Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [819,2,Mod(100,819)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(819, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("819.100");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 819 = 3^{2} \cdot 7 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 819.n (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.53974792554\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(8\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} + 11 x^{14} - 4 x^{13} + 87 x^{12} - 35 x^{11} + 326 x^{10} - 205 x^{9} + 895 x^{8} - 481 x^{7} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 273) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 100.2 | ||
Root | \(0.857510 + 1.48525i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 819.100 |
Dual form | 819.2.n.e.172.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).
\(n\) | \(92\) | \(379\) | \(703\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.857510 | − | 1.48525i | −0.606351 | − | 1.05023i | −0.991836 | − | 0.127517i | \(-0.959299\pi\) |
0.385485 | − | 0.922714i | \(-0.374034\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.470647 | + | 0.815185i | −0.235324 | + | 0.407592i | ||||
\(5\) | −1.22863 | + | 2.12806i | −0.549462 | + | 0.951695i | 0.448850 | + | 0.893607i | \(0.351834\pi\) |
−0.998311 | + | 0.0580883i | \(0.981500\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 2.18175 | − | 1.49666i | 0.824623 | − | 0.565683i | ||||
\(8\) | −1.81570 | −0.641947 | ||||||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 4.21426 | 1.33267 | ||||||||
\(11\) | 1.03816 | 0.313018 | 0.156509 | − | 0.987677i | \(-0.449976\pi\) | ||||
0.156509 | + | 0.987677i | \(0.449976\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −3.36305 | − | 1.29996i | −0.932742 | − | 0.360544i | ||||
\(14\) | −4.09378 | − | 1.95704i | −1.09411 | − | 0.523042i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 2.49828 | + | 4.32714i | 0.624569 | + | 1.08179i | ||||
\(17\) | 1.50975 | − | 2.61496i | 0.366168 | − | 0.634222i | −0.622795 | − | 0.782385i | \(-0.714003\pi\) |
0.988963 | + | 0.148163i | \(0.0473361\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 3.19341 | 0.732619 | 0.366310 | − | 0.930493i | \(-0.380621\pi\) | ||||
0.366310 | + | 0.930493i | \(0.380621\pi\) | |||||||
\(20\) | −1.15651 | − | 2.00313i | −0.258603 | − | 0.447913i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −0.890235 | − | 1.54193i | −0.189799 | − | 0.328741i | ||||
\(23\) | −1.73601 | − | 3.00685i | −0.361983 | − | 0.626972i | 0.626304 | − | 0.779579i | \(-0.284567\pi\) |
−0.988287 | + | 0.152606i | \(0.951233\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −0.519081 | − | 0.899075i | −0.103816 | − | 0.179815i | ||||
\(26\) | 0.953083 | + | 6.10970i | 0.186915 | + | 1.19821i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 0.193220 | + | 2.48292i | 0.0365151 | + | 0.469229i | ||||
\(29\) | 4.01417 | − | 6.95275i | 0.745413 | − | 1.29109i | −0.204589 | − | 0.978848i | \(-0.565586\pi\) |
0.950002 | − | 0.312245i | \(-0.101081\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −3.48074 | − | 6.02882i | −0.625160 | − | 1.08281i | −0.988510 | − | 0.151156i | \(-0.951700\pi\) |
0.363350 | − | 0.931653i | \(-0.381633\pi\) | |||||||
\(32\) | 2.46889 | − | 4.27625i | 0.436443 | − | 0.755941i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −5.17850 | −0.888106 | ||||||||
\(35\) | 0.504403 | + | 6.48172i | 0.0852598 | + | 1.09561i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.41332 | − | 2.44794i | −0.232348 | − | 0.402439i | 0.726151 | − | 0.687536i | \(-0.241308\pi\) |
−0.958499 | + | 0.285097i | \(0.907974\pi\) | |||||||
\(38\) | −2.73838 | − | 4.74302i | −0.444225 | − | 0.769419i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 2.23083 | − | 3.86391i | 0.352725 | − | 0.610938i | ||||
\(41\) | 2.54107 | − | 4.40125i | 0.396848 | − | 0.687360i | −0.596487 | − | 0.802622i | \(-0.703437\pi\) |
0.993335 | + | 0.115262i | \(0.0367708\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −3.21838 | − | 5.57439i | −0.490798 | − | 0.850087i | 0.509146 | − | 0.860680i | \(-0.329961\pi\) |
−0.999944 | + | 0.0105935i | \(0.996628\pi\) | |||||||
\(44\) | −0.488608 | + | 0.846294i | −0.0736605 | + | 0.127584i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −2.97729 | + | 5.15682i | −0.438977 | + | 0.760331i | ||||
\(47\) | −4.88951 | + | 8.46887i | −0.713208 | + | 1.23531i | 0.250439 | + | 0.968132i | \(0.419425\pi\) |
−0.963647 | + | 0.267180i | \(0.913908\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.52003 | − | 6.53065i | 0.360005 | − | 0.932950i | ||||
\(50\) | −0.890235 | + | 1.54193i | −0.125898 | + | 0.218062i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 2.64252 | − | 2.12969i | 0.366451 | − | 0.295334i | ||||
\(53\) | −5.90947 | − | 10.2355i | −0.811728 | − | 1.40595i | −0.911654 | − | 0.410959i | \(-0.865194\pi\) |
0.0999257 | − | 0.994995i | \(-0.468139\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −1.27552 | + | 2.20927i | −0.171991 | + | 0.297898i | ||||
\(56\) | −3.96140 | + | 2.71748i | −0.529364 | + | 0.363139i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −13.7688 | −1.80793 | ||||||||
\(59\) | 4.47070 | − | 7.74348i | 0.582036 | − | 1.00812i | −0.413202 | − | 0.910639i | \(-0.635590\pi\) |
0.995238 | − | 0.0974764i | \(-0.0310770\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.60893 | −0.334039 | −0.167019 | − | 0.985954i | \(-0.553414\pi\) | ||||
−0.167019 | + | 0.985954i | \(0.553414\pi\) | |||||||
\(62\) | −5.96954 | + | 10.3396i | −0.758133 | + | 1.31312i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 1.52470 | 0.190588 | ||||||||
\(65\) | 6.89834 | − | 5.55958i | 0.855634 | − | 0.689581i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −11.2200 | −1.37074 | −0.685371 | − | 0.728194i | \(-0.740360\pi\) | ||||
−0.685371 | + | 0.728194i | \(0.740360\pi\) | |||||||
\(68\) | 1.42112 | + | 2.46145i | 0.172336 | + | 0.298495i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 9.19445 | − | 6.30731i | 1.09895 | − | 0.753867i | ||||
\(71\) | 1.63013 | + | 2.82347i | 0.193461 | + | 0.335085i | 0.946395 | − | 0.323012i | \(-0.104695\pi\) |
−0.752934 | + | 0.658096i | \(0.771362\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 7.50717 | + | 13.0028i | 0.878648 | + | 1.52186i | 0.852825 | + | 0.522196i | \(0.174887\pi\) |
0.0258228 | + | 0.999667i | \(0.491779\pi\) | |||||||
\(74\) | −2.42387 | + | 4.19827i | −0.281769 | + | 0.488038i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.50297 | + | 2.60322i | −0.172403 | + | 0.298610i | ||||
\(77\) | 2.26501 | − | 1.55377i | 0.258121 | − | 0.177069i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −0.211818 | + | 0.366880i | −0.0238314 | + | 0.0412773i | −0.877695 | − | 0.479219i | \(-0.840920\pi\) |
0.853864 | + | 0.520497i | \(0.174253\pi\) | |||||||
\(80\) | −12.2779 | −1.37271 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −8.71596 | −0.962516 | ||||||||
\(83\) | 1.34088 | 0.147181 | 0.0735904 | − | 0.997289i | \(-0.476554\pi\) | ||||
0.0735904 | + | 0.997289i | \(0.476554\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 3.70986 | + | 6.42567i | 0.402391 | + | 0.696961i | ||||
\(86\) | −5.51958 | + | 9.56019i | −0.595192 | + | 1.03090i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −1.88499 | −0.200941 | ||||||||
\(89\) | 2.65247 | + | 4.59421i | 0.281161 | + | 0.486985i | 0.971671 | − | 0.236338i | \(-0.0759472\pi\) |
−0.690510 | + | 0.723323i | \(0.742614\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.28292 | + | 2.19715i | −0.973114 | + | 0.230324i | ||||
\(92\) | 3.26819 | 0.340732 | ||||||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 16.7712 | 1.72982 | ||||||||
\(95\) | −3.92353 | + | 6.79576i | −0.402546 | + | 0.697230i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.92406 | + | 5.06463i | 0.296894 | + | 0.514235i | 0.975424 | − | 0.220338i | \(-0.0707159\pi\) |
−0.678530 | + | 0.734573i | \(0.737383\pi\) | |||||||
\(98\) | −11.8606 | + | 1.85722i | −1.19810 | + | 0.187607i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 0.977216 | 0.0977216 | ||||||||
\(101\) | 18.5287 | 1.84368 | 0.921840 | − | 0.387572i | \(-0.126686\pi\) | ||||
0.921840 | + | 0.387572i | \(0.126686\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −1.01571 | + | 1.75926i | −0.100081 | + | 0.173345i | −0.911718 | − | 0.410817i | \(-0.865243\pi\) |
0.811637 | + | 0.584162i | \(0.198577\pi\) | |||||||
\(104\) | 6.10629 | + | 2.36034i | 0.598771 | + | 0.231450i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −10.1349 | + | 17.5541i | −0.984385 | + | 1.70500i | ||||
