Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [38,10,Mod(5,38)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(38, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([16]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("38.5");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 38 = 2 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 38.e (of order \(9\), degree \(6\), 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: | \(19.5713617742\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 9.6 | ||
Character | \(\chi\) | \(=\) | 38.9 |
Dual form | 38.10.e.a.17.6 |
$q$-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 \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.77837 | − | 15.7569i | −0.122788 | − | 0.696364i | ||||
\(3\) | 117.543 | − | 98.6302i | 0.837820 | − | 0.703015i | −0.119252 | − | 0.992864i | \(-0.538050\pi\) |
0.957072 | + | 0.289849i | \(0.0936052\pi\) | |||||||
\(4\) | −240.561 | + | 87.5572i | −0.469846 | + | 0.171010i | ||||
\(5\) | −1860.80 | − | 677.275i | −1.33148 | − | 0.484618i | −0.424359 | − | 0.905494i | \(-0.639501\pi\) |
−0.907118 | + | 0.420876i | \(0.861723\pi\) | |||||||
\(6\) | −1880.69 | − | 1578.08i | −0.592428 | − | 0.497106i | ||||
\(7\) | −1980.53 | + | 3430.38i | −0.311775 | + | 0.540009i | −0.978747 | − | 0.205073i | \(-0.934257\pi\) |
0.666972 | + | 0.745083i | \(0.267590\pi\) | |||||||
\(8\) | 2048.00 | + | 3547.24i | 0.176777 | + | 0.306186i | ||||
\(9\) | 670.500 | − | 3802.60i | 0.0340649 | − | 0.193192i | ||||
\(10\) | −5501.78 | + | 31202.1i | −0.173982 | + | 0.986699i | ||||
\(11\) | 21705.4 | + | 37594.9i | 0.446993 | + | 0.774215i | 0.998189 | − | 0.0601610i | \(-0.0191614\pi\) |
−0.551195 | + | 0.834376i | \(0.685828\pi\) | |||||||
\(12\) | −19640.5 | + | 34018.3i | −0.273424 | + | 0.473585i | ||||
\(13\) | 31908.2 | + | 26774.2i | 0.309854 | + | 0.259998i | 0.784432 | − | 0.620215i | \(-0.212955\pi\) |
−0.474578 | + | 0.880214i | \(0.657399\pi\) | |||||||
\(14\) | 59554.9 | + | 21676.2i | 0.414325 | + | 0.150802i | ||||
\(15\) | −285523. | + | 103922.i | −1.45623 | + | 0.530025i | ||||
\(16\) | 50203.5 | − | 42125.7i | 0.191511 | − | 0.160697i | ||||
\(17\) | −21965.0 | − | 124570.i | −0.0637839 | − | 0.361736i | −0.999948 | − | 0.0101737i | \(-0.996762\pi\) |
0.936164 | − | 0.351563i | \(-0.114350\pi\) | |||||||
\(18\) | −61780.1 | −0.138715 | ||||||||
\(19\) | −563277. | − | 73531.6i | −0.991587 | − | 0.129444i | ||||
\(20\) | 506936. | 0.708464 | ||||||||
\(21\) | 105542. | + | 598557.i | 0.118423 | + | 0.671613i | ||||
\(22\) | 532074. | − | 446463.i | 0.484250 | − | 0.406334i | ||||
\(23\) | 717634. | − | 261198.i | 0.534722 | − | 0.194623i | −0.0605236 | − | 0.998167i | \(-0.519277\pi\) |
0.595245 | + | 0.803544i | \(0.297055\pi\) | |||||||
\(24\) | 590593. | + | 214958.i | 0.363360 | + | 0.132252i | ||||
\(25\) | 1.50768e6 | + | 1.26510e6i | 0.771933 | + | 0.647729i | ||||
\(26\) | 333226. | − | 577164.i | 0.143007 | − | 0.247696i | ||||
\(27\) | 1.21386e6 | + | 2.10246e6i | 0.439572 | + | 0.761361i | ||||
\(28\) | 176085. | − | 998627.i | 0.0541391 | − | 0.307038i | ||||
\(29\) | −1.15548e6 | + | 6.55307e6i | −0.303370 | + | 1.72050i | 0.327709 | + | 0.944779i | \(0.393723\pi\) |
−0.631079 | + | 0.775718i | \(0.717388\pi\) | |||||||
\(30\) | 2.43078e6 | + | 4.21023e6i | 0.547898 | + | 0.948988i | ||||
\(31\) | −174065. | + | 301490.i | −0.0338520 | + | 0.0586334i | −0.882455 | − | 0.470397i | \(-0.844111\pi\) |
0.848603 | + | 0.529030i | \(0.177444\pi\) | |||||||
\(32\) | −803256. | − | 674012.i | −0.135419 | − | 0.113630i | ||||
\(33\) | 6.25931e6 | + | 2.27820e6i | 0.918785 | + | 0.334410i | ||||
\(34\) | −1.90181e6 | + | 692201.i | −0.244068 | + | 0.0888336i | ||||
\(35\) | 6.00868e6 | − | 5.04188e6i | 0.676819 | − | 0.567919i | ||||
\(36\) | 171648. | + | 973465.i | 0.0170325 | + | 0.0965959i | ||||
\(37\) | 539830. | 0.0473532 | 0.0236766 | − | 0.999720i | \(-0.492463\pi\) | ||||
0.0236766 | + | 0.999720i | \(0.492463\pi\) | |||||||
\(38\) | 406361. | + | 9.07981e6i | 0.0316144 | + | 0.706400i | ||||
\(39\) | 6.39132e6 | 0.442385 | ||||||||
\(40\) | −1.40846e6 | − | 7.98775e6i | −0.0869908 | − | 0.493349i | ||||
\(41\) | −5.62806e6 | + | 4.72250e6i | −0.311051 | + | 0.261003i | −0.784926 | − | 0.619589i | \(-0.787299\pi\) |
0.473875 | + | 0.880592i | \(0.342855\pi\) | |||||||
\(42\) | 9.13819e6 | − | 3.32603e6i | 0.453146 | − | 0.164932i | ||||
\(43\) | −1.78211e7 | − | 6.48636e6i | −0.794927 | − | 0.289330i | −0.0875444 | − | 0.996161i | \(-0.527902\pi\) |
−0.707383 | + | 0.706831i | \(0.750124\pi\) | |||||||
\(44\) | −8.51319e6 | − | 7.14341e6i | −0.342417 | − | 0.287322i | ||||
\(45\) | −3.82307e6 | + | 6.62174e6i | −0.138981 | + | 0.240722i | ||||
\(46\) | −6.10952e6 | − | 1.05820e7i | −0.201186 | − | 0.348464i | ||||
\(47\) | −4.20680e6 | + | 2.38579e7i | −0.125751 | + | 0.713169i | 0.855108 | + | 0.518450i | \(0.173491\pi\) |
−0.980859 | + | 0.194719i | \(0.937620\pi\) | |||||||
\(48\) | 1.74619e6 | − | 9.90316e6i | 0.0474796 | − | 0.269270i | ||||
\(49\) | 1.23318e7 | + | 2.13593e7i | 0.305593 | + | 0.529303i | ||||
\(50\) | 1.57451e7 | − | 2.72713e7i | 0.356271 | − | 0.617080i | ||||
\(51\) | −1.48682e7 | − | 1.24759e7i | −0.307745 | − | 0.258229i | ||||
\(52\) | −1.00201e7 | − | 3.64703e6i | −0.190046 | − | 0.0691711i | ||||
\(53\) | −9.56618e7 | + | 3.48181e7i | −1.66532 | + | 0.606126i | −0.991185 | − | 0.132483i | \(-0.957705\pi\) |
−0.674133 | + | 0.738610i | \(0.735483\pi\) | |||||||
\(54\) | 2.97557e7 | − | 2.49680e7i | 0.476210 | − | 0.399588i | ||||
\(55\) | −1.49273e7 | − | 8.46570e7i | −0.219963 | − | 1.24747i | ||||
\(56\) | −1.62245e7 | −0.220458 | ||||||||
\(57\) | −7.34616e7 | + | 4.69130e7i | −0.921773 | + | 0.588649i | ||||
\(58\) | 1.06467e8 | 1.23534 | ||||||||
\(59\) | 6.13196e6 | + | 3.47761e7i | 0.0658817 | + | 0.373634i | 0.999867 | + | 0.0163218i | \(0.00519564\pi\) |
−0.933985 | + | 0.357312i | \(0.883693\pi\) | |||||||
\(60\) | 5.95867e7 | − | 4.99992e7i | 0.593566 | − | 0.498061i | ||||
\(61\) | −4.84419e7 | + | 1.76314e7i | −0.447958 | + | 0.163043i | −0.556142 | − | 0.831088i | \(-0.687719\pi\) |
0.108184 | + | 0.994131i | \(0.465497\pi\) | |||||||
\(62\) | 5.23417e6 | + | 1.90508e6i | 0.0449868 | + | 0.0163739i | ||||
\(63\) | 1.17164e7 | + | 9.83124e6i | 0.0937049 | + | 0.0786277i | ||||
\(64\) | −8.38861e6 | + | 1.45295e7i | −0.0625000 | + | 0.108253i | ||||
\(65\) | −4.12412e7 | − | 7.14319e7i | −0.286564 | − | 0.496343i | ||||
\(66\) | 1.85068e7 | − | 1.04957e8i | 0.120056 | − | 0.680870i | ||||
\(67\) | 5.42040e7 | − | 3.07406e8i | 0.328620 | − | 1.86370i | −0.154285 | − | 0.988026i | \(-0.549307\pi\) |
0.482905 | − | 0.875673i | \(-0.339582\pi\) | |||||||
\(68\) | 1.61909e7 | + | 2.80435e7i | 0.0918292 | + | 0.159053i | ||||
\(69\) | 5.85909e7 | − | 1.01482e8i | 0.311178 | − | 0.538976i | ||||
\(70\) | −9.61388e7 | − | 8.06701e7i | −0.478583 | − | 0.401579i | ||||
\(71\) | 1.56978e7 | + | 5.71354e6i | 0.0733122 | + | 0.0266835i | 0.378416 | − | 0.925636i | \(-0.376469\pi\) |
−0.305104 | + | 0.952319i | \(0.598691\pi\) | |||||||
\(72\) | 1.48619e7 | − | 5.40929e6i | 0.0651746 | − | 0.0237216i | ||||
\(73\) | −3.27339e8 | + | 2.74670e8i | −1.34910 | + | 1.13203i | −0.369914 | + | 0.929066i | \(0.620613\pi\) |
−0.979186 | + | 0.202964i | \(0.934943\pi\) | |||||||
\(74\) | −1.49985e6 | − | 8.50606e6i | −0.00581440 | − | 0.0329751i | ||||
\(75\) | 3.01994e8 | 1.10210 | ||||||||
\(76\) | 1.41941e8 | − | 3.16301e7i | 0.488030 | − | 0.108752i | ||||
\(77\) | −1.71953e8 | −0.557445 | ||||||||
\(78\) | −1.77575e7 | − | 1.00708e8i | −0.0543194 | − | 0.308061i | ||||
\(79\) | −3.41554e8 | + | 2.86598e8i | −0.986592 | + | 0.827849i | −0.985071 | − | 0.172150i | \(-0.944929\pi\) |
−0.00152126 | + | 0.999999i | \(0.500484\pi\) | |||||||
\(80\) | −1.21949e8 | + | 4.43859e7i | −0.332869 | + | 0.121155i | ||||
\(81\) | 4.21464e8 | + | 1.53400e8i | 1.08787 | + | 0.395953i | ||||
\(82\) | 9.00490e7 | + | 7.55601e7i | 0.219946 | + | 0.184557i | ||||
\(83\) | −8.31499e7 | + | 1.44020e8i | −0.192314 | + | 0.333097i | −0.946017 | − | 0.324118i | \(-0.894932\pi\) |
0.753703 | + | 0.657215i | \(0.228266\pi\) | |||||||
\(84\) | −7.77973e7 | − | 1.34749e8i | −0.170493 | − | 0.295303i | ||||
\(85\) | −4.34955e7 | + | 2.46675e8i | −0.0903772 | + | 0.512555i | ||||
\(86\) | −5.26914e7 | + | 2.98828e8i | −0.103872 | + | 0.589085i | ||||
\(87\) | 5.10512e8 | + | 8.84233e8i | 0.955365 | + | 1.65474i | ||||
\(88\) | −8.89054e7 | + | 1.53989e8i | −0.158036 | + | 0.273726i | ||||
\(89\) | 1.21793e8 | + | 1.02196e8i | 0.205762 | + | 0.172655i | 0.739845 | − | 0.672777i | \(-0.234899\pi\) |
−0.534083 | + | 0.845432i | \(0.679343\pi\) | |||||||
\(90\) | 1.14960e8 | + | 4.18421e7i | 0.184695 | + | 0.0672237i | ||||
\(91\) | −1.55041e8 | + | 5.64302e7i | −0.237006 | + | 0.0862632i | ||||
\(92\) | −1.49765e8 | + | 1.25668e8i | −0.217955 | + | 0.182886i | ||||
\(93\) | 9.27587e6 | + | 5.26061e7i | 0.0128582 | + | 0.0729227i | ||||
\(94\) | 3.87616e8 | 0.512066 | ||||||||
\(95\) | 9.98342e8 | + | 5.18320e8i | 1.25754 | + | 0.652893i | ||||
\(96\) | −1.60895e8 | −0.193340 | ||||||||
\(97\) | −2.50398e8 | − | 1.42008e9i | −0.287182 | − | 1.62869i | −0.697384 | − | 0.716697i | \(-0.745653\pi\) |
0.410202 | − | 0.911995i | \(-0.365458\pi\) | |||||||
\(98\) | 3.02294e8 | − | 2.53655e8i | 0.331065 | − | 0.277796i | ||||
\(99\) | 1.57512e8 | − | 5.73296e7i | 0.164799 | − | 0.0599819i | ||||
\(100\) | −4.73458e8 | − | 1.72325e8i | −0.473458 | − | 0.172325i | ||||
\(101\) | −8.24088e7 | − | 6.91492e7i | −0.0788002 | − | 0.0661212i | 0.602537 | − | 0.798091i | \(-0.294157\pi\) |
−0.681337 | + | 0.731970i | \(0.738601\pi\) | |||||||
\(102\) | −1.55272e8 | + | 2.68939e8i | −0.142034 | + | 0.246010i | ||||
\(103\) | −2.26422e8 | − | 3.92175e8i | −0.198222 | − | 0.343330i | 0.749730 | − | 0.661744i | \(-0.230183\pi\) |
−0.947952 | + | 0.318413i | \(0.896850\pi\) | |||||||
\(104\) | −2.96264e7 | + | 1.68019e8i | −0.0248330 | + | 0.140835i | ||||
\(105\) | 2.08996e8 | − | 1.18527e9i | 0.167798 | − | 0.951628i | ||||
\(106\) | 8.14410e8 | + | 1.41060e9i | 0.626566 | + | 1.08524i | ||||
\(107\) | 7.74535e8 | − | 1.34153e9i | 0.571234 | − | 0.989406i | −0.425206 | − | 0.905097i | \(-0.639798\pi\) |
0.996440 | − | 0.0843094i | \(-0.0268684\pi\) | |||||||
\(108\) | −4.76092e8 | − | 3.99488e8i | −0.336732 | − | 0.282551i | ||||
\(109\) | 5.50014e8 | + | 2.00189e8i | 0.373211 | + | 0.135838i | 0.521814 | − | 0.853059i | \(-0.325255\pi\) |
−0.148603 | + | 0.988897i | \(0.547478\pi\) | |||||||
\(110\) | −1.29246e9 | + | 4.70417e8i | −0.841686 | + | 0.306349i | ||||
\(111\) | 6.34532e7 | − | 5.32436e7i | 0.0396735 | − | 0.0332900i | ||||
\(112\) | 4.50777e7 | + | 2.55648e8i | 0.0270695 | + | 0.153519i | ||||
\(113\) | 1.78304e8 | 0.102875 | 0.0514373 | − | 0.998676i | \(-0.483620\pi\) | ||||
0.0514373 | + | 0.998676i | \(0.483620\pi\) | |||||||
