Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [400,4,Mod(49,400)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(400, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("400.49");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 400 = 2^{4} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 400.c (of order \(2\), degree \(1\), 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: | \(23.6007640023\) |
Analytic rank: | \(0\) |
Dimension: | \(2\) |
Coefficient field: | \(\Q(i)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{13}]\) |
Coefficient ring index: | \( 2 \) |
Twist minimal: | no (minimal twist has level 10) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 49.1 | ||
Root | \(-1.00000i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 400.49 |
Dual form | 400.4.c.c.49.2 |
$q$-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 \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) | \(351\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(1\) |
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 | ||||||||
\(3\) | − 8.00000i | − 1.53960i | −0.638285 | − | 0.769800i | \(-0.720356\pi\) | ||||
0.638285 | − | 0.769800i | \(-0.279644\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 4.00000i | 0.215980i | 0.994152 | + | 0.107990i | \(0.0344414\pi\) | ||||
−0.994152 | + | 0.107990i | \(0.965559\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −37.0000 | −1.37037 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −12.0000 | −0.328921 | −0.164461 | − | 0.986384i | \(-0.552588\pi\) | ||||
−0.164461 | + | 0.986384i | \(0.552588\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 58.0000i | 1.23741i | 0.785624 | + | 0.618704i | \(0.212342\pi\) | ||||
−0.785624 | + | 0.618704i | \(0.787658\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 66.0000i | 0.941609i | 0.882238 | + | 0.470804i | \(0.156036\pi\) | ||||
−0.882238 | + | 0.470804i | \(0.843964\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −100.000 | −1.20745 | −0.603726 | − | 0.797192i | \(-0.706318\pi\) | ||||
−0.603726 | + | 0.797192i | \(0.706318\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 32.0000 | 0.332522 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 132.000i | 1.19669i | 0.801238 | + | 0.598346i | \(0.204175\pi\) | ||||
−0.801238 | + | 0.598346i | \(0.795825\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 80.0000i | 0.570222i | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 90.0000 | 0.576296 | 0.288148 | − | 0.957586i | \(-0.406961\pi\) | ||||
0.288148 | + | 0.957586i | \(0.406961\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −152.000 | −0.880645 | −0.440323 | − | 0.897840i | \(-0.645136\pi\) | ||||
−0.440323 | + | 0.897840i | \(0.645136\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 96.0000i | 0.506408i | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − 34.0000i | − 0.151069i | −0.997143 | − | 0.0755347i | \(-0.975934\pi\) | ||||
0.997143 | − | 0.0755347i | \(-0.0240664\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 464.000 | 1.90511 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −438.000 | −1.66839 | −0.834196 | − | 0.551467i | \(-0.814068\pi\) | ||||
−0.834196 | + | 0.551467i | \(0.814068\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 32.0000i | 0.113487i | 0.998389 | + | 0.0567437i | \(0.0180718\pi\) | ||||
−0.998389 | + | 0.0567437i | \(0.981928\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | 204.000i | 0.633116i | 0.948573 | + | 0.316558i | \(0.102527\pi\) | ||||
−0.948573 | + | 0.316558i | \(0.897473\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 327.000 | 0.953353 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 528.000 | 1.44970 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − 222.000i | − 0.575359i | −0.957727 | − | 0.287680i | \(-0.907116\pi\) | ||||
0.957727 | − | 0.287680i | \(-0.0928838\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 800.000i | 1.85899i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 420.000 | 0.926769 | 0.463384 | − | 0.886157i | \(-0.346635\pi\) | ||||
0.463384 | + | 0.886157i | \(0.346635\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 902.000 | 1.89327 | 0.946633 | − | 0.322312i | \(-0.104460\pi\) | ||||
0.946633 | + | 0.322312i | \(0.104460\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | − 148.000i | − 0.295972i | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1024.00i | 1.86719i | 0.358334 | + | 0.933593i | \(0.383345\pi\) | ||||
−0.358334 | + | 0.933593i | \(0.616655\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 1056.00 | 1.84243 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −432.000 | −0.722098 | −0.361049 | − | 0.932547i | \(-0.617581\pi\) | ||||
−0.361049 | + | 0.932547i | \(0.617581\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − 362.000i | − 0.580396i | −0.956967 | − | 0.290198i | \(-0.906279\pi\) | ||||
0.956967 | − | 0.290198i | \(-0.0937211\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | − 48.0000i | − 0.0710404i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −160.000 | −0.227866 | −0.113933 | − | 0.993488i | \(-0.536345\pi\) | ||||
−0.113933 | + | 0.993488i | \(0.536345\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −359.000 | −0.492455 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 72.0000i | 0.0952172i | 0.998866 | + | 0.0476086i | \(0.0151600\pi\) | ||||
−0.998866 | + | 0.0476086i | \(0.984840\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | − 720.000i | − 0.887266i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −810.000 | −0.964717 | −0.482359 | − | 0.875974i | \(-0.660220\pi\) | ||||
−0.482359 | + | 0.875974i | \(0.660220\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −232.000 | −0.267255 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 1216.00i | 1.35584i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 1106.00i | 1.15770i | 0.815433 | + | 0.578852i | \(0.196499\pi\) | ||||
