Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), 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: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 9.7 | ||
Character | \(\chi\) | \(=\) | 17.9 |
Dual form | 17.10.d.a.2.7 |
$q$-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 \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.23497 | + | 2.23497i | −0.0987728 | + | 0.0987728i | −0.754766 | − | 0.655994i | \(-0.772250\pi\) |
0.655994 | + | 0.754766i | \(0.272250\pi\) | |||||||
\(3\) | −45.0140 | − | 18.6454i | −0.320850 | − | 0.132900i | 0.216445 | − | 0.976295i | \(-0.430554\pi\) |
−0.537295 | + | 0.843394i | \(0.680554\pi\) | |||||||
\(4\) | 502.010i | 0.980488i | ||||||||
\(5\) | 265.226 | − | 640.313i | 0.189781 | − | 0.458171i | −0.800137 | − | 0.599818i | \(-0.795240\pi\) |
0.989917 | + | 0.141647i | \(0.0452398\pi\) | |||||||
\(6\) | 142.277 | − | 58.9331i | 0.0448182 | − | 0.0185643i | ||||
\(7\) | −537.194 | − | 1296.90i | −0.0845649 | − | 0.204158i | 0.875940 | − | 0.482419i | \(-0.160242\pi\) |
−0.960505 | + | 0.278261i | \(0.910242\pi\) | |||||||
\(8\) | −2266.28 | − | 2266.28i | −0.195618 | − | 0.195618i | ||||
\(9\) | −12239.4 | − | 12239.4i | −0.621825 | − | 0.621825i | ||||
\(10\) | 838.309 | + | 2023.86i | 0.0265097 | + | 0.0640000i | ||||
\(11\) | −65465.7 | + | 27116.8i | −1.34818 | + | 0.558433i | −0.935784 | − | 0.352574i | \(-0.885306\pi\) |
−0.412392 | + | 0.911007i | \(0.635306\pi\) | |||||||
\(12\) | 9360.18 | − | 22597.5i | 0.130307 | − | 0.314590i | ||||
\(13\) | − | 180297.i | − | 1.75082i | −0.483378 | − | 0.875412i | \(-0.660590\pi\) | ||
0.483378 | − | 0.875412i | \(-0.339410\pi\) | |||||||
\(14\) | 4099.16 | + | 1697.93i | 0.0285180 | + | 0.0118125i | ||||
\(15\) | −23877.8 | + | 23877.8i | −0.121782 | + | 0.121782i | ||||
\(16\) | −246899. | −0.941844 | ||||||||
\(17\) | 41203.0 | − | 341892.i | 0.119649 | − | 0.992816i | ||||
\(18\) | 54709.3 | 0.122839 | ||||||||
\(19\) | −599782. | + | 599782.i | −1.05585 | + | 1.05585i | −0.0575042 | + | 0.998345i | \(0.518314\pi\) |
−0.998345 | + | 0.0575042i | \(0.981686\pi\) | |||||||
\(20\) | 321443. | + | 133146.i | 0.449231 | + | 0.186078i | ||||
\(21\) | 68395.0i | 0.0767428i | ||||||||
\(22\) | 85708.8 | − | 206919.i | 0.0780051 | − | 0.188321i | ||||
\(23\) | 1.45714e6 | − | 603568.i | 1.08574 | − | 0.449729i | 0.233222 | − | 0.972424i | \(-0.425073\pi\) |
0.852520 | + | 0.522695i | \(0.175073\pi\) | |||||||
\(24\) | 59758.8 | + | 144270.i | 0.0367664 | + | 0.0887619i | ||||
\(25\) | 1.04141e6 | + | 1.04141e6i | 0.533203 | + | 0.533203i | ||||
\(26\) | 402958. | + | 402958.i | 0.172934 | + | 0.172934i | ||||
\(27\) | 689733. | + | 1.66516e6i | 0.249772 | + | 0.603003i | ||||
\(28\) | 651058. | − | 269677.i | 0.200174 | − | 0.0829149i | ||||
\(29\) | −1.18611e6 | + | 2.86351e6i | −0.311410 | + | 0.751810i | 0.688244 | + | 0.725480i | \(0.258382\pi\) |
−0.999653 | + | 0.0263300i | \(0.991618\pi\) | |||||||
\(30\) | − | 106733.i | − | 0.0240575i | ||||||
\(31\) | −3.10406e6 | − | 1.28574e6i | −0.603674 | − | 0.250050i | 0.0598469 | − | 0.998208i | \(-0.480939\pi\) |
−0.663521 | + | 0.748158i | \(0.730939\pi\) | |||||||
\(32\) | 1.71215e6 | − | 1.71215e6i | 0.288647 | − | 0.288647i | ||||
\(33\) | 3.45248e6 | 0.506778 | ||||||||
\(34\) | 672032. | + | 856207.i | 0.0862452 | + | 0.109881i | ||||
\(35\) | −972902. | −0.109588 | ||||||||
\(36\) | 6.14428e6 | − | 6.14428e6i | 0.609691 | − | 0.609691i | ||||
\(37\) | −1.75560e7 | − | 7.27194e6i | −1.53999 | − | 0.637885i | −0.558519 | − | 0.829492i | \(-0.688630\pi\) |
−0.981472 | + | 0.191607i | \(0.938630\pi\) | |||||||
\(38\) | − | 2.68099e6i | − | 0.208578i | ||||||
\(39\) | −3.36171e6 | + | 8.11588e6i | −0.232685 | + | 0.561752i | ||||
\(40\) | −2.05221e6 | + | 850053.i | −0.126751 | + | 0.0525020i | ||||
\(41\) | 3.30907e6 | + | 7.98880e6i | 0.182885 | + | 0.441524i | 0.988559 | − | 0.150836i | \(-0.0481964\pi\) |
−0.805674 | + | 0.592360i | \(0.798196\pi\) | |||||||
\(42\) | −152861. | − | 152861.i | −0.00758010 | − | 0.00758010i | ||||
\(43\) | −7.27178e6 | − | 7.27178e6i | −0.324364 | − | 0.324364i | 0.526074 | − | 0.850439i | \(-0.323663\pi\) |
−0.850439 | + | 0.526074i | \(0.823663\pi\) | |||||||
\(44\) | −1.36129e7 | − | 3.28644e7i | −0.547536 | − | 1.32187i | ||||
\(45\) | −1.10832e7 | + | 4.59083e6i | −0.402912 | + | 0.166892i | ||||
\(46\) | −1.90771e6 | + | 4.60563e6i | −0.0628208 | + | 0.151663i | ||||
\(47\) | 5.71205e6i | 0.170746i | 0.996349 | + | 0.0853732i | \(0.0272082\pi\) | ||||
−0.996349 | + | 0.0853732i | \(0.972792\pi\) | |||||||
\(48\) | 1.11139e7 | + | 4.60353e6i | 0.302191 | + | 0.125172i | ||||
\(49\) | 2.71409e7 | − | 2.71409e7i | 0.672578 | − | 0.672578i | ||||
\(50\) | −4.65506e6 | −0.105332 | ||||||||
\(51\) | −8.22943e6 | + | 1.46217e7i | −0.170335 | + | 0.302644i | ||||
\(52\) | 9.05107e7 | 1.71666 | ||||||||
\(53\) | −5.32243e7 | + | 5.32243e7i | −0.926549 | + | 0.926549i | −0.997481 | − | 0.0709323i | \(-0.977403\pi\) |
0.0709323 | + | 0.997481i | \(0.477403\pi\) | |||||||
\(54\) | −5.26313e6 | − | 2.18006e6i | −0.0842310 | − | 0.0348896i | ||||
\(55\) | 4.91106e7i | 0.723674i | ||||||||
\(56\) | −1.72171e6 | + | 4.15659e6i | −0.0233946 | + | 0.0564795i | ||||
\(57\) | 3.81818e7 | − | 1.58154e7i | 0.479092 | − | 0.198447i | ||||
\(58\) | −3.74896e6 | − | 9.05079e6i | −0.0434995 | − | 0.105017i | ||||
\(59\) | 1.00197e8 | + | 1.00197e8i | 1.07652 | + | 1.07652i | 0.996819 | + | 0.0796988i | \(0.0253958\pi\) |
0.0796988 | + | 0.996819i | \(0.474604\pi\) | |||||||
\(60\) | −1.19869e7 | − | 1.19869e7i | −0.119406 | − | 0.119406i | ||||
\(61\) | 40367.5 | + | 97455.8i | 0.000373291 | + | 0.000901205i | 0.924066 | − | 0.382233i | \(-0.124845\pi\) |
−0.923693 | + | 0.383134i | \(0.874845\pi\) | |||||||
\(62\) | 9.81110e6 | − | 4.06389e6i | 0.0843247 | − | 0.0349284i | ||||
\(63\) | −9.29835e6 | + | 2.24482e7i | −0.0743658 | + | 0.179535i | ||||
\(64\) | − | 1.18759e8i | − | 0.884823i | ||||||
\(65\) | −1.15446e8 | − | 4.78194e7i | −0.802176 | − | 0.332272i | ||||
\(66\) | −7.71619e6 | + | 7.71619e6i | −0.0500559 | + | 0.0500559i | ||||
\(67\) | −1.57737e6 | −0.00956308 | −0.00478154 | − | 0.999989i | \(-0.501522\pi\) | ||||
−0.00478154 | + | 0.999989i | \(0.501522\pi\) | |||||||
\(68\) | 1.71633e8 | + | 2.06843e7i | 0.973444 | + | 0.117314i | ||||
\(69\) | −7.68456e7 | −0.408130 | ||||||||
\(70\) | 2.17441e6 | − | 2.17441e6i | 0.0108243 | − | 0.0108243i | ||||
\(71\) | −3.00906e8 | − | 1.24640e8i | −1.40530 | − | 0.582094i | −0.454178 | − | 0.890911i | \(-0.650067\pi\) |
−0.951122 | + | 0.308817i | \(0.900067\pi\) | |||||||
\(72\) | 5.54758e7i | 0.243281i | ||||||||
\(73\) | −7.03882e6 | + | 1.69932e7i | −0.0290100 | + | 0.0700362i | −0.937721 | − | 0.347390i | \(-0.887068\pi\) |
0.908711 | + | 0.417427i | \(0.137068\pi\) | |||||||
\(74\) | 5.54898e7 | − | 2.29846e7i | 0.215115 | − | 0.0891035i | ||||
\(75\) | −2.74606e7 | − | 6.62957e7i | −0.100215 | − | 0.241941i | ||||
\(76\) | −3.01096e8 | − | 3.01096e8i | −1.03525 | − | 1.03525i | ||||
\(77\) | 7.03356e7 | + | 7.03356e7i | 0.228017 | + | 0.228017i | ||||
\(78\) | −1.06254e7 | − | 2.56521e7i | −0.0325028 | − | 0.0784688i | ||||
\(79\) | 1.35926e8 | − | 5.63024e7i | 0.392627 | − | 0.162632i | −0.177631 | − | 0.984097i | \(-0.556843\pi\) |
0.570258 | + | 0.821466i | \(0.306843\pi\) | |||||||
\(80\) | −6.54841e7 | + | 1.58093e8i | −0.178744 | + | 0.431526i | ||||
\(81\) | 2.52879e8i | 0.652724i | ||||||||
\(82\) | −2.52504e7 | − | 1.04591e7i | −0.0616747 | − | 0.0255465i | ||||
\(83\) | 2.62257e8 | − | 2.62257e8i | 0.606563 | − | 0.606563i | −0.335483 | − | 0.942046i | \(-0.608900\pi\) |
0.942046 | + | 0.335483i | \(0.108900\pi\) | |||||||
\(84\) | −3.43350e7 | −0.0752454 | ||||||||
\(85\) | −2.07990e8 | − | 1.17062e8i | −0.432172 | − | 0.243237i | ||||
\(86\) | 3.25045e7 | 0.0640767 | ||||||||
\(87\) | 1.06783e8 | − | 1.06783e8i | 0.199832 | − | 0.199832i | ||||
\(88\) | 2.09818e8 | + | 8.69095e7i | 0.372968 | + | 0.154488i | ||||
\(89\) | 3.54830e8i | 0.599467i | 0.954023 | + | 0.299733i | \(0.0968977\pi\) | ||||
−0.954023 | + | 0.299733i | \(0.903102\pi\) | |||||||
\(90\) | 1.45104e7 | − | 3.50311e7i | 0.0233124 | − | 0.0562811i | ||||
\(91\) | −2.33827e8 | + | 9.68544e7i | −0.357444 | + | 0.148058i | ||||
\(92\) | 3.02997e8 | + | 7.31499e8i | 0.440954 | + | 1.06456i | ||||
\(93\) | 1.15753e8 | + | 1.15753e8i | 0.160457 | + | 0.160457i | ||||
\(94\) | −1.27663e7 | − | 1.27663e7i | −0.0168651 | − | 0.0168651i | ||||
\(95\) | 2.24970e8 | + | 5.43126e8i | 0.283380 | + | 0.684139i | ||||
\(96\) | −1.08995e8 | + | 4.51470e7i | −0.130974 | + | 0.0542511i | ||||
\(97\) | 5.89006e8 | − | 1.42199e9i | 0.675534 | − | 1.63088i | −0.0965249 | − | 0.995331i | \(-0.530773\pi\) |
0.772058 | − | 0.635552i | \(-0.219227\pi\) | |||||||
\(98\) | 1.21319e8i | 0.132865i | ||||||||
\(99\) | 1.13315e9 | + | 4.69366e8i | 1.18558 | + | 0.491082i | ||||
\(100\) | −5.22799e8 | + | 5.22799e8i | −0.522799 | + | 0.522799i | ||||
\(101\) | 469843. | 0.000449269 | 0.000224635 | − | 1.00000i | \(-0.499928\pi\) | ||||
0.000224635 | 1.00000i | \(0.499928\pi\) | ||||||||
\(102\) | −1.42865e7 | − | 5.10717e7i | −0.0130685 | − | 0.0467175i | ||||
\(103\) | 4.96841e7 | 0.0434961 | 0.0217480 | − | 0.999763i | \(-0.493077\pi\) | ||||
0.0217480 | + | 0.999763i | \(0.493077\pi\) | |||||||
\(104\) | −4.08603e8 | + | 4.08603e8i | −0.342493 | + | 0.342493i | ||||
\(105\) | 4.37942e7 | + | 1.81402e7i | 0.0351613 | + | 0.0145643i | ||||
\(106\) | − | 2.37910e8i | − | 0.183036i | ||||||
\(107\) | 4.10580e8 | − | 9.91228e8i | 0.302811 | − | 0.731049i | −0.697091 | − | 0.716983i | \(-0.745522\pi\) |
0.999901 | − | 0.0140661i | \(-0.00447754\pi\) | |||||||
\(108\) | −8.35928e8 | + | 3.46253e8i | −0.591237 | + | 0.244899i | ||||
\(109\) | −8.36519e8 | − | 2.01954e9i | −0.567619 | − | 1.37035i | −0.903557 | − | 0.428469i | \(-0.859053\pi\) |
0.335938 | − | 0.941884i | \(-0.390947\pi\) | |||||||
\(110\) | −1.09761e8 | − | 1.09761e8i | −0.0714793 | − | 0.0714793i | ||||
\(111\) | 6.54678e8 | + | 6.54678e8i | 0.409331 | + | 0.409331i | ||||
\(112\) | 1.32633e8 | + | 3.20204e8i | 0.0796470 | + | 0.192285i | ||||
\(113\) | −9.18343e8 | + | 3.80390e8i | −0.529849 | + | 0.219471i | −0.631537 | − | 0.775346i | \(-0.717576\pi\) |
0.101688 | + | 0.994816i | \(0.467576\pi\) | |||||||
\(114\) | −4.99882e7 | + | 1.20682e8i | −0.0277202 | + | 0.0669224i | ||||
\(115\) | − | 1.09311e9i | − | 0.582805i | ||||||
