Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [9,9,Mod(2,9)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(9, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("9.2");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 9 = 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 9.d (of order \(6\), 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: | \(3.66640749055\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - x^{13} + 427 x^{12} - 1362 x^{11} + 135762 x^{10} - 371244 x^{9} + 18261508 x^{8} + \cdots + 872385888256 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{6}\cdot 3^{21} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.2 | ||
Root | \(5.69757 - 9.86849i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 9.5 |
Dual form | 9.9.d.a.2.2 |
$q$-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 \(\left(\mathbb{Z}/9\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −17.0927 | + | 9.86849i | −1.06830 | + | 0.616781i | −0.927715 | − | 0.373289i | \(-0.878230\pi\) |
−0.140580 | + | 0.990069i | \(0.544897\pi\) | |||||||
\(3\) | 51.0315 | + | 62.9030i | 0.630018 | + | 0.776581i | ||||
\(4\) | 66.7741 | − | 115.656i | 0.260836 | − | 0.451782i | ||||
\(5\) | −896.557 | − | 517.627i | −1.43449 | − | 0.828203i | −0.437031 | − | 0.899446i | \(-0.643970\pi\) |
−0.997459 | + | 0.0712428i | \(0.977303\pi\) | |||||||
\(6\) | −1493.02 | − | 571.581i | −1.15202 | − | 0.441035i | ||||
\(7\) | −21.9132 | − | 37.9547i | −0.00912668 | − | 0.0158079i | 0.861426 | − | 0.507883i | \(-0.169572\pi\) |
−0.870553 | + | 0.492075i | \(0.836238\pi\) | |||||||
\(8\) | − | 2416.83i | − | 0.590046i | ||||||
\(9\) | −1352.58 | + | 6420.07i | −0.206155 | + | 0.978519i | ||||
\(10\) | 20432.8 | 2.04328 | ||||||||
\(11\) | −15260.9 | + | 8810.88i | −1.04234 | + | 0.601795i | −0.920495 | − | 0.390754i | \(-0.872214\pi\) |
−0.121844 | + | 0.992549i | \(0.538881\pi\) | |||||||
\(12\) | 10682.7 | − | 1701.81i | 0.515177 | − | 0.0820702i | ||||
\(13\) | 616.107 | − | 1067.13i | 0.0215716 | − | 0.0373632i | −0.855038 | − | 0.518565i | \(-0.826466\pi\) |
0.876610 | + | 0.481202i | \(0.159800\pi\) | |||||||
\(14\) | 749.111 | + | 432.500i | 0.0195000 | + | 0.0112583i | ||||
\(15\) | −13192.3 | − | 82811.4i | −0.260588 | − | 1.63578i | ||||
\(16\) | 40944.6 | + | 70918.1i | 0.624765 | + | 1.08212i | ||||
\(17\) | 106083.i | 1.27014i | 0.772454 | + | 0.635070i | \(0.219029\pi\) | ||||
−0.772454 | + | 0.635070i | \(0.780971\pi\) | |||||||
\(18\) | −40237.0 | − | 123084.i | −0.383297 | − | 1.17250i | ||||
\(19\) | −115788. | −0.888483 | −0.444241 | − | 0.895907i | \(-0.646527\pi\) | ||||
−0.444241 | + | 0.895907i | \(0.646527\pi\) | |||||||
\(20\) | −119734. | + | 69128.2i | −0.748335 | + | 0.432051i | ||||
\(21\) | 1269.21 | − | 3315.29i | 0.00652612 | − | 0.0170468i | ||||
\(22\) | 173900. | − | 301204.i | 0.742351 | − | 1.28579i | ||||
\(23\) | −97603.8 | − | 56351.6i | −0.348783 | − | 0.201370i | 0.315366 | − | 0.948970i | \(-0.397873\pi\) |
−0.664149 | + | 0.747600i | \(0.731206\pi\) | |||||||
\(24\) | 152026. | − | 123334.i | 0.458218 | − | 0.371739i | ||||
\(25\) | 340563. | + | 589873.i | 0.871842 | + | 1.51007i | ||||
\(26\) | 24320.2i | 0.0532198i | ||||||||
\(27\) | −472866. | + | 242544.i | −0.889780 | + | 0.456389i | ||||
\(28\) | −5852.93 | −0.00952228 | ||||||||
\(29\) | 720846. | − | 416181.i | 1.01918 | − | 0.588423i | 0.105313 | − | 0.994439i | \(-0.466416\pi\) |
0.913866 | + | 0.406016i | \(0.133082\pi\) | |||||||
\(30\) | 1.04271e6 | + | 1.28528e6i | 1.28730 | + | 1.58677i | ||||
\(31\) | 128526. | − | 222614.i | 0.139170 | − | 0.241049i | −0.788013 | − | 0.615659i | \(-0.788890\pi\) |
0.927183 | + | 0.374610i | \(0.122223\pi\) | |||||||
\(32\) | −863893. | − | 498769.i | −0.823873 | − | 0.475663i | ||||
\(33\) | −1.33302e6 | − | 510324.i | −1.12403 | − | 0.430319i | ||||
\(34\) | −1.04688e6 | − | 1.81325e6i | −0.783398 | − | 1.35688i | ||||
\(35\) | 45371.4i | 0.0302350i | ||||||||
\(36\) | 652203. | + | 585129.i | 0.388305 | + | 0.348371i | ||||
\(37\) | −2.84152e6 | −1.51615 | −0.758077 | − | 0.652166i | \(-0.773861\pi\) | ||||
−0.758077 | + | 0.652166i | \(0.773861\pi\) | |||||||
\(38\) | 1.97913e6 | − | 1.14265e6i | 0.949162 | − | 0.547999i | ||||
\(39\) | 98566.5 | − | 15702.1i | 0.0426060 | − | 0.00678735i | ||||
\(40\) | −1.25102e6 | + | 2.16682e6i | −0.488678 | + | 0.846415i | ||||
\(41\) | 2.51758e6 | + | 1.45352e6i | 0.890938 | + | 0.514383i | 0.874249 | − | 0.485477i | \(-0.161354\pi\) |
0.0166889 | + | 0.999861i | \(0.494688\pi\) | |||||||
\(42\) | 11022.7 | + | 69192.4i | 0.00354235 | + | 0.0222362i | ||||
\(43\) | 791952. | + | 1.37170e6i | 0.231646 | + | 0.401223i | 0.958293 | − | 0.285789i | \(-0.0922555\pi\) |
−0.726647 | + | 0.687012i | \(0.758922\pi\) | |||||||
\(44\) | 2.35335e6i | 0.627880i | ||||||||
\(45\) | 4.53587e6 | − | 5.05582e6i | 1.10614 | − | 1.23294i | ||||
\(46\) | 2.22442e6 | 0.496804 | ||||||||
\(47\) | 1.36669e6 | − | 789058.i | 0.280077 | − | 0.161703i | −0.353381 | − | 0.935479i | \(-0.614968\pi\) |
0.633458 | + | 0.773777i | \(0.281635\pi\) | |||||||
\(48\) | −2.37150e6 | + | 6.19460e6i | −0.446744 | + | 1.16694i | ||||
\(49\) | 2.88144e6 | − | 4.99080e6i | 0.499833 | − | 0.865737i | ||||
\(50\) | −1.16423e7 | − | 6.72169e6i | −1.86277 | − | 1.07547i | ||||
\(51\) | −6.67297e6 | + | 5.41359e6i | −0.986366 | + | 0.800211i | ||||
\(52\) | −82280.0 | − | 142513.i | −0.0112533 | − | 0.0194913i | ||||
\(53\) | 8.77050e6i | 1.11153i | 0.831340 | + | 0.555765i | \(0.187574\pi\) | ||||
−0.831340 | + | 0.555765i | \(0.812426\pi\) | |||||||
\(54\) | 5.68902e6 | − | 8.81220e6i | 0.669056 | − | 1.03636i | ||||
\(55\) | 1.82430e7 | 1.99363 | ||||||||
\(56\) | −91730.0 | + | 52960.3i | −0.00932737 | + | 0.00538516i | ||||
\(57\) | −5.90883e6 | − | 7.28341e6i | −0.559760 | − | 0.689979i | ||||
\(58\) | −8.21415e6 | + | 1.42273e7i | −0.725856 | + | 1.25722i | ||||
\(59\) | −8.09563e6 | − | 4.67401e6i | −0.668101 | − | 0.385729i | 0.127255 | − | 0.991870i | \(-0.459383\pi\) |
−0.795357 | + | 0.606141i | \(0.792717\pi\) | |||||||
\(60\) | −1.04585e7 | − | 4.00389e6i | −0.806987 | − | 0.308942i | ||||
\(61\) | −2.86318e6 | − | 4.95918e6i | −0.206790 | − | 0.358171i | 0.743911 | − | 0.668278i | \(-0.232968\pi\) |
−0.950702 | + | 0.310107i | \(0.899635\pi\) | |||||||
\(62\) | 5.07344e6i | 0.343349i | ||||||||
\(63\) | 273311. | − | 89347.1i | 0.0173498 | − | 0.00567176i | ||||
\(64\) | −1.27526e6 | −0.0760115 | ||||||||
\(65\) | −1.10475e6 | + | 637828.i | −0.0618886 | + | 0.0357314i | ||||
\(66\) | 2.78210e7 | − | 4.43202e6i | 1.46621 | − | 0.233575i | ||||
\(67\) | 3.95475e6 | − | 6.84983e6i | 0.196255 | − | 0.339923i | −0.751056 | − | 0.660238i | \(-0.770455\pi\) |
0.947311 | + | 0.320315i | \(0.103789\pi\) | |||||||
\(68\) | 1.22692e7 | + | 7.08363e6i | 0.573826 | + | 0.331299i | ||||
\(69\) | −1.43618e6 | − | 9.01527e6i | −0.0633595 | − | 0.397725i | ||||
\(70\) | −447747. | − | 775521.i | −0.0186484 | − | 0.0322999i | ||||
\(71\) | 3.25771e7i | 1.28197i | 0.767552 | + | 0.640987i | \(0.221475\pi\) | ||||
−0.767552 | + | 0.640987i | \(0.778525\pi\) | |||||||
\(72\) | 1.55162e7 | + | 3.26896e6i | 0.577371 | + | 0.121641i | ||||
\(73\) | −2.75564e7 | −0.970357 | −0.485179 | − | 0.874415i | \(-0.661245\pi\) | ||||
−0.485179 | + | 0.874415i | \(0.661245\pi\) | |||||||
\(74\) | 4.85692e7 | − | 2.80415e7i | 1.61970 | − | 0.935134i | ||||
\(75\) | −1.97254e7 | + | 5.15245e7i | −0.623419 | + | 1.62843i | ||||
\(76\) | −7.73164e6 | + | 1.33916e7i | −0.231749 | + | 0.401401i | ||||
\(77\) | 668829. | + | 386148.i | 0.0190262 | + | 0.0109848i | ||||
\(78\) | −1.52981e6 | + | 1.24109e6i | −0.0413295 | + | 0.0335294i | ||||
\(79\) | 616617. | + | 1.06801e6i | 0.0158310 | + | 0.0274200i | 0.873832 | − | 0.486227i | \(-0.161627\pi\) |
−0.858001 | + | 0.513647i | \(0.828294\pi\) | |||||||
\(80\) | − | 8.47762e7i | − | 2.06973i | ||||||
\(81\) | −3.93878e7 | − | 1.73673e7i | −0.915000 | − | 0.403453i | ||||
\(82\) | −5.73764e7 | −1.26905 | ||||||||
\(83\) | −4.84363e7 | + | 2.79647e7i | −1.02061 | + | 0.589248i | −0.914280 | − | 0.405083i | \(-0.867243\pi\) |
−0.106328 | + | 0.994331i | \(0.533909\pi\) | |||||||
\(84\) | −298683. | − | 368167.i | −0.00599921 | − | 0.00739482i | ||||
\(85\) | 5.49116e7 | − | 9.51098e7i | 1.05193 | − | 1.82200i | ||||
\(86\) | −2.70732e7 | − | 1.56307e7i | −0.494933 | − | 0.285750i | ||||
\(87\) | 6.29648e7 | + | 2.41051e7i | 1.09906 | + | 0.420757i | ||||
\(88\) | 2.12944e7 | + | 3.68829e7i | 0.355086 | + | 0.615028i | ||||
\(89\) | − | 4.18280e7i | − | 0.666664i | −0.942810 | − | 0.333332i | \(-0.891827\pi\) | ||
0.942810 | − | 0.333332i | \(-0.108173\pi\) | |||||||
\(90\) | −2.76370e7 | + | 1.31180e8i | −0.421232 | + | 1.99939i | ||||
\(91\) | −54003.4 | −0.000787509 | ||||||||
\(92\) | −1.30348e7 | + | 7.52565e6i | −0.181951 | + | 0.105049i | ||||
\(93\) | 2.05620e7 | − | 3.27562e6i | 0.274874 | − | 0.0437887i | ||||
\(94\) | −1.55736e7 | + | 2.69743e7i | −0.199470 | + | 0.345493i | ||||
\(95\) | 1.03810e8 | + | 5.99350e7i | 1.27452 | + | 0.735845i | ||||
\(96\) | −1.27116e7 | − | 7.97944e7i | −0.149664 | − | 0.939480i | ||||
\(97\) | 2.48240e7 | + | 4.29964e7i | 0.280404 | + | 0.485674i | 0.971484 | − | 0.237104i | \(-0.0761982\pi\) |
−0.691080 | + | 0.722778i | \(0.742865\pi\) | |||||||
\(98\) | 1.13742e8i | 1.23315i | ||||||||
\(99\) | −3.59248e7 | − | 1.09893e8i | −0.373985 | − | 1.14401i | ||||
\(100\) | 9.09632e7 | 0.909632 | ||||||||
\(101\) | 2.62430e7 | − | 1.51514e7i | 0.252190 | − | 0.145602i | −0.368577 | − | 0.929597i | \(-0.620155\pi\) |
0.620767 | + | 0.783995i | \(0.286821\pi\) | |||||||
\(102\) | 6.06352e7 | − | 1.58385e8i | 0.560176 | − | 1.46323i | ||||
\(103\) | −7.07563e7 | + | 1.22554e8i | −0.628661 | + | 1.08887i | 0.359160 | + | 0.933276i | \(0.383063\pi\) |
−0.987821 | + | 0.155596i | \(0.950270\pi\) | |||||||
\(104\) | −2.57907e6 | − | 1.48902e6i | −0.0220460 | − | 0.0127282i | ||||
\(105\) | −2.85400e6 | + | 2.31537e6i | −0.0234799 | + | 0.0190486i | ||||
\(106\) | −8.65516e7 | − | 1.49912e8i | −0.685570 | − | 1.18744i | ||||
\(107\) | − | 3.25746e7i | − | 0.248510i | −0.992250 | − | 0.124255i | \(-0.960346\pi\) | ||
0.992250 | − | 0.124255i | \(-0.0396541\pi\) | |||||||
\(108\) | −3.52351e6 | + | 7.08855e7i | −0.0258989 | + | 0.521030i | ||||
\(109\) | 5.87647e7 | 0.416304 | 0.208152 | − | 0.978097i | \(-0.433255\pi\) | ||||
0.208152 | + | 0.978097i | \(0.433255\pi\) | |||||||
\(110\) | −3.11823e8 | + | 1.80031e8i | −2.12979 | + | 1.22963i | ||||
\(111\) | −1.45007e8 | − | 1.78740e8i | −0.955204 | − | 1.17742i | ||||
