e12i | 0.164131 | + | 0.542101i | ||||
\(197\) | −2.28419e12 | − | 2.28419e12i | −0.548490 | − | 0.548490i | 0.377514 | − | 0.926004i | \(-0.376779\pi\) |
−0.926004 | + | 0.377514i | \(0.876779\pi\) | |||||||
\(198\) | 1.33612e11 | + | 9.02380e11i | 0.0312023 | + | 0.210732i | ||||
\(199\) | − | 1.32865e12i | − | 0.301799i | −0.988549 | − | 0.150899i | \(-0.951783\pi\) | ||
0.988549 | − | 0.150899i | \(-0.0482170\pi\) | |||||||
\(200\) | −3.47135e12 | + | 9.67757e12i | −0.767067 | + | 2.13846i | ||||
\(201\) | − | 2.33608e12i | − | 0.502239i | ||||||
\(202\) | −4.68113e12 | + | 6.93116e11i | −0.979306 | + | 0.145002i | ||||
\(203\) | −7.33190e11 | − | 7.33190e11i | −0.149275 | − | 0.149275i | ||||
\(204\) | −1.48922e12 | − | 7.97016e11i | −0.295116 | − | 0.157943i | ||||
\(205\) | 6.68812e12 | − | 6.68812e12i | 1.29020 | − | 1.29020i | ||||
\(206\) | −5.66703e11 | − | 4.20528e11i | −0.106435 | − | 0.0789814i | ||||
\(207\) | 2.07331e12 | 0.379165 | ||||||||
\(208\) | −1.54884e12 | + | 7.74375e12i | −0.275841 | + | 1.37912i | ||||
\(209\) | 3.26015e12 | 0.565500 | ||||||||
\(210\) | 7.21286e12 | + | 5.35238e12i | 1.21871 | + | 0.904358i | ||||
\(211\) | 7.82026e12 | − | 7.82026e12i | 1.28726 | − | 1.28726i | 0.350823 | − | 0.936442i | \(-0.385902\pi\) |
0.936442 | − | 0.350823i | \(-0.114098\pi\) | |||||||
\(212\) | 4.71743e12 | − | 8.81447e12i | 0.756585 | − | 1.41367i | ||||
\(213\) | 2.31242e10 | + | 2.31242e10i | 0.00361392 | + | 0.00361392i | ||||
\(214\) | −4.12842e12 | + | 6.11278e11i | −0.628793 | + | 0.0931028i | ||||
\(215\) | − | 5.54449e12i | − | 0.823096i | ||||||
\(216\) | −3.06600e12 | − | 6.49583e12i | −0.443686 | − | 0.940024i | ||||
\(217\) | 1.02548e13i | 1.44677i | ||||||||
\(218\) | −9.62307e11 | − | 6.49919e12i | −0.132374 | − | 0.894022i | ||||
\(219\) | −2.46025e11 | − | 2.46025e11i | −0.0330017 | − | 0.0330017i | ||||
\(220\) | −5.11999e12 | + | 1.55018e12i | −0.669798 | + | 0.202794i | ||||
\(221\) | −3.89170e12 | + | 3.89170e12i | −0.496572 | + | 0.496572i | ||||
\(222\) | 7.08570e11 | − | 9.54868e11i | 0.0881945 | − | 0.118851i | ||||
\(223\) | 1.45466e13 | 1.76638 | 0.883190 | − | 0.469015i | \(-0.155391\pi\) | ||||
0.883190 | + | 0.469015i | \(0.155391\pi\) | |||||||
\(224\) | 1.05503e13 | + | 5.32281e11i | 1.24997 | + | 0.0630633i | ||||
\(225\) | −1.08202e13 | −1.25093 | ||||||||
\(226\) | 5.54193e11 | − | 7.46830e11i | 0.0625266 | − | 0.0842608i | ||||
\(227\) | −1.14517e13 | + | 1.14517e13i | −1.26104 | + | 1.26104i | −0.310446 | + | 0.950591i | \(0.600478\pi\) |
−0.950591 | + | 0.310446i | \(0.899522\pi\) | |||||||
\(228\) | −8.72461e12 | + | 2.64155e12i | −0.937787 | + | 0.283933i | ||||
\(229\) | 8.19588e12 | + | 8.19588e12i | 0.860004 | + | 0.860004i | 0.991338 | − | 0.131335i | \(-0.0419262\pi\) |
−0.131335 | + | 0.991338i | \(0.541926\pi\) | |||||||
\(230\) | 1.78084e12 | + | 1.20274e13i | 0.182441 | + | 1.23216i | ||||
\(231\) | 3.24502e12i | 0.324603i | ||||||||
\(232\) | −1.56157e12 | + | 7.37053e11i | −0.152538 | + | 0.0719970i | ||||
\(233\) | − | 1.19894e13i | − | 1.14378i | −0.820332 | − | 0.571888i | \(-0.806211\pi\) | ||
0.820332 | − | 0.571888i | \(-0.193789\pi\) | |||||||
\(234\) | −8.22144e12 | + | 1.21731e12i | −0.766056 | + | 0.113427i | ||||
\(235\) | −1.65931e13 | − | 1.65931e13i | −1.51027 | − | 1.51027i | ||||
\(236\) | 1.17224e12 | − | 2.19032e12i | 0.104232 | − | 0.194757i | ||||
\(237\) | 3.32796e11 | − | 3.32796e11i | 0.0289109 | − | 0.0289109i | ||||
\(238\) | 5.91213e12 | + | 4.38716e12i | 0.501846 | + | 0.372400i | ||||
\(239\) | −1.05045e13 | −0.871339 | −0.435669 | − | 0.900107i | \(-0.643488\pi\) | ||||
−0.435669 | + | 0.900107i | \(0.643488\pi\) | |||||||
\(240\) | 1.24458e13 | − | 8.29697e12i | 1.00893 | − | 0.672602i | ||||
\(241\) | −4.17569e12 | −0.330853 | −0.165426 | − | 0.986222i | \(-0.552900\pi\) | ||||
−0.165426 | + | 0.986222i | \(0.552900\pi\) | |||||||
\(242\) | 8.81670e12 | + | 6.54253e12i | 0.682844 | + | 0.506712i | ||||
\(243\) | 8.79270e12 | − | 8.79270e12i | 0.665714 | − | 0.665714i | ||||
\(244\) | −1.73769e13 | − | 9.29995e12i | −1.28626 | − | 0.688393i | ||||
\(245\) | −1.00097e13 | − | 1.00097e13i | −0.724450 | − | 0.724450i | ||||
\(246\) | −9.45185e12 | + | 1.39950e12i | −0.668920 | + | 0.0990441i | ||||
\(247\) | 2.97027e13i | 2.05571i | ||||||||
\(248\) | 1.60749e13 | + | 5.76608e12i | 1.08809 | + | 0.390298i | ||||
\(249\) | − | 4.86271e12i | − | 0.321945i | ||||||
\(250\) | −5.20305e12 | − | 3.51401e13i | −0.336967 | − | 2.27579i | ||||
\(251\) | 1.23422e13 | + | 1.23422e13i | 0.781962 | + | 0.781962i | 0.980162 | − | 0.198199i | \(-0.0635093\pi\) |
−0.198199 | + | 0.980162i | \(0.563509\pi\) | |||||||
\(252\) | 3.22159e12 | + | 1.06404e13i | 0.199695 | + | 0.659561i | ||||
\(253\) | −3.10612e12 | + | 3.10612e12i | −0.188389 | + | 0.188389i | ||||
\(254\) | −1.64369e13 | + | 2.21503e13i | −0.975514 | + | 1.31460i | ||||
\(255\) | 1.04245e13 | 0.605457 | ||||||||
\(256\) | 6.76659e12 | − | 1.62388e13i | 0.384636 | − | 0.923068i | ||||
\(257\) | −1.61488e13 | −0.898477 | −0.449238 | − | 0.893412i | \(-0.648305\pi\) | ||||
−0.449238 | + | 0.893412i | \(0.648305\pi\) | |||||||
\(258\) | −3.33773e12 | + | 4.49792e12i | −0.181779 | + | 0.244965i | ||||
\(259\) | −3.66468e12 | + | 3.66468e12i | −0.195383 | + | 0.195383i | ||||
\(260\) | −1.41234e13 | − | 4.66473e13i | −0.737200 | − | 2.43486i | ||||
\(261\) | −1.28501e12 | − | 1.28501e12i | −0.0656728 | − | 0.0656728i | ||||
\(262\) | −9.05023e11 | − | 6.11230e12i | −0.0452900 | − | 0.305878i | ||||
\(263\) | − | 2.33354e13i | − | 1.14356i | −0.820407 | − | 0.571780i | \(-0.806253\pi\) | ||
0.820407 | − | 0.571780i | \(-0.193747\pi\) | |||||||
\(264\) | 5.08673e12 | + | 1.82461e12i | 0.244128 | + | 0.0875688i | ||||
\(265\) | 6.17011e13i | 2.90028i | ||||||||
\(266\) | 3.93036e13 | − | 5.81953e12i | 1.80960 | − | 0.267941i | ||||
\(267\) | −6.69238e12 | − | 6.69238e12i | −0.301834 | − | 0.301834i | ||||
\(268\) | 1.49503e13 | + | 8.00126e12i | 0.660554 | + | 0.353523i | ||||
\(269\) | 2.23132e12 | − | 2.23132e12i | 0.0965881 | − | 0.0965881i | −0.657162 | − | 0.753750i | \(-0.728243\pi\) |
0.753750 | + | 0.657162i | \(0.228243\pi\) | |||||||
\(270\) | 3.56004e13 | + | 2.64176e13i | 1.50992 | + | 1.12045i | ||||
\(271\) | 3.01445e13 | 1.25279 | 0.626393 | − | 0.779508i | \(-0.284531\pi\) | ||||
0.626393 | + | 0.779508i | \(0.284531\pi\) | |||||||
\(272\) | 1.02014e13 | − | 6.80074e12i | 0.415460 | − | 0.276967i | ||||
\(273\) | −2.95649e13 | −1.18000 | ||||||||
\(274\) | 1.51559e13 | + | 1.12466e13i | 0.592861 | + | 0.439939i | ||||
\(275\) | 1.62103e13 | − | 1.62103e13i | 0.621528 | − | 0.621528i | ||||
\(276\) | 5.79567e12 | − | 1.08292e13i | 0.217823 | − | 0.407000i | ||||
\(277\) | −1.38774e13 | − | 1.38774e13i | −0.511292 | − | 0.511292i | 0.403630 | − | 0.914922i | \(-0.367748\pi\) |
−0.914922 | + | 0.403630i | \(0.867748\pi\) | |||||||
\(278\) | −2.60649e13 | + | 3.85932e12i | −0.941477 | + | 0.139401i | ||||
\(279\) | 1.79729e13i | 0.636497i | ||||||||
\(280\) | −5.89583e13 | + | 2.78280e13i | −2.04727 | + | 0.966302i | ||||
\(281\) | 1.23343e13i | 0.419981i | 0.977703 | + | 0.209990i | \(0.0673433\pi\) | ||||
−0.977703 | + | 0.209990i | \(0.932657\pi\) | |||||||
\(282\) | 3.47212e12 | + | 2.34498e13i | 0.115938 | + | 0.783015i | ||||
\(283\) | 5.76116e12 | + | 5.76116e12i | 0.188662 | + | 0.188662i | 0.795118 | − | 0.606455i | \(-0.207409\pi\) |
−0.606455 | + | 0.795118i | \(0.707409\pi\) | |||||||
\(284\) | −2.27190e11 | + | 6.87862e10i | −0.00729690 | + | 0.00220928i | ||||
\(285\) | 3.97814e13 | − | 3.97814e13i | 1.25324 | − | 1.25324i | ||||
\(286\) | 1.04932e13 | − | 1.41406e13i | 0.324260 | − | 0.436973i | ||||
\(287\) | 4.16463e13 | 1.26248 | ||||||||
\(288\) | 1.84908e13 | + | 9.32895e11i | 0.549917 | + | 0.0277443i | ||||
\(289\) | −2.57273e13 | −0.750683 | ||||||||
\(290\) | 6.35068e12 | − | 8.55818e12i | 0.181816 | − | 0.245015i | ||||
\(291\) | −4.97237e12 | + | 4.97237e12i | −0.139686 | + | 0.139686i | ||||
\(292\) | 2.41714e12 | − | 7.31837e11i | 0.0666341 | − | 0.0201748i | ||||
\(293\) | −3.65192e13 | − | 3.65192e13i | −0.987982 | − | 0.987982i | 0.0119465 | − | 0.999929i | \(-0.496197\pi\) |
−0.999929 | + | 0.0119465i | \(0.996197\pi\) | |||||||
\(294\) | 2.09455e12 | + | 1.41461e13i | 0.0556135 | + | 0.375600i | ||||
