Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [124,3,Mod(7,124)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(124, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([15, 28]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("124.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 124 = 2^{2} \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 124.n (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: | \(3.37875527807\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 7.19 | ||
Character | \(\chi\) | \(=\) | 124.7 |
Dual form | 124.3.n.a.71.19 |
$q$-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 \(\left(\mathbb{Z}/124\mathbb{Z}\right)^\times\).
\(n\) | \(63\) | \(65\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{14}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.640254 | + | 1.89475i | 0.320127 | + | 0.947375i | ||||
\(3\) | 0.631742 | + | 2.97211i | 0.210581 | + | 0.990704i | 0.948735 | + | 0.316072i | \(0.102364\pi\) |
−0.738155 | + | 0.674632i | \(0.764302\pi\) | |||||||
\(4\) | −3.18015 | + | 2.42624i | −0.795037 | + | 0.606561i | ||||
\(5\) | 1.43502 | − | 2.48553i | 0.287004 | − | 0.497105i | −0.686089 | − | 0.727517i | \(-0.740674\pi\) |
0.973093 | + | 0.230412i | \(0.0740074\pi\) | |||||||
\(6\) | −5.22693 | + | 3.09990i | −0.871155 | + | 0.516650i | ||||
\(7\) | −3.93413 | + | 8.83620i | −0.562018 | + | 1.26231i | 0.379450 | + | 0.925212i | \(0.376113\pi\) |
−0.941468 | + | 0.337102i | \(0.890553\pi\) | |||||||
\(8\) | −6.63323 | − | 4.47217i | −0.829153 | − | 0.559021i | ||||
\(9\) | −0.212439 | + | 0.0945840i | −0.0236044 | + | 0.0105093i | ||||
\(10\) | 5.62823 | + | 1.12763i | 0.562823 | + | 0.112763i | ||||
\(11\) | −1.92885 | + | 0.202730i | −0.175350 | + | 0.0184300i | −0.191797 | − | 0.981435i | \(-0.561431\pi\) |
0.0164464 | + | 0.999865i | \(0.494765\pi\) | |||||||
\(12\) | −9.22010 | − | 7.91900i | −0.768341 | − | 0.659916i | ||||
\(13\) | 5.52553 | + | 6.13673i | 0.425041 | + | 0.472056i | 0.917187 | − | 0.398457i | \(-0.130454\pi\) |
−0.492146 | + | 0.870513i | \(0.663787\pi\) | |||||||
\(14\) | −19.2612 | − | 1.79677i | −1.37580 | − | 0.128341i | ||||
\(15\) | 8.29382 | + | 2.69483i | 0.552922 | + | 0.179655i | ||||
\(16\) | 4.22669 | − | 15.4316i | 0.264168 | − | 0.964477i | ||||
\(17\) | 1.19586 | − | 11.3779i | 0.0703450 | − | 0.669288i | −0.901357 | − | 0.433077i | \(-0.857428\pi\) |
0.971702 | − | 0.236211i | \(-0.0759055\pi\) | |||||||
\(18\) | −0.315228 | − | 0.341961i | −0.0175127 | − | 0.0189978i | ||||
\(19\) | 2.13513 | + | 1.92248i | 0.112375 | + | 0.101183i | 0.723403 | − | 0.690426i | \(-0.242577\pi\) |
−0.611028 | + | 0.791609i | \(0.709244\pi\) | |||||||
\(20\) | 1.46692 | + | 11.3860i | 0.0733459 | + | 0.569302i | ||||
\(21\) | −28.7475 | − | 6.11047i | −1.36893 | − | 0.290975i | ||||
\(22\) | −1.61908 | − | 3.52489i | −0.0735945 | − | 0.160222i | ||||
\(23\) | 4.46861 | − | 6.15052i | 0.194288 | − | 0.267414i | −0.700748 | − | 0.713409i | \(-0.747150\pi\) |
0.895035 | + | 0.445995i | \(0.147150\pi\) | |||||||
\(24\) | 9.10130 | − | 22.5399i | 0.379221 | − | 0.939164i | ||||
\(25\) | 8.38144 | + | 14.5171i | 0.335258 | + | 0.580683i | ||||
\(26\) | −8.08981 | + | 14.3986i | −0.311146 | + | 0.553791i | ||||
\(27\) | 15.6586 | + | 21.5522i | 0.579948 | + | 0.798230i | ||||
\(28\) | −8.92765 | − | 37.6456i | −0.318845 | − | 1.34448i | ||||
\(29\) | 6.56240 | + | 20.1970i | 0.226290 | + | 0.696448i | 0.998158 | + | 0.0606655i | \(0.0193223\pi\) |
−0.771869 | + | 0.635782i | \(0.780678\pi\) | |||||||
\(30\) | 0.204137 | + | 17.4401i | 0.00680458 | + | 0.581336i | ||||
\(31\) | 30.5177 | − | 5.44709i | 0.984441 | − | 0.175713i | ||||
\(32\) | 31.9452 | − | 1.87166i | 0.998288 | − | 0.0584892i | ||||
\(33\) | −1.82107 | − | 5.60469i | −0.0551840 | − | 0.169839i | ||||
\(34\) | 22.3239 | − | 5.01888i | 0.656585 | − | 0.147614i | ||||
\(35\) | 16.3171 | + | 22.4585i | 0.466202 | + | 0.641671i | ||||
\(36\) | 0.446104 | − | 0.816221i | 0.0123918 | − | 0.0226728i | ||||
\(37\) | 9.89774 | + | 17.1434i | 0.267506 | + | 0.463335i | 0.968217 | − | 0.250111i | \(-0.0804670\pi\) |
−0.700711 | + | 0.713445i | \(0.747134\pi\) | |||||||
\(38\) | −2.27559 | + | 5.27640i | −0.0598838 | + | 0.138853i | ||||
\(39\) | −14.7483 | + | 20.2993i | −0.378162 | + | 0.520495i | ||||
\(40\) | −20.6345 | + | 10.0694i | −0.515863 | + | 0.251735i | ||||
\(41\) | −30.3171 | − | 6.44411i | −0.739443 | − | 0.157173i | −0.177234 | − | 0.984169i | \(-0.556715\pi\) |
−0.562209 | + | 0.826995i | \(0.690048\pi\) | |||||||
\(42\) | −6.82791 | − | 58.3816i | −0.162569 | − | 1.39004i | ||||
\(43\) | −41.3316 | − | 37.2152i | −0.961201 | − | 0.865469i | 0.0297686 | − | 0.999557i | \(-0.490523\pi\) |
−0.990969 | + | 0.134088i | \(0.957190\pi\) | |||||||
\(44\) | 5.64216 | − | 5.32457i | 0.128231 | − | 0.121013i | ||||
\(45\) | −0.0697633 | + | 0.663753i | −0.00155030 | + | 0.0147501i | ||||
\(46\) | 14.5147 | + | 4.52901i | 0.315538 | + | 0.0984566i | ||||
\(47\) | 54.1269 | + | 17.5869i | 1.15164 | + | 0.374190i | 0.821760 | − | 0.569834i | \(-0.192993\pi\) |
0.329877 | + | 0.944024i | \(0.392993\pi\) | |||||||
\(48\) | 48.5347 | + | 2.81338i | 1.01114 | + | 0.0586122i | ||||
\(49\) | −29.8136 | − | 33.1114i | −0.608441 | − | 0.675743i | ||||
\(50\) | −22.1400 | + | 25.1753i | −0.442799 | + | 0.503507i | ||||
\(51\) | 34.5718 | − | 3.63365i | 0.677879 | − | 0.0712480i | ||||
\(52\) | −32.4612 | − | 6.10941i | −0.624254 | − | 0.117489i | ||||
\(53\) | 83.0012 | − | 36.9545i | 1.56606 | − | 0.697255i | 0.573522 | − | 0.819190i | \(-0.305577\pi\) |
0.992538 | + | 0.121936i | \(0.0389101\pi\) | |||||||
\(54\) | −30.8106 | + | 43.4680i | −0.570566 | + | 0.804963i | ||||
\(55\) | −2.26405 | + | 5.08513i | −0.0411645 | + | 0.0924570i | ||||
\(56\) | 65.6130 | − | 41.0184i | 1.17166 | − | 0.732472i | ||||
\(57\) | −4.36496 | + | 7.56034i | −0.0765783 | + | 0.132638i | ||||
\(58\) | −34.0666 | + | 25.3653i | −0.587355 | + | 0.437333i | ||||
\(59\) | −17.5298 | − | 82.4714i | −0.297116 | − | 1.39782i | −0.832881 | − | 0.553453i | \(-0.813310\pi\) |
0.535765 | − | 0.844367i | \(-0.320023\pi\) | |||||||
\(60\) | −32.9139 | + | 11.5529i | −0.548565 | + | 0.192548i | ||||
\(61\) | 18.5876 | 0.304714 | 0.152357 | − | 0.988325i | \(-0.451314\pi\) | ||||
0.152357 | + | 0.988325i | \(0.451314\pi\) | |||||||
\(62\) | 29.8600 | + | 54.3358i | 0.481612 | + | 0.876384i | ||||
\(63\) | − | 2.24926i | − | 0.0357026i | ||||||
\(64\) | 23.9994 | + | 59.3298i | 0.374990 | + | 0.927029i | ||||
\(65\) | 23.1822 | − | 4.92754i | 0.356650 | − | 0.0758083i | ||||
\(66\) | 9.45353 | − | 7.03890i | 0.143235 | − | 0.106650i | ||||
\(67\) | −85.4391 | − | 49.3283i | −1.27521 | − | 0.736243i | −0.299246 | − | 0.954176i | \(-0.596735\pi\) |
−0.975964 | + | 0.217933i | \(0.930069\pi\) | |||||||
\(68\) | 23.8025 | + | 39.0848i | 0.350037 | + | 0.574777i | ||||
\(69\) | 21.1030 | + | 9.39568i | 0.305841 | + | 0.136169i | ||||
\(70\) | −32.1061 | + | 45.2959i | −0.458659 | + | 0.647084i | ||||
\(71\) | −0.0650149 | − | 0.146026i | −0.000915703 | − | 0.00205670i | 0.913087 | − | 0.407765i | \(-0.133692\pi\) |
−0.914003 | + | 0.405708i | \(0.867025\pi\) | |||||||
\(72\) | 1.83215 | + | 0.322667i | 0.0254466 | + | 0.00448149i | ||||
\(73\) | −1.57415 | − | 14.9770i | −0.0215637 | − | 0.205165i | 0.978435 | − | 0.206553i | \(-0.0662247\pi\) |
−0.999999 | + | 0.00138841i | \(0.999558\pi\) | |||||||
\(74\) | −26.1453 | + | 29.7299i | −0.353316 | + | 0.401755i | ||||
\(75\) | −37.8515 | + | 34.0816i | −0.504686 | + | 0.454422i | ||||
\(76\) | −11.4544 | − | 0.933424i | −0.150716 | − | 0.0122819i | ||||
\(77\) | 5.79698 | − | 17.8413i | 0.0752855 | − | 0.231705i | ||||
\(78\) | −47.9048 | − | 14.9476i | −0.614164 | − | 0.191636i | ||||
\(79\) | −149.725 | − | 15.7367i | −1.89525 | − | 0.199199i | −0.915906 | − | 0.401393i | \(-0.868526\pi\) |
−0.979345 | + | 0.202194i | \(0.935193\pi\) | |||||||
\(80\) | −32.2903 | − | 32.6502i | −0.403629 | − | 0.408128i | ||||
\(81\) | −55.5638 | + | 61.7099i | −0.685973 | + | 0.761850i | ||||
\(82\) | −7.20072 | − | 61.5692i | −0.0878136 | − | 0.750845i | ||||
\(83\) | 25.2083 | − | 118.595i | 0.303714 | − | 1.42886i | −0.516246 | − | 0.856440i | \(-0.672671\pi\) |
0.819960 | − | 0.572421i | \(-0.193996\pi\) | |||||||
\(84\) | 106.247 | − | 50.3163i | 1.26484 | − | 0.599003i | ||||
\(85\) | −26.5640 | − | 19.2998i | −0.312517 | − | 0.227057i | ||||
\(86\) | 44.0506 | − | 102.140i | 0.512217 | − | 1.18768i | ||||
\(87\) | −55.8819 | + | 32.2635i | −0.642321 | + | 0.370844i | ||||
\(88\) | 13.7012 | + | 7.28139i | 0.155695 | + | 0.0827431i | ||||
\(89\) | −129.124 | + | 93.8142i | −1.45083 | + | 1.05409i | −0.465197 | + | 0.885207i | \(0.654016\pi\) |
−0.985636 | + | 0.168885i | \(0.945984\pi\) | |||||||
\(90\) | −1.30231 | + | 0.292787i | −0.0144701 | + | 0.00325319i | ||||
\(91\) | −75.9635 | + | 24.6820i | −0.834764 | + | 0.271231i | ||||
\(92\) | 0.711801 | + | 30.4015i | 0.00773696 | + | 0.330451i | ||||
\(93\) | 35.4687 | + | 87.2608i | 0.381383 | + | 0.938288i | ||||
\(94\) | 1.33224 | + | 113.817i | 0.0141727 | + | 1.21082i | ||||
\(95\) | 7.84231 | − | 2.54812i | 0.0825506 | − | 0.0268223i | ||||
\(96\) | 25.7439 | + | 93.7623i | 0.268166 | + | 0.976691i | ||||
\(97\) | 84.0458 | − | 61.0628i | 0.866451 | − | 0.629514i | −0.0631812 | − | 0.998002i | \(-0.520125\pi\) |
0.929632 | + | 0.368488i | \(0.120125\pi\) | |||||||
\(98\) | 43.6495 | − | 77.6891i | 0.445403 | − | 0.792746i | ||||
\(99\) | 0.390589 | − | 0.225506i | 0.00394534 | − | 0.00227784i | ||||
\(100\) | −61.8762 | − | 25.8311i | −0.618762 | − | 0.258311i | ||||
\(101\) | −49.2085 | − | 35.7521i | −0.487213 | − | 0.353981i | 0.316898 | − | 0.948459i | \(-0.397359\pi\) |
−0.804112 | + | 0.594478i | \(0.797359\pi\) | |||||||
\(102\) | 29.0196 | + | 63.1785i | 0.284506 | + | 0.619397i | ||||
\(103\) | −19.3965 | + | 91.2532i | −0.188315 | + | 0.885954i | 0.777934 | + | 0.628346i | \(0.216268\pi\) |
−0.966250 | + | 0.257608i | \(0.917066\pi\) | |||||||
\(104\) | −9.20763 | − | 65.4174i | −0.0885349 | − | 0.629014i | ||||
\(105\) | −56.4410 | + | 62.6841i | −0.537533 | + | 0.596991i | ||||
\(106\) | 123.161 | + | 133.606i | 1.16190 | + | 1.26043i | ||||
\(107\) | 165.926 | + | 17.4395i | 1.55071 | + | 0.162986i | 0.840816 | − | 0.541321i | \(-0.182076\pi\) |
0.709895 | + | 0.704307i | \(0.248742\pi\) | |||||||
\(108\) | −102.088 | − | 30.5477i | −0.945256 | − | 0.282849i | ||||
\(109\) | 42.6222 | − | 131.178i | 0.391030 | − | 1.20347i | −0.540981 | − | 0.841035i | \(-0.681947\pi\) |
