Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,3,Mod(19,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(8))
chi = DirichletCharacter(H, H._module([4, 7, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.u (of order \(8\), degree \(4\), 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: | \(7.84743161358\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{8})\) |
Twist minimal: | no (minimal twist has level 96) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{8}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Character | \(\chi\) | \(=\) | 288.19 |
Dual form | 288.3.u.b.91.2 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.92938 | + | 0.526758i | −0.964692 | + | 0.263379i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 3.44505 | − | 2.03264i | 0.861263 | − | 0.508159i | ||||
\(5\) | −3.51382 | + | 1.45547i | −0.702763 | + | 0.291094i | −0.705306 | − | 0.708903i | \(-0.749191\pi\) |
0.00254304 | + | 0.999997i | \(0.499191\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | −1.77216 | − | 1.77216i | −0.253166 | − | 0.253166i | 0.569101 | − | 0.822267i | \(-0.307291\pi\) |
−0.822267 | + | 0.569101i | \(0.807291\pi\) | |||||||
\(8\) | −5.57613 | + | 5.73645i | −0.697016 | + | 0.717056i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 6.01282 | − | 4.65909i | 0.601282 | − | 0.465909i | ||||
\(11\) | 3.84851 | − | 1.59411i | 0.349865 | − | 0.144919i | −0.200828 | − | 0.979626i | \(-0.564363\pi\) |
0.550693 | + | 0.834708i | \(0.314363\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 5.91643 | + | 2.45067i | 0.455110 | + | 0.188513i | 0.598449 | − | 0.801161i | \(-0.295784\pi\) |
−0.143339 | + | 0.989674i | \(0.545784\pi\) | |||||||
\(14\) | 4.35268 | + | 2.48568i | 0.310906 | + | 0.177549i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 7.73678 | − | 14.0051i | 0.483549 | − | 0.875318i | ||||
\(17\) | − | 10.3089i | − | 0.606406i | −0.952926 | − | 0.303203i | \(-0.901944\pi\) | ||
0.952926 | − | 0.303203i | \(-0.0980560\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.86839 | + | 6.92491i | −0.150968 | + | 0.364469i | −0.981212 | − | 0.192931i | \(-0.938201\pi\) |
0.830244 | + | 0.557399i | \(0.188201\pi\) | |||||||
\(20\) | −9.14684 | + | 12.1565i | −0.457342 | + | 0.607824i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −6.58556 | + | 5.10288i | −0.299344 | + | 0.231949i | ||||
\(23\) | 29.6688 | − | 29.6688i | 1.28995 | − | 1.28995i | 0.355131 | − | 0.934817i | \(-0.384436\pi\) |
0.934817 | − | 0.355131i | \(-0.115564\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −7.44916 | + | 7.44916i | −0.297966 | + | 0.297966i | ||||
\(26\) | −12.7060 | − | 1.61175i | −0.488692 | − | 0.0619905i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −9.70735 | − | 2.50303i | −0.346691 | − | 0.0893939i | ||||
\(29\) | 10.0526 | − | 24.2691i | 0.346641 | − | 0.836865i | −0.650371 | − | 0.759617i | \(-0.725387\pi\) |
0.997012 | − | 0.0772483i | \(-0.0246134\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | − | 7.83864i | − | 0.252859i | −0.991976 | − | 0.126430i | \(-0.959648\pi\) | ||
0.991976 | − | 0.126430i | \(-0.0403518\pi\) | |||||||
\(32\) | −7.54994 | + | 31.0966i | −0.235936 | + | 0.971769i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 5.43029 | + | 19.8898i | 0.159714 | + | 0.584995i | ||||
\(35\) | 8.80638 | + | 3.64772i | 0.251611 | + | 0.104221i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 56.8298 | − | 23.5397i | 1.53594 | − | 0.636208i | 0.555235 | − | 0.831693i | \(-0.312628\pi\) |
0.980707 | + | 0.195485i | \(0.0626282\pi\) | |||||||
\(38\) | 1.88648 | − | 14.8718i | 0.0496443 | − | 0.391362i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 11.2443 | − | 28.2727i | 0.281106 | − | 0.706818i | ||||
\(41\) | 18.3495 | + | 18.3495i | 0.447550 | + | 0.447550i | 0.894539 | − | 0.446989i | \(-0.147504\pi\) |
−0.446989 | + | 0.894539i | \(0.647504\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 54.2671 | − | 22.4782i | 1.26202 | − | 0.522748i | 0.351495 | − | 0.936190i | \(-0.385674\pi\) |
0.910530 | + | 0.413442i | \(0.135674\pi\) | |||||||
\(44\) | 10.0181 | − | 13.3144i | 0.227684 | − | 0.302600i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −41.6143 | + | 72.8708i | −0.904658 | + | 1.58415i | ||||
\(47\) | 55.9090 | 1.18955 | 0.594777 | − | 0.803891i | \(-0.297240\pi\) | ||||
0.594777 | + | 0.803891i | \(0.297240\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | − | 42.7189i | − | 0.871814i | ||||||
\(50\) | 10.4484 | − | 18.2962i | 0.208968 | − | 0.365924i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 25.3637 | − | 3.58328i | 0.487764 | − | 0.0689092i | ||||
\(53\) | −22.5283 | − | 54.3881i | −0.425062 | − | 1.02619i | −0.980832 | − | 0.194854i | \(-0.937577\pi\) |
0.555771 | − | 0.831336i | \(-0.312423\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −11.2028 | + | 11.2028i | −0.203687 | + | 0.203687i | ||||
\(56\) | 20.0477 | − | 0.284113i | 0.357995 | − | 0.00507345i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −6.61138 | + | 52.1197i | −0.113989 | + | 0.898615i | ||||
\(59\) | 43.1567 | + | 104.190i | 0.731470 | + | 1.76592i | 0.637637 | + | 0.770337i | \(0.279912\pi\) |
0.0938327 | + | 0.995588i | \(0.470088\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −6.15421 | + | 14.8576i | −0.100889 | + | 0.243567i | −0.966262 | − | 0.257561i | \(-0.917081\pi\) |
0.865373 | + | 0.501128i | \(0.167081\pi\) | |||||||
\(62\) | 4.12906 | + | 15.1238i | 0.0665978 | + | 0.243932i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −1.81363 | − | 63.9743i | −0.0283380 | − | 0.999598i | ||||
\(65\) | −24.3561 | −0.374710 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 52.0912 | + | 21.5769i | 0.777480 | + | 0.322043i | 0.735898 | − | 0.677092i | \(-0.236760\pi\) |
0.0415819 | + | 0.999135i | \(0.486760\pi\) | |||||||
\(68\) | −20.9542 | − | 35.5147i | −0.308151 | − | 0.522275i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | −18.9124 | − | 2.39903i | −0.270177 | − | 0.0342719i | ||||
\(71\) | −56.0775 | − | 56.0775i | −0.789824 | − | 0.789824i | 0.191641 | − | 0.981465i | \(-0.438619\pi\) |
−0.981465 | + | 0.191641i | \(0.938619\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −89.9701 | − | 89.9701i | −1.23247 | − | 1.23247i | −0.963013 | − | 0.269454i | \(-0.913157\pi\) |
−0.269454 | − | 0.963013i | \(-0.586843\pi\) | |||||||
\(74\) | −97.2469 | + | 75.3527i | −1.31415 | + | 1.01828i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 4.19406 | + | 29.6871i | 0.0551850 | + | 0.390619i | ||||
\(77\) | −9.64521 | − | 3.99518i | −0.125262 | − | 0.0518854i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −17.3956 | −0.220197 | −0.110099 | − | 0.993921i | \(-0.535117\pi\) | ||||
−0.110099 | + | 0.993921i | \(0.535117\pi\) | |||||||
\(80\) | −6.80164 | + | 60.4719i | −0.0850204 | + | 0.755899i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −45.0691 | − | 25.7376i | −0.549623 | − | 0.313873i | ||||
\(83\) | −2.34511 | + | 5.66160i | −0.0282544 | + | 0.0682121i | −0.937377 | − | 0.348317i | \(-0.886753\pi\) |
0.909123 | + | 0.416529i | \(0.136753\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 15.0043 | + | 36.2236i | 0.176521 | + | 0.426160i | ||||
\(86\) | −92.8615 | + | 71.9546i | −1.07979 | + | 0.836682i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −12.3153 | + | 30.9657i | −0.139947 | + | 0.351883i | ||||
\(89\) | −82.3147 | + | 82.3147i | −0.924884 | + | 0.924884i | −0.997369 | − | 0.0724854i | \(-0.976907\pi\) |
0.0724854 | + | 0.997369i | \(0.476907\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −6.14190 | − | 14.8278i | −0.0674934 | − | 0.162943i | ||||
\(92\) | 41.9047 | − | 162.516i | 0.455486 | − | 1.76648i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −107.870 | + | 29.4505i | −1.14755 | + | 0.313303i | ||||
\(95\) | − | 28.5077i | − | 0.300081i | ||||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −96.8541 | −0.998496 | −0.499248 | − | 0.866459i | \(-0.666390\pi\) | ||||
−0.499248 | + | 0.866459i | \(0.666390\pi\) | |||||||
\(98\) | 22.5025 | + | 82.4212i | 0.229617 | + | 0.841032i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −10.5213 | + | 40.8042i | −0.105213 | + | 0.408042i | ||||
\(101\) | 33.5632 | − | 13.9023i | 0.332309 | − | 0.137647i | −0.210289 | − | 0.977639i | \(-0.567441\pi\) |
0.542598 | + | 0.839992i | \(0.317441\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 93.2695 | + | 93.2695i | 0.905529 | + | 0.905529i | 0.995908 | − | 0.0903781i | \(-0.0288075\pi\) |
−0.0903781 | + | 0.995908i | \(0.528808\pi\) | |||||||
\(104\) | −47.0489 | + | 20.2741i | −0.452393 | + | 0.194943i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 72.1150 | + | 93.0686i | 0.680330 | + | 0.878005i | ||||
\(107\) | −43.1008 | + | 17.8530i | −0.402812 | + | 0.166850i | −0.574885 | − | 0.818234i | \(-0.694953\pi\) |
