Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,9,Mod(3,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 9, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.3");
S:= CuspForms(chi, 9);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 9 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.f (of order \(4\), degree \(2\), 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: | \(6.51805776098\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(15\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 3.12 | ||
Character | \(\chi\) | \(=\) | 16.3 |
Dual form | 16.9.f.a.11.12 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 11.2357 | + | 11.3912i | 0.702231 | + | 0.711950i | ||||
\(3\) | 23.8972 | − | 23.8972i | 0.295028 | − | 0.295028i | −0.544035 | − | 0.839063i | \(-0.683104\pi\) |
0.839063 | + | 0.544035i | \(0.183104\pi\) | |||||||
\(4\) | −3.51862 | + | 255.976i | −0.0137446 | + | 0.999906i | ||||
\(5\) | −695.590 | + | 695.590i | −1.11294 | + | 1.11294i | −0.120194 | + | 0.992750i | \(0.538352\pi\) |
−0.992750 | + | 0.120194i | \(0.961648\pi\) | |||||||
\(6\) | 540.720 | + | 3.71617i | 0.417222 | + | 0.00286742i | ||||
\(7\) | 3167.79 | 1.31936 | 0.659681 | − | 0.751545i | \(-0.270691\pi\) | ||||
0.659681 | + | 0.751545i | \(0.270691\pi\) | |||||||
\(8\) | −2955.40 | + | 2835.98i | −0.721534 | + | 0.692379i | ||||
\(9\) | 5418.84i | 0.825917i | ||||||||
\(10\) | −15739.0 | − | 108.169i | −1.57390 | − | 0.0108169i | ||||
\(11\) | −295.121 | − | 295.121i | −0.0201571 | − | 0.0201571i | 0.696956 | − | 0.717114i | \(-0.254537\pi\) |
−0.717114 | + | 0.696956i | \(0.754537\pi\) | |||||||
\(12\) | 6033.03 | + | 6201.20i | 0.290945 | + | 0.299055i | ||||
\(13\) | −20441.3 | − | 20441.3i | −0.715706 | − | 0.715706i | 0.252017 | − | 0.967723i | \(-0.418906\pi\) |
−0.967723 | + | 0.252017i | \(0.918906\pi\) | |||||||
\(14\) | 35592.3 | + | 36084.9i | 0.926497 | + | 0.939320i | ||||
\(15\) | 33245.4i | 0.656699i | ||||||||
\(16\) | −65511.2 | − | 1801.36i | −0.999622 | − | 0.0274866i | ||||
\(17\) | 143214. | 1.71470 | 0.857352 | − | 0.514730i | \(-0.172108\pi\) | ||||
0.857352 | + | 0.514730i | \(0.172108\pi\) | |||||||
\(18\) | −61727.1 | + | 60884.4i | −0.588012 | + | 0.579984i | ||||
\(19\) | 128582. | − | 128582.i | 0.986659 | − | 0.986659i | −0.0132534 | − | 0.999912i | \(-0.504219\pi\) |
0.999912 | + | 0.0132534i | \(0.00421882\pi\) | |||||||
\(20\) | −175607. | − | 180502.i | −1.09754 | − | 1.12814i | ||||
\(21\) | 75701.5 | − | 75701.5i | 0.389249 | − | 0.389249i | ||||
\(22\) | 45.8931 | − | 6677.66i | 0.000195910 | − | 0.0285058i | ||||
\(23\) | −61807.0 | −0.220865 | −0.110432 | − | 0.993884i | \(-0.535224\pi\) | ||||
−0.110432 | + | 0.993884i | \(0.535224\pi\) | |||||||
\(24\) | −2853.84 | + | 138398.i | −0.00860171 | + | 0.417144i | ||||
\(25\) | − | 577067.i | − | 1.47729i | ||||||
\(26\) | 3178.75 | − | 462522.i | 0.00695605 | − | 1.01214i | ||||
\(27\) | 286285. | + | 286285.i | 0.538696 | + | 0.538696i | ||||
\(28\) | −11146.3 | + | 810878.i | −0.0181341 | + | 1.31924i | ||||
\(29\) | 233312. | + | 233312.i | 0.329872 | + | 0.329872i | 0.852538 | − | 0.522666i | \(-0.175062\pi\) |
−0.522666 | + | 0.852538i | \(0.675062\pi\) | |||||||
\(30\) | −378705. | + | 373535.i | −0.467537 | + | 0.461154i | ||||
\(31\) | 374476.i | 0.405487i | 0.979232 | + | 0.202744i | \(0.0649858\pi\) | ||||
−0.979232 | + | 0.202744i | \(0.935014\pi\) | |||||||
\(32\) | −715544. | − | 766491.i | −0.682396 | − | 0.730983i | ||||
\(33\) | −14105.1 | −0.0118938 | ||||||||
\(34\) | 1.60911e6 | + | 1.63138e6i | 1.20412 | + | 1.22078i | ||||
\(35\) | −2.20348e6 | + | 2.20348e6i | −1.46838 | + | 1.46838i | ||||
\(36\) | −1.38709e6 | − | 19066.9i | −0.825839 | − | 0.0113519i | ||||
\(37\) | 516796. | − | 516796.i | 0.275748 | − | 0.275748i | −0.555661 | − | 0.831409i | \(-0.687535\pi\) |
0.831409 | + | 0.555661i | \(0.187535\pi\) | |||||||
\(38\) | 2.90942e6 | + | 19995.4i | 1.39531 | + | 0.00958948i | ||||
\(39\) | −976980. | −0.422306 | ||||||||
\(40\) | 83068.3 | − | 4.02843e6i | 0.0324486 | − | 1.57361i | ||||
\(41\) | − | 1.82949e6i | − | 0.647434i | −0.946154 | − | 0.323717i | \(-0.895067\pi\) | ||
0.946154 | − | 0.323717i | \(-0.104933\pi\) | |||||||
\(42\) | 1.71289e6 | + | 11772.1i | 0.550468 | + | 0.00378316i | ||||
\(43\) | −834182. | − | 834182.i | −0.243998 | − | 0.243998i | 0.574504 | − | 0.818502i | \(-0.305195\pi\) |
−0.818502 | + | 0.574504i | \(0.805195\pi\) | |||||||
\(44\) | 76582.2 | − | 74505.3i | 0.0204323 | − | 0.0198782i | ||||
\(45\) | −3.76929e6 | − | 3.76929e6i | −0.919200 | − | 0.919200i | ||||
\(46\) | −694444. | − | 704055.i | −0.155098 | − | 0.157244i | ||||
\(47\) | 8.50247e6i | 1.74242i | 0.490907 | + | 0.871212i | \(0.336665\pi\) | ||||
−0.490907 | + | 0.871212i | \(0.663335\pi\) | |||||||
\(48\) | −1.60859e6 | + | 1.52249e6i | −0.303026 | + | 0.286807i | ||||
\(49\) | 4.27010e6 | 0.740719 | ||||||||
\(50\) | 6.57348e6 | − | 6.48374e6i | 1.05176 | − | 1.03740i | ||||
\(51\) | 3.42242e6 | − | 3.42242e6i | 0.505885 | − | 0.505885i | ||||
\(52\) | 5.30440e6 | − | 5.16055e6i | 0.725475 | − | 0.705801i | ||||
\(53\) | −3.16752e6 | + | 3.16752e6i | −0.401436 | + | 0.401436i | −0.878739 | − | 0.477303i | \(-0.841614\pi\) |
0.477303 | + | 0.878739i | \(0.341614\pi\) | |||||||
\(54\) | −44519.2 | + | 6.47774e6i | −0.00523567 | + | 0.761814i | ||||
\(55\) | 410566. | 0.0448675 | ||||||||
\(56\) | −9.36210e6 | + | 8.98380e6i | −0.951966 | + | 0.913499i | ||||
\(57\) | − | 6.14553e6i | − | 0.582183i | ||||||
\(58\) | −36281.5 | + | 5.27912e6i | −0.00320607 | + | 0.466498i | ||||
\(59\) | −9.18487e6 | − | 9.18487e6i | −0.757992 | − | 0.757992i | 0.217964 | − | 0.975957i | \(-0.430058\pi\) |
−0.975957 | + | 0.217964i | \(0.930058\pi\) | |||||||
\(60\) | −8.51001e6 | − | 116978.i | −0.656637 | − | 0.00902608i | ||||
\(61\) | −132625. | − | 132625.i | −0.00957866 | − | 0.00957866i | 0.702301 | − | 0.711880i | \(-0.252156\pi\) |
−0.711880 | + | 0.702301i | \(0.752156\pi\) | |||||||
\(62\) | −4.26573e6 | + | 4.20750e6i | −0.288687 | + | 0.284746i | ||||
\(63\) | 1.71658e7i | 1.08968i | ||||||||
\(64\) | 691615. | − | 1.67630e7i | 0.0412235 | − | 0.999150i | ||||
\(65\) | 2.84375e7 | 1.59308 | ||||||||
\(66\) | −158481. | − | 160674.i | −0.00835221 | − | 0.00846781i | ||||
\(67\) | 164015. | − | 164015.i | 0.00813926 | − | 0.00813926i | −0.703025 | − | 0.711165i | \(-0.748168\pi\) |
0.711165 | + | 0.703025i | \(0.248168\pi\) | |||||||
\(68\) | −503916. | + | 3.66593e7i | −0.0235680 | + | 1.71454i | ||||
\(69\) | −1.47702e6 | + | 1.47702e6i | −0.0651612 | + | 0.0651612i | ||||
\(70\) | −4.98580e7 | − | 342656.i | −2.07655 | − | 0.0142714i | ||||
\(71\) | 3.54013e7 | 1.39311 | 0.696555 | − | 0.717504i | \(-0.254715\pi\) | ||||
0.696555 | + | 0.717504i | \(0.254715\pi\) | |||||||
\(72\) | −1.53677e7 | − | 1.60149e7i | −0.571848 | − | 0.595928i | ||||
\(73\) | 9.75074e6i | 0.343357i | 0.985153 | + | 0.171679i | \(0.0549191\pi\) | ||||
−0.985153 | + | 0.171679i | \(0.945081\pi\) | |||||||
\(74\) | 1.16935e7 | + | 80365.0i | 0.389957 | + | 0.00268003i | ||||
\(75\) | −1.37903e7 | − | 1.37903e7i | −0.435842 | − | 0.435842i | ||||
\(76\) | 3.24615e7 | + | 3.33664e7i | 0.973004 | + | 1.00013i | ||||
\(77\) | −934880. | − | 934880.i | −0.0265946 | − | 0.0265946i | ||||
\(78\) | −1.09770e7 | − | 1.11290e7i | −0.296556 | − | 0.300661i | ||||
\(79\) | − | 4.97804e7i | − | 1.27806i | −0.769183 | − | 0.639028i | \(-0.779337\pi\) | ||
0.769183 | − | 0.639028i | \(-0.220663\pi\) | |||||||
\(80\) | 4.68220e7 | − | 4.43160e7i | 1.14312 | − | 1.08193i | ||||
\(81\) | −2.18702e7 | −0.508057 | ||||||||
\(82\) | 2.08401e7 | − | 2.05556e7i | 0.460941 | − | 0.454648i | ||||
\(83\) | 5.00207e7 | − | 5.00207e7i | 1.05399 | − | 1.05399i | 0.0555358 | − | 0.998457i | \(-0.482313\pi\) |
0.998457 | − | 0.0555358i | \(-0.0176867\pi\) | |||||||
\(84\) | 1.91114e7 | + | 1.96441e7i | 0.383862 | + | 0.394562i | ||||
\(85\) | −9.96182e7 | + | 9.96182e7i | −1.90837 | + | 1.90837i | ||||
\(86\) | 129721. | − | 1.88749e7i | 0.00237146 | − | 0.345058i | ||||
\(87\) | 1.11510e7 | 0.194643 | ||||||||
\(88\) | 1.70916e6 | + | 35243.7i | 0.0285004 | + | 0.000587693i | ||||
\(89\) | − | 3.66516e7i | − | 0.584161i | −0.956394 | − | 0.292080i | \(-0.905653\pi\) | ||
0.956394 | − | 0.292080i | \(-0.0943475\pi\) | |||||||
\(90\) | 586149. | − | 8.52874e7i | 0.00893384 | − | 1.29991i | ||||
\(91\) | −6.47537e7 | − | 6.47537e7i | −0.944276 | − | 0.944276i | ||||
\(92\) | 217475. | − | 1.58211e7i | 0.00303570 | − | 0.220844i | ||||
\(93\) | 8.94895e6 | + | 8.94895e6i | 0.119630 | + | 0.119630i | ||||
\(94\) | −9.68533e7 | + | 9.55311e7i | −1.24052 | + | 1.22358i | ||||
\(95\) | 1.78881e8i | 2.19619i | ||||||||
\(96\) | −3.54166e7 | − | 1.21749e6i | −0.416986 | − | 0.0143344i | ||||
\(97\) | 1.20777e8 | 1.36426 | 0.682128 | − | 0.731233i | \(-0.261055\pi\) | ||||
0.682128 | + | 0.731233i | \(0.261055\pi\) | |||||||
\(98\) | 4.79775e7 | + | 4.86415e7i | 0.520155 | + | 0.527354i | ||||
\(99\) | 1.59921e6 | − | 1.59921e6i | 0.0166481 | − | 0.0166481i | ||||
\(100\) | 1.47715e8 | + | 2.03048e6i | 1.47715 | + | 0.0203048i | ||||
\(101\) | −6.69104e7 | + | 6.69104e7i | −0.642996 | + | 0.642996i | −0.951291 | − | 0.308295i | \(-0.900242\pi\) |
0.308295 | + | 0.951291i | \(0.400242\pi\) | |||||||
\(102\) | 7.74386e7 | + | 532207.i | 0.715413 | + | 0.00491677i | ||||
\(103\) | −1.42395e8 | −1.26516 | −0.632582 | − | 0.774493i | \(-0.718005\pi\) | ||||
−0.632582 | + | 0.774493i | \(0.718005\pi\) | |||||||
\(104\) | 1.18383e8 | + | 2.44112e6i | 1.01195 | + | 0.0208668i | ||||
\(105\) | 1.05314e8i | 0.866424i | ||||||||
\(106\) | −7.16711e7 | − | 492569.i | −0.567702 | − | 0.00390161i | ||||
\(107\) | −2.13988e7 | − | 2.13988e7i | −0.163251 | − | 0.163251i | 0.620754 | − | 0.784005i | \(-0.286826\pi\) |
−0.784005 | + | 0.620754i | \(0.786826\pi\) | |||||||
\(108\) | −7.42894e7 | + | 7.22748e7i | −0.546050 | + | 0.531241i | ||||
\(109\) | −1.34195e8 | − | 1.34195e8i | −0.950669 | − | 0.950669i | 0.0481704 | − | 0.998839i | \(-0.484661\pi\) |
−0.998839 | + | 0.0481704i | \(0.984661\pi\) | |||||||
\(110\) | 4.61299e6 | + | 4.67684e6i | 0.0315074 | + | 0.0319434i | ||||
\(111\) | − | 2.47000e7i | − | 0.162706i | ||||||
\(112\) | −2.07526e8 | − | 5.70635e6i | −1.31886 | − | 0.0362649i | ||||
\(113\) | 4.73205e7 | 0.290226 | 0.145113 | − | 0.989415i | \(-0.453645\pi\) | ||||
