Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [16,8,Mod(5,16)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(16, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("16.5");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 16 = 2^{4} \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 16.e (of order \(4\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.99816040775\) |
Analytic rank: | \(0\) |
Dimension: | \(26\) |
Relative dimension: | \(13\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.8 | ||
Character | \(\chi\) | \(=\) | 16.5 |
Dual form | 16.8.e.a.13.8 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/16\mathbb{Z}\right)^\times\).
\(n\) | \(5\) | \(15\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 4.26019 | − | 10.4810i | 0.376551 | − | 0.926396i | ||||
\(3\) | 61.7547 | − | 61.7547i | 1.32052 | − | 1.32052i | 0.407171 | − | 0.913352i | \(-0.366515\pi\) |
0.913352 | − | 0.407171i | \(-0.133485\pi\) | |||||||
\(4\) | −91.7015 | − | 89.3019i | −0.716418 | − | 0.697671i | ||||
\(5\) | 160.824 | + | 160.824i | 0.575383 | + | 0.575383i | 0.933628 | − | 0.358245i | \(-0.116625\pi\) |
−0.358245 | + | 0.933628i | \(0.616625\pi\) | |||||||
\(6\) | −384.163 | − | 910.337i | −0.726082 | − | 1.72057i | ||||
\(7\) | 1202.46i | 1.32504i | 0.749044 | + | 0.662520i | \(0.230513\pi\) | ||||
−0.749044 | + | 0.662520i | \(0.769487\pi\) | |||||||
\(8\) | −1326.64 | + | 580.677i | −0.916088 | + | 0.400977i | ||||
\(9\) | − | 5440.30i | − | 2.48756i | ||||||
\(10\) | 2370.74 | − | 1000.45i | 0.749693 | − | 0.316371i | ||||
\(11\) | 313.790 | + | 313.790i | 0.0710827 | + | 0.0710827i | 0.741754 | − | 0.670672i | \(-0.233994\pi\) |
−0.670672 | + | 0.741754i | \(0.733994\pi\) | |||||||
\(12\) | −11177.8 | + | 148.186i | −1.86734 | + | 0.0247555i | ||||
\(13\) | −2231.18 | + | 2231.18i | −0.281665 | + | 0.281665i | −0.833773 | − | 0.552108i | \(-0.813824\pi\) |
0.552108 | + | 0.833773i | \(0.313824\pi\) | |||||||
\(14\) | 12603.0 | + | 5122.73i | 1.22751 | + | 0.498946i | ||||
\(15\) | 19863.3 | 1.51961 | ||||||||
\(16\) | 434.333 | + | 16378.2i | 0.0265096 | + | 0.999649i | ||||
\(17\) | 21041.2 | 1.03872 | 0.519361 | − | 0.854555i | \(-0.326170\pi\) | ||||
0.519361 | + | 0.854555i | \(0.326170\pi\) | |||||||
\(18\) | −57019.6 | − | 23176.7i | −2.30447 | − | 0.936695i | ||||
\(19\) | −17903.6 | + | 17903.6i | −0.598830 | + | 0.598830i | −0.940001 | − | 0.341171i | \(-0.889177\pi\) |
0.341171 | + | 0.940001i | \(0.389177\pi\) | |||||||
\(20\) | −385.912 | − | 29109.8i | −0.0107866 | − | 0.813642i | ||||
\(21\) | 74257.9 | + | 74257.9i | 1.74975 | + | 1.74975i | ||||
\(22\) | 4625.62 | − | 1952.02i | 0.0926171 | − | 0.0390844i | ||||
\(23\) | − | 33619.9i | − | 0.576167i | −0.957605 | − | 0.288084i | \(-0.906982\pi\) | ||
0.957605 | − | 0.288084i | \(-0.0930181\pi\) | |||||||
\(24\) | −46066.5 | + | 117786.i | −0.680215 | + | 1.73922i | ||||
\(25\) | − | 26396.1i | − | 0.337870i | ||||||
\(26\) | 13879.7 | + | 32890.2i | 0.154872 | + | 0.366995i | ||||
\(27\) | −200907. | − | 200907.i | −1.96436 | − | 1.96436i | ||||
\(28\) | 107382. | − | 110268.i | 0.924442 | − | 0.949283i | ||||
\(29\) | −4104.39 | + | 4104.39i | −0.0312504 | + | 0.0312504i | −0.722559 | − | 0.691309i | \(-0.757034\pi\) |
0.691309 | + | 0.722559i | \(0.257034\pi\) | |||||||
\(30\) | 84621.6 | − | 208187.i | 0.572212 | − | 1.40776i | ||||
\(31\) | 9133.16 | 0.0550624 | 0.0275312 | − | 0.999621i | \(-0.491235\pi\) | ||||
0.0275312 | + | 0.999621i | \(0.491235\pi\) | |||||||
\(32\) | 173510. | + | 65222.2i | 0.936052 | + | 0.351861i | ||||
\(33\) | 38756.0 | 0.187733 | ||||||||
\(34\) | 89639.6 | − | 220532.i | 0.391132 | − | 0.962267i | ||||
\(35\) | −193385. | + | 193385.i | −0.762405 | + | 0.762405i | ||||
\(36\) | −485829. | + | 498883.i | −1.73550 | + | 1.78213i | ||||
\(37\) | −104557. | − | 104557.i | −0.339349 | − | 0.339349i | 0.516773 | − | 0.856122i | \(-0.327133\pi\) |
−0.856122 | + | 0.516773i | \(0.827133\pi\) | |||||||
\(38\) | 111375. | + | 263921.i | 0.329263 | + | 0.780244i | ||||
\(39\) | 275572.i | 0.743891i | ||||||||
\(40\) | −306743. | − | 119968.i | −0.757816 | − | 0.296386i | ||||
\(41\) | 599792.i | 1.35912i | 0.733621 | + | 0.679559i | \(0.237829\pi\) | ||||
−0.733621 | + | 0.679559i | \(0.762171\pi\) | |||||||
\(42\) | 1.09465e6 | − | 461942.i | 2.27983 | − | 0.962088i | ||||
\(43\) | 79842.5 | + | 79842.5i | 0.153142 | + | 0.153142i | 0.779520 | − | 0.626378i | \(-0.215463\pi\) |
−0.626378 | + | 0.779520i | \(0.715463\pi\) | |||||||
\(44\) | −752.965 | − | 56797.0i | −0.00133257 | − | 0.100517i | ||||
\(45\) | 874932. | − | 874932.i | 1.43130 | − | 1.43130i | ||||
\(46\) | −352369. | − | 143227.i | −0.533759 | − | 0.216957i | ||||
\(47\) | −1.24454e6 | −1.74851 | −0.874254 | − | 0.485469i | \(-0.838649\pi\) | ||||
−0.874254 | + | 0.485469i | \(0.838649\pi\) | |||||||
\(48\) | 1.03826e6 | + | 984612.i | 1.35507 | + | 1.28505i | ||||
\(49\) | −622377. | −0.755732 | ||||||||
\(50\) | −276657. | − | 112452.i | −0.313001 | − | 0.127225i | ||||
\(51\) | 1.29939e6 | − | 1.29939e6i | 1.37166 | − | 1.37166i | ||||
\(52\) | 403852. | − | 5353.91i | 0.398300 | − | 0.00528031i | ||||
\(53\) | 274857. | + | 274857.i | 0.253596 | + | 0.253596i | 0.822443 | − | 0.568847i | \(-0.192610\pi\) |
−0.568847 | + | 0.822443i | \(0.692610\pi\) | |||||||
\(54\) | −2.96160e6 | + | 1.24979e6i | −2.55946 | + | 1.08009i | ||||
\(55\) | 100930.i | 0.0817995i | ||||||||
\(56\) | −698244. | − | 1.59523e6i | −0.531311 | − | 1.21385i | ||||
\(57\) | 2.21127e6i | 1.58154i | ||||||||
\(58\) | 25532.5 | + | 60503.5i | 0.0171829 | + | 0.0407176i | ||||
\(59\) | −1.13722e6 | − | 1.13722e6i | −0.720876 | − | 0.720876i | 0.247908 | − | 0.968784i | \(-0.420257\pi\) |
−0.968784 | + | 0.247908i | \(0.920257\pi\) | |||||||
\(60\) | −1.82150e6 | − | 1.77383e6i | −1.08868 | − | 1.06019i | ||||
\(61\) | 984936. | − | 984936.i | 0.555589 | − | 0.555589i | −0.372459 | − | 0.928048i | \(-0.621485\pi\) |
0.928048 | + | 0.372459i | \(0.121485\pi\) | |||||||
\(62\) | 38909.0 | − | 95724.4i | 0.0207338 | − | 0.0510096i | ||||
\(63\) | 6.54176e6 | 3.29612 | ||||||||
\(64\) | 1.42278e6 | − | 1.54070e6i | 0.678434 | − | 0.734661i | ||||
\(65\) | −717657. | −0.324131 | ||||||||
\(66\) | 165108. | − | 406201.i | 0.0706911 | − | 0.173915i | ||||
\(67\) | −2.25153e6 | + | 2.25153e6i | −0.914570 | + | 0.914570i | −0.996628 | − | 0.0820580i | \(-0.973851\pi\) |
0.0820580 | + | 0.996628i | \(0.473851\pi\) | |||||||
\(68\) | −1.92951e6 | − | 1.87902e6i | −0.744159 | − | 0.724686i | ||||
\(69\) | −2.07619e6 | − | 2.07619e6i | −0.760842 | − | 0.760842i | ||||
\(70\) | 1.20301e6 | + | 2.85073e6i | 0.419204 | + | 0.993373i | ||||
\(71\) | 5.48968e6i | 1.82030i | 0.414278 | + | 0.910150i | \(0.364034\pi\) | ||||
−0.414278 | + | 0.910150i | \(0.635966\pi\) | |||||||
\(72\) | 3.15906e6 | + | 7.21730e6i | 0.997456 | + | 2.27883i | ||||
\(73\) | − | 4.23698e6i | − | 1.27476i | −0.770552 | − | 0.637378i | \(-0.780019\pi\) | ||
0.770552 | − | 0.637378i | \(-0.219981\pi\) | |||||||
\(74\) | −1.54129e6 | + | 650425.i | −0.442153 | + | 0.186589i | ||||
\(75\) | −1.63008e6 | − | 1.63008e6i | −0.446165 | − | 0.446165i | ||||
\(76\) | 3.24062e6 | − | 42961.3i | 0.846800 | − | 0.0112261i | ||||
\(77\) | −377321. | + | 377321.i | −0.0941875 | + | 0.0941875i | ||||
\(78\) | 2.88826e6 | + | 1.17399e6i | 0.689137 | + | 0.280113i | ||||
\(79\) | 3.54577e6 | 0.809125 | 0.404563 | − | 0.914510i | \(-0.367424\pi\) | ||||
0.404563 | + | 0.914510i | \(0.367424\pi\) | |||||||
\(80\) | −2.56417e6 | + | 2.70387e6i | −0.559927 | + | 0.590433i | ||||
\(81\) | −1.29159e7 | −2.70040 | ||||||||
\(82\) | 6.28640e6 | + | 2.55523e6i | 1.25908 | + | 0.511778i | ||||
\(83\) | 179482. | − | 179482.i | 0.0344546 | − | 0.0344546i | −0.689670 | − | 0.724124i | \(-0.742244\pi\) |
0.724124 | + | 0.689670i | \(0.242244\pi\) | |||||||
\(84\) | −178188. | − | 1.34409e7i | −0.0328021 | − | 2.47430i | ||||
\(85\) | 3.38394e6 | + | 3.38394e6i | 0.597662 | + | 0.597662i | ||||
\(86\) | 1.17697e6 | − | 496683.i | 0.199536 | − | 0.0842043i | ||||
\(87\) | 506931.i | 0.0825337i | ||||||||
\(88\) | −598496. | − | 234074.i | −0.0936206 | − | 0.0366155i | ||||
\(89\) | − | 262425.i | − | 0.0394584i | −0.999805 | − | 0.0197292i | \(-0.993720\pi\) | ||
0.999805 | − | 0.0197292i | \(-0.00628041\pi\) | |||||||
\(90\) | −5.44276e6 | − | 1.28975e7i | −0.786992 | − | 1.86491i | ||||
\(91\) | −2.68292e6 | − | 2.68292e6i | −0.373218 | − | 0.373218i | ||||
\(92\) | −3.00232e6 | + | 3.08299e6i | −0.401975 | + | 0.412776i | ||||
\(93\) | 564016. | − | 564016.i | 0.0727112 | − | 0.0727112i | ||||
\(94\) | −5.30199e6 | + | 1.30440e7i | −0.658403 | + | 1.61981i | ||||
\(95\) | −5.75868e6 | −0.689113 | ||||||||
\(96\) | 1.47429e7 | − | 6.68730e6i | 1.70072 | − | 0.771438i | ||||
\(97\) | 1.53573e7 | 1.70849 | 0.854247 | − | 0.519867i | \(-0.174018\pi\) | ||||
0.854247 | + | 0.519867i | \(0.174018\pi\) | |||||||
\(98\) | −2.65145e6 | + | 6.52312e6i | −0.284572 | + | 0.700106i | ||||
\(99\) | 1.70711e6 | − | 1.70711e6i | 0.176823 | − | 0.176823i | ||||
\(100\) | −2.35722e6 | + | 2.42056e6i | −0.235722 | + | 0.242056i | ||||
\(101\) | −4.25472e6 | − | 4.25472e6i | −0.410910 | − | 0.410910i | 0.471146 | − | 0.882055i | \(-0.343841\pi\) |
−0.882055 | + | 0.471146i | \(0.843841\pi\) | |||||||
\(102\) | −8.08324e6 | − | 1.91546e7i | −0.754197 | − | 1.78720i | ||||
\(103\) | − | 1.37835e7i | − | 1.24288i | −0.783463 | − | 0.621438i | \(-0.786549\pi\) | ||
0.783463 | − | 0.621438i | \(-0.213451\pi\) | |||||||
\(104\) | 1.66437e6 | − | 4.25557e6i | 0.145089 | − | 0.370972i | ||||
\(105\) | 2.38849e7i | 2.01355i | ||||||||
\(106\) | 4.05172e6 | − | 1.70983e6i | 0.330422 | − | 0.139438i | ||||
\(107\) | −4.13797e6 | − | 4.13797e6i | −0.326546 | − | 0.326546i | 0.524726 | − | 0.851271i | \(-0.324168\pi\) |
−0.851271 | + | 0.524726i | \(0.824168\pi\) | |||||||
\(108\) | 482092. | + | 3.63648e7i | 0.0368254 | + | 2.77778i | ||||
\(109\) | 5.14000e6 | − | 5.14000e6i | 0.380163 | − | 0.380163i | −0.490998 | − | 0.871161i | \(-0.663368\pi\) |
0.871161 | + | 0.490998i | \(0.163368\pi\) | |||||||
\(110\) | 1.05784e6 | + | 429981.i | 0.0757787 | + | 0.0308017i | ||||
\(111\) | −1.29138e7 | −0.896236 | ||||||||
\(112\) | −1.96943e7 | + | 522270.i | −1.32457 | + | 0.0351263i | ||||