−0.815433 | + | 0.578852i | \(0.803501\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 444.000 | 0.450744 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −258.000 | −0.254178 | −0.127089 | − | 0.991891i | \(-0.540563\pi\) | ||||
−0.127089 | + | 0.991891i | \(0.540563\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | − 988.000i | − 0.945151i | −0.881290 | − | 0.472575i | \(-0.843324\pi\) | ||||
0.881290 | − | 0.472575i | \(-0.156676\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 24.0000i | 0.0216838i | 0.999941 | + | 0.0108419i | \(0.00345115\pi\) | ||||
−0.999941 | + | 0.0108419i | \(0.996549\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −950.000 | −0.834803 | −0.417401 | − | 0.908722i | \(-0.637059\pi\) | ||||
−0.417401 | + | 0.908722i | \(0.637059\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −272.000 | −0.232586 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 1038.00i | 0.864131i | 0.901842 | + | 0.432066i | \(0.142215\pi\) | ||||
−0.901842 | + | 0.432066i | \(0.857785\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − 2146.00i | − 1.69571i | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | −264.000 | −0.203368 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −1187.00 | −0.891811 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 3504.00i | 2.56866i | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 124.000i | 0.0866395i | 0.999061 | + | 0.0433198i | \(0.0137934\pi\) | ||||
−0.999061 | + | 0.0433198i | \(0.986207\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 256.000 | 0.174725 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −132.000 | −0.0880374 | −0.0440187 | − | 0.999031i | \(-0.514016\pi\) | ||||
−0.0440187 | + | 0.999031i | \(0.514016\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | − 400.000i | − 0.260785i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − 1254.00i | − 0.782018i | −0.920387 | − | 0.391009i | \(-0.872126\pi\) | ||||
0.920387 | − | 0.391009i | \(-0.127874\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −2860.00 | −1.74519 | −0.872597 | − | 0.488440i | \(-0.837566\pi\) | ||||
−0.872597 | + | 0.488440i | \(0.837566\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 1632.00 | 0.974746 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | − 696.000i | − 0.407010i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | − 2616.00i | − 1.46778i | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −750.000 | −0.412365 | −0.206183 | − | 0.978514i | \(-0.566104\pi\) | ||||
−0.206183 | + | 0.978514i | \(0.566104\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 448.000 | 0.241442 | 0.120721 | − | 0.992686i | \(-0.461479\pi\) | ||||
0.120721 | + | 0.992686i | \(0.461479\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | − 2442.00i | − 1.29035i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 2246.00i | 1.14172i | 0.821047 | + | 0.570861i | \(0.193390\pi\) | ||||
−0.821047 | + | 0.570861i | \(0.806610\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | −1776.00 | −0.885824 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −528.000 | −0.258461 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | − 568.000i | − 0.272940i | −0.990644 | − | 0.136470i | \(-0.956424\pi\) | ||||
0.990644 | − | 0.136470i | \(-0.0435757\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 1524.00i | 0.706172i | 0.935591 | + | 0.353086i | \(0.114868\pi\) | ||||
−0.935591 | + | 0.353086i | \(0.885132\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1167.00 | −0.531179 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 3700.00 | 1.65466 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | − 3702.00i | − 1.62692i | −0.581618 | − | 0.813462i | \(-0.697580\pi\) | ||||
0.581618 | − | 0.813462i | \(-0.302420\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − 3360.00i | − 1.42685i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 3180.00 | 1.32785 | 0.663923 | − | 0.747801i | \(-0.268890\pi\) | ||||
0.663923 | + | 0.747801i | \(0.268890\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2098.00 | −0.861564 | −0.430782 | − | 0.902456i | \(-0.641762\pi\) | ||||
−0.430782 | + | 0.902456i | \(0.641762\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | − 7216.00i | − 2.91487i | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | − 792.000i | − 0.309715i | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −320.000 | −0.123156 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −4392.00 | −1.66384 | −0.831921 | − | 0.554894i | \(-0.812759\pi\) | ||||
−0.831921 | + | 0.554894i | \(0.812759\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 2158.00i | 0.804851i | 0.915453 | + | 0.402425i | \(0.131833\pi\) | ||||
−0.915453 | + | 0.402425i | \(0.868167\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − 1074.00i | − 0.388423i | −0.980960 | − | 0.194212i | \(-0.937785\pi\) | ||||
0.980960 | − | 0.194212i | \(-0.0622148\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2840.00 | 1.01167 | 0.505835 | − | 0.862630i | \(-0.331185\pi\) | ||||
0.505835 | + | 0.862630i | \(0.331185\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 8192.00 | 2.87472 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 360.000i | 0.124468i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | − 4884.00i | − 1.63991i | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 1200.00 | 0.397157 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2668.00 | 0.870487 | 0.435243 | − | 0.900313i | \(-0.356662\pi\) | ||||
