Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1296,3,Mod(161,1296)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1296, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([0, 0, 1]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("1296.161");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1296 = 2^{4} \cdot 3^{4} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1296.e (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: | \(35.3134422611\) |
Analytic rank: | \(0\) |
Dimension: | \(4\) |
Coefficient field: | \(\Q(\sqrt{-3}, \sqrt{-11})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{4} - x^{3} - 2x^{2} - 3x + 9 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{11}]\) |
Coefficient ring index: | \( 2^{2}\cdot 3^{4} \) |
Twist minimal: | no (minimal twist has level 36) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 161.4 | ||
Root | \(-1.18614 - 1.26217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1296.161 |
Dual form | 1296.3.e.e.161.1 |
$q$-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 \(\left(\mathbb{Z}/1296\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(1135\) | \(1217\) |
\(\chi(n)\) | \(1\) | \(1\) | \(-1\) |
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 | ||||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 7.57301i | 1.51460i | 0.653066 | + | 0.757301i | \(0.273483\pi\) | ||||
−0.653066 | + | 0.757301i | \(0.726517\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −9.11684 | −1.30241 | −0.651203 | − | 0.758903i | \(-0.725735\pi\) | ||||
−0.651203 | + | 0.758903i | \(0.725735\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | − 0.442430i | − 0.0402210i | −0.999798 | − | 0.0201105i | \(-0.993598\pi\) | ||||
0.999798 | − | 0.0201105i | \(-0.00640179\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −11.1168 | −0.855142 | −0.427571 | − | 0.903982i | \(-0.640631\pi\) | ||||
−0.427571 | + | 0.903982i | \(0.640631\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | 8.01544i | 0.471497i | 0.971814 | + | 0.235748i | \(0.0757541\pi\) | ||||
−0.971814 | + | 0.235748i | \(0.924246\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 8.11684 | 0.427202 | 0.213601 | − | 0.976921i | \(-0.431481\pi\) | ||||
0.213601 | + | 0.976921i | \(0.431481\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | − 23.6039i | − 1.02626i | −0.858312 | − | 0.513128i | \(-0.828487\pi\) | ||||
0.858312 | − | 0.513128i | \(-0.171513\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −32.3505 | −1.29402 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 53.0111i | 1.82797i | 0.405749 | + | 0.913984i | \(0.367011\pi\) | ||||
−0.405749 | + | 0.913984i | \(0.632989\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −29.3505 | −0.946791 | −0.473396 | − | 0.880850i | \(-0.656972\pi\) | ||||
−0.473396 | + | 0.880850i | \(0.656972\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | − 69.0420i | − 1.97263i | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 18.4674 | 0.499118 | 0.249559 | − | 0.968360i | \(-0.419714\pi\) | ||||
0.249559 | + | 0.968360i | \(0.419714\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − 44.9956i | − 1.09745i | −0.836001 | − | 0.548727i | \(-0.815112\pi\) | ||||
0.836001 | − | 0.548727i | \(-0.184888\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −23.0000 | −0.534884 | −0.267442 | − | 0.963574i | \(-0.586178\pi\) | ||||
−0.267442 | + | 0.963574i | \(0.586178\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | − 8.45787i | − 0.179955i | −0.995944 | − | 0.0899774i | \(-0.971321\pi\) | ||||
0.995944 | − | 0.0899774i | \(-0.0286795\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 34.1168 | 0.696262 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | − 60.5841i | − 1.14310i | −0.820569 | − | 0.571548i | \(-0.806343\pi\) | ||||
0.820569 | − | 0.571548i | \(-0.193657\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.35053 | 0.0609188 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | − 76.1726i | − 1.29106i | −0.763735 | − | 0.645530i | \(-0.776636\pi\) | ||||
0.763735 | − | 0.645530i | \(-0.223364\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 5.35053 | 0.0877136 | 0.0438568 | − | 0.999038i | \(-0.486035\pi\) | ||||
0.0438568 | + | 0.999038i | \(0.486035\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | − 84.1880i | − 1.29520i | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 109.701 | 1.63733 | 0.818665 | − | 0.574272i | \(-0.194715\pi\) | ||||
0.818665 | + | 0.574272i | \(0.194715\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 16.0309i | 0.225787i | 0.993607 | + | 0.112894i | \(0.0360119\pi\) | ||||
−0.993607 | + | 0.112894i | \(0.963988\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.35053 | −0.0595963 | −0.0297982 | − | 0.999556i | \(-0.509486\pi\) | ||||
−0.0297982 | + | 0.999556i | \(0.509486\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 4.03357i | 0.0523840i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.58422 | −0.0200534 | −0.0100267 | − | 0.999950i | \(-0.503192\pi\) | ||||
−0.0100267 | + | 0.999950i | \(0.503192\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | − 8.45787i | − 0.101902i | −0.998701 | − | 0.0509511i | \(-0.983775\pi\) | ||||
