Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,13,Mod(3,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 13, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.3");
S:= CuspForms(chi, 13);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 13 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.d (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(12.7959134419\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{6})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 527434 x^{14} - 31307480 x^{13} + 193554267483 x^{12} - 12267558721140 x^{11} + \cdots + 73\!\cdots\!36 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{48}\cdot 3^{8}\cdot 7^{7} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Root | \(127.460 + 220.767i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.3 |
Dual form | 14.13.d.a.5.3 |
$q$-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 \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −22.6274 | − | 39.1918i | −0.353553 | − | 0.612372i | ||||
\(3\) | 702.607 | + | 405.650i | 0.963796 | + | 0.556448i | 0.897339 | − | 0.441342i | \(-0.145497\pi\) |
0.0664566 | + | 0.997789i | \(0.478831\pi\) | |||||||
\(4\) | −1024.00 | + | 1773.62i | −0.250000 | + | 0.433013i | ||||
\(5\) | −18305.2 | + | 10568.5i | −1.17153 | + | 0.676385i | −0.954041 | − | 0.299677i | \(-0.903121\pi\) |
−0.217492 | + | 0.976062i | \(0.569788\pi\) | |||||||
\(6\) | − | 36715.3i | − | 0.786936i | ||||||
\(7\) | −9080.55 | − | 117298.i | −0.0771834 | − | 0.997017i | ||||
\(8\) | 92681.9 | 0.353553 | ||||||||
\(9\) | 63384.0 | + | 109784.i | 0.119268 | + | 0.206579i | ||||
\(10\) | 828399. | + | 478276.i | 0.828399 | + | 0.478276i | ||||
\(11\) | 651539. | − | 1.12850e6i | 0.367777 | − | 0.637008i | −0.621441 | − | 0.783461i | \(-0.713452\pi\) |
0.989218 | + | 0.146453i | \(0.0467857\pi\) | |||||||
\(12\) | −1.43894e6 | + | 830772.i | −0.481898 | + | 0.278224i | ||||
\(13\) | − | 7.09849e6i | − | 1.47064i | −0.677720 | − | 0.735320i | \(-0.737032\pi\) | ||
0.677720 | − | 0.735320i | \(-0.262968\pi\) | |||||||
\(14\) | −4.39166e6 | + | 3.01003e6i | −0.583257 | + | 0.399764i | ||||
\(15\) | −1.71485e7 | −1.50549 | ||||||||
\(16\) | −2.09715e6 | − | 3.63237e6i | −0.125000 | − | 0.216506i | ||||
\(17\) | −2.79240e7 | − | 1.61219e7i | −1.15687 | − | 0.667919i | −0.206318 | − | 0.978485i | \(-0.566148\pi\) |
−0.950552 | + | 0.310566i | \(0.899481\pi\) | |||||||
\(18\) | 2.86843e6 | − | 4.96827e6i | 0.0843353 | − | 0.146073i | ||||
\(19\) | −2.32303e7 | + | 1.34120e7i | −0.493780 | + | 0.285084i | −0.726141 | − | 0.687545i | \(-0.758688\pi\) |
0.232361 | + | 0.972630i | \(0.425355\pi\) | |||||||
\(20\) | − | 4.32886e7i | − | 0.676385i | ||||||
\(21\) | 4.12019e7 | − | 8.60980e7i | 0.480399 | − | 1.00387i | ||||
\(22\) | −5.89706e7 | −0.520115 | ||||||||
\(23\) | 6.22412e7 | + | 1.07805e8i | 0.420447 | + | 0.728235i | 0.995983 | − | 0.0895411i | \(-0.0285400\pi\) |
−0.575536 | + | 0.817776i | \(0.695207\pi\) | |||||||
\(24\) | 6.51190e7 | + | 3.75965e7i | 0.340753 | + | 0.196734i | ||||
\(25\) | 1.01317e8 | − | 1.75486e8i | 0.414993 | − | 0.718789i | ||||
\(26\) | −2.78203e8 | + | 1.60621e8i | −0.900579 | + | 0.519950i | ||||
\(27\) | − | 3.28312e8i | − | 0.847429i | ||||||
\(28\) | 2.17341e8 | + | 1.04008e8i | 0.451017 | + | 0.215833i | ||||
\(29\) | −7.52793e8 | −1.26557 | −0.632787 | − | 0.774326i | \(-0.718089\pi\) | ||||
−0.632787 | + | 0.774326i | \(0.718089\pi\) | |||||||
\(30\) | 3.88026e8 | + | 6.72081e8i | 0.532272 | + | 0.921921i | ||||
\(31\) | 9.46508e8 | + | 5.46467e8i | 1.06648 | + | 0.615735i | 0.927219 | − | 0.374520i | \(-0.122193\pi\) |
0.139265 | + | 0.990255i | \(0.455526\pi\) | |||||||
\(32\) | −9.49063e7 | + | 1.64382e8i | −0.0883883 | + | 0.153093i | ||||
\(33\) | 9.15552e8 | − | 5.28594e8i | 0.708923 | − | 0.409297i | ||||
\(34\) | 1.45919e9i | 0.944580i | ||||||||
\(35\) | 1.40589e9 | + | 2.05120e9i | 0.764790 | + | 1.11583i | ||||
\(36\) | −2.59621e8 | −0.119268 | ||||||||
\(37\) | −1.93585e9 | − | 3.35299e9i | −0.754503 | − | 1.30684i | −0.945621 | − | 0.325271i | \(-0.894544\pi\) |
0.191117 | − | 0.981567i | \(-0.438789\pi\) | |||||||
\(38\) | 1.05129e9 | + | 6.06960e8i | 0.349156 | + | 0.201585i | ||||
\(39\) | 2.87951e9 | − | 4.98745e9i | 0.818334 | − | 1.41740i | ||||
\(40\) | −1.69656e9 | + | 9.79510e8i | −0.414199 | + | 0.239138i | ||||
\(41\) | 2.55800e9i | 0.538516i | 0.963068 | + | 0.269258i | \(0.0867784\pi\) | ||||
−0.963068 | + | 0.269258i | \(0.913222\pi\) | |||||||
\(42\) | −4.30663e9 | + | 3.33395e8i | −0.784588 | + | 0.0607384i | ||||
\(43\) | −4.36133e9 | −0.689934 | −0.344967 | − | 0.938615i | \(-0.612110\pi\) | ||||
−0.344967 | + | 0.938615i | \(0.612110\pi\) | |||||||
\(44\) | 1.33435e9 | + | 2.31116e9i | 0.183888 | + | 0.318504i | ||||
\(45\) | −2.32051e9 | − | 1.33975e9i | −0.279453 | − | 0.161342i | ||||
\(46\) | 2.81672e9 | − | 4.87869e9i | 0.297301 | − | 0.514940i | ||||
\(47\) | 8.04169e9 | − | 4.64287e9i | 0.746037 | − | 0.430725i | −0.0782231 | − | 0.996936i | \(-0.524925\pi\) |
0.824260 | + | 0.566211i | \(0.191591\pi\) | |||||||
\(48\) | − | 3.40284e9i | − | 0.278224i | ||||||
\(49\) | −1.36764e10 | + | 2.13026e9i | −0.988085 | + | 0.153906i | ||||
\(50\) | −9.17013e9 | −0.586888 | ||||||||
\(51\) | −1.30797e10 | − | 2.26548e10i | −0.743324 | − | 1.28747i | ||||
\(52\) | 1.25900e10 | + | 7.26886e9i | 0.636805 | + | 0.367660i | ||||
\(53\) | −1.09179e8 | + | 1.89104e8i | −0.00492590 | + | 0.00853191i | −0.868478 | − | 0.495728i | \(-0.834901\pi\) |
0.863552 | + | 0.504260i | \(0.168235\pi\) | |||||||
\(54\) | −1.28671e10 | + | 7.42884e9i | −0.518942 | + | 0.299612i | ||||
\(55\) | 2.75432e10i | 0.995034i | ||||||||
\(56\) | −8.41602e8 | − | 1.08714e10i | −0.0272884 | − | 0.352499i | ||||
\(57\) | −2.17624e10 | −0.634538 | ||||||||
\(58\) | 1.70338e10 | + | 2.95033e10i | 0.447448 | + | 0.775003i | ||||
\(59\) | 5.45224e10 | + | 3.14785e10i | 1.29260 | + | 0.746280i | 0.979114 | − | 0.203314i | \(-0.0651712\pi\) |
0.313482 | + | 0.949594i | \(0.398505\pi\) | |||||||
\(60\) | 1.75600e10 | − | 3.04149e10i | 0.376373 | − | 0.651897i | ||||
\(61\) | 4.19753e10 | − | 2.42344e10i | 0.814732 | − | 0.470386i | −0.0338645 | − | 0.999426i | \(-0.510781\pi\) |
0.848596 | + | 0.529041i | \(0.177448\pi\) | |||||||
\(62\) | − | 4.94605e10i | − | 0.870780i | ||||||
\(63\) | 1.23019e10 | − | 8.43172e9i | 0.196757 | − | 0.134857i | ||||
\(64\) | 8.58993e9 | 0.125000 | ||||||||
\(65\) | 7.50205e10 | + | 1.29939e11i | 0.994718 | + | 1.72290i | ||||
\(66\) | −4.14331e10 | − | 2.39214e10i | −0.501284 | − | 0.289417i | ||||
\(67\) | −5.49220e10 | + | 9.51277e10i | −0.607152 | + | 1.05162i | 0.384556 | + | 0.923102i | \(0.374355\pi\) |
−0.991707 | + | 0.128516i | \(0.958979\pi\) | |||||||
\(68\) | 5.71884e10 | − | 3.30177e10i | 0.578435 | − | 0.333959i | ||||
\(69\) | 1.00993e11i | 0.935826i | ||||||||
\(70\) | 4.85786e10 | − | 1.01513e11i | 0.412911 | − | 0.862843i | ||||
\(71\) | −7.43754e10 | −0.580603 | −0.290302 | − | 0.956935i | \(-0.593756\pi\) | ||||
−0.290302 | + | 0.956935i | \(0.593756\pi\) | |||||||
\(72\) | 5.87455e9 | + | 1.01750e10i | 0.0421677 | + | 0.0730366i | ||||
\(73\) | −2.26320e11 | − | 1.30666e11i | −1.49550 | − | 0.863427i | −0.495512 | − | 0.868601i | \(-0.665020\pi\) |
−0.999987 | + | 0.00517437i | \(0.998353\pi\) | |||||||
\(74\) | −8.76065e10 | + | 1.51739e11i | −0.533514 | + | 0.924074i | ||||
\(75\) | 1.42372e11 | − | 8.21982e10i | 0.799937 | − | 0.461844i | ||||
\(76\) | − | 5.49357e10i | − | 0.285084i | ||||||
\(77\) | −1.38287e11 | − | 6.61769e10i | −0.663494 | − | 0.317513i | ||||
\(78\) | −2.60623e11 | −1.15730 | ||||||||
\(79\) | −1.20639e11 | − | 2.08953e11i | −0.496279 | − | 0.859580i | 0.503712 | − | 0.863871i | \(-0.331967\pi\) |
−0.999991 | + | 0.00429190i | \(0.998634\pi\) | |||||||
\(80\) | 7.67776e10 | + | 4.43276e10i | 0.292883 | + | 0.169096i | ||||
\(81\) | 1.66865e11 | − | 2.89018e11i | 0.590818 | − | 1.02333i | ||||
\(82\) | 1.00253e11 | − | 5.78810e10i | 0.329772 | − | 0.190394i | ||||
\(83\) | 2.09983e11i | 0.642268i | 0.947034 | + | 0.321134i | \(0.104064\pi\) | ||||
−0.947034 | + | 0.321134i | \(0.895936\pi\) | |||||||
\(84\) | 1.10514e11 | + | 1.61241e11i | 0.314588 | + | 0.458986i | ||||
\(85\) | 6.81540e11 | 1.80708 | ||||||||
\(86\) | 9.86855e10 | + | 1.70928e11i | 0.243929 | + | 0.422497i | ||||
\(87\) | −5.28918e11 | − | 3.05371e11i | −1.21975 | − | 0.704226i | ||||
\(88\) | 6.03859e10 | − | 1.04591e11i | 0.130029 | − | 0.225216i | ||||
\(89\) | 1.79050e10 | − | 1.03374e10i | 0.0360275 | − | 0.0208005i | −0.481878 | − | 0.876238i | \(-0.660045\pi\) |
0.517906 | + | 0.855438i | \(0.326712\pi\) | |||||||
\(90\) | 1.21260e11i | 0.228173i | ||||||||
\(91\) | −8.32640e11 | + | 6.44582e10i | −1.46625 | + | 0.113509i | ||||
\(92\) | −2.54940e11 | −0.420447 | ||||||||
\(93\) | 4.43349e11 | + | 7.67903e11i | 0.685248 | + | 1.18689i | ||||
\(94\) | −3.63926e11 | − | 2.10113e11i | −0.527528 | − | 0.304568i | ||||
\(95\) | 2.83491e11 | − | 4.91020e11i | 0.385653 | − | 0.667971i | ||||
\(96\) | −1.33364e11 | + | 7.69975e10i | −0.170377 | + | 0.0983670i | ||||
\(97\) | − | 4.74911e11i | − | 0.570140i | −0.958507 | − | 0.285070i | \(-0.907983\pi\) | ||
0.958507 | − | 0.285070i | \(-0.0920169\pi\) | |||||||
\(98\) | 3.92950e11 | + | 4.87800e11i | 0.443589 | + | 0.550662i | ||||
\(99\) | 1.65189e11 | 0.175456 | ||||||||
\(100\) | 2.07496e11 | + | 3.59394e11i | 0.207496 | + | 0.359394i | ||||
\(101\) | 9.97000e11 | + | 5.75618e11i | 0.939219 | + | 0.542259i | 0.889715 | − | 0.456515i | \(-0.150903\pi\) |
0.0495038 | + | 0.998774i | \(0.484236\pi\) | |||||||
\(102\) | −5.91921e11 | + | 1.02524e12i | −0.525609 | + | 0.910382i | ||||
\(103\) | 8.21363e11 | − | 4.74214e11i | 0.687878 | − | 0.397147i | −0.114938 | − | 0.993373i | \(-0.536667\pi\) |
0.802817 | + | 0.596226i | \(0.203334\pi\) | |||||||
\(104\) | − | 6.57902e11i | − | 0.519950i | ||||||
\(105\) | 1.55718e11 | + | 2.01148e12i | 0.116199 | + | 1.50100i | ||||
\(106\) | 9.88179e9 | 0.00696628 | ||||||||
\(107\) | 1.66978e11 | + | 2.89214e11i | 0.111264 | + | 0.192715i | 0.916280 | − | 0.400538i | \(-0.131177\pi\) |
−0.805016 | + | 0.593253i | \(0.797843\pi\) | |||||||
\(108\) | 5.82300e11 | + | 3.36191e11i | 0.366948 | + | 0.211857i | ||||
\(109\) | 3.67785e11 | − | 6.37022e11i | 0.219298 | − | 0.379835i | −0.735295 | − | 0.677747i | \(-0.762957\pi\) |
0.954594 | + | 0.297911i | \(0.0962899\pi\) | |||||||