\(112\) | 1.79445e6 | − | 3.10808e6i | 0.0114041 | − | 0.0197524i | ||||
\(113\) | −7.96692e6 | − | 4.59971e6i | −0.0488626 | − | 0.0282109i | 0.475370 | − | 0.879786i | \(-0.342314\pi\) |
−0.524232 | + | 0.851575i | \(0.675648\pi\) | |||||||
\(114\) | 1.72874e8 | + | 6.61822e7i | 1.02355 | + | 0.391852i | ||||
\(115\) | 5.83382e7 | + | 1.01045e8i | 0.333550 | + | 0.577726i | ||||
\(116\) | − | 1.11160e8i | − | 0.613929i | ||||||
\(117\) | 6.01770e6 | + | 5.39883e6i | 0.0321135 | + | 0.0288108i | ||||
\(118\) | 1.84502e8 | 0.951639 | ||||||||
\(119\) | 4.02636e6 | − | 2.32462e6i | 0.0200782 | − | 0.0115922i | ||||
\(120\) | −2.00141e8 | + | 3.18834e7i | −0.965185 | + | 0.153759i | ||||
\(121\) | 4.80837e7 | − | 8.32834e7i | 0.224314 | − | 0.388523i | ||||
\(122\) | 9.78793e7 | + | 5.65106e7i | 0.441826 | + | 0.255088i | ||||
\(123\) | 3.70446e7 | + | 2.32539e8i | 0.161847 | + | 1.01596i | ||||
\(124\) | −1.71645e7 | − | 2.97297e7i | −0.0726011 | − | 0.125749i | ||||
\(125\) | − | 3.00743e8i | − | 1.23184i | ||||||
\(126\) | −3.78991e6 | + | 4.22435e6i | −0.0150365 | + | 0.0167602i | ||||
\(127\) | −2.62631e8 | −1.00956 | −0.504779 | − | 0.863249i | \(-0.668426\pi\) | ||||
−0.504779 | + | 0.863249i | \(0.668426\pi\) | |||||||
\(128\) | 2.42954e8 | − | 1.40270e8i | 0.905075 | − | 0.522545i | ||||
\(129\) | −4.58697e7 | + | 1.19816e8i | −0.165641 | + | 0.432670i | ||||
\(130\) | 1.25888e7 | − | 2.18044e7i | 0.0440768 | − | 0.0763433i | ||||
\(131\) | 4.24617e7 | + | 2.45153e7i | 0.144182 | + | 0.0832438i | 0.570356 | − | 0.821398i | \(-0.306805\pi\) |
−0.426173 | + | 0.904642i | \(0.640139\pi\) | |||||||
\(132\) | −1.48033e8 | + | 1.20095e8i | −0.487599 | + | 0.395576i | ||||
\(133\) | 2.53728e6 | + | 4.39470e6i | 0.00810890 | + | 0.0140450i | ||||
\(134\) | 1.56110e8i | 0.484184i | ||||||||
\(135\) | 5.49498e8 | + | 2.73140e7i | 1.65436 | + | 0.0822337i | ||||
\(136\) | 2.56385e8 | 0.749441 | ||||||||
\(137\) | −4.44202e7 | + | 2.56460e7i | −0.126095 | + | 0.0728010i | −0.561721 | − | 0.827327i | \(-0.689860\pi\) |
0.435626 | + | 0.900128i | \(0.356527\pi\) | |||||||
\(138\) | 1.13515e8 | + | 1.39923e8i | 0.312996 | + | 0.385808i | ||||
\(139\) | −1.24339e8 | + | 2.15362e8i | −0.333081 | + | 0.576913i | −0.983114 | − | 0.182993i | \(-0.941421\pi\) |
0.650034 | + | 0.759906i | \(0.274755\pi\) | |||||||
\(140\) | 5.24748e6 | + | 3.02963e6i | 0.0136596 | + | 0.00788639i | ||||
\(141\) | 1.19378e8 | + | 4.57021e7i | 0.302029 | + | 0.115627i | ||||
\(142\) | −3.21487e8 | − | 5.56832e8i | −0.790697 | − | 1.36953i | ||||
\(143\) | 2.17138e7i | 0.0519268i | ||||||||
\(144\) | −5.10680e8 | + | 1.66944e8i | −1.18768 | + | 0.388260i | ||||
\(145\) | −8.61705e8 | −1.94934 | ||||||||
\(146\) | 4.71015e8 | − | 2.71940e8i | 1.03663 | − | 0.598497i | ||||
\(147\) | 4.60981e8 | − | 7.34365e7i | 0.987218 | − | 0.157269i | ||||
\(148\) | −1.89740e8 | + | 3.28639e8i | −0.395468 | + | 0.684971i | ||||
\(149\) | −3.87646e7 | − | 2.23807e7i | −0.0786484 | − | 0.0454077i | 0.460160 | − | 0.887836i | \(-0.347792\pi\) |
−0.538808 | + | 0.842428i | \(0.681125\pi\) | |||||||
\(150\) | −1.71309e8 | − | 1.07535e9i | −0.338389 | − | 2.12416i | ||||
\(151\) | 4.22990e7 | + | 7.32641e7i | 0.0813622 | + | 0.140923i | 0.903835 | − | 0.427881i | \(-0.140740\pi\) |
−0.822473 | + | 0.568804i | \(0.807406\pi\) | |||||||
\(152\) | 2.79840e8i | 0.524246i | ||||||||
\(153\) | −6.81062e8 | − | 1.43486e8i | −1.24286 | − | 0.261846i | ||||
\(154\) | −1.52428e7 | −0.0271008 | ||||||||
\(155\) | −2.30462e8 | + | 1.33057e8i | −0.399276 | + | 0.230522i | ||||
\(156\) | 4.76564e6 | − | 1.24483e7i | 0.00804680 | − | 0.0210190i | ||||
\(157\) | 3.12567e8 | − | 5.41383e8i | 0.514452 | − | 0.891057i | −0.485407 | − | 0.874288i | \(-0.661329\pi\) |
0.999859 | − | 0.0167691i | \(-0.00533801\pi\) | |||||||
\(158\) | −2.10793e7 | − | 1.21702e7i | −0.0338243 | − | 0.0195285i | ||||
\(159\) | −5.51691e8 | + | 4.47571e8i | −0.863192 | + | 0.700283i | ||||
\(160\) | 5.16353e8 | + | 8.94349e8i | 0.787892 | + | 1.36467i | ||||
\(161\) | 4.93936e6i | 0.00735136i | ||||||||
\(162\) | 8.44633e8 | − | 9.18428e7i | 1.22633 | − | 0.133348i | ||||
\(163\) | 8.40916e8 | 1.19125 | 0.595624 | − | 0.803263i | \(-0.296905\pi\) | ||||
0.595624 | + | 0.803263i | \(0.296905\pi\) | |||||||
\(164\) | 3.36218e8 | − | 1.94116e8i | 0.464778 | − | 0.268340i | ||||
\(165\) | 9.30967e8 | + | 1.14754e9i | 1.25603 | + | 1.54822i | ||||
\(166\) | 5.51939e8 | − | 9.55987e8i | 0.726874 | − | 1.25898i | ||||
\(167\) | −1.20452e9 | − | 6.95430e8i | −1.54863 | − | 0.894103i | −0.998247 | − | 0.0591918i | \(-0.981148\pi\) |
−0.550385 | − | 0.834911i | \(-0.685519\pi\) | |||||||
\(168\) | −8.01248e6 | − | 3.06745e6i | −0.0100584 | − | 0.00385071i | ||||
\(169\) | 4.07106e8 | + | 7.05129e8i | 0.499069 | + | 0.864413i | ||||
\(170\) | 2.16758e9i | 2.59525i | ||||||||
\(171\) | 1.56613e8 | − | 7.43366e8i | 0.183165 | − | 0.869398i | ||||
\(172\) | 2.11528e8 | 0.241687 | ||||||||
\(173\) | −3.03288e8 | + | 1.75104e8i | −0.338588 | + | 0.195484i | −0.659647 | − | 0.751575i | \(-0.729294\pi\) |
0.321060 | + | 0.947059i | \(0.395961\pi\) | |||||||
\(174\) | −1.31412e9 | + | 2.09346e8i | −1.43363 | + | 0.228385i | ||||
\(175\) | 1.49256e7 | − | 2.58520e7i | 0.0159140 | − | 0.0275639i | ||||
\(176\) | −1.24970e9 | − | 7.21516e8i | −1.30243 | − | 0.751961i | ||||
\(177\) | −1.19122e8 | − | 7.47761e8i | −0.121367 | − | 0.761850i | ||||
\(178\) | 4.12779e8 | + | 7.14954e8i | 0.411185 | + | 0.712194i | ||||
\(179\) | − | 1.76931e9i | − | 1.72342i | −0.507397 | − | 0.861712i | \(-0.669392\pi\) | ||
0.507397 | − | 0.861712i | \(-0.330608\pi\) | |||||||
\(180\) | −2.81858e8 | − | 8.62199e8i | −0.268498 | − | 0.821329i | ||||
\(181\) | 7.40051e7 | 0.0689521 | 0.0344760 | − | 0.999406i | \(-0.489024\pi\) | ||||
0.0344760 | + | 0.999406i | \(0.489024\pi\) | |||||||
\(182\) | 923066. | − | 532932.i | 0.000841293 | − | 0.000485720i | ||||
\(183\) | 1.65835e8 | − | 4.33177e8i | 0.147867 | − | 0.386244i | ||||
\(184\) | −1.36192e8 | + | 2.35891e8i | −0.118817 | + | 0.205798i | ||||
\(185\) | 2.54758e9 | + | 1.47085e9i | 2.17491 | + | 1.25568i | ||||
\(186\) | −3.19135e8 | + | 2.58905e8i | −0.266638 | + | 0.216316i | ||||
\(187\) | −9.34688e8 | − | 1.61893e9i | −0.764364 | − | 1.32392i | ||||
\(188\) | − | 2.10755e8i | − | 0.168712i | ||||||
\(189\) | 1.95677e7 | + | 1.26326e7i | 0.0153353 | + | 0.00990022i | ||||
\(190\) | −2.36587e9 | −1.81542 | ||||||||
\(191\) | −3.08745e8 | + | 1.78254e8i | −0.231989 | + | 0.133939i | −0.611489 | − | 0.791253i | \(-0.709429\pi\) |
0.379500 | + | 0.925192i | \(0.376096\pi\) | |||||||
\(192\) | −6.50784e7 | − | 8.02178e7i | −0.0478886 | − | 0.0590290i | ||||
\(193\) | −7.51417e8 | + | 1.30149e9i | −0.541566 | + | 0.938021i | 0.457248 | + | 0.889339i | \(0.348835\pi\) |
−0.998814 | + | 0.0486813i | \(0.984498\pi\) | |||||||
\(194\) | −8.48619e8 | − | 4.89950e8i | −0.599109 | − | 0.345896i | ||||
\(195\) | −9.64983e7 | − | 3.69428e7i | −0.0667392 | − | 0.0255501i | ||||
\(196\) | −3.84811e8 | − | 6.66513e8i | −0.260750 | − | 0.451631i | ||||
\(197\) | 2.84704e9i | 1.89029i | 0.326654 | + | 0.945144i | \(0.394079\pi\) | ||||
−0.326654 | + | 0.945144i | \(0.605921\pi\) | |||||||
\(198\) | 1.69853e9 | + | 1.52385e9i | 1.10513 | + | 0.991476i | ||||
\(199\) | 2.64983e9 | 1.68968 | 0.844842 | − | 0.535016i | \(-0.179694\pi\) | ||||
0.844842 | + | 0.535016i | \(0.179694\pi\) | |||||||
\(200\) | 1.42562e9 | − | 8.23083e8i | 0.891013 | − | 0.514427i | ||||
\(201\) | 6.32692e8 | − | 1.00791e8i | 0.387621 | − | 0.0617500i | ||||
\(202\) | −2.99043e8 | + | 5.17957e8i | −0.179609 | + | 0.311091i | ||||
\(203\) | −3.15920e7 | − | 1.82397e7i | −0.0186034 | − | 0.0107407i | ||||
\(204\) | 1.80534e8 | + | 1.13326e9i | 0.104241 | + | 0.654347i | ||||
\(205\) | −1.50477e9 | − | 2.60633e9i | −0.852028 | − | 1.47576i | ||||
\(206\) | − | 2.79303e9i | − | 1.55098i | ||||||
\(207\) | 4.93798e8 | − | 5.50402e8i | 0.268948 | − | 0.299777i | ||||
\(208\) | 1.00905e8 | 0.0539088 | ||||||||
\(209\) | 1.76703e9 | − | 1.02019e9i | 0.926101 | − | 0.534684i | ||||
\(210\) | 2.59334e7 | − | 6.77406e7i | 0.0133347 | − | 0.0348315i | ||||
\(211\) | −1.41240e9 | + | 2.44636e9i | −0.712573 | + | 1.23421i | 0.251316 | + | 0.967905i | \(0.419137\pi\) |
−0.963888 | + | 0.266307i | \(0.914197\pi\) | |||||||
\(212\) | 1.01436e9 | + | 5.85643e8i | 0.502169 | + | 0.289927i | ||||
\(213\) | −2.04920e9 | + | 1.66246e9i | −0.995556 | + | 0.807667i | ||||
\(214\) | 3.21462e8 | + | 5.56788e8i | 0.153276 | + | 0.265482i | ||||
\(215\) | − | 1.63974e9i | − | 0.767401i | ||||||
\(216\) | 5.86186e8 | + | 1.14284e9i | 0.269290 | + | 0.525011i | ||||
\(217\) | −1.12657e7 | −0.00508063 | ||||||||
\(218\) | −1.00445e9 | + | 5.79918e8i | −0.444735 | + | 0.256768i | ||||
\(219\) | −1.40624e9 | − | 1.73338e9i | −0.611342 | − | 0.753560i | ||||
\(220\) | 1.21816e9 | − | 2.10992e9i | 0.520012 | − | 0.900688i | ||||
\(221\) | 1.13205e8 | + | 6.53587e7i | 0.0474564 | + | 0.0273990i | ||||
\(222\) | 4.24245e9 | + | 1.62416e9i | 1.74665 | + | 0.668676i | ||||
\(223\) | 1.29921e9 | + | 2.25030e9i | 0.525363 | + | 0.909956i | 0.999564 | + | 0.0295388i | \(0.00940386\pi\) |
−0.474200 | + | 0.880417i | \(0.657263\pi\) | |||||||
\(224\) | 4.37184e7i | 0.0173649i | ||||||||
\(225\) | −4.24766e9 | + | 1.38859e9i | −1.65737 | + | 0.541805i | ||||
\(226\) | 1.81569e8 | 0.0695996 | ||||||||
\(227\) | −2.92249e9 | + | 1.68730e9i | −1.10065 | + | 0.635461i | −0.936392 | − | 0.350956i | \(-0.885857\pi\) |
−0.164259 | + | 0.986417i | \(0.552523\pi\) | |||||||
\(228\) | −1.23693e9 | + | 1.97049e8i | −0.457726 | + | 0.0729180i | ||||
\(229\) | 1.70994e9 | − | 2.96170e9i | 0.621782 | − | 1.07696i | −0.367372 | − | 0.930074i | \(-0.619742\pi\) |
0.989154 | − | 0.146883i | \(-0.0469242\pi\) | |||||||
\(230\) | −1.99432e9 | − | 1.15142e9i | −0.712661 | − | 0.411455i | ||||
\(231\) | 9.84139e6 | + | 6.17771e7i | 0.00345628 | + | 0.0216960i | ||||
\(232\) | −1.00584e9 | − | 1.74216e9i | −0.347197 | − | 0.601362i | ||||
\(233\) | − | 3.12015e9i | − | 1.05865i | −0.848420 | − | 0.529324i | \(-0.822446\pi\) | ||
0.848420 | − | 0.529324i | \(-0.177554\pi\) | |||||||
\(234\) | −1.56137e8 | − | 3.28950e7i | −0.0520766 | − | 0.0109715i | ||||
\(235\) | −1.63375e9 | −0.535691 | ||||||||
\(236\) | −1.08116e9 | + | 6.24206e8i | −0.348530 | + | 0.201224i | ||||
\(237\) | −3.57143e7 | + | 9.32893e7i | −0.0113201 | + | 0.0295691i | ||||
\(238\) | −4.58810e7 | + | 7.94683e7i | −0.0142996 | + | 0.0247677i | ||||