\(116\) | −1.43751e9 | − | 5.95436e8i | −0.737140 | − | 0.305334i | ||||
\(117\) | −2.20672e9 | + | 2.20672e9i | −1.08871 | + | 1.08871i | ||||
\(118\) | −4.47876e8 | −0.212661 | ||||||||
\(119\) | −4.65535e8 | + | 1.30226e8i | −0.212809 | + | 0.0595302i | ||||
\(120\) | 1.08228e8 | 0.0476457 | ||||||||
\(121\) | 1.88311e9 | − | 1.88311e9i | 0.798624 | − | 0.798624i | ||||
\(122\) | −308032. | − | 127591.i | −0.000125886 | − | 5.21435e-5i | ||||
\(123\) | − | 4.21307e8i | − | 0.165969i | ||||||
\(124\) | 6.45456e8 | − | 1.55827e9i | 0.245171 | − | 0.591895i | ||||
\(125\) | 2.19365e9 | − | 9.08640e8i | 0.803660 | − | 0.332887i | ||||
\(126\) | −2.93896e7 | − | 7.09527e7i | −0.0103878 | − | 0.0250785i | ||||
\(127\) | −1.78499e9 | − | 1.78499e9i | −0.608863 | − | 0.608863i | 0.333786 | − | 0.942649i | \(-0.391674\pi\) |
−0.942649 | + | 0.333786i | \(0.891674\pi\) | |||||||
\(128\) | 1.14204e9 | + | 1.14204e9i | 0.376043 | + | 0.376043i | ||||
\(129\) | 1.91747e8 | + | 4.62918e8i | 0.0609641 | + | 0.147180i | ||||
\(130\) | 3.64894e8 | − | 1.51144e8i | 0.112053 | − | 0.0464137i | ||||
\(131\) | −1.08139e9 | + | 2.61071e9i | −0.320820 | + | 0.774529i | 0.678386 | + | 0.734705i | \(0.262680\pi\) |
−0.999207 | + | 0.0398236i | \(0.987320\pi\) | |||||||
\(132\) | 1.73318e9i | 0.496890i | ||||||||
\(133\) | 1.10006e9 | + | 4.55659e8i | 0.304848 | + | 0.126272i | ||||
\(134\) | 3.52539e6 | − | 3.52539e6i | 0.000944573 | − | 0.000944573i | ||||
\(135\) | 1.24916e9 | 0.323680 | ||||||||
\(136\) | −8.68202e8 | + | 6.81447e8i | −0.217619 | + | 0.170808i | ||||
\(137\) | −8.41682e8 | −0.204129 | −0.102065 | − | 0.994778i | \(-0.532545\pi\) | ||||
−0.102065 | + | 0.994778i | \(0.532545\pi\) | |||||||
\(138\) | 1.71748e8 | − | 1.71748e8i | 0.0403121 | − | 0.0403121i | ||||
\(139\) | −1.78303e9 | − | 7.38555e8i | −0.405128 | − | 0.167809i | 0.170808 | − | 0.985304i | \(-0.445362\pi\) |
−0.575936 | + | 0.817495i | \(0.695362\pi\) | |||||||
\(140\) | − | 4.88406e8i | − | 0.107450i | ||||||
\(141\) | 1.06504e8 | − | 2.57122e8i | 0.0226923 | − | 0.0547840i | ||||
\(142\) | 9.51084e8 | − | 3.93952e8i | 0.196300 | − | 0.0813103i | ||||
\(143\) | 4.88906e9 | + | 1.18032e10i | 0.977717 | + | 2.36042i | ||||
\(144\) | 3.02189e9 | + | 3.02189e9i | 0.585662 | + | 0.585662i | ||||
\(145\) | 1.51896e9 | + | 1.51896e9i | 0.285358 | + | 0.285358i | ||||
\(146\) | −2.22478e7 | − | 5.37110e7i | −0.00405228 | − | 0.00978307i | ||||
\(147\) | −1.72778e9 | + | 7.15669e8i | −0.305182 | + | 0.126411i | ||||
\(148\) | 3.65058e9 | − | 8.81329e9i | 0.625439 | − | 1.50994i | ||||
\(149\) | − | 8.74761e9i | − | 1.45396i | −0.686661 | − | 0.726978i | \(-0.740924\pi\) | ||
0.686661 | − | 0.726978i | \(-0.259076\pi\) | |||||||
\(150\) | 2.09543e8 | + | 8.67955e7i | 0.0337958 | + | 0.0139987i | ||||
\(151\) | 3.99913e8 | − | 3.99913e8i | 0.0625993 | − | 0.0625993i | −0.675114 | − | 0.737713i | \(-0.735906\pi\) |
0.737713 | + | 0.675114i | \(0.235906\pi\) | |||||||
\(152\) | 2.71855e9 | 0.413087 | ||||||||
\(153\) | −4.68884e9 | + | 3.68025e9i | −0.691758 | + | 0.542957i | ||||
\(154\) | −3.14396e8 | −0.0450437 | ||||||||
\(155\) | −1.64656e9 | + | 1.64656e9i | −0.229131 | + | 0.229131i | ||||
\(156\) | −4.07425e9 | − | 1.68761e9i | −0.550791 | − | 0.228145i | ||||
\(157\) | 5.95073e9i | 0.781667i | 0.920461 | + | 0.390834i | \(0.127813\pi\) | ||||
−0.920461 | + | 0.390834i | \(0.872187\pi\) | |||||||
\(158\) | −1.77957e8 | + | 4.29625e8i | −0.0227173 | + | 0.0548445i | ||||
\(159\) | 3.38823e9 | − | 1.40345e9i | 0.420422 | − | 0.174145i | ||||
\(160\) | −6.42205e8 | − | 1.55042e9i | −0.0774700 | − | 0.187029i | ||||
\(161\) | −1.56554e9 | − | 1.56554e9i | −0.183631 | − | 0.183631i | ||||
\(162\) | −5.65177e8 | − | 5.65177e8i | −0.0644714 | − | 0.0644714i | ||||
\(163\) | −2.34680e9 | − | 5.66567e9i | −0.260394 | − | 0.628647i | 0.738569 | − | 0.674178i | \(-0.235502\pi\) |
−0.998963 | + | 0.0455310i | \(0.985502\pi\) | |||||||
\(164\) | −4.01046e9 | + | 1.66119e9i | −0.432909 | + | 0.179317i | ||||
\(165\) | 9.15688e8 | − | 2.21067e9i | 0.0961767 | − | 0.232191i | ||||
\(166\) | 1.17227e9i | 0.119824i | ||||||||
\(167\) | −9.73503e9 | − | 4.03238e9i | −0.968530 | − | 0.401178i | −0.158365 | − | 0.987381i | \(-0.550622\pi\) |
−0.810165 | + | 0.586202i | \(0.800622\pi\) | |||||||
\(168\) | 1.55003e8 | − | 1.55003e8i | 0.0150123 | − | 0.0150123i | ||||
\(169\) | −2.19024e10 | −2.06538 | ||||||||
\(170\) | 7.26481e8 | − | 2.03222e8i | 0.0667121 | − | 0.0186617i | ||||
\(171\) | 1.46819e10 | 1.31311 | ||||||||
\(172\) | 3.65051e9 | − | 3.65051e9i | 0.318035 | − | 0.318035i | ||||
\(173\) | −1.18172e10 | − | 4.89485e9i | −1.00302 | − | 0.415462i | −0.180113 | − | 0.983646i | \(-0.557646\pi\) |
−0.822902 | + | 0.568183i | \(0.807646\pi\) | |||||||
\(174\) | 4.77313e8i | 0.0394759i | ||||||||
\(175\) | 7.91169e8 | − | 1.91005e9i | 0.0637673 | − | 0.153948i | ||||
\(176\) | 1.61634e10 | − | 6.69510e9i | 1.26977 | − | 0.525957i | ||||
\(177\) | −2.64206e9 | − | 6.37849e9i | −0.202331 | − | 0.488471i | ||||
\(178\) | −7.93035e8 | − | 7.93035e8i | −0.0592110 | − | 0.0592110i | ||||
\(179\) | 1.74645e10 | + | 1.74645e10i | 1.27150 | + | 1.27150i | 0.945299 | + | 0.326206i | \(0.105770\pi\) |
0.326206 | + | 0.945299i | \(0.394230\pi\) | |||||||
\(180\) | −2.30464e9 | − | 5.56389e9i | −0.163635 | − | 0.395050i | ||||
\(181\) | 8.31500e8 | − | 3.44419e8i | 0.0575849 | − | 0.0238525i | −0.353705 | − | 0.935357i | \(-0.615078\pi\) |
0.411290 | + | 0.911505i | \(0.365078\pi\) | |||||||
\(182\) | 3.06130e8 | − | 7.39064e8i | 0.0206817 | − | 0.0499299i | ||||
\(183\) | − | 5.13955e6i | − | 0.000338762i | ||||||
\(184\) | −4.67015e9 | − | 1.93444e9i | −0.300366 | − | 0.124416i | ||||
\(185\) | −9.31264e9 | + | 9.31264e9i | −0.584521 | + | 0.584521i | ||||
\(186\) | −5.17410e8 | −0.0316976 | ||||||||
\(187\) | 6.57363e9 | + | 2.34995e10i | 0.393113 | + | 1.40531i | ||||
\(188\) | −2.86750e9 | −0.167415 | ||||||||
\(189\) | 1.78903e9 | − | 1.78903e9i | 0.101986 | − | 0.101986i | ||||
\(190\) | −1.71667e9 | − | 7.11070e8i | −0.0955645 | − | 0.0395841i | ||||
\(191\) | 6.14045e9i | 0.333849i | 0.985970 | + | 0.166924i | \(0.0533836\pi\) | ||||
−0.985970 | + | 0.166924i | \(0.946616\pi\) | |||||||
\(192\) | −2.21431e9 | + | 5.34582e9i | −0.117593 | + | 0.283896i | ||||
\(193\) | 8.82646e9 | − | 3.65604e9i | 0.457909 | − | 0.189672i | −0.141792 | − | 0.989896i | \(-0.545286\pi\) |
0.599700 | + | 0.800225i | \(0.295286\pi\) | |||||||
\(194\) | 1.86169e9 | + | 4.49451e9i | 0.0943625 | + | 0.227811i | ||||
\(195\) | 4.30509e9 | + | 4.30509e9i | 0.213219 | + | 0.213219i | ||||
\(196\) | 1.36250e10 | + | 1.36250e10i | 0.659454 | + | 0.659454i | ||||
\(197\) | 4.00552e9 | + | 9.67018e9i | 0.189479 | + | 0.457443i | 0.989860 | − | 0.142050i | \(-0.0453692\pi\) |
−0.800381 | + | 0.599492i | \(0.795369\pi\) | |||||||
\(198\) | −3.58158e9 | + | 1.48354e9i | −0.165608 | + | 0.0685971i | ||||
\(199\) | 1.35192e10 | − | 3.26383e10i | 0.611102 | − | 1.47533i | −0.250690 | − | 0.968068i | \(-0.580657\pi\) |
0.861791 | − | 0.507263i | \(-0.169343\pi\) | |||||||
\(200\) | − | 4.72027e9i | − | 0.208609i | ||||||
\(201\) | 7.10039e7 | + | 2.94108e7i | 0.00306832 | + | 0.00127094i | ||||
\(202\) | −1.05009e6 | + | 1.05009e6i | −4.43756e−5 | + | 4.43756e-5i | ||||
\(203\) | 4.35086e9 | 0.179822 | ||||||||
\(204\) | −7.34023e9 | − | 4.13126e9i | −0.296739 | − | 0.167012i | ||||
\(205\) | 5.99299e9 | 0.237001 | ||||||||
\(206\) | −1.11043e8 | + | 1.11043e8i | −0.00429623 | + | 0.00429623i | ||||
\(207\) | −2.52218e10 | − | 1.04472e10i | −0.954793 | − | 0.395488i | ||||
\(208\) | 4.45150e10i | 1.64900i | ||||||||
\(209\) | 2.30010e10 | − | 5.55292e10i | 0.833850 | − | 2.01309i | ||||
\(210\) | −1.38422e8 | + | 5.73361e7i | −0.00491154 | + | 0.00203442i | ||||
\(211\) | 1.72377e10 | + | 4.16154e10i | 0.598697 | + | 1.44538i | 0.874909 | + | 0.484287i | \(0.160921\pi\) |
−0.276212 | + | 0.961097i | \(0.589079\pi\) | |||||||
\(212\) | −2.67191e10 | − | 2.67191e10i | −0.908470 | − | 0.908470i | ||||
\(213\) | 1.12211e10 | + | 1.12211e10i | 0.373530 | + | 0.373530i | ||||
\(214\) | 1.29773e9 | + | 3.13300e9i | 0.0422983 | + | 0.102117i | ||||
\(215\) | −6.58488e9 | + | 2.72755e9i | −0.210172 | + | 0.0870561i | ||||
\(216\) | 2.21060e9 | − | 5.33686e9i | 0.0690985 | − | 0.166819i | ||||
\(217\) | 4.71636e9i | 0.144390i | ||||||||
\(218\) | 6.38321e9 | + | 2.64401e9i | 0.191419 | + | 0.0792883i | ||||
\(219\) | 6.33691e8 | − | 6.33691e8i | 0.0186157 | − | 0.0186157i | ||||
\(220\) | −2.46540e10 | −0.709554 | ||||||||
\(221\) | −6.16420e10 | − | 7.42876e9i | −1.73825 | − | 0.209484i | ||||
\(222\) | −2.92638e9 | −0.0808615 | ||||||||
\(223\) | −5.57623e9 | + | 5.57623e9i | −0.150997 | + | 0.150997i | −0.778563 | − | 0.627566i | \(-0.784051\pi\) |
0.627566 | + | 0.778563i | \(0.284051\pi\) | |||||||
\(224\) | −3.14025e9 | − | 1.30073e9i | −0.0833389 | − | 0.0345201i | ||||
\(225\) | − | 2.54925e10i | − | 0.663117i | ||||||
\(226\) | 1.20231e9 | − | 2.90263e9i | 0.0306569 | − | 0.0740124i | ||||
\(227\) | 3.82733e10 | − | 1.58533e10i | 0.956709 | − | 0.396282i | 0.150960 | − | 0.988540i | \(-0.451763\pi\) |
0.805748 | + | 0.592258i | \(0.201763\pi\) | |||||||
\(228\) | 7.93949e9 | + | 1.91676e10i | 0.194574 | + | 0.469744i | ||||
\(229\) | −4.03041e10 | − | 4.03041e10i | −0.968477 | − | 0.968477i | 0.0310412 | − | 0.999518i | \(-0.490118\pi\) |
−0.999518 | + | 0.0310412i | \(0.990118\pi\) | |||||||
\(230\) | 2.44307e9 | + | 2.44307e9i | 0.0575653 | + | 0.0575653i | ||||
\(231\) | −1.85465e9 | − | 4.47752e9i | −0.0428557 | − | 0.103463i | ||||
\(232\) | 9.17758e9 | − | 3.80148e9i | 0.207985 | − | 0.0861503i | ||||
\(233\) | 1.25998e10 | − | 3.04185e10i | 0.280066 | − | 0.676140i | −0.719770 | − | 0.694212i | \(-0.755753\pi\) |
0.999837 | + | 0.0180724i | \(0.00575292\pi\) | |||||||
\(234\) | − | 9.86391e9i | − | 0.215069i | ||||||
\(235\) | 3.65750e9 | + | 1.51499e9i | 0.0782310 | + | 0.0324043i | ||||
\(236\) | −5.02999e10 | + | 5.02999e10i | −1.05551 | + | 1.05551i | ||||
\(237\) | −7.16836e9 | −0.147588 | ||||||||
\(238\) | 7.49405e8 | − | 1.33151e9i | 0.0151398 | − | 0.0268997i | ||||
\(239\) | 2.59786e10 | 0.515022 | 0.257511 | − | 0.966275i | \(-0.417098\pi\) | ||||
0.257511 | + | 0.966275i | \(0.417098\pi\) | |||||||
\(240\) | 5.89540e9 | − | 5.89540e9i | 0.114700 | − | 0.114700i | ||||
\(241\) | −3.79228e10 | − | 1.57081e10i | −0.724142 | − | 0.299950i | −0.00999988 | − | 0.999950i | \(-0.503183\pi\) |