\(113\) | 1.07199e7 | 0.698899 | 0.349449 | − | 0.936955i | \(-0.386369\pi\) | ||||
0.349449 | + | 0.936955i | \(0.386369\pi\) | |||||||
\(114\) | 2.31763e7 | + | 9.42044e6i | 1.46513 | + | 0.595531i | ||||
\(115\) | 5.40689e6 | − | 5.40689e6i | 0.331516 | − | 0.331516i | ||||
\(116\) | 742909. | − | 9848.83i | 0.0441909 | − | 0.000585844i | ||||
\(117\) | 1.21383e7 | + | 1.21383e7i | 0.700660 | + | 0.700660i | ||||
\(118\) | −1.67639e7 | + | 7.07436e6i | −0.939263 | + | 0.396370i | ||||
\(119\) | 2.53013e7i | 1.37635i | ||||||||
\(120\) | −2.63514e7 | + | 1.15342e7i | −1.39210 | + | 0.609330i | ||||
\(121\) | − | 1.92902e7i | − | 0.989894i | ||||||
\(122\) | −6.12707e6 | − | 1.45191e7i | −0.305487 | − | 0.723903i | ||||
\(123\) | 3.70400e7 | + | 3.70400e7i | 1.79475 | + | 1.79475i | ||||
\(124\) | −837525. | − | 815609.i | −0.0394477 | − | 0.0384155i | ||||
\(125\) | 1.68095e7 | − | 1.68095e7i | 0.769787 | − | 0.769787i | ||||
\(126\) | 2.78692e7 | − | 6.85640e7i | 1.24116 | − | 3.05351i | ||||
\(127\) | −2.14599e7 | −0.929640 | −0.464820 | − | 0.885405i | \(-0.653881\pi\) | ||||
−0.464820 | + | 0.885405i | \(0.653881\pi\) | |||||||
\(128\) | −1.00867e7 | − | 2.14758e7i | −0.425122 | − | 0.905136i | ||||
\(129\) | 9.86131e6 | 0.404455 | ||||||||
\(130\) | −3.05736e6 | + | 7.52174e6i | −0.122052 | + | 0.300273i | ||||
\(131\) | −1.95903e6 | + | 1.95903e6i | −0.0761361 | + | 0.0761361i | −0.744149 | − | 0.668013i | \(-0.767145\pi\) |
0.668013 | + | 0.744149i | \(0.267145\pi\) | |||||||
\(132\) | −3.55398e6 | − | 3.46099e6i | −0.134495 | − | 0.130976i | ||||
\(133\) | −2.15285e7 | − | 2.15285e7i | −0.793474 | − | 0.793474i | ||||
\(134\) | 1.40063e7 | + | 3.31902e7i | 0.502871 | + | 1.19164i | ||||
\(135\) | − | 6.46213e7i | − | 2.26052i | ||||||
\(136\) | −2.79140e7 | + | 1.22181e7i | −0.951561 | + | 0.416504i | ||||
\(137\) | − | 3.21454e6i | − | 0.106806i | −0.998573 | − | 0.0534031i | \(-0.982993\pi\) | ||
0.998573 | − | 0.0534031i | \(-0.0170068\pi\) | |||||||
\(138\) | −3.06054e7 | + | 1.29155e7i | −0.991337 | + | 0.418344i | ||||
\(139\) | −2.99300e7 | − | 2.99300e7i | −0.945267 | − | 0.945267i | 0.0533107 | − | 0.998578i | \(-0.483023\pi\) |
−0.998578 | + | 0.0533107i | \(0.983023\pi\) | |||||||
\(140\) | 3.50034e7 | − | 464045.i | 1.07811 | − | 0.0142926i | ||||
\(141\) | −7.68565e7 | + | 7.68565e7i | −2.30894 | + | 2.30894i | ||||
\(142\) | 5.75372e7 | + | 2.33871e7i | 1.68632 | + | 0.685437i | ||||
\(143\) | −1.40024e6 | −0.0400431 | ||||||||
\(144\) | 8.91025e7 | − | 2.36290e6i | 2.48669 | − | 0.0659443i | ||||
\(145\) | −1.32017e6 | −0.0359619 | ||||||||
\(146\) | −4.44077e7 | − | 1.80504e7i | −1.18093 | − | 0.480011i | ||||
\(147\) | −3.84348e7 | + | 3.84348e7i | −0.997961 | + | 0.997961i | ||||
\(148\) | 250893. | + | 1.89251e7i | 0.00636169 | + | 0.479869i | ||||
\(149\) | 3.53474e7 | + | 3.53474e7i | 0.875397 | + | 0.875397i | 0.993054 | − | 0.117657i | \(-0.0375385\pi\) |
−0.117657 | + | 0.993054i | \(0.537538\pi\) | |||||||
\(150\) | −2.40293e7 | + | 1.01404e7i | −0.581329 | + | 0.245321i | ||||
\(151\) | − | 1.10574e7i | − | 0.261356i | −0.991425 | − | 0.130678i | \(-0.958285\pi\) | ||
0.991425 | − | 0.130678i | \(-0.0417153\pi\) | |||||||
\(152\) | 1.33554e7 | − | 3.41479e7i | 0.308464 | − | 0.788699i | ||||
\(153\) | − | 1.14470e8i | − | 2.58388i | ||||||
\(154\) | 2.34723e6 | + | 5.56215e6i | 0.0517885 | + | 0.122721i | ||||
\(155\) | 1.46883e6 | + | 1.46883e6i | 0.0316819 | + | 0.0316819i | ||||
\(156\) | 2.46091e7 | − | 2.52704e7i | 0.518991 | − | 0.532937i | ||||
\(157\) | −2.40003e7 | + | 2.40003e7i | −0.494958 | + | 0.494958i | −0.909864 | − | 0.414906i | \(-0.863814\pi\) |
0.414906 | + | 0.909864i | \(0.363814\pi\) | |||||||
\(158\) | 1.51057e7 | − | 3.71631e7i | 0.304677 | − | 0.749570i | ||||
\(159\) | 3.39475e7 | 0.669758 | ||||||||
\(160\) | 1.74153e7 | + | 3.83940e7i | 0.336134 | + | 0.741043i | ||||
\(161\) | 4.04267e7 | 0.763444 | ||||||||
\(162\) | −5.50244e7 | + | 1.35372e8i | −1.01684 | + | 2.50164i | ||||
\(163\) | 3.75312e7 | − | 3.75312e7i | 0.678791 | − | 0.678791i | −0.280936 | − | 0.959727i | \(-0.590645\pi\) |
0.959727 | + | 0.280936i | \(0.0906447\pi\) | |||||||
\(164\) | 5.35626e7 | − | 5.50019e7i | 0.948218 | − | 0.973697i | ||||
\(165\) | 6.23291e6 | + | 6.23291e6i | 0.108018 | + | 0.108018i | ||||
\(166\) | −1.11652e6 | − | 2.64577e6i | −0.0189446 | − | 0.0448925i | ||||
\(167\) | 9.47634e7i | 1.57447i | 0.616656 | + | 0.787233i | \(0.288487\pi\) | ||||
−0.616656 | + | 0.787233i | \(0.711513\pi\) | |||||||
\(168\) | −1.41633e8 | − | 5.53934e7i | −2.30453 | − | 0.901312i | ||||
\(169\) | 5.27922e7i | 0.841329i | ||||||||
\(170\) | 4.98832e7 | − | 2.10507e7i | 0.778722 | − | 0.328621i | ||||
\(171\) | 9.74012e7 | + | 9.74012e7i | 1.48963 | + | 1.48963i | ||||
\(172\) | −191589. | − | 1.44518e7i | −0.00287092 | − | 0.216557i | ||||
\(173\) | −3.79692e7 | + | 3.79692e7i | −0.557532 | + | 0.557532i | −0.928604 | − | 0.371072i | \(-0.878990\pi\) |
0.371072 | + | 0.928604i | \(0.378990\pi\) | |||||||
\(174\) | 5.31313e6 | + | 2.15962e6i | 0.0764589 | + | 0.0310782i | ||||
\(175\) | 3.17404e7 | 0.447691 | ||||||||
\(176\) | −5.00303e6 | + | 5.27561e6i | −0.0691734 | + | 0.0729421i | ||||
\(177\) | −1.40457e8 | −1.90387 | ||||||||
\(178\) | −2.75047e6 | − | 1.11798e6i | −0.0365541 | − | 0.0148581i | ||||
\(179\) | 2.43266e7 | − | 2.43266e7i | 0.317026 | − | 0.317026i | −0.530598 | − | 0.847624i | \(-0.678032\pi\) |
0.847624 | + | 0.530598i | \(0.178032\pi\) | |||||||
\(180\) | −1.58366e8 | + | 2.09947e6i | −2.02399 | + | 0.0268322i | ||||
\(181\) | −9.65728e7 | − | 9.65728e7i | −1.21054 | − | 1.21054i | −0.970849 | − | 0.239693i | \(-0.922953\pi\) |
−0.239693 | − | 0.970849i | \(-0.577047\pi\) | |||||||
\(182\) | −3.95493e7 | + | 1.66898e7i | −0.486283 | + | 0.205212i | ||||
\(183\) | − | 1.21649e8i | − | 1.46734i | ||||||
\(184\) | 1.95223e7 | + | 4.46013e7i | 0.231030 | + | 0.527820i | ||||
\(185\) | − | 3.36305e7i | − | 0.390511i | ||||||
\(186\) | −3.50862e6 | − | 8.31425e6i | −0.0399798 | − | 0.0947388i | ||||
\(187\) | 6.60251e6 | + | 6.60251e6i | 0.0738352 | + | 0.0738352i | ||||
\(188\) | 1.14126e8 | + | 1.11140e8i | 1.25266 | + | 1.21988i | ||||
\(189\) | 2.41583e8 | − | 2.41583e8i | 2.60285 | − | 2.60285i | ||||
\(190\) | −2.45331e7 | + | 6.03566e7i | −0.259487 | + | 0.638391i | ||||
\(191\) | 8.94372e6 | 0.0928756 | 0.0464378 | − | 0.998921i | \(-0.485213\pi\) | ||||
0.0464378 | + | 0.998921i | \(0.485213\pi\) | |||||||
\(192\) | −7.28192e6 | − | 1.83009e8i | −0.0742492 | − | 1.86602i | ||||
\(193\) | 1.39431e8 | 1.39607 | 0.698037 | − | 0.716062i | \(-0.254057\pi\) | ||||
0.698037 | + | 0.716062i | \(0.254057\pi\) | |||||||
\(194\) | 6.54251e7 | − | 1.60959e8i | 0.643336 | − | 1.58274i | ||||
\(195\) | −4.43187e7 | + | 4.43187e7i | −0.428022 | + | 0.428022i | ||||
\(196\) | 5.70729e7 | + | 5.55795e7i | 0.541420 | + | 0.527252i | ||||
\(197\) | −1.05806e8 | − | 1.05806e8i | −0.986004 | − | 0.986004i | 0.0138997 | − | 0.999903i | \(-0.495575\pi\) |
−0.999903 | + | 0.0138997i | \(0.995575\pi\) | |||||||
\(198\) | −1.06195e7 | − | 2.51648e7i | −0.0972250 | − | 0.230391i | ||||
\(199\) | 1.09713e8i | 0.986899i | 0.869774 | + | 0.493449i | \(0.164264\pi\) | ||||
−0.869774 | + | 0.493449i | \(0.835736\pi\) | |||||||
\(200\) | 1.53276e7 | + | 3.50180e7i | 0.135478 | + | 0.309519i | ||||
\(201\) | 2.78086e8i | 2.41542i | ||||||||
\(202\) | −6.27196e7 | + | 2.64677e7i | −0.535394 | + | 0.225936i | ||||
\(203\) | −4.93538e6 | − | 4.93538e6i | −0.0414080 | − | 0.0414080i | ||||
\(204\) | −2.35195e8 | + | 3.11801e6i | −1.93964 | + | 0.0257141i | ||||
\(205\) | −9.64612e7 | + | 9.64612e7i | −0.782013 | + | 0.782013i | ||||
\(206\) | −1.44464e8 | − | 5.87202e7i | −1.15140 | − | 0.468007i | ||||
\(207\) | −1.82902e8 | −1.43325 | ||||||||
\(208\) | −3.75119e7 | − | 3.55738e7i | −0.289033 | − | 0.274099i | ||||
\(209\) | −1.12360e7 | −0.0851330 | ||||||||
\(210\) | 2.50337e8 | + | 1.01754e8i | 1.86534 | + | 0.758204i | ||||
\(211\) | 1.50429e8 | − | 1.50429e8i | 1.10241 | − | 1.10241i | 0.108288 | − | 0.994120i | \(-0.465463\pi\) |
0.994120 | − | 0.108288i | \(-0.0345370\pi\) | |||||||
\(212\) | −659544. | − | 4.97501e7i | −0.00475410 | − | 0.358607i | ||||
\(213\) | 3.39014e8 | + | 3.39014e8i | 2.40375 | + | 2.40375i | ||||
\(214\) | −6.09985e7 | + | 2.57414e7i | −0.425472 | + | 0.179549i | ||||
\(215\) | 2.56812e7i | 0.176231i | ||||||||
\(216\) | 3.83192e8 | + | 1.49868e8i | 2.58719 | + | 1.01186i | ||||
\(217\) | 1.09823e7i | 0.0729599i | ||||||||
\(218\) | −3.19748e7 | − | 7.57695e7i | −0.209031 | − | 0.495333i | ||||
\(219\) | −2.61654e8 | − | 2.61654e8i | −1.68334 | − | 1.68334i | ||||
\(220\) | 9.01324e6 | − | 9.25543e6i | 0.0570692 | − | 0.0586027i | ||||
\(221\) | −4.69467e7 | + | 4.69467e7i | −0.292572 | + | 0.292572i | ||||
\(222\) | −5.50151e7 | + | 1.35349e8i | −0.337479 | + | 0.830269i | ||||
\(223\) | 2.61269e7 | 0.157768 | 0.0788842 | − | 0.996884i | \(-0.474864\pi\) | ||||
0.0788842 | + | 0.996884i | \(0.474864\pi\) | |||||||
\(224\) | −7.84274e7 | + | 2.08640e8i | −0.466230 | + | 1.24031i | ||||
\(225\) | −1.43603e8 | −0.840472 | ||||||||
\(226\) | 4.56686e7 | − | 1.12354e8i | 0.263171 | − | 0.647457i | ||||
\(227\) | −8.25829e7 | + | 8.25829e7i | −0.468597 | + | 0.468597i | −0.901460 | − | 0.432863i | \(-0.857504\pi\) |
0.432863 | + | 0.901460i | \(0.357504\pi\) | |||||||
\(228\) | 1.97471e8 | − | 2.02777e8i | 1.10339 | − | 1.13304i | ||||
\(229\) | −6.46397e7 | − | 6.46397e7i | −0.355693 | − | 0.355693i | 0.506530 | − | 0.862223i | \(-0.330928\pi\) |
−0.862223 | + | 0.506530i | \(0.830928\pi\) | |||||||
\(230\) | −3.36351e7 | − | 7.97038e7i | −0.182282 | − | 0.431948i | ||||
\(231\) | 4.66027e7i | 0.248754i | ||||||||
\(232\) | 3.06171e6 | − | 7.82836e6i | 0.0160974 | − | 0.0411588i | ||||
\(233\) | − | 1.31897e8i | − | 0.683109i | −0.939862 | − | 0.341555i | \(-0.889047\pi\) | ||
0.939862 | − | 0.341555i | \(-0.110953\pi\) | |||||||
\(234\) | 1.78933e8 | − | 7.55096e7i | 0.912922 | − | 0.385254i | ||||
\(235\) | −2.00153e8 | − | 2.00153e8i | −1.00606 | − | 1.00606i | ||||
\(236\) | 2.72884e6 | + | 2.05840e8i | 0.0135141 | + | 1.01938i | ||||
\(237\) | 2.18968e8 | − | 2.18968e8i | 1.06847 | − | 1.06847i | ||||
\(238\) | 2.65182e8 | + | 1.07788e8i | 1.27504 | + | 0.518266i | ||||
