Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [43,10,Mod(9,43)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(43, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("43.9");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 43 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 43.g (of order \(21\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(22.1465409550\) |
Analytic rank: | \(0\) |
Dimension: | \(384\) |
Relative dimension: | \(32\) over \(\Q(\zeta_{21})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{21}]$ |
Embedding invariants
Embedding label | 10.32 | ||
Character | \(\chi\) | \(=\) | 43.10 |
Dual form | 43.10.g.a.13.32 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{5}{21}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 9.69863 | + | 42.4925i | 0.428623 | + | 1.87792i | 0.476684 | + | 0.879075i | \(0.341839\pi\) |
−0.0480608 | + | 0.998844i | \(0.515304\pi\) | |||||||
\(3\) | −28.1854 | − | 26.1522i | −0.200899 | − | 0.186407i | 0.573307 | − | 0.819341i | \(-0.305660\pi\) |
−0.774206 | + | 0.632933i | \(0.781851\pi\) | |||||||
\(4\) | −1250.25 | + | 602.089i | −2.44189 | + | 1.17595i | ||||
\(5\) | 461.591 | − | 69.5736i | 0.330288 | − | 0.0497828i | 0.0181948 | − | 0.999834i | \(-0.494208\pi\) |
0.312093 | + | 0.950052i | \(0.398970\pi\) | |||||||
\(6\) | 837.913 | − | 1451.31i | 0.263948 | − | 0.457171i | ||||
\(7\) | 1972.96 | + | 3417.27i | 0.310583 | + | 0.537946i | 0.978489 | − | 0.206300i | \(-0.0661423\pi\) |
−0.667905 | + | 0.744246i | \(0.732809\pi\) | |||||||
\(8\) | −23796.4 | − | 29839.7i | −2.05402 | − | 2.57567i | ||||
\(9\) | −1360.43 | − | 18153.7i | −0.0691172 | − | 0.922306i | ||||
\(10\) | 7433.15 | + | 18939.4i | 0.235057 | + | 0.598915i | ||||
\(11\) | −70140.0 | − | 33777.6i | −1.44444 | − | 0.695604i | −0.462817 | − | 0.886454i | \(-0.653161\pi\) |
−0.981619 | + | 0.190850i | \(0.938876\pi\) | |||||||
\(12\) | 50984.8 | + | 15726.7i | 0.709782 | + | 0.218939i | ||||
\(13\) | 30257.9 | − | 77095.7i | 0.293828 | − | 0.748661i | −0.705379 | − | 0.708831i | \(-0.749223\pi\) |
0.999206 | − | 0.0398305i | \(-0.0126818\pi\) | |||||||
\(14\) | −126073. | + | 116979.i | −0.877096 | + | 0.813826i | ||||
\(15\) | −14829.6 | − | 10110.7i | −0.0756344 | − | 0.0515667i | ||||
\(16\) | 594188. | − | 745088.i | 2.26665 | − | 2.84229i | ||||
\(17\) | 523176. | + | 78856.1i | 1.51924 | + | 0.228989i | 0.855040 | − | 0.518562i | \(-0.173532\pi\) |
0.664204 | + | 0.747551i | \(0.268771\pi\) | |||||||
\(18\) | 758203. | − | 233875.i | 1.70239 | − | 0.525118i | ||||
\(19\) | −13335.4 | + | 177949.i | −0.0234755 | + | 0.313259i | 0.973088 | + | 0.230432i | \(0.0740139\pi\) |
−0.996564 | + | 0.0828270i | \(0.973605\pi\) | |||||||
\(20\) | −535215. | + | 364903.i | −0.747985 | + | 0.509968i | ||||
\(21\) | 33760.6 | − | 147915.i | 0.0378811 | − | 0.165968i | ||||
\(22\) | 755033. | − | 3.30802e6i | 0.687170 | − | 3.01069i | ||||
\(23\) | −1.21419e6 | + | 827819.i | −0.904712 | + | 0.616823i | −0.923750 | − | 0.382996i | \(-0.874892\pi\) |
0.0190374 | + | 0.999819i | \(0.493940\pi\) | |||||||
\(24\) | −109665. | + | 1.46337e6i | −0.0674708 | + | 0.900335i | ||||
\(25\) | −1.65813e6 | + | 511465.i | −0.848961 | + | 0.261870i | ||||
\(26\) | 3.56945e6 | + | 538008.i | 1.53187 | + | 0.230892i | ||||
\(27\) | −908273. | + | 1.13894e6i | −0.328912 | + | 0.412442i | ||||
\(28\) | −4.52420e6 | − | 3.08455e6i | −1.39101 | − | 0.948376i | ||||
\(29\) | 3.59348e6 | − | 3.33426e6i | 0.943461 | − | 0.875404i | −0.0488961 | − | 0.998804i | \(-0.515570\pi\) |
0.992357 | + | 0.123400i | \(0.0393798\pi\) | |||||||
\(30\) | 285800. | − | 728207.i | 0.0644194 | − | 0.164138i | ||||
\(31\) | −4.61179e6 | − | 1.42255e6i | −0.896895 | − | 0.276655i | −0.188167 | − | 0.982137i | \(-0.560255\pi\) |
−0.708728 | + | 0.705482i | \(0.750731\pi\) | |||||||
\(32\) | 1.98174e7 | + | 9.54357e6i | 3.34097 | + | 1.60893i | ||||
\(33\) | 1.09356e6 | + | 2.78635e6i | 0.160521 | + | 0.409000i | ||||
\(34\) | 1.72330e6 | + | 2.29958e7i | 0.221159 | + | 2.95117i | ||||
\(35\) | 1.14845e6 | + | 1.44012e6i | 0.129362 | + | 0.162215i | ||||
\(36\) | 1.26310e7 | + | 2.18776e7i | 1.25337 | + | 2.17089i | ||||
\(37\) | 3.78228e6 | − | 6.55110e6i | 0.331777 | − | 0.574654i | −0.651083 | − | 0.759006i | \(-0.725685\pi\) |
0.982860 | + | 0.184352i | \(0.0590186\pi\) | |||||||
\(38\) | −7.69081e6 | + | 1.15920e6i | −0.598337 | + | 0.0901848i | ||||
\(39\) | −2.86906e6 | + | 1.38166e6i | −0.198586 | + | 0.0956339i | ||||
\(40\) | −1.30602e7 | − | 1.21181e7i | −0.806643 | − | 0.748455i | ||||
\(41\) | −3.72724e6 | − | 1.63301e7i | −0.205997 | − | 0.902531i | −0.967200 | − | 0.254017i | \(-0.918248\pi\) |
0.761203 | − | 0.648514i | \(-0.224609\pi\) | |||||||
\(42\) | 6.61269e6 | 0.327911 | ||||||||
\(43\) | −2.93364e6 | − | 2.22258e7i | −0.130858 | − | 0.991401i | ||||
\(44\) | 1.08030e8 | 4.34516 | ||||||||
\(45\) | −1.89099e6 | − | 8.28495e6i | −0.0687436 | − | 0.301185i | ||||
\(46\) | −4.69520e7 | − | 4.35651e7i | −1.54612 | − | 1.43459i | ||||
\(47\) | −2.24782e7 | + | 1.08249e7i | −0.671926 | + | 0.323583i | −0.738553 | − | 0.674195i | \(-0.764491\pi\) |
0.0666268 | + | 0.997778i | \(0.478776\pi\) | |||||||
\(48\) | −3.62331e7 | + | 5.46127e6i | −0.985191 | + | 0.148494i | ||||
\(49\) | 1.23916e7 | − | 2.14629e7i | 0.307076 | − | 0.531871i | ||||
\(50\) | −3.78150e7 | − | 6.54974e7i | −0.855655 | − | 1.48204i | ||||
\(51\) | −1.26837e7 | − | 1.59048e7i | −0.262530 | − | 0.329202i | ||||
\(52\) | 8.58860e6 | + | 1.14607e8i | 0.162895 | + | 2.17368i | ||||
\(53\) | 105846. | + | 269690.i | 0.00184260 | + | 0.00469487i | 0.931792 | − | 0.362992i | \(-0.118245\pi\) |
−0.929949 | + | 0.367687i | \(0.880150\pi\) | |||||||
\(54\) | −5.72053e7 | − | 2.75486e7i | −0.915513 | − | 0.440888i | ||||
\(55\) | −3.47260e7 | − | 1.07116e7i | −0.511708 | − | 0.157841i | ||||
\(56\) | 5.50211e7 | − | 1.40191e8i | 0.747623 | − | 1.90491i | ||||
\(57\) | 5.02962e6 | − | 4.66680e6i | 0.0631100 | − | 0.0585575i | ||||
\(58\) | 1.76533e8 | + | 1.20358e8i | 2.04833 | + | 1.39653i | ||||
\(59\) | −1.82020e7 | + | 2.28246e7i | −0.195563 | + | 0.245228i | −0.869938 | − | 0.493161i | \(-0.835841\pi\) |
0.674376 | + | 0.738389i | \(0.264413\pi\) | |||||||
\(60\) | 2.46283e7 | + | 3.71211e6i | 0.245331 | + | 0.0369778i | ||||
\(61\) | 6.63188e7 | − | 2.04566e7i | 0.613271 | − | 0.189169i | 0.0274682 | − | 0.999623i | \(-0.491255\pi\) |
0.585803 | + | 0.810454i | \(0.300779\pi\) | |||||||
\(62\) | 1.57196e7 | − | 2.09763e8i | 0.135107 | − | 1.80288i | ||||
\(63\) | 5.93522e7 | − | 4.04657e7i | 0.474684 | − | 0.323634i | ||||
\(64\) | −1.04752e8 | + | 4.58946e8i | −0.780460 | + | 3.41942i | ||||
\(65\) | 8.60292e6 | − | 3.76918e7i | 0.0597772 | − | 0.261901i | ||||
\(66\) | −1.07793e8 | + | 7.34920e7i | −0.699266 | + | 0.476752i | ||||
\(67\) | 1.87080e7 | − | 2.49641e8i | 0.113420 | − | 1.51349i | −0.592715 | − | 0.805412i | \(-0.701944\pi\) |
0.706136 | − | 0.708077i | \(-0.250437\pi\) | |||||||
\(68\) | −7.01579e8 | + | 2.16408e8i | −3.97911 | + | 1.22739i | ||||
\(69\) | 5.58717e7 | + | 8.42130e6i | 0.296736 | + | 0.0447258i | ||||
\(70\) | −5.00557e7 | + | 6.27678e7i | −0.249179 | + | 0.312461i | ||||
\(71\) | −6.89696e7 | − | 4.70227e7i | −0.322103 | − | 0.219606i | 0.391463 | − | 0.920194i | \(-0.371969\pi\) |
−0.713567 | + | 0.700587i | \(0.752921\pi\) | |||||||
\(72\) | −5.09329e8 | + | 4.72588e8i | −2.23358 | + | 2.07246i | ||||
\(73\) | −1.13017e8 | + | 2.87963e8i | −0.465791 | + | 1.18682i | 0.484316 | + | 0.874893i | \(0.339069\pi\) |
−0.950107 | + | 0.311924i | \(0.899027\pi\) | |||||||
\(74\) | 3.15055e8 | + | 9.71817e7i | 1.22136 | + | 0.376740i | ||||
\(75\) | 6.01109e7 | + | 2.89479e7i | 0.219370 | + | 0.105643i | ||||
\(76\) | −9.04683e7 | − | 2.30509e8i | −0.311054 | − | 0.792552i | ||||
\(77\) | −2.29562e7 | − | 3.06330e8i | −0.0744204 | − | 0.993072i | ||||
\(78\) | −8.65362e7 | − | 1.08513e8i | −0.264711 | − | 0.331937i | ||||
\(79\) | −3.54486e7 | − | 6.13988e7i | −0.102395 | − | 0.177353i | 0.810276 | − | 0.586048i | \(-0.199317\pi\) |
−0.912671 | + | 0.408696i | \(0.865984\pi\) | |||||||
\(80\) | 2.22433e8 | − | 3.85266e8i | 0.607148 | − | 1.05161i | ||||
\(81\) | −2.98934e8 | + | 4.50571e7i | −0.771601 | + | 0.116300i | ||||
\(82\) | 6.57758e8 | − | 3.16760e8i | 1.60659 | − | 0.773691i | ||||
\(83\) | −5.07558e8 | − | 4.70945e8i | −1.17391 | − | 1.08923i | −0.994423 | − | 0.105467i | \(-0.966366\pi\) |
−0.179486 | − | 0.983761i | \(-0.557443\pi\) | |||||||
\(84\) | 4.68486e7 | + | 2.05257e8i | 0.102669 | + | 0.449823i | ||||
\(85\) | 2.46980e8 | 0.513187 | ||||||||
\(86\) | 9.15977e8 | − | 3.40217e8i | 1.80568 | − | 0.670677i | ||||
\(87\) | −1.88482e8 | −0.352722 | ||||||||
\(88\) | 6.61162e8 | + | 2.89674e9i | 1.17526 | + | 5.14917i | ||||
\(89\) | −2.21415e8 | − | 2.05443e8i | −0.374070 | − | 0.347086i | 0.470626 | − | 0.882333i | \(-0.344028\pi\) |
−0.844696 | + | 0.535247i | \(0.820219\pi\) | |||||||
\(90\) | 3.33708e8 | − | 1.60705e8i | 0.536136 | − | 0.258190i | ||||
\(91\) | 3.23155e8 | − | 4.87078e7i | 0.493997 | − | 0.0744581i | ||||
\(92\) | 1.01962e9 | − | 1.76603e9i | 1.48386 | − | 2.57012i | ||||
\(93\) | 9.27822e7 | + | 1.60704e8i | 0.128615 | + | 0.222768i | ||||
\(94\) | −6.77986e8 | − | 8.50168e8i | −0.895665 | − | 1.12313i | ||||
\(95\) | 6.22503e6 | + | 8.30673e7i | 0.00784125 | + | 0.104634i | ||||
\(96\) | −3.08976e8 | − | 7.87259e8i | −0.371283 | − | 0.946013i | ||||
\(97\) | −1.16026e9 | − | 5.58750e8i | −1.33070 | − | 0.640832i | −0.372796 | − | 0.927913i | \(-0.621601\pi\) |
−0.957906 | + | 0.287081i | \(0.907315\pi\) | |||||||
\(98\) | 1.03219e9 | + | 3.18390e8i | 1.13043 | + | 0.348692i | ||||
\(99\) | −5.17769e8 | + | 1.31925e9i | −0.541724 | + | 1.38029i | ||||
\(100\) | 1.76513e9 | − | 1.63780e9i | 1.76513 | − | 1.63780i | ||||
\(101\) | 1.17213e9 | + | 7.99143e8i | 1.12080 | + | 0.764150i | 0.974343 | − | 0.225067i | \(-0.0722601\pi\) |
0.146459 | + | 0.989217i | \(0.453213\pi\) | |||||||
\(102\) | 5.52820e8 | − | 6.93215e8i | 0.505689 | − | 0.634113i | ||||
\(103\) | −2.53394e8 | − | 3.81929e7i | −0.221834 | − | 0.0334361i | 0.0371847 | − | 0.999308i | \(-0.488161\pi\) |
−0.259019 | + | 0.965872i | \(0.583399\pi\) | |||||||
\(104\) | −3.02054e9 | + | 9.31713e8i | −2.53183 | + | 0.780966i | ||||
\(105\) | 5.29261e6 | − | 7.06249e7i | 0.00424930 | − | 0.0567030i | ||||
\(106\) | −1.04332e7 | + | 7.11326e6i | −0.00802680 | + | 0.00547258i | ||||
\(107\) | 1.08392e8 | − | 4.74894e8i | 0.0799408 | − | 0.350243i | −0.919100 | − | 0.394023i | \(-0.871083\pi\) |
0.999041 | + | 0.0437799i | \(0.0139400\pi\) | |||||||
\(108\) | 4.49827e8 | − | 1.97082e9i | 0.318155 | − | 1.39393i | ||||
\(109\) | −1.40383e9 | + | 9.57115e8i | −0.952566 | + | 0.649448i | −0.936591 | − | 0.350424i | \(-0.886038\pi\) |
−0.0159747 | + | 0.999872i | \(0.505085\pi\) | |||||||
\(110\) | 1.18366e8 | − | 1.57948e9i | 0.0770830 | − | 1.02860i | ||||
\(111\) | −2.77931e8 | + | 8.57304e7i | −0.173774 | + | 0.0536020i | ||||
\(112\) | 3.71848e9 | + | 5.60471e8i | 2.23298 | + | 0.336567i | ||||
