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 | 5.5 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.28.e.a.13.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11221.9 | + | 2878.54i | −0.968641 | + | 0.248466i | ||||
\(3\) | 3.13170e6 | − | 3.13170e6i | 1.13408 | − | 1.13408i | 0.144588 | − | 0.989492i | \(-0.453814\pi\) |
0.989492 | − | 0.144588i | \(-0.0461858\pi\) | |||||||
\(4\) | 1.17646e8 | − | 6.46055e7i | 0.876529 | − | 0.481349i | ||||
\(5\) | 2.99171e9 | + | 2.99171e9i | 1.09603 | + | 1.09603i | 0.994870 | + | 0.101164i | \(0.0322565\pi\) |
0.101164 | + | 0.994870i | \(0.467743\pi\) | |||||||
\(6\) | −2.61290e10 | + | 4.41585e10i | −0.816736 | + | 1.38030i | ||||
\(7\) | 3.77678e11i | 1.47332i | 0.676262 | + | 0.736662i | \(0.263599\pi\) | ||||
−0.676262 | + | 0.736662i | \(0.736401\pi\) | |||||||
\(8\) | −1.13424e12 | + | 1.06365e12i | −0.729443 | + | 0.684042i | ||||
\(9\) | − | 1.19895e13i | − | 1.57228i | ||||||
\(10\) | −4.21845e13 | − | 2.49610e13i | −1.33399 | − | 0.789335i | ||||
\(11\) | 8.16634e13 | + | 8.16634e13i | 0.713225 | + | 0.713225i | 0.967209 | − | 0.253984i | \(-0.0817410\pi\) |
−0.253984 | + | 0.967209i | \(0.581741\pi\) | |||||||
\(12\) | 1.66106e14 | − | 5.70757e14i | 0.448167 | − | 1.53994i | ||||
\(13\) | 1.00097e15 | − | 1.00097e15i | 0.916617 | − | 0.916617i | −0.0801650 | − | 0.996782i | \(-0.525545\pi\) |
0.996782 | + | 0.0801650i | \(0.0255447\pi\) | |||||||
\(14\) | −1.08716e15 | − | 4.23828e15i | −0.366071 | − | 1.42712i | ||||
\(15\) | 1.87383e16 | 2.48598 | ||||||||
\(16\) | 9.66665e15 | − | 1.52011e16i | 0.536607 | − | 0.843832i | ||||
\(17\) | −4.15045e16 | −1.01633 | −0.508165 | − | 0.861260i | \(-0.669676\pi\) | ||||
−0.508165 | + | 0.861260i | \(0.669676\pi\) | |||||||
\(18\) | 3.45124e16 | + | 1.34546e17i | 0.390657 | + | 1.52297i | ||||
\(19\) | −6.12129e16 | + | 6.12129e16i | −0.333941 | + | 0.333941i | −0.854081 | − | 0.520140i | \(-0.825880\pi\) |
0.520140 | + | 0.854081i | \(0.325880\pi\) | |||||||
\(20\) | 5.45242e17 | + | 1.58681e17i | 1.48828 | + | 0.433131i | ||||
\(21\) | 1.18278e18 | + | 1.18278e18i | 1.67087 | + | 1.67087i | ||||
\(22\) | −1.15149e18 | − | 6.81350e17i | −0.868071 | − | 0.513646i | ||||
\(23\) | − | 2.23390e18i | − | 0.924141i | −0.886843 | − | 0.462071i | \(-0.847107\pi\) | ||
0.886843 | − | 0.462071i | \(-0.152893\pi\) | |||||||
\(24\) | −2.21088e17 | + | 6.88314e18i | −0.0514889 | + | 1.60301i | ||||
\(25\) | 1.04500e19i | 1.40258i | ||||||||
\(26\) | −8.35152e18 | + | 1.41142e19i | −0.660124 | + | 1.11562i | ||||
\(27\) | −1.36666e19 | − | 1.36666e19i | −0.649008 | − | 0.649008i | ||||
\(28\) | 2.44001e19 | + | 4.44322e19i | 0.709182 | + | 1.29141i | ||||
\(29\) | 6.99374e19 | − | 6.99374e19i | 1.26572 | − | 1.26572i | 0.317438 | − | 0.948279i | \(-0.397178\pi\) |
0.948279 | − | 0.317438i | \(-0.102822\pi\) | |||||||
\(30\) | −2.10280e20 | + | 5.39388e19i | −2.40802 | + | 0.617682i | ||||
\(31\) | 1.12013e20 | 0.823919 | 0.411960 | − | 0.911202i | \(-0.364844\pi\) | ||||
0.411960 | + | 0.911202i | \(0.364844\pi\) | |||||||
\(32\) | −6.47215e19 | + | 1.98412e20i | −0.310116 | + | 0.950699i | ||||
\(33\) | 5.11492e20 | 1.61771 | ||||||||
\(34\) | 4.65760e20 | − | 1.19472e20i | 0.984458 | − | 0.252523i | ||||
\(35\) | −1.12990e21 | + | 1.12990e21i | −1.61481 | + | 1.61481i | ||||
\(36\) | −7.74591e20 | − | 1.41052e21i | −0.756813 | − | 1.37815i | ||||
\(37\) | 7.62043e20 | + | 7.62043e20i | 0.514347 | + | 0.514347i | 0.915855 | − | 0.401509i | \(-0.131514\pi\) |
−0.401509 | + | 0.915855i | \(0.631514\pi\) | |||||||
\(38\) | 5.10724e20 | − | 8.63131e20i | 0.240496 | − | 0.406442i | ||||
\(39\) | − | 6.26951e21i | − | 2.07903i | ||||||
\(40\) | −6.57544e21 | − | 2.11205e20i | −1.54923 | − | 0.0497615i | ||||
\(41\) | 4.26521e21i | 0.720043i | 0.932944 | + | 0.360022i | \(0.117231\pi\) | ||||
−0.932944 | + | 0.360022i | \(0.882769\pi\) | |||||||
\(42\) | −1.66777e22 | − | 9.86836e21i | −2.03362 | − | 1.20332i | ||||
\(43\) | −5.47987e21 | − | 5.47987e21i | −0.486347 | − | 0.486347i | 0.420804 | − | 0.907151i | \(-0.361748\pi\) |
−0.907151 | + | 0.420804i | \(0.861748\pi\) | |||||||
\(44\) | 1.48833e22 | + | 4.33145e21i | 0.968472 | + | 0.281853i | ||||
\(45\) | 3.58692e22 | − | 3.58692e22i | 1.72327 | − | 1.72327i | ||||
\(46\) | 6.43037e21 | + | 2.50687e22i | 0.229618 | + | 0.895161i | ||||
\(47\) | −1.88547e22 | −0.503614 | −0.251807 | − | 0.967777i | \(-0.581025\pi\) | ||||
−0.251807 | + | 0.967777i | \(0.581025\pi\) | |||||||
\(48\) | −1.73323e22 | − | 7.78785e22i | −0.348418 | − | 1.56553i | ||||
\(49\) | −7.69282e22 | −1.17068 | ||||||||
\(50\) | −3.00808e22 | − | 1.17269e23i | −0.348493 | − | 1.35859i | ||||
\(51\) | −1.29980e23 | + | 1.29980e23i | −1.15260 | + | 1.15260i | ||||
\(52\) | 5.30919e22 | − | 1.82429e23i | 0.362229 | − | 1.24465i | ||||
\(53\) | 1.66919e23 | + | 1.66919e23i | 0.880607 | + | 0.880607i | 0.993596 | − | 0.112990i | \(-0.0360427\pi\) |
−0.112990 | + | 0.993596i | \(0.536043\pi\) | |||||||
\(54\) | 1.92706e23 | + | 1.14026e23i | 0.789912 | + | 0.467399i | ||||
\(55\) | 4.88626e23i | 1.56344i | ||||||||
\(56\) | −4.01716e23 | − | 4.28379e23i | −1.00781 | − | 1.07471i | ||||
\(57\) | 3.83402e23i | 0.757431i | ||||||||
\(58\) | −5.83515e23 | + | 9.86150e23i | −0.911537 | + | 1.54051i | ||||
\(59\) | 7.00589e23 | + | 7.00589e23i | 0.868882 | + | 0.868882i | 0.992349 | − | 0.123467i | \(-0.0394012\pi\) |
−0.123467 | + | 0.992349i | \(0.539401\pi\) | |||||||
\(60\) | 2.20448e24 | − | 1.21060e24i | 2.17903 | − | 1.19662i | ||||
\(61\) | −1.14353e24 | + | 1.14353e24i | −0.904260 | + | 0.904260i | −0.995801 | − | 0.0915416i | \(-0.970821\pi\) |
0.0915416 | + | 0.995801i | \(0.470821\pi\) | |||||||
\(62\) | −1.25700e24 | + | 3.22433e23i | −0.798082 | + | 0.204716i | ||||
\(63\) | 4.52819e24 | 2.31647 | ||||||||
\(64\) | 1.55164e23 | − | 2.41287e24i | 0.0641743 | − | 0.997939i | ||||
\(65\) | 5.98924e24 | 2.00928 | ||||||||
\(66\) | −5.73992e24 | + | 1.47235e24i | −1.56698 | + | 0.401946i | ||||
\(67\) | 4.64819e23 | − | 4.64819e23i | 0.103580 | − | 0.103580i | −0.653418 | − | 0.756997i | \(-0.726666\pi\) |
0.756997 | + | 0.653418i | \(0.226666\pi\) | |||||||
\(68\) | −4.88282e24 | + | 2.68142e24i | −0.890842 | + | 0.489209i | ||||
\(69\) | −6.99592e24 | − | 6.99592e24i | −1.04805 | − | 1.04805i | ||||
\(70\) | 9.42721e24 | − | 1.59321e25i | 1.16295 | − | 1.96540i | ||||
\(71\) | 1.39337e25i | 1.41931i | 0.704548 | + | 0.709657i | \(0.251150\pi\) | ||||
−0.704548 | + | 0.709657i | \(0.748850\pi\) | |||||||
\(72\) | 1.27526e25 | + | 1.35991e25i | 1.07550 | + | 1.14689i | ||||
\(73\) | − | 1.41951e25i | − | 0.993756i | −0.867820 | − | 0.496878i | \(-0.834480\pi\) | ||
0.867820 | − | 0.496878i | \(-0.165520\pi\) | |||||||
\(74\) | −1.07452e25 | − | 6.35802e24i | −0.626015 | − | 0.370419i | ||||
\(75\) | 3.27264e25 | + | 3.27264e25i | 1.59064 | + | 1.59064i | ||||
\(76\) | −3.24675e24 | + | 1.11561e25i | −0.131967 | + | 0.453451i | ||||
\(77\) | −3.08425e25 | + | 3.08425e25i | −1.05081 | + | 1.05081i | ||||
\(78\) | 1.80470e25 | + | 7.03560e25i | 0.516569 | + | 2.01384i | ||||
\(79\) | −2.71335e24 | −0.0653942 | −0.0326971 | − | 0.999465i | \(-0.510410\pi\) | ||||
−0.0326971 | + | 0.999465i | \(0.510410\pi\) | |||||||
\(80\) | 7.43971e25 | − | 1.65575e25i | 1.51301 | − | 0.336729i | ||||
\(81\) | 5.82794e24 | 0.100223 | ||||||||
\(82\) | −1.22776e25 | − | 4.78639e25i | −0.178906 | − | 0.697463i | ||||
\(83\) | 5.76649e24 | − | 5.76649e24i | 0.0713440 | − | 0.0713440i | −0.670534 | − | 0.741878i | \(-0.733935\pi\) |
0.741878 | + | 0.670534i | \(0.233935\pi\) | |||||||
\(84\) | 2.15562e26 | + | 6.27347e25i | 2.26883 | + | 0.660294i | ||||
\(85\) | −1.24169e26 | − | 1.24169e26i | −1.11393 | − | 1.11393i | ||||