\(239\) | 1.29899e8 | 0.615478 | 0.307739 | − | 0.951471i | \(-0.400428\pi\) | ||||
0.307739 | + | 0.951471i | \(0.400428\pi\) | |||||||
\(240\) | 8.62730e6 | + | 3.25326e8i | 0.0402843 | + | 1.51908i | ||||
\(241\) | −1.44120e8 | −0.663233 | −0.331616 | − | 0.943414i | \(-0.607594\pi\) | ||||
−0.331616 | + | 0.943414i | \(0.607594\pi\) | |||||||
\(242\) | −2.02180e8 | − | 8.21802e7i | −0.917034 | − | 0.372746i | ||||
\(243\) | −3.58238e8 | + | 3.58238e8i | −1.60158 | + | 1.60158i | ||||
\(244\) | −1.78277e8 | + | 2.36344e6i | −0.785653 | + | 0.0104155i | ||||
\(245\) | −1.00093e8 | − | 1.00093e8i | −0.434835 | − | 0.434835i | ||||
\(246\) | 5.46013e8 | − | 2.30418e8i | 2.33846 | − | 0.986831i | ||||
\(247\) | − | 7.98926e7i | − | 0.337339i | ||||||
\(248\) | −1.21164e7 | + | 5.30342e6i | −0.0504420 | + | 0.0220788i | ||||
\(249\) | − | 2.21677e7i | − | 0.0909961i | ||||||
\(250\) | −1.04568e8 | − | 2.47792e8i | −0.423263 | − | 1.00299i | ||||
\(251\) | 3.49428e7 | + | 3.49428e7i | 0.139476 | + | 0.139476i | 0.773398 | − | 0.633921i | \(-0.218556\pi\) |
−0.633921 | + | 0.773398i | \(0.718556\pi\) | |||||||
\(252\) | −5.99890e8 | − | 5.84192e8i | −2.36140 | − | 2.29961i | ||||
\(253\) | 1.05496e7 | − | 1.05496e7i | 0.0409555 | − | 0.0409555i | ||||
\(254\) | −9.14234e7 | + | 2.24921e8i | −0.350057 | + | 0.861215i | ||||
\(255\) | 4.17948e8 | 1.57845 | ||||||||
\(256\) | −2.68058e8 | + | 1.42272e7i | −0.998594 | + | 0.0530006i | ||||
\(257\) | 3.00776e8 | 1.10529 | 0.552647 | − | 0.833416i | \(-0.313618\pi\) | ||||
0.552647 | + | 0.833416i | \(0.313618\pi\) | |||||||
\(258\) | 4.20111e7 | − | 1.03356e8i | 0.152298 | − | 0.374686i | ||||
\(259\) | 1.25726e8 | − | 1.25726e8i | 0.449651 | − | 0.449651i | ||||
\(260\) | 6.58102e7 | + | 6.40881e7i | 0.232213 | + | 0.226137i | ||||
\(261\) | 2.23291e7 | + | 2.23291e7i | 0.0777373 | + | 0.0777373i | ||||
\(262\) | 1.21867e7 | + | 2.88783e7i | 0.0418630 | + | 0.0992013i | ||||
\(263\) | 3.76784e8i | 1.27716i | 0.769553 | + | 0.638582i | \(0.220479\pi\) | ||||
−0.769553 | + | 0.638582i | \(0.779521\pi\) | |||||||
\(264\) | −5.14151e7 | + | 2.25047e7i | −0.171980 | + | 0.0752766i | ||||
\(265\) | 8.84075e7i | 0.291829i | ||||||||
\(266\) | −3.17355e8 | + | 1.33924e8i | −1.03386 | + | 0.436287i | ||||
\(267\) | −1.62060e7 | − | 1.62060e7i | −0.0521058 | − | 0.0521058i | ||||
\(268\) | 4.07535e8 | − | 5.40275e6i | 1.29328 | − | 0.0171452i | ||||
\(269\) | 1.16914e8 | − | 1.16914e8i | 0.366214 | − | 0.366214i | −0.499881 | − | 0.866094i | \(-0.666623\pi\) |
0.866094 | + | 0.499881i | \(0.166623\pi\) | |||||||
\(270\) | −6.77294e8 | − | 2.75299e8i | −2.09413 | − | 0.851201i | ||||
\(271\) | 4.28052e8 | 1.30648 | 0.653242 | − | 0.757149i | \(-0.273408\pi\) | ||||
0.653242 | + | 0.757149i | \(0.273408\pi\) | |||||||
\(272\) | 9.13889e6 | + | 3.44618e8i | 0.0275361 | + | 1.03836i | ||||
\(273\) | −3.31366e8 | −0.985685 | ||||||||
\(274\) | −3.36915e7 | − | 1.36945e7i | −0.0989448 | − | 0.0402180i | ||||
\(275\) | 8.28282e6 | − | 8.28282e6i | 0.0240167 | − | 0.0240167i | ||||
\(276\) | 4.98198e6 | + | 3.75797e8i | 0.0142633 | + | 1.07590i | ||||
\(277\) | 2.81665e8 | + | 2.81665e8i | 0.796259 | + | 0.796259i | 0.982503 | − | 0.186245i | \(-0.0596317\pi\) |
−0.186245 | + | 0.982503i | \(0.559632\pi\) | |||||||
\(278\) | −4.41203e8 | + | 1.86188e8i | −1.23163 | + | 0.519750i | ||||
\(279\) | − | 4.96871e7i | − | 0.136971i | ||||||
\(280\) | 1.44258e8 | − | 3.68847e8i | 0.392723 | − | 1.00414i | ||||
\(281\) | − | 1.55429e7i | − | 0.0417888i | −0.999782 | − | 0.0208944i | \(-0.993349\pi\) | ||
0.999782 | − | 0.0208944i | \(-0.00665138\pi\) | |||||||
\(282\) | 4.78107e8 | + | 1.13295e9i | 1.26956 | + | 3.00843i | ||||
\(283\) | 2.73861e8 | + | 2.73861e8i | 0.718253 | + | 0.718253i | 0.968247 | − | 0.249994i | \(-0.0804287\pi\) |
−0.249994 | + | 0.968247i | \(0.580429\pi\) | |||||||
\(284\) | 4.90239e8 | − | 5.03412e8i | 1.26997 | − | 1.30410i | ||||
\(285\) | −3.55626e8 | + | 3.55626e8i | −0.909990 | + | 0.909990i | ||||
\(286\) | −5.96531e6 | + | 1.46759e7i | −0.0150783 | + | 0.0370957i | ||||
\(287\) | −7.21229e8 | −1.80089 | ||||||||
\(288\) | 3.54828e8 | − | 9.43947e8i | 0.875275 | − | 2.32849i | ||||
\(289\) | 3.23934e7 | 0.0789430 | ||||||||
\(290\) | −5.62418e6 | + | 1.38367e7i | −0.0135415 | + | 0.0333149i | ||||
\(291\) | 9.48386e8 | − | 9.48386e8i | 2.25611 | − | 2.25611i | ||||
\(292\) | −3.78371e8 | + | 3.88538e8i | −0.889360 | + | 0.913258i | ||||
\(293\) | −2.08481e8 | − | 2.08481e8i | −0.484206 | − | 0.484206i | 0.422266 | − | 0.906472i | \(-0.361235\pi\) |
−0.906472 | + | 0.422266i | \(0.861235\pi\) | |||||||
\(294\) | 2.39094e8 | + | 5.66573e8i | 0.548723 | + | 1.30029i | ||||
\(295\) | − | 3.65784e8i | − | 0.829559i | ||||||
\(296\) | 1.99423e8 | + | 7.79951e7i | 0.446944 | + | 0.174802i | ||||
\(297\) | − | 1.26085e8i | − | 0.279264i | ||||||
\(298\) | 5.21061e8 | − | 2.19888e8i | 1.14060 | − | 0.481332i | ||||
\(299\) | 7.50120e7 | + | 7.50120e7i | 0.162286 | + | 0.162286i | ||||
\(300\) | 3.91153e6 | + | 2.95051e8i | 0.00836415 | + | 0.630917i | ||||
\(301\) | −9.60078e7 | + | 9.60078e7i | −0.202919 | + | 0.202919i | ||||
\(302\) | −1.15892e8 | − | 4.71065e7i | −0.242119 | − | 0.0984138i | ||||
\(303\) | −5.25499e8 | −1.08523 | ||||||||
\(304\) | −3.01006e8 | − | 2.85454e8i | −0.614495 | − | 0.582745i | ||||
\(305\) | 3.16803e8 | 0.639352 | ||||||||
\(306\) | −1.19976e9 | − | 4.87666e8i | −2.39370 | − | 0.972965i | ||||
\(307\) | −6.18048e8 | + | 6.18048e8i | −1.21910 | + | 1.21910i | −0.251148 | + | 0.967949i | \(0.580808\pi\) |
−0.967949 | + | 0.251148i | \(0.919192\pi\) | |||||||
\(308\) | 6.82964e7 | − | 905414.i | 0.133190 | − | 0.00176571i | ||||
\(309\) | −8.51194e8 | − | 8.51194e8i | −1.64125 | − | 1.64125i | ||||
\(310\) | 2.16523e7 | − | 9.13729e6i | 0.0412799 | − | 0.0174201i | ||||
\(311\) | 5.41827e7i | 0.102141i | 0.998695 | + | 0.0510704i | \(0.0162633\pi\) | ||||
−0.998695 | + | 0.0510704i | \(0.983737\pi\) | |||||||
\(312\) | −1.60019e8 | − | 3.65584e8i | −0.298283 | − | 0.681469i | ||||
\(313\) | 9.15920e8i | 1.68831i | 0.536099 | + | 0.844155i | \(0.319898\pi\) | ||||
−0.536099 | + | 0.844155i | \(0.680102\pi\) | |||||||
\(314\) | 1.49301e8 | + | 3.53793e8i | 0.272150 | + | 0.644904i | ||||
\(315\) | 1.05207e9 | + | 1.05207e9i | 1.89653 | + | 1.89653i | ||||
\(316\) | −3.25153e8 | − | 3.16644e8i | −0.579672 | − | 0.564504i | ||||
\(317\) | 3.83951e8 | − | 3.83951e8i | 0.676968 | − | 0.676968i | −0.282345 | − | 0.959313i | \(-0.591112\pi\) |
0.959313 | + | 0.282345i | \(0.0911122\pi\) | |||||||
\(318\) | 1.44623e8 | − | 3.55803e8i | 0.252198 | − | 0.620461i | ||||
\(319\) | −2.57583e6 | −0.00444273 | ||||||||
\(320\) | 4.76599e8 | − | 1.89639e7i | 0.813070 | − | 0.0323521i | ||||
\(321\) | −5.11079e8 | −0.862423 | ||||||||
\(322\) | 1.72225e8 | − | 4.23711e8i | 0.287476 | − | 0.707252i | ||||
\(323\) | −3.76714e8 | + | 3.76714e8i | −0.622018 | + | 0.622018i | ||||
\(324\) | 1.18441e9 | + | 1.15342e9i | 1.93462 | + | 1.88399i | ||||
\(325\) | 5.88945e7 | + | 5.88945e7i | 0.0951662 | + | 0.0951662i | ||||
\(326\) | −2.33473e8 | − | 5.53254e8i | −0.373229 | − | 0.884429i | ||||
\(327\) | − | 6.34838e8i | − | 1.00403i | ||||||
\(328\) | −3.48286e8 | − | 7.95707e8i | −0.544976 | − | 1.24507i | ||||
\(329\) | − | 1.49652e9i | − | 2.31684i | ||||||
\(330\) | 9.18803e7 | − | 3.87735e7i | 0.140742 | − | 0.0593932i | ||||
\(331\) | −1.82269e8 | − | 1.82269e8i | −0.276258 | − | 0.276258i | 0.555355 | − | 0.831613i | \(-0.312582\pi\) |
−0.831613 | + | 0.555355i | \(0.812582\pi\) | |||||||
\(332\) | −3.24868e7 | + | 430682.i | −0.0487218 | + | 0.000645911i | ||||
\(333\) | −5.68820e8 | + | 5.68820e8i | −0.844151 | + | 0.844151i | ||||
\(334\) | 9.93213e8 | + | 4.03710e8i | 1.45858 | + | 0.592867i | ||||
\(335\) | −7.24203e8 | −1.05245 | ||||||||
\(336\) | −1.18396e9 | + | 1.24847e9i | −1.70275 | + | 1.79552i | ||||
\(337\) | 4.15826e8 | 0.591843 | 0.295921 | − | 0.955212i | \(-0.404373\pi\) | ||||
0.295921 | + | 0.955212i | \(0.404373\pi\) | |||||||
\(338\) | 5.53313e8 | + | 2.24905e8i | 0.779404 | + | 0.316804i | ||||
\(339\) | 6.62002e8 | − | 6.62002e8i | 0.922912 | − | 0.922912i | ||||
\(340\) | −8.12004e6 | − | 6.12504e8i | −0.0112042 | − | 0.845148i | ||||
\(341\) | 2.86589e6 | + | 2.86589e6i | 0.00391399 | + | 0.00391399i | ||||
\(342\) | 1.43581e9 | − | 6.05911e8i | 1.94091 | − | 0.819063i | ||||
\(343\) | 2.41894e8i | 0.323666i | ||||||||
\(344\) | −1.52285e8 | − | 5.95593e7i | −0.201698 | − | 0.0788851i | ||||
\(345\) | − | 6.67802e8i | − | 0.875550i | ||||||
\(346\) | 2.36198e8 | + | 5.59710e8i | 0.306556 | + | 0.726435i | ||||
\(347\) | −1.16993e8 | − | 1.16993e8i | −0.150316 | − | 0.150316i | 0.627943 | − | 0.778259i | \(-0.283897\pi\) |
−0.778259 | + | 0.627943i | \(0.783897\pi\) | |||||||
\(348\) | 4.52699e7 | − | 4.64863e7i | 0.0575814 | − | 0.0591287i | ||||
\(349\) | −9.43121e8 | + | 9.43121e8i | −1.18762 | + | 1.18762i | −0.209900 | + | 0.977723i | \(0.567314\pi\) |
−0.977723 | + | 0.209900i | \(0.932686\pi\) | |||||||
\(350\) | 1.35220e8 | − | 3.32670e8i | 0.168579 | − | 0.414739i | ||||
\(351\) | 8.96518e8 | 1.10658 | ||||||||
\(352\) | 3.39796e7 | + | 7.49118e7i | 0.0415259 | + | 0.0915484i | ||||
\(353\) | −2.66226e8 | −0.322136 | −0.161068 | − | 0.986943i | \(-0.551494\pi\) | ||||
−0.161068 | + | 0.986943i | \(0.551494\pi\) | |||||||
\(354\) | −5.98373e8 | + | 1.47212e9i | −0.716904 | + | 1.76373i | ||||
\(355\) | −8.82875e8 | + | 8.82875e8i | −1.04737 | + | 1.04737i | ||||
\(356\) | −2.34350e7 | + | 2.40648e7i | −0.0275290 | + | 0.0282687i | ||||
\(357\) | 1.56247e9 | + | 1.56247e9i | 1.81750 | + | 1.81750i | ||||
\(358\) | −1.51330e8 | − | 3.58602e8i | −0.174315 | − | 0.413068i | ||||
\(359\) | 6.82905e8i | 0.778987i | 0.921029 | + | 0.389493i | \(0.127350\pi\) | ||||
−0.921029 | + | 0.389493i | \(0.872650\pi\) | |||||||
\(360\) | −6.52664e8 | + | 1.66877e9i | −0.737277 | + | 1.88511i | ||||
\(361\) | 2.52791e8i | 0.282804i | ||||||||
\(362\) | −1.42359e9 | + | 6.00758e8i | −1.57727 | + | 0.665609i | ||||
\(363\) | −1.19126e9 | − | 1.19126e9i | −1.30718 | − | 1.30718i | ||||
\(364\) | 6.43789e6 | + | 4.85617e8i | 0.00699662 | + | 0.527763i | ||||
\(365\) | 6.81410e8 | − | 6.81410e8i | 0.733472 | − | 0.733472i | ||||
