Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [432,2,Mod(13,432)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(432, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("432.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 432 = 2^{4} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 432.bg (of order \(36\), degree \(12\), 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: | \(3.44953736732\) |
Analytic rank: | \(0\) |
Dimension: | \(840\) |
Relative dimension: | \(70\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 205.25 | ||
Character | \(\chi\) | \(=\) | 432.205 |
Dual form | 432.2.bg.a.373.25 |
$q$-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 \(\left(\mathbb{Z}/432\mathbb{Z}\right)^\times\).
\(n\) | \(271\) | \(325\) | \(353\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.708823 | + | 1.22375i | −0.501214 | + | 0.865323i | ||||
\(3\) | −1.03448 | + | 1.38919i | −0.597258 | + | 0.802050i | ||||
\(4\) | −0.995139 | − | 1.73485i | −0.497569 | − | 0.867424i | ||||
\(5\) | 0.369435 | − | 0.172270i | 0.165216 | − | 0.0770416i | −0.338251 | − | 0.941056i | \(-0.609835\pi\) |
0.503467 | + | 0.864014i | \(0.332057\pi\) | |||||||
\(6\) | −0.966761 | − | 2.25064i | −0.394679 | − | 0.918819i | ||||
\(7\) | −0.192057 | − | 0.0338649i | −0.0725909 | − | 0.0127997i | 0.137235 | − | 0.990539i | \(-0.456179\pi\) |
−0.209826 | + | 0.977739i | \(0.567290\pi\) | |||||||
\(8\) | 2.82840 | + | 0.0118979i | 0.999991 | + | 0.00420653i | ||||
\(9\) | −0.859701 | − | 2.87418i | −0.286567 | − | 0.958060i | ||||
\(10\) | −0.0510479 | + | 0.574205i | −0.0161428 | + | 0.181580i | ||||
\(11\) | 2.20949 | − | 4.73827i | 0.666186 | − | 1.42864i | −0.224706 | − | 0.974427i | \(-0.572142\pi\) |
0.890892 | − | 0.454215i | \(-0.150080\pi\) | |||||||
\(12\) | 3.43949 | + | 0.412229i | 0.992894 | + | 0.119000i | ||||
\(13\) | −3.16428 | − | 0.276839i | −0.877614 | − | 0.0767813i | −0.360562 | − | 0.932735i | \(-0.617415\pi\) |
−0.517052 | + | 0.855954i | \(0.672971\pi\) | |||||||
\(14\) | 0.177577 | − | 0.211026i | 0.0474595 | − | 0.0563992i | ||||
\(15\) | −0.142857 | + | 0.691425i | −0.0368854 | + | 0.178525i | ||||
\(16\) | −2.01940 | + | 3.45283i | −0.504849 | + | 0.863207i | ||||
\(17\) | −2.82437 | − | 4.89195i | −0.685011 | − | 1.18647i | −0.973433 | − | 0.228970i | \(-0.926464\pi\) |
0.288423 | − | 0.957503i | \(-0.406869\pi\) | |||||||
\(18\) | 4.12666 | + | 0.985226i | 0.972663 | + | 0.232220i | ||||
\(19\) | 6.31308 | − | 1.69158i | 1.44832 | − | 0.388076i | 0.552881 | − | 0.833260i | \(-0.313528\pi\) |
0.895439 | + | 0.445184i | \(0.146862\pi\) | |||||||
\(20\) | −0.666501 | − | 0.469480i | −0.149034 | − | 0.104979i | ||||
\(21\) | 0.245724 | − | 0.231772i | 0.0536215 | − | 0.0505767i | ||||
\(22\) | 4.23233 | + | 6.06246i | 0.902335 | + | 1.29252i | ||||
\(23\) | 6.29539 | − | 1.11005i | 1.31268 | − | 0.231461i | 0.526879 | − | 0.849940i | \(-0.323362\pi\) |
0.785801 | + | 0.618479i | \(0.212251\pi\) | |||||||
\(24\) | −2.94245 | + | 3.91688i | −0.600626 | + | 0.799530i | ||||
\(25\) | −3.10713 | + | 3.70294i | −0.621427 | + | 0.740587i | ||||
\(26\) | 2.58170 | − | 3.67607i | 0.506313 | − | 0.720937i | ||||
\(27\) | 4.88213 | + | 1.77900i | 0.939566 | + | 0.342368i | ||||
\(28\) | 0.132373 | + | 0.366891i | 0.0250162 | + | 0.0693358i | ||||
\(29\) | 0.0432539 | + | 0.494394i | 0.00803204 | + | 0.0918067i | 0.999153 | − | 0.0411598i | \(-0.0131053\pi\) |
−0.991121 | + | 0.132967i | \(0.957550\pi\) | |||||||
\(30\) | −0.744873 | − | 0.664920i | −0.135995 | − | 0.121397i | ||||
\(31\) | −0.0834595 | − | 0.473322i | −0.0149898 | − | 0.0850112i | 0.976395 | − | 0.215992i | \(-0.0692985\pi\) |
−0.991385 | + | 0.130981i | \(0.958187\pi\) | |||||||
\(32\) | −2.79401 | − | 4.91869i | −0.493916 | − | 0.869510i | ||||
\(33\) | 4.29668 | + | 7.97105i | 0.747956 | + | 1.38758i | ||||
\(34\) | 7.98852 | + | 0.0112014i | 1.37002 | + | 0.00192102i | ||||
\(35\) | −0.0767866 | + | 0.0205749i | −0.0129793 | + | 0.00347779i | ||||
\(36\) | −4.13075 | + | 4.35166i | −0.688458 | + | 0.725277i | ||||
\(37\) | 5.20800 | + | 1.39548i | 0.856190 | + | 0.229415i | 0.660107 | − | 0.751172i | \(-0.270511\pi\) |
0.196083 | + | 0.980587i | \(0.437178\pi\) | |||||||
\(38\) | −2.40478 | + | 8.92468i | −0.390107 | + | 1.44777i | ||||
\(39\) | 3.65797 | − | 4.10941i | 0.585744 | − | 0.658032i | ||||
\(40\) | 1.04696 | − | 0.482854i | 0.165539 | − | 0.0763459i | ||||
\(41\) | −4.59889 | − | 5.48075i | −0.718226 | − | 0.855949i | 0.276231 | − | 0.961091i | \(-0.410915\pi\) |
−0.994457 | + | 0.105143i | \(0.966470\pi\) | |||||||
\(42\) | 0.109456 | + | 0.464991i | 0.0168894 | + | 0.0717497i | ||||
\(43\) | −2.26439 | + | 4.85599i | −0.345316 | + | 0.740532i | −0.999880 | − | 0.0154742i | \(-0.995074\pi\) |
0.654565 | + | 0.756006i | \(0.272852\pi\) | |||||||
\(44\) | −10.4189 | + | 0.882103i | −1.57071 | + | 0.132982i | ||||
\(45\) | −0.812739 | − | 0.913721i | −0.121156 | − | 0.136209i | ||||
\(46\) | −3.10390 | + | 8.49083i | −0.457645 | + | 1.25190i | ||||
\(47\) | −0.983159 | + | 5.57577i | −0.143408 | + | 0.813310i | 0.825223 | + | 0.564807i | \(0.191050\pi\) |
−0.968631 | + | 0.248502i | \(0.920062\pi\) | |||||||
\(48\) | −2.70761 | − | 6.37721i | −0.390810 | − | 0.920471i | ||||
\(49\) | −6.54211 | − | 2.38113i | −0.934587 | − | 0.340162i | ||||
\(50\) | −2.32907 | − | 6.42709i | −0.329380 | − | 0.908928i | ||||
\(51\) | 9.71761 | + | 1.13704i | 1.36074 | + | 0.159218i | ||||
\(52\) | 2.66863 | + | 5.76505i | 0.370072 | + | 0.799468i | ||||
\(53\) | 7.79778 | − | 7.79778i | 1.07111 | − | 1.07111i | 0.0738371 | − | 0.997270i | \(-0.476476\pi\) |
0.997270 | − | 0.0738371i | \(-0.0235245\pi\) | |||||||
\(54\) | −5.63762 | + | 4.71352i | −0.767182 | + | 0.641429i | ||||
\(55\) | − | 2.13111i | − | 0.287359i | ||||||
\(56\) | −0.542813 | − | 0.0980686i | −0.0725364 | − | 0.0131050i | ||||
\(57\) | −4.18082 | + | 10.5200i | −0.553764 | + | 1.39341i | ||||
\(58\) | −0.635675 | − | 0.297506i | −0.0834683 | − | 0.0390645i | ||||
\(59\) | 0.187215 | − | 0.0872996i | 0.0243733 | − | 0.0113654i | −0.410393 | − | 0.911909i | \(-0.634609\pi\) |
0.434767 | + | 0.900543i | \(0.356831\pi\) | |||||||
\(60\) | 1.34168 | − | 0.440229i | 0.173210 | − | 0.0568333i | ||||
\(61\) | 11.1903 | − | 7.83552i | 1.43277 | − | 1.00324i | 0.438231 | − | 0.898862i | \(-0.355605\pi\) |
0.994538 | − | 0.104374i | \(-0.0332838\pi\) | |||||||
\(62\) | 0.638387 | + | 0.233368i | 0.0810753 | + | 0.0296378i | ||||
\(63\) | 0.0677781 | + | 0.581121i | 0.00853923 | + | 0.0732144i | ||||
\(64\) | 7.99972 | + | 0.0673039i | 0.999965 | + | 0.00841299i | ||||
\(65\) | −1.21669 | + | 0.442838i | −0.150911 | + | 0.0549273i | ||||
\(66\) | −12.8002 | − | 0.391991i | −1.57559 | − | 0.0482508i | ||||
\(67\) | −0.690597 | − | 0.0604194i | −0.0843699 | − | 0.00738141i | 0.0448926 | − | 0.998992i | \(-0.485705\pi\) |
−0.129262 | + | 0.991610i | \(0.541261\pi\) | |||||||
\(68\) | −5.67616 | + | 9.76803i | −0.688335 | + | 1.18455i | ||||
\(69\) | −4.97039 | + | 9.89382i | −0.598365 | + | 1.19108i | ||||
\(70\) | 0.0292495 | − | 0.108552i | 0.00349599 | − | 0.0129744i | ||||
\(71\) | 10.2594 | − | 5.92327i | 1.21757 | − | 0.702963i | 0.253170 | − | 0.967422i | \(-0.418527\pi\) |
0.964397 | + | 0.264459i | \(0.0851933\pi\) | |||||||
\(72\) | −2.39738 | − | 8.13957i | −0.282534 | − | 0.959257i | ||||
\(73\) | −3.72854 | − | 2.15267i | −0.436393 | − | 0.251951i | 0.265674 | − | 0.964063i | \(-0.414406\pi\) |
−0.702066 | + | 0.712112i | \(0.747739\pi\) | |||||||
\(74\) | −5.39928 | + | 5.38416i | −0.627653 | + | 0.625895i | ||||
\(75\) | −1.92982 | − | 8.14702i | −0.222836 | − | 0.940736i | ||||
\(76\) | −9.21703 | − | 9.26888i | −1.05727 | − | 1.06321i | ||||
\(77\) | −0.584810 | + | 0.835195i | −0.0666453 | + | 0.0951793i | ||||
\(78\) | 2.43604 | + | 7.38930i | 0.275827 | + | 0.836673i | ||||
\(79\) | −9.69633 | − | 8.13619i | −1.09092 | − | 0.915393i | −0.0941413 | − | 0.995559i | \(-0.530011\pi\) |
−0.996782 | + | 0.0801659i | \(0.974455\pi\) | |||||||
\(80\) | −0.151216 | + | 1.62348i | −0.0169064 | + | 0.181510i | ||||
\(81\) | −7.52183 | + | 4.94187i | −0.835759 | + | 0.549097i | ||||
\(82\) | 9.96688 | − | 1.74302i | 1.10066 | − | 0.192485i | ||||
\(83\) | −0.654837 | − | 7.48482i | −0.0718777 | − | 0.821566i | −0.943497 | − | 0.331382i | \(-0.892485\pi\) |
0.871619 | − | 0.490184i | \(-0.163070\pi\) | |||||||
\(84\) | −0.646619 | − | 0.195650i | −0.0705519 | − | 0.0213471i | ||||
\(85\) | −1.88616 | − | 1.32070i | −0.204583 | − | 0.143250i | ||||
\(86\) | −4.33748 | − | 6.21309i | −0.467723 | − | 0.669975i | ||||
\(87\) | −0.731553 | − | 0.451353i | −0.0784307 | − | 0.0483901i | ||||
\(88\) | 6.30570 | − | 13.3754i | 0.672190 | − | 1.42583i | ||||
\(89\) | −6.13508 | − | 3.54209i | −0.650318 | − | 0.375461i | 0.138260 | − | 0.990396i | \(-0.455849\pi\) |
−0.788578 | + | 0.614935i | \(0.789182\pi\) | |||||||
\(90\) | 1.69426 | − | 0.346924i | 0.178590 | − | 0.0365690i | ||||
\(91\) | 0.598349 | + | 0.160327i | 0.0627240 | + | 0.0168068i | ||||
\(92\) | −8.19055 | − | 9.81690i | −0.853924 | − | 1.02348i | ||||
\(93\) | 0.743872 | + | 0.373702i | 0.0771360 | + | 0.0387510i | ||||
\(94\) | −6.12648 | − | 5.15538i | −0.631898 | − | 0.531737i | ||||
\(95\) | 2.04086 | − | 1.71249i | 0.209388 | − | 0.175697i | ||||
\(96\) | 9.72335 | + | 1.20687i | 0.992385 | + | 0.123176i | ||||
\(97\) | 1.98469 | − | 0.722370i | 0.201515 | − | 0.0733455i | −0.239291 | − | 0.970948i | \(-0.576915\pi\) |
0.440806 | + | 0.897602i | \(0.354693\pi\) | |||||||
\(98\) | 7.55112 | − | 6.31812i | 0.762778 | − | 0.638226i | ||||
\(99\) | −15.5181 | − | 2.27698i | −1.55963 | − | 0.228845i | ||||
\(100\) | 9.51606 | + | 1.70547i | 0.951606 | + | 0.170547i | ||||
\(101\) | −8.31518 | − | 11.8753i | −0.827392 | − | 1.18164i | −0.981096 | − | 0.193521i | \(-0.938009\pi\) |
0.153704 | − | 0.988117i | \(-0.450880\pi\) | |||||||
\(102\) | −8.27953 | + | 11.0860i | −0.819795 | + | 1.09768i | ||||
\(103\) | −2.02300 | + | 5.55815i | −0.199332 | + | 0.547660i | −0.998576 | − | 0.0533463i | \(-0.983011\pi\) |
0.799244 | + | 0.601007i | \(0.205234\pi\) | |||||||
\(104\) | −8.94657 | − | 0.820660i | −0.877284 | − | 0.0804724i | ||||
\(105\) | 0.0508517 | − | 0.127955i | 0.00496262 | − | 0.0124872i | ||||
\(106\) | 4.01530 | + | 15.0698i | 0.390001 | + | 1.46371i | ||||
\(107\) | 2.26558 | − | 2.26558i | 0.219022 | − | 0.219022i | −0.589064 | − | 0.808086i | \(-0.700503\pi\) |
0.808086 | + | 0.589064i | \(0.200503\pi\) | |||||||
\(108\) | −1.77211 | − | 10.2401i | −0.170521 | − | 0.985354i | ||||
\(109\) | 11.8467 | + | 11.8467i | 1.13470 | + | 1.13470i | 0.989385 | + | 0.145318i | \(0.0464207\pi\) |
