Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [22,12,Mod(3,22)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(22, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("22.3");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 22 = 2 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 22.c (of order \(5\), degree \(4\), 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: | \(16.9035499723\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 4 x^{19} + 339028 x^{18} - 38195378 x^{17} + 220926638311 x^{16} - 35915431412664 x^{15} + \cdots + 11\!\cdots\!00 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{24}\cdot 3^{4}\cdot 5\cdot 11^{8} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 5.4 | ||
Root | \(-203.932 + 148.166i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 22.5 |
Dual form | 22.12.c.a.9.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/22\mathbb{Z}\right)^\times\).
\(n\) | \(13\) |
\(\chi(n)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.88854 | + | 30.4338i | 0.218508 | + | 0.672499i | ||||
\(3\) | 205.814 | + | 149.533i | 0.489000 | + | 0.355279i | 0.804800 | − | 0.593547i | \(-0.202273\pi\) |
−0.315800 | + | 0.948826i | \(0.602273\pi\) | |||||||
\(4\) | −828.433 | + | 601.892i | −0.404508 | + | 0.293893i | ||||
\(5\) | −2975.41 | + | 9157.38i | −0.425807 | + | 1.31050i | 0.476413 | + | 0.879222i | \(0.341937\pi\) |
−0.902220 | + | 0.431277i | \(0.858063\pi\) | |||||||
\(6\) | −2515.65 | + | 7742.38i | −0.132074 | + | 0.406483i | ||||
\(7\) | 94.4405 | − | 68.6150i | 0.00212383 | − | 0.00154305i | −0.586723 | − | 0.809788i | \(-0.699582\pi\) |
0.588847 | + | 0.808245i | \(0.299582\pi\) | |||||||
\(8\) | −26509.9 | − | 19260.5i | −0.286031 | − | 0.207813i | ||||
\(9\) | −34741.9 | − | 106925.i | −0.196119 | − | 0.603593i | ||||
\(10\) | −308117. | −0.974350 | ||||||||
\(11\) | −54030.4 | + | 531406.i | −0.101153 | + | 0.994871i | ||||
\(12\) | −260506. | −0.302219 | ||||||||
\(13\) | −4721.05 | − | 14529.9i | −0.00352655 | − | 0.0108536i | 0.949278 | − | 0.314439i | \(-0.101816\pi\) |
−0.952804 | + | 0.303585i | \(0.901816\pi\) | |||||||
\(14\) | 3022.10 | + | 2195.68i | 0.00150177 | + | 0.00109110i | ||||
\(15\) | −1.98171e6 | + | 1.43980e6i | −0.673812 | + | 0.489553i | ||||
\(16\) | 324028. | − | 997255.i | 0.0772542 | − | 0.237764i | ||||
\(17\) | 160349. | − | 493503.i | 0.0273903 | − | 0.0842987i | −0.936427 | − | 0.350863i | \(-0.885888\pi\) |
0.963817 | + | 0.266564i | \(0.0858884\pi\) | |||||||
\(18\) | 2.91058e6 | − | 2.11466e6i | 0.363062 | − | 0.263780i | ||||
\(19\) | −1.09783e7 | − | 7.97618e6i | −1.01716 | − | 0.739010i | −0.0514609 | − | 0.998675i | \(-0.516388\pi\) |
−0.965699 | + | 0.259665i | \(0.916388\pi\) | |||||||
\(20\) | −3.04682e6 | − | 9.37716e6i | −0.212903 | − | 0.655249i | ||||
\(21\) | 29697.4 | 0.00158677 | ||||||||
\(22\) | −1.67070e7 | + | 3.61048e6i | −0.691152 | + | 0.149362i | ||||
\(23\) | −1.75895e7 | −0.569835 | −0.284918 | − | 0.958552i | \(-0.591966\pi\) | ||||
−0.284918 | + | 0.958552i | \(0.591966\pi\) | |||||||
\(24\) | −2.57603e6 | − | 7.92820e6i | −0.0660372 | − | 0.203242i | ||||
\(25\) | −3.55018e7 | − | 2.57936e7i | −0.727077 | − | 0.528252i | ||||
\(26\) | 395516. | − | 287359.i | 0.00652846 | − | 0.00474320i | ||||
\(27\) | 2.27646e7 | − | 7.00623e7i | 0.305323 | − | 0.939688i | ||||
\(28\) | −36938.8 | + | 113686.i | −0.000405615 | + | 0.00124835i | ||||
\(29\) | −6.38771e7 | + | 4.64094e7i | −0.578304 | + | 0.420162i | −0.838112 | − | 0.545498i | \(-0.816341\pi\) |
0.259808 | + | 0.965660i | \(0.416341\pi\) | |||||||
\(30\) | −6.34148e7 | − | 4.60736e7i | −0.476457 | − | 0.346167i | ||||
\(31\) | 6.32266e6 | + | 1.94591e7i | 0.0396653 | + | 0.122077i | 0.968928 | − | 0.247341i | \(-0.0795569\pi\) |
−0.929263 | + | 0.369419i | \(0.879557\pi\) | |||||||
\(32\) | 3.35544e7 | 0.176777 | ||||||||
\(33\) | −9.05830e7 | + | 1.01292e8i | −0.402921 | + | 0.450554i | ||||
\(34\) | 1.66048e7 | 0.0626758 | ||||||||
\(35\) | 347335. | + | 1.06899e6i | 0.00111783 | + | 0.00344031i | ||||
\(36\) | 9.31385e7 | + | 6.76691e7i | 0.256724 | + | 0.186521i | ||||
\(37\) | −5.49529e8 | + | 3.99256e8i | −1.30281 | + | 0.946547i | −0.999979 | − | 0.00649663i | \(-0.997932\pi\) |
−0.302832 | + | 0.953044i | \(0.597932\pi\) | |||||||
\(38\) | 1.34186e8 | − | 4.12983e8i | 0.274725 | − | 0.845518i | ||||
\(39\) | 1.20104e6 | − | 3.69642e6i | 0.00213158 | − | 0.00656033i | ||||
\(40\) | 2.55254e8 | − | 1.85453e8i | 0.394133 | − | 0.286354i | ||||
\(41\) | 7.53201e8 | + | 5.47232e8i | 1.01531 | + | 0.737667i | 0.965317 | − | 0.261082i | \(-0.0840794\pi\) |
0.0499952 | + | 0.998749i | \(0.484079\pi\) | |||||||
\(42\) | 293664. | + | 903806.i | 0.000346721 | + | 0.00106710i | ||||
\(43\) | 9.71135e8 | 1.00740 | 0.503701 | − | 0.863878i | \(-0.331971\pi\) | ||||
0.503701 | + | 0.863878i | \(0.331971\pi\) | |||||||
\(44\) | −2.75088e8 | − | 4.72755e8i | −0.251468 | − | 0.432162i | ||||
\(45\) | 1.08252e9 | 0.874517 | ||||||||
\(46\) | −1.73934e8 | − | 5.35314e8i | −0.124514 | − | 0.383213i | ||||
\(47\) | 1.69793e9 | + | 1.23362e9i | 1.07989 | + | 0.784588i | 0.977664 | − | 0.210173i | \(-0.0674028\pi\) |
0.102228 | + | 0.994761i | \(0.467403\pi\) | |||||||
\(48\) | 2.15812e8 | − | 1.56797e8i | 0.122250 | − | 0.0888198i | ||||
\(49\) | −6.11023e8 | + | 1.88054e9i | −0.309015 | + | 0.951050i | ||||
\(50\) | 4.33935e8 | − | 1.33552e9i | 0.196377 | − | 0.604385i | ||||
\(51\) | 1.06797e8 | − | 7.75927e7i | 0.0433435 | − | 0.0314909i | ||||
\(52\) | 1.26565e7 | + | 9.19550e6i | 0.00461632 | + | 0.00335395i | ||||
\(53\) | 9.19652e8 | + | 2.83040e9i | 0.302069 | + | 0.929673i | 0.980755 | + | 0.195244i | \(0.0625500\pi\) |
−0.678685 | + | 0.734429i | \(0.737450\pi\) | |||||||
\(54\) | 2.35737e9 | 0.698655 | ||||||||
\(55\) | −4.70553e9 | − | 2.07593e9i | −1.26070 | − | 0.556183i | ||||
\(56\) | −3.82517e6 | −0.000928146 | ||||||||
\(57\) | −1.06678e9 | − | 3.28323e9i | −0.234836 | − | 0.722752i | ||||
\(58\) | −2.04407e9 | − | 1.48510e9i | −0.408923 | − | 0.297100i | ||||
\(59\) | −7.54761e9 | + | 5.48366e9i | −1.37443 | + | 0.998584i | −0.377057 | + | 0.926190i | \(0.623064\pi\) |
−0.997376 | + | 0.0723941i | \(0.976936\pi\) | |||||||
\(60\) | 7.75114e8 | − | 2.38556e9i | 0.128687 | − | 0.396057i | ||||
\(61\) | −1.00770e8 | + | 3.10138e8i | −0.0152762 | + | 0.0470154i | −0.958404 | − | 0.285415i | \(-0.907869\pi\) |
0.943128 | + | 0.332430i | \(0.107869\pi\) | |||||||
\(62\) | −5.29694e8 | + | 3.84845e8i | −0.0734296 | + | 0.0533497i | ||||
\(63\) | −1.06177e7 | − | 7.71421e6i | −0.00134790 | − | 0.000979305i | ||||
\(64\) | 3.31804e8 | + | 1.02119e9i | 0.0386271 | + | 0.118882i | ||||
\(65\) | 1.47103e8 | 0.0157253 | ||||||||
\(66\) | −3.97843e9 | − | 1.75516e9i | −0.391039 | − | 0.172514i | ||||
\(67\) | −4.66934e9 | −0.422517 | −0.211258 | − | 0.977430i | \(-0.567756\pi\) | ||||
−0.211258 | + | 0.977430i | \(0.567756\pi\) | |||||||
\(68\) | 1.64197e8 | + | 5.05348e8i | 0.0136952 | + | 0.0421494i | ||||
\(69\) | −3.62016e9 | − | 2.63020e9i | −0.278649 | − | 0.202451i | ||||
\(70\) | −2.90987e7 | + | 2.11414e7i | −0.00206935 | + | 0.00150347i | ||||
\(71\) | 3.08425e9 | − | 9.49234e9i | 0.202875 | − | 0.624385i | −0.796919 | − | 0.604086i | \(-0.793538\pi\) |
0.999794 | − | 0.0202987i | \(-0.00646172\pi\) | |||||||
\(72\) | −1.13842e9 | + | 3.50371e9i | −0.0693386 | + | 0.213402i | ||||
\(73\) | 1.86915e10 | − | 1.35802e10i | 1.05528 | − | 0.766708i | 0.0820731 | − | 0.996626i | \(-0.473846\pi\) |
0.973210 | + | 0.229918i | \(0.0738459\pi\) | |||||||
\(74\) | −1.75849e10 | − | 1.27762e10i | −0.921226 | − | 0.669310i | ||||
\(75\) | −3.44980e9 | − | 1.06174e10i | −0.167864 | − | 0.516631i | ||||
\(76\) | 1.38956e10 | 0.628639 | ||||||||
\(77\) | 3.13598e7 | + | 5.38936e7i | 0.00132030 | + | 0.00226902i | ||||
\(78\) | 1.24373e8 | 0.00487758 | ||||||||
\(79\) | 3.34649e9 | + | 1.02994e10i | 0.122360 | + | 0.376586i | 0.993411 | − | 0.114607i | \(-0.0365609\pi\) |
−0.871051 | + | 0.491193i | \(0.836561\pi\) | |||||||
\(80\) | 8.16813e9 | + | 5.93449e9i | 0.278694 | + | 0.202483i | ||||
\(81\) | −9.50594e8 | + | 6.90647e8i | −0.0302920 | + | 0.0220084i | ||||
\(82\) | −9.20630e9 | + | 2.83341e10i | −0.274226 | + | 0.843982i | ||||
\(83\) | −1.05589e10 | + | 3.24970e10i | −0.294232 | + | 0.905552i | 0.689247 | + | 0.724527i | \(0.257942\pi\) |
−0.983478 | + | 0.181025i | \(0.942058\pi\) | |||||||
\(84\) | −2.46023e7 | + | 1.78747e7i | −0.000641860 | + | 0.000466339i | ||||
\(85\) | 4.04210e9 | + | 2.93675e9i | 0.0988104 | + | 0.0717899i | ||||
\(86\) | 9.60311e9 | + | 2.95553e10i | 0.220126 | + | 0.677477i | ||||
\(87\) | −2.00866e10 | −0.432066 | ||||||||
\(88\) | 1.16675e10 | − | 1.30468e10i | 0.235680 | − | 0.263543i | ||||
\(89\) | 4.56398e10 | 0.866361 | 0.433181 | − | 0.901307i | \(-0.357391\pi\) | ||||
0.433181 | + | 0.901307i | \(0.357391\pi\) | |||||||
\(90\) | 1.07046e10 | + | 3.29453e10i | 0.191089 | + | 0.588111i | ||||
\(91\) | −1.44283e6 | − | 1.04828e6i | −2.42375e−5 | − | 1.76096e-5i | ||||
\(92\) | 1.45717e10 | − | 1.05870e10i | 0.230503 | − | 0.167470i | ||||
\(93\) | −1.60849e9 | + | 4.95042e9i | −0.0239752 | + | 0.0737880i | ||||
\(94\) | −2.07536e10 | + | 6.38730e10i | −0.291669 | + | 0.897665i | ||||
\(95\) | 1.05706e11 | − | 7.67998e10i | 1.40158 | − | 1.01831i | ||||
\(96\) | 6.90599e9 | + | 5.01749e9i | 0.0864438 | + | 0.0628051i | ||||
\(97\) | −3.90272e10 | − | 1.20114e11i | −0.461449 | − | 1.42019i | −0.863394 | − | 0.504529i | \(-0.831666\pi\) |
0.401946 | − | 0.915663i | \(-0.368334\pi\) | |||||||
\(98\) | −6.32740e10 | −0.707102 | ||||||||
\(99\) | 5.86976e10 | − | 1.26849e10i | 0.620335 | − | 0.134058i | ||||
\(100\) | 4.49358e10 | 0.449358 | ||||||||
\(101\) | 2.93042e10 | + | 9.01889e10i | 0.277435 | + | 0.853858i | 0.988565 | + | 0.150797i | \(0.0481839\pi\) |
−0.711130 | + | 0.703061i | \(0.751816\pi\) | |||||||
\(102\) | 3.41751e9 | + | 2.48297e9i | 0.0306485 | + | 0.0222674i | ||||
\(103\) | 1.40392e10 | − | 1.02000e10i | 0.119326 | − | 0.0866957i | −0.526521 | − | 0.850162i | \(-0.676504\pi\) |
0.645848 | + | 0.763466i | \(0.276504\pi\) | |||||||
\(104\) | −1.54699e8 | + | 4.76116e8i | −0.00124683 | + | 0.00383733i | ||||
\(105\) | −8.83622e7 | + | 2.71951e8i | −0.000675655 | + | 0.00207945i | ||||
\(106\) | −7.70458e10 | + | 5.59770e10i | −0.559199 | + | 0.406282i | ||||
\(107\) | 6.41049e10 | + | 4.65749e10i | 0.441856 | + | 0.321027i | 0.786372 | − | 0.617753i | \(-0.211957\pi\) |
−0.344516 | + | 0.938780i | \(0.611957\pi\) | |||||||
\(108\) | 2.33110e10 | + | 7.17438e10i | 0.152662 | + | 0.469844i | ||||
\(109\) | −2.61687e11 | −1.62906 | −0.814529 | − | 0.580122i | \(-0.803005\pi\) | ||||
−0.814529 | + | 0.580122i | \(0.803005\pi\) | |||||||
\(110\) | 1.66477e10 | − | 1.63735e11i | 0.0985584 | − | 0.969353i | ||||