\(295\) | 1.53322e13i | 0.399561i | ||||||||
\(296\) | 3.68399e12 | + | 7.80515e12i | 0.0942354 | + | 0.199653i | ||||
\(297\) | 1.60164e13i | 0.402165i | ||||||||
\(298\) | −3.73283e13 | + | 5.52705e12i | −0.920130 | + | 0.136240i | ||||
\(299\) | −2.82993e13 | − | 2.82993e13i | −0.684833 | − | 0.684833i | ||||
\(300\) | −3.02465e13 | + | 5.65154e13i | −0.718635 | + | 1.34276i | ||||
\(301\) | 1.72625e13 | − | 1.72625e13i | 0.402707 | − | 0.402707i | ||||
\(302\) | −4.24902e13 | − | 3.15303e13i | −0.973308 | − | 0.722253i | ||||
\(303\) | −2.95033e13 | −0.663646 | ||||||||
\(304\) | 1.29773e13 | − | 6.48826e13i | 0.286668 | − | 1.43326i | ||||
\(305\) | 1.21638e14 | 2.63887 | ||||||||
\(306\) | 1.03618e13 | + | 7.68909e12i | 0.220784 | + | 0.163835i | ||||
\(307\) | −3.86138e13 | + | 3.86138e13i | −0.808131 | + | 0.808131i | −0.984351 | − | 0.176220i | \(-0.943613\pi\) |
0.176220 | + | 0.984351i | \(0.443613\pi\) | |||||||
\(308\) | −2.07673e13 | − | 1.11144e13i | −0.426924 | − | 0.228486i | ||||
\(309\) | −3.11106e12 | − | 3.11106e12i | −0.0628256 | − | 0.0628256i | ||||
\(310\) | −1.04262e14 | + | 1.54376e13i | −2.06841 | + | 0.306261i | ||||
\(311\) | − | 2.21250e13i | − | 0.431221i | −0.976479 | − | 0.215611i | \(-0.930826\pi\) | ||
0.976479 | − | 0.215611i | \(-0.0691742\pi\) | |||||||
\(312\) | −1.66238e13 | + | 4.63444e13i | −0.318331 | + | 0.887456i | ||||
\(313\) | − | 4.91648e13i | − | 0.925039i | −0.886609 | − | 0.462520i | \(-0.846945\pi\) | ||
0.886609 | − | 0.462520i | \(-0.153055\pi\) | |||||||
\(314\) | −1.40705e13 | − | 9.50290e13i | −0.260134 | − | 1.75688i | ||||
\(315\) | −4.85168e13 | − | 4.85168e13i | −0.881422 | − | 0.881422i | ||||
\(316\) | 9.89951e11 | + | 3.26965e12i | 0.0176740 | + | 0.0583744i | ||||
\(317\) | −2.50121e13 | + | 2.50121e13i | −0.438858 | + | 0.438858i | −0.891627 | − | 0.452770i | \(-0.850436\pi\) |
0.452770 | + | 0.891627i | \(0.350436\pi\) | |||||||
\(318\) | 3.71434e13 | − | 5.00544e13i | 0.640520 | − | 0.863164i | ||||
\(319\) | 3.85027e12 | 0.0652594 | ||||||||
\(320\) | 1.04707e13 | + | 1.08067e14i | 0.174441 | + | 1.80040i | ||||
\(321\) | −2.60198e13 | −0.426114 | ||||||||
\(322\) | −3.19021e13 | + | 4.29913e13i | −0.513585 | + | 0.692107i | ||||
\(323\) | 3.26074e13 | − | 3.26074e13i | 0.516063 | − | 0.516063i | ||||
\(324\) | −2.72288e12 | − | 8.99325e12i | −0.0423674 | − | 0.139933i | ||||
\(325\) | 1.47689e14 | + | 1.47689e14i | 2.25938 | + | 2.25938i | ||||
\(326\) | 9.88856e12 | + | 6.67849e13i | 0.148743 | + | 1.00457i | ||||
\(327\) | − | 4.09618e13i | − | 0.605852i | ||||||
\(328\) | 2.34169e13 | − | 6.52826e13i | 0.340583 | − | 0.949493i | ||||
\(329\) | − | 1.03324e14i | − | 1.47782i | ||||||
\(330\) | −3.29925e13 | + | 4.88507e12i | −0.464076 | + | 0.0687138i | ||||
\(331\) | 6.15855e13 | + | 6.15855e13i | 0.851970 | + | 0.851970i | 0.990376 | − | 0.138405i | \(-0.0441977\pi\) |
−0.138405 | + | 0.990376i | \(0.544198\pi\) | |||||||
\(332\) | 3.11200e13 | + | 1.66552e13i | 0.423429 | + | 0.226615i | ||||
\(333\) | −6.42285e12 | + | 6.42285e12i | −0.0859577 | + | 0.0859577i | ||||
\(334\) | 7.98661e13 | + | 5.92655e13i | 1.05137 | + | 0.780182i | ||||
\(335\) | −1.04652e14 | −1.35519 | ||||||||
\(336\) | 6.45816e13 | + | 1.29171e13i | 0.822703 | + | 0.164550i | ||||
\(337\) | −1.50805e11 | −0.00188996 | −0.000944980 | − | 1.00000i | \(-0.500301\pi\) | ||||
−0.000944980 | 1.00000i | \(0.500301\pi\) | ||||||||
\(338\) | 6.37022e13 | + | 4.72709e13i | 0.785439 | + | 0.582843i | ||||
\(339\) | 4.09992e12 | − | 4.09992e12i | 0.0497367 | − | 0.0497367i | ||||
\(340\) | −3.57046e13 | + | 6.67138e13i | −0.426177 | + | 0.796309i | ||||
\(341\) | −2.69261e13 | − | 2.69261e13i | −0.316245 | − | 0.316245i | ||||
\(342\) | 6.88850e13 | − | 1.01995e13i | 0.796124 | − | 0.117879i | ||||
\(343\) | 4.77151e13i | 0.542673i | ||||||||
\(344\) | −1.73535e13 | − | 3.67663e13i | −0.194230 | − | 0.411508i | ||||
\(345\) | 7.58038e13i | 0.834999i | ||||||||
\(346\) | −1.95571e13 | − | 1.32084e14i | −0.212025 | − | 1.43196i | ||||
\(347\) | 1.74401e13 | + | 1.74401e13i | 0.186096 | + | 0.186096i | 0.794006 | − | 0.607910i | \(-0.207992\pi\) |
−0.607910 | + | 0.794006i | \(0.707992\pi\) | |||||||
\(348\) | −1.03039e13 | + | 3.11970e12i | −0.108222 | + | 0.0327662i | ||||
\(349\) | −3.25744e13 | + | 3.25744e13i | −0.336773 | + | 0.336773i | −0.855151 | − | 0.518378i | \(-0.826536\pi\) |
0.518378 | + | 0.855151i | \(0.326536\pi\) | |||||||
\(350\) | 1.66491e14 | − | 2.24364e14i | 1.69441 | − | 2.28338i | ||||
\(351\) | −1.45923e14 | −1.46195 | ||||||||
\(352\) | −2.90995e13 | + | 2.63043e13i | −0.287012 | + | 0.259443i | ||||
\(353\) | −1.61148e12 | −0.0156481 | −0.00782407 | − | 0.999969i | \(-0.502491\pi\) | ||||
−0.00782407 | + | 0.999969i | \(0.502491\pi\) | |||||||
\(354\) | 9.22983e12 | − | 1.24381e13i | 0.0882421 | − | 0.118915i | ||||
\(355\) | 1.03591e12 | − | 1.03591e12i | 0.00975141 | − | 0.00975141i | ||||
\(356\) | 6.57513e13 | − | 1.99075e13i | 0.609438 | − | 0.184519i | ||||
\(357\) | 3.24562e13 | + | 3.24562e13i | 0.296225 | + | 0.296225i | ||||
\(358\) | −7.32574e12 | − | 4.94762e13i | −0.0658407 | − | 0.444672i | ||||
\(359\) | 5.33566e13i | 0.472246i | 0.971723 | + | 0.236123i | \(0.0758769\pi\) | ||||
−0.971723 | + | 0.236123i | \(0.924123\pi\) | |||||||
\(360\) | −1.03332e14 | + | 4.87724e13i | −0.900685 | + | 0.425119i | ||||
\(361\) | − | 1.32379e14i | − | 1.13640i | ||||||
\(362\) | −6.88415e13 | + | 1.01931e13i | −0.582040 | + | 0.0861803i | ||||
\(363\) | 4.84015e13 | + | 4.84015e13i | 0.403063 | + | 0.403063i | ||||
\(364\) | 1.01262e14 | − | 1.89207e14i | 0.830593 | − | 1.55196i | ||||
\(365\) | −1.10214e13 | + | 1.10214e13i | −0.0890482 | + | 0.0890482i | ||||
\(366\) | −9.86774e13 | − | 7.32246e13i | −0.785366 | − | 0.582789i | ||||
\(367\) | 9.63988e13 | 0.755802 | 0.377901 | − | 0.925846i | \(-0.376646\pi\) | ||||
0.377901 | + | 0.925846i | \(0.376646\pi\) | |||||||
\(368\) | 4.94530e13 | + | 7.41814e13i | 0.381971 | + | 0.572970i | ||||
\(369\) | 7.29908e13 | 0.555422 | ||||||||
\(370\) | −4.27761e13 | − | 3.17424e13i | −0.320695 | − | 0.237975i | ||||
\(371\) | −1.92104e14 | + | 1.92104e14i | −1.41899 | + | 1.41899i | ||||
\(372\) | 9.38748e13 | + | 5.02410e13i | 0.683224 | + | 0.365655i | ||||
\(373\) | −6.67716e13 | − | 6.67716e13i | −0.478843 | − | 0.478843i | 0.425919 | − | 0.904761i | \(-0.359951\pi\) |
−0.904761 | + | 0.425919i | \(0.859951\pi\) | |||||||
\(374\) | −2.70428e13 | + | 4.00412e12i | −0.191099 | + | 0.0282952i | ||||
\(375\) | − | 2.21474e14i | − | 1.54224i | ||||||
\(376\) | −1.61965e14 | − | 5.80969e13i | −1.11144 | − | 0.398676i | ||||
\(377\) | 3.50792e13i | 0.237231i | ||||||||
\(378\) | 2.85901e13 | + | 1.93090e14i | 0.190551 | + | 1.28693i | ||||
\(379\) | 3.97407e13 | + | 3.97407e13i | 0.261048 | + | 0.261048i | 0.825480 | − | 0.564432i | \(-0.190905\pi\) |
−0.564432 | + | 0.825480i | \(0.690905\pi\) | |||||||
\(380\) | 1.18336e14 | + | 3.90844e14i | 0.766136 | + | 2.53043i | ||||
\(381\) | −1.21600e14 | + | 1.21600e14i | −0.775971 | + | 0.775971i | ||||
\(382\) | −6.35391e13 | + | 8.56252e13i | −0.399662 | + | 0.538584i | ||||
\(383\) | −1.57401e14 | −0.975918 | −0.487959 | − | 0.872866i | \(-0.662259\pi\) | ||||
−0.487959 | + | 0.872866i | \(0.662259\pi\) | |||||||
\(384\) | 5.65612e13 | − | 9.39718e13i | 0.345698 | − | 0.574349i | ||||
\(385\) | 1.45370e14 | 0.875873 | ||||||||
\(386\) | −1.36443e14 | + | 1.83870e14i | −0.810438 | + | 1.09215i | ||||
\(387\) | 3.02549e13 | − | 3.02549e13i | 0.177168 | − | 0.177168i | ||||
\(388\) | −1.47910e13 | − | 4.88525e13i | −0.0853934 | − | 0.282041i | ||||
\(389\) | −1.16568e14 | − | 1.16568e14i | −0.663525 | − | 0.663525i | 0.292684 | − | 0.956209i | \(-0.405452\pi\) |
−0.956209 | + | 0.292684i | \(0.905452\pi\) | |||||||
\(390\) | −4.45070e13 | − | 3.00590e14i | −0.249789 | − | 1.68701i | ||||
\(391\) | 6.21337e13i | 0.343839i | ||||||||
\(392\) | −9.77048e13 | − | 3.50468e13i | −0.533142 | − | 0.191238i | ||||
\(393\) | − | 3.85234e13i | − | 0.207284i | ||||||
\(394\) | 1.44612e14 | − | 2.14121e13i | 0.767317 | − | 0.113613i | ||||
\(395\) | −1.49086e13 | − | 1.49086e13i | −0.0780102 | − | 0.0780102i | ||||
\(396\) | −3.63974e13 | − | 1.94796e13i | −0.187822 | − | 0.100521i | ||||