\(239\) | 3.90070e9 | + | 2.25207e9i | 1.19550 | + | 0.690225i | 0.959550 | − | 0.281539i | \(-0.0908450\pi\) |
0.235955 | + | 0.971764i | \(0.424178\pi\) | |||||||
\(240\) | 5.33268e9 | − | 4.32625e9i | 1.60731 | − | 1.30397i | ||||
\(241\) | 1.32520e9 | + | 2.29532e9i | 0.392839 | + | 0.680416i | 0.992823 | − | 0.119596i | \(-0.0381598\pi\) |
−0.599984 | + | 0.800012i | \(0.704826\pi\) | |||||||
\(242\) | 1.89805e9i | 0.553410i | ||||||||
\(243\) | −9.17557e8 | − | 3.36389e9i | −0.263153 | − | 0.964754i | ||||
\(244\) | −7.64747e8 | −0.215754 | ||||||||
\(245\) | −5.16675e9 | + | 2.98302e9i | −1.43401 | + | 0.827928i | ||||
\(246\) | −2.92800e9 | − | 3.60915e9i | −0.799522 | − | 0.985517i | ||||
\(247\) | −7.13378e7 | + | 1.23561e8i | −0.0191660 | + | 0.0331965i | ||||
\(248\) | −5.38020e8 | − | 3.10626e8i | −0.142230 | − | 0.0821166i | ||||
\(249\) | −4.23084e9 | − | 1.61971e9i | −1.10060 | − | 0.421347i | ||||
\(250\) | 2.96788e9 | + | 5.14052e9i | 0.759777 | + | 1.31597i | ||||
\(251\) | 3.85609e9i | 0.971522i | 0.874092 | + | 0.485761i | \(0.161458\pi\) | ||||
−0.874092 | + | 0.485761i | \(0.838542\pi\) | |||||||
\(252\) | 7.91656e6 | − | 3.75762e7i | 0.00196306 | − | 0.00931774i | ||||
\(253\) | 1.98603e9 | 0.484733 | ||||||||
\(254\) | 4.48908e9 | − | 2.59177e9i | 1.07850 | − | 0.622675i | ||||
\(255\) | 8.78491e9 | − | 1.39948e9i | 2.07767 | − | 0.330983i | ||||
\(256\) | −2.60527e9 | + | 4.51245e9i | −0.606586 | + | 1.05064i | ||||
\(257\) | 5.94747e9 | + | 3.43377e9i | 1.36333 | + | 0.787117i | 0.990065 | − | 0.140610i | \(-0.0449064\pi\) |
0.373261 | + | 0.927726i | \(0.378240\pi\) | |||||||
\(258\) | −3.98366e8 | − | 2.50065e9i | −0.0899090 | − | 0.564383i | ||||
\(259\) | 6.22666e7 | + | 1.07849e8i | 0.0138374 | + | 0.0239672i | ||||
\(260\) | 1.70362e8i | 0.0372802i | ||||||||
\(261\) | 1.69690e9 | + | 5.19080e9i | 0.365675 | + | 1.11859i | ||||
\(262\) | −9.67715e8 | −0.205373 | ||||||||
\(263\) | −1.95898e9 | + | 1.13102e9i | −0.409456 | + | 0.236400i | −0.690556 | − | 0.723279i | \(-0.742634\pi\) |
0.281100 | + | 0.959679i | \(0.409301\pi\) | |||||||
\(264\) | −1.23337e9 | + | 3.22167e9i | −0.253908 | + | 0.663232i | ||||
\(265\) | 4.53985e9 | − | 7.86325e9i | 0.920572 | − | 1.59448i | ||||
\(266\) | −8.67381e7 | − | 5.00783e7i | −0.0173254 | − | 0.0100028i | ||||
\(267\) | 2.63111e9 | − | 2.13454e9i | 0.517718 | − | 0.420010i | ||||
\(268\) | −5.28150e8 | − | 9.14782e8i | −0.102381 | − | 0.177329i | ||||
\(269\) | − | 6.04485e9i | − | 1.15445i | −0.816584 | − | 0.577227i | \(-0.804135\pi\) | ||
0.816584 | − | 0.577227i | \(-0.195865\pi\) | |||||||
\(270\) | −9.66197e9 | + | 4.95585e9i | −1.81807 | + | 0.932530i | ||||
\(271\) | 4.06713e8 | 0.0754069 | 0.0377034 | − | 0.999289i | \(-0.487996\pi\) | ||||
0.0377034 | + | 0.999289i | \(0.487996\pi\) | |||||||
\(272\) | −7.52324e9 | + | 4.34354e9i | −1.37445 | + | 0.793539i | ||||
\(273\) | −2.75587e6 | − | 3.39698e6i | −0.000496145 | − | 0.000611565i | ||||
\(274\) | 5.06174e8 | − | 8.76720e8i | 0.0898045 | − | 0.155546i | ||||
\(275\) | −1.03946e10 | − | 6.00132e9i | −1.81751 | − | 1.04934i | ||||
\(276\) | −1.13857e9 | − | 4.35884e8i | −0.196211 | − | 0.0751164i | ||||
\(277\) | −4.28047e9 | − | 7.41399e9i | −0.727064 | − | 1.25931i | −0.958119 | − | 0.286370i | \(-0.907551\pi\) |
0.231055 | − | 0.972941i | \(-0.425782\pi\) | |||||||
\(278\) | − | 4.90817e9i | − | 0.821751i | ||||||
\(279\) | 1.25535e9 | + | 1.12625e9i | 0.207181 | + | 0.185874i | ||||
\(280\) | 1.09655e8 | 0.0178400 | ||||||||
\(281\) | 5.88540e9 | − | 3.39794e9i | 0.943954 | − | 0.544992i | 0.0527565 | − | 0.998607i | \(-0.483199\pi\) |
0.891198 | + | 0.453615i | \(0.149866\pi\) | |||||||
\(282\) | −2.49151e9 | + | 3.96910e8i | −0.393973 | + | 0.0627618i | ||||
\(283\) | −2.46044e9 | + | 4.26160e9i | −0.383589 | + | 0.664396i | −0.991572 | − | 0.129554i | \(-0.958645\pi\) |
0.607983 | + | 0.793950i | \(0.291979\pi\) | |||||||
\(284\) | 3.76774e9 | + | 2.17531e9i | 0.579173 | + | 0.334386i | ||||
\(285\) | 1.52751e9 | + | 9.58856e9i | 0.231528 | + | 1.45336i | ||||
\(286\) | −2.14282e8 | − | 3.71148e8i | −0.0320274 | − | 0.0554731i | ||||
\(287\) | − | 1.27405e8i | − | 0.0187785i | ||||||
\(288\) | 4.37061e9 | − | 4.87162e9i | 0.635291 | − | 0.708115i | ||||
\(289\) | −4.27793e9 | −0.613257 | ||||||||
\(290\) | 1.47289e10 | − | 8.50373e9i | 2.08247 | − | 1.20231i | ||||
\(291\) | −1.43780e9 | + | 3.75567e9i | −0.200506 | + | 0.523740i | ||||
\(292\) | −1.84006e9 | + | 3.18707e9i | −0.253104 | + | 0.438390i | ||||
\(293\) | −1.42785e9 | − | 8.24371e8i | −0.193737 | − | 0.111854i | 0.399994 | − | 0.916518i | \(-0.369012\pi\) |
−0.593731 | + | 0.804664i | \(0.702346\pi\) | |||||||
\(294\) | −7.15471e9 | + | 5.80441e9i | −0.957640 | + | 0.776907i | ||||
\(295\) | 4.83879e9 | + | 8.38103e9i | 0.638923 | + | 1.10665i | ||||
\(296\) | 6.86745e9i | 0.894600i | ||||||||
\(297\) | 5.07933e9 | − | 7.86780e9i | 0.652800 | − | 1.01118i | ||||
\(298\) | 8.83456e8 | 0.112026 | ||||||||
\(299\) | −1.20269e8 | + | 6.94372e7i | −0.0150476 | + | 0.00868775i | ||||
\(300\) | 4.64199e9 | + | 5.72186e9i | 0.573085 | + | 0.706403i | ||||
\(301\) | 3.47084e7 | − | 6.01166e7i | 0.00422832 | − | 0.00732367i | ||||
\(302\) | −1.44601e9 | − | 8.34855e8i | −0.173838 | − | 0.100365i | ||||
\(303\) | 2.29228e9 | + | 8.77565e8i | 0.271956 | + | 0.104114i | ||||
\(304\) | −4.74089e9 | − | 8.21147e9i | −0.555093 | − | 0.961450i | ||||
\(305\) | 5.92825e9i | 0.685058i | ||||||||
\(306\) | 1.30572e10 | − | 4.26848e9i | 1.48924 | − | 0.486842i | ||||
\(307\) | −3.34032e9 | −0.376041 | −0.188020 | − | 0.982165i | \(-0.560207\pi\) | ||||
−0.188020 | + | 0.982165i | \(0.560207\pi\) | |||||||
\(308\) | 8.93209e7 | − | 5.15694e7i | 0.00992545 | − | 0.00573046i | ||||
\(309\) | −1.13198e10 | + | 1.80330e9i | −1.24166 | + | 0.197803i | ||||
\(310\) | 2.62615e9 | − | 4.54862e9i | 0.284363 | − | 0.492531i | ||||
\(311\) | 1.03640e9 | + | 5.98365e8i | 0.110786 | + | 0.0639624i | 0.554369 | − | 0.832271i | \(-0.312960\pi\) |
−0.443583 | + | 0.896233i | \(0.646293\pi\) | |||||||
\(312\) | −3.79493e7 | − | 2.38218e8i | −0.00400485 | − | 0.0251395i | ||||
\(313\) | −5.25595e9 | − | 9.10358e9i | −0.547614 | − | 0.948495i | −0.998437 | − | 0.0558816i | \(-0.982203\pi\) |
0.450824 | − | 0.892613i | \(-0.351130\pi\) | |||||||
\(314\) | 1.23383e10i | 1.26922i | ||||||||
\(315\) | −2.91287e8 | − | 6.13685e7i | −0.0295855 | − | 0.00623309i | ||||
\(316\) | 1.64696e8 | 0.0165172 | ||||||||
\(317\) | 9.20845e9 | − | 5.31650e9i | 0.911905 | − | 0.526488i | 0.0308611 | − | 0.999524i | \(-0.490175\pi\) |
0.881043 | + | 0.473035i | \(0.156842\pi\) | |||||||
\(318\) | 5.01305e9 | − | 1.30946e10i | 0.490223 | − | 1.28051i | ||||
\(319\) | −7.33383e9 | + | 1.27026e10i | −0.708220 | + | 1.22667i | ||||
\(320\) | 1.14334e9 | + | 6.60110e8i | 0.109038 | + | 0.0629530i | ||||
\(321\) | 2.04904e9 | − | 1.66233e9i | 0.192988 | − | 0.156566i | ||||
\(322\) | −4.87440e7 | − | 8.44272e7i | −0.00453417 | − | 0.00785342i | ||||
\(323\) | − | 1.22832e10i | − | 1.12850i | ||||||
\(324\) | −4.63872e9 | + | 3.39575e9i | −0.420938 | + | 0.308145i | ||||
\(325\) | 8.39294e8 | 0.0752282 | ||||||||
\(326\) | −1.43735e10 | + | 8.29857e9i | −1.27260 | + | 0.734738i | ||||
\(327\) | 2.99885e9 | + | 3.69648e9i | 0.262279 | + | 0.323293i | ||||
\(328\) | 3.51292e9 | − | 6.08455e9i | 0.303510 | − | 0.525694i | ||||
\(329\) | −5.98969e7 | − | 3.45815e7i | −0.00511235 | − | 0.00295162i | ||||
\(330\) | −2.72372e10 | − | 1.04273e10i | −2.29672 | − | 0.879261i | ||||
\(331\) | 1.08757e10 | + | 1.88372e10i | 0.906032 | + | 1.56929i | 0.819526 | + | 0.573043i | \(0.194237\pi\) |
0.0865066 | + | 0.996251i | \(0.472430\pi\) | |||||||
\(332\) | 7.46928e9i | 0.614790i | ||||||||
\(333\) | 3.84338e9 | − | 1.82427e10i | 0.312562 | − | 1.48359i | ||||
\(334\) | 2.74514e10 | 2.20586 | ||||||||
\(335\) | −7.09131e9 | + | 4.09417e9i | −0.563051 | + | 0.325077i | ||||
\(336\) | 2.87081e8 | − | 4.57335e7i | 0.0225241 | − | 0.00358820i | ||||
\(337\) | −8.74135e9 | + | 1.51405e10i | −0.677733 | + | 1.17387i | 0.297929 | + | 0.954588i | \(0.403704\pi\) |
−0.975662 | + | 0.219280i | \(0.929629\pi\) | |||||||
\(338\) | −1.39171e10 | − | 8.03505e9i | −1.06631 | − | 0.615632i | ||||
\(339\) | −1.17228e8 | − | 7.35873e8i | −0.00887633 | − | 0.0557191i | ||||
\(340\) | −7.33335e9 | − | 1.27017e10i | −0.548766 | − | 0.950490i | ||||
\(341\) | 4.52972e9i | 0.335007i | ||||||||
\(342\) | 4.65897e9 | + | 1.42517e10i | 0.340553 | + | 1.04175i | ||||
\(343\) | −5.05216e8 | −0.0365006 | ||||||||
\(344\) | 3.31517e9 | − | 1.91401e9i | 0.236740 | − | 0.136682i | ||||
\(345\) | −3.37894e9 | + | 8.82611e9i | −0.238508 | + | 0.623007i | ||||
\(346\) | 3.45601e9 | − | 5.98599e9i | 0.241141 | − | 0.417669i | ||||
\(347\) | −1.78078e10 | − | 1.02813e10i | −1.22826 | − | 0.709138i | −0.261597 | − | 0.965177i | \(-0.584249\pi\) |
−0.966666 | + | 0.256039i | \(0.917582\pi\) | |||||||
\(348\) | 6.99232e9 | − | 5.67267e9i | 0.476765 | − | 0.386786i | ||||
\(349\) | −6.58028e9 | − | 1.13974e10i | −0.443550 | − | 0.768251i | 0.554400 | − | 0.832250i | \(-0.312948\pi\) |
−0.997950 | + | 0.0639991i | \(0.979615\pi\) | |||||||
\(350\) | 5.89174e8i | 0.0392619i | ||||||||
\(351\) | −3.25105e7 | + | 6.54042e8i | −0.00214188 | + | 0.0430901i | ||||
\(352\) | 1.75784e10 | 1.14501 | ||||||||
\(353\) | 5.91192e9 | − | 3.41325e9i | 0.380741 | − | 0.219821i | −0.297400 | − | 0.954753i | \(-0.596119\pi\) |
0.678141 | + | 0.734932i | \(0.262786\pi\) | |||||||
\(354\) | 9.41539e9 | + | 1.16057e10i | 0.599550 | + | 0.739025i | ||||
\(355\) | 1.68628e10 | − | 2.92072e10i | 1.06174 | − | 1.83898i | ||||
\(356\) | −4.83766e9 | − | 2.79303e9i | −0.301187 | − | 0.173890i | ||||
\(357\) | 3.51697e8 | + | 1.34642e8i | 0.0216519 | + | 0.00828908i | ||||
\(358\) | 1.74604e10 | + | 3.02424e10i | 1.06297 | + | 1.84113i | ||||
\(359\) | 9.79378e9i | 0.589620i | 0.955556 | + | 0.294810i | \(0.0952564\pi\) | ||||
−0.955556 | + | 0.294810i | \(0.904744\pi\) | |||||||
\(360\) | −1.22190e10 | − | 1.09624e10i | −0.727490 | − | 0.652673i | ||||
\(361\) | −3.57671e9 | −0.210598 | ||||||||
\(362\) | −1.26495e9 | + | 7.30319e8i | −0.0736612 | + | 0.0425283i | ||||
\(363\) | 7.69256e9 | − | 1.22546e9i | 0.443041 | − | 0.0705787i | ||||
\(364\) | −3.60603e6 | + | 6.24583e6i | −0.000205411 | + | 0.000355783i | ||||
\(365\) | 2.47059e10 | + | 1.42640e10i | 1.39197 | + | 0.803653i | ||||
\(366\) | 1.44023e9 | + | 9.04072e9i | 0.0802616 | + | 0.503824i | ||||
\(367\) | 9.11415e9 | + | 1.57862e10i | 0.502403 | + | 0.870187i | 0.999996 | + | 0.00277645i | \(0.000883771\pi\) |
