Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,8,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), 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: | \(13.4325560958\) |
Analytic rank: | \(0\) |
Dimension: | \(300\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 24.3 | ||
Character | \(\chi\) | \(=\) | 43.24 |
Dual form | 43.8.g.a.9.3 |
$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −11.9571 | + | 14.9937i | −1.05687 | + | 1.32527i | −0.113491 | + | 0.993539i | \(0.536203\pi\) |
−0.943375 | + | 0.331729i | \(0.892368\pi\) | |||||||
\(3\) | 22.8341 | − | 3.44169i | 0.488270 | − | 0.0735948i | 0.0997064 | − | 0.995017i | \(-0.468210\pi\) |
0.388563 | + | 0.921422i | \(0.372972\pi\) | |||||||
\(4\) | −53.3566 | − | 233.771i | −0.416849 | − | 1.82633i | ||||
\(5\) | −375.006 | + | 255.675i | −1.34166 | + | 0.914730i | −0.999688 | − | 0.0249798i | \(-0.992048\pi\) |
−0.341974 | + | 0.939709i | \(0.611095\pi\) | |||||||
\(6\) | −221.425 | + | 383.520i | −0.418503 | + | 0.724868i | ||||
\(7\) | 97.1595 | + | 168.285i | 0.107064 | + | 0.185440i | 0.914579 | − | 0.404406i | \(-0.132522\pi\) |
−0.807516 | + | 0.589846i | \(0.799188\pi\) | |||||||
\(8\) | 1931.43 | + | 930.128i | 1.33372 | + | 0.642285i | ||||
\(9\) | −1580.29 | + | 487.454i | −0.722582 | + | 0.222887i | ||||
\(10\) | 650.465 | − | 8679.85i | 0.205695 | − | 2.74481i | ||||
\(11\) | 341.242 | − | 1495.08i | 0.0773016 | − | 0.338681i | −0.921458 | − | 0.388479i | \(-0.873001\pi\) |
0.998759 | + | 0.0497982i | \(0.0158578\pi\) | |||||||
\(12\) | −2022.92 | − | 5154.31i | −0.337943 | − | 0.861065i | ||||
\(13\) | −530.539 | − | 7079.55i | −0.0669755 | − | 0.893726i | −0.924964 | − | 0.380056i | \(-0.875905\pi\) |
0.857988 | − | 0.513670i | \(-0.171714\pi\) | |||||||
\(14\) | −3684.96 | − | 555.418i | −0.358909 | − | 0.0540969i | ||||
\(15\) | −7682.97 | + | 7128.76i | −0.587773 | + | 0.545374i | ||||
\(16\) | −9387.64 | + | 4520.85i | −0.572976 | + | 0.275931i | ||||
\(17\) | −1402.53 | − | 956.230i | −0.0692375 | − | 0.0472053i | 0.528207 | − | 0.849116i | \(-0.322865\pi\) |
−0.597444 | + | 0.801911i | \(0.703817\pi\) | |||||||
\(18\) | 11586.9 | − | 29522.9i | 0.468287 | − | 1.19318i | ||||
\(19\) | 27686.2 | + | 8540.07i | 0.926033 | + | 0.285643i | 0.720858 | − | 0.693082i | \(-0.243748\pi\) |
0.205174 | + | 0.978725i | \(0.434224\pi\) | |||||||
\(20\) | 79778.3 | + | 74023.4i | 2.22987 | + | 2.06902i | ||||
\(21\) | 2797.74 | + | 3508.25i | 0.0659233 | + | 0.0826652i | ||||
\(22\) | 18336.5 | + | 22993.3i | 0.367145 | + | 0.460385i | ||||
\(23\) | 38198.8 | + | 35443.3i | 0.654640 | + | 0.607417i | 0.935922 | − | 0.352208i | \(-0.114569\pi\) |
−0.281282 | + | 0.959625i | \(0.590760\pi\) | |||||||
\(24\) | 47303.7 | + | 14591.3i | 0.698483 | + | 0.215454i | ||||
\(25\) | 46717.6 | − | 119035.i | 0.597985 | − | 1.52364i | ||||
\(26\) | 112492. | + | 76696.0i | 1.25521 | + | 0.855788i | ||||
\(27\) | −79907.7 | + | 38481.5i | −0.781296 | + | 0.376252i | ||||
\(28\) | 34156.0 | − | 31692.2i | 0.294045 | − | 0.272834i | ||||
\(29\) | 67958.2 | + | 10243.0i | 0.517427 | + | 0.0779895i | 0.402564 | − | 0.915392i | \(-0.368119\pi\) |
0.114863 | + | 0.993381i | \(0.463357\pi\) | |||||||
\(30\) | −15020.5 | − | 200435.i | −0.101569 | − | 1.35534i | ||||
\(31\) | −87693.5 | − | 223439.i | −0.528690 | − | 1.34708i | −0.906894 | − | 0.421358i | \(-0.861553\pi\) |
0.378204 | − | 0.925722i | \(-0.376542\pi\) | |||||||
\(32\) | −16594.6 | + | 72705.7i | −0.0895245 | + | 0.392233i | ||||
\(33\) | 2646.36 | − | 35313.3i | 0.0128189 | − | 0.171056i | ||||
\(34\) | 31107.6 | − | 9595.42i | 0.135735 | − | 0.0418686i | ||||
\(35\) | −79461.7 | − | 38266.7i | −0.313270 | − | 0.150863i | ||||
\(36\) | 198271. | + | 343416.i | 0.708273 | + | 1.22677i | ||||
\(37\) | −158938. | + | 275289.i | −0.515849 | + | 0.893476i | 0.483982 | + | 0.875078i | \(0.339190\pi\) |
−0.999831 | + | 0.0183981i | \(0.994143\pi\) | |||||||
\(38\) | −459094. | + | 313005.i | −1.35725 | + | 0.925355i | ||||
\(39\) | −36480.0 | − | 159829.i | −0.0984756 | − | 0.431450i | ||||
\(40\) | −962108. | + | 145015.i | −2.37692 | + | 0.358263i | ||||
\(41\) | 416961. | − | 522853.i | 0.944827 | − | 1.18478i | −0.0378194 | − | 0.999285i | \(-0.512041\pi\) |
0.982646 | − | 0.185491i | \(-0.0593874\pi\) | |||||||
\(42\) | −86054.4 | −0.179226 | ||||||||
\(43\) | 110319. | − | 509557.i | 0.211598 | − | 0.977357i | ||||
\(44\) | −367714. | −0.650767 | ||||||||
\(45\) | 467987. | − | 586837.i | 0.765579 | − | 0.960006i | ||||
\(46\) | −988172. | + | 148943.i | −1.49686 | + | 0.225615i | ||||
\(47\) | −93521.6 | − | 409745.i | −0.131392 | − | 0.575666i | −0.997166 | − | 0.0752312i | \(-0.976031\pi\) |
0.865774 | − | 0.500435i | \(-0.166827\pi\) | |||||||
\(48\) | −198799. | + | 135539.i | −0.259460 | + | 0.176897i | ||||
\(49\) | 392892. | − | 680508.i | 0.477075 | − | 0.826318i | ||||
\(50\) | 1.22616e6 | + | 2.12377e6i | 1.38724 | + | 2.40278i | ||||
\(51\) | −35316.6 | − | 17007.6i | −0.0372806 | − | 0.0179534i | ||||
\(52\) | −1.62668e6 | + | 501766.i | −1.60432 | + | 0.494868i | ||||
\(53\) | 2888.29 | − | 38541.5i | 0.00266486 | − | 0.0355601i | −0.995713 | − | 0.0924983i | \(-0.970515\pi\) |
0.998378 | + | 0.0569382i | \(0.0181338\pi\) | |||||||
\(54\) | 378482. | − | 1.65824e6i | 0.327090 | − | 1.43308i | ||||
\(55\) | 254286. | + | 647911.i | 0.206088 | + | 0.525105i | ||||
\(56\) | 31130.1 | + | 415402.i | 0.0236877 | + | 0.316090i | ||||
\(57\) | 661583. | + | 99717.6i | 0.473175 | + | 0.0713197i | ||||
\(58\) | −966162. | + | 896467.i | −0.650207 | + | 0.603304i | ||||
\(59\) | −1.77090e6 | + | 852819.i | −1.12256 | + | 0.540599i | −0.900684 | − | 0.434475i | \(-0.856934\pi\) |
−0.221881 | + | 0.975074i | \(0.571220\pi\) | |||||||
\(60\) | 2.07643e6 | + | 1.41569e6i | 1.24105 | + | 0.846132i | ||||
\(61\) | 185527. | − | 472715.i | 0.104653 | − | 0.266652i | −0.868950 | − | 0.494900i | \(-0.835205\pi\) |
0.973603 | + | 0.228248i | \(0.0732998\pi\) | |||||||
\(62\) | 4.39874e6 | + | 1.35683e6i | 2.34400 | + | 0.723028i | ||||
\(63\) | −235571. | − | 218578.i | −0.118694 | − | 0.110132i | ||||
\(64\) | −1.72325e6 | − | 2.16089e6i | −0.821710 | − | 1.03039i | ||||
\(65\) | 2.00902e6 | + | 2.51923e6i | 0.907376 | + | 1.13781i | ||||
\(66\) | 497834. | + | 461922.i | 0.213148 | + | 0.197772i | ||||
\(67\) | −2.98687e6 | − | 921326.i | −1.21326 | − | 0.374241i | −0.378888 | − | 0.925443i | \(-0.623693\pi\) |
−0.834372 | + | 0.551201i | \(0.814170\pi\) | |||||||
\(68\) | −148704. | + | 378892.i | −0.0573511 | + | 0.146128i | ||||
\(69\) | 994221. | + | 677848.i | 0.364343 | + | 0.248405i | ||||
\(70\) | 1.52389e6 | − | 733866.i | 0.531019 | − | 0.255725i | ||||
\(71\) | −2.66957e6 | + | 2.47700e6i | −0.885190 | + | 0.821337i | −0.984800 | − | 0.173690i | \(-0.944431\pi\) |
0.0996101 | + | 0.995027i | \(0.468240\pi\) | |||||||
\(72\) | −3.50561e6 | − | 528386.i | −1.10688 | − | 0.166835i | ||||
\(73\) | −312698. | − | 4.17267e6i | −0.0940796 | − | 1.25540i | −0.821898 | − | 0.569635i | \(-0.807085\pi\) |
0.727818 | − | 0.685770i | \(-0.240534\pi\) | |||||||
\(74\) | −2.22716e6 | − | 5.67472e6i | −0.638912 | − | 1.62792i | ||||
\(75\) | 657075. | − | 2.87884e6i | 0.179846 | − | 0.787957i | ||||
\(76\) | 519174. | − | 6.92790e6i | 0.135664 | − | 1.81031i | ||||
\(77\) | 284755. | − | 87835.2i | 0.0710810 | − | 0.0219256i | ||||
\(78\) | 2.83263e6 | + | 1.36412e6i | 0.675862 | + | 0.325478i | ||||
\(79\) | −2.34401e6 | − | 4.05994e6i | −0.534890 | − | 0.926457i | −0.999169 | − | 0.0407677i | \(-0.987020\pi\) |
0.464278 | − | 0.885689i | \(-0.346314\pi\) | |||||||
\(80\) | 2.36455e6 | − | 4.09553e6i | 0.516338 | − | 0.894324i | ||||
\(81\) | 1.29613e6 | − | 883690.i | 0.270990 | − | 0.184758i | ||||
\(82\) | 2.85386e6 | + | 1.25036e7i | 0.571589 | + | 2.50430i | ||||
\(83\) | 4.52040e6 | − | 681341.i | 0.867769 | − | 0.130795i | 0.299956 | − | 0.953953i | \(-0.403028\pi\) |
0.567813 | + | 0.823158i | \(0.307790\pi\) | |||||||
\(84\) | 670848. | − | 841217.i | 0.123494 | − | 0.154857i | ||||
\(85\) | 770442. | 0.136073 | ||||||||
\(86\) | 6.32105e6 | + | 7.74690e6i | 1.07163 | + | 1.31336i | ||||
\(87\) | 1.58702e6 | 0.258383 | ||||||||
\(88\) | 2.04970e6 | − | 2.57025e6i | 0.320628 | − | 0.402055i | ||||
\(89\) | −1.01819e7 | + | 1.53467e6i | −1.53095 | + | 0.230754i | −0.859826 | − | 0.510587i | \(-0.829428\pi\) |
−0.671128 | + | 0.741341i | \(0.734190\pi\) | |||||||
\(90\) | 3.20310e6 | + | 1.40337e7i | 0.463151 | + | 2.02920i | ||||
\(91\) | 1.13984e6 | − | 777128.i | 0.158562 | − | 0.108105i | ||||
\(92\) | 6.24745e6 | − | 1.08209e7i | 0.836460 | − | 1.44879i | ||||
\(93\) | −2.77141e6 | − | 4.80022e6i | −0.357282 | − | 0.618830i | ||||
\(94\) | 7.26183e6 | + | 3.49711e6i | 0.901776 | + | 0.434272i | ||||
\(95\) | −1.25660e7 | + | 3.87609e6i | −1.50371 | + | 0.463833i | ||||
\(96\) | −128693. | + | 1.71728e6i | −0.0148458 | + | 0.198104i | ||||
\(97\) | −2.58712e6 | + | 1.13349e7i | −0.287816 | + | 1.26100i | 0.599699 | + | 0.800225i | \(0.295287\pi\) |
−0.887515 | + | 0.460778i | \(0.847570\pi\) | |||||||
\(98\) | 5.50550e6 | + | 1.40278e7i | 0.590888 | + | 1.50556i | ||||
\(99\) | 189522. | + | 2.52900e6i | 0.0196307 | + | 0.261954i | ||||
\(100\) | −3.03195e7 | − | 4.56993e6i | −3.03195 | − | 0.456993i | ||||
\(101\) | 1.30825e7 | − | 1.21388e7i | 1.26347 | − | 1.17233i | 0.286710 | − | 0.958017i | \(-0.407438\pi\) |
0.976764 | − | 0.214315i | \(-0.0687521\pi\) | |||||||
\(102\) | 677290. | − | 326166.i | 0.0631937 | − | 0.0304325i | ||||
\(103\) | 1.39028e7 | + | 9.47877e6i | 1.25364 | + | 0.854715i | 0.993827 | − | 0.110944i | \(-0.0353875\pi\) |
0.259811 | + | 0.965660i | \(0.416340\pi\) | |||||||
\(104\) | 5.56019e6 | − | 1.41671e7i | 0.484700 | − | 1.23500i | ||||
\(105\) | −1.94614e6 | − | 600304.i | −0.164063 | − | 0.0506068i | ||||
\(106\) | 543344. | + | 504149.i | 0.0443103 | + | 0.0411139i | ||||
\(107\) | −1.08849e7 | − | 1.36492e7i | −0.858974 | − | 1.07712i | −0.996244 | − | 0.0865853i | \(-0.972404\pi\) |
0.137271 | − | 0.990534i | \(-0.456167\pi\) | |||||||
\(108\) | 1.32595e7 | + | 1.66268e7i | 1.01284 | + | 1.27007i | ||||
\(109\) | −1.17105e7 | − | 1.08658e7i | −0.866131 | − | 0.803652i | 0.115724 | − | 0.993281i | \(-0.463081\pi\) |
−0.981856 | + | 0.189629i | \(0.939272\pi\) | |||||||
\(110\) | −1.27551e7 | − | 3.93443e6i | −0.913713 | − | 0.281843i | ||||
\(111\) | −2.68175e6 | + | 6.83300e6i | −0.186118 | + | 0.474221i | ||||
\(112\) | −1.67289e6 | − | 1.14056e6i | −0.112513 | − | 0.0767104i | ||||
\(113\) | 7.43817e6 | − | 3.58204e6i | 0.484944 | − | 0.233537i | −0.175404 | − | 0.984497i | \(-0.556123\pi\) |
0.660348 | + | 0.750960i | \(0.270409\pi\) | |||||||
\(114\) | −9.40573e6 | + | 8.72724e6i | −0.594601 | + | 0.551709i | ||||
\(115\) | −2.33867e7 | − | 3.52498e6i | −1.43393 | − | 0.216130i | ||||
