Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [91,8,Mod(16,91)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(91, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 2]))
N = Newforms(chi, 8, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("91.16");
S:= CuspForms(chi, 8);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 91 = 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 8 \) |
Character orbit: | \([\chi]\) | \(=\) | 91.h (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(28.4270373191\) |
Analytic rank: | \(0\) |
Dimension: | \(126\) |
Relative dimension: | \(63\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 16.11 | ||
Character | \(\chi\) | \(=\) | 91.16 |
Dual form | 91.8.h.a.74.11 |
$q$-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 \(\left(\mathbb{Z}/91\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(66\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −15.9608 | −1.41075 | −0.705373 | − | 0.708836i | \(-0.749220\pi\) | ||||
−0.705373 | + | 0.708836i | \(0.749220\pi\) | |||||||
\(3\) | 38.5973 | − | 66.8525i | 0.825339 | − | 1.42953i | −0.0763210 | − | 0.997083i | \(-0.524317\pi\) |
0.901660 | − | 0.432446i | \(-0.142349\pi\) | |||||||
\(4\) | 126.746 | 0.990204 | ||||||||
\(5\) | 172.468 | − | 298.723i | 0.617039 | − | 1.06874i | −0.372984 | − | 0.927838i | \(-0.621666\pi\) |
0.990023 | − | 0.140905i | \(-0.0450012\pi\) | |||||||
\(6\) | −616.042 | + | 1067.02i | −1.16434 | + | 2.01670i | ||||
\(7\) | −37.4390 | + | 906.720i | −0.0412554 | + | 0.999149i | ||||
\(8\) | 20.0123 | 0.0138192 | ||||||||
\(9\) | −1886.00 | − | 3266.65i | −0.862369 | − | 1.49367i | ||||
\(10\) | −2752.72 | + | 4767.84i | −0.870485 | + | 1.50772i | ||||
\(11\) | 2796.09 | − | 4842.97i | 0.633398 | − | 1.09708i | −0.353454 | − | 0.935452i | \(-0.614993\pi\) |
0.986852 | − | 0.161625i | \(-0.0516736\pi\) | |||||||
\(12\) | 4892.06 | − | 8473.29i | 0.817254 | − | 1.41553i | ||||
\(13\) | 7296.61 | − | 3083.49i | 0.921127 | − | 0.389261i | ||||
\(14\) | 597.555 | − | 14472.0i | 0.0582009 | − | 1.40954i | ||||
\(15\) | −13313.6 | − | 23059.8i | −1.01853 | − | 1.76415i | ||||
\(16\) | −16542.9 | −1.00970 | ||||||||
\(17\) | 23853.3 | 1.17754 | 0.588771 | − | 0.808300i | \(-0.299612\pi\) | ||||
0.588771 | + | 0.808300i | \(0.299612\pi\) | |||||||
\(18\) | 30102.0 | + | 52138.2i | 1.21658 | + | 2.10718i | ||||
\(19\) | −13878.5 | − | 24038.2i | −0.464199 | − | 0.804015i | 0.534966 | − | 0.844873i | \(-0.320324\pi\) |
−0.999165 | + | 0.0408579i | \(0.986991\pi\) | |||||||
\(20\) | 21859.6 | − | 37861.9i | 0.610994 | − | 1.05827i | ||||
\(21\) | 59171.4 | + | 37499.8i | 1.39426 | + | 0.883612i | ||||
\(22\) | −44627.7 | + | 77297.5i | −0.893563 | + | 1.54770i | ||||
\(23\) | 106500. | 1.82517 | 0.912585 | − | 0.408887i | \(-0.134083\pi\) | ||||
0.912585 | + | 0.408887i | \(0.134083\pi\) | |||||||
\(24\) | 772.421 | − | 1337.87i | 0.0114055 | − | 0.0197549i | ||||
\(25\) | −20427.6 | − | 35381.7i | −0.261474 | − | 0.452886i | ||||
\(26\) | −116460. | + | 49214.9i | −1.29948 | + | 0.549149i | ||||
\(27\) | −122354. | −1.19631 | ||||||||
\(28\) | −4745.25 | + | 114923.i | −0.0408513 | + | 0.989361i | ||||
\(29\) | −32226.1 | − | 55817.3i | −0.245366 | − | 0.424987i | 0.716868 | − | 0.697209i | \(-0.245575\pi\) |
−0.962235 | + | 0.272222i | \(0.912242\pi\) | |||||||
\(30\) | 212495. | + | 368052.i | 1.43689 | + | 2.48877i | ||||
\(31\) | 81663.5 | + | 141445.i | 0.492336 | + | 0.852752i | 0.999961 | − | 0.00882662i | \(-0.00280964\pi\) |
−0.507625 | + | 0.861578i | \(0.669476\pi\) | |||||||
\(32\) | 261476. | 1.41061 | ||||||||
\(33\) | −215843. | − | 373851.i | −1.04554 | − | 1.81092i | ||||
\(34\) | −380717. | −1.66121 | ||||||||
\(35\) | 264401. | + | 167564.i | 1.04238 | + | 0.660605i | ||||
\(36\) | −239043. | − | 414035.i | −0.853921 | − | 1.47904i | ||||
\(37\) | 103945. | 0.337364 | 0.168682 | − | 0.985671i | \(-0.446049\pi\) | ||||
0.168682 | + | 0.985671i | \(0.446049\pi\) | |||||||
\(38\) | 221511. | + | 383668.i | 0.654866 | + | 1.13426i | ||||
\(39\) | 75490.4 | − | 606811.i | 0.203782 | − | 1.63805i | ||||
\(40\) | 3451.48 | − | 5978.13i | 0.00852698 | − | 0.0147692i | ||||
\(41\) | −280077. | − | 485108.i | −0.634650 | − | 1.09925i | −0.986589 | − | 0.163223i | \(-0.947811\pi\) |
0.351939 | − | 0.936023i | \(-0.385522\pi\) | |||||||
\(42\) | −944421. | − | 598526.i | −1.96695 | − | 1.24655i | ||||
\(43\) | 190998. | − | 330818.i | 0.366344 | − | 0.634527i | −0.622647 | − | 0.782503i | \(-0.713943\pi\) |
0.988991 | + | 0.147976i | \(0.0472760\pi\) | |||||||
\(44\) | 354393. | − | 613827.i | 0.627193 | − | 1.08633i | ||||
\(45\) | −1.30110e6 | −2.12846 | ||||||||
\(46\) | −1.69983e6 | −2.57485 | ||||||||
\(47\) | −272477. | + | 471944.i | −0.382814 | + | 0.663052i | −0.991463 | − | 0.130387i | \(-0.958378\pi\) |
0.608650 | + | 0.793439i | \(0.291711\pi\) | |||||||
\(48\) | −638512. | + | 1.10593e6i | −0.833345 | + | 1.44340i | ||||
\(49\) | −820740. | − | 67893.4i | −0.996596 | − | 0.0824406i | ||||
\(50\) | 326041. | + | 564719.i | 0.368873 | + | 0.638907i | ||||
\(51\) | 920671. | − | 1.59465e6i | 0.971872 | − | 1.68333i | ||||
\(52\) | 924818. | − | 390821.i | 0.912104 | − | 0.385448i | ||||
\(53\) | 619396. | + | 1.07283e6i | 0.571482 | + | 0.989836i | 0.996414 | + | 0.0846110i | \(0.0269648\pi\) |
−0.424932 | + | 0.905225i | \(0.639702\pi\) | |||||||
\(54\) | 1.95286e6 | 1.68769 | ||||||||
\(55\) | −964469. | − | 1.67051e6i | −0.781662 | − | 1.35388i | ||||
\(56\) | −749.241 | + | 18145.6i | −0.000570116 | + | 0.0138074i | ||||
\(57\) | −2.14268e6 | −1.53248 | ||||||||
\(58\) | 514354. | + | 890887.i | 0.346150 | + | 0.599549i | ||||
\(59\) | −1.12035e6 | −0.710187 | −0.355094 | − | 0.934831i | \(-0.615551\pi\) | ||||
−0.355094 | + | 0.934831i | \(0.615551\pi\) | |||||||
\(60\) | −1.68744e6 | − | 2.92274e6i | −1.00856 | − | 1.74687i | ||||
\(61\) | −814508. | − | 1.41077e6i | −0.459453 | − | 0.795795i | 0.539479 | − | 0.841999i | \(-0.318621\pi\) |
−0.998932 | + | 0.0462034i | \(0.985288\pi\) | |||||||
\(62\) | −1.30341e6 | − | 2.25758e6i | −0.694562 | − | 1.20302i | ||||
\(63\) | 3.03255e6 | − | 1.58777e6i | 1.52797 | − | 0.800013i | ||||
\(64\) | −2.05587e6 | −0.980314 | ||||||||
\(65\) | 337320. | − | 2.71147e6i | 0.152351 | − | 1.22464i | ||||
\(66\) | 3.44502e6 | + | 5.96695e6i | 1.47499 | + | 2.55475i | ||||
\(67\) | −565220. | + | 978989.i | −0.229591 | + | 0.397664i | −0.957687 | − | 0.287812i | \(-0.907072\pi\) |
0.728096 | + | 0.685475i | \(0.240406\pi\) | |||||||
\(68\) | 3.02331e6 | 1.16601 | ||||||||
\(69\) | 4.11062e6 | − | 7.11981e6i | 1.50638 | − | 2.60913i | ||||
\(70\) | −4.22004e6 | − | 2.67445e6i | −1.47053 | − | 0.931946i | ||||
\(71\) | −1.19456e6 | + | 2.06903e6i | −0.396098 | + | 0.686062i | −0.993241 | − | 0.116073i | \(-0.962969\pi\) |
0.597143 | + | 0.802135i | \(0.296303\pi\) | |||||||
\(72\) | −37743.3 | − | 65373.2i | −0.0119172 | − | 0.0206413i | ||||
\(73\) | 3.14855e6 | + | 5.45345e6i | 0.947284 | + | 1.64074i | 0.751112 | + | 0.660175i | \(0.229518\pi\) |
0.196172 | + | 0.980569i | \(0.437149\pi\) | |||||||
\(74\) | −1.65905e6 | −0.475935 | ||||||||
\(75\) | −3.15380e6 | −0.863218 | ||||||||
\(76\) | −1.75904e6 | − | 3.04675e6i | −0.459651 | − | 0.796140i | ||||
\(77\) | 4.28653e6 | + | 2.71659e6i | 1.07001 | + | 0.678119i | ||||
\(78\) | −1.20488e6 | + | 9.68517e6i | −0.287484 | + | 2.31087i | ||||
\(79\) | −4.01256e6 | + | 6.94995e6i | −0.915644 | + | 1.58594i | −0.109687 | + | 0.993966i | \(0.534985\pi\) |
−0.805956 | + | 0.591975i | \(0.798348\pi\) | |||||||
\(80\) | −2.85312e6 | + | 4.94174e6i | −0.623024 | + | 1.07911i | ||||
\(81\) | −597829. | + | 1.03547e6i | −0.124991 | + | 0.216491i | ||||
\(82\) | 4.47025e6 | + | 7.74269e6i | 0.895330 | + | 1.55076i | ||||
\(83\) | −2.41352e6 | −0.463316 | −0.231658 | − | 0.972797i | \(-0.574415\pi\) | ||||
−0.231658 | + | 0.972797i | \(0.574415\pi\) | |||||||
\(84\) | 7.49975e6 | + | 4.75296e6i | 1.38060 | + | 0.874957i | ||||
\(85\) | 4.11392e6 | − | 7.12551e6i | 0.726589 | − | 1.25849i | ||||
\(86\) | −3.04848e6 | + | 5.28011e6i | −0.516819 | + | 0.895156i | ||||
\(87\) | −4.97536e6 | −0.810042 | ||||||||
\(88\) | 55956.2 | − | 96919.0i | 0.00875304 | − | 0.0151607i | ||||
\(89\) | −9.90260e6 | −1.48896 | −0.744482 | − | 0.667643i | \(-0.767303\pi\) | ||||
−0.744482 | + | 0.667643i | \(0.767303\pi\) | |||||||
\(90\) | 2.07665e7 | 3.00272 | ||||||||
\(91\) | 2.52269e6 | + | 6.73143e6i | 0.350929 | + | 0.936402i | ||||
\(92\) | 1.34985e7 | 1.80729 | ||||||||
\(93\) | 1.26080e7 | 1.62538 | ||||||||
\(94\) | 4.34894e6 | − | 7.53259e6i | 0.540053 | − | 0.935399i | ||||
\(95\) | −9.57434e6 | −1.14571 | ||||||||
\(96\) | 1.00923e7 | − | 1.74803e7i | 1.16423 | − | 2.01651i | ||||
\(97\) | −4.44499e6 | + | 7.69894e6i | −0.494503 | + | 0.856505i | −0.999980 | − | 0.00633523i | \(-0.997983\pi\) |
0.505476 | + | 0.862840i | \(0.331317\pi\) | |||||||
\(98\) | 1.30996e7 | + | 1.08363e6i | 1.40594 | + | 0.116303i | ||||
\(99\) | −2.10937e7 | −2.18489 | ||||||||
\(100\) | −2.58912e6 | − | 4.48449e6i | −0.258912 | − | 0.448449i | ||||
\(101\) | 215804. | − | 373784.i | 0.0208418 | − | 0.0360991i | −0.855416 | − | 0.517941i | \(-0.826699\pi\) |
0.876258 | + | 0.481842i | \(0.160032\pi\) | |||||||
\(102\) | −1.46946e7 | + | 2.54518e7i | −1.37106 | + | 2.37475i | ||||
\(103\) | 4.22984e6 | − | 7.32629e6i | 0.381411 | − | 0.660623i | −0.609853 | − | 0.792514i | \(-0.708772\pi\) |
0.991264 | + | 0.131891i | \(0.0421049\pi\) | |||||||
\(104\) | 146022. | − | 61707.9i | 0.0127292 | − | 0.00537928i | ||||
\(105\) | 2.14072e7 | − | 1.12083e7i | 1.80467 | − | 0.944884i | ||||
\(106\) | −9.88604e6 | − | 1.71231e7i | −0.806216 | − | 1.39641i | ||||
\(107\) | −1.25112e7 | −0.987317 | −0.493659 | − | 0.869656i | \(-0.664341\pi\) | ||||
−0.493659 | + | 0.869656i | \(0.664341\pi\) | |||||||
\(108\) | −1.55078e7 | −1.18459 | ||||||||
\(109\) | −3.23843e6 | − | 5.60912e6i | −0.239520 | − | 0.414860i | 0.721057 | − | 0.692876i | \(-0.243657\pi\) |
−0.960577 | + | 0.278016i | \(0.910323\pi\) | |||||||
\(110\) | 1.53937e7 | + | 2.66626e7i | 1.10273 | + | 1.90998i | ||||