\(110\) | 1.07947e12 | − | 6.23231e11i | 0.609332 | − | 0.351798i | ||||
\(111\) | − | 3.14111e12i | − | 1.67937i | ||||||
\(112\) | −4.07027e11 | + | 2.78976e11i | −0.206213 | + | 0.141338i | ||||
\(113\) | −2.66369e12 | −1.27942 | −0.639709 | − | 0.768617i | \(-0.720945\pi\) | ||||
−0.639709 | + | 0.768617i | \(0.720945\pi\) | |||||||
\(114\) | 4.92427e11 | + | 8.52908e11i | 0.224343 | + | 0.388574i | ||||
\(115\) | −2.27868e12 | − | 1.31559e12i | −0.985134 | − | 0.568768i | ||||
\(116\) | 7.70860e11 | − | 1.33517e12i | 0.316394 | − | 0.548010i | ||||
\(117\) | 7.79303e11 | − | 4.49931e11i | 0.303803 | − | 0.175400i | ||||
\(118\) | − | 2.84911e12i | − | 1.05540i | ||||||
\(119\) | −1.63751e12 | + | 3.42183e12i | −0.576635 | + | 1.20497i | ||||
\(120\) | −1.58935e12 | −0.532272 | ||||||||
\(121\) | 7.20208e11 | + | 1.24744e12i | 0.229481 | + | 0.397472i | ||||
\(122\) | −1.89958e12 | − | 1.09673e12i | −0.576102 | − | 0.332613i | ||||
\(123\) | −1.03766e12 | + | 1.79727e12i | −0.299656 | + | 0.519019i | ||||
\(124\) | −1.93845e12 | + | 1.11916e12i | −0.533242 | + | 0.307867i | ||||
\(125\) | − | 8.77343e11i | − | 0.229990i | ||||||
\(126\) | −6.08815e11 | − | 2.91347e11i | −0.152147 | − | 0.0728094i | ||||
\(127\) | −2.69168e11 | −0.0641506 | −0.0320753 | − | 0.999485i | \(-0.510212\pi\) | ||||
−0.0320753 | + | 0.999485i | \(0.510212\pi\) | |||||||
\(128\) | −1.94368e11 | − | 3.36655e11i | −0.0441942 | − | 0.0765466i | ||||
\(129\) | −3.06430e12 | − | 1.76917e12i | −0.664956 | − | 0.383912i | ||||
\(130\) | 3.39504e12 | − | 5.88038e12i | 0.703372 | − | 1.21828i | ||||
\(131\) | 4.16356e12 | − | 2.40383e12i | 0.823829 | − | 0.475638i | −0.0279059 | − | 0.999611i | \(-0.508884\pi\) |
0.851735 | + | 0.523972i | \(0.175551\pi\) | |||||||
\(132\) | 2.16512e12i | 0.409297i | ||||||||
\(133\) | 1.78415e12 | + | 2.60308e12i | 0.322345 | + | 0.470304i | ||||
\(134\) | 4.97097e12 | 0.858642 | ||||||||
\(135\) | 3.46976e12 | + | 6.00981e12i | 0.573188 | + | 0.992791i | ||||
\(136\) | −2.58805e12 | − | 1.49421e12i | −0.409015 | − | 0.236145i | ||||
\(137\) | −5.08937e12 | + | 8.81505e12i | −0.769734 | + | 1.33322i | 0.167973 | + | 0.985792i | \(0.446278\pi\) |
−0.937707 | + | 0.347427i | \(0.887056\pi\) | |||||||
\(138\) | 3.95809e12 | − | 2.28520e12i | 0.573074 | − | 0.330865i | ||||
\(139\) | 3.81539e11i | 0.0528994i | 0.999650 | + | 0.0264497i | \(0.00842018\pi\) | ||||
−0.999650 | + | 0.0264497i | \(0.991580\pi\) | |||||||
\(140\) | −5.07767e12 | + | 3.93084e11i | −0.674367 | + | 0.0522057i | ||||
\(141\) | 7.53354e12 | 0.958703 | ||||||||
\(142\) | 1.68292e12 | + | 2.91491e12i | 0.205274 | + | 0.355545i | ||||
\(143\) | −8.01064e12 | − | 4.62495e12i | −0.936809 | − | 0.540867i | ||||
\(144\) | 2.65852e11 | − | 4.60469e11i | 0.0298170 | − | 0.0516446i | ||||
\(145\) | 1.37800e13 | − | 7.95590e12i | 1.48266 | − | 0.856015i | ||||
\(146\) | 1.18265e13i | 1.22107i | ||||||||
\(147\) | −1.04733e13 | − | 4.05109e12i | −1.03795 | − | 0.401484i | ||||
\(148\) | 7.92924e12 | 0.754503 | ||||||||
\(149\) | 1.01352e13 | + | 1.75546e13i | 0.926218 | + | 1.60426i | 0.789591 | + | 0.613634i | \(0.210293\pi\) |
0.136627 | + | 0.990623i | \(0.456374\pi\) | |||||||
\(150\) | −6.44300e12 | − | 3.71987e12i | −0.565641 | − | 0.326573i | ||||
\(151\) | 9.98191e12 | − | 1.72892e13i | 0.842077 | − | 1.45852i | −0.0460585 | − | 0.998939i | \(-0.514666\pi\) |
0.888136 | − | 0.459582i | \(-0.152001\pi\) | |||||||
\(152\) | −2.15303e12 | + | 1.24305e12i | −0.174578 | + | 0.100793i | ||||
\(153\) | − | 4.08749e12i | − | 0.318646i | ||||||
\(154\) | 5.35485e11 | + | 6.91713e12i | 0.0401442 | + | 0.518563i | ||||
\(155\) | −2.31014e13 | −1.66589 | ||||||||
\(156\) | 5.89723e12 | + | 1.02143e13i | 0.409167 | + | 0.708698i | ||||
\(157\) | 6.85383e12 | + | 3.95706e12i | 0.457652 | + | 0.264226i | 0.711057 | − | 0.703135i | \(-0.248217\pi\) |
−0.253404 | + | 0.967360i | \(0.581550\pi\) | |||||||
\(158\) | −5.45950e12 | + | 9.45613e12i | −0.350922 | + | 0.607815i | ||||
\(159\) | −1.53420e11 | + | 8.85774e10i | −0.00949512 | + | 0.00548201i | ||||
\(160\) | − | 4.01207e12i | − | 0.239138i | ||||||
\(161\) | 1.20801e13 | − | 8.27970e12i | 0.693611 | − | 0.475400i | ||||
\(162\) | −1.51029e13 | −0.835543 | ||||||||
\(163\) | −1.22758e13 | − | 2.12623e13i | −0.654521 | − | 1.13366i | −0.982014 | − | 0.188810i | \(-0.939537\pi\) |
0.327493 | − | 0.944854i | \(-0.393796\pi\) | |||||||
\(164\) | −4.53693e12 | − | 2.61940e12i | −0.233184 | − | 0.134629i | ||||
\(165\) | −1.11729e13 | + | 1.93520e13i | −0.553685 | + | 0.959010i | ||||
\(166\) | 8.22964e12 | − | 4.75138e12i | 0.393307 | − | 0.227076i | ||||
\(167\) | − | 2.03607e13i | − | 0.938629i | −0.883031 | − | 0.469315i | \(-0.844501\pi\) | ||
0.883031 | − | 0.469315i | \(-0.155499\pi\) | |||||||
\(168\) | 3.81867e12 | − | 7.97972e12i | 0.169847 | − | 0.354921i | ||||
\(169\) | −2.70905e13 | −1.16278 | ||||||||
\(170\) | −1.54215e13 | − | 2.67108e13i | −0.638899 | − | 1.10661i | ||||
\(171\) | −2.94486e12 | − | 1.70022e12i | −0.117785 | − | 0.0680030i | ||||
\(172\) | 4.46600e12 | − | 7.73533e12i | 0.172484 | − | 0.298750i | ||||
\(173\) | 1.88719e13 | − | 1.08957e13i | 0.703945 | − | 0.406423i | −0.104870 | − | 0.994486i | \(-0.533443\pi\) |
0.808815 | + | 0.588063i | \(0.200109\pi\) | |||||||
\(174\) | 2.76390e13i | 0.995926i | ||||||||
\(175\) | −2.15041e13 | − | 1.02907e13i | −0.748675 | − | 0.358276i | ||||
\(176\) | −5.46550e12 | −0.183888 | ||||||||
\(177\) | 2.55385e13 | + | 4.42340e13i | 0.830532 | + | 1.43852i | ||||
\(178\) | −8.10287e11 | − | 4.67819e11i | −0.0254753 | − | 0.0147081i | ||||
\(179\) | −5.29449e12 | + | 9.17033e12i | −0.160956 | + | 0.278783i | −0.935212 | − | 0.354089i | \(-0.884791\pi\) |
0.774256 | + | 0.632872i | \(0.218124\pi\) | |||||||
\(180\) | 4.75241e12 | − | 2.74381e12i | 0.139727 | − | 0.0806712i | ||||
\(181\) | − | 5.35655e13i | − | 1.52340i | −0.647930 | − | 0.761700i | \(-0.724365\pi\) | ||
0.647930 | − | 0.761700i | \(-0.275635\pi\) | |||||||
\(182\) | 2.13667e13 | + | 3.11742e13i | 0.587908 | + | 0.857761i | ||||
\(183\) | 3.93229e13 | 1.04698 | ||||||||
\(184\) | 5.76863e12 | + | 9.99156e12i | 0.148650 | + | 0.257470i | ||||
\(185\) | 7.08722e13 | + | 4.09181e13i | 1.76785 | + | 1.02067i | ||||
\(186\) | 2.00637e13 | − | 3.47513e13i | 0.484544 | − | 0.839255i | ||||
\(187\) | −3.63872e13 | + | 2.10081e13i | −0.850939 | + | 0.491290i | ||||
\(188\) | 1.90172e13i | 0.430725i | ||||||||
\(189\) | −3.85103e13 | + | 2.98125e12i | −0.844901 | + | 0.0654075i | ||||
\(190\) | −2.56586e13 | −0.545396 | ||||||||
\(191\) | −3.11402e13 | − | 5.39365e13i | −0.641390 | − | 1.11092i | −0.985123 | − | 0.171852i | \(-0.945025\pi\) |
0.343733 | − | 0.939067i | \(-0.388308\pi\) | |||||||
\(192\) | 6.03535e12 | + | 3.48451e12i | 0.120474 | + | 0.0695560i | ||||
\(193\) | 1.97810e13 | − | 3.42617e13i | 0.382740 | − | 0.662926i | −0.608713 | − | 0.793391i | \(-0.708314\pi\) |
0.991453 | + | 0.130465i | \(0.0416471\pi\) | |||||||
\(194\) | −1.86126e13 | + | 1.07460e13i | −0.349138 | + | 0.201575i | ||||
\(195\) | 1.21728e14i | 2.21403i | ||||||||
\(196\) | 1.02263e13 | − | 2.64381e13i | 0.180378 | − | 0.466330i | ||||
\(197\) | 2.98938e12 | 0.0511427 | 0.0255713 | − | 0.999673i | \(-0.491860\pi\) | ||||
0.0255713 | + | 0.999673i | \(0.491860\pi\) | |||||||
\(198\) | −3.73779e12 | − | 6.47404e12i | −0.0620332 | − | 0.107445i | ||||
\(199\) | 5.16217e13 | + | 2.98038e13i | 0.831216 | + | 0.479903i | 0.854269 | − | 0.519831i | \(-0.174005\pi\) |
−0.0230526 | + | 0.999734i | \(0.507339\pi\) | |||||||
\(200\) | 9.39022e12 | − | 1.62643e13i | 0.146722 | − | 0.254130i | ||||
\(201\) | −7.71771e13 | + | 4.45582e13i | −1.17034 | + | 0.675697i | ||||
\(202\) | − | 5.20990e13i | − | 0.766869i | ||||||
\(203\) | 6.83577e12 | + | 8.83011e13i | 0.0976813 | + | 1.26180i | ||||
\(204\) | 5.35746e13 | 0.743324 | ||||||||
\(205\) | −2.70343e13 | − | 4.68248e13i | −0.364244 | − | 0.630889i | ||||
\(206\) | −3.71706e13 | − | 2.14605e13i | −0.486403 | − | 0.280825i | ||||
\(207\) | −7.89019e12 | + | 1.36662e13i | −0.100292 | + | 0.173711i | ||||
\(208\) | −2.57844e13 | + | 1.48866e13i | −0.318403 | + | 0.183830i | ||||
\(209\) | 3.49539e13i | 0.419389i | ||||||||
\(210\) | 7.53103e13 | − | 5.16175e13i | 0.878089 | − | 0.601841i | ||||
\(211\) | 1.29666e14 | 1.46937 | 0.734684 | − | 0.678409i | \(-0.237330\pi\) | ||||
0.734684 | + | 0.678409i | \(0.237330\pi\) | |||||||
\(212\) | −2.23599e11 | − | 3.87286e11i | −0.00246295 | − | 0.00426595i | ||||
\(213\) | −5.22567e13 | − | 3.01704e13i | −0.559583 | − | 0.323075i | ||||
\(214\) | 7.55654e12 | − | 1.30883e13i | 0.0786756 | − | 0.136270i | ||||
\(215\) | 7.98349e13 | − | 4.60927e13i | 0.808281 | − | 0.466661i | ||||
\(216\) | − | 3.04285e13i | − | 0.299612i | ||||||
\(217\) | 5.55047e13 | − | 1.15986e14i | 0.531583 | − | 1.11083i | ||||
\(218\) | −3.32881e13 | −0.310134 | ||||||||
\(219\) | −1.06009e14 | − | 1.83614e14i | −0.960904 | − | 1.66433i | ||||
\(220\) | −4.88512e13 | − | 2.82042e13i | −0.430863 | − | 0.248759i | ||||
\(221\) | −1.14441e14 | + | 1.98218e14i | −0.982268 | + | 1.70134i | ||||
\(222\) | −1.23106e14 | + | 7.10753e13i | −1.02840 | + | 0.593746i | ||||
\(223\) | − | 1.05020e14i | − | 0.853972i | −0.904258 | − | 0.426986i | \(-0.859575\pi\) | ||
0.904258 | − | 0.426986i | \(-0.140425\pi\) | |||||||
\(224\) | 2.01435e13 | + | 9.63964e12i | 0.159459 | + | 0.0763084i | ||||
\(225\) | 2.56874e13 | 0.197982 | ||||||||
\(226\) | 6.02724e13 | + | 1.04395e14i | 0.452343 | + | 0.783481i | ||||
\(227\) | 6.69859e13 | + | 3.86743e13i | 0.489585 | + | 0.282662i | 0.724402 | − | 0.689378i | \(-0.242116\pi\) |
−0.234817 | + | 0.972040i | \(0.575449\pi\) | |||||||
\(228\) | 2.22847e13 | − | 3.85982e13i | 0.158635 | − | 0.274763i | ||||
\(229\) | −1.53002e14 | + | 8.83360e13i | −1.06093 | + | 0.612526i | −0.925688 | − | 0.378287i | \(-0.876513\pi\) |
−0.135238 | + | 0.990813i | \(0.543180\pi\) | |||||||
\(230\) | 1.19074e14i | 0.804359i | ||||||||
\(231\) | −7.03168e13 | − | 1.02593e14i | −0.462793 | − | 0.675218i | ||||
\(232\) | −6.97703e13 | −0.447448 | ||||||||
\(233\) | −1.16414e14 | − | 2.01635e14i | −0.727562 | − | 1.26017i | −0.957911 | − | 0.287066i | \(-0.907320\pi\) |
0.230349 | − | 0.973108i | \(-0.426013\pi\) | |||||||
\(234\) | −3.52672e13 | − | 2.03616e13i | −0.214821 | − | 0.124027i | ||||
\(235\) | −9.81366e13 | + | 1.69977e14i | −0.582671 | + | 1.00922i | ||||
