Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [192,3,Mod(5,192)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(192, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([0, 1, 8]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("192.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 192 = 2^{6} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 192.q (of order \(16\), degree \(8\), 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: | \(5.23162107572\) |
Analytic rank: | \(0\) |
Dimension: | \(496\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 5.3 | ||
Character | \(\chi\) | \(=\) | 192.5 |
Dual form | 192.3.q.a.77.3 |
$q$-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 \(\left(\mathbb{Z}/192\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(133\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.98950 | + | 0.204660i | −0.994750 | + | 0.102330i | ||||
\(3\) | −0.243775 | + | 2.99008i | −0.0812583 | + | 0.996693i | ||||
\(4\) | 3.91623 | − | 0.814343i | 0.979057 | − | 0.203586i | ||||
\(5\) | 1.66868 | − | 8.38903i | 0.333736 | − | 1.67781i | −0.341247 | − | 0.939974i | \(-0.610849\pi\) |
0.674984 | − | 0.737833i | \(-0.264151\pi\) | |||||||
\(6\) | −0.126959 | − | 5.99866i | −0.0211599 | − | 0.999776i | ||||
\(7\) | 0.401965 | − | 0.970430i | 0.0574236 | − | 0.138633i | −0.892564 | − | 0.450921i | \(-0.851096\pi\) |
0.949987 | + | 0.312288i | \(0.101096\pi\) | |||||||
\(8\) | −7.62468 | + | 2.42163i | −0.953085 | + | 0.302704i | ||||
\(9\) | −8.88115 | − | 1.45781i | −0.986794 | − | 0.161979i | ||||
\(10\) | −1.60294 | + | 17.0315i | −0.160294 | + | 1.70315i | ||||
\(11\) | −5.32917 | + | 3.56084i | −0.484470 | + | 0.323712i | −0.773705 | − | 0.633546i | \(-0.781599\pi\) |
0.289236 | + | 0.957258i | \(0.406599\pi\) | |||||||
\(12\) | 1.48027 | + | 11.9083i | 0.123356 | + | 0.992362i | ||||
\(13\) | −24.7079 | + | 4.91471i | −1.90061 | + | 0.378054i | −0.998563 | − | 0.0535873i | \(-0.982934\pi\) |
−0.902045 | + | 0.431642i | \(0.857934\pi\) | |||||||
\(14\) | −0.601102 | + | 2.01294i | −0.0429358 | + | 0.143781i | ||||
\(15\) | 24.6771 | + | 7.03453i | 1.64514 | + | 0.468969i | ||||
\(16\) | 14.6737 | − | 6.37831i | 0.917106 | − | 0.398644i | ||||
\(17\) | −9.29664 | − | 9.29664i | −0.546861 | − | 0.546861i | 0.378671 | − | 0.925532i | \(-0.376381\pi\) |
−0.925532 | + | 0.378671i | \(0.876381\pi\) | |||||||
\(18\) | 17.9674 | + | 1.08270i | 0.998189 | + | 0.0601502i | ||||
\(19\) | −5.23469 | − | 26.3166i | −0.275510 | − | 1.38508i | −0.832252 | − | 0.554397i | \(-0.812949\pi\) |
0.556742 | − | 0.830685i | \(-0.312051\pi\) | |||||||
\(20\) | −0.296610 | − | 34.2122i | −0.0148305 | − | 1.71061i | ||||
\(21\) | 2.80367 | + | 1.43847i | 0.133508 | + | 0.0684988i | ||||
\(22\) | 9.87362 | − | 8.17495i | 0.448801 | − | 0.371589i | ||||
\(23\) | 2.53808 | + | 6.12746i | 0.110351 | + | 0.266411i | 0.969402 | − | 0.245479i | \(-0.0789453\pi\) |
−0.859051 | + | 0.511891i | \(0.828945\pi\) | |||||||
\(24\) | −5.38217 | − | 23.3887i | −0.224257 | − | 0.974530i | ||||
\(25\) | −44.4944 | − | 18.4302i | −1.77977 | − | 0.737207i | ||||
\(26\) | 48.1506 | − | 14.8345i | 1.85194 | − | 0.570559i | ||||
\(27\) | 6.52398 | − | 26.2000i | 0.241629 | − | 0.970369i | ||||
\(28\) | 0.783925 | − | 4.12776i | 0.0279973 | − | 0.147420i | ||||
\(29\) | 22.6892 | + | 15.1604i | 0.782387 | + | 0.522774i | 0.881433 | − | 0.472309i | \(-0.156579\pi\) |
−0.0990465 | + | 0.995083i | \(0.531579\pi\) | |||||||
\(30\) | −50.5348 | − | 8.94478i | −1.68449 | − | 0.298159i | ||||
\(31\) | 10.4730i | 0.337837i | 0.985630 | + | 0.168919i | \(0.0540275\pi\) | ||||
−0.985630 | + | 0.168919i | \(0.945973\pi\) | |||||||
\(32\) | −27.8879 | + | 15.6928i | −0.871498 | + | 0.490399i | ||||
\(33\) | −9.34806 | − | 16.8027i | −0.283275 | − | 0.509172i | ||||
\(34\) | 20.3983 | + | 16.5930i | 0.599951 | + | 0.488030i | ||||
\(35\) | −7.47021 | − | 4.99144i | −0.213435 | − | 0.142612i | ||||
\(36\) | −35.9678 | + | 1.52317i | −0.999105 | + | 0.0423103i | ||||
\(37\) | 5.50053 | − | 27.6531i | 0.148663 | − | 0.747380i | −0.832474 | − | 0.554065i | \(-0.813076\pi\) |
0.981137 | − | 0.193315i | \(-0.0619240\pi\) | |||||||
\(38\) | 15.8004 | + | 51.2855i | 0.415799 | + | 1.34962i | ||||
\(39\) | −8.67220 | − | 75.0767i | −0.222364 | − | 1.92504i | ||||
\(40\) | 7.59199 | + | 68.0046i | 0.189800 | + | 1.70011i | ||||
\(41\) | −19.2957 | − | 46.5839i | −0.470627 | − | 1.13619i | −0.963887 | − | 0.266312i | \(-0.914195\pi\) |
0.493260 | − | 0.869882i | \(-0.335805\pi\) | |||||||
\(42\) | −5.87231 | − | 2.28805i | −0.139817 | − | 0.0544773i | ||||
\(43\) | −34.1961 | + | 22.8491i | −0.795259 | + | 0.531375i | −0.885552 | − | 0.464540i | \(-0.846220\pi\) |
0.0902933 | + | 0.995915i | \(0.471220\pi\) | |||||||
\(44\) | −17.9705 | + | 18.2848i | −0.408420 | + | 0.415564i | ||||
\(45\) | −27.0495 | + | 72.0716i | −0.601099 | + | 1.60159i | ||||
\(46\) | −6.30355 | − | 11.6711i | −0.137034 | − | 0.253720i | ||||
\(47\) | 7.03823 | + | 7.03823i | 0.149750 | + | 0.149750i | 0.778006 | − | 0.628257i | \(-0.216231\pi\) |
−0.628257 | + | 0.778006i | \(0.716231\pi\) | |||||||
\(48\) | 15.4946 | + | 45.4304i | 0.322803 | + | 0.946466i | ||||
\(49\) | 33.8681 | + | 33.8681i | 0.691185 | + | 0.691185i | ||||
\(50\) | 92.2935 | + | 27.5606i | 1.84587 | + | 0.551212i | ||||
\(51\) | 30.0640 | − | 25.5314i | 0.589490 | − | 0.500616i | ||||
\(52\) | −92.7596 | + | 39.3678i | −1.78384 | + | 0.757074i | ||||
\(53\) | 9.11506 | − | 6.09049i | 0.171982 | − | 0.114915i | −0.466600 | − | 0.884468i | \(-0.654521\pi\) |
0.638582 | + | 0.769554i | \(0.279521\pi\) | |||||||
\(54\) | −7.61738 | + | 53.4600i | −0.141063 | + | 0.990001i | ||||
\(55\) | 20.9793 | + | 50.6485i | 0.381441 | + | 0.920881i | ||||
\(56\) | −0.714830 | + | 8.37262i | −0.0127648 | + | 0.149511i | ||||
\(57\) | 79.9647 | − | 9.23682i | 1.40289 | − | 0.162049i | ||||
\(58\) | −48.2430 | − | 25.5182i | −0.831775 | − | 0.439968i | ||||
\(59\) | 20.4790 | − | 102.955i | 0.347101 | − | 1.74500i | −0.274431 | − | 0.961607i | \(-0.588489\pi\) |
0.621532 | − | 0.783389i | \(-0.286511\pi\) | |||||||
\(60\) | 102.370 | + | 7.45320i | 1.70616 | + | 0.124220i | ||||
\(61\) | −18.7812 | − | 12.5492i | −0.307888 | − | 0.205724i | 0.392021 | − | 0.919956i | \(-0.371776\pi\) |
−0.699909 | + | 0.714232i | \(0.746776\pi\) | |||||||
\(62\) | −2.14340 | − | 20.8359i | −0.0345709 | − | 0.336064i | ||||
\(63\) | −4.98462 | + | 8.03254i | −0.0791209 | + | 0.127501i | ||||
\(64\) | 52.2714 | − | 36.9283i | 0.816741 | − | 0.577005i | ||||
\(65\) | 215.476i | 3.31502i | ||||||||
\(66\) | 22.0368 | + | 31.5158i | 0.333891 | + | 0.477512i | ||||
\(67\) | −12.8395 | − | 8.57909i | −0.191635 | − | 0.128046i | 0.456052 | − | 0.889953i | \(-0.349263\pi\) |
−0.647686 | + | 0.761907i | \(0.724263\pi\) | |||||||
\(68\) | −43.9784 | − | 28.8371i | −0.646741 | − | 0.424075i | ||||
\(69\) | −18.9403 | + | 6.09533i | −0.274497 | + | 0.0883381i | ||||
\(70\) | 15.8835 | + | 8.40161i | 0.226908 | + | 0.120023i | ||||
\(71\) | 31.8072 | + | 13.1750i | 0.447988 | + | 0.185563i | 0.595260 | − | 0.803533i | \(-0.297049\pi\) |
−0.147271 | + | 0.989096i | \(0.547049\pi\) | |||||||
\(72\) | 71.2462 | − | 10.3915i | 0.989530 | − | 0.144327i | ||||
\(73\) | −21.9253 | − | 52.9323i | −0.300346 | − | 0.725100i | −0.999944 | − | 0.0105634i | \(-0.996638\pi\) |
0.699598 | − | 0.714537i | \(-0.253362\pi\) | |||||||
\(74\) | −5.28384 | + | 56.1415i | −0.0714033 | + | 0.758669i | ||||
\(75\) | 65.9543 | − | 128.549i | 0.879390 | − | 1.71398i | ||||
\(76\) | −41.9309 | − | 98.7988i | −0.551723 | − | 1.29998i | ||||
\(77\) | 1.31340 | + | 6.60291i | 0.0170572 | + | 0.0857521i | ||||
\(78\) | 32.6185 | + | 147.590i | 0.418187 | + | 1.89218i | ||||
\(79\) | 95.0735 | + | 95.0735i | 1.20346 | + | 1.20346i | 0.973106 | + | 0.230356i | \(0.0739891\pi\) |
0.230356 | + | 0.973106i | \(0.426011\pi\) | |||||||
\(80\) | −29.0221 | − | 133.741i | −0.362776 | − | 1.67177i | ||||
\(81\) | 76.7496 | + | 25.8941i | 0.947525 | + | 0.319680i | ||||
\(82\) | 47.9227 | + | 88.7297i | 0.584423 | + | 1.08207i | ||||
\(83\) | −65.4599 | + | 13.0208i | −0.788673 | + | 0.156877i | −0.572964 | − | 0.819581i | \(-0.694206\pi\) |
−0.215710 | + | 0.976458i | \(0.569206\pi\) | |||||||
\(84\) | 12.1512 | + | 3.35024i | 0.144658 | + | 0.0398838i | ||||
\(85\) | −93.5029 | + | 62.4766i | −1.10003 | + | 0.735019i | ||||
\(86\) | 63.3569 | − | 52.4569i | 0.736708 | − | 0.609964i | ||||
\(87\) | −50.8620 | + | 64.1468i | −0.584621 | + | 0.737320i | ||||
\(88\) | 32.0101 | − | 40.0555i | 0.363752 | − | 0.455176i | ||||
\(89\) | −14.3581 | + | 34.6635i | −0.161327 | + | 0.389478i | −0.983786 | − | 0.179347i | \(-0.942602\pi\) |
0.822459 | + | 0.568824i | \(0.192602\pi\) | |||||||
\(90\) | 39.0647 | − | 148.922i | 0.434053 | − | 1.65469i | ||||
\(91\) | −5.16234 | + | 25.9528i | −0.0567290 | + | 0.285196i | ||||
\(92\) | 14.9295 | + | 21.9297i | 0.162278 | + | 0.238366i | ||||
\(93\) | −31.3150 | − | 2.55304i | −0.336720 | − | 0.0274521i | ||||
\(94\) | −15.4430 | − | 12.5621i | −0.164287 | − | 0.133640i | ||||
\(95\) | −229.505 | −2.41585 | ||||||||
\(96\) | −40.1242 | − | 87.2126i | −0.417961 | − | 0.908465i | ||||
\(97\) | 58.3847i | 0.601904i | 0.953639 | + | 0.300952i | \(0.0973045\pi\) | ||||
−0.953639 | + | 0.300952i | \(0.902696\pi\) | |||||||
\(98\) | −74.3120 | − | 60.4491i | −0.758286 | − | 0.616828i | ||||
\(99\) | 52.5202 | − | 23.8554i | 0.530507 | − | 0.240963i | ||||
\(100\) | −189.259 | − | 35.9431i | −1.89259 | − | 0.359431i | ||||
\(101\) | −150.503 | − | 29.9369i | −1.49013 | − | 0.296405i | −0.618193 | − | 0.786026i | \(-0.712135\pi\) |
−0.871935 | + | 0.489621i | \(0.837135\pi\) | |||||||
\(102\) | −54.5870 | + | 56.9476i | −0.535167 | + | 0.558310i | ||||
\(103\) | 11.4652 | + | 4.74904i | 0.111313 | + | 0.0461072i | 0.437645 | − | 0.899148i | \(-0.355813\pi\) |
−0.326332 | + | 0.945255i | \(0.605813\pi\) | |||||||
\(104\) | 176.488 | − | 97.3065i | 1.69700 | − | 0.935640i | ||||
\(105\) | 16.7458 | − | 21.1197i | 0.159484 | − | 0.201140i | ||||
\(106\) | −16.8879 | + | 13.9825i | −0.159320 | + | 0.131911i | ||||
\(107\) | 60.4195 | + | 90.4242i | 0.564669 | + | 0.845086i | 0.998434 | − | 0.0559394i | \(-0.0178154\pi\) |
−0.433765 | + | 0.901026i | \(0.642815\pi\) | |||||||
\(108\) | 4.21364 | − | 107.918i | 0.0390152 | − | 0.999239i | ||||
\(109\) | −29.6281 | − | 148.950i | −0.271817 | − | 1.36652i | −0.839540 | − | 0.543297i | \(-0.817176\pi\) |
