Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,20,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, 20, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 20);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 20 \) |
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: | \(27.4580035868\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.3 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.20.b.a.11.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −706.401 | − | 159.015i | −0.975588 | − | 0.219610i | ||||
\(3\) | −32549.6 | − | 10138.3i | −0.954759 | − | 0.297381i | ||||
\(4\) | 473717. | + | 224656.i | 0.903543 | + | 0.428497i | ||||
\(5\) | 5.54418e6i | 1.26947i | 0.772730 | + | 0.634735i | \(0.218891\pi\) | ||||
−0.772730 | + | 0.634735i | \(0.781109\pi\) | |||||||
\(6\) | 2.13809e7 | + | 1.23376e7i | 0.866143 | + | 0.499795i | ||||
\(7\) | 1.49965e8i | 1.40462i | 0.711870 | + | 0.702312i | \(0.247849\pi\) | ||||
−0.711870 | + | 0.702312i | \(0.752151\pi\) | |||||||
\(8\) | −2.98910e8 | − | 2.34025e8i | −0.787383 | − | 0.616464i | ||||
\(9\) | 9.56692e8 | + | 6.59995e8i | 0.823129 | + | 0.567854i | ||||
\(10\) | 8.81605e8 | − | 3.91641e9i | 0.278788 | − | 1.23848i | ||||
\(11\) | −2.49508e6 | −0.000319046 | −0.000159523 | − | 1.00000i | \(-0.500051\pi\) | ||||
−0.000159523 | 1.00000i | \(0.500051\pi\) | ||||||||
\(12\) | −1.31417e10 | − | 1.21151e10i | −0.735239 | − | 0.677808i | ||||
\(13\) | 4.88082e10 | 1.27653 | 0.638265 | − | 0.769816i | \(-0.279652\pi\) | ||||
0.638265 | + | 0.769816i | \(0.279652\pi\) | |||||||
\(14\) | 2.38467e10 | − | 1.05936e11i | 0.308469 | − | 1.37033i | ||||
\(15\) | 5.62085e10 | − | 1.80461e11i | 0.377516 | − | 1.21204i | ||||
\(16\) | 1.73937e11 | + | 2.12847e11i | 0.632780 | + | 0.774332i | ||||
\(17\) | 4.51471e11i | 0.923347i | 0.887050 | + | 0.461673i | \(0.152751\pi\) | ||||
−0.887050 | + | 0.461673i | \(0.847249\pi\) | |||||||
\(18\) | −5.70859e11 | − | 6.18349e11i | −0.678329 | − | 0.734759i | ||||
\(19\) | − | 6.03024e11i | − | 0.428722i | −0.976755 | − | 0.214361i | \(-0.931233\pi\) | ||
0.976755 | − | 0.214361i | \(-0.0687669\pi\) | |||||||
\(20\) | −1.24553e12 | + | 2.62637e12i | −0.543964 | + | 1.14702i | ||||
\(21\) | 1.52039e12 | − | 4.88132e12i | 0.417708 | − | 1.34108i | ||||
\(22\) | 1.76253e9 | + | 3.96754e8i | 0.000311258 | + | 7.00657e-5i | ||||
\(23\) | 7.40098e12 | 0.856791 | 0.428395 | − | 0.903591i | \(-0.359079\pi\) | ||||
0.428395 | + | 0.903591i | \(0.359079\pi\) | |||||||
\(24\) | 7.35680e12 | + | 1.06479e13i | 0.568437 | + | 0.822727i | ||||
\(25\) | −1.16644e13 | −0.611552 | ||||||||
\(26\) | −3.44782e13 | − | 7.76122e12i | −1.24537 | − | 0.280339i | ||||
\(27\) | −2.44487e13 | − | 3.11818e13i | −0.617021 | − | 0.786946i | ||||
\(28\) | −3.36906e13 | + | 7.10412e13i | −0.601877 | + | 1.26914i | ||||
\(29\) | 1.10755e14i | 1.41770i | 0.705362 | + | 0.708848i | \(0.250785\pi\) | ||||
−0.705362 | + | 0.708848i | \(0.749215\pi\) | |||||||
\(30\) | −6.84016e13 | + | 1.18540e14i | −0.634475 | + | 1.09954i | ||||
\(31\) | 2.18703e14i | 1.48566i | 0.669481 | + | 0.742829i | \(0.266517\pi\) | ||||
−0.669481 | + | 0.742829i | \(0.733483\pi\) | |||||||
\(32\) | −8.90238e13 | − | 1.78014e14i | −0.447282 | − | 0.894393i | ||||
\(33\) | 8.12138e10 | + | 2.52958e10i | 0.000304612 | + | 9.48782e-5i | ||||
\(34\) | 7.17904e13 | − | 3.18919e14i | 0.202776 | − | 0.900806i | ||||
\(35\) | −8.31435e14 | −1.78313 | ||||||||
\(36\) | 3.04929e14 | + | 5.27577e14i | 0.500409 | + | 0.865789i | ||||
\(37\) | 4.99785e14 | 0.632218 | 0.316109 | − | 0.948723i | \(-0.397623\pi\) | ||||
0.316109 | + | 0.948723i | \(0.397623\pi\) | |||||||
\(38\) | −9.58896e13 | + | 4.25977e14i | −0.0941515 | + | 0.418256i | ||||
\(39\) | −1.58869e15 | − | 4.94832e14i | −1.21878 | − | 0.379616i | ||||
\(40\) | 1.29748e15 | − | 1.65721e15i | 0.782582 | − | 0.999559i | ||||
\(41\) | 1.26797e13i | 0.00604869i | 0.999995 | + | 0.00302435i | \(0.000962681\pi\) | ||||
−0.999995 | + | 0.00302435i | \(0.999037\pi\) | |||||||
\(42\) | −1.85021e15 | + | 3.20640e15i | −0.702024 | + | 1.21661i | ||||
\(43\) | 3.26952e15i | 0.992050i | 0.868308 | + | 0.496025i | \(0.165208\pi\) | ||||
−0.868308 | + | 0.496025i | \(0.834792\pi\) | |||||||
\(44\) | −1.18196e12 | − | 5.60534e11i | −0.000288272 | − | 0.000136710i | ||||
\(45\) | −3.65913e15 | + | 5.30407e15i | −0.720873 | + | 1.04494i | ||||
\(46\) | −5.22806e15 | − | 1.17686e15i | −0.835874 | − | 0.188160i | ||||
\(47\) | 1.12738e16 | 1.46940 | 0.734702 | − | 0.678390i | \(-0.237322\pi\) | ||||
0.734702 | + | 0.678390i | \(0.237322\pi\) | |||||||
\(48\) | −3.50369e15 | − | 8.69150e15i | −0.373881 | − | 0.927477i | ||||
\(49\) | −1.10907e16 | −0.972967 | ||||||||
\(50\) | 8.23976e15 | + | 1.85481e15i | 0.596622 | + | 0.134303i | ||||
\(51\) | 4.57714e15 | − | 1.46952e16i | 0.274586 | − | 0.881574i | ||||
\(52\) | 2.31213e16 | + | 1.09651e16i | 1.15340 | + | 0.546990i | ||||
\(53\) | − | 3.23098e16i | − | 1.34497i | −0.740109 | − | 0.672487i | \(-0.765226\pi\) | ||
0.740109 | − | 0.672487i | \(-0.234774\pi\) | |||||||
\(54\) | 1.23122e16 | + | 2.59145e16i | 0.429137 | + | 0.903239i | ||||
\(55\) | − | 1.38332e13i | − | 0.000405019i | ||||||
\(56\) | 3.50957e16 | − | 4.48262e16i | 0.865899 | − | 1.10598i | ||||
\(57\) | −6.11364e15 | + | 1.96282e16i | −0.127494 | + | 0.409326i | ||||
\(58\) | 1.76117e16 | − | 7.82375e16i | 0.311340 | − | 1.38309i | ||||
\(59\) | 6.67474e16 | 1.00309 | 0.501545 | − | 0.865132i | \(-0.332765\pi\) | ||||
0.501545 | + | 0.865132i | \(0.332765\pi\) | |||||||
\(60\) | 6.71685e16 | − | 7.28597e16i | 0.860456 | − | 0.933363i | ||||
\(61\) | −1.62842e17 | −1.78293 | −0.891464 | − | 0.453091i | \(-0.850321\pi\) | ||||
−0.891464 | + | 0.453091i | \(0.850321\pi\) | |||||||
\(62\) | 3.47770e16 | − | 1.54492e17i | 0.326265 | − | 1.44939i | ||||
\(63\) | −9.89764e16 | + | 1.43471e17i | −0.797621 | + | 1.15619i | ||||
\(64\) | 3.45797e16 | + | 1.39905e17i | 0.239945 | + | 0.970786i | ||||
\(65\) | 2.70602e17i | 1.62052i | ||||||||
\(66\) | −5.33471e13 | − | 3.07832e13i | −0.000276340 | − | 0.000159458i | ||||
\(67\) | 4.88693e15i | 0.0219445i | 0.999940 | + | 0.0109723i | \(0.00349265\pi\) | ||||
−0.999940 | + | 0.0109723i | \(0.996507\pi\) | |||||||
\(68\) | −1.01426e17 | + | 2.13869e17i | −0.395652 | + | 0.834284i | ||||
\(69\) | −2.40899e17 | − | 7.50333e16i | −0.818028 | − | 0.254793i | ||||
\(70\) | 5.87327e17 | + | 1.32210e17i | 1.73960 | + | 0.391592i | ||||
\(71\) | −2.98345e17 | −0.772261 | −0.386131 | − | 0.922444i | \(-0.626189\pi\) | ||||
−0.386131 | + | 0.922444i | \(0.626189\pi\) | |||||||
\(72\) | −1.31510e17 | − | 4.21169e17i | −0.298057 | − | 0.954548i | ||||
\(73\) | −9.07454e17 | −1.80409 | −0.902044 | − | 0.431645i | \(-0.857933\pi\) | ||||
−0.902044 | + | 0.431645i | \(0.857933\pi\) | |||||||
\(74\) | −3.53049e17 | − | 7.94731e16i | −0.616784 | − | 0.138841i | ||||
\(75\) | 3.79672e17 | + | 1.18257e17i | 0.583885 | + | 0.181864i | ||||
\(76\) | 1.35473e17 | − | 2.85663e17i | 0.183706 | − | 0.387369i | ||||
\(77\) | − | 3.74176e14i | − | 0.000448140i | ||||||
\(78\) | 1.04357e18 | + | 6.02175e17i | 1.10566 | + | 0.638004i | ||||
\(79\) | 3.92004e17i | 0.367987i | 0.982927 | + | 0.183994i | \(0.0589026\pi\) | ||||
−0.982927 | + | 0.183994i | \(0.941097\pi\) | |||||||
\(80\) | −1.18006e18 | + | 9.64339e17i | −0.982990 | + | 0.803295i | ||||
\(81\) | 4.79666e17 | + | 1.26282e18i | 0.355084 | + | 0.934834i | ||||
\(82\) | 2.01625e15 | − | 8.95693e15i | 0.00132835 | − | 0.00590103i | ||||
\(83\) | −8.04463e17 | −0.472350 | −0.236175 | − | 0.971711i | \(-0.575894\pi\) | ||||
−0.236175 | + | 0.971711i | \(0.575894\pi\) | |||||||
\(84\) | 1.81685e18 | − | 1.97080e18i | 0.952065 | − | 1.03273i | ||||
\(85\) | −2.50303e18 | −1.17216 | ||||||||
\(86\) | 5.19901e17 | − | 2.30959e18i | 0.217864 | − | 0.967832i | ||||
\(87\) | 1.12287e18 | − | 3.60503e18i | 0.421595 | − | 1.35356i | ||||
\(88\) | 7.45805e14 | + | 5.83911e14i | 0.000251212 | + | 0.000196680i | ||||
\(89\) | 1.37583e18i | 0.416255i | 0.978102 | + | 0.208127i | \(0.0667368\pi\) | ||||
−0.978102 | + | 0.208127i | \(0.933263\pi\) | |||||||
\(90\) | 3.42824e18 | − | 3.16494e18i | 0.932753 | − | 0.861117i | ||||
\(91\) | 7.31955e18i | 1.79305i | ||||||||
\(92\) | 3.50597e18 | + | 1.66267e18i | 0.774147 | + | 0.367132i | ||||
\(93\) | 2.21728e18 | − | 7.11870e18i | 0.441806 | − | 1.41845i | ||||
\(94\) | −7.96384e18 | − | 1.79270e18i | −1.43353 | − | 0.322696i | ||||
\(95\) | 3.34327e18 | 0.544249 | ||||||||
\(96\) | 1.09293e18 | + | 6.69682e18i | 0.161071 | + | 0.986943i | ||||
\(97\) | −1.68560e18 | −0.225125 | −0.112562 | − | 0.993645i | \(-0.535906\pi\) | ||||
−0.112562 | + | 0.993645i | \(0.535906\pi\) | |||||||
\(98\) | 7.83452e18 | + | 1.76359e18i | 0.949215 | + | 0.213673i | ||||
\(99\) | −2.38702e15 | − | 1.64674e15i | −0.000262616 | − | 0.000181172i | ||||
\(100\) | −5.52563e18 | − | 2.62048e18i | −0.552563 | − | 0.262048i | ||||
\(101\) | − | 2.15370e18i | − | 0.195944i | −0.995189 | − | 0.0979722i | \(-0.968764\pi\) | ||
0.995189 | − | 0.0979722i | \(-0.0312356\pi\) | |||||||
\(102\) | −5.57005e18 | + | 9.65287e18i | −0.461485 | + | 0.799751i | ||||
\(103\) | − | 2.29597e19i | − | 1.73385i | −0.498438 | − | 0.866926i | \(-0.666093\pi\) | ||
0.498438 | − | 0.866926i | \(-0.333907\pi\) | |||||||
\(104\) | −1.45893e19 | − | 1.14224e19i | −1.00512 | − | 0.786935i | ||||
\(105\) | 2.70629e19 | + | 8.42933e18i | 1.70246 | + | 0.530267i | ||||
\(106\) | −5.13773e18 | + | 2.28237e19i | −0.295370 | + | 1.31214i | ||||
\(107\) | 5.85665e18 | 0.307967 | 0.153983 | − | 0.988073i | \(-0.450790\pi\) | ||||
0.153983 | + | 0.988073i | \(0.450790\pi\) | |||||||
\(108\) | −4.57659e18 | − | 2.02639e19i | −0.220301 | − | 0.975432i | ||||
\(109\) | 2.20095e19 | 0.970641 | 0.485321 | − | 0.874336i | \(-0.338703\pi\) | ||||
0.485321 | + | 0.874336i | \(0.338703\pi\) | |||||||
\(110\) | −2.19967e15 | + | 9.77176e15i | −8.89462e−5 | + | 0.000395132i | ||||
\(111\) | −1.62678e19 | − | 5.06697e18i | −0.603616 | − | 0.188009i | ||||
\(112\) | −3.19196e19 | + | 2.60846e19i | −1.08764 | + | 0.888818i | ||||
\(113\) | − | 3.71474e19i | − | 1.16328i | −0.813447 | − | 0.581639i | \(-0.802412\pi\) | ||