\(366\) | −1.27500e9 | − | 5.18248e8i | −1.35933 | − | 0.552528i | ||||
\(367\) | −2.05790e8 | −0.217316 | −0.108658 | − | 0.994079i | \(-0.534655\pi\) | ||||
−0.108658 | + | 0.994079i | \(0.534655\pi\) | |||||||
\(368\) | 5.50634e8 | − | 1.46022e7i | 0.575965 | − | 0.0152740i | ||||
\(369\) | 3.26305e9 | 3.38089 | ||||||||
\(370\) | −3.52481e8 | − | 1.43273e8i | −0.361767 | − | 0.147047i | ||||
\(371\) | −3.30506e8 | + | 3.30506e8i | −0.336025 | + | 0.336025i | ||||
\(372\) | −1.02089e8 | + | 1.35340e6i | −0.102820 | + | 0.00136310i | ||||
\(373\) | 1.39903e8 | + | 1.39903e8i | 0.139588 | + | 0.139588i | 0.773448 | − | 0.633860i | \(-0.218530\pi\) |
−0.633860 | + | 0.773448i | \(0.718530\pi\) | |||||||
\(374\) | 9.73287e7 | − | 4.10728e7i | 0.0962034 | − | 0.0405979i | ||||
\(375\) | − | 2.07614e9i | − | 2.03304i | ||||||
\(376\) | 1.65106e9 | − | 7.22678e8i | 1.60179 | − | 0.701112i | ||||
\(377\) | − | 1.83153e7i | − | 0.0176043i | ||||||
\(378\) | −1.50283e9 | − | 3.56121e9i | −1.43116 | − | 3.39138i | ||||
\(379\) | 3.01841e7 | + | 3.01841e7i | 0.0284801 | + | 0.0284801i | 0.721203 | − | 0.692723i | \(-0.243589\pi\) |
−0.692723 | + | 0.721203i | \(0.743589\pi\) | |||||||
\(380\) | 5.28080e8 | + | 5.14261e8i | 0.493693 | + | 0.480774i | ||||
\(381\) | −1.32525e9 | + | 1.32525e9i | −1.22761 | + | 1.22761i | ||||
\(382\) | 3.81020e7 | − | 9.37389e7i | 0.0349724 | − | 0.0860396i | ||||
\(383\) | 1.42433e9 | 1.29543 | 0.647717 | − | 0.761881i | \(-0.275724\pi\) | ||||
0.647717 | + | 0.761881i | \(0.275724\pi\) | |||||||
\(384\) | −1.94913e9 | − | 7.03331e8i | −1.75664 | − | 0.633870i | ||||
\(385\) | −1.21365e8 | −0.108388 | ||||||||
\(386\) | 5.94002e8 | − | 1.46137e9i | 0.525694 | − | 1.29332i | ||||
\(387\) | 4.34367e8 | − | 4.34367e8i | 0.380950 | − | 0.380950i | ||||
\(388\) | −1.40829e9 | − | 1.37144e9i | −1.22400 | − | 1.19197i | ||||
\(389\) | 1.23137e9 | + | 1.23137e9i | 1.06063 | + | 1.06063i | 0.998039 | + | 0.0625913i | \(0.0199365\pi\) |
0.0625913 | + | 0.998039i | \(0.480064\pi\) | |||||||
\(390\) | 2.75697e8 | + | 6.53309e8i | 0.235345 | + | 0.557690i | ||||
\(391\) | − | 7.07402e8i | − | 0.598477i | ||||||
\(392\) | 8.25669e8 | − | 3.61400e8i | 0.692316 | − | 0.303031i | ||||
\(393\) | 2.41958e8i | 0.201079i | ||||||||
\(394\) | −1.55970e9 | + | 6.58196e8i | −1.28471 | + | 0.542148i | ||||
\(395\) | 5.70246e8 | + | 5.70246e8i | 0.465557 | + | 0.465557i | ||||
\(396\) | −3.08993e8 | + | 4.09635e6i | −0.250043 | + | 0.00331485i | ||||
\(397\) | 1.48636e9 | − | 1.48636e9i | 1.19223 | − | 1.19223i | 0.215784 | − | 0.976441i | \(-0.430769\pi\) |
0.976441 | − | 0.215784i | \(-0.0692308\pi\) | |||||||
\(398\) | 1.14990e9 | + | 4.67399e8i | 0.914259 | + | 0.371618i | ||||
\(399\) | −2.65897e9 | −2.09560 | ||||||||
\(400\) | 4.32322e8 | − | 1.14647e7i | 0.337751 | − | 0.00895680i | ||||
\(401\) | −1.01690e9 | −0.787544 | −0.393772 | − | 0.919208i | \(-0.628830\pi\) | ||||
−0.393772 | + | 0.919208i | \(0.628830\pi\) | |||||||
\(402\) | 2.91461e9 | + | 1.18470e9i | 2.23763 | + | 0.909530i | ||||
\(403\) | −2.03777e7 | + | 2.03777e7i | −0.0155092 | + | 0.0155092i | ||||
\(404\) | 1.02096e7 | + | 7.70119e8i | 0.00770323 | + | 0.581063i | ||||
\(405\) | −2.07720e9 | − | 2.07720e9i | −1.55376 | − | 1.55376i | ||||
\(406\) | −7.27533e7 | + | 3.07019e7i | −0.0539525 | + | 0.0227680i | ||||
\(407\) | − | 6.56177e7i | − | 0.0482437i | ||||||
\(408\) | −9.69295e8 | + | 2.47835e9i | −0.706554 | + | 1.80656i | ||||
\(409\) | 5.67432e8i | 0.410093i | 0.978752 | + | 0.205046i | \(0.0657345\pi\) | ||||
−0.978752 | + | 0.205046i | \(0.934266\pi\) | |||||||
\(410\) | 6.00063e8 | + | 1.42195e9i | 0.429985 | + | 1.01892i | ||||
\(411\) | −1.98513e8 | − | 1.98513e8i | −0.141040 | − | 0.141040i | ||||
\(412\) | −1.23089e9 | + | 1.26396e9i | −0.867119 | + | 0.890419i | ||||
\(413\) | 1.36746e9 | − | 1.36746e9i | 0.955190 | − | 0.955190i | ||||
\(414\) | −7.79198e8 | + | 1.91699e9i | −0.539693 | + | 1.32776i | ||||
\(415\) | 5.77300e7 | 0.0396491 | ||||||||
\(416\) | −5.32656e8 | + | 2.41610e8i | −0.362760 | + | 0.164546i | ||||
\(417\) | −3.69664e9 | −2.49649 | ||||||||
\(418\) | −4.78673e7 | + | 1.17764e8i | −0.0320570 | + | 0.0788669i | ||||
\(419\) | 1.16751e9 | − | 1.16751e9i | 0.775372 | − | 0.775372i | −0.203668 | − | 0.979040i | \(-0.565286\pi\) |
0.979040 | + | 0.203668i | \(0.0652863\pi\) | |||||||
\(420\) | 2.13297e9 | − | 2.19029e9i | 1.40479 | − | 1.44254i | ||||
\(421\) | −1.41024e9 | − | 1.41024e9i | −0.921096 | − | 0.921096i | 0.0760111 | − | 0.997107i | \(-0.475782\pi\) |
−0.997107 | + | 0.0760111i | \(0.975782\pi\) | |||||||
\(422\) | −9.35784e8 | − | 2.21750e9i | −0.606153 | − | 1.43638i | ||||
\(423\) | 6.77069e9i | 4.34952i | ||||||||
\(424\) | −5.24240e8 | − | 2.05033e8i | −0.334002 | − | 0.130630i | ||||
\(425\) | − | 5.55405e8i | − | 0.350953i | ||||||
\(426\) | 4.99746e9 | − | 2.10893e9i | 3.13196 | − | 1.32169i | ||||
\(427\) | 1.18435e9 | + | 1.18435e9i | 0.736178 | + | 0.736178i | ||||
\(428\) | 9.92941e6 | + | 7.48987e8i | 0.00612168 | + | 0.461765i | ||||
\(429\) | −8.64717e7 | + | 8.64717e7i | −0.0528778 | + | 0.0528778i | ||||
\(430\) | 2.69164e8 | + | 1.09407e8i | 0.163259 | + | 0.0663599i | ||||
\(431\) | −1.12113e9 | −0.674503 | −0.337252 | − | 0.941415i | \(-0.609497\pi\) | ||||
−0.337252 | + | 0.941415i | \(0.609497\pi\) | |||||||
\(432\) | 3.20324e9 | − | 3.37776e9i | 1.91159 | − | 2.01574i | ||||
\(433\) | 2.87439e8 | 0.170153 | 0.0850763 | − | 0.996374i | \(-0.472887\pi\) | ||||
0.0850763 | + | 0.996374i | \(0.472887\pi\) | |||||||
\(434\) | 1.15105e8 | + | 4.67867e7i | 0.0675897 | + | 0.0274732i | ||||
\(435\) | −8.15268e7 | + | 8.15268e7i | −0.0474885 | + | 0.0474885i | ||||
\(436\) | −9.30357e8 | + | 1.23339e7i | −0.537585 | + | 0.00712683i | ||||
\(437\) | 6.01918e8 | + | 6.01918e8i | 0.345026 | + | 0.345026i | ||||
\(438\) | −3.85708e9 | + | 1.62769e9i | −2.19331 | + | 0.925577i | ||||
\(439\) | − | 2.85117e9i | − | 1.60841i | −0.594349 | − | 0.804207i | \(-0.702590\pi\) | ||
0.594349 | − | 0.804207i | \(-0.297410\pi\) | |||||||
\(440\) | −5.86078e7 | − | 1.33897e8i | −0.0327998 | − | 0.0749356i | ||||
\(441\) | 3.38592e9i | 1.87993i | ||||||||
\(442\) | 2.92045e8 | + | 6.92050e8i | 0.160869 | + | 0.381206i | ||||
\(443\) | 4.04267e8 | + | 4.04267e8i | 0.220930 | + | 0.220930i | 0.808890 | − | 0.587960i | \(-0.200069\pi\) |
−0.587960 | + | 0.808890i | \(0.700069\pi\) | |||||||
\(444\) | 1.18421e9 | + | 1.15322e9i | 0.642079 | + | 0.625278i | ||||
\(445\) | 4.22043e7 | − | 4.22043e7i | 0.0227037 | − | 0.0227037i | ||||
\(446\) | 1.11305e8 | − | 2.73835e8i | 0.0594079 | − | 0.146156i | ||||
\(447\) | 4.36573e9 | 2.31196 | ||||||||
\(448\) | 1.85263e9 | + | 1.71084e9i | 0.973456 | + | 0.898952i | ||||
\(449\) | −7.72327e8 | −0.402660 | −0.201330 | − | 0.979523i | \(-0.564526\pi\) | ||||
−0.201330 | + | 0.979523i | \(0.564526\pi\) | |||||||
\(450\) | −6.11775e8 | + | 1.50509e9i | −0.316481 | + | 0.778610i | ||||
\(451\) | −1.88209e8 | + | 1.88209e8i | −0.0966099 | + | 0.0966099i | ||||
\(452\) | −9.83027e8 | − | 9.57303e8i | −0.500704 | − | 0.487602i | ||||
\(453\) | −6.82844e8 | − | 6.82844e8i | −0.345126 | − | 0.345126i | ||||
\(454\) | 5.13730e8 | + | 1.21737e9i | 0.257656 | + | 0.610557i | ||||
\(455\) | − | 8.62956e8i | − | 0.429486i | ||||||
\(456\) | −1.28403e9 | − | 2.93355e9i | −0.634161 | − | 1.44883i | ||||
\(457\) | 1.74188e9i | 0.853714i | 0.904319 | + | 0.426857i | \(0.140379\pi\) | ||||
−0.904319 | + | 0.426857i | \(0.859621\pi\) | |||||||
\(458\) | −9.52865e8 | + | 4.02109e8i | −0.463449 | + | 0.195576i | ||||
\(459\) | −4.22731e9 | − | 4.22731e9i | −2.04042 | − | 2.04042i | ||||
\(460\) | −9.78666e8 | + | 1.29743e7i | −0.468794 | + | 0.00621486i | ||||
\(461\) | 3.94690e8 | − | 3.94690e8i | 0.187630 | − | 0.187630i | −0.607041 | − | 0.794671i | \(-0.707644\pi\) |
0.794671 | + | 0.607041i | \(0.207644\pi\) | |||||||
\(462\) | 4.88442e8 | + | 1.98537e8i | 0.230444 | + | 0.0936685i | ||||
\(463\) | 1.89577e9 | 0.887671 | 0.443835 | − | 0.896108i | \(-0.353618\pi\) | ||||
0.443835 | + | 0.896108i | \(0.353618\pi\) | |||||||
\(464\) | −6.90054e7 | − | 6.54400e7i | −0.0320679 | − | 0.0304110i | ||||
\(465\) | 1.81415e8 | 0.0836735 | ||||||||
\(466\) | −1.38241e9 | − | 5.61908e8i | −0.632829 | − | 0.257226i | ||||
\(467\) | −1.55488e9 | + | 1.55488e9i | −0.706459 | + | 0.706459i | −0.965789 | − | 0.259330i | \(-0.916498\pi\) |
0.259330 | + | 0.965789i | \(0.416498\pi\) | |||||||
\(468\) | −2.91269e7 | − | 2.19707e9i | −0.0131351 | − | 0.990795i | ||||
\(469\) | −2.70739e9 | − | 2.70739e9i | −1.21184 | − | 1.21184i | ||||
\(470\) | −2.95049e9 | + | 1.24511e9i | −1.31084 | + | 0.553177i | ||||
\(471\) | 2.96427e9i | 1.30721i | ||||||||
\(472\) | 2.16903e9 | + | 8.48316e8i | 0.949441 | + | 0.371331i | ||||
\(473\) | 5.01075e7i | 0.0217715i | ||||||||
\(474\) | −1.36215e9 | − | 3.22785e9i | −0.587491 | − | 1.39216i | ||||
\(475\) | 4.72586e8 | + | 4.72586e8i | 0.202327 | + | 0.202327i | ||||
\(476\) | 2.25945e9 | − | 2.32017e9i | 0.960239 | − | 0.986041i | ||||
\(477\) | 1.49531e9 | − | 1.49531e9i | 0.630835 | − | 0.630835i | ||||
\(478\) | 5.53394e8 | − | 1.36147e9i | 0.231759 | − | 0.570176i | ||||
\(479\) | −9.27374e8 | −0.385550 | −0.192775 | − | 0.981243i | \(-0.561749\pi\) | ||||
−0.192775 | + | 0.981243i | \(0.561749\pi\) | |||||||
\(480\) | 3.44649e9 | + | 1.29553e9i | 1.42244 | + | 0.534692i | ||||
\(481\) | 4.66570e8 | 0.191165 | ||||||||
\(482\) | −6.13981e8 | + | 1.51052e9i | −0.249741 | + | 0.614416i | ||||
\(483\) | 2.49654e9 | − | 2.49654e9i | 1.00815 | − | 1.00815i | ||||
\(484\) | −1.72266e9 | + | 1.76894e9i | −0.690621 | + | 0.709178i | ||||
\(485\) | 2.46983e9 | + | 2.46983e9i | 0.983038 | + | 0.983038i | ||||
\(486\) | 2.22852e9 | + | 5.28084e9i | 0.880621 | + | 2.08678i | ||||
\(487\) | − | 3.35907e9i | − | 1.31786i | −0.752206 | − | 0.658929i | \(-0.771010\pi\) | ||
0.752206 | − | 0.658929i | \(-0.228990\pi\) | |||||||
\(488\) | −7.34723e8 | + | 1.87858e9i | −0.286190 | + | 0.731747i | ||||
\(489\) | − | 4.63546e9i | − | 1.79272i | ||||||
\(490\) | −1.47549e9 | + | 6.22659e8i | −0.566567 | + | 0.239091i | ||||
\(491\) | −6.58146e8 | − | 6.58146e8i | −0.250921 | − | 0.250921i | 0.570427 | − | 0.821348i | \(-0.306778\pi\) |
−0.821348 | + | 0.570427i | \(0.806778\pi\) | |||||||
