Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [570,2,Mod(17,570)]
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([18, 9, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("570.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 570.bi (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: | \(480\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 263.5 | ||
Character | \(\chi\) | \(=\) | 570.263 |
Dual form | 570.2.bi.a.557.5 |
$q$-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 \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(211\) | \(457\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{9}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0871557 | − | 0.996195i | −0.0616284 | − | 0.704416i | ||||
\(3\) | −1.08413 | + | 1.35080i | −0.625924 | + | 0.779884i | ||||
\(4\) | −0.984808 | + | 0.173648i | −0.492404 | + | 0.0868241i | ||||
\(5\) | 1.26644 | + | 1.84286i | 0.566371 | + | 0.824151i | ||||
\(6\) | 1.44015 | + | 0.962277i | 0.587938 | + | 0.392848i | ||||
\(7\) | 2.58063 | + | 0.691478i | 0.975387 | + | 0.261354i | 0.711101 | − | 0.703090i | \(-0.248197\pi\) |
0.264286 | + | 0.964444i | \(0.414864\pi\) | |||||||
\(8\) | 0.258819 | + | 0.965926i | 0.0915064 | + | 0.341506i | ||||
\(9\) | −0.649316 | − | 2.92889i | −0.216439 | − | 0.976296i | ||||
\(10\) | 1.72547 | − | 1.42224i | 0.545640 | − | 0.449752i | ||||
\(11\) | 0.554680 | + | 0.320245i | 0.167242 | + | 0.0965574i | 0.581285 | − | 0.813700i | \(-0.302550\pi\) |
−0.414043 | + | 0.910258i | \(0.635884\pi\) | |||||||
\(12\) | 0.833098 | − | 1.51853i | 0.240495 | − | 0.438363i | ||||
\(13\) | −1.44596 | − | 3.10086i | −0.401036 | − | 0.860025i | −0.998317 | − | 0.0579927i | \(-0.981530\pi\) |
0.597281 | − | 0.802032i | \(-0.296248\pi\) | |||||||
\(14\) | 0.463930 | − | 2.63108i | 0.123990 | − | 0.703185i | ||||
\(15\) | −3.86232 | − | 0.287189i | −0.997247 | − | 0.0741519i | ||||
\(16\) | 0.939693 | − | 0.342020i | 0.234923 | − | 0.0855050i | ||||
\(17\) | 0.403697 | + | 4.61428i | 0.0979110 | + | 1.11913i | 0.873147 | + | 0.487456i | \(0.162075\pi\) |
−0.775236 | + | 0.631671i | \(0.782369\pi\) | |||||||
\(18\) | −2.86115 | + | 0.902115i | −0.674380 | + | 0.212630i | ||||
\(19\) | −0.973621 | + | 4.24877i | −0.223364 | + | 0.974735i | ||||
\(20\) | −1.56721 | − | 1.59494i | −0.350439 | − | 0.356640i | ||||
\(21\) | −3.73179 | + | 2.73626i | −0.814344 | + | 0.597101i | ||||
\(22\) | 0.270683 | − | 0.580481i | 0.0577097 | − | 0.123759i | ||||
\(23\) | 4.59541 | + | 3.21774i | 0.958209 | + | 0.670945i | 0.944344 | − | 0.328959i | \(-0.106698\pi\) |
0.0138645 | + | 0.999904i | \(0.495587\pi\) | |||||||
\(24\) | −1.58537 | − | 0.697578i | −0.323611 | − | 0.142393i | ||||
\(25\) | −1.79224 | + | 4.66775i | −0.358448 | + | 0.933550i | ||||
\(26\) | −2.96304 | + | 1.71071i | −0.581100 | + | 0.335498i | ||||
\(27\) | 4.66028 | + | 2.29821i | 0.896872 | + | 0.442290i | ||||
\(28\) | −2.66150 | − | 0.232851i | −0.502976 | − | 0.0440047i | ||||
\(29\) | −4.13041 | + | 3.46582i | −0.766998 | + | 0.643588i | −0.939938 | − | 0.341345i | \(-0.889118\pi\) |
0.172940 | + | 0.984932i | \(0.444673\pi\) | |||||||
\(30\) | 0.0505272 | + | 3.87265i | 0.00922497 | + | 0.707047i | ||||
\(31\) | −2.31112 | − | 4.00297i | −0.415089 | − | 0.718954i | 0.580349 | − | 0.814368i | \(-0.302916\pi\) |
−0.995438 | + | 0.0954133i | \(0.969583\pi\) | |||||||
\(32\) | −0.422618 | − | 0.906308i | −0.0747091 | − | 0.160214i | ||||
\(33\) | −1.03393 | + | 0.402074i | −0.179985 | + | 0.0699921i | ||||
\(34\) | 4.56154 | − | 0.804322i | 0.782297 | − | 0.137940i | ||||
\(35\) | 1.99393 | + | 5.63145i | 0.337035 | + | 0.951889i | ||||
\(36\) | 1.14805 | + | 2.77164i | 0.191341 | + | 0.461940i | ||||
\(37\) | −1.10962 | + | 1.10962i | −0.182420 | + | 0.182420i | −0.792410 | − | 0.609989i | \(-0.791174\pi\) |
0.609989 | + | 0.792410i | \(0.291174\pi\) | |||||||
\(38\) | 4.31746 | + | 0.599611i | 0.700385 | + | 0.0972698i | ||||
\(39\) | 5.75625 | + | 1.40855i | 0.921738 | + | 0.225548i | ||||
\(40\) | −1.45228 | + | 1.70026i | −0.229626 | + | 0.268834i | ||||
\(41\) | 3.45091 | + | 9.48129i | 0.538941 | + | 1.48073i | 0.848162 | + | 0.529738i | \(0.177710\pi\) |
−0.309221 | + | 0.950990i | \(0.600068\pi\) | |||||||
\(42\) | 3.05109 | + | 3.47911i | 0.470794 | + | 0.536838i | ||||
\(43\) | 9.96368 | − | 6.97664i | 1.51945 | − | 1.06393i | 0.545237 | − | 0.838282i | \(-0.316440\pi\) |
0.974209 | − | 0.225646i | \(-0.0724493\pi\) | |||||||
\(44\) | −0.601863 | − | 0.219060i | −0.0907343 | − | 0.0330246i | ||||
\(45\) | 4.57520 | − | 4.90587i | 0.682031 | − | 0.731324i | ||||
\(46\) | 2.80498 | − | 4.85836i | 0.413571 | − | 0.716327i | ||||
\(47\) | −0.0396980 | − | 0.00347312i | −0.00579055 | − | 0.000506607i | 0.0842601 | − | 0.996444i | \(-0.473147\pi\) |
−0.0900506 | + | 0.995937i | \(0.528703\pi\) | |||||||
\(48\) | −0.556750 | + | 1.64013i | −0.0803600 | + | 0.236732i | ||||
\(49\) | 0.119333 | + | 0.0688967i | 0.0170475 | + | 0.00984239i | ||||
\(50\) | 4.80619 | + | 1.37860i | 0.679698 | + | 0.194964i | ||||
\(51\) | −6.67063 | − | 4.45717i | −0.934075 | − | 0.624129i | ||||
\(52\) | 1.96245 | + | 2.80267i | 0.272143 | + | 0.388660i | ||||
\(53\) | −4.79662 | − | 3.35863i | −0.658866 | − | 0.461343i | 0.195715 | − | 0.980661i | \(-0.437297\pi\) |
−0.854581 | + | 0.519318i | \(0.826186\pi\) | |||||||
\(54\) | 1.88329 | − | 4.84285i | 0.256283 | − | 0.659029i | ||||
\(55\) | 0.112306 | + | 1.42777i | 0.0151433 | + | 0.192520i | ||||
\(56\) | 2.67166i | 0.357016i | ||||||||
\(57\) | −4.68370 | − | 5.92140i | −0.620372 | − | 0.784308i | ||||
\(58\) | 3.81263 | + | 3.81263i | 0.500622 | + | 0.500622i | ||||
\(59\) | −0.274488 | − | 0.230323i | −0.0357354 | − | 0.0299855i | 0.624745 | − | 0.780829i | \(-0.285203\pi\) |
−0.660480 | + | 0.750843i | \(0.729647\pi\) | |||||||
\(60\) | 3.85351 | − | 0.387859i | 0.497486 | − | 0.0500724i | ||||
\(61\) | 1.05552 | + | 5.98616i | 0.135146 | + | 0.766450i | 0.974758 | + | 0.223264i | \(0.0716711\pi\) |
−0.839612 | + | 0.543186i | \(0.817218\pi\) | |||||||
\(62\) | −3.78631 | + | 2.65120i | −0.480862 | + | 0.336703i | ||||
\(63\) | 0.349617 | − | 8.00737i | 0.0440476 | − | 1.00883i | ||||
\(64\) | −0.866025 | + | 0.500000i | −0.108253 | + | 0.0625000i | ||||
\(65\) | 3.88323 | − | 6.59176i | 0.481655 | − | 0.817607i | ||||
\(66\) | 0.490657 | + | 0.994955i | 0.0603957 | + | 0.122471i | ||||