0.172074 | + | 0.985084i | \(0.444953\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −178.820 | − | 74.0698i | −1.64055 | − | 0.679539i | −0.644200 | − | 0.764857i | \(-0.722809\pi\) |
−0.996354 | + | 0.0853179i | \(0.972809\pi\) | |||||||
\(110\) | 15.7133 | − | 27.5157i | 0.142849 | − | 0.250142i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −38.5301 | + | 11.1084i | −0.344019 | + | 0.0991826i | ||||
\(113\) | − | 118.673i | − | 1.05020i | −0.851040 | − | 0.525100i | \(-0.824028\pi\) | ||
0.851040 | − | 0.525100i | \(-0.175972\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −61.0686 | + | 147.433i | −0.531032 | + | 1.28202i | ||||
\(116\) | −14.6985 | − | 104.042i | −0.126712 | − | 0.896910i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −138.149 | − | 178.289i | −1.17075 | − | 1.51092i | ||||
\(119\) | −18.2690 | + | 18.2690i | −0.153521 | + | 0.153521i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −73.2900 | + | 73.2900i | −0.605703 | + | 0.605703i | ||||
\(122\) | 4.04750 | − | 31.9078i | 0.0331762 | − | 0.261539i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −15.9331 | − | 27.0045i | −0.128493 | − | 0.217779i | ||||
\(125\) | 51.7197 | − | 124.862i | 0.413758 | − | 0.998899i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 62.6925i | 0.493642i | 0.969061 | + | 0.246821i | \(0.0793859\pi\) | ||||
−0.969061 | + | 0.246821i | \(0.920614\pi\) | |||||||
\(128\) | 37.1981 | + | 122.476i | 0.290610 | + | 0.956841i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 46.9923 | − | 12.8298i | 0.361480 | − | 0.0986906i | ||||
\(131\) | 17.7564 | + | 7.35493i | 0.135545 | + | 0.0561445i | 0.449425 | − | 0.893318i | \(-0.351629\pi\) |
−0.313880 | + | 0.949463i | \(0.601629\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 17.3553 | − | 7.18881i | 0.130491 | − | 0.0540512i | ||||
\(134\) | −111.870 | − | 14.1907i | −0.834848 | − | 0.105900i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 59.1364 | + | 57.4837i | 0.434827 | + | 0.422674i | ||||
\(137\) | 92.0457 | + | 92.0457i | 0.671866 | + | 0.671866i | 0.958146 | − | 0.286280i | \(-0.0924187\pi\) |
−0.286280 | + | 0.958146i | \(0.592419\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 196.984 | − | 81.5935i | 1.41715 | − | 0.587004i | 0.463009 | − | 0.886354i | \(-0.346770\pi\) |
0.954143 | + | 0.299350i | \(0.0967698\pi\) | |||||||
\(140\) | 37.7529 | − | 5.33358i | 0.269664 | − | 0.0380970i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 137.734 | + | 78.6558i | 0.969960 | + | 0.553914i | ||||
\(143\) | 26.6761 | 0.186546 | ||||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 99.9083i | 0.689023i | ||||||||
\(146\) | 220.979 | + | 126.195i | 1.51356 | + | 0.864346i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 147.934 | − | 196.610i | 0.999555 | − | 1.32845i | ||||
\(149\) | 45.4882 | + | 109.818i | 0.305290 | + | 0.737034i | 0.999845 | + | 0.0175953i | \(0.00560106\pi\) |
−0.694556 | + | 0.719439i | \(0.744399\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 34.9489 | − | 34.9489i | 0.231449 | − | 0.231449i | −0.581848 | − | 0.813298i | \(-0.697670\pi\) |
0.813298 | + | 0.581848i | \(0.197670\pi\) | |||||||
\(152\) | −23.7299 | − | 55.0685i | −0.156117 | − | 0.362293i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 20.7138 | + | 2.62754i | 0.134505 | + | 0.0170620i | ||||
\(155\) | 11.4089 | + | 27.5436i | 0.0736059 | + | 0.177700i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 9.76500 | − | 23.5748i | 0.0621975 | − | 0.150158i | −0.889725 | − | 0.456497i | \(-0.849104\pi\) |
0.951923 | + | 0.306339i | \(0.0991040\pi\) | |||||||
\(158\) | 33.5627 | − | 9.16325i | 0.212422 | − | 0.0579952i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −18.7311 | − | 120.256i | −0.117069 | − | 0.751603i | ||||
\(161\) | −105.156 | −0.653142 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 106.511 | + | 44.1185i | 0.653444 | + | 0.270666i | 0.684677 | − | 0.728847i | \(-0.259943\pi\) |
−0.0312326 | + | 0.999512i | \(0.509943\pi\) | |||||||
\(164\) | 100.513 | + | 25.9172i | 0.612885 | + | 0.158032i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 1.54233 | − | 12.1587i | 0.00929116 | − | 0.0732453i | ||||
\(167\) | −164.019 | − | 164.019i | −0.982148 | − | 0.982148i | 0.0176954 | − | 0.999843i | \(-0.494367\pi\) |
−0.999843 | + | 0.0176954i | \(0.994367\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −90.5027 | − | 90.5027i | −0.535519 | − | 0.535519i | ||||
\(170\) | −48.0301 | − | 61.9856i | −0.282530 | − | 0.364621i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 141.263 | − | 187.744i | 0.821297 | − | 1.09153i | ||||
\(173\) | 108.211 | + | 44.8224i | 0.625497 | + | 0.259089i | 0.672838 | − | 0.739790i | \(-0.265075\pi\) |
−0.0473416 | + | 0.998879i | \(0.515075\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 26.4022 | 0.150870 | ||||||||
\(176\) | 7.44950 | − | 66.2320i | 0.0423267 | − | 0.376318i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 115.457 | − | 202.177i | 0.648634 | − | 1.13582i | ||||
\(179\) | −31.4630 | + | 75.9583i | −0.175771 | + | 0.424348i | −0.987071 | − | 0.160281i | \(-0.948760\pi\) |
0.811301 | + | 0.584629i | \(0.198760\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −12.5046 | − | 30.1889i | −0.0690865 | − | 0.166789i | 0.885565 | − | 0.464516i | \(-0.153772\pi\) |
−0.954651 | + | 0.297726i | \(0.903772\pi\) | |||||||
\(182\) | 19.6608 | + | 25.3733i | 0.108026 | + | 0.139414i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 4.75650 | + | 335.630i | 0.0258505 | + | 1.82408i | ||||
\(185\) | −165.428 | + | 165.428i | −0.894207 | + | 0.894207i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −16.4335 | − | 39.6739i | −0.0878796 | − | 0.212160i | ||||
\(188\) | 192.610 | − | 113.643i | 1.02452 | − | 0.604483i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | 15.0167 | + | 55.0024i | 0.0790350 | + | 0.289486i | ||||
\(191\) | 39.4628i | 0.206612i | 0.994650 | + | 0.103306i | \(0.0329420\pi\) | ||||
−0.994650 | + | 0.103306i | \(0.967058\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 240.789 | 1.24761 | 0.623806 | − | 0.781579i | \(-0.285585\pi\) | ||||
0.623806 | + | 0.781579i | \(0.285585\pi\) | |||||||
\(194\) | 186.869 | − | 51.0186i | 0.963242 | − | 0.262983i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −86.8320 | − | 147.169i | −0.443020 | − | 0.750861i | ||||
\(197\) | −45.4553 | + | 18.8282i | −0.230738 | + | 0.0955747i | −0.495057 | − | 0.868861i | \(-0.664853\pi\) |
0.264319 | + | 0.964435i | \(0.414853\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −142.223 | − | 142.223i | −0.714690 | − | 0.714690i | 0.252823 | − | 0.967513i | \(-0.418641\pi\) |
−0.967513 | + | 0.252823i | \(0.918641\pi\) | |||||||
\(200\) | −1.19425 | − | 84.2691i | −0.00597124 | − | 0.421346i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | −57.4332 | + | 44.5026i | −0.284323 | + | 0.220310i | ||||
\(203\) | −60.8236 | + | 25.1939i | −0.299623 | + | 0.124108i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −91.1841 | − | 37.7697i | −0.444801 | − | 0.184242i | ||||
\(206\) | −229.083 | − | 130.822i | −1.11205 | − | 0.635060i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 80.0959 | − | 63.8998i | 0.385076 | − | 0.307211i | ||||
\(209\) | 31.2231i | 0.149393i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −106.314 | + | 256.666i | −0.503860 | + | 1.21643i | 0.443506 | + | 0.896272i | \(0.353735\pi\) |
−0.947366 | + | 0.320154i | \(0.896265\pi\) | |||||||
\(212\) | −188.162 | − | 141.578i | −0.887558 | − | 0.667820i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 73.7539 | − | 57.1489i | 0.344645 | − | 0.267051i | ||||
\(215\) | −157.968 | + | 157.968i | −0.734736 | + | 0.734736i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −13.8913 | + | 13.8913i | −0.0640154 | + | 0.0640154i | ||||
\(218\) | 384.030 | + | 48.7142i | 1.76161 | + | 0.223460i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −15.8230 | + | 61.3654i | −0.0719228 | + | 0.278934i | ||||
\(221\) | 25.2637 | − | 60.9919i | 0.114315 | − | 0.275981i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | − | 271.082i | − | 1.21561i | −0.794085 | − | 0.607807i | \(-0.792049\pi\) | ||
0.794085 | − | 0.607807i | \(-0.207951\pi\) | |||||||
\(224\) | 68.4879 | − | 41.7285i | 0.305750 | − | 0.186288i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 62.5117 | + | 228.965i | 0.276601 | + | 1.01312i | ||||
\(227\) | 347.113 | + | 143.779i | 1.52913 | + | 0.633387i | 0.979396 | − | 0.201951i | \(-0.0647283\pi\) |
0.549736 | + | 0.835338i | \(0.314728\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 280.382 | − | 116.138i | 1.22438 | − | 0.507153i | 0.325578 | − | 0.945515i | \(-0.394441\pi\) |
0.898798 | + | 0.438362i | \(0.144441\pi\) | |||||||
\(230\) | 40.1636 | − | 316.623i | 0.174624 | − | 1.37662i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 83.1638 | + | 192.994i | 0.358465 | + | 0.831869i | ||||
\(233\) | −225.247 | − | 225.247i | −0.966727 | − | 0.966727i | 0.0327367 | − | 0.999464i | \(-0.489578\pi\) |