\(111\) | 4.01200e6 | − | 6.94899e6i | 0.278439 | − | 0.482271i | ||||
\(112\) | 619350. | − | 1.49998e7i | 0.0416556 | − | 1.00884i | ||||
\(113\) | 1.66254e6 | − | 2.87960e6i | 0.108392 | − | 0.187740i | −0.806727 | − | 0.590924i | \(-0.798763\pi\) |
0.915119 | + | 0.403184i | \(0.132097\pi\) | |||||||
\(114\) | 3.41989e7 | 2.16195 | ||||||||
\(115\) | 1.83678e7 | − | 3.18140e7i | 1.12620 | − | 1.95064i | ||||
\(116\) | −4.08454e6 | − | 7.07463e6i | −0.242963 | − | 0.420824i | ||||
\(117\) | −2.38341e7 | − | 1.80200e7i | −1.37578 | − | 1.04017i | ||||
\(118\) | 1.78817e7 | 1.00189 | ||||||||
\(119\) | −893042. | + | 2.16282e7i | −0.0485800 | + | 1.17654i | ||||
\(120\) | −266435. | − | 461479.i | −0.0140753 | − | 0.0243791i | ||||
\(121\) | −5.89264e6 | − | 1.02063e7i | −0.302385 | − | 0.523747i | ||||
\(122\) | 1.30002e7 | + | 2.25170e7i | 0.648171 | + | 1.12267i | ||||
\(123\) | −4.32409e7 | −2.09520 | ||||||||
\(124\) | 1.03505e7 | + | 1.79276e7i | 0.487514 | + | 0.844398i | ||||
\(125\) | 1.28556e7 | 0.588720 | ||||||||
\(126\) | −4.84018e7 | + | 2.53421e7i | −2.15558 | + | 1.12861i | ||||
\(127\) | 1.83011e6 | + | 3.16984e6i | 0.0792801 | + | 0.137317i | 0.902940 | − | 0.429768i | \(-0.141405\pi\) |
−0.823659 | + | 0.567085i | \(0.808071\pi\) | |||||||
\(128\) | −655732. | −0.0276371 | ||||||||
\(129\) | −1.47440e7 | − | 2.55374e7i | −0.604716 | − | 1.04740i | ||||
\(130\) | −5.38389e6 | + | 4.32771e7i | −0.214929 | + | 1.72765i | ||||
\(131\) | 7.66904e6 | − | 1.32832e7i | 0.298052 | − | 0.516241i | −0.677638 | − | 0.735395i | \(-0.736997\pi\) |
0.975690 | + | 0.219154i | \(0.0703299\pi\) | |||||||
\(132\) | −2.73573e7 | − | 4.73841e7i | −1.03529 | − | 1.79318i | ||||
\(133\) | 2.23155e7 | − | 1.16839e7i | 0.822482 | − | 0.430633i | ||||
\(134\) | 9.02134e6 | − | 1.56254e7i | 0.323895 | − | 0.561003i | ||||
\(135\) | −2.11020e7 | + | 3.65498e7i | −0.738169 | + | 1.27855i | ||||
\(136\) | 477359. | 0.0162727 | ||||||||
\(137\) | −2.75106e7 | −0.914069 | −0.457034 | − | 0.889449i | \(-0.651088\pi\) | ||||
−0.457034 | + | 0.889449i | \(0.651088\pi\) | |||||||
\(138\) | −6.56087e7 | + | 1.13638e8i | −2.12513 | + | 3.68082i | ||||
\(139\) | 8.87362e6 | − | 1.53696e7i | 0.280252 | − | 0.485411i | −0.691195 | − | 0.722669i | \(-0.742915\pi\) |
0.971447 | + | 0.237258i | \(0.0762486\pi\) | |||||||
\(140\) | 3.35118e7 | + | 2.12381e7i | 1.03217 | + | 0.654134i | ||||
\(141\) | 2.10337e7 | + | 3.64315e7i | 0.631902 | + | 1.09449i | ||||
\(142\) | 1.90660e7 | − | 3.30233e7i | 0.558793 | − | 0.967859i | ||||
\(143\) | 5.46872e6 | − | 4.39590e7i | 0.156390 | − | 1.25710i | ||||
\(144\) | 3.12000e7 | + | 5.40399e7i | 0.870734 | + | 1.50815i | ||||
\(145\) | −2.22318e7 | −0.605602 | ||||||||
\(146\) | −5.02532e7 | − | 8.70412e7i | −1.33638 | − | 2.31467i | ||||
\(147\) | −3.62172e7 | + | 5.22480e7i | −0.940381 | + | 1.35662i | ||||
\(148\) | 1.31747e7 | 0.334059 | ||||||||
\(149\) | 3.88628e7 | + | 6.73123e7i | 0.962458 | + | 1.66703i | 0.716294 | + | 0.697798i | \(0.245837\pi\) |
0.246164 | + | 0.969228i | \(0.420830\pi\) | |||||||
\(150\) | 5.03371e7 | 1.21778 | ||||||||
\(151\) | 1.02396e7 | + | 1.77355e7i | 0.242026 | + | 0.419202i | 0.961291 | − | 0.275534i | \(-0.0888547\pi\) |
−0.719265 | + | 0.694736i | \(0.755521\pi\) | |||||||
\(152\) | −277740. | − | 481060.i | −0.00641485 | − | 0.0111108i | ||||
\(153\) | −4.49873e7 | − | 7.79203e7i | −1.01548 | − | 1.75886i | ||||
\(154\) | −6.84164e7 | − | 4.33588e7i | −1.50952 | − | 0.956653i | ||||
\(155\) | 5.63372e7 | 1.21516 | ||||||||
\(156\) | 9.56811e6 | − | 7.69110e7i | 0.201786 | − | 1.62201i | ||||
\(157\) | −1.49462e7 | − | 2.58875e7i | −0.308234 | − | 0.533877i | 0.669742 | − | 0.742594i | \(-0.266405\pi\) |
−0.977976 | + | 0.208717i | \(0.933071\pi\) | |||||||
\(158\) | 6.40435e7 | − | 1.10927e8i | 1.29174 | − | 2.23736i | ||||
\(159\) | 9.56280e7 | 1.88667 | ||||||||
\(160\) | 4.50962e7 | − | 7.81088e7i | 0.870401 | − | 1.50758i | ||||
\(161\) | −3.98726e6 | + | 9.65659e7i | −0.0752982 | + | 1.82362i | ||||
\(162\) | 9.54182e6 | − | 1.65269e7i | 0.176331 | − | 0.305414i | ||||
\(163\) | 2.69908e6 | + | 4.67495e6i | 0.0488157 | + | 0.0845513i | 0.889401 | − | 0.457128i | \(-0.151122\pi\) |
−0.840585 | + | 0.541680i | \(0.817789\pi\) | |||||||
\(164\) | −3.54987e7 | − | 6.14855e7i | −0.628433 | − | 1.08848i | ||||
\(165\) | −1.48904e8 | −2.58054 | ||||||||
\(166\) | 3.85216e7 | 0.653622 | ||||||||
\(167\) | 4.55690e7 | + | 7.89278e7i | 0.757115 | + | 1.31136i | 0.944316 | + | 0.329040i | \(0.106725\pi\) |
−0.187201 | + | 0.982322i | \(0.559942\pi\) | |||||||
\(168\) | 1.18416e6 | + | 750459.i | 0.0192676 | + | 0.0122108i | ||||
\(169\) | 4.37326e7 | − | 4.49981e7i | 0.696951 | − | 0.717119i | ||||
\(170\) | −6.56613e7 | + | 1.13729e8i | −1.02503 | + | 1.77541i | ||||
\(171\) | −5.23496e7 | + | 9.06721e7i | −0.800621 | + | 1.38672i | ||||
\(172\) | 2.42083e7 | − | 4.19299e7i | 0.362756 | − | 0.628311i | ||||
\(173\) | 6.24306e6 | + | 1.08133e7i | 0.0916719 | + | 0.158780i | 0.908215 | − | 0.418504i | \(-0.137446\pi\) |
−0.816543 | + | 0.577285i | \(0.804112\pi\) | |||||||
\(174\) | 7.94106e7 | 1.14276 | ||||||||
\(175\) | 3.28461e7 | − | 1.71975e7i | 0.463287 | − | 0.242567i | ||||
\(176\) | −4.62555e7 | + | 8.01168e7i | −0.639542 | + | 1.10772i | ||||
\(177\) | −4.32426e7 | + | 7.48984e7i | −0.586145 | + | 1.01523i | ||||
\(178\) | 1.58053e8 | 2.10055 | ||||||||
\(179\) | −1.24987e7 | + | 2.16484e7i | −0.162885 | + | 0.282125i | −0.935902 | − | 0.352260i | \(-0.885413\pi\) |
0.773017 | + | 0.634385i | \(0.218747\pi\) | |||||||
\(180\) | −1.64909e8 | −2.10761 | ||||||||
\(181\) | −2.01268e7 | −0.252290 | −0.126145 | − | 0.992012i | \(-0.540260\pi\) | ||||
−0.126145 | + | 0.992012i | \(0.540260\pi\) | |||||||
\(182\) | −4.02640e7 | − | 1.07439e8i | −0.495071 | − | 1.32103i | ||||
\(183\) | −1.25751e8 | −1.51682 | ||||||||
\(184\) | 2.13132e6 | 0.0252224 | ||||||||
\(185\) | 1.79272e7 | − | 3.10508e7i | 0.208167 | − | 0.360555i | ||||
\(186\) | −2.01233e8 | −2.29300 | ||||||||
\(187\) | 6.66958e7 | − | 1.15521e8i | 0.745853 | − | 1.29186i | ||||
\(188\) | −3.45354e7 | + | 5.98171e7i | −0.379064 | + | 0.656557i | ||||
\(189\) | 4.58079e6 | − | 1.10940e8i | 0.0493542 | − | 1.19529i | ||||
\(190\) | 1.52814e8 | 1.61631 | ||||||||
\(191\) | 9.32969e6 | + | 1.61595e7i | 0.0968837 | + | 0.167807i | 0.910393 | − | 0.413744i | \(-0.135779\pi\) |
−0.813510 | + | 0.581552i | \(0.802446\pi\) | |||||||
\(192\) | −7.93509e7 | + | 1.37440e8i | −0.809091 | + | 1.40139i | ||||
\(193\) | 2.06832e7 | − | 3.58243e7i | 0.207094 | − | 0.358697i | −0.743704 | − | 0.668509i | \(-0.766933\pi\) |
0.950798 | + | 0.309812i | \(0.100266\pi\) | |||||||
\(194\) | 7.09454e7 | − | 1.22881e8i | 0.697619 | − | 1.20831i | ||||
\(195\) | −1.68249e8 | − | 1.27206e8i | −1.62491 | − | 1.22853i | ||||
\(196\) | −1.04026e8 | − | 8.60522e6i | −0.986834 | − | 0.0816330i | ||||
\(197\) | −8.48822e6 | − | 1.47020e7i | −0.0791015 | − | 0.137008i | 0.823761 | − | 0.566937i | \(-0.191872\pi\) |
−0.902863 | + | 0.429929i | \(0.858538\pi\) | |||||||
\(198\) | 3.36672e8 | 3.08232 | ||||||||
\(199\) | 1.47367e8 | 1.32560 | 0.662802 | − | 0.748795i | \(-0.269367\pi\) | ||||
0.662802 | + | 0.748795i | \(0.269367\pi\) | |||||||
\(200\) | −408804. | − | 708070.i | −0.00361335 | − | 0.00625851i | ||||
\(201\) | 4.36319e7 | + | 7.55726e7i | 0.378981 | + | 0.656415i | ||||
\(202\) | −3.44440e6 | + | 5.96588e6i | −0.0294025 | + | 0.0509266i | ||||
\(203\) | 5.18172e7 | − | 2.71303e7i | 0.434748 | − | 0.227625i | ||||
\(204\) | 1.16692e8 | − | 2.02116e8i | 0.962352 | − | 1.66684i | ||||
\(205\) | −1.93217e8 | −1.56641 | ||||||||
\(206\) | −6.75115e7 | + | 1.16933e8i | −0.538074 | + | 0.931972i | ||||
\(207\) | −2.00860e8 | − | 3.47899e8i | −1.57397 | − | 2.72620i | ||||
\(208\) | −1.20707e8 | + | 5.10100e7i | −0.930062 | + | 0.393037i | ||||
\(209\) | −1.55222e8 | −1.17609 | ||||||||
\(210\) | −3.41675e8 | + | 1.78894e8i | −2.54593 | + | 1.33299i | ||||
\(211\) | 460478. | + | 797571.i | 0.00337458 | + | 0.00584495i | 0.867708 | − | 0.497075i | \(-0.165593\pi\) |
−0.864333 | + | 0.502920i | \(0.832259\pi\) | |||||||
\(212\) | 7.85061e7 | + | 1.35976e8i | 0.565884 | + | 0.980140i | ||||
\(213\) | 9.22133e7 | + | 1.59718e8i | 0.653830 | + | 1.13247i | ||||
\(214\) | 1.99689e8 | 1.39285 | ||||||||
\(215\) | −6.58819e7 | − | 1.14111e8i | −0.452097 | − | 0.783055i | ||||
\(216\) | −2.44858e6 | −0.0165320 | ||||||||
\(217\) | −1.31309e8 | + | 6.87504e7i | −0.872337 | + | 0.456737i | ||||
\(218\) | 5.16878e7 | + | 8.95258e7i | 0.337901 | + | 0.585262i | ||||
\(219\) | 4.86102e8 | 3.12732 | ||||||||
\(220\) | −1.22243e8 | − | 2.11731e8i | −0.774005 | − | 1.34062i | ||||
\(221\) | 1.74048e8 | − | 7.35514e7i | 1.08467 | − | 0.458372i | ||||
\(222\) | −6.40347e7 | + | 1.10911e8i | −0.392807 | + | 0.680362i | ||||
\(223\) | −5.13732e7 | − | 8.89810e7i | −0.310220 | − | 0.537317i | 0.668190 | − | 0.743991i | \(-0.267069\pi\) |
−0.978410 | + | 0.206674i | \(0.933736\pi\) | |||||||
\(224\) | −9.78940e6 | + | 2.37086e8i | −0.0581953 | + | 1.40941i | ||||
\(225\) | −7.70530e7 | + | 1.33460e8i | −0.450973 | + | 0.781109i | ||||
\(226\) | −2.65354e7 | + | 4.59607e7i | −0.152914 | + | 0.264854i | ||||
\(227\) | 2.28079e8 | 1.29418 | 0.647090 | − | 0.762413i | \(-0.275986\pi\) | ||||
0.647090 | + | 0.762413i | \(0.275986\pi\) | |||||||
\(228\) | −2.71577e8 | −1.51747 | ||||||||
\(229\) | 7.22321e7 | − | 1.25110e8i | 0.397471 | − | 0.688440i | −0.595942 | − | 0.803028i | \(-0.703221\pi\) |
0.993413 | + | 0.114587i | \(0.0365545\pi\) | |||||||
\(230\) | −2.93165e8 | + | 5.07777e8i | −1.58878 | + | 2.75185i | ||||
\(231\) | 3.47059e8 | − | 1.81712e8i | 1.85251 | − | 0.969935i | ||||
\(232\) | −644920. | − | 1.11703e6i | −0.00339077 | − | 0.00587298i | ||||
\(233\) | 8.06305e7 | − | 1.39656e8i | 0.417593 | − | 0.723293i | −0.578103 | − | 0.815964i | \(-0.696207\pi\) |
0.995697 | + | 0.0926705i | \(0.0295403\pi\) | |||||||
\(234\) | 3.80411e8 | + | 2.87613e8i | 1.94087 | + | 1.46742i | ||||
\(235\) | 9.39869e7 | + | 1.62790e8i | 0.472422 | + | 0.818258i | ||||
\(236\) | −1.42000e8 | −0.703231 | ||||||||