\(86\) | 7.72688e25 | + | 4.57207e25i | 0.591936 | + | 0.350255i | ||||
\(87\) | − | 4.38047e26i | − | 2.87085i | ||||||
\(88\) | −1.79487e26 | − | 5.76517e24i | −1.00813 | − | 0.0323814i | ||||
\(89\) | 2.71721e26i | 1.31026i | 0.755515 | + | 0.655131i | \(0.227387\pi\) | ||||
−0.755515 | + | 0.655131i | \(0.772613\pi\) | |||||||
\(90\) | −2.99271e26 | + | 5.05773e26i | −1.24105 | + | 2.09740i | ||||
\(91\) | 3.78046e26 | + | 3.78046e26i | 1.35047 | + | 1.35047i | ||||
\(92\) | −1.44322e26 | − | 2.62809e26i | −0.444834 | − | 0.810037i | ||||
\(93\) | 3.50791e26 | − | 3.50791e26i | 0.934391 | − | 0.934391i | ||||
\(94\) | 2.11586e26 | − | 5.42739e25i | 0.487821 | − | 0.125131i | ||||
\(95\) | −3.66262e26 | −0.732021 | ||||||||
\(96\) | 4.18679e26 | + | 8.24056e26i | 0.726473 | + | 1.42986i | ||||
\(97\) | 6.54574e26 | 0.987507 | 0.493753 | − | 0.869602i | \(-0.335625\pi\) | ||||
0.493753 | + | 0.869602i | \(0.335625\pi\) | |||||||
\(98\) | 8.63283e26 | − | 2.21441e26i | 1.13397 | − | 0.290875i | ||||
\(99\) | 9.79108e26 | − | 9.79108e26i | 1.12139 | − | 1.12139i | ||||
\(100\) | 6.75129e26 | + | 1.22940e27i | 0.675129 | + | 1.22940i | ||||
\(101\) | 8.73679e26 | + | 8.73679e26i | 0.763859 | + | 0.763859i | 0.977018 | − | 0.213158i | \(-0.0683751\pi\) |
−0.213158 | + | 0.977018i | \(0.568375\pi\) | |||||||
\(102\) | 1.08447e27 | − | 1.83277e27i | 0.830072 | − | 1.40284i | ||||
\(103\) | 1.91785e27i | 1.28681i | 0.765528 | + | 0.643403i | \(0.222478\pi\) | ||||
−0.765528 | + | 0.643403i | \(0.777522\pi\) | |||||||
\(104\) | −7.06655e25 | + | 2.20003e27i | −0.0416157 | + | 1.29562i | ||||
\(105\) | 7.07703e27i | 3.66265i | ||||||||
\(106\) | −2.35364e27 | − | 1.39267e27i | −1.07179 | − | 0.634190i | ||||
\(107\) | −1.51836e27 | − | 1.51836e27i | −0.609105 | − | 0.609105i | 0.333607 | − | 0.942712i | \(-0.391734\pi\) |
−0.942712 | + | 0.333607i | \(0.891734\pi\) | |||||||
\(108\) | −2.49076e27 | − | 7.24880e26i | −0.881273 | − | 0.256475i | ||||
\(109\) | −2.68650e27 | + | 2.68650e27i | −0.839323 | + | 0.839323i | −0.988770 | − | 0.149447i | \(-0.952251\pi\) |
0.149447 | + | 0.988770i | \(0.452251\pi\) | |||||||
\(110\) | −1.40653e27 | − | 5.48333e27i | −0.388461 | − | 1.51441i | ||||
\(111\) | 4.77298e27 | 1.16662 | ||||||||
\(112\) | 5.74113e27 | + | 3.65088e27i | 1.24324 | + | 0.790596i | ||||
\(113\) | −3.40909e27 | −0.654755 | −0.327378 | − | 0.944894i | \(-0.606165\pi\) | ||||
−0.327378 | + | 0.944894i | \(0.606165\pi\) | |||||||
\(114\) | −1.10364e27 | − | 4.30251e27i | −0.188196 | − | 0.733679i | ||||
\(115\) | 6.68318e27 | − | 6.68318e27i | 1.01289 | − | 1.01289i | ||||
\(116\) | 3.70950e27 | − | 1.27462e28i | 0.500187 | − | 1.71869i | ||||
\(117\) | −1.20012e28 | − | 1.20012e28i | −1.44117 | − | 1.44117i | ||||
\(118\) | −9.87863e27 | − | 5.84529e27i | −1.05752 | − | 0.625747i | ||||
\(119\) | − | 1.56753e28i | − | 1.49738i | ||||||
\(120\) | −2.12538e28 | + | 1.99309e28i | −1.81338 | + | 1.70051i | ||||
\(121\) | 2.27842e26i | 0.0173793i | ||||||||
\(122\) | 9.54088e27 | − | 1.61242e28i | 0.651225 | − | 1.10058i | ||||
\(123\) | 1.33574e28 | + | 1.33574e28i | 0.816587 | + | 0.816587i | ||||
\(124\) | 1.31778e28 | − | 7.23664e27i | 0.722189 | − | 0.396592i | ||||
\(125\) | −8.97345e27 | + | 8.97345e27i | −0.441239 | + | 0.441239i | ||||
\(126\) | −5.08150e28 | + | 1.30346e28i | −2.24383 | + | 0.575565i | ||||
\(127\) | 2.75899e28 | 1.09496 | 0.547482 | − | 0.836818i | \(-0.315587\pi\) | ||||
0.547482 | + | 0.836818i | \(0.315587\pi\) | |||||||
\(128\) | 5.20429e27 | + | 2.75237e28i | 0.185792 | + | 0.982589i | ||||
\(129\) | −3.43227e28 | −1.10311 | ||||||||
\(130\) | −6.72109e28 | + | 1.72403e28i | −1.94627 | + | 0.499239i | ||||
\(131\) | −1.31168e28 | + | 1.31168e28i | −0.342504 | + | 0.342504i | −0.857308 | − | 0.514804i | \(-0.827865\pi\) |
0.514804 | + | 0.857308i | \(0.327865\pi\) | |||||||
\(132\) | 6.01748e28 | − | 3.30452e28i | 1.41797 | − | 0.778682i | ||||
\(133\) | −2.31188e28 | − | 2.31188e28i | −0.492003 | − | 0.492003i | ||||
\(134\) | −3.87817e27 | + | 6.55417e27i | −0.0745954 | + | 0.126067i | ||||
\(135\) | − | 8.17729e28i | − | 1.42267i | ||||||
\(136\) | 4.70762e28 | − | 4.41461e28i | 0.741354 | − | 0.695211i | ||||
\(137\) | − | 5.22657e26i | − | 0.00745572i | −0.999993 | − | 0.00372786i | \(-0.998813\pi\) | ||
0.999993 | − | 0.00372786i | \(-0.00118662\pi\) | |||||||
\(138\) | 9.86458e28 | + | 5.83697e28i | 1.27559 | + | 0.754779i | ||||
\(139\) | −3.85785e28 | − | 3.85785e28i | −0.452528 | − | 0.452528i | 0.443665 | − | 0.896193i | \(-0.353678\pi\) |
−0.896193 | + | 0.443665i | \(0.853678\pi\) | |||||||
\(140\) | −5.99302e28 | + | 2.05926e29i | −0.638142 | + | 2.19272i | ||||
\(141\) | −5.90473e28 | + | 5.90473e28i | −0.571139 | + | 0.571139i | ||||
\(142\) | −4.01086e28 | − | 1.56363e29i | −0.352651 | − | 1.37480i | ||||
\(143\) | 1.63486e29 | 1.30751 | ||||||||
\(144\) | −1.82255e29 | − | 1.15899e29i | −1.32674 | − | 0.843695i | ||||
\(145\) | 4.18464e29 | 2.77454 | ||||||||
\(146\) | 4.08611e28 | + | 1.59296e29i | 0.246915 | + | 0.962593i | ||||
\(147\) | −2.40917e29 | + | 2.40917e29i | −1.32765 | + | 1.32765i | ||||
\(148\) | 1.38883e29 | + | 4.04189e28i | 0.698420 | + | 0.203260i | ||||
\(149\) | −2.13398e29 | − | 2.13398e29i | −0.979888 | − | 0.979888i | 0.0199133 | − | 0.999802i | \(-0.493661\pi\) |
−0.999802 | + | 0.0199133i | \(0.993661\pi\) | |||||||
\(150\) | −4.61457e29 | − | 2.73049e29i | −1.93597 | − | 1.14554i | ||||
\(151\) | − | 1.63581e29i | − | 0.627398i | −0.949522 | − | 0.313699i | \(-0.898432\pi\) | ||
0.949522 | − | 0.313699i | \(-0.101568\pi\) | |||||||
\(152\) | 4.32143e27 | − | 1.34539e29i | 0.0151614 | − | 0.472020i | ||||
\(153\) | 4.97620e29i | 1.59795i | ||||||||
\(154\) | 2.57331e29 | − | 4.34893e29i | 0.756767 | − | 1.27895i | ||||
\(155\) | 3.35109e29 | + | 3.35109e29i | 0.903043 | + | 0.903043i | ||||
\(156\) | −4.05045e29 | − | 7.37582e29i | −1.00074 | − | 1.82233i | ||||
\(157\) | −6.63366e28 | + | 6.63366e28i | −0.150351 | + | 0.150351i | −0.778275 | − | 0.627924i | \(-0.783905\pi\) |
0.627924 | + | 0.778275i | \(0.283905\pi\) | |||||||
\(158\) | 3.04490e28 | − | 7.81047e27i | 0.0633435 | − | 0.0162482i | ||||
\(159\) | 1.04548e30 | 1.99736 | ||||||||
\(160\) | −7.87218e29 | + | 3.99962e29i | −1.38189 | + | 0.702101i | ||||
\(161\) | 8.43696e29 | 1.36156 | ||||||||
\(162\) | −6.54007e28 | + | 1.67759e28i | −0.0970800 | + | 0.0249020i | ||||
\(163\) | −7.39399e28 | + | 7.39399e28i | −0.101006 | + | 0.101006i | −0.755804 | − | 0.654798i | \(-0.772754\pi\) |
0.654798 | + | 0.755804i | \(0.272754\pi\) | |||||||
\(164\) | 2.75556e29 | + | 5.01784e29i | 0.346592 | + | 0.631139i | ||||
\(165\) | 1.53023e30 | + | 1.53023e30i | 1.77306 | + | 1.77306i | ||||
\(166\) | −4.81121e28 | + | 8.13103e28i | −0.0513802 | + | 0.0868333i | ||||
\(167\) | 7.93389e29i | 0.781293i | 0.920541 | + | 0.390646i | \(0.127748\pi\) | ||||
−0.920541 | + | 0.390646i | \(0.872252\pi\) | |||||||
\(168\) | −2.59961e30 | − | 8.35001e28i | −2.36174 | − | 0.0758598i | ||||
\(169\) | − | 8.11366e29i | − | 0.680372i | ||||||
\(170\) | 1.75084e30 | + | 1.03599e30i | 1.35577 | + | 0.802224i | ||||
\(171\) | 7.33915e29 | + | 7.33915e29i | 0.525047 | + | 0.525047i | ||||
\(172\) | −9.98714e29 | − | 2.90654e29i | −0.660400 | − | 0.192195i | ||||
\(173\) | 2.02867e30 | − | 2.02867e30i | 1.24048 | − | 1.24048i | 0.280679 | − | 0.959802i | \(-0.409440\pi\) |
0.959802 | − | 0.280679i | \(-0.0905596\pi\) | |||||||
\(174\) | 1.26093e30 | + | 4.91573e30i | 0.713309 | + | 2.78082i | ||||
\(175\) | −3.94674e30 | −2.06645 | ||||||||
\(176\) | 2.03079e30 | − | 4.51965e29i | 0.984564 | − | 0.219121i | ||||
\(177\) | 4.38807e30 | 1.97076 | ||||||||