0.435243 | + | 0.900313i | \(0.356662\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 3456.00i | 1.11174i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | − 608.000i | − 0.190202i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | −2896.00 | −0.893578 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −3828.00 | −1.16515 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 1772.00i | 0.532116i | 0.963957 | + | 0.266058i | \(0.0857213\pi\) | ||||
−0.963957 | + | 0.266058i | \(0.914279\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 2784.00i | 0.814011i | 0.913426 | + | 0.407006i | \(0.133427\pi\) | ||||
−0.913426 | + | 0.407006i | \(0.866573\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −350.000 | −0.100998 | −0.0504992 | − | 0.998724i | \(-0.516081\pi\) | ||||
−0.0504992 | + | 0.998724i | \(0.516081\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −384.000 | −0.109374 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | − 1962.00i | − 0.551652i | −0.961208 | − | 0.275826i | \(-0.911049\pi\) | ||||
0.961208 | − | 0.275826i | \(-0.0889513\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 1280.00i | 0.350823i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −4320.00 | −1.16919 | −0.584597 | − | 0.811324i | \(-0.698748\pi\) | ||||
−0.584597 | + | 0.811324i | \(0.698748\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −478.000 | −0.127762 | −0.0638811 | − | 0.997958i | \(-0.520348\pi\) | ||||
−0.0638811 | + | 0.997958i | \(0.520348\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 5032.00i | 1.32841i | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | − 5800.00i | − 1.49411i | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 576.000 | 0.146596 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2652.00 | −0.666903 | −0.333452 | − | 0.942767i | \(-0.608213\pi\) | ||||
−0.333452 | + | 0.942767i | \(0.608213\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − 1584.00i | − 0.393617i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | − 2334.00i | − 0.566502i | −0.959046 | − | 0.283251i | \(-0.908587\pi\) | ||||
0.959046 | − | 0.283251i | \(-0.0914129\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 136.000 | 0.0326279 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3330.00 | −0.789739 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | − 3948.00i | − 0.925643i | −0.886451 | − | 0.462822i | \(-0.846837\pi\) | ||||
0.886451 | − | 0.462822i | \(-0.153163\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 6480.00i | 1.48528i | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −1590.00 | −0.360387 | −0.180193 | − | 0.983631i | \(-0.557672\pi\) | ||||
−0.180193 | + | 0.983631i | \(0.557672\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −4952.00 | −1.11001 | −0.555005 | − | 0.831847i | \(-0.687284\pi\) | ||||
−0.555005 | + | 0.831847i | \(0.687284\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 1856.00i | 0.411466i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1646.00i | 0.357034i | 0.983937 | + | 0.178517i | \(0.0571300\pi\) | ||||
−0.983937 | + | 0.178517i | \(0.942870\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 5624.00 | 1.20681 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −1158.00 | −0.245838 | −0.122919 | − | 0.992417i | \(-0.539226\pi\) | ||||
−0.122919 | + | 0.992417i | \(0.539226\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6992.00i | 1.46866i | 0.678792 | + | 0.734331i | \(0.262504\pi\) | ||||
−0.678792 | + | 0.734331i | \(0.737496\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − 1752.00i | − 0.360339i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 557.000 | 0.113373 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 8848.00 | 1.78240 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 258.000i | 0.0514421i | 0.999669 | + | 0.0257210i | \(0.00818816\pi\) | ||||
−0.999669 | + | 0.0257210i | \(0.991812\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | − 960.000i | − 0.187558i | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | −7656.00 | −1.48080 | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −128.000 | −0.0245110 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 2064.00i | 0.391332i | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 8944.00i | 1.66274i | 0.555720 | + | 0.831370i | \(0.312443\pi\) | ||||
−0.555720 | + | 0.831370i | \(0.687557\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | −7904.00 | −1.45515 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −1392.00 | −0.253804 | −0.126902 | − | 0.991915i | \(-0.540503\pi\) | ||||
−0.126902 | + | 0.991915i | \(0.540503\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 5878.00i | 1.06148i | 0.847534 | + | 0.530742i | \(0.178087\pi\) | ||||
−0.847534 | + | 0.530742i | \(0.821913\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 10326.0i | 1.82955i | 0.403969 | + | 0.914773i | \(0.367630\pi\) | ||||
−0.403969 | + | 0.914773i | \(0.632370\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −1080.00 | −0.189556 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 192.000 | 0.0333844 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | − 6600.00i | − 1.13695i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 7600.00i | 1.28526i | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −816.000 | −0.136740 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 4228.00 | 0.702090 | 0.351045 | − | 0.936359i | \(-0.385826\pi\) | ||||
0.351045 | + | 0.936359i | \(0.385826\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 1258.00i | 0.207021i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 1106.00i | 0.178776i | 0.995997 | + | 0.0893882i | \(0.0284912\pi\) | ||||
−0.995997 | + | 0.0893882i | \(0.971509\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 8304.00 | 1.33042 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 1824.00 | 0.289663 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 2680.00i | 0.421885i | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − 9336.00i | − 1.44433i | −0.691720 | − | 0.722165i | \(-0.743147\pi\) | ||||