\(116\) | −1.23150e6 | − | 1.64332e7i | −0.0732537 | − | 0.977503i | ||||
\(117\) | 4.28936e6 | + | 1.09291e7i | 0.247595 | + | 0.630862i | ||||
\(118\) | 8.38784e6 | − | 3.67495e7i | 0.469962 | − | 2.05904i | ||||
\(119\) | 24650.1 | − | 328932.i | 0.00134092 | − | 0.0178934i | ||||
\(120\) | −2.14698e7 | + | 6.62255e6i | −1.13421 | + | 0.349858i | ||||
\(121\) | 1.54385e7 | + | 7.43480e6i | 0.792240 | + | 0.381523i | ||||
\(122\) | 4.86939e6 | + | 8.43402e6i | 0.242781 | + | 0.420509i | ||||
\(123\) | 7.72144e6 | − | 1.33739e7i | 0.374137 | − | 0.648024i | ||||
\(124\) | −4.75545e7 | + | 3.24221e7i | −2.23983 | + | 1.52709i | ||||
\(125\) | 5.02444e6 | + | 2.20135e7i | 0.230093 | + | 1.00810i | ||||
\(126\) | 6.09403e6 | − | 918528.i | 0.271399 | − | 0.0409068i | ||||
\(127\) | −1.73340e7 | + | 2.17361e7i | −0.750905 | + | 0.941606i | −0.999636 | − | 0.0269670i | \(-0.991415\pi\) |
0.248731 | + | 0.968573i | \(0.419987\pi\) | |||||||
\(128\) | 4.34591e7 | 1.83166 | ||||||||
\(129\) | 765305. | − | 1.20150e7i | 0.0313885 | − | 0.492786i | ||||
\(130\) | −6.17945e7 | −2.46688 | ||||||||
\(131\) | 4.94206e6 | − | 6.19714e6i | 0.192069 | − | 0.240847i | −0.676467 | − | 0.736473i | \(-0.736490\pi\) |
0.868536 | + | 0.495626i | \(0.165061\pi\) | |||||||
\(132\) | −8.39641e6 | + | 1.26556e6i | −0.317750 | + | 0.0478930i | ||||
\(133\) | 1.25281e6 | + | 5.48893e6i | 0.0461748 | + | 0.202305i | ||||
\(134\) | 4.95283e7 | − | 3.37678e7i | 1.77822 | − | 1.21237i | ||||
\(135\) | 2.01271e7 | − | 3.48612e7i | 0.704066 | − | 1.21948i | ||||
\(136\) | −1.81948e6 | − | 3.15143e6i | −0.0620241 | − | 0.107429i | ||||
\(137\) | −1.94855e7 | − | 9.38371e6i | −0.647424 | − | 0.311783i | 0.0811988 | − | 0.996698i | \(-0.474125\pi\) |
−0.728623 | + | 0.684915i | \(0.759839\pi\) | |||||||
\(138\) | −2.20514e7 | + | 6.80196e6i | −0.714265 | + | 0.220322i | ||||
\(139\) | −302861. | + | 4.04140e6i | −0.00956516 | + | 0.127638i | −0.999942 | − | 0.0107578i | \(-0.996576\pi\) |
0.990377 | + | 0.138396i | \(0.0441947\pi\) | |||||||
\(140\) | −4.70583e6 | + | 2.06176e7i | −0.144940 | + | 0.635023i | ||||
\(141\) | −3.54569e6 | − | 9.03428e6i | −0.106521 | − | 0.271411i | ||||
\(142\) | −5.21912e6 | − | 6.96443e7i | −0.152964 | − | 2.04116i | ||||
\(143\) | −1.07655e7 | − | 1.62265e6i | −0.307865 | − | 0.0464032i | ||||
\(144\) | 1.26315e7 | − | 1.17203e7i | 0.352521 | − | 0.327092i | ||||
\(145\) | −2.81036e7 | + | 1.35340e7i | −0.765551 | + | 0.368670i | ||||
\(146\) | 6.63027e7 | + | 4.52044e7i | 1.76318 | + | 1.20211i | ||||
\(147\) | 6.62923e6 | − | 1.68910e7i | 0.172128 | − | 0.438576i | ||||
\(148\) | 7.28349e7 | + | 2.24666e7i | 1.84682 | + | 0.569667i | ||||
\(149\) | −2.12831e7 | − | 1.97478e7i | −0.527087 | − | 0.489065i | 0.371153 | − | 0.928572i | \(-0.378963\pi\) |
−0.898239 | + | 0.439507i | \(0.855153\pi\) | |||||||
\(150\) | 3.53077e7 | + | 4.42744e7i | 0.854181 | + | 1.07111i | ||||
\(151\) | 6.86162e6 | + | 8.60421e6i | 0.162184 | + | 0.203372i | 0.856282 | − | 0.516508i | \(-0.172768\pi\) |
−0.694099 | + | 0.719880i | \(0.744197\pi\) | |||||||
\(152\) | 4.55307e7 | + | 4.22463e7i | 1.05160 | + | 0.975745i | ||||
\(153\) | 2.68252e6 | + | 827448.i | 0.0605512 | + | 0.0186776i | ||||
\(154\) | −2.08786e6 | + | 5.31978e6i | −0.0460658 | + | 0.117374i | ||||
\(155\) | 9.00133e7 | + | 6.13701e7i | 1.94154 | + | 1.32372i | ||||
\(156\) | −3.54170e7 | + | 1.70559e7i | −0.746922 | + | 0.359699i | ||||
\(157\) | 5.06323e7 | − | 4.69799e7i | 1.04419 | − | 0.968865i | 0.0446420 | − | 0.999003i | \(-0.485785\pi\) |
0.999546 | + | 0.0301385i | \(0.00959482\pi\) | |||||||
\(158\) | 8.89011e7 | + | 1.33997e7i | 1.79311 | + | 0.270268i | ||||
\(159\) | −66696.4 | − | 890001.i | −0.00131587 | − | 0.0175590i | ||||
\(160\) | −1.23659e7 | − | 3.15079e7i | −0.238675 | − | 0.608134i | ||||
\(161\) | −2.25321e6 | + | 9.87195e6i | −0.0425511 | + | 0.186428i | ||||
\(162\) | −2.24820e6 | + | 3.00002e7i | −0.0415464 | + | 0.554398i | ||||
\(163\) | 3.49013e7 | − | 1.07656e7i | 0.631225 | − | 0.194707i | 0.0373989 | − | 0.999300i | \(-0.488093\pi\) |
0.593826 | + | 0.804593i | \(0.297617\pi\) | |||||||
\(164\) | −1.44475e8 | − | 6.95756e7i | −2.55764 | − | 1.23170i | ||||
\(165\) | 8.03631e6 | + | 1.39193e7i | 0.139272 | + | 0.241226i | ||||
\(166\) | −4.38350e7 | + | 7.59244e7i | −0.743777 | + | 1.28826i | ||||
\(167\) | 8.64868e7 | − | 5.89657e7i | 1.43695 | − | 0.979697i | 0.440307 | − | 0.897847i | \(-0.354870\pi\) |
0.996645 | − | 0.0818497i | \(-0.0260828\pi\) | |||||||
\(168\) | 2.14051e6 | + | 9.37820e6i | 0.0348285 | + | 0.152594i | ||||
\(169\) | 1.22090e7 | − | 1.84022e6i | 0.194571 | − | 0.0293269i | ||||
\(170\) | −9.21223e6 | + | 1.15518e7i | −0.143811 | + | 0.180334i | ||||
\(171\) | −4.79151e7 | −0.732800 | ||||||||
\(172\) | −1.25006e8 | + | 1.39884e6i | −1.87318 | + | 0.0209613i | ||||
\(173\) | −6.28442e7 | −0.922792 | −0.461396 | − | 0.887194i | \(-0.652651\pi\) | ||||
−0.461396 | + | 0.887194i | \(0.652651\pi\) | |||||||
\(174\) | −1.89761e7 | + | 2.37953e7i | −0.273076 | + | 0.342427i | ||||
\(175\) | 2.45708e7 | − | 3.70345e6i | 0.346566 | − | 0.0522365i | ||||
\(176\) | 3.55558e6 | + | 1.55780e7i | 0.0491604 | + | 0.215386i | ||||
\(177\) | −3.75017e7 | + | 2.55682e7i | −0.508329 | + | 0.346573i | ||||
\(178\) | 9.87349e7 | − | 1.71014e8i | 1.31220 | − | 2.27280i | ||||
\(179\) | 2.42377e7 | + | 4.19809e7i | 0.315868 | + | 0.547100i | 0.979622 | − | 0.200852i | \(-0.0643709\pi\) |
−0.663754 | + | 0.747951i | \(0.731038\pi\) | |||||||
\(180\) | −1.62156e8 | − | 7.80900e7i | −2.07242 | − | 0.998026i | ||||
\(181\) | −4.58122e7 | + | 1.41312e7i | −0.574256 | + | 0.177135i | −0.568262 | − | 0.822847i | \(-0.692384\pi\) |
−0.00599396 | + | 0.999982i | \(0.501908\pi\) | |||||||
\(182\) | −1.97710e6 | + | 2.63825e7i | −0.0243096 | + | 0.324390i | ||||
\(183\) | 2.60941e6 | − | 1.14326e7i | 0.0314748 | − | 0.137900i | ||||
\(184\) | 4.08115e7 | + | 1.03986e8i | 0.482971 | + | 1.23059i | ||||
\(185\) | −1.07817e7 | − | 1.43871e8i | −0.125195 | − | 1.67060i | ||||
\(186\) | 1.05111e8 | + | 1.58429e7i | 1.19771 | + | 0.180526i | ||||
\(187\) | −1.90824e6 | + | 1.77059e6i | −0.0213397 | + | 0.0198004i | ||||
\(188\) | −9.07963e7 | + | 4.37252e7i | −0.996588 | + | 0.479932i | ||||
\(189\) | −1.42397e7 | − | 9.70844e6i | −0.153421 | − | 0.104600i | ||||
\(190\) | 9.21354e7 | − | 2.34757e8i | 0.974516 | − | 2.48303i | ||||
\(191\) | −1.30981e7 | − | 4.04024e6i | −0.136017 | − | 0.0419557i | 0.225999 | − | 0.974127i | \(-0.427435\pi\) |
−0.362016 | + | 0.932172i | \(0.617911\pi\) | |||||||
\(192\) | −4.67860e7 | − | 4.34111e7i | −0.477047 | − | 0.442635i | ||||
\(193\) | 8.40662e7 | + | 1.05416e8i | 0.841727 | + | 1.05549i | 0.997704 | + | 0.0677310i | \(0.0215760\pi\) |
−0.155977 | + | 0.987761i | \(0.549853\pi\) | |||||||
\(194\) | −1.39018e8 | − | 1.74323e8i | −1.36698 | − | 1.71414i | ||||
\(195\) | 5.45445e7 | + | 5.06099e7i | 0.526781 | + | 0.488781i | ||||
\(196\) | −1.80046e8 | − | 5.55369e7i | −1.70800 | − | 0.526848i | ||||
\(197\) | −4.06233e7 | + | 1.03506e8i | −0.378567 | + | 0.964574i | 0.606910 | + | 0.794770i | \(0.292409\pi\) |
−0.985478 | + | 0.169804i | \(0.945687\pi\) | |||||||
\(198\) | −4.01851e7 | − | 2.73978e7i | −0.367906 | − | 0.250834i | ||||
\(199\) | −7.11551e7 | + | 3.42665e7i | −0.640059 | + | 0.308236i | −0.725619 | − | 0.688097i | \(-0.758446\pi\) |
0.0855598 | + | 0.996333i | \(0.472732\pi\) | |||||||
\(200\) | 2.00949e8 | − | 1.86454e8i | 1.77616 | − | 1.64803i | ||||
\(201\) | −7.13733e7 | − | 1.07578e7i | −0.619940 | − | 0.0934410i | ||||
\(202\) | 2.55769e7 | + | 3.41300e8i | 0.218332 | + | 2.91344i | ||||
\(203\) | 4.87903e6 | + | 1.24316e7i | 0.0409352 | + | 0.104301i | ||||
\(204\) | −2.09150e6 | + | 9.16346e6i | −0.0172485 | + | 0.0755707i | ||||
\(205\) | −2.26827e7 | + | 3.02679e8i | −0.183889 | + | 2.45383i | ||||
\(206\) | −3.08358e8 | + | 9.51160e7i | −2.45765 | + | 0.758086i | ||||
\(207\) | −7.76420e7 | − | 3.73904e7i | −0.608416 | − | 0.292998i | ||||
\(208\) | 3.69861e7 | + | 6.40619e7i | 0.284982 | + | 0.493603i | ||||
\(209\) | 2.22158e7 | − | 3.84789e7i | 0.168326 | − | 0.291549i | ||||
\(210\) | 3.22709e7 | − | 2.20019e7i | 0.240460 | − | 0.163943i | ||||
\(211\) | −7.28177e6 | − | 3.19035e7i | −0.0533640 | − | 0.233803i | 0.941212 | − | 0.337817i | \(-0.109688\pi\) |
−0.994576 | + | 0.104014i | \(0.966831\pi\) | |||||||
\(212\) | −9.16398e6 | + | 1.38125e6i | −0.0660554 | + | 0.00995626i | ||||
\(213\) | −5.24321e7 | + | 6.57478e7i | −0.371765 | + | 0.466179i | ||||
\(214\) | 3.34803e8 | 2.33529 | ||||||||
\(215\) | 8.89105e7 | + | 2.19293e8i | 0.610124 | + | 1.50484i | ||||
\(216\) | −1.90129e8 | −1.28369 | ||||||||
\(217\) | 2.90813e7 | − | 3.64668e7i | 0.193199 | − | 0.242264i | ||||
\(218\) | 3.02942e8 | − | 4.56611e7i | 1.98044 | − | 0.298503i | ||||
\(219\) | −2.15012e7 | − | 9.42029e7i | −0.138327 | − | 0.606052i | ||||
\(220\) | 1.37895e8 | − | 9.40151e7i | 0.873109 | − | 0.595276i | ||||
\(221\) | −6.02559e6 | + | 1.04366e7i | −0.0375514 | + | 0.0650410i | ||||
\(222\) | −7.03859e7 | − | 1.21912e8i | −0.431768 | − | 0.747844i | ||||
\(223\) | −4.44074e7 | − | 2.13855e7i | −0.268157 | − | 0.129137i | 0.294974 | − | 0.955505i | \(-0.404689\pi\) |
−0.563131 | + | 0.826368i | \(0.690403\pi\) | |||||||
\(224\) | −1.38476e7 | + | 4.27143e6i | −0.0823203 | + | 0.0253925i | ||||
\(225\) | −1.58034e7 | + | 2.10881e8i | −0.0924934 | + | 1.23424i | ||||
\(226\) | −3.52308e7 | + | 1.54356e8i | −0.203022 | + | 0.889498i | ||||
\(227\) | 2.75124e7 | + | 7.01005e7i | 0.156113 | + | 0.397769i | 0.987436 | − | 0.158021i | \(-0.0505113\pi\) |
−0.831323 | + | 0.555790i | \(0.812416\pi\) | |||||||
\(228\) | −1.19888e7 | − | 1.59979e8i | −0.0669890 | − | 0.893906i | ||||
\(229\) | 1.36190e8 | + | 2.05274e7i | 0.749413 | + | 0.112956i | 0.512634 | − | 0.858608i | \(-0.328670\pi\) |
0.236780 | + | 0.971563i | \(0.423908\pi\) | |||||||
\(230\) | 3.32489e8 | − | 3.08505e8i | 1.80190 | − | 1.67192i | ||||
\(231\) | 6.19982e6 | − | 2.98568e6i | 0.0330931 | − | 0.0159368i | ||||
\(232\) | 1.21729e8 | + | 8.29936e7i | 0.640010 | + | 0.436351i | ||||
\(233\) | 9.06296e7 | − | 2.30920e8i | 0.469380 | − | 1.19596i | −0.478714 | − | 0.877971i | \(-0.658897\pi\) |
0.948094 | − | 0.317990i | \(-0.103008\pi\) | |||||||
\(234\) | −2.15156e8 | − | 6.63668e7i | −1.09774 | − | 0.338607i | ||||
\(235\) | 1.39832e8 | + | 1.29746e8i | 0.702863 | + | 0.652161i | ||||
\(236\) | 2.93853e8 | + | 3.68480e8i | 1.45525 | + | 1.82483i | ||||
\(237\) | −6.74964e7 | − | 8.46379e7i | −0.329353 | − | 0.412996i | ||||
\(238\) | 4.63717e6 | + | 4.30266e6i | 0.0222963 | + | 0.0206880i | ||||
\(239\) | −1.07359e8 | − | 3.31157e7i | −0.508679 | − | 0.156907i | 0.0297829 | − | 0.999556i | \(-0.490518\pi\) |
−0.538462 | + | 0.842650i | \(0.680995\pi\) | |||||||
\(240\) | 3.98970e7 | − | 1.01656e8i | 0.186295 | − | 0.474671i | ||||
