Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [108,2,Mod(11,108)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(108, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([9, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("108.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 108 = 2^{2} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 108.l (of order \(18\), degree \(6\), 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: | \(0.862384341830\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 23.10 | ||
Character | \(\chi\) | \(=\) | 108.23 |
Dual form | 108.2.l.a.47.10 |
$q$-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 \(\left(\mathbb{Z}/108\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(55\) |
\(\chi(n)\) | \(e\left(\frac{11}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.438668 | + | 1.34446i | 0.310185 | + | 0.950676i | ||||
\(3\) | −0.644352 | − | 1.60773i | −0.372017 | − | 0.928226i | ||||
\(4\) | −1.61514 | + | 1.17954i | −0.807570 | + | 0.589771i | ||||
\(5\) | 3.32285 | + | 0.585909i | 1.48603 | + | 0.262026i | 0.856983 | − | 0.515344i | \(-0.172336\pi\) |
0.629043 | + | 0.777371i | \(0.283447\pi\) | |||||||
\(6\) | 1.87888 | − | 1.57157i | 0.767048 | − | 0.641589i | ||||
\(7\) | 1.72640 | + | 2.05745i | 0.652519 | + | 0.777641i | 0.986292 | − | 0.165012i | \(-0.0527663\pi\) |
−0.333773 | + | 0.942653i | \(0.608322\pi\) | |||||||
\(8\) | −2.29436 | − | 1.65406i | −0.811178 | − | 0.584800i | ||||
\(9\) | −2.16962 | + | 2.07189i | −0.723207 | + | 0.690631i | ||||
\(10\) | 0.669899 | + | 4.72446i | 0.211841 | + | 1.49401i | ||||
\(11\) | −0.506730 | − | 2.87381i | −0.152785 | − | 0.866486i | −0.960783 | − | 0.277301i | \(-0.910560\pi\) |
0.807998 | − | 0.589185i | \(-0.200551\pi\) | |||||||
\(12\) | 2.93711 | + | 1.83668i | 0.847871 | + | 0.530203i | ||||
\(13\) | 0.552703 | − | 0.201167i | 0.153292 | − | 0.0557938i | −0.264234 | − | 0.964458i | \(-0.585119\pi\) |
0.417527 | + | 0.908665i | \(0.362897\pi\) | |||||||
\(14\) | −2.00883 | + | 3.22361i | −0.536884 | + | 0.861547i | ||||
\(15\) | −1.19910 | − | 5.71980i | −0.309606 | − | 1.47685i | ||||
\(16\) | 1.21736 | − | 3.81025i | 0.304340 | − | 0.952563i | ||||
\(17\) | −6.36286 | − | 3.67360i | −1.54322 | − | 0.890979i | −0.998633 | − | 0.0522747i | \(-0.983353\pi\) |
−0.544588 | − | 0.838704i | \(-0.683314\pi\) | |||||||
\(18\) | −3.73732 | − | 2.00810i | −0.880895 | − | 0.473313i | ||||
\(19\) | −2.82795 | + | 1.63272i | −0.648776 | + | 0.374571i | −0.787987 | − | 0.615692i | \(-0.788877\pi\) |
0.139211 | + | 0.990263i | \(0.455543\pi\) | |||||||
\(20\) | −6.05798 | + | 2.97312i | −1.35461 | + | 0.664810i | ||||
\(21\) | 2.19542 | − | 4.10131i | 0.479079 | − | 0.894980i | ||||
\(22\) | 3.64143 | − | 1.94193i | 0.776356 | − | 0.414020i | ||||
\(23\) | −0.365077 | − | 0.306336i | −0.0761238 | − | 0.0638754i | 0.603932 | − | 0.797036i | \(-0.293600\pi\) |
−0.680056 | + | 0.733161i | \(0.738044\pi\) | |||||||
\(24\) | −1.18092 | + | 4.75452i | −0.241055 | + | 0.970511i | ||||
\(25\) | 5.99961 | + | 2.18368i | 1.19992 | + | 0.436736i | ||||
\(26\) | 0.512914 | + | 0.654840i | 0.100591 | + | 0.128425i | ||||
\(27\) | 4.72905 | + | 2.15315i | 0.910107 | + | 0.414374i | ||||
\(28\) | −5.21523 | − | 1.28670i | −0.985585 | − | 0.243164i | ||||
\(29\) | 1.49502 | − | 4.10753i | 0.277618 | − | 0.762749i | −0.720013 | − | 0.693960i | \(-0.755864\pi\) |
0.997631 | − | 0.0687888i | \(-0.0219134\pi\) | |||||||
\(30\) | 7.16403 | − | 4.12123i | 1.30797 | − | 0.752431i | ||||
\(31\) | −3.73778 | + | 4.45451i | −0.671325 | + | 0.800054i | −0.988964 | − | 0.148158i | \(-0.952666\pi\) |
0.317639 | + | 0.948212i | \(0.397110\pi\) | |||||||
\(32\) | 5.65675 | − | 0.0347450i | 0.999981 | − | 0.00614210i | ||||
\(33\) | −4.29381 | + | 2.66643i | −0.747457 | + | 0.464166i | ||||
\(34\) | 2.14782 | − | 10.1661i | 0.368348 | − | 1.74347i | ||||
\(35\) | 4.53111 | + | 7.84811i | 0.765897 | + | 1.32657i | ||||
\(36\) | 1.06036 | − | 5.90556i | 0.176727 | − | 0.984260i | ||||
\(37\) | −1.59532 | + | 2.76318i | −0.262269 | + | 0.454264i | −0.966845 | − | 0.255365i | \(-0.917804\pi\) |
0.704575 | + | 0.709629i | \(0.251138\pi\) | |||||||
\(38\) | −3.43565 | − | 3.08584i | −0.557336 | − | 0.500589i | ||||
\(39\) | −0.679558 | − | 0.758977i | −0.108816 | − | 0.121534i | ||||
\(40\) | −6.65468 | − | 6.84050i | −1.05220 | − | 1.08158i | ||||
\(41\) | −1.09875 | − | 3.01880i | −0.171596 | − | 0.471457i | 0.823847 | − | 0.566812i | \(-0.191823\pi\) |
−0.995443 | + | 0.0953554i | \(0.969601\pi\) | |||||||
\(42\) | 6.47711 | + | 1.15253i | 0.999440 | + | 0.177840i | ||||
\(43\) | 1.79304 | − | 0.316161i | 0.273436 | − | 0.0482141i | −0.0352488 | − | 0.999379i | \(-0.511222\pi\) |
0.308685 | + | 0.951164i | \(0.400111\pi\) | |||||||
\(44\) | 4.20822 | + | 4.04390i | 0.634413 | + | 0.609641i | ||||
\(45\) | −8.42328 | + | 5.61340i | −1.25567 | + | 0.836796i | ||||
\(46\) | 0.251708 | − | 0.625211i | 0.0371124 | − | 0.0921823i | ||||
\(47\) | 0.940800 | − | 0.789425i | 0.137230 | − | 0.115149i | −0.571589 | − | 0.820540i | \(-0.693673\pi\) |
0.708819 | + | 0.705391i | \(0.249228\pi\) | |||||||
\(48\) | −6.91029 | + | 0.497951i | −0.997414 | + | 0.0718730i | ||||
\(49\) | −0.0370819 | + | 0.210302i | −0.00529741 | + | 0.0300431i | ||||
\(50\) | −0.304032 | + | 9.02414i | −0.0429965 | + | 1.27621i | ||||
\(51\) | −1.80625 | + | 12.5969i | −0.252926 | + | 1.76392i | ||||
\(52\) | −0.655407 | + | 0.976849i | −0.0908886 | + | 0.135465i | ||||
\(53\) | 7.37157i | 1.01256i | 0.862368 | + | 0.506282i | \(0.168980\pi\) | ||||
−0.862368 | + | 0.506282i | \(0.831020\pi\) | |||||||
\(54\) | −0.820338 | + | 7.30254i | −0.111634 | + | 0.993749i | ||||
\(55\) | − | 9.84615i | − | 1.32765i | ||||||
\(56\) | −0.557836 | − | 7.57609i | −0.0745440 | − | 1.01240i | ||||
\(57\) | 4.44717 | + | 3.49455i | 0.589042 | + | 0.462864i | ||||
\(58\) | 6.17822 | + | 0.208150i | 0.811240 | + | 0.0273314i | ||||
\(59\) | 0.718733 | − | 4.07614i | 0.0935710 | − | 0.530668i | −0.901605 | − | 0.432561i | \(-0.857610\pi\) |
0.995176 | − | 0.0981070i | \(-0.0312787\pi\) | |||||||
\(60\) | 8.68346 | + | 7.82389i | 1.12103 | + | 1.01006i | ||||
\(61\) | 0.421725 | − | 0.353869i | 0.0539963 | − | 0.0453083i | −0.615390 | − | 0.788223i | \(-0.711002\pi\) |
0.669386 | + | 0.742914i | \(0.266557\pi\) | |||||||
\(62\) | −7.62855 | − | 3.07124i | −0.968827 | − | 0.390048i | ||||
\(63\) | −8.00845 | − | 0.886960i | −1.00897 | − | 0.111746i | ||||
\(64\) | 2.52815 | + | 7.59002i | 0.316018 | + | 0.948753i | ||||
\(65\) | 1.95442 | − | 0.344616i | 0.242415 | − | 0.0427444i | ||||
\(66\) | −5.46847 | − | 4.60318i | −0.673122 | − | 0.566612i | ||||
\(67\) | 3.46492 | + | 9.51978i | 0.423307 | + | 1.16303i | 0.949803 | + | 0.312849i | \(0.101283\pi\) |
−0.526496 | + | 0.850178i | \(0.676495\pi\) | |||||||
\(68\) | 14.6101 | − | 1.57188i | 1.77173 | − | 0.190619i | ||||
\(69\) | −0.257269 | + | 0.784335i | −0.0309715 | + | 0.0944228i | ||||
\(70\) | −8.56381 | + | 9.53460i | −1.02357 | + | 1.13960i | ||||
\(71\) | 0.616505 | − | 1.06782i | 0.0731657 | − | 0.126727i | −0.827121 | − | 0.562023i | \(-0.810023\pi\) |
0.900287 | + | 0.435297i | \(0.143356\pi\) | |||||||
\(72\) | 8.40493 | − | 1.16497i | 0.990531 | − | 0.137293i | ||||
\(73\) | 1.18077 | + | 2.04515i | 0.138198 | + | 0.239366i | 0.926815 | − | 0.375519i | \(-0.122536\pi\) |
−0.788616 | + | 0.614885i | \(0.789202\pi\) | |||||||
\(74\) | −4.41480 | − | 0.932727i | −0.513210 | − | 0.108427i | ||||
\(75\) | −0.355081 | − | 11.0528i | −0.0410012 | − | 1.27627i | ||||
\(76\) | 2.64168 | − | 5.97275i | 0.303021 | − | 0.685121i | ||||
\(77\) | 5.03789 | − | 6.00392i | 0.574121 | − | 0.684210i | ||||
\(78\) | 0.722313 | − | 1.24658i | 0.0817858 | − | 0.141147i | ||||
\(79\) | 3.33584 | − | 9.16514i | 0.375311 | − | 1.03116i | −0.597965 | − | 0.801522i | \(-0.704024\pi\) |
0.973276 | − | 0.229637i | \(-0.0737538\pi\) | |||||||
\(80\) | 6.27757 | − | 11.9477i | 0.701854 | − | 1.33579i | ||||
\(81\) | 0.414521 | − | 8.99045i | 0.0460578 | − | 0.998939i | ||||
\(82\) | 3.57666 | − | 2.80148i | 0.394976 | − | 0.309371i | ||||
\(83\) | 16.8988 | + | 6.15067i | 1.85489 | + | 0.675124i | 0.982487 | + | 0.186333i | \(0.0596605\pi\) |
0.872401 | + | 0.488790i | \(0.162562\pi\) | |||||||
\(84\) | 1.29177 | + | 9.21379i | 0.140943 | + | 1.00531i | ||||
\(85\) | −18.9905 | − | 15.9349i | −2.05981 | − | 1.72838i | ||||
\(86\) | 1.21161 | + | 2.27198i | 0.130652 | + | 0.244994i | ||||
\(87\) | −7.56713 | + | 0.243100i | −0.811282 | + | 0.0260630i | ||||
\(88\) | −3.59084 | + | 7.43171i | −0.382785 | + | 0.792223i | ||||
\(89\) | −4.81205 | + | 2.77824i | −0.510076 | + | 0.294493i | −0.732865 | − | 0.680374i | \(-0.761817\pi\) |
0.222789 | + | 0.974867i | \(0.428484\pi\) | |||||||
\(90\) | −11.2420 | − | 8.86234i | −1.18501 | − | 0.934173i | ||||
\(91\) | 1.36808 | + | 0.789860i | 0.143413 | + | 0.0827998i | ||||
\(92\) | 0.950986 | + | 0.0641520i | 0.0991472 | + | 0.00668831i | ||||
\(93\) | 9.57011 | + | 3.13909i | 0.992375 | + | 0.325508i | ||||
\(94\) | 1.47405 | + | 0.918571i | 0.152036 | + | 0.0947434i | ||||
\(95\) | −10.3535 | + | 3.76836i | −1.06224 | + | 0.386626i | ||||
\(96\) | −3.70079 | − | 9.07216i | −0.377711 | − | 0.925924i | ||||
\(97\) | 1.83865 | + | 10.4275i | 0.186687 | + | 1.05875i | 0.923769 | + | 0.382951i | \(0.125092\pi\) |
−0.737082 | + | 0.675803i | \(0.763797\pi\) | |||||||
\(98\) | −0.299009 | + | 0.0423976i | −0.0302045 | + | 0.00428280i | ||||
\(99\) | 7.05364 | + | 5.18519i | 0.708917 | + | 0.521131i | ||||
\(100\) | −12.2660 | + | 3.54984i | −1.22660 | + | 0.354984i | ||||
\(101\) | 5.49760 | + | 6.55178i | 0.547032 | + | 0.651927i | 0.966749 | − | 0.255728i | \(-0.0823152\pi\) |
−0.419717 | + | 0.907655i | \(0.637871\pi\) | |||||||
\(102\) | −17.7283 | + | 3.09741i | −1.75537 | + | 0.306690i | ||||
\(103\) | −16.7001 | − | 2.94469i | −1.64551 | − | 0.290149i | −0.727326 | − | 0.686292i | \(-0.759237\pi\) |
−0.918189 | + | 0.396144i | \(0.870348\pi\) | |||||||
\(104\) | −1.60084 | − | 0.452656i | −0.156975 | − | 0.0443865i | ||||
\(105\) | 9.69805 | − | 12.3418i | 0.946433 | − | 1.20443i | ||||
\(106\) | −9.91078 | + | 3.23367i | −0.962620 | + | 0.314082i | ||||
\(107\) | −3.73466 | −0.361043 | −0.180522 | − | 0.983571i | \(-0.557779\pi\) | ||||
−0.180522 | + | 0.983571i | \(0.557779\pi\) | |||||||
\(108\) | −10.1778 | + | 2.10048i | −0.979361 | + | 0.202119i | ||||
\(109\) | 10.6061 | 1.01588 | 0.507940 | − | 0.861393i | \(-0.330407\pi\) | ||||
0.507940 | + | 0.861393i | \(0.330407\pi\) | |||||||
\(110\) | 13.2377 | − | 4.31919i | 1.26217 | − | 0.411819i | ||||
\(111\) | 5.47041 | + | 0.784396i | 0.519228 | + | 0.0744516i | ||||
\(112\) | 9.94104 | − | 4.07338i | 0.939340 | − | 0.384898i | ||||