−0.714142 | + | 0.700000i | \(0.753183\pi\) | |||||||
\(242\) | 8.41741e9i | 0.157765i | ||||||||
\(243\) | 1.82910e10 | − | 4.41585e10i | 0.336520 | − | 0.812430i | ||||
\(244\) | −4.89238e7 | + | 2.02649e7i | −0.000883621 | + | 0.000366008i | ||||
\(245\) | −1.01802e10 | − | 2.45772e10i | −0.180513 | − | 0.435798i | ||||
\(246\) | 9.41610e8 | + | 9.41610e8i | 0.0163932 | + | 0.0163932i | ||||
\(247\) | 1.08139e11 | + | 1.08139e11i | 1.84861 | + | 1.84861i | ||||
\(248\) | 4.12082e9 | + | 9.94855e9i | 0.0691754 | + | 0.167004i | ||||
\(249\) | −1.66951e10 | + | 6.91535e9i | −0.275228 | + | 0.114003i | ||||
\(250\) | −2.87197e9 | + | 6.93354e9i | −0.0464996 | + | 0.112260i | ||||
\(251\) | 1.09883e10i | 0.174742i | 0.996176 | + | 0.0873709i | \(0.0278465\pi\) | ||||
−0.996176 | + | 0.0873709i | \(0.972153\pi\) | |||||||
\(252\) | −1.12692e10 | − | 4.66786e9i | −0.176032 | − | 0.0729148i | ||||
\(253\) | −7.90259e10 | + | 7.90259e10i | −1.21263 | + | 1.21263i | ||||
\(254\) | 7.97881e9 | 0.120278 | ||||||||
\(255\) | 7.17980e9 | + | 9.14747e9i | 0.106336 | + | 0.135478i | ||||
\(256\) | 5.56997e10 | 0.810538 | ||||||||
\(257\) | 4.55060e10 | − | 4.55060e10i | 0.650683 | − | 0.650683i | −0.302475 | − | 0.953157i | \(-0.597813\pi\) |
0.953157 | + | 0.302475i | \(0.0978128\pi\) | |||||||
\(258\) | −1.46316e9 | − | 6.06060e8i | −0.0205590 | − | 0.00851582i | ||||
\(259\) | 2.66749e10i | 0.368344i | ||||||||
\(260\) | 2.40058e10 | − | 5.79552e10i | 0.325789 | − | 0.786524i | ||||
\(261\) | 4.95648e10 | − | 2.05304e10i | 0.661136 | − | 0.273851i | ||||
\(262\) | −3.41798e9 | − | 8.25175e9i | −0.0448141 | − | 0.108191i | ||||
\(263\) | 4.04674e10 | + | 4.04674e10i | 0.521560 | + | 0.521560i | 0.918042 | − | 0.396483i | \(-0.129769\pi\) |
−0.396483 | + | 0.918042i | \(0.629769\pi\) | |||||||
\(264\) | −7.82429e9 | − | 7.82429e9i | −0.0991351 | − | 0.0991351i | ||||
\(265\) | 1.99637e10 | + | 4.81967e10i | 0.248677 | + | 0.600359i | ||||
\(266\) | −3.47698e9 | + | 1.44021e9i | −0.0425829 | + | 0.0176384i | ||||
\(267\) | 6.61595e9 | − | 1.59723e10i | 0.0796694 | − | 0.192339i | ||||
\(268\) | − | 7.91857e8i | − | 0.00937649i | ||||||
\(269\) | 1.46592e10 | + | 6.07204e9i | 0.170697 | + | 0.0707049i | 0.466395 | − | 0.884576i | \(-0.345552\pi\) |
−0.295699 | + | 0.955281i | \(0.595552\pi\) | |||||||
\(270\) | −2.79184e9 | + | 2.79184e9i | −0.0319708 | + | 0.0319708i | ||||
\(271\) | −5.18158e10 | −0.583580 | −0.291790 | − | 0.956482i | \(-0.594251\pi\) | ||||
−0.291790 | + | 0.956482i | \(0.594251\pi\) | |||||||
\(272\) | −1.01730e10 | + | 8.44128e10i | −0.112691 | + | 0.935078i | ||||
\(273\) | 1.23314e10 | 0.134363 | ||||||||
\(274\) | 1.88114e9 | − | 1.88114e9i | 0.0201624 | − | 0.0201624i | ||||
\(275\) | −9.64165e10 | − | 3.99370e10i | −1.01661 | − | 0.421093i | ||||
\(276\) | − | 3.85772e10i | − | 0.400166i | ||||||
\(277\) | 1.02121e10 | − | 2.46542e10i | 0.104221 | − | 0.251612i | −0.863163 | − | 0.504925i | \(-0.831520\pi\) |
0.967384 | + | 0.253313i | \(0.0815202\pi\) | |||||||
\(278\) | 5.63568e9 | − | 2.33437e9i | 0.0565906 | − | 0.0234406i | ||||
\(279\) | 2.22551e10 | + | 5.37285e10i | 0.219892 | + | 0.530867i | ||||
\(280\) | 2.20487e9 | + | 2.20487e9i | 0.0214374 | + | 0.0214374i | ||||
\(281\) | 1.44281e10 | + | 1.44281e10i | 0.138048 | + | 0.138048i | 0.772754 | − | 0.634706i | \(-0.218879\pi\) |
−0.634706 | + | 0.772754i | \(0.718879\pi\) | |||||||
\(282\) | 3.36629e8 | + | 8.12694e8i | 0.00316979 | + | 0.00765255i | ||||
\(283\) | −7.25061e10 | + | 3.00330e10i | −0.671948 | + | 0.278330i | −0.692456 | − | 0.721460i | \(-0.743472\pi\) |
0.0205084 | + | 0.999790i | \(0.493472\pi\) | |||||||
\(284\) | 6.25703e10 | − | 1.51058e11i | 0.570736 | − | 1.37788i | ||||
\(285\) | − | 2.86430e10i | − | 0.257167i | ||||||
\(286\) | −3.73068e10 | − | 1.54530e10i | −0.329717 | − | 0.136573i | ||||
\(287\) | 8.58308e9 | − | 8.58308e9i | 0.0746749 | − | 0.0746749i | ||||
\(288\) | −4.19113e10 | −0.358975 | ||||||||
\(289\) | −1.15193e11 | − | 2.81740e10i | −0.971368 | − | 0.237579i | ||||
\(290\) | −6.78966e9 | −0.0563712 | ||||||||
\(291\) | −5.30271e10 | + | 5.30271e10i | −0.433490 | + | 0.433490i | ||||
\(292\) | −8.53076e9 | − | 3.53356e9i | −0.0686697 | − | 0.0284439i | ||||
\(293\) | 1.21258e11i | 0.961180i | 0.876945 | + | 0.480590i | \(0.159578\pi\) | ||||
−0.876945 | + | 0.480590i | \(0.840422\pi\) | |||||||
\(294\) | 2.26203e9 | − | 5.46103e9i | 0.0176578 | − | 0.0426297i | ||||
\(295\) | 9.07325e10 | − | 3.75826e10i | 0.697531 | − | 0.288927i | ||||
\(296\) | 2.33066e10 | + | 5.62672e10i | 0.176468 | + | 0.426032i | ||||
\(297\) | −9.03076e10 | − | 9.03076e10i | −0.673474 | − | 0.673474i | ||||
\(298\) | 1.95507e10 | + | 1.95507e10i | 0.143611 | + | 0.143611i | ||||
\(299\) | −1.08821e11 | − | 2.62718e11i | −0.787396 | − | 1.90094i | ||||
\(300\) | 3.32811e10 | − | 1.37855e10i | 0.237220 | − | 0.0982599i | ||||
\(301\) | −5.52443e9 | + | 1.33371e10i | −0.0387916 | + | 0.0936513i | ||||
\(302\) | 1.78759e9i | 0.0123662i | ||||||||
\(303\) | −2.11495e7 | − | 8.76042e6i | −0.000144148 | − | 5.97081e-5i | ||||
\(304\) | 1.48085e11 | − | 1.48085e11i | 0.994446 | − | 0.994446i | ||||
\(305\) | 7.31088e7 | 0.000483749 | ||||||||
\(306\) | 2.25419e9 | − | 1.87047e10i | 0.0146975 | − | 0.121956i | ||||
\(307\) | −4.04188e10 | −0.259693 | −0.129847 | − | 0.991534i | \(-0.541448\pi\) | ||||
−0.129847 | + | 0.991534i | \(0.541448\pi\) | |||||||
\(308\) | −3.53092e10 | + | 3.53092e10i | −0.223568 | + | 0.223568i | ||||
\(309\) | −2.23648e9 | − | 9.26382e8i | −0.0139557 | − | 0.00578065i | ||||
\(310\) | − | 7.36002e9i | − | 0.0452639i | ||||||
\(311\) | −7.49690e10 | + | 1.80991e11i | −0.454423 | + | 1.09707i | 0.516200 | + | 0.856468i | \(0.327346\pi\) |
−0.970623 | + | 0.240605i | \(0.922654\pi\) | |||||||
\(312\) | 2.60115e10 | − | 1.07743e10i | 0.155407 | − | 0.0643715i | ||||
\(313\) | 7.12182e10 | + | 1.71936e11i | 0.419412 | + | 1.01255i | 0.982518 | + | 0.186166i | \(0.0596063\pi\) |
−0.563106 | + | 0.826385i | \(0.690394\pi\) | |||||||
\(314\) | −1.32997e10 | − | 1.32997e10i | −0.0772075 | − | 0.0772075i | ||||
\(315\) | 1.19077e10 | + | 1.19077e10i | 0.0681445 | + | 0.0681445i | ||||
\(316\) | 2.82643e10 | + | 6.82362e10i | 0.159458 | + | 0.384966i | ||||
\(317\) | −7.65716e10 | + | 3.17170e10i | −0.425894 | + | 0.176411i | −0.585326 | − | 0.810798i | \(-0.699034\pi\) |
0.159432 | + | 0.987209i | \(0.449034\pi\) | |||||||
\(318\) | −4.43593e9 | + | 1.07093e10i | −0.0243255 | + | 0.0587270i | ||||
\(319\) | − | 2.19625e11i | − | 1.18747i | ||||||
\(320\) | −7.60429e10 | − | 3.14980e10i | −0.405400 | − | 0.167922i | ||||
\(321\) | −3.69637e10 | + | 3.69637e10i | −0.194314 | + | 0.194314i | ||||
\(322\) | 6.99787e9 | 0.0362756 | ||||||||
\(323\) | 1.80348e11 | + | 2.29773e11i | 0.921933 | + | 1.17460i | ||||
\(324\) | −1.26948e11 | −0.639988 | ||||||||
\(325\) | 1.87763e11 | − | 1.87763e11i | 0.933545 | − | 0.933545i | ||||
\(326\) | 1.79076e10 | + | 7.41759e9i | 0.0878131 | + | 0.0363734i | ||||
\(327\) | 1.06505e11i | 0.515115i | ||||||||
\(328\) | 1.06056e10 | − | 2.56042e10i | 0.0505945 | − | 0.122146i | ||||
\(329\) | 7.40797e9 | − | 3.06848e9i | 0.0348592 | − | 0.0144392i | ||||
\(330\) | 2.89424e9 | + | 6.98732e9i | 0.0134345 | + | 0.0324338i | ||||
\(331\) | 1.48346e11 | + | 1.48346e11i | 0.679280 | + | 0.679280i | 0.959837 | − | 0.280557i | \(-0.0905192\pi\) |
−0.280557 | + | 0.959837i | \(0.590519\pi\) | |||||||
\(332\) | 1.31656e11 | + | 1.31656e11i | 0.594727 | + | 0.594727i | ||||
\(333\) | 1.25871e11 | + | 3.03879e11i | 0.560951 | + | 1.35426i | ||||
\(334\) | 3.07698e10 | − | 1.27453e10i | 0.135290 | − | 0.0560389i | ||||
\(335\) | −4.18361e8 | + | 1.01001e9i | −0.00181489 | + | 0.00438153i | ||||
\(336\) | − | 1.68866e10i | − | 0.0722798i | ||||||
\(337\) | −1.69927e11 | − | 7.03860e10i | −0.717675 | − | 0.297271i | −0.00619840 | − | 0.999981i | \(-0.501973\pi\) |
−0.711476 | + | 0.702710i | \(0.751973\pi\) | |||||||
\(338\) | 4.89512e10 | − | 4.89512e10i | 0.204004 | − | 0.204004i | ||||
\(339\) | 4.84308e10 | 0.199170 | ||||||||
\(340\) | 5.87661e10 | − | 1.04413e11i | 0.238491 | − | 0.423740i | ||||
\(341\) | 2.38075e11 | 0.953495 | ||||||||
\(342\) | −3.28137e10 | + | 3.28137e10i | −0.129699 | + | 0.129699i | ||||
\(343\) | −1.02114e11 | − | 4.22969e10i | −0.398346 | − | 0.165000i | ||||
\(344\) | 3.29599e10i | 0.126903i | ||||||||
\(345\) | −2.03815e10 | + | 4.92052e10i | −0.0774550 | + | 0.186993i | ||||
\(346\) | 3.73510e10 | − | 1.54713e10i | 0.140107 | − | 0.0580342i | ||||
\(347\) | −1.40525e11 | − | 3.39258e11i | −0.520321 | − | 1.25617i | −0.937704 | − | 0.347436i | \(-0.887052\pi\) |
0.417382 | − | 0.908731i | \(-0.362948\pi\) | |||||||
\(348\) | 5.36060e10 | + | 5.36060e10i | 0.195933 | + | 0.195933i | ||||
\(349\) | −2.35170e11 | − | 2.35170e11i | −0.848530 | − | 0.848530i | 0.141420 | − | 0.989950i | \(-0.454833\pi\) |
−0.989950 | + | 0.141420i | \(0.954833\pi\) | |||||||
\(350\) | 2.50067e9 | + | 6.03715e9i | 0.00890739 | + | 0.0215043i | ||||
\(351\) | 3.00223e11 | − | 1.24357e11i | 1.05575 | − | 0.437307i | ||||
\(352\) | −6.56591e10 | + | 1.58515e11i | −0.227957 | + | 0.550337i | ||||
\(353\) | 1.82460e11i | 0.625436i | 0.949846 | + | 0.312718i | \(0.101239\pi\) | ||||
−0.949846 | + | 0.312718i | \(0.898761\pi\) | |||||||
\(354\) | 2.01607e10 | + | 8.35083e9i | 0.0682324 | + | 0.0282628i | ||||
\(355\) | −1.59617e11 | + | 1.59617e11i | −0.533397 | + | 0.533397i | ||||
\(356\) | −1.78128e11 | −0.587770 | ||||||||
\(357\) | 2.33837e10 | + | 2.81808e9i | 0.0761915 | + | 0.00918219i | ||||
\(358\) | −7.80655e10 | −0.251180 | ||||||||
\(359\) | −1.69025e11 | + | 1.69025e11i | −0.537064 | + | 0.537064i | −0.922665 | − | 0.385602i | \(-0.873994\pi\) |
0.385602 | + | 0.922665i | \(0.373994\pi\) | |||||||
\(360\) | 3.55219e10 | + | 1.47136e10i | 0.111464 | + | 0.0461699i | ||||
\(361\) | − | 3.96788e11i | − | 1.22964i | ||||||
\(362\) | −1.08861e9 | + | 2.62815e9i | −0.00333185 | + | 0.00804380i | ||||
\(363\) | −1.19878e11 | + | 4.96551e10i | −0.362376 | + | 0.150101i | ||||
\(364\) | −4.86218e10 | − | 1.17383e11i | −0.145169 | − | 0.350470i | ||||
\(365\) | 9.01410e9 | + | 9.01410e9i | 0.0265830 | + | 0.0265830i | ||||
\(366\) | 1.14868e7 | + | 1.14868e7i | 3.34605e−5 | + | 3.34605e-5i | ||||
\(367\) | −1.76130e11 | − | 4.25217e11i | −0.506801 | − | 1.22353i | −0.945715 | − | 0.324996i | \(-0.894637\pi\) |
0.438914 | − | 0.898529i | \(-0.355363\pi\) | |||||||