\(241\) | −2.08920e8 | − | 1.42439e8i | −0.961436 | − | 0.655496i | −0.0225576 | − | 0.999746i | \(-0.507181\pi\) |
−0.938878 | + | 0.344250i | \(0.888133\pi\) | |||||||
\(242\) | −2.96075e8 | + | 1.42582e8i | −1.34291 | + | 0.646712i | ||||
\(243\) | 1.68743e8 | − | 1.56570e8i | 0.754402 | − | 0.699983i | ||||
\(244\) | −1.20406e8 | − | 1.81483e7i | −0.530620 | − | 0.0799781i | ||||
\(245\) | 2.66521e7 | + | 3.55647e8i | 0.115784 | + | 1.54503i | ||||
\(246\) | 1.08199e8 | + | 2.75686e8i | 0.463393 | + | 1.18071i | ||||
\(247\) | 4.57713e7 | − | 2.00537e8i | 0.193265 | − | 0.846750i | ||||
\(248\) | 3.84533e7 | − | 5.13124e8i | 0.160086 | − | 2.13620i | ||||
\(249\) | 1.00874e8 | − | 3.11156e7i | 0.414079 | − | 0.127727i | ||||
\(250\) | −3.90142e8 | − | 1.87882e8i | −1.57918 | − | 0.760494i | ||||
\(251\) | −1.99490e8 | − | 3.45527e8i | −0.796276 | − | 1.37919i | −0.922026 | − | 0.387129i | \(-0.873467\pi\) |
0.125749 | − | 0.992062i | \(-0.459867\pi\) | |||||||
\(252\) | −3.85279e7 | + | 6.67322e7i | −0.151661 | + | 0.262684i | ||||
\(253\) | 6.60257e7 | − | 4.50155e7i | 0.256325 | − | 0.174759i | ||||
\(254\) | −1.18641e8 | − | 5.19801e8i | −0.454273 | − | 1.99030i | ||||
\(255\) | 1.75923e7 | − | 2.65162e6i | 0.0664405 | − | 0.0100143i | ||||
\(256\) | −2.99067e8 | + | 3.75018e8i | −1.11411 | + | 1.39705i | ||||
\(257\) | −1.08408e8 | −0.398379 | −0.199189 | − | 0.979961i | \(-0.563831\pi\) | ||||
−0.199189 | + | 0.979961i | \(0.563831\pi\) | |||||||
\(258\) | 1.70998e8 | + | 1.55139e8i | 0.619900 | + | 0.562407i | ||||
\(259\) | −6.17694e7 | −0.220915 | ||||||||
\(260\) | 4.81728e8 | − | 6.04067e8i | 1.69979 | − | 2.13147i | ||||
\(261\) | −1.12386e8 | + | 1.69395e7i | −0.391266 | + | 0.0589738i | ||||
\(262\) | 3.38255e7 | + | 1.48199e8i | 0.116196 | + | 0.509087i | ||||
\(263\) | 4.17531e7 | − | 2.84668e7i | 0.141529 | − | 0.0964925i | −0.490486 | − | 0.871449i | \(-0.663181\pi\) |
0.632014 | + | 0.774957i | \(0.282228\pi\) | |||||||
\(264\) | 3.79572e7 | − | 6.57437e7i | 0.126964 | − | 0.219908i | ||||
\(265\) | 8.77096e6 | + | 1.51917e7i | 0.0289525 | + | 0.0501473i | ||||
\(266\) | −9.72794e7 | − | 4.68473e7i | −0.316909 | − | 0.152615i | ||||
\(267\) | −2.27212e8 | + | 7.00856e7i | −0.730536 | + | 0.225341i | ||||
\(268\) | −5.60099e7 | + | 7.47401e8i | −0.177743 | + | 2.37182i | ||||
\(269\) | −1.09499e8 | + | 4.79747e8i | −0.342987 | + | 1.50272i | 0.449747 | + | 0.893156i | \(0.351514\pi\) |
−0.792734 | + | 0.609568i | \(0.791343\pi\) | |||||||
\(270\) | 2.82037e8 | + | 7.18618e8i | 0.872032 | + | 2.22190i | ||||
\(271\) | −3.00053e6 | − | 4.00393e7i | −0.00915810 | − | 0.122206i | 0.990751 | − | 0.135693i | \(-0.0433260\pi\) |
−0.999909 | + | 0.0134865i | \(0.995707\pi\) | |||||||
\(272\) | 1.74894e7 | + | 2.63611e6i | 0.0526969 | + | 0.00794278i | ||||
\(273\) | 2.33525e7 | − | 2.16680e7i | 0.0694648 | − | 0.0644539i | ||||
\(274\) | 3.73686e8 | − | 1.79958e8i | 1.09744 | − | 0.528498i | ||||
\(275\) | −1.62024e8 | − | 1.10466e8i | −0.469803 | − | 0.320306i | ||||
\(276\) | 1.05413e8 | − | 2.68587e8i | 0.301795 | − | 0.768960i | ||||
\(277\) | 5.34584e8 | + | 1.64897e8i | 1.51125 | + | 0.466160i | 0.936055 | − | 0.351855i | \(-0.114449\pi\) |
0.575198 | + | 0.818015i | \(0.304925\pi\) | |||||||
\(278\) | −5.69742e7 | − | 5.28644e7i | −0.159046 | − | 0.147573i | ||||
\(279\) | 2.47497e8 | + | 3.10352e8i | 0.682269 | + | 0.855538i | ||||
\(280\) | −1.17882e8 | − | 1.47819e8i | −0.320918 | − | 0.402418i | ||||
\(281\) | −2.78620e8 | − | 2.58521e8i | −0.749100 | − | 0.695063i | 0.210135 | − | 0.977672i | \(-0.432610\pi\) |
−0.959235 | + | 0.282609i | \(0.908800\pi\) | |||||||
\(282\) | 1.77853e8 | + | 5.48605e7i | 0.472270 | + | 0.145676i | ||||
\(283\) | 3.57888e7 | − | 9.11883e7i | 0.0938630 | − | 0.239159i | −0.876230 | − | 0.481894i | \(-0.839949\pi\) |
0.970093 | + | 0.242735i | \(0.0780444\pi\) | |||||||
\(284\) | 7.21488e8 | + | 4.91902e8i | 1.86902 | + | 1.27428i | ||||
\(285\) | −2.73593e8 | + | 1.31755e8i | −0.700080 | + | 0.337141i | ||||
\(286\) | 1.53054e8 | − | 1.42013e8i | 0.386868 | − | 0.358961i | ||||
\(287\) | 1.28500e8 | + | 1.93683e7i | 0.320861 | + | 0.0483620i | ||||
\(288\) | −9.21645e6 | − | 1.22985e8i | −0.0227347 | − | 0.303374i | ||||
\(289\) | −1.48861e8 | − | 3.79291e8i | −0.362776 | − | 0.924337i | ||||
\(290\) | 1.33112e8 | − | 5.83204e8i | 0.320498 | − | 1.40419i | ||||
\(291\) | −2.00633e7 | + | 2.67726e8i | −0.0477284 | + | 0.636891i | ||||
\(292\) | −9.58763e8 | + | 2.95739e8i | −2.25357 | + | 0.695135i | ||||
\(293\) | −2.96535e8 | − | 1.42804e8i | −0.688714 | − | 0.331667i | 0.0565846 | − | 0.998398i | \(-0.481979\pi\) |
−0.745299 | + | 0.666730i | \(0.767693\pi\) | |||||||
\(294\) | 1.73992e8 | + | 3.01364e8i | 0.399314 | + | 0.691632i | ||||
\(295\) | 4.46053e8 | − | 7.72586e8i | 1.01160 | − | 1.75214i | ||||
\(296\) | −5.63032e8 | + | 3.83869e8i | −1.26186 | + | 0.860324i | ||||
\(297\) | 3.02651e7 | + | 1.32600e8i | 0.0670339 | + | 0.293695i | ||||
\(298\) | 5.50575e8 | − | 8.29859e7i | 1.20520 | − | 0.181655i | ||||
\(299\) | 2.30657e8 | − | 2.89235e8i | 0.499019 | − | 0.625750i | ||||
\(300\) | −7.08047e8 | −1.51404 | ||||||||
\(301\) | 9.64694e7 | − | 3.09432e7i | 0.203895 | − | 0.0654007i | ||||
\(302\) | −2.11054e8 | −0.440929 | ||||||||
\(303\) | 2.56950e8 | − | 3.22205e8i | 0.530639 | − | 0.665400i | ||||
\(304\) | −2.98517e8 | + | 4.49942e7i | −0.609413 | + | 0.0918542i | ||||
\(305\) | 5.12876e7 | + | 2.24706e8i | 0.103505 | + | 0.453486i | ||||
\(306\) | −4.44816e7 | + | 3.03270e7i | −0.0887473 | + | 0.0605069i | ||||
\(307\) | 1.73794e8 | − | 3.01020e8i | 0.342807 | − | 0.593760i | −0.642146 | − | 0.766583i | \(-0.721956\pi\) |
0.984953 | + | 0.172823i | \(0.0552889\pi\) | |||||||
\(308\) | −3.57269e7 | − | 6.18807e7i | −0.0696735 | − | 0.120678i | ||||
\(309\) | 3.50081e8 | + | 1.68590e8i | 0.675015 | + | 0.325070i | ||||
\(310\) | −1.99646e9 | + | 6.15826e8i | −3.80623 | + | 1.17407i | ||||
\(311\) | −6.10509e7 | + | 8.14668e8i | −0.115088 | + | 1.53575i | 0.578684 | + | 0.815552i | \(0.303566\pi\) |
−0.693773 | + | 0.720194i | \(0.744053\pi\) | |||||||
\(312\) | 7.82032e7 | − | 3.42631e8i | 0.145775 | − | 0.638682i | ||||
\(313\) | −2.77222e8 | − | 7.06350e8i | −0.511002 | − | 1.30201i | −0.920871 | − | 0.389867i | \(-0.872521\pi\) |
0.409869 | − | 0.912144i | \(-0.365574\pi\) | |||||||
\(314\) | 9.89883e7 | + | 1.32091e9i | 0.180439 | + | 2.40779i | ||||
\(315\) | 1.44225e8 | + | 2.17385e7i | 0.259989 | + | 0.0391870i | ||||
\(316\) | −8.24027e8 | + | 7.64586e8i | −1.46905 | + | 1.36308i | ||||
\(317\) | −7.83516e7 | + | 3.77321e7i | −0.138147 | + | 0.0665279i | −0.501680 | − | 0.865053i | \(-0.667285\pi\) |
0.363533 | + | 0.931581i | \(0.381570\pi\) | |||||||
\(318\) | 1.41419e7 | + | 9.64178e6i | 0.0246611 | + | 0.0168137i | ||||
\(319\) | 3.85044e7 | − | 9.81076e7i | 0.0664114 | − | 0.169214i | ||||
\(320\) | 1.19871e9 | + | 3.69754e8i | 2.04499 | + | 0.630795i | ||||
\(321\) | −2.95522e8 | − | 2.74205e8i | −0.498681 | − | 0.462708i | ||||
\(322\) | −1.21075e8 | − | 1.51824e8i | −0.202097 | − | 0.253422i | ||||
\(323\) | −3.06646e7 | − | 3.84521e7i | −0.0506323 | − | 0.0634909i | ||||
\(324\) | −2.75738e8 | − | 2.55848e8i | −0.450391 | − | 0.417901i | ||||
\(325\) | −8.67497e8 | − | 2.67587e8i | −1.40177 | − | 0.432388i | ||||
\(326\) | −2.55901e8 | + | 6.52024e8i | −0.409081 | + | 1.04232i | ||||
\(327\) | −3.04796e8 | − | 2.07806e8i | −0.482050 | − | 0.328656i | ||||
\(328\) | 1.29165e9 | − | 6.22027e8i | 2.02110 | − | 0.973309i | ||||
\(329\) | 5.98675e7 | − | 5.55489e7i | 0.0926841 | − | 0.0859983i | ||||
\(330\) | −3.04793e8 | − | 4.59401e7i | −0.466880 | − | 0.0703709i | ||||
\(331\) | −5.28939e7 | − | 7.05820e8i | −0.0801692 | − | 1.06978i | −0.881694 | − | 0.471822i | \(-0.843597\pi\) |
0.801525 | − | 0.597962i | \(-0.204023\pi\) | |||||||
\(332\) | −4.00471e8 | − | 1.02038e9i | −0.600604 | − | 1.53031i | ||||
\(333\) | 1.16977e8 | − | 5.12511e8i | 0.173599 | − | 0.760585i | ||||
\(334\) | −1.50015e8 | + | 2.00181e9i | −0.220304 | + | 2.93975i | ||||
\(335\) | 1.35565e9 | − | 4.18163e8i | 1.97011 | − | 0.607700i | ||||
\(336\) | −4.21244e7 | − | 2.02861e7i | −0.0605824 | − | 0.0291749i | ||||
\(337\) | −2.02780e8 | − | 3.51225e8i | −0.288616 | − | 0.499897i | 0.684864 | − | 0.728671i | \(-0.259862\pi\) |
−0.973480 | + | 0.228774i | \(0.926528\pi\) | |||||||
\(338\) | −1.18393e8 | + | 2.05062e8i | −0.166770 | + | 0.288853i | ||||
\(339\) | 1.57516e8 | − | 1.07392e8i | 0.219596 | − | 0.149718i | ||||
\(340\) | −4.11082e7 | − | 1.80107e8i | −0.0567221 | − | 0.248516i | ||||
\(341\) | −3.63985e8 | + | 5.48618e7i | −0.497099 | + | 0.0749256i | ||||
\(342\) | 5.72924e8 | − | 7.18424e8i | 0.774472 | − | 0.971157i | ||||
\(343\) | 3.12723e8 | 0.418437 | ||||||||
\(344\) | 6.87027e8 | − | 8.81563e8i | 0.909954 | − | 1.16761i | ||||
\(345\) | −5.46147e8 | −0.716049 | ||||||||
\(346\) | 7.51432e8 | − | 9.42266e8i | 0.975267 | − | 1.22295i | ||||
\(347\) | −7.01271e8 | + | 1.05700e8i | −0.901016 | + | 0.135806i | −0.583183 | − | 0.812341i | \(-0.698193\pi\) |
−0.317833 | + | 0.948147i | \(0.602955\pi\) | |||||||
\(348\) | −8.46779e7 | − | 3.70998e8i | −0.107707 | − | 0.471894i | ||||
\(349\) | −4.60217e8 | + | 3.13771e8i | −0.579527 | + | 0.395115i | −0.817306 | − | 0.576205i | \(-0.804533\pi\) |
0.237778 | + | 0.971319i | \(0.423581\pi\) | |||||||
\(350\) | −2.38267e8 | + | 4.12690e8i | −0.297047 | + | 0.514500i | ||||
\(351\) | 3.14826e8 | + | 5.45295e8i | 0.388594 | + | 0.673065i | ||||
\(352\) | 1.03038e8 | + | 4.96206e7i | 0.125921 | + | 0.0606404i | ||||
\(353\) | −9.59529e8 | + | 2.95976e8i | −1.16104 | + | 0.358133i | −0.814647 | − | 0.579957i | \(-0.803069\pi\) |
−0.346392 | + | 0.938090i | \(0.612593\pi\) | |||||||
\(354\) | 6.50484e7 | − | 8.68011e8i | 0.0779337 | − | 1.03995i | ||||
\(355\) | 3.67798e8 | − | 1.61143e9i | 0.436325 | − | 1.91167i | ||||
\(356\) | 9.02031e8 | + | 2.29834e9i | 1.05961 | + | 2.69984i | ||||
\(357\) | −569220. | − | 7.59571e6i | −0.000662127 | − | 0.00883547i | ||||
\(358\) | −9.19261e8 | − | 1.38556e8i | −1.05888 | − | 0.159601i | ||||
\(359\) | 2.61369e8 | − | 2.42515e8i | 0.298143 | − | 0.276636i | −0.516889 | − | 0.856052i | \(-0.672910\pi\) |
0.815032 | + | 0.579416i | \(0.196720\pi\) | |||||||
\(360\) | 1.44972e9 | − | 6.98148e8i | 1.63767 | − | 0.788658i | ||||
\(361\) | −4.49568e7 | − | 3.06510e7i | −0.0502945 | − | 0.0342902i | ||||
\(362\) | 3.35901e8 | − | 8.55861e8i | 0.372161 | − | 0.948251i | ||||
\(363\) | 3.78113e8 | + | 1.16632e8i | 0.414905 | + | 0.127981i | ||||
\(364\) | −2.42488e8 | − | 2.24996e8i | −0.263533 | − | 0.244523i | ||||
\(365\) | 1.18411e9 | + | 1.48483e9i | 1.27458 | + | 1.59827i | ||||
\(366\) | 1.40215e8 | + | 1.75825e8i | 0.149490 | + | 0.187454i | ||||