\(67\) | −0.651894 | + | 7.45118i | −0.0796415 | + | 0.910307i | 0.846317 | + | 0.532680i | \(0.178815\pi\) |
−0.925958 | + | 0.377626i | \(0.876740\pi\) | |||||||
\(68\) | −1.19883 | − | 4.47408i | −0.145379 | − | 0.542562i | ||||
\(69\) | −9.32855 | + | 2.71902i | −1.12303 | + | 0.327331i | ||||
\(70\) | 5.43624 | − | 2.47715i | 0.649755 | − | 0.296076i | ||||
\(71\) | −2.57023 | − | 0.453202i | −0.305031 | − | 0.0537851i | 0.0190378 | − | 0.999819i | \(-0.493940\pi\) |
−0.324068 | + | 0.946034i | \(0.605051\pi\) | |||||||
\(72\) | 2.66103 | − | 1.38524i | 0.313606 | − | 0.163252i | ||||
\(73\) | 5.13652 | + | 2.39520i | 0.601184 | + | 0.280337i | 0.699289 | − | 0.714839i | \(-0.253500\pi\) |
−0.0981045 | + | 0.995176i | \(0.531278\pi\) | |||||||
\(74\) | 1.20211 | + | 1.00869i | 0.139742 | + | 0.117258i | ||||
\(75\) | −4.36216 | − | 7.48141i | −0.503699 | − | 0.863879i | ||||
\(76\) | 0.221038 | − | 4.35329i | 0.0253548 | − | 0.499357i | ||||
\(77\) | 1.20998 | + | 1.20998i | 0.137890 | + | 0.137890i | ||||
\(78\) | 0.901498 | − | 5.85711i | 0.102075 | − | 0.663187i | ||||
\(79\) | 0.988647 | + | 2.71629i | 0.111231 | + | 0.305606i | 0.982802 | − | 0.184665i | \(-0.0591200\pi\) |
−0.871570 | + | 0.490271i | \(0.836898\pi\) | |||||||
\(80\) | 1.82036 | + | 1.29857i | 0.203523 | + | 0.145185i | ||||
\(81\) | −8.15678 | + | 3.80355i | −0.906309 | + | 0.422617i | ||||
\(82\) | 9.14444 | − | 4.26412i | 1.00983 | − | 0.470894i | ||||
\(83\) | −10.1580 | − | 2.72183i | −1.11499 | − | 0.298760i | −0.346134 | − | 0.938185i | \(-0.612506\pi\) |
−0.768854 | + | 0.639425i | \(0.779173\pi\) | |||||||
\(84\) | 3.19995 | − | 3.34271i | 0.349143 | − | 0.364719i | ||||
\(85\) | −7.99220 | + | 6.58768i | −0.866876 | + | 0.714534i | ||||
\(86\) | −7.81849 | − | 9.31771i | −0.843089 | − | 1.00475i | ||||
\(87\) | −0.203725 | − | 9.33676i | −0.0218416 | − | 1.00101i | ||||
\(88\) | −0.165771 | + | 0.618665i | −0.0176712 | + | 0.0659499i | ||||
\(89\) | −4.92265 | − | 1.79170i | −0.521800 | − | 0.189920i | 0.0676732 | − | 0.997708i | \(-0.478442\pi\) |
−0.589473 | + | 0.807788i | \(0.700665\pi\) | |||||||
\(90\) | −5.28596 | − | 4.13022i | −0.557189 | − | 0.435363i | ||||
\(91\) | −1.58730 | − | 9.00203i | −0.166394 | − | 0.943669i | ||||
\(92\) | −5.08435 | − | 2.37087i | −0.530080 | − | 0.247180i | ||||
\(93\) | 7.91276 | + | 1.21789i | 0.820515 | + | 0.126290i | ||||
\(94\) | 0.0398496i | 0.00411017i | ||||||||
\(95\) | −9.06291 | + | 3.58659i | −0.929835 | + | 0.367976i | ||||
\(96\) | 1.68241 | + | 0.411685i | 0.171711 | + | 0.0420174i | ||||
\(97\) | 6.32427 | − | 0.553301i | 0.642132 | − | 0.0561793i | 0.238561 | − | 0.971128i | \(-0.423324\pi\) |
0.403571 | + | 0.914948i | \(0.367769\pi\) | |||||||
\(98\) | 0.0582340 | − | 0.124883i | 0.00588252 | − | 0.0126151i | ||||
\(99\) | 0.577798 | − | 1.83254i | 0.0580709 | − | 0.184177i | ||||
\(100\) | 0.954468 | − | 4.90805i | 0.0954468 | − | 0.490805i | ||||
\(101\) | 0.810731 | − | 2.22746i | 0.0806707 | − | 0.221641i | −0.892800 | − | 0.450454i | \(-0.851262\pi\) |
0.973470 | + | 0.228813i | \(0.0734844\pi\) | |||||||
\(102\) | −3.85883 | + | 7.03371i | −0.382081 | + | 0.696441i | ||||
\(103\) | 18.7489 | − | 5.02375i | 1.84738 | − | 0.495005i | 0.847995 | − | 0.530004i | \(-0.177809\pi\) |
0.999387 | + | 0.0349989i | \(0.0111428\pi\) | |||||||
\(104\) | 2.62096 | − | 2.19925i | 0.257007 | − | 0.215654i | ||||
\(105\) | −9.76864 | − | 3.41184i | −0.953321 | − | 0.332961i | ||||
\(106\) | −2.92779 | + | 5.07109i | −0.284373 | + | 0.492548i | ||||
\(107\) | 3.02567 | − | 11.2919i | 0.292502 | − | 1.09163i | −0.650678 | − | 0.759354i | \(-0.725515\pi\) |
0.943181 | − | 0.332280i | \(-0.107818\pi\) | |||||||
\(108\) | −4.98856 | − | 1.45404i | −0.480025 | − | 0.139915i | ||||
\(109\) | −12.4624 | − | 2.19747i | −1.19369 | − | 0.210479i | −0.458718 | − | 0.888582i | \(-0.651691\pi\) |
−0.734967 | + | 0.678103i | \(0.762802\pi\) | |||||||
\(110\) | 1.41255 | − | 0.236317i | 0.134681 | − | 0.0225319i | ||||
\(111\) | −0.295899 | − | 2.70185i | −0.0280855 | − | 0.256448i | ||||
\(112\) | 2.66150 | − | 0.232851i | 0.251488 | − | 0.0220023i | ||||
\(113\) | 13.1102 | − | 13.1102i | 1.23330 | − | 1.23330i | 0.270613 | − | 0.962688i | \(-0.412773\pi\) |
0.962688 | − | 0.270613i | \(-0.0872265\pi\) | |||||||
\(114\) | −5.49065 | + | 5.18196i | −0.514247 | + | 0.485335i | ||||
\(115\) | −0.110008 | + | 12.5438i | −0.0102583 | + | 1.16971i | ||||
\(116\) | 3.46582 | − | 4.13041i | 0.321794 | − | 0.383499i | ||||
\(117\) | −8.14320 | + | 6.24849i | −0.752839 | + | 0.577673i | ||||
\(118\) | −0.205523 | + | 0.293518i | −0.0189200 | + | 0.0270205i | ||||
\(119\) | −2.14888 | + | 12.1869i | −0.196987 | + | 1.11717i | ||||
\(120\) | −0.722239 | − | 3.80505i | −0.0659311 | − | 0.347352i | ||||
\(121\) | −5.29489 | − | 9.17101i | −0.481353 | − | 0.833728i | ||||
\(122\) | 5.87139 | − | 1.57323i | 0.531571 | − | 0.142434i | ||||
\(123\) | −16.5485 | − | 5.61748i | −1.49213 | − | 0.506511i | ||||
\(124\) | 2.97111 | + | 3.54083i | 0.266814 | + | 0.317976i | ||||
\(125\) | −10.8718 | + | 2.60859i | −0.972400 | + | 0.233320i | ||||
\(126\) | −8.00737 | + | 0.349602i | −0.713353 | + | 0.0311450i | ||||
\(127\) | 17.0072 | − | 7.93059i | 1.50915 | − | 0.703726i | 0.520482 | − | 0.853873i | \(-0.325752\pi\) |
0.988664 | + | 0.150146i | \(0.0479745\pi\) | |||||||
\(128\) | 0.573576 | + | 0.819152i | 0.0506975 | + | 0.0724035i | ||||
\(129\) | −1.37790 | + | 21.0225i | −0.121317 | + | 1.85093i | ||||
\(130\) | −6.90512 | − | 3.29394i | −0.605619 | − | 0.288898i | ||||
\(131\) | 0.936829 | − | 1.11647i | 0.0818511 | − | 0.0975464i | −0.723565 | − | 0.690257i | \(-0.757498\pi\) |
0.805416 | + | 0.592710i | \(0.201942\pi\) | |||||||
\(132\) | 0.948406 | − | 0.575506i | 0.0825481 | − | 0.0500914i | ||||
\(133\) | −5.45049 | + | 10.2913i | −0.472617 | + | 0.892366i | ||||
\(134\) | 7.47964 | 0.646143 | ||||||||
\(135\) | 1.66672 | + | 11.4988i | 0.143449 | + | 0.989658i | ||||
\(136\) | −4.35257 | + | 1.58421i | −0.373230 | + | 0.135844i | ||||
\(137\) | −3.22026 | + | 4.59901i | −0.275125 | + | 0.392920i | −0.932807 | − | 0.360376i | \(-0.882648\pi\) |
0.657682 | + | 0.753296i | \(0.271537\pi\) | |||||||
\(138\) | 3.52171 | + | 9.05607i | 0.299788 | + | 0.770904i | ||||
\(139\) | 7.01865 | − | 19.2836i | 0.595314 | − | 1.63561i | −0.165176 | − | 0.986264i | \(-0.552819\pi\) |