0.998701 | − | 0.0509511i | \(-0.0162252\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −60.7011 | −0.714130 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | − 64.1236i | − 0.720489i | −0.932858 | − | 0.360245i | \(-0.882693\pi\) | ||||
0.932858 | − | 0.360245i | \(-0.117307\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 101.351 | 1.11374 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 61.4690i | 0.647042i | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 115.234 | 1.18798 | 0.593988 | − | 0.804474i | \(-0.297553\pi\) | ||||
0.593988 | + | 0.804474i | \(0.297553\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | − 132.281i | − 1.30971i | −0.755755 | − | 0.654855i | \(-0.772730\pi\) | ||||
0.755755 | − | 0.654855i | \(-0.227270\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −125.351 | −1.21700 | −0.608498 | − | 0.793556i | \(-0.708228\pi\) | ||||
−0.608498 | + | 0.793556i | \(0.708228\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 36.5378i | 0.341475i | 0.985317 | + | 0.170737i | \(0.0546149\pi\) | ||||
−0.985317 | + | 0.170737i | \(0.945385\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 134.701 | 1.23579 | 0.617895 | − | 0.786261i | \(-0.287986\pi\) | ||||
0.617895 | + | 0.786261i | \(0.287986\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | − 190.210i | − 1.68328i | −0.540042 | − | 0.841638i | \(-0.681592\pi\) | ||||
0.540042 | − | 0.841638i | \(-0.318408\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 178.753 | 1.55437 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | − 73.0756i | − 0.614080i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 120.804 | 0.998382 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | − 55.6657i | − 0.445325i | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −184.103 | −1.44963 | −0.724816 | − | 0.688943i | \(-0.758075\pi\) | ||||
−0.724816 | + | 0.688943i | \(0.758075\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 126.087i | 0.962493i | 0.876585 | + | 0.481247i | \(0.159816\pi\) | ||||
−0.876585 | + | 0.481247i | \(0.840184\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −74.0000 | −0.556391 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − 124.265i | − 0.907045i | −0.891245 | − | 0.453523i | \(-0.850167\pi\) | ||||
0.891245 | − | 0.453523i | \(-0.149833\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −26.7663 | −0.192563 | −0.0962817 | − | 0.995354i | \(-0.530695\pi\) | ||||
−0.0962817 | + | 0.995354i | \(0.530695\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 4.91843i | 0.0343946i | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −401.454 | −2.76865 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 80.6486i | 0.541266i | 0.962683 | + | 0.270633i | \(0.0872329\pi\) | ||||
−0.962683 | + | 0.270633i | \(0.912767\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −99.9484 | −0.661910 | −0.330955 | − | 0.943647i | \(-0.607371\pi\) | ||||
−0.330955 | + | 0.943647i | \(0.607371\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | − 222.272i | − 1.43401i | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −69.4537 | −0.442380 | −0.221190 | − | 0.975231i | \(-0.570994\pi\) | ||||
−0.221190 | + | 0.975231i | \(0.570994\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 215.193i | 1.33660i | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −162.467 | −0.996732 | −0.498366 | − | 0.866967i | \(-0.666066\pi\) | ||||
−0.498366 | + | 0.866967i | \(0.666066\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | − 96.6795i | − 0.578919i | −0.957190 | − | 0.289459i | \(-0.906524\pi\) | ||||
0.957190 | − | 0.289459i | \(-0.0934755\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −45.4158 | −0.268732 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 28.0282i | 0.162013i | 0.996714 | + | 0.0810064i | \(0.0258134\pi\) | ||||
−0.996714 | + | 0.0810064i | \(0.974187\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 294.935 | 1.68534 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − 35.6012i | − 0.198889i | −0.995043 | − | 0.0994447i | \(-0.968293\pi\) | ||||
0.995043 | − | 0.0994447i | \(-0.0317067\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −19.6358 | −0.108485 | −0.0542426 | − | 0.998528i | \(-0.517274\pi\) | ||||
−0.0542426 | + | 0.998528i | \(0.517274\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 139.854i | 0.755966i | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.54628 | 0.0189640 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 217.848i | 1.14056i | 0.821449 | + | 0.570282i | \(0.193166\pi\) | ||||
−0.821449 | + | 0.570282i | \(0.806834\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −49.0000 | −0.253886 | −0.126943 | − | 0.991910i | \(-0.540517\pi\) | ||||
−0.126943 | + | 0.991910i | \(0.540517\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − 359.965i | − 1.82723i | −0.406575 | − | 0.913617i | \(-0.633277\pi\) | ||||
0.406575 | − | 0.913617i | \(-0.366723\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 61.0652 | 0.306861 | 0.153430 | − | 0.988159i | \(-0.450968\pi\) | ||||