0.145318 | + | 0.989385i | \(0.453579\pi\) | |||||||
\(110\) | 2.60795 | + | 1.51058i | 0.248658 | + | 0.144028i | ||||
\(111\) | −7.32616 | + | 5.79131i | −0.695369 | + | 0.549687i | ||||
\(112\) | 0.504770 | − | 0.594755i | 0.0476963 | − | 0.0561990i | ||||
\(113\) | 10.1615 | + | 3.69850i | 0.955917 | + | 0.347925i | 0.772432 | − | 0.635097i | \(-0.219040\pi\) |
0.183485 | + | 0.983023i | \(0.441262\pi\) | |||||||
\(114\) | −9.91039 | − | 12.5731i | −0.928193 | − | 1.17758i | ||||
\(115\) | 2.13451 | − | 1.49460i | 0.199044 | − | 0.139372i | ||||
\(116\) | 0.814655 | − | 0.567030i | 0.0756388 | − | 0.0526474i | ||||
\(117\) | 1.92465 | + | 9.33272i | 0.177934 | + | 0.862810i | ||||
\(118\) | −0.0258690 | + | 0.290984i | −0.00238144 | + | 0.0267873i | ||||
\(119\) | 0.376776 | + | 1.03518i | 0.0345390 | + | 0.0948951i | ||||
\(120\) | −0.412283 | + | 1.95393i | −0.0376361 | + | 0.178368i | ||||
\(121\) | −10.4987 | − | 12.5118i | −0.954424 | − | 1.13744i | ||||
\(122\) | 1.65680 | + | 19.2481i | 0.150000 | + | 1.74264i | ||||
\(123\) | 12.3713 | − | 0.719013i | 1.11548 | − | 0.0648312i | ||||
\(124\) | −0.738089 | + | 0.615811i | −0.0662823 | + | 0.0553015i | ||||
\(125\) | −1.03748 | + | 3.87194i | −0.0927954 | + | 0.346317i | ||||
\(126\) | −0.759191 | − | 0.328969i | −0.0676341 | − | 0.0293069i | ||||
\(127\) | −5.16934 | + | 8.95355i | −0.458704 | + | 0.794499i | −0.998893 | − | 0.0470448i | \(-0.985020\pi\) |
0.540188 | + | 0.841544i | \(0.318353\pi\) | |||||||
\(128\) | −5.75275 | + | 9.74196i | −0.508476 | + | 0.861076i | ||||
\(129\) | −4.40344 | − | 8.16909i | −0.387701 | − | 0.719249i | ||||
\(130\) | 0.320492 | − | 1.80282i | 0.0281090 | − | 0.158118i | ||||
\(131\) | 2.41851 | − | 3.45399i | 0.211306 | − | 0.301777i | −0.699482 | − | 0.714650i | \(-0.746586\pi\) |
0.910788 | + | 0.412874i | \(0.135475\pi\) | |||||||
\(132\) | 9.55276 | − | 15.3864i | 0.831461 | − | 1.33921i | ||||
\(133\) | −1.26976 | + | 0.111090i | −0.110102 | + | 0.00963268i | ||||
\(134\) | 0.563450 | − | 0.802293i | 0.0486746 | − | 0.0693075i | ||||
\(135\) | 2.11009 | − | 0.183823i | 0.181608 | − | 0.0158209i | ||||
\(136\) | −7.93025 | − | 13.8700i | −0.680014 | − | 1.18934i | ||||
\(137\) | −6.60058 | + | 7.86626i | −0.563925 | + | 0.672060i | −0.970372 | − | 0.241614i | \(-0.922323\pi\) |
0.406447 | + | 0.913674i | \(0.366768\pi\) | |||||||
\(138\) | −8.58446 | − | 13.0955i | −0.730757 | − | 1.11476i | ||||
\(139\) | −8.69137 | − | 6.08576i | −0.737192 | − | 0.516187i | 0.143632 | − | 0.989631i | \(-0.454122\pi\) |
−0.880824 | + | 0.473444i | \(0.843011\pi\) | |||||||
\(140\) | 0.112108 | + | 0.112738i | 0.00947482 | + | 0.00952811i | ||||
\(141\) | −6.72875 | − | 7.13382i | −0.566663 | − | 0.600776i | ||||
\(142\) | −0.0234915 | + | 16.7535i | −0.00197136 | + | 1.40592i | ||||
\(143\) | −8.30319 | + | 14.3815i | −0.694348 | + | 1.20265i | ||||
\(144\) | 11.6601 | + | 2.83571i | 0.971678 | + | 0.236309i | ||||
\(145\) | 0.101149 | + | 0.175195i | 0.00839995 | + | 0.0145491i | ||||
\(146\) | 5.27721 | − | 3.03694i | 0.436745 | − | 0.251339i | ||||
\(147\) | 10.0755 | − | 6.62500i | 0.831016 | − | 0.546421i | ||||
\(148\) | −2.76174 | − | 10.4238i | −0.227014 | − | 0.856830i | ||||
\(149\) | −1.55976 | + | 17.8282i | −0.127781 | + | 1.46054i | 0.613685 | + | 0.789551i | \(0.289686\pi\) |
−0.741466 | + | 0.670990i | \(0.765869\pi\) | |||||||
\(150\) | 11.3378 | + | 3.41318i | 0.925730 | + | 0.278685i | ||||
\(151\) | 0.0207999 | + | 0.0571473i | 0.00169267 | + | 0.00465058i | 0.940536 | − | 0.339694i | \(-0.110323\pi\) |
−0.938843 | + | 0.344344i | \(0.888101\pi\) | |||||||
\(152\) | 17.8761 | − | 4.70937i | 1.44994 | − | 0.381980i | ||||
\(153\) | −11.6322 | + | 12.3234i | −0.940411 | + | 0.996285i | ||||
\(154\) | −0.607545 | − | 1.30767i | −0.0489574 | − | 0.105375i | ||||
\(155\) | −0.112372 | − | 0.160484i | −0.00902595 | − | 0.0128904i | ||||
\(156\) | −10.7694 | − | 2.25659i | −0.862241 | − | 0.180672i | ||||
\(157\) | 2.48487 | + | 5.32883i | 0.198314 | + | 0.425287i | 0.980166 | − | 0.198178i | \(-0.0635023\pi\) |
−0.781852 | + | 0.623465i | \(0.785725\pi\) | |||||||
\(158\) | 16.8297 | − | 6.09879i | 1.33890 | − | 0.485194i | ||||
\(159\) | 2.76595 | + | 18.8993i | 0.219354 | + | 1.49881i | ||||
\(160\) | −1.87955 | − | 1.33581i | −0.148591 | − | 0.105605i | ||||
\(161\) | −1.24667 | −0.0982512 | ||||||||
\(162\) | −0.715977 | − | 12.7078i | −0.0562524 | − | 0.998417i | ||||
\(163\) | 3.50392 | + | 3.50392i | 0.274448 | + | 0.274448i | 0.830888 | − | 0.556440i | \(-0.187833\pi\) |
−0.556440 | + | 0.830888i | \(0.687833\pi\) | |||||||
\(164\) | −4.93173 | + | 13.4325i | −0.385103 | + | 1.04890i | ||||
\(165\) | 2.96052 | + | 2.20459i | 0.230476 | + | 0.171627i | ||||
\(166\) | 9.62373 | + | 4.50406i | 0.746947 | + | 0.349583i | ||||
\(167\) | 3.46846 | − | 9.52952i | 0.268398 | − | 0.737417i | −0.730137 | − | 0.683301i | \(-0.760544\pi\) |
0.998535 | − | 0.0541158i | \(-0.0172340\pi\) | |||||||
\(168\) | 0.697765 | − | 0.652620i | 0.0538337 | − | 0.0503507i | ||||
\(169\) | −2.86645 | − | 0.505432i | −0.220496 | − | 0.0388794i | ||||
\(170\) | 2.95317 | − | 1.37205i | 0.226497 | − | 0.105231i | ||||
\(171\) | −10.2893 | − | 16.6907i | −0.786841 | − | 1.27637i | ||||
\(172\) | 10.6778 | − | 0.904019i | 0.814174 | − | 0.0689308i | ||||
\(173\) | −0.0760281 | − | 0.0354525i | −0.00578031 | − | 0.00269540i | 0.419726 | − | 0.907651i | \(-0.362126\pi\) |
−0.425506 | + | 0.904955i | \(0.639904\pi\) | |||||||
\(174\) | 1.07089 | − | 0.575310i | 0.0811837 | − | 0.0436141i | ||||
\(175\) | 0.722147 | − | 0.605954i | 0.0545892 | − | 0.0458058i | ||||
\(176\) | 11.8986 | + | 17.1974i | 0.896890 | + | 1.29631i | ||||
\(177\) | −0.0723941 | + | 0.350387i | −0.00544147 | + | 0.0263367i | ||||
\(178\) | 8.68333 | − | 4.99710i | 0.650843 | − | 0.374549i | ||||
\(179\) | −1.25496 | + | 4.68356i | −0.0937999 | + | 0.350066i | −0.996835 | − | 0.0795012i | \(-0.974667\pi\) |
0.903035 | + | 0.429567i | \(0.141334\pi\) | |||||||
\(180\) | −0.776379 | + | 2.31926i | −0.0578679 | + | 0.172867i | ||||
\(181\) | −4.84103 | − | 18.0670i | −0.359831 | − | 1.34291i | −0.874295 | − | 0.485395i | \(-0.838676\pi\) |
0.514465 | − | 0.857512i | \(-0.327991\pi\) | |||||||
\(182\) | −0.620324 | + | 0.618587i | −0.0459815 | + | 0.0458527i | ||||
\(183\) | −0.691097 | + | 23.6511i | −0.0510874 | + | 1.74834i | ||||
\(184\) | 17.8191 | − | 3.06476i | 1.31364 | − | 0.225937i | ||||
\(185\) | 2.16442 | − | 0.381645i | 0.159131 | − | 0.0280591i | ||||
\(186\) | −0.984592 | + | 0.645427i | −0.0721938 | + | 0.0473250i | ||||
\(187\) | −29.4198 | + | 2.57390i | −2.15139 | + | 0.188222i | ||||
\(188\) | 10.6515 | − | 3.84303i | 0.776840 | − | 0.280282i | ||||
\(189\) | −0.877403 | − | 0.507002i | −0.0638217 | − | 0.0368790i | ||||
\(190\) | 0.649048 | + | 3.71136i | 0.0470869 | + | 0.269250i | ||||
\(191\) | 14.0263 | + | 11.7695i | 1.01491 | + | 0.851609i | 0.988979 | − | 0.148055i | \(-0.0473013\pi\) |
0.0259285 | + | 0.999664i | \(0.491746\pi\) | |||||||
\(192\) | −8.36905 | + | 11.0435i | −0.603984 | + | 0.796996i | ||||
\(193\) | 4.10355 | + | 23.2724i | 0.295380 | + | 1.67519i | 0.665653 | + | 0.746262i | \(0.268153\pi\) |
−0.370272 | + | 0.928923i | \(0.620736\pi\) | |||||||
\(194\) | −0.522796 | + | 2.94081i | −0.0375346 | + | 0.211138i | ||||
\(195\) | 0.643453 | − | 2.14832i | 0.0460786 | − | 0.153844i | ||||
\(196\) | 2.37940 | + | 13.7191i | 0.169957 | + | 0.979938i | ||||
\(197\) | −0.291406 | − | 1.08754i | −0.0207618 | − | 0.0774842i | 0.954768 | − | 0.297353i | \(-0.0961038\pi\) |
−0.975529 | + | 0.219869i | \(0.929437\pi\) | |||||||
\(198\) | 13.7861 | − | 17.3764i | 0.979734 | − | 1.23489i | ||||
\(199\) | −6.21627 | + | 3.58897i | −0.440660 | + | 0.254415i | −0.703877 | − | 0.710321i | \(-0.748550\pi\) |
0.263218 | + | 0.964736i | \(0.415216\pi\) | |||||||
\(200\) | −8.83228 | + | 10.4364i | −0.624536 | + | 0.737967i | ||||
\(201\) | 0.798343 | − | 0.896868i | 0.0563108 | − | 0.0632602i | ||||
\(202\) | 20.4264 | − | 1.75822i | 1.43720 | − | 0.123708i | ||||
\(203\) | 0.00843538 | − | 0.0964168i | 0.000592048 | − | 0.00676714i | ||||
\(204\) | −7.69778 | − | 17.9901i | −0.538952 | − | 1.25956i | ||||
\(205\) | −2.64316 | − | 1.23253i | −0.184606 | − | 0.0860833i | ||||
\(206\) | −5.36784 | − | 6.41539i | −0.373995 | − | 0.446982i | ||||
\(207\) | −8.60263 | − | 17.1398i | −0.597924 | − | 1.19130i | ||||
\(208\) | 7.34583 | − | 10.3667i | 0.509341 | − | 0.718800i | ||||
\(209\) | 5.93351 | − | 33.6506i | 0.410429 | − | 2.32766i | ||||
\(210\) | 0.120541 | + | 0.152928i | 0.00831811 | + | 0.0105530i | ||||
\(211\) | −3.73651 | − | 8.01297i | −0.257232 | − | 0.551635i | 0.734702 | − | 0.678390i | \(-0.237322\pi\) |
−0.991934 | + | 0.126754i | \(0.959544\pi\) | |||||||
\(212\) | −21.2878 | − | 5.76809i | −1.46205 | − | 0.396154i | ||||
\(213\) | −2.38460 | + | 20.3798i | −0.163390 | + | 1.39640i | ||||
\(214\) | 1.16661 | + | 4.37841i | 0.0797481 | + | 0.299302i | ||||
\(215\) | 2.18406i | 0.148952i | ||||||||
\(216\) | 13.7875 | + | 5.08980i | 0.938118 | + | 0.346317i | ||||
\(217\) | 0.0937314i | 0.00636290i | ||||||||
\(218\) | −22.8945 | + | 6.10018i | −1.55061 | + | 0.413156i | ||||
\(219\) | 6.84757 | − | 2.95275i | 0.462716 | − | 0.199529i | ||||
\(220\) | −3.69715 | + | 2.12075i | −0.249262 | + | 0.142981i | ||||
\(221\) | 7.58283 | + | 16.2614i | 0.510076 | + | 1.09386i | ||||
\(222\) | −1.89417 | − | 13.0704i | −0.127129 | − | 0.877229i | ||||
\(223\) | 2.71621 | − | 15.4044i | 0.181891 | − | 1.03155i | −0.747995 | − | 0.663705i | \(-0.768983\pi\) |
0.929885 | − | 0.367849i | \(-0.119906\pi\) | |||||||
\(224\) | 0.370040 | + | 1.03929i | 0.0247243 | + | 0.0694404i | ||||
\(225\) | 13.3141 | + | 5.74704i | 0.887608 | + | 0.383136i | ||||
\(226\) | −11.7288 | + | 9.81362i | −0.780187 | + | 0.652792i | ||||
\(227\) | 25.8923 | + | 12.0738i | 1.71853 | + | 0.801366i | 0.993652 | + | 0.112493i | \(0.0358837\pi\) |
0.724882 | + | 0.688873i | \(0.241894\pi\) | |||||||
\(228\) | 22.4111 | − | 3.21575i | 1.48421 | − | 0.212968i | ||||
\(229\) | −1.81315 | + | 20.7244i | −0.119816 | + | 1.36951i | 0.663636 | + | 0.748056i | \(0.269012\pi\) |
−0.783452 | + | 0.621452i | \(0.786543\pi\) | |||||||
\(230\) | 0.316029 | + | 3.67151i | 0.0208383 | + | 0.242092i | ||||
\(231\) | −0.555271 | − | 1.67641i | −0.0365341 | − | 0.110299i | ||||
\(232\) | 0.116457 | + | 1.39886i | 0.00764579 | + | 0.0918397i | ||||
\(233\) | 2.42900 | − | 1.40238i | 0.159129 | − | 0.0918733i | −0.418321 | − | 0.908299i | \(-0.637381\pi\) |
0.577450 | + | 0.816426i | \(0.304048\pi\) | |||||||
\(234\) | −12.7852 | − | 4.25995i | −0.835793 | − | 0.278482i | ||||