−0.999464 | + | 0.0327367i | \(0.989578\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | −196.454 | + | 81.3740i | −0.835975 | + | 0.346272i | ||||
\(236\) | 360.457 | + | 271.217i | 1.52736 | + | 1.14922i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 25.6246 | − | 44.8713i | 0.107667 | − | 0.188535i | ||||
\(239\) | 117.750 | 0.492680 | 0.246340 | − | 0.969183i | \(-0.420772\pi\) | ||||
0.246340 | + | 0.969183i | \(0.420772\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 147.107i | 0.610402i | 0.952288 | + | 0.305201i | \(0.0987236\pi\) | ||||
−0.952288 | + | 0.305201i | \(0.901276\pi\) | |||||||
\(242\) | 102.799 | − | 180.011i | 0.424788 | − | 0.743846i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 8.99848 | + | 63.6944i | 0.0368790 | + | 0.261043i | ||||
\(245\) | 62.1761 | + | 150.106i | 0.253780 | + | 0.612679i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −33.9413 | + | 33.9413i | −0.137414 | + | 0.137414i | ||||
\(248\) | 44.9660 | + | 43.7093i | 0.181314 | + | 0.176247i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −34.0150 | + | 268.151i | −0.136060 | + | 1.07261i | ||||
\(251\) | 45.2497 | + | 109.242i | 0.180278 | + | 0.435228i | 0.988024 | − | 0.154302i | \(-0.0493128\pi\) |
−0.807746 | + | 0.589530i | \(0.799313\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 66.8856 | − | 161.476i | 0.264370 | − | 0.638245i | ||||
\(254\) | −33.0237 | − | 120.958i | −0.130015 | − | 0.476212i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −136.285 | − | 216.708i | −0.532362 | − | 0.846517i | ||||
\(257\) | −352.412 | −1.37125 | −0.685627 | − | 0.727953i | \(-0.740472\pi\) | ||||
−0.685627 | + | 0.727953i | \(0.740472\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −142.428 | − | 58.9955i | −0.549914 | − | 0.227782i | ||||
\(260\) | −83.9081 | + | 49.5071i | −0.322724 | + | 0.190412i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −38.1331 | − | 4.83719i | −0.145546 | − | 0.0184625i | ||||
\(263\) | −141.253 | − | 141.253i | −0.537083 | − | 0.537083i | 0.385588 | − | 0.922671i | \(-0.373999\pi\) |
−0.922671 | + | 0.385588i | \(0.873999\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 158.320 | + | 158.320i | 0.597435 | + | 0.597435i | ||||
\(266\) | −29.6983 | + | 23.0120i | −0.111648 | + | 0.0865113i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 223.315 | − | 31.5490i | 0.833264 | − | 0.117720i | ||||
\(269\) | −3.70368 | − | 1.53411i | −0.0137683 | − | 0.00570302i | 0.375789 | − | 0.926705i | \(-0.377372\pi\) |
−0.389557 | + | 0.921002i | \(0.627372\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 257.032 | 0.948457 | 0.474229 | − | 0.880402i | \(-0.342727\pi\) | ||||
0.474229 | + | 0.880402i | \(0.342727\pi\) | |||||||
\(272\) | −144.377 | − | 79.7576i | −0.530797 | − | 0.293227i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −226.077 | − | 129.106i | −0.825100 | − | 0.471189i | ||||
\(275\) | −16.7934 | + | 40.5429i | −0.0610670 | + | 0.147429i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 113.407 | + | 273.788i | 0.409410 | + | 0.988404i | 0.985293 | + | 0.170872i | \(0.0546584\pi\) |
−0.575883 | + | 0.817532i | \(0.695342\pi\) | |||||||
\(278\) | −337.078 | + | 261.188i | −1.21251 | + | 0.939526i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −70.0305 | + | 30.1772i | −0.250109 | + | 0.107776i | ||||
\(281\) | −158.872 | + | 158.872i | −0.565379 | + | 0.565379i | −0.930830 | − | 0.365451i | \(-0.880915\pi\) |
0.365451 | + | 0.930830i | \(0.380915\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −60.7983 | − | 146.780i | −0.214835 | − | 0.518657i | 0.779319 | − | 0.626627i | \(-0.215565\pi\) |
−0.994154 | + | 0.107970i | \(0.965565\pi\) | |||||||
\(284\) | −307.175 | − | 79.2047i | −1.08160 | − | 0.278890i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −51.4684 | + | 14.0518i | −0.179960 | + | 0.0491323i | ||||
\(287\) | − | 65.0367i | − | 0.226609i | ||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 182.727 | 0.632272 | ||||||||
\(290\) | −52.6275 | − | 192.762i | −0.181474 | − | 0.664695i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −492.828 | − | 127.075i | −1.68777 | − | 0.435189i | ||||
\(293\) | 226.956 | − | 94.0083i | 0.774595 | − | 0.320848i | 0.0398627 | − | 0.999205i | \(-0.487308\pi\) |
0.734732 | + | 0.678358i | \(0.237308\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −303.290 | − | 303.290i | −1.02810 | − | 1.02810i | ||||
\(296\) | −181.856 | + | 457.262i | −0.614379 | + | 1.54480i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −145.612 | − | 187.920i | −0.488630 | − | 0.630605i | ||||
\(299\) | 248.242 | − | 102.825i | 0.830240 | − | 0.343897i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −136.005 | − | 56.3351i | −0.451844 | − | 0.187160i | ||||
\(302\) | −49.0202 | + | 85.8394i | −0.162319 | + | 0.284236i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 74.7918 | + | 93.7485i | 0.246026 | + | 0.308383i | ||||
\(305\) | − | 61.1641i | − | 0.200538i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −148.584 | + | 358.713i | −0.483987 | + | 1.16845i | 0.473714 | + | 0.880679i | \(0.342913\pi\) |
−0.957700 | + | 0.287768i | \(0.907087\pi\) | |||||||
\(308\) | −41.3490 | + | 5.84161i | −0.134250 | + | 0.0189663i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −36.5210 | − | 47.1324i | −0.117810 | − | 0.152040i | ||||
\(311\) | −29.7614 | + | 29.7614i | −0.0956957 | + | 0.0956957i | −0.753334 | − | 0.657638i | \(-0.771556\pi\) |
0.657638 | + | 0.753334i | \(0.271556\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −337.512 | + | 337.512i | −1.07831 | + | 1.07831i | −0.0816511 | + | 0.996661i | \(0.526019\pi\) |
−0.996661 | + | 0.0816511i | \(0.973981\pi\) | |||||||
\(314\) | −6.42224 | + | 50.6287i | −0.0204530 | + | 0.161238i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −59.9286 | + | 35.3589i | −0.189648 | + | 0.111895i | ||||
\(317\) | 60.4601 | − | 145.964i | 0.190726 | − | 0.460453i | −0.799371 | − | 0.600837i | \(-0.794834\pi\) |
0.990097 | + | 0.140385i | \(0.0448339\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | − | 109.425i | − | 0.343024i | ||||||
\(320\) | 99.4855 | + | 222.154i | 0.310892 | + | 0.694232i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 202.886 | − | 55.3916i | 0.630081 | − | 0.172024i | ||||
\(323\) | 71.3882 | + | 29.5699i | 0.221016 | + | 0.0915478i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −62.3278 | + | 25.8170i | −0.191778 | + | 0.0794370i | ||||
\(326\) | −228.741 | − | 29.0158i | −0.701661 | − | 0.0890056i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −207.581 | + | 2.94180i | −0.632867 | + | 0.00896890i | ||||
\(329\) | −99.0799 | − | 99.0799i | −0.301155 | − | 0.301155i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −129.204 | + | 53.5180i | −0.390344 | + | 0.161686i | −0.569219 | − | 0.822186i | \(-0.692754\pi\) |
0.178875 | + | 0.983872i | \(0.442754\pi\) | |||||||
\(332\) | 3.42895 | + | 24.2713i | 0.0103281 | + | 0.0731063i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 402.853 | + | 230.057i | 1.20615 | + | 0.688794i | ||||
\(335\) | −214.443 | −0.640129 | ||||||||
\(336\) | 0 | 0 | ||||||||
\(337\) | − | 445.030i | − | 1.32056i | −0.751018 | − | 0.660282i | \(-0.770437\pi\) | ||
0.751018 | − | 0.660282i | \(-0.229563\pi\) | |||||||
\(338\) | 222.287 | + | 126.942i | 0.657655 | + | 0.375567i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 125.320 | + | 94.2938i | 0.368588 | + | 0.277335i | ||||
\(341\) | −12.4956 | − | 30.1671i | −0.0366441 | − | 0.0884667i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −162.541 | + | 162.541i | −0.473880 | + | 0.473880i | ||||
\(344\) | −173.655 | + | 436.641i | −0.504812 | + | 1.26931i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −232.391 | − | 29.4788i | −0.671651 | − | 0.0851988i | ||||
\(347\) | −146.847 | − | 354.520i | −0.423190 | − | 1.02167i | −0.981401 | − | 0.191971i | \(-0.938512\pi\) |
0.558211 | − | 0.829699i | \(-0.311488\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 69.5654 | − | 167.946i | 0.199328 | − | 0.481220i | −0.792334 | − | 0.610088i | \(-0.791134\pi\) |
0.991662 | + | 0.128868i | \(0.0411343\pi\) | |||||||
\(350\) | −50.9401 | + | 13.9076i | −0.145543 | + | 0.0397359i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 20.5153 | + | 131.711i | 0.0582820 | + | 0.374179i | ||||
\(353\) | 564.907 | 1.60030 | 0.800151 | − | 0.599799i | \(-0.204753\pi\) | ||||
0.800151 | + | 0.599799i | \(0.204753\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 278.665 | + | 115.427i | 0.784972 | + | 0.325146i | ||||
\(356\) | −116.263 | + | 450.894i | −0.326580 | + | 1.26656i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 20.6925 | − | 163.126i | 0.0578004 | − | 0.455660i | ||||
\(359\) | 32.3280 | + | 32.3280i | 0.0900501 | + | 0.0900501i | 0.750697 | − | 0.660647i | \(-0.229718\pi\) |