\(236\) | −1.11662e14 | + | 6.44680e13i | −0.646298 | + | 0.373140i | ||||
\(237\) | − | 1.95749e14i | − | 1.10461i | ||||||
\(238\) | 1.71160e14 | − | 1.32503e13i | 0.941762 | − | 0.0729058i | ||||
\(239\) | 1.20020e14 | 0.643971 | 0.321986 | − | 0.946745i | \(-0.395650\pi\) | ||||
0.321986 | + | 0.946745i | \(0.395650\pi\) | |||||||
\(240\) | 3.59630e13 | + | 6.22897e13i | 0.188186 | + | 0.325948i | ||||
\(241\) | 4.44336e13 | + | 2.56537e13i | 0.226782 | + | 0.130933i | 0.609087 | − | 0.793104i | \(-0.291536\pi\) |
−0.382305 | + | 0.924036i | \(0.624869\pi\) | |||||||
\(242\) | 3.25929e13 | − | 5.64526e13i | 0.162267 | − | 0.281055i | ||||
\(243\) | 8.33779e13 | − | 4.81383e13i | 0.404961 | − | 0.233804i | ||||
\(244\) | 9.92643e13i | 0.470386i | ||||||||
\(245\) | 2.27835e14 | − | 1.83534e14i | 1.05347 | − | 0.848632i | ||||
\(246\) | 9.39179e13 | 0.423777 | ||||||||
\(247\) | 9.52053e13 | + | 1.64900e14i | 0.419256 | + | 0.726173i | ||||
\(248\) | 8.77242e13 | + | 5.06476e13i | 0.377059 | + | 0.217695i | ||||
\(249\) | −8.51799e13 | + | 1.47536e14i | −0.357389 | + | 0.619016i | ||||
\(250\) | −3.43847e13 | + | 1.98520e13i | −0.140840 | + | 0.0813138i | ||||
\(251\) | 1.04293e14i | 0.417073i | 0.978015 | + | 0.208537i | \(0.0668700\pi\) | ||||
−0.978015 | + | 0.208537i | \(0.933130\pi\) | |||||||
\(252\) | 2.35750e12 | + | 3.04530e13i | 0.00920552 | + | 0.118912i | ||||
\(253\) | 1.62210e14 | 0.618522 | ||||||||
\(254\) | 6.09057e12 | + | 1.05492e13i | 0.0226807 | + | 0.0392841i | ||||
\(255\) | 4.78855e14 | + | 2.76467e14i | 1.74166 | + | 1.00555i | ||||
\(256\) | −8.79609e12 | + | 1.52353e13i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | 2.30306e14 | − | 1.32967e14i | 0.799295 | − | 0.461473i | −0.0439295 | − | 0.999035i | \(-0.513988\pi\) |
0.843225 | + | 0.537561i | \(0.180654\pi\) | |||||||
\(258\) | 1.60127e14i | 0.542934i | ||||||||
\(259\) | −3.75721e14 | + | 2.57518e14i | −1.24470 | + | 0.853119i | ||||
\(260\) | −3.07284e14 | −0.994718 | ||||||||
\(261\) | −4.77150e13 | − | 8.26449e13i | −0.150943 | − | 0.261440i | ||||
\(262\) | −1.88421e14 | − | 1.08785e14i | −0.582535 | − | 0.336327i | ||||
\(263\) | 1.98352e14 | − | 3.43556e14i | 0.599380 | − | 1.03816i | −0.393533 | − | 0.919311i | \(-0.628747\pi\) |
0.992913 | − | 0.118846i | \(-0.0379195\pi\) | |||||||
\(264\) | 8.48551e13 | − | 4.89911e13i | 0.250642 | − | 0.144708i | ||||
\(265\) | − | 4.61546e12i | − | 0.0133272i | ||||||
\(266\) | 6.16489e13 | − | 1.28825e14i | 0.174035 | − | 0.363673i | ||||
\(267\) | 1.67735e13 | 0.0462975 | ||||||||
\(268\) | −1.12480e14 | − | 1.94821e14i | −0.303576 | − | 0.525809i | ||||
\(269\) | −5.98003e13 | − | 3.45257e13i | −0.157830 | − | 0.0911232i | 0.419005 | − | 0.907984i | \(-0.362379\pi\) |
−0.576835 | + | 0.816861i | \(0.695712\pi\) | |||||||
\(270\) | 1.57024e14 | − | 2.71973e14i | 0.405305 | − | 0.702010i | ||||
\(271\) | −6.55851e14 | + | 3.78656e14i | −1.65573 | + | 0.955936i | −0.681078 | + | 0.732211i | \(0.738489\pi\) |
−0.974652 | + | 0.223726i | \(0.928178\pi\) | |||||||
\(272\) | 1.35241e14i | 0.333959i | ||||||||
\(273\) | −6.11166e14 | − | 2.92472e14i | −1.47633 | − | 0.706493i | ||||
\(274\) | 4.60637e14 | 1.08857 | ||||||||
\(275\) | −1.32023e14 | − | 2.28671e14i | −0.305249 | − | 0.528707i | ||||
\(276\) | −1.79123e14 | − | 1.03416e14i | −0.405225 | − | 0.233957i | ||||
\(277\) | −1.16361e14 | + | 2.01543e14i | −0.257590 | + | 0.446159i | −0.965596 | − | 0.260047i | \(-0.916262\pi\) |
0.708006 | + | 0.706207i | \(0.249595\pi\) | |||||||
\(278\) | 1.49532e13 | − | 8.63325e12i | 0.0323941 | − | 0.0187028i | ||||
\(279\) | 1.38549e14i | 0.293750i | ||||||||
\(280\) | 1.30300e14 | + | 1.90109e14i | 0.270394 | + | 0.394506i | ||||
\(281\) | −7.05866e14 | −1.43379 | −0.716893 | − | 0.697183i | \(-0.754436\pi\) | ||||
−0.716893 | + | 0.697183i | \(0.754436\pi\) | |||||||
\(282\) | −1.70464e14 | − | 2.95253e14i | −0.338953 | − | 0.587083i | ||||
\(283\) | 6.72043e14 | + | 3.88004e14i | 1.30821 | + | 0.755297i | 0.981798 | − | 0.189930i | \(-0.0608262\pi\) |
0.326414 | + | 0.945227i | \(0.394159\pi\) | |||||||
\(284\) | 7.61604e13 | − | 1.31914e14i | 0.145151 | − | 0.251409i | ||||
\(285\) | 3.98365e14 | − | 2.29996e14i | 0.743382 | − | 0.429192i | ||||
\(286\) | 4.18602e14i | 0.764901i | ||||||||
\(287\) | 3.00049e14 | − | 2.32281e13i | 0.536909 | − | 0.0415644i | ||||
\(288\) | −2.40622e13 | −0.0421677 | ||||||||
\(289\) | 2.28522e14 | + | 3.95813e14i | 0.392231 | + | 0.679364i | ||||
\(290\) | −6.23613e14 | − | 3.60043e14i | −1.04840 | − | 0.605294i | ||||
\(291\) | 1.92648e14 | − | 3.33676e14i | 0.317253 | − | 0.549499i | ||||
\(292\) | 4.63504e14 | − | 2.67604e14i | 0.747749 | − | 0.431713i | ||||
\(293\) | − | 6.68824e14i | − | 1.05708i | −0.848910 | − | 0.528538i | \(-0.822740\pi\) | ||
0.848910 | − | 0.528538i | \(-0.177260\pi\) | |||||||
\(294\) | 7.82131e13 | + | 5.02132e14i | 0.121114 | + | 0.777560i | ||||
\(295\) | −1.33072e15 | −2.01909 | ||||||||
\(296\) | −1.79418e14 | − | 3.10761e14i | −0.266757 | − | 0.462037i | ||||
\(297\) | −3.70499e14 | − | 2.13908e14i | −0.539819 | − | 0.311665i | ||||
\(298\) | 4.58665e14 | − | 7.94431e14i | 0.654935 | − | 1.13438i | ||||
\(299\) | 7.65253e14 | − | 4.41819e14i | 1.07097 | − | 0.618325i | ||||
\(300\) | 3.36684e14i | 0.461844i | ||||||||
\(301\) | 3.96032e13 | + | 5.11575e14i | 0.0532515 | + | 0.687876i | ||||
\(302\) | −9.03459e14 | −1.19088 | ||||||||
\(303\) | 4.67000e14 | + | 8.08867e14i | 0.603477 | + | 1.04525i | ||||
\(304\) | 9.74351e13 | + | 5.62542e13i | 0.123445 | + | 0.0712711i | ||||
\(305\) | −5.12244e14 | + | 8.87233e14i | −0.636323 | + | 1.10214i | ||||
\(306\) | −1.60196e14 | + | 9.24894e13i | −0.195130 | + | 0.112658i | ||||
\(307\) | − | 7.37934e14i | − | 0.881429i | −0.897647 | − | 0.440714i | \(-0.854725\pi\) | ||
0.897647 | − | 0.440714i | \(-0.145275\pi\) | |||||||
\(308\) | 2.58978e14 | − | 1.77503e14i | 0.303361 | − | 0.207923i | ||||
\(309\) | 7.69460e14 | 0.883965 | ||||||||
\(310\) | 5.22724e14 | + | 9.05385e14i | 0.588983 | + | 1.02015i | ||||
\(311\) | 4.21657e14 | + | 2.43444e14i | 0.466012 | + | 0.269052i | 0.714569 | − | 0.699565i | \(-0.246623\pi\) |
−0.248557 | + | 0.968617i | \(0.579956\pi\) | |||||||
\(312\) | 2.66878e14 | − | 4.62247e14i | 0.289325 | − | 0.501125i | ||||
\(313\) | 2.88228e14 | − | 1.66408e14i | 0.306528 | − | 0.176974i | −0.338844 | − | 0.940843i | \(-0.610036\pi\) |
0.645372 | + | 0.763869i | \(0.276703\pi\) | |||||||
\(314\) | − | 3.58152e14i | − | 0.373671i | ||||||
\(315\) | −1.36078e14 | + | 2.84357e14i | −0.139292 | + | 0.291073i | ||||
\(316\) | 4.94138e14 | 0.496279 | ||||||||
\(317\) | 7.44042e14 | + | 1.28872e15i | 0.733233 | + | 1.27000i | 0.955494 | + | 0.295010i | \(0.0953229\pi\) |
−0.222261 | + | 0.974987i | \(0.571344\pi\) | |||||||
\(318\) | 6.94302e12 | + | 4.00855e12i | 0.00671407 | + | 0.00387637i | ||||
\(319\) | −4.90474e14 | + | 8.49526e14i | −0.465449 | + | 0.806181i | ||||
\(320\) | −1.57240e14 | + | 9.07828e13i | −0.146442 | + | 0.0845481i | ||||
\(321\) | 2.70938e14i | 0.247651i | ||||||||
\(322\) | −5.97839e14 | − | 2.86094e14i | −0.536350 | − | 0.256669i | ||||
\(323\) | 8.64912e14 | 0.761653 | ||||||||
\(324\) | 3.41739e14 | + | 5.91909e14i | 0.295409 | + | 0.511664i | ||||
\(325\) | −1.24568e15 | − | 7.19195e14i | −1.05708 | − | 0.610305i | ||||
\(326\) | −5.55538e14 | + | 9.62221e14i | −0.462816 | + | 0.801621i | ||||
\(327\) | 5.16817e14 | − | 2.98384e14i | 0.422717 | − | 0.244056i | ||||
\(328\) | 2.37081e14i | 0.190394i | ||||||||
\(329\) | −6.17623e14 | − | 9.01115e14i | −0.487021 | − | 0.710567i | ||||
\(330\) | 1.01126e15 | 0.783028 | ||||||||
\(331\) | −1.12300e14 | − | 1.94510e14i | −0.0853912 | − | 0.147902i | 0.820167 | − | 0.572125i | \(-0.193881\pi\) |
−0.905558 | + | 0.424223i | \(0.860547\pi\) | |||||||
\(332\) | −3.72431e14 | − | 2.15023e14i | −0.278110 | − | 0.160567i | ||||
\(333\) | 2.45404e14 | − | 4.25052e14i | 0.179977 | − | 0.311728i | ||||
\(334\) | −7.97974e14 | + | 4.60710e14i | −0.574791 | + | 0.331856i | ||||
\(335\) | − | 2.32177e15i | − | 1.64267i | ||||||
\(336\) | −3.99147e14 | + | 3.08997e13i | −0.277394 | + | 0.0214743i | ||||
\(337\) | 1.02994e15 | 0.703124 | 0.351562 | − | 0.936165i | \(-0.385651\pi\) | ||||
0.351562 | + | 0.936165i | \(0.385651\pi\) | |||||||
\(338\) | 6.12989e14 | + | 1.06173e15i | 0.411105 | + | 0.712054i | ||||
\(339\) | −1.87153e15 | − | 1.08053e15i | −1.23310 | − | 0.711930i | ||||
\(340\) | −6.97896e14 | + | 1.20879e15i | −0.451770 | + | 0.782489i | ||||
\(341\) | 1.23337e15 | − | 7.12089e14i | 0.784456 | − | 0.452906i | ||||
\(342\) | 1.53886e14i | 0.0961707i | ||||||||
\(343\) | 3.74064e14 | + | 1.58487e15i | 0.229711 | + | 0.973259i | ||||
\(344\) | −4.04216e14 | −0.243929 | ||||||||
\(345\) | −1.06734e15 | − | 1.84869e15i | −0.632979 | − | 1.09635i | ||||
\(346\) | −8.54044e14 | − | 4.93083e14i | −0.497764 | − | 0.287384i | ||||
\(347\) | 4.36316e14 | − | 7.55722e14i | 0.249934 | − | 0.432898i | −0.713574 | − | 0.700580i | \(-0.752925\pi\) |
0.963507 | + | 0.267683i | \(0.0862579\pi\) | |||||||
\(348\) | 1.08322e15 | − | 6.25399e14i | 0.609877 | − | 0.352113i | ||||
\(349\) | − | 2.50531e14i | − | 0.138647i | −0.997594 | − | 0.0693233i | \(-0.977916\pi\) | ||
0.997594 | − | 0.0693233i | \(-0.0220840\pi\) | |||||||
\(350\) | 8.32698e13 | + | 1.07564e15i | 0.0452980 | + | 0.585138i | ||||
\(351\) | −2.33052e15 | −1.24626 | ||||||||
\(352\) | 1.23670e14 | + | 2.14203e14i | 0.0650144 | + | 0.112608i | ||||
\(353\) | −2.45457e14 | − | 1.41714e14i | −0.126861 | − | 0.0732430i | 0.435227 | − | 0.900321i | \(-0.356668\pi\) |
−0.562087 | + | 0.827078i | \(0.690002\pi\) | |||||||
\(354\) | 1.15574e15 | − | 2.00180e15i | 0.587275 | − | 1.01719i | ||||
\(355\) | 1.36146e15 | − | 7.86038e14i | 0.680196 | − | 0.392711i | ||||
\(356\) | 4.23422e13i | 0.0208005i | ||||||||
\(357\) | −2.53859e15 | + | 1.73995e15i | −1.22626 | + | 0.840478i | ||||
\(358\) | 4.79203e14 | 0.227626 | ||||||||
\(359\) | −2.96270e14 | − | 5.13154e14i | −0.138395 | − | 0.239707i | 0.788494 | − | 0.615042i | \(-0.210861\pi\) |
−0.926889 | + | 0.375335i | \(0.877528\pi\) | |||||||
\(360\) | −2.15070e14 | − | 1.24171e14i | −0.0988016 | − | 0.0570431i | ||||
\(361\) | −7.46892e14 | + | 1.29365e15i | −0.337454 | + | 0.584487i | ||||
\(362\) | −2.09933e15 | + | 1.21205e15i | −0.932888 | + | 0.538603i | ||||
\(363\) | 1.16861e15i | 0.510776i | ||||||||
