Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,28,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 28, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 28);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 28 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(73.8968919741\) |
Analytic rank: | \(0\) |
Dimension: | \(106\) |
Relative dimension: | \(53\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 13.18 | ||
Character | \(\chi\) | \(=\) | 16.13 |
Dual form | 16.28.e.a.5.18 |
$q$-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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −5041.21 | + | 10430.9i | −0.435140 | + | 0.900363i | ||||
\(3\) | −329571. | − | 329571.i | −0.119347 | − | 0.119347i | 0.644911 | − | 0.764258i | \(-0.276894\pi\) |
−0.764258 | + | 0.644911i | \(0.776894\pi\) | |||||||
\(4\) | −8.33902e7 | − | 1.05169e8i | −0.621306 | − | 0.783568i | ||||
\(5\) | −2.69387e8 | + | 2.69387e8i | −0.0986920 | + | 0.0986920i | −0.754729 | − | 0.656037i | \(-0.772232\pi\) |
0.656037 | + | 0.754729i | \(0.272232\pi\) | |||||||
\(6\) | 5.09916e9 | − | 1.77629e9i | 0.159388 | − | 0.0555229i | ||||
\(7\) | 2.71695e11i | 1.05988i | 0.848035 | + | 0.529941i | \(0.177786\pi\) | ||||
−0.848035 | + | 0.529941i | \(0.822214\pi\) | |||||||
\(8\) | 1.51739e12 | − | 3.39659e11i | 0.975851 | − | 0.218438i | ||||
\(9\) | − | 7.40836e12i | − | 0.971513i | ||||||
\(10\) | −1.45192e12 | − | 4.16799e12i | −0.0459137 | − | 0.131803i | ||||
\(11\) | 2.66489e13 | − | 2.66489e13i | 0.232744 | − | 0.232744i | −0.581093 | − | 0.813837i | \(-0.697375\pi\) |
0.813837 | + | 0.581093i | \(0.197375\pi\) | |||||||
\(12\) | −7.17757e12 | + | 6.21435e13i | −0.0193656 | + | 0.167667i | ||||
\(13\) | −4.16447e14 | − | 4.16447e14i | −0.381351 | − | 0.381351i | 0.490238 | − | 0.871589i | \(-0.336910\pi\) |
−0.871589 | + | 0.490238i | \(0.836910\pi\) | |||||||
\(14\) | −2.83402e15 | − | 1.36967e15i | −0.954278 | − | 0.461197i | ||||
\(15\) | 1.77564e14 | 0.0235572 | ||||||||
\(16\) | −4.10654e15 | + | 1.75401e16i | −0.227959 | + | 0.973671i | ||||
\(17\) | 2.48650e16 | 0.608875 | 0.304437 | − | 0.952532i | \(-0.401532\pi\) | ||||
0.304437 | + | 0.952532i | \(0.401532\pi\) | |||||||
\(18\) | 7.72760e16 | + | 3.73471e16i | 0.874714 | + | 0.422744i | ||||
\(19\) | 3.21749e16 | + | 3.21749e16i | 0.175527 | + | 0.175527i | 0.789403 | − | 0.613876i | \(-0.210390\pi\) |
−0.613876 | + | 0.789403i | \(0.710390\pi\) | |||||||
\(20\) | 5.07954e16 | + | 5.86686e15i | 0.138650 | + | 0.0160140i | ||||
\(21\) | 8.95425e16 | − | 8.95425e16i | 0.126494 | − | 0.126494i | ||||
\(22\) | 1.43630e17 | + | 4.12316e17i | 0.108278 | + | 0.310830i | ||||
\(23\) | 1.49823e18i | 0.619800i | 0.950769 | + | 0.309900i | \(0.100296\pi\) | ||||
−0.950769 | + | 0.309900i | \(0.899704\pi\) | |||||||
\(24\) | −6.12030e17 | − | 3.88147e17i | −0.142535 | − | 0.0903949i | ||||
\(25\) | 7.30544e18i | 0.980520i | ||||||||
\(26\) | 6.44332e18 | − | 2.24453e18i | 0.509295 | − | 0.177413i | ||||
\(27\) | −4.95475e18 | + | 4.95475e18i | −0.235294 | + | 0.235294i | ||||
\(28\) | 2.85738e19 | − | 2.26567e19i | 0.830490 | − | 0.658510i | ||||
\(29\) | 8.47986e18 | + | 8.47986e18i | 0.153467 | + | 0.153467i | 0.779665 | − | 0.626197i | \(-0.215390\pi\) |
−0.626197 | + | 0.779665i | \(0.715390\pi\) | |||||||
\(30\) | −8.95138e17 | + | 1.85216e18i | −0.0102507 | + | 0.0212100i | ||||
\(31\) | −1.32940e20 | −0.977851 | −0.488925 | − | 0.872326i | \(-0.662611\pi\) | ||||
−0.488925 | + | 0.872326i | \(0.662611\pi\) | |||||||
\(32\) | −1.62257e20 | − | 1.31258e20i | −0.777463 | − | 0.628929i | ||||
\(33\) | −1.75654e19 | −0.0555546 | ||||||||
\(34\) | −1.25350e20 | + | 2.59365e20i | −0.264946 | + | 0.548208i | ||||
\(35\) | −7.31910e19 | − | 7.31910e19i | −0.104602 | − | 0.104602i | ||||
\(36\) | −7.79128e20 | + | 6.17785e20i | −0.761247 | + | 0.603606i | ||||
\(37\) | 7.33132e20 | − | 7.33132e20i | 0.494833 | − | 0.494833i | −0.414992 | − | 0.909825i | \(-0.636216\pi\) |
0.909825 | + | 0.414992i | \(0.136216\pi\) | |||||||
\(38\) | −4.97815e20 | + | 1.73414e20i | −0.234417 | + | 0.0816591i | ||||
\(39\) | 2.74498e20i | 0.0910262i | ||||||||
\(40\) | −3.17267e20 | + | 5.00266e20i | −0.0747506 | + | 0.117867i | ||||
\(41\) | − | 9.82451e20i | − | 0.165855i | −0.996556 | − | 0.0829276i | \(-0.973573\pi\) | ||
0.996556 | − | 0.0829276i | \(-0.0264270\pi\) | |||||||
\(42\) | 4.82608e20 | + | 1.38541e21i | 0.0588477 | + | 0.168933i | ||||
\(43\) | −1.30008e22 | + | 1.30008e22i | −1.15385 | + | 1.15385i | −0.168070 | + | 0.985775i | \(0.553753\pi\) |
−0.985775 | + | 0.168070i | \(0.946247\pi\) | |||||||
\(44\) | −5.02490e21 | − | 5.80375e20i | −0.326976 | − | 0.0377657i | ||||
\(45\) | 1.99572e21 | + | 1.99572e21i | 0.0958805 | + | 0.0958805i | ||||
\(46\) | −1.56279e22 | − | 7.55286e21i | −0.558044 | − | 0.269700i | ||||
\(47\) | −4.26559e22 | −1.13935 | −0.569676 | − | 0.821869i | \(-0.692931\pi\) | ||||
−0.569676 | + | 0.821869i | \(0.692931\pi\) | |||||||
\(48\) | 7.13409e21 | − | 4.42730e21i | 0.143411 | − | 0.0889985i | ||||
\(49\) | −8.10557e21 | −0.123349 | ||||||||
\(50\) | −7.62024e22 | − | 3.68282e22i | −0.882823 | − | 0.426664i | ||||
\(51\) | −8.19477e21 | − | 8.19477e21i | −0.0726674 | − | 0.0726674i | ||||
\(52\) | −9.06962e21 | + | 7.85249e22i | −0.0618791 | + | 0.535750i | ||||
\(53\) | 1.05894e23 | − | 1.05894e23i | 0.558658 | − | 0.558658i | −0.370267 | − | 0.928925i | \(-0.620734\pi\) |
0.928925 | + | 0.370267i | \(0.120734\pi\) | |||||||
\(54\) | −2.67047e22 | − | 7.66605e22i | −0.109464 | − | 0.314236i | ||||
\(55\) | 1.43578e22i | 0.0459400i | ||||||||
\(56\) | 9.22835e22 | + | 4.12268e23i | 0.231518 | + | 1.03429i | ||||
\(57\) | − | 2.12078e22i | − | 0.0418973i | ||||||
\(58\) | −1.31201e23 | + | 4.57040e22i | −0.204956 | + | 0.0713964i | ||||
\(59\) | 2.50600e23 | − | 2.50600e23i | 0.310799 | − | 0.310799i | −0.534420 | − | 0.845219i | \(-0.679470\pi\) |
0.845219 | + | 0.534420i | \(0.179470\pi\) | |||||||
\(60\) | −1.48071e22 | − | 1.86742e22i | −0.0146362 | − | 0.0184587i | ||||
\(61\) | 2.69362e23 | + | 2.69362e23i | 0.213002 | + | 0.213002i | 0.805541 | − | 0.592540i | \(-0.201875\pi\) |
−0.592540 | + | 0.805541i | \(0.701875\pi\) | |||||||
\(62\) | 6.70177e23 | − | 1.38668e24i | 0.425502 | − | 0.880420i | ||||
\(63\) | 2.01281e24 | 1.02969 | ||||||||
\(64\) | 2.18712e24 | − | 1.03079e24i | 0.904570 | − | 0.426326i | ||||
\(65\) | 2.24371e23 | 0.0752726 | ||||||||
\(66\) | 8.85509e22 | − | 1.83223e23i | 0.0241741 | − | 0.0500193i | ||||
\(67\) | −1.96312e24 | − | 1.96312e24i | −0.437458 | − | 0.437458i | 0.453698 | − | 0.891156i | \(-0.350105\pi\) |
−0.891156 | + | 0.453698i | \(0.850105\pi\) | |||||||
\(68\) | −2.07350e24 | − | 2.61502e24i | −0.378297 | − | 0.477095i | ||||
\(69\) | 4.93771e23 | − | 4.93771e23i | 0.0739712 | − | 0.0739712i | ||||
\(70\) | 1.13242e24 | − | 3.94478e23i | 0.139696 | − | 0.0486631i | ||||
\(71\) | − | 3.69903e24i | − | 0.376791i | −0.982093 | − | 0.188395i | \(-0.939671\pi\) | ||
0.982093 | − | 0.188395i | \(-0.0603286\pi\) | |||||||
\(72\) | −2.51632e24 | − | 1.12414e25i | −0.212215 | − | 0.948051i | ||||
\(73\) | − | 1.22287e25i | − | 0.856097i | −0.903756 | − | 0.428049i | \(-0.859201\pi\) | ||
0.903756 | − | 0.428049i | \(-0.140799\pi\) | |||||||
\(74\) | 3.95137e24 | + | 1.13431e25i | 0.230207 | + | 0.660851i | ||||
\(75\) | 2.40766e24 | − | 2.40766e24i | 0.117022 | − | 0.117022i | ||||
\(76\) | 7.00724e23 | − | 6.06688e24i | 0.0284815 | − | 0.246593i | ||||
\(77\) | 7.24037e24 | + | 7.24037e24i | 0.246681 | + | 0.246681i | ||||
\(78\) | −2.86326e24 | − | 1.38380e24i | −0.0819566 | − | 0.0396092i | ||||
\(79\) | 3.63425e25 | 0.875889 | 0.437944 | − | 0.899002i | \(-0.355707\pi\) | ||||
0.437944 | + | 0.899002i | \(0.355707\pi\) | |||||||
\(80\) | −3.61883e24 | − | 5.83133e24i | −0.0735958 | − | 0.118591i | ||||
