Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [14,14,Mod(9,14)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(14, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 14, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("14.9");
S:= CuspForms(chi, 14);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 14 = 2 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 14 \) |
Character orbit: | \([\chi]\) | \(=\) | 14.c (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: | \(15.0123300533\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{8} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - 2 x^{7} + 692094 x^{6} + 445371928 x^{5} + 480078817147 x^{4} + 153633603309480 x^{3} + \cdots + 23\!\cdots\!25 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{14}\cdot 3\cdot 7^{4} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 9.3 | ||
Root | \(481.229 - 833.513i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 14.9 |
Dual form | 14.14.c.a.11.3 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/14\mathbb{Z}\right)^\times\).
\(n\) | \(3\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −32.0000 | + | 55.4256i | −0.353553 | + | 0.612372i | ||||
\(3\) | 301.970 | + | 523.027i | 0.239153 | + | 0.414225i | 0.960471 | − | 0.278378i | \(-0.0897970\pi\) |
−0.721319 | + | 0.692603i | \(0.756464\pi\) | |||||||
\(4\) | −2048.00 | − | 3547.24i | −0.250000 | − | 0.433013i | ||||
\(5\) | 2521.96 | − | 4368.16i | 0.0721827 | − | 0.125024i | −0.827675 | − | 0.561208i | \(-0.810337\pi\) |
0.899858 | + | 0.436184i | \(0.143670\pi\) | |||||||
\(6\) | −38652.2 | −0.338213 | ||||||||
\(7\) | 302038. | + | 75247.5i | 0.970340 | + | 0.241743i | ||||
\(8\) | 262144. | 0.353553 | ||||||||
\(9\) | 614790. | − | 1.06485e6i | 0.385612 | − | 0.667899i | ||||
\(10\) | 161406. | + | 279563.i | 0.0510409 | + | 0.0884054i | ||||
\(11\) | 542112. | + | 938966.i | 0.0922649 | + | 0.159808i | 0.908464 | − | 0.417963i | \(-0.137256\pi\) |
−0.816199 | + | 0.577771i | \(0.803923\pi\) | |||||||
\(12\) | 1.23687e6 | − | 2.14232e6i | 0.119576 | − | 0.207112i | ||||
\(13\) | 4.14987e6 | 0.238453 | 0.119226 | − | 0.992867i | \(-0.461959\pi\) | ||||
0.119226 | + | 0.992867i | \(0.461959\pi\) | |||||||
\(14\) | −1.38358e7 | + | 1.43327e7i | −0.491104 | + | 0.508740i | ||||
\(15\) | 3.04623e6 | 0.0690508 | ||||||||
\(16\) | −8.38861e6 | + | 1.45295e7i | −0.125000 | + | 0.216506i | ||||
\(17\) | 7.24847e7 | + | 1.25547e8i | 0.728330 | + | 1.26151i | 0.957588 | + | 0.288140i | \(0.0930368\pi\) |
−0.229258 | + | 0.973366i | \(0.573630\pi\) | |||||||
\(18\) | 3.93465e7 | + | 6.81502e7i | 0.272669 | + | 0.472276i | ||||
\(19\) | −1.39515e8 | + | 2.41647e8i | −0.680334 | + | 1.17837i | 0.294545 | + | 0.955638i | \(0.404832\pi\) |
−0.974879 | + | 0.222736i | \(0.928501\pi\) | |||||||
\(20\) | −2.06599e7 | −0.0721827 | ||||||||
\(21\) | 5.18498e7 | + | 1.80697e8i | 0.131923 | + | 0.459753i | ||||
\(22\) | −6.93903e7 | −0.130482 | ||||||||
\(23\) | −4.18856e7 | + | 7.25481e7i | −0.0589976 | + | 0.102187i | −0.894016 | − | 0.448036i | \(-0.852124\pi\) |
0.835018 | + | 0.550222i | \(0.185457\pi\) | |||||||
\(24\) | 7.91596e7 | + | 1.37108e8i | 0.0845533 | + | 0.146451i | ||||
\(25\) | 5.97631e8 | + | 1.03513e9i | 0.489579 | + | 0.847976i | ||||
\(26\) | −1.32796e8 | + | 2.30009e8i | −0.0843058 | + | 0.146022i | ||||
\(27\) | 1.70547e9 | 0.847186 | ||||||||
\(28\) | −3.51652e8 | − | 1.22551e9i | −0.137907 | − | 0.480605i | ||||
\(29\) | 6.32895e8 | 0.197581 | 0.0987903 | − | 0.995108i | \(-0.468503\pi\) | ||||
0.0987903 | + | 0.995108i | \(0.468503\pi\) | |||||||
\(30\) | −9.74792e7 | + | 1.68839e8i | −0.0244132 | + | 0.0422848i | ||||
\(31\) | −1.65733e9 | − | 2.87058e9i | −0.335396 | − | 0.580923i | 0.648165 | − | 0.761500i | \(-0.275537\pi\) |
−0.983561 | + | 0.180577i | \(0.942203\pi\) | |||||||
\(32\) | −5.36871e8 | − | 9.29888e8i | −0.0883883 | − | 0.153093i | ||||
\(33\) | −3.27403e8 | + | 5.67079e8i | −0.0441308 | + | 0.0764369i | ||||
\(34\) | −9.27804e9 | −1.03001 | ||||||||
\(35\) | 1.09042e9 | − | 1.12958e9i | 0.100266 | − | 0.103866i | ||||
\(36\) | −5.03636e9 | −0.385612 | ||||||||
\(37\) | 8.76684e9 | − | 1.51846e10i | 0.561735 | − | 0.972954i | −0.435610 | − | 0.900136i | \(-0.643467\pi\) |
0.997345 | − | 0.0728185i | \(-0.0231994\pi\) | |||||||
\(38\) | −8.92896e9 | − | 1.54654e10i | −0.481069 | − | 0.833236i | ||||
\(39\) | 1.25314e9 | + | 2.17049e9i | 0.0570267 | + | 0.0987731i | ||||
\(40\) | 6.61117e8 | − | 1.14509e9i | 0.0255205 | − | 0.0442027i | ||||
\(41\) | 1.15568e10 | 0.379966 | 0.189983 | − | 0.981787i | \(-0.439157\pi\) | ||||
0.189983 | + | 0.981787i | \(0.439157\pi\) | |||||||
\(42\) | −1.16744e10 | − | 2.90848e9i | −0.328182 | − | 0.0817609i | ||||
\(43\) | 4.19323e10 | 1.01159 | 0.505794 | − | 0.862654i | \(-0.331200\pi\) | ||||
0.505794 | + | 0.862654i | \(0.331200\pi\) | |||||||
\(44\) | 2.22049e9 | − | 3.84600e9i | 0.0461325 | − | 0.0799038i | ||||
\(45\) | −3.10095e9 | − | 5.37101e9i | −0.0556690 | − | 0.0964216i | ||||
\(46\) | −2.68068e9 | − | 4.64308e9i | −0.0417176 | − | 0.0722570i | ||||
\(47\) | −2.47264e10 | + | 4.28274e10i | −0.334599 | + | 0.579543i | −0.983408 | − | 0.181409i | \(-0.941934\pi\) |
0.648808 | + | 0.760952i | \(0.275268\pi\) | |||||||
\(48\) | −1.01324e10 | −0.119576 | ||||||||
\(49\) | 8.55646e10 | + | 4.54552e10i | 0.883120 | + | 0.469147i | ||||
\(50\) | −7.64968e10 | −0.692370 | ||||||||
\(51\) | −4.37764e10 | + | 7.58230e10i | −0.348365 | + | 0.603385i | ||||
\(52\) | −8.49893e9 | − | 1.47206e10i | −0.0596132 | − | 0.103253i | ||||
\(53\) | 1.09584e11 | + | 1.89805e11i | 0.679132 | + | 1.17629i | 0.975243 | + | 0.221138i | \(0.0709770\pi\) |
−0.296111 | + | 0.955154i | \(0.595690\pi\) | |||||||
\(54\) | −5.45750e10 | + | 9.45266e10i | −0.299526 | + | 0.518794i | ||||
\(55\) | 5.46874e9 | 0.0266397 | ||||||||
\(56\) | 7.91774e10 | + | 1.97257e10i | 0.343067 | + | 0.0854692i | ||||
\(57\) | −1.68517e11 | −0.650816 | ||||||||
\(58\) | −2.02526e10 | + | 3.50786e10i | −0.0698553 | + | 0.120993i | ||||
\(59\) | −6.67539e10 | − | 1.15621e11i | −0.206034 | − | 0.356861i | 0.744428 | − | 0.667703i | \(-0.232722\pi\) |
−0.950462 | + | 0.310842i | \(0.899389\pi\) | |||||||
\(60\) | −6.23867e9 | − | 1.08057e10i | −0.0172627 | − | 0.0298999i | ||||
\(61\) | 6.84740e10 | − | 1.18600e11i | 0.170170 | − | 0.294742i | −0.768309 | − | 0.640079i | \(-0.778902\pi\) |
0.938479 | + | 0.345336i | \(0.112235\pi\) | |||||||
\(62\) | 2.12138e11 | 0.474321 | ||||||||
\(63\) | 2.65817e11 | − | 2.75363e11i | 0.535635 | − | 0.554870i | ||||
\(64\) | 6.87195e10 | 0.125000 | ||||||||
\(65\) | 1.04658e10 | − | 1.81273e10i | 0.0172122 | − | 0.0298124i | ||||
\(66\) | −2.09538e10 | − | 3.62930e10i | −0.0312052 | − | 0.0540490i | ||||
\(67\) | −4.61830e11 | − | 7.99913e11i | −0.623729 | − | 1.08033i | −0.988785 | − | 0.149345i | \(-0.952283\pi\) |
0.365056 | − | 0.930986i | \(-0.381050\pi\) | |||||||
\(68\) | 2.96897e11 | − | 5.14241e11i | 0.364165 | − | 0.630753i | ||||
\(69\) | −5.05928e10 | −0.0564378 | ||||||||
\(70\) | 2.77142e10 | + | 9.65838e10i | 0.0281556 | + | 0.0981222i | ||||
\(71\) | −9.00251e11 | −0.834035 | −0.417017 | − | 0.908898i | \(-0.636925\pi\) | ||||
−0.417017 | + | 0.908898i | \(0.636925\pi\) | |||||||
\(72\) | 1.61163e11 | − | 2.79143e11i | 0.136334 | − | 0.236138i | ||||
\(73\) | −9.23524e11 | − | 1.59959e12i | −0.714249 | − | 1.23711i | −0.963249 | − | 0.268611i | \(-0.913435\pi\) |
0.249000 | − | 0.968503i | \(-0.419898\pi\) | |||||||
\(74\) | 5.61077e11 | + | 9.71815e11i | 0.397207 | + | 0.687982i | ||||
\(75\) | −3.60933e11 | + | 6.25155e11i | −0.234169 | + | 0.405592i | ||||
\(76\) | 1.14291e12 | 0.680334 | ||||||||
\(77\) | 9.30835e10 | + | 3.24396e11i | 0.0508959 | + | 0.177372i | ||||
\(78\) | −1.60401e11 | −0.0806479 | ||||||||
\(79\) | −1.46285e12 | + | 2.53374e12i | −0.677056 | + | 1.17270i | 0.298807 | + | 0.954314i | \(0.403411\pi\) |
−0.975863 | + | 0.218382i | \(0.929922\pi\) | |||||||
\(80\) | 4.23115e10 | + | 7.32856e10i | 0.0180457 | + | 0.0312560i | ||||
\(81\) | −4.65173e11 | − | 8.05704e11i | −0.183005 | − | 0.316973i | ||||
\(82\) | −3.69819e11 | + | 6.40546e11i | −0.134338 | + | 0.232681i | ||||
\(83\) | 4.12504e12 | 1.38491 | 0.692453 | − | 0.721463i | \(-0.256530\pi\) | ||||
0.692453 | + | 0.721463i | \(0.256530\pi\) | |||||||
\(84\) | 5.34785e11 | − | 5.53990e11i | 0.166098 | − | 0.172063i | ||||
\(85\) | 7.31215e11 | 0.210292 | ||||||||
\(86\) | −1.34183e12 | + | 2.32412e12i | −0.357650 | + | 0.619468i | ||||
\(87\) | 1.91115e11 | + | 3.31021e11i | 0.0472520 | + | 0.0818428i | ||||
\(88\) | 1.42111e11 | + | 2.46144e11i | 0.0326206 | + | 0.0565005i | ||||
\(89\) | −2.20056e12 | + | 3.81148e12i | −0.469351 | + | 0.812940i | −0.999386 | − | 0.0350361i | \(-0.988845\pi\) |
0.530035 | + | 0.847976i | \(0.322179\pi\) | |||||||
\(90\) | 3.96922e11 | 0.0787279 | ||||||||
\(91\) | 1.25342e12 | + | 3.12267e11i | 0.231380 | + | 0.0576444i | ||||
\(92\) | 3.43127e11 | 0.0589976 | ||||||||
\(93\) | 1.00093e12 | − | 1.73366e12i | 0.160422 | − | 0.277859i | ||||
\(94\) | −1.58249e12 | − | 2.74095e12i | −0.236598 | − | 0.409799i | ||||
\(95\) | 7.03703e11 | + | 1.21885e12i | 0.0982168 | + | 0.170116i | ||||
\(96\) | 3.24238e11 | − | 5.61596e11i | 0.0422767 | − | 0.0732253i | ||||
\(97\) | 3.35398e12 | 0.408832 | 0.204416 | − | 0.978884i | \(-0.434471\pi\) | ||||
0.204416 | + | 0.978884i | \(0.434471\pi\) | |||||||
\(98\) | −5.25745e12 | + | 3.28791e12i | −0.599523 | + | 0.374930i | ||||
\(99\) | 1.33314e12 | 0.142314 | ||||||||
\(100\) | 2.44790e12 | − | 4.23988e12i | 0.244790 | − | 0.423988i | ||||
\(101\) | 1.86598e12 | + | 3.23198e12i | 0.174912 | + | 0.302956i | 0.940131 | − | 0.340814i | \(-0.110703\pi\) |
−0.765219 | + | 0.643770i | \(0.777369\pi\) | |||||||
\(102\) | −2.80169e12 | − | 4.85267e12i | −0.246331 | − | 0.426658i | ||||
\(103\) | −2.52549e12 | + | 4.37428e12i | −0.208403 | + | 0.360965i | −0.951212 | − | 0.308539i | \(-0.900160\pi\) |
0.742809 | + | 0.669504i | \(0.233493\pi\) | |||||||
\(104\) | 1.08786e12 | 0.0843058 | ||||||||
\(105\) | 9.20075e11 | + | 2.29221e11i | 0.0670028 | + | 0.0166926i | ||||
\(106\) | −1.40268e13 | −0.960438 | ||||||||
\(107\) | 5.60554e12 | − | 9.70909e12i | 0.361096 | − | 0.625437i | −0.627045 | − | 0.778983i | \(-0.715736\pi\) |
0.988142 | + | 0.153546i | \(0.0490692\pi\) | |||||||
\(108\) | −3.49280e12 | − | 6.04970e12i | −0.211797 | − | 0.366843i | ||||
