Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,13,Mod(3,14)]
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([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.7959134419\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + \cdots + 73\!\cdots\!36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{48}\cdot 3^{8}\cdot 7^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 5.7 | ||
Root | \(-30.8925 + 53.5073i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.5 |
Dual form | 14.13.d.a.3.7 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 22.6274 | − | 39.1918i | 0.353553 | − | 0.612372i | ||||
\(3\) | −33.7761 | + | 19.5006i | −0.0463321 | + | 0.0267498i | −0.522987 | − | 0.852341i | \(-0.675182\pi\) |
0.476655 | + | 0.879090i | \(0.341849\pi\) | |||||||
\(4\) | −1024.00 | − | 1773.62i | −0.250000 | − | 0.433013i | ||||
\(5\) | 2481.87 | + | 1432.91i | 0.158840 | + | 0.0917063i | 0.577313 | − | 0.816523i | \(-0.304101\pi\) |
−0.418473 | + | 0.908229i | \(0.637435\pi\) | |||||||
\(6\) | 1764.99i | 0.0378300i | ||||||||
\(7\) | −44556.8 | − | 108885.i | −0.378727 | − | 0.925509i | ||||
\(8\) | −92681.9 | −0.353553 | ||||||||
\(9\) | −264960. | + | 458924.i | −0.498569 | + | 0.863547i | ||||
\(10\) | 112317. | − | 64846.2i | 0.112317 | − | 0.0648462i | ||||
\(11\) | −1.70644e6 | − | 2.95565e6i | −0.963243 | − | 1.66839i | −0.714263 | − | 0.699878i | \(-0.753238\pi\) |
−0.248980 | − | 0.968509i | \(-0.580095\pi\) | |||||||
\(12\) | 69173.4 | + | 39937.3i | 0.0231660 | + | 0.0133749i | ||||
\(13\) | 6.97895e6i | 1.44587i | 0.690915 | + | 0.722936i | \(0.257208\pi\) | ||||
−0.690915 | + | 0.722936i | \(0.742792\pi\) | |||||||
\(14\) | −5.27561e6 | − | 717526.i | −0.700656 | − | 0.0952949i | ||||
\(15\) | −111771. | −0.00981251 | ||||||||
\(16\) | −2.09715e6 | + | 3.63237e6i | −0.125000 | + | 0.216506i | ||||
\(17\) | −2.47314e7 | + | 1.42787e7i | −1.02460 | + | 0.591555i | −0.915434 | − | 0.402468i | \(-0.868152\pi\) |
−0.109169 | + | 0.994023i | \(0.534819\pi\) | |||||||
\(18\) | 1.19907e7 | + | 2.07685e7i | 0.352541 | + | 0.610620i | ||||
\(19\) | −4.55136e7 | − | 2.62773e7i | −0.967431 | − | 0.558546i | −0.0689787 | − | 0.997618i | \(-0.521974\pi\) |
−0.898452 | + | 0.439072i | \(0.855307\pi\) | |||||||
\(20\) | − | 5.86920e6i | − | 0.0917063i | ||||||
\(21\) | 3.62828e6 | + | 2.80883e6i | 0.0423044 | + | 0.0327498i | ||||
\(22\) | −1.54450e8 | −1.36223 | ||||||||
\(23\) | −1.55977e7 | + | 2.70160e7i | −0.105364 | + | 0.182496i | −0.913887 | − | 0.405969i | \(-0.866934\pi\) |
0.808523 | + | 0.588465i | \(0.200268\pi\) | |||||||
\(24\) | 3.13043e6 | − | 1.80735e6i | 0.0163809 | − | 0.00945749i | ||||
\(25\) | −1.17964e8 | − | 2.04319e8i | −0.483180 | − | 0.836892i | ||||
\(26\) | 2.73518e8 | + | 1.57916e8i | 0.885412 | + | 0.511193i | ||||
\(27\) | − | 4.13944e7i | − | 0.106846i | ||||||
\(28\) | −1.47495e8 | + | 1.90525e8i | −0.306075 | + | 0.395371i | ||||
\(29\) | 4.56209e8 | 0.766966 | 0.383483 | − | 0.923548i | \(-0.374724\pi\) | ||||
0.383483 | + | 0.923548i | \(0.374724\pi\) | |||||||
\(30\) | −2.52908e6 | + | 4.38050e6i | −0.00346925 | + | 0.00600891i | ||||
\(31\) | 1.51818e9 | − | 8.76523e8i | 1.71062 | − | 0.987628i | 0.776902 | − | 0.629622i | \(-0.216790\pi\) |
0.933719 | − | 0.358006i | \(-0.116543\pi\) | |||||||
\(32\) | 9.49063e7 | + | 1.64382e8i | 0.0883883 | + | 0.153093i | ||||
\(33\) | 1.15274e8 | + | 6.65534e7i | 0.0892581 | + | 0.0515332i | ||||
\(34\) | 1.29236e9i | 0.836585i | ||||||||
\(35\) | 4.54383e7 | − | 3.34085e8i | 0.0247180 | − | 0.181739i | ||||
\(36\) | 1.08528e9 | 0.498569 | ||||||||
\(37\) | 9.08379e8 | − | 1.57336e9i | 0.354043 | − | 0.613221i | −0.632910 | − | 0.774225i | \(-0.718140\pi\) |
0.986954 | + | 0.161004i | \(0.0514731\pi\) | |||||||
\(38\) | −2.05971e9 | + | 1.18918e9i | −0.684077 | + | 0.394952i | ||||
\(39\) | −1.36094e8 | − | 2.35721e8i | −0.0386768 | − | 0.0669902i | ||||
\(40\) | −2.30025e8 | − | 1.32805e8i | −0.0561584 | − | 0.0324231i | ||||
\(41\) | − | 5.14132e9i | − | 1.08236i | −0.840907 | − | 0.541180i | \(-0.817978\pi\) | ||
0.840907 | − | 0.541180i | \(-0.182022\pi\) | |||||||
\(42\) | 1.92182e8 | − | 7.86426e7i | 0.0350120 | − | 0.0143272i | ||||
\(43\) | −7.27073e9 | −1.15018 | −0.575092 | − | 0.818089i | \(-0.695034\pi\) | ||||
−0.575092 | + | 0.818089i | \(0.695034\pi\) | |||||||
\(44\) | −3.49480e9 | + | 6.05317e9i | −0.481622 | + | 0.834193i | ||||
\(45\) | −1.31519e9 | + | 7.59328e8i | −0.158385 | + | 0.0914438i | ||||
\(46\) | 7.05871e8 | + | 1.22260e9i | 0.0745038 | + | 0.129044i | ||||
\(47\) | 3.70838e9 | + | 2.14103e9i | 0.344031 | + | 0.198626i | 0.662053 | − | 0.749457i | \(-0.269685\pi\) |
−0.318022 | + | 0.948083i | \(0.603019\pi\) | |||||||
\(48\) | − | 1.63583e8i | − | 0.0133749i | ||||||
\(49\) | −9.87067e9 | + | 9.70315e9i | −0.713132 | + | 0.701030i | ||||
\(50\) | −1.06769e10 | −0.683320 | ||||||||
\(51\) | 5.56887e8 | − | 9.64556e8i | 0.0316480 | − | 0.0548159i | ||||
\(52\) | 1.23780e10 | − | 7.14644e9i | 0.626081 | − | 0.361468i | ||||
\(53\) | 3.61377e9 | + | 6.25923e9i | 0.163044 | + | 0.282401i | 0.935959 | − | 0.352109i | \(-0.114535\pi\) |
−0.772915 | + | 0.634510i | \(0.781202\pi\) | |||||||
\(54\) | −1.62232e9 | − | 9.36648e8i | −0.0654297 | − | 0.0377758i | ||||
\(55\) | − | 9.78073e9i | − | 0.353342i | ||||||
\(56\) | 4.12961e9 | + | 1.00917e10i | 0.133900 | + | 0.327217i | ||||
\(57\) | 2.04970e9 | 0.0597641 | ||||||||
\(58\) | 1.03228e10 | − | 1.78797e10i | 0.271163 | − | 0.469669i | ||||
\(59\) | −4.46587e9 | + | 2.57837e9i | −0.105875 | + | 0.0611270i | −0.552003 | − | 0.833842i | \(-0.686136\pi\) |
0.446127 | + | 0.894969i | \(0.352803\pi\) | |||||||
\(60\) | 1.14453e8 | + | 1.98239e8i | 0.00245313 | + | 0.00424894i | ||||
\(61\) | 4.42661e9 | + | 2.55570e9i | 0.0859196 | + | 0.0496057i | 0.542344 | − | 0.840156i | \(-0.317537\pi\) |
−0.456425 | + | 0.889762i | \(0.650870\pi\) | |||||||
\(62\) | − | 7.93338e10i | − | 1.39672i | ||||||
\(63\) | 6.17758e10 | + | 8.40201e9i | 0.988041 | + | 0.134382i | ||||
\(64\) | 8.58993e9 | 0.125000 | ||||||||
\(65\) | −1.00002e10 | + | 1.73209e10i | −0.132596 | + | 0.229662i | ||||
\(66\) | 5.21670e9 | − | 3.01186e9i | 0.0631150 | − | 0.0364395i | ||||
\(67\) | 3.79522e10 | + | 6.57352e10i | 0.419555 | + | 0.726690i | 0.995895 | − | 0.0905201i | \(-0.0288529\pi\) |
−0.576340 | + | 0.817210i | \(0.695520\pi\) | |||||||
\(68\) | 5.06500e10 | + | 2.92428e10i | 0.512301 | + | 0.295777i | ||||
\(69\) | − | 1.21666e9i | − | 0.0112739i | ||||||
\(70\) | −1.20653e10 | − | 9.34030e9i | −0.102553 | − | 0.0793912i | ||||
\(71\) | −1.13092e11 | −0.882838 | −0.441419 | − | 0.897301i | \(-0.645525\pi\) | ||||
−0.441419 | + | 0.897301i | \(0.645525\pi\) | |||||||
\(72\) | 2.45570e10 | − | 4.25340e10i | 0.176271 | − | 0.305310i | ||||
\(73\) | 1.51188e11 | − | 8.72887e10i | 0.999037 | − | 0.576794i | 0.0910734 | − | 0.995844i | \(-0.470970\pi\) |
0.907963 | + | 0.419050i | \(0.137637\pi\) | |||||||
\(74\) | −4.11085e10 | − | 7.12021e10i | −0.250347 | − | 0.433613i | ||||
\(75\) | 7.96871e9 | + | 4.60074e9i | 0.0447734 | + | 0.0258500i | ||||
\(76\) | 1.07632e11i | 0.558546i | ||||||||
\(77\) | −2.45792e11 | + | 3.17501e11i | −1.17930 | + | 1.52335i | ||||
\(78\) | −1.23178e10 | −0.0546973 | ||||||||
\(79\) | −1.13044e11 | + | 1.95798e11i | −0.465036 | + | 0.805465i | −0.999203 | − | 0.0399134i | \(-0.987292\pi\) |
0.534168 | + | 0.845379i | \(0.320625\pi\) | |||||||
\(80\) | −1.04097e10 | + | 6.01006e9i | −0.0397100 | + | 0.0229266i | ||||
\(81\) | −1.40003e11 | − | 2.42493e11i | −0.495711 | − | 0.858596i | ||||
\(82\) | −2.01498e11 | − | 1.16335e11i | −0.662807 | − | 0.382672i | ||||
\(83\) | − | 4.13229e11i | − | 1.26393i | −0.774998 | − | 0.631964i | \(-0.782249\pi\) | ||
0.774998 | − | 0.631964i | \(-0.217751\pi\) | |||||||
\(84\) | 1.26643e9 | − | 9.31143e9i | 0.00360500 | − | 0.0265058i | ||||
\(85\) | −8.18404e10 | −0.216997 | ||||||||
\(86\) | −1.64518e11 | + | 2.84953e11i | −0.406652 | + | 0.704341i | ||||
\(87\) | −1.54090e10 | + | 8.89637e9i | −0.0355351 | + | 0.0205162i | ||||
\(88\) | 1.58156e11 | + | 2.73935e11i | 0.340558 | + | 0.589864i | ||||
\(89\) | −2.25422e11 | − | 1.30148e11i | −0.453583 | − | 0.261876i | 0.255759 | − | 0.966741i | \(-0.417675\pi\) |
−0.709342 | + | 0.704864i | \(0.751008\pi\) | |||||||
\(90\) | 6.87265e10i | 0.129321i | ||||||||
\(91\) | 7.59904e11 | − | 3.10960e11i | 1.33817 | − | 0.547590i | ||||
\(92\) | 6.38882e10 | 0.105364 | ||||||||
\(93\) | −3.41855e10 | + | 5.92110e10i | −0.0528377 | + | 0.0915176i | ||||
\(94\) | 1.67822e11 | − | 9.68921e10i | 0.243266 | − | 0.140450i | ||||
\(95\) | −7.53061e10 | − | 1.30434e11i | −0.102444 | − | 0.177439i | ||||
\(96\) | −6.41112e9 | − | 3.70146e9i | −0.00819043 | − | 0.00472875i | ||||
\(97\) | 4.10959e11i | 0.493364i | 0.969096 | + | 0.246682i | \(0.0793404\pi\) | ||||
−0.969096 | + | 0.246682i | \(0.920660\pi\) | |||||||
\(98\) | 1.56937e11 | + | 6.06407e11i | 0.177161 | + | 0.684554i | ||||
\(99\) | 1.80856e12 | 1.92097 | ||||||||
\(100\) | −2.41590e11 | + | 4.18446e11i | −0.241590 | + | 0.418446i | ||||
\(101\) | 1.20728e12 | − | 6.97024e11i | 1.13731 | − | 0.656628i | 0.191550 | − | 0.981483i | \(-0.438649\pi\) |
0.945764 | + | 0.324855i | \(0.105315\pi\) | |||||||
\(102\) | −2.52018e10 | − | 4.36508e10i | −0.0223785 | − | 0.0387607i | ||||
\(103\) | −1.25187e12 | − | 7.22767e11i | −1.04842 | − | 0.605306i | −0.126213 | − | 0.992003i | \(-0.540282\pi\) |
−0.922207 | + | 0.386698i | \(0.873616\pi\) | |||||||
\(104\) | − | 6.46822e11i | − | 0.511193i | ||||||
\(105\) | 4.98014e9 | + | 1.21702e10i | 0.00371626 | + | 0.00908156i | ||||
\(106\) | 3.27081e11 | 0.230579 | ||||||||
\(107\) | −2.85284e11 | + | 4.94126e11i | −0.190097 | + | 0.329257i | −0.945282 | − | 0.326254i | \(-0.894213\pi\) |
0.755186 | + | 0.655511i | \(0.227547\pi\) | |||||||
\(108\) | −7.34179e10 | + | 4.23879e10i | −0.0462658 | + | 0.0267115i | ||||
\(109\) | −1.41409e11 | − | 2.44928e11i | −0.0843176 | − | 0.146042i | 0.820783 | − | 0.571241i | \(-0.193538\pi\) |
−0.905100 | + | 0.425198i | \(0.860204\pi\) | |||||||
\(110\) | −3.83325e11 | − | 2.21313e11i | −0.216377 | − | 0.124925i | ||||
\(111\) | 7.08558e10i | 0.0378824i | ||||||||
\(112\) | 4.88954e11 | + | 6.65017e10i | 0.247719 | + | 0.0336918i | ||||
\(113\) | −1.58024e12 | −0.759017 | −0.379509 | − | 0.925188i | \(-0.623907\pi\) | ||||
−0.379509 | + | 0.925188i | \(0.623907\pi\) | |||||||