\(81\) | −5.32273e25 | −0.915349 | ||||||||
\(82\) | 1.02479e25 | + | 4.95274e24i | 0.149330 | + | 0.0721703i | ||||
\(83\) | −8.16524e25 | − | 8.16524e25i | −1.01022 | − | 1.01022i | −0.999947 | − | 0.0102696i | \(-0.996731\pi\) |
−0.0102696 | − | 0.999947i | \(-0.503269\pi\) | |||||||
\(84\) | −1.68840e25 | − | 1.95011e24i | −0.177708 | − | 0.0205252i | ||||
\(85\) | −6.69831e24 | + | 6.69831e24i | −0.0600911 | + | 0.0600911i | ||||
\(86\) | −7.00708e25 | − | 2.01151e26i | −0.536794 | − | 1.54096i | ||||
\(87\) | − | 5.58942e24i | − | 0.0366317i | ||||||
\(88\) | 3.13854e25 | − | 4.94885e25i | 0.176283 | − | 0.277964i | ||||
\(89\) | − | 2.68126e26i | − | 1.29293i | −0.762945 | − | 0.646463i | \(-0.776247\pi\) | ||
0.762945 | − | 0.646463i | \(-0.223753\pi\) | |||||||
\(90\) | −3.08780e25 | + | 1.07563e25i | −0.128049 | + | 0.0446057i | ||||
\(91\) | 1.13146e26 | − | 1.13146e26i | 0.404187 | − | 0.404187i | ||||
\(92\) | 1.57567e26 | − | 1.24937e26i | 0.485655 | − | 0.385085i | ||||
\(93\) | 4.38131e25 | + | 4.38131e25i | 0.116704 | + | 0.116704i | ||||
\(94\) | 2.15037e26 | − | 4.44940e26i | 0.495779 | − | 1.02583i | ||||
\(95\) | −1.73350e25 | −0.0346462 | ||||||||
\(96\) | 1.02164e25 | + | 9.67341e25i | 0.0177270 | + | 0.167849i | ||||
\(97\) | 1.84751e25 | 0.0278721 | 0.0139360 | − | 0.999903i | \(-0.495564\pi\) | ||||
0.0139360 | + | 0.999903i | \(0.495564\pi\) | |||||||
\(98\) | 4.08618e25 | − | 8.45485e25i | 0.0536742 | − | 0.111059i | ||||
\(99\) | −1.97425e26 | − | 1.97425e26i | −0.226114 | − | 0.226114i | ||||
\(100\) | 7.68304e26 | − | 6.09202e26i | 0.768304 | − | 0.609202i | ||||
\(101\) | 1.43550e27 | − | 1.43550e27i | 1.25506 | − | 1.25506i | 0.301637 | − | 0.953423i | \(-0.402467\pi\) |
0.953423 | − | 0.301637i | \(-0.0975332\pi\) | |||||||
\(102\) | 1.26791e26 | − | 4.41674e25i | 0.0970475 | − | 0.0338065i | ||||
\(103\) | 4.16136e26i | 0.279211i | 0.990207 | + | 0.139606i | \(0.0445835\pi\) | ||||
−0.990207 | + | 0.139606i | \(0.955417\pi\) | |||||||
\(104\) | −7.73365e26 | − | 4.90465e26i | −0.455443 | − | 0.288840i | ||||
\(105\) | 4.82432e25i | 0.0249678i | ||||||||
\(106\) | 5.70736e26 | + | 1.63840e27i | 0.259900 | + | 0.746089i | ||||
\(107\) | 1.61351e27 | − | 1.61351e27i | 0.647278 | − | 0.647278i | −0.305056 | − | 0.952334i | \(-0.598675\pi\) |
0.952334 | + | 0.305056i | \(0.0986753\pi\) | |||||||
\(108\) | 9.34263e26 | + | 1.07907e26i | 0.330559 | + | 0.0381795i | ||||
\(109\) | 8.78792e25 | + | 8.78792e25i | 0.0274554 | + | 0.0274554i | 0.720701 | − | 0.693246i | \(-0.243820\pi\) |
−0.693246 | + | 0.720701i | \(0.743820\pi\) | |||||||
\(110\) | −1.49765e26 | − | 7.23805e25i | −0.0413626 | − | 0.0199903i | ||||
\(111\) | −4.83237e26 | −0.118114 | ||||||||
\(112\) | −4.76555e27 | − | 1.11572e27i | −1.03198 | − | 0.241609i | ||||
\(113\) | −8.03820e27 | −1.54383 | −0.771916 | − | 0.635725i | \(-0.780701\pi\) | ||||
−0.771916 | + | 0.635725i | \(0.780701\pi\) | |||||||
\(114\) | 2.21217e26 | + | 1.06913e26i | 0.0377227 | + | 0.0182312i | ||||
\(115\) | −4.03603e26 | − | 4.03603e26i | −0.0611693 | − | 0.0611693i | ||||
\(116\) | 1.84679e26 | − | 1.59895e27i | 0.0249020 | − | 0.215602i | ||||
\(117\) | −3.08519e27 | + | 3.08519e27i | −0.370487 | + | 0.370487i | ||||
\(118\) | 1.35066e27 | + | 3.87732e27i | 0.144590 | + | 0.415073i | ||||
\(119\) | 6.75569e27i | 0.645335i | ||||||||
\(120\) | 2.69435e26 | − | 6.03113e25i | 0.0229883 | − | 0.00514578i | ||||
\(121\) | 1.16897e28i | 0.891660i | ||||||||
\(122\) | −4.16760e27 | + | 1.45178e27i | −0.284465 | + | 0.0990931i | ||||
\(123\) | −3.23787e26 | + | 3.23787e26i | −0.0197943 | + | 0.0197943i | ||||
\(124\) | 1.10859e28 | + | 1.39811e28i | 0.607544 | + | 0.766213i | ||||
\(125\) | −3.97508e27 | − | 3.97508e27i | −0.195461 | − | 0.195461i | ||||
\(126\) | −1.01470e28 | + | 2.09955e28i | −0.448059 | + | 0.927093i | ||||
\(127\) | −3.90825e27 | −0.155107 | −0.0775537 | − | 0.996988i | \(-0.524711\pi\) | ||||
−0.0775537 | + | 0.996988i | \(0.524711\pi\) | |||||||
\(128\) | −2.73589e26 | + | 2.80100e28i | −0.00976706 | + | 0.999952i | ||||
\(129\) | 8.56939e27 | 0.275416 | ||||||||
\(130\) | −1.13110e27 | + | 2.34040e27i | −0.0327541 | + | 0.0677726i | ||||
\(131\) | 9.69050e26 | + | 9.69050e26i | 0.0253037 | + | 0.0253037i | 0.719645 | − | 0.694342i | \(-0.244304\pi\) |
−0.694342 | + | 0.719645i | \(0.744304\pi\) | |||||||
\(132\) | 1.46478e27 | + | 1.84733e27i | 0.0345164 | + | 0.0435308i | ||||
\(133\) | −8.74176e27 | + | 8.74176e27i | −0.186038 | + | 0.186038i | ||||
\(134\) | 3.03736e28 | − | 1.05806e28i | 0.584227 | − | 0.203515i | ||||
\(135\) | − | 2.66949e27i | − | 0.0464433i | ||||||
\(136\) | 3.77300e28 | − | 8.44562e27i | 0.594171 | − | 0.133001i | ||||
\(137\) | − | 4.94336e28i | − | 0.705172i | −0.935779 | − | 0.352586i | \(-0.885302\pi\) | ||
0.935779 | − | 0.352586i | \(-0.114698\pi\) | |||||||
\(138\) | 2.66128e27 | + | 7.63968e27i | 0.0344131 | + | 0.0987888i | ||||
\(139\) | −7.67653e28 | + | 7.67653e28i | −0.900462 | + | 0.900462i | −0.995476 | − | 0.0950144i | \(-0.969710\pi\) |
0.0950144 | + | 0.995476i | \(0.469710\pi\) | |||||||
\(140\) | −1.59399e27 | + | 1.38008e28i | −0.0169730 | + | 0.146952i | ||||
\(141\) | 1.40581e28 | + | 1.40581e28i | 0.135978 | + | 0.135978i | ||||
\(142\) | 3.85843e28 | + | 1.86476e28i | 0.339248 | + | 0.163957i | ||||
\(143\) | −2.21958e28 | −0.177514 | ||||||||
\(144\) | 1.29943e29 | + | 3.04227e28i | 0.945933 | + | 0.221465i | ||||
\(145\) | −4.56873e27 | −0.0302920 | ||||||||
\(146\) | 1.27557e29 | + | 6.16476e28i | 0.770798 | + | 0.372523i | ||||
\(147\) | 2.67136e27 | + | 2.67136e27i | 0.0147214 | + | 0.0147214i | ||||
\(148\) | −1.38239e29 | − | 1.59665e28i | −0.695178 | − | 0.0802930i | ||||
\(149\) | −1.10859e29 | + | 1.10859e29i | −0.509044 | + | 0.509044i | −0.914233 | − | 0.405189i | \(-0.867206\pi\) |
0.405189 | + | 0.914233i | \(0.367206\pi\) | |||||||
\(150\) | 1.29766e28 | + | 3.72516e28i | 0.0544413 | + | 0.156283i | ||||
\(151\) | − | 4.24881e29i | − | 1.62959i | −0.579750 | − | 0.814795i | \(-0.696850\pi\) | ||
0.579750 | − | 0.814795i | \(-0.303150\pi\) | |||||||
\(152\) | 5.97506e28 | + | 3.78936e28i | 0.209630 | + | 0.132946i | ||||
\(153\) | − | 1.84209e29i | − | 0.591530i | ||||||
\(154\) | −1.12024e29 | + | 3.90235e28i | −0.329444 | + | 0.114762i | ||||
\(155\) | 3.58123e28 | − | 3.58123e28i | 0.0965060 | − | 0.0965060i | ||||
\(156\) | 2.88686e28 | − | 2.28904e28i | 0.0713252 | − | 0.0565551i | ||||
\(157\) | −4.14338e29 | − | 4.14338e29i | −0.939094 | − | 0.939094i | 0.0591544 | − | 0.998249i | \(-0.481160\pi\) |
−0.998249 | + | 0.0591544i | \(0.981160\pi\) | |||||||
\(158\) | −1.83210e29 | + | 3.79085e29i | −0.381135 | + | 0.788617i | ||||
\(159\) | −6.97989e28 | −0.133348 | ||||||||
\(160\) | 7.90693e28 | − | 8.35077e27i | 0.138800 | − | 0.0146591i | ||||
\(161\) | −4.07060e29 | −0.656914 | ||||||||
\(162\) | 2.68330e29 | − | 5.55210e29i | 0.398306 | − | 0.824146i | ||||
\(163\) | −5.13776e29 | − | 5.13776e29i | −0.701845 | − | 0.701845i | 0.262961 | − | 0.964806i | \(-0.415301\pi\) |
−0.964806 | + | 0.262961i | \(0.915301\pi\) | |||||||
\(164\) | −1.03323e29 | + | 8.19268e28i | −0.129959 | + | 0.103047i | ||||
\(165\) | 4.73190e27 | − | 4.73190e27i | 0.00548280 | − | 0.00548280i | ||||
\(166\) | 1.26334e30 | − | 4.40083e29i | 1.34915 | − | 0.469975i | ||||
\(167\) | − | 8.93544e28i | − | 0.0879921i | −0.999032 | − | 0.0439960i | \(-0.985991\pi\) | ||
0.999032 | − | 0.0439960i | \(-0.0140089\pi\) | |||||||
\(168\) | 1.05457e29 | − | 1.66285e29i | 0.0958079 | − | 0.151070i | ||||
\(169\) | − | 8.45676e29i | − | 0.709143i | ||||||
\(170\) | −3.61020e28 | − | 1.03637e29i | −0.0279557 | − | 0.0802518i | ||||
\(171\) | 2.38364e29 | − | 2.38364e29i | 0.170527 | − | 0.170527i | ||||
\(172\) | 2.45143e30 | + | 2.83139e29i | 1.62101 | + | 0.187226i | ||||
