Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(95,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 21, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.bn (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(640\) |
Relative dimension: | \(80\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 95.5 | ||
Character | \(\chi\) | \(=\) | 572.95 |
Dual form | 572.2.bn.a.283.5 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39373 | − | 0.239824i | −0.985516 | − | 0.169581i | ||||
\(3\) | 0.309391 | − | 0.278577i | 0.178627 | − | 0.160837i | −0.574967 | − | 0.818177i | \(-0.694985\pi\) |
0.753594 | + | 0.657340i | \(0.228318\pi\) | |||||||
\(4\) | 1.88497 | + | 0.668501i | 0.942484 | + | 0.334250i | ||||
\(5\) | −2.28550 | − | 3.14573i | −1.02211 | − | 1.40681i | −0.910715 | − | 0.413036i | \(-0.864468\pi\) |
−0.111394 | − | 0.993776i | \(-0.535532\pi\) | |||||||
\(6\) | −0.498018 | + | 0.314062i | −0.203315 | + | 0.128215i | ||||
\(7\) | 2.11116 | + | 1.90090i | 0.797943 | + | 0.718471i | 0.963494 | − | 0.267730i | \(-0.0862735\pi\) |
−0.165551 | + | 0.986201i | \(0.552940\pi\) | |||||||
\(8\) | −2.46682 | − | 1.38377i | −0.872151 | − | 0.489237i | ||||
\(9\) | −0.295468 | + | 2.81119i | −0.0984892 | + | 0.937062i | ||||
\(10\) | 2.43096 | + | 4.93242i | 0.768736 | + | 1.55977i | ||||
\(11\) | −2.03103 | − | 2.62201i | −0.612379 | − | 0.790564i | ||||
\(12\) | 0.769422 | − | 0.318281i | 0.222113 | − | 0.0918798i | ||||
\(13\) | −2.51393 | − | 2.58460i | −0.697238 | − | 0.716840i | ||||
\(14\) | −2.48651 | − | 3.15565i | −0.664547 | − | 0.843382i | ||||
\(15\) | −1.58344 | − | 0.336571i | −0.408843 | − | 0.0869024i | ||||
\(16\) | 3.10621 | + | 2.52021i | 0.776553 | + | 0.630052i | ||||
\(17\) | 0.454305 | − | 1.02039i | 0.110185 | − | 0.247480i | −0.850034 | − | 0.526728i | \(-0.823419\pi\) |
0.960219 | + | 0.279248i | \(0.0900852\pi\) | |||||||
\(18\) | 1.08599 | − | 3.84718i | 0.255971 | − | 0.906788i | ||||
\(19\) | −0.926897 | − | 4.36071i | −0.212645 | − | 1.00041i | −0.946897 | − | 0.321538i | \(-0.895800\pi\) |
0.734252 | − | 0.678877i | \(-0.237533\pi\) | |||||||
\(20\) | −2.20518 | − | 7.45746i | −0.493094 | − | 1.66754i | ||||
\(21\) | 1.18272 | 0.258091 | ||||||||
\(22\) | 2.20189 | + | 4.14146i | 0.469444 | + | 0.882962i | ||||
\(23\) | −3.61143 | − | 2.08506i | −0.753035 | − | 0.434765i | 0.0737545 | − | 0.997276i | \(-0.476502\pi\) |
−0.826789 | + | 0.562512i | \(0.809835\pi\) | |||||||
\(24\) | −1.14870 | + | 0.259072i | −0.234477 | + | 0.0528828i | ||||
\(25\) | −3.12698 | + | 9.62387i | −0.625397 | + | 1.92477i | ||||
\(26\) | 2.88389 | + | 4.20514i | 0.565577 | + | 0.824696i | ||||
\(27\) | 1.42585 | + | 1.96252i | 0.274405 | + | 0.377686i | ||||
\(28\) | 2.70872 | + | 4.99444i | 0.511900 | + | 0.943861i | ||||
\(29\) | −1.82546 | + | 8.58810i | −0.338979 | + | 1.59477i | 0.397034 | + | 0.917804i | \(0.370039\pi\) |
−0.736013 | + | 0.676967i | \(0.763294\pi\) | |||||||
\(30\) | 2.12618 | + | 0.848838i | 0.388185 | + | 0.154976i | ||||
\(31\) | −1.15162 | − | 0.836700i | −0.206837 | − | 0.150276i | 0.479545 | − | 0.877518i | \(-0.340802\pi\) |
−0.686381 | + | 0.727242i | \(0.740802\pi\) | |||||||
\(32\) | −3.72482 | − | 4.25743i | −0.658461 | − | 0.752615i | ||||
\(33\) | −1.35881 | − | 0.245427i | −0.236539 | − | 0.0427233i | ||||
\(34\) | −0.877892 | + | 1.31319i | −0.150557 | + | 0.225210i | ||||
\(35\) | 1.15464 | − | 10.9856i | 0.195169 | − | 1.85691i | ||||
\(36\) | −2.43623 | + | 5.10148i | −0.406038 | + | 0.850246i | ||||
\(37\) | −1.24263 | + | 5.84611i | −0.204287 | + | 0.961095i | 0.749823 | + | 0.661639i | \(0.230139\pi\) |
−0.954110 | + | 0.299457i | \(0.903195\pi\) | |||||||
\(38\) | 0.246041 | + | 6.29994i | 0.0399131 | + | 1.02199i | ||||
\(39\) | −1.49780 | − | 0.0993309i | −0.239840 | − | 0.0159057i | ||||
\(40\) | 1.28495 | + | 10.9225i | 0.203168 | + | 1.72701i | ||||
\(41\) | −4.77808 | − | 5.30660i | −0.746211 | − | 0.828752i | 0.243787 | − | 0.969829i | \(-0.421610\pi\) |
−0.989999 | + | 0.141077i | \(0.954943\pi\) | |||||||
\(42\) | −1.64839 | − | 0.283645i | −0.254353 | − | 0.0437674i | ||||
\(43\) | −6.16915 | − | 10.6853i | −0.940786 | − | 1.62949i | −0.763976 | − | 0.645245i | \(-0.776755\pi\) |
−0.176810 | − | 0.984245i | \(-0.556578\pi\) | |||||||
\(44\) | −2.07562 | − | 6.30014i | −0.312911 | − | 0.949782i | ||||
\(45\) | 9.51852 | − | 5.49552i | 1.41894 | − | 0.819224i | ||||
\(46\) | 4.53331 | + | 3.77212i | 0.668400 | + | 0.556169i | ||||
\(47\) | −2.44646 | + | 7.52943i | −0.356853 | + | 1.09828i | 0.598075 | + | 0.801440i | \(0.295933\pi\) |
−0.954927 | + | 0.296839i | \(0.904067\pi\) | |||||||
\(48\) | 1.66311 | − | 0.0855902i | 0.240049 | − | 0.0123539i | ||||
\(49\) | 0.111888 | + | 1.06454i | 0.0159840 | + | 0.152077i | ||||
\(50\) | 6.66621 | − | 12.6631i | 0.942744 | − | 1.79084i | ||||
\(51\) | −0.143698 | − | 0.442258i | −0.0201218 | − | 0.0619285i | ||||
\(52\) | −3.01086 | − | 6.55246i | −0.417532 | − | 0.908662i | ||||
\(53\) | −7.73589 | − | 5.62045i | −1.06261 | − | 0.772029i | −0.0880377 | − | 0.996117i | \(-0.528060\pi\) |
−0.974569 | + | 0.224088i | \(0.928060\pi\) | |||||||
\(54\) | −1.51659 | − | 3.07717i | −0.206382 | − | 0.418750i | ||||
\(55\) | −3.60618 | + | 12.3817i | −0.486257 | + | 1.66954i | ||||
\(56\) | −2.57743 | − | 7.61052i | −0.344424 | − | 1.01700i | ||||
\(57\) | −1.50157 | − | 1.09095i | −0.198888 | − | 0.144500i | ||||
\(58\) | 4.60383 | − | 11.5317i | 0.604513 | − | 1.51419i | ||||
\(59\) | −1.11946 | + | 1.24329i | −0.145741 | + | 0.161862i | −0.811596 | − | 0.584220i | \(-0.801401\pi\) |
0.665854 | + | 0.746082i | \(0.268067\pi\) | |||||||
\(60\) | −2.75974 | − | 1.69296i | −0.356281 | − | 0.218560i | ||||
\(61\) | −0.916953 | + | 2.05951i | −0.117404 | + | 0.263693i | −0.962683 | − | 0.270632i | \(-0.912767\pi\) |
0.845279 | + | 0.534325i | \(0.179434\pi\) | |||||||
\(62\) | 1.40438 | + | 1.44232i | 0.178357 | + | 0.183175i | ||||
\(63\) | −5.96756 | + | 5.37321i | −0.751841 | + | 0.676961i | ||||
\(64\) | 4.17035 | + | 6.82702i | 0.521294 | + | 0.853377i | ||||
\(65\) | −2.38486 | + | 13.8153i | −0.295806 | + | 1.71357i | ||||
\(66\) | 1.83496 | + | 0.667936i | 0.225868 | + | 0.0822172i | ||||
\(67\) | 2.05754 | − | 3.56377i | 0.251369 | − | 0.435383i | −0.712534 | − | 0.701637i | \(-0.752453\pi\) |
0.963903 | + | 0.266254i | \(0.0857860\pi\) | |||||||
\(68\) | 1.53848 | − | 1.61969i | 0.186568 | − | 0.196417i | ||||
\(69\) | −1.69820 | + | 0.360963i | −0.204439 | + | 0.0434548i | ||||
\(70\) | −4.24388 | + | 15.0341i | −0.507240 | + | 1.79692i | ||||
\(71\) | 5.70864 | + | 2.54165i | 0.677491 | + | 0.301638i | 0.716486 | − | 0.697601i | \(-0.245749\pi\) |
−0.0389957 | + | 0.999239i | \(0.512416\pi\) | |||||||
\(72\) | 4.61890 | − | 6.52582i | 0.544343 | − | 0.769075i | ||||
\(73\) | 0.975711 | + | 3.00293i | 0.114198 | + | 0.351466i | 0.991779 | − | 0.127963i | \(-0.0408438\pi\) |
−0.877581 | + | 0.479429i | \(0.840844\pi\) | |||||||
\(74\) | 3.13393 | − | 7.84989i | 0.364312 | − | 0.912532i | ||||
\(75\) | 1.71353 | + | 3.84865i | 0.197861 | + | 0.444404i | ||||
\(76\) | 1.16796 | − | 8.83943i | 0.133975 | − | 1.01395i | ||||
\(77\) | 0.696330 | − | 9.39625i | 0.0793541 | − | 1.07080i | ||||
\(78\) | 2.06371 | + | 0.497649i | 0.233669 | + | 0.0563477i | ||||
\(79\) | −9.69146 | − | 7.04126i | −1.09037 | − | 0.792204i | −0.110912 | − | 0.993830i | \(-0.535377\pi\) |
−0.979462 | + | 0.201627i | \(0.935377\pi\) | |||||||
\(80\) | 0.828617 | − | 15.5312i | 0.0926422 | − | 1.73645i | ||||
\(81\) | −7.30685 | − | 1.55312i | −0.811872 | − | 0.172569i | ||||
\(82\) | 5.38671 | + | 8.54187i | 0.594862 | + | 0.943292i | ||||
\(83\) | −6.27914 | − | 8.64249i | −0.689225 | − | 0.948637i | 0.310773 | − | 0.950484i | \(-0.399412\pi\) |
−0.999998 | + | 0.00184726i | \(0.999412\pi\) | |||||||
\(84\) | 2.22939 | + | 0.790650i | 0.243247 | + | 0.0862670i | ||||
\(85\) | −4.24817 | + | 0.902977i | −0.460779 | + | 0.0979416i | ||||
\(86\) | 6.03554 | + | 16.3719i | 0.650829 | + | 1.76543i | ||||
\(87\) | 1.82767 | + | 3.16562i | 0.195947 | + | 0.339390i | ||||
\(88\) | 1.38192 | + | 9.27849i | 0.147314 | + | 0.989090i | ||||
\(89\) | 7.14190 | + | 4.12338i | 0.757040 | + | 0.437077i | 0.828232 | − | 0.560385i | \(-0.189347\pi\) |
−0.0711920 | + | 0.997463i | \(0.522680\pi\) | |||||||
\(90\) | −14.5842 | + | 5.37650i | −1.53731 | + | 0.566733i | ||||
\(91\) | −0.394239 | − | 10.2352i | −0.0413275 | − | 1.07294i | ||||
\(92\) | −5.41357 | − | 6.34451i | −0.564403 | − | 0.661461i | ||||
\(93\) | −0.589386 | + | 0.0619470i | −0.0611165 | + | 0.00642360i | ||||
\(94\) | 5.21544 | − | 9.90727i | 0.537932 | − | 1.02186i | ||||
\(95\) | −11.5992 | + | 12.8822i | −1.19005 | + | 1.32168i | ||||
\(96\) | −2.33845 | − | 0.279564i | −0.238667 | − | 0.0285329i | ||||
\(97\) | −1.87021 | − | 0.196567i | −0.189891 | − | 0.0199584i | 0.00910551 | − | 0.999959i | \(-0.497102\pi\) |
−0.198997 | + | 0.980000i | \(0.563768\pi\) | |||||||
\(98\) | 0.0993614 | − | 1.51052i | 0.0100370 | − | 0.152585i | ||||
\(99\) | 7.97105 | − | 4.93489i | 0.801121 | − | 0.495975i | ||||
\(100\) | −12.3278 | + | 16.0503i | −1.23278 | + | 1.60503i | ||||
\(101\) | 2.80800 | + | 6.30687i | 0.279406 | + | 0.627557i | 0.997671 | − | 0.0682133i | \(-0.0217298\pi\) |
−0.718264 | + | 0.695770i | \(0.755063\pi\) | |||||||
\(102\) | 0.0942125 | + | 0.650851i | 0.00932843 | + | 0.0644438i | ||||
\(103\) | 16.3681 | − | 5.31831i | 1.61279 | − | 0.524029i | 0.642568 | − | 0.766228i | \(-0.277869\pi\) |
0.970226 | + | 0.242200i | \(0.0778689\pi\) | |||||||
\(104\) | 2.62489 | + | 9.85444i | 0.257392 | + | 0.966307i | ||||
\(105\) | −2.70312 | − | 3.72052i | −0.263797 | − | 0.363086i | ||||
\(106\) | 9.43383 | + | 9.68865i | 0.916294 | + | 0.941045i | ||||
\(107\) | 5.44376 | + | 6.04590i | 0.526268 | + | 0.584480i | 0.946406 | − | 0.322981i | \(-0.104685\pi\) |
−0.420138 | + | 0.907460i | \(0.638018\pi\) | |||||||
\(108\) | 1.37574 | + | 4.65246i | 0.132381 | + | 0.447683i | ||||
\(109\) | −13.9141 | −1.33273 | −0.666364 | − | 0.745627i | \(-0.732150\pi\) | ||||
−0.666364 | + | 0.745627i | \(0.732150\pi\) | |||||||
\(110\) | 7.99547 | − | 16.3919i | 0.762338 | − | 1.56290i | ||||
\(111\) | 1.24414 | + | 2.15491i | 0.118088 | + | 0.204535i | ||||
\(112\) | 1.76706 | + | 11.2251i | 0.166971 | + | 1.06068i | ||||
\(113\) | 9.48519 | − | 2.01614i | 0.892291 | − | 0.189662i | 0.261121 | − | 0.965306i | \(-0.415908\pi\) |
0.631171 | + | 0.775644i | \(0.282575\pi\) | |||||||
\(114\) | 1.83114 | + | 1.88061i | 0.171502 | + | 0.176135i | ||||