0.813447 | − | 0.581639i | \(-0.197588\pi\) | |||||||
\(114\) | 7.43985e18 | − | 1.28932e19i | 0.214273 | − | 0.371335i | ||||
\(115\) | 4.10323e19i | 1.08767i | ||||||||
\(116\) | −2.48818e19 | + | 5.24666e19i | −0.607479 | + | 1.28095i | ||||
\(117\) | 4.66944e19 | + | 3.22132e19i | 1.05075 | + | 0.724883i | ||||
\(118\) | −4.71504e19 | − | 1.06138e19i | −0.978603 | − | 0.220288i | ||||
\(119\) | −6.77050e19 | −1.29695 | ||||||||
\(120\) | −5.90337e19 | + | 4.07874e19i | −1.04443 | + | 0.721613i | ||||
\(121\) | −6.11591e19 | −1.00000 | ||||||||
\(122\) | 1.15032e20 | + | 2.58943e19i | 1.73940 | + | 0.391549i | ||||
\(123\) | 1.28550e17 | − | 4.12718e17i | 0.00179876 | − | 0.00577504i | ||||
\(124\) | −4.91330e19 | + | 1.03603e20i | −0.636601 | + | 1.34236i | ||||
\(125\) | 4.10772e19i | 0.493123i | ||||||||
\(126\) | 9.27310e19 | − | 8.56092e19i | 1.03206 | − | 0.952796i | ||||
\(127\) | − | 7.81349e18i | − | 0.0806695i | −0.999186 | − | 0.0403348i | \(-0.987158\pi\) | ||
0.999186 | − | 0.0403348i | \(-0.0128424\pi\) | |||||||
\(128\) | −2.18021e18 | − | 1.04328e20i | −0.0208932 | − | 0.999782i | ||||
\(129\) | 3.31473e19 | − | 1.06422e20i | 0.295016 | − | 0.947168i | ||||
\(130\) | 4.30296e19 | − | 1.91153e20i | 0.355881 | − | 1.58096i | ||||
\(131\) | 8.54542e19 | 0.657138 | 0.328569 | − | 0.944480i | \(-0.393434\pi\) | ||||
0.328569 | + | 0.944480i | \(0.393434\pi\) | |||||||
\(132\) | 3.27895e16 | + | 3.02282e16i | 0.000234575 | + | 0.000216252i | ||||
\(133\) | 9.04328e19 | 0.602193 | ||||||||
\(134\) | 7.77093e17 | − | 3.45213e18i | 0.00481923 | − | 0.0214088i | ||||
\(135\) | 1.72877e20 | − | 1.35548e20i | 0.999004 | − | 0.783289i | ||||
\(136\) | 1.05655e20 | − | 1.34949e20i | 0.569210 | − | 0.727028i | ||||
\(137\) | 1.34424e20i | 0.675512i | 0.941234 | + | 0.337756i | \(0.109668\pi\) | ||||
−0.941234 | + | 0.337756i | \(0.890332\pi\) | |||||||
\(138\) | 1.58240e20 | + | 9.13100e19i | 0.742104 | + | 0.428220i | ||||
\(139\) | 3.67041e19i | 0.160722i | 0.996766 | + | 0.0803608i | \(0.0256073\pi\) | ||||
−0.996766 | + | 0.0803608i | \(0.974393\pi\) | |||||||
\(140\) | −3.93865e20 | − | 1.86787e20i | −1.61113 | − | 0.764065i | ||||
\(141\) | −3.66958e20 | − | 1.14297e20i | −1.40293 | − | 0.436973i | ||||
\(142\) | 2.10751e20 | + | 4.74412e19i | 0.753409 | + | 0.169596i | ||||
\(143\) | −1.21780e17 | −0.000407272 | ||||||||
\(144\) | 2.59266e19 | + | 3.18426e20i | 0.0811526 | + | 0.996702i | ||||
\(145\) | −6.14046e20 | −1.79972 | ||||||||
\(146\) | 6.41027e20 | + | 1.44298e20i | 1.76005 | + | 0.396195i | ||||
\(147\) | 3.60999e20 | + | 1.12441e20i | 0.928949 | + | 0.289342i | ||||
\(148\) | 2.36757e20 | + | 1.12280e20i | 0.571236 | + | 0.270904i | ||||
\(149\) | − | 7.43168e19i | − | 0.168197i | −0.996457 | − | 0.0840983i | \(-0.973199\pi\) | ||
0.996457 | − | 0.0840983i | \(-0.0268010\pi\) | |||||||
\(150\) | −2.49396e20 | − | 1.43911e20i | −0.529692 | − | 0.305651i | ||||
\(151\) | 1.53578e20i | 0.306231i | 0.988208 | + | 0.153115i | \(0.0489306\pi\) | ||||
−0.988208 | + | 0.153115i | \(0.951069\pi\) | |||||||
\(152\) | −1.41123e20 | + | 1.80250e20i | −0.264291 | + | 0.337568i | ||||
\(153\) | −2.97968e20 | + | 4.31918e20i | −0.524326 | + | 0.760034i | ||||
\(154\) | −5.94993e16 | + | 2.64318e17i | −9.84159e−5 | + | 0.000437200i | ||||
\(155\) | −1.21253e21 | −1.88600 | ||||||||
\(156\) | −6.41421e20 | − | 5.91319e20i | −0.938555 | − | 0.865243i | ||||
\(157\) | 4.76448e20 | 0.656098 | 0.328049 | − | 0.944661i | \(-0.393609\pi\) | ||||
0.328049 | + | 0.944661i | \(0.393609\pi\) | |||||||
\(158\) | 6.23343e19 | − | 2.76912e20i | 0.0808137 | − | 0.359004i | ||||
\(159\) | −3.27566e20 | + | 1.05167e21i | −0.399969 | + | 1.28413i | ||||
\(160\) | 9.86939e20 | − | 4.93564e20i | 1.13540 | − | 0.567810i | ||||
\(161\) | 1.10989e21i | 1.20347i | ||||||||
\(162\) | −1.38029e20 | − | 9.68333e20i | −0.141117 | − | 0.989993i | ||||
\(163\) | − | 5.72589e20i | − | 0.552155i | −0.961135 | − | 0.276077i | \(-0.910965\pi\) | ||
0.961135 | − | 0.276077i | \(-0.0890346\pi\) | |||||||
\(164\) | −2.84856e18 | + | 6.00657e18i | −0.00259185 | + | 0.00546525i | ||||
\(165\) | −1.40245e17 | + | 4.50264e17i | −0.000120445 | + | 0.000386696i | ||||
\(166\) | 5.68273e20 | + | 1.27921e20i | 0.460819 | + | 0.103733i | ||||
\(167\) | −9.88977e19 | −0.0757495 | −0.0378747 | − | 0.999282i | \(-0.512059\pi\) | ||||
−0.0378747 | + | 0.999282i | \(0.512059\pi\) | |||||||
\(168\) | −1.59681e21 | + | 1.10327e21i | −1.15562 | + | 0.798440i | ||||
\(169\) | 9.20324e20 | 0.629531 | ||||||||
\(170\) | 1.76815e21 | + | 3.98019e20i | 1.14355 | + | 0.257418i | ||||
\(171\) | 3.97993e20 | − | 5.76908e20i | 0.243451 | − | 0.352894i | ||||
\(172\) | −7.34517e20 | + | 1.54883e21i | −0.425091 | + | 0.896360i | ||||
\(173\) | − | 2.94806e21i | − | 1.61473i | −0.590055 | − | 0.807363i | \(-0.700894\pi\) | ||
0.590055 | − | 0.807363i | \(-0.299106\pi\) | |||||||
\(174\) | −1.36645e21 | + | 2.36805e21i | −0.708558 | + | 1.22793i | ||||
\(175\) | − | 1.74926e21i | − | 0.859000i | ||||||
\(176\) | −4.33987e17 | − | 5.31069e17i | −0.000201886 | − | 0.000247048i | ||||
\(177\) | −2.17260e21 | − | 6.76704e20i | −0.957709 | − | 0.298300i | ||||
\(178\) | 2.18777e20 | − | 9.71886e20i | 0.0914136 | − | 0.406093i | ||||
\(179\) | 9.70172e20 | 0.384366 | 0.192183 | − | 0.981359i | \(-0.438443\pi\) | ||||
0.192183 | + | 0.981359i | \(0.438443\pi\) | |||||||
\(180\) | −2.92498e21 | + | 1.69058e21i | −1.09909 | + | 0.635254i | ||||
\(181\) | 3.97411e21 | 1.41675 | 0.708375 | − | 0.705836i | \(-0.249429\pi\) | ||||
0.708375 | + | 0.705836i | \(0.249429\pi\) | |||||||
\(182\) | 1.16391e21 | − | 5.17054e21i | 0.393770 | − | 1.74927i | ||||
\(183\) | 5.30045e21 | + | 1.65094e21i | 1.70227 | + | 0.530209i | ||||
\(184\) | −2.21223e21 | − | 1.73201e21i | −0.674623 | − | 0.528180i | ||||
\(185\) | 2.77090e21i | 0.802581i | ||||||||
\(186\) | −2.69826e21 | + | 4.67608e21i | −0.742526 | + | 1.28679i | ||||
\(187\) | − | 1.12645e18i | − | 0.000294590i | ||||||
\(188\) | 5.34060e21 | + | 2.53273e21i | 1.32767 | + | 0.629636i | ||||
\(189\) | 4.67619e21 | − | 3.66646e21i | 1.10536 | − | 0.866683i | ||||
\(190\) | −2.36169e21 | − | 5.31629e20i | −0.530963 | − | 0.119522i | ||||
\(191\) | −5.34922e21 | −1.14412 | −0.572062 | − | 0.820210i | \(-0.693856\pi\) | ||||
−0.572062 | + | 0.820210i | \(0.693856\pi\) | |||||||
\(192\) | 2.92842e20 | − | 4.90443e21i | 0.0596036 | − | 0.998222i | ||||
\(193\) | 2.15483e21 | 0.417464 | 0.208732 | − | 0.977973i | \(-0.433066\pi\) | ||||
0.208732 | + | 0.977973i | \(0.433066\pi\) | |||||||
\(194\) | 1.19071e21 | + | 2.68035e20i | 0.219629 | + | 0.0494396i | ||||
\(195\) | 2.74344e21 | − | 8.80797e21i | 0.481910 | − | 1.54720i | ||||
\(196\) | −5.25387e21 | − | 2.49160e21i | −0.879117 | − | 0.416914i | ||||
\(197\) | 2.73703e20i | 0.0436365i | 0.999762 | + | 0.0218182i | \(0.00694551\pi\) | ||||
−0.999762 | + | 0.0218182i | \(0.993054\pi\) | |||||||
\(198\) | 1.42434e18 | + | 1.54283e18i | 0.000216418 | + | 0.000234422i | ||||
\(199\) | 5.79917e21i | 0.839965i | 0.907532 | + | 0.419983i | \(0.137964\pi\) | ||||
−0.907532 | + | 0.419983i | \(0.862036\pi\) | |||||||
\(200\) | 3.48662e21 | + | 2.72977e21i | 0.481526 | + | 0.376999i | ||||
\(201\) | 4.95451e19 | − | 1.59068e20i | 0.00652587 | − | 0.0209517i | ||||
\(202\) | −3.42470e20 | + | 1.52138e21i | −0.0430313 | + | 0.191161i | ||||
\(203\) | −1.66094e22 | −1.99133 | ||||||||
\(204\) | 5.46963e21 | − | 5.93308e21i | 0.625852 | − | 0.678881i | ||||
\(205\) | −7.02984e19 | −0.00767863 | ||||||||
\(206\) | −3.65092e21 | + | 1.62187e22i | −0.380771 | + | 1.69152i | ||||
\(207\) | 7.08045e21 | + | 4.88461e21i | 0.705249 | + | 0.486532i | ||||
\(208\) | 8.48957e21 | + | 1.03887e22i | 0.807763 | + | 0.988458i | ||||
\(209\) | 1.50459e18i | 0.000136782i | ||||||||
\(210\) | −1.77769e22 | − | 1.02579e22i | −1.54444 | − | 0.891198i | ||||
\(211\) | 6.69519e21i | 0.556006i | 0.960580 | + | 0.278003i | \(0.0896725\pi\) | ||||
−0.960580 | + | 0.278003i | \(0.910328\pi\) | |||||||
\(212\) | 7.25860e21 | − | 1.53057e22i | 0.576318 | − | 1.21524i | ||||
\(213\) | 9.71101e21 | + | 3.02471e21i | 0.737323 | + | 0.229656i | ||||
\(214\) | −4.13715e21 | − | 9.31293e20i | −0.300448 | − | 0.0676325i | ||||
\(215\) | −1.81268e22 | −1.25938 | ||||||||
\(216\) | 1.06554e19 | + | 1.50422e22i | 0.000708367 | + | 1.00000i | ||||
\(217\) | −3.27979e22 | −2.08679 | ||||||||
\(218\) | −1.55475e22 | − | 3.49983e21i | −0.946946 | − | 0.213162i | ||||
\(219\) | 2.95373e22 | + | 9.20004e21i | 1.72247 | + | 0.536501i | ||||
\(220\) | 3.10770e18 | − | 6.55300e18i | 0.000173550 | − | 0.000365952i | ||||
\(221\) | 2.20355e22i | 1.17868i | ||||||||
\(222\) | 1.06859e22 | + | 6.16613e21i | 0.547591 | + | 0.315980i | ||||
\(223\) | − | 3.42488e22i | − | 1.68170i | −0.541265 | − | 0.840852i | \(-0.682055\pi\) | ||
0.541265 | − | 0.840852i | \(-0.317945\pi\) | |||||||
\(224\) | 2.66959e22 | − | 1.33505e22i | 1.25629 | − | 0.628262i | ||||
\(225\) | −1.11593e22 | − | 7.69846e21i | −0.503386 | − | 0.347272i | ||||
\(226\) | −5.90698e21 | + | 2.62410e22i | −0.255467 | + | 1.13488i | ||||
\(227\) | 9.15468e21 | 0.379662 | 0.189831 | − | 0.981817i | \(-0.439206\pi\) | ||||
0.189831 | + | 0.981817i | \(0.439206\pi\) | |||||||
\(228\) | −7.30572e21 | + | 7.92474e21i | −0.290591 | + | 0.315213i | ||||
\(229\) | −2.34552e22 | −0.894957 | −0.447479 | − | 0.894295i | \(-0.647678\pi\) | ||||
−0.447479 | + | 0.894295i | \(0.647678\pi\) | |||||||
\(230\) | 6.52474e21 | − | 2.89853e22i | 0.238863 | − | 1.06112i | ||||
\(231\) | −3.79350e18 | + | 1.21793e19i | −0.000133268 | + | 0.000427866i | ||||
\(232\) | 2.59195e22 | − | 3.31059e22i | 0.873958 | − | 1.11627i | ||||
\(233\) | 7.75371e21i | 0.250974i | 0.992095 | + | 0.125487i | \(0.0400493\pi\) | ||||
−0.992095 | + | 0.125487i | \(0.959951\pi\) | |||||||
\(234\) | −2.78626e22 | − | 3.01805e22i | −0.865907 | − | 0.937942i | ||||
\(235\) | 6.25041e22i | 1.86536i | ||||||||
\(236\) | 3.16193e22 | + | 1.49952e22i | 0.906335 | + | 0.429821i | ||||
\(237\) | 3.97425e21 | − | 1.27596e22i | 0.109432 | − | 0.351339i | ||||
\(238\) | 4.78269e22 | + | 1.07661e22i | 1.26529 | + | 0.284824i | ||||