\(113\) | 7.30887e8 | − | 9.16503e8i | 0.421694 | − | 0.528787i | −0.524923 | − | 0.851150i | \(-0.675906\pi\) |
0.946616 | + | 0.322363i | \(0.104477\pi\) | |||||||
\(114\) | 2.47084e8 | + | 1.68459e8i | 0.137017 | + | 0.0934164i | ||||
\(115\) | −5.02864e8 | + | 4.66589e8i | −0.268108 | + | 0.248768i | ||||
\(116\) | −2.48523e9 | + | 6.33225e9i | −1.27440 | + | 3.24711i | ||||
\(117\) | −1.44074e9 | − | 4.44409e8i | −0.710803 | − | 0.219254i | ||||
\(118\) | −1.14641e9 | − | 5.52082e8i | −0.544341 | − | 0.262141i | ||||
\(119\) | 7.62735e8 | + | 1.94342e9i | 0.348668 | + | 0.888392i | ||||
\(120\) | 5.11919e7 | + | 6.83109e8i | 0.0225365 | + | 0.300728i | ||||
\(121\) | 2.30853e9 | + | 2.89480e9i | 0.979042 | + | 1.22768i | ||||
\(122\) | 1.51245e9 | + | 2.61965e9i | 0.618106 | + | 1.07059i | ||||
\(123\) | −3.22015e8 | + | 5.57747e8i | −0.126854 | + | 0.219717i | ||||
\(124\) | 6.62239e9 | − | 9.98164e8i | 2.51546 | − | 0.379144i | ||||
\(125\) | −1.55123e9 | + | 7.47033e8i | −0.568305 | + | 0.273681i | ||||
\(126\) | 2.29512e9 | + | 2.12956e9i | 0.811219 | + | 0.752701i | ||||
\(127\) | −4.49947e8 | − | 1.97135e9i | −0.153478 | − | 0.672429i | −0.991859 | − | 0.127344i | \(-0.959355\pi\) |
0.838381 | − | 0.545085i | \(-0.183503\pi\) | |||||||
\(128\) | −9.25592e9 | −3.04772 | ||||||||
\(129\) | −4.98569e8 | + | 7.03164e8i | −0.158515 | + | 0.223565i | ||||
\(130\) | 1.68506e9 | 0.517451 | ||||||||
\(131\) | 3.16107e8 | + | 1.38496e9i | 0.0937807 | + | 0.410880i | 0.999927 | − | 0.0120842i | \(-0.00384662\pi\) |
−0.906146 | + | 0.422965i | \(0.860989\pi\) | |||||||
\(132\) | −3.04486e9 | − | 2.82521e9i | −0.872940 | − | 0.809970i | ||||
\(133\) | −6.34410e8 | + | 3.05516e8i | −0.175808 | + | 0.0846645i | ||||
\(134\) | 1.07893e10 | − | 1.62623e9i | 2.89082 | − | 0.435722i | ||||
\(135\) | −3.40011e8 | + | 5.88915e8i | −0.0881029 | + | 0.152599i | ||||
\(136\) | −1.00966e10 | − | 1.74879e10i | −2.53077 | − | 4.38341i | ||||
\(137\) | −1.88473e9 | − | 2.36338e9i | −0.457096 | − | 0.573180i | 0.498863 | − | 0.866681i | \(-0.333751\pi\) |
−0.955959 | + | 0.293501i | \(0.905180\pi\) | |||||||
\(138\) | 1.84037e8 | + | 2.45580e9i | 0.0431965 | + | 0.576418i | ||||
\(139\) | 3.15509e9 | + | 8.03904e9i | 0.716878 | + | 1.82658i | 0.538524 | + | 0.842610i | \(0.318982\pi\) |
0.178354 | + | 0.983966i | \(0.442923\pi\) | |||||||
\(140\) | −2.30293e9 | − | 1.10903e9i | −0.506647 | − | 0.243988i | ||||
\(141\) | 9.16654e8 | + | 2.82750e8i | 0.195308 | + | 0.0602445i | ||||
\(142\) | 1.32920e9 | − | 3.38674e9i | 0.274342 | − | 0.699013i | ||||
\(143\) | −4.72640e9 | + | 4.38545e9i | −0.945187 | + | 0.877006i | ||||
\(144\) | −1.43345e10 | − | 9.77309e9i | −2.77812 | − | 1.89409i | ||||
\(145\) | 1.42674e9 | − | 1.78908e9i | 0.268033 | − | 0.336103i | ||||
\(146\) | −1.33324e10 | − | 2.00953e9i | −2.42840 | − | 0.366022i | ||||
\(147\) | −9.10566e8 | + | 2.80872e8i | −0.160836 | + | 0.0496114i | ||||
\(148\) | −7.84452e8 | + | 1.04678e10i | −0.134397 | + | 1.79340i | ||||
\(149\) | −3.24430e9 | + | 2.21193e9i | −0.539242 | + | 0.367649i | −0.802104 | − | 0.597185i | \(-0.796286\pi\) |
0.262862 | + | 0.964833i | \(0.415334\pi\) | |||||||
\(150\) | −6.47074e8 | + | 2.83502e9i | −0.104362 | + | 0.457241i | ||||
\(151\) | 8.45509e8 | − | 3.70442e9i | 0.132349 | − | 0.579861i | −0.864645 | − | 0.502384i | \(-0.832456\pi\) |
0.996994 | − | 0.0774770i | \(-0.0246864\pi\) | |||||||
\(152\) | 5.62727e9 | − | 3.83661e9i | 0.855070 | − | 0.582977i | ||||
\(153\) | 7.19786e8 | − | 9.60488e9i | 0.106192 | − | 1.41703i | ||||
\(154\) | 1.27941e10 | − | 3.94644e9i | 1.83301 | − | 0.565409i | ||||
\(155\) | −2.22773e9 | − | 3.35776e8i | −0.310006 | − | 0.0467259i | ||||
\(156\) | 2.75515e9 | − | 3.45485e9i | 0.372465 | − | 0.467056i | ||||
\(157\) | 8.85680e9 | + | 6.03846e9i | 1.16340 | + | 0.793191i | 0.981751 | − | 0.190173i | \(-0.0609048\pi\) |
0.181647 | + | 0.983364i | \(0.441857\pi\) | |||||||
\(158\) | 2.26518e9 | − | 2.10178e9i | 0.289166 | − | 0.268306i | ||||
\(159\) | 4.06970e6 | − | 1.03694e7i | 0.000504981 | − | 0.00128667i | ||||
\(160\) | 9.81152e9 | + | 3.02645e9i | 1.18358 | + | 0.365085i | ||||
\(161\) | −5.22444e9 | − | 2.51596e9i | −0.612806 | − | 0.295112i | ||||
\(162\) | −4.81384e9 | − | 1.22655e10i | −0.549128 | − | 1.39916i | ||||
\(163\) | 9.81396e8 | + | 1.30958e10i | 0.108893 | + | 1.45308i | 0.737497 | + | 0.675351i | \(0.236008\pi\) |
−0.628604 | + | 0.777726i | \(0.716373\pi\) | |||||||
\(164\) | 1.44922e10 | + | 1.81726e10i | 1.56436 | + | 1.96164i | ||||
\(165\) | 6.98635e8 | + | 1.21007e9i | 0.0733791 | + | 0.127096i | ||||
\(166\) | 1.50890e10 | − | 2.61349e10i | 1.54232 | − | 2.67137i | ||||
\(167\) | −7.63744e9 | + | 1.15116e9i | −0.759843 | + | 0.114528i | −0.517524 | − | 0.855669i | \(-0.673146\pi\) |
−0.242319 | + | 0.970197i | \(0.577908\pi\) | |||||||
\(168\) | −5.21711e9 | + | 2.51243e9i | −0.505287 | + | 0.243333i | ||||
\(169\) | 2.74543e9 | + | 2.54739e9i | 0.258893 | + | 0.240218i | ||||
\(170\) | 2.39536e9 | + | 1.04948e10i | 0.219964 | + | 0.963724i | ||||
\(171\) | 3.24858e9 | 0.290543 | ||||||||
\(172\) | 1.70497e10 | + | 2.60215e10i | 1.48538 | + | 2.26701i | ||||
\(173\) | −1.71074e10 | −1.45204 | −0.726018 | − | 0.687676i | \(-0.758631\pi\) | ||||
−0.726018 | + | 0.687676i | \(0.758631\pi\) | |||||||
\(174\) | −1.82802e9 | − | 8.00906e9i | −0.151185 | − | 0.662384i | ||||
\(175\) | −5.01924e9 | − | 4.65718e9i | −0.404545 | − | 0.375363i | ||||
\(176\) | −6.68436e10 | + | 3.21902e10i | −5.25113 | + | 2.52881i | ||||
\(177\) | 1.10995e9 | − | 1.67298e8i | 0.0850007 | − | 0.0128118i | ||||
\(178\) | 6.58237e9 | − | 1.14010e10i | 0.491465 | − | 0.851242i | ||||
\(179\) | 1.05667e10 | + | 1.83021e10i | 0.769311 | + | 1.33249i | 0.937937 | + | 0.346805i | \(0.112734\pi\) |
−0.168626 | + | 0.985680i | \(0.553933\pi\) | |||||||
\(180\) | 7.35248e9 | + | 9.21972e9i | 0.522045 | + | 0.654623i | ||||
\(181\) | −1.06981e9 | − | 1.42756e10i | −0.0740888 | − | 0.988646i | −0.903104 | − | 0.429421i | \(-0.858718\pi\) |
0.829016 | − | 0.559225i | \(-0.188901\pi\) | |||||||
\(182\) | 5.20387e9 | + | 1.32593e10i | 0.351565 | + | 0.895773i | ||||
\(183\) | −2.40421e9 | − | 1.15781e9i | −0.158468 | − | 0.0763143i | ||||
\(184\) | 5.35951e10 | + | 1.65319e10i | 3.44703 | + | 1.06327i | ||||
\(185\) | 1.29008e9 | − | 3.28708e9i | 0.0809738 | − | 0.206318i | ||||
\(186\) | −5.92883e9 | + | 5.50115e9i | −0.363212 | + | 0.337012i | ||||
\(187\) | −3.40320e10 | − | 2.32026e10i | −2.03517 | − | 1.38755i | ||||
\(188\) | 2.15858e10 | − | 2.70678e10i | 1.26025 | − | 1.58031i | ||||
\(189\) | −5.68406e9 | − | 8.56734e8i | −0.324026 | − | 0.0488391i | ||||
\(190\) | −3.46936e9 | + | 1.07016e9i | −0.193134 | + | 0.0595739i | ||||
\(191\) | 1.52780e9 | − | 2.03871e10i | 0.0830649 | − | 1.10842i | −0.787482 | − | 0.616338i | \(-0.788615\pi\) |
0.870547 | − | 0.492086i | \(-0.163765\pi\) | |||||||
\(192\) | 1.49549e10 | − | 1.01961e10i | 0.794198 | − | 0.541475i | ||||
\(193\) | −4.97948e9 | + | 2.18165e10i | −0.258331 | + | 1.13182i | 0.664705 | + | 0.747106i | \(0.268557\pi\) |
−0.923036 | + | 0.384714i | \(0.874300\pi\) | |||||||
\(194\) | 1.24898e10 | − | 5.47212e10i | 0.633062 | − | 2.77363i | ||||
\(195\) | −1.22820e9 | + | 8.37374e8i | −0.0608295 | + | 0.0414728i | ||||
\(196\) | −2.57005e9 | + | 3.42949e10i | −0.124391 | + | 1.65988i | ||||
\(197\) | 1.36179e10 | − | 4.20058e9i | 0.644189 | − | 0.198706i | 0.0445887 | − | 0.999005i | \(-0.485802\pi\) |
0.599601 | + | 0.800299i | \(0.295326\pi\) | |||||||
\(198\) | −6.10800e10 | − | 9.20633e9i | −2.82427 | − | 0.425690i | ||||
\(199\) | 2.21381e10 | − | 2.77603e10i | 1.00069 | − | 1.25483i | 0.0338593 | − | 0.999427i | \(-0.489220\pi\) |
0.966834 | − | 0.255404i | \(-0.0822084\pi\) | |||||||
\(200\) | 5.47194e10 | + | 3.73070e10i | 2.41828 | + | 1.64875i | ||||
\(201\) | −7.05596e9 | + | 6.54697e9i | −0.304911 | + | 0.282917i | ||||
\(202\) | −2.25895e10 | + | 5.75572e10i | −0.954610 | + | 2.43231i | ||||
\(203\) | 1.84839e10 | + | 5.70152e9i | 0.763943 | + | 0.235645i | ||||
\(204\) | 2.54338e10 | + | 1.22483e10i | 1.02820 | + | 0.495154i | ||||
\(205\) | −2.85661e9 | − | 7.27852e9i | −0.112969 | − | 0.287840i | ||||
\(206\) | −8.34658e8 | − | 1.11377e10i | −0.0322928 | − | 0.430918i | ||||
\(207\) | 1.66798e10 | + | 2.09159e10i | 0.631430 | + | 0.791788i | ||||
\(208\) | −3.94643e10 | − | 6.83541e10i | −1.46190 | − | 2.53209i | ||||
\(209\) | 6.94603e9 | − | 1.20309e10i | 0.251813 | − | 0.436153i | ||||
\(210\) | 3.05236e9 | − | 4.60069e8i | 0.108305 | − | 0.0163244i | ||||
\(211\) | 6.49557e8 | − | 3.12810e8i | 0.0225604 | − | 0.0108645i | −0.422570 | − | 0.906331i | \(-0.638872\pi\) |
0.445130 | + | 0.895466i | \(0.353157\pi\) | |||||||
\(212\) | −2.94711e8 | − | 2.73452e8i | −0.0100204 | − | 0.00929756i | ||||
\(213\) | 7.14188e8 | + | 3.12906e9i | 0.0237741 | + | 0.104161i | ||||
\(214\) | 2.12307e10 | 0.691993 | ||||||||
\(215\) | −2.90047e9 | − | 1.00551e10i | −0.0925754 | − | 0.320933i | ||||
\(216\) | 5.55992e10 | 1.73791 | ||||||||
\(217\) | −4.23765e9 | − | 1.85664e10i | −0.129735 | − | 0.568406i | ||||
\(218\) | −5.42854e10 | − | 5.03695e10i | −1.62790 | − | 1.51047i | ||||
\(219\) | 1.07163e10 | − | 5.16070e9i | 0.314809 | − | 0.151604i | ||||
\(220\) | 4.98655e10 | − | 7.51601e9i | 1.43515 | − | 0.216314i | ||||
\(221\) | 2.19096e10 | − | 3.79486e10i | 0.617832 | − | 1.07012i | ||||
\(222\) | −6.33845e9 | − | 1.09785e10i | −0.175144 | − | 0.303358i | ||||
\(223\) | −4.28785e10 | − | 5.37680e10i | −1.16110 | − | 1.45597i | −0.865680 | − | 0.500598i | \(-0.833113\pi\) |
−0.295415 | − | 0.955369i | \(-0.595458\pi\) | |||||||
\(224\) | 6.48608e9 | + | 8.65507e10i | 0.172134 | + | 2.29697i | ||||
\(225\) | 1.15408e10 | + | 2.94054e10i | 0.300202 | + | 0.764902i | ||||
\(226\) | 4.60331e10 | + | 2.21684e10i | 1.17377 | + | 0.565256i | ||||
\(227\) | −1.53076e10 | − | 4.72176e9i | −0.382639 | − | 0.118029i | 0.0974673 | − | 0.995239i | \(-0.468926\pi\) |
−0.480107 | + | 0.877210i | \(0.659402\pi\) | |||||||
\(228\) | −3.47845e9 | + | 8.86295e9i | −0.0852470 | + | 0.217206i | ||||
\(229\) | −2.04189e10 | + | 1.89459e10i | −0.490650 | + | 0.455257i | −0.886278 | − | 0.463154i | \(-0.846718\pi\) |
0.395627 | + | 0.918411i | \(0.370527\pi\) | |||||||
\(230\) | −2.47036e10 | − | 1.68426e10i | −0.582083 | − | 0.396858i | ||||
\(231\) | −7.36417e9 | + | 9.23438e9i | −0.170165 | + | 0.213380i | ||||
\(232\) | −1.85005e11 | − | 2.78850e10i | −4.19264 | − | 0.631939i | ||||
\(233\) | −4.66617e10 | + | 1.43932e10i | −1.03719 | + | 0.319931i | −0.766167 | − | 0.642641i | \(-0.777839\pi\) |
−0.271024 | + | 0.962572i | \(0.587362\pi\) | |||||||
\(234\) | 4.91085e9 | − | 6.55308e10i | 0.107074 | − | 1.42881i | ||||
\(235\) | −9.62261e9 | + | 6.56059e9i | −0.205820 | + | 0.140326i | ||||
\(236\) | 9.01465e9 | − | 3.94957e10i | 0.189167 | − | 0.828793i | ||||
\(237\) | −6.06582e8 | + | 2.65761e9i | −0.0124888 | + | 0.0547172i | ||||
\(238\) | −7.51831e10 | + | 5.12589e10i | −1.51888 | + | 1.03556i | ||||