−0.497594 | + | 0.867410i | \(0.665783\pi\) | |||||||
\(368\) | − | 9.22917e9i | − | 0.503236i | ||||||
\(369\) | −1.27370e10 | + | 1.41970e10i | −0.687005 | + | 0.765758i | ||||
\(370\) | −5.80601e10 | −3.09792 | ||||||||
\(371\) | 3.32882e8 | − | 1.92189e8i | 0.0175709 | − | 0.0101446i | ||||
\(372\) | 9.94162e8 | − | 2.59685e9i | 0.0519141 | − | 0.135605i | ||||
\(373\) | −4.15972e9 | + | 7.20485e9i | −0.214896 | + | 0.372211i | −0.953240 | − | 0.302213i | \(-0.902275\pi\) |
0.738344 | + | 0.674424i | \(0.235608\pi\) | |||||||
\(374\) | 3.19527e10 | + | 1.84479e10i | 1.63313 | + | 0.942890i | ||||
\(375\) | 1.89176e10 | − | 1.53473e10i | 0.956625 | − | 0.776083i | ||||
\(376\) | −1.90702e9 | − | 3.30305e9i | −0.0954120 | − | 0.165258i | ||||
\(377\) | − | 1.02565e9i | − | 0.0507730i | ||||||
\(378\) | −4.59129e8 | − | 2.28220e7i | −0.0224889 | − | 0.00111786i | ||||
\(379\) | −3.94806e10 | −1.91349 | −0.956747 | − | 0.290920i | \(-0.906039\pi\) | ||||
−0.956747 | + | 0.290920i | \(0.906039\pi\) | |||||||
\(380\) | 1.38637e10 | − | 8.00421e9i | 0.664883 | − | 0.383870i | ||||
\(381\) | −1.34024e10 | − | 1.65203e10i | −0.636039 | − | 0.784002i | ||||
\(382\) | 3.51820e9 | − | 6.09370e9i | 0.165222 | − | 0.286172i | ||||
\(383\) | −5.84139e9 | − | 3.37253e9i | −0.271470 | − | 0.156733i | 0.358086 | − | 0.933689i | \(-0.383430\pi\) |
−0.629555 | + | 0.776956i | \(0.716763\pi\) | |||||||
\(384\) | 2.12217e10 | + | 8.12439e9i | 0.976012 | + | 0.373651i | ||||
\(385\) | −3.99762e8 | − | 6.92408e8i | −0.0181953 | − | 0.0315151i | ||||
\(386\) | − | 2.96614e10i | − | 1.33611i | ||||||
\(387\) | −9.87759e9 | + | 3.22905e9i | −0.440359 | + | 0.143956i | ||||
\(388\) | 6.63040e9 | 0.292559 | ||||||||
\(389\) | 3.49350e9 | − | 2.01697e9i | 0.152568 | − | 0.0880849i | −0.421773 | − | 0.906702i | \(-0.638592\pi\) |
0.574340 | + | 0.818617i | \(0.305259\pi\) | |||||||
\(390\) | 2.01399e9 | − | 3.20838e8i | 0.0870560 | − | 0.0138684i | ||||
\(391\) | 5.97796e9 | − | 1.03541e10i | 0.255768 | − | 0.443003i | ||||
\(392\) | −1.20619e10 | − | 6.96394e9i | −0.510824 | − | 0.294925i | ||||
\(393\) | 6.24798e8 | + | 3.92202e9i | 0.0261920 | + | 0.164414i | ||||
\(394\) | −2.80959e10 | − | 4.86636e10i | −1.16589 | − | 2.01939i | ||||
\(395\) | − | 1.27671e9i | − | 0.0524450i | ||||||
\(396\) | −1.51087e10 | − | 3.18310e9i | −0.614393 | − | 0.129440i | ||||
\(397\) | 1.28717e10 | 0.518171 | 0.259086 | − | 0.965854i | \(-0.416579\pi\) | ||||
0.259086 | + | 0.965854i | \(0.416579\pi\) | |||||||
\(398\) | −4.52928e10 | + | 2.61498e10i | −1.80508 | + | 1.04216i | ||||
\(399\) | −1.46959e8 | + | 3.83871e8i | −0.00579834 | + | 0.0151458i | ||||
\(400\) | −2.78885e10 | + | 4.83042e10i | −1.08939 | + | 1.88688i | ||||
\(401\) | −1.78885e10 | − | 1.03279e10i | −0.691826 | − | 0.399426i | 0.112470 | − | 0.993655i | \(-0.464124\pi\) |
−0.804296 | + | 0.594229i | \(0.797457\pi\) | |||||||
\(402\) | −9.81977e9 | + | 7.96650e9i | −0.376008 | + | 0.305045i | ||||
\(403\) | −1.58372e8 | − | 2.74308e8i | −0.00600424 | − | 0.0103996i | ||||
\(404\) | − | 4.04688e9i | − | 0.151913i | ||||||
\(405\) | 2.63236e10 | + | 3.59590e10i | 0.978418 | + | 1.33656i | ||||
\(406\) | 7.19992e8 | 0.0264986 | ||||||||
\(407\) | 4.33640e10 | − | 2.50362e10i | 1.58035 | − | 0.912413i | ||||
\(408\) | 1.30837e10 | + | 1.61274e10i | 0.472161 | + | 0.582001i | ||||
\(409\) | 2.65071e10 | − | 4.59116e10i | 0.947259 | − | 1.64070i | 0.196094 | − | 0.980585i | \(-0.437174\pi\) |
0.751164 | − | 0.660115i | \(-0.229493\pi\) | |||||||
\(410\) | 5.14411e10 | + | 2.96996e10i | 1.82044 | + | 1.05103i | ||||
\(411\) | −3.88004e9 | − | 1.48541e9i | −0.135978 | − | 0.0520570i | ||||
\(412\) | 9.44938e9 | + | 1.63668e10i | 0.327955 | + | 0.568035i | ||||
\(413\) | 4.09690e8i | 0.0140817i | ||||||||
\(414\) | −3.00871e9 | + | 1.42809e10i | −0.102419 | + | 0.486132i | ||||
\(415\) | 5.79012e10 | 1.95207 | ||||||||
\(416\) | −1.06450e9 | + | 6.14590e8i | −0.0355445 | + | 0.0205217i | ||||
\(417\) | −1.98921e10 | + | 3.16892e9i | −0.657866 | + | 0.104801i | ||||
\(418\) | −2.01355e10 | + | 3.48758e10i | −0.659566 | + | 1.14240i | ||||
\(419\) | 8.00717e8 | + | 4.62294e8i | 0.0259790 | + | 0.0149990i | 0.512933 | − | 0.858428i | \(-0.328559\pi\) |
−0.486954 | + | 0.873427i | \(0.661892\pi\) | |||||||
\(420\) | 7.72134e7 | + | 4.84689e8i | 0.00248139 | + | 0.0155764i | ||||
\(421\) | 2.88388e9 | + | 4.99503e9i | 0.0918014 | + | 0.159005i | 0.908269 | − | 0.418386i | \(-0.137404\pi\) |
−0.816468 | + | 0.577391i | \(0.804071\pi\) | |||||||
\(422\) | − | 5.57532e10i | − | 1.75800i | ||||||
\(423\) | 3.21725e9 | + | 9.84149e9i | 0.100490 | + | 0.307397i | ||||
\(424\) | 2.11968e10 | 0.655853 | ||||||||
\(425\) | −6.25757e10 | + | 3.61281e10i | −1.91801 | + | 1.10736i | ||||
\(426\) | 1.86205e10 | − | 4.86384e10i | 0.565395 | − | 1.47687i | ||||
\(427\) | −1.25483e8 | + | 2.17343e8i | −0.00377462 | + | 0.00653783i | ||||
\(428\) | −3.76745e9 | − | 2.17514e9i | −0.112272 | − | 0.0648204i | ||||
\(429\) | −1.36586e9 | + | 1.10809e9i | −0.0403253 | + | 0.0327148i | ||||
\(430\) | 1.61818e10 | + | 2.80277e10i | 0.473318 | + | 0.819810i | ||||
\(431\) | 3.91550e10i | 1.13469i | 0.823480 | + | 0.567346i | \(0.192030\pi\) | ||||
−0.823480 | + | 0.567346i | \(0.807970\pi\) | |||||||
\(432\) | −3.65621e10 | − | 2.36039e10i | −1.04977 | − | 0.677718i | ||||
\(433\) | 3.14320e10 | 0.894171 | 0.447085 | − | 0.894491i | \(-0.352462\pi\) | ||||
0.447085 | + | 0.894491i | \(0.352462\pi\) | |||||||
\(434\) | 1.92561e8 | − | 1.11175e8i | 0.00542762 | − | 0.00313364i | ||||
\(435\) | −4.39741e10 | − | 5.42039e10i | −1.22812 | − | 1.51382i | ||||
\(436\) | 3.92396e9 | − | 6.79650e9i | 0.108587 | − | 0.188078i | ||||
\(437\) | 1.13013e10 | + | 6.52483e9i | 0.309888 | + | 0.178914i | ||||
\(438\) | 4.11424e10 | + | 1.57507e10i | 1.11788 | + | 0.427961i | ||||
\(439\) | −3.23614e10 | − | 5.60517e10i | −0.871304 | − | 1.50914i | −0.860648 | − | 0.509200i | \(-0.829941\pi\) |
−0.0106557 | − | 0.999943i | \(-0.503392\pi\) | |||||||
\(440\) | − | 4.40902e10i | − | 1.17634i | ||||||
\(441\) | 2.81439e10 | + | 2.52495e10i | 0.744097 | + | 0.667573i | ||||
\(442\) | −2.57997e9 | −0.0675967 | ||||||||
\(443\) | −4.93593e10 | + | 2.84976e10i | −1.28160 | + | 0.739934i | −0.977141 | − | 0.212590i | \(-0.931810\pi\) |
−0.304462 | + | 0.952524i | \(0.598477\pi\) | |||||||
\(444\) | −3.03551e10 | + | 4.83571e9i | −0.781087 | + | 0.124431i | ||||
\(445\) | −2.16513e10 | + | 3.75011e10i | −0.552133 | + | 0.956323i | ||||
\(446\) | −4.44140e10 | − | 2.56425e10i | −1.12249 | − | 0.648068i | ||||
\(447\) | −5.70396e8 | − | 3.58053e9i | −0.0142872 | − | 0.0896844i | ||||
\(448\) | 2.79450e7 | + | 4.84022e7i | 0.000693733 | + | 0.00120158i | ||||
\(449\) | 5.32399e10i | 1.30994i | 0.755655 | + | 0.654970i | \(0.227319\pi\) | ||||
−0.755655 | + | 0.654970i | \(0.772681\pi\) | |||||||
\(450\) | 5.89009e10 | − | 6.56527e10i | 1.43639 | − | 1.60104i | ||||
\(451\) | −5.12273e10 | −1.23821 | ||||||||
\(452\) | −1.06397e9 | + | 6.14283e8i | −0.0254903 | + | 0.0147168i | ||||
\(453\) | −2.44995e9 | + | 6.39951e9i | −0.0581788 | + | 0.151969i | ||||
\(454\) | 3.33022e10 | − | 5.76811e10i | 0.783880 | − | 1.35772i | ||||
\(455\) | 4.84171e7 | + | 2.79536e7i | 0.00112967 | + | 0.000652218i | ||||
\(456\) | −1.76028e10 | + | 1.42806e10i | −0.407119 | + | 0.330284i | ||||
\(457\) | 1.58333e10 | + | 2.74241e10i | 0.363000 | + | 0.628734i | 0.988453 | − | 0.151528i | \(-0.0484192\pi\) |
−0.625453 | + | 0.780262i | \(0.715086\pi\) | |||||||
\(458\) | 6.74979e10i | 1.53401i | ||||||||
\(459\) | −2.57299e10 | − | 5.01632e10i | −0.579678 | − | 1.13015i | ||||
\(460\) | 1.55819e10 | 0.348008 | ||||||||
\(461\) | 4.55092e10 | − | 2.62748e10i | 1.00762 | − | 0.581748i | 0.0971243 | − | 0.995272i | \(-0.469036\pi\) |
0.910493 | + | 0.413524i | \(0.135702\pi\) | |||||||
\(462\) | −7.77862e8 | − | 9.58818e8i | −0.0170740 | − | 0.0210459i | ||||
\(463\) | −2.10842e10 | + | 3.65189e10i | −0.458811 | + | 0.794683i | −0.998898 | − | 0.0469253i | \(-0.985058\pi\) |
0.540088 | + | 0.841609i | \(0.318391\pi\) | |||||||
\(464\) | 5.90295e10 | + | 3.40807e10i | 1.27349 | + | 0.735253i | ||||
\(465\) | −2.01305e10 | − | 7.70665e9i | −0.430570 | − | 0.164837i | ||||
\(466\) | 3.07912e10 | + | 5.33318e10i | 0.652954 | + | 1.13095i | ||||
\(467\) | − | 1.91694e9i | − | 0.0403034i | −0.999797 | − | 0.0201517i | \(-0.993585\pi\) | ||
0.999797 | − | 0.0201517i | \(-0.00641491\pi\) | |||||||
\(468\) | 1.02623e9 | − | 3.35482e8i | 0.0213926 | − | 0.00699337i | ||||
\(469\) | −3.46644e8 | −0.00716461 | ||||||||
\(470\) | 2.79253e10 | − | 1.61227e10i | 0.572276 | − | 0.330404i | ||||
\(471\) | 5.00054e10 | − | 7.96610e9i | 1.01609 | − | 0.161868i | ||||
\(472\) | −1.12963e10 | + | 1.95657e10i | −0.227597 | + | 0.394210i | ||||
\(473\) | −2.41718e10 | − | 1.39556e10i | −0.482908 | − | 0.278807i | ||||
\(474\) | −3.10169e8 | − | 1.94702e9i | −0.00614448 | − | 0.0385706i | ||||
\(475\) | −3.94331e10 | − | 6.83002e10i | −0.774617 | − | 1.34168i | ||||
\(476\) | − | 6.20899e8i | − | 0.0120946i | ||||||
\(477\) | −5.63072e10 | − | 1.18628e10i | −1.08765 | − | 0.229147i | ||||
\(478\) | −8.88981e10 | −1.70287 | ||||||||
\(479\) | 6.17295e10 | − | 3.56395e10i | 1.17260 | − | 0.677002i | 0.218311 | − | 0.975879i | \(-0.429945\pi\) |
0.954292 | + | 0.298877i | \(0.0966120\pi\) | |||||||
\(480\) | −2.99070e10 | + | 7.81201e10i | −0.563389 | + | 1.47163i | ||||
\(481\) | −1.75068e9 | + | 3.03226e9i | −0.0327059 | + | 0.0566483i | ||||
\(482\) | −4.53026e10 | − | 2.61555e10i | −0.839335 | − | 0.484590i | ||||
\(483\) | −3.10701e8 | + | 2.52063e8i | −0.00570892 | + | 0.00463149i | ||||
\(484\) | −6.42149e9 | − | 1.11224e10i | −0.117018 | − | 0.202682i | ||||
\(485\) | − | 5.13983e10i | − | 0.928927i | ||||||
\(486\) | 4.88801e10 | + | 4.84431e10i | 0.876167 | + | 0.868335i | ||||
\(487\) | 8.48050e10 | 1.50767 | 0.753834 | − | 0.657065i | \(-0.228202\pi\) | ||||
0.753834 | + | 0.657065i | \(0.228202\pi\) | |||||||
\(488\) | −1.19855e10 | + | 6.91982e9i | −0.211337 | + | 0.122016i | ||||
\(489\) | 4.29132e10 | + | 5.28962e10i | 0.750508 | + | 0.925100i | ||||
\(490\) | 5.88759e10 | − | 1.01976e11i | 1.02130 | − | 1.76894i | ||||
\(491\) | 4.54363e9 | + | 2.62327e9i | 0.0781767 | + | 0.0451353i | 0.538579 | − | 0.842575i | \(-0.318961\pi\) |
−0.460402 | + | 0.887710i | \(0.652295\pi\) | |||||||
\(492\) | 2.93682e10 | + | 1.12431e10i | 0.501206 | + | 0.191879i | ||||
\(493\) | 4.41498e10 | + | 7.64698e10i | 0.747380 | + | 1.29450i | ||||
