Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [12,20,Mod(11,12)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(12, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1]))
N = Newforms(chi, 20, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("12.11");
S:= CuspForms(chi, 20);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 12 = 2^{2} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 20 \) |
Character orbit: | \([\chi]\) | \(=\) | 12.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(27.4580035868\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 11.12 | ||
Character | \(\chi\) | \(=\) | 12.11 |
Dual form | 12.20.b.a.11.11 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/12\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(7\) |
\(\chi(n)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −395.354 | + | 606.616i | −0.546011 | + | 0.837778i | ||||
\(3\) | −27131.3 | − | 20643.4i | −0.795828 | − | 0.605522i | ||||
\(4\) | −211678. | − | 479656.i | −0.403744 | − | 0.914872i | ||||
\(5\) | − | 730760.i | − | 0.167325i | −0.996494 | − | 0.0836623i | \(-0.973338\pi\) | ||
0.996494 | − | 0.0836623i | \(-0.0266617\pi\) | |||||||
\(6\) | 2.32491e7 | − | 8.29684e6i | 0.941824 | − | 0.336106i | ||||
\(7\) | 7.02914e6i | 0.0658371i | 0.999458 | + | 0.0329186i | \(0.0104802\pi\) | ||||
−0.999458 | + | 0.0329186i | \(0.989520\pi\) | |||||||
\(8\) | 3.74655e8 | + | 6.12270e7i | 0.986908 | + | 0.161283i | ||||
\(9\) | 3.09959e8 | + | 1.12017e9i | 0.266686 | + | 0.963784i | ||||
\(10\) | 4.43291e8 | + | 2.88909e8i | 0.140181 | + | 0.0913611i | ||||
\(11\) | 9.08653e9 | 1.16190 | 0.580948 | − | 0.813941i | \(-0.302682\pi\) | ||||
0.580948 | + | 0.813941i | \(0.302682\pi\) | |||||||
\(12\) | −4.15865e9 | + | 1.73835e10i | −0.232665 | + | 0.972557i | ||||
\(13\) | −2.88811e10 | −0.755357 | −0.377679 | − | 0.925937i | \(-0.623278\pi\) | ||||
−0.377679 | + | 0.925937i | \(0.623278\pi\) | |||||||
\(14\) | −4.26399e9 | − | 2.77900e9i | −0.0551569 | − | 0.0359478i | ||||
\(15\) | −1.50854e10 | + | 1.98265e10i | −0.101319 | + | 0.133162i | ||||
\(16\) | −1.85263e11 | + | 2.03065e11i | −0.673982 | + | 0.738748i | ||||
\(17\) | 3.88234e11i | 0.794014i | 0.917815 | + | 0.397007i | \(0.129951\pi\) | ||||
−0.917815 | + | 0.397007i | \(0.870049\pi\) | |||||||
\(18\) | −8.02056e11 | − | 2.54837e11i | −0.953050 | − | 0.302813i | ||||
\(19\) | − | 1.03792e12i | − | 0.737910i | −0.929447 | − | 0.368955i | \(-0.879716\pi\) | ||
0.929447 | − | 0.368955i | \(-0.120284\pi\) | |||||||
\(20\) | −3.50514e11 | + | 1.54686e11i | −0.153081 | + | 0.0675563i | ||||
\(21\) | 1.45106e11 | − | 1.90710e11i | 0.0398658 | − | 0.0523951i | ||||
\(22\) | −3.59240e12 | + | 5.51203e12i | −0.634408 | + | 0.973411i | ||||
\(23\) | 2.94119e12 | 0.340493 | 0.170247 | − | 0.985401i | \(-0.445544\pi\) | ||||
0.170247 | + | 0.985401i | \(0.445544\pi\) | |||||||
\(24\) | −8.90096e12 | − | 9.39534e12i | −0.687749 | − | 0.725948i | ||||
\(25\) | 1.85395e13 | 0.972002 | ||||||||
\(26\) | 1.14183e13 | − | 1.75198e13i | 0.412434 | − | 0.632822i | ||||
\(27\) | 1.47145e13 | − | 3.67903e13i | 0.371356 | − | 0.928491i | ||||
\(28\) | 3.37157e12 | − | 1.48791e12i | 0.0602326 | − | 0.0265813i | ||||
\(29\) | − | 8.24391e13i | − | 1.05524i | −0.849480 | − | 0.527621i | \(-0.823084\pi\) | ||
0.849480 | − | 0.527621i | \(-0.176916\pi\) | |||||||
\(30\) | −6.06300e12 | − | 1.69895e13i | −0.0562388 | − | 0.157590i | ||||
\(31\) | 2.06352e12i | 0.0140175i | 0.999975 | + | 0.00700877i | \(0.00223098\pi\) | ||||
−0.999975 | + | 0.00700877i | \(0.997769\pi\) | |||||||
\(32\) | −4.99383e13 | − | 1.92666e14i | −0.250905 | − | 0.968012i | ||||
\(33\) | −2.46530e14 | − | 1.87577e14i | −0.924670 | − | 0.703554i | ||||
\(34\) | −2.35509e14 | − | 1.53490e14i | −0.665208 | − | 0.433541i | ||||
\(35\) | 5.13662e12 | 0.0110162 | ||||||||
\(36\) | 4.71685e14 | − | 3.85789e14i | 0.774066 | − | 0.633105i | ||||
\(37\) | −1.42060e15 | −1.79703 | −0.898517 | − | 0.438938i | \(-0.855355\pi\) | ||||
−0.898517 | + | 0.438938i | \(0.855355\pi\) | |||||||
\(38\) | 6.29617e14 | + | 4.10345e14i | 0.618204 | + | 0.402907i | ||||
\(39\) | 7.83584e14 | + | 5.96206e14i | 0.601135 | + | 0.457386i | ||||
\(40\) | 4.47423e13 | − | 2.73783e14i | 0.0269866 | − | 0.165134i | ||||
\(41\) | − | 1.17371e15i | − | 0.559903i | −0.960014 | − | 0.279952i | \(-0.909682\pi\) | ||
0.960014 | − | 0.279952i | \(-0.0903185\pi\) | |||||||
\(42\) | 5.83197e13 | + | 1.63421e14i | 0.0221282 | + | 0.0620070i | ||||
\(43\) | − | 3.15853e15i | − | 0.958375i | −0.877713 | − | 0.479187i | \(-0.840931\pi\) | ||
0.877713 | − | 0.479187i | \(-0.159069\pi\) | |||||||
\(44\) | −1.92342e15 | − | 4.35841e15i | −0.469108 | − | 1.06299i | ||||
\(45\) | 8.18575e14 | − | 2.26505e14i | 0.161265 | − | 0.0446231i | ||||
\(46\) | −1.16281e15 | + | 1.78417e15i | −0.185913 | + | 0.285258i | ||||
\(47\) | −8.86803e15 | −1.15584 | −0.577920 | − | 0.816094i | \(-0.696135\pi\) | ||||
−0.577920 | + | 0.816094i | \(0.696135\pi\) | |||||||
\(48\) | 9.21840e15 | − | 1.68498e15i | 0.983702 | − | 0.179805i | ||||
\(49\) | 1.13495e16 | 0.995665 | ||||||||
\(50\) | −7.32966e15 | + | 1.12463e16i | −0.530724 | + | 0.814322i | ||||
\(51\) | 8.01447e15 | − | 1.05333e16i | 0.480793 | − | 0.631899i | ||||
\(52\) | 6.11350e15 | + | 1.38530e16i | 0.304971 | + | 0.691055i | ||||
\(53\) | 3.81942e16i | 1.58992i | 0.606659 | + | 0.794962i | \(0.292509\pi\) | ||||
−0.606659 | + | 0.794962i | \(0.707491\pi\) | |||||||
\(54\) | 1.65001e16 | + | 2.34713e16i | 0.575104 | + | 0.818080i | ||||
\(55\) | − | 6.64007e15i | − | 0.194414i | ||||||
\(56\) | −4.30373e14 | + | 2.63350e15i | −0.0106184 | + | 0.0649752i | ||||
\(57\) | −2.14262e16 | + | 2.81601e16i | −0.446821 | + | 0.587250i | ||||
\(58\) | 5.00089e16 | + | 3.25926e16i | 0.884059 | + | 0.576174i | ||||
\(59\) | −1.21384e17 | −1.82418 | −0.912089 | − | 0.409993i | \(-0.865531\pi\) | ||||
−0.912089 | + | 0.409993i | \(0.865531\pi\) | |||||||
\(60\) | 1.27032e16 | + | 3.03897e15i | 0.162733 | + | 0.0389305i | ||||
\(61\) | −1.00812e17 | −1.10377 | −0.551886 | − | 0.833920i | \(-0.686092\pi\) | ||||
−0.551886 | + | 0.833920i | \(0.686092\pi\) | |||||||
\(62\) | −1.25176e15 | − | 8.15820e14i | −0.0117436 | − | 0.00765373i | ||||
\(63\) | −7.87382e15 | + | 2.17874e15i | −0.0634527 | + | 0.0175578i | ||||
\(64\) | 1.36618e17 | + | 4.58780e16i | 0.947976 | + | 0.318343i | ||||
\(65\) | 2.11052e16i | 0.126390i | ||||||||
\(66\) | 2.11254e17 | − | 7.53895e16i | 1.09430 | − | 0.390520i | ||||
\(67\) | − | 3.94692e17i | − | 1.77234i | −0.463359 | − | 0.886171i | \(-0.653356\pi\) | ||
0.463359 | − | 0.886171i | \(-0.346644\pi\) | |||||||
\(68\) | 1.86219e17 | − | 8.21805e16i | 0.726422 | − | 0.320578i | ||||
\(69\) | −7.97985e16 | − | 6.07163e16i | −0.270974 | − | 0.206176i | ||||
\(70\) | −2.03078e15 | + | 3.11595e15i | −0.00601495 | + | 0.00922911i | ||||
\(71\) | −5.81989e16 | −0.150647 | −0.0753235 | − | 0.997159i | \(-0.523999\pi\) | ||||
−0.0753235 | + | 0.997159i | \(0.523999\pi\) | |||||||
\(72\) | 4.75430e16 | + | 4.38655e17i | 0.107753 | + | 0.994178i | ||||
\(73\) | −3.90789e17 | −0.776918 | −0.388459 | − | 0.921466i | \(-0.626992\pi\) | ||||
−0.388459 | + | 0.921466i | \(0.626992\pi\) | |||||||
\(74\) | 5.61642e17 | − | 8.61761e17i | 0.981201 | − | 1.50552i | ||||
\(75\) | −5.03001e17 | − | 3.82718e17i | −0.773547 | − | 0.588569i | ||||
\(76\) | −4.97843e17 | + | 2.19704e17i | −0.675093 | + | 0.297926i | ||||
\(77\) | 6.38705e16i | 0.0764959i | ||||||||
\(78\) | −6.71461e17 | + | 2.39622e17i | −0.711414 | + | 0.253880i | ||||
\(79\) | − | 1.66380e18i | − | 1.56186i | −0.624616 | − | 0.780932i | \(-0.714744\pi\) | ||
0.624616 | − | 0.780932i | \(-0.285256\pi\) | |||||||
\(80\) | 1.48392e17 | + | 1.35383e17i | 0.123611 | + | 0.112774i | ||||
\(81\) | −1.15870e18 | + | 6.94412e17i | −0.857757 | + | 0.514055i | ||||
\(82\) | 7.11989e17 | + | 4.64030e17i | 0.469075 | + | 0.305713i | ||||
\(83\) | 1.76496e17 | 0.103632 | 0.0518159 | − | 0.998657i | \(-0.483499\pi\) | ||||
0.0518159 | + | 0.998657i | \(0.483499\pi\) | |||||||
\(84\) | −1.22191e17 | − | 2.92317e16i | −0.0640304 | − | 0.0153180i | ||||
\(85\) | 2.83706e17 | 0.132858 | ||||||||
\(86\) | 1.91602e18 | + | 1.24874e18i | 0.802905 | + | 0.523283i | ||||
\(87\) | −1.70183e18 | + | 2.23668e18i | −0.638972 | + | 0.839792i | ||||
\(88\) | 3.40431e18 | + | 5.56341e17i | 1.14669 | + | 0.187394i | ||||
\(89\) | 1.08426e18i | 0.328042i | 0.986457 | + | 0.164021i | \(0.0524465\pi\) | ||||
−0.986457 | + | 0.164021i | \(0.947553\pi\) | |||||||
\(90\) | −1.86225e17 | + | 5.86110e17i | −0.0506681 | + | 0.159469i | ||||
\(91\) | − | 2.03010e17i | − | 0.0497306i | ||||||
\(92\) | −6.22585e17 | − | 1.41076e18i | −0.137472 | − | 0.311508i | ||||
\(93\) | 4.25981e16 | − | 5.59860e16i | 0.00848793 | − | 0.0111556i | ||||
\(94\) | 3.50601e18 | − | 5.37949e18i | 0.631101 | − | 0.968337i | ||||
\(95\) | −7.58468e17 | −0.123470 | ||||||||
\(96\) | −2.62240e18 | + | 6.25819e18i | −0.386475 | + | 0.922300i | ||||
\(97\) | 8.25125e18 | 1.10202 | 0.551008 | − | 0.834500i | \(-0.314243\pi\) | ||||
0.551008 | + | 0.834500i | \(0.314243\pi\) | |||||||
\(98\) | −4.48707e18 | + | 6.88478e18i | −0.543644 | + | 0.834147i | ||||
\(99\) | 2.81645e18 | + | 1.01784e19i | 0.309861 | + | 1.11982i | ||||
\(100\) | −3.92440e18 | − | 8.89258e18i | −0.392440 | − | 0.889258i | ||||
\(101\) | 1.95339e17i | 0.0177720i | 0.999961 | + | 0.00888600i | \(0.00282854\pi\) | ||||
−0.999961 | + | 0.00888600i | \(0.997171\pi\) | |||||||
\(102\) | 3.22111e18 | + | 9.02609e18i | 0.266873 | + | 0.747822i | ||||
\(103\) | − | 6.24310e18i | − | 0.471462i | −0.971818 | − | 0.235731i | \(-0.924252\pi\) | ||
0.971818 | − | 0.235731i | \(-0.0757484\pi\) | |||||||
\(104\) | −1.08205e19 | − | 1.76831e18i | −0.745468 | − | 0.121826i | ||||
\(105\) | −1.39363e17 | − | 1.06037e17i | −0.00876698 | − | 0.00667054i | ||||
\(106\) | −2.31692e19 | − | 1.51002e19i | −1.33200 | − | 0.868116i | ||||
\(107\) | 9.57966e18 | 0.503737 | 0.251869 | − | 0.967761i | \(-0.418955\pi\) | ||||
0.251869 | + | 0.967761i | \(0.418955\pi\) | |||||||
\(108\) | −2.07614e19 | + | 7.29777e17i | −0.999383 | + | 0.0351289i | ||||
\(109\) | 9.97969e18 | 0.440114 | 0.220057 | − | 0.975487i | \(-0.429376\pi\) | ||||
