Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [441,2,Mod(5,441)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(441, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([35, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("441.5");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 441 = 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 441.bn (of order \(42\), degree \(12\), 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: | \(3.52140272914\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 5.5 | ||
Character | \(\chi\) | \(=\) | 441.5 |
Dual form | 441.2.bn.a.353.5 |
$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(344\) |
\(\chi(n)\) | \(e\left(\frac{29}{42}\right)\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.96009 | + | 1.56312i | −1.38599 | + | 1.10529i | −0.404339 | + | 0.914609i | \(0.632498\pi\) |
−0.981652 | + | 0.190682i | \(0.938930\pi\) | |||||||
\(3\) | 1.60753 | + | 0.644869i | 0.928106 | + | 0.372315i | ||||
\(4\) | 0.953564 | − | 4.17784i | 0.476782 | − | 2.08892i | ||||
\(5\) | 0.688287 | + | 0.469266i | 0.307811 | + | 0.209862i | 0.707366 | − | 0.706847i | \(-0.249883\pi\) |
−0.399555 | + | 0.916709i | \(0.630835\pi\) | |||||||
\(6\) | −4.15890 | + | 1.24876i | −1.69786 | + | 0.509802i | ||||
\(7\) | 1.84507 | + | 1.89623i | 0.697373 | + | 0.716709i | ||||
\(8\) | 2.48585 | + | 5.16192i | 0.878880 | + | 1.82501i | ||||
\(9\) | 2.16829 | + | 2.07329i | 0.722763 | + | 0.691096i | ||||
\(10\) | −2.08262 | + | 0.156071i | −0.658582 | + | 0.0493539i | ||||
\(11\) | 0.172004 | + | 1.14117i | 0.0518612 | + | 0.344076i | 0.999681 | + | 0.0252690i | \(0.00804421\pi\) |
−0.947820 | + | 0.318807i | \(0.896718\pi\) | |||||||
\(12\) | 4.22704 | − | 6.10106i | 1.22024 | − | 1.76123i | ||||
\(13\) | −1.00260 | − | 6.65184i | −0.278072 | − | 1.84489i | −0.495242 | − | 0.868755i | \(-0.664921\pi\) |
0.217170 | − | 0.976134i | \(-0.430318\pi\) | |||||||
\(14\) | −6.58054 | − | 0.832715i | −1.75872 | − | 0.222552i | ||||
\(15\) | 0.803825 | + | 1.19821i | 0.207547 | + | 0.309377i | ||||
\(16\) | −5.21935 | − | 2.51351i | −1.30484 | − | 0.628377i | ||||
\(17\) | 1.04713 | − | 0.971599i | 0.253967 | − | 0.235647i | −0.542906 | − | 0.839793i | \(-0.682676\pi\) |
0.796874 | + | 0.604146i | \(0.206486\pi\) | |||||||
\(18\) | −7.49083 | − | 0.674536i | −1.76560 | − | 0.158990i | ||||
\(19\) | 4.95852 | + | 2.86280i | 1.13756 | + | 0.656772i | 0.945826 | − | 0.324674i | \(-0.105255\pi\) |
0.191737 | + | 0.981446i | \(0.438588\pi\) | |||||||
\(20\) | 2.61684 | − | 2.42807i | 0.585144 | − | 0.542934i | ||||
\(21\) | 1.74319 | + | 4.23808i | 0.380394 | + | 0.924824i | ||||
\(22\) | −2.12093 | − | 1.96793i | −0.452184 | − | 0.419565i | ||||
\(23\) | 2.60794 | + | 8.45473i | 0.543793 | + | 1.76293i | 0.640863 | + | 0.767656i | \(0.278577\pi\) |
−0.0970697 | + | 0.995278i | \(0.530947\pi\) | |||||||
\(24\) | 0.667310 | + | 9.90097i | 0.136214 | + | 2.02103i | ||||
\(25\) | −1.57318 | − | 4.00839i | −0.314635 | − | 0.801678i | ||||
\(26\) | 12.3628 | + | 11.4710i | 2.42454 | + | 2.24965i | ||||
\(27\) | 2.14859 | + | 4.73113i | 0.413495 | + | 0.910506i | ||||
\(28\) | 9.68155 | − | 5.90024i | 1.82964 | − | 1.11504i | ||||
\(29\) | −1.21411 | − | 1.30850i | −0.225455 | − | 0.242983i | 0.610187 | − | 0.792258i | \(-0.291094\pi\) |
−0.835642 | + | 0.549275i | \(0.814904\pi\) | |||||||
\(30\) | −3.44851 | − | 1.09213i | −0.629609 | − | 0.199394i | ||||
\(31\) | 0.899146i | 0.161491i | 0.996735 | + | 0.0807457i | \(0.0257302\pi\) | ||||
−0.996735 | + | 0.0807457i | \(0.974270\pi\) | |||||||
\(32\) | 2.98800 | − | 0.681992i | 0.528209 | − | 0.120560i | ||||
\(33\) | −0.459405 | + | 1.94539i | −0.0799721 | + | 0.338648i | ||||
\(34\) | −0.533752 | + | 3.54121i | −0.0915377 | + | 0.607313i | ||||
\(35\) | 0.380102 | + | 2.17098i | 0.0642490 | + | 0.366963i | ||||
\(36\) | 10.7295 | − | 7.08174i | 1.78824 | − | 1.18029i | ||||
\(37\) | −4.78288 | − | 1.47532i | −0.786300 | − | 0.242541i | −0.124498 | − | 0.992220i | \(-0.539732\pi\) |
−0.661802 | + | 0.749678i | \(0.730208\pi\) | |||||||
\(38\) | −14.1940 | + | 2.13941i | −2.30258 | + | 0.347058i | ||||
\(39\) | 2.67785 | − | 11.3396i | 0.428799 | − | 1.81578i | ||||
\(40\) | −0.711335 | + | 4.71940i | −0.112472 | + | 0.746203i | ||||
\(41\) | 0.248358 | − | 3.31411i | 0.0387870 | − | 0.517577i | −0.943645 | − | 0.330958i | \(-0.892628\pi\) |
0.982432 | − | 0.186619i | \(-0.0597528\pi\) | |||||||
\(42\) | −10.0414 | − | 5.58220i | −1.54942 | − | 0.861352i | ||||
\(43\) | 0.455407 | + | 6.07698i | 0.0694489 | + | 0.926731i | 0.917735 | + | 0.397193i | \(0.130016\pi\) |
−0.848286 | + | 0.529538i | \(0.822365\pi\) | |||||||
\(44\) | 4.93165 | + | 0.369576i | 0.743474 | + | 0.0557157i | ||||
\(45\) | 0.519481 | + | 2.44452i | 0.0774396 | + | 0.364408i | ||||
\(46\) | −18.3275 | − | 12.4955i | −2.70225 | − | 1.84236i | ||||
\(47\) | −5.40911 | − | 6.78281i | −0.789000 | − | 0.989375i | −0.999930 | − | 0.0118733i | \(-0.996221\pi\) |
0.210930 | − | 0.977501i | \(-0.432351\pi\) | |||||||
\(48\) | −6.76937 | − | 7.40633i | −0.977075 | − | 1.06901i | ||||
\(49\) | −0.191401 | + | 6.99738i | −0.0273430 | + | 0.999626i | ||||
\(50\) | 9.34915 | + | 5.39773i | 1.32217 | + | 0.763355i | ||||
\(51\) | 2.30985 | − | 0.886608i | 0.323444 | − | 0.124150i | ||||
\(52\) | −28.7464 | − | 2.15424i | −3.98640 | − | 0.298740i | ||||
\(53\) | 1.78561 | + | 5.78880i | 0.245272 | + | 0.795152i | 0.991574 | + | 0.129544i | \(0.0413515\pi\) |
−0.746302 | + | 0.665608i | \(0.768172\pi\) | |||||||
\(54\) | −11.6067 | − | 5.91493i | −1.57948 | − | 0.804921i | ||||
\(55\) | −0.417125 | + | 0.866169i | −0.0562451 | + | 0.116794i | ||||
\(56\) | −5.20162 | + | 14.2379i | −0.695096 | + | 1.90261i | ||||
\(57\) | 6.12483 | + | 7.79963i | 0.811253 | + | 1.03309i | ||||
\(58\) | 4.42511 | + | 0.666978i | 0.581046 | + | 0.0875785i | ||||
\(59\) | −5.41780 | − | 2.60908i | −0.705338 | − | 0.339673i | 0.0465936 | − | 0.998914i | \(-0.485163\pi\) |
−0.751932 | + | 0.659241i | \(0.770878\pi\) | |||||||
\(60\) | 5.77243 | − | 2.21568i | 0.745218 | − | 0.286043i | ||||
\(61\) | −0.293062 | + | 0.0668894i | −0.0375227 | + | 0.00856431i | −0.241241 | − | 0.970465i | \(-0.577554\pi\) |
0.203718 | + | 0.979030i | \(0.434697\pi\) | |||||||
\(62\) | −1.40547 | − | 1.76241i | −0.178495 | − | 0.223826i | ||||
\(63\) | 0.0692161 | + | 7.93695i | 0.00872041 | + | 0.999962i | ||||
\(64\) | 2.43310 | − | 3.05101i | 0.304138 | − | 0.381377i | ||||
\(65\) | 2.43140 | − | 5.04886i | 0.301579 | − | 0.626234i | ||||
\(66\) | −2.14039 | − | 4.53123i | −0.263464 | − | 0.557756i | ||||
\(67\) | −3.71201 | −0.453494 | −0.226747 | − | 0.973954i | \(-0.572809\pi\) | ||||
−0.226747 | + | 0.973954i | \(0.572809\pi\) | |||||||
\(68\) | −3.06067 | − | 5.30124i | −0.371161 | − | 0.642870i | ||||
\(69\) | −1.25986 | + | 15.2730i | −0.151669 | + | 1.83865i | ||||
\(70\) | −4.13853 | − | 3.66117i | −0.494649 | − | 0.437594i | ||||
\(71\) | −13.2147 | − | 3.01617i | −1.56830 | − | 0.357954i | −0.651927 | − | 0.758282i | \(-0.726039\pi\) |
−0.916372 | + | 0.400327i | \(0.868896\pi\) | |||||||
\(72\) | −5.31210 | + | 16.3464i | −0.626037 | + | 1.92644i | ||||
\(73\) | −0.722899 | + | 4.79612i | −0.0846089 | + | 0.561343i | 0.905857 | + | 0.423584i | \(0.139228\pi\) |
−0.990466 | + | 0.137759i | \(0.956010\pi\) | |||||||
\(74\) | 11.6810 | − | 4.58444i | 1.35788 | − | 0.532930i | ||||
\(75\) | 0.0559597 | − | 7.45809i | 0.00646167 | − | 0.861186i | ||||
\(76\) | 16.6886 | − | 17.9860i | 1.91431 | − | 2.06314i | ||||
\(77\) | −1.84657 | + | 2.43171i | −0.210436 | + | 0.277119i | ||||
\(78\) | 12.4763 | + | 26.4123i | 1.41266 | + | 2.99061i | ||||
\(79\) | 9.44511 | 1.06266 | 0.531329 | − | 0.847165i | \(-0.321693\pi\) | ||||
0.531329 | + | 0.847165i | \(0.321693\pi\) | |||||||
\(80\) | −2.41291 | − | 4.17928i | −0.269771 | − | 0.467258i | ||||
\(81\) | 0.402953 | + | 8.99097i | 0.0447725 | + | 0.998997i | ||||
\(82\) | 4.69354 | + | 6.88415i | 0.518314 | + | 0.760227i | ||||
\(83\) | 8.13734 | + | 1.22651i | 0.893189 | + | 0.134627i | 0.579570 | − | 0.814922i | \(-0.303220\pi\) |
0.313619 | + | 0.949549i | \(0.398459\pi\) | |||||||
\(84\) | 19.3682 | − | 3.24147i | 2.11325 | − | 0.353673i | ||||
\(85\) | 1.17667 | − | 0.177354i | 0.127627 | − | 0.0192367i | ||||
\(86\) | −10.3917 | − | 11.1996i | −1.12056 | − | 1.20768i | ||||
\(87\) | −1.10791 | − | 2.88640i | −0.118780 | − | 0.309454i | ||||
\(88\) | −5.46306 | + | 3.72465i | −0.582364 | + | 0.397049i | ||||
\(89\) | −6.26262 | − | 15.9569i | −0.663836 | − | 1.69143i | −0.720884 | − | 0.693056i | \(-0.756264\pi\) |
0.0570471 | − | 0.998371i | \(-0.481831\pi\) | |||||||
\(90\) | −4.83930 | − | 3.97946i | −0.510107 | − | 0.419472i | ||||
\(91\) | 10.7636 | − | 14.1743i | 1.12833 | − | 1.48587i | ||||
\(92\) | 37.8093 | − | 2.83342i | 3.94189 | − | 0.295404i | ||||
\(93\) | −0.579831 | + | 1.44540i | −0.0601257 | + | 0.149881i | ||||
\(94\) | 21.2047 | + | 4.83982i | 2.18709 | + | 0.499190i | ||||
\(95\) | 2.06947 | + | 4.29730i | 0.212323 | + | 0.440893i | ||||
\(96\) | 5.24309 | + | 0.830548i | 0.535120 | + | 0.0847674i | ||||
\(97\) | −2.31392 | + | 1.33594i | −0.234943 | + | 0.135644i | −0.612850 | − | 0.790199i | \(-0.709977\pi\) |
0.377907 | + | 0.925843i | \(0.376644\pi\) | |||||||
\(98\) | −10.5626 | − | 14.0147i | −1.06698 | − | 1.41569i | ||||
\(99\) | −1.99302 | + | 2.83100i | −0.200306 | + | 0.284527i | ||||
\(100\) | −18.2465 | + | 2.75022i | −1.82465 | + | 0.275022i | ||||
\(101\) | 0.224953 | − | 3.00178i | 0.0223836 | − | 0.298689i | −0.974765 | − | 0.223232i | \(-0.928339\pi\) |
0.997149 | − | 0.0754570i | \(-0.0240416\pi\) | |||||||
\(102\) | −3.14164 | + | 5.34840i | −0.311069 | + | 0.529570i | ||||
\(103\) | −9.78875 | + | 14.3575i | −0.964514 | + | 1.41468i | −0.0552458 | + | 0.998473i | \(0.517594\pi\) |
−0.909269 | + | 0.416210i | \(0.863358\pi\) | |||||||
\(104\) | 31.8439 | − | 21.7108i | 3.12255 | − | 2.12892i | ||||
\(105\) | −0.788974 | + | 3.73503i | −0.0769959 | + | 0.364502i | ||||
\(106\) | −12.5485 | − | 8.55543i | −1.21882 | − | 0.830977i | ||||
\(107\) | 2.02356 | − | 0.794188i | 0.195625 | − | 0.0767771i | −0.265506 | − | 0.964109i | \(-0.585539\pi\) |
0.461131 | + | 0.887332i | \(0.347444\pi\) | |||||||
\(108\) | 21.8147 | − | 4.46500i | 2.09912 | − | 0.429645i | ||||
\(109\) | 4.36822 | − | 11.1300i | 0.418400 | − | 1.06606i | −0.553953 | − | 0.832548i | \(-0.686881\pi\) |
0.972353 | − | 0.233517i | \(-0.0750235\pi\) | |||||||
