Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(13,570)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(570, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([0, 27, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bh (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.55147291521\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 67.5 | ||
Character | \(\chi\) | \(=\) | 570.67 |
Dual form | 570.2.bh.b.553.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{17}{18}\right)\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.819152 | − | 0.573576i | −0.579228 | − | 0.405580i | ||||
\(3\) | −0.996195 | − | 0.0871557i | −0.575153 | − | 0.0503194i | ||||
\(4\) | 0.342020 | + | 0.939693i | 0.171010 | + | 0.469846i | ||||
\(5\) | 2.07594 | − | 0.830958i | 0.928387 | − | 0.371616i | ||||
\(6\) | 0.766044 | + | 0.642788i | 0.312736 | + | 0.262417i | ||||
\(7\) | −3.91386 | + | 1.04872i | −1.47930 | + | 0.396378i | −0.906109 | − | 0.423043i | \(-0.860962\pi\) |
−0.573192 | + | 0.819421i | \(0.694295\pi\) | |||||||
\(8\) | 0.258819 | − | 0.965926i | 0.0915064 | − | 0.341506i | ||||
\(9\) | 0.984808 | + | 0.173648i | 0.328269 | + | 0.0578827i | ||||
\(10\) | −2.17712 | − | 0.510027i | −0.688467 | − | 0.161285i | ||||
\(11\) | −0.130360 | − | 0.225790i | −0.0393050 | − | 0.0680783i | 0.845704 | − | 0.533653i | \(-0.179181\pi\) |
−0.885009 | + | 0.465574i | \(0.845848\pi\) | |||||||
\(12\) | −0.258819 | − | 0.965926i | −0.0747146 | − | 0.278839i | ||||
\(13\) | 0.409781 | + | 4.68382i | 0.113653 | + | 1.29906i | 0.812151 | + | 0.583447i | \(0.198296\pi\) |
−0.698498 | + | 0.715612i | \(0.746148\pi\) | |||||||
\(14\) | 3.80757 | + | 1.38584i | 1.01762 | + | 0.370382i | ||||
\(15\) | −2.14046 | + | 0.646866i | −0.552664 | + | 0.167020i | ||||
\(16\) | −0.766044 | + | 0.642788i | −0.191511 | + | 0.160697i | ||||
\(17\) | −0.666919 | + | 0.952459i | −0.161752 | + | 0.231005i | −0.891844 | − | 0.452343i | \(-0.850588\pi\) |
0.730092 | + | 0.683349i | \(0.239477\pi\) | |||||||
\(18\) | −0.707107 | − | 0.707107i | −0.166667 | − | 0.166667i | ||||
\(19\) | −2.08595 | − | 3.82738i | −0.478550 | − | 0.878060i | ||||
\(20\) | 1.49086 | + | 1.66654i | 0.333366 | + | 0.372649i | ||||
\(21\) | 3.99037 | − | 0.703610i | 0.870771 | − | 0.153540i | ||||
\(22\) | −0.0227232 | + | 0.259728i | −0.00484461 | + | 0.0553742i | ||||
\(23\) | −3.25951 | + | 6.99004i | −0.679655 | + | 1.45752i | 0.198967 | + | 0.980006i | \(0.436241\pi\) |
−0.878622 | + | 0.477519i | \(0.841536\pi\) | |||||||
\(24\) | −0.342020 | + | 0.939693i | −0.0698146 | + | 0.191814i | ||||
\(25\) | 3.61902 | − | 3.45003i | 0.723804 | − | 0.690006i | ||||
\(26\) | 2.35086 | − | 4.07180i | 0.461041 | − | 0.798546i | ||||
\(27\) | −0.965926 | − | 0.258819i | −0.185893 | − | 0.0498097i | ||||
\(28\) | −2.32409 | − | 3.31915i | −0.439212 | − | 0.627260i | ||||
\(29\) | −0.753894 | + | 4.27555i | −0.139995 | + | 0.793949i | 0.831256 | + | 0.555890i | \(0.187622\pi\) |
−0.971251 | + | 0.238059i | \(0.923489\pi\) | |||||||
\(30\) | 2.12439 | + | 0.697835i | 0.387858 | + | 0.127407i | ||||
\(31\) | −0.654008 | − | 0.377592i | −0.117463 | − | 0.0678175i | 0.440117 | − | 0.897940i | \(-0.354937\pi\) |
−0.557581 | + | 0.830123i | \(0.688270\pi\) | |||||||
\(32\) | 0.996195 | − | 0.0871557i | 0.176104 | − | 0.0154071i | ||||
\(33\) | 0.110185 | + | 0.236293i | 0.0191808 | + | 0.0411333i | ||||
\(34\) | 1.09262 | − | 0.397680i | 0.187382 | − | 0.0682015i | ||||
\(35\) | −7.25349 | + | 5.42932i | −1.22606 | + | 0.917723i | ||||
\(36\) | 0.173648 | + | 0.984808i | 0.0289414 | + | 0.164135i | ||||
\(37\) | −7.49476 | + | 7.49476i | −1.23213 | + | 1.23213i | −0.268987 | + | 0.963144i | \(0.586689\pi\) |
−0.963144 | + | 0.268987i | \(0.913311\pi\) | |||||||
\(38\) | −0.486583 | + | 4.33166i | −0.0789341 | + | 0.702687i | ||||
\(39\) | − | 4.70171i | − | 0.752877i | ||||||
\(40\) | −0.265352 | − | 2.22027i | −0.0419558 | − | 0.351055i | ||||
\(41\) | 5.14517 | + | 6.13177i | 0.803540 | + | 0.957622i | 0.999737 | − | 0.0229426i | \(-0.00730350\pi\) |
−0.196197 | + | 0.980565i | \(0.562859\pi\) | |||||||
\(42\) | −3.67230 | − | 1.71242i | −0.566648 | − | 0.264232i | ||||
\(43\) | 6.44828 | − | 3.00688i | 0.983354 | − | 0.458545i | 0.136655 | − | 0.990619i | \(-0.456365\pi\) |
0.846698 | + | 0.532073i | \(0.178587\pi\) | |||||||
\(44\) | 0.167588 | − | 0.199723i | 0.0252648 | − | 0.0301094i | ||||
\(45\) | 2.18869 | − | 0.457851i | 0.326271 | − | 0.0682524i | ||||
\(46\) | 6.67936 | − | 3.85633i | 0.984818 | − | 0.568585i | ||||
\(47\) | −4.45881 | + | 3.12209i | −0.650384 | + | 0.455404i | −0.851634 | − | 0.524136i | \(-0.824388\pi\) |
0.201251 | + | 0.979540i | \(0.435499\pi\) | |||||||
\(48\) | 0.819152 | − | 0.573576i | 0.118234 | − | 0.0827886i | ||||
\(49\) | 8.15635 | − | 4.70907i | 1.16519 | − | 0.672724i | ||||
\(50\) | −4.94338 | + | 0.750315i | −0.699100 | + | 0.106111i | ||||
\(51\) | 0.747393 | − | 0.890709i | 0.104656 | − | 0.124724i | ||||
\(52\) | −4.26120 | + | 1.98703i | −0.590922 | + | 0.275551i | ||||
\(53\) | 7.62648 | + | 3.55628i | 1.04758 | + | 0.488493i | 0.868680 | − | 0.495374i | \(-0.164969\pi\) |
0.178898 | + | 0.983868i | \(0.442747\pi\) | |||||||
\(54\) | 0.642788 | + | 0.766044i | 0.0874723 | + | 0.104245i | ||||
\(55\) | −0.458241 | − | 0.360402i | −0.0617892 | − | 0.0485966i | ||||
\(56\) | 4.05193i | 0.541462i | ||||||||
\(57\) | 1.74443 | + | 3.99461i | 0.231056 | + | 0.529100i | ||||
\(58\) | 3.06991 | − | 3.06991i | 0.403099 | − | 0.403099i | ||||
\(59\) | 2.65827 | + | 15.0758i | 0.346077 | + | 1.96270i | 0.255478 | + | 0.966815i | \(0.417767\pi\) |
0.0905997 | + | 0.995887i | \(0.471122\pi\) | |||||||
\(60\) | −1.33994 | − | 1.79013i | −0.172985 | − | 0.231105i | ||||
\(61\) | −11.9223 | + | 4.33935i | −1.52649 | + | 0.555597i | −0.962759 | − | 0.270361i | \(-0.912857\pi\) |
−0.563732 | + | 0.825958i | \(0.690635\pi\) | |||||||
\(62\) | 0.319154 | + | 0.684428i | 0.0405326 | + | 0.0869225i | ||||
\(63\) | −4.03651 | + | 0.353149i | −0.508553 | + | 0.0444926i | ||||
\(64\) | −0.866025 | − | 0.500000i | −0.108253 | − | 0.0625000i | ||||
\(65\) | 4.74274 | + | 9.38280i | 0.588264 | + | 1.16379i | ||||
\(66\) | 0.0452735 | − | 0.256759i | 0.00557279 | − | 0.0316049i | ||||
\(67\) | 3.86106 | + | 5.51416i | 0.471703 | + | 0.673662i | 0.982548 | − | 0.186011i | \(-0.0595561\pi\) |
−0.510845 | + | 0.859673i | \(0.670667\pi\) | |||||||
\(68\) | −1.12312 | − | 0.300939i | −0.136198 | − | 0.0364942i | ||||
\(69\) | 3.85633 | − | 6.67936i | 0.464248 | − | 0.804100i | ||||
\(70\) | 9.05585 | − | 0.287011i | 1.08238 | − | 0.0343043i | ||||
\(71\) | 3.17911 | − | 8.73452i | 0.377290 | − | 1.03660i | −0.595184 | − | 0.803589i | \(-0.702921\pi\) |
0.972475 | − | 0.233008i | \(-0.0748568\pi\) | |||||||
\(72\) | 0.422618 | − | 0.906308i | 0.0498060 | − | 0.106809i | ||||
\(73\) | 0.439979 | − | 5.02899i | 0.0514957 | − | 0.588598i | −0.925983 | − | 0.377565i | \(-0.876762\pi\) |
0.977479 | − | 0.211033i | \(-0.0676829\pi\) | |||||||
\(74\) | 10.4382 | − | 1.84053i | 1.21341 | − | 0.213957i | ||||
\(75\) | −3.90594 | + | 3.12148i | −0.451019 | + | 0.360438i | ||||
\(76\) | 2.88312 | − | 3.26919i | 0.330717 | − | 0.375002i | ||||
\(77\) | 0.747001 | + | 0.747001i | 0.0851287 | + | 0.0851287i | ||||
\(78\) | −2.69679 | + | 3.85142i | −0.305352 | + | 0.436087i | ||||
\(79\) | −8.75501 | + | 7.34632i | −0.985015 | + | 0.826526i | −0.984838 | − | 0.173474i | \(-0.944501\pi\) |
−0.000176847 | 1.00000i | \(0.500056\pi\) | ||||||||
\(80\) | −1.05613 | + | 1.97094i | −0.118079 | + | 0.220357i | ||||
\(81\) | 0.939693 | + | 0.342020i | 0.104410 | + | 0.0380022i | ||||
\(82\) | −0.697635 | − | 7.97400i | −0.0770409 | − | 0.880581i | ||||
\(83\) | −1.89698 | − | 7.07963i | −0.208221 | − | 0.777090i | −0.988444 | − | 0.151588i | \(-0.951561\pi\) |
0.780223 | − | 0.625501i | \(-0.215106\pi\) | |||||||
\(84\) | 2.02597 | + | 3.50907i | 0.221051 | + | 0.382871i | ||||
\(85\) | −0.593028 | + | 2.53143i | −0.0643229 | + | 0.274572i | ||||
\(86\) | −7.00680 | − | 1.23549i | −0.755563 | − | 0.133226i | ||||
\(87\) | 1.12366 | − | 4.19357i | 0.120469 | − | 0.449598i | ||||
\(88\) | −0.251836 | + | 0.0674793i | −0.0268458 | + | 0.00719332i | ||||
\(89\) | 2.37999 | + | 1.99705i | 0.252279 | + | 0.211687i | 0.760153 | − | 0.649744i | \(-0.225124\pi\) |
−0.507874 | + | 0.861431i | \(0.669568\pi\) | |||||||
\(90\) | −2.05548 | − | 0.880332i | −0.216667 | − | 0.0927952i | ||||
\(91\) | −6.51583 | − | 17.9021i | −0.683045 | − | 1.87665i | ||||
\(92\) | −7.68331 | − | 0.672203i | −0.801041 | − | 0.0700820i | ||||
\(93\) | 0.618610 | + | 0.433155i | 0.0641469 | + | 0.0449161i | ||||
\(94\) | 5.44320 | 0.561423 | ||||||||
\(95\) | −7.51069 | − | 6.21205i | −0.770580 | − | 0.637343i | ||||
\(96\) | −1.00000 | −0.102062 | ||||||||
\(97\) | −4.89937 | − | 3.43058i | −0.497456 | − | 0.348322i | 0.297768 | − | 0.954638i | \(-0.403758\pi\) |
−0.795224 | + | 0.606316i | \(0.792647\pi\) | |||||||
\(98\) | −9.38230 | − | 0.820845i | −0.947756 | − | 0.0829179i | ||||
\(99\) | −0.0891715 | − | 0.244997i | −0.00896207 | − | 0.0246231i | ||||
\(100\) | 4.47974 | + | 2.22079i | 0.447974 | + | 0.222079i | ||||
\(101\) | 3.17402 | + | 2.66332i | 0.315827 | + | 0.265010i | 0.786895 | − | 0.617086i | \(-0.211687\pi\) |
−0.471069 | + | 0.882097i | \(0.656132\pi\) | |||||||
\(102\) | −1.12312 | + | 0.300939i | −0.111205 | + | 0.0297974i | ||||
\(103\) | 2.64221 | − | 9.86085i | 0.260344 | − | 0.971618i | −0.704694 | − | 0.709511i | \(-0.748916\pi\) |
0.965039 | − | 0.262107i | \(-0.0844175\pi\) | |||||||
\(104\) | 4.63028 | + | 0.816444i | 0.454037 | + | 0.0800589i | ||||
\(105\) | 7.69909 | − | 4.77648i | 0.751354 | − | 0.466137i | ||||
\(106\) | −4.20744 | − | 7.28750i | −0.408663 | − | 0.707825i | ||||
\(107\) | −2.28659 | − | 8.53368i | −0.221053 | − | 0.824982i | −0.983947 | − | 0.178459i | \(-0.942889\pi\) |
0.762894 | − | 0.646523i | \(-0.223778\pi\) | |||||||
\(108\) | −0.0871557 | − | 0.996195i | −0.00838657 | − | 0.0958589i | ||||
\(109\) | −9.06738 | − | 3.30026i | −0.868498 | − | 0.316107i | −0.130939 | − | 0.991390i | \(-0.541799\pi\) |
−0.737559 | + | 0.675283i | \(0.764021\pi\) | |||||||
\(110\) | 0.168651 | + | 0.558060i | 0.0160802 | + | 0.0532090i | ||||
\(111\) | 8.11945 | − | 6.81303i | 0.770664 | − | 0.646664i | ||||
\(112\) | 2.32409 | − | 3.31915i | 0.219606 | − | 0.313630i | ||||
\(113\) | −9.90969 | − | 9.90969i | −0.932225 | − | 0.932225i | 0.0656193 | − | 0.997845i | \(-0.479098\pi\) |