0.220057 | + | 0.975487i | \(0.429376\pi\) | |||||||
\(110\) | 4.02797e18 | + | 2.62518e18i | 0.162876 | + | 0.106152i | ||||
\(111\) | 3.85429e19 | + | 2.93261e19i | 1.43013 | + | 1.08814i | ||||
\(112\) | −1.42738e18 | − | 1.30224e18i | −0.0486370 | − | 0.0443730i | ||||
\(113\) | − | 3.76317e19i | − | 1.17844i | −0.807971 | − | 0.589222i | \(-0.799434\pi\) | ||
0.807971 | − | 0.589222i | \(-0.200566\pi\) | |||||||
\(114\) | −8.61143e18 | − | 2.41307e19i | −0.248016 | − | 0.694981i | ||||
\(115\) | − | 2.14931e18i | − | 0.0569729i | ||||||
\(116\) | −3.95424e19 | + | 1.74505e19i | −0.965412 | + | 0.426047i | ||||
\(117\) | −8.95196e18 | − | 3.23517e19i | −0.201443 | − | 0.728001i | ||||
\(118\) | 4.79897e19 | − | 7.36334e19i | 0.996021 | − | 1.52826i | ||||
\(119\) | −2.72895e18 | −0.0522756 | ||||||||
\(120\) | −6.86574e18 | + | 6.50447e18i | −0.121469 | + | 0.115077i | ||||
\(121\) | 2.14059e19 | 0.350003 | ||||||||
\(122\) | 3.98565e19 | − | 6.11542e19i | 0.602672 | − | 0.924715i | ||||
\(123\) | −2.42293e19 | + | 3.18443e19i | −0.339034 | + | 0.445587i | ||||
\(124\) | 9.89779e17 | − | 4.36801e17i | 0.0128243 | − | 0.00565949i | ||||
\(125\) | − | 2.74861e19i | − | 0.329965i | ||||||
\(126\) | 1.79129e18 | − | 5.63776e18i | 0.0199363 | − | 0.0627461i | ||||
\(127\) | 3.06110e19i | 0.316040i | 0.987436 | + | 0.158020i | \(0.0505110\pi\) | ||||
−0.987436 | + | 0.158020i | \(0.949489\pi\) | |||||||
\(128\) | −8.18427e19 | + | 6.47364e19i | −0.784306 | + | 0.620374i | ||||
\(129\) | −6.52030e19 | + | 8.56953e19i | −0.580317 | + | 0.762702i | ||||
\(130\) | −1.28027e19 | − | 8.34403e18i | −0.105887 | − | 0.0690103i | ||||
\(131\) | 1.73495e19 | 0.133416 | 0.0667082 | − | 0.997773i | \(-0.478750\pi\) | ||||
0.0667082 | + | 0.997773i | \(0.478750\pi\) | |||||||
\(132\) | −3.77877e19 | + | 1.57956e20i | −0.270332 | + | 1.13001i | ||||
\(133\) | 7.29566e18 | 0.0485819 | ||||||||
\(134\) | 2.39426e20 | + | 1.56043e20i | 1.48483 | + | 0.967718i | ||||
\(135\) | −2.68849e19 | − | 1.07528e19i | −0.155359 | − | 0.0621370i | ||||
\(136\) | −2.37704e19 | + | 1.45454e20i | −0.128061 | + | 0.783619i | ||||
\(137\) | 2.59942e20i | 1.30627i | 0.757243 | + | 0.653133i | \(0.226546\pi\) | ||||
−0.757243 | + | 0.653133i | \(0.773454\pi\) | |||||||
\(138\) | 6.83801e19 | − | 2.44026e19i | 0.320685 | − | 0.114442i | ||||
\(139\) | − | 2.91062e20i | − | 1.27452i | −0.770650 | − | 0.637258i | \(-0.780068\pi\) | ||
0.770650 | − | 0.637258i | \(-0.219932\pi\) | |||||||
\(140\) | −1.08731e18 | − | 2.46381e18i | −0.00444771 | − | 0.0100784i | ||||
\(141\) | 2.40602e20 | + | 1.83067e20i | 0.919850 | + | 0.699886i | ||||
\(142\) | 2.30092e19 | − | 3.53044e19i | 0.0822549 | − | 0.126209i | ||||
\(143\) | −2.62429e20 | −0.877647 | ||||||||
\(144\) | −2.84891e20 | − | 1.44584e20i | −0.891734 | − | 0.452559i | ||||
\(145\) | −6.02432e19 | −0.176568 | ||||||||
\(146\) | 1.54500e20 | − | 2.37059e20i | 0.424206 | − | 0.650885i | ||||
\(147\) | −3.07927e20 | − | 2.34292e20i | −0.792379 | − | 0.602897i | ||||
\(148\) | 3.00710e20 | + | 6.81402e20i | 0.725541 | + | 1.64406i | ||||
\(149\) | − | 5.56983e20i | − | 1.26059i | −0.776357 | − | 0.630293i | \(-0.782935\pi\) | ||
0.776357 | − | 0.630293i | \(-0.217065\pi\) | |||||||
\(150\) | 4.31027e20 | − | 1.53819e20i | 0.915456 | − | 0.326696i | ||||
\(151\) | − | 2.65785e19i | − | 0.0529968i | −0.999649 | − | 0.0264984i | \(-0.991564\pi\) | ||
0.999649 | − | 0.0264984i | \(-0.00843569\pi\) | |||||||
\(152\) | 6.35485e19 | − | 3.88861e20i | 0.119012 | − | 0.728249i | ||||
\(153\) | −4.34887e20 | + | 1.20336e20i | −0.765258 | + | 0.211752i | ||||
\(154\) | −3.87449e19 | − | 2.52515e19i | −0.0640866 | − | 0.0417676i | ||||
\(155\) | 1.50794e18 | 0.00234548 | ||||||||
\(156\) | 1.20107e20 | − | 5.02055e20i | 0.175745 | − | 0.734628i | ||||
\(157\) | −9.61315e20 | −1.32379 | −0.661895 | − | 0.749596i | \(-0.730248\pi\) | ||||
−0.661895 | + | 0.749596i | \(0.730248\pi\) | |||||||
\(158\) | 1.00929e21 | + | 6.57790e20i | 1.30850 | + | 0.852796i | ||||
\(159\) | 7.88459e20 | − | 1.03626e21i | 0.962734 | − | 1.26531i | ||||
\(160\) | −1.40793e20 | + | 3.64929e19i | −0.161972 | + | 0.0419825i | ||||
\(161\) | 2.06740e19i | 0.0224171i | ||||||||
\(162\) | 3.68568e19 | − | 9.77426e20i | 0.0376812 | − | 0.999290i | ||||
\(163\) | 1.32096e21i | 1.27382i | 0.770938 | + | 0.636910i | \(0.219788\pi\) | ||||
−0.770938 | + | 0.636910i | \(0.780212\pi\) | |||||||
\(164\) | −5.62976e20 | + | 2.48448e20i | −0.512240 | + | 0.226057i | ||||
\(165\) | −1.37074e20 | + | 1.80154e20i | −0.117722 | + | 0.154720i | ||||
\(166\) | −6.97785e19 | + | 1.07065e20i | −0.0565841 | + | 0.0868204i | ||||
\(167\) | −1.48814e21 | −1.13982 | −0.569911 | − | 0.821706i | \(-0.693023\pi\) | ||||
−0.569911 | + | 0.821706i | \(0.693023\pi\) | |||||||
\(168\) | 6.60412e19 | − | 6.25661e19i | 0.0477944 | − | 0.0452794i | ||||
\(169\) | −6.27800e20 | −0.429435 | ||||||||
\(170\) | −1.12164e20 | + | 1.72100e20i | −0.0725420 | + | 0.111306i | ||||
\(171\) | 1.16264e21 | − | 3.21711e20i | 0.711185 | − | 0.196790i | ||||
\(172\) | −1.51501e21 | + | 6.68592e20i | −0.876790 | + | 0.386938i | ||||
\(173\) | − | 2.38352e21i | − | 1.30551i | −0.757569 | − | 0.652755i | \(-0.773613\pi\) | ||
0.757569 | − | 0.652755i | \(-0.226387\pi\) | |||||||
\(174\) | −6.83984e20 | − | 1.91664e21i | −0.354673 | − | 0.993853i | ||||
\(175\) | 1.30317e20i | 0.0639939i | ||||||||
\(176\) | −1.68340e21 | + | 1.84516e21i | −0.783097 | + | 0.858348i | ||||
\(177\) | 3.29331e21 | + | 2.50578e21i | 1.45173 | + | 1.10458i | ||||
\(178\) | −6.57732e20 | − | 4.28668e20i | −0.274827 | − | 0.179115i | ||||
\(179\) | 1.31050e20 | 0.0519197 | 0.0259598 | − | 0.999663i | \(-0.491736\pi\) | ||||
0.0259598 | + | 0.999663i | \(0.491736\pi\) | |||||||
\(180\) | −2.81919e20 | − | 3.44688e20i | −0.105934 | − | 0.129520i | ||||
\(181\) | 4.96217e21 | 1.76899 | 0.884495 | − | 0.466549i | \(-0.154503\pi\) | ||||
0.884495 | + | 0.466549i | \(0.154503\pi\) | |||||||
\(182\) | 1.23149e20 | + | 8.02607e19i | 0.0416632 | + | 0.0271534i | ||||
\(183\) | 2.73517e21 | + | 2.08111e21i | 0.878413 | + | 0.668358i | ||||
\(184\) | 1.10193e21 | + | 1.80080e20i | 0.336036 | + | 0.0549158i | ||||
\(185\) | 1.03812e21i | 0.300688i | ||||||||
\(186\) | 1.71207e19 | + | 4.79750e19i | 0.00471137 | + | 0.0132021i | ||||
\(187\) | 3.52770e21i | 0.922563i | ||||||||
\(188\) | 1.87717e21 | + | 4.25361e21i | 0.466663 | + | 1.05745i | ||||
\(189\) | 2.58604e20 | + | 1.03430e20i | 0.0611292 | + | 0.0244490i | ||||
\(190\) | 2.99864e20 | − | 4.60099e20i | 0.0674162 | − | 0.103441i | ||||
\(191\) | −2.82889e20 | −0.0605061 | −0.0302531 | − | 0.999542i | \(-0.509631\pi\) | ||||
−0.0302531 | + | 0.999542i | \(0.509631\pi\) | |||||||
\(192\) | −2.75954e21 | − | 4.06499e21i | −0.561662 | − | 0.827366i | ||||
\(193\) | −2.00625e21 | −0.388678 | −0.194339 | − | 0.980934i | \(-0.562256\pi\) | ||||
−0.194339 | + | 0.980934i | \(0.562256\pi\) | |||||||
\(194\) | −3.26217e21 | + | 5.00534e21i | −0.601713 | + | 0.923245i | ||||
\(195\) | 4.35684e20 | − | 5.72612e20i | 0.0765319 | − | 0.100585i | ||||
\(196\) | −2.40244e21 | − | 5.44385e21i | −0.401994 | − | 0.910907i | ||||
\(197\) | − | 1.12345e22i | − | 1.79112i | −0.444944 | − | 0.895558i | \(-0.646776\pi\) | ||
0.444944 | − | 0.895558i | \(-0.353224\pi\) | |||||||
\(198\) | −7.28790e21 | − | 2.31559e21i | −1.10735 | − | 0.351837i | ||||
\(199\) | 5.85898e21i | 0.848629i | 0.905515 | + | 0.424314i | \(0.139485\pi\) | ||||
−0.905515 | + | 0.424314i | \(0.860515\pi\) | |||||||
\(200\) | 6.94591e21 | + | 1.13512e21i | 0.959277 | + | 0.156767i | ||||
\(201\) | −8.14779e21 | + | 1.07085e22i | −1.07319 | + | 1.41048i | ||||
\(202\) | −1.18496e20 | − | 7.72282e19i | −0.0148890 | − | 0.00970371i | ||||
\(203\) | 5.79476e20 | 0.0694741 | ||||||||
\(204\) | −6.74885e21 | − | 1.61453e21i | −0.772224 | − | 0.184739i | ||||
\(205\) | −8.57698e20 | −0.0936856 | ||||||||
\(206\) | 3.78716e21 | + | 2.46824e21i | 0.394980 | + | 0.257423i | ||||
\(207\) | 9.11648e20 | + | 3.29463e21i | 0.0908048 | + | 0.328162i | ||||
\(208\) | 5.35060e21 | − | 5.86476e21i | 0.509097 | − | 0.558018i | ||||
\(209\) | − | 9.43106e21i | − | 0.857375i | ||||||
\(210\) | 1.19422e20 | − | 4.26177e19i | 0.0103753 | − | 0.00370260i | ||||
\(211\) | − | 1.96627e22i | − | 1.63290i | −0.577416 | − | 0.816450i | \(-0.695939\pi\) | ||
0.577416 | − | 0.816450i | \(-0.304061\pi\) | |||||||
\(212\) | 1.83201e22 | − | 8.08487e21i | 1.45458 | − | 0.641922i | ||||
\(213\) | 1.57901e21 | + | 1.20142e21i | 0.119889 | + | 0.0912200i | ||||
\(214\) | −3.78736e21 | + | 5.81117e21i | −0.275046 | + | 0.422020i | ||||
\(215\) | −2.30813e21 | −0.160360 | ||||||||
\(216\) | 7.76543e21 | − | 1.28827e22i | 0.516244 | − | 0.856442i | ||||
\(217\) | −1.45047e19 | −0.000922874 | ||||||||
\(218\) | −3.94551e21 | + | 6.05384e21i | −0.240307 | + | 0.368718i | ||||
\(219\) | 1.06026e22 | + | 8.06723e21i | 0.618293 | + | 0.470441i | ||||
\(220\) | −3.18495e21 | + | 1.40556e21i | −0.177864 | + | 0.0784934i | ||||
\(221\) | − | 1.12126e22i | − | 0.599765i | ||||||
\(222\) | −3.30278e22 | + | 1.17865e22i | −1.69249 | + | 0.603994i | ||||
\(223\) | − | 3.62267e22i | − | 1.77882i | −0.457107 | − | 0.889412i | \(-0.651114\pi\) | ||
0.457107 | − | 0.889412i | \(-0.348886\pi\) | |||||||
\(224\) | 1.35428e21 | − | 3.51023e20i | 0.0637311 | − | 0.0165189i | ||||
\(225\) | 5.74647e21 | + | 2.07673e22i | 0.259219 | + | 0.936800i | ||||
\(226\) | 2.28280e22 | + | 1.48779e22i | 0.987275 | + | 0.643444i | ||||
\(227\) | −4.56685e22 | −1.89396 | −0.946980 | − | 0.321292i | \(-0.895883\pi\) | ||||
−0.946980 | + | 0.321292i | \(0.895883\pi\) | |||||||
\(228\) | 1.80426e22 | + | 4.31633e21i | 0.717659 | + | 0.171685i | ||||
\(229\) | −3.55792e21 | −0.135756 | −0.0678780 | − | 0.997694i | \(-0.521623\pi\) | ||||
−0.0678780 | + | 0.997694i | \(0.521623\pi\) | |||||||
\(230\) | 1.30380e21 | + | 8.49737e20i | 0.0477307 | + | 0.0311079i | ||||
\(231\) | 1.31851e21 | − | 1.73289e21i | 0.0463200 | − | 0.0608776i | ||||
\(232\) | 5.04750e21 | − | 3.08862e22i | 0.170192 | − | 1.04143i | ||||
\(233\) | 1.58479e22i | 0.512967i | 0.966549 | + | 0.256483i | \(0.0825639\pi\) | ||||
−0.966549 | + | 0.256483i | \(0.917436\pi\) | |||||||
