Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [41,2,Mod(2,41)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(41, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("41.2");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 41.g (of order \(20\), 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: | \(0.327386648287\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 36.1 | ||
Character | \(\chi\) | \(=\) | 41.36 |
Dual form | 41.2.g.a.8.1 |
$q$-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 \(\left(\mathbb{Z}/41\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{1}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.61018 | − | 2.21623i | −1.13857 | − | 1.56711i | −0.770655 | − | 0.637252i | \(-0.780071\pi\) |
−0.367917 | − | 0.929858i | \(-0.619929\pi\) | |||||||
\(3\) | 1.24382 | − | 1.24382i | 0.718121 | − | 0.718121i | −0.250099 | − | 0.968220i | \(-0.580463\pi\) |
0.968220 | + | 0.250099i | \(0.0804633\pi\) | |||||||
\(4\) | −1.70094 | + | 5.23496i | −0.850472 | + | 2.61748i | ||||
\(5\) | −1.15434 | − | 0.375067i | −0.516236 | − | 0.167735i | 0.0393006 | − | 0.999227i | \(-0.487487\pi\) |
−0.555536 | + | 0.831492i | \(0.687487\pi\) | |||||||
\(6\) | −4.75938 | − | 0.753811i | −1.94301 | − | 0.307742i | ||||
\(7\) | 1.19485 | − | 0.189245i | 0.451609 | − | 0.0715279i | 0.0735133 | − | 0.997294i | \(-0.476579\pi\) |
0.378096 | + | 0.925766i | \(0.376579\pi\) | |||||||
\(8\) | 9.13005 | − | 2.96653i | 3.22796 | − | 1.04883i | ||||
\(9\) | − | 0.0941838i | − | 0.0313946i | ||||||
\(10\) | 1.02746 | + | 3.16221i | 0.324912 | + | 0.999977i | ||||
\(11\) | 0.836104 | + | 0.426016i | 0.252095 | + | 0.128449i | 0.575472 | − | 0.817821i | \(-0.304818\pi\) |
−0.323377 | + | 0.946270i | \(0.604818\pi\) | |||||||
\(12\) | 4.39569 | + | 8.62703i | 1.26893 | + | 2.49041i | ||||
\(13\) | 0.289312 | − | 1.82664i | 0.0802407 | − | 0.506620i | −0.914533 | − | 0.404512i | \(-0.867441\pi\) |
0.994773 | − | 0.102108i | \(-0.0325587\pi\) | |||||||
\(14\) | −2.34333 | − | 2.34333i | −0.626282 | − | 0.626282i | ||||
\(15\) | −1.90231 | + | 0.969274i | −0.491174 | + | 0.250265i | ||||
\(16\) | −12.3693 | − | 8.98684i | −3.09233 | − | 2.24671i | ||||
\(17\) | −1.02572 | + | 2.01309i | −0.248774 | + | 0.488247i | −0.981298 | − | 0.192495i | \(-0.938342\pi\) |
0.732524 | + | 0.680741i | \(0.238342\pi\) | |||||||
\(18\) | −0.208733 | + | 0.151653i | −0.0491988 | + | 0.0357450i | ||||
\(19\) | 0.815977 | + | 5.15188i | 0.187198 | + | 1.18192i | 0.884986 | + | 0.465618i | \(0.154168\pi\) |
−0.697788 | + | 0.716304i | \(0.745832\pi\) | |||||||
\(20\) | 3.92693 | − | 5.40495i | 0.878088 | − | 1.20858i | ||||
\(21\) | 1.25079 | − | 1.72156i | 0.272944 | − | 0.375676i | ||||
\(22\) | −0.402132 | − | 2.53896i | −0.0857349 | − | 0.541309i | ||||
\(23\) | −5.31348 | + | 3.86047i | −1.10794 | + | 0.804963i | −0.982337 | − | 0.187118i | \(-0.940085\pi\) |
−0.125599 | + | 0.992081i | \(0.540085\pi\) | |||||||
\(24\) | 7.66631 | − | 15.0460i | 1.56488 | − | 3.07125i | ||||
\(25\) | −2.85326 | − | 2.07302i | −0.570653 | − | 0.414603i | ||||
\(26\) | −4.51411 | + | 2.30005i | −0.885290 | + | 0.451078i | ||||
\(27\) | 3.61432 | + | 3.61432i | 0.695576 | + | 0.695576i | ||||
\(28\) | −1.04167 | + | 6.57687i | −0.196858 | + | 1.24291i | ||||
\(29\) | −0.689088 | − | 1.35241i | −0.127961 | − | 0.251137i | 0.818134 | − | 0.575028i | \(-0.195009\pi\) |
−0.946094 | + | 0.323891i | \(0.895009\pi\) | |||||||
\(30\) | 5.21120 | + | 2.65524i | 0.951431 | + | 0.484778i | ||||
\(31\) | −0.515703 | − | 1.58717i | −0.0926230 | − | 0.285064i | 0.894004 | − | 0.448059i | \(-0.147885\pi\) |
−0.986627 | + | 0.162995i | \(0.947885\pi\) | |||||||
\(32\) | 22.6839i | 4.00999i | ||||||||
\(33\) | 1.56985 | − | 0.510076i | 0.273276 | − | 0.0887928i | ||||
\(34\) | 6.11308 | − | 0.968216i | 1.04838 | − | 0.166048i | ||||
\(35\) | −1.45024 | − | 0.229695i | −0.245135 | − | 0.0388255i | ||||
\(36\) | 0.493049 | + | 0.160201i | 0.0821748 | + | 0.0267002i | ||||
\(37\) | 1.97146 | − | 6.06752i | 0.324105 | − | 0.997494i | −0.647737 | − | 0.761864i | \(-0.724285\pi\) |
0.971843 | − | 0.235630i | \(-0.0757154\pi\) | |||||||
\(38\) | 10.1039 | − | 10.1039i | 1.63906 | − | 1.63906i | ||||
\(39\) | −1.91217 | − | 2.63187i | −0.306192 | − | 0.421437i | ||||
\(40\) | −11.6518 | −1.84231 | ||||||||
\(41\) | 4.89143 | − | 4.13206i | 0.763913 | − | 0.645319i | ||||
\(42\) | −5.82938 | −0.899493 | ||||||||
\(43\) | 0.714124 | + | 0.982908i | 0.108903 | + | 0.149892i | 0.859990 | − | 0.510312i | \(-0.170470\pi\) |
−0.751087 | + | 0.660204i | \(0.770470\pi\) | |||||||
\(44\) | −3.65235 | + | 3.65235i | −0.550612 | + | 0.550612i | ||||
\(45\) | −0.0353253 | + | 0.108720i | −0.00526598 | + | 0.0162070i | ||||
\(46\) | 17.1114 | + | 5.55982i | 2.52293 | + | 0.819750i | ||||
\(47\) | −5.36365 | − | 0.849519i | −0.782369 | − | 0.123915i | −0.247542 | − | 0.968877i | \(-0.579623\pi\) |
−0.534826 | + | 0.844962i | \(0.679623\pi\) | |||||||
\(48\) | −26.5633 | + | 4.20721i | −3.83408 | + | 0.607258i | ||||
\(49\) | −5.26555 | + | 1.71088i | −0.752222 | + | 0.244412i | ||||
\(50\) | 9.66143i | 1.36633i | ||||||||
\(51\) | 1.22811 | + | 3.77974i | 0.171970 | + | 0.529270i | ||||
\(52\) | 9.07032 | + | 4.62156i | 1.25783 | + | 0.640895i | ||||
\(53\) | −4.56121 | − | 8.95188i | −0.626530 | − | 1.22963i | −0.958162 | − | 0.286226i | \(-0.907599\pi\) |
0.331632 | − | 0.943409i | \(-0.392401\pi\) | |||||||
\(54\) | 2.19044 | − | 13.8299i | 0.298081 | − | 1.88201i | ||||
\(55\) | −0.805362 | − | 0.805362i | −0.108595 | − | 0.108595i | ||||
\(56\) | 10.3476 | − | 5.27237i | 1.38276 | − | 0.704550i | ||||
\(57\) | 7.42295 | + | 5.39309i | 0.983193 | + | 0.714332i | ||||
\(58\) | −1.88770 | + | 3.70481i | −0.247867 | + | 0.486466i | ||||
\(59\) | −6.23053 | + | 4.52674i | −0.811146 | + | 0.589332i | −0.914163 | − | 0.405348i | \(-0.867150\pi\) |
0.103017 | + | 0.994680i | \(0.467150\pi\) | |||||||
\(60\) | −1.83840 | − | 11.6072i | −0.237336 | − | 1.49848i | ||||
\(61\) | 0.982392 | − | 1.35215i | 0.125782 | − | 0.173125i | −0.741481 | − | 0.670973i | \(-0.765876\pi\) |
0.867264 | + | 0.497849i | \(0.165876\pi\) | |||||||
\(62\) | −2.68716 | + | 3.69855i | −0.341269 | + | 0.469717i | ||||
\(63\) | −0.0178238 | − | 0.112535i | −0.00224559 | − | 0.0141781i | ||||
\(64\) | 25.5342 | − | 18.5517i | 3.19177 | − | 2.31896i | ||||
\(65\) | −1.01908 | + | 2.00005i | −0.126401 | + | 0.248076i | ||||
\(66\) | −3.65820 | − | 2.65784i | −0.450293 | − | 0.327157i | ||||
\(67\) | 13.1161 | − | 6.68301i | 1.60239 | − | 0.816460i | 0.602561 | − | 0.798073i | \(-0.294147\pi\) |
0.999831 | − | 0.0183870i | \(-0.00585310\pi\) | |||||||
\(68\) | −8.79377 | − | 8.79377i | −1.06640 | − | 1.06640i | ||||
\(69\) | −1.80728 | + | 11.4107i | −0.217571 | + | 1.37369i | ||||
\(70\) | 1.82609 | + | 3.58391i | 0.218260 | + | 0.428359i | ||||
\(71\) | 2.77828 | + | 1.41561i | 0.329722 | + | 0.168001i | 0.611012 | − | 0.791621i | \(-0.290763\pi\) |
−0.281291 | + | 0.959623i | \(0.590763\pi\) | |||||||
\(72\) | −0.279399 | − | 0.859903i | −0.0329275 | − | 0.101340i | ||||
\(73\) | 0.596826i | 0.0698532i | 0.999390 | + | 0.0349266i | \(0.0111197\pi\) | ||||
−0.999390 | + | 0.0349266i | \(0.988880\pi\) | |||||||
\(74\) | −16.6214 | + | 5.40063i | −1.93220 | + | 0.627810i | ||||
\(75\) | −6.12741 | + | 0.970487i | −0.707533 | + | 0.112062i | ||||
\(76\) | −28.3578 | − | 4.49144i | −3.25287 | − | 0.515203i | ||||
\(77\) | 1.07964 | + | 0.350796i | 0.123036 | + | 0.0399769i | ||||
\(78\) | −2.75389 | + | 8.47560i | −0.311817 | + | 0.959673i | ||||
\(79\) | −5.89711 | + | 5.89711i | −0.663477 | + | 0.663477i | −0.956198 | − | 0.292721i | \(-0.905439\pi\) |
0.292721 | + | 0.956198i | \(0.405439\pi\) | |||||||
\(80\) | 10.9077 | + | 15.0132i | 1.21952 | + | 1.67853i | ||||
\(81\) | 9.27368 | 1.03041 | ||||||||
\(82\) | −17.0337 | − | 4.18715i | −1.88106 | − | 0.462394i | ||||
\(83\) | 11.1844 | 1.22765 | 0.613823 | − | 0.789443i | \(-0.289631\pi\) | ||||
0.613823 | + | 0.789443i | \(0.289631\pi\) | |||||||
\(84\) | 6.88480 | + | 9.47611i | 0.751193 | + | 1.03393i | ||||
\(85\) | 1.93908 | − | 1.93908i | 0.210322 | − | 0.210322i | ||||
\(86\) | 1.02848 | − | 3.16533i | 0.110903 | − | 0.341326i | ||||
\(87\) | −2.53926 | − | 0.825056i | −0.272238 | − | 0.0884553i | ||||
\(88\) | 8.89746 | + | 1.40922i | 0.948473 | + | 0.150223i | ||||
\(89\) | 6.08909 | − | 0.964418i | 0.645443 | − | 0.102228i | 0.174873 | − | 0.984591i | \(-0.444048\pi\) |
0.470570 | + | 0.882363i | \(0.344048\pi\) | |||||||
\(90\) | 0.297829 | − | 0.0967704i | 0.0313939 | − | 0.0102005i | ||||
\(91\) | − | 2.23731i | − | 0.234534i | ||||||
\(92\) | −11.1715 | − | 34.3823i | −1.16471 | − | 3.58460i | ||||
\(93\) | −2.61560 | − | 1.33271i | −0.271225 | − | 0.138196i | ||||
\(94\) | 6.75374 | + | 13.2550i | 0.696595 | + | 1.36714i | ||||
\(95\) | 0.990387 | − | 6.25306i | 0.101612 | − | 0.641550i | ||||
\(96\) | 28.2148 | + | 28.2148i | 2.87966 | + | 2.87966i | ||||
\(97\) | −15.0243 | + | 7.65525i | −1.52548 | + | 0.777273i | −0.997410 | − | 0.0719256i | \(-0.977086\pi\) |
−0.528074 | + | 0.849198i | \(0.677086\pi\) | |||||||
\(98\) | 12.2702 | + | 8.91483i | 1.23948 | + | 0.900534i | ||||
\(99\) | 0.0401238 | − | 0.0787475i | 0.00403260 | − | 0.00791442i | ||||
\(100\) | 15.7054 | − | 11.4106i | 1.57054 | − | 1.14106i | ||||
\(101\) | 1.46960 | + | 9.27866i | 0.146230 | + | 0.923262i | 0.946285 | + | 0.323334i | \(0.104804\pi\) |
−0.800055 | + | 0.599927i | \(0.795196\pi\) | |||||||
\(102\) | 6.39929 | − | 8.80787i | 0.633624 | − | 0.872109i | ||||
\(103\) | 6.15464 | − | 8.47113i | 0.606435 | − | 0.834686i | −0.389844 | − | 0.920881i | \(-0.627471\pi\) |
0.996278 | + | 0.0861955i | \(0.0274710\pi\) | |||||||
\(104\) | −2.77737 | − | 17.5356i | −0.272343 | − | 1.71951i | ||||
\(105\) | −2.08953 | + | 1.51814i | −0.203918 | + | 0.148155i | ||||
\(106\) | −12.4950 | + | 24.5229i | −1.21362 | + | 2.38187i | ||||
\(107\) | 4.04469 | + | 2.93864i | 0.391014 | + | 0.284089i | 0.765871 | − | 0.642994i | \(-0.222308\pi\) |
−0.374857 | + | 0.927083i | \(0.622308\pi\) | |||||||
\(108\) | −25.0686 | + | 12.7731i | −2.41222 | + | 1.22909i | ||||
\(109\) | −5.70768 | − | 5.70768i | −0.546697 | − | 0.546697i | 0.378787 | − | 0.925484i | \(-0.376341\pi\) |
−0.925484 | + | 0.378787i | \(0.876341\pi\) | |||||||
