Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [21,30,Mod(4,21)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(21, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 30, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("21.4");
S:= CuspForms(chi, 30);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 21 = 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 30 \) |
Character orbit: | \([\chi]\) | \(=\) | 21.e (of order \(3\), 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: | \(111.883889004\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 4.7 | ||
Character | \(\chi\) | \(=\) | 21.4 |
Dual form | 21.30.e.b.16.7 |
$q$-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 \(\left(\mathbb{Z}/21\mathbb{Z}\right)^\times\).
\(n\) | \(8\) | \(10\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −9025.62 | − | 15632.8i | −0.389531 | − | 0.674687i | 0.602856 | − | 0.797850i | \(-0.294030\pi\) |
−0.992386 | + | 0.123163i | \(0.960696\pi\) | |||||||
\(3\) | −2.39148e6 | + | 4.14217e6i | −0.288675 | + | 0.500000i | ||||
\(4\) | 1.05512e8 | − | 1.82752e8i | 0.196531 | − | 0.340402i | ||||
\(5\) | −6.88316e9 | − | 1.19220e10i | −0.504339 | − | 0.873541i | −0.999987 | − | 0.00501772i | \(-0.998403\pi\) |
0.495648 | − | 0.868523i | \(-0.334931\pi\) | |||||||
\(6\) | 8.63385e10 | 0.449792 | ||||||||
\(7\) | −1.50044e12 | − | 9.84161e11i | −0.836177 | − | 0.548459i | ||||
\(8\) | −1.35004e13 | −1.08528 | ||||||||
\(9\) | −1.14384e13 | − | 1.98119e13i | −0.166667 | − | 0.288675i | ||||
\(10\) | −1.24249e14 | + | 2.15206e14i | −0.392911 | + | 0.680543i | ||||
\(11\) | −3.33533e14 | + | 5.77697e14i | −0.264817 | + | 0.458676i | −0.967516 | − | 0.252811i | \(-0.918645\pi\) |
0.702699 | + | 0.711487i | \(0.251978\pi\) | |||||||
\(12\) | 5.04660e14 | + | 8.74098e14i | 0.113467 | + | 0.196531i | ||||
\(13\) | −1.84474e16 | −1.29944 | −0.649720 | − | 0.760174i | \(-0.725114\pi\) | ||||
−0.649720 | + | 0.760174i | \(0.725114\pi\) | |||||||
\(14\) | −1.84278e15 | + | 3.23388e16i | −0.0443218 | + | 0.777800i | ||||
\(15\) | 6.58439e16 | 0.582361 | ||||||||
\(16\) | 6.52033e16 | + | 1.12935e17i | 0.226220 | + | 0.391824i | ||||
\(17\) | −2.58314e17 | + | 4.47413e17i | −0.372082 | + | 0.644465i | −0.989886 | − | 0.141868i | \(-0.954689\pi\) |
0.617804 | + | 0.786332i | \(0.288023\pi\) | |||||||
\(18\) | −2.06477e17 | + | 3.57629e17i | −0.129844 | + | 0.224896i | ||||
\(19\) | 2.79792e18 | + | 4.84614e18i | 0.803356 | + | 1.39145i | 0.917396 | + | 0.397977i | \(0.130288\pi\) |
−0.114040 | + | 0.993476i | \(0.536379\pi\) | |||||||
\(20\) | −2.90502e18 | −0.396474 | ||||||||
\(21\) | 7.66485e18 | − | 3.86149e18i | 0.515613 | − | 0.259762i | ||||
\(22\) | 1.20414e19 | 0.412617 | ||||||||
\(23\) | −1.01019e19 | − | 1.74969e19i | −0.181697 | − | 0.314708i | 0.760762 | − | 0.649031i | \(-0.224826\pi\) |
−0.942458 | + | 0.334323i | \(0.891492\pi\) | |||||||
\(24\) | 3.22861e19 | − | 5.59211e19i | 0.313294 | − | 0.542641i | ||||
\(25\) | −1.62349e18 | + | 2.81196e18i | −0.00871602 | + | 0.0150966i | ||||
\(26\) | 1.66499e20 | + | 2.88385e20i | 0.506172 | + | 0.876715i | ||||
\(27\) | 1.09419e20 | 0.192450 | ||||||||
\(28\) | −3.38172e20 | + | 1.70369e20i | −0.351032 | + | 0.176847i | ||||
\(29\) | 2.56826e21 | 1.60276 | 0.801380 | − | 0.598155i | \(-0.204099\pi\) | ||||
0.801380 | + | 0.598155i | \(0.204099\pi\) | |||||||
\(30\) | −5.94281e20 | − | 1.02933e21i | −0.226848 | − | 0.392911i | ||||
\(31\) | −1.84738e21 | + | 3.19976e21i | −0.438341 | + | 0.759229i | −0.997562 | − | 0.0697897i | \(-0.977767\pi\) |
0.559221 | + | 0.829019i | \(0.311101\pi\) | |||||||
\(32\) | −2.44699e21 | + | 4.23831e21i | −0.366402 | + | 0.634627i | ||||
\(33\) | −1.59528e21 | − | 2.76310e21i | −0.152892 | − | 0.264817i | ||||
\(34\) | 9.32577e21 | 0.579749 | ||||||||
\(35\) | −1.40535e21 | + | 2.46624e22i | −0.0573850 | + | 1.00704i | ||||
\(36\) | −4.82755e21 | −0.131021 | ||||||||
\(37\) | −3.72400e22 | − | 6.45015e22i | −0.679335 | − | 1.17664i | −0.975181 | − | 0.221408i | \(-0.928935\pi\) |
0.295846 | − | 0.955236i | \(-0.404398\pi\) | |||||||
\(38\) | 5.05059e22 | − | 8.74788e22i | 0.625864 | − | 1.08403i | ||||
\(39\) | 4.41166e22 | − | 7.64122e22i | 0.375116 | − | 0.649720i | ||||
\(40\) | 9.29256e22 | + | 1.60952e23i | 0.547350 | + | 0.948038i | ||||
\(41\) | −4.72810e23 | −1.94680 | −0.973400 | − | 0.229114i | \(-0.926417\pi\) | ||||
−0.973400 | + | 0.229114i | \(0.926417\pi\) | |||||||
\(42\) | −1.29546e23 | − | 8.49710e22i | −0.376105 | − | 0.246692i | ||||
\(43\) | −1.19955e23 | −0.247586 | −0.123793 | − | 0.992308i | \(-0.539506\pi\) | ||||
−0.123793 | + | 0.992308i | \(0.539506\pi\) | |||||||
\(44\) | 7.03835e22 | + | 1.21908e23i | 0.104090 | + | 0.180288i | ||||
\(45\) | −1.57465e23 | + | 2.72737e23i | −0.168113 | + | 0.291180i | ||||
\(46\) | −1.82351e23 | + | 3.15841e23i | −0.141553 | + | 0.245177i | ||||
\(47\) | 4.26144e23 | + | 7.38103e23i | 0.242180 | + | 0.419467i | 0.961335 | − | 0.275382i | \(-0.0888043\pi\) |
−0.719155 | + | 0.694849i | \(0.755471\pi\) | |||||||
\(48\) | −6.23731e23 | −0.261216 | ||||||||
\(49\) | 1.28276e24 | + | 2.95336e24i | 0.398384 | + | 0.917219i | ||||
\(50\) | 5.86118e22 | 0.0135806 | ||||||||
\(51\) | −1.23551e24 | − | 2.13996e24i | −0.214822 | − | 0.372082i | ||||
\(52\) | −1.94642e24 | + | 3.37130e24i | −0.255381 | + | 0.442332i | ||||
\(53\) | −8.73619e23 | + | 1.51315e24i | −0.0869605 | + | 0.150620i | −0.906225 | − | 0.422796i | \(-0.861049\pi\) |
0.819264 | + | 0.573416i | \(0.194382\pi\) | |||||||
\(54\) | −9.87574e23 | − | 1.71053e24i | −0.0749653 | − | 0.129844i | ||||
\(55\) | 9.18305e24 | 0.534230 | ||||||||
\(56\) | 2.02566e25 | + | 1.32866e25i | 0.907488 | + | 0.595233i | ||||
\(57\) | −2.67647e25 | −0.927635 | ||||||||
\(58\) | −2.31802e25 | − | 4.01492e25i | −0.624325 | − | 1.08136i | ||||
\(59\) | 2.18537e25 | − | 3.78517e25i | 0.459379 | − | 0.795667i | −0.539550 | − | 0.841954i | \(-0.681405\pi\) |
0.998928 | + | 0.0462867i | \(0.0147388\pi\) | |||||||
\(60\) | 6.94732e24 | − | 1.20331e25i | 0.114452 | − | 0.198237i | ||||
\(61\) | 6.32579e25 | + | 1.09566e26i | 0.820034 | + | 1.42034i | 0.905656 | + | 0.424014i | \(0.139379\pi\) |
−0.0856213 | + | 0.996328i | \(0.527288\pi\) | |||||||
\(62\) | 6.66951e25 | 0.682990 | ||||||||
\(63\) | −2.33540e24 | + | 4.09838e25i | −0.0189637 | + | 0.332793i | ||||
\(64\) | 1.58354e26 | 1.02334 | ||||||||
\(65\) | 1.26976e26 | + | 2.19929e26i | 0.655358 | + | 1.13511i | ||||
\(66\) | −2.87968e25 | + | 4.98774e25i | −0.119112 | + | 0.206309i | ||||
\(67\) | −9.73747e25 | + | 1.68658e26i | −0.323863 | + | 0.560947i | −0.981282 | − | 0.192578i | \(-0.938315\pi\) |
0.657418 | + | 0.753526i | \(0.271648\pi\) | |||||||
\(68\) | 5.45104e25 | + | 9.44148e25i | 0.146251 | + | 0.253315i | ||||
\(69\) | 9.66337e25 | 0.209805 | ||||||||
\(70\) | 3.98227e26 | − | 2.00624e26i | 0.701794 | − | 0.353558i | ||||
\(71\) | −4.09404e26 | −0.587362 | −0.293681 | − | 0.955903i | \(-0.594880\pi\) | ||||
−0.293681 | + | 0.955903i | \(0.594880\pi\) | |||||||
\(72\) | 1.54423e26 | + | 2.67469e26i | 0.180880 | + | 0.313294i | ||||
\(73\) | 4.48142e25 | − | 7.76205e25i | 0.0429768 | − | 0.0744381i | −0.843737 | − | 0.536757i | \(-0.819649\pi\) |
0.886714 | + | 0.462319i | \(0.152982\pi\) | |||||||
\(74\) | −6.72227e26 | + | 1.16433e27i | −0.529244 | + | 0.916678i | ||||
\(75\) | −7.76508e24 | − | 1.34495e25i | −0.00503220 | − | 0.00871602i | ||||
\(76\) | 1.18086e27 | 0.631538 | ||||||||
\(77\) | 1.06899e27 | − | 5.38551e26i | 0.472999 | − | 0.238293i | ||||
\(78\) | −1.59272e27 | −0.584477 | ||||||||
\(79\) | −2.20780e27 | − | 3.82403e27i | −0.673547 | − | 1.16662i | −0.976891 | − | 0.213736i | \(-0.931437\pi\) |
0.303344 | − | 0.952881i | \(-0.401897\pi\) | |||||||
\(80\) | 8.97610e26 | − | 1.55471e27i | 0.228183 | − | 0.395224i | ||||
\(81\) | −2.61674e26 | + | 4.53232e26i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 4.26741e27 | + | 7.39136e27i | 0.758338 | + | 1.31348i | ||||
\(83\) | −1.03646e28 | −1.54498 | −0.772488 | − | 0.635029i | \(-0.780988\pi\) | ||||
−0.772488 | + | 0.635029i | \(0.780988\pi\) | |||||||
\(84\) | 1.03038e26 | − | 1.80820e27i | 0.0129106 | − | 0.226567i | ||||
\(85\) | 7.11206e27 | 0.750622 | ||||||||
\(86\) | 1.08267e27 | + | 1.87524e27i | 0.0964425 | + | 0.167043i | ||||
\(87\) | −6.14196e27 | + | 1.06382e28i | −0.462677 | + | 0.801380i | ||||
\(88\) | 4.50284e27 | − | 7.79915e27i | 0.287401 | − | 0.497793i | ||||
\(89\) | −1.40869e28 | − | 2.43992e28i | −0.763238 | − | 1.32197i | −0.941173 | − | 0.337925i | \(-0.890275\pi\) |
0.177935 | − | 0.984042i | \(-0.443058\pi\) | |||||||
\(90\) | 5.68486e27 | 0.261941 | ||||||||
\(91\) | 2.76793e28 | + | 1.81552e28i | 1.08656 | + | 0.712690i | ||||
\(92\) | −4.26347e27 | −0.142837 | ||||||||
\(93\) | −8.83597e27 | − | 1.53044e28i | −0.253076 | − | 0.438341i | ||||
\(94\) | 7.69243e27 | − | 1.33237e28i | 0.188673 | − | 0.326791i | ||||
\(95\) | 3.85170e28 | − | 6.67135e28i | 0.810328 | − | 1.40353i | ||||
\(96\) | −1.17039e28 | − | 2.02717e28i | −0.211542 | − | 0.366402i | ||||
\(97\) | −8.32280e28 | −1.29443 | −0.647216 | − | 0.762307i | \(-0.724067\pi\) | ||||
−0.647216 | + | 0.762307i | \(0.724067\pi\) | |||||||
\(98\) | 3.45916e28 | − | 4.67090e28i | 0.463653 | − | 0.626070i | ||||
\(99\) | 1.52603e28 | 0.176544 | ||||||||
\(100\) | 3.42594e26 | + | 5.93391e26i | 0.00342594 | + | 0.00593391i | ||||
\(101\) | −7.60341e28 | + | 1.31695e29i | −0.658186 | + | 1.14001i | 0.322899 | + | 0.946434i | \(0.395343\pi\) |
−0.981085 | + | 0.193578i | \(0.937991\pi\) | |||||||
\(102\) | −2.23024e28 | + | 3.86289e28i | −0.167359 | + | 0.289875i | ||||
\(103\) | −1.27941e29 | − | 2.21600e29i | −0.833432 | − | 1.44355i | −0.895301 | − | 0.445462i | \(-0.853039\pi\) |
0.0618688 | − | 0.998084i | \(-0.480294\pi\) | |||||||
\(104\) | 2.49047e29 | 1.41026 | ||||||||
\(105\) | −9.87951e28 | − | 6.48010e28i | −0.486957 | − | 0.319401i | ||||
\(106\) | 3.15398e28 | 0.135495 | ||||||||
\(107\) | −4.44681e28 | − | 7.70210e28i | −0.166719 | − | 0.288765i | 0.770546 | − | 0.637385i | \(-0.219984\pi\) |
−0.937264 | + | 0.348620i | \(0.886650\pi\) | |||||||
\(108\) | 1.15450e28 | − | 1.99965e28i | 0.0378225 | − | 0.0655104i | ||||
\(109\) | 9.52228e28 | − | 1.64931e29i | 0.272933 | − | 0.472735i | −0.696678 | − | 0.717384i | \(-0.745339\pi\) |
