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 | 5.5 | ||
Character | \(\chi\) | \(=\) | 38.5 |
Dual form | 38.10.e.a.23.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/38\mathbb{Z}\right)^\times\).
\(n\) | \(21\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 15.0351 | − | 5.47232i | 0.664463 | − | 0.241845i | ||||
\(3\) | 10.6794 | − | 60.5660i | 0.0761206 | − | 0.431701i | −0.922801 | − | 0.385276i | \(-0.874106\pi\) |
0.998922 | − | 0.0464248i | \(-0.0147828\pi\) | |||||||
\(4\) | 196.107 | − | 164.554i | 0.383022 | − | 0.321394i | ||||
\(5\) | 1283.65 | + | 1077.11i | 0.918507 | + | 0.770719i | 0.973718 | − | 0.227756i | \(-0.0731389\pi\) |
−0.0552116 | + | 0.998475i | \(0.517583\pi\) | |||||||
\(6\) | −170.871 | − | 969.056i | −0.0538254 | − | 0.305259i | ||||
\(7\) | −13.1166 | − | 22.7186i | −0.00206481 | − | 0.00357636i | 0.864991 | − | 0.501787i | \(-0.167324\pi\) |
−0.867056 | + | 0.498211i | \(0.833991\pi\) | |||||||
\(8\) | 2048.00 | − | 3547.24i | 0.176777 | − | 0.306186i | ||||
\(9\) | 14941.8 | + | 5438.36i | 0.759121 | + | 0.276297i | ||||
\(10\) | 25194.1 | + | 9169.91i | 0.796708 | + | 0.289978i | ||||
\(11\) | −16305.0 | + | 28241.1i | −0.335779 | + | 0.581587i | −0.983634 | − | 0.180177i | \(-0.942333\pi\) |
0.647855 | + | 0.761764i | \(0.275666\pi\) | |||||||
\(12\) | −7872.04 | − | 13634.8i | −0.109590 | − | 0.189816i | ||||
\(13\) | 13730.4 | + | 77868.8i | 0.133333 | + | 0.756168i | 0.976006 | + | 0.217743i | \(0.0698695\pi\) |
−0.842673 | + | 0.538425i | \(0.819019\pi\) | |||||||
\(14\) | −321.533 | − | 269.798i | −0.00223692 | − | 0.00187699i | ||||
\(15\) | 78945.0 | − | 66242.7i | 0.402637 | − | 0.337853i | ||||
\(16\) | 11380.2 | − | 64540.4i | 0.0434120 | − | 0.246202i | ||||
\(17\) | 273208. | − | 99439.6i | 0.793365 | − | 0.288761i | 0.0866311 | − | 0.996240i | \(-0.472390\pi\) |
0.706734 | + | 0.707479i | \(0.250168\pi\) | |||||||
\(18\) | 254411. | 0.571229 | ||||||||
\(19\) | 312091. | − | 474644.i | 0.549401 | − | 0.835559i | ||||
\(20\) | 428976. | 0.599513 | ||||||||
\(21\) | −1516.06 | + | 551.799i | −0.00170109 | + | 0.000619148i | ||||
\(22\) | −90602.7 | + | 513833.i | −0.0824592 | + | 0.467649i | ||||
\(23\) | 340527. | − | 285736.i | 0.253733 | − | 0.212907i | −0.507045 | − | 0.861920i | \(-0.669262\pi\) |
0.760778 | + | 0.649013i | \(0.224818\pi\) | |||||||
\(24\) | −192971. | − | 161922.i | −0.118725 | − | 0.0996218i | ||||
\(25\) | 148436. | + | 841821.i | 0.0759991 | + | 0.431012i | ||||
\(26\) | 632560. | + | 1.09563e6i | 0.271470 | + | 0.470200i | ||||
\(27\) | 1.09421e6 | − | 1.89522e6i | 0.396243 | − | 0.686313i | ||||
\(28\) | −6310.70 | − | 2296.91i | −0.00194029 | − | 0.000706207i | ||||
\(29\) | 1.94759e6 | + | 708864.i | 0.511336 | + | 0.186111i | 0.584785 | − | 0.811188i | \(-0.301179\pi\) |
−0.0734499 | + | 0.997299i | \(0.523401\pi\) | |||||||
\(30\) | 824443. | − | 1.42798e6i | 0.185830 | − | 0.321867i | ||||
\(31\) | −279915. | − | 484827.i | −0.0544376 | − | 0.0942886i | 0.837522 | − | 0.546403i | \(-0.184003\pi\) |
−0.891960 | + | 0.452114i | \(0.850670\pi\) | |||||||
\(32\) | −182083. | − | 1.03265e6i | −0.0306970 | − | 0.174091i | ||||
\(33\) | 1.53632e6 | + | 1.28913e6i | 0.225512 | + | 0.189227i | ||||
\(34\) | 3.56354e6 | − | 2.99016e6i | 0.457327 | − | 0.383743i | ||||
\(35\) | 7633.35 | − | 43290.9i | 0.000859823 | − | 0.00487630i | ||||
\(36\) | 3.82510e6 | − | 1.39222e6i | 0.379560 | − | 0.138149i | ||||
\(37\) | 2.80119e6 | 0.245717 | 0.122859 | − | 0.992424i | \(-0.460794\pi\) | ||||
0.122859 | + | 0.992424i | \(0.460794\pi\) | |||||||
\(38\) | 2.09490e6 | − | 8.84418e6i | 0.162981 | − | 0.688068i | ||||
\(39\) | 4.86284e6 | 0.336588 | ||||||||
\(40\) | 6.44969e6 | − | 2.34750e6i | 0.398354 | − | 0.144989i | ||||
\(41\) | −2.71007e6 | + | 1.53695e7i | −0.149780 | + | 0.849442i | 0.813625 | + | 0.581390i | \(0.197491\pi\) |
−0.963404 | + | 0.268052i | \(0.913620\pi\) | |||||||
\(42\) | −19774.4 | + | 16592.7i | −0.000980576 | + | 0.000822801i | ||||
\(43\) | 1.39214e6 | + | 1.16814e6i | 0.0620975 | + | 0.0521060i | 0.673308 | − | 0.739362i | \(-0.264873\pi\) |
−0.611211 | + | 0.791468i | \(0.709317\pi\) | |||||||
\(44\) | 1.44964e6 | + | 8.22133e6i | 0.0583074 | + | 0.330678i | ||||
\(45\) | 1.33223e7 | + | 2.30749e7i | 0.484310 | + | 0.838850i | ||||
\(46\) | 3.55621e6 | − | 6.15954e6i | 0.117106 | − | 0.202833i | ||||
\(47\) | −3.83193e7 | − | 1.39471e7i | −1.14545 | − | 0.416911i | −0.301574 | − | 0.953443i | \(-0.597512\pi\) |
−0.843880 | + | 0.536532i | \(0.819734\pi\) | |||||||
\(48\) | −3.78742e6 | − | 1.37851e6i | −0.102981 | − | 0.0374821i | ||||
\(49\) | 2.01765e7 | − | 3.49467e7i | 0.499991 | − | 0.866011i | ||||
\(50\) | 6.83846e6 | + | 1.18446e7i | 0.154737 | + | 0.268012i | ||||
\(51\) | −3.10495e6 | − | 1.76091e7i | −0.0642672 | − | 0.364478i | ||||
\(52\) | 1.55062e7 | + | 1.30113e7i | 0.294097 | + | 0.246777i | ||||
\(53\) | −4.17144e7 | + | 3.50025e7i | −0.726181 | + | 0.609338i | −0.929087 | − | 0.369860i | \(-0.879406\pi\) |
0.202907 | + | 0.979198i | \(0.434961\pi\) | |||||||
\(54\) | 6.08021e6 | − | 3.44826e7i | 0.0973077 | − | 0.551859i | ||||
\(55\) | −5.13488e7 | + | 1.86894e7i | −0.756655 | + | 0.275400i | ||||
\(56\) | −107451. | −0.00146004 | ||||||||
\(57\) | −2.54144e7 | − | 2.39710e7i | −0.318891 | − | 0.300780i | ||||
\(58\) | 3.31613e7 | 0.384774 | ||||||||
\(59\) | −1.47375e8 | + | 5.36400e7i | −1.58339 | + | 0.576308i | −0.975938 | − | 0.218046i | \(-0.930032\pi\) |
−0.607455 | + | 0.794354i | \(0.707809\pi\) | |||||||
\(60\) | 4.58122e6 | − | 2.59814e7i | 0.0456352 | − | 0.258810i | ||||
\(61\) | −1.20789e8 | + | 1.01354e8i | −1.11698 | + | 0.937254i | −0.998448 | − | 0.0556966i | \(-0.982262\pi\) |
−0.118528 | + | 0.992951i | \(0.537818\pi\) | |||||||
\(62\) | −6.86168e6 | − | 5.75763e6i | −0.0589750 | − | 0.0494859i | ||||
\(63\) | −72433.3 | − | 410790.i | −0.000579303 | − | 0.00328539i | ||||
\(64\) | −8.38861e6 | − | 1.45295e7i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −6.62484e7 | + | 1.14746e8i | −0.460326 | + | 0.797308i | ||||
\(66\) | 3.01532e7 | + | 1.09749e7i | 0.195608 | + | 0.0711955i | ||||
\(67\) | −1.17008e8 | − | 4.25873e7i | −0.709378 | − | 0.258192i | −0.0379682 | − | 0.999279i | \(-0.512089\pi\) |
−0.671409 | + | 0.741087i | \(0.734311\pi\) | |||||||
\(68\) | 3.72150e7 | − | 6.44582e7i | 0.211070 | − | 0.365585i | ||||
\(69\) | −1.36693e7 | − | 2.36759e7i | −0.0725980 | − | 0.125743i | ||||
\(70\) | −122134. | − | 692654.i | −0.000607987 | − | 0.00344806i | ||||
\(71\) | −1.56035e6 | − | 1.30929e6i | −0.00728719 | − | 0.00611468i | 0.639137 | − | 0.769093i | \(-0.279292\pi\) |
−0.646424 | + | 0.762978i | \(0.723736\pi\) | |||||||
\(72\) | 4.98919e7 | − | 4.18643e7i | 0.218793 | − | 0.183589i | ||||
\(73\) | 2.14505e7 | − | 1.21652e8i | 0.0884064 | − | 0.501378i | −0.908163 | − | 0.418617i | \(-0.862515\pi\) |
0.996569 | − | 0.0827609i | \(-0.0263738\pi\) | |||||||
\(74\) | 4.21162e7 | − | 1.53290e7i | 0.163270 | − | 0.0594254i | ||||
\(75\) | 5.25710e7 | 0.191854 | ||||||||
\(76\) | −1.69012e7 | − | 1.44437e8i | −0.0581106 | − | 0.496612i | ||||
\(77\) | 855466. | 0.00277328 | ||||||||
\(78\) | 7.31131e7 | − | 2.66110e7i | 0.223650 | − | 0.0814021i | ||||
\(79\) | 4.73359e7 | − | 2.68455e8i | 0.136731 | − | 0.775443i | −0.836907 | − | 0.547345i | \(-0.815638\pi\) |
0.973638 | − | 0.228097i | \(-0.0732504\pi\) | |||||||
\(80\) | 8.41254e7 | − | 7.05896e7i | 0.229627 | − | 0.192680i | ||||
\(81\) | 1.36651e8 | + | 1.14664e8i | 0.352721 | + | 0.295968i | ||||
\(82\) | 4.33611e7 | + | 2.45913e8i | 0.105910 | + | 0.600646i | ||||
\(83\) | 3.09912e8 | + | 5.36783e8i | 0.716781 | + | 1.24150i | 0.962268 | + | 0.272102i | \(0.0877188\pi\) |
−0.245487 | + | 0.969400i | \(0.578948\pi\) | |||||||
\(84\) | −206509. | + | 357684.i | −0.000452567 | + | 0.000783868i | ||||
\(85\) | 4.57812e8 | + | 1.66630e8i | 0.951265 | + | 0.346232i | ||||
\(86\) | 2.73234e7 | + | 9.94489e6i | 0.0538631 | + | 0.0196046i | ||||
\(87\) | 6.37322e7 | − | 1.10387e8i | 0.119267 | − | 0.206577i | ||||
\(88\) | 6.67853e7 | + | 1.15676e8i | 0.118716 | + | 0.205622i | ||||
\(89\) | −4.30242e7 | − | 2.44003e8i | −0.0726872 | − | 0.412230i | −0.999340 | − | 0.0363126i | \(-0.988439\pi\) |
0.926653 | − | 0.375917i | \(-0.122672\pi\) | |||||||
\(90\) | 3.26576e8 | + | 2.74029e8i | 0.524678 | + | 0.440257i | ||||
\(91\) | 1.58898e6 | − | 1.33331e6i | 0.00242902 | − | 0.00203819i | ||||
\(92\) | 1.97610e7 | − | 1.12070e8i | 0.0287583 | − | 0.163096i | ||||
\(93\) | −3.23534e7 | + | 1.17757e7i | −0.0448483 | + | 0.0163235i | ||||
\(94\) | −6.52458e8 | −0.861940 | ||||||||
\(95\) | 9.11861e8 | − | 2.73122e8i | 1.14861 | − | 0.344033i | ||||
\(96\) | −6.44878e7 | −0.0774920 | ||||||||
\(97\) | 1.29307e9 | − | 4.70640e8i | 1.48303 | − | 0.539780i | 0.531427 | − | 0.847104i | \(-0.321656\pi\) |
0.951605 | + | 0.307324i | \(0.0994337\pi\) | |||||||
\(98\) | 1.12115e8 | − | 6.35838e8i | 0.122786 | − | 0.696352i | ||||
\(99\) | −3.97211e8 | + | 3.33300e8i | −0.415588 | + | 0.348720i | ||||
\(100\) | 1.67634e8 | + | 1.40662e8i | 0.167634 | + | 0.140662i | ||||
\(101\) | −1.28205e8 | − | 7.27085e8i | −0.122591 | − | 0.695247i | −0.982710 | − | 0.185153i | \(-0.940722\pi\) |
0.860119 | − | 0.510094i | \(-0.170389\pi\) | |||||||
\(102\) | −1.43046e8 | − | 2.47763e8i | −0.130850 | − | 0.226639i | ||||
\(103\) | −5.43629e8 | + | 9.41593e8i | −0.475921 | + | 0.824319i | −0.999619 | − | 0.0275843i | \(-0.991219\pi\) |
0.523698 | + | 0.851904i | \(0.324552\pi\) | |||||||
\(104\) | 3.04339e8 | + | 1.10770e8i | 0.255098 | + | 0.0928482i | ||||
\(105\) | −2.54044e6 | − | 924643.i | −0.00203965 | − | 0.000742373i | ||||
\(106\) | −4.35634e8 | + | 7.54541e8i | −0.335155 | + | 0.580506i | ||||
\(107\) | −7.22970e8 | − | 1.25222e9i | −0.533204 | − | 0.923536i | −0.999248 | − | 0.0387744i | \(-0.987655\pi\) |
0.466044 | − | 0.884761i | \(-0.345679\pi\) | |||||||
\(108\) | −9.72834e7 | − | 5.51722e8i | −0.0688069 | − | 0.390223i | ||||
\(109\) | −4.60761e8 | − | 3.86624e8i | −0.312649 | − | 0.262343i | 0.472937 | − | 0.881096i | \(-0.343194\pi\) |
−0.785586 | + | 0.618753i | \(0.787638\pi\) | |||||||
\(110\) | −6.69758e8 | + | 5.61994e8i | −0.436165 | + | 0.365986i | ||||
\(111\) | 2.99151e7 | − | 1.69657e8i | 0.0187041 | − | 0.106076i | ||||
\(112\) | −1.61554e6 | + | 588008.i | −0.000970144 | + | 0.000353104i | ||||
\(113\) | −1.96043e9 | −1.13110 | −0.565548 | − | 0.824715i | \(-0.691335\pi\) | ||||
−0.565548 | + | 0.824715i | \(0.691335\pi\) | |||||||
\(114\) | −5.13284e8 | − | 2.21330e8i | −0.284633 | − | 0.122735i | ||||
\(115\) | 7.44889e8 | 0.397147 | ||||||||
\(116\) | 4.98582e8 | − | 1.81469e8i | 0.255668 | − | 0.0930555i | ||||
\(117\) | −2.18323e8 | + | 1.23817e9i | −0.107712 | + | 0.610863i | ||||
\(118\) | −1.92226e9 | + | 1.61296e9i | −0.912729 | + | 0.765871i | ||||
