Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,6,Mod(361,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 0, 4]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.361");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.i (of order \(3\), degree \(2\), not 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: | \(94.3056860500\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{5569})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 1393x^{2} + 1392x + 1937664 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | no (minimal twist has level 84) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 373.1 | ||
Root | \(18.9064 + 32.7469i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 588.373 |
Dual form | 588.6.i.i.361.1 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0 | 0 | ||||||||
\(3\) | −4.50000 | − | 7.79423i | −0.288675 | − | 0.500000i | ||||
\(4\) | 0 | 0 | ||||||||
\(5\) | −38.8129 | + | 67.2259i | −0.694306 | + | 1.20257i | 0.276109 | + | 0.961126i | \(0.410955\pi\) |
−0.970414 | + | 0.241446i | \(0.922378\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −238.690 | − | 413.423i | −0.594775 | − | 1.03018i | −0.993579 | − | 0.113144i | \(-0.963908\pi\) |
0.398804 | − | 0.917036i | \(-0.369425\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 63.7544 | 0.104629 | 0.0523145 | − | 0.998631i | \(-0.483340\pi\) | ||||
0.0523145 | + | 0.998631i | \(0.483340\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 698.632 | 0.801715 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 518.813 | + | 898.610i | 0.435400 | + | 0.754135i | 0.997328 | − | 0.0730511i | \(-0.0232736\pi\) |
−0.561928 | + | 0.827186i | \(0.689940\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −333.509 | + | 577.654i | −0.211945 | + | 0.367100i | −0.952323 | − | 0.305091i | \(-0.901313\pi\) |
0.740378 | + | 0.672191i | \(0.234646\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −1625.81 | + | 2815.99i | −0.640842 | + | 1.10997i | 0.344403 | + | 0.938822i | \(0.388081\pi\) |
−0.985245 | + | 0.171149i | \(0.945252\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1450.38 | − | 2512.13i | −0.464121 | − | 0.803881i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 2300.97 | 0.508061 | 0.254031 | − | 0.967196i | \(-0.418244\pi\) | ||||
0.254031 | + | 0.967196i | \(0.418244\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 1858.53 | + | 3219.06i | 0.347348 | + | 0.601624i | 0.985777 | − | 0.168056i | \(-0.0537490\pi\) |
−0.638430 | + | 0.769680i | \(0.720416\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −2148.21 | + | 3720.81i | −0.343393 | + | 0.594775i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −6122.93 | + | 10605.2i | −0.735284 | + | 1.27355i | 0.219315 | + | 0.975654i | \(0.429618\pi\) |
−0.954599 | + | 0.297895i | \(0.903716\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −286.895 | − | 496.916i | −0.0302038 | − | 0.0523145i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 1829.65 | 0.169984 | 0.0849920 | − | 0.996382i | \(-0.472914\pi\) | ||||
0.0849920 | + | 0.996382i | \(0.472914\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −20794.2 | −1.71503 | −0.857513 | − | 0.514463i | \(-0.827991\pi\) | ||||
−0.857513 | + | 0.514463i | \(0.827991\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −3143.84 | − | 5445.29i | −0.231435 | − | 0.400858i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2141.68 | + | 3709.51i | −0.141420 | + | 0.244947i | −0.928032 | − | 0.372502i | \(-0.878500\pi\) |
0.786612 | + | 0.617448i | \(0.211833\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 4669.32 | − | 8087.49i | 0.251378 | − | 0.435400i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −12859.2 | − | 22272.8i | −0.628818 | − | 1.08914i | −0.987789 | − | 0.155796i | \(-0.950206\pi\) |
0.358972 | − | 0.933348i | \(-0.383127\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 37057.0 | 1.65182 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 6003.16 | 0.244733 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −1419.36 | − | 2458.40i | −0.0530837 | − | 0.0919437i | 0.838262 | − | 0.545267i | \(-0.183572\pi\) |
−0.891346 | + | 0.453323i | \(0.850238\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 8401.60 | − | 14552.0i | 0.289093 | − | 0.500723i | −0.684501 | − | 0.729012i | \(-0.739980\pi\) |
0.973593 | + | 0.228289i | \(0.0733131\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −2474.49 | + | 4285.94i | −0.0726445 | + | 0.125824i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 31267.5 | + | 54157.0i | 0.850955 | + | 1.47390i | 0.880347 | + | 0.474330i | \(0.157310\pi\) |
−0.0293918 | + | 0.999568i | \(0.509357\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 29264.6 | 0.739981 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 72301.0 | 1.70215 | 0.851077 | − | 0.525042i | \(-0.175950\pi\) | ||||
0.851077 | + | 0.525042i | \(0.175950\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −27838.4 | − | 48217.6i | −0.611417 | − | 1.05901i | −0.991002 | − | 0.133849i | \(-0.957266\pi\) |
0.379584 | − | 0.925157i | \(-0.376067\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −13053.4 | + | 22609.1i | −0.267960 | + | 0.464121i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 1994.60 | − | 3454.74i | 0.0359573 | − | 0.0622799i | −0.847487 | − | 0.530817i | \(-0.821885\pi\) |
0.883444 | + | 0.468537i | \(0.155219\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 46092.2 | 0.734400 | 0.367200 | − | 0.930142i | \(-0.380316\pi\) | ||||