0.691720 | − | 0.722165i | \(-0.256853\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 11770.0 | 1.80525 | 0.902627 | − | 0.430424i | \(-0.141636\pi\) | ||||
0.902627 | + | 0.430424i | \(0.141636\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −4640.00 | −0.705598 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − 8322.00i | − 1.25477i | −0.778707 | − | 0.627387i | \(-0.784124\pi\) | ||||
0.778707 | − | 0.627387i | \(-0.215876\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 2112.00i | 0.313106i | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 10680.0 | 1.57011 | 0.785054 | − | 0.619427i | \(-0.212635\pi\) | ||||
0.785054 | + | 0.619427i | \(0.212635\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 3141.00 | 0.457938 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 9496.00i | 1.37303i | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 5884.00i | 0.836900i | 0.908240 | + | 0.418450i | \(0.137426\pi\) | ||||
−0.908240 | + | 0.418450i | \(0.862574\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 16206.0 | 2.28632 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 888.000 | 0.124266 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 2098.00i | 0.291234i | 0.989341 | + | 0.145617i | \(0.0465167\pi\) | ||||
−0.989341 | + | 0.145617i | \(0.953483\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | 5220.00i | 0.713113i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 3860.00 | 0.523153 | 0.261576 | − | 0.965183i | \(-0.415758\pi\) | ||||
0.261576 | + | 0.965183i | \(0.415758\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 992.000 | 0.133390 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | − 9588.00i | − 1.27917i | −0.768718 | − | 0.639587i | \(-0.779105\pi\) | ||||
0.768718 | − | 0.639587i | \(-0.220895\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | − 1184.00i | − 0.155520i | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 13410.0 | 1.74785 | 0.873925 | − | 0.486060i | \(-0.161566\pi\) | ||||
0.873925 | + | 0.486060i | \(0.161566\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −8712.00 | −1.12682 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 1056.00i | 0.135542i | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | − 13114.0i | − 1.65787i | −0.559348 | − | 0.828933i | \(-0.688948\pi\) | ||||
0.559348 | − | 0.828933i | \(-0.311052\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | −3200.00 | −0.401505 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −5838.00 | −0.727022 | −0.363511 | − | 0.931590i | \(-0.618422\pi\) | ||||
−0.363511 | + | 0.931590i | \(0.618422\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | − 8816.00i | − 1.08972i | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 408.000i | 0.0496899i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −9530.00 | −1.15215 | −0.576074 | − | 0.817398i | \(-0.695416\pi\) | ||||
−0.576074 | + | 0.817398i | \(0.695416\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10032.0 | −1.20400 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 1680.00i | 0.200163i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 22880.0i | 2.68690i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 7260.00 | 0.846478 | 0.423239 | − | 0.906018i | \(-0.360893\pi\) | ||||
0.423239 | + | 0.906018i | \(0.360893\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 12062.0 | 1.39636 | 0.698178 | − | 0.715924i | \(-0.253994\pi\) | ||||
0.698178 | + | 0.715924i | \(0.253994\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | − 7548.00i | − 0.867604i | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 3608.00i | 0.408907i | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −5568.00 | −0.626633 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 13608.0 | 1.52082 | 0.760411 | − | 0.649442i | \(-0.224998\pi\) | ||||
0.760411 | + | 0.649442i | \(0.224998\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 3838.00i | 0.425964i | 0.977056 | + | 0.212982i | \(0.0683176\pi\) | ||||
−0.977056 | + | 0.212982i | \(0.931682\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − 13200.0i | − 1.44495i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 7400.00 | 0.804516 | 0.402258 | − | 0.915526i | \(-0.368225\pi\) | ||||
0.402258 | + | 0.915526i | \(0.368225\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −12099.0 | −1.30645 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 8352.00i | 0.895746i | 0.894097 | + | 0.447873i | \(0.147818\pi\) | ||||
−0.894097 | + | 0.447873i | \(0.852182\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 6000.00i | 0.634878i | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −10770.0 | −1.13200 | −0.566000 | − | 0.824405i | \(-0.691510\pi\) | ||||
−0.566000 | + | 0.824405i | \(0.691510\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 5256.00 | 0.548770 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | − 3584.00i | − 0.371724i | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − 6694.00i | − 0.685191i | −0.939483 | − | 0.342595i | \(-0.888694\pi\) | ||||
0.939483 | − | 0.342595i | \(-0.111306\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | −5280.00 | −0.536927 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −3018.00 | −0.304907 | −0.152454 | − | 0.988311i | \(-0.548717\pi\) | ||||
−0.152454 | + | 0.988311i | \(0.548717\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 14492.0i | 1.45464i | 0.686296 | + | 0.727322i | \(0.259235\pi\) | ||||
−0.686296 | + | 0.727322i | \(0.740765\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − 7776.00i | − 0.770515i | −0.922809 | − | 0.385257i | \(-0.874113\pi\) | ||||