\(107\) | −1.21833 | − | 2.11021i | −0.117781 | − | 0.204002i | 0.801107 | − | 0.598521i | \(-0.204245\pi\) |
−0.918888 | + | 0.394519i | \(0.870911\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −7.85642 | − | 13.6077i | −0.752508 | − | 1.30338i | −0.946604 | − | 0.322400i | \(-0.895510\pi\) |
0.194095 | − | 0.980983i | \(-0.437823\pi\) | |||||||
\(110\) | 4.37509 | 0.417148 | ||||||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 11.9269 | + | 5.70166i | 1.12698 | + | 0.538756i | ||||
\(113\) | −2.52708 | − | 4.37702i | −0.237727 | − | 0.411756i | 0.722335 | − | 0.691544i | \(-0.243069\pi\) |
−0.960062 | + | 0.279788i | \(0.909736\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 8.53167 | 0.795582 | ||||||||
\(116\) | 3.77852 | + | 6.54458i | 0.350826 | + | 0.607649i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −15.3347 | −1.41167 | ||||||||
\(119\) | −0.619813 | − | 7.96477i | −0.0568182 | − | 0.730129i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −9.92222 | −0.902020 | ||||||||
\(122\) | 2.23718 | + | 3.87491i | 0.202545 | + | 0.350818i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 6.55281 | 0.588459 | ||||||||
\(125\) | −9.73529 | −0.870751 | ||||||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 1.84246 | − | 3.19124i | 0.163492 | − | 0.283177i | −0.772627 | − | 0.634861i | \(-0.781058\pi\) |
0.936119 | + | 0.351684i | \(0.114391\pi\) | |||||||
\(128\) | −6.24523 | − | 10.8171i | −0.552006 | − | 0.956102i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −14.1728 | − | 5.47837i | −1.24303 | − | 0.480485i | ||||
\(131\) | 0.924144 | − | 1.60066i | 0.0807428 | − | 0.139851i | −0.822826 | − | 0.568293i | \(-0.807604\pi\) |
0.903569 | + | 0.428442i | \(0.140937\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 6.96722 | − | 4.77944i | 0.604134 | − | 0.414430i | ||||
\(134\) | 9.62127 | + | 16.6645i | 0.831151 | + | 1.43960i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.74126 | + | 4.74799i | −0.235061 | + | 0.407137i | ||||
\(137\) | 1.40759 | − | 2.43802i | 0.120259 | − | 0.208294i | −0.799611 | − | 0.600518i | \(-0.794961\pi\) |
0.919870 | + | 0.392224i | \(0.128294\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.87848 | + | 3.25363i | 0.159331 | + | 0.275969i | 0.934628 | − | 0.355628i | \(-0.115733\pi\) |
−0.775297 | + | 0.631597i | \(0.782400\pi\) | |||||||
\(140\) | −5.52120 | − | 2.63942i | −0.466626 | − | 0.223072i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.79571 | − | 4.84232i | 0.234611 | − | 0.406358i | ||||
\(143\) | −3.49139 | − | 1.34957i | −0.291965 | − | 0.112857i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 9.86389 | + | 17.0848i | 0.819151 | + | 1.41881i | ||||
\(146\) | 12.8750 | − | 22.3001i | 1.06554 | − | 1.84557i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.66070 | 0.218708 | ||||||||
\(149\) | −6.73683 | −0.551902 | −0.275951 | − | 0.961172i | \(-0.588993\pi\) | ||||
−0.275951 | + | 0.961172i | \(0.588993\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −2.70020 | − | 4.67689i | −0.219739 | − | 0.380600i | 0.734989 | − | 0.678079i | \(-0.237187\pi\) |
−0.954728 | + | 0.297479i | \(0.903854\pi\) | |||||||
\(152\) | −5.79828 | −0.470303 | ||||||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −4.25001 | − | 2.03173i | −0.342475 | − | 0.163721i | ||||
\(155\) | 17.1062 | 1.37401 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −5.82721 | − | 10.0930i | −0.465062 | − | 0.805512i | 0.534142 | − | 0.845395i | \(-0.320635\pi\) |
−0.999204 | + | 0.0398832i | \(0.987301\pi\) | |||||||
\(158\) | 0.726546 | 0.0578009 | ||||||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 6.06673 | + | 10.5079i | 0.479617 | + | 0.830722i | ||||
\(161\) | −8.28776 | − | 3.96198i | −0.653167 | − | 0.312248i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 24.2516 | 1.89953 | 0.949766 | − | 0.312960i | \(-0.101321\pi\) | ||||
0.949766 | + | 0.312960i | \(0.101321\pi\) | |||||||
\(164\) | 2.39189 | + | 4.14288i | 0.186775 | + | 0.323504i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.14982 | − | 1.99154i | −0.0892433 | − | 0.154574i | ||||
\(167\) | −8.23216 | + | 14.2585i | −0.637024 | + | 1.10336i | 0.349059 | + | 0.937101i | \(0.386501\pi\) |
−0.986083 | + | 0.166257i | \(0.946832\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | 9.62021 | + | 8.74366i | 0.740016 | + | 0.672589i | ||||
\(170\) | 6.36248 | − | 11.0201i | 0.487980 | − | 0.845207i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 6.05888 | 0.461985 | ||||||||
\(173\) | 20.0405 | 1.52365 | 0.761827 | − | 0.647781i | \(-0.224303\pi\) | ||||
0.761827 | + | 0.647781i | \(0.224303\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −2.47811 | − | 1.18467i | −0.187328 | − | 0.0895524i | ||||
\(176\) | 2.59362 | + | 4.49228i | 0.195501 | + | 0.338618i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 4.54903 | − | 7.87915i | 0.340964 | − | 0.590568i | ||||
\(179\) | 10.0951 | 0.754546 | 0.377273 | − | 0.926102i | \(-0.376862\pi\) | ||||
0.377273 | + | 0.926102i | \(0.376862\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 19.8959 | 1.47885 | 0.739426 | − | 0.673238i | \(-0.235097\pi\) | ||||
0.739426 | + | 0.673238i | \(0.235097\pi\) | |||||||
\(182\) | 11.2235 | + | 11.9034i | 0.831942 | + | 0.882337i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 3.15207 | + | 5.45955i | 0.232374 | + | 0.402483i | ||||
\(185\) | 6.94580 | 0.510666 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.56737 | − | 2.71476i | 0.114617 | − | 0.198523i | ||||
\(188\) | −4.60246 | − | 7.97170i | −0.335669 | − | 0.581396i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 13.4579 | 0.976337 | ||||||||
\(191\) | −15.2774 | −1.10543 | −0.552715 | − | 0.833370i | \(-0.686408\pi\) | ||||
−0.552715 | + | 0.833370i | \(0.686408\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 25.6681 | 1.84763 | 0.923814 | − | 0.382843i | \(-0.125055\pi\) | ||||
0.923814 | + | 0.382843i | \(0.125055\pi\) | |||||||
\(194\) | 5.01483 | − | 8.68594i | 0.360044 | − | 0.623614i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 4.13764 | + | 5.12793i | 0.295546 | + | 0.366281i | ||||
\(197\) | −7.84255 | + | 13.5837i | −0.558759 | + | 0.967798i | 0.438842 | + | 0.898564i | \(0.355389\pi\) |
−0.997600 | + | 0.0692340i | \(0.977944\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 2.87545 | − | 4.98042i | 0.203835 | − | 0.353052i | −0.745926 | − | 0.666029i | \(-0.767993\pi\) |
0.949761 | + | 0.312976i | \(0.101326\pi\) | |||||||
\(200\) | 0.942496 | + | 1.63245i | 0.0666445 | + | 0.115432i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −15.8886 | − | 27.5198i | −1.11792 | − | 1.93629i | ||||
\(203\) | −1.64798 | − | 21.1770i | −0.115665 | − | 1.48633i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | 6.24408 | + | 10.8151i | 0.436105 | + | 0.755356i | ||||
\(206\) | 3.48392 | 0.242737 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −2.77672 | − | 17.8001i | −0.192531 | − | 1.23421i | ||||
\(209\) | 3.31528 | 0.229323 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 10.3771 | − | 17.9736i | 0.714387 | − | 1.23735i | −0.248809 | − | 0.968553i | \(-0.580039\pi\) |
0.963196 | − | 0.268802i | \(-0.0866276\pi\) | |||||||
\(212\) | 11.1251 | 0.764075 | ||||||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.08946 | + | 3.61906i | −0.142833 | + | 0.247394i | ||||
\(215\) | 15.8168 | 1.07870 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −16.6172 | − | 7.94388i | −1.12805 | − | 0.539266i | ||||
\(218\) | −13.4739 | + | 23.3375i | −0.912569 | + | 1.58062i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −1.20064 | − | 2.07957i | −0.0809472 | − | 0.140205i | ||||
\(221\) | −8.47671 | + | 6.83164i | −0.570205 | + | 0.459546i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 5.68668 | − | 9.84963i | 0.380809 | − | 0.659580i | −0.610369 | − | 0.792117i | \(-0.708979\pi\) |
0.991178 | + | 0.132537i | \(0.0423123\pi\) | |||||||
\(224\) | −1.01358 | − | 13.0248i | −0.0677227 | − | 0.870255i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −4.33399 | + | 7.50668i | −0.288292 | + | 0.499337i | ||||
\(227\) | −2.71464 | + | 4.70189i | −0.180177 | + | 0.312075i | −0.941941 | − | 0.335779i | \(-0.891000\pi\) |
0.761764 | + | 0.647855i | \(0.224334\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −8.67170 | + | 15.0198i | −0.573042 | + | 0.992538i | 0.423209 | + | 0.906032i | \(0.360903\pi\) |
−0.996251 | + | 0.0865059i | \(0.972430\pi\) | |||||||
\(230\) | −7.31599 | − | 12.6717i | −0.482402 | − | 0.835545i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −7.28853 | + | 12.6241i | −0.478516 | + | 0.828813i | ||||
