Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,13,Mod(3,16)]
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([2, 3]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.3");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (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: | \(14.6239010764\) |
Analytic rank: | \(0\) |
Dimension: | \(46\) |
Relative dimension: | \(23\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 16.3 |
Dual form | 16.13.f.a.11.3 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −59.3506 | − | 23.9480i | −0.927353 | − | 0.374188i | ||||
\(3\) | −234.930 | + | 234.930i | −0.322264 | + | 0.322264i | −0.849635 | − | 0.527371i | \(-0.823178\pi\) |
0.527371 | + | 0.849635i | \(0.323178\pi\) | |||||||
\(4\) | 2948.99 | + | 2842.66i | 0.719967 | + | 0.694008i | ||||
\(5\) | −18167.9 | + | 18167.9i | −1.16275 | + | 1.16275i | −0.178875 | + | 0.983872i | \(0.557246\pi\) |
−0.983872 | + | 0.178875i | \(0.942754\pi\) | |||||||
\(6\) | 19569.4 | − | 8317.14i | 0.419439 | − | 0.178265i | ||||
\(7\) | 112043. | 0.952346 | 0.476173 | − | 0.879352i | \(-0.342024\pi\) | ||||
0.476173 | + | 0.879352i | \(0.342024\pi\) | |||||||
\(8\) | −106948. | − | 239336.i | −0.407975 | − | 0.912993i | ||||
\(9\) | 421057.i | 0.792292i | ||||||||
\(10\) | 1.51336e6 | − | 643191.i | 1.51336 | − | 0.643191i | ||||
\(11\) | 1.85563e6 | + | 1.85563e6i | 1.04745 | + | 1.04745i | 0.998817 | + | 0.0486367i | \(0.0154877\pi\) |
0.0486367 | + | 0.998817i | \(0.484512\pi\) | |||||||
\(12\) | −1.36063e6 | + | 24980.2i | −0.455673 | + | 0.00836582i | ||||
\(13\) | −4.76340e6 | − | 4.76340e6i | −0.986863 | − | 0.986863i | 0.0130520 | − | 0.999915i | \(-0.495845\pi\) |
−0.999915 | + | 0.0130520i | \(0.995845\pi\) | |||||||
\(14\) | −6.64979e6 | − | 2.68320e6i | −0.883161 | − | 0.356356i | ||||
\(15\) | − | 8.53639e6i | − | 0.749422i | ||||||
\(16\) | 615827. | + | 1.67659e7i | 0.0367061 | + | 0.999326i | ||||
\(17\) | −2.64070e7 | −1.09402 | −0.547010 | − | 0.837126i | \(-0.684234\pi\) | ||||
−0.547010 | + | 0.837126i | \(0.684234\pi\) | |||||||
\(18\) | 1.00835e7 | − | 2.49900e7i | 0.296466 | − | 0.734734i | ||||
\(19\) | −1.10839e7 | + | 1.10839e7i | −0.235599 | + | 0.235599i | −0.815025 | − | 0.579426i | \(-0.803277\pi\) |
0.579426 | + | 0.815025i | \(0.303277\pi\) | |||||||
\(20\) | −1.05222e8 | + | 1.93180e6i | −1.64410 | + | 0.0301844i | ||||
\(21\) | −2.63222e7 | + | 2.63222e7i | −0.306907 | + | 0.306907i | ||||
\(22\) | −6.56940e7 | − | 1.54571e8i | −0.579415 | − | 1.36330i | ||||
\(23\) | −1.47280e8 | −0.994895 | −0.497447 | − | 0.867494i | \(-0.665729\pi\) | ||||
−0.497447 | + | 0.867494i | \(0.665729\pi\) | |||||||
\(24\) | 8.13526e7 | + | 3.11018e7i | 0.425700 | + | 0.162749i | ||||
\(25\) | − | 4.16006e8i | − | 1.70396i | ||||||
\(26\) | 1.68637e8 | + | 3.96784e8i | 0.545899 | + | 1.28444i | ||||
\(27\) | −2.23771e8 | − | 2.23771e8i | −0.577591 | − | 0.577591i | ||||
\(28\) | 3.30412e8 | + | 3.18499e8i | 0.685658 | + | 0.660936i | ||||
\(29\) | 6.85742e8 | + | 6.85742e8i | 1.15285 | + | 1.15285i | 0.985979 | + | 0.166871i | \(0.0533663\pi\) |
0.166871 | + | 0.985979i | \(0.446634\pi\) | |||||||
\(30\) | −2.04429e8 | + | 5.06640e8i | −0.280424 | + | 0.694979i | ||||
\(31\) | − | 1.41233e9i | − | 1.59136i | −0.605719 | − | 0.795678i | \(-0.707115\pi\) | ||
0.605719 | − | 0.795678i | \(-0.292885\pi\) | |||||||
\(32\) | 3.64960e8 | − | 1.00981e9i | 0.339896 | − | 0.940463i | ||||
\(33\) | −8.71886e8 | −0.675113 | ||||||||
\(34\) | 1.56727e9 | + | 6.32394e8i | 1.01454 | + | 0.409369i | ||||
\(35\) | −2.03558e9 | + | 2.03558e9i | −1.10734 | + | 1.10734i | ||||
\(36\) | −1.19692e9 | + | 1.24169e9i | −0.549857 | + | 0.570424i | ||||
\(37\) | 2.44312e8 | − | 2.44312e8i | 0.0952215 | − | 0.0952215i | −0.657891 | − | 0.753113i | \(-0.728551\pi\) |
0.753113 | + | 0.657891i | \(0.228551\pi\) | |||||||
\(38\) | 9.23277e8 | − | 3.92401e8i | 0.306641 | − | 0.130325i | ||||
\(39\) | 2.23813e9 | 0.636060 | ||||||||
\(40\) | 6.29126e9 | + | 2.40521e9i | 1.53595 | + | 0.587208i | ||||
\(41\) | − | 4.41701e9i | − | 0.929875i | −0.885343 | − | 0.464938i | \(-0.846077\pi\) | ||
0.885343 | − | 0.464938i | \(-0.153923\pi\) | |||||||
\(42\) | 2.19260e9 | − | 9.31874e8i | 0.399452 | − | 0.169770i | ||||
\(43\) | −1.55921e9 | − | 1.55921e9i | −0.246657 | − | 0.246657i | 0.572940 | − | 0.819597i | \(-0.305803\pi\) |
−0.819597 | + | 0.572940i | \(0.805803\pi\) | |||||||
\(44\) | 1.97309e8 | + | 1.07471e10i | 0.0271914 | + | 1.48107i | ||||
\(45\) | −7.64972e9 | − | 7.64972e9i | −0.921235 | − | 0.921235i | ||||
\(46\) | 8.74116e9 | + | 3.52706e9i | 0.922618 | + | 0.372277i | ||||
\(47\) | − | 4.61361e9i | − | 0.428010i | −0.976833 | − | 0.214005i | \(-0.931349\pi\) | ||
0.976833 | − | 0.214005i | \(-0.0686508\pi\) | |||||||
\(48\) | −4.08350e9 | − | 3.79414e9i | −0.333876 | − | 0.310218i | ||||
\(49\) | −1.28775e9 | −0.0930368 | ||||||||
\(50\) | −9.96251e9 | + | 2.46902e10i | −0.637601 | + | 1.58017i | ||||
\(51\) | 6.20380e9 | − | 6.20380e9i | 0.352563 | − | 0.352563i | ||||
\(52\) | −5.06493e8 | − | 2.75879e10i | −0.0256185 | − | 1.39540i | ||||
\(53\) | −4.04467e8 | + | 4.04467e8i | −0.0182485 | + | 0.0182485i | −0.716172 | − | 0.697924i | \(-0.754107\pi\) |
0.697924 | + | 0.716172i | \(0.254107\pi\) | |||||||
\(54\) | 7.92206e9 | + | 1.86398e10i | 0.319503 | + | 0.751758i | ||||
\(55\) | −6.74258e10 | −2.43585 | ||||||||
\(56\) | −1.19827e10 | − | 2.68158e10i | −0.388533 | − | 0.869486i | ||||
\(57\) | − | 5.20791e9i | − | 0.151850i | ||||||
\(58\) | −2.42770e10 | − | 5.71213e10i | −0.637717 | − | 1.50048i | ||||
\(59\) | 2.96444e9 | + | 2.96444e9i | 0.0702799 | + | 0.0702799i | 0.741373 | − | 0.671093i | \(-0.234175\pi\) |
−0.671093 | + | 0.741373i | \(0.734175\pi\) | |||||||
\(60\) | 2.42660e10 | − | 2.51737e10i | 0.520105 | − | 0.539560i | ||||
\(61\) | 9.42146e9 | + | 9.42146e9i | 0.182869 | + | 0.182869i | 0.792605 | − | 0.609736i | \(-0.208725\pi\) |
−0.609736 | + | 0.792605i | \(0.708725\pi\) | |||||||
\(62\) | −3.38226e10 | + | 8.38229e10i | −0.595466 | + | 1.47575i | ||||
\(63\) | 4.71763e10i | 0.754536i | ||||||||
\(64\) | −4.58437e10 | + | 5.11930e10i | −0.667113 | + | 0.744957i | ||||
\(65\) | 1.73082e11 | 2.29494 | ||||||||
\(66\) | 5.17470e10 | + | 2.08799e10i | 0.626068 | + | 0.252619i | ||||
\(67\) | −3.68155e10 | + | 3.68155e10i | −0.406989 | + | 0.406989i | −0.880687 | − | 0.473698i | \(-0.842919\pi\) |
0.473698 | + | 0.880687i | \(0.342919\pi\) | |||||||
\(68\) | −7.78738e10 | − | 7.50660e10i | −0.787659 | − | 0.759258i | ||||
\(69\) | 3.46006e10 | − | 3.46006e10i | 0.320618 | − | 0.320618i | ||||
\(70\) | 1.69561e11 | − | 7.20648e10i | 1.44124 | − | 0.612541i | ||||
\(71\) | 5.60522e10 | 0.437565 | 0.218783 | − | 0.975774i | \(-0.429791\pi\) | ||||
0.218783 | + | 0.975774i | \(0.429791\pi\) | |||||||
\(72\) | 1.00774e11 | − | 4.50312e10i | 0.723357 | − | 0.323235i | ||||
\(73\) | 1.89998e10i | 0.125549i | 0.998028 | + | 0.0627743i | \(0.0199948\pi\) | ||||
−0.998028 | + | 0.0627743i | \(0.980005\pi\) | |||||||
\(74\) | −2.03509e10 | + | 8.64929e9i | −0.123935 | + | 0.0526733i | ||||
\(75\) | 9.77324e10 | + | 9.77324e10i | 0.549125 | + | 0.549125i | ||||
\(76\) | −6.41943e10 | + | 1.17856e9i | −0.333131 | + | 0.00611603i | ||||
\(77\) | 2.07909e11 | + | 2.07909e11i | 0.997538 | + | 0.997538i | ||||
\(78\) | −1.32835e11 | − | 5.35988e10i | −0.589852 | − | 0.238006i | ||||
\(79\) | 2.84842e10i | 0.117177i | 0.998282 | + | 0.0585883i | \(0.0186599\pi\) | ||||
−0.998282 | + | 0.0585883i | \(0.981340\pi\) | |||||||
\(80\) | −3.15790e11 | − | 2.93413e11i | −1.20464 | − | 1.11928i | ||||
\(81\) | −1.18626e11 | −0.420019 | ||||||||
\(82\) | −1.05778e11 | + | 2.62152e11i | −0.347948 | + | 0.862323i | ||||
\(83\) | −3.85877e11 | + | 3.85877e11i | −1.18027 | + | 1.18027i | −0.200592 | + | 0.979675i | \(0.564287\pi\) |
−0.979675 | + | 0.200592i | \(0.935713\pi\) | |||||||
\(84\) | −1.52449e11 | + | 2.79885e9i | −0.433958 | + | 0.00796715i | ||||
\(85\) | 4.79760e11 | − | 4.79760e11i | 1.27207 | − | 1.27207i | ||||
\(86\) | 5.51999e10 | + | 1.29880e11i | 0.136442 | + | 0.321034i | ||||
\(87\) | −3.22203e11 | −0.743043 | ||||||||
\(88\) | 2.45662e11 | − | 6.42574e11i | 0.528983 | − | 1.38365i | ||||
\(89\) | − | 2.19692e11i | − | 0.442054i | −0.975268 | − | 0.221027i | \(-0.929059\pi\) | ||
0.975268 | − | 0.221027i | \(-0.0709408\pi\) | |||||||
\(90\) | 2.70820e11 | + | 6.37211e11i | 0.509595 | + | 1.19902i | ||||
\(91\) | −5.33703e11 | − | 5.33703e11i | −0.939835 | − | 0.939835i | ||||
\(92\) | −4.34327e11 | − | 4.18667e11i | −0.716292 | − | 0.690465i | ||||
\(93\) | 3.31800e11 | + | 3.31800e11i | 0.512837 | + | 0.512837i | ||||
\(94\) | −1.10487e11 | + | 2.73820e11i | −0.160156 | + | 0.396916i | ||||
\(95\) | − | 4.02745e11i | − | 0.547883i | ||||||
\(96\) | 1.51496e11 | + | 3.22976e11i | 0.193541 | + | 0.412613i | ||||
\(97\) | 8.48143e10 | 0.101821 | 0.0509107 | − | 0.998703i | \(-0.483788\pi\) | ||||
0.0509107 | + | 0.998703i | \(0.483788\pi\) | |||||||
\(98\) | 7.64287e10 | + | 3.08390e10i | 0.0862779 | + | 0.0348132i | ||||
\(99\) | −7.81324e11 | + | 7.81324e11i | −0.829889 | + | 0.829889i | ||||
\(100\) | 1.18256e12 | − | 1.22680e12i | 1.18256 | − | 1.22680i | ||||
\(101\) | 1.12035e10 | − | 1.12035e10i | 0.0105542 | − | 0.0105542i | −0.701810 | − | 0.712364i | \(-0.747624\pi\) |
0.712364 | + | 0.701810i | \(0.247624\pi\) | |||||||
\(102\) | −5.16768e11 | + | 2.19631e11i | −0.458875 | + | 0.195026i | ||||
\(103\) | −1.55662e11 | −0.130365 | −0.0651823 | − | 0.997873i | \(-0.520763\pi\) | ||||
−0.0651823 | + | 0.997873i | \(0.520763\pi\) | |||||||
\(104\) | −6.30614e11 | + | 1.64949e12i | −0.498384 | + | 1.30361i | ||||
\(105\) | − | 9.56439e11i | − | 0.713710i | ||||||
\(106\) | 3.36915e10 | − | 1.43192e10i | 0.0237512 | − | 0.0100945i | ||||
\(107\) | 4.90034e11 | + | 4.90034e11i | 0.326530 | + | 0.326530i | 0.851265 | − | 0.524735i | \(-0.175836\pi\) |
−0.524735 | + | 0.851265i | \(0.675836\pi\) | |||||||
\(108\) | −2.37936e10 | − | 1.29600e12i | −0.0149940 | − | 0.816699i | ||||
\(109\) | −1.33356e12 | − | 1.33356e12i | −0.795161 | − | 0.795161i | 0.187167 | − | 0.982328i | \(-0.440069\pi\) |
−0.982328 | + | 0.187167i | \(0.940069\pi\) | |||||||
\(110\) | 4.00176e12 | + | 1.61471e12i | 2.25889 | + | 0.911463i | ||||
\(111\) | 1.14793e11i | 0.0613729i | ||||||||
\(112\) | 6.89988e10 | + | 1.87850e12i | 0.0349569 | + | 0.951704i | ||||
\(113\) | −2.01643e12 | −0.968530 | −0.484265 | − | 0.874921i | \(-0.660913\pi\) | ||||