\(114\) | 9.43308e8 | + | 1.02719e9i | 0.523097 | + | 0.569611i | ||||
\(115\) | −1.51227e9 | −0.806288 | ||||||||
\(116\) | −2.95804e8 | − | 1.67759e9i | −0.151685 | − | 0.860249i | ||||
\(117\) | 1.23206e8 | − | 1.03382e8i | 0.0607847 | − | 0.0510045i | ||||
\(118\) | 5.30927e8 | − | 1.93242e8i | 0.252096 | − | 0.0917554i | ||||
\(119\) | 4.70824e8 | + | 1.71366e8i | 0.215227 | + | 0.0783363i | ||||
\(120\) | −9.53388e8 | − | 7.99987e8i | −0.419714 | − | 0.352182i | ||||
\(121\) | 2.36723e8 | − | 4.10017e8i | 0.100394 | − | 0.173887i | ||||
\(122\) | 4.12407e8 | + | 7.14309e8i | 0.168541 | + | 0.291922i | ||||
\(123\) | −1.95757e8 | + | 1.11019e9i | −0.0771160 | + | 0.437347i | ||||
\(124\) | 1.54758e7 | − | 8.77674e7i | 0.00587834 | − | 0.0333377i | ||||
\(125\) | −1.48656e7 | − | 2.57480e7i | −0.00544613 | − | 0.00943297i | ||||
\(126\) | 1.22357e8 | − | 2.11929e8i | 0.0432477 | − | 0.0749072i | ||||
\(127\) | −3.81166e9 | − | 3.19836e9i | −1.30016 | − | 1.09097i | −0.990117 | − | 0.140244i | \(-0.955211\pi\) |
−0.310046 | − | 0.950722i | \(-0.600344\pi\) | |||||||
\(128\) | 2.52247e8 | + | 9.18103e7i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −2.73450e9 | + | 9.95276e8i | −0.869409 | + | 0.316439i | ||||
\(130\) | −1.01096e9 | + | 8.48299e8i | −0.310449 | + | 0.260498i | ||||
\(131\) | 2.87436e8 | + | 1.63013e9i | 0.0852747 | + | 0.483617i | 0.997297 | + | 0.0734762i | \(0.0234093\pi\) |
−0.912022 | + | 0.410141i | \(0.865480\pi\) | |||||||
\(132\) | −1.70522e9 | −0.488875 | ||||||||
\(133\) | 1.36783e9 | − | 1.78662e9i | 0.379053 | − | 0.495109i | ||||
\(134\) | −4.99437e9 | −1.33816 | ||||||||
\(135\) | −8.34795e8 | − | 4.73436e9i | −0.216311 | − | 1.22676i | ||||
\(136\) | 3.96894e8 | − | 3.33034e8i | 0.0994832 | − | 0.0834763i | ||||
\(137\) | −6.68194e8 | + | 2.43203e8i | −0.162054 | + | 0.0589829i | −0.421773 | − | 0.906701i | \(-0.638592\pi\) |
0.259719 | + | 0.965684i | \(0.416370\pi\) | |||||||
\(138\) | −1.76184e9 | − | 6.41256e8i | −0.413533 | − | 0.150514i | ||||
\(139\) | −2.35255e8 | − | 1.97402e8i | −0.0534529 | − | 0.0448523i | 0.615670 | − | 0.788004i | \(-0.288886\pi\) |
−0.669123 | + | 0.743152i | \(0.733330\pi\) | |||||||
\(140\) | −1.00400e9 | + | 1.73898e9i | −0.220881 | + | 0.382577i | ||||
\(141\) | 1.85863e9 | + | 3.21925e9i | 0.396012 | + | 0.685912i | ||||
\(142\) | 4.64134e7 | − | 2.63223e8i | 0.00957957 | − | 0.0543284i | ||||
\(143\) | −3.13991e8 | + | 1.78073e9i | −0.0627920 | + | 0.356111i | ||||
\(144\) | −1.26526e8 | − | 2.19149e8i | −0.0245215 | − | 0.0424725i | ||||
\(145\) | 6.58835e9 | − | 1.14114e10i | 1.23771 | − | 2.14378i | ||||
\(146\) | 5.23742e9 | + | 4.39471e9i | 0.953958 | + | 0.800466i | ||||
\(147\) | 3.55619e9 | + | 1.29435e9i | 0.628140 | + | 0.228624i | ||||
\(148\) | −1.29862e8 | + | 4.72660e7i | −0.0222487 | + | 0.00809788i | ||||
\(149\) | −1.38318e9 | + | 1.16063e9i | −0.229901 | + | 0.192910i | −0.750460 | − | 0.660916i | \(-0.770168\pi\) |
0.520559 | + | 0.853826i | \(0.325724\pi\) | |||||||
\(150\) | −8.39051e8 | − | 4.75850e9i | −0.135325 | − | 0.767466i | ||||
\(151\) | 6.04760e9 | 0.946645 | 0.473322 | − | 0.880889i | \(-0.343055\pi\) | ||||
0.473322 | + | 0.880889i | \(0.343055\pi\) | |||||||
\(152\) | −8.92757e8 | − | 2.14867e9i | −0.135655 | − | 0.326493i | ||||
\(153\) | −4.88416e8 | −0.0720573 | ||||||||
\(154\) | 4.77749e8 | + | 2.70945e9i | 0.0684474 | + | 0.388185i | ||||
\(155\) | 5.28091e8 | − | 4.43121e8i | 0.0734880 | − | 0.0616637i | ||||
\(156\) | −1.53751e9 | + | 5.59606e8i | −0.207853 | + | 0.0756522i | ||||
\(157\) | 1.39268e10 | + | 5.06893e9i | 1.82937 | + | 0.665836i | 0.993064 | + | 0.117573i | \(0.0375115\pi\) |
0.836306 | + | 0.548263i | \(0.184711\pi\) | |||||||
\(158\) | 5.46487e9 | + | 4.58557e9i | 0.697626 | + | 0.585378i | ||||
\(159\) | −7.81026e9 | + | 1.35278e10i | −0.969122 | + | 1.67857i | ||||
\(160\) | 1.03820e9 | + | 1.79822e9i | 0.125240 | + | 0.216922i | ||||
\(161\) | −5.25290e8 | + | 2.97907e9i | −0.0616145 | + | 0.349433i | ||||
\(162\) | 1.24613e9 | − | 7.06717e9i | 0.142150 | − | 0.806173i | ||||
\(163\) | 6.87542e8 | + | 1.19086e9i | 0.0762878 | + | 0.132134i | 0.901646 | − | 0.432476i | \(-0.142360\pi\) |
−0.825358 | + | 0.564610i | \(0.809027\pi\) | |||||||
\(164\) | 9.40405e8 | − | 1.62883e9i | 0.101512 | − | 0.175824i | ||||
\(165\) | −1.01043e10 | − | 8.47854e9i | −1.06128 | − | 0.890520i | ||||
\(166\) | 2.50033e9 | + | 9.10047e8i | 0.255571 | + | 0.0930202i | ||||
\(167\) | −1.46473e10 | + | 5.33118e9i | −1.45725 | + | 0.530395i | −0.944606 | − | 0.328207i | \(-0.893556\pi\) |
−0.512642 | + | 0.858602i | \(0.671333\pi\) | |||||||
\(168\) | −1.90708e9 | + | 1.60023e9i | −0.184704 | + | 0.154985i | ||||
\(169\) | −1.54017e9 | − | 8.73476e9i | −0.145238 | − | 0.823685i | ||||
\(170\) | 4.00769e9 | 0.368022 | ||||||||
\(171\) | −6.57288e8 | + | 2.09261e9i | −0.0587859 | + | 0.187157i | ||||
\(172\) | 4.85500e9 | 0.422972 | ||||||||
\(173\) | 3.20179e9 | + | 1.81583e10i | 0.271760 | + | 1.54123i | 0.749068 | + | 0.662493i | \(0.230502\pi\) |
−0.477308 | + | 0.878736i | \(0.658387\pi\) | |||||||
\(174\) | 1.25144e10 | − | 1.05008e10i | 1.03500 | − | 0.868464i | ||||
\(175\) | −7.32577e9 | + | 2.66636e9i | −0.590449 | + | 0.214906i | ||||
\(176\) | 2.67340e9 | + | 9.73038e8i | 0.210018 | + | 0.0764404i | ||||
\(177\) | 4.15074e9 | + | 3.48288e9i | 0.317867 | + | 0.266722i | ||||
\(178\) | 1.27191e9 | − | 2.20302e9i | 0.0949658 | − | 0.164486i | ||||
\(179\) | 1.02322e10 | + | 1.77226e10i | 0.744953 | + | 1.29030i | 0.950217 | + | 0.311590i | \(0.100862\pi\) |
−0.205263 | + | 0.978707i | \(0.565805\pi\) | |||||||
\(180\) | 3.39901e8 | − | 1.92767e9i | 0.0241338 | − | 0.136870i | ||||
\(181\) | −2.15581e9 | + | 1.22262e10i | −0.149299 | + | 0.846715i | 0.814516 | + | 0.580141i | \(0.197003\pi\) |
−0.963815 | + | 0.266574i | \(0.914108\pi\) | |||||||
\(182\) | 1.31993e9 | + | 2.28618e9i | 0.0891721 | + | 0.154451i | ||||
\(183\) | −3.95502e9 | + | 6.85029e9i | −0.260686 | + | 0.451522i | ||||
\(184\) | 2.39625e9 | + | 2.01069e9i | 0.154117 | + | 0.129320i | ||||
\(185\) | −1.00451e9 | − | 3.65613e8i | −0.0630497 | − | 0.0229482i | ||||
\(186\) | 8.03138e8 | − | 2.92318e8i | 0.0492019 | − | 0.0179080i | ||||
\(187\) | 4.20642e9 | − | 3.52961e9i | 0.251551 | − | 0.211076i | ||||
\(188\) | −1.07694e9 | − | 6.10763e9i | −0.0628755 | − | 0.356585i | ||||
\(189\) | −9.61631e9 | −0.548189 | ||||||||
\(190\) | 5.39337e9 | − | 1.71709e10i | 0.300240 | − | 0.955876i | ||||
\(191\) | −2.05078e10 | −1.11498 | −0.557492 | − | 0.830182i | \(-0.688236\pi\) | ||||
−0.557492 | + | 0.830182i | \(0.688236\pi\) | |||||||
\(192\) | 4.47026e8 | + | 2.53521e9i | 0.0237398 | + | 0.134635i | ||||
\(193\) | 1.98029e10 | − | 1.66166e10i | 1.02736 | − | 0.862055i | 0.0368234 | − | 0.999322i | \(-0.488276\pi\) |
0.990534 | + | 0.137266i | \(0.0438316\pi\) | |||||||
\(194\) | −2.16803e10 | + | 7.89100e9i | −1.09890 | + | 0.399967i | ||||
\(195\) | −1.18930e10 | − | 4.32868e9i | −0.589025 | − | 0.214388i | ||||
\(196\) | −4.83671e9 | − | 4.05848e9i | −0.234098 | − | 0.196432i | ||||
\(197\) | 2.06092e10 | − | 3.56962e10i | 0.974906 | − | 1.68859i | 0.294662 | − | 0.955601i | \(-0.404793\pi\) |
0.680244 | − | 0.732986i | \(-0.261874\pi\) | |||||||
\(198\) | −1.34096e9 | − | 2.32262e9i | −0.0620045 | − | 0.107395i | ||||
\(199\) | −7.15570e9 | + | 4.05820e10i | −0.323455 | + | 1.83440i | 0.196865 | + | 0.980431i | \(0.436924\pi\) |
−0.520319 | + | 0.853972i | \(0.674187\pi\) | |||||||
\(200\) | −1.39986e9 | + | 7.93903e9i | −0.0618659 | + | 0.350859i | ||||
\(201\) | −2.39482e10 | − | 4.14796e10i | −1.03488 | − | 1.79247i | ||||
\(202\) | −8.60616e8 | + | 1.49063e9i | −0.0363688 | + | 0.0629925i | ||||
\(203\) | −2.01911e10 | − | 1.69423e10i | −0.834501 | − | 0.700230i | ||||
\(204\) | 4.66906e9 | + | 1.69940e9i | 0.188753 | + | 0.0687004i | ||||
\(205\) | 1.36711e10 | − | 4.97588e9i | 0.540644 | − | 0.196778i | ||||
\(206\) | −5.55038e9 | + | 4.65732e9i | −0.214744 | + | 0.180191i | ||||
\(207\) | −5.12055e8 | − | 2.90401e9i | −0.0193843 | − | 0.109934i | ||||
\(208\) | 2.72978e9 | 0.101121 | ||||||||
\(209\) | −9.46175e9 | − | 2.27724e10i | −0.343015 | − | 0.825562i | ||||
\(210\) | −1.92569e10 | −0.683283 | ||||||||
\(211\) | −6.11408e9 | − | 3.46747e10i | −0.212354 | − | 1.20432i | −0.885440 | − | 0.464754i | \(-0.846143\pi\) |
0.673086 | − | 0.739564i | \(-0.264968\pi\) | |||||||
\(212\) | 1.99640e10 | − | 1.67518e10i | 0.678790 | − | 0.569573i | ||||
\(213\) | 2.40869e9 | − | 8.76693e8i | 0.0801813 | − | 0.0291836i | ||||
\(214\) | −2.32904e10 | − | 8.47701e9i | −0.759128 | − | 0.276300i | ||||
\(215\) | 2.87685e10 | + | 2.41396e10i | 0.918213 | + | 0.770472i | ||||
\(216\) | −4.97195e9 | + | 8.61167e9i | −0.155412 | + | 0.269182i | ||||
\(217\) | −6.89483e8 | − | 1.19422e9i | −0.0211084 | − | 0.0365608i | ||||
\(218\) | 1.62622e9 | − | 9.22273e9i | 0.0487668 | − | 0.276570i | ||||
\(219\) | −1.13856e10 | + | 6.45709e10i | −0.334470 | + | 1.89687i | ||||
\(220\) | 1.10033e10 | + | 1.90582e10i | 0.316679 | + | 0.548504i | ||||
\(221\) | 2.63438e9 | − | 4.56289e9i | 0.0742872 | − | 0.128669i | ||||
\(222\) | −1.01525e9 | − | 8.51897e8i | −0.0280534 | − | 0.0235396i | ||||
\(223\) | 3.33060e10 | + | 1.21224e10i | 0.901885 | + | 0.328259i | 0.751008 | − | 0.660293i | \(-0.229568\pi\) |
0.150877 | + | 0.988553i | \(0.451790\pi\) | |||||||
\(224\) | 3.90299e9 | − | 1.42057e9i | 0.103581 | − | 0.0377005i | ||||
\(225\) | 5.82155e9 | − | 4.88486e9i | 0.151432 | − | 0.127066i | ||||
\(226\) | −4.95395e8 | − | 2.80952e9i | −0.0126317 | − | 0.0716382i | ||||
\(227\) | 5.69288e10 | 1.42303 | 0.711517 | − | 0.702669i | \(-0.248008\pi\) | ||||
0.711517 | + | 0.702669i | \(0.248008\pi\) | |||||||
\(228\) | 1.35645e10 | − | 1.77175e10i | 0.332427 | − | 0.434207i | ||||
\(229\) | 1.31945e10 | 0.317054 | 0.158527 | − | 0.987355i | \(-0.449326\pi\) | ||||
0.158527 | + | 0.987355i | \(0.449326\pi\) | |||||||
\(230\) | 4.20166e9 | + | 2.38288e10i | 0.0990023 | + | 0.561470i | ||||
\(231\) | −2.02119e10 | + | 1.69598e10i | −0.467038 | + | 0.391892i | ||||
\(232\) | −2.56117e10 | + | 9.32191e9i | −0.580421 | + | 0.211256i | ||||
\(233\) | −4.35682e10 | − | 1.58575e10i | −0.968429 | − | 0.352479i | −0.191098 | − | 0.981571i | \(-0.561205\pi\) |
−0.777331 | + | 0.629092i | \(0.783427\pi\) | |||||||
\(234\) | −1.97129e9 | − | 1.65411e9i | −0.0429813 | − | 0.0360656i | ||||
\(235\) | 2.39864e10 | − | 4.15456e10i | 0.513049 | − | 0.888628i | ||||
\(236\) | −4.52000e9 | − | 7.82888e9i | −0.0948495 | − | 0.164284i | ||||
\(237\) | −1.18801e10 | + | 6.73751e10i | −0.244597 | + | 1.38718i | ||||
\(238\) | 1.39208e9 | − | 7.89485e9i | 0.0281233 | − | 0.159495i | ||||
\(239\) | −2.49762e10 | − | 4.32601e10i | −0.495150 | − | 0.857625i | 0.504835 | − | 0.863216i | \(-0.331554\pi\) |
−0.999984 | + | 0.00559148i | \(0.998220\pi\) | |||||||
