Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [17,10,Mod(2,17)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(17, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([7]))
N = Newforms(chi, 10, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("17.2");
S:= CuspForms(chi, 10);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 17 \) |
Weight: | \( k \) | \(=\) | \( 10 \) |
Character orbit: | \([\chi]\) | \(=\) | 17.d (of order \(8\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(8.75560921479\) |
Analytic rank: | \(0\) |
Dimension: | \(52\) |
Relative dimension: | \(13\) over \(\Q(\zeta_{8})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 15.10 | ||
Character | \(\chi\) | \(=\) | 17.15 |
Dual form | 17.10.d.a.8.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/17\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{3}{8}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 16.9753 | + | 16.9753i | 0.750208 | + | 0.750208i | 0.974518 | − | 0.224310i | \(-0.0720128\pi\) |
−0.224310 | + | 0.974518i | \(0.572013\pi\) | |||||||
\(3\) | 74.3499 | + | 179.496i | 0.529950 | + | 1.27941i | 0.931556 | + | 0.363599i | \(0.118452\pi\) |
−0.401606 | + | 0.915813i | \(0.631548\pi\) | |||||||
\(4\) | 64.3195i | 0.125624i | ||||||||
\(5\) | −2350.25 | + | 973.503i | −1.68170 | + | 0.696582i | −0.999405 | − | 0.0344957i | \(-0.989018\pi\) |
−0.682294 | + | 0.731078i | \(0.739018\pi\) | |||||||
\(6\) | −1784.89 | + | 4309.11i | −0.562252 | + | 1.35740i | ||||
\(7\) | 1813.43 | + | 751.147i | 0.285469 | + | 0.118245i | 0.520823 | − | 0.853664i | \(-0.325625\pi\) |
−0.235354 | + | 0.971910i | \(0.575625\pi\) | |||||||
\(8\) | 7599.50 | − | 7599.50i | 0.655964 | − | 0.655964i | ||||
\(9\) | −12773.1 | + | 12773.1i | −0.648940 | + | 0.648940i | ||||
\(10\) | −56421.5 | − | 23370.6i | −1.78421 | − | 0.739042i | ||||
\(11\) | 6975.01 | − | 16839.2i | 0.143641 | − | 0.346780i | −0.835643 | − | 0.549273i | \(-0.814905\pi\) |
0.979284 | + | 0.202494i | \(0.0649046\pi\) | |||||||
\(12\) | −11545.1 | + | 4782.15i | −0.160725 | + | 0.0665744i | ||||
\(13\) | 165432.i | 1.60648i | 0.595656 | + | 0.803240i | \(0.296892\pi\) | ||||
−0.595656 | + | 0.803240i | \(0.703108\pi\) | |||||||
\(14\) | 18032.5 | + | 43534.4i | 0.125453 | + | 0.302870i | ||||
\(15\) | −349481. | − | 349481.i | −1.78243 | − | 1.78243i | ||||
\(16\) | 290939. | 1.10984 | ||||||||
\(17\) | −65408.8 | + | 338097.i | −0.189940 | + | 0.981796i | ||||
\(18\) | −433653. | −0.973681 | ||||||||
\(19\) | −97283.3 | − | 97283.3i | −0.171256 | − | 0.171256i | 0.616275 | − | 0.787531i | \(-0.288641\pi\) |
−0.787531 | + | 0.616275i | \(0.788641\pi\) | |||||||
\(20\) | −62615.3 | − | 151167.i | −0.0875075 | − | 0.211262i | ||||
\(21\) | 381352.i | 0.427897i | ||||||||
\(22\) | 404252. | − | 167447.i | 0.367917 | − | 0.152396i | ||||
\(23\) | −266171. | + | 642594.i | −0.198329 | + | 0.478808i | −0.991487 | − | 0.130208i | \(-0.958435\pi\) |
0.793158 | + | 0.609016i | \(0.208435\pi\) | |||||||
\(24\) | 1.92910e6 | + | 799061.i | 1.18688 | + | 0.491620i | ||||
\(25\) | 3.19488e6 | − | 3.19488e6i | 1.63578 | − | 1.63578i | ||||
\(26\) | −2.80826e6 | + | 2.80826e6i | −1.20519 | + | 1.20519i | ||||
\(27\) | 290626. | + | 120381.i | 0.105244 | + | 0.0435935i | ||||
\(28\) | −48313.4 | + | 116639.i | −0.0148544 | + | 0.0358618i | ||||
\(29\) | 3.90815e6 | − | 1.61881e6i | 1.02608 | − | 0.425015i | 0.194782 | − | 0.980847i | \(-0.437600\pi\) |
0.831295 | + | 0.555832i | \(0.187600\pi\) | |||||||
\(30\) | − | 1.18651e7i | − | 2.67439i | ||||||
\(31\) | 1.44976e6 | + | 3.50003e6i | 0.281947 | + | 0.680681i | 0.999881 | − | 0.0154305i | \(-0.00491187\pi\) |
−0.717934 | + | 0.696112i | \(0.754912\pi\) | |||||||
\(32\) | 1.04782e6 | + | 1.04782e6i | 0.176649 | + | 0.176649i | ||||
\(33\) | 3.54116e6 | 0.519796 | ||||||||
\(34\) | −6.84962e6 | + | 4.62895e6i | −0.879045 | + | 0.594057i | ||||
\(35\) | −4.99325e6 | −0.562441 | ||||||||
\(36\) | −821560. | − | 821560.i | −0.0815226 | − | 0.0815226i | ||||
\(37\) | 4.54160e6 | + | 1.09644e7i | 0.398383 | + | 0.961782i | 0.988050 | + | 0.154135i | \(0.0492592\pi\) |
−0.589666 | + | 0.807647i | \(0.700741\pi\) | |||||||
\(38\) | − | 3.30282e6i | − | 0.256956i | ||||||
\(39\) | −2.96945e7 | + | 1.22999e7i | −2.05535 | + | 0.851353i | ||||
\(40\) | −1.04625e7 | + | 2.52588e7i | −0.646201 | + | 1.56007i | ||||
\(41\) | −9.08663e6 | − | 3.76380e6i | −0.502198 | − | 0.208017i | 0.117179 | − | 0.993111i | \(-0.462615\pi\) |
−0.619377 | + | 0.785093i | \(0.712615\pi\) | |||||||
\(42\) | −6.47355e6 | + | 6.47355e6i | −0.321011 | + | 0.321011i | ||||
\(43\) | 2.50560e7 | − | 2.50560e7i | 1.11764 | − | 1.11764i | 0.125557 | − | 0.992086i | \(-0.459928\pi\) |
0.992086 | − | 0.125557i | \(-0.0400717\pi\) | |||||||
\(44\) | 1.08309e6 | + | 448630.i | 0.0435639 | + | 0.0180448i | ||||
\(45\) | 1.75853e7 | − | 4.24546e7i | 0.639282 | − | 1.54336i | ||||
\(46\) | −1.54265e7 | + | 6.38988e6i | −0.507993 | + | 0.210418i | ||||
\(47\) | − | 5.08554e7i | − | 1.52018i | −0.649815 | − | 0.760092i | \(-0.725154\pi\) | ||
0.649815 | − | 0.760092i | \(-0.274846\pi\) | |||||||
\(48\) | 2.16312e7 | + | 5.22224e7i | 0.588161 | + | 1.41995i | ||||
\(49\) | −2.58100e7 | − | 2.58100e7i | −0.639596 | − | 0.639596i | ||||
\(50\) | 1.08468e8 | 2.45435 | ||||||||
\(51\) | −6.55503e7 | + | 1.33968e7i | −1.35678 | + | 0.277291i | ||||
\(52\) | −1.06405e7 | −0.201813 | ||||||||
\(53\) | −1.09744e7 | − | 1.09744e7i | −0.191047 | − | 0.191047i | 0.605101 | − | 0.796149i | \(-0.293133\pi\) |
−0.796149 | + | 0.605101i | \(0.793133\pi\) | |||||||
\(54\) | 2.88995e6 | + | 6.97695e6i | 0.0462507 | + | 0.111659i | ||||
\(55\) | 4.63664e7i | 0.683237i | ||||||||
\(56\) | 1.94895e7 | − | 8.07281e6i | 0.264822 | − | 0.109693i | ||||
\(57\) | 1.02290e7 | − | 2.46950e7i | 0.128350 | − | 0.309865i | ||||
\(58\) | 9.38215e7 | + | 3.88621e7i | 1.08862 | + | 0.450921i | ||||
\(59\) | −6.57387e7 | + | 6.57387e7i | −0.706297 | + | 0.706297i | −0.965754 | − | 0.259458i | \(-0.916456\pi\) |
0.259458 | + | 0.965754i | \(0.416456\pi\) | |||||||
\(60\) | 2.24784e7 | − | 2.24784e7i | 0.223916 | − | 0.223916i | ||||
\(61\) | 1.88735e8 | + | 7.81764e7i | 1.74529 | + | 0.722922i | 0.998312 | + | 0.0580705i | \(0.0184948\pi\) |
0.746976 | + | 0.664851i | \(0.231505\pi\) | |||||||
\(62\) | −3.48039e7 | + | 8.40239e7i | −0.299133 | + | 0.722172i | ||||
\(63\) | −3.27576e7 | + | 1.35686e7i | −0.261987 | + | 0.108518i | ||||
\(64\) | − | 1.13387e8i | − | 0.844796i | ||||||
\(65\) | −1.61049e8 | − | 3.88806e8i | −1.11905 | − | 2.70161i | ||||
\(66\) | 6.01122e7 | + | 6.01122e7i | 0.389955 | + | 0.389955i | ||||
\(67\) | −5.35413e7 | −0.324603 | −0.162301 | − | 0.986741i | \(-0.551892\pi\) | ||||
−0.162301 | + | 0.986741i | \(0.551892\pi\) | |||||||
\(68\) | −2.17462e7 | − | 4.20707e6i | −0.123337 | − | 0.0238610i | ||||
\(69\) | −1.35133e8 | −0.717697 | ||||||||
\(70\) | −8.47617e7 | − | 8.47617e7i | −0.421947 | − | 0.421947i | ||||
\(71\) | −5.11511e7 | − | 1.23490e8i | −0.238887 | − | 0.576724i | 0.758281 | − | 0.651928i | \(-0.226039\pi\) |
−0.997168 | + | 0.0752033i | \(0.976039\pi\) | |||||||
\(72\) | 1.94138e8i | 0.851363i | ||||||||
\(73\) | 4.04384e7 | − | 1.67501e7i | 0.166664 | − | 0.0690343i | −0.297792 | − | 0.954631i | \(-0.596250\pi\) |
0.464455 | + | 0.885597i | \(0.346250\pi\) | |||||||
\(74\) | −1.09029e8 | + | 2.63218e8i | −0.422666 | + | 1.02041i | ||||
\(75\) | 8.11008e8 | + | 3.35930e8i | 2.95971 | + | 1.22595i | ||||
\(76\) | 6.25721e6 | − | 6.25721e6i | 0.0215139 | − | 0.0215139i | ||||
\(77\) | 2.52974e7 | − | 2.52974e7i | 0.0820101 | − | 0.0820101i | ||||
\(78\) | −7.12866e8 | − | 2.95279e8i | −2.18063 | − | 0.903247i | ||||
\(79\) | −5.24352e7 | + | 1.26590e8i | −0.151461 | + | 0.365660i | −0.981339 | − | 0.192286i | \(-0.938410\pi\) |
0.829878 | + | 0.557945i | \(0.188410\pi\) | |||||||
\(80\) | −6.83777e8 | + | 2.83230e8i | −1.86642 | + | 0.773097i | ||||
\(81\) | 4.16668e8i | 1.07549i | ||||||||
\(82\) | −9.03564e7 | − | 2.18140e8i | −0.220697 | − | 0.532810i | ||||
\(83\) | −2.90449e8 | − | 2.90449e8i | −0.671767 | − | 0.671767i | 0.286356 | − | 0.958123i | \(-0.407556\pi\) |
−0.958123 | + | 0.286356i | \(0.907556\pi\) | |||||||
\(84\) | −2.45284e7 | −0.0537541 | ||||||||
\(85\) | −1.75412e8 | − | 8.58287e8i | −0.364480 | − | 1.78339i | ||||
\(86\) | 8.50664e8 | 1.67693 | ||||||||
\(87\) | 5.81140e8 | + | 5.81140e8i | 1.08754 | + | 1.08754i | ||||
\(88\) | −7.49626e7 | − | 1.80976e8i | −0.133252 | − | 0.321698i | ||||
\(89\) | 2.89162e8i | 0.488524i | 0.969709 | + | 0.244262i | \(0.0785457\pi\) | ||||
−0.969709 | + | 0.244262i | \(0.921454\pi\) | |||||||
\(90\) | 1.01919e9 | − | 4.22163e8i | 1.63744 | − | 0.678249i | ||||
\(91\) | −1.24264e8 | + | 3.00000e8i | −0.189958 | + | 0.458600i | ||||
\(92\) | −4.13314e7 | − | 1.71200e7i | −0.0601498 | − | 0.0249149i | ||||
\(93\) | −5.20453e8 | + | 5.20453e8i | −0.721453 | + | 0.721453i | ||||
\(94\) | 8.63283e8 | − | 8.63283e8i | 1.14045 | − | 1.14045i | ||||
\(95\) | 3.23345e8 | + | 1.33934e8i | 0.407296 | + | 0.168708i | ||||
\(96\) | −1.10175e8 | + | 2.65985e8i | −0.132392 | + | 0.319622i | ||||
\(97\) | 2.61370e8 | − | 1.08263e8i | 0.299767 | − | 0.124167i | −0.227730 | − | 0.973724i | \(-0.573131\pi\) |
0.527497 | + | 0.849557i | \(0.323131\pi\) | |||||||
\(98\) | − | 8.76264e8i | − | 0.959660i | ||||||
\(99\) | 1.25996e8 | + | 3.04181e8i | 0.131825 | + | 0.318254i | ||||
\(100\) | 2.05493e8 | + | 2.05493e8i | 0.205493 | + | 0.205493i | ||||
\(101\) | −2.20849e8 | −0.211179 | −0.105589 | − | 0.994410i | \(-0.533673\pi\) | ||||
−0.105589 | + | 0.994410i | \(0.533673\pi\) | |||||||
\(102\) | −1.34015e9 | − | 8.85320e8i | −1.22589 | − | 0.809841i | ||||
\(103\) | −1.05360e8 | −0.0922372 | −0.0461186 | − | 0.998936i | \(-0.514685\pi\) | ||||
−0.0461186 | + | 0.998936i | \(0.514685\pi\) | |||||||
\(104\) | 1.25720e9 | + | 1.25720e9i | 1.05379 | + | 1.05379i | ||||
\(105\) | −3.71247e8 | − | 8.96270e8i | −0.298065 | − | 0.719593i | ||||
\(106\) | − | 3.72588e8i | − | 0.286651i | ||||||
\(107\) | 4.58939e8 | − | 1.90099e8i | 0.338476 | − | 0.140201i | −0.206970 | − | 0.978347i | \(-0.566360\pi\) |
0.545446 | + | 0.838146i | \(0.316360\pi\) | |||||||
\(108\) | −7.74286e6 | + | 1.86929e7i | −0.00547639 | + | 0.0132212i | ||||
\(109\) | 5.88141e8 | + | 2.43616e8i | 0.399082 | + | 0.165305i | 0.573192 | − | 0.819421i | \(-0.305705\pi\) |
−0.174110 | + | 0.984726i | \(0.555705\pi\) | |||||||