−0.997845 | + | 0.0656193i | \(0.979098\pi\) | |||||||
\(114\) | 0.862260 | − | 4.27276i | 0.0807580 | − | 0.400181i | ||||
\(115\) | −0.958104 | + | 17.2194i | −0.0893436 | + | 1.60572i | ||||
\(116\) | −4.27555 | + | 0.753894i | −0.396975 | + | 0.0699973i | ||||
\(117\) | −0.409781 | + | 4.68382i | −0.0378843 | + | 0.433019i | ||||
\(118\) | 6.46960 | − | 13.8741i | 0.595575 | − | 1.27721i | ||||
\(119\) | 1.61137 | − | 4.42720i | 0.147714 | − | 0.405841i | ||||
\(120\) | 0.0708331 | + | 2.23495i | 0.00646614 | + | 0.204022i | ||||
\(121\) | 5.46601 | − | 9.46741i | 0.496910 | − | 0.860674i | ||||
\(122\) | 12.2551 | + | 3.28375i | 1.10953 | + | 0.297296i | ||||
\(123\) | −4.59117 | − | 6.55687i | −0.413972 | − | 0.591213i | ||||
\(124\) | 0.131136 | − | 0.743710i | 0.0117764 | − | 0.0667872i | ||||
\(125\) | 4.64602 | − | 10.1693i | 0.415553 | − | 0.909569i | ||||
\(126\) | 3.50907 | + | 2.02597i | 0.312613 | + | 0.180487i | ||||
\(127\) | 5.66141 | − | 0.495309i | 0.502369 | − | 0.0439516i | 0.166845 | − | 0.985983i | \(-0.446642\pi\) |
0.335524 | + | 0.942032i | \(0.391087\pi\) | |||||||
\(128\) | 0.422618 | + | 0.906308i | 0.0373545 | + | 0.0801070i | ||||
\(129\) | −6.68581 | + | 2.43344i | −0.588653 | + | 0.214252i | ||||
\(130\) | 1.49673 | − | 10.4063i | 0.131272 | − | 0.912690i | ||||
\(131\) | −0.843996 | − | 4.78654i | −0.0737403 | − | 0.418202i | −0.999223 | − | 0.0394122i | \(-0.987451\pi\) |
0.925483 | − | 0.378790i | \(-0.123660\pi\) | |||||||
\(132\) | −0.184357 | + | 0.184357i | −0.0160462 | + | 0.0160462i | ||||
\(133\) | 12.1780 | + | 12.7923i | 1.05596 | + | 1.10923i | ||||
\(134\) | − | 6.73154i | − | 0.581517i | ||||||
\(135\) | −2.22027 | + | 0.265352i | −0.191090 | + | 0.0228379i | ||||
\(136\) | 0.747393 | + | 0.890709i | 0.0640885 | + | 0.0763777i | ||||
\(137\) | −3.99457 | − | 1.86270i | −0.341279 | − | 0.159141i | 0.244420 | − | 0.969669i | \(-0.421402\pi\) |
−0.585699 | + | 0.810528i | \(0.699180\pi\) | |||||||
\(138\) | −6.99004 | + | 3.25951i | −0.595032 | + | 0.277468i | ||||
\(139\) | −5.41101 | + | 6.44859i | −0.458956 | + | 0.546963i | −0.945042 | − | 0.326948i | \(-0.893980\pi\) |
0.486086 | + | 0.873911i | \(0.338424\pi\) | |||||||
\(140\) | −7.58274 | − | 4.95911i | −0.640858 | − | 0.419122i | ||||
\(141\) | 4.71395 | − | 2.72160i | 0.396986 | − | 0.229200i | ||||
\(142\) | −7.61409 | + | 5.33144i | −0.638960 | + | 0.447405i | ||||
\(143\) | 1.00414 | − | 0.703107i | 0.0839705 | − | 0.0587968i | ||||
\(144\) | −0.866025 | + | 0.500000i | −0.0721688 | + | 0.0416667i | ||||
\(145\) | 1.98776 | + | 9.50222i | 0.165075 | + | 0.789116i | ||||
\(146\) | −3.24492 | + | 3.86714i | −0.268551 | + | 0.320047i | ||||
\(147\) | −8.53574 | + | 3.98028i | −0.704016 | + | 0.328288i | ||||
\(148\) | −9.60613 | − | 4.47941i | −0.789619 | − | 0.368205i | ||||
\(149\) | −6.83450 | − | 8.14504i | −0.559904 | − | 0.667268i | 0.409622 | − | 0.912255i | \(-0.365661\pi\) |
−0.969526 | + | 0.244988i | \(0.921216\pi\) | |||||||
\(150\) | 4.98997 | − | 0.316616i | 0.407429 | − | 0.0258516i | ||||
\(151\) | 13.4443i | 1.09408i | 0.837106 | + | 0.547040i | \(0.184246\pi\) | ||||
−0.837106 | + | 0.547040i | \(0.815754\pi\) | |||||||
\(152\) | −4.23685 | + | 1.02428i | −0.343654 | + | 0.0830797i | ||||
\(153\) | −0.822180 | + | 0.822180i | −0.0664693 | + | 0.0664693i | ||||
\(154\) | −0.183445 | − | 1.04037i | −0.0147824 | − | 0.0838354i | ||||
\(155\) | −1.67144 | − | 0.240403i | −0.134253 | − | 0.0193096i | ||||
\(156\) | 4.41817 | − | 1.60808i | 0.353736 | − | 0.128749i | ||||
\(157\) | −7.19313 | − | 15.4257i | −0.574074 | − | 1.23111i | −0.952235 | − | 0.305366i | \(-0.901221\pi\) |
0.378161 | − | 0.925740i | \(-0.376557\pi\) | |||||||
\(158\) | 11.3854 | − | 0.996090i | 0.905771 | − | 0.0792447i | ||||
\(159\) | −7.28750 | − | 4.20744i | −0.577937 | − | 0.333672i | ||||
\(160\) | 1.99561 | − | 1.00873i | 0.157767 | − | 0.0797468i | ||||
\(161\) | 5.42671 | − | 30.7764i | 0.427684 | − | 2.42552i | ||||
\(162\) | −0.573576 | − | 0.819152i | −0.0450644 | − | 0.0643587i | ||||
\(163\) | −5.06825 | − | 1.35803i | −0.396976 | − | 0.106369i | 0.0548076 | − | 0.998497i | \(-0.482545\pi\) |
−0.451784 | + | 0.892128i | \(0.649212\pi\) | |||||||
\(164\) | −4.00223 | + | 6.93207i | −0.312522 | + | 0.541303i | ||||
\(165\) | 0.425086 | + | 0.398969i | 0.0330929 | + | 0.0310597i | ||||
\(166\) | −2.50679 | + | 6.88735i | −0.194565 | + | 0.534562i | ||||
\(167\) | −4.99091 | + | 10.7031i | −0.386209 | + | 0.828227i | 0.613062 | + | 0.790035i | \(0.289938\pi\) |
−0.999270 | + | 0.0381920i | \(0.987840\pi\) | |||||||
\(168\) | 0.353149 | − | 4.03651i | 0.0272460 | − | 0.311424i | ||||
\(169\) | −8.96776 | + | 1.58126i | −0.689828 | + | 0.121635i | ||||
\(170\) | 1.93775 | − | 1.73348i | 0.148618 | − | 0.132952i | ||||
\(171\) | −1.38964 | − | 4.13145i | −0.106269 | − | 0.315940i | ||||
\(172\) | 5.03099 | + | 5.03099i | 0.383609 | + | 0.383609i | ||||
\(173\) | −0.502287 | + | 0.717340i | −0.0381882 | + | 0.0545384i | −0.837792 | − | 0.545989i | \(-0.816154\pi\) |
0.799604 | + | 0.600528i | \(0.205043\pi\) | |||||||
\(174\) | −3.32579 | + | 2.79067i | −0.252127 | + | 0.211560i | ||||
\(175\) | −10.5462 | + | 17.2983i | −0.797221 | + | 1.30763i | ||||
\(176\) | 0.244997 | + | 0.0891715i | 0.0184673 | + | 0.00672155i | ||||
\(177\) | −1.33421 | − | 15.2501i | −0.100286 | − | 1.14627i | ||||
\(178\) | −0.804115 | − | 3.00100i | −0.0602709 | − | 0.224934i | ||||
\(179\) | 11.4017 | + | 19.7484i | 0.852205 | + | 1.47606i | 0.879214 | + | 0.476427i | \(0.158069\pi\) |
−0.0270087 | + | 0.999635i | \(0.508598\pi\) | |||||||
\(180\) | 1.17882 | + | 1.90010i | 0.0878638 | + | 0.141625i | ||||
\(181\) | 3.95939 | + | 0.698146i | 0.294299 | + | 0.0518928i | 0.318848 | − | 0.947806i | \(-0.396704\pi\) |
−0.0245494 | + | 0.999699i | \(0.507815\pi\) | |||||||
\(182\) | −4.93077 | + | 18.4019i | −0.365493 | + | 1.36404i | ||||
\(183\) | 12.2551 | − | 3.28375i | 0.905924 | − | 0.242741i | ||||
\(184\) | 5.90824 | + | 4.95760i | 0.435561 | + | 0.365479i | ||||
\(185\) | −9.33081 | + | 21.7865i | −0.686015 | + | 1.60177i | ||||
\(186\) | −0.258288 | − | 0.709640i | −0.0189386 | − | 0.0520333i | ||||
\(187\) | 0.301995 | + | 0.0264212i | 0.0220841 | + | 0.00193211i | ||||
\(188\) | −4.45881 | − | 3.12209i | −0.325192 | − | 0.227702i | ||||
\(189\) | 4.05193 | 0.294735 | ||||||||
\(190\) | 2.58931 | + | 9.39657i | 0.187848 | + | 0.681699i | ||||
\(191\) | 22.8632 | 1.65433 | 0.827163 | − | 0.561962i | \(-0.189953\pi\) | ||||
0.827163 | + | 0.561962i | \(0.189953\pi\) | |||||||
\(192\) | 0.819152 | + | 0.573576i | 0.0591172 | + | 0.0413943i | ||||
\(193\) | −16.0021 | − | 1.40000i | −1.15186 | − | 0.100774i | −0.504814 | − | 0.863228i | \(-0.668439\pi\) |
−0.647043 | + | 0.762453i | \(0.723995\pi\) | |||||||
\(194\) | 2.04563 | + | 5.62033i | 0.146868 | + | 0.403516i | ||||
\(195\) | −3.90693 | − | 9.76045i | −0.279781 | − | 0.698961i | ||||
\(196\) | 7.21472 | + | 6.05387i | 0.515337 | + | 0.432419i | ||||
\(197\) | 10.4251 | − | 2.79339i | 0.742757 | − | 0.199021i | 0.132454 | − | 0.991189i | \(-0.457714\pi\) |
0.610303 | + | 0.792168i | \(0.291048\pi\) | |||||||
\(198\) | −0.0674793 | + | 0.251836i | −0.00479554 | + | 0.0178972i | ||||
\(199\) | 20.1814 | + | 3.55852i | 1.43062 | + | 0.252257i | 0.834663 | − | 0.550761i | \(-0.185662\pi\) |
0.595955 | + | 0.803018i | \(0.296774\pi\) | |||||||
\(200\) | −2.39580 | − | 4.38864i | −0.169409 | − | 0.310323i | ||||
\(201\) | −3.36577 | − | 5.82969i | −0.237403 | − | 0.411195i | ||||
\(202\) | −1.07239 | − | 4.00221i | −0.0754530 | − | 0.281594i | ||||
\(203\) | −1.53320 | − | 17.5245i | −0.107609 | − | 1.22998i | ||||
\(204\) | 1.09262 | + | 0.397680i | 0.0764984 | + | 0.0278432i | ||||
\(205\) | 15.7763 | + | 8.45375i | 1.10186 | + | 0.590435i | ||||
\(206\) | −7.82032 | + | 6.56203i | −0.544868 | + | 0.457198i | ||||
\(207\) | −4.42380 | + | 6.31784i | −0.307475 | + | 0.439120i | ||||
\(208\) | −3.32461 | − | 3.32461i | −0.230520 | − | 0.230520i | ||||
\(209\) | −0.592259 | + | 0.969924i | −0.0409674 | + | 0.0670910i | ||||
\(210\) | −9.04640 | − | 0.503350i | −0.624261 | − | 0.0347345i | ||||
\(211\) | 0.197974 | − | 0.0349081i | 0.0136291 | − | 0.00240317i | −0.166829 | − | 0.985986i | \(-0.553353\pi\) |
0.180459 | + | 0.983583i | \(0.442242\pi\) | |||||||
\(212\) | −0.733406 | + | 8.38286i | −0.0503705 | + | 0.575738i | ||||
\(213\) | −3.92827 | + | 8.42421i | −0.269161 | + | 0.577217i | ||||
\(214\) | −3.02165 | + | 8.30192i | −0.206556 | + | 0.567507i | ||||
\(215\) | 10.8876 | − | 11.6003i | 0.742530 | − | 0.791137i | ||||
\(216\) | −0.500000 | + | 0.866025i | −0.0340207 | + | 0.0589256i | ||||
\(217\) | 2.95568 | + | 0.791973i | 0.200645 | + | 0.0537627i | ||||
\(218\) | 5.53462 | + | 7.90425i | 0.374851 | + | 0.535343i | ||||
\(219\) | −0.876610 | + | 4.97150i | −0.0592358 | + | 0.335943i | ||||
\(220\) | 0.181940 | − | 0.553870i | 0.0122664 | − | 0.0373419i | ||||
\(221\) | −4.73444 | − | 2.73343i | −0.318473 | − | 0.183870i | ||||
\(222\) | −10.5589 | + | 0.923781i | −0.708664 | + | 0.0620001i | ||||
\(223\) | 1.27820 | + | 2.74111i | 0.0855947 | + | 0.183559i | 0.944446 | − | 0.328666i | \(-0.106599\pi\) |
−0.858851 | + | 0.512225i | \(0.828821\pi\) | |||||||
\(224\) | −3.80757 | + | 1.38584i | −0.254404 | + | 0.0925955i | ||||
\(225\) | 4.16313 | − | 2.76918i | 0.277542 | − | 0.184612i | ||||
\(226\) | 2.43358 | + | 13.8015i | 0.161879 | + | 0.918063i | ||||
\(227\) | 8.18449 | − | 8.18449i | 0.543223 | − | 0.543223i | −0.381249 | − | 0.924472i | \(-0.624506\pi\) |
0.924472 | + | 0.381249i | \(0.124506\pi\) | |||||||
\(228\) | −3.15708 | + | 3.00547i | −0.209083 | + | 0.199042i | ||||
\(229\) | − | 19.6924i | − | 1.30131i | −0.759373 | − | 0.650656i | \(-0.774494\pi\) | ||
0.759373 | − | 0.650656i | \(-0.225506\pi\) | |||||||
\(230\) | 10.6615 | − | 13.5558i | 0.702997 | − | 0.893840i | ||||
\(231\) | −0.679053 | − | 0.809264i | −0.0446784 | − | 0.0532457i | ||||
\(232\) | 3.93474 | + | 1.83480i | 0.258328 | + | 0.120460i | ||||
\(233\) | 10.0807 | − | 4.70069i | 0.660406 | − | 0.307952i | −0.0633673 | − | 0.997990i | \(-0.520184\pi\) |
0.723773 | + | 0.690038i | \(0.242406\pi\) | |||||||
\(234\) | 3.02220 | − | 3.60172i | 0.197568 | − | 0.235452i | ||||
\(235\) | −6.66187 | + | 10.1863i | −0.434572 | + | 0.664483i | ||||
\(236\) | −13.2574 | + | 7.65419i | −0.862986 | + | 0.498245i | ||||
\(237\) | 9.36197 | − | 6.55532i | 0.608125 | − | 0.425814i | ||||
\(238\) | −3.85930 | + | 2.70231i | −0.250161 | + | 0.175165i | ||||