\(178\) | −7.82159e29 | − | 3.04923e30i | −0.325556 | − | 1.26917i | ||||
\(179\) | 8.39006e28 | − | 8.39006e28i | 0.0323780 | − | 0.0323780i | −0.690732 | − | 0.723110i | \(-0.742712\pi\) |
0.723110 | + | 0.690732i | \(0.242712\pi\) | |||||||
\(180\) | 1.90251e30 | − | 6.53721e30i | 0.681002 | − | 2.33999i | ||||
\(181\) | −2.12428e30 | − | 2.12428e30i | −0.705588 | − | 0.705588i | 0.260017 | − | 0.965604i | \(-0.416272\pi\) |
−0.965604 | + | 0.260017i | \(0.916272\pi\) | |||||||
\(182\) | −5.33062e30 | − | 3.15419e30i | −1.64367 | − | 0.972576i | ||||
\(183\) | 7.16237e30i | 2.05101i | ||||||||
\(184\) | 2.37608e30 | + | 2.53379e30i | 0.632151 | + | 0.674109i | ||||
\(185\) | 4.55961e30i | 1.12748i | ||||||||
\(186\) | −2.92679e30 | + | 4.94632e30i | −0.672924 | + | 1.13725i | ||||
\(187\) | −3.38940e30 | − | 3.38940e30i | −0.724871 | − | 0.724871i | ||||
\(188\) | −2.21817e30 | + | 1.21812e30i | −0.441433 | + | 0.242414i | ||||
\(189\) | 5.16157e30 | − | 5.16157e30i | 0.956198 | − | 0.956198i | ||||
\(190\) | 4.11017e30 | − | 1.05430e30i | 0.709065 | − | 0.181882i | ||||
\(191\) | 4.37011e30 | 0.702331 | 0.351166 | − | 0.936313i | \(-0.385785\pi\) | ||||
0.351166 | + | 0.936313i | \(0.385785\pi\) | |||||||
\(192\) | −7.07046e30 | − | 8.04232e30i | −1.05896 | − | 1.20452i | ||||
\(193\) | −1.93792e30 | −0.270591 | −0.135295 | − | 0.990805i | \(-0.543198\pi\) | ||||
−0.135295 | + | 0.990805i | \(0.543198\pi\) | |||||||
\(194\) | −7.34558e30 | + | 1.88422e30i | −0.956539 | + | 0.245362i | ||||
\(195\) | 1.87565e31 | − | 1.87565e31i | 2.27869 | − | 2.27869i | ||||
\(196\) | −9.05028e30 | + | 4.96999e30i | −1.02614 | + | 0.563506i | ||||
\(197\) | −1.15203e31 | − | 1.15203e31i | −1.21946 | − | 1.21946i | −0.967821 | − | 0.251641i | \(-0.919030\pi\) |
−0.251641 | − | 0.967821i | \(-0.580970\pi\) | |||||||
\(198\) | −8.16908e30 | + | 1.38059e31i | −0.807594 | + | 1.36485i | ||||
\(199\) | 1.51292e31i | 1.39733i | 0.715448 | + | 0.698666i | \(0.246223\pi\) | ||||
−0.715448 | + | 0.698666i | \(0.753777\pi\) | |||||||
\(200\) | −1.11151e31 | − | 1.18529e31i | −0.959422 | − | 1.02310i | ||||
\(201\) | − | 2.91135e30i | − | 0.234935i | ||||||
\(202\) | −1.23193e31 | − | 7.28945e30i | −0.929698 | − | 0.550112i | ||||
\(203\) | 2.64138e31 | + | 2.64138e31i | 1.86481 | + | 1.86481i | ||||
\(204\) | −6.89416e30 | + | 2.36890e31i | −0.455485 | + | 1.56509i | ||||
\(205\) | −1.27603e31 | + | 1.27603e31i | −0.789192 | + | 0.789192i | ||||
\(206\) | −5.52062e30 | − | 2.15220e31i | −0.319728 | − | 1.24645i | ||||
\(207\) | −2.67835e31 | −1.45301 | ||||||||
\(208\) | −5.53987e30 | − | 2.48920e31i | −0.281608 | − | 1.26533i | ||||
\(209\) | −9.99772e30 | −0.476350 | ||||||||
\(210\) | −2.03715e31 | − | 7.94180e31i | −0.910045 | − | 3.54779i | ||||
\(211\) | 1.31463e31 | − | 1.31463e31i | 0.550797 | − | 0.550797i | −0.375874 | − | 0.926671i | \(-0.622657\pi\) |
0.926671 | + | 0.375874i | \(0.122657\pi\) | |||||||
\(212\) | 3.04212e31 | + | 8.85343e30i | 1.19576 | + | 0.347999i | ||||
\(213\) | 4.36362e31 | + | 4.36362e31i | 1.60962 | + | 1.60962i | ||||
\(214\) | 2.14095e31 | + | 1.26682e31i | 0.741346 | + | 0.438662i | ||||
\(215\) | − | 3.27883e31i | − | 1.06611i | ||||||
\(216\) | 3.00377e31 | + | 9.64818e29i | 0.917362 | + | 0.0294659i | ||||
\(217\) | 4.23047e31i | 1.21390i | ||||||||
\(218\) | 2.24145e31 | − | 3.78809e31i | 0.604459 | − | 1.02155i | ||||
\(219\) | −4.44549e31 | − | 4.44549e31i | −1.12700 | − | 1.12700i | ||||
\(220\) | 3.15679e31 | + | 5.74848e31i | 0.752558 | + | 1.37040i | ||||
\(221\) | −4.15449e31 | + | 4.15449e31i | −0.931584 | + | 0.931584i | ||||
\(222\) | −5.35621e31 | + | 1.37392e31i | −1.13004 | + | 0.289866i | ||||
\(223\) | −5.43366e30 | −0.107889 | −0.0539444 | − | 0.998544i | \(-0.517179\pi\) | ||||
−0.0539444 | + | 0.998544i | \(0.517179\pi\) | |||||||
\(224\) | −7.49358e31 | − | 2.44439e31i | −1.40069 | − | 0.456901i | ||||
\(225\) | 1.25291e32 | 2.20524 | ||||||||
\(226\) | 3.82565e31 | − | 9.81319e30i | 0.634223 | − | 0.162684i | ||||
\(227\) | 6.60671e31 | − | 6.60671e31i | 1.03190 | − | 1.03190i | 0.0324226 | − | 0.999474i | \(-0.489678\pi\) |
0.999474 | − | 0.0324226i | \(-0.0103222\pi\) | |||||||
\(228\) | 2.47699e31 | + | 4.51056e31i | 0.364589 | + | 0.663911i | ||||
\(229\) | −8.84126e31 | − | 8.84126e31i | −1.22669 | − | 1.22669i | −0.965208 | − | 0.261482i | \(-0.915789\pi\) |
−0.261482 | − | 0.965208i | \(-0.584211\pi\) | |||||||
\(230\) | −5.57604e31 | + | 9.42360e31i | −0.729458 | + | 1.23280i | ||||
\(231\) | 1.93179e32i | 2.38341i | ||||||||
\(232\) | −4.93735e30 | + | 1.53715e32i | −0.0574654 | + | 1.78907i | ||||
\(233\) | − | 2.06242e31i | − | 0.226503i | −0.993566 | − | 0.113251i | \(-0.963873\pi\) | ||
0.993566 | − | 0.113251i | \(-0.0361265\pi\) | |||||||
\(234\) | 1.69223e32 | + | 1.00131e32i | 1.75406 | + | 1.03790i | ||||
\(235\) | −5.64076e31 | − | 5.64076e31i | −0.551978 | − | 0.551978i | ||||
\(236\) | 1.27683e32 | + | 3.71594e31i | 1.17984 | + | 0.343365i | ||||
\(237\) | −8.49740e30 | + | 8.49740e30i | −0.0741623 | + | 0.0741623i | ||||
\(238\) | 4.51220e31 | + | 1.75907e32i | 0.372048 | + | 1.45042i | ||||
\(239\) | 1.28995e32 | 1.00508 | 0.502542 | − | 0.864553i | \(-0.332398\pi\) | ||||
0.502542 | + | 0.864553i | \(0.332398\pi\) | |||||||
\(240\) | 1.81136e32 | − | 2.84843e32i | 1.33399 | − | 2.09775i | ||||
\(241\) | −9.30064e31 | −0.647564 | −0.323782 | − | 0.946132i | \(-0.604954\pi\) | ||||
−0.323782 | + | 0.946132i | \(0.604954\pi\) | |||||||
\(242\) | −6.55853e29 | − | 2.55683e30i | −0.00431816 | − | 0.0168343i | ||||
\(243\) | 1.22467e32 | − | 1.22467e32i | 0.762669 | − | 0.762669i | ||||
\(244\) | −6.06529e31 | + | 2.08409e32i | −0.357346 | + | 1.22787i | ||||
\(245\) | −2.30147e32 | − | 2.30147e32i | −1.28311 | − | 1.28311i | ||||
\(246\) | −1.88345e32 | − | 1.11446e32i | −0.993873 | − | 0.588085i | ||||
\(247\) | 1.22545e32i | 0.612191i | ||||||||
\(248\) | −1.27050e32 | + | 1.19142e32i | −0.601002 | + | 0.563595i | ||||
\(249\) | − | 3.61179e31i | − | 0.161820i | ||||||
\(250\) | 7.48690e31 | − | 1.26530e32i | 0.317769 | − | 0.537035i | ||||
\(251\) | −1.02833e32 | − | 1.02833e32i | −0.413557 | − | 0.413557i | 0.469419 | − | 0.882976i | \(-0.344463\pi\) |
−0.882976 | + | 0.469419i | \(0.844463\pi\) | |||||||
\(252\) | 5.32722e32 | − | 2.92546e32i | 2.03046 | − | 1.11503i | ||||
\(253\) | 1.82428e32 | − | 1.82428e32i | 0.659121 | − | 0.659121i | ||||
\(254\) | −3.09612e32 | + | 7.94185e31i | −1.06063 | + | 0.272061i | ||||
\(255\) | −7.77722e32 | −2.52657 | ||||||||
\(256\) | −1.37630e32 | − | 2.93888e32i | −0.424106 | − | 0.905613i | ||||
\(257\) | 2.65715e31 | 0.0776819 | 0.0388409 | − | 0.999245i | \(-0.487633\pi\) | ||||
0.0388409 | + | 0.999245i | \(0.487633\pi\) | |||||||
\(258\) | 3.85167e32 | − | 9.87992e31i | 1.06852 | − | 0.274086i | ||||
\(259\) | −2.87807e32 | + | 2.87807e32i | −0.757799 | + | 0.757799i | ||||
\(260\) | 7.04609e32 | − | 3.86938e32i | 1.76120 | − | 0.967166i | ||||
\(261\) | −8.38518e32 | − | 8.38518e32i | −1.99006 | − | 1.99006i | ||||
\(262\) | 1.09439e32 | − | 1.84953e32i | 0.246663 | − | 0.416864i | ||||
\(263\) | 4.78124e32i | 1.02362i | 0.859099 | + | 0.511809i | \(0.171025\pi\) | ||||
−0.859099 | + | 0.511809i | \(0.828975\pi\) | |||||||
\(264\) | −5.80156e32 | + | 5.44046e32i | −1.18003 | + | 1.10658i | ||||
\(265\) | 9.98746e32i | 1.93035i | ||||||||
\(266\) | 3.25986e32 | + | 1.92889e32i | 0.598820 | + | 0.354328i | ||||
\(267\) | 8.50950e32 | + | 8.50950e32i | 1.48594 | + | 1.48594i | ||||
\(268\) | 2.46541e31 | − | 8.47138e31i | 0.0409326 | − | 0.140648i | ||||
\(269\) | 3.46601e32 | − | 3.46601e32i | 0.547235 | − | 0.547235i | −0.378405 | − | 0.925640i | \(-0.623527\pi\) |