\(237\) | 3.09748e8 | + | 5.36499e8i | 1.51143 | + | 2.61788i | ||||
\(238\) | 1.42536e7 | − | 3.45203e8i | 0.0685341 | − | 1.65980i | ||||
\(239\) | −3.14727e8 | −1.49122 | −0.745610 | − | 0.666383i | \(-0.767842\pi\) | ||||
−0.745610 | + | 0.666383i | \(0.767842\pi\) | |||||||
\(240\) | 2.20245e8 | + | 3.81476e8i | 1.02841 | + | 1.78126i | ||||
\(241\) | −2.59675e8 | −1.19501 | −0.597504 | − | 0.801866i | \(-0.703841\pi\) | ||||
−0.597504 | + | 0.801866i | \(0.703841\pi\) | |||||||
\(242\) | 9.40510e7 | + | 1.62901e8i | 0.426589 | + | 0.738874i | ||||
\(243\) | −8.76444e7 | − | 1.51805e8i | −0.391834 | − | 0.678676i | ||||
\(244\) | −1.03236e8 | − | 1.78810e8i | −0.454952 | − | 0.788000i | ||||
\(245\) | −1.61832e8 | + | 2.33464e8i | −0.703046 | + | 1.01424i | ||||
\(246\) | 6.90157e8 | 2.95580 | ||||||||
\(247\) | −1.75387e8 | − | 1.32603e8i | −0.740558 | − | 0.559906i | ||||
\(248\) | 1.63428e6 | + | 2.83065e6i | 0.00680369 | + | 0.0117843i | ||||
\(249\) | −9.31553e7 | + | 1.61350e8i | −0.382393 | + | 0.662324i | ||||
\(250\) | −2.05186e8 | −0.830534 | ||||||||
\(251\) | 1.35065e8 | − | 2.33940e8i | 0.539120 | − | 0.933784i | −0.459831 | − | 0.888006i | \(-0.652090\pi\) |
0.998952 | − | 0.0457776i | \(-0.0145766\pi\) | |||||||
\(252\) | 3.84364e8 | − | 2.01244e8i | 1.51300 | − | 0.792176i | ||||
\(253\) | 2.97784e8 | − | 5.15777e8i | 1.15606 | − | 2.00235i | ||||
\(254\) | −2.92100e7 | − | 5.05931e7i | −0.111844 | − | 0.193720i | ||||
\(255\) | −3.17572e8 | − | 5.50051e8i | −1.19937 | − | 2.07736i | ||||
\(256\) | 2.73617e8 | 1.01930 | ||||||||
\(257\) | 1.11406e8 | 0.409396 | 0.204698 | − | 0.978825i | \(-0.434379\pi\) | ||||
0.204698 | + | 0.978825i | \(0.434379\pi\) | |||||||
\(258\) | 2.35326e8 | + | 4.07596e8i | 0.853101 | + | 1.47761i | ||||
\(259\) | −3.89160e6 | + | 9.42492e7i | −0.0139181 | + | 0.337077i | ||||
\(260\) | 4.27540e7 | − | 3.43668e8i | 0.150859 | − | 1.21264i | ||||
\(261\) | −1.21557e8 | + | 2.10543e8i | −0.423193 | + | 0.732991i | ||||
\(262\) | −1.22404e8 | + | 2.12010e8i | −0.420475 | + | 0.728285i | ||||
\(263\) | 4.48394e7 | − | 7.76640e7i | 0.151990 | − | 0.263254i | −0.779969 | − | 0.625818i | \(-0.784765\pi\) |
0.931959 | + | 0.362564i | \(0.118099\pi\) | |||||||
\(264\) | −4.31952e6 | − | 7.48162e6i | −0.0144485 | − | 0.0250255i | ||||
\(265\) | 4.27303e8 | 1.41051 | ||||||||
\(266\) | −3.56173e8 | + | 1.86484e8i | −1.16031 | + | 0.607514i | ||||
\(267\) | −3.82213e8 | + | 6.62013e8i | −1.22890 | + | 2.12852i | ||||
\(268\) | −7.16394e7 | + | 1.24083e8i | −0.227342 | + | 0.393768i | ||||
\(269\) | 4.58480e8 | 1.43611 | 0.718055 | − | 0.695986i | \(-0.245033\pi\) | ||||
0.718055 | + | 0.695986i | \(0.245033\pi\) | |||||||
\(270\) | 3.36804e8 | − | 5.83362e8i | 1.04137 | − | 1.80370i | ||||
\(271\) | −4.95004e8 | −1.51083 | −0.755416 | − | 0.655246i | \(-0.772565\pi\) | ||||
−0.755416 | + | 0.655246i | \(0.772565\pi\) | |||||||
\(272\) | −3.94603e8 | −1.18896 | ||||||||
\(273\) | 5.47382e8 | + | 9.11670e7i | 1.62825 | + | 0.271187i | ||||
\(274\) | 4.39091e8 | 1.28952 | ||||||||
\(275\) | −2.28470e8 | −0.662467 | ||||||||
\(276\) | 5.21006e8 | − | 9.02408e8i | 1.49163 | − | 2.58358i | ||||
\(277\) | −6.47705e8 | −1.83104 | −0.915520 | − | 0.402272i | \(-0.868221\pi\) | ||||
−0.915520 | + | 0.402272i | \(0.868221\pi\) | |||||||
\(278\) | −1.41630e8 | + | 2.45310e8i | −0.395364 | + | 0.684791i | ||||
\(279\) | 3.08035e8 | − | 5.33532e8i | 0.849151 | − | 1.47077i | ||||
\(280\) | 5.29127e6 | + | 3.35334e6i | 0.0144048 | + | 0.00912902i | ||||
\(281\) | −5.00662e8 | −1.34608 | −0.673042 | − | 0.739604i | \(-0.735013\pi\) | ||||
−0.673042 | + | 0.739604i | \(0.735013\pi\) | |||||||
\(282\) | −3.35715e8 | − | 5.81475e8i | −0.891453 | − | 1.54404i | ||||
\(283\) | −6.12867e7 | + | 1.06152e8i | −0.160736 | + | 0.278403i | −0.935133 | − | 0.354297i | \(-0.884720\pi\) |
0.774397 | + | 0.632700i | \(0.218054\pi\) | |||||||
\(284\) | −1.51405e8 | + | 2.62242e8i | −0.392218 | + | 0.679341i | ||||
\(285\) | −3.69543e8 | + | 6.40068e8i | −0.945602 | + | 1.63783i | ||||
\(286\) | −8.72850e7 | + | 7.01619e8i | −0.220627 | + | 1.77346i | ||||
\(287\) | 4.50343e8 | − | 2.35790e8i | 1.12449 | − | 0.588760i | ||||
\(288\) | −4.93144e8 | − | 8.54151e8i | −1.21647 | − | 2.10698i | ||||
\(289\) | 1.58640e8 | 0.386607 | ||||||||
\(290\) | 3.54837e8 | 0.854351 | ||||||||
\(291\) | 3.43129e8 | + | 5.94317e8i | 0.816266 | + | 1.41381i | ||||
\(292\) | 3.99066e8 | + | 6.91203e8i | 0.938005 | + | 1.62467i | ||||
\(293\) | −4.72477e7 | + | 8.18354e7i | −0.109735 | + | 0.190066i | −0.915663 | − | 0.401947i | \(-0.868333\pi\) |
0.805928 | + | 0.592013i | \(0.201667\pi\) | |||||||
\(294\) | 5.78054e8 | − | 8.33918e8i | 1.32664 | − | 1.91385i | ||||
\(295\) | −1.93225e8 | + | 3.34675e8i | −0.438213 | + | 0.759007i | ||||
\(296\) | 2.08019e6 | 0.00466209 | ||||||||
\(297\) | −3.42111e8 | + | 5.92554e8i | −0.757739 | + | 1.31244i | ||||
\(298\) | −6.20280e8 | − | 1.07436e9i | −1.35778 | − | 2.35175i | ||||
\(299\) | 7.77092e8 | − | 3.28393e8i | 1.68121 | − | 0.710468i | ||||
\(300\) | −3.99733e8 | −0.854762 | ||||||||
\(301\) | 2.92809e8 | + | 1.85567e8i | 0.618873 | + | 0.392210i | ||||
\(302\) | −1.63431e8 | − | 2.83071e8i | −0.341437 | − | 0.591387i | ||||
\(303\) | −1.66589e7 | − | 2.88541e7i | −0.0344031 | − | 0.0595879i | ||||
\(304\) | 2.29590e8 | + | 3.97662e8i | 0.468701 | + | 0.811814i | ||||
\(305\) | −5.61905e8 | −1.13400 | ||||||||
\(306\) | 7.18032e8 | + | 1.24367e9i | 1.43258 | + | 2.48130i | ||||
\(307\) | −5.99765e8 | −1.18303 | −0.591516 | − | 0.806293i | \(-0.701470\pi\) | ||||
−0.591516 | + | 0.806293i | \(0.701470\pi\) | |||||||
\(308\) | 5.43302e8 | + | 3.44317e8i | 1.05953 | + | 0.671476i | ||||
\(309\) | −3.26520e8 | − | 5.65550e8i | −0.629587 | − | 1.09048i | ||||
\(310\) | −8.99185e8 | −1.71429 | ||||||||
\(311\) | 3.48452e8 | + | 6.03537e8i | 0.656874 | + | 1.13774i | 0.981420 | + | 0.191870i | \(0.0614550\pi\) |
−0.324546 | + | 0.945870i | \(0.605212\pi\) | |||||||
\(312\) | 1.51074e6 | − | 1.21437e7i | 0.00281610 | − | 0.0226365i | ||||
\(313\) | 4.41726e7 | − | 7.65091e7i | 0.0814231 | − | 0.141029i | −0.822438 | − | 0.568854i | \(-0.807387\pi\) |
0.903861 | + | 0.427825i | \(0.140720\pi\) | |||||||
\(314\) | 2.38552e8 | + | 4.13184e8i | 0.434840 | + | 0.753165i | ||||
\(315\) | 4.87117e7 | − | 1.17973e9i | 0.0878105 | − | 2.12665i | ||||
\(316\) | −5.08576e8 | + | 8.80880e8i | −0.906674 | + | 1.57041i | ||||
\(317\) | −3.77512e8 | + | 6.53870e8i | −0.665615 | + | 1.15288i | 0.313503 | + | 0.949587i | \(0.398497\pi\) |
−0.979118 | + | 0.203292i | \(0.934836\pi\) | |||||||
\(318\) | −1.52630e9 | −2.66161 | ||||||||
\(319\) | −3.60428e8 | −0.621658 | ||||||||
\(320\) | −3.54570e8 | + | 6.14134e8i | −0.604892 | + | 1.04770i | ||||
\(321\) | −4.82900e8 | + | 8.36407e8i | −0.814872 | + | 1.41140i | ||||
\(322\) | 6.36398e7 | − | 1.54127e9i | 0.106227 | − | 2.57266i | ||||
\(323\) | −3.31047e8 | − | 5.73390e8i | −0.546614 | − | 0.946763i | ||||
\(324\) | −7.57726e7 | + | 1.31242e8i | −0.123767 | + | 0.214371i | ||||
\(325\) | −2.58152e8 | − | 1.95178e8i | −0.417141 | − | 0.315384i | ||||
\(326\) | −4.30794e7 | − | 7.46158e7i | −0.0688665 | − | 0.119280i | ||||
\(327\) | −4.99978e8 | −0.790740 | ||||||||
\(328\) | −5.60499e6 | − | 9.70813e6i | −0.00877035 | − | 0.0151907i | ||||
\(329\) | −4.17720e8 | − | 2.64729e8i | −0.646695 | − | 0.409842i | ||||
\(330\) | 2.37662e9 | 3.64049 | ||||||||
\(331\) | 1.72551e8 | + | 2.98868e8i | 0.261529 | + | 0.452982i | 0.966648 | − | 0.256107i | \(-0.0824399\pi\) |
−0.705119 | + | 0.709089i | \(0.749107\pi\) | |||||||
\(332\) | −3.05904e8 | −0.458778 | ||||||||
\(333\) | −1.96041e8 | − | 3.39553e8i | −0.290932 | − | 0.503909i | ||||
\(334\) | −7.27316e8 | − | 1.25975e9i | −1.06810 | − | 1.85000i | ||||
\(335\) | 1.94964e8 | + | 3.37688e8i | 0.283333 | + | 0.490748i | ||||
\(336\) | −9.78868e8 | − | 6.20357e8i | −1.40779 | − | 0.892183i | ||||
\(337\) | 8.15446e8 | 1.16062 | 0.580311 | − | 0.814395i | \(-0.302931\pi\) | ||||
0.580311 | + | 0.814395i | \(0.302931\pi\) | |||||||
\(338\) | −6.98007e8 | + | 7.18205e8i | −0.983221 | + | 1.01167i | ||||
\(339\) | −1.28339e8 | − | 2.22290e8i | −0.178920 | − | 0.309899i | ||||
\(340\) | 5.21423e8 | − | 9.03131e8i | 0.719472 | − | 1.24616i | ||||
\(341\) | 9.13353e8 | 1.24738 | ||||||||
\(342\) | 8.35540e8 | − | 1.44720e9i | 1.12947 | − | 1.95630i | ||||
\(343\) | 9.22879e7 | − | 7.41639e8i | 0.123485 | − | 0.992346i | ||||
\(344\) | 3.82231e6 | − | 6.62044e6i | 0.00506258 | − | 0.00876864i | ||||
\(345\) | −1.41790e9 | − | 2.45587e9i | −1.85899 | − | 3.21987i | ||||
\(346\) | −9.96441e7 | − | 1.72589e8i | −0.129326 | − | 0.223999i | ||||
\(347\) | 1.88432e8 | 0.242104 | 0.121052 | − | 0.992646i | \(-0.461373\pi\) | ||||
0.121052 | + | 0.992646i | \(0.461373\pi\) | |||||||
\(348\) | −6.30608e8 | −0.802107 | ||||||||
\(349\) | −2.03516e8 | − | 3.52499e8i | −0.256277 | − | 0.443884i | 0.708965 | − | 0.705244i | \(-0.249162\pi\) |
−0.965241 | + | 0.261360i | \(0.915829\pi\) | |||||||
\(350\) | −5.24249e8 | + | 2.74485e8i | −0.653581 | + | 0.342200i | ||||
\(351\) | −8.92766e8 | + | 3.77276e8i | −1.10195 | + | 0.465677i | ||||
\(352\) | 7.31110e8 | − | 1.26632e9i | 0.893478 | − | 1.54755i | ||||
\(353\) | −1.77906e8 | + | 3.08143e8i | −0.215268 | + | 0.372855i | −0.953355 | − | 0.301850i | \(-0.902396\pi\) |
0.738087 | + | 0.674705i | \(0.235729\pi\) | |||||||
\(354\) | 6.90185e8 | − | 1.19544e9i | 0.826902 | − | 1.43224i | ||||
\(355\) | 4.12045e8 | + | 7.13682e8i | 0.488815 | + | 0.846653i | ||||
\(356\) | −1.25512e9 | −1.47438 | ||||||||
\(357\) | 1.41143e9 | + | 8.94493e8i | 1.64180 | + | 1.04049i | ||||
\(358\) | 1.99489e8 | − | 3.45526e8i | 0.229789 | − | 0.398006i | ||||
\(359\) | 6.06338e8 | − | 1.05021e9i | 0.691646 | − | 1.19797i | −0.279652 | − | 0.960101i | \(-0.590219\pi\) |
0.971298 | − | 0.237865i | \(-0.0764475\pi\) | |||||||
\(360\) | −2.60380e7 | −0.0294136 | ||||||||
\(361\) | 6.17124e7 | − | 1.06889e8i | 0.0690395 | − | 0.119580i | ||||
\(362\) | 3.21240e8 | 0.355917 | ||||||||
\(363\) | −9.09759e8 | −0.998282 | ||||||||