\(239\) | −22.6137 | + | 13.0560i | −1.46276 | + | 0.844524i | −0.999138 | − | 0.0415094i | \(-0.986783\pi\) |
−0.463621 | + | 0.886034i | \(0.653450\pi\) | |||||||
\(240\) | 1.22389 | − | 1.87139i | 0.0790017 | − | 0.120798i | ||||
\(241\) | 2.33252 | − | 2.77978i | 0.150251 | − | 0.179062i | −0.685669 | − | 0.727913i | \(-0.740490\pi\) |
0.835920 | + | 0.548852i | \(0.184935\pi\) | |||||||
\(242\) | −9.90778 | + | 4.62007i | −0.636896 | + | 0.296990i | ||||
\(243\) | −0.906308 | − | 0.422618i | −0.0581397 | − | 0.0271110i | ||||
\(244\) | −8.15532 | − | 9.71913i | −0.522091 | − | 0.622203i | ||||
\(245\) | 13.0190 | − | 16.5533i | 0.831755 | − | 1.05755i | ||||
\(246\) | 8.00446i | 0.510346i | ||||||||
\(247\) | 17.0720 | − | 11.3386i | 1.08626 | − | 0.721458i | ||||
\(248\) | −0.533995 | + | 0.533995i | −0.0339087 | + | 0.0339087i | ||||
\(249\) | 1.27273 | + | 7.21802i | 0.0806561 | + | 0.457423i | ||||
\(250\) | −9.63866 | + | 5.66535i | −0.609603 | + | 0.358308i | ||||
\(251\) | 10.5955 | − | 3.85646i | 0.668784 | − | 0.243417i | 0.0147596 | − | 0.999891i | \(-0.495302\pi\) |
0.654024 | + | 0.756474i | \(0.273079\pi\) | |||||||
\(252\) | −1.71242 | − | 3.67230i | −0.107872 | − | 0.231333i | ||||
\(253\) | 2.00319 | − | 0.175257i | 0.125940 | − | 0.0110183i | ||||
\(254\) | −4.92166 | − | 2.84152i | −0.308812 | − | 0.178293i | ||||
\(255\) | 0.811399 | − | 2.47011i | 0.0508118 | − | 0.154684i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | 7.93882 | + | 11.3378i | 0.495210 | + | 0.707234i | 0.986500 | − | 0.163763i | \(-0.0523632\pi\) |
−0.491289 | + | 0.870996i | \(0.663474\pi\) | |||||||
\(258\) | 6.87246 | + | 1.84147i | 0.427861 | + | 0.114645i | ||||
\(259\) | 21.4736 | − | 37.1934i | 1.33430 | − | 2.31108i | ||||
\(260\) | −7.19484 | + | 7.66582i | −0.446205 | + | 0.475414i | ||||
\(261\) | −1.48488 | + | 4.07968i | −0.0919119 | + | 0.252526i | ||||
\(262\) | −2.05409 | + | 4.40500i | −0.126902 | + | 0.272142i | ||||
\(263\) | −0.535093 | + | 6.11614i | −0.0329952 | + | 0.377137i | 0.961687 | + | 0.274149i | \(0.0883960\pi\) |
−0.994683 | + | 0.102988i | \(0.967160\pi\) | |||||||
\(264\) | 0.256759 | − | 0.0452735i | 0.0158024 | − | 0.00278639i | ||||
\(265\) | 18.7872 | + | 1.04534i | 1.15409 | + | 0.0642146i | ||||
\(266\) | −2.63826 | − | 17.4638i | −0.161762 | − | 1.07077i | ||||
\(267\) | −2.19688 | − | 2.19688i | −0.134447 | − | 0.134447i | ||||
\(268\) | −3.86106 | + | 5.51416i | −0.235851 | + | 0.336831i | ||||
\(269\) | 4.25580 | − | 3.57104i | 0.259481 | − | 0.217730i | −0.503761 | − | 0.863843i | \(-0.668051\pi\) |
0.763242 | + | 0.646113i | \(0.223606\pi\) | |||||||
\(270\) | 1.97094 | + | 1.05613i | 0.119947 | + | 0.0642740i | ||||
\(271\) | −25.6761 | − | 9.34534i | −1.55971 | − | 0.567689i | −0.589042 | − | 0.808102i | \(-0.700495\pi\) |
−0.970671 | + | 0.240413i | \(0.922717\pi\) | |||||||
\(272\) | −0.101339 | − | 1.15831i | −0.00614460 | − | 0.0702331i | ||||
\(273\) | 4.93077 | + | 18.4019i | 0.298424 | + | 1.11373i | ||||
\(274\) | 2.20376 | + | 3.81702i | 0.133134 | + | 0.230595i | ||||
\(275\) | −1.25076 | − | 0.367393i | −0.0754235 | − | 0.0221546i | ||||
\(276\) | 7.59549 | + | 1.33929i | 0.457195 | + | 0.0806157i | ||||
\(277\) | 2.05302 | − | 7.66196i | 0.123354 | − | 0.460363i | −0.876422 | − | 0.481544i | \(-0.840076\pi\) |
0.999776 | + | 0.0211815i | \(0.00674278\pi\) | |||||||
\(278\) | 8.13120 | − | 2.17875i | 0.487677 | − | 0.130673i | ||||
\(279\) | −0.578504 | − | 0.485422i | −0.0346341 | − | 0.0290615i | ||||
\(280\) | 3.36698 | + | 8.41155i | 0.201216 | + | 0.502686i | ||||
\(281\) | 8.90308 | + | 24.4610i | 0.531113 | + | 1.45922i | 0.857748 | + | 0.514071i | \(0.171863\pi\) |
−0.326634 | + | 0.945151i | \(0.605915\pi\) | |||||||
\(282\) | −5.42248 | − | 0.474406i | −0.322904 | − | 0.0282505i | ||||
\(283\) | −2.17666 | − | 1.52412i | −0.129389 | − | 0.0905993i | 0.507090 | − | 0.861893i | \(-0.330721\pi\) |
−0.636479 | + | 0.771294i | \(0.719610\pi\) | |||||||
\(284\) | 9.29508 | 0.551562 | ||||||||
\(285\) | 6.94069 | + | 6.84301i | 0.411131 | + | 0.405345i | ||||
\(286\) | −1.22583 | −0.0724849 | ||||||||
\(287\) | −26.5680 | − | 18.6031i | −1.56826 | − | 1.09811i | ||||
\(288\) | 0.996195 | + | 0.0871557i | 0.0587013 | + | 0.00513570i | ||||
\(289\) | 5.35195 | + | 14.7043i | 0.314820 | + | 0.864962i | ||||
\(290\) | 3.82197 | − | 8.92389i | 0.224434 | − | 0.524029i | ||||
\(291\) | 4.58173 | + | 3.84453i | 0.268586 | + | 0.225370i | ||||
\(292\) | 4.87618 | − | 1.30657i | 0.285357 | − | 0.0764612i | ||||
\(293\) | −1.68559 | + | 6.29069i | −0.0984730 | + | 0.367506i | −0.997523 | − | 0.0703395i | \(-0.977592\pi\) |
0.899050 | + | 0.437846i | \(0.144258\pi\) | |||||||
\(294\) | 9.27506 | + | 1.63544i | 0.540932 | + | 0.0953810i | ||||
\(295\) | 18.0458 | + | 29.0875i | 1.05066 | + | 1.69354i | ||||
\(296\) | 5.29960 | + | 9.17917i | 0.308033 | + | 0.533528i | ||||
\(297\) | 0.0674793 | + | 0.251836i | 0.00391555 | + | 0.0146130i | ||||
\(298\) | 0.926691 | + | 10.5921i | 0.0536818 | + | 0.613586i | ||||
\(299\) | −34.0758 | − | 12.4026i | −1.97065 | − | 0.717260i | ||||
\(300\) | −4.26914 | − | 2.60277i | −0.246479 | − | 0.150271i | ||||
\(301\) | −22.0843 | + | 18.5310i | −1.27292 | + | 1.06811i | ||||
\(302\) | 7.71133 | − | 11.0129i | 0.443737 | − | 0.633722i | ||||
\(303\) | −2.92982 | − | 2.92982i | −0.168314 | − | 0.168314i | ||||
\(304\) | 4.05812 | + | 1.59112i | 0.232749 | + | 0.0912569i | ||||
\(305\) | −21.1441 | + | 18.9151i | −1.21071 | + | 1.08308i | ||||
\(306\) | 1.14507 | − | 0.201907i | 0.0654595 | − | 0.0115423i | ||||
\(307\) | −1.76893 | + | 20.2190i | −0.100958 | + | 1.15396i | 0.761616 | + | 0.648029i | \(0.224406\pi\) |
−0.862574 | + | 0.505931i | \(0.831149\pi\) | |||||||
\(308\) | −0.446462 | + | 0.957441i | −0.0254395 | + | 0.0545553i | ||||
\(309\) | −3.49158 | + | 9.59304i | −0.198629 | + | 0.545729i | ||||
\(310\) | 1.23127 | + | 1.15563i | 0.0699317 | + | 0.0656351i | ||||
\(311\) | −1.98826 | + | 3.44376i | −0.112744 | + | 0.195278i | −0.916876 | − | 0.399173i | \(-0.869297\pi\) |
0.804132 | + | 0.594451i | \(0.202631\pi\) | |||||||
\(312\) | −4.54151 | − | 1.21689i | −0.257112 | − | 0.0688930i | ||||
\(313\) | −1.31639 | − | 1.88000i | −0.0744068 | − | 0.106264i | 0.780224 | − | 0.625501i | \(-0.215105\pi\) |
−0.854631 | + | 0.519237i | \(0.826216\pi\) | |||||||
\(314\) | −2.95556 | + | 16.7618i | −0.166792 | + | 0.945924i | ||||
\(315\) | −8.08609 | + | 4.08729i | −0.455599 | + | 0.230292i | ||||
\(316\) | −9.89767 | − | 5.71443i | −0.556788 | − | 0.321462i | ||||
\(317\) | 1.32498 | − | 0.115920i | 0.0744181 | − | 0.00651074i | −0.0498859 | − | 0.998755i | \(-0.515886\pi\) |
0.124304 | + | 0.992244i | \(0.460330\pi\) | |||||||
\(318\) | 3.55628 | + | 7.62648i | 0.199427 | + | 0.427672i | ||||
\(319\) | 1.06365 | − | 0.387138i | 0.0595532 | − | 0.0216756i | ||||
\(320\) | −2.21329 | − | 0.318337i | −0.123727 | − | 0.0177956i | ||||
\(321\) | 1.53413 | + | 8.70050i | 0.0856269 | + | 0.485614i | ||||
\(322\) | −22.0979 | + | 22.0979i | −1.23147 | + | 1.23147i | ||||
\(323\) | 5.03658 | + | 0.565768i | 0.280243 | + | 0.0314802i | ||||
\(324\) | 1.00000i | 0.0555556i | ||||||||
\(325\) | 17.6423 | + | 15.5371i | 0.978620 | + | 0.861842i | ||||
\(326\) | 3.37273 | + | 4.01947i | 0.186798 | + | 0.222618i | ||||
\(327\) | 8.74524 | + | 4.07797i | 0.483613 | + | 0.225512i | ||||
\(328\) | 7.25450 | − | 3.38283i | 0.400563 | − | 0.186786i | ||||
\(329\) | 14.1770 | − | 16.8955i | 0.781602 | − | 0.931477i | ||||
\(330\) | −0.119371 | − | 0.570636i | −0.00657115 | − | 0.0314125i | ||||
\(331\) | −9.73608 | + | 5.62113i | −0.535143 | + | 0.308965i | −0.743108 | − | 0.669171i | \(-0.766649\pi\) |
0.207965 | + | 0.978136i | \(0.433316\pi\) | |||||||
\(332\) | 6.00387 | − | 4.20395i | 0.329505 | − | 0.230722i | ||||
\(333\) | −8.68235 | + | 6.07945i | −0.475790 | + | 0.333152i | ||||
\(334\) | 10.2273 | − | 5.90475i | 0.559615 | − | 0.323094i | ||||
\(335\) | 12.5973 | + | 8.23866i | 0.688266 | + | 0.450126i | ||||
\(336\) | −2.60453 | + | 3.10396i | −0.142089 | + | 0.169335i | ||||
\(337\) | 4.52085 | − | 2.10811i | 0.246266 | − | 0.114836i | −0.295566 | − | 0.955322i | \(-0.595508\pi\) |
0.541833 | + | 0.840486i | \(0.317731\pi\) | |||||||
\(338\) | 8.25293 | + | 3.84841i | 0.448900 | + | 0.209326i | ||||
\(339\) | 9.00830 | + | 10.7357i | 0.489263 | + | 0.583082i | ||||
\(340\) | −2.58159 | + | 0.308535i | −0.140006 | + | 0.0167326i | ||||
\(341\) | 0.196891i | 0.0106623i | ||||||||
\(342\) | −1.23137 | + | 4.18135i | −0.0665851 | + | 0.226102i | ||||
\(343\) | −6.92833 | + | 6.92833i | −0.374095 | + | 0.374095i | ||||
\(344\) | −1.23549 | − | 7.00680i | −0.0666131 | − | 0.377781i | ||||
\(345\) | 2.45523 | − | 17.0704i | 0.132185 | − | 0.919038i | ||||
\(346\) | 0.822899 | − | 0.299511i | 0.0442393 | − | 0.0161018i | ||||
\(347\) | −3.29562 | − | 7.06748i | −0.176918 | − | 0.379402i | 0.797773 | − | 0.602958i | \(-0.206011\pi\) |
−0.974691 | + | 0.223556i | \(0.928233\pi\) | |||||||
\(348\) | 4.32498 | − | 0.378387i | 0.231843 | − | 0.0202837i | ||||
\(349\) | −25.9496 | − | 14.9820i | −1.38905 | − | 0.801968i | −0.395840 | − | 0.918319i | \(-0.629547\pi\) |
−0.993208 | + | 0.116352i | \(0.962880\pi\) | |||||||
\(350\) | 18.5609 | − | 8.12084i | 0.992120 | − | 0.434077i | ||||
\(351\) | 0.816444 | − | 4.63028i | 0.0435786 | − | 0.247146i | ||||
\(352\) | −0.149543 | − | 0.213569i | −0.00797066 | − | 0.0113833i | ||||
\(353\) | 26.4661 | + | 7.09156i | 1.40865 | + | 0.377446i | 0.881442 | − | 0.472293i | \(-0.156574\pi\) |
0.527204 | + | 0.849739i | \(0.323240\pi\) | |||||||
\(354\) | −7.65419 | + | 13.2574i | −0.406815 | + | 0.704625i | ||||
\(355\) | −0.658399 | − | 20.7740i | −0.0349442 | − | 1.10257i | ||||
\(356\) | −1.06261 | + | 2.91949i | −0.0563182 | + | 0.154733i | ||||
\(357\) | −1.99110 | + | 4.26992i | −0.105380 | + | 0.225988i | ||||
\(358\) | 1.98745 | − | 22.7167i | 0.105040 | − | 1.20061i | ||||
\(359\) | −16.1168 | + | 2.84182i | −0.850610 | + | 0.149985i | −0.581925 | − | 0.813243i | \(-0.697700\pi\) |
−0.268685 | + | 0.963228i | \(0.586589\pi\) | |||||||
\(360\) | 0.124225 | − | 2.23261i | 0.00654722 | − | 0.117669i | ||||
\(361\) | −10.2976 | + | 15.9674i | −0.541980 | + | 0.840391i | ||||
\(362\) | −2.84290 | − | 2.84290i | −0.149419 | − | 0.149419i | ||||
\(363\) | −6.27035 | + | 8.95499i | −0.329108 | + | 0.470015i | ||||
\(364\) | 14.5939 | − | 12.2458i | 0.764929 | − | 0.641852i | ||||
