Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [294,6,Mod(67,294)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(294, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([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("294.67");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 294 = 2 \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 294.e (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: | \(47.1528430250\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{9601})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} + 2401x^{2} + 2400x + 5760000 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 79.1 | ||
Root | \(24.7462 - 42.8616i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 294.79 |
Dual form | 294.6.e.s.67.1 |
$q$-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 \(\left(\mathbb{Z}/294\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(199\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.00000 | + | 3.46410i | −0.353553 | + | 0.612372i | ||||
\(3\) | −4.50000 | − | 7.79423i | −0.288675 | − | 0.500000i | ||||
\(4\) | −8.00000 | − | 13.8564i | −0.250000 | − | 0.433013i | ||||
\(5\) | −37.7462 | + | 65.3783i | −0.675224 | + | 1.16952i | 0.301179 | + | 0.953568i | \(0.402620\pi\) |
−0.976403 | + | 0.215955i | \(0.930714\pi\) | |||||||
\(6\) | 36.0000 | 0.408248 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 64.0000 | 0.353553 | ||||||||
\(9\) | −40.5000 | + | 70.1481i | −0.166667 | + | 0.288675i | ||||
\(10\) | −150.985 | − | 261.513i | −0.477456 | − | 0.826977i | ||||
\(11\) | 74.7309 | + | 129.438i | 0.186217 | + | 0.322537i | 0.943986 | − | 0.329986i | \(-0.107044\pi\) |
−0.757769 | + | 0.652523i | \(0.773711\pi\) | |||||||
\(12\) | −72.0000 | + | 124.708i | −0.144338 | + | 0.250000i | ||||
\(13\) | −349.416 | −0.573435 | −0.286717 | − | 0.958015i | \(-0.592564\pi\) | ||||
−0.286717 | + | 0.958015i | \(0.592564\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 679.431 | 0.779682 | ||||||||
\(16\) | −128.000 | + | 221.703i | −0.125000 | + | 0.216506i | ||||
\(17\) | −574.923 | − | 995.797i | −0.482489 | − | 0.835696i | 0.517309 | − | 0.855799i | \(-0.326934\pi\) |
−0.999798 | + | 0.0201029i | \(0.993601\pi\) | |||||||
\(18\) | −162.000 | − | 280.592i | −0.117851 | − | 0.204124i | ||||
\(19\) | −1397.60 | + | 2420.72i | −0.888176 | + | 1.53837i | −0.0461468 | + | 0.998935i | \(0.514694\pi\) |
−0.842029 | + | 0.539432i | \(0.818639\pi\) | |||||||
\(20\) | 1207.88 | 0.675224 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −597.847 | −0.263350 | ||||||||
\(23\) | −906.985 | + | 1570.94i | −0.357504 | + | 0.619214i | −0.987543 | − | 0.157349i | \(-0.949705\pi\) |
0.630040 | + | 0.776563i | \(0.283039\pi\) | |||||||
\(24\) | −288.000 | − | 498.831i | −0.102062 | − | 0.176777i | ||||
\(25\) | −1287.05 | − | 2229.23i | −0.411855 | − | 0.713354i | ||||
\(26\) | 698.832 | − | 1210.41i | 0.202740 | − | 0.351156i | ||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −759.033 | −0.167597 | −0.0837984 | − | 0.996483i | \(-0.526705\pi\) | ||||
−0.0837984 | + | 0.996483i | \(0.526705\pi\) | |||||||
\(30\) | −1358.86 | + | 2353.62i | −0.275659 | + | 0.477456i | ||||
\(31\) | 4515.87 | + | 7821.72i | 0.843990 | + | 1.46183i | 0.886495 | + | 0.462738i | \(0.153133\pi\) |
−0.0425050 | + | 0.999096i | \(0.513534\pi\) | |||||||
\(32\) | −512.000 | − | 886.810i | −0.0883883 | − | 0.153093i | ||||
\(33\) | 672.578 | − | 1164.94i | 0.107512 | − | 0.186217i | ||||
\(34\) | 4599.39 | 0.682343 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1296.00 | 0.166667 | ||||||||
\(37\) | −3897.45 | + | 6750.57i | −0.468032 | + | 0.810655i | −0.999333 | − | 0.0365280i | \(-0.988370\pi\) |
0.531300 | + | 0.847183i | \(0.321704\pi\) | |||||||
\(38\) | −5590.40 | − | 9682.86i | −0.628035 | − | 1.08779i | ||||
\(39\) | 1572.37 | + | 2723.43i | 0.165536 | + | 0.286717i | ||||
\(40\) | −2415.76 | + | 4184.21i | −0.238728 | + | 0.413489i | ||||
\(41\) | −7640.49 | −0.709842 | −0.354921 | − | 0.934896i | \(-0.615492\pi\) | ||||
−0.354921 | + | 0.934896i | \(0.615492\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 12188.8 | 1.00529 | 0.502645 | − | 0.864493i | \(-0.332360\pi\) | ||||
0.502645 | + | 0.864493i | \(0.332360\pi\) | |||||||
\(44\) | 1195.69 | − | 2071.00i | 0.0931083 | − | 0.161268i | ||||
\(45\) | −3057.44 | − | 5295.64i | −0.225075 | − | 0.389841i | ||||
\(46\) | −3627.94 | − | 6283.77i | −0.252793 | − | 0.437851i | ||||
\(47\) | 12299.4 | − | 21303.2i | 0.812156 | − | 1.40670i | −0.0991964 | − | 0.995068i | \(-0.531627\pi\) |
0.911352 | − | 0.411627i | \(-0.135039\pi\) | |||||||
\(48\) | 2304.00 | 0.144338 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 10296.4 | 0.582451 | ||||||||
\(51\) | −5174.31 | + | 8962.17i | −0.278565 | + | 0.482489i | ||||
\(52\) | 2795.33 | + | 4841.65i | 0.143359 | + | 0.248305i | ||||
\(53\) | −6798.11 | − | 11774.7i | −0.332429 | − | 0.575783i | 0.650559 | − | 0.759456i | \(-0.274535\pi\) |
−0.982988 | + | 0.183672i | \(0.941201\pi\) | |||||||
\(54\) | −1458.00 | + | 2525.33i | −0.0680414 | + | 0.117851i | ||||
\(55\) | −11283.2 | −0.502952 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 25156.8 | 1.02558 | ||||||||
\(58\) | 1518.07 | − | 2629.37i | 0.0592544 | − | 0.102632i | ||||
\(59\) | −13179.4 | − | 22827.4i | −0.492908 | − | 0.853742i | 0.507059 | − | 0.861912i | \(-0.330733\pi\) |
−0.999967 | + | 0.00816991i | \(0.997399\pi\) | |||||||
\(60\) | −5435.45 | − | 9414.47i | −0.194920 | − | 0.337612i | ||||
\(61\) | 17660.9 | − | 30589.5i | 0.607698 | − | 1.05256i | −0.383921 | − | 0.923366i | \(-0.625427\pi\) |
0.991619 | − | 0.129198i | \(-0.0412402\pi\) | |||||||
\(62\) | −36127.0 | −1.19358 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4096.00 | 0.125000 | ||||||||
\(65\) | 13189.1 | − | 22844.2i | 0.387197 | − | 0.670645i | ||||
\(66\) | 2690.31 | + | 4659.76i | 0.0760226 | + | 0.131675i | ||||
\(67\) | −27186.0 | − | 47087.5i | −0.739874 | − | 1.28150i | −0.952552 | − | 0.304377i | \(-0.901552\pi\) |
0.212678 | − | 0.977122i | \(-0.431781\pi\) | |||||||
\(68\) | −9198.78 | + | 15932.7i | −0.241245 | + | 0.417848i | ||||
\(69\) | 16325.7 | 0.412810 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −70145.7 | −1.65141 | −0.825706 | − | 0.564101i | \(-0.809223\pi\) | ||||
−0.825706 | + | 0.564101i | \(0.809223\pi\) | |||||||
\(72\) | −2592.00 | + | 4489.48i | −0.0589256 | + | 0.102062i | ||||
\(73\) | −22234.4 | − | 38511.1i | −0.488335 | − | 0.845822i | 0.511574 | − | 0.859239i | \(-0.329062\pi\) |
−0.999910 | + | 0.0134170i | \(0.995729\pi\) | |||||||
\(74\) | −15589.8 | − | 27002.3i | −0.330949 | − | 0.573220i | ||||
\(75\) | −11583.4 | + | 20063.1i | −0.237785 | + | 0.411855i | ||||
\(76\) | 44723.2 | 0.888176 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | −12579.0 | −0.234104 | ||||||||
\(79\) | −30806.2 | + | 53357.9i | −0.555355 | + | 0.961903i | 0.442521 | + | 0.896758i | \(0.354084\pi\) |
−0.997876 | + | 0.0651450i | \(0.979249\pi\) | |||||||
\(80\) | −9663.02 | − | 16736.8i | −0.168806 | − | 0.292381i | ||||