\(111\) | −1.72803e11 | −0.973363 | ||||||||
\(112\) | −3.78254e7 | − | 1.16414e8i | −0.000202807 | − | 0.000624177i | ||||
\(113\) | −8.03692e10 | − | 5.83916e10i | −0.410354 | − | 0.298139i | 0.363391 | − | 0.931637i | \(-0.381619\pi\) |
−0.773745 | + | 0.633497i | \(0.781619\pi\) | |||||||
\(114\) | 8.93721e10 | − | 6.49327e10i | 0.434736 | − | 0.315854i | ||||
\(115\) | 5.23359e10 | − | 1.61073e11i | 0.242640 | − | 0.746768i | ||||
\(116\) | 2.49844e10 | − | 7.68942e10i | 0.110446 | − | 0.339918i | ||||
\(117\) | −1.38959e9 | + | 1.00959e9i | −0.00585954 | + | 0.00425721i | ||||
\(118\) | −2.41524e11 | − | 1.75477e11i | −0.971871 | − | 0.706106i | ||||
\(119\) | −1.87183e7 | − | 5.76091e7i | −7.19049e−5 | − | 0.000221301i | ||||
\(120\) | 8.02663e10 | 0.294467 | ||||||||
\(121\) | −2.79473e11 | − | 5.74242e10i | −0.979536 | − | 0.201268i | ||||
\(122\) | −1.04351e10 | −0.0349558 | ||||||||
\(123\) | 7.31903e10 | + | 2.25257e11i | 0.234410 | + | 0.721439i | ||||
\(124\) | −1.69502e10 | − | 1.23151e10i | −0.0519225 | − | 0.0377239i | ||||
\(125\) | −3.85241e10 | + | 2.79894e10i | −0.112909 | + | 0.0820329i | ||||
\(126\) | 1.29779e8 | − | 3.99419e8i | 0.000364055 | − | 0.00112045i | ||||
\(127\) | −2.02925e11 | + | 6.24538e11i | −0.545023 | + | 1.67741i | 0.175913 | + | 0.984406i | \(0.443712\pi\) |
−0.720935 | + | 0.693002i | \(0.756288\pi\) | |||||||
\(128\) | −2.77976e10 | + | 2.01961e10i | −0.0715077 | + | 0.0519534i | ||||
\(129\) | 1.99874e11 | + | 1.45217e11i | 0.492620 | + | 0.357909i | ||||
\(130\) | 1.45463e9 | + | 4.47691e9i | 0.00343610 | + | 0.0105752i | ||||
\(131\) | 7.05242e10 | 0.159715 | 0.0798576 | − | 0.996806i | \(-0.474553\pi\) | ||||
0.0798576 | + | 0.996806i | \(0.474553\pi\) | |||||||
\(132\) | 1.40753e10 | − | 1.38435e11i | 0.0305703 | − | 0.300669i | ||||
\(133\) | −1.58408e9 | −0.00330060 | ||||||||
\(134\) | −4.61729e10 | − | 1.42106e11i | −0.0923232 | − | 0.284142i | ||||
\(135\) | 5.73853e11 | + | 4.16929e11i | 1.10145 | + | 0.800251i | ||||
\(136\) | −1.37560e10 | + | 9.99430e9i | −0.0253529 | + | 0.0184200i | ||||
\(137\) | 3.16110e11 | − | 9.72887e11i | 0.559597 | − | 1.72226i | −0.123887 | − | 0.992296i | \(-0.539536\pi\) |
0.683484 | − | 0.729966i | \(-0.260464\pi\) | |||||||
\(138\) | 4.42489e10 | − | 1.36184e11i | 0.0752607 | − | 0.231628i | ||||
\(139\) | −1.10014e11 | + | 7.99297e10i | −0.179831 | + | 0.130655i | −0.674059 | − | 0.738677i | \(-0.735451\pi\) |
0.494228 | + | 0.869332i | \(0.335451\pi\) | |||||||
\(140\) | −9.31158e8 | − | 6.76526e8i | −0.00146325 | − | 0.00106311i | ||||
\(141\) | 1.64992e11 | + | 5.07792e11i | 0.249320 | + | 0.767327i | ||||
\(142\) | 3.19387e11 | 0.464228 | ||||||||
\(143\) | 7.97636e9 | − | 1.72374e9i | 0.0111547 | − | 0.00241059i | ||||
\(144\) | −1.17889e11 | −0.158664 | ||||||||
\(145\) | −2.34928e11 | − | 7.23034e11i | −0.304376 | − | 0.936774i | ||||
\(146\) | 5.98129e11 | + | 4.34566e11i | 0.746198 | + | 0.542144i | ||||
\(147\) | −4.06960e11 | + | 2.95673e11i | −0.488997 | + | 0.355277i | ||||
\(148\) | 2.14939e11 | − | 6.61515e11i | 0.248815 | − | 0.765773i | ||||
\(149\) | −5.17601e10 | + | 1.59301e11i | −0.0577391 | + | 0.177703i | −0.975767 | − | 0.218814i | \(-0.929781\pi\) |
0.918027 | + | 0.396517i | \(0.129781\pi\) | |||||||
\(150\) | 2.89014e11 | − | 2.09981e11i | 0.310754 | − | 0.225776i | ||||
\(151\) | 1.14532e12 | + | 8.32124e11i | 1.18728 | + | 0.862611i | 0.992974 | − | 0.118330i | \(-0.0377540\pi\) |
0.194308 | + | 0.980941i | \(0.437754\pi\) | |||||||
\(152\) | 1.37407e11 | + | 4.22895e11i | 0.137363 | + | 0.422759i | ||||
\(153\) | −5.83386e10 | −0.0562539 | ||||||||
\(154\) | −1.33008e9 | + | 1.48733e9i | −0.00123741 | + | 0.00138370i | ||||
\(155\) | −1.97007e11 | −0.176872 | ||||||||
\(156\) | 1.22986e9 | + | 3.78513e9i | 0.00106579 | + | 0.00328017i | ||||
\(157\) | 7.46994e11 | + | 5.42723e11i | 0.624984 | + | 0.454077i | 0.854659 | − | 0.519190i | \(-0.173766\pi\) |
−0.229675 | + | 0.973267i | \(0.573766\pi\) | |||||||
\(158\) | −2.80359e11 | + | 2.03693e11i | −0.226517 | + | 0.164574i | ||||
\(159\) | −2.33960e11 | + | 7.20055e11i | −0.182582 | + | 0.561929i | ||||
\(160\) | −9.98383e10 | + | 3.07271e11i | −0.0752727 | + | 0.231666i | ||||
\(161\) | −1.66116e9 | + | 1.20690e9i | −0.00121023 | + | 0.000879285i | ||||
\(162\) | −3.04190e10 | − | 2.21007e10i | −0.0214197 | − | 0.0155623i | ||||
\(163\) | −3.12913e10 | − | 9.63048e10i | −0.0213006 | − | 0.0655565i | 0.939841 | − | 0.341612i | \(-0.110973\pi\) |
−0.961142 | + | 0.276055i | \(0.910973\pi\) | |||||||
\(164\) | −9.53351e11 | −0.627497 | ||||||||
\(165\) | −6.58045e11 | − | 1.13089e12i | −0.418884 | − | 0.719876i | ||||
\(166\) | −1.09342e12 | −0.673274 | ||||||||
\(167\) | −7.02163e11 | − | 2.16104e12i | −0.418309 | − | 1.28742i | −0.909257 | − | 0.416235i | \(-0.863350\pi\) |
0.490948 | − | 0.871189i | \(-0.336650\pi\) | |||||||
\(168\) | −7.87275e8 | − | 5.71989e8i | −0.000453864 | − | 0.000329751i | ||||
\(169\) | 1.44970e12 | − | 1.05327e12i | 0.808912 | − | 0.587709i | ||||
\(170\) | −4.94062e10 | + | 1.52057e11i | −0.0266878 | + | 0.0821365i | ||||
\(171\) | −4.71444e11 | + | 1.45096e12i | −0.246577 | + | 0.758885i | ||||
\(172\) | −8.04521e11 | + | 5.84518e11i | −0.407503 | + | 0.296068i | ||||
\(173\) | −2.10983e12 | − | 1.53288e12i | −1.03513 | − | 0.752064i | −0.0657987 | − | 0.997833i | \(-0.520960\pi\) |
−0.969328 | + | 0.245769i | \(0.920960\pi\) | |||||||
\(174\) | −1.98627e11 | − | 6.11311e11i | −0.0944098 | − | 0.290563i | ||||
\(175\) | −5.12263e9 | −0.00235931 | ||||||||
\(176\) | 5.12440e11 | + | 2.26072e11i | 0.228730 | + | 0.100909i | ||||
\(177\) | −2.37340e12 | −1.02687 | ||||||||
\(178\) | 4.51311e11 | + | 1.38899e12i | 0.189307 | + | 0.582627i | ||||
\(179\) | 6.69800e11 | + | 4.86638e11i | 0.272429 | + | 0.197931i | 0.715608 | − | 0.698502i | \(-0.246150\pi\) |
−0.443179 | + | 0.896433i | \(0.646150\pi\) | |||||||
\(180\) | −8.96798e11 | + | 6.51562e11i | −0.353749 | + | 0.257014i | ||||
\(181\) | −2.09046e11 | + | 6.43377e11i | −0.0799852 | + | 0.246169i | −0.983051 | − | 0.183334i | \(-0.941311\pi\) |
0.903066 | + | 0.429503i | \(0.141311\pi\) | |||||||
\(182\) | 1.76356e7 | − | 5.42767e7i | 6.54632e−6 | − | 2.01475e-5i | ||||
\(183\) | −6.71157e10 | + | 4.87624e10i | −0.0241737 | + | 0.0175632i | ||||
\(184\) | 4.66294e11 | + | 3.38783e11i | 0.162990 | + | 0.118419i | ||||
\(185\) | −2.02107e12 | − | 6.22020e12i | −0.685703 | − | 2.11038i | ||||
\(186\) | −1.66566e11 | −0.0548611 | ||||||||
\(187\) | 2.53587e11 | + | 1.11875e11i | 0.0810958 | + | 0.0357769i | ||||
\(188\) | −2.14912e12 | −0.667410 | ||||||||
\(189\) | −2.65743e9 | − | 8.17872e9i | −0.000801533 | − | 0.00246686i | ||||
\(190\) | 3.38259e12 | + | 2.45759e12i | 0.991070 | + | 0.720054i | ||||
\(191\) | 4.19512e12 | − | 3.04793e12i | 1.19416 | − | 0.867605i | 0.200458 | − | 0.979702i | \(-0.435757\pi\) |
0.993697 | + | 0.112098i | \(0.0357570\pi\) | |||||||
\(192\) | −8.44113e10 | + | 2.59791e11i | −0.0233477 | + | 0.0718568i | ||||
\(193\) | −6.73054e11 | + | 2.07145e12i | −0.180919 | + | 0.556812i | −0.999854 | − | 0.0170742i | \(-0.994565\pi\) |
0.818935 | + | 0.573886i | \(0.194565\pi\) | |||||||
\(194\) | 3.26959e12 | − | 2.37550e12i | 0.854247 | − | 0.620647i | ||||
\(195\) | 3.02759e10 | + | 2.19968e10i | 0.00768966 | + | 0.00558687i | ||||
\(196\) | −6.25688e11 | − | 1.92567e12i | −0.154507 | − | 0.475525i | ||||
\(197\) | 5.22738e12 | 1.25522 | 0.627610 | − | 0.778528i | \(-0.284033\pi\) | ||||
0.627610 | + | 0.778528i | \(0.284033\pi\) | |||||||
\(198\) | 9.66483e11 | + | 1.66096e12i | 0.225702 | + | 0.387882i | ||||
\(199\) | 8.10626e11 | 0.184132 | 0.0920659 | − | 0.995753i | \(-0.470653\pi\) | ||||
0.0920659 | + | 0.995753i | \(0.470653\pi\) | |||||||
\(200\) | 4.44350e11 | + | 1.36757e12i | 0.0981884 | + | 0.302193i | ||||
\(201\) | −9.61017e11 | − | 6.98220e11i | −0.206611 | − | 0.150111i | ||||
\(202\) | −2.45502e12 | + | 1.78367e12i | −0.513596 | + | 0.373150i | ||||
\(203\) | −2.84820e9 | + | 8.76586e9i | −0.000579885 | + | 0.00178470i | ||||
\(204\) | −4.17719e10 | + | 1.28561e11i | −0.00827787 | + | 0.0254767i | ||||
\(205\) | −7.25230e12 | + | 5.26910e12i | −1.39904 | + | 1.01646i | ||||
\(206\) | 4.49253e11 | + | 3.26401e11i | 0.0843765 | + | 0.0613031i | ||||
\(207\) | 6.11092e11 | + | 1.88075e12i | 0.111756 | + | 0.343949i | ||||
\(208\) | −1.60198e10 | −0.00285304 | ||||||||
\(209\) | 4.83175e12 | − | 5.40296e12i | 0.838108 | − | 0.937189i | ||||
\(210\) | −9.15027e9 | −0.00154607 | ||||||||
\(211\) | 3.34660e12 | + | 1.02998e13i | 0.550872 | + | 1.69541i | 0.706603 | + | 0.707610i | \(0.250226\pi\) |
−0.155732 | + | 0.987799i | \(0.549774\pi\) | |||||||
\(212\) | −2.46547e12 | − | 1.79127e12i | −0.395414 | − | 0.287285i | ||||
\(213\) | 2.05420e12 | − | 1.49246e12i | 0.321037 | − | 0.233247i | ||||
\(214\) | −7.83549e11 | + | 2.41151e12i | −0.119341 | + | 0.367294i | ||||
\(215\) | −2.88953e12 | + | 8.89305e12i | −0.428959 | + | 1.32020i | ||||
\(216\) | −1.95293e12 | + | 1.41888e12i | −0.282612 | + | 0.205329i | ||||
\(217\) | 1.93231e9 | + | 1.40390e9i | 0.000272613 | + | 0.000198065i | ||||
\(218\) | −2.58771e12 | − | 7.96414e12i | −0.355962 | − | 1.09554i | ||||
\(219\) | 5.87767e12 | 0.788429 | ||||||||
\(220\) | 5.14770e12 | − | 1.11245e12i | 0.673424 | − | 0.145531i | ||||
\(221\) | −7.92758e9 | −0.00101154 | ||||||||
\(222\) | −1.70877e12 | − | 5.25905e12i | −0.212688 | − | 0.654585i | ||||
\(223\) | 5.04704e12 | + | 3.66689e12i | 0.612858 | + | 0.445267i | 0.850419 | − | 0.526105i | \(-0.176348\pi\) |
−0.237562 | + | 0.971372i | \(0.576348\pi\) | |||||||
\(224\) | 3.16890e9 | − | 2.30234e9i | 0.000375443 | − | 0.000272775i | ||||
\(225\) | −1.52457e12 | + | 4.69214e12i | −0.176256 | + | 0.542459i | ||||
\(226\) | 9.82346e11 | − | 3.02335e12i | 0.110833 | − | 0.341108i | ||||
\(227\) | −1.43110e12 | + | 1.03976e12i | −0.157590 | + | 0.114496i | −0.663786 | − | 0.747923i | \(-0.731051\pi\) |
0.506196 | + | 0.862419i | \(0.331051\pi\) | |||||||
\(228\) | 2.85991e12 | + | 2.07784e12i | 0.307405 | + | 0.223343i | ||||
\(229\) | −3.72047e12 | − | 1.14504e13i | −0.390394 | − | 1.20151i | −0.932491 | − | 0.361193i | \(-0.882369\pi\) |
0.542097 | − | 0.840316i | \(-0.317631\pi\) | |||||||
\(230\) | 5.41960e12 | 0.555219 | ||||||||
\(231\) | −1.60457e9 | + | 1.57814e10i | −0.000160506 | + | 0.00157863i | ||||
\(232\) | 2.58724e12 | 0.252728 | ||||||||
\(233\) | −4.20348e12 | − | 1.29370e13i | −0.401007 | − | 1.23417i | −0.924184 | − | 0.381948i | \(-0.875253\pi\) |
0.523177 | − | 0.852224i | \(-0.324747\pi\) | |||||||
\(234\) | −4.44668e10 | − | 3.23070e10i | −0.00414332 | − | 0.00301030i | ||||
\(235\) | −1.63487e13 | + | 1.18780e13i | −1.48803 | + | 1.08111i | ||||