\(119\) | −5.84270e6 | − | 4.90260e6i | −0.00267087 | − | 0.00224112i | ||||
\(120\) | −7.32995e7 | − | 4.15702e8i | −0.0322690 | − | 0.183007i | ||||
\(121\) | 6.47268e8 | + | 1.12110e9i | 0.274505 | + | 0.475456i | ||||
\(122\) | −1.26143e9 | + | 2.18487e9i | −0.515519 | + | 0.892905i | ||||
\(123\) | 9.01930e8 | + | 3.28276e8i | 0.355304 | + | 0.129320i | ||||
\(124\) | −1.34673e8 | − | 4.90171e7i | −0.0511546 | − | 0.0186187i | ||||
\(125\) | 9.20219e8 | − | 1.59387e9i | 0.337129 | − | 0.583925i | ||||
\(126\) | −3.33702e6 | − | 5.77988e6i | −0.00117948 | − | 0.00204292i | ||||
\(127\) | −3.13580e8 | − | 1.77840e9i | −0.106962 | − | 0.606614i | −0.990418 | − | 0.138100i | \(-0.955900\pi\) |
0.883456 | − | 0.468515i | \(-0.155211\pi\) | |||||||
\(128\) | −2.05633e8 | − | 1.72547e8i | −0.0677094 | − | 0.0568149i | ||||
\(129\) | 8.56170e7 | − | 7.18412e7i | 0.0272211 | − | 0.0228412i | ||||
\(130\) | −3.68125e8 | + | 2.08774e9i | −0.113045 | + | 0.641109i | ||||
\(131\) | 1.64965e9 | − | 6.00424e8i | 0.489408 | − | 0.178130i | −0.0855159 | − | 0.996337i | \(-0.527254\pi\) |
0.574924 | + | 0.818207i | \(0.305032\pi\) | |||||||
\(132\) | 5.13415e8 | 0.147192 | ||||||||
\(133\) | −1.48768e7 | − | 864549.i | −0.00412267 | − | 0.000239584i | ||||
\(134\) | −1.99227e9 | −0.533798 | ||||||||
\(135\) | 3.44594e9 | − | 1.25422e9i | 0.892906 | − | 0.324991i | ||||
\(136\) | 2.06794e8 | − | 1.17279e9i | 0.0518338 | − | 0.293964i | ||||
\(137\) | −3.38412e9 | + | 2.83961e9i | −0.820735 | + | 0.688679i | −0.953144 | − | 0.302517i | \(-0.902173\pi\) |
0.132409 | + | 0.991195i | \(0.457729\pi\) | |||||||
\(138\) | −3.35081e8 | − | 2.81166e8i | −0.0786491 | − | 0.0659944i | ||||
\(139\) | −3.65663e8 | − | 2.07378e9i | −0.0830835 | − | 0.471190i | −0.997754 | − | 0.0669891i | \(-0.978661\pi\) |
0.914670 | − | 0.404201i | \(-0.132450\pi\) | |||||||
\(140\) | −5.62672e6 | − | 9.74576e6i | −0.00123788 | − | 0.00214407i | ||||
\(141\) | −1.25395e9 | + | 2.17190e9i | −0.267174 | + | 0.462758i | ||||
\(142\) | −3.06249e7 | − | 1.11465e7i | −0.00632087 | − | 0.00230061i | ||||
\(143\) | −2.42297e9 | − | 8.81890e8i | −0.484548 | − | 0.176361i | ||||
\(144\) | 5.21034e8 | − | 9.02458e8i | 0.100980 | − | 0.174902i | ||||
\(145\) | 1.73650e9 | + | 3.00770e9i | 0.326226 | + | 0.565040i | ||||
\(146\) | −3.43207e8 | − | 1.94643e9i | −0.0625128 | − | 0.354527i | ||||
\(147\) | −1.90111e9 | − | 1.59522e9i | −0.335798 | − | 0.281768i | ||||
\(148\) | 5.49335e8 | − | 4.60947e8i | 0.0941152 | − | 0.0789720i | ||||
\(149\) | −5.52432e8 | + | 3.13300e9i | −0.0918208 | + | 0.520741i | 0.903855 | + | 0.427840i | \(0.140725\pi\) |
−0.995675 | + | 0.0929015i | \(0.970386\pi\) | |||||||
\(150\) | 7.90409e8 | − | 2.87685e8i | 0.127480 | − | 0.0463988i | ||||
\(151\) | −6.56833e9 | −1.02816 | −0.514078 | − | 0.857744i | \(-0.671866\pi\) | ||||
−0.514078 | + | 0.857744i | \(0.671866\pi\) | |||||||
\(152\) | −1.04452e9 | − | 2.07913e9i | −0.158715 | − | 0.315926i | ||||
\(153\) | 4.62300e9 | 0.682044 | ||||||||
\(154\) | 1.28620e7 | − | 4.68138e6i | 0.00184274 | − | 0.000670704i | ||||
\(155\) | 1.62900e8 | − | 9.23849e8i | 0.0226687 | − | 0.128561i | ||||
\(156\) | 9.53638e8 | − | 8.00197e8i | 0.128921 | − | 0.108177i | ||||
\(157\) | 1.47279e9 | + | 1.23582e9i | 0.193461 | + | 0.162333i | 0.734373 | − | 0.678746i | \(-0.237476\pi\) |
−0.540912 | + | 0.841079i | \(0.681921\pi\) | |||||||
\(158\) | −7.57374e8 | − | 4.29528e9i | −0.0966837 | − | 0.548321i | ||||
\(159\) | 1.67448e9 | + | 2.90028e9i | 0.207775 | + | 0.359876i | ||||
\(160\) | 8.78543e8 | − | 1.52168e9i | 0.105980 | − | 0.183562i | ||||
\(161\) | −1.09581e7 | − | 3.98843e6i | −0.00128534 | − | 0.000467827i | ||||
\(162\) | 2.68204e9 | + | 9.76184e8i | 0.305948 | + | 0.111356i | ||||
\(163\) | 5.18875e9 | − | 8.98717e9i | 0.575729 | − | 0.997192i | −0.420233 | − | 0.907416i | \(-0.638052\pi\) |
0.995962 | − | 0.0897760i | \(-0.0286151\pi\) | |||||||
\(164\) | 1.99765e9 | + | 3.46003e9i | 0.215637 | + | 0.373493i | ||||
\(165\) | 5.83569e8 | + | 3.30958e9i | 0.0612935 | + | 0.347612i | ||||
\(166\) | 7.59700e9 | + | 6.37464e9i | 0.776526 | + | 0.651582i | ||||
\(167\) | 4.70146e9 | − | 3.94499e9i | 0.467744 | − | 0.392484i | −0.378227 | − | 0.925713i | \(-0.623466\pi\) |
0.845971 | + | 0.533229i | \(0.179022\pi\) | |||||||
\(168\) | −1.14752e6 | + | 6.50790e6i | −0.000111139 | + | 0.000630302i | ||||
\(169\) | 4.08994e9 | − | 1.48862e9i | 0.385680 | − | 0.140376i | ||||
\(170\) | 7.79509e9 | 0.715815 | ||||||||
\(171\) | 7.24448e9 | − | 5.39477e9i | 0.647925 | − | 0.482492i | ||||
\(172\) | 4.65231e8 | 0.0405313 | ||||||||
\(173\) | −1.16236e10 | + | 4.23064e9i | −0.986581 | + | 0.359086i | −0.784395 | − | 0.620261i | \(-0.787027\pi\) |
−0.202185 | + | 0.979347i | \(0.564804\pi\) | |||||||
\(174\) | 3.54143e8 | − | 2.00845e9i | 0.0292892 | − | 0.166107i | ||||
\(175\) | 1.71781e7 | − | 1.44141e7i | 0.00138453 | − | 0.00116176i | ||||
\(176\) | 1.63714e9 | + | 1.37372e9i | 0.128611 | + | 0.107917i | ||||
\(177\) | 1.67488e9 | + | 9.49874e9i | 0.128264 | + | 0.727422i | ||||
\(178\) | −1.98213e9 | − | 3.43316e9i | −0.147994 | − | 0.256332i | ||||
\(179\) | 2.48419e9 | − | 4.30275e9i | 0.180862 | − | 0.313262i | −0.761313 | − | 0.648385i | \(-0.775445\pi\) |
0.942174 | + | 0.335123i | \(0.108778\pi\) | |||||||
\(180\) | 6.40967e9 | + | 2.33293e9i | 0.455103 | + | 0.165644i | ||||
\(181\) | −1.92031e10 | − | 6.98934e9i | −1.32989 | − | 0.484042i | −0.423278 | − | 0.906000i | \(-0.639121\pi\) |
−0.906615 | + | 0.421958i | \(0.861343\pi\) | |||||||
\(182\) | 1.65941e7 | − | 2.87418e7i | 0.00112107 | − | 0.00194175i | ||||
\(183\) | 4.84866e9 | + | 8.39812e9i | 0.319589 | + | 0.553544i | ||||
\(184\) | −3.16175e8 | − | 1.79312e9i | −0.0203352 | − | 0.115327i | ||||
\(185\) | 3.59576e9 | + | 3.01720e9i | 0.225693 | + | 0.189379i | ||||
\(186\) | −4.21995e8 | + | 3.54096e8i | −0.0258523 | + | 0.0216927i | ||||
\(187\) | −1.64637e9 | + | 9.33705e9i | −0.0984558 | + | 0.558371i | ||||
\(188\) | −9.80975e9 | + | 3.57046e9i | −0.572727 | + | 0.208456i | ||||
\(189\) | −5.74091e7 | −0.00327267 | ||||||||
\(190\) | 1.22153e10 | − | 9.09640e9i | 0.680006 | − | 0.506382i | ||||
\(191\) | 4.46855e9 | 0.242950 | 0.121475 | − | 0.992595i | \(-0.461238\pi\) | ||||
0.121475 | + | 0.992595i | \(0.461238\pi\) | |||||||
\(192\) | −9.69579e8 | + | 3.52898e8i | −0.0514906 | + | 0.0187410i | ||||
\(193\) | −1.97541e9 | + | 1.12031e10i | −0.102483 | + | 0.581208i | 0.889713 | + | 0.456520i | \(0.150904\pi\) |
−0.992196 | + | 0.124688i | \(0.960207\pi\) | |||||||
\(194\) | 1.68660e10 | − | 1.41522e10i | 0.854877 | − | 0.717327i | ||||
\(195\) | 6.24219e9 | + | 5.23782e9i | 0.309158 | + | 0.259415i | ||||
\(196\) | −1.79385e9 | − | 1.01734e10i | −0.0868226 | − | 0.492395i | ||||
\(197\) | −1.67566e10 | − | 2.90232e10i | −0.792660 | − | 1.37293i | −0.924314 | − | 0.381632i | \(-0.875362\pi\) |
0.131654 | − | 0.991296i | \(-0.457971\pi\) | |||||||
\(198\) | −4.14818e9 | + | 7.18485e9i | −0.191807 | + | 0.332219i | ||||
\(199\) | −1.73492e10 | − | 6.31458e9i | −0.784224 | − | 0.285434i | −0.0812910 | − | 0.996690i | \(-0.525904\pi\) |
−0.702933 | + | 0.711256i | \(0.748127\pi\) | |||||||
\(200\) | 3.29014e9 | + | 1.19751e9i | 0.145405 | + | 0.0529231i | ||||
\(201\) | −3.82892e9 | + | 6.63188e9i | −0.165460 | + | 0.286585i | ||||
\(202\) | −5.90641e9 | − | 1.02302e10i | −0.249599 | − | 0.432318i | ||||
\(203\) | −9.44133e6 | − | 5.35444e7i | −0.000390212 | − | 0.00221300i | ||||
\(204\) | −3.50654e9 | − | 2.94234e9i | −0.141757 | − | 0.118948i | ||||
\(205\) | −2.00335e10 | + | 1.68101e10i | −0.792254 | + | 0.664780i | ||||
\(206\) | −3.02080e9 | + | 1.71318e10i | −0.116875 | + | 0.662829i | ||||
\(207\) | 6.64202e9 | − | 2.41750e9i | 0.251440 | − | 0.0915165i | ||||
\(208\) | 5.18194e9 | 0.191958 | ||||||||
\(209\) | 8.31583e9 | + | 1.65529e10i | 0.301472 | + | 0.600087i | ||||
\(210\) | −4.32556e7 | −0.00153481 | ||||||||
\(211\) | −2.73813e10 | + | 9.96598e9i | −0.951006 | + | 0.346138i | −0.770503 | − | 0.637437i | \(-0.779995\pi\) |
−0.180503 | + | 0.983574i | \(0.557773\pi\) | |||||||
\(212\) | −2.42071e9 | + | 1.37285e10i | −0.0823059 | + | 0.466780i | ||||
\(213\) | −9.59622e7 | + | 8.05218e7i | −0.00319442 | + | 0.00268044i | ||||
\(214\) | −1.77225e10 | − | 1.48709e10i | −0.577646 | − | 0.484703i | ||||
\(215\) | 5.28801e8 | + | 2.99898e9i | 0.0168779 | + | 0.0957194i | ||||
\(216\) | −4.48186e9 | − | 7.76282e9i | −0.140093 | − | 0.242648i | ||||
\(217\) | −7.34308e6 | + | 1.27186e7i | −0.000224807 | + | 0.000389377i | ||||
\(218\) | −9.04331e9 | − | 3.29150e9i | −0.271190 | − | 0.0987050i | ||||
\(219\) | −7.13887e9 | − | 2.59834e9i | −0.209716 | − | 0.0763303i | ||||
\(220\) | −6.99446e9 | + | 1.21148e10i | −0.201304 | + | 0.348668i | ||||
\(221\) | 1.14945e10 | + | 1.99090e10i | 0.324134 | + | 0.561416i | ||||
\(222\) | −4.78642e8 | − | 2.71452e9i | −0.0132258 | − | 0.0750074i | ||||
\(223\) | −4.30529e10 | − | 3.61257e10i | −1.16582 | − | 0.978238i | −0.165850 | − | 0.986151i | \(-0.553037\pi\) |
−0.999969 | + | 0.00791300i | \(0.997481\pi\) | |||||||
\(224\) | −2.10720e7 | + | 1.76815e7i | −0.000559229 | + | 0.000469249i | ||||
\(225\) | −2.36023e9 | + | 1.33856e10i | −0.0613951 | + | 0.348189i | ||||
\(226\) | −2.94753e10 | + | 1.07281e10i | −0.751571 | + | 0.273550i | ||||
\(227\) | 3.87327e10 | 0.968193 | 0.484096 | − | 0.875015i | \(-0.339148\pi\) | ||||
0.484096 | + | 0.875015i | \(0.339148\pi\) | |||||||
\(228\) | −8.92846e9 | − | 5.18866e8i | −0.218811 | − | 0.0127159i | ||||
\(229\) | −6.16514e10 | −1.48144 | −0.740719 | − | 0.671815i | \(-0.765515\pi\) | ||||
−0.740719 | + | 0.671815i | \(0.765515\pi\) | |||||||
\(230\) | 1.11995e10 | − | 4.07627e9i | 0.263889 | − | 0.0960479i | ||||
\(231\) | 9.13588e6 | − | 5.18121e7i | 0.000211104 | − | 0.00119723i | ||||
\(232\) | 6.50317e9 | − | 5.45681e9i | 0.147377 | − | 0.123664i | ||||
\(233\) | 4.24653e10 | + | 3.56326e10i | 0.943915 | + | 0.792039i | 0.978262 | − | 0.207371i | \(-0.0664908\pi\) |
−0.0343473 | + | 0.999410i | \(0.510935\pi\) | |||||||
\(234\) | 3.49316e9 | + | 1.98107e10i | 0.0761636 | + | 0.431945i | ||||
\(235\) | −3.41661e10 | − | 5.91774e10i | −0.730786 | − | 1.26576i | ||||
\(236\) | −2.00746e10 | + | 3.47702e10i | −0.421253 | + | 0.729632i | ||||
\(237\) | −1.57537e10 | − | 5.73389e9i | −0.324351 | − | 0.118054i | ||||
\(238\) | −1.14674e8 | − | 4.17379e7i | −0.00231669 | − | 0.000843208i | ||||
\(239\) | 4.11203e10 | − | 7.12224e10i | 0.815202 | − | 1.41197i | −0.0939804 | − | 0.995574i | \(-0.529959\pi\) |
0.909183 | − | 0.416398i | \(-0.136708\pi\) | |||||||
\(240\) | −3.37692e9 | − | 5.84900e9i | −0.0657007 | − | 0.113797i | ||||
\(241\) | 6.19016e9 | + | 3.51062e10i | 0.118202 | + | 0.670358i | 0.985115 | + | 0.171898i | \(0.0549898\pi\) |
−0.866913 | + | 0.498460i | \(0.833899\pi\) | |||||||