−0.484265 | + | 0.874921i | \(0.660913\pi\) | |||||||
\(114\) | −1.24719e11 | + | 3.09093e11i | −0.0568203 | + | 0.140818i | ||||
\(115\) | 2.67577e12 | − | 2.67577e12i | 1.15681 | − | 1.15681i | ||||
\(116\) | 7.29151e10 | + | 3.97157e12i | 0.0299274 | + | 1.63010i | ||||
\(117\) | 2.00566e12 | − | 2.00566e12i | 0.781884 | − | 0.781884i | ||||
\(118\) | −1.04949e11 | − | 2.46934e11i | −0.0388764 | − | 0.0914721i | ||||
\(119\) | −2.95871e12 | −1.04189 | ||||||||
\(120\) | −2.04306e12 | + | 9.12951e11i | −0.684217 | + | 0.305746i | ||||
\(121\) | 3.74828e12i | 1.19432i | ||||||||
\(122\) | −3.33544e11 | − | 7.84794e11i | −0.101157 | − | 0.238011i | ||||
\(123\) | 1.03769e12 | + | 1.03769e12i | 0.299665 | + | 0.299665i | ||||
\(124\) | 4.01478e12 | − | 4.16496e12i | 1.10441 | − | 1.14572i | ||||
\(125\) | 3.12243e12 | + | 3.12243e12i | 0.818527 | + | 0.818527i | ||||
\(126\) | 1.12978e12 | − | 2.79994e12i | 0.282338 | − | 0.699722i | ||||
\(127\) | − | 3.42011e12i | − | 0.815112i | −0.913180 | − | 0.407556i | \(-0.866381\pi\) | ||
0.913180 | − | 0.407556i | \(-0.133619\pi\) | |||||||
\(128\) | 3.94682e12 | − | 1.94047e12i | 0.897403 | − | 0.441212i | ||||
\(129\) | 7.32609e11 | 0.158977 | ||||||||
\(130\) | −1.02725e13 | − | 4.14497e12i | −2.12822 | − | 0.858739i | ||||
\(131\) | −6.43505e12 | + | 6.43505e12i | −1.27328 | + | 1.27328i | −0.328925 | + | 0.944356i | \(0.606686\pi\) |
−0.944356 | + | 0.328925i | \(0.893314\pi\) | |||||||
\(132\) | −2.57118e12 | − | 2.47847e12i | −0.486059 | − | 0.468533i | ||||
\(133\) | −1.24187e12 | + | 1.24187e12i | −0.224372 | + | 0.224372i | ||||
\(134\) | 3.06668e12 | − | 1.30337e12i | 0.529712 | − | 0.225132i | ||||
\(135\) | 8.13089e12 | 1.34318 | ||||||||
\(136\) | 2.82418e12 | + | 6.32013e12i | 0.446333 | + | 0.998833i | ||||
\(137\) | − | 6.68889e11i | − | 0.101165i | −0.998720 | − | 0.0505825i | \(-0.983892\pi\) | ||
0.998720 | − | 0.0505825i | \(-0.0161078\pi\) | |||||||
\(138\) | −2.88218e12 | + | 1.22495e12i | −0.417298 | + | 0.177355i | ||||
\(139\) | 3.86820e12 | + | 3.86820e12i | 0.536315 | + | 0.536315i | 0.922445 | − | 0.386129i | \(-0.126188\pi\) |
−0.386129 | + | 0.922445i | \(0.626188\pi\) | |||||||
\(140\) | −1.17894e13 | + | 2.16444e11i | −1.56575 | + | 0.0287460i | ||||
\(141\) | 1.08388e12 | + | 1.08388e12i | 0.137932 | + | 0.137932i | ||||
\(142\) | −3.32673e12 | − | 1.34234e12i | −0.405777 | − | 0.163731i | ||||
\(143\) | − | 1.76782e13i | − | 2.06739i | ||||||
\(144\) | −7.05940e12 | + | 2.59298e11i | −0.791758 | + | 0.0290820i | ||||
\(145\) | −2.49170e13 | −2.68094 | ||||||||
\(146\) | 4.55007e11 | − | 1.12765e12i | 0.0469787 | − | 0.116428i | ||||
\(147\) | 3.02531e11 | − | 3.02531e11i | 0.0299824 | − | 0.0299824i | ||||
\(148\) | 1.41497e12 | − | 2.59778e10i | 0.134641 | − | 0.00247191i | ||||
\(149\) | −5.92466e12 | + | 5.92466e12i | −0.541434 | + | 0.541434i | −0.923949 | − | 0.382515i | \(-0.875058\pi\) |
0.382515 | + | 0.923949i | \(0.375058\pi\) | |||||||
\(150\) | −3.45998e12 | − | 8.14097e12i | −0.303757 | − | 0.714708i | ||||
\(151\) | 1.85036e13 | 1.56097 | 0.780484 | − | 0.625176i | \(-0.214973\pi\) | ||||
0.780484 | + | 0.625176i | \(0.214973\pi\) | |||||||
\(152\) | 3.83819e12 | + | 1.46738e12i | 0.311218 | + | 0.118982i | ||||
\(153\) | − | 1.11188e13i | − | 0.866783i | ||||||
\(154\) | −7.36053e12 | − | 1.73186e13i | −0.551804 | − | 1.29834i | ||||
\(155\) | 2.56592e13 | + | 2.56592e13i | 1.85034 | + | 1.85034i | ||||
\(156\) | 6.60022e12 | + | 6.36224e12i | 0.457943 | + | 0.441431i | ||||
\(157\) | 2.09910e13 | + | 2.09910e13i | 1.40163 | + | 1.40163i | 0.794921 | + | 0.606713i | \(0.207512\pi\) |
0.606713 | + | 0.794921i | \(0.292488\pi\) | |||||||
\(158\) | 6.82139e11 | − | 1.69055e12i | 0.0438460 | − | 0.108664i | ||||
\(159\) | − | 1.90043e11i | − | 0.0117617i | ||||||
\(160\) | 1.17157e13 | + | 2.49768e13i | 0.698308 | + | 1.48873i | ||||
\(161\) | −1.65016e13 | −0.947484 | ||||||||
\(162\) | 7.04051e12 | + | 2.84085e12i | 0.389506 | + | 0.157166i | ||||
\(163\) | 2.00854e12 | − | 2.00854e12i | 0.107092 | − | 0.107092i | −0.651531 | − | 0.758622i | \(-0.725873\pi\) |
0.758622 | + | 0.651531i | \(0.225873\pi\) | |||||||
\(164\) | 1.25560e13 | − | 1.30257e13i | 0.645341 | − | 0.669480i | ||||
\(165\) | 1.58404e13 | − | 1.58404e13i | 0.784985 | − | 0.784985i | ||||
\(166\) | 3.21430e13 | − | 1.36610e13i | 1.53617 | − | 0.652883i | ||||
\(167\) | −2.38823e13 | −1.10098 | −0.550488 | − | 0.834843i | \(-0.685559\pi\) | ||||
−0.550488 | + | 0.834843i | \(0.685559\pi\) | |||||||
\(168\) | 9.11495e12 | + | 3.48473e12i | 0.405414 | + | 0.154993i | ||||
\(169\) | 2.20818e13i | 0.947796i | ||||||||
\(170\) | −3.99633e13 | + | 1.69847e13i | −1.65565 | + | 0.703664i | ||||
\(171\) | −4.66697e12 | − | 4.66697e12i | −0.186663 | − | 0.186663i | ||||
\(172\) | −1.65791e11 | − | 9.03036e12i | −0.00640309 | − | 0.348766i | ||||
\(173\) | −1.38429e13 | − | 1.38429e13i | −0.516356 | − | 0.516356i | 0.400111 | − | 0.916467i | \(-0.368972\pi\) |
−0.916467 | + | 0.400111i | \(0.868972\pi\) | |||||||
\(174\) | 1.91229e13 | + | 7.71612e12i | 0.689064 | + | 0.278038i | ||||
\(175\) | − | 4.66104e13i | − | 1.62276i | ||||||
\(176\) | −2.99685e13 | + | 3.22540e13i | −1.00830 | + | 1.08520i | ||||
\(177\) | −1.39288e12 | −0.0452973 | ||||||||
\(178\) | −5.26119e12 | + | 1.30389e13i | −0.165411 | + | 0.409940i | ||||
\(179\) | −1.16690e13 | + | 1.16690e13i | −0.354745 | + | 0.354745i | −0.861871 | − | 0.507127i | \(-0.830708\pi\) |
0.507127 | + | 0.861871i | \(0.330708\pi\) | |||||||
\(180\) | −8.13397e11 | − | 4.43044e13i | −0.0239148 | − | 1.30260i | ||||
\(181\) | 9.10204e12 | − | 9.10204e12i | 0.258861 | − | 0.258861i | −0.565729 | − | 0.824591i | \(-0.691405\pi\) |
0.824591 | + | 0.565729i | \(0.191405\pi\) | |||||||
\(182\) | 1.88945e13 | + | 4.44567e13i | 0.519884 | + | 1.22323i | ||||
\(183\) | −4.42677e12 | −0.117864 | ||||||||
\(184\) | 1.57513e13 | + | 3.52494e13i | 0.405892 | + | 0.908332i | ||||
\(185\) | 8.87729e12i | 0.221437i | ||||||||
\(186\) | −1.17466e13 | − | 2.76385e13i | −0.283684 | − | 0.667478i | ||||
\(187\) | −4.90015e13 | − | 4.90015e13i | −1.14593 | − | 1.14593i | ||||
\(188\) | 1.31149e13 | − | 1.36055e13i | 0.297042 | − | 0.308153i | ||||
\(189\) | −2.50718e13 | − | 2.50718e13i | −0.550066 | − | 0.550066i | ||||
\(190\) | −9.64493e12 | + | 2.39031e13i | −0.205011 | + | 0.508081i | ||||
\(191\) | 1.26077e13i | 0.259679i | 0.991535 | + | 0.129840i | \(0.0414462\pi\) | ||||
−0.991535 | + | 0.129840i | \(0.958554\pi\) | |||||||
\(192\) | −1.25673e12 | − | 2.27969e13i | −0.0250862 | − | 0.455059i | ||||
\(193\) | −4.96508e13 | −0.960688 | −0.480344 | − | 0.877080i | \(-0.659488\pi\) | ||||
−0.480344 | + | 0.877080i | \(0.659488\pi\) | |||||||
\(194\) | −5.03378e12 | − | 2.03113e12i | −0.0944243 | − | 0.0381003i | ||||
\(195\) | −4.06622e13 | + | 4.06622e13i | −0.739577 | + | 0.739577i | ||||
\(196\) | −3.79755e12 | − | 3.66063e12i | −0.0669834 | − | 0.0645683i | ||||
\(197\) | 7.29222e13 | − | 7.29222e13i | 1.24756 | − | 1.24756i | 0.290770 | − | 0.956793i | \(-0.406089\pi\) |
0.956793 | − | 0.290770i | \(-0.0939115\pi\) | |||||||
\(198\) | 6.50832e13 | − | 2.76609e13i | 1.08013 | − | 0.459066i | ||||
\(199\) | −3.98271e13 | −0.641298 | −0.320649 | − | 0.947198i | \(-0.603901\pi\) | ||||
−0.320649 | + | 0.947198i | \(0.603901\pi\) | |||||||
\(200\) | −9.95650e13 | + | 4.44911e13i | −1.55570 | + | 0.695173i | ||||
\(201\) | − | 1.72982e13i | − | 0.262315i | ||||||
\(202\) | −9.33232e11 | + | 3.96631e11i | −0.0137367 | + | 0.00583820i | ||||
\(203\) | 7.68323e13 | + | 7.68323e13i | 1.09791 | + | 1.09791i | ||||
\(204\) | 3.59302e13 | − | 6.59651e11i | 0.498515 | − | 0.00915237i | ||||
\(205\) | 8.02478e13 | + | 8.02478e13i | 1.08121 | + | 1.08121i | ||||
\(206\) | 9.23864e12 | + | 3.72780e12i | 0.120894 | + | 0.0487808i | ||||
\(207\) | − | 6.20132e13i | − | 0.788247i | ||||||
\(208\) | 7.69293e13 | − | 8.27961e13i | 0.949974 | − | 1.02242i | ||||
\(209\) | −4.11354e13 | −0.493557 | ||||||||
\(210\) | −2.29048e13 | + | 5.67652e13i | −0.267061 | + | 0.661861i | ||||
\(211\) | −2.24775e13 | + | 2.24775e13i | −0.254714 | + | 0.254714i | −0.822900 | − | 0.568186i | \(-0.807645\pi\) |
0.568186 | + | 0.822900i | \(0.307645\pi\) | |||||||
\(212\) | −2.34253e12 | + | 4.30071e10i | −0.0258030 | + | 0.000473723i | ||||
\(213\) | −1.31684e13 | + | 1.31684e13i | −0.141011 | + | 0.141011i | ||||
\(214\) | −1.73485e13 | − | 4.08191e13i | −0.180625 | − | 0.424992i | ||||
\(215\) | 5.66550e13 | 0.573598 | ||||||||
\(216\) | −2.96244e13 | + | 7.74881e13i | −0.291694 | + | 0.762979i | ||||
\(217\) | − | 1.58242e14i | − | 1.51552i | ||||||
\(218\) | 4.72117e13 | + | 1.11084e14i | 0.439856 | + | 1.03493i | ||||
\(219\) | −4.46363e12 | − | 4.46363e12i | −0.0404598 | − | 0.0404598i | ||||
\(220\) | −1.98838e14 | − | 1.91668e14i | −1.75373 | − | 1.69050i | ||||
\(221\) | 1.25787e14 | + | 1.25787e14i | 1.07965 | + | 1.07965i | ||||
\(222\) | 2.74906e12 | − | 6.81302e12i | 0.0229650 | − | 0.0569144i | ||||
\(223\) | 1.19376e14i | 0.970707i | 0.874318 | + | 0.485353i | \(0.161309\pi\) | ||||
−0.874318 | + | 0.485353i | \(0.838691\pi\) | |||||||
\(224\) | 4.08911e13 | − | 1.13142e14i | 0.323698 | − | 0.895646i | ||||
\(225\) | 1.75162e14 | 1.35003 | ||||||||
\(226\) | 1.19676e14 | + | 4.82895e13i | 0.898169 | + | 0.362412i | ||||
\(227\) | −1.37896e14 | + | 1.37896e14i | −1.00785 | + | 1.00785i | −0.00788358 | + | 0.999969i | \(0.502509\pi\) |
−0.999969 | + | 0.00788358i | \(0.997491\pi\) | |||||||
\(228\) | 1.48043e13 | − | 1.53581e13i | 0.105385 | − | 0.109327i | ||||
\(229\) | 2.76421e13 | − | 2.76421e13i | 0.191672 | − | 0.191672i | −0.604746 | − | 0.796418i | \(-0.706726\pi\) |
0.796418 | + | 0.604746i | \(0.206726\pi\) | |||||||
\(230\) | −2.22888e14 | + | 9.47293e13i | −1.50564 | + | 0.639908i | ||||
\(231\) | −9.76884e13 | −0.642941 | ||||||||
\(232\) | 9.07837e13 | − | 2.37461e14i | 0.582210 | − | 1.52288i | ||||
\(233\) | 2.59699e14i | 1.62306i | 0.584309 | + | 0.811531i | \(0.301366\pi\) | ||||
−0.584309 | + | 0.811531i | \(0.698634\pi\) | |||||||
\(234\) | −1.67069e14 | + | 7.10056e13i | −1.01765 | + | 0.432511i | ||||
\(235\) | 8.38196e13 | + | 8.38196e13i | 0.497667 | + | 0.497667i | ||||
\(236\) | 3.15210e11 | + | 1.71690e13i | 0.00182443 | + | 0.0993740i | ||||
\(237\) | −6.69179e12 | − | 6.69179e12i | −0.0377618 | − | 0.0377618i | ||||
\(238\) | 1.75601e14 | + | 7.08551e13i | 0.966196 | + | 0.389861i | ||||
