Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [27,8,Mod(4,27)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(27, base_ring=CyclotomicField(18))
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("27.4");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 27 = 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 27.e (of order \(9\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.43439568807\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 7.6 | ||
Character | \(\chi\) | \(=\) | 27.7 |
Dual form | 27.8.e.a.4.6 |
$q$-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 \(\left(\mathbb{Z}/27\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{8}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9.62864 | + | 3.50454i | −0.851059 | + | 0.309760i | −0.730472 | − | 0.682943i | \(-0.760700\pi\) |
−0.120587 | + | 0.992703i | \(0.538478\pi\) | |||||||
\(3\) | 31.7200 | + | 34.3634i | 0.678280 | + | 0.734803i | ||||
\(4\) | −17.6248 | + | 14.7890i | −0.137694 | + | 0.115539i | ||||
\(5\) | 40.7285 | + | 230.983i | 0.145715 | + | 0.826389i | 0.966790 | + | 0.255570i | \(0.0822632\pi\) |
−0.821076 | + | 0.570819i | \(0.806626\pi\) | |||||||
\(6\) | −425.848 | − | 219.708i | −0.804870 | − | 0.415257i | ||||
\(7\) | 500.665 | + | 420.108i | 0.551702 | + | 0.462933i | 0.875517 | − | 0.483188i | \(-0.160521\pi\) |
−0.323815 | + | 0.946120i | \(0.604966\pi\) | |||||||
\(8\) | 773.656 | − | 1340.01i | 0.534236 | − | 0.925323i | ||||
\(9\) | −174.680 | + | 2180.01i | −0.0798718 | + | 0.996805i | ||||
\(10\) | −1201.65 | − | 2081.32i | −0.379994 | − | 0.658170i | ||||
\(11\) | −328.263 | + | 1861.67i | −0.0743614 | + | 0.421724i | 0.924788 | + | 0.380483i | \(0.124242\pi\) |
−0.999149 | + | 0.0412412i | \(0.986869\pi\) | |||||||
\(12\) | −1067.26 | − | 136.541i | −0.178294 | − | 0.0228102i | ||||
\(13\) | −13604.6 | − | 4951.67i | −1.71745 | − | 0.625101i | −0.719836 | − | 0.694144i | \(-0.755783\pi\) |
−0.997614 | + | 0.0690437i | \(0.978005\pi\) | |||||||
\(14\) | −6293.01 | − | 2290.47i | −0.612929 | − | 0.223088i | ||||
\(15\) | −6645.44 | + | 8726.35i | −0.508398 | + | 0.667595i | ||||
\(16\) | −2241.74 | + | 12713.6i | −0.136825 | + | 0.775974i | ||||
\(17\) | −7312.15 | − | 12665.0i | −0.360972 | − | 0.625222i | 0.627149 | − | 0.778899i | \(-0.284222\pi\) |
−0.988121 | + | 0.153677i | \(0.950888\pi\) | |||||||
\(18\) | −5958.01 | − | 21602.7i | −0.240795 | − | 0.873081i | ||||
\(19\) | −21696.6 | + | 37579.6i | −0.725696 | + | 1.25694i | 0.232992 | + | 0.972479i | \(0.425149\pi\) |
−0.958687 | + | 0.284463i | \(0.908185\pi\) | |||||||
\(20\) | −4133.84 | − | 3468.70i | −0.115544 | − | 0.0969531i | ||||
\(21\) | 1444.80 | + | 30530.4i | 0.0340439 | + | 0.719390i | ||||
\(22\) | −3363.57 | − | 19075.8i | −0.0673475 | − | 0.381947i | ||||
\(23\) | 61924.7 | − | 51961.0i | 1.06125 | − | 0.890492i | 0.0670161 | − | 0.997752i | \(-0.478652\pi\) |
0.994231 | + | 0.107260i | \(0.0342077\pi\) | |||||||
\(24\) | 70587.6 | − | 15919.8i | 1.04229 | − | 0.235070i | ||||
\(25\) | 21719.2 | − | 7905.14i | 0.278006 | − | 0.101186i | ||||
\(26\) | 148347. | 1.65528 | ||||||||
\(27\) | −80453.4 | + | 63147.5i | −0.786631 | + | 0.617423i | ||||
\(28\) | −15037.1 | −0.129453 | ||||||||
\(29\) | 85205.2 | − | 31012.1i | 0.648743 | − | 0.236123i | 0.00337448 | − | 0.999994i | \(-0.498926\pi\) |
0.645369 | + | 0.763871i | \(0.276704\pi\) | |||||||
\(30\) | 33404.7 | − | 107312.i | 0.225883 | − | 0.725645i | ||||
\(31\) | −114762. | + | 96296.5i | −0.691881 | + | 0.580557i | −0.919451 | − | 0.393205i | \(-0.871366\pi\) |
0.227570 | + | 0.973762i | \(0.426922\pi\) | |||||||
\(32\) | 11421.8 | + | 64776.5i | 0.0616185 | + | 0.349456i | ||||
\(33\) | −74385.8 | + | 47772.1i | −0.360322 | + | 0.231406i | ||||
\(34\) | 114791. | + | 96321.1i | 0.500878 | + | 0.420286i | ||||
\(35\) | −76646.4 | + | 132756.i | −0.302172 | + | 0.523377i | ||||
\(36\) | −29161.5 | − | 41005.7i | −0.104172 | − | 0.146482i | ||||
\(37\) | 40221.7 | + | 69666.1i | 0.130543 | + | 0.226108i | 0.923886 | − | 0.382667i | \(-0.124995\pi\) |
−0.793343 | + | 0.608775i | \(0.791661\pi\) | |||||||
\(38\) | 77209.6 | − | 437877.i | 0.228259 | − | 1.29452i | ||||
\(39\) | −261382. | − | 624567.i | −0.705586 | − | 1.68598i | ||||
\(40\) | 341029. | + | 124125.i | 0.842523 | + | 0.306653i | ||||
\(41\) | 181176. | + | 65942.8i | 0.410543 | + | 0.149425i | 0.539031 | − | 0.842286i | \(-0.318790\pi\) |
−0.128489 | + | 0.991711i | \(0.541013\pi\) | |||||||
\(42\) | −120906. | − | 288903.i | −0.251812 | − | 0.601698i | ||||
\(43\) | −86932.1 | + | 493016.i | −0.166740 | + | 0.945631i | 0.780512 | + | 0.625141i | \(0.214959\pi\) |
−0.947252 | + | 0.320490i | \(0.896152\pi\) | |||||||
\(44\) | −21746.7 | − | 37666.3i | −0.0384865 | − | 0.0666606i | ||||
\(45\) | −510660. | + | 48440.7i | −0.835388 | + | 0.0792440i | ||||
\(46\) | −414151. | + | 717331.i | −0.627345 | + | 1.08659i | ||||
\(47\) | 615804. | + | 516721.i | 0.865167 | + | 0.725962i | 0.963075 | − | 0.269234i | \(-0.0867705\pi\) |
−0.0979075 | + | 0.995196i | \(0.531215\pi\) | |||||||
\(48\) | −507988. | + | 326240.i | −0.662994 | + | 0.425788i | ||||
\(49\) | −68831.8 | − | 390364.i | −0.0835801 | − | 0.474006i | ||||
\(50\) | −181422. | + | 152232.i | −0.205256 | + | 0.172230i | ||||
\(51\) | 203271. | − | 653004.i | 0.214575 | − | 0.689319i | ||||
\(52\) | 313009. | − | 113926.i | 0.308706 | − | 0.112360i | ||||
\(53\) | −1.14077e6 | −1.05253 | −0.526264 | − | 0.850321i | \(-0.676408\pi\) | ||||
−0.526264 | + | 0.850321i | \(0.676408\pi\) | |||||||
\(54\) | 553354. | − | 889976.i | 0.478217 | − | 0.769131i | ||||
\(55\) | −443384. | −0.359344 | ||||||||
\(56\) | 950292. | − | 345878.i | 0.723101 | − | 0.263187i | ||||
\(57\) | −1.97958e6 | + | 446459.i | −1.41583 | + | 0.319315i | ||||
\(58\) | −711726. | + | 597209.i | −0.478977 | + | 0.401910i | ||||
\(59\) | 299570. | + | 1.69894e6i | 0.189896 | + | 1.07695i | 0.919502 | + | 0.393086i | \(0.128592\pi\) |
−0.729606 | + | 0.683868i | \(0.760296\pi\) | |||||||
\(60\) | −11929.2 | − | 252080.i | −0.00712990 | − | 0.150664i | ||||
\(61\) | 1.71084e6 | + | 1.43556e6i | 0.965061 | + | 0.809782i | 0.981769 | − | 0.190078i | \(-0.0608742\pi\) |
−0.0167084 | + | 0.999860i | \(0.505319\pi\) | |||||||
\(62\) | 767524. | − | 1.32939e6i | 0.408998 | − | 0.708405i | ||||
\(63\) | −1.00330e6 | + | 1.01807e6i | −0.505519 | + | 0.512964i | ||||
\(64\) | −1.16321e6 | − | 2.01474e6i | −0.554661 | − | 0.960701i | ||||
\(65\) | 589656. | − | 3.34410e6i | 0.266319 | − | 1.51037i | ||||
\(66\) | 548815. | − | 720668.i | 0.234975 | − | 0.308554i | ||||
\(67\) | −117367. | − | 42717.9i | −0.0476741 | − | 0.0173520i | 0.318073 | − | 0.948066i | \(-0.396964\pi\) |
−0.365747 | + | 0.930714i | \(0.619186\pi\) | |||||||
\(68\) | 316178. | + | 115079.i | 0.121941 | + | 0.0443830i | ||||
\(69\) | 3.74981e6 | + | 479736.i | 1.37416 | + | 0.175805i | ||||
\(70\) | 272754. | − | 1.54686e6i | 0.0950447 | − | 0.539025i | ||||
\(71\) | 850034. | + | 1.47230e6i | 0.281859 | + | 0.488194i | 0.971843 | − | 0.235631i | \(-0.0757156\pi\) |
−0.689984 | + | 0.723825i | \(0.742382\pi\) | |||||||
\(72\) | 2.78610e6 | + | 1.92065e6i | 0.879696 | + | 0.606436i | ||||
\(73\) | −868776. | + | 1.50476e6i | −0.261383 | + | 0.452729i | −0.966610 | − | 0.256253i | \(-0.917512\pi\) |
0.705226 | + | 0.708982i | \(0.250845\pi\) | |||||||
\(74\) | −631428. | − | 529831.i | −0.181139 | − | 0.151994i | ||||
\(75\) | 960581. | + | 495593.i | 0.262918 | + | 0.135647i | ||||
\(76\) | −173366. | − | 983206.i | −0.0453018 | − | 0.256919i | ||||
\(77\) | −946453. | + | 794169.i | −0.236255 | + | 0.198242i | ||||
\(78\) | 4.70557e6 | + | 5.09770e6i | 1.12275 | + | 1.21631i | ||||
\(79\) | 2.67970e6 | − | 975329.i | 0.611492 | − | 0.222565i | −0.0176641 | − | 0.999844i | \(-0.505623\pi\) |
0.629156 | + | 0.777279i | \(0.283401\pi\) | |||||||
\(80\) | −3.02792e6 | −0.661194 | ||||||||
\(81\) | −4.72194e6 | − | 761608.i | −0.987241 | − | 0.159233i | ||||
\(82\) | −1.97558e6 | −0.395682 | ||||||||
\(83\) | 2.05276e6 | − | 747144.i | 0.394062 | − | 0.143427i | −0.137386 | − | 0.990518i | \(-0.543870\pi\) |
0.531449 | + | 0.847091i | \(0.321648\pi\) | |||||||
\(84\) | −476978. | − | 516726.i | −0.0878053 | − | 0.0951223i | ||||
\(85\) | 2.62759e6 | − | 2.20481e6i | 0.464078 | − | 0.389408i | ||||
\(86\) | −890757. | − | 5.05173e6i | −0.151013 | − | 0.856438i | ||||
\(87\) | 3.76839e6 | + | 1.94423e6i | 0.613534 | + | 0.316541i | ||||
\(88\) | 2.24070e6 | + | 1.88017e6i | 0.350505 | + | 0.294108i | ||||
\(89\) | −5.87690e6 | + | 1.01791e7i | −0.883656 | + | 1.53054i | −0.0364102 | + | 0.999337i | \(0.511592\pi\) |
−0.847246 | + | 0.531201i | \(0.821741\pi\) | |||||||
\(90\) | 4.74720e6 | − | 2.25604e6i | 0.686418 | − | 0.326211i | ||||
\(91\) | −4.73111e6 | − | 8.19453e6i | −0.658140 | − | 1.13993i | ||||
\(92\) | −322962. | + | 1.83161e6i | −0.0432408 | + | 0.245231i | ||||
\(93\) | −6.94932e6 | − | 889069.i | −0.895884 | − | 0.114616i | ||||
\(94\) | −7.74022e6 | − | 2.81721e6i | −0.961183 | − | 0.349842i | ||||
\(95\) | −9.56393e6 | − | 3.48098e6i | −1.14447 | − | 0.416552i | ||||
\(96\) | −1.86364e6 | + | 2.44720e6i | −0.214987 | + | 0.282307i | ||||
\(97\) | 1.94881e6 | − | 1.10522e7i | 0.216804 | − | 1.22956i | −0.660943 | − | 0.750436i | \(-0.729844\pi\) |
0.877748 | − | 0.479123i | \(-0.159045\pi\) | |||||||
\(98\) | 2.03080e6 | + | 3.51745e6i | 0.217960 | + | 0.377517i | ||||
\(99\) | −4.00113e6 | − | 1.04081e6i | −0.414438 | − | 0.107808i | ||||
\(100\) | −265888. | + | 460532.i | −0.0265888 | + | 0.0460532i | ||||
\(101\) | −5.41482e6 | − | 4.54357e6i | −0.522949 | − | 0.438806i | 0.342709 | − | 0.939441i | \(-0.388655\pi\) |
−0.865658 | + | 0.500635i | \(0.833100\pi\) | |||||||
\(102\) | 331259. | + | 6.99991e6i | 0.0309077 | + | 0.653118i | ||||
\(103\) | 2.04951e6 | + | 1.16234e7i | 0.184808 | + | 1.04810i | 0.926202 | + | 0.377028i | \(0.123054\pi\) |
−0.741394 | + | 0.671070i | \(0.765835\pi\) | |||||||
\(104\) | −1.71606e7 | + | 1.43994e7i | −1.49594 | + | 1.25524i | ||||
\(105\) | −6.99315e6 | + | 1.57718e6i | −0.589536 | + | 0.132959i | ||||
\(106\) | 1.09841e7 | − | 3.99788e6i | 0.895764 | − | 0.326032i | ||||
\(107\) | 1.36780e7 | 1.07940 | 0.539698 | − | 0.841859i | \(-0.318539\pi\) | ||||
0.539698 | + | 0.841859i | \(0.318539\pi\) | |||||||
\(108\) | 484090. | − | 2.30279e6i | 0.0369779 | − | 0.175902i | ||||
\(109\) | 6.11021e6 | 0.451922 | 0.225961 | − | 0.974136i | \(-0.427448\pi\) | ||||
0.225961 | + | 0.974136i | \(0.427448\pi\) | |||||||
\(110\) | 4.26918e6 | − | 1.55386e6i | 0.305823 | − | 0.111311i | ||||
\(111\) | −1.11813e6 | + | 3.59196e6i | −0.0775997 | + | 0.249288i | ||||
\(112\) | −6.46343e6 | + | 5.42346e6i | −0.434710 | + | 0.364765i | ||||
\(113\) | 316170. | + | 1.79309e6i | 0.0206132 | + | 0.116904i | 0.993378 | − | 0.114890i | \(-0.0366516\pi\) |