\(239\) | 5.58610e21 | 0.142013 | 0.0710066 | − | 0.997476i | \(-0.477379\pi\) | ||||
0.0710066 | + | 0.997476i | \(0.477379\pi\) | |||||||
\(240\) | 4.81872e22 | − | 1.94251e22i | 1.17740 | − | 0.474631i | ||||
\(241\) | −7.82487e21 | −0.183787 | −0.0918935 | − | 0.995769i | \(-0.529292\pi\) | ||||
−0.0918935 | + | 0.995769i | \(0.529292\pi\) | |||||||
\(242\) | 4.32028e22 | + | 9.72518e21i | 0.975588 | + | 0.219610i | ||||
\(243\) | −2.81006e21 | − | 4.59674e22i | −0.0610177 | − | 0.998137i | ||||
\(244\) | −7.71412e22 | − | 3.65835e22i | −1.61095 | − | 0.763980i | ||||
\(245\) | − | 6.14891e22i | − | 1.23515i | ||||||
\(246\) | −1.56436e20 | + | 2.71103e20i | −0.00302311 | + | 0.00523903i | ||||
\(247\) | − | 2.94326e22i | − | 0.547277i | ||||||
\(248\) | 5.11820e22 | − | 6.53727e22i | 0.915855 | − | 1.16978i | ||||
\(249\) | 2.61849e22 | + | 8.15588e21i | 0.450981 | + | 0.140468i | ||||
\(250\) | 6.53186e21 | − | 2.90169e22i | 0.108295 | − | 0.481085i | ||||
\(251\) | −5.35960e22 | −0.855523 | −0.427762 | − | 0.903892i | \(-0.640698\pi\) | ||||
−0.427762 | + | 0.903892i | \(0.640698\pi\) | |||||||
\(252\) | −7.91183e22 | + | 4.57288e22i | −1.21611 | + | 0.702886i | ||||
\(253\) | −1.84660e19 | −0.000273356 | ||||||||
\(254\) | −1.24246e21 | + | 5.51945e21i | −0.0177158 | + | 0.0787002i | ||||
\(255\) | 8.14728e22 | + | 2.53765e22i | 1.11913 | + | 0.348578i | ||||
\(256\) | −1.50495e22 | + | 7.40439e22i | −0.199179 | + | 0.979963i | ||||
\(257\) | 9.24681e22i | 1.17931i | 0.807656 | + | 0.589654i | \(0.200736\pi\) | ||||
−0.807656 | + | 0.589654i | \(0.799264\pi\) | |||||||
\(258\) | −4.03379e22 | + | 6.99054e22i | −0.495822 | + | 0.859257i | ||||
\(259\) | 7.49505e22i | 0.888028i | ||||||||
\(260\) | −6.07923e22 | + | 1.28189e23i | −0.694387 | + | 1.46421i | ||||
\(261\) | −7.30978e22 | + | 1.05958e23i | −0.805044 | + | 1.16695i | ||||
\(262\) | −6.03650e22 | − | 1.35885e22i | −0.641095 | − | 0.144314i | ||||
\(263\) | −7.84375e22 | −0.803423 | −0.401712 | − | 0.915766i | \(-0.631585\pi\) | ||||
−0.401712 | + | 0.915766i | \(0.631585\pi\) | |||||||
\(264\) | −1.83558e19 | − | 2.65673e19i | −0.000181358 | − | 0.000262488i | ||||
\(265\) | 1.79131e23 | 1.70740 | ||||||||
\(266\) | −6.38818e22 | − | 1.43801e22i | −0.587492 | − | 0.132247i | ||||
\(267\) | 1.39485e22 | − | 4.47826e22i | 0.123786 | − | 0.397423i | ||||
\(268\) | −1.09788e21 | + | 2.31502e21i | −0.00940316 | + | 0.0198278i | ||||
\(269\) | − | 1.45532e23i | − | 1.20313i | −0.798824 | − | 0.601565i | \(-0.794544\pi\) | ||
0.798824 | − | 0.601565i | \(-0.205456\pi\) | |||||||
\(270\) | −1.43675e23 | + | 6.82612e22i | −1.14663 | + | 0.544777i | ||||
\(271\) | − | 1.50170e23i | − | 1.15711i | −0.815642 | − | 0.578557i | \(-0.803616\pi\) | ||
0.815642 | − | 0.578557i | \(-0.196384\pi\) | |||||||
\(272\) | −9.60940e22 | + | 7.85276e22i | −0.714977 | + | 0.584275i | ||||
\(273\) | 7.42077e22 | − | 2.38248e23i | 0.533217 | − | 1.71193i | ||||
\(274\) | 2.13754e22 | − | 9.49575e22i | 0.148349 | − | 0.659021i | ||||
\(275\) | 2.91036e19 | 0.000195113 | ||||||||
\(276\) | −9.72612e22 | − | 8.96639e22i | −0.629946 | − | 0.580739i | ||||
\(277\) | 2.52142e23 | 1.57793 | 0.788964 | − | 0.614439i | \(-0.210618\pi\) | ||||
0.788964 | + | 0.614439i | \(0.210618\pi\) | |||||||
\(278\) | 5.83649e21 | − | 2.59278e22i | 0.0352960 | − | 0.156798i | ||||
\(279\) | −1.44343e23 | + | 2.09232e23i | −0.843637 | + | 1.22289i | ||||
\(280\) | 2.48525e23 | + | 1.94577e23i | 1.40400 | + | 1.09923i | ||||
\(281\) | 1.28348e23i | 0.700935i | 0.936575 | + | 0.350467i | \(0.113977\pi\) | ||||
−0.936575 | + | 0.350467i | \(0.886023\pi\) | |||||||
\(282\) | 2.41045e23 | + | 1.39091e23i | 1.27272 | + | 0.734402i | ||||
\(283\) | − | 2.88031e23i | − | 1.47051i | −0.677789 | − | 0.735256i | \(-0.737062\pi\) | ||
0.677789 | − | 0.735256i | \(-0.262938\pi\) | |||||||
\(284\) | −1.41331e23 | − | 6.70250e22i | −0.697771 | − | 0.330912i | ||||
\(285\) | −1.08822e23 | − | 3.38951e22i | −0.519627 | − | 0.161849i | ||||
\(286\) | 8.60258e19 | + | 1.93648e19i | 0.000397330 | + | 8.94410e-5i | ||||
\(287\) | −1.90151e21 | −0.00849613 | ||||||||
\(288\) | 3.23198e22 | − | 2.29059e23i | 0.139714 | − | 0.990192i | ||||
\(289\) | 3.52466e22 | 0.147431 | ||||||||
\(290\) | 4.33763e23 | + | 9.76422e22i | 1.75578 | + | 0.395236i | ||||
\(291\) | 5.48657e22 | + | 1.70891e22i | 0.214940 | + | 0.0669478i | ||||
\(292\) | −4.29876e23 | − | 2.03865e23i | −1.63007 | − | 0.773047i | ||||
\(293\) | 3.47250e23i | 1.27468i | 0.770584 | + | 0.637338i | \(0.219964\pi\) | ||||
−0.770584 | + | 0.637338i | \(0.780036\pi\) | |||||||
\(294\) | −2.37131e23 | − | 1.36833e23i | −0.842729 | − | 0.486284i | ||||
\(295\) | 3.70059e23i | 1.27339i | ||||||||
\(296\) | −1.49391e23 | − | 1.16962e23i | −0.497798 | − | 0.389739i | ||||
\(297\) | 6.10014e19 | + | 7.78010e19i | 0.000196858 | + | 0.000251072i | ||||
\(298\) | −1.18174e22 | + | 5.24975e22i | −0.0369376 | + | 0.164091i | ||||
\(299\) | 3.61229e23 | 1.09372 | ||||||||
\(300\) | 1.53290e23 | + | 1.41316e23i | 0.449637 | + | 0.414515i | ||||
\(301\) | −4.90315e23 | −1.39346 | ||||||||
\(302\) | 2.44212e22 | − | 1.08488e23i | 0.0672513 | − | 0.298755i | ||||
\(303\) | −2.18349e22 | + | 7.01022e22i | −0.0582701 | + | 0.187080i | ||||
\(304\) | 1.28352e23 | − | 1.04888e23i | 0.331973 | − | 0.271287i | ||||
\(305\) | − | 9.02827e23i | − | 2.26337i | ||||||
\(306\) | 2.79166e23 | − | 2.57726e23i | 0.678437 | − | 0.626333i | ||||
\(307\) | − | 1.16531e23i | − | 0.274554i | −0.990533 | − | 0.137277i | \(-0.956165\pi\) | ||
0.990533 | − | 0.137277i | \(-0.0438351\pi\) | |||||||
\(308\) | 8.40608e19 | − | 1.77253e20i | 0.000192027 | − | 0.000404914i | ||||
\(309\) | −2.32772e23 | + | 7.47328e23i | −0.515614 | + | 1.65541i | ||||
\(310\) | 8.56532e23 | + | 1.92810e23i | 1.83996 | + | 0.414184i | ||||
\(311\) | 6.98423e23 | 1.45511 | 0.727553 | − | 0.686051i | \(-0.240657\pi\) | ||||
0.727553 | + | 0.686051i | \(0.240657\pi\) | |||||||
\(312\) | 3.59073e23 | + | 5.19704e23i | 0.725627 | + | 1.05024i | ||||
\(313\) | −5.99952e22 | −0.117610 | −0.0588052 | − | 0.998269i | \(-0.518729\pi\) | ||||
−0.0588052 | + | 0.998269i | \(0.518729\pi\) | |||||||
\(314\) | −3.36564e23 | − | 7.57622e22i | −0.640082 | − | 0.144086i | ||||
\(315\) | −7.95427e23 | − | 5.48743e23i | −1.46774 | − | 1.01256i | ||||
\(316\) | −8.80660e22 | + | 1.85699e23i | −0.157682 | + | 0.332492i | ||||
\(317\) | − | 4.40158e23i | − | 0.764796i | −0.923998 | − | 0.382398i | \(-0.875098\pi\) | ||
0.923998 | − | 0.382398i | \(-0.124902\pi\) | |||||||
\(318\) | 3.98624e23 | − | 6.90814e23i | 0.672212 | − | 1.16494i | ||||
\(319\) | − | 2.76343e20i | − | 0.000452310i | ||||||
\(320\) | −7.75659e23 | + | 1.91716e23i | −1.23238 | + | 0.304603i | ||||
\(321\) | −1.90632e23 | − | 5.93765e22i | −0.294034 | − | 0.0915834i | ||||
\(322\) | 1.76489e23 | − | 7.84028e23i | 0.264293 | − | 1.17409i | ||||
\(323\) | 2.72248e23 | 0.395859 | ||||||||
\(324\) | −5.64750e22 | + | 7.05980e23i | −0.0797405 | + | 0.996816i | ||||
\(325\) | −5.69320e23 | −0.780665 | ||||||||
\(326\) | −9.10500e22 | + | 4.04478e23i | −0.121259 | + | 0.538676i | ||||
\(327\) | −7.16401e23 | − | 2.23139e23i | −0.926728 | − | 0.288650i | ||||
\(328\) | 2.96736e21 | − | 3.79009e21i | 0.00372880 | − | 0.00476264i | ||||
\(329\) | 1.69068e24i | 2.06396i | ||||||||
\(330\) | 1.70667e20 | − | 2.95766e20i | 0.000202427 | − | 0.000350805i | ||||
\(331\) | 1.20541e24i | 1.38921i | 0.719392 | + | 0.694604i | \(0.244420\pi\) | ||||
−0.719392 | + | 0.694604i | \(0.755580\pi\) | |||||||
\(332\) | −3.81088e23 | − | 1.80727e23i | −0.426789 | − | 0.202401i | ||||
\(333\) | 4.78140e23 | + | 3.29855e23i | 0.520397 | + | 0.359007i | ||||
\(334\) | 6.98614e22 | + | 1.57262e22i | 0.0739003 | + | 0.0166353i | ||||
\(335\) | −2.70940e22 | −0.0278579 | ||||||||
\(336\) | 1.30342e24 | − | 5.25432e23i | 1.30276 | − | 0.525162i | ||||
\(337\) | −5.16565e23 | −0.501928 | −0.250964 | − | 0.967996i | \(-0.580748\pi\) | ||||
−0.250964 | + | 0.967996i | \(0.580748\pi\) | |||||||
\(338\) | −6.50118e23 | − | 1.46345e23i | −0.614163 | − | 0.138251i | ||||
\(339\) | −3.76612e23 | + | 1.20913e24i | −0.345937 | + | 1.11065i | ||||
\(340\) | −1.18573e24 | − | 5.62322e23i | −1.05910 | − | 0.502268i | ||||
\(341\) | − | 5.45682e20i | − | 0.000473994i | ||||||
\(342\) | −3.72879e23 | + | 3.44242e23i | −0.315007 | + | 0.290814i | ||||
\(343\) | 4.62114e22i | 0.0379713i | ||||||||
\(344\) | 7.65149e23 | − | 9.77293e23i | 0.611563 | − | 0.781123i | ||||
\(345\) | 4.15998e23 | − | 1.33559e24i | 0.323452 | − | 1.03846i | ||||
\(346\) | −4.68785e23 | + | 2.08252e24i | −0.354610 | + | 1.57531i | ||||
\(347\) | 1.44732e23 | 0.106521 | 0.0532603 | − | 0.998581i | \(-0.483039\pi\) | ||||
0.0532603 | + | 0.998581i | \(0.483039\pi\) | |||||||
\(348\) | 1.34181e24 | − | 1.45551e24i | 0.960925 | − | 1.04234i | ||||
\(349\) | −7.90825e23 | −0.551110 | −0.275555 | − | 0.961285i | \(-0.588862\pi\) | ||||
−0.275555 | + | 0.961285i | \(0.588862\pi\) | |||||||
\(350\) | −2.78158e23 | + | 1.23568e24i | −0.188645 | + | 0.838030i | ||||
\(351\) | −1.19330e24 | − | 1.52193e24i | −0.787647 | − | 1.00456i | ||||
\(352\) | 2.22121e20 | + | 4.44158e20i | 0.000142704 | + | 0.000285353i | ||||
\(353\) | − | 3.64188e23i | − | 0.227754i | −0.993495 | − | 0.113877i | \(-0.963673\pi\) | ||
0.993495 | − | 0.113877i | \(-0.0363270\pi\) | |||||||
\(354\) | 1.42712e24 | + | 8.23499e23i | 0.868820 | + | 0.501340i | ||||
\(355\) | − | 1.65408e24i | − | 0.980362i | ||||||
\(356\) | −3.09088e23 | + | 6.51753e23i | −0.178364 | + | 0.376104i | ||||
\(357\) | 2.20377e24 | + | 6.86413e23i | 1.23828 | + | 0.385689i | ||||
\(358\) | −6.85330e23 | − | 1.54271e23i | −0.374983 | − | 0.0844105i | ||||
\(359\) | 5.80491e23 | 0.309313 | 0.154657 | − | 0.987968i | \(-0.450573\pi\) | ||||
0.154657 | + | 0.987968i | \(0.450573\pi\) | |||||||
\(360\) | 2.33504e24 | − | 7.29114e23i | 1.21177 | − | 0.378374i | ||||
\(361\) | 1.61478e24 | 0.816198 | ||||||||
\(362\) | −2.80731e24 | − | 6.31941e23i | −1.38216 | − | 0.311132i | ||||
\(363\) | 1.99070e24 | + | 6.20049e23i | 0.954759 | + | 0.297381i | ||||
