Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [23,13,Mod(5,23)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(23, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("23.5");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 23 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 23.d (of order \(22\), degree \(10\), 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: | \(21.0218577974\) |
Analytic rank: | \(0\) |
Dimension: | \(230\) |
Relative dimension: | \(23\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 5.9 | ||
Character | \(\chi\) | \(=\) | 23.5 |
Dual form | 23.13.d.a.14.9 |
$q$-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 \(\left(\mathbb{Z}/23\mathbb{Z}\right)^\times\).
\(n\) | \(5\) |
\(\chi(n)\) | \(e\left(\frac{1}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −35.7422 | − | 10.4949i | −0.558472 | − | 0.163982i | −0.00969798 | − | 0.999953i | \(-0.503087\pi\) |
−0.548774 | + | 0.835971i | \(0.684905\pi\) | |||||||
\(3\) | 347.101 | − | 400.576i | 0.476133 | − | 0.549487i | −0.465974 | − | 0.884798i | \(-0.654296\pi\) |
0.942107 | + | 0.335312i | \(0.108842\pi\) | |||||||
\(4\) | −2278.41 | − | 1464.25i | −0.556253 | − | 0.357482i | ||||
\(5\) | 28946.6 | + | 4161.89i | 1.85258 | + | 0.266361i | 0.976455 | − | 0.215721i | \(-0.0692101\pi\) |
0.876126 | + | 0.482082i | \(0.160119\pi\) | |||||||
\(6\) | −16610.1 | + | 10674.7i | −0.356013 | + | 0.228796i | ||||
\(7\) | −39526.9 | + | 18051.3i | −0.335973 | + | 0.153434i | −0.576256 | − | 0.817269i | \(-0.695487\pi\) |
0.240283 | + | 0.970703i | \(0.422760\pi\) | |||||||
\(8\) | 165987. | + | 191560.i | 0.633192 | + | 0.730742i | ||||
\(9\) | 35650.0 | + | 247951.i | 0.0670818 | + | 0.466564i | ||||
\(10\) | −990936. | − | 452545.i | −0.990936 | − | 0.452545i | ||||
\(11\) | 85735.5 | + | 291988.i | 0.0483954 | + | 0.164820i | 0.980145 | − | 0.198282i | \(-0.0635361\pi\) |
−0.931750 | + | 0.363101i | \(0.881718\pi\) | |||||||
\(12\) | −1.37738e6 | + | 404435.i | −0.461282 | + | 0.135445i | ||||
\(13\) | −1.43367e6 | + | 3.13929e6i | −0.297021 | + | 0.650386i | −0.998028 | − | 0.0627686i | \(-0.980007\pi\) |
0.701007 | + | 0.713155i | \(0.252734\pi\) | |||||||
\(14\) | 1.60222e6 | − | 230365.i | 0.212792 | − | 0.0305948i | ||||
\(15\) | 1.17145e7 | − | 1.01507e7i | 1.02844 | − | 0.891145i | ||||
\(16\) | 686007. | + | 1.50215e6i | 0.0408892 | + | 0.0895349i | ||||
\(17\) | 223827. | + | 348281.i | 0.00927297 | + | 0.0144290i | 0.845859 | − | 0.533406i | \(-0.179088\pi\) |
−0.836586 | + | 0.547835i | \(0.815452\pi\) | |||||||
\(18\) | 1.32800e6 | − | 9.23647e6i | 0.0390449 | − | 0.271563i | ||||
\(19\) | −3.11133e7 | + | 4.84132e7i | −0.661339 | + | 1.02906i | 0.334886 | + | 0.942259i | \(0.391302\pi\) |
−0.996225 | + | 0.0868051i | \(0.972334\pi\) | |||||||
\(20\) | −5.98582e7 | − | 5.18674e7i | −0.935284 | − | 0.810429i | ||||
\(21\) | −6.48889e6 | + | 2.20991e7i | −0.0756580 | + | 0.257667i | ||||
\(22\) | − | 1.13361e7i | − | 0.0999831i | ||||||
\(23\) | 1.48030e8 | − | 1.26592e6i | 0.999963 | − | 0.00855145i | ||||
\(24\) | 1.34349e8 | 0.703017 | ||||||||
\(25\) | 5.86332e8 | + | 1.72163e8i | 2.40162 | + | 0.705178i | ||||
\(26\) | 8.41887e7 | − | 9.71590e7i | 0.272530 | − | 0.314516i | ||||
\(27\) | 3.48665e8 | + | 2.24073e8i | 0.899965 | + | 0.578372i | ||||
\(28\) | 1.16490e8 | + | 1.67487e7i | 0.241736 | + | 0.0347563i | ||||
\(29\) | 4.08855e8 | − | 2.62755e8i | 0.687356 | − | 0.441737i | −0.149789 | − | 0.988718i | \(-0.547859\pi\) |
0.837145 | + | 0.546981i | \(0.184223\pi\) | |||||||
\(30\) | −5.25233e8 | + | 2.39866e8i | −0.720485 | + | 0.329034i | ||||
\(31\) | 6.01425e8 | + | 6.94081e8i | 0.677659 | + | 0.782060i | 0.985554 | − | 0.169360i | \(-0.0541701\pi\) |
−0.307895 | + | 0.951420i | \(0.599625\pi\) | |||||||
\(32\) | −1.56508e8 | − | 1.08853e9i | −0.145759 | − | 1.01378i | ||||
\(33\) | 1.46722e8 | + | 6.70058e7i | 0.113609 | + | 0.0518834i | ||||
\(34\) | −4.34490e6 | − | 1.47974e7i | −0.00281259 | − | 0.00957880i | ||||
\(35\) | −1.21930e9 | + | 3.58017e8i | −0.663286 | + | 0.194758i | ||||
\(36\) | 2.81836e8 | − | 6.17136e8i | 0.129474 | − | 0.283508i | ||||
\(37\) | −1.31397e8 | + | 1.88920e7i | −0.0512124 | + | 0.00736323i | −0.167873 | − | 0.985809i | \(-0.553690\pi\) |
0.116661 | + | 0.993172i | \(0.462781\pi\) | |||||||
\(38\) | 1.62015e9 | − | 1.40387e9i | 0.538087 | − | 0.466255i | ||||
\(39\) | 7.59897e8 | + | 1.66394e9i | 0.215957 | + | 0.472879i | ||||
\(40\) | 4.00752e9 | + | 6.23582e9i | 0.978398 | + | 1.52242i | ||||
\(41\) | 6.52757e8 | − | 4.54003e9i | 0.137420 | − | 0.955774i | −0.798106 | − | 0.602516i | \(-0.794165\pi\) |
0.935526 | − | 0.353258i | \(-0.114926\pi\) | |||||||
\(42\) | 4.63854e8 | − | 7.21772e8i | 0.0845057 | − | 0.131493i | ||||
\(43\) | −3.43965e9 | − | 2.98047e9i | −0.544131 | − | 0.471492i | 0.338890 | − | 0.940826i | \(-0.389949\pi\) |
−0.883021 | + | 0.469334i | \(0.844494\pi\) | |||||||
\(44\) | 2.32202e8 | − | 7.90807e8i | 0.0320000 | − | 0.108982i | ||||
\(45\) | 7.32571e9i | 0.882216i | ||||||||
\(46\) | −5.30422e9 | − | 1.50831e9i | −0.559854 | − | 0.159200i | ||||
\(47\) | −1.00774e10 | −0.934895 | −0.467448 | − | 0.884021i | \(-0.654826\pi\) | ||||
−0.467448 | + | 0.884021i | \(0.654826\pi\) | |||||||
\(48\) | 8.39837e8 | + | 2.46598e8i | 0.0686669 | + | 0.0201624i | ||||
\(49\) | −7.82759e9 | + | 9.03352e9i | −0.565525 | + | 0.652650i | ||||
\(50\) | −1.91500e10 | − | 1.23069e10i | −1.22560 | − | 0.787644i | ||||
\(51\) | 2.17204e8 | + | 3.12292e7i | 0.0123437 | + | 0.00177476i | ||||
\(52\) | 7.86317e9 | − | 5.05335e9i | 0.397720 | − | 0.255599i | ||||
\(53\) | 2.14217e10 | − | 9.78297e9i | 0.966494 | − | 0.441383i | 0.131303 | − | 0.991342i | \(-0.458084\pi\) |
0.835191 | + | 0.549959i | \(0.185357\pi\) | |||||||
\(54\) | −1.01104e10 | − | 1.16681e10i | −0.407762 | − | 0.470583i | ||||
\(55\) | 1.26653e9 | + | 8.80888e9i | 0.0457549 | + | 0.318233i | ||||
\(56\) | −1.00189e10 | − | 4.57546e9i | −0.324856 | − | 0.148357i | ||||
\(57\) | 8.59371e9 | + | 2.92675e10i | 0.250571 | + | 0.853368i | ||||
\(58\) | −1.73710e10 | + | 5.10058e9i | −0.456306 | + | 0.133984i | ||||
\(59\) | 2.83019e10 | − | 6.19725e10i | 0.670971 | − | 1.46922i | −0.200964 | − | 0.979599i | \(-0.564407\pi\) |
0.871935 | − | 0.489622i | \(-0.162865\pi\) | |||||||
\(60\) | −4.15537e10 | + | 5.97452e9i | −0.890639 | + | 0.128055i | ||||
\(61\) | −1.68208e10 | + | 1.45753e10i | −0.326488 | + | 0.282903i | −0.802645 | − | 0.596457i | \(-0.796575\pi\) |
0.476157 | + | 0.879360i | \(0.342029\pi\) | |||||||
\(62\) | −1.42120e10 | − | 3.11198e10i | −0.250209 | − | 0.547882i | ||||
\(63\) | −5.88498e9 | − | 9.15721e9i | −0.0941243 | − | 0.146460i | ||||
\(64\) | −4.86746e9 | + | 3.38539e10i | −0.0708309 | + | 0.492640i | ||||
\(65\) | −5.45651e10 | + | 8.49049e10i | −0.723494 | + | 1.12578i | ||||
\(66\) | −4.54096e9 | − | 3.93476e9i | −0.0549394 | − | 0.0476053i | ||||
\(67\) | −1.01247e10 | + | 3.44816e10i | −0.111927 | + | 0.381188i | −0.996336 | − | 0.0855244i | \(-0.972743\pi\) |
0.884409 | + | 0.466712i | \(0.154562\pi\) | |||||||
\(68\) | − | 1.12127e9i | − | 0.0113411i | ||||||
\(69\) | 5.08744e10 | − | 5.97368e10i | 0.471417 | − | 0.553538i | ||||
\(70\) | 4.73376e10 | 0.402363 | ||||||||
\(71\) | 2.55307e9 | + | 7.49650e8i | 0.0199303 | + | 0.00585205i | 0.291682 | − | 0.956515i | \(-0.405785\pi\) |
−0.271752 | + | 0.962367i | \(0.587603\pi\) | |||||||
\(72\) | −4.15800e10 | + | 4.79859e10i | −0.298463 | + | 0.344444i | ||||
\(73\) | 2.28649e11 | + | 1.46944e11i | 1.51089 | + | 0.970990i | 0.993325 | + | 0.115345i | \(0.0367974\pi\) |
0.517564 | + | 0.855645i | \(0.326839\pi\) | |||||||
\(74\) | 4.89469e9 | + | 7.03750e8i | 0.0298081 | + | 0.00428576i | ||||
\(75\) | 2.72481e11 | − | 1.75113e11i | 1.53097 | − | 0.983897i | ||||
\(76\) | 1.41778e11 | − | 6.47477e10i | 0.735744 | − | 0.336003i | ||||
\(77\) | −8.65962e9 | − | 9.99374e9i | −0.0415484 | − | 0.0479495i | ||||
\(78\) | −9.69755e9 | − | 6.74479e10i | −0.0430620 | − | 0.299503i | ||||
\(79\) | −1.74743e11 | − | 7.98023e10i | −0.718847 | − | 0.328286i | 0.0221871 | − | 0.999754i | \(-0.492937\pi\) |
−0.741034 | + | 0.671467i | \(0.765664\pi\) | |||||||
\(80\) | 1.36058e10 | + | 4.63371e10i | 0.0519020 | + | 0.176762i | ||||
\(81\) | 8.30463e10 | − | 2.43846e10i | 0.294042 | − | 0.0863386i | ||||
\(82\) | −7.09779e10 | + | 1.55420e11i | −0.233475 | + | 0.511239i | ||||
\(83\) | −9.28109e10 | + | 1.33442e10i | −0.283877 | + | 0.0408154i | −0.282783 | − | 0.959184i | \(-0.591257\pi\) |
−0.00109451 | + | 0.999999i | \(0.500348\pi\) | |||||||
\(84\) | 4.71429e10 | − | 4.08496e10i | 0.134196 | − | 0.116282i | ||||
\(85\) | 5.02951e9 | + | 1.10131e10i | 0.0133356 | + | 0.0292009i | ||||
\(86\) | 9.16610e10 | + | 1.42627e11i | 0.226565 | + | 0.352543i | ||||
\(87\) | 3.66606e10 | − | 2.54980e11i | 0.0845443 | − | 0.588018i | ||||
\(88\) | −4.17022e10 | + | 6.48898e10i | −0.0897971 | + | 0.139727i | ||||
\(89\) | 6.63629e11 | + | 5.75038e11i | 1.33532 | + | 1.15706i | 0.974490 | + | 0.224430i | \(0.0720520\pi\) |
0.360830 | + | 0.932632i | \(0.382493\pi\) | |||||||
\(90\) | 7.68823e10 | − | 2.61837e11i | 0.144668 | − | 0.492693i | ||||
\(91\) | − | 1.49966e11i | − | 0.264085i | ||||||
\(92\) | −3.39128e11 | − | 2.13869e11i | −0.559290 | − | 0.352712i | ||||
\(93\) | 4.86787e11 | 0.752387 | ||||||||
\(94\) | 3.60190e11 | + | 1.05761e11i | 0.522113 | + | 0.153306i | ||||
\(95\) | −1.10211e12 | + | 1.27191e12i | −1.49929 | + | 1.73027i | ||||
\(96\) | −4.90364e11 | − | 3.15138e11i | −0.626457 | − | 0.402600i | ||||
\(97\) | −1.12151e12 | − | 1.61249e11i | −1.34640 | − | 0.193582i | −0.568867 | − | 0.822430i | \(-0.692618\pi\) |
−0.777529 | + | 0.628847i | \(0.783527\pi\) | |||||||
\(98\) | 3.74581e11 | − | 2.40729e11i | 0.422853 | − | 0.271751i | ||||
\(99\) | −6.93424e10 | + | 3.16676e10i | −0.0736525 | + | 0.0336360i | ||||
\(100\) | −1.08382e12 | − | 1.25079e12i | −1.08382 | − | 1.25079i | ||||
\(101\) | 1.17750e11 | + | 8.18966e11i | 0.110925 | + | 0.771503i | 0.967023 | + | 0.254689i | \(0.0819731\pi\) |
−0.856098 | + | 0.516814i | \(0.827118\pi\) | |||||||
\(102\) | −7.43559e9 | − | 3.39572e9i | −0.00660259 | − | 0.00301530i | ||||
\(103\) | −4.08449e11 | − | 1.39105e12i | −0.342070 | − | 1.16498i | −0.933485 | − | 0.358616i | \(-0.883249\pi\) |
0.591415 | − | 0.806367i | \(-0.298569\pi\) | |||||||
\(104\) | −8.39332e11 | + | 2.46450e11i | −0.663336 | + | 0.194773i | ||||
\(105\) | −2.79805e11 | + | 6.12688e11i | −0.208795 | + | 0.457197i | ||||
\(106\) | −8.68330e11 | + | 1.24847e11i | −0.612139 | + | 0.0880122i | ||||
\(107\) | 7.11532e11 | − | 6.16546e11i | 0.474124 | − | 0.410831i | −0.384748 | − | 0.923022i | \(-0.625711\pi\) |
0.858872 | + | 0.512191i | \(0.171166\pi\) | |||||||
\(108\) | −4.66304e11 | − | 1.02106e12i | −0.293850 | − | 0.643443i | ||||
\(109\) | 1.40580e11 | + | 2.18747e11i | 0.0838235 | + | 0.130432i | 0.880634 | − | 0.473798i | \(-0.157117\pi\) |
−0.796810 | + | 0.604230i | \(0.793481\pi\) | |||||||
\(110\) | 4.71795e10 | − | 3.28141e11i | 0.0266316 | − | 0.185227i | ||||