−0.660647 | + | 0.750697i | \(0.729718\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 215.539 | + | 215.539i | 0.597061 | + | 0.597061i | ||||
\(362\) | 40.0285 | + | 51.6591i | 0.110576 | + | 0.142705i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −51.2988 | − | 38.5985i | −0.140931 | − | 0.106040i | ||||
\(365\) | 447.087 | + | 185.190i | 1.22490 | + | 0.507369i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | 104.874 | 0.285762 | 0.142881 | − | 0.989740i | \(-0.454363\pi\) | ||||
0.142881 | + | 0.989740i | \(0.454363\pi\) | |||||||
\(368\) | −185.973 | − | 645.055i | −0.505361 | − | 1.75287i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 232.034 | − | 406.316i | 0.627120 | − | 1.09815i | ||||
\(371\) | −56.4607 | + | 136.308i | −0.152185 | + | 0.367407i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 222.064 | + | 536.109i | 0.595345 | + | 1.43729i | 0.878278 | + | 0.478150i | \(0.158692\pi\) |
−0.282934 | + | 0.959139i | \(0.591308\pi\) | |||||||
\(374\) | 52.6051 | + | 67.8898i | 0.140655 | + | 0.181524i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −311.756 | + | 320.719i | −0.829138 | + | 0.852977i | ||||
\(377\) | 118.951 | − | 118.951i | 0.315519 | − | 0.315519i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −208.624 | − | 503.662i | −0.550458 | − | 1.32892i | −0.917135 | − | 0.398576i | \(-0.869505\pi\) |
0.366677 | − | 0.930348i | \(-0.380495\pi\) | |||||||
\(380\) | −57.9458 | − | 98.2106i | −0.152489 | − | 0.258449i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −20.7873 | − | 76.1389i | −0.0544171 | − | 0.199317i | ||||
\(383\) | − | 639.737i | − | 1.67033i | −0.549997 | − | 0.835166i | \(-0.685371\pi\) | ||
0.549997 | − | 0.835166i | \(-0.314629\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 39.7063 | 0.103133 | ||||||||
\(386\) | −464.575 | + | 126.838i | −1.20356 | + | 0.328595i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −333.668 | + | 196.869i | −0.859968 | + | 0.507395i | ||||
\(389\) | 202.334 | − | 83.8094i | 0.520138 | − | 0.215448i | −0.107140 | − | 0.994244i | \(-0.534169\pi\) |
0.627278 | + | 0.778796i | \(0.284169\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −305.852 | − | 305.852i | −0.782231 | − | 0.782231i | ||||
\(392\) | 245.055 | + | 238.206i | 0.625139 | + | 0.607668i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 77.7829 | − | 60.2708i | 0.197419 | − | 0.152972i | ||||
\(395\) | 61.1248 | − | 25.3187i | 0.154746 | − | 0.0640980i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 385.027 | + | 159.483i | 0.969841 | + | 0.401721i | 0.810653 | − | 0.585527i | \(-0.199112\pi\) |
0.159188 | + | 0.987248i | \(0.449112\pi\) | |||||||
\(398\) | 349.321 | + | 199.486i | 0.877690 | + | 0.501222i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 46.6936 | + | 161.959i | 0.116734 | + | 0.404896i | ||||
\(401\) | 380.200i | 0.948131i | 0.880490 | + | 0.474065i | \(0.157214\pi\) | ||||
−0.880490 | + | 0.474065i | \(0.842786\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 19.2099 | − | 46.3768i | 0.0476672 | − | 0.115079i | ||||
\(404\) | 87.3686 | − | 116.116i | 0.216259 | − | 0.287416i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 104.081 | − | 80.6481i | 0.256357 | − | 0.198641i | ||||
\(407\) | 181.186 | − | 181.186i | 0.445174 | − | 0.445174i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −211.885 | + | 211.885i | −0.518056 | + | 0.518056i | −0.916983 | − | 0.398927i | \(-0.869383\pi\) |
0.398927 | + | 0.916983i | \(0.369383\pi\) | |||||||
\(410\) | 195.825 | + | 24.8404i | 0.477621 | + | 0.0605862i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 510.902 | + | 131.735i | 1.24005 | + | 0.319746i | ||||
\(413\) | 108.160 | − | 261.121i | 0.261889 | − | 0.632255i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | − | 23.3071i | − | 0.0561616i | ||||||
\(416\) | −120.876 | + | 165.478i | −0.290567 | + | 0.397785i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −16.4470 | − | 60.2414i | −0.0393469 | − | 0.144118i | ||||
\(419\) | −299.129 | − | 123.903i | −0.713913 | − | 0.295712i | −0.00399003 | − | 0.999992i | \(-0.501270\pi\) |
−0.709923 | + | 0.704280i | \(0.751270\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −61.3330 | + | 25.4050i | −0.145684 | + | 0.0603444i | −0.454334 | − | 0.890831i | \(-0.650123\pi\) |
0.308650 | + | 0.951176i | \(0.400123\pi\) | |||||||
\(422\) | 69.9208 | − | 551.209i | 0.165689 | − | 1.30618i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 437.615 | + | 174.042i | 1.03211 | + | 0.410477i | ||||
\(425\) | 76.7926 | + | 76.7926i | 0.180688 | + | 0.180688i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 37.2363 | − | 15.4238i | 0.0872044 | − | 0.0361213i | ||||
\(428\) | −112.196 | + | 149.113i | −0.262140 | + | 0.348394i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 221.571 | − | 387.993i | 0.515280 | − | 0.902308i | ||||
\(431\) | 141.289 | 0.327818 | 0.163909 | − | 0.986475i | \(-0.447590\pi\) | ||||
0.163909 | + | 0.986475i | \(0.447590\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 37.0779i | − | 0.0856302i | −0.999083 | − | 0.0428151i | \(-0.986367\pi\) | ||
0.999083 | − | 0.0428151i | \(-0.0136326\pi\) | |||||||
\(434\) | 19.4844 | − | 34.1191i | 0.0448949 | − | 0.0786155i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −766.602 | + | 108.302i | −1.75826 | + | 0.248400i | ||||
\(437\) | 120.352 | + | 290.555i | 0.275405 | + | 0.664886i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −388.870 | + | 388.870i | −0.885809 | + | 0.885809i | −0.994117 | − | 0.108308i | \(-0.965457\pi\) |
0.108308 | + | 0.994117i | \(0.465457\pi\) | |||||||
\(440\) | −1.79603 | − | 126.732i | −0.00408189 | − | 0.288028i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −16.6154 | + | 130.985i | −0.0375914 | + | 0.296345i | ||||
\(443\) | −148.114 | − | 357.578i | −0.334342 | − | 0.807174i | −0.998237 | − | 0.0593479i | \(-0.981098\pi\) |
0.663895 | − | 0.747826i | \(-0.268902\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 169.432 | − | 409.045i | 0.380746 | − | 0.919203i | ||||
\(446\) | 142.794 | + | 523.021i | 0.320167 | + | 1.17269i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −110.159 | + | 116.587i | −0.245890 | + | 0.260239i | ||||
\(449\) | 448.262 | 0.998357 | 0.499178 | − | 0.866499i | \(-0.333635\pi\) | ||||
0.499178 | + | 0.866499i | \(0.333635\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 99.8696 | + | 41.3673i | 0.221440 | + | 0.0917236i | ||||
\(452\) | −241.218 | − | 408.834i | −0.533669 | − | 0.904499i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −745.451 | − | 94.5604i | −1.64196 | − | 0.208283i | ||||
\(455\) | 43.1630 | + | 43.1630i | 0.0948637 | + | 0.0948637i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −124.862 | − | 124.862i | −0.273220 | − | 0.273220i | 0.557175 | − | 0.830395i | \(-0.311885\pi\) |
−0.830395 | + | 0.557175i | \(0.811885\pi\) | |||||||
\(458\) | −479.788 | + | 371.768i | −1.04757 | + | 0.811722i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 89.2925 | + | 632.044i | 0.194114 | + | 1.37401i | ||||
\(461\) | −719.707 | − | 298.112i | −1.56119 | − | 0.646664i | −0.575891 | − | 0.817526i | \(-0.695345\pi\) |
−0.985295 | + | 0.170862i | \(0.945345\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 638.467 | 1.37898 | 0.689490 | − | 0.724296i | \(-0.257835\pi\) | ||||
0.689490 | + | 0.724296i | \(0.257835\pi\) | |||||||
\(464\) | −262.116 | − | 328.552i | −0.564905 | − | 0.708086i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 553.240 | + | 315.938i | 1.18721 | + | 0.677979i | ||||
\(467\) | −198.699 | + | 479.701i | −0.425479 | + | 1.02720i | 0.555225 | + | 0.831700i | \(0.312632\pi\) |
−0.980704 | + | 0.195498i | \(0.937368\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −54.0763 | − | 130.552i | −0.115301 | − | 0.278362i | ||||
\(470\) | 336.171 | − | 260.485i | 0.715258 | − | 0.554224i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −838.325 | − | 333.408i | −1.77611 | − | 0.706373i | ||||
\(473\) | 173.015 | − | 173.015i | 0.365782 | − | 0.365782i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | −30.2176 | − | 72.9518i | −0.0636161 | − | 0.153583i | ||||
\(476\) | −25.8035 | + | 100.072i | −0.0542090 | + | 0.210235i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −227.186 | + | 62.0260i | −0.475285 | + | 0.129761i | ||||
\(479\) | 187.389i | 0.391210i | 0.980683 | + | 0.195605i | \(0.0626670\pi\) | ||||
−0.980683 | + | 0.195605i | \(0.937333\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 393.918 | 0.818956 | ||||||||
\(482\) | −77.4896 | − | 283.826i | −0.160767 | − | 0.588850i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −103.516 | + | 401.460i | −0.213876 | + | 0.829463i | ||||
\(485\) | 340.328 | − | 140.968i | 0.701706 | − | 0.290656i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −102.810 | − | 102.810i | −0.211109 | − | 0.211109i | 0.593630 | − | 0.804738i | \(-0.297694\pi\) |
−0.804738 | + | 0.593630i | \(0.797694\pi\) | |||||||