−0.972765 | + | 0.231794i | \(0.925541\pi\) | |||||||
\(114\) | 1.74960e7 | − | 1.12363e7i | 1.10604 | − | 0.710324i | ||||
\(115\) | 1.45242e7 | + | 1.21873e7i | 0.890533 | + | 0.747246i | ||||
\(116\) | −1.04309e6 | + | 1.80668e6i | −0.0620466 | + | 0.107468i | ||||
\(117\) | 1.31711e7 | − | 2.87932e7i | 0.760279 | − | 1.66203i | ||||
\(118\) | −8.83846e6 | − | 1.53087e7i | −0.495210 | − | 0.857729i | ||||
\(119\) | 1.65974e6 | − | 9.41283e6i | 0.0902868 | − | 0.512042i | ||||
\(120\) | 6.55213e6 | + | 1.56561e7i | 0.346137 | + | 0.827086i | ||||
\(121\) | 1.49539e7 | + | 5.44277e6i | 0.767371 | + | 0.279300i | ||||
\(122\) | −2.15040e7 | − | 7.82683e6i | −1.07216 | − | 0.390235i | ||||
\(123\) | 3.48091e6 | + | 8.31754e6i | 0.168665 | + | 0.403020i | ||||
\(124\) | 598528. | − | 3.39442e6i | 0.0281909 | − | 0.159878i | ||||
\(125\) | 1.18725e7 | + | 2.05638e7i | 0.543697 | + | 0.941712i | ||||
\(126\) | 6.09251e6 | − | 1.33187e7i | 0.271331 | − | 0.593152i | ||||
\(127\) | 1.66734e7 | − | 2.88791e7i | 0.722288 | − | 1.25104i | −0.237792 | − | 0.971316i | \(-0.576424\pi\) |
0.960080 | − | 0.279724i | \(-0.0902430\pi\) | |||||||
\(128\) | 1.18113e7 | + | 9.91083e6i | 0.497808 | + | 0.417710i | ||||
\(129\) | −1.96992e7 | + | 1.26512e7i | −0.807950 | + | 0.518882i | ||||
\(130\) | 6.04195e6 | + | 3.42656e7i | 0.241199 | + | 1.36791i | ||||
\(131\) | 3.80495e7 | − | 3.19273e7i | 1.47877 | − | 1.24083i | 0.571275 | − | 0.820759i | \(-0.306449\pi\) |
0.907491 | − | 0.420072i | \(-0.137995\pi\) | |||||||
\(132\) | 604536. | − | 1.94207e6i | 0.0228778 | − | 0.0734945i | ||||
\(133\) | −2.66503e7 | + | 9.69990e6i | −0.982247 | + | 0.357509i | ||||
\(134\) | 1.27979e6 | 0.0459484 | ||||||||
\(135\) | −1.78627e7 | − | 1.60115e7i | −0.624856 | − | 0.560096i | ||||
\(136\) | −2.26283e7 | −0.771377 | ||||||||
\(137\) | 3.63910e7 | − | 1.32452e7i | 1.20913 | − | 0.440086i | 0.342726 | − | 0.939435i | \(-0.388650\pi\) |
0.866401 | + | 0.499349i | \(0.166428\pi\) | |||||||
\(138\) | −3.77868e7 | + | 8.52214e6i | −1.22395 | + | 0.276040i | ||||
\(139\) | −4.58471e7 | + | 3.84703e7i | −1.44797 | + | 1.21499i | −0.513930 | + | 0.857832i | \(0.671811\pi\) |
−0.934043 | + | 0.357162i | \(0.883744\pi\) | |||||||
\(140\) | −612439. | − | 3.47332e6i | −0.0188632 | − | 0.106978i | ||||
\(141\) | 1.77706e6 | + | 3.75515e7i | 0.0533869 | + | 1.12813i | ||||
\(142\) | −1.33444e7 | − | 1.11973e7i | −0.391102 | − | 0.328173i | ||||
\(143\) | 1.36843e7 | − | 2.37018e7i | 0.391332 | − | 0.677807i | ||||
\(144\) | −2.73241e7 | − | 7.10783e6i | −0.762566 | − | 0.198366i | ||||
\(145\) | 1.06336e7 | + | 1.84179e7i | 0.289661 | + | 0.501708i | ||||
\(146\) | 3.09163e6 | − | 1.75335e7i | 0.0822152 | − | 0.466266i | ||||
\(147\) | 1.12309e7 | − | 1.47477e7i | 0.291611 | − | 0.382924i | ||||
\(148\) | −1.73919e6 | − | 633014.i | −0.0440993 | − | 0.0160508i | ||||
\(149\) | −3.49514e7 | − | 1.27213e7i | −0.865591 | − | 0.315049i | −0.129210 | − | 0.991617i | \(-0.541244\pi\) |
−0.736380 | + | 0.676568i | \(0.763467\pi\) | |||||||
\(150\) | −1.09859e7 | − | 1.40550e6i | −0.265777 | − | 0.0340024i | ||||
\(151\) | 4.67429e6 | − | 2.65092e7i | 0.110483 | − | 0.626582i | −0.878404 | − | 0.477918i | \(-0.841392\pi\) |
0.988888 | − | 0.148664i | \(-0.0474973\pi\) | |||||||
\(152\) | 3.35714e7 | + | 5.81474e7i | 0.775385 | + | 1.34301i | ||||
\(153\) | 2.88872e7 | − | 1.37283e7i | 0.652056 | − | 0.309881i | ||||
\(154\) | 6.32986e6 | − | 1.09636e7i | 0.139660 | − | 0.241898i | ||||
\(155\) | −2.69169e7 | − | 2.25860e7i | −0.580583 | − | 0.487167i | ||||
\(156\) | 1.38435e7 | + | 7.14230e6i | 0.291951 | + | 0.150627i | ||||
\(157\) | 9.19247e6 | + | 5.21331e7i | 0.189576 | + | 1.07514i | 0.919934 | + | 0.392074i | \(0.128242\pi\) |
−0.730358 | + | 0.683065i | \(0.760647\pi\) | |||||||
\(158\) | −2.23837e7 | + | 1.87822e7i | −0.451474 | + | 0.378832i | ||||
\(159\) | −3.61854e7 | − | 3.92008e7i | −0.713909 | − | 0.773402i | ||||
\(160\) | −1.44971e7 | + | 5.27650e6i | −0.279808 | + | 0.101842i | ||||
\(161\) | 5.28328e7 | 0.997730 | ||||||||
\(162\) | 4.81350e7 | − | 9.21498e6i | 0.889525 | − | 0.170291i | ||||
\(163\) | −7.24867e7 | −1.31100 | −0.655499 | − | 0.755196i | \(-0.727541\pi\) | ||||
−0.655499 | + | 0.755196i | \(0.727541\pi\) | |||||||
\(164\) | −4.16843e6 | + | 1.51719e6i | −0.0737937 | + | 0.0268587i | ||||
\(165\) | −1.40642e7 | − | 1.52362e7i | −0.243736 | − | 0.264047i | ||||
\(166\) | −1.71469e7 | + | 1.43880e7i | −0.290943 | + | 0.244130i | ||||
\(167\) | −9.57358e6 | − | 5.42945e7i | −0.159062 | − | 0.902086i | −0.954978 | − | 0.296678i | \(-0.904121\pi\) |
0.795916 | − | 0.605408i | \(-0.206990\pi\) | |||||||
\(168\) | 4.20288e7 | + | 2.16840e7i | 0.683856 | + | 0.352822i | ||||
\(169\) | 1.12498e8 | + | 9.43970e7i | 1.79284 | + | 1.50437i | ||||
\(170\) | −1.75733e7 | + | 3.04378e7i | −0.274335 | + | 0.475162i | ||||
\(171\) | −7.81342e7 | − | 5.38633e7i | −1.19496 | − | 0.823771i | ||||
\(172\) | −5.75905e6 | − | 9.97497e6i | −0.0862981 | − | 0.149473i | ||||
\(173\) | −45494.7 | + | 258013.i | −0.000668036 | + | 0.00378862i | −0.985140 | − | 0.171754i | \(-0.945057\pi\) |
0.984472 | + | 0.175542i | \(0.0561678\pi\) | |||||||
\(174\) | −4.30981e7 | − | 5.51381e6i | −0.620206 | − | 0.0793467i | ||||
\(175\) | 1.41951e7 | + | 5.16658e6i | 0.200219 | + | 0.0728736i | ||||
\(176\) | −2.29326e7 | − | 8.34678e6i | −0.317073 | − | 0.115405i | ||||
\(177\) | −4.88791e7 | + | 6.41848e7i | −0.662547 | + | 0.870013i | ||||
\(178\) | 2.09135e7 | − | 1.18607e8i | 0.277944 | − | 1.57630i | ||||
\(179\) | −1.97153e7 | − | 3.41478e7i | −0.256931 | − | 0.445018i | 0.708487 | − | 0.705724i | \(-0.249378\pi\) |
−0.965418 | + | 0.260706i | \(0.916045\pi\) | |||||||
\(180\) | 8.28391e6 | − | 8.40590e6i | 0.105872 | − | 0.107431i | ||||
\(181\) | −3.34406e7 | + | 5.79208e7i | −0.419178 | + | 0.726038i | −0.995857 | − | 0.0909330i | \(-0.971015\pi\) |
0.576679 | + | 0.816971i | \(0.304348\pi\) | |||||||
\(182\) | 7.42722e7 | + | 6.23218e7i | 0.913222 | + | 0.766285i | ||||
\(183\) | 4.93706e6 | + | 1.04326e8i | 0.0595510 | + | 1.25839i | ||||
\(184\) | −2.17199e7 | − | 1.23180e8i | −0.257037 | − | 1.45773i | ||||
\(185\) | −1.44535e7 | + | 1.21279e7i | −0.167831 | + | 0.140827i | ||||
\(186\) | 7.00282e7 | − | 1.57936e7i | 0.797954 | − | 0.179964i | ||||
\(187\) | 2.59784e7 | − | 9.45537e6i | 0.290514 | − | 0.105738i | ||||
\(188\) | −1.84952e7 | −0.203005 | ||||||||
\(189\) | −6.68090e7 | − | 2.18336e6i | −0.719811 | − | 0.0235239i | ||||
\(190\) | 1.04287e8 | 1.10304 | ||||||||
\(191\) | −4.44089e7 | + | 1.61635e7i | −0.461161 | + | 0.167849i | −0.562144 | − | 0.827039i | \(-0.690023\pi\) |
0.100983 | + | 0.994888i | \(0.467801\pi\) | |||||||
\(192\) | 3.23361e7 | − | 1.03879e8i | 0.329711 | − | 1.05919i | ||||
\(193\) | 4.78792e7 | − | 4.01754e7i | 0.479398 | − | 0.402263i | −0.370811 | − | 0.928709i | \(-0.620920\pi\) |
0.850209 | + | 0.526446i | \(0.176476\pi\) | |||||||
\(194\) | 1.99686e7 | + | 1.13248e8i | 0.196355 | + | 1.11359i | ||||
\(195\) | 1.33618e8 | − | 8.58125e7i | 1.29046 | − | 0.828761i | ||||
\(196\) | 6.98624e6 | + | 5.86215e6i | 0.0662746 | + | 0.0556110i | ||||
\(197\) | −4.50661e7 | + | 7.80567e7i | −0.419970 | + | 0.727409i | −0.995936 | − | 0.0900647i | \(-0.971293\pi\) |
0.575966 | + | 0.817473i | \(0.304626\pi\) | |||||||
\(198\) | 4.21730e7 | − | 4.00048e6i | 0.386106 | − | 0.0366256i | ||||
\(199\) | −4.99770e6 | − | 8.65627e6i | −0.0449557 | − | 0.0778655i | 0.842672 | − | 0.538427i | \(-0.180981\pi\) |
−0.887628 | + | 0.460562i | \(0.847648\pi\) | |||||||
\(200\) | 6.21021e6 | − | 3.52198e7i | 0.0548910 | − | 0.311302i | ||||
\(201\) | −2.25494e6 | − | 5.38812e6i | −0.0195861 | − | 0.0468006i | ||||
\(202\) | 6.80605e7 | + | 2.47720e7i | 0.580985 | + | 0.211461i | ||||
\(203\) | 5.56877e7 | + | 2.02687e7i | 0.467222 | + | 0.170055i | ||||
\(204\) | 6.07466e6 | + | 1.45153e7i | 0.0500976 | + | 0.119707i | ||||
\(205\) | −7.85262e6 | + | 4.45344e7i | −0.0636614 | + | 0.361042i | ||||
\(206\) | −6.04685e7 | − | 1.04735e8i | −0.481941 | − | 0.834747i | ||||
\(207\) | 1.02459e8 | + | 1.44073e8i | 0.802883 | + | 1.12898i | ||||
\(208\) | 9.34513e7 | − | 1.61862e8i | 0.720052 | − | 1.24717i | ||||
\(209\) | −6.28388e7 | − | 5.27280e7i | −0.476119 | − | 0.399511i | ||||
\(210\) | 6.18072e7 | − | 3.96939e7i | 0.460545 | − | 0.295771i | ||||
\(211\) | −1.34821e7 | − | 7.64607e7i | −0.0988026 | − | 0.560337i | −0.993516 | − | 0.113696i | \(-0.963731\pi\) |
0.894713 | − | 0.446641i | \(-0.147380\pi\) | |||||||
\(212\) | 2.01059e7 | − | 1.68709e7i | 0.144927 | − | 0.121608i | ||||
\(213\) | −2.36301e7 | + | 7.59115e7i | −0.167547 | + | 0.538243i | ||||
\(214\) | −1.31701e8 | + | 4.79352e7i | −0.918629 | + | 0.334354i | ||||
\(215\) | −1.17419e8 | −0.805756 | ||||||||
\(216\) | 2.23751e7 | + | 1.56663e8i | 0.151070 | + | 1.05774i | ||||
\(217\) | −9.79122e7 | −0.650471 | ||||||||
\(218\) | −5.88330e7 | + | 2.14135e7i | −0.384612 | + | 0.139987i | ||||
\(219\) | −7.92664e7 | + | 1.78771e7i | −0.509958 | + | 0.115012i | ||||
\(220\) | 7.81457e6 | − | 6.55720e6i | 0.0494795 | − | 0.0415183i | ||||
\(221\) | 3.67659e7 | + | 2.08510e8i | 0.229125 | + | 1.29943i | ||||
\(222\) | −1.82214e6 | − | 3.85042e7i | −0.0111776 | − | 0.236196i | ||||
\(223\) | 7.52079e7 | + | 6.31069e7i | 0.454147 | + | 0.381075i | 0.840972 | − | 0.541078i | \(-0.181984\pi\) |
−0.386825 | + | 0.922153i | \(0.626428\pi\) | |||||||
\(224\) | −2.14946e7 | + | 3.72298e7i | −0.127780 | + | 0.221321i | ||||
\(225\) | 1.34394e7 | + | 4.87290e7i | 0.0786577 | + | 0.285200i | ||||
\(226\) | −9.32824e6 | − | 1.61570e7i | −0.0537552 | − | 0.0931067i | ||||
\(227\) | 2.17289e7 | − | 1.23231e8i | 0.123296 | − | 0.699245i | −0.859010 | − | 0.511959i | \(-0.828920\pi\) |
0.982305 | − | 0.187286i | \(-0.0599690\pi\) | |||||||
\(228\) | 2.82871e7 | − | 3.71447e7i | 0.158058 | − | 0.207551i | ||||
\(229\) | −3.17049e8 | − | 1.15396e8i | −1.74462 | − | 0.634991i | −0.745134 | − | 0.666915i | \(-0.767614\pi\) |
−0.999490 | + | 0.0319238i | \(0.989837\pi\) | |||||||
\(230\) | −1.82559e8 | − | 6.64460e7i | −0.989363 | − | 0.360099i | ||||
\(231\) | −5.73118e7 | − | 7.33226e6i | −0.305916 | − | 0.0391377i | ||||
\(232\) | 2.43629e7 | − | 1.38169e8i | 0.128091 | − | 0.726443i | ||||
\(233\) | −9.13771e7 | − | 1.58270e8i | −0.473251 | − | 0.819695i | 0.526280 | − | 0.850311i | \(-0.323586\pi\) |
−0.999531 | + | 0.0306162i | \(0.990253\pi\) | |||||||
\(234\) | −2.59132e7 | + | 3.23398e8i | −0.132210 | + | 1.64999i | ||||
\(235\) | −9.42729e7 | + | 1.63285e8i | −0.473859 | + | 0.820748i | ||||
\(236\) | −3.04055e7 | − | 2.55133e7i | −0.150578 | − | 0.126350i | ||||
\(237\) | 1.18516e8 | + | 6.11458e7i | 0.578304 | + | 0.298365i | ||||
\(238\) | 1.70066e7 | + | 9.64493e7i | 0.0817708 | + | 0.463745i | ||||
