Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,6,Mod(193,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 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("336.193");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.q (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: | \(53.8889634572\) |
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: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 42) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 193.2 | ||
Root | \(24.7462 + 42.8616i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 336.193 |
Dual form | 336.6.q.f.289.2 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(1\) | \(1\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 | ||||||||
\(5\) | 37.7462 | + | 65.3783i | 0.675224 | + | 1.16952i | 0.976403 | + | 0.215955i | \(0.0692864\pi\) |
−0.301179 | + | 0.953568i | \(0.597380\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −99.4847 | − | 83.1252i | −0.767381 | − | 0.641191i | ||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −40.5000 | − | 70.1481i | −0.166667 | − | 0.288675i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −74.7309 | + | 129.438i | −0.186217 | + | 0.322537i | −0.943986 | − | 0.329986i | \(-0.892956\pi\) |
0.757769 | + | 0.652523i | \(0.226289\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 349.416 | 0.573435 | 0.286717 | − | 0.958015i | \(-0.407436\pi\) | ||||
0.286717 | + | 0.958015i | \(0.407436\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | −679.431 | −0.779682 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 574.923 | − | 995.797i | 0.482489 | − | 0.835696i | −0.517309 | − | 0.855799i | \(-0.673066\pi\) |
0.999798 | + | 0.0201029i | \(0.00639938\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1397.60 | − | 2420.72i | −0.888176 | − | 1.53837i | −0.842029 | − | 0.539432i | \(-0.818639\pi\) |
−0.0461468 | − | 0.998935i | \(-0.514694\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 1095.58 | − | 401.343i | 0.542119 | − | 0.198595i | ||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 906.985 | + | 1570.94i | 0.357504 | + | 0.619214i | 0.987543 | − | 0.157349i | \(-0.0502947\pi\) |
−0.630040 | + | 0.776563i | \(0.716961\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1287.05 | + | 2229.23i | −0.411855 | + | 0.713354i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 729.000 | 0.192450 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −759.033 | −0.167597 | −0.0837984 | − | 0.996483i | \(-0.526705\pi\) | ||||
−0.0837984 | + | 0.996483i | \(0.526705\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4515.87 | − | 7821.72i | 0.843990 | − | 1.46183i | −0.0425050 | − | 0.999096i | \(-0.513534\pi\) |
0.886495 | − | 0.462738i | \(-0.153133\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | −672.578 | − | 1164.94i | −0.107512 | − | 0.186217i | ||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 1679.42 | − | 9641.80i | 0.231733 | − | 1.33042i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −3897.45 | − | 6750.57i | −0.468032 | − | 0.810655i | 0.531300 | − | 0.847183i | \(-0.321704\pi\) |
−0.999333 | + | 0.0365280i | \(0.988370\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −1572.37 | + | 2723.43i | −0.165536 | + | 0.286717i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 7640.49 | 0.709842 | 0.354921 | − | 0.934896i | \(-0.384508\pi\) | ||||
0.354921 | + | 0.934896i | \(0.384508\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −12188.8 | −1.00529 | −0.502645 | − | 0.864493i | \(-0.667640\pi\) | ||||
−0.502645 | + | 0.864493i | \(0.667640\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 3057.44 | − | 5295.64i | 0.225075 | − | 0.389841i | ||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 12299.4 | + | 21303.2i | 0.812156 | + | 1.40670i | 0.911352 | + | 0.411627i | \(0.135039\pi\) |
−0.0991964 | + | 0.995068i | \(0.531627\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2987.41 | + | 16539.4i | 0.177748 | + | 0.984076i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 5174.31 | + | 8962.17i | 0.278565 | + | 0.482489i | ||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −6798.11 | + | 11774.7i | −0.332429 | + | 0.575783i | −0.982988 | − | 0.183672i | \(-0.941201\pi\) |
0.650559 | + | 0.759456i | \(0.274535\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11283.2 | −0.502952 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 25156.8 | 1.02558 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | −13179.4 | + | 22827.4i | −0.492908 | + | 0.853742i | −0.999967 | − | 0.00816991i | \(-0.997399\pi\) |
0.507059 | + | 0.861912i | \(0.330733\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −17660.9 | − | 30589.5i | −0.607698 | − | 1.05256i | −0.991619 | − | 0.129198i | \(-0.958760\pi\) |
0.383921 | − | 0.923366i | \(-0.374573\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −1801.94 | + | 10345.2i | −0.0571991 | + | 0.328389i | ||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 13189.1 | + | 22844.2i | 0.387197 | + | 0.670645i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 27186.0 | − | 47087.5i | 0.739874 | − | 1.28150i | −0.212678 | − | 0.977122i | \(-0.568219\pi\) |
0.952552 | − | 0.304377i | \(-0.0984482\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −16325.7 | −0.412810 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 70145.7 | 1.65141 | 0.825706 | − | 0.564101i | \(-0.190777\pi\) | ||||
0.825706 | + | 0.564101i | \(0.190777\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 22234.4 | − | 38511.1i | 0.488335 | − | 0.845822i | −0.511574 | − | 0.859239i | \(-0.670938\pi\) |
0.999910 | + | 0.0134170i | \(0.00427090\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | −11583.4 | − | 20063.1i | −0.237785 | − | 0.411855i | ||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 18194.1 | − | 6665.05i | 0.349707 | − | 0.128108i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 30806.2 | + | 53357.9i | 0.555355 | + | 0.961903i | 0.997876 | + | 0.0651450i | \(0.0207510\pi\) |
