Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,20,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 20, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 20);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 20 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(27.4580035868\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.6 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.20.b.a.11.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −641.248 | + | 336.287i | −0.885607 | + | 0.464435i | ||||
\(3\) | 33097.3 | + | 8174.89i | 0.970825 | + | 0.239790i | ||||
\(4\) | 298110. | − | 431287.i | 0.568600 | − | 0.822614i | ||||
\(5\) | − | 2.18420e6i | − | 0.500124i | −0.968230 | − | 0.250062i | \(-0.919549\pi\) | ||
0.968230 | − | 0.250062i | \(-0.0804510\pi\) | |||||||
\(6\) | −2.39727e7 | + | 5.88806e6i | −0.971136 | + | 0.238526i | ||||
\(7\) | 4.59862e7i | 0.430721i | 0.976535 | + | 0.215360i | \(0.0690926\pi\) | ||||
−0.976535 | + | 0.215360i | \(0.930907\pi\) | |||||||
\(8\) | −4.61264e7 | + | 3.76812e8i | −0.121505 | + | 0.992591i | ||||
\(9\) | 1.02860e9 | + | 5.41134e8i | 0.885002 | + | 0.465587i | ||||
\(10\) | 7.34518e8 | + | 1.40061e9i | 0.232275 | + | 0.442913i | ||||
\(11\) | −1.63317e8 | −0.0208833 | −0.0104417 | − | 0.999945i | \(-0.503324\pi\) | ||||
−0.0104417 | + | 0.999945i | \(0.503324\pi\) | |||||||
\(12\) | 1.33924e10 | − | 1.18374e10i | 0.749265 | − | 0.662270i | ||||
\(13\) | 2.15485e9 | 0.0563580 | 0.0281790 | − | 0.999603i | \(-0.491029\pi\) | ||||
0.0281790 | + | 0.999603i | \(0.491029\pi\) | |||||||
\(14\) | −1.54645e10 | − | 2.94885e10i | −0.200042 | − | 0.381449i | ||||
\(15\) | 1.78556e10 | − | 7.22912e10i | 0.119924 | − | 0.485533i | ||||
\(16\) | −9.71387e10 | − | 2.57142e11i | −0.353388 | − | 0.935477i | ||||
\(17\) | 3.11478e11i | 0.637033i | 0.947917 | + | 0.318517i | \(0.103185\pi\) | ||||
−0.947917 | + | 0.318517i | \(0.896815\pi\) | |||||||
\(18\) | −8.41566e11 | − | 1.09519e9i | −0.999999 | − | 0.00130137i | ||||
\(19\) | − | 2.29703e12i | − | 1.63308i | −0.577289 | − | 0.816540i | \(-0.695889\pi\) | ||
0.577289 | − | 0.816540i | \(-0.304111\pi\) | |||||||
\(20\) | −9.42017e11 | − | 6.51132e11i | −0.411409 | − | 0.284370i | ||||
\(21\) | −3.75932e11 | + | 1.52202e12i | −0.103282 | + | 0.418154i | ||||
\(22\) | 1.04727e11 | − | 5.49213e10i | 0.0184944 | − | 0.00969896i | ||||
\(23\) | 1.23364e13 | 1.42815 | 0.714076 | − | 0.700068i | \(-0.246847\pi\) | ||||
0.714076 | + | 0.700068i | \(0.246847\pi\) | |||||||
\(24\) | −4.60706e12 | + | 1.20944e13i | −0.355973 | + | 0.934496i | ||||
\(25\) | 1.43028e13 | 0.749876 | ||||||||
\(26\) | −1.38179e12 | + | 7.24648e11i | −0.0499110 | + | 0.0261746i | ||||
\(27\) | 2.96203e13 | + | 2.63188e13i | 0.747539 | + | 0.664218i | ||||
\(28\) | 1.98332e13 | + | 1.37089e13i | 0.354317 | + | 0.244908i | ||||
\(29\) | 1.30839e14i | 1.67477i | 0.546614 | + | 0.837384i | \(0.315916\pi\) | ||||
−0.546614 | + | 0.837384i | \(0.684084\pi\) | |||||||
\(30\) | 1.28607e13 | + | 5.23612e13i | 0.119293 | + | 0.485688i | ||||
\(31\) | − | 8.17993e13i | − | 0.555666i | −0.960629 | − | 0.277833i | \(-0.910384\pi\) | ||
0.960629 | − | 0.277833i | \(-0.0896161\pi\) | |||||||
\(32\) | 1.48763e14 | + | 1.32225e14i | 0.747432 | + | 0.664339i | ||||
\(33\) | −5.40535e12 | − | 1.33510e12i | −0.0202741 | − | 0.00500761i | ||||
\(34\) | −1.04746e14 | − | 1.99734e14i | −0.295861 | − | 0.564161i | ||||
\(35\) | 1.00443e14 | 0.215414 | ||||||||
\(36\) | 5.40021e14 | − | 2.82306e14i | 0.886211 | − | 0.463282i | ||||
\(37\) | 2.92779e14 | 0.370359 | 0.185180 | − | 0.982705i | \(-0.440713\pi\) | ||||
0.185180 | + | 0.982705i | \(0.440713\pi\) | |||||||
\(38\) | 7.72461e14 | + | 1.47297e15i | 0.758460 | + | 1.44627i | ||||
\(39\) | 7.13198e13 | + | 1.76157e13i | 0.0547137 | + | 0.0135141i | ||||
\(40\) | 8.23034e14 | + | 1.00749e14i | 0.496418 | + | 0.0607676i | ||||
\(41\) | 2.15250e15i | 1.02682i | 0.858142 | + | 0.513412i | \(0.171619\pi\) | ||||
−0.858142 | + | 0.513412i | \(0.828381\pi\) | |||||||
\(42\) | −2.70769e14 | − | 1.10241e15i | −0.102738 | − | 0.418288i | ||||
\(43\) | 6.38710e14i | 0.193800i | 0.995294 | + | 0.0968999i | \(0.0308927\pi\) | ||||
−0.995294 | + | 0.0968999i | \(0.969107\pi\) | |||||||
\(44\) | −4.86864e13 | + | 7.04363e13i | −0.0118743 | + | 0.0171789i | ||||
\(45\) | 1.18195e15 | − | 2.24668e15i | 0.232851 | − | 0.442611i | ||||
\(46\) | −7.91070e15 | + | 4.14858e15i | −1.26478 | + | 0.663284i | ||||
\(47\) | 5.11318e15 | 0.666440 | 0.333220 | − | 0.942849i | \(-0.391865\pi\) | ||||
0.333220 | + | 0.942849i | \(0.391865\pi\) | |||||||
\(48\) | −1.11292e15 | − | 9.30481e15i | −0.118761 | − | 0.992923i | ||||
\(49\) | 9.28417e15 | 0.814480 | ||||||||
\(50\) | −9.17161e15 | + | 4.80983e15i | −0.664096 | + | 0.348269i | ||||
\(51\) | −2.54630e15 | + | 1.03091e16i | −0.152754 | + | 0.618448i | ||||
\(52\) | 6.42383e14 | − | 9.29359e14i | 0.0320451 | − | 0.0463609i | ||||
\(53\) | − | 5.34552e15i | − | 0.222520i | −0.993791 | − | 0.111260i | \(-0.964511\pi\) | ||
0.993791 | − | 0.111260i | \(-0.0354886\pi\) | |||||||
\(54\) | −2.78446e16 | − | 6.91597e15i | −0.970512 | − | 0.241053i | ||||
\(55\) | 3.56716e14i | 0.0104443i | ||||||||
\(56\) | −1.73282e16 | − | 2.12117e15i | −0.427529 | − | 0.0523347i | ||||
\(57\) | 1.87780e16 | − | 7.60255e16i | 0.391595 | − | 1.58543i | ||||
\(58\) | −4.39993e16 | − | 8.39000e16i | −0.777822 | − | 1.48319i | ||||
\(59\) | −5.99385e16 | −0.900765 | −0.450383 | − | 0.892836i | \(-0.648712\pi\) | ||||
−0.450383 | + | 0.892836i | \(0.648712\pi\) | |||||||
\(60\) | −2.58553e16 | − | 2.92516e16i | −0.331217 | − | 0.374725i | ||||
\(61\) | 8.58272e16 | 0.939705 | 0.469853 | − | 0.882745i | \(-0.344307\pi\) | ||||
0.469853 | + | 0.882745i | \(0.344307\pi\) | |||||||
\(62\) | 2.75080e16 | + | 5.24536e16i | 0.258071 | + | 0.492101i | ||||
\(63\) | −2.48847e16 | + | 4.73015e16i | −0.200538 | + | 0.381189i | ||||
\(64\) | −1.39860e17 | − | 3.47620e16i | −0.970473 | − | 0.241210i | ||||
\(65\) | − | 4.70663e15i | − | 0.0281860i | ||||||
\(66\) | 3.91514e15 | − | 9.61619e14i | 0.0202806 | − | 0.00498122i | ||||
\(67\) | 3.62115e17i | 1.62606i | 0.582223 | + | 0.813029i | \(0.302183\pi\) | ||||
−0.582223 | + | 0.813029i | \(0.697817\pi\) | |||||||
\(68\) | 1.34336e17 | + | 9.28546e16i | 0.524033 | + | 0.362217i | ||||
\(69\) | 4.08302e17 | + | 1.00849e17i | 1.38649 | + | 0.342456i | ||||
\(70\) | −6.44089e16 | + | 3.37777e16i | −0.190772 | + | 0.100046i | ||||
\(71\) | 4.95732e17 | 1.28319 | 0.641597 | − | 0.767042i | \(-0.278272\pi\) | ||||
0.641597 | + | 0.767042i | \(0.278272\pi\) | |||||||
\(72\) | −2.51352e17 | + | 3.62630e17i | −0.569670 | + | 0.821874i | ||||
\(73\) | 7.06604e17 | 1.40478 | 0.702391 | − | 0.711791i | \(-0.252116\pi\) | ||||
0.702391 | + | 0.711791i | \(0.252116\pi\) | |||||||
\(74\) | −1.87744e17 | + | 9.84577e16i | −0.327993 | + | 0.172008i | ||||
\(75\) | 4.73383e17 | + | 1.16924e17i | 0.727998 | + | 0.179812i | ||||
\(76\) | −9.90678e17 | − | 6.84768e17i | −1.34339 | − | 0.928569i | ||||
\(77\) | − | 7.51031e15i | − | 0.00899489i | ||||||
\(78\) | −5.16576e16 | + | 1.26879e16i | −0.0547313 | + | 0.0134428i | ||||
\(79\) | − | 1.01984e18i | − | 0.957356i | −0.877991 | − | 0.478678i | \(-0.841116\pi\) | ||
0.877991 | − | 0.478678i | \(-0.158884\pi\) | |||||||
\(80\) | −5.61649e17 | + | 2.12170e17i | −0.467854 | + | 0.176738i | ||||
\(81\) | 7.65199e17 | + | 1.11323e18i | 0.566457 | + | 0.824091i | ||||
\(82\) | −7.23857e17 | − | 1.38029e18i | −0.476893 | − | 0.909363i | ||||
\(83\) | −4.60593e17 | −0.270443 | −0.135221 | − | 0.990815i | \(-0.543175\pi\) | ||||
−0.135221 | + | 0.990815i | \(0.543175\pi\) | |||||||
\(84\) | 5.44357e17 | + | 6.15864e17i | 0.285253 | + | 0.322724i | ||||
\(85\) | 6.80330e17 | 0.318596 | ||||||||
\(86\) | −2.14790e17 | − | 4.09572e17i | −0.0900075 | − | 0.171631i | ||||
\(87\) | −1.06959e18 | + | 4.33041e18i | −0.401592 | + | 1.62591i | ||||
\(88\) | 7.53321e15 | − | 6.15398e16i | 0.00253743 | − | 0.0207286i | ||||
\(89\) | − | 5.30538e18i | − | 1.60513i | −0.596562 | − | 0.802567i | \(-0.703467\pi\) | ||
0.596562 | − | 0.802567i | \(-0.296533\pi\) | |||||||
\(90\) | −2.39211e15 | + | 1.83815e18i | −0.000650844 | + | 0.500123i | ||||
\(91\) | 9.90933e16i | 0.0242745i | ||||||||
\(92\) | 3.67761e18 | − | 5.32053e18i | 0.812047 | − | 1.17482i | ||||
\(93\) | 6.68701e17 | − | 2.70734e18i | 0.133243 | − | 0.539454i | ||||
\(94\) | −3.27882e18 | + | 1.71950e18i | −0.590204 | + | 0.309518i | ||||
\(95\) | −5.01717e18 | −0.816742 | ||||||||
\(96\) | 3.84274e18 | + | 5.59243e18i | 0.566324 | + | 0.824183i | ||||
\(97\) | −1.13803e19 | −1.51993 | −0.759964 | − | 0.649966i | \(-0.774783\pi\) | ||||
−0.759964 | + | 0.649966i | \(0.774783\pi\) | |||||||
\(98\) | −5.95345e18 | + | 3.12215e18i | −0.721309 | + | 0.378273i | ||||
\(99\) | −1.67988e17 | − | 8.83763e16i | −0.0184818 | − | 0.00972302i | ||||
\(100\) | 4.26379e18 | − | 6.16859e18i | 0.426379 | − | 0.616859i | ||||
\(101\) | 1.00394e19i | 0.913390i | 0.889623 | + | 0.456695i | \(0.150967\pi\) | ||||
−0.889623 | + | 0.456695i | \(0.849033\pi\) | |||||||
\(102\) | −1.83400e18 | − | 7.46696e18i | −0.151949 | − | 0.618646i | ||||
\(103\) | − | 2.29488e19i | − | 1.73303i | −0.499150 | − | 0.866515i | \(-0.666354\pi\) | ||
0.499150 | − | 0.866515i | \(-0.333646\pi\) | |||||||
\(104\) | −9.93954e16 | + | 8.11974e17i | −0.00684778 | + | 0.0559404i | ||||
\(105\) | 3.32439e18 | + | 8.21111e17i | 0.209129 | + | 0.0516539i | ||||
\(106\) | 1.79763e18 | + | 3.42780e18i | 0.103346 | + | 0.197065i | ||||
\(107\) | 1.35945e19 | 0.714854 | 0.357427 | − | 0.933941i | \(-0.383654\pi\) | ||||
0.357427 | + | 0.933941i | \(0.383654\pi\) | |||||||
\(108\) | 2.01811e19 | − | 4.92894e18i | 0.971446 | − | 0.237262i | ||||
\(109\) | −2.99913e19 | −1.32265 | −0.661324 | − | 0.750100i | \(-0.730005\pi\) | ||||
−0.661324 | + | 0.750100i | \(0.730005\pi\) | |||||||
\(110\) | −1.19959e17 | − | 2.28744e17i | −0.00485068 | − | 0.00924951i | ||||
\(111\) | 9.69019e18 | + | 2.39344e18i | 0.359554 | + | 0.0888083i | ||||
\(112\) | 1.18250e19 | − | 4.46703e18i | 0.402929 | − | 0.152212i | ||||
\(113\) | 4.50800e19i | 1.41169i | 0.708368 | + | 0.705843i | \(0.249432\pi\) | ||||