\(494\) | − | 2.81599e9i | − | 0.0472849i | ||||||
\(495\) | −2.46751e10 | + | 1.17121e11i | −0.410997 | + | 1.95081i | ||||
\(496\) | 2.10498e10 | 0.347794 | ||||||||
\(497\) | 1.23645e9 | − | 7.13868e8i | 0.0202653 | − | 0.0117002i | ||||
\(498\) | 8.83007e10 | − | 1.40667e10i | 1.43564 | − | 0.228705i | ||||
\(499\) | −8.62762e9 | + | 1.49435e10i | −0.139152 | + | 0.241018i | −0.927176 | − | 0.374627i | \(-0.877771\pi\) |
0.788024 | + | 0.615645i | \(0.211104\pi\) | |||||||
\(500\) | −3.47828e10 | − | 2.00818e10i | −0.556524 | − | 0.321310i | ||||
\(501\) | −1.77238e10 | − | 1.11257e11i | −0.281323 | − | 1.76594i | ||||
\(502\) | −3.80538e10 | − | 6.59112e10i | −0.599216 | − | 1.03787i | ||||
\(503\) | 1.73504e10i | 0.271042i | 0.990774 | + | 0.135521i | \(0.0432709\pi\) | ||||
−0.990774 | + | 0.135521i | \(0.956729\pi\) | |||||||
\(504\) | −2.15936e8 | − | 6.60546e8i | −0.00334660 | − | 0.0102372i | ||||
\(505\) | −3.13711e10 | −0.482352 | ||||||||
\(506\) | −3.39466e10 | + | 1.95991e10i | −0.517838 | + | 0.298974i | ||||
\(507\) | −2.35795e10 | + | 6.15919e10i | −0.356864 | + | 0.932164i | ||||
\(508\) | −1.75369e10 | + | 3.03749e10i | −0.263329 | + | 0.456100i | ||||
\(509\) | −1.99327e10 | − | 1.15082e10i | −0.296958 | − | 0.171449i | 0.344117 | − | 0.938927i | \(-0.388178\pi\) |
−0.641076 | + | 0.767478i | \(0.721512\pi\) | |||||||
\(510\) | −1.36347e11 | + | 1.10615e11i | −2.01542 | + | 1.63505i | ||||
\(511\) | 6.03849e8 | + | 1.04590e9i | 0.00885614 | + | 0.0153393i | ||||
\(512\) | − | 3.10221e10i | − | 0.451431i | ||||||
\(513\) | 5.47522e10 | − | 2.80837e10i | 0.790555 | − | 0.405494i | ||||
\(514\) | −1.35545e11 | −1.94191 | ||||||||
\(515\) | 1.26874e11 | − | 7.32508e10i | 1.80362 | − | 1.04132i | ||||
\(516\) | 1.07946e10 | + | 1.33057e10i | 0.152267 | + | 0.187689i | ||||
\(517\) | −1.39046e10 | + | 2.40834e10i | −0.194624 | + | 0.337098i | ||||
\(518\) | −2.12861e9 | − | 1.22895e9i | −0.0295650 | − | 0.0170693i | ||||
\(519\) | −2.64918e10 | − | 1.01420e10i | −0.365125 | − | 0.139782i | ||||
\(520\) | 1.54152e9 | + | 2.66999e9i | 0.0210832 | + | 0.0365171i | ||||
\(521\) | − | 7.57627e10i | − | 1.02826i | −0.857711 | − | 0.514132i | \(-0.828114\pi\) | ||
0.857711 | − | 0.514132i | \(-0.171886\pi\) | |||||||
\(522\) | −8.02300e10 | − | 7.19790e10i | −1.08057 | − | 0.969446i | ||||
\(523\) | 3.01537e10 | 0.403027 | 0.201513 | − | 0.979486i | \(-0.435414\pi\) | ||||
0.201513 | + | 0.979486i | \(0.435414\pi\) | |||||||
\(524\) | 5.67069e9 | − | 3.27397e9i | 0.0752161 | − | 0.0434260i | ||||
\(525\) | 2.38784e9 | − | 3.80395e8i | 0.0314318 | − | 0.00500723i | ||||
\(526\) | 2.23229e10 | − | 3.86644e10i | 0.291613 | − | 0.505089i | ||||
\(527\) | 2.36156e10 | + | 1.36345e10i | 0.306166 | + | 0.176765i | ||||
\(528\) | −1.83886e10 | − | 1.15430e11i | −0.236599 | − | 1.48519i | ||||
\(529\) | −3.28045e10 | − | 5.68191e10i | −0.418900 | − | 0.725557i | ||||
\(530\) | 1.79206e11i | 2.27116i | ||||||||
\(531\) | 4.09575e10 | − | 4.56525e10i | 0.515175 | − | 0.574230i | ||||
\(532\) | 6.77699e8 | 0.00846039 | ||||||||
\(533\) | 3.10220e9 | − | 1.79105e9i | 0.0384380 | − | 0.0221922i | ||||
\(534\) | −2.39081e10 | + | 6.24502e10i | −0.294022 | + | 0.768013i | ||||
\(535\) | −1.68615e10 | + | 2.92049e10i | −0.205817 | + | 0.356485i | ||||
\(536\) | −1.65549e10 | − | 9.55795e9i | −0.200570 | − | 0.115799i | ||||
\(537\) | 1.11295e11 | − | 9.02906e10i | 1.33838 | − | 1.08579i | ||||
\(538\) | 5.96535e10 | + | 1.03323e11i | 0.712044 | + | 1.23330i | ||||
\(539\) | 1.01552e11i | 1.20319i | ||||||||
\(540\) | 3.98513e10 | − | 6.17290e10i | 0.468670 | − | 0.725962i | ||||
\(541\) | −1.63077e11 | −1.90373 | −0.951864 | − | 0.306521i | \(-0.900835\pi\) | ||||
−0.951864 | + | 0.306521i | \(0.900835\pi\) | |||||||
\(542\) | −6.95183e9 | + | 4.01364e9i | −0.0805568 | + | 0.0465095i | ||||
\(543\) | 3.77659e9 | + | 4.65515e9i | 0.0434411 | + | 0.0535469i | ||||
\(544\) | 5.29111e10 | − | 9.16447e10i | 0.604159 | − | 1.04643i | ||||
\(545\) | −5.26858e10 | − | 3.04182e10i | −0.597184 | − | 0.344784i | ||||
\(546\) | 8.06284e7 | + | 3.08673e7i | 0.000907230 | + | 0.000347319i | ||||
\(547\) | 3.27865e10 | + | 5.67879e10i | 0.366223 | + | 0.634317i | 0.988972 | − | 0.148105i | \(-0.0473174\pi\) |
−0.622749 | + | 0.782422i | \(0.713984\pi\) | |||||||
\(548\) | 6.84996e9i | 0.0759566i | ||||||||
\(549\) | 3.57110e10 | − | 1.16741e10i | 0.393108 | − | 0.128510i | ||||
\(550\) | 2.36896e11 | 2.58885 | ||||||||
\(551\) | −8.34653e10 | + | 4.81887e10i | −0.905523 | + | 0.522804i | ||||
\(552\) | −2.17884e10 | + | 3.47099e9i | −0.234676 | + | 0.0373850i | ||||
\(553\) | 2.70241e7 | − | 4.68071e7i | 0.000288968 | − | 0.000500508i | ||||
\(554\) | 1.46330e11 | + | 8.44835e10i | 1.55344 | + | 0.896877i | ||||
\(555\) | 3.74860e10 | + | 2.35310e11i | 0.395091 | + | 2.48009i | ||||
\(556\) | 1.66053e10 | + | 2.87612e10i | 0.173759 | + | 0.300960i | ||||
\(557\) | 3.13637e10i | 0.325842i | 0.986639 | + | 0.162921i | \(0.0520915\pi\) | ||||
−0.986639 | + | 0.162921i | \(0.947908\pi\) | |||||||
\(558\) | −3.25718e10 | − | 6.86224e9i | −0.335974 | − | 0.0707830i | ||||
\(559\) | 1.95171e9 | 0.0199879 | ||||||||
\(560\) | −3.21765e9 | + | 1.85771e9i | −0.0327180 | + | 0.0188898i | ||||
\(561\) | 5.41369e10 | − | 1.41411e11i | 0.546565 | − | 1.42768i | ||||
\(562\) | −6.70650e10 | + | 1.16160e11i | −0.672281 | + | 1.16443i | ||||
\(563\) | −9.99057e10 | − | 5.76806e10i | −0.994390 | − | 0.574111i | −0.0878064 | − | 0.996138i | \(-0.527986\pi\) |
−0.906584 | + | 0.422026i | \(0.861319\pi\) | |||||||
\(564\) | 1.32571e10 | − | 1.07551e10i | 0.131018 | − | 0.106291i | ||||
\(565\) | 4.76187e9 | + | 8.24779e9i | 0.0467287 | + | 0.0809364i | ||||
\(566\) | − | 9.71231e10i | − | 0.946361i | ||||||
\(567\) | 2.03939e8 | + | 1.87552e9i | 0.00197318 | + | 0.0181464i | ||||
\(568\) | 7.87333e10 | 0.756423 | ||||||||
\(569\) | −1.43494e11 | + | 8.28464e10i | −1.36894 | + | 0.790360i | −0.990793 | − | 0.135385i | \(-0.956773\pi\) |
−0.378150 | + | 0.925744i | \(0.623440\pi\) | |||||||
\(570\) | −1.20734e11 | − | 1.48820e11i | −1.14375 | − | 1.40982i | ||||
\(571\) | 5.00379e10 | − | 8.66682e10i | 0.470711 | − | 0.815296i | −0.528728 | − | 0.848792i | \(-0.677331\pi\) |
0.999439 | + | 0.0334959i | \(0.0106641\pi\) | |||||||
\(572\) | 2.51133e9 | + | 1.44992e9i | 0.0234596 | + | 0.0135444i | ||||
\(573\) | −2.69685e10 | − | 1.03244e10i | −0.250171 | − | 0.0957741i | ||||
\(574\) | 1.25730e9 | + | 2.17770e9i | 0.0115822 | + | 0.0200609i | ||||
\(575\) | − | 7.67651e10i | − | 0.702251i | ||||||
\(576\) | 1.72489e9 | − | 8.18726e9i | 0.0156701 | − | 0.0743787i | ||||
\(577\) | 1.25982e11 | 1.13659 | 0.568295 | − | 0.822825i | \(-0.307603\pi\) | ||||
0.568295 | + | 0.822825i | \(0.307603\pi\) | |||||||
\(578\) | 7.31215e10 | − | 4.22167e10i | 0.655139 | − | 0.378245i | ||||
\(579\) | −1.20214e11 | + | 1.91506e10i | −1.06965 | + | 0.170400i | ||||
\(580\) | −5.75396e10 | + | 9.96616e10i | −0.508458 | + | 0.880675i | ||||
\(581\) | 2.12279e9 | + | 1.22559e9i | 0.0186295 | + | 0.0107558i | ||||
\(582\) | −1.24869e10 | − | 7.83836e10i | −0.108833 | − | 0.683177i | ||||
\(583\) | −7.72758e10 | − | 1.33846e11i | −0.668913 | − | 1.15859i | ||||
\(584\) | 6.65991e10i | 0.572555i | ||||||||
\(585\) | −2.60063e9 | − | 7.95528e9i | −0.0222052 | − | 0.0679254i | ||||
\(586\) | 3.25412e10 | 0.275958 | ||||||||
\(587\) | 3.22077e10 | − | 1.85951e10i | 0.271273 | − | 0.156620i | −0.358193 | − | 0.933648i | \(-0.616607\pi\) |
0.629466 | + | 0.777028i | \(0.283274\pi\) | |||||||
\(588\) | 2.22882e10 | − | 5.82189e10i | 0.186451 | − | 0.487029i | ||||
\(589\) | −1.48818e10 | + | 2.57760e10i | −0.123650 | + | 0.214168i | ||||
\(590\) | −1.65416e11 | − | 9.55031e10i | −1.36512 | − | 0.788151i | ||||
\(591\) | −1.79087e11 | + | 1.45288e11i | −1.46796 | + | 1.19092i | ||||
\(592\) | −1.16345e11 | − | 2.01515e11i | −0.947240 | − | 1.64067i | ||||
\(593\) | − | 1.30600e11i | − | 1.05614i | −0.849200 | − | 0.528072i | \(-0.822915\pi\) | ||
0.849200 | − | 0.528072i | \(-0.177085\pi\) | |||||||
\(594\) | −9.17630e9 | + | 1.84607e11i | −0.0737092 | + | 1.48287i | ||||
\(595\) | −4.81315e9 | −0.0384027 | ||||||||
\(596\) | −5.17694e9 | + | 2.98891e9i | −0.0410287 | + | 0.0236879i | ||||
\(597\) | 1.35225e11 | + | 1.66682e11i | 1.06453 | + | 1.31218i | ||||
\(598\) | 1.37048e9 | − | 2.37374e9i | 0.0107169 | − | 0.0185622i | ||||
\(599\) | 4.82087e10 | + | 2.78333e10i | 0.374471 | + | 0.216201i | 0.675410 | − | 0.737442i | \(-0.263967\pi\) |
−0.300939 | + | 0.953643i | \(0.597300\pi\) | |||||||
\(600\) | 1.24526e11 | + | 4.76728e10i | 0.960848 | + | 0.367845i | ||||
\(601\) | 8.79470e10 | + | 1.52329e11i | 0.674098 | + | 1.16757i | 0.976732 | + | 0.214466i | \(0.0688010\pi\) |
−0.302633 | + | 0.953107i | \(0.597866\pi\) | |||||||
\(602\) | 1.37008e9i | 0.0104318i | ||||||||
\(603\) | 3.86272e10 | + | 3.46547e10i | 0.292162 | + | 0.262116i | ||||
\(604\) | 1.12979e10 | 0.0848889 | ||||||||
\(605\) | −8.62195e10 | + | 4.97788e10i | −0.643552 | + | 0.371555i | ||||
\(606\) | −4.78416e10 | + | 7.62141e9i | −0.354744 | + | 0.0565125i | ||||
\(607\) | −1.36683e10 | + | 2.36743e10i | −0.100684 | + | 0.174390i | −0.911967 | − | 0.410264i | \(-0.865437\pi\) |
0.811283 | + | 0.584654i | \(0.198770\pi\) | |||||||
\(608\) | 1.00028e11 | + | 5.77514e10i | 0.731997 | + | 0.422619i | ||||
\(609\) | −4.64857e8 | − | 2.91803e9i | −0.00337948 | − | 0.0212139i | ||||
\(610\) | −5.85029e10 | − | 1.01330e11i | −0.422530 | − | 0.731844i | ||||
\(611\) | − | 1.94458e9i | − | 0.0139528i | ||||||
\(612\) | −6.20724e10 | + | 6.91879e10i | −0.442479 | + | 0.493201i | ||||
\(613\) | −7.08377e10 | −0.501675 | −0.250837 | − | 0.968029i | \(-0.580706\pi\) | ||||
−0.250837 | + | 0.968029i | \(0.580706\pi\) | |||||||
\(614\) | 5.70952e10 | − | 3.29639e10i | 0.401722 | − | 0.231935i | ||||
\(615\) | 8.71558e10 | − | 2.27659e11i | 0.609250 | − | 1.59142i | ||||
\(616\) | 9.33254e8 | − | 1.61644e9i | 0.00648152 | − | 0.0112263i | ||||
\(617\) | 1.72031e11 | + | 9.93222e10i | 1.18704 | + | 0.685340i | 0.957633 | − | 0.287990i | \(-0.0929871\pi\) |
0.229410 | + | 0.973330i | \(0.426320\pi\) | |||||||
\(618\) | 1.75690e11 | − | 1.42532e11i | 1.20446 | − | 0.977147i | ||||
\(619\) | 2.27737e10 | + | 3.94453e10i | 0.155121 | + | 0.268678i | 0.933103 | − | 0.359609i | \(-0.117090\pi\) |
−0.777982 | + | 0.628287i | \(0.783756\pi\) | |||||||
\(620\) | 3.55391e10i | 0.240514i | ||||||||
\(621\) | 5.98212e10 | + | 2.97354e9i | 0.402243 | + | 0.0199943i | ||||
\(622\) | −2.36198e10 | −0.157803 | ||||||||