\(233\) | −10.0164 | + | 17.3490i | −0.656199 | + | 1.13657i | 0.325393 | + | 0.945579i | \(0.394504\pi\) |
−0.981592 | + | 0.190991i | \(0.938830\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −12.0148 | − | 20.8103i | −0.783761 | − | 1.35751i | ||||
\(236\) | 4.20825 | + | 7.28890i | 0.273934 | + | 0.474467i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −11.2982 | + | 7.75045i | −0.732352 | + | 0.502387i | ||||
\(239\) | 8.30497 | 0.537204 | 0.268602 | − | 0.963251i | \(-0.413438\pi\) | ||||
0.268602 | + | 0.963251i | \(0.413438\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −10.2953 | + | 17.8320i | −0.663178 | + | 1.14866i | 0.316597 | + | 0.948560i | \(0.397460\pi\) |
−0.979776 | + | 0.200099i | \(0.935874\pi\) | |||||||
\(242\) | 8.50840 | + | 14.7370i | 0.546941 | + | 0.947329i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 1.22788 | − | 2.12676i | 0.0786073 | − | 0.136152i | ||||
\(245\) | 10.8014 | + | 13.3866i | 0.690076 | + | 0.855235i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −10.7396 | − | 4.15131i | −0.683345 | − | 0.264141i | ||||
\(248\) | 6.31999 | + | 10.9465i | 0.401320 | + | 0.695106i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 8.34811 | + | 14.4594i | 0.527981 | + | 0.914490i | ||||
\(251\) | −5.22288 | − | 9.04629i | −0.329665 | − | 0.570997i | 0.652780 | − | 0.757547i | \(-0.273603\pi\) |
−0.982445 | + | 0.186550i | \(0.940269\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −1.80226 | − | 3.12160i | −0.113307 | − | 0.196253i | ||||
\(254\) | −6.31972 | −0.396534 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −9.18600 | + | 15.9106i | −0.574125 | + | 0.994414i | ||||
\(257\) | 3.61689 | + | 6.26463i | 0.225615 | + | 0.390777i | 0.956504 | − | 0.291720i | \(-0.0942275\pi\) |
−0.730889 | + | 0.682497i | \(0.760894\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −6.74723 | − | 3.22553i | −0.419252 | − | 0.200425i | ||||
\(260\) | 1.28540 | + | 8.24003i | 0.0797173 | + | 0.511025i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −3.16985 | −0.195834 | ||||||||
\(263\) | 1.70621 | 0.105209 | 0.0526047 | − | 0.998615i | \(-0.483248\pi\) | ||||
0.0526047 | + | 0.998615i | \(0.483248\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 29.0423 | 1.78405 | ||||||||
\(266\) | −13.0731 | − | 6.24964i | −0.801565 | − | 0.383190i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 5.28067 | − | 9.14638i | 0.322568 | − | 0.558704i | ||||
\(269\) | 10.9941 | − | 19.0424i | 0.670324 | − | 1.16104i | −0.307488 | − | 0.951552i | \(-0.599488\pi\) |
0.977812 | − | 0.209483i | \(-0.0671782\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 11.8251 | + | 20.4817i | 0.718324 | + | 1.24417i | 0.961664 | + | 0.274232i | \(0.0884236\pi\) |
−0.243340 | + | 0.969941i | \(0.578243\pi\) | |||||||
\(272\) | 15.0871 | 0.914790 | ||||||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −4.82810 | −0.291676 | ||||||||
\(275\) | −0.538890 | − | 0.933385i | −0.0324963 | − | 0.0562853i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 14.9643 | − | 25.9190i | 0.899119 | − | 1.55732i | 0.0704974 | − | 0.997512i | \(-0.477541\pi\) |
0.828622 | − | 0.559809i | \(-0.189125\pi\) | |||||||
\(278\) | 3.22164 | − | 5.58004i | 0.193221 | − | 0.334669i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.915846 | − | 11.7689i | −0.0547323 | − | 0.703325i | ||||
\(281\) | 27.8636 | 1.66220 | 0.831102 | − | 0.556120i | \(-0.187711\pi\) | ||||
0.831102 | + | 0.556120i | \(0.187711\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −19.4075 | −1.15366 | −0.576829 | − | 0.816865i | \(-0.695710\pi\) | ||||
−0.576829 | + | 0.816865i | \(0.695710\pi\) | |||||||
\(284\) | −3.06887 | −0.182104 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.989454 | + | 6.34286i | 0.0585077 | + | 0.375061i | ||||
\(287\) | −1.04321 | − | 13.4055i | −0.0615787 | − | 0.791303i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 3.94131 | + | 6.82655i | 0.231842 | + | 0.401562i | ||||
\(290\) | 16.9168 | − | 29.3007i | 0.993387 | − | 1.72060i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −14.1329 | −0.827067 | ||||||||
\(293\) | 2.20711 | + | 3.82282i | 0.128940 | + | 0.223331i | 0.923266 | − | 0.384160i | \(-0.125509\pi\) |
−0.794326 | + | 0.607492i | \(0.792176\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 10.9857 | + | 19.0278i | 0.639613 | + | 1.10784i | ||||
\(296\) | 2.56616 | + | 4.44473i | 0.149155 | + | 0.258344i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 5.77690 | + | 10.0059i | 0.334647 | + | 0.579625i | ||||
\(299\) | 1.92949 | + | 12.3689i | 0.111585 | + | 0.715314i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.3646 | − | 7.34510i | −0.885603 | − | 0.423364i | ||||
\(302\) | −4.63090 | + | 8.02096i | −0.266479 | + | 0.461554i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 7.97803 | + | 13.8184i | 0.457571 | + | 0.792537i | ||||
\(305\) | 3.20542 | − | 5.55194i | 0.183542 | − | 0.317903i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −9.06995 | −0.517649 | −0.258825 | − | 0.965924i | \(-0.583335\pi\) | ||||
−0.258825 | + | 0.965924i | \(0.583335\pi\) | |||||||
\(308\) | 0.200593 | + | 2.57768i | 0.0114299 | + | 0.146877i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −14.6688 | − | 25.4070i | −0.833130 | − | 1.44302i | ||||
\(311\) | 11.8691 | + | 20.5579i | 0.673037 | + | 1.16573i | 0.977039 | + | 0.213062i | \(0.0683437\pi\) |
−0.304002 | + | 0.952671i | \(0.598323\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −6.48059 | + | 11.2247i | −0.366304 | + | 0.634458i | −0.988985 | − | 0.148019i | \(-0.952710\pi\) |
0.622680 | + | 0.782476i | \(0.286044\pi\) | |||||||
\(314\) | −9.99379 | + | 17.3098i | −0.563982 | + | 0.976846i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.199384 | − | 0.345342i | −0.0112162 | − | 0.0194270i | ||||
\(317\) | −15.7012 | + | 27.1953i | −0.881867 | + | 1.52744i | −0.0326048 | + | 0.999468i | \(0.510380\pi\) |
−0.849263 | + | 0.527971i | \(0.822953\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 4.16736 | − | 7.21808i | 0.233327 | − | 0.404135i | ||||
\(320\) | −1.87330 | + | 3.24465i | −0.104721 | + | 0.181381i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 1.22230 | + | 15.7068i | 0.0681159 | + | 0.875308i | ||||
\(323\) | 4.82126 | − | 8.35066i | 0.268262 | − | 0.464643i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 0.576934 | + | 3.69842i | 0.0320026 | + | 0.205151i | ||||
\(326\) | −20.7960 | − | 36.0197i | −1.15178 | − | 1.99495i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −4.61382 | + | 7.99136i | −0.254755 | + | 0.441249i | ||||
\(329\) | 2.00734 | + | 25.7948i | 0.110668 | + | 1.42212i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −11.5233 | −0.633378 | −0.316689 | − | 0.948529i | \(-0.602571\pi\) | ||||
−0.316689 | + | 0.948529i | \(0.602571\pi\) | |||||||
\(332\) | −0.631082 | + | 1.09307i | −0.0346351 | + | 0.0599898i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 28.2366 | 1.54504 | ||||||||
\(335\) | 13.7853 | − | 23.8768i | 0.753170 | − | 1.30453i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −17.7823 | −0.968665 | −0.484332 | − | 0.874884i | \(-0.660937\pi\) | ||||
−0.484332 | + | 0.874884i | \(0.660937\pi\) | |||||||
\(338\) | 4.73710 | − | 21.7862i | 0.257664 | − | 1.18501i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −6.98414 | −0.378768 | ||||||||
\(341\) | −3.61357 | − | 6.25890i | −0.195686 | − | 0.338938i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −4.27608 | − | 18.0199i | −0.230886 | − | 0.972981i | ||||
\(344\) | 5.84361 | + | 10.1214i | 0.315066 | + | 0.545711i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −17.1850 | − | 29.7652i | −0.923869 | − | 1.60019i | ||||
\(347\) | −6.16001 | + | 10.6694i | −0.330687 | + | 0.572766i | −0.982647 | − | 0.185487i | \(-0.940614\pi\) |
0.651960 | + | 0.758253i | \(0.273947\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −4.29722 | + | 7.44301i | −0.230025 | + | 0.398415i | −0.957815 | − | 0.287385i | \(-0.907214\pi\) |
0.727790 | + | 0.685800i | \(0.240548\pi\) | |||||||
\(350\) | 0.365477 | + | 4.69648i | 0.0195356 | + | 0.251037i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 2.56311 | − | 4.43944i | 0.136614 | − | 0.236623i | ||||
\(353\) | −29.1648 | −1.55229 | −0.776144 | − | 0.630556i | \(-0.782827\pi\) | ||||
−0.776144 | + | 0.630556i | \(0.782827\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −8.01135 | −0.425198 | ||||||||
\(356\) | −4.99350 | −0.264655 | ||||||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −8.65668 | − | 14.9938i | −0.457520 | − | 0.792448i | ||||