\(492\) | −8.88807e7 | − | 6.70437e9i | −0.0336457 | − | 2.53793i | ||||
\(493\) | −8.63613e7 | + | 8.63613e7i | −0.0324605 | + | 0.0324605i | ||||
\(494\) | −8.37352e8 | − | 3.40358e8i | −0.312510 | − | 0.127026i | ||||
\(495\) | 5.49089e8 | 0.203481 | ||||||||
\(496\) | 3.96683e6 | + | 1.49585e8i | 0.00145968 | + | 0.0550430i | ||||
\(497\) | −6.60115e9 | −2.41197 | ||||||||
\(498\) | −2.32339e8 | − | 9.44386e7i | −0.0842984 | − | 0.0342647i | ||||
\(499\) | −1.16527e9 | + | 1.16527e9i | −0.419830 | + | 0.419830i | −0.885145 | − | 0.465315i | \(-0.845941\pi\) |
0.465315 | + | 0.885145i | \(0.345941\pi\) | |||||||
\(500\) | −3.04258e9 | + | 4.03359e7i | −1.08855 | + | 0.0144310i | ||||
\(501\) | 5.85209e9 | + | 5.85209e9i | 2.07912 | + | 2.07912i | ||||
\(502\) | 5.15098e8 | − | 2.17372e8i | 0.181730 | − | 0.0766902i | ||||
\(503\) | 8.09330e8i | 0.283555i | 0.989899 | + | 0.141778i | \(0.0452818\pi\) | ||||
−0.989899 | + | 0.141778i | \(0.954718\pi\) | |||||||
\(504\) | −8.67855e9 | + | 3.79865e9i | −3.01953 | + | 1.32167i | ||||
\(505\) | − | 1.36853e9i | − | 0.472861i | ||||||
\(506\) | −6.56265e7 | − | 1.55513e8i | −0.0225192 | − | 0.0533629i | ||||
\(507\) | 3.26017e9 | + | 3.26017e9i | 1.11099 | + | 1.11099i | ||||
\(508\) | 1.96791e9 | + | 1.91641e9i | 0.666011 | + | 0.648583i | ||||
\(509\) | −3.64859e9 | + | 3.64859e9i | −1.22635 | + | 1.22635i | −0.261011 | + | 0.965336i | \(0.584056\pi\) |
−0.965336 | + | 0.261011i | \(0.915944\pi\) | |||||||
\(510\) | 1.78054e9 | − | 4.38050e9i | 0.594369 | − | 1.46227i | ||||
\(511\) | 5.09482e9 | 1.68910 | ||||||||
\(512\) | −9.92864e8 | + | 2.87012e9i | −0.326923 | + | 0.945051i | ||||
\(513\) | 7.19392e9 | 2.35264 | ||||||||
\(514\) | 1.28136e9 | − | 3.15243e9i | 0.416200 | − | 1.02394i | ||||
\(515\) | 2.21671e9 | − | 2.21671e9i | 0.715129 | − | 0.715129i | ||||
\(516\) | −9.04297e8 | − | 8.80634e8i | −0.289759 | − | 0.282177i | ||||
\(517\) | −3.90525e8 | − | 3.90525e8i | −0.124289 | − | 0.124289i | ||||
\(518\) | −7.82112e8 | − | 1.85334e9i | −0.247238 | − | 0.585871i | ||||
\(519\) | 4.68956e9i | 1.47247i | ||||||||
\(520\) | 9.52070e8 | − | 4.16727e8i | 0.296932 | − | 0.129969i | ||||
\(521\) | 5.31090e7i | 0.0164527i | 0.999966 | + | 0.00822633i | \(0.00261855\pi\) | ||||
−0.999966 | + | 0.00822633i | \(0.997381\pi\) | |||||||
\(522\) | 3.29157e8 | − | 1.38904e8i | 0.101288 | − | 0.0427434i | ||||
\(523\) | −1.99031e9 | − | 1.99031e9i | −0.608364 | − | 0.608364i | 0.334154 | − | 0.942518i | \(-0.391549\pi\) |
−0.942518 | + | 0.334154i | \(0.891549\pi\) | |||||||
\(524\) | 3.54590e8 | − | 4.70085e6i | 0.107663 | − | 0.00142730i | ||||
\(525\) | 1.96012e9 | − | 1.96012e9i | 0.591187 | − | 0.591187i | ||||
\(526\) | 3.94906e9 | + | 1.60517e9i | 1.18316 | + | 0.480918i | ||||
\(527\) | 1.92173e8 | 0.0571945 | ||||||||
\(528\) | 1.68330e7 | + | 6.34755e8i | 0.00497672 | + | 0.187667i | ||||
\(529\) | 2.27453e9 | 0.668032 | ||||||||
\(530\) | 9.26597e8 | + | 3.76633e8i | 0.270349 | + | 0.109889i | ||||
\(531\) | −6.18679e9 | + | 6.18679e9i | −1.79322 | + | 1.79322i | ||||
\(532\) | 5.16595e7 | + | 3.89673e9i | 0.0148751 | + | 1.12204i | ||||
\(533\) | −1.33825e9 | − | 1.33825e9i | −0.382816 | − | 0.382816i | ||||
\(534\) | −2.38895e8 | + | 1.00814e8i | −0.0678911 | + | 0.0286501i | ||||
\(535\) | − | 1.33097e9i | − | 0.375778i | ||||||
\(536\) | 1.67955e9 | − | 4.29438e9i | 0.471104 | − | 1.20455i | ||||
\(537\) | − | 3.00456e9i | − | 0.837281i | ||||||
\(538\) | −7.27298e8 | − | 1.72345e9i | −0.201361 | − | 0.477157i | ||||
\(539\) | −1.95296e8 | − | 1.95296e8i | −0.0537195 | − | 0.0537195i | ||||
\(540\) | −5.77081e9 | + | 5.92587e9i | −1.57710 | + | 1.61947i | ||||
\(541\) | 1.46358e9 | − | 1.46358e9i | 0.397398 | − | 0.397398i | −0.479916 | − | 0.877314i | \(-0.659333\pi\) |
0.877314 | + | 0.479916i | \(0.159333\pi\) | |||||||
\(542\) | 1.82359e9 | − | 4.48640e9i | 0.491959 | − | 1.21032i | ||||
\(543\) | −1.19277e10 | −3.19710 | ||||||||
\(544\) | 3.65086e9 | + | 1.37235e9i | 0.972298 | + | 0.365485i | ||||
\(545\) | 1.65327e9 | 0.437479 | ||||||||
\(546\) | −1.41168e9 | + | 3.47303e9i | −0.371161 | + | 0.913135i | ||||
\(547\) | −1.11429e9 | + | 1.11429e9i | −0.291101 | + | 0.291101i | −0.837515 | − | 0.546414i | \(-0.815993\pi\) |
0.546414 | + | 0.837515i | \(0.315993\pi\) | |||||||
\(548\) | −2.87064e8 | + | 2.94778e8i | −0.0745156 | + | 0.0765179i | ||||
\(549\) | −5.35835e9 | − | 5.35835e9i | −1.38206 | − | 1.38206i | ||||
\(550\) | −5.15256e7 | − | 1.22098e8i | −0.0132055 | − | 0.0312925i | ||||
\(551\) | − | 1.46967e8i | − | 0.0374274i | ||||||
\(552\) | 3.95994e9 | + | 1.54875e9i | 1.00208 | + | 0.391918i | ||||
\(553\) | 4.26366e9i | 1.07212i | ||||||||
\(554\) | 4.15207e9 | − | 1.75218e9i | 1.03748 | − | 0.437818i | ||||
\(555\) | −2.07685e9 | − | 2.07685e9i | −0.515678 | − | 0.515678i | ||||
\(556\) | 7.18195e7 | + | 5.41743e9i | 0.0177207 | + | 1.33669i | ||||
\(557\) | −4.33757e9 | + | 4.33757e9i | −1.06354 | + | 1.06354i | −0.0656996 | + | 0.997839i | \(0.520928\pi\) |
−0.997839 | + | 0.0656996i | \(0.979072\pi\) | |||||||
\(558\) | −5.20769e8 | − | 2.11677e8i | −0.126889 | − | 0.0515767i | ||||
\(559\) | −3.56286e8 | −0.0862696 | ||||||||
\(560\) | −3.25131e9 | − | 3.08332e9i | −0.782348 | − | 0.741926i | ||||
\(561\) | 8.15473e8 | 0.195002 | ||||||||
\(562\) | −1.62905e8 | − | 6.62158e7i | −0.0387130 | − | 0.0157356i | ||||
\(563\) | 1.49585e9 | − | 1.49585e9i | 0.353271 | − | 0.353271i | −0.508054 | − | 0.861325i | \(-0.669635\pi\) |
0.861325 | + | 0.508054i | \(0.169635\pi\) | |||||||
\(564\) | 1.39113e10 | − | 1.84424e8i | 3.26505 | − | 0.0432852i | ||||
\(565\) | 1.72401e9 | + | 1.72401e9i | 0.402134 | + | 0.402134i | ||||
\(566\) | 4.03703e9 | − | 1.70363e9i | 0.935846 | − | 0.394927i | ||||
\(567\) | − | 1.55310e10i | − | 3.57814i | ||||||
\(568\) | −3.18774e9 | − | 7.28282e9i | −0.729900 | − | 1.66756i | ||||
\(569\) | 5.13775e9i | 1.16918i | 0.811330 | + | 0.584588i | \(0.198744\pi\) | ||||
−0.811330 | + | 0.584588i | \(0.801256\pi\) | |||||||
\(570\) | 2.21227e9 | + | 5.24234e9i | 0.500353 | + | 1.18567i | ||||
\(571\) | −1.26567e9 | − | 1.26567e9i | −0.284508 | − | 0.284508i | 0.550396 | − | 0.834904i | \(-0.314477\pi\) |
−0.834904 | + | 0.550396i | \(0.814477\pi\) | |||||||
\(572\) | 1.28404e8 | + | 1.25044e8i | 0.0286876 | + | 0.0279369i | ||||
\(573\) | 5.52317e8 | − | 5.52317e8i | 0.122644 | − | 0.122644i | ||||
\(574\) | −3.07257e9 | + | 7.55918e9i | −0.678126 | + | 1.66833i | ||||
\(575\) | −8.87433e8 | −0.194670 | ||||||||
\(576\) | −8.38185e9 | − | 7.74034e9i | −1.82752 | − | 1.68765i | ||||
\(577\) | −5.72767e8 | −0.124126 | −0.0620630 | − | 0.998072i | \(-0.519768\pi\) | ||||
−0.0620630 | + | 0.998072i | \(0.519768\pi\) | |||||||
\(578\) | 1.38002e8 | − | 3.39514e8i | 0.0297261 | − | 0.0731325i | ||||
\(579\) | 8.61052e9 | − | 8.61052e9i | 1.84355 | − | 1.84355i | ||||
\(580\) | 1.21062e8 | + | 1.17894e8i | 0.0257637 | + | 0.0250896i | ||||
\(581\) | 2.15820e8 | + | 2.15820e8i | 0.0456537 | + | 0.0456537i | ||||
\(582\) | −5.89970e9 | − | 1.39803e10i | −1.24051 | − | 2.93959i | ||||
\(583\) | 1.72495e8i | 0.0360526i | ||||||||
\(584\) | 2.46032e9 | + | 5.62094e9i | 0.511148 | + | 1.16779i | ||||
\(585\) | 3.90426e9i | 0.806295i | ||||||||
\(586\) | −3.07326e9 | + | 1.29692e9i | −0.630895 | + | 0.266238i | ||||
\(587\) | 4.64216e9 | + | 4.64216e9i | 0.947298 | + | 0.947298i | 0.998679 | − | 0.0513812i | \(-0.0163624\pi\) |
−0.0513812 | + | 0.998679i | \(0.516362\pi\) | |||||||
\(588\) | 6.95682e9 | − | 9.22275e7i | 1.41121 | − | 0.0187085i | ||||
\(589\) | −1.63517e8 | + | 1.63517e8i | −0.0329730 | + | 0.0329730i | ||||
\(590\) | −3.83377e9 | − | 1.55831e9i | −0.768500 | − | 0.312372i | ||||
\(591\) | −1.30680e10 | −2.60408 | ||||||||
\(592\) | 1.66704e9 | − | 1.75787e9i | 0.330233 | − | 0.348225i | ||||
\(593\) | 6.95056e8 | 0.136876 | 0.0684382 | − | 0.997655i | \(-0.478198\pi\) | ||||
0.0684382 | + | 0.997655i | \(0.478198\pi\) | |||||||
\(594\) | −1.32149e9 | − | 5.37146e8i | −0.258709 | − | 0.105157i | ||||
\(595\) | −4.06906e9 | + | 4.06906e9i | −0.791927 | + | 0.791927i | ||||
\(596\) | −8.48190e7 | − | 6.39799e9i | −0.0164109 | − | 1.23789i | ||||
\(597\) | 6.77530e9 | + | 6.77530e9i | 1.30322 | + | 1.30322i | ||||
\(598\) | 1.10576e9 | − | 4.66633e8i | 0.211450 | − | 0.0892321i | ||||
\(599\) | 4.70981e9i | 0.895384i | 0.894188 | + | 0.447692i | \(0.147754\pi\) | ||||
−0.894188 | + | 0.447692i | \(0.852246\pi\) | |||||||
\(600\) | 3.10908e9 | + | 1.21598e9i | 0.587628 | + | 0.229824i | ||||
\(601\) | − | 7.02648e9i | − | 1.32031i | −0.751128 | − | 0.660157i | \(-0.770490\pi\) | ||
0.751128 | − | 0.660157i | \(-0.229510\pi\) | |||||||
\(602\) | 5.97243e8 | + | 1.41527e9i | 0.111574 | + | 0.264393i | ||||
\(603\) | 1.22490e10 | + | 1.22490e10i | 2.27505 | + | 2.27505i | ||||
\(604\) | −9.87443e8 | + | 1.01398e9i | −0.182340 | + | 0.187240i | ||||
\(605\) | 3.10234e9 | − | 3.10234e9i | 0.569568 | − | 0.569568i | ||||
\(606\) | −2.23873e9 | + | 5.50774e9i | −0.408645 | + | 1.00535i | ||||
\(607\) | 8.10093e8 | 0.147019 | 0.0735096 | − | 0.997295i | \(-0.476580\pi\) | ||||
0.0735096 | + | 0.997295i | \(0.476580\pi\) | |||||||
\(608\) | −4.27418e9 | + | 1.93875e9i | −0.771242 | + | 0.349832i | ||||
\(609\) | −6.09567e8 | −0.109361 | ||||||||
\(610\) | 1.34964e9 | − | 3.32041e9i | 0.240749 | − | 0.592293i | ||||
\(611\) | 2.77680e9 | − | 2.77680e9i | 0.492494 | − | 0.492494i | ||||
\(612\) | −1.02224e10 | + | 1.04971e10i | −1.80270 | + | 1.85114i | ||||
\(613\) | −7.64430e9 | − | 7.64430e9i | −1.34037 | − | 1.34037i | −0.895685 | − | 0.444689i | \(-0.853314\pi\) |
−0.444689 | − | 0.895685i | \(-0.646686\pi\) | |||||||
\(614\) | 3.84474e9 | + | 9.11075e9i | 0.670313 | + | 1.58842i | ||||
\(615\) | 1.19139e10i | 2.06533i | ||||||||
\(616\) | 2.81466e8 | − | 7.19669e8i | 0.0485170 | − | 0.124051i | ||||
\(617\) | 1.76031e9i | 0.301710i | 0.988556 | + | 0.150855i | \(0.0482027\pi\) | ||||
−0.988556 | + | 0.150855i | \(0.951797\pi\) | |||||||
\(618\) | −1.25476e10 | + | 5.29509e9i | −2.13846 | + | 0.902430i | ||||
\(619\) | 5.28896e8 | + | 5.28896e8i | 0.0896299 | + | 0.0896299i | 0.750500 | − | 0.660870i | \(-0.229813\pi\) |
−0.660870 | + | 0.750500i | \(0.729813\pi\) | |||||||
\(620\) | −3.52459e6 | − | 2.65864e8i | −0.000593934 | − | 0.0448011i | ||||