\(623\) | −1.58757e9 | + | 9.16583e8i | −0.0105385 | + | 0.00608443i | ||||
\(624\) | 5.14933e9 | + | 6.34723e9i | 0.0339635 | + | 0.0418645i | ||||
\(625\) | −2.26402e10 | + | 3.92140e10i | −0.148375 | + | 0.256993i | ||||
\(626\) | 1.79677e11 | + | 1.03737e11i | 1.17003 | + | 0.675515i | ||||
\(627\) | 1.54347e11 | + | 5.90894e10i | 0.998685 | + | 0.382331i | ||||
\(628\) | −4.17428e10 | − | 7.23007e10i | −0.268376 | − | 0.464840i | ||||
\(629\) | − | 3.01438e11i | − | 1.92573i | ||||||
\(630\) | 5.58451e9 | − | 1.82561e9i | 0.0354505 | − | 0.0115890i | ||||
\(631\) | −2.65519e11 | −1.67486 | −0.837431 | − | 0.546544i | \(-0.815943\pi\) | ||||
−0.837431 | + | 0.546544i | \(0.815943\pi\) | |||||||
\(632\) | 2.58120e9 | − | 1.49026e9i | 0.0161791 | − | 0.00934099i | ||||
\(633\) | −2.25960e11 | + | 3.59966e10i | −1.40740 | + | 0.224206i | ||||
\(634\) | −1.04932e11 | + | 1.81747e11i | −0.649455 | + | 1.12489i | ||||
\(635\) | 2.35463e11 | + | 1.35945e11i | 1.44820 | + | 0.836119i | ||||
\(636\) | 1.49257e10 | + | 9.36927e10i | 0.0912235 | + | 0.572634i | ||||
\(637\) | −3.55055e9 | − | 6.14974e9i | −0.0215644 | − | 0.0373507i | ||||
\(638\) | − | 2.89495e11i | − | 1.74727i | ||||||
\(639\) | −2.09147e11 | − | 4.40632e10i | −1.25444 | − | 0.264285i | ||||
\(640\) | −2.90430e11 | −1.73110 | ||||||||
\(641\) | −2.78835e10 | + | 1.60985e10i | −0.165164 | + | 0.0953574i | −0.580303 | − | 0.814400i | \(-0.697066\pi\) |
0.415140 | + | 0.909758i | \(0.363733\pi\) | |||||||
\(642\) | −1.86190e10 | + | 4.86346e10i | −0.109601 | + | 0.286290i | ||||
\(643\) | 1.09603e11 | − | 1.89838e11i | 0.641177 | − | 1.11055i | −0.343993 | − | 0.938972i | \(-0.611780\pi\) |
0.985170 | − | 0.171580i | \(-0.0548871\pi\) | |||||||
\(644\) | 5.71268e8 | + | 3.29822e8i | 0.00332121 | + | 0.00191750i | ||||
\(645\) | 1.03145e11 | − | 8.36785e10i | 0.595948 | − | 0.483476i | ||||
\(646\) | 1.21216e11 | + | 2.09953e11i | 0.696036 | + | 1.20557i | ||||
\(647\) | 2.79012e11i | 1.59223i | 0.605147 | + | 0.796114i | \(0.293114\pi\) | ||||
−0.605147 | + | 0.796114i | \(0.706886\pi\) | |||||||
\(648\) | −4.19738e10 | + | 9.51934e10i | −0.238056 | + | 0.539892i | ||||
\(649\) | 1.64729e11 | 0.928518 | ||||||||
\(650\) | −1.43458e10 | + | 8.28256e9i | −0.0803659 | + | 0.0463993i | ||||
\(651\) | −5.74903e8 | − | 7.08644e8i | −0.00320089 | − | 0.00394552i | ||||
\(652\) | 5.61514e10 | − | 9.72571e10i | 0.310721 | − | 0.538184i | ||||
\(653\) | −1.63903e11 | − | 9.46294e10i | −0.901435 | − | 0.520443i | −0.0237692 | − | 0.999717i | \(-0.507567\pi\) |
−0.877665 | + | 0.479274i | \(0.840900\pi\) | |||||||
\(654\) | −8.77371e10 | − | 3.35887e10i | −0.479592 | − | 0.183604i | ||||
\(655\) | −2.53796e10 | − | 4.39587e10i | −0.137886 | − | 0.238825i | ||||
\(656\) | 2.38056e11i | 1.28548i | ||||||||
\(657\) | 3.72723e10 | − | 1.76914e11i | 0.200044 | − | 0.949513i | ||||
\(658\) | 1.36507e9 | 0.00728200 | ||||||||
\(659\) | 1.07990e11 | − | 6.23480e10i | 0.572587 | − | 0.330583i | −0.185595 | − | 0.982626i | \(-0.559421\pi\) |
0.758182 | + | 0.652043i | \(0.226088\pi\) | |||||||
\(660\) | 1.94885e11 | − | 3.10461e10i | 1.02707 | − | 0.163618i | ||||
\(661\) | 1.61290e11 | − | 2.79362e11i | 0.844892 | − | 1.46340i | −0.0408230 | − | 0.999166i | \(-0.512998\pi\) |
0.885715 | − | 0.464229i | \(-0.153669\pi\) | |||||||
\(662\) | −3.71789e11 | − | 2.14653e11i | −1.93582 | − | 1.11765i | ||||
\(663\) | 1.66574e9 | + | 1.04563e10i | 0.00862089 | + | 0.0541156i | ||||
\(664\) | 6.75859e10 | + | 1.17062e11i | 0.347683 | + | 0.602205i | ||||
\(665\) | − | 5.25346e9i | − | 0.0268633i | ||||||
\(666\) | 1.14334e11 | + | 3.49746e11i | 0.581138 | + | 1.77769i | ||||
\(667\) | −9.38097e10 | −0.473963 | ||||||||
\(668\) | −1.60862e11 | + | 9.28734e10i | −0.807879 | + | 0.466429i | ||||
\(669\) | −7.52499e10 | + | 1.96560e11i | −0.375666 | + | 0.981275i | ||||
\(670\) | 8.08066e10 | − | 1.39961e11i | 0.401003 | − | 0.694557i | ||||
\(671\) | 8.73895e10 | + | 5.04543e10i | 0.431091 | + | 0.248891i | ||||
\(672\) | −2.75002e9 | + | 2.23101e9i | −0.0134852 | + | 0.0109402i | ||||
\(673\) | 9.03098e10 | + | 1.56421e11i | 0.440225 | + | 0.762492i | 0.997706 | − | 0.0676980i | \(-0.0215654\pi\) |
−0.557481 | + | 0.830190i | \(0.688232\pi\) | |||||||
\(674\) | − | 3.45055e11i | − | 1.67205i | ||||||
\(675\) | −3.04111e11 | − | 1.96329e11i | −1.46493 | − | 0.945736i | ||||
\(676\) | 1.08737e11 | 0.520702 | ||||||||
\(677\) | −2.38697e11 | + | 1.37812e11i | −1.13630 | + | 0.656041i | −0.945511 | − | 0.325590i | \(-0.894437\pi\) |
−0.190786 | + | 0.981632i | \(0.561104\pi\) | |||||||
\(678\) | 9.26571e9 | + | 1.14212e10i | 0.0438490 | + | 0.0540497i | ||||
\(679\) | 1.08794e9 | − | 1.88437e9i | 0.00511832 | − | 0.00886519i | ||||
\(680\) | −2.29864e11 | − | 1.32712e11i | −1.07507 | − | 0.620690i | ||||
\(681\) | −2.55275e11 | − | 9.77281e10i | −1.18692 | − | 0.454392i | ||||
\(682\) | −4.47014e10 | − | 7.74252e10i | −0.206626 | − | 0.357886i | ||||
\(683\) | 1.49992e11i | 0.689261i | 0.938738 | + | 0.344631i | \(0.111996\pi\) | ||||
−0.938738 | + | 0.344631i | \(0.888004\pi\) | |||||||
\(684\) | −7.55172e10 | − | 6.77509e10i | −0.345002 | − | 0.309521i | ||||
\(685\) | 5.31003e10 | 0.241176 | ||||||||
\(686\) | 8.63552e9 | − | 4.98572e9i | 0.0389935 | − | 0.0225129i | ||||
\(687\) | 2.73560e11 | − | 4.35795e10i | 1.22808 | − | 0.195639i | ||||
\(688\) | −6.48523e10 | + | 1.12328e11i | −0.289449 | + | 0.501340i | ||||
\(689\) | 9.35926e9 | + | 5.40357e9i | 0.0415302 | + | 0.0239775i | ||||
\(690\) | −2.93451e10 | − | 1.84207e11i | −0.129461 | − | 0.812662i | ||||
\(691\) | 1.21345e11 | + | 2.10175e11i | 0.532242 | + | 0.921870i | 0.999291 | + | 0.0376390i | \(0.0119837\pi\) |
−0.467049 | + | 0.884231i | \(0.654683\pi\) | |||||||
\(692\) | 4.67695e10i | 0.203957i | ||||||||
\(693\) | −3.38374e9 | + | 3.77163e9i | −0.0146712 | + | 0.0163529i | ||||
\(694\) | 4.05844e11 | 1.74953 | ||||||||
\(695\) | 2.22955e11 | − | 1.28723e11i | 0.955602 | − | 0.551717i | ||||
\(696\) | 5.82578e10 | − | 1.52175e11i | 0.248266 | − | 0.648495i | ||||
\(697\) | −1.54195e11 | + | 2.67073e11i | −0.653339 | + | 1.13162i | ||||
\(698\) | 2.24950e11 | + | 1.29875e11i | 0.947685 | + | 0.547146i | ||||
\(699\) | 1.96267e11 | − | 1.59226e11i | 0.822126 | − | 0.666967i | ||||
\(700\) | −1.99329e9 | − | 3.45248e9i | −0.00830193 | − | 0.0143794i | ||||
\(701\) | 1.07491e11i | 0.445145i | 0.974916 | + | 0.222572i | \(0.0714454\pi\) | ||||
−0.974916 | + | 0.222572i | \(0.928555\pi\) | |||||||
\(702\) | −5.89871e9 | − | 1.15002e10i | −0.0242889 | − | 0.0473540i | ||||
\(703\) | 3.29013e11 | 1.34708 | ||||||||
\(704\) | 1.94616e10 | − | 1.12362e10i | 0.0792297 | − | 0.0457433i | ||||
\(705\) | −8.33727e10 | − | 1.02768e11i | −0.337495 | − | 0.416007i | ||||
\(706\) | −6.73672e10 | + | 1.16683e11i | −0.271162 | + | 0.469667i | ||||
\(707\) | −1.15013e9 | − | 6.64030e8i | −0.00460331 | − | 0.00265772i | ||||
\(708\) | −9.44374e10 | − | 3.61539e10i | −0.375847 | − | 0.143887i | ||||
\(709\) | −4.22696e10 | − | 7.32131e10i | −0.167280 | − | 0.289737i | 0.770183 | − | 0.637823i | \(-0.220165\pi\) |
−0.937462 | + | 0.348086i | \(0.886832\pi\) | |||||||
\(710\) | 6.65641e11i | 2.61943i | ||||||||
\(711\) | −7.69074e9 | + | 2.51415e9i | −0.0300947 | + | 0.00983813i | ||||
\(712\) | −1.01091e11 | −0.393362 | ||||||||
\(713\) | −2.50893e10 | + | 1.44853e10i | −0.0970801 | + | 0.0560492i | ||||
\(714\) | −7.34017e9 | + | 1.16933e9i | −0.0282432 | + | 0.00449928i | ||||
\(715\) | 1.12396e10 | − | 1.94676e10i | 0.0430059 | − | 0.0744885i | ||||
\(716\) | −2.04632e11 | − | 1.18144e11i | −0.778612 | − | 0.449532i | ||||
\(717\) | 5.73964e10 | + | 3.60292e11i | 0.217174 | + | 1.36326i | ||||
\(718\) | −9.66498e10 | − | 1.67402e11i | −0.363666 | − | 0.629888i | ||||
\(719\) | − | 2.61695e11i | − | 0.979219i | −0.871942 | − | 0.489609i | \(-0.837139\pi\) | ||
0.871942 | − | 0.489609i | \(-0.162861\pi\) | |||||||
\(720\) | 5.44269e11 | + | 1.14667e11i | 2.02527 | + | 0.426685i | ||||
\(721\) | 6.20198e9 | 0.0229503 | ||||||||
\(722\) | 6.11356e10 | − | 3.52967e10i | 0.224981 | − | 0.129893i | ||||
\(723\) | −7.67555e10 | + | 2.00493e11i | −0.280903 | + | 0.733745i | ||||
\(724\) | 4.94163e9 | − | 8.55915e9i | 0.0179852 | − | 0.0311513i | ||||
\(725\) | 4.90987e11 | + | 2.83472e11i | 1.77713 | + | 1.02602i | ||||
\(726\) | −1.19393e11 | + | 9.68604e10i | −0.429767 | + | 0.348658i | ||||
\(727\) | −2.50649e11 | − | 4.34136e11i | −0.897280 | − | 1.55413i | −0.830958 | − | 0.556336i | \(-0.812207\pi\) |
−0.0663220 | − | 0.997798i | \(-0.521126\pi\) | |||||||
\(728\) | 1.30517e8i | 0.000464667i | ||||||||
\(729\) | 1.64775e11 | − | 2.29381e11i | 0.583418 | − | 0.812172i | ||||
\(730\) | −5.63055e11 | −1.98271 | ||||||||
\(731\) | −1.45515e11 | + | 8.40130e10i | −0.509609 | + | 0.294223i | ||||
\(732\) | −3.90261e10 | − | 4.81049e10i | −0.135929 | − | 0.167550i | ||||
\(733\) | −6.56351e9 | + | 1.13683e10i | −0.0227363 | + | 0.0393805i | −0.877170 | − | 0.480181i | \(-0.840571\pi\) |
0.854433 | + | 0.519561i | \(0.173904\pi\) | |||||||
\(734\) | −3.11571e11 | − | 1.79886e11i | −1.07343 | − | 0.619744i | ||||
\(735\) | −4.51308e11 | − | 1.72776e11i | −1.54641 | − | 0.592017i | ||||
\(736\) | 5.62128e10 | + | 9.73634e10i | 0.191568 | + | 0.331806i | ||||
\(737\) | 1.39379e11i | 0.472420i | ||||||||
\(738\) | 7.76062e10 | − | 3.68360e11i | 0.261620 | − | 1.24179i | ||||
\(739\) | 6.52920e9 | 0.0218919 | 0.0109459 | − | 0.999940i | \(-0.496516\pi\) | ||||
0.0109459 | + | 0.999940i | \(0.496516\pi\) | |||||||
\(740\) | 3.40225e11 | − | 1.96429e11i | 1.13459 | − | 0.655056i | ||||
\(741\) | −1.14128e10 | + | 1.81812e9i | −0.0378547 | + | 0.00603044i | ||||
\(742\) | −3.79324e9 | + | 6.57008e9i | −0.0125140 | + | 0.0216748i | ||||
\(743\) | −4.97611e11 | − | 2.87296e11i | −1.63281 | − | 0.942701i | −0.983223 | − | 0.182409i | \(-0.941610\pi\) |
−0.649583 | − | 0.760291i | \(-0.725056\pi\) | |||||||
\(744\) | −7.91662e9 | − | 4.96947e10i | −0.0258374 | − | 0.162188i | ||||
\(745\) | 2.31697e10 | + | 4.01312e10i | 0.0752136 | + | 0.130274i | ||||
\(746\) | − | 1.64201e11i | − | 0.530175i | ||||||
\(747\) | −1.14021e11 | − | 3.48789e11i | −0.366188 | − | 1.12016i | ||||
\(748\) | −2.49652e11 | −0.797496 | ||||||||
\(749\) | −1.23636e9 | + | 7.13812e8i | −0.00392841 | + | 0.00226807i | ||||
\(750\) | −1.71899e11 | + | 4.49016e11i | −0.543285 | + | 1.41911i | ||||
\(751\) | −7.08221e10 | + | 1.22667e11i | −0.222643 | + | 0.385629i | −0.955610 | − | 0.294636i | \(-0.904802\pi\) |
0.732967 | + | 0.680264i | \(0.238135\pi\) | |||||||