\(364\) | 3.19741e8 | + | 8.53183e8i | 0.347491 | + | 0.927230i | ||||
\(365\) | 2.17209e9 | 2.33804 | ||||||||
\(366\) | 2.00709e9 | 2.13984 | ||||||||
\(367\) | 3.35630e8 | − | 5.81328e8i | 0.354429 | − | 0.613889i | −0.632591 | − | 0.774486i | \(-0.718009\pi\) |
0.987020 | + | 0.160597i | \(0.0513420\pi\) | |||||||
\(368\) | −1.76183e9 | −1.84287 | ||||||||
\(369\) | −1.05645e9 | + | 1.82983e9i | −1.09460 | + | 1.89591i | ||||
\(370\) | −2.86132e8 | + | 4.95594e8i | −0.293670 | + | 0.508652i | ||||
\(371\) | −9.95942e8 | + | 5.21453e8i | −1.01257 | + | 0.530160i | ||||
\(372\) | 1.59801e9 | 1.60946 | ||||||||
\(373\) | 4.36831e8 | + | 7.56614e8i | 0.435846 | + | 0.754907i | 0.997364 | − | 0.0725570i | \(-0.0231159\pi\) |
−0.561518 | + | 0.827464i | \(0.689783\pi\) | |||||||
\(374\) | −1.06452e9 | + | 1.84380e9i | −1.05221 | + | 1.82248i | ||||
\(375\) | 4.96193e8 | − | 8.59431e8i | 0.485894 | − | 0.841592i | ||||
\(376\) | −5.45290e6 | + | 9.44469e6i | −0.00529017 | + | 0.00916285i | ||||
\(377\) | −4.07254e8 | − | 3.07908e8i | −0.391445 | − | 0.295956i | ||||
\(378\) | −7.31130e7 | + | 1.77069e9i | −0.0696263 | + | 1.68625i | ||||
\(379\) | 1.49474e8 | + | 2.58896e8i | 0.141035 | + | 0.244280i | 0.927887 | − | 0.372862i | \(-0.121624\pi\) |
−0.786851 | + | 0.617142i | \(0.788290\pi\) | |||||||
\(380\) | −1.21351e9 | −1.13449 | ||||||||
\(381\) | 2.82549e8 | 0.261732 | ||||||||
\(382\) | −1.48909e8 | − | 2.57918e8i | −0.136678 | − | 0.236734i | ||||
\(383\) | 7.28454e8 | + | 1.26172e9i | 0.662531 | + | 1.14754i | 0.979948 | + | 0.199252i | \(0.0638512\pi\) |
−0.317417 | + | 0.948286i | \(0.602815\pi\) | |||||||
\(384\) | −2.53095e7 | + | 4.38373e7i | −0.0228099 | + | 0.0395080i | ||||
\(385\) | 1.55079e9 | − | 8.11961e8i | 1.38497 | − | 0.725142i | ||||
\(386\) | −3.30120e8 | + | 5.71784e8i | −0.292157 | + | 0.506030i | ||||
\(387\) | −1.44089e9 | −1.26370 | ||||||||
\(388\) | −5.63385e8 | + | 9.75811e8i | −0.489660 | + | 0.848115i | ||||
\(389\) | 1.10500e9 | + | 1.91392e9i | 0.951788 | + | 1.64855i | 0.741552 | + | 0.670895i | \(0.234090\pi\) |
0.210236 | + | 0.977651i | \(0.432577\pi\) | |||||||
\(390\) | 2.68538e9 | + | 2.03030e9i | 2.29234 | + | 1.73315i | ||||
\(391\) | 2.54038e9 | 2.14922 | ||||||||
\(392\) | −1.64249e7 | − | 1.35870e6i | −0.0137721 | − | 0.00113926i | ||||
\(393\) | −5.92009e8 | − | 1.02539e9i | −0.491987 | − | 0.852147i | ||||
\(394\) | 1.35479e8 | + | 2.34656e8i | 0.111592 | + | 0.193283i | ||||
\(395\) | 1.38407e9 | + | 2.39728e9i | 1.12998 | + | 1.95717i | ||||
\(396\) | −2.67355e9 | −2.16349 | ||||||||
\(397\) | −3.75836e8 | − | 6.50967e8i | −0.301461 | − | 0.522146i | 0.675006 | − | 0.737812i | \(-0.264141\pi\) |
−0.976467 | + | 0.215666i | \(0.930808\pi\) | |||||||
\(398\) | −2.35209e9 | −1.87009 | ||||||||
\(399\) | 8.02199e7 | − | 1.94281e9i | 0.0632233 | − | 1.53118i | ||||
\(400\) | 3.37933e8 | + | 5.85316e8i | 0.264010 | + | 0.457278i | ||||
\(401\) | 3.50693e8 | 0.271595 | 0.135798 | − | 0.990737i | \(-0.456640\pi\) | ||||
0.135798 | + | 0.990737i | \(0.456640\pi\) | |||||||
\(402\) | −6.96398e8 | − | 1.20620e9i | −0.534646 | − | 0.926035i | ||||
\(403\) | 1.03201e9 | + | 7.80263e8i | 0.785448 | + | 0.593845i | ||||
\(404\) | 2.73524e7 | − | 4.73757e7i | 0.0206376 | − | 0.0357454i | ||||
\(405\) | 2.06212e8 | + | 3.57170e8i | 0.154249 | + | 0.267167i | ||||
\(406\) | −8.27042e8 | + | 4.33021e8i | −0.613319 | + | 0.321120i | ||||
\(407\) | 2.90640e8 | − | 5.03403e8i | 0.213685 | − | 0.370114i | ||||
\(408\) | 1.84248e7 | − | 3.19126e7i | 0.0134305 | − | 0.0232623i | ||||
\(409\) | −4.59744e8 | −0.332265 | −0.166132 | − | 0.986103i | \(-0.553128\pi\) | ||||
−0.166132 | + | 0.986103i | \(0.553128\pi\) | |||||||
\(410\) | 3.08389e9 | 2.20981 | ||||||||
\(411\) | −1.06184e9 | + | 1.83915e9i | −0.754416 | + | 1.30669i | ||||
\(412\) | 5.36116e8 | − | 9.28580e8i | 0.377675 | − | 0.654152i | ||||
\(413\) | 4.19449e7 | − | 1.01585e9i | 0.0292991 | − | 0.709583i | ||||
\(414\) | 3.20587e9 | + | 5.55274e9i | 2.22047 | + | 3.84597i | ||||
\(415\) | −4.16254e8 | + | 7.20973e8i | −0.285884 | + | 0.495166i | ||||
\(416\) | 1.90789e9 | − | 8.06260e8i | 1.29935 | − | 0.549096i | ||||
\(417\) | −6.84995e8 | − | 1.18645e9i | −0.462606 | − | 0.801257i | ||||
\(418\) | 2.47746e9 | 1.65916 | ||||||||
\(419\) | 2.42823e7 | + | 4.20582e7i | 0.0161265 | + | 0.0279319i | 0.873976 | − | 0.485969i | \(-0.161533\pi\) |
−0.857850 | + | 0.513901i | \(0.828200\pi\) | |||||||
\(420\) | 2.71328e9 | − | 1.42061e9i | 1.78699 | − | 0.935629i | ||||
\(421\) | −1.36380e9 | −0.890768 | −0.445384 | − | 0.895340i | \(-0.646933\pi\) | ||||
−0.445384 | + | 0.895340i | \(0.646933\pi\) | |||||||
\(422\) | −7.34958e6 | − | 1.27298e7i | −0.00476068 | − | 0.00824574i | ||||
\(423\) | 2.05557e9 | 1.32051 | ||||||||
\(424\) | 1.23956e7 | + | 2.14697e7i | 0.00789742 | + | 0.0136787i | ||||
\(425\) | −4.87266e8 | − | 8.43969e8i | −0.307896 | − | 0.533292i | ||||
\(426\) | −1.47179e9 | − | 2.54922e9i | −0.922388 | − | 1.59762i | ||||
\(427\) | 1.30967e9 | − | 6.85713e8i | 0.814073 | − | 0.426231i | ||||
\(428\) | −1.58575e9 | −0.977646 | ||||||||
\(429\) | −2.72769e9 | − | 2.06229e9i | −1.66799 | − | 1.26110i | ||||
\(430\) | 1.05153e9 | + | 1.82130e9i | 0.637794 | + | 1.10469i | ||||
\(431\) | 5.70351e8 | − | 9.87876e8i | 0.343140 | − | 0.594336i | −0.641874 | − | 0.766810i | \(-0.721843\pi\) |
0.985014 | + | 0.172474i | \(0.0551761\pi\) | |||||||
\(432\) | 2.02408e9 | 1.20791 | ||||||||
\(433\) | −1.29346e9 | + | 2.24034e9i | −0.765678 | + | 1.32619i | 0.174210 | + | 0.984709i | \(0.444263\pi\) |
−0.939888 | + | 0.341484i | \(0.889070\pi\) | |||||||
\(434\) | 2.09579e9 | − | 1.09731e9i | 1.23065 | − | 0.644339i | ||||
\(435\) | −8.58089e8 | + | 1.48625e9i | −0.499827 | + | 0.865726i | ||||
\(436\) | −4.10458e8 | − | 7.10934e8i | −0.237173 | − | 0.410796i | ||||
\(437\) | −1.47806e9 | − | 2.56008e9i | −0.847241 | − | 1.46746i | ||||
\(438\) | −7.75856e9 | −4.41186 | ||||||||
\(439\) | −1.24983e9 | −0.705056 | −0.352528 | − | 0.935801i | \(-0.614678\pi\) | ||||
−0.352528 | + | 0.935801i | \(0.614678\pi\) | |||||||
\(440\) | −1.93013e7 | − | 3.34308e7i | −0.0108019 | − | 0.0187095i | ||||
\(441\) | 1.32613e9 | + | 2.80912e9i | 0.736295 | + | 1.55968i | ||||
\(442\) | −2.77794e9 | + | 1.17394e9i | −1.53019 | + | 0.646646i | ||||
\(443\) | −9.50197e8 | + | 1.64579e9i | −0.519279 | + | 0.899418i | 0.480470 | + | 0.877011i | \(0.340466\pi\) |
−0.999749 | + | 0.0224065i | \(0.992867\pi\) | |||||||
\(444\) | 5.08506e8 | − | 8.80758e8i | 0.275712 | − | 0.477547i | ||||
\(445\) | −1.70788e9 | + | 2.95813e9i | −0.918748 | + | 1.59132i | ||||
\(446\) | 8.19956e8 | + | 1.42021e9i | 0.437642 | + | 0.758017i | ||||
\(447\) | 5.99999e9 | 3.17742 | ||||||||
\(448\) | 7.69696e7 | − | 1.86410e9i | 0.0404432 | − | 0.979479i | ||||
\(449\) | 1.38296e8 | − | 2.39537e8i | 0.0721023 | − | 0.124885i | −0.827720 | − | 0.561141i | \(-0.810363\pi\) |
0.899822 | + | 0.436256i | \(0.143696\pi\) | |||||||
\(450\) | 1.22983e9 | − | 2.13012e9i | 0.636209 | − | 1.10195i | ||||
\(451\) | −3.13248e9 | −1.60794 | ||||||||
\(452\) | 2.10720e8 | − | 3.64978e8i | 0.107330 | − | 0.185901i | ||||
\(453\) | 1.58088e9 | 0.799015 | ||||||||
\(454\) | −3.64032e9 | −1.82576 | ||||||||
\(455\) | 2.44591e9 | + | 4.07369e8i | 1.21731 | + | 0.202744i | ||||
\(456\) | −4.28801e7 | −0.0211777 | ||||||||
\(457\) | 5.26391e8 | 0.257989 | 0.128995 | − | 0.991645i | \(-0.458825\pi\) | ||||
0.128995 | + | 0.991645i | \(0.458825\pi\) | |||||||
\(458\) | −1.15288e9 | + | 1.99685e9i | −0.560731 | + | 0.971215i | ||||
\(459\) | −2.91853e9 | −1.40870 | ||||||||
\(460\) | 2.32805e9 | − | 4.03231e9i | 1.11517 | − | 1.93153i | ||||
\(461\) | −3.98922e8 | + | 6.90954e8i | −0.189642 | + | 0.328470i | −0.945131 | − | 0.326692i | \(-0.894066\pi\) |
0.755489 | + | 0.655162i | \(0.227399\pi\) | |||||||
\(462\) | −5.53933e9 | + | 2.90027e9i | −2.61343 | + | 1.36833i | ||||
\(463\) | 3.16121e9 | 1.48020 | 0.740099 | − | 0.672498i | \(-0.234779\pi\) | ||||
0.740099 | + | 0.672498i | \(0.234779\pi\) | |||||||
\(464\) | 5.33114e8 | + | 9.23381e8i | 0.247746 | + | 0.429109i | ||||
\(465\) | 2.17446e9 | − | 3.76628e9i | 1.00292 | − | 1.73711i | ||||
\(466\) | −1.28692e9 | + | 2.22902e9i | −0.589118 | + | 1.02038i | ||||
\(467\) | 7.35412e8 | − | 1.27377e9i | 0.334135 | − | 0.578739i | −0.649183 | − | 0.760632i | \(-0.724889\pi\) |
0.983318 | + | 0.181893i | \(0.0582226\pi\) | |||||||
\(468\) | −3.02088e9 | − | 2.28397e9i | −1.36230 | − | 1.02998i | ||||
\(469\) | −8.66508e8 | − | 5.49148e8i | −0.387853 | − | 0.245802i | ||||
\(470\) | −1.50010e9 | − | 2.59825e9i | −0.666467 | − | 1.15435i | ||||
\(471\) | −2.30752e9 | −1.01759 | ||||||||
\(472\) | −2.24209e7 | −0.00981421 | ||||||||
\(473\) | −1.06809e9 | − | 1.84999e9i | −0.464083 | − | 0.803815i | ||||
\(474\) | −4.94381e9 | − | 8.56293e9i | −2.13225 | − | 3.69316i | ||||
\(475\) | −5.67008e8 | + | 9.82087e8i | −0.242751 | + | 0.420458i | ||||
\(476\) | −1.13190e8 | + | 2.74130e9i | −0.0481041 | + | 1.16502i | ||||
\(477\) | 2.33636e9 | − | 4.04670e9i | 0.985657 | − | 1.70721i | ||||
\(478\) | 5.02329e9 | 2.10373 | ||||||||
\(479\) | 9.88354e8 | − | 1.71188e9i | 0.410902 | − | 0.711703i | −0.584087 | − | 0.811691i | \(-0.698547\pi\) |
0.994989 | + | 0.0999883i | \(0.0318806\pi\) | |||||||
\(480\) | −3.48118e9 | − | 6.02958e9i | −1.43675 | − | 2.48853i | ||||
\(481\) | 7.58448e8 | − | 3.20514e8i | 0.310755 | − | 0.131323i | ||||
\(482\) | 4.14461e9 | 1.68585 | ||||||||
\(483\) | 6.30177e9 | + | 3.99374e9i | 2.54477 | + | 1.61274i | ||||
\(484\) | −7.46869e8 | − | 1.29361e9i | −0.299423 | − | 0.518616i | ||||
\(485\) | 1.53323e9 | + | 2.65564e9i | 0.610256 | + | 1.05699i | ||||
\(486\) | 1.39887e9 | + | 2.42292e9i | 0.552778 | + | 0.957440i | ||||
\(487\) | 3.53270e9 | 1.38598 | 0.692988 | − | 0.720949i | \(-0.256294\pi\) | ||||
0.692988 | + | 0.720949i | \(0.256294\pi\) | |||||||
\(488\) | −1.63002e7 | − | 2.82328e7i | −0.00634926 | − | 0.0109972i | ||||
\(489\) | 4.16709e8 | 0.161158 | ||||||||
\(490\) | 2.58297e9 | − | 3.72627e9i | 0.991819 | − | 1.43083i | ||||