0.567723 | − | 0.823220i | \(-0.307824\pi\) | |||||||
\(110\) | −52.1040 | − | 96.4715i | −0.473673 | − | 0.877014i | ||||
\(111\) | 81.3439 | + | 23.1882i | 0.732828 | + | 0.208902i | ||||
\(112\) | −0.291387 | − | 16.8036i | −0.00260167 | − | 0.150033i | ||||
\(113\) | −13.8903 | + | 13.8903i | −0.122923 | + | 0.122923i | −0.765892 | − | 0.642969i | \(-0.777702\pi\) |
0.642969 | + | 0.765892i | \(0.277702\pi\) | |||||||
\(114\) | −157.199 | + | 34.7422i | −1.37894 | + | 0.304756i | ||||
\(115\) | 55.6387 | − | 11.0672i | 0.483815 | − | 0.0962367i | ||||
\(116\) | 101.202 | + | 40.8950i | 0.872431 | + | 0.352543i | ||||
\(117\) | 226.599 | − | 7.62873i | 1.93675 | − | 0.0652028i | ||||
\(118\) | −19.6722 | + | 209.020i | −0.166714 | + | 1.77135i | ||||
\(119\) | −12.7587 | + | 5.28481i | −0.107216 | + | 0.0444102i | ||||
\(120\) | −205.190 | + | 6.12282i | −1.70992 | + | 0.0510235i | ||||
\(121\) | −30.5842 | + | 73.8368i | −0.252762 | + | 0.610222i | ||||
\(122\) | 39.9335 | + | 21.1229i | 0.327324 | + | 0.173138i | ||||
\(123\) | 143.993 | − | 46.3397i | 1.17068 | − | 0.376745i | ||||
\(124\) | 8.52857 | + | 41.0145i | 0.0687788 | + | 0.330762i | ||||
\(125\) | −110.058 | + | 164.714i | −0.880464 | + | 1.31771i | ||||
\(126\) | 8.27296 | − | 17.0009i | 0.0656584 | − | 0.134928i | ||||
\(127\) | 165.000 | 1.29921 | 0.649607 | − | 0.760270i | \(-0.274933\pi\) | ||||
0.649607 | + | 0.760270i | \(0.274933\pi\) | |||||||
\(128\) | −96.4362 | + | 84.1668i | −0.753408 | + | 0.657553i | ||||
\(129\) | −59.9845 | − | 107.819i | −0.464996 | − | 0.835807i | ||||
\(130\) | −44.0994 | − | 428.691i | −0.339227 | − | 3.29762i | ||||
\(131\) | 69.3407 | − | 103.776i | 0.529318 | − | 0.792181i | −0.466405 | − | 0.884571i | \(-0.654451\pi\) |
0.995723 | + | 0.0923909i | \(0.0294510\pi\) | |||||||
\(132\) | −50.2923 | − | 58.1906i | −0.381002 | − | 0.440838i | ||||
\(133\) | −27.6425 | − | 5.49844i | −0.207839 | − | 0.0413417i | ||||
\(134\) | 27.3000 | + | 14.4404i | 0.203732 | + | 0.107764i | ||||
\(135\) | −208.906 | − | 98.4493i | −1.54745 | − | 0.729254i | ||||
\(136\) | 93.3969 | + | 48.3708i | 0.686742 | + | 0.355668i | ||||
\(137\) | 9.47592 | − | 3.92505i | 0.0691673 | − | 0.0286500i | −0.347832 | − | 0.937557i | \(-0.613082\pi\) |
0.416999 | + | 0.908907i | \(0.363082\pi\) | |||||||
\(138\) | 36.4343 | − | 16.0030i | 0.264017 | − | 0.115964i | ||||
\(139\) | −53.0861 | − | 79.4490i | −0.381915 | − | 0.571576i | 0.589854 | − | 0.807510i | \(-0.299185\pi\) |
−0.971769 | + | 0.235934i | \(0.924185\pi\) | |||||||
\(140\) | −33.3198 | − | 13.4643i | −0.237999 | − | 0.0961735i | ||||
\(141\) | −22.7606 | + | 19.3291i | −0.161423 | + | 0.137086i | ||||
\(142\) | −65.9768 | − | 19.7019i | −0.464625 | − | 0.138746i | ||||
\(143\) | 114.172 | − | 114.172i | 0.798406 | − | 0.798406i | ||||
\(144\) | −139.618 | + | 35.2552i | −0.969567 | + | 0.244828i | ||||
\(145\) | 165.043 | − | 165.043i | 1.13822 | − | 1.13822i | ||||
\(146\) | 54.4535 | + | 100.822i | 0.372969 | + | 0.690559i | ||||
\(147\) | −109.524 | + | 93.0120i | −0.745064 | + | 0.632735i | ||||
\(148\) | −0.977724 | − | 112.775i | −0.00660625 | − | 0.761993i | ||||
\(149\) | −74.9183 | − | 112.123i | −0.502807 | − | 0.752504i | 0.490065 | − | 0.871686i | \(-0.336973\pi\) |
−0.992872 | + | 0.119182i | \(0.961973\pi\) | |||||||
\(150\) | −104.907 | + | 269.246i | −0.699382 | + | 1.79497i | ||||
\(151\) | 160.199 | − | 66.3566i | 1.06092 | − | 0.439448i | 0.217143 | − | 0.976140i | \(-0.430326\pi\) |
0.843778 | + | 0.536692i | \(0.180326\pi\) | |||||||
\(152\) | 103.642 | + | 187.979i | 0.681854 | + | 1.23670i | ||||
\(153\) | 69.0120 | + | 96.1176i | 0.451059 | + | 0.628219i | ||||
\(154\) | −3.96437 | − | 12.8677i | −0.0257426 | − | 0.0835565i | ||||
\(155\) | 87.8579 | + | 17.4760i | 0.566825 | + | 0.112749i | ||||
\(156\) | −95.1005 | − | 286.955i | −0.609618 | − | 1.83946i | ||||
\(157\) | 8.90815 | − | 13.3320i | 0.0567398 | − | 0.0849171i | −0.802015 | − | 0.597304i | \(-0.796239\pi\) |
0.858755 | + | 0.512387i | \(0.171239\pi\) | |||||||
\(158\) | −208.607 | − | 169.691i | −1.32030 | − | 1.07399i | ||||
\(159\) | 15.9890 | + | 28.7395i | 0.100560 | + | 0.180751i | ||||
\(160\) | 85.1110 | + | 260.139i | 0.531944 | + | 1.62587i | ||||
\(161\) | 6.96649 | 0.0432701 | ||||||||
\(162\) | −157.993 | − | 35.8088i | −0.975264 | − | 0.221042i | ||||
\(163\) | −84.2104 | + | 126.030i | −0.516628 | + | 0.773189i | −0.994444 | − | 0.105272i | \(-0.966429\pi\) |
0.477815 | + | 0.878460i | \(0.341429\pi\) | |||||||
\(164\) | −113.502 | − | 166.720i | −0.692083 | − | 1.01659i | ||||
\(165\) | −156.557 | + | 50.3829i | −0.948831 | + | 0.305351i | ||||
\(166\) | 127.568 | − | 39.3019i | 0.768480 | − | 0.236758i | ||||
\(167\) | −116.802 | + | 281.986i | −0.699415 | + | 1.68854i | 0.0254765 | + | 0.999675i | \(0.491890\pi\) |
−0.724892 | + | 0.688863i | \(0.758110\pi\) | |||||||
\(168\) | −24.8606 | − | 4.17844i | −0.147979 | − | 0.0248716i | ||||
\(169\) | 430.191 | − | 178.191i | 2.54551 | − | 1.05438i | ||||
\(170\) | 173.238 | − | 143.434i | 1.01905 | − | 0.843727i | ||||
\(171\) | 8.12542 | + | 241.352i | 0.0475171 | + | 1.41142i | ||||
\(172\) | −115.313 | + | 117.330i | −0.670423 | + | 0.682150i | ||||
\(173\) | 137.000 | − | 27.2509i | 0.791905 | − | 0.157520i | 0.217467 | − | 0.976068i | \(-0.430221\pi\) |
0.574438 | + | 0.818548i | \(0.305221\pi\) | |||||||
\(174\) | 88.0617 | − | 138.030i | 0.506102 | − | 0.793273i | ||||
\(175\) | −35.7704 | + | 35.7704i | −0.204402 | + | 0.204402i | ||||
\(176\) | −55.4864 | + | 86.2417i | −0.315264 | + | 0.490009i | ||||
\(177\) | 302.851 | + | 86.3316i | 1.71102 | + | 0.487749i | ||||
\(178\) | 21.4712 | − | 71.9016i | 0.120625 | − | 0.403942i | ||||
\(179\) | −15.5497 | − | 78.1736i | −0.0868698 | − | 0.436724i | −0.999603 | − | 0.0281682i | \(-0.991033\pi\) |
0.912733 | − | 0.408556i | \(-0.133967\pi\) | |||||||
\(180\) | −47.2408 | + | 304.276i | −0.262449 | + | 1.69042i | ||||
\(181\) | 27.7305 | + | 41.5017i | 0.153207 | + | 0.229291i | 0.900132 | − | 0.435618i | \(-0.143470\pi\) |
−0.746924 | + | 0.664909i | \(0.768470\pi\) | |||||||
\(182\) | 4.95897 | − | 52.6897i | 0.0272471 | − | 0.289504i | ||||
\(183\) | 42.1014 | − | 53.0980i | 0.230063 | − | 0.290153i | ||||
\(184\) | −34.1905 | − | 40.5736i | −0.185818 | − | 0.220509i | ||||
\(185\) | −222.804 | − | 92.2883i | −1.20434 | − | 0.498856i | ||||
\(186\) | 62.8236 | − | 1.32964i | 0.337761 | − | 0.00714860i | ||||
\(187\) | 82.6471 | + | 16.4395i | 0.441963 | + | 0.0879120i | ||||
\(188\) | 33.2949 | + | 21.8318i | 0.177100 | + | 0.116127i | ||||
\(189\) | −22.8028 | − | 16.8625i | −0.120650 | − | 0.0892197i | ||||
\(190\) | 456.601 | − | 46.9706i | 2.40317 | − | 0.247214i | ||||
\(191\) | 19.2632i | 0.100855i | 0.998728 | + | 0.0504273i | \(0.0160583\pi\) | ||||
−0.998728 | + | 0.0504273i | \(0.983942\pi\) | |||||||
\(192\) | 97.6762 | + | 165.298i | 0.508730 | + | 0.860926i | ||||
\(193\) | −206.400 | −1.06943 | −0.534716 | − | 0.845032i | \(-0.679582\pi\) | ||||
−0.534716 | + | 0.845032i | \(0.679582\pi\) | |||||||
\(194\) | −11.9490 | − | 116.156i | −0.0615929 | − | 0.598745i | ||||
\(195\) | −644.292 | − | 52.5278i | −3.30406 | − | 0.269373i | ||||
\(196\) | 160.215 | + | 105.055i | 0.817425 | + | 0.535994i | ||||
\(197\) | 8.35193 | − | 41.9880i | 0.0423956 | − | 0.213137i | −0.953781 | − | 0.300504i | \(-0.902845\pi\) |
0.996176 | + | 0.0873668i | \(0.0278452\pi\) | |||||||
\(198\) | −99.6067 | + | 58.2091i | −0.503064 | + | 0.293985i | ||||
\(199\) | −104.478 | + | 252.232i | −0.525015 | + | 1.26750i | 0.409739 | + | 0.912203i | \(0.365620\pi\) |
−0.934754 | + | 0.355296i | \(0.884380\pi\) | |||||||
\(200\) | 383.886 | + | 32.7751i | 1.91943 | + | 0.163875i | ||||
\(201\) | 28.7821 | − | 36.2998i | 0.143195 | − | 0.180596i | ||||
\(202\) | 305.553 | + | 28.7575i | 1.51264 | + | 0.142364i | ||||
\(203\) | 23.8324 | − | 15.9243i | 0.117401 | − | 0.0784449i | ||||
\(204\) | 96.9461 | − | 124.469i | 0.475226 | − | 0.610143i | ||||
\(205\) | −422.992 | + | 84.1384i | −2.06338 | + | 0.410431i | ||||
\(206\) | −23.7820 | − | 7.10175i | −0.115446 | − | 0.0344745i | ||||
\(207\) | −13.6083 | − | 58.1189i | −0.0657408 | − | 0.280768i | ||||
\(208\) | −331.209 | + | 229.712i | −1.59235 | + | 1.10438i | ||||
\(209\) | 121.605 | + | 121.605i | 0.581844 | + | 0.581844i | ||||
\(210\) | −28.9935 | + | 45.4449i | −0.138064 | + | 0.216405i | ||||
\(211\) | −36.1592 | − | 181.785i | −0.171371 | − | 0.861538i | −0.966808 | − | 0.255503i | \(-0.917759\pi\) |
0.795438 | − | 0.606035i | \(-0.207241\pi\) | |||||||
\(212\) | 30.7369 | − | 31.2745i | 0.144985 | − | 0.147521i | ||||
\(213\) | −47.1480 | + | 91.8943i | −0.221352 | + | 0.431428i | ||||
\(214\) | −138.711 | − | 167.534i | −0.648182 | − | 0.782868i | ||||
\(215\) | 134.619 | + | 325.000i | 0.626137 | + | 1.51163i | ||||
\(216\) | 13.7034 | + | 215.565i | 0.0634418 | + | 0.997986i | ||||
\(217\) | 10.1633 | + | 4.20976i | 0.0468353 | + | 0.0193998i | ||||
\(218\) | 89.4293 | + | 290.273i | 0.410226 | + | 1.33153i | ||||
\(219\) | 163.617 | − | 52.6548i | 0.747108 | − | 0.240433i | ||||
\(220\) | 123.405 | + | 181.267i | 0.560931 | + | 0.823939i | ||||
\(221\) | 275.391 | + | 184.010i | 1.24611 | + | 0.832625i | ||||
\(222\) | −166.580 | − | 29.4850i | −0.750358 | − | 0.132815i | ||||
\(223\) | − | 309.757i | − | 1.38905i | −0.719471 | − | 0.694523i | \(-0.755616\pi\) | ||
0.719471 | − | 0.694523i | \(-0.244384\pi\) | |||||||
\(224\) | 4.01875 | + | 33.3712i | 0.0179408 | + | 0.148979i | ||||
\(225\) | 368.293 | + | 228.545i | 1.63686 | + | 1.01576i | ||||
\(226\) | 24.7919 | − | 30.4775i | 0.109699 | − | 0.134856i | ||||
\(227\) | −181.162 | − | 121.049i | −0.798072 | − | 0.533255i | 0.0883735 | − | 0.996087i | \(-0.471833\pi\) |
−0.886446 | + | 0.462833i | \(0.846833\pi\) | |||||||
\(228\) | 305.638 | − | 101.292i | 1.34052 | − | 0.444264i | ||||
\(229\) | −9.50576 | + | 47.7887i | −0.0415099 | + | 0.208684i | −0.995974 | − | 0.0896410i | \(-0.971428\pi\) |
0.954464 | + | 0.298325i | \(0.0964280\pi\) | |||||||
\(230\) | −108.428 | + | 33.4053i | −0.471427 | + | 0.145240i | ||||
\(231\) | −20.0634 | + | 2.31755i | −0.0868546 | + | 0.0100327i | ||||
\(232\) | −209.711 | − | 60.6486i | −0.903927 | − | 0.261416i | ||||
\(233\) | −108.816 | − | 262.705i | −0.467022 | − | 1.12749i | −0.965457 | − | 0.260563i | \(-0.916092\pi\) |
0.498435 | − | 0.866927i | \(-0.333908\pi\) | |||||||
\(234\) | −449.258 | + | 61.5532i | −1.91991 | + | 0.263048i | ||||
