Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,8,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), 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: | \(3.74862030581\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} + 41x^{6} + 1008x^{4} + 41984x^{2} + 1048576 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{20}\cdot 3^{5} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.5 | ||
Root | \(-1.14965 - 5.53880i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.8.b.b.11.6 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.29930 | − | 11.0776i | 0.203231 | − | 0.979131i | ||||
\(3\) | 17.5181 | − | 43.3603i | 0.374595 | − | 0.927189i | ||||
\(4\) | −117.426 | − | 50.9415i | −0.917394 | − | 0.397980i | ||||
\(5\) | 151.910i | 0.543488i | 0.962370 | + | 0.271744i | \(0.0876004\pi\) | ||||
−0.962370 | + | 0.271744i | \(0.912400\pi\) | |||||||
\(6\) | −440.049 | − | 293.757i | −0.831709 | − | 0.555211i | ||||
\(7\) | − | 893.278i | − | 0.984336i | −0.870500 | − | 0.492168i | \(-0.836205\pi\) | ||
0.870500 | − | 0.492168i | \(-0.163795\pi\) | |||||||
\(8\) | −834.308 | + | 1183.67i | −0.576118 | + | 0.817367i | ||||
\(9\) | −1573.23 | − | 1519.18i | −0.719357 | − | 0.694640i | ||||
\(10\) | 1682.79 | + | 349.286i | 0.532146 | + | 0.110454i | ||||
\(11\) | 7694.02 | 1.74292 | 0.871462 | − | 0.490462i | \(-0.163172\pi\) | ||||
0.871462 | + | 0.490462i | \(0.163172\pi\) | |||||||
\(12\) | −4265.92 | + | 4199.25i | −0.712654 | + | 0.701516i | ||||
\(13\) | 5583.18 | 0.704822 | 0.352411 | − | 0.935845i | \(-0.385362\pi\) | ||||
0.352411 | + | 0.935845i | \(0.385362\pi\) | |||||||
\(14\) | −9895.37 | − | 2053.91i | −0.963794 | − | 0.200048i | ||||
\(15\) | 6586.85 | + | 2661.16i | 0.503916 | + | 0.203588i | ||||
\(16\) | 11193.9 | + | 11963.7i | 0.683224 | + | 0.730209i | ||||
\(17\) | 3139.85i | 0.155002i | 0.996992 | + | 0.0775011i | \(0.0246941\pi\) | ||||
−0.996992 | + | 0.0775011i | \(0.975306\pi\) | |||||||
\(18\) | −20446.2 | + | 13934.6i | −0.826340 | + | 0.563172i | ||||
\(19\) | − | 17169.0i | − | 0.574259i | −0.957892 | − | 0.287130i | \(-0.907299\pi\) | ||
0.957892 | − | 0.287130i | \(-0.0927011\pi\) | |||||||
\(20\) | 7738.49 | − | 17838.2i | 0.216297 | − | 0.498593i | ||||
\(21\) | −38732.8 | − | 15648.5i | −0.912665 | − | 0.368727i | ||||
\(22\) | 17690.9 | − | 85231.2i | 0.354217 | − | 1.70655i | ||||
\(23\) | −47887.8 | −0.820686 | −0.410343 | − | 0.911931i | \(-0.634591\pi\) | ||||
−0.410343 | + | 0.911931i | \(0.634591\pi\) | |||||||
\(24\) | 36709.0 | + | 56911.5i | 0.542042 | + | 0.840351i | ||||
\(25\) | 55048.5 | 0.704621 | ||||||||
\(26\) | 12837.4 | − | 61848.2i | 0.143242 | − | 0.690113i | ||||
\(27\) | −93432.1 | + | 41602.9i | −0.913530 | + | 0.406771i | ||||
\(28\) | −45504.9 | + | 104894.i | −0.391746 | + | 0.903024i | ||||
\(29\) | 204638.i | 1.55809i | 0.626968 | + | 0.779045i | \(0.284296\pi\) | ||||
−0.626968 | + | 0.779045i | \(0.715704\pi\) | |||||||
\(30\) | 44624.4 | − | 66847.6i | 0.301751 | − | 0.452024i | ||||
\(31\) | 128896.i | 0.777095i | 0.921429 | + | 0.388548i | \(0.127023\pi\) | ||||
−0.921429 | + | 0.388548i | \(0.872977\pi\) | |||||||
\(32\) | 158268. | − | 96493.7i | 0.853823 | − | 0.520564i | ||||
\(33\) | 134784. | − | 333615.i | 0.652891 | − | 1.61602i | ||||
\(34\) | 34782.0 | + | 7219.46i | 0.151767 | + | 0.0315013i | ||||
\(35\) | 135697. | 0.534975 | ||||||||
\(36\) | 107350. | + | 258535.i | 0.383481 | + | 0.923549i | ||||
\(37\) | −324324. | −1.05262 | −0.526312 | − | 0.850291i | \(-0.676426\pi\) | ||||
−0.526312 | + | 0.850291i | \(0.676426\pi\) | |||||||
\(38\) | −190192. | − | 39476.8i | −0.562275 | − | 0.116708i | ||||
\(39\) | 97806.5 | − | 242088.i | 0.264023 | − | 0.653503i | ||||
\(40\) | −179811. | − | 126739.i | −0.444229 | − | 0.313113i | ||||
\(41\) | 322779.i | 0.731412i | 0.930730 | + | 0.365706i | \(0.119172\pi\) | ||||
−0.930730 | + | 0.365706i | \(0.880828\pi\) | |||||||
\(42\) | −262406. | + | 393086.i | −0.546514 | + | 0.818682i | ||||
\(43\) | − | 418323.i | − | 0.802365i | −0.915998 | − | 0.401182i | \(-0.868599\pi\) | ||
0.915998 | − | 0.401182i | \(-0.131401\pi\) | |||||||
\(44\) | −903481. | − | 391944.i | −1.59895 | − | 0.693649i | ||||
\(45\) | 230778. | − | 238989.i | 0.377529 | − | 0.390962i | ||||
\(46\) | −110108. | + | 530481.i | −0.166789 | + | 0.803559i | ||||
\(47\) | 654411. | 0.919408 | 0.459704 | − | 0.888072i | \(-0.347955\pi\) | ||||
0.459704 | + | 0.888072i | \(0.347955\pi\) | |||||||
\(48\) | 714848. | − | 275791.i | 0.932974 | − | 0.359944i | ||||
\(49\) | 25597.6 | 0.0310823 | ||||||||
\(50\) | 126573. | − | 609805.i | 0.143201 | − | 0.689916i | ||||
\(51\) | 136145. | + | 55004.1i | 0.143716 | + | 0.0580630i | ||||
\(52\) | −655613. | − | 284415.i | −0.646600 | − | 0.280505i | ||||
\(53\) | − | 50664.2i | − | 0.0467450i | −0.999727 | − | 0.0233725i | \(-0.992560\pi\) | ||
0.999727 | − | 0.0233725i | \(-0.00744038\pi\) | |||||||
\(54\) | 246032. | + | 1.13066e6i | 0.212624 | + | 0.977134i | ||||
\(55\) | 1.16879e6i | 0.947259i | ||||||||
\(56\) | 1.05735e6 | + | 745269.i | 0.804564 | + | 0.567094i | ||||
\(57\) | −744454. | − | 300768.i | −0.532447 | − | 0.215115i | ||||
\(58\) | 2.26689e6 | + | 470524.i | 1.52557 | + | 0.316653i | ||||
\(59\) | −1.93811e6 | −1.22856 | −0.614280 | − | 0.789088i | \(-0.710553\pi\) | ||||
−0.614280 | + | 0.789088i | \(0.710553\pi\) | |||||||
\(60\) | −637906. | − | 648034.i | −0.381266 | − | 0.387319i | ||||
\(61\) | 1.37382e6 | 0.774950 | 0.387475 | − | 0.921880i | \(-0.373347\pi\) | ||||
0.387475 | + | 0.921880i | \(0.373347\pi\) | |||||||
\(62\) | 1.42786e6 | + | 296371.i | 0.760878 | + | 0.157930i | ||||
\(63\) | −1.35705e6 | + | 1.40534e6i | −0.683760 | + | 0.708089i | ||||
\(64\) | −705013. | − | 1.97510e6i | −0.336176 | − | 0.941799i | ||||
\(65\) | 848138.i | 0.383063i | ||||||||
\(66\) | −3.38574e6 | − | 2.26017e6i | −1.44961 | − | 0.967691i | ||||
\(67\) | − | 2.50568e6i | − | 1.01780i | −0.860825 | − | 0.508901i | \(-0.830052\pi\) | ||
0.860825 | − | 0.508901i | \(-0.169948\pi\) | |||||||
\(68\) | 159949. | − | 368701.i | 0.0616878 | − | 0.142198i | ||||
\(69\) | −838901. | + | 2.07643e6i | −0.307425 | + | 0.760931i | ||||
\(70\) | 312009. | − | 1.50320e6i | 0.108724 | − | 0.523810i | ||||
\(71\) | 168073. | 0.0557307 | 0.0278654 | − | 0.999612i | \(-0.491129\pi\) | ||||
0.0278654 | + | 0.999612i | \(0.491129\pi\) | |||||||
\(72\) | 3.11077e6 | − | 594734.i | 0.982210 | − | 0.187784i | ||||
\(73\) | −341826. | −0.102843 | −0.0514215 | − | 0.998677i | \(-0.516375\pi\) | ||||
−0.0514215 | + | 0.998677i | \(0.516375\pi\) | |||||||
\(74\) | −745719. | + | 3.59274e6i | −0.213926 | + | 1.03066i | ||||
\(75\) | 964343. | − | 2.38692e6i | 0.263947 | − | 0.653316i | ||||
\(76\) | −874615. | + | 2.01610e6i | −0.228544 | + | 0.526822i | ||||
\(77\) | − | 6.87289e6i | − | 1.71562i | ||||||
\(78\) | −2.45687e6 | − | 1.64009e6i | −0.586207 | − | 0.391325i | ||||
\(79\) | 3.19089e6i | 0.728144i | 0.931371 | + | 0.364072i | \(0.118614\pi\) | ||||
−0.931371 | + | 0.364072i | \(0.881386\pi\) | |||||||
\(80\) | −1.81741e6 | + | 1.70047e6i | −0.396860 | + | 0.371324i | ||||
\(81\) | 167164. | + | 4.78005e6i | 0.0349499 | + | 0.999389i | ||||
\(82\) | 3.57562e6 | + | 742166.i | 0.716148 | + | 0.148646i | ||||
\(83\) | 2.25902e6 | 0.433658 | 0.216829 | − | 0.976210i | \(-0.430429\pi\) | ||||
0.216829 | + | 0.976210i | \(0.430429\pi\) | |||||||
\(84\) | 3.75110e6 | + | 3.81065e6i | 0.690527 | + | 0.701491i | ||||
\(85\) | −476973. | −0.0842418 | ||||||||
\(86\) | −4.63401e6 | − | 961849.i | −0.785620 | − | 0.163066i | ||||
\(87\) | 8.87316e6 | + | 3.58486e6i | 1.44464 | + | 0.583653i | ||||
\(88\) | −6.41918e6 | + | 9.10720e6i | −1.00413 | + | 1.42461i | ||||
\(89\) | − | 4.66598e6i | − | 0.701581i | −0.936454 | − | 0.350791i | \(-0.885913\pi\) | ||
0.936454 | − | 0.350791i | \(-0.114087\pi\) | |||||||
\(90\) | −2.11680e6 | − | 3.10597e6i | −0.306077 | − | 0.449106i | ||||
\(91\) | − | 4.98733e6i | − | 0.693782i | ||||||
\(92\) | 5.62329e6 | + | 2.43947e6i | 0.752892 | + | 0.326617i | ||||
\(93\) | 5.58898e6 | + | 2.25801e6i | 0.720514 | + | 0.291096i | ||||
\(94\) | 1.50469e6 | − | 7.24931e6i | 0.186853 | − | 0.900221i | ||||
\(95\) | 2.60814e6 | 0.312103 | ||||||||
\(96\) | −1.41145e6 | − | 8.55293e6i | −0.162823 | − | 0.986655i | ||||
\(97\) | −5.57244e6 | −0.619933 | −0.309966 | − | 0.950748i | \(-0.600318\pi\) | ||||
−0.309966 | + | 0.950748i | \(0.600318\pi\) | |||||||
\(98\) | 58856.6 | − | 283560.i | 0.00631690 | − | 0.0304337i | ||||
\(99\) | −1.21045e7 | − | 1.16886e7i | −1.25379 | − | 1.21071i | ||||
\(100\) | −6.46415e6 | − | 2.80425e6i | −0.646415 | − | 0.280425i | ||||
\(101\) | 8.71015e6i | 0.841203i | 0.907246 | + | 0.420601i | \(0.138181\pi\) | ||||
−0.907246 | + | 0.420601i | \(0.861819\pi\) | |||||||
\(102\) | 922352. | − | 1.38169e6i | 0.0860589 | − | 0.128917i | ||||
\(103\) | 9.99180e6i | 0.900976i | 0.892782 | + | 0.450488i | \(0.148750\pi\) | ||||
−0.892782 | + | 0.450488i | \(0.851250\pi\) | |||||||
\(104\) | −4.65809e6 | + | 6.60866e6i | −0.406061 | + | 0.576098i | ||||
\(105\) | 2.37716e6 | − | 5.88388e6i | 0.200399 | − | 0.496023i | ||||
\(106\) | −561237. | − | 116492.i | −0.0457695 | − | 0.00950006i | ||||
\(107\) | −1.40125e7 | −1.10579 | −0.552893 | − | 0.833252i | \(-0.686476\pi\) | ||||
−0.552893 | + | 0.833252i | \(0.686476\pi\) | |||||||
\(108\) | 1.30907e7 | − | 125711.i | 0.999954 | − | 0.00960262i | ||||
\(109\) | −8.05294e6 | −0.595609 | −0.297805 | − | 0.954627i | \(-0.596254\pi\) | ||||
−0.297805 | + | 0.954627i | \(0.596254\pi\) | |||||||
\(110\) | 1.29474e7 | + | 2.68741e6i | 0.927490 | + | 0.192513i | ||||
\(111\) | −5.68154e6 | + | 1.40628e7i | −0.394308 | + | 0.975982i | ||||
\(112\) | 1.06870e7 | − | 9.99929e6i | 0.718771 | − | 0.672522i | ||||
\(113\) | 2.48582e6i | 0.162067i | 0.996711 | + | 0.0810337i | \(0.0258221\pi\) | ||||
−0.996711 | + | 0.0810337i | \(0.974178\pi\) | |||||||
\(114\) | −5.04351e6 | + | 7.55521e6i | −0.318835 | + | 0.477617i | ||||