\(110\) | −0.536322 | − | 2.34978i | −0.0511363 | − | 0.224043i | ||||
\(111\) | −6.73722 | − | 5.45595i | −0.639468 | − | 0.517856i | ||||
\(112\) | −4.86390 | − | 14.5347i | −0.459595 | − | 1.37340i | ||||
\(113\) | 8.37448 | − | 3.28674i | 0.787805 | − | 0.309191i | 0.0628821 | − | 0.998021i | \(-0.479971\pi\) |
0.724923 | + | 0.688830i | \(0.241876\pi\) | |||||||
\(114\) | −24.1969 | − | 5.71413i | −2.26625 | − | 0.535178i | ||||
\(115\) | −2.17251 | + | 7.04310i | −0.202587 | + | 0.656772i | ||||
\(116\) | −6.62445 | + | 3.82463i | −0.615064 | + | 0.355108i | ||||
\(117\) | 11.6173 | − | 16.5018i | 1.07402 | − | 1.52559i | ||||
\(118\) | 14.6977 | − | 3.35465i | 1.35303 | − | 0.308820i | ||||
\(119\) | 3.77442 | + | 0.192939i | 0.346000 | + | 0.0176867i | ||||
\(120\) | −4.18688 | + | 7.12785i | −0.382209 | + | 0.650681i | ||||
\(121\) | 9.23861 | − | 2.84973i | 0.839874 | − | 0.259067i | ||||
\(122\) | 0.469871 | − | 0.589199i | 0.0425401 | − | 0.0533436i | ||||
\(123\) | 2.53641 | − | 5.16736i | 0.228700 | − | 0.465925i | ||||
\(124\) | 3.75649 | + | 0.857394i | 0.337342 | + | 0.0769962i | ||||
\(125\) | 1.72504 | − | 7.55791i | 0.154293 | − | 0.676000i | ||||
\(126\) | −12.5421 | − | 15.4489i | −1.11734 | − | 1.37630i | ||||
\(127\) | −1.63456 | − | 7.16148i | −0.145044 | − | 0.635479i | −0.994219 | − | 0.107368i | \(-0.965758\pi\) |
0.849175 | − | 0.528111i | \(-0.177099\pi\) | |||||||
\(128\) | 15.9132i | 1.40654i | ||||||||
\(129\) | −3.18677 | + | 10.0626i | −0.280580 | + | 0.885961i | ||||
\(130\) | 3.12620 | + | 13.6968i | 0.274186 | + | 1.20129i | ||||
\(131\) | −0.519252 | − | 6.92893i | −0.0453672 | − | 0.605384i | −0.972838 | − | 0.231488i | \(-0.925641\pi\) |
0.927471 | − | 0.373896i | \(-0.121978\pi\) | |||||||
\(132\) | 7.68943 | + | 3.77437i | 0.669279 | + | 0.328517i | ||||
\(133\) | 3.72030 | + | 14.6846i | 0.322591 | + | 1.27332i | ||||
\(134\) | 7.27587 | − | 5.80231i | 0.628539 | − | 0.501243i | ||||
\(135\) | −0.741315 | + | 4.26463i | −0.0638022 | + | 0.367041i | ||||
\(136\) | 7.61833 | + | 2.98997i | 0.653266 | + | 0.256388i | ||||
\(137\) | −1.53686 | − | 2.25416i | −0.131303 | − | 0.192586i | 0.754957 | − | 0.655774i | \(-0.227658\pi\) |
−0.886260 | + | 0.463188i | \(0.846705\pi\) | |||||||
\(138\) | −21.4040 | − | 31.9057i | −1.82203 | − | 2.71599i | ||||
\(139\) | 22.1716 | + | 1.66153i | 1.88057 | + | 0.140930i | 0.965173 | − | 0.261614i | \(-0.0842546\pi\) |
0.915401 | + | 0.402543i | \(0.131874\pi\) | |||||||
\(140\) | 9.43246 | + | 0.482165i | 0.797189 | + | 0.0407504i | ||||
\(141\) | −4.32127 | − | 14.3917i | −0.363917 | − | 1.21200i | ||||
\(142\) | 30.6166 | − | 14.7442i | 2.56929 | − | 1.23731i | ||||
\(143\) | 7.41844 | − | 2.28829i | 0.620361 | − | 0.191356i | ||||
\(144\) | −6.10584 | − | 16.2712i | −0.508820 | − | 1.35594i | ||||
\(145\) | −0.221622 | − | 1.47037i | −0.0184047 | − | 0.122107i | ||||
\(146\) | −6.07995 | − | 10.5308i | −0.503181 | − | 0.871534i | ||||
\(147\) | −4.82008 | + | 11.1251i | −0.397553 | + | 0.917579i | ||||
\(148\) | −10.7244 | + | 18.5753i | −0.881543 | + | 1.52688i | ||||
\(149\) | 5.77583 | + | 2.26684i | 0.473174 | + | 0.185707i | 0.589931 | − | 0.807453i | \(-0.299155\pi\) |
−0.116757 | + | 0.993160i | \(0.537250\pi\) | |||||||
\(150\) | 11.5482 | + | 14.7060i | 0.942905 | + | 1.20074i | ||||
\(151\) | −6.45656 | − | 5.99081i | −0.525427 | − | 0.487525i | 0.372278 | − | 0.928121i | \(-0.378577\pi\) |
−0.897706 | + | 0.440596i | \(0.854767\pi\) | |||||||
\(152\) | −2.45142 | + | 32.7120i | −0.198837 | + | 2.65329i | ||||
\(153\) | 4.28489 | + | 0.0643047i | 0.346413 | + | 0.00519873i | ||||
\(154\) | −0.181609 | − | 7.65276i | −0.0146345 | − | 0.616677i | ||||
\(155\) | −0.421939 | + | 0.618870i | −0.0338909 | + | 0.0497089i | ||||
\(156\) | −44.8213 | − | 22.0006i | −3.58858 | − | 1.76146i | ||||
\(157\) | 3.45765 | − | 7.17989i | 0.275951 | − | 0.573018i | −0.716225 | − | 0.697870i | \(-0.754131\pi\) |
0.992175 | + | 0.124852i | \(0.0398457\pi\) | |||||||
\(158\) | −18.5132 | + | 14.7638i | −1.47283 | + | 1.17455i | ||||
\(159\) | −0.862601 | + | 10.4571i | −0.0684087 | + | 0.829304i | ||||
\(160\) | 2.37664 | + | 0.932761i | 0.187890 | + | 0.0737412i | ||||
\(161\) | −11.2203 | + | 20.5449i | −0.884284 | + | 1.61916i | ||||
\(162\) | −14.8438 | − | 16.9932i | −1.16624 | − | 1.33511i | ||||
\(163\) | −0.445752 | + | 0.303908i | −0.0349140 | + | 0.0238039i | −0.580651 | − | 0.814152i | \(-0.697202\pi\) |
0.545737 | + | 0.837956i | \(0.316250\pi\) | |||||||
\(164\) | −13.6090 | − | 4.19781i | −1.06268 | − | 0.327794i | ||||
\(165\) | −1.22911 | + | 1.12340i | −0.0956857 | + | 0.0874566i | ||||
\(166\) | −17.8671 | + | 10.3156i | −1.38675 | + | 0.800643i | ||||
\(167\) | −0.132559 | − | 0.0408891i | −0.0102577 | − | 0.00316410i | 0.289622 | − | 0.957141i | \(-0.406470\pi\) |
−0.299880 | + | 0.953977i | \(0.596947\pi\) | |||||||
\(168\) | −17.5433 | + | 19.5334i | −1.35350 | + | 1.50703i | ||||
\(169\) | −30.8193 | + | 9.50651i | −2.37072 | + | 0.731270i | ||||
\(170\) | −2.02914 | + | 2.18690i | −0.155628 | + | 0.167727i | ||||
\(171\) | 4.81609 | + | 16.4878i | 0.368296 | + | 1.26086i | ||||
\(172\) | 25.8229 | + | 3.89217i | 1.96898 | + | 0.296775i | ||||
\(173\) | 0.216552 | − | 0.948775i | 0.0164641 | − | 0.0721340i | −0.966028 | − | 0.258436i | \(-0.916793\pi\) |
0.982493 | + | 0.186302i | \(0.0596502\pi\) | |||||||
\(174\) | 6.68337 | + | 3.92580i | 0.506665 | + | 0.297614i | ||||
\(175\) | 4.69821 | − | 10.3789i | 0.355152 | − | 0.784570i | ||||
\(176\) | 1.97060 | − | 6.38852i | 0.148539 | − | 0.481552i | ||||
\(177\) | −7.02676 | − | 7.68794i | −0.528163 | − | 0.577861i | ||||
\(178\) | 37.2178 | + | 21.4877i | 2.78959 | + | 1.61057i | ||||
\(179\) | −12.5663 | − | 13.5432i | −0.939248 | − | 1.01227i | −0.999900 | − | 0.0141096i | \(-0.995509\pi\) |
0.0606525 | − | 0.998159i | \(-0.480682\pi\) | |||||||
\(180\) | 10.7082 | + | 0.160701i | 0.798139 | + | 0.0119779i | ||||
\(181\) | −7.59810 | − | 6.05928i | −0.564763 | − | 0.450383i | 0.299021 | − | 0.954247i | \(-0.403340\pi\) |
−0.863783 | + | 0.503864i | \(0.831911\pi\) | |||||||
\(182\) | 1.05859 | + | 44.6076i | 0.0784679 | + | 3.30654i | ||||
\(183\) | −0.514240 | − | 0.0814598i | −0.0380137 | − | 0.00602168i | ||||
\(184\) | −37.1597 | + | 34.4791i | −2.73945 | + | 2.54184i | ||||
\(185\) | −2.59967 | − | 3.25989i | −0.191132 | − | 0.239672i | ||||
\(186\) | −1.12281 | − | 3.73946i | −0.0823287 | − | 0.274190i | ||||
\(187\) | 1.28887 | + | 1.02784i | 0.0942517 | + | 0.0751632i | ||||
\(188\) | −33.4954 | + | 16.1305i | −2.44290 | + | 1.17644i | ||||
\(189\) | −5.00702 | + | 12.8035i | −0.364207 | + | 0.931318i | ||||
\(190\) | −10.7735 | − | 5.18825i | −0.781593 | − | 0.376395i | ||||
\(191\) | −8.02776 | − | 16.6698i | −0.580868 | − | 1.20619i | −0.959780 | − | 0.280753i | \(-0.909416\pi\) |
0.378912 | − | 0.925433i | \(-0.376298\pi\) | |||||||
\(192\) | 5.87878 | − | 3.33556i | 0.424264 | − | 0.240723i | ||||
\(193\) | −1.96076 | + | 0.944254i | −0.141139 | + | 0.0679689i | −0.503120 | − | 0.864216i | \(-0.667815\pi\) |
0.361981 | + | 0.932185i | \(0.382100\pi\) | |||||||
\(194\) | 2.44725 | − | 6.23549i | 0.175702 | − | 0.447682i | ||||
\(195\) | 7.16440 | − | 6.54825i | 0.513053 | − | 0.468930i | ||||
\(196\) | 29.0514 | + | 7.47209i | 2.07510 | + | 0.533721i | ||||
\(197\) | 8.16946i | 0.582050i | 0.956715 | + | 0.291025i | \(0.0939963\pi\) | ||||
−0.956715 | + | 0.291025i | \(0.906004\pi\) | |||||||
\(198\) | −0.518691 | − | 8.66435i | −0.0368618 | − | 0.615748i | ||||
\(199\) | 12.5731 | − | 18.4413i | 0.891281 | − | 1.30727i | −0.0597629 | − | 0.998213i | \(-0.519034\pi\) |
0.951044 | − | 0.309056i | \(-0.100013\pi\) | |||||||
\(200\) | 16.7803 | − | 18.0849i | 1.18655 | − | 1.27879i | ||||
\(201\) | −5.96716 | − | 2.39376i | −0.420891 | − | 0.168843i | ||||
\(202\) | 4.25121 | + | 6.23539i | 0.299114 | + | 0.438720i | ||||
\(203\) | 0.241097 | − | 4.71653i | 0.0169217 | − | 0.331035i | ||||
\(204\) | −1.50151 | − | 10.4956i | −0.105127 | − | 0.734840i | ||||
\(205\) | 1.72614 | − | 2.16451i | 0.120559 | − | 0.151176i | ||||
\(206\) | −3.25559 | − | 43.4428i | −0.226828 | − | 3.02681i | ||||
\(207\) | −11.8743 | + | 23.7393i | −0.825323 | + | 1.65000i | ||||
\(208\) | −11.4865 | + | 37.2384i | −0.796447 | + | 2.58202i | ||||
\(209\) | −2.41407 | + | 6.15094i | −0.166984 | + | 0.425470i | ||||
\(210\) | −4.29183 | − | 8.55424i | −0.296165 | − | 0.590299i | ||||
\(211\) | −1.08502 | − | 2.76459i | −0.0746960 | − | 0.190322i | 0.888649 | − | 0.458588i | \(-0.151645\pi\) |
−0.963345 | + | 0.268266i | \(0.913549\pi\) | |||||||
\(212\) | 25.8873 | − | 1.93999i | 1.77795 | − | 0.133239i | ||||
\(213\) | −19.2980 | − | 13.3703i | −1.32228 | − | 0.916121i | ||||
\(214\) | −2.72494 | + | 4.71974i | −0.186273 | + | 0.322635i | ||||
\(215\) | −2.53827 | + | 4.39641i | −0.173108 | + | 0.299833i | ||||
\(216\) | −19.0806 | + | 22.8517i | −1.29827 | + | 1.55486i | ||||
\(217\) | −1.70499 | + | 1.65899i | −0.115742 | + | 0.112620i | ||||
\(218\) | 8.83547 | + | 28.6439i | 0.598414 | + | 1.94001i | ||||
\(219\) | −4.25495 | + | 7.24372i | −0.287523 | + | 0.489485i | ||||
\(220\) | 3.22096 | + | 2.56863i | 0.217157 | + | 0.173177i | ||||
\(221\) | −7.51278 | − | 5.99125i | −0.505365 | − | 0.403015i | ||||
\(222\) | 21.7338 | + | 0.163074i | 1.45868 | + | 0.0109448i | ||||
\(223\) | −1.62293 | − | 5.26142i | −0.108680 | − | 0.352331i | 0.884854 | − | 0.465868i | \(-0.154258\pi\) |
−0.993534 | + | 0.113538i | \(0.963782\pi\) | |||||||
\(224\) | 6.80630 | + | 4.40762i | 0.454765 | + | 0.294497i | ||||
\(225\) | 4.89944 | − | 11.9530i | 0.326630 | − | 0.796866i | ||||
\(226\) | −11.2771 | + | 19.5326i | −0.750145 | + | 1.29929i | ||||
\(227\) | −2.98955 | + | 5.17805i | −0.198423 | + | 0.343679i | −0.948017 | − | 0.318219i | \(-0.896915\pi\) |
0.749594 | + | 0.661898i | \(0.230249\pi\) | |||||||
\(228\) | 38.4260 | − | 18.1511i | 2.54482 | − | 1.20208i | ||||
\(229\) | 9.35276 | − | 0.700893i | 0.618048 | − | 0.0463163i | 0.237973 | − | 0.971272i | \(-0.423517\pi\) |
0.380075 | + | 0.924956i | \(0.375898\pi\) | |||||||
\(230\) | −6.75088 | − | 17.2010i | −0.445140 | − | 1.13420i | ||||
\(231\) | −4.53654 | + | 2.71824i | −0.298482 | + | 0.178847i | ||||
\(232\) | 3.73628 | − | 9.51989i | 0.245299 | − | 0.625011i | ||||
\(233\) | 7.39788 | − | 23.9834i | 0.484652 | − | 1.57120i | −0.301688 | − | 0.953407i | \(-0.597550\pi\) |
0.786339 | − | 0.617795i | \(-0.211974\pi\) | |||||||