\(109\) | −1.53833e13 | − | 2.66446e13i | −0.878571 | − | 1.52173i | −0.852910 | − | 0.522058i | \(-0.825164\pi\) |
−0.0256606 | − | 0.999671i | \(-0.508169\pi\) | |||||||
\(110\) | −1.75000e11 | + | 3.03108e11i | −0.00941857 | + | 0.0163134i | ||||
\(111\) | 1.05893e13 | 0.537362 | ||||||||
\(112\) | −3.62698e12 | + | 3.75723e12i | −0.173632 | + | 0.179867i | ||||
\(113\) | 2.36931e12 | 0.107056 | 0.0535281 | − | 0.998566i | \(-0.482953\pi\) | ||||
0.0535281 | + | 0.998566i | \(0.482953\pi\) | |||||||
\(114\) | 5.39255e12 | − | 9.34018e12i | 0.230098 | − | 0.398542i | ||||
\(115\) | 2.11268e11 | + | 3.65927e11i | 0.00851722 | + | 0.0147522i | ||||
\(116\) | −1.29617e12 | − | 2.24503e12i | −0.0493952 | − | 0.0855549i | ||||
\(117\) | 2.55130e12 | − | 4.41898e12i | 0.0919502 | − | 0.159262i | ||||
\(118\) | 8.54450e12 | 0.291376 | ||||||||
\(119\) | 1.24460e13 | + | 4.33743e13i | 0.401768 | + | 1.40016i | ||||
\(120\) | 7.98550e11 | 0.0244132 | ||||||||
\(121\) | 1.66736e13 | − | 2.88795e13i | 0.482974 | − | 0.836536i | ||||
\(122\) | 4.38234e12 | + | 7.59043e12i | 0.120328 | + | 0.208414i | ||||
\(123\) | 3.48982e12 | + | 6.04455e12i | 0.0908699 | + | 0.157391i | ||||
\(124\) | −6.78842e12 | + | 1.17579e13i | −0.167698 | + | 0.290461i | ||||
\(125\) | 1.21859e13 | 0.285722 | ||||||||
\(126\) | 6.75601e12 | + | 2.35447e13i | 0.150412 | + | 0.524184i | ||||
\(127\) | −3.93753e13 | −0.832721 | −0.416360 | − | 0.909200i | \(-0.636694\pi\) | ||||
−0.416360 | + | 0.909200i | \(0.636694\pi\) | |||||||
\(128\) | −2.19902e12 | + | 3.80882e12i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | 1.26623e13 | + | 2.19317e13i | 0.241924 | + | 0.419025i | ||||
\(130\) | 6.69812e11 | + | 1.16015e12i | 0.0121708 | + | 0.0210805i | ||||
\(131\) | −4.20597e13 | + | 7.28495e13i | −0.727114 | + | 1.25940i | 0.230984 | + | 0.972958i | \(0.425806\pi\) |
−0.958098 | + | 0.286441i | \(0.907528\pi\) | |||||||
\(132\) | 2.68209e12 | 0.0441308 | ||||||||
\(133\) | −6.03221e13 | + | 6.24884e13i | −0.945020 | + | 0.978957i | ||||
\(134\) | 5.91143e13 | 0.882087 | ||||||||
\(135\) | 4.30112e12 | − | 7.44976e12i | 0.0611522 | − | 0.105919i | ||||
\(136\) | 1.90014e13 | + | 3.29115e13i | 0.257504 | + | 0.446010i | ||||
\(137\) | −6.66096e13 | − | 1.15371e14i | −0.860703 | − | 1.49078i | −0.871251 | − | 0.490837i | \(-0.836691\pi\) |
0.0105480 | − | 0.999944i | \(-0.496642\pi\) | |||||||
\(138\) | 1.61897e12 | − | 2.80414e12i | 0.0199538 | − | 0.0345609i | ||||
\(139\) | 4.32137e13 | 0.508189 | 0.254094 | − | 0.967179i | \(-0.418223\pi\) | ||||
0.254094 | + | 0.967179i | \(0.418223\pi\) | |||||||
\(140\) | −6.24007e12 | − | 1.55461e12i | −0.0700418 | − | 0.0174497i | ||||
\(141\) | −2.98665e13 | −0.320082 | ||||||||
\(142\) | 2.88080e13 | − | 4.98970e13i | 0.294876 | − | 0.510740i | ||||
\(143\) | 2.24969e12 | + | 3.89658e12i | 0.0220008 | + | 0.0381066i | ||||
\(144\) | 1.03145e13 | + | 1.78652e13i | 0.0964029 | + | 0.166975i | ||||
\(145\) | 1.59614e12 | − | 2.76459e12i | 0.0142619 | − | 0.0247024i | ||||
\(146\) | 1.18211e14 | 1.01010 | ||||||||
\(147\) | 2.06365e12 | + | 5.84787e13i | 0.0168684 | + | 0.478008i | ||||
\(148\) | −7.18179e13 | −0.561735 | ||||||||
\(149\) | 1.03951e14 | − | 1.80049e14i | 0.778251 | − | 1.34797i | −0.154699 | − | 0.987962i | \(-0.549441\pi\) |
0.932949 | − | 0.360008i | \(-0.117226\pi\) | |||||||
\(150\) | −2.30997e13 | − | 4.00099e13i | −0.165582 | − | 0.286797i | ||||
\(151\) | −8.90723e13 | − | 1.54278e14i | −0.611495 | − | 1.05914i | −0.990989 | − | 0.133945i | \(-0.957235\pi\) |
0.379494 | − | 0.925194i | \(-0.376098\pi\) | |||||||
\(152\) | −3.65730e13 | + | 6.33463e13i | −0.240534 | + | 0.416618i | ||||
\(153\) | 1.78251e14 | 1.12341 | ||||||||
\(154\) | −2.09585e13 | − | 5.22145e12i | −0.126612 | − | 0.0315432i | ||||
\(155\) | −1.67189e13 | −0.0968392 | ||||||||
\(156\) | 5.13284e12 | − | 8.89035e12i | 0.0285133 | − | 0.0493866i | ||||
\(157\) | −1.40318e14 | − | 2.43037e14i | −0.747764 | − | 1.29517i | −0.948892 | − | 0.315601i | \(-0.897794\pi\) |
0.201128 | − | 0.979565i | \(-0.435539\pi\) | |||||||
\(158\) | −9.36226e13 | − | 1.62159e14i | −0.478751 | − | 0.829221i | ||||
\(159\) | −6.61822e13 | + | 1.14631e14i | −0.324833 | + | 0.562627i | ||||
\(160\) | −5.41587e12 | −0.0255205 | ||||||||
\(161\) | −1.81101e13 | + | 1.87605e13i | −0.0819507 | + | 0.0848937i | ||||
\(162\) | 5.95422e13 | 0.258808 | ||||||||
\(163\) | −1.56045e14 | + | 2.70278e14i | −0.651674 | + | 1.12873i | 0.331042 | + | 0.943616i | \(0.392600\pi\) |
−0.982717 | + | 0.185117i | \(0.940734\pi\) | |||||||
\(164\) | −2.36684e13 | − | 4.09949e13i | −0.0949914 | − | 0.164530i | ||||
\(165\) | 1.65140e12 | + | 2.86030e12i | 0.00637097 | + | 0.0110348i | ||||
\(166\) | −1.32001e14 | + | 2.28633e14i | −0.489638 | + | 0.848078i | ||||
\(167\) | 5.39544e14 | 1.92473 | 0.962365 | − | 0.271762i | \(-0.0876063\pi\) | ||||
0.962365 | + | 0.271762i | \(0.0876063\pi\) | |||||||
\(168\) | 1.35921e13 | + | 4.73685e13i | 0.0466420 | + | 0.162547i | ||||
\(169\) | −2.85654e14 | −0.943140 | ||||||||
\(170\) | −2.33989e13 | + | 4.05280e13i | −0.0743493 | + | 0.128777i | ||||
\(171\) | 1.71545e14 | + | 2.97124e14i | 0.524690 | + | 0.908789i | ||||
\(172\) | −8.58773e13 | − | 1.48744e14i | −0.252897 | − | 0.438030i | ||||
\(173\) | 7.54207e13 | − | 1.30632e14i | 0.213890 | − | 0.370469i | −0.739038 | − | 0.673663i | \(-0.764720\pi\) |
0.952929 | + | 0.303194i | \(0.0980532\pi\) | |||||||
\(174\) | −2.44627e13 | −0.0668244 | ||||||||
\(175\) | 1.02616e14 | + | 3.57618e14i | 0.270066 | + | 0.941178i | ||||
\(176\) | −1.81903e13 | −0.0461325 | ||||||||
\(177\) | 4.03153e13 | − | 6.98282e13i | 0.0985471 | − | 0.170689i | ||||
\(178\) | −1.40836e14 | − | 2.43935e14i | −0.331881 | − | 0.574835i | ||||
\(179\) | 2.40641e14 | + | 4.16803e14i | 0.546796 | + | 0.947079i | 0.998491 | + | 0.0549068i | \(0.0174862\pi\) |
−0.451695 | + | 0.892172i | \(0.649180\pi\) | |||||||
\(180\) | −1.27015e13 | + | 2.19996e13i | −0.0278345 | + | 0.0482108i | ||||
\(181\) | 9.46675e13 | 0.200120 | 0.100060 | − | 0.994981i | \(-0.468097\pi\) | ||||
0.100060 | + | 0.994981i | \(0.468097\pi\) | |||||||
\(182\) | −5.74170e13 | + | 5.94789e13i | −0.117105 | + | 0.121311i | ||||
\(183\) | 8.27084e13 | 0.162786 | ||||||||
\(184\) | −1.09801e13 | + | 1.90180e13i | −0.0208588 | + | 0.0361285i | ||||
\(185\) | −4.42192e13 | − | 7.65900e13i | −0.0810952 | − | 0.140461i | ||||
\(186\) | 6.40593e13 | + | 1.10954e14i | 0.113435 | + | 0.196476i | ||||
\(187\) | −7.85897e13 | + | 1.36121e14i | −0.134399 | + | 0.232785i | ||||
\(188\) | 2.02559e14 | 0.334599 | ||||||||
\(189\) | 5.15116e14 | + | 1.28332e14i | 0.822059 | + | 0.204802i | ||||
\(190\) | −9.00739e13 | −0.138900 | ||||||||
\(191\) | −4.96741e13 | + | 8.60380e13i | −0.0740309 | + | 0.128225i | −0.900664 | − | 0.434515i | \(-0.856920\pi\) |
0.826634 | + | 0.562741i | \(0.190253\pi\) | |||||||
\(192\) | 2.07512e13 | + | 3.59422e13i | 0.0298941 | + | 0.0517781i | ||||
\(193\) | −5.21901e14 | − | 9.03958e14i | −0.726884 | − | 1.25900i | −0.958194 | − | 0.286120i | \(-0.907634\pi\) |
0.231309 | − | 0.972880i | \(-0.425699\pi\) | |||||||
\(194\) | −1.07327e14 | + | 1.85897e14i | −0.144544 | + | 0.250357i | ||||
\(195\) | 1.26414e13 | 0.0164654 | ||||||||
\(196\) | −1.39960e13 | − | 3.96611e14i | −0.0176335 | − | 0.499689i | ||||
\(197\) | −6.98238e14 | −0.851085 | −0.425543 | − | 0.904938i | \(-0.639917\pi\) | ||||
−0.425543 | + | 0.904938i | \(0.639917\pi\) | |||||||
\(198\) | −4.26605e13 | + | 7.38901e13i | −0.0503155 | + | 0.0871490i | ||||
\(199\) | −2.76476e14 | − | 4.78871e14i | −0.315583 | − | 0.546605i | 0.663979 | − | 0.747752i | \(-0.268867\pi\) |
−0.979561 | + | 0.201147i | \(0.935533\pi\) | |||||||
\(200\) | 1.56665e14 | + | 2.71352e14i | 0.173092 | + | 0.299805i | ||||
\(201\) | 2.78918e14 | − | 4.83100e14i | 0.298333 | − | 0.516729i | ||||
\(202\) | −2.38846e14 | −0.247362 | ||||||||
\(203\) | 1.91158e14 | + | 4.76237e13i | 0.191720 | + | 0.0477638i | ||||
\(204\) | 3.58616e14 | 0.348365 | ||||||||
\(205\) | 2.91459e13 | − | 5.04822e13i | 0.0274270 | − | 0.0475049i | ||||
\(206\) | −1.61631e14 | − | 2.79954e14i | −0.147363 | − | 0.255241i | ||||
\(207\) | 5.15017e13 | + | 8.92036e13i | 0.0455003 | + | 0.0788089i | ||||
\(208\) | −3.48116e13 | + | 6.02955e13i | −0.0298066 | + | 0.0516266i | ||||
\(209\) | −3.02531e14 | −0.251084 | ||||||||
\(210\) | −4.21471e13 | + | 4.36607e13i | −0.0339112 | + | 0.0351289i | ||||
\(211\) | −1.28275e15 | −1.00071 | −0.500354 | − | 0.865821i | \(-0.666797\pi\) | ||||
−0.500354 | + | 0.865821i | \(0.666797\pi\) | |||||||
\(212\) | 4.48856e14 | − | 7.77442e14i | 0.339566 | − | 0.588146i | ||||
\(213\) | −2.71849e14 | − | 4.70856e14i | −0.199462 | − | 0.345478i | ||||
\(214\) | 3.58755e14 | + | 6.21382e14i | 0.255334 | + | 0.442251i | ||||
\(215\) | 1.05752e14 | − | 1.83167e14i | 0.0730192 | − | 0.126473i | ||||
\(216\) | 4.47078e14 | 0.299526 | ||||||||
\(217\) | −2.84572e14 | − | 9.91733e14i | −0.185014 | − | 0.644772i | ||||
\(218\) | 1.96906e15 | 1.24249 | ||||||||
\(219\) | 5.57753e14 | − | 9.66056e14i | 0.341629 | − | 0.591719i | ||||
\(220\) | −1.12000e13 | − | 1.93989e13i | −0.00665993 | − | 0.0115353i | ||||
\(221\) | 3.00802e14 | + | 5.21004e14i | 0.173673 | + | 0.300810i | ||||
\(222\) | −3.38857e14 | + | 5.86918e14i | −0.189986 | + | 0.329066i | ||||
\(223\) | −3.19482e15 | −1.73966 | −0.869830 | − | 0.493351i | \(-0.835772\pi\) | ||||
−0.869830 | + | 0.493351i | \(0.835772\pi\) | |||||||
\(224\) | −9.21836e13 | − | 3.21259e14i | −0.0487575 | − | 0.169920i | ||||
\(225\) | 1.46967e15 | 0.755150 | ||||||||
\(226\) | −7.58179e13 | + | 1.31320e14i | −0.0378501 | + | 0.0655583i | ||||
\(227\) | 1.82339e15 | + | 3.15821e15i | 0.884530 | + | 1.53205i | 0.846251 | + | 0.532784i | \(0.178854\pi\) |
0.0382789 | + | 0.999267i | \(0.487812\pi\) | |||||||
\(228\) | 3.45123e14 | + | 5.97771e14i | 0.162704 | + | 0.281811i | ||||
\(229\) | 6.61331e14 | − | 1.14546e15i | 0.303032 | − | 0.524866i | −0.673789 | − | 0.738923i | \(-0.735335\pi\) |
0.976821 | + | 0.214057i | \(0.0686679\pi\) | |||||||
\(230\) | −2.70423e13 | −0.0120452 | ||||||||
\(231\) | −1.41559e14 | + | 1.46643e14i | −0.0613000 | + | 0.0635014i | ||||
\(232\) | 1.65910e14 | 0.0698553 | ||||||||
\(233\) | −1.95260e15 | + | 3.38200e15i | −0.799464 | + | 1.38471i | 0.120501 | + | 0.992713i | \(0.461550\pi\) |
−0.919965 | + | 0.391999i | \(0.871784\pi\) | |||||||
