Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,12,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 12, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 12);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 12 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), 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: | \(12.2934908890\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(21\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.12.e.a.13.3 |
$q$-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 \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −42.3872 | + | 15.8533i | −0.936634 | + | 0.350311i | ||||
\(3\) | −435.014 | + | 435.014i | −1.03356 | + | 1.03356i | −0.0341434 | + | 0.999417i | \(0.510870\pi\) |
−0.999417 | + | 0.0341434i | \(0.989130\pi\) | |||||||
\(4\) | 1545.35 | − | 1343.95i | 0.754565 | − | 0.656225i | ||||
\(5\) | −1517.34 | − | 1517.34i | −0.217144 | − | 0.217144i | 0.590150 | − | 0.807294i | \(-0.299069\pi\) |
−0.807294 | + | 0.590150i | \(0.799069\pi\) | |||||||
\(6\) | 11542.6 | − | 25335.4i | 0.606000 | − | 1.33013i | ||||
\(7\) | − | 59722.7i | − | 1.34307i | −0.740971 | − | 0.671537i | \(-0.765634\pi\) | ||
0.740971 | − | 0.671537i | \(-0.234366\pi\) | |||||||
\(8\) | −44197.0 | + | 81465.1i | −0.476868 | + | 0.878975i | ||||
\(9\) | − | 201326.i | − | 1.13649i | ||||||
\(10\) | 88370.6 | + | 40261.0i | 0.279452 | + | 0.127317i | ||||
\(11\) | 56196.6 | + | 56196.6i | 0.105208 | + | 0.105208i | 0.757752 | − | 0.652543i | \(-0.226298\pi\) |
−0.652543 | + | 0.757752i | \(0.726298\pi\) | |||||||
\(12\) | −87611.4 | + | 1.25688e6i | −0.101640 | + | 1.45814i | ||||
\(13\) | −315796. | + | 315796.i | −0.235895 | + | 0.235895i | −0.815148 | − | 0.579253i | \(-0.803344\pi\) |
0.579253 | + | 0.815148i | \(0.303344\pi\) | |||||||
\(14\) | 946798. | + | 2.53148e6i | 0.470493 | + | 1.25797i | ||||
\(15\) | 1.32013e6 | 0.448863 | ||||||||
\(16\) | 581902. | − | 4.15374e6i | 0.138736 | − | 0.990329i | ||||
\(17\) | 8.11170e6 | 1.38562 | 0.692808 | − | 0.721122i | \(-0.256373\pi\) | ||||
0.692808 | + | 0.721122i | \(0.256373\pi\) | |||||||
\(18\) | 3.19168e6 | + | 8.53367e6i | 0.398126 | + | 1.06448i | ||||
\(19\) | −1.33811e7 | + | 1.33811e7i | −1.23978 | + | 1.23978i | −0.279695 | + | 0.960089i | \(0.590233\pi\) |
−0.960089 | + | 0.279695i | \(0.909767\pi\) | |||||||
\(20\) | −4.38405e6 | − | 305591.i | −0.306345 | − | 0.0213538i | ||||
\(21\) | 2.59802e7 | + | 2.59802e7i | 1.38815 | + | 1.38815i | ||||
\(22\) | −3.27292e6 | − | 1.49112e6i | −0.135397 | − | 0.0616861i | ||||
\(23\) | 2.84613e7i | 0.922043i | 0.887389 | + | 0.461022i | \(0.152517\pi\) | ||||
−0.887389 | + | 0.461022i | \(0.847483\pi\) | |||||||
\(24\) | −1.62121e7 | − | 5.46647e7i | −0.415602 | − | 1.40135i | ||||
\(25\) | − | 4.42235e7i | − | 0.905697i | ||||||
\(26\) | 8.37932e6 | − | 1.83921e7i | 0.138311 | − | 0.303584i | ||||
\(27\) | 1.05184e7 | + | 1.05184e7i | 0.141075 | + | 0.141075i | ||||
\(28\) | −8.02643e7 | − | 9.22924e7i | −0.881359 | − | 1.01344i | ||||
\(29\) | 7.59695e7 | − | 7.59695e7i | 0.687781 | − | 0.687781i | −0.273960 | − | 0.961741i | \(-0.588334\pi\) |
0.961741 | + | 0.273960i | \(0.0883335\pi\) | |||||||
\(30\) | −5.59565e7 | + | 2.09283e7i | −0.420420 | + | 0.157241i | ||||
\(31\) | 5.67278e7 | 0.355882 | 0.177941 | − | 0.984041i | \(-0.443056\pi\) | ||||
0.177941 | + | 0.984041i | \(0.443056\pi\) | |||||||
\(32\) | 4.11851e7 | + | 1.85291e8i | 0.216978 | + | 0.976177i | ||||
\(33\) | −4.88926e7 | −0.217479 | ||||||||
\(34\) | −3.43832e8 | + | 1.28597e8i | −1.29782 | + | 0.485396i | ||||
\(35\) | −9.06196e7 | + | 9.06196e7i | −0.291641 | + | 0.291641i | ||||
\(36\) | −2.70573e8 | − | 3.11120e8i | −0.745796 | − | 0.857558i | ||||
\(37\) | 3.75680e8 | + | 3.75680e8i | 0.890654 | + | 0.890654i | 0.994585 | − | 0.103931i | \(-0.0331421\pi\) |
−0.103931 | + | 0.994585i | \(0.533142\pi\) | |||||||
\(38\) | 3.55053e8 | − | 7.79319e8i | 0.726914 | − | 1.59553i | ||||
\(39\) | − | 2.74751e8i | − | 0.487623i | ||||||
\(40\) | 1.90672e8 | − | 5.65483e7i | 0.294413 | − | 0.0873151i | ||||
\(41\) | − | 1.51696e7i | − | 0.0204486i | −0.999948 | − | 0.0102243i | \(-0.996745\pi\) | ||
0.999948 | − | 0.0102243i | \(-0.00325455\pi\) | |||||||
\(42\) | −1.51310e9 | − | 6.89356e8i | −1.78647 | − | 0.813903i | ||||
\(43\) | 1.08339e9 | + | 1.08339e9i | 1.12385 | + | 1.12385i | 0.991158 | + | 0.132689i | \(0.0423610\pi\) |
0.132689 | + | 0.991158i | \(0.457639\pi\) | |||||||
\(44\) | 1.62369e8 | + | 1.13180e7i | 0.148427 | + | 0.0103461i | ||||
\(45\) | −3.05481e8 | + | 3.05481e8i | −0.246783 | + | 0.246783i | ||||
\(46\) | −4.51204e8 | − | 1.20639e9i | −0.323002 | − | 0.863617i | ||||
\(47\) | 2.79798e9 | 1.77954 | 0.889768 | − | 0.456414i | \(-0.150866\pi\) | ||||
0.889768 | + | 0.456414i | \(0.150866\pi\) | |||||||
\(48\) | 1.55380e9 | + | 2.06007e9i | 0.880173 | + | 1.16696i | ||||
\(49\) | −1.58947e9 | −0.803848 | ||||||||
\(50\) | 7.01086e8 | + | 1.87451e9i | 0.317275 | + | 0.848306i | ||||
\(51\) | −3.52870e9 | + | 3.52870e9i | −1.43212 | + | 1.43212i | ||||
\(52\) | −6.36011e7 | + | 9.12430e8i | −0.0231978 | + | 0.332798i | ||||
\(53\) | 2.03657e9 | + | 2.03657e9i | 0.668932 | + | 0.668932i | 0.957469 | − | 0.288537i | \(-0.0931688\pi\) |
−0.288537 | + | 0.957469i | \(0.593169\pi\) | |||||||
\(54\) | −6.12597e8 | − | 2.79095e8i | −0.181555 | − | 0.0827153i | ||||
\(55\) | − | 1.70539e8i | − | 0.0456908i | ||||||
\(56\) | 4.86531e9 | + | 2.63956e9i | 1.18053 | + | 0.640469i | ||||
\(57\) | − | 1.16419e10i | − | 2.56278i | ||||||
\(58\) | −2.01577e9 | + | 4.42450e9i | −0.403262 | + | 0.885136i | ||||
\(59\) | −4.23123e9 | − | 4.23123e9i | −0.770513 | − | 0.770513i | 0.207683 | − | 0.978196i | \(-0.433408\pi\) |
−0.978196 | + | 0.207683i | \(0.933408\pi\) | |||||||
\(60\) | 2.04006e9 | − | 1.77418e9i | 0.338696 | − | 0.294555i | ||||
\(61\) | 6.54407e9 | − | 6.54407e9i | 0.992051 | − | 0.992051i | −0.00791726 | − | 0.999969i | \(-0.502520\pi\) |
0.999969 | + | 0.00791726i | \(0.00252017\pi\) | |||||||
\(62\) | −2.40453e9 | + | 8.99320e8i | −0.333331 | + | 0.124669i | ||||
\(63\) | −1.20238e10 | −1.52640 | ||||||||
\(64\) | −4.68318e9 | − | 7.20103e9i | −0.545194 | − | 0.838310i | ||||
\(65\) | 9.58341e8 | 0.102446 | ||||||||
\(66\) | 2.07242e9 | − | 7.75106e8i | 0.203698 | − | 0.0761850i | ||||
\(67\) | −8.01903e9 | + | 8.01903e9i | −0.725622 | + | 0.725622i | −0.969744 | − | 0.244122i | \(-0.921500\pi\) |
0.244122 | + | 0.969744i | \(0.421500\pi\) | |||||||
\(68\) | 1.25354e10 | − | 1.09017e10i | 1.04554 | − | 0.909277i | ||||
\(69\) | −1.23810e10 | − | 1.23810e10i | −0.952987 | − | 0.952987i | ||||
\(70\) | 2.40450e9 | − | 5.27773e9i | 0.170996 | − | 0.375325i | ||||
\(71\) | 1.40718e10i | 0.925608i | 0.886461 | + | 0.462804i | \(0.153157\pi\) | ||||
−0.886461 | + | 0.462804i | \(0.846843\pi\) | |||||||
\(72\) | 1.64011e10 | + | 8.89803e9i | 0.998950 | + | 0.541958i | ||||
\(73\) | − | 6.29343e9i | − | 0.355314i | −0.984093 | − | 0.177657i | \(-0.943148\pi\) | ||
0.984093 | − | 0.177657i | \(-0.0568517\pi\) | |||||||
\(74\) | −2.18798e10 | − | 9.96828e9i | −1.14622 | − | 0.522211i | ||||
\(75\) | 1.92378e10 | + | 1.92378e10i | 0.936092 | + | 0.936092i | ||||
\(76\) | −2.69494e9 | + | 3.86619e10i | −0.121920 | + | 1.74908i | ||||
\(77\) | 3.35621e9 | − | 3.35621e9i | 0.141303 | − | 0.141303i | ||||
\(78\) | 4.35570e9 | + | 1.16459e10i | 0.170820 | + | 0.456724i | ||||
\(79\) | −3.46459e10 | −1.26678 | −0.633392 | − | 0.773831i | \(-0.718338\pi\) | ||||
−0.633392 | + | 0.773831i | \(0.718338\pi\) | |||||||
\(80\) | −7.18558e9 | + | 5.41970e9i | −0.245170 | + | 0.184918i | ||||
\(81\) | 2.65131e10 | 0.844875 | ||||||||
\(82\) | 2.40488e8 | + | 6.42997e8i | 0.00716336 | + | 0.0191528i | ||||
\(83\) | 4.29998e10 | − | 4.29998e10i | 1.19822 | − | 1.19822i | 0.223521 | − | 0.974699i | \(-0.428245\pi\) |
0.974699 | − | 0.223521i | \(-0.0717553\pi\) | |||||||
\(84\) | 7.50645e10 | + | 5.23238e9i | 1.95839 | + | 0.136510i | ||||
\(85\) | −1.23082e10 | − | 1.23082e10i | −0.300878 | − | 0.300878i | ||||
\(86\) | −6.30969e10 | − | 2.87465e10i | −1.44633 | − | 0.658937i | ||||
\(87\) | 6.60955e10i | 1.42173i | ||||||||
\(88\) | −7.06179e9 | + | 2.09434e9i | −0.142646 | + | 0.0423050i | ||||
\(89\) | − | 3.39308e9i | − | 0.0644093i | −0.999481 | − | 0.0322047i | \(-0.989747\pi\) | ||
0.999481 | − | 0.0322047i | \(-0.0102528\pi\) | |||||||
\(90\) | 8.10561e9 | − | 1.77913e10i | 0.144694 | − | 0.317596i | ||||
\(91\) | 1.88602e10 | + | 1.88602e10i | 0.316824 | + | 0.316824i | ||||
\(92\) | 3.82505e10 | + | 4.39826e10i | 0.605068 | + | 0.695742i | ||||
\(93\) | −2.46773e10 | + | 2.46773e10i | −0.367826 | + | 0.367826i | ||||
\(94\) | −1.18599e11 | + | 4.43571e10i | −1.66677 | + | 0.623390i | ||||
\(95\) | 4.06073e10 | 0.538423 | ||||||||
\(96\) | −9.85200e10 | − | 6.26878e10i | −1.23320 | − | 0.784678i | ||||
\(97\) | 1.55551e10 | 0.183920 | 0.0919601 | − | 0.995763i | \(-0.470687\pi\) | ||||
0.0919601 | + | 0.995763i | \(0.470687\pi\) | |||||||
\(98\) | 6.73732e10 | − | 2.51983e10i | 0.752911 | − | 0.281596i | ||||
\(99\) | 1.13139e10 | − | 1.13139e10i | 0.119569 | − | 0.119569i | ||||
\(100\) | −5.94341e10 | − | 6.83407e10i | −0.594341 | − | 0.683407i | ||||
\(101\) | 8.04221e10 | + | 8.04221e10i | 0.761391 | + | 0.761391i | 0.976574 | − | 0.215183i | \(-0.0690347\pi\) |
−0.215183 | + | 0.976574i | \(0.569035\pi\) | |||||||
\(102\) | 9.36304e10 | − | 2.05513e11i | 0.839684 | − | 1.84306i | ||||
\(103\) | 2.48411e10i | 0.211138i | 0.994412 | + | 0.105569i | \(0.0336663\pi\) | ||||
−0.994412 | + | 0.105569i | \(0.966334\pi\) | |||||||
\(104\) | −1.17691e10 | − | 3.96836e10i | −0.0948550 | − | 0.319837i | ||||
\(105\) | − | 7.88415e10i | − | 0.602856i | ||||||
\(106\) | −1.18611e11 | − | 5.40382e10i | −0.860878 | − | 0.392210i | ||||
\(107\) | 5.76499e10 | + | 5.76499e10i | 0.397363 | + | 0.397363i | 0.877302 | − | 0.479939i | \(-0.159341\pi\) |
−0.479939 | + | 0.877302i | \(0.659341\pi\) | |||||||
\(108\) | 3.03908e10 | + | 2.11840e9i | 0.199027 | + | 0.0138732i | ||||
\(109\) | −5.69123e10 | + | 5.69123e10i | −0.354291 | + | 0.354291i | −0.861704 | − | 0.507412i | \(-0.830602\pi\) |
0.507412 | + | 0.861704i | \(0.330602\pi\) | |||||||
\(110\) | 2.70359e9 | + | 7.22866e9i | 0.0160060 | + | 0.0427955i | ||||
\(111\) | −3.26852e11 | −1.84109 | ||||||||
\(112\) | −2.48073e11 | − | 3.47528e10i | −1.33009 | − | 0.186333i | ||||
\(113\) | 1.29979e11 | 0.663653 | 0.331826 | − | 0.943340i | \(-0.392335\pi\) | ||||