\(234\) | 3.02343 | + | 50.5041i | 0.197648 | + | 3.30156i | ||||
\(235\) | −0.540077 | − | 7.20683i | −0.0352308 | − | 0.470122i | ||||
\(236\) | −16.0665 | + | 20.1468i | −1.04584 | + | 1.31144i | ||||
\(237\) | 15.1833 | + | 6.09086i | 0.986260 | + | 0.395644i | ||||
\(238\) | −7.69978 | + | 5.52168i | −0.499102 | + | 0.357918i | ||||
\(239\) | 3.73786 | + | 5.48243i | 0.241782 | + | 0.354629i | 0.927879 | − | 0.372881i | \(-0.121630\pi\) |
−0.686097 | + | 0.727510i | \(0.740678\pi\) | |||||||
\(240\) | −1.18373 | − | 8.27432i | −0.0764094 | − | 0.534105i | ||||
\(241\) | 3.21324 | − | 3.46305i | 0.206983 | − | 0.223074i | −0.621025 | − | 0.783790i | \(-0.713284\pi\) |
0.828008 | + | 0.560716i | \(0.189474\pi\) | |||||||
\(242\) | −13.6540 | + | 20.0268i | −0.877713 | + | 1.28737i | ||||
\(243\) | −5.15024 | + | 14.7131i | −0.330388 | + | 0.943845i | ||||
\(244\) | 1.28815i | 0.0824652i | ||||||||
\(245\) | −3.41537 | + | 4.72639i | −0.218200 | + | 0.301958i | ||||
\(246\) | 3.10561 | + | 14.0932i | 0.198007 | + | 0.898548i | ||||
\(247\) | 14.0715 | − | 35.8536i | 0.895347 | − | 2.28131i | ||||
\(248\) | −4.64132 | + | 2.23514i | −0.294724 | + | 0.141932i | ||||
\(249\) | 12.2901 | + | 7.21916i | 0.778851 | + | 0.457496i | ||||
\(250\) | 8.43266 | + | 17.5106i | 0.533329 | + | 1.10747i | ||||
\(251\) | 19.1020 | + | 9.19905i | 1.20571 | + | 0.580639i | 0.925298 | − | 0.379241i | \(-0.123815\pi\) |
0.280411 | + | 0.959880i | \(0.409529\pi\) | |||||||
\(252\) | 33.2253 | + | 7.27922i | 2.09300 | + | 0.458548i | ||||
\(253\) | −9.19973 | + | 4.43035i | −0.578382 | + | 0.278534i | ||||
\(254\) | 14.3981 | + | 11.4821i | 0.903419 | + | 0.720452i | ||||
\(255\) | 2.00589 | + | 0.473694i | 0.125614 | + | 0.0296639i | ||||
\(256\) | −20.0079 | − | 25.0892i | −1.25050 | − | 1.56807i | ||||
\(257\) | −15.3205 | + | 14.2154i | −0.955669 | + | 0.886732i | −0.993646 | − | 0.112547i | \(-0.964099\pi\) |
0.0379771 | + | 0.999279i | \(0.487909\pi\) | |||||||
\(258\) | −9.48265 | − | 24.7049i | −0.590364 | − | 1.53806i | ||||
\(259\) | −6.02721 | − | 11.7915i | −0.374512 | − | 0.732690i | ||||
\(260\) | −18.7748 | − | 14.9724i | −1.16436 | − | 0.928550i | ||||
\(261\) | 0.0803554 | − | 5.35442i | 0.00497387 | − | 0.331430i | ||||
\(262\) | 11.8485 | + | 12.7697i | 0.732004 | + | 0.788912i | ||||
\(263\) | −17.0640 | − | 9.85188i | −1.05221 | − | 0.607493i | −0.128942 | − | 0.991652i | \(-0.541158\pi\) |
−0.923267 | + | 0.384159i | \(0.874491\pi\) | |||||||
\(264\) | −11.1839 | + | 2.46452i | −0.688323 | + | 0.151681i | ||||
\(265\) | −1.48747 | + | 4.82227i | −0.0913749 | + | 0.296230i | ||||
\(266\) | −30.2459 | − | 22.9678i | −1.85449 | − | 1.40825i | ||||
\(267\) | 0.222769 | − | 29.6897i | 0.0136332 | − | 1.81698i | ||||
\(268\) | −3.53964 | + | 15.5082i | −0.216218 | + | 0.947313i | ||||
\(269\) | 2.68739 | + | 0.405060i | 0.163853 | + | 0.0246969i | 0.230457 | − | 0.973083i | \(-0.425978\pi\) |
−0.0666032 | + | 0.997780i | \(0.521216\pi\) | |||||||
\(270\) | −5.21308 | − | 9.51781i | −0.317258 | − | 0.579235i | ||||
\(271\) | −9.03397 | + | 9.73631i | −0.548775 | + | 0.591439i | −0.945145 | − | 0.326652i | \(-0.894079\pi\) |
0.396370 | + | 0.918091i | \(0.370270\pi\) | |||||||
\(272\) | −7.90749 | + | 2.43914i | −0.479462 | + | 0.147894i | ||||
\(273\) | 26.4433 | − | 15.8445i | 1.60042 | − | 0.958953i | ||||
\(274\) | 6.53590 | + | 2.01606i | 0.394848 | + | 0.121795i | ||||
\(275\) | 4.30367 | − | 2.48472i | 0.259521 | − | 0.149835i | ||||
\(276\) | 62.6067 | + | 19.8272i | 3.76848 | + | 1.19346i | ||||
\(277\) | 5.63961 | + | 1.73959i | 0.338851 | + | 0.104522i | 0.459511 | − | 0.888172i | \(-0.348025\pi\) |
−0.120659 | + | 0.992694i | \(0.538501\pi\) | |||||||
\(278\) | −46.0555 | + | 31.4001i | −2.76223 | + | 1.88325i | ||||
\(279\) | −1.86419 | + | 1.94961i | −0.111606 | + | 0.116720i | ||||
\(280\) | −10.2616 | + | 7.35879i | −0.613245 | + | 0.439772i | ||||
\(281\) | 3.78332 | + | 1.48484i | 0.225694 | + | 0.0885782i | 0.475493 | − | 0.879719i | \(-0.342270\pi\) |
−0.249800 | + | 0.968298i | \(0.580365\pi\) | |||||||
\(282\) | 30.9660 | + | 21.4544i | 1.84400 | + | 1.27759i | ||||
\(283\) | −11.2209 | + | 8.94841i | −0.667016 | + | 0.531927i | −0.897425 | − | 0.441166i | \(-0.854565\pi\) |
0.230409 | + | 0.973094i | \(0.425993\pi\) | |||||||
\(284\) | −25.2022 | + | 52.3328i | −1.49547 | + | 3.10538i | ||||
\(285\) | 0.555536 | + | 8.24256i | 0.0329071 | + | 0.488247i | ||||
\(286\) | −10.9639 | + | 16.0811i | −0.648311 | + | 0.950898i | ||||
\(287\) | 6.74256 | − | 5.64383i | 0.398001 | − | 0.333145i | ||||
\(288\) | 7.89281 | + | 4.71623i | 0.465089 | + | 0.277907i | ||||
\(289\) | −1.11793 | + | 14.9177i | −0.0657603 | + | 0.877510i | ||||
\(290\) | 2.73275 | + | 2.53563i | 0.160473 | + | 0.148897i | ||||
\(291\) | −4.58119 | + | 0.655389i | −0.268554 | + | 0.0384196i | ||||
\(292\) | 19.3481 | + | 7.59356i | 1.13226 | + | 0.444379i | ||||
\(293\) | 7.65065 | − | 13.2513i | 0.446956 | − | 0.774150i | −0.551230 | − | 0.834353i | \(-0.685841\pi\) |
0.998186 | + | 0.0602028i | \(0.0191747\pi\) | |||||||
\(294\) | −7.94200 | − | 29.3404i | −0.463187 | − | 1.71117i | ||||
\(295\) | −2.50465 | − | 4.33818i | −0.145826 | − | 0.252579i | ||||
\(296\) | −4.27401 | − | 28.3562i | −0.248422 | − | 1.64817i | ||||
\(297\) | −5.02947 | + | 3.26568i | −0.291839 | + | 0.189494i | ||||
\(298\) | −14.8645 | + | 4.58508i | −0.861075 | + | 0.265607i | ||||
\(299\) | 53.6248 | − | 25.8243i | 3.10120 | − | 1.49346i | ||||
\(300\) | −31.1053 | − | 7.34556i | −1.79587 | − | 0.424096i | ||||
\(301\) | −10.6831 | + | 12.0760i | −0.615764 | + | 0.696051i | ||||
\(302\) | 22.0198 | + | 1.65015i | 1.26709 | + | 0.0949556i | ||||
\(303\) | 2.29737 | − | 4.68038i | 0.131981 | − | 0.268881i | ||||
\(304\) | −18.6846 | − | 27.4053i | −1.07164 | − | 1.57180i | ||||
\(305\) | −0.233099 | − | 0.0914848i | −0.0133472 | − | 0.00523840i | ||||
\(306\) | −8.49928 | + | 6.57175i | −0.485872 | + | 0.375682i | ||||
\(307\) | −8.47727 | + | 6.76040i | −0.483823 | + | 0.385836i | −0.834805 | − | 0.550546i | \(-0.814419\pi\) |
0.350981 | + | 0.936382i | \(0.385848\pi\) | |||||||
\(308\) | 8.39845 | + | 10.0334i | 0.478546 | + | 0.571709i | ||||
\(309\) | −24.9944 | + | 16.7676i | −1.42188 | + | 0.953873i | ||||
\(310\) | −0.140330 | − | 1.87258i | −0.00797023 | − | 0.106355i | ||||
\(311\) | 2.63236 | + | 11.5331i | 0.149268 | + | 0.653984i | 0.993089 | + | 0.117361i | \(0.0374433\pi\) |
−0.843822 | + | 0.536624i | \(0.819700\pi\) | |||||||
\(312\) | 65.1906 | − | 14.3656i | 3.69069 | − | 0.813291i | ||||
\(313\) | − | 22.3091i | − | 1.26098i | −0.776196 | − | 0.630492i | \(-0.782853\pi\) | ||
0.776196 | − | 0.630492i | \(-0.217147\pi\) | |||||||
\(314\) | 4.44571 | + | 19.4779i | 0.250886 | + | 1.09920i | ||||
\(315\) | −3.67690 | + | 5.49538i | −0.207170 | + | 0.309630i | ||||
\(316\) | 9.00652 | − | 39.4601i | 0.506656 | − | 2.21981i | ||||
\(317\) | −23.7843 | − | 5.42862i | −1.33586 | − | 0.304901i | −0.505837 | − | 0.862629i | \(-0.668816\pi\) |
−0.830024 | + | 0.557728i | \(0.811673\pi\) | |||||||
\(318\) | −14.6549 | − | 21.8452i | −0.821809 | − | 1.22502i | ||||
\(319\) | 1.28439 | − | 1.61058i | 0.0719123 | − | 0.0901752i | ||||
\(320\) | 3.10641 | − | 0.958200i | 0.173653 | − | 0.0535650i | ||||
\(321\) | 3.76507 | + | 0.0282502i | 0.210146 | + | 0.00157677i | ||||
\(322\) | −10.1213 | − | 57.8084i | −0.564036 | − | 3.22153i | ||||
\(323\) | 7.97374 | − | 1.81995i | 0.443671 | − | 0.101265i | ||||
\(324\) | 37.9471 | + | 6.89000i | 2.10817 | + | 0.382778i | ||||
\(325\) | −25.0859 | + | 14.4834i | −1.39152 | + | 0.803392i | ||||
\(326\) | 0.398668 | − | 1.29245i | 0.0220802 | − | 0.0715822i | ||||
\(327\) | 14.1995 | − | 15.0749i | 0.785231 | − | 0.833645i | ||||
\(328\) | 17.7245 | − | 6.95636i | 0.978673 | − | 0.384101i | ||||
\(329\) | 2.88158 | − | 22.7717i | 0.158867 | − | 1.25545i | ||||
\(330\) | 0.653148 | − | 4.12320i | 0.0359546 | − | 0.226975i | ||||
\(331\) | 4.03490 | + | 17.6781i | 0.221778 | + | 0.971675i | 0.956139 | + | 0.292915i | \(0.0946252\pi\) |
−0.734360 | + | 0.678760i | \(0.762518\pi\) | |||||||
\(332\) | 12.8836 | − | 32.8269i | 0.707080 | − | 1.80161i | ||||
\(333\) | −7.31189 | − | 13.1152i | −0.400689 | − | 0.718709i | ||||
\(334\) | 0.323742 | − | 0.127059i | 0.0177144 | − | 0.00695238i | ||||
\(335\) | −2.55493 | − | 1.74192i | −0.139591 | − | 0.0951713i | ||||
\(336\) | 1.55414 | − | 26.5015i | 0.0847852 | − | 1.44578i | ||||
\(337\) | −25.4216 | + | 17.3321i | −1.38480 | + | 0.944141i | −0.385026 | + | 0.922906i | \(0.625808\pi\) |
−0.999775 | + | 0.0212353i | \(0.993240\pi\) | |||||||
\(338\) | 45.5488 | − | 66.8078i | 2.47753 | − | 3.63387i | ||||
\(339\) | 15.5817 | + | 0.116913i | 0.846283 | + | 0.00634985i | ||||
\(340\) | 0.381071 | − | 5.08504i | 0.0206665 | − | 0.275775i | ||||
\(341\) | −1.02608 | + | 0.154657i | −0.0555654 | + | 0.00837513i | ||||
\(342\) | −35.2124 | − | 24.7895i | −1.90407 | − | 1.34046i | ||||
\(343\) | −13.6218 | + | 12.5478i | −0.735509 | + | 0.677515i | ||||
\(344\) | −30.2368 | + | 17.4572i | −1.63026 | + | 0.941230i | ||||
\(345\) | −8.03424 | + | 9.92099i | −0.432549 | + | 0.534128i | ||||
\(346\) | 1.05859 | + | 2.19818i | 0.0569100 | + | 0.118175i | ||||
\(347\) | 5.05250 | + | 1.15320i | 0.271233 | + | 0.0619071i | 0.355974 | − | 0.934496i | \(-0.384149\pi\) |
−0.0847412 | + | 0.996403i | \(0.527006\pi\) | |||||||
\(348\) | −13.1154 | + | 1.87629i | −0.703057 | + | 0.100580i | ||||
\(349\) | −20.3593 | + | 1.52572i | −1.08981 | + | 0.0816699i | −0.607491 | − | 0.794327i | \(-0.707824\pi\) |
−0.482318 | + | 0.875996i | \(0.660205\pi\) | |||||||
\(350\) | 7.01451 | + | 27.6874i | 0.374941 | + | 1.47995i | ||||
\(351\) | 29.3165 | − | 19.0355i | 1.56480 | − | 1.01604i | ||||
\(352\) | 1.29222 | + | 3.29252i | 0.0688755 | + | 0.175492i | ||||
\(353\) | 12.1058 | − | 8.25360i | 0.644327 | − | 0.439295i | −0.196570 | − | 0.980490i | \(-0.562980\pi\) |
0.840897 | + | 0.541195i | \(0.182028\pi\) | |||||||
\(354\) | 25.7902 | + | 4.08538i | 1.37073 | + | 0.217135i | ||||
\(355\) | −7.68013 | − | 8.27721i | −0.407619 | − | 0.439309i | ||||
\(356\) | −72.6371 | + | 10.9483i | −3.84976 | + | 0.580258i | ||||
\(357\) | 5.94306 | + | 2.74416i | 0.314540 | + | 0.145236i | ||||
\(358\) | 45.8007 | + | 6.90334i | 2.42064 | + | 0.364853i | ||||
\(359\) | −12.0674 | − | 17.6997i | −0.636896 | − | 0.934154i | −0.999997 | − | 0.00240462i | \(-0.999235\pi\) |
0.363102 | − | 0.931750i | \(-0.381718\pi\) | |||||||