\(242\) | 1.58667e10 | + | 1.33138e10i | 0.297385 | + | 0.249535i | ||||
\(243\) | 4.14011e10 | − | 3.47396e10i | 0.761699 | − | 0.639141i | ||||
\(244\) | −7.00946e9 | + | 3.97526e10i | −0.126599 | + | 0.717978i | ||||
\(245\) | 6.35410e10 | − | 2.31270e10i | 1.12670 | − | 0.410084i | ||||
\(246\) | 1.53570e10 | 0.267362 | ||||||||
\(247\) | 4.12451e10 | + | 1.77851e10i | 0.705076 | + | 0.304032i | ||||
\(248\) | −2.29306e9 | −0.0384932 | ||||||||
\(249\) | 3.58205e10 | − | 1.30376e10i | 0.590520 | − | 0.214932i | ||||
\(250\) | 5.11342e9 | − | 2.89996e10i | 0.0827907 | − | 0.469529i | ||||
\(251\) | 4.71037e10 | − | 3.95247e10i | 0.749071 | − | 0.628545i | −0.186186 | − | 0.982515i | \(-0.559613\pi\) |
0.935257 | + | 0.353969i | \(0.115168\pi\) | |||||||
\(252\) | −8.18017e7 | − | 6.86398e7i | −0.00127779 | − | 0.00107219i | ||||
\(253\) | 2.51721e9 | + | 1.42758e10i | 0.0386257 | + | 0.219057i | ||||
\(254\) | −1.44467e10 | − | 2.50224e10i | −0.217779 | − | 0.377205i | ||||
\(255\) | 1.49813e10 | − | 2.59483e10i | 0.221880 | − | 0.384307i | ||||
\(256\) | −4.03595e9 | − | 1.46897e9i | −0.0587308 | − | 0.0213763i | ||||
\(257\) | 1.06240e11 | + | 3.86683e10i | 1.51911 | + | 0.552912i | 0.960927 | − | 0.276803i | \(-0.0892749\pi\) |
0.558187 | + | 0.829715i | \(0.311497\pi\) | |||||||
\(258\) | 8.94120e8 | − | 1.54866e9i | 0.0125634 | − | 0.0217604i | ||||
\(259\) | −3.67422e7 | − | 6.36394e7i | −0.000507360 | − | 0.000878773i | ||||
\(260\) | 5.89000e9 | + | 3.34039e10i | 0.0799347 | + | 0.453332i | ||||
\(261\) | 2.52454e10 | + | 2.11834e10i | 0.336744 | + | 0.282561i | ||||
\(262\) | 2.15169e10 | − | 1.80548e10i | 0.282114 | − | 0.236722i | ||||
\(263\) | 4.02224e9 | − | 2.28113e10i | 0.0518403 | − | 0.294001i | −0.947855 | − | 0.318703i | \(-0.896753\pi\) |
0.999695 | + | 0.0247024i | \(0.00786381\pi\) | |||||||
\(264\) | 7.71923e9 | − | 2.80957e9i | 0.0978040 | − | 0.0355977i | ||||
\(265\) | −9.12485e10 | −1.13663 | ||||||||
\(266\) | −2.28406e8 | + | 6.84123e7i | −0.00279730 | + | 0.000837851i | ||||
\(267\) | −1.52377e10 | −0.183493 | ||||||||
\(268\) | −2.99539e10 | + | 1.09023e10i | −0.354689 | + | 0.129096i | ||||
\(269\) | −2.17587e10 | + | 1.23400e11i | −0.253366 | + | 1.43691i | 0.546867 | + | 0.837220i | \(0.315820\pi\) |
−0.800233 | + | 0.599690i | \(0.795291\pi\) | |||||||
\(270\) | 4.49465e10 | − | 3.77146e10i | 0.514706 | − | 0.431889i | ||||
\(271\) | 3.94022e10 | + | 3.30624e10i | 0.443771 | + | 0.372368i | 0.837118 | − | 0.547022i | \(-0.184239\pi\) |
−0.393347 | + | 0.919390i | \(0.628683\pi\) | |||||||
\(272\) | −3.30870e9 | − | 1.87646e10i | −0.0366520 | − | 0.207864i | ||||
\(273\) | −6.37839e7 | − | 1.10477e8i | −0.000694991 | − | 0.00120376i | ||||
\(274\) | −3.53412e10 | + | 6.12128e10i | −0.378795 | + | 0.656092i | ||||
\(275\) | −2.61942e10 | − | 9.53391e9i | −0.276190 | − | 0.100525i | ||||
\(276\) | −6.57660e9 | − | 2.39369e9i | −0.0682198 | − | 0.0248300i | ||||
\(277\) | 1.73507e10 | − | 3.00523e10i | 0.177075 | − | 0.306703i | −0.763802 | − | 0.645450i | \(-0.776670\pi\) |
0.940877 | + | 0.338747i | \(0.110003\pi\) | |||||||
\(278\) | −1.68462e10 | − | 2.91784e10i | −0.169161 | − | 0.292995i | ||||
\(279\) | −1.54576e9 | − | 8.76646e9i | −0.0152730 | − | 0.0866174i | ||||
\(280\) | −1.37930e8 | − | 1.15737e8i | −0.00134106 | − | 0.00112528i | ||||
\(281\) | 3.04142e10 | − | 2.55205e10i | 0.291003 | − | 0.244181i | −0.485585 | − | 0.874190i | \(-0.661393\pi\) |
0.776588 | + | 0.630009i | \(0.216949\pi\) | |||||||
\(282\) | −6.96787e9 | + | 3.95167e10i | −0.0656114 | + | 0.372100i | ||||
\(283\) | 1.18861e11 | − | 4.32618e10i | 1.10154 | − | 0.400928i | 0.273656 | − | 0.961828i | \(-0.411767\pi\) |
0.827884 | + | 0.560900i | \(0.189545\pi\) | |||||||
\(284\) | −5.21445e8 | −0.00475638 | ||||||||
\(285\) | −6.80374e9 | − | 5.81445e10i | −0.0610866 | − | 0.522044i | ||||
\(286\) | −4.12556e10 | −0.364616 | ||||||||
\(287\) | 3.84722e8 | − | 1.40027e8i | 0.00334718 | − | 0.00121827i | ||||
\(288\) | 2.89525e9 | − | 1.64198e10i | 0.0247982 | − | 0.140638i | ||||
\(289\) | −2.60892e10 | + | 2.18914e10i | −0.219999 | + | 0.184601i | ||||
\(290\) | 4.25675e10 | + | 3.57184e10i | 0.353417 | + | 0.296552i | ||||
\(291\) | −1.46955e10 | − | 8.33425e10i | −0.120134 | − | 0.681315i | ||||
\(292\) | −1.58116e10 | − | 2.73865e10i | −0.127278 | − | 0.220452i | ||||
\(293\) | −2.40964e10 | + | 4.17362e10i | −0.191006 | + | 0.330833i | −0.945584 | − | 0.325378i | \(-0.894508\pi\) |
0.754578 | + | 0.656211i | \(0.227842\pi\) | |||||||
\(294\) | −3.73128e10 | − | 1.35808e10i | −0.291270 | − | 0.106013i | ||||
\(295\) | −2.46954e11 | − | 8.98839e10i | −1.89853 | − | 0.691008i | ||||
\(296\) | 5.73685e9 | − | 9.93651e9i | 0.0434371 | − | 0.0752352i | ||||
\(297\) | 3.56820e10 | + | 6.18031e10i | 0.266100 | + | 0.460899i | ||||
\(298\) | 8.83892e9 | + | 5.01280e10i | 0.0649271 | + | 0.368220i | ||||
\(299\) | 2.69255e10 | + | 2.25932e10i | 0.194825 | + | 0.163477i | ||||
\(300\) | 1.03096e10 | − | 8.65074e9i | 0.0734842 | − | 0.0616606i | ||||
\(301\) | 8.27848e6 | − | 4.69496e7i | 5.81301e−5 | − | 0.000329672i | ||||
\(302\) | −9.87554e10 | + | 3.59440e10i | −0.683171 | + | 0.248654i | ||||
\(303\) | −4.54058e10 | −0.309471 | ||||||||
\(304\) | −2.70821e10 | − | 2.55440e10i | −0.181866 | − | 0.171537i | ||||
\(305\) | −2.64221e11 | −1.74831 | ||||||||
\(306\) | 6.95072e10 | − | 2.52986e10i | 0.453193 | − | 0.164949i | ||||
\(307\) | 1.46529e10 | − | 8.31005e10i | 0.0941455 | − | 0.533926i | −0.900860 | − | 0.434109i | \(-0.857063\pi\) |
0.995006 | − | 0.0998167i | \(-0.0318256\pi\) | |||||||
\(308\) | 1.67763e8 | − | 1.40770e8i | 0.00106223 | − | 0.000891316i | ||||
\(309\) | 5.12229e10 | + | 4.29811e10i | 0.319632 | + | 0.268203i | ||||
\(310\) | −2.60639e9 | − | 1.47816e10i | −0.0160292 | − | 0.0909062i | ||||
\(311\) | 1.22012e11 | + | 2.11330e11i | 0.739570 | + | 1.28097i | 0.952689 | + | 0.303947i | \(0.0983046\pi\) |
−0.213119 | + | 0.977026i | \(0.568362\pi\) | |||||||
\(312\) | 9.95909e9 | − | 1.72496e10i | 0.0595009 | − | 0.103059i | ||||
\(313\) | −2.16929e11 | − | 7.89556e10i | −1.27752 | − | 0.464979i | −0.387908 | − | 0.921698i | \(-0.626802\pi\) |
−0.889611 | + | 0.456719i | \(0.849024\pi\) | |||||||
\(314\) | 2.89064e10 | + | 1.05211e10i | 0.167807 | + | 0.0610768i | ||||
\(315\) | 3.49487e8 | − | 6.05330e8i | 0.00200002 | − | 0.00346413i | ||||
\(316\) | −3.48923e10 | − | 6.04353e10i | −0.196851 | − | 0.340956i | ||||
\(317\) | 4.86638e10 | + | 2.75986e11i | 0.270669 | + | 1.53504i | 0.752390 | + | 0.658718i | \(0.228901\pi\) |
−0.481721 | + | 0.876325i | \(0.659988\pi\) | |||||||
\(318\) | 4.10472e10 | + | 3.44427e10i | 0.225093 | + | 0.188875i | ||||
\(319\) | −5.17745e10 | + | 4.34440e10i | −0.279935 | + | 0.234894i | ||||
\(320\) | 4.88184e9 | − | 2.76863e10i | 0.0260261 | − | 0.147601i | ||||
\(321\) | −8.35629e10 | + | 3.04144e10i | −0.439279 | + | 0.159885i | ||||
\(322\) | −1.86582e8 | −0.000967205 | ||||||||
\(323\) | 3.80672e10 | − | 1.60711e11i | 0.194599 | − | 0.821549i | ||||
\(324\) | 4.56667e10 | 0.230222 | ||||||||
\(325\) | −6.35135e10 | + | 2.31170e10i | −0.315785 | + | 0.114936i | ||||
\(326\) | 2.88325e10 | − | 1.63517e11i | 0.141385 | − | 0.801835i | ||||
\(327\) | −2.83370e10 | + | 2.37775e10i | −0.137053 | + | 0.115001i | ||||
\(328\) | 4.89693e10 | + | 4.10901e10i | 0.233610 | + | 0.196022i | ||||
\(329\) | 1.85761e8 | + | 1.05350e9i | 0.000874123 | + | 0.00495740i | ||||
\(330\) | 2.68851e10 | + | 4.65664e10i | 0.124795 | + | 0.216152i | ||||
\(331\) | −1.50680e11 | + | 2.60985e11i | −0.689967 | + | 1.19506i | 0.281880 | + | 0.959450i | \(0.409042\pi\) |
−0.971848 | + | 0.235609i | \(0.924291\pi\) | |||||||
\(332\) | 1.49106e11 | + | 5.42700e10i | 0.673554 | + | 0.245154i | ||||
\(333\) | 4.18548e10 | + | 1.52339e10i | 0.186529 | + | 0.0678910i | ||||
\(334\) | 4.90985e10 | − | 8.50412e10i | 0.215879 | − | 0.373913i | ||||
\(335\) | −1.04326e11 | − | 1.80698e11i | −0.452574 | − | 0.783882i | ||||
\(336\) | 1.83603e7 | + | 1.04126e8i | 7.85874e−5 | + | 0.000445691i | ||||
\(337\) | −1.89621e11 | − | 1.59111e11i | −0.800851 | − | 0.671994i | 0.147554 | − | 0.989054i | \(-0.452860\pi\) |
−0.948405 | + | 0.317060i | \(0.897304\pi\) | |||||||
\(338\) | 5.33464e10 | − | 4.47630e10i | 0.222321 | − | 0.186549i | ||||
\(339\) | −2.09363e10 | + | 1.18736e11i | −0.0860997 | + | 0.488295i | ||||
\(340\) | 1.17200e11 | − | 4.26572e10i | 0.475633 | − | 0.173116i | ||||
\(341\) | 1.82561e10 | 0.0731160 | ||||||||
\(342\) | 7.93994e10 | − | 1.20755e11i | 0.313834 | − | 0.477295i | ||||
\(343\) | −2.11719e9 | −0.00825918 | ||||||||
\(344\) | 6.99478e9 | − | 2.54589e9i | 0.0269315 | − | 0.00980228i | ||||
\(345\) | 7.95498e9 | − | 4.51149e10i | 0.0302310 | − | 0.171449i | ||||
\(346\) | −1.51610e11 | + | 1.27216e11i | −0.568703 | + | 0.477199i | ||||
\(347\) | 1.25316e11 | + | 1.05152e11i | 0.464005 | + | 0.389347i | 0.844602 | − | 0.535394i | \(-0.179837\pi\) |
−0.380597 | + | 0.924741i | \(0.624281\pi\) | |||||||
\(348\) | −5.66629e9 | − | 3.21351e10i | −0.0207106 | − | 0.117456i | ||||
\(349\) | 1.09349e11 | + | 1.89398e11i | 0.394548 | + | 0.683377i | 0.993043 | − | 0.117749i | \(-0.0375680\pi\) |
−0.598496 | + | 0.801126i | \(0.704235\pi\) | |||||||
\(350\) | 1.79395e8 | − | 3.10721e8i | 0.000639004 | − | 0.00110679i | ||||
\(351\) | 1.62602e11 | + | 5.91824e10i | 0.571801 | + | 0.208118i | ||||
\(352\) | 3.21319e10 | + | 1.16951e10i | 0.111556 | + | 0.0406032i | ||||
\(353\) | 1.56760e11 | − | 2.71516e11i | 0.537340 | − | 0.930700i | −0.461706 | − | 0.887033i | \(-0.652762\pi\) |
0.999046 | − | 0.0436674i | \(-0.0139042\pi\) | |||||||
\(354\) | 7.71622e10 | + | 1.33649e11i | 0.261150 | + | 0.452325i | ||||
\(355\) | −5.92696e8 | − | 3.36135e9i | −0.00198064 | − | 0.0112327i | ||||
\(356\) | −4.85889e10 | − | 4.07709e10i | −0.160329 | − | 0.134532i | ||||
\(357\) | −3.59328e8 | + | 3.01512e8i | −0.00117080 | + | 0.000982420i | ||||
\(358\) | 1.38040e10 | − | 7.82865e10i | 0.0444152 | − | 0.251891i | ||||
\(359\) | 1.01482e11 | − | 3.69364e10i | 0.322451 | − | 0.117362i | −0.175723 | − | 0.984440i | \(-0.556226\pi\) |
0.498174 | + | 0.867077i | \(0.334004\pi\) | |||||||
\(360\) | 1.09136e11 | 0.342459 | ||||||||
\(361\) | −1.27887e11 | − | 2.96264e11i | −0.396317 | − | 0.918114i | ||||
\(362\) | −3.26968e11 | −1.00073 | ||||||||
\(363\) | 7.48130e10 | − | 2.72297e10i | 0.226150 | − | 0.0823120i | ||||
\(364\) | 9.22091e7 | − | 5.22944e8i | 0.000275307 | − | 0.00156135i | ||||
\(365\) | 1.58567e11 | − | 1.33054e11i | 0.467623 | − | 0.392382i | ||||
\(366\) | 1.18857e11 | + | 9.97330e10i | 0.346227 | + | 0.290519i | ||||
\(367\) | 6.05669e10 | + | 3.43492e11i | 0.174276 | + | 0.988369i | 0.938976 | + | 0.343982i | \(0.111776\pi\) |
−0.764700 | + | 0.644386i | \(0.777113\pi\) | |||||||
\(368\) | −1.45663e10 | − | 2.52295e10i | −0.0414031 | − | 0.0717123i | ||||