−0.442521 | + | 0.896758i | \(0.645916\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −3280.50 | + | 5681.99i | −0.0555556 | + | 0.0962250i | ||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 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 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 3415.65 | − | 5916.08i | 0.0483810 | − | 0.0837984i | ||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −49284.7 | − | 85363.6i | −0.659534 | − | 1.14235i | −0.980736 | − | 0.195336i | \(-0.937420\pi\) |
0.321203 | − | 0.947010i | \(-0.395913\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −34761.5 | − | 29045.3i | −0.440043 | − | 0.367681i | ||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 40642.9 | + | 70395.5i | 0.487278 | + | 0.843990i | ||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 105508. | − | 182745.i | 1.19944 | − | 2.07748i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 32342.3 | 0.349013 | 0.174507 | − | 0.984656i | \(-0.444167\pi\) | ||||
0.174507 | + | 0.984656i | \(0.444167\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 12106.4 | 0.124144 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −15673.2 | + | 27146.8i | −0.152881 | + | 0.264798i | −0.932286 | − | 0.361723i | \(-0.882189\pi\) |
0.779404 | + | 0.626521i | \(0.215522\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 49666.5 | + | 86024.8i | 0.461286 | + | 0.798970i | 0.999025 | − | 0.0441406i | \(-0.0140549\pi\) |
−0.537740 | + | 0.843111i | \(0.680722\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 67593.0 | + | 56477.8i | 0.598313 | + | 0.499925i | ||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −72634.0 | − | 125806.i | −0.613310 | − | 1.06228i | −0.990678 | − | 0.136221i | \(-0.956504\pi\) |
0.377368 | − | 0.926063i | \(-0.376829\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 90425.4 | − | 156621.i | 0.728994 | − | 1.26265i | −0.228315 | − | 0.973587i | \(-0.573321\pi\) |
0.957309 | − | 0.289067i | \(-0.0933452\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 70154.0 | 0.540437 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 197832. | 1.45748 | 0.728738 | − | 0.684793i | \(-0.240107\pi\) | ||||
0.728738 | + | 0.684793i | \(0.240107\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −68470.4 | + | 118594.i | −0.482790 | + | 0.836217i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | −14151.3 | − | 24510.8i | −0.0955725 | − | 0.165536i | ||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −139972. | + | 51275.9i | −0.906094 | + | 0.331930i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 69356.1 | + | 120128.i | 0.430647 | + | 0.745902i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −34382.2 | + | 59551.8i | −0.204914 | + | 0.354921i | ||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 41589.2 | 0.238070 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 33517.2 | 0.184399 | 0.0921996 | − | 0.995741i | \(-0.470610\pi\) | ||||
0.0921996 | + | 0.995741i | \(0.470610\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 54849.8 | − | 95002.6i | 0.290202 | − | 0.502645i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −5404.45 | − | 9360.79i | −0.0275153 | − | 0.0476578i | 0.851940 | − | 0.523640i | \(-0.175426\pi\) |
−0.879455 | + | 0.475982i | \(0.842093\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −62182.5 | + | 357000.i | −0.304817 | + | 1.75000i | ||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 27517.0 | + | 47660.8i | 0.129947 | + | 0.225075i | ||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 9466.01 | − | 16395.6i | 0.0430889 | − | 0.0746322i | −0.843677 | − | 0.536852i | \(-0.819613\pi\) |
0.886766 | + | 0.462220i | \(0.152947\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 168897. | 0.741457 | 0.370729 | − | 0.928741i | \(-0.379108\pi\) | ||||
0.370729 | + | 0.928741i | \(0.379108\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −221389. | −0.937797 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −26112.1 | + | 45227.6i | −0.106783 | + | 0.184954i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −28650.6 | − | 49624.3i | −0.113165 | − | 0.196008i | ||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −142355. | − | 51142.6i | −0.543349 | − | 0.195204i | ||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −132001. | − | 228633.i | −0.487093 | − | 0.843670i | 0.512797 | − | 0.858510i | \(-0.328609\pi\) |
−0.999890 | + | 0.0148402i | \(0.995276\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 139587. | − | 241772.i | 0.498200 | − | 0.862908i | −0.501798 | − | 0.864985i | \(-0.667328\pi\) |
0.999998 | + | 0.00207707i | \(0.000661153\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −93137.6 | −0.321660 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 681828. | 2.27953 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −94301.2 | + | 163334.i | −0.305329 | + | 0.528845i | −0.977334 | − | 0.211701i | \(-0.932100\pi\) |
0.672006 | + | 0.740546i | \(0.265433\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −61183.0 | − | 105972.i | −0.191928 | − | 0.332429i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 40353.9 | − | 231678.i | 0.122693 | − | 0.704402i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 44858.7 | + | 77697.5i | 0.132244 | + | 0.229054i | 0.924541 | − | 0.381081i | \(-0.124448\pi\) |
−0.792297 | + | 0.610136i | \(0.791115\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 50774.5 | − | 87944.0i | 0.145190 | − | 0.251476i | ||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −529411. | −1.46893 | −0.734467 | − | 0.678645i | \(-0.762568\pi\) | ||||
−0.734467 | + | 0.678645i | \(0.762568\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −249202. | −0.671172 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −113206. | + | 196078.i | −0.296059 | + | 0.512789i | ||||
\(172\) | 0 | 0 | ||||||||
\(173\) | −16919.2 | − | 29304.8i | −0.0429797 | − | 0.0744430i | 0.843735 | − | 0.536759i | \(-0.180352\pi\) |
−0.886715 | + | 0.462316i | \(0.847018\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 313347. | − | 114788.i | 0.773446 | − | 0.283337i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | −118615. | − | 205447.i | −0.284581 | − | 0.492908i | ||||
\(178\) | 0 | 0 | ||||||||
\(179\) | −123872. | + | 214552.i | −0.288962 | + | 0.500496i | −0.973562 | − | 0.228422i | \(-0.926643\pi\) |