\(359\) | 1.79924 | − | 3.11637i | 0.0949602 | − | 0.164476i | −0.814632 | − | 0.579979i | \(-0.803061\pi\) |
0.909592 | + | 0.415503i | \(0.136394\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −8.80212 | −0.463269 | ||||||||
\(362\) | −17.0609 | − | 29.5504i | −0.896703 | − | 1.55314i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 2.57789 | − | 8.60138i | 0.135118 | − | 0.450835i | ||||
\(365\) | −36.8943 | −1.93113 | ||||||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 31.0655 | 1.62161 | 0.810803 | − | 0.585319i | \(-0.199031\pi\) | ||||
0.810803 | + | 0.585319i | \(0.199031\pi\) | |||||||
\(368\) | 8.67406 | − | 15.0239i | 0.452167 | − | 0.783175i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −5.95610 | − | 10.3163i | −0.309643 | − | 0.536317i | ||||
\(371\) | −28.2120 | − | 13.4868i | −1.46469 | − | 0.700201i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −23.4625 | −1.21484 | −0.607421 | − | 0.794380i | \(-0.707796\pi\) | ||||
−0.607421 | + | 0.794380i | \(0.707796\pi\) | |||||||
\(374\) | −5.37613 | −0.277993 | ||||||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.87788 | − | 15.3769i | 0.457842 | − | 0.793005i | ||||
\(377\) | −22.5381 | + | 18.1642i | −1.16077 | + | 0.935502i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 4.67032 | − | 8.08923i | 0.239898 | − | 0.415516i | −0.720787 | − | 0.693157i | \(-0.756219\pi\) |
0.960685 | + | 0.277641i | \(0.0895526\pi\) | |||||||
\(380\) | −3.69320 | − | 6.39681i | −0.189457 | − | 0.328150i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 13.1005 | + | 22.6907i | 0.670279 | + | 1.16096i | ||||
\(383\) | −11.6813 | −0.596889 | −0.298444 | − | 0.954427i | \(-0.596468\pi\) | ||||
−0.298444 | + | 0.954427i | \(0.596468\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.523653 | + | 6.72908i | 0.0266878 | + | 0.342946i | ||||
\(386\) | −22.0106 | − | 38.1235i | −1.12031 | − | 1.94044i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −5.50481 | −0.279464 | ||||||||
\(389\) | −9.34341 | − | 16.1833i | −0.473730 | − | 0.820524i | 0.525818 | − | 0.850597i | \(-0.323759\pi\) |
−0.999548 | + | 0.0300730i | \(0.990426\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −10.4838 | −0.530186 | ||||||||
\(392\) | −4.57563 | + | 11.8577i | −0.231104 | + | 0.598905i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 26.9003 | 1.35522 | ||||||||
\(395\) | −0.520495 | − | 0.901523i | −0.0261889 | − | 0.0453605i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 9.44412 | 0.473987 | 0.236993 | − | 0.971511i | \(-0.423838\pi\) | ||||
0.236993 | + | 0.971511i | \(0.423838\pi\) | |||||||
\(398\) | −9.86289 | −0.494382 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 2.59362 | − | 4.49228i | 0.129681 | − | 0.224614i | ||||
\(401\) | 5.18622 | + | 8.98279i | 0.258987 | + | 0.448579i | 0.965971 | − | 0.258651i | \(-0.0832779\pi\) |
−0.706984 | + | 0.707230i | \(0.749945\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 3.86868 | + | 24.8001i | 0.192713 | + | 1.23538i | ||||
\(404\) | −8.72050 | + | 15.1044i | −0.433861 | + | 0.751470i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −30.0400 | + | 20.6071i | −1.49086 | + | 1.02271i | ||||
\(407\) | −1.46725 | − | 2.54136i | −0.0727291 | − | 0.125970i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −11.4435 | + | 19.8207i | −0.565844 | + | 0.980071i | 0.431126 | + | 0.902292i | \(0.358116\pi\) |
−0.996971 | + | 0.0777796i | \(0.975217\pi\) | |||||||
\(410\) | 10.7087 | − | 18.5480i | 0.528866 | − | 0.916023i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −0.956082 | − | 1.65598i | −0.0471028 | − | 0.0815844i | ||||
\(413\) | −1.83540 | − | 23.5854i | −0.0903143 | − | 1.16056i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −1.64745 | + | 2.85347i | −0.0808702 | + | 0.140071i | ||||
\(416\) | −13.8620 | + | 11.1718i | −0.679639 | + | 0.547742i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.84289 | − | 4.92402i | −0.139050 | − | 0.240842i | ||||
\(419\) | −4.33086 | + | 7.50127i | −0.211576 | + | 0.366461i | −0.952208 | − | 0.305450i | \(-0.901193\pi\) |
0.740632 | + | 0.671911i | \(0.234526\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −1.15030 | −0.0560620 | −0.0280310 | − | 0.999607i | \(-0.508924\pi\) | ||||
−0.0280310 | + | 0.999607i | \(0.508924\pi\) | |||||||
\(422\) | −35.5938 | −1.73268 | ||||||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 10.7298 | + | 18.5846i | 0.521087 | + | 0.902549i | ||||
\(425\) | −3.13473 | −0.152057 | ||||||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −5.69202 | + | 3.90467i | −0.275456 | + | 0.188960i | ||||
\(428\) | 2.29362 | 0.110866 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −13.5631 | − | 23.4919i | −0.654070 | − | 1.13288i | ||||
\(431\) | −8.76048 | −0.421977 | −0.210989 | − | 0.977489i | \(-0.567668\pi\) | ||||
−0.210989 | + | 0.977489i | \(0.567668\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.463102 | + | 0.802117i | 0.0222553 | + | 0.0385473i | 0.876939 | − | 0.480603i | \(-0.159582\pi\) |
−0.854683 | + | 0.519150i | \(0.826249\pi\) | |||||||
\(434\) | 2.45074 | + | 31.4926i | 0.117639 | + | 1.51170i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 14.7904 | 0.708332 | ||||||||
\(437\) | −5.54379 | − | 9.60213i | −0.265195 | − | 0.459332i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −6.20418 | − | 10.7460i | −0.296109 | − | 0.512877i | 0.679133 | − | 0.734015i | \(-0.262356\pi\) |
−0.975242 | + | 0.221139i | \(0.929023\pi\) | |||||||
\(440\) | 2.31597 | − | 4.01137i | 0.110409 | − | 0.191235i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | 17.4156 | + | 6.73185i | 0.828374 | + | 0.320201i | ||||
\(443\) | 1.61468 | − | 2.79670i | 0.0767156 | − | 0.132875i | −0.825115 | − | 0.564964i | \(-0.808890\pi\) |
0.901831 | + | 0.432089i | \(0.142223\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −13.0356 | −0.617948 | ||||||||
\(446\) | −19.5056 | −0.923615 | ||||||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 3.32651 | − | 2.28195i | 0.157163 | − | 0.107812i | ||||
\(449\) | 9.94344 | + | 17.2225i | 0.469260 | + | 0.812782i | 0.999382 | − | 0.0351392i | \(-0.0111875\pi\) |
−0.530123 | + | 0.847921i | \(0.677854\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 2.63804 | − | 4.56922i | 0.124220 | − | 0.215156i | ||||
\(452\) | 4.75744 | 0.223771 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 9.31132 | 0.437002 | ||||||||
\(455\) | 6.72964 | − | 22.4541i | 0.315491 | − | 1.05266i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 0.0394872 | + | 0.0683939i | 0.00184713 | + | 0.00319933i | 0.866947 | − | 0.498399i | \(-0.166079\pi\) |
−0.865100 | + | 0.501599i | \(0.832745\pi\) | |||||||
\(458\) | 29.7443 | 1.38986 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | −4.01541 | + | 6.95489i | −0.187219 | + | 0.324273i | ||||
\(461\) | −2.45979 | − | 4.26049i | −0.114564 | − | 0.198431i | 0.803041 | − | 0.595923i | \(-0.203214\pi\) |
−0.917605 | + | 0.397493i | \(0.869880\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 1.24837 | 0.0580166 | 0.0290083 | − | 0.999579i | \(-0.490765\pi\) | ||||
0.0290083 | + | 0.999579i | \(0.490765\pi\) | |||||||
\(464\) | 40.1140 | 1.86225 | ||||||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 34.3568 | 1.59155 | ||||||||
\(467\) | 14.3411 | − | 24.8395i | 0.663628 | − | 1.14944i | −0.316028 | − | 0.948750i | \(-0.602349\pi\) |
0.979655 | − | 0.200687i | \(-0.0643173\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −24.4792 | + | 16.7925i | −1.13035 | + | 0.775406i | ||||
\(470\) | −20.6057 | + | 35.6901i | −0.950468 | + | 1.64626i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −8.11746 | + | 14.0599i | −0.373636 | + | 0.647157i | ||||
\(473\) | −3.34120 | − | 5.78712i | −0.153628 | − | 0.266092i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −1.65764 | − | 2.87112i | −0.0760577 | − | 0.131736i | ||||
\(476\) | 6.78447 | + | 3.24333i | 0.310966 | + | 0.148658i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −7.12159 | − | 12.3350i | −0.325734 | − | 0.564188i | ||||
\(479\) | 6.97871 | 0.318866 | 0.159433 | − | 0.987209i | \(-0.449033\pi\) | ||||
0.159433 | + | 0.987209i | \(0.449033\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 1.57084 | + | 10.0698i | 0.0716240 | + | 0.459143i | ||||
\(482\) | 35.3133 | 1.60848 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 4.66987 | − | 8.08844i | 0.212267 | − | 0.367657i | ||||
\(485\) | −14.3704 | −0.652527 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 0.964157 | − | 1.66997i | 0.0436901 | − | 0.0756735i | −0.843353 | − | 0.537359i | \(-0.819422\pi\) |
0.887044 | + | 0.461686i | \(0.152755\pi\) | |||||||