\(239\) | − | 1.65145e14i | − | 0.886090i | −0.896499 | − | 0.443045i | \(-0.853898\pi\) | ||
0.896499 | − | 0.443045i | \(-0.146102\pi\) | |||||||
\(240\) | 1.43120e14 | − | 5.25694e12i | 0.748917 | − | 0.0275084i | ||||
\(241\) | 1.22502e14 | 0.625229 | 0.312615 | − | 0.949880i | \(-0.398795\pi\) | ||||
0.312615 | + | 0.949880i | \(0.398795\pi\) | |||||||
\(242\) | 8.97637e13 | − | 2.22462e14i | 0.446898 | − | 1.10755i | ||||
\(243\) | 1.46790e14 | − | 1.46790e14i | 0.712948 | − | 0.712948i | ||||
\(244\) | 1.00179e12 | + | 5.45657e13i | 0.00474718 | + | 0.258572i | ||||
\(245\) | 2.33957e13 | − | 2.33957e13i | 0.108178 | − | 0.108178i | ||||
\(246\) | −3.67369e13 | − | 8.64380e13i | −0.165764 | − | 0.390026i | ||||
\(247\) | 1.05595e14 | 0.465007 | ||||||||
\(248\) | −3.38022e14 | + | 1.51047e14i | −1.45290 | + | 0.649234i | ||||
\(249\) | − | 1.81308e14i | − | 0.760715i | ||||||
\(250\) | −1.10542e14 | − | 2.60094e14i | −0.452781 | − | 1.06535i | ||||
\(251\) | −2.15950e14 | − | 2.15950e14i | −0.863596 | − | 0.863596i | 0.128158 | − | 0.991754i | \(-0.459094\pi\) |
−0.991754 | + | 0.128158i | \(0.959094\pi\) | |||||||
\(252\) | −1.34106e14 | + | 1.39122e14i | −0.523654 | + | 0.543242i | ||||
\(253\) | −2.73297e14 | − | 2.73297e14i | −1.04211 | − | 1.04211i | ||||
\(254\) | −8.19047e13 | + | 2.02985e14i | −0.305005 | + | 0.755896i | ||||
\(255\) | 2.25420e14i | 0.819883i | ||||||||
\(256\) | −2.80716e14 | + | 2.06498e13i | −0.997305 | + | 0.0733628i | ||||
\(257\) | −1.02035e14 | −0.354120 | −0.177060 | − | 0.984200i | \(-0.556659\pi\) | ||||
−0.177060 | + | 0.984200i | \(0.556659\pi\) | |||||||
\(258\) | −4.34808e13 | − | 1.75445e13i | −0.147428 | − | 0.0594872i | ||||
\(259\) | 2.73734e13 | − | 2.73734e13i | 0.0906839 | − | 0.0906839i | ||||
\(260\) | 5.10417e14 | + | 4.92013e14i | 1.65228 | + | 1.59271i | ||||
\(261\) | −2.88736e14 | + | 2.88736e14i | −0.913394 | + | 0.913394i | ||||
\(262\) | 5.36031e14 | − | 2.27818e14i | 1.65723 | − | 0.704335i | ||||
\(263\) | −3.99272e14 | −1.20652 | −0.603260 | − | 0.797544i | \(-0.706132\pi\) | ||||
−0.603260 | + | 0.797544i | \(0.706132\pi\) | |||||||
\(264\) | 9.32466e13 | + | 2.08673e14i | 0.275429 | + | 0.616373i | ||||
\(265\) | − | 1.46967e13i | − | 0.0424368i | ||||||
\(266\) | 1.03446e14 | − | 4.39656e13i | 0.292029 | − | 0.124115i | ||||
\(267\) | 5.16124e13 | + | 5.16124e13i | 0.142458 | + | 0.142458i | ||||
\(268\) | −2.13222e14 | + | 3.91460e12i | −0.575472 | + | 0.0105652i | ||||
\(269\) | −4.28105e14 | − | 4.28105e14i | −1.12989 | − | 1.12989i | −0.990194 | − | 0.139698i | \(-0.955387\pi\) |
−0.139698 | − | 0.990194i | \(-0.544613\pi\) | |||||||
\(270\) | −4.82573e14 | − | 1.94719e14i | −1.24561 | − | 0.502603i | ||||
\(271\) | 5.64942e14i | 1.42622i | 0.701050 | + | 0.713112i | \(0.252715\pi\) | ||||
−0.701050 | + | 0.713112i | \(0.747285\pi\) | |||||||
\(272\) | −1.62621e13 | − | 4.42737e14i | −0.0401572 | − | 1.09328i | ||||
\(273\) | 2.50766e14 | 0.605750 | ||||||||
\(274\) | −1.60185e13 | + | 3.96989e13i | −0.0378547 | + | 0.0938157i | ||||
\(275\) | 7.71952e14 | − | 7.71952e14i | 1.78482 | − | 1.78482i | ||||
\(276\) | 2.00394e14 | − | 3.67909e12i | 0.453347 | − | 0.00832311i | ||||
\(277\) | −3.75355e14 | + | 3.75355e14i | −0.830929 | + | 0.830929i | −0.987644 | − | 0.156715i | \(-0.949910\pi\) |
0.156715 | + | 0.987644i | \(0.449910\pi\) | |||||||
\(278\) | −1.36944e14 | − | 3.22216e14i | −0.296671 | − | 0.698036i | ||||
\(279\) | 5.94673e14 | 1.26082 | ||||||||
\(280\) | 7.04889e14 | + | 2.69485e14i | 1.46276 | + | 0.559226i | ||||
\(281\) | 5.47262e14i | 1.11162i | 0.831309 | + | 0.555811i | \(0.187592\pi\) | ||||
−0.831309 | + | 0.555811i | \(0.812408\pi\) | |||||||
\(282\) | −3.83720e13 | − | 9.02854e13i | −0.0762992 | − | 0.179524i | ||||
\(283\) | −5.72598e14 | − | 5.72598e14i | −1.11463 | − | 1.11463i | −0.992516 | − | 0.122116i | \(-0.961032\pi\) |
−0.122116 | − | 0.992516i | \(-0.538968\pi\) | |||||||
\(284\) | 1.65297e14 | + | 1.59337e14i | 0.315033 | + | 0.303674i | ||||
\(285\) | 9.46169e13 | + | 9.46169e13i | 0.176563 | + | 0.176563i | ||||
\(286\) | −4.23357e14 | + | 1.04921e15i | −0.773590 | + | 1.91720i | ||||
\(287\) | − | 4.94893e14i | − | 0.885563i | ||||||
\(288\) | 4.25189e14 | + | 1.53669e14i | 0.745121 | + | 0.269297i | ||||
\(289\) | 1.14706e14 | 0.196879 | ||||||||
\(290\) | 1.47884e15 | + | 5.96712e14i | 2.48618 | + | 1.00318i | ||||
\(291\) | −1.99255e13 | + | 1.99255e13i | −0.0328133 | + | 0.0328133i | ||||
\(292\) | −5.40099e13 | + | 5.60302e13i | −0.0871317 | + | 0.0903909i | ||||
\(293\) | 1.64615e13 | − | 1.64615e13i | 0.0260173 | − | 0.0260173i | −0.693978 | − | 0.719996i | \(-0.744144\pi\) |
0.719996 | + | 0.693978i | \(0.244144\pi\) | |||||||
\(294\) | −2.52004e13 | + | 1.07104e13i | −0.0390233 | + | 0.0165852i | ||||
\(295\) | −1.07716e14 | −0.163435 | ||||||||
\(296\) | −8.46014e13 | − | 3.23439e13i | −0.125785 | − | 0.0480886i | ||||
\(297\) | − | 8.30469e14i | − | 1.21000i | ||||||
\(298\) | 4.93516e14 | − | 2.09748e14i | 0.704699 | − | 0.299503i | ||||
\(299\) | 7.01554e14 | + | 7.01554e14i | 0.981824 | + | 0.981824i | ||||
\(300\) | 1.03919e13 | + | 5.66031e14i | 0.0142550 | + | 0.776449i | ||||
\(301\) | −1.74697e14 | − | 1.74697e14i | −0.234902 | − | 0.234902i | ||||
\(302\) | −1.09820e15 | − | 4.43123e14i | −1.44757 | − | 0.584094i | ||||
\(303\) | 5.26406e12i | 0.00680245i | ||||||||
\(304\) | −1.92658e14 | − | 1.79007e14i | −0.244088 | − | 0.226792i | ||||
\(305\) | −3.42336e14 | −0.425260 | ||||||||
\(306\) | −2.66274e14 | + | 6.59909e14i | −0.324339 | + | 0.803814i | ||||
\(307\) | −1.63948e14 | + | 1.63948e14i | −0.195829 | + | 0.195829i | −0.798209 | − | 0.602380i | \(-0.794219\pi\) |
0.602380 | + | 0.798209i | \(0.294219\pi\) | |||||||
\(308\) | 2.21070e13 | + | 1.20414e15i | 0.0258956 | + | 1.41049i | ||||
\(309\) | 3.65698e13 | − | 3.65698e13i | 0.0420118 | − | 0.0420118i | ||||
\(310\) | −9.08402e14 | − | 2.13737e15i | −1.02355 | − | 2.40830i | ||||
\(311\) | 1.22600e15 | 1.35497 | 0.677485 | − | 0.735537i | \(-0.263070\pi\) | ||||
0.677485 | + | 0.735537i | \(0.263070\pi\) | |||||||
\(312\) | −2.39364e14 | − | 5.35665e14i | −0.259497 | − | 0.580719i | ||||
\(313\) | 7.00845e14i | 0.745343i | 0.927963 | + | 0.372671i | \(0.121558\pi\) | ||||
−0.927963 | + | 0.372671i | \(0.878442\pi\) | |||||||
\(314\) | −7.43135e14 | − | 1.74852e15i | −0.775336 | − | 1.82428i | ||||
\(315\) | −8.57094e14 | − | 8.57094e14i | −0.877335 | − | 0.877335i | ||||
\(316\) | −8.09707e13 | + | 8.39994e13i | −0.0813215 | + | 0.0843633i | ||||
\(317\) | 1.90237e13 | + | 1.90237e13i | 0.0187473 | + | 0.0187473i | 0.716418 | − | 0.697671i | \(-0.245780\pi\) |
−0.697671 | + | 0.716418i | \(0.745780\pi\) | |||||||
\(318\) | −4.55115e12 | + | 1.12792e13i | −0.00440108 | + | 0.0109072i | ||||
\(319\) | 2.54496e15i | 2.41511i | ||||||||
\(320\) | −9.71869e13 | − | 1.76295e15i | −0.0905124 | − | 1.64188i | ||||
\(321\) | −2.30248e14 | −0.210458 | ||||||||
\(322\) | 9.79382e14 | + | 3.95181e14i | 0.878652 | + | 0.354537i | ||||
\(323\) | 2.92694e14 | − | 2.92694e14i | 0.257750 | − | 0.257750i | ||||
\(324\) | −3.49826e14 | − | 3.37212e14i | −0.302400 | − | 0.291496i | ||||
\(325\) | −1.98160e15 | + | 1.98160e15i | −1.68157 | + | 1.68157i | ||||
\(326\) | −1.67309e14 | + | 7.11076e13i | −0.139384 | + | 0.0592393i | ||||
\(327\) | 6.26590e14 | 0.512503 | ||||||||
\(328\) | −1.05715e15 | + | 4.72391e14i | −0.848970 | + | 0.379366i | ||||
\(329\) | − | 5.16921e14i | − | 0.407613i | ||||||
\(330\) | −1.31948e15 | + | 5.60790e14i | −1.02169 | + | 0.434227i | ||||
\(331\) | −6.98862e14 | − | 6.98862e14i | −0.531402 | − | 0.531402i | 0.389587 | − | 0.920989i | \(-0.372618\pi\) |
−0.920989 | + | 0.389587i | \(0.872618\pi\) | |||||||
\(332\) | −2.23486e15 | + | 4.10304e13i | −1.66887 | + | 0.0306392i | ||||
\(333\) | 1.02869e14 | + | 1.02869e14i | 0.0754433 | + | 0.0754433i | ||||
\(334\) | 1.41743e15 | + | 5.71935e14i | 1.02099 | + | 0.411972i | ||||
\(335\) | − | 1.33772e15i | − | 0.946449i | ||||||
\(336\) | −4.57525e14 | − | 4.25106e14i | −0.317965 | − | 0.295435i | ||||
\(337\) | 2.21494e15 | 1.51211 | 0.756055 | − | 0.654509i | \(-0.227124\pi\) | ||||
0.756055 | + | 0.654509i | \(0.227124\pi\) | |||||||
\(338\) | 5.28816e14 | − | 1.31057e15i | 0.354654 | − | 0.878942i | ||||
\(339\) | 4.73721e14 | − | 4.73721e14i | 0.312122 | − | 0.312122i | ||||
\(340\) | 2.77860e15 | − | 5.10130e13i | 1.79867 | − | 0.0330223i | ||||
\(341\) | 2.62077e15 | − | 2.62077e15i | 1.66687 | − | 1.66687i | ||||
\(342\) | 1.65223e14 | + | 3.88752e14i | 0.103256 | + | 0.242949i | ||||
\(343\) | −1.69510e15 | −1.04095 | ||||||||
\(344\) | −2.06419e14 | + | 5.39928e14i | −0.124566 | + | 0.325825i | ||||
\(345\) | 1.25724e15i | 0.745596i | ||||||||
\(346\) | 4.90073e14 | + | 1.15309e15i | 0.285630 | + | 0.672058i | ||||
\(347\) | 1.37165e15 | + | 1.37165e15i | 0.785720 | + | 0.785720i | 0.980789 | − | 0.195070i | \(-0.0624932\pi\) |
−0.195070 | + | 0.980789i | \(0.562493\pi\) | |||||||
\(348\) | −9.50173e14 | − | 9.15913e14i | −0.534967 | − | 0.515678i | ||||
\(349\) | −3.66453e14 | − | 3.66453e14i | −0.202799 | − | 0.202799i | 0.598399 | − | 0.801198i | \(-0.295804\pi\) |
−0.801198 | + | 0.598399i | \(0.795804\pi\) | |||||||
\(350\) | −1.11623e15 | + | 2.76635e15i | −0.607216 | + | 1.50487i | ||||
\(351\) | 2.13182e15i | 1.14001i | ||||||||
\(352\) | 2.55107e15 | − | 1.19661e15i | 1.34112 | − | 0.629066i | ||||
\(353\) | 2.75673e15 | 1.42477 | 0.712386 | − | 0.701788i | \(-0.247614\pi\) | ||||
0.712386 | + | 0.701788i | \(0.247614\pi\) | |||||||
\(354\) | 8.26680e13 | + | 3.33566e13i | 0.0420066 | + | 0.0169497i | ||||
\(355\) | −1.01835e15 | + | 1.01835e15i | −0.508778 | + | 0.508778i | ||||
\(356\) | 6.24510e14 | − | 6.47870e14i | 0.306789 | − | 0.318264i | ||||
\(357\) | 6.95090e14 | − | 6.95090e14i | 0.335762 | − | 0.335762i | ||||
\(358\) | 9.72012e14 | − | 4.13113e14i | 0.461714 | − | 0.196232i | ||||
\(359\) | −3.94981e15 | −1.84505 | −0.922527 | − | 0.385932i | \(-0.873880\pi\) | ||||
−0.922527 | + | 0.385932i | \(0.873880\pi\) | |||||||
\(360\) | −1.01273e15 | + | 2.64897e15i | −0.465241 | + | 1.21692i | ||||
\(361\) | 1.96761e15i | 0.888986i | ||||||||
\(362\) | −7.58187e14 | + | 3.22236e14i | −0.336919 | + | 0.143193i | ||||
\(363\) | −8.80584e14 | − | 8.80584e14i | −0.384885 | − | 0.384885i | ||||
\(364\) | −5.67488e13 | − | 3.09102e15i | −0.0243977 | − | 1.32890i | ||||
\(365\) | −3.45187e14 | − | 3.45187e14i | −0.145981 | − | 0.145981i | ||||