\(397\) | −6.93873e13 | + | 6.93873e13i | −0.353128 | + | 0.353128i | −0.861272 | − | 0.508144i | \(-0.830332\pi\) |
0.508144 | + | 0.861272i | \(0.330332\pi\) | |||||||
\(398\) | 4.82855e13 | + | 3.58308e13i | 0.242360 | + | 0.179845i | ||||
\(399\) | 2.47715e14 | 1.22631 | ||||||||
\(400\) | −2.58086e14 | − | 3.87139e14i | −1.26019 | − | 1.89033i | ||||
\(401\) | −1.22810e14 | −0.591482 | −0.295741 | − | 0.955268i | \(-0.595566\pi\) | ||||
−0.295741 | + | 0.955268i | \(0.595566\pi\) | |||||||
\(402\) | 8.48977e13 | + | 6.29992e13i | 0.403323 | + | 0.299290i | ||||
\(403\) | 2.45319e14 | − | 2.45319e14i | 1.14962 | − | 1.14962i | ||||
\(404\) | 1.01051e14 | − | 1.88813e14i | 0.467136 | − | 0.872840i | ||||
\(405\) | 4.10063e13 | + | 4.10063e13i | 0.187003 | + | 0.187003i | ||||
\(406\) | 4.64181e13 | − | 6.87293e12i | 0.208831 | − | 0.0309207i | ||||
\(407\) | − | 1.92447e13i | − | 0.0854166i | ||||||
\(408\) | 6.91261e13 | − | 3.26272e13i | 0.302699 | − | 0.142872i | ||||
\(409\) | 7.71261e13i | 0.333214i | 0.986023 | + | 0.166607i | \(0.0532811\pi\) | ||||
−0.986023 | + | 0.166607i | \(0.946719\pi\) | |||||||
\(410\) | 6.26945e13 | + | 4.23423e14i | 0.267250 | + | 1.80494i | ||||
\(411\) | 8.32021e13 | + | 8.32021e13i | 0.349948 | + | 0.349948i | ||||
\(412\) | 3.05656e13 | − | 9.25431e12i | 0.126852 | − | 0.0384069i | ||||
\(413\) | −4.77361e13 | + | 4.77361e13i | −0.195489 | + | 0.195489i | ||||
\(414\) | −5.59128e13 | + | 7.53481e13i | −0.225949 | + | 0.304488i | ||||
\(415\) | −2.17839e14 | −0.868704 | ||||||||
\(416\) | −2.39654e14 | − | 2.65120e14i | −0.943128 | − | 1.04335i | ||||
\(417\) | −1.64277e14 | −0.638010 | ||||||||
\(418\) | −8.79193e13 | + | 1.18480e14i | −0.336988 | + | 0.454125i | ||||
\(419\) | 3.70961e14 | − | 3.70961e14i | 1.40330 | − | 1.40330i | 0.613989 | − | 0.789314i | \(-0.289564\pi\) |
0.789314 | − | 0.613989i | \(-0.210436\pi\) | |||||||
\(420\) | −3.89031e14 | + | 1.17787e14i | −1.45249 | + | 0.439770i | ||||
\(421\) | 1.97013e13 | + | 1.97013e13i | 0.0726011 | + | 0.0726011i | 0.742475 | − | 0.669874i | \(-0.233652\pi\) |
−0.669874 | + | 0.742475i | \(0.733652\pi\) | |||||||
\(422\) | 7.33073e13 | + | 4.95099e14i | 0.266642 | + | 1.80083i | ||||
\(423\) | − | 1.81089e14i | − | 0.650159i | ||||||
\(424\) | 1.93116e14 | + | 4.09148e14i | 0.684392 | + | 1.45000i | ||||
\(425\) | − | 3.24265e14i | − | 1.13438i | ||||||
\(426\) | −1.46398e12 | + | 2.16766e11i | −0.00505573 | + | 0.000748581i | ||||
\(427\) | 3.78713e14 | + | 3.78713e14i | 1.29109 | + | 1.29109i | ||||
\(428\) | 8.91197e13 | − | 1.66519e14i | 0.299939 | − | 0.560433i | ||||
\(429\) | 7.76285e13 | − | 7.76285e13i | 0.257932 | − | 0.257932i | ||||
\(430\) | 2.01497e14 | + | 1.49523e14i | 0.660987 | + | 0.490492i | ||||
\(431\) | 8.37088e13 | 0.271110 | 0.135555 | − | 0.990770i | \(-0.456718\pi\) | ||||
0.135555 | + | 0.990770i | \(0.456718\pi\) | |||||||
\(432\) | 3.18754e14 | + | 6.37546e13i | 1.01928 | + | 0.203869i | ||||
\(433\) | 3.95547e14 | 1.24886 | 0.624431 | − | 0.781080i | \(-0.285331\pi\) | ||||
0.624431 | + | 0.781080i | \(0.285331\pi\) | |||||||
\(434\) | −3.72679e14 | − | 2.76550e14i | −1.16183 | − | 0.862146i | ||||
\(435\) | 4.69823e13 | − | 4.69823e13i | 0.144625 | − | 0.144625i | ||||
\(436\) | 2.62144e14 | + | 1.40297e14i | 0.796828 | + | 0.426455i | ||||
\(437\) | 2.37112e14 | + | 2.37112e14i | 0.711713 | + | 0.711713i | ||||
\(438\) | 1.55758e13 | − | 2.30624e12i | 0.0461681 | − | 0.00683591i | ||||
\(439\) | − | 4.95762e14i | − | 1.45117i | −0.688132 | − | 0.725586i | \(-0.741569\pi\) | ||
0.688132 | − | 0.725586i | \(-0.258431\pi\) | |||||||
\(440\) | 8.17389e13 | − | 2.27875e14i | 0.236286 | − | 0.658729i | ||||
\(441\) | − | 1.09241e14i | − | 0.311871i | ||||||
\(442\) | −3.64809e13 | − | 2.46383e14i | −0.102859 | − | 0.694685i | ||||
\(443\) | 9.47829e13 | + | 9.47829e13i | 0.263943 | + | 0.263943i | 0.826654 | − | 0.562711i | \(-0.190242\pi\) |
−0.562711 | + | 0.826654i | \(0.690242\pi\) | |||||||
\(444\) | 1.55931e13 | + | 5.15015e13i | 0.0428870 | + | 0.141649i | ||||
\(445\) | −2.99805e14 | + | 2.99805e14i | −0.814438 | + | 0.814438i | ||||
\(446\) | −3.92290e14 | + | 5.28650e14i | −1.05261 | + | 1.41849i | ||||
\(447\) | −2.35266e14 | −0.623544 | ||||||||
\(448\) | −3.03863e14 | + | 3.69063e14i | −0.795515 | + | 0.966209i | ||||
\(449\) | −3.01226e14 | −0.779001 | −0.389500 | − | 0.921026i | \(-0.627352\pi\) | ||||
−0.389500 | + | 0.921026i | \(0.627352\pi\) | |||||||
\(450\) | 2.91799e14 | − | 3.93228e14i | 0.745444 | − | 1.00456i | ||||
\(451\) | −1.09351e14 | + | 1.09351e14i | −0.275963 | + | 0.275963i | ||||
\(452\) | 1.21958e13 | + | 4.02808e13i | 0.0304053 | + | 0.100424i | ||||
\(453\) | −2.33261e14 | − | 2.33261e14i | −0.574515 | − | 0.574515i | ||||
\(454\) | −1.07348e14 | − | 7.25005e14i | −0.261209 | − | 1.76414i | ||||
\(455\) | 1.32444e15i | 3.18398i | ||||||||
\(456\) | 1.39286e14 | − | 3.88306e14i | 0.330826 | − | 0.922289i | ||||
\(457\) | 1.00211e14i | 0.235166i | 0.993063 | + | 0.117583i | \(0.0375146\pi\) | ||||
−0.993063 | + | 0.117583i | \(0.962485\pi\) | |||||||
\(458\) | −5.18879e14 | + | 7.68283e13i | −1.20311 | + | 0.178140i | ||||
\(459\) | 1.60193e14 | + | 1.60193e14i | 0.367007 | + | 0.367007i | ||||
\(460\) | −4.85123e14 | − | 2.59634e14i | −1.09821 | − | 0.587751i | ||||
\(461\) | 3.90890e14 | − | 3.90890e14i | 0.874377 | − | 0.874377i | −0.118568 | − | 0.992946i | \(-0.537831\pi\) |
0.992946 | + | 0.118568i | \(0.0378305\pi\) | |||||||
\(462\) | −1.17930e14 | − | 8.75114e13i | −0.260672 | − | 0.193434i | ||||
\(463\) | −7.10495e13 | −0.155191 | −0.0775953 | − | 0.996985i | \(-0.524724\pi\) | ||||
−0.0775953 | + | 0.996985i | \(0.524724\pi\) | |||||||
\(464\) | 1.53263e13 | − | 7.66272e13i | 0.0330818 | − | 0.165399i | ||||
\(465\) | −6.57121e14 | −1.40170 | ||||||||
\(466\) | 4.35718e14 | + | 3.23329e14i | 0.918509 | + | 0.681589i | ||||
\(467\) | −4.92262e14 | + | 4.92262e14i | −1.02554 | + | 1.02554i | −0.0258775 | + | 0.999665i | \(0.508238\pi\) |
−0.999665 | + | 0.0258775i | \(0.991762\pi\) | |||||||
\(468\) | 1.77475e14 | − | 3.31611e14i | 0.365414 | − | 0.682774i | ||||
\(469\) | −3.25828e14 | − | 3.25828e14i | −0.663037 | − | 0.663037i | ||||
\(470\) | 1.05050e15 | − | 1.55544e14i | 2.11280 | − | 0.312834i | ||||
\(471\) | − | 5.98930e14i | − | 1.19059i | ||||||
\(472\) | 4.79876e13 | + | 1.01670e14i | 0.0942863 | + | 0.199761i | ||||
\(473\) | 9.06525e13i | 0.176053i | ||||||||
\(474\) | 3.11963e12 | + | 2.10692e13i | 0.00598856 | + | 0.0404453i | ||||
\(475\) | −1.23744e15 | − | 1.23744e15i | −2.34807 | − | 2.34807i | ||||
\(476\) | −3.18875e14 | + | 9.65457e13i | −0.598112 | + | 0.181090i | ||||
\(477\) | −3.36688e14 | + | 3.36688e14i | −0.624275 | + | 0.624275i | ||||
\(478\) | 2.83284e14 | − | 3.81753e14i | 0.519241 | − | 0.699728i | ||||
\(479\) | 1.05196e15 | 1.90614 | 0.953069 | − | 0.302752i | \(-0.0979053\pi\) | ||||
0.953069 | + | 0.302752i | \(0.0979053\pi\) | |||||||
\(480\) | −3.41082e13 | + | 6.76055e14i | −0.0610987 | + | 1.21103i | ||||
\(481\) | 1.75335e14 | 0.310507 | ||||||||
\(482\) | 1.12610e14 | − | 1.51752e14i | 0.197159 | − | 0.265691i | ||||
\(483\) | −2.36012e14 | + | 2.36012e14i | −0.408530 | + | 0.408530i | ||||
\(484\) | −4.75536e14 | + | 1.43978e14i | −0.813830 | + | 0.246403i | ||||
\(485\) | 2.22752e14 | + | 2.22752e14i | 0.376913 | + | 0.376913i | ||||
\(486\) | 8.24229e13 | + | 5.56664e14i | 0.137895 | + | 0.931308i | ||||
\(487\) | − | 1.75551e14i | − | 0.290398i | −0.989403 | − | 0.145199i | \(-0.953618\pi\) | ||
0.989403 | − | 0.145199i | \(-0.0463822\pi\) | |||||||
\(488\) | 8.06595e14 | − | 3.80709e14i | 1.31931 | − | 0.622707i | ||||
\(489\) | 4.20919e14i | 0.680769i | ||||||||
\(490\) | 6.33713e14 | − | 9.38313e13i | 1.01348 | − | 0.150062i | ||||
\(491\) | −3.90969e14 | − | 3.90969e14i | −0.618293 | − | 0.618293i | 0.326800 | − | 0.945093i | \(-0.394030\pi\) |
−0.945093 | + | 0.326800i | \(0.894030\pi\) | |||||||
\(492\) | 2.04036e14 | − | 3.81240e14i | 0.319080 | − | 0.596197i | ||||
\(493\) | 3.85098e13 | − | 3.85098e13i | 0.0595543 | − | 0.0595543i | ||||
\(494\) | −1.07945e15 | − | 8.01018e14i | −1.65084 | − | 1.22502i | ||||
\(495\) | 2.54781e14 | 0.385335 | ||||||||
\(496\) | −6.43057e14 | + | 4.28694e14i | −0.961834 | + | 0.641207i | ||||
\(497\) | 6.45054e12 | 0.00954192 | ||||||||