\(368\) | −3.59767e11 | + | 1.49020e11i | −1.02260 | + | 0.423575i | ||||
\(369\) | 5.72770e10 | − | 1.38279e11i | 0.160828 | − | 0.388273i | ||||
\(370\) | − | 4.16270e10i | − | 0.115469i | ||||||
\(371\) | 9.76185e10 | + | 4.04349e10i | 0.267516 | + | 0.110809i | ||||
\(372\) | −5.81092e10 | + | 5.81092e10i | −0.157326 | + | 0.157326i | ||||
\(373\) | 5.13638e10 | 0.137394 | 0.0686970 | − | 0.997638i | \(-0.478116\pi\) | ||||
0.0686970 | + | 0.997638i | \(0.478116\pi\) | |||||||
\(374\) | −6.72126e10 | − | 3.78288e10i | −0.177635 | − | 0.0999772i | ||||
\(375\) | −1.15687e11 | −0.302095 | ||||||||
\(376\) | 1.29451e10 | − | 1.29451e10i | 0.0334011 | − | 0.0334011i | ||||
\(377\) | 5.16281e11 | + | 2.13851e11i | 1.31629 | + | 0.545224i | ||||
\(378\) | 7.99688e9i | 0.0201469i | ||||||||
\(379\) | 1.10077e11 | − | 2.65750e11i | 0.274044 | − | 0.661601i | −0.725604 | − | 0.688112i | \(-0.758440\pi\) |
0.999649 | + | 0.0265108i | \(0.00843965\pi\) | |||||||
\(380\) | −2.72655e11 | + | 1.12937e11i | −0.670790 | + | 0.277850i | ||||
\(381\) | 4.70677e10 | + | 1.13632e11i | 0.114436 | + | 0.276272i | ||||
\(382\) | −1.37237e10 | − | 1.37237e10i | −0.0329752 | − | 0.0329752i | ||||
\(383\) | −3.21854e11 | − | 3.21854e11i | −0.764300 | − | 0.764300i | 0.212796 | − | 0.977097i | \(-0.431743\pi\) |
−0.977097 | + | 0.212796i | \(0.931743\pi\) | |||||||
\(384\) | −3.01141e10 | − | 7.27019e10i | −0.0706772 | − | 0.170630i | ||||
\(385\) | 6.36916e10 | − | 2.63819e10i | 0.147744 | − | 0.0611975i | ||||
\(386\) | −1.15558e10 | + | 2.78981e10i | −0.0264945 | + | 0.0639633i | ||||
\(387\) | 1.78004e11i | 0.403395i | ||||||||
\(388\) | 7.13851e11 | + | 2.95687e11i | 1.59906 | + | 0.662352i | ||||
\(389\) | 2.64016e11 | − | 2.64016e11i | 0.584598 | − | 0.584598i | −0.351566 | − | 0.936163i | \(-0.614351\pi\) |
0.936163 | + | 0.351566i | \(0.114351\pi\) | |||||||
\(390\) | −1.92435e10 | −0.0421205 | ||||||||
\(391\) | −1.46316e11 | − | 5.23054e11i | −0.316590 | − | 1.13175i | ||||
\(392\) | −1.23018e11 | −0.263137 | ||||||||
\(393\) | 9.73555e10 | − | 9.73555e10i | 0.205871 | − | 0.205871i | ||||
\(394\) | −3.05648e10 | − | 1.26604e10i | −0.0638982 | − | 0.0264675i | ||||
\(395\) | − | 1.01968e11i | − | 0.210755i | ||||||
\(396\) | −2.35627e11 | + | 5.68853e11i | −0.481500 | + | 1.16244i | ||||
\(397\) | −5.91986e11 | + | 2.45209e11i | −1.19606 | + | 0.495425i | −0.889725 | − | 0.456497i | \(-0.849104\pi\) |
−0.306338 | + | 0.951923i | \(0.599104\pi\) | |||||||
\(398\) | 4.27307e10 | + | 1.03161e11i | 0.0853623 | + | 0.206083i | ||||
\(399\) | −4.10221e10 | − | 4.10221e10i | −0.0810288 | − | 0.0810288i | ||||
\(400\) | −2.57123e11 | − | 2.57123e11i | −0.502194 | − | 0.502194i | ||||
\(401\) | 2.93358e11 | + | 7.08229e11i | 0.566563 | + | 1.36780i | 0.904435 | + | 0.426612i | \(0.140293\pi\) |
−0.337872 | + | 0.941192i | \(0.609707\pi\) | |||||||
\(402\) | −2.24424e8 | + | 9.29596e7i | −0.000428600 | + | 0.000177532i | ||||
\(403\) | −2.31815e11 | + | 5.59652e11i | −0.437794 | + | 1.05693i | ||||
\(404\) | 2.35866e8i | 0.000440503i | ||||||||
\(405\) | 1.61922e11 | + | 6.70701e10i | 0.299059 | + | 0.123874i | ||||
\(406\) | −9.72406e9 | + | 9.72406e9i | −0.0177615 | + | 0.0177615i | ||||
\(407\) | 1.34651e12 | 2.43239 | ||||||||
\(408\) | 5.17872e10 | − | 1.44867e10i | 0.0925233 | − | 0.0258820i | ||||
\(409\) | 1.19521e11 | 0.211199 | 0.105599 | − | 0.994409i | \(-0.466324\pi\) | ||||
0.105599 | + | 0.994409i | \(0.466324\pi\) | |||||||
\(410\) | −1.33942e10 | + | 1.33942e10i | −0.0234093 | + | 0.0234093i | ||||
\(411\) | 3.78875e10 | + | 1.56935e10i | 0.0654949 | + | 0.0271289i | ||||
\(412\) | 2.49419e10i | 0.0426474i | ||||||||
\(413\) | 7.61205e10 | − | 1.83771e11i | 0.128744 | − | 0.310815i | ||||
\(414\) | 7.97193e10 | − | 3.30208e10i | 0.133371 | − | 0.0552441i | ||||
\(415\) | −9.83691e10 | − | 2.37484e11i | −0.162795 | − | 0.393023i | ||||
\(416\) | −3.08695e11 | − | 3.08695e11i | −0.505370 | − | 0.505370i | ||||
\(417\) | 6.64907e10 | + | 6.64907e10i | 0.107683 | + | 0.107683i | ||||
\(418\) | 7.26998e10 | + | 1.75513e11i | 0.116477 | + | 0.281200i | ||||
\(419\) | −2.71174e10 | + | 1.12324e10i | −0.0429818 | + | 0.0178037i | −0.404071 | − | 0.914728i | \(-0.632405\pi\) |
0.361089 | + | 0.932531i | \(0.382405\pi\) | |||||||
\(420\) | −9.10654e9 | + | 2.19851e10i | −0.0142801 | + | 0.0344752i | ||||
\(421\) | 5.90937e11i | 0.916794i | 0.888747 | + | 0.458397i | \(0.151576\pi\) | ||||
−0.888747 | + | 0.458397i | \(0.848424\pi\) | |||||||
\(422\) | −1.31535e11 | − | 5.44836e10i | −0.201900 | − | 0.0836296i | ||||
\(423\) | 6.99119e10 | − | 6.99119e10i | 0.106174 | − | 0.106174i | ||||
\(424\) | 2.41243e11 | 0.362500 | ||||||||
\(425\) | 3.98960e11 | − | 3.13141e11i | 0.593170 | − | 0.465575i | ||||
\(426\) | −5.01575e10 | −0.0737892 | ||||||||
\(427\) | 1.04705e8 | − | 1.04705e8i | 0.000152421 | − | 0.000152421i | ||||
\(428\) | 4.97606e11 | + | 2.06115e11i | 0.716785 | + | 0.296902i | ||||
\(429\) | − | 6.22470e11i | − | 0.887280i | ||||||
\(430\) | 8.62104e9 | − | 2.08130e10i | 0.0121605 | − | 0.0293581i | ||||
\(431\) | −4.43615e11 | + | 1.83752e11i | −0.619240 | + | 0.256498i | −0.670174 | − | 0.742204i | \(-0.733780\pi\) |
0.0509336 | + | 0.998702i | \(0.483780\pi\) | |||||||
\(432\) | −1.70294e11 | − | 4.11127e11i | −0.235247 | − | 0.567935i | ||||
\(433\) | 5.71613e11 | + | 5.71613e11i | 0.781460 | + | 0.781460i | 0.980077 | − | 0.198617i | \(-0.0636451\pi\) |
−0.198617 | + | 0.980077i | \(0.563645\pi\) | |||||||
\(434\) | −1.05409e10 | − | 1.05409e10i | −0.0142618 | − | 0.0142618i | ||||
\(435\) | −4.00528e10 | − | 9.66960e10i | −0.0536329 | − | 0.129481i | ||||
\(436\) | 1.01383e12 | − | 4.19941e11i | 1.34361 | − | 0.556543i | ||||
\(437\) | −5.11958e11 | + | 1.23598e12i | −0.671534 | + | 1.62123i | ||||
\(438\) | 2.83257e9i | 0.00367745i | ||||||||
\(439\) | −6.26014e11 | − | 2.59303e11i | −0.804440 | − | 0.333210i | −0.0577067 | − | 0.998334i | \(-0.518379\pi\) |
−0.746733 | + | 0.665124i | \(0.768379\pi\) | |||||||
\(440\) | 1.11299e11 | − | 1.11299e11i | 0.141564 | − | 0.141564i | ||||
\(441\) | −6.64376e11 | −0.836450 | ||||||||
\(442\) | 1.54371e11 | − | 1.21165e11i | 0.192383 | − | 0.151000i | ||||
\(443\) | −1.48947e12 | −1.83744 | −0.918722 | − | 0.394905i | \(-0.870778\pi\) | ||||
−0.918722 | + | 0.394905i | \(0.870778\pi\) | |||||||
\(444\) | −3.28655e11 | + | 3.28655e11i | −0.401344 | + | 0.401344i | ||||
\(445\) | 2.27202e11 | + | 9.41102e10i | 0.274658 | + | 0.113767i | ||||
\(446\) | − | 2.49255e10i | − | 0.0298288i | ||||||
\(447\) | −1.63103e11 | + | 3.93765e11i | −0.193231 | + | 0.466502i | ||||
\(448\) | −1.54019e11 | + | 6.37967e10i | −0.180644 | + | 0.0748250i | ||||
\(449\) | −5.23665e11 | − | 1.26424e12i | −0.608058 | − | 1.46798i | −0.865109 | − | 0.501584i | \(-0.832751\pi\) |
0.257051 | − | 0.966398i | \(-0.417249\pi\) | |||||||
\(450\) | 5.69750e10 | + | 5.69750e10i | 0.0654980 | + | 0.0654980i | ||||
\(451\) | −4.33261e11 | − | 4.33261e11i | −0.493123 | − | 0.493123i | ||||
\(452\) | −1.90960e11 | − | 4.61017e11i | −0.215188 | − | 0.519510i | ||||
\(453\) | −2.54582e10 | + | 1.05451e10i | −0.0284044 | + | 0.0117655i | ||||
\(454\) | −5.01081e10 | + | 1.20972e11i | −0.0553549 | + | 0.133639i | ||||
\(455\) | 1.75411e11i | 0.191869i | ||||||||
\(456\) | −1.22373e11 | − | 5.06885e10i | −0.132539 | − | 0.0548995i | ||||
\(457\) | 5.51378e11 | − | 5.51378e11i | 0.591325 | − | 0.591325i | −0.346664 | − | 0.937989i | \(-0.612686\pi\) |
0.937989 | + | 0.346664i | \(0.112686\pi\) | |||||||
\(458\) | 1.80157e11 | 0.191318 | ||||||||
\(459\) | 5.97725e11 | − | 1.67205e11i | 0.628557 | − | 0.175829i | ||||
\(460\) | 5.48751e11 | 0.571433 | ||||||||
\(461\) | −5.23702e11 | + | 5.23702e11i | −0.540046 | + | 0.540046i | −0.923542 | − | 0.383497i | \(-0.874720\pi\) |
0.383497 | + | 0.923542i | \(0.374720\pi\) | |||||||
\(462\) | 1.41522e10 | + | 5.86205e9i | 0.0144523 | + | 0.00598633i | ||||
\(463\) | 3.53227e9i | 0.00357223i | 0.999998 | + | 0.00178611i | \(0.000568538\pi\) | ||||
−0.999998 | + | 0.00178611i | \(0.999431\pi\) | |||||||
\(464\) | 2.92848e11 | − | 7.06998e11i | 0.293300 | − | 0.708088i | ||||
\(465\) | 1.04819e11 | − | 4.34174e10i | 0.103968 | − | 0.0430651i | ||||
\(466\) | 3.98245e10 | + | 9.61447e10i | 0.0391213 | + | 0.0944472i | ||||
\(467\) | −3.72825e11 | − | 3.72825e11i | −0.362726 | − | 0.362726i | 0.502090 | − | 0.864816i | \(-0.332565\pi\) |
−0.864816 | + | 0.502090i | \(0.832565\pi\) | |||||||
\(468\) | −1.10779e12 | − | 1.10779e12i | −1.06746 | − | 1.06746i | ||||
\(469\) | 8.47356e8 | + | 2.04570e9i | 0.000808702 | + | 0.00195238i | ||||
\(470\) | −1.15604e10 | + | 4.78846e9i | −0.0109278 | + | 0.00452643i | ||||
\(471\) | 1.10954e11 | − | 2.67866e11i | 0.103884 | − | 0.250798i | ||||
\(472\) | − | 4.54150e11i | − | 0.421173i | ||||||
\(473\) | 6.73239e11 | + | 2.78865e11i | 0.618435 | + | 0.256164i | ||||
\(474\) | 1.60211e10 | − | 1.60211e10i | 0.0145777 | − | 0.0145777i | ||||
\(475\) | −1.24924e12 | −1.12596 | ||||||||
\(476\) | −6.53749e10 | − | 2.33703e11i | −0.0583686 | − | 0.208657i | ||||
\(477\) | 1.30286e12 | 1.15230 | ||||||||
\(478\) | −5.80616e10 | + | 5.80616e10i | −0.0508702 | + | 0.0508702i | ||||
\(479\) | 1.13331e12 | + | 4.69434e11i | 0.983650 | + | 0.407441i | 0.815776 | − | 0.578367i | \(-0.196310\pi\) |
0.167874 | + | 0.985809i | \(0.446310\pi\) | |||||||
\(480\) | 8.17648e10i | 0.0703041i | ||||||||
\(481\) | −1.31111e12 | + | 3.16529e12i | −1.11682 | + | 2.69625i | ||||
\(482\) | 1.19864e11 | − | 4.96492e10i | 0.101152 | − | 0.0418987i | ||||
\(483\) | 4.12810e10 | + | 9.96612e10i | 0.0345135 | + | 0.0833228i | ||||
\(484\) | 9.45341e11 | + | 9.45341e11i | 0.783041 | + | 0.783041i | ||||
\(485\) | −7.54297e11 | − | 7.54297e11i | −0.619019 | − | 0.619019i | ||||
\(486\) | 5.78130e10 | + | 1.39573e11i | 0.0470070 | + | 0.113485i | ||||
\(487\) | −5.18240e11 | + | 2.14662e11i | −0.417494 | + | 0.172932i | −0.581534 | − | 0.813522i | \(-0.697547\pi\) |
0.164040 | + | 0.986454i | \(0.447547\pi\) | |||||||
\(488\) | 1.29378e8 | − | 3.12347e8i | 0.000103270 | − | 0.000249315i | ||||
\(489\) | 2.98792e11i | 0.236308i | ||||||||
\(490\) | 7.76818e10 | + | 3.21769e10i | 0.0608747 | + | 0.0252151i | ||||
\(491\) | 1.08174e12 | − | 1.08174e12i | 0.839956 | − | 0.839956i | −0.148897 | − | 0.988853i | \(-0.547572\pi\) |
0.988853 | + | 0.148897i | \(0.0475722\pi\) | |||||||
\(492\) | 2.11500e11 | 0.162730 | ||||||||
\(493\) | 9.30141e11 | + | 5.23505e11i | 0.709149 | + | 0.399126i | ||||