\(366\) | 2.62732e14 | + | 1.06012e14i | 0.109301 | + | 0.0441032i | ||||
\(367\) | − | 2.22368e15i | − | 0.910073i | −0.890473 | − | 0.455036i | \(-0.849626\pi\) | ||
0.890473 | − | 0.455036i | \(-0.150374\pi\) | |||||||
\(368\) | −9.06990e13 | − | 2.46928e15i | −0.0365187 | − | 0.994224i | ||||
\(369\) | 1.85981e15 | 0.736733 | ||||||||
\(370\) | 2.12593e14 | − | 5.26873e14i | 0.0828590 | − | 0.205350i | ||||
\(371\) | −4.53175e13 | + | 4.53175e13i | −0.0173789 | + | 0.0173789i | ||||
\(372\) | 3.52804e13 | + | 1.92167e15i | 0.0133130 | + | 0.725138i | ||||
\(373\) | −1.81548e15 | + | 1.81548e15i | −0.674123 | + | 0.674123i | −0.958664 | − | 0.284541i | \(-0.908159\pi\) |
0.284541 | + | 0.958664i | \(0.408159\pi\) | |||||||
\(374\) | 1.73478e15 | + | 4.08176e15i | 0.633891 | + | 1.49148i | ||||
\(375\) | −1.46711e15 | −0.527563 | ||||||||
\(376\) | −1.10420e15 | + | 4.93417e14i | −0.390770 | + | 0.174617i | ||||
\(377\) | − | 6.53292e15i | − | 2.27541i | ||||||
\(378\) | 8.87608e14 | + | 2.08845e15i | 0.304278 | + | 0.715934i | ||||
\(379\) | 1.00772e15 | + | 1.00772e15i | 0.340019 | + | 0.340019i | 0.856374 | − | 0.516355i | \(-0.172712\pi\) |
−0.516355 | + | 0.856374i | \(0.672712\pi\) | |||||||
\(380\) | 1.14486e15 | − | 1.18769e15i | 0.380235 | − | 0.394458i | ||||
\(381\) | 8.03487e14 | + | 8.03487e14i | 0.262681 | + | 0.262681i | ||||
\(382\) | 3.01930e14 | − | 7.48277e14i | 0.0971686 | − | 0.240814i | ||||
\(383\) | − | 5.95717e14i | − | 0.188733i | −0.995538 | − | 0.0943665i | \(-0.969917\pi\) | ||
0.995538 | − | 0.0943665i | \(-0.0300825\pi\) | |||||||
\(384\) | −4.71352e14 | + | 1.38310e15i | −0.147014 | + | 0.431387i | ||||
\(385\) | −7.55456e15 | −2.31977 | ||||||||
\(386\) | 2.94680e15 | + | 1.18904e15i | 0.890897 | + | 0.359478i | ||||
\(387\) | 6.56514e14 | − | 6.56514e14i | 0.195424 | − | 0.195424i | ||||
\(388\) | 2.50116e14 | + | 2.41098e14i | 0.0733081 | + | 0.0706648i | ||||
\(389\) | 1.53156e15 | − | 1.53156e15i | 0.442013 | − | 0.442013i | −0.450675 | − | 0.892688i | \(-0.648817\pi\) |
0.892688 | + | 0.450675i | \(0.148817\pi\) | |||||||
\(390\) | 3.38711e15 | − | 1.43955e15i | 0.962590 | − | 0.409109i | ||||
\(391\) | 3.88922e15 | 1.08843 | ||||||||
\(392\) | 1.37722e14 | + | 3.08204e14i | 0.0379567 | + | 0.0849419i | ||||
\(393\) | − | 3.02358e15i | − | 0.820665i | ||||||
\(394\) | −6.07432e15 | + | 2.58164e15i | −1.62375 | + | 0.690109i | ||||
\(395\) | −5.17498e14 | − | 5.17498e14i | −0.136247 | − | 0.136247i | ||||
\(396\) | −4.52515e15 | + | 8.30784e13i | −1.17344 | + | 0.0215435i | ||||
\(397\) | 1.95334e15 | + | 1.95334e15i | 0.498925 | + | 0.498925i | 0.911103 | − | 0.412179i | \(-0.135232\pi\) |
−0.412179 | + | 0.911103i | \(0.635232\pi\) | |||||||
\(398\) | 2.36376e15 | + | 9.53779e14i | 0.594710 | + | 0.239966i | ||||
\(399\) | − | 5.83508e14i | − | 0.144614i | ||||||
\(400\) | 6.97472e15 | − | 2.56188e14i | 1.70281 | − | 0.0625458i | ||||
\(401\) | −4.34637e15 | −1.04535 | −0.522674 | − | 0.852533i | \(-0.675065\pi\) | ||||
−0.522674 | + | 0.852533i | \(0.675065\pi\) | |||||||
\(402\) | −4.14257e14 | + | 1.02666e15i | −0.0981551 | + | 0.243259i | ||||
\(403\) | −6.72751e15 | + | 6.72751e15i | −1.57045 | + | 1.57045i | ||||
\(404\) | 6.48864e13 | − | 1.19127e12i | 0.0149233 | − | 0.000273981i | ||||
\(405\) | 2.15518e15 | − | 2.15518e15i | 0.488376 | − | 0.488376i | ||||
\(406\) | −2.72006e15 | − | 6.40002e15i | −0.607327 | − | 1.42898i | ||||
\(407\) | 9.06706e14 | 0.199480 | ||||||||
\(408\) | −2.14828e15 | − | 8.21305e14i | −0.465724 | − | 0.178051i | ||||
\(409\) | 1.48981e15i | 0.318267i | 0.987257 | + | 0.159134i | \(0.0508701\pi\) | ||||
−0.987257 | + | 0.159134i | \(0.949130\pi\) | |||||||
\(410\) | −2.84098e15 | − | 6.68453e15i | −0.598088 | − | 1.40724i | ||||
\(411\) | 1.57142e14 | + | 1.57142e14i | 0.0326018 | + | 0.0326018i | ||||
\(412\) | −4.59046e14 | − | 4.42494e14i | −0.0938583 | − | 0.0904741i | ||||
\(413\) | 3.32144e14 | + | 3.32144e14i | 0.0669308 | + | 0.0669308i | ||||
\(414\) | −1.48509e15 | + | 3.68052e15i | −0.294952 | + | 0.730983i | ||||
\(415\) | − | 1.40212e16i | − | 2.74470i | ||||||
\(416\) | −6.54860e15 | + | 3.07170e15i | −1.26354 | + | 0.592678i | ||||
\(417\) | −1.81752e15 | −0.345670 | ||||||||
\(418\) | 2.44141e15 | + | 9.85110e14i | 0.457702 | + | 0.184683i | ||||
\(419\) | −4.54133e15 | + | 4.54133e15i | −0.839264 | + | 0.839264i | −0.988762 | − | 0.149498i | \(-0.952234\pi\) |
0.149498 | + | 0.988762i | \(0.452234\pi\) | |||||||
\(420\) | 2.71883e15 | − | 2.82053e15i | 0.495320 | − | 0.513848i | ||||
\(421\) | 3.03210e15 | − | 3.03210e15i | 0.544567 | − | 0.544567i | −0.380297 | − | 0.924864i | \(-0.624178\pi\) |
0.924864 | + | 0.380297i | \(0.124178\pi\) | |||||||
\(422\) | 1.87234e15 | − | 7.95760e14i | 0.331520 | − | 0.140899i | ||||
\(423\) | 1.94259e15 | 0.339109 | ||||||||
\(424\) | 1.40060e14 | + | 5.35464e13i | 0.0241057 | + | 0.00921584i | ||||
\(425\) | 1.09855e16i | 1.86417i | ||||||||
\(426\) | 1.09691e15 | − | 4.66194e14i | 0.183532 | − | 0.0780027i | ||||
\(427\) | 1.05560e15 | + | 1.05560e15i | 0.174154 | + | 0.174154i | ||||
\(428\) | 5.21054e13 | + | 2.83810e15i | 0.00847657 | + | 0.461706i | ||||
\(429\) | 4.15314e15 | + | 4.15314e15i | 0.666243 | + | 0.666243i | ||||
\(430\) | −3.36251e15 | − | 1.35678e15i | −0.531928 | − | 0.214633i | ||||
\(431\) | 6.13060e15i | 0.956399i | 0.878251 | + | 0.478199i | \(0.158710\pi\) | ||||
−0.878251 | + | 0.478199i | \(0.841290\pi\) | |||||||
\(432\) | 3.61391e15 | − | 3.88952e15i | 0.556000 | − | 0.598403i | ||||
\(433\) | 2.82269e15 | 0.428287 | 0.214144 | − | 0.976802i | \(-0.431304\pi\) | ||||
0.214144 | + | 0.976802i | \(0.431304\pi\) | |||||||
\(434\) | −3.78957e15 | + | 9.39174e15i | −0.567090 | + | 1.40542i | ||||
\(435\) | 5.85376e15 | − | 5.85376e15i | 0.863971 | − | 0.863971i | ||||
\(436\) | −1.41798e14 | − | 7.72353e15i | −0.0206420 | − | 1.12434i | ||||
\(437\) | 1.63245e15 | − | 1.63245e15i | 0.234396 | − | 0.234396i | ||||
\(438\) | 1.58024e14 | + | 3.71814e14i | 0.0223810 | + | 0.0526600i | ||||
\(439\) | −3.59519e15 | −0.502267 | −0.251134 | − | 0.967952i | \(-0.580803\pi\) | ||||
−0.251134 | + | 0.967952i | \(0.580803\pi\) | |||||||
\(440\) | 7.21106e15 | + | 1.61374e16i | 0.993764 | + | 2.22391i | ||||
\(441\) | − | 5.42215e14i | − | 0.0737123i | ||||||
\(442\) | −4.45318e15 | − | 1.04779e16i | −0.597224 | − | 1.40520i | ||||
\(443\) | 6.95131e15 | + | 6.95131e15i | 0.919696 | + | 0.919696i | 0.997007 | − | 0.0773112i | \(-0.0246335\pi\) |
−0.0773112 | + | 0.997007i | \(0.524634\pi\) | |||||||
\(444\) | −3.26316e14 | + | 3.38522e14i | −0.0425933 | + | 0.0441865i | ||||
\(445\) | 3.99135e15 | + | 3.99135e15i | 0.513997 | + | 0.513997i | ||||
\(446\) | 2.85882e15 | − | 7.08504e15i | 0.363226 | − | 0.900188i | ||||
\(447\) | − | 2.78376e15i | − | 0.348969i | ||||||
\(448\) | −5.13644e15 | + | 5.73580e15i | −0.635322 | + | 0.709457i | ||||
\(449\) | −7.47373e15 | −0.912136 | −0.456068 | − | 0.889945i | \(-0.650743\pi\) | ||||
−0.456068 | + | 0.889945i | \(0.650743\pi\) | |||||||
\(450\) | −1.03960e16 | − | 4.19478e15i | −1.25196 | − | 0.505166i | ||||
\(451\) | 8.19632e15 | − | 8.19632e15i | 0.974001 | − | 0.974001i | ||||
\(452\) | −5.94643e15 | − | 5.73202e15i | −0.697310 | − | 0.672167i | ||||
\(453\) | −4.34705e15 | + | 4.34705e15i | −0.503043 | + | 0.503043i | ||||
\(454\) | 1.14866e16 | − | 4.88188e15i | 1.31176 | − | 0.557509i | ||||
\(455\) | 1.93926e16 | 2.18558 | ||||||||
\(456\) | −1.24644e15 | + | 5.56977e14i | −0.138638 | + | 0.0619509i | ||||
\(457\) | 3.00689e15i | 0.330081i | 0.986287 | + | 0.165040i | \(0.0527754\pi\) | ||||
−0.986287 | + | 0.165040i | \(0.947225\pi\) | |||||||
\(458\) | −2.30255e15 | + | 9.78602e14i | −0.249469 | + | 0.106026i | ||||
\(459\) | 5.90910e15 | + | 5.90910e15i | 0.631896 | + | 0.631896i | ||||
\(460\) | 1.54971e16 | − | 2.84516e14i | 1.63570 | − | 0.0300303i | ||||
\(461\) | −4.46299e15 | − | 4.46299e15i | −0.464965 | − | 0.464965i | 0.435314 | − | 0.900279i | \(-0.356637\pi\) |
−0.900279 | + | 0.435314i | \(0.856637\pi\) | |||||||
\(462\) | 5.79786e15 | + | 2.33944e15i | 0.596233 | + | 0.240580i | ||||
\(463\) | 1.28293e16i | 1.30232i | 0.758942 | + | 0.651158i | \(0.225717\pi\) | ||||
−0.758942 | + | 0.651158i | \(0.774283\pi\) | |||||||
\(464\) | −1.10748e16 | + | 1.19194e16i | −1.10976 | + | 1.19439i | ||||
\(465\) | −1.20562e16 | −1.19260 | ||||||||
\(466\) | 6.21928e15 | − | 1.54133e16i | 0.607330 | − | 1.50515i | ||||
\(467\) | 4.54721e13 | − | 4.54721e13i | 0.00438373 | − | 0.00438373i | −0.704912 | − | 0.709295i | \(-0.749013\pi\) |
0.709295 | + | 0.704912i | \(0.249013\pi\) | |||||||
\(468\) | 1.16161e16 | − | 2.13262e14i | 1.10556 | − | 0.0202973i | ||||
\(469\) | −4.12491e15 | + | 4.12491e15i | −0.387594 | + | 0.387594i | ||||
\(470\) | −2.96743e15 | − | 6.98206e15i | −0.275292 | − | 0.647734i | ||||
\(471\) | −9.86283e15 | −0.903392 | ||||||||
\(472\) | 3.92455e14 | − | 1.02654e15i | 0.0354926 | − | 0.0928375i | ||||
\(473\) | − | 5.78661e15i | − | 0.516722i | ||||||
\(474\) | 2.36907e14 | + | 5.57417e14i | 0.0208885 | + | 0.0491485i | ||||
\(475\) | 4.61099e15 | + | 4.61099e15i | 0.401451 | + | 0.401451i | ||||
\(476\) | −8.72518e15 | − | 8.41058e15i | −0.750124 | − | 0.723077i | ||||
\(477\) | −1.70304e14 | − | 1.70304e14i | −0.0144582 | − | 0.0144582i | ||||
\(478\) | −3.95489e15 | + | 9.80145e15i | −0.331564 | + | 0.821718i | ||||
\(479\) | − | 1.06951e16i | − | 0.885462i | −0.896654 | − | 0.442731i | \(-0.854010\pi\) | ||
0.896654 | − | 0.442731i | \(-0.145990\pi\) | |||||||
\(480\) | −8.62017e15 | − | 3.11544e15i | −0.704804 | − | 0.254726i | ||||
\(481\) | −2.32751e15 | −0.187941 | ||||||||
\(482\) | −7.27054e15 | − | 2.93367e15i | −0.579808 | − | 0.233953i | ||||
\(483\) | 3.87674e15 | − | 3.87674e15i | 0.305340 | − | 0.305340i | ||||
\(484\) | −1.06551e16 | + | 1.10536e16i | −0.828865 | + | 0.859869i | ||||
\(485\) | −1.54090e15 | + | 1.54090e15i | −0.118392 | + | 0.118392i | ||||
\(486\) | −1.22274e16 | + | 5.19673e15i | −0.927930 | + | 0.394378i | ||||
\(487\) | −9.46324e15 | −0.709359 | −0.354680 | − | 0.934988i | \(-0.615410\pi\) | ||||
−0.354680 | + | 0.934988i | \(0.615410\pi\) | |||||||
\(488\) | 1.24728e15 | − | 3.26250e15i | 0.0923520 | − | 0.241564i | ||||
\(489\) | 9.43734e14i | 0.0690235i | ||||||||
\(490\) | −1.94883e15 | + | 8.28269e14i | −0.140798 | + | 0.0598405i | ||||
\(491\) | −1.57121e16 | − | 1.57121e16i | −1.12136 | − | 1.12136i | −0.991537 | − | 0.129821i | \(-0.958560\pi\) |
