Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [126,6,Mod(37,126)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(126, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 6, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("126.37");
S:= CuspForms(chi, 6);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 126 = 2 \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 6 \) |
Character orbit: | \([\chi]\) | \(=\) | 126.g (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(20.2083612964\) |
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 | 109.1 | ||
Root | \(24.7462 + 42.8616i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 126.109 |
Dual form | 126.6.g.h.37.1 |
$q$-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 \(\left(\mathbb{Z}/126\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.00000 | + | 3.46410i | 0.353553 | + | 0.612372i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −8.00000 | + | 13.8564i | −0.250000 | + | 0.433013i | ||||
\(5\) | −37.7462 | − | 65.3783i | −0.675224 | − | 1.16952i | −0.976403 | − | 0.215955i | \(-0.930714\pi\) |
0.301179 | − | 0.953568i | \(-0.402620\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 99.4847 | + | 83.1252i | 0.767381 | + | 0.641191i | ||||
\(8\) | −64.0000 | −0.353553 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 150.985 | − | 261.513i | 0.477456 | − | 0.826977i | ||||
\(11\) | −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 | \(0.407436\pi\) | |||||||
\(14\) | −88.9847 | + | 510.875i | −0.121338 | + | 0.696618i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −128.000 | − | 221.703i | −0.125000 | − | 0.216506i | ||||
\(17\) | −574.923 | + | 995.797i | −0.482489 | + | 0.835696i | −0.999798 | − | 0.0201029i | \(-0.993601\pi\) |
0.517309 | + | 0.855799i | \(0.326934\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 1397.60 | + | 2420.72i | 0.888176 | + | 1.53837i | 0.842029 | + | 0.539432i | \(0.181361\pi\) |
0.0461468 | + | 0.998935i | \(0.485306\pi\) | |||||||
\(20\) | 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 | \(-0.0502947\pi\) |
−0.630040 | + | 0.776563i | \(0.716961\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1287.05 | + | 2229.23i | −0.411855 | + | 0.713354i | ||||
\(26\) | 698.832 | + | 1210.41i | 0.202740 | + | 0.351156i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1947.69 | + | 713.499i | −0.469489 | + | 0.171988i | ||||
\(29\) | 759.033 | 0.167597 | 0.0837984 | − | 0.996483i | \(-0.473295\pi\) | ||||
0.0837984 | + | 0.996483i | \(0.473295\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −4515.87 | + | 7821.72i | −0.843990 | + | 1.46183i | 0.0425050 | + | 0.999096i | \(0.486466\pi\) |
−0.886495 | + | 0.462738i | \(0.846867\pi\) | |||||||
\(32\) | 512.000 | − | 886.810i | 0.0883883 | − | 0.153093i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −4599.39 | −0.682343 | ||||||||
\(35\) | 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 | \(0.988370\pi\) | |||||||
\(38\) | −5590.40 | + | 9682.86i | −0.628035 | + | 1.08779i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 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 | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −3627.94 | + | 6283.77i | −0.252793 | + | 0.437851i | ||||
\(47\) | 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 | ||||
\(50\) | −10296.4 | −0.582451 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | −2795.33 | + | 4841.65i | −0.143359 | + | 0.248305i | ||||
\(53\) | 6798.11 | − | 11774.7i | 0.332429 | − | 0.575783i | −0.650559 | − | 0.759456i | \(-0.725465\pi\) |
0.982988 | + | 0.183672i | \(0.0587986\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 11283.2 | 0.502952 | ||||||||
\(56\) | −6367.02 | − | 5320.01i | −0.271310 | − | 0.226695i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 1518.07 | + | 2629.37i | 0.0592544 | + | 0.102632i | ||||
\(59\) | −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 | \(-0.374573\pi\) | |||||||
\(62\) | −36127.0 | −1.19358 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 4096.00 | 0.125000 | ||||||||
\(65\) | −13189.1 | − | 22844.2i | −0.387197 | − | 0.670645i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −27186.0 | + | 47087.5i | −0.739874 | + | 1.28150i | 0.212678 | + | 0.977122i | \(0.431781\pi\) |
−0.952552 | + | 0.304377i | \(0.901552\pi\) | |||||||
\(68\) | −9198.78 | − | 15932.7i | −0.241245 | − | 0.417848i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 36759.0 | − | 13465.9i | 0.896641 | − | 0.328467i | ||||
\(71\) | 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 | \(0.00427090\pi\) | |||||||
\(74\) | 15589.8 | − | 27002.3i | 0.330949 | − | 0.573220i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −44723.2 | −0.888176 | ||||||||
\(77\) | −18194.1 | + | 6665.05i | −0.349707 | + | 0.128108i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −30806.2 | − | 53357.9i | −0.555355 | − | 0.961903i | −0.997876 | − | 0.0651450i | \(-0.979249\pi\) |
0.442521 | − | 0.896758i | \(-0.354084\pi\) | |||||||