\(488\) | 4.73703 | 0.214435 | ||||||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 10.6201 | − | 27.5219i | 0.479767 | − | 1.24331i | ||||
\(491\) | −14.6968 | + | 25.4556i | −0.663256 | + | 1.14879i | 0.316499 | + | 0.948593i | \(0.397493\pi\) |
−0.979755 | + | 0.200200i | \(0.935841\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −12.1208 | − | 20.9938i | −0.545893 | − | 0.945514i | ||||
\(494\) | 3.04359 | + | 19.5108i | 0.136937 | + | 0.877832i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 17.3917 | − | 30.1233i | 0.780911 | − | 1.35258i | ||||
\(497\) | 7.78231 | + | 3.72035i | 0.349084 | + | 0.166881i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −9.92902 | + | 17.1976i | −0.444484 | + | 0.769869i | −0.998016 | − | 0.0629592i | \(-0.979946\pi\) |
0.553532 | + | 0.832828i | \(0.313280\pi\) | |||||||
\(500\) | 4.58189 | − | 7.93607i | 0.204908 | − | 0.354912i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −8.95734 | + | 15.5146i | −0.399786 | + | 0.692449i | ||||
\(503\) | −13.3790 | − | 23.1731i | −0.596540 | − | 1.03324i | −0.993328 | − | 0.115327i | \(-0.963208\pi\) |
0.396787 | − | 0.917911i | \(-0.370125\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −22.7650 | + | 39.4302i | −1.01303 | + | 1.75462i | ||||
\(506\) | −3.09091 | + | 5.35361i | −0.137408 | + | 0.237997i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 1.73430 | + | 3.00389i | 0.0769471 | + | 0.133276i | ||||
\(509\) | 2.96465 | + | 5.13492i | 0.131406 | + | 0.227601i | 0.924219 | − | 0.381864i | \(-0.124718\pi\) |
−0.792813 | + | 0.609465i | \(0.791384\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 35.8395 | + | 17.1332i | 1.58545 | + | 0.757926i | ||||
\(512\) | 6.52743 | 0.288474 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 6.20303 | − | 10.7440i | 0.273604 | − | 0.473896i | ||||
\(515\) | −2.49587 | − | 4.32297i | −0.109981 | − | 0.190493i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −5.07610 | + | 8.79206i | −0.223247 | + | 0.386674i | ||||
\(518\) | 0.995096 | + | 12.7873i | 0.0437220 | + | 0.561840i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −12.5253 | + | 10.0945i | −0.549272 | + | 0.442675i | ||||
\(521\) | 16.7414 | + | 28.9969i | 0.733453 | + | 1.27038i | 0.955399 | + | 0.295319i | \(0.0954259\pi\) |
−0.221946 | + | 0.975059i | \(0.571241\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | −20.7273 | − | 35.9007i | −0.906341 | − | 1.56983i | −0.819107 | − | 0.573641i | \(-0.805530\pi\) |
−0.0872343 | − | 0.996188i | \(-0.527803\pi\) | |||||||
\(524\) | 0.869892 | + | 1.50670i | 0.0380014 | + | 0.0658203i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −1.46309 | − | 2.53415i | −0.0637938 | − | 0.110494i | ||||
\(527\) | −21.0202 | −0.915655 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 5.47255 | − | 9.47874i | 0.237937 | − | 0.412119i | ||||
\(530\) | −24.9041 | − | 43.1351i | −1.08176 | − | 1.87367i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 0.617030 | + | 7.92900i | 0.0267516 | + | 0.343766i | ||||
\(533\) | −14.2672 | + | 11.4984i | −0.617980 | + | 0.498049i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 5.98753 | 0.258864 | ||||||||
\(536\) | 20.3722 | 0.879944 | ||||||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −37.7103 | −1.62581 | ||||||||
\(539\) | 2.61620 | − | 6.77988i | 0.112688 | − | 0.292030i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −14.7605 | + | 25.5660i | −0.634606 | + | 1.09917i | 0.351993 | + | 0.936003i | \(0.385504\pi\) |
−0.986599 | + | 0.163166i | \(0.947829\pi\) | |||||||
\(542\) | 20.2803 | − | 35.1265i | 0.871113 | − | 1.50881i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −7.45483 | − | 12.9121i | −0.319623 | − | 0.553603i | ||||
\(545\) | 38.6106 | 1.65390 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 34.6619 | 1.48203 | 0.741017 | − | 0.671486i | \(-0.234344\pi\) | ||||
0.741017 | + | 0.671486i | \(0.234344\pi\) | |||||||
\(548\) | 1.32496 | + | 2.29490i | 0.0565995 | + | 0.0980332i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −0.924208 | + | 1.60077i | −0.0394084 | + | 0.0682573i | ||||
\(551\) | 12.8189 | − | 22.2030i | 0.546104 | − | 0.945879i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 0.0869600 | + | 1.11746i | 0.00369792 | + | 0.0475192i | ||||
\(554\) | −51.3283 | −2.18073 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −3.53641 | −0.149977 | ||||||||
\(557\) | 15.0484 | 0.637623 | 0.318812 | − | 0.947818i | \(-0.396716\pi\) | ||||
0.318812 | + | 0.947818i | \(0.396716\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 3.57707 | + | 22.9307i | 0.151294 | + | 0.969866i | ||||
\(560\) | −26.7872 | + | 18.3758i | −1.13197 | + | 0.776518i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −23.8933 | − | 41.3845i | −1.00788 | − | 1.74570i | ||||
\(563\) | −0.728725 | + | 1.26219i | −0.0307121 | + | 0.0531949i | −0.880973 | − | 0.473167i | \(-0.843111\pi\) |
0.850261 | + | 0.526362i | \(0.176444\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 12.4194 | 0.522488 | ||||||||
\(566\) | 16.6422 | + | 28.8251i | 0.699522 | + | 1.21161i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −2.95984 | − | 5.12659i | −0.124192 | − | 0.215107i | ||||
\(569\) | 2.05326 | + | 3.55635i | 0.0860770 | + | 0.149090i | 0.905850 | − | 0.423599i | \(-0.139234\pi\) |
−0.819773 | + | 0.572689i | \(0.805900\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 16.1753 | + | 28.0165i | 0.676916 | + | 1.17245i | 0.975905 | + | 0.218197i | \(0.0700175\pi\) |
−0.298988 | + | 0.954257i | \(0.596649\pi\) | |||||||
\(572\) | 2.74336 | − | 2.21096i | 0.114706 | − | 0.0924448i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −19.0160 | + | 13.0448i | −0.793713 | + | 0.544479i | ||||
\(575\) | −1.80226 | + | 3.12160i | −0.0751593 | + | 0.130180i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 3.24107 | + | 5.61369i | 0.134927 | + | 0.233701i | 0.925570 | − | 0.378577i | \(-0.123587\pi\) |
−0.790642 | + | 0.612278i | \(0.790253\pi\) | |||||||
\(578\) | 6.75942 | − | 11.7077i | 0.281155 | − | 0.486975i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −18.5696 | −0.771063 | ||||||||
\(581\) | 2.92546 | − | 2.00684i | 0.121369 | − | 0.0832577i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.13499 | − | 10.6261i | −0.254085 | − | 0.440088i | ||||
\(584\) | −13.6308 | − | 23.6092i | −0.564046 | − | 0.976956i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 3.78523 | − | 6.55621i | 0.156366 | − | 0.270835i | ||||
\(587\) | −8.72720 | + | 15.1159i | −0.360210 | + | 0.623902i | −0.987995 | − | 0.154485i | \(-0.950628\pi\) |
0.627785 | + | 0.778387i | \(0.283962\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | −11.1154 | − | 19.2525i | −0.458004 | − | 0.793286i | ||||
\(590\) | 18.8407 | − | 32.6331i | 0.775660 | − | 1.34348i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 7.06172 | − | 12.2313i | 0.290235 | − | 0.502702i | ||||
\(593\) | 5.07543 | − | 8.79090i | 0.208423 | − | 0.360999i | −0.742795 | − | 0.669519i | \(-0.766500\pi\) |
0.951218 | + | 0.308520i | \(0.0998337\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 17.7110 | + | 8.46678i | 0.726080 | + | 0.347104i | ||||
\(596\) | 3.17067 | − | 5.49176i | 0.129876 | − | 0.224951i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 16.7164 | − | 13.4723i | 0.683585 | − | 0.550922i | ||||
\(599\) | 5.29665 | + | 9.17406i | 0.216415 | + | 0.374842i | 0.953709 | − | 0.300730i | \(-0.0972302\pi\) |
−0.737294 | + | 0.675572i | \(0.763897\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 5.08203 | − | 8.80234i | 0.207300 | − | 0.359055i | −0.743563 | − | 0.668666i | \(-0.766866\pi\) |
0.950863 | + | 0.309611i | \(0.100199\pi\) | |||||||
\(602\) | 2.26601 | + | 29.1188i | 0.0923556 | + | 1.18680i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 5.08337 | 0.206840 | ||||||||
\(605\) | 12.1908 | − | 21.1150i | 0.495625 | − | 0.858448i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 32.4478 | 1.31702 | 0.658508 | − | 0.752574i | \(-0.271188\pi\) | ||||
0.658508 | + | 0.752574i | \(0.271188\pi\) | |||||||
\(608\) | 7.88420 | − | 13.6558i | 0.319746 | − | 0.553817i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −10.9947 | −0.445163 | ||||||||
\(611\) | 27.4528 | − | 22.1251i | 1.11062 | − | 0.895085i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −9.83642 | −0.397289 | −0.198645 | − | 0.980072i | \(-0.563654\pi\) | ||||
−0.198645 | + | 0.980072i | \(0.563654\pi\) | |||||||
\(614\) | 7.77757 | + | 13.4712i | 0.313877 | + | 0.543651i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −4.11258 | + | 2.82119i | −0.165700 | + | 0.113669i | ||||
