Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [5292,2,Mod(1765,5292)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(5292, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("5292.1765");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 5292 = 2^{2} \cdot 3^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 5292.j (of order \(3\), degree \(2\), not minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(42.2568327497\) |
Analytic rank: | \(0\) |
Dimension: | \(14\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{14} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{14} - 5x^{12} - 3x^{11} + 7x^{10} + 30x^{9} - 117x^{7} + 270x^{5} + 189x^{4} - 243x^{3} - 1215x^{2} + 2187 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{25}]\) |
Coefficient ring index: | \( 3^{8} \) |
Twist minimal: | no (minimal twist has level 252) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 3529.1 | ||
Root | \(-1.58203 + 0.705117i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 5292.3529 |
Dual form | 5292.2.j.h.1765.1 |
$q$-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 \(\left(\mathbb{Z}/5292\mathbb{Z}\right)^\times\).
\(n\) | \(785\) | \(1081\) | \(2647\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(1\) |
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 | ||||||||
\(5\) | −1.26013 | − | 2.18261i | −0.563548 | − | 0.976094i | −0.997183 | − | 0.0750053i | \(-0.976103\pi\) |
0.433635 | − | 0.901089i | \(-0.357231\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0 | 0 | ||||||||
\(8\) | 0 | 0 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −0.687041 | + | 1.18999i | −0.207151 | + | 0.358796i | −0.950816 | − | 0.309757i | \(-0.899752\pi\) |
0.743665 | + | 0.668552i | \(0.233086\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.80008 | − | 4.84989i | −0.776603 | − | 1.34512i | −0.933889 | − | 0.357563i | \(-0.883608\pi\) |
0.157285 | − | 0.987553i | \(-0.449726\pi\) | |||||||
\(14\) | 0 | 0 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0 | 0 | ||||||||
\(17\) | −5.39225 | −1.30781 | −0.653907 | − | 0.756575i | \(-0.726871\pi\) | ||||
−0.653907 | + | 0.756575i | \(0.726871\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −4.89435 | −1.12284 | −0.561420 | − | 0.827531i | \(-0.689745\pi\) | ||||
−0.561420 | + | 0.827531i | \(0.689745\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 2.08765 | + | 3.61591i | 0.435304 | + | 0.753969i | 0.997320 | − | 0.0731570i | \(-0.0233074\pi\) |
−0.562016 | + | 0.827126i | \(0.689974\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.675864 | + | 1.17063i | −0.135173 | + | 0.234126i | ||||
\(26\) | 0 | 0 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0 | 0 | ||||||||
\(29\) | 1.56761 | − | 2.71518i | 0.291097 | − | 0.504195i | −0.682972 | − | 0.730444i | \(-0.739313\pi\) |
0.974069 | + | 0.226249i | \(0.0726463\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −2.40060 | − | 4.15797i | −0.431161 | − | 0.746793i | 0.565812 | − | 0.824534i | \(-0.308563\pi\) |
−0.996974 | + | 0.0777407i | \(0.975229\pi\) | |||||||
\(32\) | 0 | 0 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 0 | 0 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.39677 | 0.887224 | 0.443612 | − | 0.896219i | \(-0.353697\pi\) | ||||
0.443612 | + | 0.896219i | \(0.353697\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 3.02991 | + | 5.24797i | 0.473193 | + | 0.819595i | 0.999529 | − | 0.0306820i | \(-0.00976793\pi\) |
−0.526336 | + | 0.850277i | \(0.676435\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 2.44717 | − | 4.23863i | 0.373190 | − | 0.646385i | −0.616864 | − | 0.787070i | \(-0.711597\pi\) |
0.990054 | + | 0.140685i | \(0.0449305\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0 | 0 | ||||||||
\(47\) | −2.82774 | + | 4.89779i | −0.412468 | + | 0.714416i | −0.995159 | − | 0.0982782i | \(-0.968667\pi\) |
0.582691 | + | 0.812694i | \(0.302000\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 0 | 0 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0 | 0 | ||||||||
\(53\) | −14.0056 | −1.92382 | −0.961910 | − | 0.273365i | \(-0.911863\pi\) | ||||
−0.961910 | + | 0.273365i | \(0.911863\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.46305 | 0.466958 | ||||||||
\(56\) | 0 | 0 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 0 | 0 | ||||||||
\(59\) | 7.13442 | + | 12.3572i | 0.928823 | + | 1.60877i | 0.785294 | + | 0.619122i | \(0.212512\pi\) |
0.143529 | + | 0.989646i | \(0.454155\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.42860 | − | 5.93852i | 0.438988 | − | 0.760349i | −0.558624 | − | 0.829421i | \(-0.688670\pi\) |
0.997612 | + | 0.0690720i | \(0.0220038\pi\) | |||||||
\(62\) | 0 | 0 | ||||||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0 | 0 | ||||||||
\(65\) | −7.05695 | + | 12.2230i | −0.875307 | + | 1.51608i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 4.05678 | + | 7.02655i | 0.495615 | + | 0.858430i | 0.999987 | − | 0.00505643i | \(-0.00160952\pi\) |
−0.504373 | + | 0.863486i | \(0.668276\pi\) | |||||||
\(68\) | 0 | 0 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.25704 | 0.267861 | 0.133931 | − | 0.990991i | \(-0.457240\pi\) | ||||
0.133931 | + | 0.990991i | \(0.457240\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −7.02911 | −0.822695 | −0.411348 | − | 0.911479i | \(-0.634942\pi\) | ||||
−0.411348 | + | 0.911479i | \(0.634942\pi\) | |||||||
\(74\) | 0 | 0 | ||||||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −1.37843 | + | 2.38750i | −0.155085 | + | 0.268615i | −0.933090 | − | 0.359643i | \(-0.882898\pi\) |
0.778005 | + | 0.628258i | \(0.216232\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 0 | 0 | ||||||||
\(83\) | −7.48876 | + | 12.9709i | −0.821998 | + | 1.42374i | 0.0821933 | + | 0.996616i | \(0.473808\pi\) |
−0.904192 | + | 0.427127i | \(0.859526\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 6.79495 | + | 11.7692i | 0.737016 | + | 1.27655i | ||||
\(86\) | 0 | 0 | ||||||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | 5.51608 | 0.584703 | 0.292352 | − | 0.956311i | \(-0.405562\pi\) | ||||
0.292352 | + | 0.956311i | \(0.405562\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 0 | 0 | ||||||||
\(92\) | 0 | 0 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0 | 0 | ||||||||
\(95\) | 6.16752 | + | 10.6825i | 0.632774 | + | 1.09600i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 0.894003 | − | 1.54846i | 0.0907722 | − | 0.157222i | −0.817064 | − | 0.576547i | \(-0.804400\pi\) |