0.153430 | + | 0.988159i | \(0.450968\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | − 483.294i | − 2.38076i | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 340.753 | 1.66221 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | − 3.59114i | − 0.0171825i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −386.986 | −1.83406 | −0.917029 | − | 0.398820i | \(-0.869420\pi\) | ||||
−0.917029 | + | 0.398820i | \(0.869420\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | − 174.179i | − 0.810136i | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 267.584 | 1.23311 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | − 89.1064i | − 0.403197i | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −102.753 | −0.460774 | −0.230387 | − | 0.973099i | \(-0.573999\pi\) | ||||
−0.230387 | + | 0.973099i | \(0.573999\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | − 338.964i | − 1.49323i | −0.665254 | − | 0.746617i | \(-0.731677\pi\) | ||||
0.665254 | − | 0.746617i | \(-0.268323\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −296.753 | −1.29586 | −0.647932 | − | 0.761699i | \(-0.724366\pi\) | ||||
−0.647932 | + | 0.761699i | \(0.724366\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 346.537i | 1.48728i | 0.668578 | + | 0.743642i | \(0.266903\pi\) | ||||
−0.668578 | + | 0.743642i | \(0.733097\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 64.0516 | 0.272560 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 161.688i | 0.676518i | 0.941053 | + | 0.338259i | \(0.109838\pi\) | ||||
−0.941053 | + | 0.338259i | \(0.890162\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −324.739 | −1.34746 | −0.673732 | − | 0.738975i | \(-0.735310\pi\) | ||||
−0.673732 | + | 0.738975i | \(0.735310\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 258.367i | 1.05456i | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −90.2337 | −0.365319 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − 384.012i | − 1.52993i | −0.644074 | − | 0.764963i | \(-0.722757\pi\) | ||||
0.644074 | − | 0.764963i | \(-0.277243\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −10.4431 | −0.0412770 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | − 12.9339i | − 0.0503264i | −0.999683 | − | 0.0251632i | \(-0.991989\pi\) | ||||
0.999683 | − | 0.0251632i | \(-0.00801053\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −168.364 | −0.650055 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | − 49.4716i | − 0.188105i | −0.995567 | − | 0.0940526i | \(-0.970018\pi\) | ||||
0.995567 | − | 0.0940526i | \(-0.0299822\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 458.804 | 1.73134 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | − 21.4434i | − 0.0797154i | −0.999205 | − | 0.0398577i | \(-0.987310\pi\) | ||||
0.999205 | − | 0.0398577i | \(-0.0126905\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 326.907 | 1.20630 | 0.603150 | − | 0.797628i | \(-0.293912\pi\) | ||||
0.603150 | + | 0.797628i | \(0.293912\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 14.3129i | 0.0520468i | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −477.454 | −1.72366 | −0.861830 | − | 0.507198i | \(-0.830681\pi\) | ||||
−0.861830 | + | 0.507198i | \(0.830681\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | 119.008i | 0.423515i | 0.977322 | + | 0.211758i | \(0.0679187\pi\) | ||||
−0.977322 | + | 0.211758i | \(0.932081\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 391.351 | 1.38286 | 0.691432 | − | 0.722442i | \(-0.256980\pi\) | ||||
0.691432 | + | 0.722442i | \(0.256980\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 410.218i | 1.42933i | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 224.753 | 0.777691 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 71.6966i | 0.244698i | 0.992487 | + | 0.122349i | \(0.0390427\pi\) | ||||
−0.992487 | + | 0.122349i | \(0.960957\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 576.856 | 1.95544 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 262.401i | 0.877595i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 209.687 | 0.696636 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 40.5196i | 0.132851i | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 172.351 | 0.561402 | 0.280701 | − | 0.959795i | \(-0.409433\pi\) | ||||
0.280701 | + | 0.959795i | \(0.409433\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 605.347i | 1.94645i | 0.229848 | + | 0.973227i | \(0.426177\pi\) | ||||
−0.229848 | + | 0.973227i | \(0.573823\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 327.467 | 1.04622 | 0.523111 | − | 0.852265i | \(-0.324771\pi\) | ||||
0.523111 | + | 0.852265i | \(0.324771\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 69.0420i | 0.217798i | 0.994053 | + | 0.108899i | \(0.0347325\pi\) | ||||
−0.994053 | + | 0.108899i | \(0.965267\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 23.4537 | 0.0735226 | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 65.0601i | 0.201424i | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 359.636 | 1.10657 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 77.1091i | 0.234374i | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −509.791 | −1.54015 | −0.770076 | − | 0.637952i | \(-0.779782\pi\) | ||||