0.367200 | + | 0.930142i | \(0.380316\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −80546.5 | −1.20920 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −10354.4 | − | 17934.3i | −0.146665 | − | 0.254031i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 67692.3 | − | 117247.i | 0.905867 | − | 1.56901i | 0.0861180 | − | 0.996285i | \(-0.472554\pi\) |
0.819749 | − | 0.572723i | \(-0.194113\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 16726.7 | − | 28971.6i | 0.200541 | − | 0.347348i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | −25888.9 | − | 44840.8i | −0.294309 | − | 0.509759i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −142878. | −1.54183 | −0.770914 | − | 0.636939i | \(-0.780200\pi\) | ||||
−0.770914 | + | 0.636939i | \(0.780200\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 38667.8 | 0.396517 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 22233.5 | + | 38509.6i | 0.216873 | + | 0.375635i | 0.953850 | − | 0.300283i | \(-0.0970810\pi\) |
−0.736977 | + | 0.675917i | \(0.763748\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 101310. | − | 175474.i | 0.940931 | − | 1.62974i | 0.177232 | − | 0.984169i | \(-0.443286\pi\) |
0.763700 | − | 0.645572i | \(-0.223381\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −49762.9 | + | 86192.0i | −0.420191 | + | 0.727792i | −0.995958 | − | 0.0898219i | \(-0.971370\pi\) |
0.575767 | + | 0.817614i | \(0.304704\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −110465. | − | 191331.i | −0.890551 | − | 1.54248i | −0.839216 | − | 0.543798i | \(-0.816986\pi\) |
−0.0513352 | − | 0.998681i | \(-0.516348\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 110213. | 0.849033 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 29623.1 | 0.218240 | 0.109120 | − | 0.994029i | \(-0.465197\pi\) | ||||
0.109120 | + | 0.994029i | \(0.465197\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −126205. | − | 218593.i | −0.889880 | − | 1.54132i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −2582.05 | + | 4472.25i | −0.0174382 | + | 0.0302038i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −33420.4 | + | 57885.8i | −0.207514 | + | 0.359425i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −8233.42 | − | 14260.7i | −0.0490702 | − | 0.0849920i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −17407.2 | −0.0996448 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −264132. | −1.45315 | −0.726577 | − | 0.687086i | \(-0.758890\pi\) | ||||
−0.726577 | + | 0.687086i | \(0.758890\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 93573.8 | + | 162075.i | 0.495085 | + | 0.857513i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −38925.0 | + | 67420.2i | −0.198176 | + | 0.343251i | −0.947937 | − | 0.318458i | \(-0.896835\pi\) |
0.749761 | + | 0.661709i | \(0.230168\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | −28294.6 | + | 49007.6i | −0.133619 | + | 0.231435i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | −186201. | − | 322510.i | −0.847581 | − | 1.46805i | −0.883361 | − | 0.468694i | \(-0.844725\pi\) |
0.0357792 | − | 0.999360i | \(-0.488609\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 274550. | 1.20527 | 0.602636 | − | 0.798016i | \(-0.294117\pi\) | ||||
0.602636 | + | 0.798016i | \(0.294117\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 38550.3 | 0.163298 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −15217.5 | − | 26357.6i | −0.0622307 | − | 0.107787i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −89307.3 | + | 154685.i | −0.352750 | + | 0.610981i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 156491. | − | 271050.i | 0.577462 | − | 1.00019i | −0.418307 | − | 0.908306i | \(-0.637376\pi\) |
0.995769 | − | 0.0918883i | \(-0.0292903\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −216047. | − | 374205.i | −0.771093 | − | 1.33557i | −0.936965 | − | 0.349424i | \(-0.886377\pi\) |
0.165872 | − | 0.986147i | \(-0.446956\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −84047.7 | −0.290267 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −288539. | −0.964662 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −42301.8 | − | 73268.9i | −0.136965 | − | 0.237231i | 0.789381 | − | 0.613903i | \(-0.210402\pi\) |
−0.926346 | + | 0.376673i | \(0.877068\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −115733. | + | 200455.i | −0.363048 | + | 0.628818i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −153152. | + | 265266.i | −0.451494 | + | 0.782011i | −0.998479 | − | 0.0551313i | \(-0.982442\pi\) |
0.546985 | + | 0.837143i | \(0.315776\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | −166756. | − | 288831.i | −0.476840 | − | 0.825911i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 606514. | 1.68287 | 0.841433 | − | 0.540362i | \(-0.181713\pi\) | ||||
0.841433 | + | 0.540362i | \(0.181713\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −367228. | −0.989053 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −27014.2 | − | 46790.0i | −0.0706484 | − | 0.122367i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −144240. | + | 249832.i | −0.366414 | + | 0.634648i | −0.989002 | − | 0.147902i | \(-0.952748\pi\) |
0.622588 | + | 0.782550i | \(0.286081\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −12774.2 | + | 22125.6i | −0.0306479 | + | 0.0530837i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −74429.1 | − | 128915.i | −0.173624 | − | 0.300726i | 0.766060 | − | 0.642769i | \(-0.222214\pi\) |
−0.939684 | + | 0.342043i | \(0.888881\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −93377.8 | −0.211859 | −0.105930 | − | 0.994374i | \(-0.533782\pi\) | ||||