\(617\) | −17.6661 | − | 30.5985i | −0.711208 | − | 1.23185i | −0.964404 | − | 0.264434i | \(-0.914815\pi\) |
0.253195 | − | 0.967415i | \(-0.418518\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −17.5126 | − | 30.3327i | −0.703892 | − | 1.21918i | −0.967090 | − | 0.254434i | \(-0.918111\pi\) |
0.263198 | − | 0.964742i | \(-0.415223\pi\) | |||||||
\(620\) | −8.05100 | + | 13.9447i | −0.323336 | + | 0.560034i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 20.3558 | − | 35.2573i | 0.816193 | − | 1.41369i | ||||
\(623\) | 12.6630 | + | 6.05356i | 0.507331 | + | 0.242531i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 14.5565 | − | 25.2126i | 0.582261 | − | 1.00850i | ||||
\(626\) | 22.2287 | 0.888437 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 10.9702 | 0.437761 | ||||||||
\(629\) | −8.53503 | −0.340314 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −10.2980 | − | 17.8367i | −0.409959 | − | 0.710069i | 0.584926 | − | 0.811087i | \(-0.301124\pi\) |
−0.994885 | + | 0.101017i | \(0.967790\pi\) | |||||||
\(632\) | 0.384599 | − | 0.666145i | 0.0152985 | − | 0.0264978i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 53.8558 | 2.13889 | ||||||||
\(635\) | 4.52742 | + | 7.84172i | 0.179665 | + | 0.311189i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −16.9646 | + | 18.6870i | −0.672161 | + | 0.740405i | ||||
\(638\) | −14.2942 | −0.565913 | ||||||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 30.6924 | 1.21322 | ||||||||
\(641\) | −17.5384 | + | 30.3774i | −0.692725 | + | 1.19983i | 0.278217 | + | 0.960518i | \(0.410256\pi\) |
−0.970942 | + | 0.239316i | \(0.923077\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −12.4615 | − | 21.5840i | −0.491435 | − | 0.851190i | 0.508517 | − | 0.861052i | \(-0.330194\pi\) |
−0.999951 | + | 0.00986235i | \(0.996861\pi\) | |||||||
\(644\) | 7.13036 | − | 4.89136i | 0.280976 | − | 0.192747i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −16.5371 | −0.650644 | ||||||||
\(647\) | 3.35518 | 0.131906 | 0.0659528 | − | 0.997823i | \(-0.478991\pi\) | ||||
0.0659528 | + | 0.997823i | \(0.478991\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.64131 | − | 8.03899i | 0.182188 | − | 0.315558i | ||||
\(650\) | 4.99835 | − | 4.02832i | 0.196052 | − | 0.158004i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −11.4140 | + | 19.7695i | −0.447005 | + | 0.774235i | ||||
\(653\) | 2.54625 | + | 4.41024i | 0.0996426 | + | 0.172586i | 0.911537 | − | 0.411219i | \(-0.134897\pi\) |
−0.811894 | + | 0.583805i | \(0.801563\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 2.27087 | + | 3.93326i | 0.0887302 | + | 0.153685i | ||||
\(656\) | 25.3931 | 0.991435 | ||||||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 36.5905 | − | 25.1007i | 1.42645 | − | 0.978529i | ||||
\(659\) | 16.9148 | + | 29.2973i | 0.658907 | + | 1.14126i | 0.980899 | + | 0.194518i | \(0.0623143\pi\) |
−0.321992 | + | 0.946742i | \(0.604352\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 33.9014 | 1.31861 | 0.659306 | − | 0.751875i | \(-0.270850\pi\) | ||||
0.659306 | + | 0.751875i | \(0.270850\pi\) | |||||||
\(662\) | 9.88135 | + | 17.1150i | 0.384050 | + | 0.665194i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −2.43464 | −0.0944823 | ||||||||
\(665\) | 1.61077 | + | 20.6988i | 0.0624629 | + | 0.802665i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −27.8745 | −1.07931 | ||||||||
\(668\) | −7.74889 | − | 13.4215i | −0.299813 | − | 0.519292i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −47.2841 | −1.82674 | ||||||||
\(671\) | −2.70849 | −0.104560 | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −7.46805 | + | 12.9350i | −0.287872 | + | 0.498609i | −0.973302 | − | 0.229530i | \(-0.926281\pi\) |
0.685430 | + | 0.728139i | \(0.259614\pi\) | |||||||
\(674\) | 15.2485 | + | 26.4112i | 0.587351 | + | 1.01732i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −11.6554 | + | 3.72707i | −0.448286 | + | 0.143349i | ||||
\(677\) | −10.8470 | + | 18.7875i | −0.416883 | + | 0.722063i | −0.995624 | − | 0.0934485i | \(-0.970211\pi\) |
0.578741 | + | 0.815512i | \(0.303544\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 13.9596 | + | 6.67341i | 0.535720 | + | 0.256102i | ||||
\(680\) | −6.73600 | − | 11.6671i | −0.258314 | − | 0.447412i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −6.19735 | + | 10.7341i | −0.237309 | + | 0.411031i | ||||
\(683\) | 11.6479 | − | 20.1747i | 0.445694 | − | 0.771965i | −0.552406 | − | 0.833575i | \(-0.686290\pi\) |
0.998100 | + | 0.0616101i | \(0.0196235\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 3.45883 | + | 5.99087i | 0.132155 | + | 0.228900i | ||||
\(686\) | −23.0972 | + | 21.8033i | −0.881856 | + | 0.832452i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 16.0808 | − | 27.8527i | 0.613074 | − | 1.06188i | ||||
\(689\) | 6.56810 | + | 42.1046i | 0.250225 | + | 1.60406i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −15.6725 | − | 27.1456i | −0.596212 | − | 1.03267i | −0.993375 | − | 0.114921i | \(-0.963339\pi\) |
0.397163 | − | 0.917748i | \(-0.369995\pi\) | |||||||
\(692\) | −9.43202 | + | 16.3367i | −0.358552 | + | 0.621030i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 21.1291 | 0.802049 | ||||||||
\(695\) | −9.23188 | −0.350185 | ||||||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −7.67275 | − | 13.2896i | −0.290626 | − | 0.503379i | ||||
\(698\) | 14.7397 | 0.557904 | ||||||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.13204 | − | 1.46256i | 0.0805835 | − | 0.0552795i | ||||
\(701\) | 36.5409 | 1.38013 | 0.690066 | − | 0.723746i | \(-0.257581\pi\) | ||||
0.690066 | + | 0.723746i | \(0.257581\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −4.51331 | − | 7.81728i | −0.170223 | − | 0.294834i | ||||
\(704\) | 1.58289 | 0.0596573 | ||||||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 25.0091 | + | 43.3171i | 0.941232 | + | 1.63026i | ||||
\(707\) | 40.4250 | − | 27.7312i | 1.52034 | − | 1.04294i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 32.9378 | 1.23700 | 0.618502 | − | 0.785783i | \(-0.287740\pi\) | ||||
0.618502 | + | 0.785783i | \(0.287740\pi\) | |||||||
\(710\) | 6.86981 | + | 11.8989i | 0.257819 | + | 0.446556i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −4.81609 | − | 8.34170i | −0.180490 | − | 0.312619i | ||||
\(713\) | −12.0852 | + | 20.9322i | −0.452594 | + | 0.783916i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.16160 | − | 5.77175i | 0.267829 | − | 0.215851i | ||||
\(716\) | −4.75125 | + | 8.22941i | −0.177563 | + | 0.307547i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −6.17147 | −0.230317 | ||||||||
\(719\) | −8.58636 | −0.320217 | −0.160109 | − | 0.987099i | \(-0.551184\pi\) | ||||
−0.160109 | + | 0.987099i | \(0.551184\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 0.416990 | + | 5.35843i | 0.0155295 | + | 0.199558i | ||||
\(722\) | 7.54790 | + | 13.0734i | 0.280904 | + | 0.486540i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −9.36395 | + | 16.2188i | −0.348009 | + | 0.602769i | ||||
\(725\) | −8.33472 | −0.309544 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 31.5760 | 1.17109 | 0.585545 | − | 0.810640i | \(-0.300881\pi\) | ||||
0.585545 | + | 0.810640i | \(0.300881\pi\) | |||||||
\(728\) | 16.8550 | − | 3.98937i | 0.624688 | − | 0.147856i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | 31.6372 | + | 54.7972i | 1.17095 | + | 2.02814i | ||||
\(731\) | −19.4358 | −0.718858 | ||||||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 7.35414 | − | 12.7377i | 0.271631 | − | 0.470479i | −0.697648 | − | 0.716440i | \(-0.745770\pi\) |
0.969280 | + | 0.245961i | \(0.0791035\pi\) | |||||||
\(734\) | −26.6390 | − | 46.1401i | −0.983263 | − | 1.70306i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −17.1441 | −0.631939 | ||||||||
\(737\) | −11.6482 | −0.429067 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −14.1659 | −0.521102 | −0.260551 | − | 0.965460i | \(-0.583904\pi\) | ||||
−0.260551 | + | 0.965460i | \(0.583904\pi\) | |||||||
\(740\) | −3.26902 | + | 5.66211i | −0.120172 | + | 0.208143i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 4.16077 | + | 53.4670i | 0.152747 | + | 1.96283i | ||||
\(743\) | 21.4265 | − | 37.1119i | 0.786063 | − | 1.36150i | −0.142298 | − | 0.989824i | \(-0.545449\pi\) |
0.928362 | − | 0.371678i | \(-0.121217\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 8.27709 | − | 14.3363i | 0.303249 | − | 0.525243i | ||||
\(746\) | 20.1193 | + | 34.8477i | 0.736621 | + | 1.27586i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 1.47535 | + | 2.55539i | 0.0539442 | + | 0.0934342i | ||||
