Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [1600,3,Mod(1599,1600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(1600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 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("1600.1599");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 1600 = 2^{6} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 1600.h (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: | \(43.5968422976\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{8} - x^{6} + x^{4} - x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{17}]\) |
Coefficient ring index: | \( 2^{17} \) |
Twist minimal: | no (minimal twist has level 20) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 1599.6 | ||
Root | \(-0.587785 - 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 1600.1599 |
Dual form | 1600.3.h.n.1599.5 |
$q$-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 \(\left(\mathbb{Z}/1600\mathbb{Z}\right)^\times\).
\(n\) | \(577\) | \(901\) | \(1151\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(-1\) |
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 | ||||||||
\(3\) | 2.35114 | 0.783714 | 0.391857 | − | 0.920026i | \(-0.371833\pi\) | ||||
0.391857 | + | 0.920026i | \(0.371833\pi\) | |||||||
\(4\) | 0 | 0 | ||||||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 5.25731 | 0.751044 | 0.375522 | − | 0.926813i | \(-0.377463\pi\) | ||||
0.375522 | + | 0.926813i | \(0.377463\pi\) | |||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | −3.47214 | −0.385793 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 19.9192i | 1.81084i | 0.424522 | + | 0.905418i | \(0.360442\pi\) | ||||
−0.424522 | + | 0.905418i | \(0.639558\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 8.47214i | 0.651703i | 0.945421 | + | 0.325851i | \(0.105651\pi\) | ||||
−0.945421 | + | 0.325851i | \(0.894349\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | − 11.8885i | − 0.699326i | −0.936876 | − | 0.349663i | \(-0.886296\pi\) | ||||
0.936876 | − | 0.349663i | \(-0.113704\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 15.2169i | 0.800890i | 0.916321 | + | 0.400445i | \(0.131144\pi\) | ||||
−0.916321 | + | 0.400445i | \(0.868856\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 12.3607 | 0.588604 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | −0.555029 | −0.0241317 | −0.0120659 | − | 0.999927i | \(-0.503841\pi\) | ||||
−0.0120659 | + | 0.999927i | \(0.503841\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0 | 0 | ||||||||
\(27\) | −29.3238 | −1.08606 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | −10.9443 | −0.377389 | −0.188694 | − | 0.982036i | \(-0.560426\pi\) | ||||
−0.188694 | + | 0.982036i | \(0.560426\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 8.29451i | 0.267565i | 0.991011 | + | 0.133782i | \(0.0427123\pi\) | ||||
−0.991011 | + | 0.133782i | \(0.957288\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 46.8328i | 1.41918i | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | − 18.3607i | − 0.496235i | −0.968730 | − | 0.248117i | \(-0.920188\pi\) | ||||
0.968730 | − | 0.248117i | \(-0.0798118\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 19.9192i | 0.510748i | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −14.5836 | −0.355697 | −0.177849 | − | 0.984058i | \(-0.556914\pi\) | ||||
−0.177849 | + | 0.984058i | \(0.556914\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −22.2703 | −0.517915 | −0.258957 | − | 0.965889i | \(-0.583379\pi\) | ||||
−0.258957 | + | 0.965889i | \(0.583379\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −53.3902 | −1.13596 | −0.567981 | − | 0.823042i | \(-0.692275\pi\) | ||||
−0.567981 | + | 0.823042i | \(0.692275\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | −21.3607 | −0.435932 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | − 27.9516i | − 0.548071i | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | 66.3607i | 1.25209i | 0.779788 | + | 0.626044i | \(0.215327\pi\) | ||||
−0.779788 | + | 0.626044i | \(0.784673\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 35.7771i | 0.627668i | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | − 17.4370i | − 0.295543i | −0.989022 | − | 0.147771i | \(-0.952790\pi\) | ||||
0.989022 | − | 0.147771i | \(-0.0472100\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −90.1378 | −1.47767 | −0.738834 | − | 0.673887i | \(-0.764623\pi\) | ||||
−0.738834 | + | 0.673887i | \(0.764623\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | −18.2541 | −0.289748 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 50.2220 | 0.749582 | 0.374791 | − | 0.927109i | \(-0.377715\pi\) | ||||
0.374791 | + | 0.927109i | \(0.377715\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | −1.30495 | −0.0189123 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 80.7868i | 1.13784i | 0.822392 | + | 0.568921i | \(0.192639\pi\) | ||||
−0.822392 | + | 0.568921i | \(0.807361\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | − 5.55418i | − 0.0760846i | −0.999276 | − | 0.0380423i | \(-0.987888\pi\) | ||||
0.999276 | − | 0.0380423i | \(-0.0121122\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 104.721i | 1.36002i | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | − 13.8448i | − 0.175251i | −0.996154 | − | 0.0876253i | \(-0.972072\pi\) | ||||
0.996154 | − | 0.0876253i | \(-0.0279278\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −37.6950 | −0.465371 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | 76.2155 | 0.918260 | 0.459130 | − | 0.888369i | \(-0.348161\pi\) | ||||
0.459130 | + | 0.888369i | \(0.348161\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 0 | 0 | ||||||||
\(87\) | −25.7315 | −0.295765 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 111.443 | 1.25217 | 0.626083 | − | 0.779757i | \(-0.284657\pi\) | ||||