\(236\) | 2.95212e12 | − | 9.08570e12i | 0.262493 | − | 0.807872i | ||||
\(237\) | −8.51349e11 | + | 2.62018e12i | −0.0739591 | + | 0.227623i | ||||
\(238\) | 1.56817e9 | − | 1.13934e9i | 0.000133113 | − | 9.67119e-5i | ||||
\(239\) | 1.16540e13 | + | 8.46714e12i | 0.966690 | + | 0.702342i | 0.954695 | − | 0.297586i | \(-0.0961816\pi\) |
0.0119955 | + | 0.999928i | \(0.496182\pi\) | |||||||
\(240\) | 7.93717e11 | + | 2.44281e12i | 0.0643434 | + | 0.198029i | ||||
\(241\) | 1.86512e13 | 1.47779 | 0.738897 | − | 0.673819i | \(-0.235347\pi\) | ||||
0.738897 | + | 0.673819i | \(0.235347\pi\) | |||||||
\(242\) | −1.01595e12 | − | 9.07327e12i | −0.0786839 | − | 0.702715i | ||||
\(243\) | −1.33490e13 | −1.01068 | ||||||||
\(244\) | −1.03188e11 | − | 3.17581e11i | −0.00763812 | − | 0.0235077i | ||||
\(245\) | −1.54027e13 | − | 1.11908e13i | −1.11477 | − | 0.809927i | ||||
\(246\) | −6.13167e12 | + | 4.45492e12i | −0.433946 | + | 0.315280i | ||||
\(247\) | −6.40642e10 | + | 1.97169e11i | −0.00443386 | + | 0.0136460i | ||||
\(248\) | 2.07181e11 | − | 6.37637e11i | 0.0140238 | − | 0.0431608i | ||||
\(249\) | −7.03254e12 | + | 5.10944e12i | −0.465603 | + | 0.338280i | ||||
\(250\) | −1.23277e12 | − | 8.95660e11i | −0.0798384 | − | 0.0580060i | ||||
\(251\) | −6.20930e12 | − | 1.91103e13i | −0.393402 | − | 1.21077i | −0.930199 | − | 0.367056i | \(-0.880366\pi\) |
0.536796 | − | 0.843712i | \(-0.319634\pi\) | |||||||
\(252\) | 1.34392e10 | 0.000833047 | ||||||||
\(253\) | 9.50366e11 | − | 9.34714e12i | 0.0576405 | − | 0.566912i | ||||
\(254\) | −2.10137e13 | −1.24715 | ||||||||
\(255\) | 3.92780e11 | + | 1.20885e12i | 0.0228128 | + | 0.0702106i | ||||
\(256\) | −8.89524e11 | − | 6.46277e11i | −0.0505636 | − | 0.0367366i | ||||
\(257\) | −1.64116e13 | + | 1.19237e13i | −0.913101 | + | 0.663407i | −0.941797 | − | 0.336182i | \(-0.890864\pi\) |
0.0286964 | + | 0.999588i | \(0.490864\pi\) | |||||||
\(258\) | −2.44304e12 | + | 7.51890e12i | −0.133052 | + | 0.409492i | ||||
\(259\) | −2.45028e10 | + | 7.54120e10i | −0.00130637 | + | 0.00402061i | ||||
\(260\) | −1.21865e11 | + | 8.85402e10i | −0.00636101 | + | 0.00462154i | ||||
\(261\) | 7.18153e12 | + | 5.21768e12i | 0.367024 | + | 0.266658i | ||||
\(262\) | 6.97382e11 | + | 2.14632e12i | 0.0348990 | + | 0.107408i | ||||
\(263\) | 3.10370e13 | 1.52098 | 0.760489 | − | 0.649350i | \(-0.224959\pi\) | ||||
0.760489 | + | 0.649350i | \(0.224959\pi\) | |||||||
\(264\) | 4.35228e12 | − | 9.40553e11i | 0.208879 | − | 0.0451400i | ||||
\(265\) | −2.86554e13 | −1.34696 | ||||||||
\(266\) | −1.56642e10 | − | 4.82096e10i | −0.000721208 | − | 0.00221965i | ||||
\(267\) | 9.39334e12 | + | 6.82466e12i | 0.423651 | + | 0.307800i | ||||
\(268\) | 3.86823e12 | − | 2.81044e12i | 0.170912 | − | 0.124174i | ||||
\(269\) | 2.05434e12 | − | 6.32260e12i | 0.0889271 | − | 0.273689i | −0.896696 | − | 0.442646i | \(-0.854040\pi\) |
0.985623 | + | 0.168957i | \(0.0540398\pi\) | |||||||
\(270\) | −7.01416e12 | + | 2.15874e13i | −0.297492 | + | 0.915586i | ||||
\(271\) | −1.37154e13 | + | 9.96485e12i | −0.570005 | + | 0.414133i | −0.835107 | − | 0.550088i | \(-0.814594\pi\) |
0.265102 | + | 0.964220i | \(0.414594\pi\) | |||||||
\(272\) | −4.40191e11 | − | 3.19818e11i | −0.0179272 | − | 0.0130249i | ||||
\(273\) | −1.40203e8 | − | 4.31501e8i | −5.59581e−6 | − | 1.72221e-5i | ||||
\(274\) | 3.27345e13 | 1.28050 | ||||||||
\(275\) | 1.56250e13 | − | 1.74722e13i | 0.599089 | − | 0.669913i | ||||
\(276\) | 4.58216e12 | 0.172215 | ||||||||
\(277\) | 3.07456e11 | + | 9.46253e11i | 0.0113278 | + | 0.0348633i | 0.956561 | − | 0.291533i | \(-0.0941655\pi\) |
−0.945233 | + | 0.326397i | \(0.894165\pi\) | |||||||
\(278\) | −3.52044e12 | − | 2.55775e12i | −0.127160 | − | 0.0923871i | ||||
\(279\) | 1.86100e12 | − | 1.35210e12i | 0.0659058 | − | 0.0478834i | ||||
\(280\) | 1.13815e10 | − | 3.50285e10i | 0.000395211 | − | 0.00121633i | ||||
\(281\) | −1.85018e12 | + | 5.69427e12i | −0.0629984 | + | 0.193889i | −0.977602 | − | 0.210463i | \(-0.932503\pi\) |
0.914603 | + | 0.404352i | \(0.132503\pi\) | |||||||
\(282\) | −1.38225e13 | + | 1.00426e13i | −0.461548 | + | 0.335334i | ||||
\(283\) | 2.16840e13 | + | 1.57544e13i | 0.710092 | + | 0.515912i | 0.883203 | − | 0.468990i | \(-0.155382\pi\) |
−0.173111 | + | 0.984902i | \(0.555382\pi\) | |||||||
\(284\) | 3.15827e12 | + | 9.72016e12i | 0.101437 | + | 0.312192i | ||||
\(285\) | 3.32399e13 | 1.04716 | ||||||||
\(286\) | 1.31335e11 | + | 2.25706e11i | 0.00405850 | + | 0.00697476i | ||||
\(287\) | 1.08681e11 | 0.00329460 | ||||||||
\(288\) | −1.16575e12 | − | 3.58780e12i | −0.0346693 | − | 0.106701i | ||||
\(289\) | 2.75087e13 | + | 1.99862e13i | 0.802661 | + | 0.583167i | ||||
\(290\) | 1.96816e13 | − | 1.42995e13i | 0.563470 | − | 0.409385i | ||||
\(291\) | 9.92856e12 | − | 3.05570e13i | 0.278917 | − | 0.858418i | ||||
\(292\) | −7.31088e12 | + | 2.25006e13i | −0.201541 | + | 0.620280i | ||||
\(293\) | 9.54855e12 | − | 6.93743e12i | 0.258324 | − | 0.187684i | −0.451084 | − | 0.892482i | \(-0.648962\pi\) |
0.709408 | + | 0.704798i | \(0.248962\pi\) | |||||||
\(294\) | −1.30227e13 | − | 9.46155e12i | −0.345773 | − | 0.251219i | ||||
\(295\) | −2.77587e13 | − | 8.54326e13i | −0.723400 | − | 2.22640i | ||||
\(296\) | 2.22578e13 | 0.569349 | ||||||||
\(297\) | 3.60016e13 | + | 1.58828e13i | 0.903984 | + | 0.398810i | ||||
\(298\) | −5.35997e12 | −0.132121 | ||||||||
\(299\) | 8.30408e10 | + | 2.55573e11i | 0.00200955 | + | 0.00618477i | ||||
\(300\) | 9.24844e12 | + | 6.71939e12i | 0.219736 | + | 0.159648i | ||||
\(301\) | 9.17145e10 | − | 6.66345e10i | 0.00213955 | − | 0.00155447i | ||||
\(302\) | −1.39992e13 | + | 4.30850e13i | −0.320674 | + | 0.986933i | ||||
\(303\) | −7.45500e12 | + | 2.29441e13i | −0.167692 | + | 0.516104i | ||||
\(304\) | −1.15115e13 | + | 8.36363e12i | −0.254290 | + | 0.184752i | ||||
\(305\) | −2.54022e12 | − | 1.84558e12i | −0.0551089 | − | 0.0400390i | ||||
\(306\) | −5.76883e11 | − | 1.77546e12i | −0.0122919 | − | 0.0378307i | ||||
\(307\) | −7.09311e13 | −1.48448 | −0.742242 | − | 0.670132i | \(-0.766238\pi\) | ||||
−0.742242 | + | 0.670132i | \(0.766238\pi\) | |||||||
\(308\) | −5.84176e10 | − | 2.57720e10i | −0.00120092 | − | 0.000529809i | ||||
\(309\) | 4.41470e12 | 0.0891518 | ||||||||
\(310\) | −1.94812e12 | − | 5.99569e12i | −0.0386479 | − | 0.118946i | ||||
\(311\) | 5.16825e13 | + | 3.75495e13i | 1.00731 | + | 0.731851i | 0.963642 | − | 0.267196i | \(-0.0860970\pi\) |
0.0436636 | + | 0.999046i | \(0.486097\pi\) | |||||||
\(312\) | −1.03034e11 | + | 7.48589e10i | −0.00197302 | + | 0.00143349i | ||||
\(313\) | −1.62204e13 | + | 4.99213e13i | −0.305189 | + | 0.939274i | 0.674418 | + | 0.738349i | \(0.264394\pi\) |
−0.979607 | + | 0.200924i | \(0.935606\pi\) | |||||||
\(314\) | −9.13044e12 | + | 2.81006e13i | −0.168802 | + | 0.519520i | ||||
\(315\) | 1.02234e11 | − | 7.42773e10i | 0.00185732 | − | 0.00134942i | ||||
\(316\) | −8.97149e12 | − | 6.51817e12i | −0.160172 | − | 0.116372i | ||||
\(317\) | −2.77040e13 | − | 8.52642e13i | −0.486090 | − | 1.49603i | −0.830395 | − | 0.557174i | \(-0.811885\pi\) |
0.344305 | − | 0.938858i | \(-0.388115\pi\) | |||||||
\(318\) | −2.42276e13 | −0.417792 | ||||||||
\(319\) | −2.12109e13 | − | 3.64522e13i | −0.359510 | − | 0.617838i | ||||
\(320\) | −1.03387e13 | −0.172242 | ||||||||
\(321\) | 6.22923e12 | + | 1.91716e13i | 0.102013 | + | 0.313964i | ||||
\(322\) | −5.31570e10 | − | 3.86208e10i | −0.000855763 | − | 0.000621748i | ||||
\(323\) | −5.69663e12 | + | 4.13884e12i | −0.0901579 | + | 0.0655036i | ||||
\(324\) | 3.71809e11 | − | 1.14431e12i | 0.00578525 | − | 0.0178052i | ||||
\(325\) | −2.07172e11 | + | 6.37611e11i | −0.00316937 | + | 0.00975432i | ||||
\(326\) | 2.62150e12 | − | 1.90463e12i | 0.0394323 | − | 0.0286493i | ||||
\(327\) | −5.38590e13 | − | 3.91309e13i | −0.796610 | − | 0.578771i | ||||
\(328\) | −9.42726e12 | − | 2.90141e13i | −0.137113 | − | 0.421991i | ||||
\(329\) | 2.44998e11 | 0.00350416 | ||||||||
\(330\) | 2.79101e13 | − | 3.12097e13i | 0.392586 | − | 0.438998i | ||||
\(331\) | −1.14573e14 | −1.58499 | −0.792497 | − | 0.609876i | \(-0.791219\pi\) | ||||
−0.792497 | + | 0.609876i | \(0.791219\pi\) | |||||||
\(332\) | −1.08123e13 | − | 3.32769e13i | −0.147116 | − | 0.452776i | ||||
\(333\) | 6.17821e13 | + | 4.48873e13i | 0.826836 | + | 0.600731i | ||||
\(334\) | 5.88252e13 | − | 4.27390e13i | 0.774386 | − | 0.562625i | ||||
\(335\) | 1.38932e13 | − | 4.27589e13i | 0.179910 | − | 0.553707i | ||||
\(336\) | 9.62279e9 | − | 2.96159e10i | 0.000122584 | − | 0.000377276i | ||||
\(337\) | −9.15505e13 | + | 6.65154e13i | −1.14735 | + | 0.833600i | −0.988126 | − | 0.153643i | \(-0.950900\pi\) |
−0.159225 | + | 0.987242i | \(0.550900\pi\) | |||||||
\(338\) | 4.63904e13 | + | 3.37046e13i | 0.571987 | + | 0.415573i | ||||
\(339\) | −7.80967e12 | − | 2.40357e13i | −0.0947402 | − | 0.291580i | ||||
\(340\) | −5.11622e12 | −0.0610682 | ||||||||
\(341\) | −1.06823e13 | + | 2.30851e12i | −0.125463 | + | 0.0271134i | ||||
\(342\) | −4.88200e13 | −0.564228 | ||||||||
\(343\) | 1.42656e11 | + | 4.39050e11i | 0.00162245 | + | 0.00499340i | ||||
\(344\) | −2.57447e13 | − | 1.87046e13i | −0.288148 | − | 0.209352i | ||||
\(345\) | 3.48573e13 | − | 2.53253e13i | 0.383962 | − | 0.278965i | ||||
\(346\) | 2.57883e13 | − | 7.93681e13i | 0.279578 | − | 0.860453i | ||||
\(347\) | −3.21925e13 | + | 9.90782e13i | −0.343512 | + | 1.05722i | 0.618863 | + | 0.785499i | \(0.287594\pi\) |
−0.962375 | + | 0.271723i | \(0.912406\pi\) | |||||||
\(348\) | 1.66404e13 | − | 1.20899e13i | 0.174774 | − | 0.126981i | ||||
\(349\) | 5.06787e13 | + | 3.68202e13i | 0.523945 | + | 0.380668i | 0.818088 | − | 0.575093i | \(-0.195034\pi\) |
−0.294143 | + | 0.955761i | \(0.595034\pi\) | |||||||
\(350\) | −5.06554e10 | − | 1.55901e11i | −0.000515527 | − | 0.00158663i | ||||
\(351\) | −1.12547e12 | −0.0112758 | ||||||||
\(352\) | −1.81296e12 | + | 1.78310e13i | −0.0178815 | + | 0.175870i | ||||
\(353\) | 2.43809e13 | 0.236750 | 0.118375 | − | 0.992969i | \(-0.462232\pi\) | ||||
0.118375 | + | 0.992969i | \(0.462232\pi\) | |||||||
\(354\) | −2.34694e13 | − | 7.22315e13i | −0.224380 | − | 0.690571i | ||||
\(355\) | 7.77481e13 | + | 5.64873e13i | 0.731870 | + | 0.531734i | ||||
\(356\) | −3.78096e13 | + | 2.74703e13i | −0.350450 | + | 0.254617i | ||||
\(357\) | 4.76195e9 | − | 1.46558e10i | 4.34620e−5 | − | 0.000133762i | ||||
\(358\) | −8.18691e12 | + | 2.51967e13i | −0.0735806 | + | 0.226458i | ||||
\(359\) | 4.99120e13 | − | 3.62632e13i | 0.441759 | − | 0.320956i | −0.344575 | − | 0.938759i | \(-0.611977\pi\) |
0.786333 | + | 0.617802i | \(0.211977\pi\) | |||||||
\(360\) | −2.86975e13 | − | 2.08500e13i | −0.250139 | − | 0.181736i | ||||
\(361\) | 2.09055e13 | + | 6.43405e13i | 0.179461 | + | 0.552325i | ||||
