Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,12,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(9.22011816672\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 247 x^{18} - 23916 x^{16} + 14713536 x^{14} - 45723119616 x^{12} + 40864324780032 x^{10} + \cdots + 12\!\cdots\!24 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{104}\cdot 3^{42}\cdot 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Root | \(-22.4409 + 2.89952i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.12.b.a.11.1 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −44.8817 | + | 5.79904i | −0.991756 | + | 0.128142i | ||||
\(3\) | −353.249 | + | 228.828i | −0.839293 | + | 0.543680i | ||||
\(4\) | 1980.74 | − | 520.542i | 0.967159 | − | 0.254171i | ||||
\(5\) | 12652.7i | 1.81071i | 0.424654 | + | 0.905356i | \(0.360396\pi\) | ||||
−0.424654 | + | 0.905356i | \(0.639604\pi\) | |||||||
\(6\) | 14527.4 | − | 12318.7i | 0.762705 | − | 0.646746i | ||||
\(7\) | 32182.6i | 0.723739i | 0.932229 | + | 0.361870i | \(0.117861\pi\) | ||||
−0.932229 | + | 0.361870i | \(0.882139\pi\) | |||||||
\(8\) | −85880.5 | + | 34849.2i | −0.926616 | + | 0.376009i | ||||
\(9\) | 72422.0 | − | 161667.i | 0.408825 | − | 0.912613i | ||||
\(10\) | −73373.6 | − | 567877.i | −0.232028 | − | 1.79578i | ||||
\(11\) | −250656. | −0.469265 | −0.234632 | − | 0.972084i | \(-0.575389\pi\) | ||||
−0.234632 | + | 0.972084i | \(0.575389\pi\) | |||||||
\(12\) | −580580. | + | 637131.i | −0.673542 | + | 0.739149i | ||||
\(13\) | −976876. | −0.729711 | −0.364856 | − | 0.931064i | \(-0.618882\pi\) | ||||
−0.364856 | + | 0.931064i | \(0.618882\pi\) | |||||||
\(14\) | −186628. | − | 1.44441e6i | −0.0927412 | − | 0.717772i | ||||
\(15\) | −2.89530e6 | − | 4.46956e6i | −0.984447 | − | 1.51972i | ||||
\(16\) | 3.65238e6 | − | 2.06212e6i | 0.870794 | − | 0.491647i | ||||
\(17\) | − | 2.81662e6i | − | 0.481127i | −0.970633 | − | 0.240563i | \(-0.922668\pi\) | ||
0.970633 | − | 0.240563i | \(-0.0773322\pi\) | |||||||
\(18\) | −2.31292e6 | + | 7.67586e6i | −0.288510 | + | 0.957477i | ||||
\(19\) | 6.17831e6i | 0.572434i | 0.958165 | + | 0.286217i | \(0.0923977\pi\) | ||||
−0.958165 | + | 0.286217i | \(0.907602\pi\) | |||||||
\(20\) | 6.58627e6 | + | 2.50618e7i | 0.460230 | + | 1.75125i | ||||
\(21\) | −7.36430e6 | − | 1.13685e7i | −0.393482 | − | 0.607429i | ||||
\(22\) | 1.12499e7 | − | 1.45356e6i | 0.465396 | − | 0.0601324i | ||||
\(23\) | 3.69826e7 | 1.19810 | 0.599052 | − | 0.800710i | \(-0.295544\pi\) | ||||
0.599052 | + | 0.800710i | \(0.295544\pi\) | |||||||
\(24\) | 2.23627e7 | − | 3.19623e7i | 0.573274 | − | 0.819364i | ||||
\(25\) | −1.11263e8 | −2.27867 | ||||||||
\(26\) | 4.38439e7 | − | 5.66494e6i | 0.723696 | − | 0.0935065i | ||||
\(27\) | 1.14110e7 | + | 7.36807e7i | 0.153046 | + | 0.988219i | ||||
\(28\) | 1.67524e7 | + | 6.37455e7i | 0.183953 | + | 0.699971i | ||||
\(29\) | − | 9.70893e7i | − | 0.878987i | −0.898246 | − | 0.439494i | \(-0.855158\pi\) | ||
0.898246 | − | 0.439494i | \(-0.144842\pi\) | |||||||
\(30\) | 1.55865e8 | + | 1.83812e8i | 1.17107 | + | 1.38104i | ||||
\(31\) | − | 2.18413e8i | − | 1.37022i | −0.728442 | − | 0.685108i | \(-0.759755\pi\) | ||
0.728442 | − | 0.685108i | \(-0.240245\pi\) | |||||||
\(32\) | −1.51967e8 | + | 1.13732e8i | −0.800615 | + | 0.599179i | ||||
\(33\) | 8.85438e7 | − | 5.73572e7i | 0.393851 | − | 0.255130i | ||||
\(34\) | 1.63337e7 | + | 1.26415e8i | 0.0616525 | + | 0.477160i | ||||
\(35\) | −4.07198e8 | −1.31048 | ||||||||
\(36\) | 5.92952e7 | − | 3.57919e8i | 0.163439 | − | 0.986553i | ||||
\(37\) | −4.00660e8 | −0.949876 | −0.474938 | − | 0.880019i | \(-0.657530\pi\) | ||||
−0.474938 | + | 0.880019i | \(0.657530\pi\) | |||||||
\(38\) | −3.58283e7 | − | 2.77293e8i | −0.0733527 | − | 0.567714i | ||||
\(39\) | 3.45080e8 | − | 2.23537e8i | 0.612441 | − | 0.396729i | ||||
\(40\) | −4.40938e8 | − | 1.08662e9i | −0.680843 | − | 1.67783i | ||||
\(41\) | 3.38841e7i | 0.0456756i | 0.999739 | + | 0.0228378i | \(0.00727013\pi\) | ||||
−0.999739 | + | 0.0228378i | \(0.992730\pi\) | |||||||
\(42\) | 3.96449e8 | + | 4.67530e8i | 0.468075 | + | 0.552000i | ||||
\(43\) | 9.95581e8i | 1.03276i | 0.856359 | + | 0.516381i | \(0.172721\pi\) | ||||
−0.856359 | + | 0.516381i | \(0.827279\pi\) | |||||||
\(44\) | −4.96485e8 | + | 1.30477e8i | −0.453854 | + | 0.119273i | ||||
\(45\) | 2.04552e9 | + | 9.16336e8i | 1.65248 | + | 0.740263i | ||||
\(46\) | −1.65984e9 | + | 2.14464e8i | −1.18823 | + | 0.153527i | ||||
\(47\) | 4.43757e8 | 0.282233 | 0.141116 | − | 0.989993i | \(-0.454931\pi\) | ||||
0.141116 | + | 0.989993i | \(0.454931\pi\) | |||||||
\(48\) | −8.18325e8 | + | 1.56421e9i | −0.463553 | + | 0.886069i | ||||
\(49\) | 9.41607e8 | 0.476202 | ||||||||
\(50\) | 4.99370e9 | − | 6.45221e8i | 2.25989 | − | 0.291993i | ||||
\(51\) | 6.44524e8 | + | 9.94968e8i | 0.261579 | + | 0.403806i | ||||
\(52\) | −1.93494e9 | + | 5.08505e8i | −0.705747 | + | 0.185471i | ||||
\(53\) | 3.45255e9i | 1.13403i | 0.823709 | + | 0.567013i | \(0.191901\pi\) | ||||
−0.823709 | + | 0.567013i | \(0.808099\pi\) | |||||||
\(54\) | −9.39421e8 | − | 3.24075e9i | −0.278416 | − | 0.960461i | ||||
\(55\) | − | 3.17148e9i | − | 0.849703i | ||||||
\(56\) | −1.12154e9 | − | 2.76386e9i | −0.272132 | − | 0.670628i | ||||
\(57\) | −1.41377e9 | − | 2.18248e9i | −0.311221 | − | 0.480439i | ||||
\(58\) | 5.63025e8 | + | 4.35754e9i | 0.112635 | + | 0.871741i | ||||
\(59\) | −5.47057e9 | −0.996200 | −0.498100 | − | 0.867120i | \(-0.665969\pi\) | ||||
−0.498100 | + | 0.867120i | \(0.665969\pi\) | |||||||
\(60\) | −8.06144e9 | − | 7.34592e9i | −1.33838 | − | 1.21959i | ||||
\(61\) | 2.88673e9 | 0.437615 | 0.218808 | − | 0.975768i | \(-0.429783\pi\) | ||||
0.218808 | + | 0.975768i | \(0.429783\pi\) | |||||||
\(62\) | 1.26658e9 | + | 9.80275e9i | 0.175582 | + | 1.35892i | ||||
\(63\) | 5.20285e9 | + | 2.33073e9i | 0.660494 | + | 0.295882i | ||||
\(64\) | 6.16100e9 | − | 5.98574e9i | 0.717235 | − | 0.696832i | ||||
\(65\) | − | 1.23601e10i | − | 1.32130i | ||||||
\(66\) | −3.64138e9 | + | 3.08776e9i | −0.357911 | + | 0.303495i | ||||
\(67\) | 1.87169e9i | 0.169364i | 0.996408 | + | 0.0846822i | \(0.0269875\pi\) | ||||
−0.996408 | + | 0.0846822i | \(0.973013\pi\) | |||||||
\(68\) | −1.46617e9 | − | 5.57901e9i | −0.122288 | − | 0.465326i | ||||
\(69\) | −1.30641e10 | + | 8.46268e9i | −1.00556 | + | 0.651385i | ||||
\(70\) | 1.82757e10 | − | 2.36135e9i | 1.29968 | − | 0.167928i | ||||
\(71\) | −2.17623e10 | −1.43147 | −0.715737 | − | 0.698370i | \(-0.753909\pi\) | ||||
−0.715737 | + | 0.698370i | \(0.753909\pi\) | |||||||
\(72\) | −5.85687e8 | + | 1.64079e10i | −0.0356728 | + | 0.999364i | ||||
\(73\) | −1.38840e10 | −0.783859 | −0.391929 | − | 0.919995i | \(-0.628192\pi\) | ||||
−0.391929 | + | 0.919995i | \(0.628192\pi\) | |||||||
\(74\) | 1.79823e10 | − | 2.32344e9i | 0.942045 | − | 0.121719i | ||||
\(75\) | 3.93036e10 | − | 2.54602e10i | 1.91248 | − | 1.23887i | ||||
\(76\) | 3.21607e9 | + | 1.22376e10i | 0.145496 | + | 0.553634i | ||||
\(77\) | − | 8.06676e9i | − | 0.339625i | ||||||
\(78\) | −1.41915e10 | + | 1.20339e10i | −0.556555 | + | 0.471938i | ||||
\(79\) | 2.31856e10i | 0.847752i | 0.905720 | + | 0.423876i | \(0.139331\pi\) | ||||
−0.905720 | + | 0.423876i | \(0.860669\pi\) | |||||||
\(80\) | 2.60914e10 | + | 4.62125e10i | 0.890231 | + | 1.57676i | ||||
\(81\) | −2.08912e10 | − | 2.34165e10i | −0.665725 | − | 0.746197i | ||||
\(82\) | −1.96495e8 | − | 1.52078e9i | −0.00585295 | − | 0.0452990i | ||||
\(83\) | −1.51750e10 | −0.422863 | −0.211432 | − | 0.977393i | \(-0.567813\pi\) | ||||
−0.211432 | + | 0.977393i | \(0.567813\pi\) | |||||||
\(84\) | −2.05045e10 | − | 1.86846e10i | −0.534951 | − | 0.487469i | ||||
\(85\) | 3.56380e10 | 0.871182 | ||||||||
\(86\) | −5.77341e9 | − | 4.46834e10i | −0.132340 | − | 1.02425i | ||||
\(87\) | 2.22168e10 | + | 3.42967e10i | 0.477888 | + | 0.737728i | ||||
\(88\) | 2.15265e10 | − | 8.73516e9i | 0.434828 | − | 0.176448i | ||||
\(89\) | 3.51186e10i | 0.666642i | 0.942813 | + | 0.333321i | \(0.108169\pi\) | ||||
−0.942813 | + | 0.333321i | \(0.891831\pi\) | |||||||
\(90\) | −9.71206e10 | − | 2.92647e10i | −1.73371 | − | 0.522409i | ||||
\(91\) | − | 3.14384e10i | − | 0.528121i | ||||||
\(92\) | 7.32530e10 | − | 1.92510e10i | 1.15876 | − | 0.304523i | ||||
\(93\) | 4.99791e10 | + | 7.71540e10i | 0.744959 | + | 1.15001i | ||||
\(94\) | −1.99166e10 | + | 2.57336e9i | −0.279906 | + | 0.0361658i | ||||
\(95\) | −7.81725e10 | −1.03651 | ||||||||
\(96\) | 2.76570e10 | − | 7.49499e10i | 0.346189 | − | 0.938165i | ||||
\(97\) | 3.62332e10 | 0.428413 | 0.214206 | − | 0.976788i | \(-0.431283\pi\) | ||||
0.214206 | + | 0.976788i | \(0.431283\pi\) | |||||||
\(98\) | −4.22609e10 | + | 5.46041e9i | −0.472276 | + | 0.0610214i | ||||
\(99\) | −1.81530e10 | + | 4.05227e10i | −0.191847 | + | 0.428257i | ||||
\(100\) | −2.20384e11 | + | 5.79172e10i | −2.20384 | + | 0.579172i | ||||
\(101\) | − | 3.76323e10i | − | 0.356281i | −0.984005 | − | 0.178141i | \(-0.942992\pi\) | ||
0.984005 | − | 0.178141i | \(-0.0570082\pi\) | |||||||
\(102\) | −3.46972e10 | − | 4.09183e10i | −0.311167 | − | 0.366958i | ||||
\(103\) | − | 1.32326e11i | − | 1.12471i | −0.826897 | − | 0.562353i | \(-0.809896\pi\) | ||
0.826897 | − | 0.562353i | \(-0.190104\pi\) | |||||||
\(104\) | 8.38947e10 | − | 3.40434e10i | 0.676162 | − | 0.274378i | ||||
\(105\) | 1.43842e11 | − | 9.31785e10i | 1.09988 | − | 0.712483i | ||||
\(106\) | −2.00215e10 | − | 1.54957e11i | −0.145316 | − | 1.12468i | ||||
\(107\) | −2.01786e9 | −0.0139085 | −0.00695426 | − | 0.999976i | \(-0.502214\pi\) | ||||
−0.00695426 | + | 0.999976i | \(0.502214\pi\) | |||||||
\(108\) | 6.09561e10 | + | 1.40003e11i | 0.399196 | + | 0.916866i | ||||
\(109\) | −1.27441e11 | −0.793346 | −0.396673 | − | 0.917960i | \(-0.629835\pi\) | ||||
−0.396673 | + | 0.917960i | \(0.629835\pi\) | |||||||
\(110\) | 1.83915e10 | + | 1.42342e11i | 0.108882 | + | 0.842698i | ||||
\(111\) | 1.41533e11 | − | 9.16825e10i | 0.797224 | − | 0.516428i | ||||
\(112\) | 6.63643e10 | + | 1.17543e11i | 0.355824 | + | 0.630228i | ||||
\(113\) | 2.20977e11i | 1.12828i | 0.825681 | + | 0.564138i | \(0.190791\pi\) | ||||
−0.825681 | + | 0.564138i | \(0.809209\pi\) | |||||||