\(115\) | 1.69491 | + | 16.1260i | 0.158051 | + | 1.50376i | ||||
\(116\) | −9.18208 | + | 14.9680i | −0.852535 | + | 1.38974i | ||||
\(117\) | 8.00858 | − | 6.30345i | 0.740394 | − | 0.582754i | ||||
\(118\) | 1.85840 | − | 1.46433i | 0.171079 | − | 0.134803i | ||||
\(119\) | 2.89876 | − | 1.29061i | 0.265729 | − | 0.118310i | ||||
\(120\) | 3.44033 | + | 3.02138i | 0.314057 | + | 0.275813i | ||||
\(121\) | −2.74982 | + | 10.6507i | −0.249984 | + | 0.968250i | ||||
\(122\) | 1.77191 | − | 2.65050i | 0.160421 | − | 0.239965i | ||||
\(123\) | −2.95660 | − | 0.310751i | −0.266587 | − | 0.0280195i | ||||
\(124\) | −1.61143 | − | 2.34701i | −0.144711 | − | 0.210768i | ||||
\(125\) | 18.9307 | − | 6.15095i | 1.69321 | − | 0.550157i | ||||
\(126\) | 9.60579 | − | 6.05764i | 0.855752 | − | 0.539658i | ||||
\(127\) | −1.86176 | − | 17.7135i | −0.165205 | − | 1.57182i | −0.692044 | − | 0.721855i | \(-0.743290\pi\) |
0.526839 | − | 0.849965i | \(-0.323377\pi\) | |||||||
\(128\) | −4.17506 | − | 10.5152i | −0.369027 | − | 0.929419i | ||||
\(129\) | −4.88536 | − | 1.58735i | −0.430132 | − | 0.139758i | ||||
\(130\) | 6.63709 | − | 18.6828i | 0.582111 | − | 1.63859i | ||||
\(131\) | 22.3317 | 1.95113 | 0.975566 | − | 0.219706i | \(-0.0705100\pi\) | ||||
0.975566 | + | 0.219706i | \(0.0705100\pi\) | |||||||
\(132\) | −2.39726 | − | 1.37099i | −0.208654 | − | 0.119329i | ||||
\(133\) | 6.33243 | − | 10.9681i | 0.549091 | − | 0.951054i | ||||
\(134\) | −3.72233 | + | 4.47348i | −0.321561 | + | 0.386450i | ||||
\(135\) | 2.91475 | − | 8.97068i | 0.250862 | − | 0.772073i | ||||
\(136\) | −2.53267 | + | 1.88845i | −0.217175 | + | 0.161933i | ||||
\(137\) | 6.13305 | − | 13.7751i | 0.523982 | − | 1.17688i | −0.436795 | − | 0.899561i | \(-0.643887\pi\) |
0.960777 | − | 0.277322i | \(-0.0894468\pi\) | |||||||
\(138\) | 2.45339 | − | 0.0958159i | 0.208847 | − | 0.00815639i | ||||
\(139\) | 3.92962 | − | 4.36428i | 0.333306 | − | 0.370174i | −0.553074 | − | 0.833132i | \(-0.686545\pi\) |
0.886380 | + | 0.462958i | \(0.153212\pi\) | |||||||
\(140\) | 9.52037 | − | 19.9357i | 0.804618 | − | 1.68488i | ||||
\(141\) | 1.34061 | + | 3.01107i | 0.112900 | + | 0.253578i | ||||
\(142\) | −7.34675 | − | 4.91144i | −0.616526 | − | 0.412159i | ||||
\(143\) | −1.67098 | + | 11.8409i | −0.139734 | + | 0.990189i | ||||
\(144\) | −8.00256 | + | 7.98751i | −0.666880 | + | 0.665625i | ||||
\(145\) | 31.1879 | − | 13.8858i | 2.59002 | − | 1.15315i | ||||
\(146\) | −0.639702 | − | 4.41927i | −0.0529421 | − | 0.365742i | ||||
\(147\) | 0.331174 | + | 0.298190i | 0.0273148 | + | 0.0245943i | ||||
\(148\) | −6.25045 | + | 10.1890i | −0.513784 | + | 0.837534i | ||||
\(149\) | 5.11922 | + | 2.27922i | 0.419383 | + | 0.186721i | 0.605568 | − | 0.795793i | \(-0.292946\pi\) |
−0.186185 | + | 0.982515i | \(0.559613\pi\) | |||||||
\(150\) | −1.46520 | − | 5.77492i | −0.119633 | − | 0.471521i | ||||
\(151\) | 2.27427 | + | 0.738955i | 0.185077 | + | 0.0601353i | 0.400089 | − | 0.916476i | \(-0.368979\pi\) |
−0.215012 | + | 0.976611i | \(0.568979\pi\) | |||||||
\(152\) | −3.74774 | + | 12.0397i | −0.303982 | + | 0.976546i | ||||
\(153\) | 2.73426 | + | 1.57863i | 0.221052 | + | 0.127625i | ||||
\(154\) | −3.22395 | + | 12.9288i | −0.259793 | + | 1.04184i | ||||
\(155\) | 5.53496i | 0.444578i | ||||||||
\(156\) | −2.75690 | − | 1.18852i | −0.220729 | − | 0.0951574i | ||||
\(157\) | 1.96091 | − | 6.03506i | 0.156498 | − | 0.481650i | −0.841812 | − | 0.539771i | \(-0.818511\pi\) |
0.998310 | + | 0.0581207i | \(0.0185108\pi\) | |||||||
\(158\) | 11.8186 | + | 12.1379i | 0.940239 | + | 0.965637i | ||||
\(159\) | −3.95915 | + | 0.416123i | −0.313981 | + | 0.0330007i | ||||
\(160\) | −4.87964 | + | 21.4476i | −0.385769 | + | 1.69558i | ||||
\(161\) | −3.66082 | − | 11.2668i | −0.288513 | − | 0.887952i | ||||
\(162\) | 9.81130 | + | 3.91699i | 0.770849 | + | 0.307748i | ||||
\(163\) | 0.684443 | − | 6.51204i | 0.0536097 | − | 0.510062i | −0.934461 | − | 0.356064i | \(-0.884118\pi\) |
0.988071 | − | 0.153998i | \(-0.0492149\pi\) | |||||||
\(164\) | −5.45907 | − | 13.1969i | −0.426282 | − | 1.03051i | ||||
\(165\) | 2.33353 | + | 4.83539i | 0.181665 | + | 0.376434i | ||||
\(166\) | 6.67875 | + | 13.5512i | 0.518371 | + | 1.05178i | ||||
\(167\) | −3.73109 | − | 8.38017i | −0.288721 | − | 0.648477i | 0.709709 | − | 0.704495i | \(-0.248826\pi\) |
−0.998430 | + | 0.0560175i | \(0.982160\pi\) | |||||||
\(168\) | −2.91756 | − | 1.63662i | −0.225094 | − | 0.126268i | ||||
\(169\) | −0.360341 | + | 12.9950i | −0.0277186 | + | 0.999616i | ||||
\(170\) | 6.13736 | − | 0.239691i | 0.470714 | − | 0.0183835i | ||||
\(171\) | 12.5326 | − | 1.31723i | 0.958394 | − | 0.100731i | ||||
\(172\) | −4.48553 | − | 24.2655i | −0.342019 | − | 1.85023i | ||||
\(173\) | 2.10767 | + | 9.91579i | 0.160243 | + | 0.753883i | 0.982722 | + | 0.185088i | \(0.0592570\pi\) |
−0.822479 | + | 0.568795i | \(0.807410\pi\) | |||||||
\(174\) | −1.78809 | − | 4.85034i | −0.135555 | − | 0.367703i | ||||
\(175\) | −24.8955 | + | 14.3734i | −1.88193 | + | 1.08653i | ||||
\(176\) | 0.299178 | − | 13.2631i | 0.0225514 | − | 0.999746i | ||||
\(177\) | 0.696519i | 0.0523536i | ||||||||
\(178\) | −8.96500 | − | 7.45968i | −0.671955 | − | 0.559127i | ||||
\(179\) | 1.68522 | − | 1.51738i | 0.125959 | − | 0.113414i | −0.603744 | − | 0.797179i | \(-0.706325\pi\) |
0.729703 | + | 0.683764i | \(0.239658\pi\) | |||||||
\(180\) | 21.6159 | − | 3.99574i | 1.61115 | − | 0.297825i | ||||
\(181\) | −8.27335 | + | 6.01094i | −0.614953 | + | 0.446790i | −0.851155 | − | 0.524914i | \(-0.824097\pi\) |
0.236202 | + | 0.971704i | \(0.424097\pi\) | |||||||
\(182\) | −1.90519 | + | 14.3597i | −0.141222 | + | 1.06441i | ||||
\(183\) | 0.290036 | + | 0.892638i | 0.0214400 | + | 0.0659857i | ||||
\(184\) | 6.02348 | + | 10.1408i | 0.444057 | + | 0.747593i | ||||
\(185\) | 21.2303 | − | 9.45235i | 1.56088 | − | 0.694950i | ||||
\(186\) | 0.836302 | + | 0.0550118i | 0.0613206 | + | 0.00403366i | ||||
\(187\) | −3.59817 | + | 0.881246i | −0.263124 | + | 0.0644431i | ||||
\(188\) | −9.64493 | + | 12.5573i | −0.703429 | + | 0.915833i | ||||
\(189\) | −0.720340 | + | 6.85358i | −0.0523970 | + | 0.498525i | ||||
\(190\) | 19.2556 | − | 15.1725i | 1.39695 | − | 1.10073i | ||||
\(191\) | 6.90706 | + | 6.21914i | 0.499777 | + | 0.450002i | 0.880056 | − | 0.474871i | \(-0.157505\pi\) |
−0.380278 | + | 0.924872i | \(0.624172\pi\) | |||||||
\(192\) | 3.19212 | + | 0.950454i | 0.230372 | + | 0.0685931i | ||||
\(193\) | −2.23902 | − | 21.3029i | −0.161169 | − | 1.53342i | −0.714014 | − | 0.700132i | \(-0.753125\pi\) |
0.552845 | − | 0.833284i | \(-0.313542\pi\) | |||||||
\(194\) | 2.55943 | + | 0.722483i | 0.183756 | + | 0.0518713i | ||||
\(195\) | 3.11076 | + | 4.93869i | 0.222766 | + | 0.353667i | ||||
\(196\) | −0.500741 | + | 2.08142i | −0.0357672 | + | 0.148673i | ||||
\(197\) | 3.71381 | − | 6.43251i | 0.264598 | − | 0.458298i | −0.702860 | − | 0.711328i | \(-0.748094\pi\) |
0.967458 | + | 0.253031i | \(0.0814273\pi\) | |||||||
\(198\) | −12.2930 | + | 4.96626i | −0.873626 | + | 0.352936i | ||||
\(199\) | 13.4718 | − | 7.77792i | 0.954987 | − | 0.551362i | 0.0603606 | − | 0.998177i | \(-0.480775\pi\) |
0.894627 | + | 0.446814i | \(0.147442\pi\) | |||||||
\(200\) | 21.0309 | − | 19.4133i | 1.48711 | − | 1.37273i | ||||
\(201\) | −0.356199 | − | 1.67578i | −0.0251243 | − | 0.118201i | ||||
\(202\) | −2.40105 | − | 9.46350i | −0.168937 | − | 0.665850i | ||||
\(203\) | −20.1789 | + | 14.6609i | −1.41628 | + | 1.02899i | ||||
\(204\) | 0.0247830 | − | 0.929705i | 0.00173516 | − | 0.0650924i | ||||
\(205\) | −5.77278 | + | 27.1588i | −0.403189 | + | 1.89685i | ||||
\(206\) | −24.0881 | + | 3.48683i | −1.67830 | + | 0.242939i | ||||
\(207\) | 6.92855 | − | 9.53633i | 0.481568 | − | 0.662821i | ||||
\(208\) | −1.29506 | − | 14.3639i | −0.0897963 | − | 0.995960i | ||||
\(209\) | −9.55124 | + | 11.2871i | −0.660673 | + | 0.780742i | ||||
\(210\) | 2.87514 | + | 5.83367i | 0.198404 | + | 0.402562i | ||||
\(211\) | −5.89095 | + | 2.62282i | −0.405550 | + | 0.180562i | −0.599365 | − | 0.800476i | \(-0.704580\pi\) |
0.193816 | + | 0.981038i | \(0.437914\pi\) | |||||||
\(212\) | −10.8246 | − | 15.7658i | −0.743439 | − | 1.08280i | ||||
\(213\) | 2.47425 | − | 0.803932i | 0.169533 | − | 0.0550845i | ||||
\(214\) | −6.13717 | − | 9.73190i | −0.419529 | − | 0.665259i | ||||
\(215\) | −19.5134 | + | 43.8277i | −1.33080 | + | 2.98902i | ||||
\(216\) | −0.801638 | − | 6.81421i | −0.0545446 | − | 0.463649i | ||||
\(217\) | −0.840770 | − | 3.95551i | −0.0570752 | − | 0.268518i | ||||
\(218\) | 19.3925 | + | 3.33694i | 1.31342 | + | 0.226006i | ||||
\(219\) | 1.13842 | + | 0.657270i | 0.0769276 | + | 0.0444142i | ||||
\(220\) | −15.0747 | + | 20.9283i | −1.01634 | + | 1.41099i | ||||
\(221\) | −3.77938 | + | 1.39098i | −0.254229 | + | 0.0935673i | ||||
\(222\) | −1.21719 | − | 3.30173i | −0.0816925 | − | 0.221598i | ||||
\(223\) | 5.98178 | + | 6.64344i | 0.400569 | + | 0.444877i | 0.909358 | − | 0.416014i | \(-0.136573\pi\) |
−0.508789 | + | 0.860891i | \(0.669907\pi\) | |||||||
\(224\) | 0.229259 | − | 16.0686i | 0.0153180 | − | 1.07363i | ||||
\(225\) | −26.1306 | − | 11.6341i | −1.74204 | − | 0.775605i | ||||
\(226\) | −13.7033 | + | 0.535175i | −0.911531 | + | 0.0355993i | ||||
\(227\) | −1.12609 | − | 1.01393i | −0.0747410 | − | 0.0672971i | 0.630914 | − | 0.775853i | \(-0.282680\pi\) |
−0.705655 | + | 0.708556i | \(0.749347\pi\) | |||||||
\(228\) | −2.10111 | − | 3.06021i | −0.139149 | − | 0.202667i | ||||
\(229\) | −3.28902 | + | 4.52695i | −0.217345 | + | 0.299149i | −0.903742 | − | 0.428077i | \(-0.859191\pi\) |
0.686397 | + | 0.727227i | \(0.259191\pi\) | |||||||
\(230\) | 1.50516 | − | 22.8818i | 0.0992471 | − | 1.50878i | ||||
\(231\) | −2.40214 | − | 3.10110i | −0.158050 | − | 0.204038i | ||||
\(232\) | 16.3870 | − | 18.6592i | 1.07586 | − | 1.22504i | ||||
\(233\) | 4.81926 | − | 6.63314i | 0.315720 | − | 0.434551i | −0.621434 | − | 0.783466i | \(-0.713450\pi\) |
0.937154 | + | 0.348915i | \(0.113450\pi\) | |||||||
\(234\) | −12.6735 | + | 6.86466i | −0.828495 | + | 0.448757i | ||||
\(235\) | 29.2769 | − | 9.51265i | 1.90982 | − | 0.620537i | ||||
\(236\) | −2.94129 | + | 1.59520i | −0.191462 | + | 0.103839i | ||||
\(237\) | −4.95999 | + | 0.521316i | −0.322186 | + | 0.0338631i | ||||
\(238\) | −4.34961 | + | 1.10357i | −0.281943 | + | 0.0715339i | ||||
\(239\) | −13.3381 | − | 4.33382i | −0.862773 | − | 0.280332i | −0.155987 | − | 0.987759i | \(-0.549856\pi\) |
−0.706786 | + | 0.707427i | \(0.749856\pi\) | |||||||