\(362\) | −2.16476e13 | −0.183026 | ||||||||
\(363\) | −4.89328e13 | − | 5.36092e13i | −0.407487 | − | 0.446429i | ||||
\(364\) | 1.82624e9 | 1.49796e−5 | ||||||||
\(365\) | 6.87440e13 | + | 2.11572e14i | 0.555423 | + | 1.70942i | ||||
\(366\) | −2.14770e12 | − | 1.56040e12i | −0.0170934 | − | 0.0124191i | ||||
\(367\) | 3.82930e13 | − | 2.78215e13i | 0.300232 | − | 0.218131i | −0.427462 | − | 0.904033i | \(-0.640592\pi\) |
0.727694 | + | 0.685902i | \(0.240592\pi\) | |||||||
\(368\) | −5.69947e12 | + | 1.75412e13i | −0.0440222 | + | 0.135486i | ||||
\(369\) | 3.23450e13 | − | 9.95477e13i | 0.246129 | − | 0.757506i | ||||
\(370\) | 1.69319e14 | − | 1.23017e14i | 1.26939 | − | 0.922269i | ||||
\(371\) | 2.81060e11 | + | 2.04202e11i | 0.00207608 | + | 0.00150836i | ||||
\(372\) | −1.64709e12 | − | 5.06923e12i | −0.0119876 | − | 0.0368940i | ||||
\(373\) | 1.42084e14 | 1.01894 | 0.509469 | − | 0.860489i | \(-0.329842\pi\) | ||||
0.509469 | + | 0.860489i | \(0.329842\pi\) | |||||||
\(374\) | −8.97165e11 | + | 8.82390e12i | −0.00633984 | + | 0.0623543i | ||||
\(375\) | −1.21141e13 | −0.0843569 | ||||||||
\(376\) | −2.12517e13 | − | 6.54060e13i | −0.145834 | − | 0.448832i | ||||
\(377\) | 9.75892e11 | + | 7.09027e11i | 0.00659970 | + | 0.00479496i | ||||
\(378\) | 2.22631e11 | − | 1.61751e11i | 0.00148382 | − | 0.00107806i | ||||
\(379\) | 6.89771e13 | − | 2.12290e14i | 0.453095 | − | 1.39448i | −0.420262 | − | 0.907403i | \(-0.638062\pi\) |
0.873357 | − | 0.487081i | \(-0.161938\pi\) | |||||||
\(380\) | −4.13451e13 | + | 1.27247e14i | −0.267679 | + | 0.823830i | ||||
\(381\) | −1.35154e14 | + | 9.81951e13i | −0.862465 | + | 0.626617i | ||||
\(382\) | 1.34244e14 | + | 9.75338e13i | 0.844395 | + | 0.613489i | ||||
\(383\) | 8.26806e13 | + | 2.54465e14i | 0.512637 | + | 1.57774i | 0.787540 | + | 0.616264i | \(0.211354\pi\) |
−0.274903 | + | 0.961472i | \(0.588646\pi\) | |||||||
\(384\) | −8.74114e12 | −0.0534252 | ||||||||
\(385\) | −5.86832e11 | + | 1.26818e11i | −0.00353574 | + | 0.000764094i | ||||
\(386\) | −6.96975e13 | −0.413988 | ||||||||
\(387\) | −3.37391e13 | − | 1.03838e14i | −0.197571 | − | 0.608061i | ||||
\(388\) | 1.04627e14 | + | 7.60159e13i | 0.604044 | + | 0.438864i | ||||
\(389\) | −2.24026e14 | + | 1.62764e14i | −1.27519 | + | 0.926481i | −0.999397 | − | 0.0347351i | \(-0.988941\pi\) |
−0.275795 | + | 0.961216i | \(0.588941\pi\) | |||||||
\(390\) | −3.70060e11 | + | 1.13893e12i | −0.00207691 | + | 0.00639206i | ||||
\(391\) | −2.82045e12 | + | 8.68046e12i | −0.0156080 | + | 0.0480364i | ||||
\(392\) | 5.24183e13 | − | 3.80841e13i | 0.286029 | − | 0.207812i | ||||
\(393\) | 1.45149e13 | + | 1.05457e13i | 0.0781007 | + | 0.0567435i | ||||
\(394\) | 5.16911e13 | + | 1.59089e14i | 0.274275 | + | 0.844133i | ||||
\(395\) | −1.04273e14 | −0.545617 | ||||||||
\(396\) | −4.09921e13 | + | 4.58382e13i | −0.211532 | + | 0.236540i | ||||
\(397\) | 1.54240e14 | 0.784961 | 0.392480 | − | 0.919760i | \(-0.371617\pi\) | ||||
0.392480 | + | 0.919760i | \(0.371617\pi\) | |||||||
\(398\) | 8.01591e12 | + | 2.46704e13i | 0.0402343 | + | 0.123828i | ||||
\(399\) | −3.26026e11 | − | 2.36872e11i | −0.00161399 | − | 0.00117264i | ||||
\(400\) | −3.72263e13 | + | 2.70465e13i | −0.181769 | + | 0.132063i | ||||
\(401\) | −2.05540e13 | + | 6.32586e13i | −0.0989924 | + | 0.304667i | −0.988274 | − | 0.152694i | \(-0.951205\pi\) |
0.889281 | + | 0.457361i | \(0.151205\pi\) | |||||||
\(402\) | 1.17464e13 | − | 3.61518e13i | 0.0558036 | − | 0.171746i | ||||
\(403\) | 2.52890e11 | − | 1.83735e11i | 0.00118510 | − | 0.000861024i | ||||
\(404\) | −7.85605e13 | − | 5.70776e13i | −0.363167 | − | 0.263857i | ||||
\(405\) | −3.49611e12 | − | 1.07599e13i | −0.0159434 | − | 0.0490689i | ||||
\(406\) | −2.94943e11 | −0.00132692 | ||||||||
\(407\) | −1.82476e14 | − | 3.13595e14i | −0.809909 | − | 1.39187i | ||||
\(408\) | −4.32566e12 | −0.0189418 | ||||||||
\(409\) | −1.02968e14 | − | 3.16903e14i | −0.444860 | − | 1.36914i | −0.882637 | − | 0.470056i | \(-0.844234\pi\) |
0.437777 | − | 0.899084i | \(-0.355766\pi\) | |||||||
\(410\) | −2.32074e14 | − | 1.68611e14i | −0.989269 | − | 0.718746i | ||||
\(411\) | 2.10539e14 | − | 1.52965e14i | 0.885527 | − | 0.643373i | ||||
\(412\) | −5.49118e12 | + | 1.69001e13i | −0.0227893 | + | 0.0701383i | ||||
\(413\) | −3.36539e11 | + | 1.03576e12i | −0.00137819 | + | 0.00424164i | ||||
\(414\) | −5.11955e13 | + | 3.71957e13i | −0.206885 | + | 0.150311i | ||||
\(415\) | −2.66170e14 | − | 1.93384e14i | −1.06144 | − | 0.771180i | ||||
\(416\) | −1.58412e11 | − | 4.87543e11i | −0.000623413 | − | 0.00191867i | ||||
\(417\) | −3.45945e13 | −0.134357 | ||||||||
\(418\) | 2.12212e14 | + | 9.36211e13i | 0.813392 | + | 0.358843i | ||||
\(419\) | 4.64240e14 | 1.75616 | 0.878082 | − | 0.478510i | \(-0.158823\pi\) | ||||
0.878082 | + | 0.478510i | \(0.158823\pi\) | |||||||
\(420\) | −9.04829e10 | − | 2.78478e11i | −0.000337828 | − | 0.00103973i | ||||
\(421\) | −2.38218e14 | − | 1.73076e14i | −0.877857 | − | 0.637800i | 0.0548270 | − | 0.998496i | \(-0.482539\pi\) |
−0.932684 | + | 0.360696i | \(0.882539\pi\) | |||||||
\(422\) | −2.80369e14 | + | 2.03700e14i | −1.01979 | + | 0.740921i | ||||
\(423\) | 7.29147e13 | − | 2.24408e14i | 0.261784 | − | 0.805689i | ||||
\(424\) | 3.01352e13 | − | 9.27465e13i | 0.106798 | − | 0.328689i | ||||
\(425\) | −1.84219e13 | + | 1.33843e13i | −0.0644459 | + | 0.0468227i | ||||
\(426\) | 6.57344e13 | + | 4.77588e13i | 0.227007 | + | 0.164931i | ||||
\(427\) | 1.17634e10 | + | 3.62039e10i | 4.01031e−5 | + | 0.000123425i | ||||
\(428\) | −8.11397e13 | −0.273082 | ||||||||
\(429\) | 1.89941e12 | + | 8.37959e11i | 0.00631107 | + | 0.00278424i | ||||
\(430\) | −2.99223e14 | −0.981563 | ||||||||
\(431\) | 1.65430e14 | + | 5.09141e14i | 0.535784 | + | 1.64897i | 0.741950 | + | 0.670455i | \(0.233901\pi\) |
−0.206167 | + | 0.978517i | \(0.566099\pi\) | |||||||
\(432\) | −6.24936e13 | − | 4.54043e13i | −0.199837 | − | 0.145190i | ||||
\(433\) | 1.67636e13 | − | 1.21795e13i | 0.0529278 | − | 0.0384543i | −0.561007 | − | 0.827811i | \(-0.689586\pi\) |
0.613935 | + | 0.789357i | \(0.289586\pi\) | |||||||
\(434\) | −2.36184e10 | + | 7.26900e10i | −7.36304e−5 | + | 0.000226611i | ||||
\(435\) | 5.97658e13 | − | 1.83940e14i | 0.183976 | − | 0.566221i | ||||
\(436\) | 2.16790e14 | − | 1.57507e14i | 0.658968 | − | 0.478768i | ||||
\(437\) | 1.93102e14 | + | 1.40297e14i | 0.579613 | + | 0.421114i | ||||
\(438\) | 5.81216e13 | + | 1.78880e14i | 0.172278 | + | 0.530217i | ||||
\(439\) | −5.65979e14 | −1.65671 | −0.828354 | − | 0.560206i | \(-0.810722\pi\) | ||||
−0.828354 | + | 0.560206i | \(0.810722\pi\) | |||||||
\(440\) | 8.47593e13 | + | 1.45664e14i | 0.245018 | + | 0.421077i | ||||
\(441\) | 2.22304e14 | 0.634651 | ||||||||
\(442\) | −7.83922e10 | − | 2.41266e11i | −0.000221030 | − | 0.000680259i | ||||
\(443\) | −1.73459e14 | − | 1.26025e14i | −0.483033 | − | 0.350944i | 0.319466 | − | 0.947598i | \(-0.396497\pi\) |
−0.802499 | + | 0.596654i | \(0.796497\pi\) | |||||||
\(444\) | 1.43156e14 | − | 1.04009e14i | 0.393734 | − | 0.286064i | ||||
\(445\) | −1.35797e14 | + | 4.17941e14i | −0.368902 | + | 1.13536i | ||||
\(446\) | −6.16895e13 | + | 1.89861e14i | −0.165527 | + | 0.509440i | ||||
\(447\) | −3.44737e13 | + | 2.50466e13i | −0.0913686 | + | 0.0663832i | ||||
\(448\) | 1.01405e11 | + | 7.36748e10i | 0.000265478 | + | 0.000192881i | ||||
\(449\) | −1.84276e14 | − | 5.67142e14i | −0.476555 | − | 1.46669i | −0.843849 | − | 0.536581i | \(-0.819716\pi\) |
0.367294 | − | 0.930105i | \(-0.380284\pi\) | |||||||
\(450\) | −1.57875e14 | −0.403316 | ||||||||
\(451\) | −3.31498e14 | + | 3.70688e14i | −0.836585 | + | 0.935487i | ||||
\(452\) | 1.01726e14 | 0.253612 | ||||||||
\(453\) | 1.11294e14 | + | 3.42526e14i | 0.274113 | + | 0.843634i | ||||
\(454\) | −4.57952e13 | − | 3.32722e13i | −0.111433 | − | 0.0809606i | ||||
\(455\) | 1.38925e10 | − | 1.00935e10i | 3.33978e−5 | − | 2.42649e-5i | ||||
\(456\) | −3.49564e13 | + | 1.07585e14i | −0.0830272 | + | 0.255531i | ||||
\(457\) | 2.35351e14 | − | 7.24337e14i | 0.552303 | − | 1.69982i | −0.150657 | − | 0.988586i | \(-0.548139\pi\) |
0.702960 | − | 0.711229i | \(-0.251861\pi\) | |||||||
\(458\) | 3.11690e14 | − | 2.26456e14i | 0.722709 | − | 0.525079i | ||||
\(459\) | −3.09257e13 | − | 2.24688e13i | −0.0708517 | − | 0.0514767i | ||||
\(460\) | 5.35920e13 | + | 1.64939e14i | 0.121320 | + | 0.373384i | ||||
\(461\) | 2.43266e14 | 0.544161 | 0.272080 | − | 0.962275i | \(-0.412288\pi\) | ||||
0.272080 | + | 0.962275i | \(0.412288\pi\) | |||||||
\(462\) | −4.96155e11 | + | 1.07222e11i | −0.00109670 | + | 0.000237003i | ||||
\(463\) | 1.21135e14 | 0.264591 | 0.132295 | − | 0.991210i | \(-0.457765\pi\) | ||||
0.132295 | + | 0.991210i | \(0.457765\pi\) | |||||||
\(464\) | 2.55841e13 | + | 7.87397e13i | 0.0552231 | + | 0.169959i | ||||
\(465\) | −4.05470e13 | − | 2.94591e13i | −0.0864903 | − | 0.0628389i | ||||
\(466\) | 3.52156e14 | − | 2.55856e14i | 0.742356 | − | 0.539353i | ||||
\(467\) | −1.18637e14 | + | 3.65126e14i | −0.247159 | + | 0.760676i | 0.748115 | + | 0.663569i | \(0.230959\pi\) |
−0.995274 | + | 0.0971074i | \(0.969041\pi\) | |||||||
\(468\) | 5.43514e11 | − | 1.67276e12i | 0.00111907 | − | 0.00344415i | ||||
\(469\) | −4.40974e11 | + | 3.20387e11i | −0.000897352 | + | 0.000651964i | ||||
\(470\) | −5.23159e14 | − | 3.80097e14i | −1.05219 | − | 0.764463i | ||||
\(471\) | 7.25872e13 | + | 2.23400e14i | 0.144293 | + | 0.444088i | ||||
\(472\) | 3.05705e14 | 0.600649 | ||||||||
\(473\) | −5.24708e13 | + | 5.16067e14i | −0.101902 | + | 1.00224i | ||||
\(474\) | −8.81608e13 | −0.169237 | ||||||||
\(475\) | 1.84014e14 | + | 5.66337e14i | 0.349170 | + | 1.07463i | ||||
\(476\) | 5.01813e10 | + | 3.64589e10i | 9.41248e−5 | + | 6.83856e-5i | ||||
\(477\) | 2.70689e14 | − | 1.96667e14i | 0.501903 | − | 0.364654i | ||||
\(478\) | −1.42446e14 | + | 4.38404e14i | −0.261094 | + | 0.803565i | ||||
\(479\) | 4.44233e13 | − | 1.36721e14i | 0.0804944 | − | 0.247736i | −0.902708 | − | 0.430253i | \(-0.858424\pi\) |
0.983203 | + | 0.182517i | \(0.0584243\pi\) | |||||||
\(480\) | −6.64953e13 | + | 4.83117e13i | −0.119114 | + | 0.0865416i | ||||
\(481\) | 8.39552e12 | + | 6.09970e12i | 0.0148679 | + | 0.0108022i | ||||
\(482\) | 1.84434e14 | + | 5.67628e14i | 0.322910 | + | 0.993814i | ||||
\(483\) | −5.22362e11 | −0.000904195 | ||||||||
\(484\) | 2.66088e14 | − | 1.20641e14i | 0.455382 | − | 0.206464i | ||||
\(485\) | 1.21605e15 | 2.05765 | ||||||||
\(486\) | −1.32002e14 | − | 4.06260e14i | −0.220841 | − | 0.679680i | ||||
\(487\) | 1.66755e14 | + | 1.21155e14i | 0.275848 | + | 0.200416i | 0.717105 | − | 0.696966i | \(-0.245467\pi\) |
−0.441256 | + | 0.897381i | \(0.645467\pi\) | |||||||
\(488\) | 8.64482e12 | − | 6.28083e12i | 0.0141399 | − | 0.0102733i | ||||