\(364\) | −1.64438e24 | + | 3.46739e24i | −0.768315 | + | 1.62009i | ||||
\(365\) | − | 5.03109e24i | − | 2.29023i | ||||||
\(366\) | −3.48172e24 | − | 2.00908e24i | −1.54427 | − | 0.891100i | ||||
\(367\) | 7.29018e23i | 0.315073i | 0.987513 | + | 0.157536i | \(0.0503551\pi\) | ||||
−0.987513 | + | 0.157536i | \(0.949645\pi\) | |||||||
\(368\) | 1.28731e24 | + | 1.57527e24i | 0.542160 | + | 0.663440i | ||||
\(369\) | −8.36852e21 | + | 1.21305e22i | −0.00343477 | + | 0.00497886i | ||||
\(370\) | 4.40613e23 | − | 1.95736e24i | 0.176255 | − | 0.782988i | ||||
\(371\) | 4.84536e24 | 1.88918 | ||||||||
\(372\) | 2.64962e24 | − | 2.87412e24i | 1.00699 | − | 1.09231i | ||||
\(373\) | 2.85996e24 | 1.05956 | 0.529781 | − | 0.848135i | \(-0.322274\pi\) | ||||
0.529781 | + | 0.848135i | \(0.322274\pi\) | |||||||
\(374\) | −1.79123e20 | + | 7.95729e20i | −6.46949e−5 | + | 0.000287399i | ||||
\(375\) | 4.16452e23 | − | 1.33705e24i | 0.146645 | − | 0.470814i | ||||
\(376\) | −3.36986e24 | − | 2.63836e24i | −1.15698 | − | 0.905835i | ||||
\(377\) | 5.40576e24i | 1.80973i | ||||||||
\(378\) | −3.88629e24 | + | 1.84641e24i | −1.26871 | + | 0.602776i | ||||
\(379\) | − | 4.82016e24i | − | 1.53458i | −0.641301 | − | 0.767290i | \(-0.721605\pi\) | ||
0.641301 | − | 0.767290i | \(-0.278395\pi\) | |||||||
\(380\) | 1.58376e24 | + | 7.51087e23i | 0.491752 | + | 0.233209i | ||||
\(381\) | −7.92154e22 | + | 2.54326e23i | −0.0239896 | + | 0.0770200i | ||||
\(382\) | 3.77869e24 | + | 8.50603e23i | 1.11619 | + | 0.251261i | ||||
\(383\) | −5.48430e24 | −1.58028 | −0.790138 | − | 0.612929i | \(-0.789991\pi\) | ||||
−0.790138 | + | 0.612929i | \(0.789991\pi\) | |||||||
\(384\) | −9.86740e23 | + | 3.41793e24i | −0.277368 | + | 0.960764i | ||||
\(385\) | 2.07450e21 | 0.000568900 | ||||||||
\(386\) | −1.52217e24 | − | 3.42649e23i | −0.407273 | − | 0.0916791i | ||||
\(387\) | −2.15786e24 | + | 3.12792e24i | −0.563339 | + | 0.816585i | ||||
\(388\) | −7.98498e23 | − | 3.78681e23i | −0.203410 | − | 0.0964654i | ||||
\(389\) | − | 3.68660e24i | − | 0.916442i | −0.888838 | − | 0.458221i | \(-0.848487\pi\) | ||
0.888838 | − | 0.458221i | \(-0.151513\pi\) | |||||||
\(390\) | −3.33856e24 | + | 5.78571e24i | −0.809927 | + | 1.40360i | ||||
\(391\) | 3.34133e24i | 0.791115i | ||||||||
\(392\) | 3.31514e24 | + | 2.59551e24i | 0.766098 | + | 0.599799i | ||||
\(393\) | −2.78150e24 | − | 8.66360e23i | −0.627408 | − | 0.195420i | ||||
\(394\) | 4.35227e22 | − | 1.93344e23i | 0.00958300 | − | 0.0425712i | ||||
\(395\) | −2.17334e24 | −0.467149 | ||||||||
\(396\) | −7.60822e20 | − | 1.31635e21i | −0.000159654 | − | 0.000276227i | ||||
\(397\) | 4.75450e24 | 0.974082 | 0.487041 | − | 0.873379i | \(-0.338076\pi\) | ||||
0.487041 | + | 0.873379i | \(0.338076\pi\) | |||||||
\(398\) | 9.22152e23 | − | 4.09654e24i | 0.184465 | − | 0.819460i | ||||
\(399\) | −2.94355e24 | − | 9.16834e23i | −0.574949 | − | 0.179081i | ||||
\(400\) | −2.02888e24 | − | 2.48273e24i | −0.386978 | − | 0.473544i | ||||
\(401\) | 1.08639e24i | 0.202356i | 0.994868 | + | 0.101178i | \(0.0322611\pi\) | ||||
−0.994868 | + | 0.101178i | \(0.967739\pi\) | |||||||
\(402\) | −6.02928e22 | + | 1.04487e23i | −0.0109678 | + | 0.0190071i | ||||
\(403\) | 1.06745e25i | 1.89649i | ||||||||
\(404\) | 4.83842e23 | − | 1.02025e24i | 0.0839616 | − | 0.177044i | ||||
\(405\) | −7.00131e24 | + | 2.65935e24i | −1.18674 | + | 0.450768i | ||||
\(406\) | 1.17329e25 | + | 2.64114e24i | 1.94271 | + | 0.437315i | ||||
\(407\) | −1.24700e21 | −0.000201707 | ||||||||
\(408\) | −4.80720e24 | + | 3.32138e24i | −0.759662 | + | 0.524864i | ||||
\(409\) | −7.66016e24 | −1.18268 | −0.591338 | − | 0.806423i | \(-0.701400\pi\) | ||||
−0.591338 | + | 0.806423i | \(0.701400\pi\) | |||||||
\(410\) | 4.96588e22 | + | 1.11785e22i | 0.00749117 | + | 0.00168630i | ||||
\(411\) | 1.36283e24 | − | 4.37546e24i | 0.200884 | − | 0.644951i | ||||
\(412\) | 5.15803e24 | − | 1.08764e25i | 0.742951 | − | 1.56661i | ||||
\(413\) | 1.00098e25i | 1.40896i | ||||||||
\(414\) | −4.22492e24 | − | 4.57639e24i | −0.581186 | − | 0.629534i | ||||
\(415\) | − | 4.46009e24i | − | 0.599634i | ||||||
\(416\) | −4.34509e24 | − | 8.68853e24i | −0.570969 | − | 1.14172i | ||||
\(417\) | 3.72117e23 | − | 1.19470e24i | 0.0477955 | − | 0.153450i | ||||
\(418\) | 2.39252e20 | − | 1.06285e21i | 3.00387e−5 | − | 0.000133443i | ||||
\(419\) | −3.13837e24 | −0.385186 | −0.192593 | − | 0.981279i | \(-0.561690\pi\) | ||||
−0.192593 | + | 0.981279i | \(0.561690\pi\) | |||||||
\(420\) | 1.09264e25 | + | 1.00730e25i | 1.31102 | + | 1.20862i | ||||
\(421\) | 3.70615e24 | 0.434753 | 0.217377 | − | 0.976088i | \(-0.430250\pi\) | ||||
0.217377 | + | 0.976088i | \(0.430250\pi\) | |||||||
\(422\) | 1.06463e24 | − | 4.72949e24i | 0.122104 | − | 0.542432i | ||||
\(423\) | 1.07856e25 | + | 7.44066e24i | 1.20951 | + | 0.834407i | ||||
\(424\) | −7.56131e24 | + | 9.65775e24i | −0.829128 | + | 1.05901i | ||||
\(425\) | − | 5.26615e24i | − | 0.564674i | ||||||
\(426\) | −6.37889e24 | − | 3.68085e24i | −0.668889 | − | 0.385973i | ||||
\(427\) | − | 2.44207e25i | − | 2.50434i | ||||||
\(428\) | 2.77440e24 | + | 1.31573e24i | 0.278261 | + | 0.131963i | ||||
\(429\) | 3.96390e21 | + | 1.23464e21i | 0.000388847 | + | 0.000121115i | ||||
\(430\) | 1.28048e25 | + | 2.88242e24i | 1.22863 | + | 0.276571i | ||||
\(431\) | −3.09919e24 | −0.290880 | −0.145440 | − | 0.989367i | \(-0.546460\pi\) | ||||
−0.145440 | + | 0.989367i | \(0.546460\pi\) | |||||||
\(432\) | 2.38440e24 | − | 1.06275e25i | 0.218919 | − | 0.975743i | ||||
\(433\) | −1.37245e25 | −1.23271 | −0.616355 | − | 0.787468i | \(-0.711391\pi\) | ||||
−0.616355 | + | 0.787468i | \(0.711391\pi\) | |||||||
\(434\) | 2.31685e25 | + | 5.21535e24i | 2.03585 | + | 0.458280i | ||||
\(435\) | 1.99870e25 | + | 6.22538e24i | 1.71830 | + | 0.535202i | ||||
\(436\) | 1.04263e25 | + | 4.94457e24i | 0.877016 | + | 0.415917i | ||||
\(437\) | − | 4.46297e24i | − | 0.367325i | ||||||
\(438\) | −1.94022e25 | − | 1.11958e25i | −1.56260 | − | 0.901675i | ||||
\(439\) | 1.81655e25i | 1.43164i | 0.698283 | + | 0.715822i | \(0.253948\pi\) | ||||
−0.698283 | + | 0.715822i | \(0.746052\pi\) | |||||||
\(440\) | −3.23731e21 | + | 4.13488e21i | −0.000249680 | + | 0.000318905i | ||||
\(441\) | −1.06104e25 | − | 7.31984e24i | −0.800878 | − | 0.552503i | ||||
\(442\) | 3.50396e24 | − | 1.55659e25i | 0.258850 | − | 1.14991i | ||||
\(443\) | 5.94482e24 | 0.429836 | 0.214918 | − | 0.976632i | \(-0.431052\pi\) | ||||
0.214918 | + | 0.976632i | \(0.431052\pi\) | |||||||
\(444\) | −6.56801e24 | − | 6.05497e24i | −0.464831 | − | 0.428522i | ||||
\(445\) | −7.62783e24 | −0.528422 | ||||||||
\(446\) | −5.44606e24 | + | 2.41934e25i | −0.369319 | + | 1.64065i | ||||
\(447\) | −7.53445e23 | + | 2.41898e24i | −0.0500185 | + | 0.160587i | ||||
\(448\) | −2.09809e25 | + | 5.18576e24i | −1.36359 | + | 0.337032i | ||||
\(449\) | 5.95675e24i | 0.379026i | 0.981878 | + | 0.189513i | \(0.0606909\pi\) | ||||
−0.981878 | + | 0.189513i | \(0.939309\pi\) | |||||||
\(450\) | 6.65874e24 | + | 7.21268e24i | 0.414833 | + | 0.449343i | ||||
\(451\) | − | 3.16368e19i | − | 1.92981e-6i | ||||||
\(452\) | 8.34539e24 | − | 1.75974e25i | 0.498462 | − | 1.05107i | ||||
\(453\) | 1.55702e24 | − | 4.99891e24i | 0.0910672 | − | 0.292377i | ||||
\(454\) | −6.46687e24 | − | 1.45573e24i | −0.370394 | − | 0.0833776i | ||||
\(455\) | −4.05809e25 | −2.27622 | ||||||||
\(456\) | 6.42092e24 | − | 4.43633e24i | 0.352721 | − | 0.243701i | ||||
\(457\) | 2.63035e25 | 1.41517 | 0.707587 | − | 0.706626i | \(-0.249784\pi\) | ||||
0.707587 | + | 0.706626i | \(0.249784\pi\) | |||||||
\(458\) | 1.65688e25 | + | 3.72972e24i | 0.873109 | + | 0.196541i | ||||
\(459\) | 1.40777e25 | − | 1.10379e25i | 0.726625 | − | 0.569725i | ||||
\(460\) | −9.21816e24 | + | 1.94377e25i | −0.466063 | + | 0.982756i | ||||
\(461\) | 1.31846e25i | 0.652991i | 0.945199 | + | 0.326495i | \(0.105868\pi\) | ||||
−0.945199 | + | 0.326495i | \(0.894132\pi\) | |||||||
\(462\) | 4.61641e21 | − | 8.00022e21i | 0.000223978 | − | 0.000388153i | ||||
\(463\) | − | 1.17965e24i | − | 0.0560706i | −0.999607 | − | 0.0280353i | \(-0.991075\pi\) | ||
0.999607 | − | 0.0280353i | \(-0.00892508\pi\) | |||||||
\(464\) | −2.35739e25 | + | 1.92644e25i | −1.09777 | + | 0.897089i | ||||
\(465\) | 3.94674e25 | + | 1.22930e25i | 1.80067 | + | 0.560859i | ||||
\(466\) | 1.23295e24 | − | 5.47723e24i | 0.0551163 | − | 0.244847i | ||||
\(467\) | −1.27273e25 | −0.557475 | −0.278737 | − | 0.960367i | \(-0.589916\pi\) | ||||
−0.278737 | + | 0.960367i | \(0.589916\pi\) | |||||||
\(468\) | 1.48831e25 | + | 2.57501e25i | 0.638787 | + | 1.10521i | ||||
\(469\) | −7.32871e23 | −0.0308238 | ||||||||
\(470\) | 9.93905e24 | − | 4.41529e25i | 0.409652 | − | 1.81983i | ||||
\(471\) | −1.55082e25 | − | 4.83037e24i | −0.626416 | − | 0.195111i | ||||
\(472\) | −1.99515e25 | − | 1.56206e25i | −0.789816 | − | 0.618369i | ||||
\(473\) | − | 8.15770e21i | − | 0.000316510i | ||||||
\(474\) | −4.83637e24 | + | 8.38141e24i | −0.183918 | + | 0.318730i | ||||
\(475\) | 7.03393e24i | 0.262186i | ||||||||
\(476\) | −3.20730e25 | − | 1.52103e25i | −1.17185 | − | 0.555742i | ||||
\(477\) | 2.13243e25 | − | 3.09105e25i | 0.763749 | − | 1.10709i | ||||
\(478\) | −3.94603e24 | − | 8.88272e23i | −0.138546 | − | 0.0311875i | ||||
\(479\) | −1.58667e25 | −0.546135 | −0.273067 | − | 0.961995i | \(-0.588038\pi\) | ||||
−0.273067 | + | 0.961995i | \(0.588038\pi\) | |||||||
\(480\) | −3.71284e25 | + | 6.05942e24i | −1.25289 | + | 0.204474i | ||||
\(481\) | 2.43936e25 | 0.807046 | ||||||||
\(482\) | 5.52749e24 | + | 1.24427e24i | 0.179300 | + | 0.0403614i | ||||
\(483\) | 1.12524e25 | − | 3.61265e25i | 0.357888 | − | 1.14902i | ||||
\(484\) | −2.89721e25 | − | 1.37398e25i | −0.903543 | − | 0.428497i | ||||
\(485\) | − | 9.34527e24i | − | 0.285789i | ||||||
\(486\) | −5.32445e24 | + | 3.29182e25i | −0.159672 | + | 0.987170i | ||||
\(487\) | 2.17055e25i | 0.638329i | 0.947699 | + | 0.319165i | \(0.103402\pi\) | ||||
−0.947699 | + | 0.319165i | \(0.896598\pi\) | |||||||
\(488\) | 4.86753e25 | + | 3.81092e25i | 1.40385 | + | 1.09911i | ||||
\(489\) | −5.80508e24 | + | 1.86376e25i | −0.164200 | + | 0.527175i | ||||