\(80\) | −9663.02 | + | 16736.8i | −0.168806 | + | 0.292381i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −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 | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4782.78 | − | 8284.01i | 0.0658375 | − | 0.114034i | ||||
\(89\) | 49284.7 | + | 85363.6i | 0.659534 | + | 1.14235i | 0.980736 | + | 0.195336i | \(0.0625796\pi\) |
−0.321203 | + | 0.947010i | \(0.604087\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 34761.5 | + | 29045.3i | 0.440043 | + | 0.367681i | ||||
\(92\) | −29023.5 | −0.357504 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −49197.6 | + | 85212.8i | −0.574281 | + | 0.994684i | ||||
\(95\) | 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 | \(0.444167\pi\) | |||||||
\(98\) | −51319.2 | + | 43427.4i | −0.539778 | + | 0.456771i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −20592.8 | − | 35667.7i | −0.205928 | − | 0.356677i | ||||
\(101\) | 15673.2 | − | 27146.8i | 0.152881 | − | 0.264798i | −0.779404 | − | 0.626521i | \(-0.784478\pi\) |
0.932286 | + | 0.361723i | \(0.117811\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −49666.5 | − | 86024.8i | −0.461286 | − | 0.798970i | 0.537740 | − | 0.843111i | \(-0.319278\pi\) |
−0.999025 | + | 0.0441406i | \(0.985945\pi\) | |||||||
\(104\) | −22362.6 | −0.202740 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 54384.9 | 0.470125 | ||||||||
\(107\) | −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 | \(-0.0933452\pi\) | |||||||
\(110\) | 22566.4 | + | 39086.2i | 0.177820 | + | 0.307994i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 5695.02 | − | 32696.0i | 0.0428993 | − | 0.246292i | ||||
\(113\) | −197832. | −1.45748 | −0.728738 | − | 0.684793i | \(-0.759893\pi\) | ||||
−0.728738 | + | 0.684793i | \(0.759893\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 68470.4 | − | 118594.i | 0.482790 | − | 0.836217i | ||||
\(116\) | −6072.27 | + | 10517.5i | −0.0418992 | + | 0.0725715i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −105435. | −0.697077 | ||||||||
\(119\) | −139972. | + | 51275.9i | −0.906094 | + | 0.331930i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 69356.1 | + | 120128.i | 0.430647 | + | 0.745902i | ||||
\(122\) | 70643.5 | − | 122358.i | 0.429707 | − | 0.744275i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −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 | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 52756.4 | − | 91376.8i | 0.273790 | − | 0.474218i | ||||
\(131\) | −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 | ||||
\(134\) | −217488. | −1.04634 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 36795.1 | − | 63731.0i | 0.170586 | − | 0.295463i | ||||
\(137\) | −9466.01 | + | 16395.6i | −0.0430889 | + | 0.0746322i | −0.886766 | − | 0.462220i | \(-0.847053\pi\) |
0.843677 | + | 0.536852i | \(0.180387\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −168897. | −0.741457 | −0.370729 | − | 0.928741i | \(-0.620892\pi\) | ||||
−0.370729 | + | 0.928741i | \(0.620892\pi\) | |||||||
\(140\) | 120165. | + | 100405.i | 0.518154 | + | 0.432948i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 140291. | + | 242992.i | 0.583862 | + | 1.01128i | ||||
\(143\) | −26112.1 | + | 45227.6i | −0.106783 | + | 0.184954i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −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 | \(-0.00472395\pi\) |
−0.512797 | + | 0.858510i | \(0.671391\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −139587. | + | 241772.i | −0.498200 | + | 0.862908i | −0.999998 | − | 0.00207707i | \(-0.999339\pi\) |
0.501798 | + | 0.864985i | \(0.332672\pi\) | |||||||
\(152\) | −89446.4 | − | 154926.i | −0.314018 | − | 0.543895i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −59476.6 | − | 49696.1i | −0.202090 | − | 0.168858i | ||||
\(155\) | 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 | \(0.265433\pi\) | |||||||
\(158\) | 123225. | − | 213432.i | 0.392695 | − | 0.680168i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −77304.2 | −0.238728 | ||||||||
\(161\) | −40353.9 | + | 231678.i | −0.122693 | + | 0.704402i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −44858.7 | − | 77697.5i | −0.132244 | − | 0.229054i | 0.792297 | − | 0.610136i | \(-0.208885\pi\) |
−0.924541 | + | 0.381081i | \(0.875552\pi\) | |||||||
\(164\) | 61124.0 | − | 105870.i | 0.177461 | − | 0.307371i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 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 | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −97510.7 | + | 168893.i | −0.251322 | + | 0.435303i | ||||
\(173\) | 16919.2 | + | 29304.8i | 0.0429797 | + | 0.0744430i | 0.886715 | − | 0.462316i | \(-0.152982\pi\) |
−0.843735 | + | 0.536759i | \(0.819648\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −313347. | + | 114788.i | −0.773446 | + | 0.283337i | ||||
\(176\) | 38262.2 | 0.0931083 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −197139. | + | 341454.i | −0.466361 | + | 0.807761i | ||||
\(179\) | −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 | \(0.362334\pi\) | |||||||