\(239\) | 1.94053e8 | − | 1.62830e8i | 0.919449 | − | 0.771510i | −0.0544437 | − | 0.998517i | \(-0.517339\pi\) |
0.973893 | + | 0.227007i | \(0.0728941\pi\) | |||||||
\(240\) | −9.60456e7 | − | 1.04049e8i | −0.448475 | − | 0.485848i | ||||
\(241\) | −2.05548e8 | + | 7.48132e7i | −0.945916 | + | 0.344285i | −0.768499 | − | 0.639851i | \(-0.778996\pi\) |
−0.177417 | + | 0.984136i | \(0.556774\pi\) | |||||||
\(242\) | −1.63060e8 | −0.739594 | ||||||||
\(243\) | −1.23609e8 | − | 1.86420e8i | −0.552621 | − | 0.833433i | ||||
\(244\) | −5.13838e7 | −0.226444 | ||||||||
\(245\) | 8.73641e7 | − | 3.17979e7i | 0.379535 | − | 0.138139i | ||||
\(246\) | −6.26655e7 | − | 6.78876e7i | −0.268383 | − | 0.290749i | ||||
\(247\) | 4.81256e8 | − | 4.03822e8i | 2.03206 | − | 1.70510i | ||||
\(248\) | 4.02523e7 | + | 2.28282e8i | 0.167575 | + | 0.950367i | ||||
\(249\) | 9.07880e7 | + | 4.68403e7i | 0.372675 | + | 0.192275i | ||||
\(250\) | −1.86383e8 | − | 1.56394e8i | −0.754424 | − | 0.633036i | ||||
\(251\) | 1.19420e8 | − | 2.06842e8i | 0.476673 | − | 0.825622i | −0.522969 | − | 0.852351i | \(-0.675176\pi\) |
0.999643 | + | 0.0267291i | \(0.00850915\pi\) | |||||||
\(252\) | 2.62668e6 | − | 3.27811e7i | 0.0103396 | − | 0.129039i | ||||
\(253\) | 7.64067e7 | + | 1.32340e8i | 0.296626 | + | 0.513772i | ||||
\(254\) | −5.93339e7 | + | 3.36499e8i | −0.227188 | + | 1.28845i | ||||
\(255\) | 1.59112e8 | + | 2.03562e7i | 0.600913 | + | 0.0768785i | ||||
\(256\) | 1.31364e8 | + | 4.78124e7i | 0.489368 | + | 0.178115i | ||||
\(257\) | 1.34696e8 | + | 4.90255e7i | 0.494983 | + | 0.180159i | 0.577436 | − | 0.816436i | \(-0.304053\pi\) |
−0.0824534 | + | 0.996595i | \(0.526276\pi\) | |||||||
\(258\) | 1.45340e8 | − | 1.90851e8i | 0.526884 | − | 0.691870i | ||||
\(259\) | −9.12966e6 | + | 5.17769e7i | −0.0326517 | + | 0.185177i | ||||
\(260\) | 3.90633e7 | + | 6.76597e7i | 0.137836 | + | 0.238739i | ||||
\(261\) | 5.27233e7 | + | 1.91166e8i | 0.183553 | + | 0.665530i | ||||
\(262\) | −2.54474e8 | + | 4.40762e8i | −0.874157 | + | 1.51408i | ||||
\(263\) | 7.33625e7 | + | 6.15585e7i | 0.248673 | + | 0.208662i | 0.758601 | − | 0.651556i | \(-0.225883\pi\) |
−0.509927 | + | 0.860217i | \(0.670328\pi\) | |||||||
\(264\) | 6.46610e6 | + | 1.36637e8i | 0.0216286 | + | 0.457040i | ||||
\(265\) | −4.64620e7 | − | 2.63499e8i | −0.153369 | − | 0.869799i | ||||
\(266\) | 2.22612e8 | − | 1.86794e8i | 0.725208 | − | 0.608522i | ||||
\(267\) | −5.36203e8 | + | 1.20931e8i | −1.72401 | + | 0.388820i | ||||
\(268\) | 2.70032e6 | − | 982836.i | 0.00856926 | − | 0.00311896i | ||||
\(269\) | 6.32296e7 | 0.198056 | 0.0990279 | − | 0.995085i | \(-0.468427\pi\) | ||||
0.0990279 | + | 0.995085i | \(0.468427\pi\) | |||||||
\(270\) | 2.28107e8 | + | 9.15678e7i | 0.705285 | + | 0.283119i | ||||
\(271\) | 5.76999e8 | 1.76109 | 0.880547 | − | 0.473959i | \(-0.157176\pi\) | ||||
0.880547 | + | 0.473959i | \(0.157176\pi\) | |||||||
\(272\) | 1.77409e8 | − | 6.45717e7i | 0.534546 | − | 0.194559i | ||||
\(273\) | 1.31520e8 | − | 4.22508e8i | 0.391223 | − | 1.25680i | ||||
\(274\) | −3.03977e8 | + | 2.55067e8i | −0.892717 | + | 0.749079i | ||||
\(275\) | 7.58717e6 | + | 4.30290e7i | 0.0219996 | + | 0.124766i | ||||
\(276\) | −7.31845e7 | + | 4.70006e7i | −0.209526 | + | 0.134562i | ||||
\(277\) | 3.72124e8 | + | 3.12249e8i | 1.05198 | + | 0.882719i | 0.993301 | − | 0.115558i | \(-0.0368655\pi\) |
0.0586828 | + | 0.998277i | \(0.481310\pi\) | |||||||
\(278\) | 3.06625e8 | − | 5.31090e8i | 0.855954 | − | 1.48256i | ||||
\(279\) | −1.89881e8 | − | 2.67003e8i | −0.523440 | − | 0.736040i | ||||
\(280\) | 1.18596e8 | + | 2.05414e8i | 0.322862 | + | 0.559213i | ||||
\(281\) | −8.79465e7 | + | 4.98770e8i | −0.236454 | + | 1.34100i | 0.603076 | + | 0.797684i | \(0.293942\pi\) |
−0.839530 | + | 0.543313i | \(0.817170\pi\) | |||||||
\(282\) | −1.48711e8 | − | 3.55342e8i | −0.394886 | − | 0.943571i | ||||
\(283\) | 7.72926e7 | + | 2.81322e7i | 0.202715 | + | 0.0737821i | 0.441382 | − | 0.897319i | \(-0.354488\pi\) |
−0.238667 | + | 0.971101i | \(0.576711\pi\) | |||||||
\(284\) | −3.67556e7 | − | 1.33779e7i | −0.0952158 | − | 0.0346557i | ||||
\(285\) | −1.83750e8 | − | 4.39065e8i | −0.470186 | − | 1.12350i | ||||
\(286\) | −4.86968e7 | + | 2.76173e8i | −0.123089 | + | 0.698073i | ||||
\(287\) | 6.30057e7 | + | 1.09129e8i | 0.157323 | + | 0.272492i | ||||
\(288\) | −1.43209e8 | + | 1.35846e7i | −0.353261 | + | 0.0335100i | ||||
\(289\) | 9.82343e7 | − | 1.70147e8i | 0.239398 | − | 0.414650i | ||||
\(290\) | −1.66933e8 | − | 1.40073e8i | −0.401928 | − | 0.337258i | ||||
\(291\) | 4.41608e8 | − | 2.83610e8i | 1.05054 | − | 0.674677i | ||||
\(292\) | −6.94191e6 | − | 3.93696e7i | −0.0163170 | − | 0.0925381i | ||||
\(293\) | 5.79154e8 | − | 4.85968e8i | 1.34511 | − | 1.12868i | 0.364828 | − | 0.931075i | \(-0.381128\pi\) |
0.980282 | − | 0.197606i | \(-0.0633167\pi\) | |||||||
\(294\) | −5.64544e7 | + | 1.81359e8i | −0.129563 | + | 0.416220i | ||||
\(295\) | −3.80226e8 | + | 1.38391e8i | −0.862313 | + | 0.313856i | ||||
\(296\) | 1.24471e8 | 0.278963 | ||||||||
\(297\) | −9.11500e7 | − | 1.70507e8i | −0.201887 | − | 0.377654i | ||||
\(298\) | 3.81116e8 | 0.834259 | ||||||||
\(299\) | −1.09975e9 | + | 4.00278e8i | −2.37929 | + | 0.865989i | ||||
\(300\) | −2.42594e7 | + | 5.47128e6i | −0.0518747 | + | 0.0116994i | ||||
\(301\) | −2.50644e8 | + | 2.10315e8i | −0.529755 | + | 0.444517i | ||||
\(302\) | 4.78955e7 | + | 2.71629e8i | 0.100062 | + | 0.567482i | ||||
\(303\) | −1.56258e7 | − | 3.30194e8i | −0.0322696 | − | 0.681898i | ||||
\(304\) | −4.29133e8 | − | 3.60085e8i | −0.876060 | − | 0.735102i | ||||
\(305\) | −2.61911e8 | + | 4.53643e8i | −0.528572 | + | 0.915513i | ||||
\(306\) | −2.30033e8 | + | 2.33421e8i | −0.458950 | + | 0.465708i | ||||
\(307\) | −2.39067e7 | − | 4.14077e7i | −0.0471559 | − | 0.0816764i | 0.841484 | − | 0.540282i | \(-0.181682\pi\) |
−0.888640 | + | 0.458606i | \(0.848349\pi\) | |||||||
\(308\) | 4.93613e6 | − | 2.79942e7i | 0.00962629 | − | 0.0545934i | ||||
\(309\) | −3.34407e8 | + | 4.39122e8i | −0.644794 | + | 0.846701i | ||||
\(310\) | 3.38327e8 | + | 1.23141e8i | 0.645016 | + | 0.234767i | ||||
\(311\) | 2.06722e7 | + | 7.52407e6i | 0.0389696 | + | 0.0141838i | 0.361431 | − | 0.932399i | \(-0.382288\pi\) |
−0.322462 | + | 0.946582i | \(0.604510\pi\) | |||||||
\(312\) | −1.03915e9 | − | 1.32944e8i | −1.93703 | − | 0.247816i | ||||
\(313\) | 1.36196e7 | − | 7.72409e7i | 0.0251050 | − | 0.142378i | −0.969679 | − | 0.244383i | \(-0.921415\pi\) |
0.994784 | + | 0.102005i | \(0.0325258\pi\) | |||||||
\(314\) | −2.71213e8 | − | 4.69755e8i | −0.494376 | − | 0.856284i | ||||
\(315\) | −2.76020e8 | − | 1.90280e8i | −0.497570 | − | 0.343009i | ||||
\(316\) | −3.28050e7 | + | 5.68200e7i | −0.0584838 | + | 0.101297i | ||||
\(317\) | 2.03372e7 | + | 1.70650e7i | 0.0358579 | + | 0.0300883i | 0.660540 | − | 0.750790i | \(-0.270327\pi\) |
−0.624683 | + | 0.780879i | \(0.714772\pi\) | |||||||
\(318\) | 4.85796e8 | + | 2.50637e8i | 0.847148 | + | 0.437070i | ||||
\(319\) | 2.97647e7 | + | 1.68804e8i | 0.0513375 | + | 0.291149i | ||||
\(320\) | 4.17994e8 | − | 3.50738e8i | 0.713091 | − | 0.598354i | ||||
\(321\) | 4.33868e8 | + | 4.70023e8i | 0.732132 | + | 0.793143i | ||||
\(322\) | −5.08708e8 | + | 1.85154e8i | −0.849127 | + | 0.309057i | ||||
\(323\) | 6.34596e8 | 1.04782 | ||||||||
\(324\) | 9.44869e7 | − | 5.64096e7i | 0.154335 | − | 0.0921393i | ||||
\(325\) | −3.34625e8 | −0.540712 | ||||||||
\(326\) | 6.97948e8 | − | 2.54032e8i | 1.11574 | − | 0.406095i | ||||
\(327\) | 1.93816e8 | + | 2.09967e8i | 0.306530 | + | 0.332074i | ||||
\(328\) | 2.28532e8 | − | 1.91761e8i | 0.357593 | − | 0.300056i | ||||
\(329\) | 9.12331e7 | + | 5.17409e8i | 0.141243 | + | 0.801029i | ||||
\(330\) | 1.88814e8 | + | 9.74151e7i | 0.289225 | + | 0.149220i | ||||
\(331\) | −8.64870e8 | − | 7.25712e8i | −1.31085 | − | 1.09993i | −0.988160 | − | 0.153428i | \(-0.950969\pi\) |
−0.322689 | − | 0.946505i | \(-0.604587\pi\) | |||||||
\(332\) | −2.51301e7 | + | 4.35265e7i | −0.0376886 | + | 0.0652786i | ||||
\(333\) | −1.58899e8 | + | 7.55146e7i | −0.235812 | + | 0.112067i | ||||
\(334\) | 2.82457e8 | + | 4.89231e8i | 0.414802 | + | 0.718457i | ||||
\(335\) | 5.08695e6 | − | 2.88495e7i | 0.00739265 | − | 0.0419258i | ||||
\(336\) | −3.91388e8 | − | 5.00727e7i | −0.562886 | − | 0.0720135i | ||||
\(337\) | −2.80186e7 | − | 1.01980e7i | −0.0398788 | − | 0.0145147i | 0.322004 | − | 0.946738i | \(-0.395644\pi\) |
−0.361883 | + | 0.932224i | \(0.617866\pi\) | |||||||
\(338\) | −1.41402e9 | − | 5.14661e8i | −1.99181 | − | 0.724958i | ||||
\(339\) | −5.15877e7 | + | 6.77415e7i | −0.0719195 | + | 0.0944400i | ||||
\(340\) | −1.37039e7 | + | 7.77187e7i | −0.0189090 | + | 0.107238i | ||||
\(341\) | −1.41601e8 | − | 2.45259e8i | −0.193386 | − | 0.334954i | ||||
\(342\) | 9.41091e8 | + | 2.44806e8i | 1.27216 | + | 0.330926i | ||||
\(343\) | 3.98656e8 | − | 6.90492e8i | 0.533419 | − | 0.923910i | ||||
\(344\) | 5.93392e8 | + | 4.97915e8i | 0.785936 | + | 0.659478i | ||||
\(345\) | 4.19133e7 | + | 8.85680e8i | 0.0549522 | + | 1.16121i | ||||
\(346\) | −466165. | − | 2.64375e6i | −0.000605025 | − | 0.00343127i | ||||
\(347\) | −2.55480e7 | + | 2.14373e7i | −0.0328249 | + | 0.0275434i | −0.659053 | − | 0.752097i | \(-0.729043\pi\) |
0.626228 | + | 0.779640i | \(0.284598\pi\) | |||||||
\(348\) | −9.51704e7 | + | 2.14640e7i | −0.121053 | + | 0.0273013i | ||||
\(349\) | 6.26000e8 | − | 2.27845e8i | 0.788289 | − | 0.286914i | 0.0836642 | − | 0.996494i | \(-0.473338\pi\) |
0.704625 | + | 0.709580i | \(0.251115\pi\) | |||||||
\(350\) | −1.54786e8 | −0.192971 | ||||||||
\(351\) | 1.40722e9 | − | 4.60718e8i | 1.73695 | − | 0.568670i | ||||
\(352\) | −1.24342e8 | −0.151956 | ||||||||
\(353\) | −5.04698e8 | + | 1.83695e8i | −0.610688 | + | 0.222272i | −0.628804 | − | 0.777563i | \(-0.716455\pi\) |
0.0181160 | + | 0.999836i | \(0.494233\pi\) | |||||||
\(354\) | 2.45701e8 | − | 7.89310e8i | 0.294371 | − | 0.945663i | ||||
\(355\) | −3.05456e8 | + | 2.56308e8i | −0.362368 | + | 0.304062i | ||||
\(356\) | −4.69591e7 | − | 2.66318e8i | −0.0551626 | − | 0.312843i | ||||
\(357\) | 3.76103e8 | − | 2.41541e8i | 0.437490 | − | 0.280965i | ||||
\(358\) | 3.09504e8 | + | 2.59704e8i | 0.356513 | + | 0.299150i | ||||
\(359\) | 3.26243e8 | − | 5.65069e8i | 0.372143 | − | 0.644571i | −0.617752 | − | 0.786373i | \(-0.711956\pi\) |
0.989895 | + | 0.141802i | \(0.0452897\pi\) | |||||||
\(360\) | −3.30164e8 | + | 7.21767e8i | −0.372968 | + | 0.815339i | ||||
\(361\) | −4.94551e8 | − | 8.56587e8i | −0.553268 | − | 0.958288i | ||||
\(362\) | 1.19002e8 | − | 6.74892e8i | 0.131848 | − | 0.747746i | ||||
\(363\) | 2.87306e8 | + | 6.86510e8i | 0.315262 | + | 0.753310i | ||||
\(364\) | 2.04574e8 | + | 7.44588e7i | 0.222329 | + | 0.0809210i | ||||
\(365\) | −3.82959e8 | − | 1.39386e8i | −0.412218 | − | 0.150035i | ||||