−0.770076 | + | 0.637952i | \(0.779782\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 830.768i | 2.47990i | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −337.440 | −1.00131 | −0.500653 | − | 0.865648i | \(-0.666907\pi\) | ||||
−0.500653 | + | 0.865648i | \(0.666907\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 12.9856i | 0.0380808i | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 135.687 | 0.395590 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | − 215.245i | − 0.620302i | −0.950687 | − | 0.310151i | \(-0.899620\pi\) | ||||
0.950687 | − | 0.310151i | \(-0.100380\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 362.024 | 1.03732 | 0.518659 | − | 0.854981i | \(-0.326431\pi\) | ||||
0.518659 | + | 0.854981i | \(0.326431\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | 584.840i | 1.65677i | 0.560159 | + | 0.828385i | \(0.310740\pi\) | ||||
−0.560159 | + | 0.828385i | \(0.689260\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −121.402 | −0.341978 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 393.693i | 1.09664i | 0.836269 | + | 0.548319i | \(0.184732\pi\) | ||||
−0.836269 | + | 0.548319i | \(0.815268\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −295.117 | −0.817498 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | − 32.9466i | − 0.0902648i | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −380.856 | −1.03775 | −0.518877 | − | 0.854849i | \(-0.673650\pi\) | ||||
−0.518877 | + | 0.854849i | \(0.673650\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 552.336i | 1.48878i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 132.883 | 0.356255 | 0.178128 | − | 0.984007i | \(-0.442996\pi\) | ||||
0.178128 | + | 0.984007i | \(0.442996\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − 589.316i | − 1.56317i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −507.622 | −1.33937 | −0.669686 | − | 0.742644i | \(-0.733571\pi\) | ||||
−0.669686 | + | 0.742644i | \(0.733571\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | − 331.937i | − 0.866676i | −0.901231 | − | 0.433338i | \(-0.857336\pi\) | ||||
0.901231 | − | 0.433338i | \(-0.142664\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −30.5463 | −0.0793410 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | − 342.555i | − 0.880605i | −0.897850 | − | 0.440302i | \(-0.854871\pi\) | ||||
0.897850 | − | 0.440302i | \(-0.145129\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 189.196 | 0.483877 | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | − 11.9973i | − 0.0303730i | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −24.8043 | −0.0624792 | −0.0312396 | − | 0.999512i | \(-0.509945\pi\) | ||||
−0.0312396 | + | 0.999512i | \(0.509945\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 60.1417i | 0.149979i | 0.997184 | + | 0.0749896i | \(0.0238924\pi\) | ||||
−0.997184 | + | 0.0749896i | \(0.976108\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 326.285 | 0.809641 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | − 8.17053i | − 0.0200750i | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −481.440 | −1.17712 | −0.588558 | − | 0.808455i | \(-0.700304\pi\) | ||||
−0.588558 | + | 0.808455i | \(0.700304\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 694.453i | 1.68149i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 64.0516 | 0.154341 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 553.715i | 1.32152i | 0.750599 | + | 0.660758i | \(0.229765\pi\) | ||||
−0.750599 | + | 0.660758i | \(0.770235\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −381.894 | −0.907111 | −0.453556 | − | 0.891228i | \(-0.649845\pi\) | ||||
−0.453556 | + | 0.891228i | \(0.649845\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | − 259.304i | − 0.610127i | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −48.7800 | −0.114239 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 821.321i | 1.90562i | 0.303570 | + | 0.952809i | \(0.401821\pi\) | ||||
−0.303570 | + | 0.952809i | \(0.598179\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −199.155 | −0.459942 | −0.229971 | − | 0.973198i | \(-0.573863\pi\) | ||||
−0.229971 | + | 0.973198i | \(0.573863\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − 191.589i | − 0.438419i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 481.660 | 1.09718 | 0.548588 | − | 0.836093i | \(-0.315166\pi\) | ||||
0.548588 | + | 0.836093i | \(0.315166\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | − 540.287i | − 1.21961i | −0.792552 | − | 0.609805i | \(-0.791248\pi\) | ||||
0.792552 | − | 0.609805i | \(-0.208752\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 485.609 | 1.09126 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | − 300.318i | − 0.668859i | −0.942421 | − | 0.334429i | \(-0.891456\pi\) | ||||
0.942421 | − | 0.334429i | \(-0.108544\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −19.9074 | −0.0441407 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 767.529i | 1.68688i | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 155.701 | 0.340703 | 0.170351 | − | 0.985383i | \(-0.445510\pi\) | ||||
0.170351 | + | 0.985383i | \(0.445510\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | − 301.542i | − 0.654103i | −0.945006 | − | 0.327052i | \(-0.893945\pi\) | ||||