\(240\) | −9.95647e9 | + | 1.72451e10i | −0.193711 | + | 0.335518i | ||||
\(241\) | −4.15968e10 | − | 3.49039e10i | −0.794298 | − | 0.666495i | 0.152507 | − | 0.988302i | \(-0.451265\pi\) |
−0.946805 | + | 0.321807i | \(0.895710\pi\) | |||||||
\(242\) | −7.11831e9 | − | 2.59085e9i | −0.133416 | − | 0.0485595i | ||||
\(243\) | 1.97671e10 | − | 7.19464e9i | 0.363676 | − | 0.132367i | ||||
\(244\) | 1.01095e10 | − | 8.48288e9i | 0.182589 | − | 0.153211i | ||||
\(245\) | −8.48085e9 | − | 4.80973e10i | −0.150381 | − | 0.852851i | ||||
\(246\) | 1.80371e10 | 0.314021 | ||||||||
\(247\) | −1.60044e10 | − | 1.74275e10i | −0.273592 | − | 0.297920i | ||||
\(248\) | −1.42594e9 | −0.0239370 | ||||||||
\(249\) | 4.43103e9 | + | 2.51296e10i | 0.0730479 | + | 0.414275i | ||||
\(250\) | −3.64407e8 | + | 3.05774e8i | −0.00590007 | + | 0.00495074i | ||||
\(251\) | −2.70961e10 | + | 9.86218e9i | −0.430899 | + | 0.156834i | −0.548359 | − | 0.836243i | \(-0.684747\pi\) |
0.117460 | + | 0.993078i | \(0.462525\pi\) | |||||||
\(252\) | −3.67931e9 | − | 1.33916e9i | −0.0574730 | − | 0.0209185i | ||||
\(253\) | 2.53962e10 | + | 2.13100e10i | 0.389697 | + | 0.326995i | ||||
\(254\) | −3.98062e10 | + | 6.89463e10i | −0.600066 | + | 1.03934i | ||||
\(255\) | 1.92170e10 | + | 3.32849e10i | 0.284614 | + | 0.492965i | ||||
\(256\) | 7.45813e8 | − | 4.22972e9i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 6.87579e9 | − | 3.89945e10i | 0.0983158 | − | 0.557577i | −0.895365 | − | 0.445333i | \(-0.853085\pi\) |
0.993681 | − | 0.112243i | \(-0.0358036\pi\) | |||||||
\(258\) | 2.32799e10 | + | 4.03221e10i | 0.327110 | + | 0.566571i | ||||
\(259\) | −1.06915e9 | + | 1.85182e9i | −0.0147635 | + | 0.0255712i | ||||
\(260\) | 1.61754e10 | + | 1.35728e10i | 0.219521 | + | 0.184200i | ||||
\(261\) | 2.41439e10 | + | 8.78767e9i | 0.322052 | + | 0.117217i | ||||
\(262\) | 2.48872e10 | − | 9.05821e9i | 0.326303 | − | 0.118765i | ||||
\(263\) | −2.02888e10 | + | 1.70243e10i | −0.261490 | + | 0.219416i | −0.764101 | − | 0.645096i | \(-0.776817\pi\) |
0.502611 | + | 0.864513i | \(0.332373\pi\) | |||||||
\(264\) | 4.73774e9 | + | 2.68690e10i | 0.0600279 | + | 0.340435i | ||||
\(265\) | 2.01589e11 | 2.51107 | ||||||||
\(266\) | −3.19520e10 | − | 1.65889e10i | −0.391319 | − | 0.203165i | ||||
\(267\) | 2.43955e10 | 0.293771 | ||||||||
\(268\) | 1.38762e10 | + | 7.86960e10i | 0.164310 | + | 0.931850i | ||||
\(269\) | −7.39636e10 | + | 6.20628e10i | −0.861256 | + | 0.722680i | −0.962238 | − | 0.272208i | \(-0.912246\pi\) |
0.100982 | + | 0.994888i | \(0.467802\pi\) | |||||||
\(270\) | −7.22796e10 | + | 2.63076e10i | −0.827711 | + | 0.301262i | ||||
\(271\) | 9.93545e10 | + | 3.61621e10i | 1.11899 | + | 0.407278i | 0.834283 | − | 0.551337i | \(-0.185882\pi\) |
0.284705 | + | 0.958615i | \(0.408104\pi\) | |||||||
\(272\) | −6.35031e9 | − | 5.32854e9i | −0.0703452 | − | 0.0590267i | ||||
\(273\) | −1.26582e10 | + | 2.19247e10i | −0.137924 | + | 0.238892i | ||||
\(274\) | 5.68862e9 | + | 9.85298e9i | 0.0609719 | + | 0.105606i | ||||
\(275\) | −1.48363e10 | + | 8.41406e10i | −0.156433 | + | 0.887173i | ||||
\(276\) | −5.20919e9 | + | 2.95428e10i | −0.0540355 | + | 0.306451i | ||||
\(277\) | −3.86363e10 | − | 6.69200e10i | −0.394308 | − | 0.682962i | 0.598704 | − | 0.800970i | \(-0.295682\pi\) |
−0.993013 | + | 0.118008i | \(0.962349\pi\) | |||||||
\(278\) | −2.45682e9 | + | 4.25535e9i | −0.0246702 | + | 0.0427300i | ||||
\(279\) | 1.02973e9 | + | 8.64048e8i | 0.0101743 | + | 0.00853727i | ||||
\(280\) | 3.01905e10 | + | 1.09885e10i | 0.293535 | + | 0.106838i | ||||
\(281\) | −7.99528e10 | + | 2.91005e10i | −0.764989 | + | 0.278433i | −0.694899 | − | 0.719107i | \(-0.744551\pi\) |
−0.0700904 | + | 0.997541i | \(0.522329\pi\) | |||||||
\(282\) | 4.55615e10 | − | 3.82306e10i | 0.429019 | − | 0.359990i | ||||
\(283\) | 1.35502e10 | + | 7.68469e10i | 0.125576 | + | 0.712176i | 0.980964 | + | 0.194189i | \(0.0622075\pi\) |
−0.855388 | + | 0.517987i | \(0.826681\pi\) | |||||||
\(284\) | −4.27655e9 | −0.0390086 | ||||||||
\(285\) | 1.68470e11 | − | 3.75419e10i | 1.51259 | − | 0.337065i | ||||
\(286\) | 2.89312e10 | 0.255693 | ||||||||
\(287\) | −5.05344e9 | − | 2.86595e10i | −0.0439661 | − | 0.249344i | ||||
\(288\) | −3.10158e9 | + | 2.60253e9i | −0.0265654 | + | 0.0222910i | ||||
\(289\) | 9.64010e10 | − | 3.50871e10i | 0.812908 | − | 0.295874i | ||||
\(290\) | −1.98113e11 | − | 7.21071e10i | −1.64483 | − | 0.598670i | ||||
\(291\) | −1.69495e11 | − | 1.42223e11i | −1.38560 | − | 1.16266i | ||||
\(292\) | 5.46957e10 | − | 9.47357e10i | 0.440281 | − | 0.762590i | ||||
\(293\) | −3.93594e10 | − | 6.81724e10i | −0.311992 | − | 0.540386i | 0.666801 | − | 0.745236i | \(-0.267663\pi\) |
−0.978794 | + | 0.204849i | \(0.934330\pi\) | |||||||
\(294\) | 1.05145e10 | − | 5.96307e10i | 0.0820778 | − | 0.465486i | ||||
\(295\) | 1.21426e10 | − | 6.88642e10i | 0.0933497 | − | 0.529413i | ||||
\(296\) | 1.10557e9 | + | 1.91491e9i | 0.00837094 | + | 0.0144989i | ||||
\(297\) | −5.26945e10 | + | 9.12695e10i | −0.392971 | + | 0.680646i | ||||
\(298\) | 2.21309e10 | + | 1.85700e10i | 0.162564 | + | 0.136408i | ||||
\(299\) | 2.98918e10 | + | 1.08797e10i | 0.216287 | + | 0.0787222i | ||||
\(300\) | −7.26481e10 | + | 2.64417e10i | −0.517820 | + | 0.188471i | ||||
\(301\) | 5.75460e10 | − | 4.82869e10i | 0.404079 | − | 0.339062i | ||||
\(302\) | −1.68025e10 | − | 9.52916e10i | −0.116236 | − | 0.659210i | ||||
\(303\) | −1.65068e10 | −0.112505 | ||||||||
\(304\) | −3.13760e10 | + | 2.00369e10i | −0.210701 | + | 0.134555i | ||||
\(305\) | 1.02082e11 | 0.675460 | ||||||||
\(306\) | 1.35700e9 | + | 7.69593e9i | 0.00884776 | + | 0.0501781i | ||||
\(307\) | 2.86017e10 | − | 2.39997e10i | 0.183768 | − | 0.154199i | −0.546263 | − | 0.837614i | \(-0.683950\pi\) |
0.730031 | + | 0.683414i | \(0.239506\pi\) | |||||||
\(308\) | 4.13653e10 | − | 1.50557e10i | 0.261913 | − | 0.0953287i | ||||
\(309\) | −6.52946e10 | − | 2.37653e10i | −0.407440 | − | 0.148296i | ||||
\(310\) | −8.44946e9 | − | 7.08994e9i | −0.0519638 | − | 0.0436028i | ||||
\(311\) | −1.28300e11 | + | 2.22222e11i | −0.777687 | + | 1.34699i | 0.155584 | + | 0.987823i | \(0.450274\pi\) |
−0.933272 | + | 0.359172i | \(0.883059\pi\) | |||||||
\(312\) | 1.30894e10 | + | 2.26716e10i | 0.0782033 | + | 0.135452i | ||||
\(313\) | 2.80369e10 | − | 1.59005e11i | 0.165113 | − | 0.936400i | −0.783836 | − | 0.620968i | \(-0.786740\pi\) |
0.948948 | − | 0.315432i | \(-0.102149\pi\) | |||||||
\(314\) | 4.11770e10 | − | 2.33526e11i | 0.239040 | − | 1.35566i | ||||
\(315\) | −1.51434e10 | − | 2.62292e10i | −0.0866615 | − | 0.150102i | ||||
\(316\) | 5.70710e10 | − | 9.88499e10i | 0.321976 | − | 0.557679i | ||||
\(317\) | −1.57245e11 | − | 1.31944e11i | −0.874600 | − | 0.733877i | 0.0904615 | − | 0.995900i | \(-0.471166\pi\) |
−0.965062 | + | 0.262023i | \(0.915610\pi\) | |||||||
\(318\) | 2.34856e11 | + | 8.54805e10i | 1.28789 | + | 0.468754i | ||||
\(319\) | −2.71442e11 | + | 9.87969e10i | −1.46764 | + | 0.534177i | ||||
\(320\) | 2.54499e10 | − | 2.13550e10i | 0.135679 | − | 0.113848i | ||||
\(321\) | −4.12747e10 | − | 2.34080e11i | −0.216976 | − | 1.23053i | ||||
\(322\) | 4.84004e10 | 0.250898 | ||||||||
\(323\) | 3.21257e9 | + | 7.17823e10i | 0.0164226 | + | 0.366949i | ||||
\(324\) | −1.14819e11 | −0.578844 | ||||||||
\(325\) | 1.42356e10 | + | 8.07338e10i | 0.0707781 | + | 0.401403i | ||||
\(326\) | 1.68540e10 | − | 1.41422e10i | 0.0826464 | − | 0.0693486i | ||||
\(327\) | 8.43949e10 | − | 3.07172e10i | 0.408180 | − | 0.148565i | ||||
\(328\) | −2.82781e10 | − | 1.02924e10i | −0.134902 | − | 0.0491003i | ||||
\(329\) | −7.35102e10 | − | 6.16824e10i | −0.345912 | − | 0.290255i | ||||
\(330\) | −1.05522e11 | + | 1.82770e11i | −0.489814 | + | 0.848382i | ||||
\(331\) | −5.54660e10 | − | 9.60698e10i | −0.253981 | − | 0.439907i | 0.710638 | − | 0.703558i | \(-0.248407\pi\) |
−0.964618 | + | 0.263651i | \(0.915073\pi\) | |||||||
\(332\) | 7.39268e9 | − | 4.19260e10i | 0.0333949 | − | 0.189392i | ||||
\(333\) | 3.61956e8 | − | 2.05276e9i | 0.00161308 | − | 0.00914826i | ||||
\(334\) | 1.24699e11 | + | 2.15984e11i | 0.548280 | + | 0.949649i | ||||
\(335\) | −3.09061e11 | + | 5.35309e11i | −1.34073 | + | 2.32222i | ||||
\(336\) | 3.05132e10 | + | 2.56036e10i | 0.130606 | + | 0.109591i | ||||
\(337\) | −1.58508e11 | − | 5.76921e10i | −0.669447 | − | 0.243659i | −0.0151372 | − | 0.999885i | \(-0.504819\pi\) |
−0.654310 | + | 0.756227i | \(0.727041\pi\) | |||||||
\(338\) | −1.33354e11 | + | 4.85368e10i | −0.555751 | + | 0.202277i | ||||
\(339\) | 2.09584e10 | − | 1.75862e10i | 0.0861904 | − | 0.0723223i | ||||
\(340\) | −1.11348e10 | − | 6.31488e10i | −0.0451886 | − | 0.256277i | ||||
\(341\) | −1.51126e10 | −0.0605265 | ||||||||
\(342\) | 3.47993e10 | + | 4.54279e9i | 0.137548 | + | 0.0179558i | ||||
\(343\) | −2.57537e11 | −1.00465 | ||||||||
\(344\) | −1.34890e10 | − | 7.64999e10i | −0.0519358 | − | 0.294542i | ||||
\(345\) | −1.77757e11 | + | 1.49156e11i | −0.675524 | + | 0.566832i | ||||
\(346\) | 2.77223e11 | − | 1.00901e11i | 1.03989 | − | 0.378488i | ||||
\(347\) | 2.67386e11 | + | 9.73207e10i | 0.990049 | + | 0.360348i | 0.785739 | − | 0.618558i | \(-0.212283\pi\) |
0.204310 | + | 0.978906i | \(0.434505\pi\) | |||||||
\(348\) | −2.00230e11 | − | 1.68013e11i | −0.731852 | − | 0.614097i | ||||
\(349\) | 1.36180e11 | − | 2.35871e11i | 0.491359 | − | 0.851059i | −0.508591 | − | 0.861008i | \(-0.669834\pi\) |
0.999951 | + | 0.00994880i | \(0.00316685\pi\) | |||||||
\(350\) | 6.23674e10 | + | 1.08024e11i | 0.222153 | + | 0.384780i | ||||
\(351\) | −1.75596e10 | + | 9.95856e10i | −0.0617495 | + | 0.350199i | ||||
\(352\) | 7.90439e9 | − | 4.48280e10i | 0.0274427 | − | 0.155635i | ||||
\(353\) | 1.95805e11 | + | 3.39144e11i | 0.671178 | + | 1.16251i | 0.977570 | + | 0.210609i | \(0.0675448\pi\) |
−0.306392 | + | 0.951905i | \(0.599122\pi\) | |||||||
\(354\) | 4.33472e10 | − | 7.50796e10i | 0.146706 | − | 0.254102i | ||||
\(355\) | −2.53408e10 | − | 2.12635e10i | −0.0846823 | − | 0.0710569i | ||||
\(356\) | −3.82466e10 | − | 1.39206e10i | −0.126202 | − | 0.0459339i | ||||
\(357\) | 7.22439e10 | − | 2.62946e10i | 0.235393 | − | 0.0856761i | ||||
\(358\) | 2.50825e11 | − | 2.10468e11i | 0.807045 | − | 0.677192i | ||||
\(359\) | 8.56405e10 | + | 4.85691e11i | 0.272116 | + | 1.54325i | 0.747976 | + | 0.663726i | \(0.231026\pi\) |
−0.475860 | + | 0.879521i | \(0.657863\pi\) | |||||||
\(360\) | −3.13186e10 | −0.0982744 | ||||||||
\(361\) | 3.11874e11 | + | 8.28373e10i | 0.966488 | + | 0.256710i | ||||
\(362\) | 1.98637e11 | 0.607954 | ||||||||
\(363\) | −1.26149e10 | − | 7.15427e10i | −0.0381333 | − | 0.216265i | ||||
\(364\) | 3.23559e10 | − | 2.71499e10i | 0.0966046 | − | 0.0810609i | ||||
\(365\) | 7.95137e11 | − | 2.89406e11i | 2.34490 | − | 0.853473i | ||||
\(366\) | 1.18928e11 | + | 4.32863e10i | 0.346433 | + | 0.126091i | ||||