0.331826 | + | 0.943340i | \(0.392335\pi\) | |||||||
\(114\) | 1.84562e11 | + | 4.93467e11i | 0.897770 | + | 2.40039i | ||||
\(115\) | 4.31854e10 | − | 4.31854e10i | 0.200216 | − | 0.200216i | ||||
\(116\) | 1.53002e10 | − | 2.19499e11i | 0.0676360 | − | 0.970315i | ||||
\(117\) | 6.35782e10 | + | 6.35782e10i | 0.268093 | + | 0.268093i | ||||
\(118\) | 2.46429e11 | + | 1.12271e11i | 0.991608 | + | 0.451770i | ||||
\(119\) | − | 4.84453e11i | − | 1.86099i | ||||||
\(120\) | −5.83457e10 | + | 1.07544e11i | −0.214048 | + | 0.394539i | ||||
\(121\) | − | 2.78996e11i | − | 0.977862i | ||||||
\(122\) | −1.73640e11 | + | 3.81130e11i | −0.581662 | + | 1.27671i | ||||
\(123\) | 6.59899e9 | + | 6.59899e9i | 0.0211348 | + | 0.0211348i | ||||
\(124\) | 8.76642e10 | − | 7.62393e10i | 0.268536 | − | 0.233539i | ||||
\(125\) | −1.41191e11 | + | 1.41191e11i | −0.413811 | + | 0.413811i | ||||
\(126\) | 5.09653e11 | − | 1.90616e11i | 1.42967 | − | 0.534713i | ||||
\(127\) | −9.81625e9 | −0.0263648 | −0.0131824 | − | 0.999913i | \(-0.504196\pi\) | ||||
−0.0131824 | + | 0.999913i | \(0.504196\pi\) | |||||||
\(128\) | 3.12667e11 | + | 2.30988e11i | 0.804316 | + | 0.594202i | ||||
\(129\) | −9.42576e11 | −2.32313 | ||||||||
\(130\) | −4.06214e10 | + | 1.51928e10i | −0.0959547 | + | 0.0358881i | ||||
\(131\) | 3.01725e11 | − | 3.01725e11i | 0.683312 | − | 0.683312i | −0.277433 | − | 0.960745i | \(-0.589484\pi\) |
0.960745 | + | 0.277433i | \(0.0894836\pi\) | |||||||
\(132\) | −7.55561e10 | + | 6.57092e10i | −0.164102 | + | 0.142715i | ||||
\(133\) | 7.99153e11 | + | 7.99153e11i | 1.66512 | + | 1.66512i | ||||
\(134\) | 2.12777e11 | − | 4.67032e11i | 0.425449 | − | 0.933835i | ||||
\(135\) | − | 3.19200e10i | − | 0.0612671i | ||||||
\(136\) | −3.58513e11 | + | 6.60821e11i | −0.660756 | + | 1.21792i | ||||
\(137\) | − | 2.21227e11i | − | 0.391629i | −0.980641 | − | 0.195814i | \(-0.937265\pi\) | ||
0.980641 | − | 0.195814i | \(-0.0627350\pi\) | |||||||
\(138\) | 7.21077e11 | + | 3.28518e11i | 1.22644 | + | 0.558758i | ||||
\(139\) | 1.76441e11 | + | 1.76441e11i | 0.288415 | + | 0.288415i | 0.836453 | − | 0.548038i | \(-0.184625\pi\) |
−0.548038 | + | 0.836453i | \(0.684625\pi\) | |||||||
\(140\) | −1.82507e10 | + | 2.61827e11i | −0.0286798 | + | 0.411444i | ||||
\(141\) | −1.21716e12 | + | 1.21716e12i | −1.83926 | + | 1.83926i | ||||
\(142\) | −2.23083e11 | − | 5.96462e11i | −0.324250 | − | 0.866956i | ||||
\(143\) | −3.54934e10 | −0.0496363 | ||||||||
\(144\) | −8.36258e11 | − | 1.17152e11i | −1.12550 | − | 0.157673i | ||||
\(145\) | −2.30543e11 | −0.298695 | ||||||||
\(146\) | 9.97714e10 | + | 2.66761e11i | 0.124470 | + | 0.332799i | ||||
\(147\) | 6.91441e11 | − | 6.91441e11i | 0.830825 | − | 0.830825i | ||||
\(148\) | 1.08545e12 | + | 7.56617e10i | 1.25653 | + | 0.0875864i | ||||
\(149\) | 1.96547e10 | + | 1.96547e10i | 0.0219251 | + | 0.0219251i | 0.717984 | − | 0.696059i | \(-0.245065\pi\) |
−0.696059 | + | 0.717984i | \(0.745065\pi\) | |||||||
\(150\) | −1.12042e12 | − | 5.10455e11i | −1.20470 | − | 0.548852i | ||||
\(151\) | − | 1.18330e12i | − | 1.22666i | −0.789828 | − | 0.613329i | \(-0.789830\pi\) | ||
0.789828 | − | 0.613329i | \(-0.210170\pi\) | |||||||
\(152\) | −4.98686e11 | − | 1.68149e12i | −0.498526 | − | 1.68095i | ||||
\(153\) | − | 1.63310e12i | − | 1.57474i | ||||||
\(154\) | −8.90536e10 | + | 1.95467e11i | −0.0828490 | + | 0.181849i | ||||
\(155\) | −8.60753e10 | − | 8.60753e10i | −0.0772777 | − | 0.0772777i | ||||
\(156\) | −3.69252e11 | − | 4.24587e11i | −0.319991 | − | 0.367943i | ||||
\(157\) | 4.40152e11 | − | 4.40152e11i | 0.368260 | − | 0.368260i | −0.498582 | − | 0.866842i | \(-0.666146\pi\) |
0.866842 | + | 0.498582i | \(0.166146\pi\) | |||||||
\(158\) | 1.46854e12 | − | 5.49250e11i | 1.18651 | − | 0.443768i | ||||
\(159\) | −1.77187e12 | −1.38276 | ||||||||
\(160\) | 2.18657e11 | − | 3.43641e11i | 0.164855 | − | 0.259086i | ||||
\(161\) | 1.69978e12 | 1.23837 | ||||||||
\(162\) | −1.12382e12 | + | 4.20319e11i | −0.791339 | + | 0.295969i | ||||
\(163\) | 1.90450e11 | − | 1.90450e11i | 0.129643 | − | 0.129643i | −0.639308 | − | 0.768951i | \(-0.720779\pi\) |
0.768951 | + | 0.639308i | \(0.220779\pi\) | |||||||
\(164\) | −2.03872e10 | − | 2.34423e10i | −0.0134189 | − | 0.0154298i | ||||
\(165\) | 7.41867e10 | + | 7.41867e10i | 0.0472242 | + | 0.0472242i | ||||
\(166\) | −1.14095e12 | + | 2.50433e12i | −0.702544 | + | 1.54204i | ||||
\(167\) | 2.80229e12i | 1.66945i | 0.550669 | + | 0.834723i | \(0.314372\pi\) | ||||
−0.550669 | + | 0.834723i | \(0.685628\pi\) | |||||||
\(168\) | −3.26472e12 | + | 9.68230e11i | −1.88211 | + | 0.558184i | ||||
\(169\) | 1.59271e12i | 0.888707i | ||||||||
\(170\) | 7.16836e11 | + | 3.26586e11i | 0.387214 | + | 0.176412i | ||||
\(171\) | 2.69396e12 | + | 2.69396e12i | 1.40901 | + | 1.40901i | ||||
\(172\) | 3.13023e12 | + | 2.18193e11i | 1.58551 | + | 0.110518i | ||||
\(173\) | 4.15917e11 | − | 4.15917e11i | 0.204058 | − | 0.204058i | −0.597678 | − | 0.801736i | \(-0.703910\pi\) |
0.801736 | + | 0.597678i | \(0.203910\pi\) | |||||||
\(174\) | −1.04783e12 | − | 2.80160e12i | −0.498046 | − | 1.33164i | ||||
\(175\) | −2.64114e12 | −1.21642 | ||||||||
\(176\) | 2.66127e11 | − | 2.00725e11i | 0.118787 | − | 0.0895948i | ||||
\(177\) | 3.68128e12 | 1.59274 | ||||||||
\(178\) | 5.37913e10 | + | 1.43823e11i | 0.0225633 | + | 0.0603279i | ||||
\(179\) | 1.25777e12 | − | 1.25777e12i | 0.511575 | − | 0.511575i | −0.403434 | − | 0.915009i | \(-0.632183\pi\) |
0.915009 | + | 0.403434i | \(0.132183\pi\) | |||||||
\(180\) | −6.15236e10 | + | 8.82625e11i | −0.0242685 | + | 0.348159i | ||||
\(181\) | −7.02645e11 | − | 7.02645e11i | −0.268846 | − | 0.268846i | 0.559789 | − | 0.828635i | \(-0.310882\pi\) |
−0.828635 | + | 0.559789i | \(0.810882\pi\) | |||||||
\(182\) | −1.09843e12 | − | 5.00436e11i | −0.407735 | − | 0.185761i | ||||
\(183\) | 5.69352e12i | 2.05069i | ||||||||
\(184\) | −2.31860e12 | − | 1.25790e12i | −0.810453 | − | 0.439693i | ||||
\(185\) | − | 1.14007e12i | − | 0.386800i | ||||||
\(186\) | 6.54787e11 | − | 1.43722e12i | 0.215665 | − | 0.473371i | ||||
\(187\) | 4.55850e11 | + | 4.55850e11i | 0.145779 | + | 0.145779i | ||||
\(188\) | 4.32386e12 | − | 3.76035e12i | 1.34277 | − | 1.16778i | ||||
\(189\) | 6.28187e11 | − | 6.28187e11i | 0.189474 | − | 0.189474i | ||||
\(190\) | −1.72123e12 | + | 6.43757e11i | −0.504305 | + | 0.188615i | ||||
\(191\) | −1.55093e12 | −0.441478 | −0.220739 | − | 0.975333i | \(-0.570847\pi\) | ||||
−0.220739 | + | 0.975333i | \(0.570847\pi\) | |||||||
\(192\) | 5.16979e12 | + | 1.09530e12i | 1.42993 | + | 0.302953i | ||||
\(193\) | −4.58114e12 | −1.23143 | −0.615713 | − | 0.787971i | \(-0.711132\pi\) | ||||
−0.615713 | + | 0.787971i | \(0.711132\pi\) | |||||||
\(194\) | −6.59339e11 | + | 2.46600e11i | −0.172266 | + | 0.0644292i | ||||
\(195\) | −4.16891e11 | + | 4.16891e11i | −0.105885 | + | 0.105885i | ||||
\(196\) | −2.45629e12 | + | 2.13617e12i | −0.606555 | + | 0.527505i | ||||
\(197\) | 8.42541e11 | + | 8.42541e11i | 0.202315 | + | 0.202315i | 0.800991 | − | 0.598676i | \(-0.204306\pi\) |
−0.598676 | + | 0.800991i | \(0.704306\pi\) | |||||||
\(198\) | −3.00202e11 | + | 6.58925e11i | −0.0701059 | + | 0.153878i | ||||
\(199\) | − | 6.45938e12i | − | 1.46723i | −0.679564 | − | 0.733616i | \(-0.737831\pi\) | ||
0.679564 | − | 0.733616i | \(-0.262169\pi\) | |||||||
\(200\) | 3.60267e12 | + | 1.95455e12i | 0.796085 | + | 0.431898i | ||||
\(201\) | − | 6.97677e12i | − | 1.49995i | ||||||
\(202\) | −4.68382e12 | − | 2.13392e12i | −0.979868 | − | 0.446421i | ||||
\(203\) | −4.53710e12 | − | 4.53710e12i | −0.923741 | − | 0.923741i | ||||
\(204\) | −7.10677e11 | + | 1.01955e13i | −0.140834 | + | 2.02042i | ||||
\(205\) | −2.30175e10 | + | 2.30175e10i | −0.00444029 | + | 0.00444029i | ||||
\(206\) | −3.93812e11 | − | 1.05294e12i | −0.0739638 | − | 0.197759i | ||||
\(207\) | 5.73001e12 | 1.04790 | ||||||||
\(208\) | 1.12797e12 | + | 1.49550e12i | 0.200887 | + | 0.266341i | ||||
\(209\) | −1.50394e12 | −0.260871 | ||||||||
\(210\) | 1.24989e12 | + | 3.34187e12i | 0.211187 | + | 0.564655i | ||||
\(211\) | −5.66233e12 | + | 5.66233e12i | −0.932055 | + | 0.932055i | −0.997834 | − | 0.0657787i | \(-0.979047\pi\) |
0.0657787 | + | 0.997834i | \(0.479047\pi\) | |||||||
\(212\) | 5.88426e12 | + | 4.10163e11i | 0.943723 | + | 0.0657824i | ||||
\(213\) | −6.12140e12 | − | 6.12140e12i | −0.956672 | − | 0.956672i | ||||
\(214\) | −3.35755e12 | − | 1.52968e12i | −0.511384 | − | 0.232983i | ||||
\(215\) | − | 3.28773e12i | − | 0.488073i | ||||||
\(216\) | −1.32176e12 | + | 3.92000e11i | −0.191275 | + | 0.0567271i | ||||
\(217\) | − | 3.38793e12i | − | 0.477976i | ||||||
\(218\) | 1.51011e12 | − | 3.31460e12i | 0.207729 | − | 0.455953i | ||||
\(219\) | 2.73773e12 | + | 2.73773e12i | 0.367238 | + | 0.367238i | ||||
\(220\) | −2.29196e11 | − | 2.63542e11i | −0.0299834 | − | 0.0344766i | ||||
\(221\) | −2.56165e12 | + | 2.56165e12i | −0.326860 | + | 0.326860i | ||||
\(222\) | 1.38543e13 | − | 5.18167e12i | 1.72443 | − | 0.644953i | ||||
\(223\) | 2.46919e12 | 0.299832 | 0.149916 | − | 0.988699i | \(-0.452100\pi\) | ||||
0.149916 | + | 0.988699i | \(0.452100\pi\) | |||||||
\(224\) | 1.10660e13 | − | 2.45968e12i | 1.31108 | − | 0.291417i | ||||
\(225\) | −8.90336e12 | −1.02932 | ||||||||
\(226\) | −5.50943e12 | + | 2.06059e12i | −0.621599 | + | 0.232485i | ||||
\(227\) | −2.54818e12 | + | 2.54818e12i | −0.280600 | + | 0.280600i | −0.833348 | − | 0.552748i | \(-0.813579\pi\) |
0.552748 | + | 0.833348i | \(0.313579\pi\) | |||||||
\(228\) | −1.56461e13 | − | 1.79908e13i | −1.68176 | − | 1.93379i | ||||
\(229\) | 8.81027e12 | + | 8.81027e12i | 0.924473 | + | 0.924473i | 0.997342 | − | 0.0728690i | \(-0.0232155\pi\) |
−0.0728690 | + | 0.997342i | \(0.523215\pi\) | |||||||
\(230\) | −1.14588e12 | + | 2.51514e12i | −0.117391 | + | 0.257667i | ||||
\(231\) | 2.92000e12i | 0.292090i | ||||||||
\(232\) | 2.83123e12 | + | 9.54649e12i | 0.276562 | + | 0.932524i | ||||
\(233\) | 1.10524e13i | 1.05438i | 0.849747 | + | 0.527191i | \(0.176755\pi\) | ||||
−0.849747 | + | 0.527191i | \(0.823245\pi\) | |||||||
\(234\) | −3.70282e12 | − | 1.68698e12i | −0.345021 | − | 0.157189i | ||||
\(235\) | −4.24549e12 | − | 4.24549e12i | −0.386415 | − | 0.386415i | ||||
\(236\) | −1.22253e13 | − | 8.52166e11i | −1.08703 | − | 0.0757719i | ||||
\(237\) | 1.50714e13 | − | 1.50714e13i | 1.30930 | − | 1.30930i | ||||
\(238\) | 7.68015e12 | + | 2.05346e13i | 0.651923 | + | 1.74306i | ||||