0.684601 | + | 0.728918i | \(0.259977\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 369470. | 0.838268 | 0.419134 | − | 0.907924i | \(-0.362334\pi\) | ||||
0.419134 | + | 0.907924i | \(0.362334\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 317896. | 0.701709 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 294227. | − | 509617.i | 0.632053 | − | 1.09475i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 85929.1 | + | 148833.i | 0.179695 | + | 0.311241i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −72524.3 | − | 60598.3i | −0.147683 | − | 0.123397i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −242612. | − | 420217.i | −0.481204 | − | 0.833470i | 0.518563 | − | 0.855039i | \(-0.326467\pi\) |
−0.999767 | + | 0.0215693i | \(0.993134\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 165409. | − | 286496.i | 0.319643 | − | 0.553637i | −0.660771 | − | 0.750588i | \(-0.729770\pi\) |
0.980413 | + | 0.196950i | \(0.0631038\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | −237404. | −0.447097 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −161963. | −0.297337 | −0.148669 | − | 0.988887i | \(-0.547499\pi\) | ||||
−0.148669 | + | 0.988887i | \(0.547499\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 27698.1 | − | 47974.5i | 0.0495813 | − | 0.0858773i | −0.840170 | − | 0.542324i | \(-0.817545\pi\) |
0.889751 | + | 0.456446i | \(0.150878\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 244674. | + | 423787.i | 0.427166 | + | 0.739874i | ||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 75512.2 | + | 63094.8i | 0.128611 | + | 0.107462i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 288399. | + | 499522.i | 0.479303 | + | 0.830176i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 73465.8 | − | 127246.i | 0.119168 | − | 0.206405i | ||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 417776. | 0.661572 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −481748. | −0.744926 | −0.372463 | − | 0.928047i | \(-0.621487\pi\) | ||||
−0.372463 | + | 0.928047i | \(0.621487\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | −315656. | + | 546732.i | −0.476722 | + | 0.825706i | ||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −460082. | − | 796885.i | −0.678795 | − | 1.17571i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.09944e6 | + | 402759.i | −1.58498 | + | 0.580625i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 200110. | + | 346600.i | 0.281941 | + | 0.488335i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 200887. | − | 347947.i | 0.276676 | − | 0.479217i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −638779. | −0.860178 | −0.430089 | − | 0.902787i | \(-0.641518\pi\) | ||||
−0.430089 | + | 0.902787i | \(0.641518\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 208502. | 0.274570 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −262841. | + | 455254.i | −0.338554 | + | 0.586394i | −0.984161 | − | 0.177277i | \(-0.943271\pi\) |
0.645607 | + | 0.763670i | \(0.276605\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −466343. | − | 807730.i | −0.587647 | − | 1.01784i | −0.994540 | − | 0.104359i | \(-0.966721\pi\) |
0.406892 | − | 0.913476i | \(-0.366612\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −29924.6 | + | 171802.i | −0.0368976 | + | 0.211835i | ||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 353896. | + | 612967.i | 0.427058 | + | 0.739685i | 0.996610 | − | 0.0822696i | \(-0.0262168\pi\) |
−0.569553 | + | 0.821955i | \(0.692884\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −928511. | + | 1.60823e6i | −1.09677 | + | 1.89967i | ||||
\(236\) | 0 | 0 | ||||||||
\(237\) | −554512. | −0.641269 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 500614. | 0.566902 | 0.283451 | − | 0.958987i | \(-0.408521\pi\) | ||||
0.283451 | + | 0.958987i | \(0.408521\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −604109. | + | 1.04635e6i | −0.669997 | + | 1.16047i | 0.307907 | + | 0.951416i | \(0.400371\pi\) |
−0.977904 | + | 0.209052i | \(0.932962\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | −29524.5 | − | 51137.9i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 0 | 0 | ||||||||
\(245\) | −968552. | + | 819609.i | −1.03088 | + | 0.872352i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −488344. | − | 845836.i | −0.509311 | − | 0.882153i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | −392139. | + | 679204.i | −0.400813 | + | 0.694228i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −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 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | −390621. | + | 676575.i | −0.376188 | + | 0.651577i | ||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 553956. | + | 959481.i | 0.523170 | + | 0.906157i | 0.999636 | + | 0.0269643i | \(0.00858403\pi\) |
−0.476466 | + | 0.879193i | \(0.658083\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −173406. | + | 995555.i | −0.160626 | + | 0.922180i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 30740.8 | + | 53244.7i | 0.0279328 | + | 0.0483810i | ||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 753427. | − | 1.30497e6i | 0.671663 | − | 1.16336i | −0.305769 | − | 0.952106i | \(-0.598913\pi\) |
0.977432 | − | 0.211249i | \(-0.0677532\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −1.02641e6 | −0.897856 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 887125. | 0.761564 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | 1.06751e6 | − | 1.84898e6i | 0.899481 | − | 1.55795i | 0.0713221 | − | 0.997453i | \(-0.477278\pi\) |
0.828159 | − | 0.560493i | \(-0.189388\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 614299. | + | 1.06400e6i | 0.508108 | + | 0.880070i | 0.999956 | + | 0.00938828i | \(0.00298843\pi\) |
−0.491847 | + | 0.870681i | \(0.663678\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 382812. | − | 140236.i | 0.310870 | − | 0.113881i | ||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −192364. | − | 333185.i | −0.153388 | − | 0.265677i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 923412. | − | 1.59940e6i | 0.723097 | − | 1.25244i | −0.236656 | − | 0.971593i | \(-0.576051\pi\) |