\(369\) | −1.24078e11 | + | 2.14910e11i | −0.348399 | + | 0.603446i | ||||
\(370\) | 7.05736e10 | + | 2.56867e10i | 0.195765 | + | 0.0712526i | ||||
\(371\) | 1.34236e9 | + | 4.88580e8i | 0.00367864 | + | 0.00133892i | ||||
\(372\) | −4.40701e9 | + | 7.63316e9i | −0.0119316 | + | 0.0206662i | ||||
\(373\) | −1.82441e11 | − | 3.15998e11i | −0.488015 | − | 0.845267i | 0.511890 | − | 0.859051i | \(-0.328946\pi\) |
−0.999905 | + | 0.0137838i | \(0.995612\pi\) | |||||||
\(374\) | 2.63420e10 | + | 1.49393e11i | 0.0696188 | + | 0.394828i | ||||
\(375\) | −8.67067e10 | − | 7.27556e10i | −0.226419 | − | 0.189988i | ||||
\(376\) | −1.27952e11 | + | 1.07364e11i | −0.330142 | + | 0.277022i | ||||
\(377\) | −2.84573e10 | + | 1.61389e11i | −0.0725533 | + | 0.411470i | ||||
\(378\) | −8.63150e8 | + | 3.14161e8i | −0.00217457 | + | 0.000791478i | ||||
\(379\) | 1.49237e11 | 0.371534 | 0.185767 | − | 0.982594i | \(-0.440523\pi\) | ||||
0.185767 | + | 0.982594i | \(0.440523\pi\) | |||||||
\(380\) | 1.33879e11 | − | 2.03611e11i | 0.329373 | − | 0.500928i | ||||
\(381\) | −1.11059e11 | −0.270018 | ||||||||
\(382\) | 6.71850e10 | − | 2.44533e10i | 0.161431 | − | 0.0587561i | ||||
\(383\) | 4.56507e10 | − | 2.58898e11i | 0.108406 | − | 0.614800i | −0.881399 | − | 0.472372i | \(-0.843398\pi\) |
0.989805 | − | 0.142428i | \(-0.0454910\pi\) | |||||||
\(384\) | −1.26465e10 | + | 1.06117e10i | −0.0296812 | + | 0.0249054i | ||||
\(385\) | 1.09812e9 | + | 9.21432e8i | 0.00254728 | + | 0.00213742i | ||||
\(386\) | 3.16066e10 | + | 1.79250e11i | 0.0724661 | + | 0.410976i | ||||
\(387\) | 1.44482e10 | + | 2.50251e10i | 0.0327428 | + | 0.0567122i | ||||
\(388\) | 1.76136e11 | − | 3.05076e11i | 0.394552 | − | 0.683385i | ||||
\(389\) | 4.50220e11 | + | 1.63867e11i | 0.996900 | + | 0.362842i | 0.788388 | − | 0.615178i | \(-0.210916\pi\) |
0.208512 | + | 0.978020i | \(0.433138\pi\) | |||||||
\(390\) | 1.22515e11 | + | 4.45918e10i | 0.268162 | + | 0.0976031i | ||||
\(391\) | 6.46213e10 | − | 1.11927e11i | 0.139824 | − | 0.242181i | ||||
\(392\) | −8.26428e10 | − | 1.43141e11i | −0.176774 | − | 0.306181i | ||||
\(393\) | −1.87480e10 | − | 1.06325e11i | −0.0396449 | − | 0.224837i | ||||
\(394\) | −4.10761e11 | − | 3.44669e11i | −0.858729 | − | 0.720559i | ||||
\(395\) | 3.49919e11 | − | 2.93617e11i | 0.723237 | − | 0.606868i | ||||
\(396\) | −2.30503e10 | + | 1.30725e11i | −0.0471031 | + | 0.267135i | ||||
\(397\) | 5.51906e11 | − | 2.00877e11i | 1.11508 | − | 0.405858i | 0.282229 | − | 0.959347i | \(-0.408926\pi\) |
0.832856 | + | 0.553490i | \(0.186704\pi\) | |||||||
\(398\) | −2.95402e11 | −0.590118 | ||||||||
\(399\) | −2.11238e8 | + | 8.91798e8i | −0.000417249 | + | 0.00176152i | ||||
\(400\) | 5.60207e10 | 0.109415 | ||||||||
\(401\) | 2.56705e11 | − | 9.34329e10i | 0.495775 | − | 0.180447i | −0.0820180 | − | 0.996631i | \(-0.526137\pi\) |
0.577793 | + | 0.816184i | \(0.303914\pi\) | |||||||
\(402\) | −2.12763e10 | + | 1.20664e11i | −0.0406330 | + | 0.230441i | ||||
\(403\) | 3.39096e10 | − | 2.84535e10i | 0.0640397 | − | 0.0537357i | ||||
\(404\) | −1.44786e11 | − | 1.21490e11i | −0.270403 | − | 0.226895i | ||||
\(405\) | 5.19067e10 | + | 2.94378e11i | 0.0958685 | + | 0.543697i | ||||
\(406\) | −4.34964e8 | − | 7.53379e8i | −0.000794485 | − | 0.00137609i | ||||
\(407\) | −4.56735e10 | + | 7.91088e10i | −0.0825067 | + | 0.142906i | ||||
\(408\) | −6.88226e10 | − | 2.50494e10i | −0.122959 | − | 0.0447534i | ||||
\(409\) | 2.08652e11 | + | 7.59431e10i | 0.368695 | + | 0.134194i | 0.519722 | − | 0.854336i | \(-0.326036\pi\) |
−0.151027 | + | 0.988530i | \(0.548258\pi\) | |||||||
\(410\) | −2.09215e11 | + | 3.62371e11i | −0.365650 | + | 0.633324i | ||||
\(411\) | 1.35844e11 | + | 2.35288e11i | 0.234829 | + | 0.406735i | ||||
\(412\) | 4.83329e10 | + | 2.74109e11i | 0.0826428 | + | 0.468691i | ||||
\(413\) | 3.15169e9 | + | 2.64458e9i | 0.00533050 | + | 0.00447282i | ||||
\(414\) | 8.66340e10 | − | 7.26946e10i | 0.144940 | − | 0.121619i | ||||
\(415\) | −1.80356e11 | + | 1.02285e12i | −0.298480 | + | 1.69276i | ||||
\(416\) | 7.79108e10 | − | 2.83572e10i | 0.127549 | − | 0.0464241i | ||||
\(417\) | −1.29506e11 | −0.209738 | ||||||||
\(418\) | 2.15612e11 | + | 2.03367e11i | 0.345445 | + | 0.325826i | ||||
\(419\) | −8.05265e11 | −1.27637 | −0.638184 | − | 0.769884i | \(-0.720314\pi\) | ||||
−0.638184 | + | 0.769884i | \(0.720314\pi\) | |||||||
\(420\) | −6.50352e8 | + | 2.36709e8i | −0.00101983 | + | 0.000371187i | ||||
\(421\) | 1.73524e10 | − | 9.84103e10i | 0.0269209 | − | 0.152676i | −0.968384 | − | 0.249464i | \(-0.919746\pi\) |
0.995305 | + | 0.0967876i | \(0.0308568\pi\) | |||||||
\(422\) | −3.57143e11 | + | 2.99679e11i | −0.548196 | + | 0.459991i | ||||
\(423\) | −4.96710e11 | − | 4.16789e11i | −0.754347 | − | 0.632972i | ||||
\(424\) | 3.87313e10 | + | 2.19656e11i | 0.0581991 | + | 0.330063i | ||||
\(425\) | 1.24264e11 | + | 2.15232e11i | 0.184755 | + | 0.320005i | ||||
\(426\) | −1.00216e9 | + | 1.73579e9i | −0.00147432 | + | 0.00255360i | ||||
\(427\) | 3.88697e9 | + | 1.41474e9i | 0.00565830 | + | 0.00205945i | ||||
\(428\) | −3.47837e11 | − | 1.26602e11i | −0.501048 | − | 0.182366i | ||||
\(429\) | −7.92885e10 | + | 1.37332e11i | −0.113019 | + | 0.195755i | ||||
\(430\) | 2.43619e10 | + | 4.21961e10i | 0.0343640 | + | 0.0595202i | ||||
\(431\) | −4.78240e10 | − | 2.71223e11i | −0.0667572 | − | 0.378599i | −0.999822 | − | 0.0188895i | \(-0.993987\pi\) |
0.933064 | − | 0.359709i | \(-0.117124\pi\) | |||||||
\(432\) | −1.09866e11 | − | 9.21884e10i | −0.151770 | − | 0.127350i | ||||
\(433\) | 7.17243e11 | − | 6.01838e11i | 0.980552 | − | 0.822781i | −0.00362043 | − | 0.999993i | \(-0.501152\pi\) |
0.984173 | + | 0.177212i | \(0.0567080\pi\) | |||||||
\(434\) | −4.08036e7 | + | 2.31409e8i | −5.52070e−5 | + | 0.000313095i | ||||
\(435\) | 2.00709e11 | − | 7.30523e10i | 0.268761 | − | 0.0978210i | ||||
\(436\) | −1.53979e11 | −0.204067 | ||||||||
\(437\) | −2.93477e10 | − | 2.50805e11i | −0.0384953 | − | 0.328980i | ||||
\(438\) | −1.21552e11 | −0.157808 | ||||||||
\(439\) | −1.36514e12 | + | 4.96871e11i | −1.75423 | + | 0.638489i | −0.999839 | − | 0.0179317i | \(-0.994292\pi\) |
−0.754395 | + | 0.656421i | \(0.772070\pi\) | |||||||
\(440\) | −3.88664e10 | + | 2.20422e11i | −0.0494353 | + | 0.280362i | ||||
\(441\) | 4.91525e11 | − | 4.12438e11i | 0.618831 | − | 0.519260i | ||||
\(442\) | 2.81769e11 | + | 2.36432e11i | 0.351151 | + | 0.294650i | ||||
\(443\) | −5.72133e10 | − | 3.24473e11i | −0.0705797 | − | 0.400278i | −0.999546 | − | 0.0301143i | \(-0.990413\pi\) |
0.928967 | − | 0.370163i | \(-0.120698\pi\) | |||||||
\(444\) | −2.20511e10 | − | 3.81937e10i | −0.0269282 | − | 0.0466410i | ||||
\(445\) | 2.07590e11 | − | 3.59556e11i | 0.250949 | − | 0.434657i | ||||
\(446\) | −8.44996e11 | − | 3.07553e11i | −1.01123 | − | 0.368056i | ||||
\(447\) | 1.83854e11 | + | 6.69172e10i | 0.217815 | + | 0.0792783i | ||||
\(448\) | −2.20060e8 | + | 3.81156e8i | −0.000258102 | + | 0.000447045i | ||||
\(449\) | −2.28767e11 | − | 3.96236e11i | −0.265634 | − | 0.460092i | 0.702095 | − | 0.712083i | \(-0.252248\pi\) |
−0.967730 | + | 0.251991i | \(0.918915\pi\) | |||||||
\(450\) | 3.77637e10 | + | 2.14169e11i | 0.0434129 | + | 0.246207i | ||||
\(451\) | −3.89865e11 | − | 3.27136e11i | −0.443731 | − | 0.372335i | ||||
\(452\) | −3.84456e11 | + | 3.22597e11i | −0.433235 | + | 0.363527i | ||||
\(453\) | −7.01460e10 | + | 3.97818e11i | −0.0782638 | + | 0.443856i | ||||
\(454\) | 5.82350e11 | − | 2.11958e11i | 0.643328 | − | 0.234152i | ||||
\(455\) | 3.47582e9 | 0.00380195 | ||||||||
\(456\) | −1.37080e11 | + | 4.10582e10i | −0.148467 | + | 0.0444691i | ||||
\(457\) | −7.59705e11 | −0.814746 | −0.407373 | − | 0.913262i | \(-0.633555\pi\) | ||||
−0.407373 | + | 0.913262i | \(0.633555\pi\) | |||||||
\(458\) | −9.26934e11 | + | 3.37377e11i | −0.984361 | + | 0.358278i | ||||
\(459\) | 1.10486e11 | − | 6.26596e11i | 0.116185 | − | 0.658917i | ||||
\(460\) | 1.46078e11 | − | 1.22574e11i | 0.152116 | − | 0.127641i | ||||
\(461\) | −1.20312e12 | − | 1.00953e12i | −1.24066 | − | 1.04104i | −0.997472 | − | 0.0710603i | \(-0.977362\pi\) |
−0.243190 | − | 0.969979i | \(-0.578194\pi\) | |||||||
\(462\) | −1.46174e8 | − | 8.28994e8i | −0.000149273 | − | 0.000846570i | ||||
\(463\) | 4.85010e11 | + | 8.40062e11i | 0.490497 | + | 0.849565i | 0.999940 | − | 0.0109388i | \(-0.00348199\pi\) |
−0.509443 | + | 0.860504i | \(0.670149\pi\) | |||||||
\(464\) | 6.79143e10 | − | 1.17631e11i | 0.0680190 | − | 0.117812i | ||||
\(465\) | −5.42142e10 | − | 1.97323e10i | −0.0537743 | − | 0.0195722i | ||||
\(466\) | 8.33463e11 | + | 3.03356e11i | 0.818747 | + | 0.298000i | ||||
\(467\) | −5.21834e11 | + | 9.03843e11i | −0.507699 | + | 0.879361i | 0.492261 | + | 0.870448i | \(0.336170\pi\) |
−0.999960 | + | 0.00891308i | \(0.997163\pi\) | |||||||
\(468\) | 1.60931e11 | + | 2.78740e11i | 0.155072 | + | 0.268592i | ||||
\(469\) | 5.67218e8 | + | 3.21686e9i | 0.000541343 | + | 0.00307011i | ||||
\(470\) | −8.37528e11 | − | 7.02770e11i | −0.791697 | − | 0.664313i | ||||
\(471\) | 9.05773e10 | − | 7.60033e10i | 0.0848057 | − | 0.0711604i | ||||
\(472\) | −1.11549e11 | + | 6.32628e11i | −0.103449 | + | 0.586691i | ||||
\(473\) | −5.56884e10 | + | 2.02689e10i | −0.0511552 | + | 0.0186190i | ||||
\(474\) | −2.68236e11 | −0.244070 | ||||||||
\(475\) | 4.45891e11 | + | 1.92270e11i | 0.401890 | + | 0.173297i | ||||
\(476\) | −1.95254e9 | −0.00174328 | ||||||||
\(477\) | −8.13644e11 | + | 2.96142e11i | −0.719618 | + | 0.261919i | ||||
\(478\) | 2.28495e11 | − | 1.29586e12i | 0.200194 | − | 1.13536i | ||||
\(479\) | 8.21287e11 | − | 6.89142e11i | 0.712829 | − | 0.598134i | −0.212563 | − | 0.977147i | \(-0.568181\pi\) |
0.925391 | + | 0.379013i | \(0.123736\pi\) | |||||||
\(480\) | −8.27799e10 | − | 6.94606e10i | −0.0711769 | − | 0.0597245i | ||||
\(481\) | 3.84614e10 | + | 2.18126e11i | 0.0327622 | + | 0.185804i | ||||
\(482\) | 2.85182e11 | + | 4.93949e11i | 0.240663 | + | 0.416841i | ||||
\(483\) | −3.58589e8 | + | 6.21095e8i | −0.000299802 | + | 0.000519273i | ||||
\(484\) | 3.11415e11 | + | 1.13346e11i | 0.257950 | + | 0.0938861i | ||||
\(485\) | 2.16679e12 | + | 7.88647e11i | 1.77819 | + | 0.647209i | ||||
\(486\) | 4.32362e11 | − | 7.48873e11i | 0.351548 | − | 0.608899i | ||||
\(487\) | 7.61690e11 | + | 1.31929e12i | 0.613618 | + | 1.06282i | 0.990625 | + | 0.136607i | \(0.0436198\pi\) |
−0.377008 | + | 0.926210i | \(0.623047\pi\) | |||||||
\(488\) | 1.12151e11 | + | 6.36042e11i | 0.0895190 | + | 0.507687i | ||||
\(489\) | −4.88904e11 | − | 4.10240e11i | −0.386664 | − | 0.324450i | ||||
\(490\) | 8.28786e11 | − | 6.95434e11i | 0.649471 | − | 0.544971i | ||||
\(491\) | −3.89885e11 | + | 2.21115e12i | −0.302740 | + | 1.71692i | 0.331216 | + | 0.943555i | \(0.392541\pi\) |
−0.633956 | + | 0.773369i | \(0.718570\pi\) | |||||||
\(492\) | 2.30894e11 | − | 8.40386e10i | 0.177652 | − | 0.0646600i | ||||