\(494\) | −4.83374e11 | −0.365184 | ||||||||
\(495\) | 6.01083e11 | − | 6.01083e11i | 0.449998 | − | 0.449998i | ||||
\(496\) | 7.66389e11 | + | 3.17449e11i | 0.568567 | + | 0.235508i | ||||
\(497\) | 4.57202e11i | 0.336128i | ||||||||
\(498\) | 2.18576e10 | − | 5.27688e10i | 0.0159246 | − | 0.0384455i | ||||
\(499\) | −1.57896e12 | + | 6.54026e11i | −1.14004 | + | 0.472218i | −0.871181 | − | 0.490963i | \(-0.836645\pi\) |
−0.268855 | + | 0.963181i | \(0.586645\pi\) | |||||||
\(500\) | 4.56146e11 | + | 1.10123e12i | 0.326392 | + | 0.787979i | ||||
\(501\) | 3.63027e11 | + | 3.63027e11i | 0.257436 | + | 0.257436i | ||||
\(502\) | −2.45584e10 | − | 2.45584e10i | −0.0172597 | − | 0.0172597i | ||||
\(503\) | −5.12505e11 | − | 1.23730e12i | −0.356978 | − | 0.861822i | −0.995722 | − | 0.0924022i | \(-0.970545\pi\) |
0.638743 | − | 0.769420i | \(-0.279455\pi\) | |||||||
\(504\) | 7.19467e10 | − | 2.98013e10i | 0.0496676 | − | 0.0205730i | ||||
\(505\) | 1.24615e8 | − | 3.00847e8i | 8.52626e−5 | − | 0.000205842i | ||||
\(506\) | − | 3.53242e11i | − | 0.239549i | ||||||
\(507\) | 9.85914e11 | + | 4.08379e11i | 0.662679 | + | 0.274491i | ||||
\(508\) | 8.96083e11 | − | 8.96083e11i | 0.596982 | − | 0.596982i | ||||
\(509\) | 1.86732e12 | 1.23307 | 0.616536 | − | 0.787327i | \(-0.288535\pi\) | ||||
0.616536 | + | 0.787327i | \(0.288535\pi\) | |||||||
\(510\) | −3.64910e10 | − | 4.39770e9i | −0.0238847 | − | 0.00287846i | ||||
\(511\) | 2.58198e10 | 0.0167517 | ||||||||
\(512\) | −7.09214e11 | + | 7.09214e11i | −0.456102 | + | 0.456102i | ||||
\(513\) | −1.41242e12 | − | 5.85045e11i | −0.900403 | − | 0.372959i | ||||
\(514\) | 2.03409e11i | 0.128539i | ||||||||
\(515\) | 1.31775e10 | − | 3.18134e10i | 0.00825471 | − | 0.0199286i | ||||
\(516\) | −2.32389e11 | + | 9.62587e10i | −0.144309 | + | 0.0597746i | ||||
\(517\) | −1.54892e11 | − | 3.73943e11i | −0.0953503 | − | 0.230196i | ||||
\(518\) | −5.96176e10 | − | 5.96176e10i | −0.0363824 | − | 0.0363824i | ||||
\(519\) | 4.40674e11 | + | 4.40674e11i | 0.266602 | + | 0.266602i | ||||
\(520\) | 1.53262e11 | + | 3.70007e11i | 0.0919218 | + | 0.221919i | ||||
\(521\) | 1.53866e12 | − | 6.37334e11i | 0.914899 | − | 0.378964i | 0.124969 | − | 0.992161i | \(-0.460117\pi\) |
0.789930 | + | 0.613197i | \(0.210117\pi\) | |||||||
\(522\) | −6.48910e10 | + | 1.56661e11i | −0.0382532 | + | 0.0923513i | ||||
\(523\) | 1.76906e12i | 1.03392i | 0.856010 | + | 0.516959i | \(0.172936\pi\) | ||||
−0.856010 | + | 0.516959i | \(0.827064\pi\) | |||||||
\(524\) | −1.31060e12 | − | 5.42869e11i | −0.759416 | − | 0.314561i | ||||
\(525\) | −7.12274e10 | + | 7.12274e10i | −0.0409195 | + | 0.0409195i | ||||
\(526\) | −1.80887e11 | −0.103032 | ||||||||
\(527\) | −5.67482e11 | + | 1.00828e12i | −0.320483 | + | 0.569419i | ||||
\(528\) | −8.52412e11 | −0.477306 | ||||||||
\(529\) | 4.85360e11 | − | 4.85360e11i | 0.269472 | − | 0.269472i | ||||
\(530\) | −1.52337e11 | − | 6.30999e10i | −0.0838616 | − | 0.0347366i | ||||
\(531\) | − | 2.45270e12i | − | 1.33881i | ||||||
\(532\) | −2.28745e11 | + | 5.52240e11i | −0.123808 | + | 0.298900i | ||||
\(533\) | 1.44035e12 | − | 5.96614e11i | 0.773031 | − | 0.320200i | ||||
\(534\) | 2.09112e10 | + | 5.04842e10i | 0.0111287 | + | 0.0268670i | ||||
\(535\) | −5.25800e11 | − | 5.25800e11i | −0.277478 | − | 0.277478i | ||||
\(536\) | 3.57478e9 | + | 3.57478e9i | 0.00187071 | + | 0.00187071i | ||||
\(537\) | −4.60515e11 | − | 1.11178e12i | −0.238979 | − | 0.576946i | ||||
\(538\) | −4.63338e10 | + | 1.91921e10i | −0.0238439 | + | 0.00987647i | ||||
\(539\) | −1.04082e12 | + | 2.51277e12i | −0.531163 | + | 1.28234i | ||||
\(540\) | 6.27091e11i | 0.317365i | ||||||||
\(541\) | −2.43336e12 | − | 1.00793e12i | −1.22129 | − | 0.505874i | −0.323469 | − | 0.946239i | \(-0.604849\pi\) |
−0.897819 | + | 0.440364i | \(0.854849\pi\) | |||||||
\(542\) | 1.15807e11 | − | 1.15807e11i | 0.0576418 | − | 0.0576418i | ||||
\(543\) | −4.38510e10 | −0.0216461 | ||||||||
\(544\) | −5.14825e11 | − | 6.55916e11i | −0.252037 | − | 0.321110i | ||||
\(545\) | −1.51500e12 | −0.735579 | ||||||||
\(546\) | −2.75603e10 | + | 2.75603e10i | −0.0132714 | + | 0.0132714i | ||||
\(547\) | 1.30349e12 | + | 5.39923e11i | 0.622536 | + | 0.257863i | 0.671578 | − | 0.740934i | \(-0.265617\pi\) |
−0.0490422 | + | 0.998797i | \(0.515617\pi\) | |||||||
\(548\) | − | 4.22533e11i | − | 0.200146i | ||||||
\(549\) | 6.98725e8 | − | 1.68687e9i | 0.000328270 | − | 0.000792513i | ||||
\(550\) | 3.04746e11 | − | 1.26230e11i | 0.142006 | − | 0.0588208i | ||||
\(551\) | −1.00608e12 | − | 2.42889e12i | −0.464996 | − | 1.12260i | ||||
\(552\) | 1.74154e11 | + | 1.74154e11i | 0.0798376 | + | 0.0798376i | ||||
\(553\) | −1.46037e11 | − | 1.46037e11i | −0.0664050 | − | 0.0664050i | ||||
\(554\) | 3.22777e10 | + | 7.79252e10i | 0.0145582 | + | 0.0351467i | ||||
\(555\) | 5.92837e11 | − | 2.45561e11i | 0.265227 | − | 0.109860i | ||||
\(556\) | 3.70762e11 | − | 8.95099e11i | 0.164535 | − | 0.397223i | ||||
\(557\) | − | 3.98910e12i | − | 1.75601i | −0.478655 | − | 0.878003i | \(-0.658875\pi\) | ||
0.478655 | − | 0.878003i | \(-0.341125\pi\) | |||||||
\(558\) | −1.69821e11 | − | 7.03422e10i | −0.0741546 | − | 0.0307158i | ||||
\(559\) | −1.31108e12 | + | 1.31108e12i | −0.567904 | + | 0.567904i | ||||
\(560\) | 2.40208e11 | 0.103215 | ||||||||
\(561\) | 1.42252e11 | − | 1.18037e12i | 0.0606354 | − | 0.503138i | ||||
\(562\) | −6.44928e10 | −0.0272708 | ||||||||
\(563\) | 1.22441e12 | − | 1.22441e12i | 0.513617 | − | 0.513617i | −0.402016 | − | 0.915633i | \(-0.631690\pi\) |
0.915633 | + | 0.402016i | \(0.131690\pi\) | |||||||
\(564\) | 1.29078e11 | + | 5.34658e10i | 0.0537150 | + | 0.0222495i | ||||
\(565\) | 6.88917e11i | 0.284412i | ||||||||
\(566\) | 9.49263e10 | − | 2.29172e11i | 0.0388788 | − | 0.0938616i | ||||
\(567\) | 3.27959e11 | − | 1.35845e11i | 0.133259 | − | 0.0551976i | ||||
\(568\) | 3.99471e11 | + | 9.64408e11i | 0.161034 | + | 0.388771i | ||||
\(569\) | 7.92968e11 | + | 7.92968e11i | 0.317140 | + | 0.317140i | 0.847667 | − | 0.530528i | \(-0.178006\pi\) |
−0.530528 | + | 0.847667i | \(0.678006\pi\) | |||||||
\(570\) | 6.40162e10 | + | 6.40162e10i | 0.0254011 | + | 0.0254011i | ||||
\(571\) | 1.66959e12 | + | 4.03074e12i | 0.657275 | + | 1.58680i | 0.801996 | + | 0.597329i | \(0.203771\pi\) |
−0.144721 | + | 0.989472i | \(0.546229\pi\) | |||||||
\(572\) | −5.92534e12 | + | 2.45436e12i | −2.31436 | + | 0.958640i | ||||
\(573\) | 1.14491e11 | − | 2.76406e11i | 0.0443687 | − | 0.107115i | ||||
\(574\) | 3.83659e10i | 0.0147517i | ||||||||
\(575\) | 2.14605e12 | + | 8.88922e11i | 0.818717 | + | 0.339124i | ||||
\(576\) | −1.45354e12 | + | 1.45354e12i | −0.550205 | + | 0.550205i | ||||
\(577\) | −1.07137e12 | −0.402390 | −0.201195 | − | 0.979551i | \(-0.564483\pi\) | ||||
−0.201195 | + | 0.979551i | \(0.564483\pi\) | |||||||
\(578\) | 3.20420e11 | − | 1.94484e11i | 0.119411 | − | 0.0724785i | ||||
\(579\) | −4.65483e11 | −0.172127 | ||||||||
\(580\) | −7.62532e11 | + | 7.62532e11i | −0.279790 | + | 0.279790i | ||||
\(581\) | −4.81005e11 | − | 1.99239e11i | −0.175128 | − | 0.0725406i | ||||
\(582\) | − | 2.37028e11i | − | 0.0856340i | ||||||
\(583\) | 2.04109e12 | − | 4.92763e12i | 0.731735 | − | 1.76657i | ||||
\(584\) | 5.44634e10 | − | 2.25595e10i | 0.0193752 | − | 0.00802549i | ||||
\(585\) | 8.27710e11 | + | 1.99827e12i | 0.292198 | + | 0.705428i | ||||
\(586\) | −2.71008e11 | − | 2.71008e11i | −0.0949385 | − | 0.0949385i | ||||
\(587\) | 1.28357e12 | + | 1.28357e12i | 0.446219 | + | 0.446219i | 0.894095 | − | 0.447877i | \(-0.147820\pi\) |
−0.447877 | + | 0.894095i | \(0.647820\pi\) | |||||||
\(588\) | −3.59273e11 | − | 8.67361e11i | −0.123944 | − | 0.299228i | ||||
\(589\) | 2.63292e12 | − | 1.09059e12i | 0.901404 | − | 0.373374i | ||||
\(590\) | −1.18788e11 | + | 2.86781e11i | −0.0403590 | + | 0.0974352i | ||||
\(591\) | − | 5.09978e11i | − | 0.171952i | ||||||
\(592\) | 4.33456e12 | + | 1.79543e12i | 1.45043 | + | 0.600788i | ||||
\(593\) | −1.57482e12 | + | 1.57482e12i | −0.522978 | + | 0.522978i | −0.918470 | − | 0.395491i | \(-0.870574\pi\) |
0.395491 | + | 0.918470i | \(0.370574\pi\) | |||||||
\(594\) | 4.03670e11 | 0.133042 | ||||||||
\(595\) | −4.00865e10 | + | 3.32627e11i | −0.0131121 | + | 0.108801i | ||||
\(596\) | 4.39139e12 | 1.42559 | ||||||||
\(597\) | −1.21711e12 | + | 1.21711e12i | −0.392144 | + | 0.392144i | ||||
\(598\) | 8.30380e11 | + | 3.43954e11i | 0.265535 | + | 0.109988i | ||||
\(599\) | 2.65815e12i | 0.843644i | 0.906679 | + | 0.421822i | \(0.138609\pi\) | ||||
−0.906679 | + | 0.421822i | \(0.861391\pi\) | |||||||
\(600\) | −8.80115e10 | + | 2.12478e11i | −0.0277242 | + | 0.0669321i | ||||
\(601\) | −2.42760e11 | + | 1.00555e11i | −0.0759002 | + | 0.0314389i | −0.420311 | − | 0.907380i | \(-0.638079\pi\) |
0.344410 | + | 0.938819i | \(0.388079\pi\) | |||||||
\(602\) | −1.74612e10 | − | 4.21551e10i | −0.00541864 | − | 0.0130818i | ||||
\(603\) | 1.93061e10 | + | 1.93061e10i | 0.00594656 | + | 0.00594656i | ||||
\(604\) | 2.00760e11 | + | 2.00760e11i | 0.0613778 | + | 0.0613778i | ||||
\(605\) | −7.06331e11 | − | 1.70523e12i | −0.214343 | − | 0.517469i | ||||
\(606\) | 6.68480e7 | − | 2.76893e7i | 2.01355e−5 | − | 8.34038e-6i | ||||
\(607\) | 1.51345e12 | − | 3.65380e12i | 0.452501 | − | 1.09243i | −0.518867 | − | 0.854855i | \(-0.673646\pi\) |
0.971368 | − | 0.237580i | \(-0.0763540\pi\) | |||||||
\(608\) | 2.05383e12i | 0.609535i | ||||||||
\(609\) | −1.95850e11 | − | 8.11237e10i | −0.0576960 | − | 0.0238985i | ||||
\(610\) | −1.63396e8 | + | 1.63396e8i | −4.77813e−5 | + | 4.77813e-5i | ||||
\(611\) | 1.02986e12 | 0.298947 | ||||||||
\(612\) | −1.84752e12 | − | 2.35385e12i | −0.532363 | − | 0.678260i | ||||
\(613\) | −1.76259e12 | −0.504171 | −0.252086 | − | 0.967705i | \(-0.581116\pi\) | ||||
−0.252086 | + | 0.967705i | \(0.581116\pi\) | |||||||
\(614\) | 9.03349e10 | − | 9.03349e10i | 0.0256506 | − | 0.0256506i | ||||
\(615\) | −2.69769e11 | − | 1.11742e11i | −0.0760420 | − | 0.0314976i | ||||
\(616\) | − | 3.18801e11i | − | 0.0892085i | ||||||
\(617\) | 7.33685e10 | − | 1.77127e11i | 0.0203810 | − | 0.0492042i | −0.913361 | − | 0.407150i | \(-0.866523\pi\) |
0.933742 | + | 0.357946i | \(0.116523\pi\) | |||||||
\(618\) | 7.06892e9 | − | 2.92804e9i | 0.00194942 | − | 0.000807475i | ||||
\(619\) | 7.57422e11 | + | 1.82858e12i | 0.207362 | + | 0.500617i | 0.993006 | − | 0.118062i | \(-0.0376682\pi\) |
−0.785644 | + | 0.618679i | \(0.787668\pi\) | |||||||