\(234\) | 1.63283e14 | + | 2.82814e14i | 0.0650186 | + | 0.112616i | ||||
\(235\) | 1.24718e14 | + | 2.16018e14i | 0.0483046 | + | 0.0836660i | ||||
\(236\) | −2.73424e14 | + | 4.73584e14i | −0.103017 | + | 0.178430i | ||||
\(237\) | −1.76695e15 | −0.647680 | ||||||||
\(238\) | −2.80232e15 | − | 6.98150e14i | −0.999465 | − | 0.248999i | ||||
\(239\) | 2.69308e15 | 0.934681 | 0.467341 | − | 0.884077i | \(-0.345212\pi\) | ||||
0.467341 | + | 0.884077i | \(0.345212\pi\) | |||||||
\(240\) | −2.55536e13 | + | 4.42601e13i | −0.00863135 | + | 0.0149499i | ||||
\(241\) | 1.46075e15 | + | 2.53010e15i | 0.480248 | + | 0.831814i | 0.999743 | − | 0.0226595i | \(-0.00721335\pi\) |
−0.519495 | + | 0.854473i | \(0.673880\pi\) | |||||||
\(242\) | 1.06711e15 | + | 1.84829e15i | 0.341514 | + | 0.591520i | ||||
\(243\) | 1.64047e15 | − | 2.84138e15i | 0.511125 | − | 0.885295i | ||||
\(244\) | −5.60939e14 | −0.170170 | ||||||||
\(245\) | 4.14346e14 | − | 2.59124e14i | 0.122401 | − | 0.0765471i | ||||
\(246\) | −4.46697e14 | −0.128509 | ||||||||
\(247\) | −5.78969e14 | + | 1.00280e15i | −0.162228 | + | 0.280987i | ||||
\(248\) | −4.34459e14 | − | 7.52505e14i | −0.118580 | − | 0.205387i | ||||
\(249\) | 1.24564e15 | + | 2.15751e15i | 0.331204 | + | 0.573662i | ||||
\(250\) | −3.89950e14 | + | 6.75413e14i | −0.101018 | + | 0.174968i | ||||
\(251\) | −4.10252e15 | −1.03555 | −0.517776 | − | 0.855516i | \(-0.673240\pi\) | ||||
−0.517776 | + | 0.855516i | \(0.673240\pi\) | |||||||
\(252\) | −1.52117e15 | − | 3.78973e14i | −0.374175 | − | 0.0932191i | ||||
\(253\) | −9.08268e13 | −0.0217736 | ||||||||
\(254\) | 1.26001e15 | − | 2.18240e15i | 0.294411 | − | 0.509935i | ||||
\(255\) | 2.20805e14 | + | 3.82445e14i | 0.0502918 | + | 0.0871080i | ||||
\(256\) | −1.40737e14 | − | 2.43764e14i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | 2.72122e15 | − | 4.71329e15i | 0.589113 | − | 1.02037i | −0.405236 | − | 0.914212i | \(-0.632811\pi\) |
0.994349 | − | 0.106161i | \(-0.0338559\pi\) | |||||||
\(258\) | −1.62077e15 | −0.342132 | ||||||||
\(259\) | 3.79052e15 | − | 3.92664e15i | 0.780280 | − | 0.808301i | ||||
\(260\) | −8.57359e13 | −0.0172122 | ||||||||
\(261\) | 3.89097e14 | − | 6.73936e14i | 0.0761894 | − | 0.131964i | ||||
\(262\) | −2.69182e15 | − | 4.66237e15i | −0.514147 | − | 0.890529i | ||||
\(263\) | −2.38641e15 | − | 4.13338e15i | −0.444665 | − | 0.770182i | 0.553364 | − | 0.832940i | \(-0.313344\pi\) |
−0.998029 | + | 0.0627574i | \(0.980011\pi\) | |||||||
\(264\) | −8.58268e13 | + | 1.48656e14i | −0.0156026 | + | 0.0270245i | ||||
\(265\) | 1.10547e15 | 0.196086 | ||||||||
\(266\) | −1.53315e15 | − | 5.34302e15i | −0.265371 | − | 0.924818i | ||||
\(267\) | −2.65801e15 | −0.448986 | ||||||||
\(268\) | −1.89166e15 | + | 3.27645e15i | −0.311865 | + | 0.540165i | ||||
\(269\) | 3.58399e15 | + | 6.20765e15i | 0.576736 | + | 0.998936i | 0.995851 | + | 0.0910026i | \(0.0290072\pi\) |
−0.419115 | + | 0.907933i | \(0.637660\pi\) | |||||||
\(270\) | 2.75272e14 | + | 4.76785e14i | 0.0432412 | + | 0.0748959i | ||||
\(271\) | 4.94607e15 | − | 8.56684e15i | 0.758508 | − | 1.31377i | −0.185104 | − | 0.982719i | \(-0.559262\pi\) |
0.943612 | − | 0.331055i | \(-0.107404\pi\) | |||||||
\(272\) | −2.43218e15 | −0.364165 | ||||||||
\(273\) | 2.15170e14 | + | 7.49867e14i | 0.0314575 | + | 0.109629i | ||||
\(274\) | 8.52603e15 | 1.21722 | ||||||||
\(275\) | −6.47966e14 | + | 1.12231e15i | −0.0903420 | + | 0.156477i | ||||
\(276\) | 1.03614e14 | + | 1.79465e14i | 0.0141094 | + | 0.0244383i | ||||
\(277\) | 2.92957e15 | + | 5.07417e15i | 0.389660 | + | 0.674911i | 0.992404 | − | 0.123024i | \(-0.0392592\pi\) |
−0.602744 | + | 0.797935i | \(0.705926\pi\) | |||||||
\(278\) | −1.38284e15 | + | 2.39514e15i | −0.179672 | + | 0.311201i | ||||
\(279\) | −4.07564e15 | −0.517330 | ||||||||
\(280\) | 2.85847e14 | − | 2.96112e14i | 0.0354492 | − | 0.0367223i | ||||
\(281\) | −7.54166e15 | −0.913852 | −0.456926 | − | 0.889505i | \(-0.651050\pi\) | ||||
−0.456926 | + | 0.889505i | \(0.651050\pi\) | |||||||
\(282\) | 9.55730e14 | − | 1.65537e15i | 0.113166 | − | 0.196009i | ||||
\(283\) | −3.89732e14 | − | 6.75036e14i | −0.0450977 | − | 0.0781116i | 0.842595 | − | 0.538547i | \(-0.181027\pi\) |
−0.887693 | + | 0.460436i | \(0.847693\pi\) | |||||||
\(284\) | 1.84371e15 | + | 3.19341e15i | 0.208509 | + | 0.361148i | ||||
\(285\) | −4.24994e14 | + | 7.36111e14i | −0.0469777 | + | 0.0813677i | ||||
\(286\) | −2.87961e14 | −0.0311139 | ||||||||
\(287\) | 3.49061e15 | + | 8.69624e14i | 0.368696 | + | 0.0918542i | ||||
\(288\) | −1.32025e15 | −0.136334 | ||||||||
\(289\) | −5.55578e15 | + | 9.62290e15i | −0.560931 | + | 0.971560i | ||||
\(290\) | 1.02153e14 | + | 1.76934e14i | 0.0100847 | + | 0.0174672i | ||||
\(291\) | 1.01280e15 | + | 1.75422e15i | 0.0977732 | + | 0.169348i | ||||
\(292\) | −3.78275e15 | + | 6.55192e15i | −0.357124 | + | 0.618557i | ||||
\(293\) | −1.10609e16 | −1.02130 | −0.510648 | − | 0.859790i | \(-0.670595\pi\) | ||||
−0.510648 | + | 0.859790i | \(0.670595\pi\) | |||||||
\(294\) | −3.30726e15 | − | 1.75694e15i | −0.298683 | − | 0.158672i | ||||
\(295\) | −6.73403e14 | −0.0594883 | ||||||||
\(296\) | 2.29817e15 | − | 3.98055e15i | 0.198603 | − | 0.343991i | ||||
\(297\) | 9.24554e14 | + | 1.60138e15i | 0.0781656 | + | 0.135387i | ||||
\(298\) | 6.65289e15 | + | 1.15231e16i | 0.550306 | + | 0.953158i | ||||
\(299\) | −1.73820e14 | + | 3.01065e14i | −0.0140681 | + | 0.0243667i | ||||
\(300\) | 2.95677e15 | 0.234169 | ||||||||
\(301\) | 1.26651e16 | + | 3.15530e15i | 0.981584 | + | 0.244545i | ||||
\(302\) | 1.14013e16 | 0.864784 | ||||||||
\(303\) | −1.12694e15 | + | 1.95192e15i | −0.0836613 | + | 0.144906i | ||||
\(304\) | −2.34067e15 | − | 4.05416e15i | −0.170084 | − | 0.294593i | ||||
\(305\) | −3.45378e14 | − | 5.98212e14i | −0.0245666 | − | 0.0425506i | ||||
\(306\) | −5.70405e15 | + | 9.87970e15i | −0.397186 | + | 0.687946i | ||||
\(307\) | 1.05695e16 | 0.720536 | 0.360268 | − | 0.932849i | \(-0.382685\pi\) | ||||
0.360268 | + | 0.932849i | \(0.382685\pi\) | |||||||
\(308\) | 9.60074e14 | − | 9.94552e14i | 0.0640804 | − | 0.0663816i | ||||
\(309\) | −3.05049e15 | −0.199361 | ||||||||
\(310\) | 5.35004e14 | − | 9.26654e14i | 0.0342378 | − | 0.0593016i | ||||
\(311\) | −1.12250e16 | − | 1.94423e16i | −0.703467 | − | 1.21844i | −0.967242 | − | 0.253856i | \(-0.918301\pi\) |
0.263775 | − | 0.964584i | \(-0.415032\pi\) | |||||||
\(312\) | 3.28502e14 | + | 5.68982e14i | 0.0201620 | + | 0.0349216i | ||||
\(313\) | 4.10910e14 | − | 7.11717e14i | 0.0247007 | − | 0.0427828i | −0.853411 | − | 0.521239i | \(-0.825470\pi\) |
0.878111 | + | 0.478456i | \(0.158803\pi\) | |||||||
\(314\) | 1.79607e16 | 1.05750 | ||||||||
\(315\) | −5.32450e14 | − | 1.85559e15i | −0.0307086 | − | 0.107019i | ||||
\(316\) | 1.19837e16 | 0.677056 | ||||||||
\(317\) | −1.74077e15 | + | 3.01510e15i | −0.0963508 | + | 0.166885i | −0.910172 | − | 0.414231i | \(-0.864050\pi\) |
0.813821 | + | 0.581116i | \(0.197384\pi\) | |||||||
\(318\) | −4.23566e15 | − | 7.33638e15i | −0.229691 | − | 0.397837i | ||||
\(319\) | 3.43100e14 | + | 5.94266e14i | 0.0182298 | + | 0.0315749i | ||||
\(320\) | 1.73308e14 | − | 3.00178e14i | 0.00902284 | − | 0.0156280i | ||||
\(321\) | 6.77082e15 | 0.345429 | ||||||||
\(322\) | −4.60287e14 | − | 1.60410e15i | −0.0230126 | − | 0.0801988i | ||||
\(323\) | −4.04508e16 | −1.98203 | ||||||||
\(324\) | −1.90535e15 | + | 3.30016e15i | −0.0915024 | + | 0.158487i | ||||
\(325\) | 2.48009e15 | + | 4.29564e15i | 0.116742 | + | 0.202202i | ||||
\(326\) | −9.98688e15 | − | 1.72978e16i | −0.460803 | − | 0.798135i | ||||
\(327\) | 9.29058e15 | − | 1.60918e16i | 0.420225 | − | 0.727852i | ||||
\(328\) | 3.02956e15 | 0.134338 | ||||||||
\(329\) | −1.06910e16 | + | 1.10749e16i | −0.464776 | + | 0.481467i | ||||
\(330\) | −2.11379e14 | −0.00900991 | ||||||||
\(331\) | 9.67752e15 | − | 1.67620e16i | 0.404466 | − | 0.700556i | −0.589793 | − | 0.807554i | \(-0.700791\pi\) |
0.994259 | + | 0.106999i | \(0.0341241\pi\) | |||||||
\(332\) | −8.44807e15 | − | 1.46325e16i | −0.346226 | − | 0.599682i | ||||
\(333\) | −1.07795e16 | − | 1.86707e16i | −0.433223 | − | 0.750365i | ||||
\(334\) | −1.72654e16 | + | 2.99045e16i | −0.680494 | + | 1.17865i | ||||
\(335\) | −4.65887e15 | −0.180090 | ||||||||
\(336\) | −3.06038e15 | − | 7.62440e14i | −0.116030 | − | 0.0289068i | ||||
\(337\) | 3.60727e15 | 0.134148 | 0.0670740 | − | 0.997748i | \(-0.478634\pi\) | ||||
0.0670740 | + | 0.997748i | \(0.478634\pi\) | |||||||
\(338\) | 9.14092e15 | − | 1.58325e16i | 0.333450 | − | 0.577553i | ||||
\(339\) | 7.15460e14 | + | 1.23921e15i | 0.0256028 | + | 0.0443453i | ||||
\(340\) | −1.49753e15 | − | 2.59379e15i | −0.0525729 | − | 0.0910589i | ||||
\(341\) | 1.79692e15 | − | 3.11235e15i | 0.0618905 | − | 0.107198i | ||||
\(342\) | −2.19577e16 | −0.742024 | ||||||||
\(343\) | 2.24234e16 | + | 2.01677e16i | 0.743514 | + | 0.668721i | ||||
\(344\) | 1.09923e16 | 0.357650 | ||||||||
\(345\) | −1.27593e14 | + | 2.20998e14i | −0.00407383 | + | 0.00705609i | ||||
\(346\) | 4.82692e15 | + | 8.36048e15i | 0.151243 | + | 0.261961i | ||||
\(347\) | −1.23542e16 | − | 2.13980e16i | −0.379902 | − | 0.658010i | 0.611145 | − | 0.791518i | \(-0.290709\pi\) |
−0.991048 | + | 0.133508i | \(0.957376\pi\) | |||||||
\(348\) | 7.82808e14 | − | 1.35586e15i | 0.0236260 | − | 0.0409214i | ||||
\(349\) | 6.49301e16 | 1.92345 | 0.961725 | − | 0.274017i | \(-0.0883525\pi\) | ||||
0.961725 | + | 0.274017i | \(0.0883525\pi\) | |||||||
\(350\) | −2.31049e16 | − | 5.75619e15i | −0.671834 | − | 0.167376i | ||||
\(351\) | 7.07747e15 | 0.202014 | ||||||||
\(352\) | 5.82088e14 | − | 1.00821e15i | 0.0163103 | − | 0.0282502i | ||||
\(353\) | 2.68625e16 | + | 4.65273e16i | 0.738944 | + | 1.27989i | 0.952971 | + | 0.303061i | \(0.0980084\pi\) |
−0.214028 | + | 0.976828i | \(0.568658\pi\) | |||||||
\(354\) | 2.58018e15 | + | 4.46901e15i | 0.0696834 | + | 0.120695i | ||||
\(355\) | −2.27040e15 | + | 3.93244e15i | −0.0602029 | + | 0.104275i | ||||
\(356\) | 1.80270e16 | 0.469351 | ||||||||
\(357\) | −1.89276e16 | + | 1.96073e16i | −0.483897 | + | 0.501274i | ||||
\(358\) | −3.08021e16 | −0.773287 | ||||||||
\(359\) | −2.94150e14 | + | 5.09483e14i | −0.00725195 | + | 0.0125607i | −0.869629 | − | 0.493706i | \(-0.835642\pi\) |
0.862377 | + | 0.506267i | \(0.168975\pi\) | |||||||
\(360\) | −8.12896e14 | − | 1.40798e15i | −0.0196820 | − | 0.0340902i | ||||