\(114\) | 7.61089e10 | + | 8.97550e10i | 0.370219 | + | 0.436598i | ||||
\(115\) | 4.67931e11i | 2.16942i | ||||||||
\(116\) | −5.05390e10 | − | 1.92309e11i | −0.223413 | − | 0.850121i | ||||
\(117\) | −7.07474e10 | + | 1.57928e11i | −0.298324 | + | 0.665944i | ||||
\(118\) | 2.45529e11 | − | 3.17240e10i | 0.987987 | − | 0.127655i | ||||
\(119\) | 9.06463e10 | 0.348210 | ||||||||
\(120\) | 4.04411e11 | + | 2.82949e11i | 1.48363 | + | 1.03803i | ||||
\(121\) | −2.22483e11 | −0.779791 | ||||||||
\(122\) | −1.29562e11 | + | 1.67403e10i | −0.434007 | + | 0.0560768i | ||||
\(123\) | −7.75364e9 | − | 1.19695e10i | −0.0248329 | − | 0.0383352i | ||||
\(124\) | −1.13693e11 | − | 4.32620e11i | −0.348269 | − | 1.32522i | ||||
\(125\) | − | 7.89977e11i | − | 2.31531i | ||||||
\(126\) | −2.47029e11 | − | 7.44357e10i | −0.692963 | − | 0.208806i | ||||
\(127\) | − | 4.64618e11i | − | 1.24789i | −0.781469 | − | 0.623944i | \(-0.785529\pi\) | ||
0.781469 | − | 0.623944i | \(-0.214471\pi\) | |||||||
\(128\) | −2.41805e11 | + | 3.04378e11i | −0.622028 | + | 0.782995i | ||||
\(129\) | −2.27817e11 | − | 3.51688e11i | −0.561492 | − | 0.866789i | ||||
\(130\) | 7.16770e10 | + | 5.54745e11i | 0.169313 | + | 1.31040i | ||||
\(131\) | 2.19572e11 | 0.497262 | 0.248631 | − | 0.968598i | \(-0.420019\pi\) | ||||
0.248631 | + | 0.968598i | \(0.420019\pi\) | |||||||
\(132\) | 1.45526e11 | − | 1.59701e11i | 0.316070 | − | 0.346856i | ||||
\(133\) | −1.98834e11 | −0.414292 | ||||||||
\(134\) | −1.08540e10 | − | 8.40046e10i | −0.0217027 | − | 0.167968i | ||||
\(135\) | −9.32262e11 | + | 1.44380e11i | −1.78938 | + | 0.277122i | ||||
\(136\) | 9.81571e10 | + | 2.41893e11i | 0.180908 | + | 0.445820i | ||||
\(137\) | 8.45778e11i | 1.49725i | 0.662995 | + | 0.748624i | \(0.269285\pi\) | ||||
−0.662995 | + | 0.748624i | \(0.730715\pi\) | |||||||
\(138\) | 5.37262e11 | − | 4.55579e11i | 0.913800 | − | 0.774869i | ||||
\(139\) | − | 7.50806e11i | − | 1.22729i | −0.789583 | − | 0.613644i | \(-0.789703\pi\) | ||
0.789583 | − | 0.613644i | \(-0.210297\pi\) | |||||||
\(140\) | −8.06554e11 | + | 2.11963e11i | −1.26745 | + | 0.333086i | ||||
\(141\) | −1.56757e11 | + | 1.01544e11i | −0.236876 | + | 0.153444i | ||||
\(142\) | 9.76729e11 | − | 1.26200e11i | 1.41967 | − | 0.183432i | ||||
\(143\) | 2.44860e11 | 0.342428 | ||||||||
\(144\) | −6.88632e10 | − | 7.39810e11i | −0.0926816 | − | 0.995696i | ||||
\(145\) | 1.22844e12 | 1.59159 | ||||||||
\(146\) | 6.23136e11 | − | 8.05136e10i | 0.777396 | − | 0.100445i | ||||
\(147\) | −3.32621e11 | + | 2.15466e11i | −0.399673 | + | 0.258901i | ||||
\(148\) | −7.93605e11 | + | 2.08560e11i | −0.918681 | + | 0.241431i | ||||
\(149\) | − | 1.36627e11i | − | 0.152410i | −0.997092 | − | 0.0762049i | \(-0.975720\pi\) | ||
0.997092 | − | 0.0762049i | \(-0.0242803\pi\) | |||||||
\(150\) | −1.61637e12 | + | 1.37062e12i | −1.73796 | + | 1.47372i | ||||
\(151\) | 1.88094e12i | 1.94985i | 0.222535 | + | 0.974925i | \(0.428567\pi\) | ||||
−0.222535 | + | 0.974925i | \(0.571433\pi\) | |||||||
\(152\) | −2.15309e11 | − | 5.30597e11i | −0.215240 | − | 0.530426i | ||||
\(153\) | −4.55354e11 | − | 2.03986e11i | −0.439083 | − | 0.196697i | ||||
\(154\) | 4.67794e10 | + | 3.62050e11i | 0.0435202 | + | 0.336825i | ||||
\(155\) | 2.76352e12 | 2.48106 | ||||||||
\(156\) | 5.67154e11 | − | 6.22398e11i | 0.491491 | − | 0.539365i | ||||
\(157\) | 1.05160e12 | 0.879836 | 0.439918 | − | 0.898038i | \(-0.355007\pi\) | ||||
0.439918 | + | 0.898038i | \(0.355007\pi\) | |||||||
\(158\) | −1.34454e11 | − | 1.04061e12i | −0.108632 | − | 0.840763i | ||||
\(159\) | −7.90042e11 | − | 1.21961e12i | −0.616547 | − | 0.951780i | ||||
\(160\) | −1.43902e12 | − | 1.92279e12i | −1.08494 | − | 1.44968i | ||||
\(161\) | 1.19020e12i | 0.867115i | ||||||||
\(162\) | 1.07342e12 | + | 9.29823e11i | 0.755856 | + | 0.654738i | ||||
\(163\) | 8.25786e11i | 0.562128i | 0.959689 | + | 0.281064i | \(0.0906874\pi\) | ||||
−0.959689 | + | 0.281064i | \(0.909313\pi\) | |||||||
\(164\) | 1.76381e10 | + | 6.71156e10i | 0.0116094 | + | 0.0441756i | ||||
\(165\) | 7.25725e11 | + | 1.12032e12i | 0.461966 | + | 0.713150i | ||||
\(166\) | 6.81081e11 | − | 8.80005e10i | 0.419377 | − | 0.0541864i | ||||
\(167\) | −2.62256e12 | −1.56237 | −0.781186 | − | 0.624298i | \(-0.785385\pi\) | ||||
−0.781186 | + | 0.624298i | \(0.785385\pi\) | |||||||
\(168\) | 1.02863e12 | + | 7.19689e11i | 0.593006 | + | 0.414901i | ||||
\(169\) | −8.37873e11 | −0.467521 | ||||||||
\(170\) | −1.59949e12 | + | 2.06666e11i | −0.864000 | + | 0.111635i | ||||
\(171\) | 9.98827e11 | + | 4.47446e11i | 0.522410 | + | 0.234025i | ||||
\(172\) | 5.18241e11 | + | 1.97199e12i | 0.262498 | + | 0.998845i | ||||
\(173\) | − | 2.60982e10i | − | 0.0128043i | −0.999980 | − | 0.00640216i | \(-0.997962\pi\) | ||
0.999980 | − | 0.00640216i | \(-0.00203788\pi\) | |||||||
\(174\) | −1.19602e12 | − | 1.41046e12i | −0.568482 | − | 0.670408i | ||||
\(175\) | − | 3.58075e12i | − | 1.64917i | ||||||
\(176\) | −9.15489e11 | + | 5.16882e11i | −0.408633 | + | 0.230713i | ||||
\(177\) | 1.93247e12 | − | 1.25182e12i | 0.836103 | − | 0.541614i | ||||
\(178\) | −2.03654e11 | − | 1.57618e12i | −0.0854246 | − | 0.661146i | ||||
\(179\) | −7.07847e11 | −0.287904 | −0.143952 | − | 0.989585i | \(-0.545981\pi\) | ||||
−0.143952 | + | 0.989585i | \(0.545981\pi\) | |||||||
\(180\) | 4.52865e12 | + | 7.50246e11i | 1.78636 | + | 0.295941i | ||||
\(181\) | −1.26031e12 | −0.482221 | −0.241110 | − | 0.970498i | \(-0.577512\pi\) | ||||
−0.241110 | + | 0.970498i | \(0.577512\pi\) | |||||||
\(182\) | 1.82313e11 | + | 1.41101e12i | 0.0676743 | + | 0.523767i | ||||
\(183\) | −1.01973e12 | + | 6.60567e11i | −0.367287 | + | 0.237923i | ||||
\(184\) | −3.17609e12 | + | 1.28882e12i | −1.11018 | + | 0.450498i | ||||
\(185\) | − | 5.06945e12i | − | 1.71995i | ||||||
\(186\) | −2.69057e12 | − | 3.17298e12i | −0.886182 | − | 1.04507i | ||||
\(187\) | 7.06003e11i | 0.225776i | ||||||||
\(188\) | 8.78968e11 | − | 2.30994e11i | 0.272964 | − | 0.0717353i | ||||
\(189\) | −2.37124e12 | + | 3.67234e11i | −0.715213 | + | 0.110765i | ||||
\(190\) | 3.50852e12 | − | 4.53325e11i | 1.02797 | − | 0.132820i | ||||
\(191\) | 1.33364e11 | 0.0379626 | 0.0189813 | − | 0.999820i | \(-0.493958\pi\) | ||||
0.0189813 | + | 0.999820i | \(0.493958\pi\) | |||||||
\(192\) | −8.06656e11 | + | 3.52427e12i | −0.223116 | + | 0.974792i | ||||
\(193\) | −6.05081e12 | −1.62648 | −0.813240 | − | 0.581929i | \(-0.802298\pi\) | ||||
−0.813240 | + | 0.581929i | \(0.802298\pi\) | |||||||
\(194\) | −1.62621e12 | + | 2.10118e11i | −0.424881 | + | 0.0548976i | ||||
\(195\) | 2.82835e12 | + | 4.36620e12i | 0.718362 | + | 1.10895i | ||||
\(196\) | 1.86508e12 | − | 4.90146e11i | 0.460563 | − | 0.121037i | ||||
\(197\) | 4.22106e12i | 1.01358i | 0.862070 | + | 0.506790i | \(0.169168\pi\) | ||||
−0.862070 | + | 0.506790i | \(0.830832\pi\) | |||||||
\(198\) | 5.79746e11 | − | 1.92400e12i | 0.135388 | − | 0.449310i | ||||
\(199\) | − | 2.61366e12i | − | 0.593687i | −0.954926 | − | 0.296844i | \(-0.904066\pi\) | ||
0.954926 | − | 0.296844i | \(-0.0959340\pi\) | |||||||
\(200\) | 9.55536e12 | − | 3.87744e12i | 2.11146 | − | 0.856802i | ||||
\(201\) | −4.28295e11 | − | 6.61171e11i | −0.0920800 | − | 0.142146i | ||||
\(202\) | 2.18231e11 | + | 1.68900e12i | 0.0456545 | + | 0.353344i | ||||
\(203\) | 3.12459e12 | 0.636157 | ||||||||
\(204\) | 1.79456e12 | + | 1.63527e12i | 0.355624 | + | 0.324059i | ||||
\(205\) | −4.28726e11 | −0.0827053 | ||||||||
\(206\) | 7.67360e11 | + | 5.93900e12i | 0.144122 | + | 1.11543i | ||||
\(207\) | 2.67836e12 | − | 5.97886e12i | 0.489814 | − | 1.09341i | ||||
\(208\) | −3.56792e12 | + | 2.01443e12i | −0.635429 | + | 0.358761i | ||||
\(209\) | − | 1.54863e12i | − | 0.268623i | ||||||
\(210\) | −5.91554e12 | + | 5.01616e12i | −0.999512 | + | 0.847549i | ||||
\(211\) | 9.02008e12i | 1.48476i | 0.669978 | + | 0.742381i | \(0.266303\pi\) | ||||
−0.669978 | + | 0.742381i | \(0.733697\pi\) | |||||||
\(212\) | 1.79720e12 | + | 6.83862e12i | 0.288236 | + | 1.09678i | ||||
\(213\) | 7.68749e12 | − | 4.97983e12i | 1.20143 | − | 0.778263i | ||||
\(214\) | 9.05652e10 | − | 1.17017e10i | 0.0137939 | − | 0.00178226i | ||||
\(215\) | −1.25968e13 | −1.87003 | ||||||||
\(216\) | −3.54770e12 | − | 5.93008e12i | −0.513394 | − | 0.858153i | ||||
\(217\) | 7.02910e12 | 0.991679 | ||||||||
\(218\) | 5.71976e12 | − | 7.39034e11i | 0.786806 | − | 0.101661i | ||||
\(219\) | 4.90449e12 | − | 3.17705e12i | 0.657887 | − | 0.426168i | ||||
\(220\) | −1.65089e12 | − | 6.28188e12i | −0.215970 | − | 0.821798i | ||||
\(221\) | 2.75149e12i | 0.351084i | ||||||||
\(222\) | −5.82056e12 | + | 4.93562e12i | −0.724475 | + | 0.614329i | ||||
\(223\) | − | 6.09863e12i | − | 0.740552i | −0.928922 | − | 0.370276i | \(-0.879263\pi\) | ||
0.928922 | − | 0.370276i | \(-0.120737\pi\) | |||||||
\(224\) | −3.66018e12 | − | 4.89069e12i | −0.433649 | − | 0.579436i | ||||
\(225\) | −8.05792e12 | + | 1.79876e13i | −0.931578 | + | 2.07955i | ||||
\(226\) | −1.28145e12 | − | 9.91782e12i | −0.144579 | − | 1.11897i | ||||
\(227\) | 8.24431e10 | 0.00907846 | 0.00453923 | − | 0.999990i | \(-0.498555\pi\) | ||||
0.00453923 | + | 0.999990i | \(0.498555\pi\) | |||||||
\(228\) | −3.93639e12 | − | 3.58700e12i | −0.423113 | − | 0.385558i | ||||
\(229\) | 6.00729e12 | 0.630352 | 0.315176 | − | 0.949033i | \(-0.397936\pi\) | ||||
0.315176 | + | 0.949033i | \(0.397936\pi\) | |||||||
\(230\) | −2.71355e12 | − | 2.10016e13i | −0.277993 | − | 2.15154i | ||||
\(231\) | 1.84590e12 | + | 2.84957e12i | 0.184647 | + | 0.285045i | ||||
\(232\) | 3.38349e12 | + | 8.33808e12i | 0.330507 | + | 0.814484i | ||||
\(233\) | − | 6.70487e12i | − | 0.639636i | −0.947479 | − | 0.319818i | \(-0.896378\pi\) | ||
0.947479 | − | 0.319818i | \(-0.103622\pi\) | |||||||
\(234\) | 2.25943e12 | − | 7.49837e12i | 0.210529 | − | 0.698682i | ||||
\(235\) | 5.61474e12i | 0.511042i | ||||||||
\(236\) | −1.08358e13 | + | 2.84766e12i | −0.963484 | + | 0.253205i | ||||
\(237\) | −5.30552e12 | − | 8.19027e12i | −0.460906 | − | 0.711512i | ||||
\(238\) | −4.06836e12 | + | 5.25661e11i | −0.345340 | + | 0.0446203i | ||||
\(239\) | −2.15848e13 | −1.79044 | −0.895222 | − | 0.445621i | \(-0.852983\pi\) | ||||