\(114\) | 4.63793e10 | − | 8.03313e10i | 0.0211298 | − | 0.0365979i | ||||
\(115\) | −7.74231e10 | + | 4.47002e10i | −0.0334721 | + | 0.0193251i | ||||
\(116\) | −4.67158e11 | − | 8.09142e11i | −0.191742 | − | 0.332106i | ||||
\(117\) | −3.20281e12 | − | 1.84914e12i | −1.24858 | − | 0.720867i | ||||
\(118\) | 2.33367e11i | 0.0864466i | ||||||||
\(119\) | 2.65669e12 | + | 2.05667e12i | 0.935534 | + | 0.724241i | ||||
\(120\) | 1.03591e10 | 0.00346925 | ||||||||
\(121\) | −4.25469e12 | + | 7.36934e12i | −1.35567 | + | 2.34810i | ||||
\(122\) | 2.00325e11 | − | 1.15658e11i | 0.0607543 | − | 0.0350765i | ||||
\(123\) | 1.00259e11 | + | 1.73654e11i | 0.0289529 | + | 0.0501479i | ||||
\(124\) | −3.10924e12 | − | 1.79512e12i | −0.855311 | − | 0.493814i | ||||
\(125\) | − | 1.37579e12i | − | 0.360655i | ||||||
\(126\) | 1.72712e12 | − | 2.23099e12i | 0.431617 | − | 0.557538i | ||||
\(127\) | 5.21870e12 | 1.24377 | 0.621885 | − | 0.783109i | \(-0.286367\pi\) | ||||
0.621885 | + | 0.783109i | \(0.286367\pi\) | |||||||
\(128\) | 1.94368e11 | − | 3.36655e11i | 0.0441942 | − | 0.0765466i | ||||
\(129\) | 2.45577e11 | − | 1.41784e11i | 0.0532904 | − | 0.0307672i | ||||
\(130\) | 4.52558e11 | + | 7.83853e11i | 0.0937592 | + | 0.162396i | ||||
\(131\) | −3.96077e12 | − | 2.28675e12i | −0.783703 | − | 0.452471i | 0.0540381 | − | 0.998539i | \(-0.482791\pi\) |
−0.837741 | + | 0.546068i | \(0.816124\pi\) | |||||||
\(132\) | − | 2.72603e11i | − | 0.0515332i | ||||||
\(133\) | −8.33266e11 | + | 6.12659e12i | −0.150548 | + | 1.10690i | ||||
\(134\) | 3.43504e12 | 0.593340 | ||||||||
\(135\) | 5.93145e10 | − | 1.02736e11i | 0.00979847 | − | 0.0169714i | ||||
\(136\) | 2.29216e12 | − | 1.32338e12i | 0.362252 | − | 0.209146i | ||||
\(137\) | −2.84567e12 | − | 4.92884e12i | −0.430389 | − | 0.745455i | 0.566518 | − | 0.824049i | \(-0.308290\pi\) |
−0.996907 | + | 0.0785942i | \(0.974957\pi\) | |||||||
\(138\) | −4.76831e10 | − | 2.75299e10i | −0.00690383 | − | 0.00398593i | ||||
\(139\) | 3.77435e12i | 0.523304i | 0.965162 | + | 0.261652i | \(0.0842672\pi\) | ||||
−0.965162 | + | 0.261652i | \(0.915733\pi\) | |||||||
\(140\) | −6.39069e11 | + | 2.61513e11i | −0.0848750 | + | 0.0347316i | ||||
\(141\) | −1.67006e11 | −0.0212529 | ||||||||
\(142\) | −2.55897e12 | + | 4.43227e12i | −0.312130 | + | 0.540625i | ||||
\(143\) | 2.06273e13 | − | 1.19092e13i | 2.41227 | − | 1.39273i | ||||
\(144\) | −1.11132e12 | − | 1.92487e12i | −0.124642 | − | 0.215887i | ||||
\(145\) | 1.13225e12 | + | 6.53707e11i | 0.121825 | + | 0.0703356i | ||||
\(146\) | − | 7.90047e12i | − | 0.815710i | ||||||
\(147\) | 1.44175e11 | − | 5.20218e11i | 0.0142885 | − | 0.0515563i | ||||
\(148\) | −3.72072e12 | −0.354043 | ||||||||
\(149\) | −3.34471e12 | + | 5.79320e12i | −0.305661 | + | 0.529421i | −0.977408 | − | 0.211360i | \(-0.932211\pi\) |
0.671747 | + | 0.740781i | \(0.265544\pi\) | |||||||
\(150\) | 3.60623e11 | − | 2.08206e11i | 0.0316596 | − | 0.0182787i | ||||
\(151\) | −2.61840e11 | − | 4.53520e11i | −0.0220889 | − | 0.0382591i | 0.854770 | − | 0.519008i | \(-0.173698\pi\) |
−0.876859 | + | 0.480748i | \(0.840365\pi\) | |||||||
\(152\) | 4.21829e12 | + | 2.43543e12i | 0.342038 | + | 0.197476i | ||||
\(153\) | − | 1.51331e13i | − | 1.17972i | ||||||
\(154\) | 6.88179e12 | + | 1.68173e13i | 0.515913 | + | 1.26076i | ||||
\(155\) | 5.02392e12 | 0.362287 | ||||||||
\(156\) | −2.78720e11 | + | 4.82757e11i | −0.0193384 | + | 0.0334951i | ||||
\(157\) | −1.35363e13 | + | 7.81517e12i | −0.903860 | + | 0.521844i | −0.878450 | − | 0.477833i | \(-0.841422\pi\) |
−0.0254094 | + | 0.999677i | \(0.508089\pi\) | |||||||
\(158\) | 5.11580e12 | + | 8.86083e12i | 0.328830 | + | 0.569550i | ||||
\(159\) | −2.44118e11 | − | 1.40941e11i | −0.0151083 | − | 0.00872280i | ||||
\(160\) | 5.43969e11i | 0.0324231i | ||||||||
\(161\) | 3.63663e12 | + | 4.94610e11i | 0.208806 | + | 0.0283993i | ||||
\(162\) | −1.26717e13 | −0.701041 | ||||||||
\(163\) | −1.21647e12 | + | 2.10698e12i | −0.0648597 | + | 0.112340i | −0.896632 | − | 0.442777i | \(-0.853993\pi\) |
0.831772 | + | 0.555117i | \(0.187327\pi\) | |||||||
\(164\) | −9.11875e12 | + | 5.26471e12i | −0.468675 | + | 0.270590i | ||||
\(165\) | 1.90730e11 | + | 3.30355e11i | 0.00945183 | + | 0.0163711i | ||||
\(166\) | −1.61952e13 | − | 9.35031e12i | −0.773995 | − | 0.446866i | ||||
\(167\) | − | 5.39380e12i | − | 0.248654i | −0.992241 | − | 0.124327i | \(-0.960323\pi\) | ||
0.992241 | − | 0.124327i | \(-0.0396772\pi\) | |||||||
\(168\) | −3.36276e11 | − | 2.60327e11i | −0.0149569 | − | 0.0115788i | ||||
\(169\) | −2.54076e13 | −1.09055 | ||||||||
\(170\) | −1.85184e12 | + | 3.20748e12i | −0.0767201 | + | 0.132883i | ||||
\(171\) | 2.41186e13 | − | 1.39249e13i | 0.964662 | − | 0.556948i | ||||
\(172\) | 7.44523e12 | + | 1.28955e13i | 0.287546 | + | 0.498045i | ||||
\(173\) | −2.20779e13 | − | 1.27467e13i | −0.823533 | − | 0.475467i | 0.0281004 | − | 0.999605i | \(-0.491054\pi\) |
−0.851633 | + | 0.524138i | \(0.824388\pi\) | |||||||
\(174\) | 8.05207e11i | 0.0290143i | ||||||||
\(175\) | −1.69913e13 | + | 2.19483e13i | −0.591558 | + | 0.764141i | ||||
\(176\) | 1.43147e13 | 0.481622 | ||||||||
\(177\) | 1.00560e11 | − | 1.74174e11i | 0.00327027 | − | 0.00566428i | ||||
\(178\) | −1.02015e13 | + | 5.88981e12i | −0.320732 | + | 0.185175i | ||||
\(179\) | −1.79942e13 | − | 3.11668e13i | −0.547033 | − | 0.947489i | −0.998476 | − | 0.0551891i | \(-0.982424\pi\) |
0.451443 | − | 0.892300i | \(-0.350910\pi\) | |||||||
\(180\) | 2.69352e12 | + | 1.55510e12i | 0.0791927 | + | 0.0457219i | ||||
\(181\) | 1.12708e13i | 0.320542i | 0.987073 | + | 0.160271i | \(0.0512368\pi\) | ||||
−0.987073 | + | 0.160271i | \(0.948763\pi\) | |||||||
\(182\) | 5.00758e12 | − | 3.68182e13i | 0.137784 | − | 1.01306i | ||||
\(183\) | −1.99351e11 | −0.00530777 | ||||||||
\(184\) | 1.44562e12 | − | 2.50389e12i | 0.0372519 | − | 0.0645222i | ||||
\(185\) | 4.50896e12 | − | 2.60325e12i | 0.112473 | − | 0.0649360i | ||||
\(186\) | 1.54706e12 | + | 2.67958e12i | 0.0373619 | + | 0.0647127i | ||||
\(187\) | 8.44056e13 | + | 4.87316e13i | 1.97388 | + | 1.13962i | ||||
\(188\) | − | 8.76967e12i | − | 0.198626i | ||||||
\(189\) | −4.50724e12 | + | 1.84440e12i | −0.0988870 | + | 0.0404655i | ||||
\(190\) | −6.81593e12 | −0.144878 | ||||||||
\(191\) | 4.94665e12 | − | 8.56784e12i | 0.101885 | − | 0.176470i | −0.810576 | − | 0.585633i | \(-0.800846\pi\) |
0.912461 | + | 0.409163i | \(0.134179\pi\) | |||||||
\(192\) | −2.90134e11 | + | 1.67509e11i | −0.00579151 | + | 0.00334373i | ||||
\(193\) | 2.19536e13 | + | 3.80247e13i | 0.424777 | + | 0.735736i | 0.996400 | − | 0.0847810i | \(-0.0270191\pi\) |
−0.571622 | + | 0.820517i | \(0.693686\pi\) | |||||||
\(194\) | 1.61062e13 | + | 9.29893e12i | 0.302123 | + | 0.174431i | ||||
\(195\) | − | 7.80041e11i | − | 0.0141876i | ||||||
\(196\) | 2.73173e13 | + | 7.57078e12i | 0.481838 | + | 0.133538i | ||||
\(197\) | 3.88271e13 | 0.664259 | 0.332129 | − | 0.943234i | \(-0.392233\pi\) | ||||
0.332129 | + | 0.943234i | \(0.392233\pi\) | |||||||
\(198\) | 4.09230e13 | − | 7.08807e13i | 0.679166 | − | 1.17635i | ||||
\(199\) | −1.63961e13 | + | 9.46629e12i | −0.264011 | + | 0.152427i | −0.626163 | − | 0.779692i | \(-0.715376\pi\) |
0.362152 | + | 0.932119i | \(0.382042\pi\) | |||||||
\(200\) | 1.09331e13 | + | 1.89367e13i | 0.170830 | + | 0.295886i | ||||
\(201\) | −2.56375e12 | − | 1.48018e12i | −0.0388777 | − | 0.0224460i | ||||
\(202\) | − | 6.30874e13i | − | 0.928613i | ||||||
\(203\) | −2.03272e13 | − | 4.96744e13i | −0.290471 | − | 0.709834i | ||||
\(204\) | −2.28101e12 | −0.0316480 | ||||||||
\(205\) | 7.36706e12 | − | 1.27601e13i | 0.0992592 | − | 0.171922i | ||||
\(206\) | −5.66531e13 | + | 3.27087e13i | −0.741345 | + | 0.428016i | ||||
\(207\) | −8.26553e12 | − | 1.43163e13i | −0.105063 | − | 0.181974i | ||||
\(208\) | −2.53501e13 | − | 1.46359e13i | −0.313040 | − | 0.180734i | ||||
\(209\) | 1.79363e14i | 2.15206i | ||||||||
\(210\) | 5.89659e11 | + | 8.01984e10i | 0.00687520 | + | 0.000935082i | ||||
\(211\) | −3.19733e13 | −0.362320 | −0.181160 | − | 0.983454i | \(-0.557985\pi\) | ||||
−0.181160 | + | 0.983454i | \(0.557985\pi\) | |||||||
\(212\) | 7.40099e12 | − | 1.28189e13i | 0.0815220 | − | 0.141200i | ||||
\(213\) | 3.81980e12 | − | 2.20536e12i | 0.0409037 | − | 0.0236158i | ||||
\(214\) | 1.29105e13 | + | 2.23616e13i | 0.134419 | + | 0.232820i | ||||
\(215\) | −1.80451e13 | − | 1.04183e13i | −0.182695 | − | 0.105479i | ||||
\(216\) | 3.83651e12i | 0.0377758i | ||||||||
\(217\) | −1.63086e14 | − | 1.26252e14i | −1.56192 | − | 1.20915i | ||||
\(218\) | −1.27989e13 | −0.119243 | ||||||||
\(219\) | −3.40437e12 | + | 5.89654e12i | −0.0308583 | + | 0.0534481i | ||||
\(220\) | −1.73473e13 | + | 1.00155e13i | −0.153002 | + | 0.0883355i | ||||
\(221\) | −9.96503e13 | − | 1.72599e14i | −0.855313 | − | 1.48144i | ||||
\(222\) | 2.77697e12 | + | 1.60328e12i | 0.0231981 | + | 0.0133935i | ||||
\(223\) | 1.78662e14i | 1.45279i | 0.687279 | + | 0.726394i | \(0.258805\pi\) | ||||
−0.687279 | + | 0.726394i | \(0.741195\pi\) | |||||||
\(224\) | 1.36701e13 | − | 1.76582e13i | 0.108214 | − | 0.139785i | ||||
\(225\) | 1.25023e14 | 0.963594 | ||||||||
\(226\) | −3.57567e13 | + | 6.19324e13i | −0.268353 | + | 0.464801i | ||||
\(227\) | −1.41352e14 | + | 8.16094e13i | −1.03311 | + | 0.596465i | −0.917873 | − | 0.396873i | \(-0.870095\pi\) |
−0.115234 | + | 0.993338i | \(0.536762\pi\) | |||||||
\(228\) | −2.09889e12 | − | 3.63538e12i | −0.0149410 | − | 0.0258786i | ||||
\(229\) | 1.71369e14 | + | 9.89401e13i | 1.18828 | + | 0.686056i | 0.957916 | − | 0.287048i | \(-0.0926739\pi\) |
0.230367 | + | 0.973104i | \(0.426007\pi\) | |||||||
\(230\) | 4.04580e12i | 0.0273299i | ||||||||
\(231\) | 2.11044e12 | − | 1.55170e13i | 0.0138900 | − | 0.102126i | ||||
\(232\) | −4.22823e13 | −0.271163 | ||||||||
\(233\) | 9.54556e13 | − | 1.65334e14i | 0.596576 | − | 1.03330i | −0.396746 | − | 0.917928i | \(-0.629861\pi\) |
0.993322 | − | 0.115372i | \(-0.0368059\pi\) | |||||||
\(234\) | −1.44943e14 | + | 8.36826e13i | −0.882878 | + | 0.509730i | ||||
\(235\) | 6.13582e12 | + | 1.06276e13i | 0.0364305 | + | 0.0630995i | ||||
\(236\) | 9.14610e12 | + | 5.28050e12i | 0.0529375 | + | 0.0305635i | ||||
\(237\) | − | 8.81774e12i | − | 0.0497585i | ||||||
\(238\) | 1.40719e14 | − | 5.75834e13i | 0.774266 | − | 0.316837i | ||||
\(239\) | −1.79102e14 | −0.960979 | −0.480490 | − | 0.877000i | \(-0.659541\pi\) | ||||
−0.480490 | + | 0.877000i | \(0.659541\pi\) | |||||||