\(110\) | −0.488085 | + | 3.08165i | −0.0465371 | + | 0.293824i | ||||
\(111\) | −5.09477 | − | 9.99905i | −0.483574 | − | 0.949068i | ||||
\(112\) | −16.4802 | − | 8.39706i | −1.55723 | − | 0.793448i | ||||
\(113\) | 0.593004 | + | 1.82508i | 0.0557851 | + | 0.171689i | 0.975067 | − | 0.221911i | \(-0.0712295\pi\) |
−0.919282 | + | 0.393600i | \(0.871229\pi\) | |||||||
\(114\) | − | 25.1348i | − | 2.35409i | ||||||
\(115\) | 7.58148 | − | 2.46337i | 0.706977 | − | 0.229711i | ||||
\(116\) | 8.25193 | − | 1.30698i | 0.766173 | − | 0.121350i | ||||
\(117\) | −0.172040 | − | 0.0272485i | −0.0159051 | − | 0.00251913i | ||||
\(118\) | 20.0646 | + | 6.51939i | 1.84710 | + | 0.600158i | ||||
\(119\) | −0.844612 | + | 2.59945i | −0.0774255 | + | 0.238291i | ||||
\(120\) | −14.4928 | + | 14.4928i | −1.32300 | + | 1.32300i | ||||
\(121\) | −5.94806 | − | 8.18680i | −0.540733 | − | 0.744254i | ||||
\(122\) | −4.57850 | −0.414518 | ||||||||
\(123\) | 0.944523 | − | 11.2236i | 0.0851648 | − | 1.01200i | ||||
\(124\) | 9.18597 | 0.824924 | ||||||||
\(125\) | 6.08321 | + | 8.37282i | 0.544099 | + | 0.748888i | ||||
\(126\) | −0.220704 | + | 0.220704i | −0.0196619 | + | 0.0196619i | ||||
\(127\) | 1.11004 | − | 3.41634i | 0.0984997 | − | 0.303151i | −0.889650 | − | 0.456643i | \(-0.849052\pi\) |
0.988150 | + | 0.153492i | \(0.0490518\pi\) | |||||||
\(128\) | −39.0820 | − | 12.6985i | −3.45439 | − | 1.12240i | ||||
\(129\) | 2.11080 | + | 0.334319i | 0.185846 | + | 0.0294351i | ||||
\(130\) | 6.07348 | − | 0.961945i | 0.532680 | − | 0.0843682i | ||||
\(131\) | 7.54778 | − | 2.45242i | 0.659453 | − | 0.214269i | 0.0398754 | − | 0.999205i | \(-0.487304\pi\) |
0.619578 | + | 0.784935i | \(0.287304\pi\) | |||||||
\(132\) | 9.08573i | 0.790812i | ||||||||
\(133\) | 1.94994 | + | 6.00128i | 0.169081 | + | 0.520377i | ||||
\(134\) | −35.9305 | − | 18.3075i | −3.10392 | − | 1.58153i | ||||
\(135\) | −2.81653 | − | 5.52776i | −0.242408 | − | 0.475753i | ||||
\(136\) | −3.39299 | + | 21.4225i | −0.290946 | + | 1.83696i | ||||
\(137\) | −5.27127 | − | 5.27127i | −0.450355 | − | 0.450355i | 0.445117 | − | 0.895472i | \(-0.353162\pi\) |
−0.895472 | + | 0.445117i | \(0.853162\pi\) | |||||||
\(138\) | 28.1989 | − | 14.3681i | 2.40045 | − | 1.22309i | ||||
\(139\) | −1.71214 | − | 1.24394i | −0.145221 | − | 0.105510i | 0.512802 | − | 0.858507i | \(-0.328607\pi\) |
−0.658024 | + | 0.752997i | \(0.728607\pi\) | |||||||
\(140\) | 3.66921 | − | 7.20124i | 0.310105 | − | 0.608616i | ||||
\(141\) | −7.72807 | + | 5.61477i | −0.650821 | + | 0.472849i | ||||
\(142\) | −1.33624 | − | 8.43670i | −0.112135 | − | 0.707992i | ||||
\(143\) | 1.02008 | − | 1.40401i | 0.0853030 | − | 0.117409i | ||||
\(144\) | −0.846415 | + | 1.16499i | −0.0705346 | + | 0.0970825i | ||||
\(145\) | 0.288196 | + | 1.81960i | 0.0239333 | + | 0.151109i | ||||
\(146\) | 1.32270 | − | 0.961000i | 0.109468 | − | 0.0795329i | ||||
\(147\) | −4.42137 | + | 8.67744i | −0.364669 | + | 0.715703i | ||||
\(148\) | 28.4099 | + | 20.6410i | 2.33528 | + | 1.69668i | ||||
\(149\) | 7.89085 | − | 4.02059i | 0.646444 | − | 0.329379i | −0.0998440 | − | 0.995003i | \(-0.531834\pi\) |
0.746288 | + | 0.665624i | \(0.231834\pi\) | |||||||
\(150\) | 12.0171 | + | 12.0171i | 0.981191 | + | 0.981191i | ||||
\(151\) | −0.837422 | + | 5.28728i | −0.0681485 | + | 0.430272i | 0.929899 | + | 0.367815i | \(0.119894\pi\) |
−0.998048 | + | 0.0624578i | \(0.980106\pi\) | |||||||
\(152\) | 22.7331 | + | 44.6163i | 1.84390 | + | 3.61886i | ||||
\(153\) | 0.189601 | + | 0.0966064i | 0.0153283 | + | 0.00781016i | ||||
\(154\) | −0.960973 | − | 2.95757i | −0.0774374 | − | 0.238328i | ||||
\(155\) | 2.02556i | 0.162697i | ||||||||
\(156\) | 17.0302 | − | 5.53346i | 1.36351 | − | 0.443032i | ||||
\(157\) | −8.26051 | + | 1.30834i | −0.659260 | + | 0.104417i | −0.477095 | − | 0.878851i | \(-0.658310\pi\) |
−0.182165 | + | 0.983268i | \(0.558310\pi\) | |||||||
\(158\) | 22.5648 | + | 3.57391i | 1.79516 | + | 0.284325i | ||||
\(159\) | −16.8079 | − | 5.46121i | −1.33295 | − | 0.433102i | ||||
\(160\) | 8.50800 | − | 26.1849i | 0.672617 | − | 2.07010i | ||||
\(161\) | −5.61821 | + | 5.61821i | −0.442777 | + | 0.442777i | ||||
\(162\) | −14.9323 | − | 20.5526i | −1.17320 | − | 1.61477i | ||||
\(163\) | −0.165656 | −0.0129752 | −0.00648760 | − | 0.999979i | \(-0.502065\pi\) | ||||
−0.00648760 | + | 0.999979i | \(0.502065\pi\) | |||||||
\(164\) | 13.3111 | + | 32.6349i | 1.03943 | + | 2.54835i | ||||
\(165\) | −2.00345 | −0.155969 | ||||||||
\(166\) | −18.0089 | − | 24.7872i | −1.39776 | − | 1.92386i | ||||
\(167\) | 4.32550 | − | 4.32550i | 0.334717 | − | 0.334717i | −0.519657 | − | 0.854375i | \(-0.673940\pi\) |
0.854375 | + | 0.519657i | \(0.173940\pi\) | |||||||
\(168\) | 6.31269 | − | 19.4285i | 0.487034 | − | 1.49894i | ||||
\(169\) | 9.11081 | + | 2.96028i | 0.700831 | + | 0.227714i | ||||
\(170\) | −7.41971 | − | 1.17517i | −0.569065 | − | 0.0901311i | ||||
\(171\) | 0.485224 | − | 0.0768519i | 0.0371060 | − | 0.00587701i | ||||
\(172\) | −6.36017 | + | 2.06654i | −0.484959 | + | 0.157573i | ||||
\(173\) | 19.1289i | 1.45434i | 0.686456 | + | 0.727171i | \(0.259165\pi\) | ||||
−0.686456 | + | 0.727171i | \(0.740835\pi\) | |||||||
\(174\) | 2.26017 | + | 6.95608i | 0.171343 | + | 0.527339i | ||||
\(175\) | −3.80152 | − | 1.93697i | −0.287368 | − | 0.146421i | ||||
\(176\) | −6.51350 | − | 12.7835i | −0.490974 | − | 0.963590i | ||||
\(177\) | −2.11920 | + | 13.3801i | −0.159289 | + | 1.00571i | ||||
\(178\) | −11.9419 | − | 11.9419i | −0.895086 | − | 0.895086i | ||||
\(179\) | −11.6175 | + | 5.91943i | −0.868335 | + | 0.442439i | −0.830613 | − | 0.556850i | \(-0.812010\pi\) |
−0.0377216 | + | 0.999288i | \(0.512010\pi\) | |||||||
\(180\) | −0.509059 | − | 0.369853i | −0.0379430 | − | 0.0275672i | ||||
\(181\) | −5.39400 | + | 10.5863i | −0.400933 | + | 0.786875i | −0.999903 | − | 0.0138960i | \(-0.995577\pi\) |
0.598971 | + | 0.800771i | \(0.295577\pi\) | |||||||
\(182\) | −4.95839 | + | 3.60248i | −0.367541 | + | 0.267034i | ||||
\(183\) | −0.459909 | − | 2.90375i | −0.0339974 | − | 0.214651i | ||||
\(184\) | −37.0601 | + | 51.0088i | −2.73211 | + | 3.76042i | ||||
\(185\) | −4.55145 | + | 6.26454i | −0.334630 | + | 0.460578i | ||||
\(186\) | 1.25800 | + | 7.94269i | 0.0922409 | + | 0.582386i | ||||
\(187\) | −1.71522 | + | 1.24618i | −0.125429 | + | 0.0911298i | ||||
\(188\) | 13.5705 | − | 26.6335i | 0.989728 | − | 1.94245i | ||||
\(189\) | 5.00254 | + | 3.63456i | 0.363882 | + | 0.264375i | ||||
\(190\) | −15.4529 | + | 7.87365i | −1.12107 | + | 0.571215i | ||||
\(191\) | −0.305210 | − | 0.305210i | −0.0220842 | − | 0.0220842i | 0.695978 | − | 0.718063i | \(-0.254971\pi\) |
−0.718063 | + | 0.695978i | \(0.754971\pi\) | |||||||
\(192\) | 8.68499 | − | 54.8349i | 0.626785 | − | 3.95737i | ||||
\(193\) | −9.62661 | − | 18.8933i | −0.692938 | − | 1.35997i | −0.922242 | − | 0.386613i | \(-0.873645\pi\) |
0.229304 | − | 0.973355i | \(-0.426355\pi\) | |||||||
\(194\) | 41.1576 | + | 20.9709i | 2.95495 | + | 1.50562i | ||||
\(195\) | 1.22016 | + | 3.75526i | 0.0873774 | + | 0.268920i | ||||
\(196\) | − | 30.4751i | − | 2.17679i | ||||||
\(197\) | 22.2882 | − | 7.24188i | 1.58797 | − | 0.515963i | 0.623876 | − | 0.781524i | \(-0.285557\pi\) |
0.964094 | + | 0.265561i | \(0.0855572\pi\) | |||||||
\(198\) | −0.239129 | + | 0.0378744i | −0.0169942 | + | 0.00269161i | ||||
\(199\) | 5.20701 | + | 0.824709i | 0.369115 | + | 0.0584621i | 0.338237 | − | 0.941061i | \(-0.390170\pi\) |
0.0308784 | + | 0.999523i | \(0.490170\pi\) | |||||||
\(200\) | −32.2001 | − | 10.4624i | −2.27689 | − | 0.739807i | ||||
\(201\) | 8.00167 | − | 24.6266i | 0.564394 | − | 1.73703i | ||||
\(202\) | 18.1973 | − | 18.1973i | 1.28036 | − | 1.28036i | ||||
\(203\) | −1.07929 | − | 1.48552i | −0.0757515 | − | 0.104263i | ||||
\(204\) | −21.8758 | −1.53161 | ||||||||
\(205\) | −7.19617 | + | 2.93518i | −0.502602 | + | 0.205002i | ||||
\(206\) | −28.6841 | −1.99851 | ||||||||
\(207\) | 0.363593 | + | 0.500443i | 0.0252715 | + | 0.0347832i | ||||
\(208\) | −19.9944 | + | 19.9944i | −1.38636 | + | 1.38636i | ||||
\(209\) | −1.51254 | + | 4.65513i | −0.104625 | + | 0.322002i | ||||
\(210\) | 6.72907 | + | 2.18641i | 0.464350 | + | 0.150877i | ||||
\(211\) | 21.8950 | + | 3.46783i | 1.50731 | + | 0.238735i | 0.854766 | − | 0.519013i | \(-0.173701\pi\) |
0.652547 | + | 0.757748i | \(0.273701\pi\) | |||||||
\(212\) | 54.6211 | − | 8.65113i | 3.75139 | − | 0.594162i | ||||
\(213\) | 5.21645 | − | 1.69493i | 0.357425 | − | 0.116134i | ||||
\(214\) | − | 13.6957i | − | 0.936219i | ||||||
\(215\) | −0.455684 | − | 1.40245i | −0.0310774 | − | 0.0956465i | ||||
\(216\) | 43.7209 | + | 22.2769i | 2.97483 | + | 1.51575i | ||||
\(217\) | −0.916550 | − | 1.79883i | −0.0622195 | − | 0.122113i | ||||
\(218\) | −3.45911 | + | 21.8400i | −0.234280 | + | 1.47919i | ||||
\(219\) | 0.742345 | + | 0.742345i | 0.0501630 | + | 0.0501630i | ||||
\(220\) | 5.58592 | − | 2.84617i | 0.376603 | − | 0.191889i | ||||
\(221\) | 3.38045 | + | 2.45604i | 0.227394 | + | 0.165211i | ||||
\(222\) | −13.9567 | + | 27.3915i | −0.936710 | + | 1.83840i | ||||
\(223\) | −19.1614 | + | 13.9216i | −1.28314 | + | 0.932258i | −0.999643 | − | 0.0267138i | \(-0.991496\pi\) |
−0.283500 | + | 0.958972i | \(0.591496\pi\) | |||||||
\(224\) | 4.29282 | + | 27.1038i | 0.286826 | + | 1.81095i | ||||
\(225\) | −0.195245 | + | 0.268731i | −0.0130163 | + | 0.0179154i | ||||
\(226\) | 3.08995 | − | 4.25295i | 0.205540 | − | 0.282902i | ||||
\(227\) | −2.24211 | − | 14.1561i | −0.148814 | − | 0.939575i | −0.943215 | − | 0.332182i | \(-0.892215\pi\) |
0.794401 | − | 0.607393i | \(-0.207785\pi\) | |||||||
\(228\) | −40.8586 | + | 29.6855i | −2.70593 | + | 1.96597i | ||||
\(229\) | 9.37117 | − | 18.3920i | 0.619264 | − | 1.21537i | −0.341988 | − | 0.939704i | \(-0.611100\pi\) |
0.961252 | − | 0.275670i | \(-0.0888997\pi\) | |||||||
\(230\) | −17.6670 | − | 12.8358i | −1.16493 | − | 0.846369i | ||||
\(231\) | 1.77920 | − | 0.906549i | 0.117063 | − | 0.0596466i | ||||
\(232\) | −10.3034 | − | 10.3034i | −0.676450 | − | 0.676450i | ||||
\(233\) | 2.82151 | − | 17.8143i | 0.184843 | − | 1.16705i | −0.704462 | − | 0.709741i | \(-0.748812\pi\) |
0.889306 | − | 0.457313i | \(-0.151188\pi\) | |||||||
\(234\) | 0.216628 | + | 0.425156i | 0.0141614 | + | 0.0277933i | ||||
\(235\) | 5.87284 | + | 2.99236i | 0.383102 | + | 0.195200i | ||||