\(81\) | −3280.50 | − | 5681.99i | −0.0555556 | − | 0.0962250i | ||||
\(82\) | 15281.0 | − | 26467.5i | 0.250967 | − | 0.434688i | ||||
\(83\) | 87142.0 | 1.38846 | 0.694228 | − | 0.719755i | \(-0.255746\pi\) | ||||
0.694228 | + | 0.719755i | \(0.255746\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 86804.6 | 1.30315 | ||||||||
\(86\) | −24377.7 | + | 42223.4i | −0.355423 | + | 0.615611i | ||||
\(87\) | 3415.65 | + | 5916.08i | 0.0483810 | + | 0.0837984i | ||||
\(88\) | 4782.78 | + | 8284.01i | 0.0658375 | + | 0.114034i | ||||
\(89\) | 49284.7 | − | 85363.6i | 0.659534 | − | 1.14235i | −0.321203 | − | 0.947010i | \(-0.604087\pi\) |
0.980736 | − | 0.195336i | \(-0.0625796\pi\) | |||||||
\(90\) | 24459.5 | 0.318304 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 29023.5 | 0.357504 | ||||||||
\(93\) | 40642.9 | − | 70395.5i | 0.487278 | − | 0.843990i | ||||
\(94\) | 49197.6 | + | 85212.8i | 0.574281 | + | 0.994684i | ||||
\(95\) | −105508. | − | 182745.i | −1.19944 | − | 2.07748i | ||||
\(96\) | −4608.00 | + | 7981.29i | −0.0510310 | + | 0.0883883i | ||||
\(97\) | −32342.3 | −0.349013 | −0.174507 | − | 0.984656i | \(-0.555833\pi\) | ||||
−0.174507 | + | 0.984656i | \(0.555833\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | −12106.4 | −0.124144 | ||||||||
\(100\) | −20592.8 | + | 35667.7i | −0.205928 | + | 0.356677i | ||||
\(101\) | 15673.2 | + | 27146.8i | 0.152881 | + | 0.264798i | 0.932286 | − | 0.361723i | \(-0.117811\pi\) |
−0.779404 | + | 0.626521i | \(0.784478\pi\) | |||||||
\(102\) | −20697.2 | − | 35848.7i | −0.196975 | − | 0.341171i | ||||
\(103\) | 49666.5 | − | 86024.8i | 0.461286 | − | 0.798970i | −0.537740 | − | 0.843111i | \(-0.680722\pi\) |
0.999025 | + | 0.0441406i | \(0.0140549\pi\) | |||||||
\(104\) | −22362.6 | −0.202740 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 54384.9 | 0.470125 | ||||||||
\(107\) | 72634.0 | − | 125806.i | 0.613310 | − | 1.06228i | −0.377368 | − | 0.926063i | \(-0.623171\pi\) |
0.990678 | − | 0.136221i | \(-0.0434959\pi\) | |||||||
\(108\) | −5832.00 | − | 10101.3i | −0.0481125 | − | 0.0833333i | ||||
\(109\) | 90425.4 | + | 156621.i | 0.728994 | + | 1.26265i | 0.957309 | + | 0.289067i | \(0.0933452\pi\) |
−0.228315 | + | 0.973587i | \(0.573321\pi\) | |||||||
\(110\) | 22566.4 | − | 39086.2i | 0.177820 | − | 0.307994i | ||||
\(111\) | 70154.0 | 0.540437 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 197832. | 1.45748 | 0.728738 | − | 0.684793i | \(-0.240107\pi\) | ||||
0.728738 | + | 0.684793i | \(0.240107\pi\) | |||||||
\(114\) | −50313.6 | + | 87145.8i | −0.362596 | + | 0.628035i | ||||
\(115\) | −68470.4 | − | 118594.i | −0.482790 | − | 0.836217i | ||||
\(116\) | 6072.27 | + | 10517.5i | 0.0418992 | + | 0.0725715i | ||||
\(117\) | 14151.3 | − | 24510.8i | 0.0955725 | − | 0.165536i | ||||
\(118\) | 105435. | 0.697077 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 43483.6 | 0.275659 | ||||||||
\(121\) | 69356.1 | − | 120128.i | 0.430647 | − | 0.745902i | ||||
\(122\) | 70643.5 | + | 122358.i | 0.429707 | + | 0.744275i | ||||
\(123\) | 34382.2 | + | 59551.8i | 0.204914 | + | 0.354921i | ||||
\(124\) | 72254.0 | − | 125148.i | 0.421995 | − | 0.730917i | ||||
\(125\) | −41589.2 | −0.238070 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −33517.2 | −0.184399 | −0.0921996 | − | 0.995741i | \(-0.529390\pi\) | ||||
−0.0921996 | + | 0.995741i | \(0.529390\pi\) | |||||||
\(128\) | −8192.00 | + | 14189.0i | −0.0441942 | + | 0.0765466i | ||||
\(129\) | −54849.8 | − | 95002.6i | −0.290202 | − | 0.502645i | ||||
\(130\) | 52756.4 | + | 91376.8i | 0.273790 | + | 0.474218i | ||||
\(131\) | −5404.45 | + | 9360.79i | −0.0275153 | + | 0.0476578i | −0.879455 | − | 0.475982i | \(-0.842093\pi\) |
0.851940 | + | 0.523640i | \(0.175426\pi\) | |||||||
\(132\) | −21522.5 | −0.107512 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 217488. | 1.04634 | ||||||||
\(135\) | −27517.0 | + | 47660.8i | −0.129947 | + | 0.225075i | ||||
\(136\) | −36795.1 | − | 63731.0i | −0.170586 | − | 0.295463i | ||||
\(137\) | 9466.01 | + | 16395.6i | 0.0430889 | + | 0.0746322i | 0.886766 | − | 0.462220i | \(-0.152947\pi\) |
−0.843677 | + | 0.536852i | \(0.819613\pi\) | |||||||
\(138\) | −32651.4 | + | 56554.0i | −0.145950 | + | 0.252793i | ||||
\(139\) | 168897. | 0.741457 | 0.370729 | − | 0.928741i | \(-0.379108\pi\) | ||||
0.370729 | + | 0.928741i | \(0.379108\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −221389. | −0.937797 | ||||||||
\(142\) | 140291. | − | 242992.i | 0.583862 | − | 1.01128i | ||||
\(143\) | −26112.1 | − | 45227.6i | −0.106783 | − | 0.184954i | ||||
\(144\) | −10368.0 | − | 17957.9i | −0.0416667 | − | 0.0721688i | ||||
\(145\) | 28650.6 | − | 49624.3i | 0.113165 | − | 0.196008i | ||||
\(146\) | 177875. | 0.690611 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 124718. | 0.468032 | ||||||||
\(149\) | −132001. | + | 228633.i | −0.487093 | + | 0.843670i | −0.999890 | − | 0.0148402i | \(-0.995276\pi\) |
0.512797 | + | 0.858510i | \(0.328609\pi\) | |||||||
\(150\) | −46333.7 | − | 80252.3i | −0.168139 | − | 0.291226i | ||||
\(151\) | −139587. | − | 241772.i | −0.498200 | − | 0.862908i | 0.501798 | − | 0.864985i | \(-0.332672\pi\) |
−0.999998 | + | 0.00207707i | \(0.999339\pi\) | |||||||
\(152\) | −89446.4 | + | 154926.i | −0.314018 | + | 0.543895i | ||||
\(153\) | 93137.6 | 0.321660 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −681828. | −2.27953 | ||||||||
\(156\) | 25157.9 | − | 43574.8i | 0.0827682 | − | 0.143359i | ||||
\(157\) | 94301.2 | + | 163334.i | 0.305329 | + | 0.528845i | 0.977334 | − | 0.211701i | \(-0.0679003\pi\) |
−0.672006 | + | 0.740546i | \(0.734567\pi\) | |||||||
\(158\) | −123225. | − | 213432.i | −0.392695 | − | 0.680168i | ||||
\(159\) | −61183.0 | + | 105972.i | −0.191928 | + | 0.332429i | ||||
\(160\) | 77304.2 | 0.238728 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 26244.0 | 0.0785674 | ||||||||
\(163\) | −44858.7 | + | 77697.5i | −0.132244 | + | 0.229054i | −0.924541 | − | 0.381081i | \(-0.875552\pi\) |
0.792297 | + | 0.610136i | \(0.208885\pi\) | |||||||
\(164\) | 61124.0 | + | 105870.i | 0.177461 | + | 0.307371i | ||||
\(165\) | 50774.5 | + | 87944.0i | 0.145190 | + | 0.251476i | ||||
\(166\) | −174284. | + | 301869.i | −0.490893 | + | 0.850252i | ||||
\(167\) | −529411. | −1.46893 | −0.734467 | − | 0.678645i | \(-0.762568\pi\) | ||||
−0.734467 | + | 0.678645i | \(0.762568\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −249202. | −0.671172 | ||||||||
\(170\) | −173609. | + | 300700.i | −0.460734 | + | 0.798015i | ||||
\(171\) | −113206. | − | 196078.i | −0.296059 | − | 0.512789i | ||||
\(172\) | −97510.7 | − | 168893.i | −0.251322 | − | 0.435303i | ||||
\(173\) | 16919.2 | − | 29304.8i | 0.0429797 | − | 0.0744430i | −0.843735 | − | 0.536759i | \(-0.819648\pi\) |
0.886715 | + | 0.462316i | \(0.152982\pi\) | |||||||
\(174\) | −27325.2 | −0.0684211 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −38262.2 | −0.0931083 | ||||||||
\(177\) | −118615. | + | 205447.i | −0.284581 | + | 0.492908i | ||||
\(178\) | 197139. | + | 341454.i | 0.466361 | + | 0.807761i | ||||