0.969612 | + | 0.244649i | \(0.0786728\pi\) | |||||||
\(110\) | −8.28827e28 | − | 1.43557e29i | −0.208099 | − | 0.360438i | ||||
\(111\) | 3.56235e29 | 0.784429 | ||||||||
\(112\) | 1.33127e28 | − | 2.33624e29i | 0.0257398 | − | 0.451706i | ||||
\(113\) | 3.40220e29 | 0.578259 | 0.289130 | − | 0.957290i | \(-0.406634\pi\) | ||||
0.289130 | + | 0.957290i | \(0.406634\pi\) | |||||||
\(114\) | 2.41568e29 | + | 4.18408e29i | 0.361343 | + | 0.625864i | ||||
\(115\) | −1.39065e29 | + | 2.40868e29i | −0.183274 | + | 0.317439i | ||||
\(116\) | 2.70983e29 | − | 4.69356e29i | 0.314993 | − | 0.545583i | ||||
\(117\) | 2.11008e29 | + | 3.65477e29i | 0.216573 | + | 0.375116i | ||||
\(118\) | −7.88972e29 | −0.715769 | ||||||||
\(119\) | 8.27912e29 | − | 4.17096e29i | 0.664589 | − | 0.334815i | ||||
\(120\) | −8.88920e29 | −0.632026 | ||||||||
\(121\) | 5.70666e29 | + | 9.88422e29i | 0.359744 | + | 0.623095i | ||||
\(122\) | 1.14188e30 | − | 1.97780e30i | 0.638858 | − | 1.10653i | ||||
\(123\) | 1.13072e30 | − | 1.95846e30i | 0.561993 | − | 0.973400i | ||||
\(124\) | 3.89842e29 | + | 6.75226e29i | 0.172296 | + | 0.298425i | ||||
\(125\) | −2.51948e30 | −0.991095 | ||||||||
\(126\) | 6.61772e29 | − | 3.33396e29i | 0.231918 | − | 0.116839i | ||||
\(127\) | 2.71889e30 | 0.849645 | 0.424823 | − | 0.905277i | \(-0.360336\pi\) | ||||
0.424823 | + | 0.905277i | \(0.360336\pi\) | |||||||
\(128\) | −1.15524e29 | − | 2.00093e29i | −0.0322201 | − | 0.0558068i | ||||
\(129\) | 2.86871e29 | − | 4.96875e29i | 0.0714720 | − | 0.123793i | ||||
\(130\) | 2.29208e30 | − | 3.96999e30i | 0.510565 | − | 0.884324i | ||||
\(131\) | −1.78449e30 | − | 3.09083e30i | −0.355697 | − | 0.616086i | 0.631540 | − | 0.775343i | \(-0.282423\pi\) |
−0.987237 | + | 0.159258i | \(0.949090\pi\) | |||||||
\(132\) | −6.73284e29 | −0.120192 | ||||||||
\(133\) | 5.71258e29 | − | 1.00250e31i | 0.0914078 | − | 1.60411i | ||||
\(134\) | 3.51547e30 | 0.504619 | ||||||||
\(135\) | −7.53148e29 | − | 1.30449e30i | −0.0970601 | − | 0.168113i | ||||
\(136\) | 3.48735e30 | − | 6.04026e30i | 0.403814 | − | 0.699426i | ||||
\(137\) | 1.66915e29 | − | 2.89105e29i | 0.0173799 | − | 0.0301029i | −0.857205 | − | 0.514976i | \(-0.827801\pi\) |
0.874585 | + | 0.484873i | \(0.161134\pi\) | |||||||
\(138\) | −8.72179e29 | − | 1.51066e30i | −0.0817257 | − | 0.141553i | ||||
\(139\) | 1.71061e31 | 1.44356 | 0.721781 | − | 0.692122i | \(-0.243324\pi\) | ||||
0.721781 | + | 0.692122i | \(0.243324\pi\) | |||||||
\(140\) | 4.35882e30 | + | 2.85901e30i | 0.331522 | + | 0.217450i | ||||
\(141\) | −4.07647e30 | −0.279645 | ||||||||
\(142\) | 3.69512e30 | + | 6.40014e30i | 0.228796 | + | 0.396286i | ||||
\(143\) | 6.15281e30 | − | 1.06570e31i | 0.344113 | − | 0.596021i | ||||
\(144\) | 1.49164e30 | − | 2.58360e30i | 0.0754065 | − | 0.130608i | ||||
\(145\) | −1.76778e31 | − | 3.06188e31i | −0.808335 | − | 1.40008i | ||||
\(146\) | −1.61790e30 | −0.0669632 | ||||||||
\(147\) | −1.53010e31 | − | 1.74949e30i | −0.573613 | − | 0.0655860i | ||||
\(148\) | −1.57170e31 | −0.534043 | ||||||||
\(149\) | −1.27971e31 | − | 2.21652e31i | −0.394376 | − | 0.683079i | 0.598646 | − | 0.801014i | \(-0.295706\pi\) |
−0.993021 | + | 0.117935i | \(0.962372\pi\) | |||||||
\(150\) | −1.40169e29 | + | 2.42780e29i | −0.00392039 | + | 0.00679032i | ||||
\(151\) | 2.38204e31 | − | 4.12582e31i | 0.605040 | − | 1.04796i | −0.387005 | − | 0.922078i | \(-0.626490\pi\) |
0.992045 | − | 0.125883i | \(-0.0401763\pi\) | |||||||
\(152\) | −3.77731e31 | − | 6.54249e31i | −0.871867 | − | 1.51012i | ||||
\(153\) | 1.18188e31 | 0.248055 | ||||||||
\(154\) | −1.80674e31 | − | 1.18506e31i | −0.345021 | − | 0.226304i | ||||
\(155\) | 5.08633e31 | 0.884291 | ||||||||
\(156\) | −9.30966e30 | − | 1.61248e31i | −0.147444 | − | 0.255381i | ||||
\(157\) | 9.54560e30 | − | 1.65335e31i | 0.137803 | − | 0.238681i | −0.788862 | − | 0.614571i | \(-0.789329\pi\) |
0.926665 | + | 0.375889i | \(0.122663\pi\) | |||||||
\(158\) | −3.98536e31 | + | 6.90285e31i | −0.524735 | + | 0.908867i | ||||
\(159\) | −4.17849e30 | − | 7.23736e30i | −0.0502067 | − | 0.0869605i | ||||
\(160\) | 6.73721e31 | 0.739163 | ||||||||
\(161\) | −2.06252e30 | + | 3.61950e31i | −0.0206739 | + | 0.362805i | ||||
\(162\) | 9.44707e30 | 0.0865624 | ||||||||
\(163\) | 2.71893e31 | + | 4.70932e31i | 0.227865 | + | 0.394673i | 0.957175 | − | 0.289510i | \(-0.0934922\pi\) |
−0.729310 | + | 0.684183i | \(0.760159\pi\) | |||||||
\(164\) | −4.98872e31 | + | 8.64071e31i | −0.382607 | + | 0.662695i | ||||
\(165\) | −2.19611e31 | + | 3.80378e31i | −0.154219 | + | 0.267115i | ||||
\(166\) | 9.35473e31 | + | 1.62029e32i | 0.601816 | + | 1.04238i | ||||
\(167\) | 2.29146e32 | 1.35121 | 0.675605 | − | 0.737264i | \(-0.263882\pi\) | ||||
0.675605 | + | 0.737264i | \(0.263882\pi\) | |||||||
\(168\) | −1.03479e32 | + | 5.21318e31i | −0.559586 | + | 0.281915i | ||||
\(169\) | 1.38768e32 | 0.688542 | ||||||||
\(170\) | −6.41907e31 | − | 1.11182e32i | −0.292390 | − | 0.506435i | ||||
\(171\) | 6.40074e31 | − | 1.10864e32i | 0.267785 | − | 0.463818i | ||||
\(172\) | −1.26567e31 | + | 2.19221e31i | −0.0486585 | + | 0.0842790i | ||||
\(173\) | −7.00551e31 | − | 1.21339e32i | −0.247612 | − | 0.428876i | 0.715251 | − | 0.698868i | \(-0.246312\pi\) |
−0.962863 | + | 0.269991i | \(0.912979\pi\) | |||||||
\(174\) | 2.21740e32 | 0.720908 | ||||||||
\(175\) | 5.20337e30 | − | 2.62142e30i | 0.0155680 | − | 0.00784304i | ||||
\(176\) | −8.69899e31 | −0.239627 | ||||||||
\(177\) | 1.04526e32 | + | 1.81044e32i | 0.265222 | + | 0.459379i | ||||
\(178\) | −2.54286e32 | + | 4.40436e32i | −0.594610 | + | 1.02989i | ||||
\(179\) | −3.02655e32 | + | 5.24213e32i | −0.652497 | + | 1.13016i | 0.330018 | + | 0.943975i | \(0.392945\pi\) |
−0.982515 | + | 0.186183i | \(0.940388\pi\) | |||||||
\(180\) | 3.32288e31 | + | 5.75540e31i | 0.0660790 | + | 0.114452i | ||||
\(181\) | 2.32387e32 | 0.426454 | 0.213227 | − | 0.977003i | \(-0.431603\pi\) | ||||
0.213227 | + | 0.977003i | \(0.431603\pi\) | |||||||
\(182\) | 3.39945e31 | − | 5.96567e32i | 0.0575935 | − | 1.01070i | ||||
\(183\) | −6.05121e32 | −0.946894 | ||||||||
\(184\) | 1.36379e32 | + | 2.36216e32i | 0.197192 | + | 0.341547i | ||||
\(185\) | −5.12657e32 | + | 8.87948e32i | −0.685231 | + | 1.18685i | ||||
\(186\) | −1.59500e32 | + | 2.76262e32i | −0.197162 | + | 0.341495i | ||||
\(187\) | −1.72313e32 | − | 2.98454e32i | −0.197067 | − | 0.341330i | ||||
\(188\) | 1.79853e32 | 0.190384 | ||||||||
\(189\) | −1.64177e32 | − | 1.07686e32i | −0.160922 | − | 0.105551i | ||||
\(190\) | −1.39056e33 | −1.26259 | ||||||||
\(191\) | 1.47630e32 | + | 2.55703e32i | 0.124220 | + | 0.215155i | 0.921428 | − | 0.388550i | \(-0.127024\pi\) |
−0.797208 | + | 0.603705i | \(0.793690\pi\) | |||||||
\(192\) | −3.78701e32 | + | 6.55930e32i | −0.295412 | + | 0.511669i | ||||
\(193\) | −4.88351e32 | + | 8.45849e32i | −0.353306 | + | 0.611944i | −0.986827 | − | 0.161782i | \(-0.948276\pi\) |
0.633520 | + | 0.773726i | \(0.281609\pi\) | |||||||
\(194\) | 7.51184e32 | + | 1.30109e33i | 0.504221 | + | 0.873336i | ||||
\(195\) | −1.21465e33 | −0.756742 | ||||||||
\(196\) | 6.75079e32 | + | 7.71874e31i | 0.390518 | + | 0.0446512i | ||||
\(197\) | −6.78060e32 | −0.364341 | −0.182170 | − | 0.983267i | \(-0.558312\pi\) | ||||
−0.182170 | + | 0.983267i | \(0.558312\pi\) | |||||||
\(198\) | −1.37734e32 | − | 2.38562e32i | −0.0687695 | − | 0.119112i | ||||
\(199\) | 1.49566e33 | − | 2.59056e33i | 0.694165 | − | 1.20233i | −0.276296 | − | 0.961073i | \(-0.589107\pi\) |
0.970461 | − | 0.241257i | \(-0.0775596\pi\) | |||||||
\(200\) | 2.19177e31 | − | 3.79626e31i | 0.00945934 | − | 0.0163841i | ||||
\(201\) | −4.65740e32 | − | 8.06686e32i | −0.186982 | − | 0.323863i | ||||
\(202\) | 2.74502e33 | 1.02554 | ||||||||
\(203\) | −3.85354e33 | − | 2.52759e33i | −1.34019 | − | 0.879049i | ||||
\(204\) | −5.21443e32 | −0.168877 | ||||||||
\(205\) | 3.25443e33 | + | 5.63684e33i | 0.981847 | + | 1.70061i | ||||
\(206\) | −2.30949e33 | + | 4.00016e33i | −0.649295 | + | 1.12461i | ||||
\(207\) | −2.31098e32 | + | 4.00273e32i | −0.0605656 | + | 0.104903i | ||||
\(208\) | −1.20283e33 | − | 2.08336e33i | −0.293959 | − | 0.509151i | ||||
\(209\) | −3.73280e33 | −0.850968 | ||||||||
\(210\) | −1.21336e32 | + | 2.12931e33i | −0.0258113 | + | 0.452960i | ||||
\(211\) | 5.69004e33 | 1.12985 | 0.564924 | − | 0.825143i | \(-0.308905\pi\) | ||||
0.564924 | + | 0.825143i | \(0.308905\pi\) | |||||||
\(212\) | 1.84354e32 | + | 3.19311e32i | 0.0341809 | + | 0.0592031i | ||||
\(213\) | 9.79084e32 | − | 1.69582e33i | 0.169557 | − | 0.293681i | ||||
\(214\) | −8.02704e32 | + | 1.39032e33i | −0.129884 | + | 0.224966i | ||||
\(215\) | 8.25671e32 | + | 1.43010e33i | 0.124868 | + | 0.216277i | ||||
\(216\) | −1.47720e33 | −0.208863 | ||||||||
\(217\) | 5.92097e33 | − | 2.98294e33i | 0.782937 | − | 0.394438i | ||||
\(218\) | −3.43778e33 | −0.425264 | ||||||||
\(219\) | 2.14345e32 | + | 3.71257e32i | 0.0248127 | + | 0.0429768i | ||||
\(220\) | 9.68922e32 | − | 1.67822e33i | 0.104993 | − | 0.181853i | ||||
\(221\) | 4.76521e33 | − | 8.25359e33i | 0.483498 | − | 0.837443i | ||||
\(222\) | −3.21524e33 | − | 5.56896e33i | −0.305559 | − | 0.529244i | ||||
\(223\) | 1.18863e34 | 1.05834 | 0.529169 | − | 0.848516i | \(-0.322504\pi\) | ||||
0.529169 | + | 0.848516i | \(0.322504\pi\) | |||||||
\(224\) | 7.84276e33 | − | 3.95112e33i | 0.654444 | − | 0.329704i | ||||
\(225\) | 7.42803e31 | 0.00581068 | ||||||||
\(226\) | −3.07070e33 | − | 5.31860e33i | −0.225250 | − | 0.390144i | ||||
\(227\) | −8.92577e33 | + | 1.54599e34i | −0.614145 | + | 1.06373i | 0.376389 | + | 0.926462i | \(0.377166\pi\) |
−0.990534 | + | 0.137268i | \(0.956168\pi\) | |||||||
\(228\) | −2.82400e33 | + | 4.89131e33i | −0.182309 | + | 0.315769i | ||||
\(229\) | 7.83028e33 | + | 1.35624e34i | 0.474420 | + | 0.821719i | 0.999571 | − | 0.0292898i | \(-0.00932458\pi\) |
−0.525151 | + | 0.851009i | \(0.675991\pi\) | |||||||
\(230\) | 5.02060e33 | 0.285563 | ||||||||
\(231\) | −3.25712e32 | + | 5.71590e33i | −0.0173964 | + | 0.305289i | ||||
\(232\) | −3.46727e34 | −1.73945 | ||||||||
\(233\) | −1.90916e33 | − | 3.30677e33i | −0.0899875 | − | 0.155863i | 0.817518 | − | 0.575903i | \(-0.195349\pi\) |
−0.907506 | + | 0.420040i | \(0.862016\pi\) | |||||||
