Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,16,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 16, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 16);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 16 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (of order \(3\), 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: | \(19.9770907140\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - 2 x^{9} + 11041039 x^{8} + 10251836788 x^{7} + 100086056086567 x^{6} + \cdots + 12\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{18}\cdot 3^{3}\cdot 5^{2}\cdot 7^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 9.5 | ||
Root | \(1594.44 - 2761.64i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.9 |
Dual form | 14.16.c.a.11.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −64.0000 | + | 110.851i | −0.353553 | + | 0.612372i | ||||
\(3\) | 3386.37 | + | 5865.37i | 0.893975 | + | 1.54841i | 0.835068 | + | 0.550146i | \(0.185428\pi\) |
0.0589066 | + | 0.998263i | \(0.481239\pi\) | |||||||
\(4\) | −8192.00 | − | 14189.0i | −0.250000 | − | 0.433013i | ||||
\(5\) | 127571. | − | 220960.i | 0.730260 | − | 1.26485i | −0.226511 | − | 0.974009i | \(-0.572732\pi\) |
0.956772 | − | 0.290840i | \(-0.0939346\pi\) | |||||||
\(6\) | −866911. | −1.26427 | ||||||||
\(7\) | −273416. | + | 2.16167e6i | −0.125484 | + | 0.992096i | ||||
\(8\) | 2.09715e6 | 0.353553 | ||||||||
\(9\) | −1.57606e7 | + | 2.72981e7i | −1.09838 | + | 1.90245i | ||||
\(10\) | 1.63291e7 | + | 2.82829e7i | 0.516372 | + | 0.894383i | ||||
\(11\) | 2.83184e7 | + | 4.90489e7i | 0.438151 | + | 0.758900i | 0.997547 | − | 0.0700007i | \(-0.0223001\pi\) |
−0.559396 | + | 0.828901i | \(0.688967\pi\) | |||||||
\(12\) | 5.54823e7 | − | 9.60982e7i | 0.446987 | − | 0.774205i | ||||
\(13\) | −3.32442e8 | −1.46940 | −0.734702 | − | 0.678390i | \(-0.762678\pi\) | ||||
−0.734702 | + | 0.678390i | \(0.762678\pi\) | |||||||
\(14\) | −2.22125e8 | − | 1.68655e8i | −0.563167 | − | 0.427602i | ||||
\(15\) | 1.72801e9 | 2.61134 | ||||||||
\(16\) | −1.34218e8 | + | 2.32472e8i | −0.125000 | + | 0.216506i | ||||
\(17\) | 4.48427e8 | + | 7.76699e8i | 0.265048 | + | 0.459077i | 0.967576 | − | 0.252579i | \(-0.0812787\pi\) |
−0.702528 | + | 0.711656i | \(0.747945\pi\) | |||||||
\(18\) | −2.01735e9 | − | 3.49416e9i | −0.776673 | − | 1.34524i | ||||
\(19\) | −2.15919e9 | + | 3.73982e9i | −0.554164 | + | 0.959840i | 0.443804 | + | 0.896124i | \(0.353629\pi\) |
−0.997968 | + | 0.0637163i | \(0.979705\pi\) | |||||||
\(20\) | −4.18025e9 | −0.730260 | ||||||||
\(21\) | −1.36049e10 | + | 5.71652e9i | −1.64835 | + | 0.692608i | ||||
\(22\) | −7.24952e9 | −0.619639 | ||||||||
\(23\) | 1.81000e9 | − | 3.13501e9i | 0.110846 | − | 0.191991i | −0.805266 | − | 0.592914i | \(-0.797977\pi\) |
0.916112 | + | 0.400923i | \(0.131311\pi\) | |||||||
\(24\) | 7.10174e9 | + | 1.23006e10i | 0.316068 | + | 0.547446i | ||||
\(25\) | −1.72901e10 | − | 2.99473e10i | −0.566560 | − | 0.981312i | ||||
\(26\) | 2.12763e10 | − | 3.68517e10i | 0.519513 | − | 0.899823i | ||||
\(27\) | −1.16303e11 | −2.13975 | ||||||||
\(28\) | 3.29116e10 | − | 1.38289e10i | 0.460961 | − | 0.193688i | ||||
\(29\) | 4.50225e10 | 0.484669 | 0.242334 | − | 0.970193i | \(-0.422087\pi\) | ||||
0.242334 | + | 0.970193i | \(0.422087\pi\) | |||||||
\(30\) | −1.10593e11 | + | 1.91553e11i | −0.923247 | + | 1.59911i | ||||
\(31\) | −8.76950e10 | − | 1.51892e11i | −0.572482 | − | 0.991568i | −0.996310 | − | 0.0858255i | \(-0.972647\pi\) |
0.423828 | − | 0.905743i | \(-0.360686\pi\) | |||||||
\(32\) | −1.71799e10 | − | 2.97564e10i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −1.91793e11 | + | 3.32196e11i | −0.783392 | + | 1.35688i | ||||
\(34\) | −1.14797e11 | −0.374835 | ||||||||
\(35\) | 4.42762e11 | + | 3.36181e11i | 1.16321 | + | 0.883207i | ||||
\(36\) | 5.16443e11 | 1.09838 | ||||||||
\(37\) | −3.61683e11 | + | 6.26453e11i | −0.626346 | + | 1.08486i | 0.361932 | + | 0.932204i | \(0.382117\pi\) |
−0.988279 | + | 0.152660i | \(0.951216\pi\) | |||||||
\(38\) | −2.76376e11 | − | 4.78697e11i | −0.391853 | − | 0.678709i | ||||
\(39\) | −1.12577e12 | − | 1.94990e12i | −1.31361 | − | 2.27524i | ||||
\(40\) | 2.67536e11 | − | 4.63386e11i | 0.258186 | − | 0.447191i | ||||
\(41\) | 2.11168e12 | 1.69336 | 0.846681 | − | 0.532100i | \(-0.178597\pi\) | ||||
0.846681 | + | 0.532100i | \(0.178597\pi\) | |||||||
\(42\) | 2.37028e11 | − | 1.87397e12i | 0.158646 | − | 1.25428i | ||||
\(43\) | 4.29894e11 | 0.241184 | 0.120592 | − | 0.992702i | \(-0.461521\pi\) | ||||
0.120592 | + | 0.992702i | \(0.461521\pi\) | |||||||
\(44\) | 4.63969e11 | − | 8.03618e11i | 0.219076 | − | 0.379450i | ||||
\(45\) | 4.02119e12 | + | 6.96491e12i | 1.60421 | + | 2.77857i | ||||
\(46\) | 2.31680e11 | + | 4.01281e11i | 0.0783799 | + | 0.135758i | ||||
\(47\) | 5.51759e11 | − | 9.55675e11i | 0.158860 | − | 0.275154i | −0.775598 | − | 0.631228i | \(-0.782551\pi\) |
0.934458 | + | 0.356073i | \(0.115885\pi\) | |||||||
\(48\) | −1.81804e12 | −0.446987 | ||||||||
\(49\) | −4.59805e12 | − | 1.18207e12i | −0.968507 | − | 0.248985i | ||||
\(50\) | 4.42625e12 | 0.801238 | ||||||||
\(51\) | −3.03708e12 | + | 5.26038e12i | −0.473893 | + | 0.820807i | ||||
\(52\) | 2.72337e12 | + | 4.71701e12i | 0.367351 | + | 0.636271i | ||||
\(53\) | −1.61255e12 | − | 2.79302e12i | −0.188558 | − | 0.326591i | 0.756212 | − | 0.654327i | \(-0.227048\pi\) |
−0.944770 | + | 0.327735i | \(0.893715\pi\) | |||||||
\(54\) | 7.44341e12 | − | 1.28924e13i | 0.756517 | − | 1.31033i | ||||
\(55\) | 1.44505e13 | 1.27986 | ||||||||
\(56\) | −5.73395e11 | + | 4.53334e12i | −0.0443654 | + | 0.350759i | ||||
\(57\) | −2.92472e13 | −1.98163 | ||||||||
\(58\) | −2.88144e12 | + | 4.99081e12i | −0.171356 | + | 0.296798i | ||||
\(59\) | 1.38584e12 | + | 2.40035e12i | 0.0724976 | + | 0.125569i | 0.899995 | − | 0.435900i | \(-0.143570\pi\) |
−0.827498 | + | 0.561469i | \(0.810236\pi\) | |||||||
\(60\) | −1.41559e13 | − | 2.45187e13i | −0.652834 | − | 1.13074i | ||||
\(61\) | −3.44977e12 | + | 5.97517e12i | −0.140545 | + | 0.243431i | −0.927702 | − | 0.373321i | \(-0.878219\pi\) |
0.787157 | + | 0.616753i | \(0.211552\pi\) | |||||||
\(62\) | 2.24499e13 | 0.809612 | ||||||||
\(63\) | −5.47003e13 | − | 4.15329e13i | −1.74959 | − | 1.32843i | ||||
\(64\) | 4.39805e12 | 0.125000 | ||||||||
\(65\) | −4.24101e13 | + | 7.34564e13i | −1.07305 | + | 1.85857i | ||||
\(66\) | −2.45496e13 | − | 4.25211e13i | −0.553942 | − | 0.959456i | ||||
\(67\) | 2.57287e13 | + | 4.45635e13i | 0.518630 | + | 0.898293i | 0.999766 | + | 0.0216468i | \(0.00689094\pi\) |
−0.481136 | + | 0.876646i | \(0.659776\pi\) | |||||||
\(68\) | 7.34703e12 | − | 1.27254e13i | 0.132524 | − | 0.229539i | ||||
\(69\) | 2.45173e13 | 0.396374 | ||||||||
\(70\) | −6.56028e13 | + | 2.75651e13i | −0.952110 | + | 0.400060i | ||||
\(71\) | 4.86187e13 | 0.634404 | 0.317202 | − | 0.948358i | \(-0.397257\pi\) | ||||
0.317202 | + | 0.948358i | \(0.397257\pi\) | |||||||
\(72\) | −3.30523e13 | + | 5.72483e13i | −0.388337 | + | 0.672619i | ||||
\(73\) | 8.55296e13 | + | 1.48142e14i | 0.906139 | + | 1.56948i | 0.819380 | + | 0.573250i | \(0.194318\pi\) |
0.0867591 | + | 0.996229i | \(0.472349\pi\) | |||||||
\(74\) | −4.62954e13 | − | 8.01859e13i | −0.442894 | − | 0.767115i | ||||
\(75\) | 1.17101e14 | − | 2.02825e14i | 1.01298 | − | 1.75454i | ||||
\(76\) | 7.07522e13 | 0.554164 | ||||||||
\(77\) | −1.13770e14 | + | 4.78042e13i | −0.807882 | + | 0.339458i | ||||
\(78\) | 2.88198e14 | 1.85773 | ||||||||
\(79\) | 1.25430e14 | − | 2.17252e14i | 0.734852 | − | 1.27280i | −0.219937 | − | 0.975514i | \(-0.570585\pi\) |
0.954788 | − | 0.297286i | \(-0.0960816\pi\) | |||||||
\(80\) | 3.42446e13 | + | 5.93135e13i | 0.182565 | + | 0.316212i | ||||
\(81\) | −1.67699e14 | − | 2.90464e14i | −0.814504 | − | 1.41076i | ||||
\(82\) | −1.35148e14 | + | 2.34083e14i | −0.598694 | + | 1.03697i | ||||
\(83\) | −5.88072e13 | −0.237873 | −0.118936 | − | 0.992902i | \(-0.537948\pi\) | ||||
−0.118936 | + | 0.992902i | \(0.537948\pi\) | |||||||
\(84\) | 1.92563e14 | + | 1.46209e14i | 0.711995 | + | 0.540605i | ||||
\(85\) | 2.28826e14 | 0.774217 | ||||||||
\(86\) | −2.75132e13 | + | 4.76543e13i | −0.0852713 | + | 0.147694i | ||||
\(87\) | 1.52463e14 | + | 2.64074e14i | 0.433282 | + | 0.750466i | ||||
\(88\) | 5.93880e13 | + | 1.02863e14i | 0.154910 | + | 0.268312i | ||||
\(89\) | −2.63516e14 | + | 4.56423e14i | −0.631513 | + | 1.09381i | 0.355730 | + | 0.934589i | \(0.384232\pi\) |
−0.987243 | + | 0.159223i | \(0.949101\pi\) | |||||||
\(90\) | −1.02943e15 | −2.26870 | ||||||||
\(91\) | 9.08951e13 | − | 7.18630e14i | 0.184387 | − | 1.45779i | ||||
\(92\) | −5.93100e13 | −0.110846 | ||||||||
\(93\) | 5.93936e14 | − | 1.02873e15i | 1.02357 | − | 1.77287i | ||||
\(94\) | 7.06252e13 | + | 1.22326e14i | 0.112331 | + | 0.194563i | ||||
\(95\) | 5.50900e14 | + | 9.54187e14i | 0.809368 | + | 1.40187i | ||||
\(96\) | 1.16355e14 | − | 2.01533e14i | 0.158034 | − | 0.273723i | ||||
\(97\) | 1.86034e14 | 0.233779 | 0.116889 | − | 0.993145i | \(-0.462708\pi\) | ||||
0.116889 | + | 0.993145i | \(0.462708\pi\) | |||||||
\(98\) | 4.25309e14 | − | 4.34047e14i | 0.494890 | − | 0.505058i | ||||
\(99\) | −1.78526e15 | −1.92503 | ||||||||
\(100\) | −2.83280e14 | + | 4.90656e14i | −0.283280 | + | 0.490656i | ||||
\(101\) | −4.89317e14 | − | 8.47523e14i | −0.454130 | − | 0.786577i | 0.544507 | − | 0.838756i | \(-0.316717\pi\) |
−0.998638 | + | 0.0521793i | \(0.983383\pi\) | |||||||
\(102\) | −3.88747e14 | − | 6.73329e14i | −0.335093 | − | 0.580398i | ||||
\(103\) | 1.51081e14 | − | 2.61681e14i | 0.121041 | − | 0.209649i | −0.799138 | − | 0.601148i | \(-0.794710\pi\) |
0.920178 | + | 0.391499i | \(0.128043\pi\) | |||||||
\(104\) | −6.97182e14 | −0.519513 | ||||||||
\(105\) | −4.72467e14 | + | 3.73539e15i | −0.327682 | + | 2.59070i | ||||
\(106\) | 4.12813e14 | 0.266661 | ||||||||
\(107\) | 7.97180e14 | − | 1.38076e15i | 0.479930 | − | 0.831263i | −0.519805 | − | 0.854285i | \(-0.673995\pi\) |
0.999735 | + | 0.0230218i | \(0.00732872\pi\) | |||||||
\(108\) | 9.52757e14 | + | 1.65022e15i | 0.534939 | + | 0.926541i | ||||
\(109\) | 5.75242e14 | + | 9.96348e14i | 0.301406 | + | 0.522050i | 0.976455 | − | 0.215723i | \(-0.0692108\pi\) |
−0.675049 | + | 0.737773i | \(0.735877\pi\) | |||||||