\(366\) | −4.13152e8 | − | 9.87218e8i | −0.440480 | − | 1.05252i | ||||
\(367\) | −1.03104e8 | + | 5.84735e8i | −0.108880 | + | 0.617487i | 0.880720 | + | 0.473637i | \(0.157059\pi\) |
−0.989600 | + | 0.143849i | \(0.954052\pi\) | |||||||
\(368\) | 5.21790e8 | + | 9.03766e8i | 0.545793 | + | 0.945342i | ||||
\(369\) | −1.75404e8 | + | 3.83448e8i | −0.181739 | + | 0.397296i | ||||
\(370\) | 9.66647e7 | − | 1.67428e8i | 0.0992115 | − | 0.171839i | ||||
\(371\) | −5.71146e8 | − | 4.79248e8i | −0.580682 | − | 0.487250i | ||||
\(372\) | 1.35629e8 | − | 8.71037e7i | 0.136600 | − | 0.0877276i | ||||
\(373\) | −8.30356e7 | − | 4.70918e8i | −0.0828483 | − | 0.469856i | −0.997800 | − | 0.0662931i | \(-0.978883\pi\) |
0.914952 | − | 0.403563i | \(-0.132228\pi\) | |||||||
\(374\) | −2.17000e8 | + | 1.82085e8i | −0.214491 | + | 0.179979i | ||||
\(375\) | −3.30044e8 | + | 1.06026e9i | −0.323194 | + | 1.03825i | ||||
\(376\) | 1.16883e9 | − | 4.25420e8i | 1.13395 | − | 0.412725i | ||||
\(377\) | −1.31274e9 | −1.26178 | ||||||||
\(378\) | 6.50931e8 | − | 2.13112e8i | 0.619889 | − | 0.202949i | ||||
\(379\) | −3.37822e8 | −0.318750 | −0.159375 | − | 0.987218i | \(-0.550948\pi\) | ||||
−0.159375 | + | 0.987218i | \(0.550948\pi\) | |||||||
\(380\) | 2.20043e8 | − | 8.00890e7i | 0.205714 | − | 0.0748739i | ||||
\(381\) | 1.52126e9 | − | 3.43094e8i | 1.40918 | − | 0.317816i | ||||
\(382\) | 3.70951e8 | − | 3.11265e8i | 0.340483 | − | 0.285699i | ||||
\(383\) | 3.36446e8 | + | 1.90808e9i | 0.305999 | + | 1.73540i | 0.618766 | + | 0.785575i | \(0.287633\pi\) |
−0.312768 | + | 0.949830i | \(0.601256\pi\) | |||||||
\(384\) | 3.40844e7 | + | 7.20246e8i | 0.0307182 | + | 0.649115i | ||||
\(385\) | −2.21987e8 | − | 1.86269e8i | −0.198251 | − | 0.166352i | ||||
\(386\) | −3.20215e8 | + | 5.54629e8i | −0.283391 | + | 0.490848i | ||||
\(387\) | −1.05960e9 | − | 2.75633e8i | −0.929292 | − | 0.241737i | ||||
\(388\) | 1.29104e8 | + | 2.23615e8i | 0.112209 | + | 0.194352i | ||||
\(389\) | −7.67737e7 | + | 4.35405e8i | −0.0661285 | + | 0.375033i | 0.933726 | + | 0.357988i | \(0.116537\pi\) |
−0.999855 | + | 0.0170454i | \(0.994574\pi\) | |||||||
\(390\) | −9.85831e8 | + | 1.29453e9i | −0.841543 | + | 1.10506i | ||||
\(391\) | −1.11089e9 | − | 4.04331e8i | −0.939836 | − | 0.342072i | ||||
\(392\) | −5.76345e8 | − | 2.09772e8i | −0.483260 | − | 0.175892i | ||||
\(393\) | 2.30406e9 | + | 2.94773e8i | 1.91478 | + | 0.244970i | ||||
\(394\) | 1.60372e8 | − | 9.09515e8i | 0.132097 | − | 0.749158i | ||||
\(395\) | 3.34424e8 | + | 5.79240e8i | 0.273029 | + | 0.472899i | ||||
\(396\) | 8.59118e7 | − | 4.08285e7i | 0.0695216 | − | 0.0330392i | ||||
\(397\) | 6.96996e8 | − | 1.20723e9i | 0.559066 | − | 0.968331i | −0.438508 | − | 0.898727i | \(-0.644493\pi\) |
0.997575 | − | 0.0696042i | \(-0.0221736\pi\) | |||||||
\(398\) | 7.84572e7 | + | 6.58334e7i | 0.0623795 | + | 0.0523427i | ||||
\(399\) | −1.17867e9 | − | 6.08111e8i | −0.928937 | − | 0.479267i | ||||
\(400\) | 5.18136e7 | + | 2.93850e8i | 0.0404794 | + | 0.229570i | ||||
\(401\) | 1.08073e9 | − | 9.06841e8i | 0.836975 | − | 0.702305i | −0.119906 | − | 0.992785i | \(-0.538259\pi\) |
0.956881 | + | 0.290480i | \(0.0938149\pi\) | |||||||
\(402\) | 4.05949e7 | + | 4.39777e7i | 0.0311659 | + | 0.0337631i | ||||
\(403\) | 2.03812e9 | − | 7.41814e8i | 1.55118 | − | 0.564582i | ||||
\(404\) | 1.62630e8 | 0.122706 | ||||||||
\(405\) | −1.63994e7 | − | 1.12171e9i | −0.0122669 | − | 0.839048i | ||||
\(406\) | −6.07229e8 | −0.450310 | ||||||||
\(407\) | −1.42899e8 | + | 5.20108e7i | −0.105062 | + | 0.0382396i | ||||
\(408\) | −7.17772e8 | − | 7.77586e8i | −0.523210 | − | 0.566810i | ||||
\(409\) | 1.37147e8 | − | 1.15080e8i | 0.0991186 | − | 0.0831704i | −0.591882 | − | 0.806025i | \(-0.701615\pi\) |
0.691000 | + | 0.722854i | \(0.257170\pi\) | |||||||
\(410\) | −8.04625e7 | − | 4.56325e8i | −0.0576567 | − | 0.326988i | ||||
\(411\) | 1.60947e9 | + | 8.30377e8i | 1.14350 | + | 0.589969i | ||||
\(412\) | −2.08020e8 | − | 1.74550e8i | −0.146543 | − | 0.122964i | ||||
\(413\) | −5.63756e8 | + | 9.76454e8i | −0.393791 | + | 0.682066i | ||||
\(414\) | −1.49145e9 | − | 1.02816e9i | −1.03302 | − | 0.712129i | ||||
\(415\) | 2.56183e8 | + | 4.43723e8i | 0.175947 | + | 0.304750i | ||||
\(416\) | 1.65362e8 | − | 9.37815e8i | 0.112618 | − | 0.638691i | ||||
\(417\) | −2.77624e9 | − | 3.55182e8i | −1.87491 | − | 0.239869i | ||||
\(418\) | 7.89839e8 | + | 2.87478e8i | 0.528958 | + | 0.192525i | ||||
\(419\) | −2.58729e9 | − | 9.41698e8i | −1.71829 | − | 0.625407i | −0.720601 | − | 0.693350i | \(-0.756134\pi\) |
−0.997689 | + | 0.0679431i | \(0.978356\pi\) | |||||||
\(420\) | 9.99282e7 | − | 1.31219e8i | 0.0658136 | − | 0.0864221i | ||||
\(421\) | −5.01180e8 | + | 2.84233e9i | −0.327345 | + | 1.85647i | 0.165307 | + | 0.986242i | \(0.447138\pi\) |
−0.492653 | + | 0.870226i | \(0.663973\pi\) | |||||||
\(422\) | 3.97773e8 | + | 6.88963e8i | 0.257657 | + | 0.446275i | ||||
\(423\) | −1.23403e9 | + | 1.25220e9i | −0.792745 | + | 0.804419i | ||||
\(424\) | −8.82566e8 | + | 1.52865e9i | −0.562298 | + | 0.973929i | ||||
\(425\) | −2.58933e8 | − | 2.17270e8i | −0.163616 | − | 0.137290i | ||||
\(426\) | −3.85087e7 | − | 8.13737e8i | −0.0241337 | − | 0.509977i | ||||
\(427\) | 2.53465e8 | + | 1.43747e9i | 0.157551 | + | 0.893516i | ||||
\(428\) | −2.41073e8 | + | 2.02284e8i | −0.148626 | + | 0.124712i | ||||
\(429\) | 1.24854e9 | − | 2.81586e8i | 0.763488 | − | 0.172191i | ||||
\(430\) | 1.13058e9 | − | 4.11499e8i | 0.685746 | − | 0.249591i | ||||
\(431\) | −1.23472e9 | −0.742844 | −0.371422 | − | 0.928464i | \(-0.621130\pi\) | ||||
−0.371422 | + | 0.928464i | \(0.621130\pi\) | |||||||
\(432\) | −6.22473e8 | − | 1.16441e9i | −0.371473 | − | 0.694884i | ||||
\(433\) | −2.51517e9 | −1.48888 | −0.744440 | − | 0.667690i | \(-0.767283\pi\) | ||||
−0.744440 | + | 0.667690i | \(0.767283\pi\) | |||||||
\(434\) | 9.42761e8 | − | 3.43137e8i | 0.553589 | − | 0.201490i | ||||
\(435\) | −2.95603e8 | + | 9.49620e8i | −0.172185 | + | 0.553143i | ||||
\(436\) | −1.07691e8 | + | 9.03638e7i | −0.0622269 | + | 0.0522146i | ||||
\(437\) | 6.09119e8 | + | 3.45449e9i | 0.349154 | + | 1.98015i | ||||
\(438\) | 7.00576e8 | − | 4.49924e8i | 0.398379 | − | 0.255847i | ||||
\(439\) | 9.80830e8 | + | 8.23014e8i | 0.553309 | + | 0.464281i | 0.876060 | − | 0.482203i | \(-0.160163\pi\) |
−0.322751 | + | 0.946484i | \(0.604608\pi\) | |||||||
\(440\) | −3.43027e8 | + | 5.94139e8i | −0.191974 | + | 0.332509i | ||||
\(441\) | 8.63023e8 | − | 8.18654e7i | 0.479167 | − | 0.0454533i | ||||
\(442\) | −1.08474e9 | − | 1.87882e9i | −0.597511 | − | 1.03492i | ||||
\(443\) | 2.96016e8 | − | 1.67879e9i | 0.161772 | − | 0.917453i | −0.790559 | − | 0.612386i | \(-0.790210\pi\) |
0.952331 | − | 0.305067i | \(-0.0986790\pi\) | |||||||
\(444\) | −3.34147e7 | − | 7.98437e7i | −0.0181175 | − | 0.0432912i | ||||
\(445\) | −2.59055e9 | − | 9.42884e8i | −1.39358 | − | 0.507222i | ||||
\(446\) | −9.45310e8 | − | 3.44065e8i | −0.504548 | − | 0.183640i | ||||
\(447\) | −6.71514e8 | − | 1.60457e9i | −0.355614 | − | 0.849731i | ||||
\(448\) | 2.64029e8 | − | 1.49738e9i | 0.138732 | − | 0.786791i | ||||
\(449\) | −3.77958e8 | − | 6.54642e8i | −0.197052 | − | 0.341304i | 0.750519 | − | 0.660849i | \(-0.229803\pi\) |
−0.947571 | + | 0.319544i | \(0.896470\pi\) | |||||||
\(450\) | −3.00176e8 | − | 4.22095e8i | −0.155286 | − | 0.218357i | ||||
\(451\) | −1.82237e8 | + | 3.15645e8i | −0.0935448 | + | 0.162024i | ||||
\(452\) | −3.20904e7 | − | 2.69271e7i | −0.0163452 | − | 0.0137153i | ||||
\(453\) | 1.05921e9 | − | 6.80249e8i | 0.535353 | − | 0.343815i | ||||
\(454\) | 2.22647e8 | + | 1.26270e9i | 0.111666 | + | 0.633291i | ||||
\(455\) | 1.70011e9 | − | 1.42656e9i | 0.846128 | − | 0.709985i | ||||
\(456\) | −9.33253e8 | + | 2.99806e9i | −0.460917 | + | 1.48069i | ||||
\(457\) | 1.03487e9 | − | 3.76661e8i | 0.507198 | − | 0.184605i | −0.0757307 | − | 0.997128i | \(-0.524129\pi\) |
0.582929 | + | 0.812523i | \(0.301907\pi\) | |||||||
\(458\) | 3.45716e9 | 1.68147 | ||||||||
\(459\) | 1.38805e9 | + | 5.57199e8i | 0.669979 | + | 0.268947i | ||||
\(460\) | −4.36224e8 | −0.208957 | ||||||||
\(461\) | 3.67619e9 | − | 1.33802e9i | 1.74761 | − | 0.636078i | 0.747992 | − | 0.663708i | \(-0.231018\pi\) |
0.999618 | + | 0.0276295i | \(0.00879587\pi\) | |||||||
\(462\) | 5.77531e8 | − | 1.30252e8i | 0.272476 | − | 0.0614521i | ||||
\(463\) | −1.44193e9 | + | 1.20992e9i | −0.675165 | + | 0.566531i | −0.914589 | − | 0.404384i | \(-0.867486\pi\) |
0.239424 | + | 0.970915i | \(0.423041\pi\) | |||||||
\(464\) | 2.03267e8 | + | 1.15278e9i | 0.0944611 | + | 0.535715i | ||||
\(465\) | −7.76756e7 | − | 1.64138e9i | −0.0358261 | − | 0.757051i | ||||
\(466\) | 1.43450e9 | + | 1.20369e9i | 0.656674 | + | 0.551015i | ||||
\(467\) | 1.18916e9 | − | 2.05968e9i | 0.540294 | − | 0.935817i | −0.458593 | − | 0.888647i | \(-0.651646\pi\) |
0.998887 | − | 0.0471703i | \(-0.0150204\pi\) | |||||||
\(468\) | 1.93684e8 | + | 7.02264e8i | 0.0873439 | + | 0.316694i | ||||
\(469\) | −4.08152e7 | − | 7.06940e7i | −0.0182691 | − | 0.0316430i | ||||
\(470\) | 3.35480e8 | − | 1.90260e9i | 0.149047 | − | 0.845288i | ||||
\(471\) | −1.49988e9 | + | 1.96955e9i | −0.661430 | + | 0.868547i | ||||
\(472\) | 2.50837e9 | + | 9.12971e8i | 1.09798 | + | 0.399632i | ||||
\(473\) | −8.89298e8 | − | 3.23678e8i | −0.386397 | − | 0.140637i | ||||
\(474\) | −1.35543e9 | − | 1.73409e8i | −0.584593 | − | 0.0747906i | ||||
\(475\) | −1.74161e8 | + | 9.87715e8i | −0.0745629 | + | 0.422867i | ||||
\(476\) | 1.09954e8 | + | 1.90445e8i | 0.0467289 | + | 0.0809368i | ||||
\(477\) | 1.99270e8 | − | 2.48690e9i | 0.0840674 | − | 1.04917i | ||||
\(478\) | −1.29782e9 | + | 2.24790e9i | −0.543523 | + | 0.941409i | ||||
\(479\) | 1.72599e9 | + | 1.44828e9i | 0.717571 | + | 0.602114i | 0.926712 | − | 0.375772i | \(-0.122622\pi\) |
−0.209141 | + | 0.977886i | \(0.567067\pi\) | |||||||
\(480\) | −6.41166e8 | − | 3.30797e8i | −0.264622 | − | 0.136527i | ||||
\(481\) | −2.02237e8 | − | 1.14694e9i | −0.0828615 | − | 0.469931i | ||||
\(482\) | 1.71696e9 | − | 1.44070e9i | 0.698385 | − | 0.586014i | ||||
\(483\) | 1.67586e9 | + | 1.81551e9i | 0.676741 | + | 0.733135i | ||||
\(484\) | −3.44053e8 | + | 1.25225e8i | −0.137932 | + | 0.0502033i | ||||
\(485\) | 2.63225e9 | 1.04769 | ||||||||
\(486\) | 1.84350e9 | + | 1.36178e9i | 0.728477 | + | 0.538121i | ||||
\(487\) | 3.01715e9 | 1.18371 | 0.591856 | − | 0.806044i | \(-0.298395\pi\) | ||||
0.591856 | + | 0.806044i | \(0.298395\pi\) | |||||||
\(488\) | 3.24727e9 | − | 1.18191e9i | 1.26488 | − | 0.460379i | ||||
\(489\) | −2.29928e9 | − | 2.49089e9i | −0.889224 | − | 0.963325i | ||||
\(490\) | −7.29760e8 | + | 6.12341e8i | −0.280217 | + | 0.235130i | ||||
\(491\) | −4.34057e8 | − | 2.46166e9i | −0.165486 | − | 0.938518i | −0.948562 | − | 0.316592i | \(-0.897461\pi\) |