\(173\) | −4.52209e29 | − | 4.52209e29i | −0.276514 | − | 0.276514i | 0.555202 | − | 0.831716i | \(-0.312641\pi\) |
−0.831716 | + | 0.555202i | \(0.812641\pi\) | |||||||
\(174\) | 5.83028e28 | + | 2.81774e28i | 0.0329818 | + | 0.0159399i | ||||
\(175\) | −1.98485e30 | −1.03923 | ||||||||
\(176\) | 3.57990e29 | + | 5.76860e29i | 0.173560 | + | 0.279672i | ||||
\(177\) | −1.65181e29 | −0.0741858 | ||||||||
\(178\) | 2.79680e30 | + | 1.35168e30i | 1.16410 | + | 0.562605i | ||||
\(179\) | −1.97214e30 | − | 1.97214e30i | −0.761064 | − | 0.761064i | 0.215451 | − | 0.976515i | \(-0.430878\pi\) |
−0.976515 | + | 0.215451i | \(0.930878\pi\) | |||||||
\(180\) | 4.34638e28 | − | 3.76311e29i | 0.0155578 | − | 0.134700i | ||||
\(181\) | 3.02766e30 | − | 3.02766e30i | 1.00565 | − | 1.00565i | 0.00566486 | − | 0.999984i | \(-0.498197\pi\) |
0.999984 | − | 0.00566486i | \(-0.00180319\pi\) | |||||||
\(182\) | 6.09827e29 | + | 1.75062e30i | 0.188037 | + | 0.539793i | ||||
\(183\) | − | 1.77547e29i | − | 0.0508422i | ||||||
\(184\) | 5.08886e29 | + | 2.27340e30i | 0.135388 | + | 0.604832i | ||||
\(185\) | 3.94993e29i | 0.0976722i | ||||||||
\(186\) | −6.77881e29 | + | 2.36140e29i | −0.155858 | + | 0.0542931i | ||||
\(187\) | 6.62626e29 | − | 6.62626e29i | 0.141712 | − | 0.141712i | ||||
\(188\) | 3.55709e30 | + | 4.48607e30i | 0.707886 | + | 0.892761i | ||||
\(189\) | −1.34618e30 | − | 1.34618e30i | −0.249384 | − | 0.249384i | ||||
\(190\) | 8.73895e28 | − | 1.80820e29i | 0.0150760 | − | 0.0311942i | ||||
\(191\) | −6.07002e30 | −0.975528 | −0.487764 | − | 0.872975i | \(-0.662187\pi\) | ||||
−0.487764 | + | 0.872975i | \(0.662187\pi\) | |||||||
\(192\) | −1.06053e30 | − | 3.81090e29i | −0.158838 | − | 0.0570770i | ||||
\(193\) | −1.28234e31 | −1.79053 | −0.895263 | − | 0.445538i | \(-0.853012\pi\) | ||||
−0.895263 | + | 0.445538i | \(0.853012\pi\) | |||||||
\(194\) | −9.31370e28 | + | 1.92713e29i | −0.0121283 | + | 0.0250950i | ||||
\(195\) | −7.39461e28 | − | 7.39461e28i | −0.00898356 | − | 0.00898356i | ||||
\(196\) | 6.75925e29 | + | 8.52452e29i | 0.0766375 | + | 0.0966525i | ||||
\(197\) | −9.66074e30 | + | 9.66074e30i | −1.02262 | + | 1.02262i | −0.0228865 | + | 0.999738i | \(0.507286\pi\) |
−0.999738 | + | 0.0228865i | \(0.992714\pi\) | |||||||
\(198\) | 3.05458e30 | − | 1.06406e30i | 0.301976 | − | 0.105193i | ||||
\(199\) | 5.43325e30i | 0.501814i | 0.968011 | + | 0.250907i | \(0.0807289\pi\) | ||||
−0.968011 | + | 0.250907i | \(0.919271\pi\) | |||||||
\(200\) | 2.48136e30 | + | 1.10852e31i | 0.214183 | + | 0.956841i | ||||
\(201\) | 1.29397e30i | 0.104419i | ||||||||
\(202\) | 7.73692e30 | + | 2.22102e31i | 0.583882 | + | 1.67614i | ||||
\(203\) | −2.30393e30 | + | 2.30393e30i | −0.162657 | + | 0.162657i | ||||
\(204\) | −1.78470e29 | + | 1.54520e30i | −0.0117912 | + | 0.102089i | ||||
\(205\) | 2.64660e29 | + | 2.64660e29i | 0.0163686 | + | 0.0163686i | ||||
\(206\) | −4.34068e30 | − | 2.09783e30i | −0.251391 | − | 0.121496i | ||||
\(207\) | 1.10994e31 | 0.602143 | ||||||||
\(208\) | 9.01468e30 | − | 5.59437e30i | 0.458243 | − | 0.284378i | ||||
\(209\) | 1.71486e30 | 0.0817058 | ||||||||
\(210\) | −5.03221e29 | − | 2.43204e29i | −0.0224801 | − | 0.0108645i | ||||
\(211\) | −1.07638e31 | − | 1.07638e31i | −0.450976 | − | 0.450976i | 0.444702 | − | 0.895678i | \(-0.353309\pi\) |
−0.895678 | + | 0.444702i | \(0.853309\pi\) | |||||||
\(212\) | −1.99672e31 | − | 2.30621e30i | −0.784844 | − | 0.0906494i | ||||
\(213\) | −1.21909e30 | + | 1.21909e30i | −0.0449688 | + | 0.0449688i | ||||
\(214\) | 8.69635e30 | + | 2.49644e31i | 0.301128 | + | 0.864442i | ||||
\(215\) | − | 7.00452e30i | − | 0.227751i | ||||||
\(216\) | −5.83538e30 | + | 9.20123e30i | −0.178215 | + | 0.281009i | ||||
\(217\) | − | 3.61191e31i | − | 1.03641i | ||||||
\(218\) | −1.35968e30 | + | 4.73643e29i | −0.0366668 | + | 0.0127729i | ||||
\(219\) | −4.03023e30 | + | 4.03023e30i | −0.102173 | + | 0.102173i | ||||
\(220\) | 1.50999e30 | − | 1.19730e30i | 0.0359971 | − | 0.0285428i | ||||
\(221\) | −1.03550e31 | − | 1.03550e31i | −0.232195 | − | 0.232195i | ||||
\(222\) | 2.43610e30 | − | 5.04061e30i | 0.0513961 | − | 0.106345i | ||||
\(223\) | −1.55403e31 | −0.308563 | −0.154281 | − | 0.988027i | \(-0.549306\pi\) | ||||
−0.154281 | + | 0.988027i | \(0.549306\pi\) | |||||||
\(224\) | 3.56621e31 | − | 4.40844e31i | 0.666590 | − | 0.824018i | ||||
\(225\) | 5.41214e31 | 0.952587 | ||||||||
\(226\) | 4.05222e31 | − | 8.38458e31i | 0.671784 | − | 1.39001i | ||||
\(227\) | 3.81035e31 | + | 3.81035e31i | 0.595135 | + | 0.595135i | 0.939014 | − | 0.343879i | \(-0.111741\pi\) |
−0.343879 | + | 0.939014i | \(0.611741\pi\) | |||||||
\(228\) | −2.23040e30 | + | 1.76853e30i | −0.0328294 | + | 0.0260310i | ||||
\(229\) | 2.60208e31 | − | 2.60208e31i | 0.361028 | − | 0.361028i | −0.503163 | − | 0.864191i | \(-0.667831\pi\) |
0.864191 | + | 0.503163i | \(0.167831\pi\) | |||||||
\(230\) | 6.24459e30 | − | 2.17530e30i | 0.0816917 | − | 0.0284573i | ||||
\(231\) | − | 4.77243e30i | − | 0.0588813i | ||||||
\(232\) | 1.57475e31 | + | 9.98703e30i | 0.183284 | + | 0.116238i | ||||
\(233\) | 1.75984e31i | 0.193272i | 0.995320 | + | 0.0966358i | \(0.0308082\pi\) | ||||
−0.995320 | + | 0.0966358i | \(0.969192\pi\) | |||||||
\(234\) | −1.66283e31 | − | 4.77345e31i | −0.172359 | − | 0.494787i | ||||
\(235\) | 1.14910e31 | − | 1.14910e31i | 0.112445 | − | 0.112445i | ||||
\(236\) | −4.72529e31 | − | 5.45771e30i | −0.436633 | − | 0.0504311i | ||||
\(237\) | −1.19774e31 | − | 1.19774e31i | −0.104535 | − | 0.104535i | ||||
\(238\) | −7.04680e31 | − | 3.40568e31i | −0.581036 | − | 0.280812i | ||||
\(239\) | 4.27604e31 | 0.333173 | 0.166587 | − | 0.986027i | \(-0.446725\pi\) | ||||
0.166587 | + | 0.986027i | \(0.446725\pi\) | |||||||
\(240\) | −7.29174e29 | + | 3.11449e30i | −0.00537007 | + | 0.0229369i | ||||
\(241\) | −7.70917e31 | −0.536757 | −0.268379 | − | 0.963314i | \(-0.586488\pi\) | ||||
−0.268379 | + | 0.963314i | \(0.586488\pi\) | |||||||
\(242\) | −1.21934e32 | − | 5.89300e31i | −0.802818 | − | 0.387997i | ||||
\(243\) | 5.53251e31 | + | 5.53251e31i | 0.344538 | + | 0.344538i | ||||
\(244\) | 5.86631e30 | − | 5.07906e31i | 0.0345623 | − | 0.299241i | ||||
\(245\) | 2.18354e30 | − | 2.18354e30i | 0.0121736 | − | 0.0121736i | ||||
\(246\) | −1.74512e30 | − | 5.00967e30i | −0.00920875 | − | 0.0264354i | ||||
\(247\) | − | 2.67983e31i | − | 0.133875i | ||||||
\(248\) | −2.01722e32 | + | 4.51542e31i | −0.954236 | + | 0.213600i | ||||
\(249\) | 5.38204e31i | 0.241133i | ||||||||
\(250\) | 6.15030e31 | − | 2.14245e31i | 0.261039 | − | 0.0909330i | ||||
\(251\) | 1.33650e32 | − | 1.33650e32i | 0.537492 | − | 0.537492i | −0.385299 | − | 0.922792i | \(-0.625902\pi\) |
0.922792 | + | 0.385299i | \(0.125902\pi\) | |||||||
\(252\) | −1.67849e32 | − | 2.11685e32i | −0.639751 | − | 0.806831i | ||||
\(253\) | 3.99261e31 | + | 3.99261e31i | 0.144255 | + | 0.144255i | ||||
\(254\) | 1.97023e31 | − | 4.07667e31i | 0.0674935 | − | 0.139653i | ||||
\(255\) | 4.41513e30 | 0.0143434 | ||||||||
\(256\) | −2.90791e32 | − | 1.44058e32i | −0.896070 | − | 0.443914i | ||||
\(257\) | 1.37592e32 | 0.402249 | 0.201125 | − | 0.979566i | \(-0.435540\pi\) | ||||
0.201125 | + | 0.979566i | \(0.435540\pi\) | |||||||
\(258\) | −4.32001e31 | + | 8.93866e31i | −0.119845 | + | 0.247974i | ||||
\(259\) | 1.99188e32 | + | 1.99188e32i | 0.524465 | + | 0.524465i | ||||
\(260\) | −1.87104e31 | − | 2.35968e31i | −0.0467673 | − | 0.0589812i | ||||
\(261\) | 6.28219e31 | − | 6.28219e31i | 0.149095 | − | 0.149095i | ||||
\(262\) | −1.49933e31 | + | 5.22290e30i | −0.0337931 | + | 0.0117718i | ||||
\(263\) | 7.01364e32i | 1.50155i | 0.660556 | + | 0.750777i | \(0.270321\pi\) | ||||
−0.660556 | + | 0.750777i | \(0.729679\pi\) | |||||||
\(264\) | −2.66536e31 | + | 5.96625e30i | −0.0542130 | + | 0.0121352i | ||||
\(265\) | 5.70528e31i | 0.110270i | ||||||||