0.959753 | − | 0.280847i | \(-0.0906152\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | −731571. | −0.562660 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −2.28326e6 | −1.72500 | −0.862500 | − | 0.506056i | \(-0.831103\pi\) | ||||
−0.862500 | + | 0.506056i | \(0.831103\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 668463. | − | 1.15781e6i | 0.496148 | − | 0.859354i | −0.503842 | − | 0.863796i | \(-0.668081\pi\) |
0.999990 | + | 0.00444218i | \(0.00141400\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 949573. | + | 1.64471e6i | 0.692495 | + | 1.19944i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −760112. | − | 635118.i | −0.544720 | − | 0.455145i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 48854.5 | + | 84618.5i | 0.0344081 | + | 0.0595965i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −145541. | + | 252084.i | −0.100751 | + | 0.174507i | ||||
\(292\) | 0 | 0 | ||||||||
\(293\) | −2.23033e6 | −1.51775 | −0.758875 | − | 0.651236i | \(-0.774251\pi\) | ||||
−0.758875 | + | 0.651236i | \(0.774251\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.98989e6 | −1.33129 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | −54478.8 | + | 94360.1i | −0.0358374 | + | 0.0620722i | ||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 316915. | + | 548913.i | 0.205005 | + | 0.355079i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.21260e6 | + | 1.01320e6i | 0.771440 | + | 0.644583i | ||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −141059. | − | 244321.i | −0.0882661 | − | 0.152881i | ||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 1.33326e6 | − | 2.30928e6i | 0.820664 | − | 1.42143i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −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 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 701358. | − | 1.21479e6i | 0.411187 | − | 0.712196i | −0.583833 | − | 0.811874i | \(-0.698448\pi\) |
0.995020 | + | 0.0996776i | \(0.0317811\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −609472. | − | 1.05564e6i | −0.351636 | − | 0.609051i | 0.634900 | − | 0.772594i | \(-0.281041\pi\) |
−0.986536 | + | 0.163543i | \(0.947708\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | −744370. | + | 272685.i | −0.422681 | + | 0.154841i | ||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −1.34001e6 | − | 2.32096e6i | −0.748961 | − | 1.29724i | −0.948321 | − | 0.317312i | \(-0.897220\pi\) |
0.199361 | − | 0.979926i | \(-0.436113\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 56723.2 | − | 98247.5i | 0.0312093 | − | 0.0540561i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 1.30741e6 | 0.708190 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | −3.21405e6 | −1.71414 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −449715. | + | 778929.i | −0.236172 | + | 0.409062i | ||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 813828. | + | 1.40959e6i | 0.420885 | + | 0.728994i | ||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 547229. | − | 3.14173e6i | 0.278727 | − | 1.60022i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 71280.1 | + | 123461.i | 0.0357601 | + | 0.0619383i | 0.883352 | − | 0.468711i | \(-0.155281\pi\) |
−0.847591 | + | 0.530649i | \(0.821948\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | −315693. | + | 546796.i | −0.156011 | + | 0.270218i | ||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 4.10466e6 | 1.99832 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −1.21206e6 | −0.581367 | −0.290683 | − | 0.956819i | \(-0.593883\pi\) | ||||
−0.290683 | + | 0.956819i | \(0.593883\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | −890246. | + | 1.54195e6i | −0.420737 | + | 0.728738i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 674950. | + | 1.16905e6i | 0.314330 | + | 0.544435i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 1.07764e6 | − | 1.89374e6i | 0.494580 | − | 0.869132i | ||||
\(344\) | 0 | 0 | ||||||||
\(345\) | −616234. | − | 1.06735e6i | −0.278739 | − | 0.482790i | ||||
\(346\) | 0 | 0 | ||||||||
\(347\) | 1.73426e6 | − | 3.00383e6i | 0.773199 | − | 1.33922i | −0.162602 | − | 0.986692i | \(-0.551989\pi\) |
0.935801 | − | 0.352529i | \(-0.114678\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 1.01692e6 | 0.446911 | 0.223456 | − | 0.974714i | \(-0.428266\pi\) | ||||
0.223456 | + | 0.974714i | \(0.428266\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 254724. | 0.110358 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −781927. | + | 1.35434e6i | −0.333987 | + | 0.578483i | −0.983290 | − | 0.182048i | \(-0.941728\pi\) |
0.649303 | + | 0.760530i | \(0.275061\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 2.64773e6 | + | 4.58601e6i | 1.11507 | + | 1.93136i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 230217. | − | 1.32171e6i | 0.0956021 | − | 0.548867i | ||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 24776.6 | + | 42914.3i | 0.0101462 | + | 0.0175738i | 0.871054 | − | 0.491187i | \(-0.163437\pi\) |
−0.860908 | + | 0.508761i | \(0.830104\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.66853e6 | + | 4.62202e6i | −1.07771 | + | 1.86666i | ||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −1.24841e6 | −0.497268 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 3.35705e6 | 1.31894 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 1.77416e6 | − | 3.07293e6i | 0.687585 | − | 1.19093i | −0.285032 | − | 0.958518i | \(-0.592004\pi\) |
0.972617 | − | 0.232414i | \(-0.0746626\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | −309440. | − | 535966.i | −0.118307 | − | 0.204914i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 1.65508e6 | − | 606306.i | 0.624287 | − | 0.228695i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.12787e6 | + | 1.95352e6i | 0.419745 | + | 0.727020i | 0.995914 | − | 0.0903112i | \(-0.0287862\pi\) |
−0.576169 | + | 0.817331i | \(0.695453\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −187151. | + | 324155.i | −0.0687250 | + | 0.119035i | ||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −265218. | −0.0961059 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −4.39503e6 | −1.57168 | −0.785840 | − | 0.618430i | \(-0.787769\pi\) | ||||