0.925640 | + | 0.378405i | \(0.123527\pi\) | |||||||
\(270\) | 2.35386e32 | + | 9.17650e32i | 0.353485 | + | 1.37805i | ||||
\(271\) | −8.20273e32 | −1.17185 | −0.585926 | − | 0.810364i | \(-0.699269\pi\) | ||||
−0.585926 | + | 0.810364i | \(0.699269\pi\) | |||||||
\(272\) | −4.01209e32 | + | 6.30915e32i | −0.545369 | + | 0.857611i | ||||
\(273\) | 2.36786e33 | 3.06309 | ||||||||
\(274\) | 1.50449e30 | + | 5.86523e30i | 0.00185249 | + | 0.00722191i | ||||
\(275\) | −8.53385e32 | + | 8.53385e32i | −1.00035 | + | 1.00035i | ||||
\(276\) | −1.27502e33 | − | 3.71065e32i | −1.42312 | − | 0.414169i | ||||
\(277\) | −7.41105e32 | − | 7.41105e32i | −0.787776 | − | 0.787776i | 0.193353 | − | 0.981129i | \(-0.438064\pi\) |
−0.981129 | + | 0.193353i | \(0.938064\pi\) | |||||||
\(278\) | 5.43974e32 | + | 3.21875e32i | 0.550774 | + | 0.325899i | ||||
\(279\) | − | 1.34298e33i | − | 1.29543i | ||||||
\(280\) | 7.97673e31 | − | 2.48340e33i | 0.0733148 | − | 2.28251i | ||||
\(281\) | − | 1.17693e33i | − | 1.03090i | −0.856920 | − | 0.515449i | \(-0.827625\pi\) | ||
0.856920 | − | 0.515449i | \(-0.172375\pi\) | |||||||
\(282\) | 4.92655e32 | − | 8.32594e32i | 0.411320 | − | 0.695137i | ||||
\(283\) | −1.40700e33 | − | 1.40700e33i | −1.11989 | − | 1.11989i | −0.991757 | − | 0.128136i | \(-0.959101\pi\) |
−0.128136 | − | 0.991757i | \(-0.540899\pi\) | |||||||
\(284\) | 9.00193e32 | + | 1.63924e33i | 0.683184 | + | 1.24407i | ||||
\(285\) | −1.14702e33 | + | 1.14702e33i | −0.830170 | + | 0.830170i | ||||
\(286\) | −1.83463e33 | + | 4.70601e32i | −1.26650 | + | 0.324871i | ||||
\(287\) | −1.61088e33 | −1.06086 | ||||||||
\(288\) | 2.37887e33 | + | 7.75981e32i | 1.49476 | + | 0.487588i | ||||
\(289\) | 5.49090e31 | 0.0329248 | ||||||||
\(290\) | −4.69598e33 | + | 1.20457e33i | −2.68753 | + | 0.689378i | ||||
\(291\) | 2.04993e33 | − | 2.04993e33i | 1.11991 | − | 1.11991i | ||||
\(292\) | −9.17082e32 | − | 1.66999e33i | −0.478343 | − | 0.871056i | ||||
\(293\) | −9.79971e32 | − | 9.79971e32i | −0.488091 | − | 0.488091i | 0.419613 | − | 0.907703i | \(-0.362166\pi\) |
−0.907703 | + | 0.419613i | \(0.862166\pi\) | |||||||
\(294\) | 2.01006e33 | − | 3.39704e33i | 0.956137 | − | 1.61589i | ||||
\(295\) | 4.19191e33i | 1.90465i | ||||||||
\(296\) | −1.67489e33 | − | 5.37977e31i | −0.727021 | − | 0.0233521i | ||||
\(297\) | − | 2.23212e33i | − | 0.925777i | ||||||
\(298\) | 3.00902e33 | + | 1.78047e33i | 1.19263 | + | 0.705691i | ||||
\(299\) | −2.23608e33 | − | 2.23608e33i | −0.847083 | − | 0.847083i | ||||
\(300\) | 5.96443e33 | + | 1.73582e33i | 2.15989 | + | 0.628589i | ||||
\(301\) | 2.06963e33 | − | 2.06963e33i | 0.716547 | − | 0.716547i | ||||
\(302\) | 4.70873e32 | + | 1.83569e33i | 0.155887 | + | 0.607723i | ||||
\(303\) | 5.47221e33 | 1.73256 | ||||||||
\(304\) | 3.38782e32 | + | 1.52223e33i | 0.102595 | + | 0.460985i | ||||
\(305\) | −6.84218e33 | −1.98220 | ||||||||
\(306\) | −1.43242e33 | − | 5.58425e33i | −0.397036 | − | 1.54784i | ||||
\(307\) | −2.78215e33 | + | 2.78215e33i | −0.737927 | + | 0.737927i | −0.972176 | − | 0.234250i | \(-0.924737\pi\) |
0.234250 | + | 0.972176i | \(0.424737\pi\) | |||||||
\(308\) | −1.63589e33 | + | 5.62108e33i | −0.415260 | + | 1.42687i | ||||
\(309\) | 6.00615e33 | + | 6.00615e33i | 1.45934 | + | 1.45934i | ||||
\(310\) | −4.72520e33 | − | 2.79595e33i | −1.09910 | − | 0.650349i | ||||
\(311\) | − | 1.72573e33i | − | 0.384332i | −0.981362 | − | 0.192166i | \(-0.938449\pi\) | ||
0.981362 | − | 0.192166i | \(-0.0615512\pi\) | |||||||
\(312\) | 6.66854e33 | + | 7.11115e33i | 1.42215 | + | 1.51654i | ||||
\(313\) | − | 3.35883e33i | − | 0.686024i | −0.939331 | − | 0.343012i | \(-0.888553\pi\) | ||
0.939331 | − | 0.343012i | \(-0.111447\pi\) | |||||||
\(314\) | 5.53472e32 | − | 9.35377e32i | 0.108279 | − | 0.182994i | ||||
\(315\) | 1.35470e34 | + | 1.35470e34i | 2.53893 | + | 2.53893i | ||||
\(316\) | −3.19214e32 | + | 1.75297e32i | −0.0573199 | + | 0.0314774i | ||||
\(317\) | 9.80948e32 | − | 9.80948e32i | 0.168790 | − | 0.168790i | −0.617657 | − | 0.786447i | \(-0.711918\pi\) |
0.786447 | + | 0.617657i | \(0.211918\pi\) | |||||||
\(318\) | −1.17323e34 | + | 3.00946e33i | −1.93472 | + | 0.496275i | ||||
\(319\) | 1.14227e34 | 1.80548 | ||||||||
\(320\) | 7.68279e33 | − | 6.75439e33i | 1.16411 | − | 1.02344i | ||||
\(321\) | −9.51008e33 | −1.38155 | ||||||||
\(322\) | −9.46789e33 | + | 2.42861e33i | −1.31886 | + | 0.338301i | ||||
\(323\) | 2.54061e33 | − | 2.54061e33i | 0.339394 | − | 0.339394i | ||||
\(324\) | 6.85632e32 | − | 3.76517e32i | 0.0878483 | − | 0.0482422i | ||||
\(325\) | 1.04602e34 | + | 1.04602e34i | 1.28563 | + | 1.28563i | ||||
\(326\) | 6.16909e32 | − | 1.04259e33i | 0.0727418 | − | 0.122935i | ||||
\(327\) | 1.68267e34i | 1.90372i | ||||||||
\(328\) | −4.53668e33 | − | 4.83779e33i | −0.492540 | − | 0.525231i | ||||
\(329\) | − | 7.12099e33i | − | 0.741986i | ||||||
\(330\) | −2.15770e34 | − | 1.27673e34i | −2.15801 | − | 1.27691i | ||||
\(331\) | 1.85950e33 | + | 1.85950e33i | 0.178532 | + | 0.178532i | 0.790716 | − | 0.612183i | \(-0.209709\pi\) |
−0.612183 | + | 0.790716i | \(0.709709\pi\) | |||||||
\(332\) | 3.05856e32 | − | 1.05095e33i | 0.0281938 | − | 0.0968765i | ||||
\(333\) | 9.13655e33 | − | 9.13655e33i | 0.808695 | − | 0.808695i | ||||
\(334\) | −2.28380e33 | − | 8.90336e33i | −0.194125 | − | 0.756792i | ||||
\(335\) | 2.78120e33 | 0.227053 | ||||||||
\(336\) | 2.94130e34 | − | 6.54605e33i | 2.30653 | − | 0.513333i | ||||
\(337\) | 9.82014e33 | 0.739799 | 0.369900 | − | 0.929072i | \(-0.379392\pi\) | ||||
0.369900 | + | 0.929072i | \(0.379392\pi\) | |||||||
\(338\) | 2.33555e33 | + | 9.10510e33i | 0.169049 | + | 0.659036i | ||||
\(339\) | −1.06763e34 | + | 1.06763e34i | −0.742545 | + | 0.742545i | ||||
\(340\) | −2.26300e34 | − | 6.58596e33i | −1.51258 | − | 0.440204i | ||||
\(341\) | 9.14735e33 | + | 9.14735e33i | 0.587640 | + | 0.587640i | ||||
\(342\) | −1.03486e34 | − | 6.12334e33i | −0.639039 | − | 0.378126i | ||||
\(343\) | − | 4.23599e33i | − | 0.251469i | ||||||
\(344\) | 1.20442e34 | + | 3.86861e32i | 0.687444 | + | 0.0220809i | ||||
\(345\) | − | 4.18595e34i | − | 2.29740i | ||||||
\(346\) | −1.69260e34 | + | 2.86053e34i | −0.893363 | + | 1.50980i | ||||
\(347\) | −5.31478e32 | − | 5.31478e32i | −0.0269797 | − | 0.0269797i | 0.693488 | − | 0.720468i | \(-0.256073\pi\) |
−0.720468 | + | 0.693488i | \(0.756073\pi\) | |||||||
\(348\) | −2.83002e34 | − | 5.15343e34i | −1.38188 | − | 2.51638i | ||||
\(349\) | −2.18417e33 | + | 2.18417e33i | −0.102599 | + | 0.102599i | −0.756543 | − | 0.653944i | \(-0.773113\pi\) |
0.653944 | + | 0.756543i | \(0.273113\pi\) | |||||||
\(350\) | 4.42901e34 | − | 1.13609e34i | 2.00165 | − | 0.513443i | ||||
\(351\) | −2.73598e34 | −1.18978 | ||||||||
\(352\) | −2.14884e34 | + | 1.09176e34i | −0.899244 | + | 0.456880i | ||||
\(353\) | 2.47069e33 | 0.0995084 | 0.0497542 | − | 0.998761i | \(-0.484156\pi\) | ||||
0.0497542 | + | 0.998761i | \(0.484156\pi\) | |||||||
\(354\) | −4.92427e34 | + | 1.26312e34i | −1.90896 | + | 0.489668i | ||||
\(355\) | −4.16855e34 | + | 4.16855e34i | −1.55561 | + | 1.55561i | ||||
\(356\) | 1.75547e34 | + | 3.19668e34i | 0.630693 | + | 1.14848i | ||||
\(357\) | −4.90905e34 | − | 4.90905e34i | −1.69815 | − | 1.69815i | ||||
\(358\) | −7.00016e32 | + | 1.18304e33i | −0.0233178 | + | 0.0394074i | ||||
\(359\) | − | 4.81366e34i | − | 1.54419i | −0.635508 | − | 0.772094i | \(-0.719209\pi\) | ||
0.635508 | − | 0.772094i | \(-0.280791\pi\) | |||||||
\(360\) | −2.53225e33 | + | 7.88365e34i | −0.0782389 | + | 2.43581i | ||||
\(361\) | 2.61066e34i | 0.776967i | ||||||||
\(362\) | 2.99533e34 | + | 1.77237e34i | 0.858775 | + | 0.508146i | ||||
\(363\) | 7.13535e32 | + | 7.13535e32i | 0.0197095 | + | 0.0197095i | ||||