\(113\) | −5.75136 | − | 1.01412i | −0.541042 | − | 0.0954004i | −0.103553 | − | 0.994624i | \(-0.533021\pi\) |
−0.437489 | + | 0.899224i | \(0.644132\pi\) | |||||||
\(114\) | −2.74745 | + | 7.51198i | −0.257322 | + | 0.703561i | ||||
\(115\) | −1.03361 | − | 1.23181i | −0.0963848 | − | 0.114867i | ||||
\(116\) | 2.43034 | + | 8.39768i | 0.225651 | + | 0.779705i | ||||
\(117\) | −0.782359 | + | 1.58160i | −0.0723291 | + | 0.146219i | ||||
\(118\) | 5.79548 | − | 0.821763i | 0.533517 | − | 0.0756494i | ||||
\(119\) | −3.42662 | − | 19.4333i | −0.314118 | − | 1.78145i | ||||
\(120\) | −6.70975 | + | 15.1067i | −0.612514 | + | 1.37904i | ||||
\(121\) | 2.33461 | − | 0.849729i | 0.212237 | − | 0.0772481i | ||||
\(122\) | 0.660760 | + | 0.411761i | 0.0598224 | + | 0.0372791i | ||||
\(123\) | −4.14544 | + | 3.71167i | −0.373782 | + | 0.334670i | ||||
\(124\) | 0.782755 | − | 11.6035i | 0.0702935 | − | 1.04203i | ||||
\(125\) | 4.04606 | + | 2.33599i | 0.361890 | + | 0.208937i | ||||
\(126\) | −2.32057 | − | 11.1561i | −0.206733 | − | 0.993865i | ||||
\(127\) | −1.06513 | + | 0.614951i | −0.0945147 | + | 0.0545681i | −0.546512 | − | 0.837451i | \(-0.684045\pi\) |
0.451998 | + | 0.892019i | \(0.350712\pi\) | |||||||
\(128\) | −9.09546 | + | 6.72849i | −0.803933 | + | 0.594720i | ||||
\(129\) | −1.66365 | − | 2.67901i | −0.146476 | − | 0.235874i | ||||
\(130\) | 1.32066 | + | 2.47646i | 0.115830 | + | 0.217200i | ||||
\(131\) | −13.5213 | − | 11.3457i | −1.18136 | − | 0.991278i | −0.999969 | − | 0.00786658i | \(-0.997496\pi\) |
−0.181390 | − | 0.983411i | \(-0.558060\pi\) | |||||||
\(132\) | 3.78994 | − | 9.37140i | 0.329872 | − | 0.815675i | ||||
\(133\) | −8.24140 | − | 2.99962i | −0.714620 | − | 0.260100i | ||||
\(134\) | −11.2790 | + | 8.83446i | −0.974358 | + | 0.763181i | ||||
\(135\) | 14.4524 | + | 9.92540i | 1.24387 | + | 0.854242i | ||||
\(136\) | 8.52231 | + | 18.9531i | 0.730782 | + | 1.62522i | ||||
\(137\) | −3.54986 | + | 9.75317i | −0.303285 | + | 0.833269i | 0.690639 | + | 0.723200i | \(0.257329\pi\) |
−0.993924 | + | 0.110069i | \(0.964893\pi\) | |||||||
\(138\) | −1.16736 | − | 0.00182513i | −0.0993724 | − | 0.000155365i | ||||
\(139\) | 14.0279 | − | 16.7178i | 1.18983 | − | 1.41798i | 0.304820 | − | 0.952410i | \(-0.401404\pi\) |
0.885009 | − | 0.465573i | \(-0.154152\pi\) | |||||||
\(140\) | −16.5756 | − | 7.33117i | −1.40089 | − | 0.619597i | ||||
\(141\) | −1.87539 | − | 1.00389i | −0.157936 | − | 0.0845427i | ||||
\(142\) | 1.70608 | + | 0.360448i | 0.143171 | + | 0.0302482i | ||||
\(143\) | −0.858188 | − | 1.48642i | −0.0717653 | − | 0.124301i | ||||
\(144\) | 5.25323 | + | 10.7891i | 0.437769 | + | 0.899088i | ||||
\(145\) | 7.37437 | − | 12.7728i | 0.612408 | − | 1.06072i | ||||
\(146\) | −2.23165 | + | 2.48463i | −0.184693 | + | 0.205630i | ||||
\(147\) | 0.362003 | − | 0.0758905i | 0.0298575 | − | 0.00625934i | ||||
\(148\) | −0.682616 | − | 6.34467i | −0.0561107 | − | 0.521529i | ||||
\(149\) | 1.27723 | + | 3.50915i | 0.104635 | + | 0.287481i | 0.980951 | − | 0.194255i | \(-0.0622288\pi\) |
−0.876317 | + | 0.481736i | \(0.840007\pi\) | |||||||
\(150\) | 14.7043 | − | 5.32592i | 1.20060 | − | 0.434859i | ||||
\(151\) | 14.3762 | − | 2.53492i | 1.16992 | − | 0.206289i | 0.445265 | − | 0.895399i | \(-0.353109\pi\) |
0.724657 | + | 0.689110i | \(0.241998\pi\) | |||||||
\(152\) | 9.18894 | + | 0.931571i | 0.745321 | + | 0.0755604i | ||||
\(153\) | 21.4163 | − | 5.21284i | 1.73141 | − | 0.421433i | ||||
\(154\) | 10.2820 | + | 4.13951i | 0.828546 | + | 0.333571i | ||||
\(155\) | −15.0300 | + | 12.6117i | −1.20724 | + | 1.01300i | ||||
\(156\) | 1.99283 | + | 0.424286i | 0.159554 | + | 0.0339701i | ||||
\(157\) | −2.89506 | + | 16.4187i | −0.231051 | + | 1.31036i | 0.619722 | + | 0.784822i | \(0.287245\pi\) |
−0.850773 | + | 0.525534i | \(0.823866\pi\) | |||||||
\(158\) | 13.7855 | + | 0.464445i | 1.09671 | + | 0.0369493i | ||||
\(159\) | 11.8515 | − | 4.74988i | 0.939888 | − | 0.376690i | ||||
\(160\) | 18.8169 | + | 3.19889i | 1.48761 | + | 0.252894i | ||||
\(161\) | − | 1.27998i | − | 0.100877i | ||||||
\(162\) | 12.2691 | − | 3.38652i | 0.963954 | − | 0.266070i | ||||
\(163\) | − | 2.78256i | − | 0.217947i | −0.994045 | − | 0.108973i | \(-0.965244\pi\) | ||
0.994045 | − | 0.108973i | \(-0.0347563\pi\) | |||||||
\(164\) | 5.33544 | + | 3.57976i | 0.416628 | + | 0.279532i | ||||
\(165\) | −15.8300 | + | 6.34438i | −1.23236 | + | 0.493910i | ||||
\(166\) | −0.856352 | + | 25.4179i | −0.0664658 | + | 1.97281i | ||||
\(167\) | −2.46126 | + | 13.9585i | −0.190458 | + | 1.08014i | 0.728282 | + | 0.685278i | \(0.240319\pi\) |
−0.918740 | + | 0.394863i | \(0.870792\pi\) | |||||||
\(168\) | −11.8209 | + | 5.77852i | −0.912003 | + | 0.445822i | ||||
\(169\) | −9.69357 | + | 8.13387i | −0.745659 | + | 0.625682i | ||||
\(170\) | 13.0933 | − | 32.5220i | 1.00421 | − | 2.49433i | ||||
\(171\) | 2.75276 | − | 9.40158i | 0.210509 | − | 0.718957i | ||||
\(172\) | −2.52308 | + | 2.62561i | −0.192383 | + | 0.200201i | ||||
\(173\) | 1.21493 | − | 0.214226i | 0.0923698 | − | 0.0162873i | −0.127272 | − | 0.991868i | \(-0.540622\pi\) |
0.219642 | + | 0.975581i | \(0.429511\pi\) | |||||||
\(174\) | −3.64630 | − | 10.0671i | −0.276425 | − | 0.763182i | ||||
\(175\) | 5.86494 | + | 16.1138i | 0.443348 | + | 1.21809i | ||||
\(176\) | −11.5668 | − | 1.56769i | −0.871882 | − | 0.118169i | ||||
\(177\) | −7.01646 | + | 1.47093i | −0.527389 | + | 0.110562i | ||||
\(178\) | −5.84612 | − | 5.25088i | −0.438185 | − | 0.393570i | ||||
\(179\) | −8.60015 | + | 14.8959i | −0.642805 | + | 1.11337i | 0.341998 | + | 0.939701i | \(0.388896\pi\) |
−0.984804 | + | 0.173671i | \(0.944437\pi\) | |||||||
\(180\) | 6.98354 | − | 19.0020i | 0.520523 | − | 1.41633i | ||||
\(181\) | −10.8176 | − | 18.7366i | −0.804065 | − | 1.39268i | −0.916920 | − | 0.399071i | \(-0.869333\pi\) |
0.112855 | − | 0.993611i | \(-0.464000\pi\) | |||||||
\(182\) | −0.461803 | + | 2.18581i | −0.0342311 | + | 0.162023i | ||||
\(183\) | −0.840667 | − | 0.450005i | −0.0621439 | − | 0.0332654i | ||||
\(184\) | 0.330918 | + | 1.30670i | 0.0243956 | + | 0.0963315i | ||||
\(185\) | −6.91999 | + | 8.24693i | −0.508768 | + | 0.606326i | ||||
\(186\) | −0.0222694 | + | 14.2436i | −0.00163287 | + | 1.04439i | ||||
\(187\) | −7.33297 | + | 20.1472i | −0.536240 | + | 1.47331i | ||||
\(188\) | −0.588364 | + | 2.38474i | −0.0429109 | + | 0.173925i | ||||
\(189\) | 3.73426 | + | 13.4470i | 0.271627 | + | 0.978123i | ||||
\(190\) | −9.60815 | − | 12.2668i | −0.697048 | − | 0.889925i | ||||
\(191\) | −4.48414 | − | 1.63210i | −0.324461 | − | 0.118094i | 0.174654 | − | 0.984630i | \(-0.444119\pi\) |
−0.499115 | + | 0.866536i | \(0.666342\pi\) | |||||||
\(192\) | 10.5737 | − | 8.95523i | 0.763093 | − | 0.646288i | ||||
\(193\) | 6.94036 | + | 5.82365i | 0.499578 | + | 0.419196i | 0.857444 | − | 0.514577i | \(-0.172051\pi\) |
−0.357866 | + | 0.933773i | \(0.616496\pi\) | |||||||
\(194\) | −13.2128 | + | 7.04621i | −0.948625 | + | 0.505888i | ||||
\(195\) | −1.81338 | − | 2.92013i | −0.129859 | − | 0.209115i | ||||
\(196\) | −0.188167 | − | 0.383407i | −0.0134405 | − | 0.0273862i | ||||
\(197\) | 1.80241 | − | 1.04062i | 0.128416 | − | 0.0741411i | −0.434416 | − | 0.900712i | \(-0.643045\pi\) |
0.562832 | + | 0.826571i | \(0.309712\pi\) | |||||||
\(198\) | −3.87707 | + | 11.7579i | −0.275532 | + | 0.835598i | ||||
\(199\) | −9.74989 | − | 5.62910i | −0.691151 | − | 0.399036i | 0.112892 | − | 0.993607i | \(-0.463989\pi\) |
−0.804043 | + | 0.594571i | \(0.797322\pi\) | |||||||
\(200\) | −10.1533 | − | 14.9339i | −0.717947 | − | 1.05598i | ||||
\(201\) | 13.0727 | − | 11.7048i | 0.922074 | − | 0.825589i | ||||
\(202\) | −6.39699 | + | 10.2654i | −0.450090 | + | 0.722268i | ||||
\(203\) | 11.0320 | − | 4.01533i | 0.774296 | − | 0.281821i | ||||
\(204\) | −11.9412 | − | 22.4763i | −0.836051 | − | 1.57366i | ||||
\(205\) | −1.88225 | − | 10.6748i | −0.131462 | − | 0.745560i | ||||
\(206\) | −3.36681 | − | 23.7444i | −0.234577 | − | 1.65435i | ||||
\(207\) | 1.42677 | − | 0.0917670i | 0.0991676 | − | 0.00637825i | ||||
\(208\) | −0.0936603 | − | 2.35083i | −0.00649417 | − | 0.163001i | ||||
\(209\) | 6.12512 | + | 7.29964i | 0.423684 | + | 0.504926i | ||||
\(210\) | 20.8472 | + | 7.62470i | 1.43859 | + | 0.526154i | ||||
\(211\) | 5.42064 | + | 0.955805i | 0.373172 | + | 0.0658003i | 0.357089 | − | 0.934070i | \(-0.383769\pi\) |
0.0160832 | + | 0.999871i | \(0.494880\pi\) | |||||||
\(212\) | −8.69508 | − | 11.9061i | −0.597181 | − | 0.817716i | ||||
\(213\) | −2.11401 | − | 0.303126i | −0.144850 | − | 0.0207699i | ||||
\(214\) | −1.63828 | − | 5.02110i | −0.111990 | − | 0.343235i | ||||
\(215\) | 6.14325 | 0.418966 | ||||||||
\(216\) | −7.28869 | − | 12.7622i | −0.495933 | − | 0.868361i | ||||
\(217\) | −15.6178 | −1.06021 | ||||||||
\(218\) | 4.65255 | + | 14.2595i | 0.315111 | + | 0.965773i | ||||
\(219\) | 2.52723 | − | 3.21615i | 0.170774 | − | 0.217327i | ||||
\(220\) | 11.6140 | + | 15.9029i | 0.783012 | + | 1.07217i | ||||
\(221\) | −4.25578 | − | 0.750408i | −0.286275 | − | 0.0504779i | ||||
\(222\) | 1.34510 | + | 7.69883i | 0.0902774 | + | 0.516711i | ||||
\(223\) | 3.51114 | + | 4.18441i | 0.235123 | + | 0.280209i | 0.870685 | − | 0.491841i | \(-0.163676\pi\) |
−0.635562 | + | 0.772050i | \(0.719231\pi\) | |||||||
\(224\) | 9.83731 | + | 11.5785i | 0.657283 | + | 0.773619i | ||||
\(225\) | −17.5412 | + | 7.69279i | −1.16942 | + | 0.512853i | ||||
\(226\) | −1.15949 | − | 8.17733i | −0.0771284 | − | 0.543948i | ||||
\(227\) | −0.257802 | − | 1.46207i | −0.0171109 | − | 0.0970410i | 0.975056 | − | 0.221958i | \(-0.0712447\pi\) |
−0.992167 | + | 0.124917i | \(0.960134\pi\) | |||||||
\(228\) | −11.3048 | − | 0.398563i | −0.748676 | − | 0.0263955i | ||||
\(229\) | 24.4836 | − | 8.91131i | 1.61792 | − | 0.588876i | 0.634938 | − | 0.772563i | \(-0.281026\pi\) |
0.982985 | + | 0.183688i | \(0.0588035\pi\) | |||||||
\(230\) | 1.20271 | − | 1.93001i | 0.0793042 | − | 0.127261i | ||||
\(231\) | −12.8989 | − | 4.23095i | −0.848684 | − | 0.278376i | ||||
\(232\) | −10.2242 | + | 6.95128i | −0.671253 | + | 0.456374i | ||||
\(233\) | 5.81401 | + | 3.35672i | 0.380889 | + | 0.219906i | 0.678205 | − | 0.734873i | \(-0.262758\pi\) |
−0.297316 | + | 0.954779i | \(0.596092\pi\) | |||||||
\(234\) | −2.46959 | − | 0.358053i | −0.161442 | − | 0.0234067i | ||||
\(235\) | 3.58867 | − | 2.07192i | 0.234099 | − | 0.135157i | ||||
\(236\) | 3.64712 | + | 7.43131i | 0.237407 | + | 0.483737i | ||||
\(237\) | −16.8846 | + | 0.542429i | −1.09677 | + | 0.0352346i | ||||
\(238\) | 24.6242 | − | 13.1317i | 1.59615 | − | 0.851204i | ||||
\(239\) | 15.7014 | + | 13.1750i | 1.01564 | + | 0.852223i | 0.989073 | − | 0.147424i | \(-0.0470982\pi\) |
0.0265665 | + | 0.999647i | \(0.491543\pi\) | |||||||