\(266\) | −4.71155e31 | − | 1.35254e32i | −0.0865490 | − | 0.248454i | ||||
\(267\) | −8.83664e31 | + | 8.83664e31i | −0.154307 | + | 0.154307i | ||||
\(268\) | −4.27538e31 | + | 3.70163e32i | −0.0709832 | + | 0.614573i | ||||
\(269\) | 6.36975e32 | + | 6.36975e32i | 1.00570 | + | 1.00570i | 0.999984 | + | 0.00571206i | \(0.00181821\pi\) |
0.00571206 | + | 0.999984i | \(0.498182\pi\) | |||||||
\(270\) | 2.78453e31 | + | 1.34575e31i | 0.0418158 | + | 0.0202094i | ||||
\(271\) | 7.56447e32 | 1.08067 | 0.540335 | − | 0.841450i | \(-0.318298\pi\) | ||||
0.540335 | + | 0.841450i | \(0.318298\pi\) | |||||||
\(272\) | −1.02109e32 | + | 4.36135e32i | −0.138798 | + | 0.592844i | ||||
\(273\) | −7.45795e31 | −0.0964770 | ||||||||
\(274\) | 5.15638e32 | + | 2.49205e32i | 0.634910 | + | 0.306849i | ||||
\(275\) | 1.94682e32 | + | 1.94682e32i | 0.228210 | + | 0.228210i | ||||
\(276\) | −9.31050e31 | − | 1.07536e31i | −0.103920 | − | 0.0120028i | ||||
\(277\) | 1.92129e32 | − | 1.92129e32i | 0.204229 | − | 0.204229i | −0.597580 | − | 0.801809i | \(-0.703871\pi\) |
0.801809 | + | 0.597580i | \(0.203871\pi\) | |||||||
\(278\) | −4.13743e32 | − | 1.18772e33i | −0.418915 | − | 1.20257i | ||||
\(279\) | 9.84867e32i | 0.949994i | ||||||||
\(280\) | −1.35920e32 | − | 8.61996e31i | −0.124925 | − | 0.0792268i | ||||
\(281\) | − | 9.16183e32i | − | 0.802503i | −0.915968 | − | 0.401252i | \(-0.868575\pi\) | ||
0.915968 | − | 0.401252i | \(-0.131425\pi\) | |||||||
\(282\) | −2.17509e32 | + | 7.57693e31i | −0.181600 | + | 0.0632601i | ||||
\(283\) | −6.94410e32 | + | 6.94410e32i | −0.552712 | + | 0.552712i | −0.927223 | − | 0.374511i | \(-0.877811\pi\) |
0.374511 | + | 0.927223i | \(0.377811\pi\) | |||||||
\(284\) | −3.89022e32 | + | 3.08463e32i | −0.295241 | + | 0.234102i | ||||
\(285\) | 5.71312e30 | + | 5.71312e30i | 0.00413492 | + | 0.00413492i | ||||
\(286\) | 1.11893e32 | − | 2.31522e32i | 0.0772437 | − | 0.159827i | ||||
\(287\) | 2.66927e32 | 0.175787 | ||||||||
\(288\) | −9.72408e32 | + | 1.20206e33i | −0.611013 | + | 0.755315i | ||||
\(289\) | −1.04944e33 | −0.629271 | ||||||||
\(290\) | 2.30319e31 | − | 4.76560e31i | 0.0131813 | − | 0.0272738i | ||||
\(291\) | −6.08886e30 | − | 6.08886e30i | −0.00332645 | − | 0.00332645i | ||||
\(292\) | −1.28608e33 | + | 1.01976e33i | −0.670811 | + | 0.531898i | ||||
\(293\) | −2.36830e32 | + | 2.36830e32i | −0.117957 | + | 0.117957i | −0.763621 | − | 0.645664i | \(-0.776581\pi\) |
0.645664 | + | 0.763621i | \(0.276581\pi\) | |||||||
\(294\) | −4.13315e31 | + | 1.43978e31i | −0.0196604 | + | 0.00684870i | ||||
\(295\) | 1.35017e32i | 0.0613467i | ||||||||
\(296\) | 8.63435e32 | − | 1.36146e33i | 0.374793 | − | 0.590974i | ||||
\(297\) | 2.64078e32i | 0.109527i | ||||||||
\(298\) | −5.97497e32 | − | 1.71522e33i | −0.236819 | − | 0.679830i | ||||
\(299\) | 6.23932e32 | − | 6.23932e32i | 0.236361 | − | 0.236361i | ||||
\(300\) | −4.53986e32 | − | 5.24353e31i | −0.164401 | − | 0.0189883i | ||||
\(301\) | −3.53226e33 | − | 3.53226e33i | −1.22294 | − | 1.22294i | ||||
\(302\) | 4.43189e33 | + | 2.14191e33i | 1.46722 | + | 0.709100i | ||||
\(303\) | −9.46197e32 | −0.299575 | ||||||||
\(304\) | −6.96479e32 | + | 4.32224e32i | −0.210919 | + | 0.130893i | ||||
\(305\) | −1.45125e32 | −0.0420431 | ||||||||
\(306\) | 1.92147e33 | + | 9.28635e32i | 0.532591 | + | 0.257399i | ||||
\(307\) | 2.77134e33 | + | 2.77134e33i | 0.735057 | + | 0.735057i | 0.971617 | − | 0.236560i | \(-0.0760198\pi\) |
−0.236560 | + | 0.971617i | \(0.576020\pi\) | |||||||
\(308\) | 1.57685e32 | − | 1.36524e33i | 0.0400272 | − | 0.346556i | ||||
\(309\) | 1.37146e32 | − | 1.37146e32i | 0.0333230 | − | 0.0333230i | ||||
\(310\) | 1.93018e32 | + | 5.54092e32i | 0.0448967 | + | 0.128884i | ||||
\(311\) | − | 2.46792e33i | − | 0.549624i | −0.961498 | − | 0.274812i | \(-0.911384\pi\) | ||
0.961498 | − | 0.274812i | \(-0.0886156\pi\) | |||||||
\(312\) | 9.32356e31 | + | 4.16521e32i | 0.0198836 | + | 0.0888280i | ||||
\(313\) | − | 4.53667e33i | − | 0.926592i | −0.886204 | − | 0.463296i | \(-0.846667\pi\) | ||
0.886204 | − | 0.463296i | \(-0.153333\pi\) | |||||||
\(314\) | 6.41068e33 | − | 2.23316e33i | 1.25416 | − | 0.436888i | ||||
\(315\) | −5.42226e32 | + | 5.42226e32i | −0.101622 | + | 0.101622i | ||||
\(316\) | −3.03061e33 | − | 3.82210e33i | −0.544195 | − | 0.686319i | ||||
\(317\) | −6.57166e33 | − | 6.57166e33i | −1.13077 | − | 1.13077i | −0.990049 | − | 0.140723i | \(-0.955057\pi\) |
−0.140723 | − | 0.990049i | \(-0.544943\pi\) | |||||||
\(318\) | 3.51871e32 | − | 7.28067e32i | 0.0580252 | − | 0.120062i | ||||
\(319\) | 4.51959e32 | 0.0714372 | ||||||||
\(320\) | −3.11499e32 | + | 8.66863e32i | −0.0471988 | + | 0.131349i | ||||
\(321\) | −1.06353e33 | −0.154501 | ||||||||
\(322\) | 2.05207e33 | − | 4.24600e33i | 0.285850 | − | 0.591461i | ||||
\(323\) | 8.00030e32 | + | 8.00030e32i | 0.106874 | + | 0.106874i | ||||
\(324\) | 4.43864e33 | + | 5.59785e33i | 0.568712 | + | 0.717239i | ||||
\(325\) | 3.04233e33 | − | 3.04233e33i | 0.373922 | − | 0.373922i | ||||
\(326\) | 7.94920e33 | − | 2.76910e33i | 0.937316 | − | 0.326514i | ||||
\(327\) | − | 5.79248e31i | − | 0.00655345i | ||||||
\(328\) | −3.33698e32 | − | 1.49076e33i | −0.0362291 | − | 0.161850i | ||||
\(329\) | − | 1.15894e34i | − | 1.20758i | ||||||
\(330\) | 2.55036e31 | + | 7.32125e31i | 0.00255072 | + | 0.00732229i | ||||
\(331\) | 1.65630e33 | − | 1.65630e33i | 0.159023 | − | 0.159023i | −0.623111 | − | 0.782134i | \(-0.714131\pi\) |
0.782134 | + | 0.623111i | \(0.214131\pi\) | |||||||
\(332\) | −1.77827e33 | + | 1.53963e34i | −0.163921 | + | 1.41923i | ||||
\(333\) | −5.43131e33 | − | 5.43131e33i | −0.480737 | − | 0.480737i | ||||
\(334\) | 9.32048e32 | + | 4.50454e32i | 0.0792248 | + | 0.0382889i | ||||
\(335\) | 1.05768e33 | 0.0863472 | ||||||||
\(336\) | 1.20287e33 | + | 1.93829e33i | 0.0943279 | + | 0.151999i | ||||
\(337\) | −7.21385e33 | −0.543455 | −0.271727 | − | 0.962374i | \(-0.587595\pi\) | ||||
−0.271727 | + | 0.962374i | \(0.587595\pi\) | |||||||
\(338\) | 8.82118e33 | + | 4.26323e33i | 0.638486 | + | 0.308577i | ||||
\(339\) | 2.64915e33 | + | 2.64915e33i | 0.184252 | + | 0.184252i | ||||
\(340\) | 1.26303e33 | + | 1.45880e32i | 0.0844204 | + | 0.00975055i | ||||
\(341\) | −3.54271e33 | + | 3.54271e33i | −0.227589 | + | 0.227589i | ||||
\(342\) | 1.28471e33 | + | 3.68799e33i | 0.0793328 | + | 0.227739i | ||||
\(343\) | 1.56515e34i | 0.929146i | ||||||||
\(344\) | −1.53115e34 | + | 2.41433e34i | −0.873937 | + | 1.37802i | ||||
\(345\) | 2.66031e32i | 0.0146007i | ||||||||
\(346\) | 6.99664e33 | − | 2.43728e33i | 0.369285 | − | 0.128640i | ||||
\(347\) | −2.17247e34 | + | 2.17247e34i | −1.10282 | + | 1.10282i | −0.108756 | + | 0.994068i | \(0.534687\pi\) |
−0.994068 | + | 0.108756i | \(0.965313\pi\) | |||||||
\(348\) | −5.87833e32 | + | 4.66103e32i | −0.0287034 | + | 0.0227595i | ||||
\(349\) | −1.27630e34 | − | 1.27630e34i | −0.599526 | − | 0.599526i | 0.340660 | − | 0.940186i | \(-0.389349\pi\) |
−0.940186 | + | 0.340660i | \(0.889349\pi\) | |||||||
\(350\) | 1.00060e34 | − | 2.07038e34i | 0.452213 | − | 0.935688i | ||||
\(351\) | 4.12679e33 | 0.179459 | ||||||||
\(352\) | −7.82188e33 | + | 8.26094e32i | −0.327329 | + | 0.0345703i | ||||
\(353\) | −2.91455e34 | −1.17385 | −0.586925 | − | 0.809641i | \(-0.699662\pi\) | ||||
−0.586925 | + | 0.809641i | \(0.699662\pi\) | |||||||
\(354\) | 8.32711e32 | − | 1.72299e33i | 0.0322812 | − | 0.0667941i | ||||
\(355\) | 9.96471e32 | + | 9.96471e32i | 0.0371862 | + | 0.0371862i | ||||
\(356\) | −2.81985e34 | + | 2.23591e34i | −1.01310 | + | 0.803303i | ||||
\(357\) | 2.22648e33 | − | 2.22648e33i | 0.0770188 | − | 0.0770188i | ||||
\(358\) | 3.05131e34 | − | 1.06292e34i | 1.01640 | − | 0.354064i | ||||
\(359\) | 4.76762e34i | 1.52942i | 0.644375 | + | 0.764710i | \(0.277118\pi\) | ||||
−0.644375 | + | 0.764710i | \(0.722882\pi\) | |||||||