−0.895222 | + | 0.445621i | \(0.852983\pi\) | |||||||
\(240\) | −1.97915e13 | − | 1.03540e13i | −1.60442 | − | 0.839360i | ||||
\(241\) | 2.16323e13 | 1.71399 | 0.856996 | − | 0.515323i | \(-0.172328\pi\) | ||||
0.856996 | + | 0.515323i | \(0.172328\pi\) | |||||||
\(242\) | 9.98544e12 | − | 1.29019e12i | 0.773362 | − | 0.0999238i | ||||
\(243\) | 1.27381e13 | + | 3.49134e12i | 0.964430 | + | 0.264337i | ||||
\(244\) | 5.71787e12 | − | 1.50266e12i | 0.423244 | − | 0.111229i | ||||
\(245\) | 1.19139e13i | 0.862264i | ||||||||
\(246\) | 4.17408e11 | + | 4.92248e11i | 0.0295405 | + | 0.0348370i | ||||
\(247\) | − | 6.03545e12i | − | 0.417711i | ||||||
\(248\) | 7.61152e12 | + | 1.87574e13i | 0.515213 | + | 1.26966i | ||||
\(249\) | 5.36055e12 | − | 3.47248e12i | 0.354906 | − | 0.229902i | ||||
\(250\) | 4.58110e12 | + | 3.54555e13i | 0.296688 | + | 2.29622i | ||||
\(251\) | 2.04494e13 | 1.29561 | 0.647805 | − | 0.761806i | \(-0.275687\pi\) | ||||
0.647805 | + | 0.761806i | \(0.275687\pi\) | |||||||
\(252\) | 1.15188e13 | + | 1.90827e12i | 0.714007 | + | 0.118287i | ||||
\(253\) | −9.26991e12 | −0.562228 | ||||||||
\(254\) | 2.69434e12 | + | 2.08529e13i | 0.159907 | + | 1.23760i | ||||
\(255\) | −1.25891e13 | + | 8.15498e12i | −0.731177 | + | 0.473644i | ||||
\(256\) | 9.08752e12 | − | 1.50633e13i | 0.516566 | − | 0.856247i | ||||
\(257\) | 4.06690e12i | 0.226273i | 0.993579 | + | 0.113136i | \(0.0360897\pi\) | ||||
−0.993579 | + | 0.113136i | \(0.963910\pi\) | |||||||
\(258\) | 1.22643e13 | + | 1.44632e13i | 0.667935 | + | 0.787693i | ||||
\(259\) | − | 1.28943e13i | − | 0.687462i | ||||||
\(260\) | −6.43397e12 | − | 2.44823e13i | −0.335835 | − | 1.27790i | ||||
\(261\) | −1.56961e13 | − | 7.03141e12i | −0.802175 | − | 0.359352i | ||||
\(262\) | −9.85478e12 | + | 1.27331e12i | −0.493162 | + | 0.0637200i | ||||
\(263\) | 1.53194e13 | 0.750731 | 0.375366 | − | 0.926877i | \(-0.377517\pi\) | ||||
0.375366 | + | 0.926877i | \(0.377517\pi\) | |||||||
\(264\) | −5.60534e12 | + | 8.01155e12i | −0.269017 | + | 0.384499i | ||||
\(265\) | −4.36842e13 | −2.05339 | ||||||||
\(266\) | 8.92403e12 | − | 1.15305e12i | 0.410877 | − | 0.0530882i | ||||
\(267\) | −8.03614e12 | − | 1.24056e13i | −0.362440 | − | 0.559507i | ||||
\(268\) | 9.74292e11 | + | 3.70733e12i | 0.0430475 | + | 0.163802i | ||||
\(269\) | − | 3.13857e13i | − | 1.35861i | −0.733856 | − | 0.679305i | \(-0.762281\pi\) | ||
0.733856 | − | 0.679305i | \(-0.237719\pi\) | |||||||
\(270\) | 4.10043e13 | − | 1.18862e13i | 1.73912 | − | 0.504131i | ||||
\(271\) | 2.22952e13i | 0.926574i | 0.886208 | + | 0.463287i | \(0.153330\pi\) | ||||
−0.886208 | + | 0.463287i | \(0.846670\pi\) | |||||||
\(272\) | −5.80821e12 | − | 1.02874e13i | −0.236545 | − | 0.418963i | ||||
\(273\) | 7.19401e12 | + | 1.11056e13i | 0.287129 | + | 0.443248i | ||||
\(274\) | −4.90470e12 | − | 3.79600e13i | −0.191860 | − | 1.48490i | ||||
\(275\) | 2.78888e13 | 1.06930 | ||||||||
\(276\) | −2.14714e13 | + | 2.35628e13i | −0.806974 | + | 0.885577i | ||||
\(277\) | −1.14392e13 | −0.421462 | −0.210731 | − | 0.977544i | \(-0.567584\pi\) | ||||
−0.210731 | + | 0.977544i | \(0.567584\pi\) | |||||||
\(278\) | 4.35395e12 | + | 3.36975e13i | 0.157267 | + | 1.21717i | ||||
\(279\) | −3.53101e13 | − | 1.58179e13i | −1.25048 | − | 0.560178i | ||||
\(280\) | 3.49704e13 | − | 1.41905e13i | 1.21431 | − | 0.492753i | ||||
\(281\) | − | 4.92302e12i | − | 0.167628i | −0.996481 | − | 0.0838140i | \(-0.973290\pi\) | ||
0.996481 | − | 0.0838140i | \(-0.0267102\pi\) | |||||||
\(282\) | 6.44665e12 | − | 5.46652e12i | 0.215260 | − | 0.182533i | ||||
\(283\) | 2.98543e13i | 0.977647i | 0.872383 | + | 0.488823i | \(0.162574\pi\) | ||||
−0.872383 | + | 0.488823i | \(0.837426\pi\) | |||||||
\(284\) | −4.31055e13 | + | 1.13282e13i | −1.38446 | + | 0.363839i | ||||
\(285\) | 2.76143e13 | − | 1.78881e13i | 0.869937 | − | 0.563530i | ||||
\(286\) | −1.09897e13 | + | 1.41995e12i | −0.339605 | + | 0.0438793i | ||||
\(287\) | −1.09048e12 | −0.0330572 | ||||||||
\(288\) | 7.38089e12 | + | 3.28046e13i | 0.219508 | + | 0.975611i | ||||
\(289\) | 2.63385e13 | 0.768517 | ||||||||
\(290\) | −5.51348e13 | + | 7.12380e12i | −1.57847 | + | 0.203949i | ||||
\(291\) | −1.27993e13 | + | 8.29120e12i | −0.359564 | + | 0.232919i | ||||
\(292\) | −2.75006e13 | + | 7.22718e12i | −0.758116 | + | 0.199234i | ||||
\(293\) | 3.39982e13i | 0.919780i | 0.887976 | + | 0.459890i | \(0.152111\pi\) | ||||
−0.887976 | + | 0.459890i | \(0.847889\pi\) | |||||||
\(294\) | 1.36791e13 | − | 1.15994e13i | 0.363202 | − | 0.307982i | ||||
\(295\) | − | 6.92176e13i | − | 1.80383i | ||||||
\(296\) | 3.44089e13 | − | 1.39627e13i | 0.880170 | − | 0.357162i | ||||
\(297\) | −2.86022e12 | − | 1.84685e13i | −0.0718190 | − | 0.463736i | ||||
\(298\) | 7.92307e11 | + | 6.13207e12i | 0.0195301 | + | 0.151153i | ||||
\(299\) | −3.61274e13 | −0.874270 | ||||||||
\(300\) | 6.45973e13 | − | 7.08894e13i | 1.53478 | − | 1.68428i | ||||
\(301\) | −3.20404e13 | −0.747450 | ||||||||
\(302\) | −1.09076e13 | − | 8.44197e13i | −0.249857 | − | 1.93377i | ||||
\(303\) | 8.61134e12 | + | 1.32935e13i | 0.193703 | + | 0.299024i | ||||
\(304\) | 1.27404e13 | + | 2.25655e13i | 0.281435 | + | 0.498472i | ||||
\(305\) | 3.65250e13i | 0.792395i | ||||||||
\(306\) | 2.16200e13 | + | 6.51462e12i | 0.460668 | + | 0.138810i | ||||
\(307\) | − | 1.60204e13i | − | 0.335283i | −0.985848 | − | 0.167642i | \(-0.946385\pi\) | ||
0.985848 | − | 0.167642i | \(-0.0536152\pi\) | |||||||
\(308\) | −4.19908e12 | − | 1.59782e13i | −0.0863228 | − | 0.328472i | ||||
\(309\) | 3.02798e13 | + | 4.67438e13i | 0.611480 | + | 0.943957i | ||||
\(310\) | −1.24032e14 | + | 1.60257e13i | −2.46061 | + | 0.317928i | ||||
\(311\) | 7.98608e13 | 1.55651 | 0.778254 | − | 0.627949i | \(-0.216105\pi\) | ||||
0.778254 | + | 0.627949i | \(0.216105\pi\) | |||||||
\(312\) | −2.18456e13 | + | 3.12233e13i | −0.418324 | + | 0.597899i | ||||
\(313\) | 3.64491e13 | 0.685792 | 0.342896 | − | 0.939373i | \(-0.388592\pi\) | ||||
0.342896 | + | 0.939373i | \(0.388592\pi\) | |||||||
\(314\) | −4.71976e13 | + | 6.09826e12i | −0.872583 | + | 0.112744i | ||||
\(315\) | −2.94901e13 | + | 6.58303e13i | −0.535757 | + | 1.19596i | ||||
\(316\) | 1.20691e13 | + | 4.59247e13i | 0.215474 | + | 0.819911i | ||||
\(317\) | − | 4.22845e13i | − | 0.741916i | −0.928650 | − | 0.370958i | \(-0.879029\pi\) | ||
0.928650 | − | 0.370958i | \(-0.120971\pi\) | |||||||
\(318\) | 4.25310e13 | + | 5.01567e13i | 0.733427 | + | 0.864928i | ||||
\(319\) | 2.43360e13i | 0.412478i | ||||||||
\(320\) | 7.57359e13 | + | 7.79534e13i | 1.26176 | + | 1.29870i | ||||
\(321\) | 7.12807e11 | − | 4.61744e11i | 0.0116733 | − | 0.00756178i | ||||
\(322\) | −6.90200e12 | − | 5.34181e13i | −0.111114 | − | 0.859966i | ||||
\(323\) | 1.74020e13 | 0.275413 | ||||||||
\(324\) | −5.35692e13 | − | 3.55073e13i | −0.833524 | − | 0.552484i | ||||
\(325\) | 1.08691e14 | 1.66277 | ||||||||
\(326\) | −4.78876e12 | − | 3.70627e13i | −0.0720321 | − | 0.557494i | ||||
\(327\) | 4.50183e13 | − | 2.91621e13i | 0.665850 | − | 0.431326i | ||||
\(328\) | −1.18083e12 | − | 2.90998e12i | −0.0171744 | − | 0.0423237i | ||||
\(329\) | 1.42813e13i | 0.204263i | ||||||||
\(330\) | −3.90686e13 | − | 4.60734e13i | −0.549542 | − | 0.648073i | ||||
\(331\) | 6.76842e13i | 0.936339i | 0.883639 | + | 0.468170i | \(0.155086\pi\) | ||||
−0.883639 | + | 0.468170i | \(0.844914\pi\) | |||||||
\(332\) | −3.00578e13 | + | 7.89923e12i | −0.408976 | + | 0.107479i | ||||
\(333\) | −2.90166e13 | + | 6.47734e13i | −0.388333 | + | 0.866869i | ||||
\(334\) | 1.17705e14 | − | 1.52083e13i | 1.54949 | − | 0.200205i | ||||
\(335\) | −2.36820e13 | −0.306670 | ||||||||
\(336\) | −5.03403e13 | − | 2.63358e13i | −0.641283 | − | 0.335491i | ||||
\(337\) | −6.58730e13 | −0.825549 | −0.412774 | − | 0.910833i | \(-0.635440\pi\) | ||||
−0.412774 | + | 0.910833i | \(0.635440\pi\) | |||||||
\(338\) | 3.76052e13 | − | 4.85886e12i | 0.463667 | − | 0.0599090i | ||||
\(339\) | −5.05658e13 | − | 7.80597e13i | −0.613420 | − | 0.946953i | ||||
\(340\) | 7.05896e13 | − | 1.85510e13i | 0.842572 | − | 0.221429i | ||||
\(341\) | 5.47465e13i | 0.642994i | ||||||||
\(342\) | −4.74239e13 | − | 1.42899e13i | −0.548092 | − | 0.165153i | ||||
\(343\) | 9.39389e13i | 1.06838i | ||||||||
\(344\) | −3.46952e13 | − | 8.55010e13i | −0.388328 | − | 0.956973i | ||||
\(345\) | −1.07076e14 | − | 1.65296e14i | −1.17947 | − | 1.82078i | ||||
\(346\) | 1.51344e11 | + | 1.17133e12i | 0.00164077 | + | 0.0126988i | ||||
\(347\) | −4.33886e13 | −0.462981 | −0.231491 | − | 0.972837i | \(-0.574360\pi\) | ||||
−0.231491 | + | 0.972837i | \(0.574360\pi\) | |||||||
\(348\) | 6.18586e13 | + | 5.63681e13i | 0.649702 | + | 0.592035i | ||||
\(349\) | −2.49854e13 | −0.258314 | −0.129157 | − | 0.991624i | \(-0.541227\pi\) | ||||
−0.129157 | + | 0.991624i | \(0.541227\pi\) | |||||||
\(350\) | 2.07649e13 | + | 1.60710e14i | 0.211327 | + | 1.63557i | ||||
\(351\) | −1.11471e13 | − | 7.19770e13i | −0.111679 | − | 0.721115i | ||||
\(352\) | 3.80913e13 | − | 2.85075e13i | 0.375700 | − | 0.281174i | ||||
\(353\) | − | 6.48993e13i | − | 0.630201i | −0.949058 | − | 0.315100i | \(-0.897962\pi\) | ||
0.949058 | − | 0.315100i | \(-0.102038\pi\) | |||||||
\(354\) | −7.94733e13 | + | 6.73904e13i | −0.759807 | + | 0.644288i | ||||
\(355\) | − | 2.75352e14i | − | 2.59199i | ||||||
\(356\) | 1.82807e13 | + | 6.95609e13i | 0.169441 | + | 0.644749i | ||||
\(357\) | −3.20207e13 | + | 2.07425e13i | −0.292250 | + | 0.189315i | ||||
\(358\) | 3.17694e13 | − | 4.10483e12i | 0.285530 | − | 0.0368925i | ||||
\(359\) | −6.55782e13 | −0.580417 | −0.290208 | − | 0.956963i | \(-0.593725\pi\) | ||||
−0.290208 | + | 0.956963i | \(0.593725\pi\) | |||||||
\(360\) | −2.07604e14 | − | 7.41054e12i | −1.80956 | − | 0.0645931i | ||||
\(361\) | 7.83187e13 | 0.672320 | ||||||||
\(362\) | 5.65650e13 | − | 7.30859e12i | 0.478245 | − | 0.0617926i | ||||
\(363\) | 7.85919e13 | − | 5.09105e13i | 0.654473 | − | 0.423956i | ||||
\(364\) | −1.63650e13 | − | 6.22714e13i | −0.134233 | − | 0.510777i | ||||
\(365\) | − | 1.75670e14i | − | 1.41934i | ||||||
\(366\) | 4.19368e13 | − | 3.55609e13i | 0.333771 | − | 0.283026i | ||||