0.626083 | + | 0.779757i | \(0.284657\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 44.5407i | 0.489458i | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 19.5016i | 0.209694i | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 92.8328i | 0.957039i | 0.878077 | + | 0.478520i | \(0.158826\pi\) | ||||
−0.878077 | + | 0.478520i | \(0.841174\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | − 69.1621i | − 0.698607i | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −64.1115 | −0.634767 | −0.317383 | − | 0.948297i | \(-0.602804\pi\) | ||||
−0.317383 | + | 0.948297i | \(0.602804\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 137.769 | 1.33757 | 0.668783 | − | 0.743458i | \(-0.266816\pi\) | ||||
0.668783 | + | 0.743458i | \(0.266816\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | −51.3320 | −0.479739 | −0.239869 | − | 0.970805i | \(-0.577105\pi\) | ||||
−0.239869 | + | 0.970805i | \(0.577105\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 133.469 | 1.22449 | 0.612243 | − | 0.790669i | \(-0.290267\pi\) | ||||
0.612243 | + | 0.790669i | \(0.290267\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | − 43.1685i | − 0.388906i | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | 170.721i | 1.51081i | 0.655259 | + | 0.755404i | \(0.272559\pi\) | ||||
−0.655259 | + | 0.755404i | \(0.727441\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 0 | 0 | ||||||||
\(117\) | − 29.4164i | − 0.251422i | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | − 62.5018i | − 0.525225i | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −275.774 | −2.27912 | ||||||||
\(122\) | 0 | 0 | ||||||||
\(123\) | −34.2881 | −0.278765 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | 0 | 0 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 198.637 | 1.56407 | 0.782035 | − | 0.623235i | \(-0.214182\pi\) | ||||
0.782035 | + | 0.623235i | \(0.214182\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | −52.3607 | −0.405897 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 7.77041i | 0.0593161i | 0.999560 | + | 0.0296580i | \(0.00944183\pi\) | ||||
−0.999560 | + | 0.0296580i | \(0.990558\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 80.0000i | 0.601504i | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | − 0.832816i | − 0.00607895i | −0.999995 | − | 0.00303947i | \(-0.999033\pi\) | ||||
0.999995 | − | 0.00303947i | \(-0.000967496\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 237.658i | 1.70977i | 0.518817 | + | 0.854885i | \(0.326373\pi\) | ||||
−0.518817 | + | 0.854885i | \(0.673627\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −125.528 | −0.890269 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | −168.758 | −1.18013 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | −50.2220 | −0.341646 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | −36.9706 | −0.248125 | −0.124062 | − | 0.992274i | \(-0.539592\pi\) | ||||
−0.124062 | + | 0.992274i | \(0.539592\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | − 282.723i | − 1.87234i | −0.351552 | − | 0.936168i | \(-0.614346\pi\) | ||||
0.351552 | − | 0.936168i | \(-0.385654\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 41.2786i | 0.269795i | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 204.748i | 1.30413i | 0.758165 | + | 0.652063i | \(0.226096\pi\) | ||||
−0.758165 | + | 0.652063i | \(0.773904\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 156.023i | 0.981279i | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −2.91796 | −0.0181240 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −107.235 | −0.657885 | −0.328943 | − | 0.944350i | \(-0.606692\pi\) | ||||
−0.328943 | + | 0.944350i | \(0.606692\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | −33.2090 | −0.198856 | −0.0994280 | − | 0.995045i | \(-0.531701\pi\) | ||||
−0.0994280 | + | 0.995045i | \(0.531701\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 97.2229 | 0.575284 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | − 52.8352i | − 0.308978i | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 226.361i | 1.30844i | 0.756303 | + | 0.654222i | \(0.227004\pi\) | ||||
−0.756303 | + | 0.654222i | \(0.772996\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | − 40.9969i | − 0.231621i | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | − 224.337i | − 1.25328i | −0.779308 | − | 0.626641i | \(-0.784429\pi\) | ||||
0.779308 | − | 0.626641i | \(-0.215571\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −86.2229 | −0.476370 | −0.238185 | − | 0.971220i | \(-0.576552\pi\) | ||||
−0.238185 | + | 0.971220i | \(0.576552\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | −211.927 | −1.15807 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 236.810 | 1.26636 | ||||||||
\(188\) | 0 | 0 | ||||||||
\(189\) | −154.164 | −0.815683 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 31.0198i | 0.162407i | 0.996698 | + | 0.0812036i | \(0.0258764\pi\) | ||||
−0.996698 | + | 0.0812036i | \(0.974124\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 110.223i | 0.571103i | 0.958363 | + | 0.285552i | \(0.0921768\pi\) | ||||
−0.958363 | + | 0.285552i | \(0.907823\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | − 172.525i | − 0.875760i | −0.899033 | − | 0.437880i | \(-0.855729\pi\) | ||||
0.899033 | − | 0.437880i | \(-0.144271\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | − 272.208i | − 1.36788i | −0.729538 | − | 0.683940i | \(-0.760265\pi\) | ||||
0.729538 | − | 0.683940i | \(-0.239735\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 118.079 | 0.587457 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | −57.5374 | −0.283436 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 1.92714 | 0.00930984 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | −303.108 | −1.45028 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | − 205.266i | − 0.972826i | −0.873729 | − | 0.486413i | \(-0.838305\pi\) | ||||