\(179\) | 123872. | + | 214552.i | 0.288962 | + | 0.500496i | 0.973562 | − | 0.228422i | \(-0.0733567\pi\) |
−0.684601 | + | 0.728918i | \(0.740023\pi\) | |||||||
\(180\) | −48919.0 | + | 84730.3i | −0.112537 | + | 0.194920i | ||||
\(181\) | −369470. | −0.838268 | −0.419134 | − | 0.907924i | \(-0.637666\pi\) | ||||
−0.419134 | + | 0.907924i | \(0.637666\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −317896. | −0.701709 | ||||||||
\(184\) | −58047.0 | + | 100540.i | −0.126397 | + | 0.218925i | ||||
\(185\) | −294227. | − | 509617.i | −0.632053 | − | 1.09475i | ||||
\(186\) | 162571. | + | 281582.i | 0.344558 | + | 0.596791i | ||||
\(187\) | 85929.1 | − | 148833.i | 0.179695 | − | 0.311241i | ||||
\(188\) | −393581. | −0.812156 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 844065. | 1.69626 | ||||||||
\(191\) | 242612. | − | 420217.i | 0.481204 | − | 0.833470i | −0.518563 | − | 0.855039i | \(-0.673533\pi\) |
0.999767 | + | 0.0215693i | \(0.00686625\pi\) | |||||||
\(192\) | −18432.0 | − | 31925.2i | −0.0360844 | − | 0.0625000i | ||||
\(193\) | 165409. | + | 286496.i | 0.319643 | + | 0.553637i | 0.980413 | − | 0.196950i | \(-0.0631038\pi\) |
−0.660771 | + | 0.750588i | \(0.729770\pi\) | |||||||
\(194\) | 64684.7 | − | 112037.i | 0.123395 | − | 0.213726i | ||||
\(195\) | −237404. | −0.447097 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −161963. | −0.297337 | −0.148669 | − | 0.988887i | \(-0.547499\pi\) | ||||
−0.148669 | + | 0.988887i | \(0.547499\pi\) | |||||||
\(198\) | 24212.8 | − | 41937.8i | 0.0438917 | − | 0.0760226i | ||||
\(199\) | 27698.1 | + | 47974.5i | 0.0495813 | + | 0.0858773i | 0.889751 | − | 0.456446i | \(-0.150878\pi\) |
−0.840170 | + | 0.542324i | \(0.817545\pi\) | |||||||
\(200\) | −82371.0 | − | 142671.i | −0.145613 | − | 0.252209i | ||||
\(201\) | −244674. | + | 423787.i | −0.427166 | + | 0.739874i | ||||
\(202\) | −125386. | −0.216207 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 165578. | 0.278565 | ||||||||
\(205\) | 288399. | − | 499522.i | 0.479303 | − | 0.830176i | ||||
\(206\) | 198666. | + | 344099.i | 0.326178 | + | 0.564957i | ||||
\(207\) | −73465.8 | − | 127246.i | −0.119168 | − | 0.206405i | ||||
\(208\) | 44725.2 | − | 77466.4i | 0.0716794 | − | 0.124152i | ||||
\(209\) | −417776. | −0.661572 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 481748. | 0.744926 | 0.372463 | − | 0.928047i | \(-0.378513\pi\) | ||||
0.372463 | + | 0.928047i | \(0.378513\pi\) | |||||||
\(212\) | −108770. | + | 188395.i | −0.166214 | + | 0.287892i | ||||
\(213\) | 315656. | + | 546732.i | 0.476722 | + | 0.825706i | ||||
\(214\) | 290536. | + | 503223.i | 0.433676 | + | 0.751149i | ||||
\(215\) | −460082. | + | 796885.i | −0.678795 | + | 1.17571i | ||||
\(216\) | 46656.0 | 0.0680414 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | −723403. | −1.03095 | ||||||||
\(219\) | −200110. | + | 346600.i | −0.281941 | + | 0.488335i | ||||
\(220\) | 90265.7 | + | 156345.i | 0.125738 | + | 0.217784i | ||||
\(221\) | 200887. | + | 347947.i | 0.276676 | + | 0.479217i | ||||
\(222\) | −140308. | + | 243021.i | −0.191073 | + | 0.330949i | ||||
\(223\) | −638779. | −0.860178 | −0.430089 | − | 0.902787i | \(-0.641518\pi\) | ||||
−0.430089 | + | 0.902787i | \(0.641518\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 208502. | 0.274570 | ||||||||
\(226\) | −395665. | + | 685312.i | −0.515295 | + | 0.892518i | ||||
\(227\) | −262841. | − | 455254.i | −0.338554 | − | 0.586394i | 0.645607 | − | 0.763670i | \(-0.276605\pi\) |
−0.984161 | + | 0.177277i | \(0.943271\pi\) | |||||||
\(228\) | −201255. | − | 348583.i | −0.256394 | − | 0.444088i | ||||
\(229\) | 466343. | − | 807730.i | 0.587647 | − | 1.01784i | −0.406892 | − | 0.913476i | \(-0.633388\pi\) |
0.994540 | − | 0.104359i | \(-0.0332791\pi\) | |||||||
\(230\) | 547763. | 0.682768 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −48578.1 | −0.0592544 | ||||||||
\(233\) | 353896. | − | 612967.i | 0.427058 | − | 0.739685i | −0.569553 | − | 0.821955i | \(-0.692884\pi\) |
0.996610 | + | 0.0822696i | \(0.0262168\pi\) | |||||||
\(234\) | 56605.4 | + | 98043.4i | 0.0675800 | + | 0.117052i | ||||
\(235\) | 928511. | + | 1.60823e6i | 1.09677 | + | 1.89967i | ||||
\(236\) | −210871. | + | 365238.i | −0.246454 | + | 0.426871i | ||||
\(237\) | 554512. | 0.641269 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −500614. | −0.566902 | −0.283451 | − | 0.958987i | \(-0.591479\pi\) | ||||
−0.283451 | + | 0.958987i | \(0.591479\pi\) | |||||||
\(240\) | −86967.2 | + | 150632.i | −0.0974602 | + | 0.168806i | ||||
\(241\) | 604109. | + | 1.04635e6i | 0.669997 | + | 1.16047i | 0.977904 | + | 0.209052i | \(0.0670379\pi\) |
−0.307907 | + | 0.951416i | \(0.599629\pi\) | |||||||
\(242\) | 277424. | + | 480513.i | 0.304513 | + | 0.527432i | ||||
\(243\) | −29524.5 | + | 51137.9i | −0.0320750 | + | 0.0555556i | ||||
\(244\) | −565148. | −0.607698 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −275058. | −0.289792 | ||||||||
\(247\) | 488344. | − | 845836.i | 0.509311 | − | 0.882153i | ||||
\(248\) | 289016. | + | 500590.i | 0.298396 | + | 0.516836i | ||||
\(249\) | −392139. | − | 679204.i | −0.400813 | − | 0.694228i | ||||
\(250\) | 83178.3 | − | 144069.i | 0.0841705 | − | 0.145788i | ||||
\(251\) | −97826.7 | −0.0980106 | −0.0490053 | − | 0.998799i | \(-0.515605\pi\) | ||||
−0.0490053 | + | 0.998799i | \(0.515605\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −271119. | −0.266292 | ||||||||
\(254\) | 67034.5 | − | 116107.i | 0.0651949 | − | 0.112921i | ||||
\(255\) | −390621. | − | 676575.i | −0.376188 | − | 0.651577i | ||||
\(256\) | −32768.0 | − | 56755.8i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −553956. | + | 959481.i | −0.523170 | + | 0.906157i | 0.476466 | + | 0.879193i | \(0.341917\pi\) |
−0.999636 | + | 0.0269643i | \(0.991416\pi\) | |||||||
\(258\) | 438798. | 0.410408 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | −422052. | −0.387197 | ||||||||
\(261\) | 30740.8 | − | 53244.7i | 0.0279328 | − | 0.0483810i | ||||
\(262\) | −21617.8 | − | 37443.2i | −0.0194562 | − | 0.0336992i | ||||
\(263\) | −753427. | − | 1.30497e6i | −0.671663 | − | 1.16336i | −0.977432 | − | 0.211249i | \(-0.932247\pi\) |
0.305769 | − | 0.952106i | \(-0.401087\pi\) | |||||||
\(264\) | 43045.0 | − | 74556.1i | 0.0380113 | − | 0.0658375i | ||||
\(265\) | 1.02641e6 | 0.897856 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −887125. | −0.761564 | ||||||||
\(268\) | −434975. | + | 753399.i | −0.369937 | + | 0.640750i | ||||
\(269\) | −1.06751e6 | − | 1.84898e6i | −0.899481 | − | 1.55795i | −0.828159 | − | 0.560493i | \(-0.810612\pi\) |
−0.0713221 | − | 0.997453i | \(-0.522722\pi\) | |||||||
\(270\) | −110068. | − | 190643.i | −0.0918864 | − | 0.159152i | ||||
\(271\) | 614299. | − | 1.06400e6i | 0.508108 | − | 0.880070i | −0.491847 | − | 0.870681i | \(-0.663678\pi\) |
0.999956 | − | 0.00938828i | \(-0.00298843\pi\) | |||||||
\(272\) | 294361. | 0.241245 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −75728.1 | −0.0609369 | ||||||||
\(275\) | 192364. | − | 333185.i | 0.153388 | − | 0.265677i | ||||