−0.708368 | + | 0.705843i | \(0.750568\pi\) | |||||||
\(114\) | 1.35251e19 | + | 5.50660e19i | 0.389532 | + | 1.58594i | ||||
\(115\) | − | 2.69452e19i | − | 0.714253i | ||||||
\(116\) | 5.64290e19 | + | 3.90043e19i | 1.37769 | + | 0.952273i | ||||
\(117\) | 2.21649e18 | + | 1.16606e18i | 0.0498769 | + | 0.0262396i | ||||
\(118\) | 3.84354e19 | − | 2.01565e19i | 0.797724 | − | 0.418347i | ||||
\(119\) | −1.43237e19 | −0.274383 | ||||||||
\(120\) | 2.64166e19 | + | 1.00627e19i | 0.467364 | + | 0.178031i | ||||
\(121\) | −6.11324e19 | −0.999564 | ||||||||
\(122\) | −5.50365e19 | + | 2.88626e19i | −0.832209 | + | 0.436432i | ||||
\(123\) | −1.75964e19 | + | 7.12419e19i | −0.246222 | + | 0.996867i | ||||
\(124\) | −3.52790e19 | − | 2.43852e19i | −0.457099 | − | 0.315951i | ||||
\(125\) | − | 7.29004e19i | − | 0.875155i | ||||||
\(126\) | 5.03634e16 | − | 3.87004e19i | 0.000560525 | − | 0.430720i | ||||
\(127\) | − | 4.41892e19i | − | 0.456226i | −0.973635 | − | 0.228113i | \(-0.926744\pi\) | ||
0.973635 | − | 0.228113i | \(-0.0732556\pi\) | |||||||
\(128\) | 1.01375e20 | − | 2.47420e19i | 0.971484 | − | 0.237105i | ||||
\(129\) | −5.22139e18 | + | 2.11396e19i | −0.0464712 | + | 0.188146i | ||||
\(130\) | 1.58278e18 | + | 3.01812e18i | 0.0130906 | + | 0.0249617i | ||||
\(131\) | −9.06188e19 | −0.696853 | −0.348426 | − | 0.937336i | \(-0.613284\pi\) | ||||
−0.348426 | + | 0.937336i | \(0.613284\pi\) | |||||||
\(132\) | −2.18720e18 | + | 1.93325e18i | −0.0156472 | + | 0.0138304i | ||||
\(133\) | 1.05632e20 | 0.703401 | ||||||||
\(134\) | −1.21775e20 | − | 2.32206e20i | −0.755198 | − | 1.44005i | ||||
\(135\) | 5.74856e19 | − | 6.46967e19i | 0.332191 | − | 0.373862i | ||||
\(136\) | −1.17369e20 | − | 1.43673e19i | −0.632313 | − | 0.0774028i | ||||
\(137\) | − | 1.61018e20i | − | 0.809151i | −0.914505 | − | 0.404575i | \(-0.867419\pi\) | ||
0.914505 | − | 0.404575i | \(-0.132581\pi\) | |||||||
\(138\) | −2.95737e20 | + | 7.26376e19i | −1.38693 | + | 0.340651i | ||||
\(139\) | 1.11823e20i | 0.489655i | 0.969567 | + | 0.244827i | \(0.0787313\pi\) | ||||
−0.969567 | + | 0.244827i | \(0.921269\pi\) | |||||||
\(140\) | 2.99431e19 | − | 4.33197e19i | 0.122484 | − | 0.177202i | ||||
\(141\) | 1.69233e20 | + | 4.17997e19i | 0.646997 | + | 0.159805i | ||||
\(142\) | −3.17887e20 | + | 1.66708e20i | −1.13641 | + | 0.595961i | ||||
\(143\) | −3.51923e17 | −0.00117694 | ||||||||
\(144\) | 3.92311e19 | − | 3.17062e20i | 0.122797 | − | 0.992432i | ||||
\(145\) | 2.85778e20 | 0.837592 | ||||||||
\(146\) | −4.53109e20 | + | 2.37622e20i | −1.24409 | + | 0.652431i | ||||
\(147\) | 3.07281e20 | + | 7.58971e19i | 0.790717 | + | 0.195304i | ||||
\(148\) | 8.72803e19 | − | 1.26272e20i | 0.210586 | − | 0.304663i | ||||
\(149\) | − | 3.08924e20i | − | 0.699168i | −0.936905 | − | 0.349584i | \(-0.886323\pi\) | ||
0.936905 | − | 0.349584i | \(-0.113677\pi\) | |||||||
\(150\) | −3.42876e20 | + | 8.42155e19i | −0.728232 | + | 0.178865i | ||||
\(151\) | 6.16509e20i | 1.22930i | 0.788800 | + | 0.614651i | \(0.210703\pi\) | ||||
−0.788800 | + | 0.614651i | \(0.789297\pi\) | |||||||
\(152\) | 8.65549e20 | + | 1.05954e20i | 1.62098 | + | 0.198427i | ||||
\(153\) | −1.68551e20 | + | 3.20387e20i | −0.296595 | + | 0.563776i | ||||
\(154\) | 2.52562e18 | + | 4.81597e18i | 0.00417754 | + | 0.00796594i | ||||
\(155\) | −1.78666e20 | −0.277902 | ||||||||
\(156\) | 2.88586e19 | − | 2.55079e19i | 0.0422271 | − | 0.0373242i | ||||
\(157\) | 1.17728e21 | 1.62119 | 0.810595 | − | 0.585608i | \(-0.199144\pi\) | ||||
0.810595 | + | 0.585608i | \(0.199144\pi\) | |||||||
\(158\) | 3.42958e20 | + | 6.53969e20i | 0.444630 | + | 0.847841i | ||||
\(159\) | 4.36990e19 | − | 1.76922e20i | 0.0533580 | − | 0.216028i | ||||
\(160\) | 2.88807e20 | − | 3.24929e20i | 0.332252 | − | 0.373808i | ||||
\(161\) | 5.67304e20i | 0.615135i | ||||||||
\(162\) | −8.65046e20 | − | 4.56527e20i | −0.884395 | − | 0.466739i | ||||
\(163\) | 1.66607e20i | 0.160661i | 0.996768 | + | 0.0803306i | \(0.0255976\pi\) | ||||
−0.996768 | + | 0.0803306i | \(0.974402\pi\) | |||||||
\(164\) | 9.28344e20 | + | 6.41681e20i | 0.844680 | + | 0.583852i | ||||
\(165\) | −2.91612e18 | + | 1.18064e19i | −0.00250442 | + | 0.0101395i | ||||
\(166\) | 2.95354e20 | − | 1.54891e20i | 0.239506 | − | 0.125603i | ||||
\(167\) | −5.07388e20 | −0.388627 | −0.194314 | − | 0.980939i | \(-0.562248\pi\) | ||||
−0.194314 | + | 0.980939i | \(0.562248\pi\) | |||||||
\(168\) | −5.56175e20 | − | 2.11861e20i | −0.402507 | − | 0.153325i | ||||
\(169\) | −1.45728e21 | −0.996824 | ||||||||
\(170\) | −4.36260e20 | + | 2.28786e20i | −0.282150 | + | 0.147967i | ||||
\(171\) | 1.24300e21 | − | 2.36273e21i | 0.760341 | − | 1.44528i | ||||
\(172\) | 2.75467e20 | + | 1.90406e20i | 0.159423 | + | 0.110195i | ||||
\(173\) | − | 8.03156e19i | − | 0.0439908i | −0.999758 | − | 0.0219954i | \(-0.992998\pi\) | ||
0.999758 | − | 0.0219954i | \(-0.00700192\pi\) | |||||||
\(174\) | −7.70386e20 | − | 3.13655e21i | −0.399476 | − | 1.62643i | ||||
\(175\) | 6.57729e20i | 0.322987i | ||||||||
\(176\) | 1.58644e19 | + | 4.19956e19i | 0.00737993 | + | 0.0195359i | ||||
\(177\) | −1.98380e21 | − | 4.89991e20i | −0.874485 | − | 0.215994i | ||||
\(178\) | 1.78413e21 | + | 3.40206e21i | 0.745481 | + | 1.42152i | ||||
\(179\) | −2.01454e21 | −0.798128 | −0.399064 | − | 0.916923i | \(-0.630665\pi\) | ||||
−0.399064 | + | 0.916923i | \(0.630665\pi\) | |||||||
\(180\) | −6.16612e20 | − | 1.17951e21i | −0.231699 | − | 0.443215i | ||||
\(181\) | 3.55933e20 | 0.126888 | 0.0634441 | − | 0.997985i | \(-0.479792\pi\) | ||||
0.0634441 | + | 0.997985i | \(0.479792\pi\) | |||||||
\(182\) | −3.33238e19 | − | 6.35434e19i | −0.0112740 | − | 0.0214977i | ||||
\(183\) | 2.84065e21 | + | 7.01628e20i | 0.912289 | + | 0.225331i | ||||
\(184\) | −5.69034e20 | + | 4.64851e21i | −0.173528 | + | 1.41757i | ||||
\(185\) | − | 6.39488e20i | − | 0.185226i | ||||||
\(186\) | 4.81640e20 | + | 1.96095e21i | 0.132541 | + | 0.539627i | ||||
\(187\) | − | 5.08695e19i | − | 0.0133034i | ||||||
\(188\) | 1.52429e21 | − | 2.20525e21i | 0.378938 | − | 0.548223i | ||||
\(189\) | −1.21030e21 | + | 1.36212e21i | −0.286092 | + | 0.321980i | ||||
\(190\) | 3.21725e21 | − | 1.68721e21i | 0.723313 | − | 0.379324i | ||||
\(191\) | −6.52917e21 | −1.39650 | −0.698250 | − | 0.715854i | \(-0.746037\pi\) | ||||
−0.698250 | + | 0.715854i | \(0.746037\pi\) | |||||||
\(192\) | −4.34481e21 | − | 2.29387e21i | −0.884320 | − | 0.466882i | ||||
\(193\) | −7.77338e21 | −1.50597 | −0.752983 | − | 0.658040i | \(-0.771386\pi\) | ||||
−0.752983 | + | 0.658040i | \(0.771386\pi\) | |||||||
\(194\) | 7.29760e21 | − | 3.82705e21i | 1.34606 | − | 0.705908i | ||||
\(195\) | 3.84762e19 | − | 1.55777e20i | 0.00675870 | − | 0.0273636i | ||||
\(196\) | 2.76770e21 | − | 4.00414e21i | 0.463113 | − | 0.670003i | ||||
\(197\) | − | 9.04179e21i | − | 1.44154i | −0.693176 | − | 0.720768i | \(-0.743789\pi\) | ||
0.693176 | − | 0.720768i | \(-0.256211\pi\) | |||||||
\(198\) | 1.37442e20 | + | 1.78862e17i | 0.0208833 | + | 2.71769e-5i | ||||
\(199\) | − | 1.03235e22i | − | 1.49528i | −0.664107 | − | 0.747638i | \(-0.731188\pi\) | ||
0.664107 | − | 0.747638i | \(-0.268812\pi\) | |||||||
\(200\) | −6.59734e20 | + | 5.38945e21i | −0.0911137 | + | 0.744320i | ||||
\(201\) | −2.96025e21 | + | 1.19850e22i | −0.389912 | + | 1.57862i | ||||
\(202\) | −3.37613e21 | − | 6.43777e21i | −0.424210 | − | 0.808904i | ||||
\(203\) | −6.01676e21 | −0.721358 | ||||||||
\(204\) | 3.68709e21 | + | 4.17142e21i | 0.421888 | + | 0.477307i | ||||
\(205\) | 4.70149e21 | 0.513539 | ||||||||
\(206\) | 7.71738e21 | + | 1.47159e22i | 0.804881 | + | 1.53478i | ||||
\(207\) | 1.26893e22 | + | 6.67566e21i | 1.26392 | + | 0.664930i | ||||
\(208\) | −2.09319e20 | − | 5.54102e20i | −0.0199163 | − | 0.0527216i | ||||
\(209\) | 3.75143e20i | 0.0341042i | ||||||||
\(210\) | −2.40789e21 | + | 5.91415e20i | −0.209196 | + | 0.0513817i | ||||
\(211\) | 4.72896e21i | 0.392720i | 0.980532 | + | 0.196360i | \(0.0629121\pi\) | ||||
−0.980532 | + | 0.196360i | \(0.937088\pi\) | |||||||
\(212\) | −2.30545e21 | − | 1.59355e21i | −0.183048 | − | 0.126525i | ||||
\(213\) | 1.64074e22 | + | 4.05256e21i | 1.24576 | + | 0.307697i | ||||
\(214\) | −8.71745e21 | + | 4.57165e21i | −0.633080 | + | 0.332003i | ||||
\(215\) | 1.39507e21 | 0.0969239 | ||||||||
\(216\) | −1.12835e22 | + | 9.94731e21i | −0.750126 | + | 0.661294i | ||||
\(217\) | 3.76164e21 | 0.239337 | ||||||||
\(218\) | 1.92319e22 | − | 1.00857e22i | 1.17135 | − | 0.614284i | ||||
\(219\) | 2.33867e22 | + | 5.77642e21i | 1.36380 | + | 0.336852i | ||||
\(220\) | 1.53847e20 | + | 1.06341e20i | 0.00859160 | + | 0.00593860i | ||||
\(221\) | 6.71188e20i | 0.0359019i | ||||||||
\(222\) | −7.01870e21 | + | 1.72390e21i | −0.359669 | + | 0.0883403i | ||||
\(223\) | 8.20124e21i | 0.402701i | 0.979519 | + | 0.201351i | \(0.0645331\pi\) | ||||
−0.979519 | + | 0.201351i | \(0.935467\pi\) | |||||||
\(224\) | −6.08053e21 | + | 6.84106e21i | −0.286144 | + | 0.321934i | ||||
\(225\) | 1.47119e22 | + | 7.73971e21i | 0.663642 | + | 0.349133i | ||||
\(226\) | −1.51598e22 | − | 2.89074e22i | −0.655637 | − | 1.25020i | ||||
\(227\) | −1.82946e22 | −0.758713 | −0.379357 | − | 0.925251i | \(-0.623855\pi\) | ||||
−0.379357 | + | 0.925251i | \(0.623855\pi\) | |||||||
\(228\) | −2.71909e22 | − | 3.07627e22i | −1.08154 | − | 1.22361i | ||||
\(229\) | 9.76485e21 | 0.372588 | 0.186294 | − | 0.982494i | \(-0.440352\pi\) | ||||
0.186294 | + | 0.982494i | \(0.440352\pi\) | |||||||
\(230\) | 9.06132e21 | + | 1.72786e22i | 0.331724 | + | 0.632548i | ||||
\(231\) | 6.13960e19 | − | 2.48571e20i | 0.00215688 | − | 0.00873246i | ||||
\(232\) | −4.93016e22 | − | 6.03511e21i | −1.66236 | − | 0.203493i | ||||
\(233\) | − | 3.04179e22i | − | 0.984573i | −0.870433 | − | 0.492287i | \(-0.836161\pi\) | ||
0.870433 | − | 0.492287i | \(-0.163839\pi\) | |||||||
\(234\) | −1.81345e21 | − | 2.35996e18i | −0.0563579 | − | 7.33423e-5i | ||||
\(235\) | − | 1.11682e22i | − | 0.333303i | ||||||
\(236\) | −1.78683e22 | + | 2.58507e22i | −0.512175 | + | 0.740982i | ||||
\(237\) | 8.33706e21 | − | 3.37539e22i | 0.229564 | − | 0.929425i | ||||