\(240\) | −23.2536 | − | 2.39418i | −1.50102 | − | 0.154544i | ||||
\(241\) | −11.8674 | − | 4.31940i | −0.764449 | − | 0.278237i | −0.0697765 | − | 0.997563i | \(-0.522229\pi\) |
−0.694673 | + | 0.719326i | \(0.744451\pi\) | |||||||
\(242\) | 2.16654 | + | 2.76604i | 0.139271 | + | 0.177808i | ||||
\(243\) | −14.7214 | + | 5.12657i | −0.944375 | + | 0.328870i | ||||
\(244\) | −0.263741 | + | 1.06899i | −0.0168843 | + | 0.0684351i | ||||
\(245\) | −0.246436 | + | 0.677076i | −0.0157442 | + | 0.0432568i | ||||
\(246\) | −6.80866 | − | 3.94519i | −0.434104 | − | 0.251536i | ||||
\(247\) | −1.23456 | + | 1.47130i | −0.0785535 | + | 0.0936164i | ||||
\(248\) | 15.9438 | − | 4.03771i | 1.01243 | − | 0.256395i | ||||
\(249\) | −1.00014 | − | 31.1320i | −0.0633813 | − | 1.97291i | ||||
\(250\) | −1.36577 | + | 6.46448i | −0.0863789 | + | 0.408850i | ||||
\(251\) | −6.38939 | − | 11.0668i | −0.403295 | − | 0.698527i | 0.590827 | − | 0.806799i | \(-0.298802\pi\) |
−0.994121 | + | 0.108272i | \(0.965468\pi\) | |||||||
\(252\) | 13.9810 | − | 8.01374i | 0.880719 | − | 0.504818i | ||||
\(253\) | −0.695355 | + | 1.20439i | −0.0437166 | + | 0.0757194i | ||||
\(254\) | −1.29401 | − | 1.16226i | −0.0811936 | − | 0.0729266i | ||||
\(255\) | −13.3825 | + | 40.7993i | −0.838048 | + | 2.55495i | ||||
\(256\) | −13.0361 | − | 9.27690i | −0.814754 | − | 0.579806i | ||||
\(257\) | −3.40030 | − | 9.34225i | −0.212105 | − | 0.582754i | 0.787324 | − | 0.616539i | \(-0.211466\pi\) |
−0.999429 | + | 0.0337856i | \(0.989244\pi\) | |||||||
\(258\) | 2.87203 | − | 3.41191i | 0.178805 | − | 0.212416i | ||||
\(259\) | −8.43926 | + | 1.48807i | −0.524390 | + | 0.0924641i | ||||
\(260\) | −2.75017 | + | 2.86192i | −0.170558 | + | 0.177489i | ||||
\(261\) | 5.26673 | + | 12.0093i | 0.326003 | + | 0.743357i | ||||
\(262\) | 9.32247 | − | 23.1558i | 0.575944 | − | 1.43057i | ||||
\(263\) | 14.9780 | − | 12.5681i | 0.923586 | − | 0.774981i | −0.0510689 | − | 0.998695i | \(-0.516263\pi\) |
0.974655 | + | 0.223715i | \(0.0718184\pi\) | |||||||
\(264\) | 14.2620 | + | 0.984492i | 0.877764 | + | 0.0605913i | ||||
\(265\) | −4.31907 | + | 24.4947i | −0.265318 | + | 1.50470i | ||||
\(266\) | 0.417634 | − | 12.3961i | 0.0256068 | − | 0.760051i | ||||
\(267\) | 7.56732 | + | 5.94633i | 0.463112 | + | 0.363910i | ||||
\(268\) | −16.8253 | − | 11.2888i | −1.02777 | − | 0.689571i | ||||
\(269\) | − | 30.3293i | − | 1.84921i | −0.380930 | − | 0.924604i | \(-0.624396\pi\) | ||
0.380930 | − | 0.924604i | \(-0.375604\pi\) | |||||||
\(270\) | −7.00449 | + | 23.7846i | −0.426279 | + | 1.44749i | ||||
\(271\) | 19.1257i | 1.16181i | 0.813973 | + | 0.580903i | \(0.197301\pi\) | ||||
−0.813973 | + | 0.580903i | \(0.802699\pi\) | |||||||
\(272\) | −21.7432 | + | 19.7720i | −1.31838 | + | 1.19885i | ||||
\(273\) | 0.388362 | − | 2.70845i | 0.0235048 | − | 0.163923i | ||||
\(274\) | −14.6699 | − | 0.494244i | −0.886244 | − | 0.0298583i | ||||
\(275\) | 3.23530 | − | 18.3483i | 0.195096 | − | 1.10644i | ||||
\(276\) | −0.509630 | − | 1.57027i | −0.0306761 | − | 0.0945192i | ||||
\(277\) | 7.54011 | − | 6.32690i | 0.453041 | − | 0.380147i | −0.387522 | − | 0.921861i | \(-0.626669\pi\) |
0.840563 | + | 0.541714i | \(0.182224\pi\) | |||||||
\(278\) | 28.6299 | + | 11.5264i | 1.71711 | + | 0.691305i | ||||
\(279\) | −1.11970 | − | 17.4089i | −0.0670348 | − | 1.04224i | ||||
\(280\) | 2.58529 | − | 25.5011i | 0.154501 | − | 1.52398i | ||||
\(281\) | −22.8259 | + | 4.02483i | −1.36168 | + | 0.240101i | −0.806306 | − | 0.591499i | \(-0.798537\pi\) |
−0.555375 | + | 0.831600i | \(0.687425\pi\) | |||||||
\(282\) | 0.527014 | − | 2.96176i | 0.0313832 | − | 0.176370i | ||||
\(283\) | −5.96637 | − | 16.3925i | −0.354664 | − | 0.974432i | −0.980851 | − | 0.194759i | \(-0.937608\pi\) |
0.626187 | − | 0.779673i | \(-0.284615\pi\) | |||||||
\(284\) | 0.263794 | + | 2.45187i | 0.0156533 | + | 0.145492i | ||||
\(285\) | 12.7298 | + | 14.2175i | 0.754049 | + | 0.842172i | ||||
\(286\) | 1.62198 | − | 1.80584i | 0.0959096 | − | 0.106782i | ||||
\(287\) | 4.31412 | − | 7.47228i | 0.254655 | − | 0.441075i | ||||
\(288\) | −12.2010 | + | 11.7956i | −0.718952 | + | 0.695060i | ||||
\(289\) | 18.4907 | + | 32.0268i | 1.08769 | + | 1.88393i | ||||
\(290\) | 20.4074 | + | 4.31153i | 1.19836 | + | 0.253182i | ||||
\(291\) | 15.5799 | − | 9.67505i | 0.913312 | − | 0.567162i | ||||
\(292\) | −4.31944 | − | 1.91044i | −0.252776 | − | 0.111800i | ||||
\(293\) | 12.2291 | − | 14.5741i | 0.714431 | − | 0.851426i | −0.279646 | − | 0.960103i | \(-0.590217\pi\) |
0.994077 | + | 0.108678i | \(0.0346616\pi\) | |||||||
\(294\) | 0.260831 | + | 0.453408i | 0.0152120 | + | 0.0264433i | ||||
\(295\) | 4.77649 | − | 13.1233i | 0.278098 | − | 0.764068i | ||||
\(296\) | 8.23071 | − | 3.70095i | 0.478400 | − | 0.215114i | ||||
\(297\) | 3.79139 | − | 14.6815i | 0.219999 | − | 0.851905i | ||||
\(298\) | −4.15763 | + | 3.25653i | −0.240845 | + | 0.188646i | ||||
\(299\) | −0.263404 | − | 0.0958711i | −0.0152330 | − | 0.00554437i | ||||
\(300\) | 13.6108 | + | 17.4331i | 0.785820 | + | 1.00650i | ||||
\(301\) | 3.74599 | + | 3.14326i | 0.215915 | + | 0.181174i | ||||
\(302\) | 9.71449 | + | 18.2163i | 0.559006 | + | 1.04823i | ||||
\(303\) | 6.99114 | − | 13.0603i | 0.401631 | − | 0.750297i | ||||
\(304\) | 2.77843 | + | 12.7628i | 0.159354 | + | 0.731997i | ||||
\(305\) | 1.60867 | − | 0.928763i | 0.0921119 | − | 0.0531808i | ||||
\(306\) | 16.4031 | + | 26.5066i | 0.937703 | + | 1.51528i | ||||
\(307\) | −14.3110 | − | 8.26248i | −0.816773 | − | 0.471564i | 0.0325291 | − | 0.999471i | \(-0.489644\pi\) |
−0.849303 | + | 0.527906i | \(0.822977\pi\) | |||||||
\(308\) | −1.05502 | + | 15.6396i | −0.0601154 | + | 0.891148i | ||||
\(309\) | 6.02649 | + | 28.7468i | 0.342835 | + | 1.63535i | ||||
\(310\) | −23.5491 | − | 14.6749i | −1.33750 | − | 0.833479i | ||||
\(311\) | 1.95536 | − | 0.711694i | 0.110879 | − | 0.0403565i | −0.285985 | − | 0.958234i | \(-0.592321\pi\) |
0.396864 | + | 0.917878i | \(0.370099\pi\) | |||||||
\(312\) | 0.303754 | + | 2.86540i | 0.0171967 | + | 0.162221i | ||||
\(313\) | −0.0264293 | − | 0.149888i | −0.00149387 | − | 0.00847218i | 0.984052 | − | 0.177883i | \(-0.0569248\pi\) |
−0.985546 | + | 0.169410i | \(0.945814\pi\) | |||||||
\(314\) | −23.3442 | + | 3.31007i | −1.31739 | + | 0.186798i | ||||
\(315\) | −26.0912 | − | 7.63946i | −1.47007 | − | 0.430435i | ||||
\(316\) | 5.42282 | + | 18.7377i | 0.305057 | + | 1.05408i | ||||
\(317\) | −4.31448 | − | 5.14180i | −0.242325 | − | 0.288792i | 0.631150 | − | 0.775661i | \(-0.282583\pi\) |
−0.873475 | + | 0.486869i | \(0.838139\pi\) | |||||||
\(318\) | 11.5849 | + | 13.8503i | 0.649650 | + | 0.776685i | ||||
\(319\) | −12.5618 | − | 2.21499i | −0.703327 | − | 0.124016i | ||||
\(320\) | 3.95360 | + | 26.7018i | 0.221013 | + | 1.49268i | ||||
\(321\) | 2.40644 | + | 6.00435i | 0.134314 | + | 0.335130i | ||||
\(322\) | 1.72089 | − | 0.561488i | 0.0959013 | − | 0.0312905i | ||||
\(323\) | 23.9918 | 1.33494 | ||||||||
\(324\) | 9.93511 | + | 15.0098i | 0.551950 | + | 0.833877i | ||||
\(325\) | 3.75529 | 0.208306 | ||||||||
\(326\) | 3.74103 | − | 1.22062i | 0.207197 | − | 0.0676038i | ||||
\(327\) | −6.83405 | − | 17.0518i | −0.377924 | − | 0.942966i | ||||
\(328\) | −2.47235 | + | 8.74360i | −0.136513 | + | 0.482785i | ||||
\(329\) | 3.24840 | + | 0.572780i | 0.179090 | + | 0.0315784i | ||||
\(330\) | −15.4739 | − | 18.4997i | −0.851809 | − | 1.01838i | ||||
\(331\) | −8.49106 | − | 10.1192i | −0.466711 | − | 0.556204i | 0.480426 | − | 0.877035i | \(-0.340482\pi\) |
−0.947136 | + | 0.320831i | \(0.896038\pi\) | |||||||
\(332\) | −34.5490 | + | 9.99868i | −1.89612 | + | 0.548749i | ||||
\(333\) | −2.26376 | − | 9.30039i | −0.124054 | − | 0.509658i | ||||
\(334\) | −19.8463 | + | 2.81408i | −1.08594 | + | 0.153980i | ||||
\(335\) | 5.93569 | + | 33.6630i | 0.324301 | + | 1.83920i | ||||
\(336\) | −12.9544 | − | 13.3579i | −0.706722 | − | 0.728732i | ||||
\(337\) | 18.1807 | − | 6.61722i | 0.990364 | − | 0.360463i | 0.204503 | − | 0.978866i | \(-0.434442\pi\) |
0.785861 | + | 0.618403i | \(0.212220\pi\) | |||||||
\(338\) | −15.1879 | − | 9.46454i | −0.826113 | − | 0.514803i | ||||
\(339\) | 2.07546 | + | 9.90011i | 0.112724 | + | 0.537700i | ||||
\(340\) | 49.4682 | + | 3.33704i | 2.68279 | + | 0.180976i | ||||
\(341\) | 14.6955 | + | 8.48443i | 0.795804 | + | 0.459458i | ||||
\(342\) | 13.8476 | − | 0.423193i | 0.748792 | − | 0.0228836i | ||||
\(343\) | 15.7851 | − | 9.11354i | 0.852316 | − | 0.492085i | ||||
\(344\) | −4.63682 | − | 2.24041i | −0.250001 | − | 0.120795i | ||||
\(345\) | −1.31442 | + | 2.45549i | −0.0707658 | + | 0.132199i | ||||
\(346\) | 0.820971 | + | 1.53946i | 0.0441357 | + | 0.0827617i | ||||
\(347\) | 9.79587 | + | 8.21971i | 0.525870 | + | 0.441257i | 0.866672 | − | 0.498878i | \(-0.166254\pi\) |
−0.340803 | + | 0.940135i | \(0.610699\pi\) | |||||||
\(348\) | 11.9352 | − | 9.31840i | 0.639796 | − | 0.499518i | ||||
\(349\) | 11.3836 | + | 4.14328i | 0.609348 | + | 0.221785i | 0.628218 | − | 0.778037i | \(-0.283785\pi\) |
−0.0188700 | + | 0.999822i | \(0.506007\pi\) | |||||||
\(350\) | −19.0916 | + | 14.9538i | −1.02049 | + | 0.799313i | ||||
\(351\) | 3.04690 | + | 0.238720i | 0.162632 | + | 0.0127420i | ||||
\(352\) | −2.96630 | − | 16.2388i | −0.158104 | − | 0.865532i | ||||
\(353\) | 6.82994 | − | 18.7651i | 0.363521 | − | 0.998766i | −0.614254 | − | 0.789108i | \(-0.710543\pi\) |
0.977775 | − | 0.209657i | \(-0.0672348\pi\) | |||||||
\(354\) | −5.05551 | − | 8.78809i | −0.268697 | − | 0.467082i | ||||
\(355\) | 2.67420 | − | 3.18699i | 0.141932 | − | 0.169148i | ||||
\(356\) | 4.49509 | − | 10.1633i | 0.238239 | − | 0.538652i | ||||
\(357\) | −29.0357 | + | 18.0310i | −1.53673 | + | 0.954302i | ||||
\(358\) | −23.7995 | − | 5.02820i | −1.25784 | − | 0.265749i | ||||
\(359\) | −10.5259 | − | 18.2314i | −0.555535 | − | 0.962214i | −0.997862 | − | 0.0653605i | \(-0.979180\pi\) |
0.442327 | − | 0.896854i | \(-0.354153\pi\) | |||||||
\(360\) | 28.6109 | + | 1.05350i | 1.50793 | + | 0.0555245i | ||||
\(361\) | −4.16848 | + | 7.22001i | −0.219393 | + | 0.380001i | ||||
\(362\) | 20.4453 | − | 22.7630i | 1.07458 | − | 1.19639i | ||||
\(363\) | −2.87045 | − | 3.20591i | −0.150659 | − | 0.168267i | ||||
\(364\) | −3.14131 | + | 0.337970i | −0.164649 | + | 0.0177144i | ||||
\(365\) | 2.72524 | + | 7.48755i | 0.142646 | + | 0.391916i | ||||
\(366\) | 0.236240 | − | 1.32764i | 0.0123485 | − | 0.0693971i | ||||
\(367\) | −27.4150 | + | 4.83400i | −1.43105 | + | 0.252333i | −0.834838 | − | 0.550495i | \(-0.814439\pi\) |
−0.596211 | + | 0.802828i | \(0.703328\pi\) | |||||||
\(368\) | −1.61165 | + | 1.01811i | −0.0840129 | + | 0.0530729i | ||||
\(369\) | 8.63850 | + | 4.27315i | 0.449702 | + | 0.222451i | ||||