0.783076 | − | 0.621926i | \(-0.213650\pi\) | |||||||
\(492\) | −1.84358e8 | − | 9.51161e7i | −0.0697887 | − | 0.0360061i | ||||
\(493\) | −1.01580e9 | − | 8.52359e8i | −0.381808 | − | 0.320375i | ||||
\(494\) | −3.21863e9 | + | 5.57483e9i | −1.20123 | + | 2.08059i | ||||
\(495\) | 7.74502e7 | − | 9.66583e8i | 0.0287015 | − | 0.358196i | ||||
\(496\) | −9.67005e8 | − | 1.67490e9i | −0.355830 | − | 0.616316i | ||||
\(497\) | −1.92943e8 | + | 1.09424e9i | −0.0704989 | + | 0.399819i | ||||
\(498\) | −1.03832e9 | − | 1.32838e8i | −0.376728 | − | 0.0481971i | ||||
\(499\) | 1.07293e9 | + | 3.90513e8i | 0.386561 | + | 0.140697i | 0.527987 | − | 0.849252i | \(-0.322947\pi\) |
−0.141427 | + | 0.989949i | \(0.545169\pi\) | |||||||
\(500\) | −5.13368e8 | − | 1.86851e8i | −0.183668 | − | 0.0668498i | ||||
\(501\) | 1.56207e9 | − | 2.05120e9i | 0.554967 | − | 0.728746i | ||||
\(502\) | −4.24970e8 | + | 2.41012e9i | −0.149932 | + | 0.850308i | ||||
\(503\) | −9.44778e8 | − | 1.63640e9i | −0.331010 | − | 0.573327i | 0.651700 | − | 0.758477i | \(-0.274056\pi\) |
−0.982710 | + | 0.185150i | \(0.940723\pi\) | |||||||
\(504\) | 5.88022e8 | + | 2.13207e9i | 0.204591 | + | 0.741812i | ||||
\(505\) | 8.28950e8 | − | 1.43578e9i | 0.286423 | − | 0.496100i | ||||
\(506\) | −1.19948e9 | − | 1.00649e9i | −0.411593 | − | 0.345367i | ||||
\(507\) | 3.24641e8 | + | 6.86008e9i | 0.110631 | + | 2.33777i | ||||
\(508\) | 1.33228e8 | + | 7.55573e8i | 0.0450891 | + | 0.255713i | ||||
\(509\) | −2.96163e9 | + | 2.48510e9i | −0.995448 | + | 0.835280i | −0.986347 | − | 0.164678i | \(-0.947341\pi\) |
−0.00910105 | + | 0.999959i | \(0.502897\pi\) | |||||||
\(510\) | −1.60337e9 | + | 3.61611e8i | −0.535227 | + | 0.120711i | ||||
\(511\) | −1.06713e9 | + | 3.88404e8i | −0.353789 | + | 0.128769i | ||||
\(512\) | −3.40598e9 | −1.12150 | ||||||||
\(513\) | −6.27494e8 | − | 4.39350e9i | −0.205210 | − | 1.43681i | ||||
\(514\) | −1.46875e9 | −0.477066 | ||||||||
\(515\) | −2.60133e9 | + | 9.46805e8i | −0.839207 | + | 0.305447i | ||||
\(516\) | 1.60096e8 | − | 5.14307e8i | 0.0512988 | − | 0.164797i | ||||
\(517\) | −1.16411e9 | + | 9.76805e8i | −0.370491 | + | 0.310879i | ||||
\(518\) | −9.35478e7 | − | 5.30536e8i | −0.0295719 | − | 0.167711i | ||||
\(519\) | −1.03093e7 | + | 6.62084e6i | −0.00323700 | + | 0.00207887i | ||||
\(520\) | −4.02494e9 | − | 3.37733e9i | −1.25530 | − | 1.05332i | ||||
\(521\) | 2.61938e9 | − | 4.53690e9i | 0.811458 | − | 1.40549i | −0.100385 | − | 0.994949i | \(-0.532008\pi\) |
0.911843 | − | 0.410538i | \(-0.134659\pi\) | |||||||
\(522\) | −1.17760e9 | − | 1.65589e9i | −0.362369 | − | 0.509549i | ||||
\(523\) | 4.73456e7 | + | 8.20049e7i | 0.0144718 | + | 0.0250659i | 0.873171 | − | 0.487415i | \(-0.162060\pi\) |
−0.858699 | + | 0.512481i | \(0.828727\pi\) | |||||||
\(524\) | −1.98443e8 | + | 1.12543e9i | −0.0602527 | + | 0.341710i | ||||
\(525\) | 2.72727e8 | + | 6.51674e8i | 0.0822565 | + | 0.196550i | ||||
\(526\) | −9.22115e8 | − | 3.35623e8i | −0.276271 | − | 0.100554i | ||||
\(527\) | 2.05875e9 | + | 7.49324e8i | 0.612727 | + | 0.223014i | ||||
\(528\) | −4.40599e8 | − | 1.05280e9i | −0.130264 | − | 0.311263i | ||||
\(529\) | 5.43482e8 | − | 3.08224e9i | 0.159621 | − | 0.905257i | ||||
\(530\) | 1.37081e9 | + | 2.37431e9i | 0.399955 | + | 0.692743i | ||||
\(531\) | −3.75605e9 | + | 3.56295e8i | −1.08868 | + | 0.103271i | ||||
\(532\) | 3.26255e8 | − | 5.65090e8i | 0.0939433 | − | 0.162715i | ||||
\(533\) | −2.13831e9 | − | 1.79425e9i | −0.611680 | − | 0.513261i | ||||
\(534\) | 4.73910e9 | − | 3.04354e9i | 1.34679 | − | 0.864939i | ||||
\(535\) | 5.57086e8 | + | 3.15939e9i | 0.157284 | + | 0.892001i | ||||
\(536\) | −1.48044e8 | + | 1.24223e8i | −0.0415254 | + | 0.0348439i | ||||
\(537\) | 5.48066e8 | − | 1.76065e9i | 0.152729 | − | 0.490641i | ||||
\(538\) | −6.08815e8 | + | 2.21591e8i | −0.168557 | + | 0.0613498i | ||||
\(539\) | 7.49325e8 | 0.206115 | ||||||||
\(540\) | 5.51621e8 | + | 1.80273e7i | 0.150752 | + | 0.00492667i | ||||
\(541\) | 3.36457e9 | 0.913566 | 0.456783 | − | 0.889578i | \(-0.349002\pi\) | ||||
0.456783 | + | 0.889578i | \(0.349002\pi\) | |||||||
\(542\) | −5.55571e9 | + | 2.02211e9i | −1.49879 | + | 0.545517i | ||||
\(543\) | −3.05109e9 | + | 6.88118e8i | −0.817815 | + | 0.184444i | ||||
\(544\) | 7.36877e8 | − | 6.18313e8i | 0.196245 | − | 0.164669i | ||||
\(545\) | 2.48860e8 | + | 1.41135e9i | 0.0658517 | + | 0.373463i | ||||
\(546\) | 2.14331e8 | + | 4.52909e9i | 0.0563523 | + | 1.19079i | ||||
\(547\) | 4.42019e9 | + | 3.70898e9i | 1.15474 | + | 0.968944i | 0.999820 | − | 0.0189821i | \(-0.00604254\pi\) |
0.154923 | + | 0.987927i | \(0.450487\pi\) | |||||||
\(548\) | −4.45501e8 | + | 7.71631e8i | −0.115642 | + | 0.200298i | ||||
\(549\) | −3.42840e9 | + | 3.47889e9i | −0.884276 | + | 0.897299i | ||||
\(550\) | −2.23851e8 | − | 3.87721e8i | −0.0573706 | − | 0.0993688i | ||||
\(551\) | −6.83239e8 | + | 3.87484e9i | −0.173997 | + | 0.986786i | ||||
\(552\) | 3.54391e9 | − | 4.65363e9i | 0.896801 | − | 1.17762i | ||||
\(553\) | 1.75137e9 | + | 6.37448e8i | 0.440394 | + | 0.160290i | ||||
\(554\) | −4.67734e9 | − | 1.70241e9i | −1.16873 | − | 0.425384i | ||||
\(555\) | −8.75221e8 | − | 1.11972e8i | −0.217316 | − | 0.0278026i | ||||
\(556\) | 2.39111e8 | − | 1.35607e9i | 0.0589981 | − | 0.334595i | ||||
\(557\) | 1.34591e9 | + | 2.33119e9i | 0.330007 | + | 0.571590i | 0.982513 | − | 0.186194i | \(-0.0596154\pi\) |
−0.652505 | + | 0.757784i | \(0.726282\pi\) | |||||||
\(558\) | 2.76402e9 | + | 1.90543e9i | 0.673475 | + | 0.464273i | ||||
\(559\) | 3.62393e9 | − | 6.27683e9i | 0.877483 | − | 1.51984i | ||||
\(560\) | −1.51597e9 | − | 1.27205e9i | −0.364782 | − | 0.306088i | ||||
\(561\) | 1.14895e9 | + | 5.92780e8i | 0.274747 | + | 0.141750i | ||||
\(562\) | −9.01151e8 | − | 5.11068e9i | −0.214151 | − | 1.21451i | ||||
\(563\) | 1.55263e9 | − | 1.30282e9i | 0.366682 | − | 0.307683i | −0.440765 | − | 0.897622i | \(-0.645293\pi\) |
0.807447 | + | 0.589940i | \(0.200848\pi\) | |||||||
\(564\) | −5.86669e8 | − | 6.35558e8i | −0.137694 | − | 0.149169i | ||||
\(565\) | −4.01296e8 | + | 1.46060e8i | −0.0936042 | + | 0.0340691i | ||||
\(566\) | −8.42812e8 | −0.195377 | ||||||||
\(567\) | −2.04416e9 | − | 2.36504e9i | −0.470948 | − | 0.544875i | ||||
\(568\) | 2.63053e9 | 0.602316 | ||||||||
\(569\) | −4.17244e9 | + | 1.51865e9i | −0.949506 | + | 0.345592i | −0.769913 | − | 0.638149i | \(-0.779700\pi\) |
−0.179593 | + | 0.983741i | \(0.557478\pi\) | |||||||
\(570\) | 3.30798e9 | + | 3.58364e9i | 0.748171 | + | 0.810518i | ||||
\(571\) | −1.76542e9 | + | 1.48136e9i | −0.396846 | + | 0.332993i | −0.819273 | − | 0.573404i | \(-0.805623\pi\) |
0.422427 | + | 0.906397i | \(0.361178\pi\) | |||||||
\(572\) | 1.09343e8 | + | 6.20118e8i | 0.0244291 | + | 0.138544i | ||||
\(573\) | −1.96408e9 | − | 1.01333e9i | −0.436133 | − | 0.225014i | ||||
\(574\) | −9.89105e8 | − | 8.29958e8i | −0.218299 | − | 0.183174i | ||||
\(575\) | 9.34196e8 | − | 1.61808e9i | 0.204928 | − | 0.354945i | ||||
\(576\) | 4.59534e9 | − | 2.18387e9i | 1.00193 | − | 0.476156i | ||||
\(577\) | 1.43171e9 | + | 2.47980e9i | 0.310271 | + | 0.537404i | 0.978421 | − | 0.206622i | \(-0.0662470\pi\) |
−0.668150 | + | 0.744026i | \(0.732914\pi\) | |||||||
\(578\) | −3.49577e8 | + | 1.98255e9i | −0.0753000 | + | 0.427048i | ||||
\(579\) | 2.89929e9 | + | 3.70924e8i | 0.620750 | + | 0.0794164i | ||||
\(580\) | −4.59796e8 | − | 1.67352e8i | −0.0978515 | − | 0.0356150i | ||||
\(581\) | 1.34163e9 | + | 4.88312e8i | 0.283802 | + | 0.103295i | ||||
\(582\) | −3.25817e9 | + | 4.27841e9i | −0.685082 | + | 0.899605i | ||||
\(583\) | 3.74474e8 | − | 2.12375e9i | 0.0782675 | − | 0.443877i | ||||
\(584\) | 1.34427e9 | + | 2.32834e9i | 0.279281 | + | 0.483728i | ||||
\(585\) | 7.18719e9 | + | 1.86960e9i | 1.48427 | + | 0.386104i | ||||
\(586\) | −3.87337e9 | + | 6.70888e9i | −0.795148 | + | 1.37724i | ||||
\(587\) | 5.34892e9 | + | 4.48828e9i | 1.09152 | + | 0.915896i | 0.996826 | − | 0.0796098i | \(-0.0253674\pi\) |
0.0946967 | + | 0.995506i | \(0.469812\pi\) | |||||||
\(588\) | 2.01606e7 | + | 4.26018e8i | 0.00408961 | + | 0.0864187i | ||||
\(589\) | −1.12885e9 | − | 6.40202e9i | −0.227631 | − | 1.29096i | ||||
\(590\) | 3.17606e9 | − | 2.66503e9i | 0.636659 | − | 0.534220i | ||||
\(591\) | −4.11179e9 | + | 9.27340e8i | −0.819359 | + | 0.184792i | ||||
\(592\) | −9.75870e8 | + | 3.55188e8i | −0.193315 | + | 0.0703610i | ||||
\(593\) | −2.38323e9 | −0.469325 | −0.234663 | − | 0.972077i | \(-0.575399\pi\) | ||||
−0.234663 | + | 0.972077i | \(0.575399\pi\) | |||||||
\(594\) | 1.47520e9 | + | 1.32231e9i | 0.288800 | + | 0.258869i | ||||
\(595\) | 2.24180e9 | 0.436302 | ||||||||
\(596\) | 8.04147e8 | − | 2.92686e8i | 0.155587 | − | 0.0566291i | ||||
\(597\) | 1.38931e8 | − | 4.46315e8i | 0.0267233 | − | 0.0858482i | ||||
\(598\) | 9.18635e9 | − | 7.70826e9i | 1.75666 | − | 1.47402i | ||||
\(599\) | −6.27748e8 | − | 3.56014e9i | −0.119342 | − | 0.676820i | −0.984509 | − | 0.175336i | \(-0.943899\pi\) |
0.865167 | − | 0.501484i | \(-0.167212\pi\) | |||||||
\(600\) | 1.40726e9 | − | 9.03771e8i | 0.265977 | − | 0.170816i | ||||
\(601\) | −4.57245e9 | − | 3.83674e9i | −0.859188 | − | 0.720944i | 0.102605 | − | 0.994722i | \(-0.467282\pi\) |
−0.961793 | + | 0.273778i | \(0.911727\pi\) | |||||||
\(602\) | 1.67630e9 | − | 2.90344e9i | 0.313159 | − | 0.542407i | ||||
\(603\) | 1.13627e8 | − | 2.48399e8i | 0.0211043 | − | 0.0461359i | ||||
\(604\) | 3.09661e8 | + | 5.36349e8i | 0.0571818 | + | 0.0990417i | ||||
\(605\) | −6.48137e8 | + | 3.67577e9i | −0.118993 | + | 0.674845i | ||||
\(606\) | 1.30763e9 | + | 3.12455e9i | 0.238688 | + | 0.570340i | ||||
\(607\) | −3.55983e8 | − | 1.29567e8i | −0.0646054 | − | 0.0235145i | 0.309515 | − | 0.950894i | \(-0.399833\pi\) |
−0.374121 | + | 0.927380i | \(0.622055\pi\) | |||||||
\(608\) | −2.68209e9 | − | 9.76202e8i | −0.483962 | − | 0.176148i | ||||
\(609\) | 1.06992e9 | + | 2.55654e9i | 0.191951 | + | 0.458661i | ||||
\(610\) | 9.32036e8 | − | 5.28584e9i | 0.166256 | − | 0.942886i | ||||
\(611\) | −5.81914e9 | − | 1.00790e10i | −1.03208 | − | 1.78762i | ||||
\(612\) | −3.06104e8 | + | 6.69170e8i | −0.0539808 | + | 0.118007i | ||||
\(613\) | −3.04856e7 | + | 5.28025e7i | −0.00534543 | + | 0.00925855i | −0.868686 | − | 0.495364i | \(-0.835035\pi\) |
0.863340 | + | 0.504622i | \(0.168368\pi\) | |||||||
\(614\) | 3.75304e8 | + | 3.14917e8i | 0.0654325 | + | 0.0549044i | ||||
\(615\) | −1.77944e9 | + | 1.14279e9i | −0.308475 | + | 0.198109i | ||||
\(616\) | 3.31966e8 | + | 1.88267e9i | 0.0572217 | + | 0.324520i | ||||
\(617\) | 1.66391e9 | − | 1.39619e9i | 0.285189 | − | 0.239302i | −0.488959 | − | 0.872307i | \(-0.662623\pi\) |
0.774148 | + | 0.633005i | \(0.218179\pi\) | |||||||
\(618\) | 1.68097e9 | − | 5.40009e9i | 0.286483 | − | 0.920324i | ||||