\(498\) | 1.76720e14 | + | 1.31137e14i | 0.258538 | + | 0.191851i | ||||
\(499\) | −4.65711e14 | + | 4.65711e14i | −0.673851 | + | 0.673851i | −0.958602 | − | 0.284751i | \(-0.908089\pi\) |
0.284751 | + | 0.958602i | \(0.408089\pi\) | |||||||
\(500\) | 1.41737e15 | + | 7.58565e14i | 2.02838 | + | 1.08557i | ||||
\(501\) | 4.38445e14 | + | 4.38445e14i | 0.620595 | + | 0.620595i | ||||
\(502\) | −7.81380e14 | + | 1.15696e14i | −1.09394 | + | 0.161974i | ||||
\(503\) | 1.00596e15i | 1.39302i | 0.717546 | + | 0.696511i | \(0.245265\pi\) | ||||
−0.717546 | + | 0.696511i | \(0.754735\pi\) | |||||||
\(504\) | −4.73572e14 | − | 1.69870e14i | −0.648661 | − | 0.232675i | ||||
\(505\) | 1.32169e15i | 1.79071i | ||||||||
\(506\) | −2.91168e13 | − | 1.96648e14i | −0.0390226 | − | 0.263549i | ||||
\(507\) | 3.49709e14 | + | 3.49709e14i | 0.463621 | + | 0.463621i | ||||
\(508\) | −3.61717e14 | − | 1.19469e15i | −0.474371 | − | 1.56677i | ||||
\(509\) | 9.28220e14 | − | 9.28220e14i | 1.20421 | − | 1.20421i | 0.231339 | − | 0.972873i | \(-0.425690\pi\) |
0.972873 | − | 0.231339i | \(-0.0743105\pi\) | |||||||
\(510\) | −2.81126e14 | + | 3.78845e14i | −0.360799 | + | 0.486212i | ||||
\(511\) | −6.86292e13 | −0.0871352 | ||||||||
\(512\) | 4.07668e14 | + | 6.83837e14i | 0.512061 | + | 0.858949i | ||||
\(513\) | 1.22264e15 | 1.51934 | ||||||||
\(514\) | 4.35498e14 | − | 5.86876e14i | 0.535413 | − | 0.721522i | ||||
\(515\) | −1.39369e14 | + | 1.39369e14i | −0.169522 | + | 0.169522i | ||||
\(516\) | −7.34515e13 | − | 2.42599e14i | −0.0883950 | − | 0.291955i | ||||
\(517\) | 2.71297e14 | + | 2.71297e14i | 0.323033 | + | 0.323033i | ||||
\(518\) | −3.43528e13 | − | 2.32010e14i | −0.0404714 | − | 0.273334i | ||||
\(519\) | − | 8.32473e14i | − | 0.970397i | ||||||
\(520\) | 2.07613e15 | + | 7.44709e14i | 2.39462 | + | 0.858951i | ||||
\(521\) | − | 3.89954e14i | − | 0.445047i | −0.974927 | − | 0.222523i | \(-0.928571\pi\) | ||
0.974927 | − | 0.222523i | \(-0.0714294\pi\) | |||||||
\(522\) | 8.13540e13 | − | 1.20457e13i | 0.0918737 | − | 0.0136034i | ||||
\(523\) | −8.43298e14 | − | 8.43298e14i | −0.942370 | − | 0.942370i | 0.0560573 | − | 0.998428i | \(-0.482147\pi\) |
−0.998428 | + | 0.0560573i | \(0.982147\pi\) | |||||||
\(524\) | 2.46539e14 | + | 1.31946e14i | 0.272624 | + | 0.145906i | ||||
\(525\) | 1.23170e15 | − | 1.23170e15i | 1.34781 | − | 1.34781i | ||||
\(526\) | 8.48053e14 | + | 6.29307e14i | 0.918336 | + | 0.681461i | ||||
\(527\) | −5.38619e14 | −0.577196 | ||||||||
\(528\) | −2.03488e14 | + | 1.35656e14i | −0.215801 | + | 0.143864i | ||||
\(529\) | 5.00991e14 | 0.525804 | ||||||||
\(530\) | −2.24233e15 | − | 1.66395e15i | −2.32907 | − | 1.72831i | ||||
\(531\) | −8.36641e13 | + | 8.36641e13i | −0.0860041 | + | 0.0860041i | ||||
\(532\) | −8.48443e14 | + | 1.58531e15i | −0.863195 | + | 1.61287i | ||||
\(533\) | −9.96276e14 | − | 9.96276e14i | −1.00318 | − | 1.00318i | ||||
\(534\) | 4.23693e14 | − | 6.27345e13i | 0.422255 | − | 0.0625215i | ||||
\(535\) | 1.16563e15i | 1.14978i | ||||||||
\(536\) | −6.93959e14 | + | 3.27545e14i | −0.677528 | + | 0.319790i | ||||
\(537\) | − | 3.11829e14i | − | 0.301341i | ||||||
\(538\) | 2.09164e13 | + | 1.41264e14i | 0.0200071 | + | 0.135123i | ||||
\(539\) | 1.63659e14 | + | 1.63659e14i | 0.154954 | + | 0.154954i | ||||
\(540\) | −1.92013e15 | + | 5.81358e14i | −1.79956 | + | 0.544851i | ||||
\(541\) | 7.75321e14 | − | 7.75321e14i | 0.719277 | − | 0.719277i | −0.249180 | − | 0.968457i | \(-0.580161\pi\) |
0.968457 | + | 0.249180i | \(0.0801610\pi\) | |||||||
\(542\) | −8.12933e14 | + | 1.09551e15i | −0.746549 | + | 1.00605i | ||||
\(543\) | −4.33880e14 | −0.394431 | ||||||||
\(544\) | −2.79573e13 | + | 5.54138e14i | −0.0251595 | + | 0.498683i | ||||
\(545\) | −1.83500e15 | −1.63477 | ||||||||
\(546\) | 7.97302e14 | − | 1.07444e15i | 0.703175 | − | 0.947597i | ||||
\(547\) | 1.27728e15 | − | 1.27728e15i | 1.11521 | − | 1.11521i | 0.122774 | − | 0.992435i | \(-0.460821\pi\) |
0.992435 | − | 0.122774i | \(-0.0391790\pi\) | |||||||
\(548\) | −8.17444e14 | + | 2.47497e14i | −0.706585 | + | 0.213932i | ||||
\(549\) | 6.63747e14 | + | 6.63747e14i | 0.568008 | + | 0.568008i | ||||
\(550\) | 1.51955e14 | + | 1.02627e15i | 0.128742 | + | 0.869493i | ||||
\(551\) | − | 2.93918e14i | − | 0.246543i | ||||||
\(552\) | 2.37255e14 | + | 5.02665e14i | 0.197038 | + | 0.417459i | ||||
\(553\) | − | 9.28343e13i | − | 0.0763344i | ||||||
\(554\) | 8.78574e14 | − | 1.30087e14i | 0.715278 | − | 0.105908i | ||||
\(555\) | −2.34830e14 | − | 2.34830e14i | −0.189297 | − | 0.189297i | ||||
\(556\) | 5.62660e14 | − | 1.05133e15i | 0.449091 | − | 0.839123i | ||||
\(557\) | −6.89209e14 | + | 6.89209e14i | −0.544687 | + | 0.544687i | −0.924899 | − | 0.380212i | \(-0.875851\pi\) |
0.380212 | + | 0.924899i | \(0.375851\pi\) | |||||||
\(558\) | −6.53171e14 | − | 4.84692e14i | −0.511139 | − | 0.379296i | ||||
\(559\) | −8.25920e14 | −0.639990 | ||||||||
\(560\) | 5.78658e14 | − | 2.89312e15i | 0.444005 | − | 2.21989i | ||||
\(561\) | −1.70440e14 | −0.129502 | ||||||||
\(562\) | −4.48251e14 | − | 3.32630e14i | −0.337266 | − | 0.250271i | ||||
\(563\) | 7.63745e14 | − | 7.63745e14i | 0.569052 | − | 0.569052i | −0.362811 | − | 0.931863i | \(-0.618183\pi\) |
0.931863 | + | 0.362811i | \(0.118183\pi\) | |||||||
\(564\) | −9.45848e14 | − | 5.06209e14i | −0.697889 | − | 0.373504i | ||||
\(565\) | −1.83668e14 | − | 1.83668e14i | −0.134204 | − | 0.134204i | ||||
\(566\) | −3.64738e14 | + | 5.40052e13i | −0.263931 | + | 0.0390792i | ||||
\(567\) | 2.55343e14i | 0.182985i | ||||||||
\(568\) | 3.62701e12 | − | 1.01115e13i | 0.00257415 | − | 0.00717631i | ||||
\(569\) | 1.49261e14i | 0.104913i | 0.998623 | + | 0.0524563i | \(0.0167050\pi\) | ||||
−0.998623 | + | 0.0524563i | \(0.983295\pi\) | |||||||
\(570\) | 3.72911e14 | + | 2.51855e15i | 0.259594 | + | 1.75323i | ||||
\(571\) | 1.12561e15 | + | 1.12561e15i | 0.776052 | + | 0.776052i | 0.979157 | − | 0.203105i | \(-0.0651032\pi\) |
−0.203105 | + | 0.979157i | \(0.565103\pi\) | |||||||
\(572\) | 2.30917e14 | + | 7.62684e14i | 0.157681 | + | 0.520795i | ||||
\(573\) | −4.70061e14 | + | 4.70061e14i | −0.317910 | + | 0.317910i | ||||
\(574\) | −1.12311e15 | + | 1.51351e15i | −0.752329 | + | 1.01384i | ||||
\(575\) | 2.35796e15 | 1.56445 | ||||||||
\(576\) | −5.32561e14 | + | 6.46832e14i | −0.349982 | + | 0.425077i | ||||
\(577\) | −1.10552e15 | −0.719615 | −0.359807 | − | 0.933027i | \(-0.617158\pi\) | ||||
−0.359807 | + | 0.933027i | \(0.617158\pi\) | |||||||
\(578\) | 6.93811e14 | − | 9.34979e14i | 0.447340 | − | 0.602836i | ||||
\(579\) | −1.00940e15 | + | 1.00940e15i | −0.644662 | + | 0.644662i | ||||
\(580\) | 1.39756e14 | + | 4.61592e14i | 0.0884130 | + | 0.292014i | ||||
\(581\) | −6.78233e14 | − | 6.78233e14i | −0.425021 | − | 0.425021i | ||||
\(582\) | −4.66110e13 | − | 3.14799e14i | −0.0289343 | − | 0.195415i | ||||
\(583\) | − | 1.00881e15i | − | 0.620345i | ||||||
\(584\) | −3.85889e13 | + | 1.07580e14i | −0.0235067 | + | 0.0655329i | ||||
\(585\) | 2.32127e15i | 1.40077i | ||||||||
\(586\) | 2.31202e15 | − | 3.42331e14i | 1.38215 | − | 0.204649i | ||||
\(587\) | −5.74857e14 | − | 5.74857e14i | −0.340448 | − | 0.340448i | 0.516088 | − | 0.856536i | \(-0.327388\pi\) |
−0.856536 | + | 0.516088i | \(0.827388\pi\) | |||||||
\(588\) | −5.70580e14 | − | 3.05369e14i | −0.334766 | − | 0.179164i | ||||
\(589\) | −2.05545e15 | + | 2.05545e15i | −1.19474 | + | 1.19474i | ||||
\(590\) | −5.57201e14 | − | 4.13477e14i | −0.320868 | − | 0.238103i | ||||
\(591\) | 9.11431e14 | 0.519987 | ||||||||
\(592\) | −3.83003e14 | − | 7.66052e13i | −0.216488 | − | 0.0433001i | ||||
\(593\) | 1.70041e15 | 0.952252 | 0.476126 | − | 0.879377i | \(-0.342041\pi\) | ||||
0.476126 | + | 0.879377i | \(0.342041\pi\) | |||||||
\(594\) | −5.82066e14 | − | 4.31928e14i | −0.322959 | − | 0.239655i | ||||
\(595\) | 1.45397e15 | − | 1.45397e15i | 0.799303 | − | 0.799303i | ||||
\(596\) | 8.05803e14 | − | 1.50564e15i | 0.438909 | − | 0.820097i | ||||
\(597\) | 2.65076e14 | + | 2.65076e14i | 0.143058 | + | 0.143058i | ||||
\(598\) | 1.79162e15 | − | 2.65278e14i | 0.958055 | − | 0.141855i | ||||
\(599\) | 9.06284e14i | 0.480194i | 0.970749 | + | 0.240097i | \(0.0771792\pi\) | ||||
−0.970749 | + | 0.240097i | \(0.922821\pi\) | |||||||