\(235\) | 70.7885 | − | 47.2994i | 0.301228 | − | 0.201274i | ||||
\(236\) | −3.64015 | − | 419.871i | −0.0154244 | − | 1.77912i | ||||
\(237\) | −307.454 | + | 261.101i | −1.29727 | + | 1.10169i | ||||
\(238\) | 24.3018 | − | 13.1253i | 0.102108 | − | 0.0551484i | ||||
\(239\) | −124.582 | − | 124.582i | −0.521265 | − | 0.521265i | 0.396689 | − | 0.917953i | \(-0.370159\pi\) |
−0.917953 | + | 0.396689i | \(0.870159\pi\) | |||||||
\(240\) | 406.972 | − | 54.1755i | 1.69572 | − | 0.225731i | ||||
\(241\) | −232.913 | − | 232.913i | −0.966444 | − | 0.966444i | 0.0330107 | − | 0.999455i | \(-0.489490\pi\) |
−0.999455 | + | 0.0330107i | \(0.989490\pi\) | |||||||
\(242\) | 45.7359 | − | 153.158i | 0.188991 | − | 0.632884i | ||||
\(243\) | −96.1351 | + | 223.175i | −0.395618 | + | 0.918415i | ||||
\(244\) | −83.7707 | − | 33.8511i | −0.343323 | − | 0.138734i | ||||
\(245\) | 340.635 | − | 227.605i | 1.39035 | − | 0.929001i | ||||
\(246\) | −276.991 | + | 121.663i | −1.12598 | + | 0.494563i | ||||
\(247\) | 258.676 | + | 624.500i | 1.04727 | + | 2.52834i | ||||
\(248\) | −25.3616 | − | 79.8529i | −0.102265 | − | 0.321987i | ||||
\(249\) | −22.9757 | − | 198.904i | −0.0922718 | − | 0.798813i | ||||
\(250\) | 185.250 | − | 350.222i | 0.741001 | − | 1.40089i | ||||
\(251\) | −11.3476 | + | 57.0481i | −0.0452095 | + | 0.227283i | −0.996784 | − | 0.0801346i | \(-0.974465\pi\) |
0.951575 | + | 0.307418i | \(0.0994650\pi\) | |||||||
\(252\) | −12.9797 | + | 35.5164i | −0.0515066 | + | 0.140938i | ||||
\(253\) | −35.3447 | − | 23.6166i | −0.139702 | − | 0.0933462i | ||||
\(254\) | −328.268 | + | 33.7690i | −1.29239 | + | 0.132949i | ||||
\(255\) | −164.016 | − | 294.811i | −0.643202 | − | 1.15612i | ||||
\(256\) | 174.634 | − | 187.187i | 0.682166 | − | 0.731198i | ||||
\(257\) | − | 324.487i | − | 1.26260i | −0.775541 | − | 0.631298i | \(-0.782523\pi\) | ||
0.775541 | − | 0.631298i | \(-0.217477\pi\) | |||||||
\(258\) | 141.406 | + | 202.230i | 0.548083 | + | 0.783837i | ||||
\(259\) | −24.6243 | − | 16.4534i | −0.0950746 | − | 0.0635268i | ||||
\(260\) | 175.472 | + | 843.855i | 0.674892 | + | 3.24560i | ||||
\(261\) | −179.405 | − | 167.719i | −0.687376 | − | 0.642601i | ||||
\(262\) | −116.715 | + | 220.653i | −0.445476 | + | 0.842187i | ||||
\(263\) | 322.804 | + | 133.710i | 1.22739 | + | 0.508403i | 0.899753 | − | 0.436400i | \(-0.143747\pi\) |
0.327640 | + | 0.944803i | \(0.393747\pi\) | |||||||
\(264\) | 111.966 | + | 105.477i | 0.424113 | + | 0.399536i | ||||
\(265\) | −35.8832 | − | 86.6296i | −0.135408 | − | 0.326904i | ||||
\(266\) | 56.1202 | + | 5.28183i | 0.210978 | + | 0.0198565i | ||||
\(267\) | −100.146 | − | 51.3819i | −0.375080 | − | 0.192442i | ||||
\(268\) | −57.2688 | − | 23.1419i | −0.213690 | − | 0.0863504i | ||||
\(269\) | −32.5559 | − | 163.670i | −0.121026 | − | 0.608438i | −0.992924 | − | 0.118751i | \(-0.962111\pi\) |
0.871898 | − | 0.489687i | \(-0.162889\pi\) | |||||||
\(270\) | 435.767 | + | 153.110i | 1.61395 | + | 0.567075i | ||||
\(271\) | −60.2953 | − | 60.2953i | −0.222492 | − | 0.222492i | 0.587055 | − | 0.809547i | \(-0.300287\pi\) |
−0.809547 | + | 0.587055i | \(0.800287\pi\) | |||||||
\(272\) | −195.713 | − | 77.1192i | −0.719532 | − | 0.283526i | ||||
\(273\) | −76.3426 | − | 21.7625i | −0.279643 | − | 0.0797159i | ||||
\(274\) | −18.0490 | + | 9.74824i | −0.0658724 | + | 0.0355775i | ||||
\(275\) | 302.745 | − | 60.2197i | 1.10089 | − | 0.218981i | ||||
\(276\) | −69.2109 | + | 39.2946i | −0.250764 | + | 0.142372i | ||||
\(277\) | 28.8528 | − | 19.2788i | 0.104162 | − | 0.0695987i | −0.502398 | − | 0.864636i | \(-0.667549\pi\) |
0.606560 | + | 0.795038i | \(0.292549\pi\) | |||||||
\(278\) | 121.875 | + | 147.199i | 0.438399 | + | 0.529494i | ||||
\(279\) | 15.2676 | − | 93.0118i | 0.0547226 | − | 0.333376i | ||||
\(280\) | 69.0454 | + | 19.9680i | 0.246591 | + | 0.0713142i | ||||
\(281\) | −3.78136 | + | 9.12900i | −0.0134568 | + | 0.0324875i | −0.930465 | − | 0.366381i | \(-0.880597\pi\) |
0.917008 | + | 0.398868i | \(0.130597\pi\) | |||||||
\(282\) | 41.3264 | − | 43.1135i | 0.146547 | − | 0.152885i | ||||
\(283\) | −59.7280 | + | 300.273i | −0.211053 | + | 1.06104i | 0.719392 | + | 0.694604i | \(0.244420\pi\) |
−0.930445 | + | 0.366431i | \(0.880580\pi\) | |||||||
\(284\) | 135.293 | + | 25.6942i | 0.476384 | + | 0.0904726i | ||||
\(285\) | 55.9477 | − | 686.240i | 0.196308 | − | 2.40786i | ||||
\(286\) | −203.779 | + | 250.512i | −0.712514 | + | 0.875916i | ||||
\(287\) | −52.9626 | −0.184539 | ||||||||
\(288\) | 270.554 | − | 98.7144i | 0.939424 | − | 0.342758i | ||||
\(289\) | − | 116.145i | − | 0.401886i | ||||||
\(290\) | −294.575 | + | 362.130i | −1.01577 | + | 1.24872i | ||||
\(291\) | −174.575 | − | 14.2327i | −0.599914 | − | 0.0489098i | ||||
\(292\) | −128.969 | − | 189.440i | −0.441676 | − | 0.648768i | ||||
\(293\) | 384.927 | + | 76.5668i | 1.31375 | + | 0.261320i | 0.801746 | − | 0.597665i | \(-0.203905\pi\) |
0.512000 | + | 0.858986i | \(0.328905\pi\) | |||||||
\(294\) | 198.863 | − | 207.463i | 0.676405 | − | 0.705656i | ||||
\(295\) | −829.518 | − | 343.597i | −2.81192 | − | 1.16474i | ||||
\(296\) | 25.0257 | + | 224.166i | 0.0845464 | + | 0.757317i | ||||
\(297\) | 58.5264 | + | 162.855i | 0.197058 | + | 0.548333i | ||||
\(298\) | 171.997 | + | 207.736i | 0.577171 | + | 0.697101i | ||||
\(299\) | −92.8252 | − | 138.923i | −0.310452 | − | 0.464625i | ||||
\(300\) | 153.609 | − | 557.136i | 0.512030 | − | 1.85712i | ||||
\(301\) | 8.42781 | + | 42.3695i | 0.0279994 | + | 0.140762i | ||||
\(302\) | −305.136 | + | 164.803i | −1.01038 | + | 0.545705i | ||||
\(303\) | 126.203 | − | 442.718i | 0.416510 | − | 1.46112i | ||||
\(304\) | −244.667 | − | 352.773i | −0.804827 | − | 1.16044i | ||||
\(305\) | −136.615 | + | 136.615i | −0.447919 | + | 0.447919i | ||||
\(306\) | −156.971 | − | 177.102i | −0.512977 | − | 0.578765i | ||||
\(307\) | 336.171 | − | 66.8686i | 1.09502 | − | 0.217813i | 0.385647 | − | 0.922646i | \(-0.373978\pi\) |
0.709373 | + | 0.704833i | \(0.248978\pi\) | |||||||
\(308\) | 10.5206 | + | 24.7890i | 0.0341578 | + | 0.0804836i | ||||
\(309\) | −16.9949 | + | 33.1242i | −0.0549998 | + | 0.107198i | ||||
\(310\) | −178.370 | − | 16.7876i | −0.575387 | − | 0.0541534i | ||||
\(311\) | −323.183 | + | 133.867i | −1.03917 | + | 0.430440i | −0.836015 | − | 0.548706i | \(-0.815121\pi\) |
−0.203158 | + | 0.979146i | \(0.565121\pi\) | |||||||
\(312\) | 247.931 | + | 551.435i | 0.794650 | + | 1.76742i | ||||
\(313\) | −60.0757 | + | 145.036i | −0.191935 | + | 0.463373i | −0.990325 | − | 0.138768i | \(-0.955686\pi\) |
0.798390 | + | 0.602141i | \(0.205686\pi\) | |||||||
\(314\) | −14.9942 | + | 28.3471i | −0.0477524 | + | 0.0902775i | ||||
\(315\) | 59.0675 | + | 55.2199i | 0.187516 | + | 0.175301i | ||||
\(316\) | 449.752 | + | 294.907i | 1.42327 | + | 0.933251i | ||||
\(317\) | 229.752 | − | 343.848i | 0.724768 | − | 1.08469i | −0.267856 | − | 0.963459i | \(-0.586315\pi\) |
0.992624 | − | 0.121234i | \(-0.0386850\pi\) | |||||||
\(318\) | −37.6920 | − | 53.9049i | −0.118528 | − | 0.169512i | ||||
\(319\) | −174.898 | −0.548271 | ||||||||
\(320\) | −222.569 | − | 500.128i | −0.695527 | − | 1.56290i | ||||
\(321\) | −285.104 | + | 158.616i | −0.888176 | + | 0.494131i | ||||
\(322\) | −13.8598 | + | 1.42576i | −0.0430430 | + | 0.00442783i | ||||
\(323\) | −195.991 | + | 293.321i | −0.606782 | + | 0.908113i | ||||
\(324\) | 321.656 | + | 38.9068i | 0.992764 | + | 0.120083i | ||||
\(325\) | 1189.94 | + | 236.694i | 3.66136 | + | 0.728289i | ||||
\(326\) | 141.743 | − | 267.971i | 0.434796 | − | 0.821997i | ||||
\(327\) | 452.596 | − | 52.2799i | 1.38409 | − | 0.159877i | ||||
\(328\) | 259.933 | + | 308.460i | 0.792477 | + | 0.940428i | ||||
\(329\) | 9.65924 | − | 4.00099i | 0.0293594 | − | 0.0121611i | ||||
\(330\) | 301.159 | − | 132.278i | 0.912604 | − | 0.400842i | ||||
\(331\) | 127.647 | + | 191.038i | 0.385642 | + | 0.577153i | 0.972606 | − | 0.232459i | \(-0.0746772\pi\) |
−0.586965 | + | 0.809613i | \(0.699677\pi\) | |||||||
\(332\) | −245.753 | + | 104.299i | −0.740218 | + | 0.314154i | ||||
\(333\) | −89.1641 | + | 237.572i | −0.267760 | + | 0.713430i | ||||
\(334\) | 174.667 | − | 584.916i | 0.522956 | − | 1.75125i | ||||
\(335\) | −93.3954 | + | 93.3954i | −0.278792 | + | 0.278792i | ||||
\(336\) | 50.3152 | + | 3.22504i | 0.149748 | + | 0.00959833i | ||||
\(337\) | −58.7426 | + | 58.7426i | −0.174310 | + | 0.174310i | −0.788870 | − | 0.614560i | \(-0.789334\pi\) |
0.614560 | + | 0.788870i | \(0.289334\pi\) | |||||||
\(338\) | −819.396 | + | 442.554i | −2.42425 | + | 1.30933i | ||||
\(339\) | −38.1469 | − | 44.9191i | −0.112528 | − | 0.132505i | ||||
\(340\) | −315.301 | + | 320.816i | −0.927357 | + | 0.943577i | ||||
\(341\) | −37.2925 | − | 55.8121i | −0.109362 | − | 0.163672i | ||||
\(342\) | −65.5608 | − | 478.508i | −0.191698 | − | 1.39915i | ||||
\(343\) | 94.0314 | − | 38.9491i | 0.274144 | − | 0.113554i | ||||
\(344\) | 205.402 | − | 257.028i | 0.597099 | − | 0.747173i | ||||
\(345\) | 19.5286 | + | 169.062i | 0.0566045 | + | 0.490035i | ||||
\(346\) | −266.984 | + | 82.2541i | −0.771629 | + | 0.237729i | ||||
\(347\) | −482.008 | − | 95.8774i | −1.38907 | − | 0.276304i | −0.556789 | − | 0.830654i | \(-0.687967\pi\) |
−0.832283 | + | 0.554350i | \(0.812967\pi\) | |||||||
\(348\) | −146.950 | + | 292.633i | −0.422269 | + | 0.840899i | ||||
\(349\) | 11.7174 | − | 17.5364i | 0.0335743 | − | 0.0502475i | −0.814303 | − | 0.580440i | \(-0.802880\pi\) |
0.847877 | + | 0.530193i | \(0.177880\pi\) | |||||||
\(350\) | 63.8444 | − | 78.4859i | 0.182413 | − | 0.224246i | ||||
\(351\) | −32.4287 | + | 679.410i | −0.0923896 | + | 1.93564i | ||||
\(352\) | 92.7401 | − | 182.934i | 0.263466 | − | 0.519698i | ||||
\(353\) | 275.333 | 0.779980 | 0.389990 | − | 0.920819i | \(-0.372479\pi\) | ||||
0.389990 | + | 0.920819i | \(0.372479\pi\) | |||||||
\(354\) | −620.190 | − | 109.775i | −1.75195 | − | 0.310100i | ||||
\(355\) | 163.601 | − | 244.847i | 0.460849 | − | 0.689709i | ||||
\(356\) | −28.0016 | + | 147.443i | −0.0786562 | + | 0.414165i | ||||
\(357\) | −12.6918 | − | 39.4377i | −0.0355511 | − | 0.110470i | ||||
\(358\) | 46.9351 | + | 152.344i | 0.131104 | + | 0.425542i | ||||
\(359\) | −52.8704 | + | 127.641i | −0.147271 | + | 0.355545i | −0.980250 | − | 0.197760i | \(-0.936633\pi\) |
0.832979 | + | 0.553304i | \(0.186633\pi\) | |||||||
\(360\) | 31.7124 | − | 615.026i | 0.0880901 | − | 1.70841i | ||||