−0.105930 | + | 0.994374i | \(0.533782\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −151229. | −0.333816 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −475297. | − | 823238.i | −1.02102 | − | 1.76846i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 247671. | − | 428979.i | 0.517930 | − | 0.897081i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −123457. | + | 213835.i | −0.244869 | + | 0.424126i | −0.962095 | − | 0.272715i | \(-0.912078\pi\) |
0.717226 | + | 0.696841i | \(0.245412\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −240718. | − | 416937.i | −0.465175 | − | 0.805706i | 0.534035 | − | 0.845463i | \(-0.320675\pi\) |
−0.999209 | + | 0.0397564i | \(0.987342\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 44540.8 | 0.0838826 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −548236. | −1.00647 | −0.503237 | − | 0.864149i | \(-0.667858\pi\) | ||||
−0.503237 | + | 0.864149i | \(0.667858\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 79089.6 | + | 136987.i | 0.141575 | + | 0.245215i | 0.928090 | − | 0.372356i | \(-0.121450\pi\) |
−0.786515 | + | 0.617571i | \(0.788117\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 281408. | − | 487413.i | 0.491299 | − | 0.850955i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −71013.9 | + | 123000.i | −0.118021 | + | 0.204418i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | −131691. | − | 228095.i | −0.213614 | − | 0.369990i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 318421. | 0.504238 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 283510. | 0.438392 | 0.219196 | − | 0.975681i | \(-0.429657\pi\) | ||||
0.219196 | + | 0.975681i | \(0.429657\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −325355. | − | 563531.i | −0.491369 | − | 0.851077i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 807082. | − | 1.39791e6i | 1.19075 | − | 2.06244i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −250546. | + | 433958.i | −0.353002 | + | 0.611417i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 33076.6 | + | 57290.4i | 0.0455554 | + | 0.0789043i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 651135. | 0.876817 | 0.438409 | − | 0.898776i | \(-0.355542\pi\) | ||||
0.438409 | + | 0.898776i | \(0.355542\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 234961. | 0.309414 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −189147. | − | 327612.i | −0.243632 | − | 0.421983i | 0.718114 | − | 0.695925i | \(-0.245006\pi\) |
−0.961746 | + | 0.273942i | \(0.911672\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −11166.4 | + | 19340.8i | −0.0140710 | + | 0.0243717i | −0.872975 | − | 0.487765i | \(-0.837812\pi\) |
0.858904 | + | 0.512136i | \(0.171146\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 454470. | − | 787165.i | 0.548423 | − | 0.949896i | −0.449960 | − | 0.893049i | \(-0.648562\pi\) |
0.998383 | − | 0.0568472i | \(-0.0181048\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −166250. | − | 287953.i | −0.196377 | − | 0.340136i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −35902.7 | −0.0415199 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 1.05363e6 | 1.19315 | 0.596573 | − | 0.802559i | \(-0.296529\pi\) | ||||
0.596573 | + | 0.802559i | \(0.296529\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 526164. | + | 911342.i | 0.583550 | + | 1.01074i | 0.995054 | + | 0.0993307i | \(0.0316702\pi\) |
−0.411504 | + | 0.911408i | \(0.634996\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −29524.5 | + | 51137.9i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −21262.7 | + | 36828.0i | −0.0221756 | + | 0.0384092i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −207415. | − | 359253.i | −0.212003 | − | 0.367200i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −972876. | −0.974705 | −0.487352 | − | 0.873205i | \(-0.662037\pi\) | ||||
−0.487352 | + | 0.873205i | \(0.662037\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 1.55226e6 | 1.52463 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 362459. | + | 627798.i | 0.349067 | + | 0.604601i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 889738. | − | 1.54107e6i | 0.840290 | − | 1.45542i | −0.0493598 | − | 0.998781i | \(-0.515718\pi\) |
0.889650 | − | 0.456644i | \(-0.150949\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −93189.3 | + | 161409.i | −0.0846769 | + | 0.146665i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −10979.8 | − | 19017.6i | −0.00978827 | − | 0.0169538i | 0.861090 | − | 0.508453i | \(-0.169782\pi\) |
−0.870878 | + | 0.491499i | \(0.836449\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 1.99641e6 | 1.74637 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.21846e6 | −1.04601 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −845555. | − | 1.46454e6i | −0.712461 | − | 1.23402i | −0.963931 | − | 0.266153i | \(-0.914247\pi\) |
0.251470 | − | 0.967865i | \(-0.419086\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −233932. | + | 405182.i | −0.193493 | + | 0.335140i | −0.946406 | − | 0.322981i | \(-0.895315\pi\) |
0.752912 | + | 0.658121i | \(0.228648\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −692381. | + | 1.19924e6i | −0.552095 | + | 0.956256i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −453084. | − | 784765.i | −0.354797 | − | 0.614526i | 0.632286 | − | 0.774735i | \(-0.282117\pi\) |