\(600\) | −1.23819e15 | − | 2.62332e15i | −0.650064 | − | 1.37727i | ||||
\(601\) | − | 3.33138e15i | − | 1.73306i | −0.499124 | − | 0.866531i | \(-0.666345\pi\) | ||
0.499124 | − | 0.866531i | \(-0.333655\pi\) | |||||||
\(602\) | 1.61819e14 | + | 1.09289e15i | 0.0834161 | + | 0.563371i | ||||
\(603\) | −5.71058e14 | − | 5.71058e14i | −0.291699 | − | 0.291699i | ||||
\(604\) | 2.29174e15 | − | 6.93869e14i | 1.16001 | − | 0.351216i | ||||
\(605\) | 2.16829e15 | − | 2.16829e15i | 1.08758 | − | 1.08758i | ||||
\(606\) | 7.95642e14 | − | 1.07221e15i | 0.395474 | − | 0.532941i | ||||
\(607\) | 1.62819e15 | 0.801986 | 0.400993 | − | 0.916081i | \(-0.368665\pi\) | ||||
0.400993 | + | 0.916081i | \(0.368665\pi\) | |||||||
\(608\) | 2.00799e15 | + | 2.22137e15i | 0.980147 | + | 1.08430i | ||||
\(609\) | 2.92555e14 | 0.141518 | ||||||||
\(610\) | −3.28031e15 | + | 4.42054e15i | −1.57254 | + | 2.11915i | ||||
\(611\) | −2.47174e15 | + | 2.47174e15i | −1.17429 | + | 1.17429i | ||||
\(612\) | −5.58872e14 | + | 1.69209e14i | −0.263136 | + | 0.0796694i | ||||
\(613\) | −1.39720e15 | − | 1.39720e15i | −0.651968 | − | 0.651968i | 0.301499 | − | 0.953467i | \(-0.402513\pi\) |
−0.953467 | + | 0.301499i | \(0.902513\pi\) | |||||||
\(614\) | −3.61966e14 | − | 2.44463e15i | −0.167395 | − | 1.13054i | ||||
\(615\) | 2.66867e15i | 1.22315i | ||||||||
\(616\) | 9.63969e14 | − | 4.54988e14i | 0.437894 | − | 0.206684i | ||||
\(617\) | 1.42742e15i | 0.642661i | 0.946967 | + | 0.321331i | \(0.104130\pi\) | ||||
−0.946967 | + | 0.321331i | \(0.895870\pi\) | |||||||
\(618\) | 1.96961e14 | − | 2.91631e13i | 0.0878907 | − | 0.0130136i | ||||
\(619\) | −5.96980e14 | − | 5.96980e14i | −0.264035 | − | 0.264035i | 0.562656 | − | 0.826691i | \(-0.309780\pi\) |
−0.826691 | + | 0.562656i | \(0.809780\pi\) | |||||||
\(620\) | 2.25069e15 | − | 4.20539e15i | 0.986646 | − | 1.84354i | ||||
\(621\) | −1.16488e15 | + | 1.16488e15i | −0.506147 | + | 0.506147i | ||||
\(622\) | 8.04063e14 | + | 5.96663e14i | 0.346292 | + | 0.256970i | ||||
\(623\) | −1.86686e15 | −0.796942 | ||||||||
\(624\) | −1.23594e15 | − | 1.85395e15i | −0.522974 | − | 0.784481i | ||||
\(625\) | −4.50500e15 | −1.88953 | ||||||||
\(626\) | 1.78674e15 | + | 1.32587e15i | 0.742853 | + | 0.551242i | ||||
\(627\) | −6.50426e14 | + | 6.50426e14i | −0.268057 | + | 0.268057i | ||||
\(628\) | 3.83299e15 | + | 2.05138e15i | 1.56588 | + | 0.838046i | ||||
\(629\) | −1.92482e14 | − | 1.92482e14i | −0.0779493 | − | 0.0779493i | ||||
\(630\) | 3.07159e15 | − | 4.54797e14i | 1.23308 | − | 0.182576i | ||||
\(631\) | − | 3.18386e15i | − | 1.26704i | −0.773724 | − | 0.633522i | \(-0.781608\pi\) | ||
0.773724 | − | 0.633522i | \(-0.218392\pi\) | |||||||
\(632\) | −1.45522e14 | − | 5.21989e13i | −0.0574097 | − | 0.0205929i | ||||
\(633\) | 3.12041e15i | 1.22037i | ||||||||
\(634\) | −2.34463e14 | − | 1.58351e15i | −0.0909043 | − | 0.613945i | ||||
\(635\) | 5.44742e15 | + | 5.44742e15i | 2.09380 | + | 2.09380i | ||||
\(636\) | 8.17394e14 | + | 2.69972e15i | 0.311471 | + | 1.02874i | ||||
\(637\) | −1.49107e15 | + | 1.49107e15i | −0.563289 | + | 0.563289i | ||||
\(638\) | −1.03834e14 | + | 1.39926e14i | −0.0388888 | + | 0.0524065i | ||||
\(639\) | 1.13054e13 | 0.00419791 | ||||||||
\(640\) | −4.20974e15 | − | 2.53382e15i | −1.54976 | − | 0.932795i | ||||
\(641\) | 3.07527e15 | 1.12244 | 0.561222 | − | 0.827665i | \(-0.310331\pi\) | ||||
0.561222 | + | 0.827665i | \(0.310331\pi\) | |||||||
\(642\) | 7.01698e14 | − | 9.45608e14i | 0.253926 | − | 0.342191i | ||||
\(643\) | −2.71246e14 | + | 2.71246e14i | −0.0973203 | + | 0.0973203i | −0.754091 | − | 0.656770i | \(-0.771922\pi\) |
0.656770 | + | 0.754091i | \(0.271922\pi\) | |||||||
\(644\) | −7.02052e14 | − | 2.31877e15i | −0.249745 | − | 0.824869i | ||||
\(645\) | 1.10617e15 | + | 1.10617e15i | 0.390161 | + | 0.390161i | ||||
\(646\) | 3.05662e14 | + | 2.06437e15i | 0.106896 | + | 0.721952i | ||||
\(647\) | − | 4.50034e15i | − | 1.56053i | −0.625451 | − | 0.780264i | \(-0.715085\pi\) | ||
0.625451 | − | 0.780264i | \(-0.284915\pi\) | |||||||
\(648\) | 4.00262e14 | + | 1.43574e14i | 0.137620 | + | 0.0493644i | ||||
\(649\) | − | 2.50682e14i | − | 0.0854627i | ||||||
\(650\) | −9.35016e15 | + | 1.38444e15i | −3.16079 | + | 0.468005i | ||||
\(651\) | −2.04592e15 | − | 2.04592e15i | −0.685792 | − | 0.685792i | ||||
\(652\) | −2.69376e15 | − | 1.44168e15i | −0.895360 | − | 0.479189i | ||||
\(653\) | −2.95719e15 | + | 2.95719e15i | −0.974668 | + | 0.974668i | −0.999687 | − | 0.0250186i | \(-0.992035\pi\) |
0.0250186 | + | 0.999687i | \(0.492035\pi\) | |||||||
\(654\) | 1.48863e15 | + | 1.10465e15i | 0.486529 | + | 0.361034i | ||||
\(655\) | −1.72577e15 | −0.559313 | ||||||||
\(656\) | 1.74099e15 | + | 2.61155e15i | 0.559532 | + | 0.839319i | ||||
\(657\) | −1.20282e14 | −0.0383346 | ||||||||
\(658\) | 3.75498e15 | + | 2.78642e15i | 1.18676 | + | 0.880651i | ||||
\(659\) | 2.05647e15 | − | 2.05647e15i | 0.644545 | − | 0.644545i | −0.307124 | − | 0.951669i | \(-0.599367\pi\) |
0.951669 | + | 0.307124i | \(0.0993668\pi\) | |||||||
\(660\) | 7.12206e14 | − | 1.33075e15i | 0.221368 | − | 0.413624i | ||||
\(661\) | 2.94861e15 | + | 2.94861e15i | 0.908887 | + | 0.908887i | 0.996182 | − | 0.0872957i | \(-0.0278225\pi\) |
−0.0872957 | + | 0.996182i | \(0.527823\pi\) | |||||||
\(662\) | −3.89896e15 | + | 5.77303e14i | −1.19187 | + | 0.176476i | ||||
\(663\) | − | 1.55285e15i | − | 0.470767i | ||||||
\(664\) | −1.44452e15 | + | 6.81806e14i | −0.434310 | + | 0.204992i | ||||
\(665\) | − | 1.10971e16i | − | 3.30896i | ||||||
\(666\) | −6.02079e13 | − | 4.06629e14i | −0.0178051 | − | 0.120251i | ||||
\(667\) | 2.80032e14 | + | 2.80032e14i | 0.0821326 | + | 0.0821326i | ||||
\(668\) | −4.30764e15 | + | 1.30422e15i | −1.25305 | + | 0.379386i | ||||
\(669\) | −2.90216e15 | + | 2.90216e15i | −0.837294 | + | 0.837294i | ||||
\(670\) | 2.82223e15 | − | 3.80324e15i | 0.807572 | − | 1.08828i | ||||
\(671\) | −1.98878e15 | −0.564432 | ||||||||
\(672\) | −2.21106e15 | + | 1.99867e15i | −0.622400 | + | 0.562614i | ||||
\(673\) | −3.67663e15 | −1.02652 | −0.513259 | − | 0.858234i | \(-0.671562\pi\) | ||||
−0.513259 | + | 0.858234i | \(0.671562\pi\) | |||||||
\(674\) | 4.06690e12 | − | 5.48056e12i | 0.00112625 | − | 0.00151773i | ||||
\(675\) | 6.07929e15 | − | 6.07929e15i | 1.66987 | − | 1.66987i | ||||
\(676\) | −3.43583e15 | + | 1.04026e15i | −0.936104 | + | 0.283424i | ||||
\(677\) | −1.77059e15 | − | 1.77059e15i | −0.478499 | − | 0.478499i | 0.426152 | − | 0.904651i | \(-0.359869\pi\) |
−0.904651 | + | 0.426152i | \(0.859869\pi\) | |||||||
\(678\) | 3.84327e13 | + | 2.59565e14i | 0.0103024 | + | 0.0695797i | ||||
\(679\) | 1.38705e15i | 0.368816i | ||||||||
\(680\) | −1.46163e15 | − | 3.09670e15i | −0.385512 | − | 0.816772i | ||||
\(681\) | − | 4.56942e15i | − | 1.19551i | ||||||
\(682\) | 1.70468e15 | − | 2.52405e14i | 0.442415 | − | 0.0655065i | ||||
\(683\) | 2.83214e15 | + | 2.83214e15i | 0.729124 | + | 0.729124i | 0.970445 | − | 0.241321i | \(-0.0775807\pi\) |
−0.241321 | + | 0.970445i | \(0.577581\pi\) | |||||||
\(684\) | −1.48701e15 | + | 2.77847e15i | −0.379757 | + | 0.709573i | ||||
\(685\) | 3.72728e15 | − | 3.72728e15i | 0.944264 | − | 0.944264i | ||||
\(686\) | −1.73406e15 | − | 1.28678e15i | −0.435793 | − | 0.323385i | ||||
\(687\) | −3.27029e15 | −0.815312 | ||||||||
\(688\) | 1.80414e15 | + | 3.60850e14i | 0.446205 | + | 0.0892463i | ||||
\(689\) | 9.19112e15 | 2.25508 | ||||||||
\(690\) | −2.75485e15 | − | 2.04427e15i | −0.670546 | − | 0.497586i | ||||
\(691\) | −2.15938e15 | + | 2.15938e15i | −0.521435 | + | 0.521435i | −0.918005 | − | 0.396570i | \(-0.870200\pi\) |
0.396570 | + | 0.918005i | \(0.370200\pi\) | |||||||
\(692\) | 5.32760e15 | + | 2.85128e15i | 1.27629 | + | 0.683057i | ||||
\(693\) | 7.93250e14 | + | 7.93250e14i | 0.188529 | + | 0.188529i | ||||
\(694\) | −1.10413e15 | + | 1.63484e14i | −0.260341 | + | 0.0385477i | ||||
\(695\) | 7.35925e15i | 1.72154i | ||||||||
\(696\) | 1.64498e14 | − | 4.58594e14i | 0.0381777 | − | 0.106433i | ||||
\(697\) | 2.18741e15i | 0.503675i | ||||||||
\(698\) | −3.05353e14 | − | 2.06228e15i | −0.0697586 | − | 0.471132i | ||||
\(699\) | 2.39199e15 | + | 2.39199e15i | 0.542169 | + | 0.542169i | ||||
\(700\) | 3.66388e15 | + | 1.21012e16i | 0.823953 | + | 2.72139i | ||||