\(110\) | −7.87082e8 | + | 7.87082e8i | −0.512570 | + | 0.512570i | ||||
\(111\) | −1.63040e9 | + | 1.63040e9i | −1.01939 | + | 1.01939i | ||||
\(112\) | 5.27596e8 | + | 2.18538e8i | 0.316826 | + | 0.131234i | ||||
\(113\) | −3.64959e8 | + | 8.81090e8i | −0.210568 | + | 0.508355i | −0.993511 | − | 0.113738i | \(-0.963718\pi\) |
0.782943 | + | 0.622093i | \(0.213718\pi\) | |||||||
\(114\) | 5.92844e8 | − | 2.45564e8i | 0.328752 | − | 0.136174i | ||||
\(115\) | − | 1.76937e9i | − | 0.943363i | ||||||
\(116\) | 1.04121e8 | + | 2.51370e8i | 0.0533921 | + | 0.128900i | ||||
\(117\) | −2.11308e9 | − | 2.11308e9i | −1.04251 | − | 1.04251i | ||||
\(118\) | −2.23186e9 | −1.05974 | ||||||||
\(119\) | −3.72575e8 | + | 5.63983e8i | −0.170315 | + | 0.257813i | ||||
\(120\) | −5.31176e9 | −2.33842 | ||||||||
\(121\) | 1.43241e9 | + | 1.43241e9i | 0.607483 | + | 0.607483i | ||||
\(122\) | 1.87675e9 | + | 4.53089e9i | 0.766987 | + | 1.85167i | ||||
\(123\) | − | 1.91086e9i | − | 0.752757i | ||||||
\(124\) | −2.25120e8 | + | 9.32478e7i | −0.0855099 | + | 0.0354194i | ||||
\(125\) | −2.49715e9 | + | 6.02864e9i | −0.914848 | + | 2.20864i | ||||
\(126\) | −7.86399e8 | − | 3.25737e8i | −0.277956 | − | 0.115133i | ||||
\(127\) | 3.81895e9 | − | 3.81895e9i | 1.30265 | − | 1.30265i | 0.376048 | − | 0.926600i | \(-0.377283\pi\) |
0.926600 | − | 0.376048i | \(-0.122717\pi\) | |||||||
\(128\) | 2.46125e9 | − | 2.46125e9i | 0.810421 | − | 0.810421i | ||||
\(129\) | 6.36037e9 | + | 2.63455e9i | 2.02222 | + | 0.837631i | ||||
\(130\) | 3.86625e9 | − | 9.33394e9i | 1.18726 | − | 2.86629i | ||||
\(131\) | −2.55540e9 | + | 1.05848e9i | −0.758119 | + | 0.314023i | −0.728050 | − | 0.685525i | \(-0.759573\pi\) |
−0.0300697 | + | 0.999548i | \(0.509573\pi\) | |||||||
\(132\) | 2.27766e8i | 0.0652989i | ||||||||
\(133\) | −1.03342e8 | − | 2.49490e8i | −0.0286382 | − | 0.0691387i | ||||
\(134\) | −9.08877e8 | − | 9.08877e8i | −0.243519 | − | 0.243519i | ||||
\(135\) | −8.00233e8 | −0.207355 | ||||||||
\(136\) | 2.07229e9 | + | 3.06644e9i | 0.519429 | + | 0.768616i | ||||
\(137\) | −3.06041e9 | −0.742228 | −0.371114 | − | 0.928587i | \(-0.621024\pi\) | ||||
−0.371114 | + | 0.928587i | \(0.621024\pi\) | |||||||
\(138\) | −2.29392e9 | − | 2.29392e9i | −0.538422 | − | 0.538422i | ||||
\(139\) | −1.35869e9 | − | 3.28016e9i | −0.308711 | − | 0.745295i | −0.999747 | − | 0.0224750i | \(-0.992845\pi\) |
0.691036 | − | 0.722820i | \(-0.257155\pi\) | |||||||
\(140\) | − | 3.21163e8i | − | 0.0706561i | ||||||
\(141\) | 9.12836e9 | − | 3.78109e9i | 1.94494 | − | 0.805621i | ||||
\(142\) | 1.22797e9 | − | 2.96458e9i | 0.253448 | − | 0.611878i | ||||
\(143\) | 2.78574e9 | + | 1.15389e9i | 0.557094 | + | 0.230756i | ||||
\(144\) | −3.71619e9 | + | 3.71619e9i | −0.720222 | + | 0.720222i | ||||
\(145\) | −7.60919e9 | + | 7.60919e9i | −1.42949 | + | 1.42949i | ||||
\(146\) | 9.70790e8 | + | 4.02114e8i | 0.176823 | + | 0.0732423i | ||||
\(147\) | 2.71383e9 | − | 6.55178e9i | 0.479353 | − | 1.15726i | ||||
\(148\) | −7.05225e8 | + | 2.92114e8i | −0.120823 | + | 0.0500465i | ||||
\(149\) | 3.88137e9i | 0.645130i | 0.946547 | + | 0.322565i | \(0.104545\pi\) | ||||
−0.946547 | + | 0.322565i | \(0.895455\pi\) | |||||||
\(150\) | 8.06456e9 | + | 1.94696e10i | 1.30068 | + | 3.14012i | ||||
\(151\) | 5.85814e9 | + | 5.85814e9i | 0.916988 | + | 0.916988i | 0.996809 | − | 0.0798209i | \(-0.0254348\pi\) |
−0.0798209 | + | 0.996809i | \(0.525435\pi\) | |||||||
\(152\) | −1.47861e9 | −0.224676 | ||||||||
\(153\) | −3.48307e9 | − | 5.15402e9i | −0.513867 | − | 0.760387i | ||||
\(154\) | 8.58860e8 | 0.123049 | ||||||||
\(155\) | −6.81458e9 | − | 6.81458e9i | −0.948301 | − | 0.948301i | ||||
\(156\) | −7.91122e8 | − | 1.90994e9i | −0.106950 | − | 0.258201i | ||||
\(157\) | − | 1.15724e10i | − | 1.52011i | −0.649861 | − | 0.760053i | \(-0.725173\pi\) | ||
0.649861 | − | 0.760053i | \(-0.274827\pi\) | |||||||
\(158\) | −3.03900e9 | + | 1.25879e9i | −0.387948 | + | 0.160693i | ||||
\(159\) | 1.15393e9 | − | 2.78582e9i | 0.143183 | − | 0.345674i | ||||
\(160\) | −3.48269e9 | − | 1.44258e9i | −0.420121 | − | 0.174020i | ||||
\(161\) | −9.65365e8 | + | 9.65365e8i | −0.113234 | + | 0.113234i | ||||
\(162\) | −7.07305e9 | + | 7.07305e9i | −0.806843 | + | 0.806843i | ||||
\(163\) | 6.52779e9 | + | 2.70390e9i | 0.724305 | + | 0.300017i | 0.714210 | − | 0.699932i | \(-0.246786\pi\) |
0.0100959 | + | 0.999949i | \(0.496786\pi\) | |||||||
\(164\) | 2.42086e8 | − | 5.84448e8i | 0.0261320 | − | 0.0630882i | ||||
\(165\) | −8.32260e9 | + | 3.44733e9i | −0.874141 | + | 0.362081i | ||||
\(166\) | − | 9.86091e9i | − | 1.00793i | ||||||
\(167\) | −3.64124e9 | − | 8.79073e9i | −0.362264 | − | 0.874583i | −0.994968 | − | 0.100189i | \(-0.968055\pi\) |
0.632704 | − | 0.774394i | \(-0.281945\pi\) | |||||||
\(168\) | 2.89808e9 | + | 2.89808e9i | 0.280685 | + | 0.280685i | ||||
\(169\) | −1.67633e10 | −1.58078 | ||||||||
\(170\) | 1.15920e10 | − | 1.75473e10i | 1.06448 | − | 1.61135i | ||||
\(171\) | 2.48522e9 | 0.222270 | ||||||||
\(172\) | 1.61159e9 | + | 1.61159e9i | 0.140403 | + | 0.140403i | ||||
\(173\) | 5.16138e9 | + | 1.24607e10i | 0.438085 | + | 1.05763i | 0.976610 | + | 0.215020i | \(0.0689817\pi\) |
−0.538525 | + | 0.842610i | \(0.681018\pi\) | |||||||
\(174\) | 1.97300e10i | 1.63176i | ||||||||
\(175\) | 8.19350e9 | − | 3.39386e9i | 0.660387 | − | 0.273541i | ||||
\(176\) | 2.02930e9 | − | 4.89917e9i | 0.159419 | − | 0.384871i | ||||
\(177\) | −1.66875e10 | − | 6.91220e9i | −1.27795 | − | 0.529342i | ||||
\(178\) | −4.90860e9 | + | 4.90860e9i | −0.366495 | + | 0.366495i | ||||
\(179\) | 1.64159e10 | − | 1.64159e10i | 1.19516 | − | 1.19516i | 0.219564 | − | 0.975598i | \(-0.429537\pi\) |
0.975598 | − | 0.219564i | \(-0.0704633\pi\) | |||||||
\(180\) | 2.73066e9 | + | 1.13108e9i | 0.193884 | + | 0.0803092i | ||||
\(181\) | −4.00301e9 | + | 9.66412e9i | −0.277225 | + | 0.669281i | −0.999757 | − | 0.0220570i | \(-0.992978\pi\) |
0.722531 | + | 0.691338i | \(0.242978\pi\) | |||||||
\(182\) | −7.20199e9 | + | 2.98316e9i | −0.486554 | + | 0.201537i | ||||
\(183\) | 3.96896e10i | 2.61605i | ||||||||
\(184\) | 2.86062e9 | + | 6.90616e9i | 0.183984 | + | 0.444177i | ||||
\(185\) | −2.13477e10 | − | 2.13477e10i | −1.33992 | − | 1.33992i | ||||
\(186\) | −1.76697e10 | −1.08248 | ||||||||
\(187\) | 5.23705e9 | + | 3.45966e9i | 0.313184 | + | 0.206893i | ||||
\(188\) | 3.27099e9 | 0.190972 | ||||||||
\(189\) | 4.36605e8 | + | 4.36605e8i | 0.0248892 | + | 0.0248892i | ||||
\(190\) | 3.21531e9 | + | 7.76244e9i | 0.178991 | + | 0.432122i | ||||
\(191\) | 2.86896e10i | 1.55982i | 0.625893 | + | 0.779909i | \(0.284735\pi\) | ||||
−0.625893 | + | 0.779909i | \(0.715265\pi\) | |||||||
\(192\) | 2.03525e10 | − | 8.43027e9i | 1.08084 | − | 0.447699i | ||||
\(193\) | 4.04246e8 | − | 9.75935e8i | 0.0209719 | − | 0.0506306i | −0.913047 | − | 0.407855i | \(-0.866277\pi\) |
0.934019 | + | 0.357224i | \(0.116277\pi\) | |||||||
\(194\) | 6.27463e9 | + | 2.59904e9i | 0.318039 | + | 0.131736i | ||||
\(195\) | 5.78154e10 | − | 5.78154e10i | 2.86344 | − | 2.86344i | ||||
\(196\) | 1.66009e9 | − | 1.66009e9i | 0.0803487 | − | 0.0803487i | ||||
\(197\) | 1.37587e9 | + | 5.69905e8i | 0.0650849 | + | 0.0269590i | 0.414988 | − | 0.909827i | \(-0.363786\pi\) |
−0.349904 | + | 0.936786i | \(0.613786\pi\) | |||||||
\(198\) | −3.02474e9 | + | 7.30237e9i | −0.139860 | + | 0.337653i | ||||
\(199\) | −1.15991e10 | + | 4.80450e9i | −0.524306 | + | 0.217175i | −0.629107 | − | 0.777319i | \(-0.716579\pi\) |
0.104801 | + | 0.994493i | \(0.466579\pi\) | |||||||
\(200\) | − | 4.85589e10i | − | 2.14602i | ||||||
\(201\) | −3.98079e9 | − | 9.61047e9i | −0.172023 | − | 0.415300i | ||||
\(202\) | −3.74898e9 | − | 3.74898e9i | −0.158428 | − | 0.158428i | ||||
\(203\) | 8.30310e9 | 0.343169 | ||||||||
\(204\) | −8.61677e8 | − | 4.21617e9i | −0.0348344 | − | 0.170444i | ||||
\(205\) | 2.50199e10 | 0.989448 | ||||||||
\(206\) | −1.78851e9 | − | 1.78851e9i | −0.0691971 | − | 0.0691971i | ||||
\(207\) | −4.80808e9 | − | 1.16077e10i | −0.182014 | − | 0.439421i | ||||
\(208\) | 4.81306e10i | 1.78294i | ||||||||
\(209\) | −2.31672e9 | + | 9.59618e8i | −0.0839877 | + | 0.0347888i | ||||
\(210\) | 8.91240e9 | − | 2.15164e10i | 0.316234 | − | 0.763455i | ||||
\(211\) | −2.80434e10 | − | 1.16160e10i | −0.974003 | − | 0.403445i | −0.161802 | − | 0.986823i | \(-0.551731\pi\) |
−0.812201 | + | 0.583378i | \(0.801731\pi\) | |||||||
\(212\) | 7.05871e8 | − | 7.05871e8i | 0.0240002 | − | 0.0240002i | ||||
\(213\) | 1.83629e10 | − | 1.83629e10i | 0.611270 | − | 0.611270i | ||||
\(214\) | 1.10176e10 | + | 4.56363e9i | 0.359107 | + | 0.148747i | ||||
\(215\) | −3.44956e10 | + | 8.32797e10i | −1.10101 | + | 2.65807i | ||||
\(216\) | 3.12344e9 | − | 1.29377e9i | 0.0976320 | − | 0.0404405i | ||||
\(217\) | 7.43603e9i | 0.227652i | ||||||||
\(218\) | 5.84841e9 | + | 1.41193e10i | 0.175381 | + | 0.423408i | ||||
\(219\) | 6.01318e9 | + | 6.01318e9i | 0.176647 | + | 0.176647i | ||||
\(220\) | −2.98226e9 | −0.0858310 | ||||||||
\(221\) | −5.59321e10 | − | 1.08207e10i | −1.57723 | − | 0.305135i | ||||
\(222\) | −5.53530e10 | −1.52951 | ||||||||
\(223\) | −1.93597e10 | − | 1.93597e10i | −0.524235 | − | 0.524235i | 0.394613 | − | 0.918848i | \(-0.370879\pi\) |
−0.918848 | + | 0.394613i | \(0.870879\pi\) | |||||||
\(224\) | 1.11308e9 | + | 2.68721e9i | 0.0295400 | + | 0.0713158i | ||||
\(225\) | 8.16169e10i | 2.12304i | ||||||||
\(226\) | −2.11520e10 | + | 8.76145e9i | −0.539341 | + | 0.223403i | ||||
\(227\) | 1.30827e10 | − | 3.15845e10i | 0.327026 | − | 0.789511i | −0.671784 | − | 0.740747i | \(-0.734472\pi\) |
0.998810 | − | 0.0487639i | \(-0.0155282\pi\) | |||||||
\(228\) | 1.58837e9 | + | 6.57925e8i | 0.0389265 | + | 0.0161239i | ||||
\(229\) | 2.42111e9 | − | 2.42111e9i | 0.0581775 | − | 0.0581775i | −0.677419 | − | 0.735597i | \(-0.736902\pi\) |
0.735597 | + | 0.677419i | \(0.236902\pi\) | |||||||
\(230\) | 3.00356e10 | − | 3.00356e10i | 0.707719 | − | 0.707719i | ||||
\(231\) | 6.42165e9 | + | 2.65993e9i | 0.148386 | + | 0.0614634i | ||||
\(232\) | 1.73978e10 | − | 4.20021e10i | 0.394275 | − | 0.951863i | ||||
\(233\) | −3.20409e10 | + | 1.32718e10i | −0.712202 | + | 0.295004i | −0.709216 | − | 0.704992i | \(-0.750951\pi\) |
−0.00298684 | + | 0.999996i | \(0.500951\pi\) | |||||||
\(234\) | − | 7.17403e10i | − | 1.56420i | ||||||
\(235\) | 4.95079e10 | + | 1.19523e11i | 1.05893 | + | 2.55649i | ||||
\(236\) | −4.22828e9 | − | 4.22828e9i | −0.0887279 | − | 0.0887279i | ||||
\(237\) | −2.66210e10 | −0.548096 | ||||||||