\(235\) | 0.597326 | + | 2.22925i | 0.0389653 | + | 0.145420i | ||||
\(236\) | −0.337756 | − | 0.237914i | −0.0219861 | − | 0.0154869i | ||||
\(237\) | 21.3334 | − | 5.05333i | 1.38575 | − | 0.328249i | ||||
\(238\) | −1.53388 | − | 0.272682i | −0.0994264 | − | 0.0176753i | ||||
\(239\) | 2.98553 | + | 16.9318i | 0.193118 | + | 1.09522i | 0.915074 | + | 0.403286i | \(0.132132\pi\) |
−0.721956 | + | 0.691939i | \(0.756757\pi\) | |||||||
\(240\) | −2.09889 | − | 1.88952i | −0.135483 | − | 0.121968i | ||||
\(241\) | 4.47696 | + | 3.75662i | 0.288387 | + | 0.241985i | 0.775491 | − | 0.631359i | \(-0.217502\pi\) |
−0.487104 | + | 0.873344i | \(0.661947\pi\) | |||||||
\(242\) | 22.7531 | − | 3.97909i | 1.46262 | − | 0.255786i | ||||
\(243\) | 0.915984 | − | 15.5615i | 0.0587604 | − | 0.998272i | ||||
\(244\) | −24.7293 | − | 11.6160i | −1.58313 | − | 0.743639i | ||||
\(245\) | −2.82708 | + | 0.247337i | −0.180615 | + | 0.0158018i | ||||
\(246\) | −7.88915 | + | 15.6490i | −0.502994 | + | 0.997745i | ||||
\(247\) | −20.4447 | + | 3.60495i | −1.30086 | + | 0.229377i | ||||
\(248\) | −0.230426 | − | 1.33974i | −0.0146320 | − | 0.0850735i | ||||
\(249\) | 11.0753 | + | 6.83321i | 0.701866 | + | 0.433037i | ||||
\(250\) | −4.00290 | − | 4.01415i | −0.253166 | − | 0.253877i | ||||
\(251\) | 0.903677 | + | 3.37257i | 0.0570396 | + | 0.212875i | 0.988563 | − | 0.150806i | \(-0.0481868\pi\) |
−0.931524 | + | 0.363680i | \(0.881520\pi\) | |||||||
\(252\) | 0.940709 | − | 0.695881i | 0.0592591 | − | 0.0438364i | ||||
\(253\) | 8.64991 | − | 32.2819i | 0.543815 | − | 2.02954i | ||||
\(254\) | −7.29278 | − | 12.6725i | −0.457590 | − | 0.795142i | ||||
\(255\) | 3.78590 | − | 1.25399i | 0.237082 | − | 0.0785281i | ||||
\(256\) | −7.84407 | − | 13.9453i | −0.490254 | − | 0.871580i | ||||
\(257\) | −1.69336 | + | 1.42090i | −0.105629 | + | 0.0886332i | −0.694073 | − | 0.719905i | \(-0.744185\pi\) |
0.588444 | + | 0.808538i | \(0.299741\pi\) | |||||||
\(258\) | 13.1182 | + | 0.401731i | 0.816704 | + | 0.0250107i | ||||
\(259\) | −0.952978 | − | 0.444381i | −0.0592151 | − | 0.0276125i | ||||
\(260\) | 1.97903 | + | 1.67008i | 0.122734 | + | 0.103574i | ||||
\(261\) | 1.38379 | − | 0.549351i | 0.0856546 | − | 0.0340039i | ||||
\(262\) | 2.51253 | + | 5.40793i | 0.155225 | + | 0.334103i | ||||
\(263\) | −10.7948 | − | 1.90341i | −0.665636 | − | 0.117370i | −0.169387 | − | 0.985550i | \(-0.554179\pi\) |
−0.496249 | + | 0.868180i | \(0.665290\pi\) | |||||||
\(264\) | 12.0579 | + | 22.5964i | 0.742113 | + | 1.39072i | ||||
\(265\) | 1.53744 | − | 4.22409i | 0.0944445 | − | 0.259484i | ||||
\(266\) | 0.764089 | − | 1.63261i | 0.0468493 | − | 0.100102i | ||||
\(267\) | 11.2673 | − | 4.85858i | 0.689545 | − | 0.297340i | ||||
\(268\) | 0.582421 | + | 1.25821i | 0.0355770 | + | 0.0768572i | ||||
\(269\) | 1.09526 | + | 1.09526i | 0.0667790 | + | 0.0667790i | 0.739708 | − | 0.672929i | \(-0.234964\pi\) |
−0.672929 | + | 0.739708i | \(0.734964\pi\) | |||||||
\(270\) | −1.27073 | + | 2.71253i | −0.0773342 | + | 0.165079i | ||||
\(271\) | 21.3879 | 1.29922 | 0.649611 | − | 0.760266i | \(-0.274932\pi\) | ||||
0.649611 | + | 0.760266i | \(0.274932\pi\) | |||||||
\(272\) | 22.5946 | + | 0.126728i | 1.37000 | + | 0.00768404i | ||||
\(273\) | −0.841705 | + | 0.665366i | −0.0509423 | + | 0.0402698i | ||||
\(274\) | −4.94771 | − | 13.6533i | −0.298902 | − | 0.824824i | ||||
\(275\) | 10.6803 | + | 22.9040i | 0.644048 | + | 1.38116i | ||||
\(276\) | 22.1105 | − | 1.22285i | 1.33090 | − | 0.0736069i | ||||
\(277\) | 4.09023 | + | 5.84145i | 0.245758 | + | 0.350979i | 0.923012 | − | 0.384770i | \(-0.125719\pi\) |
−0.677254 | + | 0.735749i | \(0.736830\pi\) | |||||||
\(278\) | 13.6081 | − | 6.32235i | 0.816160 | − | 0.379189i | ||||
\(279\) | −1.28866 | + | 0.646793i | −0.0771503 | + | 0.0387225i | ||||
\(280\) | −0.217428 | + | 0.0572805i | −0.0129938 | + | 0.00342316i | ||||
\(281\) | −8.46146 | − | 23.2477i | −0.504768 | − | 1.38684i | −0.886570 | − | 0.462595i | \(-0.846918\pi\) |
0.381801 | − | 0.924244i | \(-0.375304\pi\) | |||||||
\(282\) | 13.4995 | − | 3.17770i | 0.803885 | − | 0.189229i | ||||
\(283\) | −1.16210 | + | 13.2829i | −0.0690796 | + | 0.789584i | 0.880088 | + | 0.474811i | \(0.157484\pi\) |
−0.949167 | + | 0.314772i | \(0.898072\pi\) | |||||||
\(284\) | −20.4855 | − | 11.9040i | −1.21559 | − | 0.706375i | ||||
\(285\) | 0.267738 | + | 4.60668i | 0.0158594 | + | 0.272876i | ||||
\(286\) | −11.7140 | − | 20.3550i | −0.692661 | − | 1.20362i | ||||
\(287\) | 0.697646 | + | 1.20836i | 0.0411808 | + | 0.0713272i | ||||
\(288\) | −11.7352 | + | 12.2591i | −0.691502 | + | 0.722374i | ||||
\(289\) | −7.45415 | + | 12.9110i | −0.438479 | + | 0.759468i | ||||
\(290\) | −0.286092 | 0.000401153i | −0.0167999 | 2.35565e-5i | ||||||
\(291\) | −1.04962 | + | 3.50440i | −0.0615297 | + | 0.205431i | ||||
\(292\) | −0.0241475 | + | 8.61066i | −0.00141312 | + | 0.503901i | ||||
\(293\) | −13.8126 | − | 9.67168i | −0.806940 | − | 0.565026i | 0.0957058 | − | 0.995410i | \(-0.469489\pi\) |
−0.902646 | + | 0.430384i | \(0.858378\pi\) | |||||||
\(294\) | 0.965587 | + | 17.0259i | 0.0563142 | + | 0.992971i | ||||
\(295\) | 0.0541244 | − | 0.0645030i | 0.00315125 | − | 0.00375551i | ||||
\(296\) | 14.7137 | + | 4.00894i | 0.855218 | + | 0.233015i | ||||
\(297\) | 19.2164 | − | 19.2022i | 1.11505 | − | 1.11422i | ||||
\(298\) | −20.7117 | − | 14.5458i | −1.19980 | − | 0.842615i | ||||
\(299\) | −20.2277 | + | 1.76970i | −1.16980 | + | 0.102344i | ||||
\(300\) | −12.2134 | + | 11.4554i | −0.705141 | + | 0.661375i | ||||
\(301\) | 0.599340 | − | 0.855946i | 0.0345454 | − | 0.0493359i | ||||
\(302\) | −0.0846775 | − | 0.0150534i | −0.00487265 | − | 0.000866225i | ||||
\(303\) | 25.0990 | + | 0.733403i | 1.44190 | + | 0.0421329i | ||||
\(304\) | −6.90787 | + | 25.2140i | −0.396193 | + | 1.44612i | ||||
\(305\) | 2.78425 | − | 4.82247i | 0.159426 | − | 0.276134i | ||||
\(306\) | −6.83554 | − | 22.9701i | −0.390762 | − | 1.31311i | ||||
\(307\) | −2.18251 | + | 8.14523i | −0.124562 | + | 0.464873i | −0.999824 | − | 0.0187775i | \(-0.994023\pi\) |
0.875261 | + | 0.483650i | \(0.160689\pi\) | |||||||
\(308\) | 2.03090 | + | 0.183421i | 0.115721 | + | 0.0104514i | ||||
\(309\) | −5.62857 | − | 8.56013i | −0.320198 | − | 0.486969i | ||||
\(310\) | 0.276045 | − | 0.0237608i | 0.0156783 | − | 0.00134952i | ||||
\(311\) | 21.4698 | + | 25.5867i | 1.21744 | + | 1.45089i | 0.854797 | + | 0.518962i | \(0.173681\pi\) |
0.362644 | + | 0.931928i | \(0.381874\pi\) | |||||||
\(312\) | 10.3951 | − | 11.5795i | 0.588507 | − | 0.655562i | ||||
\(313\) | −6.37345 | − | 17.5109i | −0.360249 | − | 0.989775i | −0.978941 | − | 0.204142i | \(-0.934560\pi\) |
0.618693 | − | 0.785633i | \(-0.287663\pi\) | |||||||
\(314\) | −8.28250 | − | 0.736329i | −0.467409 | − | 0.0415534i | ||||
\(315\) | 0.125149 | + | 0.203010i | 0.00705137 | + | 0.0114383i | ||||
\(316\) | −4.46586 | + | 24.9183i | −0.251224 | + | 1.40176i | ||||
\(317\) | −9.25318 | + | 6.47915i | −0.519711 | + | 0.363905i | −0.803807 | − | 0.594890i | \(-0.797195\pi\) |
0.284096 | + | 0.958796i | \(0.408307\pi\) | |||||||
\(318\) | −25.0886 | − | 10.0114i | −1.40690 | − | 0.561411i | ||||
\(319\) | 2.43814 | + | 0.887411i | 0.136510 | + | 0.0496855i | ||||
\(320\) | 2.96697 | − | 1.35325i | 0.165858 | − | 0.0756489i | ||||
\(321\) | 0.803626 | + | 5.49103i | 0.0448540 | + | 0.306479i | ||||
\(322\) | 0.883668 | − | 1.52561i | 0.0492449 | − | 0.0850191i | ||||
\(323\) | −26.1056 | − | 26.1056i | −1.45256 | − | 1.45256i | ||||
\(324\) | 16.0587 | + | 8.13139i | 0.892148 | + | 0.451744i | ||||
\(325\) | 10.8570 | − | 10.8570i | 0.602236 | − | 0.602236i | ||||
\(326\) | −6.77159 | + | 1.80427i | −0.375044 | + | 0.0999293i | ||||
\(327\) | −28.7124 | + | 4.20213i | −1.58780 | + | 0.232378i | ||||
\(328\) | −12.9423 | − | 15.5565i | −0.714619 | − | 0.858962i | ||||
\(329\) | 0.377646 | − | 1.03757i | 0.0208203 | − | 0.0572033i | ||||
\(330\) | −4.79636 | + | 2.06027i | −0.264031 | + | 0.113414i | ||||
\(331\) | 4.92230 | + | 7.02977i | 0.270554 | + | 0.386391i | 0.931321 | − | 0.364200i | \(-0.118658\pi\) |
−0.660767 | + | 0.750591i | \(0.729769\pi\) | |||||||
\(332\) | −12.3334 | + | 8.58448i | −0.676882 | + | 0.471135i | ||||
\(333\) | −0.466462 | − | 16.1684i | −0.0255620 | − | 0.886025i | ||||
\(334\) | 9.20325 | + | 10.9993i | 0.503579 | + | 0.601854i | ||||
\(335\) | −0.265539 | + | 0.0966482i | −0.0145079 | + | 0.00528046i | ||||
\(336\) | 0.304053 | + | 1.31648i | 0.0165875 | + | 0.0718201i | ||||
\(337\) | −9.90181 | + | 8.30861i | −0.539386 | + | 0.452599i | −0.871328 | − | 0.490701i | \(-0.836741\pi\) |
0.331942 | + | 0.943300i | \(0.392296\pi\) | |||||||
\(338\) | 2.65033 | − | 3.14956i | 0.144159 | − | 0.171313i | ||||
\(339\) | −15.6498 | + | 10.2903i | −0.849982 | + | 0.558892i | ||||
\(340\) | −0.414229 | + | 4.58648i | −0.0224647 | + | 0.248737i | ||||
\(341\) | −2.42713 | − | 0.650348i | −0.131436 | − | 0.0352183i | ||||
\(342\) | 27.7185 | − | 0.760787i | 1.49885 | − | 0.0411387i | ||||
\(343\) | 2.35807 | + | 1.36143i | 0.127324 | + | 0.0735105i | ||||
\(344\) | −6.46237 | + | 13.7078i | −0.348428 | + | 0.739073i | ||||
\(345\) | −0.131824 | + | 4.51137i | −0.00709718 | + | 0.242884i | ||||
\(346\) | 0.0972756 | − | 0.0679100i | 0.00522957 | − | 0.00365086i | ||||
\(347\) | −23.5909 | − | 16.5185i | −1.26643 | − | 0.886760i | −0.269339 | − | 0.963045i | \(-0.586805\pi\) |
−0.997086 | + | 0.0762849i | \(0.975694\pi\) | |||||||
\(348\) | −0.0550325 | + | 1.71829i | −0.00295005 | + | 0.0921102i | ||||
\(349\) | 1.25599 | + | 14.3561i | 0.0672319 | + | 0.768464i | 0.952730 | + | 0.303820i | \(0.0982621\pi\) |
−0.885498 | + | 0.464644i | \(0.846182\pi\) | |||||||
\(350\) | 0.229662 | + | 1.31324i | 0.0122760 | + | 0.0701958i | ||||
\(351\) | −14.9559 | − | 6.98081i | −0.798289 | − | 0.372608i | ||||
\(352\) | −29.4794 | + | 2.37098i | −1.57126 | + | 0.126374i | ||||
\(353\) | −24.4363 | − | 20.5045i | −1.30061 | − | 1.09134i | −0.990039 | − | 0.140792i | \(-0.955035\pi\) |
−0.310572 | − | 0.950550i | \(-0.600520\pi\) | |||||||
\(354\) | −0.377472 | − | 0.336955i | −0.0200624 | − | 0.0179089i | ||||
\(355\) | 2.76978 | − | 3.95565i | 0.147004 | − | 0.209944i | ||||
\(356\) | −0.0397332 | + | 14.1683i | −0.00210586 | + | 0.750919i | ||||
\(357\) | −1.82783 | − | 0.547463i | −0.0967392 | − | 0.0289748i | ||||
\(358\) | −4.84198 | − | 4.85558i | −0.255907 | − | 0.256625i | ||||
\(359\) | 16.2182 | + | 9.36358i | 0.855964 | + | 0.494191i | 0.862659 | − | 0.505787i | \(-0.168798\pi\) |
−0.00669474 | + | 0.999978i | \(0.502131\pi\) | |||||||
\(360\) | −2.28788 | − | 2.59404i | −0.120582 | − | 0.136718i | ||||