0.922809 | − | 0.385257i | \(-0.125887\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −4096.00 | −0.403274 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 17968.0 | 1.75780 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − 384.000i | − 0.0373284i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 8214.00i | 0.788455i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | −13680.0 | −1.30492 | −0.652458 | − | 0.757825i | \(-0.726262\pi\) | ||||
−0.652458 | + | 0.757825i | \(0.726262\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1972.00 | 0.186934 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 4224.00i | 0.397927i | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | − 7916.00i | − 0.736567i | −0.929714 | − | 0.368284i | \(-0.879946\pi\) | ||||
0.929714 | − | 0.368284i | \(-0.120054\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −4544.00 | −0.420218 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −13932.0 | −1.28053 | −0.640267 | − | 0.768152i | \(-0.721176\pi\) | ||||
−0.640267 | + | 0.768152i | \(0.721176\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 5940.00i | 0.542645i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | − 1728.00i | − 0.155959i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −8260.00 | −0.741019 | −0.370509 | − | 0.928829i | \(-0.620817\pi\) | ||||
−0.370509 | + | 0.928829i | \(0.620817\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 12192.0 | 1.08722 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − 11148.0i | − 0.988200i | −0.869405 | − | 0.494100i | \(-0.835498\pi\) | ||||
0.869405 | − | 0.494100i | \(-0.164502\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 9336.00i | 0.817803i | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 9690.00 | 0.843815 | 0.421907 | − | 0.906639i | \(-0.361361\pi\) | ||||
0.421907 | + | 0.906639i | \(0.361361\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 1448.00 | 0.125354 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | − 8000.00i | − 0.688516i | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − 2448.00i | − 0.208245i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | −29616.0 | −2.50481 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −16038.0 | −1.34863 | −0.674316 | − | 0.738443i | \(-0.735562\pi\) | ||||
−0.674316 | + | 0.738443i | \(0.735562\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 992.000i | 0.0829391i | 0.999140 | + | 0.0414695i | \(0.0132039\pi\) | ||||
−0.999140 | + | 0.0414695i | \(0.986796\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − 10032.0i | − 0.829223i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −5257.00 | −0.432070 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −15540.0 | −1.27002 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − 25404.0i | − 2.06448i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | − 25440.0i | − 2.04435i | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | −3924.00 | −0.313578 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 7142.00 | 0.567576 | 0.283788 | − | 0.958887i | \(-0.408409\pi\) | ||||
0.283788 | + | 0.958887i | \(0.408409\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 16784.0i | 1.32646i | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | − 7616.00i | − 0.595314i | −0.954673 | − | 0.297657i | \(-0.903795\pi\) | ||||
0.954673 | − | 0.297657i | \(-0.0962051\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | −33374.0 | −2.59448 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −9000.00 | −0.695849 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − 640.000i | − 0.0492144i | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | − 10314.0i | − 0.784593i | −0.919839 | − | 0.392296i | \(-0.871681\pi\) | ||||
0.919839 | − | 0.392296i | \(-0.128319\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −1856.00 | −0.140430 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −6336.00 | −0.476838 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | − 7128.00i | − 0.533587i | −0.963754 | − | 0.266793i | \(-0.914036\pi\) | ||||
0.963754 | − | 0.266793i | \(-0.0859641\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | − 1436.00i | − 0.106360i | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | −2010.00 | −0.148091 | −0.0740453 | − | 0.997255i | \(-0.523591\pi\) | ||||
−0.0740453 | + | 0.997255i | \(0.523591\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 23188.0 | 1.69945 | 0.849726 | − | 0.527224i | \(-0.176767\pi\) | ||||
0.849726 | + | 0.527224i | \(0.176767\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 35136.0i | 2.56165i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 22466.0i | 1.62092i | 0.585793 | + | 0.810461i | \(0.300783\pi\) | ||||
−0.585793 | + | 0.810461i | \(0.699217\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 17264.0 | 1.23915 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −288.000 | −0.0205650 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 2664.00i | 0.189248i | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | − 22776.0i | − 1.60148i | −0.599015 | − | 0.800738i | \(-0.704441\pi\) | ||||
0.599015 | − | 0.800738i | \(-0.295559\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 15200.0 | 1.06334 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −8592.00 | −0.598016 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 21198.0i | 1.46796i | 0.679174 | + | 0.733978i | \(0.262338\pi\) | ||||
−0.679174 | + | 0.733978i | \(0.737662\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | − 22720.0i | − 1.55757i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 15960.0 | 1.08866 | 0.544330 | − | 0.838871i | \(-0.316784\pi\) | ||||
0.544330 | + | 0.838871i | \(0.316784\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5882.00 | 0.399221 | 0.199610 | − | 0.979875i | \(-0.436032\pi\) | ||||