\(236\) | −13.0996 | − | 40.3163i | −0.852709 | − | 2.62437i | ||||
\(237\) | 14.6699i | 0.952913i | ||||||||
\(238\) | 7.12096 | − | 2.31374i | 0.461583 | − | 0.149977i | ||||
\(239\) | −22.4231 | + | 3.55147i | −1.45043 | + | 0.229725i | −0.831414 | − | 0.555653i | \(-0.812468\pi\) |
−0.619015 | + | 0.785379i | \(0.712468\pi\) | |||||||
\(240\) | 32.2410 | + | 5.10647i | 2.08115 | + | 0.329621i | ||||
\(241\) | −2.97068 | − | 0.965234i | −0.191359 | − | 0.0621762i | 0.211770 | − | 0.977320i | \(-0.432077\pi\) |
−0.403129 | + | 0.915143i | \(0.632077\pi\) | |||||||
\(242\) | −8.56635 | + | 26.3645i | −0.550666 | + | 1.69478i | ||||
\(243\) | 0.691854 | − | 0.691854i | 0.0443824 | − | 0.0443824i | ||||
\(244\) | 5.40745 | + | 7.44271i | 0.346176 | + | 0.476471i | ||||
\(245\) | 6.71992 | 0.429320 | ||||||||
\(246\) | −26.3949 | + | 15.9788i | −1.68288 | + | 1.01877i | ||||
\(247\) | 9.64672 | 0.613806 | ||||||||
\(248\) | −9.41679 | − | 12.9611i | −0.597967 | − | 0.823030i | ||||
\(249\) | 13.9114 | − | 13.9114i | 0.881598 | − | 0.881598i | ||||
\(250\) | 8.76100 | − | 26.9636i | 0.554094 | − | 1.70533i | ||||
\(251\) | 6.26375 | + | 2.03521i | 0.395364 | + | 0.128462i | 0.499950 | − | 0.866054i | \(-0.333352\pi\) |
−0.104586 | + | 0.994516i | \(0.533352\pi\) | |||||||
\(252\) | 0.619435 | + | 0.0981089i | 0.0390207 | + | 0.00618028i | ||||
\(253\) | −6.08724 | + | 0.964124i | −0.382702 | + | 0.0606140i | ||||
\(254\) | −9.35875 | + | 3.04084i | −0.587220 | + | 0.190799i | ||||
\(255\) | − | 4.82373i | − | 0.302074i | ||||||
\(256\) | 15.2801 | + | 47.0273i | 0.955005 | + | 2.93920i | ||||
\(257\) | −6.08184 | − | 3.09885i | −0.379375 | − | 0.193301i | 0.253896 | − | 0.967232i | \(-0.418288\pi\) |
−0.633270 | + | 0.773931i | \(0.718288\pi\) | |||||||
\(258\) | −2.65786 | − | 5.21634i | −0.165471 | − | 0.324755i | ||||
\(259\) | 1.20734 | − | 7.62284i | 0.0750204 | − | 0.473660i | ||||
\(260\) | −8.73682 | − | 8.73682i | −0.541834 | − | 0.541834i | ||||
\(261\) | −0.127375 | + | 0.0649010i | −0.00788433 | + | 0.00401727i | ||||
\(262\) | −17.5885 | − | 12.7788i | −1.08662 | − | 0.789475i | ||||
\(263\) | 5.84108 | − | 11.4638i | 0.360177 | − | 0.706887i | −0.637818 | − | 0.770187i | \(-0.720163\pi\) |
0.997995 | + | 0.0633007i | \(0.0201627\pi\) | |||||||
\(264\) | 12.8197 | − | 9.31404i | 0.788996 | − | 0.573239i | ||||
\(265\) | 1.90762 | + | 12.0443i | 0.117184 | + | 0.739873i | ||||
\(266\) | 10.1605 | − | 13.9847i | 0.622978 | − | 0.857456i | ||||
\(267\) | 6.37418 | − | 8.77331i | 0.390094 | − | 0.536918i | ||||
\(268\) | 12.6755 | + | 80.0300i | 0.774280 | + | 4.88861i | ||||
\(269\) | 13.0297 | − | 9.46664i | 0.794435 | − | 0.577191i | −0.114841 | − | 0.993384i | \(-0.536636\pi\) |
0.909276 | + | 0.416193i | \(0.136636\pi\) | |||||||
\(270\) | −7.71564 | + | 15.1428i | −0.469559 | + | 0.921561i | ||||
\(271\) | 16.7793 | + | 12.1909i | 1.01927 | + | 0.740544i | 0.966133 | − | 0.258043i | \(-0.0830776\pi\) |
0.0531382 | + | 0.998587i | \(0.483078\pi\) | |||||||
\(272\) | 30.7788 | − | 15.6826i | 1.86624 | − | 0.950897i | ||||
\(273\) | −2.78281 | − | 2.78281i | −0.168424 | − | 0.168424i | ||||
\(274\) | −3.19463 | + | 20.1701i | −0.192994 | + | 1.21852i | ||||
\(275\) | −1.50249 | − | 2.94880i | −0.0906033 | − | 0.177819i | ||||
\(276\) | −56.6608 | − | 28.8701i | −3.41058 | − | 1.73778i | ||||
\(277\) | 1.50210 | + | 4.62298i | 0.0902524 | + | 0.277768i | 0.985987 | − | 0.166820i | \(-0.0533499\pi\) |
−0.895735 | + | 0.444588i | \(0.853350\pi\) | |||||||
\(278\) | 5.79746i | 0.347708i | ||||||||
\(279\) | −0.149486 | + | 0.0485709i | −0.00894948 | + | 0.00290786i | ||||
\(280\) | −13.9221 | + | 2.20505i | −0.832006 | + | 0.131777i | ||||
\(281\) | 5.74924 | + | 0.910591i | 0.342971 | + | 0.0543213i | 0.325544 | − | 0.945527i | \(-0.394453\pi\) |
0.0174270 | + | 0.999848i | \(0.494453\pi\) | |||||||
\(282\) | 24.8873 | + | 8.08636i | 1.48201 | + | 0.481536i | ||||
\(283\) | −4.46953 | + | 13.7558i | −0.265686 | + | 0.817697i | 0.725849 | + | 0.687854i | \(0.241447\pi\) |
−0.991535 | + | 0.129843i | \(0.958553\pi\) | |||||||
\(284\) | −12.1363 | + | 12.1363i | −0.720160 | + | 0.720160i | ||||
\(285\) | −6.54582 | − | 9.00955i | −0.387741 | − | 0.533680i | ||||
\(286\) | −4.75413 | −0.281117 | ||||||||
\(287\) | 5.06254 | − | 5.86285i | 0.298832 | − | 0.346073i | ||||
\(288\) | 2.13646 | 0.125892 | ||||||||
\(289\) | 6.99191 | + | 9.62354i | 0.411289 | + | 0.566091i | ||||
\(290\) | 3.56859 | − | 3.56859i | 0.209555 | − | 0.209555i | ||||
\(291\) | −9.16575 | + | 28.2093i | −0.537306 | + | 1.65366i | ||||
\(292\) | −3.12436 | − | 1.01517i | −0.182839 | − | 0.0594081i | ||||
\(293\) | −19.4615 | − | 3.08239i | −1.13695 | − | 0.180075i | −0.440550 | − | 0.897728i | \(-0.645216\pi\) |
−0.696401 | + | 0.717653i | \(0.745216\pi\) | |||||||
\(294\) | 26.3504 | − | 4.17350i | 1.53679 | − | 0.243403i | ||||
\(295\) | 8.88997 | − | 2.88853i | 0.517594 | − | 0.168177i | ||||
\(296\) | − | 61.2451i | − | 3.55980i | ||||||
\(297\) | 1.48219 | + | 4.56170i | 0.0860052 | + | 0.264697i | ||||
\(298\) | −21.6163 | − | 11.0140i | −1.25220 | − | 0.638026i | ||||
\(299\) | 5.51445 | + | 10.8227i | 0.318909 | + | 0.625893i | ||||
\(300\) | 5.34192 | − | 33.7275i | 0.308416 | − | 1.94726i | ||||
\(301\) | 1.03928 | + | 1.03928i | 0.0599031 | + | 0.0599031i | ||||
\(302\) | 13.0662 | − | 6.65757i | 0.751877 | − | 0.383100i | ||||
\(303\) | 13.3689 | + | 9.71309i | 0.768024 | + | 0.558002i | ||||
\(304\) | 36.2060 | − | 71.0583i | 2.07656 | − | 4.07547i | ||||
\(305\) | −1.64116 | + | 1.19237i | −0.0939725 | + | 0.0682750i | ||||
\(306\) | −0.0911903 | − | 0.575753i | −0.00521300 | − | 0.0329136i | ||||
\(307\) | 5.79055 | − | 7.97001i | 0.330484 | − | 0.454872i | −0.611148 | − | 0.791516i | \(-0.709292\pi\) |
0.941632 | + | 0.336644i | \(0.109292\pi\) | |||||||
\(308\) | −3.67280 | + | 5.05518i | −0.209277 | + | 0.288046i | ||||
\(309\) | −2.88131 | − | 18.1918i | −0.163912 | − | 1.03490i | ||||
\(310\) | 4.48910 | − | 3.26152i | 0.254963 | − | 0.185242i | ||||
\(311\) | −11.5241 | + | 22.6173i | −0.653472 | + | 1.28251i | 0.291879 | + | 0.956455i | \(0.405720\pi\) |
−0.945351 | + | 0.326056i | \(0.894280\pi\) | |||||||
\(312\) | −25.2657 | − | 18.3566i | −1.43039 | − | 1.03924i | ||||
\(313\) | −23.3678 | + | 11.9065i | −1.32083 | + | 0.672995i | −0.965170 | − | 0.261622i | \(-0.915743\pi\) |
−0.355656 | + | 0.934617i | \(0.615743\pi\) | |||||||
\(314\) | 16.2005 | + | 16.2005i | 0.914248 | + | 0.914248i | ||||
\(315\) | −0.0216335 | + | 0.136589i | −0.00121891 | + | 0.00769591i | ||||
\(316\) | −20.8405 | − | 40.9018i | −1.17237 | − | 2.30091i | ||||
\(317\) | −18.5064 | − | 9.42948i | −1.03942 | − | 0.529612i | −0.150950 | − | 0.988541i | \(-0.548233\pi\) |
−0.888473 | + | 0.458929i | \(0.848233\pi\) | |||||||
\(318\) | 14.9605 | + | 46.0436i | 0.838942 | + | 2.58200i | ||||
\(319\) | − | 1.42432i | − | 0.0797466i | ||||||
\(320\) | −36.4332 | + | 11.8379i | −2.03668 | + | 0.661756i | ||||
\(321\) | 8.68601 | − | 1.37573i | 0.484806 | − | 0.0767857i | ||||
\(322\) | 21.4976 | + | 3.40489i | 1.19801 | + | 0.189747i | ||||
\(323\) | −11.2082 | − | 3.64176i | −0.623640 | − | 0.202633i | ||||
\(324\) | −15.7740 | + | 48.5474i | −0.876334 | + | 2.69708i | ||||
\(325\) | −4.61215 | + | 4.61215i | −0.255836 | + | 0.255836i | ||||
\(326\) | 0.266737 | + | 0.367132i | 0.0147732 | + | 0.0203336i | ||||
\(327\) | −14.1987 | −0.785188 | ||||||||
\(328\) | 32.4011 | − | 52.2365i | 1.78905 | − | 2.88428i | ||||
\(329\) | −6.56951 | −0.362189 | ||||||||
\(330\) | 3.22593 | + | 4.44011i | 0.177582 | + | 0.244420i | ||||
\(331\) | −4.50312 | + | 4.50312i | −0.247514 | + | 0.247514i | −0.819949 | − | 0.572436i | \(-0.805999\pi\) |
0.572436 | + | 0.819949i | \(0.305999\pi\) | |||||||
\(332\) | −19.0240 | + | 58.5499i | −1.04408 | + | 3.21334i | ||||
\(333\) | −0.571462 | − | 0.185679i | −0.0313159 | − | 0.0101752i | ||||
\(334\) | −16.5512 | − | 2.62145i | −0.905639 | − | 0.143439i | ||||
\(335\) | −17.6470 | + | 2.79502i | −0.964161 | + | 0.152708i | ||||
\(336\) | −30.9428 | + | 10.0539i | −1.68807 | + | 0.548487i | ||||
\(337\) | 11.0639i | 0.602688i | 0.953515 | + | 0.301344i | \(0.0974353\pi\) | ||||
−0.953515 | + | 0.301344i | \(0.902565\pi\) | |||||||
\(338\) | −8.10942 | − | 24.9582i | −0.441094 | − | 1.35755i | ||||
\(339\) | 3.00766 | + | 1.53248i | 0.163354 | + | 0.0832329i | ||||
\(340\) | 6.85273 | + | 13.4492i | 0.371642 | + | 0.729388i | ||||
\(341\) | 0.244979 | − | 1.54674i | 0.0132664 | − | 0.0837606i | ||||
\(342\) | −0.951621 | − | 0.951621i | −0.0514578 | − | 0.0514578i | ||||
\(343\) | −13.5130 | + | 6.88519i | −0.729631 | + | 0.371766i | ||||
\(344\) | 9.43581 | + | 6.85552i | 0.508745 | + | 0.369625i | ||||
\(345\) | 6.36601 | − | 12.4940i | 0.342735 | − | 0.672655i | ||||
\(346\) | 42.3940 | − | 30.8010i | 2.27912 | − | 1.65587i | ||||
\(347\) | 0.198212 | + | 1.25146i | 0.0106406 | + | 0.0671819i | 0.992437 | − | 0.122753i | \(-0.0391723\pi\) |
−0.981797 | + | 0.189935i | \(0.939172\pi\) | |||||||
\(348\) | 8.63828 | − | 11.8896i | 0.463061 | − | 0.637348i | ||||
\(349\) | −8.34115 | + | 11.4806i | −0.446491 | + | 0.614543i | −0.971639 | − | 0.236468i | \(-0.924010\pi\) |
0.525148 | + | 0.851011i | \(0.324010\pi\) | |||||||
\(350\) | 1.82838 | + | 11.5439i | 0.0977309 | + | 0.617049i | ||||
\(351\) | 7.64774 | − | 5.55641i | 0.408206 | − | 0.296579i | ||||
\(352\) | −9.66373 | + | 18.9661i | −0.515078 | + | 1.01090i | ||||
\(353\) | −0.827363 | − | 0.601115i | −0.0440361 | − | 0.0319941i | 0.565549 | − | 0.824714i | \(-0.308664\pi\) |
−0.609586 | + | 0.792720i | \(0.708664\pi\) | |||||||
\(354\) | 33.0657 | − | 16.8478i | 1.75742 | − | 0.895452i | ||||
\(355\) | −2.67613 | − | 2.67613i | −0.142034 | − | 0.142034i | ||||
\(356\) | −5.30851 | + | 33.5166i | −0.281350 | + | 1.77638i | ||||
\(357\) | 2.18270 | + | 4.28380i | 0.115521 | + | 0.226723i | ||||
\(358\) | 31.8252 | + | 16.2157i | 1.68201 | + | 0.857028i | ||||
\(359\) | −3.46550 | − | 10.6657i | −0.182902 | − | 0.562915i | 0.817004 | − | 0.576632i | \(-0.195633\pi\) |
−0.999906 | + | 0.0137176i | \(0.995633\pi\) | |||||||
\(360\) | 1.09741i | 0.0578387i | ||||||||
\(361\) | −7.80596 | + | 2.53631i | −0.410840 | + | 0.133490i | ||||
\(362\) | 32.1471 | − | 5.09159i | 1.68961 | − | 0.267608i | ||||