\(360\) | −11.3271 | + | 8.75822i | −0.596988 | + | 0.461599i | ||||
\(361\) | 6.89130 | + | 11.9361i | 0.362700 | + | 0.628215i | ||||
\(362\) | 24.3643 | 1.28056 | ||||||||
\(363\) | 16.6890 | + | 1.37667i | 0.875947 | + | 0.0722562i | ||||
\(364\) | −48.9542 | − | 58.4845i | −2.56590 | − | 3.06542i | ||||
\(365\) | −2.74822 | + | 2.96187i | −0.143848 | + | 0.155032i | ||||
\(366\) | 1.13529 | − | 0.644149i | 0.0593423 | − | 0.0336702i | ||||
\(367\) | −31.8958 | + | 12.5182i | −1.66495 | + | 0.653444i | −0.995958 | − | 0.0898254i | \(-0.971369\pi\) |
−0.668992 | + | 0.743270i | \(0.733274\pi\) | |||||||
\(368\) | 7.63928 | − | 50.6833i | 0.398225 | − | 2.64205i | ||||
\(369\) | 7.40961 | − | 6.67102i | 0.385729 | − | 0.347280i | ||||
\(370\) | 10.1912 | + | 2.32607i | 0.529813 | + | 0.120926i | ||||
\(371\) | −7.68233 | + | 14.0667i | −0.398847 | + | 0.730306i | ||||
\(372\) | 5.48575 | + | 3.80072i | 0.284423 | + | 0.197058i | ||||
\(373\) | 12.8921 | + | 22.3298i | 0.667528 | + | 1.15619i | 0.978593 | + | 0.205804i | \(0.0659810\pi\) |
−0.311065 | + | 0.950389i | \(0.600686\pi\) | |||||||
\(374\) | −4.13294 | −0.213709 | ||||||||
\(375\) | 7.64691 | − | 11.0371i | 0.394885 | − | 0.569954i | ||||
\(376\) | 21.5661 | − | 44.7824i | 1.11219 | − | 2.30948i | ||||
\(377\) | −7.48668 | + | 9.38800i | −0.385584 | + | 0.483507i | ||||
\(378\) | −10.1992 | − | 32.9225i | −0.524589 | − | 1.69335i | ||||
\(379\) | −15.6481 | − | 19.6221i | −0.803789 | − | 1.00792i | −0.999628 | − | 0.0272831i | \(-0.991314\pi\) |
0.195839 | − | 0.980636i | \(-0.437257\pi\) | |||||||
\(380\) | 19.9268 | − | 4.54816i | 1.02222 | − | 0.233315i | ||||
\(381\) | 1.99061 | − | 12.5664i | 0.101982 | − | 0.643794i | ||||
\(382\) | 41.7920 | + | 20.1260i | 2.13826 | + | 1.02973i | ||||
\(383\) | 9.47923 | + | 1.42876i | 0.484366 | + | 0.0730064i | 0.386686 | − | 0.922211i | \(-0.373620\pi\) |
0.0976800 | + | 0.995218i | \(0.468858\pi\) | |||||||
\(384\) | −10.2619 | + | 25.5808i | −0.523675 | + | 1.30542i | ||||
\(385\) | −2.41209 | + | 0.807180i | −0.122931 | + | 0.0411377i | ||||
\(386\) | 2.36729 | − | 4.91572i | 0.120492 | − | 0.250204i | ||||
\(387\) | −11.6119 | + | 14.1208i | −0.590265 | + | 0.717802i | ||||
\(388\) | 3.37487 | + | 10.9411i | 0.171333 | + | 0.555449i | ||||
\(389\) | −16.9489 | − | 1.27014i | −0.859343 | − | 0.0643988i | −0.362234 | − | 0.932087i | \(-0.617986\pi\) |
−0.497109 | + | 0.867688i | \(0.665605\pi\) | |||||||
\(390\) | −3.80717 | + | 24.0339i | −0.192784 | + | 1.21701i | ||||
\(391\) | 10.9455 | + | 6.31937i | 0.553536 | + | 0.319584i | ||||
\(392\) | −36.5957 | + | 16.4064i | −1.84836 | + | 0.828650i | ||||
\(393\) | 3.63354 | − | 11.4733i | 0.183288 | − | 0.578751i | ||||
\(394\) | −12.7698 | − | 16.0129i | −0.643335 | − | 0.806716i | ||||
\(395\) | 6.50095 | + | 4.43227i | 0.327098 | + | 0.223012i | ||||
\(396\) | 9.92700 | + | 11.0261i | 0.498850 | + | 0.554081i | ||||
\(397\) | 27.8297 | + | 2.08555i | 1.39673 | + | 0.104671i | 0.751711 | − | 0.659492i | \(-0.229229\pi\) |
0.645023 | + | 0.764163i | \(0.276848\pi\) | |||||||
\(398\) | 4.18161 | + | 55.7997i | 0.209605 | + | 2.79699i | ||||
\(399\) | −3.48916 | + | 26.0050i | −0.174676 | + | 1.30188i | ||||
\(400\) | −1.86415 | + | 24.8754i | −0.0932077 | + | 1.24377i | ||||
\(401\) | −3.09304 | + | 20.5210i | −0.154459 | + | 1.02477i | 0.768494 | + | 0.639857i | \(0.221007\pi\) |
−0.922953 | + | 0.384913i | \(0.874232\pi\) | |||||||
\(402\) | 15.4379 | − | 4.63539i | 0.769972 | − | 0.231192i | ||||
\(403\) | 5.98098 | − | 0.901488i | 0.297934 | − | 0.0449063i | ||||
\(404\) | −12.3265 | − | 3.80221i | −0.613264 | − | 0.189167i | ||||
\(405\) | −3.94181 | + | 6.37746i | −0.195870 | + | 0.316899i | ||||
\(406\) | 6.89991 | + | 9.62167i | 0.342437 | + | 0.477515i | ||||
\(407\) | 0.860922 | − | 5.71185i | 0.0426743 | − | 0.283126i | ||||
\(408\) | 10.3185 | + | 9.71929i | 0.510843 | + | 0.481176i | ||||
\(409\) | 23.3181 | − | 5.32220i | 1.15300 | − | 0.263166i | 0.397055 | − | 0.917795i | \(-0.370032\pi\) |
0.755950 | + | 0.654629i | \(0.227175\pi\) | |||||||
\(410\) | 6.94079i | 0.342781i | ||||||||
\(411\) | −1.01691 | − | 4.61470i | −0.0501604 | − | 0.227626i | ||||
\(412\) | 50.6489 | + | 54.5866i | 2.49529 | + | 2.68929i | ||||
\(413\) | −5.04883 | − | 15.0874i | −0.248437 | − | 0.742401i | ||||
\(414\) | −13.8326 | − | 65.0921i | −0.679835 | − | 3.19910i | ||||
\(415\) | 5.02527 | + | 4.66276i | 0.246681 | + | 0.228886i | ||||
\(416\) | −7.53228 | − | 19.1919i | −0.369301 | − | 0.940962i | ||||
\(417\) | 34.5700 | + | 16.9688i | 1.69290 | + | 0.830964i | ||||
\(418\) | −4.88286 | − | 15.8299i | −0.238829 | − | 0.774263i | ||||
\(419\) | 0.219673 | + | 0.203827i | 0.0107317 | + | 0.00995758i | 0.685520 | − | 0.728053i | \(-0.259575\pi\) |
−0.674789 | + | 0.738011i | \(0.735765\pi\) | |||||||
\(420\) | 14.8520 | + | 6.85779i | 0.724704 | + | 0.334626i | ||||
\(421\) | −3.34072 | + | 3.09974i | −0.162817 | + | 0.151072i | −0.757374 | − | 0.652981i | \(-0.773518\pi\) |
0.594557 | + | 0.804053i | \(0.297327\pi\) | |||||||
\(422\) | 6.44812 | + | 3.72282i | 0.313890 | + | 0.181224i | ||||
\(423\) | 2.33421 | − | 25.9217i | 0.113493 | − | 1.26036i | ||||
\(424\) | −25.4425 | + | 23.6072i | −1.23560 | + | 1.14647i | ||||
\(425\) | −5.54188 | − | 2.66883i | −0.268820 | − | 0.129457i | ||||
\(426\) | 58.7252 | − | 3.95799i | 2.84524 | − | 0.191765i | ||||
\(427\) | −0.667559 | − | 0.432298i | −0.0323054 | − | 0.0209203i | ||||
\(428\) | −1.38840 | − | 9.21141i | −0.0671107 | − | 0.445250i | ||||
\(429\) | 13.4010 | + | 1.10544i | 0.647006 | + | 0.0533711i | ||||
\(430\) | −1.89688 | − | 12.5850i | −0.0914755 | − | 0.606901i | ||||
\(431\) | 24.3695 | − | 1.82624i | 1.17384 | − | 0.0879669i | 0.526503 | − | 0.850174i | \(-0.323503\pi\) |
0.647334 | + | 0.762207i | \(0.275884\pi\) | |||||||
\(432\) | 0.677506 | − | 30.0939i | 0.0325965 | − | 1.44789i | ||||
\(433\) | 3.49907 | + | 7.26589i | 0.168155 | + | 0.349176i | 0.967969 | − | 0.251071i | \(-0.0807829\pi\) |
−0.799814 | + | 0.600248i | \(0.795069\pi\) | |||||||
\(434\) | 0.748732 | − | 5.91687i | 0.0359403 | − | 0.284019i | ||||
\(435\) | 0.591930 | − | 2.50657i | 0.0283809 | − | 0.120181i | ||||
\(436\) | −42.3341 | − | 28.8629i | −2.02744 | − | 1.38228i | ||||
\(437\) | −11.2727 | + | 49.3890i | −0.539247 | + | 2.36260i | ||||
\(438\) | −2.98272 | − | 20.8493i | −0.142520 | − | 0.996218i | ||||
\(439\) | 1.19432 | − | 0.952438i | 0.0570018 | − | 0.0454574i | −0.594574 | − | 0.804041i | \(-0.702679\pi\) |
0.651576 | + | 0.758583i | \(0.274108\pi\) | |||||||
\(440\) | −5.50800 | −0.262584 | ||||||||
\(441\) | −14.9226 | + | 14.7755i | −0.710600 | + | 0.703596i | ||||
\(442\) | 24.0907 | 1.14588 | ||||||||
\(443\) | −18.1322 | + | 14.4599i | −0.861487 | + | 0.687013i | −0.951073 | − | 0.308966i | \(-0.900017\pi\) |
0.0895861 | + | 0.995979i | \(0.471446\pi\) | |||||||
\(444\) | −29.2184 | + | 22.9444i | −1.38664 | + | 1.08889i | ||||
\(445\) | 3.17755 | − | 13.9218i | 0.150630 | − | 0.659954i | ||||
\(446\) | 11.4053 | + | 7.77600i | 0.540057 | + | 0.368204i | ||||
\(447\) | 7.82298 | + | 7.36866i | 0.370014 | + | 0.348526i | ||||
\(448\) | 10.2747 | − | 1.01562i | 0.485433 | − | 0.0479834i | ||||
\(449\) | 7.71521 | + | 16.0208i | 0.364103 | + | 0.756069i | 0.999875 | − | 0.0158086i | \(-0.00503225\pi\) |
−0.635772 | + | 0.771877i | \(0.719318\pi\) | |||||||
\(450\) | 9.08060 | + | 31.0873i | 0.428063 | + | 1.46547i | ||||
\(451\) | 3.82469 | − | 0.286621i | 0.180097 | − | 0.0134964i | ||||
\(452\) | −5.74586 | − | 38.1213i | −0.270263 | − | 1.79308i | ||||
\(453\) | −6.51581 | − | 13.7940i | −0.306139 | − | 0.648100i | ||||
\(454\) | −2.23412 | − | 14.8224i | −0.104853 | − | 0.695652i | ||||
\(455\) | 14.0599 | − | 4.70502i | 0.659140 | − | 0.220575i | ||||
\(456\) | −25.0357 | + | 51.0045i | −1.17240 | + | 2.38851i | ||||
\(457\) | −6.52434 | − | 3.14196i | −0.305196 | − | 0.146975i | 0.275017 | − | 0.961439i | \(-0.411316\pi\) |
−0.580213 | + | 0.814465i | \(0.697031\pi\) | |||||||
\(458\) | −17.2367 | + | 15.9933i | −0.805416 | + | 0.747317i | ||||
\(459\) | 6.84662 | + | 2.86657i | 0.319573 | + | 0.133800i | ||||
\(460\) | 27.3533 | + | 15.7924i | 1.27535 | + | 0.736325i | ||||
\(461\) | −22.4653 | + | 20.8447i | −1.04631 | + | 0.970837i | −0.999606 | − | 0.0280719i | \(-0.991063\pi\) |
−0.0467073 | + | 0.998909i | \(0.514873\pi\) | |||||||
\(462\) | 4.64308 | − | 12.4191i | 0.216016 | − | 0.577791i | ||||
\(463\) | −21.8033 | − | 20.2305i | −1.01329 | − | 0.940193i | −0.0150703 | − | 0.999886i | \(-0.504797\pi\) |
−0.998217 | + | 0.0596934i | \(0.980988\pi\) | |||||||
\(464\) | 3.04795 | + | 9.88122i | 0.141498 | + | 0.458724i | ||||
\(465\) | −1.07737 | + | 0.722756i | −0.0499618 | + | 0.0335170i | ||||
\(466\) | 22.9883 | + | 58.5732i | 1.06491 | + | 2.71335i | ||||
\(467\) | 30.8136 | + | 28.5908i | 1.42588 | + | 1.32302i | 0.871170 | + | 0.490982i | \(0.163362\pi\) |
0.554712 | + | 0.832042i | \(0.312828\pi\) | |||||||
\(468\) | −57.8640 | − | 64.2705i | −2.67477 | − | 2.97090i | ||||
\(469\) | −6.84894 | − | 7.03884i | −0.316255 | − | 0.325023i | ||||
\(470\) | 12.3237 | + | 13.2818i | 0.568451 | + | 0.612644i | ||||
\(471\) | 10.1884 | − | 9.31214i | 0.469455 | − | 0.429081i | ||||
\(472\) | − | 34.4520i | − | 1.58578i | ||||||
\(473\) | −6.85655 | + | 1.56496i | −0.315264 | + | 0.0719570i | ||||
\(474\) | −39.2813 | + | 11.7946i | −1.80425 | + | 0.541745i | ||||
\(475\) | 3.67460 | − | 24.3794i | 0.168602 | − | 1.11860i | ||||
\(476\) | 4.40522 | − | 15.5849i | 0.201913 | − | 0.714334i | ||||
\(477\) | −8.13013 | + | 16.2539i | −0.372253 | + | 0.744213i | ||||
\(478\) | −15.8962 | − | 4.90333i | −0.727076 | − | 0.224273i | ||||
\(479\) | 9.02307 | − | 1.36001i | 0.412275 | − | 0.0621404i | 0.0603696 | − | 0.998176i | \(-0.480772\pi\) |
0.351905 | + | 0.936036i | \(0.385534\pi\) | |||||||
\(480\) | 3.21900 | + | 3.03206i | 0.146927 | + | 0.138394i | ||||
\(481\) | −5.01828 | + | 33.2941i | −0.228814 | + | 1.51808i | ||||
\(482\) | −0.885077 | + | 11.8105i | −0.0403142 | + | 0.537955i | ||||
\(483\) | −31.2857 | + | 25.7908i | −1.42355 | + | 1.17352i | ||||
\(484\) | −3.09612 | − | 41.3148i | −0.140733 | − | 1.87795i | ||||
\(485\) | −2.21955 | − | 0.166332i | −0.100785 | − | 0.00755276i | ||||
\(486\) | −12.9034 | − | 36.8894i | −0.585309 | − | 1.67334i | ||||
\(487\) | −6.83637 | − | 4.66096i | −0.309785 | − | 0.211208i | 0.398440 | − | 0.917194i | \(-0.369552\pi\) |
−0.708226 | + | 0.705986i | \(0.750504\pi\) | |||||||