\(182\) | −31092.7 | + | 178508.i | −0.0695792 | + | 0.399465i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −58047.0 | − | 100540.i | −0.126397 | − | 0.218925i | ||||
\(185\) | −294227. | + | 509617.i | −0.632053 | + | 1.09475i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −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 | \(-0.326467\pi\) |
−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 | \(0.0631038\pi\) | |||||||
\(194\) | 64684.7 | + | 112037.i | 0.123395 | + | 0.213726i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −253075. | − | 90920.2i | −0.470554 | − | 0.169052i | ||||
\(197\) | 161963. | 0.297337 | 0.148669 | − | 0.988887i | \(-0.452501\pi\) | ||||
0.148669 | + | 0.988887i | \(0.452501\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −27698.1 | + | 47974.5i | −0.0495813 | + | 0.0858773i | −0.889751 | − | 0.456446i | \(-0.849122\pi\) |
0.840170 | + | 0.542324i | \(0.182455\pi\) | |||||||
\(200\) | 82371.0 | − | 142671.i | 0.145613 | − | 0.252209i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 125386. | 0.216207 | ||||||||
\(203\) | 75512.2 | + | 63094.8i | 0.128611 | + | 0.107462i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 288399. | + | 499522.i | 0.479303 | + | 0.830176i | ||||
\(206\) | 198666. | − | 344099.i | 0.326178 | − | 0.564957i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −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 | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 290536. | − | 503223.i | 0.433676 | − | 0.751149i | ||||
\(215\) | −460082. | − | 796885.i | −0.678795 | − | 1.17571i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −1.09944e6 | + | 402759.i | −1.58498 | + | 0.580625i | ||||
\(218\) | 723403. | 1.03095 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −90265.7 | + | 156345.i | −0.125738 | + | 0.217784i | ||||
\(221\) | −200887. | + | 347947.i | −0.276676 | + | 0.479217i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 638779. | 0.860178 | 0.430089 | − | 0.902787i | \(-0.358482\pi\) | ||||
0.430089 | + | 0.902787i | \(0.358482\pi\) | |||||||
\(224\) | 124652. | − | 45663.9i | 0.165990 | − | 0.0608070i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −395665. | − | 685312.i | −0.515295 | − | 0.892518i | ||||
\(227\) | −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 | \(-0.366612\pi\) | |||||||
\(230\) | 547763. | 0.682768 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −48578.1 | −0.0592544 | ||||||||
\(233\) | −353896. | − | 612967.i | −0.427058 | − | 0.739685i | 0.569553 | − | 0.821955i | \(-0.307116\pi\) |
−0.996610 | + | 0.0822696i | \(0.973783\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 928511. | − | 1.60823e6i | 1.09677 | − | 1.89967i | ||||
\(236\) | −210871. | − | 365238.i | −0.246454 | − | 0.426871i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −457569. | − | 382325.i | −0.523617 | − | 0.437512i | ||||
\(239\) | 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 | \(0.932962\pi\) | |||||||
\(242\) | −277424. | + | 480513.i | −0.304513 | + | 0.527432i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 565148. | 0.607698 | ||||||||
\(245\) | 968552. | − | 819609.i | 1.03088 | − | 0.872352i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 488344. | + | 845836.i | 0.509311 | + | 0.882153i | ||||
\(248\) | 289016. | − | 500590.i | 0.298396 | − | 0.516836i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −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 | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −32768.0 | + | 56755.8i | −0.0312500 | + | 0.0541266i | ||||
\(257\) | −553956. | − | 959481.i | −0.523170 | − | 0.906157i | −0.999636 | − | 0.0269643i | \(-0.991416\pi\) |
0.476466 | − | 0.879193i | \(-0.341917\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 173406. | − | 995555.i | 0.160626 | − | 0.922180i | ||||
\(260\) | 422052. | 0.387197 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 21617.8 | − | 37443.2i | 0.0194562 | − | 0.0336992i | ||||
\(263\) | 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 | ||||||||
\(266\) | −1.36105e6 | + | 498593.i | −1.17942 | + | 0.432058i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −434975. | − | 753399.i | −0.369937 | − | 0.640750i | ||||
\(269\) | −1.06751e6 | + | 1.84898e6i | −0.899481 | + | 1.55795i | −0.0713221 | + | 0.997453i | \(0.522722\pi\) |
−0.828159 | + | 0.560493i | \(0.810612\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −614299. | − | 1.06400e6i | −0.508108 | − | 0.880070i | −0.999956 | − | 0.00938828i | \(-0.997012\pi\) |
0.491847 | − | 0.870681i | \(-0.336322\pi\) | |||||||
\(272\) | 294361. | 0.241245 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −75728.1 | −0.0609369 | ||||||||
\(275\) | −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 | \(-0.0906152\pi\) | |||||||
\(278\) | −337795. | − | 585078.i | −0.262145 | − | 0.454048i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −107483. | + | 617075.i | −0.0819300 | + | 0.470374i | ||||