\(276\) | −130606. | − | 226216.i | −0.103202 | − | 0.178752i | ||||
\(277\) | 923412. | + | 1.59940e6i | 0.723097 | + | 1.25244i | 0.959753 | + | 0.280847i | \(0.0906152\pi\) |
−0.236656 | + | 0.971593i | \(0.576051\pi\) | |||||||
\(278\) | −337795. | + | 585078.i | −0.262145 | + | 0.454048i | ||||
\(279\) | −731571. | −0.562660 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.28326e6 | −1.72500 | −0.862500 | − | 0.506056i | \(-0.831103\pi\) | ||||
−0.862500 | + | 0.506056i | \(0.831103\pi\) | |||||||
\(282\) | 442779. | − | 766915.i | 0.331561 | − | 0.574281i | ||||
\(283\) | 668463. | + | 1.15781e6i | 0.496148 | + | 0.859354i | 0.999990 | − | 0.00444218i | \(-0.00141400\pi\) |
−0.503842 | + | 0.863796i | \(0.668081\pi\) | |||||||
\(284\) | 561166. | + | 971968.i | 0.412853 | + | 0.715082i | ||||
\(285\) | −949573. | + | 1.64471e6i | −0.692495 | + | 1.19944i | ||||
\(286\) | 208897. | 0.151014 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 82944.0 | 0.0589256 | ||||||||
\(289\) | 48854.5 | − | 84618.5i | 0.0344081 | − | 0.0595965i | ||||
\(290\) | 114602. | + | 198497.i | 0.0800200 | + | 0.138599i | ||||
\(291\) | 145541. | + | 252084.i | 0.100751 | + | 0.174507i | ||||
\(292\) | −355750. | + | 616178.i | −0.244168 | + | 0.422911i | ||||
\(293\) | 2.23033e6 | 1.51775 | 0.758875 | − | 0.651236i | \(-0.225749\pi\) | ||||
0.758875 | + | 0.651236i | \(0.225749\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 1.98989e6 | 1.33129 | ||||||||
\(296\) | −249436. | + | 432037.i | −0.165474 | + | 0.286610i | ||||
\(297\) | 54478.8 | + | 94360.1i | 0.0358374 | + | 0.0620722i | ||||
\(298\) | −528004. | − | 914530.i | −0.344427 | − | 0.596565i | ||||
\(299\) | 316915. | − | 548913.i | 0.205005 | − | 0.355079i | ||||
\(300\) | 370670. | 0.237785 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 1.11670e6 | 0.704561 | ||||||||
\(303\) | 141059. | − | 244321.i | 0.0882661 | − | 0.152881i | ||||
\(304\) | −357786. | − | 619703.i | −0.222044 | − | 0.384592i | ||||
\(305\) | 1.33326e6 | + | 2.30928e6i | 0.820664 | + | 1.42143i | ||||
\(306\) | −186275. | + | 322638.i | −0.113724 | + | 0.196975i | ||||
\(307\) | −1.77782e6 | −1.07657 | −0.538284 | − | 0.842763i | \(-0.680927\pi\) | ||||
−0.538284 | + | 0.842763i | \(0.680927\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −893996. | −0.532647 | ||||||||
\(310\) | 1.36366e6 | − | 2.36192e6i | 0.805936 | − | 1.39592i | ||||
\(311\) | 701358. | + | 1.21479e6i | 0.411187 | + | 0.712196i | 0.995020 | − | 0.0996776i | \(-0.0317811\pi\) |
−0.583833 | + | 0.811874i | \(0.698448\pi\) | |||||||
\(312\) | 100632. | + | 174299.i | 0.0585260 | + | 0.101370i | ||||
\(313\) | 609472. | − | 1.05564e6i | 0.351636 | − | 0.609051i | −0.634900 | − | 0.772594i | \(-0.718959\pi\) |
0.986536 | + | 0.163543i | \(0.0522922\pi\) | |||||||
\(314\) | −754409. | −0.431800 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 985799. | 0.555355 | ||||||||
\(317\) | −1.34001e6 | + | 2.32096e6i | −0.748961 | + | 1.29724i | 0.199361 | + | 0.979926i | \(0.436113\pi\) |
−0.948321 | + | 0.317312i | \(0.897220\pi\) | |||||||
\(318\) | −244732. | − | 423888.i | −0.135713 | − | 0.235063i | ||||
\(319\) | −56723.2 | − | 98247.5i | −0.0312093 | − | 0.0540561i | ||||
\(320\) | −154608. | + | 267789.i | −0.0844030 | + | 0.146190i | ||||
\(321\) | −1.30741e6 | −0.708190 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 3.21405e6 | 1.71414 | ||||||||
\(324\) | −52488.0 | + | 90911.9i | −0.0277778 | + | 0.0481125i | ||||
\(325\) | 449715. | + | 778929.i | 0.236172 | + | 0.409062i | ||||
\(326\) | −179435. | − | 310790.i | −0.0935110 | − | 0.161966i | ||||
\(327\) | 813828. | − | 1.40959e6i | 0.420885 | − | 0.728994i | ||||
\(328\) | −488992. | −0.250967 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | −406196. | −0.205329 | ||||||||
\(331\) | −71280.1 | + | 123461.i | −0.0357601 | + | 0.0619383i | −0.883352 | − | 0.468711i | \(-0.844719\pi\) |
0.847591 | + | 0.530649i | \(0.178052\pi\) | |||||||
\(332\) | −697136. | − | 1.20747e6i | −0.347114 | − | 0.601219i | ||||
\(333\) | −315693. | − | 546796.i | −0.156011 | − | 0.270218i | ||||
\(334\) | 1.05882e6 | − | 1.83393e6i | 0.519346 | − | 0.899534i | ||||
\(335\) | 4.10466e6 | 1.99832 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.21206e6 | −0.581367 | −0.290683 | − | 0.956819i | \(-0.593883\pi\) | ||||
−0.290683 | + | 0.956819i | \(0.593883\pi\) | |||||||
\(338\) | 498403. | − | 863260.i | 0.237295 | − | 0.411007i | ||||
\(339\) | −890246. | − | 1.54195e6i | −0.420737 | − | 0.728738i | ||||
\(340\) | −694437. | − | 1.20280e6i | −0.325788 | − | 0.564282i | ||||
\(341\) | −674950. | + | 1.16905e6i | −0.314330 | + | 0.544435i | ||||
\(342\) | 905645. | 0.418690 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 780085. | 0.355423 | ||||||||
\(345\) | −616234. | + | 1.06735e6i | −0.278739 | + | 0.482790i | ||||
\(346\) | 67676.6 | + | 117219.i | 0.0303912 | + | 0.0526392i | ||||
\(347\) | −1.73426e6 | − | 3.00383e6i | −0.773199 | − | 1.33922i | −0.935801 | − | 0.352529i | \(-0.885322\pi\) |
0.162602 | − | 0.986692i | \(-0.448011\pi\) | |||||||
\(348\) | 54650.4 | − | 94657.2i | 0.0241905 | − | 0.0418992i | ||||
\(349\) | −1.01692e6 | −0.446911 | −0.223456 | − | 0.974714i | \(-0.571734\pi\) | ||||
−0.223456 | + | 0.974714i | \(0.571734\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −254724. | −0.110358 | ||||||||
\(352\) | 76524.4 | − | 132544.i | 0.0329187 | − | 0.0570169i | ||||
\(353\) | 781927. | + | 1.35434e6i | 0.333987 | + | 0.578483i | 0.983290 | − | 0.182048i | \(-0.0582725\pi\) |
−0.649303 | + | 0.760530i | \(0.724939\pi\) | |||||||
\(354\) | −474459. | − | 821786.i | −0.201229 | − | 0.348539i | ||||
\(355\) | 2.64773e6 | − | 4.58601e6i | 1.11507 | − | 1.93136i | ||||
\(356\) | −1.57711e6 | −0.659534 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −990975. | −0.408653 | ||||||||
\(359\) | −24776.6 | + | 42914.3i | −0.0101462 | + | 0.0175738i | −0.871054 | − | 0.491187i | \(-0.836563\pi\) |
0.860908 | + | 0.508761i | \(0.169896\pi\) | |||||||
\(360\) | −195676. | − | 338921.i | −0.0795759 | − | 0.137830i | ||||
\(361\) | −2.66853e6 | − | 4.62202e6i | −1.07771 | − | 1.86666i | ||||
\(362\) | 738940. | − | 1.27988e6i | 0.296373 | − | 0.513332i | ||||
\(363\) | −1.24841e6 | −0.497268 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.35705e6 | 1.31894 | ||||||||
\(366\) | 635792. | − | 1.10122e6i | 0.248092 | − | 0.429707i | ||||
\(367\) | 1.77416e6 | + | 3.07293e6i | 0.687585 | + | 1.19093i | 0.972617 | + | 0.232414i | \(0.0746626\pi\) |
−0.285032 | + | 0.958518i | \(0.592004\pi\) | |||||||
\(368\) | −232188. | − | 402162.i | −0.0893759 | − | 0.154804i | ||||
\(369\) | 309440. | − | 535966.i | 0.118307 | − | 0.204914i | ||||
\(370\) | 2.35382e6 | 0.893858 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | −1.30057e6 | −0.487278 | ||||||||
\(373\) | 1.12787e6 | − | 1.95352e6i | 0.419745 | − | 0.727020i | −0.576169 | − | 0.817331i | \(-0.695453\pi\) |
0.995914 | + | 0.0903112i | \(0.0287862\pi\) | |||||||
\(374\) | 343716. | + | 595334.i | 0.127064 | + | 0.220081i | ||||