\(238\) | 9.18502e21 | − | 4.81686e21i | 0.242996 | − | 0.127433i | ||||
\(239\) | −5.36873e22 | −1.36487 | −0.682435 | − | 0.730946i | \(-0.739079\pi\) | ||||
−0.682435 | + | 0.730946i | \(0.739079\pi\) | |||||||
\(240\) | −2.03236e22 | + | 2.43084e21i | −0.496584 | + | 0.0593951i | ||||
\(241\) | 6.69429e20 | 0.0157233 | 0.00786163 | − | 0.999969i | \(-0.497498\pi\) | ||||
0.00786163 | + | 0.999969i | \(0.497498\pi\) | |||||||
\(242\) | 3.92010e22 | − | 2.05580e22i | 0.885221 | − | 0.464233i | ||||
\(243\) | 1.62255e22 | + | 4.31002e22i | 0.352322 | + | 0.935879i | ||||
\(244\) | 2.55860e22 | − | 3.70161e22i | 0.534316 | − | 0.773015i | ||||
\(245\) | − | 2.02785e22i | − | 0.407341i | ||||||
\(246\) | −1.26740e22 | − | 5.16012e22i | −0.244924 | − | 0.997186i | ||||
\(247\) | − | 4.94976e21i | − | 0.0920371i | ||||||
\(248\) | 3.08230e22 | + | 3.77310e21i | 0.551549 | + | 0.0675162i | ||||
\(249\) | −1.52444e22 | − | 3.76530e21i | −0.262553 | − | 0.0648494i | ||||
\(250\) | 2.45155e22 | + | 4.67472e22i | 0.406453 | + | 0.775043i | ||||
\(251\) | −1.58371e22 | −0.252798 | −0.126399 | − | 0.991979i | \(-0.540342\pi\) | ||||
−0.126399 | + | 0.991979i | \(0.540342\pi\) | |||||||
\(252\) | 1.29821e22 | + | 2.48335e22i | 0.199545 | + | 0.381709i | ||||
\(253\) | −2.01474e21 | −0.0298246 | ||||||||
\(254\) | 1.48602e22 | + | 2.83362e22i | 0.211888 | + | 0.404037i | ||||
\(255\) | 2.25171e22 | + | 5.56162e21i | 0.309300 | + | 0.0763959i | ||||
\(256\) | −5.66860e22 | + | 4.99568e22i | −0.750233 | + | 0.661173i | ||||
\(257\) | 2.84469e22i | 0.362802i | 0.983409 | + | 0.181401i | \(0.0580633\pi\) | ||||
−0.983409 | + | 0.181401i | \(0.941937\pi\) | |||||||
\(258\) | −3.76077e21 | − | 1.53116e22i | −0.0462263 | − | 0.188206i | ||||
\(259\) | 1.34638e22i | 0.159521i | ||||||||
\(260\) | −2.02991e21 | − | 1.40309e21i | −0.0231862 | − | 0.0160265i | ||||
\(261\) | −7.08012e22 | + | 1.34581e23i | −0.779751 | + | 1.48217i | ||||
\(262\) | 5.81092e22 | − | 3.04739e22i | 0.617138 | − | 0.323643i | ||||
\(263\) | 6.76401e22 | 0.692827 | 0.346413 | − | 0.938082i | \(-0.387399\pi\) | ||||
0.346413 | + | 0.938082i | \(0.387399\pi\) | |||||||
\(264\) | 7.52410e20 | − | 1.97522e21i | 0.00743391 | − | 0.0195154i | ||||
\(265\) | −1.16757e22 | −0.111288 | ||||||||
\(266\) | −6.77360e22 | + | 3.55225e22i | −0.622937 | + | 0.326684i | ||||
\(267\) | 4.33709e22 | − | 1.75594e23i | 0.384894 | − | 1.55830i | ||||
\(268\) | 1.56175e23 | + | 1.07950e23i | 1.33762 | + | 0.924576i | ||||
\(269\) | 8.86687e22i | 0.733034i | 0.930411 | + | 0.366517i | \(0.119450\pi\) | ||||
−0.930411 | + | 0.366517i | \(0.880550\pi\) | |||||||
\(270\) | −1.51059e22 | + | 6.08183e22i | −0.120556 | + | 0.485376i | ||||
\(271\) | − | 8.36258e22i | − | 0.644365i | −0.946678 | − | 0.322182i | \(-0.895584\pi\) | ||
0.946678 | − | 0.322182i | \(-0.104416\pi\) | |||||||
\(272\) | 8.00939e22 | − | 3.02565e22i | 0.595930 | − | 0.225120i | ||||
\(273\) | −8.10077e20 | + | 3.27972e21i | −0.00582078 | + | 0.0235663i | ||||
\(274\) | 5.41483e22 | + | 1.03253e23i | 0.375798 | + | 0.716590i | ||||
\(275\) | −2.33588e21 | −0.0156599 | ||||||||
\(276\) | 1.65214e23 | − | 1.46031e23i | 1.07006 | − | 0.945823i | ||||
\(277\) | −1.68159e23 | −1.05236 | −0.526178 | − | 0.850374i | \(-0.676376\pi\) | ||||
−0.526178 | + | 0.850374i | \(0.676376\pi\) | |||||||
\(278\) | −3.76046e22 | − | 7.17062e22i | −0.227413 | − | 0.433642i | ||||
\(279\) | 4.42644e22 | − | 8.41391e22i | 0.258711 | − | 0.491765i | ||||
\(280\) | −4.63307e21 | + | 3.78482e22i | −0.0261738 | + | 0.213818i | ||||
\(281\) | − | 1.17721e23i | − | 0.642898i | −0.946927 | − | 0.321449i | \(-0.895830\pi\) | ||
0.946927 | − | 0.321449i | \(-0.104170\pi\) | |||||||
\(282\) | −1.22577e23 | + | 3.01067e22i | −0.647204 | + | 0.158963i | ||||
\(283\) | 1.93382e23i | 0.987290i | 0.869664 | + | 0.493645i | \(0.164336\pi\) | ||||
−0.869664 | + | 0.493645i | \(0.835664\pi\) | |||||||
\(284\) | 1.47783e23 | − | 2.13803e23i | 0.729624 | − | 1.05557i | ||||
\(285\) | −1.66055e23 | − | 4.10149e22i | −0.792913 | − | 0.195846i | ||||
\(286\) | 2.25670e20 | − | 1.18347e20i | 0.00104231 | − | 0.000546614i | ||||
\(287\) | −9.89851e22 | −0.442274 | ||||||||
\(288\) | 8.14670e22 | + | 2.16508e23i | 0.352171 | + | 0.935936i | ||||
\(289\) | 1.42054e23 | 0.594189 | ||||||||
\(290\) | −1.83254e23 | + | 9.61033e22i | −0.741777 | + | 0.389007i | ||||
\(291\) | −3.76658e23 | − | 9.30329e22i | −1.47558 | − | 0.364463i | ||||
\(292\) | 2.10646e23 | − | 3.04749e23i | 0.798759 | − | 1.15559i | ||||
\(293\) | − | 1.04801e22i | − | 0.0384699i | −0.999815 | − | 0.0192350i | \(-0.993877\pi\) | ||
0.999815 | − | 0.0192350i | \(-0.00612305\pi\) | |||||||
\(294\) | −2.22567e23 | + | 5.46658e22i | −0.790971 | + | 0.194275i | ||||
\(295\) | 1.30918e23i | 0.450494i | ||||||||
\(296\) | −1.35048e22 | + | 1.10323e23i | −0.0450005 | + | 0.367615i | ||||
\(297\) | −4.83749e21 | − | 4.29830e21i | −0.0156111 | − | 0.0138711i | ||||
\(298\) | 1.03887e23 | + | 1.98097e23i | 0.324718 | + | 0.619188i | ||||
\(299\) | 2.65831e22 | 0.0804878 | ||||||||
\(300\) | 1.91548e23 | − | 1.69308e23i | 0.561856 | − | 0.496621i | ||||
\(301\) | −2.93718e22 | −0.0834736 | ||||||||
\(302\) | −2.07324e23 | − | 3.95335e23i | −0.570931 | − | 1.08868i | ||||
\(303\) | −8.20713e22 | + | 3.32278e23i | −0.219021 | + | 0.886742i | ||||
\(304\) | −5.90662e23 | + | 2.23130e23i | −1.52771 | + | 0.577111i | ||||
\(305\) | − | 1.87464e23i | − | 0.469969i | ||||||
\(306\) | 3.41126e20 | − | 2.62129e23i | 0.000829013 | − | 0.637033i | ||||
\(307\) | − | 1.26257e22i | − | 0.0297468i | −0.999889 | − | 0.0148734i | \(-0.995265\pi\) | ||
0.999889 | − | 0.0148734i | \(-0.00473452\pi\) | |||||||
\(308\) | −3.23910e21 | − | 2.23890e21i | −0.00739932 | − | 0.00511449i | ||||
\(309\) | 1.87604e23 | − | 7.59544e23i | 0.415563 | − | 1.68247i | ||||
\(310\) | 1.14569e23 | − | 6.00831e22i | 0.246112 | − | 0.129067i | ||||
\(311\) | 6.08260e23 | 1.26726 | 0.633629 | − | 0.773637i | \(-0.281564\pi\) | ||||
0.633629 | + | 0.773637i | \(0.281564\pi\) | |||||||
\(312\) | −9.92753e21 | + | 2.60616e22i | −0.0200619 | + | 0.0526663i | ||||
\(313\) | 7.35615e23 | 1.44205 | 0.721024 | − | 0.692910i | \(-0.243672\pi\) | ||||
0.721024 | + | 0.692910i | \(0.243672\pi\) | |||||||
\(314\) | −7.54930e23 | + | 3.95905e23i | −1.43574 | + | 0.752937i | ||||
\(315\) | 1.03316e23 | + | 5.43531e22i | 0.190642 | + | 0.100294i | ||||
\(316\) | −4.39842e23 | − | 3.04024e23i | −0.787535 | − | 0.544353i | ||||
\(317\) | 1.00655e24i | 1.74893i | 0.485088 | + | 0.874465i | \(0.338788\pi\) | ||||
−0.485088 | + | 0.874465i | \(0.661212\pi\) | |||||||
\(318\) | 3.14747e22 | + | 1.28146e23i | 0.0530768 | + | 0.216097i | ||||
\(319\) | − | 2.13681e22i | − | 0.0349748i | ||||||
\(320\) | −7.59271e22 | + | 3.05482e23i | −0.120635 | + | 0.485357i | ||||
\(321\) | 4.49941e23 | + | 1.11134e23i | 0.693998 | + | 0.171415i | ||||
\(322\) | −1.90777e23 | − | 3.63783e23i | −0.285690 | − | 0.544768i | ||||
\(323\) | 7.15473e23 | 1.04033 | ||||||||
\(324\) | 7.08233e23 | + | 1.84335e21i | 0.999997 | + | 0.00260273i | ||||
\(325\) | 3.08203e22 | 0.0422615 | ||||||||
\(326\) | −5.60277e22 | − | 1.06836e23i | −0.0746167 | − | 0.142283i | ||||
\(327\) | −9.92633e23 | − | 2.45176e23i | −1.28406 | − | 0.317157i | ||||
\(328\) | −8.11088e23 | − | 9.92869e22i | −1.01922 | − | 0.124764i | ||||
\(329\) | 2.35135e23i | 0.287050i | ||||||||
\(330\) | −2.10037e21 | − | 8.55146e21i | −0.00249123 | − | 0.0101428i | ||||
\(331\) | − | 6.87132e23i | − | 0.791907i | −0.918271 | − | 0.395953i | \(-0.870414\pi\) | ||
0.918271 | − | 0.395953i | \(-0.129586\pi\) | |||||||
\(332\) | −1.37307e23 | + | 1.98648e23i | −0.153774 | + | 0.222470i | ||||
\(333\) | 3.01153e23 | + | 1.58433e23i | 0.327769 | + | 0.172435i | ||||
\(334\) | 3.25361e23 | − | 1.70628e23i | 0.344171 | − | 0.180492i | ||||
\(335\) | 7.90932e23 | 0.813230 | ||||||||
\(336\) | 4.27892e23 | − | 5.11790e22i | 0.427672 | − | 0.0511527i | ||||
\(337\) | −3.34020e23 | −0.324555 | −0.162278 | − | 0.986745i | \(-0.551884\pi\) | ||||
−0.162278 | + | 0.986745i | \(0.551884\pi\) | |||||||
\(338\) | 9.34476e23 | − | 4.90063e23i | 0.882794 | − | 0.462960i | ||||
\(339\) | −3.68524e23 | + | 1.49203e24i | −0.338508 | + | 1.37050i | ||||
\(340\) | 2.02813e23 | − | 2.93417e23i | 0.181153 | − | 0.262081i | ||||
\(341\) | 1.33592e22i | 0.0116042i | ||||||||
\(342\) | −2.51568e21 | + | 1.93310e24i | −0.00212523 | + | 1.63308i | ||||
\(343\) | 9.51135e23i | 0.781534i | ||||||||
\(344\) | −2.40674e23 | − | 2.94614e22i | −0.192364 | − | 0.0235477i | ||||
\(345\) | 2.20274e23 | − | 8.91814e23i | 0.171270 | − | 0.693415i | ||||
\(346\) | 2.70091e22 | + | 5.15022e22i | 0.0204309 | + | 0.0389586i | ||||
\(347\) | −6.12663e23 | −0.450912 | −0.225456 | − | 0.974253i | \(-0.572387\pi\) | ||||
−0.225456 | + | 0.974253i | \(0.572387\pi\) | |||||||
\(348\) | 1.54879e24 | + | 1.75224e24i | 1.10915 | + | 1.25485i | ||||
\(349\) | −3.04085e23 | −0.211911 | −0.105956 | − | 0.994371i | \(-0.533790\pi\) | ||||
−0.105956 | + | 0.994371i | \(0.533790\pi\) | |||||||
\(350\) | −2.21186e23 | − | 4.21767e23i | −0.150007 | − | 0.286040i | ||||
\(351\) | 6.38274e22 | + | 5.67131e22i | 0.0421298 | + | 0.0374340i | ||||
\(352\) | −2.42956e22 | − | 2.15946e22i | −0.0156089 | − | 0.0138736i | ||||
\(353\) | − | 8.06696e21i | − | 0.00504488i | −0.999997 | − | 0.00252244i | \(-0.999197\pi\) | ||
0.999997 | − | 0.00252244i | \(-0.000802918\pi\) | |||||||
\(354\) | 1.43689e24 | − | 3.52922e23i | 0.874766 | − | 0.214856i | ||||
\(355\) | − | 1.08278e24i | − | 0.641756i | ||||||
\(356\) | −2.28814e24 | − | 1.58159e24i | −1.32041 | − | 0.912679i | ||||
\(357\) | −4.74075e23 | − | 1.17094e23i | −0.266378 | − | 0.0657943i | ||||
\(358\) | 1.29182e24 | − | 6.77464e23i | 0.706828 | − | 0.370679i | ||||
\(359\) | 4.18286e23 | 0.222882 | 0.111441 | − | 0.993771i | \(-0.464453\pi\) | ||||
0.111441 | + | 0.993771i | \(0.464453\pi\) | |||||||
\(360\) | 7.92057e23 | + | 5.49003e23i | 0.411039 | + | 0.284905i | ||||
\(361\) | −3.29792e24 | −1.66695 | ||||||||
\(362\) | −2.28241e23 | + | 1.19696e23i | −0.112373 | + | 0.0589314i | ||||
\(363\) | −2.02332e24 | − | 4.99751e23i | −0.970402 | − | 0.239685i | ||||