\(110\) | −9.24830e14 | + | 1.60185e15i | −0.452498 | + | 0.783750i | ||||
\(111\) | −4.89917e15 | −2.23975 | ||||||||
\(112\) | −4.65830e14 | − | 3.53696e14i | −0.199109 | − | 0.151180i | ||||
\(113\) | 2.65586e14 | 0.106198 | 0.0530990 | − | 0.998589i | \(-0.483090\pi\) | ||||
0.0530990 | + | 0.998589i | \(0.483090\pi\) | |||||||
\(114\) | 1.87182e15 | − | 3.24209e15i | 0.700614 | − | 1.21350i | ||||
\(115\) | −4.61808e14 | − | 7.99874e14i | −0.161893 | − | 0.280406i | ||||
\(116\) | −3.68825e14 | − | 6.38823e14i | −0.121167 | − | 0.209868i | ||||
\(117\) | 5.23949e15 | − | 9.07505e15i | 1.61397 | − | 2.79547i | ||||
\(118\) | −3.54775e14 | −0.102527 | ||||||||
\(119\) | −1.80157e15 | + | 7.56989e14i | −0.488708 | + | 0.205346i | ||||
\(120\) | 3.62391e15 | 0.923247 | ||||||||
\(121\) | 4.84758e14 | − | 8.39625e14i | 0.116047 | − | 0.201000i | ||||
\(122\) | −4.41570e14 | − | 7.64822e14i | −0.0993805 | − | 0.172132i | ||||
\(123\) | 7.15095e15 | + | 1.23858e16i | 1.51382 | + | 2.62202i | ||||
\(124\) | −1.43679e15 | + | 2.48860e15i | −0.286241 | + | 0.495784i | ||||
\(125\) | −1.03652e15 | −0.194426 | ||||||||
\(126\) | 8.10479e15 | − | 3.40549e15i | 1.43206 | − | 0.601728i | ||||
\(127\) | 4.19039e15 | 0.697793 | 0.348896 | − | 0.937161i | \(-0.386557\pi\) | ||||
0.348896 | + | 0.937161i | \(0.386557\pi\) | |||||||
\(128\) | −2.81475e14 | + | 4.87529e14i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 1.45578e15 | + | 2.52149e15i | 0.215612 | + | 0.373451i | ||||
\(130\) | −5.42849e15 | − | 9.40242e15i | −0.758759 | − | 1.31421i | ||||
\(131\) | −2.03828e15 | + | 3.53040e15i | −0.268985 | + | 0.465896i | −0.968600 | − | 0.248624i | \(-0.920022\pi\) |
0.699615 | + | 0.714520i | \(0.253355\pi\) | |||||||
\(132\) | 6.28469e15 | 0.783392 | ||||||||
\(133\) | −7.49389e15 | − | 5.68997e15i | −0.882714 | − | 0.670228i | ||||
\(134\) | −6.58655e15 | −0.733453 | ||||||||
\(135\) | −1.48370e16 | + | 2.56984e16i | −1.56258 | + | 2.70646i | ||||
\(136\) | 9.40420e14 | + | 1.62886e15i | 0.0937088 | + | 0.162308i | ||||
\(137\) | −4.48804e14 | − | 7.77351e14i | −0.0423304 | − | 0.0733183i | 0.844084 | − | 0.536211i | \(-0.180145\pi\) |
−0.886414 | + | 0.462893i | \(0.846812\pi\) | |||||||
\(138\) | −1.56911e15 | + | 2.71778e15i | −0.140139 | + | 0.242728i | ||||
\(139\) | 1.64387e16 | 1.39077 | 0.695386 | − | 0.718637i | \(-0.255234\pi\) | ||||
0.695386 | + | 0.718637i | \(0.255234\pi\) | |||||||
\(140\) | 1.14295e15 | − | 9.03632e15i | 0.0916361 | − | 0.724488i | ||||
\(141\) | 7.47385e15 | 0.568069 | ||||||||
\(142\) | −3.11160e15 | + | 5.38944e15i | −0.224296 | + | 0.388491i | ||||
\(143\) | −9.41424e15 | − | 1.63059e16i | −0.643821 | − | 1.11513i | ||||
\(144\) | −4.23070e15 | − | 7.32779e15i | −0.274596 | − | 0.475613i | ||||
\(145\) | 5.74358e15 | − | 9.94818e15i | 0.353934 | − | 0.613032i | ||||
\(146\) | −2.18956e16 | −1.28147 | ||||||||
\(147\) | −8.63743e15 | − | 3.09722e16i | −0.480291 | − | 1.72223i | ||||
\(148\) | 1.18516e16 | 0.626346 | ||||||||
\(149\) | −2.08714e15 | + | 3.61504e15i | −0.104871 | + | 0.181642i | −0.913685 | − | 0.406422i | \(-0.866776\pi\) |
0.808815 | + | 0.588064i | \(0.200110\pi\) | |||||||
\(150\) | 1.49889e16 | + | 2.59616e16i | 0.716286 | + | 1.24064i | ||||
\(151\) | −1.03481e16 | − | 1.79234e16i | −0.470470 | − | 0.814877i | 0.528960 | − | 0.848647i | \(-0.322582\pi\) |
−0.999430 | + | 0.0337696i | \(0.989249\pi\) | |||||||
\(152\) | −4.52814e15 | + | 7.84297e15i | −0.195927 | + | 0.339355i | ||||
\(153\) | −2.82699e16 | −1.16450 | ||||||||
\(154\) | 1.98214e15 | − | 1.56710e16i | 0.0777549 | − | 0.614741i | ||||
\(155\) | −4.47494e16 | −1.67224 | ||||||||
\(156\) | −1.84447e16 | + | 3.19471e16i | −0.656805 | + | 1.13762i | ||||
\(157\) | 2.30082e16 | + | 3.98514e16i | 0.780972 | + | 1.35268i | 0.931376 | + | 0.364059i | \(0.118609\pi\) |
−0.150403 | + | 0.988625i | \(0.548057\pi\) | |||||||
\(158\) | 1.60551e16 | + | 2.78082e16i | 0.519619 | + | 0.900006i | ||||
\(159\) | 1.09214e16 | − | 1.89164e16i | 0.337131 | − | 0.583929i | ||||
\(160\) | −8.76663e15 | −0.258186 | ||||||||
\(161\) | 6.28196e15 | + | 4.76978e15i | 0.176564 | + | 0.134061i | ||||
\(162\) | 4.29310e16 | 1.15188 | ||||||||
\(163\) | 5.30901e15 | − | 9.19548e15i | 0.136021 | − | 0.235596i | −0.789966 | − | 0.613151i | \(-0.789902\pi\) |
0.925987 | + | 0.377555i | \(0.123235\pi\) | |||||||
\(164\) | −1.72989e16 | − | 2.99626e16i | −0.423341 | − | 0.733248i | ||||
\(165\) | 4.89347e16 | + | 8.47573e16i | 1.14416 | + | 1.98174i | ||||
\(166\) | 3.76366e15 | − | 6.51885e15i | 0.0841008 | − | 0.145667i | ||||
\(167\) | 6.77764e16 | 1.44779 | 0.723894 | − | 0.689912i | \(-0.242351\pi\) | ||||
0.723894 | + | 0.689912i | \(0.242351\pi\) | |||||||
\(168\) | −2.85315e16 | + | 1.19884e16i | −0.582780 | + | 0.244874i | ||||
\(169\) | 5.93320e16 | 1.15915 | ||||||||
\(170\) | −1.46448e16 | + | 2.53656e16i | −0.273727 | + | 0.474109i | ||||
\(171\) | −6.80601e16 | − | 1.17884e17i | −1.21737 | − | 2.10854i | ||||
\(172\) | −3.52169e15 | − | 6.09975e15i | −0.0602959 | − | 0.104436i | ||||
\(173\) | 5.44024e16 | − | 9.42277e16i | 0.891810 | − | 1.54466i | 0.0541055 | − | 0.998535i | \(-0.482769\pi\) |
0.837704 | − | 0.546124i | \(-0.183897\pi\) | |||||||
\(174\) | −3.90306e16 | −0.612753 | ||||||||
\(175\) | 6.94634e16 | − | 2.91873e16i | 1.04465 | − | 0.438943i | ||||
\(176\) | −1.52033e16 | −0.219076 | ||||||||
\(177\) | −9.38595e15 | + | 1.62569e16i | −0.129622 | + | 0.224512i | ||||
\(178\) | −3.37301e16 | − | 5.84222e16i | −0.446547 | − | 0.773442i | ||||
\(179\) | 6.75423e16 | + | 1.16987e17i | 0.857390 | + | 1.48504i | 0.874410 | + | 0.485188i | \(0.161249\pi\) |
−0.0170203 | + | 0.999855i | \(0.505418\pi\) | |||||||
\(180\) | 6.58832e16 | − | 1.14113e17i | 0.802105 | − | 1.38929i | ||||
\(181\) | −1.67728e17 | −1.95892 | −0.979460 | − | 0.201640i | \(-0.935373\pi\) | ||||
−0.979460 | + | 0.201640i | \(0.935373\pi\) | |||||||
\(182\) | 7.38437e16 | + | 5.60681e16i | 0.827519 | + | 0.628320i | ||||
\(183\) | −4.67288e16 | −0.502576 | ||||||||
\(184\) | 3.79584e15 | − | 6.57459e15i | 0.0391899 | − | 0.0678789i | ||||
\(185\) | 9.22806e16 | + | 1.59835e17i | 0.914792 | + | 1.58447i | ||||
\(186\) | 7.60238e16 | + | 1.31677e17i | 0.723773 | + | 1.25361i | ||||
\(187\) | −2.53975e16 | + | 4.39898e16i | −0.232263 | + | 0.402290i | ||||
\(188\) | −1.80800e16 | −0.158860 | ||||||||
\(189\) | 3.17992e16 | − | 2.51409e17i | 0.268505 | − | 2.12284i | ||||
\(190\) | −1.41030e17 | −1.14462 | ||||||||
\(191\) | −4.10647e16 | + | 7.11261e16i | −0.320419 | + | 0.554982i | −0.980575 | − | 0.196147i | \(-0.937157\pi\) |
0.660156 | + | 0.751129i | \(0.270490\pi\) | |||||||
\(192\) | 1.48934e16 | + | 2.57962e16i | 0.111747 | + | 0.193551i | ||||
\(193\) | −2.13419e16 | − | 3.69652e16i | −0.154011 | − | 0.266755i | 0.778687 | − | 0.627412i | \(-0.215886\pi\) |
−0.932699 | + | 0.360657i | \(0.882553\pi\) | |||||||
\(194\) | −1.19062e16 | + | 2.06221e16i | −0.0826532 | + | 0.143160i | ||||
\(195\) | −5.74465e17 | −3.83711 | ||||||||
\(196\) | 2.08949e16 | + | 7.49250e16i | 0.134313 | + | 0.481622i | ||||
\(197\) | 1.82861e17 | 1.13142 | 0.565711 | − | 0.824603i | \(-0.308602\pi\) | ||||
0.565711 | + | 0.824603i | \(0.308602\pi\) | |||||||
\(198\) | 1.14257e17 | − | 1.97898e17i | 0.680601 | − | 1.17883i | ||||
\(199\) | 3.31199e16 | + | 5.73653e16i | 0.189972 | + | 0.329042i | 0.945241 | − | 0.326374i | \(-0.105827\pi\) |
−0.755268 | + | 0.655416i | \(0.772493\pi\) | |||||||
\(200\) | −3.62599e16 | − | 6.28039e16i | −0.200309 | − | 0.346946i | ||||
\(201\) | −1.74254e17 | + | 3.01817e17i | −0.927284 | + | 1.60610i | ||||
\(202\) | 1.25265e17 | 0.642237 | ||||||||
\(203\) | −1.23099e16 | + | 9.73238e16i | −0.0608183 | + | 0.480838i | ||||
\(204\) | 9.95192e16 | 0.473893 | ||||||||
\(205\) | 2.69390e17 | − | 4.66597e17i | 1.23660 | − | 2.14185i | ||||
\(206\) | 1.93384e16 | + | 3.34951e16i | 0.0855888 | + | 0.148244i | ||||
\(207\) | 5.70533e16 | + | 9.88191e16i | 0.243502 | + | 0.421758i | ||||
\(208\) | 4.46197e16 | − | 7.72835e16i | 0.183676 | − | 0.318135i | ||||
\(209\) | −2.44579e17 | −0.971230 | ||||||||
\(210\) | −3.83835e17 | − | 2.91439e17i | −1.47062 | − | 1.11661i | ||||
\(211\) | 7.29432e16 | 0.269691 | 0.134846 | − | 0.990867i | \(-0.456946\pi\) | ||||
0.134846 | + | 0.990867i | \(0.456946\pi\) | |||||||
\(212\) | −2.64200e16 | + | 4.57608e16i | −0.0942788 | + | 0.163296i | ||||
\(213\) | 1.64641e17 | + | 2.85167e17i | 0.567141 | + | 0.982317i | ||||
\(214\) | 1.02039e17 | + | 1.76737e17i | 0.339362 | + | 0.587792i | ||||
\(215\) | 5.48421e16 | − | 9.49893e16i | 0.176127 | − | 0.305061i | ||||
\(216\) | −2.43906e17 | −0.756517 | ||||||||
\(217\) | 3.52317e17 | − | 1.48038e17i | 1.05557 | − | 0.443531i | ||||
\(218\) | −1.47262e17 | −0.426252 | ||||||||
\(219\) | −5.79270e17 | + | 1.00333e18i | −1.62013 | + | 2.80615i | ||||
\(220\) | −1.18378e17 | − | 2.05037e17i | −0.319964 | − | 0.554195i | ||||
\(221\) | −1.49076e17 | − | 2.58208e17i | −0.389463 | − | 0.674570i | ||||
\(222\) | 3.13547e17 | − | 5.43079e17i | 0.791872 | − | 1.37156i | ||||
\(223\) | −9.19576e16 | −0.224544 | −0.112272 | − | 0.993678i | \(-0.535813\pi\) | ||||
−0.112272 | + | 0.993678i | \(0.535813\pi\) | |||||||
\(224\) | 6.90207e16 | − | 2.90013e16i | 0.162974 | − | 0.0684789i | ||||
\(225\) | 1.09001e18 | 2.48920 | ||||||||
\(226\) | −1.69975e16 | + | 2.94405e16i | −0.0375467 | + | 0.0650327i | ||||
\(227\) | −1.25879e17 | − | 2.18029e17i | −0.269005 | − | 0.465930i | 0.699600 | − | 0.714534i | \(-0.253361\pi\) |
−0.968605 | + | 0.248604i | \(0.920028\pi\) | |||||||
\(228\) | 2.39593e17 | + | 4.14988e17i | 0.495409 | + | 0.858073i | ||||
\(229\) | 2.22352e17 | − | 3.85126e17i | 0.444914 | − | 0.770613i | −0.553133 | − | 0.833093i | \(-0.686568\pi\) |
0.998046 | + | 0.0624803i | \(0.0199011\pi\) | |||||||
\(230\) | 1.18223e17 | 0.228951 | ||||||||
\(231\) | −6.65658e17 | − | 5.05421e17i | −1.24785 | − | 0.947466i | ||||
\(232\) | 9.44191e16 | 0.171356 | ||||||||
\(233\) | −1.98864e17 | + | 3.44443e17i | −0.349452 | + | 0.605269i | −0.986152 | − | 0.165843i | \(-0.946966\pi\) |
0.636700 | + | 0.771111i | \(0.280299\pi\) | |||||||
\(234\) | 6.70654e17 | + | 1.16161e18i | 1.14125 | + | 1.97670i | ||||
\(235\) | −1.40777e17 | − | 2.43833e17i | −0.232019 | − | 0.401869i | ||||