\(367\) | 2.18845e14i | 1.71583i | 0.513792 | + | 0.857915i | \(0.328240\pi\) | ||||
−0.513792 | + | 0.857915i | \(0.671760\pi\) | |||||||
\(368\) | 1.35074e14 | − | 7.62625e13i | 1.04330 | − | 0.589045i | ||||
\(369\) | 5.47792e12 | + | 2.45395e12i | 0.0416841 | + | 0.0186733i | ||||
\(370\) | 2.93979e13 | + | 2.27526e14i | 0.220398 | + | 1.70577i | ||||
\(371\) | −1.11112e14 | −0.820739 | ||||||||
\(372\) | 1.39158e14 | + | 1.26806e14i | 1.01279 | + | 0.922898i | ||||
\(373\) | −2.63525e14 | −1.88983 | −0.944917 | − | 0.327309i | \(-0.893858\pi\) | ||||
−0.944917 | + | 0.327309i | \(0.893858\pi\) | |||||||
\(374\) | −4.09414e12 | − | 3.16866e13i | −0.0289313 | − | 0.223915i | ||||
\(375\) | 1.80769e14 | + | 2.79058e14i | 1.25879 | + | 1.94322i | ||||
\(376\) | −3.81101e13 | + | 1.54646e13i | −0.261521 | + | 0.106122i | ||||
\(377\) | 9.48443e13i | 0.641407i | ||||||||
\(378\) | 1.04296e14 | − | 3.02330e13i | 0.695123 | − | 0.201501i | ||||
\(379\) | − | 1.02574e14i | − | 0.673783i | −0.941543 | − | 0.336892i | \(-0.890624\pi\) | ||
0.941543 | − | 0.336892i | \(-0.109376\pi\) | |||||||
\(380\) | −1.54840e14 | + | 4.06921e13i | −1.00247 | + | 0.263451i | ||||
\(381\) | 1.06318e14 | + | 1.64126e14i | 0.678452 | + | 1.04734i | ||||
\(382\) | −5.98562e12 | + | 7.73384e11i | −0.0376496 | + | 0.00486459i | ||||
\(383\) | 1.03017e14 | 0.638728 | 0.319364 | − | 0.947632i | \(-0.396531\pi\) | ||||
0.319364 | + | 0.947632i | \(0.396531\pi\) | |||||||
\(384\) | 1.57668e13 | − | 1.62853e14i | 0.0963655 | − | 0.995346i | ||||
\(385\) | 1.02066e14 | 0.614963 | ||||||||
\(386\) | 2.71571e14 | − | 3.50889e13i | 1.61307 | − | 0.208420i | ||||
\(387\) | 1.60952e14 | + | 7.21020e13i | 0.942512 | + | 0.422218i | ||||
\(388\) | 7.17687e13 | − | 1.88609e13i | 0.414344 | − | 0.108890i | ||||
\(389\) | 4.81981e13i | 0.274351i | 0.990547 | + | 0.137176i | \(0.0438025\pi\) | ||||
−0.990547 | + | 0.137176i | \(0.956198\pi\) | |||||||
\(390\) | −1.52261e14 | − | 1.79561e14i | −0.854543 | − | 1.00776i | ||||
\(391\) | − | 1.04166e14i | − | 0.576440i | ||||||
\(392\) | −8.08657e13 | + | 3.28143e13i | −0.441256 | + | 0.179056i | ||||
\(393\) | −7.75635e13 | + | 5.02443e13i | −0.417348 | + | 0.270351i | ||||
\(394\) | −2.44781e13 | − | 1.89449e14i | −0.129882 | − | 1.00522i | ||||
\(395\) | −2.93361e14 | −1.53503 | ||||||||
\(396\) | −1.48627e13 | + | 8.97144e13i | −0.0766961 | + | 0.462955i | ||||
\(397\) | 9.32139e13 | 0.474387 | 0.237194 | − | 0.971462i | \(-0.423772\pi\) | ||||
0.237194 | + | 0.971462i | \(0.423772\pi\) | |||||||
\(398\) | 1.51567e13 | + | 1.17306e14i | 0.0760761 | + | 0.588793i | ||||
\(399\) | 7.02379e13 | − | 4.54989e13i | 0.347713 | − | 0.225242i | ||||
\(400\) | −4.06376e14 | + | 2.29438e14i | −1.98426 | + | 1.12030i | ||||
\(401\) | 8.43049e13i | 0.406031i | 0.979176 | + | 0.203015i | \(0.0650741\pi\) | ||||
−0.979176 | + | 0.203015i | \(0.934926\pi\) | |||||||
\(402\) | 2.30568e13 | + | 2.71908e13i | 0.109536 | + | 0.129175i | ||||
\(403\) | 2.13362e14i | 0.999862i | ||||||||
\(404\) | −1.95892e13 | − | 7.45398e13i | −0.0905563 | − | 0.344581i | ||||
\(405\) | 2.96282e14 | − | 2.64330e14i | 1.35115 | − | 1.20544i | ||||
\(406\) | −1.40237e14 | + | 1.81196e13i | −0.630913 | + | 0.0815183i | ||||
\(407\) | 1.00428e14 | 0.445743 | ||||||||
\(408\) | −9.00259e13 | − | 6.29872e13i | −0.394218 | − | 0.275817i | ||||
\(409\) | 6.60335e12 | 0.0285290 | 0.0142645 | − | 0.999898i | \(-0.495459\pi\) | ||||
0.0142645 | + | 0.999898i | \(0.495459\pi\) | |||||||
\(410\) | 1.92420e13 | − | 2.48620e12i | 0.0820235 | − | 0.0105980i | ||||
\(411\) | −1.93538e14 | − | 2.98770e14i | −0.814023 | − | 1.25663i | ||||
\(412\) | −6.88810e13 | − | 2.62103e14i | −0.285867 | − | 1.08777i | ||||
\(413\) | − | 1.76057e14i | − | 0.720988i | ||||||
\(414\) | −8.55377e13 | + | 2.83873e14i | −0.345665 | + | 1.14716i | ||||
\(415\) | − | 1.92005e14i | − | 0.765683i | ||||||
\(416\) | 1.48453e14 | − | 1.11102e14i | 0.584218 | − | 0.437228i | ||||
\(417\) | 1.71806e14 | + | 2.65221e14i | 0.667252 | + | 1.03005i | ||||
\(418\) | 8.98056e12 | + | 6.95052e13i | 0.0344218 | + | 0.266408i | ||||
\(419\) | −3.34130e14 | −1.26398 | −0.631988 | − | 0.774979i | \(-0.717761\pi\) | ||||
−0.631988 | + | 0.774979i | \(0.717761\pi\) | |||||||
\(420\) | 2.36411e14 | − | 2.59438e14i | 0.882665 | − | 0.968641i | ||||
\(421\) | 4.84680e13 | 0.178609 | 0.0893045 | − | 0.996004i | \(-0.471536\pi\) | ||||
0.0893045 | + | 0.996004i | \(0.471536\pi\) | |||||||
\(422\) | −5.23077e13 | − | 4.04837e14i | −0.190260 | − | 1.47252i | ||||
\(423\) | 3.21378e13 | − | 7.17407e13i | 0.115384 | − | 0.257569i | ||||
\(424\) | −1.20319e14 | − | 2.96507e14i | −0.426404 | − | 1.05081i | ||||
\(425\) | 3.13387e14i | 1.09633i | ||||||||
\(426\) | −3.16150e14 | + | 2.68083e14i | −1.09179 | + | 0.925800i | ||||
\(427\) | 9.29026e13i | 0.316719i | ||||||||
\(428\) | −3.99687e12 | + | 1.05038e12i | −0.0134517 | + | 0.00353514i | ||||
\(429\) | −8.64963e13 | + | 5.60309e13i | −0.287397 | + | 0.186171i | ||||
\(430\) | 5.65367e14 | − | 7.30494e13i | 1.85462 | − | 0.239629i | ||||
\(431\) | 2.57169e14 | 0.832903 | 0.416451 | − | 0.909158i | \(-0.363274\pi\) | ||||
0.416451 | + | 0.909158i | \(0.363274\pi\) | |||||||
\(432\) | 1.93615e14 | + | 2.45579e14i | 0.619127 | + | 0.785291i | ||||
\(433\) | −1.79717e12 | −0.00567421 | −0.00283710 | − | 0.999996i | \(-0.500903\pi\) | ||||
−0.00283710 | + | 0.999996i | \(0.500903\pi\) | |||||||
\(434\) | −3.15478e14 | + | 4.07620e13i | −0.983503 | + | 0.127075i | ||||
\(435\) | −4.33946e14 | + | 2.81103e14i | −1.33581 | + | 0.865316i | ||||
\(436\) | −2.52427e14 | + | 6.63382e13i | −0.767292 | + | 0.201645i | ||||
\(437\) | 2.28490e14i | 0.685835i | ||||||||
\(438\) | −2.01698e14 | + | 1.71033e14i | −0.597853 | + | 0.506957i | ||||
\(439\) | 1.80614e14i | 0.528684i | 0.964429 | + | 0.264342i | \(0.0851548\pi\) | ||||
−0.964429 | + | 0.264342i | \(0.914845\pi\) | |||||||
\(440\) | 1.10524e14 | + | 2.72368e14i | 0.319496 | + | 0.787348i | ||||
\(441\) | 6.81931e13 | − | 1.52226e14i | 0.194683 | − | 0.434588i | ||||
\(442\) | −1.59560e13 | − | 1.23492e14i | −0.0449885 | − | 0.348189i | ||||
\(443\) | 6.36828e14 | 1.77338 | 0.886690 | − | 0.462364i | \(-0.152999\pi\) | ||||
0.886690 | + | 0.462364i | \(0.152999\pi\) | |||||||
\(444\) | 2.32615e14 | − | 2.55273e14i | 0.639782 | − | 0.702100i | ||||
\(445\) | −4.44346e14 | −1.20710 | ||||||||
\(446\) | 3.53662e13 | + | 2.73717e14i | 0.0948957 | + | 0.734447i | ||||
\(447\) | 3.12642e13 | + | 4.82634e13i | 0.0828622 | + | 0.127916i | ||||
\(448\) | 1.92637e14 | + | 1.98277e14i | 0.504324 | + | 0.519091i | ||||
\(449\) | − | 7.24372e14i | − | 1.87330i | −0.350271 | − | 0.936648i | \(-0.613910\pi\) | ||
0.350271 | − | 0.936648i | \(-0.386090\pi\) | |||||||
\(450\) | 2.57343e14 | − | 8.54042e14i | 0.657421 | − | 2.18178i | ||||
\(451\) | − | 8.49323e12i | − | 0.0214339i | ||||||
\(452\) | 1.15028e14 | + | 4.37698e14i | 0.286775 | + | 1.09122i | ||||
\(453\) | −4.30412e14 | − | 6.64438e14i | −1.06009 | − | 1.63649i | ||||
\(454\) | −3.70019e12 | + | 4.78090e11i | −0.00900361 | + | 0.00116333i | ||||
\(455\) | 3.97782e14 | 0.956274 | ||||||||
\(456\) | 1.97473e14 | + | 1.38164e14i | 0.469031 | + | 0.328161i | ||||
\(457\) | 3.12175e14 | 0.732587 | 0.366293 | − | 0.930499i | \(-0.380627\pi\) | ||||
0.366293 | + | 0.930499i | \(0.380627\pi\) | |||||||
\(458\) | −2.69617e14 | + | 3.48365e13i | −0.625155 | + | 0.0807744i | ||||
\(459\) | 2.07531e14 | − | 3.21404e13i | 0.475459 | − | 0.0736345i | ||||
\(460\) | 2.43578e14 | + | 9.26851e14i | 0.551403 | + | 2.09818i | ||||
\(461\) | 1.89009e14i | 0.422793i | 0.977400 | + | 0.211397i | \(0.0678011\pi\) | ||||
−0.977400 | + | 0.211397i | \(0.932199\pi\) | |||||||
\(462\) | −9.93721e13 | − | 1.17189e14i | −0.219651 | − | 0.259034i | ||||
\(463\) | − | 2.09620e14i | − | 0.457865i | −0.973442 | − | 0.228933i | \(-0.926476\pi\) | ||
0.973442 | − | 0.228933i | \(-0.0735235\pi\) | |||||||
\(464\) | −2.00210e14 | − | 3.54607e14i | −0.432152 | − | 0.765417i | ||||
\(465\) | −9.76209e14 | + | 6.32372e14i | −2.08234 | + | 1.34890i | ||||
\(466\) | 3.88818e13 | + | 3.00926e14i | 0.0819641 | + | 0.634363i | ||||
\(467\) | −5.21389e14 | −1.08622 | −0.543112 | − | 0.839660i | \(-0.682754\pi\) | ||||
−0.543112 | + | 0.839660i | \(0.682754\pi\) | |||||||
\(468\) | −5.79240e13 | + | 3.49642e14i | −0.119263 | + | 0.719899i | ||||
\(469\) | −6.02358e13 | −0.122576 | ||||||||
\(470\) | −3.25601e13 | − | 2.51999e14i | −0.0654858 | − | 0.506828i | ||||
\(471\) | −3.71476e14 | + | 2.40636e14i | −0.738440 | + | 0.478349i | ||||
\(472\) | 4.69815e14 | − | 1.90645e14i | 0.923094 | − | 0.374580i | ||||
\(473\) | − | 2.49548e14i | − | 0.484639i | ||||||
\(474\) | 2.85617e14 | + | 3.36827e14i | 0.548280 | + | 0.646585i | ||||
\(475\) | − | 6.87420e14i | − | 1.30439i | ||||||
\(476\) | 1.79547e14 | − | 4.71852e13i | 0.336775 | − | 0.0885049i | ||||
\(477\) | 5.58163e14 | + | 2.50041e14i | 1.03493 | + | 0.463618i | ||||
\(478\) | 9.68766e14 | − | 1.25171e14i | 1.77568 | − | 0.229431i | ||||
\(479\) | 2.13955e14 | 0.387684 | 0.193842 | − | 0.981033i | \(-0.437905\pi\) | ||||
0.193842 | + | 0.981033i | \(0.437905\pi\) | |||||||
\(480\) | 9.48321e14 | + | 3.49936e14i | 1.69875 | + | 0.626848i | ||||
\(481\) | 3.91396e14 | 0.693135 | ||||||||
\(482\) | −9.70895e14 | + | 1.25446e14i | −1.69986 | + | 0.219634i | ||||
\(483\) | −2.72351e14 | − | 4.20435e14i | −0.471433 | − | 0.727763i | ||||
\(484\) | −4.40682e14 | + | 1.15812e14i | −0.754182 | + | 0.198200i | ||||
\(485\) | 4.58449e14i | 0.775732i | ||||||||
\(486\) | −5.91956e14 | − | 8.28285e13i | −0.990352 | − | 0.138574i | ||||
\(487\) | 7.29519e14i | 1.20678i | 0.797447 | + | 0.603389i | \(0.206183\pi\) | ||||
−0.797447 | + | 0.603389i | \(0.793817\pi\) | |||||||
\(488\) | −2.47914e14 | + | 1.00600e14i | −0.405501 | + | 0.164547i | ||||
\(489\) | −1.88963e14 | − | 2.91708e14i | −0.305618 | − | 0.471790i | ||||
\(490\) | −6.90891e13 | − | 5.34716e14i | −0.110492 | − | 0.855155i | ||||
\(491\) | 5.09156e14 | 0.805198 | 0.402599 | − | 0.915376i | \(-0.368107\pi\) | ||||
0.402599 | + | 0.915376i | \(0.368107\pi\) | |||||||
\(492\) | −2.15886e13 | − | 1.96724e13i | −0.0337611 | − | 0.0307644i | ||||