0.945006 | − | 0.327052i | \(-0.106055\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −238.780 | −0.515723 | −0.257862 | − | 0.966182i | \(-0.583018\pi\) | ||||
−0.257862 | + | 0.966182i | \(0.583018\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | − 423.152i | − 0.906107i | −0.891483 | − | 0.453054i | \(-0.850335\pi\) | ||||
0.891483 | − | 0.453054i | \(-0.149665\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −1000.13 | −2.13247 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 10.1759i | 0.0215135i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −262.584 | −0.552809 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | − 437.959i | − 0.914320i | −0.889385 | − | 0.457160i | \(-0.848867\pi\) | ||||
0.889385 | − | 0.457160i | \(-0.151133\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −205.299 | −0.426817 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 872.666i | 1.79931i | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −401.945 | −0.825350 | −0.412675 | − | 0.910878i | \(-0.635405\pi\) | ||||
−0.412675 | + | 0.910878i | \(0.635405\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 278.380i | 0.566966i | 0.958977 | + | 0.283483i | \(0.0914899\pi\) | ||||
−0.958977 | + | 0.283483i | \(0.908510\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −424.907 | −0.861881 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | − 146.151i | − 0.294067i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −545.310 | −1.09280 | −0.546402 | − | 0.837523i | \(-0.684003\pi\) | ||||
−0.546402 | + | 0.837523i | \(0.684003\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | − 306.460i | − 0.609264i | −0.952470 | − | 0.304632i | \(-0.901466\pi\) | ||||
0.952470 | − | 0.304632i | \(-0.0985335\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 1001.76 | 1.98369 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | 554.496i | 1.08938i | 0.838636 | + | 0.544692i | \(0.183353\pi\) | ||||
−0.838636 | + | 0.544692i | \(0.816647\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 39.6631 | 0.0776186 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | − 949.281i | − 1.84326i | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.74202 | −0.00723795 | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | − 154.167i | − 0.295905i | −0.988994 | − | 0.147953i | \(-0.952732\pi\) | ||||
0.988994 | − | 0.147953i | \(-0.0472683\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −480.598 | −0.918925 | −0.459463 | − | 0.888197i | \(-0.651958\pi\) | ||||
−0.459463 | + | 0.888197i | \(0.651958\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | − 235.258i | − 0.446409i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −28.1441 | −0.0532026 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 500.210i | 0.938480i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −276.701 | −0.517198 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − 15.0943i | − 0.0280043i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −300.543 | −0.555533 | −0.277766 | − | 0.960649i | \(-0.589594\pi\) | ||||
−0.277766 | + | 0.960649i | \(0.589594\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 1020.09i | 1.87173i | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 101.206 | 0.185021 | 0.0925104 | − | 0.995712i | \(-0.470511\pi\) | ||||
0.0925104 | + | 0.995712i | \(0.470511\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 430.283i | 0.780912i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 14.4431 | 0.0261177 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 433.041i | 0.777452i | 0.921353 | + | 0.388726i | \(0.127085\pi\) | ||||
−0.921353 | + | 0.388726i | \(0.872915\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 255.687 | 0.457401 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | − 1041.77i | − 1.85039i | −0.379487 | − | 0.925197i | \(-0.623899\pi\) | ||||
0.379487 | − | 0.925197i | \(-0.376101\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1440.46 | 2.54949 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | − 297.272i | − 0.522447i | −0.965278 | − | 0.261223i | \(-0.915874\pi\) | ||||
0.965278 | − | 0.261223i | \(-0.0841260\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 679.049 | 1.18923 | 0.594613 | − | 0.804012i | \(-0.297305\pi\) | ||||
0.594613 | + | 0.804012i | \(0.297305\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 763.599i | 1.32800i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −148.351 | −0.257107 | −0.128553 | − | 0.991703i | \(-0.541033\pi\) | ||||
−0.128553 | + | 0.991703i | \(0.541033\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 77.1091i | 0.132718i | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −26.8043 | −0.0459764 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 527.117i | 0.897985i | 0.893535 | + | 0.448993i | \(0.148217\pi\) | ||||
−0.893535 | + | 0.448993i | \(0.851783\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −238.234 | −0.404471 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 473.848i | 0.799069i | 0.916718 | + | 0.399534i | \(0.130828\pi\) | ||||
−0.916718 | + | 0.399534i | \(0.869172\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 553.402 | 0.930088 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 694.453i | 1.15935i | 0.814846 | + | 0.579677i | \(0.196821\pi\) | ||||