\(619\) | −8.01647e9 | + | 2.91776e9i | −1.35852 | + | 0.494461i | −0.915596 | − | 0.402099i | \(-0.868281\pi\) |
−0.442924 | + | 0.896559i | \(0.646059\pi\) | |||||||
\(620\) | 8.08430e8 | 0.136230 | ||||||||
\(621\) | −1.70085e9 | + | 8.09083e9i | −0.285000 | + | 1.35573i | ||||
\(622\) | −2.25414e8 | −0.0375590 | ||||||||
\(623\) | −7.21868e9 | + | 2.62738e9i | −1.19605 | + | 0.435327i | ||||
\(624\) | 8.52641e9 | − | 1.92298e9i | 1.40482 | − | 0.316832i | ||||
\(625\) | −2.88308e9 | + | 2.41919e9i | −0.472363 | + | 0.396360i | ||||
\(626\) | 1.39555e8 | + | 7.91455e8i | 0.0227371 | + | 0.128948i | ||||
\(627\) | −1.81337e8 | − | 3.83188e9i | −0.0293799 | − | 0.620835i | ||||
\(628\) | −9.33011e8 | − | 7.82889e8i | −0.150324 | − | 0.126137i | ||||
\(629\) | 5.88214e8 | − | 1.01882e9i | 0.0942450 | − | 0.163237i | ||||
\(630\) | 3.32454e9 | + | 8.64813e8i | 0.529712 | + | 0.137794i | ||||
\(631\) | 3.47776e9 | + | 6.02365e9i | 0.551057 | + | 0.954458i | 0.998199 | + | 0.0599954i | \(0.0191086\pi\) |
−0.447142 | + | 0.894463i | \(0.647558\pi\) | |||||||
\(632\) | 7.66210e8 | − | 4.34539e9i | 0.120736 | − | 0.684730i | ||||
\(633\) | 2.19979e9 | − | 2.88862e9i | 0.344722 | − | 0.452666i | ||||
\(634\) | −2.55625e8 | − | 9.30397e7i | −0.0398373 | − | 0.0144996i | ||||
\(635\) | 7.34967e9 | + | 2.67506e9i | 1.13909 | + | 0.414597i | ||||
\(636\) | 1.21750e9 | + | 1.55762e8i | 0.187659 | + | 0.0240084i | ||||
\(637\) | −9.96527e8 | + | 5.65158e9i | −0.152757 | + | 0.866327i | ||||
\(638\) | −8.78174e8 | − | 1.52104e9i | −0.133878 | − | 0.231883i | ||||
\(639\) | −3.35812e9 | + | 1.59590e9i | −0.509147 | + | 0.241966i | ||||
\(640\) | −1.80818e9 | + | 3.13185e9i | −0.272653 | + | 0.472249i | ||||
\(641\) | 4.27059e8 | + | 3.58345e8i | 0.0640449 | + | 0.0537401i | 0.674248 | − | 0.738505i | \(-0.264468\pi\) |
−0.610203 | + | 0.792245i | \(0.708912\pi\) | |||||||
\(642\) | −5.82477e9 | − | 3.00518e9i | −0.868772 | − | 0.448226i | ||||
\(643\) | 8.51622e8 | + | 4.82979e9i | 0.126331 | + | 0.716457i | 0.980509 | + | 0.196476i | \(0.0629497\pi\) |
−0.854178 | + | 0.519981i | \(0.825939\pi\) | |||||||
\(644\) | −9.31169e8 | + | 7.81344e8i | −0.137381 | + | 0.115277i | ||||
\(645\) | −3.72453e9 | − | 4.03491e9i | −0.546529 | − | 0.592072i | ||||
\(646\) | −6.11029e9 | + | 2.22396e9i | −0.891760 | + | 0.324574i | ||||
\(647\) | −4.81759e8 | −0.0699302 | −0.0349651 | − | 0.999389i | \(-0.511132\pi\) | ||||
−0.0349651 | + | 0.999389i | \(0.511132\pi\) | |||||||
\(648\) | −4.67372e9 | + | 5.73823e9i | −0.674761 | + | 0.828449i | ||||
\(649\) | −3.26121e9 | −0.468299 | ||||||||
\(650\) | 3.22198e9 | − | 1.17270e9i | 0.460178 | − | 0.167491i | ||||
\(651\) | −3.10578e9 | − | 3.36459e9i | −0.441201 | − | 0.477968i | ||||
\(652\) | 1.27757e9 | − | 1.07201e9i | 0.180516 | − | 0.151471i | ||||
\(653\) | 1.35275e9 | + | 7.67184e9i | 0.190118 | + | 1.07821i | 0.919202 | + | 0.393786i | \(0.128835\pi\) |
−0.729085 | + | 0.684424i | \(0.760054\pi\) | |||||||
\(654\) | −2.60202e9 | − | 1.34246e9i | −0.363738 | − | 0.187664i | ||||
\(655\) | 8.92436e9 | + | 7.48843e9i | 1.24089 | + | 1.04123i | ||||
\(656\) | −1.24452e9 | + | 2.15557e9i | −0.172123 | + | 0.298125i | ||||
\(657\) | −3.12865e9 | − | 2.15680e9i | −0.430406 | − | 0.296709i | ||||
\(658\) | −2.69173e9 | − | 4.66221e9i | −0.368333 | − | 0.637971i | ||||
\(659\) | 1.55001e9 | − | 8.79056e9i | 0.210978 | − | 1.19651i | −0.676774 | − | 0.736191i | \(-0.736623\pi\) |
0.887752 | − | 0.460323i | \(-0.152266\pi\) | |||||||
\(660\) | 4.73206e8 | + | 6.05401e7i | 0.0640687 | + | 0.00819671i | ||||
\(661\) | −4.12137e9 | − | 1.50005e9i | −0.555055 | − | 0.202024i | 0.0492360 | − | 0.998787i | \(-0.484321\pi\) |
−0.604291 | + | 0.796764i | \(0.706544\pi\) | |||||||
\(662\) | 1.08708e10 | + | 3.95665e9i | 1.45633 | + | 0.530059i | ||||
\(663\) | −5.99888e9 | + | 7.87733e9i | −0.799416 | + | 1.04974i | ||||
\(664\) | 5.86949e8 | − | 3.32875e9i | 0.0778058 | − | 0.441259i | ||||
\(665\) | −3.32594e9 | − | 5.76069e9i | −0.438569 | − | 0.759624i | ||||
\(666\) | 1.26534e9 | − | 1.28397e9i | 0.165976 | − | 0.168420i | ||||
\(667\) | 3.66488e9 | − | 6.34776e9i | 0.478211 | − | 0.828286i | ||||
\(668\) | 9.71693e8 | + | 8.15347e8i | 0.126128 | + | 0.105834i | ||||
\(669\) | 2.17032e8 | + | 4.58615e9i | 0.0280241 | + | 0.592184i | ||||
\(670\) | 5.21238e7 | + | 2.95609e8i | 0.00669536 | + | 0.0379713i | ||||
\(671\) | −3.23415e9 | + | 2.71378e9i | −0.413268 | + | 0.346773i | ||||
\(672\) | −1.96115e9 | + | 4.42302e8i | −0.249298 | + | 0.0562246i | ||||
\(673\) | −1.12582e10 | + | 4.09766e9i | −1.42370 | + | 0.518183i | −0.935118 | − | 0.354338i | \(-0.884706\pi\) |
−0.488578 | + | 0.872520i | \(0.662484\pi\) | |||||||
\(674\) | 3.05520e8 | 0.0384353 | ||||||||
\(675\) | −1.24819e9 | + | 2.00751e9i | −0.156214 | + | 0.251243i | ||||
\(676\) | −3.37879e9 | −0.420676 | ||||||||
\(677\) | 3.99817e9 | − | 1.45522e9i | 0.495224 | − | 0.180247i | −0.0823209 | − | 0.996606i | \(-0.526233\pi\) |
0.577544 | + | 0.816359i | \(0.304011\pi\) | |||||||
\(678\) | 2.59316e8 | − | 8.33050e8i | 0.0319540 | − | 0.102652i | ||||
\(679\) | 5.61884e9 | − | 4.71477e9i | 0.688815 | − | 0.577984i | ||||
\(680\) | −9.21619e8 | − | 5.22676e9i | −0.112401 | − | 0.637458i | ||||
\(681\) | 4.92387e9 | − | 3.16221e9i | 0.597437 | − | 0.383686i | ||||
\(682\) | 2.22294e9 | + | 1.86527e9i | 0.268338 | + | 0.225162i | ||||
\(683\) | 1.45095e8 | − | 2.51312e8i | 0.0174253 | − | 0.0301815i | −0.857181 | − | 0.515015i | \(-0.827786\pi\) |
0.874607 | + | 0.484833i | \(0.161120\pi\) | |||||||
\(684\) | 2.17369e9 | − | 2.06193e8i | 0.259717 | − | 0.0246365i | ||||
\(685\) | 4.54157e9 | + | 7.86623e9i | 0.539870 | + | 0.935082i | ||||
\(686\) | −1.41866e9 | + | 8.04560e9i | −0.167781 | + | 0.951534i | ||||
\(687\) | −6.09139e9 | − | 1.45552e10i | −0.716750 | − | 1.71266i | ||||
\(688\) | −6.07311e9 | − | 2.21043e9i | −0.710971 | − | 0.258772i | ||||
\(689\) | 1.55198e10 | + | 5.64873e9i | 1.80767 | + | 0.657936i | ||||
\(690\) | −3.50747e9 | − | 8.38101e9i | −0.406464 | − | 0.971235i | ||||
\(691\) | −7.48833e7 | + | 4.24684e8i | −0.00863399 | + | 0.0489658i | −0.988820 | − | 0.149112i | \(-0.952359\pi\) |
0.980186 | + | 0.198077i | \(0.0634697\pi\) | |||||||
\(692\) | −3.01392e6 | − | 5.22026e6i | −0.000345749 | − | 0.000598854i | ||||
\(693\) | −1.56597e9 | − | 2.20201e9i | −0.178738 | − | 0.251334i | ||||
\(694\) | 1.70864e8 | − | 2.95946e8i | 0.0194041 | − | 0.0336089i | ||||
\(695\) | −1.07533e10 | − | 9.02307e9i | −1.21505 | − | 1.01955i | ||||
\(696\) | 5.52073e9 | − | 3.54552e9i | 0.620674 | − | 0.398610i | ||||
\(697\) | −4.89622e8 | − | 2.77679e9i | −0.0547705 | − | 0.310619i | ||||
\(698\) | −5.22903e9 | + | 4.38768e9i | −0.582006 | + | 0.488361i | ||||
\(699\) | 2.54020e9 | − | 8.16035e9i | 0.281318 | − | 0.903730i | ||||
\(700\) | −3.26594e8 | + | 1.18871e8i | −0.0359886 | + | 0.0130988i | ||||
\(701\) | 1.10118e9 | 0.120738 | 0.0603691 | − | 0.998176i | \(-0.480772\pi\) | ||||
0.0603691 | + | 0.998176i | \(0.480772\pi\) | |||||||
\(702\) | −1.19350e10 | + | 9.36774e9i | −1.30210 | + | 1.02201i | ||||
\(703\) | −3.49070e9 | −0.378939 | ||||||||
\(704\) | 4.13261e9 | − | 1.50415e9i | 0.446396 | − | 0.162475i | ||||
\(705\) | −8.60138e9 | + | 1.93989e9i | −0.924498 | + | 0.208504i | ||||
\(706\) | 4.21578e9 | − | 3.53746e9i | 0.450881 | − | 0.378334i | ||||
\(707\) | −8.02221e8 | − | 4.54962e9i | −0.0853741 | − | 0.484180i | ||||
\(708\) | −8.77429e7 | − | 1.85412e9i | −0.00929171 | − | 0.196345i | ||||
\(709\) | 4.73358e9 | + | 3.97195e9i | 0.498802 | + | 0.418544i | 0.857168 | − | 0.515037i | \(-0.172222\pi\) |
−0.358366 | + | 0.933581i | \(0.616666\pi\) | |||||||
\(710\) | 2.04288e9 | − | 3.53838e9i | 0.214210 | − | 0.371022i | ||||
\(711\) | 1.65814e9 | + | 6.01214e9i | 0.173013 | + | 0.627315i | ||||
\(712\) | 9.09340e9 | + | 1.57502e10i | 0.944161 | + | 1.63534i | ||||
\(713\) | −2.10292e9 | + | 1.19263e10i | −0.217275 | + | 1.23223i | ||||
\(714\) | −2.77487e9 | + | 3.64378e9i | −0.285298 | + | 0.374635i | ||||
\(715\) | 6.03206e9 | + | 2.19549e9i | 0.617155 | + | 0.224626i | ||||
\(716\) | 8.52490e8 | + | 3.10281e8i | 0.0867948 | + | 0.0315907i | ||||
\(717\) | 1.17507e10 | + | 1.50335e9i | 1.19055 | + | 0.152315i | ||||
\(718\) | −1.16097e9 | + | 6.58417e9i | −0.117053 | + | 0.663843i | ||||
\(719\) | −7.56941e8 | − | 1.31106e9i | −0.0759470 | − | 0.131544i | 0.825551 | − | 0.564328i | \(-0.190865\pi\) |
−0.901498 | + | 0.432784i | \(0.857531\pi\) | |||||||
\(720\) | 5.28915e8 | − | 6.60090e9i | 0.0528108 | − | 0.659082i | ||||
\(721\) | −3.85695e9 | + | 6.68043e9i | −0.383240 | + | 0.663791i | ||||
\(722\) | 7.76379e9 | + | 6.51459e9i | 0.767704 | + | 0.644180i | ||||
\(723\) | −9.09080e9 | − | 4.69023e9i | −0.894578 | − | 0.461540i | ||||
\(724\) | −2.67205e8 | − | 1.51540e9i | −0.0261674 | − | 0.148403i | ||||
\(725\) | 1.60543e9 | − | 1.34712e9i | 0.156462 | − | 0.131287i | ||||
\(726\) | −5.17226e9 | − | 5.60328e9i | −0.501652 | − | 0.543456i | ||||
\(727\) | 8.60802e9 | − | 3.13306e9i | 0.830870 | − | 0.302412i | 0.108654 | − | 0.994080i | \(-0.465346\pi\) |
0.722216 | + | 0.691668i | \(0.243124\pi\) | |||||||
\(728\) | −1.46410e10 | −1.40641 | ||||||||
\(729\) | 2.48514e9 | − | 1.01609e10i | 0.237577 | − | 0.971369i | ||||
\(730\) | 4.17585e9 | 0.397297 | ||||||||
\(731\) | 6.87972e9 | − | 2.50401e9i | 0.651418 | − | 0.237097i | ||||
\(732\) | −1.62989e9 | − | 1.76572e9i | −0.153593 | − | 0.166392i | ||||
\(733\) | −3.13125e9 | + | 2.62743e9i | −0.293666 | + | 0.246415i | −0.777702 | − | 0.628633i | \(-0.783615\pi\) |
0.484036 | + | 0.875048i | \(0.339170\pi\) | |||||||
\(734\) | −1.05647e9 | − | 5.99153e9i | −0.0986099 | − | 0.559244i | ||||
\(735\) | 3.86387e9 | + | 1.99349e9i | 0.358936 | + | 0.185186i | ||||
\(736\) | 4.07315e9 | + | 3.41777e9i | 0.376580 | + | 0.315988i | ||||
\(737\) | 1.18054e8 | − | 2.04475e8i | 0.0108629 | − | 0.0188150i | ||||
\(738\) | 3.45094e8 | − | 4.30679e9i | 0.0316038 | − | 0.394418i | ||||
\(739\) | 1.38299e9 | + | 2.39541e9i | 0.126056 | + | 0.218336i | 0.922145 | − | 0.386844i | \(-0.126435\pi\) |
−0.796089 | + | 0.605179i | \(0.793101\pi\) | |||||||
\(740\) | 7.53807e7 | − | 4.27505e8i | 0.00683832 | − | 0.0387820i | ||||
\(741\) | 2.91421e10 | + | 3.72833e9i | 2.63122 | + | 0.336628i | ||||
\(742\) | 7.17890e9 | + | 2.61291e9i | 0.645125 | + | 0.234806i | ||||
\(743\) | 9.85051e8 | + | 3.58529e8i | 0.0881045 | + | 0.0320674i | 0.385696 | − | 0.922626i | \(-0.373961\pi\) |
−0.297592 | + | 0.954693i | \(0.596183\pi\) | |||||||
\(744\) | −6.56774e9 | + | 8.62433e9i | −0.584670 | + | 0.767750i | ||||
\(745\) | 1.51488e9 | − | 8.59129e9i | 0.134224 | − | 0.761222i | ||||
\(746\) | 2.44987e9 | + | 4.24330e9i | 0.216052 | + | 0.374212i | ||||
\(747\) | 1.27021e9 | + | 4.60556e9i | 0.111494 | + | 0.404259i | ||||