0.932011 | − | 0.362431i | \(-0.118053\pi\) | |||||||
\(110\) | −11.0846 | − | 1.03402i | −0.100769 | − | 0.00940020i | ||||
\(111\) | −44.6992 | + | 40.2474i | −0.402696 | + | 0.362589i | ||||
\(112\) | 119.729 | + | 98.0579i | 1.06901 | + | 0.875517i | ||||
\(113\) | −5.30960 | − | 50.5174i | −0.0469876 | − | 0.447057i | −0.992570 | − | 0.121674i | \(-0.961174\pi\) |
0.945583 | − | 0.325382i | \(-0.105493\pi\) | |||||||
\(114\) | −17.1196 | − | 3.42997i | −0.150172 | − | 0.0300875i | ||||
\(115\) | −8.87473 | − | 19.9330i | −0.0771716 | − | 0.173330i | ||||
\(116\) | −69.8722 | − | 48.3074i | −0.602346 | − | 0.416443i | ||||
\(117\) | −1.75428 | − | 0.781054i | −0.0149938 | − | 0.00667568i | ||||
\(118\) | 145.039 | − | 86.0173i | 1.22914 | − | 0.728960i | ||||
\(119\) | 95.8326 | + | 55.3290i | 0.805316 | + | 0.464949i | ||||
\(120\) | −42.9631 | − | 54.9668i | −0.358026 | − | 0.458057i | ||||
\(121\) | −114.676 | + | 24.3752i | −0.947740 | + | 0.201448i | ||||
\(122\) | 11.9008 | + | 35.2188i | 0.0975474 | + | 0.288679i | ||||
\(123\) | − | 94.1769i | − | 0.765666i | ||||||
\(124\) | −83.8348 | + | 91.3659i | −0.676087 | + | 0.736822i | ||||
\(125\) | 119.861 | 0.958889 | ||||||||
\(126\) | 4.26179 | − | 1.44010i | 0.0338237 | − | 0.0114294i | ||||
\(127\) | −18.6510 | − | 87.7461i | −0.146858 | − | 0.690914i | −0.988542 | − | 0.150944i | \(-0.951769\pi\) |
0.841684 | − | 0.539971i | \(-0.181565\pi\) | |||||||
\(128\) | −97.0494 | + | 83.4590i | −0.758199 | + | 0.652023i | ||||
\(129\) | 84.4967 | − | 146.353i | 0.655013 | − | 1.13452i | ||||
\(130\) | 24.1790 | + | 40.7696i | 0.185992 | + | 0.313613i | ||||
\(131\) | −11.3510 | + | 25.4948i | −0.0866489 | + | 0.194617i | −0.951673 | − | 0.307114i | \(-0.900637\pi\) |
0.865024 | + | 0.501731i | \(0.167303\pi\) | |||||||
\(132\) | 19.3896 | + | 13.4054i | 0.146891 | + | 0.101556i | ||||
\(133\) | −25.3872 | + | 11.3031i | −0.190881 | + | 0.0849859i | ||||
\(134\) | 38.7620 | − | 193.468i | 0.289268 | − | 1.44379i | ||||
\(135\) | 76.0390 | − | 7.99202i | 0.563252 | − | 0.0592002i | ||||
\(136\) | −58.8163 | + | 70.1240i | −0.432473 | + | 0.515618i | ||||
\(137\) | 102.067 | + | 113.357i | 0.745017 | + | 0.827426i | 0.989846 | − | 0.142141i | \(-0.0453985\pi\) |
−0.244829 | + | 0.969566i | \(0.578732\pi\) | |||||||
\(138\) | −4.29114 | + | 46.0006i | −0.0310952 | + | 0.333338i | ||||
\(139\) | −50.6469 | − | 16.4562i | −0.364367 | − | 0.118390i | 0.121111 | − | 0.992639i | \(-0.461354\pi\) |
−0.485478 | + | 0.874249i | \(0.661354\pi\) | |||||||
\(140\) | −106.380 | − | 31.8322i | −0.759860 | − | 0.227373i | ||||
\(141\) | −18.0760 | + | 171.982i | −0.128199 | + | 1.21973i | ||||
\(142\) | 0.235056 | − | 0.216681i | 0.00165533 | − | 0.00152592i | ||||
\(143\) | −11.9020 | − | 10.7166i | −0.0832310 | − | 0.0749415i | ||||
\(144\) | 0.561671 | + | 3.67806i | 0.00390050 | + | 0.0255421i | ||||
\(145\) | 59.6173 | + | 12.6720i | 0.411154 | + | 0.0873934i | ||||
\(146\) | 27.3699 | − | 12.5717i | 0.187465 | − | 0.0861078i | ||||
\(147\) | 79.5762 | − | 109.527i | 0.541335 | − | 0.745084i | ||||
\(148\) | −73.0703 | − | 30.5042i | −0.493718 | − | 0.206109i | ||||
\(149\) | −66.4399 | − | 115.077i | −0.445905 | − | 0.772330i | 0.552210 | − | 0.833705i | \(-0.313785\pi\) |
−0.998115 | + | 0.0613750i | \(0.980451\pi\) | |||||||
\(150\) | −88.8107 | − | 49.8981i | −0.592071 | − | 0.332654i | ||||
\(151\) | 155.280 | + | 213.725i | 1.02835 | + | 1.41540i | 0.906183 | + | 0.422887i | \(0.138983\pi\) |
0.122163 | + | 0.992510i | \(0.461017\pi\) | |||||||
\(152\) | −5.56513 | − | 22.3009i | −0.0366127 | − | 0.146716i | ||||
\(153\) | 0.822118 | + | 2.53022i | 0.00537332 | + | 0.0165374i | ||||
\(154\) | 37.5163 | − | 0.439130i | 0.243612 | − | 0.00285150i | ||||
\(155\) | 30.2546 | − | 83.6692i | 0.195191 | − | 0.539801i | ||||
\(156\) | −2.34924 | − | 100.338i | −0.0150593 | − | 0.643192i | ||||
\(157\) | 29.0237 | + | 89.3257i | 0.184864 | + | 0.568954i | 0.999946 | − | 0.0103924i | \(-0.00330805\pi\) |
−0.815082 | + | 0.579346i | \(0.803308\pi\) | |||||||
\(158\) | −66.0449 | − | 293.767i | −0.418006 | − | 1.85928i | ||||
\(159\) | 162.268 | + | 223.343i | 1.02055 | + | 1.40467i | ||||
\(160\) | 41.1900 | − | 82.0865i | 0.257437 | − | 0.513041i | ||||
\(161\) | 36.7671 | + | 63.6825i | 0.228367 | + | 0.395544i | ||||
\(162\) | −152.500 | − | 65.7695i | −0.941356 | − | 0.405984i | ||||
\(163\) | 141.773 | − | 195.134i | 0.869774 | − | 1.19714i | −0.109375 | − | 0.994001i | \(-0.534885\pi\) |
0.979149 | − | 0.203141i | \(-0.0651150\pi\) | |||||||
\(164\) | 112.048 | − | 53.0635i | 0.683219 | − | 0.323558i | ||||
\(165\) | −16.5439 | − | 3.51651i | −0.100266 | − | 0.0213122i | ||||
\(166\) | 240.848 | − | 28.1680i | 1.45089 | − | 0.169687i | ||||
\(167\) | 80.6021 | + | 72.5745i | 0.482647 | + | 0.434578i | 0.874191 | − | 0.485582i | \(-0.161392\pi\) |
−0.391544 | + | 0.920159i | \(0.628059\pi\) | |||||||
\(168\) | 163.362 | + | 169.096i | 0.972391 | + | 1.00652i | ||||
\(169\) | 10.5374 | − | 100.257i | 0.0623516 | − | 0.593236i | ||||
\(170\) | 19.5607 | − | 62.6888i | 0.115063 | − | 0.368758i | ||||
\(171\) | −0.635420 | − | 0.206460i | −0.00371591 | − | 0.00120737i | ||||
\(172\) | 221.734 | + | 18.0692i | 1.28915 | + | 0.105053i | ||||
\(173\) | −166.187 | − | 184.569i | −0.960618 | − | 1.06687i | −0.997715 | − | 0.0675625i | \(-0.978478\pi\) |
0.0370973 | − | 0.999312i | \(-0.488189\pi\) | |||||||
\(174\) | −96.9098 | − | 85.2254i | −0.556953 | − | 0.489801i | ||||
\(175\) | −161.249 | + | 16.9480i | −0.921425 | + | 0.0968457i | ||||
\(176\) | −5.02419 | + | 30.6222i | −0.0285465 | + | 0.173990i | ||||
\(177\) | 234.040 | − | 104.201i | 1.32226 | − | 0.588707i | ||||
\(178\) | −260.427 | − | 184.593i | −1.46307 | − | 1.03704i | ||||
\(179\) | −38.8966 | + | 87.3633i | −0.217300 | + | 0.488063i | −0.988999 | − | 0.147925i | \(-0.952741\pi\) |
0.771699 | + | 0.635988i | \(0.219407\pi\) | |||||||
\(180\) | −1.38857 | − | 2.28010i | −0.00771427 | − | 0.0126672i | ||||
\(181\) | −40.2967 | + | 69.7960i | −0.222634 | + | 0.385613i | −0.955607 | − | 0.294644i | \(-0.904799\pi\) |
0.732973 | + | 0.680258i | \(0.238132\pi\) | |||||||
\(182\) | −95.4022 | − | 128.129i | −0.524188 | − | 0.704005i | ||||
\(183\) | 11.7426 | + | 55.2444i | 0.0641669 | + | 0.301882i | ||||
\(184\) | −57.1475 | + | 20.8134i | −0.310584 | + | 0.113116i | ||||
\(185\) | 56.8138 | 0.307102 | ||||||||
\(186\) | −142.628 | + | 123.073i | −0.766819 | + | 0.661685i | ||||
\(187\) | 22.1887i | 0.118656i | ||||||||
\(188\) | −214.802 | + | 75.3961i | −1.14256 | + | 0.401043i | ||||
\(189\) | −252.043 | + | 53.5733i | −1.33356 | + | 0.283457i | ||||
\(190\) | 9.84913 | + | 13.2278i | 0.0518375 | + | 0.0696198i | ||||
\(191\) | 206.405 | + | 119.168i | 1.08065 | + | 0.623916i | 0.931073 | − | 0.364834i | \(-0.118874\pi\) |
0.149581 | + | 0.988749i | \(0.452208\pi\) | |||||||
\(192\) | −161.173 | + | 108.810i | −0.839445 | + | 0.566719i | ||||
\(193\) | −74.7563 | − | 33.2836i | −0.387338 | − | 0.172454i | 0.203823 | − | 0.979008i | \(-0.434663\pi\) |
−0.591161 | + | 0.806554i | \(0.701330\pi\) | |||||||
\(194\) | 169.509 | + | 120.150i | 0.873760 | + | 0.619329i | ||||
\(195\) | 29.2904 | + | 65.7873i | 0.150207 | + | 0.337371i | ||||
\(196\) | 175.148 | + | 32.9640i | 0.893613 | + | 0.168184i | ||||
\(197\) | 17.3249 | + | 164.835i | 0.0879436 | + | 0.836728i | 0.946217 | + | 0.323534i | \(0.104871\pi\) |
−0.858273 | + | 0.513194i | \(0.828462\pi\) | |||||||
\(198\) | 0.677354 | + | 0.595686i | 0.00342098 | + | 0.00300851i | ||||
\(199\) | −93.3008 | + | 84.0084i | −0.468848 | + | 0.422153i | −0.869391 | − | 0.494125i | \(-0.835488\pi\) |
0.400542 | + | 0.916278i | \(0.368822\pi\) | |||||||
\(200\) | 9.32686 | − | 133.778i | 0.0466343 | − | 0.668891i | ||||
\(201\) | 92.6337 | − | 285.097i | 0.460864 | − | 1.41839i | ||||
\(202\) | 36.2353 | − | 116.128i | 0.179382 | − | 0.574892i | ||||
\(203\) | −204.282 | − | 21.4709i | −1.00631 | − | 0.105768i | ||||
\(204\) | −101.127 | + | 95.4352i | −0.495723 | + | 0.467820i | ||||
\(205\) | −59.5227 | + | 66.1066i | −0.290355 | + | 0.322471i | ||||
\(206\) | −185.321 | + | 21.6738i | −0.899615 | + | 0.105213i | ||||
\(207\) | −0.367568 | + | 1.72927i | −0.00177569 | + | 0.00835397i | ||||
\(208\) | 118.054 | − | 59.3299i | 0.567569 | − | 0.285240i | ||||
\(209\) | −4.50808 | − | 3.27531i | −0.0215698 | − | 0.0156714i | ||||
\(210\) | −154.907 | − | 66.8078i | −0.737653 | − | 0.318132i | ||||
\(211\) | −35.8935 | + | 20.7231i | −0.170112 | + | 0.0982139i | −0.582638 | − | 0.812731i | \(-0.697980\pi\) |
0.412527 | + | 0.910945i | \(0.364646\pi\) | |||||||
\(212\) | −174.295 | + | 318.902i | −0.822148 | + | 1.50425i | ||||
\(213\) | 0.392933 | − | 0.285482i | 0.00184475 | − | 0.00134029i | ||||
\(214\) | 73.1914 | + | 325.554i | 0.342016 | + | 1.52128i | ||||
\(215\) | −151.811 | + | 49.3264i | −0.706098 | + | 0.229425i | ||||
\(216\) | −7.48187 | − | 212.989i | −0.0346383 | − | 0.986059i | ||||
\(217\) | −71.9289 | + | 291.090i | −0.331470 | + | 1.34143i | ||||
\(218\) | 275.838 | − | 3.22870i | 1.26531 | − | 0.0148105i | ||||
\(219\) | 43.5190 | − | 14.1402i | 0.198717 | − | 0.0645670i | ||||
\(220\) | −5.13776 | − | 21.6646i | −0.0233535 | − | 0.0984755i | ||||
\(221\) | 76.4308 | − | 55.5302i | 0.345841 | − | 0.251268i | ||||
\(222\) | −104.878 | − | 58.9253i | −0.472422 | − | 0.265429i | ||||
\(223\) | −229.553 | + | 132.533i | −1.02939 | + | 0.594316i | −0.916809 | − | 0.399327i | \(-0.869244\pi\) |
−0.112577 | + | 0.993643i | \(0.535911\pi\) | |||||||
\(224\) | −109.138 | + | 289.638i | −0.487225 | + | 1.29303i | ||||
\(225\) | −3.15363 | − | 2.29125i | −0.0140161 | − | 0.0101833i | ||||
\(226\) | 92.3183 | − | 42.4044i | 0.408488 | − | 0.187630i | ||||
\(227\) | 4.72010 | − | 22.2063i | 0.0207934 | − | 0.0978253i | −0.966527 | − | 0.256564i | \(-0.917409\pi\) |
0.987321 | + | 0.158739i | \(0.0507428\pi\) | |||||||
\(228\) | −4.46199 | − | 34.6335i | −0.0195701 | − | 0.151901i | ||||
\(229\) | −228.582 | + | 253.866i | −0.998175 | + | 1.10859i | −0.00408919 | + | 0.999992i | \(0.501302\pi\) |
−0.994086 | + | 0.108594i | \(0.965365\pi\) | |||||||
\(230\) | 32.0859 | − | 29.5776i | 0.139504 | − | 0.128598i | ||||
\(231\) | 56.6885 | + | 5.95820i | 0.245405 | + | 0.0257931i | ||||
\(232\) | 46.7945 | − | 163.319i | 0.201700 | − | 0.703963i | ||||
\(233\) | −112.254 | + | 345.483i | −0.481778 | + | 1.48276i | 0.354816 | + | 0.934936i | \(0.384543\pi\) |
−0.836594 | + | 0.547824i | \(0.815457\pi\) | |||||||