\(493\) | 6.02586e11 | 0.459418 | ||||||||
\(494\) | 7.17449e11 | + | 4.16936e10i | 0.542026 | + | 0.0314991i | ||||
\(495\) | −8.68882e11 | −0.650485 | ||||||||
\(496\) | −3.44764e10 | + | 1.25484e10i | −0.0255773 | + | 0.00930937i | ||||
\(497\) | −9.27878e6 | + | 5.26226e7i | −6.82161e−6 | + | 3.86873e-5i | ||||
\(498\) | 4.67218e11 | − | 3.92043e11i | 0.340398 | − | 0.285628i | ||||
\(499\) | 9.62651e11 | + | 8.07760e11i | 0.695050 | + | 0.583217i | 0.920361 | − | 0.391070i | \(-0.127895\pi\) |
−0.225310 | + | 0.974287i | \(0.572340\pi\) | |||||||
\(500\) | −8.18147e10 | − | 4.63994e11i | −0.0585418 | − | 0.332007i | ||||
\(501\) | −1.88724e11 | − | 3.26879e11i | −0.133831 | − | 0.231802i | ||||
\(502\) | 4.91916e11 | − | 8.52023e11i | 0.345720 | − | 0.598804i | ||||
\(503\) | 3.67792e11 | + | 1.33865e11i | 0.256181 | + | 0.0932422i | 0.466918 | − | 0.884301i | \(-0.345364\pi\) |
−0.210737 | + | 0.977543i | \(0.567586\pi\) | |||||||
\(504\) | −1.60551e9 | − | 5.84359e8i | −0.00110835 | − | 0.000403406i | ||||
\(505\) | 6.18582e11 | − | 1.07142e12i | 0.423239 | − | 0.733072i | ||||
\(506\) | 1.15968e11 | + | 2.00863e11i | 0.0786433 | + | 0.136214i | ||||
\(507\) | −4.64814e10 | − | 2.63609e11i | −0.0312423 | − | 0.177184i | ||||
\(508\) | −3.54138e11 | − | 2.97157e11i | −0.235931 | − | 0.197970i | ||||
\(509\) | 1.25817e12 | − | 1.05573e12i | 0.830825 | − | 0.697145i | −0.124655 | − | 0.992200i | \(-0.539783\pi\) |
0.955480 | + | 0.295055i | \(0.0953381\pi\) | |||||||
\(510\) | 8.32470e10 | − | 4.72117e11i | 0.0544882 | − | 0.309018i | ||||
\(511\) | −3.04512e9 | + | 1.10833e9i | −0.00197565 | + | 0.000719078i | ||||
\(512\) | −6.87195e10 | −0.0441942 | ||||||||
\(513\) | −5.58064e11 | − | 1.11084e12i | −0.355759 | − | 0.708146i | ||||
\(514\) | 1.80894e12 | 1.14311 | ||||||||
\(515\) | −1.71203e12 | + | 6.23128e11i | −1.07245 | + | 0.390342i | ||||
\(516\) | 4.96839e9 | − | 2.81772e10i | 0.00308526 | − | 0.0174974i | ||||
\(517\) | 1.01868e12 | − | 8.54773e11i | 0.627090 | − | 0.526191i | ||||
\(518\) | −9.00677e8 | − | 7.55758e8i | −0.000549649 | − | 0.000461210i | ||||
\(519\) | 1.32100e11 | + | 7.49175e11i | 0.0799188 | + | 0.453242i | ||||
\(520\) | 2.71353e11 | + | 4.69998e11i | 0.162750 | + | 0.281891i | ||||
\(521\) | 1.27879e12 | − | 2.21493e12i | 0.760378 | − | 1.31701i | −0.182277 | − | 0.983247i | \(-0.558347\pi\) |
0.942656 | − | 0.333767i | \(-0.108320\pi\) | |||||||
\(522\) | 4.95488e11 | + | 1.80343e11i | 0.292090 | + | 0.106312i | ||||
\(523\) | 2.43103e12 | + | 8.84822e11i | 1.42080 | + | 0.517128i | 0.934279 | − | 0.356542i | \(-0.116044\pi\) |
0.486518 | + | 0.873670i | \(0.338267\pi\) | |||||||
\(524\) | 2.24707e11 | − | 3.89204e11i | 0.130204 | − | 0.225520i | ||||
\(525\) | −6.89553e8 | − | 1.19434e9i | −0.000396142 | − | 0.000686138i | ||||
\(526\) | −6.43559e10 | − | 3.64980e11i | −0.0366566 | − | 0.207890i | ||||
\(527\) | −1.24686e11 | − | 1.04624e11i | −0.0704158 | − | 0.0590859i | ||||
\(528\) | 1.00684e11 | − | 8.44842e10i | 0.0563780 | − | 0.0473067i | ||||
\(529\) | −2.78453e11 | + | 1.57919e12i | −0.154597 | + | 0.876765i | ||||
\(530\) | −1.37193e12 | + | 4.99341e11i | −0.755249 | + | 0.274888i | ||||
\(531\) | −2.49375e12 | −1.36122 | ||||||||
\(532\) | −3.05972e9 | + | 2.27849e9i | −0.00165607 | + | 0.00123323i | ||||
\(533\) | −1.23402e12 | −0.662292 | ||||||||
\(534\) | −2.29101e11 | + | 8.33858e10i | −0.121924 | + | 0.0443768i | ||||
\(535\) | 4.20740e11 | − | 2.38613e12i | 0.222035 | − | 1.25922i | ||||
\(536\) | −3.90699e11 | + | 3.27835e11i | −0.204456 | + | 0.171559i | ||||
\(537\) | −2.34071e11 | − | 1.96409e11i | −0.121468 | − | 0.101924i | ||||
\(538\) | 3.48140e11 | + | 1.97440e12i | 0.179157 | + | 1.01605i | ||||
\(539\) | 6.57954e11 | + | 1.13961e12i | 0.335773 | + | 0.581577i | ||||
\(540\) | 4.69388e11 | − | 8.13004e11i | 0.237553 | − | 0.411453i | ||||
\(541\) | −1.08264e12 | − | 3.94047e11i | −0.543369 | − | 0.197770i | 0.0557289 | − | 0.998446i | \(-0.482252\pi\) |
−0.599098 | + | 0.800676i | \(0.704474\pi\) | |||||||
\(542\) | 7.73343e11 | + | 2.81474e11i | 0.384924 | + | 0.140101i | ||||
\(543\) | −6.28394e11 | + | 1.08841e12i | −0.310194 | + | 0.537271i | ||||
\(544\) | −1.52432e11 | − | 2.64021e11i | −0.0746247 | − | 0.129254i | ||||
\(545\) | −1.75019e11 | − | 9.92582e11i | −0.0849769 | − | 0.481928i | ||||
\(546\) | −1.56356e9 | − | 1.31198e9i | −0.000752919 | − | 0.000631774i | ||||
\(547\) | −2.57022e12 | + | 2.15667e12i | −1.22752 | + | 1.03001i | −0.229119 | + | 0.973399i | \(0.573584\pi\) |
−0.998396 | + | 0.0566089i | \(0.981971\pi\) | |||||||
\(548\) | −1.96382e11 | + | 1.11374e12i | −0.0930228 | + | 0.527558i | ||||
\(549\) | −2.35601e12 | + | 8.57516e11i | −1.10688 | + | 0.402872i | ||||
\(550\) | −4.46004e11 | −0.207829 | ||||||||
\(551\) | 9.44282e11 | − | 7.03182e11i | 0.436435 | − | 0.325001i | ||||
\(552\) | −1.11979e11 | −0.0513345 | ||||||||
\(553\) | −6.71982e9 | + | 2.44581e9i | −0.00305559 | + | 0.00111214i | ||||
\(554\) | 9.64132e10 | − | 5.46787e11i | 0.0434853 | − | 0.246618i | ||||
\(555\) | 2.21140e11 | − | 1.85559e11i | 0.0989349 | − | 0.0830163i | ||||
\(556\) | −4.12957e11 | − | 3.46512e11i | −0.183260 | − | 0.153774i | ||||
\(557\) | 5.44872e11 | + | 3.09012e12i | 0.239854 | + | 1.36028i | 0.832147 | + | 0.554555i | \(0.187112\pi\) |
−0.592293 | + | 0.805723i | \(0.701777\pi\) | |||||||
\(558\) | −7.12136e10 | − | 1.23346e11i | −0.0310963 | − | 0.0538604i | ||||
\(559\) | −7.18473e10 | + | 1.24443e11i | −0.0311213 | + | 0.0539036i | ||||
\(560\) | −2.70714e9 | − | 9.85319e8i | −0.00116323 | − | 0.000423380i | ||||
\(561\) | 5.47926e11 | + | 1.99429e11i | 0.233555 | + | 0.0850070i | ||||
\(562\) | 3.17623e11 | − | 5.50139e11i | 0.134307 | − | 0.232627i | ||||
\(563\) | −1.17795e12 | − | 2.04027e12i | −0.494129 | − | 0.855856i | 0.505848 | − | 0.862622i | \(-0.331180\pi\) |
−0.999977 | + | 0.00676634i | \(0.997846\pi\) | |||||||
\(564\) | 1.11486e11 | + | 6.32268e11i | 0.0463942 | + | 0.263115i | ||||
\(565\) | −2.51652e12 | − | 2.11161e12i | −1.03892 | − | 0.871756i | ||||
\(566\) | 1.55034e12 | − | 1.30089e12i | 0.634970 | − | 0.532803i | ||||
\(567\) | 8.12610e8 | − | 4.60854e9i | 0.000330186 | − | 0.00187258i | ||||
\(568\) | −7.83997e9 | + | 2.85352e9i | −0.00316044 | + | 0.00115030i | ||||
\(569\) | −1.92424e12 | −0.769581 | −0.384790 | − | 0.923004i | \(-0.625726\pi\) | ||||
−0.384790 | + | 0.923004i | \(0.625726\pi\) | |||||||
\(570\) | −4.20480e11 | − | 8.36976e11i | −0.166843 | − | 0.332105i | ||||
\(571\) | −1.57461e12 | −0.619884 | −0.309942 | − | 0.950755i | \(-0.600310\pi\) | ||||
−0.309942 | + | 0.950755i | \(0.600310\pi\) | |||||||
\(572\) | −6.20281e11 | + | 2.25764e11i | −0.242274 | + | 0.0881805i | ||||
\(573\) | 4.77215e10 | − | 2.70642e11i | 0.0184935 | − | 0.104882i | ||||
\(574\) | 5.01805e9 | − | 4.21065e9i | 0.00192944 | − | 0.00161899i | ||||
\(575\) | 2.91085e11 | + | 2.44250e11i | 0.111049 | + | 0.0931813i | ||||
\(576\) | −4.63241e10 | − | 2.62717e11i | −0.0175350 | − | 0.0994458i | ||||
\(577\) | 1.88649e12 | + | 3.26749e12i | 0.708537 | + | 1.22722i | 0.965400 | + | 0.260774i | \(0.0839778\pi\) |
−0.256863 | + | 0.966448i | \(0.582689\pi\) | |||||||
\(578\) | −2.72456e11 | + | 4.71908e11i | −0.101536 | + | 0.175866i | ||||
\(579\) | 6.57432e11 | + | 2.39286e11i | 0.243107 | + | 0.0884837i | ||||
\(580\) | 8.35469e11 | + | 3.04086e11i | 0.306552 | + | 0.111576i | ||||
\(581\) | 8.12999e9 | − | 1.40816e10i | 0.00296004 | − | 0.00512694i | ||||
\(582\) | −6.77026e11 | − | 1.17264e12i | −0.244597 | − | 0.423655i | ||||
\(583\) | −3.08357e11 | − | 1.74878e12i | −0.110546 | − | 0.626940i | ||||
\(584\) | −3.87597e11 | − | 3.25232e11i | −0.137887 | − | 0.115701i | ||||
\(585\) | −1.61390e12 | + | 1.35422e12i | −0.569737 | + | 0.478066i | ||||
\(586\) | −1.33898e11 | + | 7.59370e11i | −0.0469065 | + | 0.266020i | ||||
\(587\) | 3.86378e12 | − | 1.40630e12i | 1.34320 | − | 0.488885i | 0.432382 | − | 0.901690i | \(-0.357673\pi\) |
0.910819 | + | 0.412805i | \(0.135451\pi\) | |||||||
\(588\) | −6.35320e11 | −0.219177 | ||||||||
\(589\) | −3.17479e11 | − | 1.84499e10i | −0.108692 | − | 0.00631648i | ||||
\(590\) | −4.20485e12 | −1.42862 | ||||||||
\(591\) | −1.93677e12 | + | 7.04927e11i | −0.653033 | + | 0.237684i | ||||
\(592\) | 3.18782e10 | − | 1.80790e11i | 0.0106671 | − | 0.0604961i | ||||
\(593\) | −5.09094e11 | + | 4.27181e11i | −0.169064 | + | 0.141862i | −0.723394 | − | 0.690435i | \(-0.757419\pi\) |
0.554330 | + | 0.832297i | \(0.312975\pi\) | |||||||
\(594\) | 8.74689e11 | + | 7.33951e11i | 0.288280 | + | 0.241896i | ||||
\(595\) | −2.21934e9 | − | 1.25865e10i | −0.000725933 | − | 0.00411697i | ||||
\(596\) | 4.07210e11 | + | 7.05309e11i | 0.132194 | + | 0.228966i | ||||
\(597\) | −5.67728e11 | + | 9.83334e11i | −0.182918 | + | 0.316823i | ||||
\(598\) | 5.28465e11 | + | 1.92345e11i | 0.168990 | + | 0.0615073i | ||||
\(599\) | 4.00019e12 | + | 1.45595e12i | 1.26958 | + | 0.462089i | 0.886972 | − | 0.461822i | \(-0.152804\pi\) |
0.382607 | + | 0.923911i | \(0.375026\pi\) | |||||||
\(600\) | 1.07665e11 | − | 1.86482e11i | 0.0339153 | − | 0.0587430i | ||||
\(601\) | −1.70211e12 | − | 2.94814e12i | −0.532173 | − | 0.921751i | −0.999294 | − | 0.0375576i | \(-0.988042\pi\) |
0.467121 | − | 0.884193i | \(-0.345291\pi\) | |||||||
\(602\) | −1.32456e8 | − | 7.51193e8i | −4.11042e−5 | − | 0.000233113i | ||||
\(603\) | −1.51670e12 | − | 1.27266e12i | −0.467166 | − | 0.391998i | ||||
\(604\) | −1.28810e12 | + | 1.08084e12i | −0.393806 | + | 0.330443i | ||||
\(605\) | −3.76684e11 | + | 2.13628e12i | −0.114308 | + | 0.648275i | ||||
\(606\) | −6.82680e11 | + | 2.48475e11i | −0.205632 | + | 0.0748439i | ||||
\(607\) | −5.82226e12 | −1.74078 | −0.870388 | − | 0.492367i | \(-0.836132\pi\) | ||||
−0.870388 | + | 0.492367i | \(0.836132\pi\) | |||||||
\(608\) | −5.46966e11 | − | 2.35854e11i | −0.162328 | − | 0.0699967i | ||||
\(609\) | −3.34380e9 | −0.000985060 | ||||||||
\(610\) | −3.97259e12 | + | 1.44590e12i | −1.16169 | + | 0.422819i | ||||
\(611\) | 5.59905e11 | − | 3.17538e12i | 0.162528 | − | 0.921744i | ||||
\(612\) | 9.06605e11 | − | 7.60732e11i | 0.261238 | − | 0.219205i | ||||
\(613\) | 2.57496e12 | + | 2.16065e12i | 0.736544 | + | 0.618033i | 0.931907 | − | 0.362697i | \(-0.118144\pi\) |
−0.195363 | + | 0.980731i | \(0.562589\pi\) | |||||||
\(614\) | −2.34446e11 | − | 1.32961e12i | −0.0665709 | − | 0.377542i | ||||
\(615\) | 8.04175e11 | + | 1.39287e12i | 0.226680 | + | 0.392621i | ||||
\(616\) | 1.75199e9 | − | 3.03454e9i | 0.000490252 | − | 0.000849141i | ||||
\(617\) | 5.82933e12 | + | 2.12170e12i | 1.61933 | + | 0.589388i | 0.983254 | − | 0.182238i | \(-0.0583341\pi\) |
0.636076 | + | 0.771626i | \(0.280556\pi\) | |||||||
\(618\) | 1.00535e12 | + | 3.65916e11i | 0.277247 | + | 0.100910i | ||||
\(619\) | 2.20898e12 | − | 3.82606e12i | 0.604761 | − | 1.04748i | −0.387329 | − | 0.921942i | \(-0.626602\pi\) |