0.145113 | + | 0.989415i | \(0.453645\pi\) | |||||||
\(114\) | 7.00049e7 | − | 6.90492e7i | 0.414485 | − | 0.408827i | ||||
\(115\) | 4.29923e7 | − | 4.29923e7i | 0.245810 | − | 0.245810i | ||||
\(116\) | −6.05432e7 | + | 5.89013e7i | −0.334374 | + | 0.325307i | ||||
\(117\) | 1.10768e8 | − | 1.10768e8i | 0.591114 | − | 0.591114i | ||||
\(118\) | 1.42830e6 | − | 2.07825e8i | 0.00736704 | − | 1.07194i | ||||
\(119\) | 4.53671e8 | 2.26232 | ||||||||
\(120\) | −9.42834e7 | − | 9.82536e7i | −0.454684 | − | 0.473831i | ||||
\(121\) | − | 2.14185e8i | − | 0.999187i | ||||||
\(122\) | 20624.0 | − | 3.00088e6i | 9.30964e−5 | − | 0.0135460i | ||||
\(123\) | −4.37199e7 | − | 4.37199e7i | −0.191011 | − | 0.191011i | ||||
\(124\) | −9.58568e7 | − | 1.31764e6i | −0.405449 | − | 0.00557327i | ||||
\(125\) | 1.29687e8 | + | 1.29687e8i | 0.531198 | + | 0.531198i | ||||
\(126\) | −1.95539e8 | + | 1.92869e8i | −0.775801 | + | 0.765210i | ||||
\(127\) | − | 3.31500e7i | − | 0.127429i | −0.997968 | − | 0.0637145i | \(-0.979705\pi\) | ||
0.997968 | − | 0.0637145i | \(-0.0202947\pi\) | |||||||
\(128\) | 1.98721e8 | − | 1.80465e8i | 0.740293 | − | 0.672285i | ||||
\(129\) | −3.98693e7 | −0.143973 | ||||||||
\(130\) | 3.19515e8 | + | 3.23937e8i | 1.11871 | + | 1.13419i | ||||
\(131\) | −3.21149e8 | + | 3.21149e8i | −1.09049 | + | 1.09049i | −0.0950128 | + | 0.995476i | \(0.530289\pi\) |
−0.995476 | + | 0.0950128i | \(0.969711\pi\) | |||||||
\(132\) | 49630.7 | − | 3.61057e6i | 0.000163476 | − | 0.0118927i | ||||
\(133\) | 4.07322e8 | − | 4.07322e8i | 1.30176 | − | 1.30176i | ||||
\(134\) | 3.71115e6 | + | 25505.4i | 0.0115104 | + | 7.91066e-5i | ||||
\(135\) | −3.98275e8 | −1.19908 | ||||||||
\(136\) | −4.23255e8 | + | 4.06152e8i | −1.23722 | + | 1.18722i | ||||
\(137\) | − | 3.35313e8i | − | 0.951849i | −0.879486 | − | 0.475924i | \(-0.842114\pi\) | ||
0.879486 | − | 0.475924i | \(-0.157886\pi\) | |||||||
\(138\) | −3.34203e7 | − | 229685.i | −0.0921497 | − | 0.000633311i | ||||
\(139\) | 4.80067e8 | + | 4.80067e8i | 1.28600 | + | 1.28600i | 0.937193 | + | 0.348812i | \(0.113415\pi\) |
0.348812 | + | 0.937193i | \(0.386585\pi\) | |||||||
\(140\) | −5.56285e8 | − | 5.71792e8i | −1.44806 | − | 1.48842i | ||||
\(141\) | 2.03186e8 | + | 2.03186e8i | 0.514063 | + | 0.514063i | ||||
\(142\) | 3.97758e8 | + | 4.03263e8i | 0.978284 | + | 0.991824i | ||||
\(143\) | 1.20653e7i | 0.0288532i | ||||||||
\(144\) | 9.76131e6 | − | 3.54995e8i | 0.0227017 | − | 0.825605i | ||||
\(145\) | −3.24579e8 | −0.734258 | ||||||||
\(146\) | −1.11073e8 | + | 1.09556e8i | −0.244453 | + | 0.241116i | ||||
\(147\) | 1.02044e8 | − | 1.02044e8i | 0.218533 | − | 0.218533i | ||||
\(148\) | 1.30469e8 | + | 1.34106e8i | 0.271932 | + | 0.279512i | ||||
\(149\) | −1.55412e8 | + | 1.55412e8i | −0.315312 | + | 0.315312i | −0.846963 | − | 0.531651i | \(-0.821572\pi\) |
0.531651 | + | 0.846963i | \(0.321572\pi\) | |||||||
\(150\) | 2.14448e6 | − | 3.12032e8i | 0.00423601 | − | 0.616359i | ||||
\(151\) | −3.58922e8 | −0.690387 | −0.345193 | − | 0.938532i | \(-0.612187\pi\) | ||||
−0.345193 | + | 0.938532i | \(0.612187\pi\) | |||||||
\(152\) | −1.53555e7 | + | 7.44670e8i | −0.0287666 | + | 1.39505i | ||||
\(153\) | 7.76053e8i | 1.41620i | ||||||||
\(154\) | 145380. | − | 2.11534e7i | 0.000258477 | − | 0.0376095i | ||||
\(155\) | −2.60482e8 | − | 2.60482e8i | −0.451285 | − | 0.451285i | ||||
\(156\) | 3.43763e6 | − | 2.50083e8i | 0.00580444 | − | 0.422266i | ||||
\(157\) | −5.90001e8 | − | 5.90001e8i | −0.971077 | − | 0.971077i | 0.0285160 | − | 0.999593i | \(-0.490922\pi\) |
−0.999593 | + | 0.0285160i | \(0.990922\pi\) | |||||||
\(158\) | 5.67058e8 | − | 5.59317e8i | 0.909912 | − | 0.897491i | ||||
\(159\) | 1.51390e8i | 0.236869i | ||||||||
\(160\) | 1.03089e9 | + | 3.54380e7i | 1.57301 | + | 0.0540741i | ||||
\(161\) | −1.95792e8 | −0.291401 | ||||||||
\(162\) | −2.45726e8 | − | 2.49127e8i | −0.356773 | − | 0.361711i | ||||
\(163\) | −1.82545e8 | + | 1.82545e8i | −0.258595 | + | 0.258595i | −0.824483 | − | 0.565887i | \(-0.808534\pi\) |
0.565887 | + | 0.824483i | \(0.308534\pi\) | |||||||
\(164\) | 4.68306e8 | + | 6.43730e6i | 0.647373 | + | 0.00889874i | ||||
\(165\) | 9.81140e6 | − | 9.81140e6i | 0.0132372 | − | 0.0132372i | ||||
\(166\) | 1.13181e9 | + | 7.77854e6i | 1.49054 | + | 0.0102439i | ||||
\(167\) | −2.64912e8 | −0.340593 | −0.170296 | − | 0.985393i | \(-0.554473\pi\) | ||||
−0.170296 | + | 0.985393i | \(0.554473\pi\) | |||||||
\(168\) | −9.04037e6 | + | 4.38417e8i | −0.0113488 | + | 0.550364i | ||||
\(169\) | 1.99605e7i | 0.0244695i | ||||||||
\(170\) | −2.25405e9 | − | 1.54913e7i | −2.69878 | − | 0.0185477i | ||||
\(171\) | 6.96768e8 | + | 6.96768e8i | 0.814899 | + | 0.814899i | ||||
\(172\) | 2.16466e8 | − | 2.10595e8i | 0.247329 | − | 0.240622i | ||||
\(173\) | 4.96669e8 | + | 4.96669e8i | 0.554476 | + | 0.554476i | 0.927729 | − | 0.373253i | \(-0.121758\pi\) |
−0.373253 | + | 0.927729i | \(0.621758\pi\) | |||||||
\(174\) | 1.25289e8 | + | 1.27024e8i | 0.136684 | + | 0.138576i | ||||
\(175\) | − | 1.82803e9i | − | 1.94908i | ||||||
\(176\) | 1.88021e7 | + | 1.98653e7i | 0.0195955 | + | 0.0207036i | ||||
\(177\) | −4.38986e8 | −0.447258 | ||||||||
\(178\) | 4.17505e8 | − | 4.11805e8i | 0.415893 | − | 0.410215i | ||||
\(179\) | −3.33878e6 | + | 3.33878e6i | −0.00325219 | + | 0.00325219i | −0.708731 | − | 0.705479i | \(-0.750732\pi\) |
0.705479 | + | 0.708731i | \(0.250732\pi\) | |||||||
\(180\) | 9.78111e8 | − | 9.51586e8i | 0.931747 | − | 0.906479i | ||||
\(181\) | 6.56966e8 | − | 6.56966e8i | 0.612108 | − | 0.612108i | −0.331387 | − | 0.943495i | \(-0.607516\pi\) |
0.943495 | + | 0.331387i | \(0.107516\pi\) | |||||||
\(182\) | 1.00696e7 | − | 1.46517e9i | 0.00917755 | − | 1.33538i | ||||
\(183\) | −6.33873e6 | −0.00565194 | ||||||||
\(184\) | 1.82665e8 | − | 1.75284e8i | 0.159361 | − | 0.152922i | ||||
\(185\) | 7.18956e8i | 0.613784i | ||||||||
\(186\) | −1.39162e6 | + | 2.02487e8i | −0.00116270 | + | 0.169178i | ||||
\(187\) | −4.22654e7 | − | 4.22654e7i | −0.0345635 | − | 0.0345635i | ||||
\(188\) | −2.17643e9 | − | 2.99170e7i | −1.74226 | − | 0.0239490i | ||||
\(189\) | 9.06892e8 | + | 9.06892e8i | 0.710736 | + | 0.710736i | ||||
\(190\) | −2.03767e9 | + | 2.00985e9i | −1.56358 | + | 1.54223i | ||||
\(191\) | − | 1.21820e9i | − | 0.915343i | −0.889121 | − | 0.457671i | \(-0.848684\pi\) | ||
0.889121 | − | 0.457671i | \(-0.151316\pi\) | |||||||
\(192\) | −3.84061e8 | − | 4.17116e8i | −0.282615 | − | 0.306939i | ||||
\(193\) | −1.88102e9 | −1.35570 | −0.677852 | − | 0.735199i | \(-0.737089\pi\) | ||||
−0.677852 | + | 0.735199i | \(0.737089\pi\) | |||||||
\(194\) | 1.35701e9 | + | 1.37579e9i | 0.958022 | + | 0.971282i | ||||
\(195\) | 6.79578e8 | − | 6.79578e8i | 0.470003 | − | 0.470003i | ||||
\(196\) | −1.50249e7 | + | 1.09304e9i | −0.0101809 | + | 0.740649i | ||||
\(197\) | −7.15815e8 | + | 7.15815e8i | −0.475265 | + | 0.475265i | −0.903614 | − | 0.428349i | \(-0.859096\pi\) |
0.428349 | + | 0.903614i | \(0.359096\pi\) | |||||||
\(198\) | 3.61852e7 | + | 248688.i | 0.0235434 | + | 0.000161806i | ||||
\(199\) | 7.60687e8 | 0.485058 | 0.242529 | − | 0.970144i | \(-0.422023\pi\) | ||||
0.242529 | + | 0.970144i | \(0.422023\pi\) | |||||||
\(200\) | 1.63655e9 | + | 1.70547e9i | 1.02284 | + | 1.06592i | ||||
\(201\) | − | 7.83903e6i | − | 0.00480262i | ||||||
\(202\) | −1.51397e9 | − | 1.04050e7i | −0.909313 | − | 0.00624937i | ||||
\(203\) | 7.39083e8 | + | 7.39083e8i | 0.435220 | + | 0.435220i | ||||
\(204\) | 8.64014e8 | + | 8.88098e8i | 0.498884 | + | 0.512791i | ||||
\(205\) | 1.27258e9 | + | 1.27258e9i | 0.720559 | + | 0.720559i | ||||
\(206\) | −1.59991e9 | − | 1.62205e9i | −0.888437 | − | 0.900733i | ||||
\(207\) | − | 3.34922e8i | − | 0.182416i | ||||||
\(208\) | 1.30231e9 | + | 1.37596e9i | 0.695763 | + | 0.735108i | ||||
\(209\) | −7.58946e7 | −0.0397764 | ||||||||
\(210\) | −1.19966e9 | + | 1.18328e9i | −0.616850 | + | 0.608430i | ||||
\(211\) | 2.66751e8 | − | 2.66751e8i | 0.134579 | − | 0.134579i | −0.636609 | − | 0.771187i | \(-0.719663\pi\) |
0.771187 | + | 0.636609i | \(0.219663\pi\) | |||||||
\(212\) | −7.99663e8 | − | 8.21954e8i | −0.395880 | − | 0.406915i | ||||
\(213\) | 8.45993e8 | − | 8.45993e8i | 0.411006 | − | 0.411006i | ||||
\(214\) | 3.32765e6 | − | 4.84188e8i | 0.00158666 | − | 0.230866i | ||||
\(215\) | 1.16050e9 | 0.543113 | ||||||||
\(216\) | −1.65799e9 | − | 3.41886e7i | −0.761670 | − | 0.0157060i | ||||
\(217\) | 1.18626e9i | 0.534985i | ||||||||
\(218\) | 2.08681e7 | − | 3.03641e9i | 0.00923969 | − | 1.34442i | ||||
\(219\) | 2.33016e8 | + | 2.33016e8i | 0.101300 | + | 0.101300i | ||||
\(220\) | −1.44463e6 | + | 1.05095e8i | −0.000616687 | + | 0.0448633i | ||||
\(221\) | −2.92747e9 | − | 2.92747e9i | −1.22722 | − | 1.22722i | ||||
\(222\) | 2.81362e8 | − | 2.77521e8i | 0.115839 | − | 0.114257i | ||||
\(223\) | 8.47191e8i | 0.342580i | 0.985221 | + | 0.171290i | \(0.0547935\pi\) | ||||
−0.985221 | + | 0.171290i | \(0.945206\pi\) | |||||||
\(224\) | −2.26669e9 | − | 2.42808e9i | −0.900328 | − | 0.964431i | ||||
\(225\) | 3.12703e9 | 1.22012 | ||||||||
\(226\) | 5.31679e8 | + | 5.39037e8i | 0.203805 | + | 0.206626i | ||||
\(227\) | −2.77203e8 | + | 2.77203e8i | −0.104399 | + | 0.104399i | −0.757377 | − | 0.652978i | \(-0.773519\pi\) |
0.652978 | + | 0.757377i | \(0.273519\pi\) | |||||||
\(228\) | 1.57311e9 | + | 2.16238e7i | 0.582128 | + | 0.00800189i | ||||
\(229\) | 6.77332e8 | − | 6.77332e8i | 0.246297 | − | 0.246297i | −0.573152 | − | 0.819449i | \(-0.694279\pi\) |
0.819449 | + | 0.573152i | \(0.194279\pi\) | |||||||
\(230\) | 9.72782e8 | + | 6.68558e6i | 0.347620 | + | 0.00238906i | ||||
\(231\) | −4.46821e7 | −0.0156923 | ||||||||
\(232\) | −1.35120e9 | − | 2.78624e7i | −0.466410 | − | 0.00961760i | ||||
\(233\) | − | 1.65304e9i | − | 0.560867i | −0.959873 | − | 0.280433i | \(-0.909522\pi\) | ||
0.959873 | − | 0.280433i | \(-0.0904782\pi\) | |||||||
\(234\) | 2.50634e9 | + | 1.72251e7i | 0.835941 | + | 0.00574512i | ||||
\(235\) | −5.91424e9 | − | 5.91424e9i | −1.93922 | − | 1.93922i | ||||
\(236\) | 2.38342e9 | − | 2.31879e9i | 0.768339 | − | 0.747503i | ||||
\(237\) | −1.18962e9 | − | 1.18962e9i | −0.377062 | − | 0.377062i | ||||
\(238\) | 5.09731e9 | + | 5.16786e9i | 1.58867 | + | 1.61066i | ||||
\(239\) | 5.89940e9i | 1.80807i | 0.427455 | + | 0.904037i | \(0.359410\pi\) | ||||
−0.427455 | + | 0.904037i | \(0.640590\pi\) | |||||||
\(240\) | 5.98871e7 | − | 2.17795e9i | 0.0180505 | − | 0.656451i | ||||