\(281\) | 2.28326e6 | 1.72500 | 0.862500 | − | 0.506056i | \(-0.168897\pi\) | ||||
0.862500 | + | 0.506056i | \(0.168897\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −668463. | + | 1.15781e6i | −0.496148 | + | 0.859354i | −0.999990 | − | 0.00444218i | \(-0.998586\pi\) |
0.503842 | + | 0.863796i | \(0.331919\pi\) | |||||||
\(284\) | −561166. | + | 971968.i | −0.412853 | + | 0.715082i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −208897. | −0.151014 | ||||||||
\(287\) | −760112. | − | 635118.i | −0.544720 | − | 0.455145i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 48854.5 | + | 84618.5i | 0.0344081 | + | 0.0595965i | ||||
\(290\) | 114602. | − | 198497.i | 0.0800200 | − | 0.138599i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 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 | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −528004. | + | 914530.i | −0.344427 | + | 0.596565i | ||||
\(299\) | 316915. | + | 548913.i | 0.205005 | + | 0.355079i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.21260e6 | + | 1.01320e6i | 0.771440 | + | 0.644583i | ||||
\(302\) | −1.11670e6 | −0.704561 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 357786. | − | 619703.i | 0.222044 | − | 0.384592i | ||||
\(305\) | −1.33326e6 | + | 2.30928e6i | −0.820664 | + | 1.42143i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 1.77782e6 | 1.07657 | 0.538284 | − | 0.842763i | \(-0.319073\pi\) | ||||
0.538284 | + | 0.842763i | \(0.319073\pi\) | |||||||
\(308\) | 53199.2 | − | 305425.i | 0.0319542 | − | 0.183454i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 1.36366e6 | + | 2.36192e6i | 0.805936 | + | 1.39592i | ||||
\(311\) | 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 | \(0.947708\pi\) | |||||||
\(314\) | −754409. | −0.431800 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 985799. | 0.555355 | ||||||||
\(317\) | 1.34001e6 | + | 2.32096e6i | 0.748961 | + | 1.29724i | 0.948321 | + | 0.317312i | \(0.102780\pi\) |
−0.199361 | + | 0.979926i | \(0.563887\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −56723.2 | + | 98247.5i | −0.0312093 | + | 0.0540561i | ||||
\(320\) | −154608. | − | 267789.i | −0.0844030 | − | 0.146190i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −883264. | + | 323566.i | −0.474735 | + | 0.173910i | ||||
\(323\) | −3.21405e6 | −1.71414 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −449715. | + | 778929.i | −0.236172 | + | 0.409062i | ||||
\(326\) | 179435. | − | 310790.i | 0.0935110 | − | 0.161966i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 488992. | 0.250967 | ||||||||
\(329\) | −547229. | + | 3.14173e6i | −0.278727 | + | 1.60022i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −71280.1 | − | 123461.i | −0.0357601 | − | 0.0619383i | 0.847591 | − | 0.530649i | \(-0.178052\pi\) |
−0.883352 | + | 0.468711i | \(0.844719\pi\) | |||||||
\(332\) | −697136. | + | 1.20747e6i | −0.347114 | + | 0.601219i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −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 | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −694437. | + | 1.20280e6i | −0.325788 | + | 0.564282i | ||||
\(341\) | −674950. | − | 1.16905e6i | −0.314330 | − | 0.544435i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −1.07764e6 | + | 1.89374e6i | −0.494580 | + | 0.869132i | ||||
\(344\) | −780085. | −0.355423 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −67676.6 | + | 117219.i | −0.0303912 | + | 0.0526392i | ||||
\(347\) | 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 | \(0.428266\pi\) | |||||||
\(350\) | −1.02433e6 | − | 855888.i | −0.446962 | − | 0.373462i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 76524.4 | + | 132544.i | 0.0329187 | + | 0.0570169i | ||||
\(353\) | 781927. | − | 1.35434e6i | 0.333987 | − | 0.578483i | −0.649303 | − | 0.760530i | \(-0.724939\pi\) |
0.983290 | + | 0.182048i | \(0.0582725\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −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 | \(-0.163437\pi\) |
−0.860908 | + | 0.508761i | \(0.830104\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.66853e6 | + | 4.62202e6i | −1.07771 | + | 1.86666i | ||||
\(362\) | 738940. | + | 1.27988e6i | 0.296373 | + | 0.513332i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −680555. | + | 249308.i | −0.269222 | + | 0.0986239i | ||||
\(365\) | −3.35705e6 | −1.31894 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −1.77416e6 | + | 3.07293e6i | −0.687585 | + | 1.19093i | 0.285032 | + | 0.958518i | \(0.407996\pi\) |
−0.972617 | + | 0.232414i | \(0.925337\pi\) | |||||||
\(368\) | 232188. | − | 402162.i | 0.0893759 | − | 0.154804i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.35382e6 | −0.893858 | ||||||||
\(371\) | 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 | \(0.695453\pi\) | |||||||
\(374\) | 343716. | − | 595334.i | 0.127064 | − | 0.220081i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −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 | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 970449. | − | 1.68087e6i | 0.340263 | − | 0.589352i | ||||