\(621\) | −6.75445e9 | + | 6.75445e9i | −1.13180 | + | 1.13180i | ||||
\(622\) | 5.67887e8 | + | 2.30829e8i | 0.0946228 | + | 0.0384613i | ||||
\(623\) | 3.15557e8 | 0.0522840 | ||||||||
\(624\) | −4.51339e9 | + | 1.19690e8i | −0.743629 | + | 0.0197202i | ||||
\(625\) | 3.34457e9 | 0.547974 | ||||||||
\(626\) | 9.59973e9 | + | 3.90200e9i | 1.56404 | + | 0.635736i | ||||
\(627\) | −6.93874e8 | + | 6.93874e8i | −0.112420 | + | 0.112420i | ||||
\(628\) | 4.34414e9 | − | 5.75909e7i | 0.699915 | − | 0.00927887i | ||||
\(629\) | −2.20000e9 | − | 2.20000e9i | −0.352489 | − | 0.352489i | ||||
\(630\) | 1.55088e10 | − | 6.54472e9i | 2.47108 | − | 1.04280i | ||||
\(631\) | − | 9.08344e9i | − | 1.43929i | −0.694344 | − | 0.719644i | \(-0.744305\pi\) | ||
0.694344 | − | 0.719644i | \(-0.255695\pi\) | |||||||
\(632\) | −4.70395e9 | + | 2.05895e9i | −0.741230 | + | 0.324441i | ||||
\(633\) | − | 1.85794e10i | − | 2.91151i | ||||||
\(634\) | −2.38847e9 | − | 5.65988e9i | −0.372227 | − | 0.882054i | ||||
\(635\) | −3.45128e9 | − | 3.45128e9i | −0.534899 | − | 0.534899i | ||||
\(636\) | −3.11304e9 | − | 3.03158e9i | −0.479827 | − | 0.467271i | ||||
\(637\) | 1.38864e9 | − | 1.38864e9i | 0.212863 | − | 0.212863i | ||||
\(638\) | −1.09735e7 | + | 2.69972e7i | −0.00167292 | + | 0.00411572i | ||||
\(639\) | 2.98655e10 | 4.52811 | ||||||||
\(640\) | 1.83164e9 | − | 5.07601e9i | 0.276192 | − | 0.765407i | ||||
\(641\) | 9.60692e9 | 1.44073 | 0.720363 | − | 0.693598i | \(-0.243975\pi\) | ||||
0.720363 | + | 0.693598i | \(0.243975\pi\) | |||||||
\(642\) | −2.17729e9 | + | 5.35660e9i | −0.324746 | + | 0.798945i | ||||
\(643\) | −9.22467e9 | + | 9.22467e9i | −1.36840 | + | 1.36840i | −0.505672 | + | 0.862726i | \(0.668755\pi\) |
−0.862726 | + | 0.505672i | \(0.831245\pi\) | |||||||
\(644\) | −3.70719e9 | − | 3.61018e9i | −0.546945 | − | 0.532633i | ||||
\(645\) | 1.58594e9 | + | 1.58594e9i | 0.232717 | + | 0.232717i | ||||
\(646\) | 2.34346e9 | + | 5.55321e9i | 0.342013 | + | 0.810457i | ||||
\(647\) | − | 7.64371e9i | − | 1.10953i | −0.832007 | − | 0.554765i | \(-0.812808\pi\) | ||
0.832007 | − | 0.554765i | \(-0.187192\pi\) | |||||||
\(648\) | 1.71348e10 | − | 7.49999e9i | 2.47380 | − | 1.08280i | ||||
\(649\) | − | 7.13693e8i | − | 0.102484i | ||||||
\(650\) | 8.68173e8 | − | 3.66369e8i | 0.123997 | − | 0.0523266i | ||||
\(651\) | 6.78209e8 | + | 6.78209e8i | 0.0963452 | + | 0.0963452i | ||||
\(652\) | −6.79328e9 | + | 9.00594e7i | −0.959871 | + | 0.0127251i | ||||
\(653\) | −9.00786e9 | + | 9.00786e9i | −1.26598 | + | 1.26598i | −0.317828 | + | 0.948148i | \(0.602954\pi\) |
−0.948148 | + | 0.317828i | \(0.897046\pi\) | |||||||
\(654\) | −6.65372e9 | − | 2.70453e9i | −0.930128 | − | 0.378068i | ||||
\(655\) | −6.30118e8 | −0.0876147 | ||||||||
\(656\) | −9.82354e9 | + | 2.60510e8i | −1.35864 | + | 0.0360297i | ||||
\(657\) | −2.30505e10 | −3.17103 | ||||||||
\(658\) | −1.56850e10 | − | 6.37546e9i | −2.14631 | − | 0.872410i | ||||
\(659\) | 8.58058e9 | − | 8.58058e9i | 1.16793 | − | 1.16793i | 0.185239 | − | 0.982693i | \(-0.440694\pi\) |
0.982693 | − | 0.185239i | \(-0.0593060\pi\) | |||||||
\(660\) | −1.49564e7 | − | 1.12818e9i | −0.00202499 | − | 0.152747i | ||||
\(661\) | −3.98292e9 | − | 3.98292e9i | −0.536410 | − | 0.536410i | 0.386063 | − | 0.922472i | \(-0.373835\pi\) |
−0.922472 | + | 0.386063i | \(0.873835\pi\) | |||||||
\(662\) | −2.68686e9 | + | 1.13386e9i | −0.359950 | + | 0.151899i | ||||
\(663\) | 5.79837e9i | 0.772696i | ||||||||
\(664\) | −1.33886e8 | + | 3.42328e8i | −0.0177479 | + | 0.0453789i | ||||
\(665\) | − | 6.92461e9i | − | 0.913103i | ||||||
\(666\) | 3.53850e9 | + | 8.38507e9i | 0.464152 | + | 1.09988i | ||||
\(667\) | 1.37989e8 | + | 1.37989e8i | 0.0180055 | + | 0.0180055i | ||||
\(668\) | 8.46256e9 | − | 8.68995e9i | 1.09846 | − | 1.12798i | ||||
\(669\) | 1.61346e9 | − | 1.61346e9i | 0.208337 | − | 0.208337i | ||||
\(670\) | −3.08524e9 | + | 7.59035e9i | −0.396303 | + | 0.974990i | ||||
\(671\) | 6.18126e8 | 0.0789856 | ||||||||
\(672\) | 8.04124e9 | + | 1.77278e10i | 1.02219 | + | 2.25352i | ||||
\(673\) | 1.05739e10 | 1.33716 | 0.668580 | − | 0.743640i | \(-0.266902\pi\) | ||||
0.668580 | + | 0.743640i | \(0.266902\pi\) | |||||||
\(674\) | 1.77150e9 | − | 4.35826e9i | 0.222859 | − | 0.548281i | ||||
\(675\) | −5.30315e9 | + | 5.30315e9i | −0.663698 | + | 0.663698i | ||||
\(676\) | 4.71444e9 | − | 4.84112e9i | 0.586971 | − | 0.602744i | ||||
\(677\) | 1.00400e10 | + | 1.00400e10i | 1.24358 | + | 1.24358i | 0.958504 | + | 0.285078i | \(0.0920195\pi\) |
0.285078 | + | 0.958504i | \(0.407981\pi\) | |||||||
\(678\) | −4.11817e9 | − | 9.75868e9i | −0.507458 | − | 1.20251i | ||||
\(679\) | 1.84666e10i | 2.26382i | ||||||||
\(680\) | −6.45423e9 | − | 2.52428e9i | −0.787160 | − | 0.307862i | ||||
\(681\) | 1.01998e10i | 1.23759i | ||||||||
\(682\) | 4.22466e7 | − | 1.78281e7i | 0.00509972 | − | 0.00215208i | ||||
\(683\) | −1.01009e10 | − | 1.01009e10i | −1.21307 | − | 1.21307i | −0.970012 | − | 0.243059i | \(-0.921849\pi\) |
−0.243059 | − | 0.970012i | \(-0.578151\pi\) | |||||||
\(684\) | −2.33722e8 | − | 1.76299e10i | −0.0279257 | − | 2.10647i | ||||
\(685\) | 5.16976e8 | − | 5.16976e8i | 0.0614544 | − | 0.0614544i | ||||
\(686\) | 2.53529e9 | + | 1.03052e9i | 0.299842 | + | 0.121877i | ||||
\(687\) | −7.98362e9 | −0.939401 | ||||||||
\(688\) | −1.27300e9 | + | 1.34236e9i | −0.149029 | + | 0.157148i | ||||
\(689\) | −1.22651e9 | −0.142858 | ||||||||
\(690\) | −6.99922e9 | − | 2.84497e9i | −0.811106 | − | 0.329690i | ||||
\(691\) | 8.49939e8 | − | 8.49939e8i | 0.0979974 | − | 0.0979974i | −0.656408 | − | 0.754406i | \(-0.727925\pi\) |
0.754406 | + | 0.656408i | \(0.227925\pi\) | |||||||
\(692\) | 6.87256e9 | − | 9.11103e7i | 0.788401 | − | 0.0104519i | ||||
\(693\) | 2.05274e9 | + | 2.05274e9i | 0.234297 | + | 0.234297i | ||||
\(694\) | −1.72461e9 | + | 7.27786e8i | −0.195854 | + | 0.0826505i | ||||
\(695\) | − | 9.62694e9i | − | 1.08778i | ||||||
\(696\) | −2.94363e8 | − | 6.72514e8i | −0.0330942 | − | 0.0756082i | ||||
\(697\) | 1.26203e10i | 1.41175i | ||||||||
\(698\) | 5.86695e9 | + | 1.39027e10i | 0.653008 | + | 1.54741i | ||||
\(699\) | −8.14528e9 | − | 8.14528e9i | −0.902061 | − | 0.902061i | ||||
\(700\) | −2.91064e9 | − | 2.83447e9i | −0.320734 | − | 0.312341i | ||||
\(701\) | 8.49362e9 | − | 8.49362e9i | 0.931278 | − | 0.931278i | −0.0665075 | − | 0.997786i | \(-0.521186\pi\) |
0.997786 | + | 0.0665075i | \(0.0211856\pi\) | |||||||
\(702\) | 3.81934e9 | − | 9.39638e9i | 0.416686 | − | 1.02513i | ||||
\(703\) | 3.74390e9 | 0.406425 | ||||||||
\(704\) | 9.29908e8 | − | 3.70011e7i | 0.100447 | − | 0.00399678i | ||||
\(705\) | −2.47208e10 | −2.65705 | ||||||||
\(706\) | −1.13417e9 | + | 2.79031e9i | −0.121301 | + | 0.298425i | ||||
\(707\) | 5.11615e9 | − | 5.11615e9i | 0.544472 | − | 0.544472i | ||||
\(708\) | 1.28801e10 | + | 1.25431e10i | 1.36396 | + | 1.32827i | ||||
\(709\) | −4.58762e9 | − | 4.58762e9i | −0.483421 | − | 0.483421i | 0.422801 | − | 0.906222i | \(-0.361047\pi\) |
−0.906222 | + | 0.422801i | \(0.861047\pi\) | |||||||
\(710\) | 5.49217e9 | + | 1.30146e10i | 0.575890 | + | 1.36467i | ||||
\(711\) | − | 1.92900e10i | − | 2.01275i | ||||||
\(712\) | 1.52384e8 | + | 3.48143e8i | 0.0158219 | + | 0.0361474i | ||||
\(713\) | − | 3.07056e8i | − | 0.0317251i | ||||||
\(714\) | 2.30327e10 | − | 9.71981e9i | 2.36811 | − | 0.999342i | ||||
\(715\) | −2.25193e8 | − | 2.25193e8i | −0.0230401 | − | 0.0230401i | ||||
\(716\) | −4.40319e9 | + | 5.83737e7i | −0.448303 | + | 0.00594322i | ||||
\(717\) | 8.02186e9 | − | 8.02186e9i | 0.812752 | − | 0.812752i | ||||
\(718\) | 7.15751e9 | + | 2.90931e9i | 0.721650 | + | 0.293329i | ||||
\(719\) | −9.61133e9 | −0.964345 | −0.482172 | − | 0.876076i | \(-0.660152\pi\) | ||||
−0.482172 | + | 0.876076i | \(0.660152\pi\) | |||||||
\(720\) | 1.47099e10 | + | 1.39498e10i | 1.46874 | + | 1.39285i | ||||
\(721\) | 1.65741e10 | 1.64686 | ||||||||
\(722\) | 2.64949e9 | + | 1.07694e9i | 0.261989 | + | 0.106490i | ||||
\(723\) | −8.90012e9 | + | 8.90012e9i | −0.875814 | + | 0.875814i | ||||
\(724\) | 2.31735e8 | + | 1.74800e10i | 0.0226937 | + | 1.71181i | ||||
\(725\) | 1.08340e8 | + | 1.08340e8i | 0.0105586 | + | 0.0105586i | ||||
\(726\) | −1.75606e10 | + | 7.41059e9i | −1.70318 | + | 0.718745i | ||||
\(727\) | 1.34243e10i | 1.29575i | 0.761745 | + | 0.647877i | \(0.224343\pi\) | ||||
−0.761745 | + | 0.647877i | \(0.775657\pi\) | |||||||
\(728\) | 5.11717e9 | + | 2.00135e9i | 0.491552 | + | 0.192248i | ||||
\(729\) | 1.59986e10i | 1.52945i | ||||||||
\(730\) | −4.23890e9 | − | 1.00448e10i | −0.403295 | − | 0.955675i | ||||
\(731\) | 1.67998e9 | + | 1.67998e9i | 0.159072 | + | 0.159072i | ||||
\(732\) | −1.08635e10 | + | 1.11554e10i | −1.02372 | + | 1.05123i | ||||
\(733\) | −9.32912e8 | + | 9.32912e8i | −0.0874937 | + | 0.0874937i | −0.749499 | − | 0.662005i | \(-0.769706\pi\) |
0.662005 | + | 0.749499i | \(0.269706\pi\) | |||||||
\(734\) | −8.76704e8 | + | 2.15688e9i | −0.0818308 | + | 0.201321i | ||||
\(735\) | −1.23625e10 | −1.14842 | ||||||||
\(736\) | 2.19276e9 | − | 5.83339e9i | 0.202731 | − | 0.539322i | ||||
\(737\) | −1.41302e9 | −0.130020 | ||||||||
\(738\) | 1.39012e10 | − | 3.41999e10i | 1.27308 | − | 3.13204i | ||||
\(739\) | −1.69251e9 | + | 1.69251e9i | −0.154268 | + | 0.154268i | −0.780021 | − | 0.625753i | \(-0.784792\pi\) |
0.625753 | + | 0.780021i | \(0.284792\pi\) | |||||||
\(740\) | −3.00327e9 | + | 3.08397e9i | −0.272448 | + | 0.279769i | ||||
\(741\) | −4.93375e9 | − | 4.93375e9i | −0.445464 | − | 0.445464i | ||||
\(742\) | 2.05601e9 | + | 4.87205e9i | 0.184761 | + | 0.437822i | ||||
\(743\) | 1.77397e10i | 1.58666i | 0.608791 | + | 0.793331i | \(0.291655\pi\) | ||||
−0.608791 | + | 0.793331i | \(0.708345\pi\) | |||||||
\(744\) | −4.20733e8 | + | 1.07576e9i | −0.0374543 | + | 0.0957654i | ||||
\(745\) | 1.13694e10i | 1.00738i | ||||||||
\(746\) | 2.06234e9 | − | 8.70308e8i | 0.181875 | − | 0.0767515i | ||||
\(747\) | −9.76433e8 | − | 9.76433e8i | −0.0857078 | − | 0.0857078i | ||||
\(748\) | −1.58433e7 | − | 1.19508e9i | −0.00138417 | − | 0.104410i | ||||
\(749\) | 4.97576e9 | − | 4.97576e9i | 0.432686 | − | 0.432686i | ||||
\(750\) | −2.17599e10 | − | 8.84474e9i | −1.88340 | − | 0.765545i | ||||