\(115\) | − | 7.27461e6i | − | 0.446033i | ||||||
\(116\) | 1.04245e7 | − | 2.40299e7i | 0.620089 | − | 1.42938i | ||||
\(117\) | −8.78365e6 | − | 8.48184e6i | −0.507019 | − | 0.489598i | ||||
\(118\) | −4.45630e6 | + | 2.14696e7i | −0.249682 | + | 1.20292i | ||||
\(119\) | 2.80476e6 | 0.152574 | ||||||||
\(120\) | −8.64540e6 | + | 5.57645e6i | −0.456721 | + | 0.294593i | ||||
\(121\) | 3.97107e7 | 2.03779 | ||||||||
\(122\) | 3.15881e6 | − | 1.52186e7i | 0.157494 | − | 0.758778i | ||||
\(123\) | 1.39958e7 | + | 5.65447e6i | 0.678157 | + | 0.273983i | ||||
\(124\) | 6.56616e6 | − | 1.51358e7i | 0.309269 | − | 0.712903i | ||||
\(125\) | 2.02303e7i | 0.926441i | ||||||||
\(126\) | 1.24475e7 | + | 1.82641e7i | 0.554351 | + | 0.813396i | ||||
\(127\) | 1.33866e7i | 0.579905i | 0.957041 | + | 0.289952i | \(0.0936395\pi\) | ||||
−0.957041 | + | 0.289952i | \(0.906360\pi\) | |||||||
\(128\) | −2.35004e7 | + | 3.26852e6i | −0.990466 | + | 0.137758i | ||||
\(129\) | −1.81386e7 | − | 7.32821e6i | −0.743943 | − | 0.300562i | ||||
\(130\) | 9.39533e6 | + | 1.95012e6i | 0.375068 | + | 0.0778503i | ||||
\(131\) | 1.08402e7 | 0.421298 | 0.210649 | − | 0.977562i | \(-0.432442\pi\) | ||||
0.210649 | + | 0.977562i | \(0.432442\pi\) | |||||||
\(132\) | −3.28221e7 | + | 3.23091e7i | −1.24210 | + | 1.22269i | ||||
\(133\) | −1.53367e7 | −0.565264 | ||||||||
\(134\) | −2.77569e7 | − | 5.76130e6i | −0.996561 | − | 0.206849i | ||||
\(135\) | −6.31987e6 | − | 1.41932e7i | −0.221075 | − | 0.496493i | ||||
\(136\) | −3.71656e6 | − | 2.61960e6i | −0.126694 | − | 0.0892995i | ||||
\(137\) | − | 5.25035e6i | − | 0.174448i | −0.996189 | − | 0.0872240i | \(-0.972200\pi\) | ||
0.996189 | − | 0.0872240i | \(-0.0277996\pi\) | |||||||
\(138\) | 2.10730e7 | + | 1.40673e7i | 0.682572 | + | 0.455654i | ||||
\(139\) | − | 5.35708e7i | − | 1.69191i | −0.533256 | − | 0.845954i | \(-0.679032\pi\) | ||
0.533256 | − | 0.845954i | \(-0.320968\pi\) | |||||||
\(140\) | −1.59345e7 | − | 6.91263e6i | −0.490783 | − | 0.212909i | ||||
\(141\) | 1.14640e7 | − | 2.83755e7i | 0.344406 | − | 0.852465i | ||||
\(142\) | 386451. | − | 1.86185e6i | 0.0113262 | − | 0.0545677i | ||||
\(143\) | 4.29571e7 | 1.22845 | ||||||||
\(144\) | 564380. | − | 3.58274e7i | 0.0157508 | − | 0.999876i | ||||
\(145\) | −3.10864e7 | −0.846804 | ||||||||
\(146\) | −785960. | + | 3.78661e6i | −0.0209009 | + | 0.100697i | ||||
\(147\) | 448421. | − | 1.10992e6i | 0.0116433 | − | 0.0288192i | ||||
\(148\) | 3.80843e7 | + | 1.65216e7i | 0.965672 | + | 0.418924i | ||||
\(149\) | 1.81718e7i | 0.450035i | 0.974355 | + | 0.225018i | \(0.0722440\pi\) | ||||
−0.974355 | + | 0.225018i | \(0.927756\pi\) | |||||||
\(150\) | −2.42240e7 | − | 1.61709e7i | −0.586040 | − | 0.391213i | ||||
\(151\) | 2.62559e7i | 0.620595i | 0.950640 | + | 0.310297i | \(0.100429\pi\) | ||||
−0.950640 | + | 0.310297i | \(0.899571\pi\) | |||||||
\(152\) | 2.03225e7 | + | 1.43243e7i | 0.469380 | + | 0.330841i | ||||
\(153\) | 4.76999e6 | − | 4.93972e6i | 0.107671 | − | 0.111502i | ||||
\(154\) | −7.61352e7 | − | 1.58028e7i | −1.67982 | − | 0.348669i | ||||
\(155\) | −1.95806e7 | −0.422342 | ||||||||
\(156\) | −2.38174e7 | + | 2.34452e7i | −0.502294 | + | 0.494444i | ||||
\(157\) | 3.87538e7 | 0.799218 | 0.399609 | − | 0.916686i | \(-0.369146\pi\) | ||||
0.399609 | + | 0.916686i | \(0.369146\pi\) | |||||||
\(158\) | 3.53474e7 | + | 7.33682e6i | 0.712949 | + | 0.147982i | ||||
\(159\) | −2.19681e6 | − | 887539.i | −0.0433415 | − | 0.0175105i | ||||
\(160\) | 1.46583e7 | + | 2.40424e7i | 0.282920 | + | 0.464042i | ||||
\(161\) | 4.27771e7i | 0.807831i | ||||||||
\(162\) | 5.33358e7 | + | 9.13899e6i | 0.985635 | + | 0.168887i | ||||
\(163\) | 7.71205e7i | 1.39480i | 0.716680 | + | 0.697402i | \(0.245661\pi\) | ||||
−0.716680 | + | 0.697402i | \(0.754339\pi\) | |||||||
\(164\) | 1.64428e7 | − | 3.79028e7i | 0.291087 | − | 0.670993i | ||||
\(165\) | 5.06793e7 | + | 2.04750e7i | 0.878288 | + | 0.354838i | ||||
\(166\) | 5.19417e6 | − | 2.50246e7i | 0.0881329 | − | 0.424608i | ||||
\(167\) | −7.67209e7 | −1.27469 | −0.637347 | − | 0.770577i | \(-0.719968\pi\) | ||||
−0.637347 | + | 0.770577i | \(0.719968\pi\) | |||||||
\(168\) | 5.08378e7 | − | 3.27913e7i | 0.827188 | − | 0.533552i | ||||
\(169\) | −3.15767e7 | −0.503225 | ||||||||
\(170\) | −1.09670e6 | + | 5.28372e6i | −0.0171206 | + | 0.0824838i | ||||
\(171\) | −2.60828e7 | + | 2.70109e7i | −0.398904 | + | 0.413098i | ||||
\(172\) | −2.13100e7 | + | 4.91221e7i | −0.319325 | + | 0.736085i | ||||
\(173\) | − | 1.31412e8i | − | 1.92963i | −0.262924 | − | 0.964816i | \(-0.584687\pi\) | ||
0.262924 | − | 0.964816i | \(-0.415313\pi\) | |||||||
\(174\) | 6.01137e7 | − | 9.00506e7i | 0.865069 | − | 1.29588i | ||||
\(175\) | − | 4.91736e7i | − | 0.693584i | ||||||
\(176\) | 8.61263e7 | + | 9.20493e7i | 1.19081 | + | 1.27270i | ||||
\(177\) | −3.39519e7 | + | 8.40370e7i | −0.460212 | + | 1.13911i | ||||
\(178\) | −5.16879e7 | − | 1.07285e7i | −0.686940 | − | 0.142583i | ||||
\(179\) | 1.24203e6 | 0.0161862 | 0.00809311 | − | 0.999967i | \(-0.497424\pi\) | ||||
0.00809311 | + | 0.999967i | \(0.497424\pi\) | |||||||
\(180\) | −3.92739e7 | + | 1.63075e7i | −0.501938 | + | 0.208417i | ||||
\(181\) | −8.99706e7 | −1.12778 | −0.563892 | − | 0.825849i | \(-0.690696\pi\) | ||||
−0.563892 | + | 0.825849i | \(0.690696\pi\) | |||||||
\(182\) | −5.52476e7 | − | 1.14674e7i | −0.679303 | − | 0.140998i | ||||
\(183\) | 2.40666e7 | − | 5.95691e7i | 0.290292 | − | 0.718525i | ||||
\(184\) | 3.99531e7 | − | 5.66835e7i | 0.472812 | − | 0.670801i | ||||
\(185\) | − | 4.92680e7i | − | 0.572089i | ||||||
\(186\) | 3.78641e7 | − | 5.67207e7i | 0.431452 | − | 0.646318i | ||||
\(187\) | 2.41581e7i | 0.270157i | ||||||||
\(188\) | −7.68452e7 | − | 3.33367e7i | −0.843460 | − | 0.365906i | ||||
\(189\) | 3.71629e7 | + | 8.34608e7i | 0.400400 | + | 0.899221i | ||||
\(190\) | 5.99689e6 | − | 2.88919e7i | 0.0634291 | − | 0.305590i | ||||
\(191\) | −4.55873e7 | −0.473398 | −0.236699 | − | 0.971583i | \(-0.576066\pi\) | ||||
−0.236699 | + | 0.971583i | \(0.576066\pi\) | |||||||
\(192\) | −9.79912e7 | − | 4.03027e6i | −0.999155 | − | 0.0410941i | ||||
\(193\) | 1.60369e8 | 1.60572 | 0.802861 | − | 0.596167i | \(-0.203310\pi\) | ||||
0.802861 | + | 0.596167i | \(0.203310\pi\) | |||||||
\(194\) | −1.28127e7 | + | 6.17293e7i | −0.125990 | + | 0.606995i | ||||
\(195\) | 3.67755e7 | + | 1.48577e7i | 0.355171 | + | 0.143493i | ||||
\(196\) | −3.00584e6 | − | 1.30398e6i | −0.0285147 | − | 0.0123701i | ||||
\(197\) | 4.80833e7i | 0.448088i | 0.974579 | + | 0.224044i | \(0.0719259\pi\) | ||||
−0.974579 | + | 0.224044i | \(0.928074\pi\) | |||||||
\(198\) | −1.57313e8 | + | 1.07213e8i | −1.44025 | + | 0.981567i | ||||
\(199\) | − | 1.49813e8i | − | 1.34761i | −0.738911 | − | 0.673803i | \(-0.764659\pi\) | ||
0.738911 | − | 0.673803i | \(-0.235341\pi\) | |||||||
\(200\) | −4.59274e7 | + | 6.51594e7i | −0.405945 | + | 0.575933i | ||||
\(201\) | −1.08647e8 | − | 4.38946e7i | −0.943694 | − | 0.381263i | ||||
\(202\) | 9.64875e7 | + | 2.00272e7i | 0.823647 | + | 0.170959i | ||||
\(203\) | 1.82798e8 | 1.53368 | ||||||||
\(204\) | −1.31850e7 | − | 1.33944e7i | −0.108736 | − | 0.110463i | ||||
\(205\) | −4.90332e7 | −0.397514 | ||||||||
\(206\) | 1.10685e8 | + | 2.29741e7i | 0.882173 | + | 0.183107i | ||||
\(207\) | 7.53387e7 | + | 7.27500e7i | 0.590366 | + | 0.570082i | ||||
\(208\) | 6.24977e7 | + | 6.67957e7i | 0.481551 | + | 0.514668i | ||||
\(209\) | − | 1.32099e8i | − | 1.00089i | ||||||
\(210\) | −5.97135e7 | − | 3.98620e7i | −0.444944 | − | 0.297024i | ||||
\(211\) | 1.44351e8i | 1.05787i | 0.848663 | + | 0.528934i | \(0.177408\pi\) | ||||
−0.848663 | + | 0.528934i | \(0.822592\pi\) | |||||||
\(212\) | −2.58091e6 | + | 5.94931e6i | −0.0186036 | + | 0.0428836i | ||||
\(213\) | 2.94432e6 | − | 7.28771e6i | 0.0208764 | − | 0.0516729i | ||||
\(214\) | −3.22189e7 | + | 1.55225e8i | −0.224731 | + | 1.08271i | ||||
\(215\) | 6.35472e7 | 0.436076 | ||||||||
\(216\) | 2.87069e7 | − | 1.45303e8i | 0.193820 | − | 0.981037i | ||||
\(217\) | 1.15140e8 | 0.764923 | ||||||||
\(218\) | −1.85161e7 | + | 8.92072e7i | −0.121047 | + | 0.583179i | ||||
\(219\) | −5.98813e6 | + | 1.48217e7i | −0.0385245 | + | 0.0953549i | ||||
\(220\) | 5.95401e7 | − | 1.37247e8i | 0.376990 | − | 0.869010i | ||||
\(221\) | 1.75303e7i | 0.109249i | ||||||||
\(222\) | 1.42719e8 | + | 9.52724e7i | 0.875478 | + | 0.584429i | ||||
\(223\) | − | 1.12778e8i | − | 0.681014i | −0.940242 | − | 0.340507i | \(-0.889401\pi\) | ||
0.940242 | − | 0.340507i | \(-0.110599\pi\) | |||||||
\(224\) | −8.61957e7 | − | 1.41377e8i | −0.512410 | − | 0.840449i | ||||
\(225\) | −8.66042e7 | − | 8.36285e7i | −0.506874 | − | 0.489458i | ||||
\(226\) | 2.75370e7 | + | 5.71565e6i | 0.158685 | + | 0.0329372i | ||||
\(227\) | −1.17206e8 | −0.665060 | −0.332530 | − | 0.943093i | \(-0.607902\pi\) | ||||
−0.332530 | + | 0.943093i | \(0.607902\pi\) | |||||||
\(228\) | 7.20971e7 | + | 7.32417e7i | 0.402852 | + | 0.409248i | ||||
\(229\) | −9.20182e7 | −0.506348 | −0.253174 | − | 0.967421i | \(-0.581475\pi\) | ||||
−0.253174 | + | 0.967421i | \(0.581475\pi\) | |||||||
\(230\) | −8.05852e7 | − | 1.67265e7i | −0.436725 | − | 0.0906479i | ||||
\(231\) | −2.98011e8 | − | 1.20400e8i | −1.59071 | − | 0.642664i | ||||
\(232\) | −2.42224e8 | − | 1.70731e8i | −1.27353 | − | 0.897644i | ||||
\(233\) | 3.10484e8i | 1.60803i | 0.594611 | + | 0.804014i | \(0.297306\pi\) | ||||
−0.594611 | + | 0.804014i | \(0.702694\pi\) | |||||||
\(234\) | −1.14155e8 | + | 7.77994e7i | −0.582423 | + | 0.396936i | ||||
\(235\) | 9.94113e7i | 0.499687i | ||||||||
\(236\) | 2.27585e8 | + | 9.87301e7i | 1.12707 | + | 0.488942i | ||||
\(237\) | 1.38358e8 | + | 5.58983e7i | 0.675127 | + | 0.272759i | ||||
\(238\) | 6.44898e6 | − | 3.10700e7i | 0.0310079 | − | 0.149390i | ||||
\(239\) | −2.17330e8 | −1.02974 | −0.514870 | − | 0.857268i | \(-0.672160\pi\) | ||||
−0.514870 | + | 0.857268i | \(0.672160\pi\) | |||||||