0.873729 | − | 0.486413i | \(-0.161695\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 189.941i | 0.891743i | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 43.6068i | 0.200953i | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | − 13.0586i | − 0.0596285i | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 100.721 | 0.455753 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 235.731 | 1.05709 | 0.528545 | − | 0.848905i | \(-0.322738\pi\) | ||||
0.528545 | + | 0.848905i | \(0.322738\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | −58.5165 | −0.257782 | −0.128891 | − | 0.991659i | \(-0.541142\pi\) | ||||
−0.128891 | + | 0.991659i | \(0.541142\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 162.721 | 0.710574 | 0.355287 | − | 0.934757i | \(-0.384383\pi\) | ||||
0.355287 | + | 0.934757i | \(0.384383\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 246.215i | 1.06586i | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | 319.050i | 1.36931i | 0.728867 | + | 0.684656i | \(0.240047\pi\) | ||||
−0.728867 | + | 0.684656i | \(0.759953\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | − 32.5511i | − 0.137346i | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | 236.810i | 0.990837i | 0.868654 | + | 0.495419i | \(0.164985\pi\) | ||||
−0.868654 | + | 0.495419i | \(0.835015\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −0.917961 | −0.00380897 | −0.00190448 | − | 0.999998i | \(-0.500606\pi\) | ||||
−0.00190448 | + | 0.999998i | \(0.500606\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 175.287 | 0.721347 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −128.920 | −0.521942 | ||||||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 179.193 | 0.719653 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | − 136.690i | − 0.544582i | −0.962215 | − | 0.272291i | \(-0.912219\pi\) | ||||
0.962215 | − | 0.272291i | \(-0.0877813\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | − 11.0557i | − 0.0436985i | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 274.944i | 1.06982i | 0.844908 | + | 0.534911i | \(0.179655\pi\) | ||||
−0.844908 | + | 0.534911i | \(0.820345\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | − 96.5278i | − 0.372694i | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 38.0000 | 0.145594 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | 406.385 | 1.54519 | 0.772596 | − | 0.634899i | \(-0.218958\pi\) | ||||
0.772596 | + | 0.634899i | \(0.218958\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 262.018 | 0.981339 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −348.525 | −1.29563 | −0.647816 | − | 0.761797i | \(-0.724317\pi\) | ||||
−0.647816 | + | 0.761797i | \(0.724317\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 247.849i | 0.914571i | 0.889320 | + | 0.457286i | \(0.151178\pi\) | ||||
−0.889320 | + | 0.457286i | \(0.848822\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 104.721i | 0.383595i | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | − 54.7539i | − 0.197667i | −0.995104 | − | 0.0988337i | \(-0.968489\pi\) | ||||
0.995104 | − | 0.0988337i | \(-0.0315112\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | − 28.7997i | − 0.103225i | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −50.3607 | −0.179220 | −0.0896098 | − | 0.995977i | \(-0.528562\pi\) | ||||
−0.0896098 | + | 0.995977i | \(0.528562\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 147.336 | 0.520621 | 0.260310 | − | 0.965525i | \(-0.416175\pi\) | ||||
0.260310 | + | 0.965525i | \(0.416175\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | −76.6705 | −0.267145 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 147.663 | 0.510943 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 218.263i | 0.750045i | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | − 178.859i | − 0.610441i | −0.952282 | − | 0.305220i | \(-0.901270\pi\) | ||||
0.952282 | − | 0.305220i | \(-0.0987301\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0 | 0 | ||||||||
\(297\) | − 584.105i | − 1.96668i | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | − 4.70228i | − 0.0157267i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −117.082 | −0.388977 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | −150.735 | −0.497475 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −284.550 | −0.926873 | −0.463436 | − | 0.886130i | \(-0.653384\pi\) | ||||
−0.463436 | + | 0.886130i | \(0.653384\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 323.915 | 1.04827 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | − 282.199i | − 0.907392i | −0.891157 | − | 0.453696i | \(-0.850105\pi\) | ||||
0.891157 | − | 0.453696i | \(-0.149895\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | − 567.548i | − 1.81325i | −0.421935 | − | 0.906626i | \(-0.638649\pi\) | ||||
0.421935 | − | 0.906626i | \(-0.361351\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | 161.141i | 0.508331i | 0.967161 | + | 0.254165i | \(0.0818008\pi\) | ||||
−0.967161 | + | 0.254165i | \(0.918199\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − 218.001i | − 0.683389i | ||||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −120.689 | −0.375978 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 180.907 | 0.560083 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 313.805 | 0.959647 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | −280.689 | −0.853158 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 331.966i | 1.00292i | 0.865181 | + | 0.501459i | \(0.167203\pi\) | ||||
−0.865181 | + | 0.501459i | \(0.832797\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 63.7508i | 0.191444i | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 269.108i | 0.798541i | 0.916833 | + | 0.399271i | \(0.130737\pi\) | ||||
−0.916833 | + | 0.399271i | \(0.869263\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 401.390i | 1.18404i | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −165.220 | −0.484516 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −369.908 | −1.07845 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −503.075 | −1.44978 | −0.724892 | − | 0.688863i | \(-0.758110\pi\) | ||||