\(239\) | 8.37084e12 | 0.694353 | 0.347177 | − | 0.937800i | \(-0.387140\pi\) | ||||
0.347177 | + | 0.937800i | \(0.387140\pi\) | |||||||
\(240\) | 7.68185e11 | − | 5.48347e12i | 0.0622736 | − | 0.444522i | ||||
\(241\) | 1.48928e13 | 1.18000 | 0.590002 | − | 0.807402i | \(-0.299127\pi\) | ||||
0.590002 | + | 0.807402i | \(0.299127\pi\) | |||||||
\(242\) | 4.42299e12 | + | 1.18258e13i | 0.342556 | + | 0.915899i | ||||
\(243\) | −1.33969e13 | + | 1.33969e13i | −1.01430 | + | 1.01430i | ||||
\(244\) | 1.31797e12 | − | 1.89078e13i | 0.0975578 | − | 1.39958i | ||||
\(245\) | 2.41177e12 | + | 2.41177e12i | 0.174551 | + | 0.174551i | ||||
\(246\) | −3.84328e11 | − | 1.75097e11i | −0.0271994 | − | 0.0123918i | ||||
\(247\) | − | 8.45139e12i | − | 0.584918i | ||||||
\(248\) | −2.50720e12 | + | 4.62133e12i | −0.169709 | + | 0.312812i | ||||
\(249\) | 3.74110e13i | 2.47687i | ||||||||
\(250\) | 3.74635e12 | − | 8.22302e12i | 0.242627 | − | 0.532551i | ||||
\(251\) | −7.98403e12 | − | 7.98403e12i | −0.505844 | − | 0.505844i | 0.407404 | − | 0.913248i | \(-0.366434\pi\) |
−0.913248 | + | 0.407404i | \(0.866434\pi\) | |||||||
\(252\) | −1.85809e13 | + | 1.61593e13i | −1.15176 | + | 1.00166i | ||||
\(253\) | −1.59943e12 | + | 1.59943e12i | −0.0970067 | + | 0.0970067i | ||||
\(254\) | 4.16083e11 | − | 1.55619e11i | 0.0246942 | − | 0.00923588i | ||||
\(255\) | 1.07085e13 | 0.621952 | ||||||||
\(256\) | −1.69150e13 | − | 4.83414e12i | −0.961504 | − | 0.274789i | ||||
\(257\) | 2.70752e12 | 0.150640 | 0.0753200 | − | 0.997159i | \(-0.476002\pi\) | ||||
0.0753200 | + | 0.997159i | \(0.476002\pi\) | |||||||
\(258\) | 3.99531e13 | − | 1.49429e13i | 2.17592 | − | 0.813816i | ||||
\(259\) | 2.24366e13 | − | 2.24366e13i | 1.19621 | − | 1.19621i | ||||
\(260\) | 1.48097e12 | − | 1.28796e12i | 0.0773024 | − | 0.0672279i | ||||
\(261\) | −1.52947e13 | − | 1.52947e13i | −0.781659 | − | 0.781659i | ||||
\(262\) | −8.00595e12 | + | 1.75726e13i | −0.400641 | + | 0.879384i | ||||
\(263\) | 9.34160e11i | 0.0457788i | 0.999738 | + | 0.0228894i | \(0.00728656\pi\) | ||||
−0.999738 | + | 0.0228894i | \(0.992713\pi\) | |||||||
\(264\) | 2.16091e12 | − | 3.98304e12i | 0.103709 | − | 0.191158i | ||||
\(265\) | − | 6.18034e12i | − | 0.290509i | ||||||
\(266\) | −4.65430e13 | − | 2.12047e13i | −2.14292 | − | 0.976299i | ||||
\(267\) | 1.47603e12 | + | 1.47603e12i | 0.0665709 | + | 0.0665709i | ||||
\(268\) | −1.61503e12 | + | 2.31694e13i | −0.0713573 | + | 1.02370i | ||||
\(269\) | −1.46911e13 | + | 1.46911e13i | −0.635942 | + | 0.635942i | −0.949552 | − | 0.313610i | \(-0.898462\pi\) |
0.313610 | + | 0.949552i | \(0.398462\pi\) | |||||||
\(270\) | 5.06036e11 | + | 1.35300e12i | 0.0214625 | + | 0.0573848i | ||||
\(271\) | 3.98105e13 | 1.65450 | 0.827249 | − | 0.561835i | \(-0.189905\pi\) | ||||
0.827249 | + | 0.561835i | \(0.189905\pi\) | |||||||
\(272\) | 4.72022e12 | − | 3.36939e13i | 0.192235 | − | 1.37222i | ||||
\(273\) | −1.64089e13 | −0.654914 | ||||||||
\(274\) | 3.50716e12 | + | 9.37718e12i | 0.137192 | + | 0.366813i | ||||
\(275\) | 2.48521e12 | − | 2.48521e12i | 0.0952869 | − | 0.0952869i | ||||
\(276\) | −3.57725e13 | − | 2.49353e12i | −1.34447 | − | 0.0937162i | ||||
\(277\) | −1.57182e13 | − | 1.57182e13i | −0.579114 | − | 0.579114i | 0.355545 | − | 0.934659i | \(-0.384295\pi\) |
−0.934659 | + | 0.355545i | \(0.884295\pi\) | |||||||
\(278\) | −1.02760e13 | − | 4.68167e12i | −0.371174 | − | 0.169104i | ||||
\(279\) | − | 1.14208e13i | − | 0.404458i | ||||||
\(280\) | −3.37721e12 | − | 1.13874e13i | −0.117271 | − | 0.395419i | ||||
\(281\) | 5.65668e13i | 1.92609i | 0.269339 | + | 0.963045i | \(0.413195\pi\) | ||||
−0.269339 | + | 0.963045i | \(0.586805\pi\) | |||||||
\(282\) | 3.22960e13 | − | 7.08879e13i | 1.07840 | − | 2.36702i | ||||
\(283\) | −2.30718e13 | − | 2.30718e13i | −0.755538 | − | 0.755538i | 0.219969 | − | 0.975507i | \(-0.429404\pi\) |
−0.975507 | + | 0.219969i | \(0.929404\pi\) | |||||||
\(284\) | 1.89117e13 | + | 2.17458e13i | 0.607408 | + | 0.698432i | ||||
\(285\) | −1.76647e13 | + | 1.76647e13i | −0.556493 | + | 0.556493i | ||||
\(286\) | 1.50446e12 | − | 5.62685e11i | 0.0464910 | − | 0.0173881i | ||||
\(287\) | −9.05970e11 | −0.0274640 | ||||||||
\(288\) | 3.73039e13 | − | 8.29165e12i | 1.10942 | − | 0.246594i | ||||
\(289\) | 3.15279e13 | 0.919933 | ||||||||
\(290\) | 9.77208e12 | − | 3.65486e12i | 0.279768 | − | 0.104636i | ||||
\(291\) | −6.76670e12 | + | 6.76670e12i | −0.190093 | + | 0.190093i | ||||
\(292\) | −8.45806e12 | − | 9.72555e12i | −0.233166 | − | 0.268107i | ||||
\(293\) | −1.47734e13 | − | 1.47734e13i | −0.399675 | − | 0.399675i | 0.478443 | − | 0.878118i | \(-0.341201\pi\) |
−0.878118 | + | 0.478443i | \(0.841201\pi\) | |||||||
\(294\) | −1.83467e13 | + | 4.02698e13i | −0.487132 | + | 1.06923i | ||||
\(295\) | 1.28404e13i | 0.334625i | ||||||||
\(296\) | −4.72088e13 | + | 1.40009e13i | −1.20759 | + | 0.358138i | ||||
\(297\) | 1.18220e12i | 0.0296845i | ||||||||
\(298\) | −1.14470e12 | − | 5.21517e11i | −0.0282164 | − | 0.0128552i | ||||
\(299\) | −8.98797e12 | − | 8.98797e12i | −0.217505 | − | 0.217505i | ||||
\(300\) | 5.55838e13 | + | 3.87448e12i | 1.32063 | + | 0.0920548i | ||||
\(301\) | 6.47027e13 | − | 6.47027e13i | 1.50941 | − | 1.50941i | ||||
\(302\) | 1.87592e13 | + | 5.01570e13i | 0.429711 | + | 1.14893i | ||||
\(303\) | −6.99694e13 | −1.57389 | ||||||||
\(304\) | 4.77950e13 | + | 6.33680e13i | 1.05579 | + | 1.39980i | ||||
\(305\) | −1.98592e13 | −0.430836 | ||||||||
\(306\) | 2.58900e13 | + | 6.92226e13i | 0.551650 | + | 1.47496i | ||||
\(307\) | 3.74033e13 | − | 3.74033e13i | 0.782796 | − | 0.782796i | −0.197506 | − | 0.980302i | \(-0.563284\pi\) |
0.980302 | + | 0.197506i | \(0.0632842\pi\) | |||||||
\(308\) | 6.75938e11 | − | 9.69710e12i | 0.0138956 | − | 0.199348i | ||||
\(309\) | −1.08062e13 | − | 1.08062e13i | −0.218223 | − | 0.218223i | ||||
\(310\) | 5.01306e12 | + | 2.28392e12i | 0.0994521 | + | 0.0453097i | ||||
\(311\) | 5.07867e13i | 0.989847i | 0.868937 | + | 0.494924i | \(0.164804\pi\) | ||||
−0.868937 | + | 0.494924i | \(0.835196\pi\) | |||||||
\(312\) | 2.23826e13 | + | 1.21432e13i | 0.428609 | + | 0.232532i | ||||
\(313\) | − | 1.06893e13i | − | 0.201120i | −0.994931 | − | 0.100560i | \(-0.967937\pi\) | ||
0.994931 | − | 0.100560i | \(-0.0320634\pi\) | |||||||
\(314\) | −1.16790e13 | + | 2.56347e13i | −0.215919 | + | 0.473930i | ||||
\(315\) | 1.82441e13 | + | 1.82441e13i | 0.331448 | + | 0.331448i | ||||
\(316\) | −5.35400e13 | + | 4.65623e13i | −0.955871 | + | 0.831296i | ||||
\(317\) | −1.50024e13 | + | 1.50024e13i | −0.263229 | + | 0.263229i | −0.826365 | − | 0.563135i | \(-0.809595\pi\) |
0.563135 | + | 0.826365i | \(0.309595\pi\) | |||||||
\(318\) | 7.51046e13 | − | 2.80899e13i | 1.29514 | − | 0.484397i | ||||
\(319\) | 8.53846e12 | 0.144721 | ||||||||
\(320\) | −3.82043e12 | + | 1.80324e13i | −0.0636485 | + | 0.300420i | ||||
\(321\) | −5.01569e13 | −0.821398 | ||||||||
\(322\) | −7.20491e13 | + | 2.69471e13i | −1.15990 | + | 0.433815i | ||||
\(323\) | −1.08543e14 | + | 1.08543e14i | −1.71787 | + | 1.71787i | ||||
\(324\) | 4.09720e13 | − | 3.56323e13i | 0.637513 | − | 0.554429i | ||||
\(325\) | 1.39656e13 | + | 1.39656e13i | 0.213649 | + | 0.213649i | ||||
\(326\) | −5.05338e12 | + | 1.10919e13i | −0.0760125 | + | 0.166843i | ||||
\(327\) | − | 4.95153e13i | − | 0.732363i | ||||||
\(328\) | 1.23579e12 | + | 6.70452e11i | 0.0179738 | + | 0.00975128i | ||||
\(329\) | − | 1.67103e14i | − | 2.39005i | ||||||
\(330\) | −4.32067e12 | − | 1.96847e12i | −0.0607749 | − | 0.0276886i | ||||
\(331\) | 1.15849e12 | + | 1.15849e12i | 0.0160265 | + | 0.0160265i | 0.715075 | − | 0.699048i | \(-0.246393\pi\) |
−0.699048 | + | 0.715075i | \(0.746393\pi\) | |||||||
\(332\) | 8.66012e12 | − | 1.24239e14i | 0.117832 | − | 1.69044i | ||||
\(333\) | 7.56344e13 | − | 7.56344e13i | 1.01222 | − | 1.01222i | ||||
\(334\) | −4.44254e13 | − | 1.18781e14i | −0.584825 | − | 1.56366i | ||||
\(335\) | 2.43352e13 | 0.315129 | ||||||||
\(336\) | 1.23033e14 | − | 9.27970e13i | 1.56731 | − | 1.18214i | ||||
\(337\) | 1.54894e14 | 1.94120 | 0.970602 | − | 0.240691i | \(-0.0773741\pi\) | ||||
0.970602 | + | 0.240691i | \(0.0773741\pi\) | |||||||
\(338\) | −2.52496e13 | − | 6.75103e13i | −0.311324 | − | 0.832393i | ||||
\(339\) | −5.65425e13 | + | 5.65425e13i | −0.685925 | + | 0.685925i | ||||
\(340\) | −3.55621e13 | − | 2.47886e12i | −0.424476 | − | 0.0295882i | ||||
\(341\) | 3.18791e12 | + | 3.18791e12i | 0.0374418 | + | 0.0374418i | ||||
\(342\) | −1.56898e14 | − | 7.14815e13i | −1.81331 | − | 0.826133i | ||||
\(343\) | − | 2.31639e13i | − | 0.263447i | ||||||
\(344\) | −1.36141e14 | + | 4.03757e13i | −1.52376 | + | 0.451906i | ||||
\(345\) | 3.75725e13i | 0.413871i | ||||||||
\(346\) | −1.10359e13 | + | 2.42232e13i | −0.119644 | + | 0.262611i | ||||
\(347\) | 4.18262e13 | + | 4.18262e13i | 0.446309 | + | 0.446309i | 0.894126 | − | 0.447816i | \(-0.147798\pi\) |
−0.447816 | + | 0.894126i | \(0.647798\pi\) | |||||||
\(348\) | 8.88291e13 | + | 1.02141e14i | 0.932974 | + | 1.07279i | ||||
\(349\) | −1.30512e14 | + | 1.30512e14i | −1.34931 | + | 1.34931i | −0.462897 | + | 0.886412i | \(0.653190\pi\) |
−0.886412 | + | 0.462897i | \(0.846810\pi\) | |||||||
\(350\) | 1.11951e14 | − | 4.18707e13i | 1.13934 | − | 0.426124i | ||||
\(351\) | −6.64335e12 | −0.0665576 | ||||||||
\(352\) | −8.09824e12 | + | 1.27272e13i | −0.0798741 | + | 0.125530i | ||||
\(353\) | −1.77057e14 | −1.71930 | −0.859652 | − | 0.510880i | \(-0.829320\pi\) | ||||
−0.859652 | + | 0.510880i | \(0.829320\pi\) | |||||||
\(354\) | −1.56039e14 | + | 5.83603e13i | −1.49182 | + | 0.557955i | ||||
\(355\) | 2.13516e13 | − | 2.13516e13i | 0.200990 | − | 0.200990i | ||||
\(356\) | −4.56012e12 | − | 5.24349e12i | −0.0422670 | − | 0.0486010i | ||||
\(357\) | 2.10743e14 | + | 2.10743e14i | 1.92344 | + | 1.92344i | ||||
\(358\) | −3.33736e13 | + | 7.32531e13i | −0.299948 | + | 0.658369i | ||||
\(359\) | 1.06853e14i | 0.945727i | 0.881136 | + | 0.472863i | \(0.156780\pi\) | ||||
−0.881136 | + | 0.472863i | \(0.843220\pi\) | |||||||
\(360\) | −1.13847e13 | − | 3.83874e13i | −0.0992331 | − | 0.334599i | ||||
\(361\) | − | 2.41616e14i | − | 2.07413i | ||||||
\(362\) | 4.09224e13 | + | 1.86439e13i | 0.345990 | + | 0.157631i | ||||
\(363\) | 1.21367e14 | + | 1.21367e14i | 1.01068 | + | 1.01068i | ||||
\(364\) | 5.44927e13 | + | 3.79843e12i | 0.446973 | + | 0.0311563i | ||||
\(365\) | −9.54928e12 | + | 9.54928e12i | −0.0771542 | + | 0.0771542i | ||||