\(240\) | 4.18953e7 | + | 1.08592e8i | 0.195626 | + | 0.507060i | ||||
\(241\) | 8.72196e7 | 0.401379 | 0.200689 | − | 0.979655i | \(-0.435682\pi\) | ||||
0.200689 | + | 0.979655i | \(0.435682\pi\) | |||||||
\(242\) | 9.13068e7 | − | 4.39899e8i | 0.414142 | − | 1.99526i | ||||
\(243\) | 2.10193e8 | + | 7.64889e7i | 0.939714 | + | 0.341961i | ||||
\(244\) | −1.61322e8 | − | 6.99842e7i | −0.710935 | − | 0.308415i | ||||
\(245\) | 3.88852e6i | 0.0168929i | ||||||||
\(246\) | 9.48185e7 | − | 1.42039e8i | 0.406088 | − | 0.608322i | ||||
\(247\) | − | 9.58577e7i | − | 0.404751i | ||||||
\(248\) | −1.52571e8 | − | 1.07539e8i | −0.635172 | − | 0.447699i | ||||
\(249\) | 3.95737e7 | − | 9.79520e7i | 0.162446 | − | 0.402083i | ||||
\(250\) | 2.24103e8 | + | 4.65156e7i | 0.907107 | + | 0.188282i | ||||
\(251\) | −1.45283e8 | −0.579906 | −0.289953 | − | 0.957041i | \(-0.593640\pi\) | ||||
−0.289953 | + | 0.957041i | \(0.593640\pi\) | |||||||
\(252\) | 2.30943e8 | − | 9.58935e7i | 0.909082 | − | 0.377474i | ||||
\(253\) | −3.68449e8 | −1.43039 | ||||||||
\(254\) | 1.48291e8 | + | 3.07798e7i | 0.567803 | + | 0.117855i | ||||
\(255\) | −8.35565e6 | + | 2.06817e7i | −0.0315566 | + | 0.0781081i | ||||
\(256\) | −1.78271e7 | + | 2.67843e8i | −0.0664110 | + | 0.997792i | ||||
\(257\) | − | 1.34994e8i | − | 0.496077i | −0.968750 | − | 0.248039i | \(-0.920214\pi\) | ||
0.968750 | − | 0.248039i | \(-0.0797860\pi\) | |||||||
\(258\) | −1.22885e8 | + | 1.84082e8i | −0.445482 | + | 0.667334i | ||||
\(259\) | 2.89712e8i | 1.03614i | ||||||||
\(260\) | 4.32054e7 | − | 9.95938e7i | 0.152451 | − | 0.351419i | ||||
\(261\) | 3.10881e8 | − | 3.21943e8i | 1.08231 | − | 1.12082i | ||||
\(262\) | 2.49250e7 | − | 1.20084e8i | 0.0856210 | − | 0.412506i | ||||
\(263\) | 2.87053e8 | 0.973008 | 0.486504 | − | 0.873678i | \(-0.338272\pi\) | ||||
0.486504 | + | 0.873678i | \(0.338272\pi\) | |||||||
\(264\) | 2.82440e8 | + | 4.37878e8i | 0.944739 | + | 1.46467i | ||||
\(265\) | 7.69637e6 | 0.0254054 | ||||||||
\(266\) | −3.52637e7 | + | 1.69894e8i | −0.114879 | + | 0.553468i | ||||
\(267\) | −2.02318e8 | − | 8.17390e7i | −0.650498 | − | 0.262809i | ||||
\(268\) | −1.27643e8 | + | 2.94233e8i | −0.405065 | + | 0.933725i | ||||
\(269\) | 5.19096e8i | 1.62598i | 0.582278 | + | 0.812990i | \(0.302162\pi\) | ||||
−0.582278 | + | 0.812990i | \(0.697838\pi\) | |||||||
\(270\) | −1.71758e8 | + | 3.73745e7i | −0.531061 | + | 0.115559i | ||||
\(271\) | 2.39573e8i | 0.731214i | 0.930769 | + | 0.365607i | \(0.119139\pi\) | ||||
−0.930769 | + | 0.365607i | \(0.880861\pi\) | |||||||
\(272\) | −3.75644e7 | + | 3.51473e7i | −0.113184 | + | 0.105901i | ||||
\(273\) | −2.16252e8 | − | 8.73684e7i | −0.643267 | − | 0.259887i | ||||
\(274\) | −5.81613e7 | − | 1.20721e7i | −0.170807 | − | 0.0354533i | ||||
\(275\) | 4.23544e8 | 1.22810 | ||||||||
\(276\) | 2.04285e8 | − | 2.01093e8i | 0.584865 | − | 0.575724i | ||||
\(277\) | 1.04590e8 | 0.295672 | 0.147836 | − | 0.989012i | \(-0.452769\pi\) | ||||
0.147836 | + | 0.989012i | \(0.452769\pi\) | |||||||
\(278\) | −5.93436e8 | − | 1.23175e8i | −1.65660 | − | 0.343849i | ||||
\(279\) | 1.95816e8 | − | 2.02784e8i | 0.539802 | − | 0.559009i | ||||
\(280\) | −1.13213e8 | + | 1.60621e8i | −0.308209 | + | 0.437271i | ||||
\(281\) | 6.58421e7i | 0.177024i | 0.996075 | + | 0.0885119i | \(0.0282111\pi\) | ||||
−0.996075 | + | 0.0885119i | \(0.971789\pi\) | |||||||
\(282\) | −2.87973e8 | − | 1.92238e8i | −0.764680 | − | 0.510466i | ||||
\(283\) | − | 6.76985e8i | − | 1.77552i | −0.460303 | − | 0.887762i | \(-0.652259\pi\) | ||
0.460303 | − | 0.887762i | \(-0.347741\pi\) | |||||||
\(284\) | −1.97363e7 | − | 8.56190e6i | −0.0511270 | − | 0.0221797i | ||||
\(285\) | 4.56896e7 | − | 1.13090e8i | 0.116912 | − | 0.289378i | ||||
\(286\) | 9.87712e7 | − | 4.75861e8i | 0.249660 | − | 1.20282i | ||||
\(287\) | 2.88332e8 | 0.719955 | ||||||||
\(288\) | −3.95584e8 | − | 8.86299e7i | −0.975808 | − | 0.218628i | ||||
\(289\) | 4.00480e8 | 0.975974 | ||||||||
\(290\) | −7.14770e7 | + | 3.44363e8i | −0.172097 | + | 0.829131i | ||||
\(291\) | −9.76184e7 | + | 2.41623e8i | −0.232224 | + | 0.574794i | ||||
\(292\) | 4.01394e7 | + | 1.74131e7i | 0.0943476 | + | 0.0409295i | ||||
\(293\) | − | 5.13491e8i | − | 1.19260i | −0.802760 | − | 0.596302i | \(-0.796636\pi\) | ||
0.802760 | − | 0.596302i | \(-0.203364\pi\) | |||||||
\(294\) | −1.12642e7 | − | 7.51947e6i | −0.0258515 | − | 0.0172573i | ||||
\(295\) | − | 2.94417e8i | − | 0.667708i | ||||||
\(296\) | 2.70586e8 | − | 3.83894e8i | 0.606436 | − | 0.860380i | ||||
\(297\) | −7.18868e8 | + | 3.20093e8i | −1.59221 | + | 0.708972i | ||||
\(298\) | 2.01300e8 | + | 4.17825e7i | 0.440643 | + | 0.0914613i | ||||
\(299\) | −2.67366e8 | −0.578438 | ||||||||
\(300\) | −2.34833e8 | + | 2.31162e8i | −0.502151 | + | 0.494303i | ||||
\(301\) | −3.73678e8 | −0.789797 | ||||||||
\(302\) | 2.90853e8 | + | 6.03703e7i | 0.607643 | + | 0.126124i | ||||
\(303\) | 3.77675e8 | + | 1.52585e8i | 0.779954 | + | 0.315110i | ||||
\(304\) | 2.05406e8 | − | 1.92189e8i | 0.419329 | − | 0.392348i | ||||
\(305\) | 2.08696e8i | 0.421176i | ||||||||
\(306\) | −4.37526e7 | − | 6.41980e7i | −0.0872929 | − | 0.128084i | ||||
\(307\) | − | 1.35757e8i | − | 0.267779i | −0.990996 | − | 0.133890i | \(-0.957253\pi\) | ||
0.990996 | − | 0.133890i | \(-0.0427468\pi\) | |||||||
\(308\) | −3.50115e8 | + | 8.07059e8i | −0.682784 | + | 1.57390i | ||||
\(309\) | 4.33247e8 | + | 1.75037e8i | 0.835375 | + | 0.337501i | ||||
\(310\) | −4.50216e7 | + | 2.16906e8i | −0.0858332 | + | 0.413528i | ||||
\(311\) | −1.00476e9 | −1.89408 | −0.947042 | − | 0.321109i | \(-0.895944\pi\) | ||||
−0.947042 | + | 0.321109i | \(0.895944\pi\) | |||||||
\(312\) | 2.04953e8 | + | 3.17747e8i | 0.382043 | + | 0.592298i | ||||
\(313\) | 2.92615e8 | 0.539376 | 0.269688 | − | 0.962948i | \(-0.413079\pi\) | ||||
0.269688 | + | 0.962948i | \(0.413079\pi\) | |||||||
\(314\) | 8.91066e7 | − | 4.29299e8i | 0.162426 | − | 0.782539i | ||||
\(315\) | −2.13484e8 | − | 2.06149e8i | −0.384838 | − | 0.371615i | ||||
\(316\) | 1.62549e8 | − | 3.74695e8i | 0.289787 | − | 0.667995i | ||||
\(317\) | − | 7.38044e8i | − | 1.30129i | −0.759381 | − | 0.650646i | \(-0.774498\pi\) | ||
0.759381 | − | 0.650646i | \(-0.225502\pi\) | |||||||
\(318\) | −1.48829e7 | + | 2.22947e7i | −0.0259534 | + | 0.0388783i | ||||
\(319\) | 1.57449e9i | 2.71563i | ||||||||
\(320\) | 3.00036e8 | − | 1.07098e8i | 0.511857 | − | 0.182708i | ||||
\(321\) | −2.45471e8 | + | 6.07585e8i | −0.414222 | + | 1.02527i | ||||
\(322\) | 4.73867e8 | + | 9.83573e7i | 0.790972 | + | 0.164177i | ||||
\(323\) | 5.39082e7 | 0.0890114 | ||||||||
\(324\) | 2.23873e8 | − | 5.69819e8i | 0.365674 | − | 0.930743i | ||||
\(325\) | 3.07345e8 | 0.496632 | ||||||||
\(326\) | 8.54310e8 | + | 1.77323e8i | 1.36570 | + | 0.283468i | ||||
\(327\) | −1.41072e8 | + | 3.49178e8i | −0.223112 | + | 0.552242i | ||||
\(328\) | −3.82065e8 | − | 2.69297e8i | −0.597832 | − | 0.421379i | ||||
\(329\) | − | 5.84571e8i | − | 0.905007i | ||||||
\(330\) | 3.43341e8 | − | 5.14327e8i | 0.525929 | − | 0.787844i | ||||
\(331\) | − | 5.26161e8i | − | 0.797481i | −0.917064 | − | 0.398740i | \(-0.869447\pi\) | ||
0.917064 | − | 0.398740i | \(-0.130553\pi\) | |||||||
\(332\) | −2.65269e8 | − | 1.15078e8i | −0.397835 | − | 0.172587i | ||||
\(333\) | 5.10238e8 | + | 4.92707e8i | 0.757213 | + | 0.731196i | ||||
\(334\) | −1.76404e8 | + | 8.49883e8i | −0.259058 | + | 1.24809i | ||||
\(335\) | 3.80636e8 | 0.553163 | ||||||||
\(336\) | −2.46358e8 | − | 6.38558e8i | −0.354306 | − | 0.918360i | ||||
\(337\) | 1.39316e8 | 0.198288 | 0.0991442 | − | 0.995073i | \(-0.468389\pi\) | ||||
0.0991442 | + | 0.995073i | \(0.468389\pi\) | |||||||
\(338\) | −7.26042e7 | + | 3.49794e8i | −0.102271 | + | 0.492724i | ||||
\(339\) | 1.07786e8 | + | 4.35468e7i | 0.150267 | + | 0.0607096i | ||||
\(340\) | 5.60093e7 | + | 2.42977e7i | 0.0772829 | + | 0.0335266i | ||||
\(341\) | 9.91730e8i | 1.35442i | ||||||||
\(342\) | 2.39244e8 | + | 3.51041e8i | 0.323407 | + | 0.474533i | ||||
\(343\) | − | 7.58519e8i | − | 1.01493i | ||||||
\(344\) | 4.95157e8 | + | 3.49010e8i | 0.655826 | + | 0.462257i | ||||
\(345\) | −3.15429e8 | − | 1.27437e8i | −0.413557 | − | 0.167082i | ||||
\(346\) | −1.45573e9 | − | 3.02156e8i | −1.88936 | − | 0.392162i | ||||
\(347\) | −7.36166e8 | −0.945851 | −0.472925 | − | 0.881102i | \(-0.656802\pi\) | ||||
−0.472925 | + | 0.881102i | \(0.656802\pi\) | |||||||
\(348\) | −8.59325e8 | − | 8.72969e8i | −1.09303 | − | 1.11038i | ||||
\(349\) | −1.08415e9 | −1.36521 | −0.682604 | − | 0.730788i | \(-0.739153\pi\) | ||||
−0.682604 | + | 0.730788i | \(0.739153\pi\) | |||||||
\(350\) | −5.44725e8 | − | 1.13065e8i | −0.679109 | − | 0.140958i | ||||
\(351\) | −5.21648e8 | + | 2.32276e8i | −0.643876 | + | 0.286701i | ||||
\(352\) | 1.21772e9 | − | 7.42424e8i | 1.48815 | − | 0.907304i | ||||
\(353\) | − | 1.04425e9i | − | 1.26356i | −0.775150 | − | 0.631778i | \(-0.782326\pi\) | ||
0.775150 | − | 0.631778i | \(-0.217674\pi\) | |||||||
\(354\) | 8.52863e8 | + | 5.69332e8i | 1.02180 | + | 0.682110i | ||||
\(355\) | 2.55319e7i | 0.0302890i | ||||||||
\(356\) | −2.37692e8 | + | 5.47910e8i | −0.279215 | + | 0.643627i | ||||
\(357\) | 4.91340e7 | − | 1.21615e8i | 0.0571535 | − | 0.141465i | ||||
\(358\) | 2.85579e6 | − | 1.37587e7i | 0.00328955 | − | 0.0158484i | ||||
\(359\) | 8.69582e8 | 0.991928 | 0.495964 | − | 0.868343i | \(-0.334815\pi\) | ||||
0.495964 | + | 0.868343i | \(0.334815\pi\) | |||||||
\(360\) | 9.03457e7 | + | 4.72556e8i | 0.102058 | + | 0.533820i | ||||
\(361\) | 5.99096e8 | 0.670226 | ||||||||
\(362\) | −2.06870e8 | + | 9.96659e8i | −0.229201 | + | 1.10425i | ||||
\(363\) | 6.95655e8 | − | 1.72187e9i | 0.763345 | − | 1.88941i | ||||
\(364\) | −2.54062e8 | + | 5.85644e8i | −0.276112 | + | 0.636472i | ||||
\(365\) | − | 5.19266e7i | − | 0.0558940i | ||||||
\(366\) | −6.04546e8 | − | 4.03567e8i | −0.644534 | − | 0.430261i | ||||
\(367\) | 7.56352e8i | 0.798716i | 0.916795 | + | 0.399358i | \(0.130767\pi\) | ||||