\(365\) | −3.26551 | − | 10.8055i | −0.170924 | − | 0.565583i | ||||
\(366\) | −11.9223 | − | 4.33935i | −0.623187 | − | 0.226822i | ||||
\(367\) | 2.67560 | + | 30.5823i | 0.139665 | + | 1.59638i | 0.665900 | + | 0.746041i | \(0.268048\pi\) |
−0.526234 | + | 0.850340i | \(0.676397\pi\) | |||||||
\(368\) | −1.99618 | − | 7.44986i | −0.104058 | − | 0.388351i | ||||
\(369\) | 4.00223 | + | 6.93207i | 0.208348 | + | 0.360869i | ||||
\(370\) | 20.1396 | − | 12.4945i | 1.04701 | − | 0.649558i | ||||
\(371\) | −33.5785 | − | 5.92080i | −1.74331 | − | 0.307393i | ||||
\(372\) | −0.195456 | + | 0.729451i | −0.0101339 | + | 0.0378203i | ||||
\(373\) | −1.35387 | + | 0.362767i | −0.0701005 | + | 0.0187834i | −0.293699 | − | 0.955898i | \(-0.594886\pi\) |
0.223598 | + | 0.974681i | \(0.428220\pi\) | |||||||
\(374\) | −0.232226 | − | 0.194860i | −0.0120081 | − | 0.0100760i | ||||
\(375\) | −5.51465 | + | 9.72567i | −0.284775 | + | 0.502231i | ||||
\(376\) | 1.86168 | + | 5.11493i | 0.0960090 | + | 0.263782i | ||||
\(377\) | −20.3348 | − | 1.77907i | −1.04730 | − | 0.0916266i | ||||
\(378\) | −3.31915 | − | 2.32409i | −0.170719 | − | 0.119538i | ||||
\(379\) | −13.6563 | −0.701477 | −0.350738 | − | 0.936473i | \(-0.614069\pi\) | ||||
−0.350738 | + | 0.936473i | \(0.614069\pi\) | |||||||
\(380\) | 3.26861 | − | 9.18238i | 0.167676 | − | 0.471046i | ||||
\(381\) | −5.68304 | −0.291151 | ||||||||
\(382\) | −18.7285 | − | 13.1138i | −0.958232 | − | 0.670961i | ||||
\(383\) | 30.3811 | + | 2.65800i | 1.55240 | + | 0.135817i | 0.830831 | − | 0.556524i | \(-0.187865\pi\) |
0.721570 | + | 0.692342i | \(0.243421\pi\) | |||||||
\(384\) | −0.342020 | − | 0.939693i | −0.0174536 | − | 0.0479535i | ||||
\(385\) | 2.17145 | + | 0.930000i | 0.110667 | + | 0.0473972i | ||||
\(386\) | 12.3052 | + | 10.3253i | 0.626316 | + | 0.525542i | ||||
\(387\) | 6.87246 | − | 1.84147i | 0.349347 | − | 0.0936072i | ||||
\(388\) | 1.54800 | − | 5.77723i | 0.0785880 | − | 0.293294i | ||||
\(389\) | 19.4395 | + | 3.42770i | 0.985620 | + | 0.173791i | 0.643152 | − | 0.765738i | \(-0.277626\pi\) |
0.342468 | + | 0.939530i | \(0.388737\pi\) | |||||||
\(390\) | −2.39800 | + | 10.2362i | −0.121427 | + | 0.518331i | ||||
\(391\) | −4.48390 | − | 7.76634i | −0.226761 | − | 0.392761i | ||||
\(392\) | −2.43759 | − | 9.09723i | −0.123117 | − | 0.459479i | ||||
\(393\) | 0.423610 | + | 4.84189i | 0.0213683 | + | 0.244241i | ||||
\(394\) | −10.1420 | − | 3.69137i | −0.510945 | − | 0.185969i | ||||
\(395\) | −12.0703 | + | 22.5255i | −0.607325 | + | 1.13338i | ||||
\(396\) | 0.199723 | − | 0.167588i | 0.0100365 | − | 0.00842159i | ||||
\(397\) | 0.918100 | − | 1.31118i | 0.0460781 | − | 0.0658063i | −0.795452 | − | 0.606017i | \(-0.792766\pi\) |
0.841530 | + | 0.540210i | \(0.181655\pi\) | |||||||
\(398\) | −14.4905 | − | 14.4905i | −0.726344 | − | 0.726344i | ||||
\(399\) | −11.0167 | − | 13.8050i | −0.551525 | − | 0.691113i | ||||
\(400\) | −0.554692 | + | 4.96914i | −0.0277346 | + | 0.248457i | ||||
\(401\) | −6.73811 | + | 1.18811i | −0.336485 | + | 0.0593314i | −0.339338 | − | 0.940665i | \(-0.610203\pi\) |
0.00285278 | + | 0.999996i | \(0.499092\pi\) | |||||||
\(402\) | −0.586693 | + | 6.70593i | −0.0292616 | + | 0.334461i | ||||
\(403\) | 1.50057 | − | 3.21799i | 0.0747488 | − | 0.160299i | ||||
\(404\) | −1.41712 | + | 3.89351i | −0.0705045 | + | 0.193710i | ||||
\(405\) | 2.23495 | − | 0.0708331i | 0.111055 | − | 0.00351972i | ||||
\(406\) | −8.79574 | + | 15.2347i | −0.436525 | + | 0.756084i | ||||
\(407\) | 2.66926 | + | 0.715226i | 0.132310 | + | 0.0354524i | ||||
\(408\) | −0.666919 | − | 0.952459i | −0.0330174 | − | 0.0471537i | ||||
\(409\) | −2.05975 | + | 11.6814i | −0.101848 | + | 0.577609i | 0.890584 | + | 0.454818i | \(0.150296\pi\) |
−0.992433 | + | 0.122791i | \(0.960815\pi\) | |||||||
\(410\) | −8.07430 | − | 15.9738i | −0.398761 | − | 0.788890i | ||||
\(411\) | 3.81702 | + | 2.20376i | 0.188280 | + | 0.108703i | ||||
\(412\) | 10.1699 | − | 0.889747i | 0.501033 | − | 0.0438347i | ||||
\(413\) | −26.2144 | − | 56.2169i | −1.28992 | − | 2.76625i | ||||
\(414\) | 7.24753 | − | 2.63788i | 0.356197 | − | 0.129645i | ||||
\(415\) | −9.82088 | − | 13.1205i | −0.482088 | − | 0.644062i | ||||
\(416\) | 0.816444 | + | 4.63028i | 0.0400295 | + | 0.227018i | ||||
\(417\) | 5.95245 | − | 5.95245i | 0.291493 | − | 0.291493i | ||||
\(418\) | 1.04148 | − | 0.454809i | 0.0509403 | − | 0.0222454i | ||||
\(419\) | − | 7.05503i | − | 0.344661i | −0.985039 | − | 0.172330i | \(-0.944870\pi\) | ||
0.985039 | − | 0.172330i | \(-0.0551296\pi\) | |||||||
\(420\) | 7.12167 | + | 5.60112i | 0.347502 | + | 0.273307i | ||||
\(421\) | 12.8478 | + | 15.3115i | 0.626166 | + | 0.746235i | 0.982117 | − | 0.188269i | \(-0.0602878\pi\) |
−0.355952 | + | 0.934504i | \(0.615843\pi\) | |||||||
\(422\) | −0.182193 | − | 0.0849581i | −0.00886902 | − | 0.00413569i | ||||
\(423\) | −4.93321 | + | 2.30039i | −0.239861 | + | 0.111849i | ||||
\(424\) | 5.40898 | − | 6.44618i | 0.262683 | − | 0.313054i | ||||
\(425\) | 0.872420 | + | 5.74786i | 0.0423186 | + | 0.278812i | ||||
\(426\) | 8.04978 | − | 4.64754i | 0.390013 | − | 0.225174i | ||||
\(427\) | 42.1114 | − | 29.4867i | 2.03791 | − | 1.42696i | ||||
\(428\) | 7.23698 | − | 5.06739i | 0.349812 | − | 0.244941i | ||||
\(429\) | −1.06160 | + | 0.612915i | −0.0512545 | + | 0.0295918i | ||||
\(430\) | −15.5723 | + | 3.25756i | −0.750963 | + | 0.157094i | ||||
\(431\) | 18.3111 | − | 21.8223i | 0.882015 | − | 1.05114i | −0.116306 | − | 0.993213i | \(-0.537105\pi\) |
0.998321 | − | 0.0579307i | \(-0.0184502\pi\) | |||||||
\(432\) | 0.906308 | − | 0.422618i | 0.0436048 | − | 0.0203332i | ||||
\(433\) | −10.1080 | − | 4.71344i | −0.485760 | − | 0.226513i | 0.164280 | − | 0.986414i | \(-0.447470\pi\) |
−0.650040 | + | 0.759900i | \(0.725248\pi\) | |||||||
\(434\) | −1.96690 | − | 2.34406i | −0.0944141 | − | 0.112518i | ||||
\(435\) | −1.15203 | − | 9.63930i | −0.0552354 | − | 0.462169i | ||||
\(436\) | − | 9.64931i | − | 0.462118i | ||||||
\(437\) | 33.5527 | − | 2.10551i | 1.60504 | − | 0.100720i | ||||
\(438\) | 3.56961 | − | 3.56961i | 0.170563 | − | 0.170563i | ||||
\(439\) | −1.82803 | − | 10.3673i | −0.0872472 | − | 0.494803i | −0.996849 | − | 0.0793223i | \(-0.974724\pi\) |
0.909602 | − | 0.415481i | \(-0.136387\pi\) | |||||||
\(440\) | −0.466723 | + | 0.349348i | −0.0222502 | + | 0.0166545i | ||||
\(441\) | 8.85016 | − | 3.22119i | 0.421436 | − | 0.153390i | ||||
\(442\) | 2.31039 | + | 4.95466i | 0.109894 | + | 0.235669i | ||||
\(443\) | 4.48334 | − | 0.392241i | 0.213010 | − | 0.0186359i | 0.0198486 | − | 0.999803i | \(-0.493682\pi\) |
0.193161 | + | 0.981167i | \(0.438126\pi\) | |||||||
\(444\) | 9.17917 | + | 5.29960i | 0.435624 | + | 0.251508i | ||||
\(445\) | 6.60018 | + | 2.16808i | 0.312878 | + | 0.102777i | ||||
\(446\) | 0.525196 | − | 2.97853i | 0.0248688 | − | 0.141038i | ||||
\(447\) | 6.09860 | + | 8.70971i | 0.288454 | + | 0.411955i | ||||
\(448\) | 3.91386 | + | 1.04872i | 0.184913 | + | 0.0495472i | ||||
\(449\) | 8.22738 | − | 14.2502i | 0.388274 | − | 0.672511i | −0.603943 | − | 0.797027i | \(-0.706405\pi\) |
0.992218 | + | 0.124517i | \(0.0397380\pi\) | |||||||
\(450\) | −4.99857 | − | 0.119493i | −0.235635 | − | 0.00563295i | ||||
\(451\) | 0.713770 | − | 1.96107i | 0.0336101 | − | 0.0923430i | ||||
\(452\) | 5.92275 | − | 12.7014i | 0.278583 | − | 0.597423i | ||||
\(453\) | 1.17175 | − | 13.3931i | 0.0550535 | − | 0.629264i | ||||
\(454\) | −11.3988 | + | 2.00991i | −0.534971 | + | 0.0943298i | ||||
\(455\) | −28.4023 | − | 31.7492i | −1.33152 | − | 1.48843i | ||||
\(456\) | 4.30999 | − | 0.651112i | 0.201834 | − | 0.0304911i | ||||
\(457\) | 29.8204 | + | 29.8204i | 1.39494 | + | 1.39494i | 0.813812 | + | 0.581128i | \(0.197388\pi\) |
0.581128 | + | 0.813812i | \(0.302612\pi\) | |||||||
\(458\) | −11.2951 | + | 16.1311i | −0.527785 | + | 0.753756i | ||||
\(459\) | 0.890709 | − | 0.747393i | 0.0415747 | − | 0.0348853i | ||||
\(460\) | −16.5086 | + | 4.98906i | −0.769719 | + | 0.232616i | ||||
\(461\) | 9.82740 | + | 3.57688i | 0.457708 | + | 0.166592i | 0.560576 | − | 0.828103i | \(-0.310580\pi\) |
−0.102868 | + | 0.994695i | \(0.532802\pi\) | |||||||
\(462\) | 0.0920730 | + | 1.05240i | 0.00428362 | + | 0.0489620i | ||||
\(463\) | 6.51568 | + | 24.3168i | 0.302809 | + | 1.13010i | 0.934815 | + | 0.355136i | \(0.115565\pi\) |
−0.632005 | + | 0.774964i | \(0.717768\pi\) | |||||||
\(464\) | −2.17075 | − | 3.75985i | −0.100775 | − | 0.174547i | ||||
\(465\) | 1.64413 | + | 0.385164i | 0.0762446 | + | 0.0178615i | ||||
\(466\) | −10.9538 | − | 1.93145i | −0.507425 | − | 0.0894727i | ||||
\(467\) | −1.79136 | + | 6.68546i | −0.0828944 | + | 0.309366i | −0.994907 | − | 0.100796i | \(-0.967861\pi\) |
0.912013 | + | 0.410162i | \(0.134528\pi\) | |||||||
\(468\) | −4.54151 | + | 1.21689i | −0.209931 | + | 0.0562509i | ||||
\(469\) | −20.8944 | − | 17.5325i | −0.964816 | − | 0.809576i | ||||
\(470\) | 11.2997 | − | 4.52307i | 0.521218 | − | 0.208634i | ||||
\(471\) | 5.82132 | + | 15.9939i | 0.268232 | + | 0.736962i | ||||
\(472\) | 15.2501 | + | 1.33421i | 0.701944 | + | 0.0614121i | ||||
\(473\) | −1.51952 | − | 1.06398i | −0.0698677 | − | 0.0489219i | ||||
\(474\) | −11.4289 | −0.524944 | ||||||||
\(475\) | −20.7537 | − | 6.65476i | −0.952243 | − | 0.305341i | ||||
\(476\) | 4.71133 | 0.215944 | ||||||||
\(477\) | 6.89307 | + | 4.82658i | 0.315612 | + | 0.220994i | ||||
\(478\) | 26.0127 | + | 2.27582i | 1.18979 | + | 0.104093i | ||||
\(479\) | −0.519254 | − | 1.42664i | −0.0237253 | − | 0.0651847i | 0.927265 | − | 0.374407i | \(-0.122154\pi\) |
−0.950990 | + | 0.309222i | \(0.899931\pi\) | |||||||
\(480\) | −2.07594 | + | 0.830958i | −0.0947531 | + | 0.0379279i | ||||
\(481\) | −38.1753 | − | 32.0329i | −1.74065 | − | 1.46058i | ||||
\(482\) | −3.50510 | + | 0.939190i | −0.159653 | + | 0.0427789i | ||||
\(483\) | −8.08840 | + | 30.1863i | −0.368035 | + | 1.37352i | ||||
\(484\) | 10.7659 | + | 1.89833i | 0.489361 | + | 0.0862876i | ||||
\(485\) | −13.0214 | − | 3.05049i | −0.591273 | − | 0.138515i | ||||
\(486\) | 0.500000 | + | 0.866025i | 0.0226805 | + | 0.0392837i | ||||
\(487\) | −2.51684 | − | 9.39299i | −0.114049 | − | 0.425637i | 0.885165 | − | 0.465277i | \(-0.154045\pi\) |
−0.999214 | + | 0.0396404i | \(0.987379\pi\) | |||||||
\(488\) | 1.10578 | + | 12.6391i | 0.0500564 | + | 0.572147i | ||||
\(489\) | 4.93060 | + | 1.79459i | 0.222970 | + | 0.0811543i | ||||
\(490\) | −20.1591 | + | 6.09228i | −0.910697 | + | 0.275221i | ||||