\(360\) | 3.70615e33 | + | 2.35043e33i | 0.114509 | + | 0.0726211i | ||||
\(361\) | − | 3.15302e34i | − | 0.938380i | ||||||
\(362\) | 1.63182e34 | + | 4.68443e34i | 0.467850 | + | 1.34305i | ||||
\(363\) | 3.85257e33 | − | 3.85257e33i | 0.106417 | − | 0.106417i | ||||
\(364\) | −2.13348e34 | − | 2.46417e33i | −0.567832 | − | 0.0655845i | ||||
\(365\) | 3.29427e33 | + | 3.29427e33i | 0.0844899 | + | 0.0844899i | ||||
\(366\) | 1.85198e33 | + | 8.95053e32i | 0.0457765 | + | 0.0221235i | ||||
\(367\) | 3.17989e34 | 0.757566 | 0.378783 | − | 0.925486i | \(-0.376343\pi\) | ||||
0.378783 | + | 0.925486i | \(0.376343\pi\) | |||||||
\(368\) | −2.62790e34 | − | 6.15252e33i | −0.603481 | − | 0.141289i | ||||
\(369\) | −7.27835e33 | −0.161130 | ||||||||
\(370\) | −4.12014e33 | − | 1.99124e33i | −0.0879404 | − | 0.0425011i | ||||
\(371\) | 2.87708e34 | + | 2.87708e34i | 0.592111 | + | 0.592111i | ||||
\(372\) | 9.54185e32 | − | 8.26135e33i | 0.0189366 | − | 0.163954i | ||||
\(373\) | 2.63701e34 | − | 2.63701e34i | 0.504711 | − | 0.504711i | −0.408187 | − | 0.912898i | \(-0.633839\pi\) |
0.912898 | + | 0.408187i | \(0.133839\pi\) | |||||||
\(374\) | 3.57136e33 | + | 1.02522e34i | 0.0659276 | + | 0.189257i | ||||
\(375\) | 2.62014e33i | 0.0466555i | ||||||||
\(376\) | −6.47258e34 | + | 1.44885e34i | −1.11184 | + | 0.248878i | ||||
\(377\) | − | 7.06283e33i | − | 0.117050i | ||||||
\(378\) | 2.08282e34 | − | 7.25551e33i | 0.333053 | − | 0.116019i | ||||
\(379\) | 1.01154e34 | − | 1.01154e34i | 0.156082 | − | 0.156082i | −0.624746 | − | 0.780828i | \(-0.714797\pi\) |
0.780828 | + | 0.624746i | \(0.214797\pi\) | |||||||
\(380\) | 1.44557e33 | + | 1.82310e33i | 0.0215259 | + | 0.0271477i | ||||
\(381\) | 1.28805e33 | + | 1.28805e33i | 0.0185116 | + | 0.0185116i | ||||
\(382\) | 3.06002e34 | − | 6.33159e34i | 0.424492 | − | 0.878329i | ||||
\(383\) | 5.14162e34 | 0.688520 | 0.344260 | − | 0.938874i | \(-0.388130\pi\) | ||||
0.344260 | + | 0.938874i | \(0.388130\pi\) | |||||||
\(384\) | 9.32145e33 | − | 9.14112e33i | 0.120507 | − | 0.118176i | ||||
\(385\) | −3.90093e33 | −0.0486909 | ||||||||
\(386\) | 6.46456e34 | − | 1.33760e35i | 0.779130 | − | 1.61212i | ||||
\(387\) | 9.63150e34 | + | 9.63150e34i | 1.12097 | + | 1.12097i | ||||
\(388\) | −1.54065e33 | − | 1.94301e33i | −0.0173171 | − | 0.0218397i | ||||
\(389\) | 1.04864e34 | − | 1.04864e34i | 0.113843 | − | 0.113843i | −0.647890 | − | 0.761734i | \(-0.724348\pi\) |
0.761734 | + | 0.647890i | \(0.224348\pi\) | |||||||
\(390\) | 1.14410e33 | − | 3.98548e32i | 0.0119976 | − | 0.00417935i | ||||
\(391\) | 3.72534e34i | 0.377381i | ||||||||
\(392\) | −1.22993e34 | + | 2.75313e33i | −0.120370 | + | 0.0269441i | ||||
\(393\) | − | 6.38741e32i | − | 0.00603984i | ||||||
\(394\) | −5.20686e34 | − | 1.49472e35i | −0.475748 | − | 1.36572i | ||||
\(395\) | −9.79020e33 | + | 9.79020e33i | −0.0864432 | + | 0.0864432i | ||||
\(396\) | −4.29963e33 | + | 3.72263e34i | −0.0366899 | + | 0.317661i | ||||
\(397\) | −1.24235e35 | − | 1.24235e35i | −1.02464 | − | 1.02464i | −0.999689 | − | 0.0249500i | \(-0.992057\pi\) |
−0.0249500 | − | 0.999689i | \(-0.507943\pi\) | |||||||
\(398\) | −5.66738e34 | − | 2.73901e34i | −0.451815 | − | 0.218360i | ||||
\(399\) | 5.76205e33 | 0.0444061 | ||||||||
\(400\) | −1.28138e35 | − | 3.00001e34i | −0.954703 | − | 0.223518i | ||||
\(401\) | 1.20822e35 | 0.870359 | 0.435180 | − | 0.900344i | \(-0.356685\pi\) | ||||
0.435180 | + | 0.900344i | \(0.356685\pi\) | |||||||
\(402\) | −1.34973e34 | − | 6.52318e33i | −0.0940146 | − | 0.0454368i | ||||
\(403\) | 5.53625e34 | + | 5.53625e34i | 0.372904 | + | 0.372904i | ||||
\(404\) | −2.70676e35 | − | 3.12631e34i | −1.76320 | − | 0.203650i | ||||
\(405\) | 1.43388e34 | − | 1.43388e34i | 0.0903376 | − | 0.0903376i | ||||
\(406\) | −1.24175e34 | − | 3.56467e34i | −0.0756717 | − | 0.217229i | ||||
\(407\) | − | 3.90744e34i | − | 0.230339i | ||||||
\(408\) | −1.52181e34 | − | 9.65127e33i | −0.0867859 | − | 0.0550392i | ||||
\(409\) | − | 2.18216e35i | − | 1.20398i | −0.798502 | − | 0.601992i | \(-0.794374\pi\) | ||
0.798502 | − | 0.601992i | \(-0.205626\pi\) | |||||||
\(410\) | −4.09485e33 | + | 1.42644e33i | −0.0218603 | + | 0.00761502i | ||||
\(411\) | −1.62919e34 | + | 1.62919e34i | −0.0841601 | + | 0.0841601i | ||||
\(412\) | 4.37645e34 | − | 3.47017e34i | 0.218781 | − | 0.173476i | ||||
\(413\) | 6.80867e34 | + | 6.80867e34i | 0.329410 | + | 0.329410i | ||||
\(414\) | −5.59543e34 | + | 1.15777e35i | −0.262017 | + | 0.542147i | ||||
\(415\) | 4.39922e34 | 0.199401 | ||||||||
\(416\) | 1.29095e34 | + | 1.22234e35i | 0.0566434 | + | 0.536329i | ||||
\(417\) | 5.05992e34 | 0.214935 | ||||||||
\(418\) | −8.64494e33 | + | 1.78875e34i | −0.0355535 | + | 0.0735649i | ||||
\(419\) | 1.06185e35 | + | 1.06185e35i | 0.422839 | + | 0.422839i | 0.886180 | − | 0.463341i | \(-0.153349\pi\) |
−0.463341 | + | 0.886180i | \(0.653349\pi\) | |||||||
\(420\) | 5.07368e33 | − | 4.02301e33i | 0.0195640 | − | 0.0155127i | ||||
\(421\) | 1.59527e34 | − | 1.59527e34i | 0.0595699 | − | 0.0595699i | −0.676694 | − | 0.736264i | \(-0.736588\pi\) |
0.736264 | + | 0.676694i | \(0.236588\pi\) | |||||||
\(422\) | 1.66539e35 | − | 5.80139e34i | 0.602280 | − | 0.209804i | ||||
\(423\) | 3.16011e35i | 1.10690i | ||||||||
\(424\) | 1.24715e35 | − | 1.96650e35i | 0.423135 | − | 0.667199i | ||||
\(425\) | 1.81650e35i | 0.597014i | ||||||||
\(426\) | −6.57055e33 | − | 1.88619e34i | −0.0209205 | − | 0.0600560i | ||||
\(427\) | −7.31841e34 | + | 7.31841e34i | −0.225757 | + | 0.225757i | ||||
\(428\) | −3.04242e35 | − | 3.51399e34i | −0.909344 | − | 0.105029i | ||||
\(429\) | 7.31507e33 | + | 7.31507e33i | 0.0211858 | + | 0.0211858i | ||||
\(430\) | 7.30636e34 | + | 3.53112e34i | 0.205058 | + | 0.0991035i | ||||
\(431\) | 1.75558e35 | 0.477504 | 0.238752 | − | 0.971081i | \(-0.423262\pi\) | ||||
0.238752 | + | 0.971081i | \(0.423262\pi\) | |||||||
\(432\) | −6.65599e34 | − | 1.07254e35i | −0.175462 | − | 0.282736i | ||||
\(433\) | −5.02623e35 | −1.28427 | −0.642134 | − | 0.766592i | \(-0.721951\pi\) | ||||
−0.642134 | + | 0.766592i | \(0.721951\pi\) | |||||||
\(434\) | 3.76755e35 | + | 1.82084e35i | 0.933141 | + | 0.450982i | ||||
\(435\) | 1.50572e33 | + | 1.50572e33i | 0.00361526 | + | 0.00361526i | ||||
\(436\) | 1.91388e33 | − | 1.65704e34i | 0.00445500 | − | 0.0385714i | ||||
\(437\) | −4.82053e34 | + | 4.82053e34i | −0.108792 | + | 0.108792i | ||||
\(438\) | −2.17218e34 | − | 6.23562e34i | −0.0475330 | − | 0.136452i | ||||
\(439\) | − | 2.07452e35i | − | 0.440196i | −0.975478 | − | 0.220098i | \(-0.929362\pi\) | ||
0.975478 | − | 0.220098i | \(-0.0706377\pi\) | |||||||
\(440\) | 4.87674e33 | + | 2.17864e34i | 0.0100350 | + | 0.0448305i | ||||
\(441\) | 6.00490e34i | 0.119835i | ||||||||
\(442\) | 1.60213e35 | − | 5.58103e34i | 0.310097 | − | 0.108022i | ||||
\(443\) | 1.45875e35 | − | 1.45875e35i | 0.273861 | − | 0.273861i | −0.556792 | − | 0.830652i | \(-0.687968\pi\) |
0.830652 | + | 0.556792i | \(0.187968\pi\) | |||||||
\(444\) | 4.02973e34 | + | 5.08215e34i | 0.0733847 | + | 0.0925502i | ||||
\(445\) | 7.22297e34 | + | 7.22297e34i | 0.127601 | + | 0.127601i | ||||
\(446\) | 7.83418e34 | − | 1.62099e35i | 0.134268 | − | 0.277818i | ||||
\(447\) | 7.30716e34 | 0.121506 | ||||||||
\(448\) | 2.80061e35 | + | 5.94227e35i | 0.451855 | + | 0.958737i | ||||
\(449\) | −1.58886e35 | −0.248749 | −0.124374 | − | 0.992235i | \(-0.539692\pi\) | ||||
−0.124374 | + | 0.992235i | \(0.539692\pi\) | |||||||
\(450\) | −2.72837e35 | + | 5.64535e35i | −0.414509 | + | 0.857674i | ||||
\(451\) | −2.61813e34 | − | 2.61813e34i | −0.0386018 | − | 0.0386018i | ||||
\(452\) | 6.70307e35 | + | 8.45368e35i | 0.959191 | + | 1.20970i | ||||
\(453\) | −1.40028e35 | + | 1.40028e35i | −0.194487 | + | 0.194487i | ||||
\(454\) | −5.89542e35 | + | 2.05367e35i | −0.794805 | + | 0.276870i | ||||
\(455\) | 6.09604e34i | 0.0797800i | ||||||||