\(234\) | 0.356718 | − | 3.82399i | 0.00152444 | − | 0.0163418i | ||||
\(235\) | 121.386 | − | 109.296i | 0.516536 | − | 0.465091i | ||||
\(236\) | 255.843 | + | 219.740i | 1.08408 | + | 0.931100i | ||||
\(237\) | −47.8162 | − | 454.940i | −0.201756 | − | 1.91958i | ||||
\(238\) | −43.4773 | + | 217.003i | −0.182678 | + | 0.911779i | ||||
\(239\) | −84.3746 | − | 189.508i | −0.353032 | − | 0.792922i | −0.999549 | − | 0.0300231i | \(-0.990442\pi\) |
0.646517 | − | 0.762899i | \(-0.276225\pi\) | |||||||
\(240\) | 76.6410 | − | 116.597i | 0.319337 | − | 0.485821i | ||||
\(241\) | 252.237 | + | 112.303i | 1.04663 | + | 0.465988i | 0.856703 | − | 0.515810i | \(-0.172509\pi\) |
0.189924 | + | 0.981799i | \(0.439176\pi\) | |||||||
\(242\) | −119.607 | − | 201.677i | −0.494244 | − | 0.833375i | ||||
\(243\) | −10.8723 | − | 6.27712i | −0.0447419 | − | 0.0258318i | ||||
\(244\) | −59.1113 | + | 45.0980i | −0.242259 | + | 0.184828i | ||||
\(245\) | −125.082 | + | 26.5871i | −0.510540 | + | 0.108519i | ||||
\(246\) | 178.442 | − | 60.2972i | 0.725373 | − | 0.245111i | ||||
\(247\) | 23.7254i | 0.0960542i | ||||||||
\(248\) | −226.791 | − | 100.348i | −0.914480 | − | 0.404631i | ||||
\(249\) | 368.404 | 1.47953 | ||||||||
\(250\) | 76.7416 | + | 227.107i | 0.306966 | + | 0.908427i | ||||
\(251\) | 28.3760 | + | 133.498i | 0.113052 | + | 0.531866i | 0.997829 | + | 0.0658528i | \(0.0209768\pi\) |
−0.884778 | + | 0.466013i | \(0.845690\pi\) | |||||||
\(252\) | 5.45725 | + | 7.15298i | 0.0216558 | + | 0.0283849i | ||||
\(253\) | −7.37239 | + | 12.7694i | −0.0291399 | + | 0.0504718i | ||||
\(254\) | 154.316 | − | 91.5189i | 0.607541 | − | 0.360310i | ||||
\(255\) | 40.5797 | − | 91.1436i | 0.159136 | − | 0.357426i | ||||
\(256\) | −220.270 | − | 130.449i | −0.860431 | − | 0.509568i | ||||
\(257\) | −40.7515 | + | 18.1437i | −0.158566 | + | 0.0705981i | −0.484485 | − | 0.874800i | \(-0.660993\pi\) |
0.325919 | + | 0.945398i | \(0.394326\pi\) | |||||||
\(258\) | 331.401 | + | 66.3972i | 1.28450 | + | 0.257353i | ||||
\(259\) | −190.421 | + | 20.0141i | −0.735218 | + | 0.0772745i | ||||
\(260\) | −61.7676 | + | 71.9160i | −0.237568 | + | 0.276600i | ||||
\(261\) | −3.30442 | − | 3.66993i | −0.0126606 | − | 0.0140610i | ||||
\(262\) | −55.5738 | − | 5.18417i | −0.212114 | − | 0.0197869i | ||||
\(263\) | 44.4899 | + | 14.4556i | 0.169163 | + | 0.0549644i | 0.392374 | − | 0.919806i | \(-0.371654\pi\) |
−0.223211 | + | 0.974770i | \(0.571654\pi\) | |||||||
\(264\) | −12.9855 | + | 45.3213i | −0.0491876 | + | 0.171672i | ||||
\(265\) | 27.2569 | − | 259.332i | 0.102856 | − | 0.978611i | ||||
\(266\) | −37.6709 | − | 40.8656i | −0.141620 | − | 0.153630i | ||||
\(267\) | −360.399 | − | 324.505i | −1.34981 | − | 1.21537i | ||||
\(268\) | 391.391 | − | 50.4248i | 1.46042 | − | 0.188152i | ||||
\(269\) | 120.437 | + | 25.5996i | 0.447720 | + | 0.0951658i | 0.426254 | − | 0.904604i | \(-0.359833\pi\) |
0.0214665 | + | 0.999770i | \(0.493166\pi\) | |||||||
\(270\) | 63.8272 | + | 138.958i | 0.236397 | + | 0.514659i | ||||
\(271\) | 60.1299 | − | 82.7617i | 0.221882 | − | 0.305394i | −0.683535 | − | 0.729918i | \(-0.739558\pi\) |
0.905417 | + | 0.424524i | \(0.139558\pi\) | |||||||
\(272\) | −170.525 | − | 66.5449i | −0.626929 | − | 0.244650i | ||||
\(273\) | −121.347 | − | 210.179i | −0.444495 | − | 0.769887i | ||||
\(274\) | −149.435 | + | 265.970i | −0.545382 | + | 0.970692i | ||||
\(275\) | −19.1096 | − | 26.3021i | −0.0694895 | − | 0.0956440i | ||||
\(276\) | −89.9070 | + | 21.3215i | −0.325750 | + | 0.0772517i | ||||
\(277\) | 36.5178 | + | 112.390i | 0.131833 | + | 0.405741i | 0.995084 | − | 0.0990342i | \(-0.0315753\pi\) |
−0.863251 | + | 0.504775i | \(0.831575\pi\) | |||||||
\(278\) | −1.24658 | − | 106.499i | −0.00448411 | − | 0.383091i | ||||
\(279\) | −5.96795 | + | 4.04366i | −0.0213905 | + | 0.0144934i | ||||
\(280\) | −7.79648 | − | 221.945i | −0.0278446 | − | 0.792660i | ||||
\(281\) | −112.228 | − | 345.402i | −0.399388 | − | 1.22919i | −0.925491 | − | 0.378769i | \(-0.876348\pi\) |
0.526104 | − | 0.850420i | \(-0.323652\pi\) | |||||||
\(282\) | −337.435 | + | 75.8626i | −1.19658 | + | 0.269016i | ||||
\(283\) | −273.444 | − | 376.363i | −0.966232 | − | 1.32990i | −0.943927 | − | 0.330153i | \(-0.892900\pi\) |
−0.0223047 | − | 0.999751i | \(-0.507100\pi\) | |||||||
\(284\) | 0.561051 | + | 0.306642i | 0.00197553 | + | 0.00107973i | ||||
\(285\) | 12.5276 | + | 21.6985i | 0.0439565 | + | 0.0761350i | ||||
\(286\) | 12.6850 | − | 29.4127i | 0.0443532 | − | 0.102842i | ||||
\(287\) | 176.213 | − | 242.536i | 0.613982 | − | 0.845074i | ||||
\(288\) | −6.60939 | + | 3.41912i | −0.0229493 | + | 0.0118719i | ||||
\(289\) | 154.658 | + | 32.8737i | 0.535150 | + | 0.113750i | ||||
\(290\) | 14.1599 | + | 121.073i | 0.0488272 | + | 0.417494i | ||||
\(291\) | 234.581 | + | 211.217i | 0.806119 | + | 0.725833i | ||||
\(292\) | 41.3440 | + | 43.8100i | 0.141589 | + | 0.150034i | ||||
\(293\) | 33.1081 | − | 315.003i | 0.112997 | − | 1.07509i | −0.780232 | − | 0.625491i | \(-0.784899\pi\) |
0.893228 | − | 0.449603i | \(-0.148435\pi\) | |||||||
\(294\) | 258.476 | + | 80.6517i | 0.879169 | + | 0.274325i | ||||
\(295\) | −230.140 | − | 74.7771i | −0.780137 | − | 0.253482i | ||||
\(296\) | 11.0142 | − | 157.980i | 0.0372101 | − | 0.533717i | ||||
\(297\) | −34.5724 | − | 38.3965i | −0.116405 | − | 0.129281i | ||||
\(298\) | 175.504 | − | 199.566i | 0.588940 | − | 0.669683i | ||||
\(299\) | 62.4355 | − | 6.56224i | 0.208814 | − | 0.0219473i | ||||
\(300\) | 37.6830 | − | 200.221i | 0.125610 | − | 0.667405i | ||||
\(301\) | 491.445 | − | 218.805i | 1.63271 | − | 0.726928i | ||||
\(302\) | −305.536 | + | 431.055i | −1.01171 | + | 1.42734i | ||||
\(303\) | 75.1721 | − | 168.839i | 0.248093 | − | 0.557225i | ||||
\(304\) | 38.6914 | − | 24.8228i | 0.127274 | − | 0.0816538i | ||||
\(305\) | 26.6735 | − | 46.1999i | 0.0874542 | − | 0.151475i | ||||
\(306\) | −4.26777 | + | 3.17769i | −0.0139470 | + | 0.0103846i | ||||
\(307\) | −70.3201 | − | 330.830i | −0.229056 | − | 1.07762i | −0.930895 | − | 0.365287i | \(-0.880971\pi\) |
0.701839 | − | 0.712336i | \(-0.252363\pi\) | |||||||
\(308\) | 24.8520 | + | 70.8028i | 0.0806884 | + | 0.229879i | ||||
\(309\) | −283.468 | −0.917373 | ||||||||
\(310\) | 177.903 | + | 3.75525i | 0.573880 | + | 0.0121137i | ||||
\(311\) | 181.418i | 0.583338i | 0.956519 | + | 0.291669i | \(0.0942106\pi\) | ||||
−0.956519 | + | 0.291669i | \(0.905789\pi\) | |||||||
\(312\) | 188.611 | − | 68.6930i | 0.604522 | − | 0.220170i | ||||
\(313\) | −252.995 | + | 53.7758i | −0.808292 | + | 0.171808i | −0.593481 | − | 0.804848i | \(-0.702247\pi\) |
−0.214811 | + | 0.976656i | \(0.568914\pi\) | |||||||
\(314\) | −150.667 | + | 112.184i | −0.479832 | + | 0.357273i | ||||
\(315\) | −5.59060 | − | 3.22773i | −0.0177479 | − | 0.0102468i | ||||
\(316\) | 514.328 | − | 313.224i | 1.62762 | − | 0.991215i | ||||
\(317\) | 508.219 | + | 226.274i | 1.60322 | + | 0.713797i | 0.996692 | − | 0.0812686i | \(-0.0258972\pi\) |
0.606523 | + | 0.795066i | \(0.292564\pi\) | |||||||
\(318\) | −319.286 | + | 450.454i | −1.00404 | + | 1.41652i | ||||
\(319\) | −16.7524 | − | 37.6266i | −0.0525155 | − | 0.117952i | ||||
\(320\) | 181.905 | + | 25.4884i | 0.568455 | + | 0.0796511i | ||||
\(321\) | 52.9902 | + | 504.168i | 0.165079 | + | 1.57062i | ||||
\(322\) | −97.1221 | + | 110.437i | −0.301621 | + | 0.342973i | ||||
\(323\) | 24.4270 | − | 21.9942i | 0.0756255 | − | 0.0680935i | ||||
\(324\) | 26.9780 | − | 331.058i | 0.0832655 | − | 1.02178i | ||||
\(325\) | −42.7754 | + | 131.649i | −0.131617 | + | 0.405074i | ||||
\(326\) | 460.501 | + | 143.689i | 1.41258 | + | 0.440764i | ||||
\(327\) | 416.801 | + | 43.8076i | 1.27462 | + | 0.133968i | ||||
\(328\) | 172.281 | + | 178.329i | 0.525248 | + | 0.543685i | ||||
\(329\) | −368.344 | + | 409.087i | −1.11959 | + | 1.24343i | ||||
\(330\) | −3.92939 | − | 33.5979i | −0.0119072 | − | 0.101812i | ||||
\(331\) | −27.9521 | + | 131.504i | −0.0844474 | + | 0.397294i | −0.999988 | − | 0.00493224i | \(-0.998430\pi\) |
0.915540 | + | 0.402226i | \(0.131763\pi\) | |||||||
\(332\) | 207.576 | + | 438.313i | 0.625228 | + | 1.32022i | ||||
\(333\) | −3.72416 | − | 2.70576i | −0.0111837 | − | 0.00812541i | ||||
\(334\) | −85.9045 | + | 199.187i | −0.257199 | + | 0.596368i | ||||
\(335\) | −245.213 | + | 141.574i | −0.731981 | + | 0.422609i | ||||
\(336\) | −215.801 | + | 417.794i | −0.642266 | + | 1.24343i | ||||
\(337\) | −88.0910 | + | 64.0018i | −0.261398 | + | 0.189916i | −0.710763 | − | 0.703432i | \(-0.751650\pi\) |
0.449365 | + | 0.893348i | \(0.351650\pi\) | |||||||
\(338\) | 196.708 | − | 44.2241i | 0.581977 | − | 0.130841i | ||||
\(339\) | 146.789 | − | 47.6947i | 0.433006 | − | 0.140692i | ||||
\(340\) | 131.303 | − | 3.07425i | 0.386187 | − | 0.00904191i | ||||
\(341\) | −57.7598 | + | 16.6935i | −0.169384 | + | 0.0489545i | ||||
\(342\) | −0.0156397 | − | 1.33615i | −4.57301e−5 | − | 0.00390687i | ||||
\(343\) | −40.8825 | + | 13.2835i | −0.119191 | + | 0.0387275i | ||||
\(344\) | 107.730 | + | 431.699i | 0.313167 | + | 1.25494i | ||||
\(345\) | 53.6365 | − | 38.9692i | 0.155468 | − | 0.112954i | ||||
\(346\) | 243.310 | − | 433.054i | 0.703209 | − | 1.25160i | ||||
\(347\) | 146.866 | − | 84.7929i | 0.423244 | − | 0.244360i | −0.273220 | − | 0.961951i | \(-0.588089\pi\) |
0.696464 | + | 0.717592i | \(0.254756\pi\) | |||||||
\(348\) | 99.4339 | − | 238.186i | 0.285730 | − | 0.684442i | ||||
\(349\) | −357.696 | − | 259.881i | −1.02492 | − | 0.744645i | −0.0576317 | − | 0.998338i | \(-0.518355\pi\) |
−0.967285 | + | 0.253692i | \(0.918355\pi\) | |||||||
\(350\) | −135.353 | − | 294.676i | −0.386723 | − | 0.841932i | ||||
\(351\) | −45.7379 | + | 215.180i | −0.130307 | + | 0.613048i | ||||
\(352\) | −61.2381 | + | 10.0864i | −0.173972 | + | 0.0286546i | ||||
\(353\) | −205.801 | + | 228.565i | −0.583006 | + | 0.647494i | −0.960422 | − | 0.278550i | \(-0.910146\pi\) |
0.377415 | + | 0.926044i | \(0.376813\pi\) | |||||||
\(354\) | 347.280 | + | 376.731i | 0.981017 | + | 1.06421i | ||||
\(355\) | −0.456249 | − | 0.0479537i | −0.00128521 | − | 0.000135081i | ||||
\(356\) | 183.018 | − | 611.629i | 0.514095 | − | 1.71806i | ||||
\(357\) | −103.902 | + | 319.779i | −0.291043 | + | 0.895739i | ||||
\(358\) | −190.435 | − | 17.7646i | −0.531942 | − | 0.0496219i | ||||
\(359\) | 379.171 | − | 341.407i | 1.05619 | − | 0.950994i | 0.0573081 | − | 0.998357i | \(-0.481748\pi\) |
0.998878 | + | 0.0473625i | \(0.0150816\pi\) | |||||||
\(360\) | 3.43117 | − | 4.09083i | 0.00953104 | − | 0.0113634i | ||||