−0.987083 | + | 0.160209i | \(0.948783\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −301081. | −0.231565 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −781388. | −0.590338 | −0.295169 | − | 0.955445i | \(-0.595376\pi\) | ||||
−0.295169 | + | 0.955445i | \(0.595376\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −749216. | − | 1.29768e6i | −0.556085 | − | 0.963167i | −0.997818 | − | 0.0660209i | \(-0.978970\pi\) |
0.441733 | − | 0.897146i | \(-0.354364\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | −233000. | + | 403567.i | −0.169920 | + | 0.294309i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 171595. | − | 297211.i | 0.120854 | − | 0.209325i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 642951. | + | 1.11362e6i | 0.445087 | + | 0.770914i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 1.56070e6 | 1.06206 | 0.531031 | − | 0.847352i | \(-0.321805\pi\) | ||||
0.531031 | + | 0.847352i | \(0.321805\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 220357. | 0.147425 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −174005. | − | 301386.i | −0.114464 | − | 0.198258i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −103653. | + | 179532.i | −0.0670506 | + | 0.116135i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 200102. | − | 346587.i | 0.125212 | − | 0.216873i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 652180. | + | 1.12961e6i | 0.401438 | + | 0.695310i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 889308. | 0.538525 | 0.269263 | − | 0.963067i | \(-0.413220\pi\) | ||||
0.269263 | + | 0.963067i | \(0.413220\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −1.82357e6 | −1.08649 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 1.22413e6 | + | 2.12026e6i | 0.717674 | + | 1.24305i | 0.961919 | + | 0.273334i | \(0.0881263\pi\) |
−0.244246 | + | 0.969713i | \(0.578540\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −1.36551e6 | + | 2.36514e6i | −0.787834 | + | 1.36457i | 0.139457 | + | 0.990228i | \(0.455464\pi\) |
−0.927291 | + | 0.374341i | \(0.877869\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 124802. | − | 216163.i | 0.0697545 | − | 0.120818i | −0.829039 | − | 0.559191i | \(-0.811112\pi\) |
0.898793 | + | 0.438373i | \(0.144445\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −549219. | − | 951275.i | −0.302182 | − | 0.523395i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 895733. | 0.485195 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −692115. | −0.369124 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −92467.9 | − | 160159.i | −0.0485605 | − | 0.0841092i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | −994186. | + | 1.72198e6i | −0.514160 | + | 0.890551i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −323308. | + | 559986.i | −0.162199 | + | 0.280936i | −0.935657 | − | 0.352911i | \(-0.885192\pi\) |
0.773458 | + | 0.633847i | \(0.218525\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −495957. | − | 859023.i | −0.245095 | − | 0.424516i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | −4.85433e6 | −2.36329 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.02782e6 | −0.492994 | −0.246497 | − | 0.969144i | \(-0.579280\pi\) | ||||
−0.246497 | + | 0.969144i | \(0.579280\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −133304. | − | 230890.i | −0.0630006 | − | 0.109120i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 887224. | − | 1.53672e6i | 0.413187 | − | 0.715662i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −1.13584e6 | + | 1.96734e6i | −0.513773 | + | 0.889880i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 824579. | + | 1.42821e6i | 0.367628 | + | 0.636750i | 0.989194 | − | 0.146611i | \(-0.0468367\pi\) |
−0.621566 | + | 0.783362i | \(0.713503\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −2.21201e6 | −0.972128 | −0.486064 | − | 0.873923i | \(-0.661568\pi\) | ||||
−0.486064 | + | 0.873923i | \(0.661568\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 46477.0 | 0.0201358 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 550789. | + | 953995.i | 0.235260 | + | 0.407483i | 0.959348 | − | 0.282225i | \(-0.0910724\pi\) |
−0.724088 | + | 0.689708i | \(0.757739\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.80621e6 | + | 4.86050e6i | −1.18181 | + | 2.04696i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 649699. | − | 1.12531e6i | 0.266058 | − | 0.460826i | −0.701782 | − | 0.712391i | \(-0.747612\pi\) |
0.967840 | + | 0.251566i | \(0.0809455\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.01559e6 | + | 1.75906e6i | 0.410159 | + | 0.710416i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 601567. | 0.239617 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 4.32196e6 | 1.69804 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 778345. | + | 1.34813e6i | 0.301652 | + | 0.522477i | 0.976510 | − | 0.215470i | \(-0.0691285\pi\) |
−0.674858 | + | 0.737948i | \(0.735795\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −74100.8 | + | 128346.i | −0.0283307 | + | 0.0490702i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.56330e6 | − | 2.70772e6i | 0.581796 | − | 1.00770i | −0.413471 | − | 0.910517i | \(-0.635684\pi\) |
0.995267 | − | 0.0971823i | \(-0.0309830\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 78332.5 | + | 135676.i | 0.0287650 | + | 0.0498224i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 146697. | 0.0531579 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.96497e6 | −1.06029 | −0.530143 | − | 0.847908i | \(-0.677862\pi\) | ||||