\(238\) | −1.58983e10 | + | 3.24921e9i | −0.321185 | + | 0.0656419i | ||||
\(239\) | 6.84083e10 | 1.35618 | 0.678092 | − | 0.734977i | \(-0.262807\pi\) | ||||
0.678092 | + | 0.734977i | \(0.262807\pi\) | |||||||
\(240\) | −1.01677e11 | − | 1.01677e11i | −1.97822 | − | 1.97822i | ||||
\(241\) | −1.10054e10 | − | 2.65694e10i | −0.210150 | − | 0.507346i | 0.783296 | − | 0.621648i | \(-0.213537\pi\) |
−0.993446 | + | 0.114302i | \(0.963537\pi\) | |||||||
\(242\) | 4.86312e10i | 0.911478i | ||||||||
\(243\) | −6.90701e10 | + | 2.86098e10i | −1.27075 | + | 0.526364i | ||||
\(244\) | −5.02827e9 | + | 1.21393e10i | −0.0908164 | + | 0.219250i | ||||
\(245\) | 8.57860e10 | + | 3.55337e10i | 1.52114 | + | 0.630076i | ||||
\(246\) | 3.24373e10 | − | 3.24373e10i | 0.564725 | − | 0.564725i | ||||
\(247\) | 1.60938e10 | − | 1.60938e10i | 0.275120 | − | 0.275120i | ||||
\(248\) | 3.76159e10 | + | 1.55810e10i | 0.631449 | + | 0.261555i | ||||
\(249\) | 3.05398e10 | − | 7.37295e10i | 0.503464 | − | 1.21547i | ||||
\(250\) | −1.44728e11 | + | 5.99481e10i | −2.34326 | + | 0.970612i | ||||
\(251\) | − | 5.08079e10i | − | 0.807978i | −0.914764 | − | 0.403989i | \(-0.867623\pi\) | ||
0.914764 | − | 0.403989i | \(-0.132377\pi\) | |||||||
\(252\) | −8.72728e8 | − | 2.10695e9i | −0.0136325 | − | 0.0329118i | ||||
\(253\) | 8.96420e9 | + | 8.96420e9i | 0.137553 | + | 0.137553i | ||||
\(254\) | 1.29655e11 | 1.95451 | ||||||||
\(255\) | 1.41018e11 | − | 9.52993e10i | 2.08854 | − | 1.41143i | ||||
\(256\) | 2.55069e10 | 0.371174 | ||||||||
\(257\) | −3.13927e10 | − | 3.13927e10i | −0.448879 | − | 0.448879i | 0.446103 | − | 0.894982i | \(-0.352812\pi\) |
−0.894982 | + | 0.446103i | \(0.852812\pi\) | |||||||
\(258\) | 6.32467e10 | + | 1.52691e11i | 0.888688 | + | 2.14548i | ||||
\(259\) | 2.32945e10i | 0.321666i | ||||||||
\(260\) | 2.50078e10 | − | 1.03586e10i | 0.339388 | − | 0.140579i | ||||
\(261\) | −2.92419e10 | + | 7.05963e10i | −0.390053 | + | 0.941672i | ||||
\(262\) | −6.13465e10 | − | 2.54106e10i | −0.804330 | − | 0.333164i | ||||
\(263\) | 3.14949e10 | − | 3.14949e10i | 0.405920 | − | 0.405920i | −0.474393 | − | 0.880313i | \(-0.657333\pi\) |
0.880313 | + | 0.474393i | \(0.157333\pi\) | |||||||
\(264\) | 2.69111e10 | − | 2.69111e10i | 0.340968 | − | 0.340968i | ||||
\(265\) | 3.64763e10 | + | 1.51090e10i | 0.454365 | + | 0.188204i | ||||
\(266\) | 2.48090e9 | − | 5.98943e9i | 0.0303838 | − | 0.0733530i | ||||
\(267\) | −5.19035e10 | + | 2.14991e10i | −0.625023 | + | 0.258893i | ||||
\(268\) | − | 3.44375e9i | − | 0.0407779i | ||||||
\(269\) | −2.96827e10 | − | 7.16604e10i | −0.345635 | − | 0.834438i | −0.997125 | − | 0.0757798i | \(-0.975855\pi\) |
0.651489 | − | 0.758658i | \(-0.274145\pi\) | |||||||
\(270\) | −1.35842e10 | − | 1.35842e10i | −0.155559 | − | 0.155559i | ||||
\(271\) | −2.04736e10 | −0.230586 | −0.115293 | − | 0.993332i | \(-0.536781\pi\) | ||||
−0.115293 | + | 0.993332i | \(0.536781\pi\) | |||||||
\(272\) | −1.90300e10 | + | 9.83655e10i | −0.210803 | + | 1.08964i | ||||
\(273\) | −6.30879e10 | −0.687407 | ||||||||
\(274\) | −5.19513e10 | − | 5.19513e10i | −0.556826 | − | 0.556826i | ||||
\(275\) | −3.15148e10 | − | 7.60834e10i | −0.332290 | − | 0.802218i | ||||
\(276\) | − | 8.69170e9i | − | 0.0901600i | ||||||
\(277\) | 8.43800e10 | − | 3.49513e10i | 0.861154 | − | 0.356702i | 0.0919951 | − | 0.995759i | \(-0.470676\pi\) |
0.769159 | + | 0.639058i | \(0.220676\pi\) | |||||||
\(278\) | 3.26175e10 | − | 7.87457e10i | 0.327529 | − | 0.790724i | ||||
\(279\) | −6.32241e10 | − | 2.61883e10i | −0.624689 | − | 0.258754i | ||||
\(280\) | −3.79462e10 | + | 3.79462e10i | −0.368941 | + | 0.368941i | ||||
\(281\) | −1.12465e11 | + | 1.12465e11i | −1.07607 | + | 1.07607i | −0.0792071 | + | 0.996858i | \(0.525239\pi\) |
−0.996858 | + | 0.0792071i | \(0.974761\pi\) | |||||||
\(282\) | 2.19141e11 | + | 9.07713e10i | 2.06349 | + | 0.854727i | ||||
\(283\) | −1.88974e10 | + | 4.56224e10i | −0.175131 | + | 0.422804i | −0.986933 | − | 0.161129i | \(-0.948487\pi\) |
0.811802 | + | 0.583932i | \(0.198487\pi\) | |||||||
\(284\) | 7.94280e9 | − | 3.29002e9i | 0.0724505 | − | 0.0300100i | ||||
\(285\) | 6.79973e10i | 0.610506i | ||||||||
\(286\) | 2.77011e10 | + | 6.68764e10i | 0.244822 | + | 0.591052i | ||||
\(287\) | −1.36508e10 | − | 1.36508e10i | −0.118765 | − | 0.118765i | ||||
\(288\) | −2.67678e10 | −0.229269 | ||||||||
\(289\) | −1.10031e11 | − | 4.42291e10i | −0.927846 | − | 0.372964i | ||||
\(290\) | −2.58336e11 | −2.14484 | ||||||||
\(291\) | 3.88657e10 | + | 3.88657e10i | 0.317723 | + | 0.317723i | ||||
\(292\) | 1.07736e9 | + | 2.60098e9i | 0.00867238 | + | 0.0209370i | ||||
\(293\) | 9.46411e10i | 0.750197i | 0.926985 | + | 0.375099i | \(0.122391\pi\) | ||||
−0.926985 | + | 0.375099i | \(0.877609\pi\) | |||||||
\(294\) | 1.57286e11 | − | 6.51501e10i | 1.22780 | − | 0.508572i | ||||
\(295\) | 9.05052e10 | − | 2.18499e11i | 0.695784 | − | 1.67977i | ||||
\(296\) | 1.17838e11 | + | 4.88100e10i | 0.892219 | + | 0.369569i | ||||
\(297\) | 4.05424e9 | − | 4.05424e9i | 0.0302347 | − | 0.0302347i | ||||
\(298\) | −6.58873e10 | + | 6.58873e10i | −0.483981 | + | 0.483981i | ||||
\(299\) | −1.06306e11 | − | 4.40333e10i | −0.769195 | − | 0.318611i | ||||
\(300\) | −2.16069e10 | + | 5.21636e10i | −0.154009 | + | 0.371811i | ||||
\(301\) | 6.42579e10 | − | 2.66165e10i | 0.451209 | − | 0.186897i | ||||
\(302\) | 1.98887e11i | 1.37586i | ||||||||
\(303\) | −1.64201e10 | − | 3.96417e10i | −0.111914 | − | 0.270184i | ||||
\(304\) | −2.83035e10 | − | 2.83035e10i | −0.190068 | − | 0.190068i | ||||
\(305\) | −5.19677e11 | −3.43862 | ||||||||
\(306\) | 2.83648e10 | − | 1.46617e11i | 0.184941 | − | 0.955955i | ||||
\(307\) | 1.91043e11 | 1.22746 | 0.613731 | − | 0.789515i | \(-0.289668\pi\) | ||||
0.613731 | + | 0.789515i | \(0.289668\pi\) | |||||||
\(308\) | 1.62712e9 | + | 1.62712e9i | 0.0103024 | + | 0.0103024i | ||||
\(309\) | −7.83347e9 | − | 1.89117e10i | −0.0488811 | − | 0.118009i | ||||
\(310\) | − | 2.31359e11i | − | 1.42285i | ||||||
\(311\) | 1.68463e11 | − | 6.97795e10i | 1.02113 | − | 0.422966i | 0.191628 | − | 0.981468i | \(-0.438623\pi\) |
0.829504 | + | 0.558501i | \(0.188623\pi\) | |||||||
\(312\) | −1.32191e11 | + | 3.19136e11i | −0.789777 | + | 1.90669i | ||||
\(313\) | −2.00329e11 | − | 8.29791e10i | −1.17976 | − | 0.488674i | −0.295355 | − | 0.955388i | \(-0.595438\pi\) |
−0.884409 | + | 0.466714i | \(0.845438\pi\) | |||||||
\(314\) | 1.96444e11 | − | 1.96444e11i | 1.14040 | − | 1.14040i | ||||
\(315\) | 6.37792e10 | − | 6.37792e10i | 0.364990 | − | 0.364990i | ||||
\(316\) | −8.14220e9 | − | 3.37261e9i | −0.0459356 | − | 0.0190272i | ||||
\(317\) | 9.15764e10 | − | 2.21085e11i | 0.509351 | − | 1.22968i | −0.434907 | − | 0.900475i | \(-0.643219\pi\) |
0.944258 | − | 0.329206i | \(-0.106781\pi\) | |||||||
\(318\) | 6.68783e10 | − | 2.77019e10i | 0.366744 | − | 0.151910i | ||||
\(319\) | − | 7.71011e10i | − | 0.416872i | ||||||
\(320\) | 1.10382e11 | + | 2.66486e11i | 0.588470 | + | 1.42069i | ||||
\(321\) | 6.82441e10 | + | 6.82441e10i | 0.358750 | + | 0.358750i | ||||
\(322\) | −3.27747e10 | −0.169897 | ||||||||
\(323\) | 3.92544e10 | − | 2.65280e10i | 0.200667 | − | 0.135610i | ||||
\(324\) | −2.67999e10 | −0.135108 | ||||||||
\(325\) | 5.28536e11 | + | 5.28536e11i | 2.62784 | + | 2.62784i | ||||
\(326\) | 6.49115e10 | + | 1.56710e11i | 0.318304 | + | 0.768455i | ||||
\(327\) | 1.23682e11i | 0.598194i | ||||||||
\(328\) | −9.76568e10 | + | 4.04508e10i | −0.465876 | + | 0.192972i | ||||
\(329\) | 3.81998e10 | − | 9.22225e10i | 0.179755 | − | 0.433966i | ||||
\(330\) | −1.99798e11 | − | 8.27590e10i | −0.927424 | − | 0.384151i | ||||
\(331\) | −1.90564e11 | + | 1.90564e11i | −0.872601 | + | 0.872601i | −0.992755 | − | 0.120154i | \(-0.961661\pi\) |
0.120154 | + | 0.992755i | \(0.461661\pi\) | |||||||
\(332\) | 1.86816e10 | − | 1.86816e10i | 0.0843902 | − | 0.0843902i | ||||
\(333\) | −1.98059e11 | − | 8.20389e10i | −0.882666 | − | 0.365612i | ||||
\(334\) | 8.74140e10 | − | 2.11036e11i | 0.384346 | − | 0.927893i | ||||
\(335\) | 1.25835e11 | − | 5.21226e10i | 0.545884 | − | 0.226112i | ||||
\(336\) | 1.10950e11i | 0.474898i | ||||||||
\(337\) | 7.22754e10 | + | 1.74488e11i | 0.305250 | + | 0.736939i | 0.999846 | + | 0.0175389i | \(0.00558310\pi\) |
−0.694596 | + | 0.719400i | \(0.744417\pi\) | |||||||
\(338\) | −2.84562e11 | − | 2.84562e11i | −1.18591 | − | 1.18591i | ||||
\(339\) | −1.85287e11 | −0.761985 | ||||||||
\(340\) | 5.52046e10 | − | 1.12824e10i | 0.224037 | − | 0.0457875i | ||||
\(341\) | 6.90496e10 | 0.276546 | ||||||||
\(342\) | 4.21872e10 | + | 4.21872e10i | 0.166749 | + | 0.166749i | ||||
\(343\) | −5.77290e10 | − | 1.39370e11i | −0.225201 | − | 0.543683i | ||||
\(344\) | − | 3.80825e11i | − | 1.46627i | ||||||
\(345\) | 3.17596e11 | − | 1.31553e11i | 1.20695 | − | 0.499935i | ||||
\(346\) | −1.23907e11 | + | 2.99139e11i | −0.464788 | + | 1.12210i | ||||
\(347\) | 1.56709e11 | + | 6.49111e10i | 0.580246 | + | 0.240346i | 0.653448 | − | 0.756971i | \(-0.273322\pi\) |
−0.0732020 | + | 0.997317i | \(0.523322\pi\) | |||||||
\(348\) | −3.73787e10 | + | 3.73787e10i | −0.136621 | + | 0.136621i | ||||
\(349\) | 2.15716e11 | − | 2.15716e11i | 0.778339 | − | 0.778339i | −0.201209 | − | 0.979548i | \(-0.564487\pi\) |
0.979548 | + | 0.201209i | \(0.0644871\pi\) | |||||||
\(350\) | 1.96699e11 | + | 8.14752e10i | 0.700640 | + | 0.290215i | ||||
\(351\) | −1.99149e10 | + | 4.80789e10i | −0.0700320 | + | 0.169072i | ||||
\(352\) | 2.49530e10 | − | 1.03359e10i | 0.0866323 | − | 0.0358843i | ||||
\(353\) | 1.48766e10i | 0.0509938i | 0.999675 | + | 0.0254969i | \(0.00811680\pi\) | ||||
−0.999675 | + | 0.0254969i | \(0.991883\pi\) | |||||||
\(354\) | −1.65939e11 | − | 4.00612e11i | −0.561608 | − | 1.35584i | ||||
\(355\) | 2.40435e11 | + | 2.40435e11i | 0.803472 | + | 0.803472i | ||||
\(356\) | −1.85988e10 | −0.0613704 | ||||||||
\(357\) | −1.28934e11 | − | 2.49438e10i | −0.420107 | − | 0.0812746i | ||||
\(358\) | 5.57329e11 | 1.79324 | ||||||||
\(359\) | 5.75504e10 | + | 5.75504e10i | 0.182862 | + | 0.182862i | 0.792602 | − | 0.609740i | \(-0.208726\pi\) |
−0.609740 | + | 0.792602i | \(0.708726\pi\) | |||||||
\(360\) | −1.88994e11 | − | 4.56272e11i | −0.593044 | − | 1.43174i | ||||
\(361\) | − | 3.03760e11i | − | 0.941342i | ||||||
\(362\) | −2.32003e11 | + | 9.60988e10i | −0.710077 | + | 0.294123i | ||||
\(363\) | −1.50613e11 | + | 3.63613e11i | −0.455286 | + | 1.09916i | ||||