\(240\) | 2.34400e11 | − | 4.05993e11i | 0.00122656 | − | 0.00212447i | ||||
\(241\) | 1.71712e14 | − | 9.91377e13i | 0.876390 | − | 0.505984i | 0.00692345 | − | 0.999976i | \(-0.497796\pi\) |
0.869466 | + | 0.493992i | \(0.164463\pi\) | |||||||
\(242\) | 1.92545e14 | + | 3.33498e14i | 0.958607 | + | 1.66036i | ||||
\(243\) | 2.85089e13 | + | 1.64596e13i | 0.138466 | + | 0.0799434i | ||||
\(244\) | − | 1.04682e13i | − | 0.0496057i | ||||||
\(245\) | −3.84015e13 | + | 9.93822e12i | −0.177563 | + | 0.0459528i | ||||
\(246\) | 9.07440e12 | 0.0409456 | ||||||||
\(247\) | 1.83388e14 | − | 3.17637e14i | 0.807587 | − | 1.39878i | ||||
\(248\) | −1.40708e14 | + | 8.12378e13i | −0.604796 | + | 0.349179i | ||||
\(249\) | 8.05823e12 | + | 1.39573e13i | 0.0338099 | + | 0.0585604i | ||||
\(250\) | −5.39198e13 | − | 3.11306e13i | −0.220855 | − | 0.127511i | ||||
\(251\) | − | 2.18276e14i | − | 0.872897i | −0.899729 | − | 0.436448i | \(-0.856236\pi\) | ||
0.899729 | − | 0.436448i | \(-0.143764\pi\) | |||||||
\(252\) | −4.83564e13 | − | 1.18170e14i | −0.188821 | − | 0.461430i | ||||
\(253\) | 1.06466e14 | 0.405966 | ||||||||
\(254\) | 1.18086e14 | − | 2.04530e14i | 0.439739 | − | 0.761650i | ||||
\(255\) | 2.76425e12 | − | 1.59594e12i | 0.0100539 | − | 0.00580464i | ||||
\(256\) | −8.79609e12 | − | 1.52353e13i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 3.59299e14 | + | 2.07441e14i | 1.24697 | + | 0.719941i | 0.970505 | − | 0.241082i | \(-0.0775023\pi\) |
0.276469 | + | 0.961023i | \(0.410836\pi\) | |||||||
\(258\) | − | 1.28328e13i | − | 0.0435114i | ||||||
\(259\) | −2.11790e14 | − | 2.88051e13i | −0.701627 | − | 0.0954270i | ||||
\(260\) | 4.09609e13 | 0.132596 | ||||||||
\(261\) | −1.20877e14 | + | 2.09365e14i | −0.382385 | + | 0.662311i | ||||
\(262\) | −1.79244e14 | + | 1.03486e14i | −0.554162 | + | 0.319945i | ||||
\(263\) | −5.88475e13 | − | 1.01927e14i | −0.177825 | − | 0.308003i | 0.763310 | − | 0.646032i | \(-0.223573\pi\) |
−0.941135 | + | 0.338030i | \(0.890240\pi\) | |||||||
\(264\) | −1.06838e13 | − | 6.16830e12i | −0.0315575 | − | 0.0182197i | ||||
\(265\) | 2.07128e13i | 0.0598087i | ||||||||
\(266\) | 2.21258e14 | + | 1.71286e14i | 0.624610 | + | 0.483540i | ||||
\(267\) | 1.01518e13 | 0.0280206 | ||||||||
\(268\) | 7.77262e13 | − | 1.34626e14i | 0.209777 | − | 0.363345i | ||||
\(269\) | 3.43540e14 | − | 1.98343e14i | 0.906700 | − | 0.523483i | 0.0273318 | − | 0.999626i | \(-0.491299\pi\) |
0.879368 | + | 0.476143i | \(0.157966\pi\) | |||||||
\(270\) | −2.68427e12 | − | 4.64929e12i | −0.00692856 | − | 0.0120006i | ||||
\(271\) | −1.79827e14 | − | 1.03823e14i | −0.453983 | − | 0.262107i | 0.255528 | − | 0.966802i | \(-0.417751\pi\) |
−0.709511 | + | 0.704694i | \(0.751084\pi\) | |||||||
\(272\) | − | 1.19778e14i | − | 0.295777i | ||||||
\(273\) | −1.96027e13 | + | 2.53216e13i | −0.0473521 | + | 0.0611667i | ||||
\(274\) | −2.57561e14 | −0.608662 | ||||||||
\(275\) | −4.02597e14 | + | 6.97319e14i | −0.930839 | + | 1.61226i | ||||
\(276\) | −2.15789e12 | + | 1.24586e12i | −0.00488175 | + | 0.00281848i | ||||
\(277\) | −1.57997e14 | − | 2.73658e14i | −0.349759 | − | 0.605801i | 0.636447 | − | 0.771320i | \(-0.280403\pi\) |
−0.986207 | + | 0.165520i | \(0.947070\pi\) | |||||||
\(278\) | 1.47924e14 | + | 8.54039e13i | 0.320457 | + | 0.185016i | ||||
\(279\) | 9.28974e14i | 1.96960i | ||||||||
\(280\) | −4.21131e12 | + | 3.09637e13i | −0.00873914 | + | 0.0642546i | ||||
\(281\) | −3.27034e14 | −0.664286 | −0.332143 | − | 0.943229i | \(-0.607772\pi\) | ||||
−0.332143 | + | 0.943229i | \(0.607772\pi\) | |||||||
\(282\) | −3.77891e12 | + | 6.54527e12i | −0.00751402 | + | 0.0130147i | ||||
\(283\) | 6.95128e13 | − | 4.01332e13i | 0.135315 | − | 0.0781242i | −0.430814 | − | 0.902441i | \(-0.641774\pi\) |
0.566129 | + | 0.824316i | \(0.308440\pi\) | |||||||
\(284\) | 1.15806e14 | + | 2.00582e14i | 0.220709 | + | 0.382280i | ||||
\(285\) | 5.08709e12 | + | 2.93703e12i | 0.00949292 | + | 0.00548074i | ||||
\(286\) | − | 1.07790e15i | − | 1.96961i | ||||||
\(287\) | −5.59814e14 | + | 2.29081e14i | −1.00173 | + | 0.409918i | ||||
\(288\) | −1.00585e14 | −0.176271 | ||||||||
\(289\) | 1.16451e14 | − | 2.01699e14i | 0.199874 | − | 0.346192i | ||||
\(290\) | 5.12400e13 | − | 2.95834e13i | 0.0861432 | − | 0.0497348i | ||||
\(291\) | −8.01395e12 | − | 1.38806e13i | −0.0131974 | − | 0.0228586i | ||||
\(292\) | −3.09634e14 | − | 1.78767e14i | −0.499518 | − | 0.288397i | ||||
\(293\) | − | 3.68606e14i | − | 0.582581i | −0.956635 | − | 0.291290i | \(-0.905915\pi\) | ||
0.956635 | − | 0.291290i | \(-0.0940846\pi\) | |||||||
\(294\) | −1.71260e13 | − | 1.74217e13i | −0.0265199 | − | 0.0269778i | ||||
\(295\) | −1.47783e13 | −0.0224229 | ||||||||
\(296\) | −8.41903e13 | + | 1.45822e14i | −0.125173 | + | 0.216806i | ||||
\(297\) | −1.22347e14 | + | 7.06372e13i | −0.178261 | + | 0.102919i | ||||
\(298\) | 1.51364e14 | + | 2.62170e14i | 0.216135 | + | 0.374357i | ||||
\(299\) | −1.88543e14 | − | 1.08856e14i | −0.263866 | − | 0.152343i | ||||
\(300\) | − | 1.88446e13i | − | 0.0258500i | ||||||
\(301\) | 3.23961e14 | + | 7.91675e14i | 0.435606 | + | 1.06451i | ||||
\(302\) | −2.36990e13 | −0.0312384 | ||||||||
\(303\) | −2.71848e13 | + | 4.70855e13i | −0.0351294 | + | 0.0608459i | ||||
\(304\) | 1.90898e14 | − | 1.10215e14i | 0.241858 | − | 0.139637i | ||||
\(305\) | 7.32419e12 | + | 1.26859e13i | 0.00909831 | + | 0.0157587i | ||||
\(306\) | −5.93095e14 | − | 3.42424e14i | −0.722430 | − | 0.417095i | ||||
\(307\) | − | 6.36629e14i | − | 0.760425i | −0.924899 | − | 0.380212i | \(-0.875851\pi\) | ||
0.924899 | − | 0.380212i | \(-0.124149\pi\) | |||||||
\(308\) | 8.14817e14 | + | 1.10822e14i | 0.954456 | + | 0.129814i | ||||
\(309\) | 5.63776e13 | 0.0647673 | ||||||||
\(310\) | 1.13678e14 | − | 1.96897e14i | 0.128088 | − | 0.221854i | ||||
\(311\) | 1.14101e15 | − | 6.58762e14i | 1.26103 | − | 0.728059i | 0.287760 | − | 0.957703i | \(-0.407089\pi\) |
0.973275 | + | 0.229644i | \(0.0737561\pi\) | |||||||
\(312\) | 1.26134e13 | + | 2.18471e13i | 0.0136743 | + | 0.0236846i | ||||
\(313\) | 6.11719e14 | + | 3.53176e14i | 0.650558 | + | 0.375600i | 0.788670 | − | 0.614817i | \(-0.210770\pi\) |
−0.138112 | + | 0.990417i | \(0.544103\pi\) | |||||||
\(314\) | 7.07348e14i | 0.737999i | ||||||||
\(315\) | 1.41280e14 | + | 1.09372e14i | 0.144617 | + | 0.111955i | ||||
\(316\) | 4.63030e14 | 0.465036 | ||||||||
\(317\) | −3.73216e14 | + | 6.46429e14i | −0.367794 | + | 0.637038i | −0.989220 | − | 0.146435i | \(-0.953220\pi\) |
0.621426 | + | 0.783473i | \(0.286554\pi\) | |||||||
\(318\) | −1.10475e13 | + | 6.37828e12i | −0.0106832 | + | 0.00616795i | ||||
\(319\) | −7.78496e14 | − | 1.34839e15i | −0.738775 | − | 1.27960i | ||||
\(320\) | 2.13191e13 | + | 1.23086e13i | 0.0198550 | + | 0.0114633i | ||||
\(321\) | − | 2.22528e13i | − | 0.0203402i | ||||||
\(322\) | 1.01672e14 | − | 1.31334e14i | 0.0912151 | − | 0.117826i | ||||
\(323\) | 1.50082e15 | 1.32164 | ||||||||
\(324\) | −2.86727e14 | + | 4.96626e14i | −0.247855 | + | 0.429298i | ||||
\(325\) | 1.42593e15 | − | 8.23264e14i | 1.21004 | − | 0.698616i | ||||
\(326\) | 5.50510e13 | + | 9.53512e13i | 0.0458627 | + | 0.0794366i | ||||
\(327\) | 9.55249e12 | + | 5.51513e12i | 0.00781322 | + | 0.00451096i | ||||
\(328\) | 4.76507e14i | 0.382672i | ||||||||
\(329\) | 6.78932e13 | − | 4.99185e14i | 0.0535366 | − | 0.393628i | ||||
\(330\) | 1.72629e13 | 0.0133669 | ||||||||
\(331\) | −5.66623e14 | + | 9.81420e14i | −0.430850 | + | 0.746255i | −0.996947 | − | 0.0780844i | \(-0.975120\pi\) |
0.566096 | + | 0.824339i | \(0.308453\pi\) | |||||||
\(332\) | −7.32912e14 | + | 4.23147e14i | −0.547297 | + | 0.315982i | ||||
\(333\) | 4.81368e14 | + | 8.33754e14i | 0.353030 | + | 0.611466i | ||||
\(334\) | −2.11393e14 | − | 1.22048e14i | −0.152269 | − | 0.0879126i | ||||
\(335\) | 2.17529e14i | 0.153903i | ||||||||
\(336\) | −1.78118e13 | + | 7.28874e12i | −0.0123786 | + | 0.00506544i | ||||
\(337\) | −5.02783e13 | −0.0343242 | −0.0171621 | − | 0.999853i | \(-0.505463\pi\) | ||||
−0.0171621 | + | 0.999853i | \(0.505463\pi\) | |||||||
\(338\) | −5.74909e14 | + | 9.95772e14i | −0.385566 | + | 0.667820i | ||||
\(339\) | 5.33742e13 | − | 3.08156e13i | 0.0351668 | − | 0.0203036i | ||||
\(340\) | 8.38046e13 | + | 1.45154e14i | 0.0542493 | + | 0.0939626i | ||||
\(341\) | −5.18139e15 | − | 2.99148e15i | −3.29549 | − | 1.90265i | ||||
\(342\) | − | 1.26034e15i | − | 0.787643i | ||||||
\(343\) | 1.49633e15 | + | 6.42427e14i | 0.918891 | + | 0.394511i | ||||
\(344\) | 6.73865e14 | 0.406652 | ||||||||
\(345\) | 1.74336e12 | − | 3.01960e12i | 0.00103389 | − | 0.00179075i | ||||
\(346\) | −9.99131e14 | + | 5.76849e14i | −0.582326 | + | 0.336206i | ||||
\(347\) | −4.20033e14 | − | 7.27518e14i | −0.240606 | − | 0.416742i | 0.720281 | − | 0.693682i | \(-0.244013\pi\) |
−0.960887 | + | 0.276941i | \(0.910679\pi\) | |||||||
\(348\) | 3.15575e13 | + | 1.82198e13i | 0.0177676 | + | 0.0102581i | ||||
\(349\) | − | 4.32312e14i | − | 0.239246i | −0.992819 | − | 0.119623i | \(-0.961831\pi\) | ||
0.992819 | − | 0.119623i | \(-0.0381686\pi\) | |||||||
\(350\) | 4.75727e14 | + | 1.16255e15i | 0.258791 | + | 0.632418i | ||||
\(351\) | 2.88889e14 | 0.154486 | ||||||||
\(352\) | 3.23904e14 | − | 5.61019e14i | 0.170279 | − | 0.294932i | ||||
\(353\) | −2.08818e15 | + | 1.20561e15i | −1.07925 | + | 0.623103i | −0.930693 | − | 0.365802i | \(-0.880795\pi\) |
−0.148553 | + | 0.988904i | \(0.547462\pi\) | |||||||
\(354\) | −4.55081e12 | − | 7.88223e12i | −0.00231243 | − | 0.00400525i | ||||
\(355\) | −2.80680e14 | − | 1.62050e14i | −0.140230 | − | 0.0809618i | ||||
\(356\) | 5.33085e14i | 0.261876i | ||||||||
\(357\) | −1.29839e14 | − | 1.76591e13i | −0.0627185 | − | 0.00853022i | ||||
\(358\) | −1.62865e15 | −0.773622 | ||||||||
\(359\) | −3.22382e14 | + | 5.58381e14i | −0.150593 | + | 0.260834i | −0.931445 | − | 0.363881i | \(-0.881451\pi\) |
0.780853 | + | 0.624715i | \(0.214785\pi\) | |||||||
\(360\) | 1.21895e14 | − | 7.03760e13i | 0.0559977 | − | 0.0323303i | ||||
\(361\) | 2.74336e14 | + | 4.75164e14i | 0.123948 | + | 0.214684i | ||||
\(362\) | 4.41725e14 | + | 2.55030e14i | 0.196291 | + | 0.113329i | ||||
\(363\) | − | 3.31876e14i | − | 0.145056i | ||||||
\(364\) | −1.32967e15 | − | 1.02936e15i | −0.571655 | − | 0.442546i | ||||
\(365\) | 5.00308e14 | 0.211583 | ||||||||
\(366\) | −4.51080e12 | + | 7.81294e12i | −0.00187658 | + | 0.00325033i | ||||