−0.916795 | + | 0.399358i | \(0.869233\pi\) | |||||||
\(368\) | −5.36052e8 | − | 5.72917e8i | −0.560712 | − | 0.599273i | ||||
\(369\) | 4.90359e8 | − | 5.07807e8i | 0.508068 | − | 0.526147i | ||||
\(370\) | −5.45771e8 | − | 1.13282e8i | −0.560150 | − | 0.116266i | ||||
\(371\) | −4.52572e7 | −0.0460128 | ||||||||
\(372\) | −5.41268e8 | − | 5.49861e8i | −0.545145 | − | 0.553800i | ||||
\(373\) | −1.86017e9 | −1.85597 | −0.927985 | − | 0.372617i | \(-0.878461\pi\) | ||||
−0.927985 | + | 0.372617i | \(0.878461\pi\) | |||||||
\(374\) | 2.67613e8 | + | 5.55466e7i | 0.264519 | + | 0.0549044i | ||||
\(375\) | 8.77193e8 | + | 3.54396e8i | 0.858986 | + | 0.347040i | ||||
\(376\) | −5.45980e8 | + | 7.74609e8i | −0.529687 | + | 0.751494i | ||||
\(377\) | 1.14253e9i | 1.09818i | ||||||||
\(378\) | 1.00999e9 | − | 2.19775e8i | 0.961828 | − | 0.209294i | ||||
\(379\) | − | 5.20287e8i | − | 0.490914i | −0.969407 | − | 0.245457i | \(-0.921062\pi\) | ||
0.969407 | − | 0.245457i | \(-0.0789380\pi\) | |||||||
\(380\) | −3.06264e8 | − | 1.32862e8i | −0.286322 | − | 0.124211i | ||||
\(381\) | 5.80447e8 | + | 2.34507e8i | 0.537681 | + | 0.217229i | ||||
\(382\) | −1.04819e8 | + | 5.04998e8i | −0.0962094 | + | 0.463519i | ||||
\(383\) | 1.94374e9 | 1.76784 | 0.883920 | − | 0.467638i | \(-0.154895\pi\) | ||||
0.883920 | + | 0.467638i | \(0.154895\pi\) | |||||||
\(384\) | −2.69957e8 | + | 1.07624e9i | −0.243296 | + | 0.969952i | ||||
\(385\) | 1.04406e9 | 0.932421 | ||||||||
\(386\) | 3.68737e8 | − | 1.77650e9i | 0.326333 | − | 1.57221i | ||||
\(387\) | −6.35507e8 | + | 6.58120e8i | −0.557355 | + | 0.577187i | ||||
\(388\) | 6.54352e8 | + | 2.83868e8i | 0.568722 | + | 0.246721i | ||||
\(389\) | − | 8.69533e8i | − | 0.748967i | −0.927234 | − | 0.374483i | \(-0.877820\pi\) | ||
0.927234 | − | 0.374483i | \(-0.122180\pi\) | |||||||
\(390\) | 2.49146e8 | − | 3.73222e8i | 0.212681 | − | 0.318597i | ||||
\(391\) | − | 1.50360e8i | − | 0.127208i | ||||||
\(392\) | −2.13563e7 | + | 3.02992e7i | −0.0179071 | + | 0.0254057i | ||||
\(393\) | 1.89900e8 | − | 4.70036e8i | 0.157816 | − | 0.390623i | ||||
\(394\) | 5.32648e8 | + | 1.10558e8i | 0.438736 | + | 0.0910654i | ||||
\(395\) | −4.84727e8 | −0.395738 | ||||||||
\(396\) | 8.25954e8 | + | 1.98917e9i | 0.668379 | + | 1.60968i | ||||
\(397\) | 1.13274e9 | 0.908581 | 0.454290 | − | 0.890854i | \(-0.349893\pi\) | ||||
0.454290 | + | 0.890854i | \(0.349893\pi\) | |||||||
\(398\) | −1.65957e9 | − | 3.44465e8i | −1.31948 | − | 0.273876i | ||||
\(399\) | −2.68670e8 | + | 6.65005e8i | −0.211745 | + | 0.524107i | ||||
\(400\) | 6.16209e8 | + | 6.58586e8i | 0.481413 | + | 0.514521i | ||||
\(401\) | 5.49064e8i | 0.425224i | 0.977137 | + | 0.212612i | \(0.0681970\pi\) | ||||
−0.977137 | + | 0.212612i | \(0.931803\pi\) | |||||||
\(402\) | −7.36059e8 | + | 1.10262e9i | −0.565095 | + | 0.846515i | ||||
\(403\) | 7.19651e8i | 0.547714i | ||||||||
\(404\) | 4.43708e8 | − | 1.02280e9i | 0.334782 | − | 0.771714i | ||||
\(405\) | −7.26135e8 | + | 2.53938e7i | −0.543156 | + | 0.0189948i | ||||
\(406\) | 4.20308e8 | − | 2.02497e9i | 0.311693 | − | 1.50168i | ||||
\(407\) | −2.49536e9 | −1.83465 | ||||||||
\(408\) | −1.78694e8 | + | 1.15261e8i | −0.130256 | + | 0.0840177i | ||||
\(409\) | −5.47741e8 | −0.395862 | −0.197931 | − | 0.980216i | \(-0.563422\pi\) | ||||
−0.197931 | + | 0.980216i | \(0.563422\pi\) | |||||||
\(410\) | −1.12742e8 | + | 5.43171e8i | −0.0807872 | + | 0.389218i | ||||
\(411\) | −2.27657e8 | − | 9.19760e7i | −0.161746 | − | 0.0653473i | ||||
\(412\) | 5.08997e8 | − | 1.17330e9i | 0.358571 | − | 0.826550i | ||||
\(413\) | 1.73127e9i | 1.20932i | ||||||||
\(414\) | 9.79122e8 | − | 6.67297e8i | 0.678165 | − | 0.462188i | ||||
\(415\) | 3.43167e8i | 0.235688i | ||||||||
\(416\) | 8.83637e8 | − | 5.38741e8i | 0.601793 | − | 0.366905i | ||||
\(417\) | −2.32285e9 | − | 9.38458e8i | −1.56872 | − | 0.633780i | ||||
\(418\) | −1.46334e9 | − | 3.03735e8i | −0.980003 | − | 0.203412i | ||||
\(419\) | 3.16638e8 | 0.210288 | 0.105144 | − | 0.994457i | \(-0.466470\pi\) | ||||
0.105144 | + | 0.994457i | \(0.466470\pi\) | |||||||
\(420\) | −5.78875e8 | + | 5.69828e8i | −0.381252 | + | 0.375293i | ||||
\(421\) | 8.55366e8 | 0.558682 | 0.279341 | − | 0.960192i | \(-0.409884\pi\) | ||||
0.279341 | + | 0.960192i | \(0.409884\pi\) | |||||||
\(422\) | 1.59906e9 | + | 3.31906e8i | 1.03579 | + | 0.214992i | ||||
\(423\) | −1.02954e9 | − | 9.94168e8i | −0.661383 | − | 0.638658i | ||||
\(424\) | 5.99698e7 | + | 4.22695e7i | 0.0382078 | + | 0.0269306i | ||||
\(425\) | 1.72844e8i | 0.109218i | ||||||||
\(426\) | −7.39605e7 | − | 4.93727e7i | −0.0463518 | − | 0.0309423i | ||||
\(427\) | − | 1.22720e9i | − | 0.762812i | ||||||
\(428\) | 1.64543e9 | + | 7.13816e8i | 1.01444 | + | 0.440081i | ||||
\(429\) | 7.52525e8 | − | 1.86263e9i | 0.460172 | − | 1.13901i | ||||
\(430\) | 1.46114e8 | − | 7.03950e8i | 0.0886242 | − | 0.426975i | ||||
\(431\) | −8.62621e8 | −0.518979 | −0.259489 | − | 0.965746i | \(-0.583554\pi\) | ||||
−0.259489 | + | 0.965746i | \(0.583554\pi\) | |||||||
\(432\) | −1.54360e9 | − | 6.52098e8i | −0.921173 | − | 0.389152i | ||||
\(433\) | −5.88264e7 | −0.0348229 | −0.0174114 | − | 0.999848i | \(-0.505543\pi\) | ||||
−0.0174114 | + | 0.999848i | \(0.505543\pi\) | |||||||
\(434\) | 2.64742e8 | − | 1.27548e9i | 0.155456 | − | 0.748960i | ||||
\(435\) | −5.44574e8 | + | 1.34792e9i | −0.317208 | + | 0.785147i | ||||
\(436\) | 9.45628e8 | + | 4.10228e8i | 0.546408 | + | 0.237041i | ||||
\(437\) | 8.22186e8i | 0.471287i | ||||||||
\(438\) | 1.50420e8 | + | 1.00414e8i | 0.0855355 | + | 0.0570996i | ||||
\(439\) | − | 1.74683e9i | − | 0.985425i | −0.870192 | − | 0.492713i | \(-0.836005\pi\) | ||
0.870192 | − | 0.492713i | \(-0.163995\pi\) | |||||||
\(440\) | −1.38347e9 | − | 9.75134e8i | −0.774258 | − | 0.545733i | ||||
\(441\) | −4.02711e7 | − | 3.88874e7i | −0.0223593 | − | 0.0215910i | ||||
\(442\) | 1.94194e8 | + | 4.03075e7i | 0.106969 | + | 0.0222028i | ||||
\(443\) | 9.63038e8 | 0.526297 | 0.263148 | − | 0.964755i | \(-0.415239\pi\) | ||||
0.263148 | + | 0.964755i | \(0.415239\pi\) | |||||||
\(444\) | 1.38354e9 | − | 1.36192e9i | 0.750157 | − | 0.738433i | ||||
\(445\) | 7.08807e8 | 0.381301 | ||||||||
\(446\) | −1.24931e9 | − | 2.59310e8i | −0.666802 | − | 0.138403i | ||||
\(447\) | 7.87936e8 | + | 3.18335e8i | 0.417268 | + | 0.168581i | ||||
\(448\) | −1.76431e9 | + | 6.29773e8i | −0.927047 | + | 0.330911i | ||||
\(449\) | 3.18511e9i | 1.66059i | 0.557326 | + | 0.830294i | \(0.311827\pi\) | ||||
−0.557326 | + | 0.830294i | \(0.688173\pi\) | |||||||
\(450\) | −1.12553e9 | + | 7.67080e8i | −0.582256 | + | 0.396823i | ||||
\(451\) | 2.48347e9i | 1.27480i | ||||||||
\(452\) | 1.26631e8 | − | 2.91901e8i | 0.0644996 | − | 0.148680i | ||||
\(453\) | 1.13847e9 | + | 4.59953e8i | 0.575408 | + | 0.232472i | ||||
\(454\) | −2.69493e8 | + | 1.29837e9i | −0.135161 | + | 0.651181i | ||||
\(455\) | 7.57623e8 | 0.377062 | ||||||||
\(456\) | 9.77115e8 | − | 6.30258e8i | 0.482580 | − | 0.311273i | ||||
\(457\) | 7.00152e8 | 0.343151 | 0.171576 | − | 0.985171i | \(-0.445114\pi\) | ||||
0.171576 | + | 0.985171i | \(0.445114\pi\) | |||||||
\(458\) | −2.11577e8 | + | 1.01934e9i | −0.102906 | + | 0.495781i | ||||
\(459\) | −1.30627e8 | − | 2.93363e8i | −0.0630504 | − | 0.141599i | ||||
\(460\) | −3.70579e8 | + | 8.54231e8i | −0.177512 | + | 0.409188i | ||||
\(461\) | − | 3.65644e9i | − | 1.73822i | −0.494618 | − | 0.869110i | \(-0.664692\pi\) | ||
0.494618 | − | 0.869110i | \(-0.335308\pi\) | |||||||
\(462\) | −2.01896e9 | + | 3.02441e9i | −0.952534 | + | 1.42690i | ||||
\(463\) | 1.45892e9i | 0.683119i | 0.939860 | + | 0.341560i | \(0.110955\pi\) | ||||
−0.939860 | + | 0.341560i | \(0.889045\pi\) | |||||||
\(464\) | −2.44823e9 | + | 2.29070e9i | −1.13773 | + | 1.06452i | ||||
\(465\) | −3.43014e8 | + | 8.49020e8i | −0.158207 | + | 0.391591i | ||||
\(466\) | 3.43942e9 | + | 7.13896e8i | 1.57447 | + | 0.326802i | ||||
\(467\) | 3.37921e9 | 1.53534 | 0.767672 | − | 0.640843i | \(-0.221415\pi\) | ||||
0.767672 | + | 0.640843i | \(0.221415\pi\) | |||||||
\(468\) | 5.99355e8 | + | 1.44344e9i | 0.270286 | + | 0.650938i | ||||
\(469\) | −2.23827e9 | −1.00186 | ||||||||
\(470\) | 1.10124e9 | + | 2.28577e8i | 0.489259 | + | 0.101552i | ||||
\(471\) | 6.78892e8 | − | 1.68038e9i | 0.299383 | − | 0.741026i | ||||
\(472\) | 1.61698e9 | − | 2.29409e9i | 0.707795 | − | 1.00418i | ||||
\(473\) | − | 3.21858e9i | − | 1.39846i | ||||||
\(474\) | 9.37346e8 | − | 1.40415e9i | 0.404274 | − | 0.605605i | ||||
\(475\) | − | 9.45129e8i | − | 0.404635i | ||||||
\(476\) | −3.29353e8 | − | 1.42879e8i | −0.139971 | − | 0.0607215i | ||||
\(477\) | −7.69679e7 | + | 7.97066e7i | −0.0324710 | + | 0.0336264i | ||||
\(478\) | −4.99708e8 | + | 2.40750e9i | −0.209276 | + | 1.00825i | ||||
\(479\) | −9.51642e7 | −0.0395639 | −0.0197820 | − | 0.999804i | \(-0.506297\pi\) | ||||
−0.0197820 | + | 0.999804i | \(0.506297\pi\) | |||||||
\(480\) | 1.29927e9 | − | 2.14413e8i | 0.536235 | − | 0.0884924i | ||||
\(481\) | −1.81076e9 | −0.741914 | ||||||||
\(482\) | 2.00544e8 | − | 9.66184e8i | 0.0815728 | − | 0.393003i | ||||
\(483\) | 1.85483e9 | + | 7.49372e8i | 0.749012 | + | 0.302609i | ||||
\(484\) | −4.66309e9 | − | 2.02292e9i | −1.86945 | − | 0.810999i | ||||
\(485\) | − | 8.46507e8i | − | 0.336926i | ||||||
\(486\) | 1.33061e9 | − | 2.15256e9i | 0.525804 | − | 0.850606i | ||||
\(487\) | − | 3.29873e9i | − | 1.29418i | −0.762412 | − | 0.647092i | \(-0.775985\pi\) | ||
0.762412 | − | 0.647092i | \(-0.224015\pi\) | |||||||
\(488\) | −1.14618e9 | + | 1.62615e9i | −0.446463 | + | 0.633419i | ||||
\(489\) | 3.34397e9 | + | 1.35100e9i | 1.29325 | + | 0.522486i | ||||
\(490\) | 4.30755e7 | + | 8.94089e6i | 0.0165403 | + | 0.00343316i | ||||
\(491\) | −2.42468e9 | −0.924419 | −0.462210 | − | 0.886771i | \(-0.652943\pi\) | ||||
−0.462210 | + | 0.886771i | \(0.652943\pi\) | |||||||
\(492\) | −1.35543e9 | − | 1.37695e9i | −0.513097 | − | 0.521244i | ||||
\(493\) | −6.42532e8 | −0.241507 | ||||||||