\(370\) | −14.1232 | − | 5.68599i | −0.734232 | − | 0.295600i | ||||
\(371\) | −15.1666 | + | 12.7263i | −0.787411 | + | 0.660717i | ||||
\(372\) | −19.1598 | + | 6.21829i | −0.993388 | + | 0.322403i | ||||
\(373\) | 1.03662 | − | 5.87895i | 0.0536740 | − | 0.304400i | −0.946139 | − | 0.323762i | \(-0.895052\pi\) |
0.999813 | + | 0.0193617i | \(0.00616340\pi\) | |||||||
\(374\) | −30.3038 | − | 1.02096i | −1.56697 | − | 0.0527927i | ||||
\(375\) | 1.14857 | − | 8.01018i | 0.0593120 | − | 0.413644i | ||||
\(376\) | −3.46429 | + | 0.255079i | −0.178657 | + | 0.0131547i | ||||
\(377\) | − | 2.57099i | − | 0.132413i | ||||||
\(378\) | −16.4408 | + | 10.9193i | −0.845624 | + | 0.561629i | ||||
\(379\) | 14.2394i | 0.731429i | 0.930727 | + | 0.365715i | \(0.119175\pi\) | ||||
−0.930727 | + | 0.365715i | \(0.880825\pi\) | |||||||
\(380\) | 12.2774 | − | 18.2988i | 0.629817 | − | 0.938709i | ||||
\(381\) | 1.67499 | + | 1.31620i | 0.0858125 | + | 0.0674308i | ||||
\(382\) | 0.227235 | − | 6.74470i | 0.0116263 | − | 0.345089i | ||||
\(383\) | −2.77843 | + | 15.7573i | −0.141971 | + | 0.805159i | 0.827778 | + | 0.561056i | \(0.189605\pi\) |
−0.969749 | + | 0.244103i | \(0.921507\pi\) | |||||||
\(384\) | 16.6783 | + | 10.2876i | 0.851111 | + | 0.524986i | ||||
\(385\) | 20.2579 | − | 16.9984i | 1.03244 | − | 0.866319i | ||||
\(386\) | −4.78515 | + | 11.8857i | −0.243558 | + | 0.604965i | ||||
\(387\) | −3.23516 | + | 4.40093i | −0.164453 | + | 0.223712i | ||||
\(388\) | −15.2694 | − | 14.6731i | −0.775185 | − | 0.744916i | ||||
\(389\) | 17.5295 | − | 3.09093i | 0.888782 | − | 0.156716i | 0.289427 | − | 0.957200i | \(-0.406535\pi\) |
0.599355 | + | 0.800484i | \(0.295424\pi\) | |||||||
\(390\) | 3.13052 | − | 3.71899i | 0.158520 | − | 0.188318i | ||||
\(391\) | 1.19758 | + | 3.29032i | 0.0605641 | + | 0.166399i | ||||
\(392\) | 0.432932 | − | 0.421172i | 0.0218664 | − | 0.0212724i | ||||
\(393\) | −9.52841 | + | 29.0492i | −0.480645 | + | 1.46534i | ||||
\(394\) | 2.18973 | + | 1.96678i | 0.110317 | + | 0.0990847i | ||||
\(395\) | 16.4544 | − | 28.4999i | 0.827913 | − | 1.43399i | ||||
\(396\) | −17.5088 | − | 0.0547487i | −0.879849 | − | 0.00275123i | ||||
\(397\) | −9.34449 | − | 16.1851i | −0.468987 | − | 0.812309i | 0.530385 | − | 0.847757i | \(-0.322047\pi\) |
−0.999372 | + | 0.0354484i | \(0.988714\pi\) | |||||||
\(398\) | 3.29113 | − | 15.5776i | 0.164970 | − | 0.780836i | ||||
\(399\) | 0.487759 | + | 15.1828i | 0.0244185 | + | 0.760090i | ||||
\(400\) | 15.6241 | − | 20.2017i | 0.781203 | − | 1.01009i | ||||
\(401\) | −19.8603 | + | 23.6686i | −0.991778 | + | 1.18195i | −0.00847759 | + | 0.999964i | \(0.502699\pi\) |
−0.983300 | + | 0.181991i | \(0.941746\pi\) | |||||||
\(402\) | 21.4711 | + | 12.4412i | 1.07088 | + | 0.620508i | ||||
\(403\) | −1.16978 | + | 3.21394i | −0.0582708 | + | 0.160098i | ||||
\(404\) | −16.6075 | − | 4.09740i | −0.826254 | − | 0.203853i | ||||
\(405\) | 6.64498 | − | 29.6311i | 0.330192 | − | 1.47238i | ||||
\(406\) | 10.2378 | + | 13.0707i | 0.508095 | + | 0.648688i | ||||
\(407\) | 8.74925 | + | 3.18447i | 0.433684 | + | 0.157848i | ||||
\(408\) | 24.9802 | − | 25.9141i | 1.23671 | − | 1.28294i | ||||
\(409\) | −18.8560 | − | 15.8220i | −0.932368 | − | 0.782349i | 0.0438734 | − | 0.999037i | \(-0.486030\pi\) |
−0.976241 | + | 0.216688i | \(0.930475\pi\) | |||||||
\(410\) | 13.5261 | − | 7.21330i | 0.668008 | − | 0.356240i | ||||
\(411\) | 17.9679 | − | 0.577231i | 0.886289 | − | 0.0284727i | ||||
\(412\) | 30.4465 | − | 14.9424i | 1.49999 | − | 0.736161i | ||||
\(413\) | 9.62725 | − | 5.55829i | 0.473726 | − | 0.273506i | ||||
\(414\) | 0.749257 | + | 1.87798i | 0.0368240 | + | 0.0922979i | ||||
\(415\) | 52.5486 | + | 30.3390i | 2.57951 | + | 1.48928i | ||||
\(416\) | 3.11951 | − | 1.15716i | 0.152947 | − | 0.0567342i | ||||
\(417\) | −35.9166 | − | 11.7810i | −1.75885 | − | 0.576917i | ||||
\(418\) | −7.12717 | + | 11.4371i | −0.348601 | + | 0.559407i | ||||
\(419\) | −7.48245 | + | 2.72339i | −0.365542 | + | 0.133046i | −0.518259 | − | 0.855224i | \(-0.673420\pi\) |
0.152718 | + | 0.988270i | \(0.451198\pi\) | |||||||
\(420\) | −1.10609 | + | 31.3729i | −0.0539717 | + | 1.53084i | ||||
\(421\) | −0.713817 | − | 4.04826i | −0.0347893 | − | 0.197300i | 0.962460 | − | 0.271425i | \(-0.0874948\pi\) |
−0.997249 | + | 0.0741247i | \(0.976384\pi\) | |||||||
\(422\) | 1.09282 | + | 7.70711i | 0.0531977 | + | 0.375176i | ||||
\(423\) | −0.405577 | + | 3.66199i | −0.0197198 | + | 0.178052i | ||||
\(424\) | 12.1931 | − | 16.9130i | 0.592147 | − | 0.821369i | ||||
\(425\) | −30.1527 | − | 35.9346i | −1.46262 | − | 1.74309i | ||||
\(426\) | −0.519809 | − | 2.97518i | −0.0251848 | − | 0.144148i | ||||
\(427\) | 1.45613 | + | 0.256755i | 0.0704672 | + | 0.0124253i | ||||
\(428\) | 6.03201 | − | 4.40519i | 0.291568 | − | 0.212933i | ||||
\(429\) | −1.83680 | + | 2.33752i | −0.0886816 | + | 0.112856i | ||||
\(430\) | 2.69485 | + | 8.25935i | 0.129957 | + | 0.398301i | ||||
\(431\) | −34.6402 | −1.66856 | −0.834281 | − | 0.551340i | \(-0.814117\pi\) | ||||
−0.834281 | + | 0.551340i | \(0.814117\pi\) | |||||||
\(432\) | 13.9610 | − | 15.3977i | 0.671699 | − | 0.740824i | ||||
\(433\) | −8.55521 | −0.411137 | −0.205569 | − | 0.978643i | \(-0.565904\pi\) | ||||
−0.205569 | + | 0.978643i | \(0.565904\pi\) | |||||||
\(434\) | −6.85104 | − | 20.9975i | −0.328860 | − | 1.00791i | ||||
\(435\) | −25.2869 | − | 3.62587i | −1.21242 | − | 0.173847i | ||||
\(436\) | −17.1303 | + | 12.5103i | −0.820394 | + | 0.599137i | ||||
\(437\) | 1.53258 | + | 0.270235i | 0.0733131 | + | 0.0129271i | ||||
\(438\) | 5.43260 | + | 1.98693i | 0.259580 | + | 0.0949391i | ||||
\(439\) | −5.14956 | − | 6.13700i | −0.245775 | − | 0.292903i | 0.629027 | − | 0.777383i | \(-0.283453\pi\) |
−0.874802 | + | 0.484480i | \(0.839009\pi\) | |||||||
\(440\) | −16.2862 | + | 22.5906i | −0.776412 | + | 1.07696i | ||||
\(441\) | −0.355269 | − | 0.533105i | −0.0169176 | − | 0.0253860i | ||||
\(442\) | −0.857980 | − | 6.05090i | −0.0408099 | − | 0.287812i | ||||
\(443\) | −1.37913 | − | 7.82143i | −0.0655244 | − | 0.371607i | −0.999883 | − | 0.0152741i | \(-0.995138\pi\) |
0.934359 | − | 0.356333i | \(-0.115973\pi\) | |||||||
\(444\) | −9.76071 | + | 5.18567i | −0.463223 | + | 0.246101i | ||||
\(445\) | −17.6175 | + | 6.41226i | −0.835151 | + | 0.303970i | ||||
\(446\) | −4.08555 | + | 6.55615i | −0.193456 | + | 0.310443i | ||||
\(447\) | 4.81880 | − | 4.31457i | 0.227922 | − | 0.204072i | ||||
\(448\) | −11.2515 | + | 18.3050i | −0.531582 | + | 0.864828i | ||||
\(449\) | 0.748371 | + | 0.432072i | 0.0353178 | + | 0.0203907i | 0.517555 | − | 0.855650i | \(-0.326842\pi\) |
−0.482237 | + | 0.876041i | \(0.660176\pi\) | |||||||
\(450\) | −18.0374 | − | 20.2089i | −0.850292 | − | 0.952657i | ||||
\(451\) | −8.11868 | + | 4.68732i | −0.382294 | + | 0.220717i | ||||
\(452\) | 10.4855 | − | 5.14603i | 0.493194 | − | 0.242049i | ||||
\(453\) | −13.3388 | − | 21.4798i | −0.626713 | − | 1.00921i | ||||
\(454\) | 1.85260 | − | 0.987968i | 0.0869470 | − | 0.0463676i | ||||
\(455\) | 4.08314 | + | 3.42616i | 0.191420 | + | 0.160621i | ||||
\(456\) | −4.42319 | − | 15.3736i | −0.207135 | − | 0.719936i | ||||
\(457\) | 27.5979 | + | 10.0448i | 1.29098 | + | 0.469877i | 0.894048 | − | 0.447972i | \(-0.147853\pi\) |
0.396930 | + | 0.917849i | \(0.370076\pi\) | |||||||
\(458\) | 22.7211 | + | 29.0081i | 1.06169 | + | 1.35546i | ||||
\(459\) | −22.1805 | − | 31.0728i | −1.03530 | − | 1.45036i | ||||
\(460\) | 3.12240 | + | 0.770359i | 0.145583 | + | 0.0359182i | ||||
\(461\) | −1.96584 | + | 5.40111i | −0.0915585 | + | 0.251555i | −0.977016 | − | 0.213165i | \(-0.931623\pi\) |
0.885458 | + | 0.464720i | \(0.153845\pi\) | |||||||
\(462\) | 0.0300154 | − | 19.1980i | 0.00139644 | − | 0.893172i | ||||
\(463\) | 17.6836 | − | 21.0745i | 0.821825 | − | 0.979413i | −0.178164 | − | 0.984001i | \(-0.557016\pi\) |
0.999989 | + | 0.00458769i | \(0.00146031\pi\) | |||||||
\(464\) | −13.8308 | − | 10.6967i | −0.642077 | − | 0.496584i | ||||
\(465\) | 29.9609 | + | 16.0379i | 1.38940 | + | 0.743742i | ||||
\(466\) | −1.96255 | + | 9.28919i | −0.0909136 | + | 0.430313i | ||||
\(467\) | 8.41790 | + | 14.5802i | 0.389534 | + | 0.674692i | 0.992387 | − | 0.123160i | \(-0.0393028\pi\) |
−0.602853 | + | 0.797852i | \(0.705969\pi\) | |||||||
\(468\) | −0.601941 | − | 3.47733i | −0.0278248 | − | 0.160740i | ||||
\(469\) | −13.6046 | + | 23.5638i | −0.628202 | + | 1.08808i | ||||
\(470\) | 4.35985 | + | 3.91594i | 0.201105 | + | 0.180629i | ||||
\(471\) | 28.2624 | − | 5.92493i | 1.30226 | − | 0.273006i | ||||
\(472\) | −8.39122 | + | 8.16328i | −0.386237 | + | 0.375745i | ||||
\(473\) | −1.81717 | − | 4.99264i | −0.0835537 | − | 0.229562i | ||||
\(474\) | −8.13599 | − | 22.4627i | −0.373698 | − | 1.03174i | ||||
\(475\) | −20.5319 | + | 3.62033i | −0.942069 | + | 0.166112i | ||||
\(476\) | 28.4569 | + | 27.3457i | 1.30432 | + | 1.25339i | ||||
\(477\) | −15.2731 | − | 15.9935i | −0.699308 | − | 0.732293i | ||||
\(478\) | −10.8256 | + | 26.8894i | −0.495152 | + | 1.22989i | ||||
\(479\) | 1.69205 | − | 1.41980i | 0.0773119 | − | 0.0648724i | −0.603313 | − | 0.797505i | \(-0.706153\pi\) |
0.680625 | + | 0.732632i | \(0.261708\pi\) | |||||||
\(480\) | −6.98174 | − | 32.3138i | −0.318672 | − | 1.47492i | ||||
\(481\) | −0.325877 | + | 1.84814i | −0.0148587 | + | 0.0842680i | ||||
\(482\) | 0.601385 | − | 17.8501i | 0.0273923 | − | 0.813049i | ||||
\(483\) | −2.05788 | + | 0.824760i | −0.0936366 | + | 0.0375279i | ||||
\(484\) | −2.76843 | + | 4.12620i | −0.125838 | + | 0.187555i | ||||
\(485\) | 35.7264i | 1.62225i | ||||||||
\(486\) | −13.3503 | − | 17.5434i | −0.605580 | − | 0.795785i | ||||
\(487\) | 40.4859i | 1.83459i | 0.398206 | + | 0.917296i | \(0.369633\pi\) | ||||
−0.398206 | + | 0.917296i | \(0.630367\pi\) | |||||||
\(488\) | −1.55291 | + | 0.114342i | −0.0702969 | + | 0.00517604i | ||||
\(489\) | −4.47361 | + | 1.79294i | −0.202304 | + | 0.0810798i | ||||
\(490\) | −1.01840 | − | 0.0343110i | −0.0460068 | − | 0.00155001i | ||||
\(491\) | 2.74760 | − | 15.5824i | 0.123998 | − | 0.703225i | −0.857901 | − | 0.513816i | \(-0.828232\pi\) |
0.981898 | − | 0.189409i | \(-0.0606574\pi\) | |||||||
\(492\) | 2.31740 | − | 10.8846i | 0.104477 | − | 0.490715i | ||||
\(493\) | −24.6020 | + | 20.6435i | −1.10802 | + | 0.929738i | ||||
\(494\) | −2.51966 | − | 1.01441i | −0.113365 | − | 0.0456405i | ||||
\(495\) | 20.4002 | + | 21.3624i | 0.916919 | + | 0.960170i | ||||
\(496\) | 12.4226 | + | 19.6646i | 0.557791 | + | 0.882968i | ||||
\(497\) | 3.26131 | − | 0.575058i | 0.146290 | − | 0.0257949i | ||||
\(498\) | 41.4170 | − | 15.0013i | 1.85594 | − | 0.672223i | ||||
\(499\) | 11.4425 | + | 31.4380i | 0.512236 | + | 1.40736i | 0.878901 | + | 0.477004i | \(0.158277\pi\) |