\(488\) | −1.07378 | − | 1.34648i | −0.0486079 | − | 0.0609524i | ||||
\(489\) | −0.912539 | + | 0.201090i | −0.0412665 | + | 0.00909359i | ||||
\(490\) | −0.693471 | − | 14.6028i | −0.0313278 | − | 0.659685i | ||||
\(491\) | −26.8398 | − | 15.4960i | −1.21127 | − | 0.699324i | −0.248230 | − | 0.968701i | \(-0.579849\pi\) |
−0.963035 | + | 0.269377i | \(0.913182\pi\) | |||||||
\(492\) | −19.1698 | − | 15.5241i | −0.864239 | − | 0.699880i | ||||
\(493\) | −2.54268 | − | 0.190548i | −0.114517 | − | 0.00858183i | ||||
\(494\) | 28.4620 | + | 92.2715i | 1.28057 | + | 4.15149i | ||||
\(495\) | −2.70027 | + | 1.01328i | −0.121368 | + | 0.0455437i | ||||
\(496\) | 2.26001 | − | 4.69296i | 0.101478 | − | 0.210720i | ||||
\(497\) | −18.6628 | − | 30.6233i | −0.837140 | − | 1.37364i | ||||
\(498\) | −35.3740 | + | 5.06063i | −1.58515 | + | 0.226772i | ||||
\(499\) | 10.2015 | + | 1.53762i | 0.456680 | + | 0.0688335i | 0.373354 | − | 0.927689i | \(-0.378208\pi\) |
0.0833261 | + | 0.996522i | \(0.473446\pi\) | |||||||
\(500\) | −29.9308 | − | 14.4139i | −1.33854 | − | 0.644609i | ||||
\(501\) | −0.186725 | − | 0.151214i | −0.00834224 | − | 0.00675573i | ||||
\(502\) | −51.8208 | + | 11.8278i | −2.31288 | + | 0.527899i | ||||
\(503\) | 8.72340 | + | 10.9388i | 0.388957 | + | 0.487737i | 0.937303 | − | 0.348515i | \(-0.113314\pi\) |
−0.548346 | + | 0.836251i | \(0.684742\pi\) | |||||||
\(504\) | −40.7978 | + | 20.0873i | −1.81728 | + | 0.894761i | ||||
\(505\) | 1.56347 | − | 1.96053i | 0.0695734 | − | 0.0872422i | ||||
\(506\) | 11.1071 | − | 23.0641i | 0.493771 | − | 1.02533i | ||||
\(507\) | −55.6734 | − | 4.59246i | −2.47254 | − | 0.203958i | ||||
\(508\) | −31.4782 | −1.39662 | ||||||||
\(509\) | 3.46160 | + | 5.99567i | 0.153433 | + | 0.265754i | 0.932487 | − | 0.361203i | \(-0.117634\pi\) |
−0.779054 | + | 0.626956i | \(0.784300\pi\) | |||||||
\(510\) | −4.67217 | + | 2.20697i | −0.206887 | + | 0.0977261i | ||||
\(511\) | −10.4284 | + | 7.47841i | −0.461324 | + | 0.330826i | ||||
\(512\) | 47.4062 | + | 10.8202i | 2.09508 | + | 0.478188i | ||||
\(513\) | −2.89049 | + | 29.6104i | −0.127618 | + | 1.30733i | ||||
\(514\) | 7.80928 | − | 51.8112i | 0.344453 | − | 2.28529i | ||||
\(515\) | −13.4749 | + | 5.28852i | −0.593777 | + | 0.233040i | ||||
\(516\) | 39.0011 | + | 22.9091i | 1.71693 | + | 1.00852i | ||||
\(517\) | 6.80996 | − | 7.33940i | 0.299502 | − | 0.322786i | ||||
\(518\) | 30.2454 | + | 13.6912i | 1.32891 | + | 0.601556i | ||||
\(519\) | 0.959948 | − | 1.38553i | 0.0421370 | − | 0.0608182i | ||||
\(520\) | 32.1059 | 1.40794 | ||||||||
\(521\) | 11.6063 | + | 20.1027i | 0.508482 | + | 0.880716i | 0.999952 | + | 0.00982161i | \(0.00312637\pi\) |
−0.491470 | + | 0.870894i | \(0.663540\pi\) | |||||||
\(522\) | 8.21208 | + | 10.6207i | 0.359433 | + | 0.464857i | ||||
\(523\) | −9.16729 | − | 13.4459i | −0.400857 | − | 0.587950i | 0.571743 | − | 0.820433i | \(-0.306267\pi\) |
−0.972600 | + | 0.232483i | \(0.925315\pi\) | |||||||
\(524\) | −29.4431 | − | 4.43783i | −1.28623 | − | 0.193868i | ||||
\(525\) | 14.2455 | − | 13.6546i | 0.621726 | − | 0.595936i | ||||
\(526\) | 48.8465 | − | 7.36242i | 2.12981 | − | 0.321017i | ||||
\(527\) | 0.873610 | + | 0.941527i | 0.0380550 | + | 0.0410136i | ||||
\(528\) | 7.28754 | − | 8.99894i | 0.317149 | − | 0.391628i | ||||
\(529\) | −45.6776 | + | 31.1425i | −1.98598 | + | 1.35402i | ||||
\(530\) | −4.62220 | − | 11.7772i | −0.200776 | − | 0.511568i | ||||
\(531\) | −6.33800 | − | 16.8899i | −0.275046 | − | 0.732959i | ||||
\(532\) | 64.8974 | − | 1.54009i | 2.81366 | − | 0.0667714i | ||||
\(533\) | −22.2939 | + | 1.67070i | −0.965657 | + | 0.0723660i | ||||
\(534\) | 45.9719 | + | 58.5426i | 1.98940 | + | 2.53339i | ||||
\(535\) | 1.76547 | + | 0.402958i | 0.0763281 | + | 0.0174214i | ||||
\(536\) | −9.22750 | − | 19.1611i | −0.398567 | − | 0.827633i | ||||
\(537\) | −11.4670 | − | 29.8747i | −0.494839 | − | 1.28919i | ||||
\(538\) | −5.90068 | + | 3.40676i | −0.254396 | + | 0.146876i | ||||
\(539\) | −8.01814 | + | 0.985156i | −0.345366 | + | 0.0424337i | ||||
\(540\) | 17.1100 | + | 7.16369i | 0.736299 | + | 0.308276i | ||||
\(541\) | −20.8110 | + | 3.13676i | −0.894735 | + | 0.134860i | −0.580284 | − | 0.814414i | \(-0.697059\pi\) |
−0.314451 | + | 0.949274i | \(0.601820\pi\) | |||||||
\(542\) | 2.48838 | − | 33.2052i | 0.106885 | − | 1.42628i | ||||
\(543\) | −8.30672 | − | 14.6402i | −0.356475 | − | 0.628273i | ||||
\(544\) | 2.46622 | − | 3.61728i | 0.105738 | − | 0.155089i | ||||
\(545\) | 8.22954 | − | 5.61080i | 0.352515 | − | 0.240340i | ||||
\(546\) | −27.0643 | + | 72.3906i | −1.15825 | + | 3.09803i | ||||
\(547\) | 29.4620 | + | 20.0868i | 1.25970 | + | 0.858851i | 0.994438 | − | 0.105325i | \(-0.0335883\pi\) |
0.265265 | + | 0.964176i | \(0.414541\pi\) | |||||||
\(548\) | −10.8830 | + | 4.27127i | −0.464899 | + | 0.182460i | ||||
\(549\) | −0.774124 | − | 0.462566i | −0.0330388 | − | 0.0197418i | ||||
\(550\) | −4.55165 | + | 11.5974i | −0.194083 | + | 0.494516i | ||||
\(551\) | −2.27422 | − | 9.96401i | −0.0968850 | − | 0.424481i | ||||
\(552\) | −81.9697 | + | 31.4630i | −3.48886 | + | 1.33916i | ||||
\(553\) | 17.4269 | + | 17.9101i | 0.741069 | + | 0.761617i | ||||
\(554\) | −13.7733 | + | 5.40563i | −0.585172 | + | 0.229663i | ||||
\(555\) | −2.07685 | − | 6.91680i | −0.0881572 | − | 0.293602i | ||||
\(556\) | 28.0837 | − | 91.0451i | 1.19101 | − | 3.86117i | ||||
\(557\) | 35.0916 | − | 20.2602i | 1.48688 | − | 0.858450i | 0.486992 | − | 0.873407i | \(-0.338094\pi\) |
0.999888 | + | 0.0149561i | \(0.00476085\pi\) | |||||||
\(558\) | 0.606506 | − | 6.73535i | 0.0256755 | − | 0.285130i | ||||
\(559\) | 39.9665 | − | 9.12210i | 1.69040 | − | 0.385824i | ||||
\(560\) | 3.47289 | − | 12.2865i | 0.146757 | − | 0.519200i | ||||
\(561\) | 1.40908 | + | 2.48344i | 0.0594912 | + | 0.104851i | ||||
\(562\) | −9.73661 | + | 3.00335i | −0.410714 | + | 0.126689i | ||||
\(563\) | 13.6353 | − | 17.0981i | 0.574658 | − | 0.720598i | −0.406533 | − | 0.913636i | \(-0.633263\pi\) |
0.981191 | + | 0.193038i | \(0.0618340\pi\) | |||||||
\(564\) | −64.2469 | + | 4.33014i | −2.70528 | + | 0.182332i | ||||
\(565\) | 7.30640 | + | 1.66764i | 0.307382 | + | 0.0701580i | ||||
\(566\) | 8.00662 | − | 35.0793i | 0.336543 | − | 1.47449i | ||||
\(567\) | −16.3055 | + | 17.3531i | −0.684767 | + | 0.728762i | ||||
\(568\) | −17.2806 | − | 75.7110i | −0.725076 | − | 3.17677i | ||||
\(569\) | − | 30.0707i | − | 1.26063i | −0.776340 | − | 0.630315i | \(-0.782926\pi\) | ||
0.776340 | − | 0.630315i | \(-0.217074\pi\) | |||||||
\(570\) | −13.9730 | − | 15.2878i | −0.585264 | − | 0.640334i | ||||
\(571\) | −4.86505 | − | 21.3152i | −0.203596 | − | 0.892012i | −0.968725 | − | 0.248136i | \(-0.920182\pi\) |
0.765129 | − | 0.643877i | \(-0.222675\pi\) | |||||||
\(572\) | −2.48613 | − | 33.1751i | −0.103950 | − | 1.38712i | ||||
\(573\) | −2.15500 | − | 31.9740i | −0.0900265 | − | 1.33573i | ||||
\(574\) | −4.39404 | + | 21.6018i | −0.183404 | + | 0.901642i | ||||
\(575\) | 29.7871 | − | 23.7544i | 1.24221 | − | 0.990628i | ||||
\(576\) | 11.6013 | − | 1.57096i | 0.483387 | − | 0.0654565i | ||||
\(577\) | 21.4568 | + | 8.42119i | 0.893260 | + | 0.350579i | 0.767173 | − | 0.641440i | \(-0.221663\pi\) |
0.126087 | + | 0.992019i | \(0.459758\pi\) | |||||||
\(578\) | −21.1268 | − | 30.9874i | −0.878761 | − | 1.28891i | ||||
\(579\) | −3.76090 | + | 0.253479i | −0.156298 | + | 0.0105342i | ||||
\(580\) | −6.35428 | − | 0.476188i | −0.263847 | − | 0.0197726i | ||||
\(581\) | 12.6883 | + | 17.6933i | 0.526398 | + | 0.734041i | ||||
\(582\) | 7.95509 | − | 8.44556i | 0.329749 | − | 0.350080i | ||||
\(583\) | −6.29888 | + | 3.03338i | −0.260873 | + | 0.125630i | ||||
\(584\) | −26.5542 | + | 8.19088i | −1.09882 | + | 0.338941i | ||||
\(585\) | 15.7397 | − | 5.90639i | 0.650758 | − | 0.244199i | ||||
\(586\) | 5.71742 | + | 37.9326i | 0.236184 | + | 1.56698i | ||||
\(587\) | 21.6956 | + | 37.5779i | 0.895474 | + | 1.55101i | 0.833217 | + | 0.552945i | \(0.186496\pi\) |
0.0622561 | + | 0.998060i | \(0.480170\pi\) | |||||||
\(588\) | 41.8824 | + | 30.7459i | 1.72720 | + | 1.26794i | ||||
\(589\) | −2.57408 | + | 4.45844i | −0.106063 | + | 0.183707i | ||||
\(590\) | 11.6904 | + | 4.58815i | 0.481287 | + | 0.188891i | ||||
\(591\) | −5.26823 | + | 13.1326i | −0.216706 | + | 0.540205i | ||||
\(592\) | 21.2553 | + | 19.7220i | 0.873587 | + | 0.810570i | ||||
\(593\) | 0.979320 | − | 13.0681i | 0.0402159 | − | 0.536643i | −0.940318 | − | 0.340296i | \(-0.889473\pi\) |
0.980534 | − | 0.196348i | \(-0.0629081\pi\) | |||||||
\(594\) | 4.75355 | − | 14.2627i | 0.195041 | − | 0.585204i | ||||
\(595\) | 2.50734 | + | 1.90400i | 0.102791 | + | 0.0780565i | ||||
\(596\) | 14.9781 | − | 21.9689i | 0.613528 | − | 0.899880i | ||||
\(597\) | 32.1038 | − | 21.5369i | 1.31392 | − | 0.881447i | ||||
\(598\) | −64.7428 | + | 134.440i | −2.64753 | + | 5.49765i | ||||
\(599\) | 5.99247 | − | 4.77883i | 0.244845 | − | 0.195258i | −0.493376 | − | 0.869816i | \(-0.664237\pi\) |
0.738222 | + | 0.674558i | \(0.235666\pi\) | |||||||
\(600\) | 38.6371 | − | 18.2508i | 1.57735 | − | 0.745086i | ||||
\(601\) | 8.79659 | + | 3.45241i | 0.358821 | + | 0.140827i | 0.537902 | − | 0.843008i | \(-0.319217\pi\) |
−0.179081 | + | 0.983834i | \(0.557312\pi\) | |||||||
\(602\) | 2.06357 | − | 40.3690i | 0.0841047 | − | 1.64532i | ||||
\(603\) | −8.04871 | − | 7.69607i | −0.327769 | − | 0.313408i | ||||
\(604\) | −31.1854 | + | 21.2618i | −1.26891 | + | 0.865132i | ||||
\(605\) | 7.69610 | + | 2.37393i | 0.312891 | + | 0.0965140i | ||||
\(606\) | 2.81294 | + | 12.7650i | 0.114268 | + | 0.518544i | ||||
\(607\) | 4.77811 | − | 2.75865i | 0.193938 | − | 0.111970i | −0.399887 | − | 0.916564i | \(-0.630951\pi\) |
0.593825 | + | 0.804595i | \(0.297617\pi\) | |||||||
\(608\) | 16.7685 | + | 5.17239i | 0.680052 | + | 0.209768i | ||||
\(609\) | 3.42911 | − | 7.42647i | 0.138955 | − | 0.300936i | ||||
\(610\) | 0.599897 | − | 0.185044i | 0.0242891 | − | 0.00749220i | ||||
\(611\) | −39.6950 | + | 42.7810i | −1.60589 | + | 1.73073i | ||||
\(612\) | 4.35458 | − | 17.8403i | 0.176023 | − | 0.721150i | ||||
\(613\) | −32.8880 | − | 4.95707i | −1.32833 | − | 0.200214i | −0.553749 | − | 0.832683i | \(-0.686803\pi\) |
−0.774586 | + | 0.632469i | \(0.782042\pi\) | |||||||
\(614\) | 6.04889 | − | 26.5019i | 0.244113 | − | 1.06953i | ||||
\(615\) | 4.17064 | − | 2.36638i | 0.168176 | − | 0.0954215i | ||||
\(616\) | −17.1426 | − | 3.48698i | −0.690693 | − | 0.140494i | ||||