\(494\) | −1.06187e9 | − | 2.20406e8i | −0.396304 | − | 0.0822581i | ||||
\(495\) | 1.77561e9 | − | 1.83879e9i | 0.658004 | − | 0.681418i | ||||
\(496\) | −1.54208e9 | + | 1.44286e9i | −0.567442 | + | 0.530930i | ||||
\(497\) | − | 1.50136e8i | − | 0.0548578i | ||||||
\(498\) | −9.94081e8 | − | 6.63603e8i | −0.360677 | − | 0.240772i | ||||
\(499\) | 1.79712e9i | 0.647478i | 0.946146 | + | 0.323739i | \(0.104940\pi\) | ||||
−0.946146 | + | 0.323739i | \(0.895060\pi\) | |||||||
\(500\) | 1.03056e9 | − | 2.37557e9i | 0.368705 | − | 0.849911i | ||||
\(501\) | −1.34400e9 | + | 3.32664e9i | −0.477494 | + | 1.18188i | ||||
\(502\) | −3.34050e8 | + | 1.60939e9i | −0.117855 | + | 0.567804i | ||||
\(503\) | −2.04951e9 | −0.718063 | −0.359032 | − | 0.933325i | \(-0.616893\pi\) | ||||
−0.359032 | + | 0.933325i | \(0.616893\pi\) | |||||||
\(504\) | −5.31262e8 | − | 2.77878e9i | −0.184843 | − | 0.966825i | ||||
\(505\) | −1.32315e9 | −0.457184 | ||||||||
\(506\) | −8.47175e8 | + | 4.08153e9i | −0.290701 | + | 1.40054i | ||||
\(507\) | −5.53162e8 | + | 1.36917e9i | −0.188506 | + | 0.466585i | ||||
\(508\) | 6.81932e8 | − | 1.57194e9i | 0.230791 | − | 0.532001i | ||||
\(509\) | 2.00694e9i | 0.674562i | 0.941404 | + | 0.337281i | \(0.109507\pi\) | ||||
−0.941404 | + | 0.337281i | \(0.890493\pi\) | |||||||
\(510\) | 2.09892e8 | + | 1.40114e8i | 0.0700647 | + | 0.0467720i | ||||
\(511\) | 3.05345e8i | 0.101232i | ||||||||
\(512\) | 2.92607e9 | + | 8.13332e8i | 0.963472 | + | 0.267808i | ||||
\(513\) | 7.14281e8 | + | 1.60414e9i | 0.233592 | + | 0.524603i | ||||
\(514\) | −1.49541e9 | − | 3.10392e8i | −0.485725 | − | 0.100818i | ||||
\(515\) | −1.51785e9 | −0.489670 | ||||||||
\(516\) | 1.75664e9 | + | 1.78453e9i | 0.562872 | + | 0.571808i | ||||
\(517\) | 5.03505e9 | 1.60246 | ||||||||
\(518\) | 3.20931e9 | + | 6.66135e8i | 1.01451 | + | 0.210575i | ||||
\(519\) | −5.69808e9 | − | 2.30209e9i | −1.78913 | − | 0.722831i | ||||
\(520\) | −1.00392e9 | − | 7.07608e8i | −0.313103 | − | 0.220689i | ||||
\(521\) | − | 4.71335e9i | − | 1.46015i | −0.683367 | − | 0.730075i | \(-0.739485\pi\) | ||
0.683367 | − | 0.730075i | \(-0.260515\pi\) | |||||||
\(522\) | −2.85155e9 | − | 4.18406e9i | −0.877473 | − | 1.28751i | ||||
\(523\) | 2.80991e9i | 0.858889i | 0.903093 | + | 0.429444i | \(0.141291\pi\) | ||||
−0.903093 | + | 0.429444i | \(0.858709\pi\) | |||||||
\(524\) | −1.27293e9 | − | 5.52218e8i | −0.386496 | − | 0.167668i | ||||
\(525\) | −2.13218e9 | − | 8.61427e8i | −0.643083 | − | 0.259813i | ||||
\(526\) | 6.60021e8 | − | 3.17986e9i | 0.197746 | − | 0.952703i | ||||
\(527\) | −4.04715e8 | −0.120451 | ||||||||
\(528\) | 5.50005e9 | − | 2.12194e9i | 1.62610 | − | 0.627356i | ||||
\(529\) | −1.11159e9 | −0.326474 | ||||||||
\(530\) | 1.76963e7 | − | 8.52573e7i | 0.00516317 | − | 0.0248752i | ||||
\(531\) | 3.04910e9 | + | 2.94433e9i | 0.883773 | + | 0.853407i | ||||
\(532\) | 1.80094e9 | + | 7.81274e8i | 0.518570 | + | 0.224964i | ||||
\(533\) | 1.80213e9i | 0.515516i | ||||||||
\(534\) | −1.37066e9 | + | 2.05326e9i | −0.389526 | + | 0.583512i | ||||
\(535\) | − | 2.12863e9i | − | 0.600982i | ||||||
\(536\) | 2.96590e9 | + | 2.09051e9i | 0.831917 | + | 0.586374i | ||||
\(537\) | 2.17579e7 | − | 5.38547e7i | 0.00606328 | − | 0.0150077i | ||||
\(538\) | 5.75034e9 | + | 1.19356e9i | 1.59205 | + | 0.330450i | ||||
\(539\) | 1.96949e8 | 0.0541742 | ||||||||
\(540\) | 1.90967e7 | + | 1.98860e9i | 0.00521891 | + | 0.543463i | ||||
\(541\) | −3.86708e8 | −0.105001 | −0.0525004 | − | 0.998621i | \(-0.516719\pi\) | ||||
−0.0525004 | + | 0.998621i | \(0.516719\pi\) | |||||||
\(542\) | 2.65389e9 | + | 5.50849e8i | 0.715954 | + | 0.148606i | ||||
\(543\) | −1.57611e9 | + | 3.90116e9i | −0.422462 | + | 1.04567i | ||||
\(544\) | 3.02976e8 | + | 4.96937e8i | 0.0806885 | + | 0.132344i | ||||
\(545\) | − | 1.22332e9i | − | 0.323707i | ||||||
\(546\) | −1.46506e9 | + | 2.19467e9i | −0.385196 | + | 0.577025i | ||||
\(547\) | 3.91056e9i | 1.02161i | 0.859698 | + | 0.510803i | \(0.170652\pi\) | ||||
−0.859698 | + | 0.510803i | \(0.829348\pi\) | |||||||
\(548\) | −2.67460e8 | + | 6.16530e8i | −0.0694269 | + | 0.160038i | ||||
\(549\) | −2.16133e9 | − | 2.08707e9i | −0.557466 | − | 0.538312i | ||||
\(550\) | 9.73855e8 | − | 4.69185e9i | 0.249589 | − | 1.20247i | ||||
\(551\) | 3.51343e9 | 0.894748 | ||||||||
\(552\) | −1.75791e9 | − | 2.72536e9i | −0.444846 | − | 0.689665i | ||||
\(553\) | 2.85035e9 | 0.716739 | ||||||||
\(554\) | 2.40484e8 | − | 1.15861e9i | 0.0600899 | − | 0.289502i | ||||
\(555\) | −2.13628e9 | − | 8.63080e8i | −0.530434 | − | 0.214302i | ||||
\(556\) | −2.72898e9 | + | 6.29063e9i | −0.673346 | + | 1.55215i | ||||
\(557\) | − | 1.24857e8i | − | 0.0306141i | −0.999883 | − | 0.0153070i | \(-0.995127\pi\) | ||
0.999883 | − | 0.0153070i | \(-0.00487257\pi\) | |||||||
\(558\) | −1.79612e9 | − | 2.63544e9i | −0.437639 | − | 0.642145i | ||||
\(559\) | − | 2.33557e9i | − | 0.565525i | ||||||
\(560\) | 1.51899e9 | + | 1.62345e9i | 0.365508 | + | 0.390644i | ||||
\(561\) | 1.04750e9 | + | 4.23203e8i | 0.250487 | + | 0.101199i | ||||
\(562\) | 7.29373e8 | + | 1.51391e8i | 0.173329 | + | 0.0359768i | ||||
\(563\) | −2.98122e9 | −0.704068 | −0.352034 | − | 0.935987i | \(-0.614510\pi\) | ||||
−0.352034 | + | 0.935987i | \(0.614510\pi\) | |||||||
\(564\) | −2.79167e9 | + | 2.74804e9i | −0.655220 | + | 0.644979i | ||||
\(565\) | −3.77620e8 | −0.0880817 | ||||||||
\(566\) | −7.49937e9 | − | 1.55659e9i | −1.73847 | − | 0.360842i | ||||
\(567\) | 4.26991e9 | − | 1.49324e8i | 0.983735 | − | 0.0344024i | ||||
\(568\) | −1.40225e8 | + | 1.98944e8i | −0.0321075 | + | 0.0455524i | ||||
\(569\) | 6.15858e9i | 1.40148i | 0.713416 | + | 0.700741i | \(0.247147\pi\) | ||||
−0.713416 | + | 0.700741i | \(0.752853\pi\) | |||||||
\(570\) | −1.14771e9 | − | 7.66158e8i | −0.259579 | − | 0.173283i | ||||
\(571\) | − | 5.67032e9i | − | 1.27462i | −0.770607 | − | 0.637311i | \(-0.780047\pi\) | ||
0.770607 | − | 0.637311i | \(-0.219953\pi\) | |||||||
\(572\) | −5.04429e9 | − | 2.18829e9i | −1.12697 | − | 0.488900i | ||||
\(573\) | −7.98601e8 | + | 1.97668e9i | −0.177333 | + | 0.438930i | ||||
\(574\) | 6.62961e8 | − | 3.19402e9i | 0.146317 | − | 0.704930i | ||||
\(575\) | −2.63615e9 | −0.578272 | ||||||||
\(576\) | −1.89137e9 | + | 4.17833e9i | −0.412380 | + | 0.911012i | ||||
\(577\) | 5.17119e8 | 0.112066 | 0.0560332 | − | 0.998429i | \(-0.482155\pi\) | ||||
0.0560332 | + | 0.998429i | \(0.482155\pi\) | |||||||
\(578\) | 9.20824e8 | − | 4.43636e9i | 0.198349 | − | 0.955606i | ||||
\(579\) | 2.80936e9 | − | 6.95366e9i | 0.601495 | − | 1.48881i | ||||
\(580\) | 3.65037e9 | + | 1.58359e9i | 0.776853 | + | 0.337011i | ||||
\(581\) | − | 2.01794e9i | − | 0.426865i | ||||||
\(582\) | 2.45215e9 | + | 1.63694e9i | 0.515604 | + | 0.344194i | ||||
\(583\) | − | 3.89811e8i | − | 0.0814731i | ||||||
\(584\) | 2.85188e8 | − | 4.04610e8i | 0.0592497 | − | 0.0840605i | ||||
\(585\) | 1.28847e9 | − | 1.33432e9i | 0.266091 | − | 0.275559i | ||||
\(586\) | −5.68825e9 | − | 1.18067e9i | −1.16772 | − | 0.242375i | ||||
\(587\) | 7.64033e9 | 1.55912 | 0.779559 | − | 0.626329i | \(-0.215443\pi\) | ||||
0.779559 | + | 0.626329i | \(0.215443\pi\) | |||||||
\(588\) | −1.09198e8 | + | 1.07491e8i | −0.0221509 | + | 0.0218047i | ||||
\(589\) | 2.21302e9 | 0.446254 | ||||||||
\(590\) | −3.26144e9 | − | 6.76954e8i | −0.653773 | − | 0.135699i | ||||
\(591\) | 2.08491e9 | + | 8.42327e8i | 0.415462 | + | 0.167851i | ||||
\(592\) | −3.63047e9 | − | 3.88014e9i | −0.719178 | − | 0.768636i | ||||
\(593\) | − | 5.10235e9i | − | 1.00480i | −0.864636 | − | 0.502399i | \(-0.832451\pi\) | ||
0.864636 | − | 0.502399i | \(-0.167549\pi\) | |||||||
\(594\) | 1.89297e9 | + | 8.69932e9i | 0.370588 | + | 1.70307i | ||||
\(595\) | 4.26070e8i | 0.0829223i | ||||||||
\(596\) | 9.25699e8 | − | 2.13385e9i | 0.179105 | − | 0.412860i | ||||
\(597\) | −6.49593e9 | − | 2.62443e9i | −1.24949 | − | 0.504807i | ||||
\(598\) | −6.14754e8 | + | 2.96177e9i | −0.117557 | + | 0.566366i | ||||
\(599\) | 2.42673e9 | 0.461347 | 0.230673 | − | 0.973031i | \(-0.425907\pi\) | ||||
0.230673 | + | 0.973031i | \(0.425907\pi\) | |||||||
\(600\) | 2.02077e9 | + | 3.13289e9i | 0.381934 | + | 0.592129i | ||||
\(601\) | −8.12424e9 | −1.52659 | −0.763294 | − | 0.646051i | \(-0.776419\pi\) | ||||
−0.763294 | + | 0.646051i | \(0.776419\pi\) | |||||||
\(602\) | −8.59199e8 | + | 4.13946e9i | −0.160511 | + | 0.773314i | ||||
\(603\) | −3.80657e9 | + | 3.94202e9i | −0.707006 | + | 0.732163i | ||||
\(604\) | 1.33752e9 | − | 3.08314e9i | 0.246984 | − | 0.569330i | ||||
\(605\) | 6.03243e9i | 1.10751i | ||||||||
\(606\) | 2.55866e9 | − | 3.83289e9i | 0.467045 | − | 0.699636i | ||||
\(607\) | − | 1.10027e9i | − | 0.199682i | −0.995003 | − | 0.0998412i | \(-0.968167\pi\) | ||
0.995003 | − | 0.0998412i | \(-0.0318335\pi\) | |||||||
\(608\) | −1.65670e9 | − | 2.71730e9i | −0.298939 | − | 0.490316i | ||||
\(609\) | 3.20227e9 | − | 7.92619e9i | 0.574511 | − | 1.42202i | ||||
\(610\) | 2.31185e9 | + | 4.79854e8i | 0.412387 | + | 0.0855962i | ||||
\(611\) | 3.65369e9 | 0.648019 | ||||||||
\(612\) | −8.11760e8 | + | 3.37063e8i | −0.143152 | + | 0.0594404i | ||||
\(613\) | 3.31609e9 | 0.581452 | 0.290726 | − | 0.956806i | \(-0.406103\pi\) | ||||
0.290726 | + | 0.956806i | \(0.406103\pi\) | |||||||
\(614\) | −1.50386e9 | − | 3.12145e8i | −0.262191 | − | 0.0544211i | ||||
\(615\) | −8.58968e8 | + | 2.12610e9i | −0.148907 | + | 0.368570i | ||||
\(616\) | 8.13526e9 | + | 5.73411e9i | 1.40229 | + | 0.988402i | ||||
\(617\) | 6.06980e9i | 1.04034i | 0.854062 | + | 0.520171i | \(0.174132\pi\) | ||||
−0.854062 | + | 0.520171i | \(0.825868\pi\) | |||||||
\(618\) | 2.93516e9 | − | 4.39688e9i | 0.500232 | − | 0.749350i | ||||
\(619\) | 1.99572e9i | 0.338206i | 0.985598 | + | 0.169103i | \(0.0540871\pi\) | ||||
−0.985598 | + | 0.169103i | \(0.945913\pi\) | |||||||
\(620\) | 2.29928e9 | + | 9.97463e8i | 0.387454 | + | 0.168084i | ||||
\(621\) | 4.47425e9 | − | 1.99227e9i | 0.749721 | − | 0.333831i | ||||