\(364\) | −1.92958e10 | − | 7.99260e9i | −0.0576113 | − | 0.0238634i | ||||
\(365\) | −7.87338e10 | + | 7.87338e10i | −0.232190 | + | 0.232190i | ||||
\(366\) | −6.73741e11 | + | 6.73741e11i | −1.96258 | + | 1.96258i | ||||
\(367\) | −2.55267e11 | − | 1.05735e11i | −0.734510 | − | 0.304244i | −0.0161060 | − | 0.999870i | \(-0.505127\pi\) |
−0.718404 | + | 0.695626i | \(0.755127\pi\) | |||||||
\(368\) | −7.74395e10 | + | 1.86955e11i | −0.220114 | + | 0.531402i | ||||
\(369\) | 1.64140e11 | − | 6.79889e10i | 0.460888 | − | 0.190906i | ||||
\(370\) | − | 7.24767e11i | − | 2.01044i | ||||||
\(371\) | −1.16580e10 | − | 2.81448e10i | −0.0319477 | − | 0.0771286i | ||||
\(372\) | −3.34753e10 | − | 3.34753e10i | −0.0906319 | − | 0.0906319i | ||||
\(373\) | −6.75562e10 | −0.180707 | −0.0903536 | − | 0.995910i | \(-0.528800\pi\) | ||||
−0.0903536 | + | 0.995910i | \(0.528800\pi\) | |||||||
\(374\) | 3.01716e10 | + | 1.47629e11i | 0.0797399 | + | 0.390166i | ||||
\(375\) | −1.26778e12 | −3.31058 | ||||||||
\(376\) | −3.86475e11 | − | 3.86475e11i | −0.997186 | − | 0.997186i | ||||
\(377\) | 2.67803e11 | + | 6.46533e11i | 0.682777 | + | 1.64837i | ||||
\(378\) | 1.48230e10i | 0.0373441i | ||||||||
\(379\) | −2.11137e10 | + | 8.74557e9i | −0.0525639 | + | 0.0217727i | −0.408811 | − | 0.912619i | \(-0.634056\pi\) |
0.356247 | + | 0.934392i | \(0.384056\pi\) | |||||||
\(380\) | −8.61457e9 | + | 2.07974e10i | −0.0211937 | + | 0.0511662i | ||||
\(381\) | 9.69426e11 | + | 4.01550e11i | 2.35696 | + | 0.976285i | ||||
\(382\) | −4.87013e11 | + | 4.87013e11i | −1.17019 | + | 1.17019i | ||||
\(383\) | −3.82869e11 | + | 3.82869e11i | −0.909192 | + | 0.909192i | −0.996207 | − | 0.0870148i | \(-0.972267\pi\) |
0.0870148 | + | 0.996207i | \(0.472267\pi\) | |||||||
\(384\) | 6.24779e11 | + | 2.58792e11i | 1.46635 | + | 0.607380i | ||||
\(385\) | −3.48280e10 | + | 8.40821e10i | −0.0807895 | + | 0.195043i | ||||
\(386\) | 2.34289e10 | − | 9.70458e9i | 0.0537168 | − | 0.0222502i | ||||
\(387\) | 6.40084e11i | 1.45057i | ||||||||
\(388\) | 6.96344e9 | + | 1.68112e10i | 0.0155984 | + | 0.0376579i | ||||
\(389\) | −1.72480e11 | − | 1.72480e11i | −0.381914 | − | 0.381914i | 0.489878 | − | 0.871791i | \(-0.337041\pi\) |
−0.871791 | + | 0.489878i | \(0.837041\pi\) | |||||||
\(390\) | 1.96286e12 | 4.29635 | ||||||||
\(391\) | −1.99849e11 | − | 1.32023e11i | −0.432421 | − | 0.285663i | ||||
\(392\) | −3.92286e11 | −0.839104 | ||||||||
\(393\) | −3.79987e11 | − | 3.79987e11i | −0.803530 | − | 0.803530i | ||||
\(394\) | 1.36815e10 | + | 3.30301e10i | 0.0286023 | + | 0.0690521i | ||||
\(395\) | − | 3.48563e11i | − | 0.720434i | ||||||
\(396\) | −1.95648e10 | + | 8.10399e9i | −0.0399803 | + | 0.0165604i | ||||
\(397\) | 2.58257e11 | − | 6.23487e11i | 0.521788 | − | 1.25971i | −0.415004 | − | 0.909820i | \(-0.636220\pi\) |
0.936792 | − | 0.349888i | \(-0.113780\pi\) | |||||||
\(398\) | −2.78455e11 | − | 1.15340e11i | −0.556264 | − | 0.230412i | ||||
\(399\) | 3.70991e10 | − | 3.70991e10i | 0.0732800 | − | 0.0732800i | ||||
\(400\) | 9.29513e11 | − | 9.29513e11i | 1.81545 | − | 1.81545i | ||||
\(401\) | −3.46789e11 | − | 1.43645e11i | −0.669754 | − | 0.277421i | 0.0217824 | − | 0.999763i | \(-0.493066\pi\) |
−0.691537 | + | 0.722341i | \(0.743066\pi\) | |||||||
\(402\) | 9.55654e10 | − | 2.30715e11i | 0.182509 | − | 0.440615i | ||||
\(403\) | −5.79017e11 | + | 2.39837e11i | −1.09350 | + | 0.452943i | ||||
\(404\) | − | 1.42049e10i | − | 0.0265291i | ||||||
\(405\) | −4.05628e11 | − | 9.79272e11i | −0.749169 | − | 1.80866i | ||||
\(406\) | 1.40947e11 | + | 1.40947e11i | 0.257448 | + | 0.257448i | ||||
\(407\) | 2.16309e11 | 0.390751 | ||||||||
\(408\) | −3.96341e11 | + | 5.99959e11i | −0.708105 | + | 1.07189i | ||||
\(409\) | 6.31772e11 | 1.11636 | 0.558182 | − | 0.829719i | \(-0.311499\pi\) | ||||
0.558182 | + | 0.829719i | \(0.311499\pi\) | |||||||
\(410\) | 4.24719e11 | + | 4.24719e11i | 0.742292 | + | 0.742292i | ||||
\(411\) | −2.27541e11 | − | 5.49333e11i | −0.393344 | − | 0.949615i | ||||
\(412\) | − | 6.77668e9i | − | 0.0115872i | ||||||
\(413\) | −1.68592e11 | + | 6.98330e10i | −0.285142 | + | 0.118110i | ||||
\(414\) | 1.15426e11 | − | 2.78663e11i | 0.193109 | − | 0.466206i | ||||
\(415\) | 9.65381e11 | + | 3.99874e11i | 1.59765 | + | 0.661769i | ||||
\(416\) | −1.73343e11 | + | 1.73343e11i | −0.283783 | + | 0.283783i | ||||
\(417\) | 4.87759e11 | − | 4.87759e11i | 0.789938 | − | 0.789938i | ||||
\(418\) | −5.56167e10 | − | 2.30372e10i | −0.0891071 | − | 0.0369094i | ||||
\(419\) | 2.22593e11 | − | 5.37386e11i | 0.352815 | − | 0.851772i | −0.643455 | − | 0.765484i | \(-0.722500\pi\) |
0.996270 | − | 0.0862876i | \(-0.0275004\pi\) | |||||||
\(420\) | 5.76477e10 | − | 2.38784e10i | 0.0903982 | − | 0.0374442i | ||||
\(421\) | − | 3.73500e11i | − | 0.579457i | −0.957109 | − | 0.289729i | \(-0.906435\pi\) | ||
0.957109 | − | 0.289729i | \(-0.0935650\pi\) | |||||||
\(422\) | −2.78861e11 | − | 6.73229e11i | −0.428037 | − | 1.03337i | ||||
\(423\) | 6.49580e11 | + | 6.49580e11i | 0.986509 | + | 0.986509i | ||||
\(424\) | −1.66801e11 | −0.250640 | ||||||||
\(425\) | 8.71205e11 | + | 1.28915e12i | 1.29530 | + | 1.91670i | ||||
\(426\) | 6.23430e11 | 0.917159 | ||||||||
\(427\) | 2.83535e11 | + | 2.83535e11i | 0.412744 | + | 0.412744i | ||||
\(428\) | 1.22271e10 | + | 2.95187e10i | 0.0176127 | + | 0.0425207i | ||||
\(429\) | 5.85823e11i | 0.835042i | ||||||||
\(430\) | −1.99927e12 | + | 8.28124e11i | −2.82009 | + | 1.16812i | ||||
\(431\) | −5.05594e11 | + | 1.22061e12i | −0.705755 | + | 1.70384i | 0.00459030 | + | 0.999989i | \(0.498539\pi\) |
−0.710345 | + | 0.703853i | \(0.751461\pi\) | |||||||
\(432\) | 8.45542e10 | + | 3.50235e10i | 0.116804 | + | 0.0483819i | ||||
\(433\) | 3.22957e11 | − | 3.22957e11i | 0.441519 | − | 0.441519i | −0.451004 | − | 0.892522i | \(-0.648934\pi\) |
0.892522 | + | 0.451004i | \(0.148934\pi\) | |||||||
\(434\) | −1.26229e11 | + | 1.26229e11i | −0.170787 | + | 0.170787i | ||||
\(435\) | −1.93156e12 | − | 8.00080e11i | −2.58647 | − | 1.07135i | ||||
\(436\) | −1.56693e10 | + | 3.78290e10i | −0.0207663 | + | 0.0501343i | ||||
\(437\) | 8.84076e10 | − | 3.66196e10i | 0.115964 | − | 0.0480339i | ||||
\(438\) | 2.04151e11i | 0.265043i | ||||||||
\(439\) | 8.69315e10 | + | 2.09871e11i | 0.111709 | + | 0.269689i | 0.969840 | − | 0.243741i | \(-0.0783747\pi\) |
−0.858132 | + | 0.513430i | \(0.828375\pi\) | |||||||
\(440\) | 3.52361e11 | + | 3.52361e11i | 0.448179 | + | 0.448179i | ||||
\(441\) | 6.59347e11 | 0.830119 | ||||||||
\(442\) | −7.65778e11 | − | 1.13315e12i | −0.954340 | − | 1.41217i | ||||
\(443\) | 1.03387e12 | 1.27541 | 0.637706 | − | 0.770280i | \(-0.279883\pi\) | ||||
0.637706 | + | 0.770280i | \(0.279883\pi\) | |||||||
\(444\) | −1.04867e11 | − | 1.04867e11i | −0.128060 | − | 0.128060i | ||||
\(445\) | −2.81500e11 | − | 6.79601e11i | −0.340297 | − | 0.821550i | ||||
\(446\) | − | 6.57271e11i | − | 0.786571i | ||||||
\(447\) | −6.96692e11 | + | 2.88579e11i | −0.825386 | + | 0.341886i | ||||
\(448\) | 8.51699e10 | − | 2.05618e11i | 0.0998930 | − | 0.241163i | ||||
\(449\) | −9.82075e11 | − | 4.06789e11i | −1.14034 | − | 0.472346i | −0.269060 | − | 0.963123i | \(-0.586713\pi\) |
−0.871285 | + | 0.490777i | \(0.836713\pi\) | |||||||
\(450\) | −1.38547e12 | + | 1.38547e12i | −1.59272 | + | 1.59272i | ||||
\(451\) | −1.26759e11 | + | 1.26759e11i | −0.144272 | + | 0.144272i | ||||
\(452\) | −5.66713e10 | − | 2.34740e10i | −0.0638616 | − | 0.0264524i | ||||
\(453\) | −6.15964e11 | + | 1.48707e12i | −0.687248 | + | 1.65916i | ||||
\(454\) | 7.58239e11 | − | 3.14073e11i | 0.837635 | − | 0.346960i | ||||
\(455\) | − | 8.26044e11i | − | 0.903549i | ||||||
\(456\) | −1.09934e11 | − | 2.65405e11i | −0.119067 | − | 0.287453i | ||||
\(457\) | −5.84376e10 | − | 5.84376e10i | −0.0626714 | − | 0.0626714i | 0.675076 | − | 0.737748i | \(-0.264111\pi\) |
−0.737748 | + | 0.675076i | \(0.764111\pi\) | |||||||
\(458\) | 8.21980e10 | 0.0872904 | ||||||||
\(459\) | −5.97100e10 | + | 9.03857e10i | −0.0627899 | + | 0.0950479i | ||||
\(460\) | 1.13805e11 | 0.118509 | ||||||||
\(461\) | −1.35041e11 | − | 1.35041e11i | −0.139255 | − | 0.139255i | 0.634043 | − | 0.773298i | \(-0.281394\pi\) |
−0.773298 | + | 0.634043i | \(0.781394\pi\) | |||||||
\(462\) | 6.38561e10 | + | 1.54162e11i | 0.0652099 | + | 0.157431i | ||||
\(463\) | 9.16066e11i | 0.926429i | 0.886246 | + | 0.463214i | \(0.153304\pi\) | ||||
−0.886246 | + | 0.463214i | \(0.846696\pi\) | |||||||
\(464\) | 1.13703e12 | − | 4.70973e11i | 1.13878 | − | 0.471700i | ||||
\(465\) | 7.16529e11 | − | 1.72986e12i | 0.710715 | − | 1.71582i | ||||
\(466\) | −7.69196e11 | − | 3.18611e11i | −0.755614 | − | 0.312986i | ||||
\(467\) | 1.23947e12 | − | 1.23947e12i | 1.20590 | − | 1.20590i | 0.233558 | − | 0.972343i | \(-0.424963\pi\) |
0.972343 | − | 0.233558i | \(-0.0750368\pi\) | |||||||
\(468\) | 1.35912e11 | − | 1.35912e11i | 0.130964 | − | 0.130964i | ||||
\(469\) | −9.70933e10 | − | 4.02173e10i | −0.0926640 | − | 0.0383827i | ||||
\(470\) | −1.18852e12 | + | 2.86934e12i | −1.12348 | + | 2.71232i | ||||
\(471\) | 2.07720e12 | − | 8.60404e11i | 1.94484 | − | 0.805580i | ||||
\(472\) | 9.99162e11i | 0.926610i | ||||||||
\(473\) | −2.47156e11 | − | 5.96687e11i | −0.227037 | − | 0.548115i | ||||
\(474\) | −4.51898e11 | − | 4.51898e11i | −0.411186 | − | 0.411186i | ||||
\(475\) | −6.21616e11 | −0.560275 | ||||||||
\(476\) | −3.62751e10 | − | 2.39638e10i | −0.0323875 | − | 0.0213956i | ||||
\(477\) | 2.80355e11 | 0.247957 | ||||||||
\(478\) | 1.16125e12 | + | 1.16125e12i | 1.01742 | + | 1.01742i | ||||
\(479\) | −3.08134e11 | − | 7.43901e11i | −0.267442 | − | 0.645662i | 0.731919 | − | 0.681391i | \(-0.238625\pi\) |
−0.999362 | + | 0.0357289i | \(0.988625\pi\) | |||||||
\(480\) | − | 7.32385e11i | − | 0.629730i | ||||||
\(481\) | −1.81386e12 | + | 7.51327e11i | −1.54508 | + | 0.639994i | ||||
\(482\) | 2.64203e11 | − | 6.37841e11i | 0.222959 | − | 0.538271i | ||||
\(483\) | −2.45054e11 | − | 1.01505e11i | −0.204880 | − | 0.0848642i | ||||
\(484\) | −9.21322e10 | + | 9.21322e10i | −0.0763145 | + | 0.0763145i | ||||
\(485\) | −5.08890e11 | + | 5.08890e11i | −0.417625 | + | 0.417625i | ||||
\(486\) | −1.65814e12 | − | 6.86824e11i | −1.34821 | − | 0.558448i | ||||
\(487\) | 7.74597e10 | − | 1.87004e11i | 0.0624015 | − | 0.150651i | −0.889603 | − | 0.456735i | \(-0.849019\pi\) |
0.952004 | + | 0.306084i | \(0.0990189\pi\) | |||||||
\(488\) | 2.02839e12 | − | 8.40186e11i | 1.61906 | − | 0.670635i | ||||
\(489\) | 1.37275e12i | 1.08568i | ||||||||