\(749\) | −5.81636 | − | 2.78052i | −0.212525 | − | 0.101598i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 0.310328 | + | 0.537504i | 0.0113240 | + | 0.0196138i | 0.871632 | − | 0.490161i | \(-0.163062\pi\) |
−0.860308 | + | 0.509775i | \(0.829729\pi\) | |||||||
\(752\) | −48.8614 | −1.78179 | ||||||||
\(753\) | 0 | 0 | ||||||||
\(754\) | 46.3050 | + | 17.8988i | 1.68633 | + | 0.651837i | ||||
\(755\) | 13.2702 | 0.482954 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 2.21558 | − | 3.83750i | 0.0805266 | − | 0.139476i | −0.822950 | − | 0.568114i | \(-0.807673\pi\) |
0.903476 | + | 0.428638i | \(0.141006\pi\) | |||||||
\(758\) | −16.0194 | −0.581851 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 7.12397 | − | 12.3391i | 0.258413 | − | 0.447585i | ||||
\(761\) | −21.0044 | −0.761409 | −0.380704 | − | 0.924697i | \(-0.624318\pi\) | ||||
−0.380704 | + | 0.924697i | \(0.624318\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −37.5068 | − | 17.9302i | −1.35784 | − | 0.649117i | ||||
\(764\) | 7.19024 | − | 12.4539i | 0.260134 | − | 0.450565i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 10.0169 | + | 17.3497i | 0.361924 | + | 0.626871i | ||||
\(767\) | −25.1014 | + | 20.2300i | −0.906360 | + | 0.730463i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −5.85570 | + | 10.1424i | −0.211162 | + | 0.365743i | −0.952078 | − | 0.305854i | \(-0.901058\pi\) |
0.740917 | + | 0.671597i | \(0.234391\pi\) | |||||||
\(770\) | 9.54533 | − | 6.54801i | 0.343990 | − | 0.235974i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −12.0806 | + | 20.9242i | −0.434790 | + | 0.753079i | ||||
\(773\) | 4.02075 | − | 6.96415i | 0.144616 | − | 0.250483i | −0.784613 | − | 0.619985i | \(-0.787139\pi\) |
0.929230 | + | 0.369502i | \(0.120472\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −3.61357 | + | 6.25890i | −0.129803 | + | 0.224826i | ||||
\(776\) | −5.30923 | − | 9.19585i | −0.190590 | − | 0.330112i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −16.0241 | + | 27.7546i | −0.574493 | + | 0.995052i | ||||
\(779\) | 8.11467 | − | 14.0550i | 0.290738 | − | 0.503573i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.69234 | + | 2.93122i | 0.0605568 | + | 0.104887i | ||||
\(782\) | 8.98993 | + | 15.5710i | 0.321479 | + | 0.556818i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | 34.5548 | − | 5.41083i | 1.23410 | − | 0.193244i | ||||
\(785\) | 28.6380 | 1.02214 | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −22.0887 | + | 38.2587i | −0.787377 | + | 1.36378i | 0.140192 | + | 0.990124i | \(0.455228\pi\) |
−0.927569 | + | 0.373653i | \(0.878105\pi\) | |||||||
\(788\) | −7.38215 | − | 12.7863i | −0.262978 | − | 0.455492i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −0.892659 | + | 1.54613i | −0.0317594 | + | 0.0550088i | ||||
\(791\) | −12.0643 | − | 5.76739i | −0.428959 | − | 0.205065i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 8.77395 | + | 3.39150i | 0.311572 | + | 0.120436i | ||||
\(794\) | −8.09843 | − | 14.0269i | −0.287403 | − | 0.497796i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 2.70664 | + | 4.68804i | 0.0959343 | + | 0.166163i | ||||
\(797\) | 9.83025 | + | 17.0265i | 0.348205 | + | 0.603109i | 0.985931 | − | 0.167155i | \(-0.0534579\pi\) |
−0.637725 | + | 0.770264i | \(0.720125\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 14.7639 | + | 25.5718i | 0.522308 | + | 0.904664i | ||||
\(800\) | −5.12622 | −0.181239 | ||||||||
\(801\) | 0 | 0 | ||||||||
\(802\) | 8.89447 | − | 15.4057i | 0.314075 | − | 0.543993i | ||||
\(803\) | 7.79366 | + | 13.4990i | 0.275032 | + | 0.476370i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 18.6139 | − | 12.7690i | 0.656055 | − | 0.450048i | ||||
\(806\) | 33.5169 | − | 27.0123i | 1.18058 | − | 0.951466i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −33.6427 | −1.18355 | ||||||||
\(809\) | 0.872672 | 0.0306815 | 0.0153407 | − | 0.999882i | \(-0.495117\pi\) | ||||
0.0153407 | + | 0.999882i | \(0.495117\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 35.1149 | 1.23305 | 0.616526 | − | 0.787335i | \(-0.288540\pi\) | ||||
0.616526 | + | 0.787335i | \(0.288540\pi\) | |||||||
\(812\) | 18.0388 | + | 8.62347i | 0.633036 | + | 0.302625i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −2.51637 | + | 4.35848i | −0.0881987 | + | 0.152765i | ||||
\(815\) | −29.7963 | + | 51.6088i | −1.04372 | + | 1.80778i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −10.2776 | − | 17.8013i | −0.359568 | − | 0.622790i | ||||
\(818\) | 39.2517 | 1.37240 | ||||||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −11.7550 | −0.410503 | ||||||||
\(821\) | −10.1024 | − | 17.4978i | −0.352575 | − | 0.610678i | 0.634125 | − | 0.773231i | \(-0.281361\pi\) |
−0.986700 | + | 0.162553i | \(0.948027\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −13.9713 | + | 24.1991i | −0.487010 | + | 0.843526i | −0.999888 | − | 0.0149350i | \(-0.995246\pi\) |
0.512878 | + | 0.858461i | \(0.328579\pi\) | |||||||
\(824\) | 1.84422 | − | 3.19429i | 0.0642466 | − | 0.111278i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −33.4564 | + | 22.9508i | −1.16410 | + | 0.798560i | ||||
\(827\) | 44.6141 | 1.55138 | 0.775692 | − | 0.631112i | \(-0.217401\pi\) | ||||
0.775692 | + | 0.631112i | \(0.217401\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | −28.1051 | −0.976129 | −0.488065 | − | 0.872807i | \(-0.662297\pi\) | ||||
−0.488065 | + | 0.872807i | \(0.662297\pi\) | |||||||
\(830\) | 5.65082 | 0.196143 | ||||||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −5.12764 | − | 1.98205i | −0.177769 | − | 0.0687152i | ||||
\(833\) | −13.2728 | − | 16.4495i | −0.459875 | − | 0.569940i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −20.2286 | − | 35.0370i | −0.700040 | − | 1.21251i | ||||
\(836\) | −1.56033 | + | 2.70257i | −0.0539651 | + | 0.0934702i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 14.8550 | 0.513158 | ||||||||
\(839\) | −18.8751 | − | 32.6926i | −0.651640 | − | 1.12867i | −0.982725 | − | 0.185072i | \(-0.940748\pi\) |
0.331085 | − | 0.943601i | \(-0.392585\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −17.7271 | − | 30.7043i | −0.611280 | − | 1.05877i | ||||
\(842\) | 0.986390 | + | 1.70848i | 0.0339933 | + | 0.0588780i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 9.76788 | + | 16.9185i | 0.336224 | + | 0.582357i | ||||
\(845\) | −30.4267 | + | 9.72959i | −1.04671 | + | 0.334708i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −21.6478 | + | 14.8502i | −0.743826 | + | 0.510258i | ||||
\(848\) | 29.5270 | − | 51.1422i | 1.01396 | − | 1.75623i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 2.68806 | + | 4.65586i | 0.0921998 | + | 0.159695i | ||||
\(851\) | −4.90706 | + | 8.49928i | −0.168212 | + | 0.291352i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 7.52465 | 0.257639 | 0.128820 | − | 0.991668i | \(-0.458881\pi\) | ||||
0.128820 | + | 0.991668i | \(0.458881\pi\) | |||||||
\(854\) | 10.6804 | + | 5.10578i | 0.365475 | + | 0.174716i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 2.21213 | + | 3.83152i | 0.0756089 | + | 0.130959i | ||||
\(857\) | −7.72284 | − | 13.3764i | −0.263807 | − | 0.456928i | 0.703443 | − | 0.710751i | \(-0.251645\pi\) |
−0.967250 | + | 0.253824i | \(0.918312\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 4.27437 | − | 7.40343i | 0.145840 | − | 0.252602i | −0.783846 | − | 0.620955i | \(-0.786745\pi\) |
0.929686 | + | 0.368353i | \(0.120078\pi\) | |||||||
\(860\) | −7.44414 | + | 12.8936i | −0.253843 | + | 0.439669i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 7.51220 | + | 13.0115i | 0.255866 | + | 0.443174i | ||||
\(863\) | 27.6867 | − | 47.9548i | 0.942468 | − | 1.63240i | 0.181724 | − | 0.983350i | \(-0.441832\pi\) |
0.760744 | − | 0.649052i | \(-0.224834\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −24.6225 | + | 42.6474i | −0.837189 | + | 1.45005i | ||||
\(866\) | 0.794230 | − | 1.37565i | 0.0269890 | − | 0.0467464i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 14.2966 | − | 9.80731i | 0.485257 | − | 0.332882i | ||||
\(869\) | −0.219902 | + | 0.380881i | −0.00745966 | + | 0.0129205i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 37.7335 | + | 14.5856i | 1.27855 | + | 0.494213i | ||||
\(872\) | 14.2649 | + | 24.7075i | 0.483071 | + | 0.836703i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −9.50771 | + | 16.4678i | −0.321603 | + | 0.557033i | ||||
\(875\) | −21.2399 | + | 14.5704i | −0.718041 | + | 0.492569i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 49.1212 | 1.65870 | 0.829352 | − | 0.558726i | \(-0.188710\pi\) | ||||
0.829352 | + | 0.558726i | \(0.188710\pi\) | |||||||