\(489\) | 7.96053e12 | − | 2.45000e13i | 0.0128749 | − | 0.0396248i | ||||
\(490\) | 1.88266e14 | − | 5.79424e14i | 0.301089 | − | 0.926656i | ||||
\(491\) | 1.09006e14 | − | 7.91972e13i | 0.172385 | − | 0.125245i | −0.498247 | − | 0.867035i | \(-0.666023\pi\) |
0.670632 | + | 0.741790i | \(0.266023\pi\) | |||||||
\(492\) | −1.96213e14 | − | 1.42557e14i | −0.306846 | − | 0.222937i | ||||
\(493\) | 1.26606e13 | + | 3.89653e13i | 0.0195792 | + | 0.0602587i | ||||
\(494\) | −6.63411e12 | −0.0101458 | ||||||||
\(495\) | −5.84891e13 | + | 5.75259e14i | −0.0884600 | + | 0.870031i | ||||
\(496\) | 2.14545e13 | 0.0320899 | ||||||||
\(497\) | −3.60039e11 | − | 1.10809e12i | −0.000532586 | − | 0.00163913i | ||||
\(498\) | −2.25041e14 | − | 1.63502e14i | −0.329231 | − | 0.239200i | ||||
\(499\) | 1.04042e14 | − | 7.55909e13i | 0.150541 | − | 0.109375i | −0.509965 | − | 0.860195i | \(-0.670342\pi\) |
0.660506 | + | 0.750821i | \(0.270342\pi\) | |||||||
\(500\) | 1.50680e13 | − | 4.63746e13i | 0.0215636 | − | 0.0663660i | ||||
\(501\) | 1.78631e14 | − | 5.49769e14i | 0.252842 | − | 0.778167i | ||||
\(502\) | 5.20197e14 | − | 3.77945e14i | 0.728278 | − | 0.529125i | ||||
\(503\) | 2.70536e14 | + | 1.96556e14i | 0.374629 | + | 0.272184i | 0.759128 | − | 0.650941i | \(-0.225626\pi\) |
−0.384499 | + | 0.923126i | \(0.625626\pi\) | |||||||
\(504\) | 1.32894e11 | + | 4.09005e11i | 0.000182027 | + | 0.000560223i | ||||
\(505\) | −9.13086e14 | −1.23711 | ||||||||
\(506\) | 2.93867e14 | − | 6.35064e13i | 0.393843 | − | 0.0851117i | ||||
\(507\) | 4.55867e14 | 0.604359 | ||||||||
\(508\) | −2.07795e14 | − | 6.39527e14i | −0.272511 | − | 0.838704i | ||||
\(509\) | −1.19546e15 | − | 8.68556e14i | −1.55092 | − | 1.12681i | −0.942992 | − | 0.332815i | \(-0.892002\pi\) |
−0.607926 | − | 0.793993i | \(-0.707998\pi\) | |||||||
\(510\) | −3.29060e13 | + | 2.39076e13i | −0.0422317 | + | 0.0306831i | ||||
\(511\) | 8.33432e11 | − | 2.56504e12i | 0.00105817 | − | 0.00325671i | ||||
\(512\) | 1.08726e13 | − | 3.34623e13i | 0.0136568 | − | 0.0420312i | ||||
\(513\) | −8.08746e14 | + | 5.87588e14i | −1.00500 | + | 0.730176i | ||||
\(514\) | −5.25171e14 | − | 3.81559e14i | −0.645660 | − | 0.469099i | ||||
\(515\) | 5.16334e13 | + | 1.58911e14i | 0.0628045 | + | 0.193293i | ||||
\(516\) | −2.52987e14 | −0.304456 | ||||||||
\(517\) | −7.47290e14 | + | 8.35635e14i | −0.889798 | + | 0.994990i | ||||
\(518\) | −2.53737e12 | −0.00298930 | ||||||||
\(519\) | −2.05017e14 | − | 6.30978e14i | −0.238985 | − | 0.735519i | ||||
\(520\) | −3.89968e12 | − | 2.83329e12i | −0.00449791 | − | 0.00326792i | ||||
\(521\) | −9.17169e14 | + | 6.66363e14i | −1.04675 | + | 0.760507i | −0.971591 | − | 0.236665i | \(-0.923946\pi\) |
−0.0751565 | + | 0.997172i | \(0.523946\pi\) | |||||||
\(522\) | −8.77792e13 | + | 2.70157e14i | −0.0991297 | + | 0.305090i | ||||
\(523\) | 2.71586e13 | − | 8.35854e13i | 0.0303492 | − | 0.0934053i | −0.934735 | − | 0.355347i | \(-0.884363\pi\) |
0.965084 | + | 0.261942i | \(0.0843628\pi\) | |||||||
\(524\) | −5.84246e13 | + | 4.24480e13i | −0.0646061 | + | 0.0469391i | ||||
\(525\) | −1.05431e12 | − | 7.66003e11i | −0.00115370 | − | 0.000838213i | ||||
\(526\) | 3.06911e14 | + | 9.44574e14i | 0.332346 | + | 1.02286i | ||||
\(527\) | 1.06170e13 | 0.0113774 | ||||||||
\(528\) | 7.16623e13 | + | 1.23156e14i | 0.0759983 | + | 0.130607i | ||||
\(529\) | −6.43421e14 | −0.675288 | ||||||||
\(530\) | −2.83360e14 | − | 8.72093e14i | −0.294321 | − | 0.905827i | ||||
\(531\) | 8.48558e14 | + | 6.16513e14i | 0.872291 | + | 0.633757i | ||||
\(532\) | 1.31230e12 | − | 9.53445e11i | 0.00133512 | − | 0.000970022i | ||||
\(533\) | 4.39533e12 | − | 1.35274e13i | 0.00442581 | − | 0.0136212i | ||||
\(534\) | −1.14814e14 | + | 3.53361e14i | −0.114424 | + | 0.352161i | ||||
\(535\) | −6.17243e14 | + | 4.48453e14i | −0.608850 | + | 0.442356i | ||||
\(536\) | 1.23783e14 | + | 8.99340e13i | 0.120853 | + | 0.0878046i | ||||
\(537\) | 6.50861e13 | + | 2.00314e14i | 0.0628969 | + | 0.193577i | ||||
\(538\) | 2.12735e14 | 0.203487 | ||||||||
\(539\) | −9.66315e14 | − | 4.26308e14i | −0.914914 | − | 0.403631i | ||||
\(540\) | −7.26346e14 | −0.680734 | ||||||||
\(541\) | −3.37762e14 | − | 1.03953e15i | −0.313347 | − | 0.964384i | −0.976429 | − | 0.215837i | \(-0.930752\pi\) |
0.663082 | − | 0.748547i | \(-0.269248\pi\) | |||||||
\(542\) | −4.38894e14 | − | 3.18875e14i | −0.403054 | − | 0.292836i | ||||
\(543\) | −1.39231e14 | + | 1.01157e14i | −0.126572 | + | 0.0919596i | ||||
\(544\) | 5.38042e12 | − | 1.65592e13i | 0.00484197 | − | 0.0149021i | ||||
\(545\) | 7.78628e14 | − | 2.39637e15i | 0.693664 | − | 2.13488i | ||||
\(546\) | 1.17458e10 | − | 8.53383e9i | 1.03591e−5 | − | 7.52635e-6i | ||||
\(547\) | 6.51856e14 | + | 4.73601e14i | 0.569143 | + | 0.413506i | 0.834794 | − | 0.550563i | \(-0.185587\pi\) |
−0.265651 | + | 0.964069i | \(0.585587\pi\) | |||||||
\(548\) | 3.23697e14 | + | 9.96236e14i | 0.279798 | + | 0.861131i | ||||
\(549\) | 3.66623e13 | 0.0313742 | ||||||||
\(550\) | 6.86255e14 | + | 3.02754e14i | 0.581421 | + | 0.256505i | ||||
\(551\) | 1.07143e15 | 0.898731 | ||||||||
\(552\) | 4.53109e13 | + | 1.39453e14i | 0.0376303 | + | 0.115814i | ||||
\(553\) | 1.02274e12 | + | 7.43064e11i | 0.000840964 | + | 0.000610996i | ||||
\(554\) | −2.57578e13 | + | 1.87141e13i | −0.0209703 | + | 0.0152358i | ||||
\(555\) | 5.14161e14 | − | 1.58242e15i | 0.414465 | − | 1.27559i | ||||
\(556\) | 4.30300e13 | − | 1.32433e14i | 0.0343447 | − | 0.105702i | ||||
\(557\) | 1.15605e15 | − | 8.39916e14i | 0.913632 | − | 0.663793i | −0.0282986 | − | 0.999600i | \(-0.509009\pi\) |
0.941931 | + | 0.335807i | \(0.109009\pi\) | |||||||
\(558\) | 5.95521e13 | + | 4.32671e13i | 0.0466025 | + | 0.0338587i | ||||
\(559\) | −4.58478e12 | − | 1.41105e13i | −0.00355266 | − | 0.0109340i | ||||
\(560\) | 1.17860e12 | 0.000904340 | ||||||||
\(561\) | 3.54629e13 | + | 6.09450e13i | 0.0269450 | + | 0.0463066i | ||||
\(562\) | −1.91594e14 | −0.144156 | ||||||||
\(563\) | 6.17859e14 | + | 1.90157e15i | 0.460355 | + | 1.41683i | 0.864731 | + | 0.502235i | \(0.167489\pi\) |
−0.404376 | + | 0.914593i | \(0.632511\pi\) | |||||||
\(564\) | −4.42320e14 | − | 3.21365e14i | −0.326364 | − | 0.237117i | ||||
\(565\) | 7.73846e14 | − | 5.62232e14i | 0.565442 | − | 0.410818i | ||||
\(566\) | −2.65042e14 | + | 8.15715e14i | −0.191789 | + | 0.590267i | ||||
\(567\) | −4.23858e10 | + | 1.30450e11i | −3.03748e−5 | + | 9.34841e-5i | ||||
\(568\) | −2.64591e14 | + | 1.92236e14i | −0.187784 | + | 0.136433i | ||||
\(569\) | −1.07838e15 | − | 7.83489e14i | −0.757974 | − | 0.550701i | 0.140314 | − | 0.990107i | \(-0.455189\pi\) |
−0.898288 | + | 0.439406i | \(0.855189\pi\) | |||||||
\(570\) | 3.28694e14 | + | 1.01162e15i | 0.228813 | + | 0.704213i | ||||
\(571\) | 2.12734e14 | 0.146669 | 0.0733345 | − | 0.997307i | \(-0.476636\pi\) | ||||
0.0733345 | + | 0.997307i | \(0.476636\pi\) | |||||||
\(572\) | −5.57038e12 | + | 6.22891e12i | −0.00380370 | + | 0.00425338i | ||||
\(573\) | 1.31918e15 | 0.892184 | ||||||||
\(574\) | 1.07470e12 | + | 3.30758e12i | 0.000719897 | + | 0.00221562i | ||||
\(575\) | 6.24457e14 | + | 4.53695e14i | 0.414314 | + | 0.301017i | ||||
\(576\) | 9.76628e13 | − | 7.09562e13i | 0.0641809 | − | 0.0466301i | ||||
\(577\) | −6.33997e12 | + | 1.95124e13i | −0.00412686 | + | 0.0127012i | −0.953099 | − | 0.302660i | \(-0.902126\pi\) |
0.948972 | + | 0.315361i | \(0.102126\pi\) | |||||||
\(578\) | −3.36237e14 | + | 1.03483e15i | −0.216791 | + | 0.667215i | ||||
\(579\) | −4.48274e14 | + | 3.25690e14i | −0.286293 | + | 0.208004i | ||||
\(580\) | 6.29811e14 | + | 4.57584e14i | 0.398434 | + | 0.289479i | ||||
\(581\) | 1.23259e12 | + | 3.79353e12i | 0.000772415 | + | 0.00237725i | ||||
\(582\) | 1.02814e15 | 0.638230 | ||||||||
\(583\) | −1.55378e15 | + | 3.35781e14i | −0.955460 | + | 0.206481i | ||||
\(584\) | −7.57072e14 | −0.461176 | ||||||||
\(585\) | −5.11065e12 | − | 1.57290e13i | −0.00308403 | − | 0.00949167i | ||||
\(586\) | 3.05554e14 | + | 2.21998e14i | 0.182663 | + | 0.132712i | ||||
\(587\) | 2.25417e14 | − | 1.63775e14i | 0.133499 | − | 0.0969924i | −0.519032 | − | 0.854755i | \(-0.673707\pi\) |
0.652530 | + | 0.757762i | \(0.273707\pi\) | |||||||
\(588\) | 1.59175e14 | − | 4.89892e14i | 0.0933901 | − | 0.287425i | ||||
\(589\) | 8.57978e13 | − | 2.64058e14i | 0.0498703 | − | 0.153485i | ||||
\(590\) | 2.32554e15 | − | 1.68961e15i | 1.33918 | − | 0.972971i | ||||
\(591\) | 1.07587e15 | + | 7.81665e14i | 0.613802 | + | 0.445954i | ||||
\(592\) | 2.20098e14 | + | 6.77391e14i | 0.124407 | + | 0.382886i | ||||
\(593\) | −9.17696e14 | −0.513923 | −0.256961 | − | 0.966422i | \(-0.582721\pi\) | ||||
−0.256961 | + | 0.966422i | \(0.582721\pi\) | |||||||
\(594\) | −1.27370e14 | + | 1.25272e15i | −0.0706710 | + | 0.695071i | ||||
\(595\) | 5.83243e11 | 0.000320632 | ||||||||
\(596\) | −5.30023e13 | − | 1.63124e14i | −0.0288696 | − | 0.0888514i | ||||
\(597\) | 1.66839e14 | + | 1.21215e14i | 0.0900404 | + | 0.0654182i | ||||
\(598\) | −6.95691e12 | + | 5.05449e12i | −0.00372015 | + | 0.00270284i | ||||
\(599\) | 6.17729e14 | − | 1.90117e15i | 0.327303 | − | 1.00734i | −0.643087 | − | 0.765793i | \(-0.722347\pi\) |
0.970390 | − | 0.241542i | \(-0.0776533\pi\) | |||||||
\(600\) | −1.13043e14 | + | 3.47910e14i | −0.0593487 | + | 0.182657i | ||||
\(601\) | −2.26871e15 | + | 1.64832e15i | −1.18024 | + | 0.857493i | −0.992199 | − | 0.124668i | \(-0.960213\pi\) |
−0.188040 | + | 0.982161i | \(0.560213\pi\) | |||||||
\(602\) | 2.93486e12 | + | 2.13230e12i | 0.00151289 | + | 0.00109918i | ||||
\(603\) | 1.62222e14 | + | 4.99267e14i | 0.0828636 | + | 0.255028i | ||||
\(604\) | −1.44967e15 | −0.733781 | ||||||||
\(605\) | 1.35740e15 | − | 2.38838e15i | 0.680855 | − | 1.19798i | ||||
\(606\) | −7.71996e14 | −0.383721 | ||||||||
\(607\) | 1.02419e15 | + | 3.15212e15i | 0.504477 | + | 1.55262i | 0.801648 | + | 0.597796i | \(0.203957\pi\) |
−0.297171 | + | 0.954824i | \(0.596043\pi\) | |||||||
\(608\) | −3.68370e14 | − | 2.67636e14i | −0.179810 | − | 0.130640i | ||||
\(609\) | −1.89699e12 | + | 1.37824e12i | −0.000917633 | + | 0.000666699i | ||||
\(610\) | 3.10489e13 | − | 9.55586e13i | 0.0148844 | − | 0.0458095i | ||||
\(611\) | 9.90832e12 | − | 3.04947e13i | 0.00470732 | − | 0.0144876i | ||||
\(612\) | 4.83296e13 | − | 3.51135e13i | 0.0227552 | − | 0.0165326i | ||||
\(613\) | 1.78121e15 | + | 1.29412e15i | 0.831155 | + | 0.603870i | 0.919886 | − | 0.392186i | \(-0.128281\pi\) |
−0.0887307 | + | 0.996056i | \(0.528281\pi\) | |||||||
\(614\) | −7.01405e14 | − | 2.15870e15i | −0.324372 | − | 0.998314i | ||||
\(615\) | −2.28053e15 | −1.04526 | ||||||||
\(616\) | 2.06676e11 | − | 2.03272e12i | 9.38848e−5 | − | 0.000923386i | ||||
\(617\) | 1.66723e15 | 0.750633 | 0.375316 | − | 0.926897i | \(-0.377534\pi\) | ||||