\(488\) | −50.9130 | − | 118.151i | −0.104330 | − | 0.242113i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | −199.031 | − | 256.861i | −0.406186 | − | 0.524206i | ||||
\(491\) | −27.1673 | + | 11.2530i | −0.0553305 | + | 0.0229186i | −0.410177 | − | 0.912006i | \(-0.634533\pi\) |
0.354847 | + | 0.934925i | \(0.384533\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −250.187 | − | 103.631i | −0.507480 | − | 0.210205i | ||||
\(494\) | 47.6070 | − | 83.3646i | 0.0963704 | − | 0.168754i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −109.781 | − | 60.6458i | −0.221332 | − | 0.122270i | ||||
\(497\) | 198.757i | 0.399913i | ||||||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 337.667 | − | 815.199i | 0.676687 | − | 1.63367i | −0.0933244 | − | 0.995636i | \(-0.529749\pi\) |
0.770011 | − | 0.638031i | \(-0.220251\pi\) | |||||||
\(500\) | −75.6228 | − | 535.285i | −0.151246 | − | 1.07057i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −144.848 | − | 186.935i | −0.288542 | − | 0.372380i | ||||
\(503\) | −227.122 | + | 227.122i | −0.451535 | + | 0.451535i | −0.895864 | − | 0.444329i | \(-0.853442\pi\) |
0.444329 | + | 0.895864i | \(0.353442\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −97.7005 | + | 97.7005i | −0.193466 | + | 0.193466i | ||||
\(506\) | −43.9893 | + | 346.782i | −0.0869353 | + | 0.685340i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | 127.431 | + | 215.979i | 0.250848 | + | 0.425155i | ||||
\(509\) | −368.723 | + | 890.175i | −0.724406 | + | 1.74887i | −0.0640139 | + | 0.997949i | \(0.520390\pi\) |
−0.660392 | + | 0.750921i | \(0.729610\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 318.883i | 0.624038i | ||||||||
\(512\) | 377.098 | + | 346.325i | 0.736520 | + | 0.676416i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 679.939 | − | 185.636i | 1.32284 | − | 0.361159i | ||||
\(515\) | −463.483 | − | 191.981i | −0.899967 | − | 0.372779i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 215.167 | − | 89.1250i | 0.416183 | − | 0.172389i | ||||
\(518\) | 305.874 | + | 38.8002i | 0.590491 | + | 0.0749038i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 135.813 | − | 139.718i | 0.261178 | − | 0.268688i | ||||
\(521\) | −32.7289 | − | 32.7289i | −0.0628193 | − | 0.0628193i | 0.674999 | − | 0.737818i | \(-0.264144\pi\) |
−0.737818 | + | 0.674999i | \(0.764144\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 935.815 | − | 387.627i | 1.78932 | − | 0.741161i | 0.799180 | − | 0.601092i | \(-0.205268\pi\) |
0.990142 | − | 0.140069i | \(-0.0447324\pi\) | |||||||
\(524\) | 76.1215 | − | 10.7541i | 0.145270 | − | 0.0205231i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 346.937 | + | 198.125i | 0.659576 | + | 0.376664i | ||||
\(527\) | −80.8077 | −0.153335 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | − | 1231.47i | − | 2.32793i | ||||||
\(530\) | −388.857 | − | 222.065i | −0.733693 | − | 0.418990i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 45.1777 | − | 60.0429i | 0.0849206 | − | 0.112863i | ||||
\(533\) | 63.5952 | + | 153.532i | 0.119316 | + | 0.288053i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 125.464 | − | 125.464i | 0.234512 | − | 0.234512i | ||||
\(536\) | −414.241 | + | 178.503i | −0.772838 | + | 0.333028i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 7.95392 | + | 1.00895i | 0.0147842 | + | 0.00187538i | ||||
\(539\) | −68.0985 | − | 164.404i | −0.126342 | − | 0.305017i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −163.969 | + | 395.857i | −0.303086 | + | 0.731713i | 0.696810 | + | 0.717256i | \(0.254602\pi\) |
−0.999895 | + | 0.0144574i | \(0.995398\pi\) | |||||||
\(542\) | −495.913 | + | 135.393i | −0.914969 | + | 0.249803i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 320.572 | + | 77.8315i | 0.589286 | + | 0.143073i | ||||
\(545\) | 736.148 | 1.35073 | ||||||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −343.207 | − | 142.161i | −0.627436 | − | 0.259892i | 0.0462275 | − | 0.998931i | \(-0.485280\pi\) |
−0.673663 | + | 0.739039i | \(0.735280\pi\) | |||||||
\(548\) | 504.198 | + | 130.007i | 0.920069 | + | 0.237239i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 11.0447 | − | 87.0690i | 0.0200813 | − | 0.158307i | ||||
\(551\) | 139.226 | + | 139.226i | 0.252680 | + | 0.252680i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 30.8278 | + | 30.8278i | 0.0557464 | + | 0.0557464i | ||||
\(554\) | −363.025 | − | 468.504i | −0.655280 | − | 0.845676i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 512.771 | − | 681.491i | 0.922250 | − | 1.22570i | ||||
\(557\) | −899.481 | − | 372.577i | −1.61487 | − | 0.668900i | −0.621450 | − | 0.783454i | \(-0.713456\pi\) |
−0.993417 | + | 0.114554i | \(0.963456\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 376.154 | 0.672905 | ||||||||
\(560\) | 119.220 | − | 95.1125i | 0.212892 | − | 0.169844i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 222.838 | − | 390.211i | 0.396508 | − | 0.694326i | ||||
\(563\) | −151.645 | + | 366.103i | −0.269351 | + | 0.650271i | −0.999453 | − | 0.0330670i | \(-0.989473\pi\) |
0.730102 | + | 0.683338i | \(0.239473\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 172.725 | + | 416.994i | 0.305707 | + | 0.738042i | ||||
\(566\) | 194.621 | + | 251.169i | 0.343853 | + | 0.443762i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 634.381 | − | 8.99034i | 1.11687 | − | 0.0158281i | ||||
\(569\) | 39.9530 | − | 39.9530i | 0.0702161 | − | 0.0702161i | −0.671127 | − | 0.741343i | \(-0.734189\pi\) |
0.741343 | + | 0.671127i | \(0.234189\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 219.435 | + | 529.764i | 0.384300 | + | 0.927783i | 0.991123 | + | 0.132946i | \(0.0424437\pi\) |
−0.606823 | + | 0.794837i | \(0.707556\pi\) | |||||||
\(572\) | 91.9005 | − | 54.2228i | 0.160665 | − | 0.0947951i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 34.2586 | + | 125.481i | 0.0596839 | + | 0.218608i | ||||
\(575\) | 442.015i | 0.768722i | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 379.788 | 0.658211 | 0.329106 | − | 0.944293i | \(-0.393253\pi\) | ||||
0.329106 | + | 0.944293i | \(0.393253\pi\) | |||||||
\(578\) | −352.550 | + | 96.2527i | −0.609948 | + | 0.166527i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 203.077 | + | 344.190i | 0.350133 | + | 0.593430i | ||||
\(581\) | 14.1892 | − | 5.87736i | 0.0244220 | − | 0.0101159i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −173.401 | − | 173.401i | −0.297428 | − | 0.297428i | ||||
\(584\) | 1017.79 | − | 14.4240i | 1.74280 | − | 0.0246986i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −388.366 | + | 300.929i | −0.662741 | + | 0.513531i | ||||
\(587\) | 356.813 | − | 147.797i | 0.607859 | − | 0.251783i | −0.0574538 | − | 0.998348i | \(-0.518298\pi\) |
0.665313 | + | 0.746565i | \(0.268298\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 54.2819 | + | 22.4843i | 0.0921594 | + | 0.0381737i | ||||
\(590\) | 744.923 | + | 425.402i | 1.26258 | + | 0.721021i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 110.005 | − | 978.028i | 0.185819 | − | 1.65207i | ||||
\(593\) | − | 458.301i | − | 0.772852i | −0.922320 | − | 0.386426i | \(-0.873710\pi\) | ||
0.922320 | − | 0.386426i | \(-0.126290\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 37.6040 | − | 90.7841i | 0.0632000 | − | 0.152578i | ||||
\(596\) | 379.929 | + | 285.868i | 0.637466 | + | 0.479645i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −424.790 | + | 329.152i | −0.710351 | + | 0.550422i | ||||
\(599\) | 591.730 | − | 591.730i | 0.987864 | − | 0.987864i | −0.0120636 | − | 0.999927i | \(-0.503840\pi\) |
0.999927 | + | 0.0120636i | \(0.00384006\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −173.189 | + | 173.189i | −0.288168 | + | 0.288168i | −0.836355 | − | 0.548188i | \(-0.815318\pi\) |
0.548188 | + | 0.836355i | \(0.315318\pi\) | |||||||
\(602\) | 292.081 | + | 37.0504i | 0.485184 | + | 0.0615456i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 49.3623 | − | 191.439i | 0.0817257 | − | 0.316952i | ||||
\(605\) | 150.856 | − | 364.199i | 0.249349 | − | 0.601982i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 945.400i | 1.55750i | 0.627337 | + | 0.778748i | \(0.284145\pi\) | ||||
−0.627337 | + | 0.778748i | \(0.715855\pi\) | |||||||
\(608\) | −193.685 | − | 141.480i | −0.318561 | − | 0.232697i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 32.2186 | + | 118.009i | 0.0528174 | + | 0.193457i | ||||
\(611\) | 330.782 | + | 137.014i | 0.541378 | + | 0.224246i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −1004.10 | + | 415.913i | −1.63801 | + | 0.678487i | −0.996095 | − | 0.0882859i | \(-0.971861\pi\) |
−0.641918 | + | 0.766773i | \(0.721861\pi\) | |||||||
\(614\) | 97.7206 | − | 770.363i | 0.159154 | − | 1.25466i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 76.7010 | − | 33.0516i | 0.124515 | − | 0.0536552i | ||||