\(367\) | −1.06960e9 | − | 9.92440e8i | −1.12951 | − | 1.04803i | −0.998393 | − | 0.0566612i | \(-0.981955\pi\) |
−0.131113 | − | 0.991367i | \(-0.541855\pi\) | |||||||
\(368\) | −5.18831e8 | − | 1.60038e8i | −0.542698 | − | 0.167400i | ||||
\(369\) | −4.04052e8 | + | 1.02951e9i | −0.418644 | + | 1.06669i | ||||
\(370\) | 2.28608e9 | + | 1.55862e9i | 2.34631 | + | 1.59969i | ||||
\(371\) | 6.76659e6 | − | 3.25862e6i | 0.00687956 | − | 0.00331302i | ||||
\(372\) | −9.74278e8 | + | 9.03998e8i | −0.981257 | + | 0.910474i | ||||
\(373\) | 4.95193e8 | + | 7.46383e7i | 0.494076 | + | 0.0744699i | 0.391354 | − | 0.920240i | \(-0.372007\pi\) |
0.102722 | + | 0.994710i | \(0.467245\pi\) | |||||||
\(374\) | −3.73070e6 | − | 4.97827e7i | −0.00368757 | − | 0.0492071i | ||||
\(375\) | 1.90492e8 | + | 4.85366e8i | 0.186538 | + | 0.475292i | ||||
\(376\) | 2.00485e8 | − | 8.78381e8i | 0.194502 | − | 0.852168i | ||||
\(377\) | 3.64617e7 | − | 4.86548e8i | 0.0350463 | − | 0.467661i | ||||
\(378\) | 3.15830e8 | − | 9.74207e7i | 0.300768 | − | 0.0927748i | ||||
\(379\) | 1.79424e9 | + | 8.64060e8i | 1.69295 | + | 0.815279i | 0.995083 | + | 0.0990476i | \(0.0315796\pi\) |
0.697862 | + | 0.716232i | \(0.254135\pi\) | |||||||
\(380\) | 1.57660e9 | + | 2.73074e9i | 1.47393 | + | 2.55293i | ||||
\(381\) | −3.20997e8 | + | 5.55983e8i | −0.297347 | + | 0.515020i | ||||
\(382\) | 2.17194e8 | − | 1.48080e8i | 0.199354 | − | 0.135917i | ||||
\(383\) | −5.73846e6 | − | 2.51418e7i | −0.00521915 | − | 0.0228666i | 0.972251 | − | 0.233939i | \(-0.0751616\pi\) |
−0.977470 | + | 0.211072i | \(0.932304\pi\) | |||||||
\(384\) | 9.92349e8 | − | 1.49573e8i | 0.894345 | − | 0.134801i | ||||
\(385\) | −8.43275e7 | + | 1.05743e8i | −0.0753107 | + | 0.0944366i | ||||
\(386\) | −2.58576e9 | −2.28840 | ||||||||
\(387\) | 7.40495e7 | + | 8.59021e8i | 0.0649432 | + | 0.753383i | ||||
\(388\) | 2.78781e9 | 2.42299 | ||||||||
\(389\) | −7.72417e8 | + | 9.68580e8i | −0.665316 | + | 0.834280i | −0.993910 | − | 0.110191i | \(-0.964854\pi\) |
0.328594 | + | 0.944471i | \(0.393425\pi\) | |||||||
\(390\) | −1.41102e9 | + | 2.12678e8i | −1.20450 | + | 0.181550i | ||||
\(391\) | −1.96831e7 | − | 8.62372e7i | −0.0166523 | − | 0.0729585i | ||||
\(392\) | 1.39180e9 | − | 9.48915e8i | 1.16702 | − | 0.795658i | ||||
\(393\) | 9.15188e7 | − | 1.58515e8i | 0.0760565 | − | 0.131734i | ||||
\(394\) | −1.06621e9 | − | 1.84673e9i | −0.878224 | − | 1.52113i | ||||
\(395\) | 1.91704e9 | + | 9.23199e8i | 1.56510 | + | 0.753712i | ||||
\(396\) | 5.81093e8 | − | 1.79243e8i | 0.470232 | − | 0.145047i | ||||
\(397\) | −1.15153e8 | + | 1.53661e9i | −0.0923654 | + | 1.23253i | 0.737802 | + | 0.675017i | \(0.235864\pi\) |
−0.830168 | + | 0.557514i | \(0.811755\pi\) | |||||||
\(398\) | 3.37025e8 | − | 1.47660e9i | 0.267961 | − | 1.17401i | ||||
\(399\) | 4.74981e7 | + | 1.21023e8i | 0.0374344 | + | 0.0953813i | ||||
\(400\) | 9.95691e7 | + | 1.32866e9i | 0.0777884 | + | 1.03801i | ||||
\(401\) | −2.04446e9 | − | 3.08153e8i | −1.58334 | − | 0.238650i | −0.702365 | − | 0.711817i | \(-0.747872\pi\) |
−0.880973 | + | 0.473167i | \(0.843111\pi\) | |||||||
\(402\) | 1.01472e9 | − | 9.41518e8i | 0.779028 | − | 0.722832i | ||||
\(403\) | −1.53533e9 | + | 7.39374e8i | −1.16851 | + | 0.562725i | ||||
\(404\) | −3.53573e9 | − | 2.41062e9i | −2.66775 | − | 1.81884i | ||||
\(405\) | −2.60121e8 | + | 6.62778e8i | −0.194573 | + | 0.495764i | ||||
\(406\) | −2.44734e8 | − | 7.54904e7i | −0.181490 | − | 0.0559823i | ||||
\(407\) | 3.57343e8 | + | 3.31566e8i | 0.262727 | + | 0.243775i | ||||
\(408\) | −5.23924e7 | − | 6.56980e7i | −0.0381907 | − | 0.0478896i | ||||
\(409\) | −5.15647e8 | − | 6.46601e8i | −0.372667 | − | 0.467310i | 0.559767 | − | 0.828650i | \(-0.310891\pi\) |
−0.932434 | + | 0.361340i | \(0.882319\pi\) | |||||||
\(410\) | −4.26706e9 | − | 3.95926e9i | −3.05763 | − | 2.83707i | ||||
\(411\) | −4.77229e8 | − | 1.47206e8i | −0.339063 | − | 0.104587i | ||||
\(412\) | 1.47405e9 | − | 3.75582e9i | 1.03842 | − | 2.64585i | ||||
\(413\) | −3.15576e8 | − | 2.15156e8i | −0.220434 | − | 0.150290i | ||||
\(414\) | 1.48899e9 | − | 7.17061e8i | 1.03131 | − | 0.496655i | ||||
\(415\) | −1.52098e9 | + | 1.41126e9i | −1.04461 | + | 0.969256i | ||||
\(416\) | 5.23528e8 | + | 7.89092e7i | 0.356544 | + | 0.0537404i | ||||
\(417\) | 6.99368e6 | + | 9.33242e7i | 0.00472313 | + | 0.0630258i | ||||
\(418\) | 3.11305e8 | + | 7.93192e8i | 0.208482 | + | 0.531204i | ||||
\(419\) | 4.26741e8 | − | 1.86968e9i | 0.283410 | − | 1.24170i | −0.609979 | − | 0.792418i | \(-0.708822\pi\) |
0.893389 | − | 0.449284i | \(-0.148321\pi\) | |||||||
\(420\) | −3.64941e7 | + | 4.86980e8i | −0.0240353 | + | 0.320729i | ||||
\(421\) | −1.70203e9 | + | 5.25006e8i | −1.11168 | + | 0.342907i | −0.795598 | − | 0.605825i | \(-0.792843\pi\) |
−0.316081 | + | 0.948732i | \(0.602367\pi\) | |||||||
\(422\) | 5.65420e8 | + | 2.72292e8i | 0.366250 | + | 0.176377i | ||||
\(423\) | 3.47522e8 | + | 6.01927e8i | 0.223250 | + | 0.386680i | ||||
\(424\) | 4.14271e7 | − | 7.17538e7i | 0.0263939 | − | 0.0457156i | ||||
\(425\) | −1.79347e8 | + | 1.22277e8i | −0.113327 | + | 0.0772651i | ||||
\(426\) | −3.58868e8 | − | 1.57230e9i | −0.224906 | − | 0.985378i | ||||
\(427\) | 9.75767e7 | − | 1.47073e7i | 0.0606524 | − | 0.00914189i | ||||
\(428\) | −2.61000e9 | + | 3.27284e9i | −1.60912 | + | 2.01777i | ||||
\(429\) | −2.51406e8 | −0.153736 | ||||||||
\(430\) | −4.35112e9 | − | 1.28900e9i | −2.63913 | − | 0.781833i | ||||
\(431\) | 2.67851e9 | 1.61147 | 0.805737 | − | 0.592273i | \(-0.201769\pi\) | ||||
0.805737 | + | 0.592273i | \(0.201769\pi\) | |||||||
\(432\) | 5.76176e8 | − | 7.22502e8i | 0.343845 | − | 0.431167i | ||||
\(433\) | 2.59836e9 | − | 3.91639e8i | 1.53812 | − | 0.231835i | 0.675378 | − | 0.737472i | \(-0.263981\pi\) |
0.862746 | + | 0.505637i | \(0.168743\pi\) | |||||||
\(434\) | 1.99045e8 | + | 8.72071e8i | 0.116879 | + | 0.512080i | ||||
\(435\) | −5.95141e8 | + | 4.05760e8i | −0.346663 | + | 0.236351i | ||||
\(436\) | −1.91527e9 | + | 3.31734e9i | −1.10669 | + | 1.91685i | ||||
\(437\) | 7.54893e8 | + | 1.30751e9i | 0.432713 | + | 0.749481i | ||||
\(438\) | 1.66954e9 | + | 8.04009e8i | 0.949375 | + | 0.457195i | ||||
\(439\) | −2.30333e9 | + | 7.10482e8i | −1.29936 | + | 0.400799i | −0.865829 | − | 0.500339i | \(-0.833209\pi\) |
−0.433531 | + | 0.901139i | \(0.642732\pi\) | |||||||
\(440\) | −1.11504e8 | + | 1.48791e9i | −0.0624030 | + | 0.832710i | ||||
\(441\) | −2.89165e8 | + | 1.26691e9i | −0.160550 | + | 0.703416i | ||||
\(442\) | −8.44351e7 | − | 2.15137e8i | −0.0465099 | − | 0.118505i | ||||
\(443\) | −1.02755e8 | − | 1.37117e9i | −0.0561552 | − | 0.749338i | −0.952220 | − | 0.305414i | \(-0.901205\pi\) |
0.896064 | − | 0.443924i | \(-0.146414\pi\) | |||||||
\(444\) | 1.74044e9 | + | 2.62330e8i | 0.943669 | + | 0.142235i | ||||
\(445\) | 3.42588e9 | − | 3.17876e9i | 1.84295 | − | 1.71000i | ||||
\(446\) | 8.51630e8 | − | 4.10124e8i | 0.454547 | − | 0.218898i | ||||
\(447\) | −5.53945e8 | − | 3.77673e8i | −0.293353 | − | 0.200005i | ||||
\(448\) | 1.96215e8 | − | 4.99948e8i | 0.103100 | − | 0.262695i | ||||
\(449\) | −2.19204e9 | − | 6.76154e8i | −1.14284 | − | 0.352520i | −0.335173 | − | 0.942157i | \(-0.608795\pi\) |
−0.807669 | + | 0.589637i | \(0.799271\pi\) | |||||||
\(450\) | −2.97293e9 | − | 2.75847e9i | −1.53794 | − | 1.42700i | ||||
\(451\) | −6.39422e8 | − | 8.01810e8i | −0.328224 | − | 0.411579i | ||||
\(452\) | −1.23425e9 | − | 1.54770e9i | −0.628664 | − | 0.788320i | ||||
\(453\) | 1.86292e8 | + | 1.72854e8i | 0.0941566 | + | 0.0873645i | ||||
\(454\) | −1.38003e9 | − | 4.25684e8i | −0.692140 | − | 0.213497i | ||||
\(455\) | −2.28754e8 | + | 5.82855e8i | −0.113849 | + | 0.290082i | ||||
\(456\) | 1.18505e9 | + | 8.07954e8i | 0.585275 | + | 0.399034i | ||||
\(457\) | 2.57324e9 | − | 1.23921e9i | 1.26117 | − | 0.607347i | 0.320685 | − | 0.947186i | \(-0.396087\pi\) |
0.940483 | + | 0.339839i | \(0.110373\pi\) | |||||||
\(458\) | −1.93622e9 | + | 1.79655e9i | −0.941726 | + | 0.873794i | ||||
\(459\) | 1.48870e8 | + | 2.24386e7i | 0.0718561 | + | 0.0108306i | ||||
\(460\) | 4.23800e8 | + | 5.65521e9i | 0.203006 | + | 2.70892i | ||||
\(461\) | 1.11772e9 | + | 2.84790e9i | 0.531348 | + | 1.35385i | 0.904655 | + | 0.426144i | \(0.140128\pi\) |
−0.373308 | + | 0.927708i | \(0.621776\pi\) | |||||||
\(462\) | −2.93654e7 | + | 1.28658e8i | −0.0138544 | + | 0.0607003i | ||||
\(463\) | −1.17085e8 | + | 1.56239e9i | −0.0548237 | + | 0.731571i | 0.900282 | + | 0.435306i | \(0.143360\pi\) |
−0.955106 | + | 0.296264i | \(0.904259\pi\) | |||||||
\(464\) | −6.84274e8 | + | 2.11071e8i | −0.317993 | + | 0.0980878i | ||||
\(465\) | 2.26659e9 | + | 1.09153e9i | 1.04541 | + | 0.503444i | ||||
\(466\) | 2.37869e9 | + | 4.12001e9i | 1.08890 | + | 1.88602i | ||||
\(467\) | −1.41500e9 | + | 2.45086e9i | −0.642907 | + | 1.11355i | 0.341873 | + | 0.939746i | \(0.388939\pi\) |
−0.984781 | + | 0.173802i | \(0.944395\pi\) | |||||||
\(468\) | 2.32604e9 | − | 1.58587e9i | 1.04895 | − | 0.715165i | ||||
\(469\) | −1.35157e8 | − | 5.92161e8i | −0.0604969 | − | 0.265054i | ||||
\(470\) | −3.61735e9 | + | 5.45228e8i | −1.60712 | + | 0.242234i | ||||
\(471\) | 9.94453e8 | − | 1.24700e9i | 0.438542 | − | 0.549914i | ||||
\(472\) | −4.21360e9 | −1.84440 | ||||||||
\(473\) | −7.24183e8 | − | 3.38819e8i | −0.314655 | − | 0.147215i | ||||
\(474\) | 2.07609e9 | 0.895412 | ||||||||
\(475\) | 2.31000e9 | − | 2.89665e9i | 0.988972 | − | 1.24013i | ||||
\(476\) | −7.82099e7 | + | 1.17883e7i | −0.0332382 | + | 0.00500985i | ||||
\(477\) | 1.42229e7 | + | 6.23145e7i | 0.00600030 | + | 0.0262890i | ||||
\(478\) | 1.78022e9 | − | 1.21373e9i | 0.745550 | − | 0.508307i | ||||
\(479\) | 1.10869e9 | − | 1.92031e9i | 0.460932 | − | 0.798357i | −0.538076 | − | 0.842896i | \(-0.680849\pi\) |
0.999008 | + | 0.0445394i | \(0.0141820\pi\) | |||||||
\(480\) | −3.90806e8 | − | 6.76895e8i | −0.161293 | − | 0.279368i | ||||
\(481\) | 2.03325e9 | + | 9.79160e8i | 0.833072 | + | 0.401186i | ||||
\(482\) | 4.63376e9 | − | 1.42933e9i | 1.88482 | − | 0.581389i | ||||
\(483\) | −1.74738e7 | + | 2.33172e8i | −0.00705623 | + | 0.0941589i | ||||
\(484\) | 9.14290e8 | − | 4.00577e9i | 0.366543 | − | 1.60593i | ||||
\(485\) | −1.92786e9 | − | 4.91211e9i | −0.767326 | − | 1.95511i | ||||
\(486\) | 3.29899e8 | + | 4.40220e9i | 0.130363 | + | 1.73957i | ||||
\(487\) | 2.67531e9 | + | 4.03238e8i | 1.04960 | + | 0.158201i | 0.651118 | − | 0.758977i | \(-0.274300\pi\) |
0.398478 | + | 0.917178i | \(0.369538\pi\) | |||||||
\(488\) | 7.98018e8 | − | 7.40453e8i | 0.310845 | − | 0.288422i | ||||
\(489\) | 7.59887e8 | − | 3.65942e8i | 0.293879 | − | 0.141525i | ||||
\(490\) | −5.65114e9 | − | 3.85288e9i | −2.16995 | − | 1.47945i | ||||
\(491\) | −1.42285e8 | + | 3.62536e8i | −0.0542467 | + | 0.138218i | −0.955428 | − | 0.295224i | \(-0.904606\pi\) |
0.901181 | + | 0.433442i | \(0.142701\pi\) | |||||||