0.992089 | − | 0.125534i | \(-0.0400646\pi\) | |||||||
\(620\) | −1.20077e11 | − | 2.07979e11i | −0.0326360 | − | 0.0565272i | ||||
\(621\) | −1.68926e11 | − | 9.58028e11i | −0.0455811 | − | 0.258503i | ||||
\(622\) | 2.99092e12 | + | 2.50968e12i | 0.801214 | + | 0.672298i | ||||
\(623\) | −4.97907e9 | + | 4.17794e9i | −0.00132420 | + | 0.00111113i | ||||
\(624\) | 5.53401e10 | − | 3.13849e11i | 0.0146120 | − | 0.0828687i | ||||
\(625\) | 4.46687e12 | − | 1.62581e12i | 1.17096 | − | 0.426196i | ||||
\(626\) | −3.69361e12 | −0.961317 | ||||||||
\(627\) | 1.09135e12 | − | 3.26882e11i | 0.282007 | − | 0.0844670i | ||||
\(628\) | 4.92184e11 | 0.126273 | ||||||||
\(629\) | 7.65309e11 | − | 2.78550e11i | 0.194944 | − | 0.0709536i | ||||
\(630\) | 1.94201e9 | − | 1.10137e10i | 0.000491156 | − | 0.00278548i | ||||
\(631\) | 4.40580e12 | − | 3.69690e12i | 1.10635 | − | 0.928337i | 0.108514 | − | 0.994095i | \(-0.465391\pi\) |
0.997836 | + | 0.0657574i | \(0.0209464\pi\) | |||||||
\(632\) | −8.55331e11 | − | 7.17708e11i | −0.213259 | − | 0.178945i | ||||
\(633\) | 3.11183e11 | + | 1.76481e12i | 0.0770370 | + | 0.436899i | ||||
\(634\) | 2.24195e12 | + | 3.88317e12i | 0.551092 | + | 0.954519i | ||||
\(635\) | 1.51301e12 | − | 2.62061e12i | 0.369283 | − | 0.639617i | ||||
\(636\) | 8.05630e11 | + | 2.93225e11i | 0.195244 | + | 0.0710631i | ||||
\(637\) | 2.99828e12 | + | 1.09129e12i | 0.721515 | + | 0.262610i | ||||
\(638\) | −5.40695e11 | + | 9.36510e11i | −0.129199 | + | 0.223779i | ||||
\(639\) | −1.61940e10 | − | 2.80489e10i | −0.00384239 | − | 0.00665521i | ||||
\(640\) | −7.81094e10 | − | 4.42981e11i | −0.0184032 | − | 0.104370i | ||||
\(641\) | −5.08746e12 | − | 4.26888e12i | −1.19025 | − | 0.998742i | −0.999855 | − | 0.0170348i | \(-0.994577\pi\) |
−0.190399 | − | 0.981707i | \(-0.560978\pi\) | |||||||
\(642\) | −1.08994e12 | + | 9.14566e11i | −0.253218 | + | 0.212475i | ||||
\(643\) | −4.75446e11 | + | 2.69639e12i | −0.109686 | + | 0.622061i | 0.879559 | + | 0.475791i | \(0.157838\pi\) |
−0.989245 | + | 0.146270i | \(0.953273\pi\) | |||||||
\(644\) | −2.80528e9 | + | 1.02104e9i | −0.000642672 | + | 0.000233913i | ||||
\(645\) | 1.87283e11 | 0.0426070 | ||||||||
\(646\) | −3.07117e11 | − | 2.62462e12i | −0.0693838 | − | 0.592952i | ||||
\(647\) | −5.81279e11 | −0.130411 | −0.0652057 | − | 0.997872i | \(-0.520770\pi\) | ||||
−0.0652057 | + | 0.997872i | \(0.520770\pi\) | |||||||
\(648\) | 6.86603e11 | − | 2.49903e11i | 0.152974 | − | 0.0556781i | ||||
\(649\) | 8.88092e11 | − | 5.03662e12i | 0.196497 | − | 1.11439i | ||||
\(650\) | −8.28427e11 | + | 6.95133e11i | −0.182031 | + | 0.152742i | ||||
\(651\) | 6.91894e8 | + | 5.80568e8i | 0.000150982 | + | 0.000126689i | ||||
\(652\) | −4.61320e11 | − | 2.61628e12i | −0.0999743 | − | 0.566983i | ||||
\(653\) | 3.43620e12 | + | 5.95168e12i | 0.739553 | + | 1.28094i | 0.952697 | + | 0.303923i | \(0.0982965\pi\) |
−0.213143 | + | 0.977021i | \(0.568370\pi\) | |||||||
\(654\) | −2.95930e11 | + | 5.12566e11i | −0.0632542 | + | 0.109559i | ||||
\(655\) | 2.76430e12 | + | 1.00612e12i | 0.586813 | + | 0.213582i | ||||
\(656\) | 9.61115e11 | + | 3.49817e11i | 0.202632 | + | 0.0737520i | ||||
\(657\) | 9.82093e11 | − | 1.70104e12i | 0.205640 | − | 0.356180i | ||||
\(658\) | 8.55803e9 | + | 1.48230e10i | 0.00177974 | + | 0.00308261i | ||||
\(659\) | 8.54346e11 | + | 4.84524e12i | 0.176461 | + | 1.00076i | 0.936444 | + | 0.350818i | \(0.114096\pi\) |
−0.759982 | + | 0.649944i | \(0.774792\pi\) | |||||||
\(660\) | 6.59046e11 | + | 5.53005e11i | 0.135197 | + | 0.113444i | ||||
\(661\) | 1.72575e12 | − | 1.44808e12i | 0.351618 | − | 0.295043i | −0.449821 | − | 0.893119i | \(-0.648512\pi\) |
0.801440 | + | 0.598076i | \(0.204068\pi\) | |||||||
\(662\) | −8.37288e11 | + | 4.74850e12i | −0.169439 | + | 0.960937i | ||||
\(663\) | 1.32857e12 | − | 4.83558e11i | 0.267037 | − | 0.0971937i | ||||
\(664\) | 2.53880e12 | 0.506841 | ||||||||
\(665\) | −1.81655e10 | − | 1.71338e10i | −0.00360205 | − | 0.00339748i | ||||
\(666\) | 7.12656e11 | 0.140361 | ||||||||
\(667\) | 8.65755e11 | − | 3.15109e11i | 0.169367 | − | 0.0616445i | ||||
\(668\) | 2.72828e11 | − | 1.54728e12i | 0.0530145 | − | 0.300660i | ||||
\(669\) | −2.64777e12 | + | 2.22174e12i | −0.511049 | + | 0.428821i | ||||
\(670\) | −2.55738e12 | − | 2.14590e12i | −0.490297 | − | 0.411408i | ||||
\(671\) | −8.92884e11 | − | 5.06380e12i | −0.170037 | − | 0.964329i | ||||
\(672\) | 8.45861e8 | + | 1.46507e9i | 0.000160006 | + | 0.000277139i | ||||
\(673\) | −1.18131e12 | + | 2.04609e12i | −0.221971 | + | 0.384465i | −0.955406 | − | 0.295294i | \(-0.904582\pi\) |
0.733435 | + | 0.679759i | \(0.237916\pi\) | |||||||
\(674\) | −3.72167e12 | − | 1.35458e12i | −0.694654 | − | 0.252833i | ||||
\(675\) | 1.75785e12 | + | 6.39807e11i | 0.325924 | + | 0.118627i | ||||
\(676\) | 5.57110e11 | − | 9.64944e11i | 0.102608 | − | 0.177722i | ||||
\(677\) | 4.09727e11 | + | 7.09668e11i | 0.0749628 | + | 0.129839i | 0.901070 | − | 0.433673i | \(-0.142783\pi\) |
−0.826107 | + | 0.563513i | \(0.809450\pi\) | |||||||
\(678\) | 3.34981e11 | + | 1.89977e12i | 0.0608817 | + | 0.345277i | ||||
\(679\) | −2.76531e10 | − | 2.32037e10i | −0.00499263 | − | 0.00418931i | ||||
\(680\) | 1.52867e12 | − | 1.28271e12i | 0.274173 | − | 0.230058i | ||||
\(681\) | 4.13643e11 | − | 2.34589e12i | 0.0736994 | − | 0.417970i | ||||
\(682\) | 2.74481e11 | − | 9.99030e10i | 0.0485829 | − | 0.0176827i | ||||
\(683\) | −7.57557e12 | −1.33205 | −0.666027 | − | 0.745928i | \(-0.732006\pi\) | ||||
−0.666027 | + | 0.745928i | \(0.732006\pi\) | |||||||
\(684\) | 5.32967e11 | − | 2.25006e12i | 0.0930995 | − | 0.393044i | ||||
\(685\) | −7.40261e12 | −1.28463 | ||||||||
\(686\) | −3.18322e10 | + | 1.15860e10i | −0.00548792 | + | 0.00199744i | ||||
\(687\) | −6.58402e11 | + | 3.73398e12i | −0.112768 | + | 0.639539i | ||||
\(688\) | 9.12352e10 | − | 7.65554e10i | 0.0155244 | − | 0.0130265i | ||||
\(689\) | −3.29836e12 | − | 2.76765e12i | −0.557586 | − | 0.467870i | ||||
\(690\) | −1.27280e11 | − | 7.21839e11i | −0.0213766 | − | 0.121233i | ||||
\(691\) | −8.21486e11 | − | 1.42286e12i | −0.137072 | − | 0.237416i | 0.789315 | − | 0.613988i | \(-0.210436\pi\) |
−0.926387 | + | 0.376573i | \(0.877103\pi\) | |||||||
\(692\) | −1.58330e12 | + | 2.74236e12i | −0.262474 | + | 0.454619i | ||||
\(693\) | 1.27822e10 | + | 4.65233e9i | 0.00210526 | + | 0.000766251i | ||||
\(694\) | 2.45956e12 | + | 8.95206e11i | 0.402476 | + | 0.146489i | ||||
\(695\) | 1.76431e12 | − | 3.05587e12i | 0.286842 | − | 0.496825i | ||||
\(696\) | −2.61047e11 | − | 4.52147e11i | −0.0421674 | − | 0.0730361i | ||||
\(697\) | 7.87930e11 | + | 4.46857e12i | 0.126456 | + | 0.717168i | ||||
\(698\) | 2.68051e12 | + | 2.24922e12i | 0.427433 | + | 0.358659i | ||||
\(699\) | 2.61163e12 | − | 2.19142e12i | 0.413775 | − | 0.347199i | ||||
\(700\) | 9.96851e8 | − | 5.65342e9i | 0.000156924 | − | 0.000889960i | ||||
\(701\) | 4.49933e12 | − | 1.63762e12i | 0.703747 | − | 0.256143i | 0.0347372 | − | 0.999396i | \(-0.488941\pi\) |
0.669010 | + | 0.743253i | \(0.266718\pi\) | |||||||
\(702\) | 2.76860e12 | 0.430273 | ||||||||
\(703\) | 8.74227e11 | − | 1.32957e12i | 0.134997 | − | 0.205311i | ||||
\(704\) | 5.47105e11 | 0.0839448 | ||||||||
\(705\) | −3.94902e12 | + | 1.43732e12i | −0.602057 | + | 0.219131i | ||||
\(706\) | 8.71075e11 | − | 4.94011e12i | 0.131958 | − | 0.748369i | ||||
\(707\) | −1.48368e10 | + | 1.24495e10i | −0.00223333 | + | 0.00187398i | ||||
\(708\) | 1.89151e12 | + | 1.58716e12i | 0.282917 | + | 0.237395i | ||||
\(709\) | 1.56313e12 | + | 8.86496e12i | 0.232320 | + | 1.31755i | 0.848184 | + | 0.529702i | \(0.177696\pi\) |
−0.615863 | + | 0.787853i | \(0.711193\pi\) | |||||||
\(710\) | −2.73056e10 | − | 4.72947e10i | −0.00403264 | − | 0.00698474i | ||||
\(711\) | 2.16724e12 | − | 3.75377e12i | 0.318049 | − | 0.550876i | ||||
\(712\) | −9.53649e11 | − | 3.47100e11i | −0.139068 | − | 0.0506168i | ||||
\(713\) | −2.33851e11 | − | 8.51150e10i | −0.0338873 | − | 0.0123340i | ||||
\(714\) | −3.75255e9 | + | 6.49961e9i | −0.000540362 | + | 0.000935935i | ||||
\(715\) | −2.16036e12 | − | 3.74185e12i | −0.309136 | − | 0.535439i | ||||
\(716\) | −2.20864e11 | − | 1.25258e12i | −0.0314063 | − | 0.178114i | ||||
\(717\) | −3.87452e12 | − | 3.25110e12i | −0.547496 | − | 0.459404i | ||||
\(718\) | 1.32366e12 | − | 1.11068e12i | 0.185873 | − | 0.155966i | ||||
\(719\) | −6.82274e11 | + | 3.86937e12i | −0.0952092 | + | 0.539958i | 0.899474 | + | 0.436975i | \(0.143950\pi\) |
−0.994683 | + | 0.102984i | \(0.967161\pi\) | |||||||
\(720\) | 1.64088e12 | − | 5.97230e11i | 0.227551 | − | 0.0828219i | ||||
\(721\) | 2.85223e10 | 0.00393075 | ||||||||
\(722\) | −3.54404e12 | − | 3.75452e12i | −0.485379 | − | 0.514205i | ||||
\(723\) | 2.19235e12 | 0.298392 | ||||||||
\(724\) | −4.91598e12 | + | 1.78927e12i | −0.664947 | + | 0.242021i | ||||
\(725\) | −3.07645e11 | + | 1.74474e12i | −0.0413551 | + | 0.234536i | ||||
\(726\) | 9.75810e11 | − | 8.18802e11i | 0.130362 | − | 0.109387i | ||||
\(727\) | 3.67381e12 | + | 3.08269e12i | 0.487766 | + | 0.409285i | 0.853225 | − | 0.521543i | \(-0.174643\pi\) |
−0.365459 | + | 0.930828i | \(0.619088\pi\) | |||||||
\(728\) | −1.47535e9 | − | 8.36711e9i | −0.000194672 | − | 0.00110404i | ||||
\(729\) | 9.36820e10 | + | 1.62262e11i | 0.0122852 | + | 0.0212786i | ||||
\(730\) | 1.65596e12 | − | 2.86821e12i | 0.215823 | − | 0.373816i | ||||
\(731\) | 4.96503e11 | + | 1.80712e11i | 0.0643122 | + | 0.0234077i | ||||
\(732\) | 2.33280e12 | + | 8.49069e11i | 0.300315 | + | 0.109306i | ||||
\(733\) | −5.58530e12 | + | 9.67403e12i | −0.714626 | + | 1.23777i | 0.248478 | + | 0.968638i | \(0.420070\pi\) |
−0.963104 | + | 0.269131i | \(0.913264\pi\) | |||||||
\(734\) | 2.79032e12 | + | 4.83298e12i | 0.354832 | + | 0.614587i | ||||
\(735\) | −7.22131e11 | − | 4.09541e12i | −0.0912689 | − | 0.517612i | ||||
\(736\) | −3.57069e11 | − | 2.99616e11i | −0.0448541 | − | 0.0376370i | ||||
\(737\) | 3.11052e12 | − | 2.61004e12i | 0.388355 | − | 0.325869i | ||||
\(738\) | −6.89472e11 | + | 3.91019e12i | −0.0855584 | + | 0.485226i | ||||
\(739\) | −1.17481e13 | + | 4.27596e12i | −1.44900 | + | 0.527392i | −0.942311 | − | 0.334739i | \(-0.891352\pi\) |
−0.506686 | + | 0.862131i | \(0.669130\pi\) | |||||||
\(740\) | 1.20165e12 | 0.147311 | ||||||||
\(741\) | 1.51765e12 | − | 2.30812e12i | 0.184922 | − | 0.281239i | ||||
\(742\) | 2.28562e10 | 0.00276813 | ||||||||
\(743\) | 3.01450e12 | − | 1.09719e12i | 0.362883 | − | 0.132078i | −0.154143 | − | 0.988049i | \(-0.549262\pi\) |
0.517025 | + | 0.855970i | \(0.327039\pi\) | |||||||
\(744\) | −2.44886e10 | + | 1.38882e11i | −0.00293012 | + | 0.0166175i | ||||
\(745\) | −4.08372e12 | + | 3.42665e12i | −0.485683 | + | 0.407536i | ||||
\(746\) | −4.47226e12 | − | 3.75267e12i | −0.528692 | − | 0.443625i | ||||