\(111\) | −3.80403e10 | + | 5.91919e10i | −0.0203379 | + | 0.0316464i | ||||
\(112\) | −5.42314e10 | − | 4.69918e10i | −0.0274753 | − | 0.0238075i | ||||
\(113\) | −6.73073e11 | + | 2.29228e12i | −0.323290 | + | 1.10102i | 0.624208 | + | 0.781259i | \(0.285422\pi\) |
−0.947497 | + | 0.319764i | \(0.896396\pi\) | |||||||
\(114\) | − | 1.13627e12i | − | 0.517671i | ||||||
\(115\) | 4.29024e12 | + | 5.79442e11i | 1.85479 | + | 0.250509i | ||||
\(116\) | −1.31628e12 | −0.540257 | ||||||||
\(117\) | −8.29501e11 | − | 2.43564e11i | −0.323372 | − | 0.0949505i | ||||
\(118\) | −1.66196e12 | + | 1.91801e12i | −0.615644 | + | 0.710491i | ||||
\(119\) | −1.51341e10 | − | 9.72610e9i | −0.00532936 | − | 0.00342497i | ||||
\(120\) | 3.88893e12 | + | 5.59144e11i | 1.30240 | + | 0.187256i | ||||
\(121\) | 2.56231e12 | − | 1.64670e12i | 0.816430 | − | 0.524688i | ||||
\(122\) | 7.54177e11 | − | 3.44421e11i | 0.228725 | − | 0.104455i | ||||
\(123\) | −1.59205e12 | − | 1.83733e12i | −0.459755 | − | 0.530586i | ||||
\(124\) | −3.53987e11 | − | 2.46204e12i | −0.0973773 | − | 0.677274i | ||||
\(125\) | 9.76128e12 | + | 4.45783e12i | 2.55886 | + | 1.16859i | ||||
\(126\) | 1.14239e11 | + | 3.89061e11i | 0.0285489 | + | 0.0972286i | ||||
\(127\) | −7.42047e12 | + | 2.17885e12i | −1.76852 | + | 0.519283i | −0.993617 | − | 0.112803i | \(-0.964017\pi\) |
−0.774898 | + | 0.632086i | \(0.782199\pi\) | |||||||
\(128\) | −1.34197e12 | + | 2.93849e12i | −0.305128 | + | 0.668136i | ||||
\(129\) | −2.38781e12 | + | 3.43315e11i | −0.518157 | + | 0.0744998i | ||||
\(130\) | 2.84134e12 | − | 2.46204e12i | 0.588658 | − | 0.510075i | ||||
\(131\) | −8.68619e11 | − | 1.90201e12i | −0.171871 | − | 0.376344i | 0.804021 | − | 0.594601i | \(-0.202690\pi\) |
−0.975891 | + | 0.218257i | \(0.929963\pi\) | |||||||
\(132\) | −2.36181e11 | − | 3.67504e11i | −0.0446479 | − | 0.0694734i | ||||
\(133\) | 3.55888e11 | − | 2.47526e12i | 0.0642990 | − | 0.447209i | ||||
\(134\) | 7.23760e11 | − | 1.12619e12i | 0.125016 | − | 0.194529i | ||||
\(135\) | 9.16009e12 | + | 7.93726e12i | 1.51320 | + | 1.31120i | ||||
\(136\) | −2.95642e10 | + | 1.00687e11i | −0.00467233 | + | 0.0159125i | ||||
\(137\) | − | 9.45591e12i | − | 1.43015i | −0.699050 | − | 0.715073i | \(-0.746394\pi\) | ||
0.699050 | − | 0.715073i | \(-0.253606\pi\) | |||||||
\(138\) | −2.44529e12 | + | 1.60121e12i | −0.354043 | + | 0.231832i | ||||
\(139\) | 8.07662e11 | 0.111980 | 0.0559900 | − | 0.998431i | \(-0.482168\pi\) | ||||
0.0559900 | + | 0.998431i | \(0.482168\pi\) | |||||||
\(140\) | 3.30228e12 | + | 9.69638e11i | 0.438577 | + | 0.128778i | ||||
\(141\) | −3.49789e12 | + | 4.03678e12i | −0.445134 | + | 0.513712i | ||||
\(142\) | −8.33850e10 | − | 5.35883e10i | −0.0101709 | − | 0.00653641i | ||||
\(143\) | −1.03955e12 | − | 1.49465e11i | −0.121571 | − | 0.0174793i | ||||
\(144\) | −3.48003e11 | + | 2.23648e11i | −0.0390308 | + | 0.0250836i | ||||
\(145\) | 1.29285e13 | − | 5.90426e12i | 1.39104 | − | 0.635269i | ||||
\(146\) | −6.63027e12 | − | 7.65174e12i | −0.684564 | − | 0.790029i | ||||
\(147\) | 9.01646e11 | + | 6.27109e12i | 0.0893577 | + | 0.621497i | ||||
\(148\) | 3.27039e11 | + | 1.49354e11i | 0.0311193 | + | 0.0142117i | ||||
\(149\) | −2.67701e12 | − | 9.11706e12i | −0.244643 | − | 0.833177i | −0.986660 | − | 0.162796i | \(-0.947949\pi\) |
0.742017 | − | 0.670381i | \(-0.233869\pi\) | |||||||
\(150\) | −1.15768e13 | + | 3.39927e12i | −1.01635 | + | 0.298427i | ||||
\(151\) | −8.30141e12 | + | 1.81776e13i | −0.700310 | + | 1.53346i | 0.139286 | + | 0.990252i | \(0.455519\pi\) |
−0.839596 | + | 0.543212i | \(0.817208\pi\) | |||||||
\(152\) | −1.44384e13 | + | 2.07593e12i | −1.17074 | + | 0.168326i | ||||
\(153\) | −7.83774e10 | + | 6.79144e10i | −0.00611001 | + | 0.00529436i | ||||
\(154\) | 2.04631e11 | + | 4.48080e11i | 0.0153408 | + | 0.0335916i | ||||
\(155\) | 1.45205e13 | + | 2.25943e13i | 1.04711 | + | 1.62933i | ||||
\(156\) | 7.05063e11 | − | 4.90382e12i | 0.0489193 | − | 0.340241i | ||||
\(157\) | 5.39951e12 | − | 8.40180e12i | 0.360543 | − | 0.561015i | −0.612838 | − | 0.790208i | \(-0.709972\pi\) |
0.973381 | + | 0.229193i | \(0.0736087\pi\) | |||||||
\(158\) | 5.40817e12 | + | 4.68621e12i | 0.347623 | + | 0.301217i | ||||
\(159\) | 3.51668e12 | − | 1.19767e13i | 0.217645 | − | 0.741232i | ||||
\(160\) | − | 3.21607e13i | − | 1.91693i | ||||||
\(161\) | −5.82833e12 | + | 2.72218e12i | −0.334648 | + | 0.156301i | ||||
\(162\) | −3.22417e12 | −0.178372 | ||||||||
\(163\) | −1.58803e13 | − | 4.66288e12i | −0.846707 | − | 0.248616i | −0.170528 | − | 0.985353i | \(-0.554547\pi\) |
−0.676179 | + | 0.736737i | \(0.736366\pi\) | |||||||
\(164\) | −8.13497e12 | + | 9.38825e12i | −0.418112 | + | 0.482527i | ||||
\(165\) | 3.96824e12 | + | 2.55023e12i | 0.196650 | + | 0.126379i | ||||
\(166\) | 3.45731e12 | + | 4.97086e11i | 0.165230 | + | 0.0237565i | ||||
\(167\) | 2.35757e13 | − | 1.51512e13i | 1.08684 | − | 0.698470i | 0.130713 | − | 0.991420i | \(-0.458273\pi\) |
0.956128 | + | 0.292950i | \(0.0946369\pi\) | |||||||
\(168\) | −5.31038e12 | + | 2.42517e12i | −0.236194 | + | 0.107866i | ||||
\(169\) | 7.45726e12 | + | 8.60614e12i | 0.320080 | + | 0.369392i | ||||
\(170\) | −6.41850e10 | − | 4.46416e11i | −0.00265913 | − | 0.0184947i | ||||
\(171\) | −1.31133e13 | − | 5.98865e12i | −0.524488 | − | 0.239526i | ||||
\(172\) | 3.47279e12 | + | 1.18272e13i | 0.134124 | + | 0.456786i | ||||
\(173\) | −3.30308e13 | + | 9.69870e12i | −1.23209 | + | 0.361774i | −0.832038 | − | 0.554719i | \(-0.812826\pi\) |
−0.400051 | + | 0.916493i | \(0.631007\pi\) | |||||||
\(174\) | −3.98631e12 | + | 8.72880e12i | −0.143640 | + | 0.314528i | ||||
\(175\) | −2.62836e13 | + | 3.77902e12i | −0.915076 | + | 0.131568i | ||||
\(176\) | −3.79794e11 | + | 3.29093e11i | −0.0127783 | + | 0.0110724i | ||||
\(177\) | −1.50011e13 | − | 3.28478e13i | −0.487846 | − | 1.06823i | ||||
\(178\) | −1.76846e13 | − | 2.75178e13i | −0.556001 | − | 0.865155i | ||||
\(179\) | −4.46362e12 | + | 3.10451e13i | −0.135696 | + | 0.943790i | 0.802245 | + | 0.596995i | \(0.203639\pi\) |
−0.937941 | + | 0.346794i | \(0.887270\pi\) | |||||||
\(180\) | 1.07267e13 | − | 1.66910e13i | 0.315376 | − | 0.490735i | ||||
\(181\) | −4.29420e12 | − | 3.72095e12i | −0.122127 | − | 0.105824i | 0.591656 | − | 0.806190i | \(-0.298474\pi\) |
−0.713783 | + | 0.700367i | \(0.753020\pi\) | |||||||
\(182\) | −1.57387e12 | + | 5.36011e12i | −0.0433052 | + | 0.147484i | ||||
\(183\) | 1.17971e13i | 0.314100i | ||||||||
\(184\) | 2.48137e13 | + | 2.81466e13i | 0.639418 | + | 0.725301i | ||||
\(185\) | −3.88212e12 | −0.0968364 | ||||||||
\(186\) | −1.73988e13 | − | 5.10876e12i | −0.420187 | − | 0.123378i | ||||
\(187\) | −8.25041e10 | + | 9.52148e10i | −0.00192942 | + | 0.00222667i | ||||
\(188\) | 2.29605e13 | + | 1.47558e13i | 0.520038 | + | 0.334208i | ||||
\(189\) | −1.78264e13 | − | 2.56306e12i | −0.391106 | − | 0.0562325i | ||||
\(190\) | 5.27404e13 | − | 3.38942e13i | 1.12104 | − | 0.720450i | ||||
\(191\) | 3.29892e13 | − | 1.50657e13i | 0.679471 | − | 0.310304i | −0.0456179 | − | 0.998959i | \(-0.514526\pi\) |
0.725089 | + | 0.688655i | \(0.241798\pi\) | |||||||
\(192\) | 1.18716e13 | + | 1.37005e13i | 0.236974 | + | 0.273483i | ||||
\(193\) | −2.76499e11 | − | 1.92309e12i | −0.00534995 | − | 0.0372097i | 0.986972 | − | 0.160895i | \(-0.0514379\pi\) |
−0.992322 | + | 0.123685i | \(0.960529\pi\) | |||||||
\(194\) | 3.83929e13 | + | 1.75335e13i | 0.720180 | + | 0.328895i | ||||
\(195\) | 1.50713e13 | + | 5.13280e13i | 0.274121 | + | 0.933570i | ||||
\(196\) | 3.10618e13 | − | 9.12056e12i | 0.547886 | − | 0.160874i | ||||
\(197\) | 2.15095e13 | − | 4.70993e13i | 0.367988 | − | 0.805781i | −0.631548 | − | 0.775336i | \(-0.717580\pi\) |
0.999536 | − | 0.0304450i | \(-0.00969243\pi\) | |||||||
\(198\) | 2.81080e12 | − | 4.04131e11i | 0.0466485 | − | 0.00670705i | ||||
\(199\) | 2.89654e13 | − | 2.50987e13i | 0.466403 | − | 0.404140i | −0.389703 | − | 0.920940i | \(-0.627422\pi\) |
0.856106 | + | 0.516800i | \(0.172877\pi\) | |||||||
\(200\) | 6.43443e13 | + | 1.40894e14i | 1.00538 | + | 2.20148i | ||||
\(201\) | 1.02982e13 | + | 1.60243e13i | 0.156166 | + | 0.242998i | ||||
\(202\) | 4.38630e12 | − | 3.05074e13i | 0.0645640 | − | 0.449053i | ||||
\(203\) | −1.14177e13 | + | 1.77663e13i | −0.163156 | + | 0.253875i | ||||
\(204\) | −4.49152e11 | − | 3.89192e11i | −0.00623178 | − | 0.00539987i | ||||
\(205\) | 3.77902e13 | − | 1.28702e14i | 0.509162 | − | 1.73405i | ||||
\(206\) | 5.40058e13i | 0.706704i | ||||||||
\(207\) | 5.59118e12 | + | 3.66592e13i | 0.0710691 | + | 0.465973i | ||||
\(208\) | −5.69917e12 | −0.0703772 | ||||||||
\(209\) | −1.68036e13 | − | 4.93398e12i | −0.201616 | − | 0.0591997i | ||||
\(210\) | 1.64309e13 | − | 1.89623e13i | 0.191578 | − | 0.221093i | ||||
\(211\) | −1.32179e14 | − | 8.49461e13i | −1.49784 | − | 0.962606i | −0.995174 | − | 0.0981278i | \(-0.968715\pi\) |
−0.502670 | − | 0.864478i | \(-0.667649\pi\) | |||||||
\(212\) | −6.31322e13 | − | 9.07704e12i | −0.695402 | − | 0.0999836i | ||||
\(213\) | 1.18647e12 | − | 7.62495e11i | 0.0127051 | − | 0.00816506i | ||||
\(214\) | −3.19023e13 | + | 1.45693e13i | −0.332154 | + | 0.151690i | ||||
\(215\) | −8.71617e13 | − | 1.00590e14i | −0.882460 | − | 1.01841i | ||||
\(216\) | 1.49506e13 | + | 1.03984e14i | 0.147209 | + | 1.02386i | ||||
\(217\) | −3.63015e13 | − | 1.65783e13i | −0.347669 | − | 0.158775i | ||||
\(218\) | −2.72893e12 | − | 9.29388e12i | −0.0254246 | − | 0.0865881i | ||||
\(219\) | 1.38227e14 | − | 4.05870e13i | 1.25293 | − | 0.367893i | ||||
\(220\) | 1.00127e13 | − | 2.19248e13i | 0.0883111 | − | 0.193374i | ||||
\(221\) | −1.41425e12 | + | 2.03338e11i | −0.0121387 | + | 0.00174528i | ||||
\(222\) | 1.98086e12 | − | 1.71642e12i | 0.0165476 | − | 0.0143386i | ||||
\(223\) | 3.64681e13 | + | 7.98539e13i | 0.296540 | + | 0.649332i | 0.997989 | − | 0.0633876i | \(-0.0201904\pi\) |
−0.701449 | + | 0.712720i | \(0.747463\pi\) | |||||||
\(224\) | 2.58357e13 | + | 4.02012e13i | 0.204519 | + | 0.318237i | ||||
\(225\) | −2.17852e13 | + | 1.51519e14i | −0.167906 | + | 1.16781i | ||||
\(226\) | 4.81142e13 | − | 7.48672e13i | 0.361096 | − | 0.561877i | ||||
\(227\) | −8.27715e13 | − | 7.17219e13i | −0.604959 | − | 0.524200i | 0.297643 | − | 0.954677i | \(-0.403800\pi\) |
−0.902601 | + | 0.430478i | \(0.858345\pi\) | |||||||
\(228\) | 2.32748e13 | − | 7.92667e13i | 0.165683 | − | 0.564263i | ||||
\(229\) | 2.23571e14i | 1.55025i | 0.631807 | + | 0.775126i | \(0.282313\pi\) | ||||
−0.631807 | + | 0.775126i | \(0.717687\pi\) | |||||||
\(230\) | −1.47262e14 | − | 6.57361e13i | −0.994770 | − | 0.444055i | ||||
\(231\) | −7.00901e12 | −0.0461302 | ||||||||
\(232\) | 1.18198e14 | + | 3.47061e13i | 0.758024 | + | 0.222576i | ||||
\(233\) | 1.44988e14 | − | 1.67326e14i | 0.906146 | − | 1.04575i | −0.0926014 | − | 0.995703i | \(-0.529518\pi\) |
0.998747 | − | 0.0500445i | \(-0.0159363\pi\) | |||||||
\(234\) | 2.70920e13 | + | 1.74110e13i | 0.165024 | + | 0.106054i | ||||
\(235\) | −2.91707e14 | − | 4.19412e13i | −1.73197 | − | 0.249020i | ||||