\(361\) | 20.5390 | − | 11.8582i | 1.08100 | − | 0.624117i | ||||
\(362\) | 25.5409 | + | 6.88206i | 1.34240 | + | 0.361713i | ||||
\(363\) | 28.2420 | − | 1.64141i | 1.48232 | − | 0.0861518i | ||||
\(364\) | −0.317297 | − | 1.19759i | −0.0166309 | − | 0.0627709i | ||||
\(365\) | −1.74829 | − | 0.152956i | −0.0915098 | − | 0.00800607i | ||||
\(366\) | −28.4533 | − | 17.6102i | −1.48728 | − | 0.920500i | ||||
\(367\) | −28.5316 | + | 10.3847i | −1.48934 | + | 0.542074i | −0.953275 | − | 0.302104i | \(-0.902311\pi\) |
−0.536062 | + | 0.844178i | \(0.680089\pi\) | |||||||
\(368\) | −8.88010 | + | 23.9785i | −0.462907 | + | 1.24997i | ||||
\(369\) | −11.7990 | + | 17.9298i | −0.614230 | + | 0.933391i | ||||
\(370\) | −1.06715 | + | 2.91923i | −0.0554785 | + | 0.151763i | ||||
\(371\) | −1.76169 | + | 1.23355i | −0.0914625 | + | 0.0640427i | ||||
\(372\) | −0.0919406 | − | 1.66239i | −0.00476690 | − | 0.0861909i | ||||
\(373\) | 26.5815 | − | 12.3951i | 1.37634 | − | 0.641796i | 0.413158 | − | 0.910659i | \(-0.364426\pi\) |
0.963178 | + | 0.268863i | \(0.0866478\pi\) | |||||||
\(374\) | 17.7036 | − | 37.8270i | 0.915433 | − | 1.95599i | ||||
\(375\) | −4.30561 | − | 5.44671i | −0.222341 | − | 0.281267i | ||||
\(376\) | −2.84711 | + | 15.7588i | −0.146828 | + | 0.812699i | ||||
\(377\) | − | 1.57638i | − | 0.0811876i | ||||||
\(378\) | 1.24237 | − | 0.714349i | 0.0639006 | − | 0.0367422i | ||||
\(379\) | 3.34000 | − | 3.34000i | 0.171564 | − | 0.171564i | −0.616102 | − | 0.787666i | \(-0.711289\pi\) |
0.787666 | + | 0.616102i | \(0.211289\pi\) | |||||||
\(380\) | −5.00184 | − | 1.83642i | −0.256589 | − | 0.0942065i | ||||
\(381\) | −7.09061 | − | 16.4435i | −0.363263 | − | 0.842424i | ||||
\(382\) | −24.3451 | + | 8.82225i | −1.24560 | + | 0.451385i | ||||
\(383\) | 13.3359 | + | 4.85388i | 0.681433 | + | 0.248021i | 0.659463 | − | 0.751737i | \(-0.270784\pi\) |
0.0219705 | + | 0.999759i | \(0.493006\pi\) | |||||||
\(384\) | −7.58234 | − | 18.0695i | −0.386935 | − | 0.922107i | ||||
\(385\) | −0.0721698 | + | 0.409295i | −0.00367811 | + | 0.0208596i | ||||
\(386\) | −31.3884 | − | 11.4743i | −1.59763 | − | 0.584026i | ||||
\(387\) | 15.9037 | + | 2.33356i | 0.808430 | + | 0.118621i | ||||
\(388\) | −3.22825 | − | 2.72429i | −0.163889 | − | 0.138305i | ||||
\(389\) | −9.71534 | + | 20.8346i | −0.492587 | + | 1.05636i | 0.490199 | + | 0.871611i | \(0.336924\pi\) |
−0.982786 | + | 0.184747i | \(0.940854\pi\) | |||||||
\(390\) | 2.17291 | + | 2.31020i | 0.110030 | + | 0.116982i | ||||
\(391\) | −23.2108 | − | 27.6616i | −1.17382 | − | 1.39891i | ||||
\(392\) | −18.4754 | − | 6.81264i | −0.933148 | − | 0.344090i | ||||
\(393\) | 2.29635 | + | 6.93286i | 0.115836 | + | 0.349716i | ||||
\(394\) | 1.53744 | + | 0.414266i | 0.0774550 | + | 0.0208704i | ||||
\(395\) | −4.98378 | − | 1.33540i | −0.250761 | − | 0.0671913i | ||||
\(396\) | 11.4925 | + | 29.1875i | 0.577519 | + | 1.46673i | ||||
\(397\) | 13.7204 | − | 3.67636i | 0.688605 | − | 0.184511i | 0.102484 | − | 0.994735i | \(-0.467321\pi\) |
0.586121 | + | 0.810223i | \(0.300654\pi\) | |||||||
\(398\) | 0.0142337 | − | 10.1511i | 0.000713472 | − | 0.508829i | ||||
\(399\) | 1.15922 | − | 1.87886i | 0.0580334 | − | 0.0940605i | ||||
\(400\) | −6.51107 | − | 18.2061i | −0.325554 | − | 0.910305i | ||||
\(401\) | 1.77760 | + | 10.0813i | 0.0887693 | + | 0.503436i | 0.996479 | + | 0.0838379i | \(0.0267178\pi\) |
−0.907710 | + | 0.419598i | \(0.862171\pi\) | |||||||
\(402\) | 0.531660 | + | 1.61270i | 0.0265168 | + | 0.0804339i | ||||
\(403\) | 0.133055 | + | 1.52083i | 0.00662797 | + | 0.0757580i | ||||
\(404\) | −12.3271 | + | 26.2432i | −0.613296 | + | 1.30565i | ||||
\(405\) | −1.92749 | + | 3.12148i | −0.0957776 | + | 0.155108i | ||||
\(406\) | 0.112011 | + | 0.0786653i | 0.00555902 | + | 0.00390409i | ||||
\(407\) | 18.1192 | − | 21.5936i | 0.898135 | − | 1.07036i | ||||
\(408\) | 27.4718 | + | 3.33163i | 1.36006 | + | 0.164940i | ||||
\(409\) | −2.96149 | + | 0.522191i | −0.146436 | + | 0.0258207i | −0.246386 | − | 0.969172i | \(-0.579243\pi\) |
0.0999494 | + | 0.994993i | \(0.468132\pi\) | |||||||
\(410\) | 3.38184 | − | 2.36093i | 0.167017 | − | 0.116598i | ||||
\(411\) | −4.09957 | − | 17.3070i | −0.202217 | − | 0.853689i | ||||
\(412\) | 11.6557 | − | 2.02153i | 0.574235 | − | 0.0995936i | ||||
\(413\) | −0.0389124 | + | 0.0104265i | −0.00191475 | + | 0.000513056i | ||||
\(414\) | 27.0726 | + | 1.62159i | 1.33055 | + | 0.0796970i | ||||
\(415\) | −1.53133 | − | 2.65234i | −0.0751701 | − | 0.130198i | ||||
\(416\) | 7.47936 | + | 16.3376i | 0.366706 | + | 0.801018i | ||||
\(417\) | 17.4453 | − | 5.77836i | 0.854301 | − | 0.282968i | ||||
\(418\) | 36.9742 | + | 31.1135i | 1.80847 | + | 1.52181i | ||||
\(419\) | −9.29082 | − | 0.812842i | −0.453886 | − | 0.0397099i | −0.142079 | − | 0.989855i | \(-0.545379\pi\) |
−0.311807 | + | 0.950145i | \(0.600934\pi\) | |||||||
\(420\) | −0.272588 | + | 0.0391134i | −0.0133009 | + | 0.00190854i | ||||
\(421\) | 0.791849 | − | 1.69813i | 0.0385924 | − | 0.0827616i | −0.886066 | − | 0.463558i | \(-0.846572\pi\) |
0.924659 | + | 0.380797i | \(0.124350\pi\) | |||||||
\(422\) | 12.4544 | + | 1.10722i | 0.606271 | + | 0.0538986i | ||||
\(423\) | 16.8710 | − | 1.96772i | 0.820296 | − | 0.0956738i | ||||
\(424\) | 22.1480 | − | 21.9625i | 1.07560 | − | 1.06659i | ||||
\(425\) | 26.8903 | + | 4.74149i | 1.30437 | + | 0.229996i | ||||
\(426\) | −23.2495 | − | 17.3638i | −1.12644 | − | 0.841280i | ||||
\(427\) | −2.41453 | + | 1.12591i | −0.116847 | + | 0.0544867i | ||||
\(428\) | −6.18501 | − | 1.67587i | −0.298964 | − | 0.0810064i | ||||
\(429\) | −11.3892 | − | 26.4121i | −0.549877 | − | 1.27519i | ||||
\(430\) | −2.67275 | − | 1.54811i | −0.128891 | − | 0.0746566i | ||||
\(431\) | −21.6750 | −1.04405 | −0.522024 | − | 0.852931i | \(-0.674823\pi\) | ||||
−0.522024 | + | 0.852931i | \(0.674823\pi\) | |||||||
\(432\) | −16.0015 | + | 13.2647i | −0.769874 | + | 0.638196i | ||||
\(433\) | −6.67791 | −0.320920 | −0.160460 | − | 0.987042i | \(-0.551298\pi\) | ||||
−0.160460 | + | 0.987042i | \(0.551298\pi\) | |||||||
\(434\) | −0.114704 | − | 0.0664390i | −0.00550597 | − | 0.00318917i | ||||
\(435\) | −0.348016 | − | 0.0407207i | −0.0166861 | − | 0.00195241i | ||||
\(436\) | 8.76308 | − | 32.3412i | 0.419675 | − | 1.54886i | ||||
\(437\) | 37.8656 | − | 17.6570i | 1.81136 | − | 0.844649i | ||||
\(438\) | −1.24028 | + | 10.4727i | −0.0592630 | + | 0.500406i | ||||
\(439\) | −5.84980 | − | 1.03148i | −0.279196 | − | 0.0492297i | 0.0322969 | − | 0.999478i | \(-0.489718\pi\) |
−0.311493 | + | 0.950249i | \(0.600829\pi\) | |||||||
\(440\) | 0.0253557 | − | 6.02763i | 0.00120878 | − | 0.287356i | ||||
\(441\) | −1.21955 | + | 20.8503i | −0.0580738 | + | 0.992870i | ||||
\(442\) | −25.2748 | − | 2.24698i | −1.20220 | − | 0.106878i | ||||
\(443\) | 2.46581 | − | 5.28794i | 0.117154 | − | 0.251237i | −0.838983 | − | 0.544158i | \(-0.816849\pi\) |
0.956137 | + | 0.292920i | \(0.0946271\pi\) | |||||||
\(444\) | 17.3376 | + | 6.94662i | 0.822806 | + | 0.329672i | ||||
\(445\) | −2.87671 | − | 0.251679i | −0.136369 | − | 0.0119307i | ||||
\(446\) | 16.9258 | + | 14.2430i | 0.801462 | + | 0.674423i | ||||
\(447\) | −23.1532 | − | 20.6097i | −1.09511 | − | 0.974806i | ||||
\(448\) | −1.53413 | − | 0.283836i | −0.0724806 | − | 0.0134100i | ||||
\(449\) | −0.115986 | − | 0.200894i | −0.00547372 | − | 0.00948076i | 0.863276 | − | 0.504733i | \(-0.168409\pi\) |
−0.868749 | + | 0.495252i | \(0.835076\pi\) | |||||||
\(450\) | −16.4703 | + | 12.2195i | −0.776418 | + | 0.576035i | ||||
\(451\) | −36.1304 | + | 9.68112i | −1.70132 | + | 0.455866i | ||||
\(452\) | −3.69581 | − | 21.3092i | −0.173836 | − | 1.00230i | ||||
\(453\) | −0.100906 | − | 0.0302227i | −0.00474096 | − | 0.00141999i | ||||
\(454\) | −33.1284 | + | 23.1276i | −1.55479 | + | 1.08543i | ||||
\(455\) | 0.248670 | − | 0.0438473i | 0.0116578 | − | 0.00205559i | ||||
\(456\) | −11.9502 | + | 29.7050i | −0.559620 | + | 1.39106i | ||||
\(457\) | 11.3680 | − | 13.5479i | 0.531775 | − | 0.633744i | −0.431548 | − | 0.902090i | \(-0.642032\pi\) |
0.963323 | + | 0.268346i | \(0.0864769\pi\) | |||||||
\(458\) | −24.0763 | − | 16.9088i | −1.12501 | − | 0.790096i | ||||
\(459\) | −5.08618 | − | 28.9077i | −0.237403 | − | 1.34930i | ||||
\(460\) | −4.71703 | − | 2.21571i | −0.219933 | − | 0.103308i | ||||
\(461\) | −1.34367 | − | 15.3582i | −0.0625811 | − | 0.715305i | −0.961069 | − | 0.276307i | \(-0.910889\pi\) |
0.898488 | − | 0.438998i | \(-0.144666\pi\) | |||||||
\(462\) | 2.44509 | + | 0.508761i | 0.113756 | + | 0.0236697i | ||||
\(463\) | 1.51242 | + | 8.57737i | 0.0702882 | + | 0.398624i | 0.999572 | + | 0.0292575i | \(0.00931427\pi\) |
−0.929284 | + | 0.369367i | \(0.879575\pi\) | |||||||
\(464\) | −1.79441 | − | 0.849030i | −0.0833032 | − | 0.0394152i | ||||
\(465\) | 0.339190 | + | 0.00991128i | 0.0157295 | + | 0.000459625i | ||||
\(466\) | −0.00556181 | + | 3.96654i | −0.000257646 | + | 0.183746i | ||||
\(467\) | −31.0124 | + | 8.30975i | −1.43508 | + | 0.384530i | −0.890809 | − | 0.454378i | \(-0.849862\pi\) |
−0.544275 | + | 0.838907i | \(0.683195\pi\) | |||||||
\(468\) | 14.2756 | − | 12.6263i | 0.659888 | − | 0.583652i | ||||
\(469\) | 0.130588 | + | 0.0349910i | 0.00603000 | + | 0.00161573i | ||||
\(470\) | −3.15145 | − | 0.849167i | −0.145366 | − | 0.0391691i | ||||
\(471\) | −9.97331 | − | 2.06061i | −0.459546 | − | 0.0949477i | ||||
\(472\) | 0.530557 | − | 0.244691i | 0.0244209 | − | 0.0112628i | ||||
\(473\) | 18.0059 | + | 21.4585i | 0.827910 | + | 0.986665i | ||||
\(474\) | −8.93758 | + | 29.6887i | −0.410517 | + | 1.36365i | ||||
\(475\) | −13.3517 | + | 28.6329i | −0.612620 | + | 1.31377i | ||||
\(476\) | 1.42094 | − | 1.68380i | 0.0651287 | − | 0.0771768i | ||||
\(477\) | −29.1160 | − | 15.7085i | −1.33313 | − | 0.719241i | ||||
\(478\) | −22.8365 | − | 8.34808i | −1.04452 | − | 0.381832i | ||||
\(479\) | 4.10355 | − | 23.2724i | 0.187496 | − | 1.06334i | −0.735210 | − | 0.677839i | \(-0.762916\pi\) |
0.922706 | − | 0.385504i | \(-0.125972\pi\) | |||||||
\(480\) | 3.80005 | − | 1.22918i | 0.173448 | − | 0.0561042i | ||||
\(481\) | −16.0933 | − | 5.85747i | −0.733790 | − | 0.267078i | ||||
\(482\) | −7.77055 | + | 2.81591i | −0.353939 | + | 0.128261i | ||||
\(483\) | 1.28965 | − | 1.73186i | 0.0586813 | − | 0.0788023i | ||||
\(484\) | −11.2585 | + | 30.6646i | −0.511749 | + | 1.39384i | ||||
\(485\) | 0.608772 | − | 0.608772i | 0.0276429 | − | 0.0276429i | ||||
\(486\) | 18.3942 | + | 12.1513i | 0.834377 | + | 0.551195i | ||||
\(487\) | 20.6439i | 0.935466i | 0.883870 | + | 0.467733i | \(0.154929\pi\) | ||||
−0.883870 | + | 0.467733i | \(0.845071\pi\) | |||||||