\(490\) | 8.53046e11 | + | 2.05943e12i | 0.668482 | + | 1.61386i | ||||
\(491\) | −9.92536e11 | − | 9.92536e11i | −0.770690 | − | 0.770690i | 0.207538 | − | 0.978227i | \(-0.433455\pi\) |
−0.978227 | + | 0.207538i | \(0.933455\pi\) | |||||||
\(492\) | 1.22905e11 | 0.0945645 | ||||||||
\(493\) | 2.91686e11 | + | 1.42722e12i | 0.222385 | + | 1.08812i | ||||
\(494\) | 5.46393e11 | 0.412794 | ||||||||
\(495\) | −5.92242e11 | − | 5.92242e11i | −0.443380 | − | 0.443380i | ||||
\(496\) | 4.21791e11 | + | 1.01829e12i | 0.312917 | + | 0.755449i | ||||
\(497\) | − | 2.62362e11i | − | 0.192884i | ||||||
\(498\) | 1.77000e12 | − | 7.33157e11i | 1.28956 | − | 0.534152i | ||||
\(499\) | −5.15595e11 | + | 1.24476e12i | −0.372268 | + | 0.898735i | 0.621097 | + | 0.783734i | \(0.286687\pi\) |
−0.993365 | + | 0.115001i | \(0.963313\pi\) | |||||||
\(500\) | −3.87760e11 | − | 1.60615e11i | −0.277458 | − | 0.114927i | ||||
\(501\) | 1.30718e12 | − | 1.30718e12i | 0.926970 | − | 0.926970i | ||||
\(502\) | 8.62478e11 | − | 8.62478e11i | 0.606152 | − | 0.606152i | ||||
\(503\) | 8.96339e11 | + | 3.71276e11i | 0.624333 | + | 0.258607i | 0.672343 | − | 0.740240i | \(-0.265288\pi\) |
−0.0480100 | + | 0.998847i | \(0.515288\pi\) | |||||||
\(504\) | −1.45826e11 | + | 3.52056e11i | −0.100670 | + | 0.243038i | ||||
\(505\) | 5.19050e11 | − | 2.14998e11i | 0.355139 | − | 0.147103i | ||||
\(506\) | 3.04340e11i | 0.206386i | ||||||||
\(507\) | −1.24635e12 | − | 3.00896e12i | −0.837731 | − | 2.02246i | ||||
\(508\) | 2.45633e11 | + | 2.45633e11i | 0.163644 | + | 0.163644i | ||||
\(509\) | 4.58129e11 | 0.302523 | 0.151261 | − | 0.988494i | \(-0.451666\pi\) | ||||
0.151261 | + | 0.988494i | \(0.451666\pi\) | |||||||
\(510\) | 4.01154e12 | + | 7.76080e11i | 2.62570 | + | 0.507973i | ||||
\(511\) | 8.59139e10 | 0.0557403 | ||||||||
\(512\) | −8.27174e11 | − | 8.27174e11i | −0.531964 | − | 0.531964i | ||||
\(513\) | −1.65620e10 | − | 3.99841e10i | −0.0105580 | − | 0.0254894i | ||||
\(514\) | − | 1.06580e12i | − | 0.673506i | ||||||
\(515\) | 2.47621e11 | − | 1.02568e11i | 0.155115 | − | 0.0642508i | ||||
\(516\) | −1.69453e11 | + | 4.09096e11i | −0.105227 | + | 0.254040i | ||||
\(517\) | −8.56362e11 | − | 3.54717e11i | −0.527169 | − | 0.218361i | ||||
\(518\) | −3.95431e11 | + | 3.95431e11i | −0.241316 | + | 0.241316i | ||||
\(519\) | −1.85290e12 | + | 1.85290e12i | −1.12098 | + | 1.12098i | ||||
\(520\) | −4.17862e12 | − | 1.73084e12i | −2.50621 | − | 1.03811i | ||||
\(521\) | 3.74746e11 | − | 9.04716e11i | 0.222827 | − | 0.537951i | −0.772445 | − | 0.635082i | \(-0.780966\pi\) |
0.995272 | + | 0.0971306i | \(0.0309665\pi\) | |||||||
\(522\) | −1.69478e12 | + | 7.02001e11i | −0.999071 | + | 0.413829i | ||||
\(523\) | 1.82449e12i | 1.06631i | 0.846016 | + | 0.533157i | \(0.178994\pi\) | ||||
−0.846016 | + | 0.533157i | \(0.821006\pi\) | |||||||
\(524\) | −6.80809e10 | − | 1.64362e11i | −0.0394489 | − | 0.0952380i | ||||
\(525\) | 1.21837e12 | + | 1.21837e12i | 0.699943 | + | 0.699943i | ||||
\(526\) | 1.06927e12 | 0.609048 | ||||||||
\(527\) | −1.27818e12 | + | 2.61226e11i | −0.721843 | + | 0.147526i | ||||
\(528\) | 1.03026e12 | 0.576892 | ||||||||
\(529\) | 9.31527e11 | + | 9.31527e11i | 0.517184 | + | 0.517184i | ||||
\(530\) | 3.62716e11 | + | 8.75674e11i | 0.199676 | + | 0.482060i | ||||
\(531\) | − | 1.67937e12i | − | 0.916689i | ||||||
\(532\) | 1.60471e10 | − | 6.64693e9i | 0.00868549 | − | 0.00359765i | ||||
\(533\) | 6.22655e11 | − | 1.50322e12i | 0.334176 | − | 0.806771i | ||||
\(534\) | −1.24603e12 | − | 5.16122e11i | −0.663121 | − | 0.274674i | ||||
\(535\) | −8.93557e11 | + | 8.93557e11i | −0.471553 | + | 0.471553i | ||||
\(536\) | −4.06887e11 | + | 4.06887e11i | −0.212928 | + | 0.212928i | ||||
\(537\) | 4.16712e12 | + | 1.72608e12i | 2.16248 | + | 0.895728i | ||||
\(538\) | 7.12583e11 | − | 1.72033e12i | 0.366703 | − | 0.885300i | ||||
\(539\) | −6.14644e11 | + | 2.54594e11i | −0.313671 | + | 0.129927i | ||||
\(540\) | − | 5.14706e10i | − | 0.0260488i | ||||||
\(541\) | 9.74086e11 | + | 2.35165e12i | 0.488888 | + | 1.18028i | 0.955280 | + | 0.295703i | \(0.0955537\pi\) |
−0.466392 | + | 0.884578i | \(0.654446\pi\) | |||||||
\(542\) | −3.47545e11 | − | 3.47545e11i | −0.172987 | − | 0.172987i | ||||
\(543\) | −2.03230e12 | −1.00320 | ||||||||
\(544\) | −4.22801e11 | + | 2.85728e11i | −0.206986 | + | 0.139881i | ||||
\(545\) | −1.61944e12 | −0.786285 | ||||||||
\(546\) | −1.07093e12 | − | 1.07093e12i | −0.515698 | − | 0.515698i | ||||
\(547\) | −2.97231e11 | − | 7.17578e11i | −0.141955 | − | 0.342710i | 0.836872 | − | 0.547398i | \(-0.184382\pi\) |
−0.978827 | + | 0.204689i | \(0.934382\pi\) | |||||||
\(548\) | − | 1.96844e11i | − | 0.0932417i | ||||||
\(549\) | −3.40928e12 | + | 1.41217e12i | −1.60172 | + | 0.663455i | ||||
\(550\) | 7.56564e11 | − | 1.82651e12i | 0.352544 | − | 0.851117i | ||||
\(551\) | −5.37680e11 | − | 2.22714e11i | −0.248509 | − | 0.102936i | ||||
\(552\) | −1.02694e12 | + | 1.02694e12i | −0.470783 | + | 0.470783i | ||||
\(553\) | −1.90175e11 | + | 1.90175e11i | −0.0864750 | + | 0.0864750i | ||||
\(554\) | 2.02568e12 | + | 8.39065e11i | 0.913645 | + | 0.378444i | ||||
\(555\) | 2.24464e12 | − | 5.41905e12i | 1.00422 | − | 2.42440i | ||||
\(556\) | 2.10978e11 | − | 8.73901e10i | 0.0936271 | − | 0.0387816i | ||||
\(557\) | − | 1.13490e12i | − | 0.499586i | −0.968299 | − | 0.249793i | \(-0.919637\pi\) | ||
0.968299 | − | 0.249793i | \(-0.0803626\pi\) | |||||||
\(558\) | −6.28693e11 | − | 1.51780e12i | −0.274527 | − | 0.662766i | ||||
\(559\) | 4.14507e12 | + | 4.14507e12i | 1.79547 | + | 1.79547i | ||||
\(560\) | −1.45273e12 | −0.624221 | ||||||||
\(561\) | −2.31623e11 | + | 1.19726e12i | −0.0987301 | + | 0.510334i | ||||
\(562\) | −3.81824e12 | −1.61455 | ||||||||
\(563\) | −4.84028e11 | − | 4.84028e11i | −0.203041 | − | 0.203041i | 0.598261 | − | 0.801301i | \(-0.295859\pi\) |
−0.801301 | + | 0.598261i | \(0.795859\pi\) | |||||||
\(564\) | 2.43198e11 | + | 5.87132e11i | 0.101205 | + | 0.244332i | ||||
\(565\) | − | 2.42607e12i | − | 1.00158i | ||||||
\(566\) | −1.09524e12 | + | 4.53663e11i | −0.448575 | + | 0.185806i | ||||
\(567\) | −3.12979e11 | + | 7.55598e11i | −0.127172 | + | 0.307020i | ||||
\(568\) | −1.32718e12 | − | 5.49737e11i | −0.535012 | − | 0.221609i | ||||
\(569\) | 3.02209e11 | − | 3.02209e11i | 0.120866 | − | 0.120866i | −0.644087 | − | 0.764952i | \(-0.722762\pi\) |
0.764952 | + | 0.644087i | \(0.222762\pi\) | |||||||
\(570\) | −1.15427e12 | + | 1.15427e12i | −0.458006 | + | 0.458006i | ||||
\(571\) | 3.09073e12 | + | 1.28022e12i | 1.21674 | + | 0.503991i | 0.896373 | − | 0.443301i | \(-0.146193\pi\) |
0.320370 | + | 0.947293i | \(0.396193\pi\) | |||||||
\(572\) | −7.42178e10 | + | 1.79178e11i | −0.0289885 | + | 0.0699845i | ||||
\(573\) | −5.14968e12 | + | 2.13307e12i | −1.99565 | + | 0.826625i | ||||
\(574\) | − | 4.63451e11i | − | 0.178197i | ||||||
\(575\) | 1.20262e12 | + | 2.90339e12i | 0.458801 | + | 1.10764i | ||||
\(576\) | 1.44830e12 | + | 1.44830e12i | 0.548222 | + | 0.548222i | ||||
\(577\) | 6.11445e10 | 0.0229650 | 0.0114825 | − | 0.999934i | \(-0.496345\pi\) | ||||
0.0114825 | + | 0.999934i | \(0.496345\pi\) | |||||||
\(578\) | −1.11701e12 | − | 2.61861e12i | −0.416276 | − | 0.975878i | ||||
\(579\) | 2.05233e11 | 0.0758914 | ||||||||
\(580\) | −4.89419e11 | − | 4.89419e11i | −0.179579 | − | 0.179579i | ||||
\(581\) | −3.08539e11 | − | 7.44879e11i | −0.112336 | − | 0.271202i | ||||
\(582\) | 1.31951e12i | 0.476716i | ||||||||
\(583\) | −2.61348e11 | + | 1.08254e11i | −0.0936936 | + | 0.0388092i | ||||
\(584\) | 1.80019e11 | − | 4.34604e11i | 0.0640413 | − | 0.154609i | ||||
\(585\) | 7.02335e12 | + | 2.90917e12i | 2.47938 | + | 1.02699i | ||||
\(586\) | −1.60656e12 | + | 1.60656e12i | −0.562804 | + | 0.562804i | ||||
\(587\) | 1.39780e12 | − | 1.39780e12i | 0.485928 | − | 0.485928i | −0.421090 | − | 0.907019i | \(-0.638352\pi\) |
0.907019 | + | 0.421090i | \(0.138352\pi\) | |||||||
\(588\) | 4.21407e11 | + | 1.74553e11i | 0.145380 | + | 0.0602183i | ||||
\(589\) | 1.99457e11 | − | 4.81531e11i | 0.0682857 | − | 0.164856i | ||||
\(590\) | 5.24543e12 | − | 2.17273e12i | 1.78216 | − | 0.738195i | ||||
\(591\) | 2.89337e11i | 0.0975573i | ||||||||
\(592\) | 1.32133e12 | + | 3.18996e12i | 0.442143 | + | 1.06743i | ||||
\(593\) | −1.83109e12 | − | 1.83109e12i | −0.608083 | − | 0.608083i | 0.334362 | − | 0.942445i | \(-0.391479\pi\) |
−0.942445 | + | 0.334362i | \(0.891479\pi\) | |||||||
\(594\) | 1.37644e11 | 0.0453646 | ||||||||
\(595\) | 3.26602e11 | − | 1.68820e12i | 0.106830 | − | 0.552202i | ||||
\(596\) | −2.49648e11 | −0.0810438 | ||||||||
\(597\) | −1.72478e12 | − | 1.72478e12i | −0.555711 | − | 0.555711i | ||||
\(598\) | −1.05709e12 | − | 2.55205e12i | −0.338032 | − | 0.816081i | ||||
\(599\) | 2.28277e12i | 0.724507i | 0.932080 | + | 0.362253i | \(0.117992\pi\) | ||||
−0.932080 | + | 0.362253i | \(0.882008\pi\) | |||||||
\(600\) | 8.71615e12 | − | 3.61035e12i | 2.74564 | − | 1.13728i | ||||
\(601\) | −1.21003e12 | + | 2.92128e12i | −0.378322 | + | 0.913350i | 0.613959 | + | 0.789338i | \(0.289576\pi\) |
−0.992281 | + | 0.124012i | \(0.960424\pi\) | |||||||
\(602\) | 1.54262e12 | + | 6.38973e11i | 0.478712 | + | 0.198289i | ||||
\(603\) | 6.83888e11 | − | 6.83888e11i | 0.210648 | − | 0.210648i | ||||
\(604\) | −3.76793e11 | + | 3.76793e11i | −0.115196 | + | 0.115196i | ||||
\(605\) | −4.76098e12 | − | 1.97206e12i | −1.44477 | − | 0.598442i | ||||
\(606\) | 3.94192e11 | − | 9.51664e11i | 0.118736 | − | 0.286653i | ||||
\(607\) | 2.36977e12 | − | 9.81592e11i | 0.708529 | − | 0.293482i | 0.000833082 | − | 1.00000i | \(-0.499735\pi\) |
0.707696 | + | 0.706517i | \(0.249735\pi\) | |||||||
\(608\) | − | 2.03870e11i | − | 0.0605046i | ||||||
\(609\) | 6.17335e11 | + | 1.49038e12i | 0.181862 | + | 0.439055i | ||||
\(610\) | −8.82166e12 | − | 8.82166e12i | −2.57968 | − | 2.57968i | ||||
\(611\) | 8.41312e12 | 2.44215 | ||||||||
\(612\) | 3.31504e11 | − | 2.24030e11i | 0.0955229 | − | 0.0645541i | ||||
\(613\) | −1.33870e12 | −0.382923 | −0.191461 | − | 0.981500i | \(-0.561323\pi\) | ||||
−0.191461 | + | 0.981500i | \(0.561323\pi\) | |||||||
\(614\) | 3.24301e12 | + | 3.24301e12i | 0.920852 | + | 0.920852i | ||||
\(615\) | 1.86022e12 | + | 4.49098e12i | 0.524357 | + | 1.26591i | ||||
\(616\) | − | 3.84495e11i | − | 0.107591i | ||||||
\(617\) | −3.64500e11 | + | 1.50981e11i | −0.101255 | + | 0.0419410i | −0.432736 | − | 0.901521i | \(-0.642452\pi\) |
0.331481 | + | 0.943462i | \(0.392452\pi\) | |||||||