\(456\) | −7.20343e33 | − | 3.21806e34i | −0.00915196 | − | 0.0408855i | ||||
\(457\) | − | 4.37733e35i | − | 0.539934i | −0.962870 | − | 0.269967i | \(-0.912987\pi\) | ||
0.962870 | − | 0.269967i | \(-0.0870129\pi\) | |||||||
\(458\) | 1.40244e35 | + | 4.02597e35i | 0.167958 | + | 0.482154i | ||||
\(459\) | −1.23200e35 | + | 1.23200e35i | −0.143265 | + | 0.143265i | ||||
\(460\) | −8.78988e33 | + | 7.61029e34i | −0.00992550 | + | 0.0859351i | ||||
\(461\) | 5.18659e35 | + | 5.18659e35i | 0.568747 | + | 0.568747i | 0.931777 | − | 0.363030i | \(-0.118258\pi\) |
−0.363030 | + | 0.931777i | \(0.618258\pi\) | |||||||
\(462\) | 4.97808e34 | + | 2.40588e34i | 0.0530145 | + | 0.0256216i | ||||
\(463\) | −1.07568e36 | −1.11260 | −0.556300 | − | 0.830982i | \(-0.687779\pi\) | ||||
−0.556300 | + | 0.830982i | \(0.687779\pi\) | |||||||
\(464\) | −1.83560e35 | + | 1.13915e35i | −0.184411 | + | 0.114442i | ||||
\(465\) | −2.36054e34 | −0.0230354 | ||||||||
\(466\) | −1.83567e35 | − | 8.87171e34i | −0.174014 | − | 0.0841003i | ||||
\(467\) | −1.42282e36 | − | 1.42282e36i | −1.31030 | − | 1.31030i | −0.921190 | − | 0.389113i | \(-0.872782\pi\) |
−0.389113 | − | 0.921190i | \(-0.627218\pi\) | |||||||
\(468\) | 5.81741e35 | + | 6.71910e34i | 0.520488 | + | 0.0601163i | ||||
\(469\) | 5.33368e35 | − | 5.33368e35i | 0.463654 | − | 0.463654i | ||||
\(470\) | 6.19329e34 | + | 1.77790e35i | 0.0523119 | + | 0.150171i | ||||
\(471\) | 2.73107e35i | 0.224156i | ||||||||
\(472\) | 2.95140e35 | − | 4.65378e35i | 0.235403 | − | 0.371183i | ||||
\(473\) | 6.92918e35i | 0.537101i | ||||||||
\(474\) | 1.85316e35 | − | 6.45548e34i | 0.139606 | − | 0.0486319i | ||||
\(475\) | −2.35052e35 | + | 2.35052e35i | −0.172108 | + | 0.172108i | ||||
\(476\) | 7.10487e35 | − | 5.63358e35i | 0.505664 | − | 0.400951i | ||||
\(477\) | −7.84499e35 | − | 7.84499e35i | −0.542743 | − | 0.542743i | ||||
\(478\) | −2.15564e35 | + | 4.46030e35i | −0.144977 | + | 0.299977i | ||||
\(479\) | −1.77534e36 | −1.16079 | −0.580394 | − | 0.814336i | \(-0.697101\pi\) | ||||
−0.580394 | + | 0.814336i | \(0.697101\pi\) | |||||||
\(480\) | −2.88111e34 | − | 2.33068e34i | −0.0183148 | − | 0.0148158i | ||||
\(481\) | −6.10622e35 | −0.377410 | ||||||||
\(482\) | 3.88635e35 | − | 8.04137e35i | 0.233565 | − | 0.483276i | ||||
\(483\) | 1.34155e35 | + | 1.34155e35i | 0.0784008 | + | 0.0784008i | ||||
\(484\) | 1.22939e36 | − | 9.74804e35i | 0.698677 | − | 0.553994i | ||||
\(485\) | −4.97697e33 | + | 4.97697e33i | −0.00275075 | + | 0.00275075i | ||||
\(486\) | −8.55997e35 | + | 2.98186e35i | −0.460132 | + | 0.160287i | ||||
\(487\) | − | 3.44720e36i | − | 1.80229i | −0.433515 | − | 0.901146i | \(-0.642727\pi\) | ||
0.433515 | − | 0.901146i | \(-0.357273\pi\) | |||||||
\(488\) | 5.00219e35 | + | 3.17237e35i | 0.254386 | + | 0.161330i | ||||
\(489\) | 3.38651e35i | 0.167526i | ||||||||
\(490\) | 1.17686e34 | + | 3.37839e34i | 0.00566342 | + | 0.0162578i | ||||
\(491\) | 1.23849e36 | − | 1.23849e36i | 0.579819 | − | 0.579819i | −0.355034 | − | 0.934853i | \(-0.615531\pi\) |
0.934853 | + | 0.355034i | \(0.115531\pi\) | |||||||
\(492\) | 6.10529e34 | + | 7.05161e33i | 0.0278085 | + | 0.00321188i | ||||
\(493\) | 2.10852e35 | + | 2.10852e35i | 0.0934424 | + | 0.0934424i | ||||
\(494\) | 2.79531e35 | + | 1.35096e35i | 0.120536 | + | 0.0582544i | ||||
\(495\) | 1.06368e35 | 0.0446313 | ||||||||
\(496\) | 5.45923e35 | − | 2.33178e36i | 0.222910 | − | 0.952105i | ||||
\(497\) | 1.00501e36 | 0.399354 | ||||||||
\(498\) | −5.61396e35 | − | 2.71320e35i | −0.217107 | − | 0.104927i | ||||
\(499\) | −1.72024e35 | − | 1.72024e35i | −0.0647488 | − | 0.0647488i | 0.673991 | − | 0.738740i | \(-0.264579\pi\) |
−0.738740 | + | 0.673991i | \(0.764579\pi\) | |||||||
\(500\) | −8.65715e34 | + | 7.49538e35i | −0.0317161 | + | 0.274599i | ||||
\(501\) | −2.94486e34 | + | 2.94486e34i | −0.0105016 | + | 0.0105016i | ||||
\(502\) | 7.20332e35 | + | 2.06784e36i | 0.250053 | + | 0.717823i | ||||
\(503\) | − | 5.63157e36i | − | 1.90310i | −0.307494 | − | 0.951550i | \(-0.599490\pi\) | ||
0.307494 | − | 0.951550i | \(-0.400510\pi\) | |||||||
\(504\) | 3.05423e36 | − | 6.83670e35i | 1.00482 | − | 0.224923i | ||||
\(505\) | 7.73410e35i | 0.247729i | ||||||||
\(506\) | −6.17742e35 | + | 2.15190e35i | −0.192653 | + | 0.0671105i | ||||
\(507\) | −2.78710e35 | + | 2.78710e35i | −0.0846341 | + | 0.0846341i | ||||
\(508\) | 3.25910e35 | + | 4.11026e35i | 0.0963691 | + | 0.121537i | ||||
\(509\) | 2.78787e36 | + | 2.78787e36i | 0.802754 | + | 0.802754i | 0.983525 | − | 0.180771i | \(-0.0578593\pi\) |
−0.180771 | + | 0.983525i | \(0.557859\pi\) | |||||||
\(510\) | −2.22576e34 | + | 4.60539e34i | −0.00624138 | + | 0.0129142i | ||||
\(511\) | 3.32248e36 | 0.907362 | ||||||||
\(512\) | 2.96860e36 | − | 2.30699e36i | 0.789599 | − | 0.613623i | ||||
\(513\) | −3.18838e35 | −0.0826010 | ||||||||
\(514\) | −6.93628e35 | + | 1.43521e36i | −0.175035 | + | 0.362170i | ||||
\(515\) | −1.12102e35 | − | 1.12102e35i | −0.0275559 | − | 0.0275559i | ||||
\(516\) | −7.14604e35 | − | 9.01232e35i | −0.171117 | − | 0.215807i | ||||
\(517\) | −1.13674e36 | + | 1.13674e36i | −0.265178 | + | 0.265178i | ||||
\(518\) | −3.08186e36 | + | 1.07357e36i | −0.700424 | + | 0.243993i | ||||
\(519\) | 2.98070e35i | 0.0660022i | ||||||||
\(520\) | 3.40459e35 | − | 7.62097e34i | 0.0734548 | − | 0.0164424i | ||||
\(521\) | 3.93661e36i | 0.827586i | 0.910371 | + | 0.413793i | \(0.135796\pi\) | ||||
−0.910371 | + | 0.413793i | \(0.864204\pi\) | |||||||
\(522\) | 3.38592e35 | + | 9.71988e35i | 0.0693625 | + | 0.199117i | ||||
\(523\) | −4.43031e36 | + | 4.43031e36i | −0.884426 | + | 0.884426i | −0.993981 | − | 0.109555i | \(-0.965058\pi\) |
0.109555 | + | 0.993981i | \(0.465058\pi\) | |||||||
\(524\) | 2.11045e34 | − | 1.82723e35i | 0.00410585 | − | 0.0355485i | ||||
\(525\) | 6.54148e35 | + | 6.54148e35i | 0.124030 | + | 0.124030i | ||||
\(526\) | −7.31587e36 | − | 3.53572e36i | −1.35194 | − | 0.653387i | ||||
\(527\) | −3.30555e36 | −0.595389 | ||||||||
\(528\) | 7.21331e34 | − | 3.08099e35i | 0.0126642 | − | 0.0540919i | ||||
\(529\) | 3.59853e36 | 0.615848 | ||||||||
\(530\) | −5.95113e35 | − | 2.87615e35i | −0.0992831 | − | 0.0479830i | ||||
\(531\) | −1.85654e36 | − | 1.85654e36i | −0.301945 | − | 0.301945i | ||||
\(532\) | 1.64834e36 | + | 1.90383e35i | 0.261360 | + | 0.0301870i | ||||
\(533\) | −4.09139e35 | + | 4.09139e35i | −0.0632490 | + | 0.0632490i | ||||
\(534\) | −4.76269e35 | − | 1.36722e36i | −0.0717870 | − | 0.206077i | ||||
\(535\) | 8.69318e35i | 0.127762i | ||||||||
\(536\) | −3.64561e36 | − | 2.31203e36i | −0.522451 | − | 0.331336i | ||||
\(537\) | 1.29992e36i | 0.181661i | ||||||||
\(538\) | −9.85535e36 | + | 3.43311e36i | −1.34311 | + | 0.467872i | ||||
\(539\) | −2.16005e35 | + | 2.16005e35i | −0.0287088 | + | 0.0287088i | ||||
\(540\) | −2.80747e35 | + | 2.22610e35i | −0.0363915 | + | 0.0288555i | ||||
\(541\) | 1.06990e37 | + | 1.06990e37i | 1.35264 | + | 1.35264i | 0.882701 | + | 0.469936i | \(0.155723\pi\) |
0.469936 | + | 0.882701i | \(0.344277\pi\) | |||||||
\(542\) | −3.81340e36 | + | 7.89043e36i | −0.470243 | + | 0.972994i | ||||
\(543\) | −1.99566e36 | −0.240042 | ||||||||
\(544\) | −4.03453e36 | − | 3.26374e36i | −0.473378 | − | 0.382939i | ||||
\(545\) | −4.73471e34 | −0.00541926 | ||||||||
\(546\) | 3.75971e35 | − | 7.77932e35i | 0.0419810 | − | 0.0868643i | ||||
\(547\) | 3.51189e36 | + | 3.51189e36i | 0.382571 | + | 0.382571i | 0.872028 | − | 0.489456i | \(-0.162805\pi\) |
−0.489456 | + | 0.872028i | \(0.662805\pi\) | |||||||
\(548\) | −5.19888e36 | + | 4.12228e36i | −0.552550 | + | 0.438127i | ||||
\(549\) | 1.99553e36 | − | 1.99553e36i | 0.206934 | − | 0.206934i | ||||
\(550\) | −3.01215e36 | + | 1.04928e36i | −0.304775 | + | 0.106168i | ||||
\(551\) | 5.45678e35i | 0.0538753i | ||||||||