0.907836 | + | 0.419325i | \(0.137733\pi\) | |||||||
\(98\) | 0 | 0 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 6.69534 | − | 11.5967i | 0.666211 | − | 1.15391i | −0.312744 | − | 0.949837i | \(-0.601248\pi\) |
0.978955 | − | 0.204074i | \(-0.0654183\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.10164 | − | 1.90810i | −0.108548 | − | 0.188010i | 0.806634 | − | 0.591051i | \(-0.201287\pi\) |
−0.915182 | + | 0.403040i | \(0.867953\pi\) | |||||||
\(104\) | 0 | 0 | ||||||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 0 | 0 | ||||||||
\(107\) | 9.86567 | 0.953750 | 0.476875 | − | 0.878971i | \(-0.341769\pi\) | ||||
0.476875 | + | 0.878971i | \(0.341769\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −3.08680 | −0.295662 | −0.147831 | − | 0.989013i | \(-0.547229\pi\) | ||||
−0.147831 | + | 0.989013i | \(0.547229\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 0 | 0 | ||||||||
\(113\) | −0.218815 | − | 0.378999i | −0.0205844 | − | 0.0356532i | 0.855550 | − | 0.517721i | \(-0.173219\pi\) |
−0.876134 | + | 0.482067i | \(0.839886\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 5.26142 | − | 9.11304i | 0.490630 | − | 0.849796i | ||||
\(116\) | 0 | 0 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 0 | 0 | ||||||||
\(119\) | 0 | 0 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.55595 | + | 7.89113i | 0.414177 | + | 0.717376i | ||||
\(122\) | 0 | 0 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 0 | 0 | ||||||||
\(125\) | −9.19461 | −0.822391 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −5.75958 | −0.511080 | −0.255540 | − | 0.966798i | \(-0.582253\pi\) | ||||
−0.255540 | + | 0.966798i | \(0.582253\pi\) | |||||||
\(128\) | 0 | 0 | ||||||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −0.714865 | − | 1.23818i | −0.0624580 | − | 0.108180i | 0.833106 | − | 0.553114i | \(-0.186561\pi\) |
−0.895564 | + | 0.444934i | \(0.853227\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0 | 0 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 0 | 0 | ||||||||
\(137\) | 5.59335 | − | 9.68796i | 0.477872 | − | 0.827698i | −0.521806 | − | 0.853064i | \(-0.674742\pi\) |
0.999678 | + | 0.0253656i | \(0.00807500\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 7.87024 | + | 13.6317i | 0.667545 | + | 1.15622i | 0.978589 | + | 0.205826i | \(0.0659881\pi\) |
−0.311044 | + | 0.950396i | \(0.600679\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 0 | 0 | ||||||||
\(143\) | 7.69509 | 0.643496 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −7.90157 | −0.656189 | ||||||||
\(146\) | 0 | 0 | ||||||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 0 | 0 | ||||||||
\(149\) | 3.96513 | + | 6.86780i | 0.324836 | + | 0.562632i | 0.981479 | − | 0.191569i | \(-0.0613576\pi\) |
−0.656643 | + | 0.754201i | \(0.728024\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.39683 | − | 9.34758i | 0.439188 | − | 0.760696i | −0.558439 | − | 0.829545i | \(-0.688600\pi\) |
0.997627 | + | 0.0688499i | \(0.0219329\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | −6.05016 | + | 10.4792i | −0.485960 | + | 0.841708i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −10.5884 | − | 18.3396i | −0.845045 | − | 1.46366i | −0.885582 | − | 0.464483i | \(-0.846240\pi\) |
0.0405373 | − | 0.999178i | \(-0.487093\pi\) | |||||||
\(158\) | 0 | 0 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0 | 0 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −1.07310 | −0.0840520 | −0.0420260 | − | 0.999117i | \(-0.513381\pi\) | ||||
−0.0420260 | + | 0.999117i | \(0.513381\pi\) | |||||||
\(164\) | 0 | 0 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 0 | 0 | ||||||||
\(167\) | 7.71638 | + | 13.3652i | 0.597112 | + | 1.03423i | 0.993245 | + | 0.116035i | \(0.0370185\pi\) |
−0.396133 | + | 0.918193i | \(0.629648\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −9.18094 | + | 15.9018i | −0.706226 | + | 1.22322i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 0 | 0 | ||||||||
\(173\) | 10.1810 | − | 17.6340i | 0.774046 | − | 1.34069i | −0.161283 | − | 0.986908i | \(-0.551563\pi\) |
0.935329 | − | 0.353779i | \(-0.115103\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0 | 0 | ||||||||
\(179\) | 6.09920 | 0.455876 | 0.227938 | − | 0.973676i | \(-0.426802\pi\) | ||||
0.227938 | + | 0.973676i | \(0.426802\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 10.0056 | 0.743714 | 0.371857 | − | 0.928290i | \(-0.378721\pi\) | ||||
0.371857 | + | 0.928290i | \(0.378721\pi\) | |||||||
\(182\) | 0 | 0 | ||||||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 0 | 0 | ||||||||
\(185\) | −6.80065 | − | 11.7791i | −0.499993 | − | 0.866014i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 3.70470 | − | 6.41673i | 0.270915 | − | 0.469238i | ||||
\(188\) | 0 | 0 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −11.0993 | + | 19.2246i | −0.803120 | + | 1.39104i | 0.114433 | + | 0.993431i | \(0.463495\pi\) |
−0.917553 | + | 0.397613i | \(0.869839\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 13.3080 | + | 23.0501i | 0.957930 | + | 1.65918i | 0.727516 | + | 0.686091i | \(0.240675\pi\) |
0.230414 | + | 0.973093i | \(0.425992\pi\) | |||||||
\(194\) | 0 | 0 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 0 | 0 | ||||||||
\(197\) | −10.1696 | −0.724551 | −0.362276 | − | 0.932071i | \(-0.618000\pi\) | ||||
−0.362276 | + | 0.932071i | \(0.618000\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 3.32485 | 0.235693 | 0.117846 | − | 0.993032i | \(-0.462401\pi\) | ||||
0.117846 | + | 0.993032i | \(0.462401\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 0 | 0 | ||||||||
\(203\) | 0 | 0 | ||||||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 7.63618 | − | 13.2263i | 0.533334 | − | 0.923762i | ||||
\(206\) | 0 | 0 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 0 | 0 | ||||||||
\(209\) | 3.36262 | − | 5.82423i | 0.232597 | − | 0.402870i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −1.29535 | − | 2.24361i | −0.0891755 | − | 0.154456i | 0.817987 | − | 0.575236i | \(-0.195090\pi\) |
−0.907163 | + | 0.420780i | \(0.861757\pi\) | |||||||
\(212\) | 0 | 0 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 0 | 0 | ||||||||
\(215\) | −12.3350 | −0.841243 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 0 | 0 | ||||||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 15.0988 | + | 26.1518i | 1.01565 | + | 1.75916i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −12.4029 | + | 21.4824i | −0.830556 | + | 1.43857i | 0.0670411 | + | 0.997750i | \(0.478644\pi\) |