\(493\) | −2.73464e14 | −0.422904 | ||||||||
\(494\) | 3.49998e13 | + | 2.70881e14i | 0.0535263 | + | 0.414268i | ||||
\(495\) | −5.12723e14 | − | 2.29685e14i | −0.775450 | − | 0.347379i | ||||
\(496\) | −4.50393e14 | − | 7.97726e14i | −0.673663 | − | 1.19318i | ||||
\(497\) | − | 7.00367e14i | − | 1.03601i | ||||||
\(498\) | −2.20454e14 | + | 1.86937e14i | −0.322520 | + | 0.273485i | ||||
\(499\) | 6.58172e14i | 0.952328i | 0.879356 | + | 0.476164i | \(0.157973\pi\) | ||||
−0.879356 | + | 0.476164i | \(0.842027\pi\) | |||||||
\(500\) | −4.11216e14 | − | 1.56474e15i | −0.588484 | − | 2.23927i | ||||
\(501\) | 9.26415e14 | − | 6.00116e14i | 1.31129 | − | 0.849430i | ||||
\(502\) | −9.17803e14 | + | 1.18587e14i | −1.28493 | + | 0.166022i | ||||
\(503\) | −1.05696e15 | −1.46364 | −0.731821 | − | 0.681497i | \(-0.761329\pi\) | ||||
−0.731821 | + | 0.681497i | \(0.761329\pi\) | |||||||
\(504\) | −5.28048e14 | − | 1.88489e13i | −0.723278 | − | 0.0258178i | ||||
\(505\) | 4.76151e14 | 0.645122 | ||||||||
\(506\) | 4.16050e14 | − | 5.37565e13i | 0.557593 | − | 0.0720449i | ||||
\(507\) | 2.95977e14 | − | 1.91729e14i | 0.392387 | − | 0.254182i | ||||
\(508\) | −2.41853e14 | − | 9.20289e14i | −0.317177 | − | 1.20691i | ||||
\(509\) | 7.65100e14i | 0.992592i | 0.868153 | + | 0.496296i | \(0.165307\pi\) | ||||
−0.868153 | + | 0.496296i | \(0.834693\pi\) | |||||||
\(510\) | 5.17728e14 | − | 4.39014e14i | 0.664455 | − | 0.563434i | ||||
\(511\) | − | 4.46822e14i | − | 0.567309i | ||||||
\(512\) | −3.20512e14 | + | 7.28764e14i | −0.402586 | + | 0.915382i | ||||
\(513\) | −4.55223e14 | + | 7.05005e13i | −0.565690 | + | 0.0876086i | ||||
\(514\) | −2.35841e13 | − | 1.82530e14i | −0.0289950 | − | 0.224407i | ||||
\(515\) | 1.67428e15 | 2.03652 | ||||||||
\(516\) | −6.34315e14 | − | 5.78014e14i | −0.763364 | − | 0.695609i | ||||
\(517\) | −1.11230e14 | −0.132442 | ||||||||
\(518\) | 7.47745e13 | + | 5.78718e14i | 0.0880927 | + | 0.681795i | ||||
\(519\) | 5.97200e12 | + | 9.21914e12i | 0.00696145 | + | 0.0107466i | ||||
\(520\) | 4.30742e14 | + | 1.06150e15i | 0.496819 | + | 1.22433i | ||||
\(521\) | 1.30770e15i | 1.49246i | 0.665689 | + | 0.746229i | \(0.268138\pi\) | ||||
−0.665689 | + | 0.746229i | \(0.731862\pi\) | |||||||
\(522\) | 7.45244e14 | + | 2.24560e14i | 0.841610 | + | 0.253597i | ||||
\(523\) | 4.40719e14i | 0.492496i | 0.969207 | + | 0.246248i | \(0.0791977\pi\) | ||||
−0.969207 | + | 0.246248i | \(0.920802\pi\) | |||||||
\(524\) | 4.34916e14 | − | 1.14296e14i | 0.480931 | − | 0.126389i | ||||
\(525\) | 8.19377e14 | + | 1.26489e15i | 0.896618 | + | 1.38413i | ||||
\(526\) | −6.87560e14 | + | 8.88376e13i | −0.744542 | + | 0.0962000i | ||||
\(527\) | −6.15187e14 | −0.659248 | ||||||||
\(528\) | 2.05118e14 | − | 3.92078e14i | 0.217529 | − | 0.415801i | ||||
\(529\) | 4.14904e14 | 0.435454 | ||||||||
\(530\) | 1.96062e15 | − | 2.53326e14i | 2.03647 | − | 0.263126i | ||||
\(531\) | −3.96190e14 | + | 8.84408e14i | −0.407271 | + | 0.909145i | ||||
\(532\) | −3.93839e14 | + | 1.03501e14i | −0.400687 | + | 0.105301i | ||||
\(533\) | − | 3.31005e13i | − | 0.0333300i | ||||||
\(534\) | 4.32617e14 | + | 5.10183e14i | 0.431148 | + | 0.508451i | ||||
\(535\) | − | 2.55315e13i | − | 0.0251843i | ||||||
\(536\) | −6.52269e13 | − | 1.60742e14i | −0.0636825 | − | 0.156936i | ||||
\(537\) | 2.50046e14 | − | 1.61975e14i | 0.241636 | − | 0.156527i | ||||
\(538\) | 1.82007e14 | + | 1.40865e15i | 0.174095 | + | 1.34741i | ||||
\(539\) | −2.36019e14 | −0.223465 | ||||||||
\(540\) | −1.77142e15 | + | 7.71261e14i | −1.66018 | + | 0.722829i | ||||
\(541\) | −5.98536e13 | −0.0555271 | −0.0277636 | − | 0.999615i | \(-0.508839\pi\) | ||||
−0.0277636 | + | 0.999615i | \(0.508839\pi\) | |||||||
\(542\) | −1.29291e14 | − | 1.00065e15i | −0.118733 | − | 0.918935i | ||||
\(543\) | 4.45203e14 | − | 2.88395e14i | 0.404724 | − | 0.262174i | ||||
\(544\) | 3.20339e14 | + | 4.28033e14i | 0.288281 | + | 0.385197i | ||||
\(545\) | − | 1.61247e15i | − | 1.43652i | ||||||
\(546\) | −3.87281e14 | − | 4.56719e14i | −0.341560 | − | 0.402800i | ||||
\(547\) | − | 1.72876e15i | − | 1.50940i | −0.656070 | − | 0.754700i | \(-0.727783\pi\) | ||
0.656070 | − | 0.754700i | \(-0.272217\pi\) | |||||||
\(548\) | 4.40263e14 | + | 1.67527e15i | 0.380556 | + | 1.44808i | ||||
\(549\) | 2.09063e14 | − | 4.66688e14i | 0.178908 | − | 0.399373i | ||||
\(550\) | −1.25170e15 | + | 1.61728e14i | −1.06049 | + | 0.137022i | ||||
\(551\) | 5.99848e14 | 0.503162 | ||||||||
\(552\) | 8.27030e14 | − | 1.18205e15i | 0.686842 | − | 0.981683i | ||||
\(553\) | −7.46172e14 | −0.613551 | ||||||||
\(554\) | 5.13413e14 | − | 6.63365e13i | 0.417987 | − | 0.0540069i | ||||
\(555\) | 1.16003e15 | + | 1.79077e15i | 0.935103 | + | 1.44354i | ||||
\(556\) | −3.90826e14 | − | 1.48715e15i | −0.311941 | − | 1.18698i | ||||
\(557\) | − | 1.36737e15i | − | 1.08064i | −0.841459 | − | 0.540320i | \(-0.818303\pi\) | ||
0.841459 | − | 0.540320i | \(-0.181697\pi\) | |||||||
\(558\) | 1.67651e15 | + | 5.05171e14i | 1.31195 | + | 0.395321i | ||||
\(559\) | − | 9.72559e14i | − | 0.753618i | ||||||
\(560\) | −1.48724e15 | + | 8.39690e14i | −1.14116 | + | 0.644295i | ||||
\(561\) | −1.61554e14 | − | 2.49395e14i | −0.122750 | − | 0.189492i | ||||
\(562\) | 2.85487e13 | + | 2.20954e14i | 0.0214802 | + | 0.166246i | ||||
\(563\) | −1.40936e15 | −1.05009 | −0.525045 | − | 0.851074i | \(-0.675952\pi\) | ||||
−0.525045 | + | 0.851074i | \(0.675952\pi\) | |||||||
\(564\) | −2.57636e14 | + | 2.82731e14i | −0.190096 | + | 0.208612i | ||||
\(565\) | −2.79596e15 | −2.04298 | ||||||||
\(566\) | −1.73126e14 | − | 1.33991e15i | −0.125277 | − | 0.969587i | ||||
\(567\) | 7.53603e14 | − | 6.72332e14i | 0.540052 | − | 0.481811i | ||||
\(568\) | 1.86896e15 | − | 7.58398e14i | 1.32643 | − | 0.538247i | ||||
\(569\) | 2.06059e15i | 1.44835i | 0.689614 | + | 0.724177i | \(0.257780\pi\) | ||||
−0.689614 | + | 0.724177i | \(0.742220\pi\) | |||||||
\(570\) | −1.13565e15 | + | 9.62986e14i | −0.790553 | + | 0.670360i | ||||
\(571\) | 2.46008e15i | 1.69610i | 0.529919 | + | 0.848048i | \(0.322222\pi\) | ||||
−0.529919 | + | 0.848048i | \(0.677778\pi\) | |||||||
\(572\) | 4.85004e14 | − | 1.27460e14i | 0.331182 | − | 0.0870352i | ||||
\(573\) | −4.71107e13 | + | 3.05175e13i | −0.0318617 | + | 0.0206395i | ||||
\(574\) | 4.89425e13 | − | 6.32372e12i | 0.0327847 | − | 0.00423601i | ||||
\(575\) | −4.11481e15 | −2.73009 | ||||||||
\(576\) | −5.21502e14 | − | 1.42953e15i | −0.342715 | − | 0.939440i | ||||
\(577\) | −1.96715e14 | −0.128047 | −0.0640236 | − | 0.997948i | \(-0.520393\pi\) | ||||
−0.0640236 | + | 0.997948i | \(0.520393\pi\) | |||||||
\(578\) | −1.18212e15 | + | 1.52738e14i | −0.762181 | + | 0.0984791i | ||||
\(579\) | 2.13744e15 | − | 1.38460e15i | 1.36509 | − | 0.884284i | ||||
\(580\) | 2.43323e15 | − | 6.39457e14i | 1.53932 | − | 0.404536i | ||||
\(581\) | − | 4.88372e14i | − | 0.306043i | ||||||
\(582\) | 5.26376e14 | − | 4.46347e14i | 0.326753 | − | 0.277074i | ||||
\(583\) | − | 8.65402e14i | − | 0.532159i | ||||||
\(584\) | 1.19236e15 | − | 4.83845e14i | 0.726336 | − | 0.294738i | ||||
\(585\) | −1.99822e15 | − | 8.95147e14i | −1.20583 | − | 0.540178i | ||||
\(586\) | −1.97157e14 | − | 1.52590e15i | −0.117862 | − | 0.912197i | ||||
\(587\) | −4.98562e13 | −0.0295264 | −0.0147632 | − | 0.999891i | \(-0.504699\pi\) | ||||
−0.0147632 | + | 0.999891i | \(0.504699\pi\) | |||||||
\(588\) | −5.46678e14 | + | 5.99927e14i | −0.320742 | + | 0.351984i | ||||
\(589\) | 1.34942e15 | 0.784357 | ||||||||
\(590\) | 4.01395e14 | + | 3.10661e15i | 0.231146 | + | 1.78896i | ||||
\(591\) | −9.65900e14 | − | 1.49108e15i | −0.551062 | − | 0.850690i | ||||
\(592\) | −1.46336e15 | + | 8.26209e14i | −0.827147 | + | 0.467004i | ||||
\(593\) | − | 1.64271e15i | − | 0.919943i | −0.887934 | − | 0.459972i | \(-0.847860\pi\) | ||
0.887934 | − | 0.459972i | \(-0.152140\pi\) | |||||||
\(594\) | 2.35471e14 | + | 8.12312e14i | 0.130651 | + | 0.450710i | ||||
\(595\) | 1.14692e15i | 0.630508i | ||||||||
\(596\) | −7.11202e13 | − | 2.70624e14i | −0.0387381 | − | 0.147405i | ||||
\(597\) | 5.98081e14 | + | 9.23273e14i | 0.322776 | + | 0.498277i | ||||
\(598\) | 1.62146e15 | − | 2.09504e14i | 0.867063 | − | 0.112031i | ||||
\(599\) | 2.46882e15 | 1.30810 | 0.654052 | − | 0.756450i | \(-0.273068\pi\) | ||||
0.654052 | + | 0.756450i | \(0.273068\pi\) | |||||||
\(600\) | −2.48815e15 | + | 3.55624e15i | −1.30630 | + | 1.86706i | ||||
\(601\) | 3.68424e15 | 1.91663 | 0.958316 | − | 0.285710i | \(-0.0922294\pi\) | ||||
0.958316 | + | 0.285710i | \(0.0922294\pi\) | |||||||
\(602\) | 1.43803e15 | − | 1.85803e14i | 0.741288 | − | 0.0957796i | ||||
\(603\) | 3.02590e14 | + | 1.35551e14i | 0.154564 | + | 0.0692403i | ||||
\(604\) | 9.79106e14 | + | 3.72565e15i | 0.495595 | + | 1.88582i | ||||
\(605\) | − | 2.81502e15i | − | 1.41198i | ||||||
\(606\) | −4.63582e14 | − | 5.46700e14i | −0.230423 | − | 0.271738i | ||||
\(607\) | − | 6.32003e14i | − | 0.311302i | −0.987812 | − | 0.155651i | \(-0.950253\pi\) | ||
0.987812 | − | 0.155651i | \(-0.0497475\pi\) | |||||||
\(608\) | −7.02670e14 | − | 9.38898e14i | −0.342990 | − | 0.458299i | ||||
\(609\) | −1.10376e15 | + | 7.14995e14i | −0.533922 | + | 0.345866i | ||||
\(610\) | −2.11810e14 | − | 1.63931e15i | −0.101539 | − | 0.785862i | ||||
\(611\) | −4.33496e14 | −0.205948 | ||||||||
\(612\) | −1.00812e15 | − | 1.67012e14i | −0.474657 | − | 0.0786349i | ||||
\(613\) | −3.30656e15 | −1.54292 | −0.771461 | − | 0.636276i | \(-0.780474\pi\) | ||||
−0.771461 | + | 0.636276i | \(0.780474\pi\) | |||||||
\(614\) | 9.29028e13 | + | 7.19023e14i | 0.0429638 | + | 0.332519i | ||||
\(615\) | 1.51447e14 | − | 9.81047e13i | 0.0694140 | − | 0.0449652i | ||||
\(616\) | 2.81120e14 | + | 6.92777e14i | 0.127702 | + | 0.314702i | ||||
\(617\) | 4.14251e15i | 1.86507i | 0.361079 | + | 0.932535i | \(0.382408\pi\) | ||||
−0.361079 | + | 0.932535i | \(0.617592\pi\) | |||||||
\(618\) | −1.63008e15 | − | 1.92235e15i | −0.727399 | − | 0.857819i | ||||
\(619\) | 2.84268e15i | 1.25727i | 0.777699 | + | 0.628637i | \(0.216387\pi\) | ||||
−0.777699 | + | 0.628637i | \(0.783613\pi\) | |||||||
\(620\) | 5.47382e15 | − | 1.43853e15i | 2.39959 | − | 0.630614i | ||||