\(363\) | −17.5812 | − | 2.78459i | −0.922776 | − | 0.146153i | ||||
\(364\) | 11.7122 | + | 3.80554i | 0.613888 | + | 0.199464i | ||||
\(365\) | 0.223850 | − | 0.688939i | 0.0117168 | − | 0.0360607i | ||||
\(366\) | −5.69484 | + | 5.69484i | −0.297674 | + | 0.297674i | ||||
\(367\) | 16.8756 | + | 23.2272i | 0.880897 | + | 1.21245i | 0.976172 | + | 0.217000i | \(0.0696271\pi\) |
−0.0952746 | + | 0.995451i | \(0.530373\pi\) | |||||||
\(368\) | 100.417 | 5.23462 | ||||||||
\(369\) | −0.389173 | − | 0.460694i | −0.0202595 | − | 0.0239827i | ||||
\(370\) | 21.2123 | 1.10278 | ||||||||
\(371\) | −7.14404 | − | 9.83293i | −0.370900 | − | 0.510500i | ||||
\(372\) | 11.4257 | − | 11.4257i | 0.592395 | − | 0.592395i | ||||
\(373\) | 10.5118 | − | 32.3520i | 0.544281 | − | 1.67512i | −0.178414 | − | 0.983956i | \(-0.557097\pi\) |
0.722694 | − | 0.691168i | \(-0.242903\pi\) | |||||||
\(374\) | 5.52365 | + | 1.79474i | 0.285621 | + | 0.0928039i | ||||
\(375\) | 17.9807 | + | 2.84787i | 0.928521 | + | 0.147063i | ||||
\(376\) | −51.4905 | + | 8.15530i | −2.65542 | + | 0.420577i | ||||
\(377\) | −2.66974 | + | 0.867450i | −0.137498 | + | 0.0446760i | ||||
\(378\) | − | 16.9391i | − | 0.871253i | ||||||
\(379\) | −2.16181 | − | 6.65338i | −0.111045 | − | 0.341761i | 0.880057 | − | 0.474869i | \(-0.157504\pi\) |
−0.991102 | + | 0.133108i | \(0.957504\pi\) | |||||||
\(380\) | 31.0499 | + | 15.8207i | 1.59283 | + | 0.811587i | ||||
\(381\) | −2.86863 | − | 5.63000i | −0.146964 | − | 0.288434i | ||||
\(382\) | −0.184971 | + | 1.16786i | −0.00946392 | + | 0.0597528i | ||||
\(383\) | 13.4809 | + | 13.4809i | 0.688840 | + | 0.688840i | 0.961976 | − | 0.273136i | \(-0.0880608\pi\) |
−0.273136 | + | 0.961976i | \(0.588061\pi\) | |||||||
\(384\) | −64.4057 | + | 32.8164i | −3.28669 | + | 1.67465i | ||||
\(385\) | −1.11470 | − | 0.809873i | −0.0568101 | − | 0.0412750i | ||||
\(386\) | −26.3712 | + | 51.7564i | −1.34226 | + | 2.63433i | ||||
\(387\) | 0.0925740 | − | 0.0672589i | 0.00470580 | − | 0.00341896i | ||||
\(388\) | −14.5195 | − | 91.6727i | −0.737117 | − | 4.65398i | ||||
\(389\) | 10.7762 | − | 14.8322i | 0.546377 | − | 0.752024i | −0.443138 | − | 0.896453i | \(-0.646135\pi\) |
0.989515 | + | 0.144430i | \(0.0461348\pi\) | |||||||
\(390\) | 6.35784 | − | 8.75082i | 0.321942 | − | 0.443115i | ||||
\(391\) | −2.32133 | − | 14.6563i | −0.117395 | − | 0.741200i | ||||
\(392\) | −42.9994 | + | 31.2409i | −2.17180 | + | 1.57790i | ||||
\(393\) | 6.33772 | − | 12.4385i | 0.319696 | − | 0.627438i | ||||
\(394\) | −51.9378 | − | 37.7350i | −2.61659 | − | 1.90106i | ||||
\(395\) | 9.01908 | − | 4.59545i | 0.453799 | − | 0.231222i | ||||
\(396\) | 0.343992 | + | 0.343992i | 0.0172862 | + | 0.0172862i | ||||
\(397\) | −1.30237 | + | 8.22286i | −0.0653642 | + | 0.412694i | 0.933211 | + | 0.359329i | \(0.116994\pi\) |
−0.998575 | + | 0.0533644i | \(0.983006\pi\) | |||||||
\(398\) | −6.55650 | − | 12.8679i | −0.328648 | − | 0.645008i | ||||
\(399\) | 9.88990 | + | 5.03915i | 0.495114 | + | 0.252273i | ||||
\(400\) | 16.6631 | + | 51.2837i | 0.833153 | + | 2.56418i | ||||
\(401\) | 4.20180i | 0.209828i | 0.994481 | + | 0.104914i | \(0.0334567\pi\) | ||||
−0.994481 | + | 0.104914i | \(0.966543\pi\) | |||||||
\(402\) | −67.4624 | + | 21.9199i | −3.36472 | + | 1.09326i | ||||
\(403\) | −3.04840 | + | 0.482819i | −0.151851 | + | 0.0240509i | ||||
\(404\) | −51.0732 | − | 8.08920i | −2.54099 | − | 0.402453i | ||||
\(405\) | −10.7050 | − | 3.47825i | −0.531934 | − | 0.172836i | ||||
\(406\) | −1.55439 | + | 4.78392i | −0.0771430 | + | 0.237422i | ||||
\(407\) | 4.23321 | − | 4.23321i | 0.209832 | − | 0.209832i | ||||
\(408\) | 22.4255 | + | 30.8660i | 1.11023 | + | 1.52809i | ||||
\(409\) | 38.6631 | 1.91177 | 0.955883 | − | 0.293746i | \(-0.0949020\pi\) | ||||
0.955883 | + | 0.293746i | \(0.0949020\pi\) | |||||||
\(410\) | 18.0922 | + | 11.2222i | 0.893509 | + | 0.554224i | ||||
\(411\) | −13.1130 | −0.646819 | ||||||||
\(412\) | 33.8774 | + | 46.6282i | 1.66902 | + | 2.29721i | ||||
\(413\) | −6.58786 | + | 6.58786i | −0.324167 | + | 0.324167i | ||||
\(414\) | 0.523645 | − | 1.61161i | 0.0257357 | − | 0.0792064i | ||||
\(415\) | −12.9106 | − | 4.19490i | −0.633755 | − | 0.205919i | ||||
\(416\) | 41.4355 | + | 6.56274i | 2.03154 | + | 0.321765i | ||||
\(417\) | −3.67683 | + | 0.582353i | −0.180055 | + | 0.0285179i | ||||
\(418\) | 12.7523 | − | 4.14347i | 0.623735 | − | 0.202664i | ||||
\(419\) | 8.92254i | 0.435895i | 0.975961 | + | 0.217947i | \(0.0699361\pi\) | ||||
−0.975961 | + | 0.217947i | \(0.930064\pi\) | |||||||
\(420\) | −4.39321 | − | 13.5209i | −0.214367 | − | 0.659753i | ||||
\(421\) | 17.2160 | + | 8.77197i | 0.839054 | + | 0.427520i | 0.820045 | − | 0.572300i | \(-0.193949\pi\) |
0.0190099 | + | 0.999819i | \(0.493949\pi\) | |||||||
\(422\) | −27.5695 | − | 54.1081i | −1.34206 | − | 2.63394i | ||||
\(423\) | −0.0800109 | + | 0.505169i | −0.00389026 | + | 0.0245622i | ||||
\(424\) | −68.2001 | − | 68.2001i | −3.31209 | − | 3.31209i | ||||
\(425\) | 7.09983 | − | 3.61754i | 0.344392 | − | 0.175477i | ||||
\(426\) | −12.1558 | − | 8.83170i | −0.588950 | − | 0.427897i | ||||
\(427\) | 0.917921 | − | 1.80152i | 0.0444213 | − | 0.0871817i | ||||
\(428\) | −22.2634 | + | 16.1753i | −1.07614 | + | 0.781864i | ||||
\(429\) | −0.477550 | − | 3.01513i | −0.0230563 | − | 0.145572i | ||||
\(430\) | −2.37442 | + | 3.26811i | −0.114505 | + | 0.157602i | ||||
\(431\) | 11.6004 | − | 15.9666i | 0.558773 | − | 0.769085i | −0.432397 | − | 0.901683i | \(-0.642332\pi\) |
0.991170 | + | 0.132598i | \(0.0423320\pi\) | |||||||
\(432\) | −12.2254 | − | 77.1880i | −0.588193 | − | 3.71371i | ||||
\(433\) | −8.46295 | + | 6.14869i | −0.406703 | + | 0.295487i | −0.772266 | − | 0.635299i | \(-0.780877\pi\) |
0.365562 | + | 0.930787i | \(0.380877\pi\) | |||||||
\(434\) | −2.51081 | + | 4.92774i | −0.120523 | + | 0.236539i | ||||
\(435\) | 2.62172 | + | 1.90479i | 0.125702 | + | 0.0913276i | ||||
\(436\) | 39.5880 | − | 20.1711i | 1.89592 | − | 0.966019i | ||||
\(437\) | −24.2243 | − | 24.2243i | −1.15881 | − | 1.15881i | ||||
\(438\) | 0.449894 | − | 2.84052i | 0.0214968 | − | 0.135725i | ||||
\(439\) | 13.6513 | + | 26.7922i | 0.651540 | + | 1.27872i | 0.946344 | + | 0.323162i | \(0.104746\pi\) |
−0.294803 | + | 0.955558i | \(0.595254\pi\) | |||||||
\(440\) | −9.74213 | − | 4.96386i | −0.464438 | − | 0.236643i | ||||
\(441\) | 0.161137 | + | 0.495930i | 0.00767321 | + | 0.0236157i | ||||
\(442\) | − | 11.4465i | − | 0.544456i | ||||||
\(443\) | −20.8472 | + | 6.77365i | −0.990479 | + | 0.321826i | −0.759055 | − | 0.651027i | \(-0.774338\pi\) |
−0.231424 | + | 0.972853i | \(0.574338\pi\) | |||||||
\(444\) | 61.0106 | − | 9.66313i | 2.89543 | − | 0.458592i | ||||
\(445\) | −7.39059 | − | 1.17056i | −0.350348 | − | 0.0554896i | ||||
\(446\) | 61.7069 | + | 20.0498i | 2.92190 | + | 0.949384i | ||||
\(447\) | 4.81391 | − | 14.8157i | 0.227690 | − | 0.700759i | ||||
\(448\) | 26.9986 | − | 26.9986i | 1.27556 | − | 1.27556i | ||||
\(449\) | −2.93496 | − | 4.03963i | −0.138509 | − | 0.190642i | 0.734127 | − | 0.679012i | \(-0.237592\pi\) |
−0.872637 | + | 0.488370i | \(0.837592\pi\) | |||||||
\(450\) | 0.909950 | 0.0428955 | ||||||||
\(451\) | 5.85007 | − | 1.37100i | 0.275469 | − | 0.0645580i | ||||
\(452\) | −10.5629 | −0.496836 | ||||||||
\(453\) | 5.53482 | + | 7.61803i | 0.260049 | + | 0.357926i | ||||
\(454\) | −27.7630 | + | 27.7630i | −1.30298 | + | 1.30298i | ||||
\(455\) | −0.839142 | + | 2.58261i | −0.0393396 | + | 0.121075i | ||||
\(456\) | 83.7706 | + | 27.2187i | 3.92292 | + | 1.27463i | ||||
\(457\) | 12.1280 | + | 1.92089i | 0.567326 | + | 0.0898556i | 0.433507 | − | 0.901150i | \(-0.357276\pi\) |
0.133819 | + | 0.991006i | \(0.457276\pi\) | |||||||
\(458\) | −55.8501 | + | 8.84579i | −2.60970 | + | 0.413336i | ||||
\(459\) | −10.9832 | + | 3.56867i | −0.512654 | + | 0.166571i | ||||
\(460\) | 43.8788i | 2.04586i | ||||||||
\(461\) | 9.09708 | + | 27.9979i | 0.423693 | + | 1.30399i | 0.904240 | + | 0.427025i | \(0.140438\pi\) |
−0.480547 | + | 0.876969i | \(0.659562\pi\) | |||||||
\(462\) | −4.87397 | − | 2.48341i | −0.226758 | − | 0.115539i | ||||
\(463\) | 8.27308 | + | 16.2368i | 0.384483 | + | 0.754590i | 0.999422 | − | 0.0339843i | \(-0.0108196\pi\) |
−0.614940 | + | 0.788574i | \(0.710820\pi\) | |||||||
\(464\) | −3.63035 | + | 22.9212i | −0.168535 | + | 1.06409i | ||||
\(465\) | 2.51943 | + | 2.51943i | 0.116836 | + | 0.116836i | ||||
\(466\) | −44.0238 | + | 22.4312i | −2.03936 | + | 1.03911i | ||||
\(467\) | −13.9475 | − | 10.1335i | −0.645414 | − | 0.468921i | 0.216292 | − | 0.976329i | \(-0.430604\pi\) |
−0.861706 | + | 0.507408i | \(0.830604\pi\) | |||||||
\(468\) | 0.435276 | − | 0.854277i | 0.0201206 | − | 0.0394890i | ||||
\(469\) | 14.4071 | − | 10.4673i | 0.665256 | − | 0.483337i | ||||
\(470\) | −2.82460 | − | 17.8338i | −0.130289 | − | 0.822613i | ||||
\(471\) | −8.64726 | + | 11.9019i | −0.398445 | + | 0.548412i | ||||
\(472\) | −43.4563 | + | 59.8125i | −2.00024 | + | 2.75309i | ||||
\(473\) | 0.178347 | + | 1.12604i | 0.00820043 | + | 0.0517755i | ||||
\(474\) | 32.5119 | − | 23.6213i | 1.49332 | − | 1.08496i | ||||
\(475\) | 8.35174 | − | 16.3912i | 0.383204 | − | 0.752080i | ||||
\(476\) | −12.1714 | − | 8.84303i | −0.557875 | − | 0.405320i | ||||
\(477\) | −0.843122 | + | 0.429592i | −0.0386039 | + | 0.0196697i | ||||
\(478\) | 43.9762 | + | 43.9762i | 2.01142 | + | 2.01142i | ||||
\(479\) | 3.50656 | − | 22.1396i | 0.160219 | − | 1.01158i | −0.768244 | − | 0.640157i | \(-0.778869\pi\) |
0.928463 | − | 0.371425i | \(-0.121131\pi\) | |||||||
\(480\) | −21.9870 | − | 43.1518i | −1.00356 | − | 1.96960i | ||||
\(481\) | −10.5128 | − | 5.35656i | −0.479344 | − | 0.244238i | ||||
\(482\) | 2.64417 | + | 8.13792i | 0.120439 | + | 0.370672i | ||||
\(483\) | 13.9761i | 0.635935i | ||||||||
\(484\) | 52.9749 | − | 17.2126i | 2.40795 | − | 0.782391i | ||||
\(485\) | 20.2143 | − | 3.20163i | 0.917885 | − | 0.145379i | ||||
\(486\) | −2.64732 | − | 0.419294i | −0.120085 | − | 0.0190196i | ||||
\(487\) | −0.367574 | − | 0.119432i | −0.0166564 | − | 0.00541198i | 0.300677 | − | 0.953726i | \(-0.402787\pi\) |
−0.317333 | + | 0.948314i | \(0.602787\pi\) | |||||||
\(488\) | 4.95810 | − | 15.2595i | 0.224443 | − | 0.690764i | ||||
\(489\) | −0.206047 | + | 0.206047i | −0.00931776 | + | 0.00931776i | ||||