\(383\) | −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 | ||||
\(386\) | 1.32327e6 | 0.452043 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −258739. | + | 448149.i | −0.0872533 | + | 0.151127i | ||||
\(389\) | 1.02712e6 | − | 1.77903e6i | 0.344150 | − | 0.596086i | −0.641049 | − | 0.767500i | \(-0.721500\pi\) |
0.985199 | + | 0.171415i | \(0.0548337\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −2.08579e6 | −0.689967 | ||||||||
\(392\) | −191194. | − | 1.05852e6i | −0.0628434 | − | 0.347923i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 323925. | + | 561055.i | 0.105125 | + | 0.182081i | ||||
\(395\) | −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 | \(0.626260\pi\) | |||||||
\(398\) | −221585. | −0.0701185 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 658968. | 0.205928 | ||||||||
\(401\) | 592622. | + | 1.02645e6i | 0.184042 | + | 0.318770i | 0.943253 | − | 0.332074i | \(-0.107748\pi\) |
−0.759211 | + | 0.650844i | \(0.774415\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −1.57792e6 | + | 2.73303e6i | −0.483974 | + | 0.838267i | ||||
\(404\) | 250771. | + | 434349.i | 0.0764406 | + | 0.132399i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −67542.3 | + | 387771.i | −0.0203358 | + | 0.116751i | ||||
\(407\) | 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 | \(-0.0527878\pi\) | |||||||
\(410\) | −1.15360e6 | + | 1.99809e6i | −0.338918 | + | 0.587023i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 1.58933e6 | 0.461286 | ||||||||
\(413\) | −3.20868e6 | + | 1.17544e6i | −0.925660 | + | 0.339097i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.28928e6 | − | 5.69719e6i | −0.937519 | − | 1.62383i | ||||
\(416\) | 178901. | − | 309865.i | 0.0506850 | − | 0.0877889i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −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 | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | −435079. | + | 753579.i | −0.117531 | + | 0.203570i | ||||
\(425\) | −1.47991e6 | − | 2.56327e6i | −0.397431 | − | 0.688371i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 785774. | − | 4.51125e6i | 0.208559 | − | 1.19737i | ||||
\(428\) | 2.32429e6 | 0.613310 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 1.84033e6 | − | 3.18754e6i | 0.479981 | − | 0.831351i | ||||
\(431\) | 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 | \(0.180651\pi\) | |||||||
\(434\) | −3.59408e6 | − | 3.00306e6i | −0.915933 | − | 0.765314i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 1.44681e6 | + | 2.50594e6i | 0.364497 | + | 0.631327i | ||||
\(437\) | −2.53520e6 | + | 4.39110e6i | −0.635052 | + | 1.09994i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 910348. | + | 1.57677e6i | 0.225448 | + | 0.390487i | 0.956454 | − | 0.291884i | \(-0.0942822\pi\) |
−0.731006 | + | 0.682371i | \(0.760949\pi\) | |||||||
\(440\) | −722126. | −0.177820 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −1.60710e6 | −0.391279 | ||||||||
\(443\) | −1.03495e6 | − | 1.79259e6i | −0.250559 | − | 0.433982i | 0.713121 | − | 0.701041i | \(-0.247281\pi\) |
−0.963680 | + | 0.267060i | \(0.913948\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 3.72062e6 | − | 6.44430e6i | 0.890666 | − | 1.54268i | ||||
\(446\) | 1.27756e6 | + | 2.21279e6i | 0.304119 | + | 0.526749i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 407489. | + | 340481.i | 0.0959227 | + | 0.0801489i | ||||
\(449\) | −5.72581e6 | −1.34036 | −0.670180 | − | 0.742199i | \(-0.733783\pi\) | ||||
−0.670180 | + | 0.742199i | \(0.733783\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 570981. | − | 988968.i | 0.132184 | − | 0.228950i | ||||
\(452\) | 1.58266e6 | − | 2.74125e6i | 0.364369 | − | 0.631105i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −2.10273e6 | −0.478788 | ||||||||
\(455\) | 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 | \(0.844696\pi\) | |||||||
\(458\) | 1.86537e6 | − | 3.23092e6i | 0.415529 | − | 0.719718i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 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 | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 1.41559e6 | − | 2.45187e6i | 0.301975 | − | 0.523037i | ||||
\(467\) | 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 | ||||
\(470\) | 7.42809e6 | 1.55107 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 843482. | − | 1.46095e6i | 0.174269 | − | 0.301843i | ||||
\(473\) | −910882. | + | 1.57769e6i | −0.187202 | + | 0.324243i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −7.19511e6 | −1.46320 | ||||||||
\(476\) | 409275. | − | 2.34971e6i | 0.0827938 | − | 0.475333i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 1.00123e6 | + | 1.73418e6i | 0.200430 | + | 0.347155i | ||||
\(479\) | 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 | ||||
\(482\) | −4.83287e6 | −0.947519 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −2.21940e6 | −0.430647 | ||||||||
\(485\) | −1.22080e6 | − | 2.11449e6i | −0.235662 | − | 0.408179i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.11812e6 | + | 5.40074e6i | −0.595759 | + | 1.03188i | 0.397681 | + | 0.917524i | \(0.369815\pi\) |