−0.366665 | + | 0.930353i | \(0.619501\pi\) | |||||||
\(500\) | −9.29035 | + | 0.999538i | −0.415477 | + | 0.0447007i | ||||
\(501\) | 24.0275 | − | 5.03713i | 1.07347 | − | 0.225042i | ||||
\(502\) | 12.0760 | − | 13.4449i | 0.538977 | − | 0.600075i | ||||
\(503\) | −12.0161 | + | 20.8125i | −0.535772 | + | 0.927984i | 0.463354 | + | 0.886173i | \(0.346646\pi\) |
−0.999126 | + | 0.0418106i | \(0.986687\pi\) | |||||||
\(504\) | 16.9071 | + | 15.2815i | 0.753104 | + | 0.680691i | ||||
\(505\) | 14.4290 | + | 24.9917i | 0.642081 | + | 1.11212i | ||||
\(506\) | −1.92428 | − | 0.406549i | −0.0855449 | − | 0.0180733i | ||||
\(507\) | 19.3232 | + | 10.3436i | 0.858172 | + | 0.459376i | ||||
\(508\) | 0.994968 | − | 2.24959i | 0.0441446 | − | 0.0998096i | ||||
\(509\) | −15.9558 | + | 19.0154i | −0.707228 | + | 0.842841i | −0.993324 | − | 0.115360i | \(-0.963198\pi\) |
0.286096 | + | 0.958201i | \(0.407642\pi\) | |||||||
\(510\) | −60.7235 | − | 0.0949389i | −2.68888 | − | 0.00420396i | ||||
\(511\) | −2.16930 | + | 5.96011i | −0.0959643 | + | 0.263660i | ||||
\(512\) | 6.75391 | − | 21.5959i | 0.298484 | − | 0.954415i | ||||
\(513\) | −16.8890 | + | 1.63221i | −0.745667 | + | 0.0720638i | ||||
\(514\) | 11.0687 | − | 8.66972i | 0.488218 | − | 0.382405i | ||||
\(515\) | −53.7669 | − | 19.5695i | −2.36925 | − | 0.862337i | ||||
\(516\) | 5.84704 | + | 2.36463i | 0.257401 | + | 0.104097i | ||||
\(517\) | −2.74539 | − | 2.30365i | −0.120742 | − | 0.101315i | ||||
\(518\) | −5.70268 | − | 10.6935i | −0.250561 | − | 0.469844i | ||||
\(519\) | −1.12726 | − | 1.81526i | −0.0494814 | − | 0.0796809i | ||||
\(520\) | −5.05415 | − | 2.44206i | −0.221639 | − | 0.107091i | ||||
\(521\) | −13.6964 | + | 7.90761i | −0.600049 | + | 0.346439i | −0.769061 | − | 0.639175i | \(-0.779276\pi\) |
0.169012 | + | 0.985614i | \(0.445942\pi\) | |||||||
\(522\) | −13.8357 | + | 12.3490i | −0.605571 | + | 0.540501i | ||||
\(523\) | −27.0410 | − | 15.6122i | −1.18242 | − | 0.682672i | −0.225849 | − | 0.974162i | \(-0.572515\pi\) |
−0.956574 | + | 0.291491i | \(0.905849\pi\) | |||||||
\(524\) | 35.2215 | + | 2.37598i | 1.53866 | + | 0.103795i | ||||
\(525\) | 22.1276 | − | 19.8122i | 0.965728 | − | 0.864676i | ||||
\(526\) | 23.4676 | + | 14.6242i | 1.02324 | + | 0.637644i | ||||
\(527\) | 40.1470 | − | 14.6123i | 1.74883 | − | 0.636523i | ||||
\(528\) | 4.93267 | + | 19.6065i | 0.214667 | + | 0.853264i | ||||
\(529\) | −3.95447 | − | 22.4269i | −0.171933 | − | 0.975083i | ||||
\(530\) | −34.8267 | + | 4.93821i | −1.51278 | + | 0.214502i | ||||
\(531\) | 6.88594 | + | 10.3328i | 0.298824 | + | 0.448406i | ||||
\(532\) | 16.8492 | − | 4.87626i | 0.730506 | − | 0.211413i | ||||
\(533\) | −1.21457 | − | 1.44746i | −0.0526087 | − | 0.0626966i | ||||
\(534\) | −4.67506 | + | 12.7824i | −0.202310 | + | 0.553149i | ||||
\(535\) | −12.4097 | − | 2.18817i | −0.536520 | − | 0.0946029i | ||||
\(536\) | 7.79657 | − | 27.5730i | 0.336760 | − | 1.19097i | ||||
\(537\) | 29.4902 | + | 4.22857i | 1.27260 | + | 0.182476i | ||||
\(538\) | 40.7765 | − | 13.3045i | 1.75800 | − | 0.573597i | ||||
\(539\) | 0.623158 | 0.0268413 | ||||||||
\(540\) | −35.0501 | + | 1.01631i | −1.50832 | + | 0.0437350i | ||||
\(541\) | −14.4554 | −0.621486 | −0.310743 | − | 0.950494i | \(-0.600578\pi\) | ||||
−0.310743 | + | 0.950494i | \(0.600578\pi\) | |||||||
\(542\) | −25.7138 | + | 8.38985i | −1.10450 | + | 0.360375i | ||||
\(543\) | −23.1532 | + | 29.4648i | −0.993598 | + | 1.26446i | ||||
\(544\) | −36.1207 | − | 20.5595i | −1.54866 | − | 0.881483i | ||||
\(545\) | 35.2425 | + | 6.21421i | 1.50962 | + | 0.266187i | ||||
\(546\) | 3.81177 | − | 0.665974i | 0.163129 | − | 0.0285011i | ||||
\(547\) | 23.0006 | + | 27.4110i | 0.983434 | + | 1.17201i | 0.985095 | + | 0.172012i | \(0.0550267\pi\) |
−0.00166132 | + | 0.999999i | \(0.500529\pi\) | |||||||
\(548\) | −5.77074 | − | 19.9400i | −0.246514 | − | 0.851792i | ||||
\(549\) | −0.181805 | + | 1.64153i | −0.00775923 | + | 0.0700588i | ||||
\(550\) | 26.0877 | − | 3.69908i | 1.11238 | − | 0.157729i | ||||
\(551\) | 2.47860 | + | 14.0568i | 0.105592 | + | 0.598841i | ||||
\(552\) | 1.88761 | − | 1.37400i | 0.0803418 | − | 0.0584815i | ||||
\(553\) | 24.6158 | − | 8.95941i | 1.04677 | − | 0.380993i | ||||
\(554\) | 11.8139 | + | 7.36196i | 0.501923 | + | 0.312780i | ||||
\(555\) | 17.7178 | + | 5.81159i | 0.752078 | + | 0.246688i | ||||
\(556\) | −2.93768 | + | 43.5480i | −0.124585 | + | 1.84685i | ||||
\(557\) | −25.5879 | − | 14.7732i | −1.08419 | − | 0.625960i | −0.152170 | − | 0.988354i | \(-0.548626\pi\) |
−0.932025 | + | 0.362394i | \(0.881959\pi\) | |||||||
\(558\) | 22.9144 | − | 9.14211i | 0.970042 | − | 0.387016i | ||||
\(559\) | 0.927416 | − | 0.535444i | 0.0392255 | − | 0.0226469i | ||||
\(560\) | 35.4193 | − | 7.71069i | 1.49674 | − | 0.325836i | ||||
\(561\) | 37.1163 | − | 1.19239i | 1.56705 | − | 0.0503427i | ||||
\(562\) | −15.4242 | − | 28.9230i | −0.650632 | − | 1.22004i | ||||
\(563\) | −8.84941 | − | 7.42554i | −0.372958 | − | 0.312949i | 0.436972 | − | 0.899475i | \(-0.356051\pi\) |
−0.809930 | + | 0.586526i | \(0.800495\pi\) | |||||||
\(564\) | 4.21315 | − | 0.590680i | 0.177406 | − | 0.0248721i | ||||
\(565\) | −18.5168 | − | 6.73955i | −0.779006 | − | 0.283535i | ||||
\(566\) | 19.4218 | − | 15.2124i | 0.816358 | − | 0.639425i | ||||
\(567\) | 19.2130 | − | 14.6683i | 0.806870 | − | 0.616010i | ||||
\(568\) | −3.18072 | + | 1.43022i | −0.133460 | + | 0.0600106i | ||||
\(569\) | 4.36916 | − | 12.0042i | 0.183165 | − | 0.503241i | −0.813796 | − | 0.581151i | \(-0.802603\pi\) |
0.996960 | + | 0.0779103i | \(0.0248248\pi\) | |||||||
\(570\) | −13.5307 | + | 23.3515i | −0.566739 | + | 0.978085i | ||||
\(571\) | 24.8893 | − | 29.6619i | 1.04158 | − | 1.24131i | 0.0717799 | − | 0.997420i | \(-0.477132\pi\) |
0.969803 | − | 0.243890i | \(-0.0784235\pi\) | |||||||
\(572\) | 3.13939 | + | 1.38852i | 0.131265 | + | 0.0580568i | ||||
\(573\) | 0.265389 | + | 8.26096i | 0.0110868 | + | 0.345106i | ||||
\(574\) | 11.9386 | + | 2.52231i | 0.498309 | + | 0.105279i | ||||
\(575\) | −1.52138 | − | 2.63511i | −0.0634459 | − | 0.109892i | ||||
\(576\) | −21.2108 | − | 11.2294i | −0.883785 | − | 0.467893i | ||||
\(577\) | 10.5964 | − | 18.3535i | 0.441134 | − | 0.764067i | −0.556640 | − | 0.830754i | \(-0.687910\pi\) |
0.997774 | + | 0.0666873i | \(0.0212430\pi\) | |||||||
\(578\) | −34.9474 | + | 38.9091i | −1.45362 | + | 1.61840i | ||||
\(579\) | 4.89086 | − | 14.9107i | 0.203257 | − | 0.619669i | ||||
\(580\) | 3.15539 | + | 29.3282i | 0.131020 | + | 1.21779i | ||||
\(581\) | 16.5195 | + | 45.3870i | 0.685344 | + | 1.88297i | ||||
\(582\) | 19.8421 | + | 16.7025i | 0.822483 | + | 0.692339i | ||||
\(583\) | 21.1845 | − | 3.73540i | 0.877372 | − | 0.154704i | ||||
\(584\) | 0.673704 | − | 6.64536i | 0.0278781 | − | 0.274987i | ||||
\(585\) | −3.52634 | + | 4.79703i | −0.145796 | + | 0.198333i | ||||
\(586\) | 24.9587 | + | 10.0483i | 1.03104 | + | 0.415093i | ||||
\(587\) | −11.6298 | + | 9.75855i | −0.480013 | + | 0.402778i | −0.850431 | − | 0.526087i | \(-0.823659\pi\) |
0.370418 | + | 0.928865i | \(0.379214\pi\) | |||||||
\(588\) | −0.495170 | + | 0.549572i | −0.0204205 | + | 0.0226640i | ||||
\(589\) | 3.29729 | − | 18.6999i | 0.135862 | − | 0.770514i | ||||
\(590\) | 19.7390 | + | 0.665025i | 0.812643 | + | 0.0273787i | ||||
\(591\) | −2.83442 | − | 2.22727i | −0.116593 | − | 0.0916175i | ||||
\(592\) | 8.58633 | + | 9.44236i | 0.352896 | + | 0.388079i | ||||
\(593\) | 25.8789i | 1.06272i | 0.847147 | + | 0.531359i | \(0.178319\pi\) | ||||
−0.847147 | + | 0.531359i | \(0.821681\pi\) | |||||||
\(594\) | 21.4018 | − | 1.34292i | 0.878126 | − | 0.0551007i | ||||
\(595\) | − | 66.5819i | − | 2.72959i | ||||||
\(596\) | −6.20209 | − | 4.16123i | −0.254048 | − | 0.170451i | ||||
\(597\) | −2.76775 | + | 19.3024i | −0.113276 | + | 0.789993i | ||||
\(598\) | 0.0133480 | − | 0.396191i | 0.000545841 | − | 0.0162015i | ||||
\(599\) | −0.0271904 | + | 0.154204i | −0.00111097 | + | 0.00630062i | −0.985358 | − | 0.170497i | \(-0.945463\pi\) |
0.984247 | + | 0.176798i | \(0.0565738\pi\) | |||||||
\(600\) | −17.4674 | + | 25.9465i | −0.713105 | + | 1.05926i | ||||
\(601\) | 3.42031 | − | 2.86998i | 0.139517 | − | 0.117069i | −0.570358 | − | 0.821396i | \(-0.693196\pi\) |
0.709875 | + | 0.704327i | \(0.248751\pi\) | |||||||
\(602\) | −2.58274 | + | 6.41517i | −0.105264 | + | 0.261463i | ||||
\(603\) | −27.2415 | − | 13.4754i | −1.10936 | − | 0.548760i | ||||
\(604\) | −20.2296 | + | 21.0516i | −0.823131 | + | 0.856579i | ||||
\(605\) | 8.25544 | − | 1.45566i | 0.335631 | − | 0.0591808i | ||||
\(606\) | 20.6259 | + | 3.67016i | 0.837869 | + | 0.149090i | ||||
\(607\) | −12.8586 | − | 35.3287i | −0.521914 | − | 1.43395i | −0.868387 | − | 0.495886i | \(-0.834843\pi\) |
0.346474 | − | 0.938060i | \(-0.387379\pi\) | |||||||
\(608\) | −15.9403 | + | 9.33412i | −0.646463 | + | 0.378549i | ||||
\(609\) | −13.5641 | − | 15.1493i | −0.549644 | − | 0.613880i | ||||
\(610\) | 1.95435 | + | 1.75537i | 0.0791295 | + | 0.0710727i | ||||
\(611\) | 0.361176 | − | 0.625575i | 0.0146116 | − | 0.0253081i | ||||
\(612\) | −28.4416 | + | 33.6809i | −1.14968 | + | 1.36147i | ||||
\(613\) | −9.84356 | − | 17.0495i | −0.397577 | − | 0.688624i | 0.595849 | − | 0.803096i | \(-0.296816\pi\) |
−0.993426 | + | 0.114472i | \(0.963482\pi\) | |||||||
\(614\) | 4.83077 | − | 22.8651i | 0.194954 | − | 0.922759i | ||||
\(615\) | −15.9494 | + | 9.90448i | −0.643142 | + | 0.399387i | ||||
\(616\) | −21.4896 | + | 5.44215i | −0.865840 | + | 0.219270i | ||||
\(617\) | 14.8351 | − | 17.6798i | 0.597241 | − | 0.711764i | −0.379740 | − | 0.925093i | \(-0.623986\pi\) |
0.976980 | + | 0.213330i | \(0.0684309\pi\) | |||||||
\(618\) | −36.0053 | + | 20.7127i | −1.44835 | + | 0.833186i | ||||
\(619\) | 0.717110 | − | 1.97024i | 0.0288231 | − | 0.0791908i | −0.924447 | − | 0.381312i | \(-0.875472\pi\) |
0.953270 | + | 0.302121i | \(0.0976947\pi\) | |||||||
\(620\) | 9.39959 | − | 38.0982i | 0.377497 | − | 1.53006i | ||||
\(621\) | −1.06688 | − | 2.23474i | −0.0428125 | − | 0.0896772i | ||||
\(622\) | 1.81460 | + | 2.31671i | 0.0727588 | + | 0.0928916i | ||||
\(623\) | −14.0236 | − | 5.10417i | −0.561844 | − | 0.204494i | ||||
\(624\) | −3.71916 | + | 1.66534i | −0.148886 | + | 0.0666670i | ||||
\(625\) | −12.3789 | − | 10.3871i | −0.495155 | − | 0.415484i | ||||
\(626\) | 0.189925 | − | 0.101284i | 0.00759092 | − | 0.00404813i | ||||
\(627\) | 7.78915 | − | 14.5511i | 0.311069 | − | 0.581115i | ||||
\(628\) | −14.6906 | − | 29.9334i | −0.586220 | − | 1.19447i | ||||
\(629\) | 20.3016 | − | 11.7211i | 0.809479 | − | 0.467353i | ||||
\(630\) | −1.17444 | − | 38.4298i | −0.0467909 | − | 1.53108i | ||||