−0.530143 | + | 0.847908i | \(0.677862\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.18859e6 | + | 2.05870e6i | 0.419489 | + | 0.726577i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 1.37387e6 | − | 2.37962e6i | 0.478574 | − | 0.828915i | −0.521124 | − | 0.853481i | \(-0.674487\pi\) |
0.999698 | + | 0.0245659i | \(0.00782036\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 842164. | − | 1.45867e6i | 0.285838 | − | 0.495085i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 305671. | + | 529438.i | 0.102419 | + | 0.177395i | 0.912681 | − | 0.408673i | \(-0.134008\pi\) |
−0.810262 | + | 0.586068i | \(0.800675\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −3.37397e6 | −1.11609 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 700651. | 0.228834 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 154832. | + | 268177.i | 0.0499307 | + | 0.0864826i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.08397e6 | − | 1.87749e6i | 0.345176 | − | 0.597862i | −0.640210 | − | 0.768200i | \(-0.721153\pi\) |
0.985386 | + | 0.170338i | \(0.0544859\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 1.57322e6 | − | 2.72489e6i | 0.488572 | − | 0.846231i | −0.511342 | − | 0.859377i | \(-0.670851\pi\) |
0.999914 | + | 0.0131465i | \(0.00418480\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 118489. | + | 205229.i | 0.0363426 | + | 0.0629473i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 509302. | 0.154290 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 5.84593e6 | 1.74931 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.79082e6 | + | 4.83385e6i | 0.824943 | + | 1.42884i | 0.901963 | + | 0.431814i | \(0.142126\pi\) |
−0.0770193 | + | 0.997030i | \(0.524540\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −1.67581e6 | + | 2.90259e6i | −0.489351 | + | 0.847581i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.78897e6 | + | 3.09859e6i | −0.509898 | + | 0.883169i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −1.23548e6 | − | 2.13991e6i | −0.347932 | − | 0.602636i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −2.25054e6 | −0.626257 | −0.313128 | − | 0.949711i | \(-0.601377\pi\) | ||||
−0.313128 | + | 0.949711i | \(0.601377\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 3.45914e6 | 0.951180 | 0.475590 | − | 0.879667i | \(-0.342235\pi\) | ||||
0.475590 | + | 0.879667i | \(0.342235\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | −173476. | − | 300470.i | −0.0471400 | − | 0.0816489i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.50495e6 | − | 2.60665e6i | 0.404156 | − | 0.700019i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −136958. | + | 237218.i | −0.0359289 | + | 0.0622307i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 3.27963e6 | + | 5.68049e6i | 0.850417 | + | 1.47297i | 0.880833 | + | 0.473428i | \(0.156984\pi\) |
−0.0304157 | + | 0.999537i | \(0.509683\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −5.05669e6 | −1.29612 | −0.648062 | − | 0.761587i | \(-0.724420\pi\) | ||||
−0.648062 | + | 0.761587i | \(0.724420\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 1.60753e6 | 0.407320 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −1.08445e6 | − | 1.87832e6i | −0.271647 | − | 0.470506i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 2.11613e6 | − | 3.66524e6i | 0.524059 | − | 0.907697i | −0.475549 | − | 0.879689i | \(-0.657750\pi\) |
0.999608 | − | 0.0280074i | \(-0.00891619\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 3.02763e6 | − | 5.24400e6i | 0.732981 | − | 1.26956i | −0.222622 | − | 0.974905i | \(-0.571462\pi\) |
0.955603 | − | 0.294656i | \(-0.0952050\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 5.25467e6 | + | 9.10135e6i | 1.25790 | + | 2.17874i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −2.81684e6 | −0.666796 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −299186. | −0.0700368 | −0.0350184 | − | 0.999387i | \(-0.511149\pi\) | ||||
−0.0350184 | + | 0.999387i | \(0.511149\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −436719. | − | 756420.i | −0.101102 | − | 0.175114i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | −1.94443e6 | + | 3.36785e6i | −0.445191 | + | 0.771093i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −1.87589e6 | + | 3.24913e6i | −0.420161 | + | 0.727740i | −0.995955 | − | 0.0898545i | \(-0.971360\pi\) |
0.575794 | + | 0.817595i | \(0.304693\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 378215. | + | 655087.i | 0.0837928 | + | 0.145133i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −6.94525e6 | −1.52207 | −0.761036 | − | 0.648709i | \(-0.775309\pi\) | ||||
−0.761036 | + | 0.648709i | \(0.775309\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −9.13226e6 | −1.97982 | −0.989910 | − | 0.141697i | \(-0.954744\pi\) | ||||
−0.989910 | + | 0.141697i | \(0.954744\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 1.29843e6 | + | 2.24894e6i | 0.278474 | + | 0.482331i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −212068. | + | 367313.i | −0.0449970 | + | 0.0779371i | −0.887647 | − | 0.460525i | \(-0.847661\pi\) |
0.842650 | + | 0.538462i | \(0.180994\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −380717. | + | 659420.i | −0.0790769 | + | 0.136965i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 4.96336e6 | + | 8.59680e6i | 1.02005 | + | 1.76679i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.93485e6 | 0.393472 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 2.08319e6 | 0.419212 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −3.89303e6 | − | 6.74292e6i | −0.775262 | − | 1.34279i | −0.934647 | − | 0.355577i | \(-0.884285\pi\) |