\(239\) | 3.41882e9 | − | 4.56209e10i | 0.0677774 | − | 0.904427i | −0.854885 | − | 0.518818i | \(-0.826372\pi\) |
0.922662 | − | 0.385609i | \(-0.126009\pi\) | |||||||
\(240\) | −1.63449e10 | + | 5.04174e9i | −0.318004 | + | 0.0980912i | ||||
\(241\) | 6.54929e10 | + | 9.87146e9i | 1.25060 | + | 0.188497i | 0.740758 | − | 0.671772i | \(-0.234467\pi\) |
0.509839 | + | 0.860270i | \(0.329705\pi\) | |||||||
\(242\) | −1.00618e11 | + | 1.26171e11i | −1.88584 | + | 2.36477i | ||||
\(243\) | 3.32949e10 | + | 2.27001e10i | 0.612562 | + | 0.417638i | ||||
\(244\) | −7.05984e10 | + | 6.55057e10i | −1.27509 | + | 1.18311i | ||||
\(245\) | 4.22661e9 | − | 1.07692e10i | 0.0749453 | − | 0.190958i | ||||
\(246\) | −2.68231e10 | − | 8.27384e9i | −0.466984 | − | 0.144045i | ||||
\(247\) | 1.33156e10 | + | 6.41245e9i | 0.227627 | + | 0.109619i | ||||
\(248\) | 6.72954e10 | + | 1.71466e11i | 1.12967 | + | 2.87836i | ||||
\(249\) | 1.98946e9 | + | 2.65475e10i | 0.0327974 | + | 0.437650i | ||||
\(250\) | −4.67881e10 | − | 5.86704e10i | −0.757540 | − | 0.949925i | ||||
\(251\) | 3.18565e10 | + | 5.51770e10i | 0.506601 | + | 0.877458i | 0.999971 | + | 0.00763889i | \(0.00243156\pi\) |
−0.493370 | + | 0.869820i | \(0.664235\pi\) | |||||||
\(252\) | −4.98412e10 | + | 8.63275e10i | −0.778549 | + | 1.34849i | ||||
\(253\) | 1.13125e11 | − | 1.70508e10i | 1.73586 | − | 0.261639i | ||||
\(254\) | 7.94036e10 | − | 3.82387e10i | 1.19698 | − | 0.576437i | ||||
\(255\) | −6.96122e9 | − | 6.45906e9i | −0.103099 | − | 0.0956619i | ||||
\(256\) | −3.61370e10 | − | 1.58326e11i | −0.525862 | − | 2.30395i | ||||
\(257\) | 6.05927e10 | 0.866406 | 0.433203 | − | 0.901296i | \(-0.357383\pi\) | ||||
0.433203 | + | 0.901296i | \(0.357383\pi\) | |||||||
\(258\) | −3.47146e10 | − | 1.43657e10i | −0.487780 | − | 0.201854i | ||||
\(259\) | 2.98492e10 | 0.412177 | ||||||||
\(260\) | 1.19380e10 | + | 5.23039e10i | 0.162014 | + | 0.709830i | ||||
\(261\) | −6.54180e10 | − | 6.06990e10i | −0.872599 | − | 0.809654i | ||||
\(262\) | −5.57844e10 | + | 2.68644e10i | −0.731403 | + | 0.352225i | ||||
\(263\) | 9.57280e9 | − | 1.44287e9i | 0.123378 | − | 0.0185963i | −0.0870629 | − | 0.996203i | \(-0.527748\pi\) |
0.210441 | + | 0.977607i | \(0.432510\pi\) | |||||||
\(264\) | 5.71211e10 | − | 9.89366e10i | 0.723734 | − | 1.25354i | ||||
\(265\) | 6.76206e7 | + | 1.17122e8i | 0.000842312 | + | 0.00145893i | ||||
\(266\) | −1.91350e10 | − | 2.39946e10i | −0.234348 | − | 0.293863i | ||||
\(267\) | 8.67876e8 | + | 1.15810e10i | 0.0104510 | + | 0.139459i | ||||
\(268\) | 1.26916e11 | + | 3.23377e11i | 1.50283 | + | 3.82916i | ||||
\(269\) | −8.98038e10 | − | 4.32472e10i | −1.04571 | − | 0.503585i | −0.169504 | − | 0.985530i | \(-0.554216\pi\) |
−0.876202 | + | 0.481944i | \(0.839931\pi\) | |||||||
\(270\) | −2.83221e10 | − | 8.73621e9i | −0.324331 | − | 0.100043i | ||||
\(271\) | −4.33259e10 | + | 1.10392e11i | −0.487961 | + | 1.24331i | 0.448893 | + | 0.893585i | \(0.351818\pi\) |
−0.936854 | + | 0.349720i | \(0.886277\pi\) | |||||||
\(272\) | 3.69619e11 | − | 3.42957e11i | 4.09444 | − | 3.79909i | ||||
\(273\) | −1.03821e10 | − | 7.07838e9i | −0.113123 | − | 0.0771262i | ||||
\(274\) | 8.21465e10 | − | 1.03008e11i | 0.880464 | − | 1.10407i | ||||
\(275\) | 1.33577e11 | + | 2.01335e10i | 1.40843 | + | 0.212286i | ||||
\(276\) | −7.49239e10 | + | 2.31110e10i | −0.777195 | + | 0.239733i | ||||
\(277\) | 6.61077e9 | − | 8.82147e10i | 0.0674673 | − | 0.900289i | −0.856090 | − | 0.516827i | \(-0.827113\pi\) |
0.923557 | − | 0.383461i | \(-0.125268\pi\) | |||||||
\(278\) | −3.10999e11 | + | 2.12035e11i | −3.12289 | + | 2.12915i | ||||
\(279\) | −1.95505e10 | + | 8.56564e10i | −0.193170 | + | 0.846333i | ||||
\(280\) | 1.56436e10 | − | 6.85391e10i | 0.152099 | − | 0.666388i | ||||
\(281\) | −6.49722e10 | + | 4.42973e10i | −0.621654 | + | 0.423837i | −0.832766 | − | 0.553625i | \(-0.813244\pi\) |
0.211112 | + | 0.977462i | \(0.432292\pi\) | |||||||
\(282\) | −3.12447e9 | + | 4.16932e10i | −0.0294209 | + | 0.392594i | ||||
\(283\) | −3.21409e10 | + | 9.91417e9i | −0.297865 | + | 0.0918792i | −0.440086 | − | 0.897956i | \(-0.645052\pi\) |
0.142221 | + | 0.989835i | \(0.454576\pi\) | |||||||
\(284\) | 1.14541e11 | + | 1.72643e10i | 1.04479 | + | 0.157477i | ||||
\(285\) | 1.99694e9 | − | 2.50408e9i | 0.0179293 | − | 0.0224826i | ||||
\(286\) | −2.32188e11 | − | 1.58303e11i | −2.05207 | − | 1.39908i | ||||
\(287\) | 4.84508e10 | − | 4.49558e10i | 0.421534 | − | 0.391126i | ||||
\(288\) | 1.46291e11 | − | 3.72744e11i | 1.25300 | − | 3.19260i | ||||
\(289\) | 1.54175e11 | + | 4.75568e10i | 1.30009 | + | 0.401026i | ||||
\(290\) | 8.98596e10 | + | 4.32741e10i | 0.746060 | + | 0.359283i | ||||
\(291\) | 1.80897e10 | + | 4.60919e10i | 0.147881 | + | 0.376796i | ||||
\(292\) | −3.20796e10 | − | 4.28072e11i | −0.258229 | − | 3.44583i | ||||
\(293\) | −3.18647e10 | − | 3.99570e10i | −0.252584 | − | 0.316730i | 0.639333 | − | 0.768930i | \(-0.279211\pi\) |
−0.891916 | + | 0.452200i | \(0.850639\pi\) | |||||||
\(294\) | −2.07662e10 | − | 3.59681e10i | −0.162104 | − | 0.280773i | ||||
\(295\) | −6.81390e9 | + | 1.18020e10i | −0.0523838 | + | 0.0907314i | ||||
\(296\) | −2.85488e11 | + | 4.30303e10i | −2.16160 | + | 0.325808i | ||||
\(297\) | 1.02177e11 | − | 4.92058e10i | 0.761989 | − | 0.366954i | ||||
\(298\) | −1.25456e11 | − | 1.16406e11i | −0.921546 | − | 0.855070i | ||||
\(299\) | 2.70826e10 | + | 1.18657e11i | 0.195961 | + | 0.858563i | ||||
\(300\) | −9.25829e10 | −0.659911 | ||||||||
\(301\) | 7.01637e10 | − | 5.38758e10i | 0.492678 | − | 0.378307i | ||||
\(302\) | 1.65610e11 | 1.14566 | ||||||||
\(303\) | −1.21375e10 | − | 5.31779e10i | −0.0827252 | − | 0.362443i | ||||
\(304\) | 1.24664e11 | + | 1.15671e11i | 0.837161 | + | 0.776772i | ||||
\(305\) | 2.91889e10 | − | 1.40566e10i | 0.193138 | − | 0.0930106i | ||||
\(306\) | 4.15116e11 | − | 6.25686e10i | 2.70659 | − | 0.407953i | ||||
\(307\) | −1.08693e11 | + | 1.88262e11i | −0.698360 | + | 1.20960i | 0.270675 | + | 0.962671i | \(0.412753\pi\) |
−0.969035 | + | 0.246924i | \(0.920580\pi\) | |||||||
\(308\) | 2.13139e11 | + | 3.69167e11i | 1.34953 | + | 2.33746i | ||||
\(309\) | 6.14317e9 | + | 7.70329e9i | 0.0383336 | + | 0.0480688i | ||||
\(310\) | −7.33796e9 | − | 9.79183e10i | −0.0451282 | − | 0.602194i | ||||
\(311\) | −2.59393e10 | − | 6.60923e10i | −0.157231 | − | 0.400617i | 0.830451 | − | 0.557091i | \(-0.188083\pi\) |
−0.987682 | + | 0.156474i | \(0.949987\pi\) | |||||||
\(312\) | 1.09502e11 | + | 5.27332e10i | 0.654221 | + | 0.315056i | ||||
\(313\) | 1.96797e11 | + | 6.07038e10i | 1.15896 | + | 0.357492i | 0.813853 | − | 0.581071i | \(-0.197366\pi\) |
0.345108 | + | 0.938563i | \(0.387842\pi\) | |||||||
\(314\) | −1.70690e11 | + | 4.34912e11i | −0.990890 | + | 2.52475i | ||||
\(315\) | 2.45811e10 | − | 2.28079e10i | 0.140671 | − | 0.130523i | ||||
\(316\) | 8.12872e10 | + | 5.54206e10i | 0.458596 | + | 0.312665i | ||||
\(317\) | −7.62117e10 | + | 9.55664e10i | −0.423892 | + | 0.531543i | −0.947218 | − | 0.320589i | \(-0.896119\pi\) |
0.523327 | + | 0.852132i | \(0.324691\pi\) | |||||||
\(318\) | 4.80092e8 | + | 7.23623e7i | 0.00263271 | + | 0.000396817i | ||||
\(319\) | −3.64670e11 | + | 1.12486e11i | −1.97170 | + | 0.608190i | ||||
\(320\) | −1.64218e10 | + | 2.19133e11i | −0.0875478 | + | 1.16824i | ||||
\(321\) | −1.54746e10 | + | 1.05504e10i | −0.0813480 | + | 0.0554621i | ||||
\(322\) | 5.62393e10 | − | 2.46400e11i | 0.291533 | − | 1.27729i | ||||
\(323\) | −2.10091e10 | + | 9.20469e10i | −0.107398 | + | 0.470541i | ||||
\(324\) | 3.46614e11 | − | 2.36317e11i | 1.74740 | − | 1.19136i | ||||
\(325\) | −1.07396e10 | + | 1.43310e11i | −0.0533967 | + | 0.712529i | ||||
\(326\) | −5.46955e11 | + | 1.68713e11i | −2.68209 | + | 0.827314i | ||||
\(327\) | 6.45982e10 | + | 9.73661e9i | 0.312432 | + | 0.0470915i | ||||
\(328\) | −3.98591e11 | + | 4.99817e11i | −1.90150 | + | 2.38440i | ||||
\(329\) | −8.13405e10 | − | 5.54570e10i | −0.382759 | − | 0.260961i | ||||
\(330\) | −4.46431e10 | + | 4.14228e10i | −0.207225 | + | 0.192277i | ||||
\(331\) | 1.59444e11 | − | 4.06257e11i | 0.730100 | − | 1.86026i | 0.327908 | − | 0.944710i | \(-0.393656\pi\) |
0.402192 | − | 0.915555i | \(-0.368248\pi\) | |||||||
\(332\) | 9.18125e11 | + | 2.83204e11i | 4.14744 | + | 1.27932i | ||||
\(333\) | −1.24073e11 | − | 5.97502e10i | −0.552938 | − | 0.266281i | ||||
\(334\) | −1.22988e11 | − | 3.13369e11i | −0.540760 | − | 1.37783i | ||||
\(335\) | −8.73298e9 | − | 1.16534e11i | −0.0378844 | − | 0.505533i | ||||
\(336\) | −9.01493e10 | − | 1.13044e11i | −0.385865 | − | 0.483860i | ||||
\(337\) | −8.15737e10 | − | 1.41290e11i | −0.344521 | − | 0.596727i | 0.640746 | − | 0.767753i | \(-0.278625\pi\) |
−0.985267 | + | 0.171026i | \(0.945292\pi\) | |||||||
\(338\) | −8.16179e10 | + | 1.41366e11i | −0.340142 | + | 0.589143i | ||||
\(339\) | −4.45689e10 | + | 6.71769e9i | −0.183288 | + | 0.0276262i | ||||
\(340\) | −3.08786e11 | + | 1.48704e11i | −1.25315 | + | 0.603485i | ||||
\(341\) | 2.75420e11 | + | 2.55553e11i | 1.10306 | + | 1.02349i | ||||
\(342\) | 3.15067e10 | + | 1.38040e11i | 0.124533 | + | 0.545617i | ||||
\(343\) | 2.57025e11 | 1.00266 | ||||||||
\(344\) | −5.93401e11 | + | 6.16432e11i | −2.28473 | + | 2.37341i | ||||
\(345\) | 2.63758e10 | 0.100235 | ||||||||
\(346\) | −1.65919e11 | − | 7.26937e11i | −0.622376 | − | 2.72681i | ||||
\(347\) | −3.42594e11 | − | 3.17881e11i | −1.26852 | − | 1.17701i | −0.975279 | − | 0.220976i | \(-0.929076\pi\) |
−0.293241 | − | 0.956039i | \(-0.594734\pi\) | |||||||
\(348\) | 2.35650e11 | − | 1.13483e11i | 0.861311 | − | 0.414785i | ||||
\(349\) | −3.20854e11 | + | 4.83609e10i | −1.15769 | + | 0.174494i | −0.699682 | − | 0.714454i | \(-0.746675\pi\) |
−0.458009 | + | 0.888948i | \(0.651437\pi\) | |||||||
\(350\) | 1.49215e11 | − | 2.58448e11i | 0.531504 | − | 0.920592i | ||||
\(351\) | 6.03249e10 | + | 1.04486e11i | 0.212136 | + | 0.367431i | ||||
\(352\) | −1.06763e12 | − | 1.33877e12i | −3.70664 | − | 4.64798i | ||||
\(353\) | −4.42418e9 | − | 5.90366e10i | −0.0151652 | − | 0.202365i | −0.999640 | − | 0.0268381i | \(-0.991456\pi\) |
0.984475 | − | 0.175527i | \(-0.0561629\pi\) | |||||||
\(354\) | 1.78738e10 | + | 4.55418e10i | 0.0604928 | + | 0.154133i | ||||
\(355\) | −3.51073e10 | − | 1.69068e10i | −0.117319 | − | 0.0564980i | ||||
\(356\) | 4.00520e11 | + | 1.23544e11i | 1.32160 | + | 0.407658i | ||||
\(357\) | 2.93267e10 | − | 7.47232e10i | 0.0955556 | − | 0.243472i | ||||
\(358\) | −6.75219e11 | + | 6.26512e11i | −2.17256 | + | 2.01584i | ||||
\(359\) | 3.85700e10 | + | 2.62966e10i | 0.122553 | + | 0.0835553i | 0.623045 | − | 0.782186i | \(-0.285895\pi\) |
−0.500492 | + | 0.865741i | \(0.666848\pi\) | |||||||
\(360\) | −2.02222e11 | + | 2.53578e11i | −0.634551 | + | 0.795702i | ||||
\(361\) | 2.87596e11 | + | 4.33481e10i | 0.891251 | + | 0.134334i | ||||
\(362\) | 5.96230e11 | − | 1.83913e11i | 1.82484 | − | 0.562889i | ||||
\(363\) | 1.06388e10 | − | 1.41964e11i | 0.0321596 | − | 0.429141i | ||||
\(364\) | −3.74698e11 | + | 2.55465e11i | −1.11873 | + | 0.762737i | ||||