\(492\) | −3.53842e9 | − | 1.09146e9i | −1.33947 | − | 0.413171i | ||||
\(493\) | −8.55188e7 | − | 7.93498e7i | −0.0321438 | − | 0.0298251i | ||||
\(494\) | 2.45950e9 | + | 3.08412e9i | 0.917915 | + | 1.15103i | ||||
\(495\) | −7.17672e8 | − | 8.99932e8i | −0.265955 | − | 0.333497i | ||||
\(496\) | 1.83337e9 | + | 1.70112e9i | 0.674628 | + | 0.625963i | ||||
\(497\) | −6.76216e8 | − | 2.08585e8i | −0.247080 | − | 0.0762141i | ||||
\(498\) | −7.39625e8 | + | 1.88453e9i | −0.268354 | + | 0.683756i | ||||
\(499\) | −1.74284e9 | − | 1.18825e9i | −0.627922 | − | 0.428110i | 0.207105 | − | 0.978319i | \(-0.433596\pi\) |
−0.835027 | + | 0.550209i | \(0.814548\pi\) | |||||||
\(500\) | 4.87803e9 | − | 2.34913e9i | 1.74522 | − | 0.840452i | ||||
\(501\) | 1.77191e9 | − | 1.64409e9i | 0.629519 | − | 0.584108i | ||||
\(502\) | 7.56605e9 | + | 1.14040e9i | 2.66936 | + | 0.402341i | ||||
\(503\) | −1.89388e8 | − | 2.52721e9i | −0.0663537 | − | 0.885429i | −0.926720 | − | 0.375753i | \(-0.877384\pi\) |
0.860366 | − | 0.509676i | \(-0.170235\pi\) | |||||||
\(504\) | −2.51684e8 | − | 6.41280e8i | −0.0875686 | − | 0.223121i | ||||
\(505\) | −1.80244e9 | + | 7.89699e9i | −0.622788 | + | 2.72861i | ||||
\(506\) | −1.14524e8 | + | 1.52822e9i | −0.0392981 | + | 0.524397i | ||||
\(507\) | 2.72449e8 | − | 8.40394e7i | 0.0928448 | − | 0.0286388i | ||||
\(508\) | 6.00615e9 | + | 2.89241e9i | 2.03270 | + | 0.978897i | ||||
\(509\) | 3.02526e8 | + | 5.23990e8i | 0.101683 | + | 0.176121i | 0.912378 | − | 0.409348i | \(-0.134244\pi\) |
−0.810695 | + | 0.585469i | \(0.800910\pi\) | |||||||
\(510\) | −1.70595e8 | + | 2.95480e8i | −0.0569471 | + | 0.0986353i | ||||
\(511\) | 6.71817e8 | − | 4.58037e8i | 0.222729 | − | 0.151854i | ||||
\(512\) | −8.09113e8 | − | 3.54495e9i | −0.266418 | − | 1.16726i | ||||
\(513\) | −2.54098e9 | + | 3.82991e8i | −0.830980 | + | 0.125250i | ||||
\(514\) | 1.29624e9 | − | 1.62544e9i | 0.421033 | − | 0.527959i | ||||
\(515\) | −7.63711e9 | −2.46379 | ||||||||
\(516\) | −2.84958e9 | + | 4.62172e8i | −0.913076 | + | 0.148091i | ||||
\(517\) | −6.44515e8 | −0.205124 | ||||||||
\(518\) | 7.38581e8 | − | 9.26152e8i | 0.233477 | − | 0.292771i | ||||
\(519\) | −1.43499e9 | + | 2.16290e8i | −0.450571 | + | 0.0679127i | ||||
\(520\) | 1.53707e9 | + | 6.73436e9i | 0.479384 | + | 2.10032i | ||||
\(521\) | −2.13497e9 | + | 1.45560e9i | −0.661394 | + | 0.450931i | −0.846928 | − | 0.531707i | \(-0.821551\pi\) |
0.185535 | + | 0.982638i | \(0.440598\pi\) | |||||||
\(522\) | 1.08983e9 | − | 1.88763e9i | 0.335359 | − | 0.580860i | ||||
\(523\) | 1.96314e9 | + | 3.40026e9i | 0.600062 | + | 1.03934i | 0.992811 | + | 0.119692i | \(0.0381906\pi\) |
−0.392750 | + | 0.919645i | \(0.628476\pi\) | |||||||
\(524\) | −1.71240e9 | − | 8.24649e8i | −0.519932 | − | 0.250386i | ||||
\(525\) | 5.48306e8 | − | 1.69130e8i | 0.165373 | − | 0.0510110i | ||||
\(526\) | −7.24227e7 | + | 9.66414e8i | −0.0216982 | + | 0.289543i | ||||
\(527\) | −9.06665e7 | + | 3.97236e8i | −0.0269842 | + | 0.118226i | ||||
\(528\) | 1.34803e8 | + | 3.43472e8i | 0.0398548 | + | 0.101548i | ||||
\(529\) | −5.15225e7 | − | 6.87521e8i | −0.0151322 | − | 0.201925i | ||||
\(530\) | −3.32655e8 | − | 5.01397e7i | −0.0970575 | − | 0.0146291i | ||||
\(531\) | 2.38281e9 | − | 2.21093e9i | 0.690652 | − | 0.640832i | ||||
\(532\) | 1.21631e9 | − | 5.85742e8i | 0.350229 | − | 0.168661i | ||||
\(533\) | −3.92278e9 | − | 2.67451e9i | −1.12214 | − | 0.765065i | ||||
\(534\) | 1.66595e9 | − | 4.24477e9i | 0.473442 | − | 1.20631i | ||||
\(535\) | 7.57164e9 | + | 2.33554e9i | 2.13772 | + | 0.659401i | ||||
\(536\) | −4.91198e9 | − | 4.55765e9i | −1.37778 | − | 1.27839i | ||||
\(537\) | 6.97932e8 | + | 8.75178e8i | 0.194492 | + | 0.243886i | ||||
\(538\) | −5.88389e9 | − | 7.37817e9i | −1.62902 | − | 2.04273i | ||||
\(539\) | −8.83343e8 | − | 8.19623e8i | −0.242979 | − | 0.225452i | ||||
\(540\) | −9.22344e9 | − | 2.84505e9i | −2.52066 | − | 0.777522i | ||||
\(541\) | 1.83183e9 | − | 4.66743e9i | 0.497388 | − | 1.26732i | −0.433214 | − | 0.901291i | \(-0.642620\pi\) |
0.930602 | − | 0.366033i | \(-0.119284\pi\) | |||||||
\(542\) | 6.36215e8 | + | 4.33764e8i | 0.171635 | + | 0.117019i | ||||
\(543\) | −9.97445e8 | + | 4.80344e8i | −0.267356 | + | 0.128752i | ||||
\(544\) | 9.27979e7 | − | 8.61038e7i | 0.0247139 | − | 0.0229312i | ||||
\(545\) | 7.16962e9 | + | 1.08065e9i | 1.89718 | + | 0.285954i | ||||
\(546\) | 4.56552e7 | + | 6.09227e8i | 0.0120037 | + | 0.160179i | ||||
\(547\) | −1.76517e9 | − | 4.49759e9i | −0.461139 | − | 1.17496i | −0.952644 | − | 0.304088i | \(-0.901648\pi\) |
0.491505 | − | 0.870875i | \(-0.336447\pi\) | |||||||
\(548\) | −1.15396e9 | + | 5.05582e9i | −0.299542 | + | 1.31238i | ||||
\(549\) | −6.27590e7 | + | 8.37461e8i | −0.0161872 | + | 0.216004i | ||||
\(550\) | 3.59363e9 | − | 1.10849e9i | 0.921010 | − | 0.284094i | ||||
\(551\) | 1.79403e9 | + | 8.63959e8i | 0.456877 | + | 0.220020i | ||||
\(552\) | 1.28978e9 | + | 2.23397e9i | 0.326385 | + | 0.565315i | ||||
\(553\) | 4.55486e8 | − | 7.88924e8i | 0.114535 | − | 0.198380i | ||||
\(554\) | −8.86448e9 | + | 6.04370e9i | −2.21498 | + | 1.51015i | ||||
\(555\) | −7.41351e8 | − | 3.24807e9i | −0.184076 | − | 0.806492i | ||||
\(556\) | 9.60921e8 | − | 1.44836e8i | 0.237097 | − | 0.0357366i | ||||
\(557\) | −6.84467e8 | + | 8.58295e8i | −0.167826 | + | 0.210447i | −0.858631 | − | 0.512594i | \(-0.828685\pi\) |
0.690805 | + | 0.723041i | \(0.257256\pi\) | |||||||
\(558\) | −7.61266e9 | −1.85488 | ||||||||
\(559\) | −3.66596e9 | − | 5.10671e8i | −0.887661 | − | 0.123652i | ||||
\(560\) | 9.18956e8 | 0.221124 | ||||||||
\(561\) | −3.74792e7 | + | 4.69975e7i | −0.00896233 | + | 0.0112384i | ||||
\(562\) | 7.20767e9 | − | 1.08638e9i | 1.71284 | − | 0.258170i | ||||
\(563\) | 8.83552e8 | + | 3.87109e9i | 0.208666 | + | 0.914227i | 0.965455 | + | 0.260568i | \(0.0839099\pi\) |
−0.756789 | + | 0.653659i | \(0.773233\pi\) | |||||||
\(564\) | −1.92276e9 | + | 1.31092e9i | −0.451283 | + | 0.307680i | ||||
\(565\) | −1.87352e9 | + | 3.24504e9i | −0.437008 | + | 0.756920i | ||||
\(566\) | 9.39321e8 | + | 1.62695e9i | 0.217749 | + | 0.377153i | ||||
\(567\) | 2.74644e8 | + | 1.32261e8i | 0.0632745 | + | 0.0304714i | ||||
\(568\) | −7.46001e9 | + | 2.30111e9i | −1.70813 | + | 0.526888i | ||||
\(569\) | −3.58623e8 | + | 4.78549e9i | −0.0816103 | + | 1.08901i | 0.794616 | + | 0.607113i | \(0.207672\pi\) |
−0.876226 | + | 0.481901i | \(0.839947\pi\) | |||||||
\(570\) | 1.29587e9 | − | 5.67757e9i | 0.293089 | − | 1.28411i | ||||
\(571\) | −2.25562e8 | − | 5.74722e8i | −0.0507037 | − | 0.129191i | 0.903278 | − | 0.429056i | \(-0.141154\pi\) |
−0.953982 | + | 0.299865i | \(0.903058\pi\) | |||||||
\(572\) | 1.95087e8 | + | 2.60325e9i | 0.0435854 | + | 0.581607i | ||||
\(573\) | −3.12990e8 | − | 4.71756e7i | −0.0695006 | − | 0.0104755i | ||||
\(574\) | −1.82689e9 | + | 1.69510e9i | −0.403200 | + | 0.374115i | ||||
\(575\) | 6.00354e9 | − | 2.89115e9i | 1.31695 | − | 0.634210i | ||||
\(576\) | 3.77656e9 | + | 2.57482e9i | 0.823413 | + | 0.561394i | ||||
\(577\) | 1.46820e9 | − | 3.74092e9i | 0.318178 | − | 0.810705i | −0.678894 | − | 0.734236i | \(-0.737540\pi\) |
0.997072 | − | 0.0764682i | \(-0.0243644\pi\) | |||||||
\(578\) | 7.46692e9 | + | 2.30324e9i | 1.60840 | + | 0.496126i | ||||
\(579\) | 2.28239e9 | + | 2.11774e9i | 0.488668 | + | 0.453418i | ||||
\(580\) | 4.66336e9 | + | 5.84767e9i | 0.992433 | + | 1.24447i | ||||
\(581\) | 5.53860e8 | + | 6.94518e8i | 0.117161 | + | 0.146915i | ||||
\(582\) | −3.77431e9 | − | 3.50205e9i | −0.793609 | − | 0.736362i | ||||
\(583\) | −5.66370e7 | − | 1.74702e7i | −0.0118375 | − | 0.00365139i | ||||
\(584\) | 3.27716e9 | − | 8.35007e9i | 0.680852 | − | 1.73478i | ||||
\(585\) | −4.40283e9 | − | 3.00180e9i | −0.909257 | − | 0.619921i | ||||
\(586\) | 5.68684e9 | − | 2.73864e9i | 1.16743 | − | 0.562203i | ||||
\(587\) | −2.47280e9 | + | 2.29442e9i | −0.504609 | + | 0.468209i | −0.890920 | − | 0.454159i | \(-0.849940\pi\) |
0.386311 | + | 0.922369i | \(0.373749\pi\) | |||||||
\(588\) | −4.30234e9 | − | 6.48473e8i | −0.872738 | − | 0.131544i | ||||
\(589\) | −5.19714e8 | − | 6.93510e9i | −0.104800 | − | 1.39846i | ||||
\(590\) | 6.25043e9 | + | 1.59258e10i | 1.25293 | + | 3.19242i | ||||
\(591\) | −5.71360e8 | + | 2.50329e9i | −0.113855 | + | 0.498833i | ||||
\(592\) | 2.47514e8 | − | 3.30285e9i | 0.0490314 | − | 0.654279i | ||||
\(593\) | −3.08519e9 | + | 9.51655e8i | −0.607562 | + | 0.187408i | −0.583245 | − | 0.812296i | \(-0.698217\pi\) |
−0.0243168 | + | 0.999704i | \(0.507741\pi\) | |||||||
\(594\) | −2.35005e9 | − | 1.13172e9i | −0.460070 | − | 0.221558i | ||||
\(595\) | 7.48557e7 | + | 1.29654e8i | 0.0145685 | + | 0.0252334i | ||||
\(596\) | −3.48086e9 | + | 6.02903e9i | −0.673480 | + | 1.16650i | ||||
\(597\) | −1.50683e9 | + | 1.02734e9i | −0.289837 | + | 0.197607i | ||||
\(598\) | 1.57871e9 | + | 6.91680e9i | 0.301890 | + | 1.32267i | ||||
\(599\) | −3.37553e9 | + | 5.08780e8i | −0.641724 | + | 0.0967244i | −0.461840 | − | 0.886963i | \(-0.652811\pi\) |
−0.179885 | + | 0.983688i | \(0.557572\pi\) | |||||||
\(600\) | 3.94678e9 | − | 4.94911e9i | 0.745957 | − | 0.935400i | ||||
\(601\) | −1.21795e6 | −0.000228859 | −0.000114430 | − | 1.00000i | \(-0.500036\pi\) | ||||
−0.000114430 | 1.00000i | \(0.500036\pi\) | ||||||||
\(602\) | −6.89539e8 | + | 1.81642e9i | −0.128816 | + | 0.339336i | ||||
\(603\) | 5.16921e9 | 0.960093 | ||||||||
\(604\) | 1.64530e9 | − | 2.06314e9i | 0.303819 | − | 0.380977i | ||||
\(605\) | −7.69042e9 | + | 1.15914e9i | −1.41191 | + | 0.212811i | ||||
\(606\) | 1.75867e9 | + | 7.70525e9i | 0.321019 | + | 1.40648i | ||||
\(607\) | −4.91513e9 | + | 3.35108e9i | −0.892021 | + | 0.608169i | −0.920206 | − | 0.391433i | \(-0.871979\pi\) |
0.0281858 | + | 0.999603i | \(0.491027\pi\) | |||||||
\(608\) | −1.08035e9 | + | 1.87123e9i | −0.194941 | + | 0.337648i | ||||
\(609\) | 1.54194e8 | + | 2.67072e8i | 0.0276635 | + | 0.0479145i | ||||
\(610\) | −3.98242e9 | − | 1.91783e9i | −0.710382 | − | 0.342102i | ||||
\(611\) | −2.85119e9 | + | 8.79477e8i | −0.505688 | + | 0.155984i | ||||
\(612\) | 5.03028e7 | − | 6.71244e8i | 0.00887079 | − | 0.118372i | ||||
\(613\) | −5.21859e8 | + | 2.28641e9i | −0.0915042 | + | 0.400906i | −0.999850 | − | 0.0173135i | \(-0.994489\pi\) |
0.908346 | + | 0.418220i | \(0.137346\pi\) | |||||||
\(614\) | 2.43533e9 | + | 6.20513e9i | 0.424589 | + | 1.08184i | ||||
\(615\) | 5.23789e8 | + | 6.98948e9i | 0.0908016 | + | 1.21166i | ||||
\(616\) | 6.31683e8 | + | 9.52108e7i | 0.108885 | + | 0.0164117i | ||||
\(617\) | 3.38477e9 | − | 3.14061e9i | 0.580138 | − | 0.538290i | −0.334588 | − | 0.942365i | \(-0.608597\pi\) |
0.914726 | + | 0.404075i | \(0.132407\pi\) | |||||||
\(618\) | −6.71373e9 | + | 3.23316e9i | −1.14421 | + | 0.551021i | ||||
\(619\) | 3.36446e9 | + | 2.29385e9i | 0.570162 | + | 0.388730i | 0.813807 | − | 0.581135i | \(-0.197391\pi\) |