\(622\) | −2.31024e9 | + | 1.11303e10i | −0.384937 | + | 1.85456i | ||||
\(623\) | −4.16802e9 | −0.690592 | ||||||||
\(624\) | 3.99112e9 | − | 1.53979e9i | 0.657581 | − | 0.253697i | ||||
\(625\) | 1.22748e9 | 0.201111 | ||||||||
\(626\) | 6.72810e8 | − | 3.24147e9i | 0.109618 | − | 0.528120i | ||||
\(627\) | −5.72784e9 | − | 2.31412e9i | −0.928015 | − | 0.374929i | ||||
\(628\) | −4.55072e9 | − | 1.97417e9i | −0.733198 | − | 0.318073i | ||||
\(629\) | − | 1.01833e9i | − | 0.163159i | ||||||
\(630\) | −2.77449e9 | + | 1.89089e9i | −0.442071 | + | 0.301283i | ||||
\(631\) | 1.06585e10i | 1.68885i | 0.535672 | + | 0.844426i | \(0.320059\pi\) | ||||
−0.535672 | + | 0.844426i | \(0.679941\pi\) | |||||||
\(632\) | −3.77698e9 | − | 2.66219e9i | −0.595161 | − | 0.419497i | ||||
\(633\) | 6.25911e9 | + | 2.52875e9i | 0.980843 | + | 0.396272i | ||||
\(634\) | −8.17576e9 | − | 1.69699e9i | −1.27414 | − | 0.264464i | ||||
\(635\) | −2.03355e9 | −0.315171 | ||||||||
\(636\) | 2.12752e8 | + | 2.16129e8i | 0.0327924 | + | 0.0333130i | ||||
\(637\) | 1.42916e8 | 0.0219075 | ||||||||
\(638\) | 1.74415e10 | + | 3.62022e9i | 2.65896 | + | 0.551902i | ||||
\(639\) | −2.64419e8 | − | 2.55333e8i | −0.0400903 | − | 0.0387128i | ||||
\(640\) | −4.96519e8 | − | 3.56993e9i | −0.0748696 | − | 0.538306i | ||||
\(641\) | 9.04119e9i | 1.35588i | 0.735115 | + | 0.677942i | \(0.237128\pi\) | ||||
−0.735115 | + | 0.677942i | \(0.762872\pi\) | |||||||
\(642\) | 6.16617e9 | + | 4.11625e9i | 0.919693 | + | 0.613945i | ||||
\(643\) | − | 7.29293e8i | − | 0.108184i | −0.998536 | − | 0.0540921i | \(-0.982774\pi\) | ||
0.998536 | − | 0.0540921i | \(-0.0172264\pi\) | |||||||
\(644\) | 2.17913e9 | − | 5.02316e9i | 0.321501 | − | 0.741099i | ||||
\(645\) | 1.11322e9 | − | 2.75543e9i | 0.163352 | − | 0.404324i | ||||
\(646\) | 1.23951e8 | − | 5.97173e8i | 0.0180899 | − | 0.0871538i | ||||
\(647\) | −4.24459e9 | −0.616127 | −0.308064 | − | 0.951366i | \(-0.599681\pi\) | ||||
−0.308064 | + | 0.951366i | \(0.599681\pi\) | |||||||
\(648\) | −5.79748e9 | − | 3.79016e9i | −0.837003 | − | 0.547199i | ||||
\(649\) | −1.49118e10 | −2.14129 | ||||||||
\(650\) | 7.06680e8 | − | 3.40465e9i | 0.100931 | − | 0.486268i | ||||
\(651\) | 2.01703e9 | − | 4.99251e9i | 0.286536 | − | 0.709228i | ||||
\(652\) | 3.92863e9 | − | 9.05598e9i | 0.555104 | − | 1.27958i | ||||
\(653\) | 3.74961e8i | 0.0526975i | 0.999653 | + | 0.0263488i | \(0.00838804\pi\) | ||||
−0.999653 | + | 0.0263488i | \(0.991612\pi\) | |||||||
\(654\) | 3.54369e9 | + | 2.36560e9i | 0.495374 | + | 0.330689i | ||||
\(655\) | 1.64674e9i | 0.228971i | ||||||||
\(656\) | −3.86165e9 | + | 3.61317e9i | −0.534084 | + | 0.499718i | ||||
\(657\) | 5.37772e8 | + | 5.19294e8i | 0.0739809 | + | 0.0714389i | ||||
\(658\) | −6.47565e9 | − | 1.34410e9i | −0.886120 | − | 0.183926i | ||||
\(659\) | −8.66557e9 | −1.17950 | −0.589750 | − | 0.807586i | \(-0.700774\pi\) | ||||
−0.589750 | + | 0.807586i | \(0.700774\pi\) | |||||||
\(660\) | −4.90806e9 | − | 4.98599e9i | −0.664517 | − | 0.675068i | ||||
\(661\) | 1.02849e10 | 1.38514 | 0.692569 | − | 0.721352i | \(-0.256479\pi\) | ||||
0.692569 | + | 0.721352i | \(0.256479\pi\) | |||||||
\(662\) | −5.82860e9 | − | 1.20980e9i | −0.780838 | − | 0.162073i | ||||
\(663\) | 7.60121e8 | + | 3.07098e8i | 0.101294 | + | 0.0409241i | ||||
\(664\) | −1.88472e9 | + | 2.67395e9i | −0.249838 | + | 0.354458i | ||||
\(665\) | − | 2.32979e9i | − | 0.307214i | ||||||
\(666\) | 6.63120e9 | − | 4.51934e9i | 0.869826 | − | 0.592809i | ||||
\(667\) | − | 9.79964e9i | − | 1.27870i | ||||||
\(668\) | 9.00906e9 | + | 3.90827e9i | 1.16940 | + | 0.507303i | ||||
\(669\) | −4.89008e9 | − | 1.97565e9i | −0.631429 | − | 0.255104i | ||||
\(670\) | 8.75197e8 | − | 4.21654e9i | 0.112420 | − | 0.541619i | ||||
\(671\) | 1.05702e10 | 1.35068 | ||||||||
\(672\) | −7.64014e9 | + | 1.26082e9i | −0.971200 | + | 0.160273i | ||||
\(673\) | −5.11808e8 | −0.0647223 | −0.0323612 | − | 0.999476i | \(-0.510303\pi\) | ||||
−0.0323612 | + | 0.999476i | \(0.510303\pi\) | |||||||
\(674\) | 3.20330e8 | − | 1.54329e9i | 0.0402984 | − | 0.194150i | ||||
\(675\) | −5.14330e9 | + | 2.29018e9i | −0.643692 | + | 0.286619i | ||||
\(676\) | 3.70793e9 | + | 1.60856e9i | 0.461656 | + | 0.200274i | ||||
\(677\) | − | 8.58087e9i | − | 1.06285i | −0.847106 | − | 0.531424i | \(-0.821657\pi\) | ||
0.847106 | − | 0.531424i | \(-0.178343\pi\) | |||||||
\(678\) | 7.30227e8 | − | 1.09388e9i | 0.0899816 | − | 0.134793i | ||||
\(679\) | 4.97774e9i | 0.610222i | ||||||||
\(680\) | 3.97942e8 | − | 5.64580e8i | 0.0485332 | − | 0.0688565i | ||||
\(681\) | −2.05323e9 | + | 5.08211e9i | −0.249128 | + | 0.616636i | ||||
\(682\) | 1.09860e10 | + | 2.28028e9i | 1.32615 | + | 0.275260i | ||||
\(683\) | −1.18169e10 | −1.41915 | −0.709577 | − | 0.704628i | \(-0.751114\pi\) | ||||
−0.709577 | + | 0.704628i | \(0.751114\pi\) | |||||||
\(684\) | 4.43879e9 | − | 1.84310e9i | 0.530356 | − | 0.220218i | ||||
\(685\) | 7.97578e8 | 0.0948104 | ||||||||
\(686\) | −8.40256e9 | − | 1.74406e9i | −0.993751 | − | 0.206266i | ||||
\(687\) | −1.61198e9 | + | 3.98994e9i | −0.189676 | + | 0.469481i | ||||
\(688\) | 5.00471e9 | − | 4.68268e9i | 0.585894 | − | 0.548194i | ||||
\(689\) | − | 2.82867e8i | − | 0.0329469i | ||||||
\(690\) | −2.13696e9 | + | 3.20118e9i | −0.247643 | + | 0.370970i | ||||
\(691\) | − | 1.49118e10i | − | 1.71932i | −0.510870 | − | 0.859658i | \(-0.670677\pi\) | ||
0.510870 | − | 0.859658i | \(-0.329323\pi\) | |||||||
\(692\) | −6.69433e9 | + | 1.54313e10i | −0.767956 | + | 1.77023i | ||||
\(693\) | −1.04412e10 | + | 1.08127e10i | −1.19174 | + | 1.23415i | ||||
\(694\) | −1.69267e9 | + | 8.15495e9i | −0.192227 | + | 0.926112i | ||||
\(695\) | 8.13792e9 | 0.919532 | ||||||||
\(696\) | −1.16462e10 | + | 7.51204e9i | −1.30934 | + | 0.844551i | ||||
\(697\) | −1.01348e9 | −0.113370 | ||||||||
\(698\) | −2.49278e9 | + | 1.20097e10i | −0.277453 | + | 1.33672i | ||||
\(699\) | 1.34627e10 | + | 5.43908e9i | 1.49094 | + | 0.602359i | ||||
\(700\) | −2.50497e9 | + | 5.77428e9i | −0.276033 | + | 0.636289i | ||||
\(701\) | − | 1.32771e10i | − | 1.45576i | −0.685704 | − | 0.727881i | \(-0.740506\pi\) | ||
0.685704 | − | 0.727881i | \(-0.259494\pi\) | |||||||
\(702\) | 1.37364e9 | + | 6.31268e9i | 0.149862 | + | 0.688706i | ||||
\(703\) | 5.56833e9i | 0.604480i | ||||||||
\(704\) | −5.42438e9 | − | 1.51964e10i | −0.585930 | − | 1.64148i | ||||
\(705\) | 4.31051e9 | + | 1.74149e9i | 0.463304 | + | 0.187180i | ||||
\(706\) | −1.15678e10 | − | 2.40105e9i | −1.23719 | − | 0.256794i | ||||
\(707\) | 7.78058e9 | 0.828026 | ||||||||
\(708\) | 8.26782e9 | − | 8.13861e9i | 0.875538 | − | 0.861854i | ||||
\(709\) | 1.62054e10 | 1.70764 | 0.853822 | − | 0.520565i | \(-0.174279\pi\) | ||||
0.853822 | + | 0.520565i | \(0.174279\pi\) | |||||||
\(710\) | 2.82833e8 | + | 5.87056e7i | 0.0296569 | + | 0.00615567i | ||||
\(711\) | 4.84754e9 | − | 5.02002e9i | 0.505798 | − | 0.523796i | ||||
\(712\) | 5.52300e9 | + | 3.89287e9i | 0.573449 | + | 0.404194i | ||||
\(713\) | − | 6.17255e9i | − | 0.637751i | ||||||
\(714\) | −1.23423e9 | − | 8.23916e8i | −0.126897 | − | 0.0847109i | ||||
\(715\) | 6.52559e9i | 0.667649i | ||||||||
\(716\) | −1.45847e8 | − | 6.32707e7i | −0.0148491 | − | 0.00644179i | ||||
\(717\) | −3.80721e9 | + | 9.42351e9i | −0.385735 | + | 0.954763i | ||||
\(718\) | 1.99943e9 | − | 9.63289e9i | 0.201591 | − | 0.971227i | ||||
\(719\) | 1.10786e10 | 1.11157 | 0.555783 | − | 0.831327i | \(-0.312418\pi\) | ||||
0.555783 | + | 0.831327i | \(0.312418\pi\) | |||||||
\(720\) | 5.44252e9 | + | 8.57348e7i | 0.543421 | + | 0.00856038i | ||||
\(721\) | 8.92545e9 | 0.886863 | ||||||||
\(722\) | 1.37750e9 | − | 6.63655e9i | 0.136211 | − | 0.656239i | ||||
\(723\) | 1.52792e9 | − | 3.78187e9i | 0.150355 | − | 0.372154i | ||||
\(724\) | 1.05649e10 | + | 4.58324e9i | 1.03462 | + | 0.448835i | ||||
\(725\) | 1.12650e10i | 1.09786i | ||||||||
\(726\) | −1.74747e10 | − | 1.16653e10i | −1.69485 | − | 1.13140i | ||||
\(727\) | 6.77623e9i | 0.654060i | 0.945014 | + | 0.327030i | \(0.106048\pi\) | ||||
−0.945014 | + | 0.327030i | \(0.893952\pi\) | |||||||
\(728\) | 5.90337e9 | + | 4.16097e9i | 0.567074 | + | 0.399700i | ||||
\(729\) | 6.99875e9 | − | 7.77409e9i | 0.669074 | − | 0.743195i | ||||
\(730\) | −5.75222e8 | − | 1.19395e8i | −0.0547275 | − | 0.0113594i | ||||
\(731\) | 1.31347e9 | 0.124368 | ||||||||
\(732\) | −5.86059e9 | + | 5.76900e9i | −0.552271 | + | 0.543640i | ||||
\(733\) | −1.70741e10 | −1.60131 | −0.800653 | − | 0.599129i | \(-0.795514\pi\) | ||||
−0.800653 | + | 0.599129i | \(0.795514\pi\) | |||||||
\(734\) | 8.37856e9 | + | 1.73908e9i | 0.782048 | + | 0.162324i | ||||
\(735\) | 1.68608e8 | + | 6.81194e7i | 0.0156629 | + | 0.00632798i | ||||
\(736\) | −7.57909e9 | + | 4.62087e9i | −0.700720 | + | 0.427219i | ||||
\(737\) | − | 1.92787e10i | − | 1.77395i | ||||||
\(738\) | −4.49780e9 | − | 6.59960e9i | −0.411911 | − | 0.604395i | ||||
\(739\) | − | 1.17577e10i | − | 1.07168i | −0.844319 | − | 0.535841i | \(-0.819994\pi\) | ||
0.844319 | − | 0.535841i | \(-0.180006\pi\) | |||||||
\(740\) | −2.50978e9 | + | 5.78536e9i | −0.227680 | + | 0.524831i | ||||
\(741\) | −4.15642e9 | − | 1.67924e9i | −0.375280 | − | 0.151618i | ||||
\(742\) | −1.04060e8 | + | 5.01341e8i | −0.00935125 | + | 0.0450526i | ||||
\(743\) | −1.63694e10 | −1.46410 | −0.732052 | − | 0.681249i | \(-0.761437\pi\) | ||||
−0.732052 | + | 0.681249i | \(0.761437\pi\) | |||||||
\(744\) | −7.33568e9 | + | 4.73165e9i | −0.653033 | + | 0.421219i | ||||
\(745\) | −2.76047e9 | −0.244589 | ||||||||
\(746\) | −4.27708e9 | + | 2.06062e10i | −0.377191 | + | 1.81724i | ||||
\(747\) | −3.55397e9 | − | 3.43186e9i | −0.311955 | − | 0.301236i | ||||
\(748\) | 1.23065e9 | − | 2.83679e9i | 0.107517 | − | 0.247841i | ||||
\(749\) | 1.25170e10i | 1.08847i | ||||||||
\(750\) | 5.94279e9 | − | 8.90233e9i | 0.514370 | − | 0.770530i | ||||
\(751\) | − | 1.26000e10i | − | 1.08551i | −0.839893 | − | 0.542753i | \(-0.817382\pi\) | ||
0.839893 | − | 0.542753i | \(-0.182618\pi\) | |||||||