\(236\) | 2.27056e16 | − | 3.93273e16i | 0.0362488 | − | 0.0627847i | ||||
\(237\) | 1.69902e18 | 2.62776 | ||||||||
\(238\) | 3.13875e16 | − | 2.48154e17i | 0.0470359 | − | 0.371872i | ||||
\(239\) | 3.24811e17 | 0.471680 | 0.235840 | − | 0.971792i | \(-0.424216\pi\) | ||||
0.235840 | + | 0.971792i | \(0.424216\pi\) | |||||||
\(240\) | −2.31930e17 | + | 4.01715e17i | −0.326417 | + | 0.565371i | ||||
\(241\) | −3.18834e17 | − | 5.52236e17i | −0.434947 | − | 0.753350i | 0.562344 | − | 0.826903i | \(-0.309900\pi\) |
−0.997291 | + | 0.0735529i | \(0.976566\pi\) | |||||||
\(242\) | 6.20490e16 | + | 1.07472e17i | 0.0820577 | + | 0.142128i | ||||
\(243\) | 3.01371e17 | − | 5.21990e17i | 0.386416 | − | 0.669292i | ||||
\(244\) | 1.13042e17 | 0.140545 | ||||||||
\(245\) | −8.47769e17 | + | 8.65186e17i | −1.02219 | + | 1.04319i | ||||
\(246\) | −1.83064e18 | −2.14087 | ||||||||
\(247\) | 7.17805e17 | − | 1.24328e18i | 0.814291 | − | 1.41039i | ||||
\(248\) | −1.83910e17 | − | 3.18541e17i | −0.202403 | − | 0.350572i | ||||
\(249\) | −1.99143e17 | − | 3.44926e17i | −0.212652 | − | 0.368325i | ||||
\(250\) | 6.63375e16 | − | 1.14900e17i | 0.0687399 | − | 0.119061i | ||||
\(251\) | −1.50514e18 | −1.51365 | −0.756823 | − | 0.653620i | \(-0.773250\pi\) | ||||
−0.756823 | + | 0.653620i | \(0.773250\pi\) | |||||||
\(252\) | −1.41204e17 | + | 1.11638e18i | −0.137830 | + | 1.08970i | ||||
\(253\) | 2.05025e17 | 0.194269 | ||||||||
\(254\) | −2.68185e17 | + | 4.64510e17i | −0.246707 | + | 0.427309i | ||||
\(255\) | 7.74889e17 | + | 1.34215e18i | 0.692131 | + | 1.19881i | ||||
\(256\) | −3.60288e16 | − | 6.24037e16i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −2.22116e17 | + | 3.84715e17i | −0.187103 | + | 0.324072i | −0.944283 | − | 0.329134i | \(-0.893243\pi\) |
0.757180 | + | 0.653206i | \(0.226576\pi\) | |||||||
\(258\) | −3.72680e17 | −0.304922 | ||||||||
\(259\) | −1.25529e18 | − | 9.53120e17i | −0.997692 | − | 0.757529i | ||||
\(260\) | 1.38969e18 | 1.07305 | ||||||||
\(261\) | −7.09581e17 | + | 1.22903e18i | −0.532351 | + | 0.922060i | ||||
\(262\) | −2.60899e17 | − | 4.51891e17i | −0.190201 | − | 0.329438i | ||||
\(263\) | 5.98835e17 | + | 1.03721e18i | 0.424267 | + | 0.734851i | 0.996352 | − | 0.0853429i | \(-0.0271986\pi\) |
−0.572085 | + | 0.820194i | \(0.693865\pi\) | |||||||
\(264\) | −4.02220e17 | + | 6.96666e17i | −0.276971 | + | 0.479728i | ||||
\(265\) | −8.22859e17 | −0.550784 | ||||||||
\(266\) | 1.11035e18 | − | 4.66549e17i | 0.722516 | − | 0.303588i | ||||
\(267\) | −3.56945e18 | −2.25823 | ||||||||
\(268\) | 4.21539e17 | − | 7.30128e17i | 0.259315 | − | 0.449146i | ||||
\(269\) | −7.98712e17 | − | 1.38341e18i | −0.477802 | − | 0.827578i | 0.521874 | − | 0.853023i | \(-0.325233\pi\) |
−0.999676 | + | 0.0254447i | \(0.991900\pi\) | |||||||
\(270\) | −1.89913e18 | − | 3.28939e18i | −1.10491 | − | 1.91376i | ||||
\(271\) | 3.26988e17 | − | 5.66360e17i | 0.185039 | − | 0.320496i | −0.758551 | − | 0.651614i | \(-0.774092\pi\) |
0.943590 | + | 0.331117i | \(0.107426\pi\) | |||||||
\(272\) | −2.40748e17 | −0.132524 | ||||||||
\(273\) | 4.52283e18 | − | 1.90041e18i | 2.42209 | − | 1.01772i | ||||
\(274\) | 1.14894e17 | 0.0598642 | ||||||||
\(275\) | 9.79254e17 | − | 1.69612e18i | 0.496478 | − | 0.859926i | ||||
\(276\) | −2.00846e17 | − | 3.47875e17i | −0.0990934 | − | 0.171635i | ||||
\(277\) | 1.09837e18 | + | 1.90244e18i | 0.527415 | + | 0.913509i | 0.999489 | + | 0.0319507i | \(0.0101720\pi\) |
−0.472075 | + | 0.881559i | \(0.656495\pi\) | |||||||
\(278\) | −1.05207e18 | + | 1.82225e18i | −0.491712 | + | 0.851670i | ||||
\(279\) | 5.52849e18 | 2.51522 | ||||||||
\(280\) | 9.28538e17 | + | 7.05022e17i | 0.411258 | + | 0.312261i | ||||
\(281\) | −7.38264e17 | −0.318357 | −0.159178 | − | 0.987250i | \(-0.550885\pi\) | ||||
−0.159178 | + | 0.987250i | \(0.550885\pi\) | |||||||
\(282\) | −4.78326e17 | + | 8.28486e17i | −0.200843 | + | 0.347870i | ||||
\(283\) | −5.73433e17 | − | 9.93216e17i | −0.234469 | − | 0.406111i | 0.724650 | − | 0.689118i | \(-0.242002\pi\) |
−0.959118 | + | 0.283006i | \(0.908668\pi\) | |||||||
\(284\) | −3.98284e17 | − | 6.89849e17i | −0.158601 | − | 0.274705i | ||||
\(285\) | −3.73111e18 | + | 6.46247e18i | −1.44711 | + | 2.50647i | ||||
\(286\) | 2.41005e18 | 0.910500 | ||||||||
\(287\) | −5.77369e17 | + | 4.56476e18i | −0.212490 | + | 1.67998i | ||||
\(288\) | 1.08306e18 | 0.388337 | ||||||||
\(289\) | 1.02904e18 | − | 1.78234e18i | 0.359499 | − | 0.622670i | ||||
\(290\) | 7.35178e17 | + | 1.27337e18i | 0.250269 | + | 0.433479i | ||||
\(291\) | 6.29981e17 | + | 1.09116e18i | 0.208992 | + | 0.361985i | ||||
\(292\) | 1.40132e18 | − | 2.42715e18i | 0.453070 | − | 0.784740i | ||||
\(293\) | −2.89255e18 | −0.911537 | −0.455768 | − | 0.890098i | \(-0.650635\pi\) | ||||
−0.455768 | + | 0.890098i | \(0.650635\pi\) | |||||||
\(294\) | 3.98610e18 | + | 1.02475e18i | 1.22446 | + | 0.314784i | ||||
\(295\) | 7.07174e17 | 0.211768 | ||||||||
\(296\) | −7.58503e17 | + | 1.31377e18i | −0.221447 | + | 0.383557i | ||||
\(297\) | −3.29353e18 | − | 5.70456e18i | −0.937536 | − | 1.62386i | ||||
\(298\) | −2.67154e17 | − | 4.62725e17i | −0.0741550 | − | 0.128440i | ||||
\(299\) | −6.01720e17 | + | 1.04221e18i | −0.162877 | + | 0.282112i | ||||
\(300\) | −3.83717e18 | −1.01298 | ||||||||
\(301\) | −1.17540e17 | + | 9.29288e17i | −0.0302647 | + | 0.239277i | ||||
\(302\) | 2.64910e18 | 0.665344 | ||||||||
\(303\) | 3.31402e18 | − | 5.74006e18i | 0.811962 | − | 1.40636i | ||||
\(304\) | −5.79602e17 | − | 1.00390e18i | −0.138541 | − | 0.239960i | ||||
\(305\) | 8.80182e17 | + | 1.52452e18i | 0.205269 | + | 0.355537i | ||||
\(306\) | 1.80927e18 | − | 3.13375e18i | 0.411712 | − | 0.713106i | ||||
\(307\) | 6.96752e18 | 1.54718 | 0.773589 | − | 0.633687i | \(-0.218459\pi\) | ||||
0.773589 | + | 0.633687i | \(0.218459\pi\) | |||||||
\(308\) | 1.61030e18 | + | 1.22267e18i | 0.348960 | + | 0.264959i | ||||
\(309\) | 2.04647e18 | 0.432830 | ||||||||
\(310\) | 2.86396e18 | − | 4.96053e18i | 0.591228 | − | 1.02404i | ||||
\(311\) | −3.71126e18 | − | 6.42810e18i | −0.747857 | − | 1.29533i | −0.948848 | − | 0.315734i | \(-0.897749\pi\) |
0.200990 | − | 0.979593i | \(-0.435584\pi\) | |||||||
\(312\) | −2.36092e18 | − | 4.08923e18i | −0.464431 | − | 0.804419i | ||||
\(313\) | −1.08696e18 | + | 1.88268e18i | −0.208753 | + | 0.361570i | −0.951322 | − | 0.308199i | \(-0.900274\pi\) |
0.742569 | + | 0.669769i | \(0.233607\pi\) | |||||||
\(314\) | −5.89011e18 | −1.10446 | ||||||||
\(315\) | −1.61553e19 | + | 6.78816e18i | −2.95791 | + | 1.24286i | ||||
\(316\) | −4.11010e18 | −0.734852 | ||||||||
\(317\) | −3.19571e17 | + | 5.53514e17i | −0.0557986 | + | 0.0966460i | −0.892575 | − | 0.450898i | \(-0.851104\pi\) |
0.836777 | + | 0.547544i | \(0.184437\pi\) | |||||||
\(318\) | 1.39794e18 | + | 2.42130e18i | 0.238388 | + | 0.412900i | ||||
\(319\) | 1.27497e18 | + | 2.20831e18i | 0.212358 | + | 0.367815i | ||||
\(320\) | 5.61064e17 | − | 9.71792e17i | 0.0912825 | − | 0.158106i | ||||
\(321\) | 1.07982e19 | 1.71618 | ||||||||
\(322\) | −9.30781e17 | + | 3.91098e17i | −0.144520 | + | 0.0607248i | ||||
\(323\) | −3.87295e18 | −0.587521 | ||||||||
\(324\) | −2.74758e18 | + | 4.75896e18i | −0.407252 | + | 0.705381i | ||||
\(325\) | 5.74795e18 | + | 9.95574e18i | 0.832506 | + | 1.44194i | ||||
\(326\) | 6.79553e17 | + | 1.17702e18i | 0.0961815 | + | 0.166591i | ||||
\(327\) | −3.89597e18 | + | 6.74801e18i | −0.538899 | + | 0.933400i | ||||
\(328\) | 4.42852e18 | 0.598694 | ||||||||
\(329\) | 1.91499e18 | + | 1.45402e18i | 0.253045 | + | 0.192132i | ||||
\(330\) | −1.25273e19 | −1.61809 | ||||||||
\(331\) | −2.80383e18 | + | 4.85638e18i | −0.354031 | + | 0.613200i | −0.986952 | − | 0.161017i | \(-0.948523\pi\) |
0.632920 | + | 0.774217i | \(0.281856\pi\) | |||||||
\(332\) | 4.81749e17 | + | 8.34413e17i | 0.0594682 | + | 0.103002i | ||||
\(333\) | −1.14007e19 | − | 1.97465e19i | −1.37594 | − | 2.38319i | ||||
\(334\) | −4.33769e18 | + | 7.51309e18i | −0.511870 | + | 0.886585i | ||||
\(335\) | 1.31290e19 | 1.51494 | ||||||||
\(336\) | 4.97083e17 | − | 3.93001e18i | 0.0560898 | − | 0.443454i | ||||
\(337\) | −1.36093e19 | −1.50180 | −0.750901 | − | 0.660415i | \(-0.770380\pi\) | ||||
−0.750901 | + | 0.660415i | \(0.770380\pi\) | |||||||
\(338\) | −3.79725e18 | + | 6.57703e18i | −0.409821 | + | 0.709830i | ||||
\(339\) | 8.99372e17 | + | 1.55776e18i | 0.0949383 | + | 0.164438i | ||||
\(340\) | −1.87454e18 | − | 3.24680e18i | −0.193554 | − | 0.335246i | ||||
\(341\) | 4.96677e18 | − | 8.60269e18i | 0.501667 | − | 0.868913i | ||||
\(342\) | 1.74234e19 | 1.72162 | ||||||||
\(343\) | 3.81242e18 | − | 9.61625e18i | 0.368549 | − | 0.929608i | ||||
\(344\) | 9.01553e17 | 0.0852713 | ||||||||
\(345\) | 3.12770e18 | − | 5.41734e18i | 0.289456 | − | 0.501352i | ||||
\(346\) | 6.96351e18 | + | 1.20611e19i | 0.630605 | + | 1.09224i | ||||
\(347\) | −1.41536e18 | − | 2.45147e18i | −0.125428 | − | 0.217248i | 0.796472 | − | 0.604675i | \(-0.206697\pi\) |
−0.921900 | + | 0.387427i | \(0.873364\pi\) | |||||||
\(348\) | 2.49796e18 | − | 4.32659e18i | 0.216641 | − | 0.375233i | ||||
\(349\) | −2.05252e19 | −1.74220 | −0.871098 | − | 0.491110i | \(-0.836591\pi\) | ||||
−0.871098 | + | 0.491110i | \(0.836591\pi\) | |||||||
\(350\) | −1.21021e18 | + | 9.56809e18i | −0.100543 | + | 0.794904i | ||||
\(351\) | 3.86642e19 | 3.14416 | ||||||||
\(352\) | 9.73014e17 | − | 1.68531e18i | 0.0774549 | − | 0.134156i | ||||
\(353\) | −9.21441e18 | − | 1.59598e19i | −0.718054 | − | 1.24371i | −0.961770 | − | 0.273860i | \(-0.911700\pi\) |
0.243715 | − | 0.969847i | \(-0.421634\pi\) | |||||||
\(354\) | −1.20140e18 | − | 2.08089e18i | −0.0916566 | − | 0.158754i | ||||
\(355\) | 6.20235e18 | − | 1.07428e19i | 0.463280 | − | 0.802424i | ||||
\(356\) | 8.63489e18 | 0.631513 | ||||||||
\(357\) | −1.05408e19 | − | 8.00344e18i | −0.754853 | − | 0.573146i | ||||
\(358\) | −1.72908e19 | −1.21253 | ||||||||
\(359\) | −7.27400e18 | + | 1.25989e19i | −0.499534 | + | 0.865218i | −1.00000 | 0.000538108i | \(-0.999829\pi\) | |
0.500466 | + | 0.865756i | \(0.333162\pi\) | |||||||
\(360\) | 8.43306e18 | + | 1.46065e19i | 0.567174 | + | 0.982374i | ||||
\(361\) | −1.73361e18 | − | 3.00271e18i | −0.114195 | − | 0.197792i | ||||
\(362\) | 1.07346e19 | − | 1.85929e19i | 0.692583 | − | 1.19959i | ||||