\(617\) | 534.837 | + | 534.837i | 0.866834 | + | 0.866834i | 0.992121 | − | 0.125287i | \(-0.0399850\pi\) |
−0.125287 | + | 0.992121i | \(0.539985\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −690.590 | + | 286.052i | −1.11565 | + | 0.462119i | −0.862881 | − | 0.505406i | \(-0.831343\pi\) |
−0.252773 | + | 0.967526i | \(0.581343\pi\) | |||||||
\(620\) | 95.2903 | + | 71.6988i | 0.153694 | + | 0.115643i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 41.7441 | − | 73.0982i | 0.0671127 | − | 0.117521i | ||||
\(623\) | 291.750 | 0.468298 | ||||||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 250.653i | 0.401044i | ||||||||
\(626\) | 473.403 | − | 828.977i | 0.756235 | − | 1.32424i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −14.2781 | − | 101.065i | −0.0227358 | − | 0.160932i | ||||
\(629\) | −242.668 | − | 585.853i | −0.385800 | − | 0.931404i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −842.968 | + | 842.968i | −1.33592 | + | 1.33592i | −0.435955 | + | 0.899969i | \(0.643589\pi\) |
−0.899969 | + | 0.435955i | \(0.856411\pi\) | |||||||
\(632\) | 96.9999 | − | 99.7887i | 0.153481 | − | 0.157894i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −39.7634 | + | 313.468i | −0.0627182 | + | 0.494429i | ||||
\(635\) | −91.2470 | − | 220.290i | −0.143696 | − | 0.346913i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 104.690 | − | 252.743i | 0.164348 | − | 0.396771i | ||||
\(638\) | 57.6404 | + | 211.123i | 0.0903454 | + | 0.330913i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | −308.967 | − | 376.216i | −0.482761 | − | 0.587838i | ||||
\(641\) | −777.384 | −1.21277 | −0.606384 | − | 0.795172i | \(-0.707380\pi\) | ||||
−0.606384 | + | 0.795172i | \(0.707380\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | −227.049 | − | 94.0468i | −0.353109 | − | 0.146262i | 0.199076 | − | 0.979984i | \(-0.436206\pi\) |
−0.552185 | + | 0.833722i | \(0.686206\pi\) | |||||||
\(644\) | −362.267 | + | 213.744i | −0.562527 | + | 0.331900i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −153.311 | − | 19.4475i | −0.237324 | − | 0.0301046i | ||||
\(647\) | 565.813 | + | 565.813i | 0.874518 | + | 0.874518i | 0.992961 | − | 0.118443i | \(-0.0377902\pi\) |
−0.118443 | + | 0.992961i | \(0.537790\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 332.179 | + | 332.179i | 0.511831 | + | 0.511831i | ||||
\(650\) | 106.655 | − | 82.6427i | 0.164085 | − | 0.127143i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 456.614 | − | 64.5085i | 0.700329 | − | 0.0989395i | ||||
\(653\) | −898.790 | − | 372.291i | −1.37640 | − | 0.570124i | −0.432885 | − | 0.901449i | \(-0.642504\pi\) |
−0.943517 | + | 0.331325i | \(0.892504\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −73.0975 | −0.111599 | ||||||||
\(656\) | 398.953 | − | 115.020i | 0.608160 | − | 0.175336i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 243.354 | + | 138.972i | 0.369839 | + | 0.211204i | ||||
\(659\) | −41.7411 | + | 100.772i | −0.0633401 | + | 0.152916i | −0.952380 | − | 0.304913i | \(-0.901373\pi\) |
0.889040 | + | 0.457829i | \(0.151373\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 146.403 | + | 353.448i | 0.221487 | + | 0.534717i | 0.995092 | − | 0.0989510i | \(-0.0315487\pi\) |
−0.773605 | + | 0.633668i | \(0.781549\pi\) | |||||||
\(662\) | 221.093 | − | 171.316i | 0.333977 | − | 0.258785i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −19.4008 | − | 45.0224i | −0.0292181 | − | 0.0678049i | ||||
\(665\) | −50.5203 | + | 50.5203i | −0.0759704 | + | 0.0759704i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −421.786 | − | 1018.28i | −0.632363 | − | 1.52666i | ||||
\(668\) | −898.444 | − | 231.663i | −1.34498 | − | 0.346800i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 413.744 | − | 112.960i | 0.617528 | − | 0.168596i | ||||
\(671\) | 66.9901i | 0.0998362i | ||||||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −963.294 | −1.43134 | −0.715672 | − | 0.698437i | \(-0.753879\pi\) | ||||
−0.715672 | + | 0.698437i | \(0.753879\pi\) | |||||||
\(674\) | 234.423 | + | 858.634i | 0.347809 | + | 1.27394i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −495.745 | − | 127.827i | −0.733351 | − | 0.189094i | ||||
\(677\) | −831.075 | + | 344.243i | −1.22759 | + | 0.508482i | −0.899814 | − | 0.436274i | \(-0.856298\pi\) |
−0.327772 | + | 0.944757i | \(0.606298\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 171.641 | + | 171.641i | 0.252785 | + | 0.252785i | ||||
\(680\) | −291.460 | − | 115.916i | −0.428618 | − | 0.170464i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 39.9997 | + | 51.6218i | 0.0586505 | + | 0.0756918i | ||||
\(683\) | 18.6885 | − | 7.74102i | 0.0273623 | − | 0.0113338i | −0.368960 | − | 0.929445i | \(-0.620286\pi\) |
0.396323 | + | 0.918111i | \(0.370286\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −457.401 | − | 189.462i | −0.667739 | − | 0.276587i | ||||
\(686\) | 227.984 | − | 399.223i | 0.332338 | − | 0.581958i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 105.044 | − | 933.923i | 0.152680 | − | 1.35745i | ||||
\(689\) | − | 376.992i | − | 0.547159i | ||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −446.223 | + | 1077.28i | −0.645764 | + | 1.55901i | 0.173025 | + | 0.984918i | \(0.444646\pi\) |
−0.818789 | + | 0.574095i | \(0.805354\pi\) | |||||||
\(692\) | 463.900 | − | 65.5378i | 0.670376 | − | 0.0947079i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 470.070 | + | 606.652i | 0.677335 | + | 0.874139i | ||||
\(695\) | −573.409 | + | 573.409i | −0.825049 | + | 0.825049i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 189.163 | − | 189.163i | 0.271397 | − | 0.271397i | ||||
\(698\) | −45.7517 | + | 360.676i | −0.0655469 | + | 0.516728i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 90.9571 | − | 53.6661i | 0.129939 | − | 0.0766659i | ||||
\(701\) | −306.247 | + | 739.346i | −0.436872 | + | 1.05470i | 0.540152 | + | 0.841568i | \(0.318367\pi\) |
−0.977023 | + | 0.213133i | \(0.931633\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | 461.063i | 0.655850i | ||||||||
\(704\) | −108.962 | − | 243.315i | −0.154775 | − | 0.345618i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1089.92 | + | 297.569i | −1.54380 | + | 0.421486i | ||||
\(707\) | −84.1166 | − | 34.8423i | −0.118977 | − | 0.0492818i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 154.774 | − | 64.1095i | 0.218299 | − | 0.0904225i | −0.270854 | − | 0.962620i | \(-0.587306\pi\) |
0.489153 | + | 0.872198i | \(0.337306\pi\) | |||||||
\(710\) | −598.454 | − | 75.9139i | −0.842893 | − | 0.106921i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −13.1967 | − | 931.191i | −0.0185347 | − | 1.30785i | ||||
\(713\) | −232.563 | − | 232.563i | −0.326175 | − | 0.326175i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −93.7349 | + | 38.8263i | −0.131098 | + | 0.0543025i | ||||
\(716\) | 46.0041 | + | 325.633i | 0.0642515 | + | 0.454795i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | −79.4022 | − | 45.3441i | −0.110588 | − | 0.0631534i | ||||
\(719\) | 385.344 | 0.535945 | 0.267972 | − | 0.963427i | \(-0.413646\pi\) | ||||
0.267972 | + | 0.963427i | \(0.413646\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | − | 330.577i | − | 0.458499i | ||||||
\(722\) | −529.394 | − | 302.321i | −0.733233 | − | 0.418727i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −104.442 | − | 78.5849i | −0.144257 | − | 0.108543i | ||||
\(725\) | 105.901 | + | 255.668i | 0.146070 | + | 0.352645i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 536.444 | − | 536.444i | 0.737887 | − | 0.737887i | −0.234282 | − | 0.972169i | \(-0.575274\pi\) |
0.972169 | + | 0.234282i | \(0.0752738\pi\) | |||||||
\(728\) | 119.307 | + | 47.4493i | 0.163883 | + | 0.0651776i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −960.154 | − | 121.795i | −1.31528 | − | 0.166843i | ||||
\(731\) | −231.725 | − | 559.434i | −0.316997 | − | 0.765299i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −242.875 | + | 586.351i | −0.331343 | + | 0.799933i | 0.667143 | + | 0.744930i | \(0.267517\pi\) |
−0.998486 | + | 0.0550036i | \(0.982483\pi\) | |||||||
\(734\) | −202.343 | + | 55.2434i | −0.275672 | + | 0.0752635i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 698.601 | + | 1146.60i | 0.949186 | + | 1.55788i | ||||
\(737\) | 234.869 | 0.318683 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 54.0032 | + | 22.3689i | 0.0730761 | + | 0.0302691i | 0.418922 | − | 0.908022i | \(-0.362408\pi\) |
−0.345846 | + | 0.938291i | \(0.612408\pi\) | |||||||
\(740\) | −233.654 | + | 906.165i | −0.315748 | + | 1.22455i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 37.1330 | − | 292.732i | 0.0500445 | − | 0.394518i | ||||
\(743\) | 133.806 | + | 133.806i | 0.180089 | + | 0.180089i | 0.791395 | − | 0.611306i | \(-0.209355\pi\) |
−0.611306 | + | 0.791395i | \(0.709355\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −319.674 | − | 319.674i | −0.429093 | − | 0.429093i | ||||