\(552\) | 5.81531e35 | − | 9.16959e35i | 0.0560268 | − | 0.0883430i | ||||
\(553\) | 9.87406e36i | 0.928338i | ||||||||
\(554\) | 1.03552e36 | + | 2.97265e36i | 0.0950118 | + | 0.272748i | ||||
\(555\) | 1.30178e35 | − | 1.30178e35i | 0.0116569 | − | 0.0116569i | ||||
\(556\) | 1.44748e37 | + | 1.67184e36i | 1.26503 | + | 0.146111i | ||||
\(557\) | 5.37536e36 | + | 5.37536e36i | 0.458525 | + | 0.458525i | 0.898171 | − | 0.439646i | \(-0.144896\pi\) |
−0.439646 | + | 0.898171i | \(0.644896\pi\) | |||||||
\(558\) | −1.02731e37 | − | 4.96492e36i | −0.855339 | − | 0.413381i | ||||
\(559\) | 1.08283e37 | 0.880040 | ||||||||
\(560\) | 1.58434e36 | − | 9.83216e35i | 0.125693 | − | 0.0780028i | ||||
\(561\) | −4.36764e35 | −0.0338258 | ||||||||
\(562\) | 9.55662e36 | + | 4.61866e36i | 0.722544 | + | 0.349202i | ||||
\(563\) | 4.56503e36 | + | 4.56503e36i | 0.336962 | + | 0.336962i | 0.855223 | − | 0.518261i | \(-0.173420\pi\) |
−0.518261 | + | 0.855223i | \(0.673420\pi\) | |||||||
\(564\) | 3.06166e35 | − | 2.65079e36i | 0.0220642 | − | 0.191032i | ||||
\(565\) | 2.16539e36 | − | 2.16539e36i | 0.152364 | − | 0.152364i | ||||
\(566\) | −3.74267e36 | − | 1.07440e37i | −0.257134 | − | 0.738149i | ||||
\(567\) | − | 1.44616e37i | − | 0.970162i | ||||||
\(568\) | −1.25641e36 | − | 5.61289e36i | −0.0823054 | − | 0.367692i | ||||
\(569\) | 9.92659e36i | 0.635016i | 0.948256 | + | 0.317508i | \(0.102846\pi\) | ||||
−0.948256 | + | 0.317508i | \(0.897154\pi\) | |||||||
\(570\) | −8.83941e34 | + | 3.07920e34i | −0.00552220 | + | 0.00192366i | ||||
\(571\) | 1.08491e37 | − | 1.08491e37i | 0.661921 | − | 0.661921i | −0.293911 | − | 0.955833i | \(-0.594957\pi\) |
0.955833 | + | 0.293911i | \(0.0949570\pi\) | |||||||
\(572\) | 1.85091e36 | + | 2.33430e36i | 0.110291 | + | 0.139095i | ||||
\(573\) | 2.00050e36 | + | 2.00050e36i | 0.116426 | + | 0.116426i | ||||
\(574\) | −1.34563e36 | + | 2.78429e36i | −0.0764919 | + | 0.158272i | ||||
\(575\) | −1.09452e37 | −0.607726 | ||||||||
\(576\) | −7.63649e36 | − | 1.62029e37i | −0.414181 | − | 0.878801i | ||||
\(577\) | −2.35051e37 | −1.24534 | −0.622670 | − | 0.782485i | \(-0.713952\pi\) | ||||
−0.622670 | + | 0.782485i | \(0.713952\pi\) | |||||||
\(578\) | 5.29046e36 | − | 1.09466e37i | 0.273821 | − | 0.566572i | ||||
\(579\) | 4.22623e36 | + | 4.22623e36i | 0.213694 | + | 0.213694i | ||||
\(580\) | 3.80988e35 | + | 4.80488e35i | 0.0188206 | + | 0.0237358i | ||||
\(581\) | 2.21845e37 | − | 2.21845e37i | 1.07071 | − | 1.07071i | ||||
\(582\) | 9.42076e34 | − | 3.28172e34i | 0.00444248 | − | 0.00154754i | ||||
\(583\) | − | 5.64391e36i | − | 0.260049i | ||||||
\(584\) | −4.15360e36 | − | 1.85558e37i | −0.187004 | − | 0.835423i | ||||
\(585\) | − | 1.66222e36i | − | 0.0731283i | ||||||
\(586\) | −1.27645e36 | − | 3.66426e36i | −0.0548763 | − | 0.157532i | ||||
\(587\) | −5.43774e36 | + | 5.43774e36i | −0.228457 | + | 0.228457i | −0.812048 | − | 0.583591i | \(-0.801647\pi\) |
0.583591 | + | 0.812048i | \(0.301647\pi\) | |||||||
\(588\) | 5.81782e34 | − | 5.03708e35i | 0.00238873 | − | 0.0206816i | ||||
\(589\) | −4.27734e36 | − | 4.27734e36i | −0.171639 | − | 0.171639i | ||||
\(590\) | −1.40835e36 | − | 6.80648e35i | −0.0552342 | − | 0.0266944i | ||||
\(591\) | 6.36779e36 | 0.244094 | ||||||||
\(592\) | 9.84857e36 | + | 1.58698e37i | 0.369003 | + | 0.594606i | ||||
\(593\) | −1.08949e37 | −0.399012 | −0.199506 | − | 0.979897i | \(-0.563934\pi\) | ||||
−0.199506 | + | 0.979897i | \(0.563934\pi\) | |||||||
\(594\) | −2.75457e36 | − | 1.33127e36i | −0.0986137 | − | 0.0476595i | ||||
\(595\) | −1.81990e36 | − | 1.81990e36i | −0.0636894 | − | 0.0636894i | ||||
\(596\) | 2.09034e37 | + | 2.41434e36i | 0.715143 | + | 0.0825990i | ||||
\(597\) | 1.79064e36 | − | 1.79064e36i | 0.0598900 | − | 0.0598900i | ||||
\(598\) | 3.36281e36 | + | 9.65355e36i | 0.109960 | + | 0.315661i | ||||
\(599\) | − | 2.67698e37i | − | 0.855820i | −0.903821 | − | 0.427910i | \(-0.859250\pi\) | ||
0.903821 | − | 0.427910i | \(-0.140750\pi\) | |||||||
\(600\) | 2.83558e36 | − | 4.47115e36i | 0.0886340 | − | 0.139758i | ||||
\(601\) | − | 2.29702e37i | − | 0.702037i | −0.936368 | − | 0.351019i | \(-0.885835\pi\) | ||
0.936368 | − | 0.351019i | \(-0.114165\pi\) | |||||||
\(602\) | 5.46515e37 | − | 1.90378e37i | 1.63324 | − | 0.568938i | ||||
\(603\) | −1.45435e37 | + | 1.45435e37i | −0.424996 | + | 0.424996i | ||||
\(604\) | −4.46842e37 | + | 3.54309e37i | −1.27689 | + | 1.01247i | ||||
\(605\) | −3.14905e36 | − | 3.14905e36i | −0.0879997 | − | 0.0879997i | ||||
\(606\) | 4.76997e36 | − | 9.86970e36i | 0.130357 | − | 0.269726i | ||||
\(607\) | −4.92115e37 | −1.31528 | −0.657642 | − | 0.753331i | \(-0.728446\pi\) | ||||
−0.657642 | + | 0.753331i | \(0.728446\pi\) | |||||||
\(608\) | −9.97395e35 | − | 9.44385e36i | −0.0260717 | − | 0.246860i | ||||
\(609\) | 1.51862e36 | 0.0388253 | ||||||||
\(610\) | 7.31606e35 | − | 1.51379e36i | 0.0182947 | − | 0.0378541i | ||||
\(611\) | 1.77639e37 | + | 1.77639e37i | 0.434493 | + | 0.434493i | ||||
\(612\) | −1.93730e37 | + | 1.53612e37i | −0.463504 | + | 0.367521i | ||||
\(613\) | −4.48554e36 | + | 4.48554e36i | −0.104978 | + | 0.104978i | −0.757645 | − | 0.652667i | \(-0.773650\pi\) |
0.652667 | + | 0.757645i | \(0.273650\pi\) | |||||||
\(614\) | −4.28785e37 | + | 1.49367e37i | −0.981671 | + | 0.341965i | ||||
\(615\) | − | 1.74448e35i | − | 0.00390708i | ||||||
\(616\) | 1.34458e37 | + | 8.52724e36i | 0.294609 | + | 0.186840i | ||||
\(617\) | − | 7.12796e37i | − | 1.52797i | −0.645232 | − | 0.763987i | \(-0.723239\pi\) | ||
0.645232 | − | 0.763987i | \(-0.276761\pi\) | |||||||
\(618\) | 7.39178e35 | + | 2.12194e36i | 0.0155026 | + | 0.0445030i | ||||
\(619\) | −6.68210e37 | + | 6.68210e37i | −1.37116 | + | 1.37116i | −0.512439 | + | 0.858723i | \(0.671258\pi\) |
−0.858723 | + | 0.512439i | \(0.828742\pi\) | |||||||
\(620\) | −6.75273e36 | − | 7.79940e35i | −0.135579 | − | 0.0156593i | ||||
\(621\) | −7.42333e36 | − | 7.42333e36i | −0.145835 | − | 0.145835i | ||||
\(622\) | 2.57426e37 | + | 1.24413e37i | 0.494861 | + | 0.239164i | ||||
\(623\) | 7.28484e37 | 1.37035 | ||||||||
\(624\) | −4.81471e36 | − | 1.12724e36i | −0.0886295 | − | 0.0207502i | ||||
\(625\) | −5.22881e37 | −0.941939 | ||||||||
\(626\) | 4.73216e37 | + | 2.28703e37i | 0.834269 | + | 0.403198i | ||||
\(627\) | −5.65166e35 | − | 5.65166e35i | −0.00975134 | − | 0.00975134i | ||||
\(628\) | −9.02367e36 | + | 7.81271e37i | −0.152380 | + | 1.31931i | ||||
\(629\) | 1.82293e37 | − | 1.82293e37i | 0.301292 | − | 0.301292i | ||||
\(630\) | −2.92244e36 | − | 8.38938e36i | −0.0472768 | − | 0.135716i | ||||
\(631\) | − | 7.29155e37i | − | 1.15458i | −0.816540 | − | 0.577289i | \(-0.804111\pi\) | ||
0.816540 | − | 0.577289i | \(-0.195889\pi\) | |||||||
\(632\) | 5.51459e37 | − | 1.23441e37i | 0.854737 | − | 0.191327i | ||||
\(633\) | 7.09488e36i | 0.107645i | ||||||||
\(634\) | 1.01677e38 | − | 3.54193e37i | 1.51015 | − | 0.526060i | ||||
\(635\) | 1.05283e36 | − | 1.05283e36i | 0.0153079 | − | 0.0153079i | ||||
\(636\) | 5.82055e36 | + | 7.34067e36i | 0.0828500 | + | 0.104488i | ||||
\(637\) | 3.37554e36 | + | 3.37554e36i | 0.0470393 | + | 0.0470393i | ||||
\(638\) | −2.27842e36 | + | 4.71434e36i | −0.0310852 | + | 0.0643194i | ||||
\(639\) | −2.74038e37 | −0.366057 | ||||||||
\(640\) | −7.47185e36 | − | 7.61925e36i | −0.0977233 | − | 0.0996512i | ||||
\(641\) | −1.48409e38 | −1.90054 | −0.950272 | − | 0.311422i | \(-0.899195\pi\) | ||||
−0.950272 | + | 0.311422i | \(0.899195\pi\) | |||||||
\(642\) | 5.36148e36 | − | 1.10936e37i | 0.0672298 | − | 0.139107i | ||||
\(643\) | 9.72315e37 | + | 9.72315e37i | 1.19387 | + | 1.19387i | 0.975970 | + | 0.217905i | \(0.0699223\pi\) |
0.217905 | + | 0.975970i | \(0.430078\pi\) | |||||||
\(644\) | 3.39448e37 | + | 4.28100e37i | 0.408145 | + | 0.514737i | ||||
\(645\) | −2.30848e36 | + | 2.30848e36i | −0.0271813 | + | 0.0271813i | ||||