\(241\) | 3.20243e9 | 0.949318 | 0.474659 | − | 0.880170i | \(-0.342571\pi\) | ||||
0.474659 | + | 0.880170i | \(0.342571\pi\) | |||||||
\(242\) | 2.43982e9 | − | 2.40651e9i | 0.711371 | − | 0.701660i | ||||
\(243\) | −2.40095e9 | + | 2.40095e9i | −0.688587 | + | 0.688587i | ||||
\(244\) | 3.44153e7 | − | 3.34820e7i | 0.00970941 | − | 0.00944610i | ||||
\(245\) | −2.97024e9 | + | 2.97024e9i | −0.824379 | + | 0.824379i | ||||
\(246\) | 6.79872e6 | − | 9.89245e8i | 0.00185646 | − | 0.270124i | ||||
\(247\) | −5.25677e9 | −1.41231 | ||||||||
\(248\) | −1.06201e9 | − | 1.10673e9i | −0.280751 | − | 0.292573i | ||||
\(249\) | − | 2.39071e9i | − | 0.621914i | ||||||
\(250\) | −2.01672e7 | + | 2.93441e9i | −0.00516279 | + | 0.751210i | ||||
\(251\) | 4.48339e9 | + | 4.48339e9i | 1.12957 | + | 1.12957i | 0.990248 | + | 0.139318i | \(0.0444911\pi\) |
0.139318 | + | 0.990248i | \(0.455509\pi\) | |||||||
\(252\) | −4.39402e9 | − | 6.03998e7i | −1.08958 | − | 0.0149773i | ||||
\(253\) | 1.82405e7 | + | 1.82405e7i | 0.00445200 | + | 0.00445200i | ||||
\(254\) | 3.77618e8 | − | 3.72463e8i | 0.0907230 | − | 0.0894845i | ||||
\(255\) | 4.76120e9i | 1.12604i | ||||||||
\(256\) | 4.28848e9 | + | 2.36019e8i | 0.998489 | + | 0.0549525i | ||||
\(257\) | −3.66793e8 | −0.0840792 | −0.0420396 | − | 0.999116i | \(-0.513386\pi\) | ||||
−0.0420396 | + | 0.999116i | \(0.513386\pi\) | |||||||
\(258\) | −4.47959e8 | − | 4.54159e8i | −0.101102 | − | 0.102501i | ||||
\(259\) | 1.63710e9 | − | 1.63710e9i | 0.363811 | − | 0.363811i | ||||
\(260\) | −1.00061e8 | + | 7.27931e9i | −0.0218963 | + | 1.59293i | ||||
\(261\) | −1.26428e9 | + | 1.26428e9i | −0.272447 | + | 0.272447i | ||||
\(262\) | −7.26660e9 | − | 4.99407e7i | −1.54215 | − | 0.0105986i | ||||
\(263\) | 4.42614e9 | 0.925129 | 0.462564 | − | 0.886586i | \(-0.346929\pi\) | ||||
0.462564 | + | 0.886586i | \(0.346929\pi\) | |||||||
\(264\) | 4.16864e7 | − | 4.00019e7i | 0.00858180 | − | 0.00823503i | ||||
\(265\) | − | 4.40659e9i | − | 0.893551i | ||||||
\(266\) | 9.21643e9 | + | 6.33411e7i | 1.84092 | + | 0.0126520i | ||||
\(267\) | −8.75871e8 | − | 8.75871e8i | −0.172344 | − | 0.172344i | ||||
\(268\) | 4.14068e7 | + | 4.25610e7i | 0.00802662 | + | 0.00825036i | ||||
\(269\) | −7.49923e8 | − | 7.49923e8i | −0.143221 | − | 0.143221i | 0.631861 | − | 0.775082i | \(-0.282291\pi\) |
−0.775082 | + | 0.631861i | \(0.782291\pi\) | |||||||
\(270\) | −4.47489e9 | − | 4.53682e9i | −0.842029 | − | 0.853683i | ||||
\(271\) | 6.15923e8i | 0.114196i | 0.998369 | + | 0.0570978i | \(0.0181847\pi\) | ||||
−0.998369 | + | 0.0570978i | \(0.981815\pi\) | |||||||
\(272\) | −9.38212e9 | − | 2.57980e8i | −1.71406 | − | 0.0471315i | ||||
\(273\) | −3.09487e9 | −0.557175 | ||||||||
\(274\) | 3.81961e9 | − | 3.76747e9i | 0.677668 | − | 0.668417i | ||||
\(275\) | −1.70304e8 | + | 1.70304e8i | −0.0297779 | + | 0.0297779i | ||||
\(276\) | −3.72883e8 | − | 3.83278e8i | −0.0642594 | − | 0.0660506i | ||||
\(277\) | −3.61003e9 | + | 3.61003e9i | −0.613186 | + | 0.613186i | −0.943775 | − | 0.330589i | \(-0.892753\pi\) |
0.330589 | + | 0.943775i | \(0.392753\pi\) | |||||||
\(278\) | −7.46534e7 | + | 1.08624e10i | −0.0124989 | + | 1.81864i | ||||
\(279\) | −2.02923e9 | −0.334899 | ||||||||
\(280\) | 2.63143e8 | − | 1.27612e10i | 0.0428114 | − | 2.07616i | ||||
\(281\) | − | 1.95702e9i | − | 0.313885i | −0.987608 | − | 0.156942i | \(-0.949836\pi\) | ||
0.987608 | − | 0.156942i | \(-0.0501637\pi\) | |||||||
\(282\) | −3.15967e7 | + | 4.59746e9i | −0.00499626 | + | 0.726978i | ||||
\(283\) | −3.38369e9 | − | 3.38369e9i | −0.527527 | − | 0.527527i | 0.392307 | − | 0.919834i | \(-0.371677\pi\) |
−0.919834 | + | 0.392307i | \(0.871677\pi\) | |||||||
\(284\) | −1.24564e8 | + | 9.06187e9i | −0.0191478 | + | 1.39298i | ||||
\(285\) | 4.27477e9 | + | 4.27477e9i | 0.647938 | + | 0.647938i | ||||
\(286\) | −1.37438e8 | + | 1.35562e8i | −0.0205420 | + | 0.0202616i | ||||
\(287\) | − | 5.79546e9i | − | 0.854201i | ||||||
\(288\) | 4.15349e9 | − | 3.87742e9i | 0.603731 | − | 0.563603i | ||||
\(289\) | 1.35344e10 | 1.94021 | ||||||||
\(290\) | −3.64687e9 | − | 3.69734e9i | −0.515618 | − | 0.522754i | ||||
\(291\) | 2.88623e9 | − | 2.88623e9i | 0.402493 | − | 0.402493i | ||||
\(292\) | −2.49595e9 | − | 3.43092e7i | −0.343325 | − | 0.00471931i | ||||
\(293\) | 7.39270e9 | − | 7.39270e9i | 1.00307 | − | 1.00307i | 0.00307783 | − | 0.999995i | \(-0.499020\pi\) |
0.999995 | − | 0.00307783i | \(-0.000979704\pi\) | |||||||
\(294\) | 2.30893e9 | + | 1.58684e7i | 0.309044 | + | 0.00212395i | ||||
\(295\) | 1.27778e10 | 1.68721 | ||||||||
\(296\) | −6.17164e7 | + | 2.99296e9i | −0.00803959 | + | 0.389883i | ||||
\(297\) | − | 1.68977e8i | − | 0.0217171i | ||||||
\(298\) | −3.51650e9 | − | 2.41676e7i | −0.445908 | − | 0.00306456i | ||||
\(299\) | 1.26341e9 | + | 1.26341e9i | 0.158074 | + | 0.158074i | ||||
\(300\) | 3.57851e9 | − | 3.48146e9i | 0.441791 | − | 0.429810i | ||||
\(301\) | −2.64251e9 | − | 2.64251e9i | −0.321922 | − | 0.321922i | ||||
\(302\) | −4.03274e9 | − | 4.08855e9i | −0.484811 | − | 0.491521i | ||||
\(303\) | 3.19795e9i | 0.379403i | ||||||||
\(304\) | −8.65521e9 | + | 8.19197e9i | −1.01341 | + | 0.959166i | ||||
\(305\) | 1.84505e8 | 0.0213210 | ||||||||
\(306\) | −8.84017e9 | + | 8.71949e9i | −1.00827 | + | 0.994502i | ||||
\(307\) | −5.14116e9 | + | 5.14116e9i | −0.578773 | + | 0.578773i | −0.934565 | − | 0.355792i | \(-0.884211\pi\) |
0.355792 | + | 0.934565i | \(0.384211\pi\) | |||||||
\(308\) | 2.42596e8 | − | 2.36017e8i | 0.0269576 | − | 0.0262265i | ||||
\(309\) | −3.40286e9 | + | 3.40286e9i | −0.373258 | + | 0.373258i | ||||
\(310\) | 4.05066e7 | − | 5.89389e9i | 0.00438610 | − | 0.638198i | ||||
\(311\) | −2.71733e9 | −0.290469 | −0.145235 | − | 0.989397i | \(-0.546394\pi\) | ||||
−0.145235 | + | 0.989397i | \(0.546394\pi\) | |||||||
\(312\) | 2.88737e9 | − | 2.77070e9i | 0.304708 | − | 0.292396i | ||||
\(313\) | 2.51178e9i | 0.261700i | 0.991402 | + | 0.130850i | \(0.0417706\pi\) | ||||
−0.991402 | + | 0.130850i | \(0.958229\pi\) | |||||||
\(314\) | 9.17488e7 | − | 1.33499e10i | 0.00943804 | − | 1.37328i | ||||
\(315\) | −1.19403e10 | − | 1.19403e10i | −1.21276 | − | 1.21276i | ||||
\(316\) | 1.27426e10 | + | 1.75159e8i | 1.27794 | + | 0.0175664i | ||||
\(317\) | −6.58549e9 | − | 6.58549e9i | −0.652156 | − | 0.652156i | 0.301356 | − | 0.953512i | \(-0.402561\pi\) |
−0.953512 | + | 0.301356i | \(0.902561\pi\) | |||||||
\(318\) | −1.72451e9 | + | 1.70097e9i | −0.168639 | + | 0.166337i | ||||
\(319\) | − | 1.37710e8i | − | 0.0132985i | ||||||
\(320\) | 1.11791e10 | + | 1.21412e10i | 1.06612 | + | 1.15788i | ||||
\(321\) | −1.02275e9 | −0.0963269 | ||||||||
\(322\) | −2.19985e9 | − | 2.23030e9i | −0.204630 | − | 0.207463i | ||||
\(323\) | 1.84148e10 | − | 1.84148e10i | 1.69183 | − | 1.69183i | ||||
\(324\) | 7.69529e7 | − | 5.59823e9i | 0.00698305 | − | 0.508009i | ||||
\(325\) | −1.17960e10 | + | 1.17960e10i | −1.05731 | + | 1.05731i | ||||
\(326\) | −4.13043e9 | − | 2.83870e7i | −0.365700 | − | 0.00251332i | ||||
\(327\) | −6.41377e9 | −0.560947 | ||||||||
\(328\) | 5.18842e9 | + | 5.40690e9i | 0.448270 | + | 0.467146i | ||||
\(329\) | 2.69341e10i | 2.29889i | ||||||||
\(330\) | 2.22001e8 | + | 1.52573e6i | 0.0187197 | + | 0.000128654i | ||||
\(331\) | 9.88763e9 | + | 9.88763e9i | 0.823721 | + | 0.823721i | 0.986640 | − | 0.162918i | \(-0.0520907\pi\) |
−0.162918 | + | 0.986640i | \(0.552091\pi\) | |||||||
\(332\) | 1.26281e10 | + | 1.29801e10i | 1.03941 | + | 1.06838i | ||||
\(333\) | 2.80043e9 | + | 2.80043e9i | 0.227745 | + | 0.227745i | ||||
\(334\) | −2.97647e9 | − | 3.01766e9i | −0.239175 | − | 0.242485i | ||||
\(335\) | 2.28175e8i | 0.0181171i | ||||||||
\(336\) | −5.09566e9 | + | 4.82293e9i | −0.399801 | + | 0.378402i | ||||
\(337\) | −1.42761e10 | −1.10685 | −0.553426 | − | 0.832898i | \(-0.686680\pi\) | ||||
−0.553426 | + | 0.832898i | \(0.686680\pi\) | |||||||
\(338\) | −2.27374e8 | + | 2.24270e8i | −0.0174211 | + | 0.0171832i | ||||
\(339\) | 1.13083e9 | − | 1.13083e9i | 0.0856246 | − | 0.0856246i | ||||
\(340\) | −2.51493e10 | − | 2.58504e10i | −1.88196 | − | 1.93442i | ||||
\(341\) | 1.10516e8 | − | 1.10516e8i | 0.00817346 | − | 0.00817346i | ||||
\(342\) | −1.08352e8 | + | 1.57657e10i | −0.00792012 | + | 1.15241i | ||||
\(343\) | −4.73491e9 | −0.342086 | ||||||||
\(344\) | 4.83107e9 | + | 9.96191e7i | 0.344993 | + | 0.00711392i | ||||
\(345\) | − | 2.05480e9i | − | 0.145042i | ||||||
\(346\) | −7.72352e7 | + | 1.12381e10i | −0.00538903 | + | 0.784129i | ||||
\(347\) | 6.45408e9 | + | 6.45408e9i | 0.445161 | + | 0.445161i | 0.893742 | − | 0.448581i | \(-0.148071\pi\) |
−0.448581 | + | 0.893742i | \(0.648071\pi\) | |||||||
\(348\) | −3.92363e7 | + | 2.85439e9i | −0.00267529 | + | 0.194624i | ||||
\(349\) | 1.58170e10 | + | 1.58170e10i | 1.06616 | + | 1.06616i | 0.997650 | + | 0.0685130i | \(0.0218255\pi\) |
0.0685130 | + | 0.997650i | \(0.478175\pi\) | |||||||
\(350\) | 2.08234e10 | − | 2.05391e10i | 1.38765 | − | 1.36871i | ||||
\(351\) | − | 1.17041e10i | − | 0.771096i | ||||||
\(352\) | −1.50354e7 | + | 4.37379e8i | −0.000979365 | + | 0.0284897i | ||||
\(353\) | −2.81679e10 | −1.81408 | −0.907039 | − | 0.421046i | \(-0.861663\pi\) | ||||
−0.907039 | + | 0.421046i | \(0.861663\pi\) | |||||||
\(354\) | −4.93231e9 | − | 5.00058e9i | −0.314078 | − | 0.318425i | ||||
\(355\) | −2.46248e10 | + | 2.46248e10i | −1.55045 | + | 1.55045i | ||||
\(356\) | 9.38191e9 | + | 1.28963e8i | 0.584106 | + | 0.00802907i | ||||
\(357\) | 1.08415e10 | − | 1.08415e10i | 0.667446 | − | 0.667446i | ||||
\(358\) | −7.55462e7 | − | 519202.i | −0.00459918 | − | 3.16085e-5i | ||||
\(359\) | −2.15720e9 | −0.129871 | −0.0649357 | − | 0.997889i | \(-0.520684\pi\) | ||||
−0.0649357 | + | 0.997889i | \(0.520684\pi\) | |||||||
\(360\) | 2.18294e10 | + | 4.50134e8i | 1.29967 | + | 0.0267998i | ||||
\(361\) | − | 1.60833e10i | − | 0.946991i | ||||||
\(362\) | 1.48651e10 | + | 1.02162e8i | 0.865632 | + | 0.00594917i | ||||
\(363\) | −5.11842e9 | − | 5.11842e9i | −0.294788 | − | 0.294788i | ||||
\(364\) | 1.68032e10 | − | 1.63475e10i | 0.957165 | − | 0.931208i | ||||
\(365\) | −6.78252e9 | − | 6.78252e9i | −0.382138 | − | 0.382138i | ||||
\(366\) | −7.12199e7 | − | 7.22057e7i | −0.00396897 | − | 0.00402390i | ||||
\(367\) | − | 2.90608e10i | − | 1.60193i | −0.598710 | − | 0.800966i | \(-0.704320\pi\) | ||
0.598710 | − | 0.800966i | \(-0.295680\pi\) | |||||||