\(236\) | −1.55226e14 | + | 9.97579e13i | −0.898449 | + | 0.577398i | ||||
\(237\) | −9.26202e13 | + | 4.22982e13i | −0.522656 | + | 0.238689i | ||||
\(238\) | 4.38852e11 | + | 5.06463e11i | 0.00241466 | + | 0.00278667i | ||||
\(239\) | −3.64963e13 | − | 2.53838e14i | −0.195822 | − | 1.36197i | −0.816245 | − | 0.577706i | \(-0.803948\pi\) |
0.620423 | − | 0.784267i | \(-0.286961\pi\) | |||||||
\(240\) | 2.32841e13 | + | 1.06335e13i | 0.121841 | + | 0.0556427i | ||||
\(241\) | −9.21083e12 | − | 3.13692e13i | −0.0470107 | − | 0.160104i | 0.932642 | − | 0.360802i | \(-0.117497\pi\) |
−0.979653 | + | 0.200698i | \(0.935679\pi\) | |||||||
\(242\) | −1.08864e14 | + | 3.19654e13i | −0.541993 | + | 0.159143i | ||||
\(243\) | −7.24419e13 | + | 1.58626e14i | −0.351846 | + | 0.770435i | ||||
\(244\) | 5.96665e13 | − | 8.57874e12i | 0.282743 | − | 0.0406523i | ||||
\(245\) | −2.64179e14 | + | 2.28912e14i | −1.22152 | + | 1.05845i | ||||
\(246\) | 3.76210e13 | + | 8.23784e13i | 0.169754 | + | 0.371709i | ||||
\(247\) | −1.07377e14 | − | 1.67082e14i | −0.472857 | − | 0.735780i | ||||
\(248\) | −3.31290e13 | + | 2.30417e14i | −0.142396 | + | 0.990388i | ||||
\(249\) | −2.68694e13 | + | 4.18096e13i | −0.112736 | + | 0.175420i | ||||
\(250\) | −3.02105e14 | − | 2.61776e14i | −1.23742 | − | 1.07223i | ||||
\(251\) | 1.03569e14 | − | 3.52722e14i | 0.414177 | − | 1.41056i | −0.443457 | − | 0.896296i | \(-0.646248\pi\) |
0.857634 | − | 0.514261i | \(-0.171934\pi\) | |||||||
\(252\) | 2.94810e13i | 0.115117i | ||||||||
\(253\) | 1.30611e13 | + | 4.31146e13i | 0.0498031 | + | 0.164400i | ||||
\(254\) | 2.88090e14 | 1.07282 | ||||||||
\(255\) | 6.15733e12 | + | 1.80795e12i | 0.0223950 | + | 0.00657577i | ||||
\(256\) | 1.70544e14 | − | 1.96819e14i | 0.605895 | − | 0.699241i | ||||
\(257\) | 1.00939e14 | + | 6.48696e13i | 0.350316 | + | 0.225135i | 0.703950 | − | 0.710249i | \(-0.251418\pi\) |
−0.353634 | + | 0.935384i | \(0.615054\pi\) | |||||||
\(258\) | 8.89486e13 | + | 1.27889e13i | 0.301593 | + | 0.0433625i | ||||
\(259\) | 4.85269e12 | − | 3.11863e12i | 0.0160762 | − | 0.0103316i | ||||
\(260\) | 2.48644e14 | − | 1.13552e14i | 0.804891 | − | 0.367581i | ||||
\(261\) | 7.97263e13 | + | 9.20090e13i | 0.252208 | + | 0.291063i | ||||
\(262\) | 1.10850e13 | + | 7.70981e13i | 0.0342712 | + | 0.238361i | ||||
\(263\) | 1.88119e14 | + | 8.59112e13i | 0.568459 | + | 0.259606i | 0.678844 | − | 0.734282i | \(-0.262481\pi\) |
−0.110385 | + | 0.993889i | \(0.535208\pi\) | |||||||
\(264\) | 1.15184e13 | + | 3.92282e13i | 0.0340228 | + | 0.115871i | ||||
\(265\) | 6.60801e14 | − | 1.94029e14i | 1.90808 | − | 0.560262i | ||||
\(266\) | −3.86977e13 | + | 8.47362e13i | −0.109243 | + | 0.239210i | ||||
\(267\) | 4.60693e14 | − | 6.62376e13i | 1.27158 | − | 0.182826i | ||||
\(268\) | 7.35579e13 | − | 6.37383e13i | 0.198527 | − | 0.172025i | ||||
\(269\) | 2.07220e14 | + | 4.53749e14i | 0.546913 | + | 1.19757i | 0.958209 | + | 0.286070i | \(0.0923490\pi\) |
−0.411296 | + | 0.911502i | \(0.634924\pi\) | |||||||
\(270\) | −2.44101e14 | − | 3.79829e14i | −0.630068 | − | 0.980405i | ||||
\(271\) | −1.04504e13 | + | 7.26842e13i | −0.0263826 | + | 0.183495i | −0.998751 | − | 0.0499546i | \(-0.984092\pi\) |
0.972369 | + | 0.233450i | \(0.0750014\pi\) | |||||||
\(272\) | −3.69623e11 | + | 5.75144e11i | −0.000912736 | + | 0.00142024i | ||||
\(273\) | −6.00727e13 | − | 5.20533e13i | −0.145111 | − | 0.125740i | ||||
\(274\) | −9.92384e13 | + | 3.37975e14i | −0.234518 | + | 0.798696i | ||||
\(275\) | 1.85962e14i | 0.429961i | ||||||||
\(276\) | −2.03382e14 | + | 6.16124e13i | −0.460107 | + | 0.139384i | ||||
\(277\) | −5.69972e14 | −1.26176 | −0.630878 | − | 0.775882i | \(-0.717305\pi\) | ||||
−0.630878 | + | 0.775882i | \(0.717305\pi\) | |||||||
\(278\) | −2.88676e13 | − | 8.47629e12i | −0.0625377 | − | 0.0183627i | ||||
\(279\) | −1.50658e14 | + | 1.73868e14i | −0.319423 | + | 0.368633i | ||||
\(280\) | −2.70969e14 | − | 1.74141e14i | −0.562305 | − | 0.361372i | ||||
\(281\) | −2.37148e14 | − | 3.40967e13i | −0.481705 | − | 0.0692588i | −0.102815 | − | 0.994700i | \(-0.532785\pi\) |
−0.378890 | + | 0.925442i | \(0.623694\pi\) | |||||||
\(282\) | 1.67388e14 | − | 1.07573e14i | 0.332835 | − | 0.213900i | ||||
\(283\) | 5.50801e14 | − | 2.51543e14i | 1.07220 | − | 0.489658i | 0.200499 | − | 0.979694i | \(-0.435744\pi\) |
0.871702 | + | 0.490036i | \(0.163016\pi\) | |||||||
\(284\) | −4.71928e12 | − | 5.44634e12i | −0.00899426 | − | 0.0103799i | ||||
\(285\) | 1.26950e14 | + | 8.82960e14i | 0.236900 | + | 1.64768i | ||||
\(286\) | 3.55872e13 | + | 1.62521e13i | 0.0650276 | + | 0.0296971i | ||||
\(287\) | 5.61520e13 | + | 1.91236e14i | 0.100479 | + | 0.342199i | ||||
\(288\) | 2.64324e14 | − | 7.76125e13i | 0.463214 | − | 0.136012i | ||||
\(289\) | 2.41959e14 | − | 5.29816e14i | 0.415293 | − | 0.909364i | ||||
\(290\) | −5.24058e14 | + | 7.53482e13i | −0.881032 | + | 0.126673i | ||||
\(291\) | −4.53869e14 | + | 3.93280e14i | −0.747434 | + | 0.647655i | ||||
\(292\) | −3.05795e14 | − | 6.69598e14i | −0.493325 | − | 1.08023i | ||||
\(293\) | 6.59719e14 | + | 1.02654e15i | 1.04269 | + | 1.62245i | 0.744100 | + | 0.668068i | \(0.232879\pi\) |
0.298586 | + | 0.954383i | \(0.403485\pi\) | |||||||
\(294\) | 3.35873e13 | − | 2.33605e14i | 0.0520106 | − | 0.361741i | ||||
\(295\) | 1.07717e15 | − | 1.67610e15i | 1.63437 | − | 2.54313i | ||||
\(296\) | −2.54292e13 | − | 2.20345e13i | −0.0378079 | − | 0.0327607i | ||||
\(297\) | −3.55338e13 | + | 1.21017e14i | −0.0517730 | + | 0.176323i | ||||
\(298\) | 3.53959e14i | 0.505423i | ||||||||
\(299\) | −2.08252e14 | + | 4.66525e14i | −0.291449 | + | 0.652902i | ||||
\(300\) | −8.77231e14 | −1.20333 | ||||||||
\(301\) | 1.89760e14 | + | 5.57186e13i | 0.255156 | + | 0.0749205i | ||||
\(302\) | 4.87481e14 | − | 5.62583e14i | 0.642564 | − | 0.741558i | ||||
\(303\) | 3.68929e14 | + | 2.37096e14i | 0.476746 | + | 0.306386i | ||||
\(304\) | −9.40676e13 | − | 1.35249e13i | −0.119179 | − | 0.0171353i | ||||
\(305\) | −5.47565e14 | + | 3.51899e14i | −0.680200 | + | 0.437138i | ||||
\(306\) | 3.51413e12 | − | 1.60485e12i | 0.00428045 | − | 0.00195482i | ||||
\(307\) | −2.73448e14 | − | 3.15576e14i | −0.326621 | − | 0.376941i | 0.568561 | − | 0.822641i | \(-0.307500\pi\) |
−0.895182 | + | 0.445700i | \(0.852955\pi\) | |||||||
\(308\) | 5.09689e12 | + | 3.54497e13i | 0.00597037 | + | 0.0415248i | ||||
\(309\) | −6.98994e14 | − | 3.19220e14i | −0.803013 | − | 0.366724i | ||||
\(310\) | −2.81870e14 | − | 9.59962e14i | −0.317599 | − | 1.08164i | ||||
\(311\) | −5.06419e14 | + | 1.48698e14i | −0.559690 | + | 0.164340i | −0.549328 | − | 0.835607i | \(-0.685116\pi\) |
−0.0103614 | + | 0.999946i | \(0.503298\pi\) | |||||||
\(312\) | −1.92611e14 | + | 4.21759e14i | −0.208811 | + | 0.457232i | ||||
\(313\) | −3.38451e14 | + | 4.86619e13i | −0.359940 | + | 0.0517515i | −0.319913 | − | 0.947447i | \(-0.603654\pi\) |
−0.0400273 | + | 0.999199i | \(0.512744\pi\) | |||||||
\(314\) | −2.81166e14 | + | 2.43632e14i | −0.293349 | + | 0.254189i | ||||
\(315\) | −1.32239e14 | − | 2.89563e14i | −0.135362 | − | 0.296401i | ||||
\(316\) | 2.81286e14 | + | 4.37689e14i | 0.282504 | + | 0.439585i | ||||
\(317\) | 2.36590e14 | − | 1.64552e15i | 0.233153 | − | 1.62162i | −0.451171 | − | 0.892437i | \(-0.648994\pi\) |
0.684324 | − | 0.729178i | \(-0.260097\pi\) | |||||||
\(318\) | −2.51387e14 | + | 3.91167e14i | −0.243098 | + | 0.378267i | ||||
\(319\) | 1.11775e14 | + | 9.68535e13i | 0.106072 | + | 0.0919118i | ||||
\(320\) | −2.81793e14 | + | 9.59698e14i | −0.262440 | + | 0.893789i | ||||
\(321\) | − | 4.99026e14i | − | 0.456135i | ||||||
\(322\) | 2.36886e14 | − | 3.61293e13i | 0.212522 | − | 0.0324134i | ||||
\(323\) | −2.38254e13 | −0.0209810 | ||||||||
\(324\) | −2.24919e14 | − | 6.60421e13i | −0.194426 | − | 0.0570888i | ||||
\(325\) | −1.38107e15 | + | 1.59384e15i | −1.17197 | + | 1.35252i | ||||
\(326\) | 5.18661e14 | + | 3.33323e14i | 0.432094 | + | 0.277690i | ||||
\(327\) | 1.36420e14 | + | 1.96143e13i | 0.111582 | + | 0.0160430i | ||||
\(328\) | 9.78036e14 | − | 6.28545e14i | 0.785438 | − | 0.504770i | ||||
\(329\) | 3.98329e14 | − | 1.81911e14i | 0.314099 | − | 0.143444i | ||||
\(330\) | −1.15069e14 | − | 1.32797e14i | −0.0890995 | − | 0.102826i | ||||
\(331\) | −6.49744e13 | − | 4.51907e14i | −0.0494054 | − | 0.343622i | −0.999499 | − | 0.0316566i | \(-0.989922\pi\) |
0.950093 | − | 0.311966i | \(-0.100987\pi\) | |||||||
\(332\) | 2.31001e14 | + | 1.05494e14i | 0.172498 | + | 0.0787773i | ||||
\(333\) | −9.36861e12 | − | 3.19066e13i | −0.00687084 | − | 0.0233999i | ||||
\(334\) | −1.00166e15 | + | 2.94113e14i | −0.721507 | + | 0.211854i | ||||
\(335\) | −4.36585e14 | + | 9.55988e14i | −0.308887 | + | 0.676369i | ||||
\(336\) | −3.76475e13 | + | 5.41290e12i | −0.0261638 | + | 0.00376179i | ||||
\(337\) | −2.94944e14 | + | 2.55570e14i | −0.201354 | + | 0.174474i | −0.749701 | − | 0.661777i | \(-0.769803\pi\) |
0.548347 | + | 0.836251i | \(0.315257\pi\) | |||||||
\(338\) | −1.76219e14 | − | 3.85865e14i | −0.118182 | − | 0.258783i | ||||
\(339\) | 6.84606e14 | + | 1.06527e15i | 0.451069 | + | 0.701876i | ||||
\(340\) | 4.66659e12 | − | 3.24568e13i | 0.00302083 | − | 0.0210103i | ||||
\(341\) | −1.51100e14 | + | 2.35116e14i | −0.0961033 | + | 0.149540i | ||||
\(342\) | 4.05848e14 | + | 3.51670e14i | 0.253634 | + | 0.219775i | ||||
\(343\) | 3.15783e14 | − | 1.07546e15i | 0.193920 | − | 0.660432i | ||||
\(344\) | − | 1.15362e15i | − | 0.696164i | ||||||
\(345\) | 1.72126e15 | − | 1.51744e15i | 1.02078 | − | 0.899907i | ||||
\(346\) | 1.28238e15 | 0.747411 | ||||||||
\(347\) | 6.86628e14 | + | 2.01612e14i | 0.393319 | + | 0.115489i | 0.472411 | − | 0.881378i | \(-0.343384\pi\) |
−0.0790919 | + | 0.996867i | \(0.525202\pi\) | |||||||
\(348\) | −4.56882e14 | + | 5.27270e14i | −0.257234 | + | 0.296864i | ||||
\(349\) | −1.35690e15 | − | 8.72028e14i | −0.750924 | − | 0.482590i | 0.108345 | − | 0.994113i | \(-0.465445\pi\) |
−0.859269 | + | 0.511524i | \(0.829081\pi\) | |||||||
\(350\) | 9.79095e14 | + | 1.40773e14i | 0.532619 | + | 0.0765790i | ||||
\(351\) | −1.20330e15 | + | 7.73314e14i | −0.643474 | + | 0.413536i | ||||
\(352\) | 3.04421e14 | − | 1.39024e14i | 0.160036 | − | 0.0730861i | ||||
\(353\) | −5.38239e14 | − | 6.21161e14i | −0.278181 | − | 0.321038i | 0.599416 | − | 0.800438i | \(-0.295400\pi\) |
−0.877596 | + | 0.479400i | \(0.840854\pi\) | |||||||
\(354\) | 1.91439e14 | + | 1.33149e15i | 0.0972770 | + | 0.676576i | ||||
\(355\) | 7.07828e13 | + | 3.23254e13i | 0.0353637 | + | 0.0161501i | ||||
\(356\) | −6.70023e14 | − | 2.28189e15i | −0.329147 | − | 1.12097i | ||||
\(357\) | −9.14910e12 | + | 2.68642e12i | −0.00441946 | + | 0.00129767i | ||||
\(358\) | 4.85354e14 | − | 1.06278e15i | 0.230547 | − | 0.504828i | ||||
\(359\) | −3.19121e15 | + | 4.58826e14i | −1.49069 | + | 0.214329i | −0.838991 | − | 0.544146i | \(-0.816854\pi\) |
−0.651702 | + | 0.758475i | \(0.725945\pi\) | |||||||
\(360\) | −1.40331e15 | + | 1.21598e15i | −0.644673 | + | 0.558612i | ||||
\(361\) | −4.56358e14 | − | 9.99285e14i | −0.206188 | − | 0.451488i | ||||