\(363\) | 6.56628e18 | 0.414973 | ||||||||
\(364\) | −1.09412e19 | + | 4.59731e18i | −0.677338 | + | 0.284605i | ||||
\(365\) | 4.36445e19 | 2.64687 | ||||||||
\(366\) | 2.99064e18 | − | 5.17994e18i | 0.177687 | − | 0.307763i | ||||
\(367\) | 8.75092e18 | + | 1.51570e19i | 0.509399 | + | 0.882306i | 0.999941 | + | 0.0108878i | \(0.00346576\pi\) |
−0.490541 | + | 0.871418i | \(0.663201\pi\) | |||||||
\(368\) | 4.85868e17 | + | 8.41548e17i | 0.0277115 | + | 0.0479977i | ||||
\(369\) | −3.32814e19 | + | 5.76450e19i | −1.85996 | + | 3.22154i | ||||
\(370\) | −2.36238e19 | −1.29371 | ||||||||
\(371\) | 6.47847e18 | − | 2.72214e18i | 0.347671 | − | 0.146085i | ||||
\(372\) | −1.94621e19 | −1.02357 | ||||||||
\(373\) | 1.67998e19 | − | 2.90981e19i | 0.865941 | − | 1.49985i | −0.000169634 | − | 1.00000i | \(-0.500054\pi\) |
0.866110 | − | 0.499853i | \(-0.166613\pi\) | |||||||
\(374\) | −3.25088e18 | − | 5.63069e18i | −0.164234 | − | 0.284462i | ||||
\(375\) | −3.51006e18 | − | 6.07959e18i | −0.173812 | − | 0.301051i | ||||
\(376\) | 1.15712e18 | − | 2.00420e18i | 0.0561656 | − | 0.0972817i | ||||
\(377\) | −1.49674e19 | −0.712174 | ||||||||
\(378\) | 2.58339e19 | + | 1.96152e19i | 1.20504 | + | 0.914963i | ||||
\(379\) | 6.94803e18 | 0.317737 | 0.158868 | − | 0.987300i | \(-0.449215\pi\) | ||||
0.158868 | + | 0.987300i | \(0.449215\pi\) | |||||||
\(380\) | 9.02595e18 | − | 1.56334e19i | 0.404684 | − | 0.700933i | ||||
\(381\) | 1.41902e19 | + | 2.45782e19i | 0.623809 | + | 1.08047i | ||||
\(382\) | −5.25628e18 | − | 9.10414e18i | −0.226570 | − | 0.392432i | ||||
\(383\) | 5.06565e18 | − | 8.77396e18i | 0.214113 | − | 0.370855i | −0.738884 | − | 0.673832i | \(-0.764647\pi\) |
0.952998 | + | 0.302977i | \(0.0979804\pi\) | |||||||
\(384\) | −3.81272e18 | −0.158034 | ||||||||
\(385\) | −3.95099e18 | + | 3.12371e19i | −0.160602 | + | 1.26974i | ||||
\(386\) | 5.46352e18 | 0.217805 | ||||||||
\(387\) | −6.77538e18 | + | 1.17353e19i | −0.264912 | + | 0.458841i | ||||
\(388\) | −1.52399e18 | − | 2.63963e18i | −0.0584446 | − | 0.101229i | ||||
\(389\) | −2.73787e18 | − | 4.74213e18i | −0.102989 | − | 0.178382i | 0.809926 | − | 0.586532i | \(-0.199507\pi\) |
−0.912915 | + | 0.408150i | \(0.866174\pi\) | |||||||
\(390\) | 3.67658e19 | − | 6.36802e19i | 1.35662 | − | 2.34974i | ||||
\(391\) | 3.24661e18 | 0.117518 | ||||||||
\(392\) | −9.64281e18 | − | 2.47898e18i | −0.342419 | − | 0.0880293i | ||||
\(393\) | −2.76095e19 | −0.961864 | ||||||||
\(394\) | −1.17031e19 | + | 2.02704e19i | −0.400018 | + | 0.692852i | ||||
\(395\) | −3.20026e19 | − | 5.54302e19i | −1.07327 | − | 1.85895i | ||||
\(396\) | 1.46248e19 | + | 2.53310e19i | 0.481257 | + | 0.833562i | ||||
\(397\) | −2.90981e19 | + | 5.03993e19i | −0.939584 | + | 1.62741i | −0.173335 | + | 0.984863i | \(0.555454\pi\) |
−0.766249 | + | 0.642544i | \(0.777879\pi\) | |||||||
\(398\) | −8.47869e18 | −0.268662 | ||||||||
\(399\) | 7.99667e18 | − | 6.32228e19i | 0.248664 | − | 1.96597i | ||||
\(400\) | 9.28253e18 | 0.283280 | ||||||||
\(401\) | 4.10953e18 | − | 7.11791e18i | 0.123086 | − | 0.213192i | −0.797897 | − | 0.602794i | \(-0.794054\pi\) |
0.920983 | + | 0.389602i | \(0.127388\pi\) | |||||||
\(402\) | −2.23045e19 | − | 3.86326e19i | −0.655688 | − | 1.13569i | ||||
\(403\) | 2.91535e19 | + | 5.04954e19i | 0.841208 | + | 1.45701i | ||||
\(404\) | −8.01698e18 | + | 1.38858e19i | −0.227065 | + | 0.393288i | ||||
\(405\) | −8.55744e19 | −2.37920 | ||||||||
\(406\) | −1.00006e19 | − | 7.59329e18i | −0.272949 | − | 0.207245i | ||||
\(407\) | −4.09691e19 | −1.09774 | ||||||||
\(408\) | −6.36923e18 | + | 1.10318e19i | −0.167547 | + | 0.290199i | ||||
\(409\) | −2.19395e19 | − | 3.80003e19i | −0.566632 | − | 0.981436i | −0.996896 | − | 0.0787326i | \(-0.974913\pi\) |
0.430263 | − | 0.902703i | \(-0.358421\pi\) | |||||||
\(410\) | 3.44819e19 | + | 5.97245e19i | 0.874405 | + | 1.51451i | ||||
\(411\) | 3.03963e18 | − | 5.26480e18i | 0.0756846 | − | 0.131090i | ||||
\(412\) | −4.95063e18 | −0.121041 | ||||||||
\(413\) | −5.56766e18 | + | 2.33943e18i | −0.133674 | + | 0.0561675i | ||||
\(414\) | −1.46056e19 | −0.344364 | ||||||||
\(415\) | −7.50211e18 | + | 1.29940e19i | −0.173709 | + | 0.300873i | ||||
\(416\) | 5.71132e18 | + | 9.89229e18i | 0.129878 | + | 0.224956i | ||||
\(417\) | 5.56675e19 | + | 9.64189e19i | 1.24331 | + | 2.15348i | ||||
\(418\) | 1.56531e19 | − | 2.71119e19i | 0.343382 | − | 0.594755i | ||||
\(419\) | 5.20972e19 | 1.12256 | 0.561279 | − | 0.827626i | \(-0.310309\pi\) | ||||
0.561279 | + | 0.827626i | \(0.310309\pi\) | |||||||
\(420\) | 5.68718e19 | − | 2.38965e19i | 1.20372 | − | 0.505784i | ||||
\(421\) | −5.70346e18 | −0.118583 | −0.0592915 | − | 0.998241i | \(-0.518884\pi\) | ||||
−0.0592915 | + | 0.998241i | \(0.518884\pi\) | |||||||
\(422\) | −4.66837e18 | + | 8.08585e18i | −0.0953502 | + | 0.165151i | ||||
\(423\) | 1.73921e19 | + | 3.01240e19i | 0.348979 | + | 0.604449i | ||||
\(424\) | −3.38176e18 | − | 5.85738e18i | −0.0666652 | − | 0.115467i | ||||
\(425\) | 1.55067e19 | − | 2.68583e19i | 0.300332 | − | 0.520190i | ||||
\(426\) | −4.21481e19 | −0.802058 | ||||||||
\(427\) | −1.19731e19 | − | 9.09096e18i | −0.223871 | − | 0.169981i | ||||
\(428\) | −2.61220e19 | −0.479930 | ||||||||
\(429\) | 6.37603e19 | − | 1.10436e20i | 1.15112 | − | 1.99380i | ||||
\(430\) | 7.01979e18 | + | 1.21586e19i | 0.124541 | + | 0.215711i | ||||
\(431\) | −1.76694e19 | − | 3.06044e19i | −0.308066 | − | 0.533585i | 0.669874 | − | 0.742475i | \(-0.266348\pi\) |
−0.977939 | + | 0.208890i | \(0.933015\pi\) | |||||||
\(432\) | 1.56100e19 | − | 2.70373e19i | 0.267469 | − | 0.463270i | ||||
\(433\) | −9.85742e18 | −0.165998 | −0.0829992 | − | 0.996550i | \(-0.526450\pi\) | ||||
−0.0829992 | + | 0.996550i | \(0.526450\pi\) | |||||||
\(434\) | −6.13817e18 | + | 4.85292e19i | −0.101593 | + | 0.803213i | ||||
\(435\) | 7.77996e19 | 1.26563 | ||||||||
\(436\) | 9.42476e18 | − | 1.63242e19i | 0.150703 | − | 0.261025i | ||||
\(437\) | 7.81625e18 | + | 1.35381e19i | 0.122854 | + | 0.212789i | ||||
\(438\) | −7.41466e19 | − | 1.28426e20i | −1.14561 | − | 1.98425i | ||||
\(439\) | −3.78985e19 | + | 6.56421e19i | −0.575622 | + | 0.997007i | 0.420351 | + | 0.907361i | \(0.361907\pi\) |
−0.995974 | + | 0.0896457i | \(0.971427\pi\) | |||||||
\(440\) | 3.03048e19 | 0.452498 | ||||||||
\(441\) | 1.04736e20 | − | 1.06888e20i | 1.53747 | − | 1.56906i | ||||
\(442\) | 3.81635e19 | 0.550784 | ||||||||
\(443\) | −4.19577e19 | + | 7.26728e19i | −0.595365 | + | 1.03120i | 0.398130 | + | 0.917329i | \(0.369659\pi\) |
−0.993495 | + | 0.113874i | \(0.963674\pi\) | |||||||
\(444\) | 4.01340e19 | + | 6.95141e19i | 0.559938 | + | 0.969841i | ||||
\(445\) | 6.72341e19 | + | 1.16453e20i | 0.922337 | + | 1.59754i | ||||
\(446\) | 5.88528e18 | − | 1.01936e19i | 0.0793882 | − | 0.137504i | ||||
\(447\) | −2.82714e19 | −0.375008 | ||||||||
\(448\) | −1.20250e18 | + | 9.50711e18i | −0.0156855 | + | 0.124012i | ||||
\(449\) | 1.01408e20 | 1.30084 | 0.650422 | − | 0.759573i | \(-0.274592\pi\) | ||||
0.650422 | + | 0.759573i | \(0.274592\pi\) | |||||||
\(450\) | −6.97603e19 | + | 1.20828e20i | −0.880065 | + | 1.52432i | ||||
\(451\) | 5.97996e19 | + | 1.03576e20i | 0.741949 | + | 1.28509i | ||||
\(452\) | −2.17568e18 | − | 3.76838e18i | −0.0265495 | − | 0.0459851i | ||||
\(453\) | 7.00847e19 | − | 1.21390e20i | 0.841176 | − | 1.45696i | ||||
\(454\) | 3.22251e19 | 0.380430 | ||||||||
\(455\) | −1.47193e20 | − | 1.11761e20i | −1.70923 | − | 1.29779i | ||||
\(456\) | −6.13359e19 | −0.700614 | ||||||||
\(457\) | −7.11523e19 | + | 1.23239e20i | −0.799498 | + | 1.38477i | 0.120445 | + | 0.992720i | \(0.461568\pi\) |
−0.919943 | + | 0.392052i | \(0.871765\pi\) | |||||||
\(458\) | 2.84611e19 | + | 4.92961e19i | 0.314601 | + | 0.544906i | ||||
\(459\) | −5.21536e19 | − | 9.03327e19i | −0.567138 | − | 0.982313i | ||||
\(460\) | −7.56625e18 | + | 1.31051e19i | −0.0809463 | + | 0.140203i | ||||
\(461\) | −6.23798e19 | −0.656579 | −0.328290 | − | 0.944577i | \(-0.606472\pi\) | ||||
−0.328290 | + | 0.944577i | \(0.606472\pi\) | |||||||
\(462\) | 9.86287e19 | − | 4.14420e19i | 1.02138 | − | 0.429167i | ||||
\(463\) | 1.20990e19 | 0.123280 | 0.0616398 | − | 0.998098i | \(-0.480367\pi\) | ||||
0.0616398 | + | 0.998098i | \(0.480367\pi\) | |||||||
\(464\) | −6.04282e18 | + | 1.04665e19i | −0.0605836 | + | 0.104934i | ||||
\(465\) | −1.51538e20 | − | 2.62472e20i | −1.49494 | − | 2.58932i | ||||
\(466\) | −2.54546e19 | − | 4.40887e19i | −0.247100 | − | 0.427990i | ||||
\(467\) | 9.17533e19 | − | 1.58921e20i | 0.876486 | − | 1.51812i | 0.0213143 | − | 0.999773i | \(-0.493215\pi\) |
0.855172 | − | 0.518345i | \(-0.173452\pi\) | |||||||
\(468\) | −1.71687e20 | −1.61397 | ||||||||
\(469\) | −1.03366e20 | + | 4.34326e19i | −0.956272 | + | 0.401809i | ||||
\(470\) | 3.60390e19 | 0.328124 | ||||||||
\(471\) | −1.55829e20 | + | 2.69903e20i | −1.39634 | + | 2.41853i | ||||
\(472\) | 2.90632e18 | + | 5.03389e18i | 0.0256318 | + | 0.0443955i | ||||
\(473\) | 1.21739e19 | + | 2.10858e19i | 0.105675 | + | 0.183034i | ||||
\(474\) | −1.08737e20 | + | 1.88338e20i | −0.929052 | + | 1.60917i | ||||
\(475\) | 1.49330e20 | 1.25587 | ||||||||
\(476\) | 2.54994e19 | + | 1.93612e19i | 0.211095 | + | 0.160280i | ||||
\(477\) | 1.01659e20 | 0.828433 | ||||||||
\(478\) | −2.07879e19 | + | 3.60058e19i | −0.166764 | + | 0.288844i | ||||
\(479\) | −3.04944e19 | − | 5.28179e19i | −0.240826 | − | 0.417124i | 0.720123 | − | 0.693846i | \(-0.244085\pi\) |
−0.960950 | + | 0.276722i | \(0.910752\pi\) | |||||||
\(480\) | −2.96871e19 | − | 5.14195e19i | −0.230812 | − | 0.399778i | ||||
\(481\) | 1.20239e20 | − | 2.08259e20i | 0.920356 | − | 1.59410i | ||||
\(482\) | 8.16214e19 | 0.615108 | ||||||||
\(483\) | −6.70343e18 | + | 5.29983e19i | −0.0497386 | + | 0.393241i | ||||
\(484\) | −1.58845e19 | −0.116047 | ||||||||
\(485\) | 2.37326e19 | − | 4.11061e19i | 0.170719 | − | 0.295694i | ||||
\(486\) | 3.85755e19 | + | 6.68148e19i | 0.273237 | + | 0.473261i | ||||
\(487\) | −7.10973e19 | − | 1.23144e20i | −0.495891 | − | 0.858908i | 0.504098 | − | 0.863646i | \(-0.331825\pi\) |
−0.999989 | + | 0.00473860i | \(0.998492\pi\) | |||||||
\(488\) | −7.23469e18 | + | 1.25308e19i | −0.0496902 | + | 0.0860660i | ||||
\(489\) | 7.19132e19 | 0.486398 | ||||||||
\(490\) | −4.16498e19 | − | 1.49348e20i | −0.277423 | − | 0.994785i | ||||