\(368\) | 4.04905e9 | + | 1.11337e8i | 0.220781 | + | 0.00607083i | ||||
\(369\) | 9.91375e9 | 0.534727 | ||||||||
\(370\) | −8.18977e9 | + | 8.07797e9i | −0.436983 | + | 0.431018i | ||||
\(371\) | −1.00340e10 | + | 1.00340e10i | −0.529639 | + | 0.529639i | ||||
\(372\) | −2.32220e9 | + | 2.25923e9i | −0.121263 | + | 0.117974i | ||||
\(373\) | 2.00021e10 | − | 2.00021e10i | 1.03333 | − | 1.03333i | 0.0339059 | − | 0.999425i | \(-0.489205\pi\) |
0.999425 | − | 0.0339059i | \(-0.0107947\pi\) | |||||||
\(374\) | 6.57253e6 | − | 9.56333e8i | 0.000335928 | − | 0.0488791i | ||||
\(375\) | 6.19833e9 | 0.313436 | ||||||||
\(376\) | −2.41129e10 | − | 2.51282e10i | −1.20642 | − | 1.25722i | ||||
\(377\) | − | 9.53839e9i | − | 0.472182i | ||||||
\(378\) | −1.41027e8 | + | 2.05201e10i | −0.00690774 | + | 1.00511i | ||||
\(379\) | 1.32718e10 | + | 1.32718e10i | 0.643241 | + | 0.643241i | 0.951351 | − | 0.308110i | \(-0.0996964\pi\) |
−0.308110 | + | 0.951351i | \(0.599696\pi\) | |||||||
\(380\) | −4.57893e10 | − | 6.29416e8i | −2.19599 | − | 0.0301858i | ||||
\(381\) | −7.92193e8 | − | 7.92193e8i | −0.0375951 | − | 0.0375951i | ||||
\(382\) | 1.38767e10 | − | 1.36873e10i | 0.651678 | − | 0.642782i | ||||
\(383\) | 5.09072e9i | 0.236583i | 0.992979 | + | 0.118292i | \(0.0377418\pi\) | ||||
−0.992979 | + | 0.118292i | \(0.962258\pi\) | |||||||
\(384\) | 4.36264e8 | − | 9.06150e9i | 0.0200643 | − | 0.416750i | ||||
\(385\) | 1.30059e9 | 0.0591966 | ||||||||
\(386\) | −2.11346e10 | − | 2.14271e10i | −0.952016 | − | 0.965193i | ||||
\(387\) | 4.52030e9 | − | 4.52030e9i | 0.201522 | − | 0.201522i | ||||
\(388\) | −4.24967e8 | + | 3.09159e10i | −0.0187512 | + | 1.36413i | ||||
\(389\) | 7.86395e9 | − | 7.86395e9i | 0.343433 | − | 0.343433i | −0.514223 | − | 0.857656i | \(-0.671920\pi\) |
0.857656 | + | 0.514223i | \(0.171920\pi\) | |||||||
\(390\) | 1.53767e10 | + | 1.05679e8i | 0.664669 | + | 0.00456803i | ||||
\(391\) | −8.85161e9 | −0.378718 | ||||||||
\(392\) | −1.26199e10 | + | 1.21099e10i | −0.534454 | + | 0.512858i | ||||
\(393\) | 1.53491e10i | 0.643449i | ||||||||
\(394\) | −1.61967e10 | − | 1.11314e8i | −0.672110 | − | 0.00461917i | ||||
\(395\) | 3.46268e10 | + | 3.46268e10i | 1.42241 | + | 1.42241i | ||||
\(396\) | 4.03733e8 | + | 4.14987e8i | 0.0164177 | + | 0.0168754i | ||||
\(397\) | 1.90783e10 | + | 1.90783e10i | 0.768029 | + | 0.768029i | 0.977759 | − | 0.209730i | \(-0.0672585\pi\) |
−0.209730 | + | 0.977759i | \(0.567258\pi\) | |||||||
\(398\) | 8.54684e9 | + | 8.66513e9i | 0.340622 | + | 0.345337i | ||||
\(399\) | − | 1.94677e10i | − | 0.768111i | ||||||
\(400\) | −1.03951e9 | + | 3.78044e10i | −0.0406058 | + | 1.47673i | ||||
\(401\) | −1.34169e10 | −0.518891 | −0.259446 | − | 0.965758i | \(-0.583540\pi\) | ||||
−0.259446 | + | 0.965758i | \(0.583540\pi\) | |||||||
\(402\) | 8.92959e7 | − | 8.80768e7i | 0.00341922 | − | 0.00337254i | ||||
\(403\) | 7.65477e9 | − | 7.65477e9i | 0.290210 | − | 0.290210i | ||||
\(404\) | −1.68920e10 | − | 1.73629e10i | −0.634098 | − | 0.651773i | ||||
\(405\) | 1.52127e10 | − | 1.52127e10i | 0.565439 | − | 0.565439i | ||||
\(406\) | −1.14932e8 | + | 1.67232e10i | −0.00422997 | + | 0.615480i | ||||
\(407\) | −3.05034e8 | −0.0111166 | ||||||||
\(408\) | −4.08709e8 | + | 1.98205e10i | −0.0147494 | + | 0.715278i | ||||
\(409\) | 1.71881e10i | 0.614236i | 0.951671 | + | 0.307118i | \(0.0993646\pi\) | ||||
−0.951671 | + | 0.307118i | \(0.900635\pi\) | |||||||
\(410\) | −1.97894e8 | + | 2.87945e10i | −0.00700321 | + | 1.01900i | ||||
\(411\) | −8.01306e9 | − | 8.01306e9i | −0.280822 | − | 0.280822i | ||||
\(412\) | 5.01035e8 | − | 3.64498e10i | 0.0173892 | − | 1.26504i | ||||
\(413\) | −2.90957e10 | − | 2.90957e10i | −1.00007 | − | 1.00007i | ||||
\(414\) | 3.81516e9 | − | 3.76308e9i | 0.129871 | − | 0.128098i | ||||
\(415\) | 6.95879e10i | 2.34607i | ||||||||
\(416\) | −1.04141e9 | + | 3.02947e10i | −0.0347737 | + | 1.01156i | ||||
\(417\) | 2.29446e10 | 0.758814 | ||||||||
\(418\) | −8.52728e8 | − | 8.64530e8i | −0.0279322 | − | 0.0283188i | ||||
\(419\) | −1.16702e9 | + | 1.16702e9i | −0.0378638 | + | 0.0378638i | −0.725785 | − | 0.687921i | \(-0.758523\pi\) |
0.687921 | + | 0.725785i | \(0.258523\pi\) | |||||||
\(420\) | −2.69579e10 | − | 3.70562e8i | −0.866342 | − | 0.0119087i | ||||
\(421\) | −3.29147e9 | + | 3.29147e9i | −0.104776 | + | 0.104776i | −0.757551 | − | 0.652776i | \(-0.773604\pi\) |
0.652776 | + | 0.757551i | \(0.273604\pi\) | |||||||
\(422\) | 6.03574e9 | + | 4.14814e7i | 0.190318 | + | 0.00130799i | ||||
\(423\) | −4.60736e10 | −1.43910 | ||||||||
\(424\) | 3.78270e8 | − | 1.83443e10i | 0.0117041 | − | 0.567595i | ||||
\(425\) | − | 8.26439e10i | − | 2.53312i | ||||||
\(426\) | 1.91422e10 | + | 1.31557e8i | 0.581237 | + | 0.00399463i | ||||
\(427\) | −4.20127e8 | − | 4.20127e8i | −0.0126377 | − | 0.0126377i | ||||
\(428\) | 5.55287e9 | − | 5.40228e9i | 0.165479 | − | 0.160991i | ||||
\(429\) | 2.88327e8 | + | 2.88327e8i | 0.00851248 | + | 0.00851248i | ||||
\(430\) | 1.30390e10 | + | 1.32195e10i | 0.381391 | + | 0.386669i | ||||
\(431\) | − | 1.20233e10i | − | 0.348429i | −0.984708 | − | 0.174214i | \(-0.944261\pi\) | ||
0.984708 | − | 0.174214i | \(-0.0557386\pi\) | |||||||
\(432\) | −1.82392e10 | − | 1.92706e10i | −0.523686 | − | 0.553300i | ||||
\(433\) | 4.36305e10 | 1.24119 | 0.620595 | − | 0.784131i | \(-0.286891\pi\) | ||||
0.620595 | + | 0.784131i | \(0.286891\pi\) | |||||||
\(434\) | −1.35129e10 | + | 1.33285e10i | −0.380882 | + | 0.375683i | ||||
\(435\) | −7.75655e9 | + | 7.75655e9i | −0.216626 | + | 0.216626i | ||||
\(436\) | 3.48228e10 | − | 3.38784e10i | 0.963645 | − | 0.937512i | ||||
\(437\) | −7.94729e9 | + | 7.94729e9i | −0.217918 | + | 0.217918i | ||||
\(438\) | −3.62354e7 | + | 5.27242e9i | −0.000984548 | + | 0.143256i | ||||
\(439\) | −6.61882e8 | −0.0178206 | −0.00891030 | − | 0.999960i | \(-0.502836\pi\) | ||||
−0.00891030 | + | 0.999960i | \(0.502836\pi\) | |||||||
\(440\) | −1.21339e9 | + | 1.16436e9i | −0.0323735 | + | 0.0310653i | ||||
\(441\) | 2.31390e10i | 0.611772i | ||||||||
\(442\) | 4.55241e8 | − | 6.62396e10i | 0.0119276 | − | 1.73552i | ||||
\(443\) | −4.04686e10 | − | 4.04686e10i | −1.05076 | − | 1.05076i | −0.998641 | − | 0.0521171i | \(-0.983403\pi\) |
−0.0521171 | − | 0.998641i | \(-0.516597\pi\) | |||||||
\(444\) | 6.32260e9 | + | 8.69099e7i | 0.162691 | + | 0.00223634i | ||||
\(445\) | 2.54945e10 | + | 2.54945e10i | 0.650138 | + | 0.650138i | ||||
\(446\) | −9.65052e9 | + | 9.51878e9i | −0.243900 | + | 0.240570i | ||||
\(447\) | 7.42786e9i | 0.186052i | ||||||||
\(448\) | 2.19089e9 | − | 5.31015e10i | 0.0543887 | − | 1.31824i | ||||
\(449\) | −7.08087e10 | −1.74221 | −0.871107 | − | 0.491093i | \(-0.836597\pi\) | ||||
−0.871107 | + | 0.491093i | \(0.836597\pi\) | |||||||
\(450\) | 3.51344e10 | + | 3.56207e10i | 0.856806 | + | 0.868664i | ||||
\(451\) | −5.39922e8 | + | 5.39922e8i | −0.0130504 | + | 0.0130504i | ||||
\(452\) | −1.66503e8 | + | 1.21129e10i | −0.00398904 | + | 0.290198i | ||||
\(453\) | −8.57725e9 | + | 8.57725e9i | −0.203683 | + | 0.203683i | ||||
\(454\) | −6.27224e9 | − | 4.31068e7i | −0.147638 | − | 0.00101467i | ||||
\(455\) | 9.00840e10 | 2.10185 | ||||||||
\(456\) | 1.74286e10 | + | 1.81625e10i | 0.403091 | + | 0.420065i | ||||
\(457\) | 7.55905e10i | 1.73301i | 0.499164 | + | 0.866507i | \(0.333640\pi\) | ||||
−0.499164 | + | 0.866507i | \(0.666360\pi\) | |||||||
\(458\) | 1.53259e10 | + | 1.05329e8i | 0.348309 | + | 0.00239380i | ||||
\(459\) | 4.10000e10 | + | 4.10000e10i | 0.923705 | + | 0.923705i | ||||
\(460\) | 1.08537e10 | + | 1.11563e10i | 0.242408 | + | 0.249165i | ||||
\(461\) | −3.00010e10 | − | 3.00010e10i | −0.664250 | − | 0.664250i | 0.292129 | − | 0.956379i | \(-0.405636\pi\) |
−0.956379 | + | 0.292129i | \(0.905636\pi\) | |||||||
\(462\) | −5.02034e8 | − | 5.08983e8i | −0.0110196 | − | 0.0111721i | ||||
\(463\) | − | 8.11242e10i | − | 1.76533i | −0.470000 | − | 0.882666i | \(-0.655746\pi\) | ||
0.470000 | − | 0.882666i | \(-0.344254\pi\) | |||||||
\(464\) | −1.48643e10 | − | 1.57048e10i | −0.320680 | − | 0.338814i | ||||
\(465\) | −1.24496e10 | −0.266283 | ||||||||
\(466\) | 1.88301e10 | − | 1.85730e10i | 0.399309 | − | 0.393858i | ||||
\(467\) | 2.37442e9 | − | 2.37442e9i | 0.0499217 | − | 0.0499217i | −0.681705 | − | 0.731627i | \(-0.738761\pi\) |
0.731627 | + | 0.681705i | \(0.238761\pi\) | |||||||
\(468\) | 2.79642e10 | + | 2.87437e10i | 0.582933 | + | 0.599183i | ||||
\(469\) | 5.19566e8 | − | 5.19566e8i | 0.0107386 | − | 0.0107386i | ||||
\(470\) | 9.19701e8 | − | 1.33821e11i | 0.0188476 | − | 2.74241i | ||||
\(471\) | −2.81988e10 | −0.572989 | ||||||||
\(472\) | 5.31931e10 | + | 1.09687e9i | 1.07174 | + | 0.0220997i | ||||
\(473\) | 4.92369e8i | 0.00983662i | ||||||||
\(474\) | 1.84993e8 | − | 2.69173e10i | 0.00366472 | − | 0.533234i | ||||
\(475\) | −7.42006e10 | − | 7.42006e10i | −1.45758 | − | 1.45758i | ||||
\(476\) | −1.59630e9 | + | 1.16129e11i | −0.0310947 | + | 2.26210i | ||||
\(477\) | −1.71643e10 | − | 1.71643e10i | −0.331553 | − | 0.331553i | ||||
\(478\) | −6.72012e10 | + | 6.62838e10i | −1.28726 | + | 1.26968i | ||||
\(479\) | 6.65324e10i | 1.26384i | 0.775035 | + | 0.631918i | \(0.217732\pi\) | ||||
−0.775035 | + | 0.631918i | \(0.782268\pi\) | |||||||
\(480\) | 2.54823e10 | − | 2.37885e10i | 0.480036 | − | 0.448129i | ||||
\(481\) | −2.11279e10 | −0.394708 | ||||||||
\(482\) | 3.59815e10 | + | 3.64795e10i | 0.666640 | + | 0.675867i | ||||
\(483\) | −4.67888e9 | + | 4.67888e9i | −0.0859713 | + | 0.0859713i | ||||
\(484\) | 5.48261e10 | + | 7.53635e8i | 0.999093 | + | 0.0137335i | ||||
\(485\) | −8.40111e10 | + | 8.40111e10i | −1.51834 | + | 1.51834i | ||||
\(486\) | −5.43261e10 | − | 3.73364e8i | −0.973786 | − | 0.00669248i | ||||
\(487\) | 5.24988e10 | 0.933327 | 0.466663 | − | 0.884435i | \(-0.345456\pi\) | ||||
0.466663 | + | 0.884435i | \(0.345456\pi\) | |||||||
\(488\) | 7.68080e8 | + | 1.58382e7i | 0.0135434 | + | 0.000279272i | ||||
\(489\) | 8.72467e9i | 0.152586i | ||||||||
\(490\) | −6.72072e10 | − | 4.61891e8i | −1.16582 | − | 0.00801226i | ||||
\(491\) | −1.00556e10 | − | 1.00556e10i | −0.173015 | − | 0.173015i | 0.615288 | − | 0.788303i | \(-0.289040\pi\) |
−0.788303 | + | 0.615288i | \(0.789040\pi\) | |||||||
\(492\) | 1.13451e10 | − | 1.10374e10i | 0.193618 | − | 0.188368i | ||||
\(493\) | 3.34135e10 | + | 3.34135e10i | 0.565632 | + | 0.565632i | ||||