\(234\) | 3.80896e33 | − | 6.59732e33i | 0.168724 | − | 0.292238i | ||||
\(235\) | 5.86644e33 | − | 1.01610e34i | 0.244281 | − | 0.423108i | ||||
\(236\) | −4.61165e33 | − | 7.98762e33i | −0.180565 | − | 0.312747i | ||||
\(237\) | 2.11197e34 | 0.777745 | ||||||||
\(238\) | −1.39928e34 | − | 9.17806e33i | −0.484773 | − | 0.317969i | ||||
\(239\) | 2.34496e34 | 0.764481 | 0.382240 | − | 0.924063i | \(-0.375153\pi\) | ||||
0.382240 | + | 0.924063i | \(0.375153\pi\) | |||||||
\(240\) | 4.29324e33 | + | 7.43611e33i | 0.131741 | + | 0.228183i | ||||
\(241\) | 1.80219e34 | − | 3.12148e34i | 0.520658 | − | 0.901806i | −0.479054 | − | 0.877786i | \(-0.659020\pi\) |
0.999711 | − | 0.0240203i | \(-0.00764664\pi\) | |||||||
\(242\) | 1.03012e34 | − | 1.78422e34i | 0.280263 | − | 0.485430i | ||||
\(243\) | −1.25158e33 | − | 2.16780e33i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 2.66979e34 | 0.644650 | ||||||||
\(245\) | 2.63804e34 | − | 3.56215e34i | 0.600307 | − | 0.810594i | ||||
\(246\) | −4.08217e34 | −0.875654 | ||||||||
\(247\) | −5.16143e34 | − | 8.93985e34i | −1.04391 | − | 1.80811i | ||||
\(248\) | 2.49404e34 | − | 4.31981e34i | 0.475724 | − | 0.823978i | ||||
\(249\) | 2.47869e34 | − | 4.29321e34i | 0.445996 | − | 0.772488i | ||||
\(250\) | 2.27398e34 | + | 3.93866e34i | 0.386062 | + | 0.668679i | ||||
\(251\) | −6.32721e34 | −1.01378 | −0.506889 | − | 0.862011i | \(-0.669205\pi\) | ||||
−0.506889 | + | 0.862011i | \(0.669205\pi\) | |||||||
\(252\) | 7.24347e33 | + | 4.75109e33i | 0.109557 | + | 0.0718596i | ||||
\(253\) | 1.34772e34 | 0.192465 | ||||||||
\(254\) | −2.45397e34 | − | 4.25039e34i | −0.330963 | − | 0.573245i | ||||
\(255\) | −1.70084e34 | + | 2.94594e34i | −0.216686 | + | 0.375311i | ||||
\(256\) | 4.04225e34 | − | 7.00138e34i | 0.486568 | − | 0.842760i | ||||
\(257\) | 2.01462e34 | + | 3.48943e34i | 0.229173 | + | 0.396939i | 0.957563 | − | 0.288223i | \(-0.0930645\pi\) |
−0.728390 | + | 0.685162i | \(0.759731\pi\) | |||||||
\(258\) | −1.03568e34 | −0.111362 | ||||||||
\(259\) | −7.60337e33 | + | 1.33431e35i | −0.0772965 | + | 1.35647i | ||||
\(260\) | 5.35900e34 | 0.515194 | ||||||||
\(261\) | −2.93768e34 | − | 5.08822e34i | −0.267127 | − | 0.462677i | ||||
\(262\) | −3.22123e34 | + | 5.57933e34i | −0.277110 | + | 0.479969i | ||||
\(263\) | 4.93918e34 | − | 8.55492e34i | 0.402066 | − | 0.696398i | −0.591910 | − | 0.806004i | \(-0.701626\pi\) |
0.993975 | + | 0.109606i | \(0.0349591\pi\) | |||||||
\(264\) | 2.15369e34 | + | 3.73031e34i | 0.165931 | + | 0.287401i | ||||
\(265\) | 2.40530e34 | 0.175430 | ||||||||
\(266\) | −1.61874e35 | + | 8.15511e34i | −1.11788 | + | 0.563178i | ||||
\(267\) | 1.34754e35 | 0.881311 | ||||||||
\(268\) | 2.05484e34 | + | 3.55909e34i | 0.127299 | + | 0.220488i | ||||
\(269\) | −2.42039e34 | + | 4.19224e34i | −0.142062 | + | 0.246058i | −0.928273 | − | 0.371900i | \(-0.878707\pi\) |
0.786211 | + | 0.617958i | \(0.212040\pi\) | |||||||
\(270\) | −1.35953e34 | + | 2.35477e34i | −0.0756158 | + | 0.130970i | ||||
\(271\) | 6.00897e33 | + | 1.04078e34i | 0.0316771 | + | 0.0548663i | 0.881429 | − | 0.472316i | \(-0.156582\pi\) |
−0.849752 | + | 0.527182i | \(0.823249\pi\) | |||||||
\(272\) | −6.73717e34 | −0.336689 | ||||||||
\(273\) | −1.41396e35 | + | 7.12344e34i | −0.670008 | + | 0.337545i | ||||
\(274\) | −6.02604e33 | −0.0270800 | ||||||||
\(275\) | −1.08297e33 | − | 1.87576e33i | −0.00461629 | − | 0.00799566i | ||||
\(276\) | 1.01960e34 | − | 1.76600e34i | 0.0412334 | − | 0.0714183i | ||||
\(277\) | −1.50659e35 | + | 2.60950e35i | −0.578149 | + | 1.00138i | 0.417543 | + | 0.908657i | \(0.362891\pi\) |
−0.995692 | + | 0.0927256i | \(0.970442\pi\) | |||||||
\(278\) | −1.54393e35 | − | 2.67416e35i | −0.562312 | − | 0.973953i | ||||
\(279\) | 8.45244e34 | 0.292227 | ||||||||
\(280\) | 1.89728e34 | − | 3.32953e35i | 0.0622789 | − | 1.09293i | ||||
\(281\) | 2.81861e34 | 0.0878604 | 0.0439302 | − | 0.999035i | \(-0.486012\pi\) | ||||
0.0439302 | + | 0.999035i | \(0.486012\pi\) | |||||||
\(282\) | 3.67926e34 | + | 6.37267e34i | 0.108930 | + | 0.188673i | ||||
\(283\) | −2.26878e35 | + | 3.92965e35i | −0.638101 | + | 1.10522i | 0.347748 | + | 0.937588i | \(0.386946\pi\) |
−0.985849 | + | 0.167635i | \(0.946387\pi\) | |||||||
\(284\) | −4.31970e34 | + | 7.48194e34i | −0.115435 | + | 0.199939i | ||||
\(285\) | 1.84226e35 | + | 3.19088e35i | 0.467843 | + | 0.810328i | ||||
\(286\) | −2.22132e35 | −0.536171 | ||||||||
\(287\) | 7.09426e35 | + | 4.65322e35i | 1.62787 | + | 1.06774i | ||||
\(288\) | 1.11959e35 | 0.244268 | ||||||||
\(289\) | 1.07532e35 | + | 1.86251e35i | 0.223110 | + | 0.386438i | ||||
\(290\) | −3.19106e35 | + | 5.52707e35i | −0.629743 | + | 1.09075i | ||||
\(291\) | 1.99038e35 | − | 3.44745e35i | 0.373670 | − | 0.647216i | ||||
\(292\) | −9.45687e33 | − | 1.63798e34i | −0.0168926 | − | 0.0292588i | ||||
\(293\) | −2.21795e35 | −0.377026 | −0.188513 | − | 0.982071i | \(-0.560367\pi\) | ||||
−0.188513 | + | 0.982071i | \(0.560367\pi\) | |||||||
\(294\) | 1.10752e35 | + | 2.54988e35i | 0.179190 | + | 0.412557i | ||||
\(295\) | −6.01690e35 | −0.926731 | ||||||||
\(296\) | 5.02755e35 | + | 8.70798e35i | 0.737270 | + | 1.27699i | ||||
\(297\) | −3.64949e34 | + | 6.32110e34i | −0.0509640 | + | 0.0882722i | ||||
\(298\) | −2.31003e35 | + | 4.00109e35i | −0.307243 | + | 0.532161i | ||||
\(299\) | 1.86353e35 | + | 3.22772e35i | 0.236104 | + | 0.408944i | ||||
\(300\) | −3.27723e33 | −0.00395594 | ||||||||
\(301\) | 1.79986e35 | + | 1.18055e35i | 0.207026 | + | 0.135791i | ||||
\(302\) | −8.59977e35 | −0.942727 | ||||||||
\(303\) | −3.63669e35 | − | 6.29893e35i | −0.380004 | − | 0.658186i | ||||
\(304\) | −3.64867e35 | + | 6.31969e35i | −0.363470 | + | 0.629548i | ||||
\(305\) | 8.70828e35 | − | 1.50832e36i | 0.827151 | − | 1.43267i | ||||
\(306\) | −1.06672e35 | − | 1.84761e35i | −0.0966249 | − | 0.167359i | ||||
\(307\) | −7.24376e34 | −0.0625831 | −0.0312916 | − | 0.999510i | \(-0.509962\pi\) | ||||
−0.0312916 | + | 0.999510i | \(0.509962\pi\) | |||||||
\(308\) | 1.43704e34 | − | 2.52185e35i | 0.0118436 | − | 0.207842i | ||||
\(309\) | 1.22388e36 | 0.962364 | ||||||||
\(310\) | −4.59073e35 | − | 7.95137e35i | −0.344459 | − | 0.596620i | ||||
\(311\) | 3.92832e35 | − | 6.80404e35i | 0.281307 | − | 0.487238i | −0.690400 | − | 0.723428i | \(-0.742565\pi\) |
0.971707 | + | 0.236190i | \(0.0758987\pi\) | |||||||
\(312\) | −5.95593e35 | + | 1.03160e36i | −0.407106 | + | 0.705129i | ||||
\(313\) | −5.08479e34 | − | 8.80711e34i | −0.0331803 | − | 0.0574699i | 0.848958 | − | 0.528460i | \(-0.177230\pi\) |
−0.882139 | + | 0.470990i | \(0.843897\pi\) | |||||||
\(314\) | −3.44620e35 | −0.214714 | ||||||||
\(315\) | 5.04684e35 | − | 2.54256e35i | 0.300273 | − | 0.151275i | ||||
\(316\) | −9.31799e35 | −0.529492 | ||||||||
\(317\) | −1.42951e36 | − | 2.47598e36i | −0.775938 | − | 1.34396i | −0.934266 | − | 0.356577i | \(-0.883944\pi\) |
0.158328 | − | 0.987387i | \(-0.449390\pi\) | |||||||
\(318\) | −7.54269e34 | + | 1.30643e35i | −0.0391141 | + | 0.0677476i | ||||
\(319\) | −8.56602e35 | + | 1.48368e36i | −0.424438 | + | 0.735148i | ||||
\(320\) | −1.08998e36 | − | 1.88789e36i | −0.516110 | − | 0.893928i | ||||
\(321\) | 4.25379e35 | 0.192510 | ||||||||
\(322\) | 5.84446e35 | − | 2.94439e35i | 0.252833 | − | 0.127375i | ||||
\(323\) | −2.89097e36 | −1.19566 | ||||||||
\(324\) | 5.52194e34 | + | 9.56429e34i | 0.0218368 | + | 0.0378225i | ||||
\(325\) | 2.99490e34 | − | 5.18733e34i | 0.0113259 | − | 0.0196171i | ||||
\(326\) | 4.90800e35 | − | 8.50090e35i | 0.177521 | − | 0.307475i | ||||
\(327\) | 4.55448e35 | + | 7.88859e35i | 0.157578 | + | 0.272933i | ||||
\(328\) | 6.38314e36 | 2.11283 | ||||||||
\(329\) | 8.70069e34 | − | 1.52688e36i | 0.0275558 | − | 0.483575i | ||||
\(330\) | 7.92851e35 | 0.240292 | ||||||||
\(331\) | 6.85761e35 | + | 1.18777e36i | 0.198915 | + | 0.344531i | 0.948177 | − | 0.317743i | \(-0.102925\pi\) |
−0.749262 | + | 0.662274i | \(0.769592\pi\) | |||||||
\(332\) | −1.09359e36 | + | 1.89416e36i | −0.303636 | + | 0.525914i | ||||
\(333\) | −8.51931e35 | + | 1.47559e36i | −0.226445 | + | 0.392214i | ||||
\(334\) | −2.06818e36 | − | 3.58220e36i | −0.526338 | − | 0.911644i | ||||
\(335\) | 2.68098e36 | 0.653348 | ||||||||
\(336\) | 9.35874e35 | + | 6.13852e35i | 0.218423 | + | 0.143266i | ||||
\(337\) | 6.29368e36 | 1.40693 | 0.703463 | − | 0.710732i | \(-0.251636\pi\) | ||||
0.703463 | + | 0.710732i | \(0.251636\pi\) | |||||||
\(338\) | −1.25246e36 | − | 2.16933e36i | −0.268209 | − | 0.464551i | ||||
\(339\) | −8.13631e35 | + | 1.40925e36i | −0.166929 | + | 0.289130i | ||||
\(340\) | 7.50408e35 | − | 1.29974e36i | 0.147521 | − | 0.255513i | ||||
\(341\) | −1.23233e36 | − | 2.13445e36i | −0.232160 | − | 0.402113i | ||||
\(342\) | −2.31083e36 | −0.417243 | ||||||||
\(343\) | 9.81868e35 | − | 5.69379e36i | 0.169937 | − | 0.985455i | ||||
\(344\) | 1.61945e36 | 0.268701 | ||||||||
\(345\) | −6.65145e35 | − | 1.15207e36i | −0.105813 | − | 0.183274i | ||||
\(346\) | −1.26458e36 | + | 2.19032e36i | −0.192905 | + | 0.334121i | ||||
\(347\) | −5.32739e35 | + | 9.22731e35i | −0.0779358 | + | 0.134989i | −0.902359 | − | 0.430985i | \(-0.858166\pi\) |
0.824423 | + | 0.565974i | \(0.191500\pi\) | |||||||
\(348\) | 1.29610e36 | + | 2.24491e36i | 0.181861 | + | 0.314993i | ||||
\(349\) | 9.17906e36 | 1.23546 | 0.617731 | − | 0.786389i | \(-0.288052\pi\) | ||||
0.617731 | + | 0.786389i | \(0.288052\pi\) | |||||||
\(350\) | −8.79438e34 | − | 5.76835e34i | −0.0113558 | − | 0.00744843i | ||||
\(351\) | −2.01849e36 | −0.250077 | ||||||||
\(352\) | −1.63231e36 | − | 2.82724e36i | −0.194059 | − | 0.336119i | ||||
\(353\) | 5.36805e36 | − | 9.29773e36i | 0.612468 | − | 1.06083i | −0.378355 | − | 0.925660i | \(-0.623510\pi\) |
0.990823 | − | 0.135165i | \(-0.0431564\pi\) | |||||||
\(354\) | 1.88682e36 | − | 3.26806e36i | 0.206625 | − | 0.357884i | ||||
\(355\) | 2.81799e36 | + | 4.88091e36i | 0.296230 | + | 0.513085i | ||||
\(356\) | −5.94534e36 | −0.600001 | ||||||||
\(357\) | −2.52256e35 | + | 4.42683e36i | −0.0244429 | + | 0.428947i | ||||
\(358\) | 1.09266e37 | 1.01667 | ||||||||
\(359\) | −9.88729e36 | − | 1.71253e37i | −0.883503 | − | 1.53027i | −0.847420 | − | 0.530923i | \(-0.821845\pi\) |
−0.0360826 | − | 0.999349i | \(-0.511488\pi\) | |||||||