\(367\) | −2.65507e11 | − | 2.22787e11i | −0.763974 | − | 0.641050i | 0.175184 | − | 0.984536i | \(-0.443948\pi\) |
−0.939158 | + | 0.343485i | \(0.888392\pi\) | |||||||
\(368\) | 2.50246e10 | − | 4.33439e10i | 0.0711299 | − | 0.123201i | ||||
\(369\) | 1.41842e10 | + | 2.45677e10i | 0.0398277 | + | 0.0689836i | ||||
\(370\) | −2.97003e9 | + | 1.68439e10i | −0.00823859 | + | 0.0467233i | ||||
\(371\) | 7.00221e10 | − | 3.97115e11i | 0.191890 | − | 1.08826i | ||||
\(372\) | −6.83745e9 | − | 1.18428e10i | −0.0185119 | − | 0.0320636i | ||||
\(373\) | −2.15865e11 | + | 3.73890e11i | −0.577422 | + | 1.00012i | 0.418352 | + | 0.908285i | \(0.362608\pi\) |
−0.995774 | + | 0.0918390i | \(0.970725\pi\) | |||||||
\(374\) | −6.73028e10 | − | 5.64737e10i | −0.177873 | − | 0.149253i | ||||
\(375\) | −4.28688e9 | − | 1.56030e9i | −0.0111944 | − | 0.00407443i | ||||
\(376\) | −9.32454e10 | + | 3.39385e10i | −0.240592 | + | 0.0875685i | ||||
\(377\) | −2.12322e11 | + | 1.78160e11i | −0.541327 | + | 0.454227i | ||||
\(378\) | 2.67177e10 | + | 1.51524e11i | 0.0673110 | + | 0.381739i | ||||
\(379\) | 5.74229e11 | 1.42958 | 0.714790 | − | 0.699339i | \(-0.246522\pi\) | ||||
0.714790 | + | 0.699339i | \(0.246522\pi\) | |||||||
\(380\) | −2.85545e11 | − | 3.72758e10i | −0.702504 | − | 0.0917066i | ||||
\(381\) | −7.63489e11 | −1.85627 | ||||||||
\(382\) | 5.69782e10 | + | 3.23140e11i | 0.136906 | + | 0.776435i | ||||
\(383\) | 2.59236e11 | − | 2.17525e11i | 0.615603 | − | 0.516552i | −0.280815 | − | 0.959762i | \(-0.590605\pi\) |
0.896418 | + | 0.443210i | \(0.146160\pi\) | |||||||
\(384\) | 3.87051e10 | − | 1.40875e10i | 0.0908401 | − | 0.0330631i | ||||
\(385\) | 3.19970e11 | + | 1.16459e11i | 0.742225 | + | 0.270148i | ||||
\(386\) | −3.16847e11 | − | 2.65866e11i | −0.726452 | − | 0.609565i | ||||
\(387\) | −3.66141e10 | + | 6.34175e10i | −0.0829753 | + | 0.143717i | ||||
\(388\) | 1.84574e11 | + | 3.19691e11i | 0.413454 | + | 0.716124i | ||||
\(389\) | 7.82837e8 | − | 4.43969e9i | 0.00173340 | − | 0.00983058i | −0.983929 | − | 0.178561i | \(-0.942856\pi\) |
0.985662 | + | 0.168731i | \(0.0539668\pi\) | |||||||
\(390\) | −3.51637e10 | + | 1.99423e11i | −0.0769668 | + | 0.436500i | ||||
\(391\) | −4.83001e10 | − | 8.36583e10i | −0.104509 | − | 0.181015i | ||||
\(392\) | −5.05110e10 | + | 8.74876e10i | −0.108044 | + | 0.187137i | ||||
\(393\) | 1.94566e11 | + | 1.63260e11i | 0.411435 | + | 0.345235i | ||||
\(394\) | −6.19722e11 | − | 2.25560e11i | −1.29558 | − | 0.471552i | ||||
\(395\) | 8.29668e11 | − | 3.01975e11i | 1.71482 | − | 0.624142i | ||||
\(396\) | −3.28716e10 | + | 2.75825e10i | −0.0671727 | + | 0.0563645i | ||||
\(397\) | 5.78600e10 | + | 3.28140e11i | 0.116902 | + | 0.662983i | 0.985791 | + | 0.167976i | \(0.0537232\pi\) |
−0.868889 | + | 0.495006i | \(0.835166\pi\) | |||||||
\(398\) | 6.59329e11 | 1.31713 | ||||||||
\(399\) | −1.54364e10 | − | 3.44914e11i | −0.0304907 | − | 0.681292i | ||||
\(400\) | 1.28984e11 | 0.251922 | ||||||||
\(401\) | 1.00513e11 | + | 5.70040e11i | 0.194122 | + | 1.10092i | 0.913664 | + | 0.406471i | \(0.133241\pi\) |
−0.719542 | + | 0.694449i | \(0.755648\pi\) | |||||||
\(402\) | −5.87053e11 | + | 4.92596e11i | −1.12114 | + | 0.940749i | ||||
\(403\) | −1.36262e10 | + | 4.95954e9i | −0.0257338 | + | 0.00936632i | ||||
\(404\) | 2.58789e10 | + | 9.41914e9i | 0.0483314 | + | 0.0175912i | ||||
\(405\) | −6.80364e11 | − | 5.70893e11i | −1.25659 | − | 1.05440i | ||||
\(406\) | −2.10861e11 | + | 3.65221e11i | −0.385148 | + | 0.667097i | ||||
\(407\) | 1.17172e10 | + | 2.02949e10i | 0.0211666 | + | 0.0366616i | ||||
\(408\) | 1.38049e10 | − | 7.82915e10i | 0.0246640 | − | 0.139876i | ||||
\(409\) | −2.03932e10 | + | 1.15655e11i | −0.0360354 | + | 0.204367i | −0.997510 | − | 0.0705273i | \(-0.977532\pi\) |
0.961474 | + | 0.274894i | \(0.0886429\pi\) | |||||||
\(410\) | −1.16388e11 | − | 2.01590e11i | −0.203414 | − | 0.352323i | ||||
\(411\) | −5.45544e10 | + | 9.44909e10i | −0.0943064 | + | 0.163344i | ||||
\(412\) | 8.88061e10 | + | 7.45172e10i | 0.151847 | + | 0.127415i | ||||
\(413\) | −1.31440e11 | − | 4.78401e10i | −0.222306 | − | 0.0809128i | ||||
\(414\) | −4.43355e10 | + | 1.61368e10i | −0.0741738 | + | 0.0269970i | ||||
\(415\) | 2.52266e11 | − | 2.11676e11i | 0.417487 | − | 0.350313i | ||||
\(416\) | −7.58435e9 | − | 4.30130e10i | −0.0124165 | − | 0.0704173i | ||||
\(417\) | −4.71223e10 | −0.0763158 | ||||||||
\(418\) | −3.32534e11 | + | 2.12358e11i | −0.532774 | + | 0.340232i | ||||
\(419\) | −6.35388e10 | −0.100711 | −0.0503554 | − | 0.998731i | \(-0.516035\pi\) | ||||
−0.0503554 | + | 0.998731i | \(0.516035\pi\) | |||||||
\(420\) | 5.35029e10 | + | 3.03430e11i | 0.0838988 | + | 0.475814i | ||||
\(421\) | −2.38154e11 | + | 1.99835e11i | −0.369478 | + | 0.310029i | −0.808555 | − | 0.588420i | \(-0.799750\pi\) |
0.439077 | + | 0.898449i | \(0.355306\pi\) | |||||||
\(422\) | −5.29379e11 | + | 1.92678e11i | −0.812570 | + | 0.295751i | ||||
\(423\) | 8.79015e10 | + | 3.19935e10i | 0.133495 | + | 0.0485881i | ||||
\(424\) | −3.19423e11 | − | 2.68028e11i | −0.479977 | − | 0.402749i | ||||
\(425\) | 1.24476e11 | − | 2.15599e11i | 0.185070 | − | 0.320551i | ||||
\(426\) | −2.05062e10 | − | 3.55178e10i | −0.0301677 | − | 0.0522520i | ||||
\(427\) | 3.54583e10 | − | 2.01094e11i | 0.0516170 | − | 0.292734i | ||||
\(428\) | −6.88622e10 | + | 3.90537e11i | −0.0991937 | + | 0.562556i | ||||
\(429\) | 1.38726e11 | + | 2.40281e11i | 0.197743 | + | 0.342501i | ||||
\(430\) | 3.00436e11 | − | 5.20371e11i | 0.423784 | − | 0.734015i | ||||
\(431\) | −6.22105e11 | − | 5.22008e11i | −0.868393 | − | 0.728668i | 0.0953662 | − | 0.995442i | \(-0.469598\pi\) |
−0.963759 | + | 0.266774i | \(0.914042\pi\) | |||||||
\(432\) | 1.49507e11 | + | 5.44162e10i | 0.206531 | + | 0.0751712i | ||||
\(433\) | 2.95903e10 | − | 1.07700e10i | 0.0404533 | − | 0.0147238i | −0.321714 | − | 0.946837i | \(-0.604259\pi\) |
0.362168 | + | 0.932113i | \(0.382037\pi\) | |||||||
\(434\) | −1.69016e10 | + | 1.41821e10i | −0.0228678 | + | 0.0191883i | ||||
\(435\) | −3.51091e11 | − | 1.99113e12i | −0.470130 | − | 2.66624i | ||||
\(436\) | −1.49840e11 | −0.198581 | ||||||||
\(437\) | −4.23433e11 | + | 9.43578e10i | −0.555416 | + | 0.123769i | ||||
\(438\) | 1.04907e12 | 1.36198 | ||||||||
\(439\) | −1.59023e11 | − | 9.01865e11i | −0.204348 | − | 1.15891i | −0.898463 | − | 0.439050i | \(-0.855315\pi\) |
0.694115 | − | 0.719864i | \(-0.255796\pi\) | |||||||
\(440\) | 2.69727e11 | − | 2.26328e11i | 0.343074 | − | 0.287873i | ||||
\(441\) | 8.94892e10 | − | 3.25714e10i | 0.112667 | − | 0.0410075i | ||||
\(442\) | −7.92164e10 | − | 2.88324e10i | −0.0987222 | − | 0.0359319i | ||||
\(443\) | 1.68458e11 | + | 1.41353e11i | 0.207815 | + | 0.174377i | 0.740754 | − | 0.671776i | \(-0.234468\pi\) |
−0.532940 | + | 0.846153i | \(0.678913\pi\) | |||||||
\(444\) | −1.06025e10 | + | 1.83641e10i | −0.0129475 | + | 0.0224257i | ||||
\(445\) | −1.57416e11 | − | 2.72653e11i | −0.190296 | − | 0.329603i | ||||
\(446\) | 9.84753e10 | − | 5.58481e11i | 0.117848 | − | 0.668347i | ||||
\(447\) | −4.81102e10 | + | 2.72847e11i | −0.0569972 | + | 0.323247i | ||||
\(448\) | −3.32278e10 | − | 5.75523e10i | −0.0389718 | − | 0.0675012i | ||||
\(449\) | −6.64556e11 | + | 1.15104e12i | −0.771655 | + | 1.33655i | 0.165001 | + | 0.986293i | \(0.447237\pi\) |
−0.936656 | + | 0.350252i | \(0.886096\pi\) | |||||||
\(450\) | −9.31448e10 | − | 7.81577e10i | −0.107078 | − | 0.0898495i | ||||
\(451\) | −2.99701e11 | − | 1.09082e11i | −0.341110 | − | 0.124154i | ||||
\(452\) | −4.28930e10 | + | 1.56118e10i | −0.0483352 | + | 0.0175926i | ||||
\(453\) | 7.10853e11 | − | 5.96477e11i | 0.793118 | − | 0.665505i | ||||
\(454\) | −1.58169e11 | − | 8.97022e11i | −0.174731 | − | 0.990950i | ||||
\(455\) | 3.26718e11 | 0.357373 | ||||||||
\(456\) | −3.16861e11 | − | 1.64508e11i | −0.343184 | − | 0.178175i | ||||
\(457\) | −1.40230e12 | −1.50390 | −0.751950 | − | 0.659221i | \(-0.770886\pi\) | ||||
−0.751950 | + | 0.659221i | \(0.770886\pi\) | |||||||
\(458\) | −3.66592e10 | − | 2.07905e11i | −0.0389303 | − | 0.220785i | ||||
\(459\) | 2.35240e11 | − | 1.97390e11i | 0.247374 | − | 0.207572i | ||||
\(460\) | 3.63795e11 | − | 1.32410e11i | 0.378831 | − | 0.137883i | ||||
\(461\) | −4.51797e11 | − | 1.64441e11i | −0.465896 | − | 0.169572i | 0.0983961 | − | 0.995147i | \(-0.468629\pi\) |
−0.564293 | + | 0.825575i | \(0.690851\pi\) | |||||||
\(462\) | 3.23390e11 | + | 2.71356e11i | 0.330246 | + | 0.277109i | ||||
\(463\) | 2.45909e11 | − | 4.25926e11i | 0.248691 | − | 0.430745i | −0.714472 | − | 0.699664i | \(-0.753333\pi\) |
0.963163 | + | 0.268919i | \(0.0866664\pi\) | |||||||
\(464\) | 2.18044e11 | + | 3.77663e11i | 0.218380 | + | 0.378245i | ||||
\(465\) | 1.83682e10 | − | 1.04171e11i | 0.0182192 | − | 0.103326i | ||||
\(466\) | −1.28817e11 | + | 7.30559e11i | −0.126543 | + | 0.717659i | ||||
\(467\) | 8.88321e11 | + | 1.53862e12i | 0.864259 | + | 1.49694i | 0.867781 | + | 0.496947i | \(0.165546\pi\) |
−0.00352188 | + | 0.999994i | \(0.501121\pi\) | |||||||
\(468\) | −2.05867e10 | + | 3.56572e10i | −0.0198372 | + | 0.0343591i | ||||
\(469\) | 9.47168e11 | + | 7.94768e11i | 0.903960 | + | 0.758512i | ||||
\(470\) | −7.21274e11 | − | 2.62522e11i | −0.681805 | − | 0.248157i | ||||
\(471\) | 2.13694e12 | − | 7.77783e11i | 2.00078 | − | 0.728223i | ||||
\(472\) | −1.10801e11 | + | 9.29729e10i | −0.102755 | + | 0.0862219i | ||||
\(473\) | −1.42961e11 | − | 8.10773e11i | −0.131324 | − | 0.744773i | ||||
\(474\) | 1.09463e12 | 0.996014 | ||||||||
\(475\) | −7.56218e11 | − | 8.23461e11i | −0.681594 | − | 0.742202i | ||||
\(476\) | −1.28266e11 | −0.114520 | ||||||||
\(477\) | 6.82577e10 | + | 3.87109e11i | 0.0603697 | + | 0.342374i | ||||
\(478\) | −6.12253e11 | + | 5.13742e11i | −0.536421 | + | 0.450110i | ||||
\(479\) | 6.80952e11 | − | 2.47846e11i | 0.591026 | − | 0.215116i | −0.0291545 | − | 0.999575i | \(-0.509281\pi\) |
0.620181 | + | 0.784459i | \(0.287059\pi\) | |||||||
\(480\) | 2.99393e11 | + | 1.08970e11i | 0.257428 | + | 0.0936961i | ||||
\(481\) | 1.72250e10 | + | 1.44535e10i | 0.0146726 | + | 0.0123118i | ||||
\(482\) | −4.34406e11 | + | 7.52414e11i | −0.366593 | + | 0.634958i | ||||
\(483\) | 2.32082e11 | + | 4.01978e11i | 0.194035 | + | 0.336078i | ||||
\(484\) | −2.10466e10 | + | 1.19361e11i | −0.0174332 | + | 0.0988686i | ||||
\(485\) | −4.95842e11 | + | 2.81206e12i | −0.406917 | + | 2.30774i | ||||
\(486\) | −1.68286e11 | − | 2.91480e11i | −0.136831 | − | 0.236998i | ||||
\(487\) | −9.31386e11 | + | 1.61321e12i | −0.750325 | + | 1.29960i | 0.197340 | + | 0.980335i | \(0.436770\pi\) |
−0.947665 | + | 0.319266i | \(0.896564\pi\) | |||||||
\(488\) | −1.61752e11 | − | 1.35726e11i | −0.129110 | − | 0.108336i | ||||
\(489\) | 1.98270e11 | + | 7.21645e10i | 0.156808 | + | 0.0570734i | ||||
\(490\) | −7.34302e11 | + | 2.67264e11i | −0.575430 | + | 0.209439i | ||||