\(240\) | −4.07028 | − | 5.03607i | −0.262736 | − | 0.325077i | ||||
\(241\) | −5.90951 | − | 10.2356i | −0.380665 | − | 0.659331i | 0.610493 | − | 0.792022i | \(-0.290971\pi\) |
−0.991157 | + | 0.132691i | \(0.957638\pi\) | |||||||
\(242\) | 6.38682 | − | 14.1848i | 0.410560 | − | 0.911833i | ||||
\(243\) | −8.99576 | + | 5.19370i | −0.577078 | + | 0.333176i | ||||
\(244\) | −3.10521 | + | 3.26913i | −0.198791 | + | 0.209285i | ||||
\(245\) | 3.09303 | − | 2.78498i | 0.197607 | − | 0.177926i | ||||
\(246\) | 4.04617 | + | 1.14217i | 0.257975 | + | 0.0728219i | ||||
\(247\) | −8.94054 | + | 13.3582i | −0.568873 | + | 0.849959i | ||||
\(248\) | 1.68303 | + | 3.65756i | 0.106872 | + | 0.232255i | ||||
\(249\) | −4.35031 | − | 0.924688i | −0.275690 | − | 0.0585997i | ||||
\(250\) | −27.8594 | + | 4.03273i | −1.76198 | + | 0.255052i | ||||
\(251\) | 7.93604 | + | 0.834112i | 0.500919 | + | 0.0526487i | 0.351619 | − | 0.936143i | \(-0.385631\pi\) |
0.149300 | + | 0.988792i | \(0.452298\pi\) | |||||||
\(252\) | −14.8407 | + | 6.13902i | −0.934873 | + | 0.386722i | ||||
\(253\) | 1.86789 | + | 13.7040i | 0.117433 | + | 0.861563i | ||||
\(254\) | −1.65333 | + | 25.1344i | −0.103739 | + | 1.57707i | ||||
\(255\) | −1.06280 | + | 1.46282i | −0.0665551 | + | 0.0916052i | ||||
\(256\) | 3.29712 | + | 15.6566i | 0.206070 | + | 0.978537i | ||||
\(257\) | 0.0332624 | + | 0.00707015i | 0.00207485 | + | 0.000441024i | 0.208949 | − | 0.977927i | \(-0.432996\pi\) |
−0.206874 | + | 0.978368i | \(0.566329\pi\) | |||||||
\(258\) | 6.42819 | + | 3.38396i | 0.400201 | + | 0.210676i | ||||
\(259\) | −13.7362 | + | 9.97997i | −0.853529 | + | 0.620125i | ||||
\(260\) | −13.7309 | + | 24.4470i | −0.851554 | + | 1.51614i | ||||
\(261\) | −23.6034 | − | 7.66921i | −1.46101 | − | 0.474712i | ||||
\(262\) | −31.1244 | − | 5.35569i | −1.92287 | − | 0.330876i | ||||
\(263\) | 0.562680 | − | 0.974591i | 0.0346963 | − | 0.0600958i | −0.848156 | − | 0.529747i | \(-0.822287\pi\) |
0.882852 | + | 0.469651i | \(0.155620\pi\) | |||||||
\(264\) | 3.01233 | + | 2.48571i | 0.185396 | + | 0.152985i | ||||
\(265\) | 37.1806i | 2.28399i | ||||||||
\(266\) | −11.4561 | + | 13.7679i | −0.702419 | + | 0.844163i | ||||
\(267\) | 3.35832 | − | 0.713834i | 0.205526 | − | 0.0436859i | ||||
\(268\) | 6.26078 | − | 5.34212i | 0.382438 | − | 0.326322i | ||||
\(269\) | −14.1871 | − | 6.31650i | −0.865002 | − | 0.385124i | −0.0742346 | − | 0.997241i | \(-0.523651\pi\) |
−0.790767 | + | 0.612117i | \(0.790318\pi\) | |||||||
\(270\) | −6.21376 | + | 11.8037i | −0.378157 | + | 0.718349i | ||||
\(271\) | 2.33837 | − | 11.0012i | 0.142046 | − | 0.668273i | −0.848284 | − | 0.529541i | \(-0.822364\pi\) |
0.990330 | − | 0.138732i | \(-0.0443026\pi\) | |||||||
\(272\) | 3.98275 | − | 2.02459i | 0.241490 | − | 0.122759i | ||||
\(273\) | −2.97328 | − | 3.05687i | −0.179951 | − | 0.185010i | ||||
\(274\) | −11.8514 | + | 17.7279i | −0.715970 | + | 1.07098i | ||||
\(275\) | 31.5848 | − | 11.3474i | 1.90464 | − | 0.684274i | ||||
\(276\) | −3.44235 | − | 0.454842i | −0.207205 | − | 0.0273783i | ||||
\(277\) | −25.0646 | − | 2.63439i | −1.50598 | − | 0.158285i | −0.684709 | − | 0.728817i | \(-0.740071\pi\) |
−0.821276 | + | 0.570531i | \(0.806737\pi\) | |||||||
\(278\) | −6.52349 | + | 5.14021i | −0.391253 | + | 0.308290i | ||||
\(279\) | 2.69238 | − | 2.99020i | 0.161189 | − | 0.179018i | ||||
\(280\) | −18.0499 | + | 25.5018i | −1.07869 | + | 1.52402i | ||||
\(281\) | 0.349248 | − | 0.253744i | 0.0208344 | − | 0.0151371i | −0.577319 | − | 0.816518i | \(-0.695901\pi\) |
0.598154 | + | 0.801381i | \(0.295901\pi\) | |||||||
\(282\) | −1.14633 | − | 4.51813i | −0.0682628 | − | 0.269051i | ||||
\(283\) | −0.797813 | − | 0.886061i | −0.0474250 | − | 0.0526709i | 0.718966 | − | 0.695046i | \(-0.244616\pi\) |
−0.766391 | + | 0.642375i | \(0.777949\pi\) | |||||||
\(284\) | 9.06151 | + | 8.60716i | 0.537702 | + | 0.510741i | ||||
\(285\) | 7.21690i | 0.427492i | ||||||||
\(286\) | 5.16864 | − | 16.1023i | 0.305628 | − | 0.952151i | ||||
\(287\) | − | 20.2857i | − | 1.19743i | ||||||
\(288\) | 13.0690 | − | 9.21322i | 0.770098 | − | 0.542894i | ||||
\(289\) | 10.5404 | + | 11.7063i | 0.620025 | + | 0.688608i | ||||
\(290\) | −46.7977 | + | 11.8734i | −2.74806 | + | 0.697229i | ||||
\(291\) | −0.633386 | + | 0.460182i | −0.0371297 | + | 0.0269763i | ||||
\(292\) | −0.168277 | + | 6.31269i | −0.00984764 | + | 0.369422i | ||||
\(293\) | −3.73129 | + | 4.14402i | −0.217984 | + | 0.242096i | −0.842212 | − | 0.539146i | \(-0.818747\pi\) |
0.624228 | + | 0.781242i | \(0.285414\pi\) | |||||||
\(294\) | −0.390054 | − | 0.495021i | −0.0227484 | − | 0.0288702i | ||||
\(295\) | 6.46958 | + | 0.679980i | 0.376673 | + | 0.0395900i | ||||
\(296\) | 11.1550 | − | 12.7018i | 0.648373 | − | 0.738275i | ||||
\(297\) | 2.24978 | − | 7.72452i | 0.130545 | − | 0.448222i | ||||
\(298\) | −6.58820 | − | 4.40434i | −0.381644 | − | 0.255136i | ||||
\(299\) | 3.68982 | + | 14.5758i | 0.213388 | + | 0.842940i | ||||
\(300\) | 0.657123 | + | 8.40008i | 0.0379390 | + | 0.484979i | ||||
\(301\) | 7.28755 | − | 34.2852i | 0.420048 | − | 1.97617i | ||||
\(302\) | −2.99250 | − | 1.57533i | −0.172199 | − | 0.0906500i | ||||
\(303\) | 2.62572 | + | 1.16905i | 0.150844 | + | 0.0671600i | ||||
\(304\) | 8.11074 | − | 15.8813i | 0.465183 | − | 0.910853i | ||||
\(305\) | 8.57436 | − | 1.82254i | 0.490967 | − | 0.104358i | ||||
\(306\) | −3.43223 | − | 2.85592i | −0.196208 | − | 0.163262i | ||||
\(307\) | − | 12.2040i | − | 0.696517i | −0.937399 | − | 0.348258i | \(-0.886773\pi\) | ||
0.937399 | − | 0.348258i | \(-0.113227\pi\) | |||||||
\(308\) | 7.59396 | − | 17.2461i | 0.432706 | − | 0.982690i | ||||
\(309\) | 3.58258 | − | 6.20522i | 0.203806 | − | 0.353002i | ||||
\(310\) | 1.32742 | − | 7.71424i | 0.0753922 | − | 0.438139i | ||||
\(311\) | −17.1208 | − | 5.56289i | −0.970833 | − | 0.315443i | −0.219681 | − | 0.975572i | \(-0.570502\pi\) |
−0.751152 | + | 0.660129i | \(0.770502\pi\) | |||||||
\(312\) | 3.55734 | + | 2.31764i | 0.201395 | + | 0.131211i | ||||
\(313\) | 4.19549 | − | 3.04820i | 0.237143 | − | 0.172295i | −0.462866 | − | 0.886428i | \(-0.653179\pi\) |
0.700010 | + | 0.714133i | \(0.253179\pi\) | |||||||
\(314\) | −4.18034 | + | 7.94098i | −0.235910 | + | 0.448135i | ||||
\(315\) | 30.5415 | + | 6.49180i | 1.72082 | + | 0.365772i | ||||
\(316\) | −13.5610 | − | 19.7513i | −0.762867 | − | 1.11110i | ||||
\(317\) | 4.35198 | − | 5.98998i | 0.244431 | − | 0.336431i | −0.669120 | − | 0.743154i | \(-0.733329\pi\) |
0.913551 | + | 0.406723i | \(0.133329\pi\) | |||||||
\(318\) | 5.61778 | + | 0.369537i | 0.315030 | + | 0.0207226i | ||||
\(319\) | 26.2256 | − | 12.6563i | 1.46835 | − | 0.708619i | ||||
\(320\) | 11.9446 | − | 28.7220i | 0.667722 | − | 1.60561i | ||||
\(321\) | 3.36850 | + | 0.354044i | 0.188012 | + | 0.0197608i | ||||
\(322\) | 2.40013 | + | 16.5809i | 0.133754 | + | 0.924017i | ||||
\(323\) | −4.87070 | − | 1.03530i | −0.271013 | − | 0.0576056i | ||||
\(324\) | −12.7349 | − | 7.81221i | −0.707495 | − | 0.434012i | ||||
\(325\) | 32.7349 | − | 16.1117i | 1.81580 | − | 0.893716i | ||||
\(326\) | −2.51567 | + | 8.91188i | −0.139330 | + | 0.493583i | ||||
\(327\) | −4.30490 | + | 3.87615i | −0.238061 | + | 0.214351i | ||||
\(328\) | 4.44353 | + | 19.7022i | 0.245353 | + | 1.08787i | ||||
\(329\) | −19.4775 | + | 11.2454i | −1.07383 | + | 0.619977i | ||||
\(330\) | −2.09267 | − | 7.29886i | −0.115198 | − | 0.401789i | ||||
\(331\) | 14.9769 | + | 25.9408i | 0.823206 | + | 1.42583i | 0.903283 | + | 0.429046i | \(0.141150\pi\) |
−0.0800771 | + | 0.996789i | \(0.525517\pi\) | |||||||
\(332\) | −6.05846 | − | 20.4884i | −0.332501 | − | 1.12445i | ||||
\(333\) | −16.0674 | − | 5.22060i | −0.880486 | − | 0.286087i | ||||
\(334\) | 3.19037 | + | 12.5745i | 0.174569 | + | 0.688047i | ||||
\(335\) | −15.9132 | + | 1.67254i | −0.869428 | + | 0.0913806i | ||||
\(336\) | 3.67379 | + | 2.98070i | 0.200421 | + | 0.162611i | ||||
\(337\) | 17.9368 | − | 5.82802i | 0.977081 | − | 0.317473i | 0.223410 | − | 0.974725i | \(-0.428281\pi\) |
0.753671 | + | 0.657252i | \(0.228281\pi\) | |||||||
\(338\) | 3.61874 | − | 18.0251i | 0.196833 | − | 0.980437i | ||||
\(339\) | 2.37299 | − | 3.26613i | 0.128883 | − | 0.177392i | ||||
\(340\) | −8.61132 | − | 1.13782i | −0.467014 | − | 0.0617072i | ||||
\(341\) | 0.145142 | + | 4.71891i | 0.00785988 | + | 0.255543i | ||||
\(342\) | −17.7830 | − | 1.16976i | −0.961595 | − | 0.0632535i | ||||
\(343\) | 9.90128 | − | 13.6279i | 0.534619 | − | 0.735840i | ||||
\(344\) | 0.432167 | + | 34.8953i | 0.0233009 | + | 1.88143i | ||||
\(345\) | 5.01672 | + | 4.51708i | 0.270091 | + | 0.243191i | ||||
\(346\) | −0.559471 | − | 14.3254i | −0.0300773 | − | 0.770138i | ||||
\(347\) | −4.90204 | − | 2.18253i | −0.263155 | − | 0.117164i | 0.270918 | − | 0.962602i | \(-0.412673\pi\) |
−0.534073 | + | 0.845438i | \(0.679339\pi\) | |||||||
\(348\) | 1.32888 | + | 7.18889i | 0.0712356 | + | 0.385365i | ||||
\(349\) | 20.6144 | + | 22.8946i | 1.10346 | + | 1.22552i | 0.972195 | + | 0.234173i | \(0.0752383\pi\) |
0.131268 | + | 0.991347i | \(0.458095\pi\) | |||||||
\(350\) | 38.1448 | − | 14.0622i | 2.03892 | − | 0.751654i | ||||
\(351\) | 1.48784 | − | 8.61888i | 0.0794149 | − | 0.460042i | ||||
\(352\) | −3.59779 | + | 18.4135i | −0.191763 | + | 0.981441i | ||||
\(353\) | −27.4304 | − | 15.8370i | −1.45997 | − | 0.842917i | −0.460965 | − | 0.887418i | \(-0.652497\pi\) |
−0.999009 | + | 0.0445018i | \(0.985830\pi\) | |||||||
\(354\) | 0.167042 | − | 0.970760i | 0.00887820 | − | 0.0515953i | ||||
\(355\) | −5.05178 | − | 23.7668i | −0.268121 | − | 1.26141i | ||||
\(356\) | 10.7058 | + | 12.5468i | 0.567405 | + | 0.664979i | ||||
\(357\) | 0.537317 | − | 1.20683i | 0.0284378 | − | 0.0638724i | ||||
\(358\) | −2.71265 | + | 1.71066i | −0.143368 | + | 0.0904113i | ||||
\(359\) | −5.29054 | + | 1.71900i | −0.279224 | + | 0.0907254i | −0.445281 | − | 0.895391i | \(-0.646896\pi\) |
0.166057 | + | 0.986116i | \(0.446896\pi\) | |||||||
\(360\) | −31.0850 | + | 0.384977i | −1.63832 | + | 0.0202901i | ||||
\(361\) | −0.799264 | + | 0.355855i | −0.0420665 | + | 0.0187292i | ||||
\(362\) | 12.9724 | − | 6.39348i | 0.681814 | − | 0.336034i | ||||
\(363\) | 2.11629 | + | 4.06129i | 0.111076 | + | 0.213162i | ||||
\(364\) | 6.09913 | − | 19.5566i | 0.319681 | − | 1.02505i | ||||
\(365\) | 7.21640 | − | 9.93253i | 0.377724 | − | 0.519892i | ||||
\(366\) | −0.190155 | − | 1.31365i | −0.00993957 | − | 0.0686658i | ||||
\(367\) | −1.29360 | + | 6.08593i | −0.0675256 | + | 0.317683i | −0.998927 | − | 0.0463105i | \(-0.985254\pi\) |