\(491\) | −5.73227 | + | 4.80994i | −0.258694 | + | 0.217070i | −0.762905 | − | 0.646511i | \(-0.776228\pi\) |
0.504212 | + | 0.863580i | \(0.331783\pi\) | |||||||
\(492\) | 4.59117 | − | 6.55687i | 0.206986 | − | 0.295607i | ||||
\(493\) | −3.56950 | − | 3.56950i | −0.160762 | − | 0.160762i | ||||
\(494\) | −20.4881 | − | 0.504035i | −0.921803 | − | 0.0226776i | ||||
\(495\) | −0.388696 | − | 0.434500i | −0.0174706 | − | 0.0195293i | ||||
\(496\) | 0.743710 | − | 0.131136i | 0.0333936 | − | 0.00588819i | ||||
\(497\) | −3.28255 | + | 37.5197i | −0.147242 | + | 1.68299i | ||||
\(498\) | 3.09752 | − | 6.64266i | 0.138803 | − | 0.297665i | ||||
\(499\) | 7.36097 | − | 20.2241i | 0.329522 | − | 0.905354i | −0.658711 | − | 0.752396i | \(-0.728898\pi\) |
0.988233 | − | 0.152958i | \(-0.0488800\pi\) | |||||||
\(500\) | 11.1450 | + | 0.887728i | 0.498421 | + | 0.0397004i | ||||
\(501\) | 5.90475 | − | 10.2273i | 0.263805 | − | 0.456924i | ||||
\(502\) | −10.8913 | − | 2.91832i | −0.486103 | − | 0.130251i | ||||
\(503\) | 5.11863 | + | 7.31016i | 0.228228 | + | 0.325944i | 0.916891 | − | 0.399138i | \(-0.130691\pi\) |
−0.688662 | + | 0.725082i | \(0.741802\pi\) | |||||||
\(504\) | −0.703610 | + | 3.99037i | −0.0313413 | + | 0.177745i | ||||
\(505\) | 8.80217 | + | 2.89140i | 0.391691 | + | 0.128666i | ||||
\(506\) | −1.74144 | − | 1.00542i | −0.0774166 | − | 0.0446965i | ||||
\(507\) | 9.07145 | − | 0.793649i | 0.402877 | − | 0.0352472i | ||||
\(508\) | 2.40176 | + | 5.15058i | 0.106561 | + | 0.228520i | ||||
\(509\) | −9.40036 | + | 3.42145i | −0.416663 | + | 0.151653i | −0.541840 | − | 0.840481i | \(-0.682272\pi\) |
0.125177 | + | 0.992134i | \(0.460050\pi\) | |||||||
\(510\) | −2.08145 | + | 1.55799i | −0.0921684 | + | 0.0689891i | ||||
\(511\) | 3.55196 | + | 20.1442i | 0.157130 | + | 0.891126i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 1.02428 | + | 4.23685i | 0.0452229 | + | 0.187061i | ||||
\(514\) | − | 13.8409i | − | 0.610497i | ||||||
\(515\) | −2.70890 | − | 22.6661i | −0.119368 | − | 0.998786i | ||||
\(516\) | −4.57336 | − | 5.45032i | −0.201331 | − | 0.239937i | ||||
\(517\) | 1.28619 | + | 0.599759i | 0.0565664 | + | 0.0263774i | ||||
\(518\) | −38.9234 | + | 18.1503i | −1.71020 | + | 0.797477i | ||||
\(519\) | 0.562896 | − | 0.670833i | 0.0247084 | − | 0.0294463i | ||||
\(520\) | 10.2906 | − | 2.15269i | 0.451273 | − | 0.0944015i | ||||
\(521\) | 25.2621 | − | 14.5851i | 1.10675 | − | 0.638985i | 0.168767 | − | 0.985656i | \(-0.446021\pi\) |
0.937987 | + | 0.346671i | \(0.112688\pi\) | |||||||
\(522\) | 3.55635 | − | 2.49019i | 0.155657 | − | 0.108992i | ||||
\(523\) | −5.64654 | + | 3.95375i | −0.246906 | + | 0.172886i | −0.690478 | − | 0.723353i | \(-0.742600\pi\) |
0.443572 | + | 0.896239i | \(0.353711\pi\) | |||||||
\(524\) | 4.20921 | − | 2.43019i | 0.183880 | − | 0.106163i | ||||
\(525\) | 12.0138 | − | 16.3133i | 0.524323 | − | 0.711970i | ||||
\(526\) | 3.94639 | − | 4.70313i | 0.172071 | − | 0.205066i | ||||
\(527\) | 0.795811 | − | 0.371093i | 0.0346661 | − | 0.0161651i | ||||
\(528\) | −0.236293 | − | 0.110185i | −0.0102833 | − | 0.00479519i | ||||
\(529\) | −23.4522 | − | 27.9492i | −1.01966 | − | 1.21518i | ||||
\(530\) | −14.7900 | − | 11.6322i | −0.642436 | − | 0.505270i | ||||
\(531\) | 15.3084i | 0.664327i | ||||||||
\(532\) | −7.85569 | + | 15.8188i | −0.340587 | + | 0.685830i | ||||
\(533\) | −26.6117 | + | 26.6117i | −1.15268 | + | 1.15268i | ||||
\(534\) | 0.539501 | + | 3.05966i | 0.0233465 | + | 0.132404i | ||||
\(535\) | −11.8379 | − | 15.8153i | −0.511799 | − | 0.683755i | ||||
\(536\) | 6.32558 | − | 2.30232i | 0.273224 | − | 0.0994452i | ||||
\(537\) | −9.63716 | − | 20.6669i | −0.415874 | − | 0.891845i | ||||
\(538\) | −5.53441 | + | 0.484199i | −0.238606 | + | 0.0208753i | ||||
\(539\) | −2.12652 | − | 1.22775i | −0.0915958 | − | 0.0528829i | ||||
\(540\) | −1.00873 | − | 1.99561i | −0.0434086 | − | 0.0858775i | ||||
\(541\) | −7.25340 | + | 41.1361i | −0.311848 | + | 1.76858i | 0.277527 | + | 0.960718i | \(0.410485\pi\) |
−0.589375 | + | 0.807860i | \(0.700626\pi\) | |||||||
\(542\) | 15.6724 | + | 22.3825i | 0.673186 | + | 0.961410i | ||||
\(543\) | −3.88347 | − | 1.04057i | −0.166656 | − | 0.0446553i | ||||
\(544\) | −0.581369 | + | 1.00696i | −0.0249260 | + | 0.0431731i | ||||
\(545\) | −21.5657 | + | 0.683490i | −0.923772 | + | 0.0292775i | ||||
\(546\) | 6.51583 | − | 17.9021i | 0.278852 | − | 0.766139i | ||||
\(547\) | 19.6451 | − | 42.1290i | 0.839963 | − | 1.80131i | 0.318903 | − | 0.947787i | \(-0.396686\pi\) |
0.521061 | − | 0.853520i | \(-0.325537\pi\) | |||||||
\(548\) | 0.384141 | − | 4.39075i | 0.0164097 | − | 0.187563i | ||||
\(549\) | −12.4947 | + | 2.20315i | −0.533260 | + | 0.0940280i | ||||
\(550\) | 0.813833 | + | 1.01836i | 0.0347020 | + | 0.0434228i | ||||
\(551\) | 17.9367 | − | 6.03314i | 0.764130 | − | 0.257020i | ||||
\(552\) | −5.45367 | − | 5.45367i | −0.232124 | − | 0.232124i | ||||
\(553\) | 26.5617 | − | 37.9340i | 1.12952 | − | 1.61312i | ||||
\(554\) | −6.07645 | + | 5.09875i | −0.258164 | + | 0.216625i | ||||
\(555\) | 11.1941 | − | 20.8903i | 0.475164 | − | 0.886745i | ||||
\(556\) | −7.91037 | − | 2.87914i | −0.335474 | − | 0.122103i | ||||
\(557\) | −3.13099 | − | 35.7874i | −0.132665 | − | 1.51636i | −0.712525 | − | 0.701647i | \(-0.752449\pi\) |
0.579861 | − | 0.814716i | \(-0.303107\pi\) | |||||||
\(558\) | 0.195456 | + | 0.729451i | 0.00827430 | + | 0.0308801i | ||||
\(559\) | 16.7261 | + | 28.9704i | 0.707438 | + | 1.22532i | ||||
\(560\) | 2.06659 | − | 8.82156i | 0.0873295 | − | 0.372779i | ||||
\(561\) | −0.298543 | − | 0.0526413i | −0.0126045 | − | 0.00222252i | ||||
\(562\) | 6.73728 | − | 25.1439i | 0.284195 | − | 1.06063i | ||||
\(563\) | −18.6552 | + | 4.99864i | −0.786222 | + | 0.210668i | −0.629526 | − | 0.776979i | \(-0.716751\pi\) |
−0.156696 | + | 0.987647i | \(0.550084\pi\) | |||||||
\(564\) | 4.16973 | + | 3.49882i | 0.175577 | + | 0.147327i | ||||
\(565\) | −28.8064 | − | 12.3373i | −1.21190 | − | 0.519036i | ||||
\(566\) | 0.908821 | + | 2.49696i | 0.0382006 | + | 0.104955i | ||||
\(567\) | −4.03651 | − | 0.353149i | −0.169518 | − | 0.0148309i | ||||
\(568\) | −7.61409 | − | 5.33144i | −0.319480 | − | 0.223702i | ||||
\(569\) | 22.7134 | 0.952197 | 0.476099 | − | 0.879392i | \(-0.342051\pi\) | ||||
0.476099 | + | 0.879392i | \(0.342051\pi\) | |||||||
\(570\) | −1.76049 | − | 9.58648i | −0.0737388 | − | 0.401534i | ||||
\(571\) | 0.698999 | 0.0292522 | 0.0146261 | − | 0.999893i | \(-0.495344\pi\) | ||||
0.0146261 | + | 0.999893i | \(0.495344\pi\) | |||||||
\(572\) | 1.00414 | + | 0.703107i | 0.0419853 | + | 0.0293984i | ||||
\(573\) | −22.7762 | − | 1.99266i | −0.951491 | − | 0.0832447i | ||||
\(574\) | 11.0929 | + | 30.4775i | 0.463009 | + | 1.27211i | ||||
\(575\) | 12.3196 | + | 36.5425i | 0.513764 | + | 1.52393i | ||||
\(576\) | −0.766044 | − | 0.642788i | −0.0319185 | − | 0.0267828i | ||||
\(577\) | −24.2415 | + | 6.49550i | −1.00919 | + | 0.270411i | −0.725290 | − | 0.688443i | \(-0.758294\pi\) |
−0.283898 | + | 0.958854i | \(0.591628\pi\) | |||||||
\(578\) | 4.05001 | − | 15.1148i | 0.168458 | − | 0.628695i | ||||
\(579\) | 15.8192 | + | 2.78935i | 0.657424 | + | 0.115922i | ||||
\(580\) | −8.24931 | + | 5.11784i | −0.342534 | + | 0.212507i | ||||
\(581\) | 14.8490 | + | 25.7193i | 0.616042 | + | 1.06702i | ||||
\(582\) | −1.54800 | − | 5.77723i | −0.0641668 | − | 0.239474i | ||||
\(583\) | −0.191213 | − | 2.18558i | −0.00791925 | − | 0.0905175i | ||||
\(584\) | −4.74375 | − | 1.72658i | −0.196298 | − | 0.0714466i | ||||
\(585\) | 3.04138 | + | 10.0638i | 0.125746 | + | 0.416088i | ||||
\(586\) | 4.98894 | − | 4.18622i | 0.206091 | − | 0.172931i | ||||
\(587\) | 10.8325 | − | 15.4704i | 0.447105 | − | 0.638533i | −0.530821 | − | 0.847484i | \(-0.678116\pi\) |
0.977926 | + | 0.208951i | \(0.0670051\pi\) | |||||||
\(588\) | −6.65963 | − | 6.65963i | −0.274639 | − | 0.274639i | ||||
\(589\) | −0.0809575 | + | 3.29077i | −0.00333580 | + | 0.135594i | ||||
\(590\) | 1.90168 | − | 34.1777i | 0.0782909 | − | 1.40707i | ||||
\(591\) | −10.6289 | + | 1.87416i | −0.437214 | + | 0.0770926i | ||||
\(592\) | 0.923781 | − | 10.5589i | 0.0379671 | − | 0.433966i | ||||
\(593\) | −3.88179 | + | 8.32452i | −0.159406 | + | 0.341847i | −0.969747 | − | 0.244111i | \(-0.921504\pi\) |
0.810341 | + | 0.585958i | \(0.199282\pi\) | |||||||
\(594\) | 0.0891715 | − | 0.244997i | 0.00365875 | − | 0.0100523i | ||||
\(595\) | −0.333718 | − | 10.5296i | −0.0136811 | − | 0.431670i | ||||
\(596\) | 5.31630 | − | 9.20809i | 0.217764 | − | 0.377178i | ||||
\(597\) | −19.7944 | − | 5.30390i | −0.810131 | − | 0.217074i | ||||
\(598\) | 20.7994 | + | 29.7047i | 0.850552 | + | 1.21471i | ||||
\(599\) | −2.04372 | + | 11.5905i | −0.0835043 | + | 0.473577i | 0.914165 | + | 0.405342i | \(0.132848\pi\) |
−0.997669 | + | 0.0682343i | \(0.978263\pi\) | |||||||
\(600\) | 2.00419 | + | 4.58074i | 0.0818207 | + | 0.187008i | ||||
\(601\) | 11.8031 | + | 6.81451i | 0.481458 | + | 0.277970i | 0.721024 | − | 0.692910i | \(-0.243672\pi\) |
−0.239566 | + | 0.970880i | \(0.577005\pi\) | |||||||
\(602\) | 28.7193 | − | 2.51262i | 1.17051 | − | 0.102407i | ||||
\(603\) | 2.84487 | + | 6.10085i | 0.115852 | + | 0.248446i | ||||
\(604\) | −12.6335 | + | 4.59822i | −0.514050 | + | 0.187099i | ||||
\(605\) | 3.48007 | − | 24.1958i | 0.141485 | − | 0.983698i | ||||
\(606\) | 0.719492 | + | 4.08044i | 0.0292274 | + | 0.165757i | ||||
\(607\) | −19.1279 | + | 19.1279i | −0.776379 | + | 0.776379i | −0.979213 | − | 0.202834i | \(-0.934985\pi\) |
0.202834 | + | 0.979213i | \(0.434985\pi\) | |||||||
\(608\) | −2.41159 | − | 3.63101i | −0.0978029 | − | 0.147257i | ||||
\(609\) | 17.5915i | 0.712843i | ||||||||
\(610\) | 28.1695 | − | 3.36663i | 1.14055 | − | 0.136311i | ||||
\(611\) | −16.4504 | − | 19.6049i | −0.665514 | − | 0.793128i | ||||
\(612\) | −1.05380 | − | 0.491394i | −0.0425973 | − | 0.0198634i | ||||
\(613\) | 3.32904 | − | 1.55236i | 0.134459 | − | 0.0626991i | −0.354225 | − | 0.935160i | \(-0.615255\pi\) |
0.488683 | + | 0.872461i | \(0.337477\pi\) | |||||||
\(614\) | 13.0462 | − | 15.5478i | 0.526501 | − | 0.627459i | ||||
\(615\) | −14.9795 | − | 9.79657i | −0.604030 | − | 0.395036i | ||||
\(616\) | 0.914886 | − | 0.528210i | 0.0368618 | − | 0.0212822i | ||||
\(617\) | −3.77417 | + | 2.64271i | −0.151943 | + | 0.106391i | −0.647076 | − | 0.762426i | \(-0.724008\pi\) |
0.495133 | + | 0.868817i | \(0.335119\pi\) | |||||||
\(618\) | 8.36248 | − | 5.85547i | 0.336388 | − | 0.235542i | ||||