\(364\) | 4.27376e22 | + | 2.95407e22i | 0.0199686 | + | 0.0138025i | ||||
\(365\) | − | 1.54337e24i | − | 0.702565i | ||||||
\(366\) | −2.05751e24 | + | 5.05356e23i | −0.912582 | + | 0.224144i | ||||
\(367\) | − | 4.37679e24i | − | 1.89160i | −0.324755 | − | 0.945798i | \(-0.605282\pi\) | ||
0.324755 | − | 0.945798i | \(-0.394718\pi\) | |||||||
\(368\) | −1.19834e24 | − | 3.17221e24i | −0.504692 | − | 1.33600i | ||||
\(369\) | −1.16479e24 | + | 2.21407e24i | −0.478076 | + | 0.908742i | ||||
\(370\) | 2.15051e23 | + | 4.10070e23i | 0.0860253 | + | 0.164037i | ||||
\(371\) | 2.45820e23 | 0.0958439 | ||||||||
\(372\) | −9.68293e23 | − | 1.09549e24i | −0.368001 | − | 0.416341i | ||||
\(373\) | −3.67881e23 | −0.136293 | −0.0681465 | − | 0.997675i | \(-0.521709\pi\) | ||||
−0.0681465 | + | 0.997675i | \(0.521709\pi\) | |||||||
\(374\) | 1.71068e22 | + | 3.26200e22i | 0.00617856 | + | 0.0117816i | ||||
\(375\) | 5.95953e23 | − | 2.41281e24i | 0.209853 | − | 0.849622i | ||||
\(376\) | −2.35852e23 | + | 1.92671e24i | −0.0809759 | + | 0.661503i | ||||
\(377\) | 2.81938e23i | 0.0943866i | ||||||||
\(378\) | 3.18039e23 | − | 1.28047e24i | 0.103826 | − | 0.418020i | ||||
\(379\) | 3.49425e24i | 1.11245i | 0.831031 | + | 0.556227i | \(0.187751\pi\) | ||||
−0.831031 | + | 0.556227i | \(0.812249\pi\) | |||||||
\(380\) | −1.49567e24 | + | 2.16384e24i | −0.464399 | + | 0.671864i | ||||
\(381\) | 3.61242e23 | − | 1.46254e24i | 0.109398 | − | 0.442916i | ||||
\(382\) | 4.18681e24 | − | 2.19567e24i | 1.23675 | − | 0.648583i | ||||
\(383\) | 1.23234e24 | 0.355094 | 0.177547 | − | 0.984112i | \(-0.443184\pi\) | ||||
0.177547 | + | 0.984112i | \(0.443184\pi\) | |||||||
\(384\) | 3.55750e24 | + | 9.83419e21i | 0.999996 | + | 0.00276434i | ||||
\(385\) | −1.64040e22 | −0.00449856 | ||||||||
\(386\) | 4.98466e24 | − | 2.61409e24i | 1.33369 | − | 0.699424i | ||||
\(387\) | −3.45628e23 | + | 6.56980e23i | −0.0902308 | + | 0.171513i | ||||
\(388\) | −3.39259e24 | + | 4.90818e24i | −0.864230 | + | 1.25031i | ||||
\(389\) | 4.53825e24i | 1.12815i | 0.825723 | + | 0.564076i | \(0.190768\pi\) | ||||
−0.825723 | + | 0.564076i | \(0.809232\pi\) | |||||||
\(390\) | 2.77129e22 | + | 1.12831e23i | 0.00672308 | + | 0.0273724i | ||||
\(391\) | 3.84252e24i | 0.909781i | ||||||||
\(392\) | −4.28245e23 | + | 3.49839e24i | −0.0989634 | + | 0.808445i | ||||
\(393\) | −2.99924e24 | − | 7.40799e23i | −0.676522 | − | 0.167098i | ||||
\(394\) | 3.04064e24 | + | 5.79803e24i | 0.669500 | + | 1.27663i | ||||
\(395\) | −2.22753e24 | −0.478797 | ||||||||
\(396\) | −8.81945e22 | + | 4.61052e22i | −0.0185070 | + | 0.00967489i | ||||
\(397\) | 4.21065e24 | 0.862660 | 0.431330 | − | 0.902194i | \(-0.358045\pi\) | ||||
0.431330 | + | 0.902194i | \(0.358045\pi\) | |||||||
\(398\) | 3.47165e24 | + | 6.61990e24i | 0.694459 | + | 1.32423i | ||||
\(399\) | 3.49612e24 | + | 8.63527e23i | 0.682879 | + | 0.168668i | ||||
\(400\) | −1.38935e24 | − | 3.67784e24i | −0.264998 | − | 0.701492i | ||||
\(401\) | − | 2.73660e23i | − | 0.0509730i | −0.999675 | − | 0.0254865i | \(-0.991887\pi\) | ||
0.999675 | − | 0.0254865i | \(-0.00811348\pi\) | |||||||
\(402\) | −2.13216e24 | − | 8.68088e24i | −0.387857 | − | 1.57912i | ||||
\(403\) | − | 1.76265e23i | − | 0.0313162i | ||||||
\(404\) | 4.32987e24 | + | 2.99286e24i | 0.751367 | + | 0.519353i | ||||
\(405\) | 2.43151e24 | − | 1.67135e24i | 0.412148 | − | 0.283299i | ||||
\(406\) | 3.85824e24 | − | 2.02336e24i | 0.638839 | − | 0.335024i | ||||
\(407\) | −4.78157e22 | −0.00773434 | ||||||||
\(408\) | −3.76714e24 | − | 1.43500e24i | −0.595305 | − | 0.226767i | ||||
\(409\) | 3.26715e24 | 0.504426 | 0.252213 | − | 0.967672i | \(-0.418842\pi\) | ||||
0.252213 | + | 0.967672i | \(0.418842\pi\) | |||||||
\(410\) | −3.01482e24 | + | 1.58105e24i | −0.454794 | + | 0.238506i | ||||
\(411\) | 1.31631e24 | − | 5.32927e24i | 0.194026 | − | 0.785544i | ||||
\(412\) | −9.89751e24 | − | 6.84127e24i | −1.42562 | − | 0.985401i | ||||
\(413\) | − | 2.75634e24i | − | 0.387978i | ||||||
\(414\) | −1.03819e25 | − | 1.35107e22i | −1.42815 | − | 0.00185855i | ||||
\(415\) | 1.00603e24i | 0.135255i | ||||||||
\(416\) | 3.20563e23 | + | 2.84926e23i | 0.0421237 | + | 0.0374408i | ||||
\(417\) | −9.14140e23 | + | 3.70104e24i | −0.117414 | + | 0.475369i | ||||
\(418\) | −1.26156e23 | − | 2.40560e23i | −0.0158392 | − | 0.0302029i | ||||
\(419\) | −6.97708e24 | −0.856328 | −0.428164 | − | 0.903701i | \(-0.640839\pi\) | ||||
−0.428164 | + | 0.903701i | \(0.640839\pi\) | |||||||
\(420\) | 1.34517e24 | − | 1.18899e24i | 0.161402 | − | 0.142662i | ||||
\(421\) | 1.17558e25 | 1.37902 | 0.689512 | − | 0.724274i | \(-0.257825\pi\) | ||||
0.689512 | + | 0.724274i | \(0.257825\pi\) | |||||||
\(422\) | −1.59029e24 | − | 3.03244e24i | −0.182393 | − | 0.347795i | ||||
\(423\) | 5.25943e24 | + | 2.76692e24i | 0.589801 | + | 0.310286i | ||||
\(424\) | 2.01426e24 | + | 2.46569e23i | 0.220871 | + | 0.0270373i | ||||
\(425\) | 4.45499e24i | 0.477696i | ||||||||
\(426\) | −1.18840e25 | + | 2.91890e24i | −1.24616 | + | 0.306075i | ||||
\(427\) | 3.94686e24i | 0.404750i | ||||||||
\(428\) | 4.05266e24 | − | 5.86313e24i | 0.406466 | − | 0.588049i | ||||
\(429\) | −1.16477e22 | − | 2.87693e21i | −0.00114261 | − | 0.000282219i | ||||
\(430\) | −8.94587e23 | + | 4.69144e23i | −0.0858365 | + | 0.0450149i | ||||
\(431\) | 2.95422e24 | 0.277274 | 0.138637 | − | 0.990343i | \(-0.455728\pi\) | ||||
0.138637 | + | 0.990343i | \(0.455728\pi\) | |||||||
\(432\) | 3.89039e24 | − | 1.01732e25i | 0.357189 | − | 0.934032i | ||||
\(433\) | 2.96147e24 | 0.265995 | 0.132997 | − | 0.991116i | \(-0.457540\pi\) | ||||
0.132997 | + | 0.991116i | \(0.457540\pi\) | |||||||
\(434\) | −2.41214e24 | + | 1.26499e24i | −0.211958 | + | 0.111156i | ||||
\(435\) | 9.45848e24 | + | 2.33620e24i | 0.813155 | + | 0.200846i | ||||
\(436\) | −8.94072e24 | + | 1.29349e25i | −0.752057 | + | 1.08803i | ||||
\(437\) | − | 2.83371e25i | − | 2.33229i | ||||||
\(438\) | −1.69392e25 | + | 4.16053e24i | −1.36424 | + | 0.335077i | ||||
\(439\) | 1.23072e25i | 0.969944i | 0.874530 | + | 0.484972i | \(0.161170\pi\) | ||||
−0.874530 | + | 0.484972i | \(0.838830\pi\) | |||||||
\(440\) | −1.34415e23 | − | 1.64540e22i | −0.0103669 | − | 0.00126903i | ||||
\(441\) | 9.54973e24 | + | 5.02398e24i | 0.720816 | + | 0.379211i | ||||
\(442\) | −2.25712e23 | − | 4.30398e23i | −0.0166741 | − | 0.0317950i | ||||
\(443\) | −1.94166e25 | −1.40391 | −0.701954 | − | 0.712222i | \(-0.747689\pi\) | ||||
−0.701954 | + | 0.712222i | \(0.747689\pi\) | |||||||
\(444\) | 3.92100e24 | − | 3.46575e24i | 0.277497 | − | 0.245278i | ||||
\(445\) | −1.15880e25 | −0.802766 | ||||||||
\(446\) | −2.75797e24 | − | 5.25903e24i | −0.187029 | − | 0.356635i | ||||
\(447\) | 2.52542e24 | − | 1.02245e25i | 0.167653 | − | 0.678770i | ||||
\(448\) | 1.59857e24 | − | 6.43162e24i | 0.103894 | − | 0.418003i | ||||
\(449\) | − | 2.06078e25i | − | 1.31127i | −0.755079 | − | 0.655634i | \(-0.772401\pi\) | ||
0.755079 | − | 0.655634i | \(-0.227599\pi\) | |||||||
\(450\) | −1.20367e25 | − | 1.56642e22i | −0.749876 | − | 0.000975863i | ||||
\(451\) | − | 3.51539e23i | − | 0.0214435i | ||||||
\(452\) | 1.94424e25 | + | 1.34388e25i | 1.16127 | + | 0.802685i | ||||
\(453\) | −5.03989e24 | + | 2.04048e25i | −0.294774 | + | 1.19344i | ||||
\(454\) | 1.17314e25 | − | 6.15224e24i | 0.671922 | − | 0.352373i | ||||
\(455\) | 2.16440e23 | 0.0121403 | ||||||||
\(456\) | 2.77812e25 | + | 1.05826e25i | 1.52611 | + | 0.581332i | ||||
\(457\) | −1.30246e25 | −0.700747 | −0.350374 | − | 0.936610i | \(-0.613945\pi\) | ||||
−0.350374 | + | 0.936610i | \(0.613945\pi\) | |||||||
\(458\) | −6.26169e24 | + | 3.28379e24i | −0.329966 | + | 0.173043i | ||||
\(459\) | −8.19772e24 | + | 9.22606e24i | −0.423129 | + | 0.476207i | ||||
\(460\) | −1.16211e25 | − | 8.03264e24i | −0.587555 | − | 0.406124i | ||||
\(461\) | 3.34568e25i | 1.65701i | 0.559980 | + | 0.828506i | \(0.310809\pi\) | ||||
−0.559980 | + | 0.828506i | \(0.689191\pi\) | |||||||
\(462\) | 4.42212e22 | + | 1.80042e23i | 0.00214551 | + | 0.00873526i | ||||
\(463\) | − | 2.32903e25i | − | 1.10702i | −0.832842 | − | 0.553511i | \(-0.813288\pi\) | ||
0.832842 | − | 0.553511i | \(-0.186712\pi\) | |||||||
\(464\) | 3.36441e25 | − | 1.27095e25i | 1.56671 | − | 0.591844i | ||||
\(465\) | −5.91337e24 | − | 1.46058e24i | −0.269794 | − | 0.0666379i | ||||
\(466\) | 1.02291e25 | + | 1.95054e25i | 0.457271 | + | 0.871945i | ||||
\(467\) | −3.33366e25 | −1.46020 | −0.730098 | − | 0.683343i | \(-0.760525\pi\) | ||||
−0.730098 | + | 0.683343i | \(0.760525\pi\) | |||||||
\(468\) | 1.16367e24 | − | 6.08326e23i | 0.0499450 | − | 0.0261097i | ||||
\(469\) | −1.66523e25 | −0.700377 | ||||||||
\(470\) | 3.75572e24 | + | 7.16159e24i | 0.154798 | + | 0.295175i | ||||
\(471\) | 3.89649e25 | + | 9.62416e24i | 1.57389 | + | 0.388744i | ||||
\(472\) | 2.76474e24 | − | 2.25856e25i | 0.109448 | − | 0.894091i | ||||
\(473\) | − | 1.04312e23i | − | 0.00404719i | ||||||
\(474\) | 6.00487e24 | + | 2.44483e25i | 0.228354 | + | 0.929723i | ||||
\(475\) | − | 3.28538e25i | − | 1.22461i | ||||||
\(476\) | −4.27003e24 | + | 6.17761e24i | −0.156014 | + | 0.225712i | ||||
\(477\) | 2.89264e24 | − | 5.49842e24i | 0.103602 | − | 0.196931i | ||||
\(478\) | 3.44269e25 | − | 1.80543e25i | 1.20874 | − | 0.633894i | ||||
\(479\) | 3.34473e25 | 1.15126 | 0.575630 | − | 0.817710i | \(-0.304757\pi\) | ||||
0.575630 | + | 0.817710i | \(0.304757\pi\) | |||||||
\(480\) | 1.22150e25 | − | 8.39332e24i | 0.412193 | − | 0.283232i | ||||
\(481\) | 6.30895e23 | 0.0208727 | ||||||||
\(482\) | −4.29270e23 | + | 2.25120e23i | −0.0139246 | + | 0.00730243i | ||||
\(483\) | −4.63765e24 | + | 1.87763e25i | −0.147503 | + | 0.597188i | ||||
\(484\) | −1.82242e25 | + | 2.63656e25i | −0.568352 | + | 0.822255i | ||||
\(485\) | 2.48569e25i | 0.760152i | ||||||||
\(486\) | −2.48986e25 | − | 2.21815e25i | −0.746674 | − | 0.665190i | ||||
\(487\) | − | 5.17030e25i | − | 1.52052i | −0.649622 | − | 0.760258i | \(-0.725073\pi\) | ||
0.649622 | − | 0.760258i | \(-0.274927\pi\) | |||||||
\(488\) | −3.95890e24 | + | 3.23408e25i | −0.114179 | + | 0.932743i | ||||
\(489\) | −1.36199e24 | + | 5.51424e24i | −0.0385249 | + | 0.155974i | ||||