\(620\) | −8.26588e11 | − | 8.26588e11i | −0.224660 | − | 0.224660i | ||||
\(621\) | 2.01008e12 | + | 2.01008e12i | 0.542376 | + | 0.542376i | ||||
\(622\) | −2.36957e11 | − | 5.72064e11i | −0.0634764 | − | 0.153246i | ||||
\(623\) | 4.60179e11 | − | 1.90613e11i | 0.122386 | − | 0.0506939i | ||||
\(624\) | 8.30001e11 | − | 2.00380e12i | 0.219153 | − | 0.529083i | ||||
\(625\) | 1.23090e12i | 0.322674i | ||||||||
\(626\) | −5.43443e11 | − | 2.25101e11i | −0.141439 | − | 0.0585860i | ||||
\(627\) | −2.07073e12 | + | 2.07073e12i | −0.535082 | + | 0.535082i | ||||
\(628\) | −2.98733e12 | −0.766415 | ||||||||
\(629\) | −3.20958e12 | + | 5.70264e12i | −0.817561 | + | 1.45261i | ||||
\(630\) | −5.32268e10 | −0.0134616 | ||||||||
\(631\) | 3.55051e12 | − | 3.55051e12i | 0.891578 | − | 0.891578i | −0.103094 | − | 0.994672i | \(-0.532874\pi\) |
0.994672 | + | 0.103094i | \(0.0328743\pi\) | |||||||
\(632\) | −4.35644e11 | − | 1.80450e11i | −0.108619 | − | 0.0449914i | ||||
\(633\) | − | 2.19468e12i | − | 0.543319i | ||||||
\(634\) | 1.00249e11 | − | 2.42022e11i | 0.0246421 | − | 0.0594913i | ||||
\(635\) | −1.61638e12 | + | 6.69526e11i | −0.394513 | + | 0.163413i | ||||
\(636\) | 7.04546e11 | + | 1.70092e12i | 0.170747 | + | 0.412219i | ||||
\(637\) | −4.89342e12 | − | 4.89342e12i | −1.17756 | − | 1.17756i | ||||
\(638\) | 4.90856e11 | + | 4.90856e11i | 0.117290 | + | 0.117290i | ||||
\(639\) | 2.15740e12 | + | 5.20842e12i | 0.511889 | + | 1.23581i | ||||
\(640\) | 1.03417e12 | − | 4.28366e11i | 0.243658 | − | 0.100926i | ||||
\(641\) | 1.56521e12 | − | 3.77875e12i | 0.366194 | − | 0.884070i | −0.628173 | − | 0.778074i | \(-0.716197\pi\) |
0.994367 | − | 0.105996i | \(-0.0338031\pi\) | |||||||
\(642\) | − | 1.65226e11i | − | 0.0383858i | ||||||
\(643\) | −5.77650e12 | − | 2.39270e12i | −1.33265 | − | 0.552000i | −0.401238 | − | 0.915974i | \(-0.631420\pi\) |
−0.931409 | + | 0.363974i | \(0.881420\pi\) | |||||||
\(644\) | 7.85915e11 | − | 7.85915e11i | 0.180048 | − | 0.180048i | ||||
\(645\) | 3.47268e11 | 0.0790036 | ||||||||
\(646\) | −9.16610e11 | − | 1.10465e11i | −0.207080 | − | 0.0249562i | ||||
\(647\) | 4.16798e12 | 0.935096 | 0.467548 | − | 0.883968i | \(-0.345137\pi\) | ||||
0.467548 | + | 0.883968i | \(0.345137\pi\) | |||||||
\(648\) | 5.73095e11 | − | 5.73095e11i | 0.127685 | − | 0.127685i | ||||
\(649\) | −9.27649e12 | − | 3.84245e12i | −2.05250 | − | 0.850172i | ||||
\(650\) | 8.39291e11i | 0.184418i | ||||||||
\(651\) | 8.79385e10 | − | 2.12302e11i | 0.0191895 | − | 0.0463276i | ||||
\(652\) | 2.84422e12 | − | 1.17812e12i | 0.616381 | − | 0.255313i | ||||
\(653\) | −1.33989e12 | − | 3.23479e12i | −0.288377 | − | 0.696204i | 0.711603 | − | 0.702582i | \(-0.247970\pi\) |
−0.999980 | + | 0.00637853i | \(0.997970\pi\) | |||||||
\(654\) | −2.38035e11 | − | 2.38035e11i | −0.0508793 | − | 0.0508793i | ||||
\(655\) | 1.38486e12 | + | 1.38486e12i | 0.293981 | + | 0.293981i | ||||
\(656\) | −8.17006e11 | − | 1.97243e12i | −0.172249 | − | 0.415847i | ||||
\(657\) | 2.94137e11 | − | 1.21836e11i | 0.0615893 | − | 0.0255111i | ||||
\(658\) | −9.69864e9 | + | 2.34146e10i | −0.00201695 | + | 0.00486934i | ||||
\(659\) | 4.29957e12i | 0.888056i | 0.896013 | + | 0.444028i | \(0.146451\pi\) | ||||
−0.896013 | + | 0.444028i | \(0.853549\pi\) | |||||||
\(660\) | 1.10978e12 | + | 4.59684e11i | 0.227660 | + | 0.0943000i | ||||
\(661\) | −5.33559e11 | + | 5.33559e11i | −0.108712 | + | 0.108712i | −0.759370 | − | 0.650659i | \(-0.774493\pi\) |
0.650659 | + | 0.759370i | \(0.274493\pi\) | |||||||
\(662\) | −6.63097e11 | −0.134189 | ||||||||
\(663\) | 2.63624e12 | + | 1.48374e12i | 0.529876 | + | 0.298227i | ||||
\(664\) | −1.18870e12 | −0.237310 | ||||||||
\(665\) | 5.83529e11 | − | 5.83529e11i | 0.115708 | − | 0.115708i | ||||
\(666\) | −9.60478e11 | − | 3.97843e11i | −0.189170 | − | 0.0783570i | ||||
\(667\) | 4.88844e12i | 0.956321i | ||||||||
\(668\) | 2.02430e12 | − | 4.88708e12i | 0.393351 | − | 0.949632i | ||||
\(669\) | 3.54980e11 | − | 1.47038e11i | 0.0685151 | − | 0.0283799i | ||||
\(670\) | −1.32233e9 | − | 3.19238e9i | −0.000253514 | − | 0.000612037i | ||||
\(671\) | −5.28537e9 | − | 5.28537e9i | −0.00100652 | − | 0.00100652i | ||||
\(672\) | 1.17103e11 | + | 1.17103e11i | 0.0221516 | + | 0.0221516i | ||||
\(673\) | −5.00486e11 | − | 1.20828e12i | −0.0940424 | − | 0.227038i | 0.869858 | − | 0.493303i | \(-0.164211\pi\) |
−0.963900 | + | 0.266264i | \(0.914211\pi\) | |||||||
\(674\) | 5.37093e11 | − | 2.22471e11i | 0.100249 | − | 0.0415245i | ||||
\(675\) | −1.01582e12 | + | 2.45242e12i | −0.188344 | + | 0.454702i | ||||
\(676\) | − | 1.09952e13i | − | 2.02508i | ||||||
\(677\) | −9.90637e11 | − | 4.10335e11i | −0.181245 | − | 0.0750740i | 0.290216 | − | 0.956961i | \(-0.406273\pi\) |
−0.471460 | + | 0.881887i | \(0.656273\pi\) | |||||||
\(678\) | −1.08242e11 | + | 1.08242e11i | −0.0196726 | + | 0.0196726i | ||||
\(679\) | −2.16059e12 | −0.390084 | ||||||||
\(680\) | 2.06069e11 | + | 7.36659e11i | 0.0369593 | + | 0.132122i | ||||
\(681\) | −2.01843e12 | −0.359626 | ||||||||
\(682\) | −5.32090e11 | + | 5.32090e11i | −0.0941794 | + | 0.0941794i | ||||
\(683\) | −3.69055e12 | − | 1.52868e12i | −0.648930 | − | 0.268796i | 0.0338420 | − | 0.999427i | \(-0.489226\pi\) |
−0.682772 | + | 0.730632i | \(0.739226\pi\) | |||||||
\(684\) | 7.37046e12i | 1.28748i | ||||||||
\(685\) | −2.23236e11 | + | 5.38940e11i | −0.0387398 | + | 0.0935261i | ||||
\(686\) | 3.22754e11 | − | 1.33689e11i | 0.0556433 | − | 0.0230482i | ||||
\(687\) | 1.06276e12 | + | 2.56574e12i | 0.182025 | + | 0.439447i | ||||
\(688\) | 1.79539e12 | + | 1.79539e12i | 0.305500 | + | 0.305500i | ||||
\(689\) | 9.59616e12 | + | 9.59616e12i | 1.62222 | + | 1.62222i | ||||
\(690\) | −6.44203e10 | − | 1.55524e11i | −0.0108194 | − | 0.0261203i | ||||
\(691\) | −7.53526e12 | + | 3.12121e12i | −1.25732 | + | 0.520800i | −0.909087 | − | 0.416606i | \(-0.863219\pi\) |
−0.348236 | + | 0.937407i | \(0.613219\pi\) | |||||||
\(692\) | 2.45726e12 | − | 5.93236e12i | 0.407356 | − | 0.983444i | ||||
\(693\) | − | 1.72173e12i | − | 0.283573i | ||||||
\(694\) | 1.07230e12 | + | 4.44162e11i | 0.175469 | + | 0.0726815i | ||||
\(695\) | −9.45813e11 | + | 9.45813e11i | −0.153771 | + | 0.153771i | ||||
\(696\) | −4.84000e11 | −0.0781815 | ||||||||
\(697\) | 2.86765e12 | − | 8.02182e11i | 0.460234 | − | 0.128744i | ||||
\(698\) | 1.05120e12 | 0.167623 | ||||||||
\(699\) | −1.13433e12 | + | 1.13433e12i | −0.179719 | + | 0.179719i | ||||
\(700\) | 9.58864e11 | + | 3.97174e11i | 0.150944 | + | 0.0625231i | ||||
\(701\) | 3.16374e12i | 0.494846i | 0.968908 | + | 0.247423i | \(0.0795837\pi\) | ||||
−0.968908 | + | 0.247423i | \(0.920416\pi\) | |||||||
\(702\) | −3.93057e11 | + | 9.48924e11i | −0.0610856 | + | 0.147474i | ||||
\(703\) | 1.48914e13 | − | 6.16820e12i | 2.29951 | − | 0.952488i | ||||
\(704\) | 3.22036e12 | + | 7.77464e12i | 0.494114 | + | 1.19290i | ||||
\(705\) | −1.36391e11 | − | 1.36391e11i | −0.0207939 | − | 0.0207939i | ||||
\(706\) | −4.07794e11 | − | 4.07794e11i | −0.0617760 | − | 0.0617760i | ||||
\(707\) | −2.52397e8 | − | 6.09341e8i | −3.79924e−5 | − | 9.17219e-5i | ||||
\(708\) | 3.20207e12 | − | 1.32634e12i | 0.478939 | − | 0.198383i | ||||
\(709\) | 4.77904e11 | − | 1.15376e12i | 0.0710285 | − | 0.171478i | −0.884378 | − | 0.466771i | \(-0.845417\pi\) |
0.955407 | + | 0.295293i | \(0.0954173\pi\) | |||||||
\(710\) | − | 7.13478e11i | − | 0.105370i | ||||||
\(711\) | −2.35275e12 | − | 9.74543e11i | −0.345274 | − | 0.143017i | ||||
\(712\) | 8.04145e11 | − | 8.04145e11i | 0.117267 | − | 0.117267i | ||||
\(713\) | −5.29909e12 | −0.767889 | ||||||||
\(714\) | −5.85603e10 | + | 4.59636e10i | −0.00843260 | + | 0.00661870i | ||||
\(715\) | 8.85448e12 | 1.26703 | ||||||||
\(716\) | −8.76736e12 | + | 8.76736e12i | −1.24669 | + | 1.24669i | ||||
\(717\) | −1.16940e12 | − | 4.84383e11i | −0.165245 | − | 0.0684467i | ||||
\(718\) | − | 7.55533e11i | − | 0.106095i | ||||||
\(719\) | 1.19204e12 | − | 2.87785e12i | 0.166346 | − | 0.401595i | −0.818622 | − | 0.574333i | \(-0.805261\pi\) |
0.984968 | + | 0.172738i | \(0.0552615\pi\) | |||||||
\(720\) | 2.73644e12 | − | 1.13347e12i | 0.379480 | − | 0.157186i | ||||
\(721\) | −2.66900e10 | − | 6.44355e10i | −0.00367824 | − | 0.00888007i | ||||
\(722\) | 8.86812e11 | + | 8.86812e11i | 0.121455 | + | 0.121455i | ||||
\(723\) | 1.41417e12 | + | 1.41417e12i | 0.192478 | + | 0.192478i | ||||
\(724\) | 1.72902e11 | + | 4.17421e11i | 0.0233871 | + | 0.0564613i | ||||
\(725\) | −4.21732e12 | + | 1.74687e12i | −0.566912 | + | 0.234823i | ||||
\(726\) | 1.56946e11 | − | 3.78902e11i | 0.0209670 | − | 0.0506188i | ||||
\(727\) | 1.86046e12i | 0.247010i | 0.992344 | + | 0.123505i | \(0.0394136\pi\) | ||||
−0.992344 | + | 0.123505i | \(0.960586\pi\) | |||||||
\(728\) | 7.49418e11 | + | 3.10419e11i | 0.0988856 | + | 0.0409598i | ||||
\(729\) | 1.87285e12 | − | 1.87285e12i | 0.245601 | − | 0.245601i | ||||
\(730\) | −4.02925e10 | −0.00525136 | ||||||||
\(731\) | −2.78578e12 | + | 2.18655e12i | −0.360844 | + | 0.283224i | ||||
\(732\) | 2.58010e9 | 0.000332152 | ||||||||
\(733\) | 1.69136e12 | − | 1.69136e12i | 0.216405 | − | 0.216405i | −0.590576 | − | 0.806982i | \(-0.701100\pi\) |
0.806982 | + | 0.590576i | \(0.201100\pi\) | |||||||
\(734\) | 1.34399e12 | + | 5.56701e11i | 0.170909 | + | 0.0707929i | ||||
\(735\) | 1.29613e12i | 0.163816i | ||||||||
\(736\) | 1.46145e12 | − | 3.52824e12i | 0.183583 | − | 0.443209i | ||||
\(737\) | 1.03264e11 | − | 4.27733e10i | 0.0128927 | − | 0.00534034i | ||||
\(738\) | 1.81037e11 | + | 4.37062e11i | 0.0224654 | + | 0.0542362i | ||||
\(739\) | 1.70037e12 | + | 1.70037e12i | 0.209722 | + | 0.209722i | 0.804149 | − | 0.594427i | \(-0.202621\pi\) |
−0.594427 | + | 0.804149i | \(0.702621\pi\) | |||||||
\(740\) | −4.67503e12 | − | 4.67503e12i | −0.573115 | − | 0.573115i | ||||
\(741\) | −2.85146e12 | − | 6.88404e12i | −0.347445 | − | 0.838806i | ||||
\(742\) | −3.08546e11 | + | 1.27804e11i | −0.0373682 | + | 0.0154784i | ||||
\(743\) | 5.73707e11 | − | 1.38505e12i | 0.0690622 | − | 0.166731i | −0.885580 | − | 0.464488i | \(-0.846238\pi\) |
0.954642 | + | 0.297757i | \(0.0962385\pi\) | |||||||
\(744\) | − | 5.24659e11i | − | 0.0627767i | ||||||
\(745\) | −5.60121e12 | − | 2.32010e12i | −0.666160 | − | 0.275932i | ||||
\(746\) | −1.14797e11 | + | 1.14797e11i | −0.0135708 | + | 0.0135708i | ||||
\(747\) | −6.41972e12 | −0.754351 | ||||||||
\(748\) | −1.17970e13 | + | 3.30002e12i | −1.37789 | + | 0.385443i | ||||