\(491\) | −4.64669e8 | − | 8.04831e8i | −0.177157 | − | 0.306845i | 0.763749 | − | 0.645514i | \(-0.223357\pi\) |
−0.940906 | + | 0.338669i | \(0.890023\pi\) | |||||||
\(492\) | −5.48061e9 | −2.07468 | ||||||||
\(493\) | −7.68698e8 | − | 1.33142e9i | −0.288929 | − | 0.500440i | ||||
\(494\) | 2.79932e9 | + | 2.11645e9i | 1.04474 | + | 0.789885i | ||||
\(495\) | −3.63798e9 | + | 6.30116e9i | −1.34816 | + | 2.33508i | ||||
\(496\) | −1.35095e9 | − | 2.33992e9i | −0.497112 | − | 0.861023i | ||||
\(497\) | −1.83131e9 | − | 1.16059e9i | −0.669136 | − | 0.424064i | ||||
\(498\) | 1.48683e9 | − | 2.57527e9i | 0.539460 | − | 0.934371i | ||||
\(499\) | −1.64050e9 | + | 2.84143e9i | −0.591051 | + | 1.02373i | 0.403041 | + | 0.915182i | \(0.367953\pi\) |
−0.994091 | + | 0.108548i | \(0.965380\pi\) | |||||||
\(500\) | 1.62940e9 | 0.582953 | ||||||||
\(501\) | 7.03536e9 | 2.49951 | ||||||||
\(502\) | −2.15575e9 | + | 3.73386e9i | −0.760562 | + | 1.31733i | ||||
\(503\) | 3.14180e8 | − | 5.44176e8i | 0.110076 | − | 0.190656i | −0.805725 | − | 0.592290i | \(-0.798224\pi\) |
0.915801 | + | 0.401633i | \(0.131557\pi\) | |||||||
\(504\) | 6.06883e7 | − | 3.17751e7i | 0.0211153 | − | 0.0110555i | ||||
\(505\) | −7.44385e7 | − | 1.28931e8i | −0.0257204 | − | 0.0445490i | ||||
\(506\) | −4.75287e9 | + | 8.23220e9i | −1.63091 | + | 2.82481i | ||||
\(507\) | −1.32027e9 | − | 4.66044e9i | −0.449921 | − | 1.58818i | ||||
\(508\) | 2.31959e8 | + | 4.01766e8i | 0.0785035 | + | 0.135972i | ||||
\(509\) | −2.60015e9 | −0.873950 | −0.436975 | − | 0.899474i | \(-0.643950\pi\) | ||||
−0.436975 | + | 0.899474i | \(0.643950\pi\) | |||||||
\(510\) | 5.06869e9 | + | 8.77923e9i | 1.69200 | + | 2.93063i | ||||
\(511\) | −5.06263e9 | + | 2.65068e9i | −1.67843 | + | 0.878788i | ||||
\(512\) | −4.28320e9 | −1.41034 | ||||||||
\(513\) | 1.69808e9 | + | 2.94116e9i | 0.555325 | + | 0.961851i | ||||
\(514\) | −1.77813e9 | −0.577554 | ||||||||
\(515\) | −1.45902e9 | − | 2.52710e9i | −0.470691 | − | 0.815261i | ||||
\(516\) | −1.86875e9 | − | 3.23676e9i | −0.598793 | − | 1.03714i | ||||
\(517\) | 1.52374e9 | + | 2.63919e9i | 0.484946 | + | 0.839952i | ||||
\(518\) | 6.21130e7 | − | 1.50429e9i | 0.0196349 | − | 0.475529i | ||||
\(519\) | 9.63861e8 | 0.302642 | ||||||||
\(520\) | 6.75056e6 | − | 5.42627e7i | 0.00210537 | − | 0.0169235i | ||||
\(521\) | −2.29143e9 | − | 3.96887e9i | −0.709863 | − | 1.22952i | −0.964908 | − | 0.262589i | \(-0.915424\pi\) |
0.255045 | − | 0.966929i | \(-0.417910\pi\) | |||||||
\(522\) | 1.94014e9 | − | 3.36043e9i | 0.597017 | − | 1.03406i | ||||
\(523\) | −1.71128e8 | −0.0523076 | −0.0261538 | − | 0.999658i | \(-0.508326\pi\) | ||||
−0.0261538 | + | 0.999658i | \(0.508326\pi\) | |||||||
\(524\) | 9.72022e8 | − | 1.68359e9i | 0.295132 | − | 0.511184i | ||||
\(525\) | 1.18075e8 | − | 2.85962e9i | 0.0356124 | − | 0.862483i | ||||
\(526\) | −7.15671e8 | + | 1.23958e9i | −0.214419 | + | 0.371384i | ||||
\(527\) | 1.94794e9 | + | 3.37393e9i | 0.579747 | + | 1.00415i | ||||
\(528\) | 3.57067e9 | + | 6.18458e9i | 1.05568 | + | 1.82849i | ||||
\(529\) | 7.93749e9 | 2.33125 | ||||||||
\(530\) | −6.82008e9 | −1.98987 | ||||||||
\(531\) | 2.11299e9 | + | 3.65980e9i | 0.612443 | + | 1.06078i | ||||
\(532\) | 2.82841e9 | − | 1.48089e9i | 0.814425 | − | 0.426415i | ||||
\(533\) | −3.53944e9 | − | 2.67603e9i | −1.01249 | − | 0.765501i | ||||
\(534\) | 6.10042e9 | − | 1.05662e10i | 1.73367 | − | 3.00280i | ||||
\(535\) | −2.15778e9 | + | 3.73739e9i | −0.609213 | + | 1.05519i | ||||
\(536\) | −1.13114e7 | + | 1.95918e7i | −0.00317277 | + | 0.00549539i | ||||
\(537\) | 9.64834e8 | + | 1.67114e9i | 0.268870 | + | 0.465697i | ||||
\(538\) | −7.31770e9 | −2.02599 | ||||||||
\(539\) | −2.62367e9 | + | 3.78498e9i | −0.721685 | + | 1.04112i | ||||
\(540\) | −2.67460e9 | + | 4.63254e9i | −0.730938 | + | 1.26602i | ||||
\(541\) | −4.37282e8 | + | 7.57394e8i | −0.118733 | + | 0.205651i | −0.919266 | − | 0.393637i | \(-0.871217\pi\) |
0.800533 | + | 0.599289i | \(0.204550\pi\) | |||||||
\(542\) | 7.90064e9 | 2.13140 | ||||||||
\(543\) | −7.76841e8 | + | 1.34553e9i | −0.208225 | + | 0.360656i | ||||
\(544\) | 6.23706e9 | 1.66105 | ||||||||
\(545\) | −2.23409e9 | −0.591172 | ||||||||
\(546\) | −8.73663e9 | − | 1.45510e9i | −2.29705 | − | 0.382576i | ||||
\(547\) | −2.11108e9 | −0.551505 | −0.275752 | − | 0.961229i | \(-0.588927\pi\) | ||||
−0.275752 | + | 0.961229i | \(0.588927\pi\) | |||||||
\(548\) | −3.48687e9 | −0.905115 | ||||||||
\(549\) | −3.07232e9 | + | 5.32142e9i | −0.792435 | + | 1.37254i | ||||
\(550\) | 3.64655e9 | 0.934573 | ||||||||
\(551\) | −8.94498e8 | + | 1.54932e9i | −0.227797 | + | 0.394557i | ||||
\(552\) | 8.22631e7 | − | 1.42484e8i | 0.0208170 | − | 0.0360561i | ||||
\(553\) | −6.15144e9 | − | 3.89847e9i | −1.54682 | − | 0.980293i | ||||
\(554\) | 1.03379e10 | 2.58313 | ||||||||
\(555\) | −1.38388e9 | − | 2.39695e9i | −0.343616 | − | 0.595160i | ||||
\(556\) | 1.12470e9 | − | 1.94803e9i | 0.277507 | − | 0.480656i | ||||
\(557\) | −2.52361e9 | + | 4.37103e9i | −0.618770 | + | 1.07174i | 0.370940 | + | 0.928657i | \(0.379036\pi\) |
−0.989710 | + | 0.143085i | \(0.954298\pi\) | |||||||
\(558\) | −4.91647e9 | + | 8.51558e9i | −1.19794 | + | 2.07489i | ||||
\(559\) | 3.73563e8 | − | 3.00279e9i | 0.0904529 | − | 0.727083i | ||||
\(560\) | −4.37396e9 | − | 2.77199e9i | −1.05249 | − | 0.667013i | ||||
\(561\) | −5.14856e9 | − | 8.91756e9i | −1.23116 | − | 2.13244i | ||||
\(562\) | 7.99095e9 | 1.89898 | ||||||||
\(563\) | 4.70672e9 | 1.11157 | 0.555787 | − | 0.831325i | \(-0.312417\pi\) | ||||
0.555787 | + | 0.831325i | \(0.312417\pi\) | |||||||
\(564\) | 2.66595e9 | + | 4.61755e9i | 0.625712 | + | 1.08376i | ||||
\(565\) | −5.73468e8 | − | 9.93276e8i | −0.133764 | − | 0.231686i | ||||
\(566\) | 9.78183e8 | − | 1.69426e9i | 0.226758 | − | 0.392756i | ||||
\(567\) | −9.16500e8 | − | 5.80831e8i | −0.211150 | − | 0.133816i | ||||
\(568\) | −2.39059e7 | + | 4.14062e7i | −0.00547375 | + | 0.00948082i | ||||
\(569\) | 5.43300e9 | 1.23637 | 0.618183 | − | 0.786034i | \(-0.287869\pi\) | ||||
0.618183 | + | 0.786034i | \(0.287869\pi\) | |||||||
\(570\) | 5.89820e9 | − | 1.02160e10i | 1.33400 | − | 2.31056i | ||||
\(571\) | 1.62839e9 | + | 2.82045e9i | 0.366042 | + | 0.634004i | 0.988943 | − | 0.148297i | \(-0.0473792\pi\) |
−0.622900 | + | 0.782301i | \(0.714046\pi\) | |||||||
\(572\) | 6.93139e8 | − | 5.57163e9i | 0.154858 | − | 1.24479i | ||||
\(573\) | 1.44040e9 | 0.319847 | ||||||||
\(574\) | −7.18782e9 | + | 3.76338e9i | −1.58637 | + | 0.830590i | ||||
\(575\) | −2.17555e9 | − | 3.76816e9i | −0.477234 | − | 0.826593i | ||||
\(576\) | 3.87737e9 | + | 6.71580e9i | 0.845392 | + | 1.46426i | ||||
\(577\) | 1.12551e9 | + | 1.94943e9i | 0.243912 | + | 0.422467i | 0.961825 | − | 0.273665i | \(-0.0882360\pi\) |
−0.717913 | + | 0.696132i | \(0.754903\pi\) | |||||||
\(578\) | −2.53201e9 | −0.545404 | ||||||||
\(579\) | −1.59663e9 | − | 2.76544e9i | −0.341845 | − | 0.592093i | ||||
\(580\) | −2.81780e9 | −0.599670 | ||||||||
\(581\) | 9.03598e7 | − | 2.18839e9i | 0.0191143 | − | 0.462922i | ||||
\(582\) | −5.47660e9 | − | 9.48575e9i | −1.15154 | − | 1.99453i | ||||
\(583\) | 6.92754e9 | 1.44790 | ||||||||
\(584\) | 6.30098e7 | + | 1.09136e8i | 0.0130907 | + | 0.0226738i | ||||
\(585\) | −9.49359e9 | + | 4.01192e9i | −1.96058 | + | 0.828527i | ||||
\(586\) | 7.54109e8 | − | 1.30616e9i | 0.154808 | − | 0.268135i | ||||
\(587\) | 1.66060e9 | + | 2.87625e9i | 0.338869 | + | 0.586939i | 0.984220 | − | 0.176947i | \(-0.0566222\pi\) |
−0.645351 | + | 0.763886i | \(0.723289\pi\) | |||||||
\(588\) | −4.59039e9 | + | 6.62223e9i | −0.931169 | + | 1.34333i | ||||
\(589\) | 2.26673e9 | − | 3.92609e9i | 0.457084 | − | 0.791692i | ||||
\(590\) | 3.08401e9 | − | 5.34167e9i | 0.618207 | − | 1.07077i | ||||
\(591\) | −1.31049e9 | −0.261142 | ||||||||
\(592\) | −1.71956e9 | −0.340636 | ||||||||
\(593\) | 2.74879e9 | − | 4.76105e9i | 0.541315 | − | 0.937586i | −0.457514 | − | 0.889203i | \(-0.651260\pi\) |
0.998829 | − | 0.0483830i | \(-0.0154068\pi\) | |||||||
\(594\) | 5.46036e9 | − | 9.45762e9i | 1.06898 | − | 1.85152i | ||||
\(595\) | 6.30682e9 | + | 3.99694e9i | 1.22744 | + | 0.777890i | ||||
\(596\) | 4.92571e9 | + | 8.53158e9i | 0.953030 | + | 1.65070i | ||||
\(597\) | 5.68796e9 | − | 9.85183e9i | 1.09407 | − | 1.89499i | ||||
\(598\) | −1.24030e10 | + | 5.24140e9i | −2.37177 | + | 1.00229i | ||||
\(599\) | 9.04427e8 | + | 1.56651e9i | 0.171941 | + | 0.297811i | 0.939098 | − | 0.343648i | \(-0.111663\pi\) |
−0.767157 | + | 0.641459i | \(0.778329\pi\) | |||||||
\(600\) | −6.31149e7 | −0.0119290 | ||||||||
\(601\) | −2.44861e9 | − | 4.24112e9i | −0.460107 | − | 0.796929i | 0.538859 | − | 0.842396i | \(-0.318856\pi\) |
−0.998966 | + | 0.0454674i | \(0.985522\pi\) | |||||||
\(602\) | −4.67345e9 | − | 2.96180e9i | −0.873072 | − | 0.553309i | ||||
\(603\) | 4.26402e9 | 0.791969 | ||||||||
\(604\) | 1.29783e9 | + | 2.24790e9i | 0.239655 | + | 0.415095i | ||||
\(605\) | −4.06515e9 | −0.746334 | ||||||||
\(606\) | 2.65889e8 | + | 4.60534e8i | 0.0485340 | + | 0.0840634i | ||||
\(607\) | −2.63883e9 | − | 4.57059e9i | −0.478907 | − | 0.829491i | 0.520801 | − | 0.853678i | \(-0.325633\pi\) |
−0.999707 | + | 0.0241875i | \(0.992300\pi\) | |||||||
\(608\) | −3.62889e9 | − | 6.28542e9i | −0.654803 | − | 1.13415i | ||||
\(609\) | 1.86273e8 | − | 4.51126e9i | 0.0334186 | − | 0.809352i | ||||
\(610\) | 8.96843e9 | 1.59979 | ||||||||
\(611\) | −5.32923e8 | + | 4.28377e9i | −0.0945193 | + | 0.759770i | ||||
\(612\) | −5.70196e9 | − | 9.87609e9i | −1.00553 | − | 1.74163i | ||||
\(613\) | 1.91005e9 | − | 3.30830e9i | 0.334913 | − | 0.580086i | −0.648555 | − | 0.761168i | \(-0.724626\pi\) |
0.983468 | + | 0.181081i | \(0.0579597\pi\) | |||||||
\(614\) | 9.57270e9 | 1.66896 | ||||||||
\(615\) | −7.45765e9 | + | 1.29170e10i | −1.29282 | + | 2.23923i | ||||
\(616\) | 8.57835e7 | + | 5.43652e7i | 0.0147867 | + | 0.00937105i | ||||
\(617\) | −4.12723e9 | + | 7.14857e9i | −0.707392 | + | 1.22524i | 0.258429 | + | 0.966030i | \(0.416795\pi\) |
−0.965821 | + | 0.259209i | \(0.916538\pi\) | |||||||
\(618\) | 5.21152e9 | + | 9.02661e9i | 0.888187 | + | 1.53839i | ||||