\(701\) | −2.82397e14 | + | 2.82397e14i | −0.0630102 | + | 0.0630102i | −0.737910 | − | 0.674900i | \(-0.764187\pi\) |
0.674900 | + | 0.737910i | \(0.264187\pi\) | |||||||
\(702\) | 3.93523e15 | − | 5.30311e15i | 0.871196 | − | 1.17402i | ||||
\(703\) | −1.46908e15 | −0.322695 | ||||||||
\(704\) | −1.71195e14 | − | 1.76690e15i | −0.0373115 | − | 0.385090i | ||||
\(705\) | 6.62091e15 | 1.43178 | ||||||||
\(706\) | 4.34581e13 | − | 5.85641e13i | 0.00932491 | − | 0.0125662i | ||||
\(707\) | −4.11501e15 | + | 4.11501e15i | −0.876121 | + | 0.876121i | ||||
\(708\) | 2.03116e14 | + | 6.70859e14i | 0.0429102 | + | 0.141726i | ||||
\(709\) | 5.08406e15 | + | 5.08406e15i | 1.06575 | + | 1.06575i | 0.997680 | + | 0.0680718i | \(0.0216847\pi\) |
0.0680718 | + | 0.997680i | \(0.478315\pi\) | |||||||
\(710\) | 9.71067e12 | + | 6.55834e13i | 0.00201989 | + | 0.0136418i | ||||
\(711\) | − | 1.62705e14i | − | 0.0335828i | ||||||
\(712\) | −1.04970e15 | + | 2.92639e15i | −0.214993 | + | 0.599366i | ||||
\(713\) | − | 3.91668e15i | − | 0.796024i | ||||||
\(714\) | −2.05479e15 | + | 3.04244e14i | −0.414408 | + | 0.0613596i | ||||
\(715\) | −3.47759e15 | − | 3.47759e15i | −0.695978 | − | 0.695978i | ||||
\(716\) | 1.99562e15 | + | 1.06804e15i | 0.396329 | + | 0.212112i | ||||
\(717\) | 2.09573e15 | − | 2.09573e15i | 0.413029 | − | 0.413029i | ||||
\(718\) | −1.93908e15 | − | 1.43891e15i | −0.379237 | − | 0.281417i | ||||
\(719\) | −5.28231e15 | −1.02522 | −0.512608 | − | 0.858623i | \(-0.671321\pi\) | ||||
−0.512608 | + | 0.858623i | \(0.671321\pi\) | |||||||
\(720\) | 1.01418e15 | − | 5.07059e15i | 0.195337 | − | 0.976629i | ||||
\(721\) | −8.67838e14 | −0.165880 | ||||||||
\(722\) | 4.81092e15 | + | 3.56999e15i | 0.912586 | + | 0.677194i | ||||
\(723\) | 8.33084e14 | − | 8.33084e14i | 0.156830 | − | 0.156830i | ||||
\(724\) | 1.48607e15 | − | 2.77671e15i | 0.277637 | − | 0.518763i | ||||
\(725\) | −1.46144e15 | − | 1.46144e15i | −0.270970 | − | 0.270970i | ||||
\(726\) | −3.06429e15 | + | 4.53717e14i | −0.563870 | + | 0.0834898i | ||||
\(727\) | − | 1.04603e16i | − | 1.91032i | −0.296087 | − | 0.955161i | \(-0.595682\pi\) | ||
0.296087 | − | 0.955161i | \(-0.404318\pi\) | |||||||
\(728\) | 4.14532e15 | + | 8.78256e15i | 0.751339 | + | 1.59184i | ||||
\(729\) | 4.32120e15i | 0.777325i | ||||||||
\(730\) | −1.03315e14 | − | 6.97761e14i | −0.0184453 | − | 0.124575i | ||||
\(731\) | 9.06691e14 | + | 9.06691e14i | 0.160662 | + | 0.160662i | ||||
\(732\) | 5.32224e15 | − | 1.61141e15i | 0.936017 | − | 0.283397i | ||||
\(733\) | 2.63519e15 | − | 2.63519e15i | 0.459982 | − | 0.459982i | −0.438668 | − | 0.898649i | \(-0.644549\pi\) |
0.898649 | + | 0.438668i | \(0.144549\pi\) | |||||||
\(734\) | −2.59967e15 | + | 3.50331e15i | −0.450391 | + | 0.606947i | ||||
\(735\) | 3.99404e15 | 0.686803 | ||||||||
\(736\) | −4.02953e15 | − | 2.03297e14i | −0.687744 | − | 0.0346980i | ||||
\(737\) | 1.71105e15 | 0.289863 | ||||||||
\(738\) | −1.96841e15 | + | 2.65262e15i | −0.330983 | + | 0.446032i | ||||
\(739\) | 1.96675e15 | − | 1.96675e15i | 0.328250 | − | 0.328250i | −0.523671 | − | 0.851921i | \(-0.675438\pi\) |
0.851921 | + | 0.523671i | \(0.175438\pi\) | |||||||
\(740\) | 2.30716e15 | − | 6.98538e14i | 0.382211 | − | 0.115722i | ||||
\(741\) | −5.92592e15 | − | 5.92592e15i | −0.974442 | − | 0.974442i | ||||
\(742\) | −1.80078e15 | − | 1.21620e16i | −0.293927 | − | 1.98511i | ||||
\(743\) | − | 3.54440e15i | − | 0.574255i | −0.957892 | − | 0.287127i | \(-0.907300\pi\) | ||
0.957892 | − | 0.287127i | \(-0.0927003\pi\) | |||||||
\(744\) | −4.35746e15 | + | 2.05670e15i | −0.700780 | + | 0.330765i | ||||
\(745\) | 1.05394e16i | 1.68251i | ||||||||
\(746\) | 4.22729e15 | − | 6.25918e14i | 0.669883 | − | 0.0991868i | ||||
\(747\) | −1.18870e15 | − | 1.18870e15i | −0.186985 | − | 0.186985i | ||||
\(748\) | 5.83771e14 | − | 1.09077e15i | 0.0911557 | − | 0.170324i | ||||
\(749\) | −3.62914e15 | + | 3.62914e15i | −0.562541 | + | 0.562541i | ||||
\(750\) | 8.04878e15 | + | 5.97268e15i | 1.23849 | + | 0.919036i | ||||
\(751\) | −7.22921e15 | −1.10426 | −0.552130 | − | 0.833758i | \(-0.686185\pi\) | ||||
−0.552130 | + | 0.833758i | \(0.686185\pi\) | |||||||
\(752\) | 6.47920e15 | − | 4.31936e15i | 0.982479 | − | 0.654970i | ||||
\(753\) | −4.92473e15 | −0.741327 | ||||||||
\(754\) | −1.27484e15 | − | 9.46012e14i | −0.190509 | − | 0.141369i | ||||
\(755\) | −1.04496e16 | + | 1.04496e16i | −1.55021 | + | 1.55021i | ||||
\(756\) | −7.78828e15 | − | 4.16822e15i | −1.14702 | − | 0.613876i | ||||
\(757\) | 1.87506e15 | + | 1.87506e15i | 0.274150 | + | 0.274150i | 0.830768 | − | 0.556618i | \(-0.187901\pi\) |
−0.556618 | + | 0.830768i | \(0.687901\pi\) | |||||||
\(758\) | −2.51598e15 | + | 3.72530e14i | −0.365196 | + | 0.0540730i | ||||
\(759\) | − | 1.23939e15i | − | 0.178599i | ||||||
\(760\) | −1.73953e16 | − | 6.23970e15i | −2.48861 | − | 0.892665i | ||||
\(761\) | 1.29960e16i | 1.84584i | 0.384994 | + | 0.922919i | \(0.374204\pi\) | ||||
−0.384994 | + | 0.922919i | \(0.625796\pi\) | |||||||
\(762\) | −1.13988e15 | − | 7.69846e15i | −0.160733 | − | 1.08555i | ||||
\(763\) | −5.71320e15 | − | 5.71320e15i | −0.799824 | − | 0.799824i | ||||
\(764\) | −1.39827e15 | − | 4.61826e15i | −0.194347 | − | 0.641896i | ||||
\(765\) | 2.54828e15 | − | 2.54828e15i | 0.351648 | − | 0.351648i | ||||
\(766\) | 4.24476e15 | − | 5.72024e15i | 0.581561 | − | 0.783711i | ||||
\(767\) | 2.28392e15 | 0.310675 | ||||||||
\(768\) | 1.88978e15 | + | 4.58976e15i | 0.255226 | + | 0.619874i | ||||
\(769\) | 1.09185e16 | 1.46408 | 0.732042 | − | 0.681259i | \(-0.238567\pi\) | ||||
0.732042 | + | 0.681259i | \(0.238567\pi\) | |||||||
\(770\) | −3.92033e15 | + | 5.28303e15i | −0.521943 | + | 0.703370i | ||||
\(771\) | 3.22181e15 | − | 3.22181e15i | 0.425893 | − | 0.425893i | ||||
\(772\) | −3.00262e15 | − | 9.91717e15i | −0.394098 | − | 1.30164i | ||||
\(773\) | −7.36281e15 | − | 7.36281e15i | −0.959526 | − | 0.959526i | 0.0396865 | − | 0.999212i | \(-0.487364\pi\) |
−0.999212 | + | 0.0396865i | \(0.987364\pi\) | |||||||
\(774\) | 2.83610e14 | + | 1.91543e15i | 0.0366984 | + | 0.247852i | ||||
\(775\) | 2.04405e16i | 2.62622i | ||||||||
\(776\) | 2.17428e15 | + | 7.79914e14i | 0.277380 | + | 0.0994964i | ||||
\(777\) | − | 1.46227e15i | − | 0.185230i | ||||||
\(778\) | 7.37991e15 | − | 1.09271e15i | 0.928246 | − | 0.137441i | ||||
\(779\) | 8.34750e15 | + | 8.34750e15i | 1.04256 | + | 1.04256i | ||||
\(780\) | 1.21243e16 | + | 6.48879e15i | 1.50361 | + | 0.804718i | ||||
\(781\) | −1.69372e13 | + | 1.69372e13i | −0.00208574 | + | 0.00208574i | ||||
\(782\) | −2.25806e15 | − | 1.67562e15i | −0.276120 | − | 0.204898i | ||||
\(783\) | 1.44396e15 | 0.175333 | ||||||||
\(784\) | 3.90856e15 | − | 2.60564e15i | 0.471279 | − | 0.314178i | ||||
\(785\) | −2.68308e16 | −3.21255 | ||||||||
\(786\) | 1.40001e15 | + | 1.03889e15i | 0.166459 | + | 0.123523i | ||||
\(787\) | 2.03453e15 | − | 2.03453e15i | 0.240216 | − | 0.240216i | −0.576723 | − | 0.816940i | \(-0.695669\pi\) |
0.816940 | + | 0.576723i | \(0.195669\pi\) | |||||||
\(788\) | −3.12172e15 | + | 5.83291e15i | −0.366016 | + | 0.683897i | ||||
\(789\) | 4.65561e15 | + | 4.65561e15i | 0.542067 | + | 0.542067i | ||||
\(790\) | 9.43857e14 | − | 1.39753e14i | 0.109133 | − | 0.0161589i | ||||
\(791\) | − | 1.14368e15i | − | 0.131321i | ||||||
\(792\) | 1.68949e15 | − | 7.97429e14i | 0.192649 | − | 0.0909292i | ||||
\(793\) | − | 1.81194e16i | − | 2.05183i | ||||||
\(794\) | −6.50438e14 | − | 4.39290e15i | −0.0731464 | − | 0.494013i | ||||
\(795\) | −1.23099e16 | − | 1.23099e16i | −1.37478 | − | 1.37478i | ||||
\(796\) | −2.60432e15 | + | 7.88508e14i | −0.288850 | + | 0.0874549i | ||||
\(797\) | 1.65013e15 | − | 1.65013e15i | 0.181760 | − | 0.181760i | −0.610363 | − | 0.792122i | \(-0.708976\pi\) |
0.792122 | + | 0.610363i | \(0.208976\pi\) | |||||||
\(798\) | −6.68035e15 | + | 9.00244e15i | −0.730775 | + | 0.984792i | ||||
\(799\) | 5.42693e15 | 0.589585 | ||||||||
\(800\) | 2.10294e16 | + | 1.06097e15i | 2.26899 | + | 0.114475i | ||||
\(801\) | −3.27192e15 | −0.350610 | ||||||||
\(802\) | 3.31194e15 | − | 4.46317e15i | 0.352471 | − | 0.474989i | ||||
\(803\) | 1.80200e14 | − | 1.80200e14i | 0.0190466 | − | 0.0190466i | ||||
\(804\) | −4.57902e15 | + | 1.38639e15i | −0.480689 | + | 0.145538i | ||||