\(364\) | 6.88994e34 | + | 2.00516e34i | 1.83378 | + | 0.533681i | ||||
\(365\) | 4.24676e34 | − | 4.24676e34i | 1.08919 | − | 1.08919i | ||||
\(366\) | −2.06172e34 | − | 8.03756e34i | −0.509605 | − | 1.98669i | ||||
\(367\) | −1.49278e34 | −0.355634 | −0.177817 | − | 0.984064i | \(-0.556903\pi\) | ||||
−0.177817 | + | 0.984064i | \(0.556903\pi\) | |||||||
\(368\) | −3.39578e34 | − | 2.15944e34i | −0.779820 | − | 0.495901i | ||||
\(369\) | 5.11380e34 | 1.13211 | ||||||||
\(370\) | −1.31250e34 | − | 5.11677e34i | −0.280141 | − | 1.09213i | ||||
\(371\) | −6.30417e34 | + | 6.30417e34i | −1.29742 | + | 1.29742i | ||||
\(372\) | 1.86060e34 | − | 6.39321e34i | 0.369253 | − | 1.26879i | ||||
\(373\) | 2.02249e34 | + | 2.02249e34i | 0.387095 | + | 0.387095i | 0.873650 | − | 0.486555i | \(-0.161747\pi\) |
−0.486555 | + | 0.873650i | \(0.661747\pi\) | |||||||
\(374\) | 4.77921e34 | + | 2.82791e34i | 0.882245 | + | 0.522034i | ||||
\(375\) | 5.62044e34i | 1.00080i | ||||||||
\(376\) | 2.13858e34 | − | 2.00547e34i | 0.367358 | − | 0.344493i | ||||
\(377\) | − | 1.40011e35i | − | 2.32035i | ||||||
\(378\) | −4.30650e34 | + | 7.27806e34i | −0.688629 | + | 1.16379i | ||||
\(379\) | 6.53646e34 | + | 6.53646e34i | 1.00859 | + | 1.00859i | 0.999963 | + | 0.00862339i | \(0.00274494\pi\) |
0.00862339 | + | 0.999963i | \(0.497255\pi\) | |||||||
\(380\) | −4.30892e34 | + | 2.36626e34i | −0.641637 | + | 0.352357i | ||||
\(381\) | 8.64034e34 | − | 8.64034e34i | 1.24178 | − | 1.24178i | ||||
\(382\) | −4.90411e34 | + | 1.25795e34i | −0.680307 | + | 0.174505i | ||||
\(383\) | 1.12805e35 | 1.51058 | 0.755292 | − | 0.655389i | \(-0.227495\pi\) | ||||
0.755292 | + | 0.655389i | \(0.227495\pi\) | |||||||
\(384\) | 1.02494e35 | + | 6.98977e34i | 1.32504 | + | 0.903632i | ||||
\(385\) | −1.84543e35 | −2.30345 | ||||||||
\(386\) | 2.17472e34 | − | 5.57838e33i | 0.262105 | − | 0.0672326i | ||||
\(387\) | −6.57012e34 | + | 6.57012e34i | −0.764672 | + | 0.764672i | ||||
\(388\) | 7.70078e34 | − | 4.22891e34i | 0.865579 | − | 0.475335i | ||||
\(389\) | −8.87777e34 | − | 8.87777e34i | −0.963794 | − | 0.963794i | 0.0355729 | − | 0.999367i | \(-0.488674\pi\) |
−0.999367 | + | 0.0355729i | \(0.988674\pi\) | |||||||
\(390\) | −1.56493e35 | + | 2.64476e35i | −1.64105 | + | 2.77341i | ||||
\(391\) | 9.27169e34i | 0.939232i | ||||||||
\(392\) | 8.72553e34 | − | 8.18245e34i | 0.853945 | − | 0.800795i | ||||
\(393\) | 8.21559e34i | 0.776854i | ||||||||
\(394\) | 1.62441e35 | + | 9.61180e34i | 1.48421 | + | 0.878225i | ||||
\(395\) | −8.11753e33 | − | 8.11753e33i | −0.0716742 | − | 0.0716742i | ||||
\(396\) | 5.19321e34 | − | 1.78444e35i | 0.443150 | − | 1.52271i | ||||
\(397\) | −9.59636e34 | + | 9.59636e34i | −0.791470 | + | 0.791470i | −0.981733 | − | 0.190263i | \(-0.939066\pi\) |
0.190263 | + | 0.981733i | \(0.439066\pi\) | |||||||
\(398\) | −4.35500e34 | − | 1.69779e35i | −0.347190 | − | 1.35351i | ||||
\(399\) | −1.44802e35 | −1.11594 | ||||||||
\(400\) | 1.58852e35 | + | 1.01017e35i | 1.18354 | + | 0.752633i | ||||
\(401\) | 2.64669e35 | 1.90657 | 0.953287 | − | 0.302066i | \(-0.0976764\pi\) | ||||
0.953287 | + | 0.302066i | \(0.0976764\pi\) | |||||||
\(402\) | 8.38044e33 | + | 3.26710e34i | 0.0583734 | + | 0.227568i | ||||
\(403\) | 1.12122e35 | − | 1.12122e35i | 0.755218 | − | 0.755218i | ||||
\(404\) | 1.59229e35 | + | 4.63401e34i | 1.03723 | + | 0.301862i | ||||
\(405\) | 1.74355e34 | + | 1.74355e34i | 0.109848 | + | 0.109848i | ||||
\(406\) | −3.72447e35 | − | 2.20381e35i | −2.26967 | − | 1.34299i | ||||
\(407\) | 1.24462e35i | 0.733690i | ||||||||
\(408\) | 9.17614e33 | − | 2.85681e35i | 0.0523297 | − | 1.62918i | ||||
\(409\) | − | 7.01740e34i | − | 0.387179i | −0.981083 | − | 0.193589i | \(-0.937987\pi\) | ||
0.981083 | − | 0.193589i | \(-0.0620130\pi\) | |||||||
\(410\) | 1.06464e35 | − | 1.79926e35i | 0.568356 | − | 0.960530i | ||||
\(411\) | −1.63681e33 | − | 1.63681e33i | −0.00845538 | − | 0.00845538i | ||||
\(412\) | 1.23904e35 | + | 2.25627e35i | 0.619402 | + | 1.12792i | ||||
\(413\) | −2.64597e35 | + | 2.64597e35i | −1.28014 | + | 1.28014i | ||||
\(414\) | 3.00562e35 | − | 7.70973e34i | 1.40744 | − | 0.361023i | ||||
\(415\) | 3.45033e34 | 0.156391 | ||||||||
\(416\) | 1.33821e35 | + | 2.63390e35i | 0.587169 | + | 1.15568i | ||||
\(417\) | −2.41633e35 | −1.02641 | ||||||||
\(418\) | 1.12194e35 | − | 2.87788e34i | 0.461412 | − | 0.118357i | ||||
\(419\) | −1.69063e35 | + | 1.69063e35i | −0.673222 | + | 0.673222i | −0.958457 | − | 0.285236i | \(-0.907928\pi\) |
0.285236 | + | 0.958457i | \(0.407928\pi\) | |||||||
\(420\) | 4.57215e35 | + | 8.32583e35i | 1.76301 | + | 3.21042i | ||||
\(421\) | −2.38107e35 | − | 2.38107e35i | −0.889127 | − | 0.889127i | 0.105312 | − | 0.994439i | \(-0.466416\pi\) |
−0.994439 | + | 0.105312i | \(0.966416\pi\) | |||||||
\(422\) | −1.09685e35 | + | 1.85369e35i | −0.396670 | + | 0.670378i | ||||
\(423\) | 2.26059e35i | 0.791821i | ||||||||
\(424\) | −3.66870e35 | − | 1.17839e34i | −1.24472 | − | 0.0399808i | ||||
\(425\) | − | 4.33723e35i | − | 1.42548i | ||||||
\(426\) | −6.15291e35 | − | 3.64074e35i | −1.95907 | − | 1.15920i | ||||
\(427\) | −4.31884e35 | − | 4.31884e35i | −1.33227 | − | 1.33227i | ||||
\(428\) | −2.76722e35 | − | 8.05340e34i | −0.827091 | − | 0.240707i | ||||
\(429\) | 5.11990e35 | − | 5.11990e35i | 1.48282 | − | 1.48282i | ||||
\(430\) | 9.43825e34 | + | 3.67948e35i | 0.264891 | + | 1.03267i | ||||
\(431\) | −4.80569e34 | −0.130711 | −0.0653556 | − | 0.997862i | \(-0.520818\pi\) | ||||
−0.0653556 | + | 0.997862i | \(0.520818\pi\) | |||||||
\(432\) | −3.39858e35 | + | 7.56375e34i | −0.895916 | + | 0.199392i | ||||
\(433\) | −3.31020e34 | −0.0845799 | −0.0422900 | − | 0.999105i | \(-0.513465\pi\) | ||||
−0.0422900 | + | 0.999105i | \(0.513465\pi\) | |||||||
\(434\) | −1.21776e35 | − | 4.74741e35i | −0.301613 | − | 1.17583i | ||||
\(435\) | 1.31051e36 | − | 1.31051e36i | 3.14655 | − | 3.14655i | ||||
\(436\) | −1.42493e35 | + | 4.89618e35i | −0.331684 | + | 1.13970i | ||||
\(437\) | 1.36744e35 | + | 1.36744e35i | 0.308609 | + | 0.308609i | ||||
\(438\) | 6.26834e35 | + | 3.70904e35i | 1.37168 | + | 0.811636i | ||||
\(439\) | − | 7.92134e35i | − | 1.68084i | −0.541932 | − | 0.840422i | \(-0.682307\pi\) | ||
0.541932 | − | 0.840422i | \(-0.317693\pi\) | |||||||
\(440\) | −5.19725e35 | − | 5.54221e35i | −1.06946 | − | 1.14044i | ||||
\(441\) | 9.22335e35i | 1.84063i | ||||||||
\(442\) | 3.46625e35 | − | 5.85803e35i | 0.670903 | − | 1.13384i | ||||
\(443\) | 4.84742e35 | + | 4.84742e35i | 0.910040 | + | 0.910040i | 0.996275 | − | 0.0862350i | \(-0.0274836\pi\) |
−0.0862350 | + | 0.996275i | \(0.527484\pi\) | |||||||
\(444\) | 5.61521e35 | − | 3.08361e35i | 1.02258 | − | 0.561551i | ||||
\(445\) | −8.12909e35 | + | 8.12909e35i | −1.43609 | + | 1.43609i | ||||
\(446\) | 6.09761e34 | − | 1.56410e34i | 0.104506 | − | 0.0268067i | ||||
\(447\) | −1.33660e36 | −2.22254 | ||||||||
\(448\) | 9.11287e35 | + | 5.86019e34i | 1.47029 | + | 0.0945494i | ||||
\(449\) | 9.85150e34 | 0.154233 | 0.0771164 | − | 0.997022i | \(-0.475429\pi\) | ||||
0.0771164 | + | 0.997022i | \(0.475429\pi\) | |||||||
\(450\) | −1.40601e36 | + | 3.60655e35i | −2.13609 | + | 0.547928i | ||||
\(451\) | −3.48312e35 | + | 3.48312e35i | −0.513553 | + | 0.513553i | ||||
\(452\) | −4.01065e35 | + | 2.20246e35i | −0.573912 | + | 0.315166i | ||||
\(453\) | −5.12286e35 | − | 5.12286e35i | −0.711520 | − | 0.711520i | ||||
\(454\) | −5.51224e35 | + | 9.31577e35i | −0.743146 | + | 1.25593i | ||||
\(455\) | 2.26200e36i | 2.96033i | ||||||||
\(456\) | −4.07804e35 | − | 4.34871e35i | −0.518115 | − | 0.552503i | ||||
\(457\) | 4.84383e35i | 0.597476i | 0.954335 | + | 0.298738i | \(0.0965657\pi\) | ||||