−0.243646 | + | 0.969864i | \(0.578343\pi\) | |||||||
\(620\) | 9.54371e9 | − | 2.43170e10i | 1.60822 | − | 4.09769i | ||||
\(621\) | −4.41629e9 | − | 1.36225e9i | −0.740010 | − | 0.228263i | ||||
\(622\) | −1.14849e10 | − | 1.06564e10i | −1.91364 | − | 1.77560i | ||||
\(623\) | −1.24753e9 | − | 1.56435e9i | −0.206701 | − | 0.259194i | ||||
\(624\) | 1.06503e9 | + | 1.33550e9i | 0.175475 | + | 0.220038i | ||||
\(625\) | −1.89191e8 | − | 1.75543e8i | −0.0309970 | − | 0.0287610i | ||||
\(626\) | 1.39056e10 | + | 4.28930e9i | 2.26558 | + | 0.698837i | ||||
\(627\) | 3.74846e8 | − | 9.55092e8i | 0.0607318 | − | 0.154742i | ||||
\(628\) | −1.36841e10 | − | 9.32965e9i | −2.20474 | − | 1.50316i | ||||
\(629\) | 4.86156e8 | − | 2.34120e8i | 0.0778929 | − | 0.0375113i | ||||
\(630\) | −2.05045e9 | + | 1.90254e9i | −0.326707 | + | 0.303140i | ||||
\(631\) | −8.01186e9 | − | 1.20759e9i | −1.26949 | − | 0.191345i | −0.520465 | − | 0.853883i | \(-0.674241\pi\) |
−0.749028 | + | 0.662538i | \(0.769479\pi\) | |||||||
\(632\) | −7.51025e8 | − | 1.00217e10i | −0.118344 | − | 1.57919i | ||||
\(633\) | −2.76075e8 | − | 7.03427e8i | −0.0432627 | − | 0.110232i | ||||
\(634\) | 3.71111e8 | − | 1.62595e9i | 0.0578352 | − | 0.253392i | ||||
\(635\) | 9.42968e8 | − | 1.25830e10i | 0.146147 | − | 1.95019i | ||||
\(636\) | −2.04497e8 | + | 6.30791e7i | −0.0315201 | + | 0.00972267i | ||||
\(637\) | −5.02614e9 | − | 2.42046e9i | −0.770454 | − | 0.371031i | ||||
\(638\) | 1.01060e9 | + | 1.75040e9i | 0.154065 | + | 0.266849i | ||||
\(639\) | 3.01126e9 | − | 5.21565e9i | 0.456557 | − | 0.790780i | ||||
\(640\) | −1.62974e10 | + | 1.11114e10i | −2.45747 | + | 1.67548i | ||||
\(641\) | −2.09672e9 | − | 9.18635e9i | −0.314440 | − | 1.37765i | −0.847150 | − | 0.531354i | \(-0.821683\pi\) |
0.532709 | − | 0.846298i | \(-0.321174\pi\) | |||||||
\(642\) | 7.64493e9 | − | 1.15229e9i | 1.14025 | − | 0.171865i | ||||
\(643\) | −8.73133e8 | + | 1.09487e9i | −0.129521 | + | 0.162415i | −0.842363 | − | 0.538910i | \(-0.818836\pi\) |
0.712842 | + | 0.701325i | \(0.247408\pi\) | |||||||
\(644\) | 2.42800e9 | 0.358218 | ||||||||
\(645\) | 2.78493e9 | + | 4.70135e9i | 0.408653 | + | 0.689864i | ||||
\(646\) | 9.43198e8 | 0.137654 | ||||||||
\(647\) | 3.48457e9 | − | 4.36952e9i | 0.505807 | − | 0.634262i | −0.461721 | − | 0.887025i | \(-0.652768\pi\) |
0.967528 | + | 0.252763i | \(0.0813394\pi\) | |||||||
\(648\) | 3.32534e9 | − | 5.01214e8i | 0.480091 | − | 0.0723621i | ||||
\(649\) | 6.70728e8 | + | 2.93865e9i | 0.0963142 | + | 0.421980i | ||||
\(650\) | 1.43849e10 | − | 9.80743e9i | 2.05451 | − | 1.40074i | ||||
\(651\) | 5.38538e8 | − | 9.32775e8i | 0.0765037 | − | 0.132508i | ||||
\(652\) | −4.37890e9 | − | 7.58447e9i | −0.618726 | − | 1.07166i | ||||
\(653\) | 3.70482e9 | + | 1.78415e9i | 0.520680 | + | 0.250746i | 0.675715 | − | 0.737163i | \(-0.263835\pi\) |
−0.155036 | + | 0.987909i | \(0.549549\pi\) | |||||||
\(654\) | 6.76026e9 | − | 2.08526e9i | 0.945020 | − | 0.291500i | ||||
\(655\) | −2.68848e8 | + | 3.58752e9i | −0.0373819 | + | 0.498827i | ||||
\(656\) | −1.55054e9 | + | 6.79338e9i | −0.214447 | + | 0.939555i | ||||
\(657\) | 2.52814e9 | + | 6.44158e9i | 0.347794 | + | 0.886164i | ||||
\(658\) | 1.17043e8 | + | 1.56184e9i | 0.0160161 | + | 0.213720i | ||||
\(659\) | 1.81129e9 | + | 2.73008e8i | 0.246541 | + | 0.0371601i | 0.271150 | − | 0.962537i | \(-0.412596\pi\) |
−0.0246092 | + | 0.999697i | \(0.507834\pi\) | |||||||
\(660\) | 2.82513e9 | − | 2.62134e9i | 0.382503 | − | 0.354911i | ||||
\(661\) | 6.43127e9 | − | 3.09713e9i | 0.866146 | − | 0.417114i | 0.0526011 | − | 0.998616i | \(-0.483249\pi\) |
0.813545 | + | 0.581501i | \(0.197535\pi\) | |||||||
\(662\) | 1.12153e10 | + | 7.64647e9i | 1.50248 | + | 1.02437i | ||||
\(663\) | −1.01669e8 | + | 2.59049e8i | −0.0135485 | + | 0.0345211i | ||||
\(664\) | 9.36459e9 | + | 2.88859e9i | 1.24137 | + | 0.382911i | ||||
\(665\) | −1.87319e9 | − | 1.73807e9i | −0.247006 | − | 0.229188i | ||||
\(666\) | 6.28572e9 | + | 7.88205e9i | 0.824509 | + | 1.03390i | ||||
\(667\) | 2.23287e9 | + | 2.79993e9i | 0.291356 | + | 0.365349i | ||||
\(668\) | −1.83991e10 | − | 1.70719e10i | −2.38824 | − | 2.21597i | ||||
\(669\) | −1.08761e9 | − | 3.35482e8i | −0.140437 | − | 0.0433189i | ||||
\(670\) | −9.93982e9 | + | 2.53262e10i | −1.27678 | + | 3.25319i | ||||
\(671\) | −6.43438e8 | − | 4.38688e8i | −0.0822200 | − | 0.0560567i | ||||
\(672\) | −3.01497e8 | + | 1.45193e8i | −0.0383258 | + | 0.0184567i | ||||
\(673\) | −9.39799e9 | + | 8.72006e9i | −1.18845 | + | 1.10272i | −0.195936 | + | 0.980617i | \(0.562775\pi\) |
−0.992517 | + | 0.122107i | \(0.961035\pi\) | |||||||
\(674\) | 7.69082e9 | + | 1.15920e9i | 0.967526 | + | 0.145831i | ||||
\(675\) | 8.47533e8 | + | 1.13095e10i | 0.106070 | + | 1.41541i | ||||
\(676\) | −1.08162e9 | − | 2.75593e9i | −0.134667 | − | 0.343127i | ||||
\(677\) | 2.44320e9 | − | 1.07044e10i | 0.302621 | − | 1.32587i | −0.563533 | − | 0.826093i | \(-0.690558\pi\) |
0.866154 | − | 0.499777i | \(-0.166585\pi\) | |||||||
\(678\) | −2.73218e8 | + | 3.64584e9i | −0.0336671 | + | 0.449256i | ||||
\(679\) | −2.15886e9 | + | 6.65919e8i | −0.264655 | + | 0.0816352i | ||||
\(680\) | 1.48806e9 | + | 7.16610e8i | 0.181484 | + | 0.0873980i | ||||
\(681\) | 8.69486e8 | + | 1.50599e9i | 0.105499 | + | 0.182729i | ||||
\(682\) | 3.52961e9 | − | 6.11346e9i | 0.426070 | − | 0.737975i | ||||
\(683\) | −3.05260e9 | + | 2.08123e9i | −0.366605 | + | 0.249947i | −0.732585 | − | 0.680676i | \(-0.761686\pi\) |
0.365980 | + | 0.930623i | \(0.380734\pi\) | |||||||
\(684\) | 2.55659e9 | + | 1.12011e10i | 0.305467 | + | 1.33834i | ||||
\(685\) | 9.70635e9 | − | 1.46300e9i | 1.15382 | − | 0.173911i | ||||
\(686\) | −3.73925e9 | + | 4.68887e9i | −0.442232 | + | 0.554541i | ||||
\(687\) | 3.18043e9 | 0.374229 | ||||||||
\(688\) | 1.26799e9 | + | 5.28228e9i | 0.148442 | + | 0.618389i | ||||
\(689\) | −2.74389e8 | −0.0319595 | ||||||||
\(690\) | 6.53032e9 | − | 8.18876e9i | 0.756768 | − | 0.948957i | ||||
\(691\) | −5.31303e9 | + | 8.00811e8i | −0.612589 | + | 0.0923329i | −0.448006 | − | 0.894030i | \(-0.647866\pi\) |
−0.164583 | + | 0.986363i | \(0.552628\pi\) | |||||||
\(692\) | 3.35315e9 | + | 1.46911e10i | 0.384664 | + | 1.68533i | ||||
\(693\) | −4.07179e8 | + | 2.77610e8i | −0.0464749 | + | 0.0316861i | ||||
\(694\) | 6.80032e9 | − | 1.17785e10i | 0.772273 | − | 1.33762i | ||||
\(695\) | −9.19710e8 | − | 1.59298e9i | −0.103921 | − | 0.179997i | ||||
\(696\) | 3.06522e9 | + | 1.47613e9i | 0.344611 | + | 0.165956i | ||||
\(697\) | −1.08477e9 | + | 3.34607e8i | −0.121345 | + | 0.0374300i | ||||
\(698\) | 7.98267e8 | − | 1.06521e10i | 0.0888493 | − | 1.18561i | ||||
\(699\) | 1.27469e9 | − | 5.58478e9i | 0.141167 | − | 0.618495i | ||||
\(700\) | −2.17677e9 | − | 5.54633e9i | −0.239867 | − | 0.611171i | ||||
\(701\) | −3.41909e8 | − | 4.56246e9i | −0.0374885 | − | 0.500249i | −0.984070 | − | 0.177783i | \(-0.943107\pi\) |
0.946581 | − | 0.322466i | \(-0.104512\pi\) | |||||||
\(702\) | −1.19404e10 | − | 1.79972e9i | −1.30268 | − | 0.196348i | ||||
\(703\) | −6.75139e9 | + | 6.26437e9i | −0.732908 | + | 0.680039i | ||||
\(704\) | −3.81875e9 | + | 1.83901e9i | −0.412493 | + | 0.198646i | ||||
\(705\) | 3.63949e9 | + | 2.48137e9i | 0.391182 | + | 0.266704i | ||||
\(706\) | 7.03539e9 | − | 1.79259e10i | 0.752440 | − | 1.91719i | ||||
\(707\) | 3.31387e9 | + | 1.02219e9i | 0.352669 | + | 0.108784i | ||||
\(708\) | 7.97807e9 | + | 7.40257e9i | 0.844854 | + | 0.783910i | ||||
\(709\) | 3.33401e9 | + | 4.18072e9i | 0.351322 | + | 0.440544i | 0.925821 | − | 0.377961i | \(-0.123375\pi\) |
−0.574500 | + | 0.818505i | \(0.694803\pi\) | |||||||
\(710\) | 1.97635e10 | + | 2.47826e10i | 2.07233 | + | 2.59862i | ||||
\(711\) | 5.68324e9 | + | 5.27328e9i | 0.592997 | + | 0.550221i | ||||
\(712\) | −2.10930e10 | − | 6.50633e9i | −2.19007 | − | 0.675548i | ||||
\(713\) | 4.56964e9 | − | 1.16433e10i | 0.472138 | − | 1.20299i | ||||
\(714\) | 1.20694e8 | + | 8.22878e7i | 0.0124091 | + | 0.00846041i | ||||
\(715\) | 4.45201e9 | − | 2.14398e9i | 0.455497 | − | 0.219356i | ||||
\(716\) | 8.52067e9 | − | 7.90602e9i | 0.867517 | − | 0.804938i | ||||
\(717\) | −2.56541e9 | − | 3.86674e8i | −0.259920 | − | 0.0391767i | ||||
\(718\) | 5.10988e8 | + | 6.81867e9i | 0.0515200 | + | 0.687486i | ||||
\(719\) | −3.60983e9 | − | 9.19770e9i | −0.362189 | − | 0.922843i | −0.989560 | − | 0.144122i | \(-0.953964\pi\) |
0.627371 | − | 0.778721i | \(-0.284131\pi\) | |||||||
\(720\) | −1.74029e9 | + | 7.62472e9i | −0.173763 | + | 0.761308i | ||||
\(721\) | −2.44347e8 | + | 3.26059e9i | −0.0242792 | + | 0.323983i | ||||
\(722\) | 9.97124e8 | − | 3.07572e8i | 0.0985982 | − | 0.0304135i | ||||
\(723\) | −5.26073e9 | − | 2.53343e9i | −0.517681 | − | 0.249302i | ||||
\(724\) | 5.74784e9 | + | 9.95555e9i | 0.562885 | + | 0.974945i | ||||
\(725\) | 4.39412e9 | − | 7.61084e9i | 0.428242 | − | 0.741736i | ||||
\(726\) | −6.26988e9 | + | 4.27473e9i | −0.608108 | + | 0.414601i | ||||
\(727\) | 4.38262e8 | + | 1.92015e9i | 0.0423022 | + | 0.185338i | 0.991665 | − | 0.128844i | \(-0.0411267\pi\) |
−0.949363 | + | 0.314183i | \(0.898270\pi\) | |||||||
\(728\) | 2.92435e9 | − | 4.40774e8i | 0.280911 | − | 0.0423405i | ||||
\(729\) | 1.17516e9 | − | 1.47361e9i | 0.112344 | − | 0.140875i | ||||
\(730\) | −3.64215e10 | −3.46520 | ||||||||
\(731\) | −6.41980e8 | + | 6.09179e8i | −0.0607870 | + | 0.0576812i | ||||
\(732\) | −2.81182e9 | −0.264972 | ||||||||
\(733\) | 6.53838e9 | − | 8.19887e9i | 0.613206 | − | 0.768936i | −0.374165 | − | 0.927362i | \(-0.622071\pi\) |
0.987371 | + | 0.158426i | \(0.0506421\pi\) | |||||||
\(734\) | 2.76696e10 | − | 4.17052e9i | 2.58266 | − | 0.389273i | ||||
\(735\) | 1.83260e9 | + | 8.02915e9i | 0.170240 | + | 0.745872i | ||||
\(736\) | −3.21083e9 | + | 2.18910e9i | −0.296855 | + | 0.202392i | ||||
\(737\) | −2.39670e9 | + | 4.15121e9i | −0.220535 | + | 0.381978i | ||||
\(738\) | −1.06048e10 | − | 1.83681e10i | −0.971195 | − | 1.68216i | ||||
\(739\) | −1.01420e10 | − | 4.88415e9i | −0.924421 | − | 0.445178i | −0.0897734 | − | 0.995962i | \(-0.528614\pi\) |
−0.834647 | + | 0.550785i | \(0.814329\pi\) | |||||||
\(740\) | −3.30577e10 | + | 1.01969e10i | −2.99889 | + | 0.925036i | ||||
\(741\) | 3.54960e8 | − | 4.73662e9i | 0.0320491 | − | 0.427666i | ||||
\(742\) | −3.20499e7 | + | 1.40420e8i | −0.00288013 | + | 0.0126187i | ||||
\(743\) | −3.05256e9 | − | 7.77781e9i | −0.273026 | − | 0.695659i | −0.999960 | − | 0.00895151i | \(-0.997151\pi\) |
0.726934 | − | 0.686707i | \(-0.240945\pi\) | |||||||
\(744\) | −8.87965e8 | − | 1.18491e10i | −0.0790479 | − | 1.05482i | ||||
\(745\) | 1.30303e10 | + | 1.96400e9i | 1.15453 | + | 0.174018i | ||||
\(746\) | −7.04016e9 | + | 6.53231e9i | −0.620864 | + | 0.576078i | ||||
\(747\) | −6.81141e9 | + | 3.28020e9i | −0.597881 | + | 0.287924i | ||||