0.760491 | − | 0.649349i | \(-0.224959\pi\) | |||||||
\(140\) | −2.94153 | − | 5.19965i | −0.248604 | − | 0.439451i | ||||
\(141\) | 0.0477293 | − | 0.0498587i | 0.00401954 | − | 0.00419886i | ||||
\(142\) | −0.227466 | + | 2.59995i | −0.0190886 | + | 0.218183i | ||||
\(143\) | 0.190992 | − | 2.18305i | 0.0159715 | − | 0.182556i | ||||
\(144\) | −1.61190 | − | 2.53018i | −0.134325 | − | 0.210848i | ||||
\(145\) | −11.6179 | − | 3.22248i | −0.964818 | − | 0.267612i | ||||
\(146\) | 1.93841 | − | 5.32573i | 0.160424 | − | 0.440761i | ||||
\(147\) | −0.222438 | + | 0.0865013i | −0.0183464 | + | 0.00713450i | ||||
\(148\) | 0.900079 | − | 1.28545i | 0.0739860 | − | 0.105663i | ||||
\(149\) | 5.51146 | − | 2.00601i | 0.451517 | − | 0.164339i | −0.106245 | − | 0.994340i | \(-0.533883\pi\) |
0.557761 | + | 0.830001i | \(0.311660\pi\) | |||||||
\(150\) | −7.07276 | + | 4.99761i | −0.577488 | + | 0.408053i | ||||
\(151\) | −3.05810 | −0.248865 | −0.124432 | − | 0.992228i | \(-0.539711\pi\) | ||||
−0.124432 | + | 0.992228i | \(0.539711\pi\) | |||||||
\(152\) | −4.35599 | + | 0.159217i | −0.353317 | + | 0.0129142i | ||||
\(153\) | 13.2526 | − | 4.17851i | 1.07141 | − | 0.337813i | ||||
\(154\) | 1.09992 | − | 1.31083i | 0.0886342 | − | 0.105630i | ||||
\(155\) | 4.45000 | − | 9.32859i | 0.357433 | − | 0.749290i | ||||
\(156\) | −5.91339 | − | 0.387587i | −0.473450 | − | 0.0310318i | ||||
\(157\) | 6.35911 | + | 9.08175i | 0.507512 | + | 0.724803i | 0.988382 | − | 0.151989i | \(-0.0485679\pi\) |
−0.480870 | + | 0.876792i | \(0.659679\pi\) | |||||||
\(158\) | 2.61978 | − | 1.22162i | 0.208419 | − | 0.0971872i | ||||
\(159\) | 9.73700 | − | 2.83807i | 0.772194 | − | 0.225074i | ||||
\(160\) | 1.13497 | − | 1.92661i | 0.0897275 | − | 0.152312i | ||||
\(161\) | 9.63405 | + | 11.4814i | 0.759270 | + | 0.904862i | ||||
\(162\) | 4.49999 | + | 7.79424i | 0.353552 | + | 0.612373i | ||||
\(163\) | 0.927289 | − | 0.248466i | 0.0726309 | − | 0.0194614i | −0.222321 | − | 0.974974i | \(-0.571363\pi\) |
0.294952 | + | 0.955512i | \(0.404697\pi\) | |||||||
\(164\) | −5.04489 | − | 8.73800i | −0.393939 | − | 0.682323i | ||||
\(165\) | −2.05038 | − | 1.39619i | −0.159622 | − | 0.108693i | ||||
\(166\) | −1.82615 | + | 10.3566i | −0.141737 | + | 0.803828i | ||||
\(167\) | 7.24077 | − | 10.3409i | 0.560308 | − | 0.800202i | −0.434639 | − | 0.900605i | \(-0.643124\pi\) |
0.994947 | + | 0.100402i | \(0.0320130\pi\) | |||||||
\(168\) | −3.60888 | − | 2.89644i | −0.278431 | − | 0.223465i | ||||
\(169\) | 0.831672 | − | 0.991148i | 0.0639748 | − | 0.0762422i | ||||
\(170\) | 7.25918 | + | 7.38763i | 0.556754 | + | 0.566605i | ||||
\(171\) | 13.0764 | + | 0.0928320i | 0.999975 | + | 0.00709904i | ||||
\(172\) | −8.60083 | + | 8.60083i | −0.655807 | + | 0.655807i | ||||
\(173\) | −21.7943 | + | 1.90675i | −1.65699 | + | 0.144968i | −0.876891 | − | 0.480690i | \(-0.840386\pi\) |
−0.780098 | + | 0.625658i | \(0.784831\pi\) | |||||||
\(174\) | −9.28348 | + | 1.01670i | −0.703779 | + | 0.0770760i | ||||
\(175\) | −7.85276 | + | 10.8064i | −0.593613 | + | 0.816890i | ||||
\(176\) | 0.630759 | + | 0.111220i | 0.0475452 | + | 0.00838351i | ||||
\(177\) | 0.608702 | − | 0.121078i | 0.0457528 | − | 0.00910079i | ||||
\(178\) | −1.35584 | + | 5.06008i | −0.101625 | + | 0.379269i | ||||
\(179\) | 3.01962 | − | 5.23013i | 0.225697 | − | 0.390918i | −0.730831 | − | 0.682558i | \(-0.760867\pi\) |
0.956528 | + | 0.291640i | \(0.0942008\pi\) | |||||||
\(180\) | −3.65380 | + | 5.62581i | −0.272338 | + | 0.419323i | ||||
\(181\) | 3.15324 | − | 2.64588i | 0.234378 | − | 0.196667i | −0.518032 | − | 0.855361i | \(-0.673335\pi\) |
0.752411 | + | 0.658694i | \(0.228891\pi\) | |||||||
\(182\) | −8.82943 | + | 2.36584i | −0.654481 | + | 0.175368i | ||||
\(183\) | −9.23043 | − | 5.06399i | −0.682333 | − | 0.374341i | ||||
\(184\) | −1.91872 | + | 5.27163i | −0.141450 | + | 0.388630i | ||||
\(185\) | −3.45014 | − | 0.639599i | −0.253659 | − | 0.0470243i | ||||
\(186\) | 0.523617 | − | 7.98880i | 0.0383935 | − | 0.585767i | ||||
\(187\) | −1.25378 | + | 2.68873i | −0.0916852 | + | 0.196620i | ||||
\(188\) | 0.0396980 | − | 0.00347312i | 0.00289527 | − | 0.000253304i | ||||
\(189\) | 10.4373 | + | 9.15330i | 0.759203 | + | 0.665805i | ||||
\(190\) | 4.36282 | + | 8.71584i | 0.316512 | + | 0.632313i | ||||
\(191\) | − | 2.65139i | − | 0.191847i | −0.995389 | − | 0.0959237i | \(-0.969420\pi\) | ||
0.995389 | − | 0.0959237i | \(-0.0305805\pi\) | |||||||
\(192\) | 0.263486 | − | 1.71189i | 0.0190155 | − | 0.123545i | ||||
\(193\) | −19.3543 | − | 9.02507i | −1.39316 | − | 0.649639i | −0.426210 | − | 0.904624i | \(-0.640152\pi\) |
−0.966945 | + | 0.254985i | \(0.917929\pi\) | |||||||
\(194\) | −1.10239 | − | 6.25198i | −0.0791471 | − | 0.448866i | ||||
\(195\) | 4.69421 | + | 12.3918i | 0.336160 | + | 0.887395i | ||||
\(196\) | −0.129483 | − | 0.0471281i | −0.00924882 | − | 0.00336630i | ||||
\(197\) | 4.71618 | − | 17.6010i | 0.336014 | − | 1.25402i | −0.566753 | − | 0.823888i | \(-0.691800\pi\) |
0.902766 | − | 0.430132i | \(-0.141533\pi\) | |||||||
\(198\) | −1.87592 | − | 0.415884i | −0.133316 | − | 0.0295556i | ||||
\(199\) | 6.15964 | + | 7.34077i | 0.436645 | + | 0.520373i | 0.938827 | − | 0.344389i | \(-0.111914\pi\) |
−0.502182 | + | 0.864762i | \(0.667469\pi\) | |||||||
\(200\) | −4.97256 | − | 0.523070i | −0.351613 | − | 0.0369867i | ||||
\(201\) | −9.35831 | − | 8.95864i | −0.660084 | − | 0.631894i | ||||
\(202\) | −2.28965 | − | 0.613509i | −0.161099 | − | 0.0431664i | ||||
\(203\) | −13.0556 | + | 6.08793i | −0.916323 | + | 0.427289i | ||||
\(204\) | 7.34327 | + | 3.23112i | 0.514131 | + | 0.226224i | ||||
\(205\) | −13.1023 | + | 18.3670i | −0.915103 | + | 1.28281i | ||||
\(206\) | −6.63871 | − | 18.2397i | −0.462541 | − | 1.27082i | ||||
\(207\) | 6.44053 | − | 15.5488i | 0.447648 | − | 1.08071i | ||||
\(208\) | −2.41931 | − | 2.41931i | −0.167749 | − | 0.167749i | ||||
\(209\) | −1.90070 | + | 2.04491i | −0.131474 | + | 0.141450i | ||||
\(210\) | −2.54746 | + | 10.0288i | −0.175792 | + | 0.692055i | ||||
\(211\) | −11.4618 | − | 9.61757i | −0.789061 | − | 0.662101i | 0.156452 | − | 0.987686i | \(-0.449994\pi\) |
−0.945513 | + | 0.325585i | \(0.894439\pi\) | |||||||
\(212\) | 5.30697 | + | 2.47468i | 0.364484 | + | 0.169962i | ||||
\(213\) | 3.39866 | − | 2.98054i | 0.232872 | − | 0.204223i | ||||