\(490\) | −10.8203 | − | 14.8929i | −0.488812 | − | 0.672792i | ||||
\(491\) | −26.9030 | −1.21411 | −0.607057 | − | 0.794658i | \(-0.707650\pi\) | ||||
−0.607057 | + | 0.794658i | \(0.707650\pi\) | |||||||
\(492\) | 57.1486 | + | 24.0353i | 2.57646 | + | 1.08359i | ||||
\(493\) | 3.42934 | 0.154450 | ||||||||
\(494\) | −15.5330 | − | 21.3793i | −0.698863 | − | 0.961902i | ||||
\(495\) | −0.0758521 | + | 0.0758521i | −0.00340930 | + | 0.00340930i | ||||
\(496\) | −7.88475 | + | 24.2668i | −0.354036 | + | 1.08961i | ||||
\(497\) | 3.58752 | + | 1.16566i | 0.160922 | + | 0.0522868i | ||||
\(498\) | −53.2307 | − | 8.43092i | −2.38533 | − | 0.377799i | ||||
\(499\) | −9.04346 | + | 1.43234i | −0.404841 | + | 0.0641205i | −0.355534 | − | 0.934663i | \(-0.615701\pi\) |
−0.0493065 | + | 0.998784i | \(0.515701\pi\) | |||||||
\(500\) | −54.1786 | + | 17.6037i | −2.42294 | + | 0.787262i | ||||
\(501\) | − | 10.7603i | − | 0.480735i | ||||||
\(502\) | −5.57529 | − | 17.1590i | −0.248837 | − | 0.765842i | ||||
\(503\) | 8.04239 | + | 4.09780i | 0.358592 | + | 0.182712i | 0.624000 | − | 0.781424i | \(-0.285507\pi\) |
−0.265408 | + | 0.964136i | \(0.585507\pi\) | |||||||
\(504\) | −0.496572 | − | 0.974577i | −0.0221191 | − | 0.0434111i | ||||
\(505\) | 1.78371 | − | 11.2619i | 0.0793741 | − | 0.501149i | ||||
\(506\) | 11.9383 | + | 11.9383i | 0.530722 | + | 0.530722i | ||||
\(507\) | 15.0143 | − | 7.65016i | 0.666807 | − | 0.339755i | ||||
\(508\) | 15.9963 | + | 11.6220i | 0.709721 | + | 0.515643i | ||||
\(509\) | 5.82573 | − | 11.4336i | 0.258221 | − | 0.506787i | −0.725105 | − | 0.688638i | \(-0.758209\pi\) |
0.983326 | + | 0.181851i | \(0.0582088\pi\) | |||||||
\(510\) | −10.6905 | + | 7.76709i | −0.473383 | + | 0.343933i | ||||
\(511\) | 0.112946 | + | 0.713115i | 0.00499645 | + | 0.0315463i | ||||
\(512\) | 31.3114 | − | 43.0965i | 1.38378 | − | 1.90461i | ||||
\(513\) | −15.6713 | + | 21.5697i | −0.691906 | + | 0.952326i | ||||
\(514\) | 2.92512 | + | 18.4685i | 0.129021 | + | 0.814609i | ||||
\(515\) | −10.2818 | + | 7.47015i | −0.453069 | + | 0.329174i | ||||
\(516\) | −5.34050 | + | 10.4813i | −0.235103 | + | 0.461415i | ||||
\(517\) | −4.12266 | − | 2.99529i | −0.181314 | − | 0.131733i | ||||
\(518\) | −18.8380 | + | 9.59844i | −0.827694 | + | 0.421731i | ||||
\(519\) | 23.7929 | + | 23.7929i | 1.04439 | + | 1.04439i | ||||
\(520\) | −3.37101 | + | 21.2837i | −0.147829 | + | 0.933353i | ||||
\(521\) | 17.5110 | + | 34.3672i | 0.767169 | + | 1.50565i | 0.860181 | + | 0.509989i | \(0.170351\pi\) |
−0.0930117 | + | 0.995665i | \(0.529649\pi\) | |||||||
\(522\) | 0.348933 | + | 0.177790i | 0.0152724 | + | 0.00778167i | ||||
\(523\) | −5.49317 | − | 16.9063i | −0.240200 | − | 0.739259i | −0.996389 | − | 0.0849058i | \(-0.972941\pi\) |
0.756189 | − | 0.654353i | \(-0.227059\pi\) | |||||||
\(524\) | 43.6838i | 1.90834i | ||||||||
\(525\) | −7.13766 | + | 2.31917i | −0.311513 | + | 0.101217i | ||||
\(526\) | −34.8116 | + | 5.51361i | −1.51786 | + | 0.240405i | ||||
\(527\) | 3.72409 | + | 0.589838i | 0.162224 | + | 0.0256937i | ||||
\(528\) | −24.0020 | − | 7.79872i | −1.04455 | − | 0.339396i | ||||
\(529\) | 6.22243 | − | 19.1507i | 0.270541 | − | 0.832638i | ||||
\(530\) | 23.6212 | − | 23.6212i | 1.02604 | − | 1.02604i | ||||
\(531\) | 0.426346 | + | 0.586815i | 0.0185018 | + | 0.0254656i | ||||
\(532\) | −34.7332 | −1.50588 | ||||||||
\(533\) | −6.13265 | − | 10.1304i | −0.265635 | − | 0.438795i | ||||
\(534\) | −29.7073 | −1.28556 | ||||||||
\(535\) | −3.56675 | − | 4.90921i | −0.154204 | − | 0.212244i | ||||
\(536\) | 99.9257 | − | 99.9257i | 4.31613 | − | 4.31613i | ||||
\(537\) | −7.08742 | + | 21.8128i | −0.305845 | + | 0.941294i | ||||
\(538\) | −41.9605 | − | 13.6338i | −1.80904 | − | 0.587794i | ||||
\(539\) | −5.13141 | − | 0.812736i | −0.221026 | − | 0.0350070i | ||||
\(540\) | 33.7284 | − | 5.34205i | 1.45144 | − | 0.229885i | ||||
\(541\) | −23.9953 | + | 7.79656i | −1.03164 | + | 0.335200i | −0.775439 | − | 0.631423i | \(-0.782471\pi\) |
−0.256202 | + | 0.966623i | \(0.582471\pi\) | |||||||
\(542\) | − | 56.8164i | − | 2.44047i | ||||||
\(543\) | 6.45832 | + | 19.8767i | 0.277153 | + | 0.852989i | ||||
\(544\) | −45.6649 | − | 23.2674i | −1.95787 | − | 0.997582i | ||||
\(545\) | 4.44783 | + | 8.72936i | 0.190524 | + | 0.373925i | ||||
\(546\) | −1.68651 | + | 10.6482i | −0.0721759 | + | 0.455701i | ||||
\(547\) | 2.04384 | + | 2.04384i | 0.0873882 | + | 0.0873882i | 0.749450 | − | 0.662061i | \(-0.230318\pi\) |
−0.662061 | + | 0.749450i | \(0.730318\pi\) | |||||||
\(548\) | 36.5611 | − | 18.6288i | 1.56181 | − | 0.795783i | ||||
\(549\) | −0.127350 | − | 0.0925254i | −0.00543518 | − | 0.00394889i | ||||
\(550\) | −4.11593 | + | 8.07796i | −0.175504 | + | 0.344445i | ||||
\(551\) | 6.40518 | − | 4.65364i | 0.272870 | − | 0.198252i | ||||
\(552\) | 17.3497 | + | 109.542i | 0.738454 | + | 4.66242i | ||||
\(553\) | −5.93014 | + | 8.16214i | −0.252175 | + | 0.347090i | ||||
\(554\) | 7.82694 | − | 10.7729i | 0.332535 | − | 0.457695i | ||||
\(555\) | 2.13077 | + | 13.4532i | 0.0904462 | + | 0.571055i | ||||
\(556\) | 9.42423 | − | 6.84710i | 0.399676 | − | 0.290382i | ||||
\(557\) | 2.79864 | − | 5.49264i | 0.118582 | − | 0.232731i | −0.824084 | − | 0.566468i | \(-0.808310\pi\) |
0.942666 | + | 0.333737i | \(0.108310\pi\) | |||||||
\(558\) | 0.348344 | + | 0.253087i | 0.0147466 | + | 0.0107140i | ||||
\(559\) | 2.00203 | − | 1.02008i | 0.0846767 | − | 0.0431450i | ||||
\(560\) | 15.8742 | + | 15.8742i | 0.670808 | + | 0.670808i | ||||
\(561\) | −0.583402 | + | 3.68346i | −0.0246313 | + | 0.155516i | ||||
\(562\) | −7.23927 | − | 14.2079i | −0.305370 | − | 0.599323i | ||||
\(563\) | −26.9664 | − | 13.7401i | −1.13650 | − | 0.579075i | −0.218570 | − | 0.975821i | \(-0.570139\pi\) |
−0.917928 | + | 0.396746i | \(0.870139\pi\) | |||||||
\(564\) | −16.2481 | − | 50.0066i | −0.684170 | − | 2.10566i | ||||
\(565\) | − | 2.32917i | − | 0.0979891i | ||||||
\(566\) | 37.6828 | − | 12.2439i | 1.58392 | − | 0.514648i | ||||
\(567\) | 11.0806 | − | 1.75500i | 0.465342 | − | 0.0737030i | ||||
\(568\) | 29.5653 | + | 4.68268i | 1.24053 | + | 0.196481i | ||||
\(569\) | 19.3960 | + | 6.30213i | 0.813121 | + | 0.264199i | 0.685919 | − | 0.727678i | \(-0.259400\pi\) |
0.127202 | + | 0.991877i | \(0.459400\pi\) | |||||||
\(570\) | −9.42725 | + | 29.0141i | −0.394864 | + | 1.21527i | ||||
\(571\) | 20.9716 | − | 20.9716i | 0.877633 | − | 0.877633i | −0.115656 | − | 0.993289i | \(-0.536897\pi\) |
0.993289 | + | 0.115656i | \(0.0368971\pi\) | |||||||
\(572\) | 5.61487 | + | 7.72821i | 0.234770 | + | 0.323133i | ||||
\(573\) | −0.759253 | −0.0317182 | ||||||||
\(574\) | −21.1450 | − | 1.77946i | −0.882577 | − | 0.0742733i | ||||
\(575\) | 23.1636 | 0.965987 | ||||||||
\(576\) | −1.74727 | − | 2.40490i | −0.0728027 | − | 0.100204i | ||||
\(577\) | −22.9911 | + | 22.9911i | −0.957132 | + | 0.957132i | −0.999118 | − | 0.0419858i | \(-0.986632\pi\) |
0.0419858 | + | 0.999118i | \(0.486632\pi\) | |||||||
\(578\) | 10.0697 | − | 30.9914i | 0.418844 | − | 1.28907i | ||||
\(579\) | −35.4736 | − | 11.5261i | −1.47423 | − | 0.479008i | ||||
\(580\) | −10.0157 | − | 1.58633i | −0.415880 | − | 0.0658690i | ||||
\(581\) | 13.3636 | − | 2.11659i | 0.554417 | − | 0.0878110i | ||||
\(582\) | 77.2768 | − | 25.1087i | 3.20323 | − | 1.04079i | ||||
\(583\) | − | 9.42785i | − | 0.390462i | ||||||
\(584\) | 1.77050 | + | 5.44905i | 0.0732639 | + | 0.225483i | ||||
\(585\) | 0.188373 | + | 0.0959807i | 0.00778825 | + | 0.00396831i | ||||
\(586\) | 24.5053 | + | 48.0943i | 1.01230 | + | 1.98676i | ||||
\(587\) | 3.81641 | − | 24.0959i | 0.157520 | − | 0.994543i | −0.774615 | − | 0.632433i | \(-0.782056\pi\) |
0.932135 | − | 0.362110i | \(-0.117944\pi\) | |||||||
\(588\) | −37.9056 | − | 37.9056i | −1.56320 | − | 1.56320i | ||||
\(589\) | 7.75611 | − | 3.95194i | 0.319585 | − | 0.162837i | ||||
\(590\) | −20.7161 | − | 15.0512i | −0.852870 | − | 0.619646i | ||||
\(591\) | 18.7150 | − | 36.7302i | 0.769830 | − | 1.51088i | ||||
\(592\) | −78.9134 | + | 57.3340i | −3.24332 | + | 2.35641i | ||||
\(593\) | 2.72495 | + | 17.2047i | 0.111900 | + | 0.706512i | 0.978305 | + | 0.207169i | \(0.0664250\pi\) |
−0.866405 | + | 0.499342i | \(0.833575\pi\) | |||||||
\(594\) | 7.72319 | − | 10.6301i | 0.316886 | − | 0.436156i | ||||
\(595\) | 1.94994 | − | 2.68386i | 0.0799396 | − | 0.110027i | ||||
\(596\) | 7.62575 | + | 48.1471i | 0.312363 | + | 1.97218i | ||||
\(597\) | 7.50238 | − | 5.45080i | 0.307052 | − | 0.223086i | ||||
\(598\) | 15.1063 | − | 29.6478i | 0.617744 | − | 1.21239i | ||||
\(599\) | 11.5445 | + | 8.38758i | 0.471696 | + | 0.342707i | 0.798102 | − | 0.602522i | \(-0.205838\pi\) |
−0.326406 | + | 0.945230i | \(0.605838\pi\) | |||||||
\(600\) | −53.0646 | + | 27.0378i | −2.16635 | + | 1.10381i | ||||
\(601\) | −28.1452 | − | 28.1452i | −1.14807 | − | 1.14807i | −0.986933 | − | 0.161133i | \(-0.948485\pi\) |
−0.161133 | − | 0.986933i | \(-0.551515\pi\) | |||||||
\(602\) | 0.629849 | − | 3.97671i | 0.0256707 | − | 0.162079i | ||||
\(603\) | −0.629431 | − | 1.23533i | −0.0256324 | − | 0.0503065i | ||||
\(604\) | −26.2543 | − | 13.3772i | −1.06827 | − | 0.544312i | ||||
\(605\) | 3.79547 | + | 11.6813i | 0.154308 | + | 0.474911i | ||||
\(606\) | − | 45.2685i | − | 1.83891i | ||||||
\(607\) | −10.7097 | + | 3.47978i | −0.434691 | + | 0.141240i | −0.518185 | − | 0.855269i | \(-0.673392\pi\) |
0.0834937 | + | 0.996508i | \(0.473392\pi\) | |||||||
\(608\) | −116.865 | + | 18.5096i | −4.73950 | + | 0.750663i | ||||
\(609\) | −3.19017 | − | 0.505273i | −0.129272 | − | 0.0204747i | ||||
\(610\) | 5.28514 | + | 1.71725i | 0.213989 | + | 0.0695292i | ||||
\(611\) | −3.10354 | + | 9.55171i | −0.125556 | + | 0.386421i | ||||
\(612\) | −0.828231 | + | 0.828231i | −0.0334793 | + | 0.0334793i | ||||
\(613\) | 22.6203 | + | 31.1342i | 0.913625 | + | 1.25750i | 0.965913 | + | 0.258865i | \(0.0833485\pi\) |
−0.0522884 | + | 0.998632i | \(0.516652\pi\) | |||||||
\(614\) | −26.9872 | −1.08912 | ||||||||
\(615\) | −5.29991 | + | 12.6016i | −0.213713 | + | 0.508145i | ||||
\(616\) | 10.8978 | 0.439084 | ||||||||
\(617\) | −12.9147 | − | 17.7756i | −0.519928 | − | 0.715619i | 0.465626 | − | 0.884982i | \(-0.345829\pi\) |
−0.985554 | + | 0.169362i | \(0.945829\pi\) | |||||||
\(618\) | −35.6779 | + | 35.6779i | −1.43517 | + | 1.43517i | ||||