\(748\) | −3.18030e8 | + | 5.50844e8i | −0.0277851 | + | 0.0481252i | ||||
\(749\) | 6.84812e9 | + | 5.74625e9i | 0.595504 | + | 0.499687i | ||||
\(750\) | −5.37854e8 | − | 1.13655e10i | −0.0465533 | − | 0.983729i | ||||
\(751\) | −3.33526e9 | − | 1.89152e10i | −0.287336 | − | 1.62956i | −0.696820 | − | 0.717246i | \(-0.745402\pi\) |
0.409484 | − | 0.912317i | \(-0.365709\pi\) | |||||||
\(752\) | −7.94983e9 | + | 6.67070e9i | −0.681704 | + | 0.572017i | ||||
\(753\) | 1.08958e10 | − | 2.45736e9i | 0.929988 | − | 0.209742i | ||||
\(754\) | 1.26399e10 | − | 4.60056e9i | 1.07385 | − | 0.390851i | ||||
\(755\) | 6.31356e9 | 0.533900 | ||||||||
\(756\) | 1.20979e9 | − | 9.49556e8i | 0.101832 | − | 0.0799272i | ||||
\(757\) | −8.43102e9 | −0.706390 | −0.353195 | − | 0.935550i | \(-0.614905\pi\) | ||||
−0.353195 | + | 0.935550i | \(0.614905\pi\) | |||||||
\(758\) | 3.25277e9 | − | 1.18391e9i | 0.271275 | − | 0.0987362i | ||||
\(759\) | −2.12403e9 | + | 6.82343e9i | −0.176326 | + | 0.566444i | ||||
\(760\) | −1.20637e10 | + | 1.01227e10i | −0.996861 | + | 0.836466i | ||||
\(761\) | −1.35072e9 | − | 7.66030e9i | −0.111101 | − | 0.630086i | −0.988607 | − | 0.150520i | \(-0.951905\pi\) |
0.877506 | − | 0.479566i | \(-0.159206\pi\) | |||||||
\(762\) | −1.34453e10 | + | 8.63485e9i | −1.10085 | + | 0.706989i | ||||
\(763\) | 3.05917e9 | + | 2.56695e9i | 0.249326 | + | 0.209209i | ||||
\(764\) | 5.43657e8 | − | 9.41641e8i | 0.0441061 | − | 0.0763939i | ||||
\(765\) | 4.34752e9 | + | 6.11331e9i | 0.351097 | + | 0.493698i | ||||
\(766\) | −9.92645e9 | − | 1.71931e10i | −0.797982 | − | 1.38215i | ||||
\(767\) | 4.33708e9 | − | 2.45968e10i | 0.347068 | − | 1.96832i | ||||
\(768\) | 2.52386e9 | + | 6.03071e9i | 0.201049 | + | 0.480401i | ||||
\(769\) | −6.57994e8 | − | 2.39490e8i | −0.0521771 | − | 0.0189909i | 0.315800 | − | 0.948826i | \(-0.397727\pi\) |
−0.367977 | + | 0.929835i | \(0.619949\pi\) | |||||||
\(770\) | 2.79022e9 | + | 1.01556e9i | 0.220252 | + | 0.0801653i | ||||
\(771\) | 2.58789e9 | + | 6.18371e9i | 0.203356 | + | 0.485913i | ||||
\(772\) | −2.49709e8 | + | 1.41617e9i | −0.0195332 | + | 0.110778i | ||||
\(773\) | 8.88428e9 | + | 1.53880e10i | 0.691822 | + | 1.19827i | 0.971240 | + | 0.238101i | \(0.0765249\pi\) |
−0.279419 | + | 0.960169i | \(0.590142\pi\) | |||||||
\(774\) | 1.11684e10 | − | 1.05943e9i | 0.865763 | − | 0.0821254i | ||||
\(775\) | −1.73130e9 | + | 2.99869e9i | −0.133603 | + | 0.231407i | ||||
\(776\) | −1.33024e10 | − | 1.11621e10i | −1.02191 | − | 0.857488i | ||||
\(777\) | −2.06882e9 | + | 1.32864e9i | −0.158215 | + | 0.101609i | ||||
\(778\) | −7.86667e8 | − | 4.46141e9i | −0.0598911 | − | 0.339660i | ||||
\(779\) | −6.40903e9 | + | 5.37781e9i | −0.485748 | + | 0.407591i | ||||
\(780\) | −1.08592e9 | + | 3.48851e9i | −0.0819347 | + | 0.263214i | ||||
\(781\) | −3.01998e9 | + | 1.09918e9i | −0.226843 | + | 0.0825640i | ||||
\(782\) | 1.21133e10 | 0.905817 | ||||||||
\(783\) | −4.89671e9 | + | 7.87553e9i | −0.364534 | + | 0.586291i | ||||
\(784\) | 5.11722e9 | 0.379252 | ||||||||
\(785\) | −1.16675e10 | + | 4.24661e9i | −0.860860 | + | 0.313327i | ||||
\(786\) | −2.32180e10 | + | 5.23640e9i | −1.70548 | + | 0.384640i | ||||
\(787\) | −3.09148e9 | + | 2.59406e9i | −0.226076 | + | 0.189700i | −0.748789 | − | 0.662808i | \(-0.769364\pi\) |
0.522713 | + | 0.852509i | \(0.324920\pi\) | |||||||
\(788\) | −3.60098e8 | − | 2.04222e9i | −0.0262168 | − | 0.148683i | ||||
\(789\) | 2.11706e8 | + | 4.47362e9i | 0.0153449 | + | 0.324257i | ||||
\(790\) | −5.25002e9 | − | 4.40529e9i | −0.378849 | − | 0.317892i | ||||
\(791\) | −5.94996e8 | + | 1.03056e9i | −0.0427461 | + | 0.0740384i | ||||
\(792\) | −4.49020e9 | + | 4.55632e9i | −0.321164 | + | 0.325894i | ||||
\(793\) | −1.61668e10 | − | 2.80018e10i | −1.15125 | − | 1.99402i | ||||
\(794\) | −2.48033e9 | + | 1.40666e10i | −0.175848 | + | 0.997284i | ||||
\(795\) | 7.58094e9 | − | 9.95479e9i | 0.535104 | − | 0.702663i | ||||
\(796\) | 2.16101e8 | + | 7.86543e7i | 0.0151866 | + | 0.00552748i | ||||
\(797\) | −1.85481e10 | − | 6.75097e9i | −1.29776 | − | 0.472348i | −0.401497 | − | 0.915860i | \(-0.631510\pi\) |
−0.896268 | + | 0.443513i | \(0.853732\pi\) | |||||||
\(798\) | 1.34801e10 | + | 1.72459e9i | 0.939039 | + | 0.120137i | ||||
\(799\) | 2.04143e9 | − | 1.15775e10i | 0.141586 | − | 0.802974i | ||||
\(800\) | 7.60141e8 | + | 1.31660e9i | 0.0524903 | + | 0.0909159i | ||||
\(801\) | −2.11640e10 | − | 1.45898e10i | −1.45507 | − | 1.00308i | ||||
\(802\) | −7.22791e9 | + | 1.25191e10i | −0.494769 | + | 0.856965i | ||||
\(803\) | −2.51619e9 | − | 2.11134e9i | −0.171490 | − | 0.143897i | ||||
\(804\) | 1.19428e8 | + | 6.16165e7i | 0.00810418 | + | 0.00418120i | ||||
\(805\) | 2.15180e9 | + | 1.22035e10i | 0.145384 | + | 0.824514i | ||||
\(806\) | −1.70246e10 | + | 1.42853e10i | −1.14526 | + | 0.960986i | ||||
\(807\) | 2.00565e9 | + | 2.17278e9i | 0.134337 | + | 0.145532i | ||||
\(808\) | −1.02776e10 | + | 3.74076e9i | −0.685415 | + | 0.249471i | ||||
\(809\) | −1.59220e10 | −1.05725 | −0.528624 | − | 0.848856i | \(-0.677292\pi\) | ||||
−0.528624 | + | 0.848856i | \(0.677292\pi\) | |||||||
\(810\) | 4.08897e9 | + | 1.07430e10i | 0.270344 | + | 0.710280i | ||||
\(811\) | −8.45100e9 | −0.556333 | −0.278167 | − | 0.960533i | \(-0.589727\pi\) | ||||
−0.278167 | + | 0.960533i | \(0.589727\pi\) | |||||||
\(812\) | −1.28124e9 | + | 4.66333e8i | −0.0839817 | + | 0.0305668i | ||||
\(813\) | 1.83024e10 | + | 1.98276e10i | 1.19451 | + | 1.29406i | ||||
\(814\) | 1.19365e9 | − | 1.00159e9i | 0.0775693 | − | 0.0650884i | ||||
\(815\) | −2.95228e9 | − | 1.67432e10i | −0.191032 | − | 1.08339i | ||||
\(816\) | 7.84633e9 | + | 4.04816e9i | 0.505534 | + | 0.260821i | ||||
\(817\) | −1.66413e10 | − | 1.39637e10i | −1.06760 | − | 0.895823i | ||||
\(818\) | −9.17237e8 | + | 1.58870e9i | −0.0585929 | + | 0.101486i | ||||
\(819\) | 1.86906e10 | − | 8.88247e9i | 1.18886 | − | 0.564989i | ||||
\(820\) | −5.20218e8 | − | 9.01044e8i | −0.0329486 | − | 0.0570686i | ||||
\(821\) | 5.14796e8 | − | 2.91955e9i | 0.0324664 | − | 0.184126i | −0.964262 | − | 0.264951i | \(-0.914644\pi\) |
0.996728 | + | 0.0808247i | \(0.0257554\pi\) | |||||||
\(822\) | −1.84071e10 | − | 2.35494e9i | −1.15594 | − | 0.147886i | ||||
\(823\) | −1.57951e9 | − | 5.74896e8i | −0.0987697 | − | 0.0359492i | 0.292163 | − | 0.956369i | \(-0.405625\pi\) |
−0.390932 | + | 0.920419i | \(0.627847\pi\) | |||||||
\(824\) | 1.71611e10 | + | 6.24611e9i | 1.06856 | + | 0.388924i | ||||
\(825\) | −1.23796e9 | + | 1.62560e9i | −0.0767567 | + | 0.100792i | ||||
\(826\) | 2.00618e9 | − | 1.13776e10i | 0.123863 | − | 0.702460i | ||||
\(827\) | −2.24057e9 | − | 3.88078e9i | −0.137749 | − | 0.238589i | 0.788895 | − | 0.614528i | \(-0.210654\pi\) |
−0.926644 | + | 0.375939i | \(0.877320\pi\) | |||||||
\(828\) | −3.93651e9 | − | 1.02401e9i | −0.240994 | − | 0.0626897i | ||||
\(829\) | 1.50705e10 | − | 2.61029e10i | 0.918728 | − | 1.59128i | 0.117377 | − | 0.993087i | \(-0.462551\pi\) |
0.801350 | − | 0.598196i | \(-0.204115\pi\) | |||||||
\(830\) | −4.02174e9 | − | 3.37464e9i | −0.244141 | − | 0.204859i | ||||
\(831\) | 1.07386e9 | + | 2.26920e10i | 0.0649148 | + | 1.37173i | ||||
\(832\) | 5.84868e9 | + | 3.31695e10i | 0.352067 | + | 1.99667i | ||||
\(833\) | −4.44066e9 | + | 3.72616e9i | −0.266189 | + | 0.223359i | ||||
\(834\) | 2.79762e10 | − | 6.30953e9i | 1.66996 | − | 0.376631i | ||||
\(835\) | 1.21512e10 | − | 4.42266e9i | 0.722296 | − | 0.262894i | ||||
\(836\) | 1.88732e9 | 0.111718 | ||||||||
\(837\) | 3.15209e9 | − | 1.49943e10i | 0.185806 | − | 0.883867i | ||||
\(838\) | 2.82123e10 | 1.65609 | ||||||||
\(839\) | −5.59417e9 | + | 2.03611e9i | −0.327016 | + | 0.119024i | −0.500311 | − | 0.865846i | \(-0.666781\pi\) |
0.173295 | + | 0.984870i | \(0.444559\pi\) | |||||||
\(840\) | −3.29685e9 | + | 1.05911e10i | −0.191921 | + | 0.616543i | ||||
\(841\) | −6.91600e9 | + | 5.80322e9i | −0.400931 | + | 0.336421i | ||||
\(842\) | −5.13538e9 | − | 2.91242e10i | −0.296470 | − | 1.68136i | ||||
\(843\) | −1.99291e10 | + | 1.27988e10i | −1.14575 | + | 0.735825i | ||||
\(844\) | 1.36840e9 | + | 1.14822e9i | 0.0783453 | + | 0.0657395i | ||||
\(845\) | −1.72222e10 | + | 2.98297e10i | −0.981952 | + | 1.70079i | ||||
\(846\) | 7.49361e9 | − | 1.63817e10i | 0.425496 | − | 0.930169i | ||||
\(847\) | 5.20034e9 | + | 9.00725e9i | 0.294063 | + | 0.509331i | ||||
\(848\) | 2.55732e9 | − | 1.45033e10i | 0.144012 | − | 0.816735i | ||||
\(849\) | 1.48501e9 | + | 3.54839e9i | 0.0832820 | + | 0.199000i | ||||
\(850\) | 3.25460e9 | + | 1.18458e9i | 0.181774 | + | 0.0661603i | ||||
\(851\) | 6.11064e9 | + | 2.22409e9i | 0.339886 | + | 0.123708i | ||||
\(852\) | −7.06177e8 | − | 1.68739e9i | −0.0391178 | − | 0.0934711i | ||||
\(853\) | −3.92528e9 | + | 2.22614e10i | −0.216545 | + | 1.22809i | 0.661659 | + | 0.749805i | \(0.269853\pi\) |
−0.878205 | + | 0.478285i | \(0.841259\pi\) | |||||||
\(854\) | −7.47821e9 | − | 1.29526e10i | −0.410861 | − | 0.711632i | ||||
\(855\) | 9.25921e9 | − | 2.02414e10i | 0.506632 | − | 1.10754i | ||||
\(856\) | 1.05821e10 | − | 1.83287e10i | 0.576651 | − | 0.998789i | ||||
\(857\) | 2.23643e10 | + | 1.87659e10i | 1.21373 | + | 1.01844i | 0.999128 | + | 0.0417410i | \(0.0132904\pi\) |
0.214604 | + | 0.976701i | \(0.431154\pi\) | |||||||
\(858\) | −1.10349e10 | + | 7.08684e9i | −0.596435 | + | 0.383043i | ||||
\(859\) | −2.12011e8 | − | 1.20238e9i | −0.0114126 | − | 0.0647238i | 0.978570 | − | 0.205916i | \(-0.0660175\pi\) |
−0.989982 | + | 0.141192i | \(0.954906\pi\) | |||||||
\(860\) | 2.06949e9 | − | 1.73651e9i | 0.110948 | − | 0.0930963i | ||||
\(861\) | −1.75150e9 | + | 5.62666e9i | −0.0935187 | + | 0.300427i | ||||
\(862\) | 1.18887e10 | − | 4.32712e9i | 0.632204 | − | 0.230103i | ||||
\(863\) | 1.31348e10 | 0.695641 | 0.347821 | − | 0.937561i | \(-0.386922\pi\) | ||||
0.347821 | + | 0.937561i | \(0.386922\pi\) | |||||||
\(864\) | −5.00940e9 | − | 4.49023e9i | −0.264233 | − | 0.236848i | ||||
\(865\) | −6.14496e7 | −0.00322822 | ||||||||
\(866\) | 2.42176e10 | − | 8.81450e9i | 1.26712 | − | 0.461196i | ||||
\(867\) | 8.96281e9 | − | 2.02140e9i | 0.467065 | − | 0.105338i | ||||
\(868\) | 1.72569e9 | − | 1.44802e9i | 0.0895659 | − | 0.0751547i | ||||
\(869\) | 9.36099e8 | + | 5.30888e9i | 0.0483896 | + | 0.274431i | ||||
\(870\) | −4.81727e8 | − | 1.01795e10i | −0.0248018 | − | 0.524093i | ||||
\(871\) | 1.38520e9 | + | 1.16232e9i | 0.0710311 | + | 0.0596022i | ||||
\(872\) | 4.72720e9 | − | 8.18775e9i | 0.241433 | − | 0.418174i | ||||
\(873\) | 2.37536e10 | + | 6.17903e9i | 1.20831 | + | 0.314319i | ||||
\(874\) | −1.79714e10 | − | 3.11273e10i | −0.910523 | − | 1.57707i | ||||
\(875\) | −2.69486e9 | + | 1.52833e10i | −0.135990 | + | 0.771239i | ||||
\(876\) | 1.13267e9 | − | 1.48735e9i | 0.0569298 | − | 0.0747565i | ||||