\(491\) | 6.83165e11 | − | 5.73244e11i | 0.530468 | − | 0.445115i | −0.337795 | − | 0.941220i | \(-0.609681\pi\) |
0.868263 | + | 0.496104i | \(0.165237\pi\) | |||||||
\(492\) | −5.01138e10 | − | 2.84210e11i | −0.0385580 | − | 0.218673i | ||||
\(493\) | 8.41694e11 | 0.641716 | ||||||||
\(494\) | −2.30138e11 | + | 3.00600e11i | −0.173867 | + | 0.227100i | ||||
\(495\) | −3.31925e11 | −0.248494 | ||||||||
\(496\) | 3.96179e9 | + | 2.24685e10i | 0.00293917 | + | 0.0166689i | ||||
\(497\) | −5.06896e10 | + | 4.25336e10i | −0.0372662 | + | 0.0312701i | ||||
\(498\) | 3.83654e11 | − | 1.39639e11i | 0.279517 | − | 0.101736i | ||||
\(499\) | 1.17072e11 | + | 4.26106e10i | 0.0845277 | + | 0.0307656i | 0.383938 | − | 0.923359i | \(-0.374568\pi\) |
−0.299410 | + | 0.954124i | \(0.596790\pi\) | |||||||
\(500\) | 5.83052e9 | + | 4.89238e9i | 0.00417198 | + | 0.00350070i | ||||
\(501\) | −1.19587e12 | + | 2.07131e12i | −0.848036 | + | 1.46884i | ||||
\(502\) | 2.30681e11 | + | 3.99551e11i | 0.162123 | + | 0.280805i | ||||
\(503\) | −6.35847e9 | + | 3.60607e10i | −0.00442891 | + | 0.0251176i | −0.986942 | − | 0.161075i | \(-0.948504\pi\) |
0.982513 | + | 0.186193i | \(0.0596149\pi\) | |||||||
\(504\) | −1.08785e10 | + | 6.16953e10i | −0.00750989 | + | 0.0425907i | ||||
\(505\) | 1.06513e11 | + | 1.84486e11i | 0.0728772 | + | 0.126227i | ||||
\(506\) | 2.65220e11 | − | 4.59374e11i | 0.179857 | − | 0.311522i | ||||
\(507\) | −1.04255e12 | − | 8.74802e11i | −0.700746 | − | 0.587995i | ||||
\(508\) | 1.19698e12 | + | 4.35664e11i | 0.797443 | + | 0.290245i | ||||
\(509\) | 1.58263e12 | − | 5.76030e11i | 1.04508 | − | 0.380378i | 0.238276 | − | 0.971198i | \(-0.423418\pi\) |
0.806804 | + | 0.590820i | \(0.201196\pi\) | |||||||
\(510\) | 4.71075e11 | − | 3.95279e11i | 0.308336 | − | 0.258725i | ||||
\(511\) | −2.93917e11 | − | 1.66689e12i | −0.190691 | − | 1.08146i | ||||
\(512\) | −6.87195e10 | −0.0441942 | ||||||||
\(513\) | −5.29139e11 | − | 1.27352e12i | −0.337320 | − | 0.811855i | ||||
\(514\) | −6.33537e11 | −0.400348 | ||||||||
\(515\) | 1.55716e11 | + | 8.83107e11i | 0.0975438 | + | 0.553198i | ||||
\(516\) | 5.70671e11 | − | 4.78850e11i | 0.354374 | − | 0.297355i | ||||
\(517\) | −9.88247e11 | + | 3.59693e11i | −0.608356 | + | 0.221424i | ||||
\(518\) | 3.21495e10 | + | 1.17015e10i | 0.0196196 | + | 0.00714096i | ||||
\(519\) | 2.16730e12 | + | 1.81858e12i | 1.31119 | + | 1.10022i | ||||
\(520\) | 1.68924e11 | − | 2.92585e11i | 0.101316 | − | 0.175484i | ||||
\(521\) | −1.16401e12 | − | 2.01612e12i | −0.692127 | − | 1.19880i | −0.971140 | − | 0.238512i | \(-0.923340\pi\) |
0.279012 | − | 0.960287i | \(-0.409993\pi\) | |||||||
\(522\) | 7.13859e10 | − | 4.04850e11i | 0.0420819 | − | 0.238658i | ||||
\(523\) | −4.20848e11 | + | 2.38675e12i | −0.245962 | + | 1.39492i | 0.572286 | + | 0.820054i | \(0.306057\pi\) |
−0.818248 | + | 0.574865i | \(0.805055\pi\) | |||||||
\(524\) | −2.11876e11 | − | 3.66979e11i | −0.122769 | − | 0.212643i | ||||
\(525\) | −5.98109e11 | + | 1.03595e12i | −0.343608 | + | 0.595147i | ||||
\(526\) | 3.24620e11 | + | 2.72389e11i | 0.184901 | + | 0.155151i | ||||
\(527\) | 4.13798e10 | + | 1.50610e10i | 0.0233690 | + | 0.00850563i | ||||
\(528\) | 4.10210e11 | − | 1.49304e11i | 0.229696 | − | 0.0836026i | ||||
\(529\) | −9.32988e11 | + | 7.82870e11i | −0.517995 | + | 0.434649i | ||||
\(530\) | −5.60088e11 | − | 3.17642e12i | −0.308329 | − | 1.74862i | ||||
\(531\) | 1.36351e11 | 0.0744273 | ||||||||
\(532\) | −1.72615e11 | + | 5.49556e11i | −0.0934279 | + | 0.297447i | ||||
\(533\) | −3.06022e11 | −0.164241 | ||||||||
\(534\) | −6.77797e10 | − | 3.84398e11i | −0.0360715 | − | 0.204572i | ||||
\(535\) | −2.34984e12 | + | 1.97175e12i | −1.24007 | + | 1.04054i | ||||
\(536\) | 1.20145e12 | − | 4.37293e11i | 0.628731 | − | 0.228840i | ||||
\(537\) | 2.95071e12 | + | 1.07397e12i | 1.53123 | + | 0.557324i | ||||
\(538\) | 1.18342e12 | + | 9.93005e11i | 0.609000 | + | 0.511012i | ||||
\(539\) | −5.35333e11 | + | 9.27225e11i | −0.273196 | + | 0.473190i | ||||
\(540\) | 6.15347e11 | + | 1.06581e12i | 0.311421 | + | 0.539397i | ||||
\(541\) | 2.90876e11 | − | 1.64964e12i | 0.145989 | − | 0.827945i | −0.820579 | − | 0.571534i | \(-0.806349\pi\) |
0.966568 | − | 0.256412i | \(-0.0825403\pi\) | |||||||
\(542\) | 2.93759e11 | − | 1.66599e12i | 0.146216 | − | 0.829232i | ||||
\(543\) | 9.52471e11 | + | 1.64973e12i | 0.470167 | + | 0.814354i | ||||
\(544\) | −6.63179e10 | + | 1.14866e11i | −0.0324665 | + | 0.0562337i | ||||
\(545\) | −8.87881e11 | − | 7.45021e11i | −0.431093 | − | 0.361730i | ||||
\(546\) | 3.80635e11 | + | 1.38540e11i | 0.183291 | + | 0.0667125i | ||||
\(547\) | −2.81293e12 | + | 1.02382e12i | −1.34343 | + | 0.488970i | −0.910892 | − | 0.412644i | \(-0.864605\pi\) |
−0.432541 | + | 0.901614i | \(0.642383\pi\) | |||||||
\(548\) | 1.39448e11 | − | 1.17010e11i | 0.0660539 | − | 0.0554258i | ||||
\(549\) | 3.45649e10 | + | 1.96027e11i | 0.0162390 | + | 0.0920959i | ||||
\(550\) | 1.36702e12 | 0.637004 | ||||||||
\(551\) | 1.13271e12 | − | 3.60623e12i | 0.523526 | − | 1.66675i | ||||
\(552\) | 4.79976e11 | 0.220036 | ||||||||
\(553\) | −3.06682e11 | − | 1.73928e12i | −0.139452 | − | 0.790871i | ||||
\(554\) | −9.47107e11 | + | 7.94717e11i | −0.427174 | + | 0.358442i | ||||
\(555\) | −1.54134e11 | + | 5.61002e10i | −0.0689573 | + | 0.0250984i | ||||
\(556\) | 7.38771e10 | + | 2.68891e10i | 0.0327849 | + | 0.0119327i | ||||
\(557\) | 1.26552e12 | + | 1.06190e12i | 0.557084 | + | 0.467449i | 0.877331 | − | 0.479885i | \(-0.159322\pi\) |
−0.320247 | + | 0.947334i | \(0.603766\pi\) | |||||||
\(558\) | 1.07538e10 | − | 1.86261e10i | 0.00469577 | − | 0.00813331i | ||||
\(559\) | −3.94973e11 | − | 6.84114e11i | −0.171086 | − | 0.296330i | ||||
\(560\) | 8.92637e10 | − | 5.06240e11i | 0.0383556 | − | 0.217525i | ||||
\(561\) | 1.46309e11 | − | 8.29761e11i | 0.0623647 | − | 0.353688i | ||||
\(562\) | 6.80672e11 | + | 1.17896e12i | 0.287822 | + | 0.498523i | ||||
\(563\) | 1.80915e12 | − | 3.13353e12i | 0.758903 | − | 1.31446i | −0.184508 | − | 0.982831i | \(-0.559069\pi\) |
0.943411 | − | 0.331627i | \(-0.107597\pi\) | |||||||
\(564\) | −7.28984e11 | − | 6.11690e11i | −0.303363 | − | 0.254551i | ||||
\(565\) | −3.31787e11 | − | 1.20761e11i | −0.136975 | − | 0.0498549i | ||||
\(566\) | 1.17322e12 | − | 4.27018e11i | 0.480515 | − | 0.174893i | ||||
\(567\) | −1.36094e12 | + | 1.14197e12i | −0.552989 | + | 0.464013i | ||||
\(568\) | 1.18818e10 | + | 6.73852e10i | 0.00478978 | + | 0.0271642i | ||||
\(569\) | 2.58483e12 | 1.03378 | 0.516888 | − | 0.856053i | \(-0.327090\pi\) | ||||
0.516888 | + | 0.856053i | \(0.327090\pi\) | |||||||
\(570\) | −1.05962e12 | − | 2.55027e12i | −0.420448 | − | 1.01193i | ||||
\(571\) | −3.57888e12 | −1.40892 | −0.704458 | − | 0.709746i | \(-0.748810\pi\) | ||||
−0.704458 | + | 0.709746i | \(0.748810\pi\) | |||||||
\(572\) | −8.03816e10 | − | 4.55867e11i | −0.0313960 | − | 0.178056i | ||||
\(573\) | −2.41054e12 | + | 2.02269e12i | −0.934156 | + | 0.783850i | ||||
\(574\) | −4.37545e11 | + | 1.59253e11i | −0.168236 | + | 0.0612329i | ||||
\(575\) | 1.41240e12 | + | 5.14073e11i | 0.538832 | + | 0.196119i | ||||
\(576\) | 4.96252e10 | + | 4.16405e10i | 0.0187846 | + | 0.0157621i | ||||
\(577\) | −5.74912e11 | + | 9.95777e11i | −0.215929 | + | 0.374000i | −0.953559 | − | 0.301205i | \(-0.902611\pi\) |
0.737631 | + | 0.675204i | \(0.235945\pi\) | |||||||
\(578\) | −8.20703e11 | − | 1.42150e12i | −0.305851 | − | 0.529750i | ||||
\(579\) | 6.88792e11 | − | 3.90634e12i | 0.254703 | − | 1.44449i | ||||
\(580\) | −5.85756e11 | + | 3.32199e12i | −0.214927 | + | 1.21891i | ||||
\(581\) | −3.29362e11 | − | 5.70472e11i | −0.119917 | − | 0.207703i | ||||
\(582\) | −1.77008e12 | + | 3.06587e12i | −0.639498 | + | 1.10764i | ||||
\(583\) | −3.38536e12 | − | 2.84066e12i | −1.21366 | − | 1.01838i | ||||
\(584\) | −1.64471e12 | − | 5.98625e11i | −0.585101 | − | 0.212959i | ||||
\(585\) | −2.99279e11 | + | 1.08929e11i | −0.105651 | + | 0.0384539i | ||||
\(586\) | −9.64833e11 | + | 8.09591e11i | −0.337997 | + | 0.283613i | ||||
\(587\) | 6.61721e9 | + | 3.75280e10i | 0.00230040 | + | 0.0130462i | 0.985936 | − | 0.167121i | \(-0.0534471\pi\) |
−0.983636 | + | 0.180167i | \(0.942336\pi\) | |||||||
\(588\) | −9.68810e11 | −0.334226 | ||||||||
\(589\) | 1.20216e11 | − | 1.57023e11i | 0.0411569 | − | 0.0537581i | ||||
\(590\) | −1.11882e12 | −0.380126 | ||||||||
\(591\) | −1.09826e12 | − | 6.22852e12i | −0.370305 | − | 2.10011i | ||||
\(592\) | 2.71014e10 | − | 2.27407e10i | 0.00906867 | − | 0.00760951i | ||||
\(593\) | 3.76087e12 | − | 1.36884e12i | 1.24894 | − | 0.454577i | 0.368898 | − | 0.929470i | \(-0.379735\pi\) |
0.880044 | + | 0.474893i | \(0.157513\pi\) | |||||||
\(594\) | 1.58453e12 | + | 5.76722e11i | 0.522230 | + | 0.190076i | ||||
\(595\) | −7.60046e11 | − | 6.37754e11i | −0.248607 | − | 0.208606i | ||||
\(596\) | 2.31118e11 | − | 4.00309e11i | 0.0750285 | − | 0.129953i | ||||
\(597\) | 3.16151e12 | + | 5.47590e12i | 1.01861 | + | 1.76429i | ||||
\(598\) | 8.83804e10 | − | 5.01230e11i | 0.0282618 | − | 0.160281i | ||||
\(599\) | −5.54134e11 | + | 3.14265e12i | −0.175871 | + | 0.997414i | 0.761263 | + | 0.648444i | \(0.224580\pi\) |
−0.937134 | + | 0.348970i | \(0.886531\pi\) | |||||||
\(600\) | 6.18484e11 | + | 1.07125e12i | 0.194826 | + | 0.337449i | ||||
\(601\) | 1.32168e12 | − | 2.28922e12i | 0.413229 | − | 0.715734i | −0.582011 | − | 0.813181i | \(-0.697734\pi\) |
0.995241 | + | 0.0974463i | \(0.0310674\pi\) | |||||||
\(602\) | −9.20736e11 | − | 7.72590e11i | −0.285727 | − | 0.239753i | ||||
\(603\) | −1.13260e12 | − | 4.12232e11i | −0.348857 | − | 0.126974i | ||||
\(604\) | −1.45482e12 | + | 5.29511e11i | −0.444778 | + | 0.161886i | ||||
\(605\) | −7.18188e11 | + | 6.02631e11i | −0.217941 | + | 0.182874i | ||||
\(606\) | 4.58619e10 | + | 2.60096e11i | 0.0138142 | + | 0.0783442i | ||||
\(607\) | 4.50126e12 | 1.34581 | 0.672907 | − | 0.739727i | \(-0.265045\pi\) | ||||
0.672907 | + | 0.739727i | \(0.265045\pi\) | |||||||
\(608\) | 4.02894e11 | + | 4.38720e11i | 0.119571 | + | 0.130203i | ||||
\(609\) | −4.04434e12 | −1.19143 | ||||||||
\(610\) | −2.83621e11 | − | 1.60850e12i | −0.0829382 | − | 0.470366i | ||||
\(611\) | −7.73008e11 | + | 6.48630e11i | −0.224387 | + | 0.188283i | ||||
\(612\) | 1.17494e11 | − | 4.27643e10i | 0.0338559 | − | 0.0123225i | ||||
\(613\) | 2.37694e11 | + | 8.65136e10i | 0.0679902 | + | 0.0247464i | 0.375791 | − | 0.926704i | \(-0.377371\pi\) |
−0.307801 | + | 0.951451i | \(0.599593\pi\) | |||||||
\(614\) | −4.57627e11 | − | 3.83994e11i | −0.129943 | − | 0.109035i | ||||
\(615\) | 1.11617e12 | − | 1.93326e12i | 0.314624 | − | 0.544945i | ||||
\(616\) | −3.52160e11 | − | 6.09959e11i | −0.0985432 | − | 0.170682i | ||||
\(617\) | 8.50397e11 | − | 4.82284e12i | 0.236232 | − | 1.33974i | −0.603772 | − | 0.797157i | \(-0.706336\pi\) |
0.840004 | − | 0.542580i | \(-0.182553\pi\) | |||||||