\(490\) | −9.77766e24 | + | 4.34359e25i | −0.271251 | + | 1.20500i | ||||
\(491\) | 5.61079e25 | 1.52669 | 0.763343 | − | 0.645994i | \(-0.223557\pi\) | ||||
0.763343 | + | 0.645994i | \(0.223557\pi\) | |||||||
\(492\) | 1.53616e23 | − | 1.66632e23i | 0.00409985 | − | 0.00444723i | ||||
\(493\) | −5.00027e25 | −1.30902 | ||||||||
\(494\) | −4.68020e24 | + | 2.07912e25i | −0.120187 | + | 0.533916i | ||||
\(495\) | 9.12981e21 | − | 1.32341e22i | 0.000229992 | − | 0.000333383i | ||||
\(496\) | −4.65502e25 | + | 3.80406e25i | −1.15039 | + | 0.940095i | ||||
\(497\) | − | 4.47414e25i | − | 1.08474i | ||||||
\(498\) | −1.72002e25 | − | 9.92511e24i | −0.409123 | − | 0.236079i | ||||
\(499\) | 4.70657e25i | 1.09837i | 0.835700 | + | 0.549186i | \(0.185062\pi\) | ||||
−0.835700 | + | 0.549186i | \(0.814938\pi\) | |||||||
\(500\) | −9.22823e24 | + | 1.94589e25i | −0.211302 | + | 0.445558i | ||||
\(501\) | 3.21908e24 | + | 1.00265e24i | 0.0723225 | + | 0.0225264i | ||||
\(502\) | 3.78603e25 | + | 8.52254e24i | 0.834638 | + | 0.187881i | ||||
\(503\) | −1.83438e25 | −0.396821 | −0.198410 | − | 0.980119i | \(-0.563578\pi\) | ||||
−0.198410 | + | 0.980119i | \(0.563578\pi\) | |||||||
\(504\) | 6.31608e25 | − | 1.97219e25i | 1.34078 | − | 0.418658i | ||||
\(505\) | 1.19405e25 | 0.248745 | ||||||||
\(506\) | 1.30444e22 | + | 2.93636e21i | 0.000266683 | + | 6.00316e-5i | ||||
\(507\) | −2.99562e25 | − | 9.33051e24i | −0.601050 | − | 0.187210i | ||||
\(508\) | 1.75535e24 | − | 3.70138e24i | 0.0345667 | − | 0.0728884i | ||||
\(509\) | 6.09000e25i | 1.17706i | 0.808475 | + | 0.588530i | \(0.200293\pi\) | ||||
−0.808475 | + | 0.588530i | \(0.799707\pi\) | |||||||
\(510\) | −5.35172e25 | − | 3.08813e25i | −1.01526 | − | 0.585840i | ||||
\(511\) | − | 1.36087e26i | − | 2.53406i | ||||||
\(512\) | 2.24051e25 | − | 4.99116e25i | 0.409526 | − | 0.912298i | ||||
\(513\) | −1.88034e25 | + | 1.47432e25i | −0.337381 | + | 0.264530i | ||||
\(514\) | 1.47038e25 | − | 6.53196e25i | 0.258988 | − | 1.15052i | ||||
\(515\) | 1.27292e26 | 2.20107 | ||||||||
\(516\) | 3.96107e25 | − | 4.29669e25i | 0.672419 | − | 0.729394i | ||||
\(517\) | −2.81291e22 | −0.000468808 | ||||||||
\(518\) | 1.19182e25 | − | 5.29451e25i | 0.195020 | − | 0.866349i | ||||
\(519\) | −2.98883e25 | + | 9.59583e25i | −0.480188 | + | 1.54167i | ||||
\(520\) | 6.33276e25 | − | 8.08856e25i | 0.998990 | − | 1.27597i | ||||
\(521\) | − | 8.86506e25i | − | 1.37317i | −0.727051 | − | 0.686584i | \(-0.759110\pi\) | ||
0.727051 | − | 0.686584i | \(-0.240890\pi\) | |||||||
\(522\) | 6.84853e25 | − | 6.32256e25i | 1.04166 | − | 0.961663i | ||||
\(523\) | 2.41404e25i | 0.360561i | 0.983615 | + | 0.180280i | \(0.0577005\pi\) | ||||
−0.983615 | + | 0.180280i | \(0.942299\pi\) | |||||||
\(524\) | 4.04811e25 | + | 1.91978e25i | 0.593752 | + | 0.281582i | ||||
\(525\) | −1.77345e25 | + | 5.69377e25i | −0.255450 | + | 0.820138i | ||||
\(526\) | 5.54084e25 | + | 1.24727e25i | 0.783810 | + | 0.176440i | ||||
\(527\) | −9.87381e25 | −1.37178 | ||||||||
\(528\) | 8.74197e21 | + | 2.16860e22i | 0.000119285 | + | 0.000295908i | ||||
\(529\) | −1.98410e25 | −0.265910 | ||||||||
\(530\) | −1.26539e26 | − | 2.84845e25i | −1.66572 | − | 0.374962i | ||||
\(531\) | 6.38566e25 | + | 4.40529e25i | 0.825673 | + | 0.569609i | ||||
\(532\) | 4.28395e25 | + | 2.03163e25i | 0.544107 | + | 0.258038i | ||||
\(533\) | 6.18873e23i | 0.00772134i | ||||||||
\(534\) | −1.69744e25 | + | 2.94165e25i | −0.208042 | + | 0.360536i | ||||
\(535\) | 3.24703e25i | 0.390954i | ||||||||
\(536\) | 1.14366e24 | − | 1.46076e24i | 0.0135280 | − | 0.0172787i | ||||
\(537\) | −3.15787e25 | − | 9.83589e24i | −0.366977 | − | 0.114303i | ||||
\(538\) | −2.31417e25 | + | 1.02804e26i | −0.264219 | + | 1.17376i | ||||
\(539\) | 2.76723e22 | 0.000310421 | ||||||||
\(540\) | 1.12347e26 | − | 2.53734e25i | 1.23828 | − | 0.279665i | ||||
\(541\) | −6.84884e25 | −0.741725 | −0.370862 | − | 0.928688i | \(-0.620938\pi\) | ||||
−0.370862 | + | 0.928688i | \(0.620938\pi\) | |||||||
\(542\) | −2.38793e25 | + | 1.06080e26i | −0.254113 | + | 1.12887i | ||||
\(543\) | −1.29356e26 | − | 4.02907e25i | −1.35265 | − | 0.421314i | ||||
\(544\) | 8.03680e25 | − | 4.01916e25i | 0.825835 | − | 0.412996i | ||||
\(545\) | 1.22025e26i | 1.23220i | ||||||||
\(546\) | −9.03054e25 | + | 1.56499e26i | −0.896156 | + | 1.55303i | ||||
\(547\) | − | 4.11723e25i | − | 0.401537i | −0.979639 | − | 0.200768i | \(-0.935656\pi\) | ||
0.979639 | − | 0.200768i | \(-0.0643438\pi\) | |||||||
\(548\) | −3.01993e25 | + | 6.36791e25i | −0.289455 | + | 0.610354i | ||||
\(549\) | −1.55790e26 | − | 1.07475e26i | −1.46758 | − | 1.01244i | ||||
\(550\) | −2.05588e22 | − | 4.62790e21i | −0.000190350 | − | 4.28488e-5i | ||||
\(551\) | 6.67880e25 | 0.607797 | ||||||||
\(552\) | 5.44475e25 | + | 7.88046e25i | 0.487031 | + | 0.704905i | ||||
\(553\) | −5.87870e25 | −0.516884 | ||||||||
\(554\) | −1.78113e26 | − | 4.00942e25i | −1.53941 | − | 0.346529i | ||||
\(555\) | 2.80922e25 | − | 9.01916e25i | 0.238672 | − | 0.766272i | ||||
\(556\) | −8.24580e24 | + | 1.73874e25i | −0.0688688 | + | 0.145219i | ||||
\(557\) | 1.60444e26i | 1.31734i | 0.752431 | + | 0.658671i | \(0.228881\pi\) | ||||
−0.752431 | + | 0.658671i | \(0.771119\pi\) | |||||||
\(558\) | 1.35235e26 | − | 1.24849e26i | 1.09160 | − | 1.00776i | ||||
\(559\) | 1.59579e26i | 1.26638i | ||||||||
\(560\) | −1.44618e26 | − | 1.76968e26i | −1.12833 | − | 1.38073i | ||||
\(561\) | −1.14203e22 | + | 3.66657e22i | −8.76055e−5 | + | 0.000281263i | ||||
\(562\) | 2.04091e25 | − | 9.06648e25i | 0.153932 | − | 0.683823i | ||||
\(563\) | 1.71090e26 | 1.26881 | 0.634403 | − | 0.773002i | \(-0.281246\pi\) | ||||
0.634403 | + | 0.773002i | \(0.281246\pi\) | |||||||
\(564\) | −1.48157e26 | − | 1.36584e26i | −1.08036 | − | 0.995974i | ||||
\(565\) | 2.05952e26 | 1.47675 | ||||||||
\(566\) | −4.58012e25 | + | 2.03466e26i | −0.322939 | + | 1.43461i | ||||
\(567\) | −1.89380e26 | + | 7.19333e25i | −1.31309 | + | 0.498759i | ||||
\(568\) | 8.91784e25 | + | 6.98202e25i | 0.608066 | + | 0.476071i | ||||
\(569\) | − | 1.43332e26i | − | 0.961115i | −0.876963 | − | 0.480558i | \(-0.840434\pi\) | ||
0.876963 | − | 0.480558i | \(-0.159566\pi\) | |||||||
\(570\) | 7.14823e25 | + | 4.12478e25i | 0.471398 | + | 0.272013i | ||||
\(571\) | − | 8.93301e25i | − | 0.579368i | −0.957122 | − | 0.289684i | \(-0.906450\pi\) | ||
0.957122 | − | 0.289684i | \(-0.0935502\pi\) | |||||||
\(572\) | −5.76894e22 | − | 2.73587e22i | −0.000367988 | − | 0.000174515i | ||||
\(573\) | 1.74115e26 | + | 5.42319e25i | 1.09236 | + | 0.340241i | ||||
\(574\) | 1.34323e24 | + | 3.02368e23i | 0.00828872 | + | 0.00186583i | ||||
\(575\) | −8.63282e25 | −0.523972 | ||||||||
\(576\) | −5.92545e25 | + | 1.56668e26i | −0.353759 | + | 0.935337i | ||||
\(577\) | 1.67041e26 | 0.980961 | 0.490481 | − | 0.871452i | \(-0.336821\pi\) | ||||
0.490481 | + | 0.871452i | \(0.336821\pi\) | |||||||
\(578\) | −2.48982e25 | − | 5.60472e24i | −0.143831 | − | 0.0323772i | ||||
\(579\) | −7.01389e25 | − | 2.18463e25i | −0.398577 | − | 0.124146i | ||||
\(580\) | −2.90884e26 | − | 1.37949e26i | −1.62612 | − | 0.771175i | ||||
\(581\) | − | 1.20642e26i | − | 0.663474i | ||||||
\(582\) | −3.60397e25 | − | 2.07962e25i | −0.194990 | − | 0.112516i | ||||
\(583\) | 8.06155e22i | 0.000429109i | ||||||||
\(584\) | 2.71248e26 | + | 2.12367e26i | 1.42051 | + | 1.11215i | ||||
\(585\) | −1.78596e26 | + | 2.58882e26i | −0.920217 | + | 1.33389i | ||||
\(586\) | 5.52178e25 | − | 2.45298e26i | 0.279931 | − | 1.24356i | ||||
\(587\) | 1.96328e26 | 0.979311 | 0.489656 | − | 0.871916i | \(-0.337122\pi\) | ||||
0.489656 | + | 0.871916i | \(0.337122\pi\) | |||||||
\(588\) | 1.45751e26 | + | 1.34366e26i | 0.715363 | + | 0.659485i | ||||
\(589\) | 1.31883e26 | 0.636934 | ||||||||
\(590\) | 5.88448e25 | − | 2.61410e26i | 0.279649 | − | 1.24231i | ||||
\(591\) | 2.77488e24 | − | 8.90891e24i | 0.0129766 | − | 0.0416623i | ||||
\(592\) | 8.69312e25 | + | 1.06378e26i | 0.400055 | + | 0.489546i | ||||
\(593\) | − | 3.26171e26i | − | 1.47715i | −0.674170 | − | 0.738577i | \(-0.735498\pi\) | ||
0.674170 | − | 0.738577i | \(-0.264502\pi\) | |||||||
\(594\) | −3.07200e22 | − | 6.46588e22i | −0.000136915 | − | 0.000288175i | ||||
\(595\) | − | 3.75369e26i | − | 1.64644i | ||||||
\(596\) | 1.66957e25 | − | 3.52051e25i | 0.0720718 | − | 0.151973i | ||||
\(597\) | 5.87936e25 | − | 1.88761e26i | 0.249790 | − | 0.801964i | ||||
\(598\) | −2.55172e26 | − | 5.74406e25i | −1.06702 | − | 0.240192i | ||||
\(599\) | −1.67035e26 | −0.687468 | −0.343734 | − | 0.939067i | \(-0.611692\pi\) | ||||
−0.343734 | + | 0.939067i | \(0.611692\pi\) | |||||||
\(600\) | −8.58129e25 | − | 1.24201e26i | −0.347629 | − | 0.503140i | ||||
\(601\) | −1.82808e26 | −0.728932 | −0.364466 | − | 0.931217i | \(-0.618749\pi\) | ||||
−0.364466 | + | 0.931217i | \(0.618749\pi\) | |||||||
\(602\) | 3.46359e26 | + | 7.79672e25i | 1.35944 | + | 0.306017i | ||||
\(603\) | −3.22535e24 | + | 4.67529e24i | −0.0124613 | + | 0.0180632i | ||||
\(604\) | −3.45023e25 | + | 7.27526e25i | −0.131219 | + | 0.276693i | ||||
\(605\) | − | 3.39077e26i | − | 1.26947i | ||||||
\(606\) | 2.65714e25 | − | 4.60482e25i | 0.0979321 | − | 0.169716i | ||||
\(607\) | 5.20544e26i | 1.88871i | 0.328933 | + | 0.944353i | \(0.393311\pi\) | ||||
−0.328933 | + | 0.944353i | \(0.606689\pi\) | |||||||
\(608\) | −1.07347e26 | + | 5.36835e25i | −0.383446 | + | 0.191759i | ||||
\(609\) | 5.40631e26 | + | 1.68391e26i | 1.90124 | + | 0.592183i | ||||
\(610\) | −1.43563e26 | + | 6.37758e26i | −0.497059 | + | 2.20812i | ||||
\(611\) | 5.50255e26 | 1.87574 | ||||||||
\(612\) | −2.38186e26 | + | 1.37667e26i | −0.799424 | + | 0.462051i | ||||
\(613\) | 2.77002e26 | 0.915396 | 0.457698 | − | 0.889108i | \(-0.348674\pi\) | ||||
0.457698 | + | 0.889108i | \(0.348674\pi\) | |||||||
\(614\) | −1.85302e25 | + | 8.23179e25i | −0.0602948 | + | 0.267852i | ||||
\(615\) | 2.28818e24 | + | 7.12705e23i | 0.00733124 | + | 0.00228348i | ||||
\(616\) | −8.75665e22 | + | 1.11845e23i | −0.000276262 | + | 0.000352858i | ||||
\(617\) | 6.18374e26i | 1.92106i | 0.278169 | + | 0.960532i | \(0.410273\pi\) | ||||
−0.278169 | + | 0.960532i | \(0.589727\pi\) | |||||||