−0.993439 | + | 0.114360i | \(0.963518\pi\) | |||||||
\(488\) | 1.13030e6 | + | 1.95773e6i | 0.214854 | + | 0.372137i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.77631e6 | + | 1.71594e6i | 0.898675 | + | 0.322859i | ||||
\(491\) | 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 | ||||
\(494\) | −1.95338e6 | + | 3.38335e6i | −0.360137 | + | 0.623776i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 2.31213e6 | 0.421995 | ||||||||
\(497\) | 6.97843e6 | + | 5.83088e6i | 1.26726 | + | 1.05887i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −3.98785e6 | − | 6.90717e6i | −0.716948 | − | 1.24179i | −0.962203 | − | 0.272333i | \(-0.912205\pi\) |
0.245255 | − | 0.969459i | \(-0.421128\pi\) | |||||||
\(500\) | 332713. | − | 576276.i | 0.0595176 | − | 0.103087i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −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 | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 268138. | − | 464428.i | 0.0460998 | − | 0.0798472i | ||||
\(509\) | 1.95025e6 | + | 3.37793e6i | 0.333653 | + | 0.577904i | 0.983225 | − | 0.182396i | \(-0.0583852\pi\) |
−0.649572 | + | 0.760300i | \(0.725052\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 5.41323e6 | − | 1.98303e6i | 0.917073 | − | 0.335951i | ||||
\(512\) | −262144. | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 2.21583e6 | − | 3.83792e6i | 0.369937 | − | 0.640750i | ||||
\(515\) | −3.74944e6 | + | 6.49422e6i | −0.622943 | + | 1.07897i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.67658e6 | −0.604947 | ||||||||
\(518\) | 3.79551e6 | − | 1.39041e6i | 0.621507 | − | 0.227677i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 844103. | + | 1.46203e6i | 0.136895 | + | 0.237109i | ||||
\(521\) | 3.50032e6 | − | 6.06273e6i | 0.564954 | − | 0.978529i | −0.432100 | − | 0.901826i | \(-0.642227\pi\) |
0.997054 | − | 0.0767034i | \(-0.0244394\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 1.05604e6 | + | 1.82911e6i | 0.168821 | + | 0.292406i | 0.938005 | − | 0.346620i | \(-0.112671\pi\) |
−0.769185 | + | 0.639026i | \(0.779337\pi\) | |||||||
\(524\) | 172943. | 0.0275153 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 6.02741e6 | 0.949875 | ||||||||
\(527\) | −5.19256e6 | − | 8.99378e6i | −0.814433 | − | 1.41064i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.57293e6 | − | 2.72439e6i | 0.244382 | − | 0.423283i | ||||
\(530\) | −2.05282e6 | − | 3.55559e6i | −0.317440 | − | 0.549822i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −4.44928e6 | − | 3.71763e6i | −0.681570 | − | 0.569491i | ||||
\(533\) | −2.66971e6 | −0.407048 | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −5.48331e6 | + | 9.49737e6i | −0.828244 | + | 1.43456i | ||||
\(536\) | 1.73990e6 | − | 3.01360e6i | 0.261585 | − | 0.453078i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −8.54009e6 | −1.27206 | ||||||||
\(539\) | −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 | \(0.970976\pi\) | |||||||
\(542\) | 2.45720e6 | − | 4.25599e6i | 0.359287 | − | 0.622303i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 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 | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 769457. | − | 1.33274e6i | 0.108462 | − | 0.187862i | ||||
\(551\) | 1.06083e6 | + | 1.83740e6i | 0.148855 | + | 0.257825i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.37064e6 | − | 7.86907e6i | 0.190595 | − | 1.09424i | ||||
\(554\) | 7.38730e6 | 1.02261 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 1.35118e6 | − | 2.34031e6i | 0.185364 | − | 0.321060i | ||||
\(557\) | −3.36970e6 | + | 5.83650e6i | −0.460208 | + | 0.797103i | −0.998971 | − | 0.0453541i | \(-0.985558\pi\) |
0.538763 | + | 0.842457i | \(0.318892\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 4.25897e6 | 0.576468 | ||||||||
\(560\) | −2.35258e6 | + | 861819.i | −0.317010 | + | 0.116130i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 4.56652e6 | + | 7.90944e6i | 0.609880 | + | 1.05634i | ||||
\(563\) | −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 | ||||
\(566\) | −5.34770e6 | −0.701659 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −4.48933e6 | −0.583862 | ||||||||
\(569\) | −6.97934e6 | − | 1.20886e7i | −0.903719 | − | 1.56529i | −0.822627 | − | 0.568581i | \(-0.807493\pi\) |
−0.0810922 | − | 0.996707i | \(-0.525841\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 1.17920e6 | − | 2.04244e6i | 0.151355 | − | 0.262155i | −0.780371 | − | 0.625317i | \(-0.784970\pi\) |
0.931726 | + | 0.363162i | \(0.118303\pi\) | |||||||
\(572\) | −417794. | − | 723641.i | −0.0533915 | − | 0.0924769i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 679887. | − | 3.90334e6i | 0.0861305 | − | 0.494489i | ||||
\(575\) | −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 | \(0.268099\pi\) | |||||||
\(578\) | −195418. | + | 338474.i | −0.0243302 | + | 0.0421411i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 916819. | 0.113165 | ||||||||