\(490\) | 6.81939e24 | + | 1.30035e25i | 0.189183 | + | 0.360744i | ||||
\(491\) | −1.40058e24 | −0.0381096 | −0.0190548 | − | 0.999818i | \(-0.506066\pi\) | ||||
−0.0190548 | + | 0.999818i | \(0.506066\pi\) | |||||||
\(492\) | 2.54800e25 | + | 2.88270e25i | 0.680035 | + | 0.769364i | ||||
\(493\) | −4.07533e25 | −1.06688 | ||||||||
\(494\) | 1.66454e24 | + | 3.17402e24i | 0.0427453 | + | 0.0815087i | ||||
\(495\) | −1.93031e23 | + | 3.66920e23i | −0.00486271 | + | 0.00924319i | ||||
\(496\) | −2.10340e25 | + | 7.94588e24i | −0.519812 | + | 0.196366i | ||||
\(497\) | 2.27968e25i | 0.552698i | ||||||||
\(498\) | 1.10417e25 | − | 2.71200e24i | 0.262637 | − | 0.0645076i | ||||
\(499\) | 4.98463e25i | 1.16326i | 0.813452 | + | 0.581632i | \(0.197586\pi\) | ||||
−0.813452 | + | 0.581632i | \(0.802414\pi\) | |||||||
\(500\) | −3.14410e25 | − | 2.17323e25i | −0.719915 | − | 0.497613i | ||||
\(501\) | −1.67932e25 | − | 4.14784e24i | −0.377289 | − | 0.0931888i | ||||
\(502\) | 1.01555e25 | − | 5.32580e24i | 0.223880 | − | 0.117408i | ||||
\(503\) | 2.32816e25 | 0.503637 | 0.251818 | − | 0.967775i | \(-0.418971\pi\) | ||||
0.251818 | + | 0.967775i | \(0.418971\pi\) | |||||||
\(504\) | −1.66760e25 | − | 1.15587e25i | −0.353998 | − | 0.245369i | ||||
\(505\) | 2.19281e25 | 0.456808 | ||||||||
\(506\) | 1.29195e24 | − | 6.77532e23i | 0.0264129 | − | 0.0138516i | ||||
\(507\) | −4.82320e25 | − | 1.19131e25i | −0.967741 | − | 0.239028i | ||||
\(508\) | −1.90582e25 | − | 1.31732e25i | −0.375298 | − | 0.259410i | ||||
\(509\) | − | 5.50733e25i | − | 1.06444i | −0.846605 | − | 0.532221i | \(-0.821357\pi\) | ||
0.846605 | − | 0.532221i | \(-0.178643\pi\) | |||||||
\(510\) | −1.63093e25 | + | 4.00582e24i | −0.309400 | + | 0.0759933i | ||||
\(511\) | 3.24940e25i | 0.605069i | ||||||||
\(512\) | 1.95500e25 | − | 5.10975e25i | 0.357340 | − | 0.933974i | ||||
\(513\) | 6.04551e25 | − | 6.80387e25i | 1.08472 | − | 1.22079i | ||||
\(514\) | −9.56632e24 | − | 1.82415e25i | −0.168498 | − | 0.321300i | ||||
\(515\) | −5.01248e25 | −0.866730 | ||||||||
\(516\) | 7.56068e24 | + | 8.55384e24i | 0.128348 | + | 0.145208i | ||||
\(517\) | −8.35068e23 | −0.0139175 | ||||||||
\(518\) | −4.52769e24 | − | 8.63362e24i | −0.0740874 | − | 0.141273i | ||||
\(519\) | 6.56572e23 | − | 2.65823e24i | 0.0105485 | − | 0.0427074i | ||||
\(520\) | 1.77352e24 | + | 2.17100e23i | 0.0279771 | + | 0.00342474i | ||||
\(521\) | − | 2.98947e25i | − | 0.463059i | −0.972828 | − | 0.231529i | \(-0.925627\pi\) | ||
0.972828 | − | 0.231529i | \(-0.0743729\pi\) | |||||||
\(522\) | 1.43293e23 | − | 1.10109e26i | 0.00217949 | − | 1.67477i | ||||
\(523\) | 5.08283e25i | 0.759171i | 0.925157 | + | 0.379585i | \(0.123933\pi\) | ||||
−0.925157 | + | 0.379585i | \(0.876067\pi\) | |||||||
\(524\) | −2.70144e25 | + | 3.90827e25i | −0.396231 | + | 0.573241i | ||||
\(525\) | −5.37686e24 | + | 2.17691e25i | −0.0774489 | + | 0.313564i | ||||
\(526\) | −4.33741e25 | + | 2.27465e25i | −0.613572 | + | 0.321773i | ||||
\(527\) | 2.54787e25 | 0.353978 | ||||||||
\(528\) | 1.81759e23 | + | 1.51963e24i | 0.00248012 | + | 0.0207356i | ||||
\(529\) | 7.75717e25 | 1.03962 | ||||||||
\(530\) | 7.48701e24 | − | 3.92638e24i | 0.0985570 | − | 0.0516858i | ||||
\(531\) | −6.16529e25 | − | 3.24348e25i | −0.797179 | − | 0.419385i | ||||
\(532\) | 3.14898e25 | − | 4.55575e25i | 0.399954 | − | 0.578628i | ||||
\(533\) | 4.63831e24i | 0.0578697i | ||||||||
\(534\) | 3.12384e25 | + | 1.27184e26i | 0.382866 | + | 1.55880i | ||||
\(535\) | − | 2.96931e25i | − | 0.357515i | ||||||
\(536\) | −1.36449e26 | − | 1.67030e25i | −1.61401 | − | 0.197574i | ||||
\(537\) | −6.66759e25 | − | 1.64687e25i | −0.774843 | − | 0.191383i | ||||
\(538\) | −2.98181e25 | − | 5.68586e25i | −0.340447 | − | 0.649180i | ||||
\(539\) | −1.51626e24 | −0.0170091 | ||||||||
\(540\) | −1.07658e25 | − | 4.40795e25i | −0.118660 | − | 0.485843i | ||||
\(541\) | 7.99502e25 | 0.865856 | 0.432928 | − | 0.901429i | \(-0.357480\pi\) | ||||
0.432928 | + | 0.901429i | \(0.357480\pi\) | |||||||
\(542\) | 2.81223e25 | + | 5.36249e25i | 0.299266 | + | 0.570654i | ||||
\(543\) | 1.17804e25 | + | 2.90971e24i | 0.123186 | + | 0.0304265i | ||||
\(544\) | −4.11852e25 | + | 4.63365e25i | −0.423206 | + | 0.476139i | ||||
\(545\) | 6.55071e25i | 0.661488i | ||||||||
\(546\) | −5.83468e23 | − | 2.37553e24i | −0.00579011 | − | 0.0235739i | ||||
\(547\) | 1.32405e26i | 1.29129i | 0.763637 | + | 0.645646i | \(0.223412\pi\) | ||||
−0.763637 | + | 0.645646i | \(0.776588\pi\) | |||||||
\(548\) | −6.94450e25 | − | 4.80011e25i | −0.665619 | − | 0.460083i | ||||
\(549\) | 8.82822e25 | + | 4.64440e25i | 0.831641 | + | 0.437515i | ||||
\(550\) | 1.49788e24 | − | 7.85526e23i | 0.0138685 | − | 0.00727302i | ||||
\(551\) | 3.00540e26 | 2.73503 | ||||||||
\(552\) | −5.68346e25 | + | 1.49202e26i | −0.508384 | + | 1.33460i | ||||
\(553\) | 4.68984e25 | 0.412353 | ||||||||
\(554\) | 1.07832e26 | − | 5.65498e25i | 0.931974 | − | 0.488751i | ||||
\(555\) | 5.22774e24 | − | 2.11653e25i | 0.0444151 | − | 0.179822i | ||||
\(556\) | 4.82277e25 | + | 3.33355e25i | 0.402797 | + | 0.278418i | ||||
\(557\) | 2.47116e24i | 0.0202897i | 0.999949 | + | 0.0101449i | \(0.00322927\pi\) | ||||
−0.999949 | + | 0.0101449i | \(0.996771\pi\) | |||||||
\(558\) | −8.95855e22 | + | 6.88396e25i | −0.000723124 | + | 0.555665i | ||||
\(559\) | 1.37633e24i | 0.0109222i | ||||||||
\(560\) | −9.75690e24 | − | 2.58281e25i | −0.0761247 | − | 0.201514i | ||||
\(561\) | 4.15853e23 | − | 1.68364e24i | 0.00319001 | − | 0.0129153i | ||||
\(562\) | 3.95879e25 | + | 7.54881e25i | 0.298585 | + | 0.569355i | ||||
\(563\) | −5.43011e25 | −0.402698 | −0.201349 | − | 0.979520i | \(-0.564532\pi\) | ||||
−0.201349 | + | 0.979520i | \(0.564532\pi\) | |||||||
\(564\) | 6.84776e25 | − | 6.05268e25i | 0.499341 | − | 0.441364i | ||||
\(565\) | 9.84637e25 | 0.706018 | ||||||||
\(566\) | −6.50318e25 | − | 1.24006e26i | −0.458532 | − | 0.874351i | ||||
\(567\) | −5.11929e25 | + | 3.51886e25i | −0.354953 | + | 0.243985i | ||||
\(568\) | −2.28663e25 | + | 1.86798e26i | −0.155915 | + | 1.27369i | ||||
\(569\) | 1.70737e26i | 1.14488i | 0.819946 | + | 0.572440i | \(0.194003\pi\) | ||||
−0.819946 | + | 0.572440i | \(0.805997\pi\) | |||||||
\(570\) | 1.20275e26 | − | 2.95414e25i | 0.793168 | − | 0.194814i | ||||
\(571\) | − | 1.27254e26i | − | 0.825330i | −0.910883 | − | 0.412665i | \(-0.864598\pi\) | ||
0.910883 | − | 0.412665i | \(-0.135402\pi\) | |||||||
\(572\) | −1.04912e23 | + | 1.51780e23i | −0.000669210 | + | 0.000968170i | ||||
\(573\) | −2.16098e26 | − | 5.33752e25i | −1.35576 | − | 0.334866i | ||||
\(574\) | 6.34740e25 | − | 3.32874e25i | 0.391681 | − | 0.205408i | ||||
\(575\) | 1.76445e26 | 1.07094 | ||||||||
\(576\) | −1.25050e26 | − | 1.11439e26i | −0.746566 | − | 0.665311i | ||||
\(577\) | −1.36184e26 | −0.799751 | −0.399875 | − | 0.916570i | \(-0.630947\pi\) | ||||
−0.399875 | + | 0.916570i | \(0.630947\pi\) | |||||||
\(578\) | −9.10919e25 | + | 4.77710e25i | −0.526218 | + | 0.275962i | ||||
\(579\) | −2.57278e26 | − | 6.35465e25i | −1.46203 | − | 0.361115i | ||||
\(580\) | 8.51932e25 | − | 1.23252e26i | 0.476255 | − | 0.689015i | ||||
\(581\) | − | 2.11809e25i | − | 0.116485i | ||||||
\(582\) | 2.72817e26 | − | 6.70080e25i | 1.47606 | − | 0.362542i | ||||
\(583\) | 8.73012e23i | 0.00464696i | ||||||||
\(584\) | −3.25931e25 | + | 2.66257e26i | −0.170688 | + | 1.39437i | ||||
\(585\) | 2.54692e24 | − | 4.84125e24i | 0.0131230 | − | 0.0249446i | ||||
\(586\) | 3.52431e24 | + | 6.72031e24i | 0.0178668 | + | 0.0340692i | ||||
\(587\) | −3.62218e26 | −1.80679 | −0.903396 | − | 0.428806i | \(-0.858934\pi\) | ||||
−0.903396 | + | 0.428806i | \(0.858934\pi\) | |||||||
\(588\) | 1.24337e26 | − | 1.09901e26i | 0.610261 | − | 0.539406i | ||||
\(589\) | −1.87895e26 | −0.907446 | ||||||||
\(590\) | −4.40259e25 | − | 8.39507e25i | −0.209225 | − | 0.398961i | ||||
\(591\) | 7.39157e25 | − | 2.99259e26i | 0.345665 | − | 1.39948i | ||||
\(592\) | −2.84401e25 | − | 7.52857e25i | −0.130881 | − | 0.346463i | ||||
\(593\) | − | 1.53554e26i | − | 0.695410i | −0.937604 | − | 0.347705i | \(-0.886961\pi\) | ||
0.937604 | − | 0.347705i | \(-0.113039\pi\) | |||||||
\(594\) | 4.54750e24 | + | 1.12949e24i | 0.0202675 | + | 0.00503399i | ||||
\(595\) | 3.12857e25i | 0.137226i | ||||||||
\(596\) | −1.33235e26 | − | 9.20932e25i | −0.575145 | − | 0.397547i | ||||
\(597\) | 8.43932e25 | − | 3.41679e26i | 0.358551 | − | 1.45165i | ||||
\(598\) | −1.70464e25 | + | 8.93956e24i | −0.0712805 | + | 0.0373814i | ||||
\(599\) | 1.14623e26 | 0.471754 | 0.235877 | − | 0.971783i | \(-0.424204\pi\) | ||||
0.235877 | + | 0.971783i | \(0.424204\pi\) | |||||||
\(600\) | −6.58936e25 | + | 1.72983e26i | −0.266936 | + | 0.700756i | ||||
\(601\) | −4.40187e26 | −1.75521 | −0.877607 | − | 0.479380i | \(-0.840861\pi\) | ||||
−0.877607 | + | 0.479380i | \(0.840861\pi\) | |||||||
\(602\) | 1.88346e25 | − | 9.87736e24i | 0.0739248 | − | 0.0387681i | ||||
\(603\) | −1.95953e26 | + | 3.72473e26i | −0.757072 | + | 1.43906i | ||||
\(604\) | 2.65892e26 | + | 1.83787e26i | 1.01124 | + | 0.698980i | ||||
\(605\) | 1.33525e26i | 0.499906i | ||||||||
\(606\) | −5.91128e25 | − | 2.40672e26i | −0.217867 | − | 0.887026i | ||||
\(607\) | − | 3.90853e25i | − | 0.141815i | −0.997483 | − | 0.0709073i | \(-0.977411\pi\) | ||
0.997483 | − | 0.0709073i | \(-0.0225894\pi\) | |||||||
\(608\) | 3.03725e26 | − | 3.41714e26i | 1.08492 | − | 1.22062i | ||||
\(609\) | −1.99139e26 | − | 4.91864e25i | −0.700312 | − | 0.172974i | ||||
\(610\) | 6.30417e25 | + | 1.20211e26i | 0.218270 | + | 0.416208i | ||||
\(611\) | 1.10181e25 | 0.0375592 | ||||||||
\(612\) | 8.79319e25 | + | 1.68205e26i | 0.295126 | + | 0.564546i | ||||
\(613\) | 1.55280e26 | 0.513145 | 0.256573 | − | 0.966525i | \(-0.417407\pi\) | ||||
0.256573 | + | 0.966525i | \(0.417407\pi\) | |||||||
\(614\) | 4.24585e24 | + | 8.09619e24i | 0.0138154 | + | 0.0263440i | ||||
\(615\) | 1.55607e26 | + | 3.84342e25i | 0.498557 | + | 0.123141i | ||||
\(616\) | 2.82998e24 | + | 3.46423e23i | 0.00892824 | + | 0.00109292i | ||||
\(617\) | 1.90605e26i | 0.592142i | 0.955166 | + | 0.296071i | \(0.0956764\pi\) | ||||
−0.955166 | + | 0.296071i | \(0.904324\pi\) | |||||||