\(361\) | −36.8719 | − | 350.813i | −0.102138 | − | 0.971781i | ||||
\(362\) | −158.046 | − | 31.6650i | −0.436591 | − | 0.0874724i | ||||
\(363\) | −144.892 | − | 325.432i | −0.399151 | − | 0.896508i | ||||
\(364\) | 181.691 | − | 262.798i | 0.499150 | − | 0.721974i | ||||
\(365\) | −39.4848 | − | 17.5798i | −0.108177 | − | 0.0481637i | ||||
\(366\) | −97.1560 | + | 57.6196i | −0.265453 | + | 0.157431i | ||||
\(367\) | 63.9694 | + | 36.9328i | 0.174304 | + | 0.100634i | 0.584614 | − | 0.811312i | \(-0.301246\pi\) |
−0.410310 | + | 0.911946i | \(0.634579\pi\) | |||||||
\(368\) | −76.0251 | − | 94.9543i | −0.206590 | − | 0.258028i | ||||
\(369\) | 7.05006 | − | 1.49854i | 0.0191059 | − | 0.00406108i | ||||
\(370\) | 36.3753 | + | 107.648i | 0.0983116 | + | 0.290940i | ||||
\(371\) | 878.799i | 2.36873i | ||||||||
\(372\) | −324.512 | − | 191.447i | −0.872343 | − | 0.514642i | ||||
\(373\) | 287.849 | 0.771713 | 0.385857 | − | 0.922559i | \(-0.373906\pi\) | ||||
0.385857 | + | 0.922559i | \(0.373906\pi\) | |||||||
\(374\) | −42.0420 | + | 14.2064i | −0.112412 | + | 0.0379851i | ||||
\(375\) | 75.7212 | + | 356.240i | 0.201923 | + | 0.949975i | ||||
\(376\) | −280.385 | − | 358.723i | −0.745704 | − | 0.954050i | ||||
\(377\) | −87.6826 | + | 151.871i | −0.232580 | + | 0.402840i | ||||
\(378\) | −262.879 | − | 443.257i | −0.695448 | − | 1.17264i | ||||
\(379\) | 252.415 | − | 566.933i | 0.666003 | − | 1.49587i | −0.191557 | − | 0.981482i | \(-0.561354\pi\) |
0.857559 | − | 0.514385i | \(-0.171980\pi\) | |||||||
\(380\) | −18.7574 | + | 27.1308i | −0.0493614 | + | 0.0713967i | ||||
\(381\) | 249.009 | − | 110.866i | 0.653566 | − | 0.290986i | ||||
\(382\) | −93.6416 | + | 467.383i | −0.245135 | + | 1.22352i | ||||
\(383\) | −680.335 | + | 71.5061i | −1.77633 | + | 0.186700i | −0.935198 | − | 0.354126i | \(-0.884778\pi\) |
−0.841134 | + | 0.540826i | \(0.818112\pi\) | |||||||
\(384\) | −309.360 | − | 235.717i | −0.805624 | − | 0.613847i | ||||
\(385\) | −36.0262 | − | 40.0111i | −0.0935745 | − | 0.103925i | ||||
\(386\) | 15.2011 | − | 162.954i | 0.0393811 | − | 0.422162i | ||||
\(387\) | 12.3004 | + | 3.99665i | 0.0317840 | + | 0.0103273i | ||||
\(388\) | −119.125 | + | 398.104i | −0.307023 | + | 1.02604i | ||||
\(389\) | 9.27630 | − | 88.2581i | 0.0238465 | − | 0.226884i | −0.976107 | − | 0.217288i | \(-0.930279\pi\) |
0.999954 | − | 0.00959602i | \(-0.00305455\pi\) | |||||||
\(390\) | −105.897 | + | 97.6185i | −0.271531 | + | 0.250304i | ||||
\(391\) | −64.6361 | − | 58.1986i | −0.165310 | − | 0.148846i | ||||
\(392\) | 49.6808 | + | 352.967i | 0.126737 | + | 0.900426i | ||||
\(393\) | −82.9443 | − | 17.6303i | −0.211054 | − | 0.0448609i | ||||
\(394\) | −301.229 | + | 138.363i | −0.764541 | + | 0.351175i | ||||
\(395\) | −253.972 | + | 349.563i | −0.642967 | + | 0.884969i | ||||
\(396\) | −0.694996 | + | 1.66481i | −0.00175504 | + | 0.00420406i | ||||
\(397\) | −275.649 | − | 477.439i | −0.694331 | − | 1.20262i | −0.970406 | − | 0.241481i | \(-0.922367\pi\) |
0.276074 | − | 0.961136i | \(-0.410966\pi\) | |||||||
\(398\) | −218.911 | − | 122.995i | −0.550028 | − | 0.309032i | ||||
\(399\) | −49.6323 | − | 68.3130i | −0.124392 | − | 0.171211i | ||||
\(400\) | 259.448 | − | 67.9801i | 0.648620 | − | 0.169950i | ||||
\(401\) | −166.487 | − | 512.394i | −0.415179 | − | 1.27779i | −0.912091 | − | 0.409989i | \(-0.865533\pi\) |
0.496912 | − | 0.867801i | \(-0.334467\pi\) | |||||||
\(402\) | 599.497 | − | 7.01715i | 1.49129 | − | 0.0174556i | ||||
\(403\) | 202.054 | + | 157.181i | 0.501374 | + | 0.390026i | ||||
\(404\) | 243.234 | − | 5.69491i | 0.602063 | − | 0.0140963i | ||||
\(405\) | 73.6464 | + | 226.660i | 0.181843 | + | 0.559655i | ||||
\(406\) | −90.1104 | − | 400.810i | −0.221947 | − | 0.987216i | ||||
\(407\) | −22.5668 | − | 31.0605i | −0.0554466 | − | 0.0763157i | ||||
\(408\) | −245.573 | − | 130.508i | −0.601895 | − | 0.319873i | ||||
\(409\) | 47.3010 | + | 81.9277i | 0.115650 | + | 0.200312i | 0.918039 | − | 0.396489i | \(-0.129771\pi\) |
−0.802389 | + | 0.596801i | \(0.796438\pi\) | |||||||
\(410\) | −163.365 | − | 70.4555i | −0.398452 | − | 0.171843i | ||||
\(411\) | −272.430 | + | 374.968i | −0.662848 | + | 0.912331i | ||||
\(412\) | −159.719 | − | 337.259i | −0.387667 | − | 0.818591i | ||||
\(413\) | 797.698 | + | 169.556i | 1.93147 | + | 0.410547i | ||||
\(414\) | −3.51187 | + | 0.410725i | −0.00848278 | + | 0.000992089i | ||||
\(415\) | −258.598 | − | 232.843i | −0.623127 | − | 0.561066i | ||||
\(416\) | 188.000 | + | 185.697i | 0.451923 | + | 0.446387i | ||||
\(417\) | 16.9138 | − | 160.924i | 0.0405608 | − | 0.385910i | ||||
\(418\) | 3.31958 | − | 10.6387i | 0.00794158 | − | 0.0254515i | ||||
\(419\) | 200.856 | + | 65.2621i | 0.479370 | + | 0.155757i | 0.538728 | − | 0.842480i | \(-0.318905\pi\) |
−0.0593576 | + | 0.998237i | \(0.518905\pi\) | |||||||
\(420\) | 27.4039 | − | 336.284i | 0.0652474 | − | 0.800677i | ||||
\(421\) | −41.1053 | − | 45.6521i | −0.0976374 | − | 0.108437i | 0.692346 | − | 0.721566i | \(-0.256577\pi\) |
−0.789983 | + | 0.613129i | \(0.789911\pi\) | |||||||
\(422\) | −62.2461 | − | 54.7412i | −0.147503 | − | 0.129718i | ||||
\(423\) | −13.1621 | + | 1.38340i | −0.0311161 | + | 0.00327044i | ||||
\(424\) | −715.832 | − | 126.068i | −1.68828 | − | 0.297330i | ||||
\(425\) | 175.197 | − | 78.0026i | 0.412228 | − | 0.183536i | ||||
\(426\) | 0.792494 | + | 0.561727i | 0.00186031 | + | 0.00131861i | ||||
\(427\) | −73.1259 | + | 164.244i | −0.171255 | + | 0.384645i | ||||
\(428\) | −569.982 | + | 347.117i | −1.33173 | + | 0.811020i | ||||
\(429\) | 24.3320 | − | 42.1443i | 0.0567180 | − | 0.0982385i | ||||
\(430\) | −190.659 | − | 256.062i | −0.443392 | − | 0.595494i | ||||
\(431\) | 18.2275 | + | 85.7538i | 0.0422913 | + | 0.198965i | 0.994221 | − | 0.107351i | \(-0.0342369\pi\) |
−0.951930 | + | 0.306316i | \(0.900904\pi\) | |||||||
\(432\) | 398.770 | − | 150.543i | 0.923078 | − | 0.348480i | ||||
\(433\) | −302.391 | −0.698362 | −0.349181 | − | 0.937055i | \(-0.613540\pi\) | ||||
−0.349181 | + | 0.937055i | \(0.613540\pi\) | |||||||
\(434\) | −597.595 | + | 50.0843i | −1.37695 | + | 0.115402i | ||||
\(435\) | 185.195i | 0.425735i | ||||||||
\(436\) | 182.724 | + | 520.577i | 0.419092 | + | 1.19398i | ||||
\(437\) | 21.3653 | − | 4.54133i | 0.0488908 | − | 0.0103921i | ||||
\(438\) | 54.6553 | + | 73.4043i | 0.124784 | + | 0.167590i | ||||
\(439\) | 331.814 | + | 191.573i | 0.755841 | + | 0.436385i | 0.827801 | − | 0.561022i | \(-0.189592\pi\) |
−0.0719593 | + | 0.997408i | \(0.522925\pi\) | |||||||
\(440\) | 37.7595 | − | 23.6056i | 0.0858171 | − | 0.0536492i | ||||
\(441\) | 9.46539 | + | 4.21427i | 0.0214635 | + | 0.00955616i | ||||
\(442\) | 154.151 | + | 109.264i | 0.348758 | + | 0.247203i | ||||
\(443\) | 76.8648 | + | 172.641i | 0.173510 | + | 0.389709i | 0.979278 | − | 0.202522i | \(-0.0649139\pi\) |
−0.805768 | + | 0.592231i | \(0.798247\pi\) | |||||||
\(444\) | 44.5003 | − | 236.444i | 0.100226 | − | 0.532531i | ||||
\(445\) | 47.8820 | + | 455.567i | 0.107600 | + | 1.02375i | ||||
\(446\) | −398.088 | − | 350.091i | −0.892575 | − | 0.784957i | ||||
\(447\) | 300.049 | − | 270.166i | 0.671252 | − | 0.604398i | ||||
\(448\) | −618.667 | − | 21.3479i | −1.38095 | − | 0.0476516i | ||||
\(449\) | −5.83988 | + | 17.9733i | −0.0130064 | + | 0.0400296i | −0.957349 | − | 0.288934i | \(-0.906699\pi\) |
0.944343 | + | 0.328963i | \(0.106699\pi\) | |||||||
\(450\) | 2.32221 | − | 7.44232i | 0.00516047 | − | 0.0165385i | ||||
\(451\) | 59.7837 | + | 6.28352i | 0.132558 | + | 0.0139324i | ||||
\(452\) | 139.453 | + | 147.771i | 0.308524 | + | 0.326926i | ||||
\(453\) | −537.117 | + | 596.529i | −1.18569 | + | 1.31684i | ||||
\(454\) | 45.0975 | − | 5.27430i | 0.0993337 | − | 0.0116174i | ||||
\(455\) | −47.6612 | + | 224.228i | −0.104750 | + | 0.492810i | ||||
\(456\) | 62.7649 | − | 30.6286i | 0.137642 | − | 0.0671679i | ||||
\(457\) | −169.668 | − | 123.271i | −0.371264 | − | 0.269739i | 0.386471 | − | 0.922302i | \(-0.373694\pi\) |
−0.757735 | + | 0.652563i | \(0.773694\pi\) | |||||||
\(458\) | −627.363 | − | 270.567i | −1.36979 | − | 0.590757i | ||||
\(459\) | 263.944 | − | 152.388i | 0.575042 | − | 0.332001i | ||||
\(460\) | 76.5852 | + | 41.8576i | 0.166490 | + | 0.0909947i | ||||
\(461\) | −159.535 | + | 115.909i | −0.346064 | + | 0.251430i | −0.747216 | − | 0.664581i | \(-0.768610\pi\) |
0.401152 | + | 0.916011i | \(0.368610\pi\) | |||||||
\(462\) | 25.0058 | + | 111.225i | 0.0541250 | + | 0.240747i | ||||
\(463\) | 563.153 | − | 182.980i | 1.21631 | − | 0.395204i | 0.370576 | − | 0.928802i | \(-0.379160\pi\) |
0.845738 | + | 0.533598i | \(0.179160\pi\) | |||||||
\(464\) | 339.409 | − | 15.9021i | 0.731486 | − | 0.0342718i | ||||
\(465\) | 267.787 | + | 37.0626i | 0.575887 | + | 0.0797046i | ||||
\(466\) | −726.475 | + | 8.50343i | −1.55896 | + | 0.0182477i | ||||
\(467\) | 479.805 | − | 155.898i | 1.02742 | − | 0.333829i | 0.253650 | − | 0.967296i | \(-0.418369\pi\) |
0.773770 | + | 0.633467i | \(0.218369\pi\) | |||||||
\(468\) | 7.47389 | − | 1.77243i | 0.0159698 | − | 0.00378725i | ||||
\(469\) | 772.003 | − | 560.893i | 1.64606 | − | 1.19593i | ||||
\(470\) | 284.807 | + | 160.018i | 0.605973 | + | 0.340465i | ||||
\(471\) | −247.150 | + | 142.692i | −0.524736 | + | 0.302956i | ||||
\(472\) | −252.547 | + | 625.448i | −0.535056 | + | 1.32510i | ||||
\(473\) | 87.2672 | + | 63.4033i | 0.184497 | + | 0.134045i | ||||
\(474\) | 831.384 | − | 381.877i | 1.75397 | − | 0.805648i | ||||
\(475\) | −10.0133 | + | 47.1089i | −0.0210806 | + | 0.0991766i | ||||
\(476\) | −439.003 | + | 56.5588i | −0.922276 | + | 0.118821i | ||||
\(477\) | −14.1374 | + | 15.7012i | −0.0296382 | + | 0.0329165i | ||||
\(478\) | 305.050 | − | 281.202i | 0.638179 | − | 0.588289i | ||||
\(479\) | −660.287 | − | 69.3989i | −1.37847 | − | 0.144883i | −0.613879 | − | 0.789400i | \(-0.710392\pi\) |
−0.764590 | + | 0.644517i | \(0.777058\pi\) | |||||||
\(480\) | 269.992 | + | 70.5636i | 0.562483 | + | 0.147008i | ||||
\(481\) | −50.5140 | + | 155.466i | −0.105019 | + | 0.323214i | ||||
\(482\) | −51.2905 | + | 549.829i | −0.106412 | + | 1.14072i | ||||
\(483\) | −166.044 | + | 149.507i | −0.343777 | + | 0.309538i | ||||
\(484\) | 305.548 | − | 355.750i | 0.631298 | − | 0.735021i | ||||
\(485\) | −31.1660 | − | 296.524i | −0.0642597 | − | 0.611390i | ||||
\(486\) | 4.93254 | − | 24.6192i | 0.0101493 | − | 0.0506568i | ||||
\(487\) | 219.452 | + | 492.897i | 0.450619 | + | 1.01211i | 0.985885 | + | 0.167424i | \(0.0535449\pi\) |