−0.897598 | + | 0.440816i | \(0.854689\pi\) | |||||||
\(224\) | 0 | 0 | ||||||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 0 | 0 | ||||||||
\(227\) | 3.55125 | − | 6.15095i | 0.235705 | − | 0.408253i | −0.723772 | − | 0.690039i | \(-0.757593\pi\) |
0.959477 | + | 0.281786i | \(0.0909267\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 3.23252 | + | 5.59889i | 0.213611 | + | 0.369985i | 0.952842 | − | 0.303467i | \(-0.0981442\pi\) |
−0.739231 | + | 0.673452i | \(0.764811\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 0 | 0 | ||||||||
\(233\) | −8.85900 | −0.580372 | −0.290186 | − | 0.956970i | \(-0.593717\pi\) | ||||
−0.290186 | + | 0.956970i | \(0.593717\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 14.2533 | 0.929782 | ||||||||
\(236\) | 0 | 0 | ||||||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 0 | 0 | ||||||||
\(239\) | −8.60836 | − | 14.9101i | −0.556828 | − | 0.964455i | −0.997759 | − | 0.0669138i | \(-0.978685\pi\) |
0.440930 | − | 0.897541i | \(-0.354649\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.1106 | + | 17.5120i | −0.651279 | + | 1.12805i | 0.331534 | + | 0.943443i | \(0.392434\pi\) |
−0.982813 | + | 0.184604i | \(0.940900\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 0 | 0 | ||||||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 13.7046 | + | 23.7370i | 0.872001 | + | 1.51035i | ||||
\(248\) | 0 | 0 | ||||||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −7.32214 | −0.462169 | −0.231085 | − | 0.972934i | \(-0.574227\pi\) | ||||
−0.231085 | + | 0.972934i | \(0.574227\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −5.73720 | −0.360695 | ||||||||
\(254\) | 0 | 0 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0 | 0 | ||||||||
\(257\) | 3.07308 | + | 5.32274i | 0.191694 | + | 0.332023i | 0.945812 | − | 0.324716i | \(-0.105269\pi\) |
−0.754118 | + | 0.656739i | \(0.771935\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 0 | 0 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 0 | 0 | ||||||||
\(263\) | −0.0824634 | + | 0.142831i | −0.00508491 | + | 0.00880732i | −0.868557 | − | 0.495590i | \(-0.834952\pi\) |
0.863472 | + | 0.504397i | \(0.168285\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 17.6489 | + | 30.5689i | 1.08417 | + | 1.87783i | ||||
\(266\) | 0 | 0 | ||||||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 0 | 0 | ||||||||
\(269\) | −3.72954 | −0.227394 | −0.113697 | − | 0.993515i | \(-0.536269\pi\) | ||||
−0.113697 | + | 0.993515i | \(0.536269\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0.787304 | 0.0478253 | 0.0239127 | − | 0.999714i | \(-0.492388\pi\) | ||||
0.0239127 | + | 0.999714i | \(0.492388\pi\) | |||||||
\(272\) | 0 | 0 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 0 | 0 | ||||||||
\(275\) | −0.928693 | − | 1.60854i | −0.0560023 | − | 0.0969988i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 1.62954 | − | 2.82245i | 0.0979096 | − | 0.169584i | −0.812910 | − | 0.582390i | \(-0.802118\pi\) |
0.910819 | + | 0.412805i | \(0.135451\pi\) | |||||||
\(278\) | 0 | 0 | ||||||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −9.39147 | + | 16.2665i | −0.560248 | + | 0.970379i | 0.437226 | + | 0.899352i | \(0.355961\pi\) |
−0.997474 | + | 0.0710269i | \(0.977372\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 6.41848 | + | 11.1171i | 0.381539 | + | 0.660845i | 0.991282 | − | 0.131754i | \(-0.0420608\pi\) |
−0.609743 | + | 0.792599i | \(0.708727\pi\) | |||||||
\(284\) | 0 | 0 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0 | 0 | ||||||||
\(287\) | 0 | 0 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.0764 | 0.710377 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 0 | 0 | ||||||||
\(293\) | 13.6293 | + | 23.6066i | 0.796230 | + | 1.37911i | 0.922055 | + | 0.387058i | \(0.126509\pi\) |
−0.125825 | + | 0.992052i | \(0.540158\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 17.9806 | − | 31.1434i | 1.04687 | − | 1.81324i | ||||
\(296\) | 0 | 0 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 0 | 0 | ||||||||
\(299\) | 11.6912 | − | 20.2497i | 0.676118 | − | 1.17107i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 0 | 0 | ||||||||
\(302\) | 0 | 0 | ||||||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −17.2820 | −0.989563 | ||||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 24.4623 | 1.39614 | 0.698069 | − | 0.716030i | \(-0.254043\pi\) | ||||
0.698069 | + | 0.716030i | \(0.254043\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −8.58916 | − | 14.8769i | −0.487047 | − | 0.843590i | 0.512842 | − | 0.858483i | \(-0.328593\pi\) |
−0.999889 | + | 0.0148930i | \(0.995259\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −7.93226 | + | 13.7391i | −0.448358 | + | 0.776578i | −0.998279 | − | 0.0586380i | \(-0.981324\pi\) |
0.549922 | + | 0.835216i | \(0.314658\pi\) | |||||||
\(314\) | 0 | 0 | ||||||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 0 | 0 | ||||||||
\(317\) | −11.3626 | + | 19.6806i | −0.638188 | + | 1.10537i | 0.347642 | + | 0.937627i | \(0.386983\pi\) |
−0.985830 | + | 0.167747i | \(0.946351\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 2.15402 | + | 3.73088i | 0.120602 | + | 0.208889i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 0 | 0 | ||||||||
\(323\) | 26.3916 | 1.46847 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 7.56990 | 0.419903 | ||||||||
\(326\) | 0 | 0 | ||||||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0 | 0 | ||||||||
\(329\) | 0 | 0 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −12.1140 | + | 20.9821i | −0.665848 | + | 1.15328i | 0.313207 | + | 0.949685i | \(0.398597\pi\) |
−0.979055 | + | 0.203597i | \(0.934737\pi\) | |||||||
\(332\) | 0 | 0 | ||||||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 0 | 0 | ||||||||
\(335\) | 10.2242 | − | 17.7088i | 0.558605 | − | 0.967533i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −2.20181 | − | 3.81365i | −0.119940 | − | 0.207743i | 0.799803 | − | 0.600262i | \(-0.204937\pi\) |
−0.919744 | + | 0.392519i | \(0.871604\pi\) | |||||||
\(338\) | 0 | 0 | ||||||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.59726 | 0.357262 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 0 | 0 | ||||||||
\(344\) | 0 | 0 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 0 | 0 | ||||||||
\(347\) | −6.12528 | − | 10.6093i | −0.328823 | − | 0.569537i | 0.653456 | − | 0.756965i | \(-0.273318\pi\) |