\(752\) | 1.11917e11 | + | 6.46153e10i | 0.349965 | + | 0.202052i | ||||
\(753\) | −2.42560e11 | + | 1.96782e11i | −0.754465 | + | 0.612076i | ||||
\(754\) | 1.01216e10 | + | 1.75311e10i | 0.0313158 | + | 0.0542405i | ||||
\(755\) | − | 8.75805e10i | − | 0.269538i | ||||||
\(756\) | 2.76765e9 | − | 1.41959e9i | 0.00847274 | − | 0.00434586i | ||||
\(757\) | −2.99698e10 | −0.0912641 | −0.0456321 | − | 0.998958i | \(-0.514530\pi\) | ||||
−0.0456321 | + | 0.998958i | \(0.514530\pi\) | |||||||
\(758\) | 6.74832e11 | − | 3.89614e11i | 2.04418 | − | 1.18021i | ||||
\(759\) | 1.01350e11 | + | 1.24927e11i | 0.305391 | + | 0.376435i | ||||
\(760\) | 1.44853e11 | − | 2.50892e11i | 0.434182 | − | 0.752025i | ||||
\(761\) | 7.30279e10 | + | 4.21627e10i | 0.217746 | + | 0.125716i | 0.604906 | − | 0.796297i | \(-0.293211\pi\) |
−0.387160 | + | 0.922013i | \(0.626544\pi\) | |||||||
\(762\) | 3.92114e11 | + | 1.50115e11i | 1.16303 | + | 0.445250i | ||||
\(763\) | −1.28772e9 | − | 2.23040e9i | −0.00379947 | − | 0.00658088i | ||||
\(764\) | 4.76111e10i | 0.139744i | ||||||||
\(765\) | 5.36338e11 | + | 4.81180e11i | 1.56601 | + | 1.40495i | ||||
\(766\) | 1.33127e11 | 0.386680 | ||||||||
\(767\) | −9.97555e9 | + | 5.75938e9i | −0.0288241 | + | 0.0166416i | ||||
\(768\) | −4.16798e11 | + | 6.63979e10i | −1.19806 | + | 0.190858i | ||||
\(769\) | −1.91579e11 | + | 3.31824e11i | −0.547826 | + | 0.948862i | 0.450597 | + | 0.892727i | \(0.351211\pi\) |
−0.998423 | + | 0.0561348i | \(0.982122\pi\) | |||||||
\(770\) | 1.36660e10 | + | 7.89009e9i | 0.0388758 | + | 0.0224450i | ||||
\(771\) | 8.75133e10 | + | 5.49344e11i | 0.247660 | + | 1.55463i | ||||
\(772\) | 1.00350e11 | + | 1.73812e11i | 0.282520 | + | 0.489340i | ||||
\(773\) | − | 2.82562e11i | − | 0.791398i | −0.918380 | − | 0.395699i | \(-0.870502\pi\) | ||
0.918380 | − | 0.395699i | \(-0.129498\pi\) | |||||||
\(774\) | 1.36969e11 | − | 1.52670e11i | 0.381644 | − | 0.425393i | ||||
\(775\) | 1.75085e11 | 0.485336 | ||||||||
\(776\) | 1.03915e11 | − | 5.99953e10i | 0.286570 | − | 0.165451i | ||||
\(777\) | −3.60647e9 | + | 9.42044e9i | −0.00989459 | + | 0.0258456i | ||||
\(778\) | −3.98089e10 | + | 6.89511e10i | −0.108658 | + | 0.188201i | ||||
\(779\) | −2.91505e11 | − | 1.68301e11i | −0.791583 | − | 0.457021i | ||||
\(780\) | −1.07163e10 | + | 8.69380e9i | −0.0289511 | + | 0.0234872i | ||||
\(781\) | −2.87033e11 | − | 4.97156e11i | −0.771485 | − | 1.33625i | ||||
\(782\) | 2.35974e11i | 0.631011i | ||||||||
\(783\) | −2.39921e11 | + | 3.71634e11i | −0.638296 | + | 0.988709i | ||||
\(784\) | 4.71918e11 | 1.24911 | ||||||||
\(785\) | −5.60469e11 | + | 3.23587e11i | −1.47595 | + | 0.852142i | ||||
\(786\) | −4.93839e10 | − | 6.08722e10i | −0.129388 | − | 0.159488i | ||||
\(787\) | 1.58945e11 | − | 2.75301e11i | 0.414331 | − | 0.717643i | −0.581027 | − | 0.813885i | \(-0.697349\pi\) |
0.995358 | + | 0.0962415i | \(0.0306821\pi\) | |||||||
\(788\) | 3.29277e11 | + | 1.90108e11i | 0.853998 | + | 0.493056i | ||||
\(789\) | −1.71114e11 | − | 6.55084e10i | −0.441548 | − | 0.169040i | ||||
\(790\) | 1.25992e10 | + | 2.18225e10i | 0.0323471 | + | 0.0560268i | ||||
\(791\) | 4.03176e8i | 0.00102989i | ||||||||
\(792\) | −2.65593e11 | + | 8.68241e10i | −0.675019 | + | 0.220668i | ||||
\(793\) | −7.05612e9 | −0.0178432 | ||||||||
\(794\) | −2.20012e11 | + | 1.27024e11i | −0.553560 | + | 0.319598i | ||||
\(795\) | 7.26297e11 | − | 1.15703e11i | 1.81822 | − | 0.289651i | ||||
\(796\) | 1.76940e11 | − | 3.06469e11i | 0.440731 | − | 0.763369i | ||||
\(797\) | 1.49603e11 | + | 8.63733e10i | 0.370772 | + | 0.214065i | 0.673796 | − | 0.738918i | \(-0.264663\pi\) |
−0.303024 | + | 0.952983i | \(0.597996\pi\) | |||||||
\(798\) | −1.27630e9 | − | 8.01165e9i | −0.00314731 | − | 0.0197565i | ||||
\(799\) | 8.37059e10 | + | 1.44983e11i | 0.205385 | + | 0.355738i | ||||
\(800\) | − | 6.79449e11i | − | 1.65881i | ||||||
\(801\) | 2.68538e11 | + | 5.65758e10i | 0.652343 | + | 0.137436i | ||||
\(802\) | 4.07685e11 | 0.985433 | ||||||||
\(803\) | 4.20536e11 | − | 2.42796e11i | 1.01144 | − | 0.583956i | ||||
\(804\) | 3.05903e10 | − | 7.99049e10i | 0.0732082 | − | 0.191227i | ||||
\(805\) | 2.55675e9 | − | 4.42842e9i | 0.00608842 | − | 0.0105454i | ||||
\(806\) | 5.41401e9 | + | 3.12578e9i | 0.0128286 | + | 0.00740659i | ||||
\(807\) | 3.80239e11 | − | 3.08477e11i | 0.896526 | − | 0.727326i | ||||
\(808\) | −3.66183e10 | − | 6.34247e10i | −0.0859117 | − | 0.148804i | ||||
\(809\) | 2.89719e11i | 0.676367i | 0.941080 | + | 0.338184i | \(0.109812\pi\) | ||||
−0.941080 | + | 0.338184i | \(0.890188\pi\) | |||||||
\(810\) | −8.04802e11 | − | 3.54863e11i | −1.86960 | − | 0.824367i | ||||
\(811\) | −6.40224e11 | −1.47995 | −0.739977 | − | 0.672632i | \(-0.765164\pi\) | ||||
−0.739977 | + | 0.672632i | \(0.765164\pi\) | |||||||
\(812\) | −4.21906e9 | + | 2.43588e9i | −0.00970491 | + | 0.00560313i | ||||
\(813\) | 2.07552e10 | + | 2.55835e10i | 0.0475077 | + | 0.0585595i | ||||
\(814\) | −4.94140e11 | + | 8.55875e11i | −1.12552 | + | 1.94945i | ||||
\(815\) | −7.53929e11 | − | 4.35281e11i | −1.70883 | − | 0.986596i | ||||
\(816\) | −6.57144e11 | − | 2.51577e11i | −1.48218 | − | 0.567428i | ||||
\(817\) | −9.16985e10 | − | 1.58827e11i | −0.205814 | − | 0.356480i | ||||
\(818\) | 1.04634e12i | 2.33700i | ||||||||
\(819\) | 7.30441e7 | − | 3.46706e8i | 0.000162349 | − | 0.000770593i | ||||
\(820\) | −4.01918e11 | −0.888960 | ||||||||
\(821\) | 5.53368e11 | − | 3.19487e11i | 1.21798 | − | 0.703203i | 0.253497 | − | 0.967336i | \(-0.418419\pi\) |
0.964486 | + | 0.264134i | \(0.0850860\pi\) | |||||||
\(822\) | 8.09792e10 | − | 1.29004e10i | 0.177372 | − | 0.0282563i | ||||
\(823\) | 8.28339e10 | − | 1.43473e11i | 0.180555 | − | 0.312730i | −0.761515 | − | 0.648147i | \(-0.775544\pi\) |
0.942070 | + | 0.335417i | \(0.108877\pi\) | |||||||
\(824\) | 2.96191e11 | + | 1.71006e11i | 0.642484 | + | 0.370939i | ||||
\(825\) | −1.52950e11 | − | 9.60108e11i | −0.330167 | − | 2.07255i | ||||
\(826\) | −4.04302e9 | − | 7.00271e9i | −0.00868531 | − | 0.0150434i | ||||
\(827\) | 4.64990e11i | 0.994080i | 0.867728 | + | 0.497040i | \(0.165580\pi\) | ||||
−0.867728 | + | 0.497040i | \(0.834420\pi\) | |||||||
\(828\) | −3.06845e10 | − | 9.38634e10i | −0.0652827 | − | 0.199699i | ||||
\(829\) | 4.67350e9 | 0.00989519 | 0.00494759 | − | 0.999988i | \(-0.498425\pi\) | ||||
0.00494759 | + | 0.999988i | \(0.498425\pi\) | |||||||
\(830\) | −9.89689e11 | + | 5.71397e11i | −2.08539 | + | 1.20400i | ||||
\(831\) | 2.47924e11 | − | 6.47601e11i | 0.519893 | − | 1.35801i | ||||
\(832\) | −7.85698e8 | + | 1.36087e9i | −0.00163969 | + | 0.00284003i | ||||
\(833\) | 5.29441e11 | + | 3.05673e11i | 1.09961 | + | 0.634859i | ||||
\(834\) | 3.08739e11 | − | 2.50471e11i | 0.638156 | − | 0.517718i | ||||
\(835\) | 7.19947e11 | + | 1.24698e12i | 1.48100 | + | 2.56516i | ||||
\(836\) | − | 2.72490e11i | − | 0.557861i | ||||||
\(837\) | −6.78203e9 | + | 1.36440e11i | −0.0138184 | + | 0.277996i | ||||
\(838\) | −1.82486e10 | −0.0370044 | ||||||||
\(839\) | −3.65032e11 | + | 2.10751e11i | −0.736687 | + | 0.425327i | −0.820864 | − | 0.571124i | \(-0.806507\pi\) |
0.0841762 | + | 0.996451i | \(0.473174\pi\) | |||||||
\(840\) | 5.59584e9 | + | 6.89762e9i | 0.0112395 | + | 0.0138542i | ||||
\(841\) | 9.62893e10 | − | 1.66778e11i | 0.192484 | − | 0.333392i | ||||
\(842\) | −9.85868e10 | − | 5.69191e10i | −0.196142 | − | 0.113243i | ||||
\(843\) | 5.14081e11 | + | 1.96808e11i | 1.01794 | + | 0.389702i | ||||
\(844\) | 1.88624e11 | + | 3.26707e11i | 0.371730 | + | 0.643855i | ||||
\(845\) | − | 8.42917e11i | − | 1.65332i | ||||||
\(846\) | −1.52112e11 | − | 1.36469e11i | −0.296949 | − | 0.266410i | ||||
\(847\) | −4.21466e9 | −0.00818897 | ||||||||
\(848\) | −6.21988e11 | + | 3.59105e11i | −1.20281 | + | 0.694445i | ||||
\(849\) | −3.93627e11 | + | 6.27068e10i | −0.757625 | + | 0.120693i | ||||
\(850\) | 7.13060e11 | − | 1.23506e12i | 1.36600 | − | 2.36598i | ||||
\(851\) | 2.77343e11 | + | 1.60124e11i | 0.528808 | + | 0.305308i | ||||
\(852\) | 5.54400e10 | + | 3.48012e11i | 0.105212 | + | 0.660443i | ||||
\(853\) | −1.06305e11 | − | 1.84125e11i | −0.200796 | − | 0.347789i | 0.747989 | − | 0.663711i | \(-0.231020\pi\) |
−0.948785 | + | 0.315922i | \(0.897686\pi\) | |||||||
\(854\) | − | 4.95330e9i | − | 0.00931244i | ||||||
\(855\) | −5.25199e11 | + | 5.85403e11i | −0.982787 | + | 1.09544i | ||||
\(856\) | −7.87271e10 | −0.146632 | ||||||||
\(857\) | 4.40116e11 | − | 2.54101e11i | 0.815913 | − | 0.471068i | −0.0330917 | − | 0.999452i | \(-0.510535\pi\) |
0.849005 | + | 0.528384i | \(0.177202\pi\) | |||||||
\(858\) | 1.24112e10 | − | 3.24192e10i | 0.0229015 | − | 0.0598209i | ||||
\(859\) | −2.59332e10 | + | 4.49176e10i | −0.0476303 | + | 0.0824982i | −0.888858 | − | 0.458183i | \(-0.848500\pi\) |
0.841227 | + | 0.540682i | \(0.181834\pi\) | |||||||
\(860\) | −1.89646e11 | − | 1.09492e11i | −0.346698 | − | 0.200166i | ||||
\(861\) | 8.01418e9 | − | 6.50168e9i | 0.0145830 | − | 0.0118308i | ||||
\(862\) | −3.86400e11 | − | 6.69265e11i | −0.699856 | − | 1.21219i | ||||
\(863\) | − | 2.89991e11i | − | 0.522808i | −0.965230 | − | 0.261404i | \(-0.915815\pi\) | ||
0.965230 | − | 0.261404i | \(-0.0841855\pi\) | |||||||
\(864\) | 5.29479e11 | + | 2.63189e10i | 0.950153 | + | 0.0472294i | ||||
\(865\) | 3.62553e11 | 0.647601 | ||||||||
\(866\) | −5.37258e11 | + | 3.10186e11i | −0.955238 | + | 0.551507i | ||||
\(867\) | −2.18309e11 | − | 2.69095e11i | −0.386363 | − | 0.476243i | ||||
\(868\) | −7.52255e8 | + | 1.30294e9i | −0.00132521 | + | 0.00229534i | ||||
\(869\) | −1.88203e10 | − | 1.08659e10i | −0.0330025 | − | 0.0190540i | ||||
\(870\) | 1.28655e12 | + | 4.92534e11i | 2.24568 | + | 0.859725i | ||||
\(871\) | −4.87310e9 | − | 8.44046e9i | −0.00846706 | − | 0.0146654i | ||||
\(872\) | − | 1.42024e11i | − | 0.245638i | ||||||
\(873\) | −3.09616e11 | + | 1.01215e11i | −0.533049 | + | 0.174257i | ||||
\(874\) | −2.57561e11 | −0.441402 | ||||||||
\(875\) | −1.14146e10 | + | 6.59023e9i | −0.0194728 | + | 0.0112426i | ||||
\(876\) | −2.94377e11 | + | 4.68958e10i | −0.499905 | + | 0.0796374i | ||||
\(877\) | −2.07408e11 | + | 3.59241e11i | −0.350612 | + | 0.607277i | −0.986357 | − | 0.164622i | \(-0.947360\pi\) |
0.635745 | + | 0.771899i | \(0.280693\pi\) | |||||||
\(878\) | 1.10629e12 | + | 6.38717e11i | 1.86162 | + | 1.07481i | ||||
\(879\) | −2.10099e10 | − | 1.31885e11i | −0.0351941 | − | 0.220923i | ||||
\(880\) | 7.46952e11 | + | 1.29376e12i | 1.24555 | + | 2.15736i | ||||
\(881\) | − | 2.79802e11i | − | 0.464459i | −0.972661 | − | 0.232230i | \(-0.925398\pi\) | ||