\(621\) | 4.22007e14 | + | 2.72491e15i | 0.183365 | + | 1.18399i | ||||
\(622\) | −3.58429e15 | + | 4.63116e14i | −1.54368 | + | 0.199454i | ||||
\(623\) | −1.13021e15 | −0.482475 | ||||||||
\(624\) | 7.99403e14 | − | 1.52804e15i | 0.338260 | − | 0.646575i | ||||
\(625\) | 4.56258e15 | 1.91368 | ||||||||
\(626\) | −1.63590e15 | + | 2.11370e14i | −0.680139 | + | 0.0878787i | ||||
\(627\) | 3.54371e14 | + | 5.47051e14i | 0.146045 | + | 0.225453i | ||||
\(628\) | 2.08295e15 | − | 5.47401e14i | 0.850942 | − | 0.223629i | ||||
\(629\) | 1.12851e15i | 0.457011i | ||||||||
\(630\) | 9.41815e14 | − | 3.12559e15i | 0.378088 | − | 1.25476i | ||||
\(631\) | − | 1.14814e15i | − | 0.456913i | −0.973554 | − | 0.228456i | \(-0.926632\pi\) | ||
0.973554 | − | 0.228456i | \(-0.0733679\pi\) | |||||||
\(632\) | −8.07999e14 | − | 1.99119e15i | −0.318762 | − | 0.785541i | ||||
\(633\) | −2.06405e15 | − | 3.18633e15i | −0.807235 | − | 1.24615i | ||||
\(634\) | 2.45209e14 | + | 1.89780e15i | 0.0950705 | + | 0.735800i | ||||
\(635\) | 5.87869e15 | 2.25957 | ||||||||
\(636\) | −2.19973e15 | − | 2.00448e15i | −0.838214 | − | 0.763814i | ||||
\(637\) | −9.19833e14 | −0.347490 | ||||||||
\(638\) | −1.41125e14 | − | 1.09224e15i | −0.0528556 | − | 0.409077i | ||||
\(639\) | −1.57607e15 | + | 3.51823e15i | −0.585222 | + | 1.30638i | ||||
\(640\) | −3.85122e15 | − | 3.05949e15i | −1.41778 | − | 1.12631i | ||||
\(641\) | 4.44505e15i | 1.62240i | 0.584769 | + | 0.811200i | \(0.301185\pi\) | ||||
−0.584769 | + | 0.811200i | \(0.698815\pi\) | |||||||
\(642\) | −2.93143e13 | + | 2.48575e13i | −0.0106081 | + | 0.00899528i | ||||
\(643\) | − | 4.05182e15i | − | 1.45375i | −0.686769 | − | 0.726876i | \(-0.740972\pi\) | ||
0.686769 | − | 0.726876i | \(-0.259028\pi\) | |||||||
\(644\) | 6.19547e14 | + | 2.35747e15i | 0.220395 | + | 0.838638i | ||||
\(645\) | 4.44981e15 | − | 2.88251e15i | 1.56950 | − | 1.01670i | ||||
\(646\) | −7.81031e14 | + | 1.00915e14i | −0.273143 | + | 0.0352919i | ||||
\(647\) | −2.99331e15 | −1.03795 | −0.518977 | − | 0.854788i | \(-0.673687\pi\) | ||||
−0.518977 | + | 0.854788i | \(0.673687\pi\) | |||||||
\(648\) | 2.61019e15 | + | 1.28298e15i | 0.897448 | + | 0.441120i | ||||
\(649\) | 1.37123e15 | 0.467481 | ||||||||
\(650\) | −4.87822e15 | + | 6.30301e14i | −1.64907 | + | 0.213071i | ||||
\(651\) | −2.48302e15 | + | 1.60846e15i | −0.832309 | + | 0.539156i | ||||
\(652\) | 4.29856e14 | + | 1.63567e15i | 0.142877 | + | 0.543668i | ||||
\(653\) | − | 2.36368e15i | − | 0.779051i | −0.921016 | − | 0.389526i | \(-0.872639\pi\) | ||
0.921016 | − | 0.389526i | \(-0.127361\pi\) | |||||||
\(654\) | −1.85139e15 | + | 1.56991e15i | −0.605089 | + | 0.513093i | ||||
\(655\) | 2.77819e15i | 0.900397i | ||||||||
\(656\) | 6.98729e13 | + | 1.23757e14i | 0.0224563 | + | 0.0397740i | ||||
\(657\) | −1.00550e15 | + | 2.24457e15i | −0.320461 | + | 0.715359i | ||||
\(658\) | −8.28175e13 | − | 6.40968e14i | −0.0261746 | − | 0.202579i | ||||
\(659\) | −2.02258e14 | −0.0633921 | −0.0316961 | − | 0.999498i | \(-0.510091\pi\) | ||||
−0.0316961 | + | 0.999498i | \(0.510091\pi\) | |||||||
\(660\) | 2.02065e15 | + | 1.84130e15i | 0.628057 | + | 0.572311i | ||||
\(661\) | 4.41176e15 | 1.35989 | 0.679945 | − | 0.733264i | \(-0.262004\pi\) | ||||
0.679945 | + | 0.733264i | \(0.262004\pi\) | |||||||
\(662\) | −3.92503e14 | − | 3.03779e15i | −0.119984 | − | 0.928620i | ||||
\(663\) | −6.29620e14 | − | 9.71961e14i | −0.190877 | − | 0.294662i | ||||
\(664\) | 1.30324e15 | − | 5.28838e14i | 0.391832 | − | 0.159000i | ||||
\(665\) | − | 2.51580e15i | − | 0.750164i | ||||||
\(666\) | 9.26694e14 | − | 3.07541e15i | 0.274049 | − | 0.909484i | ||||
\(667\) | − | 3.59062e15i | − | 1.05312i | ||||||
\(668\) | −5.19461e15 | + | 1.36515e15i | −1.51106 | + | 0.397109i | ||||
\(669\) | 1.39554e15 | + | 2.15433e15i | 0.402623 | + | 0.621540i | ||||
\(670\) | 1.06289e15 | − | 1.37333e14i | 0.304142 | − | 0.0392972i | ||||
\(671\) | −7.23576e14 | −0.205357 | ||||||||
\(672\) | 2.41208e15 | + | 8.90073e14i | 0.678987 | + | 0.250550i | ||||
\(673\) | −4.53547e15 | −1.26631 | −0.633154 | − | 0.774026i | \(-0.718240\pi\) | ||||
−0.633154 | + | 0.774026i | \(0.718240\pi\) | |||||||
\(674\) | 2.95649e15 | − | 3.82000e14i | 0.818743 | − | 0.105787i | ||||
\(675\) | −1.26962e15 | − | 8.19797e15i | −0.348742 | − | 2.25183i | ||||
\(676\) | −1.65961e15 | + | 4.36148e14i | −0.452168 | + | 0.118830i | ||||
\(677\) | − | 9.60756e14i | − | 0.259642i | −0.991537 | − | 0.129821i | \(-0.958560\pi\) | ||
0.991537 | − | 0.129821i | \(-0.0414403\pi\) | |||||||
\(678\) | 2.72215e15 | + | 3.21022e15i | 0.729708 | + | 0.860542i | ||||
\(679\) | 1.16608e15i | 0.310059i | ||||||||
\(680\) | −3.06061e15 | + | 1.24196e15i | −0.807251 | + | 0.327572i | ||||
\(681\) | −2.91229e13 | + | 1.88653e13i | −0.00761948 | + | 0.00493577i | ||||
\(682\) | −3.17477e14 | − | 2.45712e15i | −0.0823944 | − | 0.637693i | ||||
\(683\) | −5.80399e14 | −0.149421 | −0.0747107 | − | 0.997205i | \(-0.523803\pi\) | ||||
−0.0747107 | + | 0.997205i | \(0.523803\pi\) | |||||||
\(684\) | 2.21133e15 | + | 3.66344e14i | 0.564736 | + | 0.0935579i | ||||
\(685\) | −1.07014e16 | −2.71108 | ||||||||
\(686\) | −5.44755e14 | − | 4.21614e15i | −0.136905 | − | 1.05958i | ||||
\(687\) | −2.12206e15 | + | 1.37464e15i | −0.529050 | + | 0.342710i | ||||
\(688\) | 2.05301e15 | + | 3.63624e15i | 0.507754 | + | 0.899323i | ||||
\(689\) | − | 3.37272e15i | − | 0.827512i | ||||||
\(690\) | 5.76431e15 | + | 6.79783e15i | 1.40306 | + | 1.65463i | ||||
\(691\) | 4.87443e15i | 1.17705i | 0.808480 | + | 0.588524i | \(0.200291\pi\) | ||||
−0.808480 | + | 0.588524i | \(0.799709\pi\) | |||||||
\(692\) | −1.35852e13 | − | 5.16937e13i | −0.00325448 | − | 0.0123838i | ||||
\(693\) | −1.30413e15 | − | 5.84211e14i | −0.309946 | − | 0.138847i | ||||
\(694\) | 1.94736e15 | − | 2.51612e14i | 0.459164 | − | 0.0593273i | ||||
\(695\) | 9.49975e15 | 2.22226 | ||||||||
\(696\) | −3.10320e15 | − | 2.17118e15i | −0.720210 | − | 0.503900i | ||||
\(697\) | 9.54386e13 | 0.0219758 | ||||||||
\(698\) | 1.12139e15 | − | 1.44891e14i | 0.256184 | − | 0.0331008i | ||||
\(699\) | 1.53427e15 | + | 2.36849e15i | 0.347757 | + | 0.536842i | ||||
\(700\) | −1.86393e15 | − | 7.09254e15i | −0.419170 | − | 1.59501i | ||||
\(701\) | 4.68302e15i | 1.04490i | 0.852669 | + | 0.522452i | \(0.174983\pi\) | ||||
−0.852669 | + | 0.522452i | \(0.825017\pi\) | |||||||
\(702\) | 9.17698e14 | + | 3.16581e15i | 0.203164 | + | 0.700859i | ||||
\(703\) | − | 2.47540e15i | − | 0.543741i | ||||||
\(704\) | −1.54429e15 | + | 1.50036e15i | −0.336573 | + | 0.326999i | ||||
\(705\) | −1.28481e15 | − | 1.98340e15i | −0.277843 | − | 0.428913i | ||||
\(706\) | 3.76353e14 | + | 2.91279e15i | 0.0807550 | + | 0.625005i | ||||
\(707\) | 1.21110e15 | 0.257855 | ||||||||
\(708\) | 3.17610e15 | − | 3.48547e15i | 0.670983 | − | 0.736340i | ||||
\(709\) | −2.81997e15 | −0.591139 | −0.295570 | − | 0.955321i | \(-0.595509\pi\) | ||||
−0.295570 | + | 0.955321i | \(0.595509\pi\) | |||||||
\(710\) | 1.59678e15 | + | 1.23583e16i | 0.332142 | + | 2.57062i | ||||
\(711\) | 3.74833e15 | + | 1.67915e15i | 0.773670 | + | 0.346582i | ||||
\(712\) | −1.22386e15 | − | 3.01601e15i | −0.250663 | − | 0.617721i | ||||
\(713\) | − | 8.07748e15i | − | 1.64166i | ||||||
\(714\) | 1.31686e15 | − | 1.11665e15i | 0.265582 | − | 0.225204i | ||||
\(715\) | 3.09814e15i | 0.620038i | ||||||||
\(716\) | −1.40206e15 | + | 3.68464e14i | −0.278449 | + | 0.0731767i | ||||
\(717\) | 7.62482e15 | − | 4.93923e15i | 1.50271 | − | 0.973428i | ||||
\(718\) | 2.94326e15 | − | 3.80290e14i | 0.575632 | − | 0.0743756i | ||||
\(719\) | −1.60198e15 | −0.310920 | −0.155460 | − | 0.987842i | \(-0.549686\pi\) | ||||
−0.155460 | + | 0.987842i | \(0.549686\pi\) | |||||||
\(720\) | 9.36062e15 | − | 8.71307e14i | 1.80292 | − | 0.167820i | ||||
\(721\) | 4.25858e15 | 0.813993 | ||||||||
\(722\) | −3.51508e15 | + | 4.54173e14i | −0.666777 | + | 0.0861523i | ||||
\(723\) | −7.64157e15 | + | 4.95008e15i | −1.43854 | + | 0.931863i | ||||
\(724\) | −2.49635e15 | + | 6.56045e14i | −0.466384 | + | 0.122566i | ||||
\(725\) | 1.08025e16i | 2.00293i | ||||||||
\(726\) | −3.23211e15 | + | 2.74071e15i | −0.594750 | + | 0.504326i | ||||
\(727\) | 1.05087e15i | 0.191916i | 0.995385 | + | 0.0959578i | \(0.0305914\pi\) | ||||
−0.995385 | + | 0.0959578i | \(0.969409\pi\) | |||||||
\(728\) | 1.09560e15 | + | 2.69995e15i | 0.198578 | + | 0.489365i | ||||
\(729\) | −5.29864e15 | + | 1.68154e15i | −0.953154 | + | 0.302486i | ||||
\(730\) | 1.01872e15 | + | 7.88438e15i | 0.181877 | + | 1.40764i | ||||
\(731\) | 2.80418e15 | 0.496889 | ||||||||
\(732\) | −1.67598e15 | + | 1.83923e15i | −0.294752 | + | 0.323463i | ||||
\(733\) | −2.62345e15 | −0.457933 | −0.228966 | − | 0.973434i | \(-0.573535\pi\) | ||||
−0.228966 | + | 0.973434i | \(0.573535\pi\) | |||||||
\(734\) | −1.26909e15 | − | 9.82216e15i | −0.219869 | − | 1.70168i | ||||
\(735\) | −2.72624e15 | − | 4.20857e15i | −0.468795 | − | 0.723692i | ||||
\(736\) | −5.62013e15 | + | 4.20610e15i | −0.959220 | + | 0.717879i | ||||
\(737\) | − | 4.69149e14i | − | 0.0794767i | ||||||
\(738\) | −2.60089e14 | − | 7.83710e13i | −0.0437333 | − | 0.0131779i | ||||
\(739\) | − | 6.95539e15i | − | 1.16085i | −0.814313 | − | 0.580427i | \(-0.802886\pi\) | ||
0.814313 | − | 0.580427i | \(-0.197114\pi\) | |||||||
\(740\) | −2.63886e15 | − | 1.00413e16i | −0.437161 | − | 1.66347i | ||||
\(741\) | 1.38108e15 | + | 2.13201e15i | 0.227101 | + | 0.350582i | ||||
\(742\) | 4.98691e15 | − | 6.44343e14i | 0.813973 | − | 0.105171i | ||||
\(743\) | 8.86508e15 | 1.43630 | 0.718148 | − | 0.695890i | \(-0.244990\pi\) | ||||
0.718148 | + | 0.695890i | \(0.244990\pi\) | |||||||
\(744\) | −6.98099e15 | − | 4.88430e15i | −1.12271 | − | 0.785509i | ||||
\(745\) | 1.72871e15 | 0.275970 | ||||||||
\(746\) | 1.18275e16 | − | 1.52819e15i | 1.87425 | − | 0.242167i | ||||
\(747\) | −1.09901e15 | + | 2.45329e15i | −0.172877 | + | 0.385910i | ||||
\(748\) | 3.67504e14 | + | 1.39841e15i | 0.0573856 | + | 0.218361i | ||||
\(749\) | − | 6.49401e13i | − | 0.0100661i | ||||||
\(750\) | −9.73150e15 | − | 1.14763e16i | −1.49742 | − | 1.76590i | ||||