−0.982278 | + | 0.187427i | \(0.939985\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 7.19444 | − | 12.4611i | 0.385110 | − | 0.667030i | −0.606675 | − | 0.794950i | \(-0.707497\pi\) |
0.991784 | + | 0.127921i | \(0.0408303\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | −4.40835 | + | 7.63549i | −0.234633 | + | 0.406396i | −0.959166 | − | 0.282844i | \(-0.908722\pi\) |
0.724533 | + | 0.689240i | \(0.242055\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −2.84417 | − | 4.92624i | −0.150953 | − | 0.261458i | ||||
\(356\) | 0 | 0 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 0 | 0 | ||||||||
\(359\) | −6.09819 | −0.321850 | −0.160925 | − | 0.986967i | \(-0.551448\pi\) | ||||
−0.160925 | + | 0.986967i | \(0.551448\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.95462 | 0.260770 | ||||||||
\(362\) | 0 | 0 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 0 | 0 | ||||||||
\(365\) | 8.85761 | + | 15.3418i | 0.463628 | + | 0.803028i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 3.45814 | − | 5.98967i | 0.180513 | − | 0.312658i | −0.761542 | − | 0.648115i | \(-0.775557\pi\) |
0.942055 | + | 0.335457i | \(0.108891\pi\) | |||||||
\(368\) | 0 | 0 | ||||||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 0 | 0 | ||||||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 11.9489 | + | 20.6961i | 0.618691 | + | 1.07160i | 0.989725 | + | 0.142985i | \(0.0456701\pi\) |
−0.371034 | + | 0.928619i | \(0.620997\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 0 | 0 | ||||||||
\(377\) | −17.5577 | −0.904269 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 34.6719 | 1.78097 | 0.890487 | − | 0.455008i | \(-0.150364\pi\) | ||||
0.890487 | + | 0.455008i | \(0.150364\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 0 | 0 | ||||||||
\(383\) | 9.71507 | + | 16.8270i | 0.496417 | + | 0.859820i | 0.999991 | − | 0.00413220i | \(-0.00131532\pi\) |
−0.503574 | + | 0.863952i | \(0.667982\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 0 | 0 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 0 | 0 | ||||||||
\(389\) | −16.3172 | + | 28.2623i | −0.827317 | + | 1.43295i | 0.0728190 | + | 0.997345i | \(0.476800\pi\) |
−0.900136 | + | 0.435610i | \(0.856533\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −11.2571 | − | 19.4979i | −0.569297 | − | 0.986051i | ||||
\(392\) | 0 | 0 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 0 | 0 | ||||||||
\(395\) | 6.94799 | 0.349591 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 6.23613 | 0.312982 | 0.156491 | − | 0.987679i | \(-0.449982\pi\) | ||||
0.156491 | + | 0.987679i | \(0.449982\pi\) | |||||||
\(398\) | 0 | 0 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −12.3672 | − | 21.4207i | −0.617591 | − | 1.06970i | −0.989924 | − | 0.141599i | \(-0.954776\pi\) |
0.372333 | − | 0.928099i | \(-0.378558\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −13.4438 | + | 23.2853i | −0.669683 | + | 1.15992i | ||||
\(404\) | 0 | 0 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 0 | 0 | ||||||||
\(407\) | −3.70781 | + | 6.42211i | −0.183789 | + | 0.318332i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 11.5749 | + | 20.0484i | 0.572344 | + | 0.991329i | 0.996325 | + | 0.0856575i | \(0.0272991\pi\) |
−0.423981 | + | 0.905671i | \(0.639368\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 0 | 0 | ||||||||
\(413\) | 0 | 0 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 37.7473 | 1.85294 | ||||||||
\(416\) | 0 | 0 | ||||||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 0.703260 | + | 1.21808i | 0.0343565 | + | 0.0595072i | 0.882692 | − | 0.469951i | \(-0.155729\pi\) |
−0.848336 | + | 0.529458i | \(0.822395\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −0.663904 | + | 1.14992i | −0.0323567 | + | 0.0560435i | −0.881750 | − | 0.471716i | \(-0.843635\pi\) |
0.849394 | + | 0.527760i | \(0.176968\pi\) | |||||||
\(422\) | 0 | 0 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 0 | 0 | ||||||||
\(425\) | 3.64443 | − | 6.31234i | 0.176781 | − | 0.306193i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 0 | 0 | ||||||||
\(428\) | 0 | 0 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −5.66756 | −0.272997 | −0.136498 | − | 0.990640i | \(-0.543585\pi\) | ||||
−0.136498 | + | 0.990640i | \(0.543585\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 1.60371 | 0.0770696 | 0.0385348 | − | 0.999257i | \(-0.487731\pi\) | ||||
0.0385348 | + | 0.999257i | \(0.487731\pi\) | |||||||
\(434\) | 0 | 0 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | −10.2177 | − | 17.6975i | −0.488777 | − | 0.846587i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.227323 | − | 0.393735i | 0.0108495 | − | 0.0187919i | −0.860550 | − | 0.509367i | \(-0.829880\pi\) |
0.871399 | + | 0.490575i | \(0.163213\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 0 | 0 | ||||||||
\(443\) | 9.31442 | − | 16.1331i | 0.442542 | − | 0.766505i | −0.555336 | − | 0.831626i | \(-0.687410\pi\) |
0.997877 | + | 0.0651217i | \(0.0207436\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −6.95099 | − | 12.0395i | −0.329508 | − | 0.570725i | ||||
\(446\) | 0 | 0 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 0 | 0 | ||||||||
\(449\) | 14.2330 | 0.671696 | 0.335848 | − | 0.941916i | \(-0.390977\pi\) | ||||
0.335848 | + | 0.941916i | \(0.390977\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −8.32671 | −0.392089 | ||||||||
\(452\) | 0 | 0 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 0 | 0 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −14.6729 | + | 25.4142i | −0.686370 | + | 1.18883i | 0.286634 | + | 0.958040i | \(0.407464\pi\) |
−0.973004 | + | 0.230788i | \(0.925870\pi\) | |||||||
\(458\) | 0 | 0 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 12.6587 | − | 21.9254i | 0.589572 | − | 1.02117i | −0.404716 | − | 0.914442i | \(-0.632630\pi\) |
0.994288 | − | 0.106727i | \(-0.0340371\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.6503 | − | 20.1789i | −0.541435 | − | 0.937793i | −0.998822 | − | 0.0485250i | \(-0.984548\pi\) |
0.457387 | − | 0.889268i | \(-0.348785\pi\) | |||||||
\(464\) | 0 | 0 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0 | 0 | ||||||||
\(467\) | −41.6819 | −1.92881 | −0.964403 | − | 0.264436i | \(-0.914814\pi\) | ||||
−0.964403 | + | 0.264436i | \(0.914814\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0 | 0 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 0 | 0 | ||||||||
\(473\) | 3.36262 | + | 5.82423i | 0.154613 | + | 0.267798i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 3.30791 | − | 5.72947i | 0.151777 | − | 0.262886i | ||||