\(618\) | −1.93055e11 | + | 1.09487e12i | −0.0532395 | + | 0.301936i | ||||
\(619\) | 2.90881e12 | + | 5.03820e12i | 0.796356 | + | 1.37933i | 0.921975 | + | 0.387250i | \(0.126575\pi\) |
−0.125619 | + | 0.992079i | \(0.540092\pi\) | |||||||
\(620\) | −8.82399e10 | + | 1.52836e11i | −0.0239829 | + | 0.0415397i | ||||
\(621\) | 1.42026e12 | + | 1.19174e12i | 0.383227 | + | 0.321566i | ||||
\(622\) | 3.85800e12 | + | 1.40420e12i | 1.03349 | + | 0.376159i | ||||
\(623\) | −5.91786e11 | + | 2.15393e11i | −0.157387 | + | 0.0572841i | ||||
\(624\) | 3.20867e11 | − | 2.69239e11i | 0.0847216 | − | 0.0710898i | ||||
\(625\) | −6.57284e11 | − | 3.72764e12i | −0.172303 | − | 0.977179i | ||||
\(626\) | −2.58333e12 | −0.672350 | ||||||||
\(627\) | −3.35820e12 | − | 1.74352e12i | −0.867767 | − | 0.450528i | ||||
\(628\) | −3.79406e12 | −0.973388 | ||||||||
\(629\) | −1.18574e10 | − | 6.72465e10i | −0.00302037 | − | 0.0171294i | ||||
\(630\) | −3.71217e11 | + | 3.11488e11i | −0.0938848 | + | 0.0787787i | ||||
\(631\) | 3.25565e12 | − | 1.18496e12i | 0.817533 | − | 0.297558i | 0.100801 | − | 0.994907i | \(-0.467859\pi\) |
0.716732 | + | 0.697349i | \(0.245637\pi\) | |||||||
\(632\) | −1.71613e12 | − | 6.24622e11i | −0.427882 | − | 0.155736i | ||||
\(633\) | −4.13864e12 | − | 3.47273e12i | −1.02457 | − | 0.859714i | ||||
\(634\) | −1.64215e12 | + | 2.84428e12i | −0.403655 | + | 0.699151i | ||||
\(635\) | 4.92656e12 | + | 8.53305e12i | 1.20244 | + | 2.08268i | ||||
\(636\) | 6.94393e11 | − | 3.93810e12i | 0.168286 | − | 0.954399i | ||||
\(637\) | −1.78392e11 | + | 1.01171e12i | −0.0429286 | + | 0.243460i | ||||
\(638\) | 2.31090e12 | + | 4.00260e12i | 0.552190 | + | 0.956421i | ||||
\(639\) | 3.22517e10 | − | 5.58615e10i | 0.00765241 | − | 0.0132544i | ||||
\(640\) | −4.07199e11 | − | 3.41681e11i | −0.0959394 | − | 0.0805027i | ||||
\(641\) | 3.37258e12 | + | 1.22752e12i | 0.789043 | + | 0.287188i | 0.704938 | − | 0.709269i | \(-0.250975\pi\) |
0.0841049 | + | 0.996457i | \(0.473197\pi\) | |||||||
\(642\) | −3.57371e12 | + | 1.30072e12i | −0.830255 | + | 0.302188i | ||||
\(643\) | −3.80664e12 | + | 3.19415e12i | −0.878198 | + | 0.736896i | −0.965808 | − | 0.259259i | \(-0.916522\pi\) |
0.0876096 | + | 0.996155i | \(0.472077\pi\) | |||||||
\(644\) | −1.34474e11 | − | 7.62642e11i | −0.0308073 | − | 0.174717i | ||||
\(645\) | 5.76242e12 | 1.31095 | ||||||||
\(646\) | 1.12214e12 | − | 2.50058e11i | 0.253514 | − | 0.0564930i | ||||
\(647\) | 2.96000e12 | 0.664083 | 0.332042 | − | 0.943265i | \(-0.392263\pi\) | ||||
0.332042 | + | 0.943265i | \(0.392263\pi\) | |||||||
\(648\) | 3.19010e11 | + | 1.80920e12i | 0.0710750 | + | 0.403086i | ||||
\(649\) | −1.17431e12 | + | 9.85359e11i | −0.259824 | + | 0.218019i | ||||
\(650\) | 1.23257e12 | − | 4.48617e11i | 0.270832 | − | 0.0985747i | ||||
\(651\) | −1.98830e11 | − | 7.23682e10i | −0.0433878 | − | 0.0157919i | ||||
\(652\) | −2.69664e11 | − | 2.26275e11i | −0.0584399 | − | 0.0490369i | ||||
\(653\) | −1.62227e12 | + | 2.80985e12i | −0.349151 | + | 0.604748i | −0.986099 | − | 0.166159i | \(-0.946863\pi\) |
0.636948 | + | 0.770907i | \(0.280197\pi\) | |||||||
\(654\) | −7.18489e11 | − | 1.24446e12i | −0.153575 | − | 0.266000i | ||||
\(655\) | 5.69186e11 | − | 3.22801e12i | 0.120828 | − | 0.685251i | ||||
\(656\) | −8.36094e10 | + | 4.74172e11i | −0.0176274 | + | 0.0999698i | ||||
\(657\) | 8.24977e11 | + | 1.42890e12i | 0.172742 | + | 0.299198i | ||||
\(658\) | −7.67686e11 | + | 1.32967e12i | −0.159649 | + | 0.276521i | ||||
\(659\) | 1.04271e12 | + | 8.74934e11i | 0.215366 | + | 0.180714i | 0.744088 | − | 0.668081i | \(-0.232884\pi\) |
−0.528722 | + | 0.848795i | \(0.677329\pi\) | |||||||
\(660\) | 3.17307e12 | + | 1.15490e12i | 0.650926 | + | 0.236918i | ||||
\(661\) | 1.95956e11 | − | 7.13223e10i | 0.0399257 | − | 0.0145318i | −0.321980 | − | 0.946746i | \(-0.604348\pi\) |
0.361906 | + | 0.932215i | \(0.382126\pi\) | |||||||
\(662\) | −1.35966e12 | + | 1.14089e12i | −0.275150 | + | 0.230878i | ||||
\(663\) | −1.40385e11 | − | 7.96165e11i | −0.0282170 | − | 0.160027i | ||||
\(664\) | −6.81164e11 | −0.135986 | ||||||||
\(665\) | −3.75529e12 | + | 2.39815e12i | −0.744639 | + | 0.475530i | ||||
\(666\) | −3.33508e10 | −0.00656859 | ||||||||
\(667\) | 8.82432e11 | + | 5.00452e12i | 0.172629 | + | 0.979030i | ||||
\(668\) | 3.05679e12 | − | 2.56495e12i | 0.593980 | − | 0.498408i | ||||
\(669\) | 5.11052e12 | − | 1.86008e12i | 0.986388 | − | 0.359016i | ||||
\(670\) | 9.29351e12 | + | 3.38256e12i | 1.78174 | + | 0.648499i | ||||
\(671\) | −1.71430e12 | − | 1.43847e12i | −0.326465 | − | 0.273937i | ||||
\(672\) | 3.18658e11 | − | 5.51931e11i | 0.0602785 | − | 0.104405i | ||||
\(673\) | −2.72281e12 | − | 4.71605e12i | −0.511623 | − | 0.886156i | −0.999909 | − | 0.0134730i | \(-0.995711\pi\) |
0.488287 | − | 0.872683i | \(-0.337622\pi\) | |||||||
\(674\) | −4.68657e11 | + | 2.65789e12i | −0.0874753 | + | 0.496097i | ||||
\(675\) | −8.29703e11 | + | 4.70548e12i | −0.153835 | + | 0.872443i | ||||
\(676\) | 1.13530e12 | + | 1.96639e12i | 0.209098 | + | 0.362168i | ||||
\(677\) | −2.07982e12 | + | 3.60236e12i | −0.380520 | + | 0.659080i | −0.991137 | − | 0.132846i | \(-0.957588\pi\) |
0.610617 | + | 0.791926i | \(0.290922\pi\) | |||||||
\(678\) | −3.35334e11 | − | 2.81379e11i | −0.0609458 | − | 0.0511396i | ||||
\(679\) | 5.36733e12 | + | 1.95355e12i | 0.969045 | + | 0.352704i | ||||
\(680\) | −9.64095e11 | + | 3.50902e11i | −0.172914 | + | 0.0629355i | ||||
\(681\) | 6.69157e12 | − | 5.61490e12i | 1.19225 | − | 1.00041i | ||||
\(682\) | 4.19885e10 | + | 2.38129e11i | 0.00743191 | + | 0.0421485i | ||||
\(683\) | 4.13847e12 | 0.727690 | 0.363845 | − | 0.931460i | \(-0.381464\pi\) | ||||
0.363845 | + | 0.931460i | \(0.381464\pi\) | |||||||
\(684\) | −2.51050e10 | − | 5.60952e11i | −0.00438539 | − | 0.0979880i | ||||
\(685\) | 1.40809e12 | 0.244356 | ||||||||
\(686\) | 7.15534e11 | + | 4.05799e12i | 0.123359 | + | 0.699605i | ||||
\(687\) | 1.55092e12 | − | 1.30138e12i | 0.265634 | − | 0.222893i | ||||
\(688\) | −1.16793e12 | + | 4.25090e11i | −0.198732 | + | 0.0723324i | ||||
\(689\) | −3.98462e12 | − | 1.45028e12i | −0.673598 | − | 0.245169i | ||||
\(690\) | 2.84411e12 | + | 2.38649e12i | 0.477668 | + | 0.400811i | ||||
\(691\) | 8.16394e11 | − | 1.41404e12i | 0.136222 | − | 0.235944i | −0.789841 | − | 0.613311i | \(-0.789837\pi\) |
0.926064 | + | 0.377367i | \(0.123170\pi\) | |||||||
\(692\) | −2.36012e12 | − | 4.08784e12i | −0.391251 | − | 0.677667i | ||||
\(693\) | −1.15295e11 | + | 6.53868e11i | −0.0189893 | + | 0.107694i | ||||
\(694\) | 7.90576e11 | − | 4.48358e12i | 0.129368 | − | 0.733681i | ||||
\(695\) | 3.04066e11 | + | 5.26657e11i | 0.0494351 | + | 0.0856242i | ||||
\(696\) | −2.09106e12 | + | 3.62182e12i | −0.337773 | + | 0.585039i | ||||
\(697\) | 7.11901e11 | + | 5.97356e11i | 0.114254 | + | 0.0958707i | ||||
\(698\) | −4.09496e12 | − | 1.49044e12i | −0.652980 | − | 0.237665i | ||||
\(699\) | −6.68516e12 | + | 2.43320e12i | −1.05917 | + | 0.385505i | ||||
\(700\) | 1.52884e12 | − | 1.28285e12i | 0.240669 | − | 0.201945i | ||||
\(701\) | −1.23622e12 | − | 7.01094e12i | −0.193359 | − | 1.09659i | −0.914736 | − | 0.404051i | \(-0.867602\pi\) |
0.721378 | − | 0.692542i | \(-0.243509\pi\) | |||||||
\(702\) | 1.61795e12 | 0.251448 | ||||||||
\(703\) | −3.04074e11 | − | 3.96946e10i | −0.0469548 | − | 0.00612960i | ||||
\(704\) | −7.28313e11 | −0.111748 | ||||||||
\(705\) | −1.27823e12 | − | 7.24917e12i | −0.194875 | − | 1.10519i | ||||
\(706\) | 4.79985e12 | − | 4.02756e12i | 0.727121 | − | 0.610127i | ||||
\(707\) | 4.00421e11 | − | 1.45741e11i | 0.0602740 | − | 0.0219379i | ||||
\(708\) | −1.30346e12 | − | 4.74420e11i | −0.194961 | − | 0.0709600i | ||||
\(709\) | −7.15596e12 | − | 6.00456e12i | −1.06355 | − | 0.892428i | −0.0691013 | − | 0.997610i | \(-0.522013\pi\) |
−0.994453 | + | 0.105182i | \(0.966458\pi\) | |||||||
\(710\) | −2.64640e11 | + | 4.58371e11i | −0.0390835 | + | 0.0676946i | ||||
\(711\) | 8.60804e11 | + | 1.49096e12i | 0.126326 | + | 0.218802i | ||||
\(712\) | −1.13083e11 | + | 6.41325e11i | −0.0164906 | + | 0.0935230i | ||||
\(713\) | −4.61668e10 | + | 2.61825e11i | −0.00669001 | + | 0.0379409i | ||||
\(714\) | −6.15043e11 | − | 1.06529e12i | −0.0885652 | − | 0.153399i | ||||
\(715\) | 1.79032e12 | − | 3.10092e12i | 0.256184 | − | 0.443724i | ||||
\(716\) | −4.01321e12 | − | 3.36748e12i | −0.570667 | − | 0.478847i | ||||
\(717\) | −7.20254e12 | − | 2.62151e12i | −1.01777 | − | 0.370438i | ||||
\(718\) | 7.41506e12 | − | 2.69886e12i | 1.04125 | − | 0.378984i | ||||
\(719\) | −9.79947e12 | + | 8.22273e12i | −1.36748 | + | 1.14746i | −0.393894 | + | 0.919156i | \(0.628872\pi\) |
−0.973591 | + | 0.228300i | \(0.926683\pi\) | |||||||
\(720\) | 8.70146e10 | + | 4.93484e11i | 0.0120669 | + | 0.0684348i | ||||
\(721\) | 1.79375e12 | 0.247202 | ||||||||
\(722\) | 4.38759e11 | − | 5.14433e12i | 0.0600909 | − | 0.704549i | ||||
\(723\) | −8.33199e12 | −1.13403 | ||||||||
\(724\) | −5.51886e11 | − | 3.12990e12i | −0.0746493 | − | 0.423357i | ||||
\(725\) | −1.00324e13 | + | 8.41815e12i | −1.34860 | + | 1.13161i | ||||
\(726\) | −1.09224e12 | + | 3.97544e11i | −0.145917 | + | 0.0531093i | ||||
\(727\) | 3.79837e12 | + | 1.38249e12i | 0.504304 | + | 0.183552i | 0.581629 | − | 0.813454i | \(-0.302416\pi\) |
−0.0773250 | + | 0.997006i | \(0.524638\pi\) | |||||||
\(728\) | −5.17695e11 | − | 4.34398e11i | −0.0683098 | − | 0.0573187i | ||||
\(729\) | −2.80016e12 | + | 4.85002e12i | −0.367205 | + | 0.636018i | ||||
\(730\) | −6.76934e12 | − | 1.17248e13i | −0.882253 | − | 1.52811i | ||||
\(731\) | −4.16563e11 | + | 2.36245e12i | −0.0539576 | + | 0.306009i | ||||
\(732\) | 3.51632e11 | − | 1.99420e12i | 0.0452677 | − | 0.256726i | ||||
\(733\) | −9.89437e11 | − | 1.71376e12i | −0.126596 | − | 0.219271i | 0.795760 | − | 0.605613i | \(-0.207072\pi\) |
−0.922356 | + | 0.386342i | \(0.873739\pi\) | |||||||
\(734\) | −2.77276e12 | + | 4.80256e12i | −0.352598 | + | 0.610717i | ||||
\(735\) | −5.74071e12 | − | 4.81703e12i | −0.725559 | − | 0.608816i | ||||
\(736\) | −7.52494e11 | − | 2.73885e11i | −0.0945264 | − | 0.0344048i | ||||
\(737\) | 1.27334e13 | − | 4.63458e12i | 1.58980 | − | 0.578638i | ||||
\(738\) | 3.47702e11 | − | 2.91757e11i | 0.0431473 | − | 0.0362049i | ||||
\(739\) | 5.24971e11 | + | 2.97726e12i | 0.0647494 | + | 0.367212i | 0.999915 | + | 0.0130024i | \(0.00413892\pi\) |
−0.935166 | + | 0.354210i | \(0.884750\pi\) | |||||||
\(740\) | 2.73659e11 | 0.0335481 | ||||||||
\(741\) | −3.60008e12 | − | 4.69964e11i | −0.438663 | − | 0.0572641i | ||||
\(742\) | −6.45186e12 | −0.781389 | ||||||||
\(743\) | 1.77877e12 | + | 1.00879e13i | 0.214126 | + | 1.21437i | 0.882416 | + | 0.470470i | \(0.155916\pi\) |
−0.668289 | + | 0.743901i | \(0.732973\pi\) | |||||||
\(744\) | −1.67609e11 | + | 1.40641e11i | −0.0200549 | + | 0.0168280i | ||||
\(745\) | 3.35988e12 | − | 1.22290e12i | 0.399595 | − | 0.145441i | ||||