\(362\) | 1.14433e14 | + | 1.78062e14i | 0.0508512 | + | 0.0791261i | ||||
\(363\) | 2.29753e14 | − | 1.59797e15i | 0.100420 | − | 0.698439i | ||||
\(364\) | −2.19587e14 | + | 3.41684e14i | −0.0944057 | + | 0.146898i | ||||
\(365\) | 6.00705e15 | + | 5.20514e15i | 2.54041 | + | 2.20128i | ||||
\(366\) | 1.23809e14 | − | 4.21654e14i | 0.0515068 | − | 0.175416i | ||||
\(367\) | 1.78394e15i | 0.730103i | 0.930987 | + | 0.365051i | \(0.118949\pi\) | ||||
−0.930987 | + | 0.365051i | \(0.881051\pi\) | |||||||
\(368\) | 1.03452e14 | + | 2.21495e14i | 0.0416534 | + | 0.0891819i | ||||
\(369\) | 1.14898e15 | 0.455148 | ||||||||
\(370\) | 1.38756e14 | + | 4.07423e13i | 0.0540804 | + | 0.0158794i | ||||
\(371\) | −6.70138e14 | + | 7.73381e14i | −0.256993 | + | 0.296585i | ||||
\(372\) | −1.10910e15 | − | 7.12776e14i | −0.418517 | − | 0.268965i | ||||
\(373\) | 3.58353e15 | + | 5.15234e14i | 1.33063 | + | 0.191316i | 0.770687 | − | 0.637214i | \(-0.219913\pi\) |
0.559945 | + | 0.828530i | \(0.310822\pi\) | |||||||
\(374\) | 3.94815e12 | − | 2.53732e12i | 0.00144266 | − | 0.000927140i | ||||
\(375\) | 5.17385e15 | − | 2.36282e15i | 1.86048 | − | 0.849655i | ||||
\(376\) | −1.67273e15 | − | 1.93043e15i | −0.591968 | − | 0.683167i | ||||
\(377\) | 2.38703e14 | + | 1.66022e15i | 0.0831401 | + | 0.578252i | ||||
\(378\) | 6.10258e14 | + | 2.78695e14i | 0.209200 | + | 0.0955386i | ||||
\(379\) | −1.75632e14 | − | 5.98149e14i | −0.0592610 | − | 0.201825i | 0.924541 | − | 0.381082i | \(-0.124449\pi\) |
−0.983802 | + | 0.179258i | \(0.942630\pi\) | |||||||
\(380\) | 4.37345e15 | − | 1.28416e15i | 1.45252 | − | 0.426499i | ||||
\(381\) | −1.70286e15 | + | 3.72874e15i | −0.556709 | + | 1.21902i | ||||
\(382\) | −1.33722e15 | + | 1.92263e14i | −0.430350 | + | 0.0618750i | ||||
\(383\) | 1.98031e15 | − | 1.71595e15i | 0.627395 | − | 0.543641i | −0.282085 | − | 0.959390i | \(-0.591026\pi\) |
0.909479 | + | 0.415749i | \(0.136480\pi\) | |||||||
\(384\) | 7.11292e14 | + | 1.55751e15i | 0.221851 | + | 0.485785i | ||||
\(385\) | −2.09074e14 | − | 3.25325e14i | −0.0642000 | − | 0.0998971i | ||||
\(386\) | −1.02999e13 | + | 7.16374e13i | −0.00311393 | + | 0.0216579i | ||||
\(387\) | 6.16389e14 | − | 9.59119e14i | 0.183480 | − | 0.285500i | ||||
\(388\) | 2.31915e15 | + | 2.00956e15i | 0.679734 | + | 0.588993i | ||||
\(389\) | 1.59818e14 | − | 5.44291e14i | 0.0461242 | − | 0.157085i | −0.933211 | − | 0.359329i | \(-0.883005\pi\) |
0.979335 | + | 0.202245i | \(0.0648236\pi\) | |||||||
\(390\) | − | 1.99275e15i | − | 0.566324i | ||||||
\(391\) | 3.35741e13 | + | 5.12729e13i | 0.00939602 | + | 0.0143492i | ||||
\(392\) | −3.02974e15 | −0.835005 | ||||||||
\(393\) | −1.06340e15 | − | 3.12242e14i | −0.288629 | − | 0.0847492i | ||||
\(394\) | −1.26310e15 | + | 1.45769e15i | −0.337645 | + | 0.389663i | ||||
\(395\) | −4.72607e15 | − | 3.03726e15i | −1.24428 | − | 0.799650i | ||||
\(396\) | 2.04360e14 | + | 2.93825e13i | 0.0529937 | + | 0.00761934i | ||||
\(397\) | −3.80548e15 | + | 2.44563e15i | −0.972000 | + | 0.624667i | −0.927294 | − | 0.374334i | \(-0.877871\pi\) |
−0.0447061 | + | 0.999000i | \(0.514235\pi\) | |||||||
\(398\) | −1.29869e15 | + | 5.93094e14i | −0.326745 | + | 0.149219i | ||||
\(399\) | −8.67999e14 | − | 1.00172e15i | −0.215121 | − | 0.248262i | ||||
\(400\) | 1.43615e14 | + | 9.98861e14i | 0.0350621 | + | 0.243863i | ||||
\(401\) | −4.75080e15 | − | 2.16962e15i | −1.14262 | − | 0.521815i | −0.248048 | − | 0.968748i | \(-0.579789\pi\) |
−0.894568 | + | 0.446932i | \(0.852517\pi\) | |||||||
\(402\) | −1.99908e14 | − | 6.80823e14i | −0.0473667 | − | 0.161316i | ||||
\(403\) | −3.04116e15 | + | 8.92966e14i | −0.709920 | + | 0.208451i | ||||
\(404\) | 9.30886e14 | − | 2.03836e15i | 0.214096 | − | 0.468805i | ||||
\(405\) | 2.50539e15 | − | 3.60221e14i | 0.567735 | − | 0.0816279i | ||||
\(406\) | 5.94548e14 | − | 5.15179e14i | 0.132749 | − | 0.115028i | ||||
\(407\) | −1.67816e13 | − | 3.67467e13i | −0.00369205 | − | 0.00808447i | ||||
\(408\) | 3.00708e13 | + | 4.67911e13i | 0.00651905 | + | 0.0101438i | ||||
\(409\) | 1.27202e15 | − | 8.84707e15i | 0.271740 | − | 1.88999i | −0.158632 | − | 0.987338i | \(-0.550708\pi\) |
0.430371 | − | 0.902652i | \(-0.358383\pi\) | |||||||
\(410\) | −2.70141e15 | + | 4.20347e15i | −0.568705 | + | 0.884922i | ||||
\(411\) | −3.78781e15 | − | 3.28216e15i | −0.785846 | − | 0.680939i | ||||
\(412\) | −1.10623e15 | + | 3.76746e15i | −0.226183 | + | 0.770309i | ||||
\(413\) | 2.96047e15i | 0.596568i | ||||||||
\(414\) | 1.84892e14 | − | 1.36896e15i | 0.0367212 | − | 0.271887i | ||||
\(415\) | −2.74209e15 | −0.536777 | ||||||||
\(416\) | 3.64160e15 | + | 1.06927e15i | 0.702640 | + | 0.206314i | ||||
\(417\) | 2.80340e14 | − | 3.23530e14i | 0.0533174 | − | 0.0615315i | ||||
\(418\) | 5.48816e14 | + | 3.52703e14i | 0.102889 | + | 0.0661228i | ||||
\(419\) | −6.19060e15 | − | 8.90074e14i | −1.14406 | − | 0.164491i | −0.455887 | − | 0.890038i | \(-0.650678\pi\) |
−0.688173 | + | 0.725547i | \(0.741587\pi\) | |||||||
\(420\) | 1.53464e15 | − | 9.86252e14i | 0.279583 | − | 0.179677i | ||||
\(421\) | −5.54199e15 | + | 2.53094e15i | −0.995344 | + | 0.454558i | −0.845399 | − | 0.534136i | \(-0.820637\pi\) |
−0.149945 | + | 0.988694i | \(0.547910\pi\) | |||||||
\(422\) | 3.83286e15 | + | 4.42336e15i | 0.678654 | + | 0.783208i | ||||
\(423\) | −3.59261e14 | − | 2.49871e15i | −0.0627144 | − | 0.436188i | ||||
\(424\) | 5.42976e15 | + | 2.47969e15i | 0.934513 | + | 0.426778i | ||||
\(425\) | 7.12758e13 | + | 2.42743e14i | 0.0120951 | + | 0.0411921i | ||||
\(426\) | −5.04092e13 | + | 1.48015e13i | −0.00843435 | + | 0.00247655i | ||||
\(427\) | 4.01770e14 | − | 8.79753e14i | 0.0662842 | − | 0.145142i | ||||
\(428\) | −2.52394e15 | + | 3.62888e14i | −0.410597 | + | 0.0590350i | ||||
\(429\) | −4.20701e14 | + | 3.64540e14i | −0.0674885 | + | 0.0584791i | ||||
\(430\) | 2.05967e15 | + | 4.51005e15i | 0.325827 | + | 0.713462i | ||||
\(431\) | −5.51767e15 | − | 8.58566e15i | −0.860780 | − | 1.33940i | −0.939516 | − | 0.342504i | \(-0.888725\pi\) |
0.0787368 | − | 0.996895i | \(-0.474911\pi\) | |||||||
\(432\) | −9.74042e13 | + | 6.77461e14i | −0.0149856 | + | 0.104227i | ||||
\(433\) | −6.97297e14 | + | 1.08502e15i | −0.105801 | + | 0.164630i | −0.890117 | − | 0.455732i | \(-0.849378\pi\) |
0.784316 | + | 0.620361i | \(0.213014\pi\) | |||||||
\(434\) | 1.12351e15 | + | 9.73526e14i | 0.168127 | + | 0.145683i | ||||
\(435\) | 2.12240e15 | − | 7.22823e15i | 0.313250 | − | 1.06683i | ||||
\(436\) | − | 7.04241e14i | − | 0.102519i | ||||||
\(437\) | −4.54443e15 | + | 7.20602e15i | −0.652515 | + | 1.03468i | ||||
\(438\) | −5.36647e15 | −0.760054 | ||||||||
\(439\) | −1.10753e15 | − | 3.25201e14i | −0.154728 | − | 0.0454323i | 0.203451 | − | 0.979085i | \(-0.434784\pi\) |
−0.358179 | + | 0.933653i | \(0.616602\pi\) | |||||||
\(440\) | −1.47720e15 | + | 1.70478e15i | −0.203574 | + | 0.234937i | ||||
\(441\) | −2.51893e15 | − | 1.61882e15i | −0.342440 | − | 0.220073i | ||||
\(442\) | 5.26824e13 | + | 7.57458e12i | 0.00706532 | + | 0.00101584i | ||||
\(443\) | 6.75288e15 | − | 4.33981e15i | 0.893442 | − | 0.574181i | −0.0113964 | − | 0.999935i | \(-0.503628\pi\) |
0.904839 | + | 0.425755i | \(0.139991\pi\) | |||||||
\(444\) | 1.73343e14 | − | 7.91631e13i | 0.0226260 | − | 0.0103330i | ||||
\(445\) | 1.68166e16 | + | 1.94073e16i | 2.16559 | + | 2.49923i | ||||
\(446\) | −4.65393e14 | − | 3.23688e15i | −0.0591304 | − | 0.411261i | ||||
\(447\) | −4.58127e15 | − | 2.09219e15i | −0.574302 | − | 0.262275i | ||||
\(448\) | −4.18713e14 | − | 1.42600e15i | −0.0517903 | − | 0.176381i | ||||
\(449\) | 1.25287e16 | − | 3.67877e15i | 1.52908 | − | 0.448977i | 0.594309 | − | 0.804237i | \(-0.297426\pi\) |
0.934768 | + | 0.355259i | \(0.115607\pi\) | |||||||
\(450\) | 2.36883e15 | − | 5.18700e15i | 0.285271 | − | 0.624657i | ||||
\(451\) | 1.38160e15 | − | 1.98644e14i | 0.164181 | − | 0.0236056i | ||||
\(452\) | 4.89000e15 | − | 4.23721e15i | 0.573427 | − | 0.496877i | ||||
\(453\) | 4.40006e15 | + | 9.63479e15i | 0.509178 | + | 1.11494i | ||||
\(454\) | 2.20572e15 | + | 3.43217e15i | 0.251893 | + | 0.391953i | ||||
\(455\) | 6.24141e14 | − | 4.34100e15i | 0.0703420 | − | 0.489239i | ||||
\(456\) | −4.18002e15 | + | 6.50425e15i | −0.464932 | + | 0.723449i | ||||
\(457\) | 2.84103e15 | + | 2.46176e15i | 0.311873 | + | 0.270240i | 0.796706 | − | 0.604367i | \(-0.206574\pi\) |
−0.484833 | + | 0.874607i | \(0.661120\pi\) | |||||||
\(458\) | 2.34634e15 | − | 7.99091e15i | 0.254213 | − | 0.865772i | ||||
\(459\) | 1.71587e14i | 0.0183488i | ||||||||
\(460\) | −8.92650e15 | − | 7.60218e15i | −0.942181 | − | 0.802401i | ||||
\(461\) | −4.18342e15 | −0.435839 | −0.217919 | − | 0.975967i | \(-0.569927\pi\) | ||||
−0.217919 | + | 0.975967i | \(0.569927\pi\) | |||||||
\(462\) | 2.50518e14 | + | 7.35586e13i | 0.0257624 | + | 0.00756452i | ||||
\(463\) | 5.66347e15 | − | 6.53600e15i | 0.574906 | − | 0.663477i | −0.391596 | − | 0.920137i | \(-0.628077\pi\) |
0.966502 | + | 0.256661i | \(0.0826222\pi\) | |||||||
\(464\) | 6.75175e14 | + | 4.33908e14i | 0.0676563 | + | 0.0434801i | ||||
\(465\) | 1.40908e16 | + | 2.02595e15i | 1.39386 | + | 0.200407i | ||||
\(466\) | −6.93827e15 | + | 4.45895e15i | −0.677541 | + | 0.435429i | ||||
\(467\) | 6.85126e15 | − | 3.12887e15i | 0.660494 | − | 0.301638i | −0.0568229 | − | 0.998384i | \(-0.518097\pi\) |
0.717317 | + | 0.696747i | \(0.245370\pi\) | |||||||
\(468\) | 1.53331e15 | + | 1.76953e15i | 0.145933 | + | 0.168416i | ||||
\(469\) | −2.22240e14 | − | 1.54572e15i | −0.0208827 | − | 0.145242i | ||||
\(470\) | 9.98609e15 | + | 4.56050e15i | 0.926421 | + | 0.423082i | ||||
\(471\) | −1.49138e15 | − | 5.07919e15i | −0.136604 | − | 0.465231i | ||||
\(472\) | 1.65692e16 | − | 4.86516e15i | 1.49847 | − | 0.439992i | ||||
\(473\) | 5.75363e14 | − | 1.25987e15i | 0.0513777 | − | 0.112502i | ||||
\(474\) | 3.75436e15 | − | 5.39796e14i | 0.331029 | − | 0.0475948i | ||||
\(475\) | −2.65777e16 | + | 2.30297e16i | −2.31396 | + | 2.00505i | ||||
\(476\) | 2.02403e13 | + | 4.43201e13i | 0.00174011 | + | 0.00381030i | ||||
\(477\) | 3.18939e15 | + | 4.96278e15i | 0.270768 | + | 0.421323i | ||||
\(478\) | −1.35953e15 | + | 9.45573e15i | −0.113978 | + | 0.792735i | ||||
\(479\) | 8.15521e15 | − | 1.26897e16i | 0.675184 | − | 1.05061i | −0.319496 | − | 0.947588i | \(-0.603514\pi\) |
0.994679 | − | 0.103018i | \(-0.0328501\pi\) | |||||||
\(480\) | −1.28828e16 | − | 1.11630e16i | −1.05333 | − | 0.912713i | ||||
\(481\) | 1.29072e14 | − | 4.39578e14i | 0.0104222 | − | 0.0354949i | ||||
\(482\) | 1.21787e15i | 0.0971223i | ||||||||
\(483\) | −9.32578e14 | + | 3.27956e15i | −0.0734518 | + | 0.258305i | ||||
\(484\) | −8.24916e15 | −0.641708 | ||||||||
\(485\) | −3.17928e16 | − | 9.33520e15i | −2.44274 | − | 0.717254i | ||||
\(486\) | 4.25399e15 | − | 4.90936e15i | 0.322833 | − | 0.372570i | ||||
\(487\) | 1.02393e16 | + | 6.58040e15i | 0.767532 | + | 0.493263i | 0.864874 | − | 0.501988i | \(-0.167398\pi\) |
−0.0973428 | + | 0.995251i | \(0.531034\pi\) | |||||||
\(488\) | −5.58408e15 | − | 8.02869e14i | −0.413459 | − | 0.0594464i | ||||