\(234\) | 2.31643e22 | + | 7.36000e21i | 0.719893 | + | 0.228732i | ||||
\(235\) | 6.48040e21i | 0.193400i | ||||||||
\(236\) | 2.56943e22 | + | 5.82226e22i | 0.736500 | + | 1.66889i | ||||
\(237\) | −3.43465e22 | + | 4.51411e22i | −0.945744 | + | 1.24298i | ||||
\(238\) | 1.07890e21 | − | 1.65542e21i | 0.0285431 | − | 0.0437954i | ||||
\(239\) | −3.32237e22 | −0.844633 | −0.422316 | − | 0.906449i | \(-0.638783\pi\) | ||||
−0.422316 | + | 0.906449i | \(0.638783\pi\) | |||||||
\(240\) | −1.23132e21 | − | 6.73644e21i | −0.0300859 | − | 0.164598i | ||||
\(241\) | −4.73070e21 | −0.111113 | −0.0555563 | − | 0.998456i | \(-0.517693\pi\) | ||||
−0.0555563 | + | 0.998456i | \(0.517693\pi\) | |||||||
\(242\) | −8.46291e21 | + | 1.29852e22i | −0.191106 | + | 0.293225i | ||||
\(243\) | 4.57722e22 | + | 5.07927e21i | 0.993899 | + | 0.110292i | ||||
\(244\) | 2.13397e22 | + | 4.83552e22i | 0.445641 | + | 1.00981i | ||||
\(245\) | − | 8.29375e21i | − | 0.166599i | ||||||
\(246\) | −9.73806e21 | − | 2.72877e22i | −0.188187 | − | 0.527331i | ||||
\(247\) | 2.99762e22i | 0.557386i | ||||||||
\(248\) | −1.26343e20 | + | 7.73107e20i | −0.00226079 | + | 0.0138340i | ||||
\(249\) | −4.78857e21 | − | 3.64348e21i | −0.0824731 | − | 0.0627513i | ||||
\(250\) | 1.66735e22 | + | 1.08667e22i | 0.276437 | + | 0.180164i | ||||
\(251\) | −1.95642e22 | −0.312292 | −0.156146 | − | 0.987734i | \(-0.549907\pi\) | ||||
−0.156146 | + | 0.987734i | \(0.549907\pi\) | |||||||
\(252\) | 2.71176e21 | + | 3.31554e21i | 0.0416818 | + | 0.0509623i | ||||
\(253\) | 2.67252e22 | 0.395618 | ||||||||
\(254\) | −1.85691e22 | − | 1.21022e22i | −0.264771 | − | 0.172561i | ||||
\(255\) | −7.69732e21 | − | 5.85666e21i | −0.105732 | − | 0.0804486i | ||||
\(256\) | −6.91326e21 | − | 7.52409e22i | −0.0914963 | − | 0.995805i | ||||
\(257\) | − | 9.32892e22i | − | 1.18978i | −0.803807 | − | 0.594890i | \(-0.797195\pi\) | ||
0.803807 | − | 0.594890i | \(-0.202805\pi\) | |||||||
\(258\) | −2.62059e22 | − | 7.34332e22i | −0.322115 | − | 0.902621i | ||||
\(259\) | − | 9.98562e21i | − | 0.118312i | ||||||
\(260\) | 1.01232e22 | − | 4.46750e21i | 0.115631 | − | 0.0510291i | ||||
\(261\) | 9.23456e22 | − | 2.55527e22i | 1.01702 | − | 0.281418i | ||||
\(262\) | −6.85919e21 | + | 1.05245e22i | −0.0728468 | + | 0.111773i | ||||
\(263\) | 9.71980e22 | 0.995583 | 0.497792 | − | 0.867297i | \(-0.334144\pi\) | ||||
0.497792 | + | 0.867297i | \(0.334144\pi\) | |||||||
\(264\) | −8.08788e22 | − | 8.53710e22i | −0.799093 | − | 0.843477i | ||||
\(265\) | 2.79108e22 | 0.266033 | ||||||||
\(266\) | −2.88437e21 | + | 4.42567e21i | −0.0265262 | + | 0.0407008i | ||||
\(267\) | 2.23829e22 | − | 2.94175e22i | 0.198637 | − | 0.261065i | ||||
\(268\) | −1.89316e23 | + | 8.35475e22i | −1.62147 | + | 0.715572i | ||||
\(269\) | − | 3.96926e22i | − | 0.328143i | −0.986448 | − | 0.164072i | \(-0.947537\pi\) | ||
0.986448 | − | 0.164072i | \(-0.0524628\pi\) | |||||||
\(270\) | 1.71519e22 | − | 1.20576e22i | 0.136885 | − | 0.0962291i | ||||
\(271\) | 1.06940e23i | 0.824012i | 0.911181 | + | 0.412006i | \(0.135172\pi\) | ||||
−0.911181 | + | 0.412006i | \(0.864828\pi\) | |||||||
\(272\) | −7.88368e22 | − | 7.19252e22i | −0.586576 | − | 0.535151i | ||||
\(273\) | −4.19082e21 | + | 5.50792e21i | −0.0301130 | + | 0.0395770i | ||||
\(274\) | −1.57685e23 | − | 1.02769e23i | −1.09436 | − | 0.713236i | ||||
\(275\) | 1.68459e23 | 1.12937 | ||||||||
\(276\) | −1.22314e22 | + | 5.11282e22i | −0.0792208 | + | 0.331149i | ||||
\(277\) | −1.31912e23 | −0.825517 | −0.412758 | − | 0.910841i | \(-0.635435\pi\) | ||||
−0.412758 | + | 0.910841i | \(0.635435\pi\) | |||||||
\(278\) | 1.76563e23 | + | 1.15073e23i | 1.06776 | + | 0.695900i | ||||
\(279\) | −2.31149e21 | + | 6.39605e20i | −0.0135099 | + | 0.00373828i | ||||
\(280\) | 1.92446e21 | + | 3.14500e20i | 0.0108720 | + | 0.00177672i | ||||
\(281\) | − | 8.12790e22i | − | 0.443883i | −0.975060 | − | 0.221941i | \(-0.928761\pi\) | ||
0.975060 | − | 0.221941i | \(-0.0712393\pi\) | |||||||
\(282\) | −2.06174e23 | + | 7.35766e22i | −1.08860 | + | 0.388484i | ||||
\(283\) | 2.76487e23i | 1.41157i | 0.708424 | + | 0.705787i | \(0.249407\pi\) | ||||
−0.708424 | + | 0.705787i | \(0.750593\pi\) | |||||||
\(284\) | 1.23194e22 | + | 2.79155e22i | 0.0608227 | + | 0.137823i | ||||
\(285\) | 2.05783e22 | + | 1.56574e22i | 0.0982613 | + | 0.0747641i | ||||
\(286\) | 1.03753e23 | − | 1.59194e23i | 0.479205 | − | 0.735273i | ||||
\(287\) | 8.25015e21 | 0.0368624 | ||||||||
\(288\) | 2.00340e23 | − | 1.15658e23i | 0.866041 | − | 0.499973i | ||||
\(289\) | 8.83471e22 | 0.369541 | ||||||||
\(290\) | 2.38174e22 | − | 3.65445e22i | 0.0964081 | − | 0.147925i | ||||
\(291\) | −2.23867e23 | − | 1.70334e23i | −0.877016 | − | 0.667295i | ||||
\(292\) | 8.27214e22 | + | 1.87444e23i | 0.313676 | + | 0.710781i | ||||
\(293\) | 4.02228e23i | 1.47649i | 0.674534 | + | 0.738244i | \(0.264345\pi\) | ||||
−0.674534 | + | 0.738244i | \(0.735655\pi\) | |||||||
\(294\) | 2.63866e23 | − | 9.41649e22i | 0.937742 | − | 0.334649i | ||||
\(295\) | 8.87025e22i | 0.305230i | ||||||||
\(296\) | −5.32236e23 | − | 8.69793e22i | −1.77351 | − | 0.289831i | ||||
\(297\) | 1.33704e23 | − | 3.34296e23i | 0.431477 | − | 1.07881i | ||||
\(298\) | 3.37875e23 | + | 2.20206e23i | 1.05609 | + | 0.688294i | ||||
\(299\) | −8.49449e22 | −0.257194 | ||||||||
\(300\) | −7.70992e22 | + | 3.22281e23i | −0.226151 | + | 0.945328i | ||||
\(301\) | 2.22018e22 | 0.0630966 | ||||||||
\(302\) | 1.61229e22 | + | 1.05079e22i | 0.0443995 | + | 0.0289368i | ||||
\(303\) | 4.03247e21 | − | 5.29981e21i | 0.0107613 | − | 0.0141435i | ||||
\(304\) | 2.10765e23 | + | 1.92287e23i | 0.545129 | + | 0.497338i | ||||
\(305\) | 7.36695e22i | 0.184688i | ||||||||
\(306\) | 9.89365e22 | − | 3.11385e23i | 0.240438 | − | 0.756735i | ||||
\(307\) | − | 3.36958e23i | − | 0.793893i | −0.917842 | − | 0.396946i | \(-0.870070\pi\) | ||
0.917842 | − | 0.396946i | \(-0.129930\pi\) | |||||||
\(308\) | 3.06359e22 | − | 1.35200e22i | 0.0699840 | − | 0.0308847i | ||||
\(309\) | −1.28879e23 | + | 1.69384e23i | −0.285481 | + | 0.375203i | ||||
\(310\) | −5.96169e20 | + | 9.14738e20i | −0.00128066 | + | 0.00196499i | ||||
\(311\) | −3.65250e23 | −0.760968 | −0.380484 | − | 0.924788i | \(-0.624243\pi\) | ||||
−0.380484 | + | 0.924788i | \(0.624243\pi\) | |||||||
\(312\) | 2.57070e23 | + | 2.71348e23i | 0.519497 | + | 0.548350i | ||||
\(313\) | 5.33848e22 | 0.104652 | 0.0523259 | − | 0.998630i | \(-0.483337\pi\) | ||||
0.0523259 | + | 0.998630i | \(0.483337\pi\) | |||||||
\(314\) | 3.80060e23 | − | 5.83149e23i | 0.722804 | − | 1.10904i | ||||
\(315\) | 1.59214e21 | + | 5.75388e21i | 0.00293786 | + | 0.0106172i | ||||
\(316\) | −7.98052e23 | + | 3.52190e23i | −1.42891 | + | 0.630593i | ||||
\(317\) | 8.83781e23i | 1.53561i | 0.640682 | + | 0.767806i | \(0.278652\pi\) | ||||
−0.640682 | + | 0.767806i | \(0.721348\pi\) | |||||||
\(318\) | 3.16891e23 | + | 8.87982e23i | 0.534383 | + | 1.49743i | ||||
\(319\) | − | 7.49085e23i | − | 1.22608i | ||||||
\(320\) | 3.35258e22 | − | 9.98348e22i | 0.0532666 | − | 0.158620i | ||||
\(321\) | −2.59909e23 | − | 1.97757e23i | −0.400889 | − | 0.305024i | ||||
\(322\) | −1.25412e22 | − | 8.17357e21i | −0.0187806 | − | 0.0122400i | ||||
\(323\) | 4.02954e23 | 0.585911 | ||||||||
\(324\) | 5.78351e23 | + | 4.08788e23i | 0.816609 | + | 0.577192i | ||||
\(325\) | −5.35441e23 | −0.734209 | ||||||||
\(326\) | −8.01317e23 | − | 5.22248e23i | −1.06718 | − | 0.695520i | ||||
\(327\) | −2.70763e23 | − | 2.06015e23i | −0.350255 | − | 0.266499i | ||||
\(328\) | 7.18626e22 | − | 4.39735e23i | 0.0903028 | − | 0.552573i | ||||
\(329\) | − | 6.23347e22i | − | 0.0760972i | ||||||
\(330\) | −5.50916e22 | − | 1.54376e23i | −0.0653436 | − | 0.183104i | ||||
\(331\) | − | 7.03929e23i | − | 0.811265i | −0.914036 | − | 0.405632i | \(-0.867051\pi\) | ||
0.914036 | − | 0.405632i | \(-0.132949\pi\) | |||||||
\(332\) | −3.73603e22 | − | 8.46575e22i | −0.0418407 | − | 0.0948098i | ||||
\(333\) | −4.40328e23 | − | 1.59131e24i | −0.479244 | − | 1.73195i | ||||
\(334\) | 5.88343e23 | − | 9.02730e23i | 0.622356 | − | 0.954918i | ||||
\(335\) | −2.88425e23 | −0.296556 | ||||||||
\(336\) | 1.18440e22 | + | 6.47974e22i | 0.0118379 | + | 0.0647641i | ||||
\(337\) | −6.78417e23 | −0.659193 | −0.329597 | − | 0.944122i | \(-0.606913\pi\) | ||||
−0.329597 | + | 0.944122i | \(0.606913\pi\) | |||||||
\(338\) | 2.48203e23 | − | 3.80834e23i | 0.234476 | − | 0.359771i | ||||
\(339\) | −7.76848e23 | + | 1.02100e24i | −0.713574 | + | 0.937840i | ||||
\(340\) | −6.00542e22 | − | 1.36081e23i | −0.0536406 | − | 0.121548i | ||||
\(341\) | 1.87502e22i | 0.0162869i | ||||||||
\(342\) | −2.64500e23 | + | 8.32467e23i | −0.223449 | + | 0.703265i | ||||
\(343\) | 1.59902e23i | 0.131389i | ||||||||
\(344\) | 1.93388e23 | − | 1.18336e24i | 0.154569 | − | 0.945828i | ||||
\(345\) | −4.43690e22 | + | 5.83135e22i | −0.0344984 | + | 0.0453407i | ||||
\(346\) | 1.44588e24 | + | 9.42334e23i | 1.09373 | + | 0.712823i | ||||
\(347\) | 1.77989e24 | 1.30998 | 0.654989 | − | 0.755638i | \(-0.272673\pi\) | ||||
0.654989 | + | 0.755638i | \(0.272673\pi\) | |||||||
\(348\) | 1.43308e24 | + | 3.42835e23i | 1.02628 | + | 0.245518i | ||||
\(349\) | 1.80906e24 | 1.26070 | 0.630349 | − | 0.776312i | \(-0.282912\pi\) | ||||
0.630349 | + | 0.776312i | \(0.282912\pi\) | |||||||
\(350\) | −7.90521e22 | − | 5.15212e22i | −0.0536126 | − | 0.0349414i | ||||
\(351\) | −4.24972e23 | + | 1.06255e24i | −0.280507 | + | 0.701342i | ||||
\(352\) | −4.53766e23 | − | 1.75067e24i | −0.291525 | − | 1.12473i | ||||
\(353\) | 9.95560e23i | 0.622598i | 0.950312 | + | 0.311299i | \(0.100764\pi\) | ||||
−0.950312 | + | 0.311299i | \(0.899236\pi\) | |||||||
\(354\) | −2.82207e24 | + | 1.00710e24i | −1.71805 | + | 0.613116i | ||||
\(355\) | 4.25294e22i | 0.0252069i | ||||||||
\(356\) | 5.20074e23 | − | 2.29515e23i | 0.300117 | − | 0.132445i | ||||
\(357\) | 7.40401e22 | + | 5.63349e22i | 0.0416024 | + | 0.0316541i | ||||
\(358\) | −5.18110e22 | + | 7.94968e22i | −0.0283487 | + | 0.0434972i | ||||
\(359\) | 1.38558e24 | 0.738302 | 0.369151 | − | 0.929369i | \(-0.379648\pi\) | ||||
0.369151 | + | 0.929369i | \(0.379648\pi\) | |||||||
\(360\) | 3.20551e23 | − | 3.47426e22i | 0.166350 | − | 0.0180297i | ||||