\(361\) | −1.79024e16 | − | 3.10078e16i | −0.425710 | − | 0.737350i | ||||
\(362\) | −3.02936e15 | + | 5.24701e15i | −0.0707531 | + | 0.122548i | ||||
\(363\) | 2.01397e16 | 0.462019 | ||||||||
\(364\) | −1.45931e15 | − | 5.08569e15i | −0.0328843 | − | 0.114602i | ||||
\(365\) | −9.31636e15 | −0.206226 | ||||||||
\(366\) | −2.64667e15 | + | 4.58416e15i | −0.0575536 | + | 0.0996858i | ||||
\(367\) | 1.71940e16 | + | 2.97809e16i | 0.367323 | + | 0.636221i | 0.989146 | − | 0.146936i | \(-0.0469412\pi\) |
−0.621823 | + | 0.783158i | \(0.713608\pi\) | |||||||
\(368\) | −7.02725e14 | − | 1.21715e15i | −0.0147494 | − | 0.0255467i | ||||
\(369\) | 7.10503e15 | − | 1.23063e16i | 0.146519 | − | 0.253779i | ||||
\(370\) | 5.66006e15 | 0.114686 | ||||||||
\(371\) | 1.88162e16 | + | 6.55743e16i | 0.374628 | + | 1.30558i | ||||
\(372\) | −8.19960e15 | −0.160422 | ||||||||
\(373\) | −5.16753e15 | + | 8.95043e15i | −0.0993518 | + | 0.172082i | −0.911417 | − | 0.411485i | \(-0.865010\pi\) |
0.812065 | + | 0.583567i | \(0.198344\pi\) | |||||||
\(374\) | −5.02974e15 | − | 8.71176e15i | −0.0950342 | − | 0.164604i | ||||
\(375\) | 3.67979e15 | + | 6.37358e15i | 0.0683313 | + | 0.118353i | ||||
\(376\) | −6.48188e15 | + | 1.12270e16i | −0.118299 | + | 0.204899i | ||||
\(377\) | 2.62643e15 | 0.0471137 | ||||||||
\(378\) | −2.35966e16 | + | 2.44440e16i | −0.416057 | + | 0.430998i | ||||
\(379\) | 1.03178e16 | 0.178827 | 0.0894137 | − | 0.995995i | \(-0.471501\pi\) | ||||
0.0894137 | + | 0.995995i | \(0.471501\pi\) | |||||||
\(380\) | 2.88237e15 | − | 4.99240e15i | 0.0491084 | − | 0.0850582i | ||||
\(381\) | −1.18901e16 | − | 2.05943e16i | −0.199148 | − | 0.344934i | ||||
\(382\) | −3.17914e15 | − | 5.50643e15i | −0.0523477 | − | 0.0906689i | ||||
\(383\) | −6.07099e16 | + | 1.05153e17i | −0.982806 | + | 1.70227i | −0.331499 | + | 0.943455i | \(0.607554\pi\) |
−0.651307 | + | 0.758815i | \(0.725779\pi\) | |||||||
\(384\) | −2.65616e15 | −0.0422767 | ||||||||
\(385\) | 1.65177e15 | + | 4.11509e14i | 0.0258496 | + | 0.00643998i | ||||
\(386\) | 6.68033e16 | 1.02797 | ||||||||
\(387\) | 2.57795e16 | − | 4.46515e16i | 0.390080 | − | 0.675639i | ||||
\(388\) | −6.86895e15 | − | 1.18974e16i | −0.102208 | − | 0.177029i | ||||
\(389\) | −4.72294e16 | − | 8.18038e16i | −0.691099 | − | 1.19702i | −0.971478 | − | 0.237129i | \(-0.923793\pi\) |
0.280379 | − | 0.959889i | \(-0.409540\pi\) | |||||||
\(390\) | −4.04526e14 | + | 7.00660e14i | −0.00582139 | + | 0.0100829i | ||||
\(391\) | −1.21443e16 | −0.171879 | ||||||||
\(392\) | 2.24303e16 | + | 1.19158e16i | 0.312230 | + | 0.165868i | ||||
\(393\) | −5.08031e16 | −0.695566 | ||||||||
\(394\) | 2.23436e16 | − | 3.87003e16i | 0.300904 | − | 0.521181i | ||||
\(395\) | 7.37852e15 | + | 1.27800e16i | 0.0977435 | + | 0.169297i | ||||
\(396\) | −2.73027e15 | − | 4.72897e15i | −0.0355784 | − | 0.0616237i | ||||
\(397\) | 3.36900e16 | − | 5.83528e16i | 0.431880 | − | 0.748037i | −0.565156 | − | 0.824984i | \(-0.691184\pi\) |
0.997035 | + | 0.0769469i | \(0.0245172\pi\) | |||||||
\(398\) | 3.53890e16 | 0.446301 | ||||||||
\(399\) | −5.08986e16 | − | 1.26805e16i | −0.631513 | − | 0.157330i | ||||
\(400\) | −2.00532e16 | −0.244790 | ||||||||
\(401\) | 2.92556e16 | − | 5.06722e16i | 0.351375 | − | 0.608599i | −0.635116 | − | 0.772417i | \(-0.719048\pi\) |
0.986491 | + | 0.163818i | \(0.0523810\pi\) | |||||||
\(402\) | 1.78507e16 | + | 3.09184e16i | 0.210954 | + | 0.365382i | ||||
\(403\) | −6.87770e15 | − | 1.19125e16i | −0.0799761 | − | 0.138523i | ||||
\(404\) | 7.64307e15 | − | 1.32382e16i | 0.0874558 | − | 0.151478i | ||||
\(405\) | −4.69260e15 | −0.0528391 | ||||||||
\(406\) | −8.75663e15 | + | 9.07110e15i | −0.0970327 | + | 0.100517i | ||||
\(407\) | 1.90104e16 | 0.207314 | ||||||||
\(408\) | −1.14757e16 | + | 1.98765e16i | −0.123166 | + | 0.213329i | ||||
\(409\) | −7.39497e16 | − | 1.28085e17i | −0.781151 | − | 1.35299i | −0.931272 | − | 0.364325i | \(-0.881300\pi\) |
0.150121 | − | 0.988668i | \(-0.452034\pi\) | |||||||
\(410\) | 1.86534e15 | + | 3.23086e15i | 0.0193938 | + | 0.0335910i | ||||
\(411\) | 4.02282e16 | − | 6.96773e16i | 0.411679 | − | 0.713050i | ||||
\(412\) | 2.06888e16 | 0.208403 | ||||||||
\(413\) | −1.14620e16 | − | 3.99450e16i | −0.113654 | − | 0.396084i | ||||
\(414\) | −6.59222e15 | −0.0643472 | ||||||||
\(415\) | 1.04032e16 | − | 1.80188e16i | 0.0999663 | − | 0.173147i | ||||
\(416\) | −2.22794e15 | − | 3.85891e15i | −0.0210765 | − | 0.0365055i | ||||
\(417\) | 1.30492e16 | + | 2.26019e16i | 0.121535 | + | 0.210504i | ||||
\(418\) | 9.68099e15 | − | 1.67680e16i | 0.0887716 | − | 0.153757i | ||||
\(419\) | −6.30569e16 | −0.569300 | −0.284650 | − | 0.958631i | \(-0.591877\pi\) | ||||
−0.284650 | + | 0.958631i | \(0.591877\pi\) | |||||||
\(420\) | −1.07121e15 | − | 3.73317e15i | −0.00952260 | − | 0.0331862i | ||||
\(421\) | 4.32840e16 | 0.378873 | 0.189437 | − | 0.981893i | \(-0.439334\pi\) | ||||
0.189437 | + | 0.981893i | \(0.439334\pi\) | |||||||
\(422\) | 4.10482e16 | − | 7.10975e16i | 0.353804 | − | 0.612807i | ||||
\(423\) | 3.04031e16 | + | 5.26597e16i | 0.258051 | + | 0.446957i | ||||
\(424\) | 2.87268e16 | + | 4.97563e16i | 0.240109 | + | 0.415882i | ||||
\(425\) | −8.66382e16 | + | 1.50062e17i | −0.713151 | + | 1.23521i | ||||
\(426\) | 3.47966e16 | 0.282082 | ||||||||
\(427\) | 2.96061e16 | − | 3.06693e16i | 0.236374 | − | 0.244863i | ||||
\(428\) | −4.59206e16 | −0.361096 | ||||||||
\(429\) | −1.35868e15 | + | 2.35330e15i | −0.0105231 | + | 0.0182266i | ||||
\(430\) | 6.76810e15 | + | 1.17227e16i | 0.0516323 | + | 0.0894298i | ||||
\(431\) | 7.05949e16 | + | 1.22274e17i | 0.530482 | + | 0.918822i | 0.999367 | + | 0.0355633i | \(0.0113225\pi\) |
−0.468885 | + | 0.883259i | \(0.655344\pi\) | |||||||
\(432\) | −1.43065e16 | + | 2.47796e16i | −0.105898 | + | 0.183421i | ||||
\(433\) | −1.37045e17 | −0.999293 | −0.499646 | − | 0.866230i | \(-0.666537\pi\) | ||||
−0.499646 | + | 0.866230i | \(0.666537\pi\) | |||||||
\(434\) | 6.40737e16 | + | 1.59629e16i | 0.460253 | + | 0.114664i | ||||
\(435\) | 1.92794e15 | 0.0136431 | ||||||||
\(436\) | −6.30099e16 | + | 1.09136e17i | −0.439285 | + | 0.760864i | ||||
\(437\) | −1.16873e16 | − | 2.02431e16i | −0.0802762 | − | 0.139042i | ||||
\(438\) | 3.56962e16 | + | 6.18276e16i | 0.241568 | + | 0.418409i | ||||
\(439\) | −6.67396e16 | + | 1.15596e17i | −0.445004 | + | 0.770770i | −0.998053 | − | 0.0623790i | \(-0.980131\pi\) |
0.553048 | + | 0.833149i | \(0.313465\pi\) | |||||||
\(440\) | 1.43360e15 | 0.00941857 | ||||||||
\(441\) | 1.01007e17 | − | 6.31679e16i | 0.653884 | − | 0.408927i | ||||
\(442\) | −3.85027e16 | −0.245610 | ||||||||
\(443\) | −1.17690e17 | + | 2.03846e17i | −0.739804 | + | 1.28138i | 0.212779 | + | 0.977100i | \(0.431748\pi\) |
−0.952583 | + | 0.304278i | \(0.901585\pi\) | |||||||
\(444\) | −2.16869e16 | − | 3.75627e16i | −0.134341 | − | 0.232685i | ||||
\(445\) | 1.10994e16 | + | 1.92248e16i | 0.0677581 | + | 0.117360i | ||||
\(446\) | 1.02234e17 | − | 1.77075e17i | 0.615063 | − | 1.06532i | ||||
\(447\) | 1.25561e17 | 0.744483 | ||||||||
\(448\) | 2.07559e16 | + | 5.17097e15i | 0.121293 | + | 0.0302179i | ||||
\(449\) | 2.96730e16 | 0.170907 | 0.0854536 | − | 0.996342i | \(-0.472766\pi\) | ||||
0.0854536 | + | 0.996342i | \(0.472766\pi\) | |||||||
\(450\) | −4.70294e16 | + | 8.14574e16i | −0.266986 | + | 0.462433i | ||||
\(451\) | 6.26511e15 | + | 1.08515e16i | 0.0350575 | + | 0.0607214i | ||||
\(452\) | −4.85234e15 | − | 8.40451e15i | −0.0267640 | − | 0.0463567i | ||||
\(453\) | 5.37943e16 | − | 9.31745e16i | 0.292481 | − | 0.506593i | ||||
\(454\) | −2.33395e17 | −1.25091 | ||||||||
\(455\) | 4.52510e15 | − | 4.68761e15i | 0.0239086 | − | 0.0247672i | ||||
\(456\) | −4.41758e16 | −0.230098 | ||||||||
\(457\) | −7.70400e16 | + | 1.33437e17i | −0.395605 | + | 0.685207i | −0.993178 | − | 0.116607i | \(-0.962798\pi\) |
0.597574 | + | 0.801814i | \(0.296132\pi\) | |||||||
\(458\) | 4.23252e16 | + | 7.33093e16i | 0.214276 | + | 0.371136i | ||||
\(459\) | 1.23620e17 | + | 2.14117e17i | 0.617032 | + | 1.06873i | ||||
\(460\) | 8.65353e14 | − | 1.49884e15i | 0.00425861 | − | 0.00737612i | ||||
\(461\) | 2.83415e17 | 1.37520 | 0.687602 | − | 0.726088i | \(-0.258664\pi\) | ||||
0.687602 | + | 0.726088i | \(0.258664\pi\) | |||||||
\(462\) | −3.59788e15 | − | 1.25386e16i | −0.0172137 | − | 0.0599896i | ||||
\(463\) | 9.54079e15 | 0.0450099 | 0.0225049 | − | 0.999747i | \(-0.492836\pi\) | ||||
0.0225049 | + | 0.999747i | \(0.492836\pi\) | |||||||
\(464\) | −5.30910e15 | + | 9.19564e15i | −0.0246976 | + | 0.0427775i | ||||
\(465\) | −5.04860e15 | − | 8.74443e15i | −0.0231594 | − | 0.0401132i | ||||
\(466\) | −1.24966e17 | − | 2.16448e17i | −0.565307 | − | 0.979140i | ||||
\(467\) | 1.07577e17 | − | 1.86329e17i | 0.479911 | − | 0.831230i | −0.519823 | − | 0.854274i | \(-0.674002\pi\) |
0.999734 | + | 0.0230434i | \(0.00733559\pi\) | |||||||
\(468\) | −2.09002e16 | −0.0919502 | ||||||||
\(469\) | −7.92987e16 | − | 2.76356e17i | −0.344067 | − | 1.19907i | ||||
\(470\) | −1.59639e16 | −0.0683130 | ||||||||
\(471\) | 8.47435e16 | − | 1.46780e17i | 0.357660 | − | 0.619485i | ||||
\(472\) | −1.74991e16 | − | 3.03094e16i | −0.0728439 | − | 0.126169i | ||||
\(473\) | 2.27320e16 | + | 3.93730e16i | 0.0933340 | + | 0.161659i | ||||
\(474\) | 5.65424e16 | − | 9.79344e16i | 0.228989 | − | 0.396621i | ||||
\(475\) | −3.33514e17 | −1.33231 | ||||||||
\(476\) | 1.28370e17 | − | 1.32980e17i | 0.505845 | − | 0.524010i | ||||
\(477\) | 2.69485e17 | 1.04753 | ||||||||
\(478\) | −8.61787e16 | + | 1.49266e17i | −0.330460 | + | 0.572373i | ||||
\(479\) | −1.19781e17 | − | 2.07467e17i | −0.453114 | − | 0.784816i | 0.545464 | − | 0.838134i | \(-0.316354\pi\) |
−0.998578 | + | 0.0533184i | \(0.983020\pi\) | |||||||
\(480\) | −1.63543e15 | − | 2.83265e15i | −0.00610329 | − | 0.0105712i | ||||
\(481\) | 3.63812e16 | − | 6.30141e16i | 0.133947 | − | 0.232004i | ||||
\(482\) | −1.86976e17 | −0.679173 | ||||||||
\(483\) | −1.52809e16 | − | 3.80698e15i | −0.0547638 | − | 0.0136435i | ||||
\(484\) | −1.36590e17 | −0.482974 | ||||||||
\(485\) | 8.45861e15 | − | 1.46507e16i | 0.0295106 | − | 0.0511138i | ||||
\(486\) | 1.04990e17 | + | 1.81848e17i | 0.361420 | + | 0.625998i | ||||
\(487\) | 3.20669e16 | + | 5.55414e16i | 0.108923 | + | 0.188660i | 0.915334 | − | 0.402695i | \(-0.131927\pi\) |
−0.806411 | + | 0.591355i | \(0.798593\pi\) | |||||||