\(360\) | 2.12584e36 | − | 3.68206e36i | 0.182450 | − | 0.316013i | ||||
\(361\) | −9.59179e36 | + | 1.66135e37i | −0.790761 | + | 1.36964i | ||||
\(362\) | −2.09743e36 | − | 3.63286e36i | −0.166117 | − | 0.287723i | ||||
\(363\) | −5.45895e36 | −0.415397 | ||||||||
\(364\) | 6.23839e36 | − | 3.14285e36i | 0.456145 | − | 0.229802i | ||||
\(365\) | −1.23385e36 | −0.0866996 | ||||||||
\(366\) | 5.46159e36 | + | 9.45975e36i | 0.368845 | + | 0.638858i | ||||
\(367\) | −2.88220e36 | + | 4.99212e36i | −0.187097 | + | 0.324061i | −0.944281 | − | 0.329140i | \(-0.893241\pi\) |
0.757184 | + | 0.653201i | \(0.226574\pi\) | |||||||
\(368\) | 1.31735e36 | − | 2.28172e36i | 0.0822068 | − | 0.142386i | ||||
\(369\) | 5.40819e36 | + | 9.36727e36i | 0.324467 | + | 0.561993i | ||||
\(370\) | 1.85082e37 | 1.06767 | ||||||||
\(371\) | 2.80000e36 | − | 1.41062e36i | 0.155323 | − | 0.0782507i | ||||
\(372\) | −3.72920e36 | −0.198950 | ||||||||
\(373\) | 1.13789e37 | + | 1.97089e37i | 0.583880 | + | 1.01131i | 0.995014 | + | 0.0997352i | \(0.0317996\pi\) |
−0.411134 | + | 0.911575i | \(0.634867\pi\) | |||||||
\(374\) | −3.11045e36 | + | 5.38746e36i | −0.153527 | + | 0.265917i | ||||
\(375\) | 6.02529e36 | − | 1.04361e37i | 0.286104 | − | 0.495548i | ||||
\(376\) | −5.75313e36 | − | 9.96471e36i | −0.262833 | − | 0.455240i | ||||
\(377\) | −4.73777e37 | −2.08269 | ||||||||
\(378\) | −2.01635e35 | + | 3.53848e36i | −0.00852973 | + | 0.149688i | ||||
\(379\) | −2.74214e37 | −1.11640 | −0.558201 | − | 0.829706i | \(-0.688508\pi\) | ||||
−0.558201 | + | 0.829706i | \(0.688508\pi\) | |||||||
\(380\) | −8.12802e36 | − | 1.40781e37i | −0.318510 | − | 0.551675i | ||||
\(381\) | −6.50218e36 | + | 1.12621e37i | −0.245272 | + | 0.424823i | ||||
\(382\) | 2.66491e36 | − | 4.61576e36i | 0.0967751 | − | 0.167619i | ||||
\(383\) | −8.58577e36 | − | 1.48710e37i | −0.300191 | − | 0.519945i | 0.675988 | − | 0.736912i | \(-0.263717\pi\) |
−0.976179 | + | 0.216967i | \(0.930384\pi\) | |||||||
\(384\) | 1.10509e36 | 0.0372045 | ||||||||
\(385\) | −1.37787e37 | − | 9.03760e36i | −0.446711 | − | 0.293003i | ||||
\(386\) | 1.76307e37 | 0.550495 | ||||||||
\(387\) | 1.37210e36 | + | 2.37654e36i | 0.0412644 | + | 0.0714720i | ||||
\(388\) | −8.78154e36 | + | 1.52101e37i | −0.254396 | + | 0.440627i | ||||
\(389\) | −1.98376e37 | + | 3.43598e37i | −0.553632 | + | 0.958918i | 0.444377 | + | 0.895840i | \(0.353425\pi\) |
−0.998009 | + | 0.0630782i | \(0.979908\pi\) | |||||||
\(390\) | 1.09629e37 | + | 1.89884e37i | 0.294775 | + | 0.510565i | ||||
\(391\) | 1.04378e37 | 0.270424 | ||||||||
\(392\) | −1.73178e37 | − | 3.98716e37i | −0.432359 | − | 0.995441i | ||||
\(393\) | 1.70703e37 | 0.410724 | ||||||||
\(394\) | 6.11991e36 | + | 1.06000e37i | 0.141922 | + | 0.245816i | ||||
\(395\) | −3.03933e37 | + | 5.26428e37i | −0.679392 | + | 1.17674i | ||||
\(396\) | 1.61015e36 | − | 2.78886e36i | 0.0346965 | − | 0.0600961i | ||||
\(397\) | 2.40028e37 | + | 4.15741e37i | 0.498655 | + | 0.863696i | 0.999999 | − | 0.00155232i | \(-0.000494118\pi\) |
−0.501344 | + | 0.865248i | \(0.667161\pi\) | |||||||
\(398\) | −5.39970e37 | −1.08160 | ||||||||
\(399\) | 4.01590e37 | + | 2.63408e37i | 0.775667 | + | 0.508770i | ||||
\(400\) | −4.23427e35 | −0.00788694 | ||||||||
\(401\) | −3.69759e37 | − | 6.40442e37i | −0.664241 | − | 1.15050i | −0.979490 | − | 0.201490i | \(-0.935422\pi\) |
0.315249 | − | 0.949009i | \(-0.397912\pi\) | |||||||
\(402\) | −8.40719e36 | + | 1.45617e37i | −0.145671 | + | 0.252309i | ||||
\(403\) | 3.40794e37 | − | 5.90272e37i | 0.569598 | − | 0.986572i | ||||
\(404\) | 1.60450e37 | + | 2.77908e37i | 0.258708 | + | 0.448096i | ||||
\(405\) | 7.20457e36 | 0.112075 | ||||||||
\(406\) | −4.73275e36 | + | 8.30547e37i | −0.0710372 | + | 1.24663i | ||||
\(407\) | 4.96831e37 | 0.719597 | ||||||||
\(408\) | 1.66799e37 | + | 2.88904e37i | 0.233142 | + | 0.403814i | ||||
\(409\) | −5.82837e37 | + | 1.00950e38i | −0.786247 | + | 1.36182i | 0.142004 | + | 0.989866i | \(0.454646\pi\) |
−0.928251 | + | 0.371954i | \(0.878688\pi\) | |||||||
\(410\) | 5.87465e37 | − | 1.01752e38i | 0.764920 | − | 1.32488i | ||||
\(411\) | 7.98349e35 | + | 1.38278e36i | 0.0100343 | + | 0.0173799i | ||||
\(412\) | −5.39972e37 | −0.655182 | ||||||||
\(413\) | −7.00424e37 | + | 3.52868e37i | −0.820513 | + | 0.413368i | ||||
\(414\) | 8.34321e36 | 0.0943687 | ||||||||
\(415\) | 7.13415e37 | + | 1.23567e38i | 0.779192 | + | 1.34960i | ||||
\(416\) | 4.51406e37 | − | 7.81858e37i | 0.476117 | − | 0.824659i | ||||
\(417\) | −4.09089e37 | + | 7.08563e37i | −0.416720 | + | 0.721781i | ||||
\(418\) | 3.36908e37 | + | 5.83542e37i | 0.331478 | + | 0.574137i | ||||
\(419\) | 6.07527e37 | 0.577380 | 0.288690 | − | 0.957423i | \(-0.406780\pi\) | ||||
0.288690 | + | 0.957423i | \(0.406780\pi\) | |||||||
\(420\) | −2.22666e37 | + | 1.12177e37i | −0.204427 | + | 0.102989i | ||||
\(421\) | 1.84374e38 | 1.63535 | 0.817674 | − | 0.575682i | \(-0.195263\pi\) | ||||
0.817674 | + | 0.575682i | \(0.195263\pi\) | |||||||
\(422\) | −5.13561e37 | − | 8.89515e37i | −0.440111 | − | 0.762294i | ||||
\(423\) | 9.74881e36 | − | 1.68854e37i | 0.0807265 | − | 0.139822i | ||||
\(424\) | 1.17942e37 | − | 2.04282e37i | 0.0943766 | − | 0.163465i | ||||
\(425\) | −8.38738e35 | − | 1.45274e36i | −0.00648614 | − | 0.0112343i | ||||
\(426\) | −3.53473e37 | −0.264191 | ||||||||
\(427\) | 1.29155e37 | − | 2.26653e38i | 0.0933056 | − | 1.63741i | ||||
\(428\) | −1.87677e37 | −0.131062 | ||||||||
\(429\) | 2.94287e37 | + | 5.09720e37i | 0.198674 | + | 0.344113i | ||||
\(430\) | 1.49044e37 | − | 2.58151e37i | 0.0972795 | − | 0.168493i | ||||
\(431\) | −5.11713e36 | + | 8.86312e36i | −0.0322928 | + | 0.0559328i | −0.881720 | − | 0.471773i | \(-0.843614\pi\) |
0.849427 | + | 0.527706i | \(0.176948\pi\) | |||||||
\(432\) | 7.13448e36 | + | 1.23573e37i | 0.0435360 | + | 0.0754065i | ||||
\(433\) | −2.21088e38 | −1.30464 | −0.652320 | − | 0.757943i | \(-0.726204\pi\) | ||||
−0.652320 | + | 0.757943i | \(0.726204\pi\) | |||||||
\(434\) | −1.00072e38 | − | 6.56387e37i | −0.571100 | − | 0.374592i | ||||
\(435\) | 1.69104e38 | 0.933385 | ||||||||
\(436\) | −2.00943e37 | − | 3.48043e37i | −0.107280 | − | 0.185814i | ||||
\(437\) | 5.65283e37 | − | 9.79099e37i | 0.291934 | − | 0.505645i | ||||
\(438\) | 3.86919e36 | − | 6.70164e36i | 0.0193306 | − | 0.0334816i | ||||
\(439\) | 7.97066e37 | + | 1.38056e38i | 0.385264 | + | 0.667297i | 0.991806 | − | 0.127755i | \(-0.0407770\pi\) |
−0.606542 | + | 0.795052i | \(0.707444\pi\) | |||||||
\(440\) | −1.23975e38 | −0.579790 | ||||||||
\(441\) | 4.38388e37 | − | 5.91956e37i | 0.198381 | − | 0.267873i | ||||
\(442\) | −1.72036e38 | −0.753349 | ||||||||
\(443\) | −2.10638e38 | − | 3.64835e38i | −0.892651 | − | 1.54612i | −0.836685 | − | 0.547685i | \(-0.815509\pi\) |
−0.0559664 | − | 0.998433i | \(-0.517824\pi\) | |||||||
\(444\) | 3.75871e37 | − | 6.51027e37i | 0.154165 | − | 0.267021i | ||||
\(445\) | −1.93925e38 | + | 3.35887e38i | −0.769862 | + | 1.33344i | ||||
\(446\) | −1.07281e38 | − | 1.85816e38i | −0.412255 | − | 0.714047i | ||||
\(447\) | 1.22416e38 | 0.455386 | ||||||||
\(448\) | −2.37601e38 | − | 1.55846e38i | −0.855692 | − | 0.561260i | ||||
\(449\) | 1.00487e38 | 0.350381 | 0.175190 | − | 0.984535i | \(-0.443946\pi\) | ||||
0.175190 | + | 0.984535i | \(0.443946\pi\) | |||||||
\(450\) | −6.70425e35 | − | 1.16121e36i | −0.00226344 | − | 0.00392039i | ||||
\(451\) | 1.57698e38 | − | 2.73141e38i | 0.515545 | − | 0.892950i | ||||
\(452\) | 3.58973e37 | − | 6.21759e37i | 0.113646 | − | 0.196841i | ||||
\(453\) | 1.13932e38 | + | 1.97337e38i | 0.349320 | + | 0.605040i | ||||
\(454\) | 3.22242e38 | 0.956914 | ||||||||
\(455\) | 2.59250e37 | − | 4.54957e38i | 0.0745683 | − | 1.30859i | ||||
\(456\) | 3.61335e38 | 1.00675 | ||||||||
\(457\) | −2.69358e38 | − | 4.66542e38i | −0.727018 | − | 1.25923i | −0.958138 | − | 0.286306i | \(-0.907572\pi\) |
0.231120 | − | 0.972925i | \(-0.425761\pi\) | |||||||
\(458\) | 1.41346e38 | − | 2.44819e38i | 0.369602 | − | 0.640170i | ||||
\(459\) | −2.82644e37 | + | 4.89555e37i | −0.0716072 | + | 0.124027i | ||||
\(460\) | 2.93461e37 | + | 5.08290e37i | 0.0720381 | + | 0.124774i | ||||
\(461\) | 1.84846e38 | 0.439691 | 0.219845 | − | 0.975535i | \(-0.429445\pi\) | ||||
0.219845 | + | 0.975535i | \(0.429445\pi\) | |||||||
\(462\) | 9.22954e37 | − | 4.64977e37i | 0.212751 | − | 0.107182i | ||||
\(463\) | 3.10253e38 | 0.693093 | 0.346547 | − | 0.938033i | \(-0.387354\pi\) | ||||
0.346547 | + | 0.938033i | \(0.387354\pi\) | |||||||
\(464\) | 1.67459e38 | + | 2.90048e38i | 0.362576 | + | 0.628000i | ||||
\(465\) | −1.21639e38 | + | 2.10685e38i | −0.255273 | + | 0.442145i | ||||
\(466\) | −3.44628e37 | + | 5.96912e37i | −0.0701058 | + | 0.121427i | ||||
\(467\) | 5.18638e36 | + | 8.98307e36i | 0.0102275 | + | 0.0177145i | 0.871094 | − | 0.491117i | \(-0.163411\pi\) |
−0.860866 | + | 0.508831i | \(0.830078\pi\) | |||||||
\(468\) | 8.90556e37 | 0.170254 | ||||||||
\(469\) | 3.12092e38 | − | 1.57229e38i | 0.578464 | − | 0.291426i | ||||
\(470\) | −2.11793e38 | −0.380621 | ||||||||
\(471\) | 4.56563e37 | + | 7.90790e37i | 0.0795605 | + | 0.137803i | ||||
\(472\) | −2.95034e38 | + | 5.11014e38i | −0.498555 | + | 0.863523i | ||||
\(473\) | 4.00091e37 | − | 6.92978e37i | 0.0655650 | − | 0.113562i | ||||
\(474\) | −1.90619e38 | − | 3.30161e38i | −0.302956 | − | 0.524735i | ||||
\(475\) | −1.81695e37 | −0.0280083 | ||||||||
\(476\) | 1.11295e37 | − | 1.95311e38i | 0.0166409 | − | 0.292029i | ||||
\(477\) | 3.99712e37 | 0.0579737 | ||||||||
\(478\) | −2.11647e38 | − | 3.66584e38i | −0.297789 | − | 0.515785i | ||||
\(479\) | −3.74456e38 | + | 6.48577e38i | −0.511135 | + | 0.885312i | 0.488782 | + | 0.872406i | \(0.337442\pi\) |
−0.999917 | + | 0.0129059i | \(0.995892\pi\) | |||||||
\(480\) | −1.61119e38 | + | 2.79067e38i | −0.213378 | + | 0.369582i | ||||
\(481\) | 6.86980e38 | + | 1.18988e39i | 0.882755 | + | 1.52898i | ||||
\(482\) | −6.50634e38 | −0.811249 | ||||||||
\(483\) | −1.44993e38 | − | 9.51031e37i | −0.175435 | − | 0.115070i | ||||
\(484\) | 2.40848e38 | 0.282804 | ||||||||
\(485\) | 5.72871e38 | + | 9.92242e38i | 0.652832 | + | 1.13074i | ||||
\(486\) | −2.25925e37 | + | 3.91314e37i | −0.0249884 | + | 0.0432812i | ||||
\(487\) | 7.36102e38 | − | 1.27497e39i | 0.790256 | − | 1.36876i | −0.135552 | − | 0.990770i | \(-0.543281\pi\) |