\(617\) | −10.8770 | + | 35.2622i | −0.437890 | + | 1.41960i | 0.420822 | + | 0.907143i | \(0.361742\pi\) |
−0.858711 | + | 0.512460i | \(0.828734\pi\) | |||||||
\(618\) | 22.7815 | − | 71.9350i | 0.916405 | − | 2.89365i | ||||
\(619\) | −18.5138 | − | 10.6890i | −0.744134 | − | 0.429626i | 0.0794365 | − | 0.996840i | \(-0.474688\pi\) |
−0.823570 | + | 0.567214i | \(0.808021\pi\) | |||||||
\(620\) | 2.18319 | + | 2.35292i | 0.0876792 | + | 0.0944957i | ||||
\(621\) | −34.3970 | + | 30.5042i | −1.38031 | + | 1.22409i | ||||
\(622\) | −23.1873 | − | 18.4913i | −0.929726 | − | 0.741432i | ||||
\(623\) | 18.7030 | − | 41.3171i | 0.749320 | − | 1.65533i | ||||
\(624\) | −42.4788 | + | 52.4544i | −1.70051 | + | 2.09986i | ||||
\(625\) | −11.0488 | + | 10.2518i | −0.441952 | + | 0.410072i | ||||
\(626\) | 34.8717 | + | 43.7277i | 1.39375 | + | 1.74771i | ||||
\(627\) | −7.84723 | + | 8.33105i | −0.313388 | + | 0.332710i | ||||
\(628\) | −26.6993 | − | 21.2920i | −1.06542 | − | 0.849643i | ||||
\(629\) | −6.44174 | + | 3.10218i | −0.256849 | + | 0.123692i | ||||
\(630\) | −1.38288 | − | 16.5188i | −0.0550951 | − | 0.658127i | ||||
\(631\) | −6.13206 | − | 2.95304i | −0.244113 | − | 0.117559i | 0.307827 | − | 0.951442i | \(-0.400398\pi\) |
−0.551941 | + | 0.833883i | \(0.686112\pi\) | |||||||
\(632\) | 23.4791 | + | 48.7549i | 0.933949 | + | 1.93936i | ||||
\(633\) | 0.0385955 | − | 5.14385i | 0.00153403 | − | 0.204450i | ||||
\(634\) | 55.1049 | − | 26.5371i | 2.18850 | − | 1.05392i | ||||
\(635\) | 2.23559 | − | 5.69620i | 0.0887168 | − | 0.226047i | ||||
\(636\) | 42.8656 | + | 13.5753i | 1.69973 | + | 0.538297i | ||||
\(637\) | 46.7374 | − | 5.74243i | 1.85180 | − | 0.227523i | ||||
\(638\) | 5.16454i | 0.204466i | ||||||||
\(639\) | −22.3999 | − | 33.9379i | −0.886128 | − | 1.34256i | ||||
\(640\) | −7.46750 | + | 10.9528i | −0.295179 | + | 0.432948i | ||||
\(641\) | −1.47224 | + | 1.58669i | −0.0581499 | + | 0.0626707i | −0.761457 | − | 0.648216i | \(-0.775516\pi\) |
0.703307 | + | 0.710886i | \(0.251706\pi\) | |||||||
\(642\) | −7.42403 | + | 5.82988i | −0.293003 | + | 0.230087i | ||||
\(643\) | 2.94034 | + | 4.31269i | 0.115956 | + | 0.170076i | 0.879829 | − | 0.475291i | \(-0.157657\pi\) |
−0.763873 | + | 0.645366i | \(0.776705\pi\) | |||||||
\(644\) | 75.1338 | + | 66.4674i | 2.96069 | + | 2.61918i | ||||
\(645\) | −6.91544 | + | 5.43050i | −0.272295 | + | 0.213826i | ||||
\(646\) | −12.7844 | + | 16.0312i | −0.502996 | + | 0.630737i | ||||
\(647\) | −1.31398 | − | 17.5339i | −0.0516580 | − | 0.689329i | −0.961576 | − | 0.274540i | \(-0.911475\pi\) |
0.909918 | − | 0.414789i | \(-0.136145\pi\) | |||||||
\(648\) | −45.4090 | + | 24.4302i | −1.78383 | + | 0.959709i | ||||
\(649\) | 2.04552 | − | 6.63142i | 0.0802938 | − | 0.260306i | ||||
\(650\) | 26.5314 | − | 67.6008i | 1.04065 | − | 2.65152i | ||||
\(651\) | −3.81065 | + | 1.56738i | −0.149351 | + | 0.0614304i | ||||
\(652\) | 0.844627 | + | 2.15207i | 0.0330781 | + | 0.0842817i | ||||
\(653\) | −1.13448 | + | 0.0850177i | −0.0443957 | + | 0.00332700i | −0.0969094 | − | 0.995293i | \(-0.530896\pi\) |
0.0525137 | + | 0.998620i | \(0.483277\pi\) | |||||||
\(654\) | −4.26829 | + | 51.7436i | −0.166903 | + | 2.02333i | ||||
\(655\) | 2.89412 | − | 5.01276i | 0.113083 | − | 0.195865i | ||||
\(656\) | −9.62631 | + | 16.6733i | −0.375844 | + | 0.650981i | ||||
\(657\) | −11.5112 | + | 8.90060i | −0.449094 | + | 0.347245i | ||||
\(658\) | 29.9467 | + | 49.1388i | 1.16745 | + | 1.91563i | ||||
\(659\) | 11.8957 | + | 38.5649i | 0.463390 | + | 1.50227i | 0.822383 | + | 0.568934i | \(0.192644\pi\) |
−0.358993 | + | 0.933340i | \(0.616880\pi\) | |||||||
\(660\) | 3.52135 | + | 6.20623i | 0.137068 | + | 0.241577i | ||||
\(661\) | −14.6884 | − | 11.7136i | −0.571313 | − | 0.455607i | 0.294727 | − | 0.955581i | \(-0.404771\pi\) |
−0.866040 | + | 0.499975i | \(0.833343\pi\) | |||||||
\(662\) | −35.5417 | − | 28.3435i | −1.38137 | − | 1.10160i | ||||
\(663\) | −8.21344 | − | 14.4758i | −0.318984 | − | 0.562195i | ||||
\(664\) | 13.8971 | + | 45.0532i | 0.539311 | + | 1.74840i | ||||
\(665\) | −4.33035 | + | 11.8530i | −0.167924 | + | 0.459641i | ||||
\(666\) | 34.8325 | + | 14.2776i | 1.34973 | + | 0.553246i | ||||
\(667\) | 7.89671 | − | 13.6775i | 0.305762 | − | 0.529595i | ||||
\(668\) | −0.297232 | + | 0.514821i | −0.0115002 | + | 0.0199190i | ||||
\(669\) | 0.784015 | − | 9.50445i | 0.0303118 | − | 0.367463i | ||||
\(670\) | 7.73071 | − | 0.579337i | 0.298663 | − | 0.0223817i | ||||
\(671\) | −0.126740 | − | 0.322929i | −0.00489275 | − | 0.0124665i | ||||
\(672\) | 8.09898 | + | 11.4745i | 0.312425 | + | 0.442640i | ||||
\(673\) | −7.80883 | + | 19.8966i | −0.301008 | + | 0.766956i | 0.697712 | + | 0.716378i | \(0.254202\pi\) |
−0.998720 | + | 0.0505779i | \(0.983894\pi\) | |||||||
\(674\) | 22.7363 | − | 73.7094i | 0.875770 | − | 2.83918i | ||||
\(675\) | 15.5841 | − | 16.0553i | 0.599832 | − | 0.617968i | ||||
\(676\) | 10.3284 | + | 137.823i | 0.397247 | + | 5.30089i | ||||
\(677\) | 4.68811 | − | 5.87870i | 0.180179 | − | 0.225937i | −0.683538 | − | 0.729915i | \(-0.739559\pi\) |
0.863716 | + | 0.503978i | \(0.168131\pi\) | |||||||
\(678\) | −30.7243 | + | 24.1269i | −1.17996 | + | 0.926588i | ||||
\(679\) | −6.80261 | − | 1.92282i | −0.261060 | − | 0.0737910i | ||||
\(680\) | 3.84050 | + | 5.63298i | 0.147277 | + | 0.216015i | ||||
\(681\) | −8.14495 | + | 6.39599i | −0.312115 | + | 0.245095i | ||||
\(682\) | 1.76946 | − | 1.90703i | 0.0677562 | − | 0.0730238i | ||||
\(683\) | −22.4818 | + | 32.9747i | −0.860241 | + | 1.26174i | 0.103426 | + | 0.994637i | \(0.467019\pi\) |
−0.963667 | + | 0.267105i | \(0.913933\pi\) | |||||||
\(684\) | 73.4759 | − | 4.39864i | 2.80942 | − | 0.168186i | ||||
\(685\) | − | 2.27271i | − | 0.0868356i | ||||||
\(686\) | 7.08635 | − | 45.8872i | 0.270558 | − | 1.75198i | ||||
\(687\) | 15.4868 | + | 4.90460i | 0.590858 | + | 0.187122i | ||||
\(688\) | 12.8976 | − | 32.8626i | 0.491717 | − | 1.25287i | ||||
\(689\) | 36.7159 | − | 17.6814i | 1.39876 | − | 0.673609i | ||||
\(690\) | 0.240137 | − | 32.0045i | 0.00914185 | − | 1.21839i | ||||
\(691\) | −0.246820 | − | 0.512527i | −0.00938948 | − | 0.0194974i | 0.896221 | − | 0.443607i | \(-0.146301\pi\) |
−0.905611 | + | 0.424110i | \(0.860587\pi\) | |||||||
\(692\) | −3.75733 | − | 1.80944i | −0.142832 | − | 0.0687844i | ||||
\(693\) | −9.04552 | + | 1.44418i | −0.343611 | + | 0.0548597i | ||||
\(694\) | −11.7059 | + | 5.63728i | −0.444351 | + | 0.213988i | ||||
\(695\) | 14.4807 | + | 11.5480i | 0.549286 | + | 0.438041i | ||||
\(696\) | 12.1453 | − | 12.8941i | 0.460365 | − | 0.488748i | ||||
\(697\) | −2.95992 | − | 3.71162i | −0.112115 | − | 0.140588i | ||||
\(698\) | 37.5211 | − | 34.8145i | 1.42020 | − | 1.31775i | ||||
\(699\) | 27.3584 | − | 33.7832i | 1.03479 | − | 1.27780i | ||||
\(700\) | −38.8812 | − | 29.5253i | −1.46957 | − | 1.11595i | ||||
\(701\) | −19.6933 | − | 15.7049i | −0.743804 | − | 0.593164i | 0.176531 | − | 0.984295i | \(-0.443512\pi\) |
−0.920335 | + | 0.391131i | \(0.872084\pi\) | |||||||
\(702\) | −27.7083 | + | 83.1364i | −1.04578 | + | 3.13778i | ||||
\(703\) | −19.4924 | − | 21.0079i | −0.735171 | − | 0.792326i | ||||
\(704\) | 3.90023 | + | 2.25180i | 0.146996 | + | 0.0848679i | ||||
\(705\) | 3.77927 | − | 11.9335i | 0.142336 | − | 0.449440i | ||||
\(706\) | −10.8271 | + | 35.1006i | −0.407483 | + | 1.32103i | ||||
\(707\) | 6.10714 | − | 5.11195i | 0.229683 | − | 0.192255i | ||||
\(708\) | −38.8194 | + | 22.0257i | −1.45892 | + | 0.827777i | ||||
\(709\) | 10.8790 | − | 47.6642i | 0.408571 | − | 1.79007i | −0.182238 | − | 0.983254i | \(-0.558334\pi\) |
0.590809 | − | 0.806811i | \(-0.298809\pi\) | |||||||
\(710\) | 27.9920 | + | 4.21911i | 1.05052 | + | 0.158340i | ||||
\(711\) | 20.4797 | + | 19.5824i | 0.768050 | + | 0.734399i | ||||
\(712\) | 66.8002 | − | 71.9935i | 2.50344 | − | 2.69807i | ||||
\(713\) | −7.60204 | + | 2.34492i | −0.284699 | + | 0.0878179i | ||||
\(714\) | −15.9384 | + | 3.91091i | −0.596478 | + | 0.146362i | ||||
\(715\) | 6.17983 | + | 1.90623i | 0.231113 | + | 0.0712888i | ||||
\(716\) | −68.5642 | + | 39.5855i | −2.56236 | + | 1.47938i | ||||
\(717\) | 2.47326 | + | 11.2236i | 0.0923656 | + | 0.419152i | ||||
\(718\) | 51.3199 | + | 15.8301i | 1.91524 | + | 0.590774i | ||||
\(719\) | 31.2935 | − | 21.3355i | 1.16705 | − | 0.795681i | 0.184711 | − | 0.982793i | \(-0.440865\pi\) |
0.982339 | + | 0.187112i | \(0.0599128\pi\) | |||||||
\(720\) | 3.43297 | − | 14.0645i | 0.127939 | − | 0.524154i | ||||
\(721\) | −45.2861 | + | 7.92883i | −1.68654 | + | 0.295285i | ||||
\(722\) | −32.1650 | − | 12.6238i | −1.19706 | − | 0.469811i | ||||
\(723\) | 7.39857 | − | 3.49482i | 0.275156 | − | 0.129974i | ||||
\(724\) | −32.5600 | + | 25.9657i | −1.21008 | + | 0.965008i | ||||
\(725\) | −3.33497 | + | 6.92515i | −0.123858 | + | 0.257193i | ||||
\(726\) | −34.8638 | + | 23.3885i | −1.29392 | + | 0.868030i | ||||
\(727\) | −23.7625 | + | 34.8531i | −0.881301 | + | 1.29263i | 0.0740798 | + | 0.997252i | \(0.476398\pi\) |
−0.955380 | + | 0.295378i | \(0.904554\pi\) | |||||||
\(728\) | 99.9232 | + | 20.3254i | 3.70340 | + | 0.753311i | ||||
\(729\) | −17.7672 | + | 20.3305i | −0.658043 | + | 0.752980i | ||||
\(730\) | 0.756989 | − | 10.1013i | 0.0280174 | − | 0.373866i | ||||
\(731\) | 6.38126 | + | 5.92094i | 0.236019 | + | 0.218994i | ||||
\(732\) | −0.830686 | + | 2.07073i | −0.0307030 | + | 0.0765365i | ||||
\(733\) | 25.9763 | + | 10.1950i | 0.959457 | + | 0.376559i | 0.792818 | − | 0.609459i | \(-0.208613\pi\) |
0.166639 | + | 0.986018i | \(0.446708\pi\) | |||||||
\(734\) | 42.9512 | − | 74.3937i | 1.58536 | − | 2.74592i | ||||
\(735\) | −8.53820 | + | 5.39533i | −0.314936 | + | 0.199010i | ||||
\(736\) | 13.5586 | + | 23.4842i | 0.499776 | + | 0.865637i | ||||
\(737\) | −0.638481 | − | 4.23604i | −0.0235187 | − | 0.156037i | ||||
\(738\) | −4.09589 | + | 24.6579i | −0.150772 | + | 0.907669i | ||||
\(739\) | −35.5187 | + | 10.9561i | −1.30658 | + | 0.403025i | −0.868400 | − | 0.495864i | \(-0.834852\pi\) |
−0.438176 | + | 0.898889i | \(0.644375\pi\) | |||||||
\(740\) | −16.0982 | + | 7.75249i | −0.591782 | + | 0.284987i | ||||
\(741\) | 45.7411 | − | 48.5613i | 1.68034 | − | 1.78395i | ||||
\(742\) | −6.92984 | − | 39.5803i | −0.254403 | − | 1.45304i | ||||
\(743\) | −4.14853 | − | 0.310889i | −0.152195 | − | 0.0114054i | −0.00158514 | − | 0.999999i | \(-0.500505\pi\) |
−0.150610 | + | 0.988593i | \(0.548124\pi\) | |||||||
\(744\) | −8.90242 | + | 0.600010i | −0.326378 | + | 0.0219974i | ||||