\(752\) | 7.32544e9 | + | 7.82921e9i | 0.628161 | + | 0.671360i | ||||
\(753\) | −2.54508e9 | + | 6.29953e9i | −0.217230 | + | 0.537683i | ||||
\(754\) | 1.26565e10 | + | 2.62702e9i | 1.07526 | + | 0.223184i | ||||
\(755\) | −3.98853e9 | −0.337286 | ||||||||
\(756\) | −1.12295e8 | − | 1.16936e10i | −0.00945221 | − | 0.984291i | ||||
\(757\) | −3.55621e9 | −0.297955 | −0.148978 | − | 0.988841i | \(-0.547598\pi\) | ||||
−0.148978 | + | 0.988841i | \(0.547598\pi\) | |||||||
\(758\) | −5.76353e9 | − | 1.19629e9i | −0.480669 | − | 0.0997691i | ||||
\(759\) | −6.45452e9 | + | 1.59761e10i | −0.535818 | + | 1.32625i | ||||
\(760\) | −2.17599e9 | + | 3.08718e9i | −0.179808 | + | 0.255103i | ||||
\(761\) | 4.41993e9i | 0.363554i | 0.983340 | + | 0.181777i | \(0.0581850\pi\) | ||||
−0.983340 | + | 0.181777i | \(0.941815\pi\) | |||||||
\(762\) | 3.93240e9 | − | 5.89075e9i | 0.321970 | − | 0.482312i | ||||
\(763\) | 7.19351e9i | 0.586280i | ||||||||
\(764\) | 5.35315e9 | + | 2.32228e9i | 0.434293 | + | 0.188403i | ||||
\(765\) | 7.50391e8 | + | 7.24607e8i | 0.0606000 | + | 0.0585178i | ||||
\(766\) | 4.46925e9 | − | 2.15320e10i | 0.359281 | − | 1.73095i | ||||
\(767\) | −1.08208e10 | −0.865916 | ||||||||
\(768\) | 1.13015e10 | + | 5.46508e9i | 0.900264 | + | 0.435343i | ||||
\(769\) | −4.20265e9 | −0.333259 | −0.166629 | − | 0.986020i | \(-0.553288\pi\) | ||||
−0.166629 | + | 0.986020i | \(0.553288\pi\) | |||||||
\(770\) | 2.40060e9 | − | 1.15657e10i | 0.189497 | − | 0.912962i | ||||
\(771\) | −5.85339e9 | − | 2.36484e9i | −0.459957 | − | 0.185828i | ||||
\(772\) | −1.88316e10 | − | 8.16944e9i | −1.47308 | − | 0.639045i | ||||
\(773\) | − | 9.46793e9i | − | 0.737270i | −0.929574 | − | 0.368635i | \(-0.879825\pi\) | ||
0.929574 | − | 0.368635i | \(-0.120175\pi\) | |||||||
\(774\) | 5.82916e9 | + | 8.55310e9i | 0.451869 | + | 0.663026i | ||||
\(775\) | 7.09554e9i | 0.547558i | ||||||||
\(776\) | 4.64913e9 | − | 6.59595e9i | 0.357154 | − | 0.506712i | ||||
\(777\) | 1.25620e10 | + | 5.07519e9i | 0.960694 | + | 0.388132i | ||||
\(778\) | −9.63234e9 | − | 1.99932e9i | −0.733336 | − | 0.152214i | ||||
\(779\) | 5.54180e9 | 0.420020 | ||||||||
\(780\) | −3.56154e9 | − | 3.61809e9i | −0.268724 | − | 0.272991i | ||||
\(781\) | 1.29316e9 | 0.0971345 | ||||||||
\(782\) | −1.66563e9 | − | 3.45724e8i | −0.124553 | − | 0.0258527i | ||||
\(783\) | −8.51352e9 | − | 1.91197e10i | −0.633786 | − | 1.42336i | ||||
\(784\) | 2.86538e8 | + | 3.06244e8i | 0.0212362 | + | 0.0226966i | ||||
\(785\) | 5.88707e9i | 0.434366i | ||||||||
\(786\) | −4.77024e9 | − | 3.18439e9i | −0.350398 | − | 0.233909i | ||||
\(787\) | 1.03585e10i | 0.757508i | 0.925497 | + | 0.378754i | \(0.123647\pi\) | ||||
−0.925497 | + | 0.378754i | \(0.876353\pi\) | |||||||
\(788\) | 2.44944e9 | − | 5.64626e9i | 0.178330 | − | 0.411073i | ||||
\(789\) | 5.02861e9 | − | 1.24467e10i | 0.364484 | − | 0.902162i | ||||
\(790\) | −1.11453e9 | + | 5.36961e9i | −0.0804263 | + | 0.387479i | ||||
\(791\) | 2.22053e9 | 0.159529 | ||||||||
\(792\) | 2.39343e10 | − | 4.57589e9i | 1.71192 | − | 0.327293i | ||||
\(793\) | 7.67025e9 | 0.546202 | ||||||||
\(794\) | 2.60451e9 | − | 1.25480e10i | 0.184652 | − | 0.889619i | ||||
\(795\) | 1.34826e8 | − | 3.33717e8i | 0.00951672 | − | 0.0235556i | ||||
\(796\) | −7.63168e9 | + | 1.75920e10i | −0.536321 | + | 1.23629i | ||||
\(797\) | 3.25001e9i | 0.227395i | 0.993515 | + | 0.113697i | \(0.0362695\pi\) | ||||
−0.993515 | + | 0.113697i | \(0.963731\pi\) | |||||||
\(798\) | 6.74890e9 | + | 4.50526e9i | 0.470136 | + | 0.313841i | ||||
\(799\) | 2.05475e9i | 0.142510i | ||||||||
\(800\) | 8.71241e9 | − | 5.31183e9i | 0.601621 | − | 0.366800i | ||||
\(801\) | −7.08846e9 | + | 7.34068e9i | −0.487347 | + | 0.504688i | ||||
\(802\) | 6.08231e9 | + | 1.26246e9i | 0.416350 | + | 0.0864188i | ||||
\(803\) | −2.63001e9 | −0.179248 | ||||||||
\(804\) | 1.05220e10 | + | 1.06890e10i | 0.714004 | + | 0.725340i | ||||
\(805\) | −6.49825e9 | −0.439046 | ||||||||
\(806\) | 7.97200e9 | + | 1.65469e9i | 0.536284 | + | 0.111313i | ||||
\(807\) | 2.25082e10 | + | 9.09357e9i | 1.50759 | + | 0.609084i | ||||
\(808\) | −1.03100e10 | − | 7.26694e9i | −0.687571 | − | 0.484632i | ||||
\(809\) | 4.08255e9i | 0.271089i | 0.990771 | + | 0.135544i | \(0.0432783\pi\) | ||||
−0.990771 | + | 0.135544i | \(0.956722\pi\) | |||||||
\(810\) | −1.38830e9 | + | 8.10222e9i | −0.0917879 | + | 0.535681i | ||||
\(811\) | 1.68910e10i | 1.11194i | 0.831202 | + | 0.555971i | \(0.187653\pi\) | ||||
−0.831202 | + | 0.555971i | \(0.812347\pi\) | |||||||
\(812\) | −2.14654e10 | − | 9.31201e9i | −1.40699 | − | 0.610376i | ||||
\(813\) | 1.03879e10 | + | 4.19685e9i | 0.677973 | + | 0.273909i | ||||
\(814\) | −5.73758e9 | + | 2.76426e10i | −0.372858 | + | 1.79636i | ||||
\(815\) | −1.17153e10 | −0.758059 | ||||||||
\(816\) | 8.65942e8 | + | 2.24452e9i | 0.0557922 | + | 0.144613i | ||||
\(817\) | −7.18219e9 | −0.460765 | ||||||||
\(818\) | −1.25942e9 | + | 6.06766e9i | −0.0804516 | + | 0.387601i | ||||
\(819\) | −7.57664e9 | + | 7.84624e9i | −0.481929 | + | 0.499077i | ||||
\(820\) | 5.75780e9 | + | 2.49782e9i | 0.364677 | + | 0.158203i | ||||
\(821\) | 6.81807e9i | 0.429992i | 0.976615 | + | 0.214996i | \(0.0689739\pi\) | ||||
−0.976615 | + | 0.214996i | \(0.931026\pi\) | |||||||
\(822\) | −1.54232e9 | + | 2.31041e9i | −0.0968555 | + | 0.145090i | ||||
\(823\) | − | 8.14880e9i | − | 0.509559i | −0.966999 | − | 0.254779i | \(-0.917997\pi\) | ||
0.966999 | − | 0.254779i | \(-0.0820028\pi\) | |||||||
\(824\) | −1.18270e10 | − | 8.33623e9i | −0.736428 | − | 0.519068i | ||||
\(825\) | 7.41967e9 | − | 1.83650e10i | 0.460040 | − | 1.13868i | ||||
\(826\) | 1.91783e10 | + | 3.98071e9i | 1.18408 | + | 0.245771i | ||||
\(827\) | 5.75610e9 | 0.353883 | 0.176941 | − | 0.984221i | \(-0.443380\pi\) | ||||
0.176941 | + | 0.984221i | \(0.443380\pi\) | |||||||
\(828\) | −5.14076e9 | − | 1.23806e10i | −0.314718 | − | 0.757944i | ||||
\(829\) | 1.37897e10 | 0.840645 | 0.420322 | − | 0.907375i | \(-0.361917\pi\) | ||||
0.420322 | + | 0.907375i | \(0.361917\pi\) | |||||||
\(830\) | 3.80147e9 | + | 7.89044e8i | 0.230769 | + | 0.0478992i | ||||
\(831\) | 1.83221e9 | − | 4.53505e9i | 0.110757 | − | 0.274144i | ||||
\(832\) | −3.93621e9 | − | 1.10273e10i | −0.236945 | − | 0.663801i | ||||
\(833\) | 8.03727e7i | 0.00481783i | ||||||||
\(834\) | −1.57368e10 | + | 2.35738e10i | −0.939366 | + | 1.40718i | ||||
\(835\) | − | 1.16546e10i | − | 0.692781i | ||||||
\(836\) | −6.72930e9 | + | 1.55119e10i | −0.398335 | + | 0.918211i | ||||
\(837\) | −5.36246e9 | − | 1.20430e10i | −0.316100 | − | 0.709900i | ||||
\(838\) | 7.28045e8 | − | 3.50759e9i | 0.0427370 | − | 0.205899i | ||||
\(839\) | 2.11457e10 | 1.23610 | 0.618052 | − | 0.786138i | \(-0.287922\pi\) | ||||
0.618052 | + | 0.786138i | \(0.287922\pi\) | |||||||
\(840\) | 4.98132e9 | + | 7.72275e9i | 0.289979 | + | 0.449567i | ||||
\(841\) | −2.46267e10 | −1.42765 | ||||||||
\(842\) | 1.96674e9 | − | 9.47540e9i | 0.113542 | − | 0.547023i | ||||
\(843\) | 2.85494e9 | + | 1.15343e9i | 0.164134 | + | 0.0663122i | ||||
\(844\) | 7.35345e9 | − | 1.69506e10i | 0.421010 | − | 0.970482i | ||||
\(845\) | − | 4.79679e9i | − | 0.273497i | ||||||
\(846\) | −1.33802e10 | + | 9.11897e9i | −0.759743 | + | 0.517785i | ||||
\(847\) | − | 3.54727e10i | − | 2.00587i | ||||||
\(848\) | 6.06133e8 | − | 5.67132e8i | 0.0341337 | − | 0.0319373i | ||||
\(849\) | −2.93543e10 | − | 1.18595e10i | −1.64625 | − | 0.665102i | ||||
\(850\) | 1.91470e9 | + | 3.97420e8i | 0.106938 | + | 0.0221965i | ||||
\(851\) | 1.55312e10 | 0.863875 | ||||||||
\(852\) | −7.16988e8 | + | 7.05782e8i | −0.0397167 | + | 0.0390960i | ||||
\(853\) | 8.37806e9 | 0.462191 | 0.231096 | − | 0.972931i | \(-0.425769\pi\) | ||||
0.231096 | + | 0.972931i | \(0.425769\pi\) | |||||||
\(854\) | −1.35944e10 | − | 2.82170e9i | −0.746892 | − | 0.155027i | ||||
\(855\) | −4.10321e9 | − | 3.96223e9i | −0.224514 | − | 0.216799i | ||||
\(856\) | 1.16907e10 | − | 1.65862e10i | 0.637063 | − | 0.903833i | ||||
\(857\) | 1.46458e10i | 0.794842i | 0.917636 | + | 0.397421i | \(0.130095\pi\) | ||||
−0.917636 | + | 0.397421i | \(0.869905\pi\) | |||||||
\(858\) | −1.89032e10 | − | 1.26189e10i | −1.02172 | − | 0.682050i | ||||
\(859\) | 2.68364e10i | 1.44460i | 0.691579 | + | 0.722301i | \(0.256916\pi\) | ||||
−0.691579 | + | 0.722301i | \(0.743084\pi\) | |||||||
\(860\) | −7.46212e9 | − | 3.23719e9i | −0.400053 | − | 0.173549i | ||||
\(861\) | 5.05101e9 | − | 1.25021e10i | 0.269692 | − | 0.667534i | ||||
\(862\) | −1.98342e9 | + | 9.55577e9i | −0.105473 | + | 0.508148i | ||||
\(863\) | 1.14962e9 | 0.0608858 | 0.0304429 | − | 0.999537i | \(-0.490308\pi\) | ||||
0.0304429 | + | 0.999537i | \(0.490308\pi\) | |||||||
\(864\) | −1.07729e10 | + | 1.56000e10i | −0.568242 | + | 0.822861i | ||||
\(865\) | 1.99628e10 | 1.04873 | ||||||||
\(866\) | −1.35260e8 | + | 6.51656e8i | −0.00707710 | + | 0.0340962i | ||||
\(867\) | 7.01564e9 | − | 1.73649e10i | 0.365595 | − | 0.904912i | ||||
\(868\) | −1.35205e10 | − | 5.86541e9i | −0.701736 | − | 0.304424i | ||||
\(869\) | 2.45508e10i | 1.26910i | ||||||||
\(870\) | 1.36795e10 | + | 9.13184e9i | 0.704295 | + | 0.470155i | ||||
\(871\) | − | 1.39896e10i | − | 0.717370i | ||||||
\(872\) | 6.71863e9 | − | 9.53205e9i | 0.343141 | − | 0.486831i | ||||
\(873\) | 8.76676e9 | + | 8.46553e9i | 0.445953 | + | 0.430630i | ||||
\(874\) | 9.10785e9 | + | 1.89045e9i | 0.461451 | + | 0.0957802i | ||||
\(875\) | 1.80713e10 | 0.911929 | ||||||||
\(876\) | 1.45820e9 | − | 1.43541e9i | 0.0732915 | − | 0.0721460i | ||||
\(877\) | −3.49369e9 | −0.174898 | −0.0874491 | − | 0.996169i | \(-0.527872\pi\) | ||||
−0.0874491 | + | 0.996169i | \(0.527872\pi\) | |||||||
\(878\) | −1.93506e10 | − | 4.01648e9i | −0.964860 | − | 0.200269i | ||||
\(879\) | −2.22651e10 | − | 8.99537e9i | −1.10577 | − | 0.446743i | ||||
\(880\) | −1.39832e10 | + | 1.30834e10i | −0.691697 | + | 0.647190i | ||||
\(881\) | 1.01581e10i | 0.500493i | 0.968182 | + | 0.250247i | \(0.0805117\pi\) | ||||