\(214\) | −11.5127 | − | 2.03000i | −0.786991 | − | 0.138768i | ||||
\(215\) | 25.4754 | + | 9.52611i | 1.73741 | + | 0.649675i | ||||
\(216\) | −1.01373 | + | 5.09631i | −0.0689753 | + | 0.346760i | ||||
\(217\) | −3.19617 | − | 11.9283i | −0.216970 | − | 0.809743i | ||||
\(218\) | −1.10293 | + | 12.6065i | −0.0746998 | + | 0.853823i | ||||
\(219\) | −8.80410 | + | 4.34170i | −0.594926 | + | 0.293385i | ||||
\(220\) | −0.358529 | − | 1.38658i | −0.0241720 | − | 0.0934829i | ||||
\(221\) | 13.7245 | − | 7.92386i | 0.923212 | − | 0.533016i | ||||
\(222\) | −2.66578 | + | 0.530255i | −0.178915 | + | 0.0355884i | ||||
\(223\) | 13.1953 | − | 9.23947i | 0.883625 | − | 0.618721i | −0.0411846 | − | 0.999152i | \(-0.513113\pi\) |
0.924809 | + | 0.380431i | \(0.124224\pi\) | |||||||
\(224\) | −0.463930 | − | 2.63108i | −0.0309976 | − | 0.175796i | ||||
\(225\) | 14.8350 | + | 2.21843i | 0.989003 | + | 0.147895i | ||||
\(226\) | −14.2029 | − | 11.9177i | −0.944764 | − | 0.792751i | ||||
\(227\) | 15.2561 | + | 15.2561i | 1.01258 | + | 1.01258i | 0.999920 | + | 0.0126606i | \(0.00403009\pi\) |
0.0126606 | + | 0.999920i | \(0.495970\pi\) | |||||||
\(228\) | 5.64079 | + | 5.01812i | 0.373570 | + | 0.332333i | ||||
\(229\) | − | 1.02530i | − | 0.0677540i | −0.999426 | − | 0.0338770i | \(-0.989215\pi\) | ||
0.999426 | − | 0.0338770i | \(-0.0107855\pi\) | |||||||
\(230\) | 12.5056 | − | 0.983672i | 0.824596 | − | 0.0648614i | ||||
\(231\) | −2.94622 | + | 0.322663i | −0.193847 | + | 0.0212296i | ||||
\(232\) | −4.41676 | − | 3.09265i | −0.289974 | − | 0.203042i | ||||
\(233\) | −5.67702 | − | 8.10763i | −0.371914 | − | 0.531148i | 0.588950 | − | 0.808170i | \(-0.299542\pi\) |
−0.960864 | + | 0.277021i | \(0.910653\pi\) | |||||||
\(234\) | 6.93444 | + | 7.56762i | 0.453318 | + | 0.494711i | ||||
\(235\) | −0.0438748 | − | 0.0775562i | −0.00286208 | − | 0.00505921i | ||||
\(236\) | 0.310314 | + | 0.179160i | 0.0201997 | + | 0.0116623i | ||||
\(237\) | −4.74098 | − | 1.60935i | −0.307960 | − | 0.104538i | ||||
\(238\) | 12.3278 | + | 1.07854i | 0.799093 | + | 0.0699116i | ||||
\(239\) | −12.1309 | + | 21.0113i | −0.784681 | + | 1.35911i | 0.144509 | + | 0.989503i | \(0.453840\pi\) |
−0.929190 | + | 0.369603i | \(0.879494\pi\) | |||||||
\(240\) | −3.72762 | + | 1.05112i | −0.240617 | + | 0.0678496i | ||||
\(241\) | 14.5060 | + | 5.27974i | 0.934411 | + | 0.340098i | 0.763956 | − | 0.645268i | \(-0.223254\pi\) |
0.170454 | + | 0.985366i | \(0.445476\pi\) | |||||||
\(242\) | −8.67463 | + | 6.07404i | −0.557627 | + | 0.390454i | ||||
\(243\) | 3.70519 | − | 15.1417i | 0.237688 | − | 0.971342i | ||||
\(244\) | −2.07897 | − | 5.71193i | −0.133093 | − | 0.365669i | ||||
\(245\) | 0.0241612 | + | 0.307167i | 0.00154360 | + | 0.0196242i | ||||
\(246\) | −4.15381 | + | 16.9752i | −0.264837 | + | 1.08230i | ||||
\(247\) | 14.5827 | − | 3.12447i | 0.927874 | − | 0.198805i | ||||
\(248\) | 3.26841 | − | 3.26841i | 0.207544 | − | 0.207544i | ||||
\(249\) | 14.6893 | − | 10.7706i | 0.930896 | − | 0.682561i | ||||
\(250\) | 3.54620 | + | 10.6030i | 0.224282 | + | 0.670595i | ||||
\(251\) | 14.3908 | − | 2.53749i | 0.908342 | − | 0.160165i | 0.300092 | − | 0.953910i | \(-0.402983\pi\) |
0.608250 | + | 0.793745i | \(0.291872\pi\) | |||||||
\(252\) | 1.04616 | + | 7.94643i | 0.0659018 | + | 0.500578i | ||||
\(253\) | 1.51852 | + | 3.25647i | 0.0954684 | + | 0.204733i | ||||
\(254\) | −9.38269 | − | 16.2513i | −0.588722 | − | 1.01970i | ||||
\(255\) | −0.234037 | − | 17.9378i | −0.0146560 | − | 1.12331i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 26.0876 | + | 2.28237i | 1.62730 | + | 0.142370i | 0.863936 | − | 0.503601i | \(-0.167992\pi\) |
0.763362 | + | 0.645971i | \(0.223547\pi\) | |||||||
\(258\) | 21.0626 | − | 0.459578i | 1.31130 | − | 0.0286121i | ||||
\(259\) | −3.63080 | + | 2.09624i | −0.225607 | + | 0.130254i | ||||
\(260\) | −2.67958 | + | 7.16593i | −0.166181 | + | 0.444412i | ||||
\(261\) | 12.8330 | + | 9.84709i | 0.794340 | + | 0.609520i | ||||
\(262\) | −1.19387 | − | 0.835957i | −0.0737576 | − | 0.0516456i | ||||
\(263\) | −11.6320 | + | 24.9450i | −0.717261 | + | 1.53817i | 0.120849 | + | 0.992671i | \(0.461438\pi\) |
−0.838110 | + | 0.545501i | \(0.816340\pi\) | |||||||
\(264\) | −0.655975 | − | 0.894638i | −0.0403725 | − | 0.0550612i | ||||
\(265\) | 0.114825 | − | 13.0930i | 0.00705361 | − | 0.804296i | ||||
\(266\) | 10.7272 | + | 4.53280i | 0.657724 | + | 0.277924i | ||||
\(267\) | 7.75703 | − | 4.70708i | 0.474723 | − | 0.288068i | ||||
\(268\) | −0.651894 | − | 7.45118i | −0.0398208 | − | 0.455153i | ||||
\(269\) | −26.3597 | + | 9.59414i | −1.60718 | + | 0.584965i | −0.980879 | − | 0.194617i | \(-0.937654\pi\) |
−0.626300 | + | 0.779582i | \(0.715431\pi\) | |||||||
\(270\) | 11.3098 | − | 2.66257i | 0.688290 | − | 0.162039i | ||||
\(271\) | 3.95466 | − | 22.4280i | 0.240229 | − | 1.36240i | −0.591088 | − | 0.806607i | \(-0.701302\pi\) |
0.831317 | − | 0.555798i | \(-0.187587\pi\) | |||||||
\(272\) | 1.95753 | + | 4.19793i | 0.118693 | + | 0.254537i | ||||
\(273\) | 13.8808 | + | 7.61526i | 0.840103 | + | 0.460897i | ||||
\(274\) | 4.86217 | + | 2.80718i | 0.293735 | + | 0.169588i | ||||
\(275\) | −2.48894 | + | 2.01515i | −0.150089 | + | 0.121518i | ||||
\(276\) | 8.71467 | − | 4.29760i | 0.524562 | − | 0.258685i | ||||
\(277\) | −1.88014 | − | 7.01677i | −0.112967 | − | 0.421597i | 0.886160 | − | 0.463379i | \(-0.153363\pi\) |
−0.999127 | + | 0.0417820i | \(0.986696\pi\) | |||||||
\(278\) | −19.8219 | − | 5.31127i | −1.18884 | − | 0.318549i | ||||
\(279\) | −10.2236 | + | 9.36819i | −0.612071 | + | 0.560859i | ||||
\(280\) | −4.92350 | + | 3.38351i | −0.294235 | + | 0.202204i | ||||
\(281\) | 8.80484 | − | 1.55253i | 0.525253 | − | 0.0926163i | 0.0952669 | − | 0.995452i | \(-0.469630\pi\) |
0.429986 | + | 0.902835i | \(0.358518\pi\) | |||||||
\(282\) | −0.0538288 | − | 0.0432022i | −0.00320546 | − | 0.00257266i | ||||
\(283\) | 1.38751 | + | 15.8593i | 0.0824789 | + | 0.942738i | 0.918858 | + | 0.394587i | \(0.129112\pi\) |
−0.836379 | + | 0.548151i | \(0.815332\pi\) | |||||||
\(284\) | 2.60988 | 0.154868 | ||||||||
\(285\) | 4.98064 | − | 16.1305i | 0.295028 | − | 0.955489i | ||||
\(286\) | −2.19139 | −0.129579 | ||||||||
\(287\) | 2.34941 | + | 26.8539i | 0.138681 | + | 1.58514i | ||||
\(288\) | −2.38006 | + | 1.82628i | −0.140246 | + | 0.107615i | ||||
\(289\) | −4.38688 | + | 0.773526i | −0.258052 | + | 0.0455015i | ||||