\(488\) | 31.7439 | − | 22.0289i | 1.43698 | − | 0.997200i | ||||
\(489\) | −8.49235 | + | 1.24288i | −0.384037 | + | 0.0562048i | ||||
\(490\) | 1.70122 | − | 3.63496i | 0.0768533 | − | 0.164211i | ||||
\(491\) | 11.1155 | − | 5.18326i | 0.501637 | − | 0.233917i | −0.155293 | − | 0.987868i | \(-0.549632\pi\) |
0.656931 | + | 0.753951i | \(0.271854\pi\) | |||||||
\(492\) | −13.5585 | − | 20.7467i | −0.611264 | − | 0.935336i | ||||
\(493\) | 2.29639 | − | 1.60795i | 0.103424 | − | 0.0724184i | ||||
\(494\) | 10.0801 | − | 27.5745i | 0.453525 | − | 1.24063i | ||||
\(495\) | −6.12519 | + | 1.83212i | −0.275307 | + | 0.0823475i | ||||
\(496\) | 1.80284 | + | 0.667655i | 0.0809499 | + | 0.0299786i | ||||
\(497\) | −2.17099 | + | 0.790174i | −0.0973820 | + | 0.0354442i | ||||
\(498\) | −16.2126 | + | 8.70984i | −0.726502 | + | 0.390297i | ||||
\(499\) | 27.2615 | + | 2.38507i | 1.22039 | + | 0.106770i | 0.679088 | − | 0.734057i | \(-0.262376\pi\) |
0.541303 | + | 0.840828i | \(0.317931\pi\) | |||||||
\(500\) | 7.74967 | − | 2.05324i | 0.346576 | − | 0.0918238i | ||||
\(501\) | 9.65027 | + | 14.6765i | 0.431142 | + | 0.655696i | ||||
\(502\) | −4.76774 | − | 1.28468i | −0.212794 | − | 0.0573380i | ||||
\(503\) | −7.83788 | + | 4.52520i | −0.349474 | + | 0.201769i | −0.664453 | − | 0.747330i | \(-0.731336\pi\) |
0.314980 | + | 0.949098i | \(0.398002\pi\) | |||||||
\(504\) | 0.184789 | + | 1.64445i | 0.00823118 | + | 0.0732497i | ||||
\(505\) | −5.11768 | − | 2.95469i | −0.227734 | − | 0.131482i | ||||
\(506\) | 33.3738 | + | 33.4675i | 1.48365 | + | 1.48781i | ||||
\(507\) | 3.66743 | − | 3.45918i | 0.162876 | − | 0.153628i | ||||
\(508\) | 20.6773 | + | 0.0579867i | 0.917405 | + | 0.00257275i | ||||
\(509\) | −19.0540 | + | 27.2120i | −0.844555 | + | 1.20615i | 0.132078 | + | 0.991239i | \(0.457835\pi\) |
−0.976634 | + | 0.214911i | \(0.931054\pi\) | |||||||
\(510\) | −1.14896 | + | 5.52186i | −0.0508767 | + | 0.244512i | ||||
\(511\) | 0.643193 | + | 0.539703i | 0.0284532 | + | 0.0238751i | ||||
\(512\) | 22.6256 | + | 0.285542i | 0.999920 | + | 0.0126193i | ||||
\(513\) | 33.8306 | + | 2.97241i | 1.49366 | + | 0.131235i | ||||
\(514\) | −0.538533 | − | 3.07942i | −0.0237537 | − | 0.135827i | ||||
\(515\) | 0.210137 | + | 2.40187i | 0.00925973 | + | 0.105839i | ||||
\(516\) | −9.79011 | + | 15.7687i | −0.430986 | + | 0.694177i | ||||
\(517\) | 24.2472 | + | 16.9781i | 1.06639 | + | 0.746695i | ||||
\(518\) | 1.21930 | − | 0.851221i | 0.0535732 | − | 0.0374005i | ||||
\(519\) | 0.127900 | − | 0.0689426i | 0.00561418 | − | 0.00302625i | ||||
\(520\) | −3.44655 | + | 1.23805i | −0.151141 | + | 0.0542920i | ||||
\(521\) | 10.1362 | + | 5.85211i | 0.444073 | + | 0.256386i | 0.705324 | − | 0.708885i | \(-0.250802\pi\) |
−0.261251 | + | 0.965271i | \(0.584135\pi\) | |||||||
\(522\) | −0.308596 | + | 2.08281i | −0.0135069 | + | 0.0911622i | ||||
\(523\) | 31.8194 | + | 8.52599i | 1.39137 | + | 0.372816i | 0.875237 | − | 0.483695i | \(-0.160706\pi\) |
0.516130 | + | 0.856510i | \(0.327372\pi\) | |||||||
\(524\) | −8.39890 | − | 0.758548i | −0.366908 | − | 0.0331373i | ||||
\(525\) | 0.0947378 | + | 1.63005i | 0.00413469 | + | 0.0711411i | ||||
\(526\) | 9.98091 | − | 11.8610i | 0.435188 | − | 0.517163i | ||||
\(527\) | −2.07975 | + | 1.74512i | −0.0905954 | + | 0.0760185i | ||||
\(528\) | −36.1994 | − | 1.26100i | −1.57538 | − | 0.0548781i | ||||
\(529\) | 16.7868 | − | 6.10991i | 0.729862 | − | 0.265648i | ||||
\(530\) | 4.07947 | + | 4.87559i | 0.177201 | + | 0.211782i | ||||
\(531\) | −0.411863 | − | 0.463037i | −0.0178734 | − | 0.0200941i | ||||
\(532\) | 1.45631 | + | 2.09229i | 0.0631390 | + | 0.0907123i | ||||
\(533\) | 13.0349 | + | 18.6158i | 0.564605 | + | 0.806339i | ||||
\(534\) | −2.04081 | + | 17.2322i | −0.0883144 | + | 0.745711i | ||||
\(535\) | 0.446692 | − | 1.22728i | 0.0193122 | − | 0.0530598i | ||||
\(536\) | −1.95257 | − | 0.179107i | −0.0843381 | − | 0.00773624i | ||||
\(537\) | −5.20813 | − | 6.58843i | −0.224748 | − | 0.284312i | ||||
\(538\) | −2.11667 | + | 0.563980i | −0.0912560 | + | 0.0243149i | ||||
\(539\) | −25.7372 | + | 25.7372i | −1.10858 | + | 1.10858i | ||||
\(540\) | −2.41874 | − | 3.47777i | −0.104086 | − | 0.149659i | ||||
\(541\) | 24.4675 | + | 24.4675i | 1.05194 | + | 1.05194i | 0.998575 | + | 0.0533651i | \(0.0169947\pi\) |
0.0533651 | + | 0.998575i | \(0.483005\pi\) | |||||||
\(542\) | −15.1602 | + | 26.1735i | −0.651188 | + | 1.12425i | ||||
\(543\) | 30.1064 | + | 11.9648i | 1.29199 | + | 0.513459i | ||||
\(544\) | −16.1707 | + | 27.5604i | −0.693312 | + | 1.18164i | ||||
\(545\) | 6.41739 | + | 2.33574i | 0.274891 | + | 0.100052i | ||||
\(546\) | −0.217622 | − | 1.50167i | −0.00931337 | − | 0.0642653i | ||||
\(547\) | 22.1224 | − | 15.4902i | 0.945884 | − | 0.662315i | 0.00462080 | − | 0.999989i | \(-0.498529\pi\) |
0.941263 | + | 0.337674i | \(0.109640\pi\) | |||||||
\(548\) | 20.2153 | + | 3.62298i | 0.863553 | + | 0.154766i | ||||
\(549\) | −32.1410 | − | 25.4267i | −1.37174 | − | 1.08519i | ||||
\(550\) | −35.5993 | − | 3.16484i | −1.51796 | − | 0.134949i | ||||
\(551\) | 1.10937 | + | 3.04798i | 0.0472610 | + | 0.129848i | ||||
\(552\) | −14.1760 | + | 27.9246i | −0.603370 | + | 1.18855i | ||||
\(553\) | 1.58672 | + | 1.89098i | 0.0674743 | + | 0.0804127i | ||||
\(554\) | −10.0477 | + | 0.864868i | −0.426887 | + | 0.0367447i | ||||
\(555\) | −1.70887 | + | 3.40159i | −0.0725374 | + | 0.144389i | ||||
\(556\) | −1.90876 | + | 21.1344i | −0.0809493 | + | 0.896297i | ||||
\(557\) | −3.28205 | + | 12.2488i | −0.139065 | + | 0.518998i | 0.860883 | + | 0.508803i | \(0.169912\pi\) |
−0.999948 | + | 0.0101947i | \(0.996755\pi\) | |||||||
\(558\) | 0.121920 | − | 2.03547i | 0.00516130 | − | 0.0861682i | ||||
\(559\) | 8.50949 | − | 14.7389i | 0.359913 | − | 0.623388i | ||||
\(560\) | 0.0840210 | − | 0.306680i | 0.00355053 | − | 0.0129596i | ||||
\(561\) | 26.8586 | − | 43.5324i | 1.13397 | − | 1.83794i | ||||
\(562\) | 34.4471 | + | 6.12376i | 1.45306 | + | 0.258315i | ||||
\(563\) | −7.50186 | + | 10.7138i | −0.316166 | + | 0.451531i | −0.945509 | − | 0.325596i | \(-0.894435\pi\) |
0.629343 | + | 0.777127i | \(0.283324\pi\) | |||||||
\(564\) | −5.68006 | + | 18.7725i | −0.239174 | + | 0.790465i | ||||
\(565\) | 4.39116 | − | 0.384177i | 0.184738 | − | 0.0161624i | ||||
\(566\) | −15.4312 | − | 10.8373i | −0.648622 | − | 0.455527i | ||||
\(567\) | 1.61198 | − | 0.694397i | 0.0676967 | − | 0.0291619i | ||||
\(568\) | 29.0882 | − | 16.6313i | 1.22051 | − | 0.697835i | ||||
\(569\) | −9.41788 | + | 11.2238i | −0.394818 | + | 0.470526i | −0.926433 | − | 0.376461i | \(-0.877141\pi\) |
0.531615 | + | 0.846986i | \(0.321586\pi\) | |||||||
\(570\) | −5.82721 | − | 2.93767i | −0.244075 | − | 0.123046i | ||||
\(571\) | 31.3866 | + | 21.9771i | 1.31349 | + | 0.919714i | 0.999558 | − | 0.0297323i | \(-0.00946548\pi\) |
0.313930 | + | 0.949446i | \(0.398354\pi\) | |||||||
\(572\) | 33.2126 | + | 0.0931406i | 1.38869 | + | 0.00389440i | ||||
\(573\) | −30.8600 | + | 7.30993i | −1.28919 | + | 0.305377i | ||||
\(574\) | −1.97324 | − | 0.00276684i | −0.0823614 | − | 0.000115486i | ||||
\(575\) | −15.4502 | + | 26.7605i | −0.644317 | + | 1.11599i | ||||
\(576\) | −6.68392 | − | 23.0505i | −0.278497 | − | 0.960437i | ||||
\(577\) | −4.10333 | − | 7.10718i | −0.170824 | − | 0.295876i | 0.767884 | − | 0.640589i | \(-0.221310\pi\) |
−0.938708 | + | 0.344713i | \(0.887976\pi\) | |||||||
\(578\) | −10.5161 | − | 18.2736i | −0.437414 | − | 0.760082i | ||||
\(579\) | −36.5749 | − | 18.3742i | −1.52000 | − | 0.763607i | ||||
\(580\) | 0.203280 | − | 0.349821i | 0.00844072 | − | 0.0145255i | ||||
\(581\) | −0.127706 | + | 1.45969i | −0.00529816 | + | 0.0605582i | ||||
\(582\) | −3.54452 | − | 3.76847i | −0.146925 | − | 0.156208i | ||||
\(583\) | −19.7188 | − | 54.1771i | −0.816671 | − | 2.24379i | ||||
\(584\) | −10.5202 | − | 6.13299i | −0.435329 | − | 0.253785i | ||||
\(585\) | 2.31878 | + | 3.11627i | 0.0958699 | + | 0.128842i | ||||
\(586\) | 21.6264 | − | 10.0477i | 0.893379 | − | 0.415066i | ||||
\(587\) | 19.6953 | + | 28.1277i | 0.812910 | + | 1.16096i | 0.984430 | + | 0.175775i | \(0.0562432\pi\) |
−0.171520 | + | 0.985181i | \(0.554868\pi\) | |||||||
\(588\) | −21.5199 | − | 10.8867i | −0.887467 | − | 0.448961i | ||||
\(589\) | −1.32755 | − | 2.84694i | −0.0547008 | − | 0.117306i | ||||
\(590\) | 0.0405710 | + | 0.111956i | 0.00167028 | + | 0.00460916i | ||||
\(591\) | 1.81226 | + | 0.720222i | 0.0745463 | + | 0.0296260i | ||||
\(592\) | −15.3354 | + | 15.1643i | −0.630280 | + | 0.623250i | ||||
\(593\) | −29.7816 | −1.22298 | −0.611491 | − | 0.791251i | \(-0.709430\pi\) | ||||
−0.611491 | + | 0.791251i | \(0.709430\pi\) | |||||||
\(594\) | 9.87767 | + | 37.1270i | 0.405286 | + | 1.52334i | ||||
\(595\) | 0.317525 | + | 0.317525i | 0.0130173 | + | 0.0130173i | ||||
\(596\) | 32.4814 | − | 15.0356i | 1.33049 | − | 0.615880i | ||||
\(597\) | 1.44485 | − | 12.3483i | 0.0591339 | − | 0.505382i | ||||
\(598\) | 12.1722 | − | 26.0081i | 0.497759 | − | 1.06355i | ||||
\(599\) | 10.4979 | − | 28.8427i | 0.428932 | − | 1.17848i | −0.517529 | − | 0.855666i | \(-0.673148\pi\) |
0.946462 | − | 0.322816i | \(-0.104630\pi\) | |||||||
\(600\) | −5.36137 | − | 23.0660i | −0.218877 | − | 0.941665i | ||||
\(601\) | 24.2976 | + | 4.28432i | 0.991120 | + | 0.174761i | 0.645621 | − | 0.763658i | \(-0.276599\pi\) |
0.345499 | + | 0.938419i | \(0.387710\pi\) | |||||||
\(602\) | 0.622640 | + | 1.34016i | 0.0253769 | + | 0.0546208i | ||||
\(603\) | 0.420051 | + | 2.03684i | 0.0171058 | + | 0.0829467i | ||||
\(604\) | 0.0784430 | − | 0.0929541i | 0.00319180 | − | 0.00378225i | ||||
\(605\) | −6.03398 | − | 2.81369i | −0.245316 | − | 0.114393i | ||||
\(606\) | −18.6882 | + | 30.1951i | −0.759158 | + | 1.22659i | ||||
\(607\) | 31.2066 | − | 26.1854i | 1.26664 | − | 1.06283i | 0.271695 | − | 0.962383i | \(-0.412416\pi\) |
0.994942 | − | 0.100451i | \(-0.0320286\pi\) | |||||||
\(608\) | −25.9592 | − | 26.3258i | −1.05278 | − | 1.06765i | ||||
\(609\) | 0.125215 | + | 0.111460i | 0.00507397 | + | 0.00451657i | ||||
\(610\) | 3.92796 | + | 6.82551i | 0.159038 | + | 0.276357i | ||||
\(611\) | 4.65458 | − | 17.3711i | 0.188304 | − | 0.702761i | ||||
\(612\) | 32.9549 | + | 7.91672i | 1.33212 | + | 0.320014i | ||||
\(613\) | −5.88716 | − | 21.9712i | −0.237780 | − | 0.887408i | −0.976876 | − | 0.213807i | \(-0.931414\pi\) |
0.739096 | − | 0.673600i | \(-0.235253\pi\) | |||||||
\(614\) | −8.42073 | − | 8.44437i | −0.339833 | − | 0.340787i | ||||
\(615\) | 4.44651 | − | 2.39683i | 0.179300 | − | 0.0966494i | ||||
\(616\) | −1.66401 | + | 2.35531i | −0.0670451 | + | 0.0948981i | ||||