\(491\) | −2.46867e20 | −1.61939 | −0.809696 | − | 0.586850i | \(-0.800368\pi\) | ||||
−0.809696 | + | 0.586850i | \(0.800368\pi\) | |||||||
\(492\) | 1.17161e20 | − | 2.02929e20i | 0.756912 | − | 1.31101i | ||||
\(493\) | 2.01893e19 | + | 3.49690e19i | 0.128461 | + | 0.222500i | ||||
\(494\) | 9.18791e19 | + | 1.59139e20i | 0.575791 | + | 0.997298i | ||||
\(495\) | −2.27748e20 | + | 3.94471e20i | −1.40577 | + | 2.43487i | ||||
\(496\) | 4.70809e19 | 0.286241 | ||||||||
\(497\) | −1.32931e19 | + | 1.05097e20i | −0.0796076 | + | 0.629389i | ||||
\(498\) | 5.09806e19 | 0.300736 | ||||||||
\(499\) | 1.37266e20 | − | 2.37751e20i | 0.797642 | − | 1.38156i | −0.123506 | − | 0.992344i | \(-0.539414\pi\) |
0.921148 | − | 0.389212i | \(-0.127253\pi\) | |||||||
\(500\) | 8.49120e18 | + | 1.47072e19i | 0.0486065 | + | 0.0841889i | ||||
\(501\) | 2.29516e20 | + | 3.97533e20i | 1.29429 | + | 2.24177i | ||||
\(502\) | 9.63290e19 | − | 1.66847e20i | 0.535155 | − | 0.926915i | ||||
\(503\) | −2.14622e20 | −1.17466 | −0.587332 | − | 0.809346i | \(-0.699822\pi\) | ||||
−0.587332 | + | 0.809346i | \(0.699822\pi\) | |||||||
\(504\) | −1.14715e20 | − | 8.71008e19i | −0.618572 | − | 0.469670i | ||||
\(505\) | −2.49691e20 | −1.32653 | ||||||||
\(506\) | −1.31216e19 | + | 2.27273e19i | −0.0686844 | + | 0.118965i | ||||
\(507\) | 2.00920e20 | + | 3.48004e20i | 1.03625 | + | 1.79484i | ||||
\(508\) | −3.43277e19 | − | 5.94573e19i | −0.174448 | − | 0.302153i | ||||
\(509\) | −1.83134e19 | + | 3.17198e19i | −0.0917035 | + | 0.158835i | −0.908228 | − | 0.418476i | \(-0.862565\pi\) |
0.816525 | + | 0.577311i | \(0.195898\pi\) | |||||||
\(510\) | −1.98372e20 | −0.978821 | ||||||||
\(511\) | −3.43618e20 | + | 1.44382e20i | −1.67078 | + | 0.702032i | ||||
\(512\) | 9.22337e18 | 0.0441942 | ||||||||
\(513\) | 2.51121e20 | − | 4.34954e20i | 1.18577 | − | 2.05382i | ||||
\(514\) | −2.84308e19 | − | 4.92436e19i | −0.132302 | − | 0.229153i | ||||
\(515\) | −3.85473e19 | − | 6.67658e19i | −0.176783 | − | 0.306196i | ||||
\(516\) | 2.38515e19 | − | 4.13120e19i | 0.107806 | − | 0.186726i | ||||
\(517\) | 6.24998e19 | 0.278419 | ||||||||
\(518\) | 1.85993e20 | − | 7.81510e19i | 0.816627 | − | 0.343132i | ||||
\(519\) | 7.36907e20 | 3.18902 | ||||||||
\(520\) | −8.89404e19 | + | 1.54049e20i | −0.379380 | + | 0.657105i | ||||
\(521\) | 5.32319e19 | + | 9.22003e19i | 0.223815 | + | 0.387659i | 0.955963 | − | 0.293486i | \(-0.0948156\pi\) |
−0.732148 | + | 0.681145i | \(0.761482\pi\) | |||||||
\(522\) | −9.08264e19 | − | 1.57316e20i | −0.376429 | − | 0.651995i | ||||
\(523\) | 2.28542e20 | − | 3.95847e20i | 0.933692 | − | 1.61720i | 0.156743 | − | 0.987639i | \(-0.449901\pi\) |
0.776949 | − | 0.629563i | \(-0.216766\pi\) | |||||||
\(524\) | 6.67903e19 | 0.268985 | ||||||||
\(525\) | 4.06423e20 | + | 3.08589e20i | 1.61355 | + | 1.22514i | ||||
\(526\) | −1.53302e20 | −0.600004 | ||||||||
\(527\) | 7.86496e19 | − | 1.36225e20i | 0.303471 | − | 0.525627i | ||||
\(528\) | −5.14842e19 | − | 8.91732e19i | −0.195848 | − | 0.339219i | ||||
\(529\) | 1.26765e20 | + | 2.19564e20i | 0.475426 | + | 0.823463i | ||||
\(530\) | 5.26630e19 | − | 9.12150e19i | 0.194732 | − | 0.337285i | ||||
\(531\) | −8.73667e19 | −0.318520 | ||||||||
\(532\) | −1.93448e19 | + | 1.52943e20i | −0.0695388 | + | 0.549784i | ||||
\(533\) | −7.02013e20 | −2.48823 | ||||||||
\(534\) | 2.28445e20 | − | 3.95678e20i | 0.798403 | − | 1.38288i | ||||
\(535\) | −2.03394e20 | − | 3.52289e20i | −0.700948 | − | 1.21408i | ||||
\(536\) | 5.39570e19 | + | 9.34564e19i | 0.183363 | + | 0.317594i | ||||
\(537\) | −4.57447e20 | + | 7.92321e20i | −1.53297 | + | 2.65518i | ||||
\(538\) | 2.04470e20 | 0.675715 | ||||||||
\(539\) | −7.22302e19 | − | 2.59004e20i | −0.235398 | − | 0.844093i | ||||
\(540\) | 4.86177e20 | 1.56258 | ||||||||
\(541\) | 2.10670e20 | − | 3.64891e20i | 0.667765 | − | 1.15660i | −0.310763 | − | 0.950487i | \(-0.600585\pi\) |
0.978528 | − | 0.206115i | \(-0.0660822\pi\) | |||||||
\(542\) | 4.18545e19 | + | 7.24941e19i | 0.130842 | + | 0.226625i | ||||
\(543\) | −5.67990e20 | − | 9.83787e20i | −1.75122 | − | 3.03321i | ||||
\(544\) | 1.54078e19 | − | 2.66872e19i | 0.0468544 | − | 0.0811542i | ||||
\(545\) | 2.93537e20 | 0.880419 | ||||||||
\(546\) | −7.87980e19 | + | 6.22988e20i | −0.233115 | + | 1.84304i | ||||
\(547\) | 1.01935e20 | 0.297454 | 0.148727 | − | 0.988878i | \(-0.452482\pi\) | ||||
0.148727 | + | 0.988878i | \(0.452482\pi\) | |||||||
\(548\) | −7.35320e18 | + | 1.27361e19i | −0.0211652 | + | 0.0366592i | ||||
\(549\) | −1.08741e20 | − | 1.88344e20i | −0.308745 | − | 0.534761i | ||||
\(550\) | 1.25345e20 | + | 2.17103e20i | 0.351063 | + | 0.608059i | ||||
\(551\) | −9.72121e19 | + | 1.68376e20i | −0.268586 | + | 0.465205i | ||||
\(552\) | 5.14165e19 | 0.140139 | ||||||||
\(553\) | 4.35331e20 | + | 3.30539e20i | 1.17053 | + | 0.888759i | ||||
\(554\) | −2.81184e20 | −0.745877 | ||||||||
\(555\) | −6.24993e20 | + | 1.08252e21i | −1.63560 | + | 2.83295i | ||||
\(556\) | −1.34666e20 | − | 2.33248e20i | −0.347693 | − | 0.602222i | ||||
\(557\) | 1.59733e20 | + | 2.76665e20i | 0.406892 | + | 0.704758i | 0.994540 | − | 0.104359i | \(-0.0332791\pi\) |
−0.587647 | + | 0.809117i | \(0.699946\pi\) | |||||||
\(558\) | −3.53824e20 | + | 6.12841e20i | −0.889263 | + | 1.54025i | ||||
\(559\) | −1.42915e20 | −0.354396 | ||||||||
\(560\) | −1.37579e20 | + | 5.78083e19i | −0.336622 | + | 0.141442i | ||||
\(561\) | −3.44022e20 | −0.830547 | ||||||||
\(562\) | 4.72489e19 | − | 8.18375e19i | 0.112556 | − | 0.194953i | ||||
\(563\) | 2.28946e20 | + | 3.96545e20i | 0.538170 | + | 0.932138i | 0.999003 | + | 0.0446506i | \(0.0142175\pi\) |
−0.460833 | + | 0.887487i | \(0.652449\pi\) | |||||||
\(564\) | −6.12258e19 | − | 1.06046e20i | −0.142017 | − | 0.245981i | ||||
\(565\) | 3.38811e19 | − | 5.86838e19i | 0.0775522 | − | 0.134324i | ||||
\(566\) | 1.46799e20 | 0.331589 | ||||||||
\(567\) | 6.73737e20 | − | 2.83092e20i | 1.50182 | − | 0.631038i | ||||
\(568\) | 1.01961e20 | 0.224296 | ||||||||
\(569\) | 1.91029e20 | − | 3.30873e20i | 0.414723 | − | 0.718321i | −0.580676 | − | 0.814134i | \(-0.697212\pi\) |
0.995399 | + | 0.0958132i | \(0.0305452\pi\) | |||||||
\(570\) | −4.77582e20 | − | 8.27196e20i | −1.02326 | − | 1.77234i | ||||
\(571\) | −6.79080e19 | − | 1.17620e20i | −0.143599 | − | 0.248720i | 0.785251 | − | 0.619178i | \(-0.212534\pi\) |
−0.928849 | + | 0.370458i | \(0.879201\pi\) | |||||||
\(572\) | −1.54243e20 | + | 2.67157e20i | −0.321911 | + | 0.557565i | ||||
\(573\) | −5.56241e20 | −1.14579 | ||||||||
\(574\) | −4.69058e20 | − | 3.56147e20i | −0.953645 | − | 0.724085i | ||||
\(575\) | −1.25180e20 | −0.251204 | ||||||||
\(576\) | −6.93158e19 | + | 1.20058e20i | −0.137298 | + | 0.237807i | ||||
\(577\) | 5.85177e18 | + | 1.01356e19i | 0.0114411 | + | 0.0198166i | 0.871689 | − | 0.490059i | \(-0.163025\pi\) |
−0.860248 | + | 0.509876i | \(0.829691\pi\) | |||||||
\(578\) | 1.31717e20 | + | 2.28140e20i | 0.254204 | + | 0.440294i | ||||
\(579\) | 1.44543e20 | − | 2.50356e20i | 0.275364 | − | 0.476945i | ||||
\(580\) | −1.88206e20 | −0.353934 | ||||||||
\(581\) | 1.60788e19 | − | 1.27122e20i | 0.0298493 | − | 0.235993i | ||||
\(582\) | −1.61275e20 | −0.295560 | ||||||||
\(583\) | 9.13297e19 | − | 1.58188e20i | 0.165233 | − | 0.286193i | ||||
\(584\) | 1.79369e20 | + | 3.10676e20i | 0.320369 | + | 0.554895i | ||||
\(585\) | −1.33682e21 | − | 2.31543e21i | −2.35723 | − | 4.08285i | ||||
\(586\) | 1.85123e20 | − | 3.20643e20i | 0.322277 | − | 0.558200i | ||||
\(587\) | 8.61204e20 | 1.48020 | 0.740100 | − | 0.672497i | \(-0.234778\pi\) | ||||
0.740100 | + | 0.672497i | \(0.234778\pi\) | |||||||
\(588\) | −3.68705e20 | + | 3.76280e20i | −0.625676 | + | 0.638530i | ||||
\(589\) | 7.57399e20 | 1.26900 | ||||||||
\(590\) | −4.52591e19 | + | 7.83911e19i | −0.0748714 | + | 0.129681i | ||||
\(591\) | 6.19236e20 | + | 1.07255e21i | 1.01146 | + | 1.75191i | ||||
\(592\) | −9.70884e19 | − | 1.68162e20i | −0.156587 | − | 0.271216i | ||||
\(593\) | 4.53264e20 | − | 7.85077e20i | 0.721840 | − | 1.25026i | −0.238421 | − | 0.971162i | \(-0.576630\pi\) |
0.960261 | − | 0.279102i | \(-0.0900368\pi\) | |||||||
\(594\) | 8.43143e20 | 1.32588 | ||||||||
\(595\) | −6.25647e19 | + | 4.94645e20i | −0.0971520 | + | 0.768098i | ||||
\(596\) | 6.83915e19 | 0.104871 | ||||||||
\(597\) | −2.24312e20 | + | 3.88521e20i | −0.339661 | + | 0.588310i | ||||
\(598\) | −7.70202e19 | − | 1.33403e20i | −0.115172 | − | 0.199483i | ||||
\(599\) | 4.45997e20 | + | 7.72490e20i | 0.658614 | + | 1.14075i | 0.980975 | + | 0.194136i | \(0.0621902\pi\) |
−0.322361 | + | 0.946617i | \(0.604476\pi\) | |||||||
\(600\) | 2.45579e20 | − | 4.25355e20i | 0.358143 | − | 0.620322i | ||||
\(601\) | 3.78078e20 | 0.544532 | 0.272266 | − | 0.962222i | \(-0.412227\pi\) | ||||
0.272266 | + | 0.962222i | \(0.412227\pi\) | |||||||
\(602\) | −9.54901e19 | − | 7.25039e19i | −0.135827 | − | 0.103131i | ||||
\(603\) | −1.62200e21 | −2.27861 | ||||||||
\(604\) | −1.69542e20 | + | 2.93656e20i | −0.235235 | + | 0.407439i | ||||
\(605\) | −1.23682e20 | − | 2.14224e20i | −0.169489 | − | 0.293564i | ||||
\(606\) | 4.24195e20 | + | 7.34727e20i | 0.574144 | + | 0.994446i | ||||
\(607\) | −3.81158e20 | + | 6.60185e20i | −0.509553 | + | 0.882573i | 0.490385 | + | 0.871506i | \(0.336856\pi\) |
−0.999939 | + | 0.0110668i | \(0.996477\pi\) | |||||||
\(608\) | 1.48378e20 | 0.195927 | ||||||||
\(609\) | −6.12526e20 | + | 2.57372e20i | −0.798904 | + | 0.335685i | ||||
\(610\) | −2.25327e20 | −0.290294 | ||||||||
\(611\) | −1.83428e20 | + | 3.17707e20i | −0.233430 | + | 0.404313i | ||||
\(612\) | 2.31587e20 | + | 4.01121e20i | 0.291124 | + | 0.504242i | ||||
\(613\) | 3.55867e20 | + | 6.16380e20i | 0.441911 | + | 0.765412i | 0.997831 | − | 0.0658237i | \(-0.0209675\pi\) |
−0.555921 | + | 0.831235i | \(0.687634\pi\) | |||||||
\(614\) | −4.45921e20 | + | 7.72358e20i | −0.547010 | + | 0.947450i | ||||
\(615\) | 3.64902e21 | 4.42194 | ||||||||
\(616\) | −2.38593e20 | + | 1.00253e20i | −0.285630 | + | 0.120016i | ||||
\(617\) | 2.29885e20 | 0.271877 | 0.135938 | − | 0.990717i | \(-0.456595\pi\) | ||||
0.135938 | + | 0.990717i | \(0.456595\pi\) | |||||||
\(618\) | −1.30974e20 | + | 2.26854e20i | −0.153028 | + | 0.265053i | ||||