\(375\) | 187151. | + | 324155.i | 0.0687250 | + | 0.119035i | ||||
\(376\) | 787162. | − | 1.36340e6i | 0.287140 | − | 0.497342i | ||||
\(377\) | 265218. | 0.0961059 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.39503e6 | 1.57168 | 0.785840 | − | 0.618430i | \(-0.212231\pi\) | ||||
0.785840 | + | 0.618430i | \(0.212231\pi\) | |||||||
\(380\) | −1.68813e6 | + | 2.92393e6i | −0.599718 | + | 1.03874i | ||||
\(381\) | 150828. | + | 261241.i | 0.0532315 | + | 0.0921996i | ||||
\(382\) | 970449. | + | 1.68087e6i | 0.340263 | + | 0.589352i | ||||
\(383\) | −613904. | + | 1.06331e6i | −0.213847 | + | 0.370394i | −0.952915 | − | 0.303237i | \(-0.901933\pi\) |
0.739068 | + | 0.673631i | \(0.235266\pi\) | |||||||
\(384\) | 147456. | 0.0510310 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −1.32327e6 | −0.452043 | ||||||||
\(387\) | −493648. | + | 855023.i | −0.167548 | + | 0.290202i | ||||
\(388\) | 258739. | + | 448149.i | 0.0872533 | + | 0.151127i | ||||
\(389\) | −1.02712e6 | − | 1.77903e6i | −0.344150 | − | 0.596086i | 0.641049 | − | 0.767500i | \(-0.278500\pi\) |
−0.985199 | + | 0.171415i | \(0.945166\pi\) | |||||||
\(390\) | 474808. | − | 822391.i | 0.158073 | − | 0.273790i | ||||
\(391\) | 2.08579e6 | 0.689967 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 97280.2 | 0.0317719 | ||||||||
\(394\) | 323925. | − | 561055.i | 0.105125 | − | 0.182081i | ||||
\(395\) | −2.32563e6 | − | 4.02812e6i | −0.749978 | − | 1.29900i | ||||
\(396\) | 96851.2 | + | 167751.i | 0.0310361 | + | 0.0537561i | ||||
\(397\) | −1.90184e6 | + | 3.29408e6i | −0.605615 | + | 1.04896i | 0.386339 | + | 0.922357i | \(0.373740\pi\) |
−0.991954 | + | 0.126599i | \(0.959594\pi\) | |||||||
\(398\) | −221585. | −0.0701185 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 658968. | 0.205928 | ||||||||
\(401\) | −592622. | + | 1.02645e6i | −0.184042 | + | 0.318770i | −0.943253 | − | 0.332074i | \(-0.892252\pi\) |
0.759211 | + | 0.650844i | \(0.225585\pi\) | |||||||
\(402\) | −978695. | − | 1.69515e6i | −0.302052 | − | 0.523170i | ||||
\(403\) | −1.57792e6 | − | 2.73303e6i | −0.483974 | − | 0.838267i | ||||
\(404\) | 250771. | − | 434349.i | 0.0764406 | − | 0.132399i | ||||
\(405\) | 495305. | 0.150050 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −1.16504e6 | −0.348621 | ||||||||
\(408\) | −331156. | + | 573579.i | −0.0984877 | + | 0.170586i | ||||
\(409\) | −2.15197e6 | − | 3.72731e6i | −0.636102 | − | 1.10176i | −0.986280 | − | 0.165079i | \(-0.947212\pi\) |
0.350178 | − | 0.936683i | \(-0.386121\pi\) | |||||||
\(410\) | 1.15360e6 | + | 1.99809e6i | 0.338918 | + | 0.587023i | ||||
\(411\) | 85194.1 | − | 147560.i | 0.0248774 | − | 0.0430889i | ||||
\(412\) | −1.58933e6 | −0.461286 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 587726. | 0.168529 | ||||||||
\(415\) | −3.28928e6 | + | 5.69719e6i | −0.937519 | + | 1.62383i | ||||
\(416\) | 178901. | + | 309865.i | 0.0506850 | + | 0.0877889i | ||||
\(417\) | −760038. | − | 1.31643e6i | −0.214040 | − | 0.370729i | ||||
\(418\) | 835551. | − | 1.44722e6i | 0.233901 | − | 0.405129i | ||||
\(419\) | 113725. | 0.0316461 | 0.0158230 | − | 0.999875i | \(-0.494963\pi\) | ||||
0.0158230 | + | 0.999875i | \(0.494963\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 443417. | 0.121929 | 0.0609645 | − | 0.998140i | \(-0.480582\pi\) | ||||
0.0609645 | + | 0.998140i | \(0.480582\pi\) | |||||||
\(422\) | −963495. | + | 1.66882e6i | −0.263371 | + | 0.456172i | ||||
\(423\) | 996252. | + | 1.72556e6i | 0.270719 | + | 0.468898i | ||||
\(424\) | −435079. | − | 753579.i | −0.117531 | − | 0.203570i | ||||
\(425\) | −1.47991e6 | + | 2.56327e6i | −0.397431 | + | 0.688371i | ||||
\(426\) | −2.52525e6 | −0.674186 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | −2.32429e6 | −0.613310 | ||||||||
\(429\) | −235009. | + | 407048.i | −0.0616512 | + | 0.106783i | ||||
\(430\) | −1.84033e6 | − | 3.18754e6i | −0.479981 | − | 0.831351i | ||||
\(431\) | −2.31655e6 | − | 4.01239e6i | −0.600688 | − | 1.04042i | −0.992717 | − | 0.120469i | \(-0.961560\pi\) |
0.392029 | − | 0.919953i | \(-0.371773\pi\) | |||||||
\(432\) | −93312.0 | + | 161621.i | −0.0240563 | + | 0.0416667i | ||||
\(433\) | −6.57955e6 | −1.68646 | −0.843231 | − | 0.537552i | \(-0.819349\pi\) | ||||
−0.843231 | + | 0.537552i | \(0.819349\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | −515711. | −0.130672 | ||||||||
\(436\) | 1.44681e6 | − | 2.50594e6i | 0.364497 | − | 0.631327i | ||||
\(437\) | −2.53520e6 | − | 4.39110e6i | −0.635052 | − | 1.09994i | ||||
\(438\) | −800438. | − | 1.38640e6i | −0.199362 | − | 0.345305i | ||||
\(439\) | −910348. | + | 1.57677e6i | −0.225448 | + | 0.390487i | −0.956454 | − | 0.291884i | \(-0.905718\pi\) |
0.731006 | + | 0.682371i | \(0.239051\pi\) | |||||||
\(440\) | −722126. | −0.177820 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.60710e6 | −0.391279 | ||||||||
\(443\) | 1.03495e6 | − | 1.79259e6i | 0.250559 | − | 0.433982i | −0.713121 | − | 0.701041i | \(-0.752719\pi\) |
0.963680 | + | 0.267060i | \(0.0860521\pi\) | |||||||
\(444\) | −561232. | − | 972083.i | −0.135109 | − | 0.234016i | ||||
\(445\) | 3.72062e6 | + | 6.44430e6i | 0.890666 | + | 1.54268i | ||||
\(446\) | 1.27756e6 | − | 2.21279e6i | 0.304119 | − | 0.526749i | ||||
\(447\) | 2.37602e6 | 0.562447 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.72581e6 | 1.34036 | 0.670180 | − | 0.742199i | \(-0.266217\pi\) | ||||
0.670180 | + | 0.742199i | \(0.266217\pi\) | |||||||
\(450\) | −417003. | + | 722271.i | −0.0970752 | + | 0.168139i | ||||
\(451\) | −570981. | − | 988968.i | −0.132184 | − | 0.228950i | ||||
\(452\) | −1.58266e6 | − | 2.74125e6i | −0.364369 | − | 0.631105i | ||||
\(453\) | −1.25629e6 | + | 2.17595e6i | −0.287636 | + | 0.498200i | ||||
\(454\) | 2.10273e6 | 0.478788 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 1.61004e6 | 0.362596 | ||||||||
\(457\) | −159338. | + | 275982.i | −0.0356886 | + | 0.0618144i | −0.883318 | − | 0.468774i | \(-0.844696\pi\) |
0.847629 | + | 0.530589i | \(0.178029\pi\) | |||||||
\(458\) | 1.86537e6 | + | 3.23092e6i | 0.415529 | + | 0.719718i | ||||
\(459\) | −419119. | − | 725936.i | −0.0928551 | − | 0.160830i | ||||
\(460\) | −1.09553e6 | + | 1.89751e6i | −0.241395 | + | 0.418108i | ||||
\(461\) | 3.42470e6 | 0.750535 | 0.375267 | − | 0.926917i | \(-0.377551\pi\) | ||||
0.375267 | + | 0.926917i | \(0.377551\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 3.82945e6 | 0.830201 | 0.415101 | − | 0.909775i | \(-0.363746\pi\) | ||||
0.415101 | + | 0.909775i | \(0.363746\pi\) | |||||||
\(464\) | 97156.2 | − | 168280.i | 0.0209496 | − | 0.0362858i | ||||
\(465\) | 3.06822e6 | + | 5.31432e6i | 0.658044 | + | 1.13977i | ||||
\(466\) | 1.41559e6 | + | 2.45187e6i | 0.301975 | + | 0.523037i | ||||
\(467\) | 1.42231e6 | − | 2.46351e6i | 0.301788 | − | 0.522712i | −0.674753 | − | 0.738044i | \(-0.735750\pi\) |
0.976541 | + | 0.215332i | \(0.0690832\pi\) | |||||||
\(468\) | −452843. | −0.0955725 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | −7.42809e6 | −1.55107 | ||||||||
\(471\) | 848710. | − | 1.47001e6i | 0.176282 | − | 0.305329i | ||||