\(617\) | 11.7771 | − | 2.07662i | 0.474128 | − | 0.0836015i | 0.0685218 | − | 0.997650i | \(-0.478172\pi\) |
0.405606 | + | 0.914048i | \(0.367061\pi\) | |||||||
\(618\) | 14.4651 | − | 0.820359i | 0.581873 | − | 0.0329997i | ||||
\(619\) | 2.35671 | − | 0.206185i | 0.0947241 | − | 0.00828729i | −0.0396951 | − | 0.999212i | \(-0.512639\pi\) |
0.134419 | + | 0.990925i | \(0.457083\pi\) | |||||||
\(620\) | −0.166590 | + | 0.354653i | −0.00669040 | + | 0.0142432i | ||||
\(621\) | 32.7097 | + | 5.78008i | 1.31259 | + | 0.231947i | ||||
\(622\) | −46.5301 | + | 8.13726i | −1.86569 | + | 0.326274i | ||||
\(623\) | 1.05834 | + | 0.888049i | 0.0424013 | + | 0.0355789i | ||||
\(624\) | 6.80219 | + | 20.9289i | 0.272306 | + | 0.837826i | ||||
\(625\) | −3.91320 | − | 22.1929i | −0.156528 | − | 0.887715i | ||||
\(626\) | 25.9467 | + | 4.61262i | 1.03704 | + | 0.184357i | ||||
\(627\) | 40.6090 | + | 43.0537i | 1.62177 | + | 1.71940i | ||||
\(628\) | 6.77191 | − | 9.61380i | 0.270229 | − | 0.383632i | ||||
\(629\) | −7.88271 | − | 29.4187i | −0.314304 | − | 1.17300i | ||||
\(630\) | −0.337143 | + | 0.00925352i | −0.0134321 | + | 0.000368669i | ||||
\(631\) | 27.3047 | − | 15.7644i | 1.08698 | − | 0.627570i | 0.154211 | − | 0.988038i | \(-0.450716\pi\) |
0.932772 | + | 0.360468i | \(0.117383\pi\) | |||||||
\(632\) | −27.3283 | − | 23.1278i | −1.08706 | − | 0.919974i | ||||
\(633\) | 14.9969 | + | 3.09854i | 0.596073 | + | 0.123156i | ||||
\(634\) | −1.37000 | − | 15.9162i | −0.0544096 | − | 0.632112i | ||||
\(635\) | −0.367301 | + | 4.19827i | −0.0145759 | + | 0.166603i | ||||
\(636\) | 30.0348 | − | 23.6059i | 1.19096 | − | 0.936034i | ||||
\(637\) | 20.0419 | + | 9.34569i | 0.794089 | + | 0.370290i | ||||
\(638\) | −2.81418 | + | 2.35466i | −0.111415 | + | 0.0932220i | ||||
\(639\) | −25.8446 | − | 24.3951i | −1.02240 | − | 0.965057i | ||||
\(640\) | −0.447015 | + | 4.59005i | −0.0176698 | + | 0.181437i | ||||
\(641\) | 8.47626 | − | 48.0712i | 0.334792 | − | 1.89870i | −0.0944833 | − | 0.995526i | \(-0.530120\pi\) |
0.429275 | − | 0.903174i | \(-0.358769\pi\) | |||||||
\(642\) | −7.28929 | − | 2.90873i | −0.287685 | − | 0.114798i | ||||
\(643\) | 16.4430 | + | 35.2622i | 0.648450 | + | 1.39061i | 0.905558 | + | 0.424223i | \(0.139453\pi\) |
−0.257107 | + | 0.966383i | \(0.582769\pi\) | |||||||
\(644\) | 1.24061 | + | 2.16278i | 0.0488868 | + | 0.0852255i | ||||
\(645\) | −3.03407 | − | 2.25936i | −0.119466 | − | 0.0889624i | ||||
\(646\) | 50.4511 | − | 13.4425i | 1.98497 | − | 0.528890i | ||||
\(647\) | 28.0842i | 1.10410i | 0.833810 | + | 0.552051i | \(0.186155\pi\) | ||||
−0.833810 | + | 0.552051i | \(0.813845\pi\) | |||||||
\(648\) | −21.3336 | + | 13.8881i | −0.838061 | + | 0.545576i | ||||
\(649\) | − | 1.07996i | − | 0.0423922i | ||||||
\(650\) | 5.59057 | + | 20.9819i | 0.219280 | + | 0.822978i | ||||
\(651\) | −0.130211 | − | 0.0969633i | −0.00510336 | − | 0.00380029i | ||||
\(652\) | 2.59188 | − | 9.56566i | 0.101506 | − | 0.374620i | ||||
\(653\) | −6.87415 | − | 14.7417i | −0.269006 | − | 0.576886i | 0.724679 | − | 0.689086i | \(-0.241988\pi\) |
−0.993686 | + | 0.112200i | \(0.964210\pi\) | |||||||
\(654\) | 15.2096 | − | 38.1154i | 0.594744 | − | 1.49043i | ||||
\(655\) | 0.298462 | − | 1.69266i | 0.0116619 | − | 0.0661377i | ||||
\(656\) | 28.2111 | − | 4.81138i | 1.10146 | − | 0.187853i | ||||
\(657\) | −2.98174 | + | 12.5672i | −0.116329 | + | 0.490291i | ||||
\(658\) | 1.00205 | + | 1.19760i | 0.0390639 | + | 0.0466874i | ||||
\(659\) | 13.0700 | + | 6.09466i | 0.509137 | + | 0.237414i | 0.660173 | − | 0.751114i | \(-0.270483\pi\) |
−0.151036 | + | 0.988528i | \(0.548261\pi\) | |||||||
\(660\) | 0.878505 | − | 7.32992i | 0.0341958 | − | 0.285317i | ||||
\(661\) | −1.54673 | + | 17.6792i | −0.0601610 | + | 0.687643i | 0.904901 | + | 0.425622i | \(0.139945\pi\) |
−0.965062 | + | 0.262021i | \(0.915611\pi\) | |||||||
\(662\) | −12.0917 | + | 1.04081i | −0.469958 | + | 0.0404521i | ||||
\(663\) | −30.4345 | − | 6.28813i | −1.18198 | − | 0.244211i | ||||
\(664\) | −1.76309 | − | 21.1779i | −0.0684211 | − | 0.821861i | ||||
\(665\) | −0.449956 | + | 0.259782i | −0.0174485 | + | 0.0100739i | ||||
\(666\) | 20.1168 | + | 10.8897i | 0.779510 | + | 0.421968i | ||||
\(667\) | 0.821101 | + | 3.06439i | 0.0317932 | + | 0.118654i | ||||
\(668\) | −19.9839 | + | 3.46594i | −0.773200 | + | 0.134101i | ||||
\(669\) | 18.5898 | + | 19.7089i | 0.718722 | + | 0.761989i | ||||
\(670\) | 0.0699467 | − | 0.393460i | 0.00270228 | − | 0.0152007i | ||||
\(671\) | −12.4020 | − | 70.3351i | −0.478773 | − | 2.71526i | ||||
\(672\) | −1.82657 | − | 0.561069i | −0.0704615 | − | 0.0216437i | ||||
\(673\) | 35.8732 | + | 30.1012i | 1.38281 | + | 1.16032i | 0.968159 | + | 0.250336i | \(0.0805410\pi\) |
0.414652 | + | 0.909980i | \(0.363903\pi\) | |||||||
\(674\) | −3.14904 | − | 18.0067i | −0.121296 | − | 0.693592i | ||||
\(675\) | −21.7569 | + | 12.5506i | −0.837425 | + | 0.483074i | ||||
\(676\) | 1.97567 | + | 5.47583i | 0.0759871 | + | 0.210609i | ||||
\(677\) | −13.1364 | + | 1.14929i | −0.504872 | + | 0.0441706i | −0.336747 | − | 0.941595i | \(-0.609327\pi\) |
−0.168125 | + | 0.985766i | \(0.553771\pi\) | |||||||
\(678\) | −1.49980 | − | 26.4455i | −0.0575994 | − | 1.01563i | ||||
\(679\) | −0.405638 | + | 0.0715250i | −0.0155670 | + | 0.00274488i | ||||
\(680\) | −5.31910 | − | 3.75792i | −0.203978 | − | 0.144110i | ||||
\(681\) | −43.5579 | + | 23.4793i | −1.66914 | + | 0.899728i | ||||
\(682\) | 2.51627 | − | 2.50922i | 0.0963530 | − | 0.0960832i | ||||
\(683\) | 0.232612 | + | 0.868119i | 0.00890064 | + | 0.0332176i | 0.970233 | − | 0.242172i | \(-0.0778598\pi\) |
−0.961333 | + | 0.275390i | \(0.911193\pi\) | |||||||
\(684\) | −18.7165 | + | 34.4599i | −0.715644 | + | 1.31761i | ||||
\(685\) | −1.08336 | + | 4.04315i | −0.0413930 | + | 0.154481i | ||||
\(686\) | −3.33751 | + | 1.92068i | −0.127427 | + | 0.0733319i | ||||
\(687\) | −26.9145 | − | 23.9578i | −1.02685 | − | 0.914048i | ||||
\(688\) | −12.1942 | − | 17.6247i | −0.464900 | − | 0.671936i | ||||
\(689\) | −26.8331 | + | 22.5157i | −1.02226 | + | 0.857778i | ||||
\(690\) | −5.42736 | − | 3.35908i | −0.206616 | − | 0.127878i | ||||
\(691\) | −2.37431 | − | 1.10716i | −0.0903231 | − | 0.0421183i | 0.376932 | − | 0.926241i | \(-0.376979\pi\) |
−0.467255 | + | 0.884123i | \(0.654757\pi\) | |||||||
\(692\) | 0.0141538 | + | 0.167177i | 0.000538048 | + | 0.00635513i | ||||
\(693\) | 2.90326 | + | 0.962831i | 0.110286 | + | 0.0365749i | ||||
\(694\) | 36.9363 | − | 17.1607i | 1.40208 | − | 0.651411i | ||||
\(695\) | −4.25929 | − | 0.751027i | −0.161564 | − | 0.0284881i | ||||
\(696\) | −2.06376 | − | 1.28531i | −0.0782265 | − | 0.0487196i | ||||
\(697\) | −13.8226 | + | 37.9772i | −0.523568 | + | 1.43849i | ||||
\(698\) | −18.4586 | − | 8.63890i | −0.698667 | − | 0.326987i | ||||
\(699\) | −0.564575 | + | 4.82508i | −0.0213542 | + | 0.182501i | ||||
\(700\) | −1.76987 | − | 0.649808i | −0.0668950 | − | 0.0245604i | ||||
\(701\) | 19.7056 | + | 19.7056i | 0.744270 | + | 0.744270i | 0.973397 | − | 0.229126i | \(-0.0735869\pi\) |
−0.229126 | + | 0.973397i | \(0.573587\pi\) | |||||||
\(702\) | 19.1439 | − | 13.3542i | 0.722540 | − | 0.504022i | ||||
\(703\) | 35.2391 | 1.32907 | ||||||||
\(704\) | 17.9942 | − | 37.7561i | 0.678182 | − | 1.42299i | ||||
\(705\) | −3.71478 | − | 1.47632i | −0.139907 | − | 0.0556013i | ||||
\(706\) | 42.4134 | − | 15.3699i | 1.59625 | − | 0.578453i | ||||
\(707\) | 1.19484 | + | 2.56233i | 0.0449364 | + | 0.0963665i | ||||
\(708\) | 0.679910 | − | 0.223091i | 0.0255526 | − | 0.00838426i | ||||
\(709\) | −19.3863 | − | 27.6865i | −0.728068 | − | 1.03979i | −0.997058 | − | 0.0766465i | \(-0.975579\pi\) |
0.268990 | − | 0.963143i | \(-0.413310\pi\) | |||||||
\(710\) | 2.87745 | + | 6.19338i | 0.107989 | + | 0.232433i | ||||
\(711\) | −15.0489 | + | 34.8637i | −0.564379 | + | 1.30749i | ||||
\(712\) | −17.3103 | − | 10.0915i | −0.648733 | − | 0.378193i | ||||
\(713\) | −1.05082 | − | 2.88711i | −0.0393535 | − | 0.108123i | ||||
\(714\) | 1.96557 | − | 1.84876i | 0.0735596 | − | 0.0691881i | ||||
\(715\) | −0.589974 | + | 6.74343i | −0.0220638 | + | 0.252190i | ||||
\(716\) | 9.37413 | − | 2.48364i | 0.350328 | − | 0.0928178i | ||||
\(717\) | −26.6099 | − | 13.3681i | −0.993765 | − | 0.499241i | ||||
\(718\) | −22.9545 | + | 13.2099i | −0.856656 | + | 0.492990i | ||||
\(719\) | 14.2567 | + | 24.6932i | 0.531683 | + | 0.920903i | 0.999316 | + | 0.0369798i | \(0.0117737\pi\) |
−0.467633 | + | 0.883923i | \(0.654893\pi\) | |||||||
\(720\) | 4.79617 | − | 0.961083i | 0.178743 | − | 0.0358174i | ||||
\(721\) | 0.576758 | − | 0.998974i | 0.0214796 | − | 0.0372038i | ||||
\(722\) | −0.0470293 | + | 33.5401i | −0.00175025 | + | 1.24823i | ||||
\(723\) | −9.84999 | + | 2.33321i | −0.366325 | + | 0.0867729i | ||||
\(724\) | −26.5259 | + | 26.3776i | −0.985829 | + | 0.980315i | ||||
\(725\) | −1.96511 | − | 1.37598i | −0.0729822 | − | 0.0511027i | ||||
\(726\) | −18.0099 | + | 35.7246i | −0.668409 | + | 1.32587i | ||||
\(727\) | 4.76778 | − | 5.68202i | 0.176827 | − | 0.210735i | −0.670350 | − | 0.742045i | \(-0.733856\pi\) |
0.847177 | + | 0.531311i | \(0.178300\pi\) | |||||||
\(728\) | 1.69046 | + | 0.460589i | 0.0626528 | + | 0.0170706i | ||||
\(729\) | 20.6704 | + | 17.3706i | 0.765569 | + | 0.643354i | ||||
\(730\) | 1.42641 | − | 2.03106i | 0.0527938 | − | 0.0751728i | ||||
\(731\) | 30.1508 | − | 2.63785i | 1.11517 | − | 0.0975644i | ||||
\(732\) | 41.7189 | − | 22.3372i | 1.54197 | − | 0.825607i | ||||
\(733\) | −24.2281 | + | 34.6014i | −0.894886 | + | 1.27803i | 0.0650699 | + | 0.997881i | \(0.479273\pi\) |
−0.959956 | + | 0.280150i | \(0.909616\pi\) | |||||||
\(734\) | 7.51562 | − | 42.2765i | 0.277407 | − | 1.56045i | ||||
\(735\) | 2.58096 | − | 4.18322i | 0.0952001 | − | 0.154300i | ||||
\(736\) | −23.0494 | − | 27.8636i | −0.849611 | − | 1.02707i | ||||
\(737\) | −1.81215 | + | 3.13874i | −0.0667514 | + | 0.115617i | ||||
\(738\) | −13.5783 | − | 27.1481i | −0.499824 | − | 0.999336i | ||||
\(739\) | −0.795613 | + | 2.96927i | −0.0292671 | + | 0.109226i | −0.979014 | − | 0.203792i | \(-0.934673\pi\) |
0.949747 | + | 0.313018i | \(0.101340\pi\) | |||||||
\(740\) | −2.81599 | − | 3.37514i | −0.103518 | − | 0.124073i | ||||
\(741\) | 16.1417 | − | 32.1308i | 0.592979 | − | 1.18035i | ||||
\(742\) | −0.260831 | − | 3.03024i | −0.00957541 | − | 0.111244i | ||||
\(743\) | −23.3975 | − | 27.8840i | −0.858370 | − | 1.02297i | −0.999456 | − | 0.0329680i | \(-0.989504\pi\) |
0.141087 | − | 0.989997i | \(-0.454940\pi\) | |||||||
\(744\) | 2.09952 | + | 1.06583i | 0.0769723 | + | 0.0390752i | ||||
\(745\) | 2.49503 | + | 6.85505i | 0.0914109 | + | 0.251149i | ||||