\(476\) | 0 | 0 | ||||||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0 | 0 | ||||||||
\(479\) | 2.76946 | − | 4.79684i | 0.126540 | − | 0.219173i | −0.795794 | − | 0.605567i | \(-0.792946\pi\) |
0.922334 | + | 0.386394i | \(0.126280\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −15.1114 | − | 26.1737i | −0.689021 | − | 1.19342i | ||||
\(482\) | 0 | 0 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −4.50624 | −0.204618 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −24.6714 | −1.11797 | −0.558985 | − | 0.829178i | \(-0.688809\pi\) | ||||
−0.558985 | + | 0.829178i | \(0.688809\pi\) | |||||||
\(488\) | 0 | 0 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 10.0509 | + | 17.4087i | 0.453590 | + | 0.785642i | 0.998606 | − | 0.0527842i | \(-0.0168096\pi\) |
−0.545015 | + | 0.838426i | \(0.683476\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −8.45294 | + | 14.6409i | −0.380701 | + | 0.659394i | ||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0 | 0 | ||||||||
\(497\) | 0 | 0 | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −17.7587 | − | 30.7589i | −0.794987 | − | 1.37696i | −0.922848 | − | 0.385166i | \(-0.874144\pi\) |
0.127861 | − | 0.991792i | \(-0.459189\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 0 | 0 | ||||||||
\(503\) | −24.2236 | −1.08008 | −0.540039 | − | 0.841640i | \(-0.681590\pi\) | ||||
−0.540039 | + | 0.841640i | \(0.681590\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −33.7480 | −1.50177 | ||||||||
\(506\) | 0 | 0 | ||||||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 0 | 0 | ||||||||
\(509\) | −3.86723 | − | 6.69824i | −0.171412 | − | 0.296894i | 0.767502 | − | 0.641047i | \(-0.221500\pi\) |
−0.938914 | + | 0.344153i | \(0.888166\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 0 | 0 | ||||||||
\(512\) | 0 | 0 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 0 | 0 | ||||||||
\(515\) | −2.77642 | + | 4.80891i | −0.122344 | + | 0.211906i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −3.88555 | − | 6.72997i | −0.170886 | − | 0.295984i | ||||
\(518\) | 0 | 0 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −29.8099 | −1.30600 | −0.652998 | − | 0.757360i | \(-0.726489\pi\) | ||||
−0.652998 | + | 0.757360i | \(0.726489\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.52436 | 0.154109 | 0.0770547 | − | 0.997027i | \(-0.475448\pi\) | ||||
0.0770547 | + | 0.997027i | \(0.475448\pi\) | |||||||
\(524\) | 0 | 0 | ||||||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 0 | 0 | ||||||||
\(527\) | 12.9447 | + | 22.4208i | 0.563879 | + | 0.976667i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 2.78347 | − | 4.82110i | 0.121020 | − | 0.209613i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 16.9680 | − | 29.3895i | 0.734967 | − | 1.27300i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −12.4320 | − | 21.5329i | −0.537484 | − | 0.930950i | ||||
\(536\) | 0 | 0 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 0 | 0 | ||||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −27.6871 | −1.19036 | −0.595180 | − | 0.803593i | \(-0.702919\pi\) | ||||
−0.595180 | + | 0.803593i | \(0.702919\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 0 | 0 | ||||||||
\(545\) | 3.88977 | + | 6.73729i | 0.166620 | + | 0.288594i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −16.6136 | + | 28.7756i | −0.710347 | + | 1.23036i | 0.254380 | + | 0.967104i | \(0.418129\pi\) |
−0.964727 | + | 0.263253i | \(0.915205\pi\) | |||||||
\(548\) | 0 | 0 | ||||||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −7.67241 | + | 13.2890i | −0.326856 | + | 0.566131i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0 | 0 | ||||||||
\(554\) | 0 | 0 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0 | 0 | ||||||||
\(557\) | 15.6175 | 0.661733 | 0.330866 | − | 0.943678i | \(-0.392659\pi\) | ||||
0.330866 | + | 0.943678i | \(0.392659\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −27.4092 | −1.15928 | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0 | 0 | ||||||||
\(563\) | −9.75592 | − | 16.8977i | −0.411163 | − | 0.712155i | 0.583854 | − | 0.811858i | \(-0.301544\pi\) |
−0.995017 | + | 0.0997034i | \(0.968211\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −0.551472 | + | 0.955177i | −0.0232006 | + | 0.0401846i | ||||
\(566\) | 0 | 0 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 0 | 0 | ||||||||
\(569\) | 3.59181 | − | 6.22119i | 0.150576 | − | 0.260806i | −0.780863 | − | 0.624702i | \(-0.785220\pi\) |
0.931439 | + | 0.363896i | \(0.118554\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −14.7886 | − | 25.6147i | −0.618886 | − | 1.07194i | −0.989689 | − | 0.143230i | \(-0.954251\pi\) |
0.370804 | − | 0.928711i | \(-0.379082\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 0 | 0 | ||||||||
\(575\) | −5.64386 | −0.235365 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −10.3782 | −0.432051 | −0.216025 | − | 0.976388i | \(-0.569309\pi\) | ||||
−0.216025 | + | 0.976388i | \(0.569309\pi\) | |||||||
\(578\) | 0 | 0 | ||||||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0 | 0 | ||||||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 9.62244 | − | 16.6666i | 0.398521 | − | 0.690259i | ||||
\(584\) | 0 | 0 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0 | 0 | ||||||||
\(587\) | −14.4563 | + | 25.0391i | −0.596677 | + | 1.03348i | 0.396630 | + | 0.917978i | \(0.370179\pi\) |
−0.993308 | + | 0.115497i | \(0.963154\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 11.7494 | + | 20.3505i | 0.484125 | + | 0.838530i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0 | 0 | ||||||||
\(593\) | −20.5290 | −0.843024 | −0.421512 | − | 0.906823i | \(-0.638500\pi\) | ||||
−0.421512 | + | 0.906823i | \(0.638500\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 0 | 0 | ||||||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 0 | 0 | ||||||||
\(599\) | 3.91652 | + | 6.78361i | 0.160025 | + | 0.277171i | 0.934877 | − | 0.354971i | \(-0.115509\pi\) |
−0.774853 | + | 0.632142i | \(0.782176\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −7.27021 | + | 12.5924i | −0.296558 | + | 0.513654i | −0.975346 | − | 0.220681i | \(-0.929172\pi\) |
0.678788 | + | 0.734334i | \(0.262505\pi\) | |||||||
\(602\) | 0 | 0 | ||||||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 0 | 0 | ||||||||