−0.785840 | + | 0.618430i | \(0.787769\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −150828. | + | 261241.i | −0.0532315 | + | 0.0921996i | ||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −613904. | − | 1.06331e6i | −0.213847 | − | 0.370394i | 0.739068 | − | 0.673631i | \(-0.235266\pi\) |
−0.952915 | + | 0.303237i | \(0.901933\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 1.12251e6 | + | 937919.i | 0.385956 | + | 0.322488i | ||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 493648. | + | 855023.i | 0.167548 | + | 0.290202i | ||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −1.02712e6 | + | 1.77903e6i | −0.344150 | + | 0.596086i | −0.985199 | − | 0.171415i | \(-0.945166\pi\) |
0.641049 | + | 0.767500i | \(0.278500\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 2.08579e6 | 0.689967 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 97280.2 | 0.0317719 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | −2.32563e6 | + | 4.02812e6i | −0.749978 | + | 1.29900i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 1.90184e6 | + | 3.29408e6i | 0.605615 | + | 1.04896i | 0.991954 | + | 0.126599i | \(0.0404062\pi\) |
−0.386339 | + | 0.922357i | \(0.626260\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −2.50272e6 | − | 2.09116e6i | −0.787009 | − | 0.657591i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −592622. | − | 1.02645e6i | −0.184042 | − | 0.318770i | 0.759211 | − | 0.650844i | \(-0.225585\pi\) |
−0.943253 | + | 0.332074i | \(0.892252\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 1.57792e6 | − | 2.73303e6i | 0.483974 | − | 0.838267i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | −495305. | −0.150050 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 1.16504e6 | 0.348621 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 2.15197e6 | − | 3.72731e6i | 0.636102 | − | 1.10176i | −0.350178 | − | 0.936683i | \(-0.613879\pi\) |
0.986280 | − | 0.165079i | \(-0.0527878\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 85194.1 | + | 147560.i | 0.0248774 | + | 0.0430889i | ||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 3.20868e6 | − | 1.17544e6i | 0.925660 | − | 0.339097i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 3.28928e6 | + | 5.69719e6i | 0.937519 | + | 1.62383i | ||||
\(416\) | 0 | 0 | ||||||||
\(417\) | −760038. | + | 1.31643e6i | −0.214040 | + | 0.370729i | ||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 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 | \(0.480582\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 996252. | − | 1.72556e6i | 0.270719 | − | 0.468898i | ||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 1.47991e6 | + | 2.56327e6i | 0.397431 | + | 0.688371i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −785774. | + | 4.51125e6i | −0.208559 | + | 1.19737i | ||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −235009. | − | 407048.i | −0.0616512 | − | 0.106783i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 2.31655e6 | − | 4.01239e6i | 0.600688 | − | 1.04042i | −0.392029 | − | 0.919953i | \(-0.628227\pi\) |
0.992717 | − | 0.120469i | \(-0.0384399\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 6.57955e6 | 1.68646 | 0.843231 | − | 0.537552i | \(-0.180651\pi\) | ||||
0.843231 | + | 0.537552i | \(0.180651\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 515711. | 0.130672 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 2.53520e6 | − | 4.39110e6i | 0.635052 | − | 1.09994i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −910348. | − | 1.57677e6i | −0.225448 | − | 0.390487i | 0.731006 | − | 0.682371i | \(-0.239051\pi\) |
−0.956454 | + | 0.291884i | \(0.905718\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 1.03921e6 | − | 879405.i | 0.254454 | − | 0.215324i | ||||
\(442\) | 0 | 0 | ||||||||
\(443\) | −1.03495e6 | − | 1.79259e6i | −0.250559 | − | 0.433982i | 0.713121 | − | 0.701041i | \(-0.247281\pi\) |
−0.963680 | + | 0.267060i | \(0.913948\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.72062e6 | − | 6.44430e6i | 0.890666 | − | 1.54268i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 2.37602e6 | 0.562447 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 5.72581e6 | 1.34036 | 0.670180 | − | 0.742199i | \(-0.266217\pi\) | ||||
0.670180 | + | 0.742199i | \(0.266217\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −570981. | + | 988968.i | −0.132184 | + | 0.228950i | ||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 1.25629e6 | + | 2.17595e6i | 0.287636 | + | 0.498200i | ||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 586814. | − | 3.36900e6i | 0.132884 | − | 0.762908i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −159338. | − | 275982.i | −0.0356886 | − | 0.0618144i | 0.847629 | − | 0.530589i | \(-0.178029\pi\) |
−0.883318 | + | 0.468774i | \(0.844696\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 419119. | − | 725936.i | 0.0928551 | − | 0.160830i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3.42470e6 | −0.750535 | −0.375267 | − | 0.926917i | \(-0.622449\pi\) | ||||
−0.375267 | + | 0.926917i | \(0.622449\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −3.82945e6 | −0.830201 | −0.415101 | − | 0.909775i | \(-0.636254\pi\) | ||||
−0.415101 | + | 0.909775i | \(0.636254\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | −3.06822e6 | + | 5.31432e6i | −0.658044 | + | 1.13977i | ||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 1.42231e6 | + | 2.46351e6i | 0.301788 | + | 0.522712i | 0.976541 | − | 0.215332i | \(-0.0690832\pi\) |
−0.674753 | + | 0.738044i | \(0.735750\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.61874e6 | + | 2.42464e6i | −1.38945 | + | 0.508998i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −848710. | − | 1.47001e6i | −0.176282 | − | 0.305329i | ||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 910882. | − | 1.57769e6i | 0.187202 | − | 0.324243i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 7.19511e6 | 1.46320 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 1.10129e6 | 0.221619 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 651827. | − | 1.12900e6i | 0.129806 | − | 0.224830i | −0.793796 | − | 0.608185i | \(-0.791898\pi\) |