−0.724892 | + | 0.688863i | \(0.758110\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −0.504658 | −0.00144601 | −0.000723006 | − | 1.00000i | \(-0.500230\pi\) | ||||
−0.000723006 | 1.00000i | \(0.500230\pi\) | ||||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − 248.435i | − 0.707791i | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − 335.994i | − 0.951824i | −0.879493 | − | 0.475912i | \(-0.842118\pi\) | ||||
0.879493 | − | 0.475912i | \(-0.157882\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0 | 0 | ||||||||
\(357\) | − 146.950i | − 0.411626i | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | 98.4859i | 0.274334i | 0.990548 | + | 0.137167i | \(0.0437997\pi\) | ||||
−0.990548 | + | 0.137167i | \(0.956200\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 129.446 | 0.358576 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | −648.384 | −1.78618 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −498.473 | −1.35824 | −0.679118 | − | 0.734029i | \(-0.737638\pi\) | ||||
−0.679118 | + | 0.734029i | \(0.737638\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 50.6362 | 0.137226 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 348.879i | 0.940374i | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | − 600.354i | − 1.60953i | −0.593594 | − | 0.804765i | \(-0.702291\pi\) | ||||
0.593594 | − | 0.804765i | \(-0.297709\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | − 92.7214i | − 0.245945i | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | − 303.490i | − 0.800765i | −0.916348 | − | 0.400383i | \(-0.868877\pi\) | ||||
0.916348 | − | 0.400383i | \(-0.131123\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 467.023 | 1.22578 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | −332.583 | −0.868362 | −0.434181 | − | 0.900826i | \(-0.642962\pi\) | ||||
−0.434181 | + | 0.900826i | \(0.642962\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 77.3256 | 0.199808 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | 392.354 | 1.00862 | 0.504312 | − | 0.863522i | \(-0.331746\pi\) | ||||
0.504312 | + | 0.863522i | \(0.331746\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.59849i | 0.0168759i | ||||||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 18.2693i | 0.0464868i | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 334.190i | 0.841789i | 0.907110 | + | 0.420895i | \(0.138284\pi\) | ||||
−0.907110 | + | 0.420895i | \(0.861716\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 188.091i | 0.471407i | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 121.003 | 0.301753 | 0.150877 | − | 0.988553i | \(-0.451790\pi\) | ||||
0.150877 | + | 0.988553i | \(0.451790\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −70.2722 | −0.174373 | ||||||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | 365.730 | 0.898599 | ||||||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 607.410 | 1.48511 | 0.742555 | − | 0.669785i | \(-0.233614\pi\) | ||||
0.742555 | + | 0.669785i | \(0.233614\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | − 1.95807i | − 0.00476415i | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | − 91.6718i | − 0.221966i | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 0 | 0 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 558.768i | 1.33997i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 466.760i | 1.11398i | 0.830518 | + | 0.556992i | \(0.188045\pi\) | ||||
−0.830518 | + | 0.556992i | \(0.811955\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 73.0883 | 0.173606 | 0.0868031 | − | 0.996225i | \(-0.472335\pi\) | ||||
0.0868031 | + | 0.996225i | \(0.472335\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 185.378 | 0.438246 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −473.882 | −1.10979 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | −396.774 | −0.924881 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 463.630i | 1.07571i | 0.843038 | + | 0.537853i | \(0.180765\pi\) | ||||
−0.843038 | + | 0.537853i | \(0.819235\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − 99.8359i | − 0.230568i | −0.993333 | − | 0.115284i | \(-0.963222\pi\) | ||||
0.993333 | − | 0.115284i | \(-0.0367778\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | − 8.44582i | − 0.0193268i | ||||||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 374.086i | 0.852133i | 0.904692 | + | 0.426066i | \(0.140101\pi\) | ||||
−0.904692 | + | 0.426066i | \(0.859899\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 74.1672 | 0.168180 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 290.100 | 0.654854 | 0.327427 | − | 0.944877i | \(-0.393818\pi\) | ||||
0.327427 | + | 0.944877i | \(0.393818\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 0 | 0 | ||||||||
\(447\) | −86.9231 | −0.194459 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | −299.921 | −0.667976 | −0.333988 | − | 0.942577i | \(-0.608394\pi\) | ||||
−0.333988 | + | 0.942577i | \(0.608394\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | − 290.493i | − 0.644109i | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | − 664.721i | − 1.46738i | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | − 822.328i | − 1.79941i | −0.436503 | − | 0.899703i | \(-0.643783\pi\) | ||||
0.436503 | − | 0.899703i | \(-0.356217\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 348.617i | 0.759513i | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 456.885 | 0.991075 | 0.495537 | − | 0.868587i | \(-0.334971\pi\) | ||||
0.495537 | + | 0.868587i | \(0.334971\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 400.249 | 0.864469 | 0.432234 | − | 0.901761i | \(-0.357725\pi\) | ||||
0.432234 | + | 0.901761i | \(0.357725\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | 913.145 | 1.95534 | 0.977672 | − | 0.210139i | \(-0.0673915\pi\) | ||||