−0.129821 | − | 0.991537i | \(-0.541440\pi\) | |||||||
\(492\) | 1.10338e14 | + | 6.00992e15i | 0.00777917 | + | 0.423719i | ||||
\(493\) | −1.81084e16 | − | 1.81084e16i | −1.26124 | − | 1.26124i | ||||
\(494\) | −6.26710e15 | − | 2.52878e15i | −0.431226 | − | 0.174000i | ||||
\(495\) | − | 2.83901e16i | − | 1.92990i | ||||||
\(496\) | 2.36791e16 | − | 8.69754e14i | 1.59028 | − | 0.0584126i | ||||
\(497\) | 6.28024e15 | 0.416714 | ||||||||
\(498\) | −4.34197e15 | + | 1.07608e16i | −0.284650 | + | 0.705451i | ||||
\(499\) | −2.11332e16 | + | 2.11332e16i | −1.36887 | + | 1.36887i | −0.506813 | + | 0.862056i | \(0.669177\pi\) |
−0.862056 | + | 0.506813i | \(0.830823\pi\) | |||||||
\(500\) | 3.32009e14 | + | 1.80840e16i | 0.0212486 | + | 1.15738i | ||||
\(501\) | 5.61069e15 | − | 5.61069e15i | 0.354805 | − | 0.354805i | ||||
\(502\) | 7.64518e15 | + | 1.79883e16i | 0.477711 | + | 1.12401i | ||||
\(503\) | 5.48523e15 | 0.338678 | 0.169339 | − | 0.985558i | \(-0.445837\pi\) | ||||
0.169339 | + | 0.985558i | \(0.445837\pi\) | |||||||
\(504\) | 1.12910e16 | − | 5.04541e15i | 0.688886 | − | 0.307832i | ||||
\(505\) | 4.07087e14i | 0.0245436i | ||||||||
\(506\) | 9.67542e15 | + | 2.27653e16i | 0.576457 | + | 1.35634i | ||||
\(507\) | −5.18769e15 | − | 5.18769e15i | −0.305440 | − | 0.305440i | ||||
\(508\) | 9.72219e15 | − | 1.00858e16i | 0.565694 | − | 0.586854i | ||||
\(509\) | 1.26265e16 | + | 1.26265e16i | 0.726069 | + | 0.726069i | 0.969834 | − | 0.243765i | \(-0.0783826\pi\) |
−0.243765 | + | 0.969834i | \(0.578383\pi\) | |||||||
\(510\) | 5.39836e15 | − | 1.33788e16i | 0.306790 | − | 0.760321i | ||||
\(511\) | 2.12879e15i | 0.119566i | ||||||||
\(512\) | 1.71552e16 | + | 5.49702e15i | 0.952306 | + | 0.305146i | ||||
\(513\) | 4.96052e15 | 0.272159 | ||||||||
\(514\) | 6.05584e15 | + | 2.44354e15i | 0.328395 | + | 0.132507i | ||||
\(515\) | 2.82806e15 | − | 2.82806e15i | 0.151581 | − | 0.151581i | ||||
\(516\) | 2.16046e15 | + | 2.08256e15i | 0.114458 | + | 0.110331i | ||||
\(517\) | 8.56114e15 | − | 8.56114e15i | 0.448320 | − | 0.448320i | ||||
\(518\) | −2.28016e15 | + | 9.69089e14i | −0.118029 | + | 0.0501632i | ||||
\(519\) | 6.50422e15 | 0.332806 | ||||||||
\(520\) | −1.85108e16 | − | 4.14247e16i | −0.936279 | − | 2.09527i | ||||
\(521\) | − | 1.89229e16i | − | 0.946155i | −0.881021 | − | 0.473078i | \(-0.843143\pi\) | ||
0.881021 | − | 0.473078i | \(-0.156857\pi\) | |||||||
\(522\) | 2.40513e16 | − | 1.02220e16i | 1.18882 | − | 0.505258i | ||||
\(523\) | 1.77132e15 | + | 1.77132e15i | 0.0865539 | + | 0.0865539i | 0.749058 | − | 0.662504i | \(-0.230506\pi\) |
−0.662504 | + | 0.749058i | \(0.730506\pi\) | |||||||
\(524\) | −3.72695e16 | + | 6.84241e14i | −1.80039 | + | 0.0330538i | ||||
\(525\) | 1.09502e16 | + | 1.09502e16i | 0.522957 | + | 0.522957i | ||||
\(526\) | 2.36971e16 | + | 9.56177e15i | 1.11887 | + | 0.451465i | ||||
\(527\) | 3.72955e16i | 1.74098i | ||||||||
\(528\) | −5.36931e14 | − | 1.46180e16i | −0.0247808 | − | 0.674658i | ||||
\(529\) | −2.23199e14 | −0.0101849 | ||||||||
\(530\) | −3.51955e14 | + | 8.72255e14i | −0.0158793 | + | 0.0393539i | ||||
\(531\) | −1.24820e15 | + | 1.24820e15i | −0.0556822 | + | 0.0556822i | ||||
\(532\) | −7.19249e15 | + | 1.32049e14i | −0.317256 | + | 0.00582458i | ||||
\(533\) | −2.10400e16 | + | 2.10400e16i | −0.917659 | + | 0.917659i | ||||
\(534\) | −1.82721e15 | − | 4.29924e15i | −0.0788028 | − | 0.185415i | ||||
\(535\) | −1.78058e16 | −0.759344 | ||||||||
\(536\) | 1.27486e16 | + | 4.87392e15i | 0.537619 | + | 0.205537i | ||||
\(537\) | − | 5.48281e15i | − | 0.228643i | ||||||
\(538\) | 1.51560e16 | + | 3.56606e16i | 0.625017 | + | 1.47060i | ||||
\(539\) | −2.38958e15 | − | 2.38958e15i | −0.0974517 | − | 0.0974517i | ||||
\(540\) | 2.39779e16 | + | 2.31133e16i | 0.967049 | + | 0.932180i | ||||
\(541\) | 1.07672e16 | + | 1.07672e16i | 0.429455 | + | 0.429455i | 0.888443 | − | 0.458988i | \(-0.151788\pi\) |
−0.458988 | + | 0.888443i | \(0.651788\pi\) | |||||||
\(542\) | 1.35292e16 | − | 3.35296e16i | 0.533675 | − | 1.32261i | ||||
\(543\) | 4.27669e15i | 0.166843i | ||||||||
\(544\) | −9.63750e15 | + | 2.66661e16i | −0.371853 | + | 1.02889i | ||||
\(545\) | 4.84562e16 | 1.84914 | ||||||||
\(546\) | −1.48831e16 | − | 6.00535e15i | −0.561744 | − | 0.226664i | ||||
\(547\) | 2.39053e16 | − | 2.39053e16i | 0.892422 | − | 0.892422i | −0.102329 | − | 0.994751i | \(-0.532629\pi\) |
0.994751 | + | 0.102329i | \(0.0326294\pi\) | |||||||
\(548\) | 1.90142e15 | − | 1.97254e15i | 0.0702093 | − | 0.0728355i | ||||
\(549\) | −3.96697e15 | + | 3.96697e15i | −0.144885 | + | 0.144885i | ||||
\(550\) | −6.43025e16 | + | 2.73291e16i | −2.32301 | + | 0.987300i | ||||
\(551\) | −1.52015e16 | −0.543220 | ||||||||
\(552\) | −1.19816e16 | − | 4.58068e15i | −0.423527 | − | 0.161918i | ||||
\(553\) | 3.19144e15i | 0.111593i | ||||||||
\(554\) | 3.12666e16 | − | 1.32886e16i | 1.08149 | − | 0.459641i | ||||
\(555\) | −2.08555e15 | − | 2.08555e15i | −0.0713611 | − | 0.0713611i | ||||
\(556\) | 4.11307e14 | + | 2.24032e16i | 0.0139225 | + | 0.758337i | ||||
\(557\) | −3.88868e16 | − | 3.88868e16i | −1.30218 | − | 1.30218i | −0.926918 | − | 0.375263i | \(-0.877552\pi\) |
−0.375263 | − | 0.926918i | \(-0.622448\pi\) | |||||||
\(558\) | −3.52942e16 | − | 1.42412e16i | −1.16922 | − | 0.471783i | ||||
\(559\) | 1.48542e16i | 0.486832i | ||||||||
\(560\) | −3.53819e16 | − | 3.28748e16i | −1.14724 | − | 1.06595i | ||||
\(561\) | 2.30239e16 | 0.738586 | ||||||||
\(562\) | 1.31058e16 | − | 3.24803e16i | 0.415955 | − | 1.03087i | ||||
\(563\) | −2.17968e16 | + | 2.17968e16i | −0.684450 | + | 0.684450i | −0.961000 | − | 0.276550i | \(-0.910809\pi\) |
0.276550 | + | 0.961000i | \(0.410809\pi\) | |||||||
\(564\) | 1.15249e14 | + | 6.27742e15i | 0.00358065 | + | 0.195032i | ||||
\(565\) | 3.66344e16 | − | 3.66344e16i | 1.12615 | − | 1.12615i | ||||
\(566\) | 2.02715e16 | + | 4.76966e16i | 0.616576 | + | 1.45074i | ||||
\(567\) | −1.32911e16 | −0.400003 | ||||||||
\(568\) | −5.99468e15 | − | 1.34153e16i | −0.178516 | − | 0.399494i | ||||
\(569\) | − | 1.54725e16i | − | 0.455917i | −0.973671 | − | 0.227959i | \(-0.926795\pi\) | ||
0.973671 | − | 0.227959i | \(-0.0732051\pi\) | |||||||
\(570\) | −3.34968e15 | − | 7.88145e15i | −0.0976685 | − | 0.229804i | ||||
\(571\) | −1.82306e16 | − | 1.82306e16i | −0.525997 | − | 0.525997i | 0.393379 | − | 0.919376i | \(-0.371306\pi\) |
−0.919376 | + | 0.393379i | \(0.871306\pi\) | |||||||
\(572\) | 5.02530e16 | − | 5.21327e16i | 1.43478 | − | 1.48845i | ||||
\(573\) | −2.96194e15 | − | 2.96194e15i | −0.0836851 | − | 0.0836851i | ||||
\(574\) | −1.18517e16 | + | 2.93722e16i | −0.331367 | + | 0.821230i | ||||
\(575\) | 6.12694e16i | 1.69526i | ||||||||
\(576\) | −2.15552e16 | − | 1.93028e16i | −0.590223 | − | 0.528548i | ||||
\(577\) | 3.70710e16 | 1.00457 | 0.502284 | − | 0.864703i | \(-0.332493\pi\) | ||||
0.502284 | + | 0.864703i | \(0.332493\pi\) | |||||||
\(578\) | −6.80788e15 | − | 2.74698e15i | −0.182576 | − | 0.0736697i | ||||
\(579\) | 1.16645e16 | − | 1.16645e16i | 0.309595 | − | 0.309595i | ||||
\(580\) | −7.34799e16 | − | 7.08305e16i | −1.93019 | − | 1.86060i | ||||
\(581\) | −4.32346e16 | + | 4.32346e16i | −1.12402 | + | 1.12402i | ||||
\(582\) | 1.65976e15 | − | 7.05413e14i | 0.0427079 | − | 0.0181512i | ||||
\(583\) | −1.50108e15 | −0.0382290 | ||||||||
\(584\) | 4.54733e15 | − | 2.03199e15i | 0.114625 | − | 0.0512207i | ||||
\(585\) | 7.28773e16i | 1.81827i | ||||||||
\(586\) | −1.37122e15 | + | 5.82779e14i | −0.0338626 | + | 0.0143919i | ||||
\(587\) | −9.10567e15 | − | 9.10567e15i | −0.222579 | − | 0.222579i | 0.587005 | − | 0.809583i | \(-0.300307\pi\) |
−0.809583 | + | 0.587005i | \(0.800307\pi\) | |||||||
\(588\) | 1.75215e15 | − | 3.21682e13i | 0.0423944 | − | 0.000778329i | ||||
\(589\) | 1.56542e16 | + | 1.56542e16i | 0.374922 | + | 0.374922i | ||||
\(590\) | 6.39298e15 | + | 2.57957e15i | 0.151562 | + | 0.0611555i | ||||
\(591\) | 3.42633e16i | 0.804089i | ||||||||
\(592\) | 4.24657e15 | + | 3.94567e15i | 0.0986526 | + | 0.0916621i | ||||
\(593\) | 3.86395e16 | 0.888594 | 0.444297 | − | 0.895880i | \(-0.353453\pi\) | ||||
0.444297 | + | 0.895880i | \(0.353453\pi\) | |||||||
\(594\) | −1.98881e16 | + | 4.92889e16i | −0.452766 | + | 1.12210i | ||||
\(595\) | 5.37535e16 | − | 5.37535e16i | 1.21145 | − | 1.21145i | ||||
\(596\) | −3.43135e16 | + | 6.29971e14i | −0.765575 | + | 0.0140554i | ||||
\(597\) | 9.35659e15 | − | 9.35659e15i | 0.206667 | − | 0.206667i | ||||
\(598\) | −2.48368e16 | − | 5.84384e16i | −0.543111 | − | 1.27788i | ||||
\(599\) | 4.02516e16 | 0.871409 | 0.435704 | − | 0.900090i | \(-0.356499\pi\) | ||||
0.435704 | + | 0.900090i | \(0.356499\pi\) | |||||||
\(600\) | 1.29385e16 | − | 3.38431e16i | 0.277318 | − | 0.725376i | ||||
\(601\) | 4.66828e16i | 0.990627i | 0.868714 | + | 0.495314i | \(0.164947\pi\) | ||||
−0.868714 | + | 0.495314i | \(0.835053\pi\) | |||||||
\(602\) | 6.18474e15 | + | 1.45521e16i | 0.129940 | + | 0.305735i | ||||
\(603\) | −1.55014e16 | − | 1.55014e16i | −0.322454 | − | 0.322454i | ||||
\(604\) | 5.45668e16 | + | 5.25993e16i | 1.12385 | + | 1.08332i | ||||
\(605\) | −6.80984e16 | − | 6.80984e16i | −1.38869 | − | 1.38869i | ||||
\(606\) | 1.26064e14 | − | 3.12425e14i | 0.00254539 | − | 0.00630827i | ||||
\(607\) | 2.60801e15i | 0.0521407i | 0.999660 | + | 0.0260704i | \(0.00829940\pi\) | ||||
−0.999660 | + | 0.0260704i | \(0.991701\pi\) | |||||||
\(608\) | 7.14753e15 | + | 1.52379e16i | 0.141493 | + | 0.301651i | ||||
\(609\) | −3.61005e16 | −0.707635 | ||||||||
\(610\) | 2.03179e16 | + | 8.19827e15i | 0.394366 | + | 0.159127i | ||||
\(611\) | −2.19765e16 | + | 2.19765e16i | −0.422387 | + | 0.422387i | ||||
\(612\) | 3.16070e16 | − | 3.27893e16i | 0.601554 | − | 0.624056i | ||||
\(613\) | −4.55348e15 | + | 4.55348e15i | −0.0858185 | + | 0.0858185i | −0.748713 | − | 0.662894i | \(-0.769328\pi\) |
0.662894 | + | 0.748713i | \(0.269328\pi\) | |||||||
\(614\) | 1.36567e16 | − | 5.80419e15i | 0.254879 | − | 0.108326i | ||||
\(615\) | −3.77053e16 | −0.696869 | ||||||||
\(616\) | 2.75246e16 | − | 7.19956e16i | 0.503775 | − | 1.31772i | ||||
\(617\) | − | 9.59914e16i | − | 1.73989i | −0.493150 | − | 0.869945i | \(-0.664154\pi\) | ||
0.493150 | − | 0.869945i | \(-0.335846\pi\) | |||||||
\(618\) | −3.04621e15 | + | 1.29466e15i | −0.0546801 | + | 0.0232395i | ||||
\(619\) | −3.14861e16 | − | 3.14861e16i | −0.559726 | − | 0.559726i | 0.369503 | − | 0.929229i | \(-0.379528\pi\) |