\(646\) | −1.23782e37 | + | 4.31193e36i | −0.142731 | + | 0.0497202i | ||||
\(647\) | 1.26136e37i | 0.142439i | 0.997461 | + | 0.0712197i | \(0.0226892\pi\) | ||||
−0.997461 | + | 0.0712197i | \(0.977311\pi\) | |||||||
\(648\) | −8.07668e37 | + | 1.80791e37i | −0.893244 | + | 0.199947i | ||||
\(649\) | − | 1.33565e37i | − | 0.144673i | ||||||
\(650\) | 1.63973e37 | + | 4.70713e37i | 0.173957 | + | 0.499374i | ||||
\(651\) | −1.19038e37 | + | 1.19038e37i | −0.123692 | + | 0.123692i | ||||
\(652\) | −1.11893e37 | + | 9.68771e37i | −0.113883 | + | 0.986004i | ||||
\(653\) | −3.28457e36 | − | 3.28457e36i | −0.0327455 | − | 0.0327455i | 0.690544 | − | 0.723290i | \(-0.257371\pi\) |
−0.723290 | + | 0.690544i | \(0.757371\pi\) | |||||||
\(654\) | 6.04209e35 | + | 2.92011e35i | 0.00590048 | + | 0.00285167i | ||||
\(655\) | −5.22099e35 | −0.00499454 | ||||||||
\(656\) | 1.72323e37 | + | 4.03447e36i | 0.161488 | + | 0.0378081i | ||||
\(657\) | −9.05949e37 | −0.831709 | ||||||||
\(658\) | 1.20888e38 | + | 5.84245e37i | 1.08726 | + | 0.525467i | ||||
\(659\) | 1.21892e38 | + | 1.21892e38i | 1.07404 | + | 1.07404i | 0.997030 | + | 0.0770134i | \(0.0245384\pi\) |
0.0770134 | + | 0.997030i | \(0.475462\pi\) | |||||||
\(660\) | −8.92242e35 | − | 1.03054e35i | −0.00770264 | − | 0.000889654i | ||||
\(661\) | 7.61509e37 | − | 7.61509e37i | 0.644103 | − | 0.644103i | −0.307459 | − | 0.951561i | \(-0.599479\pi\) |
0.951561 | + | 0.307459i | \(0.0994785\pi\) | |||||||
\(662\) | 8.92696e36 | + | 2.56264e37i | 0.0739811 | + | 0.212376i | ||||
\(663\) | 6.82538e36i | 0.0554236i | ||||||||
\(664\) | −1.51633e38 | − | 9.61648e37i | −1.20649 | − | 0.765151i | ||||
\(665\) | − | 4.70984e36i | − | 0.0367209i | ||||||
\(666\) | 8.40339e37 | − | 2.92732e37i | 0.642025 | − | 0.223649i | ||||
\(667\) | −1.27047e37 | + | 1.27047e37i | −0.0951189 | + | 0.0951189i | ||||
\(668\) | −9.39729e36 | + | 7.45128e36i | −0.0689478 | + | 0.0546700i | ||||
\(669\) | 5.12162e36 | + | 5.12162e36i | 0.0368260 | + | 0.0368260i | ||||
\(670\) | −5.33197e36 | + | 1.10325e37i | −0.0375732 | + | 0.0777438i | ||||
\(671\) | 1.43564e37 | 0.0991498 | ||||||||
\(672\) | −2.62821e37 | + | 2.77574e36i | −0.177900 | + | 0.0187886i | ||||
\(673\) | −1.93876e38 | −1.28624 | −0.643118 | − | 0.765767i | \(-0.722360\pi\) | ||||
−0.643118 | + | 0.765767i | \(0.722360\pi\) | |||||||
\(674\) | 3.63665e37 | − | 7.52470e37i | 0.236479 | − | 0.489306i | ||||
\(675\) | −3.61966e37 | − | 3.61966e37i | −0.230711 | − | 0.230711i | ||||
\(676\) | −8.89387e37 | + | 7.05211e37i | −0.555662 | + | 0.440594i | ||||
\(677\) | 1.81496e38 | − | 1.81496e38i | 1.11153 | − | 1.11153i | 0.118583 | − | 0.992944i | \(-0.462165\pi\) |
0.992944 | − | 0.118583i | \(-0.0378353\pi\) | |||||||
\(678\) | −4.09880e37 | + | 1.42782e37i | −0.246069 | + | 0.0857179i | ||||
\(679\) | 5.01959e36i | 0.0295411i | ||||||||
\(680\) | −7.88884e36 | + | 1.24391e37i | −0.0455138 | + | 0.0717661i | ||||
\(681\) | − | 2.51156e37i | − | 0.142055i | ||||||
\(682\) | −1.90942e37 | − | 5.48132e37i | −0.105879 | − | 0.303946i | ||||
\(683\) | −1.46467e38 | + | 1.46467e38i | −0.796272 | + | 0.796272i | −0.982506 | − | 0.186233i | \(-0.940372\pi\) |
0.186233 | + | 0.982506i | \(0.440372\pi\) | |||||||
\(684\) | −4.49456e37 | − | 5.19121e36i | −0.239569 | − | 0.0276702i | ||||
\(685\) | 1.33168e37 | + | 1.33168e37i | 0.0695948 | + | 0.0695948i | ||||
\(686\) | −1.63259e38 | − | 7.89022e37i | −0.836568 | − | 0.404309i | ||||
\(687\) | −1.71514e37 | −0.0861753 | ||||||||
\(688\) | −1.74648e38 | − | 2.81425e38i | −0.860436 | − | 1.38649i | ||||
\(689\) | −8.81983e37 | −0.426090 | ||||||||
\(690\) | −2.77495e36 | − | 1.34112e36i | −0.0131460 | − | 0.00635337i | ||||
\(691\) | 8.84575e37 | + | 8.84575e37i | 0.410943 | + | 0.410943i | 0.882067 | − | 0.471124i | \(-0.156152\pi\) |
−0.471124 | + | 0.882067i | \(0.656152\pi\) | |||||||
\(692\) | −9.84846e36 | + | 8.52681e37i | −0.0448679 | + | 0.388467i | ||||
\(693\) | 5.36393e37 | − | 5.36393e37i | 0.239654 | − | 0.239654i | ||||
\(694\) | −1.17090e38 | − | 3.36128e38i | −0.513058 | − | 1.47283i | ||||
\(695\) | − | 4.13592e37i | − | 0.177737i | ||||||
\(696\) | −1.89850e36 | − | 8.48136e36i | −0.00800176 | − | 0.0357471i | ||||
\(697\) | − | 2.44287e37i | − | 0.100985i | ||||||
\(698\) | 1.97470e38 | − | 6.87886e37i | 0.800669 | − | 0.278913i | ||||
\(699\) | 5.79991e36 | − | 5.79991e36i | 0.0230664 | − | 0.0230664i | ||||
\(700\) | 1.65517e38 | + | 2.08744e38i | 0.645682 | + | 0.814312i | ||||
\(701\) | 2.17436e38 | + | 2.17436e38i | 0.832028 | + | 0.832028i | 0.987794 | − | 0.155766i | \(-0.0497847\pi\) |
−0.155766 | + | 0.987794i | \(0.549785\pi\) | |||||||
\(702\) | −2.08040e37 | + | 4.30462e37i | −0.0780900 | + | 0.161578i | ||||
\(703\) | 4.71770e37 | 0.173713 | ||||||||
\(704\) | 3.08148e37 | − | 8.57538e37i | 0.111308 | − | 0.309758i | ||||
\(705\) | −7.57416e36 | −0.0268399 | ||||||||
\(706\) | 1.46928e38 | − | 3.04014e38i | 0.510790 | − | 1.05689i | ||||
\(707\) | 3.90017e38 | + | 3.90017e38i | 1.33022 | + | 1.33022i | ||||
\(708\) | 1.37745e37 | + | 1.73719e37i | 0.0460920 | + | 0.0581296i | ||||
\(709\) | 2.65902e38 | − | 2.65902e38i | 0.872965 | − | 0.872965i | −0.119830 | − | 0.992794i | \(-0.538235\pi\) |
0.992794 | + | 0.119830i | \(0.0382349\pi\) | |||||||
\(710\) | −1.54175e37 | + | 5.37069e36i | −0.0496623 | + | 0.0172999i | ||||
\(711\) | − | 2.69238e38i | − | 0.850937i | ||||||
\(712\) | −9.10714e37 | − | 4.06853e38i | −0.282424 | − | 1.26170i | ||||
\(713\) | − | 1.99174e38i | − | 0.606072i | ||||||
\(714\) | 1.20001e37 | + | 3.44483e37i | 0.0358309 | + | 0.102859i | ||||
\(715\) | 5.97926e36 | − | 5.97926e36i | 0.0175193 | − | 0.0175193i | ||||
\(716\) | −4.29503e37 | + | 3.71864e38i | −0.123492 | + | 1.06920i | ||||
\(717\) | −1.40926e37 | − | 1.40926e37i | −0.0397632 | − | 0.0397632i | ||||
\(718\) | −4.97306e38 | − | 2.40346e38i | −1.37703 | − | 0.665512i | ||||
\(719\) | 5.65075e38 | 1.53556 | 0.767779 | − | 0.640715i | \(-0.221362\pi\) | ||||
0.767779 | + | 0.640715i | \(0.221362\pi\) | |||||||
\(720\) | −4.32006e37 | + | 2.68096e37i | −0.115213 | + | 0.0714992i | ||||
\(721\) | −1.13062e38 | −0.295931 | ||||||||
\(722\) | 3.28888e38 | + | 1.58950e38i | 0.844883 | + | 0.408327i | ||||
\(723\) | 2.54072e37 | + | 2.54072e37i | 0.0640603 | + | 0.0640603i | ||||
\(724\) | −5.70893e38 | − | 6.59380e37i | −1.41281 | − | 0.163179i | ||||
\(725\) | −6.19491e37 | + | 6.19491e37i | −0.150478 | + | 0.150478i | ||||
\(726\) | 2.07642e37 | + | 5.96074e37i | 0.0495075 | + | 0.142120i | ||||
\(727\) | − | 6.96433e38i | − | 1.62992i | −0.579521 | − | 0.814958i | \(-0.696760\pi\) | ||
0.579521 | − | 0.814958i | \(-0.303240\pi\) | |||||||
\(728\) | 1.33257e38 | − | 2.10119e38i | 0.306136 | − | 0.482716i | ||||
\(729\) | 3.69423e38i | 0.833110i | ||||||||
\(730\) | −5.09693e37 | + | 1.77551e37i | −0.112837 | + | 0.0393066i | ||||
\(731\) | −3.23266e38 | + | 3.23266e38i | −0.702547 | + | 0.702547i | ||||
\(732\) | −1.86724e37 | + | 1.48057e37i | −0.0398384 | + | 0.0315886i | ||||
\(733\) | 3.61307e38 | + | 3.61307e38i | 0.756784 | + | 0.756784i | 0.975736 | − | 0.218951i | \(-0.0702636\pi\) |
−0.218951 | + | 0.975736i | \(0.570264\pi\) | |||||||
\(734\) | −1.60305e38 | + | 3.31692e38i | −0.329648 | + | 0.682084i | ||||
\(735\) | −1.43926e36 | −0.00290576 | ||||||||
\(736\) | 1.96654e38 | − | 2.43098e38i | 0.389810 | − | 0.481871i | ||||
\(737\) | −1.04630e38 | −0.203632 | ||||||||
\(738\) | 3.66917e37 | − | 7.59199e37i | 0.0701143 | − | 0.145076i | ||||
\(739\) | 3.43885e38 | + | 3.43885e38i | 0.645229 | + | 0.645229i | 0.951836 | − | 0.306607i | \(-0.0991938\pi\) |
−0.306607 | + | 0.951836i | \(0.599194\pi\) | |||||||
\(740\) | 4.15409e37 | − | 3.29385e37i | 0.0765328 | − | 0.0606843i | ||||
\(741\) | −8.83195e36 | + | 8.83195e36i | −0.0159776 | + | 0.0159776i | ||||
\(742\) | −4.45145e38 |