0.931401 | + | 0.363994i | \(0.118587\pi\) | |||||||
\(368\) | −5.96309 | − | 15.5782i | −0.310847 | − | 0.812069i | ||||
\(369\) | 16.3296 | − | 11.8642i | 0.850086 | − | 0.617623i | ||||
\(370\) | −31.8562 | + | 8.08247i | −1.65613 | + | 0.420188i | ||||
\(371\) | −5.64780 | − | 26.5708i | −0.293219 | − | 1.37949i | ||||
\(372\) | −1.15239 | − | 0.277237i | −0.0597485 | − | 0.0143741i | ||||
\(373\) | 0.994424 | − | 0.574131i | 0.0514893 | − | 0.0297274i | −0.474034 | − | 0.880506i | \(-0.657203\pi\) |
0.525524 | + | 0.850779i | \(0.323869\pi\) | |||||||
\(374\) | 5.22622 | − | 0.365291i | 0.270241 | − | 0.0188888i | ||||
\(375\) | 4.14347 | − | 7.17671i | 0.213968 | − | 0.370604i | ||||
\(376\) | 16.4540 | − | 15.1884i | 0.848549 | − | 0.783280i | ||||
\(377\) | 26.7859 | − | 16.8718i | 1.37954 | − | 0.868941i | ||||
\(378\) | 2.64761 | − | 9.37929i | 0.136179 | − | 0.482418i | ||||
\(379\) | 2.66055 | + | 25.3134i | 0.136663 | + | 1.30026i | 0.820929 | + | 0.571030i | \(0.193456\pi\) |
−0.684266 | + | 0.729232i | \(0.739877\pi\) | |||||||
\(380\) | −30.4758 | + | 16.5285i | −1.56338 | + | 0.847892i | ||||
\(381\) | −5.51060 | − | 4.96176i | −0.282316 | − | 0.254199i | ||||
\(382\) | −8.13508 | − | 10.3243i | −0.416227 | − | 0.528237i | ||||
\(383\) | 0.188655 | − | 1.79493i | 0.00963983 | − | 0.0917169i | −0.988644 | − | 0.150276i | \(-0.951984\pi\) |
0.998284 | + | 0.0585588i | \(0.0186505\pi\) | |||||||
\(384\) | −4.22102 | − | 2.09023i | −0.215403 | − | 0.106666i | ||||
\(385\) | −31.1495 | + | 19.2847i | −1.58753 | + | 0.982840i | ||||
\(386\) | −1.98836 | + | 30.2275i | −0.101205 | + | 1.53854i | ||||
\(387\) | 31.8611 | − | 14.1855i | 1.61959 | − | 0.721088i | ||||
\(388\) | −3.39388 | − | 1.62076i | −0.172298 | − | 0.0822816i | ||||
\(389\) | 4.09589 | + | 12.6058i | 0.207670 | + | 0.639142i | 0.999593 | + | 0.0285214i | \(0.00907989\pi\) |
−0.791923 | + | 0.610620i | \(0.790920\pi\) | |||||||
\(390\) | −3.15114 | − | 7.62924i | −0.159564 | − | 0.386321i | ||||
\(391\) | −3.76826 | + | 2.73780i | −0.190569 | + | 0.138456i | ||||
\(392\) | 1.19707 | − | 2.78085i | 0.0604614 | − | 0.140454i | ||||
\(393\) | 6.90925 | − | 6.22111i | 0.348525 | − | 0.313814i | ||||
\(394\) | −6.71873 | + | 8.07453i | −0.338485 | + | 0.406789i | ||||
\(395\) | 46.5795i | 2.34367i | ||||||||
\(396\) | 18.3242 | − | 3.97346i | 0.920824 | − | 0.199674i | ||||
\(397\) | −9.11033 | + | 5.25985i | −0.457235 | + | 0.263985i | −0.710881 | − | 0.703313i | \(-0.751703\pi\) |
0.253646 | + | 0.967297i | \(0.418370\pi\) | |||||||
\(398\) | −20.6413 | + | 7.60947i | −1.03466 | + | 0.381428i | ||||
\(399\) | −1.09626 | − | 5.15750i | −0.0548817 | − | 0.258198i | ||||
\(400\) | −33.9672 | + | 22.0131i | −1.69836 | + | 1.10066i | ||||
\(401\) | −9.90804 | + | 1.04138i | −0.494784 | + | 0.0520039i | −0.348635 | − | 0.937259i | \(-0.613355\pi\) |
−0.146149 | + | 0.989263i | \(0.546688\pi\) | |||||||
\(402\) | 0.0945514 | + | 2.42101i | 0.00471579 | + | 0.120749i | ||||
\(403\) | 0.732548 | + | 5.07988i | 0.0364908 | + | 0.253047i | ||||
\(404\) | 1.07684 | + | 13.7654i | 0.0535749 | + | 0.684854i | ||||
\(405\) | 11.8141 | + | 26.5350i | 0.587050 | + | 1.31854i | ||||
\(406\) | 31.6400 | − | 15.5939i | 1.57027 | − | 0.773911i | ||||
\(407\) | 17.8524 | − | 8.61546i | 0.884909 | − | 0.427052i | ||||
\(408\) | −0.257507 | + | 1.28981i | −0.0127485 | + | 0.0638553i | ||||
\(409\) | −1.81017 | + | 17.2227i | −0.0895073 | + | 0.851605i | 0.854004 | + | 0.520266i | \(0.174167\pi\) |
−0.943512 | + | 0.331339i | \(0.892499\pi\) | |||||||
\(410\) | 14.5590 | − | 36.4676i | 0.719020 | − | 1.80101i | ||||
\(411\) | −1.93991 | − | 5.97042i | −0.0956885 | − | 0.294499i | ||||
\(412\) | 34.4086 | + | 0.917226i | 1.69519 | + | 0.0451885i | ||||
\(413\) | −4.72672 | + | 0.496799i | −0.232587 | + | 0.0244459i | ||||
\(414\) | −11.9436 | + | 11.6294i | −0.586995 | + | 0.571556i | ||||
\(415\) | −12.8359 | + | 39.5049i | −0.630091 | + | 1.93922i | ||||
\(416\) | −1.63986 | + | 20.3300i | −0.0804006 | + | 0.996763i | ||||
\(417\) | − | 2.44497i | − | 0.119731i | ||||||
\(418\) | 16.0188 | − | 13.4405i | 0.783503 | − | 0.657396i | ||||
\(419\) | −13.1565 | − | 7.59589i | −0.642736 | − | 0.371084i | 0.142932 | − | 0.989733i | \(-0.454347\pi\) |
−0.785668 | + | 0.618649i | \(0.787680\pi\) | |||||||
\(420\) | −2.60812 | − | 8.82010i | −0.127263 | − | 0.430377i | ||||
\(421\) | −16.5279 | − | 5.37023i | −0.805519 | − | 0.261729i | −0.122820 | − | 0.992429i | \(-0.539194\pi\) |
−0.682699 | + | 0.730700i | \(0.739194\pi\) | |||||||
\(422\) | 8.83941 | − | 2.24271i | 0.430296 | − | 0.109173i | ||||
\(423\) | −20.4438 | − | 9.10216i | −0.994010 | − | 0.442562i | ||||
\(424\) | 11.3056 | + | 24.5693i | 0.549048 | + | 1.19319i | ||||
\(425\) | 8.39946 | + | 7.56290i | 0.407433 | + | 0.366855i | ||||
\(426\) | −3.64124 | + | 0.527080i | −0.176419 | + | 0.0255371i | ||||
\(427\) | −5.85075 | + | 2.60492i | −0.283138 | + | 0.126061i | ||||
\(428\) | 6.21962 | + | 15.0355i | 0.300637 | + | 0.726768i | ||||
\(429\) | 2.78163 | + | 4.12898i | 0.134298 | + | 0.199349i | ||||
\(430\) | 37.7073 | − | 56.4042i | 1.81841 | − | 2.72005i | ||||
\(431\) | −11.5486 | − | 25.9385i | −0.556274 | − | 1.24941i | −0.944701 | − | 0.327933i | \(-0.893648\pi\) |
0.388427 | − | 0.921480i | \(-0.373019\pi\) | |||||||
\(432\) | −0.516947 | + | 9.68943i | −0.0248716 | + | 0.466183i | ||||
\(433\) | −1.12442 | + | 1.24880i | −0.0540362 | + | 0.0600133i | −0.769557 | − | 0.638578i | \(-0.779523\pi\) |
0.715521 | + | 0.698592i | \(0.246190\pi\) | |||||||
\(434\) | 0.223179 | + | 5.71456i | 0.0107129 | + | 0.274307i | ||||
\(435\) | 5.78102 | − | 12.9844i | 0.277179 | − | 0.622553i | ||||
\(436\) | −26.2276 | − | 9.30158i | −1.25607 | − | 0.445465i | ||||
\(437\) | −5.74491 | + | 17.6810i | −0.274816 | + | 0.845798i | ||||
\(438\) | −1.42903 | − | 1.18908i | −0.0682816 | − | 0.0568164i | ||||
\(439\) | −10.6368 | + | 18.4235i | −0.507667 | + | 0.879304i | 0.492294 | + | 0.870429i | \(0.336159\pi\) |
−0.999961 | + | 0.00887543i | \(0.997175\pi\) | |||||||
\(440\) | 26.0292 | − | 25.5532i | 1.24089 | − | 1.21820i | ||||
\(441\) | −3.02568 | −0.144080 | ||||||||
\(442\) | 5.60103 | − | 1.03226i | 0.266414 | − | 0.0490996i | ||||
\(443\) | 3.81202 | + | 1.23860i | 0.181114 | + | 0.0588477i | 0.398170 | − | 0.917312i | \(-0.369645\pi\) |
−0.217056 | + | 0.976159i | \(0.569645\pi\) | |||||||
\(444\) | 0.904600 | + | 4.89364i | 0.0429304 | + | 0.232242i | ||||
\(445\) | −3.35182 | − | 31.8905i | −0.158892 | − | 1.51175i | ||||
\(446\) | −6.74373 | − | 10.6937i | −0.319325 | − | 0.506363i | ||||
\(447\) | 2.21878 | − | 0.720926i | 0.104945 | − | 0.0340986i | ||||
\(448\) | −4.17317 | + | 22.3403i | −0.197164 | + | 1.05548i | ||||
\(449\) | −12.8729 | − | 1.35300i | −0.607512 | − | 0.0638520i | −0.204222 | − | 0.978925i | \(-0.565467\pi\) |
−0.403289 | + | 0.915073i | \(0.632133\pi\) | |||||||
\(450\) | 33.6288 | + | 22.4815i | 1.58528 | + | 1.05979i | ||||
\(451\) | −4.20949 | + | 23.3060i | −0.198217 | + | 1.09744i | ||||
\(452\) | 19.2271 | + | 2.54050i | 0.904365 | + | 0.119495i | ||||
\(453\) | 0.909495 | − | 0.404933i | 0.0427318 | − | 0.0190254i | ||||
\(454\) | 1.32629 | + | 1.68321i | 0.0622461 | + | 0.0789970i | ||||
\(455\) | −31.2962 | + | 24.6328i | −1.46719 | + | 1.15480i | ||||
\(456\) | 2.19446 | + | 4.76901i | 0.102765 | + | 0.223329i | ||||
\(457\) | 0.0618803 | + | 0.588752i | 0.00289464 | + | 0.0275407i | 0.995874 | − | 0.0907481i | \(-0.0289258\pi\) |
−0.992979 | + | 0.118289i | \(0.962259\pi\) | |||||||
\(458\) | 5.66968 | − | 5.52056i | 0.264927 | − | 0.257959i | ||||
\(459\) | 2.65030 | − | 0.563338i | 0.123705 | − | 0.0262943i | ||||
\(460\) | −7.58538 | + | 31.5300i | −0.353670 | + | 1.47009i | ||||
\(461\) | 1.76195 | + | 3.05178i | 0.0820621 | + | 0.142136i | 0.904136 | − | 0.427246i | \(-0.140516\pi\) |
−0.822073 | + | 0.569381i | \(0.807183\pi\) | |||||||
\(462\) | 2.60422 | + | 4.89819i | 0.121159 | + | 0.227885i | ||||
\(463\) | −32.0906 | −1.49137 | −0.745687 | − | 0.666296i | \(-0.767879\pi\) | ||||
−0.745687 | + | 0.666296i | \(0.767879\pi\) | |||||||
\(464\) | −27.3141 | + | 22.0759i | −1.26802 | + | 1.02485i | ||||
\(465\) | 1.54191 | + | 1.71247i | 0.0715045 | + | 0.0794138i | ||||
\(466\) | −8.30753 | + | 8.08903i | −0.384839 | + | 0.374717i | ||||
\(467\) | −4.09052 | − | 5.63012i | −0.189287 | − | 0.260531i | 0.703817 | − | 0.710381i | \(-0.251477\pi\) |
−0.893104 | + | 0.449850i | \(0.851477\pi\) | |||||||
\(468\) | 19.3098 | − | 6.52806i | 0.892596 | − | 0.301760i | ||||
\(469\) | 11.1181 | − | 3.61251i | 0.513388 | − | 0.166810i | ||||
\(470\) | −43.0855 | + | 6.23675i | −1.98739 | + | 0.287680i | ||||
\(471\) | −1.07454 | − | 2.41346i | −0.0495123 | − | 0.111206i | ||||
\(472\) | 4.48193 | − | 1.51788i | 0.206298 | − | 0.0698662i | ||||
\(473\) | −15.4871 | + | 37.8777i | −0.712099 | + | 1.74162i | ||||
\(474\) | 7.03792 | + | 0.462953i | 0.323262 | + | 0.0212641i | ||||
\(475\) | 44.8652 | + | 4.71553i | 2.05856 | + | 0.216363i | ||||
\(476\) | 6.32685 | − | 0.494938i | 0.289991 | − | 0.0226854i | ||||
\(477\) | 18.0859 | − | 20.0864i | 0.828094 | − | 0.919692i | ||||
\(478\) | 17.5504 | + | 9.23899i | 0.802737 | + | 0.422582i | ||||
\(479\) | 21.2123 | − | 2.22951i | 0.969216 | − | 0.101869i | 0.393329 | − | 0.919398i | \(-0.371323\pi\) |
0.575887 | + | 0.817529i | \(0.304657\pi\) | |||||||
\(480\) | 4.46511 | + | 7.99507i | 0.203803 | + | 0.364924i | ||||
\(481\) | 18.2338 | − | 11.4850i | 0.831388 | − | 0.523671i | ||||
\(482\) | 5.78152 | + | 15.6829i | 0.263341 | + | 0.714335i | ||||
\(483\) | −4.27131 | − | 2.46604i | −0.194352 | − | 0.112209i | ||||
\(484\) | −12.3034 | + | 18.2381i | −0.559244 | + | 0.829003i | ||||
\(485\) | 3.65603 | + | 6.33242i | 0.166012 | + | 0.287541i | ||||
\(486\) | 13.7832 | − | 5.08122i | 0.625220 | − | 0.230489i | ||||
\(487\) | −20.8752 | + | 4.43715i | −0.945944 | + | 0.201067i | −0.654962 | − | 0.755662i | \(-0.727315\pi\) |
−0.290982 | + | 0.956729i | \(0.593982\pi\) | |||||||
\(488\) | 5.11185 | − | 3.81158i | 0.231402 | − | 0.172542i | ||||
\(489\) | −1.60235 | − | 2.20544i | −0.0724606 | − | 0.0997334i | ||||
\(490\) | −4.97876 | + | 3.13973i | −0.224918 | + | 0.141838i | ||||
\(491\) | −16.7237 | − | 3.55474i | −0.754731 | − | 0.160423i | −0.185550 | − | 0.982635i | \(-0.559407\pi\) |
−0.569182 | + | 0.822212i | \(0.692740\pi\) | |||||||
\(492\) | −5.36535 | − | 2.56224i | −0.241889 | − | 0.115515i | ||||
\(493\) | 7.93387 | + | 5.76429i | 0.357323 | + | 0.259611i | ||||