\(365\) | −3.21330e10 | + | 1.40784e11i | −0.0947620 | + | 0.415179i | ||||
\(366\) | 2.58805e10 | − | 1.13390e11i | 0.0753890 | − | 0.330301i | ||||
\(367\) | 5.90802e9 | − | 4.02802e9i | 0.0169998 | − | 0.0115903i | −0.554790 | − | 0.831990i | \(-0.687202\pi\) |
0.571790 | + | 0.820400i | \(0.306249\pi\) | |||||||
\(368\) | −1.04657e11 | + | 1.39656e12i | −0.297478 | + | 3.96957i | ||||
\(369\) | −2.91382e11 | + | 8.98795e10i | −0.818171 | + | 0.252372i | ||||
\(370\) | 1.52188e11 | + | 2.29387e10i | 0.422156 | + | 0.0636297i | ||||
\(371\) | −7.12775e8 | + | 8.93792e8i | −0.00195330 | + | 0.00244937i | ||||
\(372\) | −2.12759e11 | − | 1.45056e11i | −0.576029 | − | 0.392730i | ||||
\(373\) | 5.07141e11 | − | 4.70558e11i | 1.35656 | − | 1.25870i | 0.420304 | − | 0.907383i | \(-0.361923\pi\) |
0.936255 | − | 0.351320i | \(-0.114267\pi\) | |||||||
\(374\) | 6.55872e11 | − | 1.67114e12i | 1.73339 | − | 4.41661i | ||||
\(375\) | 6.32586e10 | + | 1.95127e10i | 0.165188 | + | 0.0509538i | ||||
\(376\) | 8.57913e11 | + | 4.13149e11i | 2.21359 | + | 1.06601i | ||||
\(377\) | −1.48326e11 | − | 3.77929e11i | −0.378166 | − | 0.963551i | ||||
\(378\) | −1.87228e10 | − | 2.49839e11i | −0.0471692 | − | 0.629429i | ||||
\(379\) | −6.14156e10 | − | 7.70127e10i | −0.152898 | − | 0.191728i | 0.699483 | − | 0.714649i | \(-0.253414\pi\) |
−0.852381 | + | 0.522921i | \(0.824842\pi\) | |||||||
\(380\) | −5.77967e10 | − | 1.00107e11i | −0.142193 | − | 0.246285i | ||||
\(381\) | −3.88732e10 | + | 6.73304e10i | −0.0945122 | + | 0.163700i | ||||
\(382\) | 8.81117e11 | − | 1.32807e11i | 2.11713 | − | 0.319107i | ||||
\(383\) | 3.38246e10 | − | 1.62891e10i | 0.0803226 | − | 0.0386813i | −0.393291 | − | 0.919414i | \(-0.628664\pi\) |
0.473614 | + | 0.880733i | \(0.342949\pi\) | |||||||
\(384\) | 2.60882e11 | + | 2.42063e11i | 0.612285 | + | 0.568117i | ||||
\(385\) | −3.19088e10 | − | 1.39802e11i | −0.0740181 | − | 0.324294i | ||||
\(386\) | −9.75332e11 | −2.23619 | ||||||||
\(387\) | −3.99490e11 | + | 8.34933e10i | −0.905330 | + | 0.189214i | ||||
\(388\) | 1.78703e12 | 4.00302 | ||||||||
\(389\) | −8.31583e10 | − | 3.64341e11i | −0.184133 | − | 0.806741i | −0.979634 | − | 0.200789i | \(-0.935649\pi\) |
0.795501 | − | 0.605952i | \(-0.207208\pi\) | |||||||
\(390\) | −4.74940e10 | − | 4.40680e10i | −0.103956 | − | 0.0964567i | ||||
\(391\) | −7.00512e11 | + | 3.37349e11i | −1.51572 | + | 0.729935i | ||||
\(392\) | −9.35323e11 | + | 1.40977e11i | −2.00066 | + | 0.301552i | ||||
\(393\) | 2.73101e10 | − | 4.73025e10i | 0.0577506 | − | 0.100027i | ||||
\(394\) | 3.10568e11 | + | 5.37920e11i | 0.649268 | + | 1.12457i | ||||
\(395\) | −2.06345e10 | − | 2.58748e10i | −0.0426488 | − | 0.0534799i | ||||
\(396\) | −1.46967e11 | − | 1.96114e12i | −0.300325 | − | 4.00756i | ||||
\(397\) | 2.49393e11 | + | 6.35443e11i | 0.503880 | + | 1.28387i | 0.926068 | + | 0.377357i | \(0.123167\pi\) |
−0.422188 | + | 0.906509i | \(0.638738\pi\) | |||||||
\(398\) | 1.39431e12 | + | 6.71465e11i | 2.78539 | + | 1.34137i | ||||
\(399\) | 2.58710e10 | + | 7.98015e9i | 0.0511017 | + | 0.0157628i | ||||
\(400\) | −6.04153e11 | + | 1.53936e12i | −1.17999 | + | 3.00656i | ||||
\(401\) | 3.24302e11 | − | 3.00908e11i | 0.626324 | − | 0.581144i | −0.301820 | − | 0.953365i | \(-0.597594\pi\) |
0.928144 | + | 0.372221i | \(0.121404\pi\) | |||||||
\(402\) | −3.46630e11 | − | 2.36328e11i | −0.661986 | − | 0.451335i | ||||
\(403\) | −2.49215e11 | + | 3.12506e11i | −0.470654 | + | 0.590181i | ||||
\(404\) | −1.94661e12 | − | 2.93404e11i | −3.63549 | − | 0.547961i | ||||
\(405\) | −1.34850e11 | + | 4.15959e10i | −0.249060 | + | 0.0768250i | ||||
\(406\) | −6.30035e10 | + | 8.40723e11i | −0.115079 | + | 1.53563i | ||||
\(407\) | −4.86570e11 | + | 3.31738e11i | −0.878962 | + | 0.599266i | ||||
\(408\) | −1.72770e11 | + | 7.56953e11i | −0.308672 | + | 1.35238i | ||||
\(409\) | 1.49424e11 | − | 6.54670e11i | 0.264038 | − | 1.15683i | −0.652789 | − | 0.757540i | \(-0.726401\pi\) |
0.916827 | − | 0.399285i | \(-0.130742\pi\) | |||||||
\(410\) | 2.81577e11 | − | 1.91976e11i | 0.492119 | − | 0.335521i | ||||
\(411\) | −8.68571e9 | + | 1.15903e11i | −0.0150147 | + | 0.200357i | ||||
\(412\) | 3.39801e11 | − | 1.04815e11i | 0.581015 | − | 0.179219i | ||||
\(413\) | −1.13910e11 | − | 1.71692e10i | −0.192658 | − | 0.0290385i | ||||
\(414\) | −7.26995e11 | + | 9.11622e11i | −1.21627 | + | 1.52515i | ||||
\(415\) | −2.67049e11 | − | 1.82071e11i | −0.441952 | − | 0.301318i | ||||
\(416\) | 1.33540e12 | − | 1.23907e12i | 2.18621 | − | 2.02851i | ||||
\(417\) | 1.21311e11 | − | 3.09096e11i | 0.196467 | − | 0.500589i | ||||
\(418\) | 5.78588e11 | + | 1.78471e11i | 0.926993 | + | 0.285939i | ||||
\(419\) | 1.90755e11 | + | 9.18627e10i | 0.302352 | + | 0.145605i | 0.578908 | − | 0.815393i | \(-0.303479\pi\) |
−0.276556 | + | 0.960998i | \(0.589193\pi\) | |||||||
\(420\) | 3.59054e10 | + | 9.14854e10i | 0.0563038 | + | 0.143460i | ||||
\(421\) | −4.83449e10 | − | 6.45118e11i | −0.0750035 | − | 1.00085i | −0.900050 | − | 0.435787i | \(-0.856470\pi\) |
0.825046 | − | 0.565065i | \(-0.191149\pi\) | |||||||
\(422\) | 1.95919e10 | + | 2.45674e10i | 0.0300725 | + | 0.0377098i | ||||
\(423\) | 2.27093e11 | + | 3.93337e11i | 0.344884 | + | 0.597356i | ||||
\(424\) | 5.52873e9 | − | 9.57604e9i | 0.00830766 | − | 0.0143893i | ||||
\(425\) | −9.07824e11 | + | 1.36833e11i | −1.34974 | + | 0.203441i | ||||
\(426\) | −1.26035e11 | + | 6.06952e10i | −0.185416 | + | 0.0892918i | ||||
\(427\) | 2.00751e11 | + | 1.86269e11i | 0.292235 | + | 0.271154i | ||||
\(428\) | 1.50412e11 | + | 6.58998e11i | 0.216663 | + | 0.949264i | ||||
\(429\) | 2.47905e11 | 0.353368 | ||||||||
\(430\) | 3.99136e11 | − | 2.20769e11i | 0.563006 | − | 0.311408i | ||||
\(431\) | −2.28518e11 | −0.318986 | −0.159493 | − | 0.987199i | \(-0.550986\pi\) | ||||
−0.159493 | + | 0.987199i | \(0.550986\pi\) | |||||||
\(432\) | 3.08925e11 | + | 1.35349e12i | 0.426752 | + | 1.86972i | ||||
\(433\) | 3.22402e11 | + | 2.99145e11i | 0.440759 | + | 0.408965i | 0.869088 | − | 0.494658i | \(-0.164707\pi\) |
−0.428328 | + | 0.903623i | \(0.640897\pi\) | |||||||
\(434\) | 7.47832e11 | − | 3.60137e11i | 1.01181 | − | 0.487263i | ||||
\(435\) | −8.70015e10 | + | 1.31134e10i | −0.116500 | + | 0.0175595i | ||||
\(436\) | 1.17887e12 | − | 2.04186e12i | 1.56234 | − | 2.70606i | ||||
\(437\) | −1.31118e11 | − | 2.27102e11i | −0.171987 | − | 0.297890i | ||||
\(438\) | 3.23224e11 | + | 4.05311e11i | 0.419634 | + | 0.526204i | ||||
\(439\) | 4.55270e10 | + | 6.07516e11i | 0.0585031 | + | 0.780670i | 0.946887 | + | 0.321568i | \(0.104210\pi\) |
−0.888383 | + | 0.459102i | \(0.848171\pi\) | |||||||
\(440\) | 5.06723e11 | + | 1.29111e12i | 0.644516 | + | 1.64220i | ||||
\(441\) | −4.06490e11 | − | 1.95755e11i | −0.511772 | − | 0.246456i | ||||
\(442\) | 1.82502e12 | + | 5.62945e11i | 2.27441 | + | 0.701562i | ||||
\(443\) | 2.29576e11 | − | 5.84951e11i | 0.283211 | − | 0.721610i | −0.716500 | − | 0.697587i | \(-0.754257\pi\) |
0.999711 | − | 0.0240234i | \(-0.00764763\pi\) | |||||||
\(444\) | 2.95866e11 | − | 2.74524e11i | 0.361303 | − | 0.335240i | ||||
\(445\) | −1.16497e11 | − | 7.94261e10i | −0.140830 | − | 0.0960159i | ||||
\(446\) | 1.86887e12 | − | 2.34349e12i | 2.23652 | − | 2.80450i | ||||
\(447\) | 1.49289e11 | + | 2.25017e10i | 0.176866 | + | 0.0266582i | ||||
\(448\) | −1.77502e12 | + | 5.47520e11i | −2.08186 | + | 0.642169i | ||||
\(449\) | −5.14869e10 | + | 6.87045e11i | −0.0597844 | + | 0.797768i | 0.884059 | + | 0.467375i | \(0.154800\pi\) |
−0.943844 | + | 0.330393i | \(0.892819\pi\) | |||||||
\(450\) | −1.13758e12 | + | 7.75588e11i | −1.30775 | + | 0.891609i | ||||
\(451\) | −2.90164e11 | + | 1.27129e12i | −0.330255 | + | 1.44694i | ||||
\(452\) | −3.61975e11 | + | 1.58592e12i | −0.407902 | + | 1.78713i | ||||
\(453\) | −1.20710e11 | + | 8.22986e10i | −0.134679 | + | 0.0918228i | ||||
\(454\) | 5.21768e10 | − | 6.96251e11i | 0.0576403 | − | 0.769156i | ||||
\(455\) | 1.45777e11 | − | 4.49661e10i | 0.159454 | − | 0.0491852i | ||||
\(456\) | −2.58943e11 | − | 3.90293e10i | −0.280454 | − | 0.0422717i | ||||
\(457\) | −6.05395e11 | + | 7.59142e11i | −0.649256 | + | 0.814142i | −0.992126 | − | 0.125241i | \(-0.960030\pi\) |
0.342870 | + | 0.939383i | \(0.388601\pi\) | |||||||
\(458\) | −1.00310e12 | − | 6.83899e11i | −1.06524 | − | 0.726268i | ||||
\(459\) | −5.64999e11 | + | 5.24242e11i | −0.594142 | + | 0.551283i | ||||
\(460\) | 3.47777e11 | − | 8.86122e11i | 0.362152 | − | 0.922748i | ||||
\(461\) | 5.27439e11 | + | 1.62693e11i | 0.543899 | + | 0.167771i | 0.554516 | − | 0.832173i | \(-0.312903\pi\) |
−0.0106173 | + | 0.999944i | \(0.503380\pi\) | |||||||
\(462\) | −4.63814e11 | − | 2.23361e11i | −0.473647 | − | 0.228096i | ||||
\(463\) | 1.92246e11 | + | 4.89834e11i | 0.194420 | + | 0.495375i | 0.994527 | − | 0.104483i | \(-0.0333188\pi\) |
−0.800106 | + | 0.599858i | \(0.795224\pi\) | |||||||
\(464\) | −3.49116e11 | − | 4.65863e12i | −0.349655 | − | 4.66582i | ||||
\(465\) | 5.40082e10 | + | 6.77241e10i | 0.0535699 | + | 0.0671746i | ||||
\(466\) | −1.06416e12 | − | 1.84318e12i | −1.04537 | − | 1.81063i | ||||
\(467\) | −3.12255e11 | + | 5.40842e11i | −0.303797 | + | 0.526192i | −0.976993 | − | 0.213272i | \(-0.931588\pi\) |
0.673196 | + | 0.739464i | \(0.264921\pi\) | |||||||
\(468\) | 2.06886e12 | − | 3.11830e11i | 1.99354 | − | 0.300478i | ||||
\(469\) | 8.90002e11 | − | 4.28602e11i | 0.849402 | − | 0.409050i | ||||
\(470\) | −3.72102e11 | − | 3.45260e11i | −0.351740 | − | 0.326367i | ||||
\(471\) | −9.17131e10 | − | 4.01821e11i | −0.0858692 | − | 0.376217i | ||||
\(472\) | 1.11422e12 | 1.03332 | ||||||||
\(473\) | −5.44969e11 | + | 1.65801e12i | −0.500607 | + | 1.52304i | ||||
\(474\) | −1.18811e11 | −0.108107 | ||||||||
\(475\) | −6.89026e10 | − | 3.01882e11i | −0.0621033 | − | 0.272092i | ||||
\(476\) | −2.12372e12 | − | 1.97052e12i | −1.89612 | − | 1.75934i | ||||
\(477\) | 4.75189e9 | − | 2.28839e9i | 0.00420275 | − | 0.00202394i | ||||
\(478\) | 1.97170e12 | − | 2.97187e11i | 1.72749 | − | 0.260378i | ||||
\(479\) | 1.68062e11 | − | 2.91092e11i | 0.145868 | − | 0.252651i | −0.783829 | − | 0.620977i | \(-0.786736\pi\) |
0.929696 | + | 0.368327i | \(0.120069\pi\) | |||||||
\(480\) | −1.97393e11 | − | 3.41895e11i | −0.169725 | − | 0.293973i | ||||
\(481\) | −3.90619e11 | − | 4.89820e11i | −0.332736 | − | 0.417238i | ||||
\(482\) | 2.15728e11 | + | 2.87869e12i | 0.182052 | + | 2.42931i | ||||
\(483\) | 8.14550e10 | + | 2.07544e11i | 0.0681013 | + | 0.173519i | ||||
\(484\) | −4.62917e12 | − | 2.22929e12i | −3.83441 | − | 1.84656i | ||||
\(485\) | −5.74438e11 | − | 1.77191e11i | −0.471417 | − | 0.145413i | ||||
\(486\) | −6.41668e11 | + | 1.63494e12i | −0.521732 | + | 1.32935i | ||||
\(487\) | 1.17899e12 | − | 1.09394e12i | 0.949793 | − | 0.881279i | −0.0432459 | − | 0.999064i | \(-0.513770\pi\) |
0.993039 | + | 0.117785i | \(0.0375794\pi\) | |||||||
\(488\) | −2.18857e12 | − | 1.49214e12i | −1.74691 | − | 1.19102i | ||||
\(489\) | 3.14824e11 | − | 3.94777e11i | 0.248988 | − | 0.312221i | ||||
\(490\) | 4.98603e11 | + | 7.51523e10i | 0.390726 | + | 0.0588925i | ||||