\(489\) | −7.37991e15 | + | 4.74278e15i | −0.539756 | + | 0.346880i | ||||
\(490\) | 1.18447e16 | − | 5.40930e15i | 0.855753 | − | 0.390809i | ||||
\(491\) | 3.99173e15 | + | 4.60670e15i | 0.284886 | + | 0.328776i | 0.880098 | − | 0.474793i | \(-0.157477\pi\) |
−0.595211 | + | 0.803569i | \(0.702932\pi\) | |||||||
\(492\) | 9.37052e14 | + | 6.51734e15i | 0.0660653 | + | 0.459494i | ||||
\(493\) | 1.83026e14 | + | 8.35850e13i | 0.0127477 | + | 0.00582166i | ||||
\(494\) | 2.08439e15 | + | 7.09878e15i | 0.143423 | + | 0.488452i | ||||
\(495\) | −2.13902e15 | + | 6.28073e14i | −0.145407 | + | 0.0426952i | ||||
\(496\) | −6.30029e14 | + | 1.37957e15i | −0.0423127 | + | 0.0926519i | ||||
\(497\) | −1.14447e14 | + | 1.64550e13i | −0.00759393 | + | 0.00109184i | ||||
\(498\) | 1.39916e15 | − | 1.21238e15i | 0.0917255 | − | 0.0794806i | ||||
\(499\) | 7.00302e15 | + | 1.53345e16i | 0.453609 | + | 0.993266i | 0.988898 | + | 0.148597i | \(0.0474756\pi\) |
−0.535289 | + | 0.844669i | \(0.679797\pi\) | |||||||
\(500\) | −1.57129e16 | − | 2.44497e16i | −1.00562 | − | 1.56478i | ||||
\(501\) | 2.11395e15 | − | 1.47029e16i | 0.133681 | − | 0.929769i | ||||
\(502\) | −7.40354e15 | + | 1.15201e16i | −0.462612 | + | 0.719838i | ||||
\(503\) | 1.86028e15 | + | 1.61194e15i | 0.114860 | + | 0.0995269i | 0.710397 | − | 0.703801i | \(-0.248515\pi\) |
−0.595537 | + | 0.803328i | \(0.703061\pi\) | |||||||
\(504\) | 7.77320e14 | − | 2.64731e15i | 0.0474260 | − | 0.161518i | ||||
\(505\) | 2.41963e16i | 1.45882i | ||||||||
\(506\) | −1.43506e13 | − | 1.67809e15i | −0.000855001 | − | 0.0999795i | ||||
\(507\) | 6.03583e15 | 0.355377 | ||||||||
\(508\) | 2.00972e16 | + | 5.90108e15i | 1.16938 | + | 0.343360i | ||||
\(509\) | 1.38499e16 | − | 1.59837e16i | 0.796417 | − | 0.919114i | −0.201762 | − | 0.979435i | \(-0.564667\pi\) |
0.998179 | + | 0.0603204i | \(0.0192122\pi\) | |||||||
\(510\) | −2.01102e14 | − | 1.29241e14i | −0.0114287 | − | 0.00734476i | ||||
\(511\) | −1.16903e16 | − | 1.68081e15i | −0.656600 | − | 0.0944049i | ||||
\(512\) | 2.97008e15 | − | 1.90876e15i | 0.164873 | − | 0.105957i | ||||
\(513\) | −2.16962e16 | + | 9.90833e15i | −1.19036 | + | 0.543621i | ||||
\(514\) | −2.92698e15 | − | 3.37792e15i | −0.158724 | − | 0.183177i | ||||
\(515\) | −6.03381e15 | − | 4.19661e16i | −0.323406 | − | 2.24934i | ||||
\(516\) | 5.94311e15 | + | 2.71413e15i | 0.314859 | + | 0.143791i | ||||
\(517\) | −8.63993e14 | − | 2.94249e15i | −0.0452446 | − | 0.154089i | ||||
\(518\) | −2.06175e14 | + | 6.05385e13i | −0.0106723 | + | 0.00313367i | ||||
\(519\) | −7.57994e15 | + | 1.65977e16i | −0.387848 | + | 0.849268i | ||||
\(520\) | −2.53215e16 | + | 3.64068e15i | −1.28076 | + | 0.184146i | ||||
\(521\) | −2.34921e15 | + | 2.03560e15i | −0.117462 | + | 0.101781i | −0.711611 | − | 0.702574i | \(-0.752034\pi\) |
0.594150 | + | 0.804355i | \(0.297489\pi\) | |||||||
\(522\) | −1.88397e15 | − | 4.12532e15i | −0.0931217 | − | 0.203908i | ||||
\(523\) | −1.15040e16 | − | 1.79005e16i | −0.562131 | − | 0.874692i | 0.437569 | − | 0.899185i | \(-0.355839\pi\) |
−0.999700 | + | 0.0244924i | \(0.992203\pi\) | |||||||
\(524\) | −8.05940e14 | + | 5.60544e15i | −0.0389328 | + | 0.270783i | ||||
\(525\) | −7.60929e15 | + | 1.18403e16i | −0.363403 | + | 0.565466i | ||||
\(526\) | −5.82217e15 | − | 5.04494e15i | −0.274897 | − | 0.238200i | ||||
\(527\) | −1.07121e14 | + | 3.64819e14i | −0.00500045 | + | 0.0170300i | ||||
\(528\) | 2.66365e14i | 0.0122934i | ||||||||
\(529\) | 2.19114e16 | − | 3.74790e14i | 0.999854 | − | 0.0171023i | ||||
\(530\) | −2.56548e16 | −1.15748 | ||||||||
\(531\) | 1.63751e16 | + | 4.80817e15i | 0.730496 | + | 0.214493i | ||||
\(532\) | −4.43525e15 | + | 5.11855e15i | −0.195636 | + | 0.225776i | ||||
\(533\) | 1.33166e16 | + | 8.55807e15i | 0.580806 | + | 0.373261i | ||||
\(534\) | −1.71613e16 | − | 2.46742e15i | −0.740122 | − | 0.106413i | ||||
\(535\) | 2.31624e16 | − | 1.48856e16i | 0.987782 | − | 0.634809i | ||||
\(536\) | −8.28587e15 | + | 3.78403e15i | −0.349421 | + | 0.159575i | ||||
\(537\) | 1.08866e16 | + | 1.25638e16i | 0.453990 | + | 0.523933i | ||||
\(538\) | −2.64447e15 | − | 1.83927e16i | −0.109055 | − | 0.758494i | ||||
\(539\) | −3.30878e15 | − | 1.51107e15i | −0.134938 | − | 0.0616243i | ||||
\(540\) | −9.24835e15 | − | 3.14970e16i | −0.372994 | − | 1.27030i | ||||
\(541\) | −1.99048e16 | + | 5.84457e15i | −0.793914 | + | 0.233114i | −0.653448 | − | 0.756971i | \(-0.726678\pi\) |
−0.140466 | + | 0.990085i | \(0.544860\pi\) | |||||||
\(542\) | 1.13633e15 | − | 2.48822e15i | 0.0448239 | − | 0.0981506i | ||||
\(543\) | −2.98104e15 | + | 4.28609e14i | −0.116297 | + | 0.0167210i | ||||
\(544\) | 3.44086e14 | − | 2.98152e14i | 0.0132762 | − | 0.0115039i | ||||
\(545\) | 3.15892e15 | + | 6.91707e15i | 0.120548 | + | 0.263963i | ||||
\(546\) | 1.60084e15 | + | 2.49095e15i | 0.0604215 | + | 0.0940177i | ||||
\(547\) | 1.34382e15 | − | 9.34646e15i | 0.0501668 | − | 0.348918i | −0.949242 | − | 0.314546i | \(-0.898148\pi\) |
0.999409 | − | 0.0343721i | \(-0.0109431\pi\) | |||||||
\(548\) | −1.38458e16 | + | 2.15445e16i | −0.511251 | + | 0.795522i | ||||
\(549\) | −4.21362e15 | − | 3.65113e15i | −0.153894 | − | 0.133350i | ||||
\(550\) | 1.95165e15 | − | 6.64671e15i | 0.0705059 | − | 0.240121i | ||||
\(551\) | 2.79692e16i | 0.999471i | ||||||||
\(552\) | 1.98877e16 | − | 1.70075e14i | 0.702991 | − | 0.00601181i | ||||
\(553\) | 8.34757e15 | 0.291883 | ||||||||
\(554\) | 2.03721e16 | + | 5.98178e15i | 0.704655 | + | 0.206905i | ||||
\(555\) | −1.34749e15 | + | 1.55508e15i | −0.0461070 | + | 0.0532103i | ||||
\(556\) | −1.84019e15 | − | 1.18262e15i | −0.0622892 | − | 0.0400308i | ||||
\(557\) | 4.89018e16 | + | 7.03102e15i | 1.63755 | + | 0.235444i | 0.898743 | − | 0.438476i | \(-0.144482\pi\) |
0.738804 | + | 0.673920i | \(0.235391\pi\) | |||||||
\(558\) | 7.20955e15 | − | 4.63330e15i | 0.238838 | − | 0.153492i | ||||
\(559\) | 1.42879e16 | − | 6.52505e15i | 0.468270 | − | 0.213852i | ||||
\(560\) | −1.37424e15 | − | 1.58596e15i | −0.0445589 | − | 0.0514237i | ||||
\(561\) | 9.50350e12 | + | 6.60983e13i | 0.000304864 | + | 0.00212038i | ||||
\(562\) | 8.11835e15 | + | 3.70753e15i | 0.257662 | + | 0.117670i | ||||
\(563\) | 9.01608e14 | + | 3.07059e15i | 0.0283118 | + | 0.0964211i | 0.972437 | − | 0.233166i | \(-0.0749086\pi\) |
−0.944125 | + | 0.329587i | \(0.893090\pi\) | |||||||
\(564\) | 1.38805e16 | − | 4.07567e15i | 0.431250 | − | 0.126626i | ||||
\(565\) | −2.90234e16 | + | 6.35523e16i | −0.892190 | + | 1.95362i | ||||
\(566\) | −2.23268e16 | + | 3.21010e15i | −0.679090 | + | 0.0976383i | ||||
\(567\) | −2.84238e15 | + | 2.46294e15i | −0.0855430 | + | 0.0741234i | ||||
\(568\) | 2.80175e14 | + | 6.13498e14i | 0.00834334 | + | 0.0182694i | ||||
\(569\) | −8.08710e14 | − | 1.25838e15i | −0.0238297 | − | 0.0370798i | 0.829134 | − | 0.559049i | \(-0.188834\pi\) |
−0.852964 | + | 0.521970i | \(0.825197\pi\) | |||||||
\(570\) | 4.72905e15 | − | 3.28913e16i | 0.137887 | − | 0.959028i | ||||
\(571\) | 2.68743e16 | − | 4.18172e16i | 0.775390 | − | 1.20653i | −0.198631 | − | 0.980074i | \(-0.563649\pi\) |
0.974021 | − | 0.226457i | \(-0.0727141\pi\) | |||||||
\(572\) | 2.14967e15 | + | 1.86270e15i | 0.0613757 | + | 0.0531823i | ||||
\(573\) | 5.41564e15 | − | 1.84440e16i | 0.153011 | − | 0.521107i | ||||
\(574\) | − | 7.42451e15i | − | 0.207585i | ||||||
\(575\) | 8.70130e16 | + | 2.47431e16i | 2.40756 | + | 0.684615i | ||||
\(576\) | −8.56766e15 | −0.234600 | ||||||||
\(577\) | 2.57409e16 | + | 7.55820e15i | 0.697539 | + | 0.204816i | 0.611231 | − | 0.791453i | \(-0.290675\pi\) |
0.0863083 | + | 0.996268i | \(0.472493\pi\) | |||||||
\(578\) | −1.42085e16 | + | 1.63975e16i | −0.381049 | + | 0.439754i | ||||
\(579\) | −8.66317e14 | − | 5.56748e14i | −0.0229935 | − | 0.0147770i | ||||
\(580\) | −3.81018e16 | − | 5.47821e15i | −1.00087 | − | 0.143903i | ||||
\(581\) | 3.42764e15 | − | 2.20281e15i | 0.0891125 | − | 0.0572691i | ||||
\(582\) | 2.03497e16 | − | 9.29340e15i | 0.523625 | − | 0.239131i | ||||
\(583\) | 4.69311e15 | + | 5.41614e15i | 0.119522 | + | 0.137936i | ||||
\(584\) | 9.80436e15 | + | 6.81908e16i | 0.247140 | + | 1.71889i | ||||
\(585\) | −2.29975e16 | − | 1.05026e16i | −0.573781 | − | 0.262037i | ||||
\(586\) | −1.28064e16 | − | 4.36146e16i | −0.316258 | − | 1.07708i | ||||
\(587\) | −4.64254e16 | + | 1.36317e16i | −1.13482 | + | 0.333214i | −0.794601 | − | 0.607132i | \(-0.792320\pi\) |
−0.340220 | + | 0.940346i | \(0.610502\pi\) | |||||||
\(588\) | 7.12810e15 | − | 1.56084e16i | 0.172468 | − | 0.377653i | ||||
\(589\) | −5.23150e16 | + | 7.52176e15i | −1.25295 | + | 0.180147i | ||||
\(590\) | −5.60907e16 | + | 4.86029e16i | −1.32978 | + | 1.15226i | ||||
\(591\) | −1.14009e16 | − | 2.49644e16i | −0.267555 | − | 0.585864i | ||||
\(592\) | −1.18518e14 | − | 1.84417e14i | −0.00275330 | − | 0.00428422i | ||||
\(593\) | 4.03085e15 | − | 2.80351e16i | 0.0926975 | − | 0.644725i | −0.889509 | − | 0.456919i | \(-0.848953\pi\) |
0.982206 | − | 0.187807i | \(-0.0601378\pi\) | |||||||
\(594\) | 2.54011e15 | − | 3.95249e15i | 0.0578275 | − | 0.0899813i | ||||
\(595\) | −3.97602e14 | − | 3.44524e14i | −0.00896080 | − | 0.00776457i | ||||
\(596\) | −7.25029e15 | + | 2.46922e16i | −0.161762 | + | 0.550912i | ||||
\(597\) | − | 2.03146e16i | − | 0.448707i | ||||||
\(598\) | 1.23395e16 | − | 1.44891e16i | 0.269830 | − | 0.316835i | ||||
\(599\) | −2.80198e15 | −0.0606601 | −0.0303301 | − | 0.999540i | \(-0.509656\pi\) | ||||
−0.0303301 | + | 0.999540i | \(0.509656\pi\) | |||||||
\(600\) | 7.87729e16 | + | 2.31298e16i | 1.68838 | + | 0.495752i | ||||
\(601\) | −3.14076e16 | + | 3.62463e16i | −0.666480 | + | 0.769159i | −0.983821 | − | 0.179152i | \(-0.942665\pi\) |
0.317341 | + | 0.948311i | \(0.397210\pi\) | |||||||
\(602\) | −6.19768e15 | − | 3.98301e15i | −0.130212 | − | 0.0836820i | ||||
\(603\) | −8.91071e15 | − | 1.28117e15i | −0.185357 | − | 0.0266503i | ||||
\(604\) | 4.55304e16 | − | 2.92606e16i | 0.937735 | − | 0.602646i | ||||
\(605\) | 8.10234e16 | − | 3.70022e16i | 1.65226 | − | 0.754562i | ||||
\(606\) | −1.06980e16 | − | 1.23462e16i | −0.216007 | − | 0.249286i | ||||
\(607\) | −9.61499e15 | − | 6.68737e16i | −0.192228 | − | 1.33698i | −0.826094 | − | 0.563533i | \(-0.809442\pi\) |
0.633866 | − | 0.773443i | \(-0.281467\pi\) | |||||||
\(608\) | 5.75689e16 | + | 2.62908e16i | 1.13964 | + | 0.520455i | ||||
\(609\) | 3.15365e15 | + | 1.07403e16i | 0.0618172 | + | 0.210530i | ||||
\(610\) | 2.32643e16 | − | 6.83101e15i | 0.451555 | − | 0.132589i | ||||
\(611\) | 1.44477e16 | − | 3.16360e16i | 0.277684 | − | 0.608043i | ||||
\(612\) | 2.78019e14 | − | 3.99732e13i | 0.00529135 | − | 0.000760781i | ||||
\(613\) | −2.77107e16 | + | 2.40114e16i | −0.522257 | + | 0.452538i | −0.875657 | − | 0.482934i | \(-0.839571\pi\) |
0.353400 | + | 0.935472i | \(0.385025\pi\) | |||||||
\(614\) | 6.46171e15 | + | 1.41492e16i | 0.120597 | + | 0.264071i | ||||
\(615\) | −3.84377e16 | − | 5.98103e16i | −0.710406 | − | 1.10541i | ||||
\(616\) | 4.77009e14 | − | 3.31767e15i | 0.00873056 | − | 0.0607224i | ||||