\(366\) | −9.02608e13 | − | 2.41332e14i | −0.718379 | − | 1.92075i | ||||
\(367\) | 4.42951e13 | 0.347290 | 0.173645 | − | 0.984808i | \(-0.444446\pi\) | ||||
0.173645 | + | 0.984808i | \(0.444446\pi\) | |||||||
\(368\) | 1.18221e14 | + | 1.65617e13i | 0.913127 | + | 0.127921i | ||||
\(369\) | −3.05404e12 | −0.0232397 | ||||||||
\(370\) | 1.80738e13 | + | 4.83243e13i | 0.135500 | + | 0.362290i | ||||
\(371\) | 1.21629e14 | − | 1.21629e14i | 0.898425 | − | 0.898425i | ||||
\(372\) | −4.97000e12 | + | 7.13002e13i | −0.0361718 | + | 0.518925i | ||||
\(373\) | −9.20225e13 | − | 9.20225e13i | −0.659926 | − | 0.659926i | 0.295436 | − | 0.955362i | \(-0.404535\pi\) |
−0.955362 | + | 0.295436i | \(0.904535\pi\) | |||||||
\(374\) | −2.65489e13 | − | 1.20955e13i | −0.187609 | − | 0.0854733i | ||||
\(375\) | − | 1.22840e14i | − | 0.855397i | ||||||
\(376\) | −1.23662e14 | + | 2.27938e14i | −0.848604 | + | 1.56417i | ||||
\(377\) | 4.79818e13i | 0.324488i | ||||||||
\(378\) | −1.66683e13 | + | 3.65859e13i | −0.111093 | + | 0.243842i | ||||
\(379\) | −4.11973e13 | − | 4.11973e13i | −0.270616 | − | 0.270616i | 0.558732 | − | 0.829348i | \(-0.311288\pi\) |
−0.829348 | + | 0.558732i | \(0.811288\pi\) | |||||||
\(380\) | 6.27524e13 | − | 5.45741e13i | 0.406275 | − | 0.353327i | ||||
\(381\) | 4.27020e12 | − | 4.27020e12i | 0.0272496 | − | 0.0272496i | ||||
\(382\) | 6.57396e13 | − | 2.45873e13i | 0.413503 | − | 0.154654i | ||||
\(383\) | −2.44621e13 | −0.151670 | −0.0758351 | − | 0.997120i | \(-0.524162\pi\) | ||||
−0.0758351 | + | 0.997120i | \(0.524162\pi\) | |||||||
\(384\) | −2.36497e14 | + | 3.55313e13i | −1.44545 | + | 0.217165i | ||||
\(385\) | −1.01850e13 | −0.0613661 | ||||||||
\(386\) | 1.94182e14 | − | 7.26259e13i | 1.15339 | − | 0.431382i | ||||
\(387\) | 2.18114e14 | − | 2.18114e14i | 1.27724 | − | 1.27724i | ||||
\(388\) | 2.40381e13 | − | 2.09053e13i | 0.138780 | − | 0.120693i | ||||
\(389\) | 4.33424e13 | + | 4.33424e13i | 0.246712 | + | 0.246712i | 0.819620 | − | 0.572908i | \(-0.194185\pi\) |
−0.572908 | + | 0.819620i | \(0.694185\pi\) | |||||||
\(390\) | 1.10618e13 | − | 2.42799e13i | 0.0620825 | − | 0.136267i | ||||
\(391\) | 2.30870e14i | 1.27760i | ||||||||
\(392\) | 7.02498e13 | − | 1.29486e14i | 0.383329 | − | 0.706562i | ||||
\(393\) | 2.62509e14i | 1.41249i | ||||||||
\(394\) | −4.90700e13 | − | 2.23559e13i | −0.260367 | − | 0.118622i | ||||
\(395\) | 5.25696e13 | + | 5.25696e13i | 0.275075 | + | 0.275075i | ||||
\(396\) | 2.27860e12 | − | 3.26891e13i | 0.0117583 | − | 0.168686i | ||||
\(397\) | −2.24044e13 | + | 2.24044e13i | −0.114021 | + | 0.114021i | −0.761815 | − | 0.647794i | \(-0.775692\pi\) |
0.647794 | + | 0.761815i | \(0.275692\pi\) | |||||||
\(398\) | 1.02402e14 | + | 2.73795e14i | 0.513987 | + | 1.37426i | ||||
\(399\) | −6.95285e14 | −3.44201 | ||||||||
\(400\) | −1.83693e14 | − | 2.57337e13i | −0.896938 | − | 0.125653i | ||||
\(401\) | 3.28823e14 | 1.58368 | 0.791842 | − | 0.610727i | \(-0.209123\pi\) | ||||
0.791842 | + | 0.610727i | \(0.209123\pi\) | |||||||
\(402\) | 1.10605e14 | + | 2.95726e14i | 0.525448 | + | 1.40490i | ||||
\(403\) | −1.79144e13 | + | 1.79144e13i | −0.0839508 | + | 0.0839508i | ||||
\(404\) | 2.32363e14 | + | 1.61969e13i | 1.07416 | + | 0.0748748i | ||||
\(405\) | −4.02294e13 | − | 4.02294e13i | −0.183460 | − | 0.183460i | ||||
\(406\) | 2.64243e14 | + | 1.20387e14i | 1.18880 | + | 0.541611i | ||||
\(407\) | 4.22239e13i | 0.187409i | ||||||||
\(408\) | −1.31508e14 | − | 4.43424e14i | −0.575865 | − | 1.94173i | ||||
\(409\) | − | 1.11279e14i | − | 0.480767i | −0.970678 | − | 0.240384i | \(-0.922727\pi\) | ||
0.970678 | − | 0.240384i | \(-0.0772732\pi\) | |||||||
\(410\) | 6.10744e11 | − | 1.34055e12i | 0.00260344 | − | 0.00571440i | ||||
\(411\) | 9.62366e13 | + | 9.62366e13i | 0.404772 | + | 0.404772i | ||||
\(412\) | 3.33852e13 | + | 3.83881e13i | 0.138554 | + | 0.159317i | ||||
\(413\) | −2.52700e14 | + | 2.52700e14i | −1.03486 | + | 1.03486i | ||||
\(414\) | −2.42879e14 | + | 9.08393e13i | −0.981495 | + | 0.367089i | ||||
\(415\) | −1.30491e14 | −0.520373 | ||||||||
\(416\) | −7.15202e13 | − | 4.55080e13i | −0.281459 | − | 0.179091i | ||||
\(417\) | −1.53508e14 | −0.596188 | ||||||||
\(418\) | 6.37479e13 | − | 2.38424e13i | 0.244341 | − | 0.0913860i | ||||
\(419\) | 1.31929e14 | − | 1.31929e14i | 0.499072 | − | 0.499072i | −0.412077 | − | 0.911149i | \(-0.635197\pi\) |
0.911149 | + | 0.412077i | \(0.135197\pi\) | |||||||
\(420\) | −1.05959e14 | − | 1.21838e14i | −0.395610 | − | 0.454894i | ||||
\(421\) | 1.11228e13 | + | 1.11228e13i | 0.0409887 | + | 0.0409887i | 0.727304 | − | 0.686315i | \(-0.240773\pi\) |
−0.686315 | + | 0.727304i | \(0.740773\pi\) | |||||||
\(422\) | 1.50244e14 | − | 3.29777e14i | 0.546485 | − | 1.19950i | ||||
\(423\) | − | 5.63308e14i | − | 2.02243i | ||||||
\(424\) | −2.55920e14 | + | 7.58989e13i | −0.906967 | + | 0.268982i | ||||
\(425\) | − | 3.58728e14i | − | 1.25495i | ||||||
\(426\) | 3.56513e14 | + | 1.62425e14i | 1.23118 | + | 0.560919i | ||||
\(427\) | −3.90830e14 | − | 3.90830e14i | −1.33240 | − | 1.33240i | ||||
\(428\) | 1.66568e14 | + | 1.16106e13i | 0.560596 | + | 0.0390765i | ||||
\(429\) | 1.54401e13 | − | 1.54401e13i | 0.0513021 | − | 0.0513021i | ||||
\(430\) | 5.21212e13 | + | 1.39358e14i | 0.170977 | + | 0.457146i | ||||
\(431\) | 4.45018e14 | 1.44129 | 0.720647 | − | 0.693302i | \(-0.243845\pi\) | ||||
0.720647 | + | 0.693302i | \(0.243845\pi\) | |||||||
\(432\) | 4.98114e13 | − | 3.75701e13i | 0.159283 | − | 0.120138i | ||||
\(433\) | −1.12463e13 | −0.0355080 | −0.0177540 | − | 0.999842i | \(-0.505652\pi\) | ||||
−0.0177540 | + | 0.999842i | \(0.505652\pi\) | |||||||
\(434\) | 5.37098e13 | + | 1.43605e14i | 0.167440 | + | 0.447689i | ||||
\(435\) | 1.00289e14 | − | 1.00289e14i | 0.308720 | − | 0.308720i | ||||
\(436\) | −1.14621e13 | + | 1.64437e14i | −0.0348408 | + | 0.499831i | ||||
\(437\) | −3.80842e14 | − | 3.80842e14i | −1.14313 | − | 1.14313i | ||||
\(438\) | −1.59447e14 | − | 7.26427e13i | −0.472615 | − | 0.215320i | ||||
\(439\) | 5.67001e13i | 0.165970i | 0.996551 | + | 0.0829849i | \(0.0264453\pi\) | ||||
−0.996551 | + | 0.0829849i | \(0.973555\pi\) | |||||||
\(440\) | 1.38930e13 | + | 7.53731e12i | 0.0401610 | + | 0.0217885i | ||||
\(441\) | 3.20002e14i | 0.913568i | ||||||||
\(442\) | 6.79706e13 | − | 1.49191e14i | 0.191646 | − | 0.420651i | ||||
\(443\) | −2.60481e13 | − | 2.60481e13i | −0.0725362 | − | 0.0725362i | 0.669908 | − | 0.742444i | \(-0.266334\pi\) |
−0.742444 | + | 0.669908i | \(0.766334\pi\) | |||||||
\(444\) | −5.05100e14 | + | 4.39273e14i | −1.38922 | + | 1.20817i | ||||
\(445\) | −5.14845e12 | + | 5.14845e12i | −0.0139861 | + | 0.0139861i | ||||
\(446\) | −1.04662e14 | + | 3.91447e13i | −0.280833 | + | 0.105034i | ||||
\(447\) | −1.71001e13 | −0.0453219 | ||||||||
\(448\) | −4.30065e14 | + | 2.79692e14i | −1.12591 | + | 0.732236i | ||||
\(449\) | −3.91719e14 | −1.01302 | −0.506512 | − | 0.862233i | \(-0.669065\pi\) | ||||
−0.506512 | + | 0.862233i | \(0.669065\pi\) | |||||||
\(450\) | 3.77388e14 | − | 1.41147e14i | 0.964095 | − | 0.360581i | ||||
\(451\) | 8.52481e11 | − | 8.52481e11i | 0.00215136 | − | 0.00215136i | ||||
\(452\) | 2.00862e14 | − | 1.74685e14i | 0.500769 | − | 0.435506i | ||||
\(453\) | 5.14753e14 | + | 5.14753e14i | 1.26782 | + | 1.26782i | ||||
\(454\) | 6.76132e13 | − | 1.48407e14i | 0.164522 | − | 0.361117i | ||||
\(455\) | − | 5.72347e13i | − | 0.137593i | ||||||
\(456\) | 9.48407e14 | + | 5.14537e14i | 2.25262 | + | 1.22211i | ||||
\(457\) | 1.98305e14i | 0.465365i | 0.972553 | + | 0.232683i | \(0.0747504\pi\) | ||||
−0.972553 | + | 0.232683i | \(0.925250\pi\) | |||||||
\(458\) | −5.13114e14 | − | 2.33771e14i | −1.18974 | − | 0.542039i | ||||
\(459\) | 8.53222e13 | + | 8.53222e13i | 0.195475 | + | 0.195475i | ||||
\(460\) | 8.69751e12 | − | 1.24776e14i | 0.0196891 | − | 0.282463i | ||||
\(461\) | −2.94593e14 | + | 2.94593e14i | −0.658972 | + | 0.658972i | −0.955137 | − | 0.296165i | \(-0.904292\pi\) |
0.296165 | + | 0.955137i | \(0.404292\pi\) | |||||||
\(462\) | −4.62914e13 | − | 1.23770e14i | −0.102322 | − | 0.273581i | ||||
\(463\) | 5.44141e14 | 1.18855 | 0.594273 | − | 0.804263i | \(-0.297440\pi\) | ||||
0.594273 | + | 0.804263i | \(0.297440\pi\) | |||||||
\(464\) | −2.71351e14 | − | 3.59765e14i | −0.585710 | − | 0.776550i | ||||
\(465\) | 7.48878e13 | 0.159742 | ||||||||
\(466\) | −1.75216e14 | − | 4.68479e14i | −0.369361 | − | 0.987569i | ||||
\(467\) | −6.92417e13 | + | 6.92417e13i | −0.144253 | + | 0.144253i | −0.775545 | − | 0.631292i | \(-0.782525\pi\) |
0.631292 | + | 0.775545i | \(0.282525\pi\) | |||||||
\(468\) | 1.83696e14 | + | 1.28046e13i | 0.378223 | + | 0.0263641i | ||||
\(469\) | 4.78918e14 | + | 4.78918e14i | 0.974564 | + | 0.974564i | ||||
\(470\) | 2.47259e14 | + | 1.12650e14i | 0.497295 | + | 0.226564i | ||||
\(471\) | 3.82944e14i | 0.761238i | ||||||||
\(472\) | 5.31705e14 | − | 1.57689e14i | 1.04470 | − | 0.309829i | ||||
\(473\) | 1.21765e14i | 0.236476i | ||||||||
\(474\) | −3.99904e14 | + | 8.77767e14i | −0.767671 | + | 1.68499i | ||||
\(475\) | 5.91757e14 | + | 5.91757e14i | 1.12287 | + | 1.12287i | ||||
\(476\) | −6.51080e14 | − | 7.48648e14i | −1.22123 | − | 1.40423i | ||||
\(477\) | 4.10015e14 | − | 4.10015e14i | 0.760237 | − | 0.760237i | ||||
\(478\) | −3.54816e14 | + | 1.32705e14i | −0.650354 | + | 0.243239i | ||||
\(479\) | 5.45377e14 | 0.988216 | 0.494108 | − | 0.869401i | \(-0.335495\pi\) | ||||
0.494108 | + | 0.869401i | \(0.335495\pi\) | |||||||
\(480\) | 5.43696e13 | + | 2.44607e14i | 0.0973933 | + | 0.438169i | ||||
\(481\) | −2.37277e14 | −0.420201 | ||||||||
\(482\) | −6.31265e14 | + | 2.36100e14i | −1.10523 | + | 0.413368i | ||||
\(483\) | −7.39429e14 | + | 7.39429e14i | −1.27993 | + | 1.27993i | ||||
\(484\) | −3.74956e14 | − | 4.31145e14i | −0.641698 | − | 0.737861i | ||||
\(485\) | −2.36025e13 | − | 2.36025e13i | −0.0399372 | − | 0.0399372i | ||||
\(486\) | 3.55471e14 | − | 7.80239e14i | 0.594710 | − | 1.30535i | ||||
\(487\) | − | 2.73024e14i | − | 0.451640i | −0.974169 | − | 0.225820i | \(-0.927494\pi\) | ||
0.974169 | − | 0.225820i | \(-0.0725061\pi\) | |||||||
\(488\) | 2.43885e14 | + | 8.22342e14i | 0.398911 | + | 1.34507i | ||||
\(489\) | 1.65696e14i | 0.267987i | ||||||||
\(490\) | −1.40462e14 | − | 6.39937e13i | −0.224637 | − | 0.102343i | ||||
\(491\) | 2.44712e13 | + | 2.44712e13i | 0.0386996 | + | 0.0386996i | 0.726192 | − | 0.687492i | \(-0.241288\pi\) |
−0.687492 | + | 0.726192i | \(0.741288\pi\) | |||||||