\(361\) | 9.01149e23 | 0.455489 | ||||||||
\(362\) | −1.96182e24 | + | 3.01013e24i | −0.965888 | + | 1.48202i | ||||
\(363\) | −5.80771e23 | − | 4.41891e23i | −0.278543 | − | 0.211935i | ||||
\(364\) | −9.73749e22 | + | 4.29727e22i | −0.0454971 | + | 0.0200784i | ||||
\(365\) | 2.85573e23i | 0.129998i | ||||||||
\(366\) | −2.34379e24 | + | 8.36422e23i | −1.03956 | + | 0.370984i | ||||
\(367\) | 2.69833e24i | 1.16619i | 0.812405 | + | 0.583093i | \(0.198158\pi\) | ||||
−0.812405 | + | 0.583093i | \(0.801842\pi\) | |||||||
\(368\) | −5.44893e23 | + | 5.97254e23i | −0.229486 | + | 0.251539i | ||||
\(369\) | 1.31475e24 | − | 3.63801e23i | 0.539626 | − | 0.149318i | ||||
\(370\) | −6.29740e23 | − | 4.10425e23i | −0.251910 | − | 0.164179i | ||||
\(371\) | −2.68472e23 | −0.104676 | ||||||||
\(372\) | −3.58711e22 | − | 8.58144e21i | −0.0136329 | − | 0.00326139i | ||||
\(373\) | 1.83267e24 | 0.678968 | 0.339484 | − | 0.940612i | \(-0.389748\pi\) | ||||
0.339484 | + | 0.940612i | \(0.389748\pi\) | |||||||
\(374\) | −2.13996e24 | − | 1.39469e24i | −0.772902 | − | 0.503729i | ||||
\(375\) | −5.67407e23 | + | 7.45734e23i | −0.199801 | + | 0.262595i | ||||
\(376\) | −3.32245e24 | − | 5.42963e23i | −1.14071 | − | 0.186417i | ||||
\(377\) | 2.38093e24i | 0.797085i | ||||||||
\(378\) | −1.64983e23 | + | 1.15982e23i | −0.0538600 | + | 0.0378632i | ||||
\(379\) | − | 3.11181e23i | − | 0.0990696i | −0.998772 | − | 0.0495348i | \(-0.984226\pi\) | ||
0.998772 | − | 0.0495348i | \(-0.0157739\pi\) | |||||||
\(380\) | 1.60551e23 | + | 3.63804e23i | 0.0498504 | + | 0.112960i | ||||
\(381\) | 6.31916e23 | − | 8.30517e23i | 0.191369 | − | 0.251514i | ||||
\(382\) | 1.11841e23 | − | 1.71605e23i | 0.0330370 | − | 0.0506907i | ||||
\(383\) | 2.30273e24 | 0.663521 | 0.331760 | − | 0.943364i | \(-0.392357\pi\) | ||||
0.331760 | + | 0.943364i | \(0.392357\pi\) | |||||||
\(384\) | 3.55689e24 | − | 6.68709e22i | 0.999823 | − | 0.0187971i | ||||
\(385\) | 4.66740e22 | 0.0127997 | ||||||||
\(386\) | 7.93178e23 | − | 1.21702e24i | 0.212222 | − | 0.325626i | ||||
\(387\) | 3.53809e24 | − | 9.79015e23i | 0.923666 | − | 0.255585i | ||||
\(388\) | −1.74661e24 | − | 3.95776e24i | −0.444932 | − | 1.00820i | ||||
\(389\) | − | 6.12097e24i | − | 1.52160i | −0.648989 | − | 0.760798i | \(-0.724808\pi\) | ||
0.648989 | − | 0.760798i | \(-0.275192\pi\) | |||||||
\(390\) | 1.75106e23 | + | 4.90677e23i | 0.0424804 | + | 0.119037i | ||||
\(391\) | 1.14187e24i | 0.270357i | ||||||||
\(392\) | 4.25214e24 | + | 6.94895e23i | 0.982630 | + | 0.160584i | ||||
\(393\) | −4.70715e23 | − | 3.58153e23i | −0.106177 | − | 0.0807866i | ||||
\(394\) | 6.81502e24 | + | 4.44160e24i | 1.50056 | + | 0.977970i | ||||
\(395\) | −1.21584e24 | −0.261338 | ||||||||
\(396\) | 4.28598e24 | − | 3.50548e24i | 0.899384 | − | 0.735602i | ||||
\(397\) | −7.03274e24 | −1.44084 | −0.720418 | − | 0.693540i | \(-0.756050\pi\) | ||||
−0.720418 | + | 0.693540i | \(0.756050\pi\) | |||||||
\(398\) | −3.55415e24 | − | 2.31637e24i | −0.710962 | − | 0.463361i | ||||
\(399\) | −1.97941e23 | − | 1.50608e23i | −0.0386628 | − | 0.0294174i | ||||
\(400\) | −3.43467e24 | + | 3.76473e24i | −0.655112 | + | 0.718065i | ||||
\(401\) | − | 1.81392e24i | − | 0.337868i | −0.985627 | − | 0.168934i | \(-0.945968\pi\) | ||
0.985627 | − | 0.168934i | \(-0.0540324\pi\) | |||||||
\(402\) | −3.27469e24 | − | 9.17624e24i | −0.595694 | − | 1.66923i | ||||
\(403\) | − | 5.95967e22i | − | 0.0105882i | ||||||
\(404\) | 9.36957e22 | − | 4.13490e22i | 0.0162591 | − | 0.00717533i | ||||
\(405\) | 5.07449e23 | + | 8.46734e23i | 0.0860140 | + | 0.143524i | ||||
\(406\) | −2.29098e23 | + | 3.51519e23i | −0.0379336 | + | 0.0582039i | ||||
\(407\) | −1.29084e25 | −2.08797 | ||||||||
\(408\) | 3.64759e24 | − | 3.45565e24i | 0.576413 | − | 0.546083i | ||||
\(409\) | −4.93635e24 | −0.762139 | −0.381069 | − | 0.924546i | \(-0.624444\pi\) | ||||
−0.381069 | + | 0.924546i | \(0.624444\pi\) | |||||||
\(410\) | 3.39095e23 | − | 5.20294e23i | 0.0511534 | − | 0.0784877i | ||||
\(411\) | 5.36610e24 | − | 7.05259e24i | 0.790973 | − | 1.03956i | ||||
\(412\) | −2.99454e24 | + | 1.32153e24i | −0.431327 | + | 0.190350i | ||||
\(413\) | − | 8.53225e23i | − | 0.120099i | ||||||
\(414\) | −2.35900e24 | − | 7.49526e23i | −0.324507 | − | 0.103106i | ||||
\(415\) | − | 1.28976e23i | − | 0.0173402i | ||||||
\(416\) | 1.44227e24 | + | 5.56442e24i | 0.189523 | + | 0.731195i | ||||
\(417\) | −6.00853e24 | + | 7.89692e24i | −0.771748 | + | 1.01430i | ||||
\(418\) | 5.72103e24 | + | 3.72861e24i | 0.718290 | + | 0.468136i | ||||
\(419\) | 1.64633e24 | 0.202061 | 0.101031 | − | 0.994883i | \(-0.467786\pi\) | ||||
0.101031 | + | 0.994883i | \(0.467786\pi\) | |||||||
\(420\) | −2.13614e22 | + | 8.92923e22i | −0.00256307 | + | 0.0107139i | ||||
\(421\) | 2.10940e24 | 0.247445 | 0.123723 | − | 0.992317i | \(-0.460517\pi\) | ||||
0.123723 | + | 0.992317i | \(0.460517\pi\) | |||||||
\(422\) | 1.19277e25 | + | 7.77373e24i | 1.36801 | + | 0.891581i | ||||
\(423\) | −2.74872e24 | − | 9.93369e24i | −0.308246 | − | 1.11398i | ||||
\(424\) | −2.33852e24 | + | 1.43096e25i | −0.256428 | + | 1.56911i | ||||
\(425\) | 7.19765e24i | 0.771784i | ||||||||
\(426\) | −1.35307e24 | + | 4.82867e23i | −0.141883 | + | 0.0506333i | ||||
\(427\) | − | 7.08622e23i | − | 0.0726692i | ||||||
\(428\) | −2.02780e24 | − | 4.59495e24i | −0.203381 | − | 0.460855i | ||||
\(429\) | 7.12006e24 | + | 5.41744e24i | 0.698456 | + | 0.531435i | ||||
\(430\) | 9.12530e23 | − | 1.40015e24i | 0.0875582 | − | 0.134346i | ||||
\(431\) | −2.24329e24 | −0.210548 | −0.105274 | − | 0.994443i | \(-0.533572\pi\) | ||||
−0.105274 | + | 0.994443i | \(0.533572\pi\) | |||||||
\(432\) | 4.74478e24 | + | 9.80388e24i | 0.435633 | + | 0.900124i | ||||
\(433\) | 8.24231e24 | 0.740311 | 0.370155 | − | 0.928970i | \(-0.379304\pi\) | ||||
0.370155 | + | 0.928970i | \(0.379304\pi\) | |||||||
\(434\) | 5.73451e21 | − | 8.79881e21i | 0.000503900 | − | 0.000773164i | ||||
\(435\) | 1.63448e24 | + | 1.24363e24i | 0.140518 | + | 0.106916i | ||||
\(436\) | −2.11248e24 | − | 4.78682e24i | −0.177693 | − | 0.402648i | ||||
\(437\) | − | 3.05271e24i | − | 0.251253i | ||||||
\(438\) | −9.08551e24 | + | 3.24231e24i | −0.731720 | + | 0.261127i | ||||
\(439\) | − | 2.08198e24i | − | 0.164083i | −0.996629 | − | 0.0820416i | \(-0.973856\pi\) | ||
0.996629 | − | 0.0820416i | \(-0.0261441\pi\) | |||||||
\(440\) | 4.06552e23 | − | 2.48774e24i | 0.0313556 | − | 0.191869i | ||||
\(441\) | 3.51787e24 | + | 1.27133e25i | 0.265530 | + | 0.959606i | ||||
\(442\) | 6.80176e24 | + | 4.43296e24i | 0.502470 | + | 0.327478i | ||||
\(443\) | −8.96640e24 | −0.648310 | −0.324155 | − | 0.946004i | \(-0.605080\pi\) | ||||
−0.324155 | + | 0.946004i | \(0.605080\pi\) | |||||||
\(444\) | 5.90779e24 | − | 2.46950e25i | 0.418106 | − | 1.74772i | ||||
\(445\) | 7.92337e23 | 0.0548895 | ||||||||
\(446\) | 2.19757e25 | + | 1.43224e25i | 1.49026 | + | 0.971258i | ||||
\(447\) | −1.14980e25 | + | 1.51117e25i | −0.763313 | + | 1.00321i | ||||
\(448\) | −3.22483e23 | + | 9.60305e23i | −0.0209588 | + | 0.0624120i | ||||
\(449\) | − | 2.29238e25i | − | 1.45863i | −0.684177 | − | 0.729316i | \(-0.739838\pi\) | ||
0.684177 | − | 0.729316i | \(-0.260162\pi\) | |||||||
\(450\) | −1.48697e25 | − | 4.72455e24i | −0.926367 | − | 0.294335i | ||||
\(451\) | − | 1.06649e25i | − | 0.650550i | ||||||
\(452\) | −1.80503e25 | + | 7.96581e24i | −1.07813 | + | 0.475790i | ||||
\(453\) | −5.48672e23 | + | 7.21111e23i | −0.0320907 | + | 0.0421763i | ||||
\(454\) | 1.80552e25 | − | 2.77032e25i | 1.03412 | − | 1.58672i | ||||
\(455\) | −1.48351e23 | −0.00832115 | ||||||||
\(456\) | −9.75158e24 | + | 9.23846e24i | −0.535684 | + | 0.507497i | ||||
\(457\) | −1.71001e25 | −0.920017 | −0.460008 | − | 0.887915i | \(-0.652154\pi\) | ||||
−0.460008 | + | 0.887915i | \(0.652154\pi\) | |||||||
\(458\) | 1.40664e24 | − | 2.15829e24i | 0.0741243 | − | 0.113733i | ||||
\(459\) | 1.42832e25 | + | 5.71267e24i | 0.737235 | + | 0.294862i | ||||
\(460\) | −1.03093e24 | + | 4.54961e23i | −0.0521230 | + | 0.0230025i | ||||
\(461\) | − | 1.15583e24i | − | 0.0572445i | −0.999590 | − | 0.0286223i | \(-0.990888\pi\) | ||
0.999590 | − | 0.0286223i | \(-0.00911199\pi\) | |||||||
\(462\) | 5.29923e23 | + | 1.48493e24i | 0.0257107 | + | 0.0720457i | ||||
\(463\) | 2.05103e25i | 0.974884i | 0.873155 | + | 0.487442i | \(0.162070\pi\) | ||||
−0.873155 | + | 0.487442i | \(0.837930\pi\) | |||||||
\(464\) | 1.67405e25 | + | 1.52729e25i | 0.779558 | + | 0.711214i | ||||
\(465\) | −4.09123e22 | − | 3.11290e22i | −0.00186660 | − | 0.00142024i | ||||
\(466\) | −9.61357e24 | − | 6.26552e24i | −0.429752 | − | 0.280086i | ||||
\(467\) | 3.47342e25 | 1.52141 | 0.760705 | − | 0.649098i | \(-0.224853\pi\) | ||||
0.760705 | + | 0.649098i | \(0.224853\pi\) | |||||||
\(468\) | −1.36228e25 | + | 1.11420e25i | −0.584696 | + | 0.478221i | ||||
\(469\) | 2.77434e24 | 0.116686 | ||||||||
\(470\) | −3.93112e24 | − | 2.56206e24i | −0.162027 | − | 0.105599i | ||||
\(471\) | 2.60818e25 | + | 1.98448e25i | 1.05351 | + | 0.801584i | ||||
\(472\) | −4.54771e25 | − | 7.43197e24i | −1.80030 | − | 0.294209i | ||||
\(473\) | − | 2.87001e25i | − | 1.11353i | ||||||
\(474\) | −1.38043e25 | − | 3.86819e25i | −0.524952 | − | 1.47100i | ||||
\(475\) | − | 1.92424e25i | − | 0.717250i | ||||||
\(476\) | 5.77658e23 | + | 1.30896e24i | 0.0211060 | + | 0.0478255i | ||||
\(477\) | −4.27839e25 | + | 1.18386e25i | −1.53234 | + | 0.424010i | ||||
\(478\) | 1.31351e25 | − | 2.01540e25i | 0.461179 | − | 0.707614i | ||||
\(479\) | −3.81112e25 | −1.31179 | −0.655897 | − | 0.754851i | \(-0.727709\pi\) | ||||
−0.655897 | + | 0.754851i | \(0.727709\pi\) | |||||||
\(480\) | 4.57324e24 | + | 1.91634e24i | 0.154323 | + | 0.0646669i | ||||
\(481\) | 4.10286e25 | 1.35740 | ||||||||
\(482\) | 1.87030e24 | − | 2.86972e24i | 0.0606687 | − | 0.0930877i | ||||
\(483\) | 4.26783e23 | − | 5.60915e23i | 0.0135741 | − | 0.0178402i | ||||
\(484\) | −4.53115e24 | − | 1.02675e25i | −0.141312 | − | 0.320208i | ||||
\(485\) | − | 6.02968e24i | − | 0.184394i | ||||||
\(486\) | −2.11774e25 | + | 2.57580e25i | −0.635080 | + | 0.772446i | ||||
\(487\) | 3.06094e25i | 0.900181i | 0.892983 | + | 0.450090i | \(0.148608\pi\) | ||||