0.977672 | + | 0.210139i | \(0.0673915\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 264.033 | 0.562969 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 481.391i | 1.02206i | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | − 443.607i | − 0.937858i | ||||||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 0 | 0 | ||||||||
\(477\) | − 230.413i | − 0.483047i | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | − 526.131i | − 1.09840i | −0.835692 | − | 0.549198i | \(-0.814933\pi\) | ||||
0.835692 | − | 0.549198i | \(-0.185067\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 155.554 | 0.323397 | ||||||||
\(482\) | 0 | 0 | ||||||||
\(483\) | −6.86054 | −0.0142040 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −443.541 | −0.910762 | −0.455381 | − | 0.890297i | \(-0.650497\pi\) | ||||
−0.455381 | + | 0.890297i | \(0.650497\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | −252.125 | −0.515594 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | − 287.163i | − 0.584854i | −0.956288 | − | 0.292427i | \(-0.905537\pi\) | ||||
0.956288 | − | 0.292427i | \(-0.0944628\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 130.111i | 0.263918i | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 424.721i | 0.854570i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | − 810.936i | − 1.62512i | −0.582876 | − | 0.812561i | \(-0.698073\pi\) | ||||
0.582876 | − | 0.812561i | \(-0.301927\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −78.0789 | −0.155846 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | 642.471 | 1.27728 | 0.638639 | − | 0.769506i | \(-0.279498\pi\) | ||||
0.638639 | + | 0.769506i | \(0.279498\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 228.585 | 0.450858 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −915.050 | −1.79774 | −0.898870 | − | 0.438216i | \(-0.855611\pi\) | ||||
−0.898870 | + | 0.438216i | \(0.855611\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − 29.2000i | − 0.0571429i | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | − 446.217i | − 0.869818i | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 0 | 0 | ||||||||
\(517\) | − 1063.49i | − 2.05704i | ||||||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 532.206i | 1.02544i | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1006.98 | 1.93279 | 0.966396 | − | 0.257058i | \(-0.0827533\pi\) | ||||
0.966396 | + | 0.257058i | \(0.0827533\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 774.173 | 1.48025 | 0.740127 | − | 0.672467i | \(-0.234765\pi\) | ||||
0.740127 | + | 0.672467i | \(0.234765\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 98.6096 | 0.187115 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −528.692 | −0.999418 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 60.5437i | 0.114018i | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | − 123.554i | − 0.231809i | ||||||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 0 | 0 | ||||||||
\(537\) | − 527.449i | − 0.982214i | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | − 425.487i | − 0.789401i | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 259.115 | 0.478955 | 0.239477 | − | 0.970902i | \(-0.423024\pi\) | ||||
0.239477 | + | 0.970902i | \(0.423024\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −202.722 | −0.373337 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −149.818 | −0.273890 | −0.136945 | − | 0.990579i | \(-0.543728\pi\) | ||||
−0.136945 | + | 0.990579i | \(0.543728\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 312.971 | 0.570074 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | − 166.538i | − 0.302247i | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | − 72.7864i | − 0.131621i | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 511.698i | 0.918668i | 0.888264 | + | 0.459334i | \(0.151912\pi\) | ||||
−0.888264 | + | 0.459334i | \(0.848088\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − 188.677i | − 0.337526i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 556.774 | 0.992467 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −490.726 | −0.871627 | −0.435814 | − | 0.900037i | \(-0.643539\pi\) | ||||
−0.435814 | + | 0.900037i | \(0.643539\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 0 | 0 | ||||||||
\(567\) | −198.175 | −0.349514 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 232.748 | 0.409047 | 0.204523 | − | 0.978862i | \(-0.434436\pi\) | ||||
0.204523 | + | 0.978862i | \(0.434436\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − 210.755i | − 0.369098i | −0.982823 | − | 0.184549i | \(-0.940918\pi\) | ||||
0.982823 | − | 0.184549i | \(-0.0590824\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 72.9318i | 0.127281i | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | − 341.712i | − 0.592222i | −0.955154 | − | 0.296111i | \(-0.904310\pi\) | ||||
0.955154 | − | 0.296111i | \(-0.0956898\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 259.150i | 0.447581i | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 400.689 | 0.689654 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −1321.85 | −2.26733 | ||||||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | 618.412 | 1.05351 | 0.526756 | − | 0.850016i | \(-0.323408\pi\) | ||||
0.526756 | + | 0.850016i | \(0.323408\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −126.217 | −0.214290 | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | − 405.630i | − 0.686345i | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | 120.663i | 0.203478i | 0.994811 | + | 0.101739i | \(0.0324407\pi\) | ||||
−0.994811 | + | 0.101739i | \(0.967559\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | − 640.000i | − 1.07203i | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | − 849.927i | − 1.41891i | −0.704751 | − | 0.709455i | \(-0.748941\pi\) | ||||
0.704751 | − | 0.709455i | \(-0.251059\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −11.3576 | −0.0188978 | −0.00944890 | − | 0.999955i | \(-0.503008\pi\) | ||||