\(492\) | 1.90664e13 | + | 1.32903e12i | 0.0298168 | + | 0.00207839i | ||||
\(493\) | 6.16242e14 | − | 6.16242e14i | 0.953001 | − | 0.953001i | ||||
\(494\) | 1.33982e14 | + | 3.58231e14i | 0.204903 | + | 0.547853i | ||||
\(495\) | −3.43340e13 | −0.0519273 | ||||||||
\(496\) | 3.30100e13 | − | 2.35633e14i | 0.0493738 | − | 0.352441i | ||||
\(497\) | 8.40402e14 | 1.24316 | ||||||||
\(498\) | −5.93085e14 | − | 1.58575e15i | −0.867673 | − | 2.31992i | ||||
\(499\) | −5.44937e14 | + | 5.44937e14i | −0.788484 | + | 0.788484i | −0.981246 | − | 0.192762i | \(-0.938256\pi\) |
0.192762 | + | 0.981246i | \(0.438256\pi\) | |||||||
\(500\) | −2.84357e13 | + | 4.07943e14i | −0.0406939 | + | 0.583800i | ||||
\(501\) | −1.21903e15 | − | 1.21903e15i | −1.72547 | − | 1.72547i | ||||
\(502\) | 4.64994e14 | + | 2.11848e14i | 0.650993 | + | 0.296588i | ||||
\(503\) | 2.12390e14i | 0.294110i | 0.989128 | + | 0.147055i | \(0.0469794\pi\) | ||||
−0.989128 | + | 0.147055i | \(0.953021\pi\) | |||||||
\(504\) | 5.31414e14 | − | 9.79516e14i | 0.727889 | − | 1.34166i | ||||
\(505\) | − | 2.44055e14i | − | 0.330663i | ||||||
\(506\) | 4.24391e13 | − | 9.31514e13i | 0.0568773 | − | 0.124842i | ||||
\(507\) | −6.92848e14 | − | 6.92848e14i | −0.918532 | − | 0.918532i | ||||
\(508\) | −1.51695e13 | + | 1.31925e13i | −0.0198940 | + | 0.0173013i | ||||
\(509\) | 2.91460e14 | − | 2.91460e14i | 0.378121 | − | 0.378121i | −0.492303 | − | 0.870424i | \(-0.663845\pi\) |
0.870424 | + | 0.492303i | \(0.163845\pi\) | |||||||
\(510\) | −4.53902e14 | + | 1.69764e14i | −0.582541 | + | 0.217876i | ||||
\(511\) | −3.75861e14 | −0.477212 | ||||||||
\(512\) | 7.93615e14 | − | 6.32513e13i | 0.996839 | − | 0.0794484i | ||||
\(513\) | −2.81495e14 | −0.349804 | ||||||||
\(514\) | −1.14764e14 | + | 4.29231e13i | −0.141094 | + | 0.0527708i | ||||
\(515\) | 3.76924e13 | − | 3.76924e13i | 0.0458473 | − | 0.0458473i | ||||
\(516\) | −1.45661e15 | + | 1.26677e15i | −1.75295 | + | 1.52449i | ||||
\(517\) | 1.57237e14 | + | 1.57237e14i | 0.187222 | + | 0.187222i | ||||
\(518\) | −5.95332e14 | + | 1.30672e15i | −0.701368 | + | 1.53946i | ||||
\(519\) | 3.61859e14i | 0.421812i | ||||||||
\(520\) | −4.23558e13 | + | 7.80713e13i | −0.0488534 | + | 0.0900478i | ||||
\(521\) | − | 1.21124e15i | − | 1.38236i | −0.722681 | − | 0.691182i | \(-0.757090\pi\) | ||
0.722681 | − | 0.691182i | \(-0.242910\pi\) | |||||||
\(522\) | 8.90769e14 | + | 4.05828e14i | 1.00595 | + | 0.458305i | ||||
\(523\) | −7.39703e14 | − | 7.39703e14i | −0.826605 | − | 0.826605i | 0.160440 | − | 0.987046i | \(-0.448709\pi\) |
−0.987046 | + | 0.160440i | \(0.948709\pi\) | |||||||
\(524\) | 6.07671e13 | − | 8.71773e14i | 0.0671965 | − | 0.964010i | ||||
\(525\) | 1.14893e15 | − | 1.14893e15i | 1.25724 | − | 1.25724i | ||||
\(526\) | −1.48095e13 | − | 3.95964e13i | −0.0160368 | − | 0.0428780i | ||||
\(527\) | 4.60159e14 | 0.493116 | ||||||||
\(528\) | −2.84507e13 | + | 2.03087e14i | −0.0301722 | + | 0.215375i | ||||
\(529\) | 1.42765e14 | 0.149836 | ||||||||
\(530\) | 9.79784e13 | + | 2.61967e14i | 0.101768 | + | 0.272101i | ||||
\(531\) | −8.51858e14 | + | 8.51858e14i | −0.875684 | + | 0.875684i | ||||
\(532\) | 2.30899e15 | + | 1.60949e14i | 2.34914 | + | 0.163747i | ||||
\(533\) | 4.79051e12 | + | 4.79051e12i | 0.00482372 | + | 0.00482372i | ||||
\(534\) | −8.59649e13 | − | 3.91650e13i | −0.0856730 | − | 0.0390320i | ||||
\(535\) | − | 1.74949e14i | − | 0.172570i | ||||||
\(536\) | −2.98854e14 | − | 1.00769e15i | −0.291778 | − | 0.983830i | ||||
\(537\) | 1.09429e15i | 1.05749i | ||||||||
\(538\) | 3.89813e14 | − | 8.55617e14i | 0.372867 | − | 0.818422i | ||||
\(539\) | −8.93228e13 | − | 8.93228e13i | −0.0845716 | − | 0.0845716i | ||||
\(540\) | −4.28989e13 | − | 4.93275e13i | −0.0402050 | − | 0.0462300i | ||||
\(541\) | −9.36873e14 | + | 9.36873e14i | −0.869152 | + | 0.869152i | −0.992379 | − | 0.123227i | \(-0.960676\pi\) |
0.123227 | + | 0.992379i | \(0.460676\pi\) | |||||||
\(542\) | −1.68745e15 | + | 6.31126e14i | −1.54966 | + | 0.579588i | ||||
\(543\) | 6.11320e14 | 0.555737 | ||||||||
\(544\) | 3.34081e14 | + | 1.50302e15i | 0.300648 | + | 1.35261i | ||||
\(545\) | 1.72711e14 | 0.153865 | ||||||||
\(546\) | 6.95527e14 | − | 2.60134e14i | 0.613415 | − | 0.229423i | ||||
\(547\) | −7.01752e13 | + | 7.01752e13i | −0.0612708 | + | 0.0612708i | −0.737078 | − | 0.675807i | \(-0.763795\pi\) |
0.675807 | + | 0.737078i | \(0.263795\pi\) | |||||||
\(548\) | −2.97318e14 | − | 3.41872e14i | −0.256997 | − | 0.295509i | ||||
\(549\) | −1.31750e15 | − | 1.31750e15i | −1.12746 | − | 1.12746i | ||||
\(550\) | −6.59424e13 | + | 1.44740e14i | −0.0558689 | + | 0.122629i | ||||
\(551\) | 2.03311e15i | 1.70540i | ||||||||
\(552\) | 1.55583e15 | − | 4.61417e14i | 1.29210 | − | 0.383203i | ||||
\(553\) | 2.06914e15i | 1.70138i | ||||||||
\(554\) | 9.15435e14 | + | 4.17066e14i | 0.745288 | + | 0.339548i | ||||
\(555\) | 4.95946e14 | + | 4.95946e14i | 0.399781 | + | 0.399781i | ||||
\(556\) | 5.09790e14 | + | 3.55350e13i | 0.406893 | + | 0.0283625i | ||||
\(557\) | −4.21492e14 | + | 4.21492e14i | −0.333109 | + | 0.333109i | −0.853766 | − | 0.520657i | \(-0.825687\pi\) |
0.520657 | + | 0.853766i | \(0.325687\pi\) | |||||||
\(558\) | 1.81057e14 | + | 4.84096e14i | 0.141686 | + | 0.378829i | ||||
\(559\) | −6.84259e14 | −0.530219 | ||||||||
\(560\) | 3.23679e14 | + | 4.29142e14i | 0.248359 | + | 0.329281i | ||||
\(561\) | −3.96602e14 | −0.301342 | ||||||||
\(562\) | −8.96767e14 | − | 2.39771e15i | −0.674730 | − | 1.80404i | ||||
\(563\) | 1.18164e15 | − | 1.18164e15i | 0.880416 | − | 0.880416i | −0.113160 | − | 0.993577i | \(-0.536097\pi\) |
0.993577 | + | 0.113160i | \(0.0360974\pi\) | |||||||
\(564\) | −2.45135e14 | + | 3.51674e15i | −0.180872 | + | 2.59481i | ||||
\(565\) | −1.97222e14 | − | 1.97222e14i | −0.144108 | − | 0.144108i | ||||
\(566\) | 1.34371e15 | + | 6.12186e14i | 0.972335 | + | 0.442989i | ||||
\(567\) | − | 1.58343e15i | − | 1.13473i | ||||||
\(568\) | −1.14636e15 | − | 6.21930e14i | −0.813586 | − | 0.441393i | ||||
\(569\) | 9.73112e14i | 0.683983i | 0.939703 | + | 0.341992i | \(0.111101\pi\) | ||||
−0.939703 | + | 0.341992i | \(0.888899\pi\) | |||||||
\(570\) | 4.68714e14 | − | 1.02880e15i | 0.326285 | − | 0.716175i | ||||
\(571\) | −1.00987e15 | − | 1.00987e15i | −0.696253 | − | 0.696253i | 0.267347 | − | 0.963600i | \(-0.413853\pi\) |
−0.963600 | + | 0.267347i | \(0.913853\pi\) | |||||||
\(572\) | −5.48497e13 | + | 4.77013e13i | −0.0374538 | + | 0.0325726i | ||||
\(573\) | 6.74676e14 | − | 6.74676e14i | 0.456294 | − | 0.456294i | ||||
\(574\) | 3.84015e13 | − | 1.43626e13i | 0.0257237 | − | 0.00962092i | ||||
\(575\) | 1.25866e15 | 0.835092 | ||||||||
\(576\) | −1.44976e15 | + | 9.42848e14i | −0.952734 | + | 0.619609i | ||||
\(577\) | 1.63029e15 | 1.06120 | 0.530602 | − | 0.847621i | \(-0.321966\pi\) | ||||
0.530602 | + | 0.847621i | \(0.321966\pi\) | |||||||
\(578\) | −1.33638e15 | + | 4.99819e14i | −0.861640 | + | 0.322262i | ||||
\(579\) | 1.99286e15 | − | 1.99286e15i | 1.27275 | − | 1.27275i | ||||
\(580\) | −3.56270e14 | + | 3.09838e14i | −0.225385 | + | 0.196011i | ||||
\(581\) | −2.56806e15 | − | 2.56806e15i | −1.60930 | − | 1.60930i | ||||
\(582\) | 1.79547e14 | − | 3.94096e14i | 0.111456 | − | 0.244639i | ||||
\(583\) | 2.28897e14i | 0.140755i | ||||||||
\(584\) | 5.12695e14 | + | 2.78151e14i | 0.312312 | + | 0.169438i | ||||
\(585\) | − | 1.92939e14i | − | 0.116430i | ||||||
\(586\) | 8.60407e14 | + | 3.91995e14i | 0.514360 | + | 0.234339i | ||||
\(587\) | 7.41304e14 | + | 7.41304e14i | 0.439022 | + | 0.439022i | 0.891683 | − | 0.452661i | \(-0.149525\pi\) |
−0.452661 | + | 0.891683i | \(0.649525\pi\) | |||||||
\(588\) | 1.39256e14 | − | 1.99778e15i | 0.0817029 | − | 1.17212i | ||||
\(589\) | −7.59078e14 | + | 7.59078e14i | −0.441217 | + | 0.441217i | ||||
\(590\) | −2.03562e14 | − | 5.44269e14i | −0.117223 | − | 0.313421i | ||||
\(591\) | −7.33034e14 | −0.418209 | ||||||||
\(592\) | 1.77909e15 | − | 1.34187e15i | 1.00561 | − | 0.758474i | ||||
\(593\) | −3.32085e15 | −1.85972 | −0.929861 | − | 0.367910i | \(-0.880073\pi\) | ||||
−0.929861 | + | 0.367910i | \(0.880073\pi\) | |||||||
\(594\) | −1.87417e13 | − | 5.01101e13i | −0.0103988 | − | 0.0278035i | ||||
\(595\) | −7.35079e14 | + | 7.35079e14i | −0.404102 | + | 0.404102i | ||||
\(596\) | 5.67883e13 | + | 3.95844e12i | 0.0309317 | + | 0.00215610i | ||||
\(597\) | 2.80992e15 | + | 2.80992e15i | 1.51647 | + | 1.51647i | ||||
\(598\) | 5.23463e14 | + | 2.38486e14i | 0.279917 | + | 0.127528i | ||||
\(599\) | − | 2.87597e15i | − | 1.52383i | −0.647675 | − | 0.761916i | \(-0.724259\pi\) | ||
0.647675 | − | 0.761916i | \(-0.275741\pi\) | |||||||
\(600\) | −2.41746e15 | + | 7.16955e14i | −1.26919 | + | 0.376409i | ||||
\(601\) | 3.01761e14i | 0.156984i | 0.996915 | + | 0.0784918i | \(0.0250104\pi\) | ||||
−0.996915 | + | 0.0784918i | \(0.974990\pi\) | |||||||
\(602\) | −1.71682e15 | + | 3.76832e15i | −0.885001 | + | 1.94252i | ||||
\(603\) | 1.61444e15 | + | 1.61444e15i | 0.824665 | + | 0.824665i | ||||
\(604\) | −1.59030e15 | − | 1.82862e15i | −0.804964 | − | 0.925593i | ||||
\(605\) | −4.23331e14 | + | 4.23331e14i | −0.212337 | + | 0.212337i | ||||
\(606\) | 2.96581e15 | − | 1.10924e15i | 1.47416 | − | 0.551350i | ||||
\(607\) | −1.10741e15 | −0.545470 | −0.272735 | − | 0.962089i | \(-0.587928\pi\) | ||||
−0.272735 | + | 0.962089i | \(0.587928\pi\) | |||||||
\(608\) | −3.03049e15 | − | 1.92828e15i | −1.47925 | − | 0.941242i | ||||
\(609\) | 3.94740e15 | 1.90948 | ||||||||
\(610\) | 8.41775e14 | − | 3.14832e14i | 0.403536 | − | 0.150926i | ||||
\(611\) | −8.83592e14 | + | 8.83592e14i | −0.419783 | + | 0.419783i | ||||
\(612\) | −2.19481e15 | − | 2.52371e15i | −1.03339 | − | 1.18825i | ||||
\(613\) | 2.34187e15 | + | 2.34187e15i | 1.09277 | + | 1.09277i | 0.995231 | + | 0.0975435i | \(0.0310985\pi\) |
0.0975435 | + | 0.995231i | \(0.468902\pi\) | |||||||
\(614\) | −9.92456e14 | + | 2.17838e15i | −0.458971 | + | 1.00741i | ||||
\(615\) | − | 2.00258e13i | − | 0.00917861i | ||||||
\(616\) | 1.25079e14 | + | 4.21749e14i | 0.0568188 | + | 0.191584i | ||||
\(617\) | 6.98011e14i | 0.314264i | 0.987578 | + | 0.157132i | \(0.0502248\pi\) | ||||
−0.987578 | + | 0.157132i | \(0.949775\pi\) | |||||||
\(618\) | 6.29358e14 | + | 2.86731e14i | 0.280841 | + | 0.127949i | ||||
\(619\) | −2.28130e15 | − | 2.28130e15i | −1.00898 | − | 1.00898i | −0.999959 | − | 0.00902486i | \(-0.997127\pi\) |
−0.00902486 | − | 0.999959i | \(-0.502873\pi\) | |||||||