−0.929229 | + | 0.369503i | \(0.879528\pi\) | |||||||
\(620\) | 2.72835e15 | + | 1.48609e17i | 0.0480341 | + | 2.61634i | ||||
\(621\) | 3.29569e16 | + | 3.29569e16i | 0.574642 | + | 0.574642i | ||||
\(622\) | −7.27641e16 | − | 2.93603e16i | −1.25654 | − | 0.507013i | ||||
\(623\) | − | 2.46149e16i | − | 0.420988i | ||||||
\(624\) | 1.37830e15 | + | 3.75243e16i | 0.0233473 | + | 0.635632i | ||||
\(625\) | −1.18923e16 | −0.199519 | ||||||||
\(626\) | 1.67838e16 | − | 4.15956e16i | 0.278898 | − | 0.691196i | ||||
\(627\) | 9.66394e15 | − | 9.66394e15i | 0.159056 | − | 0.159056i | ||||
\(628\) | 2.23198e15 | + | 1.21572e17i | 0.0363858 | + | 1.98188i | ||||
\(629\) | −6.45155e15 | + | 6.45155e15i | −0.104174 | + | 0.104174i | ||||
\(630\) | 3.03434e16 | + | 7.13948e16i | 0.485311 | + | 1.14189i | ||||
\(631\) | 8.02183e16 | 1.27086 | 0.635429 | − | 0.772159i | \(-0.280823\pi\) | ||||
0.635429 | + | 0.772159i | \(0.280823\pi\) | |||||||
\(632\) | 6.81727e15 | − | 3.04633e15i | 0.106981 | − | 0.0478051i | ||||
\(633\) | − | 1.05613e16i | − | 0.164170i | ||||||
\(634\) | −6.73487e14 | − | 1.58464e15i | −0.0103704 | − | 0.0244004i | ||||
\(635\) | 6.21362e16 | + | 6.21362e16i | 0.947769 | + | 0.947769i | ||||
\(636\) | 5.40227e14 | − | 5.60435e14i | 0.00816270 | − | 0.00846803i | ||||
\(637\) | 6.13406e15 | + | 6.13406e15i | 0.0918145 | + | 0.0918145i | ||||
\(638\) | 6.09468e16 | − | 1.51045e17i | 0.903705 | − | 2.23966i | ||||
\(639\) | 2.36012e16i | 0.346679i | ||||||||
\(640\) | −3.64511e16 | + | 1.06960e17i | −0.530434 | + | 1.55647i | ||||
\(641\) | −1.17631e17 | −1.69579 | −0.847897 | − | 0.530160i | \(-0.822132\pi\) | ||||
−0.847897 | + | 0.530160i | \(0.822132\pi\) | |||||||
\(642\) | 1.36653e16 | + | 5.51397e15i | 0.195169 | + | 0.0787507i | ||||
\(643\) | −2.37318e16 | + | 2.37318e16i | −0.335788 | + | 0.335788i | −0.854780 | − | 0.518991i | \(-0.826308\pi\) |
0.518991 | + | 0.854780i | \(0.326308\pi\) | |||||||
\(644\) | −4.86631e16 | − | 4.69085e16i | −0.682158 | − | 0.657561i | ||||
\(645\) | −1.33100e16 | + | 1.33100e16i | −0.184850 | + | 0.184850i | ||||
\(646\) | −2.43810e16 | + | 1.03621e16i | −0.335472 | + | 0.142578i | ||||
\(647\) | 6.31664e16 | 0.861114 | 0.430557 | − | 0.902563i | \(-0.358317\pi\) | ||||
0.430557 | + | 0.902563i | \(0.358317\pi\) | |||||||
\(648\) | 1.26868e16 | + | 2.83914e16i | 0.171357 | + | 0.383474i | ||||
\(649\) | 1.10018e16i | 0.147230i | ||||||||
\(650\) | 1.65065e17 | − | 7.01538e16i | 2.18864 | − | 0.930189i | ||||
\(651\) | 3.71758e16 | + | 3.71758e16i | 0.488398 | + | 0.488398i | ||||
\(652\) | 1.16328e16 | − | 2.13569e14i | 0.151425 | − | 0.00278005i | ||||
\(653\) | 2.13290e16 | + | 2.13290e16i | 0.275101 | + | 0.275101i | 0.831150 | − | 0.556049i | \(-0.187683\pi\) |
−0.556049 | + | 0.831150i | \(0.687683\pi\) | |||||||
\(654\) | −3.71885e16 | − | 1.50056e16i | −0.475271 | − | 0.191772i | ||||
\(655\) | − | 2.33823e17i | − | 2.96101i | ||||||
\(656\) | 7.40551e16 | − | 2.72011e15i | 0.929249 | − | 0.0341321i | ||||
\(657\) | −7.99999e15 | −0.0994712 | ||||||||
\(658\) | −1.23792e16 | + | 3.06795e16i | −0.152524 | + | 0.378001i | ||||
\(659\) | 5.76492e16 | − | 5.76492e16i | 0.703851 | − | 0.703851i | −0.261384 | − | 0.965235i | \(-0.584179\pi\) |
0.965235 | + | 0.261384i | \(0.0841789\pi\) | |||||||
\(660\) | 9.17417e16 | − | 1.68431e15i | 1.10995 | − | 0.0203778i | ||||
\(661\) | −9.71109e16 | + | 9.71109e16i | −1.16428 | + | 1.16428i | −0.180757 | + | 0.983528i | \(0.557855\pi\) |
−0.983528 | + | 0.180757i | \(0.942145\pi\) | |||||||
\(662\) | 2.47415e16 | + | 5.82142e16i | 0.293953 | + | 0.691641i | ||||
\(663\) | −5.91023e16 | −0.695863 | ||||||||
\(664\) | 1.33623e17 | + | 5.10853e16i | 1.55909 | + | 0.596056i | ||||
\(665\) | − | 4.51245e16i | − | 0.521775i | ||||||
\(666\) | −3.64184e15 | − | 8.56887e15i | −0.0417326 | − | 0.0981925i | ||||
\(667\) | −1.00996e17 | − | 1.00996e17i | −1.14696 | − | 1.14696i | ||||
\(668\) | −7.04287e16 | − | 6.78893e16i | −0.792668 | − | 0.764087i | ||||
\(669\) | −2.80451e16 | − | 2.80451e16i | −0.312824 | − | 0.312824i | ||||
\(670\) | −3.20358e16 | + | 7.93947e16i | −0.354150 | + | 0.877693i | ||||
\(671\) | 3.49654e16i | 0.383093i | ||||||||
\(672\) | 1.69740e16 | + | 3.61871e16i | 0.184318 | + | 0.392951i | ||||
\(673\) | −3.50984e15 | −0.0377744 | −0.0188872 | − | 0.999822i | \(-0.506012\pi\) | ||||
−0.0188872 | + | 0.999822i | \(0.506012\pi\) | |||||||
\(674\) | −1.31458e17 | − | 5.30435e16i | −1.40226 | − | 0.565812i | ||||
\(675\) | −9.30898e16 | + | 9.30898e16i | −0.984192 | + | 0.984192i | ||||
\(676\) | −6.27711e16 | + | 6.51191e16i | −0.657778 | + | 0.682383i | ||||
\(677\) | 8.20967e16 | − | 8.20967e16i | 0.852695 | − | 0.852695i | −0.137769 | − | 0.990464i | \(-0.543993\pi\) |
0.990464 | + | 0.137769i | \(0.0439932\pi\) | |||||||
\(678\) | −3.94603e16 | + | 1.67710e16i | −0.406240 | + | 0.172655i | ||||
\(679\) | 9.50282e15 | 0.0969692 | ||||||||
\(680\) | −1.66133e17 | − | 6.35142e16i | −1.68036 | − | 0.642417i | ||||
\(681\) | − | 6.47920e16i | − | 0.649589i | ||||||
\(682\) | −2.18306e17 | + | 9.27820e16i | −2.16950 | + | 0.922056i | ||||
\(683\) | 7.71474e16 | + | 7.71474e16i | 0.759971 | + | 0.759971i | 0.976317 | − | 0.216346i | \(-0.0694139\pi\) |
−0.216346 | + | 0.976317i | \(0.569414\pi\) | |||||||
\(684\) | −4.96240e14 | − | 2.70294e16i | −0.00484568 | − | 0.263937i | ||||
\(685\) | 1.21523e16 | + | 1.21523e16i | 0.117629 | + | 0.117629i | ||||
\(686\) | 1.00605e17 | + | 4.05942e16i | 0.965328 | + | 0.389510i | ||||
\(687\) | 1.29879e16i | 0.123538i | ||||||||
\(688\) | 2.51813e16 | − | 2.71017e16i | 0.237437 | − | 0.255544i | ||||
\(689\) | 3.85328e15 | 0.0360176 | ||||||||
\(690\) | 3.01084e16 | − | 7.46180e16i | 0.278993 | − | 0.691431i | ||||
\(691\) | 8.81364e16 | − | 8.81364e16i | 0.809631 | − | 0.809631i | −0.174947 | − | 0.984578i | \(-0.555975\pi\) |
0.984578 | + | 0.174947i | \(0.0559753\pi\) | |||||||
\(692\) | −1.47192e15 | − | 8.01729e16i | −0.0134044 | − | 0.730115i | ||||
\(693\) | −8.75415e16 | + | 8.75415e16i | −0.790342 | + | 0.790342i | ||||
\(694\) | −4.85601e16 | − | 1.14257e17i | −0.434633 | − | 1.02265i | ||||
\(695\) | −1.40554e17 | −1.24720 | ||||||||
\(696\) | 3.44590e16 | + | 7.71147e16i | 0.303143 | + | 0.678394i | ||||
\(697\) | 1.16640e17i | 1.01730i | ||||||||
\(698\) | 1.29734e16 | + | 3.05250e16i | 0.112181 | + | 0.263951i | ||||
\(699\) | −6.10112e16 | − | 6.10112e16i | −0.523054 | − | 0.523054i | ||||
\(700\) | 1.32497e17 | − | 1.37453e17i | 1.12621 | − | 1.16833i | ||||
\(701\) | −1.77056e16 | − | 1.77056e16i | −0.149212 | − | 0.149212i | 0.628554 | − | 0.777766i | \(-0.283647\pi\) |
−0.777766 | + | 0.628554i | \(0.783647\pi\) | |||||||
\(702\) | 5.10527e16 | − | 1.26525e17i | 0.426576 | − | 1.05719i | ||||
\(703\) | 5.41589e15i | 0.0448681i | ||||||||
\(704\) | −1.80064e17 | + | 9.92644e15i | −1.47908 | + | 0.0815375i | ||||
\(705\) | −3.93836e16 | −0.320760 | ||||||||
\(706\) | −1.63613e17 | − | 6.60181e16i | −1.32127 | − | 0.533132i | ||||
\(707\) | 1.25526e15 | − | 1.25526e15i | 0.0100512 | − | 0.0100512i | ||||
\(708\) | −4.10757e15 | − | 3.95946e15i | −0.0326126 | − | 0.0314367i | ||||
\(709\) | 5.33550e16 | − | 5.33550e16i | 0.420047 | − | 0.420047i | −0.465173 | − | 0.885220i | \(-0.654008\pi\) |
0.885220 | + | 0.465173i | \(0.154008\pi\) | |||||||
\(710\) | 8.48273e16 | − | 3.60523e16i | 0.662195 | − | 0.281438i | ||||
\(711\) | −1.19934e16 | −0.0928381 | ||||||||
\(712\) | −5.25802e16 | + | 2.34957e16i | −0.403592 | + | 0.180347i | ||||
\(713\) | 2.08009e17i | 1.58323i | ||||||||
\(714\) | −5.79000e16 | + | 2.46080e16i | −0.437008 | + | 0.185732i | ||||
\(715\) | 3.21176e17 | + | 3.21176e17i | 2.40385 | + | 2.40385i | ||||
\(716\) | −6.75827e16 | + | 1.24077e15i | −0.501600 | + | 0.00920900i | ||||
\(717\) | 3.87975e16 | + | 3.87975e16i | 0.285555 | + | 0.285555i | ||||
\(718\) | 2.34423e17 | + | 9.45900e16i | 1.71102 | + | 0.690396i | ||||
\(719\) | 3.77094e16i | 0.272946i | 0.990644 | + | 0.136473i | \(0.0435767\pi\) | ||||
−0.990644 | + | 0.136473i | \(0.956423\pi\) | |||||||
\(720\) | 1.23544e17 | − | 1.32965e17i | 0.886799 | − | 0.954429i | ||||
\(721\) | −1.74408e16 | −0.124152 | ||||||||
\(722\) | 4.71203e16 | − | 1.16779e17i | 0.332648 | − | 0.824404i | ||||
\(723\) | −2.87793e16 | + | 2.87793e16i | −0.201489 | + | 0.201489i | ||||
\(724\) | 5.27158e16 | − | 9.67822e14i | 0.366024 | − | 0.00671992i | ||||
\(725\) | 2.85273e17 | − | 2.85273e17i | 1.96441 | − | 1.96441i | ||||
\(726\) | 3.11750e16 | + | 7.33514e16i | 0.212905 | + | 0.500943i | ||||
\(727\) | 1.64276e17 | 1.11267 | 0.556337 | − | 0.830957i | \(-0.312206\pi\) | ||||
0.556337 | + | 0.830957i | \(0.312206\pi\) | |||||||
\(728\) | −7.06557e16 | + | 1.84813e17i | −0.474634 | + | 1.24149i | ||||
\(729\) | 5.92808e15i | 0.0394956i | ||||||||
\(730\) | 1.22205e16 | + | 2.87536e16i | 0.0807518 | + | 0.190001i | ||||
\(731\) | 4.11739e16 | + | 4.11739e16i | 0.269847 | + | 0.269847i | ||||
\(732\) | −1.30545e16 | − | 1.25838e16i | −0.0848581 | − | 0.0817984i | ||||
\(733\) | 5.69705e16 | + | 5.69705e16i | 0.367304 | + | 0.367304i | 0.866493 | − | 0.499189i | \(-0.166369\pi\) |
−0.499189 | + | 0.866493i | \(0.666369\pi\) | |||||||
\(734\) | −5.32527e16 | + | 1.31977e17i | −0.340538 | + | 0.843959i | ||||
\(735\) | 1.09927e16i | 0.0697238i | ||||||||
\(736\) | −5.37514e16 | + | 1.48726e17i | −0.338160 | + | 0.935662i | ||||
\(737\) | −1.36632e17 | −0.852603 | ||||||||
\(738\) | −1.10381e17 | − | 4.45387e16i | −0.683212 | − | 0.275676i | ||||
\(739\) | −3.03904e16 | + | 3.03904e16i | −0.186582 | + | 0.186582i | −0.794217 | − | 0.607635i | \(-0.792118\pi\) |
0.607635 | + | 0.794217i | \(0.292118\pi\) | |||||||
\(740\) | −2.52351e16 | + | 2.61790e16i | −0.153679 | + | 0.159427i | ||||
\(741\) | −2.48074e16 | + | 2.48074e16i | −0.149855 | + | 0.149855i | ||||
\(742\) | 3.77489e15 | − | 1.60436e15i | 0.0226194 | − | 0.00961342i | ||||
\(743\) | 1.16869e17 | 0.694650 | 0.347325 | − | 0.937745i | \(-0.387090\pi\) | ||||
0.347325 | + | 0.937745i | \(0.387090\pi\) | |||||||
\(744\) | 4.39262e16 | − | 1.14897e17i | 0.258992 | − | 0.677441i | ||||
\(745\) | − | 2.15278e17i | − | 1.25910i | ||||||
\(746\) | 1.51227e17 | − | 6.42728e16i | 0.877398 | − | 0.372901i | ||||
\(747\) | −1.62476e17 | − | 1.62476e17i | −0.935116 | − | 0.935116i | ||||
\(748\) | −5.21034e15 | − | 2.83799e17i | −0.0297479 | − | 1.62032i | ||||
\(749\) | 5.49047e16 | + | 5.49047e16i | 0.310970 | + | 0.310970i | ||||