\(631\) | 4.15935 | + | 2.40140i | 0.165581 | + | 0.0955982i | 0.580500 | − | 0.814260i | \(-0.302857\pi\) |
−0.414920 | + | 0.909858i | \(0.636190\pi\) | |||||||
\(632\) | −22.8133 | + | 15.5104i | −0.907465 | + | 0.616971i | ||||
\(633\) | −1.95612 | − | 9.33083i | −0.0777487 | − | 0.370867i | ||||
\(634\) | 5.02031 | − | 8.05618i | 0.199382 | − | 0.319952i | ||||
\(635\) | −3.89957 | + | 1.41933i | −0.154750 | + | 0.0563242i | ||||
\(636\) | −13.5392 | + | 21.6511i | −0.536865 | + | 0.858523i | ||||
\(637\) | 0.0218106 | + | 0.123694i | 0.000864167 | + | 0.00490094i | ||||
\(638\) | −2.53251 | − | 17.8605i | −0.100263 | − | 0.707104i | ||||
\(639\) | 0.874822 | + | 3.59410i | 0.0346074 | + | 0.142180i | ||||
\(640\) | −34.1652 | + | 17.0287i | −1.35050 | + | 0.673118i | ||||
\(641\) | 18.2093 | + | 21.7010i | 0.719223 | + | 0.857136i | 0.994555 | − | 0.104213i | \(-0.0332323\pi\) |
−0.275332 | + | 0.961349i | \(0.588788\pi\) | |||||||
\(642\) | −7.01697 | + | 5.86927i | −0.276938 | + | 0.231642i | ||||
\(643\) | 3.69392 | + | 0.651338i | 0.145674 | + | 0.0256863i | 0.246010 | − | 0.969267i | \(-0.420881\pi\) |
−0.100336 | + | 0.994954i | \(0.531992\pi\) | |||||||
\(644\) | 1.50980 | + | 2.06736i | 0.0594943 | + | 0.0814652i | ||||
\(645\) | −3.95841 | − | 9.87671i | −0.155862 | − | 0.388895i | ||||
\(646\) | 10.5244 | + | 32.2560i | 0.414078 | + | 1.26909i | ||||
\(647\) | −44.7799 | −1.76048 | −0.880239 | − | 0.474530i | \(-0.842618\pi\) | ||||
−0.880239 | + | 0.474530i | \(0.842618\pi\) | |||||||
\(648\) | −15.8218 | + | 19.9417i | −0.621540 | + | 0.783382i | ||||
\(649\) | −12.0782 | −0.474112 | ||||||||
\(650\) | 1.64732 | + | 5.04883i | 0.0646133 | + | 0.198031i | ||||
\(651\) | 10.0634 | + | 25.1093i | 0.394414 | + | 0.984112i | ||||
\(652\) | 3.28214 | + | 4.49422i | 0.128539 | + | 0.176007i | ||||
\(653\) | −33.2582 | − | 5.86432i | −1.30149 | − | 0.229489i | −0.520411 | − | 0.853916i | \(-0.674221\pi\) |
−0.781083 | + | 0.624427i | \(0.785333\pi\) | |||||||
\(654\) | 19.9276 | − | 16.6682i | 0.779229 | − | 0.651777i | ||||
\(655\) | −38.2817 | − | 45.6223i | −1.49579 | − | 1.78261i | ||||
\(656\) | −12.8400 | + | 0.511561i | −0.501316 | + | 0.0199731i | ||||
\(657\) | −6.79914 | − | 1.99078i | −0.265260 | − | 0.0776675i | ||||
\(658\) | 0.654888 | + | 4.61860i | 0.0255302 | + | 0.180052i | ||||
\(659\) | 5.48543 | + | 31.1094i | 0.213682 | + | 1.21185i | 0.883179 | + | 0.469036i | \(0.155399\pi\) |
−0.669497 | + | 0.742815i | \(0.733490\pi\) | |||||||
\(660\) | 18.0842 | − | 28.9192i | 0.703927 | − | 1.12568i | ||||
\(661\) | 4.54548 | − | 1.65442i | 0.176799 | − | 0.0643495i | −0.252104 | − | 0.967700i | \(-0.581123\pi\) |
0.428903 | + | 0.903351i | \(0.358900\pi\) | |||||||
\(662\) | 9.88016 | − | 15.8549i | 0.384003 | − | 0.616217i | ||||
\(663\) | 1.53576 | + | 7.32569i | 0.0596439 | + | 0.284506i | ||||
\(664\) | −28.5983 | − | 42.0636i | −1.10983 | − | 1.63238i | ||||
\(665\) | −25.6275 | − | 14.7960i | −0.993791 | − | 0.573765i | ||||
\(666\) | 11.5110 | − | 7.12332i | 0.446040 | − | 0.276023i | ||||
\(667\) | −1.80408 | + | 1.04159i | −0.0698542 | + | 0.0403304i | ||||
\(668\) | −12.4894 | − | 25.4481i | −0.483228 | − | 0.984616i | ||||
\(669\) | 4.46502 | − | 8.34121i | 0.172627 | − | 0.322490i | ||||
\(670\) | −42.6547 | + | 22.7472i | −1.64789 | + | 0.878799i | ||||
\(671\) | −1.23065 | − | 1.03264i | −0.0475088 | − | 0.0398646i | ||||
\(672\) | 12.2764 | − | 23.2764i | 0.473573 | − | 0.897906i | ||||
\(673\) | −20.9411 | − | 7.62193i | −0.807220 | − | 0.293804i | −0.0947448 | − | 0.995502i | \(-0.530204\pi\) |
−0.712475 | + | 0.701698i | \(0.752426\pi\) | |||||||
\(674\) | 16.8719 | + | 21.5404i | 0.649880 | + | 0.829705i | ||||
\(675\) | 23.6707 | + | 23.2448i | 0.911086 | + | 0.894693i | ||||
\(676\) | 6.06223 | − | 24.5713i | 0.233163 | − | 0.945050i | ||||
\(677\) | −0.302359 | + | 0.830725i | −0.0116206 | + | 0.0319274i | −0.945367 | − | 0.326007i | \(-0.894297\pi\) |
0.933747 | + | 0.357934i | \(0.116519\pi\) | |||||||
\(678\) | −12.3999 | + | 7.13323i | −0.476214 | + | 0.273950i | ||||
\(679\) | −18.2798 | + | 21.7850i | −0.701514 | + | 0.836032i | ||||
\(680\) | 17.2136 | + | 67.9718i | 0.660111 | + | 2.60660i | ||||
\(681\) | −2.18451 | + | 1.35656i | −0.0837104 | + | 0.0519837i | ||||
\(682\) | −4.96054 | + | 23.4793i | −0.189949 | + | 0.899069i | ||||
\(683\) | 13.1484 | + | 22.7737i | 0.503110 | + | 0.871412i | 0.999994 | + | 0.00359510i | \(0.00114436\pi\) |
−0.496883 | + | 0.867817i | \(0.665522\pi\) | |||||||
\(684\) | 6.64346 | + | 18.4319i | 0.254019 | + | 0.704761i | ||||
\(685\) | −17.5101 | + | 30.3285i | −0.669028 | + | 1.15879i | ||||
\(686\) | 19.1772 | + | 17.2246i | 0.732189 | + | 0.657640i | ||||
\(687\) | −30.1031 | − | 33.6211i | −1.14850 | − | 1.28273i | ||||
\(688\) | 0.978120 | − | 7.21681i | 0.0372905 | − | 0.275138i | ||||
\(689\) | 1.48292 | + | 4.07429i | 0.0564947 | + | 0.155218i | ||||
\(690\) | −3.87790 | − | 0.690032i | −0.147629 | − | 0.0262691i | ||||
\(691\) | 26.8477 | − | 4.73397i | 1.02133 | − | 0.180089i | 0.362189 | − | 0.932105i | \(-0.382029\pi\) |
0.659145 | + | 0.752016i | \(0.270918\pi\) | |||||||
\(692\) | −1.70960 | + | 1.77907i | −0.0649893 | + | 0.0676302i | ||||
\(693\) | 1.50917 | + | 23.4642i | 0.0573285 | + | 0.891331i | ||||
\(694\) | −6.75393 | + | 16.7759i | −0.256376 | + | 0.636803i | ||||
\(695\) | 56.4077 | − | 47.3317i | 2.13967 | − | 1.79539i | ||||
\(696\) | 17.7638 | + | 11.9588i | 0.673335 | + | 0.453296i | ||||
\(697\) | −4.09864 | + | 23.2446i | −0.155247 | + | 0.880450i | ||||
\(698\) | −0.576864 | + | 17.1223i | −0.0218346 | + | 0.648087i | ||||
\(699\) | 1.65045 | − | 11.5103i | 0.0624258 | − | 0.435360i | ||||
\(700\) | −28.4796 | − | 19.1081i | −1.07643 | − | 0.722218i | ||||
\(701\) | 0.940626i | 0.0355270i | 0.999842 | + | 0.0177635i | \(0.00565459\pi\) | ||||
−0.999842 | + | 0.0177635i | \(0.994345\pi\) | |||||||
\(702\) | 1.01563 | + | 4.20116i | 0.0383324 | + | 0.158562i | ||||
\(703\) | − | 10.4188i | − | 0.392954i | ||||||
\(704\) | 20.5312 | − | 11.1115i | 0.773799 | − | 0.418781i | ||||
\(705\) | −5.64346 | − | 4.43459i | −0.212545 | − | 0.167016i | ||||
\(706\) | 28.2250 | + | 0.950925i | 1.06226 | + | 0.0357885i | ||||
\(707\) | −3.98887 | + | 22.6220i | −0.150017 | + | 0.850789i | ||||
\(708\) | 9.59755 | − | 10.6520i | 0.360698 | − | 0.400326i | ||||
\(709\) | 27.4140 | − | 23.0031i | 1.02956 | − | 0.863899i | 0.0387572 | − | 0.999249i | \(-0.487660\pi\) |
0.990798 | + | 0.135349i | \(0.0432157\pi\) | |||||||
\(710\) | 5.45786 | + | 2.19733i | 0.204830 | + | 0.0824641i | ||||
\(711\) | 11.7517 | + | 26.7964i | 0.440722 | + | 1.00494i | ||||
\(712\) | 15.6359 | + | 1.58517i | 0.585981 | + | 0.0594066i | ||||
\(713\) | 2.72915 | − | 0.481223i | 0.102208 | − | 0.0180219i | ||||
\(714\) | −36.9790 | − | 31.1277i | −1.38390 | − | 1.16493i | ||||
\(715\) | −1.98072 | − | 5.44199i | −0.0740749 | − | 0.203519i | ||||
\(716\) | −3.67989 | − | 34.2032i | −0.137524 | − | 1.27823i | ||||
\(717\) | 11.0648 | − | 33.7331i | 0.413221 | − | 1.25978i | ||||
\(718\) | 19.8940 | − | 22.1491i | 0.742436 | − | 0.826598i | ||||
\(719\) | 16.5947 | − | 28.7429i | 0.618879 | − | 1.07193i | −0.370812 | − | 0.928708i | \(-0.620921\pi\) |
0.989691 | − | 0.143221i | \(-0.0457461\pi\) | |||||||
\(720\) | 11.1343 | + | 38.9284i | 0.414951 | + | 1.45077i | ||||
\(721\) | −22.7726 | − | 39.4434i | −0.848097 | − | 1.46895i | ||||
\(722\) | −11.5356 | − | 2.43716i | −0.429310 | − | 0.0907016i | ||||
\(723\) | 0.702362 | + | 21.8629i | 0.0261211 | + | 0.813090i | ||||
\(724\) | 39.5726 | + | 17.5025i | 1.47070 | + | 0.650474i | ||||
\(725\) | 17.9391 | − | 21.3789i | 0.666240 | − | 0.793994i | ||||
\(726\) | 3.05104 | − | 5.26553i | 0.113235 | − | 0.195422i | ||||
\(727\) | 11.0347 | − | 30.3175i | 0.409253 | − | 1.12441i | −0.548331 | − | 0.836261i | \(-0.684737\pi\) |
0.957585 | − | 0.288153i | \(-0.0930410\pi\) | |||||||
\(728\) | −1.83238 | − | 4.07511i | −0.0679125 | − | 0.151034i | ||||
\(729\) | 17.7279 | + | 20.3647i | 0.656589 | + | 0.754249i | ||||
\(730\) | −8.87122 | + | 6.94853i | −0.328339 | + | 0.257177i | ||||
\(731\) | −12.5703 | − | 4.57522i | −0.464929 | − | 0.169220i | ||||
\(732\) | 1.88860 | − | 0.264780i | 0.0698045 | − | 0.00978653i | ||||
\(733\) | 33.6290 | + | 28.2180i | 1.24211 | + | 1.04226i | 0.997356 | + | 0.0726730i | \(0.0231530\pi\) |
0.244758 | + | 0.969584i | \(0.421291\pi\) | |||||||
\(734\) | −18.5252 | − | 34.7378i | −0.683777 | − | 1.28219i | ||||
\(735\) | 1.24735 | − | 0.0400720i | 0.0460092 | − | 0.00147808i | ||||
\(736\) | −2.07579 | − | 1.72018i | −0.0765147 | − | 0.0634067i | ||||
\(737\) | 25.6023 | − | 14.7815i | 0.943071 | − | 0.544482i | ||||
\(738\) | −1.95564 | + | 13.4886i | −0.0719883 | + | 0.496522i | ||||
\(739\) | 14.8213 | + | 8.55709i | 0.545211 | + | 0.314778i | 0.747188 | − | 0.664613i | \(-0.231403\pi\) |
−0.201977 | + | 0.979390i | \(0.564737\pi\) | |||||||
\(740\) | 1.44917 | − | 21.4824i | 0.0532724 | − | 0.789708i | ||||
\(741\) | 3.16095 | + | 1.03682i | 0.116120 | + | 0.0380885i | ||||
\(742\) | −23.7631 | − | 14.8083i | −0.872371 | − | 0.543629i | ||||
\(743\) | −41.1116 | + | 14.9634i | −1.50824 | + | 0.548954i | −0.958179 | − | 0.286170i | \(-0.907618\pi\) |
−0.550061 | + | 0.835124i | \(0.685396\pi\) | |||||||
\(744\) | −16.7650 | − | 23.0318i | −0.614635 | − | 0.844385i | ||||
\(745\) | 2.18800 | + | 12.4087i | 0.0801620 | + | 0.454621i | ||||
\(746\) | 8.35873 | − | 1.18522i | 0.306035 | − | 0.0433938i | ||||
\(747\) | −49.4076 | + | 21.6679i | −1.80773 | + | 0.792788i | ||||
\(748\) | −11.9207 | − | 41.1901i | −0.435863 | − | 1.50606i | ||||
\(749\) | −6.44753 | − | 7.68387i | −0.235588 | − | 0.280762i | ||||
\(750\) | 11.2732 | − | 1.96960i | 0.411639 | − | 0.0719197i | ||||
\(751\) | 5.87467 | + | 1.03586i | 0.214370 | + | 0.0377992i | 0.279801 | − | 0.960058i | \(-0.409731\pi\) |
−0.0654317 | + | 0.997857i | \(0.520842\pi\) | |||||||
\(752\) | −1.86262 | − | 4.54570i | −0.0679226 | − | 0.165765i | ||||
\(753\) | −13.6754 | + | 17.4033i | −0.498359 | + | 0.634212i | ||||
\(754\) | 3.45659 | − | 1.12781i | 0.125882 | − | 0.0410725i | ||||
\(755\) | 49.2554 | 1.79259 | ||||||||
\(756\) | −21.8926 | − | 17.3140i | −0.796227 | − | 0.629706i | ||||
\(757\) | 33.2521 | 1.20857 | 0.604284 | − | 0.796769i | \(-0.293459\pi\) | ||||
0.604284 | + | 0.796769i | \(0.293459\pi\) | |||||||
\(758\) | −19.1443 | + | 6.24637i | −0.695353 | + | 0.226879i | ||||
\(759\) | 2.38439 | + | 0.341896i | 0.0865480 | + | 0.0124100i | ||||
\(760\) | 29.9877 | + | 8.47936i | 1.08777 | + | 0.307579i | ||||
\(761\) | −4.94688 | − | 0.872268i | −0.179324 | − | 0.0316197i | 0.0832649 | − | 0.996527i | \(-0.473465\pi\) |
−0.262589 | + | 0.964908i | \(0.584576\pi\) | |||||||