−0.954335 | + | 0.298738i | \(0.903434\pi\) | |||||||
\(458\) | 1.24666e36 | + | 7.37661e35i | 1.49301 | + | 0.883431i | ||||
\(459\) | 5.67225e35 | + | 5.67225e35i | 0.659605 | + | 0.659605i | ||||
\(460\) | 3.54477e35 | − | 1.21802e36i | 0.400274 | − | 1.37538i | ||||
\(461\) | 4.63789e35 | − | 4.63789e35i | 0.508579 | − | 0.508579i | −0.405511 | − | 0.914090i | \(-0.632906\pi\) |
0.914090 | + | 0.405511i | \(0.132906\pi\) | |||||||
\(462\) | −5.56073e35 | − | 2.16784e36i | −0.592196 | − | 2.30867i | ||||
\(463\) | 3.00115e34 | 0.0310416 | 0.0155208 | − | 0.999880i | \(-0.495059\pi\) | ||||
0.0155208 | + | 0.999880i | \(0.495059\pi\) | |||||||
\(464\) | −3.87067e35 | − | 1.73919e36i | −0.388860 | − | 1.74725i | ||||
\(465\) | 2.09893e36 | 2.04825 | ||||||||
\(466\) | 5.93677e34 | + | 2.31444e35i | 0.0562782 | + | 0.219400i | ||||
\(467\) | −1.91323e35 | + | 1.91323e35i | −0.176193 | + | 0.176193i | −0.789694 | − | 0.613501i | \(-0.789761\pi\) |
0.613501 | + | 0.789694i | \(0.289761\pi\) | |||||||
\(468\) | −2.18724e36 | − | 6.36548e35i | −1.95694 | − | 0.569524i | ||||
\(469\) | 1.75552e35 | + | 1.75552e35i | 0.152606 | + | 0.152606i | ||||
\(470\) | 7.95374e35 | + | 4.70631e35i | 0.671816 | + | 0.397520i | ||||
\(471\) | 4.15493e35i | 0.341021i | ||||||||
\(472\) | −1.53982e36 | − | 4.94593e34i | −1.22815 | − | 0.0394485i | ||||
\(473\) | − | 8.95011e35i | − | 0.693750i | ||||||
\(474\) | 7.08971e34 | − | 1.19817e35i | 0.0534098 | − | 0.0902634i | ||||
\(475\) | −6.39676e35 | − | 6.39676e35i | −0.468378 | − | 0.468378i | ||||
\(476\) | −1.01271e36 | − | 1.84413e36i | −0.720762 | − | 1.31250i | ||||
\(477\) | 2.00129e36 | − | 2.00129e36i | 1.38456 | − | 1.38456i | ||||
\(478\) | −1.44758e36 | + | 3.71318e35i | −0.973564 | + | 0.249729i | ||||
\(479\) | −1.37145e36 | −0.896704 | −0.448352 | − | 0.893857i | \(-0.647989\pi\) | ||||
−0.448352 | + | 0.893857i | \(0.647989\pi\) | |||||||
\(480\) | −1.21277e36 | + | 3.71790e36i | −0.770941 | + | 2.36342i | ||||
\(481\) | 1.52557e36 | 0.942917 | ||||||||
\(482\) | 1.04371e36 | − | 2.67723e35i | 0.627257 | − | 0.160898i | ||||
\(483\) | 2.64221e36 | − | 2.64221e36i | 1.54412 | − | 1.54412i | ||||
\(484\) | 1.47199e34 | + | 2.68047e34i | 0.00836550 | + | 0.0152335i | ||||
\(485\) | 1.95829e36 | + | 1.95829e36i | 1.08234 | + | 1.08234i | ||||
\(486\) | −1.02179e36 | + | 1.72685e36i | −0.549254 | + | 0.928249i | ||||
\(487\) | − | 7.45130e35i | − | 0.389575i | −0.980845 | − | 0.194787i | \(-0.937598\pi\) | ||
0.980845 | − | 0.194787i | \(-0.0624017\pi\) | |||||||
\(488\) | 8.07292e34 | − | 2.51334e36i | 0.0410547 | − | 1.27816i | ||||
\(489\) | 4.63116e35i | 0.229097i | ||||||||
\(490\) | 3.24518e36 | + | 1.92020e36i | 1.56168 | + | 0.924060i | ||||
\(491\) | 1.35757e36 | + | 1.35757e36i | 0.635566 | + | 0.635566i | 0.949458 | − | 0.313893i | \(-0.101633\pi\) |
−0.313893 | + | 0.949458i | \(0.601633\pi\) | |||||||
\(492\) | 2.43440e36 | + | 7.08479e35i | 1.10883 | + | 0.322699i | ||||
\(493\) | −2.90271e36 | + | 2.90271e36i | −1.28638 | + | 1.28638i | ||||
\(494\) | −3.52751e35 | − | 1.37519e36i | −0.152109 | − | 0.592993i | ||||
\(495\) | 5.85840e36 | 2.45815 | ||||||||
\(496\) | 1.08279e36 | − | 1.70272e36i | 0.442121 | − | 0.695250i | ||||
\(497\) | −5.26244e36 | −2.09111 | ||||||||
\(498\) | 1.03967e35 | + | 4.05313e35i | 0.0402067 | + | 0.156745i | ||||
\(499\) | −3.19342e36 | + | 3.19342e36i | −1.20199 | + | 1.20199i | −0.228423 | + | 0.973562i | \(0.573357\pi\) |
−0.973562 | + | 0.228423i | \(0.926643\pi\) | |||||||
\(500\) | −4.75954e35 | + | 1.63542e36i | −0.174369 | + | 0.599149i | ||||
\(501\) | 2.48466e36 | + | 2.48466e36i | 0.886049 | + | 0.886049i | ||||
\(502\) | 1.44999e36 | + | 8.57972e35i | 0.503343 | + | 0.297833i | ||||
\(503\) | − | 4.92464e36i | − | 1.66420i | −0.554622 | − | 0.832102i | \(-0.687137\pi\) | ||
0.554622 | − | 0.832102i | \(-0.312863\pi\) | |||||||
\(504\) | −5.13607e36 | + | 4.81639e36i | −1.68973 | + | 1.58456i | ||||
\(505\) | 5.22758e36i | 1.67443i | ||||||||
\(506\) | −1.52207e36 | + | 2.57232e36i | −0.474682 | + | 0.802220i | ||||
\(507\) | −2.54096e36 | − | 2.54096e36i | −0.771596 | − | 0.771596i | ||||
\(508\) | 3.24583e36 | − | 1.78246e36i | 0.959768 | − | 0.527059i | ||||
\(509\) | 6.62858e35 | − | 6.62858e35i | 0.190867 | − | 0.190867i | −0.605204 | − | 0.796071i | \(-0.706908\pi\) |
0.796071 | + | 0.605204i | \(0.206908\pi\) | |||||||
\(510\) | 8.72754e36 | − | 2.23870e36i | 2.44734 | − | 0.627768i | ||||
\(511\) | 5.36118e36 | 1.46412 | ||||||||
\(512\) | 2.39044e36 | + | 2.90182e36i | 0.635820 | + | 0.771837i | ||||
\(513\) | 1.67315e36 | 0.433460 | ||||||||
\(514\) | −2.98184e35 | + | 7.64872e34i | −0.0752458 | + | 0.0193013i | ||||
\(515\) | −5.73765e36 | + | 5.73765e36i | −1.41038 | + | 1.41038i | ||||
\(516\) | −4.03792e36 | + | 2.21744e36i | −0.966911 | + | 0.530982i | ||||
\(517\) | −1.53974e36 | − | 1.53974e36i | −0.359190 | − | 0.359190i | ||||
\(518\) | 2.40128e36 | − | 4.05821e36i | 0.545747 | − | 0.922322i | ||||
\(519\) | − | 1.27064e37i | − | 2.81361i | ||||||
\(520\) | −6.79326e36 | + | 6.37044e36i | −1.46566 | + | 1.37443i | ||||
\(521\) | − | 7.74557e36i | − | 1.62834i | −0.580629 | − | 0.814169i | \(-0.697193\pi\) | ||
0.580629 | − | 0.814169i | \(-0.302807\pi\) | |||||||
\(522\) | 1.18235e37 | + | 6.99608e36i | 2.42211 | + | 1.43319i | ||||
\(523\) | −9.70340e35 | − | 9.70340e35i | −0.193710 | − | 0.193710i | 0.603587 | − | 0.797297i | \(-0.293737\pi\) |
−0.797297 | + | 0.603587i | \(0.793737\pi\) | |||||||
\(524\) | −6.95719e35 | + | 2.39055e36i | −0.135351 | + | 0.465079i | ||||
\(525\) | −1.23600e37 | + | 1.23600e37i | −2.34352 | + | 2.34352i | ||||
\(526\) | −1.37630e36 | − | 5.36548e36i | −0.254334 | − | 0.991519i | ||||
\(527\) | −4.64903e36 | −0.837373 | ||||||||
\(528\) | 4.94441e36 | − | 7.77525e36i | 0.868074 | − | 1.36507i | ||||
\(529\) | 8.52890e35 | 0.145963 | ||||||||
\(530\) | −2.87493e36 | − | 1.12079e37i | −0.479626 | − | 1.86981i | ||||
\(531\) | 8.39974e36 | − | 8.39974e36i | 1.36612 | − | 1.36612i | ||||
\(532\) | −4.21343e36 | − | 1.22623e36i | −0.668080 | − | 0.194430i | ||||
\(533\) | 4.26937e36 | + | 4.26937e36i | 0.660004 | + | 0.660004i | ||||
\(534\) | −1.19988e37 | − | 7.09981e36i | −1.80855 | − | 1.07014i | ||||
\(535\) | − | 9.08495e36i | − | 1.33520i | ||||||
\(536\) | −3.28147e34 | + | 1.02162e36i | −0.00470266 | + | 0.146408i | ||||
\(537\) | − | 5.25504e35i | − | 0.0734384i | ||||||
\(538\) | −2.89183e36 | + | 4.88723e36i | −0.394105 | + | 0.666043i | ||||
\(539\) | −6.28222e36 | − | 6.28222e36i | −0.834959 | − | 0.834959i | ||||
\(540\) | −5.28298e36 | − | 9.62024e36i | −0.684799 | − | 1.24701i | ||||
\(541\) | −1.75599e36 | + | 1.75599e36i | −0.222003 | + | 0.222003i | −0.809341 | − | 0.587339i | \(-0.800176\pi\) |
0.587339 | + | 0.809341i | \(0.300176\pi\) | |||||||
\(542\) | 9.20505e36 | − | 2.36119e36i | 1.13510 | − | 0.291166i | ||||
\(543\) | −1.33052e37 | −1.60039 | ||||||||
\(544\) | 2.68623e36 | − | 8.23498e36i | 0.315180 | − | 0.966223i | ||||
\(545\) | −1.60744e37 | −1.83985 | ||||||||
\(546\) | −2.65719e37 | + | 6.81596e36i | −2.96703 | + | 0.761074i | ||||
\(547\) | 5.24181e36 | − | 5.24181e36i | 0.571021 | − | 0.571021i | −0.361392 | − | 0.932414i | \(-0.617699\pi\) |
0.932414 | + | 0.361392i | \(0.117699\pi\) | |||||||
\(548\) | −3.37666e34 | − | 6.14884e34i | −0.00358880 | − | 0.00653515i | ||||
\(549\) | 1.37104e37 | + | 1.37104e37i | 1.42175 | + | 1.42175i | ||||
\(550\) | 7.12013e36 | − | 1.20331e37i | 0.720429 | − | 1.21754i | ||||
\(551\) | 8.56215e36i | 0.845349i | ||||||||
\(552\) | 1.53763e37 | + | 4.93889e35i | 1.48140 | + | 0.0475830i | ||||
\(553\) | − | 1.02477e36i | − | 0.0963468i | ||||||