\(745\) | 2.91167 | + | 4.27064i | 0.106675 | + | 0.156464i | ||||
\(746\) | −60.1737 | − | 23.6165i | −2.20312 | − | 0.864660i | ||||
\(747\) | 15.1012 | + | 19.5305i | 0.552524 | + | 0.714583i | ||||
\(748\) | 5.52318 | − | 4.40459i | 0.201947 | − | 0.161048i | ||||
\(749\) | 5.23958 | + | 2.37180i | 0.191450 | + | 0.0866638i | ||||
\(750\) | 2.26370 | + | 33.5867i | 0.0826585 | + | 1.22641i | ||||
\(751\) | −2.87161 | − | 38.3189i | −0.104786 | − | 1.39828i | −0.763463 | − | 0.645852i | \(-0.776502\pi\) |
0.658676 | − | 0.752426i | \(-0.271117\pi\) | |||||||
\(752\) | 11.1834 | + | 48.9977i | 0.407817 | + | 1.78676i | ||||
\(753\) | 24.7748 | + | 27.1060i | 0.902846 | + | 0.987798i | ||||
\(754\) | − | 30.1039i | − | 1.09632i | ||||||
\(755\) | −1.63268 | − | 7.15324i | −0.0594193 | − | 0.260333i | ||||
\(756\) | 48.7164 | + | 33.1275i | 1.77180 | + | 1.20484i | ||||
\(757\) | −9.29088 | + | 40.7060i | −0.337683 | + | 1.47948i | 0.466191 | + | 0.884684i | \(0.345626\pi\) |
−0.803873 | + | 0.594800i | \(0.797231\pi\) | |||||||
\(758\) | 61.3433 | + | 14.0012i | 2.22809 | + | 0.508546i | ||||
\(759\) | −17.6458 | + | 1.18930i | −0.640502 | + | 0.0431689i | ||||
\(760\) | −17.0379 | + | 21.3648i | −0.618029 | + | 0.774984i | ||||
\(761\) | −10.9344 | + | 3.37282i | −0.396373 | + | 0.122265i | −0.486532 | − | 0.873663i | \(-0.661738\pi\) |
0.0901597 | + | 0.995927i | \(0.471262\pi\) | |||||||
\(762\) | 15.7409 | + | 27.7427i | 0.570233 | + | 1.00501i | ||||
\(763\) | 29.1649 | − | 12.2526i | 1.05584 | − | 0.443574i | ||||
\(764\) | −77.2987 | + | 17.6429i | −2.79657 | + | 0.638299i | ||||
\(765\) | 2.91906 | + | 2.05502i | 0.105539 | + | 0.0742992i | ||||
\(766\) | −20.8134 | + | 12.0166i | −0.752020 | + | 0.434179i | ||||
\(767\) | −11.9233 | + | 38.6542i | −0.430524 | + | 1.39572i | ||||
\(768\) | −15.9841 | − | 53.2340i | −0.576776 | − | 1.92092i | ||||
\(769\) | 9.73580 | − | 3.82102i | 0.351082 | − | 0.137789i | −0.183245 | − | 0.983067i | \(-0.558660\pi\) |
0.534327 | + | 0.845278i | \(0.320565\pi\) | |||||||
\(770\) | 3.46618 | − | 5.35252i | 0.124912 | − | 0.192891i | ||||
\(771\) | −33.7953 | + | 12.9719i | −1.21711 | + | 0.467171i | ||||
\(772\) | 2.07523 | + | 9.09216i | 0.0746890 | + | 0.327234i | ||||
\(773\) | 9.11812 | − | 23.2326i | 0.327956 | − | 0.835618i | −0.667864 | − | 0.744283i | \(-0.732791\pi\) |
0.995820 | − | 0.0913351i | \(-0.0291134\pi\) | |||||||
\(774\) | 0.687766 | − | 45.8288i | 0.0247212 | − | 1.64728i | ||||
\(775\) | 3.60413 | − | 1.41452i | 0.129464 | − | 0.0508109i | ||||
\(776\) | −12.6481 | − | 8.62330i | −0.454039 | − | 0.309559i | ||||
\(777\) | −2.08491 | − | 22.8420i | −0.0747959 | − | 0.819451i | ||||
\(778\) | 35.2067 | − | 24.0035i | 1.26222 | − | 0.860568i | ||||
\(779\) | 10.7191 | − | 15.7221i | 0.384053 | − | 0.563302i | ||||
\(780\) | −20.5258 | − | 36.1759i | −0.734941 | − | 1.29530i | ||||
\(781\) | 1.16899 | − | 15.5991i | 0.0418297 | − | 0.558179i | ||||
\(782\) | −31.3320 | + | 4.72254i | −1.12043 | + | 0.168878i | ||||
\(783\) | 3.58207 | − | 8.55556i | 0.128013 | − | 0.305751i | ||||
\(784\) | 18.5870 | − | 36.0407i | 0.663820 | − | 1.28717i | ||||
\(785\) | 5.74913 | − | 3.31926i | 0.205195 | − | 0.118470i | ||||
\(786\) | 10.8121 | + | 28.1683i | 0.385653 | + | 1.00473i | ||||
\(787\) | −4.89541 | − | 10.1654i | −0.174503 | − | 0.362359i | 0.795313 | − | 0.606200i | \(-0.207307\pi\) |
−0.969815 | + | 0.243841i | \(0.921592\pi\) | |||||||
\(788\) | 34.1307 | + | 7.79011i | 1.21586 | + | 0.277511i | ||||
\(789\) | −21.0776 | − | 26.8412i | −0.750383 | − | 0.955571i | ||||
\(790\) | −19.6706 | + | 1.47411i | −0.699848 | + | 0.0524463i | ||||
\(791\) | 21.6840 | + | 9.81568i | 0.770993 | + | 0.349006i | ||||
\(792\) | −19.5678 | − | 3.25038i | −0.695310 | − | 0.115497i | ||||
\(793\) | 0.738763 | + | 1.88234i | 0.0262342 | + | 0.0668437i | ||||
\(794\) | −57.8087 | + | 39.4133i | −2.05155 | + | 1.39873i | ||||
\(795\) | −5.50089 | + | 6.79271i | −0.195096 | + | 0.240913i | ||||
\(796\) | −65.0555 | − | 70.1132i | −2.30583 | − | 2.48509i | ||||
\(797\) | −13.6943 | + | 2.06409i | −0.485077 | + | 0.0731137i | −0.387028 | − | 0.922068i | \(-0.626498\pi\) |
−0.0980493 | + | 0.995182i | \(0.531260\pi\) | |||||||
\(798\) | −33.8098 | − | 56.4260i | −1.19685 | − | 1.99746i | ||||
\(799\) | −12.2542 | − | 1.84703i | −0.433524 | − | 0.0653432i | ||||
\(800\) | −7.43434 | − | 10.9042i | −0.262844 | − | 0.385521i | ||||
\(801\) | 19.5041 | − | 47.5834i | 0.689143 | − | 1.68128i | ||||
\(802\) | −26.0141 | − | 45.0577i | −0.918590 | − | 1.59104i | ||||
\(803\) | −5.59754 | −0.197533 | ||||||||
\(804\) | −15.6908 | + | 22.6472i | −0.553372 | + | 0.798706i | ||||
\(805\) | −17.3638 | + | 8.87545i | −0.611993 | + | 0.312819i | ||||
\(806\) | −10.3141 | + | 11.1160i | −0.363299 | + | 0.391543i | ||||
\(807\) | 4.05885 | + | 2.38416i | 0.142878 | + | 0.0839264i | ||||
\(808\) | 16.0542 | − | 6.30079i | 0.564783 | − | 0.221661i | ||||
\(809\) | 3.17531 | − | 21.0668i | 0.111638 | − | 0.740670i | −0.861044 | − | 0.508530i | \(-0.830189\pi\) |
0.972682 | − | 0.232140i | \(-0.0745729\pi\) | |||||||
\(810\) | −2.24243 | − | 18.6619i | −0.0787908 | − | 0.655712i | ||||
\(811\) | 24.8357 | + | 5.66859i | 0.872100 | + | 0.199051i | 0.635073 | − | 0.772452i | \(-0.280970\pi\) |
0.237027 | + | 0.971503i | \(0.423827\pi\) | |||||||
\(812\) | −19.4750 | − | 5.50478i | −0.683438 | − | 0.193180i | ||||
\(813\) | −20.8010 | + | 9.82566i | −0.729523 | + | 0.344601i | ||||
\(814\) | 7.24080 | + | 12.5414i | 0.253790 | + | 0.439577i | ||||
\(815\) | −0.449419 | −0.0157425 | ||||||||
\(816\) | −14.2844 | − | 1.17831i | −0.500055 | − | 0.0412492i | ||||
\(817\) | −15.1391 | + | 31.4366i | −0.529649 | + | 1.09983i | ||||
\(818\) | −37.3862 | + | 46.8809i | −1.30718 | + | 1.63915i | ||||
\(819\) | 52.7260 | − | 8.41803i | 1.84239 | − | 0.294150i | ||||
\(820\) | −7.39698 | − | 9.27552i | −0.258314 | − | 0.323915i | ||||
\(821\) | −38.0017 | + | 8.67365i | −1.32627 | + | 0.302713i | −0.826251 | − | 0.563302i | \(-0.809531\pi\) |
−0.500019 | + | 0.866014i | \(0.666674\pi\) | |||||||
\(822\) | 9.20655 | + | 7.45567i | 0.321115 | + | 0.260046i | ||||
\(823\) | 27.9565 | + | 13.4631i | 0.974501 | + | 0.469295i | 0.852210 | − | 0.523199i | \(-0.175262\pi\) |
0.122291 | + | 0.992494i | \(0.460976\pi\) | |||||||
\(824\) | −98.4453 | − | 14.8382i | −3.42951 | − | 0.516915i | ||||
\(825\) | 8.52059 | − | 1.21896i | 0.296649 | − | 0.0424388i | ||||
\(826\) | 33.4795 | + | 21.6806i | 1.16490 | + | 0.754365i | ||||
\(827\) | −8.43466 | + | 17.5148i | −0.293302 | + | 0.609048i | −0.994596 | − | 0.103825i | \(-0.966892\pi\) |
0.701294 | + | 0.712872i | \(0.252606\pi\) | |||||||
\(828\) | 87.8560 | + | 72.2459i | 3.05321 | + | 2.51072i | ||||
\(829\) | 3.63553 | + | 11.7861i | 0.126267 | + | 0.409348i | 0.996529 | − | 0.0832405i | \(-0.0265270\pi\) |
−0.870262 | + | 0.492588i | \(0.836051\pi\) | |||||||
\(830\) | −17.1384 | − | 1.28435i | −0.594883 | − | 0.0445803i | ||||
\(831\) | 7.94402 | + | 6.43325i | 0.275575 | + | 0.223167i | ||||
\(832\) | −22.7343 | − | 13.1256i | −0.788170 | − | 0.455050i | ||||
\(833\) | 6.59823 | + | 7.51317i | 0.228615 | + | 0.260316i | ||||
\(834\) | −94.2845 | + | 20.7768i | −3.26480 | + | 0.719441i | ||||
\(835\) | −0.0720509 | − | 0.0903490i | −0.00249342 | − | 0.00312666i | ||||
\(836\) | 23.3957 | + | 15.9509i | 0.809156 | + | 0.551673i | ||||
\(837\) | −4.25398 | + | 1.93189i | −0.147039 | + | 0.0667760i | ||||
\(838\) | −0.749183 | − | 0.0561435i | −0.0258801 | − | 0.00193944i | ||||
\(839\) | 0.564461 | + | 7.53221i | 0.0194874 | + | 0.260041i | 0.998435 | + | 0.0559283i | \(0.0178118\pi\) |
−0.978947 | + | 0.204113i | \(0.934569\pi\) | |||||||
\(840\) | −21.2412 | + | 5.21210i | −0.732890 | + | 0.179835i | ||||
\(841\) | 1.92906 | − | 25.7416i | 0.0665194 | − | 0.887640i | ||||
\(842\) | 1.70285 | − | 11.2977i | 0.0586842 | − | 0.389344i | ||||
\(843\) | 5.12425 | + | 4.82667i | 0.176489 | + | 0.166239i | ||||
\(844\) | −12.5847 | + | 1.89683i | −0.433182 | + | 0.0652916i | ||||
\(845\) | −25.6736 | − | 7.91926i | −0.883199 | − | 0.272431i | ||||
\(846\) | 35.9435 | + | 54.4575i | 1.23576 | + | 1.87229i | ||||
\(847\) | 22.4497 | + | 12.2606i | 0.771380 | + | 0.421279i | ||||
\(848\) | 5.23047 | − | 34.7019i | 0.179615 | − | 1.19167i | ||||
\(849\) | −23.8085 | + | 7.14877i | −0.817106 | + | 0.245345i | ||||
\(850\) | 15.0342 | − | 3.43147i | 0.515670 | − | 0.117698i | ||||
\(851\) | − | 44.2855i | − | 1.51809i | ||||||
\(852\) | −74.2610 | + | 67.8744i | −2.54414 | + | 2.32534i | ||||
\(853\) | −29.6323 | − | 31.9360i | −1.01459 | − | 1.09347i | −0.995605 | − | 0.0936483i | \(-0.970147\pi\) |
−0.0189848 | − | 0.999820i | \(-0.506043\pi\) | |||||||
\(854\) | 1.98421 | − | 0.196132i | 0.0678981 | − | 0.00671149i | ||||
\(855\) | −4.42233 | + | 13.6084i | −0.151240 | + | 0.465397i | ||||
\(856\) | 9.12979 | + | 8.47121i | 0.312050 | + | 0.289540i | ||||
\(857\) | −5.69784 | − | 14.5179i | −0.194635 | − | 0.495921i | 0.799924 | − | 0.600102i | \(-0.204873\pi\) |
−0.994558 | + | 0.104181i | \(0.966778\pi\) | |||||||
\(858\) | −27.9951 | + | 18.7806i | −0.955735 | + | 0.641158i | ||||
\(859\) | 11.6270 | + | 37.6937i | 0.396707 | + | 1.28609i | 0.905185 | + | 0.425017i | \(0.139732\pi\) |
−0.508479 | + | 0.861075i | \(0.669792\pi\) | |||||||
\(860\) | 15.9471 | + | 14.7967i | 0.543791 | + | 0.504564i | ||||
\(861\) | 14.4784 | − | 4.72455i | 0.493422 | − | 0.161012i | ||||
\(862\) | −44.9117 | + | 41.6719i | −1.52970 | + | 1.41935i | ||||
\(863\) | 13.9109 | + | 8.03147i | 0.473533 | + | 0.273394i | 0.717717 | − | 0.696334i | \(-0.245187\pi\) |
−0.244185 | + | 0.969729i | \(0.578520\pi\) | |||||||
\(864\) | 9.64657 | + | 12.6713i | 0.328183 | + | 0.431086i | ||||
\(865\) | 0.594277 | − | 0.551409i | 0.0202060 | − | 0.0187485i | ||||
\(866\) | −18.2159 | − | 8.77233i | −0.619002 | − | 0.298096i | ||||
\(867\) | −11.4170 | + | 23.2597i | −0.387743 | + | 0.789939i | ||||
\(868\) | 5.30518 | + | 8.70513i | 0.180070 | + | 0.295471i | ||||
\(869\) | 1.62460 | + | 10.7785i | 0.0551107 | + | 0.365636i | ||||
\(870\) | 2.75783 | + | 5.83836i | 0.0934993 | + | 0.197939i | ||||
\(871\) | 3.72168 | + | 24.6917i | 0.126104 | + | 0.836647i | ||||
\(872\) | 68.3111 | − | 5.11921i | 2.31331 | − | 0.173358i | ||||
\(873\) | −7.78703 | − | 1.90071i | −0.263551 | − | 0.0643294i | ||||
\(874\) | −55.1053 | − | 114.427i | −1.86396 | − | 3.87056i | ||||
\(875\) | 17.5144 | − | 10.6738i | 0.592095 | − | 0.360841i | ||||