−0.00944890 | + | 0.999955i | \(0.503008\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | −174.378 | −0.289183 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 1115.12 | 1.83710 | 0.918550 | − | 0.395305i | \(-0.129361\pi\) | ||||
0.918550 | + | 0.395305i | \(0.129361\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | −135.279 | −0.222132 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − 452.329i | − 0.740309i | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | − 499.475i | − 0.814805i | −0.913249 | − | 0.407402i | \(-0.866435\pi\) | ||||
0.913249 | − | 0.407402i | \(-0.133565\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − 545.935i | − 0.884822i | −0.896813 | − | 0.442411i | \(-0.854123\pi\) | ||||
0.896813 | − | 0.442411i | \(-0.145877\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | − 455.011i | − 0.735075i | −0.930009 | − | 0.367537i | \(-0.880201\pi\) | ||||
0.930009 | − | 0.367537i | \(-0.119799\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 16.2755 | 0.0262086 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 585.889 | 0.940432 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0 | 0 | ||||||||
\(627\) | −712.650 | −1.13660 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −218.282 | −0.347030 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − 267.706i | − 0.424257i | −0.977242 | − | 0.212128i | \(-0.931960\pi\) | ||||
0.977242 | − | 0.212128i | \(-0.0680395\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | − 482.610i | − 0.762417i | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 0 | 0 | ||||||||
\(637\) | − 180.971i | − 0.284098i | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | − 280.503i | − 0.438971i | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −418.571 | −0.652997 | −0.326499 | − | 0.945198i | \(-0.605869\pi\) | ||||
−0.326499 | + | 0.945198i | \(0.605869\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −439.339 | −0.683265 | −0.341633 | − | 0.939834i | \(-0.610980\pi\) | ||||
−0.341633 | + | 0.939834i | \(0.610980\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −419.644 | −0.648600 | −0.324300 | − | 0.945954i | \(-0.605129\pi\) | ||||
−0.324300 | + | 0.945954i | \(0.605129\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 347.331 | 0.535179 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 102.526i | 0.157490i | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 370.085i | 0.566746i | 0.959010 | + | 0.283373i | \(0.0914534\pi\) | ||||
−0.959010 | + | 0.283373i | \(0.908547\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 19.2849i | 0.0293529i | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 322.823i | 0.489868i | 0.969540 | + | 0.244934i | \(0.0787664\pi\) | ||||
−0.969540 | + | 0.244934i | \(0.921234\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 812.735 | 1.22955 | 0.614777 | − | 0.788701i | \(-0.289246\pi\) | ||||
0.614777 | + | 0.788701i | \(0.289246\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 236.810 | 0.357180 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 6.07439 | 0.00910703 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 554.237 | 0.828456 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | − 1795.47i | − 2.67581i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 467.378i | 0.694469i | 0.937778 | + | 0.347235i | \(0.112879\pi\) | ||||
−0.937778 | + | 0.347235i | \(0.887121\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 548.237i | 0.809803i | 0.914360 | + | 0.404902i | \(0.132694\pi\) | ||||
−0.914360 | + | 0.404902i | \(0.867306\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 488.051i | 0.718779i | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −137.580 | −0.202027 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −23.9663 | −0.0350898 | −0.0175449 | − | 0.999846i | \(-0.505585\pi\) | ||||
−0.0175449 | + | 0.999846i | \(0.505585\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 382.581 | 0.556886 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | −562.217 | −0.815989 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | − 186.981i | − 0.270595i | −0.990805 | − | 0.135298i | \(-0.956801\pi\) | ||||
0.990805 | − | 0.135298i | \(-0.0431990\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | − 363.607i | − 0.524685i | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 173.378i | 0.248748i | ||||||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 750.130i | 1.07315i | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 706.636 | 1.00804 | 0.504020 | − | 0.863692i | \(-0.331854\pi\) | ||||
0.504020 | + | 0.863692i | \(0.331854\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 279.393 | 0.397429 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | −337.054 | −0.476738 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −188.597 | −0.266005 | −0.133002 | − | 0.991116i | \(-0.542462\pi\) | ||||
−0.133002 | + | 0.991116i | \(0.542462\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 48.0710i | 0.0676104i | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | − 4.60369i | − 0.00645679i | ||||||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 556.774i | 0.776533i | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | 156.085i | 0.217086i | 0.994092 | + | 0.108543i | \(0.0346186\pi\) | ||||
−0.994092 | + | 0.108543i | \(0.965381\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 724.296 | 1.00457 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −2.15825 | −0.00298514 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 715.164 | 0.983719 | 0.491859 | − | 0.870675i | \(-0.336317\pi\) | ||||
0.491859 | + | 0.870675i | \(0.336317\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 751.381 | 1.03070 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 264.762i | 0.362191i | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | − 1233.29i | − 1.68252i | −0.540632 | − | 0.841259i | \(-0.681815\pi\) | ||||