\(619\) | 6.35485 | − | 19.5582i | 0.255423 | − | 0.786111i | −0.738323 | − | 0.674447i | \(-0.764382\pi\) |
0.993746 | − | 0.111664i | \(-0.0356180\pi\) | |||||||
\(620\) | −10.6037 | − | 3.44535i | −0.425855 | − | 0.138369i | ||||
\(621\) | −33.1575 | − | 5.25164i | −1.33057 | − | 0.210741i | ||||
\(622\) | 68.6811 | − | 10.8780i | 2.75386 | − | 0.436169i | ||||
\(623\) | 7.09302 | − | 2.30466i | 0.284176 | − | 0.0923343i | ||||
\(624\) | 49.7388i | 1.99115i | ||||||||
\(625\) | 1.56754 | + | 4.82438i | 0.0627014 | + | 0.192975i | ||||
\(626\) | 64.0140 | + | 32.6168i | 2.55851 | + | 1.30363i | ||||
\(627\) | 3.90881 | + | 7.67148i | 0.156103 | + | 0.306369i | ||||
\(628\) | 7.20156 | − | 45.4689i | 0.287374 | − | 1.81440i | ||||
\(629\) | 10.1923 | + | 10.1923i | 0.406394 | + | 0.406394i | ||||
\(630\) | 0.337546 | − | 0.171988i | 0.0134482 | − | 0.00685218i | ||||
\(631\) | −29.0459 | − | 21.1031i | −1.15630 | − | 0.840102i | −0.166995 | − | 0.985958i | \(-0.553406\pi\) |
−0.989306 | + | 0.145856i | \(0.953406\pi\) | |||||||
\(632\) | −36.3469 | + | 71.3349i | −1.44580 | + | 2.83755i | ||||
\(633\) | 31.5468 | − | 22.9201i | 1.25387 | − | 0.910992i | ||||
\(634\) | 8.90083 | + | 56.1976i | 0.353497 | + | 2.23189i | ||||
\(635\) | −2.56271 | + | 3.52727i | −0.101698 | + | 0.139976i | ||||
\(636\) | 57.1784 | − | 78.6994i | 2.26727 | − | 3.12063i | ||||
\(637\) | 1.60178 | + | 10.1133i | 0.0634650 | + | 0.400702i | ||||
\(638\) | −3.15662 | + | 2.29342i | −0.124972 | + | 0.0907973i | ||||
\(639\) | 0.133327 | − | 0.261669i | 0.00527434 | − | 0.0103515i | ||||
\(640\) | 40.3511 | + | 29.3168i | 1.59502 | + | 1.15885i | ||||
\(641\) | −23.1194 | + | 11.7799i | −0.913160 | + | 0.465278i | −0.846434 | − | 0.532493i | \(-0.821255\pi\) |
−0.0667257 | + | 0.997771i | \(0.521255\pi\) | |||||||
\(642\) | −17.0350 | − | 17.0350i | −0.672318 | − | 0.672318i | ||||
\(643\) | 6.58370 | − | 41.5679i | 0.259636 | − | 1.63928i | −0.421291 | − | 0.906926i | \(-0.638423\pi\) |
0.680927 | − | 0.732351i | \(-0.261577\pi\) | |||||||
\(644\) | −19.8549 | − | 38.9674i | −0.782392 | − | 1.53553i | ||||
\(645\) | −2.31119 | − | 1.17761i | −0.0910030 | − | 0.0463684i | ||||
\(646\) | 9.97627 | + | 30.7038i | 0.392511 | + | 1.20802i | ||||
\(647\) | − | 25.3408i | − | 0.996251i | −0.867105 | − | 0.498125i | \(-0.834022\pi\) | ||
0.867105 | − | 0.498125i | \(-0.165978\pi\) | |||||||
\(648\) | 84.6691 | − | 27.5107i | 3.32612 | − | 1.08072i | ||||
\(649\) | −7.13784 | + | 1.13052i | −0.280185 | + | 0.0443769i | ||||
\(650\) | 17.6480 | + | 2.79517i | 0.692211 | + | 0.109635i | ||||
\(651\) | −3.37745 | − | 1.09740i | −0.132373 | − | 0.0430105i | ||||
\(652\) | 0.281772 | − | 0.867204i | 0.0110350 | − | 0.0339623i | ||||
\(653\) | −10.0983 | + | 10.0983i | −0.395178 | + | 0.395178i | −0.876528 | − | 0.481350i | \(-0.840147\pi\) |
0.481350 | + | 0.876528i | \(0.340147\pi\) | |||||||
\(654\) | 22.8625 | + | 31.4675i | 0.893994 | + | 1.23048i | ||||
\(655\) | −9.63252 | −0.376374 | ||||||||
\(656\) | −97.6379 | + | 7.15227i | −3.81212 | + | 0.279249i | ||||
\(657\) | 0.0562113 | 0.00219301 | ||||||||
\(658\) | 10.5781 | + | 14.5595i | 0.412378 | + | 0.567590i | ||||
\(659\) | 3.30690 | − | 3.30690i | 0.128818 | − | 0.128818i | −0.639758 | − | 0.768576i | \(-0.720965\pi\) |
0.768576 | + | 0.639758i | \(0.220965\pi\) | |||||||
\(660\) | 3.40776 | − | 10.4880i | 0.132647 | − | 0.408245i | ||||
\(661\) | −16.5128 | − | 5.36534i | −0.642274 | − | 0.208688i | −0.0302696 | − | 0.999542i | \(-0.509637\pi\) |
−0.612005 | + | 0.790854i | \(0.709637\pi\) | |||||||
\(662\) | 17.2308 | + | 2.72909i | 0.669693 | + | 0.106069i | ||||
\(663\) | 7.25955 | − | 1.14980i | 0.281938 | − | 0.0446546i | ||||
\(664\) | 102.114 | − | 33.1789i | 3.96279 | − | 1.28759i | ||||
\(665\) | − | 7.65887i | − | 0.296998i | ||||||
\(666\) | 0.508652 | + | 1.56547i | 0.0197098 | + | 0.0606607i | ||||
\(667\) | 8.88240 | + | 4.52581i | 0.343928 | + | 0.175240i | ||||
\(668\) | 15.2864 | + | 30.0013i | 0.591449 | + | 1.16078i | ||||
\(669\) | −6.51742 | + | 41.1494i | −0.251978 | + | 1.59093i | ||||
\(670\) | 34.6094 | + | 34.6094i | 1.33708 | + | 1.33708i | ||||
\(671\) | 1.39742 | − | 0.712021i | 0.0539468 | − | 0.0274872i | ||||
\(672\) | 39.0518 | + | 28.3728i | 1.50646 | + | 1.09450i | ||||
\(673\) | −1.92976 | + | 3.78737i | −0.0743869 | + | 0.145992i | −0.925205 | − | 0.379468i | \(-0.876107\pi\) |
0.850818 | + | 0.525461i | \(0.176107\pi\) | |||||||
\(674\) | 24.5201 | − | 17.8149i | 0.944479 | − | 0.686205i | ||||
\(675\) | −2.82006 | − | 17.8051i | −0.108544 | − | 0.685320i | ||||
\(676\) | −30.9939 | + | 42.6595i | −1.19207 | + | 1.64075i | ||||
\(677\) | −20.9582 | + | 28.8465i | −0.805490 | + | 1.10866i | 0.186514 | + | 0.982452i | \(0.440281\pi\) |
−0.992004 | + | 0.126209i | \(0.959719\pi\) | |||||||
\(678\) | −1.44656 | − | 9.13324i | −0.0555550 | − | 0.350760i | ||||
\(679\) | −16.5030 | + | 11.9901i | −0.633326 | + | 0.460138i | ||||
\(680\) | 11.9515 | − | 23.4562i | 0.458320 | − | 0.899503i | ||||
\(681\) | −20.3965 | − | 14.8189i | −0.781595 | − | 0.567862i | ||||
\(682\) | −3.82239 | + | 1.94760i | −0.146367 | + | 0.0745776i | ||||
\(683\) | 33.1183 | + | 33.1183i | 1.26724 | + | 1.26724i | 0.947510 | + | 0.319726i | \(0.103591\pi\) |
0.319726 | + | 0.947510i | \(0.396409\pi\) | |||||||
\(684\) | −0.423021 | + | 2.67085i | −0.0161746 | + | 0.102122i | ||||
\(685\) | 4.10775 | + | 8.06191i | 0.156949 | + | 0.308030i | ||||
\(686\) | 37.0175 | + | 18.8614i | 1.41334 | + | 0.720130i | ||||
\(687\) | −11.2202 | − | 34.5324i | −0.428079 | − | 1.31749i | ||||
\(688\) | − | 18.5756i | − | 0.708189i | ||||||
\(689\) | −17.6715 | + | 5.74182i | −0.673231 | + | 0.218746i | ||||
\(690\) | −37.9400 | + | 6.00911i | −1.44435 | + | 0.228763i | ||||
\(691\) | −33.4395 | − | 5.29630i | −1.27210 | − | 0.201481i | −0.516371 | − | 0.856365i | \(-0.672717\pi\) |
−0.755729 | + | 0.654884i | \(0.772717\pi\) | |||||||
\(692\) | −100.139 | − | 32.5371i | −3.80672 | − | 1.23688i | ||||
\(693\) | 0.0330393 | − | 0.101684i | 0.00125506 | − | 0.00386267i | ||||
\(694\) | 2.45436 | − | 2.45436i | 0.0931664 | − | 0.0931664i | ||||
\(695\) | 1.50982 | + | 2.07809i | 0.0572708 | + | 0.0788266i | ||||
\(696\) | −25.6311 | −0.971546 | ||||||||
\(697\) | 3.30097 | + | 14.0852i | 0.125033 | + | 0.533517i | ||||
\(698\) | 38.8744 | 1.47142 | ||||||||
\(699\) | −18.6484 | − | 25.6673i | −0.705346 | − | 0.970826i | ||||
\(700\) | 16.6061 | − | 16.6061i | 0.627653 | − | 0.627653i | ||||
\(701\) | −2.77956 | + | 8.55460i | −0.104982 | + | 0.323103i | −0.989726 | − | 0.142975i | \(-0.954333\pi\) |
0.884744 | + | 0.466078i | \(0.154333\pi\) | |||||||
\(702\) | −24.6285 | − | 8.00230i | −0.929544 | − | 0.302027i | ||||
\(703\) | 32.8678 | + | 5.20575i | 1.23963 | + | 0.196338i | ||||
\(704\) | 29.2525 | − | 4.63314i | 1.10250 | − | 0.174618i | ||||
\(705\) | 11.0267 | − | 3.58280i | 0.415291 | − | 0.134936i | ||||
\(706\) | 2.80153i | 0.105437i | ||||||||
\(707\) | 3.51188 | + | 10.8085i | 0.132078 | + | 0.406494i | ||||
\(708\) | −66.4398 | − | 33.8528i | −2.49696 | − | 1.27227i | ||||
\(709\) | −6.86482 | − | 13.4730i | −0.257814 | − | 0.505988i | 0.725427 | − | 0.688299i | \(-0.241642\pi\) |
−0.983241 | + | 0.182311i | \(0.941642\pi\) | |||||||
\(710\) | −1.62185 | + | 10.2400i | −0.0608671 | + | 0.384300i | ||||
\(711\) | 0.555413 | + | 0.555413i | 0.0208296 | + | 0.0208296i | ||||
\(712\) | 52.7327 | − | 26.8687i | 1.97624 | − | 1.00695i | ||||
\(713\) | 8.86739 | + | 6.44254i | 0.332087 | + | 0.241275i | ||||
\(714\) | 5.97932 | − | 11.7351i | 0.223770 | − | 0.439174i | ||||
\(715\) | −1.70411 | + | 1.23811i | −0.0637302 | + | 0.0463027i | ||||
\(716\) | −11.2272 | − | 70.8860i | −0.419581 | − | 2.64913i | ||||
\(717\) | −23.4729 | + | 32.3077i | −0.876613 | + | 1.20655i | ||||
\(718\) | −18.0576 | + | 24.8541i | −0.673902 | + | 0.927547i | ||||
\(719\) | 6.05643 | + | 38.2388i | 0.225867 | + | 1.42607i | 0.796389 | + | 0.604785i | \(0.206741\pi\) |
−0.570522 | + | 0.821282i | \(0.693259\pi\) | |||||||
\(720\) | 1.41400 | − | 1.02733i | 0.0526966 | − | 0.0382863i | ||||
\(721\) | 5.75073 | − | 11.2864i | 0.214168 | − | 0.420329i | ||||
\(722\) | 18.1901 | + | 13.2159i | 0.676965 | + | 0.491844i | ||||
\(723\) | −4.89558 | + | 2.49442i | −0.182069 | + | 0.0927686i | ||||
\(724\) | −46.2441 | − | 46.2441i | −1.71865 | − | 1.71865i | ||||
\(725\) | −0.837423 | + | 5.28728i | −0.0311011 | + | 0.196365i | ||||
\(726\) | 22.1377 | + | 43.4478i | 0.821609 | + | 1.61250i | ||||
\(727\) | 23.9407 | + | 12.1984i | 0.887912 | + | 0.452414i | 0.837577 | − | 0.546319i | \(-0.183971\pi\) |
0.0503346 | + | 0.998732i | \(0.483971\pi\) | |||||||
\(728\) | −6.63705 | − | 20.4268i | −0.245986 | − | 0.757066i | ||||
\(729\) | 26.1000i | 0.966665i | ||||||||
\(730\) | −1.88729 | + | 0.613216i | −0.0698516 | + | 0.0226962i | ||||
\(731\) | −2.71118 | + | 0.429408i | −0.100277 | + | 0.0158822i | ||||
\(732\) | 15.9833 | + | 2.53151i | 0.590760 | + | 0.0935672i | ||||
\(733\) | 4.87811 | + | 1.58499i | 0.180177 | + | 0.0585431i | 0.397716 | − | 0.917509i | \(-0.369803\pi\) |
−0.217539 | + | 0.976052i | \(0.569803\pi\) | |||||||
\(734\) | 24.3041 | − | 74.8002i | 0.897079 | − | 2.76093i | ||||
\(735\) | 8.35838 | − | 8.35838i | 0.308304 | − | 0.308304i | ||||
\(736\) | −87.5706 | − | 120.531i | −3.22789 | − | 4.44281i | ||||
\(737\) | 13.8135 | 0.508828 | ||||||||
\(738\) | −0.394362 | + | 1.60430i | −0.0145167 | + | 0.0590550i | ||||
\(739\) | 1.40461 | 0.0516695 | 0.0258348 | − | 0.999666i | \(-0.491776\pi\) | ||||
0.0258348 | + | 0.999666i | \(0.491776\pi\) | |||||||
\(740\) | −25.0529 | − | 34.4823i | −0.920962 | − | 1.26760i | ||||
\(741\) | 11.9988 | − | 11.9988i | 0.440787 | − | 0.440787i | ||||
\(742\) | −10.2888 | + | 31.6657i | −0.377714 | + | 1.16248i | ||||
\(743\) | −8.77872 | − | 2.85238i | −0.322060 | − | 0.104644i | 0.143525 | − | 0.989647i | \(-0.454156\pi\) |
−0.465585 | + | 0.885003i | \(0.654156\pi\) | |||||||
\(744\) | −27.8341 | − | 4.40849i | −1.02045 | − | 0.161623i | ||||
\(745\) | −10.6167 | + | 1.68152i | −0.388966 | + | 0.0616061i | ||||
\(746\) | −88.6254 | + | 28.7961i | −3.24481 | + | 1.05430i | ||||
\(747\) | − | 1.05339i | − | 0.0385415i | ||||||
\(748\) | −3.60622 | − | 11.0988i | −0.131856 | − | 0.405812i | ||||
\(749\) | 5.38890 | + | 2.74578i | 0.196906 | + | 0.100329i | ||||