\(364\) | 7.38299e14 | − | 1.54279e15i | 0.317412 | − | 0.663283i | ||||
\(365\) | 5.52378e15 | 2.33603 | ||||||||
\(366\) | −8.89775e14 | − | 1.54113e15i | −0.370163 | − | 0.641142i | ||||
\(367\) | −4.05423e14 | − | 2.34071e14i | −0.165925 | − | 0.0957969i | 0.414738 | − | 0.909941i | \(-0.363873\pi\) |
−0.580663 | + | 0.814144i | \(0.697207\pi\) | |||||||
\(368\) | 2.61059e14 | − | 4.52167e14i | 0.105112 | − | 0.182059i | ||||
\(369\) | −2.80829e14 | + | 1.62137e14i | −0.111246 | + | 0.0642278i | ||||
\(370\) | − | 3.70348e15i | − | 1.44344i | ||||||
\(371\) | 2.31730e13 | + | 1.10894e13i | 0.00888666 | + | 0.00425268i | ||||
\(372\) | −1.81596e15 | −0.685248 | ||||||||
\(373\) | 1.17094e15 | + | 2.02812e15i | 0.434791 | + | 0.753081i | 0.997279 | − | 0.0737253i | \(-0.0234888\pi\) |
−0.562487 | + | 0.826806i | \(0.690155\pi\) | |||||||
\(374\) | 1.64669e15 | + | 9.50720e14i | 0.601705 | + | 0.347394i | ||||
\(375\) | 3.55895e14 | − | 6.16428e14i | 0.127978 | − | 0.221664i | ||||
\(376\) | 7.45320e14 | − | 4.30310e14i | 0.263764 | − | 0.152284i | ||||
\(377\) | 5.34370e15i | 1.86120i | ||||||||
\(378\) | 9.88229e14 | + | 1.44183e15i | 0.338772 | + | 0.494269i | ||||
\(379\) | −4.89878e15 | −1.65292 | −0.826461 | − | 0.562994i | \(-0.809649\pi\) | ||||
−0.826461 | + | 0.562994i | \(0.809649\pi\) | |||||||
\(380\) | 5.80589e14 | + | 1.00561e15i | 0.192827 | + | 0.333986i | ||||
\(381\) | −1.89119e14 | − | 1.09188e14i | −0.0618281 | − | 0.0356965i | ||||
\(382\) | −1.40925e15 | + | 2.44089e15i | −0.453531 | + | 0.785539i | ||||
\(383\) | −4.07029e15 | + | 2.34998e15i | −1.28953 | + | 0.744513i | −0.978571 | − | 0.205909i | \(-0.933985\pi\) |
−0.310963 | + | 0.950422i | \(0.600652\pi\) | |||||||
\(384\) | − | 3.15382e14i | − | 0.0983670i | ||||||
\(385\) | 3.23076e15 | − | 2.50107e14i | 0.992066 | − | 0.0768001i | ||||
\(386\) | −1.79037e15 | −0.541276 | ||||||||
\(387\) | −2.76438e14 | − | 4.78805e14i | −0.0822872 | − | 0.142526i | ||||
\(388\) | 8.42311e14 | + | 4.86309e14i | 0.246878 | + | 0.142535i | ||||
\(389\) | 1.04054e15 | − | 1.80226e15i | 0.300303 | − | 0.520140i | −0.675901 | − | 0.736992i | \(-0.736246\pi\) |
0.976205 | + | 0.216852i | \(0.0695788\pi\) | |||||||
\(390\) | 4.77076e15 | − | 2.75440e15i | 1.35581 | − | 0.782779i | ||||
\(391\) | − | 4.01379e15i | − | 1.12330i | ||||||
\(392\) | −1.26755e15 | + | 1.97437e14i | −0.349341 | + | 0.0544141i | ||||
\(393\) | 3.90046e15 | 1.05867 | ||||||||
\(394\) | −6.76419e13 | − | 1.17159e14i | −0.0180817 | − | 0.0313184i | ||||
\(395\) | 4.41665e15 | + | 2.54995e15i | 1.16281 | + | 0.671350i | ||||
\(396\) | −1.69153e14 | + | 2.92982e14i | −0.0438641 | + | 0.0759748i | ||||
\(397\) | 5.98851e14 | − | 3.45747e14i | 0.152959 | − | 0.0883110i | −0.421567 | − | 0.906797i | \(-0.638520\pi\) |
0.574526 | + | 0.818486i | \(0.305186\pi\) | |||||||
\(398\) | − | 2.69753e15i | − | 0.678685i | ||||||
\(399\) | 1.97614e14 | + | 2.55269e15i | 0.0489758 | + | 0.632645i | ||||
\(400\) | −8.49905e14 | −0.207496 | ||||||||
\(401\) | 2.13958e15 | + | 3.70586e15i | 0.514592 | + | 0.891299i | 0.999857 | + | 0.0169316i | \(0.00538977\pi\) |
−0.485265 | + | 0.874367i | \(0.661277\pi\) | |||||||
\(402\) | 3.49264e15 | + | 2.01648e15i | 0.827556 | + | 0.477790i | ||||
\(403\) | 3.87909e15 | − | 6.71878e15i | 0.905524 | − | 1.56841i | ||||
\(404\) | −2.04186e15 | + | 1.17887e15i | −0.469610 | + | 0.271129i | ||||
\(405\) | 7.05404e15i | 1.59848i | ||||||||
\(406\) | 3.30601e15 | − | 2.26593e15i | 0.738155 | − | 0.505931i | ||||
\(407\) | −5.04512e15 | −1.10996 | ||||||||
\(408\) | −1.21226e15 | − | 2.09969e15i | −0.262805 | − | 0.455191i | ||||
\(409\) | −5.93554e13 | − | 3.42689e13i | −0.0126800 | − | 0.00732082i | 0.493647 | − | 0.869663i | \(-0.335664\pi\) |
−0.506327 | + | 0.862342i | \(0.668997\pi\) | |||||||
\(410\) | −1.22343e15 | + | 2.11905e15i | −0.257559 | + | 0.446106i | ||||
\(411\) | −7.15166e15 | + | 4.12901e15i | −1.48373 | + | 0.856633i | ||||
\(412\) | 1.94238e15i | 0.397147i | ||||||||
\(413\) | 3.19727e15 | − | 6.68121e15i | 0.644287 | − | 1.34634i | ||||
\(414\) | 7.14139e14 | 0.141834 | ||||||||
\(415\) | −2.21921e15 | − | 3.84379e15i | −0.434421 | − | 0.752439i | ||||
\(416\) | 1.16687e15 | + | 6.73692e14i | 0.225145 | + | 0.129987i | ||||
\(417\) | −1.54772e14 | + | 2.68072e14i | −0.0294357 | + | 0.0509842i | ||||
\(418\) | 1.36991e15 | − | 7.90916e14i | 0.256823 | − | 0.148277i | ||||
\(419\) | − | 2.03797e15i | − | 0.376628i | −0.982109 | − | 0.188314i | \(-0.939698\pi\) | ||
0.982109 | − | 0.188314i | \(-0.0603023\pi\) | |||||||
\(420\) | −3.72706e15 | − | 1.78358e15i | −0.679002 | − | 0.324934i | ||||
\(421\) | −7.75234e15 | −1.39232 | −0.696162 | − | 0.717885i | \(-0.745110\pi\) | ||||
−0.696162 | + | 0.717885i | \(0.745110\pi\) | |||||||
\(422\) | −2.93400e15 | − | 5.08184e15i | −0.519500 | − | 0.899801i | ||||
\(423\) | 1.01943e15 | + | 5.88568e14i | 0.177957 | + | 0.102744i | ||||
\(424\) | −1.01190e13 | + | 1.75265e13i | −0.00174157 | + | 0.00301649i | ||||
\(425\) | −5.65833e15 | + | 3.26684e15i | −0.960185 | + | 0.554363i | ||||
\(426\) | 2.73071e15i | 0.456897i | ||||||||
\(427\) | −3.22381e15 | − | 4.70356e15i | −0.531866 | − | 0.775996i | ||||
\(428\) | −6.83940e14 | −0.111264 | ||||||||
\(429\) | −3.75222e15 | − | 6.49904e15i | −0.601928 | − | 1.04257i | ||||
\(430\) | −3.61292e15 | − | 2.08592e15i | −0.571541 | − | 0.329979i | ||||
\(431\) | −3.20180e13 | + | 5.54569e13i | −0.00499495 | + | 0.00865151i | −0.868512 | − | 0.495668i | \(-0.834923\pi\) |
0.863517 | + | 0.504320i | \(0.168257\pi\) | |||||||
\(432\) | −1.19255e15 | + | 6.88519e14i | −0.183474 | + | 0.105929i | ||||
\(433\) | − | 3.93012e14i | − | 0.0596319i | −0.999555 | − | 0.0298159i | \(-0.990508\pi\) | ||
0.999555 | − | 0.0298159i | \(-0.00949211\pi\) | |||||||
\(434\) | −5.80162e15 | + | 4.49129e14i | −0.868183 | + | 0.0672098i | ||||
\(435\) | 1.29093e16 | 1.90531 | ||||||||
\(436\) | 7.53223e14 | + | 1.30462e15i | 0.109649 | + | 0.189918i | ||||
\(437\) | −2.89177e15 | − | 1.66956e15i | −0.415217 | − | 0.239725i | ||||
\(438\) | −4.79744e15 | + | 8.30941e15i | −0.679461 | + | 1.17686i | ||||
\(439\) | 6.94942e15 | − | 4.01225e15i | 0.970871 | − | 0.560533i | 0.0713694 | − | 0.997450i | \(-0.477263\pi\) |
0.899502 | + | 0.436917i | \(0.143930\pi\) | |||||||
\(440\) | 2.55276e15i | 0.351798i | ||||||||
\(441\) | −1.10073e15 | − | 1.36643e15i | −0.149641 | − | 0.185761i | ||||
\(442\) | 1.03581e16 | 1.38914 | ||||||||
\(443\) | −7.81118e14 | − | 1.35294e15i | −0.103346 | − | 0.179001i | 0.809715 | − | 0.586823i | \(-0.199622\pi\) |
−0.913061 | + | 0.407822i | \(0.866288\pi\) | |||||||
\(444\) | 5.57114e15 | + | 3.21650e15i | 0.727187 | + | 0.419842i | ||||
\(445\) | −2.18503e14 | + | 3.78458e14i | −0.0281382 | + | 0.0487369i | ||||
\(446\) | −4.11593e15 | + | 2.37633e15i | −0.522949 | + | 0.301925i | ||||
\(447\) | 1.64453e16i | 2.06157i | ||||||||
\(448\) | −7.80013e13 | − | 1.00758e15i | −0.00964792 | − | 0.124627i | ||||
\(449\) | −2.29552e15 | −0.280158 | −0.140079 | − | 0.990140i | \(-0.544736\pi\) | ||||
−0.140079 | + | 0.990140i | \(0.544736\pi\) | |||||||
\(450\) | −5.81240e14 | − | 1.00674e15i | −0.0699971 | − | 0.121239i | ||||
\(451\) | 2.88670e15 | + | 1.66664e15i | 0.343039 | + | 0.198053i | ||||
\(452\) | 2.72762e15 | − | 4.72437e15i | 0.319855 | − | 0.554005i | ||||
\(453\) | 1.40267e16 | − | 8.09833e15i | 1.62318 | − | 0.937144i | ||||
\(454\) | − | 3.50040e15i | − | 0.399744i | ||||||
\(455\) | 1.45604e16 | − | 9.97968e15i | 1.64099 | − | 1.12473i | ||||
\(456\) | −2.01698e15 | −0.224343 | ||||||||
\(457\) | −3.78307e15 | − | 6.55247e15i | −0.415286 | − | 0.719296i | 0.580173 | − | 0.814493i | \(-0.302985\pi\) |
−0.995458 | + | 0.0951976i | \(0.969652\pi\) | |||||||
\(458\) | 6.92410e15 | + | 3.99763e15i | 0.750188 | + | 0.433121i | ||||
\(459\) | −5.29302e15 | + | 9.16777e15i | −0.566014 | + | 0.980365i | ||||
\(460\) | 4.66673e15 | − | 2.69434e15i | 0.492567 | − | 0.284384i | ||||
\(461\) | − | 3.83644e15i | − | 0.399690i | −0.979828 | − | 0.199845i | \(-0.935956\pi\) | ||
0.979828 | − | 0.199845i | \(-0.0640439\pi\) | |||||||
\(462\) | −2.42970e15 | + | 5.07725e15i | −0.249863 | + | 0.522127i | ||||
\(463\) | 4.62714e15 | 0.469707 | 0.234853 | − | 0.972031i | \(-0.424539\pi\) | ||||
0.234853 | + | 0.972031i | \(0.424539\pi\) | |||||||
\(464\) | 1.57872e15 | + | 2.73443e15i | 0.158197 | + | 0.274005i | ||||
\(465\) | −1.62312e16 | − | 9.37108e15i | −1.60558 | − | 0.926983i | ||||
\(466\) | −5.26830e15 | + | 9.12496e15i | −0.514464 | + | 0.891078i | ||||
\(467\) | −1.22742e16 | + | 7.08650e15i | −1.18329 | + | 0.683173i | −0.956773 | − | 0.290834i | \(-0.906067\pi\) |
−0.226517 | + | 0.974007i | \(0.572734\pi\) | |||||||
\(468\) | 1.84292e15i | 0.175400i | ||||||||
\(469\) | 1.16570e16 | + | 5.57843e15i | 1.09534 | + | 0.524173i | ||||
\(470\) | 8.88231e15 | 0.824022 | ||||||||
\(471\) | 3.21037e15 | + | 5.56052e15i | 0.294056 | + | 0.509319i | ||||
\(472\) | 5.05324e15 | + | 2.91749e15i | 0.457001 | + | 0.263850i | ||||
\(473\) | −2.84157e15 | + | 4.92175e15i | −0.253742 | + | 0.439494i | ||||
\(474\) | −7.67177e15 | + | 4.42930e15i | −0.676434 | + | 0.390539i | ||||
\(475\) | 5.43545e15i | 0.473232i | ||||||||
\(476\) | −4.39222e15 | − | 6.40827e15i | −0.377609 | − | 0.550933i | ||||
\(477\) | −2.76809e13 | −0.00235001 | ||||||||
\(478\) | −2.71575e15 | − | 4.70381e15i | −0.227678 | − | 0.394350i | ||||
\(479\) | 3.20508e15 | + | 1.85045e15i | 0.265354 | + | 0.153202i | 0.626774 | − | 0.779201i | \(-0.284375\pi\) |
−0.361421 | + | 0.932403i | \(0.617708\pi\) | |||||||
\(480\) | 1.62750e15 | − | 2.81891e15i | 0.133068 | − | 0.230480i | ||||
\(481\) | −2.38012e16 | + | 1.37416e16i | −1.92189 | + | 1.10960i | ||||
\(482\) | − | 2.32191e15i | − | 0.185167i | ||||||
\(483\) | 1.18462e16 | − | 9.17069e14i | 0.933035 | − | 0.0722302i | ||||
\(484\) | −2.94997e15 | −0.229481 | ||||||||
\(485\) | 5.01910e15 | + | 8.69334e15i | 0.385634 | + | 0.667938i | ||||
\(486\) | −3.77325e15 | − | 2.17849e15i | −0.286351 | − | 0.165325i | ||||
\(487\) | 8.57581e15 | − | 1.48537e16i | 0.642838 | − | 1.11343i | −0.341959 | − | 0.939715i | \(-0.611090\pi\) |
0.984796 | − | 0.173713i | \(-0.0555764\pi\) | |||||||
\(488\) | 3.89035e15 | − | 2.24609e15i | 0.288051 | − | 0.166306i | ||||
\(489\) | − | 1.99187e16i | − | 1.45683i | ||||||
\(490\) | −1.23483e16 | − | 4.77638e15i | −0.892139 | − | 0.345082i | ||||