\(746\) | 6.49111e12 | + | 2.36257e12i | 0.767351 | + | 0.279293i | ||||
\(747\) | 4.91898e11 | + | 4.12751e11i | 0.0578005 | + | 0.0485004i | ||||
\(748\) | −7.02860e11 | + | 1.21739e12i | −0.0820941 | + | 0.142191i | ||||
\(749\) | 3.06798e12 | + | 5.31390e12i | 0.356192 | + | 0.616943i | ||||
\(750\) | −1.26749e10 | + | 7.18831e10i | −0.00146275 | + | 0.00829567i | ||||
\(751\) | −3.41559e11 | + | 1.93708e12i | −0.0391819 | + | 0.222212i | −0.998111 | − | 0.0614337i | \(-0.980433\pi\) |
0.958929 | + | 0.283645i | \(0.0915438\pi\) | |||||||
\(752\) | 7.93837e11 | + | 1.37497e12i | 0.0905214 | + | 0.156788i | ||||
\(753\) | −2.21225e12 | + | 3.83173e12i | −0.250759 | + | 0.434327i | ||||
\(754\) | 3.39716e12 | + | 2.85055e12i | 0.382776 | + | 0.321187i | ||||
\(755\) | −1.12534e13 | − | 4.09589e12i | −1.26044 | − | 0.458761i | ||||
\(756\) | 2.31331e12 | − | 8.41977e11i | 0.257565 | − | 0.0937459i | ||||
\(757\) | 8.06629e12 | − | 6.76842e12i | 0.892776 | − | 0.749128i | −0.0759889 | − | 0.997109i | \(-0.524211\pi\) |
0.968765 | + | 0.247981i | \(0.0797669\pi\) | |||||||
\(758\) | −1.59542e12 | − | 9.04808e12i | −0.175535 | − | 0.995509i | ||||
\(759\) | 5.08696e12 | 0.556378 | ||||||||
\(760\) | 2.05999e11 | + | 4.60288e12i | 0.0223977 | + | 0.500459i | ||||
\(761\) | 1.20684e13 | 1.30442 | 0.652211 | − | 0.758038i | \(-0.273842\pi\) | ||||
0.652211 | + | 0.758038i | \(0.273842\pi\) | |||||||
\(762\) | 2.12126e12 | + | 1.20302e13i | 0.227927 | + | 1.29264i | ||||
\(763\) | −1.77604e12 | + | 1.49028e12i | −0.189711 | + | 0.159187i | ||||
\(764\) | 4.93338e12 | − | 1.79560e12i | 0.523871 | − | 0.190673i | ||||
\(765\) | 9.08842e11 | + | 3.30791e11i | 0.0959427 | + | 0.0349203i | ||||
\(766\) | −4.14777e12 | − | 3.48040e12i | −0.435297 | − | 0.365258i | ||||
\(767\) | −7.35440e11 | + | 1.27382e12i | −0.0767305 | + | 0.132901i | ||||
\(768\) | −3.29513e11 | − | 5.70733e11i | −0.0341780 | − | 0.0591981i | ||||
\(769\) | 5.85257e11 | − | 3.31916e12i | 0.0603501 | − | 0.342263i | −0.939650 | − | 0.342138i | \(-0.888849\pi\) |
1.00000 | 0.000125025i | \(-3.97965e-5\pi\) | ||||||||
\(770\) | 9.46048e11 | − | 5.36531e12i | 0.0969851 | − | 0.550030i | ||||
\(771\) | −3.03784e12 | − | 5.26169e12i | −0.309614 | − | 0.536266i | ||||
\(772\) | −3.30891e12 | + | 5.73121e12i | −0.335280 | + | 0.580722i | ||||
\(773\) | 6.55769e12 | + | 5.50256e12i | 0.660607 | + | 0.554315i | 0.910269 | − | 0.414018i | \(-0.135875\pi\) |
−0.249662 | + | 0.968333i | \(0.580319\pi\) | |||||||
\(774\) | 1.10099e12 | + | 4.00728e11i | 0.110268 | + | 0.0401343i | ||||
\(775\) | −6.43848e11 | + | 2.34342e11i | −0.0641100 | + | 0.0233341i | ||||
\(776\) | 4.52454e12 | − | 3.79654e12i | 0.447916 | − | 0.375846i | ||||
\(777\) | 5.69747e10 | + | 3.23119e11i | 0.00560773 | + | 0.0318030i | ||||
\(778\) | −7.21308e10 | −0.00705850 | ||||||||
\(779\) | 3.51741e12 | − | 2.24624e12i | 0.342219 | − | 0.218543i | ||||
\(780\) | 3.23999e12 | 0.313414 | ||||||||
\(781\) | 1.25928e11 | + | 7.14172e11i | 0.0121113 | + | 0.0686868i | ||||
\(782\) | −1.18400e12 | + | 9.93495e11i | −0.113220 | + | 0.0950026i | ||||
\(783\) | −1.51802e13 | + | 5.52512e12i | −1.44327 | + | 0.525308i | ||||
\(784\) | 1.51887e12 | + | 5.52825e11i | 0.143582 | + | 0.0522595i | ||||
\(785\) | −2.24818e13 | − | 1.88645e13i | −2.11309 | − | 1.77309i | ||||
\(786\) | 2.03190e12 | − | 3.51936e12i | 0.189890 | − | 0.328899i | ||||
\(787\) | 2.32966e12 | + | 4.03508e12i | 0.216474 | + | 0.374944i | 0.953728 | − | 0.300672i | \(-0.0972110\pi\) |
−0.737254 | + | 0.675616i | \(0.763878\pi\) | |||||||
\(788\) | −1.83232e12 | + | 1.03916e13i | −0.169291 | + | 0.960095i | ||||
\(789\) | −7.05691e11 | + | 4.00217e12i | −0.0648288 | + | 0.367663i | ||||
\(790\) | −7.06332e12 | − | 1.22340e13i | −0.645189 | − | 1.11750i | ||||
\(791\) | −3.53137e11 | + | 6.11651e11i | −0.0320737 | + | 0.0555532i | ||||
\(792\) | 5.25946e11 | + | 4.41321e11i | 0.0474982 | + | 0.0398558i | ||||
\(793\) | −2.01776e12 | − | 7.34405e11i | −0.181193 | − | 0.0659487i | ||||
\(794\) | 5.00972e12 | − | 1.82339e12i | 0.447323 | − | 0.162812i | ||||
\(795\) | 2.36953e13 | − | 1.98827e13i | 2.10383 | − | 1.76532i | ||||
\(796\) | −1.83186e12 | − | 1.03890e13i | −0.161727 | − | 0.917201i | ||||
\(797\) | −5.53353e12 | −0.485780 | −0.242890 | − | 0.970054i | \(-0.578095\pi\) | ||||
−0.242890 | + | 0.970054i | \(0.578095\pi\) | |||||||
\(798\) | −5.39190e12 | + | 1.20153e12i | −0.470683 | + | 0.104887i | ||||
\(799\) | 3.06438e12 | 0.266000 | ||||||||
\(800\) | −3.58365e11 | − | 2.03239e12i | −0.0309329 | − | 0.175429i | ||||
\(801\) | 4.70273e11 | − | 3.94606e11i | 0.0403649 | − | 0.0338701i | ||||
\(802\) | 8.70281e12 | − | 3.16756e12i | 0.742805 | − | 0.270359i | ||||
\(803\) | −1.74312e13 | − | 6.34444e12i | −1.47947 | − | 0.538484i | ||||
\(804\) | 9.39285e12 | + | 7.88154e12i | 0.792766 | + | 0.665210i | ||||
\(805\) | 2.99511e12 | − | 5.18768e12i | 0.251380 | − | 0.435403i | ||||
\(806\) | 1.16006e11 | + | 2.00928e11i | 0.00968216 | + | 0.0167700i | ||||
\(807\) | −2.57263e12 | + | 1.45901e13i | −0.213523 | + | 1.21095i | ||||
\(808\) | 7.65156e10 | − | 4.33941e11i | 0.00631537 | − | 0.0358162i | ||||
\(809\) | 2.48005e12 | + | 4.29558e12i | 0.203560 | + | 0.352576i | 0.949673 | − | 0.313243i | \(-0.101415\pi\) |
−0.746113 | + | 0.665819i | \(0.768082\pi\) | |||||||
\(810\) | −7.10522e12 | + | 1.23066e13i | −0.579956 | + | 1.00451i | ||||
\(811\) | −4.28403e11 | − | 3.59473e11i | −0.0347743 | − | 0.0291791i | 0.625235 | − | 0.780437i | \(-0.285003\pi\) |
−0.660009 | + | 0.751258i | \(0.729448\pi\) | |||||||
\(812\) | 6.34061e12 | + | 2.30779e12i | 0.511834 | + | 0.186292i | ||||
\(813\) | 1.52451e13 | − | 5.54876e12i | 1.22383 | − | 0.445439i | ||||
\(814\) | 2.87230e11 | − | 2.41014e11i | 0.0229308 | − | 0.0192412i | ||||
\(815\) | −4.72838e11 | − | 2.68160e12i | −0.0375408 | − | 0.212904i | ||||
\(816\) | −1.27199e12 | −0.100433 | ||||||||
\(817\) | 9.56128e12 | + | 4.96403e12i | 0.750787 | + | 0.389794i | ||||
\(818\) | 1.87903e12 | 0.146739 | ||||||||
\(819\) | 1.10626e11 | + | 6.27394e11i | 0.00859175 | + | 0.0487262i | ||||
\(820\) | −2.85307e12 | + | 2.39401e12i | −0.220369 | + | 0.184911i | ||||
\(821\) | 1.62920e13 | − | 5.92979e12i | 1.25150 | − | 0.455507i | 0.370589 | − | 0.928797i | \(-0.379156\pi\) |
0.880907 | + | 0.473290i | \(0.156934\pi\) | |||||||
\(822\) | 1.64046e12 | + | 5.97078e11i | 0.125326 | + | 0.0456150i | ||||
\(823\) | 9.64643e12 | + | 8.09432e12i | 0.732938 | + | 0.615008i | 0.930931 | − | 0.365195i | \(-0.118998\pi\) |
−0.197993 | + | 0.980204i | \(0.563442\pi\) | |||||||
\(824\) | 9.27425e11 | − | 1.60635e12i | 0.0700820 | − | 0.121386i | ||||
\(825\) | 6.55491e12 | + | 1.13534e13i | 0.492633 | + | 0.853266i | ||||
\(826\) | −3.88625e11 | + | 2.20400e12i | −0.0290483 | + | 0.164741i | ||||
\(827\) | −2.55473e12 | + | 1.44886e13i | −0.189920 | + | 1.07709i | 0.729550 | + | 0.683928i | \(0.239730\pi\) |
−0.919470 | + | 0.393161i | \(0.871381\pi\) | |||||||
\(828\) | 3.77447e11 | + | 6.53758e11i | 0.0279074 | + | 0.0483371i | ||||
\(829\) | −8.59729e12 | + | 1.48909e13i | −0.632217 | + | 1.09503i | 0.354881 | + | 0.934912i | \(0.384521\pi\) |
−0.987098 | + | 0.160120i | \(0.948812\pi\) | |||||||
\(830\) | −4.03626e12 | − | 3.38682e12i | −0.295208 | − | 0.247709i | ||||
\(831\) | −1.11417e13 | − | 4.05526e12i | −0.810492 | − | 0.294995i | ||||
\(832\) | −6.56680e11 | + | 2.39012e11i | −0.0475115 | + | 0.0172928i | ||||
\(833\) | 2.38985e12 | − | 2.00532e12i | 0.171976 | − | 0.144305i | ||||
\(834\) | 1.30923e11 | + | 7.42503e11i | 0.00937065 | + | 0.0531436i | ||||
\(835\) | 3.08663e13 | 2.19733 | ||||||||
\(836\) | 4.27001e12 | + | 4.64971e12i | 0.302344 | + | 0.329228i | ||||
\(837\) | −8.45159e11 | −0.0595215 | ||||||||
\(838\) | 1.76534e11 | + | 1.00118e12i | 0.0123661 | + | 0.0701314i | ||||
\(839\) | −6.65693e12 | + | 5.58583e12i | −0.463815 | + | 0.389187i | −0.844532 | − | 0.535504i | \(-0.820122\pi\) |
0.380717 | + | 0.924691i | \(0.375677\pi\) | |||||||
\(840\) | 4.63248e12 | − | 1.68608e12i | 0.321038 | − | 0.116848i | ||||
\(841\) | −2.79753e13 | − | 1.01822e13i | −1.92838 | − | 0.701874i | ||||
\(842\) | 3.81047e12 | + | 3.19736e12i | 0.261260 | + | 0.219224i | ||||
\(843\) | −6.52771e12 | + | 1.13063e13i | −0.445181 | + | 0.771076i | ||||
\(844\) | 4.50683e12 | + | 7.80605e12i | 0.305724 | + | 0.529530i | ||||
\(845\) | −3.04988e12 | + | 1.72967e13i | −0.205792 | + | 1.16710i | ||||
\(846\) | 2.59897e11 | − | 1.47395e12i | 0.0174435 | − | 0.0989271i | ||||
\(847\) | 9.37677e11 | + | 1.62410e12i | 0.0626005 | + | 0.108427i | ||||
\(848\) | −3.33582e12 | + | 5.77781e12i | −0.221524 | + | 0.383691i | ||||
\(849\) | 9.17216e12 | + | 7.69635e12i | 0.605880 | + | 0.508394i | ||||
\(850\) | −3.74302e12 | − | 1.36235e12i | −0.245945 | − | 0.0895165i | ||||
\(851\) | 3.87401e11 | − | 1.41002e11i | 0.0253208 | − | 0.00921602i | ||||
\(852\) | −5.02678e11 | + | 4.21797e11i | −0.0326822 | + | 0.0274236i | ||||
\(853\) | 4.46744e12 | + | 2.53361e13i | 0.288927 | + | 1.63859i | 0.690910 | + | 0.722941i | \(0.257210\pi\) |
−0.401983 | + | 0.915647i | \(0.631679\pi\) | |||||||
\(854\) | −3.26714e12 | −0.210188 | ||||||||
\(855\) | 2.64035e12 | − | 3.44876e12i | 0.168972 | − | 0.220707i | ||||
\(856\) | 6.34499e12 | 0.403923 | ||||||||
\(857\) | 4.62802e12 | + | 2.62468e13i | 0.293077 | + | 1.66212i | 0.674916 | + | 0.737894i | \(0.264180\pi\) |
−0.381839 | + | 0.924229i | \(0.624709\pi\) | |||||||
\(858\) | 3.40066e12 | − | 2.85349e12i | 0.214225 | − | 0.179756i | ||||
\(859\) | −2.16864e13 | + | 7.89322e12i | −1.35900 | + | 0.494635i | −0.915744 | − | 0.401761i | \(-0.868398\pi\) |
−0.443254 | + | 0.896396i | \(0.646176\pi\) | |||||||
\(860\) | −9.03417e12 | − | 3.28817e12i | −0.563178 | − | 0.204980i | ||||
\(861\) | −3.42069e12 | − | 2.87030e12i | −0.212129 | − | 0.177997i | ||||
\(862\) | −6.49681e12 | + | 1.12528e13i | −0.400790 | + | 0.694189i | ||||
\(863\) | −2.78876e12 | − | 4.83027e12i | −0.171144 | − | 0.296431i | 0.767676 | − | 0.640838i | \(-0.221413\pi\) |
−0.938820 | + | 0.344408i | \(0.888080\pi\) | |||||||
\(864\) | 4.42045e11 | − | 2.50696e12i | 0.0269870 | − | 0.153051i | ||||
\(865\) | 6.34025e12 | − | 3.59574e13i | 0.385065 | − | 2.18381i | ||||
\(866\) | −2.51915e11 | − | 4.36329e11i | −0.0152203 | − | 0.0263623i | ||||
\(867\) | 7.87061e12 | − | 1.36323e13i | 0.473067 | − | 0.819375i | ||||
\(868\) | 2.70425e11 | + | 2.26914e11i | 0.0161700 | + | 0.0135682i | ||||
\(869\) | −1.81882e13 | − | 6.61996e12i | −1.08193 | − | 0.393792i | ||||
\(870\) | −3.03987e13 | + | 1.10642e13i | −1.79895 | + | 0.654763i | ||||
\(871\) | 9.96009e12 | − | 8.35751e12i | 0.586383 | − | 0.492034i | ||||
\(872\) | 4.16311e11 | + | 2.36102e12i | 0.0243834 | + | 0.138285i | ||||
\(873\) | −5.56787e12 | −0.324433 | ||||||||
\(874\) | 2.66324e12 | + | 6.40984e12i | 0.154386 | + | 0.371574i | ||||