\(605\) | 11.4822 | − | 19.8877i | 0.466817 | − | 0.808551i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 15.2755 | + | 26.4579i | 0.620013 | + | 1.07389i | 0.989483 | + | 0.144651i | \(0.0462060\pi\) |
−0.369470 | + | 0.929243i | \(0.620461\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 31.6716 | 1.28130 | ||||||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 28.9292 | 1.16844 | 0.584220 | − | 0.811595i | \(-0.301401\pi\) | ||||
0.584220 | + | 0.811595i | \(0.301401\pi\) | |||||||
\(614\) | 0 | 0 | ||||||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 0 | 0 | ||||||||
\(617\) | −20.2106 | − | 35.0059i | −0.813650 | − | 1.40928i | −0.910293 | − | 0.413964i | \(-0.864144\pi\) |
0.0966430 | − | 0.995319i | \(-0.469189\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 9.05857 | − | 15.6899i | 0.364095 | − | 0.630631i | −0.624536 | − | 0.780996i | \(-0.714712\pi\) |
0.988630 | + | 0.150366i | \(0.0480451\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 0 | 0 | ||||||||
\(623\) | 0 | 0 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.9657 | + | 25.9214i | 0.598629 | + | 1.03686i | ||||
\(626\) | 0 | 0 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 0 | 0 | ||||||||
\(629\) | −29.1008 | −1.16032 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 8.50373 | 0.338528 | 0.169264 | − | 0.985571i | \(-0.445861\pi\) | ||||
0.169264 | + | 0.985571i | \(0.445861\pi\) | |||||||
\(632\) | 0 | 0 | ||||||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 0 | 0 | ||||||||
\(635\) | 7.25783 | + | 12.5709i | 0.288018 | + | 0.498862i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 0 | 0 | ||||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 11.0020 | − | 19.0561i | 0.434554 | − | 0.752669i | −0.562705 | − | 0.826658i | \(-0.690239\pi\) |
0.997259 | + | 0.0739883i | \(0.0235727\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 13.1156 | + | 22.7170i | 0.517230 | + | 0.895869i | 0.999800 | + | 0.0200115i | \(0.00637029\pi\) |
−0.482569 | + | 0.875858i | \(0.660296\pi\) | |||||||
\(644\) | 0 | 0 | ||||||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | 39.1690 | 1.53989 | 0.769946 | − | 0.638108i | \(-0.220283\pi\) | ||||
0.769946 | + | 0.638108i | \(0.220283\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −19.6066 | −0.769626 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 0 | 0 | ||||||||
\(653\) | 6.83467 | + | 11.8380i | 0.267461 | + | 0.463257i | 0.968206 | − | 0.250156i | \(-0.0804819\pi\) |
−0.700744 | + | 0.713413i | \(0.747149\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −1.80165 | + | 3.12054i | −0.0703962 | + | 0.121930i | ||||
\(656\) | 0 | 0 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 0 | 0 | ||||||||
\(659\) | 3.06683 | − | 5.31191i | 0.119467 | − | 0.206923i | −0.800090 | − | 0.599880i | \(-0.795215\pi\) |
0.919557 | + | 0.392958i | \(0.128548\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 22.3118 | + | 38.6451i | 0.867828 | + | 1.50312i | 0.864212 | + | 0.503128i | \(0.167818\pi\) |
0.00361604 | + | 0.999993i | \(0.498849\pi\) | |||||||
\(662\) | 0 | 0 | ||||||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 0 | 0 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 13.0904 | 0.506864 | ||||||||
\(668\) | 0 | 0 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 4.71119 | + | 8.16001i | 0.181873 | + | 0.315014i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −16.3833 | + | 28.3767i | −0.631531 | + | 1.09384i | 0.355708 | + | 0.934597i | \(0.384240\pi\) |
−0.987239 | + | 0.159246i | \(0.949094\pi\) | |||||||
\(674\) | 0 | 0 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0 | 0 | ||||||||
\(677\) | 13.5764 | − | 23.5150i | 0.521782 | − | 0.903753i | −0.477897 | − | 0.878416i | \(-0.658601\pi\) |
0.999679 | − | 0.0253373i | \(-0.00806596\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 0 | 0 | ||||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | −38.0668 | −1.45659 | −0.728293 | − | 0.685266i | \(-0.759686\pi\) | ||||
−0.728293 | + | 0.685266i | \(0.759686\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −28.1934 | −1.07721 | ||||||||
\(686\) | 0 | 0 | ||||||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 0 | 0 | ||||||||
\(689\) | 39.2169 | + | 67.9257i | 1.49405 | + | 2.58776i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 6.37848 | − | 11.0478i | 0.242649 | − | 0.420280i | −0.718819 | − | 0.695197i | \(-0.755317\pi\) |
0.961468 | + | 0.274917i | \(0.0886504\pi\) | |||||||
\(692\) | 0 | 0 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 0 | 0 | ||||||||
\(695\) | 19.8351 | − | 34.3554i | 0.752387 | − | 1.30317i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −16.3381 | − | 28.2984i | −0.618849 | − | 1.07188i | ||||
\(698\) | 0 | 0 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −40.6428 | −1.53506 | −0.767528 | − | 0.641015i | \(-0.778514\pi\) | ||||
−0.767528 | + | 0.641015i | \(0.778514\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −26.4137 | −0.996211 | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 0 | 0 | ||||||||
\(707\) | 0 | 0 | ||||||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 3.74552 | − | 6.48743i | 0.140666 | − | 0.243640i | −0.787082 | − | 0.616849i | \(-0.788409\pi\) |
0.927748 | + | 0.373208i | \(0.121742\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 0 | 0 | ||||||||
\(713\) | 10.0232 | − | 17.3607i | 0.375373 | − | 0.650165i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −9.69683 | − | 16.7954i | −0.362641 | − | 0.628112i | ||||
\(716\) | 0 | 0 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 0 | 0 | ||||||||
\(719\) | −3.28113 | −0.122365 | −0.0611827 | − | 0.998127i | \(-0.519487\pi\) | ||||
−0.0611827 | + | 0.998127i | \(0.519487\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0 | 0 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0 | 0 | ||||||||
\(725\) | 2.11898 | + | 3.67018i | 0.0786969 | + | 0.136307i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 8.01088 | − | 13.8753i | 0.297107 | − | 0.514605i | −0.678366 | − | 0.734724i | \(-0.737311\pi\) |
0.975473 | + | 0.220120i | \(0.0706448\pi\) | |||||||
\(728\) | 0 | 0 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −13.1958 | + | 22.8558i | −0.488064 | + | 0.845351i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −14.8123 | − | 25.6556i | −0.547104 | − | 0.947611i | −0.998471 | − | 0.0552733i | \(-0.982397\pi\) |
0.451368 | − | 0.892338i | \(-0.350936\pi\) | |||||||
\(734\) | 0 | 0 | ||||||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 0 | 0 | ||||||||