\(488\) | 1.79501e16 | − | 3.10904e16i | 0.0601640 | − | 0.104207i | ||||
\(489\) | −1.88484e17 | −0.623399 | ||||||||
\(490\) | 1.10304e15 | + | 3.12574e16i | 0.00360012 | + | 0.102018i | ||||
\(491\) | 2.58459e17 | 0.832457 | 0.416228 | − | 0.909260i | \(-0.363352\pi\) | ||||
0.416228 | + | 0.909260i | \(0.363352\pi\) | |||||||
\(492\) | 1.42943e16 | − | 2.47585e16i | 0.0454349 | − | 0.0786956i | ||||
\(493\) | 4.58752e16 | + | 7.94582e16i | 0.143904 | + | 0.249249i | ||||
\(494\) | −3.70540e16 | − | 6.41794e16i | −0.114712 | − | 0.198688i | ||||
\(495\) | 3.36213e15 | − | 5.82337e15i | 0.0102726 | − | 0.0177927i | ||||
\(496\) | 5.56107e16 | 0.167698 | ||||||||
\(497\) | −2.71910e17 | − | 6.77416e16i | −0.809298 | − | 0.201623i | ||||
\(498\) | −1.59442e17 | −0.468393 | ||||||||
\(499\) | 2.40740e15 | − | 4.16974e15i | 0.00698064 | − | 0.0120908i | −0.862514 | − | 0.506033i | \(-0.831111\pi\) |
0.869495 | + | 0.493942i | \(0.164445\pi\) | |||||||
\(500\) | −2.49568e16 | − | 4.32265e16i | −0.0714305 | − | 0.123721i | ||||
\(501\) | 1.62926e17 | + | 2.82196e17i | 0.460305 | + | 0.797271i | ||||
\(502\) | 1.31281e17 | − | 2.27385e17i | 0.366123 | − | 0.634144i | ||||
\(503\) | −2.25171e17 | −0.619899 | −0.309949 | − | 0.950753i | \(-0.600312\pi\) | ||||
−0.309949 | + | 0.950753i | \(0.600312\pi\) | |||||||
\(504\) | 6.96823e16 | − | 7.21847e16i | 0.189376 | − | 0.196176i | ||||
\(505\) | 1.88237e16 | 0.0505024 | ||||||||
\(506\) | 2.90646e15 | − | 5.03413e15i | 0.00769814 | − | 0.0133336i | ||||
\(507\) | −8.62588e16 | − | 1.49405e17i | −0.225555 | − | 0.390672i | ||||
\(508\) | 8.06405e16 | + | 1.39674e17i | 0.208180 | + | 0.360579i | ||||
\(509\) | −4.46192e16 | + | 7.72828e16i | −0.113725 | + | 0.196978i | −0.917269 | − | 0.398267i | \(-0.869612\pi\) |
0.803544 | + | 0.595245i | \(0.202945\pi\) | |||||||
\(510\) | −2.82630e16 | −0.0711234 | ||||||||
\(511\) | −1.58574e17 | − | 5.52629e17i | −0.394000 | − | 1.37309i | ||||
\(512\) | 1.80144e16 | 0.0441942 | ||||||||
\(513\) | −2.37938e17 | + | 4.12121e17i | −0.576370 | + | 0.998302i | ||||
\(514\) | 1.74158e17 | + | 3.01651e17i | 0.416566 | + | 0.721513i | ||||
\(515\) | 1.27384e16 | + | 2.20635e16i | 0.0300862 | + | 0.0521108i | ||||
\(516\) | 5.18647e16 | − | 8.98324e16i | 0.120962 | − | 0.209512i | ||||
\(517\) | −5.36180e16 | −0.123487 | ||||||||
\(518\) | 9.63400e16 | + | 3.35744e17i | 0.219110 | + | 0.763599i | ||||
\(519\) | 9.10992e16 | 0.204610 | ||||||||
\(520\) | 2.74355e15 | − | 4.75197e15i | 0.00608542 | − | 0.0105403i | ||||
\(521\) | 1.50346e17 | + | 2.60408e17i | 0.329343 | + | 0.570438i | 0.982382 | − | 0.186886i | \(-0.0598396\pi\) |
−0.653039 | + | 0.757324i | \(0.726506\pi\) | |||||||
\(522\) | 2.49022e16 | + | 4.31319e16i | 0.0538741 | + | 0.0933126i | ||||
\(523\) | −1.87878e17 | + | 3.25414e17i | −0.401435 | + | 0.695306i | −0.993899 | − | 0.110291i | \(-0.964822\pi\) |
0.592464 | + | 0.805597i | \(0.298155\pi\) | |||||||
\(524\) | 3.44553e17 | 0.727114 | ||||||||
\(525\) | −1.56057e17 | + | 1.61661e17i | −0.325272 | + | 0.336953i | ||||
\(526\) | 3.05461e17 | 0.628851 | ||||||||
\(527\) | 2.40262e17 | − | 4.16146e17i | 0.488558 | − | 0.846207i | ||||
\(528\) | −5.49291e15 | − | 9.51400e15i | −0.0110327 | − | 0.0191092i | ||||
\(529\) | 2.48509e17 | + | 4.30431e17i | 0.493039 | + | 0.853968i | ||||
\(530\) | −3.53749e16 | + | 6.12712e16i | −0.0693270 | + | 0.120078i | ||||
\(531\) | −1.64158e17 | −0.317796 | ||||||||
\(532\) | 3.45201e17 | + | 8.60009e16i | 0.660156 | + | 0.164466i | ||||
\(533\) | 4.79594e16 | 0.0906039 | ||||||||
\(534\) | 8.50563e16 | − | 1.47322e17i | 0.158741 | − | 0.274947i | ||||
\(535\) | −2.82739e16 | − | 4.89719e16i | −0.0521299 | − | 0.0902916i | ||||
\(536\) | −1.21066e17 | − | 2.09693e17i | −0.220522 | − | 0.381955i | ||||
\(537\) | −1.45333e17 | + | 2.51724e17i | −0.261536 | + | 0.452993i | ||||
\(538\) | −4.58751e17 | −0.815628 | ||||||||
\(539\) | 3.70478e15 | + | 1.04984e17i | 0.00650781 | + | 0.184415i | ||||
\(540\) | −3.52348e16 | −0.0611522 | ||||||||
\(541\) | 4.10437e17 | − | 7.10898e17i | 0.703824 | − | 1.21906i | −0.263290 | − | 0.964717i | \(-0.584808\pi\) |
0.967114 | − | 0.254343i | \(-0.0818591\pi\) | |||||||
\(542\) | 3.16548e17 | + | 5.48278e17i | 0.536346 | + | 0.928978i | ||||
\(543\) | 2.85867e16 | + | 4.95137e16i | 0.0478592 | + | 0.0828946i | ||||
\(544\) | 7.78299e16 | − | 1.34805e17i | 0.128752 | − | 0.223005i | ||||
\(545\) | −1.55184e17 | −0.253671 | ||||||||
\(546\) | −4.84473e16 | − | 1.20698e16i | −0.0782559 | − | 0.0194961i | ||||
\(547\) | 2.03903e17 | 0.325466 | 0.162733 | − | 0.986670i | \(-0.447969\pi\) | ||||
0.162733 | + | 0.986670i | \(0.447969\pi\) | |||||||
\(548\) | −2.72833e17 | + | 4.72561e17i | −0.430352 | + | 0.745391i | ||||
\(549\) | −8.41942e16 | − | 1.45829e17i | −0.131239 | − | 0.227312i | ||||
\(550\) | −4.14698e16 | − | 7.18278e16i | −0.0638814 | − | 0.110646i | ||||
\(551\) | −8.82983e16 | + | 1.52937e17i | −0.134421 | + | 0.232824i | ||||
\(552\) | −1.32626e16 | −0.0199538 | ||||||||
\(553\) | −6.32494e17 | + | 6.55208e17i | −0.940466 | + | 0.974240i | ||||
\(554\) | −3.74985e17 | −0.551062 | ||||||||
\(555\) | 2.67058e16 | − | 4.62557e16i | 0.0387883 | − | 0.0671833i | ||||
\(556\) | −8.85016e16 | − | 1.53289e17i | −0.127047 | − | 0.220052i | ||||
\(557\) | −3.39433e17 | − | 5.87916e17i | −0.481610 | − | 0.834173i | 0.518167 | − | 0.855279i | \(-0.326615\pi\) |
−0.999777 | + | 0.0211061i | \(0.993281\pi\) | |||||||
\(558\) | 1.30420e17 | − | 2.25895e17i | 0.182904 | − | 0.316799i | ||||
\(559\) | 1.74013e17 | 0.241216 | ||||||||
\(560\) | 7.26511e15 | + | 2.53189e16i | 0.00995451 | + | 0.0346914i | ||||
\(561\) | −9.49269e16 | −0.128567 | ||||||||
\(562\) | 2.41333e17 | − | 4.18001e17i | 0.323095 | − | 0.559618i | ||||
\(563\) | −2.22241e17 | − | 3.84933e17i | −0.294117 | − | 0.509425i | 0.680662 | − | 0.732597i | \(-0.261692\pi\) |
−0.974779 | + | 0.223172i | \(0.928359\pi\) | |||||||
\(564\) | 6.11667e16 | + | 1.05944e17i | 0.0800204 | + | 0.138599i | ||||
\(565\) | 5.97530e15 | − | 1.03495e16i | 0.00772761 | − | 0.0133846i | ||||
\(566\) | 4.98858e16 | 0.0637778 | ||||||||
\(567\) | −7.98727e16 | − | 2.78356e17i | −0.100951 | − | 0.351812i | ||||
\(568\) | −2.35995e17 | −0.294876 | ||||||||
\(569\) | 1.13051e17 | − | 1.95810e17i | 0.139651 | − | 0.241883i | −0.787714 | − | 0.616042i | \(-0.788735\pi\) |
0.927365 | + | 0.374159i | \(0.122069\pi\) | |||||||
\(570\) | −2.71996e16 | − | 4.71111e16i | −0.0332182 | − | 0.0575356i | ||||
\(571\) | −4.84550e17 | − | 8.39266e17i | −0.585065 | − | 1.01336i | −0.994867 | − | 0.101188i | \(-0.967736\pi\) |
0.409802 | − | 0.912174i | \(-0.365598\pi\) | |||||||
\(572\) | 9.21474e15 | − | 1.59604e16i | 0.0110004 | − | 0.0190533i | ||||
\(573\) | −6.00003e16 | −0.0708188 | ||||||||
\(574\) | −1.59899e17 | + | 1.65641e17i | −0.186603 | + | 0.193304i | ||||
\(575\) | −1.00129e17 | −0.115536 | ||||||||
\(576\) | 4.22480e16 | − | 7.31757e16i | 0.0482015 | − | 0.0834874i | ||||
\(577\) | 1.50341e17 | + | 2.60398e17i | 0.169604 | + | 0.293762i | 0.938281 | − | 0.345875i | \(-0.112418\pi\) |
−0.768677 | + | 0.639637i | \(0.779085\pi\) | |||||||
\(578\) | −3.55570e17 | − | 6.15865e17i | −0.396638 | − | 0.686997i | ||||
\(579\) | 3.15197e17 | − | 5.45937e17i | 0.347673 | − | 0.602187i | ||||
\(580\) | −1.30755e16 | −0.0142619 | ||||||||
\(581\) | 1.24592e18 | + | 3.10399e17i | 1.34383 | + | 0.334792i | ||||
\(582\) | −1.29639e17 | −0.138272 | ||||||||
\(583\) | −1.18814e17 | + | 2.05791e17i | −0.125320 | + | 0.217061i | ||||
\(584\) | −2.42096e17 | − | 4.19323e17i | −0.252525 | − | 0.437386i | ||||
\(585\) | −1.28685e16 | − | 2.22890e16i | −0.0132744 | − | 0.0229920i | ||||
\(586\) | 3.53950e17 | − | 6.13059e17i | 0.361083 | − | 0.625414i | ||||
\(587\) | 1.77519e18 | 1.79101 | 0.895503 | − | 0.445055i | \(-0.146816\pi\) | ||||
0.895503 | + | 0.445055i | \(0.146816\pi\) | |||||||
\(588\) | 2.03212e17 | − | 1.27085e17i | 0.202767 | − | 0.126806i | ||||
\(589\) | 9.24889e17 | 0.912725 | ||||||||
\(590\) | 2.15489e16 | − | 3.73238e16i | 0.0210323 | − | 0.0364290i | ||||
\(591\) | −2.10847e17 | − | 3.65198e17i | −0.203540 | − | 0.352541i | ||||
\(592\) | 1.47083e17 | + | 2.54755e17i | 0.140434 | + | 0.243238i | ||||
\(593\) | −1.05330e18 | + | 1.82438e18i | −0.994714 | + | 1.72289i | −0.408427 | + | 0.912791i | \(0.633923\pi\) |
−0.586287 | + | 0.810104i | \(0.699411\pi\) | |||||||
\(594\) | −1.18343e17 | −0.110543 | ||||||||
\(595\) | 2.20854e17 | + | 5.50221e16i | 0.204054 | + | 0.0508366i | ||||
\(596\) | −8.51570e17 | −0.778251 | ||||||||
\(597\) | 1.66975e17 | − | 2.89209e17i | 0.150945 | − | 0.261444i | ||||
\(598\) | −1.11245e16 | − | 1.92682e16i | −0.00994768 | − | 0.0172299i | ||||
\(599\) | −2.35210e17 | − | 4.07396e17i | −0.208057 | − | 0.360365i | 0.743046 | − | 0.669241i | \(-0.233381\pi\) |
−0.951102 | + | 0.308876i | \(0.900047\pi\) | |||||||
\(600\) | −9.46165e16 | + | 1.63881e17i | −0.0827911 | + | 0.143398i | ||||
\(601\) | 1.26028e18 | 1.09090 | 0.545449 | − | 0.838144i | \(-0.316359\pi\) | ||||
0.545449 | + | 0.838144i | \(0.316359\pi\) | |||||||
\(602\) | −5.80169e17 | + | 6.01003e17i | −0.496795 | + | 0.514635i | ||||
\(603\) | −1.13571e18 | −0.962070 | ||||||||
\(604\) | −3.64840e17 | + | 6.31922e17i | −0.305747 | + | 0.529570i | ||||
\(605\) | −8.41003e16 | − | 1.45666e17i | −0.0697248 | − | 0.120767i | ||||
\(606\) | −7.21243e16 | − | 1.24923e17i | −0.0591574 | − | 0.102464i | ||||
\(607\) | −1.46272e17 | + | 2.53351e17i | −0.118696 | + | 0.205587i | −0.919251 | − | 0.393672i | \(-0.871205\pi\) |
0.800555 | + | 0.599259i | \(0.204538\pi\) | |||||||
\(608\) | 2.99606e17 | 0.240534 | ||||||||
\(609\) | 3.28155e16 | + | 1.14362e17i | 0.0260655 | + | 0.0908383i | ||||
\(610\) | 4.42083e16 | 0.0347424 | ||||||||
\(611\) | −1.02611e17 | + | 1.77728e17i | −0.0797862 | + | 0.138194i | ||||
\(612\) | −3.65059e17 | − | 6.32301e17i | −0.280853 | − | 0.486451i | ||||
\(613\) | 3.48094e17 | + | 6.02916e17i | 0.264974 | + | 0.458949i | 0.967557 | − | 0.252653i | \(-0.0813033\pi\) |
−0.702583 | + | 0.711602i | \(0.747970\pi\) | |||||||
\(614\) | −3.38224e17 | + | 5.85822e17i | −0.254748 | + | 0.441236i | ||||
\(615\) | 3.52048e16 | 0.0262369 | ||||||||
\(616\) | 2.44013e16 | + | 8.50384e16i | 0.0179944 | + | 0.0627105i | ||||
\(617\) | −1.58841e18 | −1.15907 | −0.579535 | − | 0.814947i | \(-0.696766\pi\) | ||||
−0.579535 | + | 0.814947i | \(0.696766\pi\) | |||||||