\(494\) | 15.6643 | − | 16.4735i | 0.704771 | − | 0.741178i | ||||
\(495\) | −33.7417 | − | 13.7960i | −1.51658 | − | 0.620086i | ||||
\(496\) | −1.46852 | − | 5.50128i | −0.0659383 | − | 0.247015i | ||||
\(497\) | 7.22043 | + | 16.2174i | 0.323881 | + | 0.727448i | ||||
\(498\) | 5.84140 | + | 2.33208i | 0.261760 | + | 0.104503i | ||||
\(499\) | −1.86427 | − | 5.73762i | −0.0834560 | − | 0.256851i | 0.900618 | − | 0.434612i | \(-0.143115\pi\) |
−0.984074 | + | 0.177761i | \(0.943115\pi\) | |||||||
\(500\) | 39.7956 | + | 1.06083i | 1.77971 | + | 0.0474416i | ||||
\(501\) | −3.48890 | − | 1.55336i | −0.155872 | − | 0.0693988i | ||||
\(502\) | −10.8607 | − | 3.06578i | −0.484735 | − | 0.136833i | ||||
\(503\) | 35.7488 | − | 7.59865i | 1.59396 | − | 0.338807i | 0.676441 | − | 0.736497i | \(-0.263521\pi\) |
0.917520 | + | 0.397690i | \(0.130188\pi\) | |||||||
\(504\) | 22.1562 | − | 4.99699i | 0.986913 | − | 0.222583i | ||||
\(505\) | 13.4220 | − | 23.2476i | 0.597271 | − | 1.03450i | ||||
\(506\) | 0.683221 | − | 19.5477i | 0.0303729 | − | 0.868999i | ||||
\(507\) | 3.50863 | + | 4.12093i | 0.155824 | + | 0.183017i | ||||
\(508\) | 8.33213 | − | 34.6340i | 0.369678 | − | 1.53664i | ||||
\(509\) | −19.4399 | + | 17.5038i | −0.861659 | + | 0.775841i | −0.976039 | − | 0.217596i | \(-0.930178\pi\) |
0.114380 | + | 0.993437i | \(0.463512\pi\) | |||||||
\(510\) | 1.83208 | − | 1.78389i | 0.0811257 | − | 0.0789919i | ||||
\(511\) | −3.64838 | + | 8.19439i | −0.161395 | + | 0.362498i | ||||
\(512\) | −0.840464 | − | 22.6118i | −0.0371436 | − | 0.999310i | ||||
\(513\) | 7.23634 | − | 8.03677i | 0.319492 | − | 0.354832i | ||||
\(514\) | −0.0446633 | − | 0.0178310i | −0.00197001 | − | 0.000786493i | ||||
\(515\) | −54.1393 | − | 39.3345i | −2.38566 | − | 1.73328i | ||||
\(516\) | −8.14760 | − | 6.25797i | −0.358678 | − | 0.275492i | ||||
\(517\) | 24.7110 | − | 8.87787i | 1.08679 | − | 0.390448i | ||||
\(518\) | 21.5381 | − | 10.6151i | 0.946328 | − | 0.466401i | ||||
\(519\) | 3.41441 | + | 2.48071i | 0.149876 | + | 0.108891i | ||||
\(520\) | 25.0002 | − | 30.7796i | 1.09633 | − | 1.34977i | ||||
\(521\) | 1.54190 | + | 4.74549i | 0.0675520 | + | 0.207904i | 0.979134 | − | 0.203214i | \(-0.0651386\pi\) |
−0.911582 | + | 0.411117i | \(0.865139\pi\) | |||||||
\(522\) | 31.0575 | + | 16.3495i | 1.35935 | + | 0.715597i | ||||
\(523\) | −2.39273 | − | 22.7653i | −0.104627 | − | 0.995457i | −0.913325 | − | 0.407232i | \(-0.866494\pi\) |
0.808698 | − | 0.588224i | \(-0.200173\pi\) | |||||||
\(524\) | 42.0946 | + | 14.9288i | 1.83891 | + | 0.652167i | ||||
\(525\) | −3.69835 | + | 11.3824i | −0.161409 | + | 0.496767i | ||||
\(526\) | −1.01796 | + | 1.22337i | −0.0443849 | + | 0.0533416i | ||||
\(527\) | −1.37694 | + | 0.794978i | −0.0599806 | + | 0.0346298i | ||||
\(528\) | −3.60224 | − | 4.18684i | −0.156767 | − | 0.182209i | ||||
\(529\) | −2.80506 | − | 4.85850i | −0.121959 | − | 0.211239i | ||||
\(530\) | 8.91681 | − | 51.8197i | 0.387321 | − | 2.25090i | ||||
\(531\) | −3.16435 | − | 3.51437i | −0.137321 | − | 0.152511i | ||||
\(532\) | 19.2686 | − | 16.4413i | 0.835400 | − | 0.712819i | ||||
\(533\) | −1.70370 | + | 25.6899i | −0.0737953 | + | 1.11275i | ||||
\(534\) | −4.85179 | + | 0.189484i | −0.209958 | + | 0.00819977i | ||||
\(535\) | 6.57703 | − | 30.9425i | 0.284350 | − | 1.33776i | ||||
\(536\) | −10.0070 | + | 5.94398i | −0.432237 | + | 0.256741i | ||||
\(537\) | 0.0986854 | − | 0.938929i | 0.00425859 | − | 0.0405178i | ||||
\(538\) | 18.2581 | + | 12.2059i | 0.787163 | + | 0.526234i | ||||
\(539\) | 2.56398 | − | 2.45549i | 0.110439 | − | 0.105765i | ||||
\(540\) | 11.4911 | − | 14.9609i | 0.494499 | − | 0.643816i | ||||
\(541\) | 16.9409 | + | 12.3083i | 0.728346 | + | 0.529174i | 0.889040 | − | 0.457830i | \(-0.151373\pi\) |
−0.160694 | + | 0.987004i | \(0.551373\pi\) | |||||||
\(542\) | −5.89740 | + | 14.7719i | −0.253315 | + | 0.634506i | ||||
\(543\) | −0.885192 | + | 4.16450i | −0.0379872 | + | 0.178716i | ||||
\(544\) | −6.03643 | + | 1.86658i | −0.258810 | + | 0.0800289i | ||||
\(545\) | 31.8007 | + | 43.7699i | 1.36219 | + | 1.87490i | ||||
\(546\) | 3.41083 | + | 4.97351i | 0.145970 | + | 0.212847i | ||||
\(547\) | 5.48828 | − | 16.8912i | 0.234662 | − | 0.722214i | −0.762504 | − | 0.646983i | \(-0.776030\pi\) |
0.997166 | − | 0.0752314i | \(-0.0239696\pi\) | |||||||
\(548\) | 20.7693 | − | 21.8656i | 0.887218 | − | 0.934052i | ||||
\(549\) | −5.51874 | − | 3.18625i | −0.235534 | − | 0.135986i | ||||
\(550\) | −46.7421 | + | 8.24041i | −1.99309 | + | 0.351372i | ||||
\(551\) | 39.1422 | 1.66751 | ||||||||
\(552\) | 4.68862 | + | 1.45949i | 0.199561 | + | 0.0621199i | ||||
\(553\) | −7.07552 | − | 33.2877i | −0.300882 | − | 1.41554i | ||||
\(554\) | 34.3015 | + | 9.68273i | 1.45733 | + | 0.411380i | ||||
\(555\) | 3.93527 | − | 8.83876i | 0.167043 | − | 0.375184i | ||||
\(556\) | 10.3247 | − | 5.59958i | 0.437866 | − | 0.237475i | ||||
\(557\) | −4.49230 | − | 0.954867i | −0.190345 | − | 0.0404590i | 0.111753 | − | 0.993736i | \(-0.464354\pi\) |
−0.302098 | + | 0.953277i | \(0.597687\pi\) | |||||||
\(558\) | −4.46958 | + | 3.52183i | −0.189212 | + | 0.149091i | ||||
\(559\) | −12.1084 | + | 42.8068i | −0.512131 | + | 1.81053i | ||||
\(560\) | 31.2726 | − | 31.2138i | 1.32151 | − | 1.31902i | ||||
\(561\) | −0.867747 | + | 1.27502i | −0.0366363 | + | 0.0538313i | ||||
\(562\) | −0.547611 | + | 0.269892i | −0.0230996 | + | 0.0113847i | ||||
\(563\) | −2.33761 | + | 22.2409i | −0.0985186 | + | 0.937342i | 0.827907 | + | 0.560865i | \(0.189531\pi\) |
−0.926426 | + | 0.376477i | \(0.877135\pi\) | |||||||
\(564\) | 0.514113 | + | 6.57197i | 0.0216481 | + | 0.276730i | ||||
\(565\) | −28.0207 | − | 25.2299i | −1.17884 | − | 1.06143i | ||||
\(566\) | 0.899437 | + | 1.42626i | 0.0378062 | + | 0.0599504i | ||||
\(567\) | −12.4736 | − | 17.1684i | −0.523842 | − | 0.721007i | ||||
\(568\) | −10.5651 | − | 14.1692i | −0.443301 | − | 0.594528i | ||||
\(569\) | −0.612139 | + | 0.551173i | −0.0256622 | + | 0.0231064i | −0.681862 | − | 0.731481i | \(-0.738830\pi\) |
0.656200 | + | 0.754587i | \(0.272163\pi\) | |||||||
\(570\) | 1.73079 | − | 10.0584i | 0.0724948 | − | 0.421301i | ||||
\(571\) | −25.5177 | −1.06788 | −0.533942 | − | 0.845521i | \(-0.679290\pi\) | ||||
−0.533942 | + | 0.845521i | \(0.679290\pi\) | |||||||
\(572\) | −11.0654 | + | 21.2027i | −0.462668 | + | 0.886531i | ||||
\(573\) | 3.86950 | 0.161651 | ||||||||
\(574\) | −4.86501 | + | 28.2728i | −0.203062 | + | 1.18009i | ||||
\(575\) | 31.3592 | − | 28.2360i | 1.30777 | − | 1.17752i | ||||
\(576\) | −20.4242 | + | 9.70648i | −0.851009 | + | 0.404437i | ||||
\(577\) | −15.7557 | − | 21.6859i | −0.655920 | − | 0.902796i | 0.343418 | − | 0.939183i | \(-0.388415\pi\) |
−0.999338 | + | 0.0363867i | \(0.988415\pi\) | |||||||
\(578\) | −11.8830 | − | 18.8433i | −0.494270 | − | 0.783779i | ||||
\(579\) | −6.62724 | − | 5.96719i | −0.275419 | − | 0.247988i | ||||
\(580\) | 68.0709 | − | 5.32506i | 2.82649 | − | 0.221111i | ||||
\(581\) | 3.17222 | − | 30.1817i | 0.131606 | − | 1.25215i | ||||
\(582\) | 0.993132 | − | 0.489468i | 0.0411667 | − | 0.0202891i | ||||
\(583\) | 0.974978 | + | 31.6989i | 0.0403795 | + | 1.31283i | ||||
\(584\) | 1.74847 | − | 8.75783i | 0.0723522 | − | 0.362402i | ||||
\(585\) | −38.1326 | − | 10.7863i | −1.57659 | − | 0.445957i | ||||
\(586\) | 6.19425 | − | 4.88079i | 0.255882 | − | 0.201623i | ||||
\(587\) | −36.8465 | − | 7.83197i | −1.52082 | − | 0.323260i | −0.629630 | − | 0.776895i | \(-0.716794\pi\) |
−0.891188 | + | 0.453635i | \(0.850127\pi\) | |||||||
\(588\) | 0.424912 | + | 0.783470i | 0.0175231 | + | 0.0323097i | ||||
\(589\) | −2.58117 | + | 5.79740i | −0.106355 | + | 0.238878i | ||||
\(590\) | −8.85377 | − | 2.49927i | −0.364504 | − | 0.102893i | ||||
\(591\) | −0.642930 | − | 3.02475i | −0.0264466 | − | 0.124422i | ||||
\(592\) | −18.5933 | + | 15.0276i | −0.764179 | + | 0.617630i | ||||
\(593\) | −17.1257 | −0.703267 | −0.351634 | − | 0.936138i | \(-0.614374\pi\) | ||||
−0.351634 | + | 0.936138i | \(0.614374\pi\) | |||||||
\(594\) | −4.98811 | + | 10.2263i | −0.204665 | + | 0.419592i | ||||
\(595\) | −10.6850 | − | 6.16901i | −0.438044 | − | 0.252905i | ||||
\(596\) | 8.12590 | + | 7.71847i | 0.332850 | + | 0.316161i | ||||
\(597\) | 2.00129 | − | 6.15935i | 0.0819075 | − | 0.252085i | ||||
\(598\) | −1.64698 | − | 21.1996i | −0.0673501 | − | 0.866918i | ||||
\(599\) | −5.15739 | − | 7.09854i | −0.210725 | − | 0.290039i | 0.690551 | − | 0.723284i | \(-0.257368\pi\) |
−0.901276 | + | 0.433245i | \(0.857368\pi\) | |||||||
\(600\) | 1.09869 | − | 11.8650i | 0.0448539 | − | 0.484388i | ||||
\(601\) | −0.0225548 | + | 0.106112i | −0.000920028 | + | 0.00432839i | −0.978605 | − | 0.205747i | \(-0.934038\pi\) |
0.977685 | + | 0.210075i | \(0.0673709\pi\) | |||||||
\(602\) | −18.3793 | + | 46.0366i | −0.749085 | + | 1.87631i | ||||
\(603\) | 9.41047 | + | 6.83711i | 0.383224 | + | 0.278429i | ||||
\(604\) | 3.79293 | + | 2.91326i | 0.154332 | + | 0.118539i | ||||
\(605\) | 39.7891 | − | 15.6921i | 1.61766 | − | 0.637976i | ||||
\(606\) | −3.37918 | − | 2.25905i | −0.137270 | − | 0.0917675i | ||||
\(607\) | −2.38291 | + | 22.6719i | −0.0967195 | + | 0.920225i | 0.833326 | + | 0.552781i | \(0.186434\pi\) |
−0.930046 | + | 0.367444i | \(0.880233\pi\) | |||||||
\(608\) | −15.1129 | + | 20.1890i | −0.612909 | + | 0.818774i | ||||
\(609\) | −2.15901 | + | 10.1573i | −0.0874874 | + | 0.411596i | ||||
\(610\) | −12.3874 | + | 0.483784i | −0.501553 | + | 0.0195879i | ||||
\(611\) | 25.6108 | − | 12.6053i | 1.03610 | − | 0.509956i | ||||
\(612\) | 4.09869 | + | 4.80352i | 0.165680 | + | 0.194171i | ||||
\(613\) | 20.4584 | + | 22.7213i | 0.826306 | + | 0.917705i | 0.997720 | − | 0.0674936i | \(-0.0215002\pi\) |
−0.171414 | + | 0.985199i | \(0.554834\pi\) | |||||||
\(614\) | −2.92681 | + | 17.0090i | −0.118116 | + | 0.686428i | ||||
\(615\) | 5.77978 | + | 10.0109i | 0.233063 | + | 0.403677i | ||||
\(616\) | −14.7200 | + | 22.2153i | −0.593085 | + | 0.895078i | ||||
\(617\) | −30.7567 | + | 17.7574i | −1.23822 | + | 0.714885i | −0.968730 | − | 0.248119i | \(-0.920188\pi\) |
−0.269488 | + | 0.963004i | \(0.586854\pi\) | |||||||
\(618\) | −6.48132 | + | 7.78921i | −0.260717 | + | 0.313328i | ||||
\(619\) | 5.54493 | − | 17.0655i | 0.222869 | − | 0.685921i | −0.775632 | − | 0.631186i | \(-0.782568\pi\) |
0.998501 | − | 0.0547354i | \(-0.0174315\pi\) | |||||||
\(620\) | −3.70012 | + | 10.4332i | −0.148601 | + | 0.419008i | ||||
\(621\) | −1.05740 | − | 10.0605i | −0.0424319 | − | 0.403713i | ||||
\(622\) | 22.5277 | + | 11.8592i | 0.903278 | + | 0.475509i | ||||