\(290\) | −2.19765 | + | 11.8546i | −0.129050 | + | 0.696126i | ||||
\(291\) | −6.10894 | + | 9.14266i | −0.358112 | + | 0.535952i | ||||
\(292\) | −5.47441 | − | 1.46686i | −0.320365 | − | 0.0858417i | ||||
\(293\) | −2.07590 | − | 7.74736i | −0.121275 | − | 0.452605i | 0.878404 | − | 0.477918i | \(-0.158608\pi\) |
−0.999680 | + | 0.0253128i | \(0.991942\pi\) | |||||||
\(294\) | 0.105559 | + | 0.214052i | 0.00615632 | + | 0.0124838i | ||||
\(295\) | 0.0768285 | − | 0.797534i | 0.00447313 | − | 0.0464342i | ||||
\(296\) | −1.35900 | − | 0.784620i | −0.0789903 | − | 0.0456051i | ||||
\(297\) | 1.84898 | + | 2.76720i | 0.107289 | + | 0.160569i | ||||
\(298\) | −2.47873 | − | 5.31565i | −0.143589 | − | 0.307928i | ||||
\(299\) | 3.33301 | − | 18.9024i | 0.192753 | − | 1.09316i | ||||
\(300\) | 5.59503 | + | 6.61027i | 0.323029 | + | 0.381644i | ||||
\(301\) | 30.5368 | − | 11.1145i | 1.76011 | − | 0.640627i | ||||
\(302\) | 0.266531 | + | 3.04646i | 0.0153371 | + | 0.175304i | ||||
\(303\) | 2.12992 | + | 3.51000i | 0.122361 | + | 0.201644i | ||||
\(304\) | 0.538261 | + | 4.32554i | 0.0308714 | + | 0.248087i | ||||
\(305\) | −9.69488 | + | 9.52631i | −0.555127 | + | 0.545475i | ||||
\(306\) | −5.31765 | − | 12.8380i | −0.303990 | − | 0.733898i | ||||
\(307\) | −2.74323 | + | 5.88287i | −0.156564 | + | 0.335753i | −0.968906 | − | 0.247428i | \(-0.920415\pi\) |
0.812342 | + | 0.583181i | \(0.198192\pi\) | |||||||
\(308\) | −1.40171 | − | 0.981489i | −0.0798699 | − | 0.0559255i | ||||
\(309\) | −13.5402 | + | 30.7724i | −0.770275 | + | 1.75058i | ||||
\(310\) | −9.68093 | − | 3.62003i | −0.549840 | − | 0.205604i | ||||
\(311\) | 10.4907 | − | 6.05678i | 0.594871 | − | 0.343449i | −0.172150 | − | 0.985071i | \(-0.555071\pi\) |
0.767021 | + | 0.641622i | \(0.221738\pi\) | |||||||
\(312\) | 0.129274 | + | 5.92467i | 0.00731870 | + | 0.335418i | ||||
\(313\) | −0.125661 | − | 0.0109939i | −0.00710279 | − | 0.000621414i | 0.0836038 | − | 0.996499i | \(-0.473357\pi\) |
−0.0907066 | + | 0.995878i | \(0.528913\pi\) | |||||||
\(314\) | 8.49296 | − | 7.12644i | 0.479286 | − | 0.402168i | ||||
\(315\) | 15.1992 | − | 9.49658i | 0.856378 | − | 0.535072i | ||||
\(316\) | −1.44531 | − | 2.50334i | −0.0813048 | − | 0.140824i | ||||
\(317\) | −8.41187 | − | 18.0393i | −0.472458 | − | 1.01319i | −0.987731 | − | 0.156163i | \(-0.950088\pi\) |
0.515274 | − | 0.857026i | \(-0.327690\pi\) | |||||||
\(318\) | −3.67591 | − | 9.45259i | −0.206135 | − | 0.530075i | ||||
\(319\) | −3.40097 | + | 0.599682i | −0.190418 | + | 0.0335758i | ||||
\(320\) | −2.01820 | − | 0.962739i | −0.112821 | − | 0.0538187i | ||||
\(321\) | 11.9729 | + | 16.3290i | 0.668264 | + | 0.911398i | ||||
\(322\) | 10.5981 | − | 10.5981i | 0.590607 | − | 0.590607i | ||||
\(323\) | −19.9981 | − | 2.77734i | −1.11272 | − | 0.154536i | ||||
\(324\) | 7.37238 | − | 5.16217i | 0.409577 | − | 0.286787i | ||||
\(325\) | 17.0656 | − | 1.19186i | 0.946627 | − | 0.0661127i | ||||
\(326\) | −0.328339 | − | 0.902105i | −0.0181850 | − | 0.0499630i | ||||
\(327\) | 16.4793 | − | 14.4519i | 0.911306 | − | 0.799193i | ||||
\(328\) | −8.26506 | + | 5.78726i | −0.456362 | + | 0.319548i | ||||
\(329\) | −0.100044 | − | 0.0364131i | −0.00551562 | − | 0.00200752i | ||||
\(330\) | −1.21217 | + | 2.16427i | −0.0667278 | + | 0.119139i | ||||
\(331\) | −10.9716 | + | 19.0034i | −0.603056 | + | 1.04452i | 0.389300 | + | 0.921111i | \(0.372717\pi\) |
−0.992356 | + | 0.123412i | \(0.960616\pi\) | |||||||
\(332\) | 10.4763 | + | 0.916561i | 0.574964 | + | 0.0503028i | ||||
\(333\) | 3.97045 | + | 2.52946i | 0.217579 | + | 0.138613i | ||||
\(334\) | −10.9326 | − | 6.31195i | −0.598206 | − | 0.345375i | ||||
\(335\) | −14.5570 | + | 8.23515i | −0.795336 | + | 0.449934i | ||||
\(336\) | −2.57088 | + | 3.84759i | −0.140253 | + | 0.209903i | ||||
\(337\) | 8.80754 | + | 12.5785i | 0.479778 | + | 0.685193i | 0.983957 | − | 0.178406i | \(-0.0570939\pi\) |
−0.504180 | + | 0.863599i | \(0.668205\pi\) | |||||||
\(338\) | −1.05986 | − | 0.742123i | −0.0576489 | − | 0.0403662i | ||||
\(339\) | 3.49605 | + | 31.9224i | 0.189880 | + | 1.73379i | ||||
\(340\) | 6.72684 | − | 7.87543i | 0.364814 | − | 0.427105i | ||||
\(341\) | − | 2.96049i | − | 0.160320i | ||||||
\(342\) | −1.04720 | − | 13.0347i | −0.0566262 | − | 0.704836i | ||||
\(343\) | −12.9638 | − | 12.9638i | −0.699977 | − | 0.699977i | ||||
\(344\) | 9.31771 | + | 7.81849i | 0.502377 | + | 0.421544i | ||||
\(345\) | −16.8248 | − | 13.7477i | −0.905819 | − | 0.740151i | ||||
\(346\) | 3.79899 | + | 21.5452i | 0.204235 | + | 1.15828i | ||||
\(347\) | −19.5450 | + | 13.6856i | −1.04923 | + | 0.734679i | −0.965128 | − | 0.261778i | \(-0.915691\pi\) |
−0.0841027 | + | 0.996457i | \(0.526802\pi\) | |||||||
\(348\) | 1.82194 | + | 9.15954i | 0.0976663 | + | 0.491003i | ||||
\(349\) | 20.3045 | − | 11.7228i | 1.08687 | − | 0.627506i | 0.154130 | − | 0.988051i | \(-0.450742\pi\) |
0.932742 | + | 0.360544i | \(0.117409\pi\) | |||||||
\(350\) | 11.4497 | + | 6.88103i | 0.612014 | + | 0.367807i | ||||
\(351\) | 0.387855 | − | 17.7740i | 0.0207022 | − | 0.948707i | ||||
\(352\) | 0.0558223 | − | 0.638052i | 0.00297534 | − | 0.0340083i | ||||
\(353\) | 8.48791 | + | 31.6773i | 0.451766 | + | 1.68601i | 0.697426 | + | 0.716657i | \(0.254329\pi\) |
−0.245660 | + | 0.969356i | \(0.579005\pi\) | |||||||
\(354\) | −0.173669 | − | 0.595833i | −0.00923041 | − | 0.0316682i | ||||
\(355\) | −2.41987 | − | 5.31053i | −0.128433 | − | 0.281853i | ||||
\(356\) | 5.15899 | + | 0.909670i | 0.273426 | + | 0.0482124i | ||||
\(357\) | −14.1324 | − | 16.1149i | −0.747965 | − | 0.852891i | ||||
\(358\) | −5.47341 | − | 2.55229i | −0.289279 | − | 0.134893i | ||||
\(359\) | 6.36513 | + | 5.34098i | 0.335939 | + | 0.281886i | 0.795114 | − | 0.606459i | \(-0.207411\pi\) |
−0.459176 | + | 0.888345i | \(0.651855\pi\) | |||||||
\(360\) | 5.92285 | + | 3.14957i | 0.312162 | + | 0.165997i | ||||
\(361\) | −17.1041 | − | 8.27339i | −0.900217 | − | 0.435441i | ||||
\(362\) | −2.91064 | − | 2.91064i | −0.152980 | − | 0.152980i | ||||
\(363\) | 18.1286 | + | 2.79026i | 0.951502 | + | 0.146451i | ||||
\(364\) | 3.12637 | + | 8.58964i | 0.163866 | + | 0.450219i | ||||
\(365\) | 2.09110 | + | 12.4993i | 0.109453 | + | 0.654241i | ||||
\(366\) | −4.24024 | + | 9.63666i | −0.221641 | + | 0.503716i | ||||