0.159385 | − | 0.987216i | \(-0.449049\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −390364. | + | 676130.i | −0.0769320 | + | 0.133250i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 5.54550e6 | − | 9.60509e6i | 1.07050 | − | 1.85416i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −1.16130e6 | − | 2.01143e6i | −0.221881 | − | 0.384310i | 0.733498 | − | 0.679692i | \(-0.237886\pi\) |
−0.955379 | + | 0.295382i | \(0.904553\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 2.75673e6 | 0.521341 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 6.01036e6 | 1.12512 | 0.562558 | − | 0.826758i | \(-0.309817\pi\) | ||||
0.562558 | + | 0.826758i | \(0.309817\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 1.19377e6 | + | 2.06768e6i | 0.221210 | + | 0.383147i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | −1.50081e6 | + | 2.59948e6i | −0.275304 | + | 0.476840i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −1.68693e6 | + | 2.92184e6i | −0.303281 | + | 0.525298i | −0.976877 | − | 0.213802i | \(-0.931415\pi\) |
0.673596 | + | 0.739100i | \(0.264749\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −2.72931e6 | − | 4.72731e6i | −0.485801 | − | 0.841433i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 1.22068e6 | 0.215120 | 0.107560 | − | 0.994199i | \(-0.465696\pi\) | ||||
0.107560 | + | 0.994199i | \(0.465696\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −3.45179e6 | −0.602304 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.65253e6 | + | 2.86226e6i | 0.285515 | + | 0.494526i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 784485. | − | 1.35877e6i | 0.134212 | − | 0.232461i | −0.791084 | − | 0.611707i | \(-0.790483\pi\) |
0.925296 | + | 0.379246i | \(0.123816\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −243128. | + | 421110.i | −0.0407888 | + | 0.0706484i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 7.86424e6 | + | 1.36213e7i | 1.30659 | + | 2.26308i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 2.04480e6 | 0.336452 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 2.59633e6 | 0.423098 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 5.33893e6 | + | 9.24730e6i | 0.861708 | + | 1.49252i | 0.870279 | + | 0.492559i | \(0.163938\pi\) |
−0.00857106 | + | 0.999963i | \(0.502728\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −6.05033e6 | + | 1.04795e7i | −0.967219 | + | 1.67527i | −0.263689 | + | 0.964608i | \(0.584939\pi\) |
−0.703531 | + | 0.710665i | \(0.748394\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −1.92845e6 | + | 3.34018e6i | −0.302470 | + | 0.523894i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −2.06836e6 | − | 3.58251e6i | −0.321357 | − | 0.556607i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 229936. | 0.0353892 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 116648. | 0.0177852 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −3.86289e6 | − | 6.69071e6i | −0.583482 | − | 1.01062i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −669861. | + | 1.16023e6i | −0.100242 | + | 0.173624i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 1.59903e6 | − | 2.76959e6i | 0.234889 | − | 0.406839i | −0.724352 | − | 0.689431i | \(-0.757861\pi\) |
0.959240 | + | 0.282591i | \(0.0911941\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 420200. | + | 727808.i | 0.0611585 | + | 0.105930i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.71499e7 | 2.47326 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 3.97811e6 | 0.568471 | 0.284235 | − | 0.958755i | \(-0.408260\pi\) | ||||
0.284235 | + | 0.958755i | \(0.408260\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 680529. | + | 1.17871e6i | 0.0963643 | + | 0.166908i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −767394. | + | 1.32917e6i | −0.107681 | + | 0.186509i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | −4.27767e6 | + | 7.40915e6i | −0.589488 | + | 1.02102i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | −5.70567e6 | − | 9.88251e6i | −0.779236 | − | 1.34968i | −0.932383 | − | 0.361472i | \(-0.882274\pi\) |
0.153147 | − | 0.988203i | \(-0.451059\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1.32572e6 | −0.179441 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −4.45808e6 | −0.598054 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −3.23486e6 | − | 5.60295e6i | −0.430115 | − | 0.744982i | 0.566768 | − | 0.823878i | \(-0.308194\pi\) |
−0.996883 | + | 0.0788962i | \(0.974860\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −1.14976e6 | + | 1.99144e6i | −0.151526 | + | 0.262450i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −358514. | + | 620965.i | −0.0464222 | + | 0.0804056i | −0.888303 | − | 0.459258i | \(-0.848115\pi\) |
0.841881 | + | 0.539664i | \(0.181449\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.00143e6 | − | 5.19863e6i | −0.385246 | − | 0.667265i | 0.606558 | − | 0.795040i | \(-0.292550\pi\) |
−0.991803 | + | 0.127774i | \(0.959217\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 2.22223e6 | 0.282750 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 9.43217e6 | 1.18971 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 7.78560e6 | + | 1.34850e7i | 0.973537 | + | 1.68621i | 0.684682 | + | 0.728842i | \(0.259941\pi\) |