\(367\) | 1.22970e15 | − | 7.09969e14i | 0.503273 | − | 0.290565i | −0.226791 | − | 0.973943i | \(-0.572823\pi\) |
0.730064 | + | 0.683379i | \(0.239490\pi\) | |||||||
\(368\) | −6.54215e13 | − | 1.13313e14i | −0.0263411 | − | 0.0456241i | ||||
\(369\) | 2.35948e15 | + | 1.36224e15i | 0.934668 | + | 0.539631i | ||||
\(370\) | − | 2.35619e14i | − | 0.0918334i | ||||||
\(371\) | 5.20519e14 | − | 6.72377e14i | 0.199615 | − | 0.257851i | ||||
\(372\) | 1.40024e14 | 0.0528377 | ||||||||
\(373\) | −1.45705e15 | + | 2.52368e15i | −0.541030 | + | 0.937092i | 0.457815 | + | 0.889047i | \(0.348632\pi\) |
−0.998845 | + | 0.0480443i | \(0.984701\pi\) | |||||||
\(374\) | 3.81976e15 | − | 2.20534e15i | 1.39575 | − | 0.805835i | ||||
\(375\) | 2.68288e13 | + | 4.64688e13i | 0.00964746 | + | 0.0167099i | ||||
\(376\) | −3.43700e14 | − | 1.98435e14i | −0.121633 | − | 0.0702249i | ||||
\(377\) | 3.18386e15i | 1.10893i | ||||||||
\(378\) | −2.97016e13 | + | 2.18381e14i | −0.0101819 | + | 0.0748624i | ||||
\(379\) | 1.27572e15 | 0.430446 | 0.215223 | − | 0.976565i | \(-0.430952\pi\) | ||||
0.215223 | + | 0.976565i | \(0.430952\pi\) | |||||||
\(380\) | −1.54227e14 | + | 2.67129e14i | −0.0512222 | + | 0.0887195i | ||||
\(381\) | −1.76267e14 | + | 1.01768e14i | −0.0576264 | + | 0.0332706i | ||||
\(382\) | −2.23860e14 | − | 3.87736e14i | −0.0720437 | − | 0.124783i | ||||
\(383\) | 2.23693e15 | + | 1.29149e15i | 0.708696 | + | 0.409166i | 0.810578 | − | 0.585630i | \(-0.199153\pi\) |
−0.101882 | + | 0.994797i | \(0.532486\pi\) | |||||||
\(384\) | 1.51612e13i | 0.00472875i | ||||||||
\(385\) | −1.06498e15 | + | 4.35798e14i | −0.327021 | + | 0.133820i | ||||
\(386\) | 1.98701e15 | 0.600726 | ||||||||
\(387\) | 1.92645e15 | − | 3.33672e15i | 0.573446 | − | 0.993238i | ||||
\(388\) | 7.28885e14 | − | 4.20822e14i | 0.213633 | − | 0.123341i | ||||
\(389\) | −1.93820e15 | − | 3.35706e15i | −0.559373 | − | 0.968862i | −0.997549 | − | 0.0699729i | \(-0.977709\pi\) |
0.438176 | − | 0.898889i | \(-0.355625\pi\) | |||||||
\(390\) | −3.05713e13 | − | 1.76503e13i | −0.00868812 | − | 0.00501609i | ||||
\(391\) | − | 8.90859e14i | − | 0.249315i | ||||||
\(392\) | 9.14832e14 | − | 8.99307e14i | 0.252130 | − | 0.247851i | ||||
\(393\) | 1.78372e14 | 0.0484141 | ||||||||
\(394\) | 8.78556e14 | − | 1.52170e15i | 0.234851 | − | 0.406774i | ||||
\(395\) | −5.61124e14 | + | 3.23965e14i | −0.147732 | + | 0.0852934i | ||||
\(396\) | −1.85196e15 | − | 3.20769e15i | −0.480243 | − | 0.831805i | ||||
\(397\) | 6.39369e13 | + | 3.69140e13i | 0.0163308 | + | 0.00942861i | 0.508143 | − | 0.861273i | \(-0.330332\pi\) |
−0.491812 | + | 0.870701i | \(0.663665\pi\) | |||||||
\(398\) | 8.56791e14i | 0.215564i | ||||||||
\(399\) | −9.13279e13 | − | 2.23181e14i | −0.0226343 | − | 0.0553122i | ||||
\(400\) | 9.89552e14 | 0.241590 | ||||||||
\(401\) | 2.01262e15 | − | 3.48596e15i | 0.484055 | − | 0.838409i | −0.515777 | − | 0.856723i | \(-0.672497\pi\) |
0.999832 | + | 0.0183143i | \(0.00582995\pi\) | |||||||
\(402\) | −1.16022e14 | + | 6.69855e13i | −0.0274907 | + | 0.0158717i | ||||
\(403\) | 6.11721e15 | + | 1.05953e16i | 1.42798 | + | 2.47334i | ||||
\(404\) | −2.47251e15 | − | 1.42751e15i | −0.568657 | − | 0.328314i | ||||
\(405\) | − | 8.02449e14i | − | 0.181839i | ||||||
\(406\) | −2.40678e15 | − | 3.27342e14i | −0.537379 | − | 0.0730879i | ||||
\(407\) | −6.20039e15 | −1.36412 | ||||||||
\(408\) | −5.16133e13 | + | 8.93969e13i | −0.0111892 | + | 0.0193803i | ||||
\(409\) | −4.98822e15 | + | 2.87995e15i | −1.06563 | + | 0.615240i | −0.926984 | − | 0.375102i | \(-0.877608\pi\) |
−0.138644 | + | 0.990342i | \(0.544274\pi\) | |||||||
\(410\) | −3.33395e14 | − | 5.77457e14i | −0.0701869 | − | 0.121567i | ||||
\(411\) | 1.92231e14 | + | 1.10985e14i | 0.0398816 | + | 0.0230256i | ||||
\(412\) | 2.96045e15i | 0.605306i | ||||||||
\(413\) | 4.79731e14 | + | 3.71383e14i | 0.0966713 | + | 0.0748379i | ||||
\(414\) | −7.48110e14 | −0.148581 | ||||||||
\(415\) | 5.92121e14 | − | 1.02558e15i | 0.115910 | − | 0.200762i | ||||
\(416\) | −1.14722e15 | + | 6.62346e14i | −0.221353 | + | 0.127798i | ||||
\(417\) | −7.36023e13 | − | 1.27483e14i | −0.0139983 | − | 0.0242457i | ||||
\(418\) | 7.02957e15 | + | 4.05852e15i | 1.31786 | + | 0.760870i | ||||
\(419\) | − | 9.49384e15i | − | 1.75452i | −0.480018 | − | 0.877259i | \(-0.659370\pi\) | ||
0.480018 | − | 0.877259i | \(-0.340630\pi\) | |||||||
\(420\) | 1.64856e13 | − | 2.12951e13i | 0.00300337 | − | 0.00387958i | ||||
\(421\) | −8.68328e15 | −1.55952 | −0.779761 | − | 0.626078i | \(-0.784659\pi\) | ||||
−0.779761 | + | 0.626078i | \(0.784659\pi\) | |||||||
\(422\) | −7.23473e14 | + | 1.25309e15i | −0.128100 | + | 0.221875i | ||||
\(423\) | −1.96514e15 | + | 1.13458e15i | −0.343046 | + | 0.198058i | ||||
\(424\) | −3.34931e14 | − | 5.80117e14i | −0.0576448 | − | 0.0998437i | ||||
\(425\) | 5.83483e15 | + | 3.36874e15i | 0.990135 | + | 0.571655i | ||||
\(426\) | − | 1.99606e14i | − | 0.0333977i | ||||||
\(427\) | 8.10426e13 | − | 5.95866e14i | 0.0133704 | − | 0.0983063i | ||||
\(428\) | 1.16852e15 | 0.190097 | ||||||||
\(429\) | −4.64473e14 | + | 8.04491e14i | −0.0745104 | + | 0.129056i | ||||
\(430\) | −8.16626e14 | + | 4.71479e14i | −0.129185 | + | 0.0745850i | ||||
\(431\) | −1.34756e14 | − | 2.33405e14i | −0.0210226 | − | 0.0364121i | 0.855323 | − | 0.518096i | \(-0.173359\pi\) |
−0.876345 | + | 0.481683i | \(0.840026\pi\) | |||||||
\(432\) | 1.50360e14 | + | 8.68103e13i | 0.0231329 | + | 0.0133558i | ||||
\(433\) | 5.06968e15i | 0.769224i | 0.923078 | + | 0.384612i | \(0.125665\pi\) | ||||
−0.923078 | + | 0.384612i | \(0.874335\pi\) | |||||||
\(434\) | −8.63828e15 | + | 3.53486e15i | −1.29267 | + | 0.528974i | ||||
\(435\) | −5.09908e13 | −0.00752586 | ||||||||
\(436\) | −2.89606e14 | + | 5.01612e14i | −0.0421588 | + | 0.0730212i | ||||
\(437\) | 1.41982e15 | − | 8.19731e14i | 0.203865 | − | 0.117702i | ||||
\(438\) | 1.54064e14 | + | 2.66847e14i | 0.0218201 | + | 0.0377935i | ||||
\(439\) | 1.41866e14 | + | 8.19063e13i | 0.0198194 | + | 0.0114427i | 0.509877 | − | 0.860247i | \(-0.329691\pi\) |
−0.490058 | + | 0.871690i | \(0.663024\pi\) | |||||||
\(440\) | 9.06497e14i | 0.124925i | ||||||||
\(441\) | −1.83768e15 | − | 7.10083e15i | −0.249826 | − | 0.965334i | ||||
\(442\) | −9.01931e15 | −1.20959 | ||||||||
\(443\) | 4.35743e15 | − | 7.54729e15i | 0.576512 | − | 0.998548i | −0.419364 | − | 0.907818i | \(-0.637747\pi\) |
0.995876 | − | 0.0907297i | \(-0.0289199\pi\) | |||||||
\(444\) | 1.25671e14 | − | 7.25563e13i | 0.0164036 | − | 0.00947060i | ||||
\(445\) | −3.72980e14 | − | 6.46020e14i | −0.0480314 | − | 0.0831929i | ||||
\(446\) | 7.00208e15 | + | 4.04265e15i | 0.889647 | + | 0.513638i | ||||
\(447\) | − | 2.60895e14i | − | 0.0327055i | ||||||
\(448\) | −3.82740e14 | − | 9.35316e14i | −0.0473408 | − | 0.115689i | ||||
\(449\) | 5.38504e15 | 0.657220 | 0.328610 | − | 0.944466i | \(-0.393420\pi\) | ||||
0.328610 | + | 0.944466i | \(0.393420\pi\) | |||||||
\(450\) | 2.82894e15 | − | 4.89987e15i | 0.340682 | − | 0.590078i | ||||
\(451\) | −1.51959e16 | + | 8.77338e15i | −1.80579 | + | 1.04258i | ||||
\(452\) | 1.61816e15 | + | 2.80274e15i | 0.189754 | + | 0.328664i | ||||
\(453\) | 1.76878e13 | + | 1.02121e13i | 0.00204685 | + | 0.00118175i | ||||
\(454\) | 7.38644e15i | 0.843529i | ||||||||
\(455\) | 2.33156e15 | + | 3.17111e14i | 0.262772 | + | 0.0357391i | ||||
\(456\) | −1.89970e14 | −0.0211298 | ||||||||
\(457\) | 6.62808e15 | − | 1.14802e16i | 0.727596 | − | 1.26023i | −0.230300 | − | 0.973120i | \(-0.573971\pi\) |
0.957896 | − | 0.287114i | \(-0.0926959\pi\) | |||||||
\(458\) | 7.75529e15 | − | 4.47752e15i | 0.840243 | − | 0.485115i | ||||
\(459\) | 5.91058e14 | + | 1.02374e15i | 0.0632054 | + | 0.109475i | ||||
\(460\) | 1.58562e14 | + | 9.15461e13i | 0.0167361 | + | 0.00966257i | ||||
\(461\) | − | 1.36310e16i | − | 1.42011i | −0.704144 | − | 0.710057i | \(-0.748669\pi\) | ||
0.704144 | − | 0.710057i | \(-0.251331\pi\) | |||||||
\(462\) | −5.60387e14 | − | 4.33822e14i | −0.0576284 | − | 0.0446129i | ||||
\(463\) | 1.32894e16 | 1.34902 | 0.674511 | − | 0.738265i | \(-0.264354\pi\) | ||||
0.674511 | + | 0.738265i | \(0.264354\pi\) | |||||||
\(464\) | −9.56740e14 | + | 1.65712e15i | −0.0958708 | + | 0.166053i | ||||
\(465\) | −1.69688e14 | + | 9.79695e13i | −0.0167855 | + | 0.00969111i | ||||
\(466\) | −4.31983e15 | − | 7.48216e15i | −0.421843 | − | 0.730654i | ||||
\(467\) | −5.95361e15 | − | 3.43732e15i | −0.573957 | − | 0.331374i | 0.184771 | − | 0.982782i | \(-0.440846\pi\) |
−0.758728 | + | 0.651407i | \(0.774179\pi\) | |||||||
\(468\) | 7.57408e15i | 0.720867i | ||||||||
\(469\) | 5.46656e15 | − | 7.06139e15i | 0.513661 | − | 0.663518i | ||||
\(470\) | 5.55351e14 | 0.0515206 | ||||||||
\(471\) | 3.04801e14 | − | 5.27931e14i | 0.0279185 | − | 0.0483562i | ||||
\(472\) | 4.13905e14 | − | 2.38968e14i | 0.0374325 | − | 0.0216117i | ||||
\(473\) | 1.24071e16 | + | 2.14897e16i | 1.10791 | + | 1.91895i | ||||
\(474\) | −3.45583e14 | − | 1.99523e14i | −0.0304707 | − | 0.0175923i | ||||
\(475\) | 1.23991e16i | 1.07951i | ||||||||
\(476\) | 9.27302e14 | − | 6.81799e15i | 0.0797222 | − | 0.586158i | ||||
\(477\) | −3.83001e15 | −0.325155 | ||||||||
\(478\) | −4.05263e15 | + | 7.01935e15i | −0.339758 | + | 0.588477i | ||||
\(479\) | 2.96526e15 | − | 1.71199e15i | 0.245499 | − | 0.141739i | −0.372203 | − | 0.928151i | \(-0.621397\pi\) |
0.617701 | + | 0.786413i | \(0.288064\pi\) | |||||||
\(480\) | −1.06077e13 | − | 1.83731e13i | −0.000867312 | − | 0.00150223i | ||||
\(481\) | 1.09804e16 | + | 6.33953e15i | 0.886640 | + | 0.511902i | ||||
\(482\) | − | 8.97292e15i | − | 0.715569i | ||||||
\(483\) | −1.32476e14 | + | 5.42105e13i | −0.0104341 | + | 0.00426973i | ||||
\(484\) | 1.74272e16 | 1.35567 | ||||||||
\(485\) | −5.88867e14 | + | 1.01995e15i | −0.0452446 | + | 0.0783660i | ||||
\(486\) | 1.29017e15 | − | 7.44879e14i | 0.0979103 | − | 0.0565285i | ||||
\(487\) | −7.91361e15 | − | 1.37068e16i | −0.593200 | − | 1.02745i | −0.993798 | − | 0.111199i | \(-0.964531\pi\) |
0.400598 | − | 0.916254i | \(-0.368802\pi\) | |||||||
\(488\) | −4.10266e14 | − | 2.36867e14i | −0.0303772 | − | 0.0175383i | ||||
\(489\) | − | 9.48875e13i | − | 0.00693994i | ||||||
\(490\) | −4.79430e14 | + | 1.72990e15i | −0.0346377 | + | 0.124981i | ||||
\(491\) | −2.26555e16 | −1.61690 | −0.808452 | − | 0.588563i | \(-0.799694\pi\) | ||||
−0.808452 | + | 0.588563i | \(0.799694\pi\) | |||||||
\(492\) | 2.05330e14 | − | 3.55643e14i | 0.0144765 | − | 0.0250740i | ||||