\(620\) | −2.48697e14 | − | 1.73355e13i | −0.109023 | − | 0.00759945i | ||||
\(621\) | −2.99367e14 | + | 2.99367e14i | −0.130077 | + | 0.130077i | ||||
\(622\) | −8.05135e14 | − | 2.15271e15i | −0.346754 | − | 0.927124i | ||||
\(623\) | −2.02644e14 | −0.0865065 | ||||||||
\(624\) | −1.14125e15 | − | 1.59878e14i | −0.482908 | − | 0.0676511i | ||||
\(625\) | −1.73088e15 | −0.725984 | ||||||||
\(626\) | 1.69460e14 | + | 4.53089e14i | 0.0704545 | + | 0.188376i | ||||
\(627\) | 6.54235e14 | − | 6.54235e14i | 0.269626 | − | 0.269626i | ||||
\(628\) | 8.86463e13 | − | 1.27173e15i | 0.0362145 | − | 0.519538i | ||||
\(629\) | 3.04741e15 | + | 3.04741e15i | 1.23410 | + | 1.23410i | ||||
\(630\) | −1.06255e15 | − | 4.84089e14i | −0.426555 | − | 0.194335i | ||||
\(631\) | 3.06944e15i | 1.22151i | 0.791819 | + | 0.610755i | \(0.209134\pi\) | ||||
−0.791819 | + | 0.610755i | \(0.790866\pi\) | |||||||
\(632\) | 1.53125e15 | − | 2.82243e15i | 0.604089 | − | 1.11347i | ||||
\(633\) | − | 4.92638e15i | − | 1.92667i | ||||||
\(634\) | 3.98072e14 | − | 8.73745e14i | 0.154337 | − | 0.338761i | ||||
\(635\) | 1.48946e13 | + | 1.48946e13i | 0.00572497 | + | 0.00572497i | ||||
\(636\) | −2.73816e15 | + | 2.38130e15i | −1.04338 | + | 0.907404i | ||||
\(637\) | 5.01949e14 | − | 5.01949e14i | 0.189624 | − | 0.189624i | ||||
\(638\) | −3.61921e14 | + | 1.35362e14i | −0.135550 | + | 0.0506972i | ||||
\(639\) | 2.83302e15 | 1.05195 | ||||||||
\(640\) | −1.23934e14 | − | 8.24909e14i | −0.0456249 | − | 0.303680i | ||||
\(641\) | −2.26554e15 | −0.826899 | −0.413449 | − | 0.910527i | \(-0.635676\pi\) | ||||
−0.413449 | + | 0.910527i | \(0.635676\pi\) | |||||||
\(642\) | 2.12601e15 | − | 7.95151e14i | 0.769349 | − | 0.287744i | ||||
\(643\) | −4.93160e14 | + | 4.93160e14i | −0.176941 | + | 0.176941i | −0.790021 | − | 0.613080i | \(-0.789930\pi\) |
0.613080 | + | 0.790021i | \(0.289930\pi\) | |||||||
\(644\) | 2.62676e15 | − | 2.28442e15i | 0.934432 | − | 0.812652i | ||||
\(645\) | 1.43021e15 | + | 1.43021e15i | 0.504453 | + | 0.504453i | ||||
\(646\) | 2.88008e15 | − | 6.32161e15i | 1.00722 | − | 2.21080i | ||||
\(647\) | − | 2.61317e15i | − | 0.906139i | −0.891475 | − | 0.453069i | \(-0.850329\pi\) | ||
0.891475 | − | 0.453069i | \(-0.149671\pi\) | |||||||
\(648\) | −1.17180e15 | + | 2.15989e15i | −0.402894 | + | 0.742624i | ||||
\(649\) | − | 4.75561e14i | − | 0.162129i | ||||||
\(650\) | −8.13364e14 | − | 3.70563e14i | −0.274955 | − | 0.125268i | ||||
\(651\) | 1.47380e15 | + | 1.47380e15i | 0.494017 | + | 0.494017i | ||||
\(652\) | 3.83564e13 | − | 5.50266e14i | 0.0127490 | − | 0.182899i | ||||
\(653\) | −3.24689e15 | + | 3.24689e15i | −1.07015 | + | 1.07015i | −0.0728038 | + | 0.997346i | \(0.523195\pi\) |
−0.997346 | + | 0.0728038i | \(0.976805\pi\) | |||||||
\(654\) | 7.84978e14 | + | 2.09881e15i | 0.256555 | + | 0.685956i | ||||
\(655\) | −9.15639e14 | −0.296754 | ||||||||
\(656\) | −6.30107e13 | − | 8.82723e12i | −0.0202508 | − | 0.00283696i | ||||
\(657\) | −1.26703e15 | −0.403812 | ||||||||
\(658\) | 2.64912e15 | + | 7.08302e15i | 0.837259 | + | 2.23860i | ||||
\(659\) | −8.89857e13 | + | 8.89857e13i | −0.0278901 | + | 0.0278901i | −0.720914 | − | 0.693024i | \(-0.756278\pi\) |
0.693024 | + | 0.720914i | \(0.256278\pi\) | |||||||
\(660\) | 2.14347e14 | + | 1.49411e13i | 0.0666234 | + | 0.00464400i | ||||
\(661\) | 2.37602e14 | + | 2.37602e14i | 0.0732388 | + | 0.0732388i | 0.742777 | − | 0.669539i | \(-0.233508\pi\) |
−0.669539 | + | 0.742777i | \(0.733508\pi\) | |||||||
\(662\) | −6.74708e13 | − | 3.07393e13i | −0.0206252 | − | 0.00939668i | ||||
\(663\) | − | 2.22870e15i | − | 0.675659i | ||||||
\(664\) | 1.60252e15 | + | 5.40344e15i | 0.481813 | + | 1.62460i | ||||
\(665\) | − | 2.42517e15i | − | 0.723142i | ||||||
\(666\) | −2.00688e15 | + | 4.40498e15i | −0.593489 | + | 1.30267i | ||||
\(667\) | 2.16219e15 | + | 2.16219e15i | 0.634164 | + | 0.634164i | ||||
\(668\) | 3.76614e15 | + | 4.33052e15i | 1.09553 | + | 1.25971i | ||||
\(669\) | −1.07413e15 | + | 1.07413e15i | −0.309894 | + | 0.309894i | ||||
\(670\) | −1.03150e15 | + | 3.85792e14i | −0.295160 | + | 0.110393i | ||||
\(671\) | 7.35510e14 | 0.208744 | ||||||||
\(672\) | −3.74388e15 | + | 5.88387e15i | −1.05388 | + | 1.65627i | ||||
\(673\) | 4.98817e14 | 0.139270 | 0.0696352 | − | 0.997573i | \(-0.477816\pi\) | ||||
0.0696352 | + | 0.997573i | \(0.477816\pi\) | |||||||
\(674\) | −6.56554e15 | + | 2.45558e15i | −1.81820 | + | 0.680024i | ||||
\(675\) | 4.65160e14 | − | 4.65160e14i | 0.127771 | − | 0.127771i | ||||
\(676\) | 2.14052e15 | + | 2.46129e15i | 0.583192 | + | 0.670587i | ||||
\(677\) | −3.03419e15 | − | 3.03419e15i | −0.819984 | − | 0.819984i | 0.166121 | − | 0.986105i | \(-0.446876\pi\) |
−0.986105 | + | 0.166121i | \(0.946876\pi\) | |||||||
\(678\) | 1.50030e15 | − | 3.29306e15i | 0.402174 | − | 0.882747i | ||||
\(679\) | − | 9.28995e14i | − | 0.247019i | ||||||
\(680\) | 1.54668e15 | − | 4.58703e14i | 0.407944 | − | 0.120985i | ||||
\(681\) | − | 2.21698e15i | − | 0.580034i | ||||||
\(682\) | −1.85665e14 | − | 8.45878e13i | −0.0481855 | − | 0.0219530i | ||||
\(683\) | 3.12787e15 | + | 3.12787e15i | 0.805257 | + | 0.805257i | 0.983912 | − | 0.178655i | \(-0.0571745\pi\) |
−0.178655 | + | 0.983912i | \(0.557175\pi\) | |||||||
\(684\) | 7.78367e15 | + | 5.42562e14i | 1.98781 | + | 0.138561i | ||||
\(685\) | −3.35676e14 | + | 3.35676e14i | −0.0850398 | + | 0.0850398i | ||||
\(686\) | 3.67222e14 | + | 9.81851e14i | 0.0922883 | + | 0.246753i | ||||
\(687\) | −7.66517e15 | −1.91100 | ||||||||
\(688\) | 5.13053e15 | − | 3.86968e15i | 1.26890 | − | 0.957060i | ||||
\(689\) | −1.28628e15 | −0.315595 | ||||||||
\(690\) | −5.95646e14 | − | 1.59259e15i | −0.144983 | − | 0.387646i | ||||
\(691\) | 2.77334e15 | − | 2.77334e15i | 0.669689 | − | 0.669689i | −0.287955 | − | 0.957644i | \(-0.592975\pi\) |
0.957644 | + | 0.287955i | \(0.0929752\pi\) | |||||||
\(692\) | 8.37653e13 | − | 1.20171e15i | 0.0200669 | − | 0.287883i | ||||
\(693\) | −6.75694e14 | − | 6.75694e14i | −0.160590 | − | 0.160590i | ||||
\(694\) | −2.43597e15 | − | 1.10981e15i | −0.574375 | − | 0.261681i | ||||
\(695\) | − | 5.35441e14i | − | 0.125255i | ||||||
\(696\) | −5.38448e15 | − | 2.92123e15i | −1.24966 | − | 0.677976i | ||||
\(697\) | − | 1.23051e14i | − | 0.0283339i | ||||||
\(698\) | 3.46300e15 | − | 7.60109e15i | 0.791131 | − | 1.73649i | ||||
\(699\) | −4.80793e15 | − | 4.80793e15i | −1.08977 | − | 1.08977i | ||||
\(700\) | −4.08149e15 | + | 3.54956e15i | −0.917866 | + | 0.798244i | ||||
\(701\) | 3.58804e15 | − | 3.58804e15i | 0.800587 | − | 0.800587i | −0.182600 | − | 0.983187i | \(-0.558451\pi\) |
0.983187 | + | 0.182600i | \(0.0584514\pi\) | |||||||
\(702\) | 2.81593e14 | − | 1.05319e14i | 0.0623401 | − | 0.0233158i | ||||
\(703\) | −1.00540e16 | −2.20844 | ||||||||
\(704\) | 1.41495e14 | − | 6.67852e14i | 0.0308383 | − | 0.145556i | ||||
\(705\) | 3.69369e15 | 0.798767 | ||||||||
\(706\) | 7.50496e15 | − | 2.80693e15i | 1.61036 | − | 0.602291i | ||||
\(707\) | 4.80302e15 | − | 4.80302e15i | 1.02260 | − | 1.02260i | ||||
\(708\) | 5.68886e15 | − | 4.94746e15i | 1.20183 | − | 1.04520i | ||||
\(709\) | −2.93575e15 | − | 2.93575e15i | −0.615410 | − | 0.615410i | 0.328940 | − | 0.944351i | \(-0.393308\pi\) |
−0.944351 | + | 0.328940i | \(0.893308\pi\) | |||||||
\(710\) | −5.66543e14 | + | 1.24353e15i | −0.117845 | + | 0.258663i | ||||
\(711\) | 6.97513e15i | 1.43969i | ||||||||
\(712\) | 2.76417e14 | + | 1.49964e14i | 0.0566142 | + | 0.0307147i | ||||
\(713\) | 1.61454e15i | 0.328139i | ||||||||
\(714\) | −1.22738e16 | − | 5.59185e15i | −2.47536 | − | 1.12776i | ||||
\(715\) | 5.38555e13 | + | 5.38555e13i | 0.0107782 | + | 0.0107782i | ||||
\(716\) | 2.53314e14 | − | 3.63407e15i | 0.0503080 | − | 0.721725i | ||||
\(717\) | −3.64143e15 | + | 3.64143e15i | −0.717656 | + | 0.717656i | ||||
\(718\) | −1.69396e15 | − | 4.52918e15i | −0.331298 | − | 0.885800i | ||||
\(719\) | 4.19879e15 | 0.814920 | 0.407460 | − | 0.913223i | \(-0.366415\pi\) | ||||
0.407460 | + | 0.913223i | \(0.366415\pi\) | |||||||
\(720\) | 1.09113e15 | + | 1.44665e15i | 0.210159 | + | 0.278634i | ||||
\(721\) | 1.48357e15 | 0.283573 | ||||||||
\(722\) | 3.83040e15 | + | 1.02414e16i | 0.726589 | + | 1.94270i | ||||
\(723\) | −6.47858e15 | + | 6.47858e15i | −1.21960 | + | 1.21960i | ||||
\(724\) | −2.03015e15 | − | 1.41512e14i | −0.379285 | − | 0.0264382i | ||||
\(725\) | −3.35964e15 | − | 3.35964e15i | −0.622922 | − | 0.622922i | ||||
\(726\) | −7.06846e15 | − | 3.22034e15i | −1.30069 | − | 0.592585i | ||||
\(727\) | 4.12785e15i | 0.753849i | 0.926244 | + | 0.376925i | \(0.123018\pi\) | ||||
−0.926244 | + | 0.376925i | \(0.876982\pi\) | |||||||
\(728\) | −2.37001e15 | + | 7.02882e14i | −0.429564 | + | 0.127397i | ||||
\(729\) | − | 6.95891e15i | − | 1.25181i | ||||||
\(730\) | 2.53380e14 | − | 5.56154e14i | 0.0452373 | − | 0.0992932i | ||||
\(731\) | 8.78811e15 | + | 8.78811e15i | 1.55722 | + | 1.55722i | ||||
\(732\) | 7.65181e15 | + | 8.79848e15i | 1.34571 | + | 1.54738i | ||||
\(733\) | 4.75984e15 | − | 4.75984e15i | 0.830845 | − | 0.830845i | −0.156787 | − | 0.987632i | \(-0.550114\pi\) |
0.987632 | + | 0.156787i | \(0.0501136\pi\) | |||||||
\(734\) | −1.87754e15 | + | 7.02221e14i | −0.325283 | + | 0.121659i | ||||
\(735\) | −2.09830e15 | −0.360817 | ||||||||
\(736\) | −5.27361e15 | + | 1.17218e15i | −0.900077 | + | 0.200063i | ||||
\(737\) | −9.01285e14 | −0.152683 | ||||||||
\(738\) | 1.29452e14 | − | 4.84165e13i | 0.0217671 | − | 0.00814111i | ||||
\(739\) | 3.24543e15 | − | 3.24543e15i | 0.541661 | − | 0.541661i | −0.382355 | − | 0.924016i | \(-0.624887\pi\) |
0.924016 | + | 0.382355i | \(0.124887\pi\) | |||||||
\(740\) | −1.53220e15 | − | 1.76180e15i | −0.253828 | − | 0.291866i | ||||
\(741\) | 3.67647e15 | + | 3.67647e15i | 0.604548 | + | 0.604548i | ||||
\(742\) | −3.22731e15 | + | 7.08375e15i | −0.526767 | + | 1.15622i | ||||
\(743\) | 9.92853e15i | 1.60859i | 0.594227 | + | 0.804297i | \(0.297458\pi\) | ||||
−0.594227 | + | 0.804297i | \(0.702542\pi\) | |||||||
\(744\) | −9.19676e14 | − | 3.10101e15i | −0.147905 | − | 0.498714i | ||||
\(745\) | − | 5.96457e13i | − | 0.00952182i | ||||||
\(746\) | 5.35943e15 | + | 2.44172e15i | 0.849288 | + | 0.386930i | ||||
\(747\) | −8.65699e15 | − | 8.65699e15i | −1.36177 | − | 1.36177i | ||||
\(748\) | 1.31709e15 | + | 9.18079e13i | 0.205663 | + | 0.0143358i | ||||
\(749\) | 3.44300e15 | − | 3.44300e15i | 0.533688 | − | 0.533688i | ||||
\(750\) | 1.94741e15 | + | 5.20684e15i | 0.299655 | + | 0.801193i | ||||