\(618\) | 1.35124e26 | + | 5.50145e26i | 0.413373 | + | 1.68301i | ||||
\(619\) | − | 1.95485e26i | − | 0.588914i | −0.955665 | − | 0.294457i | \(-0.904861\pi\) | ||
0.955665 | − | 0.294457i | \(-0.0951387\pi\) | |||||||
\(620\) | −5.32622e25 | + | 7.70563e25i | −0.158015 | + | 0.228606i | ||||
\(621\) | 3.65408e26 | + | 3.24680e26i | 1.06760 | + | 0.948605i | ||||
\(622\) | −3.90045e26 | + | 2.04550e26i | −1.12229 | + | 0.588560i | ||||
\(623\) | 2.43974e26 | 0.691365 | ||||||||
\(624\) | −2.39818e24 | − | 2.00505e25i | −0.00669311 | − | 0.0559591i | ||||
\(625\) | 1.13574e26 | 0.312190 | ||||||||
\(626\) | −4.71712e26 | + | 2.47378e26i | −1.27709 | + | 0.669738i | ||||
\(627\) | −3.06676e24 | + | 1.24162e25i | −0.00817782 | + | 0.0331092i | ||||
\(628\) | 3.50960e26 | − | 5.07746e26i | 0.921808 | − | 1.33361i | ||||
\(629\) | 9.11941e25i | 0.235931i | ||||||||
\(630\) | −8.45295e25 | − | 1.10004e23i | −0.215413 | − | 0.000280332i | ||||
\(631\) | − | 1.41529e26i | − | 0.355278i | −0.984096 | − | 0.177639i | \(-0.943154\pi\) | ||
0.984096 | − | 0.177639i | \(-0.0568459\pi\) | |||||||
\(632\) | 3.84287e26 | + | 4.70414e25i | 0.950263 | + | 0.116324i | ||||
\(633\) | −3.86588e25 | + | 1.56516e26i | −0.0941701 | + | 0.381262i | ||||
\(634\) | −3.38490e26 | − | 6.45449e26i | −0.812265 | − | 1.54887i | ||||
\(635\) | −9.65180e25 | −0.228170 | ||||||||
\(636\) | −6.32771e25 | − | 7.15891e25i | −0.147368 | − | 0.166726i | ||||
\(637\) | 2.00060e25 | 0.0459024 | ||||||||
\(638\) | 7.18582e24 | + | 1.37023e25i | 0.0162435 | + | 0.0309739i | ||||
\(639\) | 5.09912e26 | + | 2.68257e26i | 1.13563 | + | 0.597439i | ||||
\(640\) | −5.40416e25 | − | 2.21423e26i | −0.118582 | − | 0.485862i | ||||
\(641\) | − | 1.89800e26i | − | 0.410341i | −0.978726 | − | 0.205171i | \(-0.934225\pi\) | ||
0.978726 | − | 0.205171i | \(-0.0657749\pi\) | |||||||
\(642\) | −3.25897e26 | + | 8.00453e25i | −0.694221 | + | 0.170511i | ||||
\(643\) | − | 5.08915e26i | − | 1.06817i | −0.845430 | − | 0.534085i | \(-0.820656\pi\) | ||
0.845430 | − | 0.534085i | \(-0.179344\pi\) | |||||||
\(644\) | 2.44671e26 | + | 1.69119e26i | 0.506019 | + | 0.349766i | ||||
\(645\) | 4.61731e25 | + | 1.14046e25i | 0.0940962 | + | 0.0232413i | ||||
\(646\) | −4.58796e26 | + | 2.40604e26i | −0.921320 | + | 0.483164i | ||||
\(647\) | −9.80984e25 | −0.194120 | −0.0970602 | − | 0.995279i | \(-0.530944\pi\) | ||||
−0.0970602 | + | 0.995279i | \(0.530944\pi\) | |||||||
\(648\) | −4.54773e26 | + | 2.36988e26i | −0.886813 | + | 0.462129i | ||||
\(649\) | 9.78896e24 | 0.0188110 | ||||||||
\(650\) | −1.97635e25 | + | 1.03645e25i | −0.0374271 | + | 0.0196277i | ||||
\(651\) | 1.24500e26 | + | 3.07510e25i | 0.232354 | + | 0.0573904i | ||||
\(652\) | 7.18554e25 | + | 4.96672e25i | 0.132162 | + | 0.0913519i | ||||
\(653\) | − | 4.05951e26i | − | 0.735865i | −0.929852 | − | 0.367933i | \(-0.880066\pi\) | ||
0.929852 | − | 0.367933i | \(-0.119934\pi\) | |||||||
\(654\) | 7.18974e26 | − | 1.76591e26i | 1.28447 | − | 0.315486i | ||||
\(655\) | 1.97930e26i | 0.348513i | ||||||||
\(656\) | 5.53497e26 | − | 2.09091e26i | 0.960570 | − | 0.362868i | ||||
\(657\) | 7.26816e26 | + | 3.82368e26i | 1.24324 | + | 0.654049i | ||||
\(658\) | −7.90730e25 | − | 1.50780e26i | −0.133316 | − | 0.254213i | ||||
\(659\) | −6.46283e26 | −1.07402 | −0.537009 | − | 0.843577i | \(-0.680446\pi\) | ||||
−0.537009 | + | 0.843577i | \(0.680446\pi\) | |||||||
\(660\) | 4.22260e24 | + | 4.77728e24i | 0.00691692 | + | 0.00782552i | ||||
\(661\) | 3.56894e26 | 0.576269 | 0.288135 | − | 0.957590i | \(-0.406965\pi\) | ||||
0.288135 | + | 0.957590i | \(0.406965\pi\) | |||||||
\(662\) | 2.31074e26 | + | 4.40622e26i | 0.367789 | + | 0.701318i | ||||
\(663\) | −5.48689e24 | + | 2.22145e25i | −0.00860890 | + | 0.0348545i | ||||
\(664\) | 2.12455e25 | − | 1.73557e26i | 0.0328602 | − | 0.268439i | ||||
\(665\) | − | 2.30721e26i | − | 0.351788i | ||||||
\(666\) | −2.46393e26 | − | 3.20648e23i | −0.370359 | − | 0.000481973i | ||||
\(667\) | 1.61408e27i | 2.39183i | ||||||||
\(668\) | −1.51257e26 | + | 2.18830e26i | −0.220974 | + | 0.319690i | ||||
\(669\) | −6.70442e25 | + | 2.71439e26i | −0.0965636 | + | 0.390953i | ||||
\(670\) | −5.07184e26 | + | 2.65980e26i | −0.720202 | + | 0.377693i | ||||
\(671\) | −1.40170e25 | −0.0196242 | ||||||||
\(672\) | −2.57174e26 | + | 1.76713e26i | −0.354993 | + | 0.243927i | ||||
\(673\) | 9.43031e26 | 1.28346 | 0.641731 | − | 0.766930i | \(-0.278217\pi\) | ||||
0.641731 | + | 0.766930i | \(0.278217\pi\) | |||||||
\(674\) | 2.14190e26 | − | 1.12327e26i | 0.287429 | − | 0.150735i | ||||
\(675\) | 4.23652e26 | + | 3.76432e26i | 0.560562 | + | 0.498081i | ||||
\(676\) | −4.34429e26 | + | 6.28504e26i | −0.566794 | + | 0.820001i | ||||
\(677\) | − | 1.28852e27i | − | 1.65767i | −0.559491 | − | 0.828836i | \(-0.689003\pi\) | ||
0.559491 | − | 0.828836i | \(-0.310997\pi\) | |||||||
\(678\) | −2.65434e26 | − | 1.08069e27i | −0.336724 | − | 1.37094i | ||||
\(679\) | − | 5.23337e26i | − | 0.654664i | ||||||
\(680\) | −3.13811e25 | + | 2.56357e26i | −0.0387110 | + | 0.316235i | ||||
\(681\) | −6.05503e26 | − | 1.49557e26i | −0.736578 | − | 0.181931i | ||||
\(682\) | −4.49252e24 | − | 8.56656e24i | −0.00538938 | − | 0.0102767i | ||||
\(683\) | −1.01186e27 | −1.19709 | −0.598543 | − | 0.801091i | \(-0.704253\pi\) | ||||
−0.598543 | + | 0.801091i | \(0.704253\pi\) | |||||||
\(684\) | −6.48464e26 | − | 1.24044e27i | −0.756577 | − | 1.44725i | ||||
\(685\) | −3.51696e26 | −0.404676 | ||||||||
\(686\) | −3.19854e26 | − | 6.09913e26i | −0.362972 | − | 0.692132i | ||||
\(687\) | 3.23191e26 | + | 7.98267e25i | 0.361718 | + | 0.0893427i | ||||
\(688\) | 1.64239e26 | − | 6.20435e25i | 0.181295 | − | 0.0684866i | ||||
\(689\) | − | 1.15188e25i | − | 0.0125408i | ||||||
\(690\) | 1.58655e26 | + | 6.45949e26i | 0.170368 | + | 0.693637i | ||||
\(691\) | − | 7.56562e25i | − | 0.0801315i | −0.999197 | − | 0.0400658i | \(-0.987243\pi\) | ||
0.999197 | − | 0.0400658i | \(-0.0127567\pi\) | |||||||
\(692\) | −3.46391e25 | − | 2.39429e25i | −0.0361875 | − | 0.0250132i | ||||
\(693\) | 4.06408e24 | − | 7.72513e24i | 0.00418791 | − | 0.00796049i | ||||
\(694\) | 3.92869e26 | − | 2.06031e26i | 0.399331 | − | 0.209419i | ||||
\(695\) | 2.44244e26 | 0.244888 | ||||||||
\(696\) | −1.58241e27 | − | 6.02781e26i | −1.56507 | − | 0.596173i | ||||
\(697\) | −6.70455e26 | −0.654121 | ||||||||
\(698\) | 1.94994e26 | − | 1.02260e26i | 0.187670 | − | 0.0984190i | ||||
\(699\) | 2.48663e26 | − | 1.00675e27i | 0.236090 | − | 0.955848i | ||||
\(700\) | 2.83670e26 | + | 1.96076e26i | 0.265694 | + | 0.183650i | ||||
\(701\) | 1.54289e27i | 1.42565i | 0.701340 | + | 0.712827i | \(0.252585\pi\) | ||||
−0.701340 | + | 0.712827i | \(0.747415\pi\) | |||||||
\(702\) | −6.00011e25 | − | 1.49029e25i | −0.0546961 | − | 0.0135852i | ||||
\(703\) | − | 6.72522e26i | − | 0.604826i | ||||||
\(704\) | 2.28415e25 | + | 5.67721e24i | 0.0202667 | + | 0.00503726i | ||||
\(705\) | 9.12989e25 | − | 3.69638e26i | 0.0799225 | − | 0.323579i | ||||
\(706\) | 2.71282e24 | + | 5.17292e24i | 0.00234302 | + | 0.00446778i | ||||
\(707\) | −4.61675e26 | −0.393416 | ||||||||
\(708\) | −8.02718e26 | + | 7.09517e26i | −0.674912 | + | 0.596550i | ||||
\(709\) | 1.74705e26 | 0.144933 | 0.0724665 | − | 0.997371i | \(-0.476913\pi\) | ||||
0.0724665 | + | 0.997371i | \(0.476913\pi\) | |||||||
\(710\) | 3.64124e26 | + | 6.94329e26i | 0.298054 | + | 0.568344i | ||||
\(711\) | 5.51869e26 | − | 1.04901e27i | 0.445733 | − | 0.847262i | ||||
\(712\) | 1.99913e27 | + | 2.44718e26i | 1.59324 | + | 0.195032i | ||||
\(713\) | − | 1.00911e27i | − | 0.793575i | ||||||
\(714\) | 3.43377e26 | − | 8.43386e25i | 0.266464 | − | 0.0654476i | ||||
\(715\) | 7.68671e23i | 0.000588617i | ||||||||
\(716\) | −6.00555e26 | + | 8.68845e26i | −0.453815 | + | 0.656551i | ||||
\(717\) | −1.77691e27 | − | 4.38888e26i | −1.32505 | − | 0.327282i | ||||
\(718\) | −2.68225e26 | + | 1.40664e26i | −0.197386 | + | 0.103514i | ||||
\(719\) | 1.38061e26 | 0.100264 | 0.0501322 | − | 0.998743i | \(-0.484036\pi\) | ||||
0.0501322 | + | 0.998743i | \(0.484036\pi\) | |||||||
\(720\) | −6.92527e26 | − | 8.56886e25i | −0.496339 | − | 0.0614135i | ||||
\(721\) | 1.05533e27 | 0.746452 | ||||||||
\(722\) | 2.11479e27 | − | 1.10905e27i | 1.47626 | − | 0.774190i | ||||
\(723\) | 2.21563e25 | + | 5.47251e24i | 0.0152645 | + | 0.00377027i | ||||
\(724\) | 1.06107e26 | − | 1.53509e26i | 0.0721487 | − | 0.104380i | ||||
\(725\) | 1.87135e27i | 1.25587i | ||||||||
\(726\) | 1.46551e27 | − | 3.59952e26i | 0.970713 | − | 0.238422i | ||||
\(727\) | 1.53336e27i | 1.00246i | 0.865314 | + | 0.501230i | \(0.167119\pi\) | ||||
−0.865314 | + | 0.501230i | \(0.832881\pi\) | |||||||
\(728\) | −3.73396e25 | − | 4.57081e24i | −0.0240947 | − | 0.00294948i | ||||
\(729\) | 1.84683e26 | + | 1.55914e27i | 0.117629 | + | 0.993058i | ||||
\(730\) | 5.19014e26 | + | 9.89680e26i | 0.326296 | + | 0.622197i | ||||
\(731\) | −1.98944e26 | −0.123457 | ||||||||
\(732\) | 1.14943e27 | − | 1.01597e27i | 0.704088 | − | 0.622339i | ||||
\(733\) | −3.15907e27 | −1.91017 | −0.955084 | − | 0.296335i | \(-0.904236\pi\) | ||||
−0.955084 | + | 0.296335i | \(0.904236\pi\) | |||||||
\(734\) | 1.47186e27 | + | 2.80661e27i | 0.878524 | + | 1.67521i | ||||
\(735\) | 1.65775e26 | − | 6.71164e26i | 0.0976760 | − | 0.395456i | ||||
\(736\) | 1.83521e27 | + | 1.63119e27i | 1.06745 | + | 0.948777i | ||||
\(737\) | − | 5.91394e25i | − | 0.0339575i | ||||||
\(738\) | 2.35739e24 | − | 1.81147e27i | 0.00133627 | − | 1.02682i | ||||
\(739\) | − | 4.80014e26i | − | 0.268616i | −0.990940 | − | 0.134308i | \(-0.957119\pi\) | ||
0.990940 | − | 0.134308i | \(-0.0428812\pi\) | |||||||
\(740\) | −2.75803e26 | − | 1.90638e26i | −0.152369 | − | 0.105319i | ||||
\(741\) | 4.04637e25 | − | 1.63824e26i | 0.0220695 | − | 0.0893519i | ||||
\(742\) | −1.57631e26 | + | 8.26660e25i | −0.0848801 | + | 0.0445133i | ||||
\(743\) | −1.11721e27 | −0.593940 | −0.296970 | − | 0.954887i | \(-0.595976\pi\) | ||||
−0.296970 | + | 0.954887i | \(0.595976\pi\) | |||||||
\(744\) | 9.89314e26 | + | 3.76854e26i | 0.519267 | + | 0.197802i | ||||
\(745\) | −6.74751e26 | −0.349670 | ||||||||
\(746\) | 2.35903e26 | − | 1.23714e26i | 0.120702 | − | 0.0632993i | ||||