\(749\) | −1.50609e12 | −0.174857 | ||||||||
\(750\) | 2.58557e11 | − | 2.58557e11i | 0.0298388 | − | 0.0298388i | ||||
\(751\) | −1.12447e13 | − | 4.65771e12i | −1.28994 | − | 0.534310i | −0.370971 | − | 0.928645i | \(-0.620975\pi\) |
−0.918967 | + | 0.394335i | \(0.870975\pi\) | |||||||
\(752\) | − | 1.41030e12i | − | 0.160816i | ||||||
\(753\) | 2.04881e11 | − | 4.94625e11i | 0.0232233 | − | 0.0560659i | ||||
\(754\) | −1.63183e12 | + | 6.75924e11i | −0.183867 | + | 0.0761600i | ||||
\(755\) | −1.50002e11 | − | 3.62137e11i | −0.0168010 | − | 0.0405613i | ||||
\(756\) | 8.98112e11 | + | 8.98112e11i | 0.0999959 | + | 0.0999959i | ||||
\(757\) | 5.78313e12 | + | 5.78313e12i | 0.640076 | + | 0.640076i | 0.950574 | − | 0.310498i | \(-0.100496\pi\) |
−0.310498 | + | 0.950574i | \(0.600496\pi\) | |||||||
\(758\) | 3.47924e11 | + | 8.39963e11i | 0.0382801 | + | 0.0924163i | ||||
\(759\) | 5.03075e12 | − | 2.08380e12i | 0.550230 | − | 0.227913i | ||||
\(760\) | 7.21032e11 | − | 1.74072e12i | 0.0783959 | − | 0.189264i | ||||
\(761\) | 1.48106e12i | 0.160082i | 0.996792 | + | 0.0800410i | \(0.0255051\pi\) | ||||
−0.996792 | + | 0.0800410i | \(0.974495\pi\) | |||||||
\(762\) | −3.59159e11 | − | 1.48768e11i | −0.0385912 | − | 0.0159850i | ||||
\(763\) | −2.16977e12 | + | 2.16977e12i | −0.231768 | + | 0.231768i | ||||
\(764\) | −3.08256e12 | −0.327335 | ||||||||
\(765\) | 1.11290e12 | + | 3.97843e12i | 0.117485 | + | 0.419986i | ||||
\(766\) | 1.43867e12 | 0.150984 | ||||||||
\(767\) | 1.80652e13 | − | 1.80652e13i | 1.88479 | − | 1.88479i | ||||
\(768\) | −2.50727e12 | − | 1.03854e12i | −0.260061 | − | 0.107721i | ||||
\(769\) | − | 1.09709e13i | − | 1.13129i | −0.824650 | − | 0.565644i | \(-0.808628\pi\) | ||
0.824650 | − | 0.565644i | \(-0.191372\pi\) | |||||||
\(770\) | −8.33862e10 | + | 2.01312e11i | −0.00854842 | + | 0.0206377i | ||||
\(771\) | −2.89688e12 | + | 1.19993e12i | −0.295248 | + | 0.122296i | ||||
\(772\) | 1.83537e12 | + | 4.43097e12i | 0.185971 | + | 0.448974i | ||||
\(773\) | −6.48147e12 | − | 6.48147e12i | −0.652929 | − | 0.652929i | 0.300768 | − | 0.953697i | \(-0.402757\pi\) |
−0.953697 | + | 0.300768i | \(0.902757\pi\) | |||||||
\(774\) | −3.97834e11 | − | 3.97834e11i | −0.0398445 | − | 0.0398445i | ||||
\(775\) | −1.89362e12 | − | 4.57160e12i | −0.188553 | − | 0.455208i | ||||
\(776\) | −4.55748e12 | + | 1.88777e12i | −0.451177 | + | 0.186884i | ||||
\(777\) | 4.97364e11 | − | 1.20074e12i | 0.0489531 | − | 0.118183i | ||||
\(778\) | 1.18014e12i | 0.115485i | ||||||||
\(779\) | −6.77626e12 | − | 2.80682e12i | −0.659282 | − | 0.273084i | ||||
\(780\) | −2.16120e12 | + | 2.16120e12i | −0.209059 | + | 0.209059i | ||||
\(781\) | 2.30789e13 | 2.21965 | ||||||||
\(782\) | 1.49602e12 | + | 8.41998e11i | 0.143057 | + | 0.0805157i | ||||
\(783\) | −5.58631e12 | −0.531125 | ||||||||
\(784\) | −6.70106e12 | + | 6.70106e12i | −0.633463 | + | 0.633463i | ||||
\(785\) | 3.81033e12 | + | 1.57829e12i | 0.358137 | + | 0.148345i | ||||
\(786\) | 4.35174e11i | 0.0406688i | ||||||||
\(787\) | −4.56674e12 | + | 1.10251e13i | −0.424346 | + | 1.02446i | 0.556704 | + | 0.830711i | \(0.312066\pi\) |
−0.981051 | + | 0.193752i | \(0.937934\pi\) | |||||||
\(788\) | −4.85453e12 | + | 2.01081e12i | −0.448517 | + | 0.185782i | ||||
\(789\) | −1.06707e12 | − | 2.57613e12i | −0.0980270 | − | 0.236658i | ||||
\(790\) | 2.27896e11 | + | 2.27896e11i | 0.0208168 | + | 0.0208168i | ||||
\(791\) | 9.86658e11 | + | 9.86658e11i | 0.0896133 | + | 0.0896133i | ||||
\(792\) | −1.50432e12 | − | 3.63176e12i | −0.135856 | − | 0.327985i | ||||
\(793\) | 1.75710e10 | − | 7.27813e9i | 0.00157785 | − | 0.000653567i | ||||
\(794\) | 7.75038e11 | − | 1.87111e12i | 0.0692039 | − | 0.167073i | ||||
\(795\) | − | 2.54176e12i | − | 0.225674i | ||||||
\(796\) | 1.63848e13 | + | 6.78679e12i | 1.44654 | + | 0.599178i | ||||
\(797\) | −9.13395e12 | + | 9.13395e12i | −0.801856 | + | 0.801856i | −0.983385 | − | 0.181530i | \(-0.941895\pi\) |
0.181530 | + | 0.983385i | \(0.441895\pi\) | |||||||
\(798\) | 1.83366e11 | 0.0160069 | ||||||||
\(799\) | 1.95290e12 | + | 2.35353e11i | 0.169520 | + | 0.0204296i | ||||
\(800\) | 3.56611e12 | 0.307815 | ||||||||
\(801\) | 4.34289e12 | − | 4.34289e12i | 0.372763 | − | 0.372763i | ||||
\(802\) | −2.23852e12 | − | 9.27225e11i | −0.191063 | − | 0.0791408i | ||||
\(803\) | − | 1.30334e12i | − | 0.110621i | ||||||
\(804\) | −1.47645e10 | + | 3.56447e10i | −0.00124614 | + | 0.00300845i | ||||
\(805\) | −1.41766e12 | + | 5.87212e11i | −0.118984 | + | 0.0492849i | ||||
\(806\) | −7.32706e11 | − | 1.76891e12i | −0.0611536 | − | 0.147638i | ||||
\(807\) | −5.46654e11 | − | 5.46654e11i | −0.0453714 | − | 0.0453714i | ||||
\(808\) | −1.06480e9 | − | 1.06480e9i | −8.78853e−5 | − | 8.78853e-5i | ||||
\(809\) | 7.17158e12 | + | 1.73137e13i | 0.588636 | + | 1.42109i | 0.884807 | + | 0.465958i | \(0.154290\pi\) |
−0.296171 | + | 0.955135i | \(0.595710\pi\) | |||||||
\(810\) | −5.11790e11 | + | 2.11990e11i | −0.0417743 | + | 0.0173035i | ||||
\(811\) | −5.52408e12 | + | 1.33363e13i | −0.448401 | + | 1.08253i | 0.524521 | + | 0.851398i | \(0.324245\pi\) |
−0.972921 | + | 0.231137i | \(0.925755\pi\) | |||||||
\(812\) | 2.18418e12i | 0.176313i | ||||||||
\(813\) | 2.33244e12 | + | 9.66127e11i | 0.187242 | + | 0.0775580i | ||||
\(814\) | −3.00941e12 | + | 3.00941e12i | −0.240254 | + | 0.240254i | ||||
\(815\) | −4.25023e12 | −0.337446 | ||||||||
\(816\) | 2.03184e12 | − | 3.61008e12i | 0.160429 | − | 0.285043i | ||||
\(817\) | 8.72296e12 | 0.684959 | ||||||||
\(818\) | −2.67127e11 | + | 2.67127e11i | −0.0208607 | + | 0.0208607i | ||||
\(819\) | 4.04733e12 | + | 1.67646e12i | 0.314334 | + | 0.130201i | ||||
\(820\) | 3.00854e12i | 0.232377i | ||||||||
\(821\) | 5.22840e12 | − | 1.26225e13i | 0.401629 | − | 0.969618i | −0.585642 | − | 0.810570i | \(-0.699158\pi\) |
0.987271 | − | 0.159048i | \(-0.0508424\pi\) | |||||||
\(822\) | −1.19752e11 | + | 4.96030e10i | −0.00914871 | + | 0.00378952i | ||||
\(823\) | 1.25927e12 | + | 3.04014e12i | 0.0956795 | + | 0.230991i | 0.964472 | − | 0.264186i | \(-0.0851033\pi\) |
−0.868792 | + | 0.495177i | \(0.835103\pi\) | |||||||
\(824\) | −1.12598e11 | − | 1.12598e11i | −0.00850863 | − | 0.00850863i | ||||
\(825\) | 3.59545e12 | + | 3.59545e12i | 0.270216 | + | 0.270216i | ||||
\(826\) | 2.40596e11 | + | 5.80851e11i | 0.0179837 | + | 0.0434165i | ||||
\(827\) | 1.87456e13 | − | 7.76470e12i | 1.39356 | − | 0.577231i | 0.445488 | − | 0.895288i | \(-0.353030\pi\) |
0.948072 | + | 0.318057i | \(0.103030\pi\) | |||||||
\(828\) | 5.24460e12 | − | 1.26616e13i | 0.387771 | − | 0.936163i | ||||
\(829\) | 5.53609e12i | 0.407106i | 0.979064 | + | 0.203553i | \(0.0652489\pi\) | ||||
−0.979064 | + | 0.203553i | \(0.934751\pi\) | |||||||
\(830\) | 7.50623e11 | + | 3.10918e11i | 0.0548998 | + | 0.0227402i | ||||
\(831\) | −9.19375e11 | + | 9.19375e11i | −0.0668788 | + | 0.0668788i | ||||
\(832\) | −2.14118e13 | −1.54917 | ||||||||
\(833\) | −8.16098e12 | − | 1.03976e13i | −0.587273 | − | 0.748219i | ||||
\(834\) | −2.97210e11 | −0.0212724 | ||||||||
\(835\) | −5.16397e12 | + | 5.16397e12i | −0.367616 | + | 0.367616i | ||||
\(836\) | 2.78762e13 | + | 1.15467e13i | 1.97381 | + | 0.817580i | ||||
\(837\) | − | 6.05559e12i | − | 0.426473i | ||||||
\(838\) | 3.55026e10 | − | 8.57108e10i | 0.00248692 | − | 0.00600395i | ||||
\(839\) | 1.74176e13 | − | 7.21459e12i | 1.21355 | − | 0.502670i | 0.318198 | − | 0.948024i | \(-0.396922\pi\) |
0.895354 | + | 0.445354i | \(0.146922\pi\) | |||||||
\(840\) | −5.81394e10 | − | 1.40361e11i | −0.00402915 | − | 0.00972724i | ||||
\(841\) | 3.46525e12 | + | 3.46525e12i | 0.238865 | + | 0.238865i | ||||
\(842\) | −1.32073e12 | − | 1.32073e12i | −0.0905543 | − | 0.0905543i | ||||
\(843\) | −3.80449e11 | − | 9.18484e11i | −0.0259461 | − | 0.0626394i | ||||
\(844\) | −2.08913e13 | + | 8.65348e12i | −1.41718 | + | 0.587016i | ||||
\(845\) | −5.80909e12 | + | 1.40244e13i | −0.391970 | + | 0.946299i | ||||
\(846\) | 3.12502e11i | 0.0209743i | ||||||||
\(847\) | −3.45381e12 | − | 1.43062e12i | −0.230581 | − | 0.0955097i | ||||
\(848\) | 1.31410e13 | − | 1.31410e13i | 0.872665 | − | 0.872665i | ||||
\(849\) | 3.82377e12 | 0.252585 | ||||||||
\(850\) | −1.91802e11 | + | 1.59153e12i | −0.0126028 | + | 0.104575i | ||||
\(851\) | −2.99707e13 | −1.95891 | ||||||||
\(852\) | −5.63308e12 | + | 5.63308e12i | −0.366242 | + | 0.366242i | ||||
\(853\) | 2.32842e13 | + | 9.64464e12i | 1.50588 | + | 0.623757i | 0.974703 | − | 0.223503i | \(-0.0717493\pi\) |
0.531179 | + | 0.847260i | \(0.321749\pi\) | |||||||
\(854\) | 4.68028e8i | 3.01100e-5i | ||||||||
\(855\) | 3.89403e12 | − | 9.40101e12i | 0.249202 | − | 0.601627i | ||||
\(856\) | −3.17690e12 | + | 1.31591e12i | −0.202242 | + | 0.0837713i | ||||
\(857\) | −4.48504e12 | − | 1.08278e13i | −0.284022 | − | 0.685691i | 0.715899 | − | 0.698204i | \(-0.246017\pi\) |
−0.999922 | + | 0.0125127i | \(0.996017\pi\) | |||||||
\(858\) | 1.39120e12 | + | 1.39120e12i | 0.0876391 | + | 0.0876391i | ||||
\(859\) | −1.77434e13 | − | 1.77434e13i | −1.11190 | − | 1.11190i | −0.992893 | − | 0.119010i | \(-0.962028\pi\) |
−0.119010 | − | 0.992893i | \(-0.537972\pi\) | |||||||
\(860\) | −1.36926e12 | − | 3.30568e12i | −0.0853575 | − | 0.206071i | ||||
\(861\) | −5.46394e11 | + | 2.26324e11i | −0.0338838 | + | 0.0140351i | ||||
\(862\) | 5.80789e11 | − | 1.40215e12i | 0.0358291 | − | 0.0864990i | ||||
\(863\) | − | 3.41067e12i | − | 0.209311i | −0.994509 | − | 0.104655i | \(-0.966626\pi\) | ||
0.994509 | − | 0.104655i | \(-0.0333739\pi\) | |||||||
\(864\) | 4.03193e12 | + | 1.67008e12i | 0.246151 | + | 0.101959i | ||||
\(865\) | −6.26847e12 | + | 6.26847e12i | −0.380706 | + | 0.380706i | ||||
\(866\) | −2.55508e12 | −0.154374 | ||||||||
\(867\) | 4.65996e12 | + | 3.41604e12i | 0.280089 | + | 0.205322i | ||||
\(868\) | −2.36766e12 | −0.141573 | ||||||||
\(869\) | −7.37175e12 | + | 7.37175e12i | −0.438512 | + | 0.438512i | ||||
\(870\) | 3.05630e11 | + | 1.26596e11i | 0.0180867 | + | 0.00749175i | ||||
\(871\) | 2.84395e11i | 0.0167433i | ||||||||
\(872\) | −2.68105e12 | + | 6.47263e12i | −0.157029 | + | 0.379103i | ||||
\(873\) | −2.46133e13 | + | 1.01952e13i | −1.43419 | + | 0.594059i | ||||
\(874\) | −1.61816e12 | − | 3.90659e12i | −0.0938037 | − | 0.226462i | ||||
\(875\) | −2.35683e12 | − | 2.35683e12i | −0.135923 | − | 0.135923i | ||||
\(876\) | 3.18119e11 | + | 3.18119e11i | 0.0182525 | + | 0.0182525i | ||||