\(623\) | 7.23958 | + | 22.2811i | 0.290048 | + | 0.892675i | ||||
\(624\) | −4.40215 | − | 4.08331i | −0.176227 | − | 0.163463i | ||||
\(625\) | −21.6826 | − | 15.7533i | −0.867304 | − | 0.630133i | ||||
\(626\) | −6.57842 | + | 3.24219i | −0.262926 | + | 0.129584i | ||||
\(627\) | 0.189247 | + | 6.15288i | 0.00755781 | + | 0.245722i | ||||
\(628\) | 7.73070 | − | 10.0650i | 0.308488 | − | 0.401639i | ||||
\(629\) | 5.40076 | + | 3.92388i | 0.215342 | + | 0.156455i | ||||
\(630\) | −41.0098 | − | 16.3724i | −1.63387 | − | 0.652293i | ||||
\(631\) | 0.0681572 | − | 0.0756963i | 0.00271330 | − | 0.00301342i | −0.741787 | − | 0.670636i | \(-0.766021\pi\) |
0.744500 | + | 0.667623i | \(0.232688\pi\) | |||||||
\(632\) | 14.1636 | + | 30.7803i | 0.563396 | + | 1.22437i | ||||
\(633\) | −1.09195 | + | 2.45256i | −0.0434012 | + | 0.0974806i | ||||
\(634\) | −7.50203 | + | 7.30471i | −0.297944 | + | 0.290107i | ||||
\(635\) | −51.4668 | + | 46.3409i | −2.04240 | + | 1.83898i | ||||
\(636\) | −7.74105 | − | 1.86232i | −0.306953 | − | 0.0738456i | ||||
\(637\) | 2.47014 | − | 2.96536i | 0.0978704 | − | 0.117492i | ||||
\(638\) | −39.5867 | + | 11.3500i | −1.56725 | + | 0.449351i | ||||
\(639\) | −8.83177 | + | 15.2971i | −0.349379 | + | 0.605143i | ||||
\(640\) | −23.5357 | + | 37.1661i | −0.930332 | + | 1.46912i | ||||
\(641\) | 48.9923 | − | 10.4136i | 1.93508 | − | 0.411314i | 0.937005 | − | 0.349316i | \(-0.113586\pi\) |
0.998076 | − | 0.0619986i | \(-0.0197474\pi\) | |||||||
\(642\) | −4.60988 | − | 1.30129i | −0.181937 | − | 0.0513579i | ||||
\(643\) | 38.1498 | + | 16.9854i | 1.50448 | + | 0.669838i | 0.983030 | − | 0.183444i | \(-0.0587247\pi\) |
0.521450 | + | 0.853282i | \(0.325391\pi\) | |||||||
\(644\) | 0.631366 | − | 23.6849i | 0.0248793 | − | 0.933316i | ||||
\(645\) | 6.17214 | + | 18.9959i | 0.243028 | + | 0.747963i | ||||
\(646\) | 6.54015 | + | 2.61104i | 0.257319 | + | 0.102730i | ||||
\(647\) | 9.80341 | + | 22.0188i | 0.385412 | + | 0.865649i | 0.997211 | + | 0.0746357i | \(0.0237794\pi\) |
−0.611799 | + | 0.791013i | \(0.709554\pi\) | |||||||
\(648\) | 15.8755 | + | 13.9423i | 0.623648 | + | 0.547704i | ||||
\(649\) | 5.53357 | + | 0.410077i | 0.217212 | + | 0.0160969i | ||||
\(650\) | −49.4876 | + | 14.6047i | −1.94106 | + | 0.572845i | ||||
\(651\) | −1.36204 | − | 0.989583i | −0.0533827 | − | 0.0387848i | ||||
\(652\) | 5.64346 | − | 11.8174i | 0.221015 | − | 0.462807i | ||||
\(653\) | 9.54027 | + | 2.02785i | 0.373340 | + | 0.0793558i | 0.390760 | − | 0.920492i | \(-0.372212\pi\) |
−0.0174207 | + | 0.999848i | \(0.505545\pi\) | |||||||
\(654\) | 6.92946 | − | 4.36989i | 0.270963 | − | 0.170876i | ||||
\(655\) | −51.0393 | − | 70.2495i | −1.99427 | − | 2.74488i | ||||
\(656\) | −1.46802 | − | 28.5252i | −0.0573166 | − | 1.11372i | ||||
\(657\) | −8.73009 | + | 1.85564i | −0.340593 | + | 0.0723953i | ||||
\(658\) | 29.8433 | − | 11.0018i | 1.16341 | − | 0.428895i | ||||
\(659\) | −13.5086 | − | 23.3976i | −0.526220 | − | 0.911439i | −0.999533 | − | 0.0305453i | \(-0.990276\pi\) |
0.473314 | − | 0.880894i | \(-0.343058\pi\) | |||||||
\(660\) | 1.16618 | + | 10.6745i | 0.0453933 | + | 0.415505i | ||||
\(661\) | −14.7074 | − | 8.49130i | −0.572050 | − | 0.330273i | 0.185918 | − | 0.982565i | \(-0.440474\pi\) |
−0.757968 | + | 0.652292i | \(0.773808\pi\) | |||||||
\(662\) | −14.6526 | − | 39.7463i | −0.569488 | − | 1.54478i | ||||
\(663\) | −0.781814 | + | 1.48321i | −0.0303631 | + | 0.0576030i | ||||
\(664\) | 3.53024 | + | 30.0083i | 0.137000 | + | 1.16455i | ||||
\(665\) | −48.9754 | + | 5.14752i | −1.89918 | + | 0.199612i | ||||
\(666\) | 21.1415 | + | 11.1295i | 0.819218 | + | 0.431258i | ||||
\(667\) | 24.4992 | − | 27.2091i | 0.948613 | − | 1.05354i | ||||
\(668\) | −1.43084 | − | 18.2906i | −0.0553609 | − | 0.707685i | ||||
\(669\) | 3.70142 | + | 0.389035i | 0.143105 | + | 0.0150410i | ||||
\(670\) | 22.5798 | + | 1.48529i | 0.872332 | + | 0.0573818i | ||||
\(671\) | 7.26241 | − | 1.77868i | 0.280362 | − | 0.0686650i | ||||
\(672\) | −4.40542 | − | 5.03536i | −0.169943 | − | 0.194243i | ||||
\(673\) | 19.3082 | + | 43.3669i | 0.744276 | + | 1.67167i | 0.740844 | + | 0.671677i | \(0.234426\pi\) |
0.00343149 | + | 0.999994i | \(0.498908\pi\) | |||||||
\(674\) | −26.3968 | + | 3.82101i | −1.01677 | + | 0.147180i | ||||
\(675\) | −23.3456 | + | 7.58544i | −0.898572 | + | 0.291964i | ||||
\(676\) | −9.36640 | + | 24.2543i | −0.360246 | + | 0.932857i | ||||
\(677\) | −28.0122 | − | 38.5555i | −1.07660 | − | 1.48181i | −0.863214 | − | 0.504839i | \(-0.831552\pi\) |
−0.213383 | − | 0.976969i | \(-0.568448\pi\) | |||||||
\(678\) | −4.09060 | + | 3.98301i | −0.157099 | + | 0.152967i | ||||
\(679\) | −3.57466 | − | 3.97006i | −0.137183 | − | 0.152357i | ||||
\(680\) | 11.7290 | + | 3.65102i | 0.449786 | + | 0.140010i | ||||
\(681\) | −0.630860 | −0.0241746 | ||||||||
\(682\) | 0.929421 | − | 6.61170i | 0.0355894 | − | 0.253175i | ||||
\(683\) | 22.0438 | + | 38.1810i | 0.843482 | + | 1.46095i | 0.886933 | + | 0.461898i | \(0.152831\pi\) |
−0.0434511 | + | 0.999056i | \(0.513835\pi\) | |||||||
\(684\) | 24.5042 | + | 5.89513i | 0.936941 | + | 0.225406i | ||||
\(685\) | −57.3497 | + | 12.1901i | −2.19122 | + | 0.465758i | ||||
\(686\) | −17.0680 | + | 16.6191i | −0.651660 | + | 0.634521i | ||||
\(687\) | 0.243510 | + | 2.31685i | 0.00929050 | + | 0.0883932i | ||||
\(688\) | 7.76642 | − | 48.7383i | 0.296092 | − | 1.85813i | ||||
\(689\) | 4.92083 | + | 34.1236i | 0.187469 | + | 1.30001i | ||||
\(690\) | −5.90865 | − | 7.49872i | −0.224939 | − | 0.285471i | ||||
\(691\) | 36.2324 | − | 16.1317i | 1.37834 | − | 0.613678i | 0.422180 | − | 0.906512i | \(-0.361265\pi\) |
0.956163 | + | 0.292834i | \(0.0945982\pi\) | |||||||
\(692\) | −2.65583 | + | 20.0999i | −0.100959 | + | 0.764084i | ||||
\(693\) | 26.2089 | + | 4.73380i | 0.995593 | + | 0.179822i | ||||
\(694\) | 6.30870 | + | 4.21748i | 0.239475 | + | 0.160094i | ||||
\(695\) | −22.7100 | − | 2.38692i | −0.861439 | − | 0.0905409i | ||||
\(696\) | −0.128034 | − | 10.3381i | −0.00485310 | − | 0.391863i | ||||
\(697\) | −7.58549 | + | 2.46468i | −0.287321 | + | 0.0933562i | ||||
\(698\) | −23.2402 | − | 36.8527i | −0.879655 | − | 1.39490i | ||||
\(699\) | −0.356805 | − | 3.39477i | −0.0134956 | − | 0.128402i | ||||
\(700\) | −56.5360 | + | 10.4508i | −2.13686 | + | 0.395003i | ||||
\(701\) | 8.22518 | + | 2.67252i | 0.310661 | + | 0.100940i | 0.460198 | − | 0.887816i | \(-0.347778\pi\) |
−0.149537 | + | 0.988756i | \(0.547778\pi\) | |||||||
\(702\) | −4.14066 | + | 11.6556i | −0.156279 | + | 0.439911i | ||||
\(703\) | 26.6450 | 1.00493 | ||||||||
\(704\) | 9.43035 | − | 24.8006i | 0.355420 | − | 0.934707i | ||||
\(705\) | 6.40802 | − | 11.0990i | 0.241340 | − | 0.418013i | ||||
\(706\) | 34.4325 | + | 28.6509i | 1.29589 | + | 1.07829i | ||||
\(707\) | −6.06057 | + | 18.6525i | −0.227931 | + | 0.701500i | ||||
\(708\) | −0.465624 | + | 1.31292i | −0.0174992 | + | 0.0493424i | ||||
\(709\) | 9.32096 | − | 20.9352i | 0.350056 | − | 0.786239i | −0.649607 | − | 0.760270i | \(-0.725066\pi\) |
0.999663 | − | 0.0259684i | \(-0.00826692\pi\) | |||||||
\(710\) | 1.34097 | + | 34.3360i | 0.0503258 | + | 1.28861i | ||||
\(711\) | 22.6578 | − | 25.1640i | 0.849734 | − | 0.943726i | ||||
\(712\) | −11.9119 | − | 20.0544i | −0.446419 | − | 0.751569i | ||||
\(713\) | 2.41442 | + | 5.42287i | 0.0904207 | + | 0.203088i | ||||
\(714\) | −1.03830 | + | 1.55314i | −0.0388575 | + | 0.0581247i | ||||
\(715\) | 41.0674 | − | 21.8061i | 1.53583 | − | 0.815501i | ||||
\(716\) | 4.19096 | − | 1.73364i | 0.156624 | − | 0.0647893i | ||||
\(717\) | −5.33401 | + | 2.37486i | −0.199202 | + | 0.0886906i | ||||
\(718\) | 7.78584 | − | 1.12702i | 0.290565 | − | 0.0420601i | ||||
\(719\) | −12.4601 | − | 11.2192i | −0.464685 | − | 0.418404i | 0.403244 | − | 0.915093i | \(-0.367883\pi\) |
−0.867929 | + | 0.496688i | \(0.834549\pi\) | |||||||
\(720\) | 43.4164 | + | 6.91838i | 1.61803 | + | 0.257833i | ||||
\(721\) | 44.6652 | + | 19.8862i | 1.66342 | + | 0.740602i | ||||
\(722\) | 1.19930 | − | 0.304283i | 0.0446334 | − | 0.0113243i | ||||
\(723\) | −4.67975 | − | 1.52054i | −0.174042 | − | 0.0565496i | ||||
\(724\) | −19.6133 | + | 5.79969i | −0.728924 | + | 0.215544i | ||||
\(725\) | −76.9426 | − | 44.4228i | −2.85758 | − | 1.64982i | ||||
\(726\) | −1.97554 | − | 6.16788i | −0.0733190 | − | 0.228911i | ||||
\(727\) | − | 37.0603i | − | 1.37449i | −0.726426 | − | 0.687244i | \(-0.758820\pi\) | ||
0.726426 | − | 0.687244i | \(-0.241180\pi\) | |||||||
\(728\) | −13.1907 | + | 25.7939i | −0.488880 | + | 0.955987i | ||||
\(729\) | 5.58879 | − | 17.2005i | 0.206992 | − | 0.637056i | ||||
\(730\) | −12.4398 | + | 12.1126i | −0.460417 | + | 0.448307i | ||||
\(731\) | −13.7058 | + | 1.44054i | −0.506927 | + | 0.0532802i | ||||
\(732\) | −0.0500212 | + | 1.87648i | −0.00184883 | + | 0.0693568i | ||||
\(733\) | 3.38797 | + | 10.4271i | 0.125138 | + | 0.385134i | 0.993926 | − | 0.110049i | \(-0.0351009\pi\) |
−0.868789 | + | 0.495183i | \(0.835101\pi\) | |||||||
\(734\) | 3.26249 | − | 8.17191i | 0.120421 | − | 0.301631i | ||||
\(735\) | 0.181126 | − | 1.72330i | 0.00668093 | − | 0.0635648i | ||||
\(736\) | 4.57491 | + | 23.1419i | 0.168633 | + | 0.853021i | ||||
\(737\) | −13.5231 | + | 1.84324i | −0.498131 | + | 0.0678965i | ||||
\(738\) | −25.6044 | + | 12.6192i | −0.942511 | + | 0.464519i | ||||
\(739\) | −7.58310 | − | 17.0319i | −0.278949 | − | 0.626529i | 0.718681 | − | 0.695340i | \(-0.244746\pi\) |
−0.997630 | + | 0.0688107i | \(0.978080\pi\) | |||||||
\(740\) | 46.3374 | − | 3.62489i | 1.70340 | − | 0.133254i | ||||
\(741\) | 0.955152 | + | 6.62353i | 0.0350884 | + | 0.243322i | ||||
\(742\) | 1.49918 | + | 38.3870i | 0.0550368 | + | 1.40923i | ||||
\(743\) | 24.2706 | − | 2.55094i | 0.890401 | − | 0.0935849i | 0.351730 | − | 0.936101i | \(-0.385593\pi\) |
0.538670 | + | 0.842517i | \(0.318927\pi\) | |||||||
\(744\) | 1.53963 | + | 0.662764i | 0.0564455 | + | 0.0242981i | ||||
\(745\) | −4.53018 | − | 21.3128i | −0.165973 | − | 0.780842i | ||||
\(746\) | −1.52365 | + | 0.561696i | −0.0557848 | + | 0.0205652i | ||||
\(747\) | 26.1509 | − | 15.0983i | 0.956813 | − | 0.552416i | ||||
\(748\) | −7.37154 | − | 0.744257i | −0.269530 | − | 0.0272127i | ||||
\(749\) | 23.1119i | 0.844490i | ||||||||
\(750\) | −7.49603 | + | 9.00869i | −0.273716 | + | 0.328951i | ||||
\(751\) | −32.1250 | + | 28.9255i | −1.17226 | + | 1.05551i | −0.174775 | + | 0.984608i | \(0.555920\pi\) |
−0.997484 | + | 0.0708976i | \(0.977414\pi\) | |||||||