\(491\) | −1.18747e16 | −0.847487 | −0.423744 | − | 0.905782i | \(-0.639284\pi\) | ||||
−0.423744 | + | 0.905782i | \(0.639284\pi\) | |||||||
\(492\) | −2.12512e15 | − | 3.68081e15i | −0.149828 | − | 0.259510i | ||||
\(493\) | 2.10210e16 | + | 1.21365e16i | 1.46410 | + | 0.845301i | ||||
\(494\) | 4.30850e15 | − | 7.46254e15i | 0.296459 | − | 0.513482i | ||||
\(495\) | −3.02381e15 | + | 1.74580e15i | −0.205553 | + | 0.118676i | ||||
\(496\) | − | 4.58410e15i | − | 0.307867i | ||||||
\(497\) | 6.75369e14 | + | 8.72409e15i | 0.0448129 | + | 0.578871i | ||||
\(498\) | 7.70960e15 | 0.505424 | ||||||||
\(499\) | 1.47725e15 | + | 2.55868e15i | 0.0956868 | + | 0.165734i | 0.909895 | − | 0.414839i | \(-0.136162\pi\) |
−0.814208 | + | 0.580573i | \(0.802829\pi\) | |||||||
\(500\) | 1.55607e15 | + | 8.98399e14i | 0.0995887 | + | 0.0574976i | ||||
\(501\) | 8.25933e15 | − | 1.43056e16i | 0.522298 | − | 0.904647i | ||||
\(502\) | 4.08743e15 | − | 2.35988e15i | 0.255404 | − | 0.147458i | ||||
\(503\) | 3.88753e15i | 0.240030i | 0.992772 | + | 0.120015i | \(0.0382943\pi\) | ||||
−0.992772 | + | 0.120015i | \(0.961706\pi\) | |||||||
\(504\) | 1.14017e15 | − | 7.81468e14i | 0.0695640 | − | 0.0476791i | ||||
\(505\) | −2.43337e16 | −1.46710 | ||||||||
\(506\) | −3.67040e15 | − | 6.35732e15i | −0.218681 | − | 0.378766i | ||||
\(507\) | −1.90340e16 | − | 1.09893e16i | −1.12068 | − | 0.647026i | ||||
\(508\) | 2.75628e14 | − | 4.77402e14i | 0.0160377 | − | 0.0277780i | ||||
\(509\) | −2.28834e15 | + | 1.32117e15i | −0.131587 | + | 0.0759719i | −0.564349 | − | 0.825537i | \(-0.690873\pi\) |
0.432761 | + | 0.901509i | \(0.357539\pi\) | |||||||
\(510\) | − | 2.50229e16i | − | 1.42206i | ||||||
\(511\) | −1.32718e16 | + | 2.77334e16i | −0.745423 | + | 1.55768i | ||||
\(512\) | 7.96131e14 | 0.0441942 | ||||||||
\(513\) | 4.40333e15 | + | 7.62679e15i | 0.241589 | + | 0.418444i | ||||
\(514\) | −1.04225e16 | − | 6.01742e15i | −0.565187 | − | 0.326311i | ||||
\(515\) | −1.00235e16 | + | 1.73612e16i | −0.537248 | + | 0.930541i | ||||
\(516\) | 6.27568e15 | − | 3.62327e15i | 0.332478 | − | 0.191956i | ||||
\(517\) | − | 1.21001e16i | − | 0.633642i | ||||||
\(518\) | 1.85942e16 | + | 8.89820e15i | 0.962496 | + | 0.460600i | ||||
\(519\) | 1.76794e16 | 0.904613 | ||||||||
\(520\) | 6.95305e15 | + | 1.20430e16i | 0.351686 | + | 0.609138i | ||||
\(521\) | −8.74947e15 | − | 5.05151e15i | −0.437477 | − | 0.252578i | 0.265050 | − | 0.964235i | \(-0.414612\pi\) |
−0.702527 | + | 0.711657i | \(0.747945\pi\) | |||||||
\(522\) | −2.15934e15 | + | 3.74008e15i | −0.106733 | + | 0.184866i | ||||
\(523\) | 2.00319e16 | − | 1.15654e16i | 0.978843 | − | 0.565135i | 0.0769222 | − | 0.997037i | \(-0.475491\pi\) |
0.901921 | + | 0.431902i | \(0.142157\pi\) | |||||||
\(524\) | 9.84610e15i | 0.475638i | ||||||||
\(525\) | −1.09345e16 | − | 1.59535e16i | −0.522208 | − | 0.761904i | ||||
\(526\) | −1.79528e16 | −0.847651 | ||||||||
\(527\) | −1.76202e16 | − | 3.05191e16i | −0.822522 | − | 1.42465i | ||||
\(528\) | −3.84010e15 | − | 2.21708e15i | −0.177231 | − | 0.102324i | ||||
\(529\) | 3.20938e15 | − | 5.55881e15i | 0.146449 | − | 0.253657i | ||||
\(530\) | −1.80888e14 | + | 1.04436e14i | −0.00816122 | + | 0.00471188i | ||||
\(531\) | 7.98093e15i | 0.356030i | ||||||||
\(532\) | −6.44385e15 | + | 4.98846e14i | −0.284234 | + | 0.0220038i | ||||
\(533\) | 1.81580e16 | 0.791962 | ||||||||
\(534\) | −3.79542e14 | − | 6.57386e14i | −0.0163686 | − | 0.0283513i | ||||
\(535\) | −6.11311e15 | − | 3.52941e15i | −0.260699 | − | 0.150515i | ||||
\(536\) | −5.09027e15 | + | 8.81661e15i | −0.214661 | + | 0.371803i | ||||
\(537\) | −7.43989e15 | + | 4.29542e15i | −0.310257 | + | 0.179127i | ||||
\(538\) | 3.12491e15i | 0.128868i | ||||||||
\(539\) | −6.50669e15 | + | 1.68217e16i | −0.265355 | + | 0.686021i | ||||
\(540\) | −1.42122e16 | −0.573188 | ||||||||
\(541\) | 1.20154e16 | + | 2.08113e16i | 0.479243 | + | 0.830073i | 0.999717 | − | 0.0238046i | \(-0.00757796\pi\) |
−0.520474 | + | 0.853878i | \(0.674245\pi\) | |||||||
\(542\) | 2.96804e16 | + | 1.71360e16i | 1.17078 | + | 0.675949i | ||||
\(543\) | 2.17289e16 | − | 3.76355e16i | 0.847692 | − | 1.46825i | ||||
\(544\) | 5.30033e15 | − | 3.06015e15i | 0.204508 | − | 0.118072i | ||||
\(545\) | 1.55478e16i | 0.593320i | ||||||||
\(546\) | 2.36660e15 | + | 3.05706e16i | 0.0893242 | + | 1.15385i | ||||
\(547\) | 2.61473e16 | 0.976119 | 0.488060 | − | 0.872810i | \(-0.337705\pi\) | ||||
0.488060 | + | 0.872810i | \(0.337705\pi\) | |||||||
\(548\) | −1.04230e16 | − | 1.80532e16i | −0.384867 | − | 0.666609i | ||||
\(549\) | 5.32112e15 | + | 3.07215e15i | 0.194343 | + | 0.112204i | ||||
\(550\) | −5.97470e15 | + | 1.03485e16i | −0.215844 | + | 0.373853i | ||||
\(551\) | 1.74876e16 | − | 1.00965e16i | 0.624916 | − | 0.360795i | ||||
\(552\) | 9.36019e15i | 0.330865i | ||||||||
\(553\) | −2.34143e16 | + | 1.60481e16i | −0.818711 | + | 0.561143i | ||||
\(554\) | 1.05318e16 | 0.364288 | ||||||||
\(555\) | 3.31969e16 | + | 5.74987e16i | 1.13590 | + | 1.96743i | ||||
\(556\) | −6.76706e14 | − | 3.90696e14i | −0.0229061 | − | 0.0132248i | ||||
\(557\) | 9.52588e15 | − | 1.64993e16i | 0.318988 | − | 0.552503i | −0.661289 | − | 0.750131i | \(-0.729990\pi\) |
0.980277 | + | 0.197628i | \(0.0633238\pi\) | |||||||
\(558\) | 5.42999e15 | − | 3.13501e15i | 0.179885 | − | 0.103856i | ||||
\(559\) | 3.09588e16i | 1.01464i | ||||||||
\(560\) | 4.50235e15 | − | 9.40838e15i | 0.145986 | − | 0.305061i | ||||
\(561\) | −3.40878e16 | −1.09351 | ||||||||
\(562\) | 1.59719e16 | + | 2.76642e16i | 0.506920 | + | 0.878011i | ||||
\(563\) | −1.49006e16 | − | 8.60286e15i | −0.467900 | − | 0.270142i | 0.247460 | − | 0.968898i | \(-0.420404\pi\) |
−0.715360 | + | 0.698756i | \(0.753737\pi\) | |||||||
\(564\) | −7.71434e15 | + | 1.33616e16i | −0.239676 | + | 0.415131i | ||||
\(565\) | 4.87593e16 | − | 2.81512e16i | 1.49888 | − | 0.865379i | ||||
\(566\) | − | 3.51181e16i | − | 1.06815i | ||||||
\(567\) | −3.54165e16 | − | 1.69484e16i | −1.06588 | − | 0.510072i | ||||
\(568\) | −6.89326e15 | −0.205274 | ||||||||
\(569\) | −1.64180e16 | − | 2.84368e16i | −0.483779 | − | 0.837930i | 0.516048 | − | 0.856560i | \(-0.327403\pi\) |
−0.999826 | + | 0.0186304i | \(0.994069\pi\) | |||||||
\(570\) | −1.80279e16 | − | 1.04084e16i | −0.525651 | − | 0.303484i | ||||
\(571\) | −2.21946e16 | + | 3.84422e16i | −0.640369 | + | 1.10915i | 0.344981 | + | 0.938610i | \(0.387885\pi\) |
−0.985350 | + | 0.170543i | \(0.945448\pi\) | |||||||
\(572\) | 1.64058e16 | − | 9.47189e15i | 0.468404 | − | 0.270433i | ||||
\(573\) | − | 5.05282e16i | − | 1.42760i | ||||||
\(574\) | −7.69968e15 | − | 1.12339e16i | −0.215279 | − | 0.314093i | ||||
\(575\) | 2.52243e16 | 0.697929 | ||||||||
\(576\) | 5.44464e14 | + | 9.43040e14i | 0.0149085 | + | 0.0258223i | ||||
\(577\) | −1.53625e16 | − | 8.86954e15i | −0.416300 | − | 0.240351i | 0.277193 | − | 0.960814i | \(-0.410596\pi\) |
−0.693493 | + | 0.720463i | \(0.743929\pi\) | |||||||
\(578\) | 1.03417e16 | − | 1.79124e16i | 0.277349 | − | 0.480383i | ||||
\(579\) | 2.77965e16 | − | 1.60483e16i | 0.737767 | − | 0.425950i | ||||
\(580\) | 3.25874e16i | 0.856015i | ||||||||
\(581\) | 2.46307e16 | − | 1.90676e15i | 0.640352 | − | 0.0495724i | ||||
\(582\) | −1.74365e16 | −0.448664 | ||||||||
\(583\) | 1.42269e14 | + | 2.46418e14i | 0.00362326 | + | 0.00627568i | ||||
\(584\) | −2.09758e16 | − | 1.21104e16i | −0.528739 | − | 0.305267i | ||||
\(585\) | −9.51020e15 | + | 1.64722e16i | −0.237276 | + | 0.410975i | ||||
\(586\) | −2.62124e16 | + | 1.51338e16i | −0.647324 | + | 0.373733i | ||||
\(587\) | − | 1.42997e16i | − | 0.349542i | −0.984609 | − | 0.174771i | \(-0.944081\pi\) | ||
0.984609 | − | 0.174771i | \(-0.0559185\pi\) | |||||||
\(588\) | 1.79097e16 | − | 1.44273e16i | 0.433336 | − | 0.349076i | ||||
\(589\) | −2.93169e16 | −0.702145 | ||||||||
\(590\) | 3.01108e16 | + | 5.21535e16i | 0.713856 | + | 1.23644i | ||||
\(591\) | 2.10036e15 | + | 1.21264e15i | 0.0492911 | + | 0.0284582i | ||||
\(592\) | −8.11954e15 | + | 1.40635e16i | −0.188626 | + | 0.326710i | ||||
\(593\) | 6.69933e15 | − | 3.86786e15i | 0.154065 | − | 0.0889493i | −0.420986 | − | 0.907067i | \(-0.638316\pi\) |
0.575050 | + | 0.818118i | \(0.304982\pi\) | |||||||
\(594\) | 1.93607e16i | 0.440761i | ||||||||
\(595\) | −6.18875e15 | − | 7.99433e16i | −0.139477 | − | 1.80169i | ||||
\(596\) | −4.15136e16 | −0.926218 | ||||||||
\(597\) | 2.41799e16 | + | 4.18807e16i | 0.534082 | + | 0.925057i | ||||
\(598\) | −3.46314e16 | − | 1.99944e16i | −0.757291 | − | 0.437222i | ||||
\(599\) | −1.42448e16 | + | 2.46727e16i | −0.308387 | + | 0.534141i | −0.978010 | − | 0.208560i | \(-0.933122\pi\) |
0.669623 | + | 0.742701i | \(0.266456\pi\) | |||||||
\(600\) | 1.31953e16 | − | 7.61829e15i | 0.282820 | − | 0.163286i | ||||
\(601\) | − | 1.25771e16i | − | 0.266892i | −0.991056 | − | 0.133446i | \(-0.957396\pi\) | ||
0.991056 | − | 0.133446i | \(-0.0426042\pi\) | |||||||
\(602\) | 1.91534e16 | − | 1.31277e16i | 0.402409 | − | 0.275811i | ||||
\(603\) | −1.39247e16 | −0.289656 | ||||||||
\(604\) | 2.04429e16 | + | 3.54082e16i | 0.421039 | + | 0.729260i | ||||
\(605\) | −2.63671e16 | − | 1.52231e16i | −0.537688 | − | 0.310434i | ||||
\(606\) | 2.11340e16 | − | 3.66051e16i | 0.426723 | − | 0.739105i | ||||
\(607\) | −3.41643e16 | + | 1.97248e16i | −0.683030 | + | 0.394348i | −0.800996 | − | 0.598670i | \(-0.795696\pi\) |
0.117965 | + | 0.993018i | \(0.462363\pi\) | |||||||
\(608\) | − | 5.09155e15i | − | 0.100793i | ||||||
\(609\) | −3.10165e16 | + | 6.48139e16i | −0.607980 | + | 1.27047i | ||||
\(610\) | 4.63630e16 | 0.899897 | ||||||||
\(611\) | −3.29574e16 | − | 5.70839e16i | −0.633441 | − | 1.09715i | ||||
\(612\) | 7.24966e15 | + | 4.18559e15i | 0.137978 | + | 0.0796615i | ||||
\(613\) | 1.23442e16 | − | 2.13807e16i | 0.232648 | − | 0.402958i | −0.725939 | − | 0.687759i | \(-0.758594\pi\) |
0.958586 | + | 0.284802i | \(0.0919277\pi\) | |||||||
\(614\) | −2.89210e16 | + | 1.66975e16i | −0.539763 | + | 0.311632i | ||||
\(615\) | − | 4.38659e16i | − | 0.810730i | ||||||
\(616\) | −1.28167e16 | − | 6.13340e15i | −0.234581 | − | 0.112258i | ||||
\(617\) | −4.97598e16 | −0.901919 | −0.450959 | − | 0.892545i | \(-0.648918\pi\) | ||||
−0.450959 | + | 0.892545i | \(0.648918\pi\) | |||||||
\(618\) | −1.74109e16 | − | 3.01566e16i | −0.312529 | − | 0.541316i | ||||
\(619\) | −1.68034e16 | − | 9.70147e15i | −0.298713 | − | 0.172462i | 0.343152 | − | 0.939280i | \(-0.388506\pi\) |