\(877\) | 5.01041e12 | + | 1.20962e13i | 0.286006 | + | 0.690479i | 0.999953 | − | 0.00972069i | \(-0.00309424\pi\) |
−0.713947 | + | 0.700200i | \(0.753094\pi\) | |||||||
\(878\) | 1.97866e12 | − | 8.19588e11i | 0.112369 | − | 0.0465447i | ||||
\(879\) | 2.26090e12 | − | 5.45830e12i | 0.127741 | − | 0.308395i | ||||
\(880\) | − | 1.21254e13i | − | 0.681589i | ||||||
\(881\) | −1.06048e13 | − | 4.39266e12i | −0.593078 | − | 0.245661i | 0.0658963 | − | 0.997826i | \(-0.479009\pi\) |
−0.658974 | + | 0.752166i | \(0.729009\pi\) | |||||||
\(882\) | 1.48486e12 | − | 1.48486e12i | 0.0826186 | − | 0.0826186i | ||||
\(883\) | 2.06011e13 | 1.14042 | 0.570212 | − | 0.821497i | \(-0.306861\pi\) | ||||
0.570212 | + | 0.821497i | \(0.306861\pi\) | |||||||
\(884\) | 3.72931e12 | − | 3.09449e13i | 0.205397 | − | 1.70433i | ||||
\(885\) | −4.78498e12 | −0.262201 | ||||||||
\(886\) | 3.32892e12 | − | 3.32892e12i | 0.181489 | − | 0.181489i | ||||
\(887\) | −2.90243e13 | − | 1.20223e13i | −1.57437 | − | 0.652125i | −0.586859 | − | 0.809689i | \(-0.699636\pi\) |
−0.987509 | + | 0.157565i | \(0.949636\pi\) | |||||||
\(888\) | − | 2.96738e12i | − | 0.160145i | ||||||
\(889\) | −1.35607e12 | + | 3.27385e12i | −0.0728156 | + | 0.175792i | ||||
\(890\) | −7.18124e11 | + | 2.97457e11i | −0.0383658 | + | 0.0158916i | ||||
\(891\) | −6.85725e12 | − | 1.65549e13i | −0.364502 | − | 0.879987i | ||||
\(892\) | −2.79932e12 | − | 2.79932e12i | −0.148051 | − | 0.148051i | ||||
\(893\) | −3.42598e12 | − | 3.42598e12i | −0.180282 | − | 0.180282i | ||||
\(894\) | −5.15524e11 | − | 1.24458e12i | −0.0269917 | − | 0.0651637i | ||||
\(895\) | 1.58148e13 | − | 6.55071e12i | 0.823873 | − | 0.341259i | ||||
\(896\) | 8.67620e11 | − | 2.09462e12i | 0.0449721 | − | 0.108572i | ||||
\(897\) | 1.38550e13i | 0.714563i | ||||||||
\(898\) | 3.99592e12 | + | 1.65516e12i | 0.205056 | + | 0.0849370i | ||||
\(899\) | 7.36349e12 | − | 7.36349e12i | 0.375980 | − | 0.375980i | ||||
\(900\) | 1.27975e13 | 0.650179 | ||||||||
\(901\) | 1.60040e13 | + | 2.03900e13i | 0.809032 | + | 1.03075i | ||||
\(902\) | 1.93665e12 | 0.0974142 | ||||||||
\(903\) | 4.97354e11 | − | 4.97354e11i | 0.0248926 | − | 0.0248926i | ||||
\(904\) | 2.94330e12 | + | 1.21915e12i | 0.146581 | + | 0.0607157i | ||||
\(905\) | − | 6.23770e11i | − | 0.0309105i | ||||||
\(906\) | 3.33304e10 | − | 8.04666e10i | 0.00164347 | − | 0.00396770i | ||||
\(907\) | −2.40597e13 | + | 9.96587e12i | −1.18048 | + | 0.488970i | −0.884643 | − | 0.466269i | \(-0.845598\pi\) |
−0.295835 | + | 0.955239i | \(0.595598\pi\) | |||||||
\(908\) | 7.95853e12 | + | 1.92136e13i | 0.388549 | + | 0.938041i | ||||
\(909\) | −5.75059e9 | − | 5.75059e9i | −0.000279367 | − | 0.000279367i | ||||
\(910\) | −3.92039e11 | − | 3.92039e11i | −0.0189515 | − | 0.0189515i | ||||
\(911\) | −5.23243e12 | − | 1.26322e13i | −0.251693 | − | 0.607640i | 0.746648 | − | 0.665219i | \(-0.231662\pi\) |
−0.998341 | + | 0.0575789i | \(0.981662\pi\) | |||||||
\(912\) | −9.42703e12 | + | 3.90481e12i | −0.451230 | + | 0.186906i | ||||
\(913\) | −1.00573e13 | + | 2.42804e13i | −0.479029 | + | 1.15648i | ||||
\(914\) | 2.46463e12i | 0.116814i | ||||||||
\(915\) | −3.29092e9 | − | 1.36314e9i | −0.000155211 | − | 6.42905e-5i | ||||
\(916\) | 2.02330e13 | − | 2.02330e13i | 0.949580 | − | 0.949580i | ||||
\(917\) | 3.96675e12 | 0.185256 | ||||||||
\(918\) | −9.62202e11 | + | 1.70960e12i | −0.0447171 | + | 0.0794514i | ||||
\(919\) | −5.85920e12 | −0.270968 | −0.135484 | − | 0.990780i | \(-0.543259\pi\) | ||||
−0.135484 | + | 0.990780i | \(0.543259\pi\) | |||||||
\(920\) | −2.47730e12 | + | 2.47730e12i | −0.114007 | + | 0.114007i | ||||
\(921\) | 1.81941e12 | + | 7.53625e11i | 0.0833225 | + | 0.0345133i | ||||
\(922\) | − | 2.34092e12i | − | 0.106684i | ||||||
\(923\) | −2.24721e13 | + | 5.42524e13i | −1.01914 | + | 2.46043i | ||||
\(924\) | 2.24776e12 | − | 9.31053e11i | 0.101444 | − | 0.0420195i | ||||
\(925\) | −1.07100e13 | − | 2.58561e13i | −0.481005 | − | 1.16125i | ||||
\(926\) | −7.89453e9 | − | 7.89453e9i | −0.000352839 | − | 0.000352839i | ||||
\(927\) | −6.08103e11 | − | 6.08103e11i | −0.0270469 | − | 0.0270469i | ||||
\(928\) | 2.87197e12 | + | 6.93355e12i | 0.127120 | + | 0.306895i | ||||
\(929\) | 2.81605e13 | − | 1.16645e13i | 1.24042 | − | 0.513801i | 0.336577 | − | 0.941656i | \(-0.390731\pi\) |
0.903847 | + | 0.427855i | \(0.140731\pi\) | |||||||
\(930\) | −1.37231e11 | + | 3.31304e11i | −0.00601559 | + | 0.0145229i | ||||
\(931\) | 3.25573e13i | 1.42028i | ||||||||
\(932\) | 1.52704e13 | + | 6.32521e12i | 0.662947 | + | 0.274602i | ||||
\(933\) | 6.74931e12 | − | 6.74931e12i | 0.291603 | − | 0.291603i | ||||
\(934\) | 1.66651e12 | 0.0716550 | ||||||||
\(935\) | 1.67905e13 | + | 2.02350e12i | 0.718476 | + | 0.0865868i | ||||
\(936\) | 1.00021e13 | 0.425941 | ||||||||
\(937\) | 2.39765e13 | − | 2.39765e13i | 1.01615 | − | 1.01615i | 0.0162813 | − | 0.999867i | \(-0.494817\pi\) |
0.999867 | − | 0.0162813i | \(-0.00518274\pi\) | |||||||
\(938\) | −6.46590e9 | − | 2.67826e9i | −0.000272720 | − | 0.000112964i | ||||
\(939\) | − | 9.06742e12i | − | 0.380617i | ||||||
\(940\) | −7.60538e11 | + | 1.83610e12i | −0.0317721 | + | 0.0767045i | ||||
\(941\) | 7.27469e11 | − | 3.01328e11i | 0.0302455 | − | 0.0125281i | −0.367509 | − | 0.930020i | \(-0.619789\pi\) |
0.397755 | + | 0.917492i | \(0.369789\pi\) | |||||||
\(942\) | 3.50695e11 | + | 8.46653e11i | 0.0145111 | + | 0.0350329i | ||||
\(943\) | 9.64357e12 | + | 9.64357e12i | 0.397132 | + | 0.397132i | ||||
\(944\) | −2.47386e13 | − | 2.47386e13i | −1.01391 | − | 1.01391i | ||||
\(945\) | −6.71042e11 | − | 1.62004e12i | −0.0273720 | − | 0.0660819i | ||||
\(946\) | −2.12793e12 | + | 8.81416e11i | −0.0863866 | + | 0.0357825i | ||||
\(947\) | −1.23301e13 | + | 2.97675e13i | −0.498186 | + | 1.20273i | 0.452274 | + | 0.891879i | \(0.350613\pi\) |
−0.950460 | + | 0.310848i | \(0.899387\pi\) | |||||||
\(948\) | − | 3.59859e12i | − | 0.144709i | ||||||
\(949\) | 3.06382e12 | + | 1.26908e12i | 0.122621 | + | 0.0507913i | ||||
\(950\) | 2.79202e12 | − | 2.79202e12i | 0.111215 | − | 0.111215i | ||||
\(951\) | 4.03818e12 | 0.160093 | ||||||||
\(952\) | 1.35016e12 | + | 7.59904e11i | 0.0532746 | + | 0.0299842i | ||||
\(953\) | 2.73548e13 | 1.07427 | 0.537137 | − | 0.843495i | \(-0.319506\pi\) | ||||
0.537137 | + | 0.843495i | \(0.319506\pi\) | |||||||
\(954\) | −2.91186e12 | + | 2.91186e12i | −0.113816 | + | 0.113816i | ||||
\(955\) | 3.93181e12 | + | 1.62861e12i | 0.152960 | + | 0.0633580i | ||||
\(956\) | 1.30415e13i | 0.504973i | ||||||||
\(957\) | −4.09500e12 | + | 9.88621e12i | −0.157816 | + | 0.381001i | ||||
\(958\) | −3.58210e12 | + | 1.48375e12i | −0.137402 | + | 0.0569138i | ||||
\(959\) | 4.52147e11 | + | 1.09158e12i | 0.0172622 | + | 0.0416746i | ||||
\(960\) | 2.83571e12 | + | 2.83571e12i | 0.107756 | + | 0.107756i | ||||
\(961\) | −1.07136e13 | − | 1.07136e13i | −0.405209 | − | 0.405209i | ||||
\(962\) | −4.14405e12 | − | 1.00046e13i | −0.156005 | − | 0.376628i | ||||
\(963\) | −1.71573e13 | + | 7.10677e12i | −0.642879 | + | 0.266289i | ||||
\(964\) | 7.88564e12 | − | 1.90376e13i | 0.294097 | − | 0.710013i | ||||
\(965\) | − | 6.62138e12i | − | 0.245796i | ||||||
\(966\) | −3.15002e11 | − | 1.30478e11i | −0.0116390 | − | 0.00482104i | ||||
\(967\) | 1.38183e13 | − | 1.38183e13i | 0.508200 | − | 0.508200i | −0.405774 | − | 0.913973i | \(-0.632998\pi\) |
0.913973 | + | 0.405774i | \(0.132998\pi\) | |||||||
\(968\) | −8.53534e12 | −0.312451 | ||||||||
\(969\) | −3.83396e12 | − | 1.37057e13i | −0.139698 | − | 0.499395i | ||||
\(970\) | 3.37167e12 | 0.122285 | ||||||||
\(971\) | −1.14163e13 | + | 1.14163e13i | −0.412133 | + | 0.412133i | −0.882481 | − | 0.470348i | \(-0.844128\pi\) |
0.470348 | + | 0.882481i | \(0.344128\pi\) | |||||||
\(972\) | 2.21680e13 | + | 9.18228e12i | 0.796578 | + | 0.329953i | ||||
\(973\) | 2.70916e12i | 0.0969008i | ||||||||
\(974\) | 6.78489e11 | − | 1.63802e12i | 0.0241561 | − | 0.0583180i | ||||
\(975\) | −1.19529e13 | + | 4.95105e12i | −0.423596 | + | 0.175459i | ||||
\(976\) | −9.96670e9 | − | 2.40617e10i | −0.000351582 | − | 0.000848795i | ||||
\(977\) | 2.82030e13 | + | 2.82030e13i | 0.990308 | + | 0.990308i | 0.999953 | − | 0.00964515i | \(-0.00307020\pi\) |
−0.00964515 | + | 0.999953i | \(0.503070\pi\) | |||||||
\(978\) | −6.67791e11 | − | 6.67791e11i | −0.0233408 | − | 0.0233408i | ||||
\(979\) | −9.62183e12 | − | 2.32292e13i | −0.334762 | − | 0.808186i | ||||
\(980\) | 1.23380e13 | − | 5.11056e12i | 0.427294 | − | 0.176991i | ||||
\(981\) | −1.44794e13 | + | 3.49563e13i | −0.499160 | + | 1.20508i | ||||
\(982\) | 4.83532e12i | 0.165930i | ||||||||
\(983\) | −1.32905e13 | − | 5.50509e12i | −0.453993 | − | 0.188050i | 0.143956 | − | 0.989584i | \(-0.454018\pi\) |
−0.597949 | + | 0.801534i | \(0.704018\pi\) | |||||||
\(984\) | −9.54802e11 | + | 9.54802e11i | −0.0324665 | + | 0.0324665i | ||||
\(985\) | 7.25431e12 | 0.245546 | ||||||||
\(986\) | −3.24886e12 | + | 9.08820e11i | −0.109467 | + | 0.0306219i | ||||
\(987\) | −3.90675e11 | −0.0131036 | ||||||||
\(988\) | −5.42866e13 | + | 5.42866e13i | −1.81254 | + | 1.81254i | ||||
\(989\) | −1.49850e13 | − | 6.20700e12i | −0.498051 | − | 0.206300i | ||||
\(990\) | 2.68681e12i | 0.0888952i | ||||||||
\(991\) | 5.33752e12 | − | 1.28859e13i | 0.175796 | − | 0.424408i | −0.811281 | − | 0.584656i | \(-0.801229\pi\) |
0.987077 | + | 0.160248i | \(0.0512295\pi\) | |||||||
\(992\) | −7.51601e12 | + | 3.11323e12i | −0.246425 | + | 0.102073i | ||||
\(993\) | −3.91167e12 | − | 9.44361e12i | −0.127671 | − | 0.308224i | ||||
\(994\) | −1.02183e12 | − | 1.02183e12i | −0.0332003 | − | 0.0332003i | ||||
\(995\) | −1.73131e13 | − | 1.73131e13i | −0.559978 | − | 0.559978i | ||||
\(996\) | −3.47157e12 | − | 8.38112e12i | −0.111779 | − | 0.269858i | ||||
\(997\) | −3.69470e12 | + | 1.53039e12i | −0.118427 | + | 0.0490541i | −0.441110 | − | 0.897453i | \(-0.645415\pi\) |
0.322683 | + | 0.946507i | \(0.395415\pi\) | |||||||
\(998\) | 2.06720e12 | − | 4.99066e12i | 0.0659622 | − | 0.159247i | ||||
\(999\) | − | 3.42493e13i | − | 1.08795i |
(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 | 17.10.d.a.9.7 | yes | 52 | |
17.2 | even | 8 | inner | 17.10.d.a.2.7 | ✓ | 52 | |
17.6 | odd | 16 | 289.10.a.i.1.25 | 52 | |||
17.11 | odd | 16 | 289.10.a.i.1.26 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.2.7 | ✓ | 52 | 17.2 | even | 8 | inner | |
17.10.d.a.9.7 | yes | 52 | 1.1 | even | 1 | trivial | |
289.10.a.i.1.25 | 52 | 17.6 | odd | 16 | |||
289.10.a.i.1.26 | 52 | 17.11 | odd | 16 |