\(367\) | 33.4427 | − | 15.5946i | 1.74569 | − | 0.814030i | 0.759072 | − | 0.651007i | \(-0.225653\pi\) |
0.986622 | − | 0.163023i | \(-0.0521246\pi\) | |||||||
\(368\) | 5.41880 | + | 1.45196i | 0.282475 | + | 0.0756888i | ||||
\(369\) | 25.5289 | − | 16.2637i | 1.32898 | − | 0.846653i | ||||
\(370\) | −0.336466 | + | 3.49276i | −0.0174920 | + | 0.181580i | ||||
\(371\) | −10.0559 | − | 11.9841i | −0.522075 | − | 0.622185i | ||||
\(372\) | −8.00403 | + | 0.174645i | −0.414990 | + | 0.00905491i | ||||
\(373\) | −5.27617 | + | 19.6909i | −0.273190 | + | 1.01956i | 0.683855 | + | 0.729618i | \(0.260302\pi\) |
−0.957045 | + | 0.289940i | \(0.906365\pi\) | |||||||
\(374\) | 2.78777 | + | 1.01467i | 0.144152 | + | 0.0524672i | ||||
\(375\) | 8.26274 | − | 17.5136i | 0.426686 | − | 0.904400i | ||||
\(376\) | −0.00691981 | − | 0.0392442i | −0.000356862 | − | 0.00202387i | ||||
\(377\) | 16.7194 | + | 7.79641i | 0.861095 | + | 0.401535i | ||||
\(378\) | 8.20880 | − | 11.1954i | 0.422215 | − | 0.575827i | ||||
\(379\) | − | 4.35437i | − | 0.223669i | −0.993727 | − | 0.111835i | \(-0.964327\pi\) | ||
0.993727 | − | 0.111835i | \(-0.0356727\pi\) | |||||||
\(380\) | 8.30242 | − | 5.10586i | 0.425905 | − | 0.261925i | ||||
\(381\) | −7.72542 | + | 31.5711i | −0.395785 | + | 1.61744i | ||||
\(382\) | −2.64130 | + | 0.231083i | −0.135140 | + | 0.0118233i | ||||
\(383\) | −3.22520 | + | 6.91647i | −0.164800 | + | 0.353415i | −0.971314 | − | 0.237800i | \(-0.923574\pi\) |
0.806514 | + | 0.591215i | \(0.201352\pi\) | |||||||
\(384\) | −1.72834 | − | 0.113282i | −0.0881991 | − | 0.00578092i | ||||
\(385\) | −0.697450 | + | 3.76220i | −0.0355453 | + | 0.191739i | ||||
\(386\) | −7.30389 | + | 20.0673i | −0.371758 | + | 1.02140i | ||||
\(387\) | −26.9034 | − | 24.6525i | −1.36758 | − | 1.25315i | ||||
\(388\) | −6.13211 | + | 1.64309i | −0.311310 | + | 0.0834154i | ||||
\(389\) | 8.63858 | − | 7.24863i | 0.437993 | − | 0.367520i | −0.396964 | − | 0.917834i | \(-0.629936\pi\) |
0.834958 | + | 0.550314i | \(0.185492\pi\) | |||||||
\(390\) | 11.9355 | − | 5.75637i | 0.604378 | − | 0.291485i | ||||
\(391\) | −12.9924 | + | 22.5035i | −0.657054 | + | 1.13805i | ||||
\(392\) | −0.0356636 | + | 0.133098i | −0.00180128 | + | 0.00672248i | ||||
\(393\) | 0.492480 | + | 2.47587i | 0.0248423 | + | 0.124891i | ||||
\(394\) | −17.9451 | − | 3.16420i | −0.904060 | − | 0.159410i | ||||
\(395\) | −3.75366 | + | 5.26196i | −0.188867 | + | 0.264758i | ||||
\(396\) | −0.250804 | + | 1.90503i | −0.0126034 | + | 0.0957313i | ||||
\(397\) | −37.9063 | + | 3.31637i | −1.90246 | + | 0.166444i | −0.977120 | − | 0.212687i | \(-0.931779\pi\) |
−0.925343 | + | 0.379131i | \(0.876223\pi\) | |||||||
\(398\) | 6.77599 | − | 6.77599i | 0.339650 | − | 0.339650i | ||||
\(399\) | −7.99239 | − | 18.5196i | −0.400120 | − | 0.927140i | ||||
\(400\) | −0.0876925 | + | 4.99923i | −0.00438462 | + | 0.249962i | ||||
\(401\) | 13.0841 | − | 15.5930i | 0.653388 | − | 0.778678i | −0.333032 | − | 0.942915i | \(-0.608072\pi\) |
0.986421 | + | 0.164237i | \(0.0525163\pi\) | |||||||
\(402\) | −8.10892 | + | 10.1035i | −0.404436 | + | 0.503916i | ||||
\(403\) | −9.07089 | + | 12.9546i | −0.451853 | + | 0.645313i | ||||
\(404\) | −0.411619 | + | 2.33441i | −0.0204788 | + | 0.116141i | ||||
\(405\) | −17.3395 | − | 10.2148i | −0.861606 | − | 0.507577i | ||||
\(406\) | 7.20263 | + | 12.4753i | 0.357461 | + | 0.619140i | ||||
\(407\) | −0.970834 | + | 0.260134i | −0.0481225 | + | 0.0128944i | ||||
\(408\) | 2.57882 | − | 7.59693i | 0.127670 | − | 0.376104i | ||||
\(409\) | −6.77781 | − | 8.07747i | −0.335141 | − | 0.399405i | 0.571985 | − | 0.820264i | \(-0.306173\pi\) |
−0.907126 | + | 0.420858i | \(0.861729\pi\) | |||||||
\(410\) | 19.4391 | + | 11.4516i | 0.960028 | + | 0.565555i | ||||
\(411\) | −2.72115 | − | 9.33586i | −0.134224 | − | 0.460504i | ||||
\(412\) | −17.5917 | + | 8.20314i | −0.866680 | + | 0.404140i | ||||
\(413\) | −0.549090 | − | 0.784182i | −0.0270189 | − | 0.0385871i | ||||
\(414\) | −16.0509 | − | 5.06085i | −0.788860 | − | 0.248727i | ||||
\(415\) | −7.84861 | − | 22.1668i | −0.385273 | − | 1.08813i | ||||
\(416\) | −2.19925 | + | 2.62096i | −0.107827 | + | 0.128503i | ||||
\(417\) | 18.4391 | + | 30.3868i | 0.902967 | + | 1.48805i | ||||
\(418\) | 2.20279 | + | 1.71524i | 0.107742 | + | 0.0838950i | ||||
\(419\) | 1.97409 | 0.0964405 | 0.0482202 | − | 0.998837i | \(-0.484645\pi\) | ||||
0.0482202 | + | 0.998837i | \(0.484645\pi\) | |||||||
\(420\) | 10.2127 | + | 1.66370i | 0.498328 | + | 0.0811802i | ||||
\(421\) | −23.9011 | + | 8.69929i | −1.16487 | + | 0.423977i | −0.850834 | − | 0.525435i | \(-0.823903\pi\) |
−0.314034 | + | 0.949412i | \(0.601681\pi\) | |||||||
\(422\) | −8.58201 | + | 12.2564i | −0.417766 | + | 0.596631i | ||||
\(423\) | 0.0156041 | + | 0.118526i | 0.000758700 | + | 0.00576294i | ||||
\(424\) | 2.00273 | − | 5.50245i | 0.0972611 | − | 0.267223i | ||||
\(425\) | −22.2618 | − | 6.38555i | −1.07986 | − | 0.309745i | ||||
\(426\) | −3.26541 | − | 3.12595i | −0.158210 | − | 0.151453i | ||||
\(427\) | −1.41539 | + | 16.1779i | −0.0684954 | + | 0.782906i | ||||
\(428\) | −1.01888 | + | 11.6458i | −0.0492492 | + | 0.562921i | ||||
\(429\) | 2.74180 | + | 2.62470i | 0.132375 | + | 0.126722i | ||||
\(430\) | 7.26953 | − | 26.2087i | 0.350568 | − | 1.26390i | ||||
\(431\) | 3.96164 | − | 10.8845i | 0.190826 | − | 0.524289i | −0.806974 | − | 0.590587i | \(-0.798896\pi\) |
0.997800 | + | 0.0662976i | \(0.0211187\pi\) | |||||||
\(432\) | 5.16527 | + | 0.565696i | 0.248514 | + | 0.0272171i | ||||
\(433\) | −14.7178 | + | 21.0191i | −0.707291 | + | 1.01012i | 0.291279 | + | 0.956638i | \(0.405919\pi\) |
−0.998569 | + | 0.0534773i | \(0.982970\pi\) | |||||||
\(434\) | −11.6043 | + | 4.22362i | −0.557025 | + | 0.202740i | ||||
\(435\) | 16.9483 | − | 12.1999i | 0.812609 | − | 0.584941i | ||||
\(436\) | 12.6547 | 0.606050 | ||||||||
\(437\) | −18.1456 | + | 16.3920i | −0.868023 | + | 0.784135i | ||||
\(438\) | 5.09250 | + | 8.39219i | 0.243329 | + | 0.400994i | ||||
\(439\) | −10.3780 | + | 12.3680i | −0.495316 | + | 0.590295i | −0.954561 | − | 0.298015i | \(-0.903676\pi\) |
0.459245 | + | 0.888310i | \(0.348120\pi\) | |||||||
\(440\) | −1.35005 | + | 0.478013i | −0.0643612 | + | 0.0227884i | ||||
\(441\) | 0.124306 | − | 0.394248i | 0.00591934 | − | 0.0187737i | ||||
\(442\) | −9.08988 | − | 12.9817i | −0.432361 | − | 0.617476i | ||||