\(877\) | −6.47173e9 | − | 2.35552e9i | −0.323983 | − | 0.117920i | 0.174909 | − | 0.984585i | \(-0.444037\pi\) |
−0.498891 | + | 0.866665i | \(0.666259\pi\) | |||||||
\(878\) | −1.23283e10 | − | 4.48715e9i | −0.614715 | − | 0.223738i | ||||
\(879\) | 3.50703e10 | + | 4.48676e9i | 1.74172 | + | 0.222829i | ||||
\(880\) | 9.93953e8 | − | 5.63699e9i | 0.0491673 | − | 0.278842i | ||||
\(881\) | 1.33545e10 | + | 2.31307e10i | 0.657981 | + | 1.13966i | 0.981138 | + | 0.193310i | \(0.0619225\pi\) |
−0.323157 | + | 0.946345i | \(0.604744\pi\) | |||||||
\(882\) | −8.02283e9 | + | 3.81275e9i | −0.393720 | + | 0.187110i | ||||
\(883\) | 2.76893e9 | − | 4.79593e9i | 0.135347 | − | 0.234428i | −0.790383 | − | 0.612613i | \(-0.790118\pi\) |
0.925730 | + | 0.378185i | \(0.123452\pi\) | |||||||
\(884\) | −3.73164e9 | − | 3.13122e9i | −0.181684 | − | 0.152451i | ||||
\(885\) | −1.68164e10 | − | 8.67607e9i | −0.815512 | − | 0.420748i | ||||
\(886\) | 3.03316e9 | + | 1.72019e10i | 0.146513 | + | 0.830917i | ||||
\(887\) | −1.99202e10 | + | 1.67150e10i | −0.958432 | + | 0.804220i | −0.980697 | − | 0.195532i | \(-0.937357\pi\) |
0.0222654 | + | 0.999752i | \(0.492912\pi\) | |||||||
\(888\) | 3.94822e9 | + | 4.27724e9i | 0.189215 | + | 0.204983i | ||||
\(889\) | 2.04801e10 | − | 7.45416e9i | 0.977635 | − | 0.355830i | ||||
\(890\) | 2.82479e10 | 1.34314 | ||||||||
\(891\) | 2.96790e9 | − | 8.54070e9i | 0.140565 | − | 0.404503i | ||||
\(892\) | −2.25881e9 | −0.106562 | ||||||||
\(893\) | −3.27791e10 | + | 1.19306e10i | −1.54034 | + | 0.560638i | ||||
\(894\) | 1.20890e10 | + | 1.30964e10i | 0.565861 | + | 0.613016i | ||||
\(895\) | 7.08459e9 | − | 5.94468e9i | 0.330320 | − | 0.277171i | ||||
\(896\) | 1.74987e9 | + | 9.92402e9i | 0.0812696 | + | 0.460903i | ||||
\(897\) | −4.86391e10 | − | 2.50944e10i | −2.25015 | − | 1.16092i | ||||
\(898\) | 5.93344e9 | + | 4.97874e9i | 0.273426 | + | 0.229431i | ||||
\(899\) | −6.79193e9 | + | 1.17640e10i | −0.311770 | + | 0.540002i | ||||
\(900\) | −9.57520e8 | − | 6.60085e8i | −0.0437824 | − | 0.0301822i | ||||
\(901\) | 8.34151e9 | + | 1.44479e10i | 0.379934 | + | 0.658064i | ||||
\(902\) | 6.48510e8 | − | 3.67788e9i | 0.0294235 | − | 0.166869i | ||||
\(903\) | −1.51776e10 | − | 1.94176e9i | −0.685955 | − | 0.0877584i | ||||
\(904\) | 2.64737e9 | + | 9.63563e8i | 0.119186 | + | 0.0433801i | ||||
\(905\) | −1.47407e10 | − | 5.36517e9i | −0.661071 | − | 0.240610i | ||||
\(906\) | −7.81484e9 | + | 1.02619e10i | −0.349117 | + | 0.458438i | ||||
\(907\) | 5.53364e7 | − | 3.13829e8i | 0.00246255 | − | 0.0139658i | −0.983552 | − | 0.180627i | \(-0.942187\pi\) |
0.986014 | + | 0.166661i | \(0.0532985\pi\) | |||||||
\(908\) | 1.43949e9 | + | 2.49327e9i | 0.0638130 | + | 0.110527i | ||||
\(909\) | 1.08509e10 | − | 1.10107e10i | 0.479173 | − | 0.486230i | ||||
\(910\) | −1.13703e10 | + | 1.96939e10i | −0.500180 | + | 0.866336i | ||||
\(911\) | −4.41401e9 | − | 3.70379e9i | −0.193428 | − | 0.162305i | 0.540930 | − | 0.841067i | \(-0.318072\pi\) |
−0.734358 | + | 0.678762i | \(0.762517\pi\) | |||||||
\(912\) | −1.23837e9 | − | 2.61683e10i | −0.0540591 | − | 1.14234i | ||||
\(913\) | 7.17091e8 | + | 4.06683e9i | 0.0311836 | + | 0.176851i | ||||
\(914\) | −8.64433e9 | + | 7.25345e9i | −0.374472 | + | 0.314220i | ||||
\(915\) | −2.38965e10 | + | 5.38943e9i | −1.03124 | + | 0.232578i | ||||
\(916\) | 7.29453e9 | − | 2.65499e9i | 0.313590 | − | 0.114138i | ||||
\(917\) | 3.24630e10 | 1.39026 | ||||||||
\(918\) | −1.53178e10 | − | 5.00594e8i | −0.653500 | − | 0.0213568i | ||||
\(919\) | −2.24544e10 | −0.954327 | −0.477163 | − | 0.878815i | \(-0.658335\pi\) | ||||
−0.477163 | + | 0.878815i | \(0.658335\pi\) | |||||||
\(920\) | 2.75678e10 | − | 1.00339e10i | 1.16720 | − | 0.424825i | ||||
\(921\) | 6.64584e8 | − | 2.13497e9i | 0.0280312 | − | 0.0900498i | ||||
\(922\) | −3.07075e10 | + | 2.57667e10i | −1.29029 | + | 1.08268i | ||||
\(923\) | −4.27402e9 | − | 2.42392e10i | −0.178908 | − | 1.01464i | ||||
\(924\) | 1.11855e9 | − | 7.18354e8i | 0.0466447 | − | 0.0299562i | ||||
\(925\) | 1.42430e9 | + | 1.19513e9i | 0.0591707 | + | 0.0496501i | ||||
\(926\) | 9.64359e9 | − | 1.67032e10i | 0.399117 | − | 0.691291i | ||||
\(927\) | −2.56971e10 | + | 2.43760e9i | −1.05951 | + | 0.100504i | ||||
\(928\) | 2.98206e9 | + | 5.16508e9i | 0.122489 | + | 0.212158i | ||||
\(929\) | 5.12439e9 | − | 2.90618e10i | 0.209694 | − | 1.18924i | −0.680185 | − | 0.733040i | \(-0.738101\pi\) |
0.889880 | − | 0.456196i | \(-0.150788\pi\) | |||||||
\(930\) | 6.50020e9 | + | 1.55321e10i | 0.264994 | + | 0.633197i | ||||
\(931\) | 1.61632e10 | + | 5.88291e9i | 0.656452 | + | 0.238929i | ||||
\(932\) | 3.95116e9 | + | 1.43810e9i | 0.159871 | + | 0.0581881i | ||||
\(933\) | 3.97171e8 | + | 9.49030e8i | 0.0160100 | + | 0.0382555i | ||||
\(934\) | −4.23174e9 | + | 2.39994e10i | −0.169943 | + | 0.963797i | ||||
\(935\) | 3.24209e9 | + | 5.61546e9i | 0.129713 | + | 0.224670i | ||||
\(936\) | −2.83933e10 | − | 3.99255e10i | −1.13175 | − | 1.59142i | ||||
\(937\) | −1.17032e10 | + | 2.02706e10i | −0.464748 | + | 0.804967i | −0.999190 | − | 0.0402378i | \(-0.987188\pi\) |
0.534442 | + | 0.845205i | \(0.320522\pi\) | |||||||
\(938\) | 6.40745e8 | + | 5.37649e8i | 0.0253498 | + | 0.0212710i | ||||
\(939\) | 3.08627e9 | − | 1.98207e9i | 0.121648 | − | 0.0781247i | ||||
\(940\) | −7.53283e8 | − | 4.27208e9i | −0.0295809 | − | 0.167761i | ||||
\(941\) | −2.22808e9 | + | 1.86958e9i | −0.0871699 | + | 0.0731442i | −0.685331 | − | 0.728231i | \(-0.740343\pi\) |
0.598161 | + | 0.801376i | \(0.295898\pi\) | |||||||
\(942\) | 7.53947e9 | − | 2.42204e10i | 0.293875 | − | 0.944069i | ||||
\(943\) | 1.46458e10 | − | 5.33062e9i | 0.568749 | − | 0.207008i | ||||
\(944\) | −2.22712e10 | −0.861670 | ||||||||
\(945\) | −2.21671e9 | − | 1.55207e10i | −0.0854472 | − | 0.598272i | ||||
\(946\) | 9.69707e9 | 0.372410 | ||||||||
\(947\) | 2.71238e10 | − | 9.87225e9i | 1.03783 | − | 0.377738i | 0.233772 | − | 0.972292i | \(-0.424893\pi\) |
0.804056 | + | 0.594553i | \(0.202671\pi\) | |||||||
\(948\) | −2.99310e9 | + | 6.75041e8i | −0.114102 | + | 0.0257336i | ||||
\(949\) | 1.92705e10 | − | 1.61698e10i | 0.731914 | − | 0.614149i | ||||
\(950\) | −1.78455e9 | − | 1.01207e10i | −0.0675300 | − | 0.382982i | ||||
\(951\) | 5.86882e7 | + | 1.24016e9i | 0.00221268 | + | 0.0467568i | ||||
\(952\) | −1.13292e10 | − | 9.50635e9i | −0.425570 | − | 0.357096i | ||||
\(953\) | −4.29747e8 | + | 7.44344e8i | −0.0160838 | + | 0.0278579i | −0.873955 | − | 0.486006i | \(-0.838453\pi\) |
0.857871 | + | 0.513864i | \(0.171787\pi\) | |||||||
\(954\) | 6.79674e9 | + | 2.46438e10i | 0.253444 | + | 0.918943i | ||||
\(955\) | −5.54220e9 | − | 9.59937e9i | −0.205907 | − | 0.356641i | ||||
\(956\) | −1.01206e9 | + | 5.73970e9i | −0.0374632 | + | 0.212464i | ||||
\(957\) | −4.85654e9 | + | 6.37729e9i | −0.179116 | + | 0.235204i | ||||
\(958\) | −2.16945e10 | − | 7.89616e9i | −0.797207 | − | 0.290160i | ||||
\(959\) | 2.37841e10 | + | 8.65672e9i | 0.870808 | + | 0.316948i | ||||
\(960\) | 2.53113e10 | + | 3.23823e9i | 0.923348 | + | 0.118130i | ||||
\(961\) | −8.80280e8 | + | 4.99231e9i | −0.0319955 | + | 0.181455i | ||||
\(962\) | 5.96677e9 | + | 1.03348e10i | 0.216086 | + | 0.374272i | ||||
\(963\) | −2.38927e9 | + | 2.98183e10i | −0.0862133 | + | 1.07595i | ||||
\(964\) | 2.51633e9 | − | 4.35841e9i | 0.0904686 | − | 0.156696i | ||||
\(965\) | 1.12299e10 | + | 9.42299e9i | 0.402281 | + | 0.337554i | ||||
\(966\) | −2.24988e10 | − | 1.16078e10i | −0.803042 | − | 0.414314i | ||||
\(967\) | 3.88128e9 | + | 2.20118e10i | 0.138033 | + | 0.782822i | 0.972700 | + | 0.232067i | \(0.0745490\pi\) |
−0.834667 | + | 0.550755i | \(0.814340\pi\) | |||||||
\(968\) | 1.88625e10 | − | 1.58275e10i | 0.668400 | − | 0.560854i | ||||
\(969\) | 2.01294e10 | + | 2.18068e10i | 0.710718 | + | 0.769944i | ||||
\(970\) | −2.53450e10 | + | 9.22482e9i | −0.891643 | + | 0.324532i | ||||
\(971\) | −4.15665e10 | −1.45706 | −0.728528 | − | 0.685016i | \(-0.759795\pi\) | ||||
−0.728528 | + | 0.685016i | \(0.759795\pi\) | |||||||
\(972\) | 4.93555e9 | + | 1.45757e9i | 0.172387 | + | 0.0509094i | ||||
\(973\) | −3.91158e10 | −1.36131 | ||||||||
\(974\) | −2.90511e10 | + | 1.05737e10i | −1.00741 | + | 0.366667i | ||||
\(975\) | −1.06143e10 | − | 1.14988e10i | −0.366755 | − | 0.397317i | ||||
\(976\) | −2.20864e10 | + | 1.85327e10i | −0.760414 | + | 0.638063i | ||||
\(977\) | −4.84523e9 | − | 2.74787e10i | −0.166220 | − | 0.942681i | −0.947798 | − | 0.318873i | \(-0.896696\pi\) |
0.781577 | − | 0.623808i | \(-0.214415\pi\) | |||||||
\(978\) | 3.08683e10 | + | 1.59259e10i | 1.05518 | + | 0.544401i | ||||
\(979\) | −1.70210e10 | − | 1.42823e10i | −0.579755 | − | 0.486472i | ||||
\(980\) | −1.06952e9 | + | 1.85246e9i | −0.0362992 | + | 0.0628720i | ||||
\(981\) | −1.06733e9 | + | 1.33203e10i | −0.0360958 | + | 0.450478i | ||||
\(982\) | 1.28064e10 | + | 2.21813e10i | 0.431554 | + | 0.747474i | ||||
\(983\) | 1.93013e9 | − | 1.09463e10i | 0.0648109 | − | 0.367561i | −0.935102 | − | 0.354378i | \(-0.884693\pi\) |
0.999913 | − | 0.0131829i | \(-0.00419635\pi\) | |||||||
\(984\) | 1.38386e10 | + | 1.77046e9i | 0.463031 | + | 0.0592384i | ||||
\(985\) | −1.98652e10 | − | 7.23036e9i | −0.662319 | − | 0.241064i | ||||
\(986\) | 1.27679e10 | + | 4.64714e9i | 0.424180 | + | 0.154389i | ||||
\(987\) | −1.48860e10 | + | 1.95473e10i | −0.492796 | + | 0.647108i | ||||
\(988\) | −2.50994e9 | + | 1.42346e10i | −0.0827969 | + | 0.469564i | ||||
\(989\) | 2.02344e10 | + | 3.50470e10i | 0.665124 | + | 1.15203i | ||||
\(990\) | 2.64169e9 | + | 9.57830e9i | 0.0865283 | + | 0.313737i | ||||
\(991\) | −1.31684e10 | + | 2.28083e10i | −0.429808 | + | 0.744449i | −0.996856 | − | 0.0792357i | \(-0.974752\pi\) |
0.567048 | + | 0.823685i | \(0.308085\pi\) | |||||||
\(992\) | −7.54854e9 | − | 6.33398e9i | −0.245512 | − | 0.206009i | ||||
\(993\) | −2.49580e9 | − | 5.27394e10i | −0.0808886 | − | 1.70928i | ||||
\(994\) | −1.97701e9 | − | 1.12122e10i | −0.0638494 | − | 0.362108i | ||||
\(995\) | 1.79590e9 | − | 1.50694e9i | 0.0577965 | − | 0.0484970i | ||||
\(996\) | −2.29284e9 | + | 5.17110e8i | −0.0735304 | + | 0.0165835i | ||||
\(997\) | 1.21902e10 | − | 4.43689e9i | 0.389565 | − | 0.141790i | −0.139810 | − | 0.990178i | \(-0.544649\pi\) |
0.529374 | + | 0.848389i | \(0.322427\pi\) | |||||||
\(998\) | −1.16994e10 | −0.372568 | ||||||||
\(999\) | −7.63521e9 | − | 3.06497e9i | −0.242294 | − | 0.0972629i |
(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 | 27.8.e.a.7.6 | yes | 120 | |
3.2 | odd | 2 | 81.8.e.a.19.15 | 120 | |||
27.4 | even | 9 | inner | 27.8.e.a.4.6 | ✓ | 120 | |
27.23 | odd | 18 | 81.8.e.a.64.15 | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
27.8.e.a.4.6 | ✓ | 120 | 27.4 | even | 9 | inner | |
27.8.e.a.7.6 | yes | 120 | 1.1 | even | 1 | trivial | |
81.8.e.a.19.15 | 120 | 3.2 | odd | 2 | |||
81.8.e.a.64.15 | 120 | 27.23 | odd | 18 |