\(746\) | −710.845 | − | 917.387i | −0.952876 | − | 1.22974i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −137.257 | − | 103.275i | −0.183499 | − | 0.138069i | ||||
\(749\) | 108.020 | + | 44.7433i | 0.144219 | + | 0.0597374i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −130.879 | −0.174274 | −0.0871368 | − | 0.996196i | \(-0.527772\pi\) | ||||
−0.0871368 | + | 0.996196i | \(0.527772\pi\) | |||||||
\(752\) | 432.556 | − | 783.011i | 0.575207 | − | 1.04124i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −166.844 | + | 292.160i | −0.221278 | + | 0.387480i | ||||
\(755\) | −71.9369 | + | 173.671i | −0.0952806 | + | 0.230028i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −227.679 | − | 549.666i | −0.300765 | − | 0.726111i | −0.999938 | − | 0.0111581i | \(-0.996448\pi\) |
0.699173 | − | 0.714953i | \(-0.253552\pi\) | |||||||
\(758\) | 667.823 | + | 861.864i | 0.881033 | + | 1.13702i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 163.533 | + | 158.963i | 0.215175 | + | 0.209161i | ||||
\(761\) | −492.512 | + | 492.512i | −0.647190 | + | 0.647190i | −0.952313 | − | 0.305123i | \(-0.901302\pi\) |
0.305123 | + | 0.952313i | \(0.401302\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 185.635 | + | 448.162i | 0.243296 | + | 0.587369i | ||||
\(764\) | 80.2135 | + | 135.951i | 0.104992 | + | 0.177947i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 336.987 | + | 1234.30i | 0.439930 | + | 1.61136i | ||||
\(767\) | 722.193i | 0.941582i | ||||||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 580.628 | 0.755043 | 0.377521 | − | 0.926001i | \(-0.376776\pi\) | ||||
0.377521 | + | 0.926001i | \(0.376776\pi\) | |||||||
\(770\) | −76.6088 | + | 20.9156i | −0.0994920 | + | 0.0271631i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 829.532 | − | 489.437i | 1.07452 | − | 0.633986i | ||||
\(773\) | −223.125 | + | 92.4212i | −0.288648 | + | 0.119562i | −0.522309 | − | 0.852756i | \(-0.674929\pi\) |
0.233661 | + | 0.972318i | \(0.424929\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 58.3913 | + | 58.3913i | 0.0753436 | + | 0.0753436i | ||||
\(776\) | 540.071 | − | 555.598i | 0.695968 | − | 0.715977i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −346.232 | + | 268.281i | −0.445029 | + | 0.344835i | ||||
\(779\) | −179.703 | + | 74.4352i | −0.230684 | + | 0.0955523i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −305.208 | − | 126.421i | −0.390792 | − | 0.161871i | ||||
\(782\) | 751.217 | + | 428.997i | 0.960636 | + | 0.548590i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −598.281 | − | 330.506i | −0.763114 | − | 0.421564i | ||||
\(785\) | 97.0502i | 0.123631i | ||||||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 13.5600 | − | 32.7368i | 0.0172300 | − | 0.0415970i | −0.915030 | − | 0.403385i | \(-0.867834\pi\) |
0.932260 | + | 0.361788i | \(0.117834\pi\) | |||||||
\(788\) | −118.325 | + | 157.258i | −0.150159 | + | 0.199566i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −104.596 | + | 81.0475i | −0.132401 | + | 0.102592i | ||||
\(791\) | −210.307 | + | 210.307i | −0.265875 | + | 0.265875i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | −72.8219 | + | 72.8219i | −0.0918309 | + | 0.0918309i | ||||
\(794\) | −826.874 | − | 104.889i | −1.04140 | − | 0.132102i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −779.055 | − | 200.878i | −0.978712 | − | 0.252360i | ||||
\(797\) | −172.698 | + | 416.930i | −0.216685 | + | 0.523124i | −0.994423 | − | 0.105464i | \(-0.966367\pi\) |
0.777738 | + | 0.628589i | \(0.216367\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | − | 576.360i | − | 0.721352i | ||||||
\(800\) | −175.403 | − | 287.884i | −0.219253 | − | 0.359855i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −200.273 | − | 733.553i | −0.249718 | − | 0.914655i | ||||
\(803\) | −489.673 | − | 202.829i | −0.609805 | − | 0.252589i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 369.498 | − | 153.051i | 0.459004 | − | 0.190126i | ||||
\(806\) | −12.6340 | + | 99.5976i | −0.0156749 | + | 0.123570i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −107.403 | + | 270.055i | −0.132924 | + | 0.334226i | ||||
\(809\) | −563.586 | − | 563.586i | −0.696645 | − | 0.696645i | 0.267040 | − | 0.963685i | \(-0.413954\pi\) |
−0.963685 | + | 0.267040i | \(0.913954\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −152.099 | + | 63.0013i | −0.187544 | + | 0.0776835i | −0.474479 | − | 0.880267i | \(-0.657364\pi\) |
0.286935 | + | 0.957950i | \(0.407364\pi\) | |||||||
\(812\) | −158.330 | + | 210.427i | −0.194988 | + | 0.259146i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −254.136 | + | 445.018i | −0.312206 | + | 0.546705i | ||||
\(815\) | −438.475 | −0.538006 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 440.271i | 0.538887i | ||||||||
\(818\) | 297.196 | − | 520.419i | 0.363320 | − | 0.636210i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | −390.906 | + | 55.2256i | −0.476715 | + | 0.0673483i | ||||
\(821\) | 211.711 | + | 511.115i | 0.257869 | + | 0.622552i | 0.998797 | − | 0.0490328i | \(-0.0156139\pi\) |
−0.740928 | + | 0.671585i | \(0.765614\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 620.858 | − | 620.858i | 0.754384 | − | 0.754384i | −0.220910 | − | 0.975294i | \(-0.570903\pi\) |
0.975294 | + | 0.220910i | \(0.0709028\pi\) | |||||||
\(824\) | −1055.12 | + | 14.9530i | −1.28048 | + | 0.0181468i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −71.1347 | + | 560.778i | −0.0861194 | + | 0.678908i | ||||
\(827\) | 466.847 | + | 1127.07i | 0.564507 | + | 1.36284i | 0.906129 | + | 0.423002i | \(0.139024\pi\) |
−0.341622 | + | 0.939837i | \(0.610976\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 314.009 | − | 758.085i | 0.378780 | − | 0.914457i | −0.613415 | − | 0.789761i | \(-0.710204\pi\) |
0.992195 | − | 0.124696i | \(-0.0397955\pi\) | |||||||
\(830\) | 12.2772 | + | 44.9683i | 0.0147918 | + | 0.0541787i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 146.049 | − | 382.944i | 0.175540 | − | 0.460269i | ||||
\(833\) | −440.385 | −0.528673 | ||||||||
\(834\) | 0 | 0 | ||||||||
\(835\) | 815.056 | + | 337.607i | 0.976115 | + | 0.404320i | ||||
\(836\) | 63.4653 | + | 107.565i | 0.0759154 | + | 0.128667i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 642.403 | + | 81.4888i | 0.766590 | + | 0.0972420i | ||||
\(839\) | −400.852 | − | 400.852i | −0.477773 | − | 0.477773i | 0.426646 | − | 0.904419i | \(-0.359695\pi\) |
−0.904419 | + | 0.426646i | \(0.859695\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 106.743 | + | 106.743i | 0.126924 | + | 0.126924i | ||||
\(842\) | 104.953 | − | 81.3236i | 0.124647 | − | 0.0965839i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 155.449 | + | 1100.33i | 0.184182 | + | 1.30370i | ||||
\(845\) | 449.734 | + | 186.286i | 0.532229 | + | 0.220457i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 259.764 | 0.306687 | ||||||||
\(848\) | −936.005 | − | 105.278i | −1.10378 | − | 0.124149i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −188.614 | − | 107.711i | −0.221898 | − | 0.126719i | ||||
\(851\) | 987.679 | − | 2384.47i | 1.16061 | − | 2.80196i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −104.229 | − | 251.630i | −0.122191 | − | 0.294995i | 0.850934 | − | 0.525272i | \(-0.176037\pi\) |
−0.973125 | + | 0.230278i | \(0.926037\pi\) | |||||||
\(854\) | −63.7186 | + | 49.3729i | −0.0746119 | + | 0.0578137i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 137.923 | − | 346.796i | 0.161125 | − | 0.405135i | ||||
\(857\) | 324.238 | − | 324.238i | 0.378341 | − | 0.378341i | −0.492163 | − | 0.870503i | \(-0.663793\pi\) |
0.870503 | + | 0.492163i | \(0.163793\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | 97.4053 | + | 235.157i | 0.113394 | + | 0.273757i | 0.970381 | − | 0.241582i | \(-0.0776662\pi\) |
−0.856987 | + | 0.515339i | \(0.827666\pi\) | |||||||
\(860\) | −223.117 | + | 865.301i | −0.259438 | + | 1.00616i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −272.602 | + | 74.4253i | −0.316243 | + | 0.0863402i | ||||
\(863\) | 1430.88i | 1.65803i | 0.559223 | + | 0.829017i | \(0.311100\pi\) | ||||
−0.559223 | + | 0.829017i | \(0.688900\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −445.471 | −0.514995 | ||||||||
\(866\) | 19.5311 | + | 71.5375i | 0.0225532 | + | 0.0826068i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −19.6204 | + | 76.0925i | −0.0226041 | + | 0.0876641i | ||||
\(869\) | −66.9471 | + | 27.7304i | −0.0770392 | + | 0.0319107i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 255.316 | + | 255.316i | 0.293130 | + | 0.293130i | ||||
\(872\) | 1422.02 | − | 612.771i | 1.63076 | − | 0.702719i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −385.258 | − | 497.197i | −0.440798 | − | 0.568875i | ||||
\(875\) | −312.932 | + | 129.621i | −0.357637 | + | 0.148138i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −1336.54 | − | 553.615i | −1.52400 | − | 0.631260i | −0.545609 | − | 0.838040i | \(-0.683702\pi\) |