0.199610 | + | 0.979875i | \(0.436032\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | − 37888.0i | − 2.55874i | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | − 8516.00i | − 0.569446i | −0.958610 | − | 0.284723i | \(-0.908098\pi\) | ||||
0.958610 | − | 0.284723i | \(-0.0919016\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 2880.00 | 0.191631 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −11832.0 | −0.783423 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − 8462.00i | − 0.557548i | −0.960357 | − | 0.278774i | \(-0.910072\pi\) | ||||
0.960357 | − | 0.278774i | \(-0.0899280\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − 11094.0i | − 0.723870i | −0.932203 | − | 0.361935i | \(-0.882116\pi\) | ||||
0.932203 | − | 0.361935i | \(-0.117884\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 2180.00 | 0.141553 | 0.0707767 | − | 0.997492i | \(-0.477452\pi\) | ||||
0.0707767 | + | 0.997492i | \(0.477452\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | −10560.0 | −0.682380 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | − 3240.00i | − 0.208359i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | − 9600.00i | − 0.611463i | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 2244.00 | 0.142248 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 26848.0 | 1.69382 | 0.846911 | − | 0.531734i | \(-0.178459\pi\) | ||||
0.846911 | + | 0.531734i | \(0.178459\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | − 21344.0i | − 1.34020i | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 18966.0i | 1.17969i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 15984.0 | 0.989542 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 26322.0 | 1.62193 | 0.810965 | − | 0.585095i | \(-0.198943\pi\) | ||||
0.810965 | + | 0.585095i | \(0.198943\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | − 10168.0i | − 0.623619i | −0.950145 | − | 0.311809i | \(-0.899065\pi\) | ||||
0.950145 | − | 0.311809i | \(-0.100935\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 23604.0i | 1.43426i | 0.696937 | + | 0.717132i | \(0.254546\pi\) | ||||
−0.696937 | + | 0.717132i | \(0.745454\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −5040.00 | −0.304834 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −4864.00 | −0.292834 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | − 16422.0i | − 0.984139i | −0.870556 | − | 0.492069i | \(-0.836241\pi\) | ||||
0.870556 | − | 0.492069i | \(-0.163759\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 13394.0i | 0.795357i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | −26100.0 | −1.54281 | −0.771405 | − | 0.636345i | \(-0.780446\pi\) | ||||
−0.771405 | + | 0.636345i | \(0.780446\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3058.00 | −0.179943 | −0.0899716 | − | 0.995944i | \(-0.528678\pi\) | ||||
−0.0899716 | + | 0.995944i | \(0.528678\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 30624.0i | 1.79387i | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 11880.0i | 0.689648i | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 14176.0 | 0.819246 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −10824.0 | −0.622736 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | − 10802.0i | − 0.618702i | −0.950948 | − | 0.309351i | \(-0.899888\pi\) | ||||
0.950948 | − | 0.309351i | \(-0.100112\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − 10674.0i | − 0.605960i | −0.952997 | − | 0.302980i | \(-0.902018\pi\) | ||||
0.952997 | − | 0.302980i | \(-0.0979816\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −4424.00 | −0.250041 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 22272.0 | 1.25325 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | − 28608.0i | − 1.60272i | −0.598185 | − | 0.801358i | \(-0.704111\pi\) | ||||
0.598185 | − | 0.801358i | \(-0.295889\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 2800.00i | 0.155497i | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 12876.0 | 0.711954 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 2428.00 | 0.133669 | 0.0668346 | − | 0.997764i | \(-0.478710\pi\) | ||||
0.0668346 | + | 0.997764i | \(0.478710\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 1776.00i | 0.0973516i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | − 28908.0i | − 1.57097i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | −15696.0 | −0.849324 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −6618.00 | −0.356574 | −0.178287 | − | 0.983979i | \(-0.557056\pi\) | ||||
−0.178287 | + | 0.983979i | \(0.557056\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 3400.00i | 0.182409i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | − 1032.00i | − 0.0548972i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −20510.0 | −1.08642 | −0.543208 | − | 0.839598i | \(-0.682791\pi\) | ||||
−0.543208 | + | 0.839598i | \(0.682791\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 5920.00 | 0.312261 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | − 20064.0i | − 1.05386i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 34560.0i | 1.80009i | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 31680.0 | 1.64321 | 0.821603 | − | 0.570061i | \(-0.193080\pi\) | ||||
0.821603 | + | 0.570061i | \(0.193080\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 3952.00 | 0.204133 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 3824.00i | 0.196703i | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | − 13196.0i | − 0.673195i | −0.941649 | − | 0.336597i | \(-0.890724\pi\) | ||||
0.941649 | − | 0.336597i | \(-0.109276\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 30563.0 | 1.55276 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −2112.00 | −0.106861 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − 8102.00i | − 0.408259i | −0.978944 | − | 0.204130i | \(-0.934564\pi\) | ||||