\(751\) | 1.09851e10 | 0.946375 | 0.473188 | − | 0.880962i | \(-0.343103\pi\) | ||||
0.473188 | + | 0.880962i | \(0.343103\pi\) | |||||||
\(752\) | −5.40546e8 | − | 2.03834e10i | −0.0463522 | − | 1.74789i | ||||
\(753\) | 4.31577e9 | 0.368363 | ||||||||
\(754\) | −1.91962e8 | − | 7.80266e7i | −0.0163086 | − | 0.00662893i | ||||
\(755\) | 1.77829e9 | − | 1.77829e9i | 0.150379 | − | 0.150379i | ||||
\(756\) | −4.37273e10 | + | 5.79699e8i | −3.68067 | + | 0.0487951i | ||||
\(757\) | −9.18198e9 | − | 9.18198e9i | −0.769309 | − | 0.769309i | 0.208676 | − | 0.977985i | \(-0.433085\pi\) |
−0.977985 | + | 0.208676i | \(0.933085\pi\) | |||||||
\(758\) | 4.44949e8 | − | 1.87769e8i | 0.0371081 | − | 0.0156596i | ||||
\(759\) | − | 1.30297e9i | − | 0.108165i | ||||||
\(760\) | 7.63968e9 | − | 3.34394e9i | 0.631288 | − | 0.276319i | ||||
\(761\) | − | 1.19466e9i | − | 0.0982647i | −0.998792 | − | 0.0491324i | \(-0.984354\pi\) | ||
0.998792 | − | 0.0491324i | \(-0.0156456\pi\) | |||||||
\(762\) | 8.24410e9 | + | 1.95358e10i | 0.674995 | + | 1.59951i | ||||
\(763\) | 6.18066e9 | + | 6.18066e9i | 0.503732 | + | 0.503732i | ||||
\(764\) | −8.20153e8 | − | 7.98692e8i | −0.0665378 | − | 0.0647966i | ||||
\(765\) | 1.84096e10 | − | 1.84096e10i | 1.48672 | − | 1.48672i | ||||
\(766\) | 6.06793e9 | − | 1.49284e10i | 0.487798 | − | 1.20009i | ||||
\(767\) | 5.07467e9 | 0.406091 | ||||||||
\(768\) | −1.56753e10 | + | 1.74325e10i | −1.24868 | + | 1.38866i | ||||
\(769\) | 8.71208e9 | 0.690844 | 0.345422 | − | 0.938448i | \(-0.387736\pi\) | ||||
0.345422 | + | 0.938448i | \(0.387736\pi\) | |||||||
\(770\) | −5.17037e8 | + | 1.27202e9i | −0.0408135 | + | 0.100410i | ||||
\(771\) | 1.85744e10 | − | 1.85744e10i | 1.45957 | − | 1.45957i | ||||
\(772\) | −1.27860e10 | − | 1.24514e10i | −1.00017 | − | 0.974001i | ||||
\(773\) | 3.31528e9 | + | 3.31528e9i | 0.258162 | + | 0.258162i | 0.824306 | − | 0.566144i | \(-0.191566\pi\) |
−0.566144 | + | 0.824306i | \(0.691566\pi\) | |||||||
\(774\) | −2.70210e9 | − | 6.40308e9i | −0.209463 | − | 0.496358i | ||||
\(775\) | − | 2.41080e8i | − | 0.0186039i | ||||||
\(776\) | −2.03736e10 | + | 8.91764e9i | −1.56513 | + | 0.685068i | ||||
\(777\) | − | 1.55283e10i | − | 1.18755i | ||||||
\(778\) | 1.81518e10 | − | 7.66006e9i | 1.38195 | − | 0.583182i | ||||
\(779\) | −1.07385e10 | − | 1.07385e10i | −0.813882 | − | 0.813882i | ||||
\(780\) | 8.02184e9 | − | 1.06347e8i | 0.605261 | − | 0.00802402i | ||||
\(781\) | −1.72261e9 | + | 1.72261e9i | −0.129392 | + | 0.129392i | ||||
\(782\) | −7.41426e9 | − | 3.01367e9i | −0.554427 | − | 0.225357i | ||||
\(783\) | 1.64920e9 | 0.122774 | ||||||||
\(784\) | −2.70319e8 | − | 1.01934e10i | −0.0200341 | − | 0.755466i | ||||
\(785\) | −7.71968e9 | −0.569581 | ||||||||
\(786\) | 2.53596e9 | + | 1.03079e9i | 0.186279 | + | 0.0757165i | ||||
\(787\) | 2.66527e8 | − | 2.66527e8i | 0.0194908 | − | 0.0194908i | −0.697294 | − | 0.716785i | \(-0.745613\pi\) |
0.716785 | + | 0.697294i | \(0.245613\pi\) | |||||||
\(788\) | 2.53891e8 | + | 1.91513e10i | 0.0184844 | + | 1.39430i | ||||
\(789\) | 2.32682e10 | + | 2.32682e10i | 1.68653 | + | 1.68653i | ||||
\(790\) | 8.40609e9 | − | 3.54737e9i | 0.606596 | − | 0.255984i | ||||
\(791\) | 1.28902e10i | 0.926069i | ||||||||
\(792\) | −1.27343e9 | + | 3.25599e9i | −0.0910832 | + | 0.232887i | ||||
\(793\) | 4.39514e9i | 0.312980i | ||||||||
\(794\) | −9.24634e9 | − | 2.19107e10i | −0.655538 | − | 1.55341i | ||||
\(795\) | 5.45958e9 | + | 5.45958e9i | 0.385367 | + | 0.385367i | ||||
\(796\) | 9.79759e9 | − | 1.00609e10i | 0.688531 | − | 0.707032i | ||||
\(797\) | −1.91922e10 | + | 1.91922e10i | −1.34283 | + | 1.34283i | −0.449593 | + | 0.893233i | \(0.648431\pi\) |
−0.893233 | + | 0.449593i | \(0.851569\pi\) | |||||||
\(798\) | −1.13277e10 | + | 2.78686e10i | −0.789102 | + | 1.94136i | ||||
\(799\) | −2.61867e10 | −1.81621 | ||||||||
\(800\) | 1.72161e9 | − | 4.57999e9i | 0.118883 | − | 0.316264i | ||||
\(801\) | −1.42767e9 | −0.0981553 | ||||||||
\(802\) | −4.33221e9 | + | 1.06581e10i | −0.296551 | + | 0.729577i | ||||
\(803\) | 1.32952e9 | − | 1.32952e9i | 0.0906131 | − | 0.0906131i | ||||
\(804\) | 2.48336e10 | − | 2.55009e10i | 1.68517 | − | 1.73045i | ||||
\(805\) | 6.50159e9 | + | 6.50159e9i | 0.439273 | + | 0.439273i | ||||
\(806\) | 1.26765e8 | + | 3.00392e8i | 0.00852763 | + | 0.0202076i | ||||
\(807\) | − | 1.44400e10i | − | 0.967187i | ||||||
\(808\) | 8.11509e9 | + | 3.17385e9i | 0.541195 | + | 0.211664i | ||||
\(809\) | − | 1.86279e9i | − | 0.123692i | −0.998086 | − | 0.0618462i | \(-0.980301\pi\) | ||
0.998086 | − | 0.0618462i | \(-0.0196988\pi\) | |||||||
\(810\) | −3.06203e10 | + | 1.29218e10i | −2.02447 | + | 0.854328i | ||||
\(811\) | −1.60625e10 | − | 1.60625e10i | −1.05740 | − | 1.05740i | −0.998249 | − | 0.0591547i | \(-0.981159\pi\) |
−0.0591547 | − | 0.998249i | \(-0.518841\pi\) | |||||||
\(812\) | 1.18429e7 | + | 8.93321e8i | 0.000776267 | + | 0.0585547i | ||||
\(813\) | 2.64343e10 | − | 2.64343e10i | 1.72524 | − | 1.72524i | ||||
\(814\) | −6.87737e8 | − | 2.79544e8i | −0.0446927 | − | 0.0181662i | ||||
\(815\) | 1.20719e10 | 0.781129 | ||||||||
\(816\) | 2.18462e10 | + | 2.07174e10i | 1.40754 | + | 1.33481i | ||||
\(817\) | −2.85894e9 | −0.183412 | ||||||||
\(818\) | 5.94723e9 | + | 2.41737e9i | 0.379908 | + | 0.154421i | ||||
\(819\) | −1.45959e10 | + | 1.45959e10i | −0.928402 | + | 0.928402i | ||||
\(820\) | 1.74598e10 | − | 2.31467e8i | 1.10584 | − | 0.0146602i | ||||
\(821\) | −1.04505e10 | − | 1.04505e10i | −0.659074 | − | 0.659074i | 0.296087 | − | 0.955161i | \(-0.404318\pi\) |
−0.955161 | + | 0.296087i | \(0.904318\pi\) | |||||||
\(822\) | −2.92631e9 | + | 1.23490e9i | −0.183768 | + | 0.0775500i | ||||
\(823\) | − | 2.02179e10i | − | 1.26426i | −0.774863 | − | 0.632129i | \(-0.782181\pi\) | ||
0.774863 | − | 0.632129i | \(-0.217819\pi\) | |||||||
\(824\) | 8.00374e9 | + | 1.82856e10i | 0.498365 | + | 1.13858i | ||||
\(825\) | − | 1.02301e9i | − | 0.0634293i | ||||||
\(826\) | −8.50667e9 | − | 2.01580e10i | −0.525206 | − | 1.24456i | ||||
\(827\) | 3.41907e9 | + | 3.41907e9i | 0.210203 | + | 0.210203i | 0.804354 | − | 0.594151i | \(-0.202512\pi\) |
−0.594151 | + | 0.804354i | \(0.702512\pi\) | |||||||
\(828\) | 1.67724e10 | + | 1.63335e10i | 1.02681 | + | 0.999938i | ||||
\(829\) | −1.87636e10 | + | 1.87636e10i | −1.14387 | + | 1.14387i | −0.156130 | + | 0.987737i | \(0.549902\pi\) |
−0.987737 | + | 0.156130i | \(0.950098\pi\) | |||||||
\(830\) | 2.45941e8 | − | 6.05067e8i | 0.0149299 | − | 0.0367308i | ||||
\(831\) | 3.47883e10 | 2.10296 | ||||||||
\(832\) | 2.63094e8 | + | 6.61205e9i | 0.0158372 | + | 0.398020i | ||||
\(833\) | −1.30956e10 | −0.784995 | ||||||||
\(834\) | −1.57484e10 | + | 3.87443e10i | −0.940058 | + | 2.31274i | ||||
\(835\) | −1.52403e10 | + | 1.52403e10i | −0.905920 | + | 0.905920i | ||||
\(836\) | 1.03035e9 | + | 1.00339e9i | 0.0609908 | + | 0.0593949i | ||||
\(837\) | −1.83491e9 | − | 1.83491e9i | −0.108162 | − | 0.108162i | ||||
\(838\) | −7.26280e9 | − | 1.72104e10i | −0.426334 | − | 1.01027i | ||||
\(839\) | − | 1.12631e10i | − | 0.658401i | −0.944260 | − | 0.329201i | \(-0.893221\pi\) | ||
0.944260 | − | 0.329201i | \(-0.106779\pi\) | |||||||
\(840\) | −1.38694e10 | − | 3.16866e10i | −0.807387 | − | 1.84459i | ||||
\(841\) | 1.72162e10i | 0.998047i | ||||||||
\(842\) | −2.07885e10 | + | 8.77277e9i | −1.20014 | + | 0.506459i | ||||
\(843\) | −9.59848e8 | − | 9.59848e8i | −0.0551831 | − | 0.0551831i | ||||
\(844\) | −2.72281e10 | + | 3.60967e8i | −1.55890 | + | 0.0206666i | ||||
\(845\) | −8.49026e9 | + | 8.49026e9i | −0.484086 | + | 0.484086i | ||||
\(846\) | 7.09634e10 | + | 2.88444e10i | 4.02938 | + | 1.63782i | ||||
\(847\) | 2.31958e10 | 1.31165 | ||||||||
\(848\) | −4.38230e9 | + | 4.62106e9i | −0.246784 | + | 0.260229i | ||||
\(849\) | 3.38244e10 | 1.89694 | ||||||||
\(850\) | −5.82119e9 | − | 2.36613e9i | −0.325121 | − | 0.132152i | ||||
\(851\) | −3.51518e9 | + | 3.51518e9i | −0.195522 | + | 0.195522i | ||||
\(852\) | −8.13493e8 | − | 6.13627e10i | −0.0450625 | − | 3.39912i | ||||
\(853\) | −8.00308e9 | − | 8.00308e9i | −0.441505 | − | 0.441505i | 0.451012 | − | 0.892518i | \(-0.351063\pi\) |
−0.892518 | + | 0.451012i | \(0.851063\pi\) | |||||||
\(854\) | 1.74587e10 | − | 7.36758e9i | 0.959201 | − | 0.404783i | ||||
\(855\) | 3.13289e10i | 1.71421i | ||||||||
\(856\) | 7.89241e9 | + | 3.08676e9i | 0.430082 | + | 0.168207i | ||||
\(857\) | 8.36787e9i | 0.454132i | 0.973879 | + | 0.227066i | \(0.0729133\pi\) | ||||
−0.973879 | + | 0.227066i | \(0.927087\pi\) | |||||||
\(858\) | 5.37921e8 | + | 1.27469e9i | 0.0290746 | + | 0.0688970i | ||||
\(859\) | 1.16635e10 | + | 1.16635e10i | 0.627847 | + | 0.627847i | 0.947526 | − | 0.319679i | \(-0.103575\pi\) |
−0.319679 | + | 0.947526i | \(0.603575\pi\) | |||||||
\(860\) | 2.29338e9 | − | 2.35501e9i | 0.122951 | − | 0.126255i | ||||
\(861\) | −4.45393e10 | + | 4.45393e10i | −2.37811 | + | 2.37811i | ||||
\(862\) | −4.77622e9 | + | 1.17505e10i | −0.253985 | + | 0.624857i | ||||
\(863\) | −8.94130e9 | −0.473547 | −0.236774 | − | 0.971565i | \(-0.576090\pi\) | ||||
−0.236774 | + | 0.971565i | \(0.576090\pi\) | |||||||
\(864\) | −2.17558e10 | − | 4.79629e10i | −1.14756 | − | 2.52992i | ||||
\(865\) | −1.22127e10 | −0.641589 | ||||||||
\(866\) | 1.22455e9 | − | 3.01264e9i | 0.0640712 | − | 0.157629i | ||||
\(867\) | 2.00045e9 | − | 2.00045e9i | 0.104246 | − | 0.104246i | ||||
\(868\) | 9.80740e8 | − | 1.00709e9i | 0.0509020 | − | 0.0522698i | ||||
\(869\) | 1.11263e9 | + | 1.11263e9i | 0.0575149 | + | 0.0575149i | ||||
\(870\) | 5.07160e8 | + | 1.20180e9i | 0.0261113 | + | 0.0618750i | ||||
\(871\) | − | 1.00472e10i | − | 0.515205i | ||||||
\(872\) | −3.83423e9 | + | 9.80359e9i | −0.195826 | + | 0.500700i | ||||
\(873\) | − | 8.35483e10i | − | 4.24999i | ||||||
\(874\) | 8.87297e9 | − | 3.74440e9i | 0.449551 | − | 0.189711i | ||||
\(875\) | 2.02129e10 | + | 2.02129e10i | 1.02000 | + | 1.02000i | ||||
\(876\) | 6.27861e8 | + | 4.73603e10i | 0.0315572 | + | 2.38040i | ||||
\(877\) | 7.31289e9 | − | 7.31289e9i | 0.366092 | − | 0.366092i | −0.499958 | − | 0.866050i | \(-0.666651\pi\) |
0.866050 | + | 0.499958i | \(0.166651\pi\) | |||||||
\(878\) | −2.98831e10 | − | 1.21466e10i | −1.49003 | − | 0.605651i | ||||
\(879\) | −2.57494e10 | −1.27881 | ||||||||
\(880\) | −1.65306e9 | + | 4.38373e7i | −0.0817708 | + | 0.00216847i | ||||