−0.535265 | + | 0.844684i | \(0.679788\pi\) | |||||||
\(488\) | −123.296 | − | 83.1268i | −0.252655 | − | 0.170342i | ||||
\(489\) | 669.524 | + | 298.091i | 1.36917 | + | 0.609594i | ||||
\(490\) | −130.460 | − | 219.977i | −0.266246 | − | 0.448933i | ||||
\(491\) | −274.202 | − | 158.311i | −0.558457 | − | 0.322425i | 0.194069 | − | 0.980988i | \(-0.437831\pi\) |
−0.752526 | + | 0.658563i | \(0.771165\pi\) | |||||||
\(492\) | 228.496 | + | 299.497i | 0.464423 | + | 0.608733i | ||||
\(493\) | 237.647 | − | 50.5134i | 0.482042 | − | 0.102461i | ||||
\(494\) | −44.9537 | + | 15.1903i | −0.0909993 | + | 0.0307496i | ||||
\(495\) | − | 1.29442i | − | 0.00261500i | ||||||
\(496\) | 44.9312 | − | 493.961i | 0.0905872 | − | 0.995889i | ||||
\(497\) | 1.54609 | 0.00311085 | ||||||||
\(498\) | 235.872 | + | 698.033i | 0.473639 | + | 1.40167i | ||||
\(499\) | 116.621 | + | 548.659i | 0.233710 | + | 1.09952i | 0.925890 | + | 0.377793i | \(0.123317\pi\) |
−0.692180 | + | 0.721725i | \(0.743350\pi\) | |||||||
\(500\) | −381.176 | + | 290.812i | −0.762352 | + | 0.581624i | ||||
\(501\) | −164.780 | + | 285.407i | −0.328901 | + | 0.569674i | ||||
\(502\) | −234.778 | + | 139.238i | −0.467685 | + | 0.277367i | ||||
\(503\) | −149.806 | + | 336.469i | −0.297824 | + | 0.668924i | −0.999030 | − | 0.0440347i | \(-0.985979\pi\) |
0.701206 | + | 0.712959i | \(0.252645\pi\) | |||||||
\(504\) | −10.0591 | + | 14.9199i | −0.0199585 | + | 0.0296029i | ||||
\(505\) | −159.478 | + | 71.0041i | −0.315798 | + | 0.140602i | ||||
\(506\) | −28.9149 | − | 5.79320i | −0.0571442 | − | 0.0114490i | ||||
\(507\) | 304.631 | − | 32.0181i | 0.600851 | − | 0.0631520i | ||||
\(508\) | 272.206 | + | 233.794i | 0.535840 | + | 0.460224i | ||||
\(509\) | −286.340 | − | 318.013i | −0.562555 | − | 0.624780i | 0.393020 | − | 0.919530i | \(-0.371430\pi\) |
−0.955574 | + | 0.294750i | \(0.904764\pi\) | |||||||
\(510\) | 198.676 | + | 18.5333i | 0.389560 | + | 0.0363399i | ||||
\(511\) | 138.533 | + | 45.0121i | 0.271102 | + | 0.0880863i | ||||
\(512\) | 106.140 | − | 500.878i | 0.207304 | − | 0.978277i | ||||
\(513\) | −8.00053 | + | 76.1200i | −0.0155956 | + | 0.148382i | ||||
\(514\) | −60.4691 | − | 65.5972i | −0.117644 | − | 0.127621i | ||||
\(515\) | 198.978 | + | 179.161i | 0.386365 | + | 0.347885i | ||||
\(516\) | 86.3749 | + | 670.433i | 0.167393 | + | 1.29929i | ||||
\(517\) | −107.968 | − | 22.9494i | −0.208836 | − | 0.0443895i | ||||
\(518\) | −159.840 | − | 347.987i | −0.308571 | − | 0.671789i | ||||
\(519\) | 443.573 | − | 610.526i | 0.854669 | − | 1.17635i | ||||
\(520\) | −175.810 | − | 70.9895i | −0.338096 | − | 0.136518i | ||||
\(521\) | −358.490 | − | 620.922i | −0.688080 | − | 1.19179i | −0.972458 | − | 0.233078i | \(-0.925120\pi\) |
0.284378 | − | 0.958712i | \(-0.408213\pi\) | |||||||
\(522\) | 4.83793 | − | 8.61074i | 0.00926807 | − | 0.0164957i | ||||
\(523\) | 29.2995 | + | 40.3273i | 0.0560220 | + | 0.0771077i | 0.836109 | − | 0.548564i | \(-0.184825\pi\) |
−0.780087 | + | 0.625671i | \(0.784825\pi\) | |||||||
\(524\) | −25.7587 | − | 108.618i | −0.0491577 | − | 0.207285i | ||||
\(525\) | −152.239 | − | 468.545i | −0.289980 | − | 0.892466i | ||||
\(526\) | 1.09504 | + | 93.5524i | 0.00208182 | + | 0.177856i | ||||
\(527\) | −25.4814 | − | 353.741i | −0.0483518 | − | 0.671235i | ||||
\(528\) | −94.1866 | + | 4.41286i | −0.178384 | + | 0.00835769i | ||||
\(529\) | 145.610 | + | 448.140i | 0.275254 | + | 0.847146i | ||||
\(530\) | 508.820 | − | 114.394i | 0.960039 | − | 0.215837i | ||||
\(531\) | 11.5245 | + | 15.8621i | 0.0217034 | + | 0.0298722i | ||||
\(532\) | 53.3111 | − | 97.5412i | 0.100209 | − | 0.183348i | ||||
\(533\) | −127.973 | − | 221.655i | −0.240099 | − | 0.415863i | ||||
\(534\) | 384.108 | − | 890.632i | 0.719304 | − | 1.66785i | ||||
\(535\) | 281.454 | − | 387.388i | 0.526081 | − | 0.724089i | ||||
\(536\) | 346.132 | + | 709.304i | 0.645769 | + | 1.32333i | ||||
\(537\) | −284.226 | − | 60.4141i | −0.529285 | − | 0.112503i | ||||
\(538\) | 28.6053 | + | 244.588i | 0.0531697 | + | 0.454624i | ||||
\(539\) | 64.2187 | + | 57.8228i | 0.119144 | + | 0.107278i | ||||
\(540\) | −222.425 | + | 209.905i | −0.411898 | + | 0.388713i | ||||
\(541\) | −71.7266 | + | 682.433i | −0.132582 | + | 1.26143i | 0.702652 | + | 0.711534i | \(0.251999\pi\) |
−0.835233 | + | 0.549895i | \(0.814668\pi\) | |||||||
\(542\) | 195.311 | + | 60.9425i | 0.360353 | + | 0.112440i | ||||
\(543\) | −232.899 | − | 75.6733i | −0.428911 | − | 0.139362i | ||||
\(544\) | 16.9067 | − | 365.707i | 0.0310784 | − | 0.672256i | ||||
\(545\) | −264.882 | − | 294.181i | −0.486022 | − | 0.539782i | ||||
\(546\) | 320.544 | − | 364.490i | 0.587077 | − | 0.667565i | ||||
\(547\) | 47.8759 | − | 5.03196i | 0.0875244 | − | 0.00919919i | −0.0606650 | − | 0.998158i | \(-0.519322\pi\) |
0.148189 | + | 0.988959i | \(0.452655\pi\) | |||||||
\(548\) | −599.622 | − | 112.853i | −1.09420 | − | 0.205936i | ||||
\(549\) | −3.94873 | + | 1.75809i | −0.00719259 | + | 0.00320235i | ||||
\(550\) | 37.6009 | − | 53.0479i | 0.0683653 | − | 0.0964508i | ||||
\(551\) | −24.8167 | + | 55.7391i | −0.0450393 | + | 0.101160i | ||||
\(552\) | −97.9622 | − | 156.700i | −0.177468 | − | 0.283877i | ||||
\(553\) | 728.090 | − | 1261.09i | 1.31662 | − | 2.28045i | ||||
\(554\) | −189.571 | + | 141.151i | −0.342185 | + | 0.254784i | ||||
\(555\) | 35.8916 | + | 168.857i | 0.0646696 | + | 0.304247i | ||||
\(556\) | 200.992 | − | 70.5487i | 0.361496 | − | 0.126886i | ||||
\(557\) | −593.062 | −1.06474 | −0.532372 | − | 0.846511i | \(-0.678699\pi\) | ||||
−0.532372 | + | 0.846511i | \(0.678699\pi\) | |||||||
\(558\) | −11.4827 | − | 8.71879i | −0.0205784 | − | 0.0156251i | ||||
\(559\) | − | 459.275i | − | 0.821600i | ||||||
\(560\) | 415.538 | − | 156.874i | 0.742033 | − | 0.280131i | ||||
\(561\) | −65.9473 | + | 14.0175i | −0.117553 | + | 0.0249867i | ||||
\(562\) | 582.596 | − | 433.789i | 1.03665 | − | 0.771867i | ||||
\(563\) | 58.8466 | + | 33.9751i | 0.104523 | + | 0.0603466i | 0.551350 | − | 0.834274i | \(-0.314113\pi\) |
−0.446827 | + | 0.894620i | \(0.647446\pi\) | |||||||
\(564\) | −359.785 | − | 590.784i | −0.637917 | − | 1.04749i | ||||
\(565\) | −133.182 | − | 59.2963i | −0.235720 | − | 0.104949i | ||||
\(566\) | 538.040 | − | 759.075i | 0.950600 | − | 1.34112i | ||||
\(567\) | −326.685 | − | 733.747i | −0.576165 | − | 1.29409i | ||||
\(568\) | −0.221794 | + | 1.25938i | −0.000390482 | + | 0.00221722i | ||||
\(569\) | 48.0900 | + | 457.546i | 0.0845167 | + | 0.804122i | 0.951885 | + | 0.306456i | \(0.0991431\pi\) |
−0.867368 | + | 0.497667i | \(0.834190\pi\) | |||||||
\(570\) | −33.0923 | + | 37.6292i | −0.0580566 | + | 0.0660162i | ||||
\(571\) | −79.8411 | + | 71.8892i | −0.139827 | + | 0.125901i | −0.736076 | − | 0.676899i | \(-0.763324\pi\) |
0.596250 | + | 0.802799i | \(0.296657\pi\) | |||||||
\(572\) | 63.8514 | + | 5.20327i | 0.111628 | + | 0.00909663i | ||||
\(573\) | −223.786 | + | 688.741i | −0.390551 | + | 1.20199i | ||||
\(574\) | 572.367 | + | 178.594i | 0.997154 | + | 0.311140i | ||||
\(575\) | 126.741 | + | 13.3210i | 0.220419 | + | 0.0231670i | ||||
\(576\) | −10.7101 | − | 10.3340i | −0.0185939 | − | 0.0179410i | ||||
\(577\) | −601.879 | + | 668.454i | −1.04312 | + | 1.15850i | −0.0560116 | + | 0.998430i | \(0.517838\pi\) |
−0.987106 | + | 0.160069i | \(0.948828\pi\) | |||||||
\(578\) | 36.7334 | + | 314.086i | 0.0635526 | + | 0.543402i | ||||
\(579\) | 51.6960 | − | 243.211i | 0.0892850 | − | 0.420053i | ||||
\(580\) | −220.337 | + | 104.347i | −0.379892 | + | 0.179909i | ||||
\(581\) | 948.761 | + | 689.315i | 1.63298 | + | 1.18643i | ||||
\(582\) | −250.013 | + | 579.705i | −0.429575 | + | 0.996056i | ||||
\(583\) | −152.605 | + | 88.1066i | −0.261758 | + | 0.151126i | ||||
\(584\) | −56.5382 | + | 106.386i | −0.0968120 | + | 0.182168i | ||||
\(585\) | −4.45875 | + | 3.23947i | −0.00762180 | + | 0.00553756i | ||||
\(586\) | 618.048 | − | 138.950i | 1.05469 | − | 0.237116i | ||||
\(587\) | −403.477 | + | 131.097i | −0.687354 | + | 0.223335i | −0.631812 | − | 0.775122i | \(-0.717689\pi\) |
−0.0555416 | + | 0.998456i | \(0.517689\pi\) | |||||||
\(588\) | 12.6756 | + | 541.384i | 0.0215572 | + | 0.920722i | ||||
\(589\) | 75.6310 | + | 47.0393i | 0.128406 | + | 0.0798630i | ||||
\(590\) | −5.66448 | − | 483.935i | −0.00960082 | − | 0.820228i | ||||
\(591\) | −478.964 | + | 155.625i | −0.810430 | + | 0.263325i | ||||
\(592\) | 306.385 | − | 80.2785i | 0.517542 | − | 0.135606i | ||||
\(593\) | 127.978 | − | 92.9812i | 0.215814 | − | 0.156798i | −0.474626 | − | 0.880187i | \(-0.657417\pi\) |
0.690440 | + | 0.723389i | \(0.257417\pi\) | |||||||
\(594\) | 50.6167 | − | 90.0896i | 0.0852133 | − | 0.151666i | ||||
\(595\) | 275.043 | − | 158.796i | 0.462258 | − | 0.266885i | ||||
\(596\) | 490.494 | + | 204.763i | 0.822976 | + | 0.343563i | ||||
\(597\) | −308.624 | − | 224.229i | −0.516959 | − | 0.375593i | ||||
\(598\) | 52.4084 | + | 114.098i | 0.0876395 | + | 0.190800i | ||||
\(599\) | 154.306 | − | 725.952i | 0.257606 | − | 1.21194i | −0.639033 | − | 0.769179i | \(-0.720665\pi\) |
0.896639 | − | 0.442762i | \(-0.146001\pi\) | |||||||
\(600\) | 403.496 | − | 56.7929i | 0.672494 | − | 0.0946548i | ||||
\(601\) | −624.804 | + | 693.915i | −1.03961 | + | 1.15460i | −0.0518415 | + | 0.998655i | \(0.516509\pi\) |
−0.987766 | + | 0.155945i | \(0.950158\pi\) | |||||||
\(602\) | 729.231 | + | 791.073i | 1.21135 | + | 1.31408i | ||||
\(603\) | 22.8163 | + | 2.39809i | 0.0378379 | + | 0.00397693i | ||||
\(604\) | −1012.36 | − | 302.929i | −1.67610 | − | 0.501539i | ||||
\(605\) | −103.978 | + | 320.010i | −0.171864 | + | 0.528943i | ||||
\(606\) | 368.037 | + | 34.3321i | 0.607322 | + | 0.0566537i | ||||
\(607\) | −383.521 | + | 345.324i | −0.631830 | + | 0.568902i | −0.921574 | − | 0.388202i | \(-0.873096\pi\) |
0.289745 | + | 0.957104i | \(0.406430\pi\) | |||||||
\(608\) | 71.8053 | + | 57.4177i | 0.118101 | + | 0.0944370i | ||||
\(609\) | −65.2395 | − | 620.712i | −0.107126 | − | 1.01923i | ||||
\(610\) | 104.615 | + | 20.9600i | 0.171500 | + | 0.0343606i | ||||
\(611\) | 191.154 | + | 429.339i | 0.312855 | + | 0.702683i | ||||
\(612\) | −8.75339 | − | 6.05182i | −0.0143029 | − | 0.00988859i | ||||
\(613\) | 913.496 | + | 406.714i | 1.49020 | + | 0.663482i | 0.980438 | − | 0.196830i | \(-0.0630648\pi\) |
0.509767 | + | 0.860312i | \(0.329731\pi\) | |||||||
\(614\) | 581.817 | − | 345.055i | 0.947585 | − | 0.561978i | ||||
\(615\) | −234.079 | − | 135.146i | −0.380617 | − | 0.219749i | ||||
\(616\) | −118.242 | + | 92.4201i | −0.191951 | + | 0.150033i | ||||