\(493\) | −1.12827e16 | + | 6.51407e15i | −0.785836 | + | 0.453702i | ||||
\(494\) | −8.29919e15 | − | 1.43746e16i | −0.571050 | − | 0.989088i | ||||
\(495\) | 4.48861e15 | + | 2.59150e15i | 0.305127 | + | 0.176165i | ||||
\(496\) | 7.35281e15i | 0.493814i | ||||||||
\(497\) | 5.03901e15 | + | 1.23140e16i | 0.334354 | + | 0.817074i | ||||
\(498\) | 7.29347e14 | 0.0478144 | ||||||||
\(499\) | −4.53576e15 | + | 7.85617e15i | −0.293797 | + | 0.508871i | −0.974704 | − | 0.223498i | \(-0.928252\pi\) |
0.680907 | + | 0.732369i | \(0.261586\pi\) | |||||||
\(500\) | −2.44013e15 | + | 1.40881e15i | −0.156168 | + | 0.0901638i | ||||
\(501\) | 1.05182e14 | + | 1.82181e14i | 0.00665146 | + | 0.0115207i | ||||
\(502\) | −8.55462e15 | − | 4.93901e15i | −0.534538 | − | 0.308616i | ||||
\(503\) | 2.00202e16i | 1.23612i | 0.786131 | + | 0.618060i | \(0.212081\pi\) | ||||
−0.786131 | + | 0.618060i | \(0.787919\pi\) | |||||||
\(504\) | −5.72550e15 | − | 7.78714e14i | −0.349325 | − | 0.0475111i | ||||
\(505\) | 3.99509e15 | 0.240868 | ||||||||
\(506\) | 2.40906e15 | − | 4.17261e15i | 0.143531 | − | 0.248602i | ||||
\(507\) | 8.58170e14 | − | 4.95465e14i | 0.0505272 | − | 0.0291719i | ||||
\(508\) | −5.34395e15 | − | 9.25599e15i | −0.310942 | − | 0.538568i | ||||
\(509\) | −1.95778e16 | − | 1.13032e16i | −1.12579 | − | 0.649973i | −0.182915 | − | 0.983129i | \(-0.558553\pi\) |
−0.942872 | + | 0.333155i | \(0.891887\pi\) | |||||||
\(510\) | − | 1.44448e14i | − | 0.00820900i | ||||||
\(511\) | −1.62409e16 | − | 1.25729e16i | −0.912190 | − | 0.706170i | ||||
\(512\) | −7.96131e14 | −0.0441942 | ||||||||
\(513\) | −1.08773e15 | + | 1.88401e15i | −0.0596785 | + | 0.103366i | ||||
\(514\) | 1.62600e16 | − | 9.38773e15i | 0.881744 | − | 0.509075i | ||||
\(515\) | −2.07132e15 | − | 3.58763e15i | −0.111021 | − | 0.192293i | ||||
\(516\) | −5.02941e14 | − | 2.90373e14i | −0.0266452 | − | 0.0153836i | ||||
\(517\) | − | 1.46142e16i | − | 0.765301i | ||||||
\(518\) | −5.92118e15 | + | 7.64865e15i | −0.306500 | + | 0.395919i | ||||
\(519\) | 9.94272e14 | 0.0508746 | ||||||||
\(520\) | 9.26839e14 | − | 1.60533e15i | 0.0468796 | − | 0.0811979i | ||||
\(521\) | 4.18618e15 | − | 2.41689e15i | 0.209311 | − | 0.120846i | −0.391680 | − | 0.920101i | \(-0.628106\pi\) |
0.600991 | + | 0.799256i | \(0.294773\pi\) | |||||||
\(522\) | 5.47028e15 | + | 9.47480e15i | 0.270387 | + | 0.468325i | ||||
\(523\) | −1.78991e16 | − | 1.03340e16i | −0.874623 | − | 0.504964i | −0.00574101 | − | 0.999984i | \(-0.501827\pi\) |
−0.868882 | + | 0.495020i | \(0.835161\pi\) | |||||||
\(524\) | 9.36653e15i | 0.452471i | ||||||||
\(525\) | 1.45892e14 | − | 1.07267e15i | 0.00696746 | − | 0.0512283i | ||||
\(526\) | −5.32627e15 | −0.251483 | ||||||||
\(527\) | −2.50312e16 | + | 4.33553e16i | −1.16847 | + | 2.02385i | ||||
\(528\) | −4.83494e14 | + | 2.79145e14i | −0.0223145 | + | 0.0128833i | ||||
\(529\) | 1.04707e16 | + | 1.81358e16i | 0.477797 | + | 0.827568i | ||||
\(530\) | 8.11774e14 | + | 4.68678e14i | 0.0366252 | + | 0.0211456i | ||||
\(531\) | − | 2.73266e15i | − | 0.121904i | ||||||
\(532\) | 1.17195e16 | − | 4.79573e15i | 0.516939 | − | 0.211536i | ||||
\(533\) | 3.58810e16 | 1.56495 | ||||||||
\(534\) | 2.29710e14 | − | 3.97869e14i | 0.00990677 | − | 0.0171590i | ||||
\(535\) | −1.41608e15 | + | 8.17572e14i | −0.0603899 | + | 0.0348661i | ||||
\(536\) | −3.51749e15 | − | 6.09246e15i | −0.148335 | − | 0.256924i | ||||
\(537\) | 1.21554e15 | + | 7.01795e14i | 0.0506903 | + | 0.0292661i | ||||
\(538\) | − | 1.79519e16i | − | 0.740317i | ||||||
\(539\) | 4.55228e16 | + | 1.26163e16i | 1.85651 | + | 0.514518i | ||||
\(540\) | −2.42952e14 | −0.00979847 | ||||||||
\(541\) | 2.06290e16 | − | 3.57305e16i | 0.822801 | − | 1.42513i | −0.0807865 | − | 0.996731i | \(-0.525743\pi\) |
0.903588 | − | 0.428403i | \(-0.140923\pi\) | |||||||
\(542\) | −8.13805e15 | + | 4.69851e15i | −0.321015 | + | 0.185338i | ||||
\(543\) | −2.19789e14 | − | 3.80685e14i | −0.00857445 | − | 0.0148514i | ||||
\(544\) | −4.69433e15 | − | 2.71028e15i | −0.181126 | − | 0.104573i | ||||
\(545\) | − | 8.10507e14i | − | 0.0309298i | ||||||
\(546\) | 5.48842e14 | + | 1.34123e15i | 0.0207153 | + | 0.0506228i | ||||
\(547\) | 1.32093e16 | 0.493124 | 0.246562 | − | 0.969127i | \(-0.420699\pi\) | ||||
0.246562 | + | 0.969127i | \(0.420699\pi\) | |||||||
\(548\) | −5.82793e15 | + | 1.00943e16i | −0.215194 | + | 0.372728i | ||||
\(549\) | −2.34575e15 | + | 1.35432e15i | −0.0856737 | + | 0.0494637i | ||||
\(550\) | 1.82195e16 | + | 3.15571e16i | 0.658203 | + | 1.14004i | ||||
\(551\) | −2.07637e16 | − | 1.19880e16i | −0.741987 | − | 0.428386i | ||||
\(552\) | 1.12762e14i | 0.00398593i | ||||||||
\(553\) | 2.63564e16 | + | 3.58469e15i | 0.921586 | + | 0.125343i | ||||
\(554\) | −1.43002e16 | −0.494634 | ||||||||
\(555\) | −1.01530e14 | + | 1.75855e14i | −0.00347406 | + | 0.00601724i | ||||
\(556\) | 6.69427e15 | − | 3.86494e15i | 0.226597 | − | 0.130826i | ||||
\(557\) | −1.83976e16 | − | 3.18655e16i | −0.616069 | − | 1.06706i | −0.990196 | − | 0.139685i | \(-0.955391\pi\) |
0.374127 | − | 0.927378i | \(-0.377942\pi\) | |||||||
\(558\) | 3.64082e16 | + | 2.10203e16i | 1.20613 | + | 0.696359i | ||||
\(559\) | − | 5.07421e16i | − | 1.66302i | ||||||
\(560\) | 1.11823e15 | + | 8.65676e14i | 0.0362580 | + | 0.0280690i | ||||
\(561\) | −3.80118e15 | −0.121939 | ||||||||
\(562\) | −7.39994e15 | + | 1.28171e16i | −0.234861 | + | 0.406790i | ||||
\(563\) | 4.52579e16 | − | 2.61296e16i | 1.42116 | − | 0.820508i | 0.424764 | − | 0.905304i | \(-0.360357\pi\) |
0.996398 | + | 0.0847958i | \(0.0270238\pi\) | |||||||
\(564\) | 1.71014e14 | + | 2.96205e14i | 0.00531321 | + | 0.00920276i | ||||
\(565\) | −3.92195e15 | − | 2.26434e15i | −0.120562 | − | 0.0696067i | ||||
\(566\) | − | 3.63244e15i | − | 0.110484i | ||||||
\(567\) | −2.01658e16 | + | 2.60490e16i | −0.606899 | + | 0.783958i | ||||
\(568\) | 1.04816e16 | 0.312130 | ||||||||
\(569\) | −3.10411e16 | + | 5.37648e16i | −0.914669 | + | 1.58425i | −0.107284 | + | 0.994228i | \(0.534215\pi\) |
−0.807385 | + | 0.590024i | \(0.799118\pi\) | |||||||
\(570\) | 2.30215e14 | − | 1.32915e14i | 0.00671251 | − | 0.00387547i | ||||
\(571\) | −4.60260e15 | − | 7.97194e15i | −0.132796 | − | 0.230010i | 0.791957 | − | 0.610577i | \(-0.209062\pi\) |
−0.924754 | + | 0.380567i | \(0.875729\pi\) | |||||||
\(572\) | −4.22447e16 | − | 2.43900e16i | −1.20614 | − | 0.696363i | ||||
\(573\) | 3.85851e14i | 0.0109016i | ||||||||
\(574\) | −3.68903e15 | + | 2.71236e16i | −0.103143 | + | 0.758362i | ||||
\(575\) | 7.35986e15 | 0.203640 | ||||||||
\(576\) | −2.27599e15 | + | 3.94213e15i | −0.0623211 | + | 0.107943i | ||||
\(577\) | 5.12969e16 | − | 2.96163e16i | 1.39007 | − | 0.802556i | 0.396746 | − | 0.917929i | \(-0.370140\pi\) |
0.993322 | + | 0.115373i | \(0.0368062\pi\) | |||||||
\(578\) | −5.26998e15 | − | 9.12787e15i | −0.141332 | − | 0.244795i | ||||
\(579\) | −1.48301e15 | − | 8.56217e14i | −0.0393616 | − | 0.0227254i | ||||
\(580\) | − | 2.67759e15i | − | 0.0703356i | ||||||
\(581\) | −4.49945e16 | + | 1.84122e16i | −1.16978 | + | 0.478683i | ||||
\(582\) | −7.25340e14 | −0.0186640 | ||||||||
\(583\) | 1.23334e16 | − | 2.13620e16i | 0.314102 | − | 0.544041i | ||||
\(584\) | −1.40124e16 | + | 8.09008e15i | −0.353213 | + | 0.203927i | ||||
\(585\) | −5.29931e15 | − | 9.17868e15i | −0.132216 | − | 0.229005i | ||||
\(586\) | −1.44463e16 | − | 8.34059e15i | −0.356756 | − | 0.205973i | ||||
\(587\) | − | 1.82380e16i | − | 0.445808i | −0.974840 | − | 0.222904i | \(-0.928446\pi\) | ||
0.974840 | − | 0.222904i | \(-0.0715536\pi\) | |||||||
\(588\) | −1.07030e15 | + | 2.76992e14i | −0.0258966 | + | 0.00670199i | ||||
\(589\) | −9.21307e16 | −2.20654 | ||||||||
\(590\) | −3.34395e14 | + | 5.79189e14i | −0.00792770 | + | 0.0137312i | ||||
\(591\) | −1.31143e15 | + | 7.57152e14i | −0.0307765 | + | 0.0177688i | ||||
\(592\) | 3.81002e15 | + | 6.59914e15i | 0.0885109 | + | 0.153305i | ||||
\(593\) | 2.24308e16 | + | 1.29504e16i | 0.515842 | + | 0.297822i | 0.735232 | − | 0.677816i | \(-0.237073\pi\) |
−0.219390 | + | 0.975637i | \(0.570407\pi\) | |||||||
\(594\) | 6.39335e15i | 0.145549i | ||||||||
\(595\) | 3.64655e15 | + | 8.91120e15i | 0.0821826 | + | 0.200833i | ||||
\(596\) | 1.36999e16 | 0.305661 | ||||||||
\(597\) | 3.69197e14 | − | 6.39468e14i | 0.00815478 | − | 0.0141245i | ||||
\(598\) | −8.53250e15 | + | 4.92624e15i | −0.186582 | + | 0.107723i | ||||
\(599\) | 2.44690e16 | + | 4.23816e16i | 0.529732 | + | 0.917523i | 0.999399 | + | 0.0346788i | \(0.0110408\pi\) |
−0.469667 | + | 0.882844i | \(0.655626\pi\) | |||||||
\(600\) | −7.38555e14 | − | 4.26405e14i | −0.0158298 | − | 0.00913934i | ||||
\(601\) | 2.83221e16i | 0.601005i | 0.953781 | + | 0.300503i | \(0.0971544\pi\) | ||||
−0.953781 | + | 0.300503i | \(0.902846\pi\) | |||||||
\(602\) | 3.83576e16 | + | 5.21694e15i | 0.805884 | + | 0.109607i | ||||
\(603\) | −4.02233e16 | −0.836708 | ||||||||
\(604\) | −5.36248e14 | + | 9.28809e14i | −0.0110444 | + | 0.0191295i | ||||
\(605\) | −2.11192e16 | + | 1.21932e16i | −0.430671 | + | 0.248648i | ||||
\(606\) | 1.23024e15 | + | 2.13085e15i | 0.0248402 | + | 0.0430245i | ||||
\(607\) | 5.41690e15 | + | 3.12745e15i | 0.108298 | + | 0.0625256i | 0.553170 | − | 0.833068i | \(-0.313418\pi\) |
−0.444873 | + | 0.895594i | \(0.646751\pi\) | |||||||
\(608\) | − | 9.97552e15i | − | 0.197476i | ||||||
\(609\) | 1.65526e15 | + | 1.28141e15i | 0.0324460 | + | 0.0251180i | ||||
\(610\) | 6.62910e14 | 0.0128670 | ||||||||
\(611\) | −1.49422e16 | + | 2.58806e16i | −0.287188 | + | 0.497424i | ||||
\(612\) | −2.68404e16 | + | 1.54963e16i | −0.510835 | + | 0.294931i | ||||
\(613\) | −2.77793e16 | − | 4.81152e16i | −0.523551 | − | 0.906816i | −0.999624 | − | 0.0274109i | \(-0.991274\pi\) |
0.476074 | − | 0.879405i | \(-0.342060\pi\) | |||||||
\(614\) | −2.49507e16 | − | 1.44053e16i | −0.465663 | − | 0.268851i | ||||
\(615\) | 5.74649e14i | 0.0106207i | ||||||||
\(616\) | 2.27805e16 | − | 2.94266e16i | 0.416945 | − | 0.538586i | ||||
\(617\) | 8.06869e16 | 1.46249 | 0.731243 | − | 0.682117i | \(-0.238940\pi\) | ||||
0.731243 | + | 0.682117i | \(0.238940\pi\) | |||||||
\(618\) | 1.27568e15 | − | 2.20954e15i | 0.0228987 | − | 0.0396617i | ||||
\(619\) | −3.40981e15 | + | 1.96865e15i | −0.0606158 | + | 0.0349966i | −0.530002 | − | 0.847997i | \(-0.677809\pi\) |
0.469386 | + | 0.882993i | \(0.344475\pi\) | |||||||
\(620\) | −5.14449e15 | − | 8.91052e15i | −0.0905717 | − | 0.156875i | ||||