−0.814846 | + | 0.579677i | \(0.803179\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 186.712 | 0.310668 | 0.155334 | − | 0.987862i | \(-0.450355\pi\) | ||||
0.155334 | + | 0.987862i | \(0.450355\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 914.852i | 1.51215i | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 822.388 | 1.35484 | 0.677420 | − | 0.735596i | \(-0.263098\pi\) | ||||
0.677420 | + | 0.735596i | \(0.263098\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 94.0249i | 0.153887i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −482.206 | −0.786634 | −0.393317 | − | 0.919403i | \(-0.628672\pi\) | ||||
−0.393317 | + | 0.919403i | \(0.628672\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − 688.104i | − 1.11524i | −0.830096 | − | 0.557621i | \(-0.811714\pi\) | ||||
0.830096 | − | 0.557621i | \(-0.188286\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 760.505 | 1.22860 | 0.614302 | − | 0.789071i | \(-0.289438\pi\) | ||||
0.614302 | + | 0.789071i | \(0.289438\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 584.604i | 0.938370i | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −387.206 | −0.619530 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | 148.024i | 0.235333i | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −1008.08 | −1.59758 | −0.798792 | − | 0.601607i | \(-0.794527\pi\) | ||||
−0.798792 | + | 0.601607i | \(0.794527\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | − 1394.22i | − 2.19562i | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −379.272 | −0.595403 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 563.603i | 0.879256i | 0.898180 | + | 0.439628i | \(0.144890\pi\) | ||||
−0.898180 | + | 0.439628i | \(0.855110\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 577.000 | 0.897356 | 0.448678 | − | 0.893693i | \(-0.351895\pi\) | ||||
0.448678 | + | 0.893693i | \(0.351895\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | − 1024.52i | − 1.58349i | −0.610853 | − | 0.791744i | \(-0.709173\pi\) | ||||
0.610853 | − | 0.791744i | \(-0.290827\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −33.7011 | −0.0519277 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 399.393i | 0.611628i | 0.952091 | + | 0.305814i | \(0.0989286\pi\) | ||||
−0.952091 | + | 0.305814i | \(0.901071\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −954.856 | −1.45780 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | − 746.292i | − 1.13246i | −0.824247 | − | 0.566231i | \(-0.808401\pi\) | ||||
0.824247 | − | 0.566231i | \(-0.191599\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 951.247 | 1.43910 | 0.719552 | − | 0.694439i | \(-0.244347\pi\) | ||||
0.719552 | + | 0.694439i | \(0.244347\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | − 560.403i | − 0.842711i | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 1251.27 | 1.87596 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − 2.36724i | − 0.00352793i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −344.231 | −0.511487 | −0.255743 | − | 0.966745i | \(-0.582320\pi\) | ||||
−0.255743 | + | 0.966745i | \(0.582320\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | − 985.664i | − 1.45593i | −0.685615 | − | 0.727965i | \(-0.740467\pi\) | ||||
0.685615 | − | 0.727965i | \(-0.259533\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −1050.57 | −1.54723 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 166.658i | 0.244009i | 0.992530 | + | 0.122004i | \(0.0389322\pi\) | ||||
−0.992530 | + | 0.122004i | \(0.961068\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 941.062 | 1.37381 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 673.504i | 0.977510i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 898.155 | 1.29979 | 0.649895 | − | 0.760024i | \(-0.274813\pi\) | ||||
0.649895 | + | 0.760024i | \(0.274813\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | − 202.702i | − 0.291657i | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 360.660 | 0.517446 | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | − 730.549i | − 1.04215i | −0.853510 | − | 0.521076i | \(-0.825531\pi\) | ||||
0.853510 | − | 0.521076i | \(-0.174469\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 149.897 | 0.213224 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 1205.98i | 1.70577i | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −229.921 | −0.324289 | −0.162145 | − | 0.986767i | \(-0.551841\pi\) | ||||
−0.162145 | + | 0.986767i | \(0.551841\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 692.787i | 0.971651i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −37.2473 | −0.0520942 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | − 907.095i | − 1.26161i | −0.775943 | − | 0.630803i | \(-0.782725\pi\) | ||||
0.775943 | − | 0.630803i | \(-0.217275\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1142.80 | 1.58502 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | − 1714.94i | − 2.36543i | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −215.742 | −0.296757 | −0.148378 | − | 0.988931i | \(-0.547405\pi\) | ||||