−0.892983 | + | 0.450090i | \(0.851392\pi\) | |||||||
\(488\) | −3.77698e25 | − | 6.17242e24i | −1.08932 | − | 0.178019i | ||||
\(489\) | 2.72692e25 | − | 3.58395e25i | 0.771327 | − | 1.01374i | ||||
\(490\) | 5.03112e24 | + | 3.27897e24i | 0.139573 | + | 0.0909651i | ||||
\(491\) | 4.49189e25 | 1.22224 | 0.611118 | − | 0.791540i | \(-0.290720\pi\) | ||||
0.611118 | + | 0.791540i | \(0.290720\pi\) | |||||||
\(492\) | 2.04031e25 | + | 4.88104e24i | 0.544538 | + | 0.130270i | ||||
\(493\) | 3.20056e25 | 0.837877 | ||||||||
\(494\) | −1.81840e25 | − | 1.18512e25i | −0.466965 | − | 0.304339i | ||||
\(495\) | 7.43800e24 | − | 2.05815e24i | 0.187373 | − | 0.0518474i | ||||
\(496\) | −4.19029e23 | − | 3.82293e23i | −0.0103554 | − | 0.00944757i | ||||
\(497\) | − | 4.09088e23i | − | 0.00991816i | ||||||
\(498\) | 4.10338e24 | − | 1.46436e24i | 0.0976029 | − | 0.0348312i | ||||
\(499\) | − | 4.70048e25i | − | 1.09695i | −0.836167 | − | 0.548475i | \(-0.815209\pi\) | ||
0.836167 | − | 0.548475i | \(-0.184791\pi\) | |||||||
\(500\) | −1.31839e25 | + | 5.81819e24i | −0.301875 | + | 0.133221i | ||||
\(501\) | 4.03753e25 | + | 3.07203e25i | 0.907104 | + | 0.690188i | ||||
\(502\) | 7.73478e24 | − | 1.18679e25i | 0.170515 | − | 0.261631i | ||||
\(503\) | −6.29782e25 | −1.36237 | −0.681184 | − | 0.732112i | \(-0.738535\pi\) | ||||
−0.681184 | + | 0.732112i | \(0.738535\pi\) | |||||||
\(504\) | −3.08337e24 | + | 3.34187e23i | −0.0654538 | + | 0.00709413i | ||||
\(505\) | 1.42746e23 | 0.00297369 | ||||||||
\(506\) | −1.05659e25 | + | 1.62119e25i | −0.216012 | + | 0.331440i | ||||
\(507\) | 1.70331e25 | + | 1.29600e25i | 0.341757 | + | 0.260033i | ||||
\(508\) | 1.46828e25 | − | 6.47967e24i | 0.289136 | − | 0.127599i | ||||
\(509\) | 4.90714e25i | 0.948439i | 0.880407 | + | 0.474219i | \(0.157270\pi\) | ||||
−0.880407 | + | 0.474219i | \(0.842730\pi\) | |||||||
\(510\) | 6.59591e24 | − | 2.35386e24i | 0.125129 | − | 0.0446544i | ||||
\(511\) | − | 2.74691e24i | − | 0.0511501i | ||||||
\(512\) | 4.83755e25 | + | 2.55531e25i | 0.884222 | + | 0.467067i | ||||
\(513\) | −3.81853e25 | − | 1.52724e25i | −0.685142 | − | 0.274027i | ||||
\(514\) | 5.65907e25 | + | 3.68823e25i | 0.996772 | + | 0.649633i | ||||
\(515\) | −4.56221e24 | −0.0788872 | ||||||||
\(516\) | 5.49064e25 | + | 1.31352e25i | 0.932074 | + | 0.222980i | ||||
\(517\) | −8.05796e25 | −1.34297 | ||||||||
\(518\) | 6.05744e24 | + | 3.94786e24i | 0.0991188 | + | 0.0645995i | ||||
\(519\) | −4.92040e25 | + | 6.46680e25i | −0.790515 | + | 1.03896i | ||||
\(520\) | −1.29221e24 | + | 7.90717e24i | −0.0203845 | + | 0.124735i | ||||
\(521\) | 6.46908e25i | 1.00204i | 0.865436 | + | 0.501019i | \(0.167041\pi\) | ||||
−0.865436 | + | 0.501019i | \(0.832959\pi\) | |||||||
\(522\) | −2.10086e25 | + | 6.61207e25i | −0.319541 | + | 1.00570i | ||||
\(523\) | 1.88568e25i | 0.281646i | 0.990035 | + | 0.140823i | \(0.0449748\pi\) | ||||
−0.990035 | + | 0.140823i | \(0.955025\pi\) | |||||||
\(524\) | −3.67250e24 | − | 8.32179e24i | −0.0538660 | − | 0.122059i | ||||
\(525\) | 2.69018e24 | − | 3.53567e24i | 0.0387497 | − | 0.0509281i | ||||
\(526\) | −3.84276e25 | + | 5.89618e25i | −0.543600 | + | 0.834078i | ||||
\(527\) | −8.01126e23 | −0.0111301 | ||||||||
\(528\) | 8.37632e25 | − | 1.53106e25i | 1.14296 | − | 0.208915i | ||||
\(529\) | −6.59649e25 | −0.884064 | ||||||||
\(530\) | −1.10346e25 | + | 1.69311e25i | −0.145257 | + | 0.222877i | ||||
\(531\) | −3.76240e25 | − | 1.35970e26i | −0.486482 | − | 1.75811i | ||||
\(532\) | −1.54433e24 | − | 3.49941e24i | −0.0196146 | − | 0.0444462i | ||||
\(533\) | 3.38980e25i | 0.422927i | ||||||||
\(534\) | 8.99596e24 | + | 2.52082e25i | 0.110257 | + | 0.308958i | ||||
\(535\) | − | 7.00043e24i | − | 0.0842877i | ||||||
\(536\) | 2.41658e25 | − | 1.47873e26i | 0.285848 | − | 1.74914i | ||||
\(537\) | −3.55555e24 | − | 2.70531e24i | −0.0413192 | − | 0.0314385i | ||||
\(538\) | 2.40782e25 | + | 1.56927e25i | 0.274911 | + | 0.179170i | ||||
\(539\) | 1.03127e26 | 1.15686 | ||||||||
\(540\) | 5.33292e23 | + | 1.51716e25i | 0.00587793 | + | 0.167221i | ||||
\(541\) | 3.92152e25 | 0.424698 | 0.212349 | − | 0.977194i | \(-0.431889\pi\) | ||||
0.212349 | + | 0.977194i | \(0.431889\pi\) | |||||||
\(542\) | −6.48718e25 | − | 4.22794e25i | −0.690339 | − | 0.449920i | ||||
\(543\) | −1.34630e26 | − | 1.02436e26i | −1.40781 | − | 1.07116i | ||||
\(544\) | 7.47995e25 | − | 1.93877e25i | 0.768615 | − | 0.199222i | ||||
\(545\) | − | 7.29276e24i | − | 0.0736420i | ||||||
\(546\) | −1.68434e24 | − | 4.71980e24i | −0.0167147 | − | 0.0468375i | ||||
\(547\) | − | 2.04234e25i | − | 0.199181i | −0.995028 | − | 0.0995906i | \(-0.968247\pi\) | ||
0.995028 | − | 0.0995906i | \(-0.0317533\pi\) | |||||||
\(548\) | 1.24683e26 | − | 5.50241e25i | 1.19507 | − | 0.527397i | ||||
\(549\) | −3.12476e25 | − | 1.12927e26i | −0.294360 | − | 1.06380i | ||||
\(550\) | −6.66012e25 | + | 1.02190e26i | −0.616647 | + | 0.946158i | ||||
\(551\) | −8.55649e25 | −0.778673 | ||||||||
\(552\) | −2.61794e25 | − | 2.76335e25i | −0.234174 | − | 0.247181i | ||||
\(553\) | 1.16951e25 | 0.102829 | ||||||||
\(554\) | 5.21519e25 | − | 8.00198e25i | 0.450741 | − | 0.691600i | ||||
\(555\) | 2.14304e25 | − | 2.81656e25i | 0.182073 | − | 0.239296i | ||||
\(556\) | −1.39610e26 | + | 6.16115e25i | −1.16602 | + | 0.514578i | ||||
\(557\) | 1.45829e25i | 0.119735i | 0.998206 | + | 0.0598675i | \(0.0190678\pi\) | ||||
−0.998206 | + | 0.0598675i | \(0.980932\pi\) | |||||||
\(558\) | 5.25861e23 | − | 1.65505e24i | 0.00424469 | − | 0.0133594i | ||||
\(559\) | 9.12221e25i | 0.723915i | ||||||||
\(560\) | −9.51624e23 | + | 1.04307e24i | −0.00742470 | + | 0.00813817i | ||||
\(561\) | 7.28237e25 | − | 9.57111e25i | 0.558632 | − | 0.734202i | ||||
\(562\) | 4.93051e25 | + | 3.21340e25i | 0.371875 | + | 0.242365i | ||||
\(563\) | 2.18815e26 | 1.62273 | 0.811367 | − | 0.584537i | \(-0.198724\pi\) | ||||
0.811367 | + | 0.584537i | \(0.198724\pi\) | |||||||
\(564\) | 3.68790e25 | − | 1.54157e26i | 0.268923 | − | 1.12412i | ||||
\(565\) | −2.74998e25 | −0.197183 | ||||||||
\(566\) | −1.67722e26 | − | 1.09310e26i | −1.18259 | − | 0.770735i | ||||
\(567\) | −4.88112e24 | − | 8.14469e24i | −0.0338439 | − | 0.0564723i | ||||
\(568\) | −2.18045e25 | − | 3.56334e24i | −0.148675 | − | 0.0242968i | ||||
\(569\) | 7.86187e25i | 0.527181i | 0.964635 | + | 0.263590i | \(0.0849067\pi\) | ||||
−0.964635 | + | 0.263590i | \(0.915093\pi\) | |||||||
\(570\) | −1.76337e25 | + | 6.29289e24i | −0.116287 | + | 0.0414991i | ||||
\(571\) | − | 1.60868e26i | − | 1.04334i | −0.853147 | − | 0.521670i | \(-0.825309\pi\) | ||
0.853147 | − | 0.521670i | \(-0.174691\pi\) | |||||||
\(572\) | 5.55505e25 | + | 1.25876e26i | 0.354344 | + | 0.802935i | ||||
\(573\) | 7.67517e24 | + | 5.83981e24i | 0.0481525 | + | 0.0366378i | ||||
\(574\) | −3.26173e24 | + | 5.00468e24i | −0.0201273 | + | 0.0308825i | ||||
\(575\) | 5.45281e25 | 0.330960 | ||||||||
\(576\) | −9.04527e24 | + | 1.67255e26i | −0.0540018 | + | 0.998541i | ||||
\(577\) | −6.45604e25 | −0.379137 | −0.189568 | − | 0.981868i | \(-0.560709\pi\) | ||||
−0.189568 | + | 0.981868i | \(0.560709\pi\) | |||||||
\(578\) | −3.49284e25 | + | 5.35928e25i | −0.201774 | + | 0.309593i | ||||
\(579\) | 5.44322e25 | + | 4.14158e25i | 0.309321 | + | 0.235353i | ||||
\(580\) | 1.27522e25 | + | 2.88960e25i | 0.0712882 | + | 0.161537i | ||||
\(581\) | 1.24062e24i | 0.00682282i | ||||||||
\(582\) | 1.91834e26 | − | 6.84593e25i | 1.03791 | − | 0.370394i | ||||
\(583\) | 3.47052e26i | 1.84733i | ||||||||
\(584\) | −1.46411e26 | − | 2.39268e25i | −0.766747 | − | 0.125304i | ||||
\(585\) | −2.36414e25 | + | 6.54174e24i | −0.121812 | + | 0.0337064i | ||||
\(586\) | −2.43998e26 | − | 1.59023e26i | −1.23697 | − | 0.806179i | ||||
\(587\) | −5.64798e25 | −0.281729 | −0.140864 | − | 0.990029i | \(-0.544988\pi\) | ||||
−0.140864 | + | 0.990029i | \(0.544988\pi\) | |||||||
\(588\) | −4.71985e25 | + | 1.97294e26i | −0.231656 | + | 0.968341i | ||||
\(589\) | 2.14176e24 | 0.0103437 | ||||||||
\(590\) | −5.38084e25 | − | 3.50689e25i | −0.255715 | − | 0.166659i | ||||
\(591\) | −2.31918e26 | + | 3.04807e26i | −1.08456 | + | 1.42542i | ||||
\(592\) | 2.63185e26 | − | 2.88475e26i | 1.21117 | − | 1.32756i | ||||
\(593\) | 1.43550e26i | 0.650106i | 0.945696 | + | 0.325053i | \(0.105382\pi\) | ||||
−0.945696 | + | 0.325053i | \(0.894618\pi\) | |||||||
\(594\) | 1.49929e26 | + | 2.13272e26i | 0.668212 | + | 0.950524i | ||||
\(595\) | 1.99421e24i | 0.00874700i | ||||||||
\(596\) | −2.67161e26 | + | 1.17901e26i | −1.15328 | + | 0.508954i | ||||
\(597\) | 1.20949e26 | − | 1.58962e26i | 0.513863 | − | 0.675363i | ||||
\(598\) | 3.35833e25 | − | 5.15290e25i | 0.140431 | − | 0.215472i | ||||
\(599\) | −1.76276e26 | −0.725501 | −0.362750 | − | 0.931886i | \(-0.618162\pi\) | ||||
−0.362750 | + | 0.931886i | \(0.618162\pi\) | |||||||
\(600\) | −1.65019e26 | − | 1.74185e26i | −0.668494 | − | 0.705624i | ||||
\(601\) | 2.14668e26 | 0.855972 | 0.427986 | − | 0.903785i | \(-0.359223\pi\) | ||||
0.427986 | + | 0.903785i | \(0.359223\pi\) | |||||||
\(602\) | −8.77757e24 | + | 1.34680e25i | −0.0344515 | + | 0.0528610i | ||||
\(603\) | 4.42121e26 | − | 1.22338e26i | 1.70815 | − | 0.472658i | ||||
\(604\) | −1.27486e25 | + | 5.62608e24i | −0.0484853 | + | 0.0213971i | ||||
\(605\) | − | 1.56426e25i | − | 0.0585642i | ||||||
\(606\) | 1.62070e24 | + | 4.54147e24i | 0.00597327 | + | 0.0167381i | ||||
\(607\) | 1.97225e26i | 0.715600i | 0.933798 | + | 0.357800i | \(0.116473\pi\) | ||||
−0.933798 | + | 0.357800i | \(0.883527\pi\) | |||||||
\(608\) | −1.99971e26 | + | 5.18318e25i | −0.714305 | + | 0.185145i | ||||
\(609\) | −1.57220e25 | − | 1.19624e25i | −0.0552895 | − | 0.0420681i | ||||
\(610\) | −4.46891e25 | − | 2.91255e25i | −0.154728 | − | 0.100842i | ||||
\(611\) | 2.56119e26 | 0.873072 | ||||||||
\(612\) | 1.49776e26 | + | 1.83124e26i | 0.502694 | + | 0.614620i | ||||
\(613\) | 2.42812e26 | 0.802407 | 0.401204 | − | 0.915989i | \(-0.368592\pi\) | ||||
0.401204 | + | 0.915989i | \(0.368592\pi\) | |||||||
\(614\) | 2.04404e26 | + | 1.33218e26i | 0.665106 | + | 0.433474i | ||||
\(615\) | 2.32705e25 | + | 1.77058e25i | 0.0745577 | + | 0.0567287i | ||||
\(616\) | −3.91060e24 | + | 2.39294e25i | −0.0123375 | + | 0.0754945i | ||||