\(554\) | 1.04499e37 | + | 6.18333e36i | 0.958808 | + | 0.567337i | ||||
\(555\) | 1.42794e37 | + | 1.42794e37i | 1.27866 | + | 1.27866i | ||||
\(556\) | −7.03097e36 | − | 2.04621e36i | −0.614477 | − | 0.178830i | ||||
\(557\) | 4.03049e36 | − | 4.03049e36i | 0.343805 | − | 0.343805i | −0.513991 | − | 0.857796i | \(-0.671833\pi\) |
0.857796 | + | 0.513991i | \(0.171833\pi\) | |||||||
\(558\) | 3.86583e36 | + | 1.50709e37i | 0.321870 | + | 1.25481i | ||||
\(559\) | −1.09704e37 | −0.891588 | ||||||||
\(560\) | 6.25341e36 | + | 2.80981e37i | 0.496111 | + | 2.22915i | ||||
\(561\) | −2.12292e37 | −1.64412 | ||||||||
\(562\) | 3.38784e36 | + | 1.32074e37i | 0.256143 | + | 0.998569i | ||||
\(563\) | 4.13227e36 | − | 4.13227e36i | 0.305018 | − | 0.305018i | −0.537955 | − | 0.842973i | \(-0.680803\pi\) |
0.842973 | + | 0.537955i | \(0.180803\pi\) | |||||||
\(564\) | −3.13188e36 | + | 1.07614e37i | −0.225703 | + | 0.775537i | ||||
\(565\) | −1.01990e37 | − | 1.01990e37i | −0.717634 | − | 0.717634i | ||||
\(566\) | 1.98393e37 | + | 1.17391e37i | 1.36303 | + | 0.806518i | ||||
\(567\) | 2.20108e36i | 0.147661i | ||||||||
\(568\) | −1.48205e37 | − | 1.58042e37i | −0.970869 | − | 1.03531i | ||||
\(569\) | 1.26345e37i | 0.808245i | 0.914705 | + | 0.404123i | \(0.132423\pi\) | ||||
−0.914705 | + | 0.404123i | \(0.867577\pi\) | |||||||
\(570\) | 9.57008e36 | − | 1.61736e37i | 0.597867 | − | 1.01041i | ||||
\(571\) | 5.83670e36 | + | 5.83670e36i | 0.356107 | + | 0.356107i | 0.862376 | − | 0.506269i | \(-0.168976\pi\) |
−0.506269 | + | 0.862376i | \(0.668976\pi\) | |||||||
\(572\) | 1.92334e37 | − | 1.05621e37i | 1.14607 | − | 0.629367i | ||||
\(573\) | 1.36859e37 | − | 1.36859e37i | 0.796500 | − | 0.796500i | ||||
\(574\) | 1.80771e37 | − | 4.63697e36i | 1.02759 | − | 0.263587i | ||||
\(575\) | 2.33443e37 | 1.29618 | ||||||||
\(576\) | −2.89292e37 | − | 1.86034e36i | −1.56904 | − | 0.100900i | ||||
\(577\) | −2.58987e37 | −1.37216 | −0.686080 | − | 0.727526i | \(-0.740670\pi\) | ||||
−0.686080 | + | 0.727526i | \(0.740670\pi\) | |||||||
\(578\) | −6.16185e35 | + | 1.58058e35i | −0.0318923 | + | 0.00818069i | ||||
\(579\) | −6.06900e36 | + | 6.06900e36i | −0.306872 | + | 0.306872i | ||||
\(580\) | 4.92305e37 | − | 2.70351e37i | 2.43196 | − | 1.33552i | ||||
\(581\) | 2.17788e36 | + | 2.17788e36i | 0.105113 | + | 0.105113i | ||||
\(582\) | −1.71034e37 | + | 2.89050e37i | −0.806532 | + | 1.36305i | ||||
\(583\) | 2.72624e37i | 1.25614i | ||||||||
\(584\) | 1.50986e37 | + | 1.61007e37i | 0.679771 | + | 0.724889i | ||||
\(585\) | − | 7.18083e37i | − | 3.15915i | ||||||
\(586\) | 1.38181e37 | + | 8.17629e36i | 0.594058 | + | 0.351511i | ||||
\(587\) | −2.30752e37 | − | 2.30752e37i | −0.969464 | − | 0.969464i | 0.0300831 | − | 0.999547i | \(-0.490423\pi\) |
−0.999547 | + | 0.0300831i | \(0.990423\pi\) | |||||||
\(588\) | −1.27783e37 | + | 4.39073e37i | −0.524660 | + | 1.80278i | ||||
\(589\) | −6.85663e36 | + | 6.85663e36i | −0.275140 | + | 0.275140i | ||||
\(590\) | −1.20666e37 | − | 4.70413e37i | −0.473240 | − | 1.84492i | ||||
\(591\) | −7.21561e37 | −2.76593 | ||||||||
\(592\) | 1.89503e37 | − | 4.21751e36i | 0.710024 | − | 0.158020i | ||||
\(593\) | 2.88143e37 | 1.05528 | 0.527642 | − | 0.849467i | \(-0.323076\pi\) | ||||
0.527642 | + | 0.849467i | \(0.323076\pi\) | |||||||
\(594\) | 6.42525e36 | + | 2.50487e37i | 0.230024 | + | 0.896745i | ||||
\(595\) | 4.68959e37 | − | 4.68959e37i | 1.64118 | − | 1.64118i | ||||
\(596\) | −3.88921e37 | − | 1.13187e37i | −1.33057 | − | 0.387233i | ||||
\(597\) | 4.73802e37 | + | 4.73802e37i | 1.58469 | + | 1.58469i | ||||
\(598\) | 3.15298e37 | + | 1.86565e37i | 1.03099 | + | 0.610048i | ||||
\(599\) | 2.55414e36i | 0.0816551i | 0.999166 | + | 0.0408275i | \(0.0129994\pi\) | ||||
−0.999166 | + | 0.0408275i | \(0.987001\pi\) | |||||||
\(600\) | −7.19290e37 | − | 2.31038e36i | −2.24834 | − | 0.0722172i | ||||
\(601\) | 2.21970e37i | 0.678404i | 0.940714 | + | 0.339202i | \(0.110157\pi\) | ||||
−0.940714 | + | 0.339202i | \(0.889843\pi\) | |||||||
\(602\) | −1.72677e37 | + | 2.91827e37i | −0.516039 | + | 0.872114i | ||||
\(603\) | −5.57297e36 | − | 5.57297e36i | −0.162856 | − | 0.162856i | ||||
\(604\) | −1.05682e37 | − | 1.92446e37i | −0.301997 | − | 0.549933i | ||||
\(605\) | −6.81638e35 | + | 6.81638e35i | −0.0190483 | + | 0.0190483i | ||||
\(606\) | −6.14087e37 | + | 1.57520e37i | −1.67822 | + | 0.430481i | ||||
\(607\) | 1.12387e37 | 0.300379 | 0.150189 | − | 0.988657i | \(-0.452012\pi\) | ||||
0.150189 | + | 0.988657i | \(0.452012\pi\) | |||||||
\(608\) | −8.18358e36 | − | 1.61072e37i | −0.213917 | − | 0.421037i | ||||
\(609\) | 1.65441e38 | 4.22969 | ||||||||
\(610\) | 7.67825e37 | − | 1.96955e37i | 1.92004 | − | 0.492509i | ||||
\(611\) | −1.88730e37 | + | 1.88730e37i | −0.461621 | + | 0.461621i | ||||
\(612\) | 3.21490e37 | + | 5.85429e37i | 0.769171 | + | 1.40065i | ||||
\(613\) | −9.54654e36 | − | 9.54654e36i | −0.223424 | − | 0.223424i | 0.586515 | − | 0.809939i | \(-0.300500\pi\) |
−0.809939 | + | 0.586515i | \(0.800500\pi\) | |||||||
\(614\) | 2.32126e37 | − | 3.92297e37i | 0.531436 | − | 0.898135i | ||||
\(615\) | 7.99227e37i | 1.79001i | ||||||||
\(616\) | 2.17738e36 | − | 6.77884e37i | 0.0477083 | − | 1.48530i | ||||
\(617\) | − | 1.88273e37i | − | 0.403587i | −0.979428 | − | 0.201794i | \(-0.935323\pi\) | ||
0.979428 | − | 0.201794i | \(-0.0646770\pi\) | |||||||
\(618\) | −8.46896e37 | − | 5.01117e37i | −1.77617 | − | 1.05098i | ||||
\(619\) | 5.64391e37 | + | 5.64391e37i | 1.15813 | + | 1.15813i | 0.984878 | + | 0.173250i | \(0.0554269\pi\) |
0.173250 | + | 0.984878i | \(0.444573\pi\) | |||||||
\(620\) | 6.10741e37 | + | 1.77743e37i | 1.22622 | + | 0.356865i | ||||
\(621\) | −3.05299e37 | + | 3.05299e37i | −0.599775 | + | 0.599775i | ||||
\(622\) | 4.96757e36 | + | 1.93660e37i | 0.0954934 | + | 0.372279i | ||||
\(623\) | −1.02623e38 | −1.93044 | ||||||||
\(624\) | −9.53037e37 | − | 6.06052e37i | −1.75436 | − | 1.11562i | ||||
\(625\) | 2.41669e37 | 0.435352 | ||||||||
\(626\) | 9.66851e36 | + | 3.76925e37i | 0.170454 | + | 0.664510i | ||||
\(627\) | −3.13099e37 | + | 3.13099e37i | −0.540219 | + | 0.540219i | ||||
\(628\) | −3.51851e36 | + | 1.20899e37i | −0.0594160 | + | 0.204159i | ||||
\(629\) | −3.16282e37 | − | 3.16282e37i | −0.522745 | − | 0.522745i | ||||
\(630\) | −1.91019e38 | − | 1.13028e38i | −3.09015 | − | 1.82847i | ||||
\(631\) | − | 3.51996e37i | − | 0.557368i | −0.960383 | − | 0.278684i | \(-0.910102\pi\) | ||
0.960383 | − | 0.278684i | \(-0.0898982\pi\) | |||||||
\(632\) | 3.07759e36 | − | 2.88604e36i | 0.0477014 | − | 0.0447324i | ||||
\(633\) | − | 8.23408e37i | − | 1.24930i | ||||||
\(634\) | −8.18444e36 | + | 1.38318e37i | −0.121558 | + | 0.205435i | ||||
\(635\) | 8.25408e37 | + | 8.25408e37i | 1.20012 | + | 1.20012i | ||||
\(636\) | 1.22997e38 | − | 6.75440e37i | 1.75074 | − | 0.961425i | ||||
\(637\) | −7.70032e37 | + | 7.70032e37i | −1.07307 | + | 1.07307i | ||||
\(638\) | −1.28184e38 | + | 3.28806e37i | −1.74886 | + | 0.448601i | ||||
\(639\) | 1.67059e38 | 2.23155 | ||||||||
\(640\) | −6.67730e37 | + | 9.79125e37i | −0.873316 | + | 1.28058i | ||||
\(641\) | −6.31267e37 | −0.808407 | −0.404203 | − | 0.914669i | \(-0.632451\pi\) | ||||
−0.404203 | + | 0.914669i | \(0.632451\pi\) | |||||||
\(642\) | 1.06721e38 | − | 2.73751e37i | 1.33822 | − | 0.343268i | ||||
\(643\) | 4.84842e37 | − | 4.84842e37i | 0.595323 | − | 0.595323i | −0.343742 | − | 0.939064i | \(-0.611694\pi\) |
0.939064 | + | 0.343742i | \(0.111694\pi\) | |||||||
\(644\) | 9.92572e37 | − | 5.45074e37i | 1.19345 | − | 0.655385i | ||||
\(645\) | −1.02683e38 | − | 1.02683e38i | −1.20905 | − | 1.20905i | ||||
\(646\) | −2.11973e37 | + | 3.58238e37i | −0.244423 | + | 0.413078i | ||||