0.978944 | − | 0.204130i | \(-0.0654364\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − 12288.0i | − 0.614158i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −12580.0 | −0.626201 | −0.313101 | − | 0.949720i | \(-0.601368\pi\) | ||||
−0.313101 | + | 0.949720i | \(0.601368\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −46400.0 | −2.30033 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 29892.0i | 1.47595i | 0.674828 | + | 0.737975i | \(0.264218\pi\) | ||||
−0.674828 | + | 0.737975i | \(0.735782\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | − 2664.00i | − 0.130483i | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −96.0000 | −0.00468326 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 40408.0 | 1.96339 | 0.981697 | − | 0.190450i | \(-0.0609946\pi\) | ||||
0.981697 | + | 0.190450i | \(0.0609946\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 21216.0i | 1.02676i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 32366.0i | 1.55398i | 0.629513 | + | 0.776990i | \(0.283254\pi\) | ||||
−0.629513 | + | 0.776990i | \(0.716746\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | −12672.0 | −0.606014 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −17238.0 | −0.821126 | −0.410563 | − | 0.911832i | \(-0.634668\pi\) | ||||
−0.410563 | + | 0.911832i | \(0.634668\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | − 3800.00i | − 0.180300i | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 24360.0i | 1.14679i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −10850.0 | −0.508792 | −0.254396 | − | 0.967100i | \(-0.581877\pi\) | ||||
−0.254396 | + | 0.967100i | \(0.581877\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −18672.0 | −0.872186 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − 9102.00i | − 0.423514i | −0.977322 | − | 0.211757i | \(-0.932081\pi\) | ||||
0.977322 | − | 0.211757i | \(-0.0679185\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | − 1088.00i | − 0.0502340i | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | 43800.0 | 2.01450 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 5184.00 | 0.237514 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 7200.00i | 0.328617i | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 25504.0i | 1.15517i | 0.816330 | + | 0.577585i | \(0.196005\pi\) | ||||
−0.816330 | + | 0.577585i | \(0.803995\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | −31584.0 | −1.42512 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −4152.00 | −0.186635 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 52316.0i | 2.34274i | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 14166.0i | 0.629593i | 0.949159 | + | 0.314796i | \(0.101936\pi\) | ||||
−0.949159 | + | 0.314796i | \(0.898064\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −13464.0 | −0.596148 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 29970.0 | 1.32202 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4344.00i | 0.190905i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 12720.0i | 0.554852i | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −33210.0 | −1.44327 | −0.721633 | − | 0.692276i | \(-0.756608\pi\) | ||||
−0.721633 | + | 0.692276i | \(0.756608\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −39212.0 | −1.69780 | −0.848902 | − | 0.528550i | \(-0.822736\pi\) | ||||
−0.848902 | + | 0.528550i | \(0.822736\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 39616.0i | 1.70897i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − 3200.00i | − 0.137030i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 8584.00 | 0.366238 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6222.00 | 0.264494 | 0.132247 | − | 0.991217i | \(-0.457781\pi\) | ||||
0.132247 | + | 0.991217i | \(0.457781\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 31172.0i | 1.32028i | 0.751144 | + | 0.660138i | \(0.229502\pi\) | ||||
−0.751144 | + | 0.660138i | \(0.770498\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 264.000i | 0.0111006i | 0.999985 | + | 0.00555029i | \(0.00176672\pi\) | ||||
−0.999985 | + | 0.00555029i | \(0.998233\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 29050.0 | 1.21707 | 0.608533 | − | 0.793528i | \(-0.291758\pi\) | ||||
0.608533 | + | 0.793528i | \(0.291758\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 13168.0 | 0.549691 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 21582.0i | 0.897685i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − 12160.0i | − 0.502164i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | −21720.0 | −0.893752 | −0.446876 | − | 0.894596i | \(-0.647463\pi\) | ||||
−0.446876 | + | 0.894596i | \(0.647463\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −16289.0 | −0.667883 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 9264.00i | 0.378492i | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | − 4748.00i | − 0.192613i | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 55936.0 | 2.26115 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 4488.00 | 0.180783 | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6658.00i | 0.267252i | 0.991032 | + | 0.133626i | \(0.0426620\pi\) | ||||
−0.991032 | + | 0.133626i | \(0.957338\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | − 13974.0i | − 0.556993i | −0.960437 | − | 0.278496i | \(-0.910164\pi\) | ||||
0.960437 | − | 0.278496i | \(-0.0898360\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 23780.0 | 0.944544 | 0.472272 | − | 0.881453i | \(-0.343434\pi\) | ||||
0.472272 | + | 0.881453i | \(0.343434\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −14016.0 | −0.554778 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − 12228.0i | − 0.482324i | −0.970485 | − | 0.241162i | \(-0.922471\pi\) | ||||