−0.148378 | + | 0.988931i | \(0.547405\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − 184.355i | − 0.252196i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 629.269 | 0.858484 | 0.429242 | − | 0.903190i | \(-0.358781\pi\) | ||||
0.429242 | + | 0.903190i | \(0.358781\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | − 48.5351i | − 0.0658549i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −547.649 | −0.741068 | −0.370534 | − | 0.928819i | \(-0.620825\pi\) | ||||
−0.370534 | + | 0.928819i | \(0.620825\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 534.145i | 0.718902i | 0.933164 | + | 0.359451i | \(0.117036\pi\) | ||||
−0.933164 | + | 0.359451i | \(0.882964\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −610.753 | −0.819802 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | − 333.109i | − 0.444739i | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 451.090 | 0.600652 | 0.300326 | − | 0.953837i | \(-0.402905\pi\) | ||||
0.300326 | + | 0.953837i | \(0.402905\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | − 756.911i | − 1.00253i | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −352.391 | −0.465511 | −0.232755 | − | 0.972535i | \(-0.574774\pi\) | ||||
−0.232755 | + | 0.972535i | \(0.574774\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − 1073.78i | − 1.41101i | −0.708703 | − | 0.705507i | \(-0.750719\pi\) | ||||
0.708703 | − | 0.705507i | \(-0.249281\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −1228.05 | −1.60950 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 846.799i | 1.10404i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 355.976 | 0.462907 | 0.231454 | − | 0.972846i | \(-0.425652\pi\) | ||||
0.231454 | + | 0.972846i | \(0.425652\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | − 370.790i | − 0.479677i | −0.970813 | − | 0.239838i | \(-0.922906\pi\) | ||||
0.970813 | − | 0.239838i | \(-0.0770945\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 949.505 | 1.22517 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − 365.223i | − 0.468835i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 7.09255 | 0.00908137 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | − 525.974i | − 0.670031i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1153.06 | −1.46514 | −0.732568 | − | 0.680694i | \(-0.761678\pi\) | ||||
−0.732568 | + | 0.680694i | \(0.761678\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 1734.12i | 2.19231i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −59.4810 | −0.0750076 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | − 879.745i | − 1.10382i | −0.833903 | − | 0.551910i | \(-0.813899\pi\) | ||||
0.833903 | − | 0.551910i | \(-0.186101\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 67.7936 | 0.0848481 | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 1.92481i | 0.00239702i | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −1629.66 | −2.02442 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | − 884.508i | − 1.09334i | −0.837350 | − | 0.546668i | \(-0.815896\pi\) | ||||
0.837350 | − | 0.546668i | \(-0.184104\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 961.464 | 1.18553 | 0.592765 | − | 0.805376i | \(-0.298036\pi\) | ||||
0.592765 | + | 0.805376i | \(0.298036\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | − 1230.37i | − 1.50965i | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −186.687 | −0.228504 | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | − 898.431i | − 1.09431i | −0.837030 | − | 0.547156i | \(-0.815710\pi\) | ||||
0.837030 | − | 0.547156i | \(-0.184290\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −216.182 | −0.262676 | −0.131338 | − | 0.991338i | \(-0.541927\pi\) | ||||
−0.131338 | + | 0.991338i | \(0.541927\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 113.883i | 0.137706i | 0.997627 | + | 0.0688528i | \(0.0219339\pi\) | ||||
−0.997627 | + | 0.0688528i | \(0.978066\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 101.326 | 0.122227 | 0.0611135 | − | 0.998131i | \(-0.480535\pi\) | ||||
0.0611135 | + | 0.998131i | \(0.480535\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 273.462i | 0.328285i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 732.155 | 0.876832 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 69.8235i | 0.0832222i | 0.999134 | + | 0.0416111i | \(0.0132491\pi\) | ||||
−0.999134 | + | 0.0416111i | \(0.986751\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −1969.18 | −2.34147 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | − 343.934i | − 0.407023i | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1101.35 | −1.30030 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | − 435.902i | − 0.512223i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −1146.65 | −1.34425 | −0.672127 | − | 0.740435i | \(-0.734619\pi\) | ||||
−0.672127 | + | 0.740435i | \(0.734619\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | − 251.576i | − 0.293554i | −0.989170 | − | 0.146777i | \(-0.953110\pi\) | ||||
0.989170 | − | 0.146777i | \(-0.0468900\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 488.533 | 0.568722 | 0.284361 | − | 0.958717i | \(-0.408218\pi\) | ||||
0.284361 | + | 0.958717i | \(0.408218\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | − 596.889i | − 0.691644i | −0.938300 | − | 0.345822i | \(-0.887600\pi\) | ||||