\(619\) | −6.61618e20 | − | 1.14596e21i | −0.763708 | − | 1.32278i | −0.940927 | − | 0.338609i | \(-0.890044\pi\) |
0.177219 | − | 0.984171i | \(-0.443290\pi\) | |||||||
\(620\) | 3.66587e20 | + | 6.34948e20i | 0.418061 | + | 0.724103i | ||||
\(621\) | −2.10509e20 | + | 3.64612e20i | −0.237183 | + | 0.410813i | ||||
\(622\) | 9.50083e20 | 1.05763 | ||||||||
\(623\) | −9.14586e20 | − | 6.94428e20i | −1.00592 | − | 0.763777i | ||||
\(624\) | 6.04395e20 | 0.656805 | ||||||||
\(625\) | 3.95420e20 | − | 6.84887e20i | 0.424579 | − | 0.735392i | ||||
\(626\) | −1.39131e20 | − | 2.40982e20i | −0.147611 | − | 0.255669i | ||||
\(627\) | −8.28236e20 | − | 1.43455e21i | −0.868255 | − | 1.50386i | ||||
\(628\) | 3.76967e20 | − | 6.52926e20i | 0.390486 | − | 0.676342i | ||||
\(629\) | −6.48753e20 | −0.664049 | ||||||||
\(630\) | 2.81462e20 | − | 2.22528e21i | 0.284685 | − | 2.25076i | ||||
\(631\) | −6.08942e19 | −0.0608634 | −0.0304317 | − | 0.999537i | \(-0.509688\pi\) | ||||
−0.0304317 | + | 0.999537i | \(0.509688\pi\) | |||||||
\(632\) | 2.63047e20 | − | 4.55610e20i | 0.259809 | − | 0.450003i | ||||
\(633\) | 2.47013e20 | + | 4.27839e20i | 0.241097 | + | 0.417592i | ||||
\(634\) | −4.09051e19 | − | 7.08497e19i | −0.0394556 | − | 0.0683390i | ||||
\(635\) | 5.34573e20 | − | 9.25908e20i | 0.509570 | − | 0.882602i | ||||
\(636\) | −3.57872e20 | −0.337131 | ||||||||
\(637\) | 1.52859e21 | + | 3.92970e20i | 1.42313 | + | 0.365859i | ||||
\(638\) | −3.26392e20 | −0.300320 | ||||||||
\(639\) | −7.66259e20 | + | 1.32720e21i | −0.696817 | + | 1.20692i | ||||
\(640\) | 7.18162e19 | + | 1.24389e20i | 0.0645465 | + | 0.111798i | ||||
\(641\) | 7.82962e20 | + | 1.35613e21i | 0.695513 | + | 1.20466i | 0.970007 | + | 0.243075i | \(0.0781561\pi\) |
−0.274495 | + | 0.961589i | \(0.588511\pi\) | |||||||
\(642\) | −6.91084e20 | + | 1.19699e21i | −0.606762 | + | 1.05094i | ||||
\(643\) | −1.21443e21 | −1.05388 | −0.526939 | − | 0.849903i | \(-0.676660\pi\) | ||||
−0.526939 | + | 0.849903i | \(0.676660\pi\) | |||||||
\(644\) | 1.62163e19 | − | 1.28209e20i | 0.0139094 | − | 0.109970i | ||||
\(645\) | 7.42863e20 | 0.629812 | ||||||||
\(646\) | 2.47869e20 | − | 4.29322e20i | 0.207720 | − | 0.359782i | ||||
\(647\) | −7.99390e20 | − | 1.38458e21i | −0.662181 | − | 1.14693i | −0.980041 | − | 0.198793i | \(-0.936298\pi\) |
0.317861 | − | 0.948137i | \(-0.397036\pi\) | |||||||
\(648\) | −3.51691e20 | − | 6.09146e20i | −0.287971 | − | 0.498780i | ||||
\(649\) | −7.84897e19 | + | 1.35948e20i | −0.0635298 | + | 0.110037i | ||||
\(650\) | −1.47147e21 | −1.17734 | ||||||||
\(651\) | 2.06137e21 | + | 1.56516e21i | 1.63042 | + | 1.23795i | ||||
\(652\) | −1.73966e20 | −0.136021 | ||||||||
\(653\) | −1.06833e21 | + | 1.85039e21i | −0.825761 | + | 1.43026i | 0.0755745 | + | 0.997140i | \(0.475921\pi\) |
−0.901336 | + | 0.433121i | \(0.857412\pi\) | |||||||
\(654\) | −4.98684e20 | − | 8.63745e20i | −0.381059 | − | 0.660013i | ||||
\(655\) | 5.20051e20 | + | 9.00755e20i | 0.392859 | + | 0.680451i | ||||
\(656\) | −2.83425e20 | + | 4.90907e20i | −0.211670 | + | 0.366624i | ||||
\(657\) | −5.39199e21 | −3.98115 | ||||||||
\(658\) | −2.83739e20 | + | 1.19222e20i | −0.207121 | + | 0.0870287i | ||||
\(659\) | −8.65907e20 | −0.624929 | −0.312464 | − | 0.949929i | \(-0.601154\pi\) | ||||
−0.312464 | + | 0.949929i | \(0.601154\pi\) | |||||||
\(660\) | 8.01745e20 | − | 1.38866e21i | 0.572080 | − | 0.990872i | ||||
\(661\) | 7.94210e19 | + | 1.37561e20i | 0.0560305 | + | 0.0970476i | 0.892680 | − | 0.450691i | \(-0.148822\pi\) |
−0.836650 | + | 0.547738i | \(0.815489\pi\) | |||||||
\(662\) | −3.58890e20 | − | 6.21616e20i | −0.250338 | − | 0.433598i | ||||
\(663\) | 1.00966e21 | − | 1.74877e21i | 0.696341 | − | 1.20610i | ||||
\(664\) | −1.23328e20 | −0.0841008 | ||||||||
\(665\) | −2.21326e21 | + | 9.29973e20i | −1.49235 | + | 0.627058i | ||||
\(666\) | 2.91857e21 | 1.94587 | ||||||||
\(667\) | 8.14907e19 | − | 1.41146e20i | 0.0537235 | − | 0.0930519i | ||||
\(668\) | −5.55224e20 | − | 9.61676e20i | −0.361947 | − | 0.626910i | ||||
\(669\) | −3.11403e20 | − | 5.39365e20i | −0.200736 | − | 0.347686i | ||||
\(670\) | −8.40255e20 | + | 1.45536e21i | −0.535612 | + | 0.927707i | ||||
\(671\) | −3.90768e20 | −0.246320 | ||||||||
\(672\) | 4.03833e20 | + | 3.06623e20i | 0.251728 | + | 0.191133i | ||||
\(673\) | −1.69054e21 | −1.04211 | −0.521053 | − | 0.853524i | \(-0.674461\pi\) | ||||
−0.521053 | + | 0.853524i | \(0.674461\pi\) | |||||||
\(674\) | 8.70997e20 | − | 1.50861e21i | 0.530967 | − | 0.919662i | ||||
\(675\) | 2.01089e21 | + | 3.48296e21i | 1.21230 | + | 2.09977i | ||||
\(676\) | −4.86048e20 | − | 8.41860e20i | −0.289787 | − | 0.501926i | ||||
\(677\) | 1.63394e20 | − | 2.83008e20i | 0.0963435 | − | 0.166872i | −0.813825 | − | 0.581110i | \(-0.802619\pi\) |
0.910169 | + | 0.414238i | \(0.135952\pi\) | |||||||
\(678\) | −2.30239e20 | −0.134263 | ||||||||
\(679\) | −5.08647e19 | + | 4.02144e20i | −0.0293355 | + | 0.231931i | ||||
\(680\) | 4.79882e20 | 0.273727 | ||||||||
\(681\) | 8.52548e20 | − | 1.47666e21i | 0.480967 | − | 0.833059i | ||||
\(682\) | 6.35746e20 | + | 1.10114e21i | 0.354732 | + | 0.614415i | ||||
\(683\) | 3.53311e20 | + | 6.11952e20i | 0.194985 | + | 0.337724i | 0.946896 | − | 0.321541i | \(-0.104201\pi\) |
−0.751910 | + | 0.659265i | \(0.770867\pi\) | |||||||
\(684\) | −1.11510e21 | + | 1.93140e21i | −0.608684 | + | 1.05427i | ||||
\(685\) | −2.29018e20 | −0.123649 | ||||||||
\(686\) | 8.21979e20 | + | 1.03805e21i | 0.438965 | + | 0.554355i | ||||
\(687\) | 3.01187e21 | 1.59097 | ||||||||
\(688\) | −5.76994e19 | + | 9.99383e19i | −0.0301480 | + | 0.0522178i | ||||
\(689\) | 5.36080e20 | + | 9.28517e20i | 0.277067 | + | 0.479894i | ||||
\(690\) | 4.00346e20 | + | 6.93420e20i | 0.204676 | + | 0.354510i | ||||
\(691\) | 1.24192e21 | − | 2.15107e21i | 0.628072 | − | 1.08785i | −0.359867 | − | 0.933004i | \(-0.617178\pi\) |
0.987938 | − | 0.154848i | \(-0.0494889\pi\) | |||||||
\(692\) | −1.78266e21 | −0.891810 | ||||||||
\(693\) | 4.88119e20 | − | 3.85914e21i | 0.241561 | − | 1.90981i | ||||
\(694\) | 3.62332e20 | 0.177382 | ||||||||
\(695\) | 2.09710e21 | − | 3.63229e21i | 1.01563 | − | 1.75911i | ||||
\(696\) | 3.19738e20 | + | 5.53803e20i | 0.153188 | + | 0.265330i | ||||
\(697\) | 9.46937e20 | + | 1.64014e21i | 0.448823 | + | 0.777384i | ||||
\(698\) | 1.31361e21 | − | 2.27524e21i | 0.615959 | − | 1.06687i | ||||
\(699\) | −2.69372e21 | −1.24961 | ||||||||
\(700\) | −9.83181e20 | − | 7.46511e20i | −0.451230 | − | 0.342611i | ||||
\(701\) | −6.99108e20 | −0.317438 | −0.158719 | − | 0.987324i | \(-0.550736\pi\) | ||||
−0.158719 | + | 0.987324i | \(0.550736\pi\) | |||||||
\(702\) | −2.47451e21 | + | 4.28597e21i | −1.11163 | + | 1.92540i | ||||
\(703\) | −1.56188e21 | − | 2.70526e21i | −0.694197 | − | 1.20238i | ||||
\(704\) | 1.24546e20 | + | 2.15720e20i | 0.0547689 | + | 0.0948625i | ||||
\(705\) | 9.53448e20 | − | 1.65142e21i | 0.414838 | − | 0.718521i | ||||
\(706\) | 2.35889e21 | 1.01548 | ||||||||
\(707\) | 1.96585e21 | − | 8.26015e20i | 0.837345 | − | 0.351838i | ||||
\(708\) | 3.07559e20 | 0.129622 | ||||||||
\(709\) | −5.20032e20 | + | 9.00722e20i | −0.216862 | + | 0.375616i | −0.953847 | − | 0.300293i | \(-0.902915\pi\) |
0.736985 | + | 0.675909i | \(0.236249\pi\) | |||||||
\(710\) | 7.93900e20 | + | 1.37508e21i | 0.327588 | + | 0.567400i | ||||
\(711\) | 3.95371e21 | + | 6.84803e21i | 1.61430 | + | 2.79604i | ||||
\(712\) | −5.52633e20 | + | 9.57189e20i | −0.223273 | + | 0.386721i | ||||
\(713\) | −6.34911e20 | −0.253829 | ||||||||
\(714\) | 1.56180e21 | − | 6.56242e20i | 0.617860 | − | 0.259614i | ||||
\(715\) | −4.80395e21 | −1.88063 | ||||||||
\(716\) | 1.10661e21 | − | 1.91671e21i | 0.428695 | − | 0.742521i | ||||
\(717\) | 1.09993e21 | + | 1.90514e21i | 0.421670 | + | 0.730353i | ||||
\(718\) | −9.31072e20 | − | 1.61266e21i | −0.353224 | − | 0.611802i | ||||
\(719\) | 1.03055e21 | − | 1.78496e21i | 0.386902 | − | 0.670134i | −0.605129 | − | 0.796127i | \(-0.706879\pi\) |
0.992031 | + | 0.125994i | \(0.0402119\pi\) | |||||||
\(720\) | −2.15886e21 | −0.802105 | ||||||||
\(721\) | 5.24358e20 | + | 3.98135e20i | 0.192803 | + | 0.146392i | ||||
\(722\) | 4.43805e20 | 0.161497 | ||||||||
\(723\) | 2.15938e21 | − | 3.74015e21i | 0.777663 | − | 1.34695i | ||||
\(724\) | 1.37403e21 | + | 2.37989e21i | 0.489730 | + | 0.848237i | ||||
\(725\) | −7.78442e20 | − | 1.34830e21i | −0.274594 | − | 0.475611i | ||||
\(726\) | −4.20242e20 | + | 7.27881e20i | −0.146715 | + | 0.254118i | ||||
\(727\) | 1.15396e21 | 0.398734 | 0.199367 | − | 0.979925i | \(-0.436111\pi\) | ||||
0.199367 | + | 0.979925i | \(0.436111\pi\) | |||||||
\(728\) | 1.90621e20 | − | 1.50708e21i | 0.0651906 | − | 0.515406i | ||||
\(729\) | −7.30380e20 | −0.247225 | ||||||||
\(730\) | −2.79325e21 | + | 4.83804e21i | −0.935810 | + | 1.62087i | ||||
\(731\) | 1.92776e20 | + | 3.33898e20i | 0.0639254 | + | 0.110722i | ||||
\(732\) | 3.82802e20 | + | 6.63033e20i | 0.125644 | + | 0.217622i | ||||
\(733\) | −8.48642e20 | + | 1.46989e21i | −0.275705 | + | 0.477535i | −0.970313 | − | 0.241854i | \(-0.922245\pi\) |
0.694608 | + | 0.719389i | \(0.255578\pi\) | |||||||
\(734\) | −2.24024e21 | −0.720400 | ||||||||
\(735\) | −7.94550e21 | − | 2.04263e21i | −2.52910 | − | 0.650183i | ||||
\(736\) | −1.24382e20 | −0.0391899 | ||||||||
\(737\) | −1.45719e21 | + | 2.52393e21i | −0.454476 | + | 0.787176i | ||||
\(738\) | −4.26002e21 | − | 7.37856e21i | −1.31519 | − | 2.27798i | ||||
\(739\) | 2.83513e20 | + | 4.91060e20i | 0.0866444 | + | 0.150072i | 0.906091 | − | 0.423083i | \(-0.139052\pi\) |
−0.819446 | + | 0.573156i | \(0.805719\pi\) | |||||||
\(740\) | 1.51193e21 | − | 2.61873e21i | 0.457396 | − | 0.792233i | ||||
\(741\) | 9.72302e21 | 2.91182 | ||||||||
\(742\) | −1.12870e20 | + | 8.92363e20i | −0.0334617 | + | 0.264553i | ||||
\(743\) | 5.34375e21 | 1.56830 | 0.784151 | − | 0.620570i | \(-0.213099\pi\) | ||||
0.784151 | + | 0.620570i | \(0.213099\pi\) | |||||||
\(744\) | 1.24557e21 | − | 2.15740e21i | 0.361886 | − | 0.626806i | ||||
\(745\) | 5.32519e20 | + | 9.22350e20i | 0.153166 | + | 0.265292i | ||||
\(746\) | 2.15038e21 | + | 3.72456e21i | 0.612312 | + | 1.06056i | ||||
\(747\) | 9.26836e20 | − | 1.60533e21i | 0.261275 | − | 0.452542i | ||||
\(748\) | 8.32226e20 | 0.232263 | ||||||||
\(749\) | 2.76677e21 | + | 2.10076e21i | 0.764469 | + | 0.580447i | ||||