\(750\) | −22.6408 | − | 44.4350i | −0.826724 | − | 1.62254i | ||||
\(751\) | −4.42188 | + | 27.9186i | −0.161357 | + | 1.01877i | 0.765523 | + | 0.643408i | \(0.222480\pi\) |
−0.926880 | + | 0.375358i | \(0.877520\pi\) | |||||||
\(752\) | 58.7103 | + | 58.7103i | 2.14094 | + | 2.14094i | ||||
\(753\) | 10.3224 | − | 5.25954i | 0.376170 | − | 0.191668i | ||||
\(754\) | 6.22124 | + | 4.52000i | 0.226564 | + | 0.164609i | ||||
\(755\) | 2.94975 | − | 5.78922i | 0.107352 | − | 0.210691i | ||||
\(756\) | −27.5358 | + | 20.0060i | −1.00147 | + | 0.727610i | ||||
\(757\) | 2.19110 | + | 13.8341i | 0.0796371 | + | 0.502809i | 0.994975 | + | 0.100122i | \(0.0319234\pi\) |
−0.915338 | + | 0.402686i | \(0.868077\pi\) | |||||||
\(758\) | −11.2645 | + | 15.5042i | −0.409145 | + | 0.563139i | ||||
\(759\) | −6.37224 | + | 8.77064i | −0.231298 | + | 0.318354i | ||||
\(760\) | −9.50762 | − | 60.0287i | −0.344877 | − | 2.17747i | ||||
\(761\) | 38.0493 | − | 27.6444i | 1.37929 | − | 1.00211i | 0.382339 | − | 0.924022i | \(-0.375119\pi\) |
0.996946 | − | 0.0780880i | \(-0.0248815\pi\) | |||||||
\(762\) | −7.85835 | + | 15.4229i | −0.284678 | + | 0.558712i | ||||
\(763\) | −7.89995 | − | 5.73965i | −0.285998 | − | 0.207789i | ||||
\(764\) | 2.11691 | − | 1.07862i | 0.0765870 | − | 0.0390230i | ||||
\(765\) | −0.182629 | − | 0.182629i | −0.00660298 | − | 0.00660298i | ||||
\(766\) | 8.17000 | − | 51.5834i | 0.295194 | − | 1.86378i | ||||
\(767\) | 6.46619 | + | 12.6906i | 0.233480 | + | 0.458231i | ||||
\(768\) | 77.4992 | + | 39.4878i | 2.79651 | + | 1.42489i | ||||
\(769\) | −6.58433 | − | 20.2645i | −0.237437 | − | 0.730756i | −0.996789 | − | 0.0800756i | \(-0.974484\pi\) |
0.759352 | − | 0.650680i | \(-0.225516\pi\) | |||||||
\(770\) | 3.77447i | 0.136022i | ||||||||
\(771\) | −11.4191 | + | 3.71030i | −0.411250 | + | 0.133623i | ||||
\(772\) | 115.280 | − | 18.2586i | 4.14902 | − | 0.657140i | ||||
\(773\) | 39.6933 | + | 6.28681i | 1.42767 | + | 0.226121i | 0.821951 | − | 0.569558i | \(-0.192886\pi\) |
0.605719 | + | 0.795679i | \(0.292886\pi\) | |||||||
\(774\) | −0.298122 | − | 0.0968658i | −0.0107158 | − | 0.00348177i | ||||
\(775\) | −1.81880 | + | 5.59768i | −0.0653331 | + | 0.201075i | ||||
\(776\) | −114.463 | + | 114.463i | −4.10897 | + | 4.10897i | ||||
\(777\) | −7.97974 | − | 10.9832i | −0.286272 | − | 0.394019i | ||||
\(778\) | −50.2234 | −1.80059 | ||||||||
\(779\) | 25.2792 | + | 21.8284i | 0.905720 | + | 0.782083i | ||||
\(780\) | −21.7341 | −0.778205 | ||||||||
\(781\) | 1.71986 | + | 2.36719i | 0.0615415 | + | 0.0847046i | ||||
\(782\) | −28.7439 | + | 28.7439i | −1.02788 | + | 1.02788i | ||||
\(783\) | 2.39746 | − | 7.37863i | 0.0856783 | − | 0.263691i | ||||
\(784\) | 80.5067 | + | 26.1582i | 2.87524 | + | 0.934222i | ||||
\(785\) | 10.0261 | + | 1.58798i | 0.357848 | + | 0.0566775i | ||||
\(786\) | −37.7714 | + | 5.98240i | −1.34726 | + | 0.213385i | ||||
\(787\) | −16.3451 | + | 5.31086i | −0.582642 | + | 0.189312i | −0.585484 | − | 0.810684i | \(-0.699095\pi\) |
0.00284204 | + | 0.999996i | \(0.499095\pi\) | |||||||
\(788\) | 128.996i | 4.59529i | ||||||||
\(789\) | −6.99362 | − | 21.5242i | −0.248980 | − | 0.766280i | ||||
\(790\) | −24.7070 | − | 12.5888i | −0.879034 | − | 0.447890i | ||||
\(791\) | 1.05394 | + | 2.06846i | 0.0374736 | + | 0.0735461i | ||||
\(792\) | 0.132726 | − | 0.837997i | 0.00471620 | − | 0.0297769i | ||||
\(793\) | −2.18567 | − | 2.18567i | −0.0776156 | − | 0.0776156i | ||||
\(794\) | 20.3208 | − | 10.3540i | 0.721158 | − | 0.367449i | ||||
\(795\) | 17.3536 | + | 12.6082i | 0.615470 | + | 0.447165i | ||||
\(796\) | −13.1742 | + | 25.8557i | −0.466946 | + | 0.916432i | ||||
\(797\) | 26.3389 | − | 19.1363i | 0.932971 | − | 0.677843i | −0.0137472 | − | 0.999906i | \(-0.504376\pi\) |
0.946719 | + | 0.322062i | \(0.104376\pi\) | |||||||
\(798\) | −4.75664 | − | 30.0323i | −0.168383 | − | 1.06313i | ||||
\(799\) | 7.21177 | − | 9.92616i | 0.255134 | − | 0.351162i | ||||
\(800\) | 47.0242 | − | 64.7233i | 1.66256 | − | 2.28831i | ||||
\(801\) | −0.0908325 | − | 0.573494i | −0.00320941 | − | 0.0202634i | ||||
\(802\) | 9.31216 | − | 6.76568i | 0.328824 | − | 0.238904i | ||||
\(803\) | −0.254257 | + | 0.499008i | −0.00897255 | + | 0.0176096i | ||||
\(804\) | 115.309 | + | 83.7769i | 4.06664 | + | 2.95459i | ||||
\(805\) | 8.59253 | − | 4.37811i | 0.302847 | − | 0.154308i | ||||
\(806\) | 5.97852 | + | 5.97852i | 0.210584 | + | 0.210584i | ||||
\(807\) | 4.43182 | − | 27.9814i | 0.156008 | − | 0.984993i | ||||
\(808\) | 40.9429 | + | 80.3550i | 1.44037 | + | 2.82688i | ||||
\(809\) | −29.0682 | − | 14.8110i | −1.02198 | − | 0.520727i | −0.139081 | − | 0.990281i | \(-0.544415\pi\) |
−0.882904 | + | 0.469554i | \(0.844415\pi\) | |||||||
\(810\) | 9.52836 | + | 29.3253i | 0.334793 | + | 1.03039i | ||||
\(811\) | − | 7.47871i | − | 0.262613i | −0.991342 | − | 0.131306i | \(-0.958083\pi\) | ||
0.991342 | − | 0.131306i | \(-0.0419172\pi\) | |||||||
\(812\) | 9.61245 | − | 3.12327i | 0.337331 | − | 0.109605i | ||||
\(813\) | 36.0338 | − | 5.70719i | 1.26376 | − | 0.200160i | ||||
\(814\) | −16.1980 | − | 2.56551i | −0.567739 | − | 0.0899211i | ||||
\(815\) | 0.191223 | + | 0.0621322i | 0.00669826 | + | 0.00217640i | ||||
\(816\) | 18.7770 | − | 57.7897i | 0.657327 | − | 2.02305i | ||||
\(817\) | −4.48111 | + | 4.48111i | −0.156774 | + | 0.156774i | ||||
\(818\) | −62.2547 | − | 85.6863i | −2.17669 | − | 2.99595i | ||||
\(819\) | −0.210718 | −0.00736310 | ||||||||
\(820\) | −3.12529 | − | 42.6642i | −0.109140 | − | 1.48990i | ||||
\(821\) | −31.8344 | −1.11103 | −0.555514 | − | 0.831507i | \(-0.687479\pi\) | ||||
−0.555514 | + | 0.831507i | \(0.687479\pi\) | |||||||
\(822\) | 21.1144 | + | 29.0615i | 0.736450 | + | 1.01364i | ||||
\(823\) | −26.9979 | + | 26.9979i | −0.941087 | + | 0.941087i | −0.998359 | − | 0.0572719i | \(-0.981760\pi\) |
0.0572719 | + | 0.998359i | \(0.481760\pi\) | |||||||
\(824\) | 31.0623 | − | 95.5998i | 1.08210 | − | 3.33038i | ||||
\(825\) | −5.53660 | − | 1.79895i | −0.192760 | − | 0.0626314i | ||||
\(826\) | 25.2079 | + | 3.99254i | 0.877094 | + | 0.138918i | ||||
\(827\) | −26.4709 | + | 4.19258i | −0.920485 | + | 0.145790i | −0.598655 | − | 0.801007i | \(-0.704298\pi\) |
−0.321830 | + | 0.946798i | \(0.604298\pi\) | |||||||
\(828\) | −3.23825 | + | 1.05217i | −0.112537 | + | 0.0365655i | ||||
\(829\) | − | 38.1519i | − | 1.32507i | −0.749031 | − | 0.662535i | \(-0.769481\pi\) | ||
0.749031 | − | 0.662535i | \(-0.230519\pi\) | |||||||
\(830\) | 11.4915 | + | 35.3674i | 0.398877 | + | 1.22762i | ||||
\(831\) | 7.61851 | + | 3.88182i | 0.264283 | + | 0.134659i | ||||
\(832\) | −26.4999 | − | 52.0090i | −0.918720 | − | 1.80309i | ||||
\(833\) | 1.95683 | − | 12.3549i | 0.0678001 | − | 0.428073i | ||||
\(834\) | 7.21100 | + | 7.21100i | 0.249697 | + | 0.249697i | ||||
\(835\) | −6.61544 | + | 3.37074i | −0.228937 | + | 0.116649i | ||||
\(836\) | −21.7967 | − | 15.8362i | −0.753854 | − | 0.547707i | ||||
\(837\) | 3.87262 | − | 7.60045i | 0.133857 | − | 0.262710i | ||||
\(838\) | 19.7744 | − | 14.3669i | 0.683095 | − | 0.496298i | ||||
\(839\) | −8.25907 | − | 52.1457i | −0.285135 | − | 1.80027i | −0.549120 | − | 0.835743i | \(-0.685037\pi\) |
0.263986 | − | 0.964527i | \(-0.414963\pi\) | |||||||
\(840\) | −14.5740 | + | 20.0593i | −0.502849 | + | 0.692112i | ||||
\(841\) | 15.6916 | − | 21.5976i | 0.541090 | − | 0.744746i | ||||
\(842\) | −8.28018 | − | 52.2790i | −0.285354 | − | 1.80165i | ||||
\(843\) | 8.28365 | − | 6.01842i | 0.285304 | − | 0.207285i | ||||
\(844\) | −55.3961 | + | 108.721i | −1.90681 | + | 3.74233i | ||||
\(845\) | −9.40665 | − | 6.83433i | −0.323599 | − | 0.235108i | ||||
\(846\) | 1.24840 | − | 0.636093i | 0.0429210 | − | 0.0218693i | ||||
\(847\) | −8.65633 | − | 8.65633i | −0.297435 | − | 0.297435i | ||||
\(848\) | −24.0300 | + | 151.720i | −0.825194 | + | 5.21007i | ||||
\(849\) | 11.5505 | + | 22.6690i | 0.396411 | + | 0.777999i | ||||
\(850\) | −19.4494 | − | 9.90994i | −0.667107 | − | 0.339908i | ||||
\(851\) | 12.9482 | + | 39.8503i | 0.443857 | + | 1.36605i | ||||
\(852\) | 30.1909i | 1.03432i | ||||||||
\(853\) | 10.6787 | − | 3.46971i | 0.365631 | − | 0.118801i | −0.120439 | − | 0.992721i | \(-0.538430\pi\) |
0.486069 | + | 0.873920i | \(0.338430\pi\) | |||||||
\(854\) | −5.47061 | + | 0.866459i | −0.187200 | + | 0.0296496i | ||||
\(855\) | −0.588937 | − | 0.0932784i | −0.0201412 | − | 0.00319005i | ||||
\(856\) | 45.6457 | + | 14.8312i | 1.56014 | + | 0.506920i | ||||
\(857\) | −2.69200 | + | 8.28512i | −0.0919569 | + | 0.283014i | −0.986449 | − | 0.164070i | \(-0.947538\pi\) |
0.894492 | + | 0.447084i | \(0.147538\pi\) | |||||||
\(858\) | −5.91328 | + | 5.91328i | −0.201876 | + | 0.201876i | ||||
\(859\) | 16.6627 | + | 22.9343i | 0.568525 | + | 0.782508i | 0.992379 | − | 0.123223i | \(-0.0393230\pi\) |
−0.423854 | + | 0.905731i | \(0.639323\pi\) | |||||||
\(860\) | 8.11688 | 0.276783 | ||||||||
\(861\) | −0.995453 | − | 13.5892i | −0.0339249 | − | 0.463120i | ||||
\(862\) | −54.0645 | −1.84145 | ||||||||
\(863\) | 21.9985 | + | 30.2783i | 0.748836 | + | 1.03068i | 0.998061 | + | 0.0622388i | \(0.0198241\pi\) |
−0.249225 | + | 0.968446i | \(0.580176\pi\) | |||||||
\(864\) | −81.9869 | + | 81.9869i | −2.78925 | + | 2.78925i | ||||
\(865\) | 7.17462 | − | 22.0812i | 0.243944 | − | 0.750784i | ||||
\(866\) | 27.2538 | + | 8.85531i | 0.926123 | + | 0.300916i | ||||
\(867\) | 20.6667 | + | 3.27328i | 0.701877 | + | 0.111166i | ||||
\(868\) | 10.9758 | − | 1.73840i | 0.372544 | − | 0.0590051i | ||||
\(869\) | −7.44287 | + | 2.41833i | −0.252482 | + | 0.0820364i | ||||
\(870\) | − | 8.87739i | − | 0.300972i | ||||||
\(871\) | −8.41282 | − | 25.8920i | −0.285058 | − | 0.877317i | ||||
\(872\) | −69.0434 | − | 35.1794i | −2.33811 | − | 1.19132i | ||||
\(873\) | 0.721000 | + | 1.41504i | 0.0244022 | + | 0.0478920i | ||||
\(874\) | −14.6810 | + | 92.6923i | −0.496593 | + | 3.13536i | ||||
\(875\) | 8.85302 | + | 8.85302i | 0.299287 | + | 0.299287i | ||||
\(876\) | −5.14883 | + | 2.62346i | −0.173963 | + | 0.0886386i | ||||
\(877\) | −23.6500 | − | 17.1827i | −0.798604 | − | 0.580219i | 0.111901 | − | 0.993719i | \(-0.464306\pi\) |
−0.910504 | + | 0.413500i | \(0.864306\pi\) | |||||||
\(878\) | 37.3965 | − | 73.3947i | 1.26207 | − | 2.47695i | ||||