\(621\) | 1.11831e15 | + | 6.45657e14i | 0.0194990 | + | 0.0112578i | ||||
\(622\) | − | 5.96244e16i | − | 1.02963i | ||||||
\(623\) | −4.12704e15 | + | 3.03441e16i | −0.0705847 | + | 0.518975i | ||||
\(624\) | 1.14164e15 | 0.0193384 | ||||||||
\(625\) | −2.68284e16 | + | 4.64681e16i | −0.450106 | + | 0.779606i | ||||
\(626\) | 2.76833e16 | − | 1.59829e16i | 0.460014 | − | 0.265589i | ||||
\(627\) | −3.49769e15 | − | 6.05818e15i | −0.0575673 | − | 0.0997095i | ||||
\(628\) | 2.77223e16 | + | 1.60055e16i | 0.451930 | + | 0.260922i | ||||
\(629\) | 5.18818e16i | 0.837744i | ||||||||
\(630\) | 7.48330e15 | − | 3.06224e15i | 0.119688 | − | 0.0489774i | ||||
\(631\) | 6.92232e16 | 1.09667 | 0.548334 | − | 0.836259i | \(-0.315262\pi\) | ||||
0.548334 | + | 0.836259i | \(0.315262\pi\) | |||||||
\(632\) | 1.04772e16 | − | 1.81470e16i | 0.164415 | − | 0.284775i | ||||
\(633\) | 1.07993e15 | − | 6.23499e14i | 0.0167870 | − | 0.00969200i | ||||
\(634\) | 1.68898e16 | + | 2.92540e16i | 0.260070 | + | 0.450454i | ||||
\(635\) | 1.29522e16 | + | 7.47793e15i | 0.197560 | + | 0.114062i | ||||
\(636\) | 5.77296e14i | 0.00872280i | ||||||||
\(637\) | −6.77178e16 | − | 6.88869e16i | −1.01360 | − | 1.03110i | ||||
\(638\) | −7.04614e16 | −1.04479 | ||||||||
\(639\) | 2.99648e16 | − | 5.19005e16i | 0.440155 | − | 0.762372i | ||||
\(640\) | 9.64794e14 | − | 5.57024e14i | 0.0140396 | − | 0.00810577i | ||||
\(641\) | −1.58433e16 | − | 2.74413e16i | −0.228400 | − | 0.395600i | 0.728934 | − | 0.684584i | \(-0.240016\pi\) |
−0.957334 | + | 0.288983i | \(0.906683\pi\) | |||||||
\(642\) | −8.72129e14 | − | 5.03524e14i | −0.0124558 | − | 0.00719135i | ||||
\(643\) | 5.19233e16i | 0.734678i | 0.930087 | + | 0.367339i | \(0.119731\pi\) | ||||
−0.930087 | + | 0.367339i | \(0.880269\pi\) | |||||||
\(644\) | −2.84665e15 | − | 6.95647e15i | −0.0399043 | − | 0.0975156i | ||||
\(645\) | 8.12655e14 | 0.0112862 | ||||||||
\(646\) | 3.39597e16 | − | 5.88200e16i | 0.467271 | − | 0.809338i | ||||
\(647\) | 1.04748e17 | − | 6.04762e16i | 1.42797 | − | 0.824439i | 0.431010 | − | 0.902347i | \(-0.358158\pi\) |
0.996961 | + | 0.0779084i | \(0.0248242\pi\) | |||||||
\(648\) | 1.29758e16 | + | 2.24747e16i | 0.175260 | + | 0.303560i | ||||
\(649\) | 1.52415e16 | + | 8.79969e15i | 0.203967 | + | 0.117760i | ||||
\(650\) | − | 7.45133e16i | − | 0.987993i | ||||||
\(651\) | 7.97040e15 | + | 1.08404e15i | 0.104711 | + | 0.0142416i | ||||
\(652\) | 4.98265e15 | 0.0648597 | ||||||||
\(653\) | 2.32580e16 | − | 4.02840e16i | 0.299980 | − | 0.519581i | −0.676151 | − | 0.736763i | \(-0.736353\pi\) |
0.976131 | + | 0.217182i | \(0.0696866\pi\) | |||||||
\(654\) | 4.32296e14 | − | 2.49586e14i | 0.00552478 | − | 0.00318973i | ||||
\(655\) | −6.55342e15 | − | 1.13509e16i | −0.0829889 | − | 0.143741i | ||||
\(656\) | 1.86752e16 | + | 1.07821e16i | 0.234338 | + | 0.135295i | ||||
\(657\) | 9.25120e16i | 1.15029i | ||||||||
\(658\) | −1.80277e16 | − | 1.39561e16i | −0.222119 | − | 0.171953i | ||||
\(659\) | 3.88240e16 | 0.474011 | 0.237005 | − | 0.971508i | \(-0.423834\pi\) | ||||
0.237005 | + | 0.971508i | \(0.423834\pi\) | |||||||
\(660\) | 3.90616e14 | − | 6.76566e14i | 0.00472592 | − | 0.00818553i | ||||
\(661\) | −9.43195e16 | + | 5.44554e16i | −1.13082 | + | 0.652878i | −0.944140 | − | 0.329543i | \(-0.893105\pi\) |
−0.186677 | + | 0.982421i | \(0.559772\pi\) | |||||||
\(662\) | 2.56424e16 | + | 4.44140e16i | 0.304657 | + | 0.527682i | ||||
\(663\) | 6.73159e15 | + | 3.88648e15i | 0.0792568 | + | 0.0457589i | ||||
\(664\) | 3.82989e16i | 0.446866i | ||||||||
\(665\) | −1.08469e16 | + | 1.40114e16i | −0.125423 | + | 0.162014i | ||||
\(666\) | 4.35685e16 | 0.499260 | ||||||||
\(667\) | −7.11582e15 | + | 1.23250e16i | −0.0808109 | + | 0.139969i | ||||
\(668\) | −9.56655e15 | + | 5.52325e15i | −0.107670 | + | 0.0621636i | ||||
\(669\) | −3.48401e15 | − | 6.03449e15i | −0.0388618 | − | 0.0673106i | ||||
\(670\) | 8.52535e15 | + | 4.92211e15i | 0.0942461 | + | 0.0544130i | ||||
\(671\) | − | 1.74447e16i | − | 0.191129i | ||||||
\(672\) | −1.17375e14 | + | 8.63001e14i | −0.00127456 | + | 0.00937121i | ||||
\(673\) | −4.67477e16 | −0.503118 | −0.251559 | − | 0.967842i | \(-0.580943\pi\) | ||||
−0.251559 | + | 0.967842i | \(0.580943\pi\) | |||||||
\(674\) | −1.13767e15 | + | 1.97050e15i | −0.0121355 | + | 0.0210192i | ||||
\(675\) | −8.45768e15 | + | 4.88304e15i | −0.0894187 | + | 0.0516259i | ||||
\(676\) | 2.60174e16 | + | 4.50635e16i | 0.272636 | + | 0.472220i | ||||
\(677\) | 5.40258e16 | + | 3.11918e16i | 0.561137 | + | 0.323973i | 0.753602 | − | 0.657331i | \(-0.228315\pi\) |
−0.192465 | + | 0.981304i | \(0.561648\pi\) | |||||||
\(678\) | − | 2.78911e15i | − | 0.0287136i | ||||||
\(679\) | 4.47473e16 | − | 1.83110e16i | 0.456613 | − | 0.186850i | ||||
\(680\) | 7.58512e15 | 0.0767201 | ||||||||
\(681\) | 3.18287e15 | − | 5.51289e15i | 0.0319107 | − | 0.0552709i | ||||
\(682\) | −2.34483e17 | + | 1.35379e17i | −2.33026 | + | 1.34538i | ||||
\(683\) | −3.36676e16 | − | 5.83140e16i | −0.331656 | − | 0.574445i | 0.651181 | − | 0.758923i | \(-0.274274\pi\) |
−0.982837 | + | 0.184478i | \(0.940941\pi\) | |||||||
\(684\) | −4.93948e16 | − | 2.85181e16i | −0.482331 | − | 0.278474i | ||||
\(685\) | − | 1.63104e16i | − | 0.157877i | ||||||
\(686\) | 5.90361e16 | − | 4.41076e16i | 0.566465 | − | 0.423223i | ||||
\(687\) | −7.71758e15 | −0.0734075 | ||||||||
\(688\) | 1.52478e16 | − | 2.64100e16i | 0.143773 | − | 0.249022i | ||||
\(689\) | −4.36828e16 | + | 2.52203e16i | −0.408315 | + | 0.235741i | ||||
\(690\) | −7.88957e13 | − | 1.36651e14i | −0.000731070 | − | 0.00126625i | ||||
\(691\) | 2.07049e16 | + | 1.19540e16i | 0.190197 | + | 0.109810i | 0.592075 | − | 0.805883i | \(-0.298309\pi\) |
−0.401878 | + | 0.915693i | \(0.631642\pi\) | |||||||
\(692\) | 5.22104e16i | 0.475467i | ||||||||
\(693\) | −8.05836e16 | − | 1.96925e17i | −0.727524 | − | 1.77788i | ||||
\(694\) | −3.80170e16 | −0.340268 | ||||||||
\(695\) | −5.40831e15 | + | 9.36747e15i | −0.0479903 | + | 0.0831216i | ||||
\(696\) | 1.42813e15 | − | 8.24532e14i | 0.0125636 | − | 0.00725358i | ||||
\(697\) | 7.34113e16 | + | 1.27152e17i | 0.640275 | + | 1.10899i | ||||
\(698\) | −1.69431e16 | − | 9.78210e15i | −0.146508 | − | 0.0845862i | ||||
\(699\) | 7.44577e15i | 0.0638332i | ||||||||
\(700\) | 5.63270e16 | + | 7.66093e15i | 0.478772 | + | 0.0651169i | ||||
\(701\) | −1.42561e17 | −1.20141 | −0.600707 | − | 0.799469i | \(-0.705114\pi\) | ||||
−0.600707 | + | 0.799469i | \(0.705114\pi\) | |||||||
\(702\) | 6.53682e15 | − | 1.13221e16i | 0.0546190 | − | 0.0946029i | ||||
\(703\) | −8.26872e16 | + | 4.77395e16i | −0.685025 | + | 0.395499i | ||||
\(704\) | −1.46582e16 | − | 2.53888e16i | −0.120405 | − | 0.208548i | ||||
\(705\) | −4.14488e14 | − | 2.39305e14i | −0.00337580 | − | 0.00194902i | ||||
\(706\) | 1.09120e17i | 0.881201i | ||||||||
\(707\) | −1.29688e17 | − | 1.00398e17i | −1.03845 | − | 0.803911i | ||||
\(708\) | −4.11892e14 | −0.00327027 | ||||||||
\(709\) | 1.08427e17 | − | 1.87800e17i | 0.853607 | − | 1.47849i | −0.0243234 | − | 0.999704i | \(-0.507743\pi\) |
0.877931 | − | 0.478787i | \(-0.158924\pi\) | |||||||
\(710\) | −1.27021e16 | + | 7.33357e15i | −0.0991575 | + | 0.0572486i | ||||
\(711\) | −5.99044e16 | − | 1.03758e17i | −0.463705 | − | 0.803160i | ||||
\(712\) | 2.08926e16 | + | 1.20623e16i | 0.160366 | + | 0.0925873i | ||||
\(713\) | 5.46870e16i | 0.416243i | ||||||||
\(714\) | −3.63002e15 | + | 4.68905e15i | −0.0273980 | + | 0.0353912i | ||||
\(715\) | 6.82592e16 | 0.510887 | ||||||||
\(716\) | −3.68521e16 | + | 6.38296e16i | −0.273517 | + | 0.473745i | ||||
\(717\) | 6.04938e15 | − | 3.49261e15i | 0.0445241 | − | 0.0257060i | ||||
\(718\) | 1.45893e16 | + | 2.52694e16i | 0.106485 | + | 0.184437i | ||||
\(719\) | 1.49791e16 | + | 8.64816e15i | 0.108420 | + | 0.0625966i | 0.553230 | − | 0.833029i | \(-0.313395\pi\) |
−0.444809 | + | 0.895625i | \(0.646729\pi\) | |||||||
\(720\) | − | 6.36971e15i | − | 0.0457219i | ||||||
\(721\) | −2.29193e16 | + | 1.68514e17i | −0.163151 | + | 1.19957i | ||||
\(722\) | 2.48301e16 | 0.175289 | ||||||||
\(723\) | −3.86649e15 | + | 6.69697e15i | −0.0270700 | + | 0.0468865i | ||||
\(724\) | 1.99902e16 | − | 1.15413e16i | 0.138799 | − | 0.0801355i | ||||
\(725\) | −5.38162e16 | − | 9.32124e16i | −0.370583 | − | 0.641868i | ||||
\(726\) | −1.30068e16 | − | 7.50950e15i | −0.0888284 | − | 0.0512851i | ||||
\(727\) | 1.17362e17i | 0.794915i | 0.917621 | + | 0.397458i | \(0.130107\pi\) | ||||
−0.917621 | + | 0.397458i | \(0.869893\pi\) | |||||||
\(728\) | −7.04293e16 | + | 2.88203e16i | −0.473113 | + | 0.193602i | ||||
\(729\) | 1.47523e17 | 0.982868 | ||||||||
\(730\) | 1.13207e16 | − | 1.96080e16i | 0.0748057 | − | 0.129567i | ||||
\(731\) | 1.79816e17 | − | 1.03817e17i | 1.17848 | − | 0.680397i | ||||
\(732\) | 2.04136e14 | + | 3.53573e14i | 0.00132694 | + | 0.00229833i | ||||
\(733\) | 1.49527e17 | + | 8.63296e16i | 0.964044 | + | 0.556591i | 0.897415 | − | 0.441187i | \(-0.145442\pi\) |
0.0666284 | + | 0.997778i | \(0.478776\pi\) | |||||||
\(734\) | − | 6.42591e16i | − | 0.410921i | ||||||
\(735\) | 1.10325e15 | − | 1.08453e15i | 0.00699762 | − | 0.00687886i | ||||
\(736\) | −5.92128e15 | −0.0372519 | ||||||||
\(737\) | 1.29527e17 | − | 2.24347e17i | 0.808266 | − | 1.39996i | ||||
\(738\) | 1.06778e17 | − | 6.16481e16i | 0.660910 | − | 0.381577i | ||||
\(739\) | 9.54432e15 | + | 1.65313e16i | 0.0585974 | + | 0.101494i | 0.893836 | − | 0.448394i | \(-0.148004\pi\) |
−0.835239 | + | 0.549888i | \(0.814671\pi\) | |||||||
\(740\) | −9.23436e15 | − | 5.33146e15i | −0.0562363 | − | 0.0324680i | ||||
\(741\) | 1.43047e16i | 0.0864112i | ||||||||
\(742\) | −1.45737e16 | − | 3.56142e16i | −0.0873265 | − | 0.213403i | ||||
\(743\) | −5.56299e16 | −0.330655 | −0.165328 | − | 0.986239i | \(-0.552868\pi\) | ||||
−0.165328 | + | 0.986239i | \(0.552868\pi\) | |||||||
\(744\) | 3.16838e15 | − | 5.48779e15i | 0.0186810 | − | 0.0323564i | ||||
\(745\) | −1.66023e16 | + | 9.58534e15i | −0.0971025 | + | 0.0560621i | ||||
\(746\) | 6.59386e16 | + | 1.14209e17i | 0.382566 | + | 0.662624i | ||||
\(747\) | 1.89641e17 | + | 1.09489e17i | 1.09146 | + | 0.630155i | ||||
\(748\) | − | 1.99605e17i | − | 1.13962i | ||||||
\(749\) | 6.65143e16 | + | 9.04648e15i | 0.376725 | + | 0.0512376i | ||||
\(750\) | 2.42826e15 | 0.0136436 | ||||||||
\(751\) | −1.36551e17 | + | 2.36514e17i | −0.761125 | + | 1.31831i | 0.181146 | + | 0.983456i | \(0.442019\pi\) |