\(361\) | −331.639 | + | 137.369i | −0.918667 | + | 0.380524i | ||||
\(362\) | −63.6637 | − | 76.8923i | −0.175867 | − | 0.212410i | ||||
\(363\) | −213.322 | − | 109.449i | −0.587665 | − | 0.301512i | ||||
\(364\) | 0.917610 | + | 105.841i | 0.00252091 | + | 0.290772i | ||||
\(365\) | −480.637 | + | 95.6047i | −1.31681 | + | 0.261931i | ||||
\(366\) | −72.8938 | + | 114.255i | −0.199163 | + | 0.312172i | ||||
\(367\) | −1.74477 | + | 1.74477i | −0.00475414 | + | 0.00475414i | −0.709480 | − | 0.704726i | \(-0.751070\pi\) |
0.704726 | + | 0.709480i | \(0.251070\pi\) | |||||||
\(368\) | 76.3258 | + | 73.7238i | 0.207407 | + | 0.200336i | ||||
\(369\) | 103.457 | + | 441.848i | 0.280372 | + | 1.19742i | ||||
\(370\) | 462.156 | + | 138.009i | 1.24907 | + | 0.372996i | ||||
\(371\) | −2.24645 | − | 11.2937i | −0.00605513 | − | 0.0304412i | ||||
\(372\) | −124.716 | + | 15.5028i | −0.335257 | + | 0.0416742i | ||||
\(373\) | −361.813 | − | 541.491i | −0.970008 | − | 1.45172i | −0.890552 | − | 0.454881i | \(-0.849682\pi\) |
−0.0794556 | − | 0.996838i | \(-0.525318\pi\) | |||||||
\(374\) | −167.791 | − | 15.7919i | −0.448639 | − | 0.0422243i | ||||
\(375\) | −465.677 | − | 369.235i | −1.24181 | − | 0.984628i | ||||
\(376\) | −70.7083 | − | 36.6202i | −0.188054 | − | 0.0973943i | ||||
\(377\) | −635.112 | − | 263.072i | −1.68465 | − | 0.697804i | ||||
\(378\) | 48.8173 | + | 28.8812i | 0.129146 | + | 0.0764053i | ||||
\(379\) | −64.6392 | − | 12.8575i | −0.170552 | − | 0.0339249i | 0.109076 | − | 0.994033i | \(-0.465211\pi\) |
−0.279627 | + | 0.960109i | \(0.590211\pi\) | |||||||
\(380\) | −898.796 | + | 186.896i | −2.36525 | + | 0.491832i | ||||
\(381\) | −40.2230 | + | 493.364i | −0.105572 | + | 1.29492i | ||||
\(382\) | −3.94241 | − | 38.3242i | −0.0103205 | − | 0.100325i | ||||
\(383\) | − | 454.541i | − | 1.18679i | −0.804911 | − | 0.593396i | \(-0.797787\pi\) | ||
0.804911 | − | 0.593396i | \(-0.202213\pi\) | |||||||
\(384\) | −228.157 | − | 308.870i | −0.594158 | − | 0.804348i | ||||
\(385\) | 57.5837 | 0.149568 | ||||||||
\(386\) | 410.634 | − | 42.2419i | 1.06382 | − | 0.109435i | ||||
\(387\) | 337.011 | − | 153.075i | 0.870828 | − | 0.395542i | ||||
\(388\) | 47.5452 | + | 228.648i | 0.122539 | + | 0.589299i | ||||
\(389\) | 41.9471 | − | 210.882i | 0.107833 | − | 0.542114i | −0.888669 | − | 0.458549i | \(-0.848369\pi\) |
0.996502 | − | 0.0835650i | \(-0.0266306\pi\) | |||||||
\(390\) | 1292.57 | − | 27.3568i | 3.31428 | − | 0.0701455i | ||||
\(391\) | 33.3692 | − | 80.5603i | 0.0853432 | − | 0.206037i | ||||
\(392\) | −340.249 | − | 176.217i | −0.867983 | − | 0.449533i | ||||
\(393\) | 293.394 | + | 232.632i | 0.746549 | + | 0.591939i | ||||
\(394\) | −8.02290 | + | 85.2444i | −0.0203627 | + | 0.216356i | ||||
\(395\) | 956.222 | − | 638.927i | 2.42082 | − | 1.61754i | ||||
\(396\) | 186.254 | − | 136.193i | 0.470340 | − | 0.343921i | ||||
\(397\) | −292.739 | + | 58.2294i | −0.737378 | + | 0.146674i | −0.549471 | − | 0.835513i | \(-0.685171\pi\) |
−0.187908 | + | 0.982187i | \(0.560171\pi\) | |||||||
\(398\) | 156.237 | − | 523.199i | 0.392556 | − | 1.31457i | ||||
\(399\) | 23.1793 | − | 81.3130i | 0.0580936 | − | 0.203792i | ||||
\(400\) | −770.450 | + | 13.3601i | −1.92612 | + | 0.0334003i | ||||
\(401\) | 322.438 | + | 322.438i | 0.804084 | + | 0.804084i | 0.983731 | − | 0.179647i | \(-0.0574956\pi\) |
−0.179647 | + | 0.983731i | \(0.557496\pi\) | |||||||
\(402\) | −49.8329 | + | 78.1091i | −0.123963 | + | 0.194301i | ||||
\(403\) | −51.4715 | − | 258.765i | −0.127721 | − | 0.642096i | ||||
\(404\) | −613.783 | + | 5.32131i | −1.51926 | + | 0.0131716i | ||||
\(405\) | 345.297 | − | 600.645i | 0.852585 | − | 1.48308i | ||||
\(406\) | −44.1556 | + | 36.5590i | −0.108758 | + | 0.0900468i | ||||
\(407\) | 69.1547 | + | 166.954i | 0.169913 | + | 0.410207i | ||||
\(408\) | −167.400 | + | 267.473i | −0.410295 | + | 0.655570i | ||||
\(409\) | −304.863 | − | 126.278i | −0.745386 | − | 0.308749i | −0.0225286 | − | 0.999746i | \(-0.507172\pi\) |
−0.722857 | + | 0.690997i | \(0.757172\pi\) | |||||||
\(410\) | 824.324 | − | 253.963i | 2.01055 | − | 0.619422i | ||||
\(411\) | 9.42623 | + | 29.2906i | 0.0229349 | + | 0.0712666i | ||||
\(412\) | 48.7677 | + | 9.26173i | 0.118368 | + | 0.0224799i | ||||
\(413\) | −91.6785 | − | 61.2576i | −0.221982 | − | 0.148324i | ||||
\(414\) | 38.9684 | + | 112.843i | 0.0941266 | + | 0.272567i | ||||
\(415\) | 570.873i | 1.37560i | ||||||||
\(416\) | 611.927 | − | 524.797i | 1.47098 | − | 1.26153i | ||||
\(417\) | 250.500 | − | 139.364i | 0.600719 | − | 0.334206i | ||||
\(418\) | −266.822 | − | 217.046i | −0.638330 | − | 0.519250i | ||||
\(419\) | −393.643 | − | 263.024i | −0.939481 | − | 0.627741i | −0.0113263 | − | 0.999936i | \(-0.503605\pi\) |
−0.928155 | + | 0.372195i | \(0.878605\pi\) | |||||||
\(420\) | 48.3818 | − | 96.3466i | 0.115195 | − | 0.229397i | ||||
\(421\) | −37.9780 | + | 190.928i | −0.0902091 | + | 0.453512i | 0.909108 | + | 0.416561i | \(0.136765\pi\) |
−0.999317 | + | 0.0369512i | \(0.988235\pi\) | |||||||
\(422\) | 109.143 | + | 354.260i | 0.258632 | + | 0.839479i | ||||
\(423\) | −52.2472 | − | 72.7680i | −0.123516 | − | 0.172028i | ||||
\(424\) | −54.7505 | + | 68.5113i | −0.129128 | + | 0.161583i | ||||
\(425\) | 242.309 | + | 584.986i | 0.570140 | + | 1.37644i | ||||
\(426\) | 74.9939 | − | 192.473i | 0.176042 | − | 0.451815i | ||||
\(427\) | −19.7275 | + | 13.1815i | −0.0462002 | + | 0.0308700i | ||||
\(428\) | 310.253 | + | 304.920i | 0.724890 | + | 0.712429i | ||||
\(429\) | 313.551 | + | 369.216i | 0.730889 | + | 0.860643i | ||||
\(430\) | −334.340 | − | 619.037i | −0.777535 | − | 1.43962i | ||||
\(431\) | 546.061 | + | 546.061i | 1.26696 | + | 1.26696i | 0.947649 | + | 0.319315i | \(0.103453\pi\) |
0.319315 | + | 0.947649i | \(0.396547\pi\) | |||||||
\(432\) | −71.3805 | − | 426.062i | −0.165233 | − | 0.986255i | ||||
\(433\) | −63.6891 | − | 63.6891i | −0.147088 | − | 0.147088i | 0.629728 | − | 0.776816i | \(-0.283166\pi\) |
−0.776816 | + | 0.629728i | \(0.783166\pi\) | |||||||
\(434\) | −21.0814 | − | 6.29531i | −0.0485746 | − | 0.0145053i | ||||
\(435\) | 453.257 | + | 533.724i | 1.04197 | + | 1.22695i | ||||
\(436\) | −237.327 | − | 559.196i | −0.544328 | − | 1.28256i | ||||
\(437\) | 147.968 | − | 98.8688i | 0.338599 | − | 0.226244i | ||||
\(438\) | −314.739 | + | 138.242i | −0.718583 | + | 0.315622i | ||||
\(439\) | −72.2005 | − | 174.307i | −0.164466 | − | 0.397055i | 0.820064 | − | 0.572271i | \(-0.193938\pi\) |
−0.984530 | + | 0.175216i | \(0.943938\pi\) | |||||||
\(440\) | −282.612 | − | 335.374i | −0.642300 | − | 0.762214i | ||||
\(441\) | −251.414 | − | 350.161i | −0.570100 | − | 0.794015i | ||||
\(442\) | −585.550 | − | 309.727i | −1.32477 | − | 0.700740i | ||||
\(443\) | −41.5051 | + | 208.660i | −0.0936910 | + | 0.471017i | 0.905245 | + | 0.424891i | \(0.139687\pi\) |
−0.998936 | + | 0.0461258i | \(0.985313\pi\) | |||||||
\(444\) | 337.445 | + | 24.5683i | 0.760010 | + | 0.0553339i | ||||
\(445\) | 266.834 | + | 178.293i | 0.599627 | + | 0.400658i | ||||
\(446\) | 63.3949 | + | 616.262i | 0.142141 | + | 1.38175i | ||||
\(447\) | 353.520 | − | 196.679i | 0.790873 | − | 0.439997i | ||||
\(448\) | −14.8251 | − | 65.5696i | −0.0330917 | − | 0.146361i | ||||
\(449\) | − | 385.312i | − | 0.858155i | −0.903268 | − | 0.429078i | \(-0.858839\pi\) | ||
0.903268 | − | 0.429078i | \(-0.141161\pi\) | |||||||
\(450\) | −779.494 | − | 379.317i | −1.73221 | − | 0.842926i | ||||
\(451\) | 268.708 | + | 179.545i | 0.595804 | + | 0.398104i | ||||
\(452\) | −43.0860 | + | 65.7089i | −0.0953231 | + | 0.145374i | ||||
\(453\) | 159.359 | + | 495.184i | 0.351786 | + | 1.09312i | ||||
\(454\) | 385.197 | + | 203.750i | 0.848451 | + | 0.448789i | ||||
\(455\) | 209.105 | + | 86.6140i | 0.459571 | + | 0.190361i | ||||
\(456\) | −587.337 | + | 264.073i | −1.28802 | + | 0.579107i | ||||
\(457\) | −289.125 | − | 698.009i | −0.632658 | − | 1.52737i | −0.836269 | − | 0.548320i | \(-0.815268\pi\) |
0.203611 | − | 0.979052i | \(-0.434732\pi\) | |||||||
\(458\) | 9.13128 | − | 97.0211i | 0.0199373 | − | 0.211836i | ||||
\(459\) | −304.223 | + | 182.920i | −0.662794 | + | 0.398519i | ||||
\(460\) | 208.881 | − | 88.6508i | 0.454090 | − | 0.192719i | ||||
\(461\) | 128.653 | + | 646.782i | 0.279074 | + | 1.40300i | 0.824985 | + | 0.565155i | \(0.191184\pi\) |
−0.545911 | + | 0.837843i | \(0.683816\pi\) | |||||||
\(462\) | 39.4419 | − | 8.71694i | 0.0853720 | − | 0.0188678i | ||||
\(463\) | −316.918 | − | 316.918i | −0.684487 | − | 0.684487i | 0.276521 | − | 0.961008i | \(-0.410819\pi\) |
−0.961008 | + | 0.276521i | \(0.910819\pi\) | |||||||
\(464\) | 429.633 | + | 77.7410i | 0.925932 | + | 0.167545i | ||||
\(465\) | −73.6723 | + | 258.442i | −0.158435 | + | 0.555789i | ||||
\(466\) | 270.255 | + | 500.382i | 0.579946 | + | 1.07378i | ||||
\(467\) | 65.5803 | − | 13.0447i | 0.140429 | − | 0.0279330i | −0.124375 | − | 0.992235i | \(-0.539693\pi\) |
0.264804 | + | 0.964302i | \(0.414693\pi\) | |||||||
\(468\) | 881.202 | − | 214.405i | 1.88291 | − | 0.458131i | ||||
\(469\) | −13.4864 | + | 9.01136i | −0.0287558 | + | 0.0192140i | ||||
\(470\) | −131.154 | + | 108.590i | −0.279050 | + | 0.231042i | ||||
\(471\) | 37.6921 | + | 29.8861i | 0.0800257 | + | 0.0634524i | ||||
\(472\) | 93.1730 | + | 834.589i | 0.197400 | + | 1.76820i | ||||
\(473\) | 100.875 | − | 243.534i | 0.213266 | − | 0.514870i | ||||
\(474\) | 558.243 | − | 582.384i | 1.17773 | − | 1.22866i | ||||
\(475\) | −252.104 | + | 1267.41i | −0.530746 | + | 2.66824i | ||||
\(476\) | −45.6622 | + | 31.0864i | −0.0959289 | + | 0.0653076i | ||||
\(477\) | −89.8310 | + | 40.8025i | −0.188325 | + | 0.0855398i | ||||
\(478\) | 273.354 | + | 222.359i | 0.571869 | + | 0.465187i | ||||
\(479\) | 56.3366 | 0.117613 | 0.0588065 | − | 0.998269i | \(-0.481271\pi\) | ||||
0.0588065 | + | 0.998269i | \(0.481271\pi\) | |||||||
\(480\) | −798.584 | + | 191.073i | −1.66372 | + | 0.398069i | ||||
\(481\) | 710.283i | 1.47668i | ||||||||
\(482\) | 511.049 | + | 415.713i | 1.06027 | + | 0.862475i | ||||
\(483\) | −1.69826 | + | 20.8303i | −0.00351606 | + | 0.0431270i | ||||
\(484\) | −59.6463 | + | 314.068i | −0.123236 | + | 0.648901i | ||||
\(485\) | 489.791 | + | 97.4255i | 1.00988 | + | 0.200877i | ||||
\(486\) | 145.586 | − | 463.682i | 0.299559 | − | 0.954078i | ||||
\(487\) | 139.102 | + | 57.6178i | 0.285630 | + | 0.118312i | 0.520898 | − | 0.853619i | \(-0.325597\pi\) |
−0.235269 | + | 0.971930i | \(0.575597\pi\) | |||||||