−0.978387 | + | 0.206780i | \(0.933702\pi\) | |||||||
\(878\) | 545.440 | − | 955.121i | 0.621230 | − | 1.08784i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 70.2225 | + | 243.570i | 0.0797983 | + | 0.276784i | ||||
\(881\) | − | 1351.61i | − | 1.53417i | −0.641545 | − | 0.767086i | \(-0.721706\pi\) | ||
0.641545 | − | 0.767086i | \(-0.278294\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 81.5101 | − | 196.783i | 0.0923104 | − | 0.222857i | −0.870980 | − | 0.491318i | \(-0.836515\pi\) |
0.963290 | + | 0.268461i | \(0.0865152\pi\) | |||||||
\(884\) | −36.9397 | − | 261.472i | −0.0417869 | − | 0.295783i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 474.125 | + | 611.885i | 0.535130 | + | 0.690616i | ||||
\(887\) | −445.286 | + | 445.286i | −0.502014 | + | 0.502014i | −0.912063 | − | 0.410049i | \(-0.865511\pi\) |
0.410049 | + | 0.912063i | \(0.365511\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 111.101 | − | 111.101i | 0.124973 | − | 0.124973i | ||||
\(890\) | −111.432 | + | 878.455i | −0.125205 | + | 0.987029i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −551.011 | − | 933.892i | −0.617725 | − | 1.04696i | ||||
\(893\) | −160.369 | + | 387.165i | −0.179585 | + | 0.433555i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | − | 312.697i | − | 0.349382i | ||||||
\(896\) | 151.126 | − | 282.968i | 0.168667 | − | 0.315812i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −864.870 | + | 236.125i | −0.963107 | + | 0.262946i | ||||
\(899\) | −190.237 | − | 78.7986i | −0.211609 | − | 0.0876514i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −560.681 | + | 232.242i | −0.622287 | + | 0.257760i | ||||
\(902\) | −214.477 | − | 27.2065i | −0.237780 | − | 0.0301624i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 680.759 | + | 661.734i | 0.753052 | + | 0.732006i | ||||
\(905\) | 87.8781 | + | 87.8781i | 0.0971028 | + | 0.0971028i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 100.115 | − | 41.4691i | 0.110381 | − | 0.0457212i | −0.326810 | − | 0.945090i | \(-0.605974\pi\) |
0.437190 | + | 0.899369i | \(0.355974\pi\) | |||||||
\(908\) | 1488.07 | − | 210.229i | 1.63885 | − | 0.231529i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −106.014 | − | 60.5416i | −0.116499 | − | 0.0665292i | ||||
\(911\) | 631.401 | 0.693086 | 0.346543 | − | 0.938034i | \(-0.387355\pi\) | ||||
0.346543 | + | 0.938034i | \(0.387355\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 25.5271i | 0.0279596i | ||||||||
\(914\) | 306.678 | + | 175.134i | 0.335534 | + | 0.191613i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 729.865 | − | 970.017i | 0.796795 | − | 1.05897i | ||||
\(917\) | −18.4330 | − | 44.5013i | −0.0201015 | − | 0.0485292i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 72.8137 | − | 72.8137i | 0.0792315 | − | 0.0792315i | −0.666380 | − | 0.745612i | \(-0.732157\pi\) |
0.745612 | + | 0.666380i | \(0.232157\pi\) | |||||||
\(920\) | −505.214 | − | 1172.42i | −0.549145 | − | 1.27437i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 1545.62 | + | 196.062i | 1.67638 | + | 0.212649i | ||||
\(923\) | −194.351 | − | 469.206i | −0.210565 | − | 0.508349i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −247.984 | + | 598.685i | −0.268090 | + | 0.647228i | ||||
\(926\) | −1231.85 | + | 336.318i | −1.33029 | + | 0.363194i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 678.790 | + | 495.831i | 0.731454 | + | 0.534301i | ||||
\(929\) | 1010.36 | 1.08757 | 0.543786 | − | 0.839224i | \(-0.316990\pi\) | ||||
0.543786 | + | 0.839224i | \(0.316990\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 295.824 | + | 122.534i | 0.317749 | + | 0.131616i | ||||
\(932\) | −1233.84 | − | 318.143i | −1.32386 | − | 0.341355i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 130.680 | − | 1030.19i | 0.139915 | − | 1.10299i | ||||
\(935\) | 115.488 | + | 115.488i | 0.123517 | + | 0.123517i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −545.021 | − | 545.021i | −0.581666 | − | 0.581666i | 0.353695 | − | 0.935361i | \(-0.384925\pi\) |
−0.935361 | + | 0.353695i | \(0.884925\pi\) | |||||||
\(938\) | 173.103 | + | 223.399i | 0.184545 | + | 0.238166i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −511.391 | + | 679.657i | −0.544033 | + | 0.723040i | ||||
\(941\) | 1689.17 | + | 699.676i | 1.79508 | + | 0.743545i | 0.988267 | + | 0.152735i | \(0.0488081\pi\) |
0.806810 | + | 0.590810i | \(0.201192\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1088.82 | 1.15463 | ||||||||
\(944\) | 1793.08 | + | 201.678i | 1.89945 | + | 0.213642i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −242.676 | + | 424.950i | −0.256528 | + | 0.449207i | ||||
\(947\) | 13.6607 | − | 32.9800i | 0.0144253 | − | 0.0348257i | −0.916503 | − | 0.400028i | \(-0.869000\pi\) |
0.930928 | + | 0.365203i | \(0.119000\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −311.815 | − | 752.789i | −0.328572 | − | 0.793244i | ||||
\(950\) | 96.7294 | + | 124.835i | 0.101820 | + | 0.131405i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.92889 | − | 206.670i | −0.00307657 | − | 0.217090i | ||||
\(953\) | 1013.75 | − | 1013.75i | 1.06374 | − | 1.06374i | 0.0659179 | − | 0.997825i | \(-0.479002\pi\) |
0.997825 | − | 0.0659179i | \(-0.0209975\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −57.4369 | − | 138.665i | −0.0601434 | − | 0.145199i | ||||
\(956\) | 405.657 | − | 239.344i | 0.424327 | − | 0.250360i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −98.7088 | − | 361.546i | −0.103036 | − | 0.377397i | ||||
\(959\) | − | 326.240i | − | 0.340187i | ||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 899.556 | 0.936062 | ||||||||
\(962\) | −760.019 | + | 207.499i | −0.790041 | + | 0.215696i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 299.015 | + | 506.791i | 0.310181 | + | 0.525716i | ||||
\(965\) | −846.089 | + | 350.462i | −0.876776 | + | 0.363173i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 1260.66 | + | 1260.66i | 1.30368 | + | 1.30368i | 0.925890 | + | 0.377792i | \(0.123317\pi\) |
0.377792 | + | 0.925890i | \(0.376683\pi\) | |||||||
\(968\) | −11.7499 | − | 829.099i | −0.0121383 | − | 0.856507i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −582.367 | + | 451.252i | −0.600378 | + | 0.465209i | ||||
\(971\) | 679.896 | − | 281.622i | 0.700202 | − | 0.290033i | −0.00404133 | − | 0.999992i | \(-0.501286\pi\) |
0.704243 | + | 0.709959i | \(0.251286\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −493.685 | − | 204.491i | −0.507384 | − | 0.210165i | ||||
\(974\) | 252.516 | + | 144.204i | 0.259257 | + | 0.148053i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 160.468 | + | 201.140i | 0.164414 | + | 0.206086i | ||||
\(977\) | 1197.26i | 1.22545i | 0.790297 | + | 0.612724i | \(0.209926\pi\) | ||||
−0.790297 | + | 0.612724i | \(0.790074\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −185.571 | + | 448.008i | −0.189551 | + | 0.457618i | ||||
\(980\) | 519.311 | + | 390.743i | 0.529910 | + | 0.398717i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 46.4885 | − | 36.0220i | 0.0473406 | − | 0.0366823i | ||||
\(983\) | 500.134 | − | 500.134i | 0.508784 | − | 0.508784i | −0.405369 | − | 0.914153i | \(-0.632857\pi\) |
0.914153 | + | 0.405369i | \(0.132857\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 132.318 | − | 132.318i | 0.134333 | − | 0.134333i | ||||
\(986\) | 537.296 | + | 68.1560i | 0.544925 | + | 0.0691237i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −47.9392 | + | 185.920i | −0.0485215 | + | 0.188178i | ||||
\(989\) | 943.139 | − | 2276.94i | 0.953629 | − | 2.30226i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | − | 417.702i | − | 0.421495i | −0.977540 | − | 0.210748i | \(-0.932410\pi\) | ||
0.977540 | − | 0.210748i | \(-0.0675898\pi\) | |||||||
\(992\) | 243.755 | + | 59.1813i | 0.245721 | + | 0.0596585i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | −104.697 | − | 383.478i | −0.105329 | − | 0.385793i | ||||
\(995\) | 706.748 | + | 292.745i | 0.710300 | + | 0.294216i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1031.85 | − | 427.407i | 1.03496 | − | 0.428694i | 0.200458 | − | 0.979702i | \(-0.435757\pi\) |
0.834500 | + | 0.551009i | \(0.185757\pi\) | |||||||
\(998\) | −222.076 | + | 1750.70i | −0.222522 | + | 1.75421i | ||||
\(999\) | 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 | 288.3.u.b.19.2 | 64 | ||
3.2 | odd | 2 | 96.3.m.a.19.15 | ✓ | 64 | ||
12.11 | even | 2 | 384.3.m.a.367.14 | 64 | |||
32.27 | odd | 8 | inner | 288.3.u.b.91.2 | 64 | ||
96.5 | odd | 8 | 384.3.m.a.271.14 | 64 | |||
96.59 | even | 8 | 96.3.m.a.91.15 | yes | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
96.3.m.a.19.15 | ✓ | 64 | 3.2 | odd | 2 | ||
96.3.m.a.91.15 | yes | 64 | 96.59 | even | 8 | ||
288.3.u.b.19.2 | 64 | 1.1 | even | 1 | trivial | ||
288.3.u.b.91.2 | 64 | 32.27 | odd | 8 | inner | ||
384.3.m.a.271.14 | 64 | 96.5 | odd | 8 | |||
384.3.m.a.367.14 | 64 | 12.11 | even | 2 |