\(876\) | 26.2057 | + | 24.6838i | 0.885409 | + | 0.833989i | ||||
\(877\) | 3.17896 | + | 2.16738i | 0.107346 | + | 0.0731871i | 0.615803 | − | 0.787900i | \(-0.288832\pi\) |
−0.508457 | + | 0.861087i | \(0.669784\pi\) | |||||||
\(878\) | −0.852198 | + | 3.73372i | −0.0287603 | + | 0.126007i | ||||
\(879\) | 20.8440 | − | 16.3682i | 0.703051 | − | 0.552085i | ||||
\(880\) | 4.35425 | − | 3.47240i | 0.146782 | − | 0.117054i | ||||
\(881\) | 22.9301 | 0.772535 | 0.386268 | − | 0.922387i | \(-0.373764\pi\) | ||||
0.386268 | + | 0.922387i | \(0.373764\pi\) | |||||||
\(882\) | 6.15374 | − | 52.2871i | 0.207207 | − | 1.76060i | ||||
\(883\) | 38.4505 | 1.29396 | 0.646982 | − | 0.762505i | \(-0.276031\pi\) | ||||
0.646982 | + | 0.762505i | \(0.276031\pi\) | |||||||
\(884\) | −32.1944 | + | 25.6741i | −1.08281 | + | 0.863515i | ||||
\(885\) | −1.22874 | − | 8.58892i | −0.0413036 | − | 0.288713i | ||||
\(886\) | 12.9381 | − | 56.6855i | 0.434664 | − | 1.90439i | ||||
\(887\) | −42.8288 | − | 29.2001i | −1.43805 | − | 0.980445i | −0.996534 | − | 0.0831913i | \(-0.973489\pi\) |
−0.441515 | − | 0.897254i | \(-0.645559\pi\) | |||||||
\(888\) | 11.4154 | − | 48.3396i | 0.383077 | − | 1.62217i | ||||
\(889\) | 10.5640 | − | 16.3130i | 0.354304 | − | 0.547120i | ||||
\(890\) | 15.5331 | + | 32.2547i | 0.520669 | + | 1.08118i | ||||
\(891\) | −10.1909 | + | 2.00632i | −0.341409 | + | 0.0672143i | ||||
\(892\) | −23.5289 | + | 1.76325i | −0.787806 | + | 0.0590379i | ||||
\(893\) | −7.40334 | − | 49.1179i | −0.247743 | − | 1.64367i | ||||
\(894\) | −26.8518 | − | 2.21499i | −0.898059 | − | 0.0740802i | ||||
\(895\) | −2.29383 | − | 15.2186i | −0.0766742 | − | 0.508700i | ||||
\(896\) | −30.1751 | + | 29.3610i | −1.00808 | + | 0.980881i | ||||
\(897\) | 102.857 | − | 6.93239i | 3.43428 | − | 0.231466i | ||||
\(898\) | −40.1649 | − | 19.3424i | −1.34032 | − | 0.645464i | ||||
\(899\) | 1.17654 | − | 1.09167i | 0.0392397 | − | 0.0364091i | ||||
\(900\) | −45.2657 | − | 31.8670i | −1.50886 | − | 1.06223i | ||||
\(901\) | 7.49416 | + | 4.32675i | 0.249667 | + | 0.144145i | ||||
\(902\) | −7.04869 | + | 6.54023i | −0.234696 | + | 0.217766i | ||||
\(903\) | −24.9608 | + | 12.5234i | −0.830645 | + | 0.416751i | ||||
\(904\) | 37.7836 | + | 35.0580i | 1.25666 | + | 1.16601i | ||||
\(905\) | −2.38626 | − | 7.73606i | −0.0793219 | − | 0.257155i | ||||
\(906\) | 34.3332 | + | 16.8525i | 1.14065 | + | 0.559887i | ||||
\(907\) | −3.48154 | − | 8.87082i | −0.115603 | − | 0.294551i | 0.861348 | − | 0.508015i | \(-0.169621\pi\) |
−0.976951 | + | 0.213464i | \(0.931525\pi\) | |||||||
\(908\) | 18.7823 | + | 17.4275i | 0.623313 | + | 0.578350i | ||||
\(909\) | 6.71132 | − | 6.04234i | 0.222601 | − | 0.200412i | ||||
\(910\) | −20.2042 | + | 31.1996i | −0.669763 | + | 1.03426i | ||||
\(911\) | 15.5665 | + | 16.7766i | 0.515740 | + | 0.555835i | 0.936196 | − | 0.351477i | \(-0.114321\pi\) |
−0.420457 | + | 0.907313i | \(0.638130\pi\) | |||||||
\(912\) | −12.3632 | − | 56.1039i | −0.409387 | − | 1.85778i | ||||
\(913\) | 9.49707i | 0.314307i | ||||||||
\(914\) | 17.6995 | − | 4.03980i | 0.585448 | − | 0.133625i | ||||
\(915\) | −0.315718 | − | 0.297383i | −0.0104373 | − | 0.00983117i | ||||
\(916\) | 5.99024 | − | 39.7427i | 0.197923 | − | 1.31313i | ||||
\(917\) | 12.1808 | − | 13.7690i | 0.402246 | − | 0.454693i | ||||
\(918\) | −17.9007 | + | 5.08335i | −0.590813 | + | 0.167775i | ||||
\(919\) | −7.47379 | − | 2.30536i | −0.246538 | − | 0.0760468i | 0.169024 | − | 0.985612i | \(-0.445939\pi\) |
−0.415561 | + | 0.909565i | \(0.636415\pi\) | |||||||
\(920\) | −41.7564 | + | 6.29376i | −1.37667 | + | 0.207499i | ||||
\(921\) | −17.9870 | + | 5.40080i | −0.592692 | + | 0.177962i | ||||
\(922\) | 11.4512 | − | 75.9734i | 0.377124 | − | 2.50205i | ||||
\(923\) | −6.81398 | + | 90.9263i | −0.224285 | + | 2.99288i | ||||
\(924\) | 7.03049 | + | 21.5449i | 0.231286 | + | 0.708777i | ||||
\(925\) | 1.61065 | + | 21.4926i | 0.0529577 | + | 0.706672i | ||||
\(926\) | 74.3592 | + | 5.57245i | 2.44359 | + | 0.183122i | ||||
\(927\) | −50.9920 | + | 10.8362i | −1.67480 | + | 0.355908i | ||||
\(928\) | −4.52016 | − | 3.08179i | −0.148382 | − | 0.101165i | ||||
\(929\) | −6.61934 | − | 8.30039i | −0.217174 | − | 0.272327i | 0.661296 | − | 0.750125i | \(-0.270007\pi\) |
−0.878470 | + | 0.477798i | \(0.841435\pi\) | |||||||
\(930\) | 0.981983 | − | 3.10072i | 0.0322005 | − | 0.101677i | ||||
\(931\) | −20.9812 | + | 34.1487i | −0.687631 | + | 1.11918i | ||||
\(932\) | −93.1442 | − | 53.7768i | −3.05104 | − | 1.76152i | ||||
\(933\) | −3.20576 | + | 20.2374i | −0.104952 | + | 0.662542i | ||||
\(934\) | −105.088 | − | 7.87526i | −3.43859 | − | 0.257686i | ||||
\(935\) | 0.404783 | + | 1.31227i | 0.0132378 | + | 0.0429159i | ||||
\(936\) | 114.060 | + | 18.9463i | 3.72816 | + | 0.619279i | ||||
\(937\) | −4.28277 | + | 8.89326i | −0.139912 | + | 0.290530i | −0.959137 | − | 0.282942i | \(-0.908690\pi\) |
0.819225 | + | 0.573472i | \(0.194404\pi\) | |||||||
\(938\) | 24.4271 | + | 3.09105i | 0.797571 | + | 0.100926i | ||||
\(939\) | 14.3864 | − | 35.8625i | 0.469483 | − | 1.17033i | ||||
\(940\) | −30.6240 | − | 4.61582i | −0.998843 | − | 0.150551i | ||||
\(941\) | −3.87556 | − | 1.86637i | −0.126340 | − | 0.0608419i | 0.369646 | − | 0.929173i | \(-0.379479\pi\) |
−0.495986 | + | 0.868331i | \(0.665193\pi\) | |||||||
\(942\) | −5.41411 | + | 34.1782i | −0.176401 | + | 1.11359i | ||||
\(943\) | 28.6676 | − | 6.54319i | 0.933545 | − | 0.213076i | ||||
\(944\) | 21.7195 | + | 27.2354i | 0.706910 | + | 0.886437i | ||||
\(945\) | −9.45452 | + | 6.46285i | −0.307555 | + | 0.210237i | ||||
\(946\) | 10.9932 | − | 13.7850i | 0.357420 | − | 0.448191i | ||||
\(947\) | −13.4515 | + | 27.9324i | −0.437116 | + | 0.907682i | 0.559756 | + | 0.828657i | \(0.310895\pi\) |
−0.996873 | + | 0.0790244i | \(0.974820\pi\) | |||||||
\(948\) | 39.9248 | − | 57.6252i | 1.29670 | − | 1.87158i | ||||
\(949\) | 32.6278 | 1.05914 | ||||||||
\(950\) | 30.9053 | + | 53.5296i | 1.00270 | + | 1.73673i | ||||
\(951\) | −34.7332 | − | 24.0644i | −1.12630 | − | 0.780342i | ||||
\(952\) | 8.38670 | + | 19.9629i | 0.271814 | + | 0.647000i | ||||
\(953\) | 45.4138 | + | 10.3654i | 1.47110 | + | 0.335768i | 0.881598 | − | 0.472001i | \(-0.156468\pi\) |
0.589498 | + | 0.807770i | \(0.299325\pi\) | |||||||
\(954\) | −9.47092 | − | 44.5673i | −0.306632 | − | 1.44292i | ||||
\(955\) | 2.29718 | − | 15.2408i | 0.0743349 | − | 0.493180i | ||||
\(956\) | 26.4690 | − | 10.3883i | 0.856068 | − | 0.335982i | ||||
\(957\) | 3.10331 | − | 1.76079i | 0.100316 | − | 0.0569181i | ||||
\(958\) | −15.5602 | + | 16.7699i | −0.502726 | + | 0.541810i | ||||
\(959\) | 1.43879 | − | 7.07334i | 0.0464610 | − | 0.228410i | ||||
\(960\) | 5.61155 | + | 0.462892i | 0.181112 | + | 0.0149398i | ||||
\(961\) | 30.1915 | 0.973921 | ||||||||
\(962\) | −42.2063 | − | 73.1035i | −1.36079 | − | 2.35695i | ||||
\(963\) | 6.03424 | + | 2.47339i | 0.194451 | + | 0.0797039i | ||||
\(964\) | −11.4040 | − | 16.7266i | −0.367298 | − | 0.538728i | ||||
\(965\) | −1.79267 | − | 0.270202i | −0.0577082 | − | 0.00869811i | ||||
\(966\) | 21.0086 | − | 99.4554i | 0.675940 | − | 3.19993i | ||||
\(967\) | 4.49881 | − | 0.678086i | 0.144672 | − | 0.0218058i | −0.0763070 | − | 0.997084i | \(-0.524313\pi\) |
0.220979 | + | 0.975279i | \(0.429075\pi\) | |||||||
\(968\) | 37.6759 | + | 40.6049i | 1.21095 | + | 1.30509i | ||||
\(969\) | 13.9916 | + | 2.21639i | 0.449476 | + | 0.0712007i | ||||
\(970\) | 4.61051 | − | 3.14339i | 0.148035 | − | 0.100928i | ||||
\(971\) | 2.86738 | + | 7.30595i | 0.0920185 | + | 0.234459i | 0.969472 | − | 0.245203i | \(-0.0788545\pi\) |
−0.877453 | + | 0.479662i | \(0.840759\pi\) | |||||||
\(972\) | 56.5578 | + | 35.5467i | 1.81409 | + | 1.14016i | ||||
\(973\) | 37.7577 | + | 45.1083i | 1.21046 | + | 1.44610i | ||||
\(974\) | 20.6855 | − | 1.55016i | 0.662806 | − | 0.0496704i | ||||
\(975\) | −49.6661 | + | 7.10527i | −1.59059 | + | 0.227551i | ||||
\(976\) | 1.69772 | + | 0.387494i | 0.0543427 | + | 0.0124034i | ||||
\(977\) | 3.22201 | + | 6.69057i | 0.103081 | + | 0.214050i | 0.946130 | − | 0.323786i | \(-0.104956\pi\) |
−0.843049 | + | 0.537837i | \(0.819242\pi\) | |||||||
\(978\) | 1.47433 | − | 1.82056i | 0.0471439 | − | 0.0582151i | ||||
\(979\) | 17.1324 | − | 9.89138i | 0.547553 | − | 0.316130i | ||||
\(980\) | 16.4893 | + | 18.7758i | 0.526731 | + | 0.599770i | ||||
\(981\) | 32.5474 | − | 15.0766i | 1.03916 | − | 0.481358i | ||||
\(982\) | 76.8305 | − | 11.5803i | 2.45176 | − | 0.369543i | ||||
\(983\) | −0.320184 | + | 4.27256i | −0.0102123 | + | 0.136273i | −0.999979 | − | 0.00641874i | \(-0.997957\pi\) |
0.989767 | + | 0.142692i | \(0.0455759\pi\) | |||||||
\(984\) | 32.9786 | + | 0.247446i | 1.05132 | + | 0.00788829i | ||||
\(985\) | −3.83365 | + | 5.62293i | −0.122150 | + | 0.179162i | ||||
\(986\) | 5.28172 | − | 3.60102i | 0.168204 | − | 0.114680i | ||||
\(987\) | 19.3170 | − | 34.7479i | 0.614867 | − | 1.10604i | ||||
\(988\) | −136.372 | − | 92.9770i | −4.33858 | − | 2.95799i | ||||
\(989\) | −50.1915 | + | 19.6987i | −1.59600 | + | 0.626383i | ||||
\(990\) | 3.70887 | − | 6.20696i | 0.117876 | − | 0.197270i | ||||
\(991\) | 17.1865 | − | 43.7906i | 0.545949 | − | 1.39105i | −0.345708 | − | 0.938342i | \(-0.612361\pi\) |
0.891657 | − | 0.452712i | \(-0.149544\pi\) | |||||||
\(992\) | 0.613210 | + | 2.68665i | 0.0194694 | + | 0.0853012i | ||||
\(993\) | −4.91382 | + | 31.0200i | −0.155935 | + | 0.984389i | ||||
\(994\) | 84.4484 | + | 30.8522i | 2.67854 | + | 0.978571i | ||||
\(995\) | 17.3077 | − | 6.79279i | 0.548692 | − | 0.215346i | ||||
\(996\) | 41.8798 | − | 44.4619i | 1.32701 | − | 1.40883i | ||||
\(997\) | −6.04723 | + | 19.6046i | −0.191518 | + | 0.620885i | 0.807981 | + | 0.589209i | \(0.200561\pi\) |
−0.999498 | + | 0.0316758i | \(0.989916\pi\) | |||||||
\(998\) | −22.3992 | + | 12.9322i | −0.709036 | + | 0.409362i | ||||
\(999\) | −3.29648 | − | 25.7983i | −0.104296 | − | 0.816221i |
(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 | 441.2.bn.a.5.5 | yes | 648 | |
9.2 | odd | 6 | 441.2.bd.a.299.5 | yes | 648 | ||
49.10 | odd | 42 | 441.2.bd.a.59.5 | ✓ | 648 | ||
441.353 | even | 42 | inner | 441.2.bn.a.353.5 | yes | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
441.2.bd.a.59.5 | ✓ | 648 | 49.10 | odd | 42 | ||
441.2.bd.a.299.5 | yes | 648 | 9.2 | odd | 6 | ||
441.2.bn.a.5.5 | yes | 648 | 1.1 | even | 1 | trivial | |
441.2.bn.a.353.5 | yes | 648 | 441.353 | even | 42 | inner |