−0.968182 | + | 0.250247i | \(0.919488\pi\) | |||||||
\(882\) | −5.23374e8 | + | 3.56693e8i | −0.0256846 | + | 0.0175047i | ||||
\(883\) | − | 1.09496e10i | − | 0.535222i | −0.963527 | − | 0.267611i | \(-0.913766\pi\) | ||
0.963527 | − | 0.267611i | \(-0.0862342\pi\) | |||||||
\(884\) | 8.93021e8 | − | 2.05853e9i | 0.0434789 | − | 0.100224i | ||||
\(885\) | −1.27660e10 | − | 5.15762e9i | −0.619091 | − | 0.250120i | ||||
\(886\) | 2.21431e9 | − | 1.06682e10i | 0.106960 | − | 0.515313i | ||||
\(887\) | −9.70090e8 | −0.0466744 | −0.0233372 | − | 0.999728i | \(-0.507429\pi\) | ||||
−0.0233372 | + | 0.999728i | \(0.507429\pi\) | |||||||
\(888\) | −1.19056e10 | − | 1.84578e10i | −0.570567 | − | 0.884575i | ||||
\(889\) | 1.19579e10 | 0.570821 | ||||||||
\(890\) | 1.62976e9 | − | 7.85188e9i | 0.0774924 | − | 0.373344i | ||||
\(891\) | 1.28616e9 | + | 3.67778e10i | 0.0609150 | + | 1.74186i | ||||
\(892\) | −5.74506e9 | + | 1.32431e10i | −0.271030 | + | 0.624758i | ||||
\(893\) | − | 1.12356e10i | − | 0.527979i | ||||||
\(894\) | 5.33809e9 | − | 7.99649e9i | 0.249865 | − | 0.374299i | ||||
\(895\) | 1.88676e8i | 0.00879702i | ||||||||
\(896\) | 2.91969e9 | + | 2.09923e10i | 0.135600 | + | 0.974951i | ||||
\(897\) | −4.68373e9 | + | 1.15931e10i | −0.216680 | + | 0.536321i | ||||
\(898\) | 3.52833e10 | + | 7.32352e9i | 1.62593 | + | 0.337484i | ||||
\(899\) | −2.63770e10 | −1.21079 | ||||||||
\(900\) | 5.90946e9 | + | 1.42319e10i | 0.270209 | + | 0.650752i | ||||
\(901\) | 1.59078e8 | 0.00724558 | ||||||||
\(902\) | 2.75109e10 | + | 5.71024e9i | 1.24819 | + | 0.259079i | ||||
\(903\) | −6.54612e9 | + | 1.62028e10i | −0.295854 | + | 0.732290i | ||||
\(904\) | −2.94240e9 | − | 2.07394e9i | −0.132469 | − | 0.0933699i | ||||
\(905\) | − | 1.36674e10i | − | 0.612937i | ||||||
\(906\) | 7.71285e9 | − | 1.15539e10i | 0.344561 | − | 0.516154i | ||||
\(907\) | 3.52293e10i | 1.56775i | 0.620916 | + | 0.783877i | \(0.286761\pi\) | ||||
−0.620916 | + | 0.783877i | \(0.713239\pi\) | |||||||
\(908\) | 1.37631e10 | + | 5.97067e9i | 0.610123 | + | 0.264681i | ||||
\(909\) | 1.32323e10 | − | 1.37031e10i | 0.584333 | − | 0.605125i | ||||
\(910\) | 1.74200e9 | − | 8.39264e9i | 0.0766309 | − | 0.369193i | ||||
\(911\) | −2.95570e10 | −1.29523 | −0.647613 | − | 0.761970i | \(-0.724232\pi\) | ||||
−0.647613 | + | 0.761970i | \(0.724232\pi\) | |||||||
\(912\) | −4.73506e9 | − | 1.22732e10i | −0.206701 | − | 0.535769i | ||||
\(913\) | 1.73810e10 | 0.755833 | ||||||||
\(914\) | 1.60986e9 | − | 7.75601e9i | 0.0697391 | − | 0.335990i | ||||
\(915\) | 9.04911e9 | + | 3.65594e9i | 0.390510 | + | 0.157771i | ||||
\(916\) | 1.08054e10 | + | 4.68754e9i | 0.464521 | + | 0.201517i | ||||
\(917\) | − | 9.68335e9i | − | 0.414699i | ||||||
\(918\) | −3.55011e9 | + | 7.72502e8i | −0.151458 | + | 0.0329572i | ||||
\(919\) | 1.44914e10i | 0.615894i | 0.951403 | + | 0.307947i | \(0.0996420\pi\) | ||||
−0.951403 | + | 0.307947i | \(0.900358\pi\) | |||||||
\(920\) | 8.61076e9 | + | 6.06926e9i | 0.364573 | + | 0.256968i | ||||
\(921\) | −5.88645e9 | − | 2.37820e9i | −0.248282 | − | 0.100309i | ||||
\(922\) | −4.05046e10 | − | 8.40725e9i | −1.70195 | − | 0.353261i | ||||
\(923\) | 9.38383e8 | 0.0392803 | ||||||||
\(924\) | 2.88610e10 | + | 2.93192e10i | 1.20354 | + | 1.22265i | ||||
\(925\) | −1.78536e10 | −0.741701 | ||||||||
\(926\) | 1.61613e10 | + | 3.35448e9i | 0.668863 | + | 0.138831i | ||||
\(927\) | 1.51793e10 | − | 1.57194e10i | 0.625854 | − | 0.648124i | ||||
\(928\) | 1.97462e10 | + | 3.23876e10i | 0.811086 | + | 1.33033i | ||||
\(929\) | 1.42684e10i | 0.583874i | 0.956438 | + | 0.291937i | \(0.0942998\pi\) | ||||
−0.956438 | + | 0.291937i | \(0.905700\pi\) | |||||||
\(930\) | 8.61641e9 | + | 5.75192e9i | 0.351266 | + | 0.234489i | ||||
\(931\) | − | 4.39486e8i | − | 0.0178493i | ||||||
\(932\) | 1.58165e10 | − | 3.64590e10i | 0.639963 | − | 1.47519i | ||||
\(933\) | −1.76014e10 | + | 4.35666e10i | −0.709514 | + | 1.75617i | ||||
\(934\) | 7.76981e9 | − | 3.74335e10i | 0.312030 | − | 1.50330i | ||||
\(935\) | −3.66984e9 | −0.146827 | ||||||||
\(936\) | 1.73680e10 | − | 3.32050e9i | 0.692284 | − | 0.132354i | ||||
\(937\) | −6.09581e9 | −0.242071 | −0.121036 | − | 0.992648i | \(-0.538622\pi\) | ||||
−0.121036 | + | 0.992648i | \(0.538622\pi\) | |||||||
\(938\) | −5.14645e9 | + | 2.47946e10i | −0.203609 | + | 0.980951i | ||||
\(939\) | 5.12605e9 | − | 1.26879e10i | 0.202048 | − | 0.500103i | ||||
\(940\) | 5.06416e9 | − | 1.16735e10i | 0.198866 | − | 0.458410i | ||||
\(941\) | − | 4.06101e10i | − | 1.58880i | −0.607392 | − | 0.794402i | \(-0.707784\pi\) | ||
0.607392 | − | 0.794402i | \(-0.292216\pi\) | |||||||
\(942\) | −1.70536e10 | − | 1.13842e10i | −0.664717 | − | 0.443735i | ||||
\(943\) | − | 1.54572e10i | − | 0.600260i | ||||||
\(944\) | −2.16951e10 | − | 2.31871e10i | −0.839381 | − | 0.897106i | ||||
\(945\) | −1.26785e10 | + | 5.64540e9i | −0.488716 | + | 0.217612i | ||||
\(946\) | −3.56542e10 | − | 7.40048e9i | −1.36928 | − | 0.284211i | ||||
\(947\) | −2.26050e10 | −0.864928 | −0.432464 | − | 0.901651i | \(-0.642356\pi\) | ||||
−0.432464 | + | 0.901651i | \(0.642356\pi\) | |||||||
\(948\) | −1.33994e10 | − | 1.36121e10i | −0.510805 | − | 0.518915i | ||||
\(949\) | −1.90847e9 | −0.0724861 | ||||||||
\(950\) | −1.04698e10 | − | 2.17314e9i | −0.396191 | − | 0.0822345i | ||||
\(951\) | −3.20018e10 | − | 1.29291e10i | −1.20654 | − | 0.487458i | ||||
\(952\) | −2.34003e9 | + | 3.31992e9i | −0.0879007 | + | 0.124709i | ||||
\(953\) | − | 2.42990e10i | − | 0.909417i | −0.890640 | − | 0.454708i | \(-0.849743\pi\) | ||
0.890640 | − | 0.454708i | \(-0.150257\pi\) | |||||||
\(954\) | 7.05986e8 | + | 1.03589e9i | 0.0263255 | + | 0.0386273i | ||||
\(955\) | − | 6.92514e9i | − | 0.257286i | ||||||
\(956\) | 2.55203e10 | + | 1.10711e10i | 0.944678 | + | 0.409816i | ||||
\(957\) | 6.82702e10 | + | 2.75820e10i | 2.51791 | + | 1.01726i | ||||
\(958\) | −2.18811e8 | + | 1.05419e9i | −0.00804063 | + | 0.0387383i | ||||
\(959\) | −4.69002e9 | −0.171716 | ||||||||
\(960\) | 6.12236e8 | − | 1.48858e10i | 0.0223342 | − | 0.543029i | ||||
\(961\) | 1.08984e10 | 0.396123 | ||||||||
\(962\) | −4.16348e9 | + | 2.00589e10i | −0.150780 | + | 0.726430i | ||||
\(963\) | 2.20449e10 | + | 2.12874e10i | 0.795456 | + | 0.768124i | ||||
\(964\) | −1.02419e10 | − | 4.44310e9i | −0.368223 | − | 0.159741i | ||||
\(965\) | 2.43616e10i | 0.872690i | ||||||||
\(966\) | 1.25660e10 | − | 1.88240e10i | 0.448517 | − | 0.671881i | ||||
\(967\) | 6.84835e9i | 0.243553i | 0.992558 | + | 0.121776i | \(0.0388591\pi\) | ||||
−0.992558 | + | 0.121776i | \(0.961141\pi\) | |||||||
\(968\) | −3.31309e10 | + | 4.70045e10i | −1.17401 | + | 1.66562i | ||||
\(969\) | 9.44367e8 | − | 2.33748e9i | 0.0333432 | − | 0.0825304i | ||||
\(970\) | −9.37727e9 | − | 1.94637e9i | −0.329895 | − | 0.0684739i | ||||
\(971\) | 6.30800e9 | 0.221118 | 0.110559 | − | 0.993870i | \(-0.464736\pi\) | ||||
0.110559 | + | 0.993870i | \(0.464736\pi\) | |||||||
\(972\) | −2.07857e10 | − | 1.96893e10i | −0.725995 | − | 0.687700i | ||||
\(973\) | −4.78536e10 | −1.66541 | ||||||||
\(974\) | −3.65421e10 | − | 7.58478e9i | −1.26718 | − | 0.263019i | ||||
\(975\) | 5.38410e9 | − | 1.33266e10i | 0.186036 | − | 0.460472i | ||||
\(976\) | 1.53784e10 | + | 1.64360e10i | 0.529464 | + | 0.565876i | ||||
\(977\) | − | 1.11209e10i | − | 0.381512i | −0.981637 | − | 0.190756i | \(-0.938906\pi\) | ||
0.981637 | − | 0.190756i | \(-0.0610939\pi\) | |||||||
\(978\) | 2.26546e10 | − | 3.39368e10i | 0.774411 | − | 1.16007i | ||||
\(979\) | − | 3.59001e10i | − | 1.22280i | ||||||
\(980\) | 1.98087e8 | − | 4.56616e8i | 0.00672303 | − | 0.0154974i | ||||
\(981\) | 1.26692e10 | + | 1.22338e10i | 0.428456 | + | 0.413734i | ||||
\(982\) | −5.57506e9 | + | 2.68596e10i | −0.187871 | + | 0.905127i | ||||
\(983\) | 5.16764e10 | 1.73522 | 0.867611 | − | 0.497244i | \(-0.165655\pi\) | ||||
0.867611 | + | 0.497244i | \(0.165655\pi\) | |||||||
\(984\) | −1.83699e10 | + | 1.18489e10i | −0.614643 | + | 0.396456i | ||||
\(985\) | −7.30432e9 | −0.243530 | ||||||||
\(986\) | −1.47737e9 | + | 7.11771e9i | −0.0490819 | + | 0.236467i | ||||
\(987\) | −2.53472e10 | − | 1.02406e10i | −0.839112 | − | 0.339011i | ||||
\(988\) | −4.88313e9 | + | 1.12562e10i | −0.161083 | + | 0.371316i | ||||
\(989\) | 2.00325e10i | 0.658489i | ||||||||
\(990\) | −1.62867e10 | − | 2.38974e10i | −0.533470 | − | 0.782757i | ||||
\(991\) | 2.83889e10i | 0.926596i | 0.886202 | + | 0.463298i | \(0.153334\pi\) | ||||
−0.886202 | + | 0.463298i | \(0.846666\pi\) | |||||||
\(992\) | 1.24377e10 | + | 2.04001e10i | 0.404528 | + | 0.663502i | ||||
\(993\) | −2.28145e10 | − | 9.21732e9i | −0.739415 | − | 0.298732i | ||||
\(994\) | −1.66315e9 | − | 3.45208e8i | −0.0537129 | − | 0.0111488i | ||||
\(995\) | 2.27580e10 | 0.732408 | ||||||||
\(996\) | −9.63682e9 | + | 9.48621e9i | −0.309048 | + | 0.304218i | ||||
\(997\) | −2.70495e10 | −0.864422 | −0.432211 | − | 0.901773i | \(-0.642266\pi\) | ||||
−0.432211 | + | 0.901773i | \(0.642266\pi\) | |||||||
\(998\) | 1.99078e10 | + | 4.13212e9i | 0.633966 | + | 0.131588i | ||||
\(999\) | 3.03023e10 | − | 1.34928e10i | 0.961605 | − | 0.428177i |
(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 | 12.8.b.b.11.5 | yes | 8 | |
3.2 | odd | 2 | inner | 12.8.b.b.11.4 | yes | 8 | |
4.3 | odd | 2 | inner | 12.8.b.b.11.3 | ✓ | 8 | |
8.3 | odd | 2 | 192.8.c.e.191.5 | 8 | |||
8.5 | even | 2 | 192.8.c.e.191.4 | 8 | |||
12.11 | even | 2 | inner | 12.8.b.b.11.6 | yes | 8 | |
24.5 | odd | 2 | 192.8.c.e.191.6 | 8 | |||
24.11 | even | 2 | 192.8.c.e.191.3 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.8.b.b.11.3 | ✓ | 8 | 4.3 | odd | 2 | inner | |
12.8.b.b.11.4 | yes | 8 | 3.2 | odd | 2 | inner | |
12.8.b.b.11.5 | yes | 8 | 1.1 | even | 1 | trivial | |
12.8.b.b.11.6 | yes | 8 | 12.11 | even | 2 | inner | |
192.8.c.e.191.3 | 8 | 24.11 | even | 2 | |||
192.8.c.e.191.4 | 8 | 8.5 | even | 2 | |||
192.8.c.e.191.5 | 8 | 8.3 | odd | 2 | |||
192.8.c.e.191.6 | 8 | 24.5 | odd | 2 |