\(617\) | −4.73072e16 | + | 7.36114e16i | −0.857465 | + | 1.33424i | 0.0837689 | + | 0.996485i | \(0.473304\pi\) |
−0.941234 | + | 0.337756i | \(0.890332\pi\) | |||||||
\(618\) | 2.16334e16 | + | 1.87455e16i | 0.388324 | + | 0.336485i | ||||
\(619\) | −1.93710e15 | + | 6.59715e15i | −0.0344356 | + | 0.117277i | −0.974917 | − | 0.222567i | \(-0.928556\pi\) |
0.940482 | + | 0.339844i | \(0.110374\pi\) | |||||||
\(620\) | − | 7.27408e16i | − | 1.28064i | ||||||
\(621\) | 5.18967e16 | + | 3.27283e16i | 0.904878 | + | 0.570655i | ||||
\(622\) | 1.96611e16 | 0.339520 | ||||||||
\(623\) | −3.66114e16 | − | 1.07501e16i | −0.626164 | − | 0.183858i | ||||
\(624\) | −1.97819e15 | + | 2.28295e15i | −0.0335089 | + | 0.0386713i | ||||
\(625\) | 1.38495e17 | + | 8.90056e16i | 2.32357 | + | 1.49327i | ||||
\(626\) | 1.26077e16 | + | 1.81271e15i | 0.209503 | + | 0.0301219i | ||||
\(627\) | −7.80897e15 | + | 5.01852e15i | −0.128525 | + | 0.0825982i | ||||
\(628\) | −2.46046e16 | + | 1.12366e16i | −0.401106 | + | 0.183179i | ||||
\(629\) | −3.59899e13 | − | 4.15346e13i | −0.000581135 | − | 0.000670666i | ||||
\(630\) | 1.68759e15 | + | 1.17374e16i | 0.0269912 | + | 0.187728i | ||||
\(631\) | −5.90661e16 | − | 2.69746e16i | −0.935755 | − | 0.427345i | −0.111628 | − | 0.993750i | \(-0.535606\pi\) |
−0.824127 | + | 0.566405i | \(0.808334\pi\) | |||||||
\(632\) | −1.37182e16 | − | 4.67198e16i | −0.215275 | − | 0.733160i | ||||
\(633\) | −7.99067e16 | + | 2.34627e16i | −1.24211 | + | 0.364717i | ||||
\(634\) | −2.57258e16 | + | 5.63315e16i | −0.396125 | + | 0.867393i | ||||
\(635\) | −2.23865e17 | + | 3.21870e16i | −3.41464 | + | 0.490950i | ||||
\(636\) | −2.55493e16 | + | 2.21386e16i | −0.386043 | + | 0.334508i | ||||
\(637\) | −1.71367e16 | − | 3.75241e16i | −0.256502 | − | 0.561661i | ||||
\(638\) | −2.97862e15 | − | 4.63482e15i | −0.0441662 | − | 0.0687240i | ||||
\(639\) | −9.48596e13 | + | 6.59763e14i | −0.00139340 | + | 0.00969131i | ||||
\(640\) | −5.10750e16 | + | 7.94742e16i | −0.743239 | + | 1.15650i | ||||
\(641\) | −7.06536e16 | − | 6.12217e16i | −1.01856 | − | 0.882587i | −0.0254381 | − | 0.999676i | \(-0.508098\pi\) |
−0.993121 | + | 0.117090i | \(0.962644\pi\) | |||||||
\(642\) | −5.23721e15 | + | 1.78363e16i | −0.0747980 | + | 0.254738i | ||||
\(643\) | − | 7.44413e16i | − | 1.05329i | −0.850085 | − | 0.526645i | \(-0.823450\pi\) | ||
0.850085 | − | 0.526645i | \(-0.176550\pi\) | |||||||
\(644\) | 1.72653e16 | + | 2.33186e15i | 0.242024 | + | 0.0326879i | ||||
\(645\) | −7.05478e16 | −0.979772 | ||||||||
\(646\) | 8.51572e14 | + | 2.50044e14i | 0.0117173 | + | 0.00344050i | ||||
\(647\) | 5.76839e16 | − | 6.65708e16i | 0.786373 | − | 0.907523i | −0.211179 | − | 0.977447i | \(-0.567730\pi\) |
0.997552 | + | 0.0699241i | \(0.0222757\pi\) | |||||||
\(648\) | 1.84557e16 | + | 1.18608e16i | 0.249277 | + | 0.160200i | ||||
\(649\) | 2.05217e16 | + | 2.95058e15i | 0.274628 | + | 0.0394856i | ||||
\(650\) | 6.60897e16 | − | 4.24733e16i | 0.876302 | − | 0.563165i | ||||
\(651\) | −1.92412e16 | + | 8.78715e15i | −0.252782 | + | 0.115441i | ||||
\(652\) | 2.93543e16 | + | 3.38766e16i | 0.382108 | + | 0.440976i | ||||
\(653\) | −3.43744e15 | − | 2.39079e16i | −0.0443360 | − | 0.308364i | −0.999907 | − | 0.0136041i | \(-0.995670\pi\) |
0.955571 | − | 0.294759i | \(-0.0952395\pi\) | |||||||
\(654\) | −4.67012e15 | − | 2.13277e15i | −0.0596845 | − | 0.0272570i | ||||
\(655\) | −1.72276e16 | − | 5.86718e16i | −0.218161 | − | 0.742988i | ||||
\(656\) | 7.26758e15 | − | 2.13395e15i | 0.0911941 | − | 0.0267770i | ||||
\(657\) | −2.82836e16 | + | 6.19324e16i | −0.351676 | + | 0.770063i | ||||
\(658\) | −1.61463e16 | + | 2.32149e15i | −0.198938 | + | 0.0286030i | ||||
\(659\) | −3.06970e16 | + | 2.65991e16i | −0.374786 | + | 0.324754i | −0.821803 | − | 0.569771i | \(-0.807032\pi\) |
0.447017 | + | 0.894525i | \(0.352486\pi\) | |||||||
\(660\) | −5.30711e15 | − | 1.16210e16i | −0.0642088 | − | 0.140598i | ||||
\(661\) | −2.18338e16 | − | 3.39741e16i | −0.261771 | − | 0.407323i | 0.685344 | − | 0.728220i | \(-0.259652\pi\) |
−0.947114 | + | 0.320897i | \(0.896016\pi\) | |||||||
\(662\) | −2.42037e15 | + | 1.68341e16i | −0.0287564 | + | 0.200005i | ||||
\(663\) | −4.09435e14 | + | 6.37093e14i | −0.00482063 | + | 0.00750104i | ||||
\(664\) | −1.79617e16 | − | 1.55639e16i | −0.209574 | − | 0.181597i | ||||
\(665\) | 2.06035e16 | − | 7.01691e16i | 0.238238 | − | 0.811365i | ||||
\(666\) | 1.23873e15i | 0.0141949i | ||||||||
\(667\) | 6.01904e16 | − | 3.94134e16i | 0.683553 | − | 0.447599i | ||||
\(668\) | −7.59003e16 | −0.854249 | ||||||||
\(669\) | 4.46456e16 | + | 1.31091e16i | 0.497992 | + | 0.146224i | ||||
\(670\) | 2.56375e16 | − | 2.95872e16i | 0.283417 | − | 0.327081i | ||||
\(671\) | −5.69795e15 | − | 3.66185e15i | −0.0624286 | − | 0.0401204i | ||||
\(672\) | 2.50712e16 | + | 3.60470e15i | 0.272245 | + | 0.0391429i | ||||
\(673\) | 9.57926e14 | − | 6.15622e14i | 0.0103096 | − | 0.00662558i | −0.535476 | − | 0.844551i | \(-0.679868\pi\) |
0.545785 | + | 0.837925i | \(0.316231\pi\) | |||||||
\(674\) | 1.32241e16 | − | 6.03925e15i | 0.141061 | − | 0.0644204i | ||||
\(675\) | 1.65856e17 | + | 1.91408e17i | 1.75351 | + | 2.02366i | ||||
\(676\) | −4.38920e15 | − | 3.05276e16i | −0.0459945 | − | 0.319899i | ||||
\(677\) | 1.24784e17 | + | 5.69868e16i | 1.29606 | + | 0.591892i | 0.939554 | − | 0.342400i | \(-0.111240\pi\) |
0.356508 | + | 0.934292i | \(0.383967\pi\) | |||||||
\(678\) | −1.32895e16 | − | 4.52599e16i | −0.136814 | − | 0.465945i | ||||
\(679\) | 4.72405e16 | − | 1.38711e16i | 0.482054 | − | 0.141544i | ||||
\(680\) | −1.27483e15 | + | 2.79149e15i | −0.0128943 | + | 0.0282346i | ||||
\(681\) | −5.74601e16 | + | 8.26152e15i | −0.576081 | + | 0.0828280i | ||||
\(682\) | 7.86816e15 | − | 6.81780e15i | 0.0781928 | − | 0.0677545i | ||||
\(683\) | 5.66504e16 | + | 1.24047e17i | 0.558057 | + | 1.22197i | 0.952917 | + | 0.303233i | \(0.0980660\pi\) |
−0.394860 | + | 0.918741i | \(0.629207\pi\) | |||||||
\(684\) | 2.11087e16 | + | 3.28457e16i | 0.206122 | + | 0.320732i | ||||
\(685\) | 3.93545e16 | − | 2.73716e17i | 0.380935 | − | 2.64946i | ||||
\(686\) | −2.25735e16 | + | 3.51251e16i | −0.216598 | + | 0.337033i | ||||
\(687\) | 8.95570e16 | + | 7.76016e16i | 0.851842 | + | 0.738126i | ||||
\(688\) | 2.11748e15 | − | 7.21148e15i | 0.0199659 | − | 0.0679976i | ||||
\(689\) | 8.12745e16i | 0.759694i | ||||||||
\(690\) | −7.74469e16 | + | 3.61724e16i | −0.717645 | + | 0.335184i | ||||
\(691\) | −1.32294e17 | −1.21527 | −0.607633 | − | 0.794218i | \(-0.707881\pi\) | ||||
−0.607633 | + | 0.794218i | \(0.707881\pi\) | |||||||
\(692\) | 8.94589e16 | + | 2.62675e16i | 0.814680 | + | 0.239212i | ||||
\(693\) | 2.16924e15 | − | 2.50344e15i | 0.0195844 | − | 0.0226015i | ||||
\(694\) | −2.24257e16 | − | 1.44121e16i | −0.200719 | − | 0.128995i | ||||
\(695\) | 2.33790e16 | + | 3.36140e15i | 0.207452 | + | 0.0298271i | ||||
\(696\) | 5.49291e16 | − | 3.53008e16i | 0.483223 | − | 0.310548i | ||||
\(697\) | 1.72731e15 | − | 7.88837e14i | 0.0150652 | − | 0.00688003i | ||||
\(698\) | 3.93469e16 | + | 4.54087e16i | 0.340234 | + | 0.392651i | ||||
\(699\) | −1.67010e16 | − | 1.16158e17i | −0.143179 | − | 0.995830i | ||||
\(700\) | 6.54183e16 | + | 2.98756e16i | 0.556047 | + | 0.253938i | ||||
\(701\) | −2.88186e16 | − | 9.81471e16i | −0.242865 | − | 0.827122i | −0.987223 | − | 0.159342i | \(-0.949063\pi\) |
0.744359 | − | 0.667780i | \(-0.232755\pi\) | |||||||
\(702\) | 5.11244e16 | − | 1.50115e16i | 0.427175 | − | 0.125430i | ||||
\(703\) | 3.17357e15 | − | 6.94914e15i | 0.0262915 | − | 0.0575704i | ||||
\(704\) | −1.03023e16 | + | 1.48124e15i | −0.0846246 | + | 0.0121672i | ||||
\(705\) | −1.18052e17 | + | 1.02293e17i | −0.961480 | + | 0.833127i | ||||
\(706\) | 1.27189e16 | + | 2.78504e16i | 0.102712 | + | 0.224907i | ||||
\(707\) | −1.94377e16 | − | 3.02456e16i | −0.155642 | − | 0.242184i | ||||
\(708\) | −1.39186e16 | + | 9.68060e16i | −0.110509 | + | 0.768604i | ||||
\(709\) | 9.06457e16 | − | 1.41048e17i | 0.713625 | − | 1.11042i | −0.275207 | − | 0.961385i | \(-0.588746\pi\) |
0.988832 | − | 0.149037i | \(-0.0476173\pi\) | |||||||
\(710\) | −2.19068e15 | − | 1.89824e15i | −0.0171013 | − | 0.0148184i | ||||
\(711\) | 1.35575e16 | − | 4.61726e16i | 0.104945 | − | 0.357410i | ||||
\(712\) | 2.22574e17i | 1.70842i | ||||||||
\(713\) | 8.99078e16 | + | 1.01984e17i | 0.684322 | + | 0.776236i | ||||
\(714\) | 3.55203e14 | 0.00268094 | ||||||||
\(715\) | −2.94694e16 | − | 8.65300e15i | −0.220564 | − | 0.0647635i | ||||
\(716\) | 5.56277e16 | − | 6.41978e16i | 0.412869 | − | 0.476477i | ||||
\(717\) | −1.14349e17 | − | 7.34877e16i | −0.841623 | − | 0.540878i | ||||
\(718\) | 1.18876e17 | + | 1.70918e16i | 0.867656 | + | 0.124750i | ||||
\(719\) | −1.26390e17 | + | 8.12257e16i | −0.914826 | + | 0.587923i | −0.911152 | − | 0.412070i | \(-0.864806\pi\) |
−0.00367379 | + | 0.999993i | \(0.501169\pi\) | |||||||
\(720\) | −1.10043e16 | + | 5.02549e15i | −0.0789891 | + | 0.0360731i | ||||
\(721\) | 4.12550e16 | + | 4.76108e16i | 0.293674 | + | 0.338918i | ||||
\(722\) | 5.82389e15 | + | 4.05061e16i | 0.0411141 | + | 0.285955i | ||||
\(723\) | −1.57628e16 | − | 7.19864e15i | −0.110358 | − | 0.0503989i | ||||
\(724\) | 4.33558e15 | + | 1.47656e16i | 0.0301034 | + | 0.102523i | ||||
\(725\) | 2.84962e17 | − | 8.36723e16i | 1.96227 | − | 0.576174i | ||||
\(726\) | −2.49823e16 | + | 5.47036e16i | −0.170613 | + | 0.373591i | ||||
\(727\) | 2.60824e17 | − | 3.75008e16i | 1.76661 | − | 0.254000i | 0.819082 | − | 0.573676i | \(-0.194483\pi\) |
0.947527 | + | 0.319676i | \(0.103574\pi\) | |||||||
\(728\) | 2.87274e16 | − | 2.48924e16i | 0.192978 | − | 0.167217i | ||||
\(729\) | 5.75050e16 | + | 1.25918e17i | 0.383125 | + | 0.838926i | ||||
\(730\) | −1.60078e17 | − | 2.49086e17i | −1.05778 | − | 1.64593i | ||||
\(731\) | 2.68157e14 | − | 1.86508e15i | 0.00175746 | − | 0.0122234i | ||||
\(732\) | 1.72738e16 | − | 2.68786e16i | 0.112285 | − | 0.174719i | ||||
\(733\) | −1.63102e17 | − | 1.41329e17i | −1.05156 | − | 0.911185i | −0.0553797 | − | 0.998465i | \(-0.517637\pi\) |
−0.996184 | + | 0.0872804i | \(0.972182\pi\) | |||||||
\(734\) | 1.87222e16 | − | 6.37620e16i | 0.119724 | − | 0.407742i | ||||
\(735\) | 1.85279e17i | 1.17517i | ||||||||
\(736\) | −2.45459e16 | − | 1.60938e17i | −0.154423 | − | 1.01249i | ||||
\(737\) | −1.09363e16 | −0.0682440 | ||||||||
\(738\) | −4.10669e16 | − | 1.20583e16i | −0.254188 | − | 0.0746362i | ||||
\(739\) | −1.26878e17 | + | 1.46424e17i | −0.778965 | + | 0.898974i | −0.997034 | − | 0.0769595i | \(-0.975479\pi\) |
0.218069 | + | 0.975933i | \(0.430024\pi\) | |||||||
\(740\) | 8.84507e15 | + | 5.68438e15i | 0.0538655 | + | 0.0346173i | ||||
\(741\) | −1.04200e17 | − | 1.49816e16i | −0.629444 | − | 0.0905004i | ||||
\(742\) | 3.20687e16 | − | 2.06093e16i | 0.192158 | − | 0.123492i | ||||
\(743\) | −3.15963e16 | + | 1.44296e16i | −0.187803 | + | 0.0857670i | −0.507097 | − | 0.861889i | \(-0.669282\pi\) |
0.319294 | + | 0.947656i | \(0.396554\pi\) | |||||||