−0.641865 | + | 0.766818i | \(0.721839\pi\) | |||||||
\(620\) | 2.36558e16 | − | 4.09730e16i | 0.416474 | − | 0.721353i | ||||
\(621\) | 3.53936e16 | − | 2.04345e16i | 0.617128 | − | 0.356299i | ||||
\(622\) | − | 2.20340e16i | − | 0.380497i | ||||||
\(623\) | −1.37515e15 | − | 2.00635e15i | −0.0235191 | − | 0.0343145i | ||||
\(624\) | −2.41551e16 | −0.409167 | ||||||||
\(625\) | 3.40077e16 | + | 5.89031e16i | 0.570555 | + | 0.988230i | ||||
\(626\) | −1.30437e16 | − | 7.53079e15i | −0.216748 | − | 0.125139i | ||||
\(627\) | −1.41791e16 | + | 2.45588e16i | −0.233368 | + | 0.404206i | ||||
\(628\) | −1.40366e16 | + | 8.10406e15i | −0.228826 | + | 0.132113i | ||||
\(629\) | 1.24839e17i | 2.01579i | ||||||||
\(630\) | 1.42236e16 | − | 1.10111e15i | 0.227492 | − | 0.0176111i | ||||
\(631\) | 1.89698e16 | 0.300530 | 0.150265 | − | 0.988646i | \(-0.451987\pi\) | ||||
0.150265 | + | 0.988646i | \(0.451987\pi\) | |||||||
\(632\) | −1.11811e16 | − | 1.93662e16i | −0.175461 | − | 0.303907i | ||||
\(633\) | 9.11041e16 | + | 5.25990e16i | 1.41617 | + | 0.817627i | ||||
\(634\) | 3.36715e16 | − | 5.83208e16i | 0.518474 | − | 0.898024i | ||||
\(635\) | 4.92717e15 | − | 2.84470e15i | 0.0751546 | − | 0.0433905i | ||||
\(636\) | − | 3.62813e14i | − | 0.00548201i | ||||||
\(637\) | 1.51216e16 | + | 9.70817e16i | 0.226341 | + | 1.45312i | ||||
\(638\) | 4.43926e16 | 0.658244 | ||||||||
\(639\) | −4.71421e15 | − | 8.16526e15i | −0.0692475 | − | 0.119940i | ||||
\(640\) | 7.11589e15 | + | 4.10836e15i | 0.103550 | + | 0.0597845i | ||||
\(641\) | −2.80509e16 | + | 4.85856e16i | −0.404389 | + | 0.700422i | −0.994250 | − | 0.107083i | \(-0.965849\pi\) |
0.589861 | + | 0.807505i | \(0.299182\pi\) | |||||||
\(642\) | 1.06186e16 | − | 6.13063e15i | 0.151655 | − | 0.0875578i | ||||
\(643\) | 3.11805e15i | 0.0441182i | 0.999757 | + | 0.0220591i | \(0.00702220\pi\) | ||||
−0.999757 | + | 0.0220591i | \(0.992978\pi\) | |||||||
\(644\) | 2.31499e15 | + | 2.99040e16i | 0.0324515 | + | 0.419192i | ||||
\(645\) | 7.47901e16 | 1.03869 | ||||||||
\(646\) | −1.95707e16 | − | 3.38975e16i | −0.269285 | − | 0.466415i | ||||
\(647\) | 6.91898e16 | + | 3.99467e16i | 0.943227 | + | 0.544572i | 0.890970 | − | 0.454061i | \(-0.150025\pi\) |
0.0522565 | + | 0.998634i | \(0.483359\pi\) | |||||||
\(648\) | 1.54653e16 | − | 2.67867e16i | 0.208886 | − | 0.361801i | ||||
\(649\) | 7.10469e16 | − | 4.10189e16i | 0.950773 | − | 0.548929i | ||||
\(650\) | 6.50941e16i | 0.863101i | ||||||||
\(651\) | 8.60477e16 | − | 5.89769e16i | 1.13045 | − | 0.774812i | ||||
\(652\) | 5.02816e16 | 0.654521 | ||||||||
\(653\) | −6.87264e16 | − | 1.19038e17i | −0.886430 | − | 1.53534i | −0.844066 | − | 0.536240i | \(-0.819844\pi\) |
−0.0423648 | − | 0.999102i | \(-0.513489\pi\) | |||||||
\(654\) | −2.33884e16 | − | 1.35033e16i | −0.298906 | − | 0.172574i | ||||
\(655\) | −5.08099e16 | + | 8.80053e16i | −0.643429 | + | 1.11445i | ||||
\(656\) | 9.29163e15 | − | 5.36453e15i | 0.116592 | − | 0.0673144i | ||||
\(657\) | − | 3.31285e16i | − | 0.411917i | ||||||
\(658\) | −2.13411e16 | + | 4.45957e16i | −0.262943 | + | 0.549462i | ||||
\(659\) | −2.77636e15 | −0.0338972 | −0.0169486 | − | 0.999856i | \(-0.505395\pi\) | ||||
−0.0169486 | + | 0.999856i | \(0.505395\pi\) | |||||||
\(660\) | −2.28821e16 | − | 3.96330e16i | −0.276842 | − | 0.479505i | ||||
\(661\) | 1.34435e17 | + | 7.76164e16i | 1.61178 | + | 0.930560i | 0.988958 | + | 0.148195i | \(0.0473463\pi\) |
0.622820 | + | 0.782365i | \(0.285987\pi\) | |||||||
\(662\) | −5.08213e15 | + | 8.80251e15i | −0.0603807 | + | 0.104582i | ||||
\(663\) | −1.60815e17 | + | 9.28465e16i | −1.89341 | + | 1.09316i | ||||
\(664\) | 1.94617e16i | 0.227076i | ||||||||
\(665\) | −6.01700e16 | − | 2.87942e16i | −0.695745 | − | 0.332947i | ||||
\(666\) | −2.22114e16 | −0.254525 | ||||||||
\(667\) | −4.68547e16 | − | 8.11548e16i | −0.532106 | − | 0.921635i | ||||
\(668\) | 3.61122e16 | + | 2.08494e16i | 0.406438 | + | 0.234657i | ||||
\(669\) | 4.26015e16 | − | 7.37879e16i | 0.475191 | − | 0.823054i | ||||
\(670\) | −9.09946e16 | + | 5.25358e16i | −1.00593 | + | 0.580773i | ||||
\(671\) | − | 6.31587e16i | − | 0.691988i | ||||||
\(672\) | 1.02427e16 | + | 1.49441e16i | 0.111224 | + | 0.162276i | ||||
\(673\) | 4.53293e15 | 0.0487852 | 0.0243926 | − | 0.999702i | \(-0.492235\pi\) | ||||
0.0243926 | + | 0.999702i | \(0.492235\pi\) | |||||||
\(674\) | −2.33048e16 | − | 4.03652e16i | −0.248592 | − | 0.430574i | ||||
\(675\) | −5.76139e16 | − | 3.32634e16i | −0.609123 | − | 0.351677i | ||||
\(676\) | 2.77407e16 | − | 4.80483e16i | 0.290695 | − | 0.503498i | ||||
\(677\) | −8.53907e16 | + | 4.93003e16i | −0.886908 | + | 0.512057i | −0.872930 | − | 0.487846i | \(-0.837783\pi\) |
−0.0139781 | + | 0.999902i | \(0.504450\pi\) | |||||||
\(678\) | 9.77981e16i | 1.00682i | ||||||||
\(679\) | −5.57061e16 | + | 4.31245e15i | −0.568439 | + | 0.0440053i | ||||
\(680\) | 6.31664e16 | 0.638899 | ||||||||
\(681\) | 3.13765e16 | + | 5.43457e16i | 0.314573 | + | 0.544857i | ||||
\(682\) | −5.58161e16 | − | 3.22255e16i | −0.554694 | − | 0.320253i | ||||
\(683\) | −3.01263e16 | + | 5.21802e16i | −0.296771 | + | 0.514022i | −0.975395 | − | 0.220463i | \(-0.929243\pi\) |
0.678625 | + | 0.734485i | \(0.262576\pi\) | |||||||
\(684\) | 6.03108e15 | − | 3.48205e15i | 0.0588923 | − | 0.0340015i | ||||
\(685\) | − | 2.15148e17i | − | 2.08255i | ||||||
\(686\) | 5.36498e16 | − | 5.05217e16i | 0.514782 | − | 0.484768i | ||||
\(687\) | −1.43334e17 | −1.36336 | ||||||||
\(688\) | 9.14636e15 | + | 1.58420e16i | 0.0862418 | + | 0.149375i | ||||
\(689\) | 1.34236e15 | + | 7.75010e14i | 0.0125474 | + | 0.00724422i | ||||
\(690\) | −4.83024e16 | + | 8.36622e16i | −0.447584 | + | 0.775238i | ||||
\(691\) | 1.24730e15 | − | 7.20129e14i | 0.0114578 | − | 0.00661518i | −0.494260 | − | 0.869314i | \(-0.664561\pi\) |
0.505718 | + | 0.862699i | \(0.331228\pi\) | |||||||
\(692\) | 4.46288e16i | 0.406423i | ||||||||
\(693\) | −1.50000e15 | − | 1.93763e16i | −0.0135423 | − | 0.174933i | ||||
\(694\) | −3.94909e16 | −0.353460 | ||||||||
\(695\) | −4.03230e15 | − | 6.98415e15i | −0.0357803 | − | 0.0619733i | ||||
\(696\) | −4.90211e16 | − | 2.83023e16i | −0.431248 | − | 0.248981i | ||||
\(697\) | 4.12400e16 | − | 7.14298e16i | 0.359685 | − | 0.622992i | ||||
\(698\) | −9.81877e15 | + | 5.66887e15i | −0.0849033 | + | 0.0490190i | ||||
\(699\) | − | 1.88894e17i | − | 1.61940i | ||||||
\(700\) | 4.02721e16 | − | 2.76024e16i | 0.342307 | − | 0.234617i | ||||
\(701\) | 1.76004e17 | 1.48325 | 0.741623 | − | 0.670817i | \(-0.234056\pi\) | ||||
0.741623 | + | 0.670817i | \(0.234056\pi\) | |||||||
\(702\) | 5.27336e16 | + | 9.13373e16i | 0.440621 | + | 0.763177i | ||||
\(703\) | 8.99409e16 | + | 5.19274e16i | 0.745118 | + | 0.430194i | ||||
\(704\) | 5.59668e15 | − | 9.69373e15i | 0.0459721 | − | 0.0796260i | ||||
\(705\) | −1.37903e17 | + | 7.96183e16i | −1.12315 | + | 0.648452i | ||||
\(706\) | 1.28265e16i | 0.103581i | ||||||||
\(707\) | 5.84656e16 | − | 1.22173e17i | 0.468149 | − | 0.978271i | ||||
\(708\) | −1.04606e17 | −0.830532 | ||||||||
\(709\) | −7.39721e16 | − | 1.28123e17i | −0.582358 | − | 1.00867i | −0.995199 | − | 0.0978712i | \(-0.968797\pi\) |
0.412841 | − | 0.910803i | \(-0.364537\pi\) | |||||||
\(710\) | −6.16125e16 | − | 3.55720e16i | −0.480971 | − | 0.277689i | ||||
\(711\) | 1.52932e16 | − | 2.64886e16i | 0.118380 | − | 0.205041i | ||||
\(712\) | 1.65947e15 | − | 9.58094e14i | 0.0127376 | − | 0.00735407i | ||||
\(713\) | 1.36051e17i | 1.03553i | ||||||||
\(714\) | 1.25633e17 | + | 6.01215e16i | 0.948235 | + | 0.453775i | ||||
\(715\) | 1.95515e17 | 1.46334 | ||||||||
\(716\) | −1.08431e16 | − | 1.87808e16i | −0.0804778 | − | 0.139392i | ||||
\(717\) | 8.43270e16 | + | 4.86862e16i | 0.620657 | + | 0.358336i | ||||
\(718\) | −1.34076e16 | + | 2.32227e16i | −0.0978601 | + | 0.169499i | ||||
\(719\) | −1.77523e16 | + | 1.02493e16i | −0.128493 | + | 0.0741857i | −0.562869 | − | 0.826546i | \(-0.690302\pi\) |
0.434375 | + | 0.900732i | \(0.356969\pi\) | |||||||
\(720\) | 1.12386e16i | 0.0806712i | ||||||||
\(721\) | −6.30828e16 | − | 9.20381e16i | −0.449055 | − | 0.655173i | ||||
\(722\) | 6.76009e16 | 0.477232 | ||||||||
\(723\) | 2.08129e16 | + | 3.60490e16i | 0.145714 | + | 0.252385i | ||||
\(724\) | 9.50049e16 | + | 5.48511e16i | 0.659651 | + | 0.380850i | ||||
\(725\) | −7.62704e16 | + | 1.32104e17i | −0.525204 | + | 0.909680i | ||||
\(726\) | 4.58000e16 | − | 2.64427e16i | 0.312785 | − | 0.180586i | ||||
\(727\) | 9.52642e15i | 0.0645243i | 0.999479 | + | 0.0322621i | \(0.0102711\pi\) | ||||
−0.999479 | + | 0.0322621i | \(0.989729\pi\) | |||||||
\(728\) | −7.71706e16 | + | 5.97411e15i | −0.518398 | + | 0.0401315i | ||||
\(729\) | −9.92481e16 | −0.661237 | ||||||||
\(730\) | −1.24989e17 | − | 2.16487e17i | −0.825913 | − | 1.43052i | ||||
\(731\) | 1.21786e17 | + | 7.03130e16i | 0.798164 | + | 0.460820i | ||||
\(732\) | −4.02666e16 | + | 6.97438e16i | −0.261745 | + | 0.453356i | ||||
\(733\) | 8.31903e16 | − | 4.80299e16i | 0.536351 | − | 0.309662i | −0.207248 | − | 0.978288i | \(-0.566451\pi\) |
0.743599 | + | 0.668626i | \(0.233117\pi\) | |||||||
\(734\) | 2.11857e16i | 0.135477i | ||||||||
\(735\) | 2.34529e17 | − | 3.65307e16i | 1.48755 | − | 0.231704i | ||||
\(736\) | −2.36283e16 | −0.148650 | ||||||||
\(737\) | 7.15676e16 | + | 1.23959e17i | 0.446593 | + | 0.773521i | ||||
\(738\) | 1.27089e16 | + | 7.33747e15i | 0.0786626 | + | 0.0454159i | ||||
\(739\) | −1.14442e17 | + | 1.98220e17i | −0.702618 | + | 1.21697i | 0.264926 | + | 0.964269i | \(0.414653\pi\) |
−0.967544 | + | 0.252702i | \(0.918681\pi\) | |||||||
\(740\) | −1.45146e17 | + | 8.38003e16i | −0.883926 | + | 0.510335i | ||||
\(741\) | 1.54480e17i | 0.933177i | ||||||||
\(742\) | −8.97321e13 | − | 1.15912e15i | −0.000537681 | − | 0.00694549i | ||||
\(743\) | −1.73334e17 | −1.03027 | −0.515136 | − | 0.857109i | \(-0.672258\pi\) | ||||
−0.515136 | + | 0.857109i | \(0.672258\pi\) | |||||||
\(744\) | 4.10904e16 | + | 7.11707e16i | 0.242272 | + | 0.419627i | ||||
\(745\) | −3.71052e17 | − | 2.14227e17i | −2.17019 | − | 1.25296i | ||||
\(746\) | 5.29906e16 | − | 9.17824e16i | 0.307444 | − | 0.532508i | ||||
\(747\) | −2.30529e16 | + | 1.33096e16i | −0.132679 | + | 0.0766022i | ||||
\(748\) | − | 8.60493e16i | − | 0.491290i | ||||||
\(749\) | 3.24079e16 | − | 2.22124e16i | 0.183553 | − | 0.125807i | ||||
\(750\) | −3.22119e16 | −0.180988 | ||||||||