0.972661 | − | 0.232230i | \(-0.0746021\pi\) | |||||||
\(882\) | −7.30230e11 | − | 1.53845e11i | −1.20666 | − | 0.254220i | ||||
\(883\) | 5.20365e11 | 0.855983 | 0.427992 | − | 0.903783i | \(-0.359221\pi\) | ||||
0.427992 | + | 0.903783i | \(0.359221\pi\) | |||||||
\(884\) | 1.51183e10 | − | 8.72855e9i | 0.0247567 | − | 0.0142933i | ||||
\(885\) | −2.80262e11 | + | 7.32071e11i | −0.456868 | + | 1.19338i | ||||
\(886\) | 5.62456e11 | − | 9.74202e11i | 0.912754 | − | 1.58094i | ||||
\(887\) | −2.80644e11 | − | 1.62030e11i | −0.453379 | − | 0.261758i | 0.255877 | − | 0.966709i | \(-0.417636\pi\) |
−0.709256 | + | 0.704951i | \(0.750969\pi\) | |||||||
\(888\) | −4.31983e11 | + | 3.50456e11i | −0.694729 | + | 0.563614i | ||||
\(889\) | 5.75507e9 | + | 9.96808e9i | 0.00921391 | + | 0.0159590i | ||||
\(890\) | − | 8.54662e11i | − | 1.36218i | ||||||
\(891\) | 7.54114e11 | − | 8.19999e10i | 1.19654 | − | 0.130108i | ||||
\(892\) | 3.47014e11 | 0.548135 | ||||||||
\(893\) | −1.58246e11 | + | 9.13634e10i | −0.248844 | + | 0.143670i | ||||
\(894\) | 4.50840e10 | + | 5.55720e10i | 0.0705785 | + | 0.0869974i | ||||
\(895\) | −9.15844e11 | + | 1.58629e12i | −1.42735 | + | 2.47224i | ||||
\(896\) | −1.06478e10 | − | 6.14751e9i | −0.0165207 | − | 0.00953821i | ||||
\(897\) | −1.05053e10 | − | 4.02179e9i | −0.0162270 | − | 0.00621226i | ||||
\(898\) | −5.25397e11 | − | 9.10014e11i | −0.807946 | − | 1.39940i | ||||
\(899\) | − | 2.13960e11i | − | 0.327563i | ||||||
\(900\) | −1.23035e11 | + | 5.83990e11i | −0.187525 | + | 0.890093i | ||||
\(901\) | −9.30405e11 | −1.41180 | ||||||||
\(902\) | 8.75614e11 | − | 5.05536e11i | 1.32278 | − | 0.763706i | ||||
\(903\) | 5.55274e9 | − | 8.84578e8i | 0.00835134 | − | 0.00133041i | ||||
\(904\) | −1.11167e10 | + | 1.92547e10i | −0.0166457 | + | 0.0288312i | ||||
\(905\) | −6.63498e10 | − | 3.83071e10i | −0.0989111 | − | 0.0571064i | ||||
\(906\) | −2.12772e10 | − | 1.33562e11i | −0.0315792 | − | 0.198231i | ||||
\(907\) | −1.26215e11 | − | 2.18611e11i | −0.186501 | − | 0.323030i | 0.757580 | − | 0.652742i | \(-0.226381\pi\) |
−0.944081 | + | 0.329713i | \(0.893048\pi\) | |||||||
\(908\) | 4.50672e11i | 0.663006i | ||||||||
\(909\) | 6.17771e10 | + | 1.88975e11i | 0.0904841 | + | 0.276789i | ||||
\(910\) | −1.10344e9 | −0.00160910 | ||||||||
\(911\) | 4.39593e11 | − | 2.53799e11i | 0.638230 | − | 0.368482i | −0.145702 | − | 0.989328i | \(-0.546544\pi\) |
0.783932 | + | 0.620846i | \(0.213211\pi\) | |||||||
\(912\) | 2.74592e11 | − | 7.17260e11i | 0.396924 | − | 1.03681i | ||||
\(913\) | 4.92788e11 | − | 8.53533e11i | 0.709213 | − | 1.22839i | ||||
\(914\) | −5.41268e11 | − | 3.12501e11i | −0.775582 | − | 0.447782i | ||||
\(915\) | −3.72905e11 | + | 3.02527e11i | −0.532002 | + | 0.431599i | ||||
\(916\) | −2.28359e11 | − | 3.95529e11i | −0.324367 | − | 0.561819i | ||||
\(917\) | − | 2.14883e9i | − | 0.00303896i | ||||||
\(918\) | 9.34829e11 | + | 6.03511e11i | 1.31632 | + | 0.849796i | ||||
\(919\) | −5.27280e11 | −0.739229 | −0.369615 | − | 0.929185i | \(-0.620510\pi\) | ||||
−0.369615 | + | 0.929185i | \(0.620510\pi\) | |||||||
\(920\) | 2.44208e11 | − | 1.40993e11i | 0.340885 | − | 0.196810i | ||||
\(921\) | −1.70461e11 | − | 2.10116e11i | −0.236912 | − | 0.292026i | ||||
\(922\) | −5.18584e11 | + | 8.98214e11i | −0.717622 | + | 1.24296i | ||||
\(923\) | 3.47640e10 | + | 2.00710e10i | 0.0478986 | + | 0.0276543i | ||||
\(924\) | 7.80205e9 | + | 2.98689e9i | 0.0107034 | + | 0.00409762i | ||||
\(925\) | −9.67716e11 | − | 1.67613e12i | −1.32185 | − | 2.28950i | ||||
\(926\) | − | 8.32277e11i | − | 1.13194i | ||||||
\(927\) | −6.91098e11 | − | 6.20024e11i | −0.935881 | − | 0.839633i | ||||
\(928\) | −8.30312e11 | −1.11956 | ||||||||
\(929\) | −1.22626e12 | + | 7.07981e11i | −1.64634 | + | 0.950515i | −0.667831 | + | 0.744313i | \(0.732777\pi\) |
−0.978509 | + | 0.206202i | \(0.933889\pi\) | |||||||
\(930\) | 4.20139e11 | − | 6.69302e10i | 0.561643 | − | 0.0894726i | ||||
\(931\) | −3.33636e11 | + | 5.77875e11i | −0.444093 | + | 0.769192i | ||||
\(932\) | −3.60864e11 | − | 2.08345e11i | −0.478278 | − | 0.276134i | ||||
\(933\) | 1.52499e10 | + | 9.57280e10i | 0.0201253 | + | 0.126332i | ||||
\(934\) | 1.89173e10 | + | 3.27657e10i | 0.0248583 | + | 0.0430559i | ||||
\(935\) | 1.93528e12i | 2.53220i | ||||||||
\(936\) | 1.30480e10 | − | 1.45437e10i | 0.0169997 | − | 0.0189484i | ||||
\(937\) | 1.26551e12 | 1.64174 | 0.820872 | − | 0.571112i | \(-0.193488\pi\) | ||||
0.820872 | + | 0.571112i | \(0.193488\pi\) | |||||||
\(938\) | 5.92510e9 | − | 3.42086e9i | 0.00765392 | − | 0.00441899i | ||||
\(939\) | 3.04424e11 | − | 7.95184e11i | 0.391576 | − | 1.02283i | ||||
\(940\) | −1.09092e11 | + | 1.88953e11i | −0.139728 | + | 0.242016i | ||||
\(941\) | 9.33988e11 | + | 5.39238e11i | 1.19120 | + | 0.687737i | 0.958578 | − | 0.284831i | \(-0.0919376\pi\) |
0.232618 | + | 0.972568i | \(0.425271\pi\) | |||||||
\(942\) | −7.76114e11 | + | 6.29640e11i | −0.985649 | + | 0.799629i | ||||
\(943\) | −1.63817e11 | − | 2.83739e11i | −0.207163 | − | 0.358816i | ||||
\(944\) | − | 7.65502e11i | − | 0.963959i | ||||||
\(945\) | −1.10045e10 | − | 2.14546e10i | −0.0137989 | − | 0.0269025i | ||||
\(946\) | 5.50882e11 | 0.687851 | ||||||||
\(947\) | 6.59690e11 | − | 3.80872e11i | 0.820239 | − | 0.473565i | −0.0302601 | − | 0.999542i | \(-0.509634\pi\) |
0.850499 | + | 0.525977i | \(0.176300\pi\) | |||||||
\(948\) | 8.40469e9 | + | 1.03599e10i | 0.0104061 | + | 0.0128269i | ||||
\(949\) | −1.69777e10 | + | 2.94063e10i | −0.0209322 | + | 0.0362556i | ||||
\(950\) | 1.34804e12 | + | 7.78291e11i | 1.65504 | + | 0.955537i | ||||
\(951\) | 8.04344e11 | + | 3.07931e11i | 0.983377 | + | 0.376470i | ||||
\(952\) | −5.61821e9 | − | 9.73103e9i | −0.00683991 | − | 0.0118471i | ||||
\(953\) | − | 2.83077e11i | − | 0.343189i | −0.985168 | − | 0.171594i | \(-0.945108\pi\) | ||
0.985168 | − | 0.171594i | \(-0.0548918\pi\) | |||||||
\(954\) | 1.07951e12 | − | 3.52899e11i | 1.30327 | − | 0.426046i | ||||
\(955\) | 3.69077e11 | 0.443714 | ||||||||
\(956\) | 5.20932e11 | − | 3.00760e11i | 0.623662 | − | 0.360071i | ||||
\(957\) | −1.17329e12 | + | 1.86910e11i | −1.39880 | + | 0.222836i | ||||
\(958\) | −7.03417e11 | + | 1.21835e12i | −0.835124 | + | 1.44648i | ||||
\(959\) | 1.94677e9 | + | 1.12397e9i | 0.00230166 | + | 0.00132886i | ||||
\(960\) | 1.68236e10 | + | 1.05606e11i | 0.0198077 | + | 0.124338i | ||||
\(961\) | 3.93408e11 | + | 6.81402e11i | 0.461264 | + | 0.798932i | ||||
\(962\) | − | 6.91062e10i | − | 0.0806894i | ||||||
\(963\) | 2.09131e11 | + | 4.40598e10i | 0.243172 | + | 0.0512315i | ||||
\(964\) | 3.53957e11 | 0.409866 | ||||||||
\(965\) | 1.34738e12 | − | 7.77908e11i | 1.55374 | − | 0.897054i | ||||
\(966\) | 2.82324e9 | − | 7.37459e9i | 0.00324220 | − | 0.00846894i | ||||
\(967\) | 1.65294e10 | − | 2.86297e10i | 0.0189039 | − | 0.0327425i | −0.856419 | − | 0.516282i | \(-0.827316\pi\) |
0.875323 | + | 0.483539i | \(0.160649\pi\) | |||||||
\(968\) | −2.01282e11 | − | 1.16210e11i | −0.229246 | − | 0.132356i | ||||
\(969\) | 7.72649e11 | − | 6.26829e11i | 0.876370 | − | 0.710974i | ||||
\(970\) | 5.07223e11 | + | 8.78537e11i | 0.572944 | + | 0.992368i | ||||
\(971\) | 1.54791e12i | 1.74128i | 0.491922 | + | 0.870639i | \(0.336294\pi\) | ||||
−0.491922 | + | 0.870639i | \(0.663706\pi\) | |||||||
\(972\) | −4.50324e11 | − | 1.18500e11i | −0.504498 | − | 0.132755i | ||||
\(973\) | 1.08987e10 | 0.0121597 | ||||||||
\(974\) | −1.44955e12 | + | 8.36897e11i | −1.61063 | + | 0.929900i | ||||
\(975\) | 4.28304e10 | + | 5.27941e10i | 0.0473951 | + | 0.0584208i | ||||
\(976\) | 2.34464e11 | − | 4.06104e11i | 0.258391 | − | 0.447546i | ||||
\(977\) | −1.21634e12 | − | 7.02252e11i | −1.33498 | − | 0.770752i | −0.348924 | − | 0.937151i | \(-0.613453\pi\) |
−0.986059 | + | 0.166399i | \(0.946786\pi\) | |||||||
\(978\) | −1.25551e12 | − | 4.80651e11i | −1.37235 | − | 0.525381i | ||||
\(979\) | 3.68541e11 | + | 6.38332e11i | 0.401195 | + | 0.694890i | ||||
\(980\) | 7.96755e11i | 0.863815i | ||||||||
\(981\) | −7.94840e10 | + | 3.77273e11i | −0.0858230 | + | 0.407361i | ||||
\(982\) | −1.03551e11 | −0.111354 | ||||||||
\(983\) | −8.08341e11 | + | 4.66696e11i | −0.865726 | + | 0.499827i | −0.865926 | − | 0.500173i | \(-0.833270\pi\) |
0.000199369 | 1.00000i | \(0.499937\pi\) | ||||||||
\(984\) | 5.62006e11 | − | 8.95304e10i | 0.599461 | − | 0.0954970i | ||||
\(985\) | 1.47370e12 | − | 2.55253e12i | 1.56554 | − | 2.71160i | ||||
\(986\) | −1.50928e12 | − | 8.71385e11i | −1.59685 | − | 0.921939i | ||||
\(987\) | −8.81346e8 | − | 5.53244e9i | −0.000928705 | − | 0.00582973i | ||||
\(988\) | 9.52704e9 | + | 1.65013e10i | 0.00999839 | + | 0.0173177i | ||||
\(989\) | − | 1.78511e11i | − | 0.186586i | ||||||
\(990\) | −7.34044e11 | − | 2.24543e12i | −0.764155 | − | 2.33754i | ||||
\(991\) | 9.56186e11 | 0.991397 | 0.495699 | − | 0.868495i | \(-0.334912\pi\) | ||||
0.495699 | + | 0.868495i | \(0.334912\pi\) | |||||||
\(992\) | −2.22066e11 | + | 1.28210e11i | −0.229316 | + | 0.132396i | ||||
\(993\) | −6.29916e11 | + | 1.64540e12i | −0.647867 | + | 1.69229i | ||||
\(994\) | −1.40896e10 | + | 2.44039e10i | −0.0144329 | + | 0.0249985i | ||||
\(995\) | −2.37572e12 | − | 1.37162e12i | −2.42384 | − | 1.39940i | ||||
\(996\) | −4.69840e11 | + | 3.81168e11i | −0.477434 | + | 0.387328i | ||||
\(997\) | 5.59768e11 | + | 9.69546e11i | 0.566536 | + | 0.981269i | 0.996905 | + | 0.0786157i | \(0.0250500\pi\) |
−0.430369 | + | 0.902653i | \(0.641617\pi\) | |||||||
\(998\) | − | 3.40566e11i | − | 0.343305i | ||||||
\(999\) | 1.34366e12 | − | 6.89192e11i | 1.34904 | − | 0.691955i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 9.9.d.a.5.2 | yes | 14 | |
3.2 | odd | 2 | 27.9.d.a.17.6 | 14 | |||
4.3 | odd | 2 | 144.9.q.a.113.3 | 14 | |||
9.2 | odd | 6 | inner | 9.9.d.a.2.2 | ✓ | 14 | |
9.4 | even | 3 | 81.9.b.a.80.3 | 14 | |||
9.5 | odd | 6 | 81.9.b.a.80.12 | 14 | |||
9.7 | even | 3 | 27.9.d.a.8.6 | 14 | |||
12.11 | even | 2 | 432.9.q.a.17.7 | 14 | |||
36.7 | odd | 6 | 432.9.q.a.305.7 | 14 | |||
36.11 | even | 6 | 144.9.q.a.65.3 | 14 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
9.9.d.a.2.2 | ✓ | 14 | 9.2 | odd | 6 | inner | |
9.9.d.a.5.2 | yes | 14 | 1.1 | even | 1 | trivial | |
27.9.d.a.8.6 | 14 | 9.7 | even | 3 | |||
27.9.d.a.17.6 | 14 | 3.2 | odd | 2 | |||
81.9.b.a.80.3 | 14 | 9.4 | even | 3 | |||
81.9.b.a.80.12 | 14 | 9.5 | odd | 6 | |||
144.9.q.a.65.3 | 14 | 36.11 | even | 6 | |||
144.9.q.a.113.3 | 14 | 4.3 | odd | 2 | |||
432.9.q.a.17.7 | 14 | 12.11 | even | 2 | |||
432.9.q.a.305.7 | 14 | 36.7 | odd | 6 |