\(751\) | − | 1.04973e16i | − | 1.60346i | −0.597685 | − | 0.801731i | \(-0.703913\pi\) | ||
0.597685 | − | 0.801731i | \(-0.296087\pi\) | |||||||
\(752\) | 1.62077e15 | − | 9.15079e14i | 0.245767 | − | 0.138759i | ||||
\(753\) | −7.22370e15 | + | 4.67939e15i | −1.08740 | + | 0.704397i | ||||
\(754\) | −5.50005e14 | − | 4.25678e15i | −0.0821910 | − | 0.636119i | ||||
\(755\) | −2.37990e16 | −3.53061 | ||||||||
\(756\) | −4.50565e15 | + | 1.96173e15i | −0.663571 | + | 0.288914i | ||||
\(757\) | 8.84480e15 | 1.29318 | 0.646592 | − | 0.762836i | \(-0.276194\pi\) | ||||
0.646592 | + | 0.762836i | \(0.276194\pi\) | |||||||
\(758\) | 5.94828e14 | + | 4.60368e15i | 0.0863398 | + | 0.668228i | ||||
\(759\) | 3.27458e15 | − | 2.12122e15i | 0.471874 | − | 0.305672i | ||||
\(760\) | 6.71350e15 | − | 2.72425e15i | 0.960448 | − | 0.389738i | ||||
\(761\) | − | 5.31012e15i | − | 0.754204i | −0.926172 | − | 0.377102i | \(-0.876921\pi\) | ||
0.926172 | − | 0.377102i | \(-0.123079\pi\) | |||||||
\(762\) | −5.72350e15 | − | 6.74971e15i | −0.807067 | − | 0.951771i | ||||
\(763\) | − | 4.10138e15i | − | 0.574175i | ||||||
\(764\) | 2.64160e14 | − | 6.94216e13i | 0.0367159 | − | 0.00964898i | ||||
\(765\) | 2.58097e15 | − | 5.76147e15i | 0.356161 | − | 0.795052i | ||||
\(766\) | −4.62359e15 | + | 5.97400e14i | −0.633462 | + | 0.0818478i | ||||
\(767\) | 5.34407e15 | 0.726938 | ||||||||
\(768\) | 2.36749e14 | + | 7.40056e15i | 0.0319744 | + | 0.999489i | ||||
\(769\) | 1.36475e16 | 1.83003 | 0.915016 | − | 0.403418i | \(-0.132178\pi\) | ||||
0.915016 | + | 0.403418i | \(0.132178\pi\) | |||||||
\(770\) | −4.58092e15 | + | 5.91887e14i | −0.609893 | + | 0.0788025i | ||||
\(771\) | −9.30624e14 | − | 1.43663e15i | −0.123020 | − | 0.189909i | ||||
\(772\) | −1.19851e16 | + | 3.14970e15i | −1.57306 | + | 0.413404i | ||||
\(773\) | − | 8.86752e14i | − | 0.115562i | −0.998329 | − | 0.0577810i | \(-0.981597\pi\) | ||
0.998329 | − | 0.0577810i | \(-0.0184025\pi\) | |||||||
\(774\) | −7.64194e15 | − | 2.30270e15i | −0.988845 | − | 0.297962i | ||||
\(775\) | 2.43014e16i | 3.12228i | ||||||||
\(776\) | −3.11173e15 | + | 1.26270e15i | −0.396974 | + | 0.161087i | ||||
\(777\) | 2.95058e15 | + | 4.55489e15i | 0.373759 | + | 0.576982i | ||||
\(778\) | −2.79502e14 | − | 2.16321e15i | −0.0351559 | − | 0.272089i | ||||
\(779\) | −2.09346e14 | −0.0261462 | ||||||||
\(780\) | 7.87503e15 | + | 7.17605e15i | 0.976635 | + | 0.889949i | ||||
\(781\) | 5.45484e15 | 0.671740 | ||||||||
\(782\) | 6.04063e14 | + | 4.67516e15i | 0.0738661 | + | 0.571688i | ||||
\(783\) | 7.15361e15 | − | 1.10788e15i | 0.868632 | − | 0.134525i | ||||
\(784\) | 3.43910e15 | − | 1.94170e15i | 0.414674 | − | 0.234123i | ||||
\(785\) | 1.33056e16i | 1.59313i | ||||||||
\(786\) | 3.18982e15 | − | 2.70485e15i | 0.379264 | − | 0.321602i | ||||
\(787\) | 7.23856e15i | 0.854656i | 0.904097 | + | 0.427328i | \(0.140545\pi\) | ||||
−0.904097 | + | 0.427328i | \(0.859455\pi\) | |||||||
\(788\) | 2.19724e15 | + | 8.36084e15i | 0.257622 | + | 0.980292i | ||||
\(789\) | −5.41155e15 | + | 3.50551e15i | −0.630083 | + | 0.408157i | ||||
\(790\) | 1.31665e16 | − | 1.70121e15i | 1.52238 | − | 0.196702i | ||||
\(791\) | −7.11161e15 | −0.816577 | ||||||||
\(792\) | 1.46806e14 | − | 4.11273e15i | 0.0167400 | − | 0.468966i | ||||
\(793\) | −2.81998e15 | −0.319333 | ||||||||
\(794\) | −4.18360e15 | + | 5.40551e14i | −0.470476 | + | 0.0607888i | ||||
\(795\) | 1.54314e16 | − | 9.99619e15i | 1.72340 | − | 1.11639i | ||||
\(796\) | −1.36052e15 | − | 5.17699e15i | −0.150898 | − | 0.574190i | ||||
\(797\) | 2.85996e15i | 0.315021i | 0.987517 | + | 0.157510i | \(0.0503467\pi\) | ||||
−0.987517 | + | 0.157510i | \(0.949653\pi\) | |||||||
\(798\) | −2.88855e15 | + | 2.44938e15i | −0.315983 | + | 0.267942i | ||||
\(799\) | − | 1.24990e15i | − | 0.135790i | ||||||
\(800\) | 1.69083e16 | − | 1.26542e16i | 1.82434 | − | 1.36533i | ||||
\(801\) | 5.67751e15 | + | 2.54336e15i | 0.608386 | + | 0.272539i | ||||
\(802\) | −4.88887e14 | − | 3.78375e15i | −0.0520295 | − | 0.402683i | ||||
\(803\) | 3.48010e15 | 0.367837 | ||||||||
\(804\) | −1.19251e15 | − | 1.08666e15i | −0.125185 | − | 0.114074i | ||||
\(805\) | −1.50592e16 | −1.57009 | ||||||||
\(806\) | −1.23730e15 | − | 9.57608e15i | −0.128124 | − | 0.991619i | ||||
\(807\) | 7.18195e15 | + | 1.10870e16i | 0.738649 | + | 1.14027i | ||||
\(808\) | 1.31146e15 | + | 3.23188e15i | 0.133965 | + | 0.330136i | ||||
\(809\) | − | 1.13678e16i | − | 1.15334i | −0.816976 | − | 0.576671i | \(-0.804351\pi\) | ||
0.816976 | − | 0.576671i | \(-0.195649\pi\) | |||||||
\(810\) | −1.17648e16 | + | 1.35817e16i | −1.18554 | + | 1.36864i | ||||
\(811\) | − | 6.60126e15i | − | 0.660712i | −0.943856 | − | 0.330356i | \(-0.892831\pi\) | ||
0.943856 | − | 0.330356i | \(-0.107169\pi\) | |||||||
\(812\) | 6.18900e15 | − | 1.62648e15i | 0.615265 | − | 0.161693i | ||||
\(813\) | −5.10178e15 | − | 7.87574e15i | −0.503760 | − | 0.777667i | ||||
\(814\) | −4.50738e15 | + | 5.82385e14i | −0.442069 | + | 0.0571184i | ||||
\(815\) | −1.04484e16 | −1.01785 | ||||||||
\(816\) | 4.40578e15 | + | 2.30491e15i | 0.426312 | + | 0.223028i | ||||
\(817\) | −6.15101e15 | −0.591187 | ||||||||
\(818\) | −2.96370e14 | + | 3.82931e13i | −0.0282938 | + | 0.00365575i | ||||
\(819\) | −5.08254e15 | − | 2.27683e15i | −0.481970 | − | 0.215909i | ||||
\(820\) | −8.49195e14 | + | 2.23170e14i | −0.0799892 | + | 0.0210213i | ||||
\(821\) | − | 9.38148e15i | − | 0.877777i | −0.898542 | − | 0.438888i | \(-0.855372\pi\) | ||
0.898542 | − | 0.438888i | \(-0.144628\pi\) | |||||||
\(822\) | 1.04189e16 | + | 1.22870e16i | 0.968339 | + | 1.14196i | ||||
\(823\) | 1.16112e16i | 1.07196i | 0.844231 | + | 0.535980i | \(0.180058\pi\) | ||||
−0.844231 | + | 0.535980i | \(0.819942\pi\) | |||||||
\(824\) | 4.61144e15 | + | 1.13642e16i | 0.422899 | + | 1.04217i | ||||
\(825\) | −9.85168e15 | + | 6.38176e15i | −0.897457 | + | 0.581358i | ||||
\(826\) | 1.02096e15 | + | 7.90175e15i | 0.0923888 | + | 0.715045i | ||||
\(827\) | −5.37765e15 | −0.483406 | −0.241703 | − | 0.970350i | \(-0.577706\pi\) | ||||
−0.241703 | + | 0.970350i | \(0.577706\pi\) | |||||||
\(828\) | 2.19289e15 | − | 1.32368e16i | 0.195817 | − | 1.18199i | ||||
\(829\) | −3.61395e15 | −0.320577 | −0.160288 | − | 0.987070i | \(-0.551242\pi\) | ||||
−0.160288 | + | 0.987070i | \(0.551242\pi\) | |||||||
\(830\) | 1.11345e15 | + | 8.61754e15i | 0.0981160 | + | 0.759370i | ||||
\(831\) | 4.04089e15 | − | 2.61762e15i | 0.353730 | − | 0.229140i | ||||
\(832\) | −6.01853e15 | + | 5.84733e15i | −0.523374 | + | 0.508486i | ||||
\(833\) | − | 2.65215e15i | − | 0.229114i | ||||||
\(834\) | −9.24898e15 | − | 1.09073e16i | −0.793744 | − | 0.936059i | ||||
\(835\) | − | 3.31825e16i | − | 2.82900i | ||||||
\(836\) | −8.06126e14 | − | 3.06744e15i | −0.0682761 | − | 0.259801i | ||||
\(837\) | 1.60928e16 | − | 2.49230e15i | 1.35407 | − | 0.209706i | ||||
\(838\) | 1.49963e16 | − | 1.93763e15i | 1.25355 | − | 0.161968i | ||||
\(839\) | 7.73967e15 | 0.642734 | 0.321367 | − | 0.946955i | \(-0.395858\pi\) | ||||
0.321367 | + | 0.946955i | \(0.395858\pi\) | |||||||
\(840\) | −9.10603e15 | + | 1.30150e16i | −0.751265 | + | 1.07376i | ||||
\(841\) | 2.77417e15 | 0.227382 | ||||||||
\(842\) | −2.17533e15 | + | 2.81067e14i | −0.177136 | + | 0.0228873i | ||||
\(843\) | 1.12653e15 | + | 1.73905e15i | 0.0911360 | + | 0.140689i | ||||
\(844\) | 4.69533e15 | + | 1.78664e16i | 0.377383 | + | 1.43600i | ||||
\(845\) | − | 1.06014e16i | − | 0.846546i | ||||||
\(846\) | −1.02637e15 | + | 3.40622e15i | −0.0814270 | + | 0.270231i | ||||
\(847\) | − | 7.16009e15i | − | 0.564365i | ||||||
\(848\) | 7.11957e15 | + | 1.26100e16i | 0.557541 | + | 0.987504i | ||||
\(849\) | −6.83152e15 | − | 1.05460e16i | −0.531527 | − | 0.820532i | ||||
\(850\) | −1.81734e15 | − | 1.40654e16i | −0.140486 | − | 1.08729i | ||||
\(851\) | −1.48175e16 | −1.13805 | ||||||||
\(852\) | 1.26347e16 | − | 1.38654e16i | 0.964158 | − | 1.05807i | ||||
\(853\) | −7.55971e15 | −0.573173 | −0.286586 | − | 0.958054i | \(-0.592521\pi\) | ||||
−0.286586 | + | 0.958054i | \(0.592521\pi\) | |||||||
\(854\) | −5.38745e14 | − | 4.16963e15i | −0.0405850 | − | 0.314108i | ||||
\(855\) | −5.66141e15 | + | 1.26379e16i | −0.423751 | + | 0.945934i | ||||
\(856\) | 1.73295e14 | − | 7.03209e13i | 0.0128879 | − | 0.00522972i | ||||
\(857\) | 1.99276e16i | 1.47251i | 0.676702 | + | 0.736257i | \(0.263409\pi\) | ||||
−0.676702 | + | 0.736257i | \(0.736591\pi\) | |||||||
\(858\) | 3.55718e15 | − | 3.01636e15i | 0.261172 | − | 0.221464i | ||||
\(859\) | 1.15303e16i | 0.841160i | 0.907255 | + | 0.420580i | \(0.138173\pi\) | ||||
−0.907255 | + | 0.420580i | \(0.861827\pi\) | |||||||
\(860\) | −2.49510e16 | + | 6.55717e15i | −1.80862 | + | 0.475308i | ||||
\(861\) | 3.85209e14 | − | 2.49532e14i | 0.0277447 | − | 0.0179725i | ||||
\(862\) | −1.15422e16 | + | 1.49133e15i | −0.826036 | + | 0.106730i | ||||
\(863\) | −6.91894e15 | −0.492017 | −0.246009 | − | 0.969268i | \(-0.579119\pi\) | ||||
−0.246009 | + | 0.969268i | \(0.579119\pi\) | |||||||
\(864\) | −1.01139e16 | − | 9.89923e15i | −0.714651 | − | 0.699481i | ||||
\(865\) | 3.30213e14 | 0.0231849 | ||||||||
\(866\) | 8.06600e13 | − | 1.04218e13i | 0.00562743 | − | 0.000727103i | ||||
\(867\) | −9.30405e15 | + | 6.02701e15i | −0.645011 | + | 0.417827i | ||||
\(868\) | 1.39228e16 | − | 3.65894e15i | 0.959111 | − | 0.252056i | ||||
\(869\) | − | 5.81160e15i | − | 0.397820i | ||||||
\(870\) | 1.78461e16 | − | 1.51329e16i | 1.21392 | − | 1.02936i | ||||
\(871\) | − | 1.82841e15i | − | 0.123587i | ||||||
\(872\) | 1.09447e16 | − | 4.44121e15i | 0.735127 | − | 0.298305i | ||||
\(873\) | 2.62408e15 | − | 5.85771e15i | 0.175146 | − | 0.390975i | ||||
\(874\) | −1.32502e15 | − | 1.02550e16i | −0.0878841 | − | 0.680181i | ||||
\(875\) | 2.54235e16 | 1.67568 | ||||||||
\(876\) | 8.06074e15 | − | 8.84590e15i | 0.527962 | − | 0.579388i | ||||
\(877\) | −2.46990e16 | −1.60761 | −0.803806 | − | 0.594891i | \(-0.797195\pi\) | ||||
−0.803806 | + | 0.594891i | \(0.797195\pi\) | |||||||
\(878\) | −1.04739e15 | − | 8.10627e15i | −0.0677465 | − | 0.524326i | ||||
\(879\) | −7.77976e15 | − | 1.20098e16i | −0.500066 | − | 0.771965i | ||||