\(751\) | 2.11436e14 | 0.0322969 | 0.0161484 | − | 0.999870i | \(-0.494860\pi\) | ||||
0.0161484 | + | 0.999870i | \(0.494860\pi\) | |||||||
\(752\) | 1.62815e15 | − | 1.16221e16i | 0.246886 | − | 1.76233i | ||||
\(753\) | 6.94632e15 | 1.04564 | ||||||||
\(754\) | −7.60668e14 | − | 2.03381e15i | −0.113672 | − | 0.303927i | ||||
\(755\) | −1.79548e15 | + | 1.79548e15i | −0.266361 | + | 0.266361i | ||||
\(756\) | 1.26516e14 | − | 1.81502e15i | 0.0186327 | − | 0.267308i | ||||
\(757\) | 7.13066e15 | + | 7.13066e15i | 1.04256 | + | 1.04256i | 0.999053 | + | 0.0435106i | \(0.0138542\pi\) |
0.0435106 | + | 0.999053i | \(0.486146\pi\) | |||||||
\(758\) | 2.39935e15 | + | 1.09313e15i | 0.348267 | + | 0.158668i | ||||
\(759\) | − | 1.39155e15i | − | 0.200525i | ||||||
\(760\) | −1.79472e15 | + | 3.30807e15i | −0.256757 | + | 0.473261i | ||||
\(761\) | − | 7.63959e15i | − | 1.08506i | −0.840036 | − | 0.542531i | \(-0.817466\pi\) | ||
0.840036 | − | 0.542531i | \(-0.182534\pi\) | |||||||
\(762\) | −1.13305e14 | + | 2.48698e14i | −0.0159771 | + | 0.0350688i | ||||
\(763\) | 3.39896e15 | + | 3.39896e15i | 0.475840 | + | 0.475840i | ||||
\(764\) | −2.39673e15 | + | 2.08437e15i | −0.333124 | + | 0.289709i | ||||
\(765\) | −2.47797e15 | + | 2.47797e15i | −0.341946 | + | 0.341946i | ||||
\(766\) | 1.03688e15 | − | 3.87804e14i | 0.142059 | − | 0.0531317i | ||||
\(767\) | 2.67241e15 | 0.363521 | ||||||||
\(768\) | 9.46116e15 | − | 5.25532e15i | 1.27778 | − | 0.709762i | ||||
\(769\) | 5.21778e15 | 0.699667 | 0.349833 | − | 0.936812i | \(-0.386238\pi\) | ||||
0.349833 | + | 0.936812i | \(0.386238\pi\) | |||||||
\(770\) | 4.31715e14 | − | 1.61466e14i | 0.0574775 | − | 0.0214972i | ||||
\(771\) | −1.17781e15 | + | 1.17781e15i | −0.155696 | + | 0.155696i | ||||
\(772\) | −7.07946e15 | + | 6.15682e15i | −0.929191 | + | 0.808093i | ||||
\(773\) | −3.63573e15 | − | 3.63573e15i | −0.473811 | − | 0.473811i | 0.429335 | − | 0.903145i | \(-0.358748\pi\) |
−0.903145 | + | 0.429335i | \(0.858748\pi\) | |||||||
\(774\) | −5.78744e15 | + | 1.27031e16i | −0.748878 | + | 1.64374i | ||||
\(775\) | − | 2.50870e15i | − | 0.322321i | ||||||
\(776\) | −6.87491e14 | + | 1.26720e15i | −0.0877057 | + | 0.161661i | ||||
\(777\) | 1.95205e16i | 2.47272i | ||||||||
\(778\) | −2.52428e15 | − | 1.15004e15i | −0.317504 | − | 0.144653i | ||||
\(779\) | 2.02986e14 | + | 2.02986e14i | 0.0253518 | + | 0.0253518i | ||||
\(780\) | −8.39616e13 | + | 1.20452e15i | −0.0104126 | + | 0.149381i | ||||
\(781\) | −7.90785e14 | + | 7.90785e14i | −0.0973818 | + | 0.0973818i | ||||
\(782\) | −3.66003e15 | − | 9.78591e15i | −0.447556 | − | 1.19664i | ||||
\(783\) | 1.59816e15 | 0.194057 | ||||||||
\(784\) | −9.24916e14 | + | 6.60225e15i | −0.111523 | + | 0.796074i | ||||
\(785\) | −1.33572e15 | −0.159931 | ||||||||
\(786\) | −4.16162e15 | − | 1.11270e16i | −0.494810 | − | 1.32298i | ||||
\(787\) | −6.27028e15 | + | 6.27028e15i | −0.740331 | + | 0.740331i | −0.972642 | − | 0.232311i | \(-0.925371\pi\) |
0.232311 | + | 0.972642i | \(0.425371\pi\) | |||||||
\(788\) | 2.43435e15 | + | 1.69687e14i | 0.285423 | + | 0.0198955i | ||||
\(789\) | −4.06372e14 | − | 4.06372e14i | −0.0473152 | − | 0.0473152i | ||||
\(790\) | −3.06168e15 | − | 1.39488e15i | −0.354006 | − | 0.161283i | ||||
\(791\) | − | 7.76268e15i | − | 0.891335i | ||||||
\(792\) | 4.21646e14 | + | 1.42172e15i | 0.0480794 | + | 0.162116i | ||||
\(793\) | 4.13319e15i | 0.468040i | ||||||||
\(794\) | 5.94476e14 | − | 1.30484e15i | 0.0668531 | − | 0.146739i | ||||
\(795\) | 2.68853e15 | + | 2.68853e15i | 0.300259 | + | 0.300259i | ||||
\(796\) | −8.68108e15 | − | 9.98200e15i | −0.962835 | − | 1.10712i | ||||
\(797\) | 5.11428e15 | − | 5.11428e15i | 0.563331 | − | 0.563331i | −0.366921 | − | 0.930252i | \(-0.619588\pi\) |
0.930252 | + | 0.366921i | \(0.119588\pi\) | |||||||
\(798\) | 2.94712e16 | − | 1.10225e16i | 3.22390 | − | 1.20577i | ||||
\(799\) | 2.26964e16 | 2.46575 | ||||||||
\(800\) | 8.19419e15 | − | 1.82135e15i | 0.884120 | − | 0.196516i | ||||
\(801\) | −6.83116e14 | −0.0732008 | ||||||||
\(802\) | −1.39379e16 | + | 5.21292e15i | −1.48333 | + | 0.554781i | ||||
\(803\) | 3.53670e14 | − | 3.53670e14i | 0.0373820 | − | 0.0373820i | ||||
\(804\) | −9.37643e15 | − | 1.07816e16i | −0.984304 | − | 1.13181i | ||||
\(805\) | −2.57915e15 | − | 2.57915e15i | −0.268905 | − | 0.268905i | ||||
\(806\) | 4.75340e14 | − | 1.04334e15i | 0.0492223 | − | 0.108040i | ||||
\(807\) | − | 1.27817e16i | − | 1.31457i | ||||||
\(808\) | −1.01060e16 | + | 2.99717e15i | −1.03233 | + | 0.306161i | ||||
\(809\) | 5.91750e15i | 0.600373i | 0.953881 | + | 0.300187i | \(0.0970489\pi\) | ||||
−0.953881 | + | 0.300187i | \(0.902951\pi\) | |||||||
\(810\) | 2.34298e15 | + | 1.06744e15i | 0.236102 | + | 0.107567i | ||||
\(811\) | −5.44663e15 | − | 5.44663e15i | −0.545147 | − | 0.545147i | 0.379886 | − | 0.925033i | \(-0.375963\pi\) |
−0.925033 | + | 0.379886i | \(0.875963\pi\) | |||||||
\(812\) | −1.31090e16 | − | 9.13769e14i | −1.30321 | − | 0.0908402i | ||||
\(813\) | −1.73181e16 | + | 1.73181e16i | −1.71002 | + | 1.71002i | ||||
\(814\) | −6.69387e14 | − | 1.78975e15i | −0.0656512 | − | 0.175533i | ||||
\(815\) | −5.77954e14 | −0.0563023 | ||||||||
\(816\) | 1.26040e16 | + | 1.67107e16i | 1.21958 | + | 1.61696i | ||||
\(817\) | −2.89937e16 | −2.78665 | ||||||||
\(818\) | 1.76413e15 | + | 4.71680e15i | 0.168418 | + | 0.450303i | ||||
\(819\) | 3.79706e15 | − | 3.79706e15i | 0.360069 | − | 0.360069i | ||||
\(820\) | −4.63570e12 | + | 6.65043e13i | −0.000436655 | + | 0.00626432i | ||||
\(821\) | −7.94880e14 | − | 7.94880e14i | −0.0743728 | − | 0.0743728i | 0.668942 | − | 0.743315i | \(-0.266747\pi\) |
−0.743315 | + | 0.668942i | \(0.766747\pi\) | |||||||
\(822\) | −5.60486e15 | − | 2.55354e15i | −0.520919 | − | 0.237327i | ||||
\(823\) | − | 5.95135e15i | − | 0.549435i | −0.961525 | − | 0.274717i | \(-0.911416\pi\) | ||
0.961525 | − | 0.274717i | \(-0.0885843\pi\) | |||||||
\(824\) | −2.02368e15 | − | 1.09790e15i | −0.185585 | − | 0.100685i | ||||
\(825\) | 2.16220e15i | 0.196970i | ||||||||
\(826\) | 6.70513e15 | − | 1.47174e16i | 0.606760 | − | 1.33180i | ||||
\(827\) | 2.73320e15 | + | 2.73320e15i | 0.245692 | + | 0.245692i | 0.819200 | − | 0.573508i | \(-0.194418\pi\) |
−0.573508 | + | 0.819200i | \(0.694418\pi\) | |||||||
\(828\) | 8.85486e15 | − | 7.70084e15i | 0.790706 | − | 0.687656i | ||||
\(829\) | 1.31586e16 | − | 1.31586e16i | 1.16724 | − | 1.16724i | 0.184382 | − | 0.982855i | \(-0.440971\pi\) |
0.982855 | − | 0.184382i | \(-0.0590285\pi\) | |||||||
\(830\) | 5.53113e15 | − | 2.06870e15i | 0.487399 | − | 0.182292i | ||||
\(831\) | 1.36753e16 | 1.19710 | ||||||||
\(832\) | 3.75299e15 | + | 7.95128e14i | 0.326362 | + | 0.0691447i | ||||
\(833\) | −1.28933e16 | −1.11382 | ||||||||
\(834\) | 6.50678e15 | − | 2.43360e15i | 0.558410 | − | 0.208851i | ||||
\(835\) | 4.25203e15 | − | 4.25203e15i | 0.362510 | − | 0.362510i | ||||
\(836\) | −2.32411e15 | + | 2.02122e15i | −0.196844 | + | 0.171190i | ||||
\(837\) | 5.96686e14 | + | 5.96686e14i | 0.0502060 | + | 0.0502060i | ||||
\(838\) | −3.50060e15 | + | 7.68360e15i | −0.292617 | + | 0.642277i | ||||
\(839\) | − | 1.78995e15i | − | 0.148645i | −0.997234 | − | 0.0743226i | \(-0.976321\pi\) | ||
0.997234 | − | 0.0743226i | \(-0.0236795\pi\) | |||||||
\(840\) | 6.42283e15 | + | 3.48456e15i | 0.529895 | + | 0.287483i | ||||
\(841\) | 6.57772e14i | 0.0539135i | ||||||||
\(842\) | −6.47800e14 | − | 2.95133e14i | −0.0527502 | − | 0.0240326i | ||||
\(843\) | −2.46073e16 | − | 2.46073e16i | −1.99073 | − | 1.99073i | ||||
\(844\) | −1.14039e15 | + | 1.63602e16i | −0.0916578 | + | 1.31493i | ||||
\(845\) | 2.41668e15 | − | 2.41668e15i | 0.192977 | − | 0.192977i | ||||
\(846\) | 8.93026e15 | + | 2.38770e16i | 0.708479 | + | 1.89428i | ||||
\(847\) | −1.66624e16 | −1.31334 | ||||||||
\(848\) | 9.64447e15 | − | 7.27430e15i | 0.755268 | − | 0.569658i | ||||
\(849\) | 2.00731e16 | 1.56179 | ||||||||
\(850\) | 5.68700e15 | + | 1.52055e16i | 0.439622 | + | 1.17543i | ||||
\(851\) | −1.06923e16 | + | 1.06923e16i | −0.821221 | + | 0.821221i | ||||
\(852\) | −1.76866e16 | − | 1.23285e15i | −1.34966 | − | 0.0940786i | ||||
\(853\) | −3.28258e15 | − | 3.28258e15i | −0.248883 | − | 0.248883i | 0.571629 | − | 0.820512i | \(-0.306312\pi\) |
−0.820512 | + | 0.571629i | \(0.806312\pi\) | |||||||
\(854\) | 2.27621e16 | + | 1.03703e16i | 1.71472 | + | 0.781216i | ||||
\(855\) | − | 8.17532e15i | − | 0.611915i | ||||||
\(856\) | −7.24440e15 | + | 2.14850e15i | −0.538762 | + | 0.159782i | ||||
\(857\) | 9.76700e15i | 0.721717i | 0.932621 | + | 0.360858i | \(0.117516\pi\) | ||||
−0.932621 | + | 0.360858i | \(0.882484\pi\) | |||||||
\(858\) | −4.09687e14 | + | 8.99238e14i | −0.0300796 | + | 0.0660229i | ||||
\(859\) | −1.01771e16 | − | 1.01771e16i | −0.742439 | − | 0.742439i | 0.230608 | − | 0.973047i | \(-0.425929\pi\) |
−0.973047 | + | 0.230608i | \(0.925929\pi\) | |||||||
\(860\) | −4.41855e15 | − | 5.08069e15i | −0.320286 | − | 0.368283i | ||||
\(861\) | 3.94109e14 | − | 3.94109e14i | 0.0283857 | − | 0.0283857i | ||||
\(862\) | −1.88631e16 | + | 7.05499e15i | −1.34997 | + | 0.504901i | ||||
\(863\) | 1.35368e16 | 0.962627 | 0.481314 | − | 0.876548i | \(-0.340160\pi\) | ||||
0.481314 | + | 0.876548i | \(0.340160\pi\) | |||||||
\(864\) | −1.51576e15 | + | 2.38216e15i | −0.107104 | + | 0.168324i | ||||
\(865\) | −1.26217e15 | −0.0886198 | ||||||||
\(866\) | 4.76700e14 | − | 1.78291e14i | 0.0332580 | − | 0.0124388i | ||||
\(867\) | −1.37150e16 | + | 1.37150e16i | −0.950807 | + | 0.950807i | ||||
\(868\) | −4.55321e15 | − | 5.23554e15i | −0.313660 | − | 0.360664i | ||||
\(869\) | −1.94698e15 | − | 1.94698e15i | −0.133276 | − | 0.133276i | ||||
\(870\) | −2.66107e15 | + | 5.84090e15i | −0.181009 | + | 0.397305i | ||||
\(871\) | − | 5.06476e15i | − | 0.342341i | ||||||
\(872\) | −2.12101e15 | − | 7.15172e15i | −0.142463 | − | 0.480364i | ||||
\(873\) | − | 3.13166e15i | − | 0.209024i | ||||||
\(874\) | 2.21804e16 | + | 1.01053e16i | 1.47115 | + | 0.670246i | ||||
\(875\) | 8.43230e15 | + | 8.43230e15i | 0.555778 | + | 0.555778i | ||||
\(876\) | 7.91011e15 | + | 5.51376e14i | 0.518096 | + | 0.0361140i | ||||
\(877\) | 1.80704e16 | − | 1.80704e16i | 1.17617 | − | 1.17617i | 0.195454 | − | 0.980713i | \(-0.437382\pi\) |
0.980713 | − | 0.195454i | \(-0.0626179\pi\) | |||||||
\(878\) | −8.98881e14 | − | 2.40336e15i | −0.0581410 | − | 0.155453i | ||||
\(879\) | 1.28532e16 | 0.826177 | ||||||||