0.970485 | − | 0.241162i | \(-0.0775286\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | − 4456.00i | − 0.174549i | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 1920.00 | 0.0749500 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −59392.0 | −2.31047 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | − 40922.0i | − 1.58648i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 11606.0i | 0.446872i | 0.974719 | + | 0.223436i | \(0.0717274\pi\) | ||||
−0.974719 | + | 0.223436i | \(0.928273\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 2064.00 | 0.0792002 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −32958.0 | −1.26037 | −0.630183 | − | 0.776446i | \(-0.717020\pi\) | ||||
−0.630183 | + | 0.776446i | \(0.717020\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 8072.00i | 0.307638i | 0.988099 | + | 0.153819i | \(0.0491573\pi\) | ||||
−0.988099 | + | 0.153819i | \(0.950843\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | − 15756.0i | − 0.596431i | −0.954498 | − | 0.298216i | \(-0.903609\pi\) | ||||
0.954498 | − | 0.298216i | \(-0.0963915\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −496.000 | −0.0187124 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 4308.00 | 0.161979 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | − 20400.0i | − 0.764457i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 61248.0i | 2.27983i | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −13680.0 | −0.507512 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 14652.0 | 0.541763 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 1024.00i | 0.0377371i | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | − 18776.0i | − 0.687372i | −0.939085 | − | 0.343686i | \(-0.888324\pi\) | ||||
0.939085 | − | 0.343686i | \(-0.111676\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 9546.00 | 0.348318 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 20568.0 | 0.748022 | 0.374011 | − | 0.927424i | \(-0.377982\pi\) | ||||
0.374011 | + | 0.927424i | \(0.377982\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | − 864.000i | − 0.0313190i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − 528.000i | − 0.0190143i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −6280.00 | −0.225417 | −0.112708 | − | 0.993628i | \(-0.535953\pi\) | ||||
−0.112708 | + | 0.993628i | \(0.535953\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 71552.0 | 2.55996 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | − 25056.0i | − 0.893530i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 36556.0i | 1.29521i | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | 20430.0 | 0.721514 | 0.360757 | − | 0.932660i | \(-0.382518\pi\) | ||||
0.360757 | + | 0.932660i | \(0.382518\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −32700.0 | −1.15113 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 11136.0i | 0.390757i | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 8906.00i | 0.310508i | 0.987875 | + | 0.155254i | \(0.0496197\pi\) | ||||
−0.987875 | + | 0.155254i | \(0.950380\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 47024.0 | 1.63426 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −17418.0 | −0.603412 | −0.301706 | − | 0.953401i | \(-0.597556\pi\) | ||||
−0.301706 | + | 0.953401i | \(0.597556\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | − 57816.0i | − 1.99655i | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 2544.00i | 0.0872956i | 0.999047 | + | 0.0436478i | \(0.0138979\pi\) | ||||
−0.999047 | + | 0.0436478i | \(0.986102\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 20996.0 | 0.718187 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 82608.0 | 2.81677 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | − 15402.0i | − 0.523525i | −0.965132 | − | 0.261763i | \(-0.915696\pi\) | ||||
0.965132 | − | 0.261763i | \(-0.0843038\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 8640.00i | 0.291841i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 5016.00 | 0.168900 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −6687.00 | −0.224464 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | − 888.000i | − 0.0297148i | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 49444.0i | 1.64427i | 0.569291 | + | 0.822136i | \(0.307218\pi\) | ||||
−0.569291 | + | 0.822136i | \(0.692782\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −52800.0 | −1.75044 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 25188.0 | 0.832463 | 0.416231 | − | 0.909259i | \(-0.363351\pi\) | ||||
0.416231 | + | 0.909259i | \(0.363351\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | − 11440.0i | − 0.376927i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 2946.00i | 0.0964697i | 0.998836 | + | 0.0482348i | \(0.0153596\pi\) | ||||
−0.998836 | + | 0.0482348i | \(0.984640\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 9720.00 | 0.317316 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 35150.0 | 1.14399 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 15012.0i | 0.487089i | 0.969890 | + | 0.243544i | \(0.0783102\pi\) | ||||
−0.969890 | + | 0.243544i | \(0.921690\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 6528.00i | 0.210525i | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | −4224.00 | −0.135809 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 5128.00 | 0.164376 | 0.0821878 | − | 0.996617i | \(-0.473809\pi\) | ||||
0.0821878 | + | 0.996617i | \(0.473809\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | − 33824.0i | − 1.08094i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − 49714.0i | − 1.57920i | −0.613625 | − | 0.789598i | \(-0.710289\pi\) | ||||
0.613625 | − | 0.789598i | \(-0.289711\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 2720.00 | 0.0861431 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))