\(488\) | 173.590 | + | 50.2024i | 0.355717 | + | 0.102874i | ||||
\(489\) | −356.311 | − | 282.519i | −0.728652 | − | 0.577748i | ||||
\(490\) | −631.113 | + | 522.535i | −1.28799 | + | 1.06640i | ||||
\(491\) | 5.37551 | + | 8.04502i | 0.0109481 | + | 0.0163850i | 0.836903 | − | 0.547351i | \(-0.184364\pi\) |
−0.825955 | + | 0.563736i | \(0.809364\pi\) | |||||||
\(492\) | 526.175 | − | 298.737i | 1.06946 | − | 0.607188i | ||||
\(493\) | −69.9922 | − | 351.875i | −0.141972 | − | 0.713742i | ||||
\(494\) | −642.447 | − | 1189.50i | −1.30050 | − | 2.40790i | ||||
\(495\) | −112.484 | − | 480.400i | −0.227241 | − | 0.970506i | ||||
\(496\) | 66.7997 | + | 153.677i | 0.134677 | + | 0.309832i | ||||
\(497\) | 25.5708 | − | 25.5708i | 0.0514502 | − | 0.0514502i | ||||
\(498\) | 86.4179 | + | 391.018i | 0.173530 | + | 0.785177i | ||||
\(499\) | 808.489 | − | 160.818i | 1.62022 | − | 0.322281i | 0.700137 | − | 0.714009i | \(-0.253122\pi\) |
0.920081 | + | 0.391727i | \(0.128122\pi\) | |||||||
\(500\) | −296.879 | + | 734.681i | −0.593758 | + | 1.46936i | ||||
\(501\) | −814.687 | − | 417.989i | −1.62612 | − | 0.834310i | ||||
\(502\) | 10.9005 | − | 115.820i | 0.0217142 | − | 0.230717i | ||||
\(503\) | 595.132 | − | 246.512i | 1.18316 | − | 0.490083i | 0.297641 | − | 0.954678i | \(-0.403800\pi\) |
0.885523 | + | 0.464595i | \(0.153800\pi\) | |||||||
\(504\) | 18.5542 | − | 73.3164i | 0.0368140 | − | 0.145469i | ||||
\(505\) | −502.283 | + | 1212.62i | −0.994620 | + | 2.40123i | ||||
\(506\) | 75.1517 | + | 39.7516i | 0.148521 | + | 0.0785604i | ||||
\(507\) | 427.935 | + | 1329.74i | 0.844053 | + | 2.62277i | ||||
\(508\) | 646.179 | − | 134.367i | 1.27201 | − | 0.264502i | ||||
\(509\) | −120.472 | + | 180.299i | −0.236684 | + | 0.354222i | −0.930729 | − | 0.365709i | \(-0.880827\pi\) |
0.694046 | + | 0.719931i | \(0.255827\pi\) | |||||||
\(510\) | 386.647 | + | 552.960i | 0.758131 | + | 1.08424i | ||||
\(511\) | −60.1803 | −0.117770 | ||||||||
\(512\) | −309.126 | + | 408.149i | −0.603761 | + | 0.797165i | ||||
\(513\) | −723.644 | − | 34.5401i | −1.41061 | − | 0.0673296i | ||||
\(514\) | 66.4096 | + | 645.567i | 0.129201 | + | 1.25597i | ||||
\(515\) | 58.9716 | − | 88.2573i | 0.114508 | − | 0.171373i | ||||
\(516\) | −322.715 | − | 373.396i | −0.625416 | − | 0.723637i | ||||
\(517\) | −62.5699 | − | 12.4459i | −0.121025 | − | 0.0240734i | ||||
\(518\) | 52.3575 | + | 27.6945i | 0.101076 | + | 0.0534643i | ||||
\(519\) | 48.0853 | + | 416.283i | 0.0926499 | + | 0.802086i | ||||
\(520\) | −521.805 | − | 1642.94i | −1.00347 | − | 3.15950i | ||||
\(521\) | −652.381 | + | 270.225i | −1.25217 | + | 0.518666i | −0.907498 | − | 0.420057i | \(-0.862010\pi\) |
−0.344672 | + | 0.938723i | \(0.612010\pi\) | |||||||
\(522\) | 391.252 | + | 296.960i | 0.749525 | + | 0.568888i | ||||
\(523\) | −86.0585 | − | 128.796i | −0.164548 | − | 0.246263i | 0.740028 | − | 0.672576i | \(-0.234812\pi\) |
−0.904576 | + | 0.426313i | \(0.859812\pi\) | |||||||
\(524\) | 187.045 | − | 462.876i | 0.356956 | − | 0.883352i | ||||
\(525\) | −98.2363 | − | 115.676i | −0.187117 | − | 0.220335i | ||||
\(526\) | −669.585 | − | 199.951i | −1.27297 | − | 0.380135i | ||||
\(527\) | 97.3632 | − | 97.3632i | 0.184750 | − | 0.184750i | ||||
\(528\) | −244.343 | − | 186.932i | −0.462771 | − | 0.354039i | ||||
\(529\) | 342.956 | − | 342.956i | 0.648309 | − | 0.648309i | ||||
\(530\) | 89.1192 | + | 165.006i | 0.168149 | + | 0.311332i | ||||
\(531\) | −331.966 | + | 884.502i | −0.625171 | + | 1.66573i | ||||
\(532\) | −112.732 | + | 0.977352i | −0.211902 | + | 0.00183713i | ||||
\(533\) | 705.703 | + | 1056.16i | 1.32402 | + | 1.98154i | ||||
\(534\) | 209.757 | + | 81.7284i | 0.392804 | + | 0.153049i | ||||
\(535\) | 859.393 | − | 355.972i | 1.60634 | − | 0.665369i | ||||
\(536\) | 118.673 | + | 34.3202i | 0.221404 | + | 0.0640303i | ||||
\(537\) | 237.536 | − | 27.4380i | 0.442339 | − | 0.0510950i | ||||
\(538\) | 98.2667 | + | 318.958i | 0.182652 | + | 0.592859i | ||||
\(539\) | −301.087 | − | 59.8900i | −0.558603 | − | 0.111113i | ||||
\(540\) | −898.294 | − | 215.429i | −1.66351 | − | 0.398942i | ||||
\(541\) | 122.792 | − | 183.771i | 0.226972 | − | 0.339688i | −0.700452 | − | 0.713700i | \(-0.747018\pi\) |
0.927424 | + | 0.374012i | \(0.122018\pi\) | |||||||
\(542\) | 132.298 | + | 107.618i | 0.244092 | + | 0.198556i | ||||
\(543\) | −130.853 | + | 72.7994i | −0.240982 | + | 0.134069i | ||||
\(544\) | 405.154 | + | 113.374i | 0.744768 | + | 0.208408i | ||||
\(545\) | −1298.99 | −2.38347 | ||||||||
\(546\) | 156.337 | + | 27.6721i | 0.286332 | + | 0.0506816i | ||||
\(547\) | −242.707 | + | 363.237i | −0.443706 | + | 0.664053i | −0.984152 | − | 0.177326i | \(-0.943255\pi\) |
0.540446 | + | 0.841378i | \(0.318255\pi\) | |||||||
\(548\) | 33.9135 | − | 23.0880i | 0.0618860 | − | 0.0421315i | ||||
\(549\) | 148.504 | + | 138.831i | 0.270499 | + | 0.252879i | ||||
\(550\) | −589.986 | + | 181.767i | −1.07270 | + | 0.330485i | ||||
\(551\) | 280.200 | − | 676.462i | 0.508530 | − | 1.22770i | ||||
\(552\) | 129.653 | − | 92.3414i | 0.234879 | − | 0.167285i | ||||
\(553\) | 130.478 | − | 54.0459i | 0.235947 | − | 0.0977323i | ||||
\(554\) | −53.4571 | + | 44.2603i | −0.0964929 | + | 0.0798922i | ||||
\(555\) | 330.263 | − | 643.703i | 0.595069 | − | 1.15983i | ||||
\(556\) | −272.596 | − | 267.910i | −0.490281 | − | 0.481853i | ||||
\(557\) | −25.5338 | + | 5.07899i | −0.0458416 | + | 0.00911847i | −0.217958 | − | 0.975958i | \(-0.569940\pi\) |
0.172116 | + | 0.985077i | \(0.444940\pi\) | |||||||
\(558\) | −11.3391 | + | 188.172i | −0.0203210 | + | 0.337225i | ||||
\(559\) | 732.618 | − | 732.618i | 1.31059 | − | 1.31059i | ||||
\(560\) | −141.452 | − | 25.5955i | −0.252594 | − | 0.0457062i | ||||
\(561\) | −69.3028 | + | 243.114i | −0.123534 | + | 0.433358i | ||||
\(562\) | 5.65467 | − | 18.9360i | 0.0100617 | − | 0.0336940i | ||||
\(563\) | 82.0831 | + | 412.660i | 0.145796 | + | 0.732966i | 0.982640 | + | 0.185524i | \(0.0593982\pi\) |
−0.836844 | + | 0.547442i | \(0.815602\pi\) | |||||||
\(564\) | −73.3953 | + | 94.2323i | −0.130133 | + | 0.167078i | ||||
\(565\) | 93.3475 | + | 139.704i | 0.165217 | + | 0.247264i | ||||
\(566\) | 57.3750 | − | 609.617i | 0.101369 | − | 1.07706i | ||||
\(567\) | 55.9791 | − | 64.0715i | 0.0987285 | − | 0.113001i | ||||
\(568\) | −274.424 | − | 23.4296i | −0.483142 | − | 0.0412492i | ||||
\(569\) | −237.893 | − | 98.5385i | −0.418090 | − | 0.173178i | 0.163714 | − | 0.986508i | \(-0.447653\pi\) |
−0.581803 | + | 0.813329i | \(0.697653\pi\) | |||||||
\(570\) | 29.1379 | + | 1376.72i | 0.0511191 | + | 2.41531i | ||||
\(571\) | −509.269 | − | 101.300i | −0.891889 | − | 0.177408i | −0.272187 | − | 0.962244i | \(-0.587747\pi\) |
−0.619703 | + | 0.784837i | \(0.712747\pi\) | |||||||
\(572\) | 354.149 | − | 540.099i | 0.619141 | − | 0.944230i | ||||
\(573\) | −57.5985 | − | 4.69589i | −0.100521 | − | 0.00819527i | ||||
\(574\) | 105.369 | − | 10.8393i | 0.183570 | − | 0.0188839i | ||||
\(575\) | − | 319.415i | − | 0.555504i | ||||||
\(576\) | −518.065 | + | 251.764i | −0.899418 | + | 0.437090i | ||||
\(577\) | 98.4533 | 0.170630 | 0.0853148 | − | 0.996354i | \(-0.472810\pi\) | ||||
0.0853148 | + | 0.996354i | \(0.472810\pi\) | |||||||
\(578\) | 23.7703 | + | 231.071i | 0.0411250 | + | 0.399776i | ||||
\(579\) | 50.3153 | − | 617.154i | 0.0869003 | − | 1.06590i | ||||
\(580\) | 511.943 | − | 780.746i | 0.882661 | − | 1.34611i | ||||
\(581\) | −13.6768 | + | 68.7581i | −0.0235402 | + | 0.118344i | ||||
\(582\) | 350.230 | − | 7.41249i | 0.601770 | − | 0.0127362i | ||||
\(583\) | −26.8885 | + | 64.9145i | −0.0461208 | + | 0.111346i | ||||
\(584\) | 295.356 | + | 350.497i | 0.505746 | + | 0.600166i | ||||
\(585\) | 314.124 | − | 1913.68i | 0.536965 | − | 3.27125i | ||||
\(586\) | −781.484 | − | 73.5505i | −1.33359 | − | 0.125513i | ||||
\(587\) | 393.325 | − | 262.812i | 0.670060 | − | 0.447720i | −0.173443 | − | 0.984844i | \(-0.555489\pi\) |
0.843503 | + | 0.537124i | \(0.180489\pi\) | |||||||
\(588\) | −353.179 | + | 453.447i | −0.600644 | + | 0.771168i | ||||
\(589\) | 275.612 | − | 54.8226i | 0.467932 | − | 0.0930775i | ||||
\(590\) | 1720.65 | + | 513.818i | 2.91635 | + | 0.870879i | ||||
\(591\) | 123.511 | + | 35.2086i | 0.208987 | + | 0.0595745i | ||||
\(592\) | −95.6665 | − | 440.856i | −0.161599 | − | 0.744690i | ||||
\(593\) | −109.360 | − | 109.360i | −0.184418 | − | 0.184418i | 0.608860 | − | 0.793278i | \(-0.291627\pi\) |
−0.793278 | + | 0.608860i | \(0.791627\pi\) | |||||||
\(594\) | −149.768 | − | 312.022i | −0.252135 | − | 0.525289i | ||||
\(595\) | 23.0443 | + | 115.851i | 0.0387299 | + | 0.194708i | ||||
\(596\) | −384.704 | − | 378.090i | −0.645476 | − | 0.634380i | ||||
\(597\) | −728.725 | − | 373.885i | −1.22064 | − | 0.626274i | ||||
\(598\) | 213.108 | + | 257.389i | 0.356368 | + | 0.430417i | ||||
\(599\) | −213.045 | − | 514.335i | −0.355667 | − | 0.858656i | −0.995899 | − | 0.0904745i | \(-0.971162\pi\) |
0.640232 | − | 0.768182i | \(-0.278838\pi\) | |||||||
\(600\) | −191.582 | + | 1139.86i | −0.319303 | + | 1.89977i | ||||
\(601\) | 1023.68 | + | 424.021i | 1.70329 | + | 0.705525i | 0.999986 | − | 0.00536484i | \(-0.00170769\pi\) |
0.703303 | + | 0.710890i | \(0.251708\pi\) | |||||||
\(602\) | −25.4385 | − | 82.5693i | −0.0422566 | − | 0.137158i | ||||
\(603\) | 101.523 | + | 94.9098i | 0.168363 | + | 0.157396i | ||||
\(604\) | 573.339 | − | 390.325i | 0.949237 | − | 0.646233i | ||||
\(605\) | 568.384 | + | 379.782i | 0.939478 | + | 0.627739i | ||||
\(606\) | −160.473 | + | 906.617i | −0.264808 | + | 1.49607i | ||||
\(607\) | − | 589.044i | − | 0.970418i | −0.874398 | − | 0.485209i | \(-0.838744\pi\) | ||
0.874398 | − | 0.485209i | \(-0.161256\pi\) | |||||||
\(608\) | 558.964 | + | 651.768i | 0.919349 | + | 1.07199i | ||||
\(609\) | 41.8052 | + | 75.1428i | 0.0686457 | + | 0.123387i | ||||
\(610\) | 243.837 | − | 299.756i | 0.399732 | − | 0.491403i | ||||
\(611\) | −208.491 | − | 139.309i | −0.341229 | − | 0.228002i | ||||
\(612\) | 348.540 | + | 320.219i | 0.569509 | + | 0.523233i | ||||
\(613\) | −78.9339 | + | 396.828i | −0.128767 | + | 0.647353i | 0.861453 | + | 0.507837i | \(0.169555\pi\) |
−0.990220 | + | 0.139516i | \(0.955445\pi\) | |||||||
\(614\) | −655.128 | + | 201.836i | −1.06698 | + | 0.328723i | ||||
\(615\) | −148.466 | − | 1285.29i | −0.241407 | − | 2.08990i | ||||
\(616\) | −26.0041 | − | 47.1645i | −0.0422144 | − | 0.0765658i | ||||