\(494\) | −5.90635e10 | − | 5.98809e10i | −0.991770 | − | 1.00550i | ||||
\(495\) | 2.22479e9i | 0.0370569i | ||||||||
\(496\) | 6.74568e8 | − | 2.45324e10i | 0.0111455 | − | 0.405334i | ||||
\(497\) | 1.12144e11 | 1.83802 | ||||||||
\(498\) | 2.72331e10 | − | 2.68613e10i | 0.442771 | − | 0.436727i | ||||
\(499\) | −1.39400e9 | + | 1.39400e9i | −0.0224834 | + | 0.0224834i | −0.718259 | − | 0.695776i | \(-0.755061\pi\) |
0.695776 | + | 0.718259i | \(0.255061\pi\) | |||||||
\(500\) | −3.36531e10 | + | 3.27404e10i | −0.538449 | + | 0.523847i | ||||
\(501\) | −6.33066e9 | + | 6.33066e9i | −0.100484 | + | 0.100484i | ||||
\(502\) | −6.97195e8 | + | 1.01445e11i | −0.0109784 | + | 1.59741i | ||||
\(503\) | −5.63295e10 | −0.879962 | −0.439981 | − | 0.898007i | \(-0.645015\pi\) | ||||
−0.439981 | + | 0.898007i | \(0.645015\pi\) | |||||||
\(504\) | −4.86818e10 | − | 5.07318e10i | −0.754474 | − | 0.786245i | ||||
\(505\) | − | 9.30845e10i | − | 1.43124i | ||||||
\(506\) | −2.83651e6 | + | 4.12726e8i | −4.32696e−5 | + | 0.00629593i | ||||
\(507\) | 4.77002e8 | + | 4.77002e8i | 0.00721918 | + | 0.00721918i | ||||
\(508\) | 8.48559e9 | + | 1.16642e8i | 0.127417 | + | 0.00175146i | ||||
\(509\) | 3.78176e10 | + | 3.78176e10i | 0.563408 | + | 0.563408i | 0.930274 | − | 0.366866i | \(-0.119569\pi\) |
−0.366866 | + | 0.930274i | \(0.619569\pi\) | |||||||
\(510\) | −5.42358e10 | + | 5.34954e10i | −0.801687 | + | 0.790743i | ||||
\(511\) | 3.08883e10i | 0.453013i | ||||||||
\(512\) | 4.54955e10 | + | 5.15027e10i | 0.662046 | + | 0.749463i | ||||
\(513\) | 7.36225e10 | 1.06302 | ||||||||
\(514\) | −4.12117e9 | − | 4.17821e9i | −0.0590430 | − | 0.0598601i | ||||
\(515\) | 9.90488e10 | − | 9.90488e10i | 1.40806 | − | 1.40806i | ||||
\(516\) | 1.40285e8 | − | 1.02056e10i | 0.00197885 | − | 0.143959i | ||||
\(517\) | 2.50925e9 | − | 2.50925e9i | 0.0351223 | − | 0.0351223i | ||||
\(518\) | 3.70425e10 | + | 2.54579e8i | 0.514495 | + | 0.00353593i | ||||
\(519\) | 2.37380e10 | 0.327172 | ||||||||
\(520\) | −8.40443e10 | + | 8.06483e10i | −1.14946 | + | 1.10302i | ||||
\(521\) | 5.45288e10i | 0.740074i | 0.929017 | + | 0.370037i | \(0.120655\pi\) | ||||
−0.929017 | + | 0.370037i | \(0.879345\pi\) | |||||||
\(522\) | −2.86067e10 | − | 1.96604e8i | −0.385289 | − | 0.00264795i | ||||
\(523\) | −3.17681e10 | − | 3.17681e10i | −0.424604 | − | 0.424604i | 0.462181 | − | 0.886786i | \(-0.347067\pi\) |
−0.886786 | + | 0.462181i | \(0.847067\pi\) | |||||||
\(524\) | −8.10763e10 | − | 8.33363e10i | −1.07540 | − | 1.10537i | ||||
\(525\) | −4.36848e10 | − | 4.36848e10i | −0.575034 | − | 0.575034i | ||||
\(526\) | 4.97307e10 | + | 5.04190e10i | 0.649654 | + | 0.658645i | ||||
\(527\) | 5.36301e10i | 0.695291i | ||||||||
\(528\) | 9.24045e8 | + | 2.54085e7i | 0.0118893 | + | 0.000326921i | ||||
\(529\) | −7.44909e10 | −0.951219 | ||||||||
\(530\) | 5.01964e10 | − | 4.95111e10i | 0.636164 | − | 0.627479i | ||||
\(531\) | 4.97714e10 | − | 4.97714e10i | 0.626039 | − | 0.626039i | ||||
\(532\) | 1.02831e11 | + | 1.05698e11i | 1.28375 | + | 1.31953i | ||||
\(533\) | −3.73972e10 | + | 3.73972e10i | −0.463373 | + | 0.463373i | ||||
\(534\) | 1.36203e8 | − | 1.98182e10i | 0.00167503 | − | 0.243725i | ||||
\(535\) | 2.97696e10 | 0.363378 | ||||||||
\(536\) | −1.95869e7 | + | 9.49876e8i | −0.000237305 | + | 0.0115082i | ||||
\(537\) | 1.59575e8i | 0.00191897i | ||||||||
\(538\) | 1.16618e8 | − | 1.69684e10i | 0.00139199 | − | 0.202541i | ||||
\(539\) | −1.26019e9 | − | 1.26019e9i | −0.0149308 | − | 0.0149308i | ||||
\(540\) | 1.40138e9 | − | 1.01949e11i | 0.0164809 | − | 1.19896i | ||||
\(541\) | −2.81164e10 | − | 2.81164e10i | −0.328224 | − | 0.328224i | 0.523687 | − | 0.851911i | \(-0.324556\pi\) |
−0.851911 | + | 0.523687i | \(0.824556\pi\) | |||||||
\(542\) | −7.01610e9 | + | 6.92032e9i | −0.0813015 | + | 0.0801916i | ||||
\(543\) | − | 3.13993e10i | − | 0.361178i | ||||||
\(544\) | −1.02476e11 | − | 1.09772e11i | −1.17011 | − | 1.25342i | ||||
\(545\) | 1.86689e11 | 2.11608 | ||||||||
\(546\) | −3.47730e10 | − | 3.52543e10i | −0.391265 | − | 0.396681i | ||||
\(547\) | 4.72086e10 | − | 4.72086e10i | 0.527317 | − | 0.527317i | −0.392454 | − | 0.919771i | \(-0.628374\pi\) |
0.919771 | + | 0.392454i | \(0.128374\pi\) | |||||||
\(548\) | 8.58320e10 | + | 1.17984e9i | 0.951759 | + | 0.0130828i | ||||
\(549\) | 7.18672e8 | − | 7.18672e8i | 0.00791118 | − | 0.00791118i | ||||
\(550\) | −3.85346e9 | − | 2.64834e7i | −0.0421114 | − | 0.000289416i | ||||
\(551\) | 5.99996e10 | 0.650941 | ||||||||
\(552\) | 1.76387e8 | − | 8.55397e9i | 0.00189981 | − | 0.0921322i | ||||
\(553\) | − | 1.57694e11i | − | 1.68622i | ||||||
\(554\) | −8.16838e10 | − | 5.61383e8i | −0.867155 | − | 0.00595964i | ||||
\(555\) | 1.71811e10 | + | 1.71811e10i | 0.181083 | + | 0.181083i | ||||
\(556\) | −1.24575e11 | + | 1.21196e11i | −1.30356 | + | 1.26821i | ||||
\(557\) | −4.42829e10 | − | 4.42829e10i | −0.460061 | − | 0.460061i | 0.438614 | − | 0.898675i | \(-0.355469\pi\) |
−0.898675 | + | 0.438614i | \(0.855469\pi\) | |||||||
\(558\) | −2.27998e10 | − | 2.31153e10i | −0.235176 | − | 0.238431i | ||||
\(559\) | 3.41035e10i | 0.349262i | ||||||||
\(560\) | 1.48322e11 | − | 1.40384e11i | 1.50818 | − | 1.42746i | ||||
\(561\) | −2.02005e9 | −0.0203944 | ||||||||
\(562\) | 2.22928e10 | − | 2.19885e10i | 0.223470 | − | 0.220419i | ||||
\(563\) | −1.27892e11 | + | 1.27892e11i | −1.27294 | + | 1.27294i | −0.328406 | + | 0.944537i | \(0.606511\pi\) |
−0.944537 | + | 0.328406i | \(0.893489\pi\) | |||||||
\(564\) | −5.27256e10 | + | 5.12957e10i | −0.521080 | + | 0.506949i | ||||
\(565\) | −3.29157e10 | + | 3.29157e10i | −0.323005 | + | 0.323005i | ||||
\(566\) | 5.26185e8 | − | 7.65623e10i | 0.00512711 | − | 0.746018i | ||||
\(567\) | −6.92801e10 | −0.670311 | ||||||||
\(568\) | −1.04625e11 | + | 1.00397e11i | −1.00518 | + | 0.964559i | ||||
\(569\) | 6.51664e10i | 0.621691i | 0.950460 | + | 0.310846i | \(0.100612\pi\) | ||||
−0.950460 | + | 0.310846i | \(0.899388\pi\) | |||||||
\(570\) | −6.64754e8 | + | 9.67247e10i | −0.00629740 | + | 0.916301i | ||||
\(571\) | −1.63001e10 | − | 1.63001e10i | −0.153337 | − | 0.153337i | 0.626270 | − | 0.779607i | \(-0.284581\pi\) |
−0.779607 | + | 0.626270i | \(0.784581\pi\) | |||||||
\(572\) | −3.08842e9 | − | 4.24532e7i | −0.0288504 | − | 0.000396576i | ||||
\(573\) | −2.91115e10 | − | 2.91115e10i | −0.270051 | − | 0.270051i | ||||
\(574\) | 6.60172e10 | − | 6.51159e10i | 0.608148 | − | 0.599846i | ||||
\(575\) | 3.56667e10i | 0.326281i | ||||||||
\(576\) | 9.08358e10 | + | 3.74775e9i | 0.825215 | + | 0.0340472i | ||||
\(577\) | −1.52954e11 | −1.37993 | −0.689965 | − | 0.723843i | \(-0.742374\pi\) | ||||
−0.689965 | + | 0.723843i | \(0.742374\pi\) | |||||||
\(578\) | 1.52069e11 | + | 1.54174e11i | 1.36248 | + | 1.38133i | ||||
\(579\) | −4.49513e10 | + | 4.49513e10i | −0.399970 | + | 0.399970i | ||||
\(580\) | 1.14207e9 | − | 8.30844e10i | 0.0100921 | − | 0.734188i | ||||
\(581\) | 1.58455e11 | − | 1.58455e11i | 1.39060 | − | 1.39060i | ||||
\(582\) | 6.53064e10 | + | 4.48827e8i | 0.569198 | + | 0.00391189i | ||||
\(583\) | 1.86960e9 | 0.0161836 | ||||||||
\(584\) | −2.76529e10 | − | 2.88174e10i | −0.237733 | − | 0.247744i | ||||
\(585\) | 1.54098e11i | 1.31575i | ||||||||
\(586\) | 1.67274e11 | + | 1.14961e9i | 1.41853 | + | 0.00974901i | ||||
\(587\) | 7.45208e10 | + | 7.45208e10i | 0.627661 | + | 0.627661i | 0.947479 | − | 0.319818i | \(-0.103622\pi\) |
−0.319818 | + | 0.947479i | \(0.603622\pi\) | |||||||
\(588\) | 2.57616e10 | + | 2.64797e10i | 0.215508 | + | 0.221516i | ||||
\(589\) | 4.81510e10 | + | 4.81510e10i | 0.400078 | + | 0.400078i | ||||
\(590\) | 1.43568e11 | + | 1.45555e11i | 1.18481 | + | 1.20121i | ||||
\(591\) | 3.42120e10i | 0.280433i | ||||||||
\(592\) | −3.47869e10 | + | 3.29250e10i | −0.283223 | + | 0.268064i | ||||
\(593\) | −1.69443e11 | −1.37027 | −0.685133 | − | 0.728418i | \(-0.740256\pi\) | ||||
−0.685133 | + | 0.728418i | \(0.740256\pi\) | |||||||
\(594\) | 1.92485e9 | − | 1.89858e9i | 0.0154615 | − | 0.0152504i | ||||
\(595\) | −3.15569e11 | + | 3.15569e11i | −2.51783 | + | 2.51783i | ||||
\(596\) | −3.92350e10 | − | 4.03287e10i | −0.310948 | − | 0.319616i | ||||
\(597\) | 1.81783e10 | − | 1.81783e10i | 0.143106 | − | 0.143106i | ||||
\(598\) | −1.96469e8 | + | 2.85871e10i | −0.00153634 | + | 0.223545i | ||||
\(599\) | −2.07574e11 | −1.61237 | −0.806185 | − | 0.591663i | \(-0.798472\pi\) | ||||
−0.806185 | + | 0.591663i | \(0.798472\pi\) | |||||||
\(600\) | 7.98650e10 | + | 1.64686e9i | 0.616242 | + | 0.0127072i | ||||
\(601\) | − | 1.88953e11i | − | 1.44829i | −0.689647 | − | 0.724146i | \(-0.742234\pi\) | ||
0.689647 | − | 0.724146i | \(-0.257766\pi\) | |||||||
\(602\) | 4.10928e8 | − | 5.97918e10i | 0.00312881 | − | 0.455256i | ||||
\(603\) | 8.88773e8 | + | 8.88773e8i | 0.00672236 | + | 0.00672236i | ||||
\(604\) | 1.26291e9 | − | 9.18754e10i | 0.00948910 | − | 0.690322i | ||||
\(605\) | 1.48985e11 | + | 1.48985e11i | 1.11204 | + | 1.11204i | ||||
\(606\) | −3.64285e10 | + | 3.59312e10i | −0.270116 | + | 0.266429i | ||||
\(607\) | − | 7.61960e10i | − | 0.561277i | −0.959813 | − | 0.280639i | \(-0.909454\pi\) | ||
0.959813 | − | 0.280639i | \(-0.0905463\pi\) | |||||||
\(608\) | −1.90564e11 | − | 6.55084e9i | −1.39452 | − | 0.0479383i | ||||
\(609\) | 3.53241e10 | 0.256804 | ||||||||
\(610\) | 2.07304e9 | + | 2.10173e9i | 0.0149723 | + | 0.0151795i | ||||
\(611\) | 1.73801e11 | − | 1.73801e11i | 1.24706 | − | 1.24706i | ||||
\(612\) | −1.98651e11 | − | 2.73064e9i | −1.41607 | − | 0.0194652i | ||||
\(613\) | 2.80322e10 | − | 2.80322e10i | 0.198525 | − | 0.198525i | −0.600842 | − | 0.799368i | \(-0.705168\pi\) |
0.799368 | + | 0.600842i | \(0.205168\pi\) | |||||||
\(614\) | −1.16329e11 | − | 7.99483e8i | −0.818489 | − | 0.00562517i | ||||
\(615\) | 6.08223e10 | 0.425170 | ||||||||
\(616\) | 5.41425e9 | + | 1.11645e8i | 0.0376024 | + | 0.000775381i | ||||
\(617\) | − | 1.36999e10i | − | 0.0945315i | −0.998882 | − | 0.0472658i | \(-0.984949\pi\) | ||
0.998882 | − | 0.0472658i | \(-0.0150508\pi\) | |||||||
\(618\) | −7.69960e10 | − | 5.29166e8i | −0.527855 | − | 0.00362775i | ||||
\(619\) | 6.45196e10 | + | 6.45196e10i | 0.439470 | + | 0.439470i | 0.891833 | − | 0.452364i | \(-0.149419\pi\) |
−0.452364 | + | 0.891833i | \(0.649419\pi\) | |||||||
\(620\) | 6.75936e10 | − | 6.57605e10i | 0.457445 | − | 0.445039i | ||||
\(621\) | −1.76944e10 | − | 1.76944e10i | −0.118979 | − | 0.118979i | ||||