\(744\) | 8.08005e16 | + | 9.32488e16i | 0.476405 | + | 0.549801i | ||||
\(745\) | −3.95461e16 | − | 2.75049e17i | −0.231295 | − | 1.60869i | ||||
\(746\) | −1.22676e17 | − | 5.60242e16i | −0.711748 | − | 0.325045i | ||||
\(747\) | −6.61742e15 | − | 2.25369e16i | −0.0380860 | − | 0.129709i | ||||
\(748\) | 3.27396e14 | − | 9.61323e13i | 0.00186924 | − | 0.000548857i | ||||
\(749\) | −1.69952e16 | + | 3.72142e16i | −0.0962575 | + | 0.210775i | ||||
\(750\) | −2.09722e17 | + | 3.01535e16i | −1.17836 | + | 0.169422i | ||||
\(751\) | −7.57283e15 | + | 6.56189e15i | −0.0422103 | + | 0.0365754i | −0.675710 | − | 0.737167i | \(-0.736163\pi\) |
0.633500 | + | 0.773743i | \(0.281618\pi\) | |||||||
\(752\) | −6.91319e15 | − | 1.51378e16i | −0.0382271 | − | 0.0837057i | ||||
\(753\) | −1.05343e17 | − | 1.63917e17i | −0.577879 | − | 0.899197i | ||||
\(754\) | 8.89197e15 | − | 6.18450e16i | 0.0483916 | − | 0.336571i | ||||
\(755\) | −3.15950e17 | + | 4.91628e17i | −1.70584 | + | 2.65433i | ||||
\(756\) | 3.68630e16 | + | 3.19420e16i | 0.197452 | + | 0.171093i | ||||
\(757\) | 3.72854e16 | − | 1.26983e17i | 0.198136 | − | 0.674790i | −0.799148 | − | 0.601135i | \(-0.794715\pi\) |
0.997284 | − | 0.0736551i | \(-0.0234664\pi\) | |||||||
\(758\) | 2.32224e16i | 0.122431i | ||||||||
\(759\) | 2.18042e16 | + | 9.73316e15i | 0.114048 | + | 0.0509100i | ||||
\(760\) | −4.26583e17 | −2.21372 | ||||||||
\(761\) | −2.92095e17 | − | 8.57668e16i | −1.50389 | − | 0.441582i | −0.576946 | − | 0.816782i | \(-0.695756\pi\) |
−0.926944 | + | 0.375200i | \(0.877574\pi\) | |||||||
\(762\) | 9.99964e16 | − | 1.15402e17i | 0.510804 | − | 0.589500i | ||||
\(763\) | −9.50538e15 | − | 6.10874e15i | −0.0481751 | − | 0.0309602i | ||||
\(764\) | −9.72227e16 | − | 1.39785e16i | −0.488886 | − | 0.0702912i | ||||
\(765\) | −2.55141e15 | + | 1.63969e15i | −0.0127295 | + | 0.00818076i | ||||
\(766\) | −8.87893e16 | + | 4.05487e16i | −0.439530 | + | 0.200726i | ||||
\(767\) | 1.53974e17 | + | 1.77696e17i | 0.756268 | + | 0.872780i | ||||
\(768\) | −1.96447e16 | − | 1.36632e17i | −0.0957366 | − | 0.665863i | ||||
\(769\) | 1.97323e17 | + | 9.01146e16i | 0.954159 | + | 0.435750i | 0.830775 | − | 0.556609i | \(-0.187898\pi\) |
0.123385 | + | 0.992359i | \(0.460625\pi\) | |||||||
\(770\) | 4.05851e15 | + | 1.38220e16i | 0.0194725 | + | 0.0663174i | ||||
\(771\) | 6.10212e16 | − | 1.79174e16i | 0.290506 | − | 0.0853001i | ||||
\(772\) | −2.18590e15 | + | 4.78646e15i | −0.0103259 | + | 0.0226105i | ||||
\(773\) | −3.12652e15 | + | 4.49526e14i | −0.0146550 | + | 0.00210707i | −0.149638 | − | 0.988741i | \(-0.547811\pi\) |
0.134983 | + | 0.990848i | \(0.456902\pi\) | |||||||
\(774\) | −3.20969e16 | + | 2.78121e16i | −0.149285 | + | 0.129357i | ||||
\(775\) | 2.33140e17 | + | 5.10505e17i | 1.07598 | + | 2.35608i | ||||
\(776\) | −1.55268e17 | − | 2.41601e17i | −0.711068 | − | 1.10644i | ||||
\(777\) | 4.35123e14 | − | 3.02635e15i | 0.00197736 | − | 0.0137529i | ||||
\(778\) | −1.14245e16 | + | 1.77769e16i | −0.0515181 | + | 0.0801638i | ||||
\(779\) | 1.99488e17 | + | 1.72857e17i | 0.892672 | + | 0.773504i | ||||
\(780\) | 4.08183e16 | − | 1.39014e17i | 0.181254 | − | 0.617294i | ||||
\(781\) | 8.09739e14i | 0.00356811i | ||||||||
\(782\) | −6.61910e14 | − | 2.18496e15i | −0.00289440 | − | 0.00955440i | ||||
\(783\) | 2.01430e17 | 0.874085 | ||||||||
\(784\) | −1.89394e16 | − | 5.56112e15i | −0.0815588 | − | 0.0239478i | ||||
\(785\) | 1.91265e17 | − | 2.20731e17i | 0.817367 | − | 0.943292i | ||||
\(786\) | 3.47313e16 | + | 2.23204e16i | 0.147294 | + | 0.0946601i | ||||
\(787\) | 3.36543e16 | + | 4.83875e15i | 0.141642 | + | 0.0203650i | 0.212771 | − | 0.977102i | \(-0.431751\pi\) |
−0.0711292 | + | 0.997467i | \(0.522660\pi\) | |||||||
\(788\) | −1.17973e17 | + | 7.58164e16i | −0.492747 | + | 0.316669i | ||||
\(789\) | 9.97103e16 | − | 4.55362e16i | 0.413312 | − | 0.188753i | ||||
\(790\) | 1.37045e17 | + | 1.58158e17i | 0.563767 | + | 0.650622i | ||||
\(791\) | −1.47741e16 | − | 1.02756e17i | −0.0603175 | − | 0.419517i | ||||
\(792\) | −1.75762e16 | − | 8.02678e15i | −0.0712154 | − | 0.0325230i | ||||
\(793\) | −2.16407e16 | − | 7.37014e16i | −0.0870225 | − | 0.296372i | ||||
\(794\) | 1.61683e17 | − | 4.74743e16i | 0.645269 | − | 0.189468i | ||||
\(795\) | 1.51641e17 | − | 3.32049e17i | 0.600641 | − | 1.31522i | ||||
\(796\) | −1.02746e17 | + | 1.47726e16i | −0.403911 | + | 0.0580736i | ||||
\(797\) | −2.21235e17 | + | 1.91701e17i | −0.863185 | + | 0.747954i | −0.969165 | − | 0.246414i | \(-0.920748\pi\) |
0.105980 | + | 0.994368i | \(0.466202\pi\) | |||||||
\(798\) | 2.05112e16 | + | 4.49134e16i | 0.0794282 | + | 0.173923i | ||||
\(799\) | −2.25560e15 | − | 3.50978e15i | −0.00866925 | − | 0.0134896i | ||||
\(800\) | 9.56395e16 | − | 6.65187e17i | 0.364836 | − | 2.53749i | ||||
\(801\) | −1.18923e17 | + | 1.85048e17i | −0.450268 | + | 0.700630i | ||||
\(802\) | 1.47034e17 | + | 1.27406e17i | 0.552551 | + | 0.478788i | ||||
\(803\) | −2.33025e16 | + | 7.93612e16i | −0.0869181 | + | 0.296016i | ||||
\(804\) | − | 5.15891e16i | − | 0.190995i | ||||||
\(805\) | −1.80040e17 | + | 5.45410e16i | −0.661596 | + | 0.200423i | ||||
\(806\) | 1.18069e17 | 0.430653 | ||||||||
\(807\) | 2.53687e17 | + | 7.44892e16i | 0.918453 | + | 0.269682i | ||||
\(808\) | −1.37336e17 | + | 1.58494e17i | −0.493533 | + | 0.569568i | ||||
\(809\) | 3.51564e16 | + | 2.25936e16i | 0.125405 | + | 0.0805926i | 0.601839 | − | 0.798617i | \(-0.294435\pi\) |
−0.476435 | + | 0.879210i | \(0.658071\pi\) | |||||||
\(810\) | −9.33287e16 | − | 1.34186e16i | −0.330449 | − | 0.0475114i | ||||
\(811\) | −1.07536e17 | + | 6.91090e16i | −0.377944 | + | 0.242890i | −0.715796 | − | 0.698309i | \(-0.753936\pi\) |
0.337852 | + | 0.941199i | \(0.390300\pi\) | |||||||
\(812\) | 5.20284e16 | − | 2.37606e16i | 0.181512 | − | 0.0828936i | ||||
\(813\) | 2.54882e16 | + | 2.94149e16i | 0.0882665 | + | 0.101865i | ||||
\(814\) | 2.14162e14 | + | 1.48953e15i | 0.000736199 | + | 0.00512038i | ||||
\(815\) | −4.40274e17 | − | 2.01067e17i | −1.50237 | − | 0.686111i | ||||
\(816\) | 1.02092e14 | + | 3.47695e14i | 0.000345822 | + | 0.00117776i | ||||
\(817\) | 2.51313e17 | − | 7.37922e16i | 0.845050 | − | 0.248129i | ||||
\(818\) | −1.38313e17 | + | 3.02864e17i | −0.461683 | + | 1.01095i | ||||
\(819\) | 3.71842e16 | − | 5.34628e15i | 0.123213 | − | 0.0177153i | ||||
\(820\) | −2.74552e17 | + | 2.37901e17i | −0.903113 | + | 0.782552i | ||||
\(821\) | −7.36893e16 | − | 1.61357e17i | −0.240628 | − | 0.526901i | 0.750332 | − | 0.661061i | \(-0.229894\pi\) |
−0.990960 | + | 0.134160i | \(0.957166\pi\) | |||||||
\(822\) | 1.00939e17 | + | 1.57064e17i | 0.327211 | + | 0.509150i | ||||
\(823\) | 5.92584e16 | − | 4.12151e17i | 0.190700 | − | 1.32635i | −0.639460 | − | 0.768824i | \(-0.720842\pi\) |
0.830160 | − | 0.557525i | \(-0.188249\pi\) | |||||||
\(824\) | 1.98672e17 | − | 3.09139e17i | 0.634707 | − | 0.987623i | ||||
\(825\) | 7.44920e16 | + | 6.45477e16i | 0.236258 | + | 0.204719i | ||||
\(826\) | 3.10697e16 | − | 1.05814e17i | 0.0978264 | − | 0.333166i | ||||
\(827\) | 2.39551e17i | 0.748799i | 0.927268 | + | 0.374399i | \(0.122151\pi\) | ||||
−0.927268 | + | 0.374399i | \(0.877849\pi\) | |||||||
\(828\) | 4.09391e16 | − | 9.17117e16i | 0.127045 | − | 0.284605i | ||||
\(829\) | −1.16221e17 | −0.358061 | −0.179030 | − | 0.983844i | \(-0.557296\pi\) | ||||
−0.179030 | + | 0.983844i | \(0.557296\pi\) | |||||||
\(830\) | 9.80085e16 | + | 2.87779e16i | 0.299775 | + | 0.0880218i | ||||
\(831\) | −1.97838e17 | + | 2.28317e17i | −0.600763 | + | 0.693318i | ||||
\(832\) | −9.92990e16 | − | 6.38156e16i | −0.299368 | − | 0.192392i | ||||
\(833\) | −4.89823e15 | − | 7.04260e14i | −0.0146612 | − | 0.00210796i | ||||
\(834\) | −1.34154e16 | + | 8.62153e15i | −0.0398663 | + | 0.0256205i | ||||
\(835\) | 7.45494e17 | − | 3.40456e17i | 2.19951 | − | 1.00448i | ||||
\(836\) | 3.10609e16 | + | 3.58462e16i | 0.0909865 | + | 0.105004i | ||||
\(837\) | 5.41706e16 | + | 3.76765e17i | 0.157547 | + | 1.09577i | ||||
\(838\) | 2.11924e17 | + | 9.67826e16i | 0.611951 | + | 0.279469i | ||||
\(839\) | −9.11804e16 | − | 3.10532e17i | −0.261414 | − | 0.890296i | −0.980690 | − | 0.195571i | \(-0.937344\pi\) |
0.719275 | − | 0.694725i | \(-0.244474\pi\) | |||||||
\(840\) | −1.63811e17 | + | 4.80991e16i | −0.466301 | + | 0.136918i | ||||
\(841\) | −4.88576e16 | + | 1.06983e17i | −0.138088 | + | 0.302371i | ||||
\(842\) | 2.24645e17 | − | 3.22990e16i | 0.630411 | − | 0.0906394i | ||||
\(843\) | −9.59726e16 | + | 8.31607e16i | −0.267412 | + | 0.231714i | ||||
\(844\) | 1.76775e17 | + | 3.87084e17i | 0.489066 | + | 1.07090i | ||||
\(845\) | 1.80044e17 | + | 2.80155e17i | 0.494583 | + | 0.769586i | ||||
\(846\) | −1.33829e16 | + | 9.30799e16i | −0.0365029 | + | 0.253883i | ||||
\(847\) | −7.15550e16 | + | 1.11342e17i | −0.193794 | + | 0.301549i | ||||
\(848\) | 2.93909e16 | + | 2.54674e16i | 0.0790383 | + | 0.0684871i | ||||
\(849\) | 9.04218e16 | − | 3.07948e17i | 0.241450 | − | 0.822303i | ||||
\(850\) | − | 9.42420e15i | − | 0.0249880i | ||||||
\(851\) | −1.94268e16 | + | 2.96294e15i | −0.0511476 | + | 0.00780090i | ||||
\(852\) | −3.81974e15 | −0.00998610 | ||||||||
\(853\) | 3.26613e17 | + | 9.59023e16i | 0.847890 | + | 0.248963i | 0.676685 | − | 0.736273i | \(-0.263416\pi\) |
0.171205 | + | 0.985235i | \(0.445234\pi\) | |||||||
\(854\) | −2.35930e16 | + | 2.72278e16i | −0.0608185 | + | 0.0701883i | ||||
\(855\) | −3.54661e17 | − | 2.27927e17i | −0.907856 | − | 0.583444i | ||||
\(856\) | 2.36211e17 | + | 3.39620e16i | 0.600423 | + | 0.0863278i | ||||
\(857\) | 4.06342e17 | − | 2.61140e17i | 1.02567 | − | 0.659156i | 0.0842655 | − | 0.996443i | \(-0.473146\pi\) |
0.941402 | + | 0.337287i | \(0.109509\pi\) | |||||||
\(858\) | 1.88626e16 | − | 8.61425e15i | 0.0472800 | − | 0.0215920i | ||||
\(859\) | 1.13107e16 | + | 1.30532e16i | 0.0281533 | + | 0.0324907i | 0.769652 | − | 0.638464i | \(-0.220430\pi\) |
−0.741498 | + | 0.670955i | \(0.765884\pi\) | |||||||
\(860\) | 5.13017e16 | + | 3.56811e17i | 0.126806 | + | 0.881958i | ||||
\(861\) | 9.60950e16 | + | 4.38851e16i | 0.235875 | + | 0.107720i | ||||
\(862\) | 1.07108e17 | + | 3.64777e17i | 0.261084 | + | 0.889169i | ||||
\(863\) | 2.00510e17 | − | 5.88752e16i | 0.485369 | − | 0.142517i | −0.0298874 | − | 0.999553i | \(-0.509515\pi\) |
0.515256 | + | 0.857036i | \(0.327697\pi\) | |||||||
\(864\) | 1.89343e17 | − | 4.14603e17i | 0.455162 | − | 0.996667i | ||||
\(865\) | −9.96492e17 | + | 1.43274e17i | −2.37891 | + | 0.342035i | ||||
\(866\) | 3.63100e16 | − | 3.14628e16i | 0.0860833 | − | 0.0745916i | ||||
\(867\) | −1.28247e17 | − | 2.80822e17i | −0.301949 | − | 0.661176i | ||||
\(868\) | 5.84350e16 | + | 9.09266e16i | 0.136633 | + | 0.212605i | ||||
\(869\) | 8.31968e15 | − | 5.78647e16i | 0.0193192 | − | 0.134368i | ||||
\(870\) | −1.51718e17 | + | 2.36078e17i | −0.349883 | + | 0.544429i | ||||
\(871\) | −9.37324e16 | − | 8.12196e16i | −0.214675 | − | 0.186017i | ||||
\(872\) | −1.85686e16 | + | 6.32389e16i | −0.0422358 | + | 0.143842i | ||||
\(873\) | − | 2.83828e17i | − | 0.641166i | ||||||