\(619\) | −12.9872 | + | 7.49815i | −0.521999 | + | 0.301376i | −0.737752 | − | 0.675072i | \(-0.764113\pi\) |
0.215753 | + | 0.976448i | \(0.430779\pi\) | |||||||
\(620\) | −0.345762 | − | 1.65286i | −0.0138861 | − | 0.0663806i | ||||
\(621\) | 4.95760 | − | 5.90824i | 0.198942 | − | 0.237090i | ||||
\(622\) | 3.60394 | − | 1.68055i | 0.144505 | − | 0.0673838i | ||||
\(623\) | −11.4093 | − | 5.32025i | −0.457104 | − | 0.213151i | ||||
\(624\) | 3.02220 | + | 3.60172i | 0.120985 | + | 0.144184i | ||||
\(625\) | 1.19459 | − | 24.9714i | 0.0477835 | − | 0.998858i | ||||
\(626\) | 2.29506i | 0.0917290i | ||||||||
\(627\) | 0.674540 | − | 0.914614i | 0.0269385 | − | 0.0365262i | ||||
\(628\) | 12.0352 | − | 12.0352i | 0.480258 | − | 0.480258i | ||||
\(629\) | −2.14005 | − | 12.1369i | −0.0853296 | − | 0.483928i | ||||
\(630\) | 8.96811 | + | 1.28988i | 0.357298 | + | 0.0513901i | ||||
\(631\) | 21.9430 | − | 7.98660i | 0.873537 | − | 0.317941i | 0.133938 | − | 0.990990i | \(-0.457238\pi\) |
0.739599 | + | 0.673048i | \(0.235015\pi\) | |||||||
\(632\) | 4.83004 | + | 10.3581i | 0.192129 | + | 0.412021i | ||||
\(633\) | −0.200263 | + | 0.0175207i | −0.00795974 | + | 0.000696387i | ||||
\(634\) | −1.15185 | − | 0.665019i | −0.0457457 | − | 0.0264113i | ||||
\(635\) | 11.3411 | − | 5.73263i | 0.450060 | − | 0.227492i | ||||
\(636\) | 1.46123 | − | 8.28704i | 0.0579415 | − | 0.328603i | ||||
\(637\) | 25.3988 | + | 36.2732i | 1.00634 | + | 1.43720i | ||||
\(638\) | −1.09335 | − | 0.292962i | −0.0432861 | − | 0.0115985i | ||||
\(639\) | 4.64754 | − | 8.04978i | 0.183854 | − | 0.318444i | ||||
\(640\) | 1.63043 | + | 1.53026i | 0.0644485 | + | 0.0604888i | ||||
\(641\) | −16.3026 | + | 44.7910i | −0.643914 | + | 1.76914i | −0.00484511 | + | 0.999988i | \(0.501542\pi\) |
−0.639068 | + | 0.769150i | \(0.720680\pi\) | |||||||
\(642\) | 3.73371 | − | 8.00697i | 0.147358 | − | 0.316010i | ||||
\(643\) | −2.20949 | + | 25.2546i | −0.0871338 | + | 0.995944i | 0.819235 | + | 0.573457i | \(0.194398\pi\) |
−0.906369 | + | 0.422486i | \(0.861157\pi\) | |||||||
\(644\) | 30.7764 | − | 5.42671i | 1.21276 | − | 0.213842i | ||||
\(645\) | −11.8572 | + | 10.6073i | −0.466878 | + | 0.417661i | ||||
\(646\) | −3.80121 | − | 3.35231i | −0.149557 | − | 0.131895i | ||||
\(647\) | −4.81622 | − | 4.81622i | −0.189345 | − | 0.189345i | 0.606068 | − | 0.795413i | \(-0.292746\pi\) |
−0.795413 | + | 0.606068i | \(0.792746\pi\) | |||||||
\(648\) | 0.573576 | − | 0.819152i | 0.0225322 | − | 0.0321793i | ||||
\(649\) | 3.05744 | − | 2.56549i | 0.120015 | − | 0.100704i | ||||
\(650\) | −5.54005 | − | 22.8465i | −0.217299 | − | 0.896112i | ||||
\(651\) | −2.87541 | − | 1.04656i | −0.112696 | − | 0.0410181i | ||||
\(652\) | −0.457310 | − | 5.22707i | −0.0179096 | − | 0.204708i | ||||
\(653\) | 5.59949 | + | 20.8976i | 0.219125 | + | 0.817785i | 0.984674 | + | 0.174407i | \(0.0558010\pi\) |
−0.765549 | + | 0.643378i | \(0.777532\pi\) | |||||||
\(654\) | −4.82465 | − | 8.35655i | −0.188659 | − | 0.326767i | ||||
\(655\) | −5.72950 | − | 9.23523i | −0.223870 | − | 0.360850i | ||||
\(656\) | −7.88285 | − | 1.38996i | −0.307774 | − | 0.0542688i | ||||
\(657\) | 1.30657 | − | 4.87618i | 0.0509741 | − | 0.190238i | ||||
\(658\) | −21.3039 | + | 5.70837i | −0.830514 | + | 0.222536i | ||||
\(659\) | 21.4833 | + | 18.0266i | 0.836870 | + | 0.702217i | 0.956857 | − | 0.290558i | \(-0.0938409\pi\) |
−0.119987 | + | 0.992775i | \(0.538285\pi\) | |||||||
\(660\) | −0.229520 | + | 0.535906i | −0.00893406 | + | 0.0208601i | ||||
\(661\) | −10.9610 | − | 30.1152i | −0.426335 | − | 1.17135i | −0.948021 | − | 0.318208i | \(-0.896919\pi\) |
0.521686 | − | 0.853137i | \(-0.325303\pi\) | |||||||
\(662\) | 11.1995 | + | 0.979827i | 0.435280 | + | 0.0380821i | ||||
\(663\) | 4.47819 | + | 3.13566i | 0.173918 | + | 0.121779i | ||||
\(664\) | −7.32937 | −0.284435 | ||||||||
\(665\) | 35.9105 | + | 16.4365i | 1.39255 | + | 0.637382i | ||||
\(666\) | 10.5992 | 0.410710 | ||||||||
\(667\) | −27.4289 | − | 19.2059i | −1.06205 | − | 0.743657i | ||||
\(668\) | −11.7646 | − | 1.02927i | −0.455185 | − | 0.0398235i | ||||
\(669\) | −1.03443 | − | 2.84208i | −0.0399935 | − | 0.109881i | ||||
\(670\) | −5.59363 | − | 13.9743i | −0.216101 | − | 0.539873i | ||||
\(671\) | 2.53397 | + | 2.12625i | 0.0978229 | + | 0.0820831i | ||||
\(672\) | 3.91386 | − | 1.04872i | 0.150981 | − | 0.0404551i | ||||
\(673\) | 1.90705 | − | 7.11722i | 0.0735115 | − | 0.274349i | −0.919380 | − | 0.393370i | \(-0.871309\pi\) |
0.992892 | + | 0.119022i | \(0.0379758\pi\) | |||||||
\(674\) | −4.91242 | − | 0.866193i | −0.189220 | − | 0.0333645i | ||||
\(675\) | −4.38864 | + | 2.39580i | −0.168919 | + | 0.0922145i | ||||
\(676\) | −4.55305 | − | 7.88612i | −0.175117 | − | 0.303312i | ||||
\(677\) | −6.93093 | − | 25.8666i | −0.266377 | − | 0.994133i | −0.961402 | − | 0.275147i | \(-0.911273\pi\) |
0.695025 | − | 0.718986i | \(-0.255393\pi\) | |||||||
\(678\) | −1.22144 | − | 13.9611i | −0.0469090 | − | 0.536173i | ||||
\(679\) | 22.7732 | + | 8.28876i | 0.873954 | + | 0.318093i | ||||
\(680\) | 2.29168 | + | 1.22800i | 0.0878820 | + | 0.0470917i | ||||
\(681\) | −8.86667 | + | 7.44002i | −0.339771 | + | 0.285102i | ||||
\(682\) | 0.112932 | − | 0.161284i | 0.00432440 | − | 0.00617588i | ||||
\(683\) | 26.2342 | + | 26.2342i | 1.00382 | + | 1.00382i | 0.999993 | + | 0.00382932i | \(0.00121891\pi\) |
0.00382932 | + | 0.999993i | \(0.498781\pi\) | |||||||
\(684\) | 3.40701 | − | 2.71888i | 0.130270 | − | 0.103959i | ||||
\(685\) | −9.84029 | − | 0.547523i | −0.375978 | − | 0.0209198i | ||||
\(686\) | 9.64929 | − | 1.70143i | 0.368412 | − | 0.0649609i | ||||
\(687\) | −1.71631 | + | 19.6175i | −0.0654812 | + | 0.748453i | ||||
\(688\) | −3.00688 | + | 6.44828i | −0.114636 | + | 0.245838i | ||||
\(689\) | −13.5318 | + | 37.1784i | −0.515521 | + | 1.41638i | ||||
\(690\) | −11.8024 | + | 12.5750i | −0.449308 | + | 0.478721i | ||||
\(691\) | 14.5521 | − | 25.2050i | 0.553588 | − | 0.958843i | −0.444424 | − | 0.895817i | \(-0.646592\pi\) |
0.998012 | − | 0.0630260i | \(-0.0200751\pi\) | |||||||
\(692\) | −0.845872 | − | 0.226651i | −0.0321552 | − | 0.00861596i | ||||
\(693\) | 0.605937 | + | 0.865368i | 0.0230177 | + | 0.0328726i | ||||
\(694\) | −1.35413 | + | 7.67963i | −0.0514019 | + | 0.291515i | ||||
\(695\) | −5.87441 | + | 17.8832i | −0.222829 | + | 0.678348i | ||||
\(696\) | −3.75985 | − | 2.17075i | −0.142517 | − | 0.0822822i | ||||
\(697\) | −9.27167 | + | 0.811166i | −0.351190 | + | 0.0307251i | ||||
\(698\) | 12.6633 | + | 27.1566i | 0.479314 | + | 1.02789i | ||||
\(699\) | −10.4520 | + | 3.80421i | −0.395331 | + | 0.143889i | ||||
\(700\) | −19.8621 | − | 3.99387i | −0.750716 | − | 0.150954i | ||||
\(701\) | −3.50278 | − | 19.8652i | −0.132298 | − | 0.750299i | −0.976703 | − | 0.214594i | \(-0.931157\pi\) |
0.844405 | − | 0.535705i | \(-0.179954\pi\) | |||||||
\(702\) | −3.32461 | + | 3.32461i | −0.125479 | + | 0.125479i | ||||
\(703\) | 44.3190 | + | 13.0516i | 1.67152 | + | 0.492249i | ||||
\(704\) | 0.260720i | 0.00982625i | ||||||||
\(705\) | 7.52432 | − | 9.56695i | 0.283382 | − | 0.360312i | ||||
\(706\) | −17.6122 | − | 20.9894i | −0.662843 | − | 0.789945i | ||||
\(707\) | −15.2158 | − | 7.09522i | −0.572247 | − | 0.266843i | ||||
\(708\) | 13.8741 | − | 6.46960i | 0.521420 | − | 0.243142i | ||||
\(709\) | −19.1536 | + | 22.8264i | −0.719328 | + | 0.857262i | −0.994565 | − | 0.104115i | \(-0.966799\pi\) |
0.275237 | + | 0.961376i | \(0.411244\pi\) | |||||||
\(710\) | −11.3762 | + | 17.3947i | −0.426939 | + | 0.652812i | ||||
\(711\) | −9.89767 | + | 5.71443i | −0.371192 | + | 0.214308i | ||||
\(712\) | 2.54499 | − | 1.78202i | 0.0953776 | − | 0.0667841i | ||||
\(713\) | 4.77113 | − | 3.34078i | 0.178680 | − | 0.125113i | ||||
\(714\) | 4.08013 | − | 2.35567i | 0.152695 | − | 0.0881586i | ||||
\(715\) | 1.50028 | − | 2.29401i | 0.0561073 | − | 0.0857909i | ||||
\(716\) | −14.6578 | + | 17.4685i | −0.547787 | + | 0.652827i | ||||
\(717\) | 23.6656 | − | 11.0354i | 0.883807 | − | 0.412126i | ||||
\(718\) | 14.8321 | + | 6.91631i | 0.553528 | + | 0.258114i | ||||
\(719\) | −0.423096 | − | 0.504226i | −0.0157788 | − | 0.0188044i | 0.758097 | − | 0.652141i | \(-0.226129\pi\) |
−0.773876 | + | 0.633337i | \(0.781685\pi\) | |||||||
\(720\) | −1.38233 | + | 1.75760i | −0.0515166 | + | 0.0655018i | ||||
\(721\) | 41.3650i | 1.54051i | ||||||||
\(722\) | 17.5939 | − | 7.17328i | 0.654776 | − | 0.266962i | ||||
\(723\) | −2.56591 | + | 2.56591i | −0.0954274 | + | 0.0954274i | ||||
\(724\) | 0.698146 | + | 3.95939i | 0.0259464 | + | 0.147149i | ||||
\(725\) | 12.0224 | + | 18.0742i | 0.446501 | + | 0.671261i | ||||
\(726\) | 10.2727 | − | 3.73897i | 0.381257 | − | 0.138766i | ||||
\(727\) | 22.3862 | + | 48.0073i | 0.830257 | + | 1.78049i | 0.584997 | + | 0.811036i | \(0.301096\pi\) |
0.245261 | + | 0.969457i | \(0.421126\pi\) | |||||||
\(728\) | −18.9785 | + | 1.66041i | −0.703391 | + | 0.0615387i | ||||
\(729\) | 0.866025 | + | 0.500000i | 0.0320750 | + | 0.0185185i | ||||
\(730\) | −3.52281 | + | 10.7243i | −0.130385 | + | 0.396925i | ||||
\(731\) | −1.43655 | + | 8.14707i | −0.0531327 | + | 0.301330i | ||||
\(732\) | 7.27721 | + | 10.3929i | 0.268973 | + | 0.384134i | ||||
\(733\) | −14.1769 | − | 3.79869i | −0.523636 | − | 0.140308i | −0.0126881 | − | 0.999920i | \(-0.504039\pi\) |
−0.510948 | + | 0.859612i | \(0.670706\pi\) | |||||||
\(734\) | 15.3495 | − | 26.5862i | 0.566562 | − | 0.981314i | ||||
\(735\) | −14.4122 | + | 15.3556i | −0.531602 | + | 0.566401i | ||||
\(736\) | −2.63788 | + | 7.24753i | −0.0972337 | + | 0.267147i | ||||
\(737\) | 0.741715 | − | 1.59061i | 0.0273214 | − | 0.0585910i | ||||
\(738\) | 0.697635 | − | 7.97400i | 0.0256803 | − | 0.293527i | ||||
\(739\) | 12.4808 | − | 2.20070i | 0.459114 | − | 0.0809541i | 0.0606921 | − | 0.998157i | \(-0.480669\pi\) |
0.398422 | + | 0.917202i | \(0.369558\pi\) | |||||||
\(740\) | −23.6639 | − | 1.31668i | −0.869903 | − | 0.0484022i | ||||
\(741\) | −17.9952 | + | 9.80754i | −0.661071 | + | 0.360289i | ||||
\(742\) | 24.1099 | + | 24.1099i | 0.885102 | + | 0.885102i | ||||
\(743\) | −15.4467 | + | 22.0601i | −0.566684 | + | 0.809308i | −0.995567 | − | 0.0940517i | \(-0.970018\pi\) |
0.428884 | + | 0.903360i | \(0.358907\pi\) | |||||||
\(744\) | 0.578504 | − | 0.485422i | 0.0212090 | − | 0.0177964i | ||||
\(745\) | −20.9562 | − | 11.2294i | −0.767774 | − | 0.411413i | ||||
\(746\) | 1.31710 | + | 0.479384i | 0.0482223 | + | 0.0175515i | ||||