0.925808 | − | 0.377994i | \(-0.123386\pi\) | |||||||
\(488\) | −8.54008e38 | − | 1.47919e39i | −0.889969 | − | 1.54147i | ||||
\(489\) | −2.60091e38 | −0.263116 | ||||||||
\(490\) | −7.94964e38 | − | 9.08949e37i | −0.780736 | − | 0.0892681i | ||||
\(491\) | 1.03963e39 | 0.991283 | 0.495641 | − | 0.868527i | \(-0.334933\pi\) | ||||
0.495641 | + | 0.868527i | \(0.334933\pi\) | |||||||
\(492\) | −2.38609e38 | − | 4.13282e38i | −0.220898 | − | 0.382607i | ||||
\(493\) | −6.63418e38 | + | 1.14907e39i | −0.596358 | + | 1.03292i | ||||
\(494\) | −9.31701e38 | + | 1.61375e39i | −0.813272 | + | 1.40863i | ||||
\(495\) | −1.05039e38 | − | 1.81934e38i | −0.0890383 | − | 0.154219i | ||||
\(496\) | −4.81822e38 | −0.396645 | ||||||||
\(497\) | 6.14288e38 | + | 4.02919e38i | 0.491139 | + | 0.322144i | ||||
\(498\) | −8.94868e38 | −0.694918 | ||||||||
\(499\) | 1.02026e39 | + | 1.76715e39i | 0.769581 | + | 1.33295i | 0.937790 | + | 0.347202i | \(0.112868\pi\) |
−0.168209 | + | 0.985751i | \(0.553798\pi\) | |||||||
\(500\) | −2.65835e38 | + | 4.60440e38i | −0.194781 | + | 0.337371i | ||||
\(501\) | −5.47998e38 | + | 9.49161e38i | −0.390061 | + | 0.675605i | ||||
\(502\) | 5.71070e38 | + | 9.89122e38i | 0.394898 | + | 0.683984i | ||||
\(503\) | −2.37381e38 | −0.159481 | −0.0797406 | − | 0.996816i | \(-0.525409\pi\) | ||||
−0.0797406 | + | 0.996816i | \(0.525409\pi\) | |||||||
\(504\) | 3.15290e37 | − | 5.53299e38i | 0.0205810 | − | 0.361175i | ||||
\(505\) | 2.09342e39 | 1.32780 | ||||||||
\(506\) | −1.21640e38 | − | 2.10687e38i | −0.0749712 | − | 0.129854i | ||||
\(507\) | −3.31860e38 | + | 5.74799e38i | −0.198765 | + | 0.344271i | ||||
\(508\) | 2.86875e38 | − | 4.96883e38i | 0.166982 | − | 0.289221i | ||||
\(509\) | −1.16863e38 | − | 2.02413e38i | −0.0661103 | − | 0.114506i | 0.831076 | − | 0.556159i | \(-0.187726\pi\) |
−0.897186 | + | 0.441653i | \(0.854392\pi\) | |||||||
\(510\) | 6.14045e38 | 0.337623 | ||||||||
\(511\) | −1.43632e38 | + | 7.23609e37i | −0.0767625 | + | 0.0386724i | ||||
\(512\) | −1.58339e39 | −0.822573 | ||||||||
\(513\) | 3.06145e38 | + | 5.30259e38i | 0.154606 | + | 0.267785i | ||||
\(514\) | 3.63664e38 | − | 6.29885e38i | 0.178540 | − | 0.309240i | ||||
\(515\) | −1.76128e39 | + | 3.05062e39i | −0.840665 | + | 1.45607i | ||||
\(516\) | −6.05367e37 | − | 1.04853e38i | −0.0280930 | − | 0.0486585i | ||||
\(517\) | −5.68533e38 | −0.256533 | ||||||||
\(518\) | 2.15453e39 | − | 1.08543e39i | 0.945303 | − | 0.476236i | ||||
\(519\) | 6.70143e38 | 0.285918 | ||||||||
\(520\) | −1.71423e39 | − | 2.96914e39i | −0.711248 | − | 1.23192i | ||||
\(521\) | −1.10712e39 | + | 1.91758e39i | −0.446731 | + | 0.773762i | −0.998171 | − | 0.0604532i | \(-0.980745\pi\) |
0.551440 | + | 0.834215i | \(0.314079\pi\) | |||||||
\(522\) | −5.30288e38 | + | 9.18486e38i | −0.208108 | + | 0.360454i | ||||
\(523\) | 1.21899e39 | + | 2.11135e39i | 0.465291 | + | 0.805908i | 0.999215 | − | 0.0396246i | \(-0.0126162\pi\) |
−0.533923 | + | 0.845533i | \(0.679283\pi\) | |||||||
\(524\) | −7.53140e38 | −0.279623 | ||||||||
\(525\) | −1.58541e36 | + | 2.78223e37i | −0.000572576 | + | 0.0100481i | ||||
\(526\) | −1.78317e39 | −0.626468 | ||||||||
\(527\) | −9.54409e38 | − | 1.65309e39i | −0.326198 | − | 0.564991i | ||||
\(528\) | 2.08035e38 | − | 3.60327e38i | 0.0691743 | − | 0.119813i | ||||
\(529\) | 1.34143e39 | − | 2.32343e39i | 0.433972 | − | 0.751662i | ||||
\(530\) | −2.17093e38 | − | 3.76017e38i | −0.0683355 | − | 0.118361i | ||||
\(531\) | −9.99885e38 | −0.306252 | ||||||||
\(532\) | −1.77181e39 | − | 1.16215e39i | −0.528078 | − | 0.346373i | ||||
\(533\) | 8.72211e39 | 2.52975 | ||||||||
\(534\) | −1.21624e39 | − | 2.10659e39i | −0.343298 | − | 0.594610i | ||||
\(535\) | −6.12162e38 | + | 1.06030e39i | −0.168165 | + | 0.291271i | ||||
\(536\) | 1.31460e39 | − | 2.27695e39i | 0.351483 | − | 0.608786i | ||||
\(537\) | −1.44759e39 | − | 2.50730e39i | −0.376719 | − | 0.652497i | ||||
\(538\) | 8.73820e38 | 0.221350 | ||||||||
\(539\) | −2.13399e39 | − | 2.43997e38i | −0.526205 | − | 0.0601654i | ||||
\(540\) | −3.17865e38 | −0.0763014 | ||||||||
\(541\) | −1.89667e39 | − | 3.28513e39i | −0.443233 | − | 0.767701i | 0.554695 | − | 0.832054i | \(-0.312835\pi\) |
−0.997927 | + | 0.0643526i | \(0.979502\pi\) | |||||||
\(542\) | 1.08469e38 | − | 1.87874e38i | 0.0246784 | − | 0.0427442i | ||||
\(543\) | −5.55749e38 | + | 9.62586e38i | −0.123107 | + | 0.213227i | ||||
\(544\) | −1.26418e39 | − | 2.18963e39i | −0.272663 | − | 0.472266i | ||||
\(545\) | −2.62173e39 | −0.550604 | ||||||||
\(546\) | 2.38979e39 | + | 1.56749e39i | 0.488726 | + | 0.320562i | ||||
\(547\) | −4.59814e39 | −0.915726 | −0.457863 | − | 0.889023i | \(-0.651385\pi\) | ||||
−0.457863 | + | 0.889023i | \(0.651385\pi\) | |||||||
\(548\) | −3.52231e37 | − | 6.10081e37i | −0.00683139 | − | 0.0118323i | ||||
\(549\) | 1.44714e39 | − | 2.50652e39i | 0.273345 | − | 0.473447i | ||||
\(550\) | −1.95490e37 | + | 3.38598e37i | −0.00359638 | + | 0.00622911i | ||||
\(551\) | 7.18579e39 | + | 1.24462e40i | 1.28759 | + | 2.23017i | ||||
\(552\) | −1.30460e39 | −0.227698 | ||||||||
\(553\) | −4.50773e38 | + | 7.91058e39i | −0.0766378 | + | 1.34491i | ||||
\(554\) | 5.43917e39 | 0.900827 | ||||||||
\(555\) | −2.45202e39 | − | 4.24703e39i | −0.395618 | − | 0.685231i | ||||
\(556\) | 1.80489e39 | − | 3.12617e39i | 0.283705 | − | 0.491392i | ||||
\(557\) | 1.92959e39 | − | 3.34215e39i | 0.295505 | − | 0.511830i | −0.679597 | − | 0.733586i | \(-0.737845\pi\) |
0.975102 | + | 0.221756i | \(0.0711787\pi\) | |||||||
\(558\) | −7.62885e38 | − | 1.32135e39i | −0.113832 | − | 0.197162i | ||||
\(559\) | 2.21286e39 | 0.321723 | ||||||||
\(560\) | −2.87689e39 | + | 1.44936e39i | −0.407566 | + | 0.205328i | ||||
\(561\) | 1.64833e39 | 0.227553 | ||||||||
\(562\) | −2.54397e38 | − | 4.40628e38i | −0.0342243 | − | 0.0592783i | ||||
\(563\) | −3.83175e39 | + | 6.63678e39i | −0.502372 | + | 0.870133i | 0.497625 | + | 0.867392i | \(0.334206\pi\) |
−0.999996 | + | 0.00274065i | \(0.999128\pi\) | |||||||
\(564\) | −4.30116e38 | + | 7.44983e38i | −0.0549590 | + | 0.0951918i | ||||
\(565\) | −2.34179e39 | − | 4.05610e39i | −0.291639 | − | 0.505133i | ||||
\(566\) | 8.19086e39 | 0.994240 | ||||||||
\(567\) | 8.38681e38 | − | 4.22521e38i | 0.0992298 | − | 0.0499912i | ||||
\(568\) | 5.52713e39 | 0.637454 | ||||||||
\(569\) | −1.42318e39 | − | 2.46502e39i | −0.160005 | − | 0.277136i | 0.774866 | − | 0.632126i | \(-0.217818\pi\) |
−0.934870 | + | 0.354990i | \(0.884484\pi\) | |||||||
\(570\) | 3.32550e39 | − | 5.75994e39i | 0.364478 | − | 0.631295i | ||||
\(571\) | 7.76677e39 | − | 1.34524e40i | 0.829883 | − | 1.43740i | −0.0682473 | − | 0.997668i | \(-0.521741\pi\) |
0.898130 | − | 0.439730i | \(-0.144926\pi\) | |||||||
\(572\) | −1.29839e39 | − | 2.24888e39i | −0.135258 | − | 0.234274i | ||||
\(573\) | −1.41222e39 | −0.143437 | ||||||||
\(574\) | 8.71287e38 | − | 1.52901e40i | 0.0862856 | − | 1.51422i | ||||
\(575\) | 6.56008e37 | 0.00633469 | ||||||||
\(576\) | −1.81132e39 | − | 3.13729e39i | −0.170556 | − | 0.295412i | ||||
\(577\) | −6.70616e39 | + | 1.16154e40i | −0.615778 | + | 1.06656i | 0.374469 | + | 0.927239i | \(0.377825\pi\) |
−0.990247 | + | 0.139320i | \(0.955508\pi\) | |||||||
\(578\) | 1.94109e39 | − | 3.36206e39i | 0.173817 | − | 0.301059i | ||||
\(579\) | −2.33577e39 | − | 4.04567e39i | −0.203981 | − | 0.353306i | ||||
\(580\) | −7.46086e39 | −0.635453 | ||||||||
\(581\) | 1.55516e40 | + | 1.02005e40i | 1.29187 | + | 0.847357i | ||||
\(582\) | −7.18578e39 | −0.582224 | ||||||||
\(583\) | −5.82762e38 | − | 1.00937e39i | −0.0460572 | − | 0.0797733i | ||||
\(584\) | −6.05011e38 | + | 1.04791e39i | −0.0466420 | + | 0.0807863i | ||||
\(585\) | 2.90481e39 | − | 5.03128e39i | 0.218453 | − | 0.378371i | ||||
\(586\) | 2.00184e39 | + | 3.46729e39i | 0.146863 | + | 0.254375i | ||||
\(587\) | 2.56735e40 | 1.83752 | 0.918762 | − | 0.394812i | \(-0.129190\pi\) | ||||
0.918762 | + | 0.394812i | \(0.129190\pi\) | |||||||
\(588\) | −1.93416e39 | + | 2.61170e39i | −0.135059 | + | 0.182369i | ||||
\(589\) | −2.06753e40 | −1.40858 | ||||||||
\(590\) | 5.43062e39 | + | 9.40611e39i | 0.360990 | + | 0.625253i | ||||
\(591\) | 1.62157e39 | − | 2.80864e39i | 0.105176 | − | 0.182170i | ||||
\(592\) | 4.85634e39 | − | 8.41143e39i | 0.307358 | − | 0.532359i | ||||
\(593\) | −1.50168e39 | − | 2.60099e39i | −0.0927438 | − | 0.160637i | 0.815921 | − | 0.578163i | \(-0.196230\pi\) |
−0.908665 | + | 0.417527i | \(0.862897\pi\) | |||||||
\(594\) | 1.31755e39 | 0.0794082 | ||||||||
\(595\) | −1.06713e40 | − | 6.99941e39i | −0.627653 | − | 0.411686i | ||||
\(596\) | −5.40098e39 | −0.310029 | ||||||||
\(597\) | 7.15369e39 | + | 1.23905e40i | 0.400776 | + | 0.694165i | ||||
\(598\) | 3.36390e39 | − | 5.82644e39i | 0.183940 | − | 0.318593i | ||||
\(599\) | −1.64881e40 | + | 2.85581e40i | −0.879996 | + | 1.52420i | −0.0286515 | + | 0.999589i | \(0.509121\pi\) |
−0.851344 | + | 0.524608i | \(0.824212\pi\) | |||||||
\(600\) | 1.04832e38 | + | 1.81574e38i | 0.00546135 | + | 0.00945934i | ||||
\(601\) | 1.99492e40 | 1.01449 | 0.507243 | − | 0.861803i | \(-0.330665\pi\) | ||||
0.507243 | + | 0.861803i | \(0.330665\pi\) | |||||||
\(602\) | 2.21051e38 | − | 3.87921e39i | 0.0109735 | − | 0.192573i | ||||
\(603\) | 4.45524e39 | 0.215909 | ||||||||
\(604\) | −5.02668e39 | − | 8.70647e39i | −0.237819 | − | 0.411914i | ||||
\(605\) | 7.85597e39 | − | 1.36069e40i | 0.362866 | − | 0.628503i | ||||
\(606\) | −6.56467e39 | + | 1.13703e40i | −0.296047 | + | 0.512768i | ||||
\(607\) | 9.18335e39 | + | 1.59060e40i | 0.404357 | + | 0.700367i | 0.994246 | − | 0.107117i | \(-0.0341620\pi\) |
−0.589889 | + | 0.807484i | \(0.700829\pi\) | |||||||
\(608\) | −2.73859e40 | −1.17740 | ||||||||
\(609\) | 1.96854e40 | − | 9.91734e39i | 0.826405 | − | 0.416336i | ||||
\(610\) | −3.14390e40 | −1.28880 | ||||||||
\(611\) | −7.86124e39 | − | 1.36161e40i | −0.314698 | − | 0.545072i | ||||
\(612\) | 1.24702e39 | − | 2.15991e39i | 0.0487505 | − | 0.0844383i | ||||
\(613\) | 2.95385e38 | − | 5.11623e38i | 0.0112775 | − | 0.0195332i | −0.860332 | − | 0.509735i | \(-0.829744\pi\) |
0.871609 | + | 0.490202i | \(0.163077\pi\) | |||||||
\(614\) | 6.53794e38 | + | 1.13240e39i | 0.0243781 | + | 0.0422241i | ||||
\(615\) | −3.11317e40 | −1.13374 | ||||||||