\(874\) | 2.38054e17 | − | 2.09866e17i | 0.534080 | − | 0.470840i | ||||
\(875\) | −4.66302e17 | −1.03901 | ||||||||
\(876\) | −3.74366e17 | − | 1.09924e17i | −0.828461 | − | 0.243258i | ||||
\(877\) | −3.99369e17 | + | 4.60897e17i | −0.877763 | + | 1.01299i | 0.122028 | + | 0.992527i | \(0.461060\pi\) |
−0.999791 | + | 0.0204654i | \(0.993485\pi\) | |||||||
\(878\) | 3.61727e16 | + | 2.32468e16i | 0.0789613 | + | 0.0507453i | ||||
\(879\) | 6.40198e17 | + | 9.20465e16i | 1.38797 | + | 0.199560i | ||||
\(880\) | −1.23634e16 | + | 7.94546e15i | −0.0266220 | + | 0.0171089i | ||||
\(881\) | −8.50677e16 | + | 3.88491e16i | −0.181932 | + | 0.0830856i | −0.504299 | − | 0.863529i | \(-0.668249\pi\) |
0.322367 | + | 0.946615i | \(0.395522\pi\) | |||||||
\(882\) | 7.30428e16 | + | 8.42958e16i | 0.155155 | + | 0.179058i | ||||
\(883\) | 1.46375e16 | + | 1.01806e17i | 0.0308819 | + | 0.214788i | 0.999419 | − | 0.0340806i | \(-0.0108503\pi\) |
−0.968537 | + | 0.248869i | \(0.919941\pi\) | |||||||
\(884\) | 3.51998e15 | + | 1.60752e15i | 0.00737609 | + | 0.00336855i | ||||
\(885\) | −2.97521e17 | − | 1.01326e18i | −0.619238 | − | 2.10893i | ||||
\(886\) | −2.86908e17 | + | 8.42439e16i | −0.593118 | + | 0.174155i | ||||
\(887\) | −2.02187e17 | + | 4.42728e17i | −0.415156 | + | 0.909066i | 0.580350 | + | 0.814367i | \(0.302916\pi\) |
−0.995506 | + | 0.0946983i | \(0.969811\pi\) | |||||||
\(888\) | −1.76530e16 | + | 2.53812e15i | −0.0360032 | + | 0.00517647i | ||||
\(889\) | 2.53977e17 | − | 2.20072e17i | 0.514498 | − | 0.445815i | ||||
\(890\) | −3.97383e17 | − | 8.70148e17i | −0.799594 | − | 1.75087i | ||||
\(891\) | 1.42400e16 | + | 2.21579e16i | 0.0284606 | + | 0.0442856i | ||||
\(892\) | 3.38365e16 | − | 2.35338e17i | 0.0671733 | − | 0.467201i | ||||
\(893\) | 3.13542e17 | − | 4.87881e17i | 0.618283 | − | 0.962067i | ||||
\(894\) | 1.41787e17 | + | 1.22859e17i | 0.277723 | + | 0.240648i | ||||
\(895\) | −2.58413e17 | + | 8.80073e17i | −0.502778 | + | 1.71230i | ||||
\(896\) | − | 1.40374e17i | − | 0.271292i | ||||||
\(897\) | 1.14594e17 | + | 2.45352e17i | 0.219993 | + | 0.471015i | ||||
\(898\) | −4.86413e17 | −0.927571 | ||||||||
\(899\) | 4.28269e17 | + | 1.25751e17i | 0.811258 | + | 0.238207i | ||||
\(900\) | 2.71497e17 | − | 3.13325e17i | 0.510870 | − | 0.589576i | ||||
\(901\) | 8.20198e15 | + | 5.27109e15i | 0.0153310 | + | 0.00985263i | ||||
\(902\) | −5.14661e16 | − | 7.39971e15i | −0.0955613 | − | 0.0137396i | ||||
\(903\) | 8.81854e16 | − | 5.66733e16i | 0.162656 | − | 0.104533i | ||||
\(904\) | −5.50830e17 | + | 2.51555e17i | −1.00927 | + | 0.460917i | ||||
\(905\) | −1.08816e17 | − | 1.25581e17i | −0.198063 | − | 0.228576i | ||||
\(906\) | −5.61521e16 | − | 3.90546e17i | −0.101531 | − | 0.706161i | ||||
\(907\) | 3.05369e17 | + | 1.39457e17i | 0.548505 | + | 0.250494i | 0.670337 | − | 0.742057i | \(-0.266150\pi\) |
−0.121832 | + | 0.992551i | \(0.538877\pi\) | |||||||
\(908\) | 8.35690e16 | + | 2.84610e17i | 0.149118 | + | 0.507849i | ||||
\(909\) | −1.98866e17 | + | 5.83923e16i | −0.352515 | + | 0.103508i | ||||
\(910\) | −6.78663e16 | + | 1.48607e17i | −0.119510 | + | 0.261691i | ||||
\(911\) | −8.27045e17 | + | 1.18911e17i | −1.44684 | + | 0.208024i | −0.820552 | − | 0.571572i | \(-0.806334\pi\) |
−0.626283 | + | 0.779595i | \(0.715425\pi\) | |||||||
\(912\) | −3.80687e16 | + | 3.29867e16i | −0.0661605 | + | 0.0573284i | ||||
\(913\) | −1.18535e16 | − | 2.59556e16i | −0.0204655 | − | 0.0448133i | ||||
\(914\) | −7.57086e16 | − | 1.17805e17i | −0.129858 | − | 0.202063i | ||||
\(915\) | −4.90982e16 | + | 3.41485e17i | −0.0836641 | + | 0.581896i | ||||
\(916\) | 3.27363e17 | − | 5.09386e17i | 0.554187 | − | 0.862332i | ||||
\(917\) | 6.86676e16 | + | 5.95008e16i | 0.115488 | + | 0.100071i | ||||
\(918\) | 1.80078e15 | − | 6.13290e15i | 0.00300888 | − | 0.0102473i | ||||
\(919\) | − | 5.81103e17i | − | 0.964628i | −0.875998 | − | 0.482314i | \(-0.839796\pi\) | ||
0.875998 | − | 0.482314i | \(-0.160204\pi\) | |||||||
\(920\) | 6.01129e17 | + | 9.18018e17i | 0.991381 | + | 1.51399i | ||||
\(921\) | −2.21326e17 | −0.362639 | ||||||||
\(922\) | 1.49525e17 | + | 4.39044e16i | 0.243404 | + | 0.0714697i | ||||
\(923\) | −6.01362e15 | + | 6.94009e15i | −0.00972581 | + | 0.0112242i | ||||
\(924\) | 1.59694e16 | + | 1.02629e16i | 0.0256600 | + | 0.0164907i | ||||
\(925\) | −8.02948e16 | − | 1.15446e16i | −0.128185 | − | 0.0184302i | ||||
\(926\) | −2.71019e17 | + | 1.74174e17i | −0.429867 | + | 0.276259i | ||||
\(927\) | 3.30352e17 | − | 1.50867e17i | 0.520593 | − | 0.237747i | ||||
\(928\) | −3.50007e17 | − | 4.03930e17i | −0.548011 | − | 0.632438i | ||||
\(929\) | 1.00444e17 | + | 6.98601e17i | 0.156253 | + | 1.08676i | 0.905461 | + | 0.424429i | \(0.139525\pi\) |
−0.749208 | + | 0.662334i | \(0.769566\pi\) | |||||||
\(930\) | −4.82375e17 | − | 2.20293e17i | −0.745567 | − | 0.340489i | ||||
\(931\) | −1.93800e17 | − | 6.60021e17i | −0.297615 | − | 1.01358i | ||||
\(932\) | −5.75349e17 | + | 1.68938e17i | −0.877882 | + | 0.257769i | ||||
\(933\) | −1.16214e17 | + | 2.54472e17i | −0.176184 | + | 0.385790i | ||||
\(934\) | −2.77716e17 | + | 3.99295e16i | −0.418331 | + | 0.0601469i | ||||
\(935\) | −2.78449e15 | + | 2.41277e15i | −0.00416750 | + | 0.00361116i | ||||
\(936\) | −9.10298e16 | − | 1.99328e17i | −0.135372 | − | 0.296423i | ||||
\(937\) | 1.42136e17 | + | 2.21168e17i | 0.210023 | + | 0.326803i | 0.930243 | − | 0.366943i | \(-0.119596\pi\) |
−0.720220 | + | 0.693746i | \(0.755959\pi\) | |||||||
\(938\) | −8.27870e15 | + | 5.75797e16i | −0.0121547 | + | 0.0845380i | ||||
\(939\) | −9.79839e16 | + | 1.52466e17i | −0.142942 | + | 0.222423i | ||||
\(940\) | 6.03217e17 | + | 5.22691e17i | 0.874393 | + | 0.757666i | ||||
\(941\) | 7.27535e16 | − | 2.47776e17i | 0.104789 | − | 0.356879i | −0.890360 | − | 0.455257i | \(-0.849547\pi\) |
0.995149 | + | 0.0983783i | \(0.0313655\pi\) | |||||||
\(942\) | 1.97193e17i | 0.282219i | ||||||||
\(943\) | 9.08807e16 | − | 6.72889e17i | 0.129241 | − | 0.956914i | ||||
\(944\) | 1.12507e17 | 0.158982 | ||||||||
\(945\) | −5.05348e17 | − | 1.48383e17i | −0.709577 | − | 0.208351i | ||||
\(946\) | −3.37869e16 | + | 3.89921e16i | −0.0471413 | + | 0.0544039i | ||||
\(947\) | −5.97386e16 | − | 3.83917e16i | −0.0828239 | − | 0.0532277i | 0.498573 | − | 0.866847i | \(-0.333857\pi\) |
−0.581397 | + | 0.813620i | \(0.697494\pi\) | |||||||
\(948\) | 2.72962e17 | + | 3.92460e16i | 0.376056 | + | 0.0540686i | ||||
\(949\) | −7.89106e17 | + | 5.07128e17i | −1.08028 | + | 0.694257i | ||||
\(950\) | 1.19164e18 | − | 5.44202e17i | 1.62107 | − | 0.740319i | ||||
\(951\) | −5.77035e17 | − | 6.65934e17i | −0.780044 | − | 0.900219i | ||||
\(952\) | −6.48943e14 | − | 4.51350e15i | −0.000871736 | − | 0.00606305i | ||||
\(953\) | 3.58901e17 | + | 1.63904e17i | 0.479090 | + | 0.218793i | 0.640297 | − | 0.768128i | \(-0.278811\pi\) |
−0.161207 | + | 0.986921i | \(0.551539\pi\) | |||||||
\(954\) | −6.19120e16 | − | 2.10853e17i | −0.0821267 | − | 0.279698i | ||||
\(955\) | 1.01763e18 | − | 2.98802e17i | 1.34143 | − | 0.393879i | ||||
\(956\) | −2.88527e17 | + | 6.31786e17i | −0.377954 | + | 0.827604i | ||||
\(957\) | 7.75943e16 | − | 1.11564e16i | 0.101009 | − | 0.0145228i | ||||
\(958\) | −4.24662e17 | + | 3.67972e17i | −0.549352 | + | 0.476016i | ||||
\(959\) | 1.70692e17 | + | 3.73763e17i | 0.219432 | + | 0.480490i | ||||
\(960\) | 2.86621e17 | + | 4.45991e17i | 0.366169 | + | 0.569769i | ||||
\(961\) | −7.94079e15 | + | 5.52294e16i | −0.0100815 | + | 0.0701181i | ||||
\(962\) | −9.22662e15 | + | 1.43569e16i | −0.0116410 | + | 0.0181138i | ||||
\(963\) | 1.78240e17 | + | 1.54445e17i | 0.223484 | + | 0.193650i | ||||
\(964\) | −2.49462e16 | + | 8.49589e16i | −0.0310844 | + | 0.105864i | ||||
\(965\) | − | 5.68177e16i | − | 0.0703590i | ||||||
\(966\) | 6.77509e16 | − | 1.07431e17i | 0.0833781 | − | 0.132211i | ||||
\(967\) | 4.26577e17 | 0.521721 | 0.260860 | − | 0.965377i | \(-0.415994\pi\) | ||||
0.260860 | + | 0.965377i | \(0.415994\pi\) | |||||||
\(968\) | 7.40751e17 | + | 2.17504e17i | 0.900369 | + | 0.264372i | ||||
\(969\) | −8.26982e15 | + | 9.54388e15i | −0.00998972 | + | 0.0115288i | ||||
\(970\) | 1.03837e18 | + | 6.67321e17i | 1.24659 | + | 0.801133i | ||||
\(971\) | −1.17667e18 | − | 1.69179e17i | −1.40391 | − | 0.201852i | −0.601617 | − | 0.798784i | \(-0.705477\pi\) |
−0.802291 | + | 0.596933i | \(0.796386\pi\) | |||||||
\(972\) | 3.97320e17 | − | 2.55342e17i | 0.471132 | − | 0.302778i | ||||
\(973\) | −3.19243e16 | + | 1.45794e16i | −0.0376222 | + | 0.0171815i | ||||
\(974\) | −2.96915e17 | − | 3.42658e17i | −0.347759 | − | 0.401335i | ||||
\(975\) | 1.59083e17 | + | 1.10645e18i | 0.185181 | + | 1.28796i | ||||
\(976\) | −3.34334e16 | − | 1.52685e16i | −0.0386795 | − | 0.0176644i | ||||
\(977\) | −4.59380e17 | − | 1.56450e18i | −0.528207 | − | 1.79891i | −0.598182 | − | 0.801360i | \(-0.704110\pi\) |
0.0699751 | − | 0.997549i | \(-0.477708\pi\) | |||||||
\(978\) | 3.13549e17 | − | 9.20662e16i | 0.358321 | − | 0.105212i | ||||
\(979\) | −1.11008e17 | + | 2.43073e17i | −0.126083 | + | 0.276084i | ||||
\(980\) | 9.37091e17 | − | 1.34733e17i | 1.05785 | − | 0.152096i | ||||
\(981\) | −4.92270e16 | + | 4.26554e16i | −0.0552318 | + | 0.0478586i | ||||
\(982\) | −9.43264e16 | − | 2.06546e17i | −0.105188 | − | 0.230329i | ||||
\(983\) | 5.98894e17 | + | 9.31897e17i | 0.663787 | + | 1.03287i | 0.995973 | + | 0.0896588i | \(0.0285777\pi\) |
−0.332185 | + | 0.943214i | \(0.607786\pi\) | |||||||
\(984\) | 8.76970e16 | − | 6.09946e17i | 0.0966083 | − | 0.671925i | ||||
\(985\) | 8.18650e17 | − | 1.27384e18i | 0.896356 | − | 1.39476i | ||||
\(986\) | −5.66453e15 | − | 4.90834e15i | −0.00616456 | − | 0.00534162i | ||||
\(987\) | 6.53914e16 | − | 2.22703e17i | 0.0707323 | − | 0.240892i | ||||
\(988\) | 5.37908e17i | 0.578317i | ||||||||
\(989\) | −5.12946e17 | − | 4.36846e17i | −0.548143 | − | 0.466822i | ||||
\(990\) | 8.30449e16 | 0.0882067 | ||||||||
\(991\) | 3.00487e17 | + | 8.82310e16i | 0.317237 | + | 0.0931493i | 0.436475 | − | 0.899716i | \(-0.356227\pi\) |
−0.119238 | + | 0.992866i | \(0.538045\pi\) | |||||||
\(992\) | 6.61404e17 | − | 7.63300e17i | 0.694059 | − | 0.800987i | ||||
\(993\) | −2.03576e17 | − | 1.30830e17i | −0.212339 | − | 0.136462i | ||||
\(994\) | 4.26329e15 | + | 6.12968e14i | 0.00442004 | + | 0.000635506i | ||||
\(995\) | 9.42907e17 | − | 6.05970e17i | 0.971696 | − | 0.624471i | ||||
\(996\) | 1.22439e17 | − | 5.59160e16i | 0.125419 | − | 0.0572770i | ||||
\(997\) | −1.21993e17 | − | 1.40787e17i | −0.124212 | − | 0.143348i | 0.690237 | − | 0.723583i | \(-0.257506\pi\) |
−0.814449 | + | 0.580235i | \(0.802961\pi\) | |||||||
\(998\) | −8.93702e16 | − | 6.21583e17i | −0.0904502 | − | 0.629095i | ||||
\(999\) | −5.00467e16 | − | 2.28556e16i | −0.0503481 | − | 0.0229932i |
(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 | 23.13.d.a.5.9 | ✓ | 230 | |
23.14 | odd | 22 | inner | 23.13.d.a.14.9 | yes | 230 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
23.13.d.a.5.9 | ✓ | 230 | 1.1 | even | 1 | trivial | |
23.13.d.a.14.9 | yes | 230 | 23.14 | odd | 22 | inner |