\(879\) | −28.0405 | + | 20.3726i | −0.945784 | + | 0.687152i | ||||
\(880\) | 2.72413 | + | 17.1995i | 0.0918303 | + | 0.579793i | ||||
\(881\) | −10.9101 | + | 15.0165i | −0.367571 | + | 0.505918i | −0.952239 | − | 0.305355i | \(-0.901225\pi\) |
0.584668 | + | 0.811273i | \(0.301225\pi\) | |||||||
\(882\) | 0.839633 | − | 1.15566i | 0.0282719 | − | 0.0389129i | ||||
\(883\) | −7.30514 | − | 46.1228i | −0.245838 | − | 1.55216i | −0.733844 | − | 0.679318i | \(-0.762276\pi\) |
0.488007 | − | 0.872840i | \(-0.337724\pi\) | |||||||
\(884\) | −18.6072 | + | 13.5190i | −0.625829 | + | 0.454692i | ||||
\(885\) | 7.46473 | − | 14.6503i | 0.250924 | − | 0.492466i | ||||
\(886\) | 48.5798 | + | 35.2953i | 1.63207 | + | 1.18577i | ||||
\(887\) | −0.882451 | + | 0.449631i | −0.0296298 | + | 0.0150971i | −0.468743 | − | 0.883335i | \(-0.655293\pi\) |
0.439113 | + | 0.898432i | \(0.355293\pi\) | |||||||
\(888\) | −76.1780 | − | 76.1780i | −2.55637 | − | 2.55637i | ||||
\(889\) | 0.679797 | − | 4.29207i | 0.0227997 | − | 0.143951i | ||||
\(890\) | 9.30600 | + | 18.2641i | 0.311938 | + | 0.612213i | ||||
\(891\) | 7.75376 | + | 3.95074i | 0.259761 | + | 0.132355i | ||||
\(892\) | −40.2865 | − | 123.989i | −1.34889 | − | 4.15146i | ||||
\(893\) | − | 28.3261i | − | 0.947896i | ||||||
\(894\) | −40.5863 | + | 13.1873i | −1.35741 | + | 0.441049i | ||||
\(895\) | 15.6307 | − | 2.47567i | 0.522478 | − | 0.0827524i | ||||
\(896\) | −49.1001 | − | 7.77670i | −1.64032 | − | 0.259801i | ||||
\(897\) | 20.3205 | + | 6.60253i | 0.678482 | + | 0.220452i | ||||
\(898\) | −4.22691 | + | 13.0091i | −0.141054 | + | 0.434119i | ||||
\(899\) | −1.79114 | + | 1.79114i | −0.0597380 | + | 0.0597380i | ||||
\(900\) | −1.07470 | − | 1.47920i | −0.0358233 | − | 0.0493065i | ||||
\(901\) | 22.6995 | 0.756230 | ||||||||
\(902\) | −12.4581 | − | 10.7575i | −0.414811 | − | 0.358187i | ||||
\(903\) | 2.58536 | 0.0860352 | ||||||||
\(904\) | 10.8283 | + | 14.9039i | 0.360144 | + | 0.495696i | ||||
\(905\) | 10.1971 | − | 10.1971i | 0.338962 | − | 0.338962i | ||||
\(906\) | 7.97121 | − | 24.5329i | 0.264826 | − | 0.815050i | ||||
\(907\) | −5.02782 | − | 1.63364i | −0.166946 | − | 0.0542440i | 0.224352 | − | 0.974508i | \(-0.427974\pi\) |
−0.391297 | + | 0.920264i | \(0.627974\pi\) | |||||||
\(908\) | 77.9205 | + | 12.3414i | 2.58588 | + | 0.409564i | ||||
\(909\) | 0.873900 | − | 0.138412i | 0.0289854 | − | 0.00459084i | ||||
\(910\) | 7.07484 | − | 2.29875i | 0.234529 | − | 0.0762029i | ||||
\(911\) | − | 16.7723i | − | 0.555691i | −0.960626 | − | 0.277845i | \(-0.910380\pi\) | ||
0.960626 | − | 0.277845i | \(-0.0896203\pi\) | |||||||
\(912\) | −43.3500 | − | 133.418i | −1.43546 | − | 4.41790i | ||||
\(913\) | 9.35132 | + | 4.76473i | 0.309483 | + | 0.157690i | ||||
\(914\) | −15.2713 | − | 29.9715i | −0.505128 | − | 0.991370i | ||||
\(915\) | −0.558211 | + | 3.52441i | −0.0184539 | + | 0.116513i | ||||
\(916\) | 80.3414 | + | 80.3414i | 2.65455 | + | 2.65455i | ||||
\(917\) | 8.55433 | − | 4.35865i | 0.282489 | − | 0.143935i | ||||
\(918\) | 25.5940 | + | 18.5952i | 0.844729 | + | 0.613732i | ||||
\(919\) | −20.4457 | + | 40.1269i | −0.674440 | + | 1.32366i | 0.259330 | + | 0.965789i | \(0.416498\pi\) |
−0.933770 | + | 0.357874i | \(0.883502\pi\) | |||||||
\(920\) | 61.9116 | − | 44.9814i | 2.04117 | − | 1.48299i | ||||
\(921\) | −2.71086 | − | 17.1157i | −0.0893258 | − | 0.563981i | ||||
\(922\) | 47.4019 | − | 65.2431i | 1.56110 | − | 2.14867i | ||||
\(923\) | 3.38960 | − | 4.66538i | 0.111570 | − | 0.153563i | ||||
\(924\) | 1.71943 | + | 10.8561i | 0.0565651 | + | 0.357138i | ||||
\(925\) | −18.2032 | + | 13.2254i | −0.598516 | + | 0.434847i | ||||
\(926\) | 22.6634 | − | 44.4794i | 0.744764 | − | 1.46168i | ||||
\(927\) | −0.797844 | − | 0.579667i | −0.0262046 | − | 0.0190388i | ||||
\(928\) | 30.6780 | − | 15.6312i | 1.00706 | − | 0.513121i | ||||
\(929\) | −9.65576 | − | 9.65576i | −0.316795 | − | 0.316795i | 0.530740 | − | 0.847535i | \(-0.321914\pi\) |
−0.847535 | + | 0.530740i | \(0.821914\pi\) | |||||||
\(930\) | 1.52689 | − | 9.64038i | 0.0500686 | − | 0.316121i | ||||
\(931\) | −13.1108 | − | 25.7314i | −0.429690 | − | 0.843314i | ||||
\(932\) | 88.4581 | + | 45.0717i | 2.89754 | + | 1.47637i | ||||
\(933\) | 13.7980 | + | 42.4658i | 0.451726 | + | 1.39027i | ||||
\(934\) | 47.2276i | 1.54533i | ||||||||
\(935\) | 2.44735 | − | 0.795191i | 0.0800368 | − | 0.0260055i | ||||
\(936\) | −1.65157 | + | 0.261583i | −0.0539832 | + | 0.00855011i | ||||
\(937\) | 18.4731 | + | 2.92586i | 0.603491 | + | 0.0955836i | 0.450701 | − | 0.892675i | \(-0.351174\pi\) |
0.152790 | + | 0.988259i | \(0.451174\pi\) | |||||||
\(938\) | −46.3960 | − | 15.0750i | −1.51488 | − | 0.492216i | ||||
\(939\) | −14.2558 | + | 43.8749i | −0.465222 | + | 1.43180i | ||||
\(940\) | −25.6543 | + | 25.6543i | −0.836750 | + | 0.836750i | ||||
\(941\) | 16.6302 | + | 22.8895i | 0.542129 | + | 0.746176i | 0.988918 | − | 0.148463i | \(-0.0474326\pi\) |
−0.446789 | + | 0.894639i | \(0.647433\pi\) | |||||||
\(942\) | 40.3011 | 1.31308 | ||||||||
\(943\) | −10.0388 | + | 40.8388i | −0.326909 | + | 1.32989i | ||||
\(944\) | 117.749 | 3.83239 | ||||||||
\(945\) | −4.41142 | − | 6.07180i | −0.143504 | − | 0.197516i | ||||
\(946\) | 2.20839 | − | 2.20839i | 0.0718011 | − | 0.0718011i | ||||
\(947\) | −3.74796 | + | 11.5350i | −0.121792 | + | 0.374839i | −0.993303 | − | 0.115538i | \(-0.963141\pi\) |
0.871511 | + | 0.490377i | \(0.163141\pi\) | |||||||
\(948\) | −76.7965 | − | 24.9527i | −2.49423 | − | 0.810426i | ||||
\(949\) | 1.09019 | + | 0.172669i | 0.0353890 | + | 0.00560507i | ||||
\(950\) | −49.7745 | + | 7.88351i | −1.61490 | + | 0.255775i | ||||
\(951\) | −34.7472 | + | 11.2901i | −1.12676 | + | 0.366105i | ||||
\(952\) | 26.2387i | 0.850400i | ||||||||
\(953\) | −9.89902 | − | 30.4661i | −0.320661 | − | 0.986892i | −0.973361 | − | 0.229276i | \(-0.926364\pi\) |
0.652701 | − | 0.757616i | \(-0.273636\pi\) | |||||||
\(954\) | 2.30966 | + | 1.17683i | 0.0747779 | + | 0.0381012i | ||||
\(955\) | 0.237841 | + | 0.466789i | 0.00769636 | + | 0.0151049i | ||||
\(956\) | 19.5486 | − | 123.425i | 0.632247 | − | 3.99185i | ||||
\(957\) | −1.77160 | − | 1.77160i | −0.0572677 | − | 0.0572677i | ||||
\(958\) | −54.7125 | + | 27.8774i | −1.76768 | + | 0.900679i | ||||
\(959\) | −7.29592 | − | 5.30080i | −0.235598 | − | 0.171172i | ||||
\(960\) | −30.5922 | + | 60.0405i | −0.987359 | + | 1.93780i | ||||
\(961\) | 22.8264 | − | 16.5843i | 0.736334 | − | 0.534978i | ||||
\(962\) | 5.05625 | + | 31.9239i | 0.163020 | + | 1.02927i | ||||
\(963\) | 0.276772 | − | 0.380944i | 0.00891885 | − | 0.0122757i | ||||
\(964\) | 10.1059 | − | 13.9096i | 0.325490 | − | 0.447999i | ||||
\(965\) | 4.02611 | + | 25.4199i | 0.129605 | + | 0.818294i | ||||
\(966\) | 30.9743 | − | 22.5041i | 0.996580 | − | 0.724058i | ||||
\(967\) | −18.5414 | + | 36.3896i | −0.596252 | + | 1.17021i | 0.373845 | + | 0.927491i | \(0.378039\pi\) |
−0.970097 | + | 0.242719i | \(0.921961\pi\) | |||||||
\(968\) | −78.5925 | − | 57.1008i | −2.52606 | − | 1.83529i | ||||
\(969\) | −18.4707 | + | 9.41127i | −0.593363 | + | 0.302334i | ||||
\(970\) | −39.6444 | − | 39.6444i | −1.27290 | − | 1.27290i | ||||
\(971\) | −2.17456 | + | 13.7297i | −0.0697851 | + | 0.440606i | 0.927913 | + | 0.372796i | \(0.121601\pi\) |
−0.997698 | + | 0.0678093i | \(0.978399\pi\) | |||||||
\(972\) | 2.44503 | + | 4.79863i | 0.0784242 | + | 0.153916i | ||||
\(973\) | −2.28115 | − | 1.16230i | −0.0731303 | − | 0.0372617i | ||||
\(974\) | 0.327173 | + | 1.00694i | 0.0104833 | + | 0.0322643i | ||||
\(975\) | 11.4734i | 0.367442i | ||||||||
\(976\) | −24.3031 | + | 7.89654i | −0.777922 | + | 0.252762i | ||||
\(977\) | −45.5148 | + | 7.20884i | −1.45615 | + | 0.230631i | −0.833781 | − | 0.552095i | \(-0.813829\pi\) |
−0.622367 | + | 0.782726i | \(0.713829\pi\) | |||||||
\(978\) | 0.788420 | + | 0.124873i | 0.0252109 | + | 0.00399301i | ||||
\(979\) | 5.50197 | + | 1.78770i | 0.175844 | + | 0.0571351i | ||||
\(980\) | −11.4302 | + | 35.1786i | −0.365125 | + | 1.12374i | ||||
\(981\) | −0.537571 | + | 0.537571i | −0.0171633 | + | 0.0171633i | ||||
\(982\) | 43.3188 | + | 59.6232i | 1.38236 | + | 1.90265i | ||||
\(983\) | −25.4016 | −0.810185 | −0.405093 | − | 0.914276i | \(-0.632761\pi\) | ||||
−0.405093 | + | 0.914276i | \(0.632761\pi\) | |||||||
\(984\) | −24.6717 | − | 105.274i | −0.786504 | − | 3.35601i | ||||
\(985\) | −28.4443 | −0.906312 | ||||||||
\(986\) | −5.52188 | − | 7.60021i | −0.175852 | − | 0.242040i | ||||
\(987\) | −8.17129 | + | 8.17129i | −0.260095 | + | 0.260095i | ||||
\(988\) | −16.4085 | + | 50.5003i | −0.522025 | + | 1.60663i | ||||
\(989\) | −7.58896 | − | 2.46580i | −0.241315 | − | 0.0784080i | ||||
\(990\) | 0.290241 | + | 0.0459697i | 0.00922448 | + | 0.00146101i | ||||
\(991\) | 27.6423 | − | 4.37811i | 0.878087 | − | 0.139075i | 0.298914 | − | 0.954280i | \(-0.403376\pi\) |
0.579173 | + | 0.815205i | \(0.303376\pi\) | |||||||
\(992\) | 36.0033 | − | 11.6982i | 1.14311 | − | 0.371418i | ||||
\(993\) | 11.2021i | 0.355489i | ||||||||
\(994\) | −3.19321 | − | 9.82768i | −0.101282 | − | 0.311715i | ||||
\(995\) | −5.70133 | − | 2.90497i | −0.180744 | − | 0.0920938i | ||||
\(996\) | 49.1631 | + | 96.4881i | 1.55779 | + | 3.05734i | ||||
\(997\) | −4.76664 | + | 30.0954i | −0.150961 | + | 0.953130i | 0.789629 | + | 0.613585i | \(0.210273\pi\) |
−0.940590 | + | 0.339545i | \(0.889727\pi\) | |||||||
\(998\) | 17.7360 | + | 17.7360i | 0.561425 | + | 0.561425i | ||||
\(999\) | 29.0554 | − | 14.8045i | 0.919272 | − | 0.468393i |
(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 | 41.2.g.a.36.1 | yes | 24 | |
3.2 | odd | 2 | 369.2.u.a.118.3 | 24 | |||
4.3 | odd | 2 | 656.2.bs.d.241.1 | 24 | |||
41.7 | odd | 40 | 1681.2.a.m.1.23 | 24 | |||
41.8 | even | 20 | inner | 41.2.g.a.8.1 | ✓ | 24 | |
41.34 | odd | 40 | 1681.2.a.m.1.24 | 24 | |||
123.8 | odd | 20 | 369.2.u.a.172.3 | 24 | |||
164.131 | odd | 20 | 656.2.bs.d.49.1 | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
41.2.g.a.8.1 | ✓ | 24 | 41.8 | even | 20 | inner | |
41.2.g.a.36.1 | yes | 24 | 1.1 | even | 1 | trivial | |
369.2.u.a.118.3 | 24 | 3.2 | odd | 2 | |||
369.2.u.a.172.3 | 24 | 123.8 | odd | 20 | |||
656.2.bs.d.49.1 | 24 | 164.131 | odd | 20 | |||
656.2.bs.d.241.1 | 24 | 4.3 | odd | 2 | |||
1681.2.a.m.1.23 | 24 | 41.7 | odd | 40 | |||
1681.2.a.m.1.24 | 24 | 41.34 | odd | 40 |