\(875\) | 1.17767e11 | 0.00679186 | ||||||||
\(876\) | −2.91471e12 | − | 1.65302e13i | −0.167235 | − | 0.948437i | ||||
\(877\) | 6.58551e12 | − | 5.52590e12i | 0.375917 | − | 0.315431i | −0.435180 | − | 0.900343i | \(-0.643315\pi\) |
0.811097 | + | 0.584912i | \(0.198871\pi\) | |||||||
\(878\) | −1.37688e13 | + | 5.01143e12i | −0.781935 | + | 0.284601i | ||||
\(879\) | −1.13503e13 | − | 4.13116e12i | −0.641293 | − | 0.233412i | ||||
\(880\) | −4.31564e12 | − | 3.62125e12i | −0.242590 | − | 0.203557i | ||||
\(881\) | 1.45262e13 | − | 2.51601e13i | 0.812382 | − | 1.40709i | −0.0988101 | − | 0.995106i | \(-0.531504\pi\) |
0.911192 | − | 0.411981i | \(-0.135163\pi\) | |||||||
\(882\) | −7.61859e11 | − | 1.31958e12i | −0.0423903 | − | 0.0734221i | ||||
\(883\) | 3.60736e12 | − | 2.04583e13i | 0.199695 | − | 1.13252i | −0.705878 | − | 0.708333i | \(-0.749447\pi\) |
0.905573 | − | 0.424191i | \(-0.139441\pi\) | |||||||
\(884\) | −2.34217e11 | + | 1.32831e12i | −0.0128998 | + | 0.0731586i | ||||
\(885\) | −5.36481e12 | − | 9.29213e12i | −0.293975 | − | 0.509179i | ||||
\(886\) | 1.75926e12 | − | 3.04712e12i | 0.0959129 | − | 0.166126i | ||||
\(887\) | 9.07411e12 | + | 7.61408e12i | 0.492207 | + | 0.413010i | 0.854816 | − | 0.518931i | \(-0.173670\pi\) |
−0.362610 | + | 0.931941i | \(0.618114\pi\) | |||||||
\(888\) | 3.18820e11 | + | 1.16041e11i | 0.0172063 | + | 0.00626258i | ||||
\(889\) | 1.85207e13 | − | 6.74099e12i | 0.994490 | − | 0.361965i | ||||
\(890\) | −3.85882e12 | + | 3.23793e12i | −0.206157 | + | 0.172987i | ||||
\(891\) | 3.38098e12 | + | 1.91745e13i | 0.179719 | + | 1.01923i | ||||
\(892\) | −9.07355e12 | −0.479883 | ||||||||
\(893\) | 4.12390e12 | − | 1.31293e13i | 0.217009 | − | 0.690891i | ||||
\(894\) | 4.43289e12 | 0.232096 | ||||||||
\(895\) | −7.03689e12 | − | 3.99082e13i | −0.366587 | − | 2.07902i | ||||
\(896\) | −8.14527e11 | + | 6.83470e11i | −0.0422201 | + | 0.0354269i | ||||
\(897\) | 4.58663e12 | − | 1.66940e12i | 0.236553 | − | 0.0860982i | ||||
\(898\) | 1.99833e13 | + | 7.27333e12i | 1.02547 | + | 0.373241i | ||||
\(899\) | −1.77455e12 | − | 1.48903e12i | −0.0906089 | − | 0.0760299i | ||||
\(900\) | −9.72735e11 | + | 1.68483e12i | −0.0494201 | + | 0.0855980i | ||||
\(901\) | 6.43849e12 | + | 1.11518e13i | 0.325478 | + | 0.563745i | ||||
\(902\) | −8.86121e11 | + | 5.02544e12i | −0.0445722 | + | 0.252781i | ||||
\(903\) | 2.00159e12 | − | 1.13516e13i | 0.100180 | − | 0.568147i | ||||
\(904\) | 3.65167e11 | + | 6.32487e11i | 0.0181858 | + | 0.0314988i | ||||
\(905\) | 1.22920e13 | − | 2.12904e13i | 0.609121 | − | 1.05503i | ||||
\(906\) | −1.13736e13 | − | 9.54362e12i | −0.560819 | − | 0.470583i | ||||
\(907\) | 2.39019e13 | + | 8.69958e12i | 1.17273 | + | 0.426840i | 0.853630 | − | 0.520879i | \(-0.174396\pi\) |
0.319104 | + | 0.947720i | \(0.396618\pi\) | |||||||
\(908\) | −1.36949e13 | + | 4.98452e12i | −0.668607 | + | 0.243353i | ||||
\(909\) | −3.18202e11 | + | 2.67003e11i | −0.0154584 | + | 0.0129711i | ||||
\(910\) | −9.07744e11 | − | 5.14807e12i | −0.0438811 | − | 0.248862i | ||||
\(911\) | −1.28164e12 | −0.0616499 | −0.0308250 | − | 0.999525i | \(-0.509813\pi\) | ||||
−0.0308250 | + | 0.999525i | \(0.509813\pi\) | |||||||
\(912\) | −1.71179e12 | + | 5.44982e12i | −0.0819356 | + | 0.260859i | ||||
\(913\) | −7.21922e12 | −0.343852 | ||||||||
\(914\) | 3.89612e12 | + | 2.20960e13i | 0.184660 | + | 1.04726i | ||||
\(915\) | 1.19990e13 | − | 1.00684e13i | 0.565914 | − | 0.474858i | ||||
\(916\) | −3.17408e12 | + | 1.15527e12i | −0.148967 | + | 0.0542194i | ||||
\(917\) | −6.16125e12 | − | 2.24251e12i | −0.287744 | − | 0.104730i | ||||
\(918\) | −3.76384e12 | − | 3.15824e12i | −0.174920 | − | 0.146775i | ||||
\(919\) | −6.12416e12 | + | 1.06073e13i | −0.283222 | + | 0.490554i | −0.972176 | − | 0.234250i | \(-0.924737\pi\) |
0.688955 | + | 0.724804i | \(0.258070\pi\) | |||||||
\(920\) | −3.09714e12 | − | 5.36440e12i | −0.142533 | − | 0.246874i | ||||
\(921\) | 9.94833e11 | − | 5.64198e12i | 0.0455598 | − | 0.258383i | ||||
\(922\) | −1.33582e12 | + | 7.57581e12i | −0.0608778 | + | 0.345255i | ||||
\(923\) | 3.47914e11 | + | 6.02604e11i | 0.0157784 | + | 0.0273290i | ||||
\(924\) | 3.37724e12 | − | 5.84956e12i | 0.152419 | − | 0.263997i | ||||
\(925\) | 8.13892e11 | + | 6.82937e11i | 0.0365535 | + | 0.0306720i | ||||
\(926\) | −7.39451e12 | − | 2.69138e12i | −0.330491 | − | 0.120289i | ||||
\(927\) | −1.64310e12 | + | 5.98039e11i | −0.0730810 | + | 0.0265993i | ||||
\(928\) | 5.34500e12 | − | 4.48498e12i | 0.236582 | − | 0.198516i | ||||
\(929\) | −9.90372e11 | − | 5.61668e12i | −0.0436242 | − | 0.247405i | 0.955196 | − | 0.295975i | \(-0.0956447\pi\) |
−0.998820 | + | 0.0485702i | \(0.984534\pi\) | |||||||
\(930\) | −1.69246e12 | −0.0741898 | ||||||||
\(931\) | −5.37563e12 | − | 1.29380e13i | −0.234507 | − | 0.564407i | ||||
\(932\) | 1.18693e13 | 0.515290 | ||||||||
\(933\) | 6.83706e12 | + | 3.87749e13i | 0.295394 | + | 1.67526i | ||||
\(934\) | 2.17758e13 | − | 1.82721e13i | 0.936295 | − | 0.785645i | ||||
\(935\) | −1.02178e13 | + | 3.71898e12i | −0.437226 | + | 0.159137i | ||||
\(936\) | 6.19046e11 | + | 2.25314e11i | 0.0263622 | + | 0.00959505i | ||||
\(937\) | −2.02927e13 | − | 1.70276e13i | −0.860028 | − | 0.721649i | 0.101946 | − | 0.994790i | \(-0.467493\pi\) |
−0.961974 | + | 0.273141i | \(0.911937\pi\) | |||||||
\(938\) | 9.89152e12 | − | 1.71326e13i | 0.417206 | − | 0.722621i | ||||
\(939\) | −1.23872e13 | − | 2.14552e13i | −0.519968 | − | 0.900612i | ||||
\(940\) | −2.13258e12 | + | 1.20944e13i | −0.0890901 | + | 0.505255i | ||||
\(941\) | 6.86220e12 | − | 3.89175e13i | 0.285305 | − | 1.61805i | −0.418887 | − | 0.908038i | \(-0.637580\pi\) |
0.704192 | − | 0.710009i | \(-0.251309\pi\) | |||||||
\(942\) | −1.81927e13 | − | 3.15106e13i | −0.752779 | − | 1.30385i | ||||
\(943\) | −2.80538e12 | + | 4.85907e12i | −0.115529 | + | 0.200101i | ||||
\(944\) | 1.77281e12 | + | 1.48757e12i | 0.0726589 | + | 0.0609681i | ||||
\(945\) | 1.78940e13 | + | 6.51288e12i | 0.729902 | + | 0.265663i | ||||
\(946\) | −1.23781e13 | + | 4.50525e12i | −0.502508 | + | 0.182898i | ||||
\(947\) | −2.65511e13 | + | 2.22790e13i | −1.07277 | + | 0.900164i | −0.995301 | − | 0.0968305i | \(-0.969130\pi\) |
−0.0774727 | + | 0.996994i | \(0.524685\pi\) | |||||||
\(948\) | −3.04129e12 | − | 1.72480e13i | −0.122298 | − | 0.693589i | ||||
\(949\) | −1.77988e13 | −0.712350 | ||||||||
\(950\) | −1.08742e13 | + | 1.42035e13i | −0.433151 | + | 0.565771i | ||||
\(951\) | −3.14967e13 | −1.24868 | ||||||||
\(952\) | 3.56371e11 | + | 2.02108e12i | 0.0140617 | + | 0.0797476i | ||||
\(953\) | −1.17630e13 | + | 9.87030e12i | −0.461954 | + | 0.387626i | −0.843849 | − | 0.536580i | \(-0.819716\pi\) |
0.381895 | + | 0.924206i | \(0.375272\pi\) | |||||||
\(954\) | 5.91000e12 | − | 2.15106e12i | 0.231004 | − | 0.0840786i | ||||
\(955\) | 3.81608e13 | + | 1.38894e13i | 1.48458 | + | 0.540341i | ||||
\(956\) | 9.79605e12 | + | 8.21986e12i | 0.379307 | + | 0.318276i | ||||
\(957\) | −2.21618e13 | + | 3.83853e13i | −0.854084 | + | 1.47932i | ||||
\(958\) | −5.79723e12 | − | 1.00411e13i | −0.222370 | − | 0.385156i | ||||
\(959\) | 4.89102e11 | − | 2.77383e12i | 0.0186731 | − | 0.105900i | ||||
\(960\) | 8.85209e11 | − | 5.02027e12i | 0.0336376 | − | 0.190768i | ||||
\(961\) | 1.31592e13 | + | 2.27924e13i | 0.497708 | + | 0.862056i | ||||
\(962\) | 1.79885e11 | − | 3.11570e11i | 0.00677185 | − | 0.0117292i | ||||
\(963\) | −4.58198e12 | − | 3.84474e12i | −0.171686 | − | 0.144062i | ||||
\(964\) | 1.30627e13 | + | 4.75442e12i | 0.487175 | + | 0.177317i | ||||
\(965\) | −4.81032e13 | + | 1.75082e13i | −1.78567 | + | 0.649931i | ||||
\(966\) | 5.68913e12 | − | 4.77375e12i | 0.210208 | − | 0.176385i | ||||
\(967\) | 4.51335e12 | + | 2.55965e13i | 0.165989 | + | 0.941371i | 0.948039 | + | 0.318155i | \(0.103063\pi\) |
−0.782050 | + | 0.623216i | \(0.785826\pi\) | |||||||
\(968\) | 1.93924e12 | 0.0709892 | ||||||||
\(969\) | 7.45752e12 | + | 8.12065e12i | 0.271730 | + | 0.295892i | ||||
\(970\) | 4.56871e13 | 1.65699 | ||||||||
\(971\) | −7.19118e11 | − | 4.07832e12i | −0.0259605 | − | 0.147229i | 0.969072 | − | 0.246777i | \(-0.0793715\pi\) |
−0.995033 | + | 0.0995476i | \(0.968260\pi\) | |||||||
\(972\) | −4.12526e12 | + | 3.46151e12i | −0.148236 | + | 0.124385i | ||||
\(973\) | 1.14309e12 | − | 4.16052e11i | 0.0408860 | − | 0.0148813i | ||||
\(974\) | 2.80069e13 | + | 1.01937e13i | 0.997127 | + | 0.362924i | ||||
\(975\) | 9.63608e12 | + | 8.08563e12i | 0.341491 | + | 0.286545i | ||||
\(976\) | −1.68922e12 | + | 2.92581e12i | −0.0595884 | + | 0.103210i | ||||
\(977\) | −1.77735e13 | − | 3.07846e13i | −0.624091 | − | 1.08096i | −0.988716 | − | 0.149803i | \(-0.952136\pi\) |
0.364625 | − | 0.931154i | \(-0.381197\pi\) | |||||||
\(978\) | 5.86222e11 | − | 3.32463e12i | 0.0204898 | − | 0.116203i | ||||
\(979\) | −1.19849e12 | + | 6.79699e12i | −0.0416978 | + | 0.236480i | ||||
\(980\) | 6.25143e12 | + | 1.08278e13i | 0.216502 | + | 0.374992i | ||||
\(981\) | 1.13002e12 | − | 1.95725e12i | 0.0389562 | − | 0.0674740i | ||||
\(982\) | −1.09306e13 | − | 9.17190e12i | −0.375098 | − | 0.314744i | ||||
\(983\) | 1.43001e13 | + | 5.20482e12i | 0.488483 | + | 0.177793i | 0.574507 | − | 0.818500i | \(-0.305194\pi\) |
−0.0860240 | + | 0.996293i | \(0.527416\pi\) | |||||||
\(984\) | −4.33903e12 | + | 1.57928e12i | −0.147542 | + | 0.0537008i | ||||
\(985\) | −6.25256e13 | + | 5.24652e13i | −2.11639 | + | 1.77586i | ||||
\(986\) | −2.33854e12 | − | 1.32625e13i | −0.0787950 | − | 0.446868i | ||||
\(987\) | −1.47243e13 | −0.493866 | ||||||||
\(988\) | 5.37594e12 | + | 2.79109e12i | 0.179493 | + | 0.0931895i | ||||
\(989\) | −1.44833e13 | −0.481375 | ||||||||
\(990\) | 9.22211e11 | + | 5.23012e12i | 0.0305121 | + | 0.173043i | ||||
\(991\) | 3.65132e13 | − | 3.06382e13i | 1.20259 | − | 1.00910i | 0.203041 | − | 0.979170i | \(-0.434918\pi\) |
0.999552 | − | 0.0299249i | \(-0.00952683\pi\) | |||||||
\(992\) | 3.43026e11 | − | 1.24851e11i | 0.0112467 | − | 0.00409346i | ||||
\(993\) | −1.59950e13 | − | 5.82171e12i | −0.522051 | − | 0.190011i | ||||
\(994\) | 8.11034e11 | + | 6.80538e11i | 0.0263512 | + | 0.0221113i | ||||
\(995\) | 4.08005e13 | − | 7.06685e13i | 1.31966 | − | 2.28571i | ||||
\(996\) | −3.26621e12 | − | 5.65725e12i | −0.105166 | − | 0.182154i | ||||
\(997\) | −8.37456e12 | + | 4.74945e13i | −0.268432 | + | 1.52235i | 0.490651 | + | 0.871356i | \(0.336759\pi\) |
−0.759082 | + | 0.650995i | \(0.774352\pi\) | |||||||
\(998\) | 3.46143e11 | − | 1.96308e12i | 0.0110451 | − | 0.0626397i | ||||
\(999\) | 6.55276e11 | + | 1.13497e12i | 0.0208151 | + | 0.0360529i |
(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 | 38.10.e.a.9.6 | ✓ | 42 | |
19.17 | even | 9 | inner | 38.10.e.a.17.6 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.e.a.9.6 | ✓ | 42 | 1.1 | even | 1 | trivial | |
38.10.e.a.17.6 | yes | 42 | 19.17 | even | 9 | inner |