\(618\) | 2.83266e26 | − | 4.90899e26i | 0.866571 | − | 1.50176i | ||||
\(619\) | − | 2.78796e26i | − | 0.839897i | −0.907548 | − | 0.419948i | \(-0.862048\pi\) | ||
0.907548 | − | 0.419948i | \(-0.137952\pi\) | |||||||
\(620\) | −5.74396e26 | − | 2.72402e26i | −1.70408 | − | 0.808145i | ||||
\(621\) | −1.80944e26 | − | 2.30776e26i | −0.528658 | − | 0.674248i | ||||
\(622\) | −4.93367e26 | − | 1.11059e26i | −1.41958 | − | 0.319556i | ||||
\(623\) | −2.06327e26 | −0.584681 | ||||||||
\(624\) | −1.71009e26 | − | 4.24217e26i | −0.477271 | − | 1.18395i | ||||
\(625\) | −4.50220e26 | −1.23756 | ||||||||
\(626\) | 4.23807e25 | + | 9.54011e24i | 0.114739 | + | 0.0258284i | ||||
\(627\) | 1.52540e22 | − | 4.89739e22i | 4.06764e−5 | − | 0.000130594i | ||||
\(628\) | 2.25702e26 | + | 1.07037e26i | 0.592813 | + | 0.281136i | ||||
\(629\) | 2.25638e26i | 0.583756i | ||||||||
\(630\) | 4.74632e26 | + | 5.14117e26i | 1.20955 | + | 1.31017i | ||||
\(631\) | − | 2.48783e26i | − | 0.624514i | −0.949998 | − | 0.312257i | \(-0.898915\pi\) | ||
0.949998 | − | 0.312257i | \(-0.101085\pi\) | |||||||
\(632\) | 9.17387e25 | − | 1.17174e26i | 0.226851 | − | 0.289747i | ||||
\(633\) | 6.78777e25 | − | 2.17926e26i | 0.165345 | − | 0.530852i | ||||
\(634\) | −6.99915e25 | + | 3.10928e26i | −0.167957 | + | 0.746125i | ||||
\(635\) | 4.33194e25 | 0.102407 | ||||||||
\(636\) | −3.91438e26 | + | 4.24605e26i | −0.911634 | + | 0.988877i | ||||
\(637\) | −5.41320e26 | −1.24202 | ||||||||
\(638\) | −4.39425e22 | + | 1.95209e23i | −9.93318e−5 | + | 0.000441268i | ||||
\(639\) | −2.85424e26 | − | 1.96906e26i | −0.635671 | − | 0.438532i | ||||
\(640\) | 5.78412e26 | − | 1.20875e25i | 1.26919 | − | 0.0265232i | ||||
\(641\) | 3.31518e26i | 0.716730i | 0.933581 | + | 0.358365i | \(0.116666\pi\) | ||||
−0.933581 | + | 0.358365i | \(0.883334\pi\) | |||||||
\(642\) | 1.25221e26 | + | 7.22568e25i | 0.266743 | + | 0.153920i | ||||
\(643\) | 3.39062e26i | 0.711665i | 0.934550 | + | 0.355832i | \(0.115803\pi\) | ||||
−0.934550 | + | 0.355832i | \(0.884197\pi\) | |||||||
\(644\) | −2.49344e26 | + | 5.25774e26i | −0.515683 | + | 1.08739i | ||||
\(645\) | 5.90020e26 | + | 1.83775e26i | 1.20240 | + | 0.374514i | ||||
\(646\) | −1.92316e26 | − | 4.32914e25i | −0.386195 | − | 0.0869345i | ||||
\(647\) | −9.61083e26 | −1.90182 | −0.950912 | − | 0.309463i | \(-0.899851\pi\) | ||||
−0.950912 | + | 0.309463i | \(0.899851\pi\) | |||||||
\(648\) | 1.52155e26 | − | 4.89725e26i | 0.296704 | − | 0.954969i | ||||
\(649\) | −1.66540e23 | −0.000320032 | ||||||||
\(650\) | 4.02168e26 | + | 9.05301e25i | 0.761607 | + | 0.171442i | ||||
\(651\) | 1.06756e27 | + | 3.32515e26i | 1.99238 | + | 0.620572i | ||||
\(652\) | 1.28636e26 | − | 2.71245e26i | 0.236597 | − | 0.498896i | ||||
\(653\) | − | 4.95688e26i | − | 0.898531i | −0.893398 | − | 0.449265i | \(-0.851686\pi\) | ||
0.893398 | − | 0.449265i | \(-0.148314\pi\) | |||||||
\(654\) | 4.70584e26 | + | 2.71544e26i | 0.840714 | + | 0.485122i | ||||
\(655\) | 4.73774e26i | 0.834216i | ||||||||
\(656\) | −2.69883e24 | + | 2.20547e24i | −0.00468369 | + | 0.00382749i | ||||
\(657\) | −8.68154e26 | − | 5.98915e26i | −1.48500 | − | 1.02446i | ||||
\(658\) | 2.68843e26 | − | 1.19430e27i | 0.453266 | − | 2.01357i | ||||
\(659\) | −1.20198e27 | −1.99750 | −0.998749 | − | 0.0500136i | \(-0.984074\pi\) | ||||
−0.998749 | + | 0.0500136i | \(0.984074\pi\) | |||||||
\(660\) | −1.67591e23 | + | 1.81791e23i | −0.000274525 | + | 0.000297786i | ||||
\(661\) | −2.59952e26 | −0.419739 | −0.209870 | − | 0.977729i | \(-0.567304\pi\) | ||||
−0.209870 | + | 0.977729i | \(0.567304\pi\) | |||||||
\(662\) | 1.91677e26 | − | 8.51500e26i | 0.305084 | − | 1.35529i | ||||
\(663\) | 2.23402e26 | − | 7.17247e26i | 0.350517 | − | 1.12536i | ||||
\(664\) | 2.40462e26 | + | 1.88265e26i | 0.371921 | + | 0.291187i | ||||
\(665\) | 5.01376e26i | 0.764465i | ||||||||
\(666\) | −2.85307e26 | − | 3.09041e26i | −0.428852 | − | 0.464528i | ||||
\(667\) | 8.19696e26i | 1.21467i | ||||||||
\(668\) | −4.68495e25 | − | 2.22180e25i | −0.0684429 | − | 0.0324584i | ||||
\(669\) | −3.47225e26 | + | 1.11479e27i | −0.500106 | + | 1.60562i | ||||
\(670\) | 1.91392e25 | + | 4.30834e24i | 0.0271778 | + | 0.00611786i | ||||
\(671\) | 4.06304e23 | 0.000568837 | ||||||||
\(672\) | −1.00429e27 | + | 1.63902e26i | −1.38628 | + | 0.226244i | ||||
\(673\) | 1.96867e26 | 0.267935 | 0.133968 | − | 0.990986i | \(-0.457228\pi\) | ||||
0.133968 | + | 0.990986i | \(0.457228\pi\) | |||||||
\(674\) | 3.64902e26 | + | 8.21414e25i | 0.489675 | + | 0.110228i | ||||
\(675\) | 2.85180e26 | + | 3.63718e26i | 0.377340 | + | 0.481259i | ||||
\(676\) | 4.35973e26 | + | 2.06756e26i | 0.568808 | + | 0.269752i | ||||
\(677\) | 6.59183e26i | 0.848035i | 0.905654 | + | 0.424018i | \(0.139381\pi\) | ||||
−0.905654 | + | 0.424018i | \(0.860619\pi\) | |||||||
\(678\) | 4.58309e26 | − | 7.94247e26i | 0.581401 | − | 1.00757i | ||||
\(679\) | − | 2.52782e26i | − | 0.316216i | ||||||
\(680\) | 7.48183e26 | + | 5.85773e26i | 0.922940 | + | 0.722594i | ||||
\(681\) | −2.97981e26 | − | 9.28128e25i | −0.362486 | − | 0.112904i | ||||
\(682\) | −8.67713e22 | + | 3.85470e23i | −0.000104094 | + | 0.000462423i | ||||
\(683\) | 1.37366e27 | 1.62511 | 0.812554 | − | 0.582886i | \(-0.198077\pi\) | ||||
0.812554 | + | 0.582886i | \(0.198077\pi\) | |||||||
\(684\) | 3.18142e26 | − | 1.83880e26i | 0.371183 | − | 0.214536i | ||||
\(685\) | −7.45273e26 | −0.857541 | ||||||||
\(686\) | 7.34829e24 | − | 3.26438e25i | 0.00833887 | − | 0.0370443i | ||||
\(687\) | 7.63458e26 | + | 2.37796e26i | 0.854468 | + | 0.266143i | ||||
\(688\) | −6.95906e26 | + | 5.68691e26i | −0.768175 | + | 0.627749i | ||||
\(689\) | − | 1.57699e27i | − | 1.71690i | ||||||
\(690\) | −5.06239e26 | + | 8.77310e26i | −0.543612 | + | 0.942077i | ||||
\(691\) | − | 1.46759e27i | − | 1.55440i | −0.629253 | − | 0.777201i | \(-0.716639\pi\) | ||
0.629253 | − | 0.777201i | \(-0.283361\pi\) | |||||||
\(692\) | 6.62300e26 | − | 1.39655e27i | 0.691906 | − | 1.45897i | ||||
\(693\) | 2.46954e23 | − | 3.57971e23i | 0.000254478 | − | 0.000368877i | ||||
\(694\) | −1.02239e26 | − | 2.30144e25i | −0.103920 | − | 0.0233930i | ||||
\(695\) | −2.03494e26 | −0.204031 | ||||||||
\(696\) | −1.17931e27 | + | 8.14803e26i | −1.16638 | + | 0.805870i | ||||
\(697\) | −5.72450e24 | −0.00558504 | ||||||||
\(698\) | 5.58639e26 | + | 1.25753e26i | 0.537657 | + | 0.121029i | ||||
\(699\) | 7.86094e25 | − | 2.52380e26i | 0.0746348 | − | 0.239619i | ||||
\(700\) | 3.92982e26 | − | 8.28654e26i | 0.368079 | − | 0.776143i | ||||
\(701\) | 2.82602e25i | 0.0261128i | 0.999915 | + | 0.0130564i | \(0.00415610\pi\) | ||||
−0.999915 | + | 0.0130564i | \(0.995844\pi\) | |||||||
\(702\) | 6.00939e26 | + | 1.26484e27i | 0.547807 | + | 1.15301i | ||||
\(703\) | − | 3.01382e26i | − | 0.271046i | ||||||
\(704\) | −8.62791e22 | − | 3.49074e23i | −7.65536e−5 | − | 0.000309726i | ||||
\(705\) | 6.33684e26 | − | 2.03448e27i | 0.554723 | − | 1.78097i | ||||
\(706\) | −5.79111e25 | + | 2.57263e26i | −0.0500170 | + | 0.222194i | ||||
\(707\) | 3.22981e26 | 0.275228 | ||||||||
\(708\) | −8.77171e26 | − | 8.08654e26i | −0.737511 | − | 0.679903i | ||||
\(709\) | 1.61811e27 | 1.34236 | 0.671181 | − | 0.741293i | \(-0.265787\pi\) | ||||
0.671181 | + | 0.741293i | \(0.265787\pi\) | |||||||
\(710\) | −2.63022e26 | + | 1.16844e27i | −0.215297 | + | 0.956429i | ||||
\(711\) | −2.58720e26 | + | 3.75027e26i | −0.208963 | + | 0.302901i | ||||
\(712\) | 3.21978e26 | − | 4.11249e26i | 0.256606 | − | 0.327752i | ||||
\(713\) | 1.61862e27i | 1.27290i | ||||||||
\(714\) | −1.44760e27 | − | 8.35315e26i | −1.12335 | − | 0.648212i | ||||
\(715\) | − | 6.75172e23i | − | 0.000517020i | ||||||
\(716\) | 4.59587e26 | + | 2.17955e26i | 0.347291 | + | 0.164700i | ||||
\(717\) | −1.81825e26 | − | 5.66336e25i | −0.135588 | − | 0.0422320i | ||||
\(718\) | −4.10060e26 | − | 9.23065e25i | −0.301762 | − | 0.0679282i | ||||
\(719\) | −1.73484e27 | −1.25990 | −0.629948 | − | 0.776638i | \(-0.716924\pi\) | ||||
−0.629948 | + | 0.776638i | \(0.716924\pi\) | |||||||
\(720\) | −1.76541e27 | + | 1.43742e26i | −1.26528 | + | 0.103021i | ||||
\(721\) | 3.44316e27 | 2.43541 | ||||||||
\(722\) | −1.14068e27 | − | 2.56774e26i | −0.796272 | − | 0.179245i | ||||
\(723\) | 2.54696e26 | + | 7.93308e25i | 0.175472 | + | 0.0546547i | ||||
\(724\) | 1.88260e27 | + | 8.92807e26i | 1.28009 | + | 0.607073i | ||||
\(725\) | − | 1.29189e27i | − | 0.866994i | ||||||
\(726\) | −1.30764e27 | − | 7.54554e26i | −0.866143 | − | 0.499795i | ||||
\(727\) | − | 4.19437e26i | − | 0.274214i | −0.990556 | − | 0.137107i | \(-0.956220\pi\) | ||
0.990556 | − | 0.137107i | \(-0.0437804\pi\) | |||||||
\(728\) | 1.71296e27 | − | 2.18789e27i | 1.10535 | − | 1.41181i | ||||
\(729\) | −3.74564e26 | + | 1.52471e27i | −0.238569 | + | 0.971125i | ||||
\(730\) | −8.00016e26 | + | 3.55397e27i | −0.502958 | + | 2.23432i | ||||
\(731\) | −1.47609e27 | −0.916006 | ||||||||
\(732\) | 2.14002e27 | + | 1.97286e27i | 1.31088 | + | 1.20848i | ||||
\(733\) | −9.43357e26 | −0.570411 | −0.285206 | − | 0.958466i | \(-0.592062\pi\) | ||||
−0.285206 | + | 0.958466i | \(0.592062\pi\) | |||||||
\(734\) | 1.15924e26 | − | 5.14979e26i | 0.0691931 | − | 0.307381i | ||||
\(735\) | −6.23394e26 | + | 2.00145e27i | −0.367310 | + | 1.17927i | ||||
\(736\) | −6.58863e26 | − | 1.31747e27i | −0.383227 | − | 0.766308i | ||||
\(737\) | − | 1.21933e22i | − | 7.00131e-6i | ||||||
\(738\) | 7.84046e24 | − | 7.23831e24i | 0.00444433 | − | 0.00410300i | ||||
\(739\) | − | 8.35344e26i | − | 0.467459i | −0.972302 | − | 0.233729i | \(-0.924907\pi\) | ||
0.972302 | − | 0.233729i | \(-0.0750929\pi\) | |||||||
\(740\) | −6.22499e26 | + | 1.31262e27i | −0.343904 | + | 0.725167i | ||||
\(741\) | −2.98396e26 | + | 9.58018e26i | −0.162750 | + | 0.522517i | ||||
\(742\) | −3.42277e27 | − | 7.70482e26i | −1.84306 | − | 0.414883i | ||||
\(743\) | 2.64337e26 | 0.140528 | 0.0702642 | − | 0.997528i | \(-0.477616\pi\) | ||||
0.0702642 | + | 0.997528i | \(0.477616\pi\) | |||||||
\(744\) | −2.32872e27 | + | 1.60896e27i | −1.22229 | + | 0.844503i | ||||
\(745\) | 4.12026e26 | 0.213520 | ||||||||
\(746\) | −2.02028e27 | − | 4.54775e26i | −1.03370 | − | 0.232690i | ||||