\(617\) | 1.46373e26i | 0.454728i | 0.973810 | + | 0.227364i | \(0.0730107\pi\) | ||||
−0.973810 | + | 0.227364i | \(0.926989\pi\) | |||||||
\(618\) | −5.17980e25 | − | 1.45147e26i | −0.158461 | − | 0.444034i | ||||
\(619\) | − | 2.35859e26i | − | 0.710546i | −0.934763 | − | 0.355273i | \(-0.884388\pi\) | ||
0.934763 | − | 0.355273i | \(-0.115612\pi\) | |||||||
\(620\) | −3.19197e23 | − | 7.23291e23i | −0.000946972 | − | 0.00214581i | ||||
\(621\) | 4.32782e25 | − | 1.08207e26i | 0.126444 | − | 0.316145i | ||||
\(622\) | 1.44403e26 | − | 2.21566e26i | 0.415497 | − | 0.637522i | ||||
\(623\) | −7.62144e24 | −0.0215974 | ||||||||
\(624\) | −2.66238e26 | + | 4.86641e25i | −0.743047 | + | 0.135817i | ||||
\(625\) | 3.33527e26 | 0.916791 | ||||||||
\(626\) | −2.11059e25 | + | 3.23841e25i | −0.0571410 | + | 0.0876749i | ||||
\(627\) | −1.94689e26 | + | 2.55877e26i | −0.519159 | + | 0.682323i | ||||
\(628\) | 2.03489e26 | + | 4.61101e26i | 0.534472 | + | 1.21110i | ||||
\(629\) | − | 5.51526e26i | − | 1.42687i | ||||||
\(630\) | −4.11985e24 | − | 1.30900e24i | −0.0104990 | − | 0.00333584i | ||||
\(631\) | − | 4.57885e26i | − | 1.14942i | −0.818358 | − | 0.574709i | \(-0.805115\pi\) | ||
0.818358 | − | 0.574709i | \(-0.194885\pi\) | |||||||
\(632\) | 1.01869e26 | − | 6.23351e26i | 0.251902 | − | 1.54142i | ||||
\(633\) | −4.05905e26 | + | 5.33475e26i | −0.988757 | + | 1.29951i | ||||
\(634\) | −5.36116e26 | − | 3.49407e26i | −1.28650 | − | 0.838461i | ||||
\(635\) | 2.23693e25 | 0.0528812 | ||||||||
\(636\) | −6.63948e26 | − | 1.58836e26i | −1.54629 | − | 0.369919i | ||||
\(637\) | −3.27786e26 | −0.752083 | ||||||||
\(638\) | 4.54407e26 | + | 2.96154e26i | 1.02718 | + | 0.669454i | ||||
\(639\) | −1.80392e25 | − | 6.51925e25i | −0.0401754 | − | 0.145191i | ||||
\(640\) | 4.73068e25 | + | 5.98074e25i | 0.103804 | + | 0.131234i | ||||
\(641\) | − | 1.60151e26i | − | 0.346240i | −0.984901 | − | 0.173120i | \(-0.944615\pi\) | ||
0.984901 | − | 0.173120i | \(-0.0553849\pi\) | |||||||
\(642\) | 2.22719e26 | − | 7.94809e25i | 0.474432 | − | 0.169309i | ||||
\(643\) | − | 4.12025e26i | − | 0.864808i | −0.901680 | − | 0.432404i | \(-0.857665\pi\) | ||
0.901680 | − | 0.432404i | \(-0.142335\pi\) | |||||||
\(644\) | 9.91644e24 | − | 4.37624e24i | 0.0205088 | − | 0.00905077i | ||||
\(645\) | 6.26227e25 | + | 4.76478e25i | 0.127619 | + | 0.0971013i | ||||
\(646\) | −1.59310e26 | + | 2.44438e26i | −0.319914 | + | 0.490863i | ||||
\(647\) | −5.68812e26 | −1.12558 | −0.562792 | − | 0.826599i | \(-0.690273\pi\) | ||||
−0.562792 | + | 0.826599i | \(0.690273\pi\) | |||||||
\(648\) | −4.76631e26 | + | 1.89221e26i | −0.929436 | + | 0.368983i | ||||
\(649\) | −1.10296e27 | −2.11951 | ||||||||
\(650\) | 2.11689e26 | − | 3.24807e26i | 0.400886 | − | 0.615104i | ||||
\(651\) | 3.93533e23 | + | 2.99428e23i | 0.000734450 | + | 0.000558821i | ||||
\(652\) | 6.33608e26 | − | 2.79619e26i | 1.16538 | − | 0.514297i | ||||
\(653\) | 1.62140e26i | 0.293910i | 0.989143 | + | 0.146955i | \(0.0469473\pi\) | ||||
−0.989143 | + | 0.146955i | \(0.953053\pi\) | |||||||
\(654\) | 2.32019e26 | − | 8.27999e25i | 0.414510 | − | 0.147925i | ||||
\(655\) | − | 1.26783e25i | − | 0.0223238i | ||||||
\(656\) | 2.38339e26 | + | 2.17444e26i | 0.413627 | + | 0.377365i | ||||
\(657\) | −1.21128e26 | − | 4.37750e26i | −0.207193 | − | 0.748781i | ||||
\(658\) | 3.78132e25 | + | 2.46443e25i | 0.0637525 | + | 0.0415499i | ||||
\(659\) | 6.93628e26 | 1.15270 | 0.576349 | − | 0.817204i | \(-0.304477\pi\) | ||||
0.576349 | + | 0.817204i | \(0.304477\pi\) | |||||||
\(660\) | 1.15428e26 | + | 2.76137e25i | 0.189079 | + | 0.0452332i | ||||
\(661\) | 2.43161e26 | 0.392626 | 0.196313 | − | 0.980541i | \(-0.437103\pi\) | ||||
0.196313 | + | 0.980541i | \(0.437103\pi\) | |||||||
\(662\) | 4.27014e26 | + | 2.78301e26i | 0.679660 | + | 0.442960i | ||||
\(663\) | −2.31467e26 | + | 3.04214e26i | −0.363171 | + | 0.477310i | ||||
\(664\) | 6.61251e25 | + | 1.08063e25i | 0.102275 | + | 0.0167140i | ||||
\(665\) | − | 5.33138e24i | − | 0.00812894i | ||||||
\(666\) | 1.13940e27 | + | 3.62023e26i | 1.71266 | + | 0.544165i | ||||
\(667\) | − | 2.42469e26i | − | 0.359303i | ||||||
\(668\) | 3.15006e26 | + | 7.13796e26i | 0.460196 | + | 1.04279i | ||||
\(669\) | −7.47844e26 | + | 9.82880e26i | −1.07712 | + | 1.41564i | ||||
\(670\) | 1.14030e26 | − | 1.74963e26i | 0.161923 | − | 0.248448i | ||||
\(671\) | −9.16032e26 | −1.28247 | ||||||||
\(672\) | −4.39897e25 | − | 1.84332e25i | −0.0607216 | − | 0.0254444i | ||||
\(673\) | 3.69858e26 | 0.503375 | 0.251688 | − | 0.967809i | \(-0.419014\pi\) | ||||
0.251688 | + | 0.967809i | \(0.419014\pi\) | |||||||
\(674\) | 2.68215e26 | − | 4.11539e26i | 0.359927 | − | 0.552257i | ||||
\(675\) | 2.72800e26 | − | 6.82073e26i | 0.360959 | − | 0.902495i | ||||
\(676\) | 1.32891e26 | + | 3.01128e26i | 0.173382 | + | 0.392878i | ||||
\(677\) | − | 3.74701e26i | − | 0.482051i | −0.970519 | − | 0.241026i | \(-0.922516\pi\) | ||
0.970519 | − | 0.241026i | \(-0.0774838\pi\) | |||||||
\(678\) | −3.12225e26 | − | 8.74905e26i | −0.396082 | − | 1.10989i | ||||
\(679\) | 5.79992e25i | 0.0725536i | ||||||||
\(680\) | 1.06292e26 | + | 1.73705e25i | 0.131119 | + | 0.0214277i | ||||
\(681\) | 1.23905e27 | + | 9.42754e26i | 1.50727 | + | 1.14683i | ||||
\(682\) | −1.13742e25 | − | 7.41297e24i | −0.0136448 | − | 0.00889284i | ||||
\(683\) | −8.22491e26 | −0.973049 | −0.486524 | − | 0.873667i | \(-0.661736\pi\) | ||||
−0.486524 | + | 0.873667i | \(0.661736\pi\) | |||||||
\(684\) | −4.00416e26 | − | 4.89569e26i | −0.467174 | − | 0.571191i | ||||
\(685\) | 1.89956e26 | 0.218571 | ||||||||
\(686\) | −9.69989e25 | − | 6.32178e25i | −0.110075 | − | 0.0717398i | ||||
\(687\) | 9.65312e25 | + | 7.34477e25i | 0.108039 | + | 0.0822033i | ||||
\(688\) | 6.41389e26 | + | 5.85159e26i | 0.707997 | + | 0.645927i | ||||
\(689\) | − | 1.10309e27i | − | 1.20096i | ||||||
\(690\) | −1.78324e25 | − | 4.99695e25i | −0.0191489 | − | 0.0536585i | ||||
\(691\) | 3.29298e25i | 0.0348777i | 0.999848 | + | 0.0174388i | \(0.00555123\pi\) | ||||
−0.999848 | + | 0.0174388i | \(0.994449\pi\) | |||||||
\(692\) | −1.14327e27 | + | 5.04538e26i | −1.19437 | + | 0.527091i | ||||
\(693\) | −7.15457e25 | + | 1.97972e25i | −0.0737255 | + | 0.0204004i | ||||
\(694\) | −7.03689e26 | + | 1.07971e27i | −0.715263 | + | 1.09747i | ||||
\(695\) | −2.12697e26 | −0.213258 | ||||||||
\(696\) | −7.74543e26 | + | 7.33787e26i | −0.766051 | + | 0.725742i | ||||
\(697\) | 4.55673e26 | 0.444571 | ||||||||
\(698\) | −7.15219e26 | + | 1.09740e27i | −0.688355 | + | 1.05618i | ||||
\(699\) | 3.27154e26 | − | 4.29974e26i | 0.310613 | − | 0.408234i | ||||
\(700\) | 6.25072e25 | − | 2.75852e25i | 0.0585462 | − | 0.0258371i | ||||
\(701\) | 1.42979e27i | 1.32114i | 0.750763 | + | 0.660572i | \(0.229686\pi\) | ||||
−0.750763 | + | 0.660572i | \(0.770314\pi\) | |||||||
\(702\) | −4.76543e26 | − | 6.77877e26i | −0.434409 | − | 0.617943i | ||||
\(703\) | 1.47447e27i | 1.32605i | ||||||||
\(704\) | 1.24138e27 | + | 4.16872e26i | 1.10145 | + | 0.369881i | ||||
\(705\) | 1.33778e26 | − | 1.75822e26i | 0.117108 | − | 0.153914i | ||||
\(706\) | −6.03923e26 | − | 3.93599e26i | −0.521599 | − | 0.339945i | ||||
\(707\) | −1.37307e24 | −0.00117006 | ||||||||
\(708\) | 5.04793e26 | − | 2.11008e27i | 0.424422 | − | 1.77412i | ||||
\(709\) | −4.29192e26 | −0.356051 | −0.178026 | − | 0.984026i | \(-0.556971\pi\) | ||||
−0.178026 | + | 0.984026i | \(0.556971\pi\) | |||||||
\(710\) | −2.57990e25 | − | 1.68142e25i | −0.0211178 | − | 0.0137633i | ||||
\(711\) | 1.86373e27 | − | 5.15709e26i | 1.50530 | − | 0.416527i | ||||
\(712\) | −6.63862e25 | + | 4.06225e26i | −0.0529076 | + | 0.323748i | ||||
\(713\) | 6.06919e24i | 0.00477288i | ||||||||
\(714\) | −6.34457e25 | + | 2.26417e25i | −0.0492345 | + | 0.0175701i | ||||
\(715\) | 1.91773e26i | 0.146852i | ||||||||
\(716\) | −2.77403e25 | − | 6.28588e25i | −0.0209622 | − | 0.0474999i | ||||
\(717\) | 9.01404e26 | + | 6.85851e26i | 0.672183 | + | 0.511444i | ||||
\(718\) | −5.47795e26 | + | 8.40515e26i | −0.403121 | + | 0.618533i | ||||
\(719\) | 2.06112e26 | 0.149685 | 0.0748424 | − | 0.997195i | \(-0.476155\pi\) | ||||
0.0748424 | + | 0.997195i | \(0.476155\pi\) | |||||||
\(720\) | −1.05656e26 | + | 2.08187e26i | −0.0757243 | + | 0.149209i | ||||
\(721\) | 4.38836e25 | 0.0310397 | ||||||||
\(722\) | −3.56273e26 | + | 5.46651e26i | −0.248702 | + | 0.381599i | ||||
\(723\) | 1.28350e26 | + | 9.76579e25i | 0.0884266 | + | 0.0672812i | ||||
\(724\) | −1.05038e27 | − | 2.38014e27i | −0.714219 | − | 1.61840i | ||||
\(725\) | − | 1.52838e27i | − | 1.02570i | ||||||
\(726\) | 4.97668e26 | − | 1.77601e26i | 0.329642 | − | 0.117638i | ||||
\(727\) | 1.49727e27i | 0.978865i | 0.872041 | + | 0.489433i | \(0.162796\pi\) | ||||
−0.872041 | + | 0.489433i | \(0.837204\pi\) | |||||||
\(728\) | 1.24297e25 | − | 7.60586e25i | 0.00802069 | − | 0.0490795i | ||||
\(729\) | −1.13701e27 | − | 1.08270e27i | −0.724189 | − | 0.689601i | ||||
\(730\) | −1.73233e26 | − | 1.12903e26i | −0.108909 | − | 0.0709801i | ||||
\(731\) | 1.22625e27 | 0.760963 | ||||||||
\(732\) | 4.19242e26 | − | 1.75247e27i | 0.256809 | − | 1.07348i | ||||
\(733\) | −8.11864e26 | −0.490903 | −0.245451 | − | 0.969409i | \(-0.578936\pi\) | ||||
−0.245451 | + | 0.969409i | \(0.578936\pi\) | |||||||
\(734\) | −1.63685e27 | − | 1.06680e27i | −0.977005 | − | 0.636751i | ||||
\(735\) | −1.71212e26 | + | 2.25021e26i | −0.100880 | + | 0.132585i | ||||
\(736\) | −1.46878e26 | − | 5.66668e26i | −0.0854314 | − | 0.329602i | ||||
\(737\) | − | 3.58638e27i | − | 2.05928i | ||||||
\(738\) | −2.99105e26 | + | 9.41378e26i | −0.169546 | + | 0.533616i | ||||
\(739\) | 2.20357e27i | 1.23312i | 0.787308 | + | 0.616560i | \(0.211474\pi\) | ||||
−0.787308 | + | 0.616560i | \(0.788526\pi\) | |||||||
\(740\) | 4.97941e26 | − | 2.19747e26i | 0.275091 | − | 0.121401i | ||||
\(741\) | 6.18812e26 | − | 8.13295e26i | 0.337509 | − | 0.443583i | ||||
\(742\) | 1.06142e26 | − | 1.62860e26i | 0.0571543 | − | 0.0876953i | ||||
\(743\) | −5.27768e26 | −0.280575 | −0.140288 | − | 0.990111i | \(-0.544803\pi\) | ||||
−0.140288 | + | 0.990111i | \(0.544803\pi\) | |||||||
\(744\) | 1.93874e25 | − | 1.83673e25i | 0.0101760 | − | 0.00964055i | ||||