\(750\) | 8.70738e16 | + | 3.51343e16i | 0.489237 | + | 0.197408i | ||||
\(751\) | − | 1.63669e17i | − | 0.912277i | −0.889909 | − | 0.456139i | \(-0.849232\pi\) | ||
0.889909 | − | 0.456139i | \(-0.150768\pi\) | |||||||
\(752\) | 7.73513e16 | − | 2.84118e15i | 0.427721 | − | 0.0157106i | ||||
\(753\) | 1.01466e17 | 0.556611 | ||||||||
\(754\) | −1.56450e17 | + | 3.87733e17i | −0.851430 | + | 2.11011i | ||||
\(755\) | −3.36171e17 | + | 3.36171e17i | −1.81501 | + | 1.81501i | ||||
\(756\) | −2.66589e15 | − | 1.45207e17i | −0.0142795 | − | 0.777780i | ||||
\(757\) | −2.69853e15 | + | 2.69853e15i | −0.0143401 | + | 0.0143401i | −0.714240 | − | 0.699900i | \(-0.753228\pi\) |
0.699900 | + | 0.714240i | \(0.253228\pi\) | |||||||
\(758\) | −3.56758e16 | − | 8.39414e16i | −0.188087 | − | 0.442549i | ||||
\(759\) | 1.28411e17 | 0.671666 | ||||||||
\(760\) | −9.63911e16 | + | 4.30728e16i | −0.500214 | + | 0.223523i | ||||
\(761\) | − | 3.52484e16i | − | 0.181481i | −0.995875 | − | 0.0907406i | \(-0.971077\pi\) | ||
0.995875 | − | 0.0907406i | \(-0.0289234\pi\) | |||||||
\(762\) | −2.84455e16 | − | 6.69293e16i | −0.145306 | − | 0.341890i | ||||
\(763\) | −1.49416e17 | − | 1.49416e17i | −0.757269 | − | 0.757269i | ||||
\(764\) | −3.58395e16 | + | 3.71800e16i | −0.180219 | + | 0.186960i | ||||
\(765\) | 2.02006e17 | + | 2.02006e17i | 1.00785 | + | 1.00785i | ||||
\(766\) | −1.42662e16 | + | 3.53562e16i | −0.0706215 | + | 0.175022i | ||||
\(767\) | − | 2.82416e16i | − | 0.138713i | ||||||
\(768\) | 6.10975e16 | − | 7.08001e16i | 0.297753 | − | 0.345038i | ||||
\(769\) | 3.56080e17 | 1.72182 | 0.860912 | − | 0.508753i | \(-0.169893\pi\) | ||||
0.860912 | + | 0.508753i | \(0.169893\pi\) | |||||||
\(770\) | 4.48367e17 | + | 1.80917e17i | 2.15124 | + | 0.868028i | ||||
\(771\) | 2.39711e16 | − | 2.39711e16i | 0.114120 | − | 0.114120i | ||||
\(772\) | −1.46420e17 | − | 1.41140e17i | −0.691664 | − | 0.666725i | ||||
\(773\) | 1.00963e16 | − | 1.00963e16i | 0.0473243 | − | 0.0473243i | −0.683049 | − | 0.730373i | \(-0.739346\pi\) |
0.730373 | + | 0.683049i | \(0.239346\pi\) | |||||||
\(774\) | −5.46867e16 | + | 2.32423e16i | −0.254352 | + | 0.108102i | ||||
\(775\) | −5.87540e17 | −2.71161 | ||||||||
\(776\) | −9.07074e15 | − | 2.02991e16i | −0.0415406 | − | 0.0929622i | ||||
\(777\) | 1.28617e16i | 0.0584483i | ||||||||
\(778\) | −1.27576e17 | + | 5.42211e16i | −0.575298 | + | 0.244507i | ||||
\(779\) | 4.89579e16 | + | 4.89579e16i | 0.219077 | + | 0.219077i | ||||
\(780\) | −2.35501e17 | + | 4.32362e15i | −1.04574 | + | 0.0191991i | ||||
\(781\) | 1.04012e17 | + | 1.04012e17i | 0.458329 | + | 0.458329i | ||||
\(782\) | −2.30828e17 | − | 9.31391e16i | −1.00936 | − | 0.407278i | ||||
\(783\) | − | 3.06898e17i | − | 1.33175i | ||||||
\(784\) | −7.93030e14 | − | 2.15903e16i | −0.00341502 | − | 0.0929741i | ||||
\(785\) | −7.62724e17 | −3.25949 | ||||||||
\(786\) | −7.24086e16 | + | 1.79451e17i | −0.307082 | + | 0.761046i | ||||
\(787\) | −1.91634e17 | + | 1.91634e17i | −0.806536 | + | 0.806536i | −0.984108 | − | 0.177572i | \(-0.943176\pi\) |
0.177572 | + | 0.984108i | \(0.443176\pi\) | |||||||
\(788\) | 4.22339e17 | − | 7.75384e15i | 1.76402 | − | 0.0323862i | ||||
\(789\) | 9.38012e16 | − | 9.38012e16i | 0.388818 | − | 0.388818i | ||||
\(790\) | 1.83208e16 | + | 4.31068e16i | 0.0753670 | + | 0.177331i | ||||
\(791\) | −2.25926e17 | −0.922376 | ||||||||
\(792\) | 2.70560e17 | + | 1.03438e17i | 1.09626 | + | 0.419109i | ||||
\(793\) | − | 8.97563e16i | − | 0.360932i | ||||||
\(794\) | −6.91533e16 | − | 1.62711e17i | −0.275988 | − | 0.649371i | ||||
\(795\) | 3.45269e15 | + | 3.45269e15i | 0.0136759 | + | 0.0136759i | ||||
\(796\) | −1.17450e17 | − | 1.13215e17i | −0.461714 | − | 0.445066i | ||||
\(797\) | 3.74988e16 | + | 3.74988e16i | 0.146308 | + | 0.146308i | 0.776466 | − | 0.630159i | \(-0.217010\pi\) |
−0.630159 | + | 0.776466i | \(0.717010\pi\) | |||||||
\(798\) | −1.39738e16 | + | 3.46315e16i | −0.0541126 | + | 0.134108i | ||||
\(799\) | 1.21831e17i | 0.468251i | ||||||||
\(800\) | −4.20089e17 | − | 1.51826e17i | −1.60251 | − | 0.579169i | ||||
\(801\) | 9.25029e16 | 0.350236 | ||||||||
\(802\) | 2.57960e17 | + | 1.04087e17i | 0.969406 | + | 0.391156i | ||||
\(803\) | −3.52566e16 | + | 3.52566e16i | −0.131506 | + | 0.131506i | ||||
\(804\) | 4.91727e16 | − | 5.10121e16i | 0.182049 | − | 0.188859i | ||||
\(805\) | 2.99800e17 | − | 2.99800e17i | 1.10168 | − | 1.10168i | ||||
\(806\) | 5.60392e17 | − | 2.38171e17i | 2.04401 | − | 0.868719i | ||||
\(807\) | 2.01150e17 | 0.728247 | ||||||||
\(808\) | −3.87958e15 | − | 1.48320e15i | −0.0139417 | − | 0.00533004i | ||||
\(809\) | − | 5.29536e17i | − | 1.88888i | −0.328682 | − | 0.944441i | \(-0.606604\pi\) | ||
0.328682 | − | 0.944441i | \(-0.393396\pi\) | |||||||
\(810\) | −1.79524e17 | + | 7.62991e16i | −0.635641 | + | 0.270153i | ||||
\(811\) | −2.07628e17 | − | 2.07628e17i | −0.729726 | − | 0.729726i | 0.240839 | − | 0.970565i | \(-0.422577\pi\) |
−0.970565 | + | 0.240839i | \(0.922577\pi\) | |||||||
\(812\) | 8.16960e15 | + | 4.44985e17i | 0.0285013 | + | 1.55242i | ||||
\(813\) | −1.32722e17 | − | 1.32722e17i | −0.459621 | − | 0.459621i | ||||
\(814\) | −5.38135e16 | − | 2.17138e16i | −0.184989 | − | 0.0746430i | ||||
\(815\) | 7.29820e16i | 0.249041i | ||||||||
\(816\) | 1.07833e17 | + | 1.00192e17i | 0.365267 | + | 0.339384i | ||||
\(817\) | 3.45643e16 | 0.116224 | ||||||||
\(818\) | 3.56781e16 | − | 8.84214e16i | 0.119092 | − | 0.295146i | ||||
\(819\) | 2.24719e17 | − | 2.24719e17i | 0.744624 | − | 0.744624i | ||||
\(820\) | 8.53277e15 | + | 4.64767e17i | 0.0280677 | + | 1.52880i | ||||
\(821\) | −1.15543e17 | + | 1.15543e17i | −0.377297 | + | 0.377297i | −0.870126 | − | 0.492829i | \(-0.835963\pi\) |
0.492829 | + | 0.870126i | \(0.335963\pi\) | |||||||
\(822\) | −5.56324e15 | − | 1.30897e16i | −0.0180342 | − | 0.0424326i | ||||
\(823\) | −3.12933e16 | −0.100705 | −0.0503527 | − | 0.998732i | \(-0.516035\pi\) | ||||
−0.0503527 | + | 0.998732i | \(0.516035\pi\) | |||||||
\(824\) | 1.66478e16 | + | 3.72555e16i | 0.0531855 | + | 0.119022i | ||||
\(825\) | 3.62710e17i | 1.15036i | ||||||||
\(826\) | −1.17588e16 | − | 2.76671e16i | −0.0370238 | − | 0.0871131i | ||||
\(827\) | 3.66759e17 | + | 3.66759e17i | 1.14643 | + | 1.14643i | 0.987250 | + | 0.159180i | \(0.0508849\pi\) |
0.159180 | + | 0.987250i | \(0.449115\pi\) | |||||||
\(828\) | 1.76282e17 | − | 1.82876e17i | 0.547050 | − | 0.567512i | ||||
\(829\) | −3.80727e17 | − | 3.80727e17i | −1.17297 | − | 1.17297i | −0.981498 | − | 0.191472i | \(-0.938674\pi\) |
−0.191472 | − | 0.981498i | \(-0.561326\pi\) | |||||||
\(830\) | −3.35779e17 | + | 8.32164e17i | −1.02703 | + | 2.54531i | ||||
\(831\) | − | 1.76365e17i | − | 0.535557i | ||||||
\(832\) | 4.62224e17 | − | 2.54812e16i | 1.39352 | − | 0.0768210i | ||||
\(833\) | 3.40056e16 | 0.101784 | ||||||||
\(834\) | 1.07871e17 | + | 4.35259e16i | 0.320558 | + | 0.129345i | ||||
\(835\) | 4.33893e17 | − | 4.33893e17i | 1.28016 | − | 1.28016i | ||||
\(836\) | −1.21308e17 | − | 1.16934e17i | −0.355345 | − | 0.342533i | ||||
\(837\) | −3.16039e17 | + | 3.16039e17i | −0.919153 | + | 0.919153i | ||||
\(838\) | 3.78286e17 | − | 1.60775e17i | 1.09234 | − | 0.464252i | ||||
\(839\) | 3.71726e17 | 1.06574 | 0.532869 | − | 0.846198i | \(-0.321114\pi\) | ||||
0.532869 | + | 0.846198i | \(0.321114\pi\) | |||||||
\(840\) | −2.28910e17 | + | 1.02289e17i | −0.651612 | + | 0.291176i | ||||
\(841\) | 5.86669e17i | 1.65812i | ||||||||
\(842\) | −2.52570e17 | + | 1.07344e17i | −0.708776 | + | 0.301236i | ||||
\(843\) | −1.28568e17 | − | 1.28568e17i | −0.358236 | − | 0.358236i | ||||
\(844\) | −1.30181e17 | + | 2.39003e15i | −0.360159 | + | 0.00661225i | ||||
\(845\) | −4.01181e17 | − | 4.01181e17i | −1.10205 | − | 1.10205i | ||||
\(846\) | −1.15294e17 | − | 4.65211e16i | −0.314473 | − | 0.126890i | ||||
\(847\) | 4.19967e17i | 1.13740i | ||||||||
\(848\) | −7.03034e15 | − | 6.53218e15i | −0.0189061 | − | 0.0175664i | ||||
\(849\) | 2.69041e17 | 0.718411 | ||||||||
\(850\) | 2.63080e17 | − | 6.51993e17i | 0.697548 | − | 1.72874i | ||||
\(851\) | −3.59824e16 | + | 3.59824e16i | −0.0947354 | + | 0.0947354i | ||||
\(852\) | −7.62665e16 | + | 1.40020e15i | −0.199387 | + | 0.00366059i | ||||
\(853\) | −4.11974e17 | + | 4.11974e17i | −1.06949 | + | 1.06949i | −0.0720901 | + | 0.997398i | \(0.522967\pi\) |
−0.997398 | + | 0.0720901i | \(0.977033\pi\) | |||||||
\(854\) | −3.73711e16 | − | 8.79303e16i | −0.0963361 | − | 0.226669i | ||||
\(855\) | 1.69578e17 | 0.434084 | ||||||||
\(856\) | 6.48744e16 | − | 1.69691e17i | 0.164904 | − | 0.431336i | ||||
\(857\) | 1.54273e16i | 0.0389407i | 0.999810 | + | 0.0194703i | \(0.00619800\pi\) | ||||
−0.999810 | + | 0.0194703i | \(0.993802\pi\) | |||||||
\(858\) | −1.47032e17 | − | 3.45951e17i | −0.368543 | − | 0.867143i | ||||
\(859\) | −1.51797e17 | − | 1.51797e17i | −0.377837 | − | 0.377837i | 0.492484 | − | 0.870321i | \(-0.336089\pi\) |
−0.870321 | + | 0.492484i | \(0.836089\pi\) | |||||||
\(860\) | 1.67075e17 | + | 1.61051e17i | 0.412972 | + | 0.398082i | ||||
\(861\) | 1.16265e17 | + | 1.16265e17i | 0.285385 | + | 0.285385i | ||||
\(862\) | 1.46816e17 | − | 3.63855e17i | 0.357873 | − | 0.886919i | ||||
\(863\) | 5.49707e17i | 1.33066i | 0.746550 | + | 0.665330i | \(0.231709\pi\) | ||||
−0.746550 | + | 0.665330i | \(0.768291\pi\) | |||||||
\(864\) | −3.07634e17 | + | 1.44299e17i | −0.739524 | + | 0.346882i | ||||
\(865\) | 5.02992e17 | 1.20078 | ||||||||
\(866\) | −1.67528e17 | − | 6.75977e16i | −0.397173 | − | 0.160260i | ||||
\(867\) | −2.69480e16 | + | 2.69480e16i | −0.0634470 | + | 0.0634470i | ||||
\(868\) | 4.49827e17 | − | 4.66652e17i | 1.05178 | − | 1.09113i | ||||
\(869\) | −5.28560e16 | + | 5.28560e16i | −0.122737 | + | 0.122737i | ||||
\(870\) | −4.87610e17 | + | 2.07238e17i | −1.12449 | + | 0.477919i | ||||
\(871\) | 3.50734e17 | 0.803284 | ||||||||
\(872\) | −1.76547e17 | + | 4.61792e17i | −0.401571 | + | 1.05038i | ||||
\(873\) | 3.57116e16i | 0.0806723i | ||||||||
\(874\) | −1.35980e17 | + | 5.77928e16i | −0.305076 | + | 0.129660i | ||||
\(875\) | 3.49845e17 | + | 3.49845e17i | 0.779521 | + | 0.779521i | ||||
\(876\) | −4.74619e14 | − | 2.58517e16i | −0.00105032 | − | 0.0572091i | ||||
\(877\) | 2.89920e17 | + | 2.89920e17i | 0.637207 | + | 0.637207i | 0.949866 | − | 0.312659i | \(-0.101220\pi\) |
−0.312659 | + | 0.949866i | \(0.601220\pi\) | |||||||
\(878\) | 2.13377e17 | + | 8.60976e16i | 0.465779 | + | 0.187942i | ||||
\(879\) | 7.73459e15i | 0.0167689i | ||||||||