\(878\) | −10.6403 | + | 18.4295i | −0.359093 | + | 0.621967i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −12.7464 | −0.429682 | ||||||||
\(881\) | 3.45324 | − | 5.98118i | 0.116342 | − | 0.201511i | −0.801973 | − | 0.597360i | \(-0.796216\pi\) |
0.918316 | + | 0.395849i | \(0.129550\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −25.4087 | −0.855071 | −0.427536 | − | 0.903998i | \(-0.640618\pi\) | ||||
−0.427536 | + | 0.903998i | \(0.640618\pi\) | |||||||
\(884\) | −1.57951 | − | 10.1254i | −0.0531246 | − | 0.340553i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −5.53841 | −0.186066 | ||||||||
\(887\) | −21.0930 | − | 36.5342i | −0.708234 | − | 1.22670i | −0.965512 | − | 0.260360i | \(-0.916159\pi\) |
0.257277 | − | 0.966338i | \(-0.417175\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −0.756405 | − | 9.72000i | −0.0253690 | − | 0.325998i | ||||
\(890\) | 11.1782 | + | 19.3612i | 0.374694 | + | 0.648989i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 5.35285 | + | 9.27140i | 0.179227 | + | 0.310429i | ||||
\(893\) | −15.6142 | + | 27.0446i | −0.522510 | + | 0.905013i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −12.4032 | + | 21.4830i | −0.414594 | + | 0.718098i | ||||
\(896\) | −29.8150 | − | 14.2531i | −0.996048 | − | 0.476163i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 17.0532 | − | 29.5370i | 0.569072 | − | 0.985662i | ||||
\(899\) | −55.8892 | −1.86401 | ||||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −35.6873 | −1.18892 | ||||||||
\(902\) | −9.04858 | −0.301285 | ||||||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 4.58841 | + | 7.94737i | 0.152608 | + | 0.264325i | ||||
\(905\) | −24.4448 | + | 42.3396i | −0.812572 | + | 1.40742i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 27.3859 | 0.909335 | 0.454667 | − | 0.890661i | \(-0.349758\pi\) | ||||
0.454667 | + | 0.890661i | \(0.349758\pi\) | |||||||
\(908\) | −2.55527 | − | 4.42586i | −0.0847997 | − | 0.146877i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −39.1206 | + | 9.25937i | −1.29684 | + | 0.306945i | ||||
\(911\) | −46.0844 | −1.52685 | −0.763423 | − | 0.645899i | \(-0.776483\pi\) | ||||
−0.763423 | + | 0.645899i | \(0.776483\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.39205 | 0.0460702 | ||||||||
\(914\) | 0.0677214 | − | 0.117297i | 0.00224002 | − | 0.00387984i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −8.16262 | − | 14.1381i | −0.269701 | − | 0.467135i | ||||
\(917\) | −0.379398 | − | 4.87537i | −0.0125288 | − | 0.160999i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −40.1277 | −1.32369 | −0.661845 | − | 0.749641i | \(-0.730226\pi\) | ||||
−0.661845 | + | 0.749641i | \(0.730226\pi\) | |||||||
\(920\) | −15.4910 | −0.510722 | ||||||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −4.21860 | + | 7.30683i | −0.138932 | + | 0.240638i | ||||
\(923\) | −1.81182 | − | 11.6146i | −0.0596367 | − | 0.382299i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −1.46725 | + | 2.54136i | −0.0482430 | + | 0.0835593i | ||||
\(926\) | −1.07049 | − | 1.85414i | −0.0351784 | − | 0.0609308i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −19.8211 | − | 34.3312i | −0.650660 | − | 1.12698i | ||||
\(929\) | 47.1060 | 1.54550 | 0.772750 | − | 0.634711i | \(-0.218881\pi\) | ||||
0.772750 | + | 0.634711i | \(0.218881\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 8.04751 | − | 20.8551i | 0.263746 | − | 0.683497i | ||||
\(932\) | −9.42842 | − | 16.3305i | −0.308838 | − | 0.534924i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −49.1906 | −1.60957 | ||||||||
\(935\) | 3.85144 | + | 6.67088i | 0.125955 | + | 0.218161i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 43.2558 | 1.41310 | 0.706552 | − | 0.707661i | \(-0.250249\pi\) | ||||
0.706552 | + | 0.707661i | \(0.250249\pi\) | |||||||
\(938\) | 45.9323 | + | 21.9580i | 1.49974 | + | 0.716955i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 22.6190 | 0.737750 | ||||||||
\(941\) | 21.2053 | + | 36.7287i | 0.691274 | + | 1.19732i | 0.971421 | + | 0.237365i | \(0.0762836\pi\) |
−0.280146 | + | 0.959957i | \(0.590383\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −17.6452 | −0.574608 | ||||||||
\(944\) | 44.6762 | 1.45409 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.73022 | + | 9.92503i | −0.186305 | + | 0.322691i | ||||
\(947\) | 21.9080 | + | 37.9458i | 0.711914 | + | 1.23307i | 0.964138 | + | 0.265403i | \(0.0855049\pi\) |
−0.252223 | + | 0.967669i | \(0.581162\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −8.34387 | − | 53.4881i | −0.270854 | − | 1.73630i | ||||
\(950\) | −2.84289 | + | 4.92402i | −0.0922354 | + | 0.159756i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 1.12540 | + | 14.4616i | 0.0364743 | + | 0.468704i | ||||
\(953\) | −8.09343 | − | 14.0182i | −0.262172 | − | 0.454095i | 0.704647 | − | 0.709558i | \(-0.251105\pi\) |
−0.966819 | + | 0.255463i | \(0.917772\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 18.7703 | − | 32.5111i | 0.607392 | − | 1.05203i | ||||
\(956\) | −3.90871 | + | 6.77008i | −0.126417 | + | 0.218960i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −5.98432 | − | 10.3651i | −0.193345 | − | 0.334883i | ||||
\(959\) | −0.577874 | − | 7.42583i | −0.0186605 | − | 0.239793i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −8.73113 | + | 15.1228i | −0.281649 | + | 0.487831i | ||||
\(962\) | 13.6092 | − | 10.9680i | 0.438777 | − | 0.353624i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −9.69091 | − | 16.7851i | −0.312123 | − | 0.540613i | ||||
\(965\) | −31.5366 | + | 54.6231i | −1.01520 | + | 1.75838i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −42.5994 | −1.36990 | −0.684952 | − | 0.728588i | \(-0.740177\pi\) | ||||
−0.684952 | + | 0.728588i | \(0.740177\pi\) | |||||||
\(968\) | 18.0158 | 0.579049 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 12.3228 | + | 21.3437i | 0.395661 | + | 0.685304i | ||||
\(971\) | −3.00538 | −0.0964472 | −0.0482236 | − | 0.998837i | \(-0.515356\pi\) | ||||
−0.0482236 | + | 0.998837i | \(0.515356\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 8.96795 | + | 4.28715i | 0.287499 | + | 0.137440i | ||||
\(974\) | −3.30710 | −0.105966 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −6.51782 | − | 11.2892i | −0.208630 | − | 0.361359i | ||||
\(977\) | 40.8447 | 1.30674 | 0.653368 | − | 0.757040i | \(-0.273355\pi\) | ||||
0.653368 | + | 0.757040i | \(0.273355\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 2.75369 | + | 4.76953i | 0.0880083 | + | 0.152435i | ||||
\(980\) | −15.9962 | + | 2.50479i | −0.510979 | + | 0.0800126i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 50.4105 | 1.60866 | ||||||||
\(983\) | −30.1629 | − | 52.2437i | −0.962047 | − | 1.66631i | −0.717348 | − | 0.696715i | \(-0.754644\pi\) |
−0.244699 | − | 0.969599i | \(-0.578689\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −19.2712 | − | 33.3788i | −0.614033 | − | 1.06354i | ||||
\(986\) | −20.7874 | + | 36.0048i | −0.662006 | + | 1.14663i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 8.43865 | − | 6.80096i | 0.268469 | − | 0.216367i | ||||
\(989\) | −11.1743 | + | 19.3544i | −0.355321 | + | 0.615433i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −45.9189 | −1.45866 | −0.729332 | − | 0.684160i | \(-0.760169\pi\) | ||||
−0.729332 | + | 0.684160i | \(0.760169\pi\) | |||||||
\(992\) | −34.3743 | −1.09139 | ||||||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −1.14775 | − | 14.7489i | −0.0364045 | − | 0.467808i | ||||
\(995\) | 7.06574 | + | 12.2382i | 0.223999 | + | 0.387978i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | −13.2885 | + | 23.0163i | −0.420850 | + | 0.728934i | −0.996023 | − | 0.0890978i | \(-0.971602\pi\) |
0.575172 | + | 0.818032i | \(0.304935\pi\) | |||||||
\(998\) | 34.0569 | 1.07805 | ||||||||
\(999\) | 0 | 0 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 819.2.n.e.100.2 | 16 | ||
3.2 | odd | 2 | 273.2.j.b.100.7 | ✓ | 16 | ||
7.4 | even | 3 | 819.2.s.e.802.7 | 16 | |||
13.3 | even | 3 | 819.2.s.e.289.7 | 16 | |||
21.11 | odd | 6 | 273.2.l.b.256.2 | yes | 16 | ||
39.29 | odd | 6 | 273.2.l.b.16.2 | yes | 16 | ||
91.81 | even | 3 | inner | 819.2.n.e.172.2 | 16 | ||
273.263 | odd | 6 | 273.2.j.b.172.7 | yes | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
273.2.j.b.100.7 | ✓ | 16 | 3.2 | odd | 2 | ||
273.2.j.b.172.7 | yes | 16 | 273.263 | odd | 6 | ||
273.2.l.b.16.2 | yes | 16 | 39.29 | odd | 6 | ||
273.2.l.b.256.2 | yes | 16 | 21.11 | odd | 6 | ||
819.2.n.e.100.2 | 16 | 1.1 | even | 1 | trivial | ||
819.2.n.e.172.2 | 16 | 91.81 | even | 3 | inner | ||
819.2.s.e.289.7 | 16 | 13.3 | even | 3 | |||
819.2.s.e.802.7 | 16 | 7.4 | even | 3 |