\(745\) | −4.07021e26 | −0.210927 | ||||||||
\(746\) | −7.24552e26 | + | 1.11172e27i | −0.370724 | + | 0.568825i | ||||
\(747\) | 5.47065e25 | + | 1.97705e26i | 0.0276371 | + | 0.0998786i | ||||
\(748\) | 1.69208e27 | − | 7.46735e26i | 0.844027 | − | 0.372479i | ||||
\(749\) | 6.73368e25i | 0.0331646i | ||||||||
\(750\) | −2.28047e26 | − | 6.39027e26i | −0.110903 | − | 0.310769i | ||||
\(751\) | − | 2.93831e27i | − | 1.41097i | −0.708724 | − | 0.705486i | \(-0.750729\pi\) | ||
0.708724 | − | 0.705486i | \(-0.249271\pi\) | |||||||
\(752\) | 1.64292e27 | − | 1.80079e27i | 0.779015 | − | 0.853874i | ||||
\(753\) | 5.30802e26 | + | 4.03871e26i | 0.248531 | + | 0.189100i | ||||
\(754\) | −1.44431e27 | − | 9.41313e26i | −0.667780 | − | 0.435217i | ||||
\(755\) | −1.94225e25 | −0.00886767 | ||||||||
\(756\) | −5.12970e24 | − | 1.45935e26i | −0.00231279 | − | 0.0657965i | ||||
\(757\) | 9.76597e26 | 0.434815 | 0.217407 | − | 0.976081i | \(-0.430240\pi\) | ||||
0.217407 | + | 0.976081i | \(0.430240\pi\) | |||||||
\(758\) | 1.88767e26 | + | 1.23027e26i | 0.0829983 | + | 0.0540931i | ||||
\(759\) | −7.25091e26 | − | 5.51700e26i | −0.314844 | − | 0.239556i | ||||
\(760\) | −2.84164e26 | − | 4.64387e25i | −0.121854 | − | 0.0199137i | ||||
\(761\) | 3.31063e27i | 1.40203i | 0.713148 | + | 0.701013i | \(0.247269\pi\) | ||||
−0.713148 | + | 0.701013i | \(0.752731\pi\) | |||||||
\(762\) | 2.53974e26 | + | 7.11679e26i | 0.106223 | + | 0.297654i | ||||
\(763\) | 7.01487e25i | 0.0289759i | ||||||||
\(764\) | 5.98814e25 | + | 1.35690e26i | 0.0244290 | + | 0.0553554i | ||||
\(765\) | 8.79370e25 | + | 3.17798e26i | 0.0354314 | + | 0.128047i | ||||
\(766\) | −9.10394e26 | + | 1.39687e27i | −0.362290 | + | 0.555883i | ||||
\(767\) | 3.50571e27 | 1.37791 | ||||||||
\(768\) | −1.36567e27 | + | 2.18410e27i | −0.530167 | + | 0.847893i | ||||
\(769\) | 7.23580e26 | 0.277451 | 0.138725 | − | 0.990331i | \(-0.455699\pi\) | ||||
0.138725 | + | 0.990331i | \(0.455699\pi\) | |||||||
\(770\) | −1.84528e25 | + | 2.83132e25i | −0.00698875 | + | 0.0107233i | ||||
\(771\) | −1.92581e27 | + | 2.53106e27i | −0.720439 | + | 0.946861i | ||||
\(772\) | 4.24678e26 | + | 9.62309e26i | 0.156926 | + | 0.355591i | ||||
\(773\) | 3.63777e27i | 1.32779i | 0.747825 | + | 0.663896i | \(0.231098\pi\) | ||||
−0.747825 | + | 0.663896i | \(0.768902\pi\) | |||||||
\(774\) | −8.04913e26 | + | 2.53332e27i | −0.290208 | + | 0.913379i | ||||
\(775\) | 3.82565e25i | 0.0136251i | ||||||||
\(776\) | 3.09137e27 | + | 5.05199e26i | 1.08759 | + | 0.177736i | ||||
\(777\) | −2.06138e26 | + | 2.70923e26i | −0.0716403 | + | 0.0941557i | ||||
\(778\) | 3.71308e27 | + | 2.41995e27i | 1.27476 | + | 0.830808i | ||||
\(779\) | −1.21821e27 | −0.413158 | ||||||||
\(780\) | −3.66882e26 | − | 8.77691e25i | −0.122921 | − | 0.0294065i | ||||
\(781\) | −5.28826e26 | −0.175036 | ||||||||
\(782\) | −6.92676e26 | − | 4.51443e26i | −0.226499 | − | 0.147618i | ||||
\(783\) | −3.03296e27 | − | 1.21305e27i | −0.979782 | − | 0.391871i | ||||
\(784\) | −2.10264e27 | + | 2.30469e27i | −0.671061 | + | 0.735546i | ||||
\(785\) | 7.02491e26i | 0.221503i | ||||||||
\(786\) | 4.03360e26 | − | 1.43946e26i | 0.125655 | − | 0.0448420i | ||||
\(787\) | − | 4.93783e27i | − | 1.51976i | −0.650061 | − | 0.759882i | \(-0.725257\pi\) | ||
0.650061 | − | 0.759882i | \(-0.274743\pi\) | |||||||
\(788\) | −5.38869e27 | + | 2.37809e27i | −1.63864 | + | 0.723152i | ||||
\(789\) | −2.63711e27 | − | 2.00650e27i | −0.792313 | − | 0.602848i | ||||
\(790\) | 4.80687e26 | − | 7.37547e26i | 0.142694 | − | 0.218944i | ||||
\(791\) | 2.64519e26 | 0.0775854 | ||||||||
\(792\) | 4.32001e26 | + | 3.98585e27i | 0.125198 | + | 1.15513i | ||||
\(793\) | 2.91157e27 | 0.833742 | ||||||||
\(794\) | 2.78042e27 | − | 4.26617e27i | 0.786712 | − | 1.20710i | ||||
\(795\) | −7.57257e26 | − | 5.76174e26i | −0.211717 | − | 0.161089i | ||||
\(796\) | 2.81030e27 | − | 1.24022e27i | 0.776387 | − | 0.342628i | ||||
\(797\) | 3.91127e27i | 1.06774i | 0.845568 | + | 0.533868i | \(0.179262\pi\) | ||||
−0.845568 | + | 0.533868i | \(0.820738\pi\) | |||||||
\(798\) | 1.69618e26 | − | 6.05309e25i | 0.0457556 | − | 0.0163286i | ||||
\(799\) | − | 3.44287e27i | − | 0.917753i | ||||||
\(800\) | −9.25830e26 | − | 3.57193e27i | −0.243880 | − | 0.940910i | ||||
\(801\) | −1.21456e27 | + | 3.36077e26i | −0.316162 | + | 0.0874842i | ||||
\(802\) | 1.10035e27 | + | 7.17141e26i | 0.283058 | + | 0.184479i | ||||
\(803\) | −3.55091e27 | −0.902698 | ||||||||
\(804\) | 6.86112e27 | + | 1.64138e27i | 1.72370 | + | 0.412361i | ||||
\(805\) | 1.51078e25 | 0.00375093 | ||||||||
\(806\) | 3.61523e25 | + | 2.35618e25i | 0.00887060 | + | 0.00578130i | ||||
\(807\) | −8.19392e26 | + | 1.07691e27i | −0.198698 | + | 0.261146i | ||||
\(808\) | −1.19600e25 | + | 7.31848e25i | −0.00286632 | + | 0.0175393i | ||||
\(809\) | 1.35539e27i | 0.321035i | 0.987033 | + | 0.160518i | \(0.0513164\pi\) | ||||
−0.987033 | + | 0.160518i | \(0.948684\pi\) | |||||||
\(810\) | −7.14264e26 | − | 2.69335e25i | −0.167206 | − | 0.00630499i | ||||
\(811\) | 4.89274e27i | 1.13202i | 0.824398 | + | 0.566010i | \(0.191514\pi\) | ||||
−0.824398 | + | 0.566010i | \(0.808486\pi\) | |||||||
\(812\) | −1.22662e26 | − | 2.77949e26i | −0.0280497 | − | 0.0635599i | ||||
\(813\) | 2.20762e27 | − | 2.90144e27i | 0.498958 | − | 0.655772i | ||||
\(814\) | 5.10337e27 | − | 7.83041e27i | 1.14005 | − | 1.74925i | ||||
\(815\) | 9.65307e26 | 0.213142 | ||||||||
\(816\) | 6.54165e26 | + | 3.57889e27i | 0.142768 | + | 0.781074i | ||||
\(817\) | −3.27830e27 | −0.707194 | ||||||||
\(818\) | 1.95161e27 | − | 2.99447e27i | 0.416136 | − | 0.638503i | ||||
\(819\) | 2.27405e26 | − | 6.29246e25i | 0.0479295 | − | 0.0132624i | ||||
\(820\) | 1.81556e26 | + | 4.11401e26i | 0.0378250 | + | 0.0857104i | ||||
\(821\) | − | 5.66778e27i | − | 1.16722i | −0.812034 | − | 0.583611i | \(-0.801639\pi\) | ||
0.812034 | − | 0.583611i | \(-0.198361\pi\) | |||||||
\(822\) | 2.15670e27 | + | 6.04344e27i | 0.439044 | + | 1.23027i | ||||
\(823\) | − | 6.91924e27i | − | 1.39239i | −0.717854 | − | 0.696194i | \(-0.754875\pi\) | ||
0.717854 | − | 0.696194i | \(-0.245125\pi\) | |||||||
\(824\) | 3.82246e26 | − | 2.33901e27i | 0.0760387 | − | 0.465290i | ||||
\(825\) | −4.57053e27 | − | 3.47758e27i | −0.898782 | − | 0.683856i | ||||
\(826\) | 5.17580e26 | + | 3.37326e26i | 0.100616 | + | 0.0655752i | ||||
\(827\) | −2.67536e27 | −0.514139 | −0.257069 | − | 0.966393i | \(-0.582757\pi\) | ||||
−0.257069 | + | 0.966393i | \(0.582757\pi\) | |||||||
\(828\) | 1.38731e27 | − | 1.13468e27i | 0.263564 | − | 0.215568i | ||||
\(829\) | −6.59380e27 | −1.23842 | −0.619210 | − | 0.785225i | \(-0.712547\pi\) | ||||
−0.619210 | + | 0.785225i | \(0.712547\pi\) | |||||||
\(830\) | 7.82391e25 | + | 5.09913e25i | 0.0145272 | + | 0.00946792i | ||||
\(831\) | 3.57895e27 | + | 2.72311e27i | 0.656970 | + | 0.499869i | ||||
\(832\) | −3.94567e27 | − | 1.32501e27i | −0.716060 | − | 0.240463i | ||||
\(833\) | 4.40625e27i | 0.790573i | ||||||||
\(834\) | −2.41490e27 | − | 6.76695e27i | −0.428372 | − | 1.20037i | ||||
\(835\) | 1.08747e27i | 0.190720i | ||||||||
\(836\) | −4.52367e27 | + | 1.99635e27i | −0.784388 | + | 0.346160i | ||||
\(837\) | 7.59174e25 | + | 3.03637e25i | 0.0130152 | + | 0.00520550i | ||||
\(838\) | −6.50883e26 | + | 9.98689e26i | −0.110328 | + | 0.169282i | ||||
\(839\) | 1.04406e28 | 1.74979 | 0.874897 | − | 0.484309i | \(-0.160929\pi\) | ||||
0.874897 | + | 0.484309i | \(0.160929\pi\) | |||||||
\(840\) | −4.57208e25 | − | 4.82603e25i | −0.00757637 | − | 0.00799717i | ||||
\(841\) | −6.92939e26 | −0.113536 | ||||||||
\(842\) | −8.33961e26 | + | 1.27960e27i | −0.135108 | + | 0.207304i | ||||
\(843\) | −1.67788e27 | + | 2.20521e27i | −0.268781 | + | 0.353254i | ||||
\(844\) | −9.43133e27 | + | 4.16216e27i | −1.49389 | + | 0.659273i | ||||
\(845\) | 4.58771e26i | 0.0718551i | ||||||||
\(846\) | 7.11265e27 | + | 2.25991e27i | 1.10157 | + | 0.350003i | ||||
\(847\) | 1.50465e26i | 0.0230432i | ||||||||
\(848\) | −7.75592e27 | − | 7.07596e27i | −1.17455 | − | 1.07158i | ||||
\(849\) | 5.70764e27 | − | 7.50147e27i | 0.854740 | − | 1.12337i | ||||
\(850\) | −4.36621e27 | − | 2.84562e27i | −0.646584 | − | 0.421403i | ||||
\(851\) | −4.17827e27 | −0.611878 | ||||||||
\(852\) | 2.42029e26 | − | 1.01170e27i | 0.0350502 | − | 0.146513i | ||||
\(853\) | 8.96374e27 | 1.28373 | 0.641864 | − | 0.766818i | \(-0.278161\pi\) | ||||
0.641864 | + | 0.766818i | \(0.278161\pi\) | |||||||
\(854\) | 4.29862e26 | + | 2.80157e26i | 0.0608806 | + | 0.0396782i | ||||
\(855\) | −2.35094e26 | − | 8.49612e26i | −0.0329278 | − | 0.118999i | ||||
\(856\) | 3.58907e27 | + | 5.86534e26i | 0.497143 | + | 0.0812442i | ||||
\(857\) | 1.10808e28i | 1.51794i | 0.651127 | + | 0.758969i | \(0.274296\pi\) | ||||
−0.651127 | + | 0.758969i | \(0.725704\pi\) | |||||||
\(858\) | −6.10125e27 | + | 2.17733e27i | −0.826589 | + | 0.294982i | ||||
\(859\) | 3.96956e26i | 0.0531872i | 0.999646 | + | 0.0265936i | \(0.00846600\pi\) | ||||
−0.999646 | + | 0.0265936i | \(0.991534\pi\) | |||||||
\(860\) | 4.88581e26 | + | 1.10711e27i | 0.0647442 | + | 0.146709i | ||||
\(861\) | −2.23838e26 | − | 1.70311e26i | −0.0293362 | − | 0.0223210i | ||||
\(862\) | 8.86893e26 | − | 1.36081e27i | 0.114961 | − | 0.176392i | ||||
\(863\) | 4.77121e27 | 0.611682 | 0.305841 | − | 0.952083i | \(-0.401062\pi\) | ||||
0.305841 | + | 0.952083i | \(0.401062\pi\) | |||||||
\(864\) | −7.82306e27 | − | 9.97747e26i | −0.991965 | − | 0.126514i | ||||
\(865\) | −1.74178e27 | −0.218444 | ||||||||
\(866\) | −3.25863e27 | + | 4.99992e27i | −0.404218 | + | 0.620216i | ||||
\(867\) | −2.39698e27 | − | 1.82379e27i | −0.294091 | − | 0.223765i | ||||
\(868\) | 3.07033e24 | + | 6.95730e24i | 0.000372605 | + | 0.000844312i | ||||
\(869\) | − | 1.51182e28i | − | 1.81473i | ||||||
\(870\) | −1.40060e27 | + | 4.99828e26i | −0.166296 | + | 0.0593455i | ||||
\(871\) | 1.13991e28i | 1.33875i | ||||||||
\(872\) | 3.73894e27 | + | 6.11027e26i | 0.434352 | + | 0.0709829i | ||||
\(873\) | 2.55755e27 | + | 9.24279e27i | 0.293892 | + | 1.06211i | ||||
\(874\) | 1.85182e27 | + | 1.20690e27i | 0.210495 | + | 0.137187i | ||||
\(875\) | 1.93203e26 | 0.0217239 | ||||||||
\(876\) | 1.62515e27 | − | 6.79328e27i | 0.180761 | − | 0.755597i | ||||