\(618\) | 9.76157e16 | − | 1.69075e17i | 0.0704847 | − | 0.122083i | ||||
\(619\) | 7.74130e17 | + | 1.34083e18i | 0.553127 | + | 0.958044i | 0.998047 | + | 0.0624732i | \(0.0198988\pi\) |
−0.444920 | + | 0.895570i | \(0.646768\pi\) | |||||||
\(620\) | 3.42403e16 | + | 5.93059e16i | 0.0242098 | + | 0.0419326i | ||||
\(621\) | −7.14346e16 | + | 1.23728e17i | −0.0499820 | + | 0.0865713i | ||||
\(622\) | 1.43680e18 | 0.994853 | ||||||||
\(623\) | −9.51456e17 | + | 9.85624e17i | −0.651953 | + | 0.675365i | ||||
\(624\) | −4.20483e16 | −0.0285133 | ||||||||
\(625\) | −6.98798e17 | + | 1.21035e18i | −0.468955 | + | 0.812254i | ||||
\(626\) | 2.62982e16 | + | 4.55499e16i | 0.0174660 | + | 0.0302520i | ||||
\(627\) | −9.13553e16 | − | 1.58232e17i | −0.0600474 | − | 0.104005i | ||||
\(628\) | −5.74741e17 | + | 9.95481e17i | −0.373882 | + | 0.647583i | ||||
\(629\) | 2.54185e18 | 1.63652 | ||||||||
\(630\) | 1.19885e17 | + | 2.98674e16i | 0.0763928 | + | 0.0190320i | ||||
\(631\) | 1.59070e18 | 1.00322 | 0.501612 | − | 0.865092i | \(-0.332740\pi\) | ||||
0.501612 | + | 0.865092i | \(0.332740\pi\) | |||||||
\(632\) | −3.83478e17 | + | 6.64204e17i | −0.239376 | + | 0.414611i | ||||
\(633\) | −3.87353e17 | − | 6.70916e17i | −0.239322 | − | 0.414519i | ||||
\(634\) | −1.11409e17 | − | 1.92966e17i | −0.0681303 | − | 0.118005i | ||||
\(635\) | −9.93029e16 | + | 1.71998e17i | −0.0601080 | + | 0.104110i | ||||
\(636\) | 5.42165e17 | 0.324833 | ||||||||
\(637\) | 3.55082e17 | + | 1.88633e17i | 0.210583 | + | 0.111869i | ||||
\(638\) | −4.39168e16 | −0.0257808 | ||||||||
\(639\) | −5.53465e17 | + | 9.58629e17i | −0.321614 | + | 0.557051i | ||||
\(640\) | 1.10917e16 | + | 1.92114e16i | 0.00638011 | + | 0.0110507i | ||||
\(641\) | −1.07230e18 | − | 1.85727e18i | −0.610573 | − | 1.05754i | −0.991144 | − | 0.132792i | \(-0.957606\pi\) |
0.380571 | − | 0.924752i | \(-0.375728\pi\) | |||||||
\(642\) | −2.16666e17 | + | 3.75277e17i | −0.122128 | + | 0.211531i | ||||
\(643\) | −6.80973e17 | −0.379978 | −0.189989 | − | 0.981786i | \(-0.560845\pi\) | ||||
−0.189989 | + | 0.981786i | \(0.560845\pi\) | |||||||
\(644\) | 1.03637e17 | + | 2.58195e16i | 0.0572477 | + | 0.0142623i | ||||
\(645\) | 1.27735e17 | 0.0698510 | ||||||||
\(646\) | 1.29443e18 | − | 2.24201e18i | 0.700754 | − | 1.21374i | ||||
\(647\) | −9.40400e17 | − | 1.62882e18i | −0.504005 | − | 0.872963i | −0.999989 | − | 0.00463096i | \(-0.998526\pi\) |
0.495984 | − | 0.868332i | \(-0.334807\pi\) | |||||||
\(648\) | −1.21942e17 | − | 2.11210e17i | −0.0647019 | − | 0.112067i | ||||
\(649\) | 7.23762e16 | − | 1.25359e17i | 0.0380194 | − | 0.0658515i | ||||
\(650\) | −3.17452e17 | −0.165098 | ||||||||
\(651\) | 4.32771e17 | − | 4.48313e17i | 0.222834 | − | 0.230837i | ||||
\(652\) | 1.27832e18 | 0.651674 | ||||||||
\(653\) | 1.61072e18 | − | 2.78984e18i | 0.812987 | − | 1.40813i | −0.0977777 | − | 0.995208i | \(-0.531173\pi\) |
0.910764 | − | 0.412926i | \(-0.135493\pi\) | |||||||
\(654\) | 5.94597e17 | + | 1.02987e18i | 0.297144 | + | 0.514669i | ||||
\(655\) | 2.12146e17 | + | 3.67447e17i | 0.104970 | + | 0.181814i | ||||
\(656\) | −9.69459e16 | + | 1.67915e17i | −0.0474957 | + | 0.0822650i | ||||
\(657\) | −2.27109e18 | −1.10169 | ||||||||
\(658\) | −2.71722e17 | − | 9.46950e17i | −0.130514 | − | 0.454840i | ||||
\(659\) | −1.43576e18 | −0.682853 | −0.341426 | − | 0.939909i | \(-0.610910\pi\) | ||||
−0.341426 | + | 0.939909i | \(0.610910\pi\) | |||||||
\(660\) | 6.76412e15 | − | 1.17158e16i | 0.00318548 | − | 0.00551742i | ||||
\(661\) | −1.27907e18 | − | 2.21541e18i | −0.596463 | − | 1.03310i | −0.993339 | − | 0.115232i | \(-0.963239\pi\) |
0.396875 | − | 0.917872i | \(-0.370094\pi\) | |||||||
\(662\) | 6.19361e17 | + | 1.07277e18i | 0.286001 | + | 0.495368i | ||||
\(663\) | −1.81666e17 | + | 3.14655e17i | −0.0830686 | + | 0.143879i | ||||
\(664\) | 1.08135e18 | 0.489638 | ||||||||
\(665\) | 1.20829e17 | + | 4.21090e17i | 0.0541791 | + | 0.188814i | ||||
\(666\) | 1.37978e18 | 0.612671 | ||||||||
\(667\) | −2.65092e16 | + | 4.59153e16i | −0.0116568 | + | 0.0201901i | ||||
\(668\) | −1.10499e18 | − | 1.91389e18i | −0.481182 | − | 0.833432i | ||||
\(669\) | −9.64739e17 | − | 1.67098e18i | −0.416045 | − | 0.720611i | ||||
\(670\) | 1.49084e17 | − | 2.58221e17i | 0.0636714 | − | 0.110282i | ||||
\(671\) | 1.48482e17 | 0.0628027 | ||||||||
\(672\) | 1.40191e17 | − | 1.45225e17i | 0.0587245 | − | 0.0608334i | ||||
\(673\) | −3.27500e18 | −1.35867 | −0.679334 | − | 0.733829i | \(-0.737731\pi\) | ||||
−0.679334 | + | 0.733829i | \(0.737731\pi\) | |||||||
\(674\) | −1.15433e17 | + | 1.99935e17i | −0.0474285 | + | 0.0821486i | ||||
\(675\) | 1.01924e18 | + | 1.76538e18i | 0.414765 | + | 0.718394i | ||||
\(676\) | 5.85019e17 | + | 1.01328e18i | 0.235785 | + | 0.408392i | ||||
\(677\) | 1.84721e18 | − | 3.19946e18i | 0.737377 | − | 1.27717i | −0.216295 | − | 0.976328i | \(-0.569397\pi\) |
0.953673 | − | 0.300847i | \(-0.0972693\pi\) | |||||||
\(678\) | −9.15789e16 | −0.0362078 | ||||||||
\(679\) | 1.01303e18 | + | 2.52379e17i | 0.396706 | + | 0.0988324i | ||||
\(680\) | 1.91684e17 | 0.0743493 | ||||||||
\(681\) | −1.10122e18 | + | 1.90737e18i | −0.423076 | + | 0.732789i | ||||
\(682\) | 1.15003e17 | + | 1.99190e17i | 0.0437632 | + | 0.0758001i | ||||
\(683\) | −4.10143e17 | − | 7.10389e17i | −0.154597 | − | 0.267770i | 0.778315 | − | 0.627874i | \(-0.216075\pi\) |
−0.932912 | + | 0.360104i | \(0.882741\pi\) | |||||||
\(684\) | 7.02647e17 | − | 1.21702e18i | 0.262345 | − | 0.454395i | ||||
\(685\) | −6.71948e17 | −0.248512 | ||||||||
\(686\) | −1.83536e18 | + | 5.97463e17i | −0.672378 | + | 0.218879i | ||||
\(687\) | 7.98808e17 | 0.289884 | ||||||||
\(688\) | −3.51753e17 | + | 6.09255e17i | −0.126448 | + | 0.219015i | ||||
\(689\) | 4.54759e17 | + | 7.87666e17i | 0.161941 | + | 0.280490i | ||||
\(690\) | −8.16596e15 | − | 1.41439e16i | −0.00288064 | − | 0.00498941i | ||||
\(691\) | −8.84769e16 | + | 1.53247e17i | −0.0309188 | + | 0.0535529i | −0.881071 | − | 0.472984i | \(-0.843177\pi\) |
0.850152 | + | 0.526537i | \(0.176510\pi\) | |||||||
\(692\) | −6.17846e17 | −0.213890 | ||||||||
\(693\) | 4.02659e17 | + | 1.00315e17i | 0.138093 | + | 0.0344034i | ||||
\(694\) | 1.58133e18 | 0.537263 | ||||||||
\(695\) | 1.08983e17 | − | 1.88764e17i | 0.0366824 | − | 0.0635359i | ||||
\(696\) | 5.00997e16 | + | 8.67752e16i | 0.0167061 | + | 0.0289358i | ||||
\(697\) | 8.37695e17 | + | 1.45093e18i | 0.276741 | + | 0.479329i | ||||
\(698\) | −2.07776e18 | + | 3.59879e18i | −0.680042 | + | 1.17787i | ||||
\(699\) | −2.35850e18 | −0.764777 | ||||||||
\(700\) | 1.05840e18 | − | 1.09641e18i | 0.340026 | − | 0.352236i | ||||
\(701\) | 2.93632e17 | 0.0934624 | 0.0467312 | − | 0.998908i | \(-0.485120\pi\) | ||||
0.0467312 | + | 0.998908i | \(0.485120\pi\) | |||||||
\(702\) | −2.26479e17 | + | 3.92273e17i | −0.0714228 | + | 0.123708i | ||||
\(703\) | 2.44621e18 | + | 4.23696e18i | 0.764335 | + | 1.32387i | ||||
\(704\) | 3.72537e16 | + | 6.45252e16i | 0.0115331 | + | 0.0199759i | ||||
\(705\) | −7.53223e16 | + | 1.30462e17i | −0.0231044 | + | 0.0400179i | ||||
\(706\) | −3.43840e18 | −1.04502 | ||||||||
\(707\) | 3.20399e17 | + | 1.11659e18i | 0.0964862 | + | 0.336254i | ||||
\(708\) | −3.30263e17 | −0.0985471 | ||||||||
\(709\) | 1.26737e18 | − | 2.19514e18i | 0.374716 | − | 0.649027i | −0.615569 | − | 0.788083i | \(-0.711074\pi\) |
0.990284 | + | 0.139056i | \(0.0444070\pi\) | |||||||
\(710\) | −1.45305e17 | − | 2.51676e17i | −0.0425699 | − | 0.0737332i | ||||
\(711\) | 1.79869e18 | + | 3.11543e18i | 0.522162 | + | 0.904411i | ||||
\(712\) | −5.76863e17 | + | 9.99156e17i | −0.165941 | + | 0.287418i | ||||
\(713\) | 2.77673e17 | 0.0791502 | ||||||||
\(714\) | −4.81065e17 | − | 1.67651e18i | −0.135883 | − | 0.473552i | ||||
\(715\) | 2.26946e16 | 0.00635232 | ||||||||
\(716\) | 9.85667e17 | − | 1.70723e18i | 0.273398 | − | 0.473540i | ||||
\(717\) | 8.13231e17 | + | 1.40856e18i | 0.223532 | + | 0.387168i | ||||
\(718\) | −1.88256e16 | − | 3.26069e16i | −0.00512790 | − | 0.00888179i | ||||
\(719\) | 2.44449e18 | − | 4.23397e18i | 0.659857 | − | 1.14291i | −0.320796 | − | 0.947148i | \(-0.603950\pi\) |
0.980652 | − | 0.195757i | \(-0.0627164\pi\) | |||||||
\(720\) | 1.04051e17 | 0.0278345 | ||||||||
\(721\) | −1.09195e18 | + | 1.13116e18i | −0.289483 | + | 0.299878i | ||||
\(722\) | 2.29150e18 | 0.602044 | ||||||||
\(723\) | −8.82206e17 | + | 1.52803e18i | −0.229705 | + | 0.397861i | ||||
\(724\) | −1.93879e17 | − | 3.35808e17i | −0.0500300 | − | 0.0866544i | ||||
\(725\) | 3.78237e17 | + | 6.55126e17i | 0.0967314 | + | 0.167544i | ||||
\(726\) | −6.44470e17 | + | 1.11625e18i | −0.163348 | + | 0.282928i | ||||
\(727\) | −3.85989e18 | −0.969618 | −0.484809 | − | 0.874620i | \(-0.661111\pi\) | ||||
−0.484809 | + | 0.874620i | \(0.661111\pi\) | |||||||
\(728\) | 3.28576e17 | + | 8.18590e16i | 0.0818053 | + | 0.0203804i | ||||
\(729\) | 4.98217e17 | 0.122939 | ||||||||
\(730\) | 2.98124e17 | − | 5.16365e17i | 0.0729118 | − | 0.126287i | ||||
\(731\) | 3.03945e18 | + | 5.26448e18i | 0.736770 | + | 1.27612i | ||||
\(732\) | −1.69387e17 | − | 2.93387e17i | −0.0406965 | − | 0.0704885i | ||||
\(733\) | 2.53437e18 | − | 4.38966e18i | 0.603524 | − | 1.04533i | −0.388759 | − | 0.921340i | \(-0.627096\pi\) |
0.992283 | − | 0.123995i | \(-0.0395706\pi\) | |||||||
\(734\) | −2.20083e18 | −0.519473 | ||||||||
\(735\) | 2.60649e17 | + | 1.38467e17i | 0.0609802 | + | 0.0323950i | ||||
\(736\) | 8.99487e16 | 0.0208588 | ||||||||
\(737\) | 5.00727e17 | − | 8.67285e17i | 0.115097 | − | 0.199353i | ||||
\(738\) | 4.54722e17 | + | 7.87602e17i | 0.103605 | + | 0.179449i | ||||
\(739\) | 2.42667e18 | + | 4.20311e18i | 0.548052 | + | 0.949254i | 0.998408 | + | 0.0564049i | \(0.0179638\pi\) |
−0.450356 | + | 0.892849i | \(0.648703\pi\) | |||||||
\(740\) | −1.81122e17 | + | 3.13712e17i | −0.0405476 | + | 0.0702305i | ||||
\(741\) | −6.99325e17 | −0.155189 | ||||||||
\(742\) | −4.23661e18 | − | 1.05548e18i | −0.931951 | − | 0.232180i | ||||
\(743\) | 6.06538e17 | 0.132261 | 0.0661303 | − | 0.997811i | \(-0.478935\pi\) | ||||
0.0661303 | + | 0.997811i | \(0.478935\pi\) | |||||||
\(744\) | 2.62387e17 | − | 4.54468e17i | 0.0567177 | − | 0.0982379i | ||||
\(745\) | −5.24323e17 | − | 9.08153e17i | −0.112353 | − | 0.194600i | ||||
\(746\) | −3.30722e17 | − | 5.72827e17i | −0.0702523 | − | 0.121681i | ||||
\(747\) | 2.53603e18 | − | 4.39253e18i | 0.534036 | − | 0.924977i | ||||