\(762\) | −1.03481 | + | 2.82933i | −0.0374871 | + | 0.102496i | ||||
\(763\) | 18.3104 | + | 21.8215i | 0.662880 | + | 0.789990i | ||||
\(764\) | 9.16765 | − | 2.65317i | 0.331674 | − | 0.0959885i | ||||
\(765\) | 74.2175 | − | 4.77351i | 2.68334 | − | 0.172587i | ||||
\(766\) | −22.4038 | + | 3.17672i | −0.809482 | + | 0.114780i | ||||
\(767\) | −0.422740 | − | 2.39748i | −0.0152642 | − | 0.0865678i | ||||
\(768\) | −6.51499 | + | 26.9361i | −0.235089 | + | 0.971974i | ||||
\(769\) | −48.6273 | + | 17.6989i | −1.75355 | + | 0.638239i | −0.999820 | − | 0.0189509i | \(-0.993967\pi\) |
−0.753725 | + | 0.657189i | \(0.771745\pi\) | |||||||
\(770\) | 31.7402 | + | 19.7793i | 1.14384 | + | 0.712796i | ||||
\(771\) | −12.8289 | + | 11.4865i | −0.462021 | + | 0.413676i | ||||
\(772\) | −18.0789 | − | 1.21957i | −0.650674 | − | 0.0438934i | ||||
\(773\) | 8.36174 | + | 4.82765i | 0.300751 | + | 0.173639i | 0.642780 | − | 0.766051i | \(-0.277781\pi\) |
−0.342029 | + | 0.939689i | \(0.611114\pi\) | |||||||
\(774\) | −7.33604 | − | 2.41900i | −0.263688 | − | 0.0869491i | ||||
\(775\) | −32.1524 | + | 18.5632i | −1.15495 | + | 0.666811i | ||||
\(776\) | 13.0293 | − | 26.9657i | 0.467723 | − | 0.968012i | ||||
\(777\) | 7.83027 | + | 12.6092i | 0.280909 | + | 0.452354i | ||||
\(778\) | 11.8453 | + | 22.2118i | 0.424673 | + | 0.796333i | ||||
\(779\) | 8.03605 | + | 6.74305i | 0.287921 | + | 0.241595i | ||||
\(780\) | 6.37328 | + | 2.57746i | 0.228200 | + | 0.0922878i | ||||
\(781\) | −3.38111 | − | 1.23062i | −0.120986 | − | 0.0440352i | ||||
\(782\) | −3.89836 | + | 3.05345i | −0.139405 | + | 0.109191i | ||||
\(783\) | 15.9141 | − | 16.2057i | 0.568725 | − | 0.579145i | ||||
\(784\) | 0.756161 | + | 0.397305i | 0.0270058 | + | 0.0141894i | ||||
\(785\) | −19.2397 | + | 52.8607i | −0.686695 | + | 1.88668i | ||||
\(786\) | −43.2353 | − | 0.0675968i | −1.54215 | − | 0.00241110i | ||||
\(787\) | −25.8465 | + | 30.8027i | −0.921329 | + | 1.09800i | 0.0735865 | + | 0.997289i | \(0.476555\pi\) |
−0.994916 | + | 0.100709i | \(0.967889\pi\) | |||||||
\(788\) | −1.68369 | + | 3.80676i | −0.0599788 | + | 0.135610i | ||||
\(789\) | −29.8573 | − | 15.9825i | −1.06295 | − | 0.568991i | ||||
\(790\) | 45.5350 | + | 9.62032i | 1.62006 | + | 0.342276i | ||||
\(791\) | −7.84266 | − | 13.5839i | −0.278853 | − | 0.482987i | ||||
\(792\) | −7.60693 | − | 23.5638i | −0.270300 | − | 0.837305i | ||||
\(793\) | 0.161901 | − | 0.280422i | 0.00574929 | − | 0.00995806i | ||||
\(794\) | 17.6611 | − | 19.6632i | 0.626770 | − | 0.697820i | ||||
\(795\) | 42.1639 | − | 8.83926i | 1.49540 | − | 0.313496i | ||||
\(796\) | 22.3872 | − | 2.40861i | 0.793494 | − | 0.0853711i | ||||
\(797\) | −1.57213 | − | 4.31940i | −0.0556878 | − | 0.153001i | 0.908730 | − | 0.417385i | \(-0.137053\pi\) |
−0.964417 | + | 0.264384i | \(0.914831\pi\) | |||||||
\(798\) | −20.1987 | + | 7.31598i | −0.715026 | + | 0.258983i | ||||
\(799\) | −8.88621 | + | 1.56688i | −0.314371 | + | 0.0554322i | ||||
\(800\) | 34.0142 | + | 12.1441i | 1.20258 | + | 0.429358i | ||||
\(801\) | 4.68412 | − | 15.9978i | 0.165505 | − | 0.565253i | ||||
\(802\) | −40.5336 | − | 16.3187i | −1.43129 | − | 0.576235i | ||||
\(803\) | 5.27903 | − | 4.42963i | 0.186293 | − | 0.156318i | ||||
\(804\) | −7.30793 | + | 34.3246i | −0.257731 | + | 1.21053i | ||||
\(805\) | 0.749954 | − | 4.25320i | 0.0264324 | − | 0.149906i | ||||
\(806\) | −4.83415 | − | 0.162867i | −0.170276 | − | 0.00573674i | ||||
\(807\) | −48.7614 | + | 19.5427i | −1.71648 | + | 0.687936i | ||||
\(808\) | −1.77639 | − | 24.1255i | −0.0624931 | − | 0.848732i | ||||
\(809\) | − | 17.3051i | − | 0.608415i | −0.952606 | − | 0.304208i | \(-0.901608\pi\) | ||
0.952606 | − | 0.304208i | \(-0.0983917\pi\) | |||||||
\(810\) | 42.7527 | − | 4.06431i | 1.50218 | − | 0.142805i | ||||
\(811\) | − | 4.64157i | − | 0.162987i | −0.996674 | − | 0.0814937i | \(-0.974031\pi\) | ||
0.996674 | − | 0.0814937i | \(-0.0259691\pi\) | |||||||
\(812\) | −13.0820 | + | 19.4981i | −0.459089 | + | 0.684248i | ||||
\(813\) | 30.7491 | − | 12.3237i | 1.07842 | − | 0.432211i | ||||
\(814\) | −0.443370 | + | 13.1599i | −0.0155401 | + | 0.461255i | ||||
\(815\) | 1.63032 | − | 9.24603i | 0.0571078 | − | 0.323874i | ||||
\(816\) | 45.7985 | + | 22.2172i | 1.60327 | + | 0.777759i | ||||
\(817\) | −4.55442 | + | 3.82161i | −0.159339 | + | 0.133701i | ||||
\(818\) | 13.0006 | − | 32.2917i | 0.454554 | − | 1.12905i | ||||
\(819\) | −4.60472 | + | 1.12081i | −0.160902 | + | 0.0391644i | ||||
\(820\) | 15.6315 | + | 15.0211i | 0.545875 | + | 0.524559i | ||||
\(821\) | −34.5874 | + | 6.09870i | −1.20711 | + | 0.212846i | −0.740769 | − | 0.671759i | \(-0.765539\pi\) |
−0.466340 | + | 0.884605i | \(0.654428\pi\) | |||||||
\(822\) | 8.65799 | + | 23.9038i | 0.301982 | + | 0.833742i | ||||
\(823\) | −0.0707205 | − | 0.194303i | −0.00246516 | − | 0.00677298i | 0.938454 | − | 0.345404i | \(-0.112258\pi\) |
−0.940919 | + | 0.338631i | \(0.890036\pi\) | |||||||
\(824\) | 33.4454 | + | 34.3793i | 1.16513 | + | 1.19766i | ||||
\(825\) | −31.5838 | + | 6.62124i | −1.09961 | + | 0.230522i | ||||
\(826\) | 11.6961 | + | 10.5052i | 0.406958 | + | 0.365523i | ||||
\(827\) | 6.40289 | − | 11.0901i | 0.222650 | − | 0.385642i | −0.732962 | − | 0.680270i | \(-0.761863\pi\) |
0.955612 | + | 0.294628i | \(0.0951959\pi\) | |||||||
\(828\) | −2.19620 | + | 1.83116i | −0.0763231 | + | 0.0636371i | ||||
\(829\) | 14.0149 | + | 24.2745i | 0.486757 | + | 0.843088i | 0.999884 | − | 0.0152250i | \(-0.00484646\pi\) |
−0.513127 | + | 0.858313i | \(0.671513\pi\) | |||||||
\(830\) | −17.7381 | + | 83.9582i | −0.615699 | + | 2.91423i | ||||
\(831\) | −15.0305 | − | 8.04574i | −0.521401 | − | 0.279104i | ||||
\(832\) | 2.92418 | + | 3.68645i | 0.101378 | + | 0.127805i | ||||
\(833\) | 1.00851 | − | 1.20190i | 0.0349429 | − | 0.0416433i | ||||
\(834\) | 0.0835770 | − | 53.4564i | 0.00289404 | − | 1.85104i | ||||
\(835\) | −16.3568 | + | 44.9400i | −0.566051 | + | 1.55521i | ||||
\(836\) | −18.5032 | − | 4.56510i | −0.639945 | − | 0.157887i | ||||
\(837\) | −27.2674 | + | 13.0176i | −0.942499 | + | 0.449955i | ||||
\(838\) | −6.94380 | − | 8.86519i | −0.239869 | − | 0.306243i | ||||
\(839\) | 31.3898 | + | 11.4250i | 1.08370 | + | 0.394434i | 0.821283 | − | 0.570521i | \(-0.193259\pi\) |
0.262415 | + | 0.964955i | \(0.415481\pi\) | |||||||
\(840\) | −42.6648 | + | 12.2752i | −1.47208 | + | 0.423535i | ||||
\(841\) | 7.57857 | + | 6.35918i | 0.261330 | + | 0.219282i | ||||
\(842\) | 5.12959 | − | 2.73554i | 0.176777 | − | 0.0942729i | ||||
\(843\) | 21.1788 | + | 34.1047i | 0.729436 | + | 1.17463i | ||||
\(844\) | −9.88251 | + | 4.85011i | −0.340170 | + | 0.166948i | ||||
\(845\) | −36.9760 | + | 21.3481i | −1.27201 | + | 0.734397i | ||||
\(846\) | −5.10131 | + | 1.06112i | −0.175387 | + | 0.0364819i | ||||
\(847\) | 5.77875 | + | 3.33636i | 0.198560 | + | 0.114639i | ||||
\(848\) | 28.0876 | + | 8.97386i | 0.964531 | + | 0.308164i | ||||
\(849\) | −22.5103 | + | 20.1549i | −0.772552 | + | 0.691713i | ||||
\(850\) | 35.0856 | − | 56.3025i | 1.20343 | − | 1.93116i | ||||
\(851\) | 1.42888 | − | 0.520068i | 0.0489812 | − | 0.0178277i | ||||
\(852\) | 3.77198 | − | 2.00398i | 0.129226 | − | 0.0686551i | ||||
\(853\) | 7.02953 | + | 39.8664i | 0.240686 | + | 1.36500i | 0.830301 | + | 0.557315i | \(0.188169\pi\) |
−0.589615 | + | 0.807685i | \(0.700720\pi\) | |||||||
\(854\) | 0.293561 | + | 2.07034i | 0.0100455 | + | 0.0708456i | ||||
\(855\) | 14.6555 | − | 29.6272i | 0.501208 | − | 1.01323i | ||||
\(856\) | 8.56865 | + | 6.17737i | 0.292870 | + | 0.211138i | ||||
\(857\) | 9.81314 | + | 11.6948i | 0.335210 | + | 0.399488i | 0.907150 | − | 0.420808i | \(-0.138253\pi\) |
−0.571940 | + | 0.820296i | \(0.693809\pi\) | |||||||
\(858\) | −3.94844 | − | 1.44411i | −0.134798 | − | 0.0493011i | ||||
\(859\) | 24.9446 | + | 4.39840i | 0.851098 | + | 0.150071i | 0.582148 | − | 0.813083i | \(-0.302212\pi\) |
0.268950 | + | 0.963154i | \(0.413323\pi\) | |||||||
\(860\) | −9.92221 | + | 7.24622i | −0.338345 | + | 0.247094i | ||||
\(861\) | −14.7933 | − | 2.12119i | −0.504153 | − | 0.0722899i | ||||
\(862\) | −15.1956 | − | 46.5724i | −0.517563 | − | 1.58626i | ||||
\(863\) | 25.0571 | 0.852954 | 0.426477 | − | 0.904498i | \(-0.359755\pi\) | ||||
0.426477 | + | 0.904498i | \(0.359755\pi\) | |||||||
\(864\) | 26.8259 | + | 12.0155i | 0.912635 | + | 0.408776i | ||||
\(865\) | 4.16257 | 0.141532 | ||||||||
\(866\) | −3.75290 | − | 11.5021i | −0.127529 | − | 0.390858i | ||||
\(867\) | 39.5761 | − | 50.3646i | 1.34407 | − | 1.71047i | ||||
\(868\) | 25.2250 | − | 18.4219i | 0.856192 | − | 0.625279i | ||||
\(869\) | −28.0292 | − | 4.94231i | −0.950827 | − | 0.167656i | ||||
\(870\) | −6.21773 | − | 35.5878i | −0.210801 | − | 1.20654i | ||||
\(871\) | 3.83014 | + | 4.56458i | 0.129779 | + | 0.154665i | ||||
\(872\) | −24.3342 | − | 17.5432i | −0.824059 | − | 0.594086i | ||||
\(873\) | −25.5939 | − | 18.8143i | −0.866221 | − | 0.636767i | ||||
\(874\) | 0.308973 | + | 2.17903i | 0.0104512 | + | 0.0737068i | ||||
\(875\) | 2.17894 | + | 12.3574i | 0.0736617 | + | 0.417756i | ||||
\(876\) | −0.288237 | + | 8.17551i | −0.00973864 | + | 0.276225i | ||||
\(877\) | −28.3388 | + | 10.3145i | −0.956932 | + | 0.348295i | −0.772830 | − | 0.634613i | \(-0.781160\pi\) |
−0.184101 | + | 0.982907i | \(0.558937\pi\) | |||||||
\(878\) | 5.99200 | − | 9.61547i | 0.202220 | − | 0.324507i | ||||
\(879\) | −31.3111 | − | 10.2703i | −1.05610 | − | 0.346409i | ||||
\(880\) | −37.5163 | − | 11.9863i | −1.26468 | − | 0.404059i | ||||
\(881\) | 33.7727 | + | 19.4987i | 1.13783 | + | 0.656927i | 0.945892 | − | 0.324480i | \(-0.105189\pi\) |
0.191938 | + | 0.981407i | \(0.438523\pi\) | |||||||
\(882\) | 0.560893 | − | 0.711501i | 0.0188863 | − | 0.0239575i | ||||
\(883\) | 7.27427 | − | 4.19980i | 0.244799 | − | 0.141335i | −0.372582 | − | 0.927999i | \(-0.621527\pi\) |
0.617380 | + | 0.786665i | \(0.288194\pi\) | |||||||
\(884\) | 7.75882 | − | 3.80785i | 0.260957 | − | 0.128072i | ||||
\(885\) | −24.1765 | + | 0.776688i | −0.812685 | + | 0.0261081i | ||||
\(886\) | 9.91061 | − | 5.28519i | 0.332954 | − | 0.177560i | ||||
\(887\) | −18.2466 | − | 15.3107i | −0.612661 | − | 0.514083i | 0.282826 | − | 0.959171i | \(-0.408728\pi\) |
−0.895487 | + | 0.445088i | \(0.853172\pi\) | |||||||
\(888\) | −11.2536 | − | 10.8481i | −0.377647 | − | 0.364038i | ||||
\(889\) | −3.10406 | − | 1.12979i | −0.104107 | − | 0.0378918i | ||||
\(890\) | −16.3493 | − | 20.8732i | −0.548029 | − | 0.699671i | ||||
\(891\) | −26.0469 | + | 3.36448i | −0.872604 | + | 0.112714i | ||||
\(892\) | −10.6067 | − | 2.61688i | −0.355138 | − | 0.0876195i | ||||
\(893\) | −1.37163 | + | 3.76851i | −0.0458997 | + | 0.126108i | ||||
\(894\) | 7.91462 | + | 4.58602i | 0.264704 | + | 0.153379i | ||||