\(880\) | −7.08374e14 | − | 9.92369e13i | −0.0452489 | − | 0.00633897i | ||||
\(881\) | 1.07538e16 | 0.682642 | 0.341321 | − | 0.939947i | \(-0.389126\pi\) | ||||
0.341321 | + | 0.939947i | \(0.389126\pi\) | |||||||
\(882\) | −5.07308e15 | − | 1.35640e16i | −0.320033 | − | 0.855679i | ||||
\(883\) | 1.44950e15 | − | 1.44950e15i | 0.0908731 | − | 0.0908731i | −0.660209 | − | 0.751082i | \(-0.729532\pi\) |
0.751082 | + | 0.660209i | \(0.229532\pi\) | |||||||
\(884\) | −5.15914e14 | + | 7.40136e15i | −0.0321432 | + | 0.461131i | ||||
\(885\) | −5.58576e15 | − | 5.58576e15i | −0.345855 | − | 0.345855i | ||||
\(886\) | 1.51705e15 | + | 6.91158e14i | 0.0933501 | + | 0.0425296i | ||||
\(887\) | 2.98383e14i | 0.0182471i | 0.999958 | + | 0.00912354i | \(0.00290415\pi\) | ||||
−0.999958 | + | 0.00912354i | \(0.997096\pi\) | |||||||
\(888\) | 1.44459e16 | − | 2.66270e16i | 0.877956 | − | 1.61827i | ||||
\(889\) | 5.86252e14i | 0.0354099i | ||||||||
\(890\) | 1.36609e14 | − | 2.99848e14i | 0.00820037 | − | 0.0179993i | ||||
\(891\) | 1.48995e15 | + | 1.48995e15i | 0.0888880 | + | 0.0888880i | ||||
\(892\) | 3.81576e15 | − | 3.31847e15i | 0.226243 | − | 0.196757i | ||||
\(893\) | −3.74400e16 | + | 3.74400e16i | −2.20624 | + | 2.20624i | ||||
\(894\) | 7.24826e14 | − | 2.71092e14i | 0.0424500 | − | 0.0158767i | ||||
\(895\) | −3.81693e15 | −0.222171 | ||||||||
\(896\) | 1.37952e16 | − | 1.86733e16i | 0.798057 | − | 1.08026i | ||||
\(897\) | 7.81978e15 | 0.449610 | ||||||||
\(898\) | 1.66039e16 | − | 6.21001e15i | 0.948832 | − | 0.354873i | ||||
\(899\) | 4.30958e15 | − | 4.30958e15i | 0.244769 | − | 0.244769i | ||||
\(900\) | −1.37588e16 | + | 1.19657e16i | −0.776688 | + | 0.675465i | ||||
\(901\) | 1.65201e16 | + | 1.65201e16i | 0.926883 | + | 0.926883i | ||||
\(902\) | −2.26197e13 | + | 4.96489e13i | −0.00126139 | + | 0.00276868i | ||||
\(903\) | 5.62931e16i | 3.12013i | ||||||||
\(904\) | −5.74467e15 | + | 1.05887e16i | −0.316475 | + | 0.583334i | ||||
\(905\) | 2.13230e15i | 0.116757i | ||||||||
\(906\) | −2.99795e16 | − | 1.36584e16i | −1.63162 | − | 0.743355i | ||||
\(907\) | 1.80050e16 | + | 1.80050e16i | 0.973986 | + | 0.973986i | 0.999670 | − | 0.0256843i | \(-0.00817648\pi\) |
−0.0256843 | + | 0.999670i | \(0.508176\pi\) | |||||||
\(908\) | −5.13201e14 | + | 7.36245e15i | −0.0275940 | + | 0.395868i | ||||
\(909\) | 1.61911e16 | − | 1.61911e16i | 0.865316 | − | 0.865316i | ||||
\(910\) | 9.07356e14 | + | 2.42602e15i | 0.0482003 | + | 0.128874i | ||||
\(911\) | −2.73035e16 | −1.44168 | −0.720838 | − | 0.693104i | \(-0.756243\pi\) | ||||
−0.720838 | + | 0.693104i | \(0.756243\pi\) | |||||||
\(912\) | −4.83574e16 | − | 6.77444e15i | −2.53800 | − | 0.355551i | ||||
\(913\) | 4.83289e15 | 0.252126 | ||||||||
\(914\) | −3.14378e15 | − | 8.40558e15i | −0.163022 | − | 0.435877i | ||||
\(915\) | 8.63901e15 | − | 8.63901e15i | 0.445295 | − | 0.445295i | ||||
\(916\) | 2.54555e16 | + | 1.77438e15i | 1.30424 | + | 0.0909121i | ||||
\(917\) | −1.80198e16 | − | 1.80198e16i | −0.917739 | − | 0.917739i | ||||
\(918\) | −4.96920e15 | − | 2.26393e15i | −0.251566 | − | 0.114612i | ||||
\(919\) | − | 5.96410e15i | − | 0.300130i | −0.988676 | − | 0.150065i | \(-0.952052\pi\) | ||
0.988676 | − | 0.150065i | \(-0.0479483\pi\) | |||||||
\(920\) | 1.60944e15 | + | 5.42677e15i | 0.0805083 | + | 0.271462i | ||||
\(921\) | 3.25418e16i | 1.61813i | ||||||||
\(922\) | 7.81670e15 | − | 1.71572e16i | 0.386370 | − | 0.848060i | ||||
\(923\) | −4.44381e15 | − | 4.44381e15i | −0.218346 | − | 0.218346i | ||||
\(924\) | 3.92433e15 | + | 4.51241e15i | 0.191677 | + | 0.220401i | ||||
\(925\) | 1.66139e16 | − | 1.66139e16i | 0.806662 | − | 0.806662i | ||||
\(926\) | −2.30646e16 | + | 8.62640e15i | −1.11323 | + | 0.416360i | ||||
\(927\) | 5.00117e15 | 0.239957 | ||||||||
\(928\) | 1.72052e16 | + | 1.09476e16i | 0.820629 | + | 0.522163i | ||||
\(929\) | 1.74073e16 | 0.825365 | 0.412683 | − | 0.910875i | \(-0.364592\pi\) | ||||
0.412683 | + | 0.910875i | \(0.364592\pi\) | |||||||
\(930\) | −3.17429e15 | + | 1.18722e15i | −0.149620 | + | 0.0559595i | ||||
\(931\) | 2.12688e16 | − | 2.12688e16i | 0.996598 | − | 0.996598i | ||||
\(932\) | 1.48538e16 | + | 1.70798e16i | 0.691912 | + | 0.795599i | ||||
\(933\) | −2.20929e16 | − | 2.20929e16i | −1.02307 | − | 1.02307i | ||||
\(934\) | 1.83726e15 | − | 4.03267e15i | 0.0845789 | − | 0.185646i | ||||
\(935\) | − | 1.38336e15i | − | 0.0633099i | ||||||
\(936\) | −7.98937e15 | + | 2.36943e15i | −0.363492 | + | 0.107802i | ||||
\(937\) | − | 8.96273e15i | − | 0.405390i | −0.979242 | − | 0.202695i | \(-0.935030\pi\) | ||
0.979242 | − | 0.202695i | \(-0.0649699\pi\) | |||||||
\(938\) | −2.78924e16 | − | 1.27076e16i | −1.25421 | − | 0.571409i | ||||
\(939\) | 4.64999e15 | + | 4.64999e15i | 0.207870 | + | 0.207870i | ||||
\(940\) | −1.22665e16 | − | 8.55038e14i | −0.545151 | − | 0.0379999i | ||||
\(941\) | 4.72270e15 | − | 4.72270e15i | 0.208664 | − | 0.208664i | −0.595036 | − | 0.803699i | \(-0.702862\pi\) |
0.803699 | + | 0.595036i | \(0.202862\pi\) | |||||||
\(942\) | −6.07091e15 | − | 1.62319e16i | −0.266670 | − | 0.713001i | ||||
\(943\) | 4.31747e14 | 0.0188545 | ||||||||
\(944\) | −2.00376e16 | + | 1.51133e16i | −0.869960 | + | 0.656164i | ||||
\(945\) | −1.90635e15 | −0.0822862 | ||||||||
\(946\) | −1.93038e15 | − | 5.16129e15i | −0.0828401 | − | 0.221492i | ||||
\(947\) | −1.11972e16 | + | 1.11972e16i | −0.477732 | + | 0.477732i | −0.904406 | − | 0.426674i | \(-0.859685\pi\) |
0.426674 | + | 0.904406i | \(0.359685\pi\) | |||||||
\(948\) | 3.03537e15 | − | 4.35459e16i | 0.128756 | − | 1.84714i | ||||
\(949\) | 1.98744e15 | + | 1.98744e15i | 0.0838167 | + | 0.0838167i | ||||
\(950\) | −3.44642e16 | − | 1.57017e16i | −1.44507 | − | 0.658364i | ||||
\(951\) | − | 1.30525e16i | − | 0.544127i | ||||||
\(952\) | 3.94660e16 | + | 2.14114e16i | 1.63576 | + | 0.887445i | ||||
\(953\) | 1.58414e16i | 0.652804i | 0.945231 | + | 0.326402i | \(0.105836\pi\) | ||||
−0.945231 | + | 0.326402i | \(0.894164\pi\) | |||||||
\(954\) | −1.08793e16 | + | 2.38795e16i | −0.445744 | + | 0.978383i | ||||
\(955\) | 2.35329e15 | + | 2.35329e15i | 0.0958642 | + | 0.0958642i | ||||
\(956\) | 1.29359e16 | − | 1.12500e16i | 0.523934 | − | 0.455652i | ||||
\(957\) | −3.71435e15 | + | 3.71435e15i | −0.149578 | + | 0.149578i | ||||
\(958\) | −2.31170e16 | + | 8.64600e15i | −0.925596 | + | 0.346182i | ||||
\(959\) | −1.32122e16 | −0.525986 | ||||||||
\(960\) | −6.18239e15 | − | 9.50627e15i | −0.244717 | − | 0.376286i | ||||
\(961\) | −2.21904e16 | −0.873348 | ||||||||
\(962\) | 1.00575e16 | − | 3.76161e15i | 0.393575 | − | 0.147201i | ||||
\(963\) | 1.16064e16 | − | 1.16064e16i | 0.451601 | − | 0.451601i | ||||
\(964\) | 2.30146e16 | − | 2.00152e16i | 0.890389 | − | 0.774348i | ||||
\(965\) | 6.95115e15 | + | 6.95115e15i | 0.267397 | + | 0.267397i | ||||
\(966\) | 1.96200e16 | − | 4.30647e16i | 0.750454 | − | 1.64720i | ||||
\(967\) | 3.29506e16i | 1.25319i | 0.779345 | + | 0.626596i | \(0.215552\pi\) | ||||
−0.779345 | + | 0.626596i | \(0.784448\pi\) | |||||||
\(968\) | 2.27284e16 | + | 1.23308e16i | 0.859516 | + | 0.466311i | ||||
\(969\) | − | 9.44356e16i | − | 3.55103i | ||||||
\(970\) | 1.37462e15 | + | 6.26266e14i | 0.0513969 | + | 0.0234161i | ||||
\(971\) | −1.54480e16 | − | 1.54480e16i | −0.574335 | − | 0.574335i | 0.359002 | − | 0.933337i | \(-0.383117\pi\) |
−0.933337 | + | 0.359002i | \(0.883117\pi\) | |||||||
\(972\) | −2.69812e15 | + | 3.87075e16i | −0.0997461 | + | 1.43097i | ||||
\(973\) | 1.05375e16 | − | 1.05375e16i | 0.387362 | − | 0.387362i | ||||
\(974\) | 4.32832e15 | + | 1.15727e16i | 0.158214 | + | 0.423021i | ||||
\(975\) | −1.21505e16 | −0.441639 | ||||||||
\(976\) | −2.33744e16 | − | 3.09904e16i | −0.844824 | − | 1.12009i | ||||
\(977\) | −4.75813e15 | −0.171008 | −0.0855040 | − | 0.996338i | \(-0.527250\pi\) | ||||
−0.0855040 | + | 0.996338i | \(0.527250\pi\) | |||||||
\(978\) | −2.62682e15 | − | 7.02340e15i | −0.0938788 | − | 0.251006i | ||||
\(979\) | 1.90679e14 | − | 1.90679e14i | 0.00677640 | − | 0.00677640i | ||||
\(980\) | 6.96831e15 | + | 4.85728e14i | 0.246255 | + | 0.0171652i | ||||
\(981\) | 1.14580e16 | + | 1.14580e16i | 0.402650 | + | 0.402650i | ||||
\(982\) | −1.42521e15 | − | 6.49316e14i | −0.0498042 | − | 0.0226904i | ||||
\(983\) | − | 1.45977e16i | − | 0.507270i | −0.967300 | − | 0.253635i | \(-0.918374\pi\) | ||
0.967300 | − | 0.253635i | \(-0.0816262\pi\) | |||||||
\(984\) | −8.29242e14 | + | 2.45931e14i | −0.0286555 | + | 0.00849847i | ||||
\(985\) | − | 2.55684e15i | − | 0.0878628i | ||||||
\(986\) | −1.63513e16 | + | 3.58902e16i | −0.558767 | + | 1.22646i | ||||
\(987\) | 7.26920e16 | + | 7.26920e16i | 2.47026 | + | 2.47026i | ||||
\(988\) | −1.13582e16 | − | 1.30603e16i | −0.383838 | − | 0.441358i | ||||
\(989\) | −3.08346e16 | + | 3.08346e16i | −1.03623 | + | 1.03623i | ||||
\(990\) | 1.45532e15 | − | 5.44305e14i | 0.0486368 | − | 0.0181907i | ||||
\(991\) | 3.14429e16 | 1.04500 | 0.522501 | − | 0.852639i | \(-0.324999\pi\) | ||||
0.522501 | + | 0.852639i | \(0.324999\pi\) | |||||||
\(992\) | 2.33634e15 | + | 1.05111e16i | 0.0772186 | + | 0.347404i | ||||
\(993\) | −1.00792e15 | −0.0331286 | ||||||||
\(994\) | −3.56223e16 | + | 1.33231e16i | −1.16439 | + | 0.435492i | ||||
\(995\) | −9.80108e15 | + | 9.80108e15i | −0.318601 | + | 0.318601i | ||||
\(996\) | 5.02785e16 | + | 5.78130e16i | 1.62538 | + | 1.86896i | ||||
\(997\) | 1.86303e16 | + | 1.86303e16i | 0.598958 | + | 0.598958i | 0.940035 | − | 0.341077i | \(-0.110792\pi\) |
−0.341077 | + | 0.940035i | \(0.610792\pi\) | |||||||
\(998\) | 1.44593e16 | − | 3.17373e16i | 0.462306 | − | 1.01473i | ||||
\(999\) | 7.90311e15i | 0.251297i |
(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 | 16.12.e.a.5.3 | ✓ | 42 | |
4.3 | odd | 2 | 64.12.e.a.49.18 | 42 | |||
8.3 | odd | 2 | 128.12.e.a.97.4 | 42 | |||
8.5 | even | 2 | 128.12.e.b.97.18 | 42 | |||
16.3 | odd | 4 | 64.12.e.a.17.18 | 42 | |||
16.5 | even | 4 | 128.12.e.b.33.18 | 42 | |||
16.11 | odd | 4 | 128.12.e.a.33.4 | 42 | |||
16.13 | even | 4 | inner | 16.12.e.a.13.3 | yes | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.12.e.a.5.3 | ✓ | 42 | 1.1 | even | 1 | trivial | |
16.12.e.a.13.3 | yes | 42 | 16.13 | even | 4 | inner | |
64.12.e.a.17.18 | 42 | 16.3 | odd | 4 | |||
64.12.e.a.49.18 | 42 | 4.3 | odd | 2 | |||
128.12.e.a.33.4 | 42 | 16.11 | odd | 4 | |||
128.12.e.a.97.4 | 42 | 8.3 | odd | 2 | |||
128.12.e.b.33.18 | 42 | 16.5 | even | 4 | |||
128.12.e.b.97.18 | 42 | 8.5 | even | 2 |