\(747\) | −7.69623e26 | − | 5.30941e26i | −0.388805 | − | 0.268226i | ||||
\(748\) | 2.53065e23 | − | 5.33621e23i | 0.000126231 | − | 0.000266175i | ||||
\(749\) | 8.78296e26i | 0.432577i | ||||||||
\(750\) | −5.06792e26 | + | 8.78268e26i | −0.246461 | + | 0.427115i | ||||
\(751\) | 7.40863e26i | 0.355761i | 0.984052 | + | 0.177881i | \(0.0569241\pi\) | ||||
−0.984052 | + | 0.177881i | \(0.943076\pi\) | |||||||
\(752\) | 1.96094e27 | + | 2.39959e27i | 0.929810 | + | 1.13781i | ||||
\(753\) | 1.74453e27 | + | 5.43372e26i | 0.816819 | + | 0.254416i | ||||
\(754\) | 8.59595e26 | − | 3.81864e27i | 0.397435 | − | 1.76555i | ||||
\(755\) | −8.51466e26 | −0.388751 | ||||||||
\(756\) | 3.03888e27 | − | 6.86330e26i | 1.37011 | − | 0.309440i | ||||
\(757\) | 4.40332e26 | 0.196051 | 0.0980256 | − | 0.995184i | \(-0.468747\pi\) | ||||
0.0980256 | + | 0.995184i | \(0.468747\pi\) | |||||||
\(758\) | −7.66476e26 | + | 3.40497e27i | −0.337009 | + | 1.49712i | ||||
\(759\) | 6.01062e23 | + | 1.87214e23i | 0.000260989 | + | 8.12908e-5i | ||||
\(760\) | −9.99339e26 | − | 7.82410e26i | −0.428533 | − | 0.335510i | ||||
\(761\) | − | 9.18035e26i | − | 0.388781i | −0.980924 | − | 0.194391i | \(-0.937727\pi\) | ||
0.980924 | − | 0.194391i | \(-0.0622729\pi\) | |||||||
\(762\) | 9.63993e25 | − | 1.67060e26i | 0.0403183 | − | 0.0698714i | ||||
\(763\) | 3.30067e27i | 1.36339i | ||||||||
\(764\) | −2.53401e27 | − | 1.20173e27i | −1.03377 | − | 0.490254i | ||||
\(765\) | −2.39463e27 | − | 1.65199e27i | −0.964840 | − | 0.665616i | ||||
\(766\) | 3.87412e27 | + | 8.72084e26i | 1.54170 | + | 0.347044i | ||||
\(767\) | 3.25782e27 | 1.28048 | ||||||||
\(768\) | 1.24053e27 | − | 2.25752e27i | 0.481590 | − | 0.876397i | ||||
\(769\) | −1.39213e27 | −0.533803 | −0.266902 | − | 0.963724i | \(-0.586000\pi\) | ||||
−0.266902 | + | 0.963724i | \(0.586000\pi\) | |||||||
\(770\) | −1.46543e24 | − | 3.29875e23i | −0.000555012 | − | 0.000124936i | ||||
\(771\) | 9.37469e26 | − | 3.00980e27i | 0.350704 | − | 1.12596i | ||||
\(772\) | 1.02078e27 | + | 4.84096e26i | 0.377196 | + | 0.178882i | ||||
\(773\) | − | 3.07759e27i | − | 1.12333i | −0.827366 | − | 0.561663i | \(-0.810162\pi\) | ||
0.827366 | − | 0.561663i | \(-0.189838\pi\) | |||||||
\(774\) | 2.02170e27 | − | 1.86643e27i | 0.728917 | − | 0.672936i | ||||
\(775\) | − | 2.55105e27i | − | 0.908557i | ||||||
\(776\) | 5.03844e26 | + | 3.94473e26i | 0.177260 | + | 0.138781i | ||||
\(777\) | 7.59870e26 | − | 2.43961e27i | 0.264082 | − | 0.847853i | ||||
\(778\) | −5.86223e26 | + | 2.60422e27i | −0.201260 | + | 0.894070i | ||||
\(779\) | 7.64615e24 | 0.00259321 | ||||||||
\(780\) | 3.27838e27 | − | 3.55615e27i | 1.09840 | − | 1.19147i | ||||
\(781\) | 7.44394e23 | 0.000246387 | ||||||||
\(782\) | 5.31319e26 | − | 2.36032e27i | 0.173737 | − | 0.771802i | ||||
\(783\) | 3.45354e27 | − | 2.70782e27i | 1.11565 | − | 0.874748i | ||||
\(784\) | −1.92909e27 | − | 2.36063e27i | −0.615674 | − | 0.753399i | ||||
\(785\) | 2.64151e27i | 0.832897i | ||||||||
\(786\) | 1.82709e27 | + | 1.05430e27i | 0.569175 | + | 0.328434i | ||||
\(787\) | − | 1.17722e27i | − | 0.362323i | −0.983453 | − | 0.181162i | \(-0.942014\pi\) | ||
0.983453 | − | 0.181162i | \(-0.0579857\pi\) | |||||||
\(788\) | −6.14889e25 | + | 1.29657e26i | −0.0186981 | + | 0.0394274i | ||||
\(789\) | 2.55311e27 | + | 7.95223e26i | 0.767075 | + | 0.238923i | ||||
\(790\) | 1.53525e27 | + | 3.45592e26i | 0.455745 | + | 0.102590i | ||||
\(791\) | 5.57083e27 | 1.63397 | ||||||||
\(792\) | 3.28127e23 | + | 1.05085e24i | 9.50940e−5 | + | 0.000304545i | ||||
\(793\) | −7.94805e27 | −2.27596 | ||||||||
\(794\) | −3.35859e27 | − | 7.56035e26i | −0.950302 | − | 0.213918i | ||||
\(795\) | −5.83066e27 | − | 1.81609e27i | −1.63016 | − | 0.507749i | ||||
\(796\) | −1.30282e27 | + | 2.74716e27i | −0.359923 | + | 0.758945i | ||||
\(797\) | 4.60115e27i | 1.25606i | 0.778187 | + | 0.628032i | \(0.216139\pi\) | ||||
−0.778187 | + | 0.628032i | \(0.783861\pi\) | |||||||
\(798\) | 1.93354e27 | + | 1.11572e27i | 0.521585 | + | 0.300973i | ||||
\(799\) | 5.08980e27i | 1.35677i | ||||||||
\(800\) | 1.03841e27 | + | 2.07643e27i | 0.273536 | + | 0.546968i | ||||
\(801\) | −9.08039e26 | + | 1.31624e27i | −0.236372 | + | 0.342631i | ||||
\(802\) | 1.72752e26 | − | 7.67429e26i | 0.0444393 | − | 0.197416i | ||||
\(803\) | 2.26417e24 | 0.000575587 | ||||||||
\(804\) | 5.92059e25 | − | 6.42224e25i | 0.0148742 | − | 0.0161345i | ||||
\(805\) | −6.15343e27 | −1.52777 | ||||||||
\(806\) | 1.69740e27 | − | 7.54049e27i | 0.416488 | − | 1.85019i | ||||
\(807\) | −1.47545e27 | + | 4.73702e27i | −0.357788 | + | 1.14870i | ||||
\(808\) | −5.04020e26 | + | 6.43764e26i | −0.120793 | + | 0.154283i | ||||
\(809\) | 3.58857e26i | 0.0849984i | 0.999097 | + | 0.0424992i | \(0.0135320\pi\) | ||||
−0.999097 | + | 0.0424992i | \(0.986468\pi\) | |||||||
\(810\) | 5.36861e27 | − | 7.65258e26i | 1.25677 | − | 0.179143i | ||||
\(811\) | 4.33582e27i | 1.00317i | 0.865109 | + | 0.501583i | \(0.167249\pi\) | ||||
−0.865109 | + | 0.501583i | \(0.832751\pi\) | |||||||
\(812\) | −7.86817e27 | − | 3.73141e27i | −1.79925 | − | 0.853279i | ||||
\(813\) | −1.52247e27 | + | 4.88799e27i | −0.344103 | + | 1.10476i | ||||
\(814\) | 8.80884e23 | + | 1.98291e23i | 0.000196783 | + | 4.42968e-5i | ||||
\(815\) | 3.17454e27 | 0.700944 | ||||||||
\(816\) | 3.92396e27 | − | 1.58181e27i | 0.856383 | − | 0.345222i | ||||
\(817\) | 1.97160e27 | 0.425313 | ||||||||
\(818\) | 5.41114e27 | + | 1.21808e27i | 1.15381 | + | 0.259727i | ||||
\(819\) | −4.83086e27 | + | 7.00255e27i | −1.01819 | + | 1.47591i | ||||
\(820\) | −3.33015e25 | − | 1.57930e25i | −0.00693797 | − | 0.00329027i | ||||
\(821\) | − | 5.12796e27i | − | 1.05605i | −0.849229 | − | 0.528025i | \(-0.822933\pi\) | ||
0.849229 | − | 0.528025i | \(-0.177067\pi\) | |||||||
\(822\) | −1.65847e27 | + | 2.87412e27i | −0.337618 | + | 0.585090i | ||||
\(823\) | − | 6.26001e27i | − | 1.25973i | −0.776706 | − | 0.629864i | \(-0.783111\pi\) | ||
0.776706 | − | 0.629864i | \(-0.216889\pi\) | |||||||
\(824\) | −5.37314e27 | + | 6.86288e27i | −1.06886 | + | 1.36521i | ||||
\(825\) | −9.47312e23 | − | 2.95061e23i | −0.000186286 | − | 5.80229e-5i | ||||
\(826\) | 1.59170e27 | − | 7.07093e27i | 0.309422 | − | 1.37457i | ||||
\(827\) | −1.47904e27 | −0.284235 | −0.142117 | − | 0.989850i | \(-0.545391\pi\) | ||||
−0.142117 | + | 0.989850i | \(0.545391\pi\) | |||||||
\(828\) | 2.25677e27 | + | 3.90459e27i | 0.428746 | + | 0.741800i | ||||
\(829\) | 4.98144e27 | 0.935593 | 0.467797 | − | 0.883836i | \(-0.345048\pi\) | ||||
0.467797 | + | 0.883836i | \(0.345048\pi\) | |||||||
\(830\) | −7.09218e26 | + | 3.15061e27i | −0.131686 | + | 0.584996i | ||||
\(831\) | −8.20712e27 | − | 2.55629e27i | −1.50654 | − | 0.469246i | ||||
\(832\) | 1.68778e27 | + | 6.82852e27i | 0.306297 | + | 1.23924i | ||||
\(833\) | − | 5.00715e27i | − | 0.898386i | ||||||
\(834\) | −4.52839e26 | + | 7.84769e26i | −0.0803279 | + | 0.139208i | ||||
\(835\) | − | 5.48306e26i | − | 0.0961616i | ||||||
\(836\) | −3.38016e23 | + | 7.12751e23i | −5.86108e−5 | + | 0.000123588i | ||||
\(837\) | 6.81956e27 | − | 5.34701e27i | 1.16913 | − | 0.916683i | ||||
\(838\) | 2.21695e27 | + | 4.99046e26i | 0.375783 | + | 0.0845906i | ||||
\(839\) | −3.55811e27 | −0.596323 | −0.298161 | − | 0.954516i | \(-0.596373\pi\) | ||||
−0.298161 | + | 0.954516i | \(0.596373\pi\) | |||||||
\(840\) | −6.11670e27 | − | 8.85301e27i | −1.01359 | − | 1.46703i | ||||
\(841\) | −6.16344e27 | −1.00986 | ||||||||
\(842\) | −2.61803e27 | − | 5.89331e26i | −0.424140 | − | 0.0954761i | ||||
\(843\) | 1.30122e27 | − | 4.17766e27i | 0.208444 | − | 0.669224i | ||||
\(844\) | −1.50411e27 | + | 3.17162e27i | −0.238247 | + | 0.502375i | ||||
\(845\) | 5.10244e27i | 0.799170i | ||||||||
\(846\) | −6.43576e27 | − | 6.97115e27i | −0.996739 | − | 1.07966i | ||||
\(847\) | − | 9.17175e27i | − | 1.40462i | ||||||
\(848\) | 6.87704e27 | − | 5.61988e27i | 1.04146 | − | 0.851073i | ||||
\(849\) | −2.92015e27 | + | 9.37531e27i | −0.437302 | + | 1.40398i | ||||
\(850\) | −8.37394e26 | + | 3.72001e27i | −0.124008 | + | 0.550889i | ||||
\(851\) | 3.69890e27 | 0.541678 | ||||||||
\(852\) | 3.92075e27 | + | 3.61449e27i | 0.567797 | + | 0.523445i | ||||
\(853\) | 9.03837e27 | 1.29442 | 0.647209 | − | 0.762313i | \(-0.275936\pi\) | ||||
0.647209 | + | 0.762313i | \(0.275936\pi\) | |||||||
\(854\) | −3.88325e27 | + | 1.72508e28i | −0.549978 | + | 2.44321i | ||||
\(855\) | 3.19848e27 | + | 2.20654e27i | 0.447987 | + | 0.309054i | ||||
\(856\) | −1.75061e27 | − | 1.37060e27i | −0.242488 | − | 0.189850i | ||||
\(857\) | − | 2.45385e27i | − | 0.336148i | −0.985774 | − | 0.168074i | \(-0.946245\pi\) | ||
0.985774 | − | 0.168074i | \(-0.0537547\pi\) | |||||||
\(858\) | −2.60378e24 | − | 1.50247e24i | −0.000352756 | − | 0.000203553i | ||||
\(859\) | 9.67531e27i | 1.29637i | 0.761482 | + | 0.648186i | \(0.224472\pi\) | ||||
−0.761482 | + | 0.648186i | \(0.775528\pi\) | |||||||
\(860\) | −8.58696e27 | − | 4.07229e27i | −1.13790 | − | 0.539639i | ||||
\(861\) | 6.18935e25 | + | 1.92781e25i | 0.00811176 | + | 0.00252659i | ||||
\(862\) | 2.18927e27 | + | 4.92816e26i | 0.283779 | + | 0.0638801i | ||||
\(863\) | 1.31764e28 | 1.68925 | 0.844624 | − | 0.535361i | \(-0.179824\pi\) | ||||
0.844624 | + | 0.535361i | \(0.179824\pi\) | |||||||
\(864\) | −3.37427e27 | + | 7.12812e27i | −0.427857 | + | 0.903846i | ||||
\(865\) | 1.63446e28 | 2.04984 | ||||||||
\(866\) | 9.69499e27 | + | 2.18239e27i | 1.20262 | + | 0.270715i | ||||
\(867\) | −1.14726e27 | − | 3.57340e26i | −0.140761 | − | 0.0438430i | ||||
\(868\) | −1.55369e28 | − | 7.36825e27i | −1.88551 | − | 0.894184i | ||||
\(869\) | − | 9.78080e23i | − | 0.000117405i | ||||||
\(870\) | −1.31289e28 | − | 7.57583e27i | −1.55882 | − | 0.899492i | ||||
\(871\) | 2.38523e26i | 0.0280128i | ||||||||
\(872\) | −6.57887e27 | − | 5.15078e27i | −0.764267 | − | 0.598365i | ||||
\(873\) | −1.61260e27 | − | 1.11249e27i | −0.185307 | − | 0.127838i | ||||
\(874\) | −7.09677e26 | + | 3.15265e27i | −0.0806681 | + | 0.358358i | ||||
\(875\) | −6.16016e27 | −0.692652 | ||||||||
\(876\) | 1.19255e28 | + | 1.09939e28i | 1.32644 | + | 1.22282i | ||||