\(618\) | 1.88055e11 | − | 4.54006e11i | 0.0518606 | − | 0.125203i | ||||
\(619\) | −3.96456e12 | − | 1.64217e12i | −1.08539 | − | 0.449584i | −0.232994 | − | 0.972478i | \(-0.574852\pi\) |
−0.852398 | + | 0.522894i | \(0.824852\pi\) | |||||||
\(620\) | 4.38310e11 | − | 4.38310e11i | 0.119129 | − | 0.119129i | ||||
\(621\) | −1.54712e11 | + | 1.54712e11i | −0.0417458 | + | 0.0417458i | ||||
\(622\) | 4.04422e12 | + | 1.67517e12i | 1.08337 | + | 0.448748i | ||||
\(623\) | −2.17203e11 | + | 5.24374e11i | −0.0577656 | + | 0.139459i | ||||
\(624\) | −8.63928e12 | + | 3.57851e12i | −2.28111 | + | 0.944868i | ||||
\(625\) | − | 7.77509e12i | − | 2.03819i | ||||||
\(626\) | −1.99205e12 | − | 4.80924e12i | −0.518461 | − | 1.25168i | ||||
\(627\) | −3.44496e11 | − | 3.44496e11i | −0.0890185 | − | 0.0890185i | ||||
\(628\) | 7.44330e11 | 0.190962 | ||||||||
\(629\) | −4.00409e12 | + | 8.18333e11i | −1.01994 | + | 0.208450i | ||||
\(630\) | 2.16534e12 | 0.547638 | ||||||||
\(631\) | 1.48801e12 | + | 1.48801e12i | 0.373657 | + | 0.373657i | 0.868807 | − | 0.495150i | \(-0.164887\pi\) |
−0.495150 | + | 0.868807i | \(0.664887\pi\) | |||||||
\(632\) | 5.63538e11 | + | 1.36050e12i | 0.140506 | + | 0.339212i | ||||
\(633\) | − | 5.89735e12i | − | 1.45996i | ||||||
\(634\) | 5.30751e12 | − | 2.19844e12i | 1.30464 | − | 0.540398i | ||||
\(635\) | −5.25771e12 | + | 1.26932e13i | −1.28326 | + | 3.09806i | ||||
\(636\) | 1.79183e11 | + | 7.42200e10i | 0.0434250 | + | 0.0179872i | ||||
\(637\) | 4.26981e12 | − | 4.26981e12i | 1.02750 | − | 1.02750i | ||||
\(638\) | 1.30881e12 | − | 1.30881e12i | 0.312741 | − | 0.312741i | ||||
\(639\) | 2.23070e12 | + | 9.23988e11i | 0.529283 | + | 0.219236i | ||||
\(640\) | −3.38851e12 | + | 8.18058e12i | −0.798359 | + | 1.92741i | ||||
\(641\) | −4.34585e12 | + | 1.80011e12i | −1.01675 | + | 0.421151i | −0.827912 | − | 0.560857i | \(-0.810472\pi\) |
−0.188836 | + | 0.982009i | \(0.560472\pi\) | |||||||
\(642\) | 2.31692e12i | 0.538275i | ||||||||
\(643\) | −1.14021e12 | − | 2.75270e12i | −0.263047 | − | 0.635053i | 0.736077 | − | 0.676898i | \(-0.236676\pi\) |
−0.999124 | + | 0.0418455i | \(0.986676\pi\) | |||||||
\(644\) | −6.20918e10 | − | 6.20918e10i | −0.0142249 | − | 0.0142249i | ||||
\(645\) | −1.75132e13 | −3.98424 | ||||||||
\(646\) | 1.11667e12 | + | 2.16034e11i | 0.252278 | + | 0.0488062i | ||||
\(647\) | −6.15794e11 | −0.138155 | −0.0690774 | − | 0.997611i | \(-0.522006\pi\) | ||||
−0.0690774 | + | 0.997611i | \(0.522006\pi\) | |||||||
\(648\) | 3.16647e12 | + | 3.16647e12i | 0.705484 | + | 0.705484i | ||||
\(649\) | 6.48457e11 | + | 1.56551e12i | 0.143476 | + | 0.346382i | ||||
\(650\) | 1.79441e13i | 3.94285i | ||||||||
\(651\) | −1.33474e12 | + | 5.52868e11i | −0.291261 | + | 0.120644i | ||||
\(652\) | −1.73913e11 | + | 4.19864e11i | −0.0376894 | + | 0.0909902i | ||||
\(653\) | 5.75127e12 | + | 2.38225e12i | 1.23781 | + | 0.512718i | 0.903030 | − | 0.429578i | \(-0.141338\pi\) |
0.334781 | + | 0.942296i | \(0.391338\pi\) | |||||||
\(654\) | −2.09954e12 | + | 2.09954e12i | −0.448770 | + | 0.448770i | ||||
\(655\) | 4.97537e12 | − | 4.97537e12i | 1.05618 | − | 1.05618i | ||||
\(656\) | −2.64365e12 | − | 1.09504e12i | −0.557361 | − | 0.230867i | ||||
\(657\) | −3.02572e11 | + | 7.30474e11i | −0.0633556 | + | 0.152954i | ||||
\(658\) | 2.21395e12 | − | 9.17050e11i | 0.460418 | − | 0.190711i | ||||
\(659\) | − | 5.49448e12i | − | 1.13486i | −0.823421 | − | 0.567430i | \(-0.807938\pi\) | ||
0.823421 | − | 0.567430i | \(-0.192062\pi\) | |||||||
\(660\) | −2.21731e11 | − | 5.35306e11i | −0.0454861 | − | 0.109813i | ||||
\(661\) | −1.62626e11 | − | 1.62626e11i | −0.0331347 | − | 0.0331347i | 0.690345 | − | 0.723480i | \(-0.257459\pi\) |
−0.723480 | + | 0.690345i | \(0.757459\pi\) | |||||||
\(662\) | −6.46976e12 | −1.30926 | ||||||||
\(663\) | −2.21626e12 | − | 1.08441e13i | −0.445462 | − | 2.17964i | ||||
\(664\) | −4.41454e12 | −0.881310 | ||||||||
\(665\) | 4.85759e11 | + | 4.85759e11i | 0.0963216 | + | 0.0963216i | ||||
\(666\) | −1.96948e12 | − | 4.75475e12i | −0.387898 | − | 0.936469i | ||||
\(667\) | 2.94223e12i | 0.575586i | ||||||||
\(668\) | 5.65416e11 | − | 2.34203e11i | 0.109869 | − | 0.0455091i | ||||
\(669\) | 2.03560e12 | − | 4.91438e12i | 0.392894 | − | 0.948530i | ||||
\(670\) | 3.02088e12 | + | 1.25129e12i | 0.579158 | + | 0.239895i | ||||
\(671\) | 2.63285e12 | − | 2.63285e12i | 0.501389 | − | 0.501389i | ||||
\(672\) | −3.99587e11 | + | 3.99587e11i | −0.0755875 | + | 0.0755875i | ||||
\(673\) | −8.96255e11 | − | 3.71241e11i | −0.168408 | − | 0.0697571i | 0.296886 | − | 0.954913i | \(-0.404052\pi\) |
−0.465295 | + | 0.885156i | \(0.654052\pi\) | |||||||
\(674\) | −1.73509e12 | + | 4.18888e12i | −0.323856 | + | 0.781858i | ||||
\(675\) | 1.31312e12 | − | 5.43910e11i | 0.243465 | − | 0.100846i | ||||
\(676\) | − | 1.07821e12i | − | 0.198584i | ||||||
\(677\) | 1.92855e12 | + | 4.65594e12i | 0.352844 | + | 0.851841i | 0.996267 | + | 0.0863297i | \(0.0275138\pi\) |
−0.643423 | + | 0.765511i | \(0.722486\pi\) | |||||||
\(678\) | −3.14530e12 | − | 3.14530e12i | −0.571648 | − | 0.571648i | ||||
\(679\) | 5.55298e11 | 0.100256 | ||||||||
\(680\) | −7.85559e12 | − | 5.18950e12i | −1.40893 | − | 0.930756i | ||||
\(681\) | 6.64201e12 | 1.18342 | ||||||||
\(682\) | 1.17214e12 | + | 1.17214e12i | 0.207467 | + | 0.207467i | ||||
\(683\) | −1.91926e12 | − | 4.63351e12i | −0.337475 | − | 0.814736i | −0.997957 | − | 0.0638943i | \(-0.979648\pi\) |
0.660482 | − | 0.750842i | \(-0.270352\pi\) | |||||||
\(684\) | 1.59848e11i | 0.0279225i | ||||||||
\(685\) | 7.19272e12 | − | 2.97932e12i | 1.24820 | − | 0.517023i | ||||
\(686\) | 1.38588e12 | − | 3.34581e12i | 0.238928 | − | 0.576823i | ||||
\(687\) | 6.14590e11 | + | 2.54571e11i | 0.105264 | + | 0.0436018i | ||||
\(688\) | 7.28975e12 | − | 7.28975e12i | 1.24041 | − | 1.24041i | ||||
\(689\) | 1.81553e12 | − | 1.81553e12i | 0.306914 | − | 0.306914i | ||||
\(690\) | 7.62442e12 | + | 3.15814e12i | 1.28052 | + | 0.530408i | ||||
\(691\) | 1.08155e12 | − | 2.61109e12i | 0.180466 | − | 0.435683i | −0.807597 | − | 0.589735i | \(-0.799232\pi\) |
0.988063 | + | 0.154052i | \(0.0492323\pi\) | |||||||
\(692\) | −8.01464e11 | + | 3.31977e11i | −0.132864 | + | 0.0550340i | ||||
\(693\) | 6.46252e11i | 0.106439i | ||||||||
\(694\) | 1.55830e12 | + | 3.76207e12i | 0.254996 | + | 0.615615i | ||||
\(695\) | 6.38649e12 | + | 6.38649e12i | 1.03832 | + | 1.03832i | ||||
\(696\) | 8.83275e12 | 1.42677 | ||||||||
\(697\) | 1.86688e12 | − | 2.82598e12i | 0.299618 | − | 0.453546i | ||||
\(698\) | 7.32369e12 | 1.16783 | ||||||||
\(699\) | −4.76448e12 | − | 4.76448e12i | −0.754863 | − | 0.754863i | ||||
\(700\) | 2.18291e11 | + | 5.27002e11i | 0.0343633 | + | 0.0829605i | ||||
\(701\) | 2.11841e12i | 0.331343i | 0.986181 | + | 0.165672i | \(0.0529792\pi\) | ||||
−0.986181 | + | 0.165672i | \(0.947021\pi\) | |||||||
\(702\) | −1.15421e12 | + | 4.78091e11i | −0.179378 | + | 0.0743008i | ||||
\(703\) | 6.24830e11 | − | 1.50847e12i | 0.0964857 | − | 0.232937i | ||||
\(704\) | −1.90934e12 | − | 7.90873e11i | −0.292958 | − | 0.121347i | ||||
\(705\) | −1.77730e13 | + | 1.77730e13i | −2.70962 | + | 2.70962i | ||||
\(706\) | −2.52534e11 | + | 2.52534e11i | −0.0382560 | + | 0.0382560i | ||||
\(707\) | −4.00495e11 | − | 1.65890e11i | −0.0602850 | − | 0.0249709i | ||||
\(708\) | 4.44590e11 | − | 1.07333e12i | 0.0664982 | − | 0.160541i | ||||
\(709\) | −9.99610e12 | + | 4.14052e12i | −1.48567 | + | 0.615385i | −0.970370 | − | 0.241624i | \(-0.922320\pi\) |
−0.515301 | + | 0.857009i | \(0.672320\pi\) | |||||||
\(710\) | 8.16291e12i | 1.20554i | ||||||||
\(711\) | −9.47184e11 | − | 2.28670e12i | −0.139002 | − | 0.335580i | ||||
\(712\) | 2.19748e12 | + | 2.19748e12i | 0.320454 | + | 0.320454i | ||||
\(713\) | −2.63498e12 | −0.381834 | ||||||||
\(714\) | −1.76526e12 | − | 2.61211e12i | −0.254195 | − | 0.376141i | ||||
\(715\) | −7.67050e12 | −1.09761 | ||||||||
\(716\) | 1.05586e12 | + | 1.05586e12i | 0.150141 | + | 0.150141i | ||||
\(717\) | 5.08615e12 | + | 1.22791e13i | 0.718709 | + | 1.73512i | ||||
\(718\) | 1.95387e12i | 0.274369i | ||||||||
\(719\) | −2.38348e12 | + | 9.87270e11i | −0.332607 | + | 0.137770i | −0.542736 | − | 0.839903i | \(-0.682612\pi\) |
0.210129 | + | 0.977674i | \(0.432612\pi\) | |||||||
\(720\) | 5.11623e12 | − | 1.23517e13i | 0.709502 | − | 1.71289i | ||||
\(721\) | −1.91062e11 | − | 7.91405e10i | −0.0263309 | − | 0.0109066i | ||||
\(722\) | 5.15640e12 | − | 5.15640e12i | 0.706203 | − | 0.706203i | ||||
\(723\) | 3.95086e12 | − | 3.95086e12i | 0.537736 | − | 0.537736i | ||||
\(724\) | −6.21592e11 | − | 2.57472e11i | −0.0840778 | − | 0.0348262i | ||||
\(725\) | 7.31415e12 | − | 1.76579e13i | 0.983203 | − | 2.37366i | ||||
\(726\) | −8.72913e12 | + | 3.61573e12i | −1.16616 | + | 0.483037i | ||||
\(727\) | 4.66836e11i | 0.0619811i | 0.999520 | + | 0.0309905i | \(0.00986618\pi\) | ||||
−0.999520 | + | 0.0309905i | \(0.990134\pi\) | |||||||
\(728\) | 1.33550e12 | + | 3.22419e12i | 0.176219 | + | 0.425431i | ||||
\(729\) | −4.47152e12 | − | 4.47152e12i | −0.586383 | − | 0.586383i | ||||
\(730\) | −2.67306e12 | −0.348381 | ||||||||
\(731\) | 6.83246e12 | + | 1.01102e13i | 0.885012 | + | 1.30958i | ||||
\(732\) | −2.55282e12 | −0.328639 | ||||||||
\(733\) | 6.13826e12 | + | 6.13826e12i | 0.785375 | + | 0.785375i | 0.980732 | − | 0.195357i | \(-0.0625865\pi\) |
−0.195357 | + | 0.980732i | \(0.562586\pi\) | |||||||
\(734\) | −2.53835e12 | − | 6.12811e12i | −0.322789 | − | 0.779281i | ||||
\(735\) | 1.80402e13i | 2.28007i | ||||||||
\(736\) | −9.52221e11 | + | 3.94423e11i | −0.119616 | + | 0.0495464i | ||||
\(737\) | −3.73451e11 | + | 9.01591e11i | −0.0466262 | + | 0.112566i | ||||
\(738\) | 3.94045e12 | + | 1.63219e12i | 0.488981 | + | 0.202543i | ||||
\(739\) | 9.65323e12 | − | 9.65323e12i | 1.19062 | − | 1.19062i | 0.213724 | − | 0.976894i | \(-0.431441\pi\) |
0.976894 | − | 0.213724i | \(-0.0685594\pi\) | |||||||
\(740\) | 1.37308e12 | − | 1.37308e12i | 0.168326 | − | 0.168326i | ||||
\(741\) | 4.08535e12 | + | 1.69221e12i | 0.497791 | + | 0.206192i | ||||
\(742\) | 2.79869e11 | − | 6.75662e11i | 0.0338951 | − | 0.0818299i | ||||
\(743\) | −5.00346e12 | + | 2.07250e12i | −0.602311 | + | 0.249485i | −0.662937 | − | 0.748675i | \(-0.730690\pi\) |
0.0606260 | + | 0.998161i | \(0.480690\pi\) | |||||||
\(744\) | 7.91036e12i | 0.946495i | ||||||||
\(745\) | −3.77853e12 | − | 9.12217e12i | −0.449386 | − | 1.08491i | ||||