0.540632 | − | 0.841259i | \(-0.318185\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | 1000.38i | 1.35737i | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | − 8.55656i | − 0.0115786i | −0.999983 | − | 0.00578928i | \(-0.998157\pi\) | ||||
0.999983 | − | 0.00578928i | \(-0.00184280\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −303.108 | −0.409053 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | −1010.56 | −1.36011 | −0.680053 | − | 0.733163i | \(-0.738043\pi\) | ||||
−0.680053 | + | 0.733163i | \(0.738043\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0 | 0 | ||||||||
\(747\) | −264.631 | −0.354258 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | −269.868 | −0.360305 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 1104.31i | 1.47046i | 0.677820 | + | 0.735228i | \(0.262925\pi\) | ||||
−0.677820 | + | 0.735228i | \(0.737075\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | − 321.378i | − 0.426796i | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | − 875.633i | − 1.15671i | −0.815783 | − | 0.578357i | \(-0.803694\pi\) | ||||
0.815783 | − | 0.578357i | \(-0.196306\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | − 25.9936i | − 0.0342471i | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −647.207 | −0.850470 | −0.425235 | − | 0.905083i | \(-0.639808\pi\) | ||||
−0.425235 | + | 0.905083i | \(0.639808\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 701.688 | 0.919644 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 147.729 | 0.192606 | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −631.430 | −0.821106 | −0.410553 | − | 0.911837i | \(-0.634664\pi\) | ||||
−0.410553 | + | 0.911837i | \(0.634664\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 646.433i | 0.838434i | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | 421.522i | 0.545306i | 0.962112 | + | 0.272653i | \(0.0879011\pi\) | ||||
−0.962112 | + | 0.272653i | \(0.912099\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | − 226.950i | − 0.292086i | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | − 221.917i | − 0.284874i | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1609.21 | −2.06044 | ||||||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 320.927 | 0.409869 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 838.633 | 1.06561 | 0.532804 | − | 0.846239i | \(-0.321138\pi\) | ||||
0.532804 | + | 0.846239i | \(0.321138\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 955.469 | 1.21099 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 897.535i | 1.13468i | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | − 763.659i | − 0.963001i | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 1213.57i | 1.52268i | 0.648354 | + | 0.761339i | \(0.275458\pi\) | ||||
−0.648354 | + | 0.761339i | \(0.724542\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 634.732i | 0.794408i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −386.944 | −0.483076 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 110.635 | 0.137777 | ||||||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | −819.431 | −1.01540 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | 229.214 | 0.283330 | 0.141665 | − | 0.989915i | \(-0.454754\pi\) | ||||
0.141665 | + | 0.989915i | \(0.454754\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 454.225i | 0.560080i | 0.959988 | + | 0.280040i | \(0.0903478\pi\) | ||||
−0.959988 | + | 0.280040i | \(0.909652\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 582.728i | 0.716762i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | − 338.885i | − 0.414792i | ||||||||
\(818\) | 0 | 0 | ||||||||
\(819\) | − 154.651i | − 0.188829i | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −1130.90 | −1.37747 | −0.688733 | − | 0.725015i | \(-0.741833\pi\) | ||||
−0.688733 | + | 0.725015i | \(0.741833\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 780.148 | 0.947931 | 0.473966 | − | 0.880543i | \(-0.342822\pi\) | ||||
0.473966 | + | 0.880543i | \(0.342822\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 209.175 | 0.252932 | 0.126466 | − | 0.991971i | \(-0.459636\pi\) | ||||
0.126466 | + | 0.991971i | \(0.459636\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −508.525 | −0.613419 | −0.306710 | − | 0.951803i | \(-0.599228\pi\) | ||||
−0.306710 | + | 0.951803i | \(0.599228\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | − 128.734i | − 0.154915i | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 253.947i | 0.304859i | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | − 243.226i | − 0.290593i | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | − 274.028i | − 0.326613i | −0.986575 | − | 0.163306i | \(-0.947784\pi\) | ||||
0.986575 | − | 0.163306i | \(-0.0522159\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −721.223 | −0.857578 | ||||||||
\(842\) | 0 | 0 | ||||||||
\(843\) | −118.405 | −0.140457 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −1449.83 | −1.71172 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 346.407 | 0.408018 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 10.1907i | 0.0119750i | ||||||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 1583.28i | 1.85613i | 0.372416 | + | 0.928066i | \(0.378529\pi\) | ||||
−0.372416 | + | 0.928066i | \(0.621471\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | 1007.38i | 1.17547i | 0.809054 | + | 0.587735i | \(0.199980\pi\) | ||||
−0.809054 | + | 0.587735i | \(0.800020\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 76.6086i | 0.0891835i | 0.999005 | + | 0.0445917i | \(0.0141987\pi\) | ||||
−0.999005 | + | 0.0445917i | \(0.985801\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −180.263 | −0.209365 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −255.450 | −0.296002 | −0.148001 | − | 0.988987i | \(-0.547284\pi\) | ||||