\(746\) | −3.67299 | + | 41.3151i | −0.134478 | + | 1.51265i | ||||
\(747\) | −20.9498 | + | 8.31683i | −0.766512 | + | 0.304297i | ||||
\(748\) | 33.7421 | + | 48.4775i | 1.23373 | + | 1.77251i | ||||
\(749\) | −0.511846 | + | 0.358398i | −0.0187024 | + | 0.0130956i | ||||
\(750\) | 9.71734 | − | 1.40824i | 0.354827 | − | 0.0514217i | ||||
\(751\) | −7.69815 | − | 2.80190i | −0.280909 | − | 0.102243i | 0.197723 | − | 0.980258i | \(-0.436645\pi\) |
−0.478633 | + | 0.878015i | \(0.658867\pi\) | |||||||
\(752\) | −17.2668 | − | 14.6544i | −0.629655 | − | 0.534390i | ||||
\(753\) | −5.61998 | − | 2.23348i | −0.204803 | − | 0.0813924i | ||||
\(754\) | 1.92910 | + | 1.11737i | 0.0702535 | + | 0.0406923i | ||||
\(755\) | 0.0175290 | + | 0.0175290i | 0.000637945 | + | 0.000637945i | ||||
\(756\) | −0.00643345 | + | 2.02670i | −0.000233982 | + | 0.0737103i | ||||
\(757\) | −5.83393 | + | 5.83393i | −0.212038 | + | 0.212038i | −0.805133 | − | 0.593095i | \(-0.797906\pi\) |
0.593095 | + | 0.805133i | \(0.297906\pi\) | |||||||
\(758\) | 1.71986 | + | 6.45480i | 0.0624682 | + | 0.234449i | ||||
\(759\) | 35.8975 | + | 45.4113i | 1.30300 | + | 1.64833i | ||||
\(760\) | 5.79275 | − | 4.81932i | 0.210125 | − | 0.174815i | ||||
\(761\) | 3.23541 | − | 8.88921i | 0.117283 | − | 0.322234i | −0.867136 | − | 0.498072i | \(-0.834041\pi\) |
0.984419 | + | 0.175838i | \(0.0562636\pi\) | |||||||
\(762\) | 25.1487 | + | 2.97836i | 0.911042 | + | 0.107895i | ||||
\(763\) | −1.87405 | − | 2.67642i | −0.0678452 | − | 0.0968930i | ||||
\(764\) | 6.46012 | − | 36.0458i | 0.233719 | − | 1.30409i | ||||
\(765\) | −2.17441 | + | 6.55657i | −0.0786158 | + | 0.237053i | ||||
\(766\) | −15.3927 | + | 12.8793i | −0.556163 | + | 0.465348i | ||||
\(767\) | −0.616568 | + | 0.224412i | −0.0222630 | + | 0.00810307i | ||||
\(768\) | 27.4872 | + | 3.52921i | 0.991858 | + | 0.127349i | ||||
\(769\) | −28.3247 | + | 23.7673i | −1.02142 | + | 0.857070i | −0.989805 | − | 0.142431i | \(-0.954508\pi\) |
−0.0316111 | + | 0.999500i | \(0.510064\pi\) | |||||||
\(770\) | −0.449720 | − | 0.378436i | −0.0162068 | − | 0.0136379i | ||||
\(771\) | −0.222150 | − | 3.82229i | −0.00800054 | − | 0.137656i | ||||
\(772\) | 36.2905 | − | 30.2783i | 1.30612 | − | 1.08974i | ||||
\(773\) | 30.5392 | + | 8.18296i | 1.09842 | + | 0.294321i | 0.762121 | − | 0.647435i | \(-0.224158\pi\) |
0.336299 | + | 0.941755i | \(0.390825\pi\) | |||||||
\(774\) | −14.1286 | + | 17.8081i | −0.507842 | + | 0.640099i | ||||
\(775\) | 2.01200 | + | 1.16163i | 0.0722733 | + | 0.0417270i | ||||
\(776\) | 5.62211 | − | 2.01954i | 0.201822 | − | 0.0724972i | ||||
\(777\) | 1.60317 | − | 0.864164i | 0.0575133 | − | 0.0310017i | ||||
\(778\) | −18.6100 | − | 26.6572i | −0.667199 | − | 0.955708i | ||||
\(779\) | −38.3043 | − | 26.8210i | −1.37239 | − | 0.960961i | ||||
\(780\) | −4.36733 | + | 1.02158i | −0.156375 | + | 0.0365785i | ||||
\(781\) | −5.39798 | − | 61.6992i | −0.193155 | − | 2.20777i | ||||
\(782\) | 50.3033 | − | 8.79712i | 1.79884 | − | 0.314584i | ||||
\(783\) | −0.668354 | + | 2.49064i | −0.0238850 | + | 0.0890084i | ||||
\(784\) | 21.4328 | − | 17.7803i | 0.765456 | − | 0.635012i | ||||
\(785\) | 1.83600 | + | 1.54058i | 0.0655295 | + | 0.0549858i | ||||
\(786\) | −10.1118 | − | 2.10401i | −0.360676 | − | 0.0750475i | ||||
\(787\) | 29.9388 | − | 42.7570i | 1.06720 | − | 1.52412i | 0.233146 | − | 0.972442i | \(-0.425098\pi\) |
0.834056 | − | 0.551680i | \(-0.186013\pi\) | |||||||
\(788\) | −1.59673 | + | 1.58780i | −0.0568812 | + | 0.0565630i | ||||
\(789\) | 13.8112 | − | 13.0270i | 0.491692 | − | 0.463773i | ||||
\(790\) | 5.16682 | − | 5.15235i | 0.183827 | − | 0.183313i | ||||
\(791\) | −1.82635 | − | 1.05444i | −0.0649375 | − | 0.0374917i | ||||
\(792\) | −43.8644 | − | 6.62485i | −1.55865 | − | 0.235404i | ||||
\(793\) | −37.5784 | + | 21.6959i | −1.33445 | + | 0.770444i | ||||
\(794\) | −5.22636 | + | 19.3962i | −0.185477 | + | 0.688346i | ||||
\(795\) | 4.27762 | + | 6.50555i | 0.151711 | + | 0.230728i | ||||
\(796\) | 12.4124 | + | 7.21277i | 0.439944 | + | 0.255650i | ||||
\(797\) | −45.9297 | − | 4.01833i | −1.62691 | − | 0.142336i | −0.763145 | − | 0.646227i | \(-0.776346\pi\) |
−0.863767 | + | 0.503891i | \(0.831901\pi\) | |||||||
\(798\) | 1.47758 | + | 2.75037i | 0.0523056 | + | 0.0973621i | ||||
\(799\) | 30.0532 | − | 10.9385i | 1.06321 | − | 0.386976i | ||||
\(800\) | 26.8950 | + | 4.93697i | 0.950880 | + | 0.174548i | ||||
\(801\) | −4.90628 | + | 20.6785i | −0.173355 | + | 0.730638i | ||||
\(802\) | −13.5970 | − | 4.97051i | −0.480127 | − | 0.175515i | ||||
\(803\) | −18.4381 | + | 12.9105i | −0.650667 | + | 0.455602i | ||||
\(804\) | −2.35039 | − | 0.492496i | −0.0828919 | − | 0.0173690i | ||||
\(805\) | −0.460562 | + | 0.214764i | −0.0162327 | + | 0.00756943i | ||||
\(806\) | −1.95543 | − | 0.915174i | −0.0688772 | − | 0.0322356i | ||||
\(807\) | −2.65454 | + | 0.388499i | −0.0934444 | + | 0.0136758i | ||||
\(808\) | −23.3774 | − | 33.6871i | −0.822414 | − | 1.18511i | ||||
\(809\) | − | 2.90330i | − | 0.102074i | −0.998697 | − | 0.0510372i | \(-0.983747\pi\) | ||
0.998697 | − | 0.0510372i | \(-0.0162527\pi\) | |||||||
\(810\) | −2.45368 | − | 4.57135i | −0.0862134 | − | 0.160621i | ||||
\(811\) | −20.7760 | + | 20.7760i | −0.729544 | + | 0.729544i | −0.970529 | − | 0.240985i | \(-0.922530\pi\) |
0.240985 | + | 0.970529i | \(0.422530\pi\) | |||||||
\(812\) | −0.175663 | + | 0.0813140i | −0.00616456 | + | 0.00285356i | ||||
\(813\) | −22.1254 | + | 29.7119i | −0.775971 | + | 1.04204i | ||||
\(814\) | 13.5819 | + | 37.4794i | 0.476046 | + | 1.31365i | ||||
\(815\) | 1.89809 | + | 0.690848i | 0.0664872 | + | 0.0241994i | ||||
\(816\) | −23.5497 | + | 31.2571i | −0.824406 | + | 1.09422i | ||||
\(817\) | −6.08093 | + | 34.4867i | −0.212745 | + | 1.20654i | ||||
\(818\) | 1.46014 | − | 3.99427i | 0.0510527 | − | 0.139656i | ||||
\(819\) | −0.0535920 | − | 1.85760i | −0.00187266 | − | 0.0649097i | ||||
\(820\) | 0.492065 | + | 5.81201i | 0.0171837 | + | 0.202964i | ||||
\(821\) | −8.83220 | + | 18.9407i | −0.308246 | + | 0.661036i | −0.998014 | − | 0.0629950i | \(-0.979935\pi\) |
0.689768 | + | 0.724031i | \(0.257713\pi\) | |||||||
\(822\) | 24.0853 | + | 7.25072i | 0.840071 | + | 0.252898i | ||||
\(823\) | 32.3741 | + | 38.5819i | 1.12849 | + | 1.34488i | 0.931188 | + | 0.364539i | \(0.118773\pi\) |
0.197302 | + | 0.980343i | \(0.436782\pi\) | |||||||
\(824\) | −5.78799 | + | 15.6966i | −0.201634 | + | 0.546817i | ||||
\(825\) | −42.8666 | − | 8.85676i | −1.49243 | − | 0.308353i | ||||
\(826\) | 0.0148225 | − | 0.0550096i | 0.000515740 | − | 0.00191403i | ||||
\(827\) | −21.5223 | − | 5.76689i | −0.748405 | − | 0.200534i | −0.135594 | − | 0.990764i | \(-0.543294\pi\) |
−0.612810 | + | 0.790230i | \(0.709961\pi\) | |||||||
\(828\) | −21.1741 | + | 31.9807i | −0.735851 | + | 1.11141i | ||||
\(829\) | 5.62203 | − | 1.50642i | 0.195261 | − | 0.0523201i | −0.159863 | − | 0.987139i | \(-0.551105\pi\) |
0.355124 | + | 0.934819i | \(0.384439\pi\) | |||||||
\(830\) | 4.33125 | + | 0.00607321i | 0.150340 | + | 0.000210804i | ||||
\(831\) | −12.3461 | − | 0.360760i | −0.428283 | − | 0.0125146i | ||||
\(832\) | −25.2947 | − | 2.42760i | −0.876937 | − | 0.0841620i | ||||
\(833\) | 6.82895 | + | 38.7289i | 0.236609 | + | 1.34188i | ||||
\(834\) | −5.29437 | + | 25.4446i | −0.183329 | + | 0.881074i | ||||
\(835\) | −0.360283 | − | 4.11805i | −0.0124681 | − | 0.142511i | ||||
\(836\) | −64.2834 | + | 23.1933i | −2.22329 | + | 0.802156i | ||||
\(837\) | 0.434578 | − | 2.45929i | 0.0150212 | − | 0.0850057i | ||||
\(838\) | 7.58027 | − | 10.7935i | 0.261856 | − | 0.372855i | ||||
\(839\) | −1.72641 | + | 2.05745i | −0.0596022 | + | 0.0710312i | −0.795022 | − | 0.606581i | \(-0.792541\pi\) |
0.735420 | + | 0.677612i | \(0.236985\pi\) | |||||||
\(840\) | 0.145352 | − | 0.361305i | 0.00501510 | − | 0.0124662i | ||||
\(841\) | 28.3169 | − | 4.99303i | 0.976444 | − | 0.172173i | ||||
\(842\) | 1.51680 | + | 2.17270i | 0.0522725 | + | 0.0748761i | ||||
\(843\) | 41.0487 | + | 12.2947i | 1.41379 | + | 0.423451i | ||||
\(844\) | −10.1829 | + | 14.4563i | −0.350511 | + | 0.497606i | ||||
\(845\) | −1.14604 | + | 0.307079i | −0.0394248 | + | 0.0105639i | ||||
\(846\) | −9.55056 | + | 22.0407i | −0.328355 | + | 0.757774i | ||||
\(847\) | 1.59263 | + | 2.75852i | 0.0547236 | + | 0.0947840i | ||||
\(848\) | 11.1776 | + | 42.6712i | 0.383840 | + | 1.46534i | ||||
\(849\) | −17.2502 | − | 15.3552i | −0.592027 | − | 0.526990i | ||||
\(850\) | −24.8629 | + | 29.5462i | −0.852790 | + | 1.01343i | ||||
\(851\) | 34.3355 | + | 3.00396i | 1.17700 | + | 0.102975i | ||||
\(852\) | 37.7288 | − | 16.1438i | 1.29257 | − | 0.553077i | ||||
\(853\) | −0.823113 | + | 1.76517i | −0.0281828 | + | 0.0604383i | −0.919895 | − | 0.392164i | \(-0.871727\pi\) |
0.891712 | + | 0.452602i | \(0.149504\pi\) | |||||||
\(854\) | 0.333635 | − | 3.75285i | 0.0114168 | − | 0.128420i | ||||
\(855\) | −6.67652 | − | 4.39358i | −0.228332 | − | 0.150257i | ||||
\(856\) | 6.43494 | − | 6.38103i | 0.219942 | − | 0.218099i | ||||
\(857\) | 15.7460 | + | 2.77645i | 0.537873 | + | 0.0948416i | 0.435984 | − | 0.899954i | \(-0.356400\pi\) |
0.101889 | + | 0.994796i | \(0.467511\pi\) | |||||||
\(858\) | 40.3949 | + | 4.78396i | 1.37906 | + | 0.163322i | ||||
\(859\) | 43.8260 | − | 20.4364i | 1.49532 | − | 0.697281i | 0.508799 | − | 0.860886i | \(-0.330090\pi\) |
0.986526 | + | 0.163604i | \(0.0523120\pi\) | |||||||
\(860\) | 3.78901 | − | 2.17344i | 0.129204 | − | 0.0741137i | ||||
\(861\) | −2.40034 | − | 0.280860i | −0.0818034 | − | 0.00957168i | ||||
\(862\) | 15.3637 | − | 26.5248i | 0.523291 | − | 0.903438i | ||||
\(863\) | −1.38416 | −0.0471173 | −0.0235587 | − | 0.999722i | \(-0.507500\pi\) | ||||
−0.0235587 | + | 0.999722i | \(0.507500\pi\) | |||||||
\(864\) | −4.89040 | − | 28.9842i | −0.166375 | − | 0.986063i | ||||
\(865\) | −0.0341948 | −0.00116266 | ||||||||
\(866\) | 4.73346 | − | 8.17210i | 0.160849 | − | 0.277699i | ||||
\(867\) | −10.2246 | − | 23.7114i | −0.347246 | − | 0.805280i | ||||
\(868\) | 0.162610 | − | 0.0932758i | 0.00551934 | − | 0.00316599i | ||||
\(869\) | −59.9754 | + | 27.9670i | −2.03453 | + | 0.948715i | ||||
\(870\) | 0.296514 | − | 0.397021i | 0.0100528 | − | 0.0134603i | ||||
\(871\) | 2.16852 | + | 0.382368i | 0.0734774 | + | 0.0129561i | ||||
\(872\) | 33.3661 | + | 33.6480i | 1.12992 | + | 1.13947i | ||||
\(873\) | −3.78246 | − | 5.08335i | −0.128017 | − | 0.172045i | ||||
\(874\) | −5.23220 | + | 58.8538i | −0.176982 | + | 1.99076i | ||||
\(875\) | 0.330379 | − | 0.708501i | 0.0111689 | − | 0.0239517i | ||||
\(876\) | −11.9369 | − | 8.94110i | −0.403309 | − | 0.302092i | ||||