0.375316 | + | 0.926897i | \(0.377534\pi\) | |||||||
\(618\) | 4.36550e13 | + | 1.34356e14i | 0.0194804 | + | 0.0599544i | ||||
\(619\) | −8.55142e14 | − | 6.21297e14i | −0.378216 | − | 0.274790i | 0.382394 | − | 0.923999i | \(-0.375100\pi\) |
−0.760610 | + | 0.649210i | \(0.775100\pi\) | |||||||
\(620\) | 1.63208e14 | − | 1.18577e14i | 0.0715461 | − | 0.0519813i | ||||
\(621\) | −4.00417e14 | + | 1.23236e15i | −0.173984 | + | 0.535468i | ||||
\(622\) | −6.31711e14 | + | 1.94421e15i | −0.272064 | + | 0.837327i | ||||
\(623\) | 4.31025e12 | − | 3.13158e12i | 0.00184000 | − | 0.00133684i | ||||
\(624\) | −3.29710e12 | − | 2.39548e12i | −0.00139514 | − | 0.00101363i | ||||
\(625\) | −8.03817e14 | − | 2.47389e15i | −0.337145 | − | 1.03763i | ||||
\(626\) | −1.67969e15 | −0.698346 | ||||||||
\(627\) | 1.80237e15 | − | 3.89502e14i | 0.742799 | − | 0.160523i | ||||
\(628\) | −9.45495e14 | −0.386261 | ||||||||
\(629\) | 1.08918e14 | + | 3.35215e14i | 0.0441084 | + | 0.135752i | ||||
\(630\) | 3.27149e12 | + | 2.37687e12i | 0.00131332 | + | 0.000954186i | ||||
\(631\) | 1.39617e15 | − | 1.01438e15i | 0.555619 | − | 0.403681i | −0.274234 | − | 0.961663i | \(-0.588424\pi\) |
0.829853 | + | 0.557982i | \(0.188424\pi\) | |||||||
\(632\) | 1.09658e14 | − | 3.37492e14i | 0.0432609 | − | 0.133143i | ||||
\(633\) | −8.51378e14 | + | 2.62027e15i | −0.332968 | + | 1.02477i | ||||
\(634\) | 2.32096e15 | − | 1.68628e15i | 0.899865 | − | 0.653790i | ||||
\(635\) | −5.11535e15 | − | 3.71652e15i | −1.96617 | − | 1.42850i | ||||
\(636\) | −2.39575e14 | − | 7.37337e14i | −0.0912910 | − | 0.280965i | ||||
\(637\) | 3.02087e13 | 0.0114121 | ||||||||
\(638\) | 8.99633e14 | − | 1.00599e15i | 0.336939 | − | 0.376773i | ||||
\(639\) | −1.12212e15 | −0.416662 | ||||||||
\(640\) | −1.02234e14 | − | 3.14645e14i | −0.0376363 | − | 0.115833i | ||||
\(641\) | 2.20567e15 | + | 1.60251e15i | 0.805046 | + | 0.584900i | 0.912390 | − | 0.409322i | \(-0.134235\pi\) |
−0.107344 | + | 0.994222i | \(0.534235\pi\) | |||||||
\(642\) | −5.21867e14 | + | 3.79158e14i | −0.188850 | + | 0.137207i | ||||
\(643\) | −8.85209e14 | + | 2.72439e15i | −0.317604 | + | 0.977484i | 0.657066 | + | 0.753833i | \(0.271797\pi\) |
−0.974669 | + | 0.223650i | \(0.928203\pi\) | |||||||
\(644\) | 6.49734e11 | − | 1.99967e12i | 0.000231134 | − | 0.000711356i | ||||
\(645\) | −1.92451e15 | + | 1.39824e15i | −0.678800 | + | 0.493177i | ||||
\(646\) | −1.82292e14 | − | 1.32443e14i | −0.0637513 | − | 0.0463180i | ||||
\(647\) | −9.54450e14 | − | 2.93749e15i | −0.330963 | − | 1.01860i | −0.968677 | − | 0.248326i | \(-0.920120\pi\) |
0.637713 | − | 0.770274i | \(-0.279880\pi\) | |||||||
\(648\) | 3.85024e13 | 0.0132381 | ||||||||
\(649\) | −2.50625e15 | − | 4.30713e15i | −0.854434 | − | 1.46839i | ||||
\(650\) | −2.14536e13 | −0.00725230 | ||||||||
\(651\) | 1.87767e11 | + | 5.77887e11i | 6.29395e−5 | + | 0.000193708i | ||||
\(652\) | 8.38879e13 | + | 6.09481e13i | 0.0278829 | + | 0.0202581i | ||||
\(653\) | −8.09557e14 | + | 5.88178e14i | −0.266824 | + | 0.193859i | −0.713150 | − | 0.701011i | \(-0.752732\pi\) |
0.446326 | + | 0.894870i | \(0.352732\pi\) | |||||||
\(654\) | 6.58314e14 | − | 2.02608e15i | 0.215157 | − | 0.662185i | ||||
\(655\) | −2.09839e14 | + | 6.45817e14i | −0.0680078 | + | 0.209306i | ||||
\(656\) | 7.89788e14 | − | 5.73815e14i | 0.253828 | − | 0.184417i | ||||
\(657\) | −2.10144e15 | − | 1.52678e15i | −0.669741 | − | 0.486595i | ||||
\(658\) | 2.42267e12 | + | 7.45621e12i | 0.000765688 | + | 0.00235654i | ||||
\(659\) | 1.68765e15 | 0.528947 | 0.264474 | − | 0.964393i | \(-0.414802\pi\) | ||||
0.264474 | + | 0.964393i | \(0.414802\pi\) | |||||||
\(660\) | 1.22582e15 | + | 5.40793e14i | 0.381009 | + | 0.168089i | ||||
\(661\) | 2.44071e15 | 0.752330 | 0.376165 | − | 0.926553i | \(-0.377243\pi\) | ||||
0.376165 | + | 0.926553i | \(0.377243\pi\) | |||||||
\(662\) | −1.13296e15 | − | 3.48689e15i | −0.346334 | − | 1.06591i | ||||
\(663\) | −1.63161e12 | − | 1.18543e12i | −0.000494643 | − | 0.000359379i | ||||
\(664\) | 9.05824e14 | − | 6.58120e14i | 0.272345 | − | 0.197870i | ||||
\(665\) | 4.71329e12 | − | 1.45060e13i | 0.00140542 | − | 0.00432543i | ||||
\(666\) | −7.55157e14 | + | 2.32413e15i | −0.223321 | + | 0.687311i | ||||
\(667\) | 1.12356e15 | − | 8.16316e14i | 0.329538 | − | 0.239423i | ||||
\(668\) | 1.88241e15 | + | 1.36765e15i | 0.547574 | + | 0.397836i | ||||
\(669\) | 4.90433e14 | + | 1.50940e15i | 0.141493 | + | 0.435471i | ||||
\(670\) | 1.43870e15 | 0.411679 | ||||||||
\(671\) | −1.59364e14 | − | 7.03066e13i | −0.0452291 | − | 0.0199536i | ||||
\(672\) | 9.96481e11 | 0.000280503 | ||||||||
\(673\) | 1.15029e15 | + | 3.54023e15i | 0.321162 | + | 0.988436i | 0.973143 | + | 0.230200i | \(0.0739382\pi\) |
−0.651981 | + | 0.758235i | \(0.726062\pi\) | |||||||
\(674\) | −2.92962e15 | − | 2.12849e15i | −0.811300 | − | 0.589444i | ||||
\(675\) | −2.61534e15 | + | 1.90016e15i | −0.718386 | + | 0.521938i | ||||
\(676\) | −5.67026e14 | + | 1.74513e15i | −0.154488 | + | 0.475466i | ||||
\(677\) | −2.07001e15 | + | 6.37083e15i | −0.559415 | + | 1.72170i | 0.124573 | + | 0.992210i | \(0.460244\pi\) |
−0.683988 | + | 0.729493i | \(0.739756\pi\) | |||||||
\(678\) | 6.54271e14 | − | 4.75356e14i | 0.175386 | − | 0.127425i | ||||
\(679\) | −1.19273e13 | − | 8.66573e12i | −0.00317147 | − | 0.00230421i | ||||
\(680\) | −5.05919e13 | − | 1.55706e14i | −0.0133439 | − | 0.0410682i | ||||
\(681\) | −4.50019e14 | −0.117739 | ||||||||
\(682\) | −1.75890e14 | − | 3.02276e14i | −0.0456484 | − | 0.0784494i | ||||
\(683\) | −3.57221e15 | −0.919651 | −0.459826 | − | 0.888009i | \(-0.652088\pi\) | ||||
−0.459826 | + | 0.888009i | \(0.652088\pi\) | |||||||
\(684\) | −4.82759e14 | − | 1.48578e15i | −0.123288 | − | 0.379442i | ||||
\(685\) | 7.96854e15 | + | 5.78948e15i | 2.01874 | + | 1.46670i | ||||
\(686\) | −1.19513e13 | + | 8.68313e12i | −0.00300353 | + | 0.00218220i | ||||
\(687\) | 9.46491e14 | − | 2.91300e15i | 0.235969 | − | 0.726237i | ||||
\(688\) | 3.14675e14 | − | 9.68469e14i | 0.0778261 | − | 0.239524i | ||||
\(689\) | 3.67837e13 | − | 2.67249e13i | 0.00902505 | − | 0.00655709i | ||||
\(690\) | 1.11543e15 | + | 8.10409e14i | 0.271502 | + | 0.197258i | ||||
\(691\) | −6.25968e14 | − | 1.92653e15i | −0.151155 | − | 0.465207i | 0.846596 | − | 0.532236i | \(-0.178648\pi\) |
−0.997751 | + | 0.0670287i | \(0.978648\pi\) | |||||||
\(692\) | 2.67048e15 | 0.639744 | ||||||||
\(693\) | 4.67305e12 | − | 5.22550e12i | 0.00111063 | − | 0.00124193i | ||||
\(694\) | −3.33367e15 | −0.786040 | ||||||||
\(695\) | −4.04610e14 | − | 1.24526e15i | −0.0946499 | − | 0.291303i | ||||
\(696\) | 5.32492e14 | + | 3.86878e14i | 0.123584 | + | 0.0897891i | ||||
\(697\) | 3.90836e14 | − | 2.83959e14i | 0.0899941 | − | 0.0653846i | ||||
\(698\) | −6.19441e14 | + | 1.90644e15i | −0.141513 | + | 0.435531i | ||||
\(699\) | 1.06937e15 | − | 3.29118e15i | 0.242384 | − | 0.745980i | ||||
\(700\) | 4.24376e12 | − | 3.08327e12i | 0.000954359 | − | 0.000693382i | ||||
\(701\) | 5.55786e15 | + | 4.03802e15i | 1.24010 | + | 0.900989i | 0.997605 | − | 0.0691625i | \(-0.0220327\pi\) |
0.242500 | + | 0.970152i | \(0.422033\pi\) | |||||||
\(702\) | −1.11293e13 | − | 3.42524e13i | −0.00246384 | − | 0.00758293i | ||||
\(703\) | 9.21742e15 | 2.02467 | ||||||||
\(704\) | −5.60594e14 | + | 1.21148e14i | −0.122180 | + | 0.0264037i | ||||
\(705\) | −5.14096e15 | −1.11174 | ||||||||
\(706\) | 2.41092e14 | + | 7.42005e14i | 0.0517317 | + | 0.159214i | ||||
\(707\) | 8.95582e12 | + | 6.50678e12i | 0.00190677 | + | 0.00138535i | ||||
\(708\) | 1.96620e15 | − | 1.42853e15i | 0.415379 | − | 0.301791i | ||||
\(709\) | 7.74390e14 | − | 2.38333e15i | 0.162333 | − | 0.499608i | −0.836497 | − | 0.547971i | \(-0.815400\pi\) |
0.998830 | + | 0.0483629i | \(0.0154004\pi\) | |||||||
\(710\) | −9.50308e14 | + | 2.92475e15i | −0.197671 | + | 0.608369i | ||||
\(711\) | 9.85001e14 | − | 7.15645e14i | 0.203308 | − | 0.147712i | ||||
\(712\) | −1.20991e15 | − | 8.79048e14i | −0.247806 | − | 0.180042i | ||||
\(713\) | −1.11212e14 | − | 3.42276e14i | −0.0226027 | − | 0.0695639i | ||||
\(714\) | 4.93120e11 | 9.94518e−5 | ||||||||
\(715\) | −7.94804e12 | + | 7.81714e13i | −0.00159066 | + | 0.0156446i | ||||
\(716\) | −8.47788e14 | −0.168370 | ||||||||
\(717\) | 1.13245e15 | + | 3.48532e15i | 0.223184 | + | 0.686890i | ||||
\(718\) | 1.59718e15 | + | 1.16042e15i | 0.312371 | + | 0.226950i | ||||
\(719\) | −2.33653e15 | + | 1.69759e15i | −0.453484 | + | 0.329475i | −0.790970 | − | 0.611855i | \(-0.790424\pi\) |
0.337486 | + | 0.941331i | \(0.390424\pi\) | |||||||
\(720\) | 3.50767e14 | − | 1.07955e15i | 0.0675601 | − | 0.207929i | ||||
\(721\) | 6.25989e11 | − | 1.92660e12i | 0.000119653 | − | 0.000368253i | ||||
\(722\) | −1.75140e15 | + | 1.27247e15i | −0.332224 | + | 0.241375i | ||||
\(723\) | 3.83869e15 | + | 2.78897e15i | 0.722641 | + | 0.525030i | ||||
\(724\) | −2.14063e14 | − | 6.58818e14i | −0.0399926 | − | 0.123085i | ||||
\(725\) | 3.46482e15 | 0.642423 | ||||||||
\(726\) | 1.14766e15 | − | 2.01933e15i | 0.211184 | − | 0.371583i | ||||
\(727\) | −4.09093e15 | −0.747108 | −0.373554 | − | 0.927608i | \(-0.621861\pi\) | ||||
−0.373554 | + | 0.927608i | \(0.621861\pi\) | |||||||
\(728\) | 1.80588e10 | + | 5.55794e10i | 3.27316e−6 | + | 1.00737e-5i | ||||
\(729\) | −2.57902e15 | − | 1.87376e15i | −0.463930 | − | 0.337065i | ||||
\(730\) | −5.75917e15 | + | 4.18428e15i | −1.02822 | + | 0.747042i | ||||
\(731\) | 1.55721e14 | − | 4.79258e14i | 0.0275931 | − | 0.0849228i | ||||
\(732\) | 2.62512e13 | − | 8.07928e13i | 0.00461677 | − | 0.0142089i | ||||
\(733\) | −4.79159e14 | + | 3.48130e14i | −0.0836389 | + | 0.0607672i | −0.628819 | − | 0.777552i | \(-0.716461\pi\) |
0.545180 | + | 0.838319i | \(0.316461\pi\) | |||||||
\(734\) | 1.22538e15 | + | 8.90289e14i | 0.212296 | + | 0.154242i | ||||
\(735\) | −1.49672e15 | − | 4.60644e15i | −0.257372 | − | 0.792109i | ||||
\(736\) | −5.90204e14 | −0.100734 | ||||||||
\(737\) | 2.52286e14 | − | 2.48131e15i | 0.0427388 | − | 0.420349i | ||||
\(738\) | 3.34946e15 | 0.563203 | ||||||||
\(739\) | −2.21639e15 | − | 6.82136e15i | −0.369915 | − | 1.13848i | −0.946845 | − | 0.321689i | \(-0.895750\pi\) |
0.576930 | − | 0.816793i | \(-0.304250\pi\) | |||||||
\(740\) | 5.41821e15 | + | 3.93656e15i | 0.897597 | + | 0.652142i | ||||
\(741\) | −4.26686e13 | + | 3.10006e13i | −0.00701631 | + | 0.00509765i | ||||
\(742\) | −3.43538e12 | + | 1.05730e13i | −0.000560729 | + | 0.00172575i | ||||
\(743\) | 5.34154e14 | − | 1.64396e15i | 0.0865422 | − | 0.266349i | −0.898415 | − | 0.439147i | \(-0.855281\pi\) |
0.984957 | + | 0.172798i | \(0.0552807\pi\) | |||||||
\(744\) | 1.37989e14 | − | 1.00255e14i | 0.0221918 | − | 0.0161233i | ||||
\(745\) | −1.30477e15 | − | 9.47974e14i | −0.208293 | − | 0.151334i | ||||