−0.148001 | + | 0.988987i | \(0.547284\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 347.175 | 0.400433 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | 275.777 | 0.317350 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 425.487i | 0.488504i | ||||||||
\(872\) | 0 | 0 | ||||||||
\(873\) | − 322.328i | − 0.369219i | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 601.522i | 0.685886i | 0.939356 | + | 0.342943i | \(0.111424\pi\) | ||||
−0.939356 | + | 0.342943i | \(0.888576\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | − 420.523i | − 0.478411i | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 237.850 | 0.269977 | 0.134989 | − | 0.990847i | \(-0.456900\pi\) | ||||
0.134989 | + | 0.990847i | \(0.456900\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 1.30294 | 0.00147559 | 0.000737794 | − | 1.00000i | \(-0.499765\pi\) | ||||
0.000737794 | 1.00000i | \(0.499765\pi\) | ||||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 536.353 | 0.604682 | 0.302341 | − | 0.953200i | \(-0.402232\pi\) | ||||
0.302341 | + | 0.953200i | \(0.402232\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 1044.30 | 1.17469 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | − 750.855i | − 0.842710i | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | − 812.433i | − 0.909780i | ||||||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 0 | 0 | ||||||||
\(897\) | − 11.0557i | − 0.0123252i | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | − 90.7773i | − 0.100976i | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 788.932 | 0.875618 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | −275.276 | −0.304846 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 332.159 | 0.366217 | 0.183108 | − | 0.983093i | \(-0.441384\pi\) | ||||
0.183108 | + | 0.983093i | \(0.441384\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 222.604 | 0.244889 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 1450.06i | 1.59172i | 0.605478 | + | 0.795862i | \(0.292982\pi\) | ||||
−0.605478 | + | 0.795862i | \(0.707018\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1518.15i | 1.66282i | ||||||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 40.8514i | 0.0445490i | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 814.405i | 0.886186i | 0.896476 | + | 0.443093i | \(0.146119\pi\) | ||||
−0.896476 | + | 0.443093i | \(0.853881\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −669.017 | −0.726403 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −684.437 | −0.741535 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 0 | 0 | ||||||||
\(927\) | −478.353 | −0.516023 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −400.039 | −0.430612 | −0.215306 | − | 0.976547i | \(-0.569075\pi\) | ||||
−0.215306 | + | 0.976547i | \(0.569075\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | − 325.043i | − 0.349134i | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | − 663.489i | − 0.711135i | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | − 249.279i | − 0.266039i | −0.991113 | − | 0.133020i | \(-0.957533\pi\) | ||||
0.991113 | − | 0.133020i | \(-0.0424673\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | − 1334.39i | − 1.42107i | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −724.229 | −0.769638 | −0.384819 | − | 0.922992i | \(-0.625736\pi\) | ||||
−0.384819 | + | 0.922992i | \(0.625736\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 8.09432 | 0.00858358 | ||||||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −1141.54 | −1.20542 | −0.602712 | − | 0.797959i | \(-0.705913\pi\) | ||||
−0.602712 | + | 0.797959i | \(0.705913\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 47.0557 | 0.0495845 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 378.865i | 0.398386i | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | 1295.33i | 1.35921i | 0.733579 | + | 0.679604i | \(0.237848\pi\) | ||||
−0.733579 | + | 0.679604i | \(0.762152\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | − 512.551i | − 0.535581i | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | − 4.37837i | − 0.00456556i | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 892.201 | 0.928409 | ||||||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 178.232 | 0.185080 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 398.477 | 0.412075 | 0.206037 | − | 0.978544i | \(-0.433943\pi\) | ||||
0.206037 | + | 0.978544i | \(0.433943\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 425.337 | 0.438945 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − 928.093i | − 0.955811i | −0.878411 | − | 0.477906i | \(-0.841396\pi\) | ||||
0.878411 | − | 0.477906i | \(-0.158604\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 1249.44i | 1.28411i | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | 1378.05i | 1.41049i | 0.708962 | + | 0.705247i | \(0.249164\pi\) | ||||
−0.708962 | + | 0.705247i | \(0.750836\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2219.85i | 2.26747i | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | −463.423 | −0.472398 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | 311.291 | 0.316675 | 0.158337 | − | 0.987385i | \(-0.449387\pi\) | ||||
0.158337 | + | 0.987385i | \(0.449387\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0 | 0 | ||||||||
\(987\) | −659.939 | −0.668631 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 12.3607 | 0.0124982 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − 961.147i | − 0.969876i | −0.874549 | − | 0.484938i | \(-0.838842\pi\) | ||||
0.874549 | − | 0.484938i | \(-0.161158\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 780.498i | 0.786000i | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 0 | 0 | ||||||||
\(997\) | − 1089.68i | − 1.09296i | −0.837473 | − | 0.546479i | \(-0.815968\pi\) | ||||
0.837473 | − | 0.546479i | \(-0.184032\pi\) | |||||||
\(998\) | 0 | 0 | ||||||||
\(999\) | 538.404i | 0.538943i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))