\(737\) | −11.1487 | −0.410668 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 44.5733 | 1.63966 | 0.819829 | − | 0.572609i | \(-0.194069\pi\) | ||||
0.819829 | + | 0.572609i | \(0.194069\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 0 | 0 | ||||||||
\(743\) | 5.67364 | + | 9.82704i | 0.208146 | + | 0.360519i | 0.951130 | − | 0.308789i | \(-0.0999238\pi\) |
−0.742985 | + | 0.669308i | \(0.766590\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 9.99317 | − | 17.3087i | 0.366121 | − | 0.634141i | ||||
\(746\) | 0 | 0 | ||||||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 0 | 0 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −17.5928 | − | 30.4716i | −0.641970 | − | 1.11192i | −0.984992 | − | 0.172597i | \(-0.944784\pi\) |
0.343023 | − | 0.939327i | \(-0.388549\pi\) | |||||||
\(752\) | 0 | 0 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 0 | 0 | ||||||||
\(755\) | −27.2029 | −0.990014 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 40.9186 | 1.48721 | 0.743605 | − | 0.668619i | \(-0.233114\pi\) | ||||
0.743605 | + | 0.668619i | \(0.233114\pi\) | |||||||
\(758\) | 0 | 0 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 5.72243 | + | 9.91155i | 0.207438 | + | 0.359293i | 0.950907 | − | 0.309477i | \(-0.100154\pi\) |
−0.743469 | + | 0.668771i | \(0.766821\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 0 | 0 | ||||||||
\(764\) | 0 | 0 | ||||||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 0 | 0 | ||||||||
\(767\) | 39.9540 | − | 69.2023i | 1.44265 | − | 2.49875i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −14.9723 | − | 25.9328i | −0.539916 | − | 0.935162i | −0.998908 | − | 0.0467217i | \(-0.985123\pi\) |
0.458992 | − | 0.888440i | \(-0.348211\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 0 | 0 | ||||||||
\(773\) | −7.93155 | −0.285278 | −0.142639 | − | 0.989775i | \(-0.545559\pi\) | ||||
−0.142639 | + | 0.989775i | \(0.545559\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 6.48993 | 0.233125 | ||||||||
\(776\) | 0 | 0 | ||||||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 0 | 0 | ||||||||
\(779\) | −14.8295 | − | 25.6854i | −0.531320 | − | 0.920274i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −1.55068 | + | 2.68586i | −0.0554877 | + | 0.0961075i | ||||
\(782\) | 0 | 0 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 0 | 0 | ||||||||
\(785\) | −26.6855 | + | 46.2207i | −0.952447 | + | 1.64969i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −21.6037 | − | 37.4187i | −0.770089 | − | 1.33383i | −0.937514 | − | 0.347949i | \(-0.886878\pi\) |
0.167425 | − | 0.985885i | \(-0.446455\pi\) | |||||||
\(788\) | 0 | 0 | ||||||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 0 | 0 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −38.4015 | −1.36368 | ||||||||
\(794\) | 0 | 0 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 0 | 0 | ||||||||
\(797\) | 8.34385 | + | 14.4520i | 0.295554 | + | 0.511915i | 0.975114 | − | 0.221706i | \(-0.0711624\pi\) |
−0.679559 | + | 0.733620i | \(0.737829\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 15.2479 | − | 26.4101i | 0.539432 | − | 0.934323i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 0 | 0 | ||||||||
\(803\) | 4.82929 | − | 8.36458i | 0.170422 | − | 0.295180i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 0 | 0 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 0 | 0 | ||||||||
\(809\) | −5.09692 | −0.179198 | −0.0895992 | − | 0.995978i | \(-0.528559\pi\) | ||||
−0.0895992 | + | 0.995978i | \(0.528559\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 10.2996 | 0.361666 | 0.180833 | − | 0.983514i | \(-0.442121\pi\) | ||||
0.180833 | + | 0.983514i | \(0.442121\pi\) | |||||||
\(812\) | 0 | 0 | ||||||||
\(813\) | 0 | 0 | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | 1.35225 | + | 2.34217i | 0.0473674 | + | 0.0820427i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −11.9773 | + | 20.7453i | −0.419033 | + | 0.725787i | ||||
\(818\) | 0 | 0 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −12.6369 | + | 21.8878i | −0.441031 | + | 0.763889i | −0.997766 | − | 0.0668013i | \(-0.978721\pi\) |
0.556735 | + | 0.830690i | \(0.312054\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −4.44391 | − | 7.69707i | −0.154905 | − | 0.268303i | 0.778120 | − | 0.628116i | \(-0.216174\pi\) |
−0.933024 | + | 0.359813i | \(0.882840\pi\) | |||||||
\(824\) | 0 | 0 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 0 | 0 | ||||||||
\(827\) | 13.1680 | 0.457895 | 0.228947 | − | 0.973439i | \(-0.426472\pi\) | ||||
0.228947 | + | 0.973439i | \(0.426472\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 22.6917 | 0.788117 | 0.394058 | − | 0.919085i | \(-0.371071\pi\) | ||||
0.394058 | + | 0.919085i | \(0.371071\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0 | 0 | ||||||||
\(833\) | 0 | 0 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 19.4473 | − | 33.6838i | 0.673002 | − | 1.16567i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 0 | 0 | ||||||||
\(839\) | 14.9632 | − | 25.9171i | 0.516588 | − | 0.894757i | −0.483226 | − | 0.875496i | \(-0.660535\pi\) |
0.999814 | − | 0.0192618i | \(-0.00613161\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 9.58522 | + | 16.6021i | 0.330525 | + | 0.572486i | ||||
\(842\) | 0 | 0 | ||||||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 0 | 0 | ||||||||
\(845\) | 46.2768 | 1.59197 | ||||||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 0 | 0 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 11.2666 | + | 19.5142i | 0.386213 | + | 0.668940i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 6.46929 | − | 11.2051i | 0.221504 | − | 0.383657i | −0.733761 | − | 0.679408i | \(-0.762237\pi\) |
0.955265 | + | 0.295751i | \(0.0955699\pi\) | |||||||
\(854\) | 0 | 0 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 0 | 0 | ||||||||
\(857\) | −4.12252 | + | 7.14042i | −0.140823 | + | 0.243912i | −0.927807 | − | 0.373061i | \(-0.878308\pi\) |
0.786984 | + | 0.616973i | \(0.211641\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.73399 | − | 3.00336i | −0.0591630 | − | 0.102473i | 0.834927 | − | 0.550361i | \(-0.185510\pi\) |
−0.894090 | + | 0.447888i | \(0.852177\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 0 | 0 | ||||||||
\(863\) | −0.512788 | −0.0174555 | −0.00872775 | − | 0.999962i | \(-0.502778\pi\) | ||||
−0.00872775 | + | 0.999962i | \(0.502778\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −51.3175 | −1.74485 | ||||||||