\(895\) | −37.3047 | + | 44.4580i | −1.24696 | + | 1.48607i | ||||
\(896\) | −29.5459 | − | 7.09734i | −0.987060 | − | 0.237105i | ||||
\(897\) | 0.0155893 | + | 0.485258i | 0.000520510 | + | 0.0162023i | ||||
\(898\) | −0.252617 | + | 1.19569i | −0.00842994 | + | 0.0399007i | ||||
\(899\) | 12.7090 | + | 22.0126i | 0.423868 | + | 0.734162i | ||||
\(900\) | 19.2576 | − | 33.1156i | 0.641920 | − | 1.10385i | ||||
\(901\) | 27.0802 | − | 46.9043i | 0.902173 | − | 1.56261i | ||||
\(902\) | −9.86331 | − | 8.85905i | −0.328412 | − | 0.294974i | ||||
\(903\) | 2.63979 | − | 8.04792i | 0.0878467 | − | 0.267818i | ||||
\(904\) | 11.5183 | + | 11.8399i | 0.383091 | + | 0.393788i | ||||
\(905\) | −24.9673 | − | 68.5972i | −0.829942 | − | 2.28025i | ||||
\(906\) | 23.0274 | − | 27.3560i | 0.765034 | − | 0.908843i | ||||
\(907\) | 13.3699 | − | 2.35747i | 0.443940 | − | 0.0782785i | 0.0527900 | − | 0.998606i | \(-0.483189\pi\) |
0.391150 | + | 0.920327i | \(0.372077\pi\) | |||||||
\(908\) | 2.14096 | + | 2.05736i | 0.0710503 | + | 0.0682759i | ||||
\(909\) | −25.5023 | − | 2.82446i | −0.845858 | − | 0.0936814i | ||||
\(910\) | −2.81519 | + | 6.99256i | −0.0933226 | + | 0.231801i | ||||
\(911\) | −2.94930 | + | 2.47476i | −0.0977147 | + | 0.0819924i | −0.690336 | − | 0.723489i | \(-0.742537\pi\) |
0.592622 | + | 0.805481i | \(0.298093\pi\) | |||||||
\(912\) | 18.7289 | − | 12.6907i | 0.620176 | − | 0.420232i | ||||
\(913\) | 9.11271 | − | 51.6808i | 0.301587 | − | 1.71038i | ||||
\(914\) | −1.39853 | + | 41.5107i | −0.0462593 | + | 1.37305i | ||||
\(915\) | −2.52975 | − | 1.98786i | −0.0836310 | − | 0.0657165i | ||||
\(916\) | −29.0332 | + | 43.2725i | −0.959285 | + | 1.42976i | ||||
\(917\) | − | 47.4065i | − | 1.56550i | ||||||
\(918\) | 32.0463 | − | 43.4514i | 1.05769 | − | 1.43411i | ||||
\(919\) | − | 7.14983i | − | 0.235851i | −0.993022 | − | 0.117926i | \(-0.962376\pi\) | ||
0.993022 | − | 0.117926i | \(-0.0376244\pi\) | |||||||
\(920\) | 0.333981 | + | 4.53587i | 0.0110110 | + | 0.149543i | ||||
\(921\) | −4.06254 | + | 28.3323i | −0.133865 | + | 0.933580i | ||||
\(922\) | −8.12393 | − | 0.273703i | −0.267547 | − | 0.00901391i | ||||
\(923\) | 0.125934 | − | 0.714207i | 0.00414516 | − | 0.0235084i | ||||
\(924\) | 25.8241 | − | 8.38119i | 0.849551 | − | 0.275721i | ||||
\(925\) | −15.6052 | + | 13.0943i | −0.513096 | + | 0.430539i | ||||
\(926\) | 36.0910 | + | 14.5301i | 1.18602 | + | 0.477490i | ||||
\(927\) | 42.3341 | − | 28.2121i | 1.39043 | − | 0.926606i | ||||
\(928\) | 8.31423 | − | 23.2872i | 0.272928 | − | 0.764440i | ||||
\(929\) | 24.6142 | − | 4.34015i | 0.807566 | − | 0.142396i | 0.245402 | − | 0.969421i | \(-0.421080\pi\) |
0.562164 | + | 0.827026i | \(0.309969\pi\) | |||||||
\(930\) | −8.41948 | + | 47.3165i | −0.276086 | + | 1.55157i | ||||
\(931\) | −0.238498 | − | 0.655267i | −0.00781644 | − | 0.0214755i | ||||
\(932\) | −13.3498 | + | 1.43630i | −0.437289 | + | 0.0470474i | ||||
\(933\) | −2.40416 | − | 2.68513i | −0.0787086 | − | 0.0879071i | ||||
\(934\) | −15.9099 | + | 17.7134i | −0.520586 | + | 0.579600i | ||||
\(935\) | −36.1708 | + | 62.6497i | −1.18291 | + | 2.04886i | ||||
\(936\) | 4.41107 | − | 2.33468i | 0.144180 | − | 0.0763113i | ||||
\(937\) | −1.71158 | − | 2.96455i | −0.0559150 | − | 0.0968475i | 0.836713 | − | 0.547642i | \(-0.184474\pi\) |
−0.892628 | + | 0.450794i | \(0.851141\pi\) | |||||||
\(938\) | −37.6485 | − | 7.95411i | −1.22927 | − | 0.259711i | ||||
\(939\) | −0.223951 | + | 0.139072i | −0.00730835 | + | 0.00453844i | ||||
\(940\) | −3.35229 | + | 7.57943i | −0.109340 | + | 0.247214i | ||||
\(941\) | 23.4217 | − | 27.9129i | 0.763525 | − | 0.909934i | −0.234540 | − | 0.972106i | \(-0.575358\pi\) |
0.998065 | + | 0.0621723i | \(0.0198028\pi\) | |||||||
\(942\) | 20.3636 | + | 35.3985i | 0.663482 | + | 1.15335i | ||||
\(943\) | −0.523637 | + | 1.43868i | −0.0170520 | + | 0.0468499i | ||||
\(944\) | −14.6562 | − | 7.70068i | −0.477017 | − | 0.250636i | ||||
\(945\) | 4.52970 | + | 46.8703i | 0.147351 | + | 1.52469i | ||||
\(946\) | 5.91527 | − | 4.63323i | 0.192322 | − | 0.150639i | ||||
\(947\) | 6.56612 | + | 2.38987i | 0.213370 | + | 0.0776605i | 0.446494 | − | 0.894787i | \(-0.352672\pi\) |
−0.233124 | + | 0.972447i | \(0.574895\pi\) | |||||||
\(948\) | 26.6311 | − | 20.7922i | 0.864939 | − | 0.675298i | ||||
\(949\) | 1.06403 | + | 0.892826i | 0.0345398 | + | 0.0289824i | ||||
\(950\) | −13.8741 | − | 26.0162i | −0.450135 | − | 0.844077i | ||||
\(951\) | −5.48660 | + | 10.2497i | −0.177915 | + | 0.332368i | ||||
\(952\) | −24.2821 | + | 50.2549i | −0.786987 | + | 1.62877i | ||||
\(953\) | 6.10328 | − | 3.52373i | 0.197705 | − | 0.114145i | −0.397880 | − | 0.917438i | \(-0.630254\pi\) |
0.595584 | + | 0.803293i | \(0.296921\pi\) | |||||||
\(954\) | 14.8028 | − | 27.5499i | 0.479259 | − | 0.891962i | ||||
\(955\) | −13.9439 | − | 8.05052i | −0.451214 | − | 0.260509i | ||||
\(956\) | −40.9005 | − | 2.75908i | −1.32282 | − | 0.0892351i | ||||
\(957\) | 4.53312 | + | 21.6233i | 0.146535 | + | 0.698983i | ||||
\(958\) | 2.65112 | + | 1.65208i | 0.0856536 | + | 0.0533761i | ||||
\(959\) | −26.1951 | + | 9.53424i | −0.845884 | + | 0.307877i | ||||
\(960\) | 40.3819 | − | 23.5617i | 1.30332 | − | 0.760451i | ||||
\(961\) | −0.488585 | − | 2.77090i | −0.0157608 | − | 0.0893840i | ||||
\(962\) | −2.62770 | + | 0.372592i | −0.0847206 | + | 0.0120128i | ||||
\(963\) | 8.10281 | − | 7.73782i | 0.261109 | − | 0.249348i | ||||
\(964\) | 24.2625 | − | 7.02172i | 0.781443 | − | 0.226154i | ||||
\(965\) | 19.6497 | + | 23.4176i | 0.632545 | + | 0.753838i | ||||
\(966\) | −2.01158 | − | 2.40493i | −0.0647215 | − | 0.0773775i | ||||
\(967\) | 26.0009 | + | 4.58465i | 0.836131 | + | 0.147433i | 0.575290 | − | 0.817949i | \(-0.304889\pi\) |
0.260841 | + | 0.965382i | \(0.416000\pi\) | |||||||
\(968\) | −6.76194 | − | 1.91201i | −0.217337 | − | 0.0614544i | ||||
\(969\) | −15.4591 | − | 38.5724i | −0.496619 | − | 1.23912i | ||||
\(970\) | −48.0327 | + | 15.6720i | −1.54224 | + | 0.503199i | ||||
\(971\) | −34.6797 | −1.11292 | −0.556462 | − | 0.830873i | \(-0.687841\pi\) | ||||
−0.556462 | + | 0.830873i | \(0.687841\pi\) | |||||||
\(972\) | 17.7301 | − | 25.6446i | 0.568692 | − | 0.822551i | ||||
\(973\) | 58.6137 | 1.87907 | ||||||||
\(974\) | −54.4317 | + | 17.7599i | −1.74410 | + | 0.569063i | ||||
\(975\) | −2.41972 | − | 6.03750i | −0.0774932 | − | 0.193355i | ||||
\(976\) | −0.834940 | − | 2.03766i | −0.0267258 | − | 0.0652240i | ||||
\(977\) | 44.4064 | + | 7.83005i | 1.42069 | + | 0.250505i | 0.830616 | − | 0.556846i | \(-0.187989\pi\) |
0.590071 | + | 0.807351i | \(0.299100\pi\) | |||||||
\(978\) | −4.37297 | − | 5.22808i | −0.139832 | − | 0.167176i | ||||
\(979\) | 10.4225 | + | 12.4211i | 0.333106 | + | 0.396980i | ||||
\(980\) | −0.400612 | − | 1.38425i | −0.0127971 | − | 0.0442184i | ||||
\(981\) | −23.0112 | + | 21.9747i | −0.734692 | + | 0.701598i | ||||
\(982\) | 22.1552 | − | 3.14147i | 0.707002 | − | 0.100248i | ||||
\(983\) | −6.89149 | − | 39.0836i | −0.219804 | − | 1.24657i | −0.872372 | − | 0.488843i | \(-0.837419\pi\) |
0.652568 | − | 0.757731i | \(-0.273692\pi\) | |||||||
\(984\) | 15.6505 | − | 1.65907i | 0.498918 | − | 0.0528891i | ||||
\(985\) | 6.59884 | − | 2.40178i | 0.210257 | − | 0.0765272i | ||||
\(986\) | −38.5465 | − | 24.0207i | −1.22757 | − | 0.764976i | ||||
\(987\) | −1.17223 | − | 5.59163i | −0.0373125 | − | 0.177984i | ||||
\(988\) | 0.258539 | − | 3.83257i | 0.00822522 | − | 0.121930i | ||||
\(989\) | −0.751448 | − | 0.433849i | −0.0238947 | − | 0.0137956i | ||||
\(990\) | −19.7720 | + | 36.7982i | −0.628396 | + | 1.16952i | ||||
\(991\) | 16.9550 | − | 9.78895i | 0.538592 | − | 0.310956i | −0.205916 | − | 0.978570i | \(-0.566017\pi\) |
0.744508 | + | 0.667613i | \(0.232684\pi\) | |||||||
\(992\) | −20.9889 | + | 25.3279i | −0.666398 | + | 0.804162i | ||||
\(993\) | −10.7978 | + | 20.1717i | −0.342659 | + | 0.640130i | ||||
\(994\) | 2.20378 | + | 4.13244i | 0.0698995 | + | 0.131073i | ||||
\(995\) | −29.0993 | − | 24.4172i | −0.922511 | − | 0.774078i | ||||
\(996\) | 38.3369 | + | 49.1029i | 1.21475 | + | 1.55589i | ||||
\(997\) | 35.2892 | + | 12.8442i | 1.11762 | + | 0.406780i | 0.833783 | − | 0.552092i | \(-0.186170\pi\) |
0.283837 | + | 0.958873i | \(0.408393\pi\) | |||||||
\(998\) | −37.2476 | + | 29.1748i | −1.17905 | + | 0.923512i | ||||
\(999\) | −13.4939 | + | 9.63225i | −0.426928 | + | 0.304751i |
(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 | 108.2.l.a.23.10 | yes | 96 | |
3.2 | odd | 2 | 324.2.l.a.179.7 | 96 | |||
4.3 | odd | 2 | inner | 108.2.l.a.23.4 | ✓ | 96 | |
9.2 | odd | 6 | 972.2.l.b.215.5 | 96 | |||
9.4 | even | 3 | 972.2.l.d.863.2 | 96 | |||
9.5 | odd | 6 | 972.2.l.a.863.15 | 96 | |||
9.7 | even | 3 | 972.2.l.c.215.12 | 96 | |||
12.11 | even | 2 | 324.2.l.a.179.13 | 96 | |||
27.2 | odd | 18 | 972.2.l.d.107.8 | 96 | |||
27.7 | even | 9 | 324.2.l.a.143.13 | 96 | |||
27.11 | odd | 18 | 972.2.l.c.755.14 | 96 | |||
27.16 | even | 9 | 972.2.l.b.755.3 | 96 | |||
27.20 | odd | 18 | inner | 108.2.l.a.47.4 | yes | 96 | |
27.25 | even | 9 | 972.2.l.a.107.9 | 96 | |||
36.7 | odd | 6 | 972.2.l.c.215.14 | 96 | |||
36.11 | even | 6 | 972.2.l.b.215.3 | 96 | |||
36.23 | even | 6 | 972.2.l.a.863.9 | 96 | |||
36.31 | odd | 6 | 972.2.l.d.863.8 | 96 | |||
108.7 | odd | 18 | 324.2.l.a.143.7 | 96 | |||
108.11 | even | 18 | 972.2.l.c.755.12 | 96 | |||
108.43 | odd | 18 | 972.2.l.b.755.5 | 96 | |||
108.47 | even | 18 | inner | 108.2.l.a.47.10 | yes | 96 | |
108.79 | odd | 18 | 972.2.l.a.107.15 | 96 | |||
108.83 | even | 18 | 972.2.l.d.107.2 | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
108.2.l.a.23.4 | ✓ | 96 | 4.3 | odd | 2 | inner | |
108.2.l.a.23.10 | yes | 96 | 1.1 | even | 1 | trivial | |
108.2.l.a.47.4 | yes | 96 | 27.20 | odd | 18 | inner | |
108.2.l.a.47.10 | yes | 96 | 108.47 | even | 18 | inner | |
324.2.l.a.143.7 | 96 | 108.7 | odd | 18 | |||
324.2.l.a.143.13 | 96 | 27.7 | even | 9 | |||
324.2.l.a.179.7 | 96 | 3.2 | odd | 2 | |||
324.2.l.a.179.13 | 96 | 12.11 | even | 2 | |||
972.2.l.a.107.9 | 96 | 27.25 | even | 9 | |||
972.2.l.a.107.15 | 96 | 108.79 | odd | 18 | |||
972.2.l.a.863.9 | 96 | 36.23 | even | 6 | |||
972.2.l.a.863.15 | 96 | 9.5 | odd | 6 | |||
972.2.l.b.215.3 | 96 | 36.11 | even | 6 | |||
972.2.l.b.215.5 | 96 | 9.2 | odd | 6 | |||
972.2.l.b.755.3 | 96 | 27.16 | even | 9 | |||
972.2.l.b.755.5 | 96 | 108.43 | odd | 18 | |||
972.2.l.c.215.12 | 96 | 9.7 | even | 3 | |||
972.2.l.c.215.14 | 96 | 36.7 | odd | 6 | |||
972.2.l.c.755.12 | 96 | 108.11 | even | 18 | |||
972.2.l.c.755.14 | 96 | 27.11 | odd | 18 | |||
972.2.l.d.107.2 | 96 | 108.83 | even | 18 | |||
972.2.l.d.107.8 | 96 | 27.2 | odd | 18 | |||
972.2.l.d.863.2 | 96 | 9.4 | even | 3 | |||
972.2.l.d.863.8 | 96 | 36.31 | odd | 6 |