\(750\) | 8.98574e20 | 0.245807 | ||||||||
\(751\) | −1.90653e21 | + | 3.30222e21i | −0.516351 | + | 0.894347i | 0.483469 | + | 0.875362i | \(0.339377\pi\) |
−0.999820 | + | 0.0189849i | \(0.993957\pi\) | |||||||
\(752\) | 1.48112e20 | + | 2.56537e20i | 0.0397151 | + | 0.0687886i | ||||
\(753\) | −5.09697e21 | − | 8.82821e21i | −1.35316 | − | 2.34374i | ||||
\(754\) | 9.57914e20 | − | 1.65916e21i | 0.251792 | − | 0.436116i | ||||
\(755\) | −5.28046e21 | −1.37426 | ||||||||
\(756\) | −3.82773e21 | + | 1.60835e21i | −0.986343 | + | 0.414444i | ||||
\(757\) | −1.23228e21 | −0.314405 | −0.157203 | − | 0.987566i | \(-0.550248\pi\) | ||||
−0.157203 | + | 0.987566i | \(0.550248\pi\) | |||||||
\(758\) | −4.44674e20 | + | 7.70198e20i | −0.112337 | + | 0.194573i | ||||
\(759\) | 6.94292e20 | + | 1.20255e21i | 0.173672 | + | 0.300808i | ||||
\(760\) | 1.15532e21 | + | 2.00108e21i | 0.286155 | + | 0.495635i | ||||
\(761\) | 2.30181e21 | − | 3.98684e21i | 0.564526 | − | 0.977787i | −0.432568 | − | 0.901601i | \(-0.642392\pi\) |
0.997094 | − | 0.0761859i | \(-0.0242742\pi\) | |||||||
\(762\) | −3.63270e21 | −0.882199 | ||||||||
\(763\) | −2.31105e21 | + | 9.71064e20i | −0.555745 | + | 0.233514i | ||||
\(764\) | 1.34561e21 | 0.320419 | ||||||||
\(765\) | −3.60643e21 | + | 6.24651e21i | −0.850387 | + | 1.47291i | ||||
\(766\) | 6.48403e20 | + | 1.12307e21i | 0.151401 | + | 0.262234i | ||||
\(767\) | −4.60712e20 | − | 7.97977e20i | −0.106528 | − | 0.184512i | ||||
\(768\) | 2.44014e20 | − | 4.22644e20i | 0.0558734 | − | 0.0967756i | ||||
\(769\) | −1.36597e21 | −0.309738 | −0.154869 | − | 0.987935i | \(-0.549496\pi\) | ||||
−0.154869 | + | 0.987935i | \(0.549496\pi\) | |||||||
\(770\) | −3.20981e21 | − | 2.43715e21i | −0.720773 | − | 0.547269i | ||||
\(771\) | −3.00866e21 | −0.669061 | ||||||||
\(772\) | −3.49665e20 | + | 6.05638e20i | −0.0770056 | + | 0.133378i | ||||
\(773\) | 1.57140e21 | + | 2.72174e21i | 0.342721 | + | 0.593609i | 0.984937 | − | 0.172914i | \(-0.0553183\pi\) |
−0.642216 | + | 0.766523i | \(0.721985\pi\) | |||||||
\(774\) | −8.67249e20 | − | 1.50212e21i | −0.187321 | − | 0.324449i | ||||
\(775\) | −3.03250e21 | + | 5.25245e21i | −0.648692 | + | 1.12357i | ||||
\(776\) | 3.90142e20 | 0.0826532 | ||||||||
\(777\) | 1.33951e21 | − | 1.05904e22i | 0.281053 | − | 2.22205i | ||||
\(778\) | 7.00895e20 | 0.145648 | ||||||||
\(779\) | −4.55952e21 | + | 7.89732e21i | −0.938401 | + | 1.62536i | ||||
\(780\) | 4.70602e21 | + | 8.15107e21i | 0.959278 | + | 1.66152i | ||||
\(781\) | 1.37680e21 | + | 2.38470e21i | 0.277965 | + | 0.481449i | ||||
\(782\) | −2.07783e20 | + | 3.59891e20i | −0.0415489 | + | 0.0719648i | ||||
\(783\) | −5.23627e21 | −1.03707 | ||||||||
\(784\) | 8.91938e20 | − | 9.10263e20i | 0.174970 | − | 0.178565i | ||||
\(785\) | 1.17408e22 | 2.28125 | ||||||||
\(786\) | 1.76701e21 | − | 3.06054e21i | 0.340070 | − | 0.589019i | ||||
\(787\) | −9.01278e20 | − | 1.56106e21i | −0.171810 | − | 0.297583i | 0.767243 | − | 0.641357i | \(-0.221628\pi\) |
−0.939053 | + | 0.343773i | \(0.888295\pi\) | |||||||
\(788\) | −1.49800e21 | − | 2.59461e21i | −0.282856 | − | 0.489921i | ||||
\(789\) | −4.05576e21 | + | 7.02477e21i | −0.758568 | + | 1.31388i | ||||
\(790\) | 8.19267e21 | 1.51783 | ||||||||
\(791\) | −7.26154e19 | + | 5.74108e20i | −0.0133262 | + | 0.105359i | ||||
\(792\) | −3.74396e21 | −0.680601 | ||||||||
\(793\) | 1.14685e21 | − | 1.98640e21i | 0.206518 | − | 0.357699i | ||||
\(794\) | −3.72455e21 | − | 6.45112e21i | −0.664386 | − | 1.15075i | ||||
\(795\) | −2.78651e21 | − | 4.82637e21i | −0.492387 | − | 0.852840i | ||||
\(796\) | 5.42636e20 | − | 9.39873e20i | 0.0949862 | − | 0.164521i | ||||
\(797\) | 5.88541e21 | 1.02056 | 0.510281 | − | 0.860008i | \(-0.329541\pi\) | ||||
0.510281 | + | 0.860008i | \(0.329541\pi\) | |||||||
\(798\) | 6.49654e21 | + | 4.93270e21i | 1.11599 | + | 0.847351i | ||||
\(799\) | 9.89696e20 | 0.168423 | ||||||||
\(800\) | −5.94082e20 | + | 1.02898e21i | −0.100155 | + | 0.173473i | ||||
\(801\) | −8.30633e21 | − | 1.43870e22i | −1.38728 | − | 2.40285i | ||||
\(802\) | 5.26020e20 | + | 9.11093e20i | 0.0870351 | + | 0.150749i | ||||
\(803\) | −4.84413e21 | + | 8.39027e21i | −0.794052 | + | 1.37534i | ||||
\(804\) | 5.70996e21 | 0.927284 | ||||||||
\(805\) | 1.85533e21 | − | 7.79576e20i | 0.298505 | − | 0.125426i | ||||
\(806\) | −7.46330e21 | −1.18965 | ||||||||
\(807\) | 5.40948e21 | − | 9.36949e21i | 0.854287 | − | 1.47967i | ||||
\(808\) | −1.02617e21 | − | 1.77738e21i | −0.160559 | − | 0.278097i | ||||
\(809\) | −3.83234e20 | − | 6.63781e20i | −0.0594087 | − | 0.102899i | 0.834791 | − | 0.550566i | \(-0.185588\pi\) |
−0.894200 | + | 0.447667i | \(0.852255\pi\) | |||||||
\(810\) | 5.47676e21 | − | 9.48603e21i | 0.841175 | − | 1.45696i | ||||
\(811\) | −3.09727e21 | −0.471327 | −0.235663 | − | 0.971835i | \(-0.575726\pi\) | ||||
−0.235663 | + | 0.971835i | \(0.575726\pi\) | |||||||
\(812\) | 1.48177e21 | − | 6.22612e20i | 0.223413 | − | 0.0938744i | ||||
\(813\) | 4.42922e21 | 0.661680 | ||||||||
\(814\) | 2.62202e21 | − | 4.54148e21i | 0.388109 | − | 0.672224i | ||||
\(815\) | −1.35455e21 | − | 2.34616e21i | −0.198662 | − | 0.344092i | ||||
\(816\) | −8.15261e20 | − | 1.41207e21i | −0.118473 | − | 0.205202i | ||||
\(817\) | −9.28222e20 | + | 1.60773e21i | −0.133655 | + | 0.231498i | ||||
\(818\) | 5.61650e21 | 0.801339 | ||||||||
\(819\) | 1.81847e22 | + | 1.38073e22i | 2.57085 | + | 1.95200i | ||||
\(820\) | −8.82738e21 | −1.23660 | ||||||||
\(821\) | −5.82584e21 | + | 1.00907e22i | −0.808696 | + | 1.40070i | 0.105072 | + | 0.994465i | \(0.466493\pi\) |
−0.913768 | + | 0.406237i | \(0.866841\pi\) | |||||||
\(822\) | 3.89073e20 | + | 6.73894e20i | 0.0535171 | + | 0.0926943i | ||||
\(823\) | −1.54081e20 | − | 2.66876e20i | −0.0210015 | − | 0.0363757i | 0.855334 | − | 0.518078i | \(-0.173352\pi\) |
−0.876335 | + | 0.481702i | \(0.840019\pi\) | |||||||
\(824\) | 3.16841e20 | − | 5.48784e20i | 0.0427944 | − | 0.0741220i | ||||
\(825\) | 1.32645e22 | 1.77536 | ||||||||
\(826\) | 9.70013e19 | − | 7.66906e20i | 0.0128655 | − | 0.101717i | ||||
\(827\) | 8.65216e21 | 1.13719 | 0.568595 | − | 0.822617i | \(-0.307487\pi\) | ||||
0.568595 | + | 0.822617i | \(0.307487\pi\) | |||||||
\(828\) | 9.34761e20 | − | 1.61905e21i | 0.121751 | − | 0.210879i | ||||
\(829\) | 5.19930e21 | + | 9.00546e21i | 0.671099 | + | 1.16238i | 0.977593 | + | 0.210504i | \(0.0675106\pi\) |
−0.306494 | + | 0.951872i | \(0.599156\pi\) | |||||||
\(830\) | −9.60270e20 | − | 1.66324e21i | −0.122831 | − | 0.212749i | ||||
\(831\) | −7.43901e21 | + | 1.28847e22i | −0.942991 | + | 1.63331i | ||||
\(832\) | −1.46210e21 | −0.183676 | ||||||||
\(833\) | −1.14378e21 | − | 4.10137e21i | −0.142398 | − | 0.510613i | ||||
\(834\) | −1.42509e22 | −1.75831 | ||||||||
\(835\) | 8.64631e21 | − | 1.49759e22i | 1.05726 | − | 1.83123i | ||||
\(836\) | 2.00359e21 | + | 3.47032e21i | 0.242808 | + | 0.420555i | ||||
\(837\) | 1.01992e22 | + | 1.76656e22i | 1.22497 | + | 2.12171i | ||||
\(838\) | −3.33422e21 | + | 5.77504e21i | −0.396884 | + | 0.687424i | ||||
\(839\) | −1.09289e22 | −1.28932 | −0.644661 | − | 0.764469i | \(-0.723001\pi\) | ||||
−0.644661 | + | 0.764469i | \(0.723001\pi\) | |||||||
\(840\) | −9.90836e20 | + | 7.83369e21i | −0.115853 | + | 0.915950i | ||||
\(841\) | −6.60216e21 | −0.765096 | ||||||||
\(842\) | 3.65021e20 | − | 6.32235e20i | 0.0419254 | − | 0.0726170i | ||||
\(843\) | −2.50004e21 | − | 4.33019e21i | −0.284603 | − | 0.492947i | ||||
\(844\) | −5.97551e20 | − | 1.03499e21i | −0.0674228 | − | 0.116780i | ||||
\(845\) | 7.56906e21 | − | 1.31100e22i | 0.846480 | − | 1.46615i | ||||
\(846\) | −4.45238e21 | −0.493531 | ||||||||
\(847\) | 1.68245e21 | + | 1.27745e21i | 0.184849 | + | 0.140352i | ||||
\(848\) | 8.65731e20 | 0.0942788 | ||||||||
\(849\) | 3.88372e21 | − | 6.72680e21i | 0.419218 | − | 0.726107i | ||||
\(850\) | 1.98485e21 | + | 3.43787e21i | 0.212367 | + | 0.367830i | ||||
\(851\) | 1.30929e21 | + | 2.26776e21i | 0.138856 | + | 0.240505i | ||||
\(852\) | 2.69748e21 | − | 4.67217e21i | 0.283570 | − | 0.491158i | ||||
\(853\) | −8.33417e21 | −0.868449 | −0.434225 | − | 0.900805i | \(-0.642978\pi\) | ||||
−0.434225 | + | 0.900805i | \(0.642978\pi\) | |||||||
\(854\) | 1.77402e21 | − | 7.45413e20i | 0.183242 | − | 0.0769951i | ||||
\(855\) | −3.47300e22 | −3.55598 | ||||||||
\(856\) | 1.67181e21 | − | 2.89565e21i | 0.169681 | − | 0.293896i | ||||
\(857\) | 4.14721e20 | + | 7.18318e20i | 0.0417253 | + | 0.0722704i | 0.886134 | − | 0.463429i | \(-0.153381\pi\) |
−0.844409 | + | 0.535700i | \(0.820048\pi\) | |||||||
\(858\) | 8.16131e21 | + | 1.41358e22i | 0.813964 | + | 1.40983i | ||||
\(859\) | 1.21163e20 | − | 2.09861e20i | 0.0119791 | − | 0.0207483i | −0.859974 | − | 0.510338i | \(-0.829520\pi\) |
0.871953 | + | 0.489590i | \(0.162854\pi\) | |||||||
\(860\) | −1.79707e21 | −0.176127 | ||||||||
\(861\) | −2.87292e22 | + | 1.20715e22i | −2.79126 | + | 1.17284i | ||||
\(862\) | 4.52338e21 | 0.435671 | ||||||||
\(863\) | 6.85170e21 | − | 1.18675e22i | 0.654211 | − | 1.13313i | −0.327881 | − | 0.944719i | \(-0.606334\pi\) |
0.982091 | − | 0.188407i | \(-0.0603323\pi\) | |||||||
\(864\) | 1.99808e21 | + | 3.46077e21i | 0.189129 | + | 0.327582i | ||||
\(865\) | −1.38804e22 | − | 2.40415e22i | −1.30251 | − | 2.25601i | ||||
\(866\) | 6.30875e20 | − | 1.09271e21i | 0.0586893 | − | 0.101653i | ||||
\(867\) | 1.39388e22 | 1.28553 | ||||||||
\(868\) | −4.98668e21 | − | 3.78629e21i | −0.455947 | − | 0.346192i | ||||
\(869\) | 1.42080e22 | 1.28790 | ||||||||
\(870\) | −4.97918e21 | + | 8.62419e21i | −0.447469 | + | 0.775039i | ||||
\(871\) | −8.55332e21 | − | 1.48148e22i | −0.762076 | − | 1.31995i | ||||
\(872\) | 1.20637e21 | + | 2.08949e21i | 0.106563 | + | 0.184573i | ||||
\(873\) | −2.93201e21 | + | 5.07838e21i | −0.256778 | + | 0.444753i | ||||
\(874\) | −2.00096e21 | −0.173741 | ||||||||
\(875\) | 2.83402e20 | − | 2.24062e21i | 0.0243974 | − | 0.192889i | ||||
\(876\) | 1.89815e22 | 1.62013 | ||||||||
\(877\) | 5.12170e21 | − | 8.87104e21i | 0.433428 | − | 0.750720i | −0.563738 | − | 0.825954i | \(-0.690637\pi\) |
0.997166 | + | 0.0752343i | \(0.0239705\pi\) | |||||||
\(878\) | −4.85100e21 | − | 8.40218e21i | −0.407026 | − | 0.704990i | ||||
\(879\) | −9.79526e21 | − | 1.69659e22i | −0.814891 | − | 1.41143i | ||||