\(443\) | 8.13600 | − | 3.79388i | 0.386553 | − | 0.180253i | −0.219620 | − | 0.975586i | \(-0.570482\pi\) |
0.606173 | + | 0.795333i | \(0.292704\pi\) | |||||||
\(444\) | 0.760575 | + | 2.60942i | 0.0360953 | + | 0.123837i | ||||
\(445\) | −2.93242 | − | 11.3408i | −0.139010 | − | 0.537607i | ||||
\(446\) | −10.3544 | − | 12.3398i | −0.490293 | − | 0.584309i | ||||
\(447\) | −3.26544 | + | 9.61965i | −0.154450 | + | 0.454994i | ||||
\(448\) | −2.58063 | + | 0.691478i | −0.121923 | + | 0.0326693i | ||||
\(449\) | −7.20917 | − | 12.4867i | −0.340222 | − | 0.589282i | 0.644252 | − | 0.764813i | \(-0.277169\pi\) |
−0.984474 | + | 0.175532i | \(0.943836\pi\) | |||||||
\(450\) | 0.917031 | − | 14.9719i | 0.0432293 | − | 0.705784i | ||||
\(451\) | −1.12218 | + | 6.36422i | −0.0528415 | + | 0.299679i | ||||
\(452\) | −10.6344 | + | 15.1876i | −0.500202 | + | 0.714363i | ||||
\(453\) | 3.31538 | − | 4.13088i | 0.155770 | − | 0.194086i | ||||
\(454\) | 13.8684 | − | 16.5277i | 0.650874 | − | 0.775682i | ||||
\(455\) | 14.5792 | − | 14.3257i | 0.683485 | − | 0.671601i | ||||
\(456\) | 4.50740 | − | 6.05668i | 0.211078 | − | 0.283630i | ||||
\(457\) | −4.59421 | + | 4.59421i | −0.214908 | + | 0.214908i | −0.806349 | − | 0.591441i | \(-0.798559\pi\) |
0.591441 | + | 0.806349i | \(0.298559\pi\) | |||||||
\(458\) | −1.02140 | + | 0.0893612i | −0.0477270 | + | 0.00417557i | ||||
\(459\) | −8.72322 | + | 22.4316i | −0.407165 | + | 1.04702i | ||||
\(460\) | −2.06986 | − | 12.3723i | −0.0965079 | − | 0.576861i | ||||
\(461\) | 20.5498 | + | 3.62349i | 0.957101 | + | 0.168763i | 0.630318 | − | 0.776337i | \(-0.282924\pi\) |
0.326783 | + | 0.945100i | \(0.394036\pi\) | |||||||
\(462\) | 0.578215 | + | 2.90689i | 0.0269010 | + | 0.135241i | ||||
\(463\) | 1.36734 | − | 5.10297i | 0.0635455 | − | 0.237155i | −0.926847 | − | 0.375439i | \(-0.877492\pi\) |
0.990393 | + | 0.138284i | \(0.0441586\pi\) | |||||||
\(464\) | −2.69593 | + | 4.66949i | −0.125156 | + | 0.216776i | ||||
\(465\) | 7.77666 | + | 16.1245i | 0.360634 | + | 0.747755i | ||||
\(466\) | −7.58199 | + | 6.36205i | −0.351229 | + | 0.294716i | ||||
\(467\) | −32.4321 | + | 8.69016i | −1.50078 | + | 0.402132i | −0.913361 | − | 0.407151i | \(-0.866522\pi\) |
−0.587418 | + | 0.809284i | \(0.699856\pi\) | |||||||
\(468\) | 6.93445 | − | 7.56761i | 0.320545 | − | 0.349813i | ||||
\(469\) | −6.83462 | + | 18.7780i | −0.315594 | + | 0.867086i | ||||
\(470\) | −0.0734371 | + | 0.0504673i | −0.00338740 | + | 0.00232788i | ||||
\(471\) | −19.1617 | − | 1.25594i | −0.882926 | − | 0.0578705i | ||||
\(472\) | 0.151432 | − | 0.324748i | 0.00697024 | − | 0.0149477i | ||||
\(473\) | 7.76089 | − | 0.678990i | 0.356846 | − | 0.0312200i | ||||
\(474\) | −1.19002 | + | 4.86320i | −0.0546594 | + | 0.223374i | ||||
\(475\) | −18.0872 | − | 12.1594i | −0.829899 | − | 0.557914i | ||||
\(476\) | − | 12.3749i | − | 0.567203i | ||||||
\(477\) | −6.72253 | + | 16.2296i | −0.307803 | + | 0.743101i | ||||
\(478\) | 21.9886 | + | 10.2535i | 1.00574 | + | 0.468982i | ||||
\(479\) | −5.36462 | − | 30.4243i | −0.245116 | − | 1.39012i | −0.820224 | − | 0.572043i | \(-0.806151\pi\) |
0.575108 | − | 0.818078i | \(-0.304960\pi\) | |||||||
\(480\) | 1.37201 | + | 3.62182i | 0.0626232 | + | 0.165313i | ||||
\(481\) | 5.04524 | + | 1.83632i | 0.230043 | + | 0.0837289i | ||||
\(482\) | 3.99537 | − | 14.9109i | 0.181984 | − | 0.679174i | ||||
\(483\) | −25.9537 | + | 0.566299i | −1.18093 | + | 0.0257675i | ||||
\(484\) | 6.80698 | + | 8.11224i | 0.309408 | + | 0.368738i | ||||
\(485\) | 9.02898 | + | 10.9540i | 0.409985 | + | 0.497395i | ||||
\(486\) | −15.4070 | − | 2.37140i | −0.698877 | − | 0.107569i | ||||
\(487\) | −30.4246 | − | 8.15225i | −1.37867 | − | 0.369414i | −0.508032 | − | 0.861338i | \(-0.669627\pi\) |
−0.870638 | + | 0.491924i | \(0.836294\pi\) | |||||||
\(488\) | −5.50900 | + | 2.56889i | −0.249381 | + | 0.116288i | ||||
\(489\) | −0.669676 | + | 1.52195i | −0.0302838 | + | 0.0688250i | ||||
\(490\) | 0.303892 | − | 0.0508406i | 0.0137284 | − | 0.00229675i | ||||
\(491\) | −6.17562 | − | 16.9674i | −0.278702 | − | 0.765727i | −0.997510 | − | 0.0705191i | \(-0.977534\pi\) |
0.718809 | − | 0.695208i | \(-0.244688\pi\) | |||||||
\(492\) | 17.2726 | + | 2.65852i | 0.778709 | + | 0.119855i | ||||
\(493\) | −17.6597 | − | 17.6597i | −0.795354 | − | 0.795354i | ||||
\(494\) | −4.38355 | − | 14.2549i | −0.197225 | − | 0.641357i | ||||
\(495\) | 4.10885 | − | 1.25600i | 0.184679 | − | 0.0564532i | ||||
\(496\) | −3.54083 | − | 2.97111i | −0.158988 | − | 0.133407i | ||||
\(497\) | −6.31944 | − | 2.94680i | −0.283466 | − | 0.132182i | ||||
\(498\) | −12.0099 | − | 13.6947i | −0.538176 | − | 0.613673i | ||||
\(499\) | −8.16034 | − | 1.43889i | −0.365307 | − | 0.0644135i | −0.0120182 | − | 0.999928i | \(-0.503826\pi\) |
−0.353289 | + | 0.935514i | \(0.614937\pi\) | |||||||
\(500\) | 10.2536 | − | 4.45683i | 0.458556 | − | 0.199315i | ||||
\(501\) | 6.11852 | + | 20.9917i | 0.273355 | + | 0.937841i | ||||
\(502\) | −3.78208 | − | 14.1149i | −0.168803 | − | 0.629980i | ||||
\(503\) | 1.99659 | − | 22.8211i | 0.0890235 | − | 1.01754i | −0.811967 | − | 0.583704i | \(-0.801603\pi\) |
0.900990 | − | 0.433839i | \(-0.142841\pi\) | |||||||
\(504\) | 7.82501 | − | 1.73476i | 0.348554 | − | 0.0772721i | ||||
\(505\) | 5.13164 | − | 1.32690i | 0.228355 | − | 0.0590461i | ||||
\(506\) | 3.11173 | − | 1.79656i | 0.138333 | − | 0.0798668i | ||||
\(507\) | 0.437200 | + | 2.19796i | 0.0194167 | + | 0.0976147i | ||||
\(508\) | −15.3717 | + | 10.7634i | −0.682009 | + | 0.477548i | ||||
\(509\) | −4.96339 | − | 28.1488i | −0.219998 | − | 1.24767i | −0.872019 | − | 0.489471i | \(-0.837190\pi\) |
0.652021 | − | 0.758201i | \(-0.273921\pi\) | |||||||
\(510\) | −17.8491 | + | 1.79653i | −0.790372 | + | 0.0795515i | ||||
\(511\) | 11.5992 | + | 9.73291i | 0.513120 | + | 0.430559i | ||||
\(512\) | −0.707107 | − | 0.707107i | −0.0312500 | − | 0.0312500i | ||||
\(513\) | −14.3019 | + | 17.5629i | −0.631444 | + | 0.775421i | ||||
\(514\) | − | 26.1872i | − | 1.15507i | ||||||
\(515\) | 33.0025 | + | 28.1892i | 1.45426 | + | 1.24217i | ||||
\(516\) | −2.29356 | − | 20.9424i | −0.100968 | − | 0.921938i | ||||
\(517\) | −0.0209074 | − | 0.0146395i | −0.000919508 | − | 0.000643846i | ||||
\(518\) | 2.40471 | + | 3.43428i | 0.105657 | + | 0.150894i | ||||
\(519\) | 21.0522 | − | 31.5069i | 0.924091 | − | 1.38300i | ||||