\(751\) | −5.91242e16 | − | 1.02406e17i | −0.329553 | − | 0.570803i | 0.652870 | − | 0.757470i | \(-0.273565\pi\) |
−0.982423 | + | 0.186667i | \(0.940231\pi\) | |||||||
\(752\) | −3.37293e16 | − | 1.94736e16i | −0.186509 | − | 0.107681i | ||||
\(753\) | −4.23064e16 | + | 7.32769e16i | −0.232079 | + | 0.401973i | ||||
\(754\) | 2.09429e17 | − | 1.20914e17i | 1.13975 | − | 0.658035i | ||||
\(755\) | 4.21976e17i | 2.27827i | ||||||||
\(756\) | 3.41469e16 | − | 7.13554e16i | 0.182903 | − | 0.382205i | ||||
\(757\) | 2.23980e17 | 1.19024 | 0.595118 | − | 0.803638i | \(-0.297105\pi\) | ||||
0.595118 | + | 0.803638i | \(0.297105\pi\) | |||||||
\(758\) | 1.10847e17 | + | 1.91992e17i | 0.584396 | + | 1.01220i | ||||
\(759\) | 1.13970e17 | + | 6.58007e16i | 0.596129 | + | 0.344175i | ||||
\(760\) | 2.62745e16 | − | 4.55087e16i | 0.136349 | − | 0.236163i | ||||
\(761\) | 7.69944e16 | − | 4.44527e16i | 0.396416 | − | 0.228871i | −0.288521 | − | 0.957474i | \(-0.593163\pi\) |
0.684936 | + | 0.728603i | \(0.259830\pi\) | |||||||
\(762\) | 9.88258e15i | 0.0504824i | ||||||||
\(763\) | −7.80611e16 | − | 3.73559e16i | −0.395629 | − | 0.189327i | ||||
\(764\) | 1.27550e17 | 0.641390 | ||||||||
\(765\) | 4.31987e16 | + | 7.48224e16i | 0.215527 | + | 0.373304i | ||||
\(766\) | 1.84200e17 | + | 1.06348e17i | 0.911839 | + | 0.526450i | ||||
\(767\) | 2.23450e17 | − | 3.87027e17i | 1.09751 | − | 1.90094i | ||||
\(768\) | −1.23604e16 | + | 7.13628e15i | −0.0602372 | + | 0.0347780i | ||||
\(769\) | 6.79519e16i | 0.328582i | 0.986412 | + | 0.164291i | \(0.0525336\pi\) | ||||
−0.986412 | + | 0.164291i | \(0.947466\pi\) | |||||||
\(770\) | −8.29060e16 | − | 1.20960e17i | −0.397779 | − | 0.580361i | ||||
\(771\) | 2.15753e17 | 1.02714 | ||||||||
\(772\) | 4.05115e16 | + | 7.01679e16i | 0.191370 | + | 0.331463i | ||||
\(773\) | −1.75550e17 | − | 1.01354e17i | −0.822856 | − | 0.475076i | 0.0285441 | − | 0.999593i | \(-0.490913\pi\) |
−0.851400 | + | 0.524516i | \(0.824246\pi\) | |||||||
\(774\) | −1.25102e16 | + | 2.16682e16i | −0.0581859 | + | 0.100781i | ||||
\(775\) | 1.91794e17 | − | 1.10732e17i | 0.885166 | − | 0.511051i | ||||
\(776\) | − | 4.40156e16i | − | 0.201575i | ||||||
\(777\) | −3.68446e17 | + | 2.85230e16i | −1.67436 | + | 0.129619i | ||||
\(778\) | −9.41786e16 | −0.424693 | ||||||||
\(779\) | −3.43081e16 | − | 5.94233e16i | −0.153522 | − | 0.265908i | ||||
\(780\) | −2.15900e17 | − | 1.24650e17i | −0.958705 | − | 0.553509i | ||||
\(781\) | −4.84585e16 | + | 8.39326e16i | −0.213532 | + | 0.369849i | ||||
\(782\) | −1.57308e17 | + | 9.08218e16i | −0.687876 | + | 0.397145i | ||||
\(783\) | 2.47151e17i | 1.07248i | ||||||||
\(784\) | 3.64193e16 | + | 4.52102e16i | 0.156832 | + | 0.194688i | ||||
\(785\) | −1.67281e17 | −0.714873 | ||||||||
\(786\) | −8.82574e16 | − | 1.52866e17i | −0.374297 | − | 0.648301i | ||||
\(787\) | 5.94097e15 | + | 3.43002e15i | 0.0250040 | + | 0.0144361i | 0.512450 | − | 0.858717i | \(-0.328738\pi\) |
−0.487446 | + | 0.873153i | \(0.662071\pi\) | |||||||
\(788\) | −3.06112e15 | + | 5.30202e15i | −0.0127857 | + | 0.0221454i | ||||
\(789\) | 2.78727e17 | − | 1.60923e17i | 1.15536 | − | 0.667047i | ||||
\(790\) | − | 2.30795e17i | − | 0.949433i | ||||||
\(791\) | 2.41877e16 | + | 3.12445e17i | 0.0987498 | + | 1.27560i | ||||
\(792\) | 1.53100e16 | 0.0620332 | ||||||||
\(793\) | −1.72028e17 | − | 2.97961e17i | −0.691768 | − | 1.19818i | ||||
\(794\) | −2.71009e16 | − | 1.56467e16i | −0.108158 | − | 0.0624453i | ||||
\(795\) | 1.87226e15 | − | 3.24285e15i | 0.00741590 | − | 0.0128447i | ||||
\(796\) | −1.05721e17 | + | 6.10382e16i | −0.415608 | + | 0.239951i | ||||
\(797\) | − | 3.49871e17i | − | 1.36508i | −0.730848 | − | 0.682540i | \(-0.760875\pi\) | ||
0.730848 | − | 0.682540i | \(-0.239125\pi\) | |||||||
\(798\) | 9.55730e16 | − | 6.55056e16i | 0.370099 | − | 0.253665i | ||||
\(799\) | −2.99408e17 | −1.15076 | ||||||||
\(800\) | 1.92312e16 | + | 3.33093e16i | 0.0733611 | + | 0.127065i | ||||
\(801\) | 2.26978e15 | + | 1.31046e15i | 0.00859386 | + | 0.00496167i | ||||
\(802\) | 9.68264e16 | − | 1.67708e17i | 0.363871 | − | 0.630243i | ||||
\(803\) | −2.94913e17 | + | 1.70268e17i | −1.10002 | + | 0.635096i | ||||
\(804\) | − | 1.82511e17i | − | 0.675697i | ||||||
\(805\) | −1.33625e17 | + | 2.79230e17i | −0.491035 | + | 1.02609i | ||||
\(806\) | −3.51095e17 | −1.28060 | ||||||||
\(807\) | −2.80107e16 | − | 4.85160e16i | −0.101411 | − | 0.175648i | ||||
\(808\) | 9.24039e16 | + | 5.33494e16i | 0.332064 | + | 0.191717i | ||||
\(809\) | 2.06423e17 | − | 3.57535e17i | 0.736320 | − | 1.27534i | −0.217822 | − | 0.975989i | \(-0.569895\pi\) |
0.954142 | − | 0.299355i | \(-0.0967714\pi\) | |||||||
\(810\) | 2.76461e17 | − | 1.59615e17i | 0.978867 | − | 0.565149i | ||||
\(811\) | 1.30953e17i | 0.460246i | 0.973162 | + | 0.230123i | \(0.0739129\pi\) | ||||
−0.973162 | + | 0.230123i | \(0.926087\pi\) | |||||||
\(812\) | −1.63613e17 | − | 7.82963e16i | −0.570795 | − | 0.273152i | ||||
\(813\) | −6.14408e17 | −2.12771 | ||||||||
\(814\) | 1.14158e17 | + | 1.97728e17i | 0.392428 | + | 0.679706i | ||||
\(815\) | 4.49421e17 | + | 2.59473e17i | 1.53359 | + | 0.885416i | ||||
\(816\) | −5.48604e16 | + | 9.50210e16i | −0.185831 | + | 0.321869i | ||||
\(817\) | 1.01315e17 | − | 5.84943e16i | 0.340676 | − | 0.196689i | ||||
\(818\) | 3.10166e15i | 0.0103532i | ||||||||
\(819\) | −5.98525e16 | − | 8.73251e16i | −0.198326 | − | 0.289358i | ||||
\(820\) | 1.10733e17 | 0.364244 | ||||||||
\(821\) | 2.28661e17 | + | 3.96053e17i | 0.746679 | + | 1.29329i | 0.949406 | + | 0.314050i | \(0.101686\pi\) |
−0.202728 | + | 0.979235i | \(0.564981\pi\) | |||||||
\(822\) | 3.23647e17 | + | 1.86858e17i | 1.04916 | + | 0.605731i | ||||
\(823\) | −1.34881e17 | + | 2.33620e17i | −0.434061 | + | 0.751816i | −0.997218 | − | 0.0745339i | \(-0.976253\pi\) |
0.563157 | + | 0.826350i | \(0.309586\pi\) | |||||||
\(824\) | 7.61254e16 | − | 4.39510e16i | 0.243202 | − | 0.140413i | ||||
\(825\) | − | 2.14221e17i | − | 0.679421i | ||||||
\(826\) | −3.34195e17 | + | 2.58715e16i | −1.05225 | + | 0.0814593i | ||||
\(827\) | 3.09486e17 | 0.967403 | 0.483702 | − | 0.875233i | \(-0.339292\pi\) | ||||
0.483702 | + | 0.875233i | \(0.339292\pi\) | |||||||
\(828\) | −1.61591e16 | − | 2.79884e16i | −0.0501459 | − | 0.0868553i | ||||
\(829\) | −3.48271e17 | − | 2.01074e17i | −1.07298 | − | 0.619482i | −0.143982 | − | 0.989580i | \(-0.545991\pi\) |
−0.928993 | + | 0.370098i | \(0.879324\pi\) | |||||||
\(830\) | −1.00430e17 | + | 1.73950e17i | −0.307182 | + | 0.532054i | ||||
\(831\) | −1.63512e17 | + | 9.44039e16i | −0.496529 | + | 0.286671i | ||||
\(832\) | − | 6.09756e16i | − | 0.183830i | ||||||
\(833\) | 4.16243e17 | + | 1.61004e17i | 1.24588 | + | 0.481911i | ||||
\(834\) | 1.40083e16 | 0.0416284 | ||||||||
\(835\) | 2.15182e17 | + | 3.72707e17i | 0.634875 | + | 1.09964i | ||||
\(836\) | −6.19949e16 | − | 3.57928e16i | −0.181601 | − | 0.104847i | ||||
\(837\) | 1.79411e17 | − | 3.10750e17i | 0.521792 | − | 0.903770i | ||||
\(838\) | −7.98716e16 | + | 4.61139e16i | −0.230637 | + | 0.133158i | ||||
\(839\) | − | 6.07001e17i | − | 1.74027i | −0.492810 | − | 0.870137i | \(-0.664030\pi\) | ||
0.492810 | − | 0.870137i | \(-0.335970\pi\) | |||||||
\(840\) | 1.44322e16 | + | 1.86428e17i | 0.0410825 | + | 0.530684i | ||||
\(841\) | 2.12882e17 | 0.601678 | ||||||||
\(842\) | 1.75415e17 | + | 3.03828e17i | 0.492261 | + | 0.852620i | ||||
\(843\) | −4.95947e17 | − | 2.86335e17i | −1.38188 | − | 0.797827i | ||||
\(844\) | −1.32778e17 | + | 2.29978e17i | −0.367342 | + | 0.636255i | ||||
\(845\) | 4.95898e17 | − | 2.86307e17i | 1.36223 | − | 0.786487i | ||||
\(846\) | − | 5.32711e16i | − | 0.145301i | ||||||
\(847\) | 1.39782e17 | − | 9.58064e16i | 0.378574 | − | 0.259474i | ||||
\(848\) | 9.15863e14 | 0.00246295 | ||||||||
\(849\) | 3.14788e17 | + | 5.45229e17i | 0.840566 | + | 1.45590i | ||||
\(850\) | 2.56067e17 | + | 1.47840e17i | 0.678953 | + | 0.391994i | ||||
\(851\) | 2.40979e17 | − | 4.17388e17i | 0.634457 | − | 1.09891i | ||||
\(852\) | 1.07022e17 | − | 6.17890e16i | 0.279791 | − | 0.161538i | ||||
\(853\) | 9.20133e16i | 0.238867i | 0.992842 | + | 0.119434i | \(0.0381078\pi\) | ||||
−0.992842 | + | 0.119434i | \(0.961892\pi\) | |||||||
\(854\) | −1.11395e17 | + | 2.32776e17i | −0.287155 | + | 0.600056i | ||||
\(855\) | 7.18751e16 | 0.183985 | ||||||||
\(856\) | 1.54758e16 | + | 2.68049e16i | 0.0393378 | + | 0.0681351i | ||||
\(857\) | −4.68450e17 | − | 2.70460e17i | −1.18244 | − | 0.682681i | −0.225860 | − | 0.974160i | \(-0.572519\pi\) |
−0.956577 | + | 0.291479i | \(0.905853\pi\) | |||||||
\(858\) | −1.69806e17 | + | 2.94113e17i | −0.425628 | + | 0.737209i | ||||
\(859\) | −1.73078e16 | + | 9.99268e15i | −0.0430808 | + | 0.0248727i | −0.521386 | − | 0.853321i | \(-0.674585\pi\) |
0.478305 | + | 0.878194i | \(0.341251\pi\) | |||||||
\(860\) | 1.88796e17i | 0.466661i | ||||||||
\(861\) | 2.20239e17 | + | 1.05395e17i | 0.540599 | + | 0.258702i | ||||
\(862\) | 2.89794e15 | 0.00706393 | ||||||||
\(863\) | −2.56860e17 | − | 4.44894e17i | −0.621772 | − | 1.07694i | −0.989156 | − | 0.146871i | \(-0.953080\pi\) |
0.367384 | − | 0.930069i | \(-0.380254\pi\) | |||||||
\(864\) | 5.39687e16 | + | 3.11588e16i | 0.129736 | + | 0.0749029i | ||||
\(865\) | −2.30303e17 | + | 3.98896e17i | −0.549797 | + | 0.952276i | ||||
\(866\) | −1.54029e16 | + | 8.89285e15i | −0.0365169 | + | 0.0210831i | ||||
\(867\) | 3.70801e17i | 0.873024i | ||||||||
\(868\) | 1.48878e17 | + | 2.17214e17i | 0.348106 | + | 0.507889i | ||||
\(869\) | −3.14404e17 | −0.730079 | ||||||||
\(870\) | −2.92103e17 | − | 5.05938e17i | −0.673629 | − | 1.16676i | ||||
\(871\) | 6.75263e17 | + | 3.89863e17i | 1.54655 | + | 0.892901i | ||||
\(872\) | 3.40870e16 | − | 5.90404e16i | 0.0775336 | − | 0.134292i | ||||
\(873\) | 5.21378e16 | − | 3.01017e16i | 0.117779 | − | 0.0679996i | ||||
\(874\) | 1.51112e17i | 0.339023i | ||||||||
\(875\) | −1.02911e17 | + | 7.96676e15i | −0.229304 | + | 0.0177514i | ||||
\(876\) | 4.34215e17 | 0.960904 | ||||||||
\(877\) | 2.23428e17 | + | 3.86989e17i | 0.491066 | + | 0.850551i | 0.999947 | − | 0.0102854i | \(-0.00327400\pi\) |
−0.508881 | + | 0.860837i | \(0.669941\pi\) | |||||||
\(878\) | −3.14495e17 | − | 1.81574e17i | −0.686510 | − | 0.396356i | ||||
\(879\) | 2.71309e17 | − | 4.69920e17i | 0.588207 | − | 1.01880i | ||||
\(880\) | 1.00047e17 | − | 5.77623e16i | 0.215431 | − | 0.124379i | ||||