\(746\) | 1.40501e15 | + | 4.32417e15i | 0.222646 | + | 0.685234i | ||||
\(747\) | 3.84156e15 | 0.604289 | ||||||||
\(748\) | −2.77416e14 | + | 5.99513e13i | −0.0433185 | + | 0.00936138i | ||||
\(749\) | 9.24984e12 | 0.00143379 | ||||||||
\(750\) | −1.19791e14 | − | 3.68679e14i | −0.0184327 | − | 0.0567299i | ||||
\(751\) | −2.44806e15 | − | 1.77862e15i | −0.373940 | − | 0.271683i | 0.384903 | − | 0.922957i | \(-0.374235\pi\) |
−0.758843 | + | 0.651274i | \(0.774235\pi\) | |||||||
\(752\) | 1.78040e15 | − | 1.29354e15i | 0.269973 | − | 0.196147i | ||||
\(753\) | 1.57965e15 | − | 4.86166e15i | 0.237787 | − | 0.731833i | ||||
\(754\) | −1.19282e13 | + | 3.67113e13i | −0.00178252 | + | 0.00548603i | ||||
\(755\) | −1.10279e16 | + | 8.01223e15i | −1.63600 | + | 1.18863i | ||||
\(756\) | 7.12421e12 | + | 5.17604e12i | 0.00104922 | + | 0.000762303i | ||||
\(757\) | −1.86483e15 | − | 5.73936e15i | −0.272654 | − | 0.839143i | −0.989831 | − | 0.142251i | \(-0.954566\pi\) |
0.717176 | − | 0.696892i | \(-0.245434\pi\) | |||||||
\(758\) | 7.14287e15 | 1.03679 | ||||||||
\(759\) | 1.59330e15 | − | 1.78167e15i | 0.229599 | − | 0.256742i | ||||
\(760\) | −4.28145e15 | −0.612515 | ||||||||
\(761\) | −4.19403e15 | − | 1.29079e16i | −0.595684 | − | 1.83333i | −0.551290 | − | 0.834313i | \(-0.685864\pi\) |
−0.0443938 | − | 0.999014i | \(-0.514136\pi\) | |||||||
\(762\) | −4.32493e15 | − | 3.14224e15i | −0.609855 | − | 0.443085i | ||||
\(763\) | −2.47139e13 | + | 1.79557e13i | −0.00345984 | + | 0.00251372i | ||||
\(764\) | −1.64085e15 | + | 5.05002e15i | −0.228063 | + | 0.701907i | ||||
\(765\) | 1.73581e14 | − | 5.34229e14i | 0.0239533 | − | 0.0737207i | ||||
\(766\) | −6.92674e15 | + | 5.03257e15i | −0.949009 | + | 0.689496i | ||||
\(767\) | 1.15310e14 | + | 8.37775e13i | 0.0156853 | + | 0.0113960i | ||||
\(768\) | −8.64371e13 | − | 2.66026e14i | −0.0116738 | − | 0.0359284i | ||||
\(769\) | −3.73203e15 | −0.500438 | −0.250219 | − | 0.968189i | \(-0.580503\pi\) | ||||
−0.250219 | + | 0.968189i | \(0.580503\pi\) | |||||||
\(770\) | −9.66247e12 | − | 1.66055e13i | −0.00128644 | − | 0.00221082i | ||||
\(771\) | −5.16073e15 | −0.682201 | ||||||||
\(772\) | −6.89207e14 | − | 2.12116e15i | −0.0904596 | − | 0.278406i | ||||
\(773\) | 1.00742e16 | + | 7.31933e15i | 1.31287 | + | 0.953859i | 0.999992 | + | 0.00406697i | \(0.00129456\pi\) |
0.312882 | + | 0.949792i | \(0.398705\pi\) | |||||||
\(774\) | 2.82657e15 | − | 2.05362e15i | 0.365749 | − | 0.265733i | ||||
\(775\) | 2.77455e14 | − | 8.53919e14i | 0.0356478 | − | 0.109713i | ||||
\(776\) | −1.27884e15 | + | 3.93588e15i | −0.163147 | + | 0.502114i | ||||
\(777\) | −1.63196e13 | + | 1.18569e13i | −0.00206726 | + | 0.00150195i | ||||
\(778\) | −7.16883e15 | − | 5.20846e15i | −0.901697 | − | 0.655121i | ||||
\(779\) | −3.90402e15 | − | 1.20153e16i | −0.487591 | − | 1.50065i | ||||
\(780\) | −3.83213e13 | −0.00475247 | ||||||||
\(781\) | 4.87764e15 | + | 2.15186e15i | 0.600661 | + | 0.264993i | ||||
\(782\) | −2.92070e14 | −0.0357149 | ||||||||
\(783\) | 1.79741e15 | + | 5.53187e15i | 0.218252 | + | 0.671711i | ||||
\(784\) | 1.67739e15 | + | 1.21869e15i | 0.202253 | + | 0.146945i | ||||
\(785\) | −7.19253e15 | + | 5.22568e15i | −0.861190 | + | 0.625691i | ||||
\(786\) | −1.77414e14 | + | 5.46025e14i | −0.0210943 | + | 0.0649215i | ||||
\(787\) | −9.21371e12 | + | 2.83569e13i | −0.00108786 | + | 0.00334809i | −0.951599 | − | 0.307342i | \(-0.900560\pi\) |
0.950511 | + | 0.310691i | \(0.100560\pi\) | |||||||
\(788\) | −4.33053e15 | + | 3.14632e15i | −0.507747 | + | 0.368900i | ||||
\(789\) | 6.38786e15 | + | 4.64105e15i | 0.743759 | + | 0.540372i | ||||
\(790\) | −1.03111e15 | − | 3.17343e15i | −0.119222 | − | 0.366927i | ||||
\(791\) | −1.15967e13 | −0.00133156 | ||||||||
\(792\) | −1.80038e15 | − | 7.94272e14i | −0.205294 | − | 0.0905693i | ||||
\(793\) | 4.98201e12 | 0.000564160 | ||||||||
\(794\) | 1.52520e15 | + | 4.69410e15i | 0.171520 | + | 0.527885i | ||||
\(795\) | −5.89769e15 | − | 4.28493e15i | −0.658663 | − | 0.478546i | ||||
\(796\) | −6.71550e14 | + | 4.87909e14i | −0.0744828 | + | 0.0541150i | ||||
\(797\) | −3.73302e15 | + | 1.14890e16i | −0.411187 | + | 1.26550i | 0.504431 | + | 0.863452i | \(0.331702\pi\) |
−0.915617 | + | 0.402051i | \(0.868298\pi\) | |||||||
\(798\) | 3.98499e12 | − | 1.22645e13i | 0.000435925 | − | 0.00134164i | ||||
\(799\) | 8.81054e14 | − | 6.40123e14i | 0.0957184 | − | 0.0695435i | ||||
\(800\) | −1.19124e15 | − | 8.65488e14i | −0.128530 | − | 0.0933827i | ||||
\(801\) | −1.58562e15 | − | 4.88003e15i | −0.169910 | − | 0.522930i | ||||
\(802\) | −2.12845e15 | −0.226519 | ||||||||
\(803\) | 6.20668e15 | + | 1.06665e16i | 0.656030 | + | 1.12743i | ||||
\(804\) | 1.21639e15 | 0.127692 | ||||||||
\(805\) | −6.10943e12 | − | 1.88029e13i | −0.000636976 | − | 0.00196041i | ||||
\(806\) | 8.09248e12 | + | 5.87953e12i | 0.000837990 | + | 0.000608836i | ||||
\(807\) | 1.36825e15 | − | 9.94091e14i | 0.140722 | − | 0.102240i | ||||
\(808\) | 9.60238e14 | − | 2.95531e15i | 0.0980882 | − | 0.301884i | ||||
\(809\) | −1.67157e15 | + | 5.14456e15i | −0.169593 | + | 0.521953i | −0.999345 | − | 0.0361785i | \(-0.988482\pi\) |
0.829753 | + | 0.558131i | \(0.188482\pi\) | |||||||
\(810\) | 2.92894e14 | − | 2.12800e14i | 0.0295150 | − | 0.0214439i | ||||
\(811\) | 4.84873e15 | + | 3.52281e15i | 0.485304 | + | 0.352594i | 0.803375 | − | 0.595473i | \(-0.203035\pi\) |
−0.318072 | + | 0.948067i | \(0.603035\pi\) | |||||||
\(812\) | −2.91656e12 | − | 8.97624e12i | −0.000289943 | − | 0.000892352i | ||||
\(813\) | −4.31291e15 | −0.425865 | ||||||||
\(814\) | 7.73947e15 | − | 8.65444e15i | 0.759062 | − | 0.848799i | ||||
\(815\) | 9.75005e14 | 0.0949817 | ||||||||
\(816\) | −4.27744e13 | − | 1.31646e14i | −0.00413893 | − | 0.0127383i | ||||
\(817\) | −1.06614e16 | − | 7.74595e15i | −1.02469 | − | 0.744480i | ||||
\(818\) | 8.62635e15 | − | 6.26741e15i | 0.823539 | − | 0.598336i | ||||
\(819\) | −6.19600e10 | + | 1.90693e11i | −5.87557e−6 | + | 1.80831e-5i | ||||
\(820\) | 2.83661e15 | − | 8.73020e15i | 0.267192 | − | 0.822334i | ||||
\(821\) | −6.24176e14 | + | 4.53490e14i | −0.0584009 | + | 0.0424308i | −0.616603 | − | 0.787274i | \(-0.711491\pi\) |
0.558202 | + | 0.829705i | \(0.311491\pi\) | |||||||
\(822\) | 6.73724e15 | + | 4.89489e15i | 0.626162 | + | 0.454934i | ||||
\(823\) | −3.40892e14 | − | 1.04916e15i | −0.0314716 | − | 0.0968595i | 0.934087 | − | 0.357046i | \(-0.116216\pi\) |
−0.965558 | + | 0.260186i | \(0.916216\pi\) | |||||||
\(824\) | −5.68635e14 | −0.0521475 | ||||||||
\(825\) | 5.82853e15 | − | 1.25958e15i | 0.530961 | − | 0.114744i | ||||
\(826\) | −3.48500e13 | −0.00315364 | ||||||||
\(827\) | 1.98557e15 | + | 6.11095e15i | 0.178486 | + | 0.549324i | 0.999776 | − | 0.0211880i | \(-0.00674487\pi\) |
−0.821289 | + | 0.570512i | \(0.806745\pi\) | |||||||
\(828\) | −1.63826e15 | − | 1.19026e15i | −0.146290 | − | 0.106286i | ||||
\(829\) | 1.44232e16 | − | 1.04791e16i | 1.27942 | − | 0.929551i | 0.279881 | − | 0.960035i | \(-0.409705\pi\) |
0.999535 | + | 0.0304839i | \(0.00970484\pi\) | |||||||
\(830\) | 3.25337e15 | − | 1.00129e16i | 0.286685 | − | 0.882324i | ||||
\(831\) | −7.82171e13 | + | 2.40727e14i | −0.00684693 | + | 0.0210727i | ||||
\(832\) | 1.32713e13 | − | 9.64218e12i | 0.00115408 | − | 0.000838488i | ||||
\(833\) | 8.30074e14 | + | 6.03084e14i | 0.0717083 | + | 0.0520991i | ||||
\(834\) | −3.42090e14 | − | 1.05284e15i | −0.0293580 | − | 0.0903547i | ||||
\(835\) | 2.18787e16 | 1.86528 | ||||||||
\(836\) | −7.50783e14 | + | 7.38419e15i | −0.0635887 | + | 0.625415i | ||||
\(837\) | 1.50729e15 | 0.126825 | ||||||||
\(838\) | 4.59066e15 | + | 1.41286e16i | 0.383736 | + | 1.18102i | ||||
\(839\) | 8.41657e15 | + | 6.11500e15i | 0.698947 | + | 0.507815i | 0.879589 | − | 0.475734i | \(-0.157818\pi\) |
−0.180642 | + | 0.983549i | \(0.557818\pi\) | |||||||
\(840\) | 7.58039e12 | − | 5.50748e12i | 0.000625397 | − | 0.000454377i | ||||
\(841\) | −1.84372e15 | + | 5.67438e15i | −0.151118 | + | 0.465094i | ||||
\(842\) | 2.91172e15 | − | 8.96136e15i | 0.237101 | − | 0.729722i | ||||
\(843\) | −1.23228e15 | + | 8.95301e14i | −0.0996911 | + | 0.0724298i | ||||
\(844\) | −8.97179e15 | − | 6.51839e15i | −0.721101 | − | 0.523910i | ||||
\(845\) | 5.33173e15 | + | 1.64094e16i | 0.425751 | + | 1.31033i | ||||
\(846\) | 7.55062e15 | 0.599026 | ||||||||
\(847\) | −3.03337e13 | + | 1.37529e13i | −0.00239093 | + | 0.00108401i | ||||
\(848\) | 3.12062e15 | 0.244379 | ||||||||
\(849\) | 2.10709e15 | + | 6.48495e15i | 0.163942 | + | 0.504562i | ||||
\(850\) | −5.89501e14 | − | 4.28297e14i | −0.0455701 | − | 0.0331086i | ||||
\(851\) | 9.66592e15 | − | 7.02270e15i | 0.742387 | − | 0.539376i | ||||
\(852\) | −8.03466e14 | + | 2.47281e15i | −0.0613126 | + | 0.188701i | ||||
\(853\) | −4.40600e15 | + | 1.35603e16i | −0.334060 | + | 1.02813i | 0.633123 | + | 0.774051i | \(0.281773\pi\) |
−0.967183 | + | 0.254081i | \(0.918227\pi\) | |||||||
\(854\) | −9.85500e11 | + | 7.16008e11i | −7.42401e−5 | + | 5.39386e-5i | ||||
\(855\) | −1.18842e16 | − | 8.63439e15i | −0.889523 | − | 0.646276i | ||||
\(856\) | −8.02354e14 | − | 2.46939e15i | −0.0596706 | − | 0.183647i | ||||
\(857\) | −2.06249e16 | −1.52404 | −0.762020 | − | 0.647553i | \(-0.775792\pi\) | ||||
−0.762020 | + | 0.647553i | \(0.775792\pi\) | |||||||
\(858\) | −6.71991e12 | + | 6.60924e13i | −0.000493382 | + | 0.00485256i | ||||
\(859\) | −3.03254e15 | −0.221230 | −0.110615 | − | 0.993863i | \(-0.535282\pi\) | ||||
−0.110615 | + | 0.993863i | \(0.535282\pi\) | |||||||
\(860\) | −2.95888e15 | − | 9.10649e15i | −0.214479 | − | 0.660100i | ||||
\(861\) | 2.23681e13 | + | 1.62514e13i | 0.00161106 | + | 0.00117050i | ||||
\(862\) | −1.38592e16 | + | 1.00693e16i | −0.991858 | + | 0.720627i | ||||
\(863\) | −5.98431e15 | + | 1.84178e16i | −0.425554 | + | 1.30972i | 0.476908 | + | 0.878953i | \(0.341757\pi\) |
−0.902462 | + | 0.430768i | \(0.858243\pi\) | |||||||
\(864\) | 7.63854e14 | − | 2.35090e15i | 0.0539740 | − | 0.166115i | ||||
\(865\) | 2.03148e16 | − | 1.47596e16i | 1.42634 | − | 1.03630i | ||||
\(866\) | 5.36435e14 | + | 3.89743e14i | 0.0374256 | + | 0.0271913i | ||||
\(867\) | 2.67309e15 | + | 8.22692e15i | 0.185314 | + | 0.570338i | ||||
\(868\) | −2.44578e12 | −0.000168484 | ||||||||
\(869\) | −5.65399e15 | + | 1.22186e15i | −0.387032 | + | 0.0836399i | ||||
\(870\) | 6.18900e15 | 0.420983 | ||||||||
\(871\) | 2.20442e13 | + | 6.78450e13i | 0.00149003 | + | 0.00458583i | ||||
\(872\) | 6.93729e15 | + | 5.04024e15i | 0.465961 | + | 0.338540i | ||||
\(873\) | −1.14872e16 | + | 8.34595e15i | −0.766720 | + | 0.557055i | ||||
\(874\) | −2.36027e15 | + | 7.26415e15i | −0.156548 | + | 0.481806i | ||||
\(875\) | −1.71774e12 | + | 5.28666e12i | −0.000113217 | + | 0.000348447i | ||||