\(616\) | −1.44319e40 | + | 7.27067e39i | −0.513337 | + | 0.258615i | ||||
\(617\) | 1.59945e39 | 0.0555692 | 0.0277846 | − | 0.999614i | \(-0.491155\pi\) | ||||
0.0277846 | + | 0.999614i | \(0.491155\pi\) | |||||||
\(618\) | −1.10462e40 | − | 1.91326e40i | −0.374871 | − | 0.649295i | ||||
\(619\) | −8.29268e39 | + | 1.43633e40i | −0.274904 | + | 0.476147i | −0.970111 | − | 0.242662i | \(-0.921979\pi\) |
0.695207 | + | 0.718810i | \(0.255313\pi\) | |||||||
\(620\) | 5.36669e39 | − | 9.29538e39i | 0.173791 | − | 0.301015i | ||||
\(621\) | −1.10533e39 | − | 1.91450e39i | −0.0349676 | − | 0.0605656i | ||||
\(622\) | −1.41822e40 | −0.438311 | ||||||||
\(623\) | −2.87615e39 | + | 5.04734e40i | −0.0868431 | + | 1.52400i | ||||
\(624\) | 1.15062e40 | 0.339434 | ||||||||
\(625\) | 1.76444e40 | + | 3.05609e40i | 0.508564 | + | 0.880859i | ||||
\(626\) | −9.17867e38 | + | 1.58979e39i | −0.0258495 | + | 0.0447726i | ||||
\(627\) | 8.92692e39 | − | 1.54619e40i | 0.245653 | − | 0.425484i | ||||
\(628\) | −2.01435e39 | − | 3.48896e39i | −0.0541651 | − | 0.0938168i | ||||
\(629\) | 3.84784e40 | 1.01107 | ||||||||
\(630\) | −8.52982e39 | − | 5.59482e39i | −0.219029 | − | 0.143664i | ||||
\(631\) | −5.76460e40 | −1.44658 | −0.723292 | − | 0.690542i | \(-0.757372\pi\) | ||||
−0.723292 | + | 0.690542i | \(0.757372\pi\) | |||||||
\(632\) | 2.98063e40 | + | 5.16260e40i | 0.730988 | + | 1.26611i | ||||
\(633\) | −1.36077e40 | + | 2.35691e40i | −0.326159 | + | 0.564924i | ||||
\(634\) | −2.58044e40 | + | 4.46945e40i | −0.604503 | + | 1.04703i | ||||
\(635\) | −1.87146e40 | − | 3.24146e40i | −0.428509 | − | 0.742200i | ||||
\(636\) | −1.76352e39 | −0.0394687 | ||||||||
\(637\) | −2.36636e40 | − | 5.44817e40i | −0.517676 | − | 1.19187i | ||||
\(638\) | 3.09254e40 | 0.661326 | ||||||||
\(639\) | 4.68293e39 | + | 8.11107e39i | 0.0978937 | + | 0.169557i | ||||
\(640\) | −1.59033e39 | + | 2.75454e39i | −0.0324997 | + | 0.0562911i | ||||
\(641\) | −3.15195e40 | + | 5.45935e40i | −0.629707 | + | 1.09068i | 0.357903 | + | 0.933759i | \(0.383492\pi\) |
−0.987610 | + | 0.156926i | \(0.949842\pi\) | |||||||
\(642\) | −3.83931e39 | − | 6.64988e39i | −0.0749886 | − | 0.129884i | ||||
\(643\) | 7.08503e40 | 1.35295 | 0.676477 | − | 0.736464i | \(-0.263506\pi\) | ||||
0.676477 | + | 0.736464i | \(0.263506\pi\) | |||||||
\(644\) | 6.39709e39 | + | 4.19594e39i | 0.119437 | + | 0.0783400i | ||||
\(645\) | −7.89832e39 | −0.144185 | ||||||||
\(646\) | 2.60927e40 | + | 4.51940e40i | 0.465745 | + | 0.806694i | ||||
\(647\) | 2.13363e40 | − | 3.69555e40i | 0.372397 | − | 0.645010i | −0.617537 | − | 0.786542i | \(-0.711869\pi\) |
0.989934 | + | 0.141532i | \(0.0452027\pi\) | |||||||
\(648\) | 3.53271e39 | − | 6.11883e39i | 0.0602934 | − | 0.104431i | ||||
\(649\) | 1.45779e40 | + | 2.52496e40i | 0.243302 | + | 0.421412i | ||||
\(650\) | −1.08123e39 | −0.0176472 | ||||||||
\(651\) | −1.80406e39 | + | 3.16594e40i | −0.0287957 | + | 0.505333i | ||||
\(652\) | 1.14752e40 | 0.179130 | ||||||||
\(653\) | 3.02259e40 | + | 5.23529e40i | 0.461465 | + | 0.799281i | 0.999034 | − | 0.0439388i | \(-0.0139907\pi\) |
−0.537569 | + | 0.843220i | \(0.680657\pi\) | |||||||
\(654\) | 8.22139e39 | − | 1.42399e40i | 0.122763 | − | 0.212632i | ||||
\(655\) | −2.45659e40 | + | 4.25493e40i | −0.358784 | + | 0.621432i | ||||
\(656\) | −3.08288e40 | − | 5.33971e40i | −0.440404 | − | 0.762802i | ||||
\(657\) | −2.05041e39 | −0.0286512 | ||||||||
\(658\) | −2.46547e40 | + | 1.24208e40i | −0.336996 | + | 0.169776i | ||||
\(659\) | −4.28596e38 | −0.00573072 | −0.00286536 | − | 0.999996i | \(-0.500912\pi\) | ||||
−0.00286536 | + | 0.999996i | \(0.500912\pi\) | |||||||
\(660\) | 4.63432e39 | + | 8.02688e39i | 0.0606177 | + | 0.104993i | ||||
\(661\) | 6.22844e40 | − | 1.07880e41i | 0.796999 | − | 1.38044i | −0.124562 | − | 0.992212i | \(-0.539753\pi\) |
0.921562 | − | 0.388232i | \(-0.126914\pi\) | |||||||
\(662\) | 1.23788e40 | − | 2.14408e40i | 0.154967 | − | 0.268411i | ||||
\(663\) | 2.27919e40 | + | 3.94767e40i | 0.279148 | + | 0.483498i | ||||
\(664\) | 1.39927e41 | 1.67674 | ||||||||
\(665\) | −1.23449e41 | + | 6.21929e40i | −1.44736 | + | 0.729167i | ||||
\(666\) | 3.07568e40 | 0.352829 | ||||||||
\(667\) | −2.59442e40 | − | 4.49367e40i | −0.291217 | − | 0.504402i | ||||
\(668\) | 2.41776e40 | − | 4.18769e40i | 0.265555 | − | 0.459955i | ||||
\(669\) | −2.84258e40 | + | 4.92349e40i | −0.305516 | + | 0.529169i | ||||
\(670\) | −2.41975e40 | − | 4.19113e40i | −0.254499 | − | 0.440805i | ||||
\(671\) | −8.43945e40 | −0.868635 | ||||||||
\(672\) | −2.38961e39 | + | 4.19351e40i | −0.0240698 | + | 0.422399i | ||||
\(673\) | 9.88507e40 | 0.974454 | 0.487227 | − | 0.873275i | \(-0.338008\pi\) | ||||
0.487227 | + | 0.873275i | \(0.338008\pi\) | |||||||
\(674\) | −5.68044e40 | − | 9.83881e40i | −0.548041 | − | 0.949235i | ||||
\(675\) | −1.77640e38 | + | 3.07682e38i | −0.00167740 | + | 0.00290534i | ||||
\(676\) | 1.46416e40 | − | 2.53601e40i | 0.135320 | − | 0.234381i | ||||
\(677\) | 1.74012e40 | + | 3.01398e40i | 0.157414 | + | 0.272649i | 0.933935 | − | 0.357442i | \(-0.116351\pi\) |
−0.776521 | + | 0.630091i | \(0.783018\pi\) | |||||||
\(678\) | 2.93741e40 | 0.260096 | ||||||||
\(679\) | 1.24879e41 | + | 8.19097e40i | 1.08237 | + | 0.709943i | ||||
\(680\) | −9.60158e40 | −0.814636 | ||||||||
\(681\) | −4.26917e40 | − | 7.39442e40i | −0.354577 | − | 0.614145i | ||||
\(682\) | −2.22450e40 | + | 3.85295e40i | −0.180867 | + | 0.313271i | ||||
\(683\) | 1.16367e41 | − | 2.01554e41i | 0.926257 | − | 1.60432i | 0.136730 | − | 0.990608i | \(-0.456341\pi\) |
0.789527 | − | 0.613716i | \(-0.210326\pi\) | |||||||
\(684\) | −1.35071e40 | − | 2.33950e40i | −0.105256 | − | 0.182309i | ||||
\(685\) | −4.59561e39 | −0.0350615 | ||||||||
\(686\) | −9.78720e40 | + | 3.60406e40i | −0.731070 | + | 0.269211i | ||||
\(687\) | −7.49040e40 | −0.547813 | ||||||||
\(688\) | −7.82148e39 | − | 1.35472e40i | −0.0560089 | − | 0.0970102i | ||||
\(689\) | 1.61160e40 | − | 2.79137e40i | 0.113000 | − | 0.195722i | ||||
\(690\) | −1.20067e40 | + | 2.07962e40i | −0.0824350 | + | 0.142782i | ||||
\(691\) | −1.03685e40 | − | 1.79587e40i | −0.0697081 | − | 0.120738i | 0.829065 | − | 0.559153i | \(-0.188873\pi\) |
−0.898773 | + | 0.438415i | \(0.855540\pi\) | |||||||
\(692\) | −2.95666e40 | −0.194654 | ||||||||
\(693\) | −2.28973e40 | − | 1.50186e40i | −0.147622 | − | 0.0968275i | ||||
\(694\) | 1.92332e40 | 0.121434 | ||||||||
\(695\) | −1.17744e41 | − | 2.03938e41i | −0.728045 | − | 1.26101i | ||||
\(696\) | 8.29191e40 | − | 1.43620e41i | 0.502135 | − | 0.869724i | ||||
\(697\) | 1.22134e41 | − | 2.11541e41i | 0.724369 | − | 1.25464i | ||||
\(698\) | −8.28467e40 | − | 1.43495e41i | −0.481251 | − | 0.833551i | ||||
\(699\) | 1.82629e40 | 0.103909 | ||||||||
\(700\) | 6.99483e37 | − | 1.22752e39i | 0.000389812 | − | 0.00684079i | ||||
\(701\) | −1.62292e41 | −0.885904 | −0.442952 | − | 0.896545i | \(-0.646069\pi\) | ||||
−0.442952 | + | 0.896545i | \(0.646069\pi\) | |||||||
\(702\) | 1.82181e40 | + | 3.15548e40i | 0.0974128 | + | 0.168724i | ||||
\(703\) | 2.08389e41 | − | 3.60940e41i | 1.09150 | − | 1.89053i | ||||
\(704\) | −5.28163e40 | + | 9.14806e40i | −0.270997 | + | 0.469381i | ||||
\(705\) | 2.80590e40 | + | 4.85996e40i | 0.141036 | + | 0.244281i | ||||
\(706\) | −1.93800e41 | −0.954300 | ||||||||
\(707\) | 2.43694e41 | − | 1.22771e41i | 1.17561 | − | 0.592263i | ||||
\(708\) | 4.41148e40 | 0.208498 | ||||||||
\(709\) | 4.46824e40 | + | 7.73922e40i | 0.206903 | + | 0.358366i | 0.950737 | − | 0.309998i | \(-0.100328\pi\) |
−0.743835 | + | 0.668364i | \(0.766995\pi\) | |||||||
\(710\) | 5.08683e40 | − | 8.81064e40i | 0.230781 | − | 0.399725i | ||||
\(711\) | −5.05075e40 | + | 8.74815e40i | −0.224516 | + | 0.388872i | ||||
\(712\) | 1.90179e41 | + | 3.29400e41i | 0.828328 | + | 1.43471i | ||||
\(713\) | 7.46480e40 | 0.318581 | ||||||||
\(714\) | 7.14806e40 | − | 3.60114e40i | 0.298926 | − | 0.150597i | ||||
\(715\) | −1.69403e41 | −0.694199 | ||||||||
\(716\) | 6.38674e40 | + | 1.10622e41i | 0.256472 | + | 0.444223i | ||||
\(717\) | −5.60794e40 | + | 9.71324e40i | −0.220687 | + | 0.382240i | ||||
\(718\) | −1.78478e41 | + | 3.09133e41i | −0.688303 | + | 1.19218i | ||||
\(719\) | −1.17389e41 | − | 2.03323e41i | −0.443667 | − | 0.768453i | 0.554292 | − | 0.832323i | \(-0.312989\pi\) |
−0.997958 | + | 0.0638694i | \(0.979656\pi\) | |||||||
\(720\) | −4.10689e40 | −0.152122 | ||||||||
\(721\) | −2.61220e40 | + | 4.58414e41i | −0.0948300 | + | 1.66416i | ||||
\(722\) | 3.46287e41 | 1.23210 | ||||||||
\(723\) | 8.61980e40 | + | 1.49299e41i | 0.300602 | + | 0.520658i | ||||
\(724\) | 2.45196e40 | − | 4.24692e40i | 0.0838115 | − | 0.145166i | ||||
\(725\) | −4.16954e39 | + | 7.22185e39i | −0.0139697 | + | 0.0241962i | ||||
\(726\) | 4.92704e40 | + | 8.53389e40i | 0.161810 | + | 0.280263i | ||||
\(727\) | −9.07994e40 | −0.292303 | −0.146152 | − | 0.989262i | \(-0.546689\pi\) | ||||
−0.146152 | + | 0.989262i | \(0.546689\pi\) | |||||||
\(728\) | −3.73682e41 | − | 2.45103e41i | −1.17923 | − | 0.773469i | ||||
\(729\) | 1.19725e40 | 0.0370370 | ||||||||
\(730\) | 1.11363e40 | + | 1.92886e40i | 0.0337722 | + | 0.0584951i | ||||
\(731\) | 3.09861e40 | − | 5.36695e40i | 0.0921224 | − | 0.159561i | ||||
\(732\) | −6.38475e40 | + | 1.10587e41i | −0.186094 | + | 0.322325i | ||||
\(733\) | −2.15240e41 | − | 3.72806e41i | −0.615057 | − | 1.06531i | −0.990375 | − | 0.138413i | \(-0.955800\pi\) |
0.375318 | − | 0.926896i | \(-0.377533\pi\) | |||||||
\(734\) | 1.04055e41 | 0.291520 | ||||||||
\(735\) | 8.44619e40 | + | 1.94460e41i | 0.232003 | + | 0.534152i | ||||
\(736\) | 9.88766e40 | 0.266296 | ||||||||
\(737\) | −6.49554e40 | − | 1.12506e41i | −0.171529 | − | 0.297096i | ||||
\(738\) | 9.76246e40 | − | 1.69091e41i | 0.252779 | − | 0.437827i | ||||
\(739\) | 4.17264e40 | − | 7.22723e40i | 0.105942 | − | 0.183496i | −0.808181 | − | 0.588934i | \(-0.799548\pi\) |
0.914123 | + | 0.405438i | \(0.132881\pi\) | |||||||
\(740\) | 1.08183e41 | + | 1.87378e41i | 0.269339 | + | 0.466508i | ||||
\(741\) | 4.93739e41 | 1.20541 | ||||||||
\(742\) | −4.73237e40 | − | 3.10402e40i | −0.113298 | − | 0.0743136i | ||||
\(743\) | −1.37770e41 | −0.323458 | −0.161729 | − | 0.986835i | \(-0.551707\pi\) | ||||
−0.161729 | + | 0.986835i | \(0.551707\pi\) | |||||||