\(748\) | 5.15730e8 | + | 3.51619e8i | 0.0450575 | + | 0.0307197i | ||||
\(749\) | 1.23939e9 | − | 3.15791e9i | 0.107776 | − | 0.274608i | ||||
\(750\) | −9.55517e9 | − | 2.94738e9i | −0.827035 | − | 0.255106i | ||||
\(751\) | −1.79395e9 | − | 1.66454e9i | −0.154551 | − | 0.143402i | 0.599108 | − | 0.800669i | \(-0.295522\pi\) |
−0.753658 | + | 0.657266i | \(0.771713\pi\) | |||||||
\(752\) | 2.73034e9 | + | 3.42374e9i | 0.234129 | + | 0.293588i | ||||
\(753\) | −5.74438e9 | − | 7.20323e9i | −0.490299 | − | 0.614815i | ||||
\(754\) | 6.85918e9 | + | 6.36439e9i | 0.582737 | + | 0.540700i | ||||
\(755\) | −4.77303e9 | − | 1.47228e9i | −0.403626 | − | 0.124502i | ||||
\(756\) | −1.50977e9 | + | 3.84683e9i | −0.127082 | + | 0.323800i | ||||
\(757\) | 1.34555e10 | + | 9.17379e9i | 1.12736 | + | 0.768622i | 0.975548 | − | 0.219787i | \(-0.0705361\pi\) |
0.151814 | + | 0.988409i | \(0.451488\pi\) | |||||||
\(758\) | −3.44093e10 | + | 1.65706e10i | −2.86968 | + | 1.38197i | ||||
\(759\) | 1.35271e9 | − | 1.25513e9i | 0.112294 | − | 0.104194i | ||||
\(760\) | −2.78756e10 | − | 4.20157e9i | −2.30344 | − | 0.347187i | ||||
\(761\) | −2.79432e7 | − | 3.72877e8i | −0.00229843 | − | 0.0306704i | 0.995937 | − | 0.0900564i | \(-0.0287047\pi\) |
−0.998235 | + | 0.0593861i | \(0.981086\pi\) | |||||||
\(762\) | −4.49806e9 | − | 1.14609e10i | −0.368284 | − | 0.938372i | ||||
\(763\) | 6.90761e8 | − | 3.02642e9i | 0.0562979 | − | 0.246657i | ||||
\(764\) | −2.45617e8 | + | 3.27754e9i | −0.0199266 | + | 0.265901i | ||||
\(765\) | −1.21752e9 | + | 3.75555e8i | −0.0983242 | + | 0.0303290i | ||||
\(766\) | 4.45584e8 | + | 2.14582e8i | 0.0358203 | + | 0.0172501i | ||||
\(767\) | 6.97711e9 | + | 1.20847e10i | 0.558331 | + | 0.967058i | ||||
\(768\) | −5.53824e9 | + | 9.59251e9i | −0.441171 | + | 0.764131i | ||||
\(769\) | 1.54575e10 | − | 1.05387e10i | 1.22574 | − | 0.835693i | 0.235067 | − | 0.971979i | \(-0.424469\pi\) |
0.990670 | + | 0.136286i | \(0.0435165\pi\) | |||||||
\(770\) | −5.77173e8 | − | 2.52876e9i | −0.0455605 | − | 0.199614i | ||||
\(771\) | −2.47540e9 | + | 3.73107e8i | −0.194516 | + | 0.0293186i | ||||
\(772\) | 2.01576e10 | − | 2.52768e10i | 1.57681 | − | 1.97725i | ||||
\(773\) | 1.90280e10 | 1.48172 | 0.740859 | − | 0.671660i | \(-0.234419\pi\) | ||||
0.740859 | + | 0.671660i | \(0.234419\pi\) | |||||||
\(774\) | −1.37653e10 | − | 9.16111e9i | −1.06707 | − | 0.710157i | ||||
\(775\) | −3.06938e10 | −2.36862 | ||||||||
\(776\) | −1.55397e10 | + | 1.94862e10i | −1.19379 | + | 1.49696i | ||||
\(777\) | −1.41045e9 | + | 2.12591e8i | −0.107866 | + | 0.0162582i | ||||
\(778\) | −5.28675e9 | − | 2.31628e10i | −0.402495 | − | 1.76344i | ||||
\(779\) | 1.60093e10 | − | 1.09149e10i | 1.21336 | − | 0.827257i | ||||
\(780\) | 8.92081e9 | − | 1.54513e10i | 0.673090 | − | 1.16583i | ||||
\(781\) | 2.79234e9 | + | 4.83647e9i | 0.209744 | + | 0.363287i | ||||
\(782\) | 1.52837e9 | + | 7.36023e8i | 0.114289 | + | 0.0550386i | ||||
\(783\) | −5.82455e9 | + | 1.79664e9i | −0.433607 | + | 0.133750i | ||||
\(784\) | −6.11850e8 | + | 8.16457e9i | −0.0453460 | + | 0.605100i | ||||
\(785\) | −6.97583e9 | + | 3.05631e10i | −0.514698 | + | 2.25504i | ||||
\(786\) | 1.28243e9 | + | 3.26758e9i | 0.0942010 | + | 0.240020i | ||||
\(787\) | 8.66351e8 | + | 1.15606e10i | 0.0633552 | + | 0.845416i | 0.934857 | + | 0.355024i | \(0.115527\pi\) |
−0.871502 | + | 0.490392i | \(0.836854\pi\) | |||||||
\(788\) | 2.63643e10 | + | 3.97378e9i | 1.91944 | + | 0.289309i | ||||
\(789\) | 8.55422e8 | − | 7.93716e8i | 0.0620027 | − | 0.0575301i | ||||
\(790\) | −3.67644e10 | + | 1.77048e10i | −2.65297 | + | 1.27760i | ||||
\(791\) | 1.32549e9 | + | 9.03706e8i | 0.0952269 | + | 0.0649246i | ||||
\(792\) | −1.98624e9 | + | 5.06086e9i | −0.142067 | + | 0.361981i | ||||
\(793\) | −3.44504e9 | − | 1.06265e9i | −0.245323 | − | 0.0756721i | ||||
\(794\) | −2.16626e10 | − | 2.01000e10i | −1.53582 | − | 1.42503i | ||||
\(795\) | 2.52562e8 | + | 3.16703e8i | 0.0178272 | + | 0.0223546i | ||||
\(796\) | 1.18071e10 | + | 1.48056e10i | 0.829750 | + | 1.04047i | ||||
\(797\) | 9.55704e9 | + | 8.86764e9i | 0.668682 | + | 0.620446i | 0.939648 | − | 0.342143i | \(-0.111153\pi\) |
−0.270966 | + | 0.962589i | \(0.587343\pi\) | |||||||
\(798\) | −2.38252e9 | − | 7.34910e8i | −0.165969 | − | 0.0511946i | ||||
\(799\) | −2.60643e8 | + | 6.64108e8i | −0.0180773 | + | 0.0460601i | ||||
\(800\) | 7.87923e9 | + | 5.37197e9i | 0.544088 | + | 0.370953i | ||||
\(801\) | 1.53422e10 | − | 7.38841e9i | 1.05481 | − | 0.507969i | ||||
\(802\) | 2.90661e10 | − | 2.69694e10i | 1.98965 | − | 1.84613i | ||||
\(803\) | −6.34518e9 | − | 9.56382e8i | −0.432454 | − | 0.0651819i | ||||
\(804\) | 1.29338e9 | + | 1.72590e10i | 0.0877669 | + | 1.17117i | ||||
\(805\) | −1.67904e9 | − | 4.27813e9i | −0.113442 | − | 0.289047i | ||||
\(806\) | 7.27206e9 | − | 3.18610e10i | 0.489198 | − | 2.14332i | ||||
\(807\) | −8.49175e8 | + | 1.13315e10i | −0.0568774 | + | 0.758977i | ||||
\(808\) | 3.65586e10 | − | 1.12768e10i | 2.43809 | − | 0.752052i | ||||
\(809\) | −1.51880e10 | − | 7.31417e9i | −1.00851 | − | 0.485674i | −0.144694 | − | 0.989476i | \(-0.546220\pi\) |
−0.863819 | + | 0.503802i | \(0.831934\pi\) | |||||||
\(810\) | −6.82720e9 | − | 1.18251e10i | −0.451383 | − | 0.781818i | ||||
\(811\) | −9.71265e9 | + | 1.68228e10i | −0.639389 | + | 1.10745i | 0.346179 | + | 0.938169i | \(0.387479\pi\) |
−0.985567 | + | 0.169285i | \(0.945854\pi\) | |||||||
\(812\) | 2.64581e9 | − | 1.80388e9i | 0.173425 | − | 0.118239i | ||||
\(813\) | −2.06317e8 | − | 9.03935e8i | −0.0134654 | − | 0.0589957i | ||||
\(814\) | −9.24417e9 | + | 1.39333e9i | −0.600734 | + | 0.0905461i | ||||
\(815\) | −1.03357e10 | + | 1.29605e10i | −0.668786 | + | 0.838632i | ||||
\(816\) | 4.08429e8 | 0.0263148 | ||||||||
\(817\) | 7.40598e9 | − | 1.31656e10i | 0.475122 | − | 0.844623i | ||||
\(818\) | 1.58606e10 | 1.01317 | ||||||||
\(819\) | −1.42246e9 | + | 1.78370e9i | −0.0904784 | + | 0.113456i | ||||
\(820\) | 7.19678e10 | − | 1.08474e10i | 4.55816 | − | 0.687033i | ||||
\(821\) | −6.16671e7 | − | 2.70181e8i | −0.00388913 | − | 0.0170394i | 0.972946 | − | 0.231032i | \(-0.0742103\pi\) |
−0.976835 | + | 0.213993i | \(0.931353\pi\) | |||||||
\(822\) | 7.91342e9 | − | 5.39528e9i | 0.496950 | − | 0.338815i | ||||
\(823\) | 1.34754e10 | − | 2.33401e10i | 0.842640 | − | 1.45949i | −0.0450156 | − | 0.998986i | \(-0.514334\pi\) |
0.887655 | − | 0.460508i | \(-0.152333\pi\) | |||||||
\(824\) | 1.80358e10 | + | 3.12390e10i | 1.12303 | + | 1.94514i | ||||
\(825\) | −4.07987e9 | − | 1.96476e9i | −0.252963 | − | 0.121821i | ||||
\(826\) | 6.99936e9 | − | 2.15902e9i | 0.432143 | − | 0.133299i | ||||
\(827\) | −6.97612e8 | + | 9.30899e9i | −0.0428889 | + | 0.572312i | 0.933820 | + | 0.357743i | \(0.116454\pi\) |
−0.976709 | + | 0.214569i | \(0.931165\pi\) | |||||||
\(828\) | −4.59807e9 | + | 2.01455e10i | −0.281494 | + | 1.23331i | ||||
\(829\) | 1.36721e9 | + | 3.48358e9i | 0.0833476 | + | 0.212366i | 0.966472 | − | 0.256773i | \(-0.0826594\pi\) |
−0.883124 | + | 0.469139i | \(0.844564\pi\) | |||||||
\(830\) | −2.97358e9 | − | 3.96796e10i | −0.180512 | − | 2.40876i | ||||
\(831\) | 1.27743e10 | + | 1.92541e9i | 0.772205 | + | 0.116391i | ||||
\(832\) | −1.43839e10 | + | 1.33463e10i | −0.865853 | + | 0.803394i | ||||
\(833\) | −1.20177e9 | + | 5.78740e8i | −0.0720381 | + | 0.0346917i | ||||
\(834\) | −1.48290e9 | − | 1.01102e9i | −0.0885177 | − | 0.0603504i | ||||
\(835\) | −1.73570e10 | + | 4.42250e10i | −1.03175 | + | 2.62884i | ||||
\(836\) | −1.01806e10 | − | 3.14030e9i | −0.602631 | − | 0.185887i | ||||
\(837\) | 1.56057e10 | + | 1.44799e10i | 0.919906 | + | 0.853548i | ||||
\(838\) | 2.29308e10 | + | 2.87543e10i | 1.34606 | + | 1.68791i | ||||
\(839\) | 8.71419e9 | + | 1.09273e10i | 0.509402 | + | 0.638769i | 0.968321 | − | 0.249708i | \(-0.0803348\pi\) |
−0.458919 | + | 0.888478i | \(0.651763\pi\) | |||||||
\(840\) | −3.20047e9 | − | 2.96960e9i | −0.186310 | − | 0.172871i | ||||
\(841\) | −1.19701e10 | − | 3.69229e9i | −0.693925 | − | 0.214048i | ||||
\(842\) | 1.24795e10 | − | 3.17972e10i | 0.720451 | − | 1.83568i | ||||
\(843\) | −7.25178e9 | − | 4.94418e9i | −0.416916 | − | 0.284248i | ||||
\(844\) | −7.06957e9 | + | 3.40453e9i | −0.404757 | + | 0.194921i | ||||
\(845\) | −4.10797e9 | + | 3.81164e9i | −0.234222 | + | 0.217327i | ||||
\(846\) | −1.31805e10 | − | 1.98663e9i | −0.748401 | − | 0.112803i | ||||
\(847\) | 2.48832e8 | + | 3.32043e9i | 0.0140707 | + | 0.187760i | ||||
\(848\) | 1.47126e8 | + | 3.74871e8i | 0.00828523 | + | 0.0211104i | ||||
\(849\) | 5.03363e8 | − | 2.20538e9i | 0.0282296 | − | 0.123682i | ||||
\(850\) | 3.11086e8 | − | 4.15115e9i | 0.0173746 | − | 0.231848i | ||||
\(851\) | −1.58284e10 | + | 4.88242e9i | −0.880407 | + | 0.271570i | ||||
\(852\) | 1.81675e10 | + | 8.74901e9i | 1.00637 | + | 0.484641i | ||||
\(853\) | 1.64833e10 | + | 2.85498e10i | 0.909330 | + | 1.57501i | 0.814997 | + | 0.579464i | \(0.196738\pi\) |
0.0943322 | + | 0.995541i | \(0.469928\pi\) | |||||||
\(854\) | −9.46214e8 | + | 1.63889e9i | −0.0519861 | + | 0.0900425i | ||||
\(855\) | 1.79684e10 | − | 1.22507e10i | 0.983170 | − | 0.670314i | ||||
\(856\) | −8.32787e9 | − | 3.64868e10i | −0.453812 | − | 1.98828i | ||||
\(857\) | −1.25223e10 | + | 1.88744e9i | −0.679598 | + | 0.102433i | −0.479765 | − | 0.877397i | \(-0.659278\pi\) |
−0.199833 | + | 0.979830i | \(0.564040\pi\) | |||||||
\(858\) | 3.00608e9 | − | 3.76951e9i | 0.162478 | − | 0.203741i | ||||
\(859\) | −1.00416e10 | −0.540538 | −0.270269 | − | 0.962785i | \(-0.587113\pi\) | ||||
−0.270269 | + | 0.962785i | \(0.587113\pi\) | |||||||
\(860\) | 4.65202e10 | − | 3.24854e10i | 2.49401 | − | 1.74158i | ||||
\(861\) | 3.00085e9 | 0.160226 | ||||||||
\(862\) | −3.20272e10 | + | 4.01608e10i | −1.70311 | + | 2.13564i | ||||
\(863\) | −2.96304e10 | + | 4.46607e9i | −1.56928 | + | 0.236531i | −0.875342 | − | 0.483505i | \(-0.839364\pi\) |
−0.693937 | + | 0.720036i | \(0.744125\pi\) | |||||||
\(864\) | −1.47179e9 | − | 6.44834e9i | −0.0776333 | − | 0.340134i | ||||
\(865\) | 2.35669e10 | − | 1.60677e10i | 1.23807 | − | 0.844105i | ||||
\(866\) | −2.51966e10 | + | 4.36419e10i | −1.31835 | + | 2.28344i | ||||
\(867\) | −4.70451e9 | − | 8.14844e9i | −0.245159 | − | 0.424627i | ||||
\(868\) | −1.00765e10 | − | 4.85261e9i | −0.522989 | − | 0.251858i | ||||
\(869\) | −6.86982e9 | + | 2.11906e9i | −0.355121 | + | 0.109540i | ||||
\(870\) | 1.03230e9 | − | 1.37751e10i | 0.0531481 | − | 0.709212i | ||||
\(871\) | −4.93793e9 | + | 2.16345e10i | −0.253210 | + | 1.10939i | ||||
\(872\) | −1.25115e10 | − | 3.18788e10i | −0.639002 | − | 1.62815i | ||||
\(873\) | −1.43685e9 | − | 1.91735e10i | −0.0730908 | − | 0.975329i | ||||
\(874\) | −2.86307e10 | − | 4.31539e9i | −1.45058 | − | 0.218640i | ||||
\(875\) | −3.21638e9 | + | 2.98436e9i | −0.162308 | + | 0.150599i | ||||