\(472\) | −843482. | − | 1.46095e6i | −0.174269 | − | 0.301843i | ||||
\(473\) | 910882. | + | 1.57769e6i | 0.187202 | + | 0.324243i | ||||
\(474\) | −1.10902e6 | + | 1.92089e6i | −0.226723 | + | 0.392695i | ||||
\(475\) | 7.19511e6 | 1.46320 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.10129e6 | 0.221619 | ||||||||
\(478\) | 1.00123e6 | − | 1.73418e6i | 0.200430 | − | 0.347155i | ||||
\(479\) | 651827. | + | 1.12900e6i | 0.129806 | + | 0.224830i | 0.923601 | − | 0.383355i | \(-0.125231\pi\) |
−0.793796 | + | 0.608185i | \(0.791898\pi\) | |||||||
\(480\) | −347869. | − | 602526.i | −0.0689148 | − | 0.119364i | ||||
\(481\) | 1.36183e6 | − | 2.35876e6i | 0.268386 | − | 0.464858i | ||||
\(482\) | −4.83287e6 | −0.947519 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.21940e6 | −0.430647 | ||||||||
\(485\) | 1.22080e6 | − | 2.11449e6i | 0.235662 | − | 0.408179i | ||||
\(486\) | −118098. | − | 204552.i | −0.0226805 | − | 0.0392837i | ||||
\(487\) | −3.11812e6 | − | 5.40074e6i | −0.595759 | − | 1.03188i | −0.993439 | − | 0.114360i | \(-0.963518\pi\) |
0.397681 | − | 0.917524i | \(-0.369815\pi\) | |||||||
\(488\) | 1.13030e6 | − | 1.95773e6i | 0.214854 | − | 0.372137i | ||||
\(489\) | 807456. | 0.152703 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −3.93928e6 | −0.737417 | −0.368709 | − | 0.929545i | \(-0.620200\pi\) | ||||
−0.368709 | + | 0.929545i | \(0.620200\pi\) | |||||||
\(492\) | 550116. | − | 952828.i | 0.102457 | − | 0.177461i | ||||
\(493\) | 436386. | + | 755843.i | 0.0808637 | + | 0.140060i | ||||
\(494\) | 1.95338e6 | + | 3.38335e6i | 0.360137 | + | 0.623776i | ||||
\(495\) | 456970. | − | 791496.i | 0.0838253 | − | 0.145190i | ||||
\(496\) | −2.31213e6 | −0.421995 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 3.13711e6 | 0.566835 | ||||||||
\(499\) | −3.98785e6 | + | 6.90717e6i | −0.716948 | + | 1.24179i | 0.245255 | + | 0.969459i | \(0.421128\pi\) |
−0.962203 | + | 0.272333i | \(0.912205\pi\) | |||||||
\(500\) | 332713. | + | 576276.i | 0.0595176 | + | 0.103087i | ||||
\(501\) | 2.38235e6 | + | 4.12635e6i | 0.424045 | + | 0.734467i | ||||
\(502\) | 195653. | − | 338882.i | 0.0346520 | − | 0.0600190i | ||||
\(503\) | 2.70777e6 | 0.477190 | 0.238595 | − | 0.971119i | \(-0.423313\pi\) | ||||
0.238595 | + | 0.971119i | \(0.423313\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −2.36641e6 | −0.412917 | ||||||||
\(506\) | 542238. | − | 939184.i | 0.0941486 | − | 0.163070i | ||||
\(507\) | 1.12141e6 | + | 1.94233e6i | 0.193751 | + | 0.335586i | ||||
\(508\) | 268138. | + | 464428.i | 0.0460998 | + | 0.0798472i | ||||
\(509\) | 1.95025e6 | − | 3.37793e6i | 0.333653 | − | 0.577904i | −0.649572 | − | 0.760300i | \(-0.725052\pi\) |
0.983225 | + | 0.182396i | \(0.0583852\pi\) | |||||||
\(510\) | 3.12497e6 | 0.532010 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 262144. | 0.0441942 | ||||||||
\(513\) | −1.01885e6 | + | 1.76470e6i | −0.170930 | + | 0.296059i | ||||
\(514\) | −2.21583e6 | − | 3.83792e6i | −0.369937 | − | 0.640750i | ||||
\(515\) | 3.74944e6 | + | 6.49422e6i | 0.622943 | + | 1.07897i | ||||
\(516\) | −877596. | + | 1.52004e6i | −0.145101 | + | 0.251322i | ||||
\(517\) | 3.67658e6 | 0.604947 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −304545. | −0.0496287 | ||||||||
\(520\) | 844103. | − | 1.46203e6i | 0.136895 | − | 0.237109i | ||||
\(521\) | 3.50032e6 | + | 6.06273e6i | 0.564954 | + | 0.978529i | 0.997054 | + | 0.0767034i | \(0.0244394\pi\) |
−0.432100 | + | 0.901826i | \(0.642227\pi\) | |||||||
\(522\) | 122963. | + | 212979.i | 0.0197515 | + | 0.0342106i | ||||
\(523\) | −1.05604e6 | + | 1.82911e6i | −0.168821 | + | 0.292406i | −0.938005 | − | 0.346620i | \(-0.887329\pi\) |
0.769185 | + | 0.639026i | \(0.220663\pi\) | |||||||
\(524\) | 172943. | 0.0275153 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.02741e6 | 0.949875 | ||||||||
\(527\) | 5.19256e6 | − | 8.99378e6i | 0.814433 | − | 1.41064i | ||||
\(528\) | 172180. | + | 298224.i | 0.0268780 | + | 0.0465541i | ||||
\(529\) | 1.57293e6 | + | 2.72439e6i | 0.244382 | + | 0.423283i | ||||
\(530\) | −2.05282e6 | + | 3.55559e6i | −0.317440 | + | 0.549822i | ||||
\(531\) | 2.13506e6 | 0.328605 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.66971e6 | 0.407048 | ||||||||
\(534\) | 1.77425e6 | − | 3.07309e6i | 0.269254 | − | 0.466361i | ||||
\(535\) | 5.48331e6 | + | 9.49737e6i | 0.828244 | + | 1.43456i | ||||
\(536\) | −1.73990e6 | − | 3.01360e6i | −0.261585 | − | 0.453078i | ||||
\(537\) | 1.11485e6 | − | 1.93097e6i | 0.166832 | − | 0.288962i | ||||
\(538\) | 8.54009e6 | 1.27206 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 880543. | 0.129947 | ||||||||
\(541\) | −2.85283e6 | + | 4.94125e6i | −0.419067 | + | 0.725845i | −0.995846 | − | 0.0910551i | \(-0.970976\pi\) |
0.576779 | + | 0.816900i | \(0.304309\pi\) | |||||||
\(542\) | 2.45720e6 | + | 4.25599e6i | 0.359287 | + | 0.622303i | ||||
\(543\) | 1.66262e6 | + | 2.87974e6i | 0.241987 | + | 0.419134i | ||||
\(544\) | −588722. | + | 1.01970e6i | −0.0852929 | + | 0.147732i | ||||
\(545\) | −1.36528e7 | −1.96894 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 2.28054e6 | 0.325888 | 0.162944 | − | 0.986635i | \(-0.447901\pi\) | ||||
0.162944 | + | 0.986635i | \(0.447901\pi\) | |||||||
\(548\) | 151456. | − | 262330.i | 0.0215445 | − | 0.0373161i | ||||
\(549\) | 1.43053e6 | + | 2.47775e6i | 0.202566 | + | 0.350855i | ||||
\(550\) | 769457. | + | 1.33274e6i | 0.108462 | + | 0.187862i | ||||
\(551\) | 1.06083e6 | − | 1.83740e6i | 0.148855 | − | 0.257825i | ||||
\(552\) | 1.04485e6 | 0.145950 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | −7.38730e6 | −1.02261 | ||||||||
\(555\) | −2.64805e6 | + | 4.58655e6i | −0.364916 | + | 0.632053i | ||||
\(556\) | −1.35118e6 | − | 2.34031e6i | −0.185364 | − | 0.321060i | ||||
\(557\) | 3.36970e6 | + | 5.83650e6i | 0.460208 | + | 0.797103i | 0.998971 | − | 0.0453541i | \(-0.0144416\pi\) |
−0.538763 | + | 0.842457i | \(0.681108\pi\) | |||||||
\(558\) | 1.46314e6 | − | 2.53424e6i | 0.198930 | − | 0.344558i | ||||
\(559\) | −4.25897e6 | −0.576468 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.54672e6 | −0.207494 | ||||||||
\(562\) | 4.56652e6 | − | 7.90944e6i | 0.609880 | − | 1.05634i | ||||
\(563\) | −4.83410e6 | − | 8.37291e6i | −0.642754 | − | 1.11328i | −0.984815 | − | 0.173605i | \(-0.944458\pi\) |
0.342061 | − | 0.939678i | \(-0.388875\pi\) | |||||||
\(564\) | 1.77111e6 | + | 3.06766e6i | 0.234449 | + | 0.406078i | ||||
\(565\) | −7.46742e6 | + | 1.29339e7i | −0.984123 | + | 1.70455i | ||||
\(566\) | −5.34770e6 | −0.701659 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.48933e6 | −0.583862 | ||||||||
\(569\) | 6.97934e6 | − | 1.20886e7i | 0.903719 | − | 1.56529i | 0.0810922 | − | 0.996707i | \(-0.474159\pi\) |
0.822627 | − | 0.568581i | \(-0.192507\pi\) | |||||||
\(570\) | −3.79829e6 | − | 6.57884e6i | −0.489668 | − | 0.848129i | ||||
\(571\) | 1.17920e6 | + | 2.04244e6i | 0.151355 | + | 0.262155i | 0.931726 | − | 0.363162i | \(-0.118303\pi\) |
−0.780371 | + | 0.625317i | \(0.784970\pi\) | |||||||
\(572\) | −417794. | + | 723641.i | −0.0533915 | + | 0.0924769i | ||||