\(880\) | −1.93951e21 | + | 3.35933e21i | −0.159982 | + | 0.277097i | ||||
\(881\) | −2.42640e21 | −0.198446 | −0.0992232 | − | 0.995065i | \(-0.531636\pi\) | ||||
−0.0992232 | + | 0.995065i | \(0.531636\pi\) | |||||||
\(882\) | 5.14555e21 | + | 1.84510e22i | 0.417271 | + | 1.49625i | ||||
\(883\) | 2.06931e22 | 1.66387 | 0.831936 | − | 0.554872i | \(-0.187233\pi\) | ||||
0.831936 | + | 0.554872i | \(0.187233\pi\) | |||||||
\(884\) | −2.44247e21 | + | 4.23047e21i | −0.194732 | + | 0.337285i | ||||
\(885\) | 2.39475e21 | + | 4.14784e21i | 0.189316 | + | 0.327904i | ||||
\(886\) | −5.37058e21 | − | 9.30212e21i | −0.420987 | − | 0.729171i | ||||
\(887\) | −1.07767e22 | + | 1.86657e22i | −0.837640 | + | 1.45083i | 0.0542229 | + | 0.998529i | \(0.482732\pi\) |
−0.891863 | + | 0.452306i | \(0.850602\pi\) | |||||||
\(888\) | −1.02743e22 | −0.791872 | ||||||||
\(889\) | −1.14572e21 | + | 9.05823e21i | −0.0875619 | + | 0.692277i | ||||
\(890\) | −1.72119e22 | −1.30438 | ||||||||
\(891\) | 9.49796e21 | − | 1.64509e22i | 0.713752 | − | 1.23625i | ||||
\(892\) | 7.53316e20 | + | 1.30478e21i | 0.0561359 | + | 0.0972303i | ||||
\(893\) | 2.38270e21 | + | 4.12696e21i | 0.176069 | + | 0.304961i | ||||
\(894\) | 1.80937e21 | − | 3.13392e21i | 0.132585 | − | 0.229645i | ||||
\(895\) | 3.44658e22 | 2.50447 | ||||||||
\(896\) | −9.76916e20 | − | 7.41754e20i | −0.0703958 | − | 0.0534502i | ||||
\(897\) | −8.15059e21 | −0.582433 | ||||||||
\(898\) | −6.49012e21 | + | 1.12412e22i | −0.459918 | + | 0.796601i | ||||
\(899\) | −3.94825e21 | − | 6.83857e21i | −0.277464 | − | 0.480582i | ||||
\(900\) | −8.92932e21 | − | 1.54660e22i | −0.622300 | − | 1.07786i | ||||
\(901\) | 1.44622e21 | − | 2.50493e21i | 0.0999538 | − | 0.173125i | ||||
\(902\) | −1.53087e22 | −1.04927 | ||||||||
\(903\) | −5.84865e21 | + | 2.45750e21i | −0.397555 | + | 0.167046i | ||||
\(904\) | 5.56973e20 | 0.0375467 | ||||||||
\(905\) | −2.13973e22 | + | 3.70612e22i | −1.43052 | + | 2.47774i | ||||
\(906\) | 8.97084e21 | + | 1.55380e22i | 0.594801 | + | 1.03023i | ||||
\(907\) | −3.02074e21 | − | 5.23208e21i | −0.198637 | − | 0.344049i | 0.749450 | − | 0.662061i | \(-0.230318\pi\) |
−0.948087 | + | 0.318012i | \(0.896985\pi\) | |||||||
\(908\) | −2.06240e21 | + | 3.57219e21i | −0.134502 | + | 0.232965i | ||||
\(909\) | 3.08477e22 | 1.99523 | ||||||||
\(910\) | 2.18091e22 | − | 9.16382e21i | 1.39903 | − | 0.587849i | ||||
\(911\) | 2.46256e21 | 0.156675 | 0.0783374 | − | 0.996927i | \(-0.475039\pi\) | ||||
0.0783374 | + | 0.996927i | \(0.475039\pi\) | |||||||
\(912\) | 3.92550e21 | − | 6.79916e21i | 0.247704 | − | 0.429036i | ||||
\(913\) | −1.66533e21 | − | 2.88443e21i | −0.104224 | − | 0.180522i | ||||
\(914\) | −9.10750e21 | − | 1.57746e22i | −0.565331 | − | 0.979182i | ||||
\(915\) | −5.96125e21 | + | 1.03252e22i | −0.367011 | + | 0.635682i | ||||
\(916\) | −7.28604e21 | −0.444914 | ||||||||
\(917\) | −7.07425e21 | − | 5.37134e21i | −0.428460 | − | 0.325322i | ||||
\(918\) | 1.33513e22 | 0.802055 | ||||||||
\(919\) | −1.09081e22 | + | 1.88934e22i | −0.649956 | + | 1.12576i | 0.333177 | + | 0.942864i | \(0.391879\pi\) |
−0.983133 | + | 0.182892i | \(0.941454\pi\) | |||||||
\(920\) | −9.68481e20 | − | 1.67746e21i | −0.0572377 | − | 0.0991386i | ||||
\(921\) | 2.35946e22 | + | 4.08671e22i | 1.38314 | + | 2.39567i | ||||
\(922\) | 3.99231e21 | − | 6.91488e21i | 0.232136 | − | 0.402071i | ||||
\(923\) | −1.61629e22 | −0.932195 | ||||||||
\(924\) | −1.71834e21 | + | 1.35854e22i | −0.0983033 | + | 0.777200i | ||||
\(925\) | 2.50140e22 | 1.41945 | ||||||||
\(926\) | −7.74335e20 | + | 1.34119e21i | −0.0435859 | + | 0.0754931i | ||||
\(927\) | 4.76226e21 | + | 8.24848e21i | 0.265898 | + | 0.460549i | ||||
\(928\) | −7.73481e20 | − | 1.33971e21i | −0.0428391 | − | 0.0741994i | ||||
\(929\) | 6.74778e21 | − | 1.16875e22i | 0.370717 | − | 0.642101i | −0.618959 | − | 0.785424i | \(-0.712445\pi\) |
0.989676 | + | 0.143322i | \(0.0457785\pi\) | |||||||
\(930\) | 3.87938e22 | 2.11417 | ||||||||
\(931\) | 1.43488e22 | − | 1.46436e22i | 0.775697 | − | 0.791634i | ||||
\(932\) | 6.51639e21 | 0.349452 | ||||||||
\(933\) | 2.51354e22 | − | 4.35359e22i | 1.33713 | − | 2.31598i | ||||
\(934\) | 1.17444e22 | + | 2.03419e22i | 0.619769 | + | 1.07347i | ||||
\(935\) | 6.47998e21 | + | 1.12237e22i | 0.339224 | + | 0.587554i | ||||
\(936\) | 1.09880e22 | − | 1.90318e22i | 0.570624 | − | 0.988349i | ||||
\(937\) | 2.87255e20 | 0.0147986 | 0.00739930 | − | 0.999973i | \(-0.497645\pi\) | ||||
0.00739930 | + | 0.999973i | \(0.497645\pi\) | |||||||
\(938\) | 1.80087e21 | − | 1.42379e22i | 0.0920367 | − | 0.727655i | ||||
\(939\) | −1.47234e22 | −0.746479 | ||||||||
\(940\) | −2.30649e21 | + | 3.99497e21i | −0.116009 | + | 0.200934i | ||||
\(941\) | 1.68121e22 | + | 2.91195e22i | 0.838882 | + | 1.45299i | 0.890831 | + | 0.454336i | \(0.150123\pi\) |
−0.0519491 | + | 0.998650i | \(0.516543\pi\) | |||||||
\(942\) | −1.99461e22 | − | 3.45476e22i | −0.987361 | − | 1.71016i | ||||
\(943\) | 3.82214e21 | − | 6.62015e21i | 0.187702 | − | 0.325110i | ||||
\(944\) | −7.44018e20 | −0.0362488 | ||||||||
\(945\) | −5.14947e22 | − | 3.90989e22i | −2.48899 | − | 1.88984i | ||||
\(946\) | −3.11652e21 | −0.149447 | ||||||||
\(947\) | 7.81293e21 | − | 1.35324e22i | 0.371697 | − | 0.643798i | −0.618130 | − | 0.786076i | \(-0.712109\pi\) |
0.989827 | + | 0.142278i | \(0.0454426\pi\) | |||||||
\(948\) | −1.39183e22 | − | 2.41073e22i | −0.656939 | − | 1.13785i | ||||
\(949\) | −2.84337e22 | − | 4.92486e22i | −1.33148 | − | 2.30620i | ||||
\(950\) | −9.55711e21 | + | 1.65534e22i | −0.444017 | + | 0.769060i | ||||
\(951\) | −4.32875e21 | −0.199530 | ||||||||
\(952\) | −3.77817e21 | + | 1.58752e21i | −0.172784 | + | 0.0726009i | ||||
\(953\) | −2.55462e22 | −1.15913 | −0.579563 | − | 0.814928i | \(-0.696777\pi\) | ||||
−0.579563 | + | 0.814928i | \(0.696777\pi\) | |||||||
\(954\) | −6.50617e21 | + | 1.12690e22i | −0.292895 | + | 0.507309i | ||||
\(955\) | 1.04773e22 | + | 1.81473e22i | 0.467979 | + | 0.810563i | ||||
\(956\) | −2.66086e21 | − | 4.60874e21i | −0.117920 | − | 0.204243i | ||||
\(957\) | −8.63503e21 | + | 1.49563e22i | −0.379686 | + | 0.657635i | ||||
\(958\) | 7.80658e21 | 0.340580 | ||||||||
\(959\) | 1.80308e21 | − | 7.57624e20i | 0.0780506 | − | 0.0327955i | ||||
\(960\) | 7.59989e21 | 0.326417 | ||||||||
\(961\) | −3.64818e21 | + | 6.31884e21i | −0.155472 | + | 0.269285i | ||||
\(962\) | 1.53905e22 | + | 2.66572e22i | 0.650790 | + | 1.12720i | ||||
\(963\) | 2.51280e22 | + | 4.35230e22i | 1.05429 | + | 1.82609i | ||||
\(964\) | −5.22377e21 | + | 9.04784e21i | −0.217474 | + | 0.376675i | ||||
\(965\) | −1.08904e22 | −0.449873 | ||||||||
\(966\) | −5.44591e21 | − | 4.13497e21i | −0.223224 | − | 0.169490i | ||||
\(967\) | 2.39258e22 | 0.973122 | 0.486561 | − | 0.873647i | \(-0.338251\pi\) | ||||
0.486561 | + | 0.873647i | \(0.338251\pi\) | |||||||
\(968\) | 1.01661e21 | − | 1.76082e21i | 0.0410289 | − | 0.0710641i | ||||
\(969\) | −1.31153e22 | − | 2.27163e22i | −0.525229 | − | 0.909723i | ||||
\(970\) | 3.03777e21 | + | 5.26158e21i | 0.120717 | + | 0.209087i | ||||
\(971\) | −5.37942e20 | + | 9.31743e20i | −0.0212125 | + | 0.0367411i | −0.876437 | − | 0.481517i | \(-0.840086\pi\) |
0.855224 | + | 0.518258i | \(0.173419\pi\) | |||||||
\(972\) | −9.87533e21 | −0.386416 | ||||||||
\(973\) | −4.49460e21 | + | 3.55349e22i | −0.174520 | + | 1.37978i | ||||
\(974\) | 1.82009e22 | 0.701295 | ||||||||
\(975\) | −3.89294e22 | + | 6.74277e22i | −1.48848 | + | 2.57812i | ||||
\(976\) | −9.26040e20 | − | 1.60395e21i | −0.0351363 | − | 0.0608579i | ||||
\(977\) | −5.31494e21 | − | 9.20574e21i | −0.200119 | − | 0.346617i | 0.748447 | − | 0.663194i | \(-0.230800\pi\) |
−0.948567 | + | 0.316577i | \(0.897466\pi\) | |||||||
\(978\) | −4.60244e21 | + | 7.97166e21i | −0.171968 | + | 0.297857i | ||||
\(979\) | −2.98494e22 | −1.10679 | ||||||||
\(980\) | 1.92210e22 | + | 4.94135e21i | 0.707263 | + | 0.181824i | ||||
\(981\) | −3.62646e22 | −1.32424 | ||||||||
\(982\) | 1.57995e22 | − | 2.73655e22i | 0.572541 | − | 0.991670i | ||||
\(983\) | 6.66552e21 | + | 1.15450e22i | 0.239708 | + | 0.415187i | 0.960630 | − | 0.277829i | \(-0.0896149\pi\) |
−0.720922 | + | 0.693016i | \(0.756282\pi\) | |||||||
\(984\) | 1.49966e22 | + | 2.59749e22i | 0.535218 | + | 0.927024i | ||||
\(985\) | 2.33278e22 | − | 4.04050e22i | 0.826233 | − | 1.43108i | ||||
\(986\) | −5.16847e21 | −0.181671 | ||||||||
\(987\) | −2.04347e21 | + | 1.61560e22i | −0.0712837 | + | 0.563579i | ||||
\(988\) | −2.35210e22 | −0.814291 | ||||||||
\(989\) | 7.78107e20 | − | 1.34772e21i | 0.0267342 | − | 0.0463050i | ||||
\(990\) | −2.91517e22 | − | 5.04922e22i | −0.994031 | − | 1.72171i | ||||
\(991\) | −4.50301e21 | − | 7.79944e21i | −0.152388 | − | 0.263944i | 0.779717 | − | 0.626132i | \(-0.215363\pi\) |
−0.932105 | + | 0.362189i | \(0.882030\pi\) | |||||||
\(992\) | −3.01318e21 | + | 5.21897e21i | −0.101202 | + | 0.175286i | ||||
\(993\) | −3.79793e22 | −1.26598 | ||||||||
\(994\) | −1.07994e22 | − | 8.19980e21i | −0.357275 | − | 0.271272i | ||||
\(995\) | 1.69006e22 | 0.554917 | ||||||||
\(996\) | −3.26276e21 | + | 5.65127e21i | −0.106326 | + | 0.184162i | ||||
\(997\) | −4.55495e21 | − | 7.88941e21i | −0.147323 | − | 0.255171i | 0.782914 | − | 0.622130i | \(-0.213732\pi\) |
−0.930237 | + | 0.366959i | \(0.880399\pi\) | |||||||
\(998\) | 1.75700e22 | + | 3.04321e22i | 0.564018 | + | 0.976908i | ||||
\(999\) | 4.20649e22 | − | 7.28585e22i | 1.34023 | − | 2.32134i |
(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 | 14.16.c.a.9.5 | ✓ | 10 | |
3.2 | odd | 2 | 126.16.g.e.37.2 | 10 | |||
7.2 | even | 3 | 98.16.a.j.1.1 | 5 | |||
7.3 | odd | 6 | 98.16.c.m.67.1 | 10 | |||
7.4 | even | 3 | inner | 14.16.c.a.11.5 | yes | 10 | |
7.5 | odd | 6 | 98.16.a.k.1.5 | 5 | |||
7.6 | odd | 2 | 98.16.c.m.79.1 | 10 | |||
21.11 | odd | 6 | 126.16.g.e.109.2 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.16.c.a.9.5 | ✓ | 10 | 1.1 | even | 1 | trivial | |
14.16.c.a.11.5 | yes | 10 | 7.4 | even | 3 | inner | |
98.16.a.j.1.1 | 5 | 7.2 | even | 3 | |||
98.16.a.k.1.5 | 5 | 7.5 | odd | 6 | |||
98.16.c.m.67.1 | 10 | 7.3 | odd | 6 | |||
98.16.c.m.79.1 | 10 | 7.6 | odd | 2 | |||
126.16.g.e.37.2 | 10 | 3.2 | odd | 2 | |||
126.16.g.e.109.2 | 10 | 21.11 | odd | 6 |