\(622\) | −3.05310e10 | − | 3.09536e10i | −0.203976 | − | 0.206799i | ||||
\(623\) | − | 1.16104e11i | − | 0.770720i | ||||||
\(624\) | 6.40032e10 | + | 1.75990e9i | 0.422147 | + | 0.0116078i | ||||
\(625\) | 4.49985e10 | 0.294902 | ||||||||
\(626\) | −2.86121e10 | + | 2.82215e10i | −0.186317 | + | 0.183774i | ||||
\(627\) | −1.81367e9 | + | 1.81367e9i | −0.0117351 | + | 0.0117351i | ||||
\(628\) | 1.53102e11 | − | 1.48950e11i | 0.984333 | − | 0.957639i | ||||
\(629\) | 7.40123e10 | − | 7.40123e10i | 0.472826 | − | 0.472826i | ||||
\(630\) | 1.85680e9 | − | 2.70173e11i | 0.0117870 | − | 1.71506i | ||||
\(631\) | −1.59056e10 | −0.100331 | −0.0501653 | − | 0.998741i | \(-0.515975\pi\) | ||||
−0.0501653 | + | 0.998741i | \(0.515975\pi\) | |||||||
\(632\) | 1.41176e11 | + | 1.47121e11i | 0.884899 | + | 0.922162i | ||||
\(633\) | − | 1.27492e10i | − | 0.0794088i | ||||||
\(634\) | 1.02409e9 | − | 1.49009e11i | 0.00633839 | − | 0.922265i | ||||
\(635\) | 2.30588e10 | + | 2.30588e10i | 0.141821 | + | 0.141821i | ||||
\(636\) | −3.87522e10 | − | 5.32684e8i | −0.236847 | − | 0.00325568i | ||||
\(637\) | −8.72862e10 | − | 8.72862e10i | −0.530137 | − | 0.530137i | ||||
\(638\) | 1.56869e9 | − | 1.54727e9i | 0.00946789 | − | 0.00933864i | ||||
\(639\) | 1.91834e11i | 1.15059i | ||||||||
\(640\) | −1.26986e10 | + | 2.63758e11i | −0.0756895 | + | 1.57212i | ||||
\(641\) | −1.62329e11 | −0.961531 | −0.480765 | − | 0.876849i | \(-0.659641\pi\) | ||||
−0.480765 | + | 0.876849i | \(0.659641\pi\) | |||||||
\(642\) | −1.14912e10 | − | 1.16503e10i | −0.0676437 | − | 0.0685799i | ||||
\(643\) | 1.41233e11 | − | 1.41233e11i | 0.826215 | − | 0.826215i | −0.160776 | − | 0.986991i | \(-0.551400\pi\) |
0.986991 | + | 0.160776i | \(0.0513996\pi\) | |||||||
\(644\) | 6.88917e8 | − | 5.01179e10i | 0.00400519 | − | 0.291373i | ||||
\(645\) | 2.77327e10 | − | 2.77327e10i | 0.160234 | − | 0.160234i | ||||
\(646\) | 4.16669e11 | + | 2.86361e9i | 2.39255 | + | 0.0164431i | ||||
\(647\) | 1.50305e11 | 0.857739 | 0.428870 | − | 0.903366i | \(-0.358912\pi\) | ||||
0.428870 | + | 0.903366i | \(0.358912\pi\) | |||||||
\(648\) | 6.46352e10 | − | 6.20234e10i | 0.366580 | − | 0.351768i | ||||
\(649\) | 5.42129e9i | 0.0305579i | ||||||||
\(650\) | −2.66906e11 | − | 1.83435e9i | −1.49522 | − | 0.0102761i | ||||
\(651\) | 2.83484e10 | + | 2.83484e10i | 0.157835 | + | 0.157835i | ||||
\(652\) | −4.60849e10 | − | 4.73695e10i | −0.255017 | − | 0.262125i | ||||
\(653\) | −8.21695e10 | − | 8.21695e10i | −0.451916 | − | 0.451916i | 0.444074 | − | 0.895990i | \(-0.353533\pi\) |
−0.895990 | + | 0.444074i | \(0.853533\pi\) | |||||||
\(654\) | −7.20631e10 | − | 7.30604e10i | −0.393914 | − | 0.399366i | ||||
\(655\) | − | 4.46776e11i | − | 2.42731i | ||||||
\(656\) | −3.29559e9 | + | 1.19852e11i | −0.0177958 | + | 0.647190i | ||||
\(657\) | −5.28377e10 | −0.283585 | ||||||||
\(658\) | −3.06811e11 | + | 3.02623e11i | −1.63669 | + | 1.61435i | ||||
\(659\) | 3.54829e10 | − | 3.54829e10i | 0.188139 | − | 0.188139i | −0.606752 | − | 0.794891i | \(-0.707528\pi\) |
0.794891 | + | 0.606752i | \(0.207528\pi\) | |||||||
\(660\) | 2.47696e9 | + | 2.54600e9i | 0.0130540 | + | 0.0134179i | ||||
\(661\) | −2.89050e10 | + | 2.89050e10i | −0.151414 | + | 0.151414i | −0.778749 | − | 0.627335i | \(-0.784146\pi\) |
0.627335 | + | 0.778749i | \(0.284146\pi\) | |||||||
\(662\) | −1.53759e9 | + | 2.23726e11i | −0.00800586 | + | 1.16489i | ||||
\(663\) | −1.39917e11 | −0.724130 | ||||||||
\(664\) | −5.97354e9 | + | 2.89689e11i | −0.0307298 | + | 1.49025i | ||||
\(665\) | 5.66658e11i | 2.89758i | ||||||||
\(666\) | −4.35485e8 | + | 6.33651e10i | −0.00221348 | + | 0.322072i | ||||
\(667\) | −1.44203e10 | − | 1.44203e10i | −0.0728570 | − | 0.0728570i | ||||
\(668\) | 9.32125e8 | − | 6.78110e10i | 0.00468132 | − | 0.340561i | ||||
\(669\) | 2.02455e10 | + | 2.02455e10i | 0.101071 | + | 0.101071i | ||||
\(670\) | −2.59918e9 | + | 2.56370e9i | −0.0128985 | + | 0.0127224i | ||||
\(671\) | 7.82805e7i | 0.000386157i | ||||||||
\(672\) | −1.12192e11 | − | 3.85674e9i | −0.550156 | − | 0.0189122i | ||||
\(673\) | 1.55445e11 | 0.757736 | 0.378868 | − | 0.925451i | \(-0.376313\pi\) | ||||
0.378868 | + | 0.925451i | \(0.376313\pi\) | |||||||
\(674\) | −1.60402e11 | − | 1.62622e11i | −0.777266 | − | 0.788023i | ||||
\(675\) | 1.65206e11 | − | 1.65206e11i | 0.795811 | − | 0.795811i | ||||
\(676\) | −5.10941e9 | − | 7.02336e7i | −0.0244672 | − | 0.000336324i | ||||
\(677\) | 8.73806e10 | − | 8.73806e10i | 0.415969 | − | 0.415969i | −0.467843 | − | 0.883812i | \(-0.654969\pi\) |
0.883812 | + | 0.467843i | \(0.154969\pi\) | |||||||
\(678\) | 2.55872e10 | + | 1.75851e8i | 0.121089 | + | 0.000832198i | ||||
\(679\) | 3.82595e11 | 1.79995 | ||||||||
\(680\) | 1.18965e10 | − | 5.76927e11i | 0.0556397 | − | 2.69827i | ||||
\(681\) | 1.32488e10i | 0.0616010i | ||||||||
\(682\) | 2.50062e9 | + | 1.71859e7i | 0.0115587 | + | 7.94390e-5i | ||||
\(683\) | 1.49587e11 | + | 1.49587e11i | 0.687400 | + | 0.687400i | 0.961657 | − | 0.274256i | \(-0.0884316\pi\) |
−0.274256 | + | 0.961657i | \(0.588432\pi\) | |||||||
\(684\) | −1.80807e11 | + | 1.75904e11i | −0.826022 | + | 0.803621i | ||||
\(685\) | 2.33240e11 | + | 2.33240e11i | 1.05935 | + | 1.05935i | ||||
\(686\) | −5.32000e10 | − | 5.39363e10i | −0.240223 | − | 0.243548i | ||||
\(687\) | − | 3.23727e10i | − | 0.145329i | ||||||
\(688\) | 5.31456e10 | + | 5.61510e10i | 0.237200 | + | 0.250613i | ||||
\(689\) | 1.29496e11 | 0.574620 | ||||||||
\(690\) | 2.34066e10 | − | 2.30871e10i | 0.103262 | − | 0.101853i | ||||
\(691\) | −1.35304e11 | + | 1.35304e11i | −0.593469 | + | 0.593469i | −0.938567 | − | 0.345098i | \(-0.887846\pi\) |
0.345098 | + | 0.938567i | \(0.387846\pi\) | |||||||
\(692\) | −1.28883e11 | + | 1.25388e11i | −0.562045 | + | 0.546802i | ||||
\(693\) | 5.06597e9 | − | 5.06597e9i | 0.0219649 | − | 0.0219649i | ||||
\(694\) | −1.00365e9 | + | 1.46036e11i | −0.00432658 | + | 0.629537i | ||||
\(695\) | −6.67860e11 | −2.86250 | ||||||||
\(696\) | −3.29558e10 | + | 3.16241e10i | −0.140441 | + | 0.134766i | ||||
\(697\) | − | 2.62009e11i | − | 1.11016i | ||||||
\(698\) | −2.45965e9 | + | 3.57890e11i | −0.0103622 | + | 1.50775i | ||||
\(699\) | −3.95031e10 | − | 3.95031e10i | −0.165471 | − | 0.165471i | ||||
\(700\) | 4.67931e11 | + | 6.43214e9i | 1.94890 | + | 0.0267894i | ||||
\(701\) | −6.13294e10 | − | 6.13294e10i | −0.253978 | − | 0.253978i | 0.568621 | − | 0.822600i | \(-0.307477\pi\) |
−0.822600 | + | 0.568621i | \(0.807477\pi\) | |||||||
\(702\) | 1.33323e11 | − | 1.31503e11i | 0.548982 | − | 0.541487i | ||||
\(703\) | − | 1.32902e11i | − | 0.544138i | ||||||
\(704\) | −5.15120e9 | + | 4.74298e9i | −0.0209709 | + | 0.0193091i | ||||
\(705\) | −2.82668e11 | −1.14425 | ||||||||
\(706\) | −3.16486e11 | − | 3.20866e11i | −1.27390 | − | 1.29153i | ||||
\(707\) | −2.11958e11 | + | 2.11958e11i | −0.848345 | + | 0.848345i | ||||
\(708\) | 1.54463e9 | − | 1.12370e11i | 0.00614739 | − | 0.447215i | ||||
\(709\) | −2.97366e11 | + | 2.97366e11i | −1.17681 | + | 1.17681i | −0.196255 | + | 0.980553i | \(0.562878\pi\) |
−0.980553 | + | 0.196255i | \(0.937122\pi\) | |||||||
\(710\) | −5.57182e11 | − | 3.82931e9i | −2.19262 | − | 0.0150691i | ||||
\(711\) | 2.69752e11 | 1.05557 | ||||||||
\(712\) | 1.03943e11 | + | 1.08320e11i | 0.404460 | + | 0.421492i | ||||
\(713\) | − | 2.31452e10i | − | 0.0895578i | ||||||
\(714\) | 2.45309e11 | + | 1.68592e9i | 0.943890 | + | 0.00648701i | ||||
\(715\) | −8.39249e9 | − | 8.39249e9i | −0.0321120 | − | 0.0321120i | ||||
\(716\) | −8.42900e8 | − | 8.66395e8i | −0.00320718 | − | 0.00329658i | ||||
\(717\) | 1.40979e11 | + | 1.40979e11i | 0.533432 | + | 0.533432i | ||||
\(718\) | −2.42377e10 | − | 2.45731e10i | −0.0911996 | − | 0.0924619i | ||||
\(719\) | − | 2.39540e11i | − | 0.896317i | −0.893954 | − | 0.448158i | \(-0.852080\pi\) | ||
0.893954 | − | 0.448158i | \(-0.147920\pi\) | |||||||
\(720\) | 2.40141e11 | + | 2.53721e11i | 0.893587 | + | 0.944119i | ||||
\(721\) | −4.51079e11 | −1.66921 | ||||||||
\(722\) | 1.83208e11 | − | 1.80707e11i | 0.674210 | − | 0.665006i | ||||
\(723\) | 7.65293e10 | − | 7.65293e10i | 0.280075 | − | 0.280075i | ||||
\(724\) | 1.65856e11 | + | 1.70479e11i | 0.603637 | + | 0.620464i | ||||
\(725\) | 1.34637e11 | − | 1.34637e11i | 0.487316 | − | 0.487316i | ||||
\(726\) | 7.95947e8 | − | 1.15814e11i | 0.00286509 | − | 0.416883i | ||||
\(727\) | 3.85457e11 | 1.37987 | 0.689935 | − | 0.723871i | \(-0.257639\pi\) | ||||
0.689935 | + | 0.723871i | \(0.257639\pi\) | |||||||
\(728\) | 3.75014e11 | + | 7.73297e9i | 1.33512 | + | 0.0275309i | ||||
\(729\) | − | 2.87378e10i | − | 0.101752i | ||||||
\(730\) | 1.05472e9 | − | 1.53467e11i | 0.00371405 | − | 0.540411i | ||||
\(731\) | −1.19466e11 | − | 1.19466e11i | −0.418385 | − | 0.418385i | ||||
\(732\) | 2.23036e7 | − | 1.62256e9i | 7.76838e−5 | − | 0.00565141i | ||||
\(733\) | 1.71097e11 | + | 1.71097e11i | 0.592688 | + | 0.592688i | 0.938357 | − | 0.345669i | \(-0.112348\pi\) |
−0.345669 | + | 0.938357i | \(0.612348\pi\) | |||||||
\(734\) | 3.31038e11 | − | 3.26519e11i | 1.14049 | − | 1.12493i | ||||
\(735\) | 1.41961e11i | 0.486429i | ||||||||
\(736\) | 4.42256e10 | + | 4.73745e10i | 0.150717 | + | 0.161448i | ||||
\(737\) | −9.68085e7 | −0.000328128 | ||||||||
\(738\) | 1.11388e11 | + | 1.12929e11i | 0.375502 | + | 0.380699i | ||||
\(739\) | −1.02838e9 | + | 1.02838e9i | −0.00344807 | + | 0.00344807i | −0.708829 | − | 0.705381i | \(-0.750776\pi\) |
0.705381 | + | 0.708829i | \(0.250776\pi\) | |||||||
\(740\) | −1.84035e11 | − | 2.52974e9i | −0.613726 | − | 0.00843623i | ||||
\(741\) | −1.25622e11 | + | 1.25622e11i | −0.416672 | + | 0.416672i | ||||
\(742\) | −2.27039e11 | − | 1.56036e9i | −0.749006 | − | 0.00514764i | ||||
\(743\) | −5.54577e11 | −1.81973 | −0.909864 | − | 0.414907i | \(-0.863814\pi\) | ||||
−0.909864 | + | 0.414907i | \(0.863814\pi\) | |||||||
\(744\) | −5.18268e10 | − | 1.06869e9i | −0.169146 | − | 0.00348788i | ||||
\(745\) | − | 2.16207e11i | − | 0.701850i | ||||||
\(746\) | 4.52584e11 | + | 3.11045e9i | 1.46132 | + | 0.0100431i | ||||
\(747\) | 2.71054e11 | + | 2.71054e11i | 0.870511 | + | 0.870511i | ||||
\(748\) | 1.09676e10 | − | 1.06702e10i | 0.0350353 | − | 0.0340852i | ||||
\(749\) | −6.77870e10 | − | 6.77870e10i | −0.215387 | − | 0.215387i | ||||
\(750\) | 6.96425e10 | + | 7.06064e10i | 0.220105 | + | 0.223151i | ||||
\(751\) | 1.50943e11i | 0.474519i | 0.971446 | + | 0.237259i | \(0.0762491\pi\) | ||||