\(573\) | −4.36702e6 | −0.555647 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 4.66933e6 | 0.588959 | ||||||||
\(576\) | −165888. | + | 287326.i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | 2.50549e6 | + | 4.33963e6i | 0.313295 | + | 0.542642i | 0.979074 | − | 0.203507i | \(-0.0652339\pi\) |
−0.665779 | + | 0.746149i | \(0.731901\pi\) | |||||||
\(578\) | 195418. | + | 338474.i | 0.0243302 | + | 0.0421411i | ||||
\(579\) | 1.48868e6 | − | 2.57846e6i | 0.184546 | − | 0.319643i | ||||
\(580\) | −916819. | −0.113165 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | −1.16432e6 | −0.142484 | ||||||||
\(583\) | 1.01606e6 | − | 1.75986e6i | 0.123807 | − | 0.214441i | ||||
\(584\) | −1.42300e6 | − | 2.46471e6i | −0.172653 | − | 0.299043i | ||||
\(585\) | 1.06832e6 | + | 1.85038e6i | 0.129066 | + | 0.223548i | ||||
\(586\) | −4.46066e6 | + | 7.72609e6i | −0.536606 | + | 0.929428i | ||||
\(587\) | −3.95106e6 | −0.473280 | −0.236640 | − | 0.971597i | \(-0.576046\pi\) | ||||
−0.236640 | + | 0.971597i | \(0.576046\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −2.52455e7 | −2.99845 | ||||||||
\(590\) | −3.97978e6 | + | 6.89318e6i | −0.470683 | + | 0.815247i | ||||
\(591\) | 728832. | + | 1.26237e6i | 0.0858339 | + | 0.148669i | ||||
\(592\) | −997746. | − | 1.72815e6i | −0.117008 | − | 0.202664i | ||||
\(593\) | −1.26840e6 | + | 2.19694e6i | −0.148122 | + | 0.256555i | −0.930533 | − | 0.366207i | \(-0.880656\pi\) |
0.782411 | + | 0.622762i | \(0.213990\pi\) | |||||||
\(594\) | −435830. | −0.0506817 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 4.22403e6 | 0.487093 | ||||||||
\(597\) | 249283. | − | 431771.i | 0.0286258 | − | 0.0495813i | ||||
\(598\) | 1.26766e6 | + | 2.19565e6i | 0.144960 | + | 0.251079i | ||||
\(599\) | −3.58857e6 | − | 6.21558e6i | −0.408652 | − | 0.707807i | 0.586087 | − | 0.810248i | \(-0.300668\pi\) |
−0.994739 | + | 0.102442i | \(0.967335\pi\) | |||||||
\(600\) | −741339. | + | 1.28404e6i | −0.0840696 | + | 0.145613i | ||||
\(601\) | −1.12527e7 | −1.27078 | −0.635392 | − | 0.772190i | \(-0.719162\pi\) | ||||
−0.635392 | + | 0.772190i | \(0.719162\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 4.40413e6 | 0.493249 | ||||||||
\(604\) | −2.23340e6 | + | 3.86836e6i | −0.249100 | + | 0.431454i | ||||
\(605\) | 5.23585e6 | + | 9.06877e6i | 0.581566 | + | 1.00730i | ||||
\(606\) | 564235. | + | 977284.i | 0.0624135 | + | 0.108103i | ||||
\(607\) | −7.01851e6 | + | 1.21564e7i | −0.773167 | + | 1.33916i | 0.162652 | + | 0.986684i | \(0.447995\pi\) |
−0.935819 | + | 0.352481i | \(0.885338\pi\) | |||||||
\(608\) | 2.86229e6 | 0.314018 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.06661e7 | −1.16059 | ||||||||
\(611\) | −4.29761e6 | + | 7.44367e6i | −0.465719 | + | 0.806648i | ||||
\(612\) | −745101. | − | 1.29055e6i | −0.0804149 | − | 0.139283i | ||||
\(613\) | 3.81436e6 | + | 6.60667e6i | 0.409988 | + | 0.710119i | 0.994888 | − | 0.100986i | \(-0.0321997\pi\) |
−0.584900 | + | 0.811105i | \(0.698866\pi\) | |||||||
\(614\) | 3.55564e6 | − | 6.15855e6i | 0.380624 | − | 0.659261i | ||||
\(615\) | −5.19119e6 | −0.553451 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.41080e6 | −0.466450 | −0.233225 | − | 0.972423i | \(-0.574928\pi\) | ||||
−0.233225 | + | 0.972423i | \(0.574928\pi\) | |||||||
\(618\) | 1.78799e6 | − | 3.09689e6i | 0.188319 | − | 0.326178i | ||||
\(619\) | −4.52178e6 | − | 7.83195e6i | −0.474332 | − | 0.821567i | 0.525236 | − | 0.850957i | \(-0.323977\pi\) |
−0.999568 | + | 0.0293895i | \(0.990644\pi\) | |||||||
\(620\) | 5.45462e6 | + | 9.44768e6i | 0.569883 | + | 0.987065i | ||||
\(621\) | −661192. | + | 1.14522e6i | −0.0688016 | + | 0.119168i | ||||
\(622\) | −5.61087e6 | −0.581506 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | −805054. | −0.0827682 | ||||||||
\(625\) | 5.59185e6 | − | 9.68538e6i | 0.572606 | − | 0.991782i | ||||
\(626\) | 2.43789e6 | + | 4.22255e6i | 0.248644 | + | 0.430664i | ||||
\(627\) | 1.87999e6 | + | 3.25624e6i | 0.190980 | + | 0.330786i | ||||
\(628\) | 1.50882e6 | − | 2.61335e6i | 0.152664 | − | 0.264423i | ||||
\(629\) | 8.96293e6 | 0.903282 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −7.33039e6 | −0.732916 | −0.366458 | − | 0.930435i | \(-0.619430\pi\) | ||||
−0.366458 | + | 0.930435i | \(0.619430\pi\) | |||||||
\(632\) | −1.97160e6 | + | 3.41491e6i | −0.196348 | + | 0.340084i | ||||
\(633\) | −2.16786e6 | − | 3.75485e6i | −0.215042 | − | 0.372463i | ||||
\(634\) | −5.36003e6 | − | 9.28384e6i | −0.529595 | − | 0.917286i | ||||
\(635\) | 1.26515e6 | − | 2.19130e6i | 0.124511 | − | 0.215659i | ||||
\(636\) | 1.95786e6 | 0.191928 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 453786. | 0.0441366 | ||||||||
\(639\) | 2.84090e6 | − | 4.92059e6i | 0.275235 | − | 0.476722i | ||||
\(640\) | −618433. | − | 1.07116e6i | −0.0596819 | − | 0.103372i | ||||
\(641\) | −1.84412e6 | − | 3.19411e6i | −0.177273 | − | 0.307047i | 0.763672 | − | 0.645604i | \(-0.223394\pi\) |
−0.940946 | + | 0.338558i | \(0.890061\pi\) | |||||||
\(642\) | 2.61482e6 | − | 4.52901e6i | 0.250383 | − | 0.433676i | ||||
\(643\) | 1.17584e7 | 1.12155 | 0.560776 | − | 0.827968i | \(-0.310503\pi\) | ||||
0.560776 | + | 0.827968i | \(0.310503\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 8.28147e6 | 0.783806 | ||||||||
\(646\) | −6.42811e6 | + | 1.11338e7i | −0.606041 | + | 1.04969i | ||||
\(647\) | −4.97025e6 | − | 8.60873e6i | −0.466786 | − | 0.808497i | 0.532494 | − | 0.846434i | \(-0.321255\pi\) |
−0.999280 | + | 0.0379368i | \(0.987921\pi\) | |||||||
\(648\) | −209952. | − | 363648.i | −0.0196419 | − | 0.0340207i | ||||
\(649\) | 1.96982e6 | − | 3.41182e6i | 0.183575 | − | 0.317962i | ||||
\(650\) | −3.59772e6 | −0.333998 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.43548e6 | 0.132244 | ||||||||
\(653\) | 513100. | − | 888714.i | 0.0470889 | − | 0.0815604i | −0.841520 | − | 0.540226i | \(-0.818339\pi\) |
0.888609 | + | 0.458665i | \(0.151672\pi\) | |||||||
\(654\) | 3.25531e6 | + | 5.63837e6i | 0.297611 | + | 0.515477i | ||||
\(655\) | −407995. | − | 706668.i | −0.0371579 | − | 0.0643594i | ||||
\(656\) | 977983. | − | 1.69392e6i | 0.0887303 | − | 0.153685i | ||||
\(657\) | 3.60197e6 | 0.325557 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 1.00207e7 | 0.898846 | 0.449423 | − | 0.893319i | \(-0.351630\pi\) | ||||
0.449423 | + | 0.893319i | \(0.351630\pi\) | |||||||
\(660\) | 812392. | − | 1.40710e6i | 0.0725948 | − | 0.125738i | ||||
\(661\) | 1.31413e6 | + | 2.27614e6i | 0.116986 | + | 0.202626i | 0.918572 | − | 0.395254i | \(-0.129343\pi\) |
−0.801586 | + | 0.597880i | \(0.796010\pi\) | |||||||
\(662\) | −285120. | − | 493843.i | −0.0252862 | − | 0.0437970i | ||||
\(663\) | 1.80799e6 | − | 3.13152e6i | 0.159739 | − | 0.276676i | ||||
\(664\) | 5.57709e6 | 0.490893 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.52554e6 | 0.220632 | ||||||||
\(667\) | 688431. | − | 1.19240e6i | 0.0599165 | − | 0.103778i | ||||
\(668\) | 4.23529e6 | + | 7.33574e6i | 0.367233 | + | 0.636067i | ||||
\(669\) | 2.87450e6 | + | 4.97879e6i | 0.248312 | + | 0.430089i | ||||