\(747\) | −4.73768e26 | − | 2.49243e26i | −0.239342 | − | 0.125915i | ||||
\(748\) | −2.19393e25 | − | 1.51647e25i | −0.0109436 | − | 0.00756430i | ||||
\(749\) | 6.25159e26i | 0.307902i | ||||||||
\(750\) | 4.29242e26 | + | 1.74762e27i | 0.208747 | + | 0.849894i | ||||
\(751\) | 9.35237e26i | 0.449099i | 0.974463 | + | 0.224550i | \(0.0720910\pi\) | ||||
−0.974463 | + | 0.224550i | \(0.927909\pi\) | |||||||
\(752\) | −4.96687e26 | − | 1.31481e27i | −0.235512 | − | 0.623440i | ||||
\(753\) | −5.24164e26 | − | 1.29466e26i | −0.245423 | − | 0.0606184i | ||||
\(754\) | −9.48120e25 | − | 1.80792e26i | −0.0438365 | − | 0.0835894i | ||||
\(755\) | 1.34658e27 | 0.614803 | ||||||||
\(756\) | 2.26663e26 | + | 9.28050e26i | 0.102194 | + | 0.418422i | ||||
\(757\) | 1.70298e27 | 0.758225 | 0.379112 | − | 0.925351i | \(-0.376229\pi\) | ||||
0.379112 | + | 0.925351i | \(0.376229\pi\) | |||||||
\(758\) | −1.17507e27 | − | 2.24068e27i | −0.516662 | − | 0.985197i | ||||
\(759\) | −6.66826e25 | − | 1.64703e25i | −0.0289545 | − | 0.00715163i | ||||
\(760\) | 2.31424e26 | − | 1.89053e27i | 0.0992383 | − | 0.810691i | ||||
\(761\) | − | 8.30549e26i | − | 0.351731i | −0.984414 | − | 0.175866i | \(-0.943728\pi\) | ||
0.984414 | − | 0.175866i | \(-0.0562725\pi\) | |||||||
\(762\) | 2.60189e26 | + | 1.05933e27i | 0.108822 | + | 0.443058i | ||||
\(763\) | − | 1.37919e27i | − | 0.569692i | ||||||
\(764\) | −1.94641e27 | + | 2.81594e27i | −0.794049 | + | 1.14878i | ||||
\(765\) | 6.99790e26 | + | 3.68150e26i | 0.281958 | + | 0.148334i | ||||
\(766\) | −7.90239e26 | + | 4.14422e26i | −0.314474 | + | 0.164918i | ||||
\(767\) | −1.29158e26 | −0.0507653 | ||||||||
\(768\) | −2.28455e27 | + | 1.19004e27i | −0.886888 | + | 0.461985i | ||||
\(769\) | 1.41968e27 | 0.544367 | 0.272183 | − | 0.962245i | \(-0.412254\pi\) | ||||
0.272183 | + | 0.962245i | \(0.412254\pi\) | |||||||
\(770\) | 1.05190e25 | − | 5.51646e24i | 0.00398396 | − | 0.00208929i | ||||
\(771\) | −2.32550e26 | + | 9.41516e26i | −0.0869962 | + | 0.352218i | ||||
\(772\) | −2.31732e27 | + | 3.35255e27i | −0.856292 | + | 1.23883i | ||||
\(773\) | − | 2.96986e27i | − | 1.08401i | −0.840377 | − | 0.542003i | \(-0.817666\pi\) | ||
0.840377 | − | 0.542003i | \(-0.182334\pi\) | |||||||
\(774\) | 6.99507e23 | − | 5.37517e26i | 0.000252205 | − | 0.193800i | ||||
\(775\) | − | 1.16996e27i | − | 0.416680i | ||||||
\(776\) | 5.24932e26 | − | 4.28824e27i | 0.184679 | − | 1.50867i | ||||
\(777\) | −1.10065e26 | + | 4.45615e26i | −0.0382516 | + | 0.154867i | ||||
\(778\) | −1.52616e27 | − | 2.91015e27i | −0.523954 | − | 0.999099i | ||||
\(779\) | 4.94435e27 | 1.67689 | ||||||||
\(780\) | −5.57143e25 | − | 6.30329e25i | −0.0186667 | − | 0.0211188i | ||||
\(781\) | −8.09613e25 | −0.0267974 | ||||||||
\(782\) | −1.29219e27 | − | 2.46401e27i | −0.422534 | − | 0.805708i | ||||
\(783\) | −3.44352e27 | + | 3.87548e27i | −1.11241 | + | 1.25195i | ||||
\(784\) | −9.01852e26 | − | 2.38735e27i | −0.287828 | − | 0.761927i | ||||
\(785\) | − | 2.57142e27i | − | 0.810795i | ||||||
\(786\) | 2.17238e27 | − | 5.33569e26i | 0.676739 | − | 0.166218i | ||||
\(787\) | − | 3.51595e27i | − | 1.08214i | −0.840978 | − | 0.541069i | \(-0.818020\pi\) | ||
0.840978 | − | 0.541069i | \(-0.181980\pi\) | |||||||
\(788\) | −3.89961e27 | − | 2.69545e27i | −1.18583 | − | 0.819657i | ||||
\(789\) | 2.23871e27 | + | 5.52951e26i | 0.672613 | + | 0.166133i | ||||
\(790\) | 1.42840e27 | − | 7.49089e26i | 0.424026 | − | 0.222370i | ||||
\(791\) | −2.07305e27 | −0.608043 | ||||||||
\(792\) | 4.10499e25 | − | 5.92235e25i | 0.0118966 | − | 0.0171635i | ||||
\(793\) | 1.84945e26 | 0.0529599 | ||||||||
\(794\) | −2.70007e27 | + | 1.41599e27i | −0.763978 | + | 0.400650i | ||||
\(795\) | −3.86434e26 | − | 9.54475e25i | −0.108041 | − | 0.0266856i | ||||
\(796\) | −4.45237e27 | − | 3.07753e27i | −1.23004 | − | 0.850214i | ||||
\(797\) | 2.12508e27i | 0.580124i | 0.957008 | + | 0.290062i | \(0.0936759\pi\) | ||||
−0.957008 | + | 0.290062i | \(0.906324\pi\) | |||||||
\(798\) | −2.53227e27 | + | 6.21965e26i | −0.683098 | + | 0.167779i | ||||
\(799\) | 1.59264e27i | 0.424545i | ||||||||
\(800\) | 2.12773e27 | + | 1.89119e27i | 0.560481 | + | 0.498172i | ||||
\(801\) | 2.87092e27 | − | 5.45713e27i | 0.747330 | − | 1.42055i | ||||
\(802\) | 9.20283e25 | + | 1.75484e26i | 0.0236736 | + | 0.0451420i | ||||
\(803\) | −1.15400e26 | −0.0293366 | ||||||||
\(804\) | 4.28651e27 | + | 4.84958e27i | 1.07689 | + | 1.21835i | ||||
\(805\) | 1.23911e27 | 0.307644 | ||||||||
\(806\) | 5.92757e25 | + | 1.13030e26i | 0.0145443 | + | 0.0277338i | ||||
\(807\) | −7.24858e26 | + | 2.93470e27i | −0.175774 | + | 0.711647i | ||||
\(808\) | −3.78298e27 | − | 4.63083e26i | −0.906622 | − | 0.110981i | ||||
\(809\) | 7.46409e27i | 1.76793i | 0.467550 | + | 0.883967i | \(0.345137\pi\) | ||||
−0.467550 | + | 0.883967i | \(0.654863\pi\) | |||||||
\(810\) | −9.97146e26 | + | 1.88943e27i | −0.233427 | + | 0.442307i | ||||
\(811\) | 7.01509e27i | 1.62306i | 0.584309 | + | 0.811531i | \(0.301366\pi\) | ||||
−0.584309 | + | 0.811531i | \(0.698634\pi\) | |||||||
\(812\) | −1.79366e27 | + | 2.59495e27i | −0.410164 | + | 0.593399i | ||||
\(813\) | 6.83632e26 | − | 2.76779e27i | 0.154512 | − | 0.625565i | ||||
\(814\) | 3.06617e25 | − | 1.60798e25i | 0.00684959 | − | 0.00359210i | ||||
\(815\) | 3.63903e26 | 0.0803505 | ||||||||
\(816\) | 2.89824e27 | − | 3.46650e26i | 0.632525 | − | 0.0756545i | ||||
\(817\) | 1.46714e27 | 0.316491 | ||||||||
\(818\) | −2.09505e27 | + | 1.09870e27i | −0.446723 | + | 0.234273i | ||||
\(819\) | −5.36228e25 | + | 1.01928e26i | −0.0113019 | + | 0.0214830i | ||||
\(820\) | 1.40156e27 | − | 2.02769e27i | 0.291998 | − | 0.422445i | ||||
\(821\) | − | 2.54670e27i | − | 0.524467i | −0.965004 | − | 0.262233i | \(-0.915541\pi\) | ||
0.965004 | − | 0.262233i | \(-0.0844590\pi\) | |||||||
\(822\) | 9.48085e26 | + | 3.86004e27i | 0.193003 | + | 0.785796i | ||||
\(823\) | − | 3.07972e27i | − | 0.619745i | −0.950778 | − | 0.309873i | \(-0.899714\pi\) | ||
0.950778 | − | 0.309873i | \(-0.100286\pi\) | |||||||
\(824\) | 8.64739e27 | + | 1.05854e27i | 1.72019 | + | 0.210572i | ||||
\(825\) | −7.73113e25 | − | 1.90956e25i | −0.0152030 | − | 0.00375509i | ||||
\(826\) | 9.26921e26 | + | 1.76750e27i | 0.180191 | + | 0.343596i | ||||
\(827\) | 6.38966e27 | 1.22794 | 0.613968 | − | 0.789331i | \(-0.289573\pi\) | ||||
0.613968 | + | 0.789331i | \(0.289573\pi\) | |||||||
\(828\) | 6.66193e27 | − | 3.48264e27i | 1.26564 | − | 0.661638i | ||||
\(829\) | 1.61704e27 | 0.303705 | 0.151853 | − | 0.988403i | \(-0.451476\pi\) | ||||
0.151853 | + | 0.988403i | \(0.451476\pi\) | |||||||
\(830\) | −3.38314e26 | − | 6.45113e26i | −0.0628171 | − | 0.119783i | ||||
\(831\) | −5.56562e27 | − | 1.37468e27i | −1.02165 | − | 0.252344i | ||||
\(832\) | −3.01377e26 | − | 7.49069e25i | −0.0546939 | − | 0.0135941i | ||||
\(833\) | 2.89181e27i | 0.518851i | ||||||||
\(834\) | −6.58420e26 | − | 2.68070e27i | −0.116795 | − | 0.475521i | ||||
\(835\) | 1.10824e27i | 0.194362i | ||||||||
\(836\) | 1.61794e26 | + | 1.11834e26i | 0.0280546 | + | 0.0193916i | ||||
\(837\) | 2.15286e27 | − | 2.42292e27i | 0.369083 | − | 0.415382i | ||||
\(838\) | 4.47404e27 | − | 2.34630e27i | 0.758370 | − | 0.397709i | ||||
\(839\) | 5.11693e27 | 0.857572 | 0.428786 | − | 0.903406i | \(-0.358941\pi\) | ||||
0.428786 | + | 0.903406i | \(0.358941\pi\) | |||||||
\(840\) | −4.62747e26 | + | 1.21480e27i | −0.0766815 | + | 0.201303i | ||||
\(841\) | −1.10155e28 | −1.80485 | ||||||||
\(842\) | −7.53838e27 | + | 3.95332e27i | −1.22127 | + | 0.640467i | ||||
\(843\) | 9.62353e26 | − | 3.89624e27i | 0.154160 | − | 0.624142i | ||||
\(844\) | 2.03954e27 | + | 1.40975e27i | 0.323057 | + | 0.223300i | ||||
\(845\) | 3.18299e27i | 0.498535i | ||||||||
\(846\) | −4.30308e27 | − | 5.59989e24i | −0.666440 | − | 0.000867283i | ||||
\(847\) | − | 2.81124e27i | − | 0.430533i | ||||||
\(848\) | −1.37456e27 | + | 5.19256e26i | −0.208162 | + | 0.0786360i | ||||
\(849\) | −1.58088e27 | + | 6.40042e27i | −0.236742 | + | 0.958486i | ||||
\(850\) | −1.49815e27 | − | 2.85675e27i | −0.221859 | − | 0.423051i | ||||
\(851\) | 3.61184e27 | 0.528930 | ||||||||
\(852\) | 6.63902e27 | − | 5.86818e27i | 0.961453 | − | 0.849821i | ||||
\(853\) | 4.51339e27 | 0.646379 | 0.323189 | − | 0.946334i | \(-0.395245\pi\) | ||||
0.323189 | + | 0.946334i | \(0.395245\pi\) | |||||||
\(854\) | −1.32728e27 | − | 2.53092e27i | −0.187980 | − | 0.358450i | ||||
\(855\) | −5.16068e27 | − | 2.71496e27i | −0.722818 | − | 0.380265i | ||||
\(856\) | −6.27065e26 | + | 5.12258e27i | −0.0868584 | + | 0.709557i | ||||
\(857\) | 7.55223e27i | 1.03456i | 0.855815 | + | 0.517282i | \(0.173056\pi\) | ||||
−0.855815 | + | 0.517282i | \(0.826944\pi\) | |||||||
\(858\) | 8.43655e24 | − | 2.07215e24i | 0.00114297 | − | 0.000280731i | ||||
\(859\) | − | 1.11592e28i | − | 1.49520i | −0.664152 | − | 0.747598i | \(-0.731207\pi\) | ||
0.664152 | − | 0.747598i | \(-0.268793\pi\) | |||||||
\(860\) | 4.15885e26 | − | 6.01676e26i | 0.0551109 | − | 0.0797310i | ||||
\(861\) | −3.27614e27 | − | 8.09193e26i | −0.429371 | − | 0.106053i | ||||
\(862\) | −1.89439e27 | + | 9.93466e26i | −0.245556 | + | 0.128776i | ||||
\(863\) | −6.29777e27 | −0.807391 | −0.403696 | − | 0.914893i | \(-0.632275\pi\) | ||||
−0.403696 | + | 0.914893i | \(0.632275\pi\) | |||||||
\(864\) | 9.26407e26 | + | 7.83183e27i | 0.117468 | + | 0.993077i | ||||
\(865\) | −1.75425e26 | −0.0220009 | ||||||||
\(866\) | −1.89904e27 | + | 9.95905e26i | −0.235567 | + | 0.123537i | ||||
\(867\) | 4.70161e27 | + | 1.16128e27i | 0.576853 | + | 0.142480i | ||||
\(868\) | 1.12138e27 | − | 1.62234e27i | 0.136087 | − | 0.196882i | ||||
\(869\) | 1.66556e26i | 0.0199928i | ||||||||
\(870\) | −6.85086e27 | + | 1.68268e27i | −0.813416 | + | 0.199787i | ||||
\(871\) | 7.80304e26i | 0.0916413i | ||||||||
\(872\) | 1.38339e27 | − | 1.13011e28i | 0.160708 | − | 1.31285i | ||||
\(873\) | −1.17058e28 | − | 6.15828e27i | −1.34514 | − | 0.707659i | ||||
\(874\) | 9.52940e27 | + | 1.81711e28i | 1.08320 | + | 2.06549i | ||||
\(875\) | 3.35241e27 | 0.376947 | ||||||||
\(876\) | 9.46311e27 | − | 8.36437e27i | 1.05255 | − | 0.930346i | ||||