\(744\) | 1.19289e41 | + | 2.06615e41i | 0.274659 | + | 0.475724i | ||||
\(745\) | −1.76169e41 | + | 3.05133e41i | −0.397798 | + | 0.689007i | ||||
\(746\) | 2.05404e41 | − | 3.55770e41i | 0.454879 | − | 0.787873i | ||||
\(747\) | 1.18555e41 | + | 2.05343e41i | 0.257496 | + | 0.445996i | ||||
\(748\) | −7.27241e40 | −0.154919 | ||||||||
\(749\) | −9.07916e39 | + | 1.59330e41i | −0.0189697 | + | 0.332897i | ||||
\(750\) | −2.17528e41 | −0.445786 | ||||||||
\(751\) | −2.26445e41 | − | 3.92214e41i | −0.455180 | − | 0.788396i | 0.543518 | − | 0.839397i | \(-0.317092\pi\) |
−0.998699 | + | 0.0510018i | \(0.983759\pi\) | |||||||
\(752\) | −5.55720e40 | + | 9.62536e40i | −0.109572 | + | 0.189783i | ||||
\(753\) | 1.51314e41 | − | 2.62084e41i | 0.292653 | − | 0.506889i | ||||
\(754\) | 4.27613e41 | + | 7.40648e41i | 0.811272 | + | 1.40516i | ||||
\(755\) | −6.55840e41 | −1.22058 | ||||||||
\(756\) | −3.70025e40 | + | 1.86416e40i | −0.0675561 | + | 0.0340342i | ||||
\(757\) | 4.71197e40 | 0.0843941 | 0.0421970 | − | 0.999109i | \(-0.486564\pi\) | ||||
0.0421970 | + | 0.999109i | \(0.486564\pi\) | |||||||
\(758\) | 2.47495e41 | + | 4.28673e41i | 0.434873 | + | 0.753222i | ||||
\(759\) | −3.22306e40 | + | 5.58250e40i | −0.0555600 | + | 0.0962327i | ||||
\(760\) | −5.19996e41 | + | 9.00660e41i | −0.879434 | + | 1.52322i | ||||
\(761\) | −1.22144e41 | − | 2.11560e41i | −0.202673 | − | 0.351040i | 0.746716 | − | 0.665143i | \(-0.231630\pi\) |
−0.949389 | + | 0.314103i | \(0.898296\pi\) | |||||||
\(762\) | 2.34745e41 | 0.382163 | ||||||||
\(763\) | −3.05195e41 | + | 1.53755e41i | −0.487496 | + | 0.245597i | ||||
\(764\) | 6.23070e40 | 0.0976525 | ||||||||
\(765\) | −8.13506e40 | − | 1.40903e41i | −0.125104 | − | 0.216686i | ||||
\(766\) | −1.54984e41 | + | 2.68440e41i | −0.233867 | + | 0.405070i | ||||
\(767\) | −4.03143e41 | + | 6.98265e41i | −0.596935 | + | 1.03392i | ||||
\(768\) | 1.93339e41 | + | 3.34874e41i | 0.280920 | + | 0.486568i | ||||
\(769\) | 7.26557e40 | 0.103595 | 0.0517974 | − | 0.998658i | \(-0.483505\pi\) | ||||
0.0517974 | + | 0.998658i | \(0.483505\pi\) | |||||||
\(770\) | −1.69224e40 | + | 2.96969e41i | −0.0236780 | + | 0.415524i | ||||
\(771\) | −1.92717e41 | −0.264626 | ||||||||
\(772\) | 1.03054e41 | + | 1.78494e41i | 0.138871 | + | 0.240532i | ||||
\(773\) | −6.74869e41 | + | 1.16891e42i | −0.892517 | + | 1.54589i | −0.0556697 | + | 0.998449i | \(0.517729\pi\) |
−0.836848 | + | 0.547436i | \(0.815604\pi\) | |||||||
\(774\) | 2.47680e40 | − | 4.28995e40i | 0.0321475 | − | 0.0556811i | ||||
\(775\) | −5.99840e39 | − | 1.03895e40i | −0.00764118 | − | 0.0132349i | ||||
\(776\) | 1.12361e42 | 1.40482 | ||||||||
\(777\) | −5.34511e41 | − | 3.50593e41i | −0.655921 | − | 0.430227i | ||||
\(778\) | 7.16188e41 | 0.862627 | ||||||||
\(779\) | −1.32289e42 | − | 2.29130e42i | −1.56397 | − | 2.70888i | ||||
\(780\) | −1.28160e41 | + | 2.21979e41i | −0.148724 | + | 0.257597i | ||||
\(781\) | 1.36550e41 | − | 2.36511e41i | 0.155543 | − | 0.269409i | ||||
\(782\) | −9.42075e40 | − | 1.63172e41i | −0.105339 | − | 0.182452i | ||||
\(783\) | 2.81017e41 | 0.308451 | ||||||||
\(784\) | −2.49899e41 | + | 3.37438e41i | −0.269266 | + | 0.363589i | ||||
\(785\) | −2.62815e41 | −0.277997 | ||||||||
\(786\) | −1.54070e41 | − | 2.66857e41i | −0.159990 | − | 0.277110i | ||||
\(787\) | −5.80733e40 | + | 1.00586e41i | −0.0592029 | + | 0.102542i | −0.894108 | − | 0.447852i | \(-0.852189\pi\) |
0.834905 | + | 0.550394i | \(0.185523\pi\) | |||||||
\(788\) | −7.15434e40 | + | 1.23917e41i | −0.0716043 | + | 0.124022i | ||||
\(789\) | 2.36240e41 | + | 4.09179e41i | 0.232133 | + | 0.402066i | ||||
\(790\) | 1.09727e42 | 1.05858 | ||||||||
\(791\) | −5.10481e41 | − | 3.34831e41i | −0.483527 | − | 0.317152i | ||||
\(792\) | −2.06021e41 | −0.191600 | ||||||||
\(793\) | −1.16694e42 | − | 2.02120e42i | −1.06559 | − | 1.84565i | ||||
\(794\) | 4.33281e41 | − | 7.50464e41i | 0.388483 | − | 0.672872i | ||||
\(795\) | −5.75225e40 | + | 9.96318e40i | −0.0506424 | + | 0.0877152i | ||||
\(796\) | −3.15620e41 | − | 5.46669e41i | −0.272850 | − | 0.472591i | ||||
\(797\) | 2.24694e42 | 1.90742 | 0.953710 | − | 0.300727i | \(-0.0972292\pi\) | ||||
0.953710 | + | 0.300727i | \(0.0972292\pi\) | |||||||
\(798\) | 4.93215e40 | − | 8.65540e41i | 0.0411145 | − | 0.721515i | ||||
\(799\) | −4.40316e41 | −0.360443 | ||||||||
\(800\) | −7.94531e39 | − | 1.37617e40i | −0.00638713 | − | 0.0110628i | ||||
\(801\) | −3.22263e41 | + | 5.58176e41i | −0.254413 | + | 0.440656i | ||||
\(802\) | −6.67461e41 | + | 1.15608e42i | −0.517485 | + | 0.896310i | ||||
\(803\) | 2.98941e40 | + | 5.17781e40i | 0.0227620 | + | 0.0394249i | ||||
\(804\) | −1.96565e41 | −0.146992 | ||||||||
\(805\) | 4.45713e41 | − | 2.24547e41i | 0.327352 | − | 0.164917i | ||||
\(806\) | −1.23035e42 | −0.887504 | ||||||||
\(807\) | −1.15766e41 | − | 2.00513e41i | −0.0820194 | − | 0.142062i | ||||
\(808\) | 1.02649e42 | − | 1.77794e42i | 0.714318 | − | 1.23723i | ||||
\(809\) | −4.94185e41 | + | 8.55954e41i | −0.337782 | + | 0.585055i | −0.984015 | − | 0.178085i | \(-0.943010\pi\) |
0.646233 | + | 0.763140i | \(0.276343\pi\) | |||||||
\(810\) | −6.50257e40 | − | 1.12628e41i | −0.0436568 | − | 0.0756158i | ||||
\(811\) | 8.97128e41 | 0.591633 | 0.295816 | − | 0.955245i | \(-0.404408\pi\) | ||||
0.295816 | + | 0.955245i | \(0.404408\pi\) | |||||||
\(812\) | −8.68516e41 | + | 4.37551e41i | −0.562620 | + | 0.283444i | ||||
\(813\) | −5.74814e40 | −0.0365775 | ||||||||
\(814\) | −4.48420e41 | − | 7.76687e41i | −0.280305 | − | 0.485503i | ||||
\(815\) | 3.74296e41 | − | 6.48300e41i | 0.229842 | − | 0.398099i | ||||
\(816\) | 1.61118e41 | − | 2.79065e41i | 0.0971936 | − | 0.168344i | ||||
\(817\) | −3.35625e41 | − | 5.81320e41i | −0.198900 | − | 0.344505i | ||||
\(818\) | 2.10419e42 | 1.22507 | ||||||||
\(819\) | 4.30821e40 | − | 7.56044e41i | 0.0246422 | − | 0.432445i | ||||
\(820\) | 1.37352e42 | 0.771855 | ||||||||
\(821\) | 1.32147e42 | + | 2.28885e42i | 0.729595 | + | 1.26370i | 0.957055 | + | 0.289908i | \(0.0936246\pi\) |
−0.227460 | + | 0.973787i | \(0.573042\pi\) | |||||||
\(822\) | 1.44112e40 | − | 2.49609e40i | 0.00781733 | − | 0.0135400i | ||||
\(823\) | −4.65315e41 | + | 8.05949e41i | −0.247999 | + | 0.429546i | −0.962970 | − | 0.269607i | \(-0.913106\pi\) |
0.714972 | + | 0.699153i | \(0.246439\pi\) | |||||||
\(824\) | 1.72726e42 | + | 2.99170e42i | 0.904509 | + | 1.56665i | ||||
\(825\) | 1.03596e40 | 0.00533044 | ||||||||
\(826\) | 1.18381e42 | + | 7.76476e41i | 0.598509 | + | 0.392570i | ||||
\(827\) | 3.42231e42 | 1.70016 | 0.850079 | − | 0.526654i | \(-0.176554\pi\) | ||||
0.850079 | + | 0.526654i | \(0.176554\pi\) | |||||||
\(828\) | 4.87672e40 | + | 8.44673e40i | 0.0238061 | + | 0.0412334i | ||||
\(829\) | −7.87401e41 | + | 1.36382e42i | −0.377707 | + | 0.654208i | −0.990728 | − | 0.135859i | \(-0.956621\pi\) |
0.613021 | + | 0.790067i | \(0.289954\pi\) | |||||||
\(830\) | 1.28780e42 | − | 2.23054e42i | 0.607039 | − | 1.05142i | ||||
\(831\) | −7.20599e41 | − | 1.24811e42i | −0.333794 | − | 0.578149i | ||||
\(832\) | −2.92122e42 | −1.32977 | ||||||||
\(833\) | −1.65272e42 | − | 1.88970e41i | −0.739346 | − | 0.0845356i | ||||
\(834\) | 1.47691e42 | 0.649302 | ||||||||
\(835\) | −1.57725e42 | − | 2.73187e42i | −0.681468 | − | 1.18034i | ||||
\(836\) | −3.93855e41 | + | 6.82176e41i | −0.167242 | + | 0.289671i | ||||
\(837\) | −2.02139e41 | + | 3.50115e41i | −0.0843588 | + | 0.146114i | ||||
\(838\) | −5.48330e41 | − | 9.49736e41i | −0.224907 | − | 0.389551i | ||||
\(839\) | 7.48218e40 | 0.0301634 | 0.0150817 | − | 0.999886i | \(-0.495199\pi\) | ||||
0.0150817 | + | 0.999886i | \(0.495199\pi\) | |||||||
\(840\) | 1.33378e42 | + | 8.74840e41i | 0.528485 | + | 0.346640i | ||||
\(841\) | 4.02830e42 | 1.56884 | ||||||||
\(842\) | −1.66409e42 | − | 2.88229e42i | −0.637018 | − | 1.10335i | ||||
\(843\) | −6.74066e40 | + | 1.16752e41i | −0.0253631 | + | 0.0439302i | ||||
\(844\) | 6.00368e41 | − | 1.03987e42i | 0.222051 | − | 0.384603i | ||||
\(845\) | −9.55159e41 | − | 1.65438e42i | −0.347259 | − | 0.601470i | ||||
\(846\) | −3.51956e41 | −0.125782 | ||||||||
\(847\) | 1.16514e41 | − | 2.04470e42i | 0.0409326 | − | 0.718323i | ||||
\(848\) | −2.27851e41 | −0.0786886 | ||||||||
\(849\) | −1.08515e42 | − | 1.87954e42i | −0.368408 | − | 0.638101i | ||||
\(850\) | −1.51402e40 | + | 2.62237e40i | −0.00505311 | + | 0.00875224i | ||||
\(851\) | −7.52385e41 | + | 1.30317e42i | −0.246866 | + | 0.427585i | ||||
\(852\) | −2.06610e41 | − | 3.57859e41i | −0.0666465 | − | 0.115435i | ||||
\(853\) | 1.97177e42 | 0.625309 | 0.312655 | − | 0.949867i | \(-0.398782\pi\) | ||||
0.312655 | + | 0.949867i | \(0.398782\pi\) | |||||||
\(854\) | −3.65980e42 | + | 1.84378e42i | −1.14109 | + | 0.574871i | ||||
\(855\) | −1.76229e42 | −0.540218 | ||||||||
\(856\) | 6.00338e41 | + | 1.03982e42i | 0.180937 | + | 0.313391i | ||||
\(857\) | −1.35950e41 | + | 2.35473e41i | −0.0402864 | + | 0.0697781i | −0.885466 | − | 0.464705i | \(-0.846160\pi\) |
0.845179 | + | 0.534483i | \(0.179494\pi\) | |||||||
\(858\) | 5.31225e41 | − | 9.20108e41i | 0.154779 | − | 0.268085i | ||||
\(859\) | 1.36711e42 | + | 2.36791e42i | 0.391655 | + | 0.678367i | 0.992668 | − | 0.120872i | \(-0.0385692\pi\) |
−0.601013 | + | 0.799240i | \(0.705236\pi\) | |||||||
\(860\) | 3.48473e41 | 0.0981615 | ||||||||
\(861\) | −3.62402e42 | + | 1.82575e42i | −1.00380 | + | 0.505704i | ||||
\(862\) | 1.84741e41 | 0.0503162 | ||||||||
\(863\) | −1.49408e42 | − | 2.58783e42i | −0.400146 | − | 0.693073i | 0.593597 | − | 0.804762i | \(-0.297707\pi\) |
−0.993743 | + | 0.111689i | \(0.964374\pi\) | |||||||
\(864\) | −2.67747e41 | + | 4.63752e41i | −0.0705141 | + | 0.122134i | ||||
\(865\) | −9.64401e41 | + | 1.67039e42i | −0.249761 | + | 0.432598i | ||||
\(866\) | 1.99546e42 | + | 3.45623e42i | 0.508198 | + | 0.880225i | ||||
\(867\) | −1.02865e42 | −0.257626 | ||||||||
\(868\) | 7.95950e40 | − | 1.39681e42i | 0.0196042 | − | 0.344033i | ||||
\(869\) | 2.94551e42 | 0.713466 | ||||||||
\(870\) | −1.52627e42 | − | 2.64358e42i | −0.363582 | − | 0.629743i | ||||
\(871\) | 1.79631e42 | − | 3.11130e42i | 0.420841 | − | 0.728917i | ||||
\(872\) | −1.28555e42 | + | 2.22663e42i | −0.296210 | + | 0.513050i | ||||
\(873\) | 9.51994e41 | + | 1.64890e42i | 0.215739 | + | 0.373670i | ||||