\(581\) | 8.66929e6 | + | 7.24369e6i | 1.06547 | + | 0.890266i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 1.01606e6 | + | 1.75986e6i | 0.123807 | + | 0.214441i | ||||
\(584\) | −1.42300e6 | + | 2.46471e6i | −0.172653 | + | 0.299043i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 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 | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −997746. | + | 1.72815e6i | −0.117008 | + | 0.202664i | ||||
\(593\) | −1.26840e6 | − | 2.19694e6i | −0.148122 | − | 0.256555i | 0.782411 | − | 0.622762i | \(-0.213990\pi\) |
−0.930533 | + | 0.366207i | \(0.880656\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.63573e6 | + | 7.21565e6i | 1.00002 | + | 0.835571i | ||||
\(596\) | −4.22403e6 | −0.487093 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −1.26766e6 | + | 2.19565e6i | −0.144960 | + | 0.251079i | ||||
\(599\) | 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 | \(0.280838\pi\) | |||||||
\(602\) | −1.08462e6 | + | 6.22698e6i | −0.121979 | + | 0.700303i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −2.23340e6 | − | 3.86836e6i | −0.249100 | − | 0.431454i | ||||
\(605\) | 5.23585e6 | − | 9.06877e6i | 0.581566 | − | 1.00730i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 7.01851e6 | + | 1.21564e7i | 0.773167 | + | 1.33916i | 0.935819 | + | 0.352481i | \(0.114662\pi\) |
−0.162652 | + | 0.986684i | \(0.552005\pi\) | |||||||
\(608\) | 2.86229e6 | 0.314018 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −1.06661e7 | −1.16059 | ||||||||
\(611\) | 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 | \(0.0321997\pi\) | |||||||
\(614\) | 3.55564e6 | + | 6.15855e6i | 0.380624 | + | 0.659261i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 1.16442e6 | − | 426563.i | 0.123640 | − | 0.0452930i | ||||
\(617\) | 4.41080e6 | 0.466450 | 0.233225 | − | 0.972423i | \(-0.425072\pi\) | ||||
0.233225 | + | 0.972423i | \(0.425072\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 4.52178e6 | − | 7.83195e6i | 0.474332 | − | 0.821567i | −0.525236 | − | 0.850957i | \(-0.676023\pi\) |
0.999568 | + | 0.0293895i | \(0.00935632\pi\) | |||||||
\(620\) | −5.45462e6 | + | 9.44768e6i | −0.569883 | + | 0.987065i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 5.61087e6 | 0.581506 | ||||||||
\(623\) | −2.19279e6 | + | 1.25892e7i | −0.226348 | + | 1.29950i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 5.59185e6 | + | 9.68538e6i | 0.572606 | + | 0.991782i | ||||
\(626\) | 2.43789e6 | − | 4.22255e6i | 0.248644 | − | 0.430664i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −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 | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −5.36003e6 | + | 9.28384e6i | −0.529595 | + | 0.917286i | ||||
\(635\) | 1.26515e6 | + | 2.19130e6i | 0.124511 | + | 0.215659i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 1.04385e6 | + | 5.77912e6i | 0.101927 | + | 0.564304i | ||||
\(638\) | −453786. | −0.0441366 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 618433. | − | 1.07116e6i | 0.0596819 | − | 0.103372i | ||||
\(641\) | 1.84412e6 | − | 3.19411e6i | 0.177273 | − | 0.307047i | −0.763672 | − | 0.645604i | \(-0.776606\pi\) |
0.940946 | + | 0.338558i | \(0.109939\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −1.17584e7 | −1.12155 | −0.560776 | − | 0.827968i | \(-0.689497\pi\) | ||||
−0.560776 | + | 0.827968i | \(0.689497\pi\) | |||||||
\(644\) | −2.88739e6 | − | 2.41258e6i | −0.274342 | − | 0.229228i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −6.42811e6 | − | 1.11338e7i | −0.606041 | − | 1.04969i | ||||
\(647\) | −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 | ||||
\(650\) | −3.59772e6 | −0.333998 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 1.43548e6 | 0.132244 | ||||||||
\(653\) | −513100. | − | 888714.i | −0.0470889 | − | 0.0815604i | 0.841520 | − | 0.540226i | \(-0.181661\pi\) |
−0.888609 | + | 0.458665i | \(0.848328\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −407995. | + | 706668.i | −0.0371579 | + | 0.0643594i | ||||
\(656\) | 977983. | + | 1.69392e6i | 0.0887303 | + | 0.153685i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −1.19777e7 | + | 4.38781e6i | −1.07847 | + | 0.395078i | ||||
\(659\) | −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 | \(0.203990\pi\) | |||||||
\(662\) | 285120. | − | 493843.i | 0.0252862 | − | 0.0437970i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −5.57709e6 | −0.490893 | ||||||||
\(665\) | 2.56872e7 | − | 9.40999e6i | 2.25249 | − | 0.825154i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 688431. | + | 1.19240e6i | 0.0599165 | + | 0.103778i | ||||
\(668\) | 4.23529e6 | − | 7.33574e6i | 0.367233 | − | 0.636067i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 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 | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.99361e6 | − | 3.45304e6i | 0.167793 | − | 0.290626i | ||||
\(677\) | −3.01655e6 | − | 5.22482e6i | −0.252953 | − | 0.438127i | 0.711385 | − | 0.702803i | \(-0.248068\pi\) |