0.923601 | + | 0.383355i | \(0.125231\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.36183e6 | − | 2.35876e6i | −0.268386 | − | 0.464858i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 1.62416e6 | + | 1.35708e6i | 0.316782 | + | 0.264690i | ||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 1.22080e6 | + | 2.11449e6i | 0.235662 | + | 0.408179i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 3.11812e6 | − | 5.40074e6i | 0.595759 | − | 1.03188i | −0.397681 | − | 0.917524i | \(-0.630185\pi\) |
0.993439 | − | 0.114360i | \(-0.0364818\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −807456. | −0.152703 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 3.93928e6 | 0.737417 | 0.368709 | − | 0.929545i | \(-0.379800\pi\) | ||||
0.368709 | + | 0.929545i | \(0.379800\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −436386. | + | 755843.i | −0.0808637 | + | 0.140060i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 456970. | + | 791496.i | 0.0838253 | + | 0.145190i | ||||
\(496\) | 0 | 0 | ||||||||
\(497\) | −6.97843e6 | − | 5.83088e6i | −1.26726 | − | 1.05887i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 3.98785e6 | + | 6.90717e6i | 0.716948 | + | 1.24179i | 0.962203 | + | 0.272333i | \(0.0877951\pi\) |
−0.245255 | + | 0.969459i | \(0.578872\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 2.38235e6 | − | 4.12635e6i | 0.424045 | − | 0.734467i | ||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 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 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 1.12141e6 | − | 1.94233e6i | 0.193751 | − | 0.335586i | ||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −1.95025e6 | − | 3.37793e6i | −0.333653 | − | 0.577904i | 0.649572 | − | 0.760300i | \(-0.274948\pi\) |
−0.983225 | + | 0.182396i | \(0.941615\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.41323e6 | + | 1.98303e6i | −0.917073 | + | 0.335951i | ||||
\(512\) | 0 | 0 | ||||||||
\(513\) | −1.01885e6 | − | 1.76470e6i | −0.170930 | − | 0.296059i | ||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −3.74944e6 | + | 6.49422e6i | −0.622943 | + | 1.07897i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.67658e6 | −0.604947 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 304545. | 0.0496287 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −3.50032e6 | + | 6.06273e6i | −0.564954 | + | 0.978529i | 0.432100 | + | 0.901826i | \(0.357773\pi\) |
−0.997054 | + | 0.0767034i | \(0.975561\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −1.05604e6 | − | 1.82911e6i | −0.168821 | − | 0.292406i | 0.769185 | − | 0.639026i | \(-0.220663\pi\) |
−0.938005 | + | 0.346620i | \(0.887329\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | −515374. | + | 2.95884e6i | −0.0816064 | + | 0.468515i | ||||
\(526\) | 0 | 0 | ||||||||
\(527\) | −5.19256e6 | − | 8.99378e6i | −0.814433 | − | 1.41064i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.57293e6 | − | 2.72439e6i | 0.244382 | − | 0.423283i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 2.13506e6 | 0.328605 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 2.66971e6 | 0.407048 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.48331e6 | − | 9.49737e6i | 0.828244 | − | 1.43456i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | −1.11485e6 | − | 1.93097e6i | −0.166832 | − | 0.288962i | ||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −2.36407e6 | − | 849318.i | −0.350500 | − | 0.125921i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −2.85283e6 | − | 4.94125e6i | −0.419067 | − | 0.725845i | 0.576779 | − | 0.816900i | \(-0.304309\pi\) |
−0.995846 | + | 0.0910551i | \(0.970976\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −1.66262e6 | + | 2.87974e6i | −0.241987 | + | 0.419134i | ||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1.36528e7 | 1.96894 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.28054e6 | −0.325888 | −0.162944 | − | 0.986635i | \(-0.552099\pi\) | ||||
−0.162944 | + | 0.986635i | \(0.552099\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −1.43053e6 | + | 2.47775e6i | −0.202566 | + | 0.350855i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 1.06083e6 | + | 1.83740e6i | 0.148855 | + | 0.257825i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.37064e6 | − | 7.86907e6i | 0.190595 | − | 1.09424i | ||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 2.64805e6 | + | 4.58655e6i | 0.364916 | + | 0.632053i | ||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 3.36970e6 | − | 5.83650e6i | 0.460208 | − | 0.797103i | −0.538763 | − | 0.842457i | \(-0.681108\pi\) |
0.998971 | + | 0.0453541i | \(0.0144416\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −4.25897e6 | −0.576468 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −1.54672e6 | −0.207494 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −4.83410e6 | + | 8.37291e6i | −0.642754 | + | 1.11328i | 0.342061 | + | 0.939678i | \(0.388875\pi\) |
−0.984815 | + | 0.173605i | \(0.944458\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 7.46742e6 | + | 1.29339e7i | 0.984123 | + | 1.70455i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 798676. | − | 292579.i | 0.104331 | − | 0.0382196i | ||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 6.97934e6 | + | 1.20886e7i | 0.903719 | + | 1.56529i | 0.822627 | + | 0.568581i | \(0.192507\pi\) |
0.0810922 | + | 0.996707i | \(0.474159\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −1.17920e6 | + | 2.04244e6i | −0.151355 | + | 0.262155i | −0.931726 | − | 0.363162i | \(-0.881697\pi\) |
0.780371 | + | 0.625317i | \(0.215030\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 4.36702e6 | 0.555647 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −4.66933e6 | −0.588959 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −2.50549e6 | + | 4.33963e6i | −0.313295 | + | 0.542642i | −0.979074 | − | 0.203507i | \(-0.934766\pi\) |