\(747\) | −0.638796 | − | 7.30148i | −0.0233723 | − | 0.267147i | ||||
\(748\) | 0.0784607 | + | 0.292819i | 0.00286881 | + | 0.0107065i | ||||
\(749\) | 17.8988 | + | 31.0017i | 0.654009 | + | 1.13278i | ||||
\(750\) | 10.0958 | − | 4.80373i | 0.368645 | − | 0.175407i | ||||
\(751\) | 19.7795 | + | 3.48766i | 0.721764 | + | 0.127266i | 0.522451 | − | 0.852669i | \(-0.325018\pi\) |
0.199313 | + | 0.979936i | \(0.436129\pi\) | |||||||
\(752\) | 1.40880 | − | 5.25772i | 0.0513738 | − | 0.191729i | ||||
\(753\) | −10.8913 | + | 2.91832i | −0.396902 | + | 0.106350i | ||||
\(754\) | 15.6369 | + | 13.1209i | 0.569462 | + | 0.477835i | ||||
\(755\) | 11.1716 | + | 27.9095i | 0.406577 | + | 1.01573i | ||||
\(756\) | 1.38584 | + | 3.80757i | 0.0504026 | + | 0.138480i | ||||
\(757\) | 54.6328 | + | 4.77975i | 1.98566 | + | 0.173723i | 0.999987 | + | 0.00507237i | \(0.00161459\pi\) |
0.985676 | + | 0.168651i | \(0.0539410\pi\) | |||||||
\(758\) | 11.1866 | + | 7.83293i | 0.406315 | + | 0.284505i | ||||
\(759\) | −2.01084 | −0.0729890 | ||||||||
\(760\) | −7.94429 | + | 5.64697i | −0.288170 | + | 0.204837i | ||||
\(761\) | 2.85138 | 0.103362 | 0.0516812 | − | 0.998664i | \(-0.483542\pi\) | ||||
0.0516812 | + | 0.998664i | \(0.483542\pi\) | |||||||
\(762\) | 4.65527 | + | 3.25966i | 0.168643 | + | 0.118085i | ||||
\(763\) | 38.9495 | + | 3.40764i | 1.41007 | + | 0.123365i | ||||
\(764\) | 7.81969 | + | 21.4844i | 0.282906 | + | 0.777279i | ||||
\(765\) | −1.02360 | + | 2.38999i | −0.0370082 | + | 0.0864102i | ||||
\(766\) | −23.3622 | − | 19.6032i | −0.844109 | − | 0.708292i | ||||
\(767\) | −69.5231 | + | 18.6286i | −2.51033 | + | 0.672641i | ||||
\(768\) | −0.258819 | + | 0.965926i | −0.00933933 | + | 0.0348548i | ||||
\(769\) | −44.1408 | − | 7.78322i | −1.59176 | − | 0.280670i | −0.693607 | − | 0.720354i | \(-0.743979\pi\) |
−0.898153 | + | 0.439684i | \(0.855091\pi\) | |||||||
\(770\) | −1.24532 | − | 2.00731i | −0.0448784 | − | 0.0723383i | ||||
\(771\) | −6.92046 | − | 11.9866i | −0.249234 | − | 0.431686i | ||||
\(772\) | −4.15747 | − | 15.5159i | −0.149631 | − | 0.558429i | ||||
\(773\) | −1.51974 | − | 17.3708i | −0.0546614 | − | 0.624783i | −0.973278 | − | 0.229632i | \(-0.926248\pi\) |
0.918616 | − | 0.395151i | \(-0.129308\pi\) | |||||||
\(774\) | −6.68581 | − | 2.43344i | −0.240317 | − | 0.0874681i | ||||
\(775\) | −3.66957 | + | 0.889836i | −0.131815 | + | 0.0319638i | ||||
\(776\) | −4.58173 | + | 3.84453i | −0.164475 | + | 0.138011i | ||||
\(777\) | −24.6335 | + | 35.1803i | −0.883722 | + | 1.26209i | ||||
\(778\) | −13.9578 | − | 13.9578i | −0.500413 | − | 0.500413i | ||||
\(779\) | 12.7360 | − | 32.4831i | 0.456316 | − | 1.16383i | ||||
\(780\) | 7.83558 | − | 7.00958i | 0.280559 | − | 0.250983i | ||||
\(781\) | −2.38660 | + | 0.420821i | −0.0853992 | + | 0.0150582i | ||||
\(782\) | −0.781595 | + | 8.93368i | −0.0279498 | + | 0.319468i | ||||
\(783\) | 1.83480 | − | 3.93474i | 0.0655704 | − | 0.140616i | ||||
\(784\) | −3.22119 | + | 8.85016i | −0.115043 | + | 0.316077i | ||||
\(785\) | −27.7506 | − | 26.0456i | −0.990461 | − | 0.929608i | ||||
\(786\) | 2.43019 | − | 4.20921i | 0.0866820 | − | 0.150138i | ||||
\(787\) | 34.7228 | + | 9.30394i | 1.23773 | + | 0.331650i | 0.817586 | − | 0.575806i | \(-0.195312\pi\) |
0.420147 | + | 0.907456i | \(0.361978\pi\) | |||||||
\(788\) | 6.19052 | + | 8.84098i | 0.220528 | + | 0.314947i | ||||
\(789\) | 1.06611 | − | 6.04623i | 0.0379546 | − | 0.215251i | ||||
\(790\) | 22.8076 | − | 11.5286i | 0.811457 | − | 0.410168i | ||||
\(791\) | 49.1777 | + | 28.3927i | 1.74856 | + | 1.00953i | ||||
\(792\) | −0.259728 | + | 0.0227232i | −0.00922903 | + | 0.000807435i | ||||
\(793\) | −25.2103 | − | 54.0636i | −0.895243 | − | 1.91986i | ||||
\(794\) | −1.50413 | + | 0.547457i | −0.0533794 | + | 0.0194285i | ||||
\(795\) | −18.6246 | − | 2.67877i | −0.660546 | − | 0.0950063i | ||||
\(796\) | 3.55852 | + | 20.1814i | 0.126128 | + | 0.715309i | ||||
\(797\) | 24.3428 | − | 24.3428i | 0.862267 | − | 0.862267i | −0.129334 | − | 0.991601i | \(-0.541284\pi\) |
0.991601 | + | 0.129334i | \(0.0412839\pi\) | |||||||
\(798\) | 1.10615 | + | 17.6273i | 0.0391573 | + | 0.623999i | ||||
\(799\) | − | 6.32901i | − | 0.223904i | ||||||
\(800\) | 3.30456 | − | 3.75232i | 0.116834 | − | 0.132665i | ||||
\(801\) | 1.99705 | + | 2.37999i | 0.0705623 | + | 0.0840929i | ||||
\(802\) | 6.20101 | + | 2.89158i | 0.218965 | + | 0.102105i | ||||
\(803\) | −1.19285 | + | 0.556236i | −0.0420948 | + | 0.0196291i | ||||
\(804\) | 4.32695 | − | 5.15666i | 0.152600 | − | 0.181861i | ||||
\(805\) | −14.3084 | − | 68.3992i | −0.504304 | − | 2.41075i | ||||
\(806\) | −3.07496 | + | 1.77533i | −0.108311 | + | 0.0625332i | ||||
\(807\) | −4.55084 | + | 3.18654i | −0.160197 | + | 0.112171i | ||||
\(808\) | 3.39407 | − | 2.37655i | 0.119403 | − | 0.0836068i | ||||
\(809\) | −44.4567 | + | 25.6671i | −1.56301 | + | 0.902406i | −0.566064 | + | 0.824361i | \(0.691534\pi\) |
−0.996950 | + | 0.0780451i | \(0.975132\pi\) | |||||||
\(810\) | −1.87139 | − | 1.22389i | −0.0657539 | − | 0.0430031i | ||||
\(811\) | 28.2668 | − | 33.6871i | 0.992582 | − | 1.18291i | 0.00946087 | − | 0.999955i | \(-0.496988\pi\) |
0.983121 | − | 0.182958i | \(-0.0585671\pi\) | |||||||
\(812\) | 15.9433 | − | 7.43448i | 0.559500 | − | 0.260899i | ||||
\(813\) | 24.7639 | + | 11.5476i | 0.868508 | + | 0.404992i | ||||
\(814\) | −1.77629 | − | 2.11690i | −0.0622590 | − | 0.0741974i | ||||
\(815\) | −11.6498 | + | 1.39231i | −0.408076 | + | 0.0487706i | ||||
\(816\) | 1.16274i | 0.0407040i | ||||||||
\(817\) | −24.9593 | − | 18.4078i | −0.873214 | − | 0.644007i | ||||
\(818\) | 8.38744 | − | 8.38744i | 0.293260 | − | 0.293260i | ||||
\(819\) | −3.30817 | − | 18.7616i | −0.115597 | − | 0.655583i | ||||
\(820\) | −2.54812 | + | 17.7162i | −0.0889842 | + | 0.618677i | ||||
\(821\) | −18.4345 | + | 6.70960i | −0.643368 | + | 0.234167i | −0.643039 | − | 0.765833i | \(-0.722327\pi\) |
−0.000328559 | 1.00000i | \(0.500105\pi\) | ||||||||
\(822\) | −1.86270 | − | 3.99457i | −0.0649690 | − | 0.139327i | ||||
\(823\) | 39.8661 | − | 3.48783i | 1.38964 | − | 0.121578i | 0.632365 | − | 0.774670i | \(-0.282084\pi\) |
0.757278 | + | 0.653092i | \(0.226529\pi\) | |||||||
\(824\) | −8.84100 | − | 5.10435i | −0.307991 | − | 0.177819i | ||||
\(825\) | 1.21398 | + | 0.475005i | 0.0422653 | + | 0.0165376i | ||||
\(826\) | −10.7711 | + | 61.0861i | −0.374776 | + | 2.12546i | ||||
\(827\) | −18.2931 | − | 26.1253i | −0.636114 | − | 0.908464i | 0.363620 | − | 0.931547i | \(-0.381541\pi\) |
−0.999734 | + | 0.0230831i | \(0.992652\pi\) | |||||||
\(828\) | −7.44986 | − | 1.99618i | −0.258900 | − | 0.0693722i | ||||
\(829\) | 20.2762 | − | 35.1195i | 0.704223 | − | 1.21975i | −0.262748 | − | 0.964865i | \(-0.584629\pi\) |
0.966971 | − | 0.254886i | \(-0.0820379\pi\) | |||||||
\(830\) | 0.519162 | + | 16.3807i | 0.0180204 | + | 0.568584i | ||||
\(831\) | −2.71299 | + | 7.45387i | −0.0941125 | + | 0.258572i | ||||
\(832\) | 1.98703 | − | 4.26120i | 0.0688879 | − | 0.147730i | ||||
\(833\) | −0.954428 | + | 10.9092i | −0.0330690 | + | 0.377980i | ||||
\(834\) | −8.29015 | + | 1.46178i | −0.287064 | + | 0.0506172i | ||||
\(835\) | −1.46703 | + | 26.3661i | −0.0507688 | + | 0.912436i | ||||
\(836\) | −1.11399 | − | 0.224808i | −0.0385283 | − | 0.00777516i | ||||
\(837\) | 0.533995 | + | 0.533995i | 0.0184576 | + | 0.0184576i | ||||
\(838\) | −4.04660 | + | 5.77914i | −0.139787 | + | 0.199637i | ||||
\(839\) | 14.0152 | − | 11.7601i | 0.483858 | − | 0.406005i | −0.367961 | − | 0.929841i | \(-0.619944\pi\) |
0.851819 | + | 0.523836i | \(0.175500\pi\) | |||||||
\(840\) | −2.62106 | − | 8.67299i | −0.0904350 | − | 0.299247i | ||||
\(841\) | 9.53913 | + | 3.47196i | 0.328936 | + | 0.119723i | ||||
\(842\) | −1.74204 | − | 19.9116i | −0.0600347 | − | 0.686200i | ||||
\(843\) | −6.73728 | − | 25.1439i | −0.232044 | − | 0.866001i | ||||
\(844\) | 0.100514 | + | 0.174095i | 0.00345983 | + | 0.00599261i | ||||
\(845\) | −17.3025 | + | 10.7344i | −0.595226 | + | 0.369275i | ||||
\(846\) | 5.36050 | + | 0.945201i | 0.184298 | + | 0.0324967i | ||||
\(847\) | −11.4646 | + | 42.7865i | −0.393928 | + | 1.47016i | ||||
\(848\) | −8.12816 | + | 2.17793i | −0.279122 | + | 0.0747905i | ||||
\(849\) | 2.03554 | + | 1.70802i | 0.0698597 | + | 0.0586192i | ||||
\(850\) | 2.58219 | − | 5.20877i | 0.0885684 | − | 0.178659i | ||||
\(851\) | −27.9595 | − | 76.8180i | −0.958438 | − | 2.63329i | ||||
\(852\) | −9.25971 | − | 0.810120i | −0.317233 | − | 0.0277543i | ||||
\(853\) | 8.96432 | + | 6.27688i | 0.306932 | + | 0.214916i | 0.716887 | − | 0.697190i | \(-0.245566\pi\) |
−0.409954 | + | 0.912106i | \(0.634455\pi\) | |||||||
\(854\) | −51.4085 | −1.75916 | ||||||||
\(855\) | −6.31787 | − | 7.42189i | −0.216067 | − | 0.253823i | ||||
\(856\) | −8.83472 | −0.301964 | ||||||||
\(857\) | 14.9859 | + | 10.4932i | 0.511908 | + | 0.358442i | 0.800812 | − | 0.598916i | \(-0.204402\pi\) |
−0.288903 | + | 0.957358i | \(0.593291\pi\) | |||||||
\(858\) | 1.22117 | + | 0.106838i | 0.0416899 | + | 0.00364739i | ||||
\(859\) | −4.03068 | − | 11.0742i | −0.137525 | − | 0.377846i | 0.851743 | − | 0.523960i | \(-0.175546\pi\) |
−0.989268 | + | 0.146113i | \(0.953324\pi\) | |||||||
\(860\) | 14.6245 | + | 6.26347i | 0.498693 | + | 0.213583i | ||||
\(861\) | 24.8455 | + | 20.8479i | 0.846733 | + | 0.710493i | ||||
\(862\) | −27.5163 | + | 7.37298i | −0.937210 | + | 0.251125i | ||||
\(863\) | −10.1726 | + | 37.9645i | −0.346278 | + | 1.29233i | 0.544834 | + | 0.838544i | \(0.316593\pi\) |
−0.891112 | + | 0.453784i | \(0.850074\pi\) | |||||||
\(864\) | −0.984808 | − | 0.173648i | −0.0335038 | − | 0.00590763i | ||||
\(865\) | −0.446636 | + | 1.90653i | −0.0151861 | + | 0.0648240i | ||||
\(866\) | 5.57647 | + | 9.65874i | 0.189496 | + | 0.328217i | ||||
\(867\) | −4.05001 | − | 15.1148i | −0.137546 | − | 0.513327i | ||||
\(868\) | 0.266692 | + | 3.04831i | 0.00905212 | + | 0.103466i | ||||
\(869\) | 2.80003 | + | 1.01913i | 0.0949845 | + | 0.0345715i | ||||
\(870\) | −4.58519 | + | 8.55683i | −0.155453 | + | 0.290104i | ||||
\(871\) | −24.2451 | + | 20.3441i | −0.821515 | + | 0.689333i | ||||
\(872\) | −5.53462 | + | 7.90425i | −0.187426 | + | 0.267672i | ||||
\(873\) | −4.22923 | − | 4.22923i | −0.143138 | − | 0.143138i | ||||
\(874\) | −28.6924 | − | 17.5203i | −0.970536 | − | 0.592633i | ||||
\(875\) | −7.51919 | + | 44.6736i | −0.254195 | + | 1.51024i | ||||
\(876\) | −4.97150 | + | 0.876610i | −0.167971 | + | 0.0296179i | ||||