\(805\) | 1.05728e16 | + | 1.05728e16i | 1.10234 | + | 1.10234i | ||||
\(806\) | 2.29962e15 | + | 1.55311e16i | 0.238130 | + | 1.60827i | ||||
\(807\) | 8.90332e14i | 0.0915688i | ||||||||
\(808\) | 4.13669e15 | + | 8.76427e15i | 0.422562 | + | 0.895269i | ||||
\(809\) | − | 8.91512e15i | − | 0.904504i | −0.891890 | − | 0.452252i | \(-0.850621\pi\) | ||
0.891890 | − | 0.452252i | \(-0.149379\pi\) | |||||||
\(810\) | −2.59610e15 | + | 3.84394e14i | −0.261610 | + | 0.0387355i | ||||
\(811\) | 1.44005e15 | + | 1.44005e15i | 0.144133 | + | 0.144133i | 0.775491 | − | 0.631358i | \(-0.217502\pi\) |
−0.631358 | + | 0.775491i | \(0.717502\pi\) | |||||||
\(812\) | −1.00202e15 | + | 1.87227e15i | −0.0996137 | + | 0.186127i | ||||
\(813\) | −6.01407e15 | + | 6.01407e15i | −0.593841 | + | 0.593841i | ||||
\(814\) | 6.99389e14 | + | 5.18989e14i | 0.0685938 | + | 0.0509007i | ||||
\(815\) | 1.88563e16 | 1.83691 | ||||||||
\(816\) | −6.78452e14 | + | 3.39206e15i | −0.0656482 | + | 0.328222i | ||||
\(817\) | 6.92014e15 | 0.665110 | ||||||||
\(818\) | −2.80291e15 | − | 2.07993e15i | −0.267588 | − | 0.198566i | ||||
\(819\) | −7.22716e15 | + | 7.22716e15i | −0.685341 | + | 0.685341i | ||||
\(820\) | −1.70787e16 | − | 9.14039e15i | −1.60872 | − | 0.860971i | ||||
\(821\) | −2.49954e15 | − | 2.49954e15i | −0.233869 | − | 0.233869i | 0.580437 | − | 0.814305i | \(-0.302882\pi\) |
−0.814305 | + | 0.580437i | \(0.802882\pi\) | |||||||
\(822\) | −5.26750e15 | + | 7.79937e14i | −0.489564 | + | 0.0724878i | ||||
\(823\) | − | 7.96258e15i | − | 0.735114i | −0.930001 | − | 0.367557i | \(-0.880194\pi\) | ||
0.930001 | − | 0.367557i | \(-0.119806\pi\) | |||||||
\(824\) | −4.87969e14 | + | 1.36038e15i | −0.0447499 | + | 0.124756i | ||||
\(825\) | 6.46816e15i | 0.589229i | ||||||||
\(826\) | −4.47479e14 | − | 3.02216e15i | −0.0404933 | − | 0.273481i | ||||
\(827\) | 4.10254e15 | + | 4.10254e15i | 0.368784 | + | 0.368784i | 0.867034 | − | 0.498249i | \(-0.166024\pi\) |
−0.498249 | + | 0.867034i | \(0.666024\pi\) | |||||||
\(828\) | −1.23044e15 | − | 4.06396e15i | −0.109874 | − | 0.362896i | ||||
\(829\) | −2.13377e15 | + | 2.13377e15i | −0.189277 | + | 0.189277i | −0.795383 | − | 0.606107i | \(-0.792730\pi\) |
0.606107 | + | 0.795383i | \(0.292730\pi\) | |||||||
\(830\) | 5.87466e15 | − | 7.91669e15i | 0.517671 | − | 0.697612i | ||||
\(831\) | 5.53730e15 | 0.484722 | ||||||||
\(832\) | 1.60979e16 | − | 1.55973e15i | 1.39988 | − | 0.135635i | ||||
\(833\) | 3.27378e15 | 0.282815 | ||||||||
\(834\) | 4.43019e15 | − | 5.97012e15i | 0.380198 | − | 0.512354i | ||||
\(835\) | 1.96414e16 | − | 1.96414e16i | 1.67455 | − | 1.67455i | ||||
\(836\) | −1.93479e15 | − | 6.39031e15i | −0.163870 | − | 0.541237i | ||||
\(837\) | −1.00980e16 | − | 1.00980e16i | −0.849660 | − | 0.849660i | ||||
\(838\) | 3.47740e15 | + | 2.34855e16i | 0.290678 | + | 1.96317i | ||||
\(839\) | 1.44656e16i | 1.20128i | 0.799519 | + | 0.600641i | \(0.205088\pi\) | ||||
−0.799519 | + | 0.600641i | \(0.794912\pi\) | |||||||
\(840\) | 6.21075e15 | − | 1.73146e16i | 0.512399 | − | 1.42849i | ||||
\(841\) | 1.18534e16i | 0.971549i | ||||||||
\(842\) | −1.24728e15 | + | 1.84680e14i | −0.101566 | + | 0.0150385i | ||||
\(843\) | −2.46079e15 | − | 2.46079e15i | −0.199078 | − | 0.199078i | ||||
\(844\) | −1.99698e16 | − | 1.06876e16i | −1.60505 | − | 0.859011i | ||||
\(845\) | 1.56662e16 | − | 1.56662e16i | 1.25099 | − | 1.25099i | ||||
\(846\) | 6.58111e15 | + | 4.88358e15i | 0.522110 | + | 0.387437i | ||||
\(847\) | 1.35017e16 | 1.06422 | ||||||||
\(848\) | −2.00771e16 | − | 4.01566e15i | −1.57226 | − | 0.314471i | ||||
\(849\) | −2.29880e15 | −0.178858 | ||||||||
\(850\) | 1.17844e16 | + | 8.74473e15i | 0.910968 | + | 0.675993i | ||||
\(851\) | 1.39968e15 | − | 1.39968e15i | 0.107502 | − | 0.107502i | ||||
\(852\) | 3.16029e13 | − | 5.90497e13i | 0.00241162 | − | 0.00450609i | ||||
\(853\) | −1.03276e14 | − | 1.03276e14i | −0.00783032 | − | 0.00783032i | 0.703181 | − | 0.711011i | \(-0.251762\pi\) |
−0.711011 | + | 0.703181i | \(0.751762\pi\) | |||||||
\(854\) | −2.39763e16 | + | 3.55006e15i | −1.80619 | + | 0.267435i | ||||
\(855\) | − | 1.94492e16i | − | 1.45576i | ||||||
\(856\) | 3.64826e15 | + | 7.72945e15i | 0.271319 | + | 0.574835i | ||||
\(857\) | − | 4.13417e14i | − | 0.0305488i | −0.999883 | − | 0.0152744i | \(-0.995138\pi\) | ||
0.999883 | − | 0.0152744i | \(-0.00486218\pi\) | |||||||
\(858\) | 7.27691e14 | + | 4.91464e15i | 0.0534277 | + | 0.360838i | ||||
\(859\) | 1.18177e16 | + | 1.18177e16i | 0.862124 | + | 0.862124i | 0.991585 | − | 0.129461i | \(-0.0413247\pi\) |
−0.129461 | + | 0.991585i | \(0.541325\pi\) | |||||||
\(860\) | −1.08679e16 | + | 3.29047e15i | −0.787780 | + | 0.238516i | ||||
\(861\) | −8.30878e15 | + | 8.30878e15i | −0.598439 | + | 0.598439i | ||||
\(862\) | −2.25745e15 | + | 3.04214e15i | −0.161558 | + | 0.217715i | ||||
\(863\) | 2.93105e15 | 0.208432 | 0.104216 | − | 0.994555i | \(-0.466767\pi\) | ||||
0.104216 | + | 0.994555i | \(0.466767\pi\) | |||||||
\(864\) | −1.09131e16 | + | 9.86481e15i | −0.771120 | + | 0.697049i | ||||
\(865\) | −3.72930e16 | −2.61842 | ||||||||
\(866\) | −1.06671e16 | + | 1.43749e16i | −0.744212 | + | 1.00290i | ||||
\(867\) | 5.13281e15 | − | 5.13281e15i | 0.355836 | − | 0.355836i | ||||
\(868\) | 2.01007e16 | − | 6.08589e15i | 1.38469 | − | 0.419243i | ||||
\(869\) | 2.43755e14 | + | 2.43755e14i | 0.0166857 | + | 0.0166857i | ||||
\(870\) | 4.40413e14 | + | 2.97444e15i | 0.0299574 | + | 0.202325i | ||||
\(871\) | 1.55891e16i | 1.05371i | ||||||||
\(872\) | −1.21681e16 | + | 5.74330e15i | −0.817304 | + | 0.385763i | ||||
\(873\) | 2.43100e15i | 0.162258i | ||||||||
\(874\) | −1.50115e16 | + | 2.22269e15i | −0.995660 | + | 0.147423i | ||||
\(875\) | −3.08904e16 | − | 3.08904e16i | −2.03600 | − | 2.03600i | ||||
\(876\) | −3.36232e14 | + | 6.28247e14i | −0.0220225 | + | 0.0411489i | ||||
\(877\) | 1.13600e16 | − | 1.13600e16i | 0.739402 | − | 0.739402i | −0.233060 | − | 0.972462i | \(-0.574874\pi\) |
0.972462 | + | 0.233060i | \(0.0748740\pi\) | |||||||
\(878\) | 1.80169e16 | + | 1.33697e16i | 1.16536 | + | 0.864770i | ||||
\(879\) | 1.45717e16 | 0.936640 | ||||||||
\(880\) | 6.07708e15 | + | 9.11585e15i | 0.388187 | + | 0.582294i | ||||
\(881\) | 1.42576e16 | 0.905062 | 0.452531 | − | 0.891749i | \(-0.350521\pi\) | ||||
0.452531 | + | 0.891749i | \(0.350521\pi\) | |||||||
\(882\) | 3.97003e15 | + | 2.94600e15i | 0.250448 | + | 0.185847i | ||||
\(883\) | −1.57729e16 | + | 1.57729e16i | −0.988842 | + | 0.988842i | −0.999938 | − | 0.0110969i | \(-0.996468\pi\) |
0.0110969 | + | 0.999938i | \(0.496468\pi\) | |||||||
\(884\) | 9.93783e15 | + | 5.31864e15i | 0.619162 | + | 0.331370i | ||||
\(885\) | −3.05890e15 | − | 3.05890e15i | −0.189399 | − | 0.189399i | ||||
\(886\) | −6.00068e15 | + | 8.88496e14i | −0.369245 | + | 0.0546726i | ||||
\(887\) | − | 1.79870e16i | − | 1.09997i | −0.835175 | − | 0.549984i | \(-0.814634\pi\) | ||
0.835175 | − | 0.549984i | \(-0.185366\pi\) | |||||||
\(888\) | −2.29218e15 | − | 8.22205e14i | −0.139308 | − | 0.0499699i | ||||
\(889\) | 3.39206e16i | 2.04882i | ||||||||
\(890\) | −2.81037e15 | − | 1.89806e16i | −0.168701 | − | 1.13937i | ||||
\(891\) | −6.70453e14 | − | 6.70453e14i | −0.0399983 | − | 0.0399983i | ||||
\(892\) | −8.63291e15 | − | 2.85132e16i | −0.511859 | − | 1.69059i | ||||
\(893\) | 2.07100e16 | − | 2.07100e16i | 1.22038 | − | 1.22038i | ||||
\(894\) | 6.34462e15 | − | 8.55000e15i | 0.371577 | − | 0.500737i | ||||
\(895\) | −1.39693e16 | −0.813106 | ||||||||
\(896\) | −5.21790e15 | − | 2.09958e16i | −0.301857 | − | 1.21461i | ||||
\(897\) | 1.12919e16 | 0.649245 | ||||||||
\(898\) | 8.12343e15 | − | 1.09471e16i | 0.464216 | − | 0.625577i | ||||
\(899\) | −2.42752e15 | + | 2.42752e15i | −0.137874 | + | 0.137874i | ||||
\(900\) | 6.42145e15 | + | 2.12090e16i | 0.362493 | + | 1.19726i | ||||
\(901\) | −1.00900e16 | − | 1.00900e16i | −0.566113 | − | 0.566113i | ||||
\(902\) | −1.02506e15 | − | 6.92297e15i | −0.0571625 | − | 0.386062i | ||||
\(903\) | 6.88804e15i | 0.381780i | ||||||||
\(904\) | −1.79278e15 | − | 6.43070e14i | −0.0987643 | − | 0.0354268i | ||||
\(905\) | 1.94369e16i | 1.06429i | ||||||||
\(906\) | 1.47677e16 | − | 2.18659e15i | 0.803724 | − | 0.119004i | ||||
\(907\) | 1.21117e15 | + | 1.21117e15i | 0.0655186 | + | 0.0655186i | 0.739107 | − | 0.673588i | \(-0.235248\pi\) |