\(877\) | −6.64144e27 | −0.730745 | −0.365373 | − | 0.930861i | \(-0.619058\pi\) | ||||
−0.365373 | + | 0.930861i | \(0.619058\pi\) | |||||||
\(878\) | 2.88858e27 | − | 1.28321e28i | 0.314403 | − | 1.39669i | ||||
\(879\) | 3.52052e27 | − | 1.13028e28i | 0.379064 | − | 1.21701i | ||||
\(880\) | 2.94434e24 | − | 2.40610e24i | 0.000313619 | − | 0.000256288i | ||||
\(881\) | − | 8.95581e27i | − | 0.943699i | −0.881679 | − | 0.471850i | \(-0.843587\pi\) | ||
0.881679 | − | 0.471850i | \(-0.156413\pi\) | |||||||
\(882\) | 6.33125e27 | + | 6.85795e27i | 0.659991 | + | 0.714896i | ||||
\(883\) | − | 2.47145e27i | − | 0.254873i | −0.991847 | − | 0.127437i | \(-0.959325\pi\) | ||
0.991847 | − | 0.127437i | \(-0.0406750\pi\) | |||||||
\(884\) | −4.95041e27 | + | 1.04386e28i | −0.505062 | + | 1.06499i | ||||
\(885\) | 3.75177e27 | − | 1.20453e28i | 0.378682 | − | 1.21578i | ||||
\(886\) | −4.19942e27 | − | 9.45312e26i | −0.419343 | − | 0.0943963i | ||||
\(887\) | 8.06467e27 | 0.796732 | 0.398366 | − | 0.917227i | \(-0.369577\pi\) | ||||
0.398366 | + | 0.917227i | \(0.369577\pi\) | |||||||
\(888\) | 3.67682e27 | + | 5.32164e27i | 0.359376 | + | 0.520143i | ||||
\(889\) | 1.17175e27 | 0.113310 | ||||||||
\(890\) | 5.38831e27 | + | 1.21294e27i | 0.515522 | + | 0.116047i | ||||
\(891\) | −1.19680e24 | − | 3.15084e24i | −0.000113288 | − | 0.000298255i | ||||
\(892\) | 7.69420e27 | − | 1.62242e28i | 0.720605 | − | 1.51949i | ||||
\(893\) | − | 6.79839e27i | − | 0.629966i | ||||||
\(894\) | 9.16888e26 | − | 1.58896e27i | 0.0840639 | − | 0.145682i | ||||
\(895\) | 5.37881e27i | 0.487941i | ||||||||
\(896\) | 1.56456e28 | − | 3.26957e26i | 1.40432 | − | 0.0293470i | ||||
\(897\) | −1.17579e28 | − | 3.66224e27i | −1.04424 | − | 0.325251i | ||||
\(898\) | 9.47210e26 | − | 4.20785e27i | 0.0832379 | − | 0.369773i | ||||
\(899\) | −2.42225e28 | −2.10621 | ||||||||
\(900\) | −3.55682e27 | − | 6.15388e27i | −0.306026 | − | 0.529475i | ||||
\(901\) | 1.45869e28 | 1.24188 | ||||||||
\(902\) | −5.03071e21 | + | 2.23482e22i | −4.23806e−7 | + | 1.88270e-6i | ||||
\(903\) | 1.59596e28 | + | 4.97095e27i | 1.33041 | + | 0.414387i | ||||
\(904\) | −8.69343e27 | + | 1.11038e28i | −0.717119 | + | 0.915946i | ||||
\(905\) | 2.20332e28i | 1.79852i | ||||||||
\(906\) | −1.89478e27 | + | 3.28365e27i | −0.153053 | + | 0.265240i | ||||
\(907\) | − | 1.25220e28i | − | 1.00093i | −0.865755 | − | 0.500467i | \(-0.833162\pi\) | ||
0.865755 | − | 0.500467i | \(-0.166838\pi\) | |||||||
\(908\) | 4.33672e27 | + | 2.05665e27i | 0.343041 | + | 0.162684i | ||||
\(909\) | 1.42143e27 | − | 2.06043e27i | 0.111268 | − | 0.161288i | ||||
\(910\) | 2.86664e28 | + | 6.45295e27i | 2.22065 | + | 0.499879i | ||||
\(911\) | −1.09901e27 | −0.0842511 | −0.0421255 | − | 0.999112i | \(-0.513413\pi\) | ||||
−0.0421255 | + | 0.999112i | \(0.513413\pi\) | |||||||
\(912\) | −5.24119e27 | + | 2.11281e27i | −0.397629 | + | 0.160291i | ||||
\(913\) | 2.00720e24 | 0.000150702 | ||||||||
\(914\) | −1.85808e28 | − | 4.18264e27i | −1.38063 | − | 0.310786i | ||||
\(915\) | −9.15312e27 | + | 2.93867e28i | −0.673084 | + | 2.16098i | ||||
\(916\) | −1.11111e28 | − | 5.26935e27i | −0.808632 | − | 0.383487i | ||||
\(917\) | 1.28152e28i | 0.923031i | ||||||||
\(918\) | −1.16997e28 | + | 5.55861e27i | −0.834003 | + | 0.396243i | ||||
\(919\) | − | 1.83014e27i | − | 0.129118i | −0.997914 | − | 0.0645591i | \(-0.979436\pi\) | ||
0.997914 | − | 0.0645591i | \(-0.0205641\pi\) | |||||||
\(920\) | 9.60260e27 | − | 1.22650e28i | 0.670509 | − | 0.856413i | ||||
\(921\) | −1.18143e27 | + | 3.79305e27i | −0.0816472 | + | 0.262133i | ||||
\(922\) | 2.09654e27 | − | 9.31359e27i | 0.143403 | − | 0.637050i | ||||
\(923\) | −1.45617e28 | −0.985815 | ||||||||
\(924\) | −4.53319e24 | + | 4.91729e24i | −0.000303753 | + | 0.000329490i | ||||
\(925\) | −5.82970e27 | −0.386634 | ||||||||
\(926\) | −1.87582e26 | + | 8.33308e26i | −0.0123136 | + | 0.0547018i | ||||
\(927\) | 1.51533e28 | − | 2.19653e28i | 0.984574 | − | 1.42718i | ||||
\(928\) | 1.97159e28 | − | 9.85984e27i | 1.26798 | − | 0.634109i | ||||
\(929\) | − | 2.18069e27i | − | 0.138818i | −0.997588 | − | 0.0694088i | \(-0.977889\pi\) | ||
0.997588 | − | 0.0694088i | \(-0.0221113\pi\) | |||||||
\(930\) | −2.59250e28 | − | 1.49597e28i | −1.63354 | − | 0.942613i | ||||
\(931\) | 6.68799e27i | 0.417132i | ||||||||
\(932\) | −1.74192e27 | + | 3.67306e27i | −0.107542 | + | 0.226766i | ||||
\(933\) | −2.27334e28 | − | 7.08082e27i | −1.38928 | − | 0.432721i | ||||
\(934\) | 8.99057e27 | + | 2.02382e27i | 0.543866 | + | 0.122427i | ||||
\(935\) | 6.24527e24 | 0.000373973 | ||||||||
\(936\) | −6.41876e27 | − | 2.05565e28i | −0.380479 | − | 1.21851i | ||||
\(937\) | 7.08161e27 | 0.415534 | 0.207767 | − | 0.978178i | \(-0.433380\pi\) | ||||
0.207767 | + | 0.978178i | \(0.433380\pi\) | |||||||
\(938\) | 5.17701e26 | + | 1.16537e26i | 0.0300713 | + | 0.00676920i | ||||
\(939\) | 1.95282e27 | + | 6.08249e26i | 0.112290 | + | 0.0349750i | ||||
\(940\) | −1.40419e28 | + | 2.96092e28i | −0.799303 | + | 1.68544i | ||||
\(941\) | 4.27735e27i | 0.241031i | 0.992711 | + | 0.120516i | \(0.0384548\pi\) | ||||
−0.992711 | + | 0.120516i | \(0.961545\pi\) | |||||||
\(942\) | 1.01869e28 | + | 5.87821e27i | 0.568275 | + | 0.327915i | ||||
\(943\) | 9.38420e25i | 0.00518246i | ||||||||
\(944\) | 1.16099e28 | + | 1.42070e28i | 0.634735 | + | 0.776724i | ||||
\(945\) | 2.03275e28 | + | 2.59256e28i | 1.10023 | + | 1.40322i | ||||
\(946\) | −1.29719e24 | + | 5.76261e24i | −6.95086e−5 | + | 0.000308783i | ||||
\(947\) | 9.95537e27 | 0.528120 | 0.264060 | − | 0.964506i | \(-0.414938\pi\) | ||||
0.264060 | + | 0.964506i | \(0.414938\pi\) | |||||||
\(948\) | 4.74918e27 | − | 5.15158e27i | 0.249425 | − | 0.270559i | ||||
\(949\) | −4.42912e28 | −2.30297 | ||||||||
\(950\) | 1.11850e27 | − | 4.96878e27i | 0.0575785 | − | 0.255785i | ||||
\(951\) | −4.46245e27 | + | 1.43270e28i | −0.227436 | + | 0.730196i | ||||
\(952\) | 2.02377e28 | + | 1.58447e28i | 1.02120 | + | 0.799525i | ||||
\(953\) | − | 2.48300e28i | − | 1.24049i | −0.784406 | − | 0.620247i | \(-0.787032\pi\) | ||
0.784406 | − | 0.620247i | \(-0.212968\pi\) | |||||||
\(954\) | −1.99787e28 | + | 1.84444e28i | −0.988231 | + | 0.912334i | ||||
\(955\) | − | 2.96570e28i | − | 1.45243i | ||||||
\(956\) | 2.64623e27 | + | 1.25495e27i | 0.128315 | + | 0.0608523i | ||||
\(957\) | −2.80164e24 | + | 8.99484e24i | −0.000134508 | + | 0.000431847i | ||||
\(958\) | 1.12083e28 | + | 2.52304e27i | 0.532802 | + | 0.119937i | ||||
\(959\) | −2.01590e28 | −0.948839 | ||||||||
\(960\) | 2.71911e28 | + | 1.62357e27i | 1.26721 | + | 0.0756649i | ||||
\(961\) | −2.61604e28 | −1.20718 | ||||||||
\(962\) | −1.72317e28 | − | 3.87894e27i | −0.787344 | − | 0.177235i | ||||
\(963\) | 5.60301e27 | + | 3.86536e27i | 0.253496 | + | 0.174880i | ||||
\(964\) | −3.70677e27 | − | 1.75790e27i | −0.166060 | − | 0.0787523i | ||||
\(965\) | 1.19468e28i | 0.529957i | ||||||||
\(966\) | −1.36933e28 | + | 2.37305e28i | −0.601488 | + | 1.04238i | ||||
\(967\) | 4.29422e28i | 1.86781i | 0.357523 | + | 0.933904i | \(0.383621\pi\) | ||||
−0.357523 | + | 0.933904i | \(0.616379\pi\) | |||||||
\(968\) | 1.82811e28 | + | 1.43128e28i | 0.787383 | + | 0.616464i | ||||
\(969\) | −8.86156e27 | − | 2.76013e27i | −0.377950 | − | 0.117721i | ||||
\(970\) | −1.48603e27 | + | 6.60151e27i | −0.0627621 | + | 0.278812i | ||||
\(971\) | −2.21794e28 | −0.927614 | −0.463807 | − | 0.885936i | \(-0.653517\pi\) | ||||
−0.463807 | + | 0.885936i | \(0.653517\pi\) | |||||||
\(972\) | 8.99567e27 | − | 2.24068e28i | 0.372567 | − | 0.928005i | ||||
\(973\) | −5.50435e27 | −0.225753 | ||||||||
\(974\) | 3.45149e27 | − | 1.53328e28i | 0.140183 | − | 0.622746i | ||||
\(975\) | 1.85311e28 | + | 5.77193e27i | 0.745347 | + | 0.232155i | ||||
\(976\) | −2.83244e28 | − | 3.46605e28i | −1.12820 | − | 1.38058i | ||||
\(977\) | − | 1.59999e28i | − | 0.631129i | −0.948904 | − | 0.315565i | \(-0.897806\pi\) | ||
0.948904 | − | 0.315565i | \(-0.102194\pi\) | |||||||
\(978\) | 7.06435e27 | − | 1.22425e28i | 0.275965 | − | 0.478245i | ||||
\(979\) | − | 3.43280e24i | − | 0.000132804i | ||||||
\(980\) | 1.38139e28 | − | 2.91284e28i | 0.529259 | − | 1.11601i | ||||
\(981\) | 2.10563e28 | + | 1.45262e28i | 0.798963 | + | 0.551182i | ||||
\(982\) | −3.96346e28 | − | 8.92196e27i | −1.48942 | − | 0.335275i | ||||
\(983\) | 4.61641e28 | 1.71809 | 0.859045 | − | 0.511900i | \(-0.171058\pi\) | ||||
0.859045 | + | 0.511900i | \(0.171058\pi\) | |||||||
\(984\) | −1.35011e26 | + | 9.32818e25i | −0.00497642 | + | 0.00343830i | ||||
\(985\) | −1.51746e27 | −0.0553952 | ||||||||
\(986\) | 3.53220e28 | + | 7.95115e27i | 1.27707 | + | 0.287475i | ||||
\(987\) | 1.71406e28 | − | 5.50311e28i | 0.613782 | − | 1.97058i | ||||
\(988\) | 6.61220e27 | − | 1.39427e28i | 0.234507 | − | 0.494488i | ||||
\(989\) | 2.41976e28i | 0.849979i | ||||||||
\(990\) | −8.55372e24 | + | 7.89678e24i | −0.000297591 | + | 0.000274736i | ||||
\(991\) | 2.59012e28i | 0.892525i | 0.894902 | + | 0.446262i | \(0.147245\pi\) | ||||
−0.894902 | + | 0.446262i | \(0.852755\pi\) | |||||||
\(992\) | 3.89322e28 | − | 1.94698e28i | 1.32876 | − | 0.664508i | ||||
\(993\) | 1.22208e28 | − | 3.92355e28i | 0.413124 | − | 1.32636i | ||||
\(994\) | −7.11454e27 | + | 3.16054e28i | −0.238219 | + | 1.05826i | ||||
\(995\) | −3.21516e28 | −1.06631 | ||||||||
\(996\) | 1.05720e28 | + | 9.74618e27i | 0.347290 | + | 0.320163i | ||||
\(997\) | 3.83937e28 | 1.24927 | 0.624635 | − | 0.780917i | \(-0.285248\pi\) | ||||
0.624635 | + | 0.780917i | \(0.285248\pi\) | |||||||
\(998\) | 7.48414e27 | − | 3.32473e28i | 0.241213 | − | 1.07156i | ||||
\(999\) | −1.22191e28 | − | 1.55842e28i | −0.390092 | − | 0.497522i |
(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 | 12.20.b.a.11.3 | ✓ | 36 | |
3.2 | odd | 2 | inner | 12.20.b.a.11.34 | yes | 36 | |
4.3 | odd | 2 | inner | 12.20.b.a.11.33 | yes | 36 | |
12.11 | even | 2 | inner | 12.20.b.a.11.4 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.20.b.a.11.3 | ✓ | 36 | 1.1 | even | 1 | trivial | |
12.20.b.a.11.4 | yes | 36 | 12.11 | even | 2 | inner | |
12.20.b.a.11.33 | yes | 36 | 4.3 | odd | 2 | inner | |
12.20.b.a.11.34 | yes | 36 | 3.2 | odd | 2 | inner |