\(748\) | 6.43807e17 | 0.134399 | ||||||||
\(749\) | 2.42367e18 | − | 2.51071e18i | 0.501582 | − | 0.519594i | ||||
\(750\) | −4.71013e17 | −0.0966350 | ||||||||
\(751\) | −3.31064e18 | + | 5.73420e18i | −0.673369 | + | 1.16631i | 0.303574 | + | 0.952808i | \(0.401820\pi\) |
−0.976943 | + | 0.213501i | \(0.931513\pi\) | |||||||
\(752\) | −4.14841e17 | − | 7.18525e17i | −0.0836499 | − | 0.144886i | ||||
\(753\) | −1.23884e18 | − | 2.14573e18i | −0.247655 | − | 0.428951i | ||||
\(754\) | −8.40457e16 | + | 1.45572e17i | −0.0166572 | + | 0.0288511i | ||||
\(755\) | −8.98548e17 | −0.176557 | ||||||||
\(756\) | −5.99732e17 | − | 2.09006e18i | −0.116833 | − | 0.407162i | ||||
\(757\) | −3.07611e17 | −0.0594127 | −0.0297063 | − | 0.999559i | \(-0.509457\pi\) | ||||
−0.0297063 | + | 0.999559i | \(0.509457\pi\) | |||||||
\(758\) | −3.30171e17 | + | 5.71873e17i | −0.0632251 | + | 0.109509i | ||||
\(759\) | −2.74270e16 | − | 4.75049e16i | −0.00520723 | − | 0.00901918i | ||||
\(760\) | 1.84471e17 | + | 3.19514e17i | 0.0347249 | + | 0.0601452i | ||||
\(761\) | −1.60580e18 | + | 2.78132e18i | −0.299702 | + | 0.519100i | −0.976068 | − | 0.217467i | \(-0.930221\pi\) |
0.676365 | + | 0.736566i | \(0.263554\pi\) | |||||||
\(762\) | 1.52194e18 | 0.281637 | ||||||||
\(763\) | −2.64139e18 | − | 9.20523e18i | −0.484644 | − | 1.68898i | ||||
\(764\) | 4.06930e17 | 0.0740309 | ||||||||
\(765\) | 4.49543e17 | − | 7.78632e17i | 0.0810909 | − | 0.140454i | ||||
\(766\) | −3.88544e18 | − | 6.72977e18i | −0.694949 | − | 1.20369i | ||||
\(767\) | −2.77020e17 | − | 4.79812e17i | −0.0491293 | − | 0.0850945i | ||||
\(768\) | 8.49970e16 | − | 1.47219e17i | 0.0149471 | − | 0.0258891i | ||||
\(769\) | −8.98488e18 | −1.56672 | −0.783359 | − | 0.621569i | \(-0.786495\pi\) | ||||
−0.783359 | + | 0.621569i | \(0.786495\pi\) | |||||||
\(770\) | −7.56647e16 | + | 7.83819e16i | −0.0130829 | + | 0.0135527i | ||||
\(771\) | 3.28691e18 | 0.563552 | ||||||||
\(772\) | −2.13770e18 | + | 3.70261e18i | −0.363442 | + | 0.629500i | ||||
\(773\) | 6.20424e17 | + | 1.07461e18i | 0.104598 | + | 0.181168i | 0.913574 | − | 0.406673i | \(-0.133311\pi\) |
−0.808976 | + | 0.587841i | \(0.799978\pi\) | |||||||
\(774\) | 1.64989e18 | + | 2.85769e18i | 0.275828 | + | 0.477749i | ||||
\(775\) | 1.98094e18 | − | 3.43109e18i | 0.328406 | − | 0.568815i | ||||
\(776\) | 8.79226e17 | 0.144544 | ||||||||
\(777\) | 3.19836e18 | + | 7.96817e17i | 0.521424 | + | 0.129904i | ||||
\(778\) | 6.04537e18 | 0.977362 | ||||||||
\(779\) | −1.61235e18 | + | 2.79268e18i | −0.258504 | + | 0.447742i | ||||
\(780\) | −2.58897e16 | − | 4.48422e16i | −0.00411634 | − | 0.00712971i | ||||
\(781\) | −4.88037e17 | − | 8.45304e17i | −0.0769522 | − | 0.133285i | ||||
\(782\) | 3.88617e17 | − | 6.73104e17i | 0.0607684 | − | 0.105254i | ||||
\(783\) | 1.07938e18 | 0.167388 | ||||||||
\(784\) | −1.37821e18 | + | 8.61905e17i | −0.211963 | + | 0.132558i | ||||
\(785\) | −1.41550e18 | −0.215903 | ||||||||
\(786\) | 1.62570e18 | − | 2.81579e18i | 0.245920 | − | 0.425945i | ||||
\(787\) | −5.90157e18 | − | 1.02218e19i | −0.885385 | − | 1.53353i | −0.845272 | − | 0.534336i | \(-0.820562\pi\) |
−0.0401124 | − | 0.999195i | \(-0.512772\pi\) | |||||||
\(788\) | 1.42999e18 | + | 2.47682e18i | 0.212771 | + | 0.368531i | ||||
\(789\) | 1.44125e18 | − | 2.49632e18i | 0.212686 | − | 0.368383i | ||||
\(790\) | −9.44450e17 | −0.138230 | ||||||||
\(791\) | 7.15621e17 | + | 1.78285e17i | 0.103881 | + | 0.0258801i | ||||
\(792\) | 3.49475e17 | 0.0503155 | ||||||||
\(793\) | 2.84158e17 | − | 4.92176e17i | 0.0405774 | − | 0.0702822i | ||||
\(794\) | 2.15616e18 | + | 3.73458e18i | 0.305385 | + | 0.528942i | ||||
\(795\) | 3.33818e17 | + | 5.78189e17i | 0.0468946 | + | 0.0812239i | ||||
\(796\) | −1.13245e18 | + | 1.96146e18i | −0.157791 | + | 0.273303i | ||||
\(797\) | 5.23046e18 | 0.722871 | 0.361436 | − | 0.932397i | \(-0.382287\pi\) | ||||
0.361436 | + | 0.932397i | \(0.382287\pi\) | |||||||
\(798\) | 2.33158e18 | − | 2.41531e18i | 0.319618 | − | 0.331096i | ||||
\(799\) | −7.16915e18 | −0.974796 | ||||||||
\(800\) | 6.41701e17 | − | 1.11146e18i | 0.0865462 | − | 0.149902i | ||||
\(801\) | 2.70576e18 | + | 4.68651e18i | 0.361974 | + | 0.626958i | ||||
\(802\) | 1.87236e18 | + | 3.24302e18i | 0.248459 | + | 0.430344i | ||||
\(803\) | 1.00131e18 | − | 1.73431e18i | 0.131800 | − | 0.228285i | ||||
\(804\) | −2.28489e18 | −0.298333 | ||||||||
\(805\) | 3.62758e16 | + | 1.26421e17i | 0.00469834 | + | 0.0163737i | ||||
\(806\) | 8.80345e17 | 0.113103 | ||||||||
\(807\) | −2.16451e18 | + | 3.74905e18i | −0.275856 | + | 0.477797i | ||||
\(808\) | 4.89156e17 | + | 8.47244e17i | 0.0618406 | + | 0.107111i | ||||
\(809\) | 1.01556e18 | + | 1.75901e18i | 0.127362 | + | 0.220598i | 0.922654 | − | 0.385629i | \(-0.126016\pi\) |
−0.795292 | + | 0.606227i | \(0.792682\pi\) | |||||||
\(810\) | 1.50163e17 | − | 2.60090e17i | 0.0186815 | − | 0.0323572i | ||||
\(811\) | 2.48818e17 | 0.0307076 | 0.0153538 | − | 0.999882i | \(-0.495113\pi\) | ||||
0.0153538 | + | 0.999882i | \(0.495113\pi\) | |||||||
\(812\) | −2.22559e17 | − | 7.75617e17i | −0.0272478 | − | 0.0949584i | ||||
\(813\) | 5.97426e18 | 0.725597 | ||||||||
\(814\) | −6.08334e17 | + | 1.05366e18i | −0.0732965 | + | 0.126953i | ||||
\(815\) | 7.87079e17 | + | 1.36326e18i | 0.0940793 | + | 0.162950i | ||||
\(816\) | −7.34446e17 | − | 1.27210e18i | −0.0870912 | − | 0.150846i | ||||
\(817\) | −5.85018e18 | + | 1.01328e19i | −0.688218 | + | 1.19203i | ||||
\(818\) | 9.46556e18 | 1.10471 | ||||||||
\(819\) | 1.10310e18 | − | 1.14272e18i | 0.127724 | − | 0.132310i | ||||
\(820\) | −2.38763e17 | −0.0274270 | ||||||||
\(821\) | −4.01984e18 | + | 6.96258e18i | −0.458119 | + | 0.793486i | −0.998862 | − | 0.0477022i | \(-0.984810\pi\) |
0.540742 | + | 0.841188i | \(0.318143\pi\) | |||||||
\(822\) | 2.57461e18 | + | 4.45935e18i | 0.291101 | + | 0.504202i | ||||
\(823\) | −4.52962e17 | − | 7.84553e17i | −0.0508116 | − | 0.0880082i | 0.839501 | − | 0.543358i | \(-0.182847\pi\) |
−0.890313 | + | 0.455350i | \(0.849514\pi\) | |||||||
\(824\) | −6.62042e17 | + | 1.14669e18i | −0.0736816 | + | 0.127620i | ||||
\(825\) | −7.82665e17 | −0.0864222 | ||||||||
\(826\) | 2.58076e18 | + | 6.42952e17i | 0.282734 | + | 0.0704382i | ||||
\(827\) | −4.25212e18 | −0.462189 | −0.231095 | − | 0.972931i | \(-0.574231\pi\) | ||||
−0.231095 | + | 0.972931i | \(0.574231\pi\) | |||||||
\(828\) | 2.10951e17 | − | 3.65378e17i | 0.0227502 | − | 0.0394044i | ||||
\(829\) | 1.29722e17 | + | 2.24686e17i | 0.0138807 | + | 0.0240420i | 0.872882 | − | 0.487931i | \(-0.162248\pi\) |
−0.859002 | + | 0.511973i | \(0.828915\pi\) | |||||||
\(830\) | 6.65804e17 | + | 1.15321e18i | 0.0706868 | + | 0.122433i | ||||
\(831\) | −1.76929e18 | + | 3.06449e18i | −0.186377 | + | 0.322814i | ||||
\(832\) | 2.85177e17 | 0.0298066 | ||||||||
\(833\) | 4.95358e17 | + | 1.40372e19i | 0.0513721 | + | 1.45575i | ||||
\(834\) | −1.67030e18 | −0.171876 | ||||||||
\(835\) | 1.36071e18 | − | 2.35682e18i | 0.138932 | − | 0.240638i | ||||
\(836\) | 6.19583e17 | + | 1.07315e18i | 0.0627710 | + | 0.108723i | ||||
\(837\) | −2.82652e18 | − | 4.89568e18i | −0.284143 | − | 0.492150i | ||||
\(838\) | 2.01782e18 | − | 3.49497e18i | 0.201278 | − | 0.348624i | ||||
\(839\) | −8.59708e18 | −0.850938 | −0.425469 | − | 0.904973i | \(-0.639891\pi\) | ||||
−0.425469 | + | 0.904973i | \(0.639891\pi\) | |||||||
\(840\) | 2.41192e17 | + | 6.00889e16i | 0.0236891 | + | 0.00590172i | ||||
\(841\) | −9.86007e18 | −0.960962 | ||||||||
\(842\) | −1.38509e18 | + | 2.39904e18i | −0.133952 | + | 0.232011i | ||||
\(843\) | −2.27735e18 | − | 3.94449e18i | −0.218550 | − | 0.378540i | ||||
\(844\) | 2.62708e18 | + | 4.55024e18i | 0.250177 | + | 0.433320i | ||||
\(845\) | −7.20407e17 | + | 1.24778e18i | −0.0680784 | + | 0.117915i | ||||
\(846\) | −3.89160e18 | −0.364939 | ||||||||
\(847\) | 7.20916e18 | − | 7.46805e18i | 0.670877 | − | 0.694969i | ||||
\(848\) | −3.67703e18 | −0.339566 | ||||||||
\(849\) | 2.35375e17 | − | 4.07681e17i | 0.0215705 | − | 0.0373612i | ||||
\(850\) | −5.54485e18 | − | 9.60396e18i | −0.504274 | − | 0.873428i | ||||
\(851\) | 7.34409e17 | + | 1.27203e18i | 0.0662821 | + | 0.114804i | ||||
\(852\) | −1.11349e18 | + | 1.92863e18i | −0.0997309 | + | 0.172739i | ||||
\(853\) | 2.04864e19 | 1.82095 | 0.910474 | − | 0.413566i | \(-0.135717\pi\) | ||||
0.910474 | + | 0.413566i | \(0.135717\pi\) | |||||||
\(854\) | 7.52471e17 | + | 2.62236e18i | 0.0663763 | + | 0.231321i | ||||
\(855\) | 1.73052e18 | 0.151494 | ||||||||
\(856\) | 1.46946e18 | − | 2.54518e18i | 0.127667 | − | 0.221126i | ||||
\(857\) | −1.73837e18 | − | 3.01094e18i | −0.149888 | − | 0.259614i | 0.781298 | − | 0.624158i | \(-0.214558\pi\) |
−0.931186 | + | 0.364545i | \(0.881225\pi\) | |||||||
\(858\) | −8.69555e16 | − | 1.50611e17i | −0.00744097 | − | 0.0128881i | ||||
\(859\) | −6.11673e17 | + | 1.05945e18i | −0.0519474 | + | 0.0899756i | −0.890830 | − | 0.454337i | \(-0.849876\pi\) |
0.838882 | + | 0.544313i | \(0.183209\pi\) | |||||||
\(860\) | −8.66317e17 | −0.0730192 | ||||||||
\(861\) | 5.99221e17 | + | 2.08828e18i | 0.0501264 | + | 0.174690i | ||||
\(862\) | −9.03615e18 | −0.750215 | ||||||||
\(863\) | 9.67599e18 | − | 1.67593e19i | 0.797306 | − | 1.38097i | −0.124058 | − | 0.992275i | \(-0.539591\pi\) |
0.921364 | − | 0.388700i | \(-0.127076\pi\) | |||||||
\(864\) | −9.15616e17 | − | 1.58589e18i | −0.0748814 | − | 0.129698i | ||||
\(865\) | −3.80416e17 | − | 6.58900e17i | −0.0308784 | − | 0.0534829i | ||||
\(866\) | 4.38545e18 | − | 7.59582e18i | 0.353303 | − | 0.611939i | ||||
\(867\) | −6.71072e18 | −0.536593 | ||||||||
\(868\) | −2.93511e18 | + | 3.04051e18i | −0.232941 | + | 0.241306i | ||||
\(869\) | −3.17212e18 | −0.249874 | ||||||||
\(870\) | −6.16941e16 | + | 1.06857e17i | −0.00482357 | + | 0.00835466i | ||||
\(871\) | −1.91653e18 | − | 3.31954e18i | −0.148730 | − | 0.257608i | ||||
\(872\) | −4.03263e18 | − | 6.98473e18i | −0.310622 | − | 0.538012i | ||||
\(873\) | 2.06199e18 | − | 3.57148e18i | 0.157650 | − | 0.273058i | ||||
\(874\) | 1.49598e18 | 0.113528 | ||||||||
\(875\) | 3.68061e18 | + | 9.16961e17i | 0.277248 | + | 0.0690715i | ||||
\(876\) | −4.56911e18 | −0.341629 | ||||||||
\(877\) | 2.56261e18 | − | 4.43857e18i | 0.190189 | − | 0.329417i | −0.755124 | − | 0.655582i | \(-0.772423\pi\) |
0.945313 | + | 0.326165i | \(0.105757\pi\) | |||||||
\(878\) | −4.27134e18 | − | 7.39817e18i | −0.314666 | − | 0.545017i | ||||