0.665779 | + | 0.746149i | \(0.268099\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 1.48868e6 | + | 2.57846e6i | 0.184546 | + | 0.319643i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −8.66929e6 | − | 7.24369e6i | −1.06547 | − | 0.890266i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1.01606e6 | − | 1.75986e6i | −0.123807 | − | 0.214441i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 1.06832e6 | − | 1.85038e6i | 0.129066 | − | 0.223548i | ||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −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 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 728832. | − | 1.26237e6i | 0.0858339 | − | 0.148669i | ||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 1.26840e6 | + | 2.19694e6i | 0.148122 | + | 0.256555i | 0.930533 | − | 0.366207i | \(-0.119344\pi\) |
−0.782411 | + | 0.622762i | \(0.786010\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −8.63573e6 | − | 7.21565e6i | −1.00002 | − | 0.835571i | ||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 249283. | + | 431771.i | 0.0286258 | + | 0.0495813i | ||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 3.58857e6 | − | 6.21558e6i | 0.408652 | − | 0.707807i | −0.586087 | − | 0.810248i | \(-0.699332\pi\) |
0.994739 | + | 0.102442i | \(0.0326655\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 1.12527e7 | 1.27078 | 0.635392 | − | 0.772190i | \(-0.280838\pi\) | ||||
0.635392 | + | 0.772190i | \(0.280838\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −4.40413e6 | −0.493249 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | −5.23585e6 | + | 9.06877e6i | −0.581566 | + | 1.00730i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | −7.01851e6 | − | 1.21564e7i | −0.773167 | − | 1.33916i | −0.935819 | − | 0.352481i | \(-0.885338\pi\) |
0.162652 | − | 0.986684i | \(-0.447995\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −831580. | + | 304633.i | −0.0908575 | + | 0.0332838i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 4.29761e6 | + | 7.44367e6i | 0.465719 | + | 0.806648i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 3.81436e6 | − | 6.60667e6i | 0.409988 | − | 0.710119i | −0.584900 | − | 0.811105i | \(-0.698866\pi\) |
0.994888 | + | 0.100986i | \(0.0321997\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | −5.19119e6 | −0.553451 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −4.41080e6 | −0.466450 | −0.233225 | − | 0.972423i | \(-0.574928\pi\) | ||||
−0.233225 | + | 0.972423i | \(0.574928\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −4.52178e6 | + | 7.83195e6i | −0.474332 | + | 0.821567i | −0.999568 | − | 0.0293895i | \(-0.990644\pi\) |
0.525236 | + | 0.850957i | \(0.323977\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 661192. | + | 1.14522e6i | 0.0688016 | + | 0.119168i | ||||
\(622\) | 0 | 0 | ||||||||
\(623\) | −2.19279e6 | + | 1.25892e7i | −0.226348 | + | 1.29950i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.59185e6 | + | 9.68538e6i | 0.572606 | + | 0.991782i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −1.87999e6 | + | 3.25624e6i | −0.190980 | + | 0.330786i | ||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −8.96293e6 | −0.903282 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.33039e6 | 0.732916 | 0.366458 | − | 0.930435i | \(-0.380570\pi\) | ||||
0.366458 | + | 0.930435i | \(0.380570\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 2.16786e6 | − | 3.75485e6i | 0.215042 | − | 0.372463i | ||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 1.26515e6 | + | 2.19130e6i | 0.124511 | + | 0.215659i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.04385e6 | + | 5.77912e6i | 0.101927 | + | 0.564304i | ||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −2.84090e6 | − | 4.92059e6i | −0.275235 | − | 0.476722i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.84412e6 | + | 3.19411e6i | −0.177273 | + | 0.307047i | −0.940946 | − | 0.338558i | \(-0.890061\pi\) |
0.763672 | + | 0.645604i | \(0.223394\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 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 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −4.97025e6 | + | 8.60873e6i | −0.466786 | + | 0.808497i | −0.999280 | − | 0.0379368i | \(-0.987921\pi\) |
0.532494 | + | 0.846434i | \(0.321255\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −1.96982e6 | − | 3.41182e6i | −0.183575 | − | 0.317962i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 1.80830e6 | − | 1.03817e7i | 0.167231 | − | 0.960101i | ||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 513100. | + | 888714.i | 0.0470889 | + | 0.0815604i | 0.888609 | − | 0.458665i | \(-0.151672\pi\) |
−0.841520 | + | 0.540226i | \(0.818339\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 407995. | − | 706668.i | 0.0371579 | − | 0.0643594i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | −3.60197e6 | −0.325557 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −1.00207e7 | −0.898846 | −0.449423 | − | 0.893319i | \(-0.648370\pi\) | ||||
−0.449423 | + | 0.893319i | \(0.648370\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −1.31413e6 | + | 2.27614e6i | −0.116986 | + | 0.202626i | −0.918572 | − | 0.395254i | \(-0.870657\pi\) |
0.801586 | + | 0.597880i | \(0.203990\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 1.80799e6 | + | 3.13152e6i | 0.159739 | + | 0.276676i | ||||
\(664\) | 0 | 0 | ||||||||
\(665\) | −2.56872e7 | + | 9.40999e6i | −2.25249 | + | 0.825154i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −688431. | − | 1.19240e6i | −0.0599165 | − | 0.103778i | ||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 2.87450e6 | − | 4.97879e6i | 0.248312 | − | 0.430089i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 5.27925e6 | 0.452654 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −1.50220e7 | −1.27847 | −0.639233 | − | 0.769013i | \(-0.720748\pi\) | ||||
−0.639233 | + | 0.769013i | \(0.720748\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | −938257. | + | 1.62511e6i | −0.0792616 | + | 0.137285i | ||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 3.01655e6 | + | 5.22482e6i | 0.252953 | + | 0.438127i | 0.964337 | − | 0.264676i | \(-0.0852650\pi\) |