\(877\) | −12.2120 | − | 1.06841i | −0.412371 | − | 0.0360778i | −0.120917 | − | 0.992663i | \(-0.538583\pi\) |
−0.291454 | + | 0.956585i | \(0.594139\pi\) | |||||||
\(878\) | 5.40875 | − | 6.42757i | 0.182536 | − | 0.216920i | ||||
\(879\) | 27.7247 | − | 9.18316i | 0.935129 | − | 0.309740i | ||||
\(880\) | 7.35836 | + | 4.30356i | 0.248050 | + | 0.145073i | ||||
\(881\) | −29.3197 | − | 50.7832i | −0.987805 | − | 1.71093i | −0.628739 | − | 0.777616i | \(-0.716429\pi\) |
−0.359066 | − | 0.933312i | \(-0.616905\pi\) | |||||||
\(882\) | −24.6511 | − | 16.2716i | −0.830046 | − | 0.547893i | ||||
\(883\) | −57.2289 | + | 15.3344i | −1.92590 | + | 0.516045i | −0.942660 | + | 0.333755i | \(0.891684\pi\) |
−0.983245 | + | 0.182290i | \(0.941649\pi\) | |||||||
\(884\) | 20.6651 | − | 29.3374i | 0.695044 | − | 0.986725i | ||||
\(885\) | 0.0336163 | + | 0.141916i | 0.00113000 | + | 0.00477046i | ||||
\(886\) | 4.72330 | + | 6.76575i | 0.158683 | + | 0.227300i | ||||
\(887\) | 44.7958 | − | 7.89872i | 1.50410 | − | 0.265213i | 0.639936 | − | 0.768428i | \(-0.278961\pi\) |
0.864161 | + | 0.503215i | \(0.167850\pi\) | |||||||
\(888\) | −20.7902 | + | 16.2930i | −0.697675 | + | 0.546757i | ||||
\(889\) | 1.29602 | − | 1.54454i | 0.0434671 | − | 0.0518021i | ||||
\(890\) | 2.34707 | − | 3.34198i | 0.0786740 | − | 0.112024i | ||||
\(891\) | 6.79650 | + | 46.5594i | 0.227691 | + | 1.55980i | ||||
\(892\) | −29.4273 | + | 10.6173i | −0.985298 | + | 0.355493i | ||||
\(893\) | 3.22513 | + | 36.8634i | 0.107925 | + | 1.23359i | ||||
\(894\) | 41.6327 | − | 13.7251i | 1.39241 | − | 0.459037i | ||||
\(895\) | 0.343214 | + | 1.94646i | 0.0114724 | + | 0.0650631i | ||||
\(896\) | 1.43477 | − | 1.67620i | 0.0479323 | − | 0.0559979i | ||||
\(897\) | 18.4667 | − | 29.9309i | 0.616586 | − | 0.999362i | ||||
\(898\) | 0.328058 | 0.000459997i | 0.0109474 | 1.53503e-5i | ||||||
\(899\) | 0.230398 | − | 0.0617349i | 0.00768420 | − | 0.00205898i | ||||
\(900\) | −3.27914 | − | 28.8171i | −0.109305 | − | 0.960569i | ||||
\(901\) | −60.1702 | − | 16.1226i | −2.00456 | − | 0.537120i | ||||
\(902\) | 13.7628 | − | 51.0769i | 0.458251 | − | 1.70068i | ||||
\(903\) | 0.569067 | + | 1.71806i | 0.0189374 | + | 0.0571733i | ||||
\(904\) | 28.6969 | + | 10.5817i | 0.954445 | + | 0.351943i | ||||
\(905\) | −4.90084 | − | 5.84059i | −0.162909 | − | 0.194148i | ||||
\(906\) | 0.108509 | − | 0.102061i | 0.00360498 | − | 0.00339074i | ||||
\(907\) | −7.38633 | + | 15.8400i | −0.245259 | + | 0.525960i | −0.989945 | − | 0.141456i | \(-0.954822\pi\) |
0.744686 | + | 0.667416i | \(0.232599\pi\) | |||||||
\(908\) | −4.82027 | − | 56.9344i | −0.159966 | − | 1.88943i | ||||
\(909\) | −26.9832 | + | 34.1086i | −0.894977 | + | 1.13131i | ||||
\(910\) | −0.122605 | + | 0.335391i | −0.00406432 | + | 0.0111181i | ||||
\(911\) | −7.74655 | + | 43.9329i | −0.256655 | + | 1.45556i | 0.535135 | + | 0.844767i | \(0.320261\pi\) |
−0.791790 | + | 0.610794i | \(0.790850\pi\) | |||||||
\(912\) | −27.8810 | − | 35.6797i | −0.923231 | − | 1.18147i | ||||
\(913\) | −36.9119 | − | 13.4349i | −1.22161 | − | 0.444629i | ||||
\(914\) | 8.52134 | + | 23.5147i | 0.281861 | + | 0.777798i | ||||
\(915\) | 3.81907 | + | 8.85660i | 0.126255 | + | 0.292790i | ||||
\(916\) | 37.7581 | − | 17.4781i | 1.24756 | − | 0.577494i | ||||
\(917\) | −0.581462 | + | 0.581462i | −0.0192016 | + | 0.0192016i | ||||
\(918\) | 38.9811 | + | 14.2662i | 1.28657 | + | 0.470856i | ||||
\(919\) | 43.6965i | 1.44142i | 0.693239 | + | 0.720708i | \(0.256183\pi\) | ||||
−0.693239 | + | 0.720708i | \(0.743817\pi\) | |||||||
\(920\) | 6.05503 | − | 4.20193i | 0.199628 | − | 0.138533i | ||||
\(921\) | −9.05751 | − | 11.4580i | −0.298455 | − | 0.377554i | ||||
\(922\) | 19.7471 | + | 9.24196i | 0.650337 | + | 0.304368i | ||||
\(923\) | −34.1035 | + | 15.9027i | −1.12253 | + | 0.523444i | ||||
\(924\) | −2.35574 | + | 2.63157i | −0.0774981 | + | 0.0865722i | ||||
\(925\) | −21.3493 | + | 14.9490i | −0.701962 | + | 0.491519i | ||||
\(926\) | −11.5686 | − | 4.22901i | −0.380168 | − | 0.138974i | ||||
\(927\) | 17.7143 | + | 1.03612i | 0.581814 | + | 0.0340308i | ||||
\(928\) | 2.31092 | − | 1.59410i | 0.0758596 | − | 0.0523287i | ||||
\(929\) | 4.21501 | − | 1.53414i | 0.138290 | − | 0.0503335i | −0.271948 | − | 0.962312i | \(-0.587668\pi\) |
0.410238 | + | 0.911978i | \(0.365446\pi\) | |||||||
\(930\) | −0.252555 | + | 0.408059i | −0.00828159 | + | 0.0133808i | ||||
\(931\) | −45.3288 | − | 3.96575i | −1.48559 | − | 0.129972i | ||||
\(932\) | −4.85012 | − | 2.81838i | −0.158871 | − | 0.0923192i | ||||
\(933\) | −57.7549 | + | 3.35669i | −1.89081 | + | 0.109893i | ||||
\(934\) | 11.8133 | − | 43.8417i | 0.386541 | − | 1.43454i | ||||
\(935\) | −10.4253 | + | 6.01904i | −0.340943 | + | 0.196844i | ||||
\(936\) | 5.33265 | + | 26.4196i | 0.174303 | + | 0.863551i | ||||
\(937\) | −2.90386 | − | 1.67655i | −0.0948651 | − | 0.0547704i | 0.451817 | − | 0.892111i | \(-0.350776\pi\) |
−0.546682 | + | 0.837340i | \(0.684109\pi\) | |||||||
\(938\) | −0.135384 | + | 0.135005i | −0.00442045 | + | 0.00440807i | ||||
\(939\) | 30.9192 | + | 9.26076i | 1.00901 | + | 0.302213i | ||||
\(940\) | 3.27299 | − | 3.25469i | 0.106753 | − | 0.106156i | ||||
\(941\) | 5.08830 | − | 7.26684i | 0.165874 | − | 0.236892i | −0.727607 | − | 0.685995i | \(-0.759367\pi\) |
0.893480 | + | 0.449102i | \(0.148256\pi\) | |||||||
\(942\) | 9.59099 | − | 10.7443i | 0.312491 | − | 0.350067i | ||||
\(943\) | −35.0357 | − | 29.3985i | −1.14092 | − | 0.957345i | ||||
\(944\) | −0.0766301 | + | 0.822713i | −0.00249410 | + | 0.0267770i | ||||
\(945\) | −0.411484 | − | 0.0361536i | −0.0133856 | − | 0.00117608i | ||||
\(946\) | −39.0229 | + | 6.82439i | −1.26874 | + | 0.221880i | ||||
\(947\) | −3.22220 | − | 36.8299i | −0.104707 | − | 1.19681i | −0.848793 | − | 0.528726i | \(-0.822670\pi\) |
0.744086 | − | 0.668084i | \(-0.232885\pi\) | |||||||
\(948\) | −29.9964 | − | 31.9814i | −0.974239 | − | 1.03871i | ||||
\(949\) | 11.2022 | + | 7.84387i | 0.363639 | + | 0.254623i | ||||
\(950\) | −25.5756 | − | 36.6349i | −0.829781 | − | 1.18859i | ||||
\(951\) | 0.571464 | − | 19.5570i | 0.0185310 | − | 0.634179i | ||||
\(952\) | 1.05336 | + | 2.93240i | 0.0341395 | + | 0.0950395i | ||||
\(953\) | 32.0848 | + | 18.5241i | 1.03933 | + | 0.600056i | 0.919643 | − | 0.392756i | \(-0.128478\pi\) |
0.119685 | + | 0.992812i | \(0.461812\pi\) | |||||||
\(954\) | 39.8614 | − | 24.4962i | 1.29056 | − | 0.793094i | ||||
\(955\) | 7.20933 | + | 1.93173i | 0.233288 | + | 0.0625094i | ||||
\(956\) | 26.4030 | − | 22.0289i | 0.853935 | − | 0.712465i | ||||
\(957\) | −3.75499 | + | 2.46903i | −0.121382 | + | 0.0798125i | ||||
\(958\) | 25.5710 | + | 21.5178i | 0.826161 | + | 0.695207i | ||||
\(959\) | 1.53408 | − | 1.28725i | 0.0495380 | − | 0.0415673i | ||||
\(960\) | −1.18935 | + | 5.52159i | −0.0383861 | + | 0.178209i | ||||
\(961\) | 28.9134 | − | 10.5236i | 0.932690 | − | 0.339472i | ||||
\(962\) | 18.5754 | − | 15.5423i | 0.598894 | − | 0.501103i | ||||
\(963\) | −8.45942 | − | 4.56397i | −0.272601 | − | 0.147072i | ||||
\(964\) | 2.06196 | − | 11.5052i | 0.0664114 | − | 0.370558i | ||||
\(965\) | 5.52514 | + | 7.89071i | 0.177860 | + | 0.254011i | ||||
\(966\) | 1.20523 | + | 2.80580i | 0.0387777 | + | 0.0902751i | ||||
\(967\) | 9.63140 | − | 26.4620i | 0.309725 | − | 0.850962i | −0.682985 | − | 0.730432i | \(-0.739319\pi\) |
0.992710 | − | 0.120530i | \(-0.0384592\pi\) | |||||||
\(968\) | −29.5456 | − | 35.5134i | −0.949631 | − | 1.14144i | ||||
\(969\) | 63.2715 | − | 9.25994i | 2.03257 | − | 0.297472i | ||||
\(970\) | 0.313474 | + | 1.17650i | 0.0100650 | + | 0.0377751i | ||||
\(971\) | 10.2953 | − | 10.2953i | 0.330392 | − | 0.330392i | −0.522344 | − | 0.852735i | \(-0.674942\pi\) |
0.852735 | + | 0.522344i | \(0.174942\pi\) | |||||||
\(972\) | −27.9084 | + | 13.8968i | −0.895163 | + | 0.445739i | ||||
\(973\) | 1.46315 | + | 1.46315i | 0.0469064 | + | 0.0469064i | ||||
\(974\) | −25.2631 | − | 14.6329i | −0.809481 | − | 0.468869i | ||||
\(975\) | 3.85108 | + | 26.3137i | 0.123333 | + | 0.842713i | ||||
\(976\) | 4.45709 | + | 54.4612i | 0.142668 | + | 1.74326i | ||||
\(977\) | 48.4004 | + | 17.6163i | 1.54847 | + | 0.563595i | 0.968057 | − | 0.250730i | \(-0.0806708\pi\) |
0.580408 | + | 0.814326i | \(0.302893\pi\) | |||||||
\(978\) | 4.49860 | − | 11.2735i | 0.143850 | − | 0.360487i | ||||
\(979\) | −30.3388 | + | 21.2434i | −0.969632 | + | 0.678944i | ||||
\(980\) | 3.24243 | + | 4.65842i | 0.103576 | + | 0.148808i | ||||
\(981\) | 23.8648 | − | 44.2340i | 0.761946 | − | 1.41228i | ||||
\(982\) | −1.53593 | + | 17.2767i | −0.0490134 | + | 0.551321i | ||||
\(983\) | −2.77730 | − | 7.63056i | −0.0885820 | − | 0.243377i | 0.887489 | − | 0.460829i | \(-0.152448\pi\) |
−0.976071 | + | 0.217452i | \(0.930226\pi\) | |||||||
\(984\) | 34.9995 | − | 1.88647i | 1.11574 | − | 0.0601384i | ||||
\(985\) | −0.295006 | − | 0.351575i | −0.00939969 | − | 0.0112021i | ||||
\(986\) | 0.339997 | + | 3.94996i | 0.0108277 | + | 0.125792i | ||||
\(987\) | 1.05072 | + | 1.59797i | 0.0334448 | + | 0.0508640i | ||||
\(988\) | 26.5993 | + | 31.8810i | 0.846237 | + | 1.01427i | ||||
\(989\) | −8.86482 | + | 33.0840i | −0.281885 | + | 1.05201i | ||||
\(990\) | 2.09962 | − | 8.79436i | 0.0667304 | − | 0.279503i | ||||
\(991\) | −16.1712 | + | 28.0093i | −0.513694 | + | 0.889744i | 0.486180 | + | 0.873859i | \(0.338390\pi\) |
−0.999874 | + | 0.0158854i | \(0.994943\pi\) | |||||||
\(992\) | −2.09494 | + | 1.73298i | −0.0665144 | + | 0.0550222i | ||||
\(993\) | −14.8577 | − | 0.434149i | −0.471495 | − | 0.0137773i | ||||
\(994\) | 0.571868 | − | 3.21684i | 0.0181386 | − | 0.102032i | ||||
\(995\) | −1.67823 | + | 2.39677i | −0.0532036 | + | 0.0759826i | ||||
\(996\) | 0.833159 | − | 26.0139i | 0.0263996 | − | 0.824282i | ||||
\(997\) | −57.5226 | + | 5.03257i | −1.82176 | + | 0.159383i | −0.946169 | − | 0.323673i | \(-0.895082\pi\) |
−0.875589 | + | 0.483056i | \(0.839527\pi\) | |||||||
\(998\) | −22.2423 | + | 31.6707i | −0.704068 | + | 1.00252i | ||||
\(999\) | 22.9436 | + | 16.0779i | 0.725903 | + | 0.508683i |
(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 | 432.2.bg.a.205.25 | yes | 840 | |
16.5 | even | 4 | inner | 432.2.bg.a.421.56 | yes | 840 | |
27.22 | even | 9 | inner | 432.2.bg.a.157.56 | ✓ | 840 | |
432.373 | even | 36 | inner | 432.2.bg.a.373.25 | yes | 840 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
432.2.bg.a.157.56 | ✓ | 840 | 27.22 | even | 9 | inner | |
432.2.bg.a.205.25 | yes | 840 | 1.1 | even | 1 | trivial | |
432.2.bg.a.373.25 | yes | 840 | 432.373 | even | 36 | inner | |
432.2.bg.a.421.56 | yes | 840 | 16.5 | even | 4 | inner |