\(617\) | −23.0051 | − | 55.5392i | −0.0372854 | − | 0.0900149i | 0.904140 | − | 0.427236i | \(-0.140513\pi\) |
−0.941425 | + | 0.337222i | \(0.890513\pi\) | |||||||
\(618\) | 27.0323 | − | 69.3787i | 0.0437415 | − | 0.112263i | ||||
\(619\) | 395.342 | − | 264.159i | 0.638678 | − | 0.426751i | −0.193622 | − | 0.981076i | \(-0.562023\pi\) |
0.832300 | + | 0.554325i | \(0.187023\pi\) | |||||||
\(620\) | 358.303 | − | 3.10638i | 0.577908 | − | 0.00501029i | ||||
\(621\) | 177.098 | − | 26.5221i | 0.285181 | − | 0.0427087i | ||||
\(622\) | 615.575 | − | 332.471i | 0.989671 | − | 0.534519i | ||||
\(623\) | 27.8670 | + | 27.8670i | 0.0447304 | + | 0.0447304i | ||||
\(624\) | −606.115 | − | 1046.34i | −0.971339 | − | 1.67682i | ||||
\(625\) | 346.772 | + | 346.772i | 0.554836 | + | 0.554836i | ||||
\(626\) | 89.8377 | − | 300.844i | 0.143511 | − | 0.480581i | ||||
\(627\) | −393.254 | + | 333.966i | −0.627200 | + | 0.532641i | ||||
\(628\) | 24.0295 | − | 59.4654i | 0.0382636 | − | 0.0946901i | ||||
\(629\) | −308.217 | + | 205.944i | −0.490011 | + | 0.327415i | ||||
\(630\) | −128.816 | − | 97.7712i | −0.204470 | − | 0.155192i | ||||
\(631\) | 189.912 | + | 458.488i | 0.300970 | + | 0.726605i | 0.999934 | + | 0.0114488i | \(0.00364434\pi\) |
−0.698965 | + | 0.715156i | \(0.746356\pi\) | |||||||
\(632\) | −955.138 | − | 494.672i | −1.51129 | − | 0.782709i | ||||
\(633\) | 552.365 | − | 63.8043i | 0.872615 | − | 0.100797i | ||||
\(634\) | −386.719 | + | 731.106i | −0.609967 | + | 1.15316i | ||||
\(635\) | 275.333 | − | 1384.19i | 0.433595 | − | 2.17983i | ||||
\(636\) | 86.0204 | + | 99.5298i | 0.135252 | + | 0.156493i | ||||
\(637\) | −1003.26 | − | 670.358i | −1.57498 | − | 1.05237i | ||||
\(638\) | 347.961 | − | 35.7947i | 0.545393 | − | 0.0561046i | ||||
\(639\) | −263.278 | − | 163.378i | −0.412015 | − | 0.255677i | ||||
\(640\) | 545.157 | + | 949.454i | 0.851807 | + | 1.48352i | ||||
\(641\) | − | 557.270i | − | 0.869376i | −0.900581 | − | 0.434688i | \(-0.856859\pi\) | ||
0.900581 | − | 0.434688i | \(-0.143141\pi\) | |||||||
\(642\) | 534.753 | − | 373.916i | 0.832949 | − | 0.582424i | ||||
\(643\) | −740.473 | − | 494.768i | −1.15159 | − | 0.769469i | −0.174999 | − | 0.984569i | \(-0.555992\pi\) |
−0.976592 | + | 0.215100i | \(0.930992\pi\) | |||||||
\(644\) | 27.2823 | − | 5.67311i | 0.0423639 | − | 0.00880918i | ||||
\(645\) | −1004.59 | + | 323.296i | −1.55751 | + | 0.501234i | ||||
\(646\) | 329.892 | − | 623.673i | 0.510669 | − | 0.965438i | ||||
\(647\) | −820.568 | − | 339.890i | −1.26827 | − | 0.525333i | −0.355829 | − | 0.934551i | \(-0.615802\pi\) |
−0.912437 | + | 0.409218i | \(0.865802\pi\) | |||||||
\(648\) | −647.897 | − | 11.5750i | −0.999840 | − | 0.0178627i | ||||
\(649\) | 257.469 | + | 621.585i | 0.396717 | + | 0.957759i | ||||
\(650\) | −2415.83 | − | 227.369i | −3.71666 | − | 0.349799i | ||||
\(651\) | −15.0651 | + | 29.3627i | −0.0231414 | + | 0.0451040i | ||||
\(652\) | −227.156 | + | 562.138i | −0.348398 | + | 0.862174i | ||||
\(653\) | −61.3669 | − | 308.512i | −0.0939769 | − | 0.472454i | −0.998901 | − | 0.0468798i | \(-0.985072\pi\) |
0.904924 | − | 0.425574i | \(-0.139928\pi\) | |||||||
\(654\) | −889.740 | + | 196.639i | −1.36046 | + | 0.300672i | ||||
\(655\) | −754.870 | − | 754.870i | −1.15247 | − | 1.15247i | ||||
\(656\) | −580.266 | − | 560.484i | −0.884551 | − | 0.854397i | ||||
\(657\) | 117.556 | + | 502.063i | 0.178929 | + | 0.764174i | ||||
\(658\) | −18.3982 | + | 9.93683i | −0.0279608 | + | 0.0151016i | ||||
\(659\) | −702.916 | + | 139.819i | −1.06664 | + | 0.212168i | −0.697047 | − | 0.717026i | \(-0.745503\pi\) |
−0.369594 | + | 0.929193i | \(0.620503\pi\) | |||||||
\(660\) | −572.084 | + | 324.802i | −0.866795 | + | 0.492124i | ||||
\(661\) | 454.563 | − | 303.729i | 0.687690 | − | 0.459500i | −0.161994 | − | 0.986792i | \(-0.551793\pi\) |
0.849684 | + | 0.527292i | \(0.176793\pi\) | |||||||
\(662\) | −293.052 | − | 353.946i | −0.442677 | − | 0.534661i | ||||
\(663\) | −617.338 | + | 778.583i | −0.931129 | + | 1.17433i | ||||
\(664\) | 467.579 | − | 257.799i | 0.704185 | − | 0.388252i | ||||
\(665\) | −92.2532 | + | 222.719i | −0.138727 | + | 0.334916i | ||||
\(666\) | 128.770 | − | 490.898i | 0.193349 | − | 0.737084i | ||||
\(667\) | −35.3081 | + | 177.506i | −0.0529356 | + | 0.266125i | ||||
\(668\) | −227.792 | + | 1199.44i | −0.341005 | + | 1.79557i | ||||
\(669\) | 926.199 | + | 75.5111i | 1.38445 | + | 0.112872i | ||||
\(670\) | 166.696 | − | 204.925i | 0.248800 | − | 0.305857i | ||||
\(671\) | 144.774 | 0.215758 | ||||||||
\(672\) | −100.762 | + | 3.88131i | −0.149944 | + | 0.00577576i | ||||
\(673\) | − | 1006.52i | − | 1.49557i | −0.663940 | − | 0.747786i | \(-0.731117\pi\) | ||
0.663940 | − | 0.747786i | \(-0.268883\pi\) | |||||||
\(674\) | 104.846 | − | 128.891i | 0.155558 | − | 0.191233i | ||||
\(675\) | −773.150 | + | 1045.51i | −1.14541 | + | 1.54891i | ||||
\(676\) | 1539.62 | − | 1048.16i | 2.27754 | − | 1.55053i | ||||
\(677\) | −27.0127 | − | 5.37317i | −0.0399007 | − | 0.00793673i | 0.175100 | − | 0.984551i | \(-0.443975\pi\) |
−0.215000 | + | 0.976614i | \(0.568975\pi\) | |||||||
\(678\) | 85.0865 | + | 81.5595i | 0.125496 | + | 0.120294i | ||||
\(679\) | 56.6583 | + | 23.4686i | 0.0834437 | + | 0.0345635i | ||||
\(680\) | 561.634 | − | 702.794i | 0.825932 | − | 1.03352i | ||||
\(681\) | 406.108 | − | 512.181i | 0.596341 | − | 0.752102i | ||||
\(682\) | 85.6159 | + | 103.406i | 0.125536 | + | 0.151622i | ||||
\(683\) | 312.844 | + | 468.205i | 0.458045 | + | 0.685512i | 0.986558 | − | 0.163413i | \(-0.0522503\pi\) |
−0.528513 | + | 0.848925i | \(0.677250\pi\) | |||||||
\(684\) | 228.365 | + | 938.574i | 0.333867 | + | 1.37218i | ||||
\(685\) | −17.1151 | − | 86.0434i | −0.0249855 | − | 0.125611i | ||||
\(686\) | −179.104 | + | 96.7337i | −0.261085 | + | 0.141011i | ||||
\(687\) | −140.575 | − | 40.0727i | −0.204621 | − | 0.0583299i | ||||
\(688\) | −356.045 | + | 553.394i | −0.517507 | + | 0.804352i | ||||
\(689\) | −195.281 | + | 195.281i | −0.283427 | + | 0.283427i | ||||
\(690\) | −73.4523 | − | 332.352i | −0.106453 | − | 0.481670i | ||||
\(691\) | −188.789 | + | 37.5525i | −0.273211 | + | 0.0543451i | −0.329794 | − | 0.944053i | \(-0.606979\pi\) |
0.0565830 | + | 0.998398i | \(0.481979\pi\) | |||||||
\(692\) | 514.330 | − | 218.285i | 0.743252 | − | 0.315441i | ||||
\(693\) | −2.03869 | − | 60.5561i | −0.00294184 | − | 0.0873826i | ||||
\(694\) | 978.578 | + | 92.1003i | 1.41005 | + | 0.132709i | ||||
\(695\) | −755.084 | + | 312.766i | −1.08645 | + | 0.450023i | ||||
\(696\) | 232.466 | − | 612.268i | 0.334003 | − | 0.879695i | ||||
\(697\) | −253.689 | + | 612.459i | −0.363972 | + | 0.878707i | ||||
\(698\) | −19.7228 | + | 37.2867i | −0.0282562 | + | 0.0534194i | ||||
\(699\) | 812.036 | − | 261.328i | 1.16171 | − | 0.373859i | ||||
\(700\) | −110.956 | + | 169.214i | −0.158508 | + | 0.241735i | ||||
\(701\) | −535.074 | + | 800.795i | −0.763302 | + | 1.14236i | 0.222579 | + | 0.974915i | \(0.428552\pi\) |
−0.985881 | + | 0.167447i | \(0.946448\pi\) | |||||||
\(702\) | −74.5311 | − | 1358.32i | −0.106170 | − | 1.93493i | ||||
\(703\) | −756.527 | −1.07614 | ||||||||
\(704\) | −147.067 | + | 382.927i | −0.208902 | + | 0.543931i | ||||
\(705\) | 124.172 | + | 223.194i | 0.176131 | + | 0.316587i | ||||
\(706\) | −547.775 | + | 56.3497i | −0.775885 | + | 0.0798154i | ||||
\(707\) | −89.5486 | + | 134.019i | −0.126660 | + | 0.189560i | ||||
\(708\) | 1256.34 | + | 91.4698i | 1.77449 | + | 0.129195i | ||||
\(709\) | 1128.16 | + | 224.404i | 1.59119 | + | 0.316508i | 0.909684 | − | 0.415301i | \(-0.136324\pi\) |
0.681510 | + | 0.731809i | \(0.261324\pi\) | |||||||
\(710\) | −275.375 | + | 520.605i | −0.387851 | + | 0.733247i | ||||
\(711\) | −705.763 | − | 982.962i | −0.992634 | − | 1.38251i | ||||
\(712\) | 25.5336 | − | 299.068i | 0.0358617 | − | 0.420039i | ||||
\(713\) | −64.1726 | + | 26.5812i | −0.0900036 | + | 0.0372807i | ||||
\(714\) | 33.3216 | + | 75.8638i | 0.0466689 | + | 0.106252i | ||||
\(715\) | −767.276 | − | 1148.31i | −1.07311 | − | 1.60603i | ||||
\(716\) | −124.556 | − | 293.483i | −0.173961 | − | 0.409892i | ||||
\(717\) | 402.881 | − | 342.141i | 0.561898 | − | 0.477184i | ||||
\(718\) | 79.0628 | − | 264.761i | 0.110115 | − | 0.368748i | ||||
\(719\) | −255.859 | + | 255.859i | −0.355854 | + | 0.355854i | −0.862282 | − | 0.506428i | \(-0.830965\pi\) |
0.506428 | + | 0.862282i | \(0.330965\pi\) | |||||||
\(720\) | 62.7795 | + | 1230.09i | 0.0871937 | + | 1.70845i | ||||
\(721\) | 9.21722 | − | 9.21722i | 0.0127839 | − | 0.0127839i | ||||
\(722\) | 631.682 | − | 341.170i | 0.874906 | − | 0.472534i | ||||
\(723\) | 753.207 | − | 639.650i | 1.04178 | − | 0.884717i | ||||
\(724\) | 142.396 | + | 139.948i | 0.196679 | + | 0.193298i | ||||
\(725\) | −730.132 | − | 1092.72i | −1.00708 | − | 1.50720i | ||||
\(726\) | 446.805 | + | 174.090i | 0.615434 | + | 0.239793i | ||||
\(727\) | −752.187 | + | 311.566i | −1.03465 | + | 0.428564i | −0.834387 | − | 0.551179i | \(-0.814178\pi\) |
−0.200258 | + | 0.979743i | \(0.564178\pi\) | |||||||
\(728\) | −23.4870 | − | 210.383i | −0.0322624 | − | 0.288988i | ||||
\(729\) | −643.875 | − | 341.856i | −0.883231 | − | 0.468938i | ||||
\(730\) | 936.662 | − | 288.573i | 1.28310 | − | 0.395305i | ||||
\(731\) | 530.329 | + | 105.489i | 0.725484 | + | 0.144308i | ||||
\(732\) | 121.639 | − | 242.229i | 0.166173 | − | 0.330914i | ||||
\(733\) | 590.609 | − | 883.909i | 0.805743 | − | 1.20588i | −0.169672 | − | 0.985501i | \(-0.554271\pi\) |
0.975414 | − | 0.220378i | \(-0.0707292\pi\) | |||||||
\(734\) | 3.11414 | − | 3.82831i | 0.00424269 | − | 0.00521568i | ||||
\(735\) | 597.519 | + | 1074.01i | 0.812952 | + | 1.46124i | ||||
\(736\) | −166.939 | − | 131.053i | −0.226819 | − | 0.178061i | ||||
\(737\) | 98.9727 | 0.134291 | ||||||||
\(738\) | −296.257 | − | 857.884i | −0.401432 | − | 1.16244i | ||||
\(739\) | −648.472 | + | 970.507i | −0.877500 | + | 1.31327i | 0.0713203 | + | 0.997453i | \(0.477279\pi\) |
−0.948820 | + | 0.315818i | \(0.897721\pi\) | |||||||
\(740\) | −947.705 | − | 179.983i | −1.28068 | − | 0.243221i | ||||
\(741\) | −1930.36 | + | 621.226i | −2.60508 | + | 0.838361i | ||||
\(742\) | 6.78069 | + | 22.0090i | 0.00913840 | + | 0.0296618i | ||||
\(743\) | −164.070 | + | 396.101i | −0.220822 | + | 0.533110i | −0.995002 | − | 0.0998545i | \(-0.968162\pi\) |
0.774180 | + | 0.632965i | \(0.218162\pi\) | |||||||
\(744\) | 244.949 | − | 56.3672i | 0.329232 | − | 0.0757623i | ||||
\(745\) | −1065.62 | + | 441.394i | −1.43036 | + | 0.592475i | ||||