\(881\) | − | 1.15011e17i | − | 0.245971i | −0.992408 | − | 0.122985i | \(-0.960753\pi\) | ||
0.992408 | − | 0.122985i | \(-0.0392469\pi\) | |||||||
\(882\) | −2.86460e16 | + | 7.40584e16i | −0.0608490 | + | 0.157312i | ||||
\(883\) | 2.25816e16 | 0.0476421 | 0.0238210 | − | 0.999716i | \(-0.492417\pi\) | ||||
0.0238210 | + | 0.999716i | \(0.492417\pi\) | |||||||
\(884\) | −2.34376e17 | − | 4.05951e17i | −0.491134 | − | 0.850669i | ||||
\(885\) | −9.34976e17 | − | 5.39809e17i | −1.94599 | − | 1.12352i | ||||
\(886\) | −3.53494e16 | + | 6.12269e16i | −0.0730767 | + | 0.126573i | ||||
\(887\) | −3.28689e17 | + | 1.89769e17i | −0.674907 | + | 0.389658i | −0.797933 | − | 0.602746i | \(-0.794073\pi\) |
0.123026 | + | 0.992403i | \(0.460740\pi\) | |||||||
\(888\) | − | 2.91124e17i | − | 0.593746i | ||||||
\(889\) | 2.44419e15 | + | 3.15729e16i | 0.00495136 | + | 0.0639593i | ||||
\(890\) | 1.97766e16 | 0.0397935 | ||||||||
\(891\) | −2.17438e17 | − | 3.76613e17i | −0.434579 | − | 0.752712i | ||||
\(892\) | 1.86266e17 | + | 1.07541e17i | 0.369781 | + | 0.213493i | ||||
\(893\) | −1.24541e17 | + | 2.15711e17i | −0.245586 | + | 0.425367i | ||||
\(894\) | 6.44523e17 | − | 3.72115e17i | 1.26245 | − | 0.728874i | ||||
\(895\) | − | 2.23820e17i | − | 0.435472i | ||||||
\(896\) | −3.77240e16 | + | 2.58560e16i | −0.0729072 | + | 0.0499705i | ||||
\(897\) | 7.16896e17 | 1.37626 | ||||||||
\(898\) | 5.19417e16 | + | 8.99656e16i | 0.0990508 | + | 0.171561i | ||||
\(899\) | −7.12525e17 | − | 4.11376e17i | −1.34971 | − | 0.779258i | ||||
\(900\) | −2.63039e16 | + | 4.55597e16i | −0.0494954 | + | 0.0857286i | ||||
\(901\) | 6.09746e15 | − | 3.52037e15i | 0.0113972 | − | 0.00658020i | ||||
\(902\) | − | 1.50847e17i | − | 0.280090i | ||||||
\(903\) | −1.79695e17 | + | 3.75501e17i | −0.331444 | + | 0.692604i | ||||
\(904\) | −2.46876e17 | −0.452343 | ||||||||
\(905\) | 5.66108e17 | + | 9.80527e17i | 1.03040 | + | 1.78471i | ||||
\(906\) | −6.34777e17 | − | 3.66489e17i | −1.14776 | − | 0.662661i | ||||
\(907\) | −2.02438e17 | + | 3.50632e17i | −0.363620 | + | 0.629808i | −0.988554 | − | 0.150870i | \(-0.951793\pi\) |
0.624934 | + | 0.780678i | \(0.285126\pi\) | |||||||
\(908\) | −1.37187e17 | + | 7.92050e16i | −0.244792 | + | 0.141331i | ||||
\(909\) | 1.45940e17i | 0.258697i | ||||||||
\(910\) | −7.20586e17 | − | 3.44835e17i | −1.26893 | − | 0.607243i | ||||
\(911\) | 1.61744e17 | 0.282956 | 0.141478 | − | 0.989941i | \(-0.454815\pi\) | ||||
0.141478 | + | 0.989941i | \(0.454815\pi\) | |||||||
\(912\) | 4.56391e16 | + | 7.90492e16i | 0.0793173 | + | 0.137382i | ||||
\(913\) | 2.36966e17 | + | 1.36812e17i | 0.409130 | + | 0.236211i | ||||
\(914\) | −1.71202e17 | + | 2.96531e17i | −0.293651 | + | 0.508619i | ||||
\(915\) | −7.19813e17 | + | 4.15584e17i | −1.22657 | + | 0.708161i | ||||
\(916\) | − | 3.61824e17i | − | 0.612526i | ||||||
\(917\) | −3.19772e17 | − | 4.66550e17i | −0.537805 | − | 0.784660i | ||||
\(918\) | 4.79069e17 | 0.800465 | ||||||||
\(919\) | −2.48909e17 | − | 4.31123e17i | −0.413188 | − | 0.715662i | 0.582049 | − | 0.813154i | \(-0.302251\pi\) |
−0.995236 | + | 0.0974921i | \(0.968918\pi\) | |||||||
\(920\) | −2.11192e17 | − | 1.21932e17i | −0.348298 | − | 0.201090i | ||||
\(921\) | 2.99343e17 | − | 5.18478e17i | 0.490469 | − | 0.849517i | ||||
\(922\) | −1.50357e17 | + | 8.68088e16i | −0.244759 | + | 0.141312i | ||||
\(923\) | 5.27954e17i | 0.853858i | ||||||||
\(924\) | 2.53964e17 | − | 1.96605e16i | 0.408076 | − | 0.0315909i | ||||
\(925\) | −7.84535e17 | −1.25245 | ||||||||
\(926\) | −1.04700e17 | − | 1.81346e17i | −0.166066 | − | 0.287636i | ||||
\(927\) | 1.04122e17 | + | 6.01151e16i | 0.164084 | + | 0.0947339i | ||||
\(928\) | 7.14448e16 | − | 1.23746e17i | 0.111862 | − | 0.193751i | ||||
\(929\) | 2.35012e17 | − | 1.35684e17i | 0.365591 | − | 0.211074i | −0.305939 | − | 0.952051i | \(-0.598970\pi\) |
0.671531 | + | 0.740977i | \(0.265637\pi\) | |||||||
\(930\) | 8.48173e17i | 1.31095i | ||||||||
\(931\) | 2.89136e17 | − | 2.32915e17i | 0.444021 | − | 0.357684i | ||||
\(932\) | 4.76832e17 | 0.727562 | ||||||||
\(933\) | 1.97506e17 | + | 3.42091e17i | 0.299427 | + | 0.518623i | ||||
\(934\) | 5.55466e17 | + | 3.20699e17i | 0.836713 | + | 0.483076i | ||||
\(935\) | 4.44050e17 | − | 7.69116e17i | 0.664602 | − | 1.15112i | ||||
\(936\) | 7.22273e16 | − | 4.17005e16i | 0.107410 | − | 0.0620134i | ||||
\(937\) | − | 1.19374e18i | − | 1.76389i | −0.471356 | − | 0.881943i | \(-0.656235\pi\) | ||
0.471356 | − | 0.881943i | \(-0.343765\pi\) | |||||||
\(938\) | −4.51391e16 | − | 5.83085e17i | −0.0662729 | − | 0.856081i | ||||
\(939\) | 2.70015e17 | 0.393907 | ||||||||
\(940\) | −2.00984e17 | − | 3.48114e17i | −0.291336 | − | 0.504608i | ||||
\(941\) | −2.05289e17 | − | 1.18523e17i | −0.295684 | − | 0.170713i | 0.344819 | − | 0.938669i | \(-0.387940\pi\) |
−0.640502 | + | 0.767956i | \(0.721274\pi\) | |||||||
\(942\) | 1.45285e17 | − | 2.51640e17i | 0.207929 | − | 0.360143i | ||||
\(943\) | −2.75766e17 | + | 1.59213e17i | −0.392166 | + | 0.226417i | ||||
\(944\) | − | 2.64061e17i | − | 0.373140i | ||||||
\(945\) | 6.73431e17 | − | 4.61569e17i | 0.945589 | − | 0.648106i | ||||
\(946\) | 2.57190e17 | 0.358845 | ||||||||
\(947\) | −1.20199e17 | − | 2.08191e17i | −0.166648 | − | 0.288643i | 0.770591 | − | 0.637330i | \(-0.219961\pi\) |
−0.937239 | + | 0.348687i | \(0.886628\pi\) | |||||||
\(948\) | 3.47185e17 | + | 2.00447e17i | 0.478311 | + | 0.276153i | ||||
\(949\) | −9.27532e17 | + | 1.60653e18i | −1.26979 | + | 2.19934i | ||||
\(950\) | 2.13025e17 | − | 1.22990e17i | 0.289794 | − | 0.167313i | ||||
\(951\) | 1.20728e18i | 1.63202i | ||||||||
\(952\) | −1.51767e17 | + | 3.17142e17i | −0.203871 | + | 0.426021i | ||||
\(953\) | 1.51022e17 | 0.201596 | 0.100798 | − | 0.994907i | \(-0.467860\pi\) | ||||
0.100798 | + | 0.994907i | \(0.467860\pi\) | |||||||
\(954\) | 6.26348e14 | + | 1.08487e15i | 0.000830855 | + | 0.00143908i | ||||
\(955\) | 1.14006e18 | + | 6.58212e17i | 1.50282 | + | 0.867652i | ||||
\(956\) | −1.22901e17 | + | 2.12870e17i | −0.160993 | + | 0.278848i | ||||
\(957\) | −6.89221e17 | + | 3.97922e17i | −0.897195 | + | 0.517996i | ||||
\(958\) | − | 1.67484e17i | − | 0.216660i | ||||||
\(959\) | 1.08020e18 | + | 5.16928e17i | 1.38865 | + | 0.664535i | ||||
\(960\) | −1.47304e17 | −0.188186 | ||||||||
\(961\) | 2.03421e17 | + | 3.52335e17i | 0.258259 | + | 0.447317i | ||||
\(962\) | 1.07712e18 | + | 6.21875e17i | 1.35898 | + | 0.784607i | ||||
\(963\) | −2.11674e16 | + | 3.66630e16i | −0.0265406 | + | 0.0459696i | ||||
\(964\) | −9.09999e16 | + | 5.25388e16i | −0.113391 | + | 0.0654664i | ||||
\(965\) | 8.36223e17i | 1.03552i | ||||||||
\(966\) | −3.03991e17 | − | 4.43525e17i | −0.374109 | − | 0.545828i | ||||
\(967\) | −1.07464e18 | −1.31433 | −0.657166 | − | 0.753746i | \(-0.728245\pi\) | ||||
−0.657166 | + | 0.753746i | \(0.728245\pi\) | |||||||
\(968\) | 6.67503e16 | + | 1.15615e17i | 0.0811336 | + | 0.140528i | ||||
\(969\) | 6.07694e17 | + | 3.50852e17i | 0.734078 | + | 0.423820i | ||||
\(970\) | 2.27139e17 | − | 3.93416e17i | 0.272685 | − | 0.472303i | ||||
\(971\) | 1.29510e18 | − | 7.47725e17i | 1.54521 | − | 0.892127i | 0.546712 | − | 0.837320i | \(-0.315879\pi\) |
0.998497 | − | 0.0548066i | \(-0.0174542\pi\) | |||||||
\(972\) | 1.97174e17i | 0.233804i | ||||||||
\(973\) | 4.47538e16 | − | 3.46459e15i | 0.0527416 | − | 0.00408295i | ||||
\(974\) | −7.76194e17 | −0.909110 | ||||||||
\(975\) | −5.83484e17 | − | 1.01062e18i | −0.679205 | − | 1.17642i | ||||
\(976\) | −1.76057e17 | − | 1.01647e17i | −0.203683 | − | 0.117596i | ||||
\(977\) | −4.73033e16 | + | 8.19317e16i | −0.0543906 | + | 0.0942073i | −0.891939 | − | 0.452156i | \(-0.850655\pi\) |
0.837548 | + | 0.546364i | \(0.183988\pi\) | |||||||
\(978\) | −7.80650e17 | + | 4.50709e17i | −0.892120 | + | 0.515066i | ||||
\(979\) | − | 2.69410e16i | − | 0.0305997i | ||||||
\(980\) | 9.22161e16 | + | 5.92031e17i | 0.104100 | + | 0.668326i | ||||
\(981\) | 9.32467e16 | 0.104621 | ||||||||
\(982\) | 2.68693e17 | + | 4.65391e17i | 0.299632 | + | 0.518978i | ||||
\(983\) | −1.78182e17 | − | 1.02873e17i | −0.197488 | − | 0.114020i | 0.397995 | − | 0.917388i | \(-0.369706\pi\) |
−0.595483 | + | 0.803368i | \(0.703039\pi\) | |||||||
\(984\) | −9.61719e16 | + | 1.66575e17i | −0.105944 | + | 0.183501i | ||||
\(985\) | −5.47212e16 | + | 3.15933e16i | −0.0599153 | + | 0.0345921i | ||||
\(986\) | − | 1.09847e18i | − | 1.19544i | ||||||
\(987\) | −6.84086e16 | − | 8.83669e17i | −0.0739959 | − | 0.955843i | ||||
\(988\) | −3.89961e17 | −0.419256 | ||||||||
\(989\) | −2.71454e17 | − | 4.70172e17i | −0.290081 | − | 0.502434i | ||||
\(990\) | 1.36842e17 | + | 7.90058e16i | 0.145348 | + | 0.0839166i | ||||
\(991\) | −4.00321e16 | + | 6.93377e16i | −0.0422636 | + | 0.0732027i | −0.886383 | − | 0.462952i | \(-0.846790\pi\) |
0.844120 | + | 0.536155i | \(0.180124\pi\) | |||||||
\(992\) | −1.79659e17 | + | 1.03726e17i | −0.188529 | + | 0.108848i | ||||
\(993\) | − | 1.82219e17i | − | 0.190063i | ||||||
\(994\) | 3.26631e17 | − | 2.23873e17i | 0.338641 | − | 0.232104i | ||||
\(995\) | −1.25993e18 | −1.29840 | ||||||||
\(996\) | −1.74448e17 | − | 3.02153e17i | −0.178694 | − | 0.309508i | ||||
\(997\) | 9.46237e17 | + | 5.46310e17i | 0.963449 | + | 0.556248i | 0.897233 | − | 0.441558i | \(-0.145574\pi\) |
0.0662163 | + | 0.997805i | \(0.478907\pi\) | |||||||
\(998\) | 6.68529e16 | − | 1.15793e17i | 0.0676608 | − | 0.117192i | ||||
\(999\) | −1.10083e18 | + | 6.35562e17i | −1.10745 | + | 0.639388i |
(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 | 14.13.d.a.3.3 | ✓ | 16 | |
3.2 | odd | 2 | 126.13.n.a.73.8 | 16 | |||
4.3 | odd | 2 | 112.13.s.c.17.3 | 16 | |||
7.2 | even | 3 | 98.13.d.a.19.2 | 16 | |||
7.3 | odd | 6 | 98.13.b.c.97.14 | 16 | |||
7.4 | even | 3 | 98.13.b.c.97.11 | 16 | |||
7.5 | odd | 6 | inner | 14.13.d.a.5.3 | yes | 16 | |
7.6 | odd | 2 | 98.13.d.a.31.2 | 16 | |||
21.5 | even | 6 | 126.13.n.a.19.8 | 16 | |||
28.19 | even | 6 | 112.13.s.c.33.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.13.d.a.3.3 | ✓ | 16 | 1.1 | even | 1 | trivial | |
14.13.d.a.5.3 | yes | 16 | 7.5 | odd | 6 | inner | |
98.13.b.c.97.11 | 16 | 7.4 | even | 3 | |||
98.13.b.c.97.14 | 16 | 7.3 | odd | 6 | |||
98.13.d.a.19.2 | 16 | 7.2 | even | 3 | |||
98.13.d.a.31.2 | 16 | 7.6 | odd | 2 | |||
112.13.s.c.17.3 | 16 | 4.3 | odd | 2 | |||
112.13.s.c.33.3 | 16 | 28.19 | even | 6 | |||
126.13.n.a.19.8 | 16 | 21.5 | even | 6 | |||
126.13.n.a.73.8 | 16 | 3.2 | odd | 2 |