−0.711385 | + | 0.702803i | \(0.751932\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −3.21757e6 | − | 2.68846e6i | −0.267826 | − | 0.223784i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −2.36557e6 | − | 4.09729e6i | −0.195465 | − | 0.338554i | ||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 5.53601e6 | − | 9.58865e6i | 0.454093 | − | 0.786513i | −0.544542 | − | 0.838734i | \(-0.683297\pi\) |
0.998636 | + | 0.0522205i | \(0.0166299\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 1.42922e6 | 0.116379 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 8.39417e6 | 0.678557 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −2.37537e6 | + | 4.11426e6i | −0.190626 | + | 0.330174i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −5.27739e6 | − | 9.14071e6i | −0.420460 | − | 0.728257i | 0.575525 | − | 0.817784i | \(-0.304798\pi\) |
−0.995984 | + | 0.0895269i | \(0.971464\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | −1.20440e6 | − | 1.00635e6i | −0.0952661 | − | 0.0796003i | ||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 6.37523e6 | + | 1.10422e7i | 0.500650 | + | 0.867151i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.39270e6 | − | 7.60838e6i | 0.342491 | − | 0.593212i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −6.37014e6 | −0.493124 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −7.20675e6 | −0.553917 | −0.276958 | − | 0.960882i | \(-0.589326\pi\) | ||||
−0.276958 | + | 0.960882i | \(0.589326\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −1.08941e7 | + | 1.88692e7i | −0.831390 | + | 1.44001i | ||||
\(704\) | 0 | 0 | ||||||||
\(705\) | −8.35660e6 | − | 1.44741e7i | −0.633223 | − | 1.09677i | ||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 3.81583e6 | − | 1.39785e6i | 0.287104 | − | 0.105175i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.34687e6 | − | 2.33284e6i | −0.100626 | − | 0.174289i | 0.811317 | − | 0.584607i | \(-0.198751\pi\) |
−0.911943 | + | 0.410318i | \(0.865418\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 2.49530e6 | − | 4.32199e6i | 0.185118 | − | 0.320634i | ||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 1.63833e7 | 1.20692 | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −3.94253e6 | −0.288410 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | −2.25276e6 | + | 3.90190e6i | −0.163651 | + | 0.283451i | ||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 3.46275e6 | + | 5.99766e6i | 0.249804 | + | 0.432673i | 0.963471 | − | 0.267812i | \(-0.0863005\pi\) |
−0.713667 | + | 0.700485i | \(0.752967\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 2.20978e6 | − | 1.26867e7i | 0.158311 | − | 0.908887i | ||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −5.43698e6 | − | 9.41713e6i | −0.386823 | − | 0.669997i | ||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 976911. | − | 1.69206e6i | 0.0690256 | − | 0.119556i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −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 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −7.00765e6 | + | 1.21376e7i | −0.485041 | + | 0.840116i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −3.96019e6 | − | 6.85925e6i | −0.272243 | − | 0.471538i | 0.697193 | − | 0.716883i | \(-0.254432\pi\) |
−0.969436 | + | 0.245345i | \(0.921099\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | −2.02974e6 | − | 1.12374e7i | −0.138587 | − | 0.767266i | ||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 4.06326e6 | + | 7.03777e6i | 0.275554 | + | 0.477273i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 8.02050e6 | − | 1.38919e7i | 0.540245 | − | 0.935731i | −0.458645 | − | 0.888620i | \(-0.651665\pi\) |
0.998890 | − | 0.0471115i | \(-0.0150016\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 8.79019e6 | 0.588102 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1.53453e7 | −1.01977 | −0.509887 | − | 0.860241i | \(-0.670313\pi\) | ||||
−0.509887 | + | 0.860241i | \(0.670313\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.96507e6 | − | 1.72600e7i | 0.657794 | − | 1.13933i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −3.52925e6 | − | 6.11284e6i | −0.231409 | − | 0.400813i | ||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −3.23166e6 | + | 1.85535e7i | −0.210485 | + | 1.20843i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1.12488e7 | + | 1.94835e7i | 0.727790 | + | 1.26057i | 0.957815 | + | 0.287385i | \(0.0927860\pi\) |
−0.230025 | + | 0.973185i | \(0.573881\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 440220. | − | 762483.i | 0.0282932 | − | 0.0490053i | ||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 2.10756e7 | 1.34559 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.30349e7 | 1.46099 | 0.730494 | − | 0.682919i | \(-0.239290\pi\) | ||||
0.730494 | + | 0.682919i | \(0.239290\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 1.22004e6 | − | 2.11316e6i | 0.0768720 | − | 0.133146i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −2.70368e6 | − | 4.68290e6i | −0.169236 | − | 0.293126i | 0.768915 | − | 0.639351i | \(-0.220797\pi\) |
−0.938152 | + | 0.346225i | \(0.887463\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.20151e7 | + | 8.06480e6i | −1.36902 | + | 0.501513i | ||||
\(764\) | 0 | 0 | ||||||||
\(765\) | −3.51559e6 | − | 6.08918e6i | −0.217192 | − | 0.376188i | ||||
\(766\) | 0 | 0 | ||||||||
\(767\) | −4.60509e6 | + | 7.97626e6i | −0.282651 | + | 0.489565i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −7.93100e6 | −0.483629 | −0.241814 | − | 0.970323i | \(-0.577742\pi\) | ||||
−0.241814 | + | 0.970323i | \(0.577742\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −9.97122e6 | −0.604105 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −134790. | + | 233462.i | −0.00811349 | + | 0.0140530i | −0.870054 | − | 0.492957i | \(-0.835916\pi\) |
0.861940 | + | 0.507010i | \(0.169249\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 1.16243e7 | + | 2.01338e7i | 0.695203 | + | 1.20413i | ||||
\(776\) | 0 | 0 | ||||||||
\(777\) | −6.97925e6 | − | 5.83157e6i | −0.414721 | − | 0.346523i | ||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −1.06784e7 | − | 1.84955e7i | −0.630465 | − | 1.09200i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −5.24205e6 | + | 9.07950e6i | −0.307520 | + | 0.532641i | ||||