\(746\) | 830.649 | + | 1003.25i | 1.11347 | + | 1.34484i | ||||
\(747\) | 600.341 | − | 20.2112i | 0.803669 | − | 0.0270565i | ||||
\(748\) | 337.052 | − | 2.92214i | 0.450605 | − | 0.00390660i | ||||
\(749\) | 112.037 | − | 22.2855i | 0.149582 | − | 0.0297537i | ||||
\(750\) | 1002.03 | + | 639.289i | 1.33604 | + | 0.852385i | ||||
\(751\) | 555.081 | − | 555.081i | 0.739123 | − | 0.739123i | −0.233285 | − | 0.972408i | \(-0.574948\pi\) |
0.972408 | + | 0.233285i | \(0.0749477\pi\) | |||||||
\(752\) | 148.169 | + | 58.3849i | 0.197033 | + | 0.0776394i | ||||
\(753\) | −167.812 | − | 47.8371i | −0.222858 | − | 0.0635287i | ||||
\(754\) | 1317.40 | + | 393.400i | 1.74721 | + | 0.521751i | ||||
\(755\) | −289.347 | − | 1454.64i | −0.383241 | − | 1.92668i | ||||
\(756\) | −103.033 | − | 47.4682i | −0.136287 | − | 0.0627886i | ||||
\(757\) | −335.051 | − | 501.440i | −0.442604 | − | 0.662404i | 0.541356 | − | 0.840794i | \(-0.317911\pi\) |
−0.983960 | + | 0.178390i | \(0.942911\pi\) | |||||||
\(758\) | 131.231 | + | 12.3510i | 0.173128 | + | 0.0162942i | ||||
\(759\) | 79.2316 | − | 99.9263i | 0.104389 | − | 0.131655i | ||||
\(760\) | 1749.91 | − | 555.778i | 2.30251 | − | 0.731287i | ||||
\(761\) | 1097.87 | + | 454.753i | 1.44267 | + | 0.597573i | 0.960444 | − | 0.278475i | \(-0.0898288\pi\) |
0.482225 | + | 0.876047i | \(0.339829\pi\) | |||||||
\(762\) | −20.9483 | − | 989.780i | −0.0274912 | − | 1.29892i | ||||
\(763\) | −156.455 | − | 31.1209i | −0.205053 | − | 0.0407875i | ||||
\(764\) | 15.6869 | + | 75.4392i | 0.0205325 | + | 0.0987423i | ||||
\(765\) | 921.492 | − | 418.555i | 1.20457 | − | 0.547130i | ||||
\(766\) | 93.0265 | + | 904.311i | 0.121445 | + | 1.18056i | ||||
\(767\) | 2644.44i | 3.44778i | ||||||||
\(768\) | 517.131 | + | 567.802i | 0.673348 | + | 0.739326i | ||||
\(769\) | −1179.12 | −1.53331 | −0.766655 | − | 0.642059i | \(-0.778080\pi\) | ||||
−0.766655 | + | 0.642059i | \(0.778080\pi\) | |||||||
\(770\) | −114.563 | + | 11.7851i | −0.148783 | + | 0.0153053i | ||||
\(771\) | 970.242 | + | 79.1018i | 1.25842 | + | 0.102596i | ||||
\(772\) | −808.311 | + | 168.081i | −1.04704 | + | 0.217721i | ||||
\(773\) | 60.4013 | − | 303.658i | 0.0781388 | − | 0.392831i | −0.921847 | − | 0.387553i | \(-0.873320\pi\) |
0.999986 | − | 0.00527705i | \(-0.00167974\pi\) | |||||||
\(774\) | −639.154 | + | 373.515i | −0.825781 | + | 0.482578i | ||||
\(775\) | 193.018 | − | 465.987i | 0.249056 | − | 0.601274i | ||||
\(776\) | −141.386 | − | 445.165i | −0.182199 | − | 0.573666i | ||||
\(777\) | 55.1999 | − | 69.6177i | 0.0710423 | − | 0.0895981i | ||||
\(778\) | −40.2946 | + | 428.136i | −0.0517925 | + | 0.550303i | ||||
\(779\) | −1124.92 | + | 751.649i | −1.44406 | + | 0.964889i | ||||
\(780\) | −2565.97 | + | 318.964i | −3.28970 | + | 0.408928i | ||||
\(781\) | −216.420 | + | 43.0485i | −0.277106 | + | 0.0551198i | ||||
\(782\) | −49.9005 | + | 167.104i | −0.0638114 | + | 0.213688i | ||||
\(783\) | 545.227 | − | 495.550i | 0.696331 | − | 0.632886i | ||||
\(784\) | 712.991 | + | 280.949i | 0.909427 | + | 0.358353i | ||||
\(785\) | −96.9776 | − | 96.9776i | −0.123538 | − | 0.123538i | ||||
\(786\) | −631.318 | − | 402.776i | −0.803203 | − | 0.512437i | ||||
\(787\) | −176.070 | − | 885.162i | −0.223723 | − | 1.12473i | −0.915407 | − | 0.402529i | \(-0.868131\pi\) |
0.691684 | − | 0.722200i | \(-0.256869\pi\) | |||||||
\(788\) | −1.48456 | − | 171.236i | −0.00188396 | − | 0.217304i | ||||
\(789\) | −478.495 | + | 932.615i | −0.606457 | + | 1.18202i | ||||
\(790\) | −1771.64 | + | 1466.85i | −2.24259 | + | 1.85677i | ||||
\(791\) | 7.89613 | + | 19.0629i | 0.00998246 | + | 0.0240998i | ||||
\(792\) | −342.680 | + | 309.074i | −0.432677 | + | 0.390245i | ||||
\(793\) | 525.719 | + | 217.760i | 0.662950 | + | 0.274603i | ||||
\(794\) | 570.488 | − | 175.760i | 0.718498 | − | 0.221360i | ||||
\(795\) | 267.777 | − | 86.1754i | 0.336826 | − | 0.108397i | ||||
\(796\) | −203.756 | + | 1072.88i | −0.255975 | + | 1.34784i | ||||
\(797\) | 1190.59 | + | 795.526i | 1.49384 | + | 0.998151i | 0.991013 | + | 0.133763i | \(0.0427061\pi\) |
0.502825 | + | 0.864388i | \(0.332294\pi\) | |||||||
\(798\) | −29.4738 | + | 166.516i | −0.0369346 | + | 0.208667i | ||||
\(799\) | − | 130.864i | − | 0.163785i | ||||||
\(800\) | 1530.08 | − | 184.260i | 1.91260 | − | 0.230325i | ||||
\(801\) | 178.049 | − | 286.920i | 0.222284 | − | 0.358203i | ||||
\(802\) | −707.480 | − | 575.500i | −0.882145 | − | 0.717581i | ||||
\(803\) | 305.327 | + | 204.013i | 0.380233 | + | 0.254063i | ||||
\(804\) | 83.1569 | − | 165.597i | 0.103429 | − | 0.205966i | ||||
\(805\) | 11.6248 | − | 58.4421i | 0.0144408 | − | 0.0725988i | ||||
\(806\) | 155.361 | + | 504.278i | 0.192756 | + | 0.625656i | ||||
\(807\) | 497.322 | − | 57.4462i | 0.616260 | − | 0.0711849i | ||||
\(808\) | 1220.03 | − | 136.204i | 1.50994 | − | 0.168569i | ||||
\(809\) | 453.351 | + | 1094.49i | 0.560384 | + | 1.35289i | 0.909459 | + | 0.415793i | \(0.136496\pi\) |
−0.349075 | + | 0.937095i | \(0.613504\pi\) | |||||||
\(810\) | −564.041 | + | 1265.65i | −0.696347 | + | 1.56253i | ||||
\(811\) | −227.976 | + | 152.328i | −0.281104 | + | 0.187828i | −0.688127 | − | 0.725590i | \(-0.741567\pi\) |
0.407023 | + | 0.913418i | \(0.366567\pi\) | |||||||
\(812\) | 80.3653 | − | 81.7710i | 0.0989721 | − | 0.100703i | ||||
\(813\) | 194.986 | − | 165.589i | 0.239836 | − | 0.203677i | ||||
\(814\) | −171.752 | − | 318.002i | −0.210998 | − | 0.390666i | ||||
\(815\) | 916.747 | + | 916.747i | 1.12484 | + | 1.12484i | ||||
\(816\) | 278.302 | − | 566.397i | 0.341057 | − | 0.694114i | ||||
\(817\) | 780.316 | + | 780.316i | 0.955099 | + | 0.955099i | ||||
\(818\) | 632.369 | + | 188.838i | 0.773067 | + | 0.230853i | ||||
\(819\) | 83.6819 | − | 222.965i | 0.102176 | − | 0.272241i | ||||
\(820\) | −1588.02 | + | 673.966i | −1.93661 | + | 0.821910i | ||||
\(821\) | −90.8370 | + | 60.6954i | −0.110642 | + | 0.0739286i | −0.609660 | − | 0.792663i | \(-0.708694\pi\) |
0.499018 | + | 0.866592i | \(0.333694\pi\) | |||||||
\(822\) | −24.7481 | − | 56.3444i | −0.0301072 | − | 0.0685455i | ||||
\(823\) | 230.969 | + | 557.608i | 0.280643 | + | 0.677532i | 0.999851 | − | 0.0172630i | \(-0.00549527\pi\) |
−0.719208 | + | 0.694795i | \(0.755495\pi\) | |||||||
\(824\) | −98.9189 | − | 8.44541i | −0.120047 | − | 0.0102493i | ||||
\(825\) | 106.260 | + | 919.911i | 0.128800 | + | 1.11504i | ||||
\(826\) | 194.931 | + | 103.109i | 0.235995 | + | 0.124829i | ||||
\(827\) | −260.792 | + | 1311.09i | −0.315347 | + | 1.58536i | 0.419909 | + | 0.907566i | \(0.362062\pi\) |
−0.735256 | + | 0.677789i | \(0.762938\pi\) | |||||||
\(828\) | −100.622 | − | 216.525i | −0.121524 | − | 0.261504i | ||||
\(829\) | 398.398 | + | 266.201i | 0.480577 | + | 0.321111i | 0.772153 | − | 0.635436i | \(-0.219180\pi\) |
−0.291576 | + | 0.956548i | \(0.594180\pi\) | |||||||
\(830\) | −116.835 | − | 1135.75i | −0.140765 | − | 1.36838i | ||||
\(831\) | 50.6116 | + | 90.9719i | 0.0609045 | + | 0.109473i | ||||
\(832\) | −1110.02 | + | 1169.32i | −1.33416 | + | 1.40543i | ||||
\(833\) | − | 629.718i | − | 0.755964i | ||||||
\(834\) | −469.848 | + | 328.532i | −0.563366 | + | 0.393924i | ||||
\(835\) | 2170.68 | + | 1450.40i | 2.59962 | + | 1.73701i | ||||
\(836\) | 575.263 | + | 377.206i | 0.688114 | + | 0.451204i | ||||
\(837\) | 274.391 | + | 68.3253i | 0.327827 | + | 0.0816312i | ||||
\(838\) | 836.983 | + | 442.723i | 0.998786 | + | 0.528309i | ||||
\(839\) | 91.9220 | + | 38.0753i | 0.109561 | + | 0.0453818i | 0.436791 | − | 0.899563i | \(-0.356115\pi\) |
−0.327229 | + | 0.944945i | \(0.606115\pi\) | |||||||
\(840\) | −76.5374 | + | 201.583i | −0.0911159 | + | 0.239980i | ||||
\(841\) | −36.8755 | − | 89.0253i | −0.0438472 | − | 0.105856i | ||||
\(842\) | 36.4819 | − | 387.625i | 0.0433277 | − | 0.460362i | ||||
\(843\) | −26.3746 | − | 13.5320i | −0.0312866 | − | 0.0160522i | ||||
\(844\) | −289.643 | − | 682.464i | −0.343179 | − | 0.808607i | ||||
\(845\) | −776.997 | − | 3906.23i | −0.919523 | − | 4.62275i | ||||
\(846\) | 118.839 | + | 134.079i | 0.140471 | + | 0.158486i | ||||
\(847\) | 59.3597 | + | 59.3597i | 0.0700823 | + | 0.0700823i | ||||
\(848\) | 94.9046 | − | 147.509i | 0.111916 | − | 0.173949i | ||||
\(849\) | −883.280 | − | 251.790i | −1.04038 | − | 0.296573i | ||||
\(850\) | −601.798 | − | 1114.24i | −0.707998 | − | 1.31087i | ||||
\(851\) | 183.404 | − | 36.4813i | 0.215516 | − | 0.0428687i | ||||
\(852\) | −109.809 | + | 398.274i | −0.128884 | + | 0.467457i | ||||
\(853\) | −682.379 | + | 455.951i | −0.799976 | + | 0.534527i | −0.887049 | − | 0.461675i | \(-0.847249\pi\) |
0.0870732 | + | 0.996202i | \(0.472249\pi\) | |||||||
\(854\) | 36.5501 | − | 30.2620i | 0.0427987 | − | 0.0354356i | ||||
\(855\) | 2038.27 | + | 334.576i | 2.38394 | + | 0.391317i | ||||
\(856\) | −679.654 | − | 543.142i | −0.793988 | − | 0.634511i | ||||
\(857\) | 297.464 | − | 718.141i | 0.347099 | − | 0.837970i | −0.649861 | − | 0.760053i | \(-0.725173\pi\) |
0.996960 | − | 0.0779174i | \(-0.0248270\pi\) | |||||||
\(858\) | −699.374 | − | 670.384i | −0.815122 | − | 0.781333i | ||||
\(859\) | 184.000 | − | 925.030i | 0.214203 | − | 1.07687i | −0.712672 | − | 0.701497i | \(-0.752515\pi\) |
0.926875 | − | 0.375371i | \(-0.122485\pi\) | |||||||
\(860\) | 791.862 | + | 1163.15i | 0.920770 | + | 1.35250i | ||||
\(861\) | 12.9110 | − | 158.362i | 0.0149953 | − | 0.183928i | ||||
\(862\) | −1198.15 | − | 974.632i | −1.38996 | − | 1.13066i | ||||
\(863\) | −1234.17 | −1.43010 | −0.715048 | − | 0.699075i | \(-0.753595\pi\) | ||||
−0.715048 | + | 0.699075i | \(0.753595\pi\) | |||||||
\(864\) | 229.210 | + | 833.042i | 0.265289 | + | 0.964169i | ||||
\(865\) | − | 1194.77i | − | 1.38123i | ||||||
\(866\) | 139.744 | + | 113.675i | 0.161367 | + | 0.131264i | ||||
\(867\) | 347.283 | + | 28.3133i | 0.400557 | + | 0.0326566i | ||||
\(868\) | 43.2298 | + | 8.21000i | 0.0498040 | + | 0.00945853i | ||||
\(869\) | −845.204 | − | 168.122i | −0.972617 | − | 0.193466i | ||||
\(870\) | −1010.99 | − | 969.080i | −1.16205 | − | 1.11389i | ||||
\(871\) | 359.401 | + | 148.869i | 0.412631 | + | 0.170917i | ||||
\(872\) | 586.607 | + | 1063.95i | 0.672715 | + | 1.22013i | ||||
\(873\) | 85.1140 | − | 518.523i | 0.0974960 | − | 0.593956i | ||||
\(874\) | −274.147 | + | 226.983i | −0.313670 | + | 0.259706i | ||||
\(875\) | 115.603 | + | 173.013i | 0.132118 | + | 0.197729i | ||||
\(876\) | 597.881 | − | 339.448i | 0.682513 | − | 0.387498i | ||||