\(747\) | 1.71141e12 | + | 9.70591e12i | 0.201100 | + | 1.14050i | ||||
\(748\) | 1.21358e12 | + | 2.10198e12i | 0.141746 | + | 0.245511i | ||||
\(749\) | −1.89658e10 | + | 3.28498e10i | −0.00220193 | + | 0.00381386i | ||||
\(750\) | −1.70178e12 | − | 6.19399e11i | −0.196394 | − | 0.0714817i | ||||
\(751\) | −9.28439e12 | − | 3.37924e12i | −1.06506 | − | 0.387650i | −0.250733 | − | 0.968056i | \(-0.580671\pi\) |
−0.814327 | + | 0.580406i | \(0.802894\pi\) | |||||||
\(752\) | −1.33623e12 | + | 2.31442e12i | −0.152371 | + | 0.263914i | ||||
\(753\) | −1.89081e12 | − | 3.27498e12i | −0.214324 | − | 0.371220i | ||||
\(754\) | 4.55317e11 | + | 2.58223e12i | 0.0513030 | + | 0.290954i | ||||
\(755\) | −8.43145e12 | − | 7.07483e12i | −0.944367 | − | 0.792418i | ||||
\(756\) | −1.12583e10 | + | 9.44687e9i | −0.00125351 | + | 0.00105182i | ||||
\(757\) | −2.59273e12 | + | 1.47041e13i | −0.286963 | + | 1.62745i | 0.411225 | + | 0.911534i | \(0.365101\pi\) |
−0.698188 | + | 0.715914i | \(0.746010\pi\) | |||||||
\(758\) | 2.24379e12 | − | 8.16671e11i | 0.246871 | − | 0.0898536i | ||||
\(759\) | 8.91510e11 | 0.0975076 | ||||||||
\(760\) | 8.98663e11 | − | 3.79394e12i | 0.0977093 | − | 0.412505i | ||||
\(761\) | −1.26232e13 | −1.36439 | −0.682193 | − | 0.731172i | \(-0.738974\pi\) | ||||
−0.682193 | + | 0.731172i | \(0.738974\pi\) | |||||||
\(762\) | −1.66979e12 | + | 6.07753e11i | −0.179417 | + | 0.0653025i | ||||
\(763\) | −2.73996e9 | + | 1.55391e10i | −0.000292673 | + | 0.00165983i | ||||
\(764\) | 8.76315e11 | − | 7.35316e11i | 0.0930551 | − | 0.0780825i | ||||
\(765\) | 5.93433e12 | + | 4.97949e12i | 0.626462 | + | 0.525664i | ||||
\(766\) | −7.30411e11 | − | 4.14237e12i | −0.0766545 | − | 0.434729i | ||||
\(767\) | −6.20039e12 | − | 1.07394e13i | −0.646904 | − | 1.12047i | ||||
\(768\) | −1.32071e11 | + | 2.28754e11i | −0.0136988 | + | 0.0237270i | ||||
\(769\) | −8.74434e12 | − | 3.18268e12i | −0.901692 | − | 0.328189i | −0.150762 | − | 0.988570i | \(-0.548173\pi\) |
−0.750931 | + | 0.660381i | \(0.770395\pi\) | |||||||
\(770\) | 2.15527e10 | + | 7.84454e9i | 0.00220950 | + | 0.000804191i | ||||
\(771\) | 3.47657e12 | − | 6.02160e12i | 0.354329 | − | 0.613715i | ||||
\(772\) | 1.45612e12 | + | 2.52208e12i | 0.147543 | + | 0.255553i | ||||
\(773\) | 2.14558e12 | + | 1.21682e13i | 0.216141 | + | 1.22580i | 0.878916 | + | 0.476977i | \(0.158268\pi\) |
−0.662775 | + | 0.748819i | \(0.730621\pi\) | |||||||
\(774\) | 3.54176e11 | + | 2.97189e11i | 0.0354719 | + | 0.0297645i | ||||
\(775\) | 3.66588e11 | − | 3.07604e11i | 0.0365024 | − | 0.0306291i | ||||
\(776\) | 9.78741e11 | − | 5.55072e12i | 0.0968925 | − | 0.549504i | ||||
\(777\) | −4.24677e9 | + | 1.54570e9i | −0.000417988 | + | 0.000152135i | ||||
\(778\) | 7.66583e12 | 0.750155 | ||||||||
\(779\) | 6.44928e12 | + | 6.08301e12i | 0.627470 | + | 0.591834i | ||||
\(780\) | 2.08604e12 | 0.201789 | ||||||||
\(781\) | 6.24173e10 | − | 2.27181e10i | 0.00600310 | − | 0.00218495i | ||||
\(782\) | 3.59084e11 | − | 2.03647e12i | 0.0343372 | − | 0.194736i | ||||
\(783\) | 3.47451e12 | − | 2.91546e12i | 0.330344 | − | 0.277191i | ||||
\(784\) | −2.02586e12 | − | 1.69990e12i | −0.191508 | − | 0.160694i | ||||
\(785\) | 5.59437e11 | + | 3.17273e12i | 0.0525821 | + | 0.298208i | ||||
\(786\) | −8.63721e11 | − | 1.49601e12i | −0.0807183 | − | 0.139808i | ||||
\(787\) | 5.44818e11 | − | 9.43652e11i | 0.0506250 | − | 0.0876850i | −0.839602 | − | 0.543201i | \(-0.817212\pi\) |
0.890227 | + | 0.455516i | \(0.150545\pi\) | |||||||
\(788\) | −8.06197e12 | − | 2.93432e12i | −0.744857 | − | 0.271106i | ||||
\(789\) | −1.33863e12 | − | 4.87222e11i | −0.122974 | − | 0.0447590i | ||||
\(790\) | 3.65429e12 | − | 6.32942e12i | 0.333796 | − | 0.578152i | ||||
\(791\) | 2.57143e10 | + | 4.45384e10i | 0.00233550 | + | 0.00404521i | ||||
\(792\) | 3.68806e11 | + | 2.09160e12i | 0.0333069 | + | 0.188893i | ||||
\(793\) | −9.55081e12 | − | 8.01408e12i | −0.857651 | − | 0.719655i | ||||
\(794\) | 7.19869e12 | − | 6.04042e12i | 0.642778 | − | 0.539355i | ||||
\(795\) | −9.74481e11 | + | 5.52655e12i | −0.0865209 | + | 0.490685i | ||||
\(796\) | −4.44139e12 | + | 1.61653e12i | −0.392112 | + | 0.142717i | ||||
\(797\) | 1.84217e13 | 1.61721 | 0.808606 | − | 0.588350i | \(-0.200222\pi\) | ||||
0.808606 | + | 0.588350i | \(0.200222\pi\) | |||||||
\(798\) | 1.70422e9 | + | 1.45642e10i | 0.000148769 | + | 0.00127138i | ||||
\(799\) | −1.18560e13 | −1.02915 | ||||||||
\(800\) | 8.42275e11 | − | 3.06563e11i | 0.0727025 | − | 0.0264615i | ||||
\(801\) | 6.84116e11 | − | 3.87981e12i | 0.0587196 | − | 0.333016i | ||||
\(802\) | 3.34828e12 | − | 2.80954e12i | 0.285784 | − | 0.239801i | ||||
\(803\) | 3.08582e12 | + | 2.58931e12i | 0.261909 | + | 0.219768i | ||||
\(804\) | 3.40421e11 | + | 1.93062e12i | 0.0287319 | + | 0.162946i | ||||
\(805\) | −9.77042e9 | − | 1.69229e10i | −0.000820034 | − | 0.00142034i | ||||
\(806\) | 3.54126e11 | − | 6.13365e11i | 0.0295563 | − | 0.0511931i | ||||
\(807\) | 7.24147e12 | + | 2.63568e12i | 0.601029 | + | 0.218757i | ||||
\(808\) | −2.84171e12 | − | 1.03430e12i | −0.234546 | − | 0.0853679i | ||||
\(809\) | −5.66933e12 | + | 9.81957e12i | −0.465333 | + | 0.805980i | −0.999216 | − | 0.0395780i | \(-0.987399\pi\) |
0.533884 | + | 0.845558i | \(0.320732\pi\) | |||||||
\(810\) | 2.39135e12 | + | 4.14194e12i | 0.195191 | + | 0.338081i | ||||
\(811\) | −4.07898e12 | − | 2.31330e13i | −0.331099 | − | 1.87775i | −0.462798 | − | 0.886464i | \(-0.653155\pi\) |
0.131700 | − | 0.991290i | \(-0.457957\pi\) | |||||||
\(812\) | −1.06624e10 | − | 8.94686e9i | −0.000860706 | − | 0.000722218i | ||||
\(813\) | 2.42325e12 | − | 2.03335e12i | 0.194532 | − | 0.163232i | ||||
\(814\) | −2.53796e11 | + | 1.43935e12i | −0.0202616 | + | 0.114909i | ||||
\(815\) | 1.63407e13 | − | 5.94754e12i | 1.29737 | − | 0.472203i | ||||
\(816\) | −1.17183e12 | −0.0925250 | ||||||||
\(817\) | 9.88925e11 | − | 2.96204e11i | 0.0776541 | − | 0.0232590i | ||||
\(818\) | 3.55268e12 | 0.277438 | ||||||||
\(819\) | 3.09932e10 | − | 1.12806e10i | 0.00240707 | − | 0.000876101i | ||||
\(820\) | −1.16255e12 | + | 6.59317e12i | −0.0897947 | + | 0.509251i | ||||
\(821\) | 7.93812e12 | − | 6.66088e12i | 0.609781 | − | 0.511667i | −0.284792 | − | 0.958589i | \(-0.591925\pi\) |
0.894573 | + | 0.446923i | \(0.147480\pi\) | |||||||
\(822\) | 3.32999e12 | + | 2.79419e12i | 0.254402 | + | 0.213468i | ||||
\(823\) | 5.16386e11 | + | 2.92857e12i | 0.0392352 | + | 0.222514i | 0.998121 | − | 0.0612796i | \(-0.0195181\pi\) |
−0.958885 | + | 0.283793i | \(0.908407\pi\) | |||||||
\(824\) | 2.22670e12 | + | 3.85676e12i | 0.168264 | + | 0.291441i | ||||
\(825\) | −8.57169e11 | + | 1.48466e12i | −0.0644205 | + | 0.111580i | ||||
\(826\) | 6.18578e10 | + | 2.25144e10i | 0.00462364 | + | 0.00168287i | ||||
\(827\) | 7.02649e12 | + | 2.55743e12i | 0.522353 | + | 0.190121i | 0.589721 | − | 0.807607i | \(-0.299238\pi\) |
−0.0673678 | + | 0.997728i | \(0.521460\pi\) | |||||||
\(828\) | 9.04741e11 | − | 1.56706e12i | 0.0668941 | − | 0.115864i | ||||
\(829\) | 9.45818e12 | + | 1.63820e13i | 0.695524 | + | 1.20468i | 0.970004 | + | 0.243090i | \(0.0781609\pi\) |
−0.274480 | + | 0.961593i | \(0.588506\pi\) | |||||||
\(830\) | 2.88570e12 | + | 1.63656e13i | 0.211057 | + | 1.19697i | ||||
\(831\) | −1.63485e12 | − | 1.37180e12i | −0.118925 | − | 0.0997899i | ||||
\(832\) | 1.01622e12 | − | 8.52706e11i | 0.0735243 | − | 0.0616942i | ||||
\(833\) | 2.03729e12 | − | 1.15540e13i | 0.146605 | − | 0.831441i | ||||
\(834\) | −1.94713e12 | + | 7.08697e11i | −0.139363 | + | 0.0507240i | ||||
\(835\) | 1.02842e13 | 0.732121 | ||||||||
\(836\) | 4.35463e12 | + | 1.87774e12i | 0.308335 | + | 0.132955i | ||||
\(837\) | −1.22514e12 | −0.0862820 | ||||||||
\(838\) | −1.21072e13 | + | 4.40667e12i | −0.848099 | + | 0.308683i | ||||
\(839\) | −3.21604e11 | + | 1.82391e12i | −0.0224075 | + | 0.127079i | −0.993960 | − | 0.109747i | \(-0.964996\pi\) |
0.971552 | + | 0.236826i | \(0.0761071\pi\) | |||||||
\(840\) | −8.48275e9 | + | 7.11787e9i | −0.000587868 | + | 0.000493280i | ||||
\(841\) | −7.82251e12 | − | 6.56386e12i | −0.539218 | − | 0.452457i | ||||
\(842\) | −2.77638e11 | − | 1.57457e12i | −0.0190360 | − | 0.107958i | ||||
\(843\) | −1.22087e12 | − | 2.11461e12i | −0.0832617 | − | 0.144214i | ||||
\(844\) | −3.72974e12 | + | 6.46010e12i | −0.253010 | + | 0.438226i | ||||
\(845\) | 6.85347e12 | + | 2.49446e12i | 0.462440 | + | 0.168314i | ||||
\(846\) | −9.74888e12 | − | 3.54830e12i | −0.654317 | − | 0.238152i | ||||
\(847\) | 1.69799e10 | − | 2.94101e10i | 0.00113360 | − | 0.00196346i | ||||
\(848\) | 1.78436e12 | + | 3.09060e12i | 0.118495 | + | 0.205240i | ||||
\(849\) | −1.35083e12 | − | 7.66094e12i | −0.0892311 | − | 0.506055i | ||||
\(850\) | 3.04614e12 | + | 2.55602e12i | 0.200154 | + | 0.167949i | ||||
\(851\) | 9.53883e11 | − | 8.00403e11i | 0.0623465 | − | 0.0523150i | ||||
\(852\) | −5.56873e9 | + | 3.15819e10i | −0.000362058 | + | 0.00205333i | ||||
\(853\) | 1.34731e13 | − | 4.90380e12i | 0.871357 | − | 0.317148i | 0.132641 | − | 0.991164i | \(-0.457654\pi\) |
0.738717 | + | 0.674016i | \(0.235432\pi\) | |||||||
\(854\) | 6.61829e10 | 0.00425780 | ||||||||
\(855\) | 1.51102e13 | + | 8.78107e11i | 0.966989 | + | 0.0561953i | ||||
\(856\) | −5.92257e12 | −0.377032 | ||||||||
\(857\) | 2.09877e13 | − | 7.63890e12i | 1.32908 | − | 0.483746i | 0.422724 | − | 0.906259i | \(-0.361074\pi\) |
0.906357 | + | 0.422513i | \(0.138852\pi\) | |||||||
\(858\) | −4.40586e11 | + | 2.49869e12i | −0.0277548 | + | 0.157405i | ||||
\(859\) | 1.67657e13 | − | 1.40681e13i | 1.05063 | − | 0.881587i | 0.0574740 | − | 0.998347i | \(-0.481695\pi\) |
0.993160 | + | 0.116760i | \(0.0372509\pi\) | |||||||
\(860\) | 5.97194e11 | + | 5.01105e11i | 0.0372282 | + | 0.0312382i | ||||
\(861\) | −4.37229e9 | − | 2.47965e10i | −0.000271141 | − | 0.00153772i | ||||
\(862\) | −2.20326e12 | − | 3.81616e12i | −0.135920 | − | 0.235420i | ||||
\(863\) | −1.26522e13 | + | 2.19143e13i | −0.776457 | + | 1.34486i | 0.157515 | + | 0.987517i | \(0.449652\pi\) |
−0.933972 | + | 0.357346i | \(0.883682\pi\) | |||||||
\(864\) | −2.15633e12 | − | 7.84839e11i | −0.131644 | − | 0.0479147i | ||||
\(865\) | −1.94775e13 | − | 7.08923e12i | −1.18294 | − | 0.430553i | ||||
\(866\) | 7.49035e12 | − | 1.29737e13i | 0.452555 | − | 0.783849i | ||||
\(867\) | 1.04726e12 | + | 1.81391e12i | 0.0629461 | + | 0.109026i | ||||
\(868\) | 6.52857e8 | + | 3.70254e9i | 3.90373e−5 | + | 0.000221391i | ||||
\(869\) | 6.80965e12 | + | 5.71398e12i | 0.405075 | + | 0.339899i | ||||
\(870\) | 2.61792e12 | − | 2.19669e12i | 0.154924 | − | 0.129997i | ||||
\(871\) | 1.70966e12 | − | 9.69598e12i | 0.100653 | − | 0.570834i | ||||
\(872\) | −2.31509e12 | + | 8.42623e11i | −0.135595 | + | 0.0493525i | ||||
\(873\) | 2.18803e13 | 1.27494 | ||||||||
\(874\) | −1.81373e12 | − | 3.61027e12i | −0.105141 | − | 0.209285i | ||||
\(875\) | −4.82806e10 | −0.00278443 | ||||||||