−0.942271 | + | 0.334851i | \(0.891314\pi\) | |||||||
\(752\) | −1.55541e16 | + | 8.98015e15i | −0.0860076 | + | 0.0496565i | ||||
\(753\) | 4.25651e15 | + | 7.37249e15i | 0.0233498 | + | 0.0404431i | ||||
\(754\) | 1.24781e17 | + | 7.20426e16i | 0.679081 | + | 0.392068i | ||||
\(755\) | − | 1.50077e15i | − | 0.00810276i | ||||||
\(756\) | 7.88668e15 | + | 6.10545e15i | 0.0422438 | + | 0.0327030i | ||||
\(757\) | −9.53508e16 | −0.506698 | −0.253349 | − | 0.967375i | \(-0.581532\pi\) | ||||
−0.253349 | + | 0.967375i | \(0.581532\pi\) | |||||||
\(758\) | 2.88662e16 | − | 4.99977e16i | 0.152186 | − | 0.263593i | ||||
\(759\) | −3.59602e15 | + | 2.07616e15i | −0.0188092 | + | 0.0108595i | ||||
\(760\) | 6.97951e15 | + | 1.20889e16i | 0.0362196 | + | 0.0627342i | ||||
\(761\) | 7.55592e16 | + | 4.36241e16i | 0.389026 | + | 0.224605i | 0.681738 | − | 0.731596i | \(-0.261224\pi\) |
−0.292712 | + | 0.956201i | \(0.594558\pi\) | |||||||
\(762\) | 9.21098e15i | 0.0470518i | ||||||||
\(763\) | −2.03683e16 | + | 2.63106e16i | −0.103230 | + | 0.133347i | ||||
\(764\) | −2.02615e16 | −0.101885 | ||||||||
\(765\) | 2.16844e16 | − | 3.75585e16i | 0.108188 | − | 0.187387i | ||||
\(766\) | 1.01232e17 | − | 5.84463e16i | 0.501124 | − | 0.289324i | ||||
\(767\) | −1.79943e16 | − | 3.11671e16i | −0.0883818 | − | 0.153082i | ||||
\(768\) | 5.94195e14 | + | 3.43059e14i | 0.00289575 | + | 0.00167186i | ||||
\(769\) | − | 2.35317e17i | − | 1.13787i | −0.822381 | − | 0.568937i | \(-0.807355\pi\) | ||
0.822381 | − | 0.568937i | \(-0.192645\pi\) | |||||||
\(770\) | −7.01793e15 | + | 5.15994e16i | −0.0336717 | + | 0.247571i | ||||
\(771\) | −1.61809e16 | −0.0770331 | ||||||||
\(772\) | 4.49609e16 | − | 7.78746e16i | 0.212389 | − | 0.367868i | ||||
\(773\) | −1.91385e17 | + | 1.10496e17i | −0.897080 | + | 0.517929i | −0.876252 | − | 0.481854i | \(-0.839964\pi\) |
−0.0208283 | + | 0.999783i | \(0.506630\pi\) | |||||||
\(774\) | −8.71813e16 | − | 1.51002e17i | −0.405488 | − | 0.702325i | ||||
\(775\) | −3.58181e17 | − | 2.06796e17i | −1.65308 | − | 0.954404i | ||||
\(776\) | − | 3.80884e16i | − | 0.174431i | ||||||
\(777\) | 7.71514e15 | − | 3.15711e15i | 0.0350605 | − | 0.0143471i | ||||
\(778\) | −1.75426e17 | −0.791072 | ||||||||
\(779\) | −1.35100e17 | + | 2.34000e17i | −0.604548 | + | 1.04711i | ||||
\(780\) | −1.38350e15 | + | 7.98762e14i | −0.00614343 | + | 0.00354691i | ||||
\(781\) | 1.92985e17 | + | 3.34259e17i | 0.850387 | + | 1.47291i | ||||
\(782\) | −3.49144e16 | − | 2.01578e16i | −0.152674 | − | 0.0881462i | ||||
\(783\) | − | 1.88845e16i | − | 0.0819474i | ||||||
\(784\) | −1.45452e16 | − | 5.62029e16i | −0.0626359 | − | 0.242026i | ||||
\(785\) | −4.47938e16 | −0.191425 | ||||||||
\(786\) | 4.03610e15 | − | 6.99073e15i | 0.0171170 | − | 0.0296475i | ||||
\(787\) | −1.58831e16 | + | 9.17012e15i | −0.0668478 | + | 0.0385946i | −0.533051 | − | 0.846083i | \(-0.678955\pi\) |
0.466204 | + | 0.884677i | \(0.345621\pi\) | |||||||
\(788\) | −3.97589e16 | − | 6.88645e16i | −0.166065 | − | 0.287633i | ||||
\(789\) | 3.97528e15 | + | 2.29513e15i | 0.0164780 | + | 0.00951360i | ||||
\(790\) | 2.93220e16i | 0.120623i | ||||||||
\(791\) | 7.04103e16 | + | 1.72064e17i | 0.287460 | + | 0.702477i | ||||
\(792\) | −1.67621e17 | −0.679166 | ||||||||
\(793\) | −1.78361e16 | + | 3.08931e16i | −0.0717235 | + | 0.124229i | ||||
\(794\) | 2.89345e15 | − | 1.67054e15i | 0.0115476 | − | 0.00666704i | ||||
\(795\) | −4.03913e14 | − | 6.99598e14i | −0.00159987 | − | 0.00277106i | ||||
\(796\) | 3.35792e16 | + | 1.93870e16i | 0.132006 | + | 0.0762134i | ||||
\(797\) | 9.39084e16i | 0.366399i | 0.983076 | + | 0.183200i | \(0.0586454\pi\) | ||||
−0.983076 | + | 0.183200i | \(0.941355\pi\) | |||||||
\(798\) | −1.08134e16 | − | 1.47071e15i | −0.0418741 | − | 0.00569521i | ||||
\(799\) | −1.22285e17 | −0.469993 | ||||||||
\(800\) | 2.23910e16 | − | 3.87824e16i | 0.0854149 | − | 0.147943i | ||||
\(801\) | 1.19456e17 | − | 6.89678e16i | 0.452285 | − | 0.261127i | ||||
\(802\) | −9.10807e16 | − | 1.57756e17i | −0.342279 | − | 0.592844i | ||||
\(803\) | −5.15989e17 | − | 2.97906e17i | −1.92463 | − | 1.11119i | ||||
\(804\) | 6.06284e15i | 0.0224460i | ||||||||
\(805\) | 8.31692e15 | + | 6.43852e15i | 0.0305624 | + | 0.0236598i | ||||
\(806\) | 5.53667e17 | 2.01947 | ||||||||
\(807\) | −7.73562e15 | + | 1.33985e16i | −0.0280062 | + | 0.0485081i | ||||
\(808\) | −1.11893e17 | + | 6.46015e16i | −0.402101 | + | 0.232153i | ||||
\(809\) | −5.04324e16 | − | 8.73514e16i | −0.179895 | − | 0.311587i | 0.761950 | − | 0.647636i | \(-0.224242\pi\) |
−0.941844 | + | 0.336050i | \(0.890909\pi\) | |||||||
\(810\) | −3.14495e16 | − | 1.81574e16i | −0.111353 | − | 0.0642899i | ||||
\(811\) | − | 2.30062e17i | − | 0.808572i | −0.914633 | − | 0.404286i | \(-0.867520\pi\) | ||
0.914633 | − | 0.404286i | \(-0.132480\pi\) | |||||||
\(812\) | −6.72885e16 | + | 8.69194e16i | −0.234749 | + | 0.303236i | ||||
\(813\) | 8.09848e15 | 0.0280453 | ||||||||
\(814\) | −1.40299e17 | + | 2.43005e17i | −0.482289 | + | 0.835349i | ||||
\(815\) | −6.03824e15 | + | 3.48618e15i | −0.0206046 | + | 0.0118961i | ||||
\(816\) | 2.33575e15 | + | 4.04564e15i | 0.00791199 | + | 0.0137040i | ||||
\(817\) | 3.30918e17 | + | 1.91055e17i | 1.11272 | + | 0.642431i | ||||
\(818\) | 2.60663e17i | 0.870081i | ||||||||
\(819\) | −5.86372e16 | + | 4.31130e17i | −0.194299 | + | 1.42858i | ||||
\(820\) | −3.01755e16 | −0.0992592 | ||||||||
\(821\) | −7.59952e16 | + | 1.31628e17i | −0.248157 | + | 0.429821i | −0.963015 | − | 0.269449i | \(-0.913158\pi\) |
0.714857 | + | 0.699270i | \(0.246492\pi\) | |||||||
\(822\) | 8.69938e15 | − | 5.02259e15i | 0.0282005 | − | 0.0162816i | ||||
\(823\) | 8.24296e16 | + | 1.42772e17i | 0.265268 | + | 0.459457i | 0.967634 | − | 0.252359i | \(-0.0812064\pi\) |
−0.702366 | + | 0.711816i | \(0.747873\pi\) | |||||||
\(824\) | 1.16026e17 | + | 6.69874e16i | 0.370672 | + | 0.214008i | ||||
\(825\) | − | 3.14036e16i | − | 0.0995992i | ||||||
\(826\) | 2.54102e16 | − | 1.03981e16i | 0.0800071 | − | 0.0327397i | ||||
\(827\) | 6.48794e16 | 0.202803 | 0.101401 | − | 0.994846i | \(-0.467667\pi\) | ||||
0.101401 | + | 0.994846i | \(0.467667\pi\) | |||||||
\(828\) | −1.69278e16 | + | 2.93198e16i | −0.0525314 | + | 0.0909870i | ||||
\(829\) | 3.94012e17 | − | 2.27483e17i | 1.21390 | − | 0.700844i | 0.250291 | − | 0.968171i | \(-0.419474\pi\) |
0.963606 | + | 0.267327i | \(0.0861404\pi\) | |||||||
\(830\) | −2.67963e16 | − | 4.64126e16i | −0.0819609 | − | 0.141960i | ||||
\(831\) | 1.06730e16 | + | 6.16206e15i | 0.0324101 | + | 0.0187120i | ||||
\(832\) | 5.99487e16i | 0.180734i | ||||||||
\(833\) | 1.05567e17 | − | 3.80913e17i | 0.315980 | − | 1.14013i | ||||
\(834\) | −6.66172e15 | −0.0197966 | ||||||||
\(835\) | 7.72883e15 | − | 1.33867e16i | 0.0228032 | − | 0.0394962i | ||||
\(836\) | 3.18122e17 | − | 1.83668e17i | 0.931871 | − | 0.538016i | ||||
\(837\) | −3.62831e16 | − | 6.28443e16i | −0.105524 | − | 0.182773i | ||||
\(838\) | −3.72081e17 | − | 2.14821e17i | −1.07442 | − | 0.620316i | ||||
\(839\) | − | 4.60417e17i | − | 1.32002i | −0.751259 | − | 0.660008i | \(-0.770553\pi\) | ||
0.751259 | − | 0.660008i | \(-0.229447\pi\) | |||||||
\(840\) | −4.61569e14 | − | 1.12795e15i | −0.00131390 | − | 0.00321082i | ||||
\(841\) | −1.45688e17 | −0.411763 | ||||||||
\(842\) | −1.96480e17 | + | 3.40314e17i | −0.551374 | + | 0.955008i | ||||
\(843\) | 1.10459e16 | − | 6.37737e15i | 0.0307777 | − | 0.0177695i | ||||
\(844\) | 3.27406e16 | + | 5.67085e16i | 0.0905800 | + | 0.156889i | ||||
\(845\) | −6.30586e16 | − | 3.64069e16i | −0.173222 | − | 0.100010i | ||||
\(846\) | 1.02690e17i | 0.280096i | ||||||||
\(847\) | 9.91987e17 | + | 1.34918e17i | 2.68661 | + | 0.365401i | ||||
\(848\) | −3.03145e16 | −0.0815220 | ||||||||
\(849\) | −1.56525e15 | + | 2.71108e15i | −0.00417962 | + | 0.00723931i | ||||
\(850\) | 2.64054e17 | − | 1.52452e17i | 0.700131 | − | 0.404221i | ||||
\(851\) | 2.83372e16 | + | 4.90815e16i | 0.0746071 | + | 0.129223i | ||||
\(852\) | −7.82294e15 | − | 4.51658e15i | −0.0204518 | − | 0.0118079i | ||||
\(853\) | − | 4.56236e17i | − | 1.18439i | −0.805794 | − | 0.592196i | \(-0.798261\pi\) | ||
0.805794 | − | 0.592196i | \(-0.201739\pi\) | |||||||
\(854\) | −2.15193e16 | − | 1.66591e16i | −0.0554729 | − | 0.0429442i | ||||
\(855\) | 7.98124e16 | 0.204302 | ||||||||
\(856\) | 2.64406e16 | − | 4.57965e16i | 0.0672093 | − | 0.116410i | ||||
\(857\) | −1.55206e17 | + | 8.96082e16i | −0.391763 | + | 0.226184i | −0.682924 | − | 0.730490i | \(-0.739292\pi\) |
0.291161 | + | 0.956674i | \(0.405959\pi\) | |||||||
\(858\) | 2.10196e16 | + | 3.64071e16i | 0.0526868 | + | 0.0912562i | ||||
\(859\) | −5.84979e17 | − | 3.37738e17i | −1.45607 | − | 0.840660i | −0.457252 | − | 0.889337i | \(-0.651166\pi\) |
−0.998815 | + | 0.0486771i | \(0.984499\pi\) | |||||||
\(860\) | 4.26734e16i | 0.105479i | ||||||||
\(861\) | 1.44411e16 | − | 1.86542e16i | 0.0354471 | − | 0.0457885i | ||||
\(862\) | −1.21968e16 | −0.0297304 | ||||||||
\(863\) | 1.04495e17 | − | 1.80991e17i | 0.252948 | − | 0.438118i | −0.711388 | − | 0.702799i | \(-0.751933\pi\) |
0.964336 | + | 0.264681i | \(0.0852666\pi\) | |||||||
\(864\) | 6.80451e15 | − | 3.92859e15i | 0.0163574 | − | 0.00944396i | ||||
\(865\) | −3.65297e16 | − | 6.32713e16i | −0.0872066 | − | 0.151046i | ||||
\(866\) | 1.98690e17 | + | 1.14714e17i | 0.471052 | + | 0.271962i | ||||
\(867\) | 9.08348e15i | 0.0213864i | ||||||||
\(868\) | −5.69241e16 | + | 4.18535e17i | −0.133100 | + | 0.978618i | ||||
\(869\) | 7.71615e17 | 1.79177 | ||||||||
\(870\) | −1.15379e15 | + | 1.99842e15i | −0.00266079 | + | 0.00460863i | ||||
\(871\) | −4.58763e17 | + | 2.64867e17i | −1.05070 | + | 0.606622i | ||||
\(872\) | 1.31061e16 | + | 2.27004e16i | 0.0298108 | + | 0.0516338i | ||||
\(873\) | −1.88599e17 | − | 1.08888e17i | −0.426043 | − | 0.245976i | ||||
\(874\) | − | 7.41936e16i | − | 0.166455i | ||||||
\(875\) | −1.49803e17 | + | 6.13008e16i | −0.333789 | + | 0.136590i | ||||
\(876\) | 1.39443e16 | 0.0308583 | ||||||||
\(877\) | 1.11780e17 | − | 1.93609e17i | 0.245679 | − | 0.425529i | −0.716643 | − | 0.697440i | \(-0.754322\pi\) |
0.962322 | + | 0.271911i | \(0.0876557\pi\) | |||||||
\(878\) | 6.42012e15 | − | 3.70666e15i | 0.0140144 | − | 0.00809124i | ||||
\(879\) | 7.18804e15 | + | 1.24500e16i | 0.0155839 | + | 0.0269922i | ||||
\(880\) | 3.55273e16 | + | 2.05117e16i | 0.0765008 | + | 0.0441677i | ||||
\(881\) | 9.10277e17i | 1.94678i | 0.229144 | + | 0.973392i | \(0.426407\pi\) | ||||