0.938300 | − | 0.345822i | \(-0.112400\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −212.258 | −0.245385 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 0.700907i | 0 0.000806567i | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −1219.53 | −1.40015 | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 507.495i | 0.579995i | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 716.416 | 0.816894 | 0.408447 | − | 0.912782i | \(-0.366071\pi\) | ||||
0.408447 | + | 0.912782i | \(0.366071\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | − 1200.86i | − 1.36306i | −0.731790 | − | 0.681531i | \(-0.761315\pi\) | ||||
0.731790 | − | 0.681531i | \(-0.238685\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.8938 | −0.0259273 | −0.0129636 | − | 0.999916i | \(-0.504127\pi\) | ||||
−0.0129636 | + | 0.999916i | \(0.504127\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | − 602.589i | − 0.679356i | −0.940542 | − | 0.339678i | \(-0.889682\pi\) | ||||
0.940542 | − | 0.339678i | \(-0.110318\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1678.44 | 1.88801 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | − 68.6512i | − 0.0768771i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 269.609 | 0.301239 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − 1555.90i | − 1.73071i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 485.609 | 0.538966 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | − 148.702i | − 0.164312i | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −422.945 | −0.466312 | −0.233156 | − | 0.972439i | \(-0.574905\pi\) | ||||
−0.233156 | + | 0.972439i | \(0.574905\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 144.772i | 0.158916i | 0.996838 | + | 0.0794578i | \(0.0253189\pi\) | ||||
−0.996838 | + | 0.0794578i | \(0.974681\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −3.74202 | −0.00409860 | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | − 1149.51i | − 1.25356i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 869.093 | 0.945694 | 0.472847 | − | 0.881145i | \(-0.343226\pi\) | ||||
0.472847 | + | 0.881145i | \(0.343226\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | − 178.213i | − 0.193080i | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −597.429 | −0.645870 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | − 95.0131i | − 0.102275i | −0.998692 | − | 0.0511373i | \(-0.983715\pi\) | ||||
0.998692 | − | 0.0511373i | \(-0.0162846\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 276.921 | 0.297445 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 26.8560i | 0.0287230i | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −1555.55 | −1.66014 | −0.830071 | − | 0.557657i | \(-0.811700\pi\) | ||||
−0.830071 | + | 0.557657i | \(0.811700\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 387.109i | 0.411380i | 0.978617 | + | 0.205690i | \(0.0659438\pi\) | ||||
−0.978617 | + | 0.205690i | \(0.934056\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −1062.07 | −1.12627 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | − 969.788i | − 1.02406i | −0.858967 | − | 0.512032i | \(-0.828893\pi\) | ||||
0.858967 | − | 0.512032i | \(-0.171107\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 48.3642 | 0.0509633 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1294.65i | 1.35850i | 0.733909 | + | 0.679248i | \(0.237694\pi\) | ||||
−0.733909 | + | 0.679248i | \(0.762306\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −1649.76 | −1.72750 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 1132.91i | 1.18134i | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −99.5463 | −0.103586 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | − 371.078i | − 0.384536i | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −824.073 | −0.852195 | −0.426098 | − | 0.904677i | \(-0.640112\pi\) | ||||
−0.426098 | + | 0.904677i | \(0.640112\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 1518.35i | 1.56370i | 0.623469 | + | 0.781848i | \(0.285723\pi\) | ||||
−0.623469 | + | 0.781848i | \(0.714277\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 244.024 | 0.250796 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | − 371.233i | − 0.379972i | −0.981787 | − | 0.189986i | \(-0.939156\pi\) | ||||
0.981787 | − | 0.189986i | \(-0.0608443\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −28.3702 | −0.0289788 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | − 933.044i | − 0.949180i | −0.880207 | − | 0.474590i | \(-0.842596\pi\) | ||||
0.880207 | − | 0.474590i | \(-0.157404\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 2726.02 | 2.76753 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 542.890i | 0.548928i | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −1615.53 | −1.63020 | −0.815099 | − | 0.579321i | \(-0.803318\pi\) | ||||
−0.815099 | + | 0.579321i | \(0.803318\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 462.448i | 0.464772i | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1038.75 | 1.04188 | 0.520939 | − | 0.853594i | \(-0.325582\pi\) | ||||
0.520939 | + | 0.853594i | \(0.325582\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))