\(491\) | 2.15945e10 | − | 6.66101e9i | 0.0167678 | − | 0.00517218i | −0.286360 | − | 0.958122i | \(-0.592445\pi\) |
0.303128 | + | 0.952950i | \(0.401969\pi\) | |||||||
\(492\) | 6.67866e10 | − | 8.91205e11i | 0.0513862 | − | 0.685701i | ||||
\(493\) | 2.14295e12 | − | 1.46104e12i | 1.63381 | − | 1.11391i | ||||
\(494\) | −1.43338e11 | + | 6.28004e11i | −0.108290 | + | 0.474451i | ||||
\(495\) | −1.47212e11 | + | 6.44979e11i | −0.110210 | + | 0.482861i | ||||
\(496\) | −3.80019e12 | + | 2.59093e12i | −2.81928 | + | 1.92215i | ||||
\(497\) | 2.46148e10 | − | 3.28462e11i | 0.0180964 | − | 0.241480i | ||||
\(498\) | −1.10878e12 | + | 3.42012e11i | −0.807814 | + | 0.249178i | ||||
\(499\) | 6.70807e11 | + | 1.01108e11i | 0.484334 | + | 0.0730017i | 0.386671 | − | 0.922218i | \(-0.373625\pi\) |
0.0976636 | + | 0.995219i | \(0.468863\pi\) | |||||||
\(500\) | 1.48965e12 | − | 1.86796e12i | 1.06590 | − | 1.33660i | ||||
\(501\) | 2.45370e11 | + | 1.67290e11i | 0.174001 | + | 0.118632i | ||||
\(502\) | −2.03564e12 | + | 1.88880e12i | −1.43066 | + | 1.32745i | ||||
\(503\) | −9.54831e11 | + | 2.43287e12i | −0.665075 | + | 1.69458i | 0.0529782 | + | 0.998596i | \(0.483129\pi\) |
−0.718053 | + | 0.695988i | \(0.754967\pi\) | |||||||
\(504\) | −2.61985e12 | − | 8.08117e11i | −1.80859 | − | 0.557875i | ||||
\(505\) | 5.96643e11 | + | 2.87328e11i | 0.408228 | + | 0.196592i | ||||
\(506\) | 1.82169e12 | + | 4.64158e12i | 1.23537 | + | 3.14767i | ||||
\(507\) | −1.07612e10 | − | 1.43598e11i | −0.00723311 | − | 0.0965191i | ||||
\(508\) | 1.74947e12 | + | 2.19377e12i | 1.16552 | + | 1.46152i | ||||
\(509\) | 7.89395e11 | + | 1.36727e12i | 0.521272 | + | 0.902869i | 0.999694 | + | 0.0247392i | \(0.00787552\pi\) |
−0.478422 | + | 0.878130i | \(0.658791\pi\) | |||||||
\(510\) | 2.06947e11 | − | 3.58443e11i | 0.135455 | − | 0.234614i | ||||
\(511\) | −1.20703e12 | + | 1.81930e11i | −0.783110 | + | 0.118035i | ||||
\(512\) | 2.10748e12 | − | 1.01491e12i | 1.35534 | − | 0.652698i | ||||
\(513\) | −1.90560e11 | − | 1.76814e11i | −0.121480 | − | 0.112717i | ||||
\(514\) | 5.87666e11 | + | 2.57473e12i | 0.371361 | + | 1.62704i | ||||
\(515\) | −1.19621e11 | −0.0749336 | ||||||||
\(516\) | 1.99968e11 | − | 1.17931e12i | 0.124176 | − | 0.732328i | ||||
\(517\) | 1.94226e12 | 1.19564 | ||||||||
\(518\) | 2.89497e11 | + | 1.26837e12i | 0.176669 | + | 0.774036i | ||||
\(519\) | 4.82180e11 | + | 4.47397e11i | 0.291713 | + | 0.270670i | ||||
\(520\) | −1.32943e12 | + | 6.40220e11i | −0.797354 | + | 0.383985i | ||||
\(521\) | 1.86723e12 | − | 2.81440e11i | 1.11027 | − | 0.167346i | 0.431796 | − | 0.901971i | \(-0.357880\pi\) |
0.678473 | + | 0.734625i | \(0.262642\pi\) | |||||||
\(522\) | 1.94479e12 | − | 3.36847e12i | 1.14645 | − | 1.98571i | ||||
\(523\) | −3.18368e11 | − | 5.51430e11i | −0.186068 | − | 0.322279i | 0.757868 | − | 0.652408i | \(-0.226241\pi\) |
−0.943936 | + | 0.330129i | \(0.892908\pi\) | |||||||
\(524\) | −1.22908e12 | − | 1.54122e12i | −0.712179 | − | 0.893045i | ||||
\(525\) | 1.96738e10 | + | 2.62529e11i | 0.0113024 | + | 0.150820i | ||||
\(526\) | 1.54154e11 | + | 3.92778e11i | 0.0878050 | + | 0.223723i | ||||
\(527\) | −2.30060e12 | − | 1.10791e12i | −1.29925 | − | 0.625686i | ||||
\(528\) | 2.72586e12 | + | 8.40816e11i | 1.52634 | + | 0.470813i | ||||
\(529\) | 1.30932e11 | − | 3.33610e11i | 0.0726936 | − | 0.185220i | ||||
\(530\) | −4.32099e9 | + | 4.00929e9i | −0.00237871 | + | 0.00220712i | ||||
\(531\) | 4.39115e11 | + | 2.99384e11i | 0.239692 | + | 0.163419i | ||||
\(532\) | 6.09223e11 | − | 7.63942e11i | 0.329742 | − | 0.413483i | ||||
\(533\) | −1.37176e12 | − | 2.06760e11i | −0.736218 | − | 0.110967i | ||||
\(534\) | −4.83688e11 | + | 1.49198e11i | −0.257413 | + | 0.0794013i | ||||
\(535\) | 1.69924e10 | − | 2.26748e11i | 0.00896733 | − | 0.119661i | ||||
\(536\) | −7.89439e12 | + | 5.38231e12i | −4.13121 | + | 2.81661i | ||||
\(537\) | 1.80814e11 | − | 7.92196e11i | 0.0938311 | − | 0.411101i | ||||
\(538\) | 9.66708e11 | − | 4.23542e12i | 0.497479 | − | 2.17960i | ||||
\(539\) | −1.59411e12 | + | 1.08685e12i | −0.813523 | + | 0.554651i | ||||
\(540\) | 7.05188e10 | − | 9.41008e11i | 0.0356889 | − | 0.476235i | ||||
\(541\) | 2.98347e12 | − | 9.20279e11i | 1.49739 | − | 0.461883i | 0.565536 | − | 0.824723i | \(-0.308669\pi\) |
0.931851 | + | 0.362841i | \(0.118193\pi\) | |||||||
\(542\) | −5.11105e12 | − | 7.70367e11i | −2.54398 | − | 0.383443i | ||||
\(543\) | −3.43186e11 | + | 4.30341e11i | −0.169407 | + | 0.212429i | ||||
\(544\) | 9.61543e12 | + | 6.55569e12i | 4.70732 | + | 3.20940i | ||||
\(545\) | −5.81405e11 | + | 5.39465e11i | −0.282289 | + | 0.261926i | ||||
\(546\) | 2.00086e11 | − | 5.09810e11i | 0.0963495 | − | 0.245494i | ||||
\(547\) | 1.27985e12 | + | 3.94781e11i | 0.611246 | + | 0.188544i | 0.584896 | − | 0.811109i | \(-0.301135\pi\) |
0.0263498 | + | 0.999653i | \(0.491612\pi\) | |||||||
\(548\) | 3.77935e12 | + | 1.82004e12i | 1.79021 | + | 0.862121i | ||||
\(549\) | −4.61587e11 | − | 1.17610e12i | −0.216859 | − | 0.552548i | ||||
\(550\) | 4.39992e11 | + | 5.87128e12i | 0.205028 | + | 2.73591i | ||||
\(551\) | 5.45407e11 | + | 6.83918e11i | 0.252080 | + | 0.316098i | ||||
\(552\) | −1.07825e12 | − | 1.86759e12i | −0.494305 | − | 0.856162i | ||||
\(553\) | 1.39878e11 | − | 2.42275e11i | 0.0636042 | − | 0.110166i | ||||
\(554\) | 3.81257e12 | − | 5.74653e11i | 1.71959 | − | 0.259186i | ||||
\(555\) | −1.22326e11 | + | 5.89090e10i | −0.0547268 | + | 0.0263550i | ||||
\(556\) | −8.78487e12 | − | 8.15117e12i | −3.89851 | − | 3.61729i | ||||
\(557\) | −9.18417e11 | − | 4.02385e12i | −0.404289 | − | 1.77130i | −0.609704 | − | 0.792629i | \(-0.708712\pi\) |
0.205416 | − | 0.978675i | \(-0.434145\pi\) | |||||||
\(558\) | −3.82937e12 | −1.67214 | ||||||||
\(559\) | −1.80228e12 | − | 4.46334e11i | −0.780673 | − | 0.193333i | ||||
\(560\) | 1.75541e12 | 0.754280 | ||||||||
\(561\) | 3.52405e11 | + | 1.54399e12i | 0.150213 | + | 0.658128i | ||||
\(562\) | −2.51244e12 | − | 2.33121e12i | −1.06239 | − | 0.985751i | ||||
\(563\) | −1.64427e12 | + | 7.91840e11i | −0.689741 | + | 0.332162i | −0.745710 | − | 0.666271i | \(-0.767889\pi\) |
0.0559691 | + | 0.998433i | \(0.482175\pi\) | |||||||
\(564\) | −1.31629e12 | + | 1.98398e11i | −0.547766 | + | 0.0825624i | ||||
\(565\) | 2.73606e11 | − | 4.73900e11i | 0.112956 | − | 0.195645i | ||||
\(566\) | −7.33001e11 | − | 1.26959e12i | −0.300214 | − | 0.519985i | ||||
\(567\) | −7.43759e11 | − | 9.32644e11i | −0.302210 | − | 0.378959i | ||||
\(568\) | 2.38083e11 | + | 3.17700e12i | 0.0959758 | + | 1.28071i | ||||
\(569\) | −1.63345e12 | − | 4.16197e12i | −0.653283 | − | 1.66454i | −0.743600 | − | 0.668625i | \(-0.766883\pi\) |
0.0903166 | − | 0.995913i | \(-0.471212\pi\) | |||||||
\(570\) | 1.25772e11 | + | 6.05687e10i | 0.0499055 | + | 0.0240332i | ||||
\(571\) | 1.31944e12 | + | 4.06994e11i | 0.519430 | + | 0.160223i | 0.543375 | − | 0.839490i | \(-0.317146\pi\) |
−0.0239444 | + | 0.999713i | \(0.507622\pi\) | |||||||
\(572\) | 3.26874e12 | − | 8.32862e12i | 1.27673 | − | 3.25305i | ||||
\(573\) | −5.76231e11 | + | 5.34664e11i | −0.223306 | + | 0.207198i | ||||
\(574\) | 2.38019e12 | + | 1.62278e12i | 0.915183 | + | 0.623961i | ||||
\(575\) | 1.58988e12 | − | 1.99364e12i | 0.606539 | − | 0.760575i | ||||
\(576\) | 8.47410e12 | + | 1.27727e12i | 3.20769 | + | 0.483482i | ||||
\(577\) | 4.16799e12 | − | 1.28566e12i | 1.56544 | − | 0.482874i | 0.613637 | − | 0.789589i | \(-0.289706\pi\) |
0.951801 | + | 0.306715i | \(0.0992298\pi\) | |||||||
\(578\) | −5.25516e11 | + | 7.01253e12i | −0.195844 | + | 2.61336i | ||||
\(579\) | 7.10899e11 | − | 4.84683e11i | 0.262878 | − | 0.179227i | ||||
\(580\) | −7.06600e11 | + | 3.09582e12i | −0.259267 | + | 1.13592i | ||||
\(581\) | 6.07955e11 | − | 2.66362e12i | 0.221349 | − | 0.969795i | ||||
\(582\) | −1.78311e12 | + | 1.21570e12i | −0.644206 | + | 0.439212i | ||||
\(583\) | 1.68549e9 | − | 2.24913e10i | 0.000604250 | − | 0.00806316i | ||||
\(584\) | 1.12821e13 | − | 3.48007e12i | 4.01359 | − | 1.23803i | ||||
\(585\) | −6.95952e11 | − | 1.04898e11i | −0.245684 | − | 0.0370310i | ||||
\(586\) | 1.38883e12 | − | 1.74154e12i | 0.486530 | − | 0.610089i | ||||
\(587\) | 2.92442e12 | + | 1.99384e12i | 1.01664 | + | 0.693135i | 0.952416 | − | 0.304800i | \(-0.0985897\pi\) |
0.0642261 | + | 0.997935i | \(0.479542\pi\) | |||||||
\(588\) | 9.69325e11 | − | 8.99402e11i | 0.334404 | − | 0.310282i | ||||
\(589\) | 3.14641e11 | − | 8.01691e11i | 0.107720 | − | 0.274466i | ||||
\(590\) | −5.67583e11 | − | 1.75076e11i | −0.192839 | − | 0.0594830i | ||||
\(591\) | −4.93682e11 | − | 2.37745e11i | −0.166458 | − | 0.0801617i | ||||
\(592\) | −2.63376e12 | − | 6.71072e12i | −0.881311 | − | 2.24554i | ||||
\(593\) | −2.03739e11 | − | 2.71871e12i | −0.0676593 | − | 0.902851i | −0.923004 | − | 0.384791i | \(-0.874274\pi\) |
0.855344 | − | 0.518060i | \(-0.173346\pi\) | |||||||
\(594\) | 3.08185e12 | + | 3.86452e12i | 1.01572 | + | 1.27367i | ||||
\(595\) | 4.87282e11 | + | 8.43997e11i | 0.159387 | + | 0.276067i | ||||
\(596\) | 2.72441e12 | − | 4.71882e12i | 0.884433 | − | 1.53188i | ||||
\(597\) | −1.34996e12 | + | 2.03474e11i | −0.434948 | + | 0.0655579i | ||||
\(598\) | −4.77935e12 | + | 2.30162e12i | −1.52832 | + | 0.735999i | ||||
\(599\) | 1.36355e12 | + | 1.26519e12i | 0.432762 | + | 0.401545i | 0.866247 | − | 0.499616i | \(-0.166526\pi\) |
−0.433485 | + | 0.901161i | \(0.642716\pi\) | |||||||
\(600\) | −5.66625e11 | − | 2.48255e12i | −0.178491 | − | 0.782018i | ||||
\(601\) | −1.00595e12 | −0.314516 | −0.157258 | − | 0.987558i | \(-0.550265\pi\) | ||||
−0.157258 | + | 0.987558i | \(0.550265\pi\) | |||||||
\(602\) | 2.96981e12 | + | 2.45891e12i | 0.921603 | + | 0.763059i | ||||
\(603\) | −4.55737e12 | −1.40374 | ||||||||
\(604\) | 1.17329e12 | + | 5.14052e12i | 0.358707 | + | 1.57160i | ||||
\(605\) | 1.26700e12 | + | 1.17560e12i | 0.384483 | + | 0.356748i | ||||
\(606\) | 2.14194e12 | − | 1.03151e12i | 0.645181 | − | 0.310703i | ||||
\(607\) | 9.77624e11 | − | 1.47353e11i | 0.292296 | − | 0.0440565i | −0.00125750 | − | 0.999999i | \(-0.500400\pi\) |
0.293553 | + | 0.955943i | \(0.405162\pi\) | |||||||
\(608\) | −1.96254e12 | + | 3.39922e12i | −0.582441 | + | 1.00882i | ||||
\(609\) | −3.71868e11 | − | 6.44095e11i | −0.109550 | − | 0.189746i | ||||
\(610\) | 8.80394e11 | + | 1.10398e12i | 0.257450 | + | 0.322832i | ||||
\(611\) | 1.54414e11 | + | 2.06052e12i | 0.0448231 | + | 0.598123i | ||||
\(612\) | 4.88308e12 | + | 1.24419e13i | 1.40706 | + | 3.58513i | ||||
\(613\) | 1.95439e11 | + | 9.41184e10i | 0.0559035 | + | 0.0269217i | 0.461627 | − | 0.887074i | \(-0.347266\pi\) |
−0.405723 | + | 0.913996i | \(0.632980\pi\) | |||||||
\(614\) | −9.05389e12 | − | 2.79276e12i | −2.57085 | − | 0.793004i | ||||
\(615\) | −1.09835e11 | + | 2.79855e11i | −0.0309601 | + | 0.0788850i | ||||
\(616\) | −8.59451e12 | + | 7.97454e12i | −2.40496 | + | 2.23148i | ||||
\(617\) | −2.85336e12 | − | 1.94539e12i | −0.792636 | − | 0.540410i | 0.0979678 | − | 0.995190i | \(-0.468766\pi\) |
−0.890604 | + | 0.454779i | \(0.849718\pi\) | |||||||