\(746\) | −1.14678e12 | − | 1.14678e12i | −0.135568 | − | 0.135568i | ||||
\(747\) | 7.41987e12 | 0.871874 | ||||||||
\(748\) | −2.22524e11 | + | 3.36844e11i | −0.0259908 | + | 0.0393434i | ||||
\(749\) | 9.75045e11 | 0.113203 | ||||||||
\(750\) | −2.15209e13 | − | 2.15209e13i | −2.48362 | − | 2.48362i | ||||
\(751\) | −1.90012e12 | − | 4.58730e12i | −0.217973 | − | 0.526233i | 0.776634 | − | 0.629952i | \(-0.216926\pi\) |
−0.994607 | + | 0.103720i | \(0.966926\pi\) | |||||||
\(752\) | − | 1.47958e13i | − | 1.68717i | ||||||
\(753\) | 9.11984e12 | − | 3.77756e12i | 1.03374 | − | 0.428188i | ||||
\(754\) | −6.42905e12 | + | 1.55211e13i | −0.724396 | + | 1.74885i | ||||
\(755\) | −1.94710e13 | − | 8.06515e12i | −2.18086 | − | 0.903340i | ||||
\(756\) | −2.80822e10 | + | 2.80822e10i | −0.00312668 | + | 0.00312668i | ||||
\(757\) | −9.76640e12 | + | 9.76640e12i | −1.08094 | + | 1.08094i | −0.0845220 | + | 0.996422i | \(0.526936\pi\) |
−0.996422 | + | 0.0845220i | \(0.973064\pi\) | |||||||
\(758\) | −5.06869e11 | − | 2.09952e11i | −0.0557679 | − | 0.0230998i | ||||
\(759\) | −9.42556e11 | + | 2.27553e12i | −0.103091 | + | 0.248883i | ||||
\(760\) | 3.47509e12 | − | 1.43943e12i | 0.377837 | − | 0.156505i | ||||
\(761\) | − | 1.56510e13i | − | 1.69166i | −0.533455 | − | 0.845828i | \(-0.679107\pi\) | ||
0.533455 | − | 0.845828i | \(-0.320893\pi\) | |||||||
\(762\) | 9.63986e12 | + | 2.32727e13i | 1.03579 | + | 2.50063i | ||||
\(763\) | 8.83560e11 | + | 8.83560e11i | 0.0943791 | + | 0.0943791i | ||||
\(764\) | −1.84530e12 | −0.195951 | ||||||||
\(765\) | 1.32035e13 | + | 8.72242e12i | 1.39384 | + | 0.920790i | ||||
\(766\) | −1.29986e13 | −1.36417 | ||||||||
\(767\) | −1.08753e13 | − | 1.08753e13i | −1.13465 | − | 1.13465i | ||||
\(768\) | 1.89643e12 | + | 4.57839e12i | 0.196703 | + | 0.474884i | ||||
\(769\) | − | 4.07932e11i | − | 0.0420648i | −0.999779 | − | 0.0210324i | \(-0.993305\pi\) | ||
0.999779 | − | 0.0210324i | \(-0.00669531\pi\) | |||||||
\(770\) | −2.01853e12 | + | 8.36103e11i | −0.206932 | + | 0.0857139i | ||||
\(771\) | 3.30083e12 | − | 7.96892e12i | 0.336418 | − | 0.812185i | ||||
\(772\) | 6.27717e10 | + | 2.60009e10i | 0.00636042 | + | 0.00263457i | ||||
\(773\) | 1.59404e11 | − | 1.59404e11i | 0.0160580 | − | 0.0160580i | −0.699032 | − | 0.715090i | \(-0.746386\pi\) |
0.715090 | + | 0.699032i | \(0.246386\pi\) | |||||||
\(774\) | −1.08656e13 | + | 1.08656e13i | −1.08823 | + | 1.08823i | ||||
\(775\) | 1.58139e13 | + | 6.55035e12i | 1.57465 | + | 0.652239i | ||||
\(776\) | 1.16354e12 | − | 2.80903e12i | 0.115187 | − | 0.278086i | ||||
\(777\) | −4.18129e12 | + | 1.73195e12i | −0.411543 | + | 0.170467i | ||||
\(778\) | − | 5.85578e12i | − | 0.573029i | ||||||
\(779\) | 5.17822e11 | + | 1.25013e12i | 0.0503804 | + | 0.121629i | ||||
\(780\) | 3.71866e12 | + | 3.71866e12i | 0.359717 | + | 0.359717i | ||||
\(781\) | −2.43625e12 | −0.234310 | ||||||||
\(782\) | −1.15137e12 | − | 5.63362e12i | −0.110099 | − | 0.538713i | ||||
\(783\) | 1.33068e12 | 0.126516 | ||||||||
\(784\) | −7.50913e12 | − | 7.50913e12i | −0.709851 | − | 0.709851i | ||||
\(785\) | 1.12657e13 | + | 2.71979e13i | 1.05888 | + | 2.55636i | ||||
\(786\) | − | 1.29008e13i | − | 1.20563i | ||||||
\(787\) | −1.41629e13 | + | 5.86648e12i | −1.31603 | + | 0.545119i | −0.926639 | − | 0.375952i | \(-0.877316\pi\) |
−0.389395 | + | 0.921071i | \(0.627316\pi\) | |||||||
\(788\) | −3.66560e10 | + | 8.84955e10i | −0.00338671 | + | 0.00817623i | ||||
\(789\) | 7.99488e12 | + | 3.31159e12i | 0.734455 | + | 0.304221i | ||||
\(790\) | 5.91695e12 | − | 5.91695e12i | 0.540476 | − | 0.540476i | ||||
\(791\) | −1.32366e12 | + | 1.32366e12i | −0.120221 | + | 0.120221i | ||||
\(792\) | 3.26913e12 | + | 1.35412e12i | 0.295235 | + | 0.122290i | ||||
\(793\) | −1.29329e13 | + | 3.12228e13i | −1.16136 | + | 2.80377i | ||||
\(794\) | 1.49678e13 | − | 6.19988e12i | 1.33649 | − | 0.553593i | ||||
\(795\) | 7.67072e12i | 0.681058i | ||||||||
\(796\) | −3.09023e11 | − | 7.46047e11i | −0.0272824 | − | 0.0658654i | ||||
\(797\) | −4.04703e12 | − | 4.04703e12i | −0.355283 | − | 0.355283i | 0.506788 | − | 0.862071i | \(-0.330833\pi\) |
−0.862071 | + | 0.506788i | \(0.830833\pi\) | |||||||
\(798\) | 1.25954e12 | 0.109951 | ||||||||
\(799\) | 1.71940e13 | + | 3.32639e12i | 1.49251 | + | 0.288744i | ||||
\(800\) | 6.69530e12 | 0.577917 | ||||||||
\(801\) | −3.69349e12 | − | 3.69349e12i | −0.317023 | − | 0.317023i | ||||
\(802\) | −3.44843e12 | − | 8.32524e12i | −0.294331 | − | 0.710579i | ||||
\(803\) | − | 7.97781e11i | − | 0.0677117i | ||||||
\(804\) | 6.18141e11 | − | 2.56042e11i | 0.0521717 | − | 0.0216102i | ||||
\(805\) | 1.32906e12 | − | 3.20863e12i | 0.111548 | − | 0.269301i | ||||
\(806\) | −1.39003e13 | − | 5.75768e12i | −1.16015 | − | 0.480551i | ||||
\(807\) | 1.06559e13 | − | 1.06559e13i | 0.884420 | − | 0.884420i | ||||
\(808\) | −1.67834e12 | + | 1.67834e12i | −0.138526 | + | 0.138526i | ||||
\(809\) | 3.25988e12 | + | 1.35029e12i | 0.267568 | + | 0.110830i | 0.512434 | − | 0.858727i | \(-0.328744\pi\) |
−0.244866 | + | 0.969557i | \(0.578744\pi\) | |||||||
\(810\) | 9.73777e12 | − | 2.35090e13i | 0.794835 | − | 1.91890i | ||||
\(811\) | 1.40692e13 | − | 5.82764e12i | 1.14202 | − | 0.473041i | 0.270171 | − | 0.962812i | \(-0.412920\pi\) |
0.871851 | + | 0.489771i | \(0.162920\pi\) | |||||||
\(812\) | 5.34052e11i | 0.0431103i | ||||||||
\(813\) | −1.52221e12 | − | 3.67494e12i | −0.122199 | − | 0.295014i | ||||
\(814\) | 3.67190e12 | + | 3.67190e12i | 0.293144 | + | 0.293144i | ||||
\(815\) | −1.79742e13 | −1.42705 | ||||||||
\(816\) | −1.90711e13 | + | 3.89765e12i | −1.50581 | + | 0.307749i | ||||
\(817\) | −4.87505e12 | −0.382807 | ||||||||
\(818\) | 1.07245e13 | + | 1.07245e13i | 0.837505 | + | 0.837505i | ||||
\(819\) | −2.24469e12 | − | 5.41916e12i | −0.174333 | − | 0.420876i | ||||
\(820\) | 1.60927e12i | 0.124298i | ||||||||
\(821\) | −2.02236e13 | + | 8.37687e12i | −1.55351 | + | 0.643484i | −0.983946 | − | 0.178465i | \(-0.942887\pi\) |
−0.569562 | + | 0.821949i | \(0.692887\pi\) | |||||||
\(822\) | 5.46251e12 | − | 1.31877e13i | 0.417320 | − | 1.00750i | ||||
\(823\) | −1.30312e13 | − | 5.39771e12i | −0.990115 | − | 0.410119i | −0.171952 | − | 0.985105i | \(-0.555007\pi\) |
−0.818163 | + | 0.574986i | \(0.805007\pi\) | |||||||
\(824\) | −8.00679e11 | + | 8.00679e11i | −0.0605043 | + | 0.0605043i | ||||
\(825\) | 1.13136e13 | − | 1.13136e13i | 0.850271 | − | 0.850271i | ||||
\(826\) | −4.04733e12 | − | 1.67646e12i | −0.302523 | − | 0.125309i | ||||
\(827\) | 5.75737e11 | − | 1.38995e12i | 0.0428005 | − | 0.103330i | −0.901034 | − | 0.433749i | \(-0.857190\pi\) |
0.943834 | + | 0.330420i | \(0.107190\pi\) | |||||||
\(828\) | 7.46605e11 | − | 3.09254e11i | 0.0552019 | − | 0.0228654i | ||||
\(829\) | − | 1.36965e13i | − | 1.00720i | −0.863937 | − | 0.503600i | \(-0.832009\pi\) | ||
0.863937 | − | 0.503600i | \(-0.167991\pi\) | |||||||
\(830\) | 9.59963e12 | + | 2.31756e13i | 0.702107 | + | 1.69504i | ||||
\(831\) | 1.25473e13 | + | 1.25473e13i | 0.912736 | + | 0.912736i | ||||
\(832\) | 1.87578e13 | 1.35715 | ||||||||
\(833\) | 1.04145e13 | − | 7.03808e12i | 0.749438 | − | 0.506468i | ||||
\(834\) | 1.65597e13 | 1.18524 | ||||||||
\(835\) | 1.71156e13 | + | 1.71156e13i | 1.21844 | + | 1.21844i | ||||
\(836\) | −6.17222e10 | − | 1.49010e11i | −0.00437032 | − | 0.0105509i | ||||
\(837\) | 1.19172e12i | 0.0839286i | ||||||||
\(838\) | 1.29008e13 | − | 5.34370e12i | 0.903691 | − | 0.374321i | ||||
\(839\) | 4.96614e11 | − | 1.19893e12i | 0.0346011 | − | 0.0835344i | −0.905634 | − | 0.424059i | \(-0.860605\pi\) |
0.940235 | + | 0.340525i | \(0.110605\pi\) | |||||||
\(840\) | −9.63249e12 | − | 3.98991e12i | −0.667547 | − | 0.276507i | ||||
\(841\) | 2.39496e12 | − | 2.39496e12i | 0.165089 | − | 0.165089i | ||||
\(842\) | 6.34026e12 | − | 6.34026e12i | 0.434713 | − | 0.434713i | ||||
\(843\) | −2.85488e13 | − | 1.18253e13i | −1.94699 | − | 0.806470i | ||||
\(844\) | 7.47134e11 | − | 1.80374e12i | 0.0506824 | − | 0.122358i | ||||
\(845\) | 3.93980e13 | − | 1.63192e13i | 2.65839 | − | 1.10114i | ||||
\(846\) | 2.20536e13i | 1.48017i | ||||||||
\(847\) | 1.52163e12 | + | 3.67353e12i | 0.101586 | + | 0.245250i | ||||
\(848\) | −3.19289e12 | − | 3.19289e12i | −0.212033 | − | 0.212033i | ||||
\(849\) | −9.59407e12 | −0.633750 | ||||||||
\(850\) | −7.09475e12 | + | 3.66726e13i | −0.466178 | + | 2.40967i | ||||
\(851\) | −8.25450e12 | −0.539520 | ||||||||
\(852\) | 1.18109e12 | + | 1.18109e12i | 0.0767902 | + | 0.0767902i | ||||
\(853\) | −3.32298e12 | − | 8.02237e12i | −0.214910 | − | 0.518839i | 0.779255 | − | 0.626707i | \(-0.215598\pi\) |
−0.994165 | + | 0.107868i | \(0.965598\pi\) | |||||||
\(854\) | 9.62615e12i | 0.619288i | ||||||||
\(855\) | −5.84087e12 | + | 2.41937e12i | −0.373792 | + | 0.154830i | ||||
\(856\) | 2.04305e12 | − | 4.93236e12i | 0.130061 | − | 0.313995i | ||||
\(857\) | −1.17885e13 | − | 4.88296e12i | −0.746526 | − | 0.309221i | −0.0232028 | − | 0.999731i | \(-0.507386\pi\) |
−0.723323 | + | 0.690510i | \(0.757386\pi\) | |||||||
\(858\) | −9.94450e12 | + | 9.94450e12i | −0.626455 | + | 0.626455i | ||||
\(859\) | −1.81422e12 | + | 1.81422e12i | −0.113689 | + | 0.113689i | −0.761663 | − | 0.647974i | \(-0.775617\pi\) |
0.647974 | + | 0.761663i | \(0.275617\pi\) | |||||||
\(860\) | −5.35651e12 | − | 2.21874e12i | −0.333918 | − | 0.138313i | ||||
\(861\) | 1.43533e12 | − | 3.46520e12i | 0.0890099 | − | 0.214889i | ||||
\(862\) | −2.93028e13 | + | 1.21376e13i | −1.80770 | + | 0.748774i | ||||
\(863\) | 2.29743e13i | 1.40992i | 0.709247 | + | 0.704960i | \(0.249035\pi\) | ||||
−0.709247 | + | 0.704960i | \(0.750965\pi\) | |||||||
\(864\) | 1.78386e11 | + | 4.30661e11i | 0.0108905 | + | 0.0262920i | ||||
\(865\) | −2.42610e13 | − | 2.42610e13i | −1.47345 | − | 1.47345i | ||||
\(866\) | 1.09646e13 | 0.662461 | ||||||||
\(867\) | −2.41849e11 | − | 2.30386e13i | −0.0145364 | − | 1.38475i | ||||
\(868\) | −4.78282e11 | −0.0285986 | ||||||||
\(869\) | 1.76593e12 | + | 1.76593e12i | 0.105047 | + | 0.105047i | ||||
\(870\) | −1.92072e13 | − | 4.63704e13i | −1.13665 | − | 2.74413i | ||||
\(871\) | − | 8.85745e12i | − | 0.521467i | ||||||
\(872\) | 6.32094e12 | − | 2.61822e12i | 0.370218 | − | 0.153349i | ||||
\(873\) | −1.95565e12 | + | 4.72136e12i | −0.113954 | + | 0.275108i | ||||
\(874\) | 2.12237e12 | + | 8.79115e11i | 0.123033 | + | 0.0509618i | ||||
\(875\) | −9.05679e12 | + | 9.05679e12i | −0.522322 | + | 0.522322i | ||||
\(876\) | −3.86765e11 | + | 3.86765e11i | −0.0221911 | + | 0.0221911i | ||||