\(876\) | −2.08747e10 | + | 1.00527e10i | −1.04919 | + | 0.505264i | ||||
\(877\) | 1.32663e10 | + | 9.04484e9i | 0.664130 | + | 0.452796i | 0.847888 | − | 0.530176i | \(-0.177874\pi\) |
−0.183758 | + | 0.982971i | \(0.558826\pi\) | |||||||
\(878\) | 1.68883e10 | − | 4.30306e10i | 0.842083 | − | 2.14559i | ||||
\(879\) | −7.26260e9 | − | 2.24021e9i | −0.360687 | − | 0.111257i | ||||
\(880\) | −5.31626e9 | − | 4.93277e9i | −0.262976 | − | 0.244006i | ||||
\(881\) | −1.07269e10 | − | 1.34511e10i | −0.528517 | − | 0.662739i | 0.443876 | − | 0.896088i | \(-0.353603\pi\) |
−0.972393 | + | 0.233349i | \(0.925032\pi\) | |||||||
\(882\) | −1.55382e10 | − | 1.94842e10i | −0.762535 | − | 0.956188i | ||||
\(883\) | 2.09699e10 | + | 1.94573e10i | 1.02503 | + | 0.951085i | 0.998820 | − | 0.0485715i | \(-0.0154669\pi\) |
0.0262062 | + | 0.999657i | \(0.491657\pi\) | |||||||
\(884\) | 2.76128e9 | + | 8.51742e8i | 0.134440 | + | 0.0414692i | ||||
\(885\) | 7.52622e9 | − | 1.91765e10i | 0.364985 | − | 0.929967i | ||||
\(886\) | 2.17875e10 | + | 1.48545e10i | 1.05242 | + | 0.717530i | ||||
\(887\) | 7.38207e9 | − | 3.55502e9i | 0.355177 | − | 0.171044i | −0.247783 | − | 0.968816i | \(-0.579702\pi\) |
0.602960 | + | 0.797771i | \(0.293988\pi\) | |||||||
\(888\) | −1.15352e10 | + | 1.07031e10i | −0.552814 | + | 0.512937i | ||||
\(889\) | −5.34203e9 | − | 8.05181e8i | −0.255006 | − | 0.0384359i | ||||
\(890\) | 6.69775e9 | + | 8.93753e10i | 0.318467 | + | 4.24964i | ||||
\(891\) | −8.78891e8 | − | 2.23938e9i | −0.0416259 | − | 0.106061i | ||||
\(892\) | −2.62987e9 | + | 1.15222e10i | −0.124067 | + | 0.543574i | ||||
\(893\) | 9.09990e8 | − | 1.21430e10i | 0.0427618 | − | 0.570617i | ||||
\(894\) | 1.22863e10 | − | 3.78982e9i | 0.575095 | − | 0.177393i | ||||
\(895\) | −1.98227e10 | − | 9.54613e9i | −0.924237 | − | 0.445089i | ||||
\(896\) | 4.22246e9 | + | 7.31352e9i | 0.196105 | + | 0.339663i | ||||
\(897\) | 4.27139e9 | − | 7.39826e9i | 0.197604 | − | 0.342260i | ||||
\(898\) | 3.63484e10 | − | 2.47819e10i | 1.67501 | − | 1.14200i | ||||
\(899\) | −3.67079e9 | − | 1.60828e10i | −0.168500 | − | 0.738248i | ||||
\(900\) | 5.01411e10 | − | 7.55755e9i | 2.29269 | − | 0.345567i | ||||
\(901\) | −4.09054e7 | + | 5.12938e7i | −0.00186314 | + | 0.00233630i | ||||
\(902\) | 1.96677e10 | 0.892341 | ||||||||
\(903\) | 2.09630e9 | − | 1.03858e9i | 0.0947427 | − | 0.0469388i | ||||
\(904\) | 1.76981e10 | 0.796776 | ||||||||
\(905\) | 1.35668e10 | − | 1.70123e10i | 0.608428 | − | 0.762944i | ||||
\(906\) | −4.81923e9 | + | 7.26381e8i | −0.215292 | + | 0.0324501i | ||||
\(907\) | −4.71714e9 | − | 2.06671e10i | −0.209920 | − | 0.919718i | −0.964619 | − | 0.263648i | \(-0.915074\pi\) |
0.754699 | − | 0.656071i | \(-0.227783\pi\) | |||||||
\(908\) | 1.49195e10 | − | 1.01719e10i | 0.661383 | − | 0.450923i | ||||
\(909\) | −1.47570e10 | + | 2.55599e10i | −0.651666 | + | 1.12872i | ||||
\(910\) | −6.00393e9 | − | 1.03991e10i | −0.264113 | − | 0.457458i | ||||
\(911\) | −2.70025e10 | − | 1.30037e10i | −1.18328 | − | 0.569840i | −0.264418 | − | 0.964408i | \(-0.585180\pi\) |
−0.918867 | + | 0.394568i | \(0.870894\pi\) | |||||||
\(912\) | −6.66151e9 | + | 2.05480e9i | −0.290798 | + | 0.0896992i | ||||
\(913\) | 5.23893e8 | − | 6.99087e9i | 0.0227822 | − | 0.304007i | ||||
\(914\) | −1.21881e10 | + | 5.33996e10i | −0.527989 | + | 2.31327i | ||||
\(915\) | 1.94447e9 | + | 4.95443e9i | 0.0839127 | + | 0.213806i | ||||
\(916\) | −2.46795e9 | − | 3.29325e10i | −0.106097 | − | 1.41576i | ||||
\(917\) | 1.52305e9 | + | 2.29564e8i | 0.0652263 | + | 0.00983129i | ||||
\(918\) | −2.11649e9 | + | 1.96382e9i | −0.0902957 | + | 0.0837822i | ||||
\(919\) | 1.53183e9 | − | 7.37688e8i | 0.0651036 | − | 0.0313522i | −0.401049 | − | 0.916057i | \(-0.631354\pi\) |
0.466152 | + | 0.884705i | \(0.345640\pi\) | |||||||
\(920\) | −4.18912e10 | − | 2.85609e10i | −1.77364 | − | 1.20925i | ||||
\(921\) | 2.93241e9 | − | 7.47166e9i | 0.123685 | − | 0.315144i | ||||
\(922\) | −5.60651e10 | − | 1.72938e10i | −2.35578 | − | 0.726662i | ||||
\(923\) | 1.89523e10 | + | 1.75852e10i | 0.793336 | + | 0.736108i | ||||
\(924\) | −1.02877e9 | − | 1.29003e9i | −0.0429007 | − | 0.0537958i | ||||
\(925\) | 2.53437e10 | + | 3.17800e10i | 1.05287 | + | 1.32025i | ||||
\(926\) | −2.20260e10 | − | 2.04372e10i | −0.911586 | − | 0.845828i | ||||
\(927\) | −2.65909e10 | − | 8.20219e9i | −1.09636 | − | 0.338182i | ||||
\(928\) | −1.87247e9 | + | 4.77097e9i | −0.0769124 | + | 0.195970i | ||||
\(929\) | −2.46401e10 | − | 1.67994e10i | −1.00830 | − | 0.687445i | −0.0578474 | − | 0.998325i | \(-0.518424\pi\) |
−0.950449 | + | 0.310881i | \(0.899376\pi\) | |||||||
\(930\) | −4.34679e10 | + | 2.09330e10i | −1.77206 | + | 0.853379i | ||||
\(931\) | 1.66893e10 | − | 1.54854e10i | 0.677819 | − | 0.628924i | ||||
\(932\) | −5.88181e10 | − | 8.86541e9i | −2.37988 | − | 0.358710i | ||||
\(933\) | 1.40979e9 | + | 1.88123e10i | 0.0568288 | + | 0.758328i | ||||
\(934\) | −1.98281e10 | − | 5.05212e10i | −0.796283 | − | 2.02890i | ||||
\(935\) | 2.62907e8 | − | 1.15187e9i | 0.0105187 | − | 0.0460854i | ||||
\(936\) | −1.88087e9 | + | 2.50985e10i | −0.0749711 | + | 1.00042i | ||||
\(937\) | 4.92060e9 | − | 1.51781e9i | 0.195402 | − | 0.0602736i | −0.195509 | − | 0.980702i | \(-0.562636\pi\) |
0.390912 | + | 0.920428i | \(0.372160\pi\) | |||||||
\(938\) | 1.04948e10 | + | 5.05401e9i | 0.415205 | + | 0.199952i | ||||
\(939\) | −8.76115e9 | − | 1.51748e10i | −0.345328 | − | 0.598126i | ||||
\(940\) | 2.28697e10 | − | 3.96115e10i | 0.898077 | − | 1.55551i | ||||
\(941\) | −2.11583e10 | + | 1.44255e10i | −0.827783 | + | 0.564373i | −0.901437 | − | 0.432911i | \(-0.857487\pi\) |
0.0736533 | + | 0.997284i | \(0.476534\pi\) | |||||||
\(942\) | 6.80646e9 | + | 2.98210e10i | 0.265304 | + | 1.16237i | ||||
\(943\) | 3.44591e10 | − | 5.19387e9i | 1.33817 | − | 0.201697i | ||||
\(944\) | 1.27691e10 | − | 1.60119e10i | 0.494035 | − | 0.619500i | ||||
\(945\) | 7.82216e9 | 0.301520 | ||||||||
\(946\) | 1.37393e10 | − | 6.80690e9i | 0.527648 | − | 0.261415i | ||||
\(947\) | 2.24417e10 | 0.858679 | 0.429340 | − | 0.903143i | \(-0.358746\pi\) | ||||
0.429340 | + | 0.903143i | \(0.358746\pi\) | |||||||
\(948\) | −1.61845e10 | + | 2.02947e10i | −0.616977 | + | 0.773665i | ||||
\(949\) | −2.93747e10 | + | 4.42753e9i | −1.11569 | + | 0.168163i | ||||
\(950\) | 1.58106e10 | + | 6.92708e10i | 0.598296 | + | 2.62131i | ||||
\(951\) | −1.65923e9 | + | 1.13124e9i | −0.0625567 | + | 0.0426504i | ||||
\(952\) | 3.53559e8 | − | 6.12382e8i | 0.0132811 | − | 0.0230035i | ||||
\(953\) | −3.01348e9 | − | 5.21949e9i | −0.112783 | − | 0.195345i | 0.804109 | − | 0.594483i | \(-0.202643\pi\) |
−0.916891 | + | 0.399137i | \(0.869310\pi\) | |||||||
\(954\) | −1.10439e9 | − | 5.31846e8i | −0.0411815 | − | 0.0198320i | ||||
\(955\) | 5.94487e9 | − | 1.83375e9i | 0.220867 | − | 0.0681284i | ||||
\(956\) | −2.01320e9 | + | 2.68642e10i | −0.0745218 | + | 0.994425i | ||||
\(957\) | 5.41558e8 | − | 2.37272e9i | 0.0199734 | − | 0.0875094i | ||||
\(958\) | 1.55358e10 | + | 3.95847e10i | 0.570894 | + | 1.45461i | ||||
\(959\) | −3.14060e8 | − | 4.19083e9i | −0.0114987 | − | 0.153439i | ||||
\(960\) | 2.86441e10 | + | 4.31741e9i | 1.04493 | + | 0.157498i | ||||
\(961\) | −2.20668e10 | + | 2.04750e10i | −0.802061 | + | 0.744204i | ||||
\(962\) | −3.89929e10 | + | 1.87780e10i | −1.41212 | + | 0.680043i | ||||
\(963\) | 2.38546e10 | + | 1.62638e10i | 0.860754 | + | 0.586852i | ||||
\(964\) | −2.21508e10 | + | 5.64394e10i | −0.796381 | + | 2.02914i | ||||
\(965\) | −5.84775e10 | − | 1.80379e10i | −2.09480 | − | 0.646161i | ||||
\(966\) | −3.28717e9 | − | 3.05005e9i | −0.117328 | − | 0.108865i | ||||
\(967\) | 2.09892e10 | + | 2.63196e10i | 0.746454 | + | 0.936023i | 0.999506 | − | 0.0314293i | \(-0.0100059\pi\) |
−0.253052 | + | 0.967453i | \(0.581434\pi\) | |||||||
\(968\) | 2.29031e10 | + | 2.87196e10i | 0.811579 | + | 1.01769i | ||||
\(969\) | −8.32538e8 | − | 7.72482e8i | −0.0293948 | − | 0.0272744i | ||||
\(970\) | 9.67023e10 | + | 2.98287e10i | 3.40201 | + | 1.04938i | ||||
\(971\) | 4.84473e9 | − | 1.23442e10i | 0.169825 | − | 0.432708i | −0.820469 | − | 0.571690i | \(-0.806288\pi\) |
0.990295 | + | 0.138982i | \(0.0443831\pi\) | |||||||
\(972\) | −4.56051e10 | − | 3.10930e10i | −1.59287 | − | 1.08600i | ||||
\(973\) | −7.09534e8 | + | 3.41694e8i | −0.0246933 | + | 0.0118916i | ||||
\(974\) | −3.80349e10 | + | 3.52912e10i | −1.31894 | + | 1.22380i | ||||
\(975\) | −2.07295e10 | − | 3.12447e9i | −0.716262 | − | 0.107959i | ||||
\(976\) | 3.95413e8 | + | 5.27642e9i | 0.0136137 | + | 0.181662i | ||||
\(977\) | 5.04791e9 | + | 1.28619e10i | 0.173173 | + | 0.441238i | 0.990939 | − | 0.134313i | \(-0.0428827\pi\) |
−0.817766 | + | 0.575551i | \(0.804788\pi\) | |||||||
\(978\) | −3.59920e9 | + | 1.57691e10i | −0.123032 | + | 0.539040i | ||||
\(979\) | −1.18003e9 | + | 1.57464e10i | −0.0401933 | + | 0.536342i | ||||
\(980\) | 8.17178e10 | − | 2.52066e10i | 2.77348 | − | 0.855506i | ||||
\(981\) | 2.38026e10 | + | 1.14627e10i | 0.804974 | + | 0.387655i | ||||
\(982\) | −3.73444e9 | − | 6.46824e9i | −0.125845 | − | 0.217970i | ||||
\(983\) | 1.88263e10 | − | 3.26081e10i | 0.632160 | − | 1.09493i | −0.354949 | − | 0.934886i | \(-0.615502\pi\) |
0.987109 | − | 0.160048i | \(-0.0511650\pi\) | |||||||
\(984\) | 2.73529e10 | − | 1.86489e10i | 0.915210 | − | 0.623979i | ||||
\(985\) | −1.12300e10 | − | 4.92019e10i | −0.374415 | − | 1.64042i | ||||
\(986\) | 2.21230e9 | − | 3.33451e8i | 0.0734979 | − | 0.0110780i | ||||
\(987\) | 1.17584e9 | − | 1.47445e9i | 0.0389258 | − | 0.0488114i | ||||
\(988\) | −4.93219e10 | −1.62701 | ||||||||
\(989\) | 2.22744e10 | − | 1.55544e10i | 0.732184 | − | 0.511288i | ||||
\(990\) | 2.20746e10 | 0.723051 | ||||||||
\(991\) | 2.13816e9 | − | 2.68116e9i | 0.0697882 | − | 0.0875116i | −0.745712 | − | 0.666268i | \(-0.767891\pi\) |
0.815500 | + | 0.578757i | \(0.196462\pi\) | |||||||
\(992\) | 1.77006e10 | − | 2.66793e9i | 0.575700 | − | 0.0867728i | ||||
\(993\) | −3.63700e9 | − | 1.59347e10i | −0.117875 | − | 0.516443i | ||||
\(994\) | 1.12130e10 | − | 7.64491e9i | 0.362135 | − | 0.246899i | ||||
\(995\) | 1.79225e10 | − | 3.10427e10i | 0.576790 | − | 0.999030i | ||||
\(996\) | −1.26562e10 | − | 2.19213e10i | −0.405880 | − | 0.703004i | ||||
\(997\) | −2.68836e9 | − | 1.29465e9i | −0.0859121 | − | 0.0413731i | 0.390434 | − | 0.920631i | \(-0.372325\pi\) |
−0.476346 | + | 0.879258i | \(0.658039\pi\) | |||||||
\(998\) | 3.86555e10 | − | 1.19236e10i | 1.23099 | − | 0.379710i | ||||
\(999\) | 2.10685e9 | − | 2.81139e10i | 0.0668580 | − | 0.892159i |
(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 | 43.8.g.a.24.3 | yes | 300 | |
43.9 | even | 21 | inner | 43.8.g.a.9.3 | ✓ | 300 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.8.g.a.9.3 | ✓ | 300 | 43.9 | even | 21 | inner | |
43.8.g.a.24.3 | yes | 300 | 1.1 | even | 1 | trivial |