\(619\) | 3.06800e9 | + | 5.31392e9i | 0.519921 | + | 0.900530i | 0.999732 | + | 0.0231577i | \(0.00737200\pi\) |
−0.479811 | + | 0.877372i | \(0.659295\pi\) | |||||||
\(620\) | 7.14053e9 | 1.20326 | ||||||||
\(621\) | −1.30307e10 | −2.18347 | ||||||||
\(622\) | −5.56157e9 | − | 9.63292e9i | −0.926683 | − | 1.60506i | ||||
\(623\) | 3.70743e8 | − | 8.97889e9i | 0.0614278 | − | 1.48770i | ||||
\(624\) | −1.24883e9 | + | 1.00384e10i | −0.205758 | + | 1.65394i | ||||
\(625\) | 3.81309e9 | − | 6.60447e9i | 0.624737 | − | 1.08208i | ||||
\(626\) | −7.05028e8 | + | 1.22114e9i | −0.114867 | + | 0.198956i | ||||
\(627\) | −5.99113e9 | + | 1.03769e10i | −0.970672 | + | 1.68125i | ||||
\(628\) | −1.89437e9 | − | 3.28114e9i | −0.305215 | − | 0.528647i | ||||
\(629\) | 2.47943e9 | 0.397260 | ||||||||
\(630\) | −7.77476e8 | + | 1.88294e10i | −0.123878 | + | 3.00016i | ||||
\(631\) | −4.25202e9 | + | 7.36472e9i | −0.673740 | + | 1.16695i | 0.303095 | + | 0.952960i | \(0.401980\pi\) |
−0.976835 | + | 0.213992i | \(0.931353\pi\) | |||||||
\(632\) | −8.03006e7 | + | 1.39085e8i | −0.0126535 | + | 0.0219164i | ||||
\(633\) | 7.10928e7 | 0.0111407 | ||||||||
\(634\) | 6.02538e9 | − | 1.04363e10i | 0.939014 | − | 1.62642i | ||||
\(635\) | 1.26254e9 | 0.195676 | ||||||||
\(636\) | 1.21205e10 | 1.86819 | ||||||||
\(637\) | −6.19797e9 | + | 2.03535e9i | −0.950083 | + | 0.311998i | ||||
\(638\) | 5.75271e9 | 0.877002 | ||||||||
\(639\) | 9.01174e9 | 1.36633 | ||||||||
\(640\) | −1.13093e8 | + | 1.95882e8i | −0.0170531 | + | 0.0295369i | ||||
\(641\) | −6.67238e9 | −1.00064 | −0.500320 | − | 0.865841i | \(-0.666784\pi\) | ||||
−0.500320 | + | 0.865841i | \(0.666784\pi\) | |||||||
\(642\) | 7.70745e9 | − | 1.33497e10i | 1.14958 | − | 1.99113i | ||||
\(643\) | −9.35767e8 | + | 1.62080e9i | −0.138813 | + | 0.240431i | −0.927047 | − | 0.374944i | \(-0.877662\pi\) |
0.788235 | + | 0.615375i | \(0.210995\pi\) | |||||||
\(644\) | −5.05370e8 | + | 1.22394e10i | −0.0745606 | + | 1.80575i | ||||
\(645\) | −1.01715e10 | −1.49253 | ||||||||
\(646\) | 5.28376e9 | + | 9.15174e9i | 0.771133 | + | 1.33564i | ||||
\(647\) | −3.03661e9 | + | 5.25957e9i | −0.440783 | + | 0.763458i | −0.997748 | − | 0.0670779i | \(-0.978632\pi\) |
0.556965 | + | 0.830536i | \(0.311966\pi\) | |||||||
\(648\) | −1.19640e7 | + | 2.07222e7i | −0.00172728 | + | 0.00299173i | ||||
\(649\) | −3.13261e9 | + | 5.42583e9i | −0.449831 | + | 0.779130i | ||||
\(650\) | 4.12030e9 | + | 3.11519e9i | 0.588481 | + | 0.444926i | ||||
\(651\) | −4.72029e8 | + | 1.14319e10i | −0.0670556 | + | 1.62399i | ||||
\(652\) | 3.42098e8 | + | 5.92532e8i | 0.0483375 | + | 0.0837230i | ||||
\(653\) | −6.77417e8 | −0.0952050 | −0.0476025 | − | 0.998866i | \(-0.515158\pi\) | ||||
−0.0476025 | + | 0.998866i | \(0.515158\pi\) | |||||||
\(654\) | 7.98003e9 | 1.11553 | ||||||||
\(655\) | −2.64532e9 | − | 4.58183e9i | −0.367819 | − | 0.637081i | ||||
\(656\) | 4.63329e9 | + | 8.02510e9i | 0.640806 | + | 1.10991i | ||||
\(657\) | 1.18763e10 | − | 2.05704e10i | 1.63382 | − | 2.82985i | ||||
\(658\) | 6.66713e9 | + | 4.22529e9i | 0.912322 | + | 0.578183i | ||||
\(659\) | 1.69604e9 | − | 2.93763e9i | 0.230854 | − | 0.399850i | −0.727206 | − | 0.686419i | \(-0.759181\pi\) |
0.958060 | + | 0.286569i | \(0.0925148\pi\) | |||||||
\(660\) | −1.88730e10 | −2.55527 | ||||||||
\(661\) | 1.08559e9 | − | 1.88029e9i | 0.146204 | − | 0.253233i | −0.783617 | − | 0.621244i | \(-0.786628\pi\) |
0.929822 | + | 0.368011i | \(0.119961\pi\) | |||||||
\(662\) | −2.75405e9 | − | 4.77016e9i | −0.368951 | − | 0.639042i | ||||
\(663\) | 1.80069e9 | − | 1.44744e10i | 0.239962 | − | 1.92887i | ||||
\(664\) | −4.83002e7 | −0.00640266 | ||||||||
\(665\) | 3.58454e8 | − | 8.68125e9i | 0.0472669 | − | 1.14474i | ||||
\(666\) | 3.12896e9 | + | 5.41952e9i | 0.410431 | + | 0.710888i | ||||
\(667\) | −3.43209e9 | − | 5.94456e9i | −0.447835 | − | 0.775674i | ||||
\(668\) | 5.77570e9 | + | 1.00038e10i | 0.749699 | + | 1.29852i | ||||
\(669\) | −7.93147e9 | −1.02415 | ||||||||
\(670\) | −3.11178e9 | − | 5.38976e9i | −0.399712 | − | 0.692321i | ||||
\(671\) | −9.10974e9 | −1.16407 | ||||||||
\(672\) | 1.54719e10 | + | 9.80531e9i | 1.96676 | + | 1.24643i | ||||
\(673\) | 9.35218e8 | + | 1.61984e9i | 0.118266 | + | 0.204843i | 0.919081 | − | 0.394070i | \(-0.128933\pi\) |
−0.800815 | + | 0.598912i | \(0.795600\pi\) | |||||||
\(674\) | −1.30151e10 | −1.63734 | ||||||||
\(675\) | 2.49939e9 | + | 4.32907e9i | 0.312803 | + | 0.541791i | ||||
\(676\) | 5.54295e9 | − | 5.70334e9i | 0.690124 | − | 0.710094i | ||||
\(677\) | 9.03636e8 | − | 1.56514e9i | 0.111927 | − | 0.193863i | −0.804620 | − | 0.593790i | \(-0.797631\pi\) |
0.916547 | + | 0.399927i | \(0.130965\pi\) | |||||||
\(678\) | 2.04839e9 | + | 3.54791e9i | 0.252411 | + | 0.437189i | ||||
\(679\) | −6.81437e9 | − | 4.31860e9i | −0.835375 | − | 0.529418i | ||||
\(680\) | 8.23290e7 | − | 1.42598e8i | 0.0100409 | − | 0.0173913i | ||||
\(681\) | 8.80323e9 | − | 1.52476e10i | 1.06814 | − | 1.85007i | ||||
\(682\) | −1.45778e10 | −1.75974 | ||||||||
\(683\) | 1.10961e10 | 1.33260 | 0.666298 | − | 0.745686i | \(-0.267878\pi\) | ||||
0.666298 | + | 0.745686i | \(0.267878\pi\) | |||||||
\(684\) | −6.63511e9 | + | 1.14923e10i | −0.792778 | + | 1.37313i | ||||
\(685\) | −4.74469e9 | + | 8.21805e9i | −0.564016 | + | 0.976904i | ||||
\(686\) | −1.47299e9 | + | 1.18371e10i | −0.174207 | + | 1.39995i | ||||
\(687\) | −5.57592e9 | − | 9.65778e9i | −0.656097 | − | 1.13639i | ||||
\(688\) | −3.15966e9 | + | 5.47270e9i | −0.369898 | + | 0.640681i | ||||
\(689\) | 7.82754e9 | + | 5.91809e9i | 0.911713 | + | 0.689309i | ||||
\(690\) | 2.26307e10 | + | 3.91976e10i | 2.62257 | + | 4.54242i | ||||
\(691\) | 5.72174e9 | 0.659713 | 0.329856 | − | 0.944031i | \(-0.393000\pi\) | ||||
0.329856 | + | 0.944031i | \(0.393000\pi\) | |||||||
\(692\) | 7.91284e8 | + | 1.37054e9i | 0.0907739 | + | 0.157225i | ||||
\(693\) | 7.89727e8 | − | 1.91261e10i | 0.0901385 | − | 2.18303i | ||||
\(694\) | −3.00753e9 | −0.341548 | ||||||||
\(695\) | −3.06082e9 | − | 5.30150e9i | −0.345853 | − | 0.599035i | ||||
\(696\) | −9.95686e7 | −0.0111941 | ||||||||
\(697\) | −6.68075e9 | − | 1.15714e10i | −0.747327 | − | 1.29441i | ||||
\(698\) | 3.24827e9 | + | 5.62616e9i | 0.361541 | + | 0.626208i | ||||
\(699\) | −6.22424e9 | − | 1.07807e10i | −0.689312 | − | 1.19392i | ||||
\(700\) | 4.16311e9 | − | 2.17972e9i | 0.458749 | − | 0.240191i | ||||
\(701\) | 1.16156e9 | 0.127359 | 0.0636794 | − | 0.997970i | \(-0.479716\pi\) | ||||
0.0636794 | + | 0.997970i | \(0.479716\pi\) | |||||||
\(702\) | 1.42492e10 | − | 6.02162e9i | 1.55458 | − | 0.656952i | ||||
\(703\) | −1.44260e9 | − | 2.49866e9i | −0.156604 | − | 0.271246i | ||||
\(704\) | −5.74839e9 | + | 9.95650e9i | −0.620928 | + | 1.07548i | ||||
\(705\) | 1.45106e10 | 1.55963 | ||||||||
\(706\) | 2.83952e9 | − | 4.91819e9i | 0.303689 | − | 0.526004i | ||||
\(707\) | 3.30838e8 | + | 2.09668e8i | 0.0352085 | + | 0.0223133i | ||||
\(708\) | −5.48083e9 | + | 9.49308e9i | −0.580404 | + | 1.00529i | ||||
\(709\) | −3.18933e8 | − | 5.52408e8i | −0.0336076 | − | 0.0582101i | 0.848732 | − | 0.528823i | \(-0.177366\pi\) |
−0.882340 | + | 0.470613i | \(0.844033\pi\) | |||||||
\(710\) | −6.57655e9 | − | 1.13909e10i | −0.689594 | − | 1.19441i | ||||
\(711\) | 3.02707e10 | 3.15849 | ||||||||
\(712\) | −1.98174e8 | −0.0205763 | ||||||||
\(713\) | 8.69718e9 | + | 1.50640e10i | 0.898598 | + | 1.55642i | ||||
\(714\) | −2.25275e10 | − | 1.42768e10i | −2.31617 | − | 1.46787i | ||||
\(715\) | −1.21884e10 | − | 9.21513e9i | −1.24702 | − | 0.942823i | ||||
\(716\) | −1.58417e9 | + | 2.74386e9i | −0.161289 | + | 0.279361i | ||||
\(717\) | −1.21476e10 | + | 2.10403e10i | −1.23076 | + | 2.13174i | ||||
\(718\) | −9.67761e9 | + | 1.67621e10i | −0.975737 | + | 1.69003i | ||||
\(719\) | −5.34442e9 | − | 9.25682e9i | −0.536228 | − | 0.928775i | −0.999103 | − | 0.0423510i | \(-0.986515\pi\) |
0.462874 | − | 0.886424i | \(-0.346818\pi\) | |||||||
\(720\) | 2.15239e10 | 2.14911 | ||||||||
\(721\) | 6.48454e9 | + | 4.10957e9i | 0.644326 | + | 0.408341i | ||||
\(722\) | −9.84978e8 | + | 1.70603e9i | −0.0973971 | + | 0.168697i | ||||
\(723\) | −1.00227e10 | + | 1.73599e10i | −0.986286 | + | 1.70830i | ||||
\(724\) | −2.55100e9 | −0.249819 | ||||||||
\(725\) | −1.31661e9 | + | 2.28043e9i | −0.128314 | + | 0.222246i | ||||
\(726\) | 1.45205e10 | 1.40832 | ||||||||
\(727\) | 1.77003e10 | 1.70848 | 0.854242 | − | 0.519876i | \(-0.174022\pi\) | ||||
0.854242 | + | 0.519876i | \(0.174022\pi\) | |||||||
\(728\) | 5.04848e7 | + | 1.34712e8i | 0.00484955 | + | 0.0129403i | ||||
\(729\) | −1.61462e10 | −1.54357 | ||||||||
\(730\) | −3.46682e10 | −3.29839 | ||||||||
\(731\) | 4.55593e9 | − | 7.89110e9i | 0.431386 | − | 0.747182i | ||||
\(732\) | −1.59385e10 | −1.50196 | ||||||||
\(733\) | −1.78785e9 | + | 3.09664e9i | −0.167674 | + | 0.290420i | −0.937602 | − | 0.347711i | \(-0.886959\pi\) |
0.769927 | + | 0.638131i | \(0.220292\pi\) | |||||||
\(734\) | −5.35691e9 | + | 9.27843e9i | −0.500009 | + | 0.866041i | ||||
\(735\) | 9.36136e9 | + | 1.98300e10i | 0.869628 | + | 1.84211i | ||||
\(736\) | 2.78473e10 | 2.57460 | ||||||||
\(737\) | 3.16081e9 | + | 5.47468e9i | 0.290845 | + | 0.503759i | ||||
\(738\) | 1.68618e10 | − | 2.92055e10i | 1.54421 | − | 2.67465i | ||||
\(739\) | 4.55069e7 | − | 7.88202e7i | 0.00414784 | − | 0.00718426i | −0.863944 | − | 0.503588i | \(-0.832013\pi\) |
0.868092 | + | 0.496404i | \(0.165346\pi\) | |||||||
\(740\) | 2.27220e9 | − | 3.93557e9i | 0.206127 | − | 0.357023i | ||||
\(741\) | −1.56343e10 | + | 6.60695e9i | −1.41161 | + | 0.596537i | ||||
\(742\) | 1.58960e10 | − | 8.32279e9i | 1.42848 | − | 0.747921i | ||||
\(743\) | 6.38396e9 | + | 1.10573e10i | 0.570991 | + | 0.988986i | 0.996464 | + | 0.0840150i | \(0.0267744\pi\) |
−0.425473 | + | 0.904971i | \(0.639892\pi\) | |||||||
\(744\) | 2.52314e8 | 0.0224614 | ||||||||
\(745\) | 2.68103e10 | 2.37550 | ||||||||
\(746\) | −6.97217e9 | − | 1.20761e10i | −0.614868 | − | 1.06498i | ||||
\(747\) | 4.55190e9 | + | 7.88413e9i | 0.399550 | + | 0.692040i | ||||
\(748\) | 8.45344e9 | − | 1.46418e10i | 0.738547 | − | 1.27920i | ||||