\(877\) | −7.50340e27 | −0.825585 | −0.412792 | − | 0.910825i | \(-0.635447\pi\) | ||||
−0.412792 | + | 0.910825i | \(0.635447\pi\) | |||||||
\(878\) | −4.13876e27 | − | 7.89198e27i | −0.450476 | − | 0.858990i | ||||
\(879\) | 8.56733e25 | − | 3.46862e26i | 0.00922468 | − | 0.0373475i | ||||
\(880\) | 9.17267e25 | − | 3.46510e25i | 0.00977036 | − | 0.00369088i | ||||
\(881\) | − | 1.32340e28i | − | 1.39450i | −0.716827 | − | 0.697251i | \(-0.754406\pi\) | ||
0.716827 | − | 0.697251i | \(-0.245594\pi\) | |||||||
\(882\) | −7.81325e27 | − | 1.01679e25i | −0.814479 | − | 0.00105994i | ||||
\(883\) | 1.32731e28i | 1.36882i | 0.729098 | + | 0.684409i | \(0.239940\pi\) | ||||
−0.729098 | + | 0.684409i | \(0.760060\pi\) | |||||||
\(884\) | 2.89474e26 | + | 2.00088e26i | 0.0295334 | + | 0.0204138i | ||||
\(885\) | −1.07024e27 | + | 4.33302e27i | −0.108024 | + | 0.437351i | ||||
\(886\) | 1.24509e28 | − | 6.52956e27i | 1.24331 | − | 0.652024i | ||||
\(887\) | −1.69464e28 | −1.67418 | −0.837091 | − | 0.547063i | \(-0.815746\pi\) | ||||
−0.837091 | + | 0.547063i | \(0.815746\pi\) | |||||||
\(888\) | −1.34885e27 | + | 3.54098e27i | −0.131838 | + | 0.346099i | ||||
\(889\) | 2.03209e27 | 0.196506 | ||||||||
\(890\) | 7.43079e27 | − | 3.89690e27i | 0.710935 | − | 0.372833i | ||||
\(891\) | −1.24970e26 | − | 1.81808e26i | −0.0118295 | − | 0.0172098i | ||||
\(892\) | 3.53708e27 | + | 2.44487e27i | 0.331268 | + | 0.228976i | ||||
\(893\) | − | 1.17451e28i | − | 1.08835i | ||||||
\(894\) | 1.81896e27 | + | 7.40573e27i | 0.166770 | + | 0.678987i | ||||
\(895\) | 4.40016e27i | 0.399163i | ||||||||
\(896\) | 1.13779e27 | + | 4.66184e27i | 0.102126 | + | 0.418438i | ||||
\(897\) | 8.79831e26 | + | 2.17314e26i | 0.0781395 | + | 0.0193001i | ||||
\(898\) | 6.93014e27 | + | 1.32147e28i | 0.608999 | + | 1.16127i | ||||
\(899\) | 1.07025e28 | 0.930612 | ||||||||
\(900\) | 7.72379e27 | − | 4.03775e27i | 0.664548 | − | 0.347404i | ||||
\(901\) | 1.66501e27 | 0.141753 | ||||||||
\(902\) | 1.18218e26 | + | 2.25424e26i | 0.00995913 | + | 0.0189905i | ||||
\(903\) | −9.72129e26 | − | 2.40112e26i | −0.0810383 | − | 0.0200161i | ||||
\(904\) | −1.69867e28 | − | 2.07937e27i | −1.40123 | − | 0.171527i | ||||
\(905\) | − | 7.77429e26i | − | 0.0634598i | ||||||
\(906\) | −3.63004e27 | − | 1.47794e28i | −0.293220 | − | 1.19382i | ||||
\(907\) | − | 9.89997e27i | − | 0.791343i | −0.918392 | − | 0.395671i | \(-0.870512\pi\) | ||
0.918392 | − | 0.395671i | \(-0.129488\pi\) | |||||||
\(908\) | −5.45381e27 | + | 7.89022e27i | −0.431404 | + | 0.624128i | ||||
\(909\) | −5.43268e27 | + | 1.03266e28i | −0.425263 | + | 0.808352i | ||||
\(910\) | −1.38792e26 | + | 7.27859e25i | −0.0107515 | + | 0.00563837i | ||||
\(911\) | −2.18861e28 | −1.67781 | −0.838907 | − | 0.544274i | \(-0.816805\pi\) | ||||
−0.838907 | + | 0.544274i | \(0.816805\pi\) | |||||||
\(912\) | −2.13734e28 | + | 2.55641e27i | −1.62152 | + | 0.193946i | ||||
\(913\) | 7.52225e25 | 0.00564775 | ||||||||
\(914\) | 8.35202e27 | − | 4.38001e27i | 0.620587 | − | 0.325452i | ||||
\(915\) | 1.53250e27 | − | 6.20455e27i | 0.112694 | − | 0.456257i | ||||
\(916\) | 2.91100e27 | − | 4.21145e27i | 0.211853 | − | 0.306496i | ||||
\(917\) | − | 4.16721e27i | − | 0.300149i | ||||||
\(918\) | 2.15417e27 | − | 8.67298e27i | 0.153559 | − | 0.618248i | ||||
\(919\) | 2.12744e28i | 1.50093i | 0.660910 | + | 0.750465i | \(0.270170\pi\) | ||||
−0.660910 | + | 0.750465i | \(0.729830\pi\) | |||||||
\(920\) | 1.01533e28 | + | 1.24288e27i | 0.708961 | + | 0.0867853i | ||||
\(921\) | 1.03214e26 | − | 4.17876e26i | 0.00713297 | − | 0.0288789i | ||||
\(922\) | −1.12511e28 | − | 2.14541e28i | −0.769575 | − | 1.46746i | ||||
\(923\) | 1.06823e27 | 0.0723182 | ||||||||
\(924\) | −8.89026e25 | − | 1.00581e26i | −0.00595705 | − | 0.00673956i | ||||
\(925\) | 4.18754e27 | 0.277724 | ||||||||
\(926\) | 7.83224e27 | + | 1.49349e28i | 0.514140 | + | 0.980387i | ||||
\(927\) | 1.24184e28 | − | 2.36052e28i | 0.806877 | − | 1.53374i | ||||
\(928\) | −1.73002e28 | + | 1.94640e28i | −1.11261 | + | 1.25178i | ||||
\(929\) | 2.00768e28i | 1.27804i | 0.769190 | + | 0.639020i | \(0.220660\pi\) | ||||
−0.769190 | + | 0.639020i | \(0.779340\pi\) | |||||||
\(930\) | 4.28311e27 | − | 1.05200e27i | 0.269880 | − | 0.0662867i | ||||
\(931\) | − | 2.13260e28i | − | 1.33011i | ||||||
\(932\) | −1.31188e28 | − | 9.06789e27i | −0.809924 | − | 0.559828i | ||||
\(933\) | 2.01318e28 | + | 4.97246e27i | 1.23029 | + | 0.303875i | ||||
\(934\) | 2.13770e28 | − | 1.12107e28i | 1.29316 | − | 0.678166i | ||||
\(935\) | −1.11109e26 | −0.00665334 | ||||||||
\(936\) | −5.41626e26 | + | 7.81414e26i | −0.0321054 | + | 0.0463191i | ||||
\(937\) | 2.19414e28 | 1.28747 | 0.643736 | − | 0.765248i | \(-0.277383\pi\) | ||||
0.643736 | + | 0.765248i | \(0.277383\pi\) | |||||||
\(938\) | 1.06782e28 | − | 5.59994e27i | 0.620259 | − | 0.325280i | ||||
\(939\) | 2.43469e28 | + | 6.01358e27i | 1.39998 | + | 0.345788i | ||||
\(940\) | −4.81670e27 | − | 3.32936e27i | −0.274180 | − | 0.189516i | ||||
\(941\) | 1.97479e27i | 0.111281i | 0.998451 | + | 0.0556403i | \(0.0177200\pi\) | ||||
−0.998451 | + | 0.0556403i | \(0.982280\pi\) | |||||||
\(942\) | −2.82226e28 | + | 6.93191e27i | −1.57440 | + | 0.386696i | ||||
\(943\) | 2.65541e28i | 1.46646i | ||||||||
\(944\) | 5.82234e27 | + | 1.54127e28i | 0.318320 | + | 0.842645i | ||||
\(945\) | 2.97515e27 | + | 2.64354e27i | 0.161030 | + | 0.143082i | ||||
\(946\) | 3.50788e25 | + | 6.68899e25i | 0.00187966 | + | 0.00358422i | ||||
\(947\) | 2.38881e28 | 1.26724 | 0.633618 | − | 0.773646i | \(-0.281569\pi\) | ||||
0.633618 | + | 0.773646i | \(0.281569\pi\) | |||||||
\(948\) | −1.20722e28 | − | 1.36580e28i | −0.634028 | − | 0.717314i | ||||
\(949\) | 1.52263e27 | 0.0791707 | ||||||||
\(950\) | 1.10483e28 | + | 2.10675e28i | 0.568751 | + | 1.08452i | ||||
\(951\) | −8.22845e27 | + | 3.33141e28i | −0.419375 | + | 1.69791i | ||||
\(952\) | 6.60698e26 | − | 5.39733e27i | 0.0333390 | − | 0.272350i | ||||
\(953\) | − | 2.21552e28i | − | 1.10686i | −0.832896 | − | 0.553430i | \(-0.813319\pi\) | ||
0.832896 | − | 0.553430i | \(-0.186681\pi\) | |||||||
\(954\) | −5.85434e24 | + | 4.49861e27i | −0.000289580 | + | 0.222520i | ||||
\(955\) | 1.42610e28i | 0.698422i | ||||||||
\(956\) | −1.60047e28 | + | 2.31546e28i | −0.776065 | + | 1.12276i | ||||
\(957\) | 1.74682e26 | − | 7.07228e26i | 0.00838659 | − | 0.0339544i | ||||
\(958\) | −2.14480e28 | + | 1.12479e28i | −1.01956 | + | 0.534686i | ||||
\(959\) | 7.40461e27 | 0.348518 | ||||||||
\(960\) | −5.01027e27 | + | 9.48994e27i | −0.233499 | + | 0.442269i | ||||
\(961\) | 1.49795e28 | 0.691236 | ||||||||
\(962\) | −4.04560e26 | + | 2.12162e26i | −0.0184850 | + | 0.00969402i | ||||
\(963\) | 1.39834e28 | + | 7.35645e27i | 0.632647 | + | 0.332827i | ||||
\(964\) | 1.99563e26 | − | 2.88716e26i | 0.00894024 | − | 0.0129342i | ||||
\(965\) | 1.69786e28i | 0.753170i | ||||||||
\(966\) | −3.34032e27 | − | 1.35998e28i | −0.146726 | − | 0.597380i | ||||
\(967\) | − | 3.77617e28i | − | 1.64248i | −0.570583 | − | 0.821240i | \(-0.693283\pi\) | ||
0.570583 | − | 0.821240i | \(-0.306717\pi\) | |||||||
\(968\) | 2.81982e27 | − | 2.30355e28i | 0.121452 | − | 0.992158i | ||||
\(969\) | 2.36803e28 | + | 5.84892e27i | 1.00997 | + | 0.249459i | ||||
\(970\) | −8.35905e27 | − | 1.59394e28i | −0.353041 | − | 0.673196i | ||||
\(971\) | −4.28177e28 | −1.79077 | −0.895387 | − | 0.445289i | \(-0.853101\pi\) | ||||
−0.895387 | + | 0.445289i | \(0.853101\pi\) | |||||||
\(972\) | 2.34255e28 | + | 5.85074e27i | 0.970197 | + | 0.242316i | ||||
\(973\) | −5.14230e27 | −0.210904 | ||||||||
\(974\) | 1.73871e28 | + | 3.31545e28i | 0.706181 | + | 1.34658i | ||||
\(975\) | 1.02007e27 | + | 2.51953e26i | 0.0410285 | + | 0.0101339i | ||||
\(976\) | −8.33714e27 | − | 2.20698e28i | −0.332081 | − | 0.879072i | ||||
\(977\) | − | 2.80430e28i | − | 1.10618i | −0.833121 | − | 0.553090i | \(-0.813449\pi\) | ||
0.833121 | − | 0.553090i | \(-0.186551\pi\) | |||||||
\(978\) | −9.80992e26 | − | 3.99402e27i | −0.0383218 | − | 0.156024i | ||||
\(979\) | 8.66457e26i | 0.0335206i | ||||||||
\(980\) | −8.74584e27 | − | 6.04522e27i | −0.335084 | − | 0.231614i | ||||
\(981\) | −3.08492e28 | − | 1.62293e28i | −1.17055 | − | 0.615808i | ||||
\(982\) | 8.98119e26 | − | 4.70997e26i | 0.0337501 | − | 0.0176994i | ||||
\(983\) | −2.97250e28 | −1.10628 | −0.553138 | − | 0.833089i | \(-0.686570\pi\) | ||||
−0.553138 | + | 0.833089i | \(0.686570\pi\) | |||||||
\(984\) | −2.60332e28 | − | 9.91669e27i | −0.959563 | − | 0.365522i | ||||
\(985\) | −1.97491e28 | −0.720946 | ||||||||
\(986\) | 2.61330e28 | − | 1.37048e28i | 0.944840 | − | 0.495498i | ||||
\(987\) | −1.92221e27 | + | 7.78235e27i | −0.0688315 | + | 0.278675i | ||||
\(988\) | −2.13476e27 | − | 1.47557e27i | −0.0757110 | − | 0.0523323i | ||||
\(989\) | 7.87939e27i | 0.276776i | ||||||||
\(990\) | 3.90671e23 | − | 3.00201e26i | 1.35918e−5 | − | 0.0104443i | ||||
\(991\) | − | 1.52440e28i | − | 0.525290i | −0.964892 | − | 0.262645i | \(-0.915405\pi\) | ||
0.964892 | − | 0.262645i | \(-0.0845949\pi\) | |||||||
\(992\) | 1.08159e28 | − | 1.21687e28i | 0.369150 | − | 0.415322i | ||||
\(993\) | 5.61723e27 | − | 2.27422e28i | 0.189891 | − | 0.768803i | ||||
\(994\) | −7.66627e27 | − | 1.46184e28i | −0.256693 | − | 0.489474i | ||||
\(995\) | −2.25485e28 | −0.747823 | ||||||||
\(996\) | −6.16843e27 | + | 5.45223e27i | −0.202633 | + | 0.179106i | ||||
\(997\) | −3.72997e28 | −1.21367 | −0.606836 | − | 0.794827i | \(-0.707562\pi\) | ||||
−0.606836 | + | 0.794827i | \(0.707562\pi\) | |||||||
\(998\) | −1.67627e28 | − | 3.19639e28i | −0.540261 | − | 1.03019i | ||||
\(999\) | 8.67220e27 | + | 7.70559e27i | 0.276858 | + | 0.245999i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 12.20.b.a.11.6 | yes | 36 | |
3.2 | odd | 2 | inner | 12.20.b.a.11.31 | yes | 36 | |
4.3 | odd | 2 | inner | 12.20.b.a.11.32 | yes | 36 | |
12.11 | even | 2 | inner | 12.20.b.a.11.5 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.20.b.a.11.5 | ✓ | 36 | 12.11 | even | 2 | inner | |
12.20.b.a.11.6 | yes | 36 | 1.1 | even | 1 | trivial | |
12.20.b.a.11.31 | yes | 36 | 3.2 | odd | 2 | inner | |
12.20.b.a.11.32 | yes | 36 | 4.3 | odd | 2 | inner |