\(618\) | −2.67752e11 | + | 3.35750e11i | −0.0738387 | + | 0.0925907i | ||||
\(619\) | −1.21686e12 | − | 1.83412e11i | −0.333145 | − | 0.0502135i | −0.0196599 | − | 0.999807i | \(-0.506258\pi\) |
−0.313485 | + | 0.949593i | \(0.601496\pi\) | |||||||
\(620\) | 2.98739e12 | − | 9.21487e11i | 0.811949 | − | 0.250453i | ||||
\(621\) | 1.59979e11 | − | 2.13477e12i | 0.0431669 | − | 0.576022i | ||||
\(622\) | 2.55685e12 | − | 1.74323e12i | 0.684934 | − | 0.466980i | ||||
\(623\) | 2.65212e11 | − | 1.16197e12i | 0.0705337 | − | 0.309028i | ||||
\(624\) | −6.75296e11 | + | 2.95867e12i | −0.178305 | + | 0.781206i | ||||
\(625\) | 2.13614e12 | − | 1.45640e12i | 0.559977 | − | 0.381786i | ||||
\(626\) | −6.70795e11 | + | 8.95113e12i | −0.174584 | + | 2.32966i | ||||
\(627\) | −5.10411e11 | + | 1.57441e11i | −0.131891 | + | 0.0406831i | ||||
\(628\) | −1.47089e13 | − | 2.21701e12i | −3.77365 | − | 0.568786i | ||||
\(629\) | 2.49539e12 | − | 3.12912e12i | 0.635640 | − | 0.797067i | ||||
\(630\) | 1.20757e12 | + | 8.23306e11i | 0.305407 | + | 0.208223i | ||||
\(631\) | 1.85468e12 | − | 1.72089e12i | 0.465734 | − | 0.432138i | −0.412075 | − | 0.911150i | \(-0.635196\pi\) |
0.877808 | + | 0.479013i | \(0.159005\pi\) | |||||||
\(632\) | −9.88574e11 | + | 2.51884e12i | −0.246480 | + | 0.628021i | ||||
\(633\) | −2.64887e10 | − | 8.17068e9i | −0.00655759 | − | 0.00202275i | ||||
\(634\) | −4.80000e12 | − | 2.31156e12i | −1.17988 | − | 0.568203i | ||||
\(635\) | −3.44845e11 | − | 8.78652e11i | −0.0841672 | − | 0.214454i | ||||
\(636\) | 1.15517e9 | + | 1.54147e10i | 0.000279956 | + | 0.00373575i | ||||
\(637\) | −1.27976e12 | − | 1.60476e12i | −0.307964 | − | 0.386175i | ||||
\(638\) | −8.31659e12 | − | 1.44048e13i | −1.98725 | − | 3.44202i | ||||
\(639\) | −7.59809e11 | + | 1.31603e12i | −0.180281 | + | 0.312256i | ||||
\(640\) | −4.27245e12 | + | 6.43968e11i | −1.00662 | + | 0.151724i | ||||
\(641\) | −1.12515e11 | + | 5.41842e10i | −0.0263237 | + | 0.0126768i | −0.446999 | − | 0.894534i | \(-0.647507\pi\) |
0.420676 | + | 0.907211i | \(0.361793\pi\) | |||||||
\(642\) | −5.98395e11 | − | 5.55230e11i | −0.139021 | − | 0.128993i | ||||
\(643\) | −1.52644e11 | − | 6.68777e11i | −0.0352152 | − | 0.154288i | 0.954263 | − | 0.298967i | \(-0.0966421\pi\) |
−0.989479 | + | 0.144679i | \(0.953785\pi\) | |||||||
\(644\) | 8.04668e12 | 1.84345 | ||||||||
\(645\) | −1.81213e11 | + | 3.59262e11i | −0.0412259 | + | 0.0817320i | ||||
\(646\) | −4.11506e12 | −0.929672 | ||||||||
\(647\) | 1.24824e12 | + | 5.46889e12i | 0.280045 | + | 1.22696i | 0.897735 | + | 0.440536i | \(0.145212\pi\) |
−0.617690 | + | 0.786422i | \(0.711931\pi\) | |||||||
\(648\) | 8.45803e12 | + | 7.84791e12i | 1.88444 | + | 1.74850i | ||||
\(649\) | 2.04765e12 | − | 9.86097e11i | 0.453059 | − | 0.218182i | ||||
\(650\) | −6.19377e12 | + | 9.33561e11i | −1.36096 | + | 0.205132i | ||||
\(651\) | −3.66112e11 | + | 6.34125e11i | −0.0798913 | + | 0.138376i | ||||
\(652\) | −9.11183e12 | − | 1.57822e13i | −1.97466 | − | 3.42021i | ||||
\(653\) | 3.82220e12 | + | 4.79289e12i | 0.822629 | + | 1.03154i | 0.998885 | + | 0.0472000i | \(0.0150298\pi\) |
−0.176256 | + | 0.984344i | \(0.556399\pi\) | |||||||
\(654\) | 2.12781e11 | + | 2.83937e12i | 0.0454813 | + | 0.606906i | ||||
\(655\) | 2.42269e11 | + | 6.17291e11i | 0.0514294 | + | 0.131040i | ||||
\(656\) | −1.43821e13 | − | 6.92604e12i | −3.03217 | − | 1.46022i | ||||
\(657\) | 5.38136e12 | + | 1.65993e12i | 1.12680 | + | 0.347572i | ||||
\(658\) | 1.56761e12 | − | 3.99422e12i | 0.326004 | − | 0.830645i | ||||
\(659\) | −3.46007e12 | + | 3.21048e12i | −0.714662 | + | 0.663109i | −0.951222 | − | 0.308508i | \(-0.900170\pi\) |
0.236560 | + | 0.971617i | \(0.423980\pi\) | |||||||
\(660\) | −1.60204e12 | − | 1.09225e12i | −0.328644 | − | 0.224066i | ||||
\(661\) | −1.07266e12 | + | 1.34508e12i | −0.218553 | + | 0.274057i | −0.879006 | − | 0.476810i | \(-0.841793\pi\) |
0.660453 | + | 0.750867i | \(0.270364\pi\) | |||||||
\(662\) | 1.88092e13 | + | 2.83504e12i | 3.80637 | + | 0.573717i | ||||
\(663\) | −1.60997e12 | + | 4.96611e11i | −0.323599 | + | 0.0998172i | ||||
\(664\) | −1.97482e12 | + | 2.63522e13i | −0.394250 | + | 5.26090i | ||||
\(665\) | −2.71582e11 | + | 1.85161e11i | −0.0538522 | + | 0.0367158i | ||||
\(666\) | 1.33560e12 | − | 5.85164e12i | 0.263052 | − | 1.15251i | ||||
\(667\) | −1.60299e12 | + | 7.02317e12i | −0.313592 | + | 1.37394i | ||||
\(668\) | 8.85561e12 | − | 6.03765e12i | 1.72078 | − | 1.17321i | ||||
\(669\) | −1.97604e11 | + | 2.63684e12i | −0.0381397 | + | 0.508940i | ||||
\(670\) | 4.86710e12 | − | 1.50130e12i | 0.933112 | − | 0.287827i | ||||
\(671\) | −5.34257e12 | − | 8.05264e11i | −1.01742 | − | 0.153351i | ||||
\(672\) | 2.08068e12 | − | 2.60909e12i | 0.393590 | − | 0.493546i | ||||
\(673\) | 7.23072e12 | + | 4.92982e12i | 1.35867 | + | 0.926325i | 0.999975 | − | 0.00712976i | \(-0.00226949\pi\) |
0.358695 | + | 0.933455i | \(0.383222\pi\) | |||||||
\(674\) | 5.21260e12 | − | 4.83658e12i | 0.972937 | − | 0.902753i | ||||
\(675\) | 9.23506e11 | − | 2.35305e12i | 0.171227 | − | 0.436280i | ||||
\(676\) | −4.96623e12 | − | 1.53188e12i | −0.914675 | − | 0.282140i | ||||
\(677\) | −3.54921e12 | − | 1.70921e12i | −0.649356 | − | 0.312713i | 0.0800536 | − | 0.996791i | \(-0.474491\pi\) |
−0.729410 | + | 0.684077i | \(0.760205\pi\) | |||||||
\(678\) | −7.17708e11 | − | 1.82869e12i | −0.130441 | − | 0.332358i | ||||
\(679\) | −3.79742e11 | − | 5.06731e12i | −0.0685606 | − | 0.914878i | ||||
\(680\) | −5.87721e12 | − | 7.36979e12i | −1.05410 | − | 1.32180i | ||||
\(681\) | 3.07965e11 | + | 5.33412e11i | 0.0548706 | + | 0.0950387i | ||||
\(682\) | −8.18786e12 | + | 1.41818e13i | −1.44924 | + | 2.51016i | ||||
\(683\) | −2.66159e11 | + | 4.01171e10i | −0.0468003 | + | 0.00705401i | −0.172401 | − | 0.985027i | \(-0.555152\pi\) |
0.125600 | + | 0.992081i | \(0.459914\pi\) | |||||||
\(684\) | −4.06153e12 | + | 1.95593e12i | −0.709476 | + | 0.341665i | ||||
\(685\) | −1.03440e12 | − | 9.59787e11i | −0.179508 | − | 0.166559i | ||||
\(686\) | 2.49279e12 | + | 1.09216e13i | 0.429762 | + | 1.88291i | ||||
\(687\) | 1.07099e12 | 0.183435 | ||||||||
\(688\) | −1.83033e13 | − | 1.10205e13i | −3.11445 | − | 1.87522i | ||||
\(689\) | 2.39946e10 | 0.00405627 | ||||||||
\(690\) | 2.55809e11 | + | 1.12077e12i | 0.0429630 | + | 0.188233i | ||||
\(691\) | 3.79867e11 | + | 3.52465e11i | 0.0633840 | + | 0.0588118i | 0.711229 | − | 0.702961i | \(-0.248139\pi\) |
−0.647845 | + | 0.761772i | \(0.724329\pi\) | |||||||
\(692\) | 2.13886e13 | − | 1.03002e13i | 3.54572 | − | 1.70753i | ||||
\(693\) | −5.52980e12 | + | 8.33483e11i | −0.910772 | + | 0.137277i | ||||
\(694\) | 1.01849e13 | − | 1.76407e13i | 1.66662 | − | 2.88667i | ||||
\(695\) | 2.01567e12 | + | 3.49124e12i | 0.327708 | + | 0.567607i | ||||
\(696\) | 4.48518e12 | + | 5.62424e12i | 0.724501 | + | 0.908495i | ||||
\(697\) | −6.62275e11 | − | 8.83744e12i | −0.106290 | − | 1.41834i | ||||
\(698\) | −5.16682e12 | − | 1.31648e13i | −0.823898 | − | 2.09926i | ||||
\(699\) | 1.69159e12 | + | 8.14629e11i | 0.268009 | + | 0.129066i | ||||
\(700\) | 9.07934e12 | + | 2.80061e12i | 1.42927 | + | 0.440870i | ||||
\(701\) | 6.02170e10 | − | 1.53430e11i | 0.00941864 | − | 0.0239983i | −0.926087 | − | 0.377310i | \(-0.876849\pi\) |
0.935506 | + | 0.353312i | \(0.114944\pi\) | |||||||
\(702\) | −3.85479e12 | + | 3.57672e12i | −0.599079 | + | 0.555864i | ||||
\(703\) | 1.11532e12 | + | 7.60414e11i | 0.172227 | + | 0.117422i | ||||
\(704\) | 2.28494e13 | − | 2.86522e13i | 3.50588 | − | 4.39624i | ||||
\(705\) | 4.42791e11 | + | 6.67400e10i | 0.0675069 | + | 0.0101750i | ||||
\(706\) | 2.46570e12 | − | 7.60569e11i | 0.373525 | − | 0.115217i | ||||
\(707\) | −4.18325e11 | + | 5.58216e12i | −0.0629690 | + | 0.840263i | ||||
\(708\) | −1.28698e12 | + | 8.77450e11i | −0.192497 | + | 0.131242i | ||||
\(709\) | −5.14611e11 | + | 2.25466e12i | −0.0764841 | + | 0.335099i | −0.998665 | − | 0.0516608i | \(-0.983549\pi\) |
0.922181 | + | 0.386760i | \(0.126406\pi\) | |||||||
\(710\) | 3.77918e11 | − | 1.65577e12i | 0.0558130 | − | 0.244533i | ||||
\(711\) | −1.06639e12 | + | 7.27054e11i | −0.156496 | + | 0.106697i | ||||
\(712\) | −8.61489e11 | + | 1.14958e13i | −0.125629 | + | 1.67640i | ||||
\(713\) | 6.77719e12 | − | 2.09048e12i | 0.982079 | − | 0.302931i | ||||
\(714\) | 3.45960e12 | + | 5.21451e11i | 0.498177 | + | 0.0750881i | ||||
\(715\) | −1.87655e12 | + | 2.35312e12i | −0.268524 | + | 0.336718i | ||||
\(716\) | −2.42305e13 | − | 1.65201e13i | −3.44552 | − | 2.34911i | ||||
\(717\) | −1.28945e12 | + | 1.19643e12i | −0.182208 | + | 0.169065i | ||||
\(718\) | −7.43330e11 | + | 1.89397e12i | −0.104381 | + | 0.265959i | ||||
\(719\) | −8.11801e12 | − | 2.50407e12i | −1.13284 | − | 0.349436i | −0.329031 | − | 0.944319i | \(-0.606722\pi\) |
−0.803812 | + | 0.594884i | \(0.797198\pi\) | |||||||
\(720\) | −7.29662e12 | − | 3.51387e12i | −1.01187 | − | 0.487292i | ||||
\(721\) | −3.69421e11 | − | 9.41269e11i | −0.0509111 | − | 0.129719i | ||||
\(722\) | 9.47317e11 | + | 1.26411e13i | 0.129741 | + | 1.73128i | ||||
\(723\) | −1.58778e12 | − | 1.99102e12i | −0.216107 | − | 0.270989i | ||||
\(724\) | 9.93271e12 | + | 1.72040e13i | 1.34352 | + | 2.32704i | ||||
\(725\) | −4.25309e12 | + | 7.36656e12i | −0.571720 | + | 0.990248i | ||||
\(726\) | 6.13560e12 | − | 9.24792e11i | 0.819676 | − | 0.123546i | ||||
\(727\) | 9.85841e12 | − | 4.74756e12i | 1.30889 | − | 0.630327i | 0.356237 | − | 0.934396i | \(-0.384060\pi\) |
0.952650 | + | 0.304069i | \(0.0983453\pi\) | |||||||
\(728\) | −9.14334e12 | − | 8.48378e12i | −1.20646 | − | 1.11943i | ||||
\(729\) | 9.79311e11 | + | 4.29064e12i | 0.128424 | + | 0.562663i | ||||
\(730\) | −6.29391e12 | −0.820290 | ||||||||
\(731\) | 2.17830e11 | − | 1.18593e13i | 0.0282156 | − | 1.53615i | ||||
\(732\) | 3.70296e12 | 0.476705 | ||||||||
\(733\) | 1.98706e12 | + | 8.70587e12i | 0.254239 | + | 1.11390i | 0.927303 | + | 0.374311i | \(0.122121\pi\) |
−0.673064 | + | 0.739584i | \(0.735022\pi\) | |||||||
\(734\) | 2.28460e11 | + | 2.11980e11i | 0.0290521 | + | 0.0269564i | ||||
\(735\) | −4.00768e11 | + | 1.93000e11i | −0.0506524 | + | 0.0243929i | ||||
\(736\) | −3.19624e13 | + | 4.81756e12i | −4.01504 | + | 0.605169i | ||||
\(737\) | −9.74445e12 | + | 1.68779e13i | −1.21662 | + | 2.10724i | ||||
\(738\) | −6.64521e12 | − | 1.15098e13i | −0.824622 | − | 1.42829i | ||||
\(739\) | 2.60302e12 | + | 3.26409e12i | 0.321054 | + | 0.402589i | 0.916001 | − | 0.401176i | \(-0.131398\pi\) |
−0.594947 | + | 0.803765i | \(0.702827\pi\) | |||||||
\(740\) | 3.66186e11 | + | 4.88641e12i | 0.0448910 | + | 0.599028i | ||||
\(741\) | −2.07605e11 | − | 5.28970e11i | −0.0252963 | − | 0.0644539i | ||||
\(742\) | −4.48924e10 | − | 2.16190e10i | −0.00543694 | − | 0.00261829i | ||||
\(743\) | −7.88758e12 | − | 2.43300e12i | −0.949498 | − | 0.292881i | −0.218945 | − | 0.975737i | \(-0.570261\pi\) |
−0.730553 | + | 0.682856i | \(0.760738\pi\) | |||||||
\(744\) | 2.58747e12 | − | 6.59275e12i | 0.309597 | − | 0.788840i | ||||
\(745\) | −1.34365e12 | + | 1.24672e12i | −0.159802 | + | 0.148275i | ||||