\(749\) | 4.68408e8 | − | 1.13442e10i | 0.0407322 | − | 0.986477i | ||||
\(750\) | −7.91962e9 | + | 1.37172e10i | −0.685472 | + | 1.18727i | ||||
\(751\) | −1.27845e10 | −1.10140 | −0.550698 | − | 0.834705i | \(-0.685638\pi\) | ||||
−0.550698 | + | 0.834705i | \(0.685638\pi\) | |||||||
\(752\) | 4.50756e9 | − | 7.80733e9i | 0.386527 | − | 0.669484i | ||||
\(753\) | −1.04263e10 | − | 1.80589e10i | −0.889914 | − | 1.54138i | ||||
\(754\) | 6.50009e9 | + | 4.91445e9i | 0.552229 | + | 0.417518i | ||||
\(755\) | 7.06397e9 | 0.597358 | ||||||||
\(756\) | 5.80598e8 | − | 1.40613e10i | 0.0488708 | − | 1.18358i | ||||
\(757\) | 6.07636e9 | + | 1.05246e10i | 0.509106 | + | 0.881797i | 0.999944 | + | 0.0105465i | \(0.00335713\pi\) |
−0.490839 | + | 0.871251i | \(0.663310\pi\) | |||||||
\(758\) | −2.38572e9 | − | 4.13218e9i | −0.198965 | − | 0.344618i | ||||
\(759\) | −2.29873e10 | − | 3.98152e10i | −1.90828 | − | 3.30524i | ||||
\(760\) | −1.91605e8 | −0.0158328 | ||||||||
\(761\) | −8.78448e9 | − | 1.52152e10i | −0.722553 | − | 1.25150i | −0.959973 | − | 0.280092i | \(-0.909635\pi\) |
0.237420 | − | 0.971407i | \(-0.423698\pi\) | |||||||
\(762\) | −4.50970e9 | −0.369237 | ||||||||
\(763\) | 5.20714e9 | − | 2.72635e9i | 0.424389 | − | 0.222201i | ||||
\(764\) | 1.18250e9 | + | 2.04815e9i | 0.0959346 | + | 0.166164i | ||||
\(765\) | −3.10354e10 | −2.50635 | ||||||||
\(766\) | −1.16267e10 | − | 2.01380e10i | −0.934663 | − | 1.61888i | ||||
\(767\) | −8.17479e9 | + | 3.45460e9i | −0.654173 | + | 0.276449i | ||||
\(768\) | 1.05609e10 | − | 1.82920e10i | 0.841270 | − | 1.45712i | ||||
\(769\) | −5.26257e9 | − | 9.11504e9i | −0.417307 | − | 0.722797i | 0.578360 | − | 0.815781i | \(-0.303693\pi\) |
−0.995668 | + | 0.0929841i | \(0.970359\pi\) | |||||||
\(770\) | −2.47519e10 | + | 1.29595e10i | −1.95385 | + | 1.02299i | ||||
\(771\) | 4.29998e9 | − | 7.44778e9i | 0.337891 | − | 0.585244i | ||||
\(772\) | 2.62151e9 | − | 4.54060e9i | 0.205065 | − | 0.355183i | ||||
\(773\) | −1.11360e10 | −0.867166 | −0.433583 | − | 0.901114i | \(-0.642751\pi\) | ||||
−0.433583 | + | 0.901114i | \(0.642751\pi\) | |||||||
\(774\) | 2.29977e10 | 1.78275 | ||||||||
\(775\) | 3.33638e9 | − | 5.77878e9i | 0.257466 | − | 0.445944i | ||||
\(776\) | −8.89545e7 | + | 1.54074e8i | −0.00683364 | + | 0.0118362i | ||||
\(777\) | 6.15059e9 | + | 3.89793e9i | 0.470374 | + | 0.298099i | ||||
\(778\) | −1.76367e10 | − | 3.05477e10i | −1.34273 | − | 2.32568i | ||||
\(779\) | −7.77408e9 | + | 1.34651e10i | −0.589207 | + | 1.02054i | ||||
\(780\) | −2.13249e10 | − | 1.61229e10i | −1.60900 | − | 1.21650i | ||||
\(781\) | 6.68017e9 | + | 1.15704e10i | 0.501775 | + | 0.869100i | ||||
\(782\) | −4.05464e10 | −3.03200 | ||||||||
\(783\) | 3.94298e9 | + | 6.82944e9i | 0.293534 | + | 0.508416i | ||||
\(784\) | 1.35774e10 | + | 1.12315e9i | 1.00626 | + | 0.0832402i | ||||
\(785\) | −1.03109e10 | −0.760769 | ||||||||
\(786\) | 9.44891e9 | + | 1.63660e10i | 0.694069 | + | 1.20216i | ||||
\(787\) | −2.79527e9 | −0.204415 | −0.102207 | − | 0.994763i | \(-0.532591\pi\) | ||||
−0.102207 | + | 0.994763i | \(0.532591\pi\) | |||||||
\(788\) | −1.07585e9 | − | 1.86343e9i | −0.0783267 | − | 0.135666i | ||||
\(789\) | −3.46135e9 | − | 5.99524e9i | −0.250886 | − | 0.434547i | ||||
\(790\) | −2.20909e10 | − | 3.82625e10i | −1.59411 | − | 2.76108i | ||||
\(791\) | 2.54875e9 | + | 1.61527e9i | 0.183109 | + | 0.116045i | ||||
\(792\) | −4.22134e8 | −0.0301934 | ||||||||
\(793\) | −1.02932e10 | − | 7.78231e9i | −0.732987 | − | 0.554182i | ||||
\(794\) | 5.99863e9 | + | 1.03899e10i | 0.425285 | + | 0.736616i | ||||
\(795\) | 1.64927e10 | − | 2.85662e10i | 1.16415 | − | 2.01636i | ||||
\(796\) | 1.86782e10 | 1.31262 | ||||||||
\(797\) | −7.85901e9 | + | 1.36122e10i | −0.549875 | + | 0.952411i | 0.448408 | + | 0.893829i | \(0.351991\pi\) |
−0.998283 | + | 0.0585822i | \(0.981342\pi\) | |||||||
\(798\) | −1.28037e9 | + | 3.10088e10i | −0.0891920 | + | 2.16011i | ||||
\(799\) | −6.49947e9 | + | 1.12574e10i | −0.450779 | + | 0.780773i | ||||
\(800\) | −5.34134e9 | − | 9.25147e9i | −0.368838 | − | 0.638845i | ||||
\(801\) | 1.86763e10 | + | 3.23483e10i | 1.28404 | + | 2.22402i | ||||
\(802\) | −5.59733e9 | −0.383152 | ||||||||
\(803\) | 3.52145e10 | 2.40003 | ||||||||
\(804\) | 5.53017e9 | + | 9.57854e9i | 0.375269 | + | 0.649985i | ||||
\(805\) | 2.81588e10 | + | 1.78456e10i | 1.90251 | + | 1.20572i | ||||
\(806\) | −1.64717e10 | − | 1.24536e10i | −1.10807 | − | 0.837765i | ||||
\(807\) | 1.76961e10 | − | 3.06505e10i | 1.18528 | − | 2.05296i | ||||
\(808\) | 4.31875e6 | − | 7.48029e6i | 0.000288017 | − | 0.000498860i | ||||
\(809\) | −1.16743e10 | + | 2.02204e10i | −0.775194 | + | 1.34268i | 0.159492 | + | 0.987199i | \(0.449014\pi\) |
−0.934685 | + | 0.355476i | \(0.884319\pi\) | |||||||
\(810\) | −3.29131e9 | − | 5.70071e9i | −0.217606 | − | 0.376905i | ||||
\(811\) | −3.49086e9 | −0.229805 | −0.114903 | − | 0.993377i | \(-0.536656\pi\) | ||||
−0.114903 | + | 0.993377i | \(0.536656\pi\) | |||||||
\(812\) | 6.56763e9 | − | 3.43867e9i | 0.430489 | − | 0.225395i | ||||
\(813\) | −1.91058e10 | + | 3.30922e10i | −1.24695 | + | 2.15978i | ||||
\(814\) | −4.63884e9 | + | 8.03470e9i | −0.301456 | + | 0.522137i | ||||
\(815\) | 1.86202e9 | 0.120485 | ||||||||
\(816\) | −1.52306e10 | + | 2.63802e10i | −0.981299 | + | 1.69966i | ||||
\(817\) | −1.06030e10 | −0.680226 | ||||||||
\(818\) | 7.33786e9 | 0.468741 | ||||||||
\(819\) | 1.72314e10 | − | 2.09362e10i | 1.09604 | − | 1.33169i | ||||
\(820\) | −2.44895e10 | −1.55107 | ||||||||
\(821\) | −1.88951e10 | −1.19165 | −0.595825 | − | 0.803114i | \(-0.703175\pi\) | ||||
−0.595825 | + | 0.803114i | \(0.703175\pi\) | |||||||
\(822\) | 1.69477e10 | − | 2.93543e10i | 1.06429 | − | 1.84340i | ||||
\(823\) | 1.40579e10 | 0.879065 | 0.439533 | − | 0.898227i | \(-0.355144\pi\) | ||||
0.439533 | + | 0.898227i | \(0.355144\pi\) | |||||||
\(824\) | 8.46489e7 | − | 1.46616e8i | 0.00527079 | − | 0.00912928i | ||||
\(825\) | −8.81831e9 | + | 1.52738e10i | −0.546760 | + | 0.947016i | ||||
\(826\) | −6.69473e8 | + | 1.62137e10i | −0.0413336 | + | 1.00104i | ||||
\(827\) | −1.66878e10 | −1.02596 | −0.512980 | − | 0.858400i | \(-0.671459\pi\) | ||||
−0.512980 | + | 0.858400i | \(0.671459\pi\) | |||||||
\(828\) | −2.54582e10 | − | 4.40949e10i | −1.55855 | − | 2.69949i | ||||
\(829\) | −1.40177e10 | + | 2.42794e10i | −0.854549 | + | 1.48012i | 0.0225147 | + | 0.999747i | \(0.492833\pi\) |
−0.877063 | + | 0.480375i | \(0.840501\pi\) | |||||||
\(830\) | 6.64374e9 | − | 1.15073e10i | 0.403310 | − | 0.698553i | ||||
\(831\) | −2.49996e10 | + | 4.33007e10i | −1.51123 | + | 2.61753i | ||||
\(832\) | −1.50009e10 | + | 6.33925e9i | −0.902994 | + | 0.381598i | ||||
\(833\) | −1.95773e10 | − | 1.61948e9i | −1.17353 | − | 0.0970773i | ||||
\(834\) | 1.09330e10 | + | 1.89366e10i | 0.652619 | + | 1.13037i | ||||
\(835\) | 3.14367e10 | 1.86868 | ||||||||
\(836\) | −1.96737e10 | −1.16457 | ||||||||
\(837\) | −9.99181e9 | − | 1.73063e10i | −0.588986 | − | 1.02015i | ||||
\(838\) | −3.87564e8 | − | 6.71281e8i | −0.0227504 | − | 0.0394049i | ||||
\(839\) | 9.50579e9 | − | 1.64645e10i | 0.555676 | − | 0.962458i | −0.442175 | − | 0.896929i | \(-0.645793\pi\) |
0.997851 | − | 0.0655296i | \(-0.0208737\pi\) | |||||||
\(840\) | 4.28408e8 | − | 2.24305e8i | 0.0249390 | − | 0.0130575i | ||||
\(841\) | 6.54789e9 | − | 1.13413e10i | 0.379591 | − | 0.657470i | ||||
\(842\) | 2.17674e10 | 1.25665 | ||||||||
\(843\) | −1.93242e10 | + | 3.34705e10i | −1.11098 | + | 1.92427i | ||||
\(844\) | 5.83638e7 | + | 1.01089e8i | 0.00334153 | + | 0.00578769i | ||||
\(845\) | −5.89949e9 | − | 2.08246e10i | −0.336369 | − | 1.18735i | ||||
\(846\) | −3.28084e10 | −1.86290 | ||||||||
\(847\) | 9.47491e9 | − | 4.96086e9i | 0.535776 | − | 0.280521i | ||||
\(848\) | −1.02466e10 | − | 1.77477e10i | −0.577026 | − | 0.999438i | ||||
\(849\) | 4.73100e9 | + | 8.19433e9i | 0.265324 | + | 0.459554i | ||||
\(850\) | 7.77714e9 | + | 1.34704e10i | 0.434364 | + | 0.752340i | ||||
\(851\) | 1.10702e10 | 0.615746 | ||||||||
\(852\) | 1.16877e10 | + | 2.02437e10i | 0.647425 | + | 1.12137i | ||||
\(853\) | 2.71878e10 | 1.49987 | 0.749934 | − | 0.661513i | \(-0.230085\pi\) | ||||
0.749934 | + | 0.661513i | \(0.230085\pi\) | |||||||
\(854\) | −2.09033e10 | + | 1.09445e10i | −1.14845 | + | 0.601303i | ||||
\(855\) | 1.80572e10 | + | 3.12760e10i | 0.988028 | + | 1.71131i | ||||
\(856\) | −2.50379e8 | −0.0136439 | ||||||||
\(857\) | 1.08861e10 | + | 1.88552e10i | 0.590797 | + | 1.02329i | 0.994125 | + | 0.108235i | \(0.0345198\pi\) |
−0.403329 | + | 0.915055i | \(0.632147\pi\) | |||||||
\(858\) | 4.35360e10 | + | 3.29158e10i | 2.35311 | + | 1.77909i | ||||
\(859\) | −3.96241e9 | + | 6.86310e9i | −0.213297 | + | 0.369440i | −0.952744 | − | 0.303774i | \(-0.901753\pi\) |
0.739448 | + | 0.673214i | \(0.235087\pi\) | |||||||
\(860\) | −8.35028e9 | − | 1.44631e10i | −0.447668 | − | 0.775385i | ||||
\(861\) | 1.61889e9 | − | 3.92074e10i | 0.0864385 | − | 2.09342i | ||||
\(862\) | −9.10323e9 | + | 1.57673e10i | −0.484084 | + | 0.838457i | ||||
\(863\) | 5.49290e9 | − | 9.51398e9i | 0.290914 | − | 0.503877i | −0.683112 | − | 0.730313i | \(-0.739374\pi\) |
0.974026 | + | 0.226436i | \(0.0727074\pi\) | |||||||
\(864\) | −3.19925e10 | −1.68753 | ||||||||
\(865\) | 4.30690e9 | 0.226261 | ||||||||
\(866\) | 2.06446e10 | − | 3.57576e10i | 1.08018 | − | 1.87092i | ||||
\(867\) | 6.12306e9 | − | 1.06055e10i | 0.319082 | − | 0.552666i | ||||
\(868\) | −1.66429e10 | + | 8.71384e9i | −0.863792 | + | 0.452263i | ||||
\(869\) | 2.24389e10 | + | 3.88654e10i | 1.15993 | + | 2.00906i | ||||
\(870\) | 1.36958e10 | − | 2.37218e10i | 0.705129 | − | 1.22132i | ||||
\(871\) | −1.10548e9 | + | 8.88616e9i | −0.0566876 | + | 0.455670i | ||||
\(872\) | −6.48084e7 | − | 1.12251e8i | −0.00330997 | − | 0.00573303i | ||||
\(873\) | 3.35330e10 | 1.70578 | ||||||||
\(874\) | 2.35910e10 | + | 4.08608e10i | 1.19524 | + | 2.07022i | ||||
\(875\) | −4.81302e8 | + | 1.16565e10i | −0.0242879 | + | 0.588219i | ||||
\(876\) | 6.16115e10 | 3.09669 | ||||||||
\(877\) | −1.48189e10 | − | 2.56671e10i | −0.741854 | − | 1.28493i | −0.951650 | − | 0.307183i | \(-0.900614\pi\) |