\(874\) | −2.04081e42 | −0.454870 | ||||||||
\(875\) | 3.78034e42 | + | 2.47957e42i | 0.828731 | + | 0.543575i | ||||
\(876\) | 9.04639e40 | 0.0195059 | ||||||||
\(877\) | −1.74802e42 | − | 3.02766e42i | −0.370725 | − | 0.642114i | 0.618952 | − | 0.785429i | \(-0.287557\pi\) |
−0.989677 | + | 0.143314i | \(0.954224\pi\) | |||||||
\(878\) | 1.43880e42 | − | 2.49208e42i | 0.300145 | − | 0.519866i | ||||
\(879\) | 5.30420e41 | − | 9.18714e41i | 0.108838 | − | 0.188513i | ||||
\(880\) | 5.98766e41 | + | 1.03709e42i | 0.120853 | + | 0.209324i | ||||
\(881\) | 1.24917e42 | 0.248011 | 0.124005 | − | 0.992282i | \(-0.460426\pi\) | ||||
0.124005 | + | 0.992282i | \(0.460426\pi\) | |||||||
\(882\) | −1.32107e42 | − | 1.51049e41i | −0.258006 | − | 0.0295000i | ||||
\(883\) | 1.46375e41 | 0.0281215 | 0.0140607 | − | 0.999901i | \(-0.495524\pi\) | ||||
0.0140607 | + | 0.999901i | \(0.495524\pi\) | |||||||
\(884\) | −1.00557e42 | − | 1.74171e42i | −0.190045 | − | 0.329167i | ||||
\(885\) | 1.43893e42 | − | 2.49230e42i | 0.267524 | − | 0.463365i | ||||
\(886\) | −3.80227e42 | + | 6.58572e42i | −0.695430 | + | 1.20452i | ||||
\(887\) | 5.34238e42 | + | 9.25328e42i | 0.961263 | + | 1.66496i | 0.719335 | + | 0.694663i | \(0.244446\pi\) |
0.241928 | + | 0.970294i | \(0.422220\pi\) | |||||||
\(888\) | −4.80933e42 | −0.851326 | ||||||||
\(889\) | −4.07954e42 | − | 2.67583e42i | −0.710454 | − | 0.465996i | ||||
\(890\) | 7.00115e42 | 1.19954 | ||||||||
\(891\) | −1.74554e41 | − | 3.02336e41i | −0.0294241 | − | 0.0509640i | ||||
\(892\) | 1.25414e42 | − | 2.17224e42i | 0.207997 | − | 0.360261i | ||||
\(893\) | −2.38463e42 | + | 4.13031e42i | −0.389113 | + | 0.673963i | ||||
\(894\) | −1.10488e42 | − | 1.91371e42i | −0.177387 | − | 0.307243i | ||||
\(895\) | 8.33288e42 | 1.31632 | ||||||||
\(896\) | −2.35867e40 | + | 4.13922e41i | −0.00366608 | + | 0.0643357i | ||||
\(897\) | −1.78264e42 | −0.272629 | ||||||||
\(898\) | −9.06961e41 | − | 1.57090e42i | −0.136484 | − | 0.236397i | ||||
\(899\) | −4.74457e42 | + | 8.21783e42i | −0.702556 | + | 1.21686i | ||||
\(900\) | 7.83746e39 | − | 1.35749e40i | 0.00114198 | − | 0.00197797i | ||||
\(901\) | −4.51336e41 | − | 7.81737e41i | −0.0647128 | − | 0.112086i | ||||
\(902\) | −5.69329e42 | −0.803283 | ||||||||
\(903\) | −9.19440e41 | + | 4.63207e41i | −0.127659 | + | 0.0643135i | ||||
\(904\) | −4.59312e42 | −0.627574 | ||||||||
\(905\) | −1.59955e42 | − | 2.77051e42i | −0.215077 | − | 0.372525i | ||||
\(906\) | 2.05662e42 | − | 3.56217e42i | 0.272142 | − | 0.471364i | ||||
\(907\) | −2.81496e42 | + | 4.87565e42i | −0.366578 | + | 0.634932i | −0.989028 | − | 0.147728i | \(-0.952804\pi\) |
0.622450 | + | 0.782660i | \(0.286137\pi\) | |||||||
\(908\) | 1.88355e42 | + | 3.26241e42i | 0.241397 | + | 0.418113i | ||||
\(909\) | 3.47883e42 | 0.438791 | ||||||||
\(910\) | −7.34625e42 | + | 3.70098e42i | −0.911938 | + | 0.459427i | ||||
\(911\) | −7.40934e41 | −0.0905239 | −0.0452619 | − | 0.998975i | \(-0.514412\pi\) | ||||
−0.0452619 | + | 0.998975i | \(0.514412\pi\) | |||||||
\(912\) | −1.74515e42 | − | 3.02269e42i | −0.209849 | − | 0.363470i | ||||
\(913\) | 3.45695e42 | − | 5.98762e42i | 0.409136 | − | 0.708644i | ||||
\(914\) | −4.86224e42 | + | 8.42165e42i | −0.566392 | + | 0.981019i | ||||
\(915\) | 4.16514e42 | + | 7.21424e42i | 0.477556 | + | 0.827151i | ||||
\(916\) | 3.30475e42 | 0.372953 | ||||||||
\(917\) | −3.64344e41 | + | 6.39384e42i | −0.0404721 | + | 0.710242i | ||||
\(918\) | 1.02042e42 | 0.111573 | ||||||||
\(919\) | −5.62526e42 | − | 9.74323e42i | −0.605435 | − | 1.04864i | −0.991983 | − | 0.126375i | \(-0.959666\pi\) |
0.386548 | − | 0.922269i | \(-0.373667\pi\) | |||||||
\(920\) | 1.87744e42 | − | 3.25182e42i | 0.198904 | − | 0.344511i | ||||
\(921\) | 1.73233e41 | − | 3.00049e41i | 0.0180662 | − | 0.0312916i | ||||
\(922\) | −1.66835e42 | − | 2.88967e42i | −0.171273 | − | 0.296654i | ||||
\(923\) | 7.55243e42 | 0.763242 | ||||||||
\(924\) | 1.01023e42 | + | 6.62620e41i | 0.100502 | + | 0.0659206i | ||||
\(925\) | 2.41834e41 | 0.0236844 | ||||||||
\(926\) | −2.80022e42 | − | 4.85013e42i | −0.269981 | − | 0.467621i | ||||
\(927\) | −2.92688e42 | + | 5.06951e42i | −0.277811 | + | 0.481182i | ||||
\(928\) | −6.28452e42 | + | 1.08851e43i | −0.587255 | + | 1.01716i | ||||
\(929\) | 1.30911e42 | + | 2.26744e42i | 0.120434 | + | 0.208597i | 0.919939 | − | 0.392062i | \(-0.128238\pi\) |
−0.799505 | + | 0.600659i | \(0.794905\pi\) | |||||||
\(930\) | 4.39146e42 | 0.397746 | ||||||||
\(931\) | −1.07233e43 | + | 1.44797e43i | −0.956222 | + | 1.29119i | ||||
\(932\) | −8.05758e41 | −0.0707415 | ||||||||
\(933\) | 1.87890e42 | + | 3.25435e42i | 0.162413 | + | 0.281307i | ||||
\(934\) | 9.36205e40 | − | 1.62156e41i | 0.00796785 | − | 0.0138007i | ||||
\(935\) | −2.37211e42 | + | 4.10861e42i | −0.198777 | + | 0.344292i | ||||
\(936\) | −2.84870e42 | − | 4.93410e42i | −0.235043 | − | 0.407106i | ||||
\(937\) | 5.96823e42 | 0.484866 | 0.242433 | − | 0.970168i | \(-0.422055\pi\) | ||||
0.242433 | + | 0.970168i | \(0.422055\pi\) | |||||||
\(938\) | −5.27476e42 | − | 3.45979e42i | −0.421951 | − | 0.276763i | ||||
\(939\) | 4.86408e41 | 0.0383133 | ||||||||
\(940\) | −1.23796e42 | − | 2.14421e42i | −0.0960179 | − | 0.166308i | ||||
\(941\) | 3.61707e42 | − | 6.26495e42i | 0.276253 | − | 0.478485i | −0.694197 | − | 0.719785i | \(-0.744240\pi\) |
0.970451 | + | 0.241300i | \(0.0775738\pi\) | |||||||
\(942\) | 8.24152e41 | − | 1.42747e42i | 0.0619825 | − | 0.107357i | ||||
\(943\) | 4.77626e42 | + | 8.27273e42i | 0.353727 | + | 0.612674i | ||||
\(944\) | 5.69974e42 | 0.415682 | ||||||||
\(945\) | −1.53772e41 | + | 2.69854e42i | −0.0110437 | + | 0.193806i | ||||
\(946\) | −1.44443e42 | −0.102158 | ||||||||
\(947\) | −7.25553e41 | − | 1.25670e42i | −0.0505353 | − | 0.0875297i | 0.839651 | − | 0.543126i | \(-0.182759\pi\) |
−0.890187 | + | 0.455596i | \(0.849426\pi\) | |||||||
\(948\) | 2.22838e42 | − | 3.85967e42i | 0.152851 | − | 0.264746i | ||||
\(949\) | −8.26705e41 | + | 1.43189e42i | −0.0558458 | + | 0.0967277i | ||||
\(950\) | 1.63991e41 | + | 2.84041e41i | 0.0109101 | + | 0.0188968i | ||||
\(951\) | 1.36746e43 | 0.895976 | ||||||||
\(952\) | −1.11772e43 | + | 5.63097e42i | −0.721266 | + | 0.363368i | ||||
\(953\) | 2.45702e43 | 1.56157 | 0.780785 | − | 0.624799i | \(-0.214819\pi\) | ||||
0.780785 | + | 0.624799i | \(0.214819\pi\) | |||||||
\(954\) | −3.60765e41 | − | 6.24863e41i | −0.0225825 | − | 0.0391141i | ||||
\(955\) | 2.03232e42 | − | 3.52009e42i | 0.125298 | − | 0.217023i | ||||
\(956\) | 2.47422e42 | − | 4.28547e42i | 0.150244 | − | 0.260231i | ||||
\(957\) | −4.09710e42 | − | 7.09638e42i | −0.245049 | − | 0.424438i | ||||
\(958\) | 1.35188e43 | 0.796412 | ||||||||
\(959\) | −5.34973e41 | + | 2.69515e41i | −0.0310429 | + | 0.0156392i | ||||
\(960\) | 1.04266e43 | 0.595952 | ||||||||
\(961\) | 2.05530e42 | + | 3.55988e42i | 0.115714 | + | 0.200422i | ||||
\(962\) | 1.24008e43 | − | 2.14789e43i | 0.687721 | − | 1.19117i | ||||
\(963\) | −1.01729e42 | + | 1.76199e42i | −0.0555729 | + | 0.0962550i | ||||
\(964\) | −3.80304e42 | − | 6.58706e42i | −0.204651 | − | 0.354466i | ||||
\(965\) | 1.34456e43 | 0.712744 | ||||||||
\(966\) | −1.78075e41 | + | 3.12502e42i | −0.00929896 | + | 0.163187i | ||||
\(967\) | 9.75838e42 | 0.501989 | 0.250994 | − | 0.967989i | \(-0.419242\pi\) | ||||
0.250994 | + | 0.967989i | \(0.419242\pi\) | |||||||
\(968\) | −7.70423e42 | − | 1.33441e43i | −0.390424 | − | 0.676234i | ||||
\(969\) | 6.91370e42 | − | 1.19749e43i | 0.345156 | − | 0.597828i | ||||
\(970\) | 1.03410e43 | − | 1.79112e43i | 0.508597 | − | 0.880916i | ||||
\(971\) | −1.30620e43 | − | 2.26241e43i | −0.632894 | − | 1.09620i | −0.986957 | − | 0.160983i | \(-0.948534\pi\) |
0.354063 | − | 0.935221i | \(-0.384800\pi\) | |||||||
\(972\) | −5.28226e41 | −0.0252150 | ||||||||
\(973\) | −2.56667e43 | − | 1.68351e43i | −1.20707 | − | 0.791735i | ||||
\(974\) | −2.65751e43 | −1.23132 | ||||||||
\(975\) | 1.43245e41 | + | 2.48108e41i | 0.00653903 | + | 0.0113259i | ||||
\(976\) | −8.24925e42 | + | 1.42881e43i | −0.371016 | + | 0.642618i | ||||
\(977\) | −1.24448e43 | + | 2.15551e43i | −0.551465 | + | 0.955165i | 0.446704 | + | 0.894682i | \(0.352598\pi\) |
−0.998169 | + | 0.0604834i | \(0.980736\pi\) | |||||||
\(978\) | 2.34748e42 | + | 4.06595e42i | 0.102492 | + | 0.177521i | ||||
\(979\) | 1.87938e43 | 0.808472 | ||||||||
\(980\) | −3.72645e42 | − | 8.57957e42i | −0.157949 | − | 0.363653i | ||||
\(981\) | −4.35678e42 | −0.181956 | ||||||||
\(982\) | −9.38331e42 | − | 1.62524e43i | −0.386135 | − | 0.668806i | ||||
\(983\) | 1.90796e43 | − | 3.30468e43i | 0.773647 | − | 1.34000i | −0.161905 | − | 0.986806i | \(-0.551764\pi\) |
0.935552 | − | 0.353189i | \(-0.114903\pi\) | |||||||
\(984\) | −1.52652e43 | + | 2.64401e43i | −0.609920 | + | 1.05641i | ||||
\(985\) | 4.66719e42 | + | 8.08381e42i | 0.183751 | + | 0.318266i | ||||
\(986\) | 2.39510e43 | 0.929200 | ||||||||
\(987\) | 6.11651e42 | + | 4.01190e42i | 0.233833 | + | 0.153374i | ||||
\(988\) | −2.17837e43 | −0.820646 | ||||||||
\(989\) | 1.21177e42 | + | 2.09885e42i | 0.0449857 | + | 0.0779175i | ||||
\(990\) | −1.89609e42 | + | 3.28412e42i | −0.0693663 | + | 0.120146i | ||||
\(991\) | 3.44445e42 | − | 5.96596e42i | 0.124180 | − | 0.215086i | −0.797232 | − | 0.603673i | \(-0.793703\pi\) |
0.921412 | + | 0.388587i | \(0.127037\pi\) | |||||||
\(992\) | −9.04106e42 | − | 1.56596e43i | −0.321218 | − | 0.556366i | ||||
\(993\) | −6.55995e42 | −0.229687 | ||||||||
\(994\) | 7.54442e41 | − | 1.32397e43i | 0.0260330 | − | 0.456850i | ||||
\(995\) | −4.11794e43 | −1.40038 | ||||||||
\(996\) | −5.23063e42 | − | 9.05971e42i | −0.175305 | − | 0.303636i | ||||
\(997\) | 2.78815e43 | − | 4.82922e43i | 0.920951 | − | 1.59513i | 0.123004 | − | 0.992406i | \(-0.460747\pi\) |
0.797947 | − | 0.602727i | \(-0.205919\pi\) | |||||||
\(998\) | 1.84170e43 | − | 3.18992e43i | 0.599551 | − | 1.03845i | ||||
\(999\) | −4.07476e42 | − | 7.05769e42i | −0.130738 | − | 0.226445i |
(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 | 21.30.e.b.4.7 | ✓ | 40 | |
7.2 | even | 3 | inner | 21.30.e.b.16.7 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
21.30.e.b.4.7 | ✓ | 40 | 1.1 | even | 1 | trivial | |
21.30.e.b.16.7 | yes | 40 | 7.2 | even | 3 | inner |