0.288855 | + | 0.957373i | \(0.406726\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | −2.16647e6 | + | 3.75243e6i | −0.268569 | + | 0.465175i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.13873e6 | + | 1.06326e7i | −0.748010 | + | 1.29559i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | −200434. | − | 347161.i | −0.0242148 | − | 0.0419413i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −7.84621e6 | −0.939863 | −0.469931 | − | 0.882703i | \(-0.655721\pi\) | ||||
−0.469931 | + | 0.882703i | \(0.655721\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.47934e6 | −0.294475 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 2.46706e6 | + | 4.27308e6i | 0.290544 | + | 0.503237i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 6.66240e6 | − | 1.15396e7i | 0.778026 | − | 1.34758i | −0.155052 | − | 0.987906i | \(-0.549555\pi\) |
0.933078 | − | 0.359674i | \(-0.117112\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 711807. | − | 1.23289e6i | 0.0817384 | − | 0.141575i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 3.88958e6 | + | 6.73695e6i | 0.442930 | + | 0.767178i | 0.997905 | − | 0.0646890i | \(-0.0206055\pi\) |
−0.554975 | + | 0.831867i | \(0.687272\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −8.62898e6 | −0.974480 | −0.487240 | − | 0.873268i | \(-0.661996\pi\) | ||||
−0.487240 | + | 0.873268i | \(0.661996\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −5.06534e6 | −0.567304 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −2.59428e6 | − | 4.49343e6i | −0.288157 | − | 0.499102i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −3.54676e6 | + | 6.14317e6i | −0.390715 | + | 0.676739i | −0.992544 | − | 0.121886i | \(-0.961106\pi\) |
0.601829 | + | 0.798625i | \(0.294439\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −136542. | + | 236497.i | −0.0147966 | + | 0.0256285i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −2.26320e6 | − | 3.91998e6i | −0.243261 | − | 0.421340i | 0.718381 | − | 0.695650i | \(-0.244884\pi\) |
−0.961641 | + | 0.274311i | \(0.911550\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 1.27825e6 | 0.136279 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −8.38009e6 | −0.886208 | −0.443104 | − | 0.896470i | \(-0.646123\pi\) | ||||
−0.443104 | + | 0.896470i | \(0.646123\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −84171.0 | − | 145788.i | −0.00882949 | − | 0.0152931i | 0.861577 | − | 0.507627i | \(-0.169477\pi\) |
−0.870406 | + | 0.492334i | \(0.836144\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −1.18522e6 | + | 2.05286e6i | −0.123330 | + | 0.213614i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.20805e6 | − | 9.02061e6i | 0.533305 | − | 0.923711i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.43289e6 | − | 2.48185e6i | −0.145561 | − | 0.252119i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −1.27066e7 | −1.28057 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 1.66208e7 | 1.66180 | 0.830899 | − | 0.556423i | \(-0.187826\pi\) | ||||
0.830899 | + | 0.556423i | \(0.187826\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | −1.27580e6 | − | 2.20974e6i | −0.126553 | − | 0.219196i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.02517e7 | − | 1.77565e7i | 1.00893 | − | 1.74752i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.92819e6 | + | 5.07178e6i | −0.283692 | + | 0.491369i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −512367. | − | 887446.i | −0.0492534 | − | 0.0853094i | 0.840348 | − | 0.542048i | \(-0.182351\pi\) |
−0.889601 | + | 0.456738i | \(0.849018\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 1.22962e7 | 1.17286 | 0.586428 | − | 0.810001i | \(-0.300534\pi\) | ||||
0.586428 | + | 0.810001i | \(0.300534\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | −1.45275e7 | −1.37496 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −1.08269e6 | − | 1.87527e6i | −0.101682 | − | 0.176118i | 0.810696 | − | 0.585467i | \(-0.199089\pi\) |
−0.912378 | + | 0.409350i | \(0.865756\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −677573. | + | 1.17359e6i | −0.0631458 | + | 0.109372i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 6.12507e6 | − | 1.06089e7i | 0.562119 | − | 0.973619i | −0.435192 | − | 0.900338i | \(-0.643320\pi\) |
0.997311 | − | 0.0732814i | \(-0.0233471\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −3.02158e6 | − | 5.23354e6i | −0.275189 | − | 0.476642i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 4.50983e6 | 0.407612 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.18607e6 | 0.106389 | 0.0531944 | − | 0.998584i | \(-0.483060\pi\) | ||||
0.0531944 | + | 0.998584i | \(0.483060\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −7.26909e6 | − | 1.25904e7i | −0.647107 | − | 1.12082i | −0.983811 | − | 0.179212i | \(-0.942645\pi\) |
0.336703 | − | 0.941611i | \(-0.390688\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 297689. | − | 515613.i | 0.0263014 | − | 0.0455554i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.74095e6 | + | 6.47951e6i | −0.325587 | + | 0.563933i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | −2.93011e6 | − | 5.07510e6i | −0.253115 | − | 0.438409i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −8.02151e6 | −0.687781 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −5.99405e6 | −0.510132 | −0.255066 | − | 0.966924i | \(-0.582097\pi\) | ||||
−0.255066 | + | 0.966924i | \(0.582097\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −1.05732e6 | − | 1.83134e6i | −0.0893201 | − | 0.154707i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 1.04194e7 | − | 1.80470e7i | 0.873721 | − | 1.51333i | 0.0156016 | − | 0.999878i | \(-0.495034\pi\) |