\(877\) | 1.66857e28 | 1.83590 | 0.917949 | − | 0.396698i | \(-0.129844\pi\) | ||||
0.917949 | + | 0.396698i | \(0.129844\pi\) | |||||||
\(878\) | 1.26296e27 | + | 8.23121e26i | 0.137465 | + | 0.0895913i | ||||
\(879\) | 8.30337e27 | − | 1.09130e28i | 0.894046 | − | 1.17503i | ||||
\(880\) | 1.34837e27 | + | 1.23016e27i | 0.143623 | + | 0.131031i | ||||
\(881\) | − | 3.00460e27i | − | 0.316604i | −0.987391 | − | 0.158302i | \(-0.949398\pi\) | ||
0.987391 | − | 0.158302i | \(-0.0506019\pi\) | |||||||
\(882\) | −9.10292e27 | − | 2.89227e27i | −0.948919 | − | 0.301500i | ||||
\(883\) | 1.74988e28i | 1.80460i | 0.431105 | + | 0.902302i | \(0.358124\pi\) | ||||
−0.431105 | + | 0.902302i | \(0.641876\pi\) | |||||||
\(884\) | −5.37821e27 | + | 2.37347e27i | −0.548708 | + | 0.242151i | ||||
\(885\) | 1.83112e27 | − | 2.40662e27i | 0.184823 | − | 0.242911i | ||||
\(886\) | 3.54490e27 | − | 5.43916e27i | 0.353984 | − | 0.543140i | ||||
\(887\) | 7.93022e27 | 0.783449 | 0.391724 | − | 0.920083i | \(-0.371879\pi\) | ||||
0.391724 | + | 0.920083i | \(0.371879\pi\) | |||||||
\(888\) | 1.26447e28 | + | 1.33470e28i | 1.23591 | + | 1.30455i | ||||
\(889\) | −2.15169e26 | −0.0208072 | ||||||||
\(890\) | −3.13254e26 | + | 4.80644e26i | −0.0299703 | + | 0.0459852i | ||||
\(891\) | −1.05286e28 | + | 6.30979e27i | −0.996625 | + | 0.597279i | ||||
\(892\) | −1.73764e28 | + | 7.66840e27i | −1.62740 | + | 0.718189i | ||||
\(893\) | 9.20428e27i | 0.852905i | ||||||||
\(894\) | −4.62120e27 | − | 1.29494e28i | −0.423690 | − | 1.18725i | ||||
\(895\) | − | 9.57658e25i | − | 0.00868744i | ||||||
\(896\) | −4.55041e26 | − | 5.75284e26i | −0.0408437 | − | 0.0516364i | ||||
\(897\) | 2.30467e27 | + | 1.75356e27i | 0.204682 | + | 0.155737i | ||||
\(898\) | 1.39059e28 | + | 9.06301e27i | 1.22201 | + | 0.796430i | ||||
\(899\) | 1.70114e26 | 0.0147919 | ||||||||
\(900\) | 8.74479e27 | − | 7.15232e27i | 0.752394 | − | 0.615380i | ||||
\(901\) | −1.48283e28 | −1.26242 | ||||||||
\(902\) | 6.46951e27 | + | 4.21642e27i | 0.545016 | + | 0.355207i | ||||
\(903\) | −6.02364e26 | − | 4.58321e26i | −0.0502141 | − | 0.0382064i | ||||
\(904\) | 2.30408e27 | − | 1.40989e28i | 0.190063 | − | 1.16302i | ||||
\(905\) | − | 3.62616e27i | − | 0.295996i | ||||||
\(906\) | −2.20518e26 | − | 6.17927e26i | −0.0178125 | − | 0.0499137i | ||||
\(907\) | 8.67033e27i | 0.693053i | 0.938040 | + | 0.346526i | \(0.112639\pi\) | ||||
−0.938040 | + | 0.346526i | \(0.887361\pi\) | |||||||
\(908\) | 9.66701e27 | + | 2.19052e28i | 0.764674 | + | 1.73273i | ||||
\(909\) | −2.18813e26 | + | 6.05471e25i | −0.0171284 | + | 0.00473954i | ||||
\(910\) | 5.86513e25 | − | 8.99923e25i | 0.00454344 | − | 0.00697127i | ||||
\(911\) | −1.30744e28 | −1.00230 | −0.501149 | − | 0.865361i | \(-0.667089\pi\) | ||||
−0.501149 | + | 0.865361i | \(0.667089\pi\) | |||||||
\(912\) | −1.74887e27 | − | 9.56793e27i | −0.132680 | − | 0.725883i | ||||
\(913\) | 1.60374e27 | 0.120409 | ||||||||
\(914\) | 6.76061e27 | − | 1.03732e28i | 0.502339 | − | 0.770770i | ||||
\(915\) | 1.52079e27 | − | 1.99875e27i | 0.111833 | − | 0.146980i | ||||
\(916\) | 7.53133e26 | + | 1.70658e27i | 0.0548106 | + | 0.124199i | ||||
\(917\) | 1.21952e26i | 0.00878375i | ||||||||
\(918\) | −9.11233e27 | + | 6.40591e27i | −0.649567 | + | 0.456641i | ||||
\(919\) | − | 2.14519e28i | − | 1.51345i | −0.653731 | − | 0.756727i | \(-0.726797\pi\) | ||
0.653731 | − | 0.756727i | \(-0.273203\pi\) | |||||||
\(920\) | 1.31596e26 | − | 8.05248e26i | 0.00918876 | − | 0.0562271i | ||||
\(921\) | −6.95598e27 | + | 9.14214e27i | −0.480720 | + | 0.631802i | ||||
\(922\) | 7.01143e26 | + | 4.56961e26i | 0.0479582 | + | 0.0312561i | ||||
\(923\) | 1.68085e27 | 0.113792 | ||||||||
\(924\) | −1.11029e27 | − | 2.65615e26i | −0.0743967 | − | 0.0177979i | ||||
\(925\) | −2.63372e28 | −1.74672 | ||||||||
\(926\) | −1.24419e28 | − | 8.10884e27i | −0.816736 | − | 0.532298i | ||||
\(927\) | 6.99332e27 | − | 1.93510e27i | 0.454387 | − | 0.125732i | ||||
\(928\) | −1.58832e28 | + | 4.11687e27i | −1.02149 | + | 0.264765i | ||||
\(929\) | − | 2.21284e28i | − | 1.40865i | −0.709880 | − | 0.704323i | \(-0.751251\pi\) | ||
0.709880 | − | 0.704323i | \(-0.248749\pi\) | |||||||
\(930\) | 3.50582e25 | − | 1.25111e25i | 0.00220903 | − | 0.000788329i | ||||
\(931\) | − | 1.17798e28i | − | 0.734711i | ||||||
\(932\) | 7.60153e27 | − | 3.35464e27i | 0.469299 | − | 0.207107i | ||||
\(933\) | 9.90972e27 | + | 7.54001e27i | 0.605600 | + | 0.460783i | ||||
\(934\) | −1.37323e28 | + | 2.10703e28i | −0.830707 | + | 1.27460i | ||||
\(935\) | 2.57790e27 | 0.154367 | ||||||||
\(936\) | −1.37310e27 | − | 1.26688e28i | −0.0813918 | − | 0.750959i | ||||
\(937\) | −3.94663e27 | −0.231579 | −0.115790 | − | 0.993274i | \(-0.536940\pi\) | ||||
−0.115790 | + | 0.993274i | \(0.536940\pi\) | |||||||
\(938\) | −1.09685e27 | + | 1.68296e27i | −0.0637118 | + | 0.0977568i | ||||
\(939\) | −1.44840e27 | − | 1.10205e27i | −0.0832848 | − | 0.0633689i | ||||
\(940\) | 3.10837e27 | − | 1.37176e27i | 0.176937 | − | 0.0780842i | ||||
\(941\) | 3.23513e27i | 0.182302i | 0.995837 | + | 0.0911508i | \(0.0290545\pi\) | ||||
−0.995837 | + | 0.0911508i | \(0.970945\pi\) | |||||||
\(942\) | −2.23497e28 | + | 7.97588e27i | −1.24678 | + | 0.444933i | ||||
\(943\) | − | 3.45210e27i | − | 0.190643i | ||||||
\(944\) | 2.24879e28 | − | 2.46489e28i | 1.22946 | − | 1.34761i | ||||
\(945\) | 7.55829e25 | − | 1.88978e26i | 0.00409092 | − | 0.0102284i | ||||
\(946\) | 1.74099e28 | + | 1.13467e28i | 0.932893 | + | 0.608001i | ||||
\(947\) | −2.91092e28 | −1.54421 | −0.772104 | − | 0.635496i | \(-0.780796\pi\) | ||||
−0.772104 | + | 0.635496i | \(0.780796\pi\) | |||||||
\(948\) | 2.89226e28 | + | 6.91915e27i | 1.51900 | + | 0.363391i | ||||
\(949\) | 1.12864e28 | 0.586851 | ||||||||
\(950\) | 1.16728e28 | + | 7.60758e27i | 0.600896 | + | 0.391627i | ||||
\(951\) | 1.82443e28 | − | 2.39782e28i | 0.929847 | − | 1.22208i | ||||
\(952\) | −1.02241e27 | − | 1.67085e26i | −0.0515913 | − | 0.00843116i | ||||
\(953\) | − | 1.25177e28i | − | 0.625377i | −0.949856 | − | 0.312688i | \(-0.898770\pi\) | ||
0.949856 | − | 0.312688i | \(-0.101230\pi\) | |||||||
\(954\) | 9.73331e27 | − | 3.06339e28i | 0.481450 | − | 1.51528i | ||||
\(955\) | 2.06724e26i | 0.0101242i | ||||||||
\(956\) | 7.03272e27 | + | 1.59360e28i | 0.341015 | + | 0.772731i | ||||
\(957\) | −1.54637e28 | + | 2.03237e28i | −0.742420 | + | 0.975751i | ||||
\(958\) | 1.50674e28 | − | 2.31189e28i | 0.716254 | − | 1.09899i | ||||
\(959\) | −1.82717e27 | −0.0860008 | ||||||||
\(960\) | −2.97053e27 | + | 2.01656e27i | −0.138439 | + | 0.0939800i | ||||
\(961\) | 2.16664e28 | 0.999804 | ||||||||
\(962\) | −1.62208e28 | + | 2.48886e28i | −0.741157 | + | 1.13720i | ||||
\(963\) | 2.96930e27 | + | 1.07308e28i | 0.134340 | + | 0.485494i | ||||
\(964\) | 1.00138e27 | + | 2.26911e27i | 0.0448610 | + | 0.101654i | ||||
\(965\) | 1.46609e27i | 0.0650354i | ||||||||
\(966\) | 1.71529e26 | + | 4.80654e26i | 0.00753452 | + | 0.0211130i | ||||
\(967\) | − | 3.10995e28i | − | 1.35270i | −0.736580 | − | 0.676350i | \(-0.763561\pi\) | ||
0.736580 | − | 0.676350i | \(-0.236439\pi\) | |||||||
\(968\) | 8.01982e27 | + | 1.31062e27i | 0.345421 | + | 0.0564495i | ||||
\(969\) | −1.09327e28 | − | 8.31836e27i | −0.466285 | − | 0.354782i | ||||
\(970\) | 3.65770e27 | + | 2.38386e27i | 0.154482 | + | 0.100681i | ||||
\(971\) | −2.72482e28 | −1.13961 | −0.569803 | − | 0.821781i | \(-0.692980\pi\) | ||||
−0.569803 | + | 0.821781i | \(0.692980\pi\) | |||||||
\(972\) | −7.25266e27 | − | 2.30301e28i | −0.300378 | − | 0.953820i | ||||
\(973\) | 2.04592e27 | 0.0839105 | ||||||||
\(974\) | −1.85682e28 | − | 1.21016e28i | −0.754152 | − | 0.491509i | ||||
\(975\) | 1.45272e28 | + | 1.10533e28i | 0.584305 | + | 0.444580i | ||||
\(976\) | 1.86767e28 | − | 2.04714e28i | 0.743922 | − | 0.815409i | ||||
\(977\) | 6.57835e27i | 0.259489i | 0.991547 | + | 0.129744i | \(0.0414157\pi\) | ||||
−0.991547 | + | 0.129744i | \(0.958584\pi\) | |||||||
\(978\) | 1.09598e28 | + | 3.07112e28i | 0.428138 | + | 1.19972i | ||||
\(979\) | 9.85219e27i | 0.381151i | ||||||||
\(980\) | −3.97815e27 | + | 1.75560e27i | −0.152417 | + | 0.0672634i | ||||
\(981\) | 3.09329e27 | + | 1.11789e28i | 0.117372 | + | 0.424175i | ||||
\(982\) | −1.77589e28 | + | 2.72485e28i | −0.667354 | + | 1.02396i | ||||
\(983\) | −1.80626e28 | −0.672236 | −0.336118 | − | 0.941820i | \(-0.609114\pi\) | ||||
−0.336118 | + | 0.941820i | \(0.609114\pi\) | |||||||
\(984\) | −1.10274e28 | + | 1.04471e28i | −0.406461 | + | 0.385073i | ||||
\(985\) | −8.20971e27 | −0.299698 | ||||||||
\(986\) | −1.26536e28 | + | 1.94151e28i | −0.457490 | + | 0.701955i | ||||
\(987\) | −1.28680e27 | + | 1.69122e27i | −0.0460785 | + | 0.0605603i | ||||
\(988\) | 1.43783e28 | − | 6.34530e27i | 0.509936 | − | 0.225041i | ||||
\(989\) | − | 9.28985e27i | − | 0.326320i | ||||||
\(990\) | −1.69214e27 | + | 5.32571e27i | −0.0588710 | + | 0.185286i | ||||
\(991\) | 3.74817e28i | 1.29158i | 0.763517 | + | 0.645788i | \(0.223471\pi\) | ||||
−0.763517 | + | 0.645788i | \(0.776529\pi\) | |||||||
\(992\) | 3.97570e26 | − | 1.03048e26i | 0.0135691 | − | 0.00351707i | ||||
\(993\) | −1.45315e28 | + | 1.90985e28i | −0.491239 | + | 0.645628i | ||||
\(994\) | 2.48159e26 | + | 1.61735e26i | 0.00830922 | + | 0.00541543i | ||||
\(995\) | 4.28151e27 | 0.141996 | ||||||||
\(996\) | −7.33985e26 | + | 3.06812e27i | −0.0241115 | + | 0.100788i | ||||
\(997\) | −1.50894e28 | −0.490983 | −0.245492 | − | 0.969399i | \(-0.578949\pi\) | ||||
−0.245492 | + | 0.969399i | \(0.578949\pi\) | |||||||
\(998\) | 2.85139e28 | + | 1.85835e28i | 0.919001 | + | 0.598947i | ||||
\(999\) | −2.09035e28 | + | 5.22644e28i | −0.667340 | + | 1.66853i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 12.20.b.a.11.12 | yes | 36 | |
3.2 | odd | 2 | inner | 12.20.b.a.11.25 | yes | 36 | |
4.3 | odd | 2 | inner | 12.20.b.a.11.26 | yes | 36 | |
12.11 | even | 2 | inner | 12.20.b.a.11.11 | ✓ | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
12.20.b.a.11.11 | ✓ | 36 | 12.11 | even | 2 | inner | |
12.20.b.a.11.12 | yes | 36 | 1.1 | even | 1 | trivial | |
12.20.b.a.11.25 | yes | 36 | 3.2 | odd | 2 | inner | |
12.20.b.a.11.26 | yes | 36 | 4.3 | odd | 2 | inner |