−0.229144 | + | 0.973392i | \(0.573593\pi\) | |||||||
\(882\) | −3.19877e17 | − | 8.86515e16i | −0.679471 | − | 0.188311i | ||||
\(883\) | 4.97000e17 | 1.04856 | 0.524279 | − | 0.851547i | \(-0.324335\pi\) | ||||
0.524279 | + | 0.851547i | \(0.324335\pi\) | |||||||
\(884\) | −2.04084e17 | + | 3.53483e17i | −0.427656 | + | 0.740722i | ||||
\(885\) | 4.99153e14 | − | 2.88186e14i | 0.00103890 | − | 0.000599809i | ||||
\(886\) | −1.97195e17 | − | 3.41552e17i | −0.407656 | − | 0.706080i | ||||
\(887\) | −2.48013e17 | − | 1.43190e17i | −0.509252 | − | 0.294017i | 0.223274 | − | 0.974756i | \(-0.428325\pi\) |
−0.732526 | + | 0.680739i | \(0.761659\pi\) | |||||||
\(888\) | − | 6.56705e15i | − | 0.0133935i | ||||||
\(889\) | −2.32529e17 | − | 5.68239e17i | −0.471049 | − | 1.15112i | ||||
\(890\) | −3.37583e16 | −0.0679267 | ||||||||
\(891\) | −4.77816e17 | + | 8.27601e17i | −0.954980 | + | 1.65407i | ||||
\(892\) | 3.16878e17 | − | 1.82950e17i | 0.629076 | − | 0.363197i | ||||
\(893\) | −1.12521e17 | − | 1.94892e17i | −0.221884 | − | 0.384314i | ||||
\(894\) | −1.02250e16 | − | 5.90339e15i | −0.0200280 | − | 0.0115632i | ||||
\(895\) | − | 1.03136e17i | − | 0.200666i | ||||||
\(896\) | −4.53172e16 | − | 6.16350e15i | −0.0875820 | − | 0.0119119i | ||||
\(897\) | 8.49100e15 | 0.0163006 | ||||||||
\(898\) | 1.21849e17 | − | 2.11049e17i | 0.232362 | − | 0.402463i | ||||
\(899\) | 6.92609e17 | − | 3.99878e17i | 1.31199 | − | 0.757477i | ||||
\(900\) | −1.28023e17 | − | 2.21743e17i | −0.240898 | − | 0.417248i | ||||
\(901\) | −1.78747e17 | − | 1.03200e17i | −0.334111 | − | 0.192899i | ||||
\(902\) | 7.94075e17i | 1.47442i | ||||||||
\(903\) | −2.63803e16 | − | 2.04222e16i | −0.0486578 | − | 0.0376684i | ||||
\(904\) | 1.46459e17 | 0.268353 | ||||||||
\(905\) | −1.61501e16 | + | 2.79728e16i | −0.0293957 | + | 0.0509149i | ||||
\(906\) | 8.00460e14 | − | 4.62146e14i | 0.00144734 | − | 0.000835622i | ||||
\(907\) | 1.65405e17 | + | 2.86490e17i | 0.297102 | + | 0.514595i | 0.975472 | − | 0.220126i | \(-0.0706467\pi\) |
−0.678370 | + | 0.734720i | \(0.737313\pi\) | |||||||
\(908\) | 2.89488e17 | + | 1.67136e17i | 0.516554 | + | 0.298233i | ||||
\(909\) | 7.38734e17i | 1.30950i | ||||||||
\(910\) | 6.51854e16 | − | 8.42029e16i | 0.114790 | − | 0.148279i | ||||
\(911\) | −7.13090e17 | −1.24748 | −0.623741 | − | 0.781631i | \(-0.714388\pi\) | ||||
−0.623741 | + | 0.781631i | \(0.714388\pi\) | |||||||
\(912\) | −4.29852e15 | + | 7.44526e15i | −0.00747051 | + | 0.0129393i | ||||
\(913\) | −1.22136e18 | + | 7.05153e17i | −2.10872 | + | 1.21747i | ||||
\(914\) | −2.99953e17 | − | 5.19533e17i | −0.514488 | − | 0.891120i | ||||
\(915\) | −4.94765e14 | − | 2.85653e14i | −0.000843087 | − | 0.000486756i | ||||
\(916\) | − | 4.05259e17i | − | 0.686056i | ||||||
\(917\) | −7.25139e16 | + | 5.33159e17i | −0.121957 | + | 0.896687i | ||||
\(918\) | 5.34965e16 | 0.0893859 | ||||||||
\(919\) | −1.91376e17 | + | 3.31473e17i | −0.317684 | + | 0.550244i | −0.980004 | − | 0.198976i | \(-0.936238\pi\) |
0.662321 | + | 0.749220i | \(0.269572\pi\) | |||||||
\(920\) | 7.17572e15 | − | 4.14290e15i | 0.0118342 | − | 0.00683247i | ||||
\(921\) | 1.24147e16 | + | 2.15028e16i | 0.0203412 | + | 0.0352320i | ||||
\(922\) | −5.34225e17 | − | 3.08435e17i | −0.869639 | − | 0.502086i | ||||
\(923\) | − | 7.89262e17i | − | 1.27647i | ||||||
\(924\) | −2.96824e16 | + | 1.21463e16i | −0.0476944 | + | 0.0195170i | ||||
\(925\) | −4.28623e17 | −0.684267 | ||||||||
\(926\) | 3.00705e17 | − | 5.20836e17i | 0.476951 | − | 0.826104i | ||||
\(927\) | 6.63390e17 | − | 3.83008e17i | 1.04542 | − | 0.603573i | ||||
\(928\) | 4.32971e16 | + | 7.49928e16i | 0.0677909 | + | 0.117417i | ||||
\(929\) | 4.43731e17 | + | 2.56188e17i | 0.690281 | + | 0.398534i | 0.803717 | − | 0.595011i | \(-0.202852\pi\) |
−0.113436 | + | 0.993545i | \(0.536186\pi\) | |||||||
\(930\) | 8.86719e15i | 0.0137053i | ||||||||
\(931\) | 7.04223e17 | − | 1.82251e17i | 1.08146 | − | 0.279880i | ||||
\(932\) | −3.90986e17 | −0.596576 | ||||||||
\(933\) | −2.56926e16 | + | 4.45008e16i | −0.0389509 | + | 0.0674649i | ||||
\(934\) | −2.69430e17 | + | 1.55555e17i | −0.405849 | + | 0.234317i | ||||
\(935\) | 1.39656e17 | + | 2.41891e17i | 0.209021 | + | 0.362035i | ||||
\(936\) | 2.96842e17 | + | 1.71382e17i | 0.441439 | + | 0.254865i | ||||
\(937\) | − | 1.03036e18i | − | 1.52248i | −0.648471 | − | 0.761239i | \(-0.724591\pi\) | ||
0.648471 | − | 0.761239i | \(-0.275409\pi\) | |||||||
\(938\) | −1.53055e17 | − | 3.74025e17i | −0.224714 | − | 0.549141i | ||||
\(939\) | −2.75486e16 | −0.0401889 | ||||||||
\(940\) | 1.25662e16 | − | 2.17652e16i | 0.0182153 | − | 0.0315498i | ||||
\(941\) | −8.34992e17 | + | 4.82083e17i | −1.20266 | + | 0.694359i | −0.961147 | − | 0.276038i | \(-0.910979\pi\) |
−0.241518 | + | 0.970396i | \(0.577645\pi\) | |||||||
\(942\) | −1.37937e16 | − | 2.38914e16i | −0.0197413 | − | 0.0341930i | ||||
\(943\) | 1.38898e17 | + | 8.01928e16i | 0.197527 | + | 0.114042i | ||||
\(944\) | − | 2.16289e16i | − | 0.0305635i | ||||||
\(945\) | −1.38293e16 | − | 1.88089e15i | −0.0194182 | − | 0.00264103i | ||||
\(946\) | 1.12296e18 | 1.56682 | ||||||||
\(947\) | 1.23888e17 | − | 2.14580e17i | 0.171763 | − | 0.297502i | −0.767273 | − | 0.641320i | \(-0.778387\pi\) |
0.939036 | + | 0.343818i | \(0.111720\pi\) | |||||||
\(948\) | −1.56393e16 | + | 9.02936e15i | −0.0215461 | + | 0.0124396i | ||||
\(949\) | 6.09183e17 | + | 1.05514e18i | 0.833970 | + | 1.44448i | ||||
\(950\) | 4.85943e17 | + | 2.80559e17i | 0.661064 | + | 0.381666i | ||||
\(951\) | − | 2.91118e16i | − | 0.0393537i | ||||||
\(952\) | −2.46227e17 | − | 1.90616e17i | −0.330761 | − | 0.256058i | ||||
\(953\) | −1.21407e18 | −1.62064 | −0.810320 | − | 0.585988i | \(-0.800707\pi\) | ||||
−0.810320 | + | 0.585988i | \(0.800707\pi\) | |||||||
\(954\) | −8.66633e16 | + | 1.50105e17i | −0.114960 | + | 0.199116i | ||||
\(955\) | 2.45539e16 | − | 1.41762e16i | 0.0323669 | − | 0.0186870i | ||||
\(956\) | 1.83401e17 | + | 3.17660e17i | 0.240245 | + | 0.416116i | ||||
\(957\) | 5.25890e16 | + | 3.03623e16i | 0.0684579 | + | 0.0395242i | ||||
\(958\) | − | 1.54952e17i | − | 0.200449i | ||||||
\(959\) | −4.09884e17 | + | 5.29465e17i | −0.526925 | + | 0.680652i | ||||
\(960\) | −9.60102e14 | −0.00122656 | ||||||||
\(961\) | 1.14275e18 | − | 1.97931e18i | 1.45082 | − | 2.51289i | ||||
\(962\) | 4.96915e17 | − | 2.86894e17i | 0.626949 | − | 0.361969i | ||||
\(963\) | −1.51177e17 | − | 2.61847e17i | −0.189552 | − | 0.328314i | ||||
\(964\) | −3.51665e17 | − | 2.03034e17i | −0.438195 | − | 0.252992i | ||||
\(965\) | 1.25830e17i | 0.155819i | ||||||||
\(966\) | −8.72985e14 | + | 6.41863e15i | −0.00107435 | + | 0.00789913i | ||||
\(967\) | 1.21549e18 | 1.48660 | 0.743298 | − | 0.668960i | \(-0.233260\pi\) | ||||
0.743298 | + | 0.668960i | \(0.233260\pi\) | |||||||
\(968\) | 3.94333e17 | − | 6.83004e17i | 0.479303 | − | 0.830178i | ||||
\(969\) | −5.06919e16 | + | 2.92670e16i | −0.0612344 | + | 0.0353537i | ||||
\(970\) | 2.66491e16 | + | 4.61576e16i | 0.0319928 | + | 0.0554131i | ||||
\(971\) | 1.14900e18 | + | 6.63374e17i | 1.37089 | + | 0.791486i | 0.991041 | − | 0.133560i | \(-0.0426410\pi\) |
0.379854 | + | 0.925047i | \(0.375974\pi\) | |||||||
\(972\) | − | 6.74187e16i | − | 0.0799434i | ||||||
\(973\) | 4.10971e17 | − | 1.68173e17i | 0.484322 | − | 0.198189i | ||||
\(974\) | −7.16259e17 | −0.838911 | ||||||||
\(975\) | −3.21083e16 | + | 5.56132e16i | −0.0373757 | + | 0.0647367i | ||||
\(976\) | −1.85665e16 | + | 1.07194e16i | −0.0214799 | + | 0.0124014i | ||||
\(977\) | 2.13451e17 | + | 3.69708e17i | 0.245432 | + | 0.425100i | 0.962253 | − | 0.272157i | \(-0.0877370\pi\) |
−0.716821 | + | 0.697257i | \(0.754404\pi\) | |||||||
\(978\) | −3.71881e15 | − | 2.14706e15i | −0.00424983 | − | 0.00245364i | ||||
\(979\) | 8.88359e17i | 1.00900i | ||||||||
\(980\) | 5.69498e16 | + | 5.79330e16i | 0.0642888 | + | 0.0653987i | ||||
\(981\) | 1.49871e17 | 0.168153 | ||||||||
\(982\) | −5.12635e17 | + | 8.87909e17i | −0.571662 | + | 0.990147i | ||||
\(983\) | 5.22072e17 | − | 3.01418e17i | 0.578641 | − | 0.334079i | −0.181952 | − | 0.983307i | \(-0.558242\pi\) |
0.760593 | + | 0.649229i | \(0.224908\pi\) | |||||||
\(984\) | −9.29219e15 | − | 1.60945e16i | −0.0102364 | − | 0.0177300i | ||||
\(985\) | 9.63639e16 | + | 5.56358e16i | 0.105511 | + | 0.0609167i | ||||
\(986\) | 5.89587e17i | 0.641632i | ||||||||
\(987\) | 7.44126e15 | + | 1.81845e16i | 0.00804903 | + | 0.0196697i | ||||
\(988\) | −7.51157e17 | −0.807587 | ||||||||
\(989\) | 1.13407e17 | − | 1.96426e17i | 0.121188 | − | 0.209904i | ||||
\(990\) | 2.03131e17 | − | 1.17278e17i | 0.215758 | − | 0.124568i | ||||
\(991\) | −3.24511e17 | − | 5.62069e17i | −0.342600 | − | 0.593400i | 0.642315 | − | 0.766441i | \(-0.277974\pi\) |
−0.984915 | + | 0.173041i | \(0.944641\pi\) | |||||||
\(992\) | 2.88170e17 | + | 1.66375e17i | 0.302398 | + | 0.174590i | ||||
\(993\) | − | 4.41980e16i | − | 0.0461007i | ||||||
\(994\) | 5.96629e17 | + | 8.11463e16i | 0.618566 | + | 0.0841299i | ||||
\(995\) | −5.42574e16 | −0.0559140 | ||||||||
\(996\) | 1.65032e16 | − | 2.85845e16i | 0.0169049 | − | 0.0292802i | ||||
\(997\) | −9.77523e17 | + | 5.64373e17i | −0.995304 | + | 0.574639i | −0.906856 | − | 0.421442i | \(-0.861524\pi\) |
−0.0884486 | + | 0.996081i | \(0.528191\pi\) | |||||||
\(998\) | 2.05265e17 | + | 3.55530e17i | 0.207746 | + | 0.359826i | ||||
\(999\) | −6.51282e16 | − | 3.76018e16i | −0.0655203 | − | 0.0378282i |
(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 | 14.13.d.a.5.7 | yes | 16 | |
3.2 | odd | 2 | 126.13.n.a.19.2 | 16 | |||
4.3 | odd | 2 | 112.13.s.c.33.4 | 16 | |||
7.2 | even | 3 | 98.13.b.c.97.4 | 16 | |||
7.3 | odd | 6 | inner | 14.13.d.a.3.7 | ✓ | 16 | |
7.4 | even | 3 | 98.13.d.a.31.6 | 16 | |||
7.5 | odd | 6 | 98.13.b.c.97.5 | 16 | |||
7.6 | odd | 2 | 98.13.d.a.19.6 | 16 | |||
21.17 | even | 6 | 126.13.n.a.73.2 | 16 | |||
28.3 | even | 6 | 112.13.s.c.17.4 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.13.d.a.3.7 | ✓ | 16 | 7.3 | odd | 6 | inner | |
14.13.d.a.5.7 | yes | 16 | 1.1 | even | 1 | trivial | |
98.13.b.c.97.4 | 16 | 7.2 | even | 3 | |||
98.13.b.c.97.5 | 16 | 7.5 | odd | 6 | |||
98.13.d.a.19.6 | 16 | 7.6 | odd | 2 | |||
98.13.d.a.31.6 | 16 | 7.4 | even | 3 | |||
112.13.s.c.17.4 | 16 | 28.3 | even | 6 | |||
112.13.s.c.33.4 | 16 | 4.3 | odd | 2 | |||
126.13.n.a.19.2 | 16 | 3.2 | odd | 2 | |||
126.13.n.a.73.2 | 16 | 21.17 | even | 6 |