0.209797 | − | 0.977745i | \(-0.432720\pi\) | |||||||
\(878\) | 1.99482e10 | 0.994655 | ||||||||
\(879\) | 3.64726e9 | + | 6.31725e9i | 0.181137 | + | 0.313738i | ||||
\(880\) | 1.59551e10 | + | 2.76351e10i | 0.789244 | + | 1.36701i | ||||
\(881\) | −9.35252e9 | − | 1.61990e10i | −0.460800 | − | 0.798130i | 0.538201 | − | 0.842817i | \(-0.319104\pi\) |
−0.999001 | + | 0.0446871i | \(0.985771\pi\) | |||||||
\(882\) | −2.11661e10 | − | 4.48356e10i | −1.03872 | − | 2.20031i | ||||
\(883\) | −3.89354e10 | −1.90319 | −0.951595 | − | 0.307355i | \(-0.900556\pi\) | ||||
−0.951595 | + | 0.307355i | \(0.900556\pi\) | |||||||
\(884\) | 2.20599e10 | − | 9.32236e9i | 1.07404 | − | 0.453882i | ||||
\(885\) | 1.49159e10 | + | 2.58351e10i | 0.723349 | + | 1.25288i | ||||
\(886\) | 1.51659e10 | − | 2.62681e10i | 0.732571 | − | 1.26885i | ||||
\(887\) | 3.41575e10 | 1.64344 | 0.821719 | − | 0.569892i | \(-0.193015\pi\) | ||||
0.821719 | + | 0.569892i | \(0.193015\pi\) | |||||||
\(888\) | 8.02895e7 | − | 1.39066e8i | 0.00384781 | − | 0.00666460i | ||||
\(889\) | −2.94268e9 | + | 1.54072e9i | −0.140471 | + | 0.0735475i | ||||
\(890\) | 2.72590e10 | − | 4.72140e10i | 1.29612 | − | 2.24495i | ||||
\(891\) | 3.34317e9 | + | 5.79054e9i | 0.158338 | + | 0.274250i | ||||
\(892\) | −6.51136e9 | − | 1.12780e10i | −0.307181 | − | 0.532053i | ||||
\(893\) | 1.51262e10 | 0.710806 | ||||||||
\(894\) | −9.57645e10 | −4.48253 | ||||||||
\(895\) | 4.31125e9 | + | 7.46731e9i | 0.201012 | + | 0.348164i | ||||
\(896\) | 2.45500e7 | − | 5.94566e8i | 0.00114018 | − | 0.0276135i | ||||
\(897\) | 8.03975e9 | − | 6.46256e10i | 0.371936 | − | 2.98972i | ||||
\(898\) | −2.20732e9 | + | 3.82319e9i | −0.101718 | + | 0.176181i | ||||
\(899\) | 5.26340e9 | − | 9.11647e9i | 0.241606 | − | 0.418473i | ||||
\(900\) | −9.76618e9 | + | 1.69155e10i | −0.446556 | + | 0.773457i | ||||
\(901\) | 1.47746e10 | + | 2.55904e10i | 0.672945 | + | 1.16557i | ||||
\(902\) | 4.99968e10 | 2.26840 | ||||||||
\(903\) | 2.37072e10 | − | 1.24126e10i | 1.07146 | − | 0.560990i | ||||
\(904\) | 3.32713e7 | − | 5.76275e7i | 0.00149789 | − | 0.00259442i | ||||
\(905\) | −3.47123e9 | + | 6.01234e9i | −0.155673 | + | 0.269633i | ||||
\(906\) | −2.52320e10 | −1.12721 | ||||||||
\(907\) | 9.43699e9 | − | 1.63453e10i | 0.419960 | − | 0.727392i | −0.575975 | − | 0.817467i | \(-0.695377\pi\) |
0.995935 | + | 0.0900752i | \(0.0287107\pi\) | |||||||
\(908\) | 2.89081e10 | 1.28150 | ||||||||
\(909\) | −1.62803e9 | −0.0718933 | ||||||||
\(910\) | −3.90386e10 | − | 6.50193e9i | −1.71731 | − | 0.286021i | ||||
\(911\) | −2.87337e9 | −0.125915 | −0.0629575 | − | 0.998016i | \(-0.520053\pi\) | ||||
−0.0629575 | + | 0.998016i | \(0.520053\pi\) | |||||||
\(912\) | 3.54462e10 | 1.54735 | ||||||||
\(913\) | −6.74842e9 | + | 1.16886e10i | −0.293464 | + | 0.508294i | ||||
\(914\) | −8.40161e9 | −0.363958 | ||||||||
\(915\) | −2.16880e10 | + | 3.75647e10i | −0.935935 | + | 1.62109i | ||||
\(916\) | 9.15513e9 | − | 1.58572e10i | 0.393578 | − | 0.681697i | ||||
\(917\) | 1.17570e10 | + | 7.45098e9i | 0.503505 | + | 0.319096i | ||||
\(918\) | 4.65820e10 | 1.98732 | ||||||||
\(919\) | −8.17807e9 | − | 1.41648e10i | −0.347573 | − | 0.602015i | 0.638244 | − | 0.769834i | \(-0.279661\pi\) |
−0.985818 | + | 0.167819i | \(0.946328\pi\) | |||||||
\(920\) | 3.67583e8 | − | 6.36673e8i | 0.0155632 | − | 0.0269562i | ||||
\(921\) | −2.31493e10 | + | 4.00957e10i | −0.976402 | + | 1.69118i | ||||
\(922\) | 6.36711e9 | − | 1.10282e10i | 0.267537 | − | 0.463388i | ||||
\(923\) | −2.33637e9 | + | 1.87803e10i | −0.0977992 | + | 0.786136i | ||||
\(924\) | 4.39884e10 | − | 2.30314e10i | 1.83437 | − | 0.960434i | ||||
\(925\) | −2.12335e9 | − | 3.67776e9i | −0.0882117 | − | 0.152787i | ||||
\(926\) | −5.04553e10 | −2.08818 | ||||||||
\(927\) | −3.19099e10 | −1.31567 | ||||||||
\(928\) | −8.42636e9 | − | 1.45949e10i | −0.346116 | − | 0.599491i | ||||
\(929\) | −3.85127e9 | − | 6.67059e9i | −0.157597 | − | 0.272967i | 0.776404 | − | 0.630235i | \(-0.217041\pi\) |
−0.934002 | + | 0.357268i | \(0.883708\pi\) | |||||||
\(930\) | −3.47061e10 | + | 6.01127e10i | −1.41487 | + | 2.45062i | ||||
\(931\) | 9.75857e9 | + | 2.06714e10i | 0.396335 | + | 0.839547i | ||||
\(932\) | 1.02196e10 | − | 1.77009e10i | 0.413503 | − | 0.716208i | ||||
\(933\) | 5.37973e10 | 2.16858 | ||||||||
\(934\) | −1.17377e10 | + | 2.03304e10i | −0.471379 | + | 0.816453i | ||||
\(935\) | −2.30057e10 | − | 3.98471e10i | −0.920440 | − | 1.59425i | ||||
\(936\) | −4.76976e8 | − | 3.60622e8i | −0.0190121 | − | 0.0143743i | ||||
\(937\) | −4.14679e10 | −1.64674 | −0.823368 | − | 0.567508i | \(-0.807908\pi\) | ||||
−0.823368 | + | 0.567508i | \(0.807908\pi\) | |||||||
\(938\) | 1.38301e10 | + | 8.76483e9i | 0.547163 | + | 0.346764i | ||||
\(939\) | −3.40988e9 | − | 5.90609e9i | −0.134403 | − | 0.232793i | ||||
\(940\) | 1.19125e10 | + | 2.06330e10i | 0.467794 | + | 0.810243i | ||||
\(941\) | −4.03031e9 | − | 6.98071e9i | −0.157680 | − | 0.273109i | 0.776352 | − | 0.630300i | \(-0.217068\pi\) |
−0.934031 | + | 0.357191i | \(0.883735\pi\) | |||||||
\(942\) | 3.68298e10 | 1.43556 | ||||||||
\(943\) | −2.98283e10 | − | 5.16641e10i | −1.15834 | − | 2.00631i | ||||
\(944\) | 1.85339e10 | 0.717076 | ||||||||
\(945\) | −3.23504e10 | − | 2.05020e10i | −1.24700 | − | 0.790287i | ||||
\(946\) | 1.70476e10 | + | 2.95273e10i | 0.654703 | + | 1.13398i | ||||
\(947\) | 3.89519e10 | 1.49040 | 0.745202 | − | 0.666839i | \(-0.232353\pi\) | ||||
0.745202 | + | 0.666839i | \(0.232353\pi\) | |||||||
\(948\) | 3.92593e10 | + | 6.79991e10i | 1.49663 | + | 2.59223i | ||||
\(949\) | 3.97894e10 | + | 3.00832e10i | 1.51125 | + | 1.14259i | ||||
\(950\) | 9.04989e9 | − | 1.56749e10i | 0.342461 | − | 0.593159i | ||||
\(951\) | 2.91419e10 | + | 5.04752e10i | 1.09872 | + | 1.90303i | ||||
\(952\) | −1.78719e7 | + | 4.32831e8i | −0.000671336 | + | 0.0162588i | ||||
\(953\) | 2.14025e10 | − | 3.70702e10i | 0.801013 | − | 1.38740i | −0.117937 | − | 0.993021i | \(-0.537628\pi\) |
0.918950 | − | 0.394374i | \(-0.129039\pi\) | |||||||
\(954\) | −3.72901e10 | + | 6.45884e10i | −1.39051 | + | 2.40844i | ||||
\(955\) | 6.43628e9 | 0.239124 | ||||||||
\(956\) | −3.98905e10 | −1.47661 | ||||||||
\(957\) | −1.39116e10 | + | 2.40955e10i | −0.513079 | + | 0.888678i | ||||
\(958\) | −1.57749e10 | + | 2.73229e10i | −0.579678 | + | 1.00403i | ||||
\(959\) | 1.02997e9 | − | 2.49445e10i | 0.0377103 | − | 0.913290i | ||||
\(960\) | 2.73709e10 | + | 4.74078e10i | 0.998481 | + | 1.72942i | ||||
\(961\) | 4.18457e8 | − | 7.24789e8i | 0.0152096 | − | 0.0263439i | ||||
\(962\) | −1.21054e10 | + | 5.11566e9i | −0.438396 | + | 0.185263i | ||||
\(963\) | 2.35962e10 | + | 4.08698e10i | 0.851432 | + | 1.47472i | ||||
\(964\) | −3.29128e10 | −1.18330 | ||||||||
\(965\) | −7.13436e9 | − | 1.23571e10i | −0.255570 | − | 0.442660i | ||||
\(966\) | −1.00581e11 | − | 6.37432e10i | −3.59002 | − | 2.27517i | ||||
\(967\) | 1.53637e10 | 0.546389 | 0.273195 | − | 0.961959i | \(-0.411920\pi\) | ||||
0.273195 | + | 0.961959i | \(0.411920\pi\) | |||||||
\(968\) | −1.17925e8 | − | 2.04253e8i | −0.00417872 | − | 0.00723776i | ||||
\(969\) | −5.11100e10 | −1.80457 | ||||||||
\(970\) | −2.44716e10 | − | 4.23860e10i | −0.860916 | − | 1.49115i | ||||
\(971\) | 1.71834e10 | + | 2.97625e10i | 0.602339 | + | 1.04328i | 0.992466 | + | 0.122521i | \(0.0390978\pi\) |
−0.390127 | + | 0.920761i | \(0.627569\pi\) | |||||||
\(972\) | −1.11086e10 | − | 1.92406e10i | −0.387996 | − | 0.672028i | ||||
\(973\) | 1.36037e10 | + | 8.62131e9i | 0.473436 | + | 0.300039i | ||||
\(974\) | −5.63847e10 | −1.95526 | ||||||||
\(975\) | −2.30121e10 | + | 9.72473e9i | −0.795133 | + | 0.336017i | ||||
\(976\) | 1.34743e10 | + | 2.33382e10i | 0.463909 | + | 0.803514i | ||||
\(977\) | 1.31225e10 | − | 2.27289e10i | 0.450180 | − | 0.779735i | −0.548217 | − | 0.836336i | \(-0.684693\pi\) |
0.998397 | + | 0.0566014i | \(0.0180264\pi\) | |||||||
\(978\) | −6.65100e9 | −0.227353 | ||||||||
\(979\) | −2.76885e10 | + | 4.79580e10i | −0.943106 | + | 1.63351i | ||||
\(980\) | −2.05116e10 | + | 2.95907e10i | −0.696159 | + | 1.00430i | ||||
\(981\) | −1.22153e10 | + | 2.11576e10i | −0.413109 | + | 0.715525i | ||||
\(982\) | 7.41648e9 | + | 1.28457e10i | 0.249924 | + | 0.432881i | ||||
\(983\) | −1.38865e10 | − | 2.40522e10i | −0.466291 | − | 0.807640i | 0.532968 | − | 0.846136i | \(-0.321077\pi\) |
−0.999259 | + | 0.0384959i | \(0.987743\pi\) | |||||||
\(984\) | −8.65350e8 | −0.0289540 | ||||||||
\(985\) | −5.85577e9 | −0.195235 | ||||||||
\(986\) | 1.22690e10 | + | 2.12506e10i | 0.407606 | + | 0.705994i | ||||
\(987\) | −3.38207e10 | + | 1.77078e10i | −1.11962 | + | 0.586210i | ||||
\(988\) | −2.22297e10 | − | 1.68070e10i | −0.733304 | − | 0.554421i | ||||
\(989\) | 2.03413e10 | − | 3.52322e10i | 0.668640 | − | 1.15812i | ||||
\(990\) | 5.80649e10 | − | 1.00571e11i | 1.90191 | − | 3.29421i | ||||
\(991\) | 9.76838e9 | − | 1.69193e10i | 0.318834 | − | 0.552237i | −0.661411 | − | 0.750024i | \(-0.730042\pi\) |
0.980245 | + | 0.197787i | \(0.0633754\pi\) | |||||||
\(992\) | 2.13531e10 | + | 3.69846e10i | 0.694495 | + | 1.20290i | ||||
\(993\) | 2.66400e10 | 0.863401 | ||||||||
\(994\) | 2.92291e10 | + | 1.85239e10i | 0.943981 | + | 0.598247i | ||||
\(995\) | 2.54160e10 | − | 4.40218e10i | 0.817949 | − | 1.41673i | ||||
\(996\) | −1.18071e10 | + | 2.04505e10i | −0.378647 | + | 0.655836i | ||||
\(997\) | −5.25066e9 | −0.167796 | −0.0838978 | − | 0.996474i | \(-0.526737\pi\) | ||||
−0.0838978 | + | 0.996474i | \(0.526737\pi\) | |||||||
\(998\) | 2.61837e10 | − | 4.53514e10i | 0.833822 | − | 1.44422i | ||||
\(999\) | −1.27181e10 | −0.403591 |
(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 | 91.8.h.a.16.11 | yes | 126 | |
7.4 | even | 3 | 91.8.g.a.81.53 | yes | 126 | ||
13.9 | even | 3 | 91.8.g.a.9.53 | ✓ | 126 | ||
91.74 | even | 3 | inner | 91.8.h.a.74.11 | yes | 126 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
91.8.g.a.9.53 | ✓ | 126 | 13.9 | even | 3 | ||
91.8.g.a.81.53 | yes | 126 | 7.4 | even | 3 | ||
91.8.h.a.16.11 | yes | 126 | 1.1 | even | 1 | trivial | |
91.8.h.a.74.11 | yes | 126 | 91.74 | even | 3 | inner |