−0.971446 | + | 0.237259i | \(0.923751\pi\) | |||||||
\(752\) | 1.53161e10 | − | 5.57008e11i | 0.0478934 | − | 1.74177i | ||||
\(753\) | 2.14281e11 | 0.666506 | ||||||||
\(754\) | 1.08654e11 | − | 1.07170e11i | 0.336170 | − | 0.331581i | ||||
\(755\) | 2.49663e11 | − | 2.49663e11i | 0.768362 | − | 0.768362i | ||||
\(756\) | −2.35333e11 | + | 2.28951e11i | −0.720438 | + | 0.700900i | ||||
\(757\) | −1.83096e11 | + | 1.83096e11i | −0.557564 | + | 0.557564i | −0.928613 | − | 0.371049i | \(-0.878998\pi\) |
0.371049 | + | 0.928613i | \(0.378998\pi\) | |||||||
\(758\) | −2.06385e9 | + | 3.00300e11i | −0.00625175 | + | 0.909659i | ||||
\(759\) | 8.71796e8 | 0.00262693 | ||||||||
\(760\) | −5.07304e11 | − | 5.28667e11i | −1.52060 | − | 1.58463i | ||||
\(761\) | 2.59965e11i | 0.775133i | 0.921842 | + | 0.387566i | \(0.126684\pi\) | ||||
−0.921842 | + | 0.387566i | \(0.873316\pi\) | |||||||
\(762\) | 1.23191e8 | − | 1.79249e10i | 0.000365392 | − | 0.0531662i | ||||
\(763\) | −4.25101e11 | − | 4.25101e11i | −1.25428 | − | 1.25428i | ||||
\(764\) | 3.11829e11 | + | 4.28637e9i | 0.915256 | + | 0.0125810i | ||||
\(765\) | −5.39815e11 | − | 5.39815e11i | −1.57616 | − | 1.57616i | ||||
\(766\) | −5.79894e10 | + | 5.71977e10i | −0.168435 | + | 0.166136i | ||||
\(767\) | 3.75501e11i | 1.08500i | ||||||||
\(768\) | 1.08123e11 | − | 9.68426e10i | 0.310794 | − | 0.278369i | ||||
\(769\) | 2.77968e11 | 0.794857 | 0.397429 | − | 0.917633i | \(-0.369903\pi\) | ||||
0.397429 | + | 0.917633i | \(0.369903\pi\) | |||||||
\(770\) | 1.46130e10 | + | 1.48152e10i | 0.0415696 | + | 0.0421450i | ||||
\(771\) | −8.76534e9 | + | 8.76534e9i | −0.0248057 | + | 0.0248057i | ||||
\(772\) | 6.61861e9 | − | 4.81496e11i | 0.0186336 | − | 1.35558i | ||||
\(773\) | 1.64912e11 | − | 1.64912e11i | 0.461884 | − | 0.461884i | −0.437388 | − | 0.899273i | \(-0.644096\pi\) |
0.899273 | + | 0.437388i | \(0.144096\pi\) | |||||||
\(774\) | 1.02280e11 | + | 7.02935e8i | 0.284989 | + | 0.00195863i | ||||
\(775\) | 2.16098e11 | 0.599023 | ||||||||
\(776\) | −3.56944e11 | + | 3.42521e11i | −0.984358 | + | 0.944582i | ||||
\(777\) | − | 7.82444e10i | − | 0.214669i | ||||||
\(778\) | 1.77937e11 | + | 1.22289e9i | 0.485677 | + | 0.00333788i | ||||
\(779\) | −2.35241e11 | − | 2.35241e11i | −0.638797 | − | 0.638797i | ||||
\(780\) | 1.71564e11 | + | 1.76347e11i | 0.463499 | + | 0.476419i | ||||
\(781\) | −1.04476e10 | − | 1.04476e10i | −0.0280811 | − | 0.0280811i | ||||
\(782\) | −9.94540e10 | − | 1.00830e11i | −0.265947 | − | 0.269628i | ||||
\(783\) | 1.33588e11i | 0.355401i | ||||||||
\(784\) | −2.79739e11 | − | 7.69200e9i | −0.740439 | − | 0.0203599i | ||||
\(785\) | 8.20797e11 | 2.16151 | ||||||||
\(786\) | −1.74845e11 | + | 1.72458e11i | −0.458103 | + | 0.451849i | ||||
\(787\) | −4.59612e11 | + | 4.59612e11i | −1.19810 | + | 1.19810i | −0.223363 | + | 0.974735i | \(0.571704\pi\) |
−0.974735 | + | 0.223363i | \(0.928296\pi\) | |||||||
\(788\) | −1.80713e11 | − | 1.85750e11i | −0.468688 | − | 0.481752i | ||||
\(789\) | 1.05773e11 | − | 1.05773e11i | 0.272939 | − | 0.272939i | ||||
\(790\) | −5.38468e9 | + | 7.83496e11i | −0.0138246 | + | 2.01154i | ||||
\(791\) | 1.49902e11 | 0.382913 | ||||||||
\(792\) | −1.90980e8 | + | 9.26166e9i | −0.000485386 | + | 0.0235390i | ||||
\(793\) | 5.42203e9i | 0.0137110i | ||||||||
\(794\) | −2.96680e9 | + | 4.31683e11i | −0.00746459 | + | 1.08613i | ||||
\(795\) | −1.05305e11 | − | 1.05305e11i | −0.263622 | − | 0.263622i | ||||
\(796\) | −2.67657e9 | + | 1.94717e11i | −0.00666694 | + | 0.485012i | ||||
\(797\) | −3.31197e11 | − | 3.31197e11i | −0.820829 | − | 0.820829i | 0.165398 | − | 0.986227i | \(-0.447109\pi\) |
−0.986227 | + | 0.165398i | \(0.947109\pi\) | |||||||
\(798\) | 2.21761e11 | − | 2.18734e11i | 0.546857 | − | 0.539391i | ||||
\(799\) | 1.21767e12i | 2.98774i | ||||||||
\(800\) | −4.42316e11 | + | 4.12917e11i | −1.07987 | + | 1.00810i | ||||
\(801\) | 1.98609e11 | 0.482468 | ||||||||
\(802\) | −1.50749e11 | − | 1.52835e11i | −0.364381 | − | 0.369424i | ||||
\(803\) | 2.87764e9 | − | 2.87764e9i | 0.00692110 | − | 0.00692110i | ||||
\(804\) | 2.00660e9 | + | 2.75826e7i | 0.00480216 | + | 6.60101e-5i | ||||
\(805\) | 1.36191e11 | − | 1.36191e11i | 0.324313 | − | 0.324313i | ||||
\(806\) | 1.73203e11 | + | 1.19036e9i | 0.410409 | + | 0.00282059i | ||||
\(807\) | −3.58422e10 | −0.0845085 | ||||||||
\(808\) | 7.99053e9 | − | 3.87504e11i | 0.0187469 | − | 0.909141i | ||||
\(809\) | − | 4.11196e11i | − | 0.959964i | −0.877278 | − | 0.479982i | \(-0.840643\pi\) | ||
0.877278 | − | 0.479982i | \(-0.159357\pi\) | |||||||
\(810\) | 3.44216e11 | + | 2.36567e9i | 0.799632 | + | 0.00549558i | ||||
\(811\) | 4.48542e11 | + | 4.48542e11i | 1.03686 | + | 1.03686i | 0.999294 | + | 0.0375659i | \(0.0119604\pi\) |
0.0375659 | + | 0.999294i | \(0.488040\pi\) | |||||||
\(812\) | −1.91788e11 | + | 1.86587e11i | −0.441161 | + | 0.429197i | ||||
\(813\) | 1.47189e10 | + | 1.47189e10i | 0.0336908 | + | 0.0336908i | ||||
\(814\) | −3.42727e9 | − | 3.47470e9i | −0.00780639 | − | 0.00791444i | ||||
\(815\) | − | 2.53954e11i | − | 0.575604i | ||||||
\(816\) | −2.30372e11 | + | 2.18042e11i | −0.519599 | + | 0.491789i | ||||
\(817\) | −2.14522e11 | −0.481486 | ||||||||
\(818\) | −1.95793e11 | + | 1.93120e11i | −0.437305 | + | 0.431335i | ||||
\(819\) | 3.50890e11 | − | 3.50890e11i | 0.779894 | − | 0.779894i | ||||
\(820\) | −3.30227e11 | + | 3.21272e11i | −0.730394 | + | 0.710587i | ||||
\(821\) | −3.88002e11 | + | 3.88002e11i | −0.854006 | + | 0.854006i | −0.990624 | − | 0.136618i | \(-0.956377\pi\) |
0.136618 | + | 0.990624i | \(0.456377\pi\) | |||||||
\(822\) | 1.24608e9 | − | 1.81310e11i | 0.00272935 | − | 0.397133i | ||||
\(823\) | 6.43194e11 | 1.40198 | 0.700991 | − | 0.713170i | \(-0.252741\pi\) | ||||
0.700991 | + | 0.713170i | \(0.252741\pi\) | |||||||
\(824\) | 4.20836e11 | − | 4.03831e11i | 0.912859 | − | 0.875973i | ||||
\(825\) | 8.13961e9i | 0.0175706i | ||||||||
\(826\) | 4.52457e9 | − | 6.58346e11i | 0.00971980 | − | 1.41428i | ||||
\(827\) | −5.21402e11 | − | 5.21402e11i | −1.11468 | − | 1.11468i | −0.992509 | − | 0.122173i | \(-0.961014\pi\) |
−0.122173 | − | 0.992509i | \(-0.538986\pi\) | |||||||
\(828\) | 8.57320e10 | + | 1.17847e9i | 0.182399 | + | 0.00250724i | ||||
\(829\) | 4.52099e11 | + | 4.52099e11i | 0.957227 | + | 0.957227i | 0.999122 | − | 0.0418949i | \(-0.0133395\pi\) |
−0.0418949 | + | 0.999122i | \(0.513339\pi\) | |||||||
\(830\) | −7.92689e11 | + | 7.81867e11i | −1.67028 | + | 1.64748i | ||||
\(831\) | 1.72540e11i | 0.361814i | ||||||||
\(832\) | −3.56794e11 | + | 3.28519e11i | −0.744601 | + | 0.685594i | ||||
\(833\) | 6.11537e11 | 1.27011 | ||||||||
\(834\) | 2.57798e11 | + | 2.61366e11i | 0.532862 | + | 0.540238i | ||||
\(835\) | 1.84270e11 | − | 1.84270e11i | 0.379061 | − | 0.379061i | ||||
\(836\) | 2.67044e8 | − | 1.94272e10i | 0.000546712 | − | 0.0397727i | ||||
\(837\) | −1.07207e11 | + | 1.07207e11i | −0.218434 | + | 0.218434i | ||||
\(838\) | −2.64061e10 | − | 1.81480e8i | −0.0535462 | − | 0.000368003i | ||||
\(839\) | 2.15602e11 | 0.435117 | 0.217558 | − | 0.976047i | \(-0.430191\pi\) | ||||
0.217558 | + | 0.976047i | \(0.430191\pi\) | |||||||
\(840\) | −2.98670e11 | − | 3.11247e11i | −0.599894 | − | 0.625155i | ||||
\(841\) | − | 3.91377e11i | − | 0.782369i | ||||||
\(842\) | −7.44757e10 | − | 5.11844e8i | −0.148172 | − | 0.00101833i | ||||
\(843\) | −4.67674e10 | − | 4.67674e10i | −0.0926047 | − | 0.0926047i | ||||
\(844\) | 6.73432e10 | + | 6.92204e10i | 0.132716 | + | 0.136416i | ||||
\(845\) | −1.38843e10 | − | 1.38843e10i | −0.0272332 | − | 0.0272332i | ||||
\(846\) | −5.17668e11 | − | 5.24833e11i | −1.01058 | − | 1.02457i | ||||
\(847\) | − | 6.78492e11i | − | 1.31829i | ||||||
\(848\) | 2.13214e11 | − | 2.01802e11i | 0.412318 | − | 0.390250i | ||||
\(849\) | −1.61722e11 | −0.311270 | ||||||||
\(850\) | 9.41413e11 | − | 9.28562e11i | 1.80345 | − | 1.77883i | ||||
\(851\) | −3.19416e10 | + | 3.19416e10i | −0.0609029 | + | 0.0609029i | ||||
\(852\) | 2.13577e11 | + | 2.19530e11i | 0.405318 | + | 0.416616i | ||||
\(853\) | 1.70081e11 | − | 1.70081e11i | 0.321262 | − | 0.321262i | −0.527989 | − | 0.849251i | \(-0.677054\pi\) |
0.849251 | + | 0.527989i | \(0.177054\pi\) | |||||||
\(854\) | 6.53324e7 | − | 9.50616e9i | 0.000122828 | − | 0.0178720i | ||||
\(855\) | −9.69330e11 | −1.81387 | ||||||||
\(856\) | 1.23929e11 | + | 2.55547e9i | 0.230822 | + | 0.00475967i | ||||
\(857\) | − | 7.04199e11i | − | 1.30548i | −0.757580 | − | 0.652742i | \(-0.773618\pi\) | ||
0.757580 | − | 0.652742i | \(-0.226382\pi\) | |||||||
\(858\) | −4.48367e7 | + | 6.52394e9i | −8.27340e−5 | + | 0.0120382i | ||||
\(859\) | 5.07217e10 | + | 5.07217e10i | 0.0931583 | + | 0.0931583i | 0.752150 | − | 0.658992i | \(-0.229017\pi\) |
−0.658992 | + | 0.752150i | \(0.729017\pi\) | |||||||
\(860\) | −4.08335e9 | + | 2.97059e11i | −0.00746489 | + | 0.543062i | ||||
\(861\) | −1.38495e11 | − | 1.38495e11i | −0.252013 | − | 0.252013i | ||||
\(862\) | 1.36960e11 | − | 1.35090e11i | 0.248064 | − | 0.244677i | ||||
\(863\) | 1.98911e11i | 0.358605i | 0.983794 | + | 0.179303i | \(0.0573841\pi\) | ||||
−0.983794 | + | 0.179303i | \(0.942616\pi\) | |||||||
\(864\) | 1.45853e10 | − | 4.24285e11i | 0.0261734 | − | 0.761382i | ||||
\(865\) | −6.90956e11 | −1.23420 | ||||||||
\(866\) | 4.90219e11 | + | 4.97003e11i | 0.871602 | + | 0.883665i | ||||
\(867\) | 3.23436e11 | − | 3.23436e11i | 0.572416 | − | 0.572416i | ||||
\(868\) | −3.03654e11 | − | 4.17401e9i | −0.534934 | − | 0.00735316i | ||||
\(869\) | −1.46912e10 | + | 1.46912e10i | −0.0257620 | + | 0.0257620i | ||||
\(870\) | −1.75506e11 | − | 1.20619e9i | −0.306349 | − | 0.00210542i | ||||
\(871\) | −6.70536e9 | −0.0116506 | ||||||||
\(872\) | 7.77173e11 | + | 1.60257e10i | 1.34416 | + | 0.0277173i | ||||
\(873\) | 6.54470e11i | 1.12676i | ||||||||
\(874\) | −1.79822e11 | − | 1.23585e9i | −0.308175 | − | 0.00211798i | ||||
\(875\) | 4.10821e11 | + | 4.10821e11i | 0.700843 | + | 0.700843i | ||||
\(876\) | −6.04663e10 | + | 5.88265e10i | −0.102683 | + | 0.0998980i | ||||
\(877\) | −2.40245e11 | − | 2.40245e11i | −0.406122 | − | 0.406122i | 0.474262 | − | 0.880384i | \(-0.342715\pi\) |
−0.880384 | + | 0.474262i | \(0.842715\pi\) | |||||||
\(878\) | −7.43670e9 | − | 7.53962e9i | −0.0125142 | − | 0.0126874i | ||||
\(879\) | − | 3.53330e11i | − | 0.591869i | ||||||
\(880\) | −2.68967e10 | − | 7.39579e8i | −0.0448506 | − | 0.00123326i | ||||