\(752\) | −26.5749 | + | 17.2224i | −0.969088 | + | 0.628037i | ||||
\(753\) | 2.68771 | − | 1.95273i | 0.0979456 | − | 0.0711616i | ||||
\(754\) | −41.3786 | + | 17.0908i | −1.50692 | + | 0.622410i | ||||
\(755\) | −2.87330 | − | 8.84311i | −0.104570 | − | 0.321834i | ||||
\(756\) | −5.93944 | + | 12.4372i | −0.216015 | + | 0.452338i | ||||
\(757\) | −13.7738 | + | 6.13247i | −0.500616 | + | 0.222888i | −0.641479 | − | 0.767141i | \(-0.721679\pi\) |
0.140863 | + | 0.990029i | \(0.455012\pi\) | |||||||
\(758\) | 2.36269 | − | 35.9181i | 0.0858166 | − | 1.30460i | ||||
\(759\) | 4.39553 | + | 3.71955i | 0.159548 | + | 0.135011i | ||||
\(760\) | 46.4390 | − | 15.7274i | 1.68452 | − | 0.570491i | ||||
\(761\) | 0.367517 | − | 3.49669i | 0.0133225 | − | 0.126755i | −0.985839 | − | 0.167693i | \(-0.946368\pi\) |
0.999162 | + | 0.0409386i | \(0.0130348\pi\) | |||||||
\(762\) | 6.49033 | + | 8.23694i | 0.235120 | + | 0.298393i | ||||
\(763\) | −29.3749 | − | 26.4492i | −1.06344 | − | 0.957527i | ||||
\(764\) | 8.86209 | + | 16.3403i | 0.320619 | + | 0.591170i | ||||
\(765\) | −1.28324 | − | 12.2092i | −0.0463956 | − | 0.441425i | ||||
\(766\) | −0.693404 | + | 2.45641i | −0.0250537 | + | 0.0887537i | ||||
\(767\) | 6.02765 | − | 0.232172i | 0.217646 | − | 0.00838325i | ||||
\(768\) | 5.38167 | + | 3.92551i | 0.194194 | + | 0.141650i | ||||
\(769\) | −6.81358 | + | 11.8015i | −0.245704 | + | 0.425572i | −0.962329 | − | 0.271887i | \(-0.912352\pi\) |
0.716625 | + | 0.697458i | \(0.245686\pi\) | |||||||
\(770\) | 48.0390 | − | 19.4073i | 1.73120 | − | 0.699390i | ||||
\(771\) | 0.0122607 | − | 0.00707872i | 0.000441558 | − | 0.000254934i | ||||
\(772\) | 10.0205 | − | 41.6521i | 0.360646 | − | 1.49909i | ||||
\(773\) | 1.75638 | + | 8.26312i | 0.0631726 | + | 0.297204i | 0.998380 | − | 0.0568964i | \(-0.0181205\pi\) |
−0.935207 | + | 0.354100i | \(0.884787\pi\) | |||||||
\(774\) | −47.8078 | + | 12.1297i | −1.71842 | + | 0.435992i | ||||
\(775\) | 11.6534 | − | 8.46667i | 0.418602 | − | 0.304132i | ||||
\(776\) | 4.34146 | + | 3.07284i | 0.155849 | + | 0.110308i | ||||
\(777\) | −1.46969 | + | 6.91432i | −0.0527247 | + | 0.248050i | ||||
\(778\) | −2.68538 | − | 18.5514i | −0.0962754 | − | 0.665102i | ||||
\(779\) | −18.7117 | + | 25.7545i | −0.670417 | + | 0.922750i | ||||
\(780\) | 2.56217 | + | 11.3888i | 0.0917402 | + | 0.407785i | ||||
\(781\) | −4.93020 | − | 20.1302i | −0.176417 | − | 0.720317i | ||||
\(782\) | 5.90852 | − | 2.91203i | 0.211288 | − | 0.104134i | ||||
\(783\) | −19.4571 | + | 8.66287i | −0.695341 | + | 0.309586i | ||||
\(784\) | −2.33531 | + | 3.58867i | −0.0834041 | + | 0.128167i | ||||
\(785\) | −23.4663 | + | 7.62467i | −0.837549 | + | 0.272136i | ||||
\(786\) | −11.1216 | + | 7.01355i | −0.396694 | + | 0.250165i | ||||
\(787\) | 7.39436 | − | 16.6080i | 0.263580 | − | 0.592011i | −0.732470 | − | 0.680799i | \(-0.761633\pi\) |
0.996051 | + | 0.0887880i | \(0.0282994\pi\) | |||||||
\(788\) | 11.3006 | − | 9.64240i | 0.402566 | − | 0.343496i | ||||
\(789\) | −0.0974104 | − | 0.458280i | −0.00346790 | − | 0.0163152i | ||||
\(790\) | 11.1709 | − | 64.9193i | 0.397443 | − | 2.30973i | ||||
\(791\) | 23.8572 | + | 13.7740i | 0.848265 | + | 0.489746i | ||||
\(792\) | −26.4919 | + | 1.14335i | −0.941348 | + | 0.0406273i | ||||
\(793\) | 7.62817 | − | 2.80750i | 0.270884 | − | 0.0996973i | ||||
\(794\) | 13.9588 | − | 5.14594i | 0.495379 | − | 0.182623i | ||||
\(795\) | 10.3577 | + | 11.5034i | 0.367349 | + | 0.407982i | ||||
\(796\) | 30.5934 | − | 5.65526i | 1.08435 | − | 0.200445i | ||||
\(797\) | 37.8437 | + | 16.8491i | 1.34049 | + | 0.596826i | 0.946624 | − | 0.322341i | \(-0.104470\pi\) |
0.393869 | + | 0.919167i | \(0.371136\pi\) | |||||||
\(798\) | 0.290998 | + | 7.45108i | 0.0103012 | + | 0.263765i | ||||
\(799\) | 6.57148 | + | 5.91699i | 0.232482 | + | 0.209328i | ||||
\(800\) | 52.6204 | − | 22.5342i | 1.86041 | − | 0.796705i | ||||
\(801\) | −13.7018 | + | 18.8589i | −0.484129 | + | 0.666346i | ||||
\(802\) | 14.0589 | + | 0.924790i | 0.496436 | + | 0.0326555i | ||||
\(803\) | 5.89200 | − | 8.65736i | 0.207924 | − | 0.305512i | ||||
\(804\) | 0.448839 | − | 3.39692i | 0.0158293 | − | 0.119800i | ||||
\(805\) | −27.0756 | + | 37.2664i | −0.954290 | + | 1.31347i | ||||
\(806\) | 0.197303 | − | 7.25566i | 0.00694972 | − | 0.255570i | ||||
\(807\) | −6.14899 | + | 1.99793i | −0.216455 | + | 0.0703304i | ||||
\(808\) | 1.80045 | − | 19.4435i | 0.0633396 | − | 0.684020i | ||||
\(809\) | 25.5024 | − | 2.68041i | 0.896617 | − | 0.0942382i | 0.355003 | − | 0.934865i | \(-0.384480\pi\) |
0.541614 | + | 0.840627i | \(0.317813\pi\) | |||||||
\(810\) | −10.1020 | − | 39.8160i | −0.354948 | − | 1.39899i | ||||
\(811\) | 33.4544 | + | 10.8700i | 1.17474 | + | 0.381697i | 0.830411 | − | 0.557151i | \(-0.188106\pi\) |
0.344331 | + | 0.938848i | \(0.388106\pi\) | |||||||
\(812\) | −47.8374 | + | 14.1456i | −1.67877 | + | 0.496414i | ||||
\(813\) | −2.34120 | − | 4.05508i | −0.0821096 | − | 0.142218i | ||||
\(814\) | −26.9476 | + | 7.72620i | −0.944512 | + | 0.270803i | ||||
\(815\) | −22.0494 | + | 12.7302i | −0.772357 | + | 0.445920i | ||||
\(816\) | 0.668224 | − | 1.73590i | 0.0233925 | − | 0.0607685i | ||||
\(817\) | −40.8772 | + | 36.8060i | −1.43011 | + | 1.28768i | ||||
\(818\) | 6.65331 | − | 23.5696i | 0.232627 | − | 0.824092i | ||||
\(819\) | 28.8896 | + | 1.91590i | 1.00948 | + | 0.0669469i | ||||
\(820\) | −29.0372 | + | 47.3344i | −1.01402 | + | 1.65299i | ||||
\(821\) | 0.656604 | + | 0.139566i | 0.0229157 | + | 0.00487087i | 0.219355 | − | 0.975645i | \(-0.429605\pi\) |
−0.196440 | + | 0.980516i | \(0.562938\pi\) | |||||||
\(822\) | 1.27185 | + | 8.78639i | 0.0443610 | + | 0.306460i | ||||
\(823\) | −11.2925 | − | 1.18689i | −0.393631 | − | 0.0413723i | −0.0943542 | − | 0.995539i | \(-0.530079\pi\) |
−0.299277 | + | 0.954166i | \(0.596745\pi\) | |||||||
\(824\) | −47.7363 | − | 9.53039i | −1.66297 | − | 0.332007i | ||||
\(825\) | 6.61095 | − | 12.3096i | 0.230164 | − | 0.428566i | ||||
\(826\) | 6.70692 | + | 0.441180i | 0.233364 | + | 0.0153506i | ||||
\(827\) | −4.28555 | + | 5.89856i | −0.149023 | + | 0.205113i | −0.877002 | − | 0.480487i | \(-0.840460\pi\) |
0.727979 | + | 0.685600i | \(0.240460\pi\) | |||||||
\(828\) | 19.4351 | − | 13.3439i | 0.675418 | − | 0.463734i | ||||
\(829\) | 37.1138 | + | 7.88878i | 1.28901 | + | 0.273989i | 0.800904 | − | 0.598793i | \(-0.204353\pi\) |
0.488111 | + | 0.872782i | \(0.337686\pi\) | |||||||
\(830\) | 27.3641 | − | 51.9808i | 0.949820 | − | 1.80428i | ||||
\(831\) | −8.48865 | + | 6.16736i | −0.294468 | + | 0.213944i | ||||
\(832\) | 7.16116 | − | 27.9413i | 0.248268 | − | 0.968691i | ||||
\(833\) | 1.13707 | + | 0.369458i | 0.0393973 | + | 0.0128009i | ||||
\(834\) | −0.586364 | + | 3.40763i | −0.0203041 | + | 0.117997i | ||||
\(835\) | −17.8343 | + | 30.8899i | −0.617182 | + | 1.06899i | ||||
\(836\) | −25.5492 | + | 14.8907i | −0.883637 | + | 0.515007i | ||||
\(837\) | − | 3.45308i | − | 0.119356i | ||||||
\(838\) | 16.5149 | + | 13.7419i | 0.570498 | + | 0.474705i | ||||
\(839\) | −43.1118 | + | 9.16369i | −1.48838 | + | 0.316366i | −0.879119 | − | 0.476602i | \(-0.841868\pi\) |
−0.609264 | + | 0.792967i | \(0.708535\pi\) | |||||||
\(840\) | 1.51974 | + | 12.9183i | 0.0524360 | + | 0.445725i | ||||
\(841\) | −43.9304 | − | 19.5591i | −1.51484 | − | 0.674451i | ||||
\(842\) | 21.7475 | + | 11.4484i | 0.749467 | + | 0.394539i | ||||
\(843\) | 0.0373672 | − | 0.175799i | 0.00128699 | − | 0.00605483i | ||||
\(844\) | −12.8576 | + | 1.00583i | −0.442577 | + | 0.0346220i | ||||
\(845\) | 41.7023 | − | 28.5666i | 1.43460 | − | 0.982721i | ||||
\(846\) | 26.3102 | + | 17.5889i | 0.904563 | + | 0.604718i | ||||
\(847\) | −26.0513 | + | 17.2583i | −0.895133 | + | 0.593002i | ||||
\(848\) | −9.86462 | − | 36.9544i | −0.338753 | − | 1.26902i | ||||
\(849\) | −0.493673 | − | 0.0518871i | −0.0169428 | − | 0.00178076i | ||||
\(850\) | −9.89281 | − | 12.5550i | −0.339321 | − | 0.430634i | ||||
\(851\) | 16.6772 | − | 18.5219i | 0.571686 | − | 0.634921i | ||||
\(852\) | 5.20131 | + | 0.138651i | 0.178194 | + | 0.00475009i | ||||
\(853\) | 13.4018 | − | 9.73697i | 0.458869 | − | 0.333388i | −0.334219 | − | 0.942496i | \(-0.608472\pi\) |
0.793087 | + | 0.609108i | \(0.208472\pi\) | |||||||
\(854\) | 8.77910 | − | 2.22741i | 0.300415 | − | 0.0762203i | ||||
\(855\) | −32.7870 | − | 36.4137i | −1.12129 | − | 1.24532i | ||||
\(856\) | −5.06259 | − | 22.4470i | −0.173036 | − | 0.767224i | ||||
\(857\) | 16.1842i | 0.552840i | 0.961037 | + | 0.276420i | \(0.0891481\pi\) | ||||
−0.961037 | + | 0.276420i | \(0.910852\pi\) | |||||||
\(858\) | −2.88661 | − | 6.42179i | −0.0985474 | − | 0.219236i | ||||
\(859\) | − | 27.7608i | − | 0.947185i | −0.880744 | − | 0.473593i | \(-0.842957\pi\) | ||
0.880744 | − | 0.473593i | \(-0.157043\pi\) | |||||||
\(860\) | −66.0809 | + | 69.5692i | −2.25334 | + | 2.37229i | ||||
\(861\) | −5.65114 | − | 6.27623i | −0.192590 | − | 0.213893i | ||||
\(862\) | 9.87489 | + | 38.9209i | 0.336340 | + | 1.32565i | ||||
\(863\) | −35.2580 | + | 25.6164i | −1.20020 | + | 0.871994i | −0.994304 | − | 0.106581i | \(-0.966010\pi\) |
−0.205892 | + | 0.978575i | \(0.566010\pi\) | |||||||
\(864\) | 3.04425 | − | 13.3805i | 0.103567 | − | 0.455213i | ||||
\(865\) | 26.3753 | − | 29.2927i | 0.896787 | − | 0.995982i | ||||
\(866\) | 1.86663 | − | 1.47082i | 0.0634307 | − | 0.0499806i | ||||
\(867\) | 6.52224 | + | 0.685515i | 0.221507 | + | 0.0232813i | ||||
\(868\) | 1.05944 | − | 8.01807i | 0.0359597 | − | 0.272151i | ||||
\(869\) | 1.22144 | + | 39.7121i | 0.0414347 | + | 1.34714i | ||||
\(870\) | −11.1712 | + | 16.7103i | −0.378738 | + | 0.566532i | ||||
\(871\) | −14.3834 | + | 3.64112i | −0.487364 | + | 0.123375i | ||||
\(872\) | 34.3235 | + | 19.2539i | 1.16234 | + | 0.652020i | ||||
\(873\) | 1.10517 | − | 5.19943i | 0.0374044 | − | 0.175974i | ||||
\(874\) | 12.2472 | − | 23.2648i | 0.414268 | − | 0.786944i | ||||
\(875\) | 51.6580 | + | 22.9996i | 1.74636 | + | 0.777529i | ||||
\(876\) | 1.70651 | + | 1.99997i | 0.0576576 | + | 0.0675727i | ||||
\(877\) | −24.7910 | + | 5.26949i | −0.837132 | + | 0.177938i | −0.606481 | − | 0.795098i | \(-0.707419\pi\) |
−0.230652 | + | 0.973036i | \(0.574086\pi\) | |||||||
\(878\) | 19.2432 | − | 23.1264i | 0.649427 | − | 0.780478i | ||||
\(879\) | 2.32158i | 0.0783048i | ||||||||
\(880\) | −42.4059 | + | 29.3718i | −1.42950 | + | 0.990123i | ||||
\(881\) | 14.9605 | − | 25.9123i | 0.504031 | − | 0.873008i | −0.495958 | − | 0.868347i | \(-0.665183\pi\) |
0.999989 | − | 0.00466104i | \(-0.00148366\pi\) | |||||||