\(746\) | 2.49137e13 | + | 1.69859e13i | 2.94520 | + | 2.00800i | ||||
\(747\) | −7.85891e12 | + | 9.85477e12i | −0.923464 | + | 1.15799i | ||||
\(748\) | 5.65185e13 | + | 8.51879e12i | 6.60136 | + | 0.994995i | ||||
\(749\) | 1.83670e12 | − | 5.66546e11i | 0.213240 | − | 0.0657759i | ||||
\(750\) | −2.15621e11 | + | 2.87726e12i | −0.0248837 | + | 0.332050i | ||||
\(751\) | −2.71830e12 | + | 1.85330e12i | −0.311830 | + | 0.212602i | −0.709114 | − | 0.705094i | \(-0.750905\pi\) |
0.397285 | + | 0.917695i | \(0.369953\pi\) | |||||||
\(752\) | −5.29075e12 | + | 2.31803e13i | −0.603305 | + | 2.64325i | ||||
\(753\) | 5.45115e11 | − | 2.38830e12i | 0.0617889 | − | 0.270715i | ||||
\(754\) | 1.46206e13 | − | 9.96815e12i | 1.64738 | − | 1.12316i | ||||
\(755\) | 1.32550e11 | − | 1.76875e12i | 0.0148463 | − | 0.198110i | ||||
\(756\) | 7.62232e12 | − | 2.35117e12i | 0.848671 | − | 0.261780i | ||||
\(757\) | −3.24965e12 | − | 4.89806e11i | −0.359671 | − | 0.0542116i | −0.0332787 | − | 0.999446i | \(-0.510595\pi\) |
−0.326392 | + | 0.945234i | \(0.605833\pi\) | |||||||
\(758\) | 2.67681e12 | − | 3.35662e12i | 0.294514 | − | 0.369309i | ||||
\(759\) | −3.63439e12 | − | 2.47788e12i | −0.397505 | − | 0.271015i | ||||
\(760\) | 2.33057e12 | − | 2.16245e12i | 0.253397 | − | 0.235118i | ||||
\(761\) | 3.58088e11 | − | 9.12392e11i | 0.0387042 | − | 0.0986167i | −0.910215 | − | 0.414136i | \(-0.864084\pi\) |
0.948919 | + | 0.315520i | \(0.102179\pi\) | |||||||
\(762\) | −3.23805e12 | − | 9.98806e11i | −0.347925 | − | 0.107321i | ||||
\(763\) | −6.04043e12 | − | 2.90892e12i | −0.645219 | − | 0.310721i | ||||
\(764\) | 1.03647e13 | + | 2.64089e13i | 1.10062 | + | 2.80434i | ||||
\(765\) | −3.36000e11 | − | 4.48360e12i | −0.0354701 | − | 0.473315i | ||||
\(766\) | 1.02021e12 | + | 1.27931e12i | 0.107069 | + | 0.134260i | ||||
\(767\) | 1.20893e12 | + | 2.09392e12i | 0.126131 | + | 0.218465i | ||||
\(768\) | −3.12205e12 | + | 5.40756e12i | −0.323828 | + | 0.560887i | ||||
\(769\) | 9.51986e12 | − | 1.43489e12i | 0.981662 | − | 0.147962i | 0.361446 | − | 0.932393i | \(-0.382283\pi\) |
0.620216 | + | 0.784431i | \(0.287045\pi\) | |||||||
\(770\) | 5.63105e12 | − | 2.71177e12i | 0.577273 | − | 0.278000i | ||||
\(771\) | −1.70783e12 | − | 1.58463e12i | −0.174060 | − | 0.161504i | ||||
\(772\) | −6.90988e12 | − | 3.02742e13i | −0.700153 | − | 3.06757i | ||||
\(773\) | −6.25358e12 | −0.629971 | −0.314986 | − | 0.949096i | \(-0.602000\pi\) | ||||
−0.314986 | + | 0.949096i | \(0.602000\pi\) | |||||||
\(774\) | −7.42234e12 | − | 1.61656e13i | −0.743373 | − | 1.61904i | ||||
\(775\) | 8.37451e12 | 0.833877 | ||||||||
\(776\) | 1.09369e13 | + | 4.79179e13i | 1.08273 | + | 4.74373i | ||||
\(777\) | −8.41313e11 | − | 7.80624e11i | −0.0828062 | − | 0.0768329i | ||||
\(778\) | 1.46752e13 | − | 7.06721e12i | 1.43607 | − | 0.691575i | ||||
\(779\) | 2.95563e12 | − | 4.45489e11i | 0.287562 | − | 0.0433430i | ||||
\(780\) | 1.03139e12 | − | 1.78641e12i | 0.0997690 | − | 0.172805i | ||||
\(781\) | 3.24921e12 | + | 5.62780e12i | 0.312499 | + | 0.541264i | ||||
\(782\) | −2.11288e13 | − | 2.64947e13i | −2.02043 | − | 2.53354i | ||||
\(783\) | 5.33658e11 | + | 7.12117e12i | 0.0507382 | + | 0.677054i | ||||
\(784\) | −8.62881e12 | − | 2.19859e13i | −0.815697 | − | 2.07836i | ||||
\(785\) | 4.50833e12 | + | 2.17110e12i | 0.423743 | + | 0.204064i | ||||
\(786\) | 2.27487e12 | + | 7.01704e11i | 0.212596 | + | 0.0655772i | ||||
\(787\) | −3.23942e11 | + | 8.25390e11i | −0.0301010 | + | 0.0766960i | −0.945134 | − | 0.326683i | \(-0.894069\pi\) |
0.915033 | + | 0.403379i | \(0.132164\pi\) | |||||||
\(788\) | −1.44967e13 | + | 1.34510e13i | −1.33937 | + | 1.24276i | ||||
\(789\) | −3.07548e11 | − | 2.09682e11i | −0.0282531 | − | 0.0192626i | ||||
\(790\) | 8.99359e11 | − | 1.12776e12i | 0.0821507 | − | 0.103014i | ||||
\(791\) | 4.57396e12 | + | 6.89413e11i | 0.415430 | + | 0.0626160i | ||||
\(792\) | 5.16872e13 | − | 1.59434e13i | 4.66788 | − | 1.43985i | ||||
\(793\) | 4.29544e11 | − | 5.73187e12i | 0.0385726 | − | 0.514715i | ||||
\(794\) | −2.45828e13 | + | 1.67603e13i | −2.19502 | + | 1.49654i | ||||
\(795\) | 1.15710e9 | − | 5.06957e9i | 0.000102735 | − | 0.000450111i | ||||
\(796\) | −1.09640e13 | + | 4.80364e13i | −0.967965 | + | 4.24093i | ||||
\(797\) | −1.51785e13 | + | 1.03485e13i | −1.33249 | + | 0.908480i | −0.999408 | − | 0.0344164i | \(-0.989043\pi\) |
−0.333087 | + | 0.942896i | \(0.608090\pi\) | |||||||
\(798\) | −8.81829e10 | + | 1.17672e12i | −0.00769789 | + | 0.102721i | ||||
\(799\) | −1.26137e13 | + | 3.89080e12i | −1.09492 | + | 0.337737i | ||||
\(800\) | −3.77410e13 | − | 5.68854e12i | −3.25768 | − | 0.491016i | ||||
\(801\) | −3.42834e12 | + | 4.29901e12i | −0.294265 | + | 0.368996i | ||||
\(802\) | 1.59316e13 | + | 1.08620e13i | 1.35980 | + | 0.927095i | ||||
\(803\) | 1.76537e13 | − | 1.63803e13i | 1.49836 | − | 1.39028i | ||||
\(804\) | 4.87985e12 | − | 1.24337e13i | 0.411865 | − | 1.04941i | ||||
\(805\) | −2.58660e12 | − | 7.97859e11i | −0.217094 | − | 0.0669645i | ||||
\(806\) | −1.56962e13 | − | 7.55889e12i | −1.31005 | − | 0.630885i | ||||
\(807\) | 1.40014e12 | + | 3.56751e12i | 0.116210 | + | 0.296097i | ||||
\(808\) | −4.04619e12 | − | 5.39926e13i | −0.333961 | − | 4.45639i | ||||
\(809\) | −1.42843e13 | − | 1.79120e13i | −1.17244 | − | 1.47020i | −0.852474 | − | 0.522769i | \(-0.824899\pi\) |
−0.319969 | − | 0.947428i | \(-0.603673\pi\) | |||||||
\(810\) | −3.07537e12 | − | 5.32670e12i | −0.251024 | − | 0.434786i | ||||
\(811\) | −6.49496e11 | + | 1.12496e12i | −0.0527209 | + | 0.0913153i | −0.891181 | − | 0.453647i | \(-0.850123\pi\) |
0.838461 | + | 0.544962i | \(0.183456\pi\) | |||||||
\(812\) | −2.65423e13 | + | 4.00061e12i | −2.14258 | + | 0.322942i | ||||
\(813\) | 4.10817e12 | − | 1.97839e12i | 0.329792 | − | 0.158820i | ||||
\(814\) | −1.88154e13 | − | 1.74581e13i | −1.50212 | − | 1.39376i | ||||
\(815\) | 1.36413e12 | + | 5.97663e12i | 0.108304 | + | 0.474512i | ||||
\(816\) | −1.93870e13 | −1.53075 | ||||||||
\(817\) | 3.99417e12 | − | 2.25647e11i | 0.313637 | − | 0.0177186i | ||||
\(818\) | 2.92678e13 | 2.28560 | ||||||||
\(819\) | −1.32386e12 | − | 5.80021e12i | −0.102817 | − | 0.450470i | ||||
\(820\) | 7.95379e12 | + | 7.38004e12i | 0.614344 | + | 0.570028i | ||||
\(821\) | 1.95810e13 | − | 9.42973e12i | 1.50415 | − | 0.724361i | 0.513161 | − | 0.858292i | \(-0.328474\pi\) |
0.990991 | + | 0.133931i | \(0.0427601\pi\) | |||||||
\(822\) | −5.00923e12 | + | 7.55020e11i | −0.382691 | + | 0.0576813i | ||||
\(823\) | 4.99183e12 | − | 8.64610e12i | 0.379280 | − | 0.656933i | −0.611677 | − | 0.791107i | \(-0.709505\pi\) |
0.990958 | + | 0.134175i | \(0.0428383\pi\) | |||||||
\(824\) | 4.89018e12 | + | 8.47004e12i | 0.369532 | + | 0.640049i | ||||
\(825\) | −3.23839e12 | − | 4.06081e12i | −0.243381 | − | 0.305190i | ||||
\(826\) | −3.75210e11 | − | 5.00684e12i | −0.0280456 | − | 0.374243i | ||||
\(827\) | −5.35744e12 | − | 1.36505e13i | −0.398275 | − | 1.01479i | −0.979572 | − | 0.201096i | \(-0.935550\pi\) |
0.581297 | − | 0.813692i | \(-0.302546\pi\) | |||||||
\(828\) | −3.34472e13 | − | 1.61073e13i | −2.47299 | − | 1.19093i | ||||
\(829\) | −1.00505e13 | − | 3.10016e12i | −0.739079 | − | 0.227976i | −0.0977172 | − | 0.995214i | \(-0.531154\pi\) |
−0.641362 | + | 0.767239i | \(0.721630\pi\) | |||||||
\(830\) | 5.14664e12 | − | 1.31134e13i | 0.376420 | − | 0.959102i | ||||
\(831\) | −2.49334e12 | + | 2.31348e12i | −0.181375 | + | 0.168291i | ||||
\(832\) | 3.22133e13 | + | 2.19626e13i | 2.33066 | + | 1.58902i | ||||
\(833\) | 8.17548e12 | − | 1.02517e13i | 0.588316 | − | 0.737725i | ||||
\(834\) | 1.43108e13 | + | 2.15701e12i | 1.02428 | + | 0.154385i | ||||
\(835\) | −3.44528e12 | + | 1.06273e12i | −0.245265 | + | 0.0756543i | ||||
\(836\) | −1.44062e12 | + | 1.92237e13i | −0.102005 | + | 1.36116i | ||||
\(837\) | 5.80896e12 | − | 3.96048e12i | 0.409104 | − | 0.278922i | ||||
\(838\) | −2.05341e12 | + | 8.99658e12i | −0.143839 | + | 0.630201i | ||||
\(839\) | −4.15385e12 | + | 1.81992e13i | −0.289416 | + | 1.26801i | 0.595914 | + | 0.803048i | \(0.296790\pi\) |
−0.885329 | + | 0.464964i | \(0.846067\pi\) | |||||||
\(840\) | −2.23337e12 | + | 1.52269e12i | −0.154776 | + | 0.105525i | ||||
\(841\) | 7.11671e11 | − | 9.49659e12i | 0.0490566 | − | 0.654615i | ||||
\(842\) | 2.69438e13 | − | 8.31106e12i | 1.84737 | − | 0.569839i | ||||
\(843\) | 2.98974e12 | + | 4.50631e11i | 0.203896 | + | 0.0307324i | ||||
\(844\) | −6.23769e11 | + | 7.82182e11i | −0.0423139 | + | 0.0530599i | ||||
\(845\) | 1.44450e12 | + | 9.84841e11i | 0.0974679 | + | 0.0664525i | ||||
\(846\) | −1.45114e13 | + | 1.34646e13i | −0.973962 | + | 0.903704i | ||||
\(847\) | −5.33769e12 | + | 1.36002e13i | −0.356351 | + | 0.907968i | ||||
\(848\) | 2.63835e11 | + | 8.13823e10i | 0.0175207 | + | 0.00540441i | ||||
\(849\) | 1.16518e12 | + | 5.61123e11i | 0.0769679 | + | 0.0370658i | ||||
\(850\) | −1.46190e13 | − | 3.72486e13i | −0.960578 | − | 2.44751i | ||||
\(851\) | 8.30730e11 | + | 1.10853e13i | 0.0542971 | + | 0.724544i | ||||
\(852\) | −2.77689e12 | − | 3.48211e12i | −0.180543 | − | 0.226393i | ||||
\(853\) | −9.50512e12 | − | 1.64634e13i | −0.614734 | − | 1.06475i | −0.990431 | − | 0.138008i | \(-0.955930\pi\) |
0.375697 | − | 0.926742i | \(-0.377403\pi\) | |||||||
\(854\) | −5.96804e12 | + | 1.03369e13i | −0.383947 | + | 0.665016i | ||||
\(855\) | 1.49951e12 | − | 2.26015e11i | 0.0959628 | − | 0.0144641i | ||||
\(856\) | −1.67500e13 | + | 8.06639e12i | −1.06631 | + | 0.513508i | ||||
\(857\) | −6.07935e12 | − | 5.64081e12i | −0.384984 | − | 0.357213i | 0.463812 | − | 0.885934i | \(-0.346481\pi\) |
−0.848796 | + | 0.528721i | \(0.822672\pi\) | |||||||
\(858\) | 2.40434e12 | + | 1.05341e13i | 0.151462 | + | 0.663596i | ||||
\(859\) | 2.54720e13 | 1.59622 | 0.798111 | − | 0.602510i | \(-0.205833\pi\) | ||||
0.798111 | + | 0.602510i | \(0.205833\pi\) | |||||||
\(860\) | 9.68039e12 | + | 1.08251e13i | 0.603462 | + | 0.674820i | ||||
\(861\) | −2.54130e12 | −0.157595 | ||||||||
\(862\) | −2.21631e12 | − | 9.71027e12i | −0.136725 | − | 0.599030i | ||||
\(863\) | −8.66184e12 | − | 8.03701e12i | −0.531571 | − | 0.493226i | 0.368105 | − | 0.929784i | \(-0.380007\pi\) |
−0.899676 | + | 0.436558i | \(0.856197\pi\) | |||||||
\(864\) | −2.88692e13 | + | 1.39027e13i | −1.76247 | + | 0.848762i | ||||
\(865\) | −7.89663e12 | + | 1.19023e12i | −0.479589 | + | 0.0722865i | ||||
\(866\) | −9.58455e12 | + | 1.66009e13i | −0.579084 | + | 1.00300i | ||||
\(867\) | −3.10178e12 | − | 5.37244e12i | −0.186434 | − | 0.322913i | ||||
\(868\) | 1.64767e13 | + | 2.06612e13i | 0.985218 | + | 1.23542i | ||||
\(869\) | 4.12459e11 | + | 5.50388e12i | 0.0245353 | + | 0.327401i | ||||
\(870\) | −1.40102e12 | − | 3.56973e12i | −0.0829099 | − | 0.211251i | ||||
\(871\) | −1.86802e13 | − | 8.99591e12i | −1.09976 | − | 0.529619i | ||||
\(872\) | 6.19660e13 | + | 1.91140e13i | 3.62936 | + | 1.11951i | ||||
\(873\) | −8.56494e12 | + | 2.18231e13i | −0.499069 | + | 1.27161i | ||||
\(874\) | 8.37848e12 | − | 7.77409e12i | 0.485695 | − | 0.450659i | ||||