\(670\) | −8.20933e6 | + | 1.42190e7i | −0.706514 | + | 1.22372i | ||||
\(671\) | 5.27925e6 | 0.452654 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.50220e7 | −1.27847 | −0.639233 | − | 0.769013i | \(-0.720748\pi\) | ||||
−0.639233 | + | 0.769013i | \(0.720748\pi\) | |||||||
\(674\) | 2.42412e6 | − | 4.19871e6i | 0.205544 | − | 0.356013i | ||||
\(675\) | −938257. | − | 1.62511e6i | −0.0792616 | − | 0.137285i | ||||
\(676\) | 1.99361e6 | + | 3.45304e6i | 0.167793 | + | 0.290626i | ||||
\(677\) | −3.01655e6 | + | 5.22482e6i | −0.252953 | + | 0.438127i | −0.964337 | − | 0.264676i | \(-0.914735\pi\) |
0.711385 | + | 0.702803i | \(0.248068\pi\) | |||||||
\(678\) | 7.12197e6 | 0.595012 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 5.55550e6 | 0.460734 | ||||||||
\(681\) | −2.36557e6 | + | 4.09729e6i | −0.195465 | + | 0.338554i | ||||
\(682\) | −2.69980e6 | − | 4.67619e6i | −0.222265 | − | 0.384974i | ||||
\(683\) | −5.53601e6 | − | 9.58865e6i | −0.454093 | − | 0.786513i | 0.544542 | − | 0.838734i | \(-0.316703\pi\) |
−0.998636 | + | 0.0522205i | \(0.983370\pi\) | |||||||
\(684\) | −1.81129e6 | + | 3.13725e6i | −0.148029 | + | 0.256394i | ||||
\(685\) | −1.42922e6 | −0.116379 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | −8.39417e6 | −0.678557 | ||||||||
\(688\) | −1.56017e6 | + | 2.70230e6i | −0.125661 | + | 0.217652i | ||||
\(689\) | 2.37537e6 | + | 4.11426e6i | 0.190626 | + | 0.330174i | ||||
\(690\) | −2.46493e6 | − | 4.26939e6i | −0.197098 | − | 0.341384i | ||||
\(691\) | −5.27739e6 | + | 9.14071e6i | −0.420460 | + | 0.728257i | −0.995984 | − | 0.0895269i | \(-0.971464\pi\) |
0.575525 | + | 0.817784i | \(0.304798\pi\) | |||||||
\(692\) | −541413. | −0.0429797 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.38741e7 | 1.09347 | ||||||||
\(695\) | −6.37523e6 | + | 1.10422e7i | −0.500650 | + | 0.867151i | ||||
\(696\) | 218602. | + | 378629.i | 0.0171053 | + | 0.0296272i | ||||
\(697\) | 4.39270e6 | + | 7.60838e6i | 0.342491 | + | 0.593212i | ||||
\(698\) | 2.03383e6 | − | 3.52270e6i | 0.158007 | − | 0.273676i | ||||
\(699\) | −6.37014e6 | −0.493124 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −7.20675e6 | −0.553917 | −0.276958 | − | 0.960882i | \(-0.589326\pi\) | ||||
−0.276958 | + | 0.960882i | \(0.589326\pi\) | |||||||
\(702\) | 509448. | − | 882390.i | 0.0390173 | − | 0.0675800i | ||||
\(703\) | −1.08941e7 | − | 1.88692e7i | −0.831390 | − | 1.44001i | ||||
\(704\) | 306098. | + | 530177.i | 0.0232771 | + | 0.0403171i | ||||
\(705\) | 8.35660e6 | − | 1.44741e7i | 0.633223 | − | 1.09677i | ||||
\(706\) | −6.25542e6 | −0.472329 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 3.79567e6 | 0.284581 | ||||||||
\(709\) | −1.34687e6 | + | 2.33284e6i | −0.100626 | + | 0.174289i | −0.911943 | − | 0.410318i | \(-0.865418\pi\) |
0.811317 | + | 0.584607i | \(0.198751\pi\) | |||||||
\(710\) | 1.05909e7 | + | 1.83440e7i | 0.788476 | + | 1.36568i | ||||
\(711\) | −2.49530e6 | − | 4.32199e6i | −0.185118 | − | 0.320634i | ||||
\(712\) | 3.15422e6 | − | 5.46327e6i | 0.233180 | − | 0.403880i | ||||
\(713\) | −1.63833e7 | −1.20692 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 3.94253e6 | 0.288410 | ||||||||
\(716\) | 1.98195e6 | − | 3.43284e6i | 0.144481 | − | 0.250248i | ||||
\(717\) | 2.25276e6 | + | 3.90190e6i | 0.163651 | + | 0.283451i | ||||
\(718\) | −99106.3 | − | 171657.i | −0.00717447 | − | 0.0124266i | ||||
\(719\) | 3.46275e6 | − | 5.99766e6i | 0.249804 | − | 0.432673i | −0.713667 | − | 0.700485i | \(-0.752967\pi\) |
0.963471 | + | 0.267812i | \(0.0863005\pi\) | |||||||
\(720\) | 1.56541e6 | 0.112537 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 2.13482e7 | 1.52412 | ||||||||
\(723\) | 5.43698e6 | − | 9.41713e6i | 0.386823 | − | 0.669997i | ||||
\(724\) | 2.95576e6 | + | 5.11953e6i | 0.209567 | + | 0.362981i | ||||
\(725\) | 976911. | + | 1.69206e6i | 0.0690256 | + | 0.119556i | ||||
\(726\) | 2.49682e6 | − | 4.32462e6i | 0.175811 | − | 0.304513i | ||||
\(727\) | −4.11366e6 | −0.288664 | −0.144332 | − | 0.989529i | \(-0.546103\pi\) | ||||
−0.144332 | + | 0.989529i | \(0.546103\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 531441. | 0.0370370 | ||||||||
\(730\) | −6.71411e6 | + | 1.16292e7i | −0.466317 | + | 0.807685i | ||||
\(731\) | −7.00765e6 | − | 1.21376e7i | −0.485041 | − | 0.840116i | ||||
\(732\) | 2.54317e6 | + | 4.40489e6i | 0.175427 | + | 0.303849i | ||||
\(733\) | 3.96019e6 | − | 6.85925e6i | 0.272243 | − | 0.471538i | −0.697193 | − | 0.716883i | \(-0.745568\pi\) |
0.969436 | + | 0.245345i | \(0.0789013\pi\) | |||||||
\(734\) | −1.41932e7 | −0.972392 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.85750e6 | 0.126397 | ||||||||
\(737\) | 4.06326e6 | − | 7.03777e6i | 0.275554 | − | 0.477273i | ||||
\(738\) | 1.23776e6 | + | 2.14386e6i | 0.0836557 | + | 0.144896i | ||||
\(739\) | −8.02050e6 | − | 1.38919e7i | −0.540245 | − | 0.935731i | −0.998890 | − | 0.0471115i | \(-0.984998\pi\) |
0.458645 | − | 0.888620i | \(-0.348335\pi\) | |||||||
\(740\) | −4.70764e6 | + | 8.15387e6i | −0.316027 | + | 0.547374i | ||||
\(741\) | −8.79019e6 | −0.588102 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 1.53453e7 | 1.01977 | 0.509887 | − | 0.860241i | \(-0.329687\pi\) | ||||
0.509887 | + | 0.860241i | \(0.329687\pi\) | |||||||
\(744\) | 2.60114e6 | − | 4.50531e6i | 0.172279 | − | 0.298396i | ||||
\(745\) | −9.96507e6 | − | 1.72600e7i | −0.657794 | − | 1.13933i | ||||
\(746\) | 4.51147e6 | + | 7.81409e6i | 0.296805 | + | 0.514081i | ||||
\(747\) | −3.52925e6 | + | 6.11284e6i | −0.231409 | + | 0.400813i | ||||
\(748\) | −2.74973e6 | −0.179695 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | −1.49721e6 | −0.0971918 | ||||||||
\(751\) | −1.12488e7 | + | 1.94835e7i | −0.727790 | + | 1.26057i | 0.230025 | + | 0.973185i | \(0.426119\pi\) |
−0.957815 | + | 0.287385i | \(0.907214\pi\) | |||||||
\(752\) | 3.14865e6 | + | 5.45362e6i | 0.203039 | + | 0.351674i | ||||
\(753\) | 440220. | + | 762483.i | 0.0282932 | + | 0.0490053i | ||||
\(754\) | −530436. | + | 918743.i | −0.0339786 | + | 0.0588526i | ||||
\(755\) | 2.10756e7 | 1.34559 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.30349e7 | 1.46099 | 0.730494 | − | 0.682919i | \(-0.239290\pi\) | ||||
0.730494 | + | 0.682919i | \(0.239290\pi\) | |||||||
\(758\) | −8.79006e6 | + | 1.52248e7i | −0.555673 | + | 0.962453i | ||||
\(759\) | 1.22004e6 | + | 2.11316e6i | 0.0768720 | + | 0.133146i | ||||
\(760\) | −6.75252e6 | − | 1.16957e7i | −0.424065 | − | 0.734501i | ||||
\(761\) | 2.70368e6 | − | 4.68290e6i | 0.169236 | − | 0.293126i | −0.768915 | − | 0.639351i | \(-0.779203\pi\) |
0.938152 | + | 0.346225i | \(0.112537\pi\) | |||||||
\(762\) | −1.20662e6 | −0.0752806 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −7.76359e6 | −0.481204 | ||||||||
\(765\) | −3.51559e6 | + | 6.08918e6i | −0.217192 | + | 0.376188i | ||||
\(766\) | −2.45562e6 | − | 4.25325e6i | −0.151213 | − | 0.261908i | ||||
\(767\) | 4.60509e6 | + | 7.97626e6i | 0.282651 | + | 0.489565i | ||||
\(768\) | −294912. | + | 510803.i | −0.0180422 | + | 0.0312500i | ||||
\(769\) | 7.93100e6 |