\(617\) | 586.017 | − | 124.562i | 0.949784 | − | 0.201883i | 0.293128 | − | 0.956073i | \(-0.405304\pi\) |
0.656656 | + | 0.754190i | \(0.271970\pi\) | |||||||
\(618\) | −181.492 | − | 537.101i | −0.293676 | − | 0.869096i | ||||
\(619\) | − | 1082.97i | − | 1.74955i | −0.484528 | − | 0.874776i | \(-0.661009\pi\) | ||
0.484528 | − | 0.874776i | \(-0.338991\pi\) | |||||||
\(620\) | 106.788 | + | 339.485i | 0.172238 | + | 0.547557i | ||||
\(621\) | 202.530 | 0.326135 | ||||||||
\(622\) | −343.742 | + | 116.154i | −0.552639 | + | 0.186742i | ||||
\(623\) | −320.970 | − | 1510.04i | −0.515200 | − | 2.42383i | ||||
\(624\) | 250.915 | + | 313.390i | 0.402107 | + | 0.502227i | ||||
\(625\) | −37.5330 | + | 65.0091i | −0.0600528 | + | 0.104015i | ||||
\(626\) | −263.873 | − | 444.933i | −0.421523 | − | 0.710755i | ||||
\(627\) | 6.88666 | − | 15.4677i | 0.0109835 | − | 0.0246693i | ||||
\(628\) | −309.026 | − | 213.651i | −0.492079 | − | 0.340208i | ||||
\(629\) | 206.892 | − | 92.1142i | 0.328922 | − | 0.146446i | ||||
\(630\) | 2.53634 | − | 12.6594i | 0.00402594 | − | 0.0200942i | ||||
\(631\) | 526.535 | − | 55.3410i | 0.834445 | − | 0.0877037i | 0.322337 | − | 0.946625i | \(-0.395531\pi\) |
0.512108 | + | 0.858921i | \(0.328865\pi\) | |||||||
\(632\) | 922.782 | + | 773.980i | 1.46010 | + | 1.22465i | ||||
\(633\) | −84.2669 | − | 93.5879i | −0.133123 | − | 0.147848i | ||||
\(634\) | −103.342 | + | 1107.82i | −0.163001 | + | 1.74735i | ||||
\(635\) | −244.860 | − | 79.5598i | −0.385606 | − | 0.125291i | ||||
\(636\) | −1057.92 | − | 316.562i | −1.66340 | − | 0.497739i | ||||
\(637\) | 38.4593 | − | 365.916i | 0.0603757 | − | 0.574437i | ||||
\(638\) | 60.5671 | − | 55.8322i | 0.0949328 | − | 0.0875113i | ||||
\(639\) | 0.0276234 | + | 0.0248723i | 4.32292e−5 | + | 3.89237e-5i | ||||
\(640\) | 68.1717 | + | 360.984i | 0.106518 | + | 0.564038i | ||||
\(641\) | −94.8056 | − | 20.1515i | −0.147903 | − | 0.0314377i | 0.133365 | − | 0.991067i | \(-0.457422\pi\) |
−0.281268 | + | 0.959629i | \(0.590755\pi\) | |||||||
\(642\) | −921.345 | + | 423.199i | −1.43512 | + | 0.659189i | ||||
\(643\) | −740.257 | + | 1018.88i | −1.15125 | + | 1.58457i | −0.411932 | + | 0.911215i | \(0.635146\pi\) |
−0.739323 | + | 0.673351i | \(0.764854\pi\) | |||||||
\(644\) | −271.434 | − | 113.314i | −0.421482 | − | 0.175953i | ||||
\(645\) | −242.509 | − | 420.038i | −0.375983 | − | 0.651221i | ||||
\(646\) | 57.3130 | + | 32.2012i | 0.0887198 | + | 0.0498471i | ||||
\(647\) | −411.469 | − | 566.339i | −0.635965 | − | 0.875331i | 0.362427 | − | 0.932012i | \(-0.381948\pi\) |
−0.998392 | + | 0.0566814i | \(0.981948\pi\) | |||||||
\(648\) | 644.544 | − | 160.845i | 0.994667 | − | 0.248217i | ||||
\(649\) | 50.5319 | + | 155.521i | 0.0778612 | + | 0.239632i | ||||
\(650\) | −276.829 | + | 3.24030i | −0.425891 | + | 0.00498508i | ||||
\(651\) | −910.592 | − | 29.8871i | −1.39876 | − | 0.0459096i | ||||
\(652\) | 22.5829 | + | 964.532i | 0.0346363 | + | 1.47934i | ||||
\(653\) | −105.553 | − | 324.860i | −0.161644 | − | 0.497489i | 0.837129 | − | 0.547005i | \(-0.184232\pi\) |
−0.998773 | + | 0.0495161i | \(0.984232\pi\) | |||||||
\(654\) | 183.854 | + | 817.781i | 0.281123 | + | 1.25043i | ||||
\(655\) | 47.0790 | + | 64.7987i | 0.0718764 | + | 0.0989294i | ||||
\(656\) | −227.584 | + | 440.606i | −0.346927 | + | 0.671655i | ||||
\(657\) | 1.75100 | + | 3.03282i | 0.00266515 | + | 0.00461617i | ||||
\(658\) | −1010.95 | − | 435.999i | −1.53640 | − | 0.662613i | ||||
\(659\) | −309.361 | + | 425.799i | −0.469440 | + | 0.646129i | −0.976433 | − | 0.215821i | \(-0.930757\pi\) |
0.506993 | + | 0.861950i | \(0.330757\pi\) | |||||||
\(660\) | 61.1439 | − | 28.9564i | 0.0926422 | − | 0.0438734i | ||||
\(661\) | −748.680 | − | 159.137i | −1.13265 | − | 0.240752i | −0.396804 | − | 0.917903i | \(-0.629881\pi\) |
−0.735843 | + | 0.677152i | \(0.763214\pi\) | |||||||
\(662\) | −267.064 | + | 31.2340i | −0.403420 | + | 0.0471812i | ||||
\(663\) | 213.326 | + | 192.080i | 0.321759 | + | 0.289713i | ||||
\(664\) | −697.591 | + | 673.935i | −1.05059 | + | 1.01496i | ||||
\(665\) | −8.33696 | + | 79.3209i | −0.0125368 | + | 0.119279i | ||||
\(666\) | 2.74233 | − | 8.78872i | 0.00411761 | − | 0.0131963i | ||||
\(667\) | 153.547 | + | 49.8904i | 0.230205 | + | 0.0747982i | ||||
\(668\) | −432.410 | − | 35.2372i | −0.647320 | − | 0.0527504i | ||||
\(669\) | −538.920 | − | 598.531i | −0.805560 | − | 0.894665i | ||||
\(670\) | −425.246 | − | 373.975i | −0.634696 | − | 0.558171i | ||||
\(671\) | −35.8527 | + | 3.76827i | −0.0534317 | + | 0.00561590i | ||||
\(672\) | −929.782 | − | 141.395i | −1.38360 | − | 0.210409i | ||||
\(673\) | 767.612 | − | 341.763i | 1.14058 | − | 0.507820i | 0.252542 | − | 0.967586i | \(-0.418733\pi\) |
0.888040 | + | 0.459766i | \(0.152067\pi\) | |||||||
\(674\) | −177.668 | − | 125.933i | −0.263602 | − | 0.186844i | ||||
\(675\) | −181.634 | + | 407.956i | −0.269087 | + | 0.604379i | ||||
\(676\) | 209.737 | + | 344.398i | 0.310262 | + | 0.509464i | ||||
\(677\) | 661.960 | − | 1146.55i | 0.977785 | − | 1.69357i | 0.307363 | − | 0.951592i | \(-0.400553\pi\) |
0.670421 | − | 0.741981i | \(-0.266113\pi\) | |||||||
\(678\) | 184.352 | + | 247.592i | 0.271905 | + | 0.365180i | ||||
\(679\) | 208.916 | + | 982.874i | 0.307682 | + | 1.44753i | ||||
\(680\) | 89.8925 | + | 246.819i | 0.132195 | + | 0.362969i | ||||
\(681\) | 68.9816 | 0.101295 | ||||||||
\(682\) | −68.6109 | − | 98.7522i | −0.100603 | − | 0.144798i | ||||
\(683\) | − | 534.518i | − | 0.782604i | −0.920262 | − | 0.391302i | \(-0.872025\pi\) | ||
0.920262 | − | 0.391302i | \(-0.127975\pi\) | |||||||
\(684\) | 2.52165 | − | 0.885109i | 0.00368663 | − | 0.00129402i | ||||
\(685\) | 428.221 | − | 91.0212i | 0.625141 | − | 0.132878i | ||||
\(686\) | −51.3442 | − | 68.9573i | −0.0748458 | − | 0.100521i | ||||
\(687\) | −898.924 | − | 518.994i | −1.30848 | − | 0.755449i | ||||
\(688\) | −748.987 | + | 480.517i | −1.08864 | + | 0.698427i | ||||
\(689\) | 685.405 | + | 305.162i | 0.994783 | + | 0.442906i | ||||
\(690\) | 108.178 | + | 76.6775i | 0.156779 | + | 0.111127i | ||||
\(691\) | 454.081 | + | 1019.88i | 0.657136 | + | 1.47595i | 0.867045 | + | 0.498230i | \(0.166017\pi\) |
−0.209909 | + | 0.977721i | \(0.567317\pi\) | |||||||
\(692\) | 976.309 | + | 183.748i | 1.41085 | + | 0.265531i | ||||
\(693\) | 0.455994 | + | 4.33849i | 0.000658000 | + | 0.00626045i | ||||
\(694\) | 254.693 | + | 223.984i | 0.366992 | + | 0.322744i | ||||
\(695\) | −113.582 | + | 102.269i | −0.163427 | + | 0.147150i | ||||
\(696\) | 514.965 | + | 35.9028i | 0.739893 | + | 0.0515844i | ||||
\(697\) | −109.576 | + | 337.239i | −0.157210 | + | 0.483843i | ||||
\(698\) | 263.393 | − | 844.134i | 0.377354 | − | 1.20936i | ||||
\(699\) | −1097.73 | − | 115.376i | −1.57043 | − | 0.165059i | ||||
\(700\) | 471.677 | − | 445.128i | 0.673825 | − | 0.635896i | ||||
\(701\) | −337.218 | + | 374.518i | −0.481052 | + | 0.534262i | −0.933999 | − | 0.357275i | \(-0.883706\pi\) |
0.452947 | + | 0.891537i | \(0.350373\pi\) | |||||||
\(702\) | −436.996 | + | 51.1081i | −0.622502 | + | 0.0728035i | ||||
\(703\) | −11.8248 | + | 55.6315i | −0.0168205 | + | 0.0791344i | ||||
\(704\) | −58.3192 | − | 109.573i | −0.0828398 | − | 0.155643i | ||||
\(705\) | 401.526 | + | 291.725i | 0.569540 | + | 0.413795i | ||||
\(706\) | −564.839 | − | 243.602i | −0.800056 | − | 0.345045i | ||||
\(707\) | 509.505 | − | 294.163i | 0.720658 | − | 0.416072i | ||||
\(708\) | −491.464 | + | 899.213i | −0.694158 | + | 1.27007i | ||||
\(709\) | 320.636 | − | 232.956i | 0.452237 | − | 0.328570i | −0.338241 | − | 0.941059i | \(-0.609832\pi\) |
0.790478 | + | 0.612490i | \(0.209832\pi\) | |||||||
\(710\) | −0.201255 | − | 0.895180i | −0.000283458 | − | 0.00126082i | ||||
\(711\) | 33.2959 | − | 10.8185i | 0.0468296 | − | 0.0152159i | ||||
\(712\) | 1276.06 | − | 44.8255i | 1.79222 | − | 0.0629572i | ||||
\(713\) | 102.869 | − | 212.041i | 0.144277 | − | 0.297392i | ||||
\(714\) | −672.425 | + | 7.87077i | −0.941771 | + | 0.0110235i | ||||
\(715\) | −43.7161 | + | 14.2042i | −0.0611414 | + | 0.0198661i | ||||
\(716\) | −88.2675 | − | 372.201i | −0.123279 | − | 0.519834i | ||||
\(717\) | 509.937 | − | 370.491i | 0.711209 | − | 0.516724i | ||||
\(718\) | 889.646 | + | 499.846i | 1.23906 | + | 0.696165i | ||||
\(719\) | 338.454 | − | 195.406i | 0.470729 | − | 0.271775i | −0.245816 | − | 0.969316i | \(-0.579056\pi\) |
0.716545 | + | 0.697541i | \(0.245723\pi\) | |||||||
\(720\) | 9.94793 | + | 3.88204i | 0.0138166 | + | 0.00539172i | ||||
\(721\) | −730.023 | − | 530.393i | −1.01252 | − | 0.735635i | ||||
\(722\) | 641.095 | − | 294.473i | 0.887943 | − | 0.407857i | ||||
\(723\) | −174.429 | + | 820.624i | −0.241257 | + | 1.13503i | ||||
\(724\) | −41.1925 | − | 319.731i | −0.0568957 | − | 0.441618i | ||||
\(725\) | −238.199 | + | 264.547i | −0.328550 | + | 0.364892i | ||||
\(726\) | 523.845 | − | 482.893i | 0.721550 | − | 0.665142i | ||||
\(727\) | 702.885 | + | 73.8762i | 0.966829 | + | 0.101618i | 0.574764 | − | 0.818319i | \(-0.305094\pi\) |
0.392065 | + | 0.919937i | \(0.371761\pi\) | |||||||
\(728\) | 614.265 | + | 176.000i | 0.843771 | + | 0.241758i | ||||
\(729\) | −219.156 | + | 674.492i | −0.300625 | + | 0.925229i | ||||
\(730\) | 8.02892 | − | 86.0693i | 0.0109985 | − | 0.117903i | ||||
\(731\) | −472.857 | + | 425.763i | −0.646863 | + | 0.582438i | ||||
\(732\) | −171.379 | − | 147.195i | −0.234125 | − | 0.201086i | ||||
\(733\) | 8.03703 | + | 76.4672i | 0.0109646 | + | 0.104321i | 0.998635 | − | 0.0522241i | \(-0.0166310\pi\) |
−0.987671 | + | 0.156545i | \(0.949964\pi\) | |||||||
\(734\) | −29.0216 | + | 144.852i | −0.0395390 | + | 0.197347i | ||||
\(735\) | −158.040 | − | 354.963i | −0.215020 | − | 0.482942i | ||||
\(736\) | 131.239 | − | 204.843i | 0.178314 | − | 0.278320i | ||||
\(737\) | 174.800 | + | 77.8258i | 0.237177 | + | 0.105598i | ||||
\(738\) | 7.35318 | + | 12.3987i | 0.00996366 | + | 0.0168003i | ||||
\(739\) | 317.164 | + | 183.115i | 0.429180 | + | 0.247787i | 0.698997 | − | 0.715124i | \(-0.253630\pi\) |
−0.269817 | + | 0.962912i | \(0.586963\pi\) | |||||||
\(740\) | −180.676 | + | 137.844i | −0.244157 | + | 0.186276i | ||||
\(741\) | −70.5145 | + | 14.9883i | −0.0951612 | + | 0.0202271i | ||||
\(742\) | −1665.10 | + | 562.655i | −2.24407 | + | 0.758295i | ||||
\(743\) | − | 1011.32i | − | 1.36114i | −0.732684 | − | 0.680569i | \(-0.761733\pi\) | ||
0.732684 | − | 0.680569i | \(-0.238267\pi\) | |||||||
\(744\) | 154.974 | − | 737.443i | 0.208298 | − | 0.991186i | ||||
\(745\) | −381.370 | −0.511906 | ||||||||