\(877\) | 288.747 | + | 1451.63i | 0.329244 | + | 1.65522i | 0.690931 | + | 0.722921i | \(0.257201\pi\) |
−0.361687 | + | 0.932300i | \(0.617799\pi\) | |||||||
\(878\) | 179.317 | + | 332.008i | 0.204233 | + | 0.378141i | ||||
\(879\) | −322.777 | + | 1132.30i | −0.367209 | + | 1.28817i | ||||
\(880\) | 630.895 | + | 609.387i | 0.716926 | + | 0.692486i | ||||
\(881\) | 430.932 | − | 430.932i | 0.489140 | − | 0.489140i | −0.418895 | − | 0.908035i | \(-0.637583\pi\) |
0.908035 | + | 0.418895i | \(0.137583\pi\) | |||||||
\(882\) | 571.852 | + | 645.191i | 0.648359 | + | 0.731509i | ||||
\(883\) | 65.8042 | − | 13.0893i | 0.0745235 | − | 0.0148236i | −0.157688 | − | 0.987489i | \(-0.550404\pi\) |
0.232211 | + | 0.972665i | \(0.425404\pi\) | |||||||
\(884\) | 1228.34 | + | 496.363i | 1.38953 | + | 0.561497i | ||||
\(885\) | 1229.60 | − | 2396.56i | 1.38938 | − | 2.70798i | ||||
\(886\) | 39.8700 | − | 423.624i | 0.0450000 | − | 0.478131i | ||||
\(887\) | −1018.87 | + | 422.031i | −1.14867 | + | 0.475796i | −0.874088 | − | 0.485767i | \(-0.838540\pi\) |
−0.274584 | + | 0.961563i | \(0.588540\pi\) | |||||||
\(888\) | −676.374 | + | 20.1829i | −0.761683 | + | 0.0227285i | ||||
\(889\) | 66.3244 | − | 160.121i | 0.0746056 | − | 0.180114i | ||||
\(890\) | −567.356 | − | 300.104i | −0.637479 | − | 0.337195i | ||||
\(891\) | −501.216 | + | 135.299i | −0.562532 | + | 0.151850i | ||||
\(892\) | −252.249 | − | 1213.08i | −0.282790 | − | 1.35996i | ||||
\(893\) | 148.379 | − | 222.065i | 0.166158 | − | 0.248673i | ||||
\(894\) | −663.076 | + | 463.644i | −0.741696 | + | 0.518617i | ||||
\(895\) | −681.748 | −0.761730 | ||||||||
\(896\) | 42.9140 | + | 127.417i | 0.0478951 | + | 0.142206i | ||||
\(897\) | 438.019 | − | 243.689i | 0.488315 | − | 0.271671i | ||||
\(898\) | 78.8579 | + | 766.578i | 0.0878151 | + | 0.853650i | ||||
\(899\) | −158.775 | + | 237.623i | −0.176612 | + | 0.264319i | ||||
\(900\) | 1628.43 | + | 595.119i | 1.80937 | + | 0.661244i | ||||
\(901\) | −141.360 | − | 28.1183i | −0.156893 | − | 0.0312079i | ||||
\(902\) | −571.340 | − | 302.211i | −0.633414 | − | 0.335045i | ||||
\(903\) | −128.743 | + | 14.8712i | −0.142572 | + | 0.0164687i | ||||
\(904\) | 72.2717 | − | 139.546i | 0.0799466 | − | 0.154365i | ||||
\(905\) | 394.432 | − | 163.379i | 0.435837 | − | 0.180530i | ||||
\(906\) | −418.390 | − | 952.555i | −0.461799 | − | 1.05139i | ||||
\(907\) | −642.669 | − | 961.822i | −0.708566 | − | 1.06044i | −0.994757 | − | 0.102271i | \(-0.967389\pi\) |
0.286191 | − | 0.958173i | \(-0.407611\pi\) | |||||||
\(908\) | −808.049 | − | 326.527i | −0.889921 | − | 0.359611i | ||||
\(909\) | 1293.00 | + | 485.279i | 1.42244 | + | 0.533861i | ||||
\(910\) | −433.741 | − | 129.523i | −0.476638 | − | 0.142333i | ||||
\(911\) | 718.487 | − | 718.487i | 0.788680 | − | 0.788680i | −0.192598 | − | 0.981278i | \(-0.561691\pi\) |
0.981278 | + | 0.192598i | \(0.0616914\pi\) | |||||||
\(912\) | 1114.46 | − | 645.578i | 1.22200 | − | 0.707870i | ||||
\(913\) | 302.482 | − | 302.482i | 0.331305 | − | 0.331305i | ||||
\(914\) | 718.069 | + | 1329.52i | 0.785633 | + | 1.45461i | ||||
\(915\) | −375.187 | − | 441.794i | −0.410041 | − | 0.482835i | ||||
\(916\) | 1.68966 | + | 194.892i | 0.00184460 | + | 0.212765i | ||||
\(917\) | −72.8344 | − | 109.004i | −0.0794269 | − | 0.118871i | ||||
\(918\) | 567.815 | − | 426.183i | 0.618534 | − | 0.464251i | ||||
\(919\) | −944.061 | + | 391.043i | −1.02727 | + | 0.425509i | −0.831726 | − | 0.555186i | \(-0.812647\pi\) |
−0.195543 | + | 0.980695i | \(0.562647\pi\) | |||||||
\(920\) | −397.426 | + | 219.120i | −0.431985 | + | 0.238174i | ||||
\(921\) | 117.992 | + | 1021.48i | 0.128113 | + | 1.10910i | ||||
\(922\) | −388.326 | − | 1260.44i | −0.421178 | − | 1.36708i | ||||
\(923\) | −850.640 | − | 169.203i | −0.921603 | − | 0.183318i | ||||
\(924\) | −76.6856 | + | 25.4145i | −0.0829931 | + | 0.0275049i | ||||
\(925\) | −754.393 | + | 1129.03i | −0.815560 | + | 1.22057i | ||||
\(926\) | 695.368 | + | 565.647i | 0.750938 | + | 0.610850i | ||||
\(927\) | −94.9009 | − | 58.8911i | −0.102374 | − | 0.0635287i | ||||
\(928\) | −870.665 | − | 66.7370i | −0.938216 | − | 0.0719149i | ||||
\(929\) | −611.896 | −0.658661 | −0.329330 | − | 0.944215i | \(-0.606823\pi\) | ||||
−0.329330 | + | 0.944215i | \(0.606823\pi\) | |||||||
\(930\) | 93.6783 | − | 529.248i | 0.100729 | − | 0.569084i | ||||
\(931\) | 714.002 | − | 1068.58i | 0.766920 | − | 1.14778i | ||||
\(932\) | −640.080 | − | 940.200i | −0.686782 | − | 1.00880i | ||||
\(933\) | −321.488 | − | 998.976i | −0.344575 | − | 1.07071i | ||||
\(934\) | −127.802 | + | 39.3742i | −0.136833 | + | 0.0421565i | ||||
\(935\) | 275.824 | − | 665.897i | 0.294998 | − | 0.712189i | ||||
\(936\) | −1709.27 | + | 606.907i | −1.82615 | + | 0.648405i | ||||
\(937\) | 1681.16 | − | 696.360i | 1.79420 | − | 0.743180i | 0.805625 | − | 0.592426i | \(-0.201830\pi\) |
0.988571 | − | 0.150755i | \(-0.0481703\pi\) | |||||||
\(938\) | 24.9870 | − | 20.6882i | 0.0266386 | − | 0.0220557i | ||||
\(939\) | −419.023 | − | 214.987i | −0.446244 | − | 0.228953i | ||||
\(940\) | 238.706 | − | 242.881i | 0.253943 | − | 0.258384i | ||||
\(941\) | 215.768 | − | 42.9189i | 0.229296 | − | 0.0456099i | −0.0791047 | − | 0.996866i | \(-0.525206\pi\) |
0.308401 | + | 0.951256i | \(0.400206\pi\) | |||||||
\(942\) | −81.1050 | − | 51.7443i | −0.0860987 | − | 0.0549303i | ||||
\(943\) | 236.467 | − | 236.467i | 0.250760 | − | 0.250760i | ||||
\(944\) | −356.175 | − | 1641.35i | −0.377304 | − | 1.73872i | ||||
\(945\) | −179.511 | + | 163.155i | −0.189959 | + | 0.172651i | ||||
\(946\) | −150.849 | + | 505.155i | −0.159460 | + | 0.533991i | ||||
\(947\) | 268.195 | + | 1348.31i | 0.283205 | + | 1.42377i | 0.816259 | + | 0.577686i | \(0.196044\pi\) |
−0.533054 | + | 0.846081i | \(0.678956\pi\) | |||||||
\(948\) | −991.434 | + | 1272.90i | −1.04582 | + | 1.34273i | ||||
\(949\) | 801.875 | + | 1200.09i | 0.844968 | + | 1.26458i | ||||
\(950\) | 242.173 | − | 2573.12i | 0.254919 | − | 2.70855i | ||||
\(951\) | 972.124 | + | 770.797i | 1.02221 | + | 0.810512i | ||||
\(952\) | 84.4828 | − | 71.1917i | 0.0887424 | − | 0.0747812i | ||||
\(953\) | −319.346 | − | 132.277i | −0.335095 | − | 0.138801i | 0.208790 | − | 0.977960i | \(-0.433047\pi\) |
−0.543886 | + | 0.839159i | \(0.683047\pi\) | |||||||
\(954\) | 170.368 | − | 99.5614i | 0.178583 | − | 0.104362i | ||||
\(955\) | 161.600 | + | 32.1442i | 0.169214 | + | 0.0336588i | ||||
\(956\) | −589.345 | − | 386.440i | −0.616470 | − | 0.404226i | ||||
\(957\) | 42.6359 | − | 522.960i | 0.0445516 | − | 0.546458i | ||||
\(958\) | −112.082 | + | 11.5299i | −0.116996 | + | 0.0120353i | ||||
\(959\) | − | 10.7734i | − | 0.0112340i | ||||||
\(960\) | 1549.68 | − | 543.579i | 1.61425 | − | 0.566228i | ||||
\(961\) | 851.317 | 0.885866 | ||||||||
\(962\) | −145.367 | − | 1413.11i | −0.151109 | − | 1.46893i | ||||
\(963\) | −404.773 | − | 891.151i | −0.420325 | − | 0.925391i | ||||
\(964\) | −1101.81 | − | 722.470i | −1.14296 | − | 0.749450i | ||||
\(965\) | −344.417 | + | 1731.50i | −0.356909 | + | 1.79430i | ||||
\(966\) | −0.884461 | − | 41.7896i | −0.000915591 | − | 0.0432604i | ||||
\(967\) | −270.823 | + | 653.825i | −0.280065 | + | 0.676137i | −0.999837 | − | 0.0180739i | \(-0.994247\pi\) |
0.719771 | + | 0.694211i | \(0.244247\pi\) | |||||||
\(968\) | 54.3891 | − | 637.046i | 0.0561871 | − | 0.658105i | ||||
\(969\) | −829.274 | − | 657.531i | −0.855804 | − | 0.678567i | ||||
\(970\) | −994.379 | − | 93.5875i | −1.02513 | − | 0.0964819i | ||||
\(971\) | −506.128 | + | 338.184i | −0.521244 | + | 0.348284i | −0.788194 | − | 0.615426i | \(-0.788984\pi\) |
0.266951 | + | 0.963710i | \(0.413984\pi\) | |||||||
\(972\) | −194.746 | + | 952.291i | −0.200356 | + | 0.979723i | ||||
\(973\) | −98.4385 | + | 19.5806i | −0.101170 | + | 0.0201240i | ||||
\(974\) | −288.535 | − | 86.1621i | −0.296237 | − | 0.0884622i | ||||
\(975\) | −997.812 | + | 3500.32i | −1.02340 | + | 3.59007i | ||||
\(976\) | −355.632 | − | 64.3507i | −0.364377 | − | 0.0659331i | ||||
\(977\) | 168.466 | + | 168.466i | 0.172432 | + | 0.172432i | 0.788047 | − | 0.615615i | \(-0.211092\pi\) |
−0.615615 | + | 0.788047i | \(0.711092\pi\) | |||||||
\(978\) | 766.701 | + | 489.149i | 0.783948 | + | 0.500152i | ||||
\(979\) | −46.9144 | − | 235.854i | −0.0479207 | − | 0.240914i | ||||
\(980\) | 1148.66 | − | 1168.75i | 1.17210 | − | 1.19260i | ||||
\(981\) | 45.9894 | + | 1366.04i | 0.0468802 | + | 1.39250i | ||||
\(982\) | −12.3411 | − | 14.9054i | −0.0125673 | − | 0.0151786i | ||||
\(983\) | −338.233 | − | 816.567i | −0.344083 | − | 0.830689i | −0.997294 | − | 0.0735133i | \(-0.976579\pi\) |
0.653212 | − | 0.757175i | \(-0.273421\pi\) | |||||||
\(984\) | −985.686 | + | 702.024i | −1.00171 | + | 0.713439i | ||||
\(985\) | −338.302 | − | 140.129i | −0.343454 | − | 0.142263i | ||||
\(986\) | 211.264 | + | 685.730i | 0.214264 | + | 0.695467i | ||||
\(987\) | 9.60859 | + | 29.8572i | 0.00973514 | + | 0.0302505i | ||||
\(988\) | 1521.59 | + | 2235.03i | 1.54007 | + | 2.26218i | ||||
\(989\) | −226.799 | − | 151.543i | −0.229322 | − | 0.153228i | ||||
\(990\) | 322.106 | + | 932.736i | 0.325360 | + | 0.942157i | ||||
\(991\) | 1965.01i | 1.98286i | 0.130644 | + | 0.991429i | \(0.458295\pi\) | ||||
−0.130644 | + | 0.991429i | \(0.541705\pi\) | |||||||
\(992\) | −164.350 | − | 292.069i | −0.165675 | − | 0.294424i | ||||
\(993\) | −602.335 | + | 335.105i | −0.606581 | + | 0.337468i | ||||
\(994\) | −45.6397 | + | 56.1063i | −0.0459152 | + | 0.0564450i | ||||
\(995\) | 1941.64 | + | 1297.36i | 1.95140 | + | 1.30388i | ||||
\(996\) | −251.954 | − | 760.245i | −0.252966 | − | 0.763298i | ||||
\(997\) | −232.810 | + | 1170.41i | −0.233510 | + | 1.17394i | 0.668998 | + | 0.743264i | \(0.266723\pi\) |
−0.902509 | + | 0.430672i | \(0.858277\pi\) | |||||||
\(998\) | −1575.58 | + | 485.414i | −1.57873 | + | 0.486387i | ||||
\(999\) | −688.623 | − | 324.522i | −0.689313 | − | 0.324847i |
(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 | 192.3.q.a.5.3 | ✓ | 496 | |
3.2 | odd | 2 | inner | 192.3.q.a.5.60 | yes | 496 | |
64.13 | even | 16 | inner | 192.3.q.a.77.60 | yes | 496 | |
192.77 | odd | 16 | inner | 192.3.q.a.77.3 | yes | 496 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
192.3.q.a.5.3 | ✓ | 496 | 1.1 | even | 1 | trivial | |
192.3.q.a.5.60 | yes | 496 | 3.2 | odd | 2 | inner | |
192.3.q.a.77.3 | yes | 496 | 192.77 | odd | 16 | inner | |
192.3.q.a.77.60 | yes | 496 | 64.13 | even | 16 | inner |