\(876\) | −4.86926e15 | + | 3.53772e15i | −0.318926 | + | 0.231714i | ||||
\(877\) | 4.64150e15 | + | 3.37225e15i | 0.302107 | + | 0.219493i | 0.728502 | − | 0.685043i | \(-0.240217\pi\) |
−0.426396 | + | 0.904537i | \(0.640217\pi\) | |||||||
\(878\) | −5.59671e15 | − | 1.72249e16i | −0.362004 | − | 1.11413i | ||||
\(879\) | 3.00260e15 | 0.193001 | ||||||||
\(880\) | −3.59495e15 | + | 4.01995e15i | −0.229635 | + | 0.256783i | ||||
\(881\) | −1.21294e16 | −0.769964 | −0.384982 | − | 0.922924i | \(-0.625792\pi\) | ||||
−0.384982 | + | 0.922924i | \(0.625792\pi\) | |||||||
\(882\) | 2.19826e15 | + | 6.76556e15i | 0.138676 | + | 0.426802i | ||||
\(883\) | −2.23327e16 | − | 1.62257e16i | −1.40010 | − | 1.01723i | −0.994671 | − | 0.103100i | \(-0.967124\pi\) |
−0.405424 | − | 0.914129i | \(-0.632876\pi\) | |||||||
\(884\) | 6.56747e12 | − | 4.77155e12i | 0.000409176 | − | 0.000297284i | ||||
\(885\) | 7.06184e15 | − | 2.17341e16i | 0.437250 | − | 1.34572i | ||||
\(886\) | 2.12018e15 | − | 6.52523e15i | 0.130463 | − | 0.401523i | ||||
\(887\) | −2.87683e15 | + | 2.09014e15i | −0.175928 | + | 0.127819i | −0.672264 | − | 0.740311i | \(-0.734678\pi\) |
0.496337 | + | 0.868130i | \(0.334678\pi\) | |||||||
\(888\) | 4.58099e15 | + | 3.32828e15i | 0.278412 | + | 0.202278i | ||||
\(889\) | 2.36884e13 | + | 7.29054e13i | 0.00143079 | + | 0.00440352i | ||||
\(890\) | −1.40624e16 | −0.844139 | ||||||||
\(891\) | −3.15653e14 | − | 5.42467e14i | −0.0188314 | − | 0.0323628i | ||||
\(892\) | −6.38820e15 | −0.378767 | ||||||||
\(893\) | −8.80075e15 | − | 2.70859e16i | −0.518605 | − | 1.59610i | ||||
\(894\) | −1.10316e15 | − | 8.01492e14i | −0.0646074 | − | 0.0469400i | ||||
\(895\) | −6.44927e15 | + | 4.68567e15i | −0.375391 | + | 0.272737i | ||||
\(896\) | −1.23946e12 | + | 3.81467e12i | −7.17033e−5 | + | 0.000220680i | ||||
\(897\) | −2.11256e13 | + | 6.50180e13i | −0.00121465 | + | 0.00373831i | ||||
\(898\) | 1.54381e16 | − | 1.12164e16i | 0.882213 | − | 0.640965i | ||||
\(899\) | −1.30696e15 | − | 9.49563e14i | −0.0742308 | − | 0.0539318i | ||||
\(900\) | −1.56116e15 | − | 4.80475e15i | −0.0881278 | − | 0.271230i | ||||
\(901\) | 1.54428e15 | 0.0866441 | ||||||||
\(902\) | −1.45595e16 | − | 6.42319e15i | −0.811914 | − | 0.358191i | ||||
\(903\) | 2.88402e13 | 0.00159851 | ||||||||
\(904\) | 1.00592e15 | + | 3.09591e15i | 0.0554163 | + | 0.170554i | ||||
\(905\) | −5.26965e15 | − | 3.82863e15i | −0.288546 | − | 0.209641i | ||||
\(906\) | −9.32385e15 | + | 6.77417e15i | −0.507446 | + | 0.368681i | ||||
\(907\) | −3.34197e15 | + | 1.02855e16i | −0.180785 | + | 0.556399i | −0.999850 | − | 0.0173013i | \(-0.994493\pi\) |
0.819065 | + | 0.573700i | \(0.194493\pi\) | |||||||
\(908\) | 5.59751e14 | − | 1.72274e15i | 0.0300970 | − | 0.0926289i | ||||
\(909\) | 8.62534e15 | − | 6.26668e15i | 0.460972 | − | 0.334916i | ||||
\(910\) | 4.44560e11 | + | 3.22991e11i | 2.36158e−5 | + | 1.71579e-5i | ||||
\(911\) | 6.56700e15 | + | 2.02111e16i | 0.346749 | + | 1.06718i | 0.960641 | + | 0.277794i | \(0.0896034\pi\) |
−0.613891 | + | 0.789391i | \(0.710397\pi\) | |||||||
\(912\) | −3.61988e15 | −0.189987 | ||||||||
\(913\) | −1.66986e16 | − | 7.36689e15i | −0.871144 | − | 0.384322i | ||||
\(914\) | 2.43716e16 | 1.26381 | ||||||||
\(915\) | −2.46839e14 | − | 7.59693e14i | −0.0127232 | − | 0.0391581i | ||||
\(916\) | 9.97410e15 | + | 7.24660e15i | 0.511032 | + | 0.371287i | ||||
\(917\) | 6.66034e12 | − | 4.83902e12i | 0.000339207 | − | 0.000246449i | ||||
\(918\) | 3.78002e14 | − | 1.16337e15i | 0.0191364 | − | 0.0588957i | ||||
\(919\) | −3.49017e15 | + | 1.07416e16i | −0.175635 | + | 0.540549i | −0.999662 | − | 0.0260015i | \(-0.991723\pi\) |
0.824027 | + | 0.566551i | \(0.191723\pi\) | |||||||
\(920\) | −4.48978e15 | + | 3.26202e15i | −0.224591 | + | 0.163175i | ||||
\(921\) | −1.45986e16 | − | 1.06065e16i | −0.725913 | − | 0.527407i | ||||
\(922\) | 2.40555e15 | + | 7.40353e15i | 0.118903 | + | 0.365947i | ||||
\(923\) | −1.52484e14 | −0.00749228 | ||||||||
\(924\) | −8.16942e12 | − | 1.40396e13i | −0.000399021 | − | 0.000685740i | ||||
\(925\) | 2.98075e16 | 1.44726 | ||||||||
\(926\) | 1.19785e15 | + | 3.68660e15i | 0.0578152 | + | 0.177937i | ||||
\(927\) | −1.57838e15 | − | 1.14676e15i | −0.0757311 | − | 0.0550219i | ||||
\(928\) | −2.14336e15 | + | 1.55724e15i | −0.102231 | + | 0.0742749i | ||||
\(929\) | −3.37879e14 | + | 1.03989e15i | −0.0160205 | + | 0.0493059i | −0.958747 | − | 0.284260i | \(-0.908252\pi\) |
0.942727 | + | 0.333566i | \(0.108252\pi\) | |||||||
\(930\) | 4.95602e14 | − | 1.52531e15i | 0.0233602 | − | 0.0718954i | ||||
\(931\) | 2.17075e16 | − | 1.57714e16i | 1.01715 | − | 0.739005i | ||||
\(932\) | 1.12690e16 | + | 8.18739e15i | 0.524925 | + | 0.381380i | ||||
\(933\) | 5.02211e15 | + | 1.54565e16i | 0.232561 | + | 0.715750i | ||||
\(934\) | −1.22853e16 | −0.565560 | ||||||||
\(935\) | −1.77901e15 | + | 1.98932e15i | −0.0814167 | + | 0.0910418i | ||||
\(936\) | 5.62831e13 | 0.00256071 | ||||||||
\(937\) | −6.97909e15 | − | 2.14794e16i | −0.315669 | − | 0.971528i | −0.975478 | − | 0.220095i | \(-0.929363\pi\) |
0.659810 | − | 0.751433i | \(-0.270637\pi\) | |||||||
\(938\) | −1.41112e13 | − | 1.02524e13i | −0.000634524 | − | 0.000461008i | ||||
\(939\) | −1.08033e16 | + | 7.84904e15i | −0.482942 | + | 0.350878i | ||||
\(940\) | 6.39453e15 | − | 1.96803e16i | 0.284188 | − | 0.874640i | ||||
\(941\) | 1.20910e16 | − | 3.72123e16i | 0.534219 | − | 1.64416i | −0.211112 | − | 0.977462i | \(-0.567709\pi\) |
0.745331 | − | 0.666695i | \(-0.232291\pi\) | |||||||
\(942\) | −6.08114e15 | + | 4.41821e15i | −0.267119 | + | 0.194073i | ||||
\(943\) | −1.32484e16 | − | 9.62552e15i | −0.578560 | − | 0.420349i | ||||
\(944\) | 3.02297e15 | + | 9.30376e15i | 0.131247 | + | 0.403936i | ||||
\(945\) | 8.28026e13 | 0.00357412 | ||||||||
\(946\) | −1.62247e16 | + | 3.50626e15i | −0.696268 | + | 0.150468i | ||||
\(947\) | 1.51737e16 | 0.647391 | 0.323695 | − | 0.946161i | \(-0.395075\pi\) | ||||
0.323695 | + | 0.946161i | \(0.395075\pi\) | |||||||
\(948\) | −8.71782e14 | − | 2.68307e15i | −0.0369796 | − | 0.113811i | ||||
\(949\) | −2.85563e14 | − | 2.07473e14i | −0.0120431 | − | 0.00874980i | ||||
\(950\) | −1.54162e16 | + | 1.12005e16i | −0.646393 | + | 0.469632i | ||||
\(951\) | 7.04792e15 | − | 2.16913e16i | 0.293811 | − | 0.904258i | ||||
\(952\) | −6.13362e11 | + | 1.88773e12i | −2.54222e−5 | + | 7.82416e-5i | ||||
\(953\) | 6.59054e14 | − | 4.78831e14i | 0.0271588 | − | 0.0197320i | −0.574123 | − | 0.818769i | \(-0.694657\pi\) |
0.601282 | + | 0.799037i | \(0.294657\pi\) | |||||||
\(954\) | 8.66205e15 | + | 6.29335e15i | 0.354899 | + | 0.257849i | ||||
\(955\) | 1.54289e16 | + | 4.74852e16i | 0.628515 | + | 1.93437i | ||||
\(956\) | −1.47509e16 | −0.597448 | ||||||||
\(957\) | 1.08529e15 | − | 1.06741e16i | 0.0437047 | − | 0.429849i | ||||
\(958\) | 4.60022e15 | 0.184191 | ||||||||
\(959\) | −3.69011e13 | − | 1.13570e14i | −0.00146905 | − | 0.00452127i | ||||
\(960\) | −2.12785e15 | − | 1.54597e15i | −0.0842266 | − | 0.0611942i | ||||
\(961\) | 2.02172e16 | − | 1.46887e16i | 0.795687 | − | 0.578101i | ||||
\(962\) | −1.02618e14 | + | 3.15825e14i | −0.00401568 | + | 0.0123590i | ||||
\(963\) | 2.75288e15 | − | 8.47250e15i | 0.107113 | − | 0.329661i | ||||
\(964\) | −1.54513e16 | + | 1.12260e16i | −0.597780 | + | 0.434313i | ||||
\(965\) | −1.69664e16 | − | 1.23268e16i | −0.652665 | − | 0.474189i | ||||
\(966\) | −5.16540e12 | − | 1.58975e13i | −0.000197574 | − | 0.000608070i | ||||
\(967\) | −1.10976e16 | −0.422068 | −0.211034 | − | 0.977479i | \(-0.567683\pi\) | ||||
−0.211034 | + | 0.977479i | \(0.567683\pi\) | |||||||
\(968\) | 6.30277e15 | + | 6.90511e15i | 0.238351 | + | 0.261130i | ||||
\(969\) | −1.79134e15 | −0.0673593 | ||||||||
\(970\) | 1.20249e16 | + | 3.70090e16i | 0.449613 | + | 1.38377i | ||||
\(971\) | 1.32202e16 | + | 9.60500e15i | 0.491508 | + | 0.357102i | 0.805764 | − | 0.592237i | \(-0.201755\pi\) |
−0.314256 | + | 0.949338i | \(0.601755\pi\) | |||||||
\(972\) | 1.10587e16 | − | 8.03464e15i | 0.408828 | − | 0.297031i | ||||
\(973\) | −4.90538e12 | + | 1.50972e13i | −0.000180323 | + | 0.000554978i | ||||
\(974\) | −2.03824e15 | + | 6.27305e15i | −0.0745041 | + | 0.229300i | ||||
\(975\) | −1.37983e14 | + | 1.00250e14i | −0.00501533 | + | 0.00364385i | ||||
\(976\) | 2.76634e14 | + | 2.00987e14i | 0.00999843 | + | 0.00726429i | ||||
\(977\) | 2.14319e15 | + | 6.59605e15i | 0.0770265 | + | 0.237063i | 0.982154 | − | 0.188076i | \(-0.0602251\pi\) |
−0.905128 | + | 0.425139i | \(0.860225\pi\) | |||||||
\(978\) | 8.24346e14 | 0.0294609 | ||||||||
\(979\) | −2.46594e15 | + | 2.42533e16i | −0.0876350 | + | 0.861917i | ||||
\(980\) | 1.94958e16 | 0.688965 | ||||||||
\(981\) | 9.09152e15 | + | 2.79808e16i | 0.319490 | + | 0.983289i | ||||
\(982\) | 3.48818e15 | + | 2.53431e15i | 0.121895 | + | 0.0885618i | ||||
\(983\) | 2.32518e16 | − | 1.68935e16i | 0.808003 | − | 0.587049i | −0.105248 | − | 0.994446i | \(-0.533564\pi\) |
0.913251 | + | 0.407397i | \(0.133564\pi\) | |||||||
\(984\) | 2.39830e15 | − | 7.38121e15i | 0.0828763 | − | 0.255067i | ||||
\(985\) | −1.55536e16 | + | 4.78691e16i | −0.534481 | + | 1.64496i | ||||
\(986\) | −1.06067e15 | + | 7.70619e14i | −0.0362456 | + | 0.0263340i | ||||
\(987\) | 5.04240e13 | + | 3.66352e13i | 0.00171354 | + | 0.00124496i | ||||
\(988\) | −6.56017e13 | − | 2.01901e14i | −0.00221693 | − | 0.00682301i | ||||
\(989\) | −1.70817e16 | −0.574053 | ||||||||
\(990\) | −1.80857e16 | + | 3.90843e15i | −0.604424 | + | 0.130620i | ||||
\(991\) | 1.42420e16 | 0.473331 | 0.236665 | − | 0.971591i | \(-0.423945\pi\) | ||||
0.236665 | + | 0.971591i | \(0.423945\pi\) | |||||||
\(992\) | 2.12153e14 | + | 6.52941e14i | 0.00701190 | + | 0.0215804i | ||||
\(993\) | −2.35807e16 | − | 1.71324e16i | −0.775062 | − | 0.563115i | ||||
\(994\) | 3.01630e13 | − | 2.19147e13i | 0.000985939 | − | 0.000716327i | ||||
\(995\) | −2.41195e15 | + | 7.42321e15i | −0.0784045 | + | 0.241304i | ||||
\(996\) | 2.75066e15 | − | 8.46566e15i | 0.0889223 | − | 0.273675i | ||||
\(997\) | 2.37038e16 | − | 1.72218e16i | 0.762070 | − | 0.553676i | −0.137474 | − | 0.990505i | \(-0.543899\pi\) |
0.899545 | + | 0.436829i | \(0.143899\pi\) | |||||||
\(998\) | 3.32934e15 | + | 2.41891e15i | 0.106449 | + | 0.0773395i | ||||
\(999\) | 1.54630e16 | + | 4.75902e16i | 0.491681 | + | 1.51324i |
(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 | 22.12.c.a.5.4 | ✓ | 20 | |
11.3 | even | 5 | 242.12.a.n.1.4 | 10 | |||
11.8 | odd | 10 | 242.12.a.m.1.4 | 10 | |||
11.9 | even | 5 | inner | 22.12.c.a.9.4 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
22.12.c.a.5.4 | ✓ | 20 | 1.1 | even | 1 | trivial | |
22.12.c.a.9.4 | yes | 20 | 11.9 | even | 5 | inner | |
242.12.a.m.1.4 | 10 | 11.8 | odd | 10 | |||
242.12.a.n.1.4 | 10 | 11.3 | even | 5 |