\(875\) | −5.61334e12 | − | 3.82711e12i | −0.323732 | − | 0.220717i | ||||
\(876\) | −1.02909e13 | + | 1.29043e13i | −0.590450 | + | 0.740401i | ||||
\(877\) | −3.39535e12 | − | 5.11767e11i | −0.193815 | − | 0.0292128i | 0.0514176 | − | 0.998677i | \(-0.483626\pi\) |
−0.245232 | + | 0.969464i | \(0.578864\pi\) | |||||||
\(878\) | −2.53733e13 | + | 7.82663e12i | −1.44096 | + | 0.444477i | ||||
\(879\) | −1.46847e11 | + | 1.95954e12i | −0.00829689 | + | 0.110714i | ||||
\(880\) | −2.86148e13 | + | 1.95092e13i | −1.60849 | + | 1.09665i | ||||
\(881\) | 6.46338e11 | − | 2.83179e12i | 0.0361466 | − | 0.158369i | −0.953634 | − | 0.300970i | \(-0.902690\pi\) |
0.989780 | + | 0.142601i | \(0.0455467\pi\) | |||||||
\(882\) | 4.37573e12 | − | 1.91713e13i | 0.243468 | − | 1.06670i | ||||
\(883\) | 2.26588e13 | − | 1.54485e13i | 1.25434 | − | 0.855191i | 0.260437 | − | 0.965491i | \(-0.416133\pi\) |
0.993898 | + | 0.110300i | \(0.0351811\pi\) | |||||||
\(884\) | −4.54410e12 | + | 6.06368e13i | −0.250272 | + | 3.33965i | ||||
\(885\) | 5.00702e11 | − | 1.54446e11i | 0.0274369 | − | 0.00846315i | ||||
\(886\) | 2.70826e13 | + | 4.08204e12i | 1.47652 | + | 0.222549i | ||||
\(887\) | 1.94797e13 | − | 2.44267e13i | 1.05664 | − | 1.32498i | 0.113146 | − | 0.993578i | \(-0.463907\pi\) |
0.943490 | − | 0.331402i | \(-0.107522\pi\) | |||||||
\(888\) | 9.17192e12 | + | 6.25331e12i | 0.494996 | + | 0.337483i | ||||
\(889\) | 5.84891e12 | − | 5.42699e12i | 0.314063 | − | 0.291408i | ||||
\(890\) | 2.24515e12 | − | 5.72056e12i | 0.119947 | − | 0.305621i | ||||
\(891\) | 2.24891e13 | + | 6.93698e12i | 1.19543 | + | 0.368740i | ||||
\(892\) | 8.59819e13 | + | 4.14067e13i | 4.54742 | + | 2.18992i | ||||
\(893\) | −1.62653e12 | − | 4.14433e12i | −0.0855914 | − | 0.218083i | ||||
\(894\) | 4.91746e11 | + | 6.56189e12i | 0.0257467 | + | 0.343566i | ||||
\(895\) | 6.15085e12 | + | 7.71292e12i | 0.320429 | + | 0.401805i | ||||
\(896\) | −1.82616e13 | − | 3.16300e13i | −0.946571 | − | 1.63951i | ||||
\(897\) | 2.33980e12 | − | 4.05266e12i | 0.120674 | − | 0.209013i | ||||
\(898\) | −2.96936e13 | + | 4.47559e12i | −1.52377 | + | 0.229671i | ||||
\(899\) | −2.13155e13 | + | 1.02650e13i | −1.08837 | + | 0.524132i | ||||
\(900\) | −3.21335e13 | − | 2.98155e13i | −1.63255 | − | 1.51479i | ||||
\(901\) | 3.41091e10 | + | 1.49442e11i | 0.00172428 | + | 0.00755459i | ||||
\(902\) | −5.68345e13 | −2.85879 | ||||||||
\(903\) | −3.38656e12 | − | 3.16427e11i | −0.169498 | − | 0.0158372i | ||||
\(904\) | −4.47406e13 | −2.22815 | ||||||||
\(905\) | −1.48702e12 | − | 6.51506e12i | −0.0736882 | − | 0.322849i | ||||
\(906\) | −4.66779e12 | − | 4.33107e12i | −0.230162 | − | 0.213559i | ||||
\(907\) | −5.82119e12 | + | 2.80334e12i | −0.285614 | + | 0.137544i | −0.571206 | − | 0.820807i | \(-0.693524\pi\) |
0.285592 | + | 0.958351i | \(0.407810\pi\) | |||||||
\(908\) | 2.19812e13 | − | 3.31313e12i | 1.07316 | − | 0.161753i | ||||
\(909\) | 1.29128e13 | − | 2.23657e13i | 0.627313 | − | 1.08654i | ||||
\(910\) | 3.32456e12 | + | 5.75830e12i | 0.160712 | + | 0.278361i | ||||
\(911\) | −2.43729e12 | − | 3.05627e12i | −0.117240 | − | 0.147014i | 0.719748 | − | 0.694235i | \(-0.244257\pi\) |
−0.836988 | + | 0.547221i | \(0.815686\pi\) | |||||||
\(912\) | −4.88642e11 | − | 6.52047e12i | −0.0233891 | − | 0.312106i | ||||
\(913\) | 1.96927e13 | + | 5.01762e13i | 0.937965 | + | 2.38990i | ||||
\(914\) | −3.81293e13 | − | 1.83621e13i | −1.80718 | − | 0.870291i | ||||
\(915\) | −1.19031e12 | − | 3.67163e11i | −0.0561392 | − | 0.0173167i | ||||
\(916\) | 1.41216e13 | − | 3.59811e13i | 0.662755 | − | 1.68867i | ||||
\(917\) | −4.10911e12 | + | 3.81270e12i | −0.191905 | + | 0.178062i | ||||
\(918\) | −2.77561e13 | − | 1.89238e13i | −1.28993 | − | 0.879458i | ||||
\(919\) | 1.74007e13 | − | 2.18197e13i | 0.804722 | − | 1.00909i | −0.194878 | − | 0.980827i | \(-0.562431\pi\) |
0.999601 | − | 0.0282622i | \(-0.00899733\pi\) | |||||||
\(920\) | 2.58892e13 | + | 3.90217e12i | 1.19144 | + | 0.179581i | ||||
\(921\) | 7.98703e12 | − | 2.46367e12i | 0.365778 | − | 0.112827i | ||||
\(922\) | −1.79781e12 | + | 2.39901e13i | −0.0819321 | + | 1.09331i | ||||
\(923\) | −5.71212e12 | + | 3.89446e12i | −0.259054 | + | 0.176620i | ||||
\(924\) | 3.64714e12 | − | 1.59792e13i | 0.164600 | − | 0.721158i | ||||
\(925\) | −2.92085e12 | + | 1.27971e13i | −0.131181 | + | 0.574742i | ||||
\(926\) | −1.89497e13 | + | 1.29197e13i | −0.846941 | + | 0.577435i | ||||
\(927\) | −3.48619e11 | + | 4.65200e12i | −0.0155057 | + | 0.206910i | ||||
\(928\) | 1.03034e14 | − | 3.17818e13i | 4.56053 | − | 1.40674i | ||||
\(929\) | −3.53489e13 | − | 5.32798e12i | −1.55706 | − | 0.234689i | −0.686638 | − | 0.726999i | \(-0.740914\pi\) |
−0.870420 | + | 0.492310i | \(0.836152\pi\) | |||||||
\(930\) | −2.35396e12 | + | 2.95177e12i | −0.103187 | + | 0.129393i | ||||
\(931\) | 3.65405e12 | + | 2.49129e12i | 0.159405 | + | 0.108680i | ||||
\(932\) | 4.96728e13 | − | 4.60896e13i | 2.15649 | − | 2.00093i | ||||
\(933\) | −9.97352e11 | + | 2.54121e12i | −0.0430904 | + | 0.109793i | ||||
\(934\) | −2.60102e13 | − | 8.02307e12i | −1.11836 | − | 0.344969i | ||||
\(935\) | −1.73231e13 | − | 8.34238e12i | −0.741266 | − | 0.356975i | ||||
\(936\) | 2.10233e13 | + | 5.35666e13i | 0.895283 | + | 2.28114i | ||||
\(937\) | 9.99621e11 | + | 1.33390e13i | 0.0423650 | + | 0.565322i | 0.977487 | + | 0.210996i | \(0.0676706\pi\) |
−0.935122 | + | 0.354326i | \(0.884710\pi\) | |||||||
\(938\) | 2.68442e13 | + | 3.36615e13i | 1.13224 | + | 1.41978i | ||||
\(939\) | −3.95926e12 | − | 6.85764e12i | −0.166195 | − | 0.287859i | ||||
\(940\) | 8.08062e12 | − | 1.39960e13i | 0.337574 | − | 0.584696i | ||||
\(941\) | 3.44067e12 | − | 5.18598e11i | 0.143051 | − | 0.0215614i | −0.0771265 | − | 0.997021i | \(-0.524575\pi\) |
0.220177 | + | 0.975460i | \(0.429336\pi\) | |||||||
\(942\) | 1.61849e13 | − | 7.79423e12i | 0.669701 | − | 0.322511i | ||||
\(943\) | 1.80440e13 | + | 1.67424e13i | 0.743069 | + | 0.689468i | ||||
\(944\) | 6.19093e12 | + | 2.71242e13i | 0.253736 | + | 1.11169i | ||||
\(945\) | −2.68331e12 | −0.109453 | ||||||||
\(946\) | −7.57383e13 | − | 7.07669e12i | −3.07472 | − | 0.287290i | ||||
\(947\) | 3.23664e12 | 0.130773 | 0.0653867 | − | 0.997860i | \(-0.479172\pi\) | ||||
0.0653867 | + | 0.997860i | \(0.479172\pi\) | |||||||
\(948\) | −8.41738e11 | − | 3.68789e12i | −0.0338485 | − | 0.148300i | ||||
\(949\) | 1.87811e13 | + | 1.74263e13i | 0.751661 | + | 0.697440i | ||||
\(950\) | 1.21595e13 | − | 5.85569e12i | 0.484349 | − | 0.233250i | ||||
\(951\) | 4.64733e12 | − | 7.00472e11i | 0.184243 | − | 0.0277702i | ||||
\(952\) | 3.98406e13 | − | 6.90060e13i | 1.57203 | − | 2.72283i | ||||
\(953\) | −3.15991e12 | − | 5.47312e12i | −0.124096 | − | 0.214940i | 0.797284 | − | 0.603605i | \(-0.206270\pi\) |
−0.921379 | + | 0.388665i | \(0.872936\pi\) | |||||||
\(954\) | 1.43326e11 | + | 1.79725e11i | 0.00560218 | + | 0.00702492i | ||||
\(955\) | −7.13186e11 | − | 9.51681e12i | −0.0277452 | − | 0.370234i | ||||
\(956\) | 2.31935e13 | + | 5.90960e13i | 0.898060 | + | 2.28822i | ||||
\(957\) | 1.32201e13 | + | 6.36647e12i | 0.509485 | + | 0.245355i | ||||
\(958\) | 1.39992e13 | + | 4.31818e12i | 0.536980 | + | 0.165636i | ||||
\(959\) | 4.35781e12 | − | 1.11035e13i | 0.166374 | − | 0.423913i | ||||
\(960\) | 6.19368e12 | − | 5.74690e12i | 0.235358 | − | 0.218380i | ||||
\(961\) | −2.60051e12 | − | 1.77300e12i | −0.0983567 | − | 0.0670585i | ||||
\(962\) | 1.70252e13 | − | 2.13489e13i | 0.640921 | − | 0.803689i | ||||
\(963\) | −8.76857e12 | − | 1.32165e12i | −0.328557 | − | 0.0495220i | ||||
\(964\) | −8.78260e13 | + | 2.70907e13i | −3.27549 | + | 1.01035i | ||||
\(965\) | −7.80627e11 | + | 1.04167e13i | −0.0289782 | + | 0.386687i | ||||
\(966\) | −8.02905e12 | + | 5.47411e12i | −0.296665 | + | 0.202263i | ||||
\(967\) | −1.94410e12 | + | 8.51765e12i | −0.0714988 | + | 0.313257i | −0.998013 | − | 0.0630020i | \(-0.979933\pi\) |
0.926515 | + | 0.376259i | \(0.122790\pi\) | |||||||
\(968\) | 3.14455e13 | − | 1.37772e14i | 1.15112 | − | 5.04337i | ||||
\(969\) | 2.99938e12 | − | 2.04494e12i | 0.109289 | − | 0.0745117i | ||||
\(970\) | 1.95801e12 | − | 2.61278e13i | 0.0710136 | − | 0.947610i | ||||
\(971\) | 1.40015e13 | − | 4.31889e12i | 0.505462 | − | 0.155914i | −0.0315283 | − | 0.999503i | \(-0.510037\pi\) |
0.536990 | + | 0.843589i | \(0.319561\pi\) | |||||||
\(972\) | −5.52945e13 | − | 8.33430e12i | −1.98694 | − | 0.299482i | ||||
\(973\) | −2.12467e13 | + | 2.66426e13i | −0.759949 | + | 0.952946i | ||||
\(974\) | 5.79188e13 | + | 3.94884e13i | 2.06207 | + | 1.40590i | ||||
\(975\) | 4.05059e12 | − | 3.75840e12i | 0.143548 | − | 0.133193i | ||||
\(976\) | 2.41638e13 | − | 6.15684e13i | 0.852396 | − | 2.17187i | ||||
\(977\) | 1.64717e13 | + | 5.08085e12i | 0.578379 | + | 0.178406i | 0.570123 | − | 0.821559i | \(-0.306896\pi\) |
0.00825662 | + | 0.999966i | \(0.497372\pi\) | |||||||
\(978\) | 1.98284e13 | + | 9.54885e12i | 0.693047 | + | 0.333754i | ||||
\(979\) | 8.59067e12 | + | 2.18887e13i | 0.298886 | + | 0.761548i | ||||
\(980\) | 1.19971e12 | + | 1.60090e13i | 0.0415488 | + | 0.554431i | ||||
\(981\) | 1.92850e13 | + | 2.41827e13i | 0.664829 | + | 0.833669i | ||||
\(982\) | 4.92479e11 | + | 8.52999e11i | 0.0169000 | + | 0.0292716i | ||||
\(983\) | 2.53399e13 | − | 4.38900e13i | 0.865595 | − | 1.49925i | −0.000861022 | − | 1.00000i | \(-0.500274\pi\) |
0.866456 | − | 0.499254i | \(-0.166393\pi\) | |||||||
\(984\) | 2.43058e13 | − | 3.66351e12i | 0.826479 | − | 0.124572i | ||||
\(985\) | 5.99367e12 | − | 2.88640e12i | 0.202876 | − | 0.0976997i | ||||
\(986\) | 8.28667e13 | + | 7.68891e13i | 2.79212 | + | 2.59071i | ||||
\(987\) | 8.42291e11 | + | 3.69032e12i | 0.0282511 | + | 0.123776i | ||||
\(988\) | −2.05087e13 | −0.684749 | ||||||||
\(989\) | 2.19609e13 | + | 2.45578e13i | 0.729907 | + | 0.816217i | ||||
\(990\) | −2.88345e13 | −0.954013 | ||||||||
\(991\) | −7.43055e12 | − | 3.25554e13i | −0.244731 | − | 1.07224i | −0.936651 | − | 0.350264i | \(-0.886092\pi\) |
0.691920 | − | 0.721974i | \(-0.256765\pi\) | |||||||
\(992\) | −7.78175e13 | − | 7.22041e13i | −2.55138 | − | 2.36733i | ||||
\(993\) | −1.51185e13 | + | 7.28070e12i | −0.493444 | + | 0.237630i | ||||
\(994\) | 1.41959e13 | − | 2.13969e12i | 0.461237 | − | 0.0695203i | ||||
\(995\) | 8.28735e12 | − | 1.43541e13i | 0.268048 | − | 0.464272i | ||||
\(996\) | −1.84713e13 | − | 3.19932e13i | −0.594745 | − | 1.03013i | ||||
\(997\) | 1.58299e13 | + | 1.98500e13i | 0.507398 | + | 0.636257i | 0.967880 | − | 0.251412i | \(-0.0808949\pi\) |
−0.460482 | + | 0.887669i | \(0.652323\pi\) | |||||||
\(998\) | 2.20958e12 | + | 2.94849e13i | 0.0705055 | + | 0.940831i | ||||
\(999\) | 4.02596e12 | + | 1.02580e13i | 0.127887 | + | 0.325849i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 43.10.g.a.10.32 | ✓ | 384 | |
43.13 | even | 21 | inner | 43.10.g.a.13.32 | yes | 384 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
43.10.g.a.10.32 | ✓ | 384 | 1.1 | even | 1 | trivial | |
43.10.g.a.13.32 | yes | 384 | 43.13 | even | 21 | inner |