\(746\) | 184.297 | + | 545.402i | 0.247046 | + | 0.731102i | ||||
\(747\) | 5.86202 | + | 27.5786i | 0.00784742 | + | 0.0369192i | ||||
\(748\) | −53.8352 | − | 70.5633i | −0.0719722 | − | 0.0943360i | ||||
\(749\) | −806.874 | + | 1397.55i | −1.07727 | + | 1.86588i | ||||
\(750\) | −626.505 | + | 371.557i | −0.835341 | + | 0.495410i | ||||
\(751\) | −352.029 | + | 790.670i | −0.468747 | + | 1.05282i | 0.512256 | + | 0.858833i | \(0.328810\pi\) |
−0.981003 | + | 0.193990i | \(0.937857\pi\) | |||||||
\(752\) | 500.172 | − | 760.932i | 0.665123 | − | 1.01188i | ||||
\(753\) | −378.846 | + | 168.673i | −0.503115 | + | 0.224001i | ||||
\(754\) | −343.896 | − | 68.9006i | −0.456096 | − | 0.0913801i | ||||
\(755\) | 754.049 | − | 79.2537i | 0.998740 | − | 0.104972i | ||||
\(756\) | 671.551 | − | 781.888i | 0.888295 | − | 1.03424i | ||||
\(757\) | −420.268 | − | 466.754i | −0.555175 | − | 0.616584i | 0.398593 | − | 0.917128i | \(-0.369499\pi\) |
−0.953768 | + | 0.300544i | \(0.902832\pi\) | |||||||
\(758\) | 1235.81 | + | 115.281i | 1.63035 | + | 0.152086i | ||||
\(759\) | −42.6094 | − | 13.8446i | −0.0561389 | − | 0.0182406i | ||||
\(760\) | −63.4155 | − | 18.1699i | −0.0834414 | − | 0.0239077i | ||||
\(761\) | −91.6437 | + | 871.931i | −0.120425 | + | 1.14577i | 0.752730 | + | 0.658329i | \(0.228736\pi\) |
−0.873156 | + | 0.487441i | \(0.837930\pi\) | |||||||
\(762\) | 369.492 | + | 400.827i | 0.484897 | + | 0.526019i | ||||
\(763\) | 991.431 | + | 892.689i | 1.29939 | + | 1.16997i | ||||
\(764\) | −945.528 | + | 121.817i | −1.23760 | + | 0.159446i | ||||
\(765\) | 7.46868 | + | 1.58752i | 0.00976299 | + | 0.00207519i | ||||
\(766\) | −571.074 | − | 1243.28i | −0.745527 | − | 1.62308i | ||||
\(767\) | 409.243 | − | 563.274i | 0.533563 | − | 0.734386i | ||||
\(768\) | 248.556 | − | 737.078i | 0.323641 | − | 0.959737i | ||||
\(769\) | 210.863 | + | 365.225i | 0.274204 | + | 0.474935i | 0.969934 | − | 0.243368i | \(-0.0782524\pi\) |
−0.695730 | + | 0.718303i | \(0.744919\pi\) | |||||||
\(770\) | 52.7451 | − | 93.8779i | 0.0685002 | − | 0.121919i | ||||
\(771\) | −79.6696 | − | 109.656i | −0.103333 | − | 0.142225i | ||||
\(772\) | 318.490 | − | 75.5300i | 0.412552 | − | 0.0978368i | ||||
\(773\) | −59.0082 | − | 181.609i | −0.0763366 | − | 0.234940i | 0.905606 | − | 0.424121i | \(-0.139417\pi\) |
−0.981942 | + | 0.189181i | \(0.939417\pi\) | |||||||
\(774\) | 0.302752 | + | 25.8651i | 0.000391153 | + | 0.0334174i | ||||
\(775\) | 334.858 | + | 397.373i | 0.432075 | + | 0.512740i | ||||
\(776\) | −830.578 | + | 29.1765i | −1.07033 | + | 0.0375986i | ||||
\(777\) | −179.781 | − | 553.310i | −0.231379 | − | 0.712110i | ||||
\(778\) | 173.166 | − | 38.9314i | 0.222578 | − | 0.0500403i | ||||
\(779\) | −52.3423 | − | 72.0430i | −0.0671916 | − | 0.0924813i | ||||
\(780\) | −252.764 | − | 138.148i | −0.324056 | − | 0.177112i | ||||
\(781\) | 0.155008 | + | 0.268482i | 0.000198474 | + | 0.000343767i | ||||
\(782\) | 68.8882 | − | 159.731i | 0.0880923 | − | 0.204260i | ||||
\(783\) | −332.532 | + | 457.691i | −0.424689 | + | 0.584535i | ||||
\(784\) | −636.976 | + | 320.121i | −0.812469 | + | 0.408318i | ||||
\(785\) | 263.671 | + | 56.0450i | 0.335887 | + | 0.0713949i | ||||
\(786\) | −19.7003 | − | 168.446i | −0.0250641 | − | 0.214308i | ||||
\(787\) | −449.433 | − | 404.671i | −0.571071 | − | 0.514195i | 0.332232 | − | 0.943198i | \(-0.392198\pi\) |
−0.903303 | + | 0.429003i | \(0.858865\pi\) | |||||||
\(788\) | −455.026 | − | 482.166i | −0.577445 | − | 0.611886i | ||||
\(789\) | −14.8576 | + | 141.361i | −0.0188310 | + | 0.179165i | ||||
\(790\) | −824.940 | − | 257.404i | −1.04423 | − | 0.325828i | ||||
\(791\) | 467.271 | + | 151.825i | 0.590734 | + | 0.191941i | ||||
\(792\) | −3.59937 | − | 0.250944i | −0.00454465 | − | 0.000316848i | ||||
\(793\) | 102.706 | + | 114.067i | 0.129516 | + | 0.143842i | ||||
\(794\) | 728.141 | − | 827.969i | 0.917054 | − | 1.04278i | ||||
\(795\) | 787.983 | − | 82.8203i | 0.991174 | − | 0.104177i | ||||
\(796\) | 92.8855 | − | 493.530i | 0.116690 | − | 0.620012i | ||||
\(797\) | −1091.91 | + | 486.150i | −1.37003 | + | 0.609975i | −0.954118 | − | 0.299432i | \(-0.903203\pi\) |
−0.415908 | + | 0.909407i | \(0.636536\pi\) | |||||||
\(798\) | 97.6588 | − | 137.779i | 0.122379 | − | 0.172655i | ||||
\(799\) | 264.830 | − | 594.819i | 0.331452 | − | 0.744454i | ||||
\(800\) | 294.918 | + | 448.064i | 0.368647 | + | 0.560080i | ||||
\(801\) | 18.5577 | − | 32.1429i | 0.0231682 | − | 0.0401285i | ||||
\(802\) | 864.264 | − | 643.513i | 1.07764 | − | 0.802385i | ||||
\(803\) | 6.07261 | + | 28.5694i | 0.00756240 | + | 0.0355783i | ||||
\(804\) | 397.126 | + | 1131.40i | 0.493938 | + | 1.40722i | ||||
\(805\) | 211.046 | 0.262169 | ||||||||
\(806\) | −168.452 | + | 483.477i | −0.208997 | + | 0.599847i | ||||
\(807\) | 374.124i | 0.463598i | ||||||||
\(808\) | 166.522 | + | 457.221i | 0.206091 | + | 0.565867i | ||||
\(809\) | 551.642 | − | 117.255i | 0.681882 | − | 0.144938i | 0.146068 | − | 0.989275i | \(-0.453338\pi\) |
0.535814 | + | 0.844336i | \(0.320005\pi\) | |||||||
\(810\) | −382.312 | + | 284.662i | −0.471990 | + | 0.351434i | ||||
\(811\) | −467.240 | − | 269.761i | −0.576128 | − | 0.332628i | 0.183465 | − | 0.983026i | \(-0.441269\pi\) |
−0.759593 | + | 0.650398i | \(0.774602\pi\) | |||||||
\(812\) | 701.740 | − | 427.357i | 0.864212 | − | 0.526302i | ||||
\(813\) | 283.964 | + | 126.429i | 0.349279 | + | 0.155509i | ||||
\(814\) | 44.4033 | − | 62.6449i | 0.0545496 | − | 0.0769594i | ||||
\(815\) | −281.564 | − | 632.402i | −0.345477 | − | 0.775954i | ||||
\(816\) | 90.0513 | − | 548.858i | 0.110357 | − | 0.672620i | ||||
\(817\) | −16.7030 | − | 158.918i | −0.0204443 | − | 0.194514i | ||||
\(818\) | −124.948 | + | 142.078i | −0.152748 | + | 0.173689i | ||||
\(819\) | 13.8031 | − | 12.4284i | 0.0168536 | − | 0.0151751i | ||||
\(820\) | 28.9002 | − | 354.645i | 0.0352441 | − | 0.432494i | ||||
\(821\) | 183.282 | − | 564.084i | 0.223242 | − | 0.687069i | −0.775223 | − | 0.631688i | \(-0.782363\pi\) |
0.998465 | − | 0.0553814i | \(-0.0176375\pi\) | |||||||
\(822\) | −884.895 | − | 276.112i | −1.07652 | − | 0.335903i | ||||
\(823\) | 1240.12 | + | 130.341i | 1.50682 | + | 0.158374i | 0.821644 | − | 0.570001i | \(-0.193057\pi\) |
0.685179 | + | 0.728374i | \(0.259724\pi\) | |||||||
\(824\) | 536.761 | − | 518.559i | 0.651409 | − | 0.629319i | ||||
\(825\) | 66.1005 | − | 73.4120i | 0.0801218 | − | 0.0889843i | ||||
\(826\) | 189.464 | + | 1620.00i | 0.229375 | + | 1.96125i | ||||
\(827\) | 163.092 | − | 767.288i | 0.197209 | − | 0.927797i | −0.762540 | − | 0.646941i | \(-0.776048\pi\) |
0.959750 | − | 0.280857i | \(-0.0906186\pi\) | |||||||
\(828\) | −3.02671 | − | 6.39115i | −0.00365545 | − | 0.00771878i | ||||
\(829\) | −419.762 | − | 304.975i | −0.506348 | − | 0.367883i | 0.305089 | − | 0.952324i | \(-0.401314\pi\) |
−0.811436 | + | 0.584441i | \(0.801314\pi\) | |||||||
\(830\) | 275.610 | − | 639.057i | 0.332060 | − | 0.769948i | ||||
\(831\) | −310.967 | + | 179.537i | −0.374208 | + | 0.216049i | ||||
\(832\) | −231.482 | + | 475.107i | −0.278223 | + | 0.571042i | ||||
\(833\) | −412.391 | + | 299.619i | −0.495067 | + | 0.359687i | ||||
\(834\) | 315.741 | − | 70.9851i | 0.378586 | − | 0.0851140i | ||||
\(835\) | 296.051 | − | 96.1929i | 0.354552 | − | 0.115201i | ||||
\(836\) | 22.2831 | − | 0.521721i | 0.0266544 | − | 0.000624068i | ||||
\(837\) | 595.261 | + | 572.430i | 0.711184 | + | 0.683907i | ||||
\(838\) | 4.94370 | + | 422.356i | 0.00589941 | + | 0.504005i | ||||
\(839\) | −682.759 | + | 221.842i | −0.813777 | + | 0.264412i | −0.686197 | − | 0.727416i | \(-0.740721\pi\) |
−0.127580 | + | 0.991828i | \(0.540721\pi\) | |||||||
\(840\) | 654.720 | − | 163.384i | 0.779428 | − | 0.194505i | ||||
\(841\) | 315.530 | − | 229.246i | 0.375185 | − | 0.272588i | ||||
\(842\) | 60.1814 | − | 107.113i | 0.0714743 | − | 0.127213i | ||||
\(843\) | 955.674 | − | 551.759i | 1.13366 | − | 0.654518i | ||||
\(844\) | 63.8674 | − | 152.989i | 0.0756722 | − | 0.181267i | ||||
\(845\) | −234.070 | − | 170.062i | −0.277005 | − | 0.201256i | ||||
\(846\) | −11.0483 | − | 24.0532i | −0.0130595 | − | 0.0284317i | ||||
\(847\) | 235.768 | − | 1109.20i | 0.278356 | − | 1.30956i | ||||
\(848\) | −219.448 | − | 1437.04i | −0.258783 | − | 1.69462i | ||||
\(849\) | 945.847 | − | 1050.47i | 1.11407 | − | 1.23730i | ||||
\(850\) | 259.966 | + | 282.012i | 0.305842 | + | 0.331779i | ||||
\(851\) | 149.670 | + | 15.7309i | 0.175875 | + | 0.0184852i | ||||
\(852\) | −0.556935 | + | 1.86123i | −0.000653679 | + | 0.00218454i | ||||
\(853\) | −75.7768 | + | 233.217i | −0.0888357 | + | 0.273408i | −0.985598 | − | 0.169104i | \(-0.945913\pi\) |
0.896763 | + | 0.442512i | \(0.145913\pi\) | |||||||
\(854\) | −358.020 | − | 33.3976i | −0.419227 | − | 0.0391073i | ||||
\(855\) | −1.42500 | + | 1.28308i | −0.00166667 | + | 0.00150068i | ||||
\(856\) | −1022.63 | − | 857.730i | −1.19466 | − | 1.00202i | ||||
\(857\) | −48.7219 | − | 463.558i | −0.0568517 | − | 0.540908i | −0.985467 | − | 0.169865i | \(-0.945667\pi\) |
0.928616 | − | 0.371043i | \(-0.121000\pi\) | |||||||
\(858\) | 95.4316 | + | 19.1200i | 0.111226 | + | 0.0222844i | ||||
\(859\) | 687.025 | + | 1543.08i | 0.799796 | + | 1.79637i | 0.566715 | + | 0.823914i | \(0.308214\pi\) |
0.233081 | + | 0.972457i | \(0.425119\pi\) | |||||||
\(860\) | 363.104 | − | 525.196i | 0.422214 | − | 0.610693i | ||||
\(861\) | 832.166 | + | 370.504i | 0.966511 | + | 0.430318i | ||||
\(862\) | −150.812 | + | 89.4408i | −0.174956 | + | 0.103760i | ||||
\(863\) | 912.198 | + | 526.658i | 1.05701 | + | 0.610264i | 0.924603 | − | 0.380932i | \(-0.124397\pi\) |
0.132405 | + | 0.991196i | \(0.457730\pi\) | |||||||
\(864\) | 540.556 | + | 659.183i | 0.625643 | + | 0.762943i | ||||
\(865\) | −697.233 | + | 148.201i | −0.806050 | + | 0.171331i | ||||
\(866\) | −193.607 | − | 572.955i | −0.223565 | − | 0.661611i | ||||
\(867\) | 480.430i | 0.554129i | ||||||||
\(868\) | −477.510 | − | 1100.23i | −0.550127 | − | 1.26754i | ||||
\(869\) | 291.987 | 0.336004 | ||||||||
\(870\) | −350.897 | + | 118.572i | −0.403330 | + | 0.136289i | ||||
\(871\) | −169.382 | − | 796.881i | −0.194469 | − | 0.914904i | ||||
\(872\) | −869.372 | + | 679.518i | −0.996986 | + | 0.779263i | ||||
\(873\) | −12.0791 | + | 20.9215i | −0.0138363 | + | 0.0239651i | ||||
\(874\) | 22.2839 | + | 37.5742i | 0.0254965 | + | 0.0429911i | ||||
\(875\) | −471.549 | + | 1059.12i | −0.538913 | + | 1.21042i | ||||
\(876\) | −104.089 | + | 150.556i | −0.118823 | + | 0.171867i | ||||