\(877\) | −2.50698e13 | − | 1.03843e13i | −1.43104 | − | 0.592758i | −0.473434 | − | 0.880829i | \(-0.656986\pi\) |
−0.957609 | + | 0.288071i | \(0.906986\pi\) | |||||||
\(878\) | −2.08694e12 | + | 5.03831e12i | −0.118518 | + | 0.286127i | ||||
\(879\) | −1.69877e13 | + | 7.03655e12i | −0.959811 | + | 0.397567i | ||||
\(880\) | 1.34898e13i | 0.758285i | ||||||||
\(881\) | −3.32650e12 | − | 8.03088e12i | −0.186036 | − | 0.449129i | 0.803154 | − | 0.595771i | \(-0.203154\pi\) |
−0.989190 | + | 0.146642i | \(0.953154\pi\) | |||||||
\(882\) | 1.11926e13 | + | 1.11926e13i | 0.622762 | + | 0.622762i | ||||
\(883\) | −1.44572e13 | −0.800318 | −0.400159 | − | 0.916446i | \(-0.631045\pi\) | ||||
−0.400159 | + | 0.916446i | \(0.631045\pi\) | |||||||
\(884\) | 6.95985e11 | − | 3.59753e12i | 0.0383323 | − | 0.198139i | ||||
\(885\) | 4.59488e13 | 2.51785 | ||||||||
\(886\) | 1.75503e13 | + | 1.75503e13i | 0.956825 | + | 0.956825i | ||||
\(887\) | 9.64058e12 | + | 2.32744e13i | 0.522934 | + | 1.26247i | 0.936073 | + | 0.351807i | \(0.114433\pi\) |
−0.413138 | + | 0.910668i | \(0.635567\pi\) | |||||||
\(888\) | 2.47805e13i | 1.33737i | ||||||||
\(889\) | 9.79398e12 | − | 4.05680e12i | 0.525898 | − | 0.217834i | ||||
\(890\) | 6.75787e12 | − | 1.63150e13i | 0.361040 | − | 0.871627i | ||||
\(891\) | 7.01635e12 | + | 2.90627e12i | 0.372959 | + | 0.154485i | ||||
\(892\) | 1.24520e12 | − | 1.24520e12i | 0.0658565 | − | 0.0658565i | ||||
\(893\) | −4.94738e12 | + | 4.94738e12i | −0.260341 | + | 0.260341i | ||||
\(894\) | −1.67253e13 | − | 6.92783e12i | −0.875697 | − | 0.362726i | ||||
\(895\) | −2.26005e13 | + | 5.45624e13i | −1.17737 | + | 2.84243i | ||||
\(896\) | 6.31206e12 | − | 2.61454e12i | 0.327179 | − | 0.135522i | ||||
\(897\) | − | 2.23554e13i | − | 1.15296i | ||||||
\(898\) | −9.76564e12 | − | 2.35763e13i | −0.501138 | − | 1.20985i | ||||
\(899\) | 1.13317e13 | + | 1.13317e13i | 0.578599 | + | 0.578599i | ||||
\(900\) | −5.24956e12 | −0.266705 | ||||||||
\(901\) | 4.42825e12 | − | 2.99260e12i | 0.223857 | − | 0.151282i | ||||
\(902\) | −4.30353e12 | −0.216469 | ||||||||
\(903\) | 9.55513e12 | + | 9.55513e12i | 0.478236 | + | 0.478236i | ||||
\(904\) | 3.92233e12 | + | 9.46935e12i | 0.195338 | + | 0.471587i | ||||
\(905\) | − | 2.66100e13i | − | 1.31864i | ||||||
\(906\) | −3.56995e13 | + | 1.47872e13i | −1.76030 | + | 0.729139i | ||||
\(907\) | −1.16805e13 | + | 2.81993e13i | −0.573099 | + | 1.38358i | 0.325804 | + | 0.945437i | \(0.394365\pi\) |
−0.898903 | + | 0.438147i | \(0.855635\pi\) | |||||||
\(908\) | 2.03150e12 | + | 8.41476e11i | 0.0991816 | + | 0.0410823i | ||||
\(909\) | 2.82093e12 | − | 2.82093e12i | 0.137042 | − | 0.137042i | ||||
\(910\) | 1.40223e13 | − | 1.40223e13i | 0.677850 | − | 0.677850i | ||||
\(911\) | 3.29672e13 | + | 1.36555e13i | 1.58580 | + | 0.656862i | 0.989320 | − | 0.145763i | \(-0.0465637\pi\) |
0.596485 | + | 0.802625i | \(0.296564\pi\) | |||||||
\(912\) | 2.97601e12 | − | 7.18473e12i | 0.142449 | − | 0.343901i | ||||
\(913\) | −6.91681e12 | + | 2.86504e12i | −0.329449 | + | 0.136462i | ||||
\(914\) | − | 1.98399e12i | − | 0.0940331i | ||||||
\(915\) | −3.86380e13 | − | 9.32803e13i | −1.82230 | − | 4.39941i | ||||
\(916\) | 1.55725e11 | + | 1.55725e11i | 0.00730849 | + | 0.00730849i | ||||
\(917\) | −5.42910e12 | −0.253551 | ||||||||
\(918\) | −2.54791e12 | + | 5.20728e11i | −0.118411 | + | 0.0242002i | ||||
\(919\) | −2.57192e13 | −1.18943 | −0.594713 | − | 0.803938i | \(-0.702734\pi\) | ||||
−0.594713 | + | 0.803938i | \(0.702734\pi\) | |||||||
\(920\) | −1.34463e13 | − | 1.34463e13i | −0.618812 | − | 0.618812i | ||||
\(921\) | 1.42040e13 | + | 3.42915e13i | 0.650493 | + | 1.57043i | ||||
\(922\) | − | 4.58470e12i | − | 0.208940i | ||||||
\(923\) | 2.04292e13 | − | 8.46205e12i | 0.926496 | − | 0.383767i | ||||
\(924\) | −1.71086e11 | + | 4.13037e11i | −0.00772129 | + | 0.0186408i | ||||
\(925\) | 4.95397e13 | + | 2.05200e13i | 2.22493 | + | 0.921595i | ||||
\(926\) | −1.55505e13 | + | 1.55505e13i | −0.695014 | + | 0.695014i | ||||
\(927\) | 1.34577e12 | − | 1.34577e12i | 0.0598565 | − | 0.0598565i | ||||
\(928\) | 5.79125e12 | + | 2.39881e12i | 0.256334 | + | 0.106177i | ||||
\(929\) | −1.59153e12 | + | 3.84228e12i | −0.0701040 | + | 0.169246i | −0.955048 | − | 0.296452i | \(-0.904197\pi\) |
0.884944 | + | 0.465698i | \(0.154197\pi\) | |||||||
\(930\) | 4.15280e13 | − | 1.72015e13i | 1.82041 | − | 0.754037i | ||||
\(931\) | 5.02176e12i | 0.219070i | ||||||||
\(932\) | −8.53635e11 | − | 2.06086e12i | −0.0370596 | − | 0.0894698i | ||||
\(933\) | 2.50503e13 | + | 2.50503e13i | 1.08230 | + | 1.08230i | ||||
\(934\) | 4.20808e13 | 1.80935 | ||||||||
\(935\) | −1.56763e13 | − | 3.03277e12i | −0.670799 | − | 0.129774i | ||||
\(936\) | −3.21167e13 | −1.36770 | ||||||||
\(937\) | −6.59837e12 | − | 6.59837e12i | −0.279646 | − | 0.279646i | 0.553322 | − | 0.832968i | \(-0.313360\pi\) |
−0.832968 | + | 0.553322i | \(0.813360\pi\) | |||||||
\(938\) | −9.65484e11 | − | 2.33088e12i | −0.0407223 | − | 0.0983123i | ||||
\(939\) | − | 4.21279e13i | − | 1.76838i | ||||||
\(940\) | −7.68764e12 | + | 3.18432e12i | −0.321157 | + | 0.133028i | ||||
\(941\) | 8.61145e12 | − | 2.07899e13i | 0.358033 | − | 0.864368i | −0.637544 | − | 0.770414i | \(-0.720050\pi\) |
0.995577 | − | 0.0939535i | \(-0.0299505\pi\) | |||||||
\(942\) | 4.98666e13 | + | 2.06554e13i | 2.06339 | + | 0.854683i | ||||
\(943\) | 4.83720e12 | − | 4.83720e12i | 0.199201 | − | 0.199201i | ||||
\(944\) | −1.91259e13 | + | 1.91259e13i | −0.783878 | + | 0.783878i | ||||
\(945\) | −1.45117e12 | − | 6.01092e11i | −0.0591935 | − | 0.0245187i | ||||
\(946\) | 5.93339e12 | − | 1.43245e13i | 0.240876 | − | 0.581525i | ||||
\(947\) | −6.68319e11 | + | 2.76827e11i | −0.0270028 | + | 0.0111849i | −0.396144 | − | 0.918188i | \(-0.629652\pi\) |
0.369141 | + | 0.929373i | \(0.379652\pi\) | |||||||
\(948\) | − | 1.71225e12i | − | 0.0688540i | ||||||
\(949\) | 2.77101e12 | + | 6.68981e12i | 0.110902 | + | 0.267742i | ||||
\(950\) | −1.05521e13 | − | 1.05521e13i | −0.420322 | − | 0.420322i | ||||
\(951\) | 4.64927e13 | 1.84320 | ||||||||
\(952\) | 1.45461e12 | + | 7.11737e12i | 0.0573957 | + | 0.280836i | ||||
\(953\) | 4.77982e13 | 1.87713 | 0.938563 | − | 0.345107i | \(-0.112157\pi\) | ||||
0.938563 | + | 0.345107i | \(0.112157\pi\) | |||||||
\(954\) | 4.75911e12 | + | 4.75911e12i | 0.186019 | + | 0.186019i | ||||
\(955\) | −2.79294e13 | − | 6.74275e13i | −1.08654 | − | 2.62314i | ||||
\(956\) | 4.39999e12i | 0.170369i | ||||||||
\(957\) | 1.38394e13 | − | 5.73246e12i | 0.533351 | − | 0.220921i | ||||
\(958\) | 7.39727e12 | − | 1.78586e13i | 0.283744 | − | 0.685018i | ||||
\(959\) | −5.54984e12 | − | 2.29882e12i | −0.211883 | − | 0.0877649i | ||||
\(960\) | −3.96264e13 | + | 3.96264e13i | −1.50579 | + | 1.50579i | ||||
\(961\) | 8.54725e12 | − | 8.54725e12i | 0.323274 | − | 0.323274i | ||||
\(962\) | −4.35448e13 | − | 1.80369e13i | −1.63926 | − | 0.679005i | ||||
\(963\) | −3.43392e12 | + | 8.29022e12i | −0.128668 | + | 0.310633i | ||||
\(964\) | 1.70893e12 | − | 7.07862e11i | 0.0637349 | − | 0.0263999i | ||||
\(965\) | 2.68722e12i | 0.0997541i | ||||||||
\(966\) | −2.43679e12 | − | 5.88293e12i | −0.0900370 | − | 0.217369i | ||||
\(967\) | −2.22750e13 | − | 2.22750e13i | −0.819215 | − | 0.819215i | 0.166780 | − | 0.985994i | \(-0.446663\pi\) |
−0.985994 | + | 0.166780i | \(0.946663\pi\) | |||||||
\(968\) | 2.17712e13 | 0.796974 | ||||||||
\(969\) | 7.68024e12 | + | 5.07367e12i | 0.279845 | + | 0.184869i | ||||
\(970\) | −1.72771e13 | −0.626611 | ||||||||
\(971\) | −4.72069e12 | − | 4.72069e12i | −0.170419 | − | 0.170419i | 0.616744 | − | 0.787164i | \(-0.288451\pi\) |
−0.787164 | + | 0.616744i | \(0.788451\pi\) | |||||||
\(972\) | −1.84017e12 | − | 4.44255e12i | −0.0661240 | − | 0.159637i | ||||
\(973\) | − | 6.96891e12i | − | 0.249263i | ||||||
\(974\) | 4.48935e12 | − | 1.85955e12i | 0.159833 | − | 0.0662052i | ||||
\(975\) | −5.55737e13 | + | 1.34167e14i | −1.96947 | + | 4.75471i | ||||
\(976\) | 5.49102e13 | + | 2.27445e13i | 1.93700 | + | 0.802330i | ||||
\(977\) | −2.93564e13 | + | 2.93564e13i | −1.03081 | + | 1.03081i | −0.0312976 | + | 0.999510i | \(0.509964\pi\) |
−0.999510 | + | 0.0312976i | \(0.990036\pi\) | |||||||
\(978\) | −2.33028e13 | + | 2.33028e13i | −0.814485 | + | 0.814485i | ||||
\(979\) | 4.86925e12 | + | 2.01691e12i | 0.169410 | + | 0.0701720i | ||||
\(980\) | −2.28551e12 | + | 5.51771e12i | −0.0791528 | + | 0.191092i | ||||
\(981\) | −1.06241e13 | + | 4.40065e12i | −0.366254 | + | 0.151707i | ||||
\(982\) | − | 3.36971e13i | − | 1.15635i | ||||||
\(983\) | −3.45794e12 | − | 8.34822e12i | −0.118121 | − | 0.285169i | 0.853750 | − | 0.520683i | \(-0.174323\pi\) |
−0.971871 | + | 0.235514i | \(0.924323\pi\) | |||||||
\(984\) | −1.45215e13 | − | 1.45215e13i | −0.493782 | − | 0.493782i | ||||
\(985\) | −3.78844e12 | −0.128232 | ||||||||
\(986\) | −1.92759e13 | + | 2.91788e13i | −0.649485 | + | 0.983155i | ||||
\(987\) | 1.93938e13 | 0.650482 | ||||||||
\(988\) | 1.03515e12 | + | 1.03515e12i | 0.0345617 | + | 0.0345617i | ||||
\(989\) | 9.43164e12 | + | 2.27700e13i | 0.313476 | + | 0.756797i | ||||
\(990\) | − | 2.01069e13i | − | 0.665254i | ||||||
\(991\) | −2.95008e13 | + | 1.22196e13i | −0.971634 | + | 0.402464i | −0.811320 | − | 0.584602i | \(-0.801251\pi\) |
−0.160314 | + | 0.987066i | \(0.551251\pi\) | |||||||
\(992\) | −2.14831e12 | + | 5.18648e12i | −0.0704359 | + | 0.170047i | ||||
\(993\) | −4.83741e13 | − | 2.00372e13i | −1.57885 | − | 0.653981i | ||||
\(994\) | 4.45366e12 | − | 4.45366e12i | 0.144703 | − | 0.144703i | ||||
\(995\) | 2.25835e13 | − | 2.25835e13i | 0.730444 | − | 0.730444i | ||||
\(996\) | 4.74225e12 | + | 1.96430e12i | 0.152692 | + | 0.0632472i | ||||
\(997\) | 1.19300e13 | − | 2.88016e13i | 0.382396 | − | 0.923185i | −0.609106 | − | 0.793089i | \(-0.708471\pi\) |
0.991501 | − | 0.130096i | \(-0.0415285\pi\) | |||||||
\(998\) | −2.98824e13 | + | 1.23777e13i | −0.953517 | + | 0.394960i | ||||
\(999\) | 3.73326e12i | 0.118589i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 17.10.d.a.15.10 | yes | 52 | |
17.5 | odd | 16 | 289.10.a.i.1.15 | 52 | |||
17.8 | even | 8 | inner | 17.10.d.a.8.10 | ✓ | 52 | |
17.12 | odd | 16 | 289.10.a.i.1.16 | 52 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
17.10.d.a.8.10 | ✓ | 52 | 17.8 | even | 8 | inner | |
17.10.d.a.15.10 | yes | 52 | 1.1 | even | 1 | trivial | |
289.10.a.i.1.15 | 52 | 17.5 | odd | 16 | |||
289.10.a.i.1.16 | 52 | 17.12 | odd | 16 |