\(880\) | −6.53997e15 | − | 1.15834e16i | −0.417754 | − | 0.739917i | ||||
\(881\) | 9.03879e15i | 0.573776i | 0.957964 | + | 0.286888i | \(0.0926208\pi\) | ||||
−0.957964 | + | 0.286888i | \(0.907379\pi\) | |||||||
\(882\) | −2.17786e15 | + | 7.22764e15i | −0.137389 | + | 0.455952i | ||||
\(883\) | 1.32723e16i | 0.832074i | 0.909348 | + | 0.416037i | \(0.136581\pi\) | ||||
−0.909348 | + | 0.416037i | \(0.863419\pi\) | |||||||
\(884\) | 1.43227e15 | + | 5.45000e15i | 0.0892352 | + | 0.339554i | ||||
\(885\) | 1.58390e16 | + | 2.44510e16i | 0.980706 | + | 1.51394i | ||||
\(886\) | −2.85820e16 | + | 3.69299e15i | −1.75876 | + | 0.227244i | ||||
\(887\) | 2.48889e16 | 1.52204 | 0.761020 | − | 0.648729i | \(-0.224699\pi\) | ||||
0.761020 | + | 0.648729i | \(0.224699\pi\) | |||||||
\(888\) | −8.95984e15 | + | 1.28060e16i | −0.544539 | + | 0.778294i | ||||
\(889\) | 1.49526e16 | 0.903145 | ||||||||
\(890\) | 1.99430e16 | − | 2.57678e15i | 1.19714 | − | 0.154679i | ||||
\(891\) | 5.23649e15 | + | 5.86947e15i | 0.312401 | + | 0.350164i | ||||
\(892\) | −3.17459e15 | − | 1.20798e16i | −0.188227 | − | 0.716232i | ||||
\(893\) | 2.74167e15i | 0.161559i | ||||||||
\(894\) | −1.68307e15 | − | 1.98484e15i | −0.0985705 | − | 0.116244i | ||||
\(895\) | − | 8.95619e15i | − | 0.521311i | ||||||
\(896\) | −9.79569e15 | − | 7.78191e15i | −0.566684 | − | 0.450186i | ||||
\(897\) | 1.27620e16 | − | 8.26699e15i | 0.733769 | − | 0.475323i | ||||
\(898\) | 4.20066e15 | + | 3.25111e16i | 0.240048 | + | 1.85785i | ||||
\(899\) | −2.12056e16 | −1.20440 | ||||||||
\(900\) | −6.59738e15 | + | 3.98233e16i | −0.372424 | + | 2.24803i | ||||
\(901\) | 9.72454e15 | 0.545610 | ||||||||
\(902\) | 4.92526e13 | + | 3.81191e14i | 0.00274658 | + | 0.0212572i | ||||
\(903\) | 1.13182e16 | − | 7.33175e15i | 0.627329 | − | 0.406373i | ||||
\(904\) | −7.70087e15 | − | 1.89776e16i | −0.424242 | − | 1.04548i | ||||
\(905\) | − | 1.59464e16i | − | 0.873162i | ||||||
\(906\) | 2.31707e16 | + | 2.73252e16i | 1.26106 | + | 1.48716i | ||||
\(907\) | 2.71352e16i | 1.46789i | 0.679211 | + | 0.733943i | \(0.262322\pi\) | ||||
−0.679211 | + | 0.733943i | \(0.737678\pi\) | |||||||
\(908\) | 1.63299e14 | − | 4.29151e13i | 0.00878031 | − | 0.00230748i | ||||
\(909\) | −6.08388e15 | − | 2.72541e15i | −0.325147 | − | 0.145656i | ||||
\(910\) | −1.78531e16 | + | 2.30675e15i | −0.948390 | + | 0.122539i | ||||
\(911\) | 2.87458e15 | 0.151783 | 0.0758916 | − | 0.997116i | \(-0.475820\pi\) | ||||
0.0758916 | + | 0.997116i | \(0.475820\pi\) | |||||||
\(912\) | −9.66417e15 | − | 5.05587e15i | −0.507216 | − | 0.265353i | ||||
\(913\) | 3.80371e15 | 0.198435 | ||||||||
\(914\) | −1.40110e16 | + | 1.81031e15i | −0.726547 | + | 0.0938750i | ||||
\(915\) | −8.35797e15 | − | 1.29024e16i | −0.430809 | − | 0.665051i | ||||
\(916\) | 1.18989e16 | − | 3.12704e15i | 0.609651 | − | 0.160217i | ||||
\(917\) | 7.06640e15i | 0.359888i | ||||||||
\(918\) | −9.12796e15 | + | 2.64600e15i | −0.462103 | + | 0.133954i | ||||
\(919\) | − | 9.25693e15i | − | 0.465834i | −0.972497 | − | 0.232917i | \(-0.925173\pi\) | ||
0.972497 | − | 0.232917i | \(-0.0748271\pi\) | |||||||
\(920\) | −1.63070e16 | − | 4.01862e16i | −0.815721 | − | 2.01022i | ||||
\(921\) | 3.66592e15 | + | 5.65918e15i | 0.182287 | + | 0.281401i | ||||
\(922\) | −1.09607e15 | − | 8.48306e15i | −0.0541775 | − | 0.419308i | ||||
\(923\) | 2.12591e16 | 1.04456 | ||||||||
\(924\) | 5.13958e15 | + | 4.68339e15i | 0.251034 | + | 0.228752i | ||||
\(925\) | 4.45788e16 | 2.16446 | ||||||||
\(926\) | 1.21559e15 | + | 9.40812e15i | 0.0586716 | + | 0.454090i | ||||
\(927\) | −2.13926e16 | − | 9.58328e15i | −1.02642 | − | 0.459807i | ||||
\(928\) | 1.10421e16 | + | 1.47543e16i | 0.526671 | + | 0.703730i | ||||
\(929\) | 2.88037e16i | 1.36572i | 0.730550 | + | 0.682859i | \(0.239264\pi\) | ||||
−0.730550 | + | 0.682859i | \(0.760736\pi\) | |||||||
\(930\) | 4.01468e16 | − | 3.40430e16i | 1.89232 | − | 1.60462i | ||||
\(931\) | 5.81754e15i | 0.272594i | ||||||||
\(932\) | −3.49016e15 | − | 1.32806e16i | −0.162577 | − | 0.618630i | ||||
\(933\) | −2.82107e16 | + | 1.82744e16i | −1.30637 | + | 0.846242i | ||||
\(934\) | 2.34009e16 | − | 3.02356e15i | 1.07727 | − | 0.139191i | ||||
\(935\) | −8.93286e15 | −0.408815 | ||||||||
\(936\) | 5.72144e14 | − | 1.60285e16i | 0.0260308 | − | 0.729247i | ||||
\(937\) | −1.10897e16 | −0.501594 | −0.250797 | − | 0.968040i | \(-0.580693\pi\) | ||||
−0.250797 | + | 0.968040i | \(0.580693\pi\) | |||||||
\(938\) | 2.70349e15 | − | 3.49310e14i | 0.121565 | − | 0.0157071i | ||||
\(939\) | −1.28756e16 | + | 8.34059e15i | −0.575581 | + | 0.372852i | ||||
\(940\) | 2.92271e15 | + | 1.11213e16i | 0.129892 | + | 0.494259i | ||||
\(941\) | 2.37996e16i | 1.05154i | 0.850626 | + | 0.525771i | \(0.176223\pi\) | ||||
−0.850626 | + | 0.525771i | \(0.823777\pi\) | |||||||
\(942\) | 1.52770e16 | − | 1.29544e16i | 0.671056 | − | 0.569031i | ||||
\(943\) | 1.25312e15i | 0.0547241i | ||||||||
\(944\) | −1.99806e16 | + | 1.12810e16i | −0.867485 | + | 0.489779i | ||||
\(945\) | −4.64652e15 | − | 3.00026e16i | −0.200564 | − | 1.29504i | ||||
\(946\) | 1.44714e15 | + | 1.12002e16i | 0.0621025 | + | 0.480643i | ||||
\(947\) | 1.42613e16 | 0.608461 | 0.304231 | − | 0.952598i | \(-0.401601\pi\) | ||||
0.304231 | + | 0.952598i | \(0.401601\pi\) | |||||||
\(948\) | −1.47722e16 | − | 1.34611e16i | −0.626615 | − | 0.570997i | ||||
\(949\) | 1.35629e16 | 0.571990 | ||||||||
\(950\) | 3.98637e15 | + | 3.08526e16i | 0.167147 | + | 1.29364i | ||||
\(951\) | 9.67589e15 | + | 1.49369e16i | 0.403365 | + | 0.622685i | ||||
\(952\) | −7.78475e15 | + | 3.15895e15i | −0.322657 | + | 0.130930i | ||||
\(953\) | − | 2.70315e15i | − | 0.111393i | −0.998448 | − | 0.0556966i | \(-0.982262\pi\) | ||
0.998448 | − | 0.0556966i | \(-0.0177380\pi\) | |||||||
\(954\) | −2.65013e16 | − | 7.98547e15i | −1.08580 | − | 0.327178i | ||||
\(955\) | 1.68742e15i | 0.0687393i | ||||||||
\(956\) | −4.27540e16 | + | 1.12358e16i | −1.73164 | + | 0.455078i | ||||
\(957\) | −5.56877e15 | − | 8.59666e15i | −0.224256 | − | 0.346190i | ||||
\(958\) | −9.60269e15 | + | 1.24073e15i | −0.384488 | + | 0.0496785i | ||||
\(959\) | −2.72194e16 | −1.08362 | ||||||||
\(960\) | −4.45916e16 | − | 1.02064e16i | −1.76507 | − | 0.403999i | ||||
\(961\) | −2.22957e16 | −0.877491 | ||||||||
\(962\) | −1.75665e16 | + | 2.26972e15i | −0.687421 | + | 0.0888196i | ||||
\(963\) | −1.46138e14 | + | 3.26221e14i | −0.00568614 | + | 0.0126931i | ||||
\(964\) | 4.28480e16 | − | 1.12605e16i | 1.65770 | − | 0.435647i | ||||
\(965\) | − | 7.65593e16i | − | 2.94508i | ||||||
\(966\) | 1.46617e16 | + | 1.72905e16i | 0.560803 | + | 0.661353i | ||||
\(967\) | − | 5.03785e16i | − | 1.91602i | −0.286738 | − | 0.958009i | \(-0.592571\pi\) | ||
0.286738 | − | 0.958009i | \(-0.407429\pi\) | |||||||
\(968\) | 1.91070e16 | − | 7.75337e15i | 0.722566 | − | 0.293208i | ||||
\(969\) | −6.14722e15 | + | 3.98207e15i | −0.231152 | + | 0.149737i | ||||
\(970\) | −2.65856e15 | − | 2.05760e16i | −0.0994037 | − | 0.769337i | ||||
\(971\) | 2.86569e16 | 1.06543 | 0.532713 | − | 0.846296i | \(-0.321173\pi\) | ||||
0.532713 | + | 0.846296i | \(0.321173\pi\) | |||||||
\(972\) | 2.70483e16 | + | 2.84715e14i | 0.999945 | + | 0.0105256i | ||||
\(973\) | 2.41629e16 | 0.888236 | ||||||||
\(974\) | −4.23050e15 | − | 3.27421e16i | −0.154639 | − | 1.19683i | ||||
\(975\) | −3.83948e16 | + | 2.48715e16i | −1.39555 | + | 0.904017i | ||||
\(976\) | 1.05434e16 | − | 5.95278e15i | 0.381073 | − | 0.215152i | ||||
\(977\) | − | 2.46762e16i | − | 0.886866i | −0.896307 | − | 0.443433i | \(-0.853760\pi\) | ||
0.896307 | − | 0.443433i | \(-0.146240\pi\) | |||||||
\(978\) | 1.01726e16 | + | 1.19965e16i | 0.363554 | + | 0.428738i | ||||
\(979\) | − | 8.80269e15i | − | 0.312831i | ||||||
\(980\) | 6.20168e15 | + | 2.35984e16i | 0.219162 | + | 0.833947i | ||||
\(981\) | −9.22952e15 | + | 2.06029e16i | −0.324339 | + | 0.724018i | ||||
\(982\) | −2.28518e16 | + | 2.95261e15i | −0.798560 | + | 0.103180i | ||||
\(983\) | 1.93957e16 | 0.674001 | 0.337000 | − | 0.941505i | \(-0.390588\pi\) | ||||
0.337000 | + | 0.941505i | \(0.390588\pi\) | |||||||
\(984\) | 1.08301e15 | + | 7.57738e14i | 0.0374249 | + | 0.0261846i | ||||
\(985\) | −5.34080e16 | −1.83530 | ||||||||
\(986\) | 1.22735e16 | − | 1.58583e15i | 0.419418 | − | 0.0541917i | ||||
\(987\) | −3.26796e15 | − | 5.04483e15i | −0.111053 | − | 0.171436i | ||||
\(988\) | −3.14170e15 | − | 1.19547e16i | −0.106170 | − | 0.403993i | ||||
\(989\) | 3.68192e16i | 1.23736i | ||||||||
\(990\) | 2.43438e16 | + | 7.33537e15i | 0.813571 | + | 0.245148i | ||||
\(991\) | 2.05308e16i | 0.682341i | 0.940001 | + | 0.341170i | \(0.110823\pi\) | ||||
−0.940001 | + | 0.341170i | \(0.889177\pi\) | |||||||
\(992\) | 2.48405e16 | + | 3.31915e16i | 0.821005 | + | 1.09702i | ||||
\(993\) | −1.54881e16 | − | 2.39093e16i | −0.509069 | − | 0.785863i | ||||
\(994\) | 4.06145e15 | + | 3.14337e16i | 0.132757 | + | 1.02747i | ||||
\(995\) | 3.30700e16 | 1.07500 | ||||||||
\(996\) | 8.81031e15 | − | 9.66847e15i | 0.284816 | − | 0.312559i | ||||
\(997\) | −3.27724e16 | −1.05362 | −0.526812 | − | 0.849982i | \(-0.676613\pi\) | ||||
−0.526812 | + | 0.849982i | \(0.676613\pi\) | |||||||
\(998\) | −3.81677e15 | − | 2.95399e16i | −0.122033 | − | 0.944477i | ||||
\(999\) | −4.57192e15 | − | 2.95209e16i | −0.145375 | − | 0.938686i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 12.12.b.a.11.2 | yes | 20 | |
3.2 | odd | 2 | inner | 12.12.b.a.11.19 | yes | 20 | |
4.3 | odd | 2 | inner | 12.12.b.a.11.20 | yes | 20 | |
8.3 | odd | 2 | 192.12.c.d.191.6 | 20 | |||
8.5 | even | 2 | 192.12.c.d.191.15 | 20 | |||
12.11 | even | 2 | inner | 12.12.b.a.11.1 | ✓ | 20 | |
24.5 | odd | 2 | 192.12.c.d.191.5 | 20 | |||
24.11 | even | 2 | 192.12.c.d.191.16 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.12.b.a.11.1 | ✓ | 20 | 12.11 | even | 2 | inner | |
12.12.b.a.11.2 | yes | 20 | 1.1 | even | 1 | trivial | |
12.12.b.a.11.19 | yes | 20 | 3.2 | odd | 2 | inner | |
12.12.b.a.11.20 | yes | 20 | 4.3 | odd | 2 | inner | |
192.12.c.d.191.5 | 20 | 24.5 | odd | 2 | |||
192.12.c.d.191.6 | 20 | 8.3 | odd | 2 | |||
192.12.c.d.191.15 | 20 | 8.5 | even | 2 | |||
192.12.c.d.191.16 | 20 | 24.11 | even | 2 |