−0.673588 | + | 0.739107i | \(0.735248\pi\) | |||||||
\(908\) | 2.92430e16 | + | 1.56506e16i | 1.57235 | + | 0.841509i | ||||
\(909\) | −7.21212e15 | + | 7.21212e15i | −0.385444 | + | 0.385444i | ||||
\(910\) | −4.81328e16 | − | 3.57174e16i | −2.55690 | − | 1.89737i | ||||
\(911\) | −2.23895e16 | −1.18221 | −0.591104 | − | 0.806595i | \(-0.701308\pi\) | ||||
−0.591104 | + | 0.806595i | \(0.701308\pi\) | |||||||
\(912\) | 1.03555e16 | + | 1.55337e16i | 0.543502 | + | 0.815273i | ||||
\(913\) | 3.56167e15 | 0.185808 | ||||||||
\(914\) | −3.64184e15 | − | 2.70247e15i | −0.188850 | − | 0.140138i | ||||
\(915\) | −2.42677e16 | + | 2.42677e16i | −1.25087 | + | 1.25087i | ||||
\(916\) | 1.12010e16 | − | 2.09289e16i | 0.573893 | − | 1.07231i | ||||
\(917\) | −5.37310e15 | − | 5.37310e15i | −0.273649 | − | 0.273649i | ||||
\(918\) | −1.01418e16 | + | 1.50165e15i | −0.513429 | + | 0.0760213i | ||||
\(919\) | 2.32306e16i | 1.16903i | 0.811384 | + | 0.584514i | \(0.198715\pi\) | ||||
−0.811384 | + | 0.584514i | \(0.801285\pi\) | |||||||
\(920\) | 2.25183e16 | − | 1.06285e16i | 1.12643 | − | 0.531668i | ||||
\(921\) | − | 1.54075e16i | − | 0.766135i | ||||||
\(922\) | 3.66420e15 | + | 2.47471e16i | 0.181117 | + | 1.22322i | ||||
\(923\) | −1.54312e14 | − | 1.54312e14i | −0.00758211 | − | 0.00758211i | ||||
\(924\) | 6.36066e15 | − | 1.92581e15i | 0.310675 | − | 0.0940629i | ||||
\(925\) | −7.30465e15 | + | 7.30465e15i | −0.354666 | + | 0.354666i | ||||
\(926\) | 1.91605e15 | − | 2.58207e15i | 0.0924799 | − | 0.124626i | ||||
\(927\) | −1.52100e15 | −0.0729780 | ||||||||
\(928\) | 2.37146e15 | + | 2.62346e15i | 0.113110 | + | 0.125130i | ||||
\(929\) | −1.44121e16 | −0.683345 | −0.341673 | − | 0.939819i | \(-0.610993\pi\) | ||||
−0.341673 | + | 0.939819i | \(0.610993\pi\) | |||||||
\(930\) | 1.77212e16 | − | 2.38810e16i | 0.835288 | − | 1.12563i | ||||
\(931\) | 1.24932e16 | − | 1.24932e16i | 0.585399 | − | 0.585399i | ||||
\(932\) | −2.35008e16 | + | 7.11532e15i | −1.09470 | + | 0.331442i | ||||
\(933\) | 4.41411e15 | + | 4.41411e15i | 0.204406 | + | 0.204406i | ||||
\(934\) | −4.61447e15 | − | 3.11650e16i | −0.212429 | − | 1.43469i | ||||
\(935\) | 7.63537e15i | 0.349435i | ||||||||
\(936\) | 7.26524e15 | + | 1.53926e16i | 0.330547 | + | 0.700319i | ||||
\(937\) | − | 2.81562e16i | − | 1.27352i | −0.771061 | − | 0.636762i | \(-0.780273\pi\) | ||
0.771061 | − | 0.636762i | \(-0.219727\pi\) | |||||||
\(938\) | 2.06281e16 | − | 3.05432e15i | 0.927564 | − | 0.137341i | ||||
\(939\) | 9.80877e15 | + | 9.80877e15i | 0.438484 | + | 0.438484i | ||||
\(940\) | −2.26771e16 | + | 4.23720e16i | −1.00782 | + | 1.88311i | ||||
\(941\) | −6.14074e15 | + | 6.14074e15i | −0.271318 | + | 0.271318i | −0.829631 | − | 0.558313i | \(-0.811449\pi\) |
0.558313 | + | 0.829631i | \(0.311449\pi\) | |||||||
\(942\) | 2.17662e16 | + | 1.61519e16i | 0.956101 | + | 0.709484i | ||||
\(943\) | −1.59062e16 | −0.694630 | ||||||||
\(944\) | −4.98900e15 | − | 9.97859e14i | −0.216605 | − | 0.0433235i | ||||
\(945\) | 5.45178e16 | 2.35322 | ||||||||
\(946\) | −3.29448e15 | − | 2.44471e15i | −0.141379 | − | 0.104912i | ||||
\(947\) | 1.03061e16 | − | 1.03061e16i | 0.439714 | − | 0.439714i | −0.452202 | − | 0.891916i | \(-0.649361\pi\) |
0.891916 | + | 0.452202i | \(0.149361\pi\) | |||||||
\(948\) | −8.49826e14 | − | 4.54819e14i | −0.0360482 | − | 0.0192927i | ||||
\(949\) | 1.64177e15 | + | 1.64177e15i | 0.0692385 | + | 0.0692385i | ||||
\(950\) | 7.83422e16 | − | 1.15998e16i | 3.28485 | − | 0.486375i | ||||
\(951\) | − | 9.98022e15i | − | 0.416052i | ||||||
\(952\) | 5.09074e15 | − | 1.41922e16i | 0.210998 | − | 0.588228i | ||||
\(953\) | − | 9.28274e15i | − | 0.382530i | −0.981538 | − | 0.191265i | \(-0.938741\pi\) | ||
0.981538 | − | 0.191265i | \(-0.0612589\pi\) | |||||||
\(954\) | −3.15611e15 | − | 2.13156e16i | −0.129311 | − | 0.873337i | ||||
\(955\) | 2.10578e16 | + | 2.10578e16i | 0.857815 | + | 0.857815i | ||||
\(956\) | 6.23407e15 | + | 2.05902e16i | 0.252495 | + | 0.833953i | ||||
\(957\) | −7.68161e14 | + | 7.68161e14i | −0.0309340 | + | 0.0309340i | ||||
\(958\) | −2.83692e16 | + | 3.82303e16i | −1.13589 | + | 1.53072i | ||||
\(959\) | 2.32094e16 | 0.923979 | ||||||||
\(960\) | −2.36493e16 | − | 1.94713e16i | −0.936108 | − | 0.770732i | ||||
\(961\) | 8.54412e15 | 0.336271 | ||||||||
\(962\) | −4.72842e15 | + | 6.37202e15i | −0.185035 | + | 0.249353i | ||||
\(963\) | −6.36056e15 | + | 6.36056e15i | −0.247486 | + | 0.247486i | ||||
\(964\) | 2.47813e15 | + | 8.18489e15i | 0.0958740 | + | 0.316657i | ||||
\(965\) | 4.52191e16 | + | 4.52191e16i | 1.73949 | + | 1.73949i | ||||
\(966\) | −2.21238e15 | − | 1.49419e16i | −0.0846224 | − | 0.571518i | ||||
\(967\) | 1.09617e16i | 0.416901i | 0.978033 | + | 0.208451i | \(0.0668421\pi\) | ||||
−0.978033 | + | 0.208451i | \(0.933158\pi\) | |||||||
\(968\) | 7.59177e15 | − | 2.11646e16i | 0.287097 | − | 0.800380i | ||||
\(969\) | 1.30109e16i | 0.489245i | ||||||||
\(970\) | −1.41023e16 | + | 2.08808e15i | −0.527287 | + | 0.0780732i | ||||
\(971\) | −2.45150e16 | − | 2.45150e16i | −0.911436 | − | 0.911436i | 0.0849489 | − | 0.996385i | \(-0.472927\pi\) |
−0.996385 | + | 0.0849489i | \(0.972927\pi\) | |||||||
\(972\) | −2.24530e16 | − | 1.20166e16i | −0.830061 | − | 0.444241i | ||||
\(973\) | −2.29127e16 | + | 2.29127e16i | −0.842278 | + | 0.842278i | ||||
\(974\) | 6.37984e15 | + | 4.73423e15i | 0.233204 | + | 0.173051i | ||||
\(975\) | −5.89303e16 | −2.14197 | ||||||||
\(976\) | −7.91649e15 | + | 3.95801e16i | −0.286127 | + | 1.43055i | ||||
\(977\) | −3.81818e16 | −1.37226 | −0.686130 | − | 0.727479i | \(-0.740692\pi\) | ||||
−0.686130 | + | 0.727479i | \(0.740692\pi\) | |||||||
\(978\) | −1.52970e16 | − | 1.13513e16i | −0.546691 | − | 0.405678i | ||||
\(979\) | 4.90181e15 | − | 4.90181e15i | 0.174201 | − | 0.174201i | ||||
\(980\) | −1.36799e16 | + | 2.55608e16i | −0.483437 | + | 0.903297i | ||||
\(981\) | −1.00132e16 | − | 1.00132e16i | −0.351877 | − | 0.351877i | ||||
\(982\) | 2.47522e16 | − | 3.66495e15i | 0.864968 | − | 0.128072i | ||||
\(983\) | − | 2.94742e16i | − | 1.02423i | −0.858917 | − | 0.512115i | \(-0.828862\pi\) | ||
0.858917 | − | 0.512115i | \(-0.171138\pi\) | |||||||
\(984\) | 8.35255e15 | + | 1.76963e16i | 0.288633 | + | 0.611518i | ||||
\(985\) | − | 4.08302e16i | − | 1.40308i | ||||||
\(986\) | 3.60991e14 | + | 2.43804e15i | 0.0123360 | + | 0.0833141i | ||||
\(987\) | 2.06139e16 | + | 2.06139e16i | 0.700512 | + | 0.700512i | ||||
\(988\) | 5.82210e16 | − | 1.76275e16i | 1.96751 | − | 0.595701i | ||||
\(989\) | −6.59319e15 | + | 6.59319e15i | −0.221573 | + | 0.221573i | ||||
\(990\) | −6.87090e15 | + | 9.25923e15i | −0.229626 | + | 0.309443i | ||||
\(991\) | 2.13654e15 | 0.0710077 | 0.0355038 | − | 0.999370i | \(-0.488696\pi\) | ||||
0.0355038 | + | 0.999370i | \(0.488696\pi\) | |||||||
\(992\) | 1.76233e15 | − | 3.49309e16i | 0.0582468 | − | 1.15450i | ||||
\(993\) | −2.45736e16 | −0.807696 | ||||||||
\(994\) | −1.73957e14 | + | 2.34425e14i | −0.00568614 | + | 0.00766264i | ||||
\(995\) | 1.18748e16 | − | 1.18748e16i | 0.386012 | − | 0.386012i | ||||
\(996\) | −9.53154e15 | + | 2.88586e15i | −0.308132 | + | 0.0932929i | ||||
\(997\) | 2.64209e16 | + | 2.64209e16i | 0.849423 | + | 0.849423i | 0.990061 | − | 0.140638i | \(-0.0449154\pi\) |
−0.140638 | + | 0.990061i | \(0.544915\pi\) | |||||||
\(998\) | −4.36558e15 | − | 2.94841e16i | −0.139580 | − | 0.942691i | ||||
\(999\) | − | 7.21729e15i | − | 0.229490i |
(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.5.8 | ✓ | 42 | |
4.3 | odd | 2 | 64.12.e.a.49.15 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.97.7 | 42 | |||
8.5 | even | 2 | 128.12.e.b.97.15 | 42 | |||
16.3 | odd | 4 | 64.12.e.a.17.15 | 42 | |||
16.5 | even | 4 | 128.12.e.b.33.15 | 42 | |||
16.11 | odd | 4 | 128.12.e.a.33.7 | 42 | |||
16.13 | even | 4 | inner | 16.12.e.a.13.8 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.8 | ✓ | 42 | 1.1 | even | 1 | trivial | |
16.12.e.a.13.8 | yes | 42 | 16.13 | even | 4 | inner | |
64.12.e.a.17.15 | 42 | 16.3 | odd | 4 | |||
64.12.e.a.49.15 | 42 | 4.3 | odd | 2 | |||
128.12.e.a.33.7 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.97.7 | 42 | 8.3 | odd | 2 | |||
128.12.e.b.33.15 | 42 | 16.5 | even | 4 | |||
128.12.e.b.97.15 | 42 | 8.5 | even | 2 |