−0.964337 | + | 0.264676i | \(0.914735\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 3.21757e6 | + | 2.68846e6i | 0.267826 | + | 0.223784i | ||||
\(680\) | −5.55550e6 | −0.460734 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 2.69980e6 | − | 4.67619e6i | 0.222265 | − | 0.384974i | ||||
\(683\) | 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 | ||||||||
\(686\) | −8.71539e6 | + | 54443.0i | −0.707093 | + | 0.00441705i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −1.56017e6 | − | 2.70230e6i | −0.125661 | − | 0.217652i | ||||
\(689\) | 2.37537e6 | − | 4.11426e6i | 0.190626 | − | 0.330174i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 5.27739e6 | + | 9.14071e6i | 0.420460 | + | 0.728257i | 0.995984 | − | 0.0895269i | \(-0.0285355\pi\) |
−0.575525 | + | 0.817784i | \(0.695202\pi\) | |||||||
\(692\) | −541413. | −0.0429797 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 1.38741e7 | 1.09347 | ||||||||
\(695\) | 6.37523e6 | + | 1.10422e7i | 0.500650 | + | 0.867151i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 4.39270e6 | − | 7.60838e6i | 0.342491 | − | 0.593212i | ||||
\(698\) | 2.03383e6 | + | 3.52270e6i | 0.158007 | + | 0.273676i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 916220. | − | 5.26017e6i | 0.0706732 | − | 0.405746i | ||||
\(701\) | 7.20675e6 | 0.553917 | 0.276958 | − | 0.960882i | \(-0.410674\pi\) | ||||
0.276958 | + | 0.960882i | \(0.410674\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 1.08941e7 | − | 1.88692e7i | 0.831390 | − | 1.44001i | ||||
\(704\) | −306098. | + | 530177.i | −0.0232771 | + | 0.0403171i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 6.25542e6 | 0.472329 | ||||||||
\(707\) | 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 | \(0.865418\pi\) | |||||||
\(710\) | 1.05909e7 | − | 1.83440e7i | 0.788476 | − | 1.36568i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −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 | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −99106.3 | + | 171657.i | −0.00717447 | + | 0.0124266i | ||||
\(719\) | 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 | ||||
\(722\) | −2.13482e7 | −1.52412 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −2.95576e6 | + | 5.11953e6i | −0.209567 | + | 0.362981i | ||||
\(725\) | −976911. | + | 1.69206e6i | −0.0690256 | + | 0.119556i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 4.11366e6 | 0.288664 | 0.144332 | − | 0.989529i | \(-0.453897\pi\) | ||||
0.144332 | + | 0.989529i | \(0.453897\pi\) | |||||||
\(728\) | −2.22474e6 | − | 1.85890e6i | −0.155579 | − | 0.129995i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −6.71411e6 | − | 1.16292e7i | −0.466317 | − | 0.807685i | ||||
\(731\) | −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 | \(0.921099\pi\) | |||||||
\(734\) | −1.41932e7 | −0.972392 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 1.85750e6 | 0.126397 | ||||||||
\(737\) | −4.06326e6 | − | 7.03777e6i | −0.275554 | − | 0.477273i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −8.02050e6 | + | 1.38919e7i | −0.540245 | + | 0.935731i | 0.458645 | + | 0.888620i | \(0.348335\pi\) |
−0.998890 | + | 0.0471115i | \(0.984998\pi\) | |||||||
\(740\) | −4.70764e6 | − | 8.15387e6i | −0.316027 | − | 0.547374i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 5.41046e6 | + | 4.52075e6i | 0.360765 | + | 0.301440i | ||||
\(743\) | −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 | ||||
\(746\) | −4.51147e6 | + | 7.81409e6i | −0.296805 | + | 0.514081i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 2.74973e6 | 0.179695 | ||||||||
\(749\) | 3.23166e6 | − | 1.85535e7i | 0.210485 | − | 1.20843i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −1.12488e7 | − | 1.94835e7i | −0.727790 | − | 1.26057i | −0.957815 | − | 0.287385i | \(-0.907214\pi\) |
0.230025 | − | 0.973185i | \(-0.426119\pi\) | |||||||
\(752\) | 3.14865e6 | − | 5.45362e6i | 0.203039 | − | 0.351674i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 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 | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −6.75252e6 | + | 1.16957e7i | −0.424065 | + | 0.734501i | ||||
\(761\) | 2.70368e6 | + | 4.68290e6i | 0.169236 | + | 0.293126i | 0.938152 | − | 0.346225i | \(-0.112537\pi\) |
−0.768915 | + | 0.639351i | \(0.779203\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 2.20151e7 | − | 8.06480e6i | 1.36902 | − | 0.501513i | ||||
\(764\) | 7.76359e6 | 0.481204 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 2.45562e6 | − | 4.25325e6i | 0.151213 | − | 0.261908i | ||||
\(767\) | −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 | \(0.577742\pi\) | |||||||
\(770\) | −1.00403e6 | + | 5.76432e6i | −0.0610269 | + | 0.350365i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 2.64654e6 | + | 4.58394e6i | 0.159821 | + | 0.276819i | ||||
\(773\) | 134790. | − | 233462.i | 0.00811349 | − | 0.0140530i | −0.861940 | − | 0.507010i | \(-0.830751\pi\) |
0.870054 | + | 0.492957i | \(0.164084\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −1.16243e7 | − | 2.01338e7i |