\(647\) | − | 6.88709e37i | − | 0.777728i | −0.921295 | − | 0.388864i | \(-0.872868\pi\) | ||
0.921295 | − | 0.388864i | \(-0.127132\pi\) | |||||||
\(648\) | −6.61030e36 | + | 6.19887e36i | −0.0731069 | + | 0.0685567i | ||||
\(649\) | 1.14425e38i | 1.23942i | ||||||||
\(650\) | −1.47494e38 | − | 8.72736e37i | −1.56474 | − | 0.925876i | ||||
\(651\) | 1.32486e38 | + | 1.32486e38i | 1.37666 | + | 1.37666i | ||||
\(652\) | −3.92179e36 | + | 1.34756e37i | −0.0399155 | + | 0.137153i | ||||
\(653\) | 1.13996e38 | − | 1.13996e38i | 1.13648 | − | 1.13648i | 0.147404 | − | 0.989076i | \(-0.452908\pi\) |
0.989076 | − | 0.147404i | \(-0.0470919\pi\) | |||||||
\(654\) | −4.84362e37 | − | 1.88828e38i | −0.473010 | − | 1.84402i | ||||
\(655\) | −7.84832e37 | −0.750791 | ||||||||
\(656\) | 6.48361e37 | + | 4.12303e37i | 0.607596 | + | 0.386380i | ||||
\(657\) | −1.70193e38 | −1.56246 | ||||||||
\(658\) | 2.04981e37 | + | 7.99113e37i | 0.184358 | + | 0.718718i | ||||
\(659\) | 1.21592e38 | − | 1.21592e38i | 1.07140 | − | 1.07140i | 0.0741496 | − | 0.997247i | \(-0.476376\pi\) |
0.997247 | − | 0.0741496i | \(-0.0236242\pi\) | |||||||
\(660\) | 2.78887e38 | + | 8.11639e37i | 2.40760 | + | 0.700680i | ||||
\(661\) | −3.46152e37 | − | 3.46152e37i | −0.292783 | − | 0.292783i | 0.545395 | − | 0.838179i | \(-0.316380\pi\) |
−0.838179 | + | 0.545395i | \(0.816380\pi\) | |||||||
\(662\) | −2.62198e37 | − | 1.55145e37i | −0.217293 | − | 0.128575i | ||||
\(663\) | 2.60213e38i | 2.11298i | ||||||||
\(664\) | −4.07096e35 | + | 1.26741e37i | −0.00323912 | + | 0.100844i | ||||
\(665\) | − | 1.38329e38i | − | 1.07850i | ||||||
\(666\) | −7.62298e37 | + | 1.28830e38i | −0.582402 | + | 0.984268i | ||||
\(667\) | −1.56233e38 | − | 1.56233e38i | −1.16970 | − | 1.16970i | ||||
\(668\) | 5.12573e37 | + | 9.33388e37i | 0.376074 | + | 0.684826i | ||||
\(669\) | −1.70166e37 | + | 1.70166e37i | −0.122355 | + | 0.122355i | ||||
\(670\) | −3.12105e37 | + | 8.00580e36i | −0.219933 | + | 0.0564150i | ||||
\(671\) | −1.86769e38 | −1.28988 | ||||||||
\(672\) | −3.11228e38 | + | 1.58126e38i | −2.10665 | + | 1.07033i | ||||
\(673\) | 5.66114e36 | 0.0375578 | 0.0187789 | − | 0.999824i | \(-0.494022\pi\) | ||||
0.0187789 | + | 0.999824i | \(0.494022\pi\) | |||||||
\(674\) | −1.10201e38 | + | 2.82676e37i | −0.716600 | + | 0.183815i | ||||
\(675\) | 1.42816e38 | − | 1.42816e38i | 0.910284 | − | 0.910284i | ||||
\(676\) | −5.24187e37 | − | 9.54538e37i | −0.327496 | − | 0.596366i | ||||
\(677\) | 4.22629e37 | + | 4.22629e37i | 0.258829 | + | 0.258829i | 0.824578 | − | 0.565749i | \(-0.191413\pi\) |
−0.565749 | + | 0.824578i | \(0.691413\pi\) | |||||||
\(678\) | 8.90762e37 | − | 1.50540e38i | 0.534762 | − | 0.903757i | ||||
\(679\) | 2.47218e38i | 1.45492i | ||||||||
\(680\) | 2.72910e38 | + | 8.76593e36i | 1.57452 | + | 0.0505741i | ||||
\(681\) | − | 4.13805e38i | − | 2.34051i | ||||||
\(682\) | −1.28982e38 | − | 7.63199e37i | −0.715220 | − | 0.423203i | ||||
\(683\) | 7.37223e37 | + | 7.37223e37i | 0.400792 | + | 0.400792i | 0.878512 | − | 0.477720i | \(-0.158537\pi\) |
−0.477720 | + | 0.878512i | \(0.658537\pi\) | |||||||
\(684\) | 1.33757e38 | + | 3.89270e37i | 0.712950 | + | 0.207489i | ||||
\(685\) | 1.56364e36 | − | 1.56364e36i | 0.00817172 | − | 0.00817172i | ||||
\(686\) | 1.21935e37 | + | 4.75360e37i | 0.0624815 | + | 0.243583i | ||||
\(687\) | −5.53764e38 | −2.78233 | ||||||||
\(688\) | −1.36272e38 | + | 3.03282e37i | −0.671373 | + | 0.149418i | ||||
\(689\) | 3.34164e38 | 1.61436 | ||||||||
\(690\) | 1.20494e38 | + | 4.69744e38i | 0.570825 | + | 2.22535i | ||||
\(691\) | 1.10919e38 | − | 1.10919e38i | 0.515289 | − | 0.515289i | −0.400853 | − | 0.916142i | \(-0.631286\pi\) |
0.916142 | + | 0.400853i | \(0.131286\pi\) | |||||||
\(692\) | 1.07601e38 | − | 3.69729e38i | 0.490214 | − | 1.68442i | ||||
\(693\) | 3.69787e38 | + | 3.69787e38i | 1.65217 | + | 1.65217i | ||||
\(694\) | 7.49408e36 | + | 4.43433e36i | 0.0328372 | + | 0.0194301i | ||||
\(695\) | − | 2.30831e38i | − | 0.991971i | ||||||
\(696\) | 4.65927e38 | + | 4.96851e38i | 1.96378 | + | 2.09412i | ||||
\(697\) | − | 1.77025e38i | − | 0.731801i | ||||||
\(698\) | 1.82234e37 | − | 3.07978e37i | 0.0738892 | − | 0.124874i | ||||
\(699\) | −6.45890e37 | − | 6.45890e37i | −0.256872 | − | 0.256872i | ||||
\(700\) | −4.64318e38 | + | 2.54981e38i | −1.81130 | + | 0.994683i | ||||
\(701\) | −3.32141e38 | + | 3.32141e38i | −1.27095 | + | 1.27095i | −0.325365 | + | 0.945588i | \(0.605487\pi\) |
−0.945588 | + | 0.325365i | \(0.894513\pi\) | |||||||
\(702\) | 3.07030e38 | − | 7.87563e37i | 1.15247 | − | 0.295621i | ||||
\(703\) | −9.32937e37 | −0.343523 | ||||||||
\(704\) | 2.09714e38 | − | 1.84372e38i | 0.757525 | − | 0.665984i | ||||
\(705\) | −3.53304e38 | −1.25197 | ||||||||
\(706\) | −2.77259e37 | + | 7.11198e36i | −0.0963879 | + | 0.0247245i | ||||
\(707\) | −3.29969e38 | + | 3.29969e38i | −1.12541 | + | 1.12541i | ||||
\(708\) | 5.16238e38 | − | 2.83494e38i | 1.72743 | − | 0.948625i | ||||
\(709\) | 9.28028e37 | + | 9.28028e37i | 0.304675 | + | 0.304675i | 0.842840 | − | 0.538165i | \(-0.180882\pi\) |
−0.538165 | + | 0.842840i | \(0.680882\pi\) | |||||||
\(710\) | 3.47798e38 | − | 5.87785e38i | 1.12031 | − | 1.89335i | ||||
\(711\) | 3.25318e37i | 0.102818i | ||||||||
\(712\) | −2.89015e38 | − | 3.08198e38i | −0.896274 | − | 0.955761i | ||||
\(713\) | − | 2.50226e38i | − | 0.761418i | ||||||
\(714\) | 6.92199e38 | + | 4.09581e38i | 2.06683 | + | 1.22296i | ||||
\(715\) | 4.89102e38 | + | 4.89102e38i | 1.43307 | + | 1.43307i | ||||
\(716\) | 4.45011e36 | − | 1.52910e37i | 0.0127951 | − | 0.0439653i | ||||
\(717\) | 4.03975e38 | − | 4.03975e38i | 1.13985 | − | 1.13985i | ||||
\(718\) | 1.38563e38 | + | 5.40185e38i | 0.383678 | + | 1.49576i | ||||
\(719\) | 3.56905e38 | 0.969869 | 0.484934 | − | 0.874551i | \(-0.338843\pi\) | ||||
0.484934 | + | 0.874551i | \(0.338843\pi\) | |||||||
\(720\) | −1.98517e38 | − | 8.91987e38i | −0.529431 | − | 2.37887i | ||||
\(721\) | −7.24331e38 | −1.89588 | ||||||||
\(722\) | −7.51488e37 | − | 2.92966e38i | −0.193050 | − | 0.752602i | ||||
\(723\) | −2.91269e38 | + | 2.91269e38i | −0.734390 | + | 0.734390i | ||||
\(724\) | −3.87153e38 | − | 1.12672e38i | −0.958102 | − | 0.278835i | ||||
\(725\) | 7.30847e38 | + | 7.30847e38i | 1.77527 | + | 1.77527i | ||||
\(726\) | −1.00612e37 | − | 5.95331e36i | −0.0239886 | − | 0.0141943i | ||||
\(727\) | 3.75790e37i | 0.0879491i | 0.999033 | + | 0.0439745i | \(0.0140020\pi\) | ||||
−0.999033 | + | 0.0439745i | \(0.985998\pi\) | |||||||
\(728\) | −8.30903e38 | − | 2.66888e37i | −1.90887 | − | 0.0613134i | ||||
\(729\) | − | 7.22622e38i | − | 1.62963i | ||||||
\(730\) | −3.54324e38 | + | 5.98813e38i | −0.784407 | + | 1.32566i | ||||
\(731\) | 2.27439e38 | + | 2.27439e38i | 0.494289 | + | 0.494289i | ||||
\(732\) | 4.62729e38 | + | 8.42622e38i | 0.987249 | + | 1.79777i | ||||
\(733\) | −5.63729e38 | + | 5.63729e38i | −1.18077 | + | 1.18077i | −0.201229 | + | 0.979544i | \(0.564494\pi\) |
−0.979544 | + | 0.201229i | \(0.935506\pi\) | |||||||
\(734\) | 1.67518e38 | − | 4.29702e37i | 0.344481 | − | 0.0883629i | ||||
\(735\) | −1.44150e39 | −2.91029 | ||||||||
\(736\) | 4.43233e38 | + | 1.44581e38i | 0.878580 | + | 0.286591i | ||||
\(737\) | 7.59174e37 | 0.147751 | ||||||||
\(738\) | −5.73867e38 | + | 1.47203e38i | −1.09661 | + | 0.281290i | ||||
\(739\) | 1.78384e38 | − | 1.78384e38i | 0.334699 | − | 0.334699i | −0.519669 | − | 0.854368i | \(-0.673945\pi\) |
0.854368 | + | 0.519669i | \(0.173945\pi\) | |||||||
\(740\) | 2.94576e38 | + | 5.36419e38i | 0.542712 | + | 0.988271i | ||||
\(741\) | 3.83775e38 | + | 3.83775e38i | 0.694274 | + | 0.694274i | ||||
\(742\) | 5.25981e38 | − | 8.88917e38i | 0.934367 | − | 1.57910i | ||||
\(743\) |