\(876\) | −1.82755e12 | + | 6.65174e11i | −0.104858 | + | 0.0381652i | ||||
\(877\) | −1.77940e12 | + | 1.00915e13i | −0.101572 | + | 0.576045i | 0.890962 | + | 0.454078i | \(0.150031\pi\) |
−0.992534 | + | 0.121967i | \(0.961080\pi\) | |||||||
\(878\) | −1.78060e13 | + | 1.49410e13i | −1.01121 | + | 0.848505i | ||||
\(879\) | 2.27046e12 | + | 1.90514e12i | 0.128281 | + | 0.107641i | ||||
\(880\) | 6.21862e11 | + | 3.52676e12i | 0.0349560 | + | 0.198246i | ||||
\(881\) | −9.30646e12 | − | 1.61193e13i | −0.520467 | − | 0.901475i | −0.999717 | − | 0.0237963i | \(-0.992425\pi\) |
0.479250 | − | 0.877678i | \(-0.340909\pi\) | |||||||
\(882\) | 5.13312e12 | − | 8.89082e12i | 0.285610 | − | 0.494690i | ||||
\(883\) | −4.46579e12 | − | 1.62541e12i | −0.247215 | − | 0.0899790i | 0.215441 | − | 0.976517i | \(-0.430881\pi\) |
−0.462656 | + | 0.886538i | \(0.653103\pi\) | |||||||
\(884\) | 5.53026e12 | + | 2.01285e12i | 0.304586 | + | 0.110860i | ||||
\(885\) | −8.08124e12 | + | 1.39971e13i | −0.442826 | + | 0.766997i | ||||
\(886\) | −2.63582e12 | − | 4.56538e12i | −0.143703 | − | 0.248900i | ||||
\(887\) | 2.06796e12 | + | 1.17280e13i | 0.112172 | + | 0.636161i | 0.988111 | + | 0.153739i | \(0.0491316\pi\) |
−0.875939 | + | 0.482422i | \(0.839757\pi\) | |||||||
\(888\) | −5.40549e11 | − | 4.53574e11i | −0.0291727 | − | 0.0244788i | ||||
\(889\) | −3.62897e10 | + | 3.04507e10i | −0.00194861 | + | 0.00163508i | ||||
\(890\) | 1.15352e12 | − | 6.54196e12i | 0.0616271 | − | 0.349504i | ||||
\(891\) | −5.46634e12 | + | 1.98959e12i | −0.290567 | + | 0.105758i | ||||
\(892\) | −1.43876e13 | −0.760934 | ||||||||
\(893\) | −1.85790e13 | + | 1.38353e13i | −0.977668 | + | 0.728043i | ||||
\(894\) | 3.13045e12 | 0.163903 | ||||||||
\(895\) | 7.82338e12 | − | 2.84748e12i | 0.407559 | − | 0.148339i | ||||
\(896\) | −1.22282e9 | + | 6.93495e9i | −6.33834e−5 | + | 0.000359465i | ||||
\(897\) | 1.65593e12 | − | 1.38949e12i | 0.0854035 | − | 0.0716620i | ||||
\(898\) | −5.60786e12 | − | 4.70555e12i | −0.287775 | − | 0.241472i | ||||
\(899\) | −2.01483e11 | − | 1.14267e12i | −0.0102877 | − | 0.0583446i | ||||
\(900\) | 1.73978e12 | + | 3.01339e12i | 0.0883901 | + | 0.153096i | ||||
\(901\) | −7.91607e12 | + | 1.37110e13i | −0.400173 | + | 0.693121i | ||||
\(902\) | −7.65185e12 | − | 2.78504e12i | −0.384890 | − | 0.140089i | ||||
\(903\) | −2.75514e9 | − | 1.00279e9i | −0.000137895 | − | 5.01897e-5i | ||||
\(904\) | −4.01497e12 | + | 6.95413e12i | −0.199951 | + | 0.346326i | ||||
\(905\) | −1.71217e13 | − | 2.96557e13i | −0.848456 | − | 1.46957i | ||||
\(906\) | 1.12234e12 | + | 6.36508e12i | 0.0553408 | + | 0.313854i | ||||
\(907\) | 1.25188e13 | + | 1.05045e13i | 0.614230 | + | 0.515400i | 0.895984 | − | 0.444087i | \(-0.146472\pi\) |
−0.281754 | + | 0.959487i | \(0.590916\pi\) | |||||||
\(908\) | 7.59578e12 | − | 6.37361e12i | 0.370839 | − | 0.311171i | ||||
\(909\) | 2.03855e12 | − | 1.15612e13i | 0.0990337 | − | 0.561648i | ||||
\(910\) | 5.22592e10 | − | 1.90208e10i | 0.00252625 | − | 0.000919481i | ||||
\(911\) | −3.63134e13 | −1.74676 | −0.873381 | − | 0.487037i | \(-0.838078\pi\) | ||||
−0.873381 | + | 0.487037i | \(0.838078\pi\) | |||||||
\(912\) | −1.83632e12 | + | 1.36746e12i | −0.0878964 | + | 0.0654541i | ||||
\(913\) | −2.02125e13 | −0.962721 | ||||||||
\(914\) | −1.14222e13 | + | 4.15735e12i | −0.541369 | + | 0.197042i | ||||
\(915\) | −2.82173e12 | + | 1.60028e13i | −0.133082 | + | 0.754747i | ||||
\(916\) | −1.20903e13 | + | 1.01450e13i | −0.567424 | + | 0.476125i | ||||
\(917\) | −3.52786e10 | − | 2.96023e10i | −0.00164759 | − | 0.00138249i | ||||
\(918\) | −1.76777e12 | − | 1.00255e13i | −0.0821551 | − | 0.465925i | ||||
\(919\) | −7.65155e12 | − | 1.32529e13i | −0.353858 | − | 0.612901i | 0.633064 | − | 0.774100i | \(-0.281797\pi\) |
−0.986922 | + | 0.161199i | \(0.948464\pi\) | |||||||
\(920\) | 1.52553e12 | − | 2.64230e12i | 0.0702063 | − | 0.121601i | ||||
\(921\) | −4.87658e12 | − | 1.77493e12i | −0.223330 | − | 0.0812855i | ||||
\(922\) | −2.36135e13 | − | 8.59459e12i | −1.07614 | − | 0.391684i | ||||
\(923\) | 8.05287e10 | − | 1.39480e11i | 0.00365210 | − | 0.00632563i | ||||
\(924\) | −6.73426e9 | − | 1.16641e10i | −0.000303925 | − | 0.000526413i | ||||
\(925\) | 4.15798e11 | + | 2.35811e12i | 0.0186743 | + | 0.105907i | ||||
\(926\) | 1.18893e13 | + | 9.97627e12i | 0.531380 | + | 0.445881i | ||||
\(927\) | −1.32435e13 | + | 1.11126e13i | −0.589039 | + | 0.494262i | ||||
\(928\) | 3.77382e11 | − | 2.14024e12i | 0.0167038 | − | 0.0947320i | ||||
\(929\) | 1.01842e13 | − | 3.70674e12i | 0.448596 | − | 0.163276i | −0.107836 | − | 0.994169i | \(-0.534392\pi\) |
0.556432 | + | 0.830893i | \(0.312170\pi\) | |||||||
\(930\) | −9.23096e11 | −0.0404645 | ||||||||
\(931\) | −1.02903e13 | − | 2.04832e13i | −0.448907 | − | 0.893559i | ||||
\(932\) | 1.41912e13 | 0.616097 | ||||||||
\(933\) | 1.41024e13 | − | 5.13287e12i | 0.609294 | − | 0.221765i | ||||
\(934\) | −2.89970e12 | + | 1.64450e13i | −0.124679 | + | 0.707087i | ||||
\(935\) | −1.21704e13 | + | 1.02122e13i | −0.520779 | + | 0.436985i | ||||
\(936\) | 3.94496e12 | + | 3.31021e12i | 0.167997 | + | 0.140966i | ||||
\(937\) | −3.25435e12 | − | 1.84563e13i | −0.137923 | − | 0.782199i | −0.972780 | − | 0.231732i | \(-0.925561\pi\) |
0.834857 | − | 0.550467i | \(-0.185550\pi\) | |||||||
\(938\) | 2.61318e10 | + | 4.52617e10i | 0.00110219 | + | 0.00190905i | ||||
\(939\) | −7.09870e12 | + | 1.22953e13i | −0.297977 | + | 0.516112i | ||||
\(940\) | −1.64381e13 | − | 5.98298e12i | −0.686714 | − | 0.249944i | ||||
\(941\) | 4.48178e12 | + | 1.63123e12i | 0.186336 | + | 0.0678208i | 0.433503 | − | 0.901152i | \(-0.357277\pi\) |
−0.247167 | + | 0.968973i | \(0.579500\pi\) | |||||||
\(942\) | 9.45922e11 | − | 1.63838e12i | 0.0391405 | − | 0.0677933i | ||||
\(943\) | 3.46879e12 | + | 6.00812e12i | 0.142848 | + | 0.247421i | ||||
\(944\) | 1.78479e12 | + | 1.01220e13i | 0.0731498 | + | 0.414853i | ||||
\(945\) | −7.36933e10 | − | 6.18360e10i | −0.00300597 | − | 0.00252231i | ||||
\(946\) | −7.26362e11 | + | 6.09490e11i | −0.0294878 | + | 0.0247432i | ||||
\(947\) | −7.29799e12 | + | 4.13889e13i | −0.294868 | + | 1.67228i | 0.372869 | + | 0.927884i | \(0.378374\pi\) |
−0.667737 | + | 0.744397i | \(0.732737\pi\) | |||||||
\(948\) | −4.03296e12 | + | 1.46788e12i | −0.162176 | + | 0.0590271i | ||||
\(949\) | 9.76739e12 | 0.390913 | ||||||||
\(950\) | 7.75617e12 | + | 4.50740e11i | 0.308952 | + | 0.0179544i | ||||
\(951\) | 1.72351e13 | 0.683283 | ||||||||
\(952\) | −2.93566e10 | + | 1.06849e10i | −0.00115835 | + | 0.000421604i | ||||
\(953\) | 4.68433e12 | − | 2.65661e13i | 0.183962 | − | 1.04330i | −0.743319 | − | 0.668937i | \(-0.766750\pi\) |
0.927281 | − | 0.374365i | \(-0.122139\pi\) | |||||||
\(954\) | −1.06126e13 | + | 8.90505e12i | −0.414815 | + | 0.348071i | ||||
\(955\) | 5.73606e12 | + | 4.81312e12i | 0.223151 | + | 0.187246i | ||||
\(956\) | −3.65592e12 | − | 2.07337e13i | −0.141558 | − | 0.802817i | ||||
\(957\) | 2.07831e12 | + | 3.59973e12i | 0.0800951 | + | 0.138729i | ||||
\(958\) | 8.57691e12 | − | 1.48557e13i | 0.328993 | − | 0.569832i | ||||
\(959\) | 1.08900e11 | + | 3.96365e10i | 0.00415763 | + | 0.00151325i | ||||
\(960\) | −1.62471e12 | − | 5.91347e11i | −0.0617385 | − | 0.0224710i | ||||
\(961\) | 1.30631e13 | − | 2.26260e13i | 0.494073 | − | 0.855760i | ||||
\(962\) | 1.77193e12 | + | 3.06906e12i | 0.0667049 | + | 0.115536i | ||||
\(963\) | −3.99243e12 | − | 2.26422e13i | −0.149595 | − | 0.848398i | ||||
\(964\) | 6.99078e12 | + | 5.86596e12i | 0.260723 | + | 0.218772i | ||||
\(965\) | −1.46028e13 | + | 1.22532e13i | −0.542078 | + | 0.454858i | ||||
\(966\) | −1.99259e9 | + | 1.13005e10i | −7.36242e−5 | + | 0.000417543i | ||||
\(967\) | −2.95541e13 | + | 1.07568e13i | −1.08692 | + | 0.395608i | −0.822480 | − | 0.568794i | \(-0.807410\pi\) |
−0.264443 | + | 0.964401i | \(0.585188\pi\) | |||||||
\(968\) | 5.30242e12 | 0.194104 | ||||||||
\(969\) | −9.32707e12 | − | 4.02188e12i | −0.339851 | − | 0.146545i | ||||
\(970\) | 3.68936e13 | 1.33807 | ||||||||
\(971\) | 2.96951e13 | − | 1.08081e13i | 1.07201 | − | 0.390179i | 0.255080 | − | 0.966920i | \(-0.417898\pi\) |
0.816927 | + | 0.576741i | \(0.195676\pi\) | |||||||
\(972\) | 2.40252e12 | − | 1.36254e13i | 0.0863316 | − | 0.489611i | ||||
\(973\) | −4.23172e10 | + | 3.55084e10i | −0.00151359 | + | 0.00127006i | ||||
\(974\) | 1.86716e13 | + | 1.56674e13i | 0.664763 | + | 0.557802i | ||||
\(975\) | 7.21819e11 | + | 4.09364e12i | 0.0255804 | + | 0.145074i | ||||
\(976\) | 5.16683e12 | + | 8.94921e12i | 0.182264 | + | 0.315690i | ||||
\(977\) | −1.16884e13 | + | 2.02450e13i | −0.410423 | + | 0.710873i | −0.994936 | − | 0.100511i | \(-0.967952\pi\) |
0.584513 | + | 0.811384i | \(0.301285\pi\) | |||||||
\(978\) | −9.59568e12 | − | 3.49254e12i | −0.335391 | − | 0.122072i | ||||
\(979\) | 7.59241e12 | + | 2.76341e12i | 0.264154 | + | 0.0961442i | ||||
\(980\) | 8.65522e12 | − | 1.49913e13i | 0.299751 | − | 0.519184i | ||||
\(981\) | −4.78198e12 | − | 8.28264e12i | −0.164853 | − | 0.285534i | ||||
\(982\) | 6.23816e12 | + | 3.53784e13i | 0.214070 | + | 1.21405i | ||||
\(983\) | 2.62894e13 | + | 2.20595e13i | 0.898029 | + | 0.753536i | 0.969804 | − | 0.243885i | \(-0.0784220\pi\) |
−0.0717752 | + | 0.997421i | \(0.522866\pi\) | |||||||
\(984\) | 3.01163e12 | − | 2.52705e12i | 0.102405 | − | 0.0859284i | ||||
\(985\) | 9.75166e12 | − | 5.53044e13i | 0.330077 | − | 1.87196i | ||||
\(986\) | 9.05992e12 | − | 3.29754e12i | 0.305266 | − | 0.111108i | ||||
\(987\) | 6.57903e10 | 0.00220665 | ||||||||
\(988\) | 1.10151e13 | − | 3.29925e12i | 0.367774 | − | 0.110156i | ||||
\(989\) | 8.07842e11 | 0.0268499 | ||||||||
\(990\) | −1.30637e13 | + | 4.75480e12i | −0.432223 | + | 0.157316i | ||||
\(991\) | −7.51635e12 | + | 4.26273e13i | −0.247557 | + | 1.40397i | 0.566921 | + | 0.823772i | \(0.308134\pi\) |
−0.814478 | + | 0.580194i | \(0.802977\pi\) | |||||||
\(992\) | −4.49687e11 | + | 3.77332e11i | −0.0147437 | + | 0.0123715i | ||||
\(993\) | 1.41976e13 | + | 1.19132e13i | 0.463388 | + | 0.388828i | ||||
\(994\) | 1.48460e8 | + | 8.41961e8i | 4.82361e−6 | + | 2.73560e-5i | ||||
\(995\) | −1.54688e13 | − | 2.67927e13i | −0.500325 | − | 0.866589i | ||||
\(996\) | 4.87928e12 | − | 8.45116e12i | 0.157104 | − | 0.272113i | ||||
\(997\) | 5.78370e13 | + | 2.10509e13i | 1.85386 | + | 0.674751i | 0.983106 | + | 0.183037i | \(0.0585927\pi\) |
0.870757 | + | 0.491714i | \(0.163629\pi\) | |||||||
\(998\) | 1.88939e13 | + | 6.87680e12i | 0.602883 | + | 0.219432i | ||||
\(999\) | 3.06508e12 | − | 5.30888e12i | 0.0973638 | − | 0.168639i |
(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.5.5 | ✓ | 42 | |
19.4 | even | 9 | inner | 38.10.e.a.23.5 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
38.10.e.a.5.5 | ✓ | 42 | 1.1 | even | 1 | trivial | |
38.10.e.a.23.5 | yes | 42 | 19.4 | even | 9 | inner |