\(881\) | −3.54118e10 | −1.74474 | −0.872372 | − | 0.488842i | \(-0.837419\pi\) | ||||
−0.872372 | + | 0.488842i | \(0.837419\pi\) | |||||||
\(882\) | 3.54877e10 | + | 1.44247e10i | 1.74156 | + | 0.707890i | ||||
\(883\) | 9.77015e9 | − | 9.77015e9i | 0.477572 | − | 0.477572i | −0.426782 | − | 0.904354i | \(-0.640353\pi\) |
0.904354 | + | 0.426782i | \(0.140353\pi\) | |||||||
\(884\) | 8.49752e9 | − | 1.12653e8i | 0.413723 | − | 0.00548477i | ||||
\(885\) | −2.25889e10 | − | 2.25889e10i | −1.09545 | − | 1.09545i | ||||
\(886\) | 5.95936e9 | − | 2.51485e9i | 0.287860 | − | 0.121477i | ||||
\(887\) | 5.27697e9i | 0.253894i | 0.991910 | + | 0.126947i | \(0.0405178\pi\) | ||||
−0.991910 | + | 0.126947i | \(0.959482\pi\) | |||||||
\(888\) | 1.71319e10 | − | 7.49873e9i | 0.821031 | − | 0.359370i | ||||
\(889\) | − | 2.58048e10i | − | 1.23181i | ||||||
\(890\) | −2.62544e8 | − | 6.22140e8i | −0.0124835 | − | 0.0295817i | ||||
\(891\) | −4.05289e9 | − | 4.05289e9i | −0.191952 | − | 0.191952i | ||||
\(892\) | −2.39587e9 | − | 2.33318e9i | −0.113028 | − | 0.110070i | ||||
\(893\) | 2.22819e10 | − | 2.22819e10i | 1.04706 | − | 1.04706i | ||||
\(894\) | 1.85989e10 | − | 4.57571e10i | 0.870573 | − | 2.14179i | ||||
\(895\) | 7.82461e9 | 0.364823 | ||||||||
\(896\) | 2.58239e10 | − | 1.21289e10i | 1.19934 | − | 0.563303i | ||||
\(897\) | 9.26469e9 | 0.428605 | ||||||||
\(898\) | −3.29026e9 | + | 8.09474e9i | −0.151622 | + | 0.373023i | ||||
\(899\) | −3.74860e7 | + | 3.74860e7i | −0.00172072 | + | 0.00172072i | ||||
\(900\) | 1.31686e10 | + | 1.28240e10i | 0.602129 | + | 0.586373i | ||||
\(901\) | 5.78333e9 | + | 5.78333e9i | 0.263415 | + | 0.263415i | ||||
\(902\) | 1.17080e9 | + | 2.77441e9i | 0.0531204 | + | 0.125878i | ||||
\(903\) | 1.18579e10i | 0.535920i | ||||||||
\(904\) | −1.42214e10 | + | 6.22478e9i | −0.640253 | + | 0.280243i | ||||
\(905\) | − | 3.10625e10i | − | 1.39305i | ||||||
\(906\) | −1.00659e10 | + | 4.24782e9i | −0.449681 | + | 0.189766i | ||||
\(907\) | 1.84084e10 | + | 1.84084e10i | 0.819203 | + | 0.819203i | 0.985993 | − | 0.166789i | \(-0.0533400\pi\) |
−0.166789 | + | 0.985993i | \(0.553340\pi\) | |||||||
\(908\) | 1.49478e10 | − | 1.98165e8i | 0.662638 | − | 0.00878468i | ||||
\(909\) | −2.31470e10 | + | 2.31470e10i | −1.02216 | + | 1.02216i | ||||
\(910\) | −9.04462e9 | − | 3.67636e9i | −0.397874 | − | 0.161724i | ||||
\(911\) | −1.76557e10 | −0.773697 | −0.386848 | − | 0.922143i | \(-0.626436\pi\) | ||||
−0.386848 | + | 0.922143i | \(0.626436\pi\) | |||||||
\(912\) | −3.62167e10 | + | 9.60428e8i | −1.58098 | + | 0.0419260i | ||||
\(913\) | 1.12639e8 | 0.00489825 | ||||||||
\(914\) | 1.82566e10 | + | 7.42076e9i | 0.790877 | + | 0.321467i | ||||
\(915\) | 1.95641e10 | − | 1.95641e10i | 0.844280 | − | 0.844280i | ||||
\(916\) | 1.55109e8 | + | 1.17000e10i | 0.00666809 | + | 0.502982i | ||||
\(917\) | −2.35566e9 | − | 2.35566e9i | −0.100883 | − | 0.100883i | ||||
\(918\) | −6.23155e10 | + | 2.62972e10i | −2.65856 | + | 1.12191i | ||||
\(919\) | − | 2.50780e10i | − | 1.06583i | −0.846169 | − | 0.532915i | \(-0.821097\pi\) | ||
0.846169 | − | 0.532915i | \(-0.178903\pi\) | |||||||
\(920\) | −4.03332e9 | + | 1.03126e10i | −0.170768 | + | 0.436629i | ||||
\(921\) | 7.63349e10i | 3.21969i | ||||||||
\(922\) | −2.45528e9 | − | 5.81818e9i | −0.103167 | − | 0.244472i | ||||
\(923\) | −1.22485e10 | − | 1.22485e10i | −0.512715 | − | 0.512715i | ||||
\(924\) | 4.16171e9 | − | 4.27354e9i | 0.173548 | − | 0.178211i | ||||
\(925\) | −2.75989e9 | + | 2.75989e9i | −0.114656 | + | 0.114656i | ||||
\(926\) | 8.07634e9 | − | 1.98695e10i | 0.334254 | − | 0.822334i | ||||
\(927\) | −7.49861e10 | −3.09173 | ||||||||
\(928\) | −9.79851e8 | + | 4.44456e8i | −0.0402478 | + | 0.0182562i | ||||
\(929\) | 1.46170e10 | 0.598140 | 0.299070 | − | 0.954231i | \(-0.403324\pi\) | ||||
0.299070 | + | 0.954231i | \(0.403324\pi\) | |||||||
\(930\) | 7.72863e8 | − | 1.90140e9i | 0.0315074 | − | 0.0775147i | ||||
\(931\) | 1.11428e10 | − | 1.11428e10i | 0.452555 | − | 0.452555i | ||||
\(932\) | −1.17787e10 | + | 1.20952e10i | −0.476586 | + | 0.489392i | ||||
\(933\) | 3.34604e9 | + | 3.34604e9i | 0.134879 | + | 0.134879i | ||||
\(934\) | 9.67254e9 | + | 2.29207e10i | 0.388442 | + | 0.920478i | ||||
\(935\) | 2.12369e9i | 0.0849670i | ||||||||
\(936\) | −2.31515e10 | − | 9.05468e9i | −0.922815 | − | 0.360917i | ||||
\(937\) | 1.58555e10i | 0.629637i | 0.949152 | + | 0.314818i | \(0.101944\pi\) | ||||
−0.949152 | + | 0.314818i | \(0.898056\pi\) | |||||||
\(938\) | −3.99101e10 | + | 1.68421e10i | −1.57897 | + | 0.666324i | ||||
\(939\) | 5.65624e10 | + | 5.65624e10i | 2.22945 | + | 2.22945i | ||||
\(940\) | 4.80284e8 | + | 3.62283e10i | 0.0188604 | + | 1.42266i | ||||
\(941\) | 1.71527e10 | − | 1.71527e10i | 0.671071 | − | 0.671071i | −0.286892 | − | 0.957963i | \(-0.592622\pi\) |
0.957963 | + | 0.286892i | \(0.0926221\pi\) | |||||||
\(942\) | 3.10684e10 | + | 1.26284e10i | 1.21099 | + | 0.492231i | ||||
\(943\) | 2.01649e10 | 0.783079 | ||||||||
\(944\) | 1.81317e10 | − | 1.91195e10i | 0.701513 | − | 0.739733i | ||||
\(945\) | 7.77048e10 | 2.99527 | ||||||||
\(946\) | 5.25175e8 | + | 2.13468e8i | 0.0201690 | + | 0.00819810i | ||||
\(947\) | 6.39507e9 | − | 6.39507e9i | 0.244693 | − | 0.244693i | −0.574096 | − | 0.818788i | \(-0.694646\pi\) |
0.818788 | + | 0.574096i | \(0.194646\pi\) | |||||||
\(948\) | −3.96340e10 | + | 5.25433e8i | −1.51091 | + | 0.0200303i | ||||
\(949\) | 9.45348e9 | + | 9.45348e9i | 0.359054 | + | 0.359054i | ||||
\(950\) | 6.96647e9 | − | 2.93985e9i | 0.263621 | − | 0.111248i | ||||
\(951\) | − | 4.74216e10i | − | 1.78790i | ||||||
\(952\) | −1.46919e10 | − | 3.35656e10i | −0.551885 | − | 1.26086i | ||||
\(953\) | 3.47793e10i | 1.30165i | 0.759226 | + | 0.650827i | \(0.225578\pi\) | ||||
−0.759226 | + | 0.650827i | \(0.774422\pi\) | |||||||
\(954\) | −9.30197e9 | − | 2.20426e10i | −0.346861 | − | 0.821945i | ||||
\(955\) | 1.43837e9 | + | 1.43837e9i | 0.0534390 | + | 0.0534390i | ||||
\(956\) | −1.19119e10 | − | 1.16002e10i | −0.440939 | − | 0.429401i | ||||
\(957\) | −1.59070e8 | + | 1.59070e8i | −0.00586673 | + | 0.00586673i | ||||
\(958\) | −3.95079e9 | + | 9.71978e9i | −0.145179 | + | 0.357172i | ||||
\(959\) | 3.86537e9 | 0.141522 | ||||||||
\(960\) | 2.82611e10 | − | 3.06034e10i | 1.03096 | − | 1.11640i | ||||
\(961\) | −2.74292e10 | −0.996968 | ||||||||
\(962\) | 1.98768e9 | − | 4.89011e9i | 0.0719836 | − | 0.177095i | ||||
\(963\) | −2.25118e10 | + | 2.25118e10i | −0.812303 | + | 0.812303i | ||||
\(964\) | 1.32161e10 | + | 1.28702e10i | 0.475152 | + | 0.462718i | ||||
\(965\) | 2.24239e10 | + | 2.24239e10i | 0.803276 | + | 0.803276i | ||||
\(966\) | −1.55304e10 | − | 3.68019e10i | −0.554323 | − | 1.31356i | ||||
\(967\) | − | 1.12415e10i | − | 0.399790i | −0.979817 | − | 0.199895i | \(-0.935940\pi\) | ||
0.979817 | − | 0.199895i | \(-0.0640602\pi\) | |||||||
\(968\) | 1.12014e10 | + | 2.55912e10i | 0.396925 | + | 0.906830i | ||||
\(969\) | 4.65278e10i | 1.64278i | ||||||||
\(970\) | 3.64081e10 | − | 1.53642e10i | 1.28085 | − | 0.540518i | ||||
\(971\) | 1.71514e10 | + | 1.71514e10i | 0.601219 | + | 0.601219i | 0.940636 | − | 0.339417i | \(-0.110230\pi\) |
−0.339417 | + | 0.940636i | \(0.610230\pi\) | |||||||
\(972\) | 6.48423e10 | − | 8.59622e8i | 2.26478 | − | 0.0300245i | ||||
\(973\) | 3.59897e10 | − | 3.59897e10i | 1.25252 | − | 1.25252i | ||||
\(974\) | −3.52064e10 | − | 1.43103e10i | −1.22086 | − | 0.496241i | ||||
\(975\) | 7.27403e9 | 0.251338 | ||||||||
\(976\) | 1.65593e10 | + | 1.57037e10i | 0.570122 | + | 0.540665i | ||||
\(977\) | 4.79355e10 | 1.64447 | 0.822236 | − | 0.569147i | \(-0.192726\pi\) | ||||
0.822236 | + | 0.569147i | \(0.192726\pi\) | |||||||
\(978\) | −4.85842e10 | − | 1.97480e10i | −1.66077 | − | 0.675051i | ||||
\(979\) | 8.23462e7 | − | 8.23462e7i | 0.00280481 | − | 0.00280481i | ||||
\(980\) | 2.40183e8 | + | 1.81173e10i | 0.00815174 | + | 0.614895i | ||||
\(981\) | −2.79631e10 | − | 2.79631e10i | −0.945679 | − | 0.945679i | ||||
\(982\) | −9.70184e9 | + | 4.09418e9i | −0.326937 | + | 0.137968i | ||||
\(983\) | − | 4.01721e9i | − | 0.134892i | −0.997723 | − | 0.0674462i | \(-0.978515\pi\) | ||
0.997723 | − | 0.0674462i | \(-0.0214851\pi\) | |||||||
\(984\) | −7.06470e10 | − | 2.76304e10i | −2.36380 | − | 0.924493i | ||||
\(985\) | − | 3.40324e10i | − | 1.13466i | ||||||
\(986\) | 5.37234e8 | + | 1.27307e9i | 0.0178482 | + | 0.0422943i | ||||
\(987\) | −9.24171e10 | − | 9.24171e10i | −3.05944 | − | 3.05944i | ||||
\(988\) | −7.13456e9 | + | 7.32627e9i | −0.235352 | + | 0.241676i | ||||
\(989\) | 2.68429e9 | − | 2.68429e9i | 0.0882354 | − | 0.0882354i | ||||
\(990\) | 2.33923e9 | − | 5.75499e9i | 0.0766212 | − | 0.188504i | ||||
\(991\) | 6.76525e9 | 0.220814 | 0.110407 | − | 0.993886i | \(-0.464785\pi\) | ||||
0.110407 | + | 0.993886i | \(0.464785\pi\) | |||||||
\(992\) | 1.58470e9 | + | 5.95685e8i | 0.0515413 | + | 0.0193743i | ||||
\(993\) | −2.25120e10 | −0.729610 | ||||||||
\(994\) | −2.81222e10 | + | 6.91865e10i | −0.908231 | + | 2.23444i | ||||
\(995\) | −1.76445e10 | + | 1.76445e10i | −0.567844 | + | 0.567844i | ||||
\(996\) | −1.97962e9 | + | 2.03281e9i | −0.0634853 | + | 0.0651912i | ||||
\(997\) | 2.14103e10 | + | 2.14103e10i | 0.684212 | + | 0.684212i | 0.960946 | − | 0.276735i | \(-0.0892523\pi\) |
−0.276735 | + | 0.960946i | \(0.589252\pi\) | |||||||
\(998\) | 7.24887e9 | + | 1.71774e10i | 0.230841 | + | 0.547016i | ||||
\(999\) | 4.20123e10i | 1.33321i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 16.8.e.a.5.8 | ✓ | 26 | |
4.3 | odd | 2 | 64.8.e.a.49.1 | 26 | |||
8.3 | odd | 2 | 128.8.e.a.97.13 | 26 | |||
8.5 | even | 2 | 128.8.e.b.97.1 | 26 | |||
16.3 | odd | 4 | 64.8.e.a.17.1 | 26 | |||
16.5 | even | 4 | 128.8.e.b.33.1 | 26 | |||
16.11 | odd | 4 | 128.8.e.a.33.13 | 26 | |||
16.13 | even | 4 | inner | 16.8.e.a.13.8 | yes | 26 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
16.8.e.a.5.8 | ✓ | 26 | 1.1 | even | 1 | trivial | |
16.8.e.a.13.8 | yes | 26 | 16.13 | even | 4 | inner | |
64.8.e.a.17.1 | 26 | 16.3 | odd | 4 | |||
64.8.e.a.49.1 | 26 | 4.3 | odd | 2 | |||
128.8.e.a.33.13 | 26 | 16.11 | odd | 4 | |||
128.8.e.a.97.13 | 26 | 8.3 | odd | 2 | |||
128.8.e.b.33.1 | 26 | 16.5 | even | 4 | |||
128.8.e.b.97.1 | 26 | 8.5 | even | 2 |