\(879\) | −3.34007e18 | − | 5.78516e18i | −0.244246 | − | 0.423046i | ||||
\(880\) | −4.58751e16 | + | 7.94581e16i | −0.00332997 | + | 0.00576767i | ||||
\(881\) | 1.71952e19 | 1.23898 | 0.619491 | − | 0.785004i | \(-0.287339\pi\) | ||||
0.619491 | + | 0.785004i | \(0.287339\pi\) | |||||||
\(882\) | 2.68893e17 | + | 7.61975e18i | 0.0192324 | + | 0.544998i | ||||
\(883\) | 2.62825e19 | 1.86604 | 0.933021 | − | 0.359822i | \(-0.117163\pi\) | ||||
0.933021 | + | 0.359822i | \(0.117163\pi\) | |||||||
\(884\) | 1.23209e18 | − | 2.13403e18i | 0.0868363 | − | 0.150405i | ||||
\(885\) | −2.03347e17 | − | 3.52208e17i | −0.0142268 | − | 0.0246415i | ||||
\(886\) | −7.53218e18 | − | 1.30461e19i | −0.523120 | − | 0.906071i | ||||
\(887\) | 1.11566e18 | − | 1.93238e18i | 0.0769179 | − | 0.133226i | −0.825001 | − | 0.565132i | \(-0.808825\pi\) |
0.901919 | + | 0.431906i | \(0.142159\pi\) | |||||||
\(888\) | 2.77592e18 | 0.189986 | ||||||||
\(889\) | −1.18928e19 | − | 2.96289e18i | −0.808022 | − | 0.201305i | ||||
\(890\) | −1.42073e18 | −0.0958244 | ||||||||
\(891\) | 5.04352e17 | − | 8.73564e17i | 0.0337698 | − | 0.0584911i | ||||
\(892\) | 6.54299e18 | + | 1.13328e19i | 0.434915 | + | 0.753295i | ||||
\(893\) | −6.89941e18 | − | 1.19501e19i | −0.455279 | − | 0.788566i | ||||
\(894\) | −4.01794e18 | + | 6.95928e18i | −0.263215 | + | 0.455901i | ||||
\(895\) | 2.42755e18 | 0.157877 | ||||||||
\(896\) | −9.50792e17 | + | 9.84937e17i | −0.0613880 | + | 0.0635925i | ||||
\(897\) | −2.09954e17 | −0.0134578 | ||||||||
\(898\) | −9.49537e17 | + | 1.64465e18i | −0.0604248 | + | 0.104659i | ||||
\(899\) | −1.04891e18 | − | 1.81677e18i | −0.0662677 | − | 0.114779i | ||||
\(900\) | −3.00988e18 | − | 5.21327e18i | −0.188788 | − | 0.326990i | ||||
\(901\) | −1.58863e19 | + | 2.75159e19i | −0.989265 | + | 1.71346i | ||||
\(902\) | −8.01934e17 | −0.0495788 | ||||||||
\(903\) | 2.17418e18 | + | 7.57702e18i | 0.133452 | + | 0.465080i | ||||
\(904\) | 6.21100e17 | 0.0378501 | ||||||||
\(905\) | 2.38748e17 | − | 4.13523e17i | 0.0144452 | − | 0.0250198i | ||||
\(906\) | 3.44284e18 | + | 5.96317e18i | 0.206816 | + | 0.358215i | ||||
\(907\) | 4.08268e18 | + | 7.07142e18i | 0.243500 | + | 0.421754i | 0.961709 | − | 0.274074i | \(-0.0883712\pi\) |
−0.718209 | + | 0.695827i | \(0.755038\pi\) | |||||||
\(908\) | 7.46862e18 | − | 1.29360e19i | 0.442265 | − | 0.766026i | ||||
\(909\) | 4.58875e18 | 0.269792 | ||||||||
\(910\) | 1.15010e17 | + | 4.00810e17i | 0.00671378 | + | 0.0233975i | ||||
\(911\) | −1.41341e19 | −0.819218 | −0.409609 | − | 0.912261i | \(-0.634335\pi\) | ||||
−0.409609 | + | 0.912261i | \(0.634335\pi\) | |||||||
\(912\) | 1.41363e18 | − | 2.44847e18i | 0.0813520 | − | 0.140906i | ||||
\(913\) | 2.23623e18 | + | 3.87327e18i | 0.127778 | + | 0.221318i | ||||
\(914\) | −4.93056e18 | − | 8.53999e18i | −0.279735 | − | 0.484515i | ||||
\(915\) | 2.08587e17 | − | 3.61284e17i | 0.0117504 | − | 0.0203522i | ||||
\(916\) | −5.41762e18 | −0.303032 | ||||||||
\(917\) | −1.81854e19 | + | 1.88384e19i | −1.01000 | + | 1.04627i | ||||
\(918\) | −1.58234e19 | −0.872615 | ||||||||
\(919\) | 6.47932e18 | − | 1.12225e19i | 0.354796 | − | 0.614524i | −0.632287 | − | 0.774734i | \(-0.717884\pi\) |
0.987083 | + | 0.160210i | \(0.0512171\pi\) | |||||||
\(920\) | 5.53826e16 | + | 9.59255e16i | 0.00301129 | + | 0.00521571i | ||||
\(921\) | 3.19168e18 | + | 5.52814e18i | 0.172318 | + | 0.298464i | ||||
\(922\) | −9.06928e18 | + | 1.57085e19i | −0.486208 | + | 0.842137i | ||||
\(923\) | −3.73592e18 | −0.198878 | ||||||||
\(924\) | 8.10091e17 | + | 2.01820e17i | 0.0428219 | + | 0.0106683i | ||||
\(925\) | 2.09573e19 | 1.10006 | ||||||||
\(926\) | −3.05305e17 | + | 5.28804e17i | −0.0159134 | + | 0.0275628i | ||||
\(927\) | 3.10529e18 | + | 5.37852e18i | 0.160725 | + | 0.278384i | ||||
\(928\) | −3.39783e17 | − | 5.88521e17i | −0.0174638 | − | 0.0302482i | ||||
\(929\) | −1.07171e19 | + | 1.85626e19i | −0.546986 | + | 0.947408i | 0.451493 | + | 0.892275i | \(0.350892\pi\) |
−0.998479 | + | 0.0551329i | \(0.982442\pi\) | |||||||
\(930\) | 6.46221e17 | 0.0327523 | ||||||||
\(931\) | −2.29217e19 | + | 1.43348e19i | −1.15365 | + | 0.721469i | ||||
\(932\) | 1.59957e19 | 0.799464 | ||||||||
\(933\) | 6.77922e18 | − | 1.17420e19i | 0.336472 | − | 0.582787i | ||||
\(934\) | 6.88494e18 | + | 1.19251e19i | 0.339348 | + | 0.587769i | ||||
\(935\) | 3.96400e17 | + | 6.86585e17i | 0.0194025 | + | 0.0336062i | ||||
\(936\) | 6.68807e17 | − | 1.15841e18i | 0.0325093 | − | 0.0563078i | ||||
\(937\) | 3.52431e19 | 1.70124 | 0.850622 | − | 0.525778i | \(-0.176226\pi\) | ||||
0.850622 | + | 0.525778i | \(0.176226\pi\) | |||||||
\(938\) | 1.78547e19 | + | 4.44820e18i | 0.855924 | + | 0.213239i | ||||
\(939\) | 4.96330e17 | 0.0236289 | ||||||||
\(940\) | 5.10845e17 | − | 8.84810e17i | 0.0241523 | − | 0.0418330i | ||||
\(941\) | 1.92251e18 | + | 3.32988e18i | 0.0902682 | + | 0.156349i | 0.907624 | − | 0.419784i | \(-0.137894\pi\) |
−0.817356 | + | 0.576133i | \(0.804561\pi\) | |||||||
\(942\) | 5.42358e18 | + | 9.39392e18i | 0.252904 | + | 0.438042i | ||||
\(943\) | −4.84066e17 | + | 8.38427e17i | −0.0224171 | + | 0.0388275i | ||||
\(944\) | 2.23989e18 | 0.103017 | ||||||||
\(945\) | 1.85968e18 | − | 1.92646e18i | 0.0849436 | − | 0.0879941i | ||||
\(946\) | −2.90969e18 | −0.131994 | ||||||||
\(947\) | −7.78632e18 | + | 1.34863e19i | −0.350798 | + | 0.607600i | −0.986390 | − | 0.164425i | \(-0.947423\pi\) |
0.635591 | + | 0.772026i | \(0.280756\pi\) | |||||||
\(948\) | 3.61872e18 | + | 6.26780e18i | 0.161920 | + | 0.280454i | ||||
\(949\) | −3.83250e18 | − | 6.63809e18i | −0.170315 | − | 0.294994i | ||||
\(950\) | 1.06724e19 | − | 1.84852e19i | 0.471043 | − | 0.815870i | ||||
\(951\) | −2.10264e18 | −0.0921703 | ||||||||
\(952\) | 3.26265e18 | + | 1.13703e19i | 0.142046 | + | 0.495031i | ||||
\(953\) | −1.10796e19 | −0.479095 | −0.239548 | − | 0.970885i | \(-0.576999\pi\) | ||||
−0.239548 | + | 0.970885i | \(0.576999\pi\) | |||||||
\(954\) | −8.62351e18 | + | 1.49364e19i | −0.370356 | + | 0.641476i | ||||
\(955\) | 2.50552e17 | + | 4.33969e17i | 0.0106875 | + | 0.0185113i | ||||
\(956\) | −5.51544e18 | − | 9.55302e18i | −0.233670 | − | 0.404729i | ||||
\(957\) | −2.07212e17 | + | 3.58901e17i | −0.00871940 | + | 0.0151024i | ||||
\(958\) | 1.53320e19 | 0.640800 | ||||||||
\(959\) | −1.14372e19 | − | 3.98587e19i | −0.474788 | − | 1.65463i | ||||
\(960\) | 2.09335e17 | 0.00863135 | ||||||||
\(961\) | 6.71529e18 | − | 1.16312e19i | 0.275019 | − | 0.476347i | ||||
\(962\) | 2.32840e18 | + | 4.03290e18i | 0.0947151 | + | 0.164051i | ||||
\(963\) | −6.89246e18 | − | 1.19381e19i | −0.278486 | − | 0.482352i | ||||
\(964\) | 5.98324e18 | − | 1.03633e19i | 0.240124 | − | 0.415907i | ||||
\(965\) | −5.26485e18 | −0.209874 | ||||||||
\(966\) | 6.99995e17 | − | 7.25133e17i | 0.0277168 | − | 0.0287122i | ||||
\(967\) | 2.18298e19 | 0.858574 | 0.429287 | − | 0.903168i | \(-0.358765\pi\) | ||||
0.429287 | + | 0.903168i | \(0.358765\pi\) | |||||||
\(968\) | 4.37088e18 | − | 7.57059e18i | 0.170757 | − | 0.295760i | ||||
\(969\) | −1.22149e19 | − | 2.11569e19i | −0.474009 | − | 0.821007i | ||||
\(970\) | 5.41351e17 | + | 9.37648e17i | 0.0208671 | + | 0.0361429i | ||||
\(971\) | −9.57047e18 | + | 1.65765e19i | −0.366444 | + | 0.634700i | −0.989007 | − | 0.147870i | \(-0.952758\pi\) |
0.622562 | + | 0.782570i | \(0.286092\pi\) | |||||||
\(972\) | −1.34387e19 | −0.511125 | ||||||||
\(973\) | 1.30522e19 | + | 3.25172e18i | 0.493116 | + | 0.122851i | ||||
\(974\) | −4.10456e18 | −0.154040 | ||||||||
\(975\) | −1.49783e18 | + | 2.59431e18i | −0.0558382 | + | 0.0967146i | ||||
\(976\) | 1.14880e18 | + | 1.98979e18i | 0.0425424 | + | 0.0736856i | ||||
\(977\) | −2.00659e19 | − | 3.47551e19i | −0.738148 | − | 1.27851i | −0.953328 | − | 0.301935i | \(-0.902367\pi\) |
0.215181 | − | 0.976574i | \(-0.430966\pi\) | |||||||
\(978\) | 6.03148e18 | − | 1.04468e19i | 0.220405 | − | 0.381752i | ||||
\(979\) | −4.77179e18 | −0.173218 | ||||||||
\(980\) | −1.76776e18 | − | 9.39100e17i | −0.0637460 | − | 0.0338643i | ||||
\(981\) | −3.78299e19 | −1.35515 | ||||||||
\(982\) | −8.27068e18 | + | 1.43252e19i | −0.294318 | + | 0.509774i | ||||
\(983\) | 1.99129e18 | + | 3.44902e18i | 0.0703943 | + | 0.121926i | 0.899074 | − | 0.437796i | \(-0.144241\pi\) |
−0.828680 | + | 0.559723i | \(0.810908\pi\) | |||||||
\(984\) | 9.14836e17 | + | 1.58454e18i | 0.0321274 | + | 0.0556462i | ||||
\(985\) | −1.76093e18 | + | 3.05002e18i | −0.0614337 | + | 0.106406i | ||||
\(986\) | −5.87202e18 | −0.203511 | ||||||||
\(987\) | −9.02083e18 | − | 2.24738e18i | −0.310588 | − | 0.0773777i | ||||
\(988\) | 4.74291e18 | 0.162228 | ||||||||
\(989\) | −1.75636e18 | + | 3.04211e18i | −0.0596812 | + | 0.103371i | ||||
\(990\) | 2.15176e17 | + | 3.72696e17i | 0.00726382 | + | 0.0125813i | ||||
\(991\) | 2.71104e19 | + | 4.69567e19i | 0.909197 | + | 1.57478i | 0.815182 | + | 0.579204i | \(0.196637\pi\) |
0.0940145 | + | 0.995571i | \(0.470030\pi\) | |||||||
\(992\) | −1.77954e18 | + | 3.08226e18i | −0.0592902 | + | 0.102694i | ||||
\(993\) | 1.16893e19 | 0.386917 | ||||||||
\(994\) | 1.24557e19 | − | 1.29030e19i | 0.409598 | − | 0.424307i | ||||
\(995\) | −2.78905e18 | −0.0911184 | ||||||||
\(996\) | 5.10213e18 | − | 8.83715e18i | 0.165602 | − | 0.286831i | ||||
\(997\) | −2.74343e19 | − | 4.75176e19i | −0.884657 | − | 1.53227i | −0.846106 | − | 0.533014i | \(-0.821059\pi\) |
−0.0385510 | − | 0.999257i | \(-0.512274\pi\) | |||||||
\(998\) | 1.54074e17 | + | 2.66863e17i | 0.00493606 | + | 0.00854950i | ||||
\(999\) | 1.49516e19 | − | 2.58969e19i | 0.475894 | − | 0.824273i |
(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 | 14.14.c.a.9.3 | ✓ | 8 | |
3.2 | odd | 2 | 126.14.g.d.37.2 | 8 | |||
7.2 | even | 3 | 98.14.a.l.1.2 | 4 | |||
7.3 | odd | 6 | 98.14.c.n.67.2 | 8 | |||
7.4 | even | 3 | inner | 14.14.c.a.11.3 | yes | 8 | |
7.5 | odd | 6 | 98.14.a.k.1.3 | 4 | |||
7.6 | odd | 2 | 98.14.c.n.79.2 | 8 | |||
21.11 | odd | 6 | 126.14.g.d.109.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
14.14.c.a.9.3 | ✓ | 8 | 1.1 | even | 1 | trivial | |
14.14.c.a.11.3 | yes | 8 | 7.4 | even | 3 | inner | |
98.14.a.k.1.3 | 4 | 7.5 | odd | 6 | |||
98.14.a.l.1.2 | 4 | 7.2 | even | 3 | |||
98.14.c.n.67.2 | 8 | 7.3 | odd | 6 | |||
98.14.c.n.79.2 | 8 | 7.6 | odd | 2 | |||
126.14.g.d.37.2 | 8 | 3.2 | odd | 2 | |||
126.14.g.d.109.2 | 8 | 21.11 | odd | 6 |