\(882\) | 4.21698 | + | 0.725632i | 0.141993 | + | 0.0244333i | ||||
\(883\) | −44.8069 | − | 14.5587i | −1.50787 | − | 0.489938i | −0.565571 | − | 0.824700i | \(-0.691344\pi\) |
−0.942303 | + | 0.334762i | \(0.891344\pi\) | |||||||
\(884\) | −8.05389 | + | 0.0954291i | −0.270882 | + | 0.00320963i | ||||
\(885\) | 2.19106 | − | 1.59190i | 0.0736517 | − | 0.0535111i | ||||
\(886\) | −5.01588 | − | 2.64049i | −0.168512 | − | 0.0887090i | ||||
\(887\) | 1.14929 | + | 0.244289i | 0.0385894 | + | 0.00820244i | 0.227166 | − | 0.973856i | \(-0.427054\pi\) |
−0.188577 | + | 0.982058i | \(0.560387\pi\) | |||||||
\(888\) | −0.0871554 | − | 7.03735i | −0.00292474 | − | 0.236158i | ||||
\(889\) | 29.7411 | − | 40.9351i | 0.997484 | − | 1.37292i | ||||
\(890\) | −2.97657 | + | 45.2506i | −0.0997749 | + | 1.51680i | ||||
\(891\) | 10.7682 | + | 22.3130i | 0.360747 | + | 0.747514i | ||||
\(892\) | 6.83432 | + | 16.5215i | 0.228830 | + | 0.553181i | ||||
\(893\) | 35.1012 | + | 3.68929i | 1.17462 | + | 0.123457i | ||||
\(894\) | −3.26528 | + | 0.472659i | −0.109207 | + | 0.0158081i | ||||
\(895\) | −8.62485 | − | 1.83327i | −0.288297 | − | 0.0612794i | ||||
\(896\) | 11.1740 | − | 30.1356i | 0.373298 | − | 1.00676i | ||||
\(897\) | 5.20208 | + | 3.48173i | 0.173693 | + | 0.116251i | ||||
\(898\) | 17.6169 | + | 4.97296i | 0.587884 | + | 0.165950i | ||||
\(899\) | 9.28789 | − | 8.36286i | 0.309769 | − | 0.278917i | ||||
\(900\) | −41.4779 | − | 39.3982i | −1.38260 | − | 1.31327i | ||||
\(901\) | −9.24949 | + | 5.34020i | −0.308145 | + | 0.177908i | ||||
\(902\) | 11.4563 | − | 31.4728i | 0.381451 | − | 1.04793i | ||||
\(903\) | −7.29638 | − | 12.6377i | −0.242808 | − | 0.420557i | ||||
\(904\) | −26.1881 | − | 8.15189i | −0.871003 | − | 0.271128i | ||||
\(905\) | 37.8176 | + | 12.2877i | 1.25710 | + | 0.408456i | ||||
\(906\) | −1.36470 | + | 0.346249i | −0.0453393 | + | 0.0115033i | ||||
\(907\) | 18.6129 | − | 1.95630i | 0.618032 | − | 0.0649578i | 0.209662 | − | 0.977774i | \(-0.432764\pi\) |
0.408371 | + | 0.912816i | \(0.366097\pi\) | |||||||
\(908\) | −1.44482 | − | 2.66402i | −0.0479481 | − | 0.0884086i | ||||
\(909\) | −18.5595 | + | 6.03033i | −0.615578 | + | 0.200014i | ||||
\(910\) | 49.5260 | − | 26.8259i | 1.64177 | − | 0.889271i | ||||
\(911\) | 8.68183 | − | 11.9495i | 0.287642 | − | 0.395905i | −0.640605 | − | 0.767871i | \(-0.721316\pi\) |
0.928246 | + | 0.371966i | \(0.121316\pi\) | |||||||
\(912\) | −1.91476 | − | 7.17299i | −0.0634042 | − | 0.237522i | ||||
\(913\) | −9.90753 | + | 34.0171i | −0.327892 | + | 1.12580i | ||||
\(914\) | 0.0549526 | − | 0.835402i | 0.00181767 | − | 0.0276326i | ||||
\(915\) | 2.14512 | − | 2.95250i | 0.0709154 | − | 0.0976066i | ||||
\(916\) | −9.22597 | + | 6.33444i | −0.304835 | + | 0.209296i | ||||
\(917\) | 47.1458 | + | 42.4503i | 1.55689 | + | 1.40183i | ||||
\(918\) | −3.82890 | + | 0.149536i | −0.126372 | + | 0.00493541i | ||||
\(919\) | 20.3054 | + | 9.04055i | 0.669814 | + | 0.298220i | 0.713326 | − | 0.700833i | \(-0.247188\pi\) |
−0.0435120 | + | 0.999053i | \(0.513855\pi\) | |||||||
\(920\) | 18.1336 | − | 42.1252i | 0.597849 | − | 1.38883i | ||||
\(921\) | −3.39975 | − | 3.77580i | −0.112025 | − | 0.124417i | ||||
\(922\) | −1.72379 | − | 4.67592i | −0.0567699 | − | 0.153993i | ||||
\(923\) | −7.78195 | − | 21.1441i | −0.256146 | − | 0.695966i | ||||
\(924\) | −2.45488 | − | 7.45132i | −0.0807595 | − | 0.245130i | ||||
\(925\) | −52.3765 | − | 30.2396i | −1.72213 | − | 0.994272i | ||||
\(926\) | 44.7256 | + | 7.69610i | 1.46977 | + | 0.252909i | ||||
\(927\) | 10.1145 | + | 47.5851i | 0.332205 | + | 1.56290i | ||||
\(928\) | 43.3628 | − | 24.2173i | 1.42345 | − | 0.794973i | ||||
\(929\) | −1.22597 | + | 2.75356i | −0.0402226 | + | 0.0903415i | −0.932539 | − | 0.361068i | \(-0.882412\pi\) |
0.892317 | + | 0.451410i | \(0.149079\pi\) | |||||||
\(930\) | −1.73832 | − | 2.75651i | −0.0570018 | − | 0.0903894i | ||||
\(931\) | 4.53844 | − | 1.47463i | 0.148741 | − | 0.0483290i | ||||
\(932\) | 13.5184 | − | 9.28158i | 0.442810 | − | 0.304028i | ||||
\(933\) | −6.84673 | + | 3.04836i | −0.224152 | + | 0.0997989i | ||||
\(934\) | 4.35084 | + | 8.82787i | 0.142364 | + | 0.288857i | ||||
\(935\) | 10.9958 | + | 9.30476i | 0.359601 | + | 0.304298i | ||||
\(936\) | −28.4782 | + | 4.46740i | −0.930840 | + | 0.146022i | ||||
\(937\) | −13.3103 | + | 18.3200i | −0.434828 | + | 0.598490i | −0.969053 | − | 0.246853i | \(-0.920604\pi\) |
0.534225 | + | 0.845342i | \(0.320604\pi\) | |||||||
\(938\) | −16.3621 | + | 2.36846i | −0.534240 | + | 0.0773328i | ||||
\(939\) | 0.448889 | − | 2.11186i | 0.0146489 | − | 0.0689178i | ||||
\(940\) | 61.5453 | + | 1.64060i | 2.00739 | + | 0.0535106i | ||||
\(941\) | 0.897960 | − | 0.652406i | 0.0292726 | − | 0.0212678i | −0.573053 | − | 0.819518i | \(-0.694241\pi\) |
0.602325 | + | 0.798251i | \(0.294241\pi\) | |||||||
\(942\) | 0.918816 | + | 3.62142i | 0.0299366 | + | 0.117992i | ||||
\(943\) | 6.19113 | + | 29.1270i | 0.201611 | + | 0.948505i | ||||
\(944\) | −6.61063 | + | 1.04064i | −0.215158 | + | 0.0338701i | ||||
\(945\) | 23.2058 | − | 13.3979i | 0.754886 | − | 0.435833i | ||||
\(946\) | 30.6689 | − | 49.0771i | 0.997131 | − | 1.59563i | ||||
\(947\) | 16.1698 | − | 28.0069i | 0.525447 | − | 0.910101i | −0.474114 | − | 0.880464i | \(-0.657231\pi\) |
0.999561 | − | 0.0296375i | \(-0.00943529\pi\) | |||||||
\(948\) | −9.69793 | − | 2.33309i | −0.314974 | − | 0.0757754i | ||||
\(949\) | 5.30851 | − | 10.0710i | 0.172322 | − | 0.326918i | ||||
\(950\) | −61.3992 | − | 17.3320i | −1.99205 | − | 0.562323i | ||||
\(951\) | −0.322209 | − | 3.06561i | −0.0104483 | − | 0.0994093i | ||||
\(952\) | −8.93662 | − | 0.827522i | −0.289637 | − | 0.0268201i | ||||
\(953\) | −19.2250 | − | 17.3103i | −0.622759 | − | 0.560735i | 0.296181 | − | 0.955132i | \(-0.404287\pi\) |
−0.918940 | + | 0.394397i | \(0.870954\pi\) | |||||||
\(954\) | −30.0240 | + | 23.6576i | −0.972063 | + | 0.765942i | ||||
\(955\) | 3.77762 | − | 35.9416i | 0.122241 | − | 1.16304i | ||||
\(956\) | −22.2448 | − | 17.0857i | −0.719449 | − | 0.552590i | ||||
\(957\) | 4.58821 | − | 11.2216i | 0.148316 | − | 0.362744i | ||||
\(958\) | −30.0990 | − | 1.97990i | −0.972453 | − | 0.0639678i | ||||
\(959\) | 39.1328 | − | 17.4231i | 1.26366 | − | 0.562620i | ||||
\(960\) | −4.30574 | − | 12.2138i | −0.138967 | − | 0.394199i | ||||
\(961\) | −8.95337 | − | 27.5556i | −0.288818 | − | 0.888891i | ||||
\(962\) | −28.1673 | + | 11.6341i | −0.908151 | + | 0.375098i | ||||
\(963\) | −18.6046 | + | 13.5170i | −0.599525 | + | 0.435581i | ||||
\(964\) | −4.29675 | − | 23.2442i | −0.138389 | − | 0.748646i | ||||
\(965\) | −61.8958 | + | 55.7312i | −1.99250 | + | 1.79405i | ||||
\(966\) | 5.36164 | + | 4.46137i | 0.172508 | + | 0.143542i | ||||
\(967\) | 4.97072i | 0.159848i | 0.996801 | + | 0.0799238i | \(0.0254677\pi\) | ||||
−0.996801 | + | 0.0799238i | \(0.974532\pi\) | |||||||
\(968\) | 21.5215 | − | 22.4683i | 0.691727 | − | 0.722159i | ||||
\(969\) | −1.79536 | + | 1.03655i | −0.0576754 | + | 0.0332989i | ||||
\(970\) | −3.57685 | − | 9.70250i | −0.114846 | − | 0.311528i | ||||
\(971\) | 5.99696 | + | 28.2135i | 0.192452 | + | 0.905413i | 0.963307 | + | 0.268403i | \(0.0864959\pi\) |
−0.770855 | + | 0.637010i | \(0.780171\pi\) | |||||||
\(972\) | −20.4287 | + | 3.77630i | −0.655251 | + | 0.121125i | ||||
\(973\) | 16.5921 | − | 1.74390i | 0.531918 | − | 0.0559069i | ||||
\(974\) | 30.1585 | − | 1.17782i | 0.966340 | − | 0.0377399i | ||||
\(975\) | 5.63954 | − | 14.1040i | 0.180610 | − | 0.451690i | ||||
\(976\) | −8.03865 | + | 4.08637i | −0.257311 | + | 0.130801i | ||||
\(977\) | 0.415950 | + | 0.934238i | 0.0133074 | + | 0.0298889i | 0.920077 | − | 0.391738i | \(-0.128126\pi\) |
−0.906770 | + | 0.421627i | \(0.861459\pi\) | |||||||
\(978\) | 1.70432 | + | 3.45807i | 0.0544981 | + | 0.110577i | ||||
\(979\) | −3.69391 | − | 27.1008i | −0.118058 | − | 0.866146i | ||||
\(980\) | 7.69203 | − | 3.18190i | 0.245713 | − | 0.101642i | ||||
\(981\) | 4.11116 | − | 39.1151i | 0.131259 | − | 1.24885i | ||||
\(982\) | 22.4559 | + | 8.96510i | 0.716595 | + | 0.286088i | ||||
\(983\) | −11.1418 | − | 34.2909i | −0.355368 | − | 1.09371i | −0.955796 | − | 0.294031i | \(-0.905003\pi\) |
0.600428 | − | 0.799679i | \(-0.294997\pi\) | |||||||
\(984\) | 6.86337 | + | 4.85782i | 0.218796 | + | 0.154862i | ||||
\(985\) | −28.7229 | + | 3.01890i | −0.915187 | + | 0.0961900i | ||||
\(986\) | −9.67525 | − | 9.93660i | −0.308123 | − | 0.316446i | ||||
\(987\) | −2.89348 | + | 8.90522i | −0.0921005 | + | 0.283456i | ||||
\(988\) | −25.7826 | + | 19.2029i | −0.820253 | + | 0.610927i | ||||
\(989\) | 51.4522i | 1.63608i | ||||||||
\(990\) | 43.7182 | + | 27.3200i | 1.38946 | + | 0.868288i | ||||
\(991\) | 34.1814 | + | 19.7346i | 1.08581 | + | 0.626891i | 0.932457 | − | 0.361281i | \(-0.117661\pi\) |
0.153350 | + | 0.988172i | \(0.450994\pi\) | |||||||
\(992\) | 0.727374 | + | 8.01949i | 0.0230941 | + | 0.254619i | ||||
\(993\) | 11.8602 | + | 3.85363i | 0.376373 | + | 0.122291i | ||||
\(994\) | −6.17402 | − | 24.3343i | −0.195828 | − | 0.771836i | ||||
\(995\) | −55.2570 | − | 24.6020i | −1.75176 | − | 0.779935i | ||||
\(996\) | −7.58205 | − | 4.65120i | −0.240246 | − | 0.147379i | ||||
\(997\) | −2.38896 | − | 2.15103i | −0.0756592 | − | 0.0681238i | 0.630434 | − | 0.776243i | \(-0.282877\pi\) |
−0.706093 | + | 0.708119i | \(0.749544\pi\) | |||||||
\(998\) | 1.22226 | + | 8.44379i | 0.0386900 | + | 0.267283i | ||||
\(999\) | −13.2449 | + | 5.89701i | −0.419050 | + | 0.186573i |
(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 | 572.2.bn.a.95.5 | ✓ | 640 | |
4.3 | odd | 2 | inner | 572.2.bn.a.95.27 | yes | 640 | |
11.8 | odd | 10 | inner | 572.2.bn.a.459.53 | yes | 640 | |
13.10 | even | 6 | inner | 572.2.bn.a.491.24 | yes | 640 | |
44.19 | even | 10 | inner | 572.2.bn.a.459.24 | yes | 640 | |
52.23 | odd | 6 | inner | 572.2.bn.a.491.53 | yes | 640 | |
143.140 | odd | 30 | inner | 572.2.bn.a.283.27 | yes | 640 | |
572.283 | even | 30 | inner | 572.2.bn.a.283.5 | yes | 640 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.bn.a.95.5 | ✓ | 640 | 1.1 | even | 1 | trivial | |
572.2.bn.a.95.27 | yes | 640 | 4.3 | odd | 2 | inner | |
572.2.bn.a.283.5 | yes | 640 | 572.283 | even | 30 | inner | |
572.2.bn.a.283.27 | yes | 640 | 143.140 | odd | 30 | inner | |
572.2.bn.a.459.24 | yes | 640 | 44.19 | even | 10 | inner | |
572.2.bn.a.459.53 | yes | 640 | 11.8 | odd | 10 | inner | |
572.2.bn.a.491.24 | yes | 640 | 13.10 | even | 6 | inner | |
572.2.bn.a.491.53 | yes | 640 | 52.23 | odd | 6 | inner |