\(877\) | 0.346042 | − | 3.95528i | 0.0116850 | − | 0.133560i | −0.988111 | − | 0.153740i | \(-0.950868\pi\) |
0.999796 | + | 0.0201796i | \(0.00642379\pi\) | |||||||
\(878\) | −4.44899 | + | 9.54090i | −0.150146 | + | 0.321990i | ||||
\(879\) | 2.22744 | − | 6.11985i | 0.0751297 | − | 0.206417i | ||||
\(880\) | 0.582695 | − | 0.0184676i | 0.0196426 | − | 0.000622543i | ||||
\(881\) | −20.7316 | + | 35.9082i | −0.698465 | + | 1.20978i | 0.270534 | + | 0.962711i | \(0.412800\pi\) |
−0.968999 | + | 0.247066i | \(0.920533\pi\) | |||||||
\(882\) | −9.09723 | − | 2.43759i | −0.306320 | − | 0.0820781i | ||||
\(883\) | 11.4710 | + | 16.3823i | 0.386030 | + | 0.551308i | 0.964394 | − | 0.264471i | \(-0.0851973\pi\) |
−0.578363 | + | 0.815779i | \(0.696308\pi\) | |||||||
\(884\) | 0.949310 | − | 5.38381i | 0.0319288 | − | 0.181077i | ||||
\(885\) | −15.4419 | − | 30.5496i | −0.519075 | − | 1.02691i | ||||
\(886\) | −3.89751 | − | 2.25023i | −0.130940 | − | 0.0755980i | ||||
\(887\) | −30.1053 | + | 2.63387i | −1.01084 | + | 0.0884368i | −0.580524 | − | 0.814243i | \(-0.697152\pi\) |
−0.430313 | + | 0.902680i | \(0.641597\pi\) | |||||||
\(888\) | −4.47941 | − | 9.60613i | −0.150319 | − | 0.322361i | ||||
\(889\) | −21.6386 | + | 7.87579i | −0.725734 | + | 0.264146i | ||||
\(890\) | −4.16299 | − | 5.56169i | −0.139544 | − | 0.186428i | ||||
\(891\) | −0.0452735 | − | 0.256759i | −0.00151672 | − | 0.00860175i | ||||
\(892\) | −2.13863 | + | 2.13863i | −0.0716067 | + | 0.0716067i | ||||
\(893\) | 21.2503 | + | 10.5530i | 0.711113 | + | 0.353143i | ||||
\(894\) | − | 10.6326i | − | 0.355607i | ||||||
\(895\) | 40.0793 | + | 31.5220i | 1.33970 | + | 1.05366i | ||||
\(896\) | −2.60453 | − | 3.10396i | −0.0870113 | − | 0.103696i | ||||
\(897\) | 32.8652 | + | 15.3253i | 1.09734 | + | 0.511696i | ||||
\(898\) | −14.9131 | + | 6.95409i | −0.497656 | + | 0.232061i | ||||
\(899\) | 2.10746 | − | 2.51158i | 0.0702879 | − | 0.0837658i | ||||
\(900\) | 4.02605 | + | 2.96495i | 0.134202 | + | 0.0988315i | ||||
\(901\) | −8.47346 | + | 4.89215i | −0.282292 | + | 0.162981i | ||||
\(902\) | −1.70951 | + | 1.19701i | −0.0569204 | + | 0.0398561i | ||||
\(903\) | 23.6154 | − | 16.5357i | 0.785870 | − | 0.550272i | ||||
\(904\) | −12.1368 | + | 7.00721i | −0.403665 | + | 0.233056i | ||||
\(905\) | 8.79956 | − | 1.84077i | 0.292507 | − | 0.0611894i | ||||
\(906\) | −8.64182 | + | 10.2989i | −0.287105 | + | 0.342159i | ||||
\(907\) | 30.3923 | − | 14.1722i | 1.00916 | − | 0.470579i | 0.153518 | − | 0.988146i | \(-0.450940\pi\) |
0.855643 | + | 0.517566i | \(0.173162\pi\) | |||||||
\(908\) | 10.4902 | + | 4.89164i | 0.348128 | + | 0.162335i | ||||
\(909\) | 2.66332 | + | 3.17402i | 0.0883367 | + | 0.105276i | ||||
\(910\) | 5.05522 | + | 42.2984i | 0.167579 | + | 1.40218i | ||||
\(911\) | 24.9135i | 0.825422i | 0.910862 | + | 0.412711i | \(0.135418\pi\) | ||||
−0.910862 | + | 0.412711i | \(0.864582\pi\) | |||||||
\(912\) | −3.90400 | − | 1.93875i | −0.129274 | − | 0.0641985i | ||||
\(913\) | −1.35122 | + | 1.35122i | −0.0447188 | + | 0.0447188i | ||||
\(914\) | −7.32317 | − | 41.5317i | −0.242229 | − | 1.37375i | ||||
\(915\) | 22.7122 | − | 17.0003i | 0.750841 | − | 0.562013i | ||||
\(916\) | 18.5048 | − | 6.73520i | 0.611416 | − | 0.222537i | ||||
\(917\) | 8.32301 | + | 17.8488i | 0.274850 | + | 0.589418i | ||||
\(918\) | −1.15831 | + | 0.101339i | −0.0382300 | + | 0.00334469i | ||||
\(919\) | 31.8281 | + | 18.3760i | 1.04991 | + | 0.606167i | 0.922625 | − | 0.385698i | \(-0.126039\pi\) |
0.127288 | + | 0.991866i | \(0.459373\pi\) | |||||||
\(920\) | 16.3847 | + | 5.38217i | 0.540187 | + | 0.177445i | ||||
\(921\) | 3.52440 | − | 19.9879i | 0.116133 | − | 0.658623i | ||||
\(922\) | −5.99852 | − | 8.56678i | −0.197551 | − | 0.282132i | ||||
\(923\) | 42.2137 | + | 11.3111i | 1.38948 | + | 0.372310i | ||||
\(924\) | 0.528210 | − | 0.914886i | 0.0173768 | − | 0.0300975i | ||||
\(925\) | −1.26653 | + | 52.9808i | −0.0416432 | + | 1.74200i | ||||
\(926\) | 8.61024 | − | 23.6564i | 0.282950 | − | 0.777399i | ||||
\(927\) | 4.31438 | − | 9.25223i | 0.141703 | − | 0.303883i | ||||
\(928\) | −0.378387 | + | 4.32498i | −0.0124212 | + | 0.141975i | ||||
\(929\) | 3.72149 | − | 0.656198i | 0.122098 | − | 0.0215292i | −0.112265 | − | 0.993678i | \(-0.535811\pi\) |
0.234363 | + | 0.972149i | \(0.424700\pi\) | |||||||
\(930\) | −1.12587 | − | 1.25854i | −0.0369187 | − | 0.0412692i | ||||
\(931\) | −35.0371 | − | 21.3945i | −1.14830 | − | 0.701178i | ||||
\(932\) | 7.86499 | + | 7.86499i | 0.257626 | + | 0.257626i | ||||
\(933\) | 2.28083 | − | 3.25737i | 0.0746712 | − | 0.106641i | ||||
\(934\) | 5.30202 | − | 4.44892i | 0.173487 | − | 0.145573i | ||||
\(935\) | 0.648878 | − | 0.196097i | 0.0212206 | − | 0.00641305i | ||||
\(936\) | 4.41817 | + | 1.60808i | 0.144412 | + | 0.0525618i | ||||
\(937\) | −2.57313 | − | 29.4110i | −0.0840603 | − | 0.960814i | −0.914735 | − | 0.404055i | \(-0.867600\pi\) |
0.830674 | − | 0.556759i | \(-0.187955\pi\) | |||||||
\(938\) | 7.05948 | + | 26.3464i | 0.230500 | + | 0.860239i | ||||
\(939\) | 1.14753 | + | 1.98758i | 0.0374482 | + | 0.0648622i | ||||
\(940\) | −11.8505 | − | 2.77618i | −0.386521 | − | 0.0905489i | ||||
\(941\) | 1.32557 | + | 0.233734i | 0.0432123 | + | 0.00761950i | 0.195213 | − | 0.980761i | \(-0.437460\pi\) |
−0.152000 | + | 0.988380i | \(0.548571\pi\) | |||||||
\(942\) | 4.40520 | − | 16.4404i | 0.143529 | − | 0.535658i | ||||
\(943\) | −59.6321 | + | 15.9784i | −1.94189 | + | 0.520327i | ||||
\(944\) | −11.7269 | − | 9.84003i | −0.381678 | − | 0.320266i | ||||
\(945\) | 8.41155 | − | 3.36698i | 0.273628 | − | 0.109528i | ||||
\(946\) | 0.634446 | + | 1.74312i | 0.0206276 | + | 0.0566739i | ||||
\(947\) | −41.9072 | − | 3.66640i | −1.36180 | − | 0.119142i | −0.617281 | − | 0.786743i | \(-0.711766\pi\) |
−0.744519 | + | 0.667601i | \(0.767321\pi\) | |||||||
\(948\) | 9.36197 | + | 6.55532i | 0.304063 | + | 0.212907i | ||||
\(949\) | 23.7352 | 0.770476 | ||||||||
\(950\) | 13.1834 | + | 17.3551i | 0.427726 | + | 0.563073i | ||||
\(951\) | −1.33004 | −0.0431294 | ||||||||
\(952\) | −3.85930 | − | 2.70231i | −0.125081 | − | 0.0875824i | ||||
\(953\) | −14.2542 | − | 1.24708i | −0.461738 | − | 0.0403968i | −0.146086 | − | 0.989272i | \(-0.546668\pi\) |
−0.315652 | + | 0.948875i | \(0.602223\pi\) | |||||||
\(954\) | −2.87806 | − | 7.90741i | −0.0931806 | − | 0.256012i | ||||
\(955\) | 47.4626 | − | 18.9984i | 1.53585 | − | 0.614773i | ||||
\(956\) | −20.0030 | − | 16.7845i | −0.646943 | − | 0.542850i | ||||
\(957\) | −1.09335 | + | 0.292962i | −0.0353429 | + | 0.00947011i | ||||
\(958\) | −0.392938 | + | 1.46646i | −0.0126953 | + | 0.0473793i | ||||
\(959\) | 17.5876 | + | 3.10118i | 0.567935 | + | 0.100142i | ||||
\(960\) | 2.17712 | + | 0.510027i | 0.0702664 | + | 0.0164611i | ||||
\(961\) | −15.2148 | − | 26.3529i | −0.490802 | − | 0.850093i | ||||
\(962\) | 12.8981 | + | 48.1363i | 0.415851 | + | 1.55198i | ||||
\(963\) | −0.769996 | − | 8.80110i | −0.0248128 | − | 0.283611i | ||||
\(964\) | 3.40991 | + | 1.24111i | 0.109826 | + | 0.0399733i | ||||
\(965\) | −34.3827 | + | 10.3908i | −1.10682 | + | 0.334491i | ||||
\(966\) | 23.9398 | − | 20.0879i | 0.770250 | − | 0.646316i | ||||
\(967\) | 5.05994 | − | 7.22635i | 0.162717 | − | 0.232384i | −0.729511 | − | 0.683969i | \(-0.760252\pi\) |
0.892228 | + | 0.451585i | \(0.149141\pi\) | |||||||
\(968\) | −7.73011 | − | 7.73011i | −0.248455 | − | 0.248455i | ||||
\(969\) | −4.96810 | − | 1.00258i | −0.159598 | − | 0.0322076i | ||||
\(970\) | 8.91686 | + | 9.96760i | 0.286303 | + | 0.320041i | ||||
\(971\) | −42.1000 | + | 7.42336i | −1.35105 | + | 0.238227i | −0.801881 | − | 0.597483i | \(-0.796167\pi\) |
−0.549171 | + | 0.835710i | \(0.685056\pi\) | |||||||
\(972\) | 0.0871557 | − | 0.996195i | 0.00279552 | − | 0.0319530i | ||||
\(973\) | 14.4152 | − | 30.9135i | 0.462131 | − | 0.991043i | ||||
\(974\) | −3.32592 | + | 9.13789i | −0.106569 | + | 0.292797i | ||||
\(975\) | −16.2211 | − | 17.0156i | −0.519489 | − | 0.544935i | ||||
\(976\) | 6.34371 | − | 10.9876i | 0.203057 | − | 0.351705i | ||||
\(977\) | 43.1312 | + | 11.5570i | 1.37989 | + | 0.369741i | 0.871081 | − | 0.491139i | \(-0.163419\pi\) |
0.508809 | + | 0.860879i | \(0.330086\pi\) | |||||||
\(978\) | −3.00958 | − | 4.29812i | −0.0962357 | − | 0.137439i | ||||
\(979\) | 0.140659 | − | 0.797715i | 0.00449547 | − | 0.0254951i | ||||
\(980\) | 20.0078 | + | 6.57231i | 0.639125 | + | 0.209945i | ||||
\(981\) | −8.35655 | − | 4.82465i | −0.266804 | − | 0.154039i | ||||
\(982\) | 7.45447 | − | 0.652181i | 0.237882 | − | 0.0208119i | ||||
\(983\) | −4.37715 | − | 9.38683i | −0.139609 | − | 0.299393i | 0.824055 | − | 0.566510i | \(-0.191707\pi\) |
−0.963664 | + | 0.267117i | \(0.913929\pi\) | |||||||
\(984\) | −7.52173 | + | 2.73769i | −0.239784 | + | 0.0872743i | ||||
\(985\) | 19.3206 | − | 14.4617i | 0.615606 | − | 0.460789i | ||||
\(986\) | 0.876582 | + | 4.97134i | 0.0279160 | + | 0.158320i | ||||
\(987\) | −15.5956 | + | 15.5956i | −0.496412 | + | 0.496412i | ||||
\(988\) | 16.4938 | + | 12.1644i | 0.524736 | + | 0.387000i | ||||
\(989\) | 54.8747i | 1.74492i | ||||||||
\(990\) | 0.0691825 | + | 0.578868i | 0.00219877 | + | 0.0183976i | ||||
\(991\) | −8.93178 | − | 10.6445i | −0.283727 | − | 0.338133i | 0.605291 | − | 0.796004i | \(-0.293057\pi\) |
−0.889019 | + | 0.457871i | \(0.848612\pi\) | |||||||
\(992\) | −0.684428 | − | 0.319154i | −0.0217306 | − | 0.0101332i | ||||
\(993\) | 10.1889 | − | 4.75118i | 0.323336 | − | 0.150774i | ||||
\(994\) | 24.2093 | − | 28.8516i | 0.767873 | − | 0.915116i | ||||
\(995\) | 44.8522 | − | 9.38260i | 1.42191 | − | 0.297448i | ||||
\(996\) | −6.34742 | + | 3.66468i | −0.201126 | + | 0.116120i | ||||
\(997\) | −11.4118 | + | 7.99066i | −0.361417 | + | 0.253067i | −0.740154 | − | 0.672438i | \(-0.765247\pi\) |
0.378737 | + | 0.925504i | \(0.376358\pi\) | |||||||
\(998\) | −17.6298 | + | 12.3445i | −0.558062 | + | 0.390759i | ||||
\(999\) | 9.17917 | − | 5.29960i | 0.290416 | − | 0.167672i |
(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 | 570.2.bh.b.67.5 | ✓ | 120 | |
5.3 | odd | 4 | inner | 570.2.bh.b.523.4 | yes | 120 | |
19.2 | odd | 18 | inner | 570.2.bh.b.97.4 | yes | 120 | |
95.78 | even | 36 | inner | 570.2.bh.b.553.5 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bh.b.67.5 | ✓ | 120 | 1.1 | even | 1 | trivial | |
570.2.bh.b.97.4 | yes | 120 | 19.2 | odd | 18 | inner | |
570.2.bh.b.523.4 | yes | 120 | 5.3 | odd | 4 | inner | |
570.2.bh.b.553.5 | yes | 120 | 95.78 | even | 36 | inner |