\(866\) | 0 | 0 | ||||||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 0 | 0 | ||||||||
\(869\) | −1.89407 | − | 3.28063i | −0.0642519 | − | 0.111288i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 22.7186 | − | 39.3499i | 0.769792 | − | 1.33332i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | 0 | 0 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −18.1880 | − | 31.5026i | −0.614166 | − | 1.06377i | −0.990530 | − | 0.137295i | \(-0.956159\pi\) |
0.376365 | − | 0.926472i | \(-0.377174\pi\) | |||||||
\(878\) | 0 | 0 | ||||||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 23.3999 | 0.788363 | 0.394181 | − | 0.919033i | \(-0.371028\pi\) | ||||
0.394181 | + | 0.919033i | \(0.371028\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −22.8345 | −0.768442 | −0.384221 | − | 0.923241i | \(-0.625530\pi\) | ||||
−0.384221 | + | 0.923241i | \(0.625530\pi\) | |||||||
\(884\) | 0 | 0 | ||||||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 0 | 0 | ||||||||
\(887\) | 22.0791 | + | 38.2421i | 0.741344 | + | 1.28405i | 0.951883 | + | 0.306460i | \(0.0991446\pi\) |
−0.210539 | + | 0.977585i | \(0.567522\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 0 | 0 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 0 | 0 | ||||||||
\(893\) | 13.8399 | − | 23.9715i | 0.463136 | − | 0.802175i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −7.68579 | − | 13.3122i | −0.256908 | − | 0.444977i | ||||
\(896\) | 0 | 0 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 0 | 0 | ||||||||
\(899\) | −15.0528 | −0.502040 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 75.5219 | 2.51600 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 0 | 0 | ||||||||
\(905\) | −12.6084 | − | 21.8384i | −0.419118 | − | 0.725934i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −3.53884 | + | 6.12946i | −0.117505 | + | 0.203525i | −0.918778 | − | 0.394773i | \(-0.870823\pi\) |
0.801273 | + | 0.598299i | \(0.204156\pi\) | |||||||
\(908\) | 0 | 0 | ||||||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 23.6764 | − | 41.0088i | 0.784435 | − | 1.35868i | −0.144901 | − | 0.989446i | \(-0.546286\pi\) |
0.929336 | − | 0.369235i | \(-0.120380\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | −10.2902 | − | 17.8231i | −0.340555 | − | 0.589859i | ||||
\(914\) | 0 | 0 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 0 | 0 | ||||||||
\(917\) | 0 | 0 | ||||||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −25.9503 | −0.856022 | −0.428011 | − | 0.903773i | \(-0.640786\pi\) | ||||
−0.428011 | + | 0.903773i | \(0.640786\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 0 | 0 | ||||||||
\(923\) | −6.31990 | − | 10.9464i | −0.208022 | − | 0.360305i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −3.64748 | + | 6.31763i | −0.119929 | + | 0.207722i | ||||
\(926\) | 0 | 0 | ||||||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 0 | 0 | ||||||||
\(929\) | −2.66110 | + | 4.60917i | −0.0873080 | + | 0.151222i | −0.906372 | − | 0.422480i | \(-0.861160\pi\) |
0.819064 | + | 0.573702i | \(0.194493\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 0 | 0 | ||||||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 0 | 0 | ||||||||
\(935\) | −18.6736 | −0.610694 | ||||||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −30.4266 | −0.993994 | −0.496997 | − | 0.867752i | \(-0.665564\pi\) | ||||
−0.496997 | + | 0.867752i | \(0.665564\pi\) | |||||||
\(938\) | 0 | 0 | ||||||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 10.8818 | + | 18.8479i | 0.354738 | + | 0.614424i | 0.987073 | − | 0.160271i | \(-0.0512368\pi\) |
−0.632335 | + | 0.774695i | \(0.717903\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −12.6508 | + | 21.9118i | −0.411966 | + | 0.713546i | ||||
\(944\) | 0 | 0 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 0 | 0 | ||||||||
\(947\) | −17.4392 | + | 30.2055i | −0.566697 | + | 0.981548i | 0.430192 | + | 0.902737i | \(0.358446\pi\) |
−0.996890 | + | 0.0788112i | \(0.974888\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 19.6821 | + | 34.0904i | 0.638908 | + | 1.10662i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 0 | 0 | ||||||||
\(953\) | −27.3744 | −0.886742 | −0.443371 | − | 0.896338i | \(-0.646218\pi\) | ||||
−0.443371 | + | 0.896338i | \(0.646218\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 55.9465 | 1.81039 | ||||||||
\(956\) | 0 | 0 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 0 | 0 | ||||||||
\(959\) | 0 | 0 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 3.97419 | − | 6.88350i | 0.128200 | − | 0.222048i | ||||
\(962\) | 0 | 0 | ||||||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 0 | 0 | ||||||||
\(965\) | 33.5396 | − | 58.0924i | 1.07968 | − | 1.87006i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 7.21327 | + | 12.4937i | 0.231963 | + | 0.401772i | 0.958386 | − | 0.285476i | \(-0.0921518\pi\) |
−0.726423 | + | 0.687248i | \(0.758819\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −26.5185 | −0.851018 | −0.425509 | − | 0.904954i | \(-0.639905\pi\) | ||||
−0.425509 | + | 0.904954i | \(0.639905\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 0 | 0 | ||||||||
\(974\) | 0 | 0 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 0 | 0 | ||||||||
\(977\) | −20.1867 | − | 34.9643i | −0.645829 | − | 1.11861i | −0.984109 | − | 0.177563i | \(-0.943179\pi\) |
0.338281 | − | 0.941045i | \(-0.390155\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −3.78978 | + | 6.56408i | −0.121122 | + | 0.209789i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 0 | 0 | ||||||||
\(983\) | −10.7299 | + | 18.5847i | −0.342230 | + | 0.592759i | −0.984846 | − | 0.173429i | \(-0.944515\pi\) |
0.642617 | + | 0.766188i | \(0.277849\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 12.8150 | + | 22.1962i | 0.408319 | + | 0.707230i | ||||
\(986\) | 0 | 0 | ||||||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 20.4353 | 0.649806 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −14.5068 | −0.460824 | −0.230412 | − | 0.973093i | \(-0.574007\pi\) | ||||
−0.230412 | + | 0.973093i | \(0.574007\pi\) | |||||||
\(992\) | 0 | 0 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 0 | 0 | ||||||||
\(995\) | −4.18975 | − | 7.25687i | −0.132824 | − | 0.230058i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −18.2204 | + | 31.5587i | −0.577047 | + | 0.999475i | 0.418769 | + | 0.908093i | \(0.362462\pi\) |
−0.995816 | + | 0.0913822i | \(0.970871\pi\) | |||||||
\(998\) | 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 \(a_p\))