0.858119 | − | 0.513451i | \(-0.171633\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −1.70232e6 | + | 2.94851e6i | −0.140661 | + | 0.243632i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −2.27783e6 | − | 3.94531e6i | −0.186840 | − | 0.323616i | 0.757355 | − | 0.653003i | \(-0.226491\pi\) |
−0.944195 | + | 0.329387i | \(0.893158\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 2.89080e7 | 2.35392 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 200995. | 0.0162478 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −819831. | − | 1.41999e6i | −0.0657925 | − | 0.113956i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 842712. | − | 1.45962e6i | 0.0671404 | − | 0.116291i | −0.830501 | − | 0.557017i | \(-0.811946\pi\) |
0.897641 | + | 0.440726i | \(0.145279\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | −1.06561e7 | + | 1.84569e7i | −0.836827 | + | 1.44943i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 949246. | + | 1.64414e6i | 0.0740111 | + | 0.128191i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −8.18046e6 | −0.633264 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 2.45349e6 | 0.188577 | 0.0942887 | − | 0.995545i | \(-0.469942\pi\) | ||||
0.0942887 | + | 0.995545i | \(0.469942\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.08410e6 | − | 7.07387e6i | −0.311680 | − | 0.539845i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −1.49625e6 | + | 2.59158e6i | −0.113379 | + | 0.196377i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 6.61569e6 | − | 1.14587e7i | 0.494265 | − | 0.856092i | −0.505713 | − | 0.862702i | \(-0.668771\pi\) |
0.999978 | + | 0.00660968i | \(0.00210394\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 161562. | + | 279834.i | 0.0119858 | + | 0.0207600i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | −1.20865e7 | −0.890380 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 2.36255e6 | 0.172828 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −4.74134e6 | − | 8.21224e6i | −0.344432 | − | 0.596573i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 6.76685e6 | − | 1.17205e7i | 0.488162 | − | 0.845522i | −0.511745 | − | 0.859137i | \(-0.671001\pi\) |
0.999907 | + | 0.0136156i | \(0.00433413\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 4.73547e6 | − | 8.20208e6i | 0.336913 | − | 0.583550i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | −3.33728e6 | − | 5.78033e6i | −0.235802 | − | 0.408421i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −5.29416e6 | −0.371502 | −0.185751 | − | 0.982597i | \(-0.559472\pi\) | ||||
−0.185751 | + | 0.982597i | \(0.559472\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −1.07883e7 | − | 1.86859e7i | −0.746722 | − | 1.29336i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −1.12507e7 | + | 1.94868e7i | −0.773426 | + | 1.33961i | 0.162249 | + | 0.986750i | \(0.448125\pi\) |
−0.935675 | + | 0.352863i | \(0.885208\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1.49265e7 | − | 2.58535e7i | 1.01225 | − | 1.75327i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.03696e6 | − | 1.39204e7i | −0.541353 | − | 0.937652i | −0.998827 | − | 0.0484282i | \(-0.984579\pi\) |
0.457473 | − | 0.889223i | \(-0.348755\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 382728. | 0.0256062 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −2.31604e6 | −0.153913 | −0.0769563 | − | 0.997034i | \(-0.524520\pi\) | ||||
−0.0769563 | + | 0.997034i | \(0.524520\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.21477e7 | + | 2.10405e7i | 0.801871 | + | 1.38888i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −1.86674e6 | + | 3.23328e6i | −0.122400 | + | 0.212003i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 3.88632e6 | − | 6.73130e6i | 0.251442 | − | 0.435511i | −0.712481 | − | 0.701692i | \(-0.752428\pi\) |
0.963923 | + | 0.266181i | \(0.0857618\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 4.37794e6 | + | 7.58282e6i | 0.281373 | + | 0.487352i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 3.35417e7 | 2.14150 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −1.59716e7 | −1.01300 | −0.506498 | − | 0.862241i | \(-0.669060\pi\) | ||||
−0.506498 | + | 0.862241i | \(0.669060\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −6.98518e6 | − | 1.20987e7i | −0.440122 | − | 0.762313i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 9.24701e6 | − | 1.60163e7i | 0.578815 | − | 1.00254i | −0.416801 | − | 0.908998i | \(-0.636849\pi\) |
0.995616 | − | 0.0935391i | \(-0.0298180\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 3.26213e6 | − | 5.65018e6i | 0.201534 | − | 0.349067i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −90490.2 | − | 156734.i | −0.00555409 | − | 0.00961997i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 2.33524e7 | 1.42402 | 0.712009 | − | 0.702170i | \(-0.247786\pi\) | ||||
0.712009 | + | 0.702170i | \(0.247786\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −1.60153e7 | −0.970283 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 3.62631e6 | + | 6.28095e6i | 0.218281 | + | 0.378074i | 0.954283 | − | 0.298906i | \(-0.0966217\pi\) |
−0.736001 | + | 0.676980i | \(0.763288\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 5.39113e6 | − | 9.33771e6i | 0.322423 | − | 0.558452i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −610204. | + | 1.05690e6i | −0.0360273 | + | 0.0624011i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.72575e7 | − | 2.98909e7i | −1.01240 | − | 1.75352i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 1.67741e6 | 0.0977764 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 6.56742e6 | 0.380383 |