\(881\) | 9.94503e10 | 0.165083 | 0.0825415 | − | 0.996588i | \(-0.473696\pi\) | ||||
0.0825415 | + | 0.996588i | \(0.473696\pi\) | |||||||
\(882\) | −2.63581e11 | + | 2.59982e11i | −0.435551 | + | 0.429605i | ||||
\(883\) | −7.99563e11 | + | 7.99563e11i | −1.31525 | + | 1.31525i | −0.397769 | + | 0.917486i | \(0.630215\pi\) |
−0.917486 | + | 0.397769i | \(0.869785\pi\) | |||||||
\(884\) | 7.59663e11 | − | 7.39062e11i | 1.24398 | − | 1.21024i | ||||
\(885\) | 3.05355e11 | − | 3.05355e11i | 0.497773 | − | 0.497773i | ||||
\(886\) | 6.29311e9 | − | 9.15677e11i | 0.0102125 | − | 1.48596i | ||||
\(887\) | 2.85580e10 | 0.0461352 | 0.0230676 | − | 0.999734i | \(-0.492657\pi\) | ||||
0.0230676 | + | 0.999734i | \(0.492657\pi\) | |||||||
\(888\) | 7.00487e10 | + | 7.29984e10i | 0.112654 | + | 0.117398i | ||||
\(889\) | − | 1.05012e11i | − | 0.168125i | ||||||
\(890\) | −3.96455e9 | + | 5.76860e11i | −0.00631879 | + | 0.919413i | ||||
\(891\) | 6.45434e9 | + | 6.45434e9i | 0.0102410 | + | 0.0102410i | ||||
\(892\) | −2.16861e11 | − | 2.98095e9i | −0.342548 | − | 0.00470863i | ||||
\(893\) | 1.09327e12 | + | 1.09327e12i | 1.71918 | + | 1.71918i | ||||
\(894\) | −8.46122e10 | + | 8.34571e10i | −0.132459 | + | 0.130651i | ||||
\(895\) | − | 4.64485e9i | − | 0.00723901i | ||||||
\(896\) | 6.29506e11 | − | 5.71675e11i | 0.976715 | − | 0.886987i | ||||
\(897\) | 6.03842e10 | 0.0932725 | ||||||||
\(898\) | −7.95585e11 | − | 8.06596e11i | −1.22344 | − | 1.24037i | ||||
\(899\) | −8.73697e10 | + | 8.73697e10i | −0.133759 | + | 0.133759i | ||||
\(900\) | −1.10029e10 | + | 8.00445e11i | −0.0167701 | + | 1.22000i | ||||
\(901\) | −4.53633e11 | + | 4.53633e11i | −0.688344 | + | 0.688344i | ||||
\(902\) | −1.22167e10 | − | 8.39612e7i | −0.0184556 | − | 0.000126839i | ||||
\(903\) | −1.26298e11 | −0.189952 | ||||||||
\(904\) | −1.39851e11 | + | 1.34200e11i | −0.209408 | + | 0.200946i | ||||
\(905\) | 9.13958e11i | 1.36249i | ||||||||
\(906\) | −1.94076e11 | − | 1.33382e9i | −0.288045 | − | 0.00197963i | ||||
\(907\) | −6.40471e10 | − | 6.40471e10i | −0.0946390 | − | 0.0946390i | 0.658202 | − | 0.752841i | \(-0.271317\pi\) |
−0.752841 | + | 0.658202i | \(0.771317\pi\) | |||||||
\(908\) | −6.99820e10 | − | 7.19327e10i | −0.102954 | − | 0.105824i | ||||
\(909\) | −3.62577e11 | − | 3.62577e11i | −0.531062 | − | 0.531062i | ||||
\(910\) | 1.01216e12 | + | 1.02616e12i | 1.47599 | + | 1.49641i | ||||
\(911\) | 7.81198e9i | 0.0113419i | 0.999984 | + | 0.00567097i | \(0.00180514\pi\) | ||||
−0.999984 | + | 0.00567097i | \(0.998195\pi\) | |||||||
\(912\) | −1.10703e10 | + | 4.02601e11i | −0.0160023 | + | 0.581963i | ||||
\(913\) | −2.95243e10 | −0.0424909 | ||||||||
\(914\) | −8.61066e11 | + | 8.49311e11i | −1.23382 | + | 1.21698i | ||||
\(915\) | 4.40916e9 | − | 4.40916e9i | 0.00629030 | − | 0.00629030i | ||||
\(916\) | 1.70997e11 | + | 1.75764e11i | 0.242889 | + | 0.249659i | ||||
\(917\) | −1.01733e12 | + | 1.01733e12i | −1.43875 | + | 1.43875i | ||||
\(918\) | −6.37576e9 | + | 9.27703e11i | −0.00897762 | + | 1.30629i | ||||
\(919\) | 4.51092e11 | 0.632417 | 0.316209 | − | 0.948690i | \(-0.397590\pi\) | ||||
0.316209 | + | 0.948690i | \(0.397590\pi\) | |||||||
\(920\) | −5.13420e9 | + | 2.48985e11i | −0.00716674 | + | 0.347554i | ||||
\(921\) | 2.45719e11i | 0.341508i | ||||||||
\(922\) | 4.66534e9 | − | 6.78828e11i | 0.00645594 | − | 0.939369i | ||||
\(923\) | −7.23647e11 | − | 7.23647e11i | −0.997057 | − | 0.997057i | ||||
\(924\) | 1.57220e8 | − | 1.14375e10i | 0.000215684 | − | 0.0156908i | ||||
\(925\) | −2.98226e11 | − | 2.98226e11i | −0.407360 | − | 0.407360i | ||||
\(926\) | 9.24102e11 | − | 9.11486e11i | 1.25683 | − | 1.23967i | ||||
\(927\) | − | 7.71618e11i | − | 1.04492i | ||||||
\(928\) | 1.18865e10 | − | 3.45776e11i | 0.0160273 | − | 0.466234i | ||||
\(929\) | −7.44358e11 | −0.999353 | −0.499676 | − | 0.866212i | \(-0.666548\pi\) | ||||
−0.499676 | + | 0.866212i | \(0.666548\pi\) | |||||||
\(930\) | −1.39880e11 | − | 1.41816e11i | −0.186992 | − | 0.189580i | ||||
\(931\) | 5.49059e11 | − | 5.49059e11i | 0.730837 | − | 0.730837i | ||||
\(932\) | 4.23138e11 | + | 5.81643e9i | 0.560814 | + | 0.00770890i | ||||
\(933\) | −6.49366e10 | + | 6.49366e10i | −0.0856965 | + | 0.0856965i | ||||
\(934\) | 5.37257e10 | + | 3.69237e8i | 0.0705983 | + | 0.000485197i | ||||
\(935\) | 5.87987e10 | 0.0769346 | ||||||||
\(936\) | −1.32281e10 | + | 6.41501e11i | −0.0172343 | + | 0.835783i | ||||
\(937\) | 1.06265e12i | 1.37859i | 0.724483 | + | 0.689293i | \(0.242079\pi\) | ||||
−0.724483 | + | 0.689293i | \(0.757921\pi\) | |||||||
\(938\) | 1.17562e10 | + | 8.07958e7i | 0.0151864 | + | 0.000104370i | ||||
\(939\) | 6.00245e10 | + | 6.00245e10i | 0.0772087 | + | 0.0772087i | ||||
\(940\) | 1.53471e12 | − | 1.49309e12i | 1.96569 | − | 1.91238i | ||||
\(941\) | −7.14601e11 | − | 7.14601e11i | −0.911392 | − | 0.911392i | 0.0849900 | − | 0.996382i | \(-0.472914\pi\) |
−0.996382 | + | 0.0849900i | \(0.972914\pi\) | |||||||
\(942\) | −3.16833e11 | − | 3.21218e11i | −0.402371 | − | 0.407940i | ||||
\(943\) | 1.13076e11i | 0.142995i | ||||||||
\(944\) | 5.85167e11 | + | 6.18257e11i | 0.736871 | + | 0.778541i | ||||
\(945\) | −1.26165e12 | −1.58202 | ||||||||
\(946\) | −5.60867e9 | + | 5.53210e9i | −0.00700318 | + | 0.00690757i | ||||
\(947\) | 5.62085e11 | − | 5.62085e11i | 0.698879 | − | 0.698879i | −0.265290 | − | 0.964169i | \(-0.585468\pi\) |
0.964169 | + | 0.265290i | \(0.0854676\pi\) | |||||||
\(948\) | 3.08698e11 | − | 3.00327e11i | 0.382209 | − | 0.371844i | ||||
\(949\) | 1.99318e11 | − | 1.99318e11i | 0.245743 | − | 0.245743i | ||||
\(950\) | 1.15387e10 | − | 1.67893e12i | 0.0141664 | − | 2.06128i | ||||
\(951\) | −3.14750e11 | −0.384808 | ||||||||
\(952\) | −1.34078e12 | + | 1.28660e12i | −1.63234 | + | 1.56638i | ||||
\(953\) | 5.74014e11i | 0.695906i | 0.937512 | + | 0.347953i | \(0.113123\pi\) | ||||
−0.937512 | + | 0.347953i | \(0.886877\pi\) | |||||||
\(954\) | 2.66916e9 | − | 3.88375e11i | 0.00322241 | − | 0.468875i | ||||
\(955\) | 8.47365e11 | + | 8.47365e11i | 1.01873 | + | 1.01873i | ||||
\(956\) | −1.51010e12 | − | 2.07578e10i | −1.80790 | − | 0.0248513i | ||||
\(957\) | −3.29090e9 | − | 3.29090e9i | −0.00392344 | − | 0.00392344i | ||||
\(958\) | −7.57883e11 | + | 7.47537e11i | −0.899788 | + | 0.887505i | ||||
\(959\) | − | 1.06220e12i | − | 1.25583i | ||||||
\(960\) | 5.57291e11 | + | 2.29930e10i | 0.656141 | + | 0.0270714i | ||||
\(961\) | 7.12659e11 | 0.835580 | ||||||||
\(962\) | −2.37387e11 | − | 2.40672e11i | −0.277176 | − | 0.281013i | ||||
\(963\) | 1.15957e11 | − | 1.15957e11i | 0.134831 | − | 0.134831i | ||||
\(964\) | −1.12682e10 | + | 8.19745e11i | −0.0130480 | + | 0.949228i | ||||
\(965\) | 1.30842e12 | − | 1.30842e12i | 1.50882 | − | 1.50882i | ||||
\(966\) | −1.05868e11 | − | 7.27595e8i | −0.121579 | − | 0.000835567i | ||||
\(967\) | 7.84920e10 | 0.0897676 | 0.0448838 | − | 0.998992i | \(-0.485708\pi\) | ||||
0.0448838 | + | 0.998992i | \(0.485708\pi\) | |||||||
\(968\) | 6.07424e11 | + | 6.33002e11i | 0.691816 | + | 0.720948i | ||||
\(969\) | − | 8.80125e11i | − | 0.998273i | ||||||
\(970\) | −1.90091e12 | − | 1.30642e10i | −2.14721 | − | 0.0147570i | ||||
\(971\) | 6.36692e11 | + | 6.36692e11i | 0.716230 | + | 0.716230i | 0.967831 | − | 0.251601i | \(-0.0809571\pi\) |
−0.251601 | + | 0.967831i | \(0.580957\pi\) | |||||||
\(972\) | −6.06138e11 | − | 6.23034e11i | −0.679058 | − | 0.697986i | ||||
\(973\) | 1.52075e12 | + | 1.52075e12i | 1.69671 | + | 1.69671i | ||||
\(974\) | 5.89860e11 | + | 5.98024e11i | 0.655411 | + | 0.664482i | ||||
\(975\) | 5.63783e11i | 0.623869i | ||||||||
\(976\) | 8.44950e9 | + | 8.92731e9i | 0.00931176 | + | 0.00983833i | ||||
\(977\) | 6.26449e11 | 0.687555 | 0.343778 | − | 0.939051i | \(-0.388293\pi\) | ||||
0.343778 | + | 0.939051i | \(0.388293\pi\) | |||||||
\(978\) | −9.93844e10 | + | 9.80276e10i | −0.108633 | + | 0.107150i | ||||
\(979\) | −1.08166e10 | + | 1.08166e10i | −0.0117750 | + | 0.0117750i | ||||
\(980\) | −7.49858e11 | − | 7.70760e11i | −0.812970 | − | 0.835632i | ||||
\(981\) | 7.27180e11 | − | 7.27180e11i | 0.785174 | − | 0.785174i | ||||
\(982\) | 1.56371e9 | − | 2.27528e11i | 0.00168156 | − | 0.244674i | ||||
\(983\) | −5.92199e11 | −0.634240 | −0.317120 | − | 0.948385i | \(-0.602716\pi\) | ||||
−0.317120 | + | 0.948385i | \(0.602716\pi\) | |||||||
\(984\) | 2.53199e11 | + | 5.22109e9i | 0.270073 | + | 0.00556904i | ||||
\(985\) | − | 9.95828e11i | − | 1.05789i | ||||||
\(986\) | −5.19601e9 | + | 7.56043e11i | −0.00549746 | + | 0.799906i | ||||
\(987\) | 6.43650e11 | + | 6.43650e11i | 0.678236 | + | 0.678236i | ||||
\(988\) | 1.84966e10 | − | 1.34561e12i | 0.0194117 | − | 1.41218i | ||||
\(989\) | 5.15583e10 | + | 5.15583e10i | 0.0538906 | + | 0.0538906i | ||||
\(990\) | −2.53431e10 | + | 2.49971e10i | −0.0263826 | + | 0.0260225i | ||||
\(991\) | − | 9.90287e11i | − | 1.02675i | −0.858163 | − | 0.513377i | \(-0.828394\pi\) | ||
0.858163 | − | 0.513377i | \(-0.171606\pi\) | |||||||
\(992\) | 2.87032e11 | − | 2.67954e11i | 0.296404 | − | 0.276703i | ||||
\(993\) | 4.72574e11 | 0.486041 | ||||||||
\(994\) | 1.26001e12 | + | 1.27745e12i | 1.29071 | + | 1.30858i | ||||
\(995\) | −5.29126e11 | + | 5.29126e11i | −0.539842 | + | 0.539842i | ||||
\(996\) | 6.11965e11 | + | 8.41202e9i | 0.621855 | + | 0.00854797i | ||||
\(997\) | 3.70968e11 | − | 3.70968e11i | 0.375454 | − | 0.375454i | −0.494005 | − | 0.869459i | \(-0.664468\pi\) |
0.869459 | + | 0.494005i | \(0.164468\pi\) | |||||||
\(998\) | −3.15420e10 | − | 2.16776e8i | −0.0317956 | − | 0.000218519i | ||||
\(999\) | 2.95902e11 | 0.297089 |
(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 | 16.9.f.a.3.12 | ✓ | 30 | |
4.3 | odd | 2 | 64.9.f.a.47.6 | 30 | |||
8.3 | odd | 2 | 128.9.f.a.95.10 | 30 | |||
8.5 | even | 2 | 128.9.f.b.95.6 | 30 | |||
16.3 | odd | 4 | 128.9.f.b.31.6 | 30 | |||
16.5 | even | 4 | 64.9.f.a.15.6 | 30 | |||
16.11 | odd | 4 | inner | 16.9.f.a.11.12 | yes | 30 | |
16.13 | even | 4 | 128.9.f.a.31.10 | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.9.f.a.3.12 | ✓ | 30 | 1.1 | even | 1 | trivial | |
16.9.f.a.11.12 | yes | 30 | 16.11 | odd | 4 | inner | |
64.9.f.a.15.6 | 30 | 16.5 | even | 4 | |||
64.9.f.a.47.6 | 30 | 4.3 | odd | 2 | |||
128.9.f.a.31.10 | 30 | 16.13 | even | 4 | |||
128.9.f.a.95.10 | 30 | 8.3 | odd | 2 | |||
128.9.f.b.31.6 | 30 | 16.3 | odd | 4 | |||
128.9.f.b.95.6 | 30 | 8.5 | even | 2 |