\(877\) | −1230.32 | + | 547.773i | −1.40287 | + | 0.624598i | −0.962019 | − | 0.272982i | \(-0.911990\pi\) |
−0.440852 | + | 0.897580i | \(0.645324\pi\) | |||||||
\(878\) | −150.537 | + | 751.360i | −0.171455 | + | 0.855764i | ||||
\(879\) | 957.138 | − | 100.599i | 1.08889 | − | 0.114447i | ||||
\(880\) | 68.9024 | + | 56.4312i | 0.0782982 | + | 0.0641264i | ||||
\(881\) | −927.551 | − | 1030.15i | −1.05284 | − | 1.16930i | −0.985169 | − | 0.171588i | \(-0.945110\pi\) |
−0.0676697 | − | 0.997708i | \(-0.521556\pi\) | |||||||
\(882\) | −1.92471 | + | 20.6328i | −0.00218222 | + | 0.0233931i | ||||
\(883\) | 262.196 | + | 85.1925i | 0.296937 | + | 0.0964807i | 0.453697 | − | 0.891156i | \(-0.350105\pi\) |
−0.156760 | + | 0.987637i | \(0.550105\pi\) | |||||||
\(884\) | −108.331 | + | 362.034i | −0.122547 | + | 0.409541i | ||||
\(885\) | 76.8567 | − | 731.243i | 0.0868437 | − | 0.826263i | ||||
\(886\) | −277.899 | + | 256.174i | −0.313655 | + | 0.289135i | ||||
\(887\) | 589.816 | + | 531.073i | 0.664956 | + | 0.598729i | 0.930906 | − | 0.365258i | \(-0.119019\pi\) |
−0.265951 | + | 0.963987i | \(0.585686\pi\) | |||||||
\(888\) | 476.493 | − | 67.0674i | 0.536592 | − | 0.0755263i | ||||
\(889\) | 848.718 | + | 180.401i | 0.954688 | + | 0.202925i | ||||
\(890\) | −832.528 | + | 382.403i | −0.935424 | + | 0.429666i | ||||
\(891\) | 94.6639 | − | 130.294i | 0.106245 | − | 0.146233i | ||||
\(892\) | 408.457 | − | 978.425i | 0.457911 | − | 1.09689i | ||||
\(893\) | 81.7574 | + | 141.608i | 0.0915537 | + | 0.158576i | ||||
\(894\) | 704.004 | + | 395.544i | 0.787477 | + | 0.442442i | ||||
\(895\) | 161.326 | + | 222.047i | 0.180253 | + | 0.248097i | ||||
\(896\) | −355.655 | − | 1185.89i | −0.396937 | − | 1.32353i | ||||
\(897\) | 58.9468 | + | 181.420i | 0.0657155 | + | 0.202252i | ||||
\(898\) | −37.7939 | + | 0.442380i | −0.0420868 | + | 0.000492628i | ||||
\(899\) | 310.284 | + | 580.619i | 0.345143 | + | 0.645850i | ||||
\(900\) | 15.5881 | − | 0.364970i | 0.0173202 | − | 0.000405522i | ||||
\(901\) | −321.206 | − | 988.571i | −0.356500 | − | 1.09719i | ||||
\(902\) | 26.3711 | + | 117.298i | 0.0292362 | + | 0.130042i | ||||
\(903\) | 960.780 | + | 1322.40i | 1.06399 | + | 1.46445i | ||||
\(904\) | −190.703 | + | 358.839i | −0.210954 | + | 0.396946i | ||||
\(905\) | 115.653 | + | 200.317i | 0.127794 | + | 0.221345i | ||||
\(906\) | −1474.16 | − | 635.772i | −1.62711 | − | 0.701735i | ||||
\(907\) | −486.039 | + | 668.976i | −0.535876 | + | 0.737570i | −0.988012 | − | 0.154379i | \(-0.950662\pi\) |
0.452136 | + | 0.891949i | \(0.350662\pi\) | |||||||
\(908\) | 38.8673 | + | 82.0716i | 0.0428054 | + | 0.0903872i | ||||
\(909\) | 13.8354 | + | 2.94080i | 0.0152205 | + | 0.00323521i | ||||
\(910\) | −455.372 | + | 53.2572i | −0.500409 | + | 0.0585244i | ||||
\(911\) | −1007.69 | − | 907.329i | −1.10614 | − | 0.995971i | −0.999999 | − | 0.00161920i | \(-0.999485\pi\) |
−0.106139 | − | 0.994351i | \(-0.533849\pi\) | |||||||
\(912\) | 98.2190 | + | 99.3137i | 0.107696 | + | 0.108897i | ||||
\(913\) | −24.5800 | + | 233.864i | −0.0269223 | + | 0.256148i | ||||
\(914\) | 124.937 | − | 400.402i | 0.136692 | − | 0.438077i | ||||
\(915\) | 154.162 | + | 50.0903i | 0.168483 | + | 0.0547435i | ||||
\(916\) | 110.984 | − | 1361.93i | 0.121162 | − | 1.48682i | ||||
\(917\) | −180.621 | − | 200.600i | −0.196969 | − | 0.218756i | ||||
\(918\) | 457.729 | + | 402.541i | 0.498616 | + | 0.438498i | ||||
\(919\) | −1100.90 | + | 115.709i | −1.19793 | + | 0.125908i | −0.682410 | − | 0.730970i | \(-0.739068\pi\) |
−0.515520 | + | 0.856877i | \(0.672401\pi\) | |||||||
\(920\) | −30.2756 | + | 171.909i | −0.0329082 | + | 0.186858i | ||||
\(921\) | 938.840 | − | 417.999i | 1.01937 | − | 0.453853i | ||||
\(922\) | −321.762 | − | 228.068i | −0.348983 | − | 0.247362i | ||||
\(923\) | 0.536879 | − | 1.20585i | 0.000581667 | − | 0.00130645i | ||||
\(924\) | −194.734 | + | 118.592i | −0.210751 | + | 0.128346i | ||||
\(925\) | −165.915 | + | 287.373i | −0.179367 | + | 0.310673i | ||||
\(926\) | 707.262 | + | 949.881i | 0.763782 | + | 1.02579i | ||||
\(927\) | −4.51053 | − | 21.2204i | −0.00486573 | − | 0.0228914i | ||||
\(928\) | 247.439 | + | 632.914i | 0.266637 | + | 0.682020i | ||||
\(929\) | −622.737 | −0.670330 | −0.335165 | − | 0.942159i | \(-0.608792\pi\) | ||||
−0.335165 | + | 0.942159i | \(0.608792\pi\) | |||||||
\(930\) | 101.228 | + | 531.119i | 0.108847 | + | 0.571096i | ||||
\(931\) | − | 128.013i | − | 0.137501i | ||||||
\(932\) | −481.241 | − | 1371.04i | −0.516353 | − | 1.47108i | ||||
\(933\) | −539.195 | + | 114.609i | −0.577915 | + | 0.122840i | ||||
\(934\) | 602.585 | + | 809.296i | 0.645166 | + | 0.866484i | ||||
\(935\) | 55.1506 | + | 31.8412i | 0.0589846 | + | 0.0340548i | ||||
\(936\) | 8.14351 | + | 13.0263i | 0.00870033 | + | 0.0139170i | ||||
\(937\) | 1324.95 | + | 589.906i | 1.41403 | + | 0.629569i | 0.964593 | − | 0.263741i | \(-0.0849565\pi\) |
0.449441 | + | 0.893310i | \(0.351623\pi\) | |||||||
\(938\) | 1557.03 | + | 1103.64i | 1.65995 | + | 1.17659i | ||||
\(939\) | −319.656 | − | 717.958i | −0.340421 | − | 0.764599i | ||||
\(940\) | −120.846 | + | 642.091i | −0.128559 | + | 0.683075i | ||||
\(941\) | 166.541 | + | 1584.53i | 0.176983 | + | 1.68388i | 0.617842 | + | 0.786302i | \(0.288007\pi\) |
−0.440860 | + | 0.897576i | \(0.645326\pi\) | |||||||
\(942\) | −428.606 | − | 376.929i | −0.454995 | − | 0.400137i | ||||
\(943\) | −175.110 | + | 157.670i | −0.185695 | + | 0.167200i | ||||
\(944\) | −1346.76 | − | 78.0669i | −1.42665 | − | 0.0826980i | ||||
\(945\) | −228.528 | + | 703.337i | −0.241829 | + | 0.744272i | ||||
\(946\) | −64.2602 | + | 205.944i | −0.0679283 | + | 0.217700i | ||||
\(947\) | 517.832 | + | 54.4264i | 0.546814 | + | 0.0574724i | 0.373908 | − | 0.927466i | \(-0.378018\pi\) |
0.172906 | + | 0.984938i | \(0.444684\pi\) | |||||||
\(948\) | 1255.86 | + | 1330.76i | 1.32475 | + | 1.40376i | ||||
\(949\) | 83.2120 | − | 92.4163i | 0.0876839 | − | 0.0973828i | ||||
\(950\) | −95.6706 | + | 11.1890i | −0.100706 | + | 0.0117779i | ||||
\(951\) | −351.448 | + | 1653.43i | −0.369556 | + | 1.73862i | ||||
\(952\) | −388.239 | − | 795.589i | −0.407814 | − | 0.835703i | ||||
\(953\) | 277.896 | + | 201.903i | 0.291601 | + | 0.211860i | 0.723962 | − | 0.689840i | \(-0.242319\pi\) |
−0.432361 | + | 0.901701i | \(0.642319\pi\) | |||||||
\(954\) | −38.8013 | − | 16.7341i | −0.0406722 | − | 0.0175410i | ||||
\(955\) | 592.390 | − | 342.016i | 0.620303 | − | 0.358132i | ||||
\(956\) | 728.117 | + | 397.952i | 0.761629 | + | 0.416267i | ||||
\(957\) | 101.247 | − | 73.5604i | 0.105796 | − | 0.0768656i | ||||
\(958\) | −291.258 | − | 1295.51i | −0.304027 | − | 1.35231i | ||||
\(959\) | −1403.19 | + | 455.925i | −1.46318 | + | 0.475418i | ||||
\(960\) | 39.1630 | + | 556.745i | 0.0407948 | + | 0.579943i | ||||
\(961\) | 901.658 | − | 332.465i | 0.938250 | − | 0.345958i | ||||
\(962\) | −326.911 | + | 3.82651i | −0.339824 | + | 0.00397766i | ||||
\(963\) | −36.8987 | + | 11.9891i | −0.0383164 | + | 0.0124498i | ||||
\(964\) | −1074.63 | + | 254.848i | −1.11476 | + | 0.264365i | ||||
\(965\) | −190.004 | + | 138.046i | −0.196895 | + | 0.143053i | ||||
\(966\) | −389.589 | − | 218.890i | −0.403301 | − | 0.226594i | ||||
\(967\) | −495.886 | + | 286.300i | −0.512808 | + | 0.296070i | −0.733987 | − | 0.679163i | \(-0.762343\pi\) |
0.221179 | + | 0.975233i | \(0.429010\pi\) | |||||||
\(968\) | 869.685 | + | 351.166i | 0.898435 | + | 0.362775i | ||||
\(969\) | 80.8008 | + | 58.7052i | 0.0833858 | + | 0.0605833i | ||||
\(970\) | 541.885 | − | 248.903i | 0.558644 | − | 0.256601i | ||||
\(971\) | 20.7813 | − | 97.7683i | 0.0214020 | − | 0.100688i | −0.966150 | − | 0.257980i | \(-0.916943\pi\) |
0.987552 | + | 0.157292i | \(0.0502764\pi\) | |||||||
\(972\) | 49.8053 | − | 6.41665i | 0.0512401 | − | 0.00660149i | ||||
\(973\) | 344.662 | − | 382.786i | 0.354226 | − | 0.393408i | ||||
\(974\) | −793.410 | + | 731.385i | −0.814590 | + | 0.750909i | ||||
\(975\) | −418.299 | − | 43.9650i | −0.429025 | − | 0.0450923i | ||||
\(976\) | 78.5639 | − | 286.837i | 0.0804958 | − | 0.293890i | ||||
\(977\) | 374.979 | − | 1154.07i | 0.383807 | − | 1.18124i | −0.553535 | − | 0.832826i | \(-0.686722\pi\) |
0.937342 | − | 0.348410i | \(-0.113278\pi\) | |||||||
\(978\) | −136.143 | + | 1459.43i | −0.139205 | + | 1.49226i | ||||
\(979\) | 230.042 | − | 207.131i | 0.234977 | − | 0.211574i | ||||
\(980\) | 333.274 | − | 388.031i | 0.340075 | − | 0.395950i | ||||
\(981\) | 3.35269 | + | 31.8987i | 0.00341762 | + | 0.0325165i | ||||
\(982\) | 124.400 | − | 620.904i | 0.126680 | − | 0.632285i | ||||
\(983\) | −439.796 | − | 987.797i | −0.447401 | − | 1.00488i | −0.986668 | − | 0.162745i | \(-0.947965\pi\) |
0.539267 | − | 0.842135i | \(-0.318701\pi\) | |||||||
\(984\) | −421.175 | + | 624.697i | −0.428024 | + | 0.634855i | ||||
\(985\) | 434.564 | + | 193.480i | 0.441182 | + | 0.196427i | ||||
\(986\) | 247.865 | + | 417.940i | 0.251384 | + | 0.423874i | ||||
\(987\) | −1448.55 | − | 836.321i | −1.46763 | − | 0.847337i | ||||
\(988\) | −57.5636 | − | 75.4502i | −0.0582627 | − | 0.0763666i | ||||
\(989\) | −413.588 | + | 87.9108i | −0.418188 | + | 0.0888886i | ||||
\(990\) | 2.45261 | − | 0.828761i | 0.00247738 | − | 0.000837132i | ||||
\(991\) | − | 1151.74i | − | 1.16220i | −0.813831 | − | 0.581101i | \(-0.802622\pi\) | ||
0.813831 | − | 0.581101i | \(-0.197378\pi\) | |||||||
\(992\) | 964.699 | − | 231.127i | 0.972479 | − | 0.232991i | ||||
\(993\) | −408.504 | −0.411383 | ||||||||
\(994\) | 0.989892 | + | 2.92945i | 0.000995867 | + | 0.00294714i | ||||
\(995\) | 74.9167 | + | 352.455i | 0.0752932 | + | 0.354226i | ||||
\(996\) | −1171.58 | + | 893.838i | −1.17628 | + | 0.897428i | ||||
\(997\) | 117.117 | − | 202.853i | 0.117470 | − | 0.203464i | −0.801295 | − | 0.598270i | \(-0.795855\pi\) |
0.918764 | + | 0.394806i | \(0.129188\pi\) | |||||||
\(998\) | −964.904 | + | 572.249i | −0.966838 | + | 0.573396i | ||||
\(999\) | −214.493 | + | 481.760i | −0.214708 | + | 0.482242i |
(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 | 124.3.n.a.7.19 | yes | 240 | |
4.3 | odd | 2 | inner | 124.3.n.a.7.17 | ✓ | 240 | |
31.9 | even | 15 | inner | 124.3.n.a.71.17 | yes | 240 | |
124.71 | odd | 30 | inner | 124.3.n.a.71.19 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
124.3.n.a.7.17 | ✓ | 240 | 4.3 | odd | 2 | inner | |
124.3.n.a.7.19 | yes | 240 | 1.1 | even | 1 | trivial | |
124.3.n.a.71.17 | yes | 240 | 31.9 | even | 15 | inner | |
124.3.n.a.71.19 | yes | 240 | 124.71 | odd | 30 | inner |