\(880\) | −4.15226e16 | − | 1.13045e18i | −0.0894105 | − | 2.43420i | ||||
\(881\) | 6.85444e17 | 1.46594 | 0.732970 | − | 0.680261i | \(-0.238133\pi\) | ||||
0.732970 | + | 0.680261i | \(0.238133\pi\) | |||||||
\(882\) | −1.29850e16 | + | 3.21808e16i | −0.0275822 | + | 0.0683573i | ||||
\(883\) | −6.52321e16 | + | 6.52321e16i | −0.137625 | + | 0.137625i | −0.772563 | − | 0.634938i | \(-0.781026\pi\) |
0.634938 | + | 0.772563i | \(0.281026\pi\) | |||||||
\(884\) | 1.33750e16 | + | 7.28513e17i | 0.0280271 | + | 1.52659i | ||||
\(885\) | 2.53056e16 | − | 2.53056e16i | 0.0526693 | − | 0.0526693i | ||||
\(886\) | −2.46094e17 | − | 5.79034e17i | −0.508744 | − | 1.19702i | ||||
\(887\) | −6.77810e17 | −1.39177 | −0.695883 | − | 0.718155i | \(-0.744987\pi\) | ||||
−0.695883 | + | 0.718155i | \(0.744987\pi\) | |||||||
\(888\) | 2.74740e16 | − | 1.22769e16i | 0.0560330 | − | 0.0250386i | ||||
\(889\) | − | 3.83197e17i | − | 0.776269i | ||||||
\(890\) | −1.41304e17 | − | 3.32474e17i | −0.284325 | − | 0.668987i | ||||
\(891\) | −2.20125e17 | − | 2.20125e17i | −0.439950 | − | 0.439950i | ||||
\(892\) | −3.39345e17 | + | 3.52038e17i | −0.673678 | + | 0.698877i | ||||
\(893\) | 5.11370e16 | + | 5.11370e16i | 0.100839 | + | 0.100839i | ||||
\(894\) | −6.66656e16 | + | 1.65218e17i | −0.130580 | + | 0.323618i | ||||
\(895\) | − | 4.24003e17i | − | 0.824956i | ||||||
\(896\) | 4.42212e17 | − | 2.17416e17i | 0.854638 | − | 0.420187i | ||||
\(897\) | −3.29632e17 | −0.632813 | ||||||||
\(898\) | 4.43571e17 | + | 1.78981e17i | 0.845872 | + | 0.341310i | ||||
\(899\) | 9.68497e17 | − | 9.68497e17i | 1.83460 | − | 1.83460i | ||||
\(900\) | 5.16550e17 | + | 4.97925e17i | 0.971980 | + | 0.936934i | ||||
\(901\) | 1.06808e16 | − | 1.06808e16i | 0.0199643 | − | 0.0199643i | ||||
\(902\) | −6.82742e17 | + | 2.90171e17i | −1.26770 | + | 0.538784i | ||||
\(903\) | 8.20834e16 | 0.151401 | ||||||||
\(904\) | 2.15654e17 | + | 4.82604e17i | 0.395136 | + | 0.884261i | ||||
\(905\) | 3.30730e17i | 0.601981i | ||||||||
\(906\) | 3.62103e17 | − | 1.53897e17i | 0.654731 | − | 0.278266i | ||||
\(907\) | 1.14829e17 | + | 1.14829e17i | 0.206257 | + | 0.206257i | 0.802674 | − | 0.596418i | \(-0.203410\pi\) |
−0.596418 | + | 0.802674i | \(0.703410\pi\) | |||||||
\(908\) | −7.98645e17 | + | 1.46625e16i | −1.42508 | + | 0.0261634i | ||||
\(909\) | 4.71729e15 | + | 4.71729e15i | 0.00836198 | + | 0.00836198i | ||||
\(910\) | −1.15096e18 | − | 4.64413e17i | −2.02680 | − | 0.817817i | ||||
\(911\) | 4.69446e17i | 0.821251i | 0.911804 | + | 0.410625i | \(0.134690\pi\) | ||||
−0.911804 | + | 0.410625i | \(0.865310\pi\) | |||||||
\(912\) | 8.73154e16 | − | 3.20717e15i | 0.151748 | − | 0.00557382i | ||||
\(913\) | −1.43209e18 | −2.47255 | ||||||||
\(914\) | 7.20090e16 | − | 1.78461e17i | 0.123512 | − | 0.306101i | ||||
\(915\) | 8.04252e16 | − | 8.04252e16i | 0.137046 | − | 0.137046i | ||||
\(916\) | 1.60093e17 | − | 2.93919e15i | 0.271019 | − | 0.00497571i | ||||
\(917\) | −7.21000e17 | + | 7.21000e17i | −1.21260 | + | 1.21260i | ||||
\(918\) | −2.09198e17 | − | 4.92220e17i | −0.349543 | − | 0.822438i | ||||
\(919\) | −4.70950e17 | −0.781776 | −0.390888 | − | 0.920438i | \(-0.627832\pi\) | ||||
−0.390888 | + | 0.920438i | \(0.627832\pi\) | |||||||
\(920\) | −9.26577e17 | − | 3.54239e17i | −1.52811 | − | 0.584210i | ||||
\(921\) | − | 7.70328e16i | − | 0.126217i | ||||||
\(922\) | 1.58001e17 | + | 3.71761e17i | 0.257203 | + | 0.605171i | ||||
\(923\) | −2.66999e17 | − | 2.66999e17i | −0.431817 | − | 0.431817i | ||||
\(924\) | −2.88082e17 | − | 2.77694e17i | −0.462896 | − | 0.446206i | ||||
\(925\) | −1.01635e17 | − | 1.01635e17i | −0.162254 | − | 0.162254i | ||||
\(926\) | 3.07236e17 | − | 7.61426e17i | 0.487311 | − | 1.20771i | ||||
\(927\) | − | 6.55426e16i | − | 0.103287i | ||||||
\(928\) | 9.42741e17 | − | 4.42204e17i | 1.47606 | − | 0.692364i | ||||
\(929\) | 7.78802e17 | 1.21153 | 0.605763 | − | 0.795645i | \(-0.292868\pi\) | ||||
0.605763 | + | 0.795645i | \(0.292868\pi\) | |||||||
\(930\) | 7.15545e17 | + | 2.88723e17i | 1.10596 | + | 0.446255i | ||||
\(931\) | 1.42733e16 | − | 1.42733e16i | 0.0219193 | − | 0.0219193i | ||||
\(932\) | −7.38236e17 | + | 7.65850e17i | −1.12642 | + | 1.16855i | ||||
\(933\) | −2.88025e17 | + | 2.88025e17i | −0.436658 | + | 0.436658i | ||||
\(934\) | −3.78776e15 | + | 1.60983e15i | −0.00570560 | + | 0.00242493i | ||||
\(935\) | 1.78051e18 | 2.66486 | ||||||||
\(936\) | −6.94528e17 | − | 2.65524e17i | −1.03284 | − | 0.394865i | ||||
\(937\) | − | 2.66635e16i | − | 0.0393985i | −0.999806 | − | 0.0196992i | \(-0.993729\pi\) | ||
0.999806 | − | 0.0196992i | \(-0.00627087\pi\) | |||||||
\(938\) | 3.43599e17 | − | 1.46032e17i | 0.504469 | − | 0.214404i | ||||
\(939\) | −1.64650e17 | − | 1.64650e17i | −0.240197 | − | 0.240197i | ||||
\(940\) | 8.91256e15 | + | 4.85453e17i | 0.0129192 | + | 0.703689i | ||||
\(941\) | −4.96768e17 | − | 4.96768e17i | −0.715511 | − | 0.715511i | 0.252172 | − | 0.967682i | \(-0.418855\pi\) |
−0.967682 | + | 0.252172i | \(0.918855\pi\) | |||||||
\(942\) | 5.85365e17 | + | 2.36195e17i | 0.837763 | + | 0.338038i | ||||
\(943\) | 6.50537e17i | 0.925128i | ||||||||
\(944\) | −4.78760e16 | + | 5.15272e16i | −0.0676528 | + | 0.0728122i | ||||
\(945\) | 9.11006e17 | 1.27918 | ||||||||
\(946\) | −1.38578e17 | + | 3.43439e17i | −0.193351 | + | 0.479184i | ||||
\(947\) | −9.61826e17 | + | 9.61826e17i | −1.33351 | + | 1.33351i | −0.431305 | + | 0.902206i | \(0.641947\pi\) |
−0.902206 | + | 0.431305i | \(0.858053\pi\) | |||||||
\(948\) | −7.11540e14 | − | 3.87565e16i | −0.000980278 | − | 0.0533942i | ||||
\(949\) | 9.05036e16 | − | 9.05036e16i | 0.123899 | − | 0.123899i | ||||
\(950\) | −1.63241e17 | − | 3.84089e17i | −0.222069 | − | 0.522504i | ||||
\(951\) | −8.93847e15 | −0.0120831 | ||||||||
\(952\) | 3.16428e17 | + | 7.08124e17i | 0.425063 | + | 0.951234i | ||||
\(953\) | − | 1.09045e18i | − | 1.45563i | −0.685776 | − | 0.727813i | \(-0.740537\pi\) | ||
0.685776 | − | 0.727813i | \(-0.259463\pi\) | |||||||
\(954\) | 6.02919e15 | + | 1.41860e16i | 0.00799776 | + | 0.0188179i | ||||
\(955\) | −2.29056e17 | − | 2.29056e17i | −0.301941 | − | 0.301941i | ||||
\(956\) | 4.69450e17 | − | 4.87010e17i | 0.614953 | − | 0.637956i | ||||
\(957\) | −5.97889e17 | − | 5.97889e17i | −0.778303 | − | 0.778303i | ||||
\(958\) | −2.56125e17 | + | 6.34758e17i | −0.331329 | + | 0.821136i | ||||
\(959\) | − | 7.49440e16i | − | 0.0963441i | ||||||
\(960\) | 4.37004e17 | + | 3.91339e17i | 0.558287 | + | 0.499949i | ||||
\(961\) | −1.20703e18 | −1.53242 | ||||||||
\(962\) | 1.38139e17 | + | 5.57393e16i | 0.174288 | + | 0.0703252i | ||||
\(963\) | −2.06332e17 | + | 2.06332e17i | −0.258707 | + | 0.258707i | ||||
\(964\) | 3.61255e17 | + | 3.48230e17i | 0.450145 | + | 0.433914i | ||||
\(965\) | 9.02052e17 | − | 9.02052e17i | 1.11704 | − | 1.11704i | ||||
\(966\) | −3.22927e17 | + | 1.37246e17i | −0.397412 | + | 0.168903i | ||||
\(967\) | 1.03468e17 | 0.126545 | 0.0632727 | − | 0.997996i | \(-0.479846\pi\) | ||||
0.0632727 | + | 0.997996i | \(0.479846\pi\) | |||||||
\(968\) | 8.97096e17 | − | 4.00871e17i | 1.09040 | − | 0.487251i | ||||
\(969\) | 1.37525e17i | 0.166127i | ||||||||
\(970\) | 1.28355e17 | − | 5.45519e16i | 0.154093 | − | 0.0654906i | ||||
\(971\) | −7.06931e17 | − | 7.06931e17i | −0.843455 | − | 0.843455i | 0.145852 | − | 0.989306i | \(-0.453408\pi\) |
−0.989306 | + | 0.145852i | \(0.953408\pi\) | |||||||
\(972\) | 8.50153e17 | − | 1.56082e16i | 1.00809 | − | 0.0185078i | ||||
\(973\) | 4.33403e17 | + | 4.33403e17i | 0.510758 | + | 0.510758i | ||||
\(974\) | 5.61649e17 | + | 2.26626e17i | 0.657826 | + | 0.265433i | ||||
\(975\) | − | 9.31076e17i | − | 1.08382i | ||||||
\(976\) | −1.52157e17 | + | 1.63761e17i | −0.176033 | + | 0.189458i | ||||
\(977\) | 1.36952e18 | 1.57471 | 0.787357 | − | 0.616498i | \(-0.211449\pi\) | ||||
0.787357 | + | 0.616498i | \(0.211449\pi\) | |||||||
\(978\) | 2.26006e16 | − | 5.60112e16i | 0.0258277 | − | 0.0640091i | ||||
\(979\) | 4.07667e17 | − | 4.07667e17i | 0.463031 | − | 0.463031i | ||||
\(980\) | 1.35500e17 | − | 2.48767e15i | 0.152961 | − | 0.00280826i | ||||
\(981\) | 5.61506e17 | − | 5.61506e17i | 0.630000 | − | 0.630000i | ||||
\(982\) | 5.56248e17 | + | 1.30879e18i | 0.620297 | + | 1.45949i | ||||
\(983\) | −1.33679e18 | −1.48164 | −0.740818 | − | 0.671705i | \(-0.765562\pi\) | ||||
−0.740818 | + | 0.671705i | \(0.765562\pi\) | |||||||
\(984\) | 1.37377e17 | − | 3.59335e17i | 0.151336 | − | 0.395848i | ||||
\(985\) | 2.64969e18i | 2.90120i | ||||||||
\(986\) | 6.41083e17 | + | 1.50840e18i | 0.697675 | + | 1.64156i | ||||
\(987\) | 1.21440e17 | + | 1.21440e17i | 0.131359 | + | 0.131359i | ||||
\(988\) | 3.11397e17 | + | 3.00169e17i | 0.334790 | + | 0.322719i | ||||
\(989\) | 2.29640e17 | + | 2.29640e17i | 0.245397 | + | 0.245397i | ||||
\(990\) | −6.79885e17 | + | 1.68497e18i | −0.722145 | + | 1.78970i | ||||
\(991\) | 1.50296e18i | 1.58674i | 0.608741 | + | 0.793369i | \(0.291675\pi\) | ||||
−0.608741 | + | 0.793369i | \(0.708325\pi\) | |||||||
\(992\) | −1.42620e18 | − | 5.15446e17i | −1.49661 | − | 0.540895i | ||||
\(993\) | 3.28368e17 | 0.342503 | ||||||||
\(994\) | −3.72736e17 | − | 1.50399e17i | −0.386441 | − | 0.155929i | ||||
\(995\) | 7.23575e17 | − | 7.23575e17i | 0.745668 | − | 0.745668i | ||||
\(996\) | 5.15397e17 | − | 5.34676e17i | 0.527942 | − | 0.547690i | ||||
\(997\) | −4.41546e17 | + | 4.41546e17i | −0.449578 | + | 0.449578i | −0.895214 | − | 0.445636i | \(-0.852977\pi\) |
0.445636 | + | 0.895214i | \(0.352977\pi\) | |||||||
\(998\) | 1.76037e18 | − | 7.48170e17i | 1.78164 | − | 0.757211i | ||||
\(999\) | −1.09340e17 | −0.109998 |
(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 | 16.13.f.a.3.3 | ✓ | 46 | |
4.3 | odd | 2 | 64.13.f.a.47.14 | 46 | |||
8.3 | odd | 2 | 128.13.f.a.95.10 | 46 | |||
8.5 | even | 2 | 128.13.f.b.95.14 | 46 | |||
16.3 | odd | 4 | 128.13.f.b.31.14 | 46 | |||
16.5 | even | 4 | 64.13.f.a.15.14 | 46 | |||
16.11 | odd | 4 | inner | 16.13.f.a.11.3 | yes | 46 | |
16.13 | even | 4 | 128.13.f.a.31.10 | 46 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.13.f.a.3.3 | ✓ | 46 | 1.1 | even | 1 | trivial | |
16.13.f.a.11.3 | yes | 46 | 16.11 | odd | 4 | inner | |
64.13.f.a.15.14 | 46 | 16.5 | even | 4 | |||
64.13.f.a.47.14 | 46 | 4.3 | odd | 2 | |||
128.13.f.a.31.10 | 46 | 16.13 | even | 4 | |||
128.13.f.a.95.10 | 46 | 8.3 | odd | 2 | |||
128.13.f.b.31.14 | 46 | 16.3 | odd | 4 | |||
128.13.f.b.95.14 | 46 | 8.5 | even | 2 |