\(520\) | 7.37220 | + | 2.04483i | 0.323293 | + | 0.0896719i | ||||
\(521\) | −6.96917 | − | 4.02365i | −0.305325 | − | 0.176279i | 0.339508 | − | 0.940603i | \(-0.389740\pi\) |
−0.644832 | + | 0.764324i | \(0.723073\pi\) | |||||||
\(522\) | 8.69116 | − | 13.6424i | 0.380402 | − | 0.597110i | ||||
\(523\) | −3.20176 | − | 0.280118i | −0.140003 | − | 0.0122487i | 0.0169387 | − | 0.999857i | \(-0.494608\pi\) |
−0.156942 | + | 0.987608i | \(0.550164\pi\) | |||||||
\(524\) | −0.728724 | + | 1.26219i | −0.0318344 | + | 0.0551389i | ||||
\(525\) | −6.08390 | − | 22.3231i | −0.265523 | − | 0.974260i | ||||
\(526\) | 25.8638 | + | 9.41366i | 1.12772 | + | 0.410455i | ||||
\(527\) | 17.5378 | − | 12.2801i | 0.763960 | − | 0.534930i | ||||
\(528\) | −0.834062 | + | 0.731452i | −0.0362979 | + | 0.0318323i | ||||
\(529\) | 2.89746 | + | 7.96071i | 0.125977 | + | 0.346118i | ||||
\(530\) | −13.0532 | + | 1.02674i | −0.566994 | + | 0.0445988i | ||||
\(531\) | −0.496361 | + | 0.953499i | −0.0215402 | + | 0.0413783i | ||||
\(532\) | 3.58062 | − | 11.0814i | 0.155240 | − | 0.480439i | ||||
\(533\) | 24.4103 | − | 24.4103i | 1.05733 | − | 1.05733i | ||||
\(534\) | −5.36524 | − | 7.31726i | −0.232176 | − | 0.316649i | ||||
\(535\) | 24.6413 | − | 8.72474i | 1.06534 | − | 0.377203i | ||||
\(536\) | −7.36601 | + | 1.29883i | −0.318163 | + | 0.0561008i | ||||
\(537\) | 3.79119 | + | 9.74905i | 0.163602 | + | 0.420703i | ||||
\(538\) | 11.8550 | + | 25.4232i | 0.511107 | + | 1.09607i | ||||
\(539\) | 0.0441276 | + | 0.0764313i | 0.00190071 | + | 0.00329213i | ||||
\(540\) | −3.63814 | − | 11.0347i | −0.156561 | − | 0.474857i | ||||
\(541\) | 8.39469 | − | 7.04398i | 0.360916 | − | 0.302844i | −0.444240 | − | 0.895908i | \(-0.646526\pi\) |
0.805156 | + | 0.593064i | \(0.202082\pi\) | |||||||
\(542\) | −22.6873 | − | 1.98489i | −0.974505 | − | 0.0852581i | ||||
\(543\) | 0.155527 | + | 7.12787i | 0.00667432 | + | 0.305886i | ||||
\(544\) | 4.01135 | − | 2.31595i | 0.171985 | − | 0.0992957i | ||||
\(545\) | −11.7334 | − | 25.7495i | −0.502602 | − | 1.10299i | ||||
\(546\) | 6.37650 | − | 14.4917i | 0.272889 | − | 0.620186i | ||||
\(547\) | 29.6063 | + | 20.7306i | 1.26588 | + | 0.886376i | 0.997046 | − | 0.0768117i | \(-0.0244740\pi\) |
0.268830 | + | 0.963188i | \(0.413363\pi\) | |||||||
\(548\) | 2.37273 | − | 5.08833i | 0.101358 | − | 0.217363i | ||||
\(549\) | 16.8474 | − | 6.97842i | 0.719031 | − | 0.297832i | ||||
\(550\) | 2.22441 | + | 2.30384i | 0.0948491 | + | 0.0982360i | ||||
\(551\) | −10.7040 | − | 20.9236i | −0.456008 | − | 0.891374i | ||||
\(552\) | −5.04078 | − | 8.30695i | −0.214550 | − | 0.353567i | ||||
\(553\) | 0.673081 | + | 7.69335i | 0.0286223 | + | 0.327155i | ||||
\(554\) | −6.82621 | + | 2.48454i | −0.290018 | + | 0.105558i | ||||
\(555\) | 4.60438 | − | 3.96704i | 0.195445 | − | 0.168391i | ||||
\(556\) | −3.56346 | + | 20.2094i | −0.151125 | + | 0.857070i | ||||
\(557\) | −0.642872 | − | 1.37864i | −0.0272394 | − | 0.0584150i | 0.892217 | − | 0.451606i | \(-0.149149\pi\) |
−0.919457 | + | 0.393191i | \(0.871371\pi\) | |||||||
\(558\) | 10.2236 | + | 9.36821i | 0.432799 | + | 0.396588i | ||||
\(559\) | −36.0407 | − | 20.8081i | −1.52436 | − | 0.880088i | ||||
\(560\) | 3.79975 | + | 4.60987i | 0.160569 | + | 0.194802i | ||||
\(561\) | −2.27268 | − | 4.60854i | −0.0959525 | − | 0.194573i | ||||
\(562\) | −2.31402 | − | 8.63603i | −0.0976109 | − | 0.364289i | ||||
\(563\) | 8.28769 | + | 2.22068i | 0.349285 | + | 0.0935905i | 0.429196 | − | 0.903211i | \(-0.358797\pi\) |
−0.0799112 | + | 0.996802i | \(0.525464\pi\) | |||||||
\(564\) | −0.0383464 | + | 0.0573893i | −0.00161467 | + | 0.00241653i | ||||
\(565\) | 40.7635 | + | 7.55688i | 1.71493 | + | 0.317920i | ||||
\(566\) | 15.6780 | − | 2.76446i | 0.658997 | − | 0.116199i | ||||
\(567\) | −23.6797 | + | 4.17532i | −0.994454 | + | 0.175347i | ||||
\(568\) | −0.227466 | − | 2.59995i | −0.00954428 | − | 0.109092i | ||||
\(569\) | 47.0679 | 1.97319 | 0.986594 | − | 0.163194i | \(-0.0521795\pi\) | ||||
0.986594 | + | 0.163194i | \(0.0521795\pi\) | |||||||
\(570\) | −16.5032 | − | 3.55582i | −0.691244 | − | 0.148937i | ||||
\(571\) | −8.47732 | −0.354765 | −0.177382 | − | 0.984142i | \(-0.556763\pi\) | ||||
−0.177382 | + | 0.984142i | \(0.556763\pi\) | |||||||
\(572\) | 0.190992 | + | 2.18305i | 0.00798577 | + | 0.0912778i | ||||
\(573\) | 3.58149 | + | 2.87445i | 0.149619 | + | 0.120082i | ||||
\(574\) | 26.5470 | − | 4.68095i | 1.10805 | − | 0.195379i | ||||
\(575\) | −23.2557 | + | 15.6832i | −0.969829 | + | 0.654036i | ||||
\(576\) | 2.02677 | + | 2.21183i | 0.0844487 | + | 0.0921597i | ||||
\(577\) | −22.3438 | − | 5.98701i | −0.930186 | − | 0.249243i | −0.238252 | − | 0.971203i | \(-0.576574\pi\) |
−0.691934 | + | 0.721961i | \(0.743241\pi\) | |||||||
\(578\) | 1.15292 | + | 4.30277i | 0.0479553 | + | 0.178972i | ||||
\(579\) | 33.1737 | − | 16.3594i | 1.37865 | − | 0.679875i | ||||
\(580\) | 12.0010 | + | 1.15609i | 0.498315 | + | 0.0480040i | ||||
\(581\) | −24.3320 | − | 14.0481i | −1.00946 | − | 0.582813i | ||||
\(582\) | 9.64030 | + | 5.28886i | 0.399603 | + | 0.219230i | ||||
\(583\) | −1.58501 | − | 3.39906i | −0.0656442 | − | 0.140774i | ||||
\(584\) | −0.984155 | + | 5.58142i | −0.0407246 | + | 0.230961i | ||||
\(585\) | −21.8280 | − | 7.09340i | −0.902476 | − | 0.293276i | ||||
\(586\) | −7.53695 | + | 2.74323i | −0.311349 | + | 0.113322i | ||||
\(587\) | 3.78213 | + | 43.2300i | 0.156105 | + | 1.78429i | 0.521312 | + | 0.853366i | \(0.325443\pi\) |
−0.365207 | + | 0.930926i | \(0.619002\pi\) | |||||||
\(588\) | 0.204038 | − | 0.123813i | 0.00841438 | − | 0.00510596i | ||||
\(589\) | 19.2579 | − | 5.92203i | 0.793506 | − | 0.244013i | ||||
\(590\) | −0.801195 | − | 0.00702642i | −0.0329847 | − | 0.000289273i | ||||
\(591\) | 18.6625 | + | 25.4524i | 0.767671 | + | 1.04697i | ||||
\(592\) | −0.663189 | + | 1.42221i | −0.0272569 | + | 0.0584526i | ||||
\(593\) | 4.72463 | + | 3.30822i | 0.194017 | + | 0.135852i | 0.666549 | − | 0.745461i | \(-0.267771\pi\) |
−0.472532 | + | 0.881314i | \(0.656660\pi\) | |||||||
\(594\) | 2.59552 | − | 2.08312i | 0.106496 | − | 0.0854715i | ||||
\(595\) | −25.1801 | + | 11.4739i | −1.03229 | + | 0.470386i | ||||
\(596\) | −5.07939 | + | 2.93259i | −0.208060 | + | 0.120123i | ||||
\(597\) | −16.5938 | + | 0.362069i | −0.679137 | + | 0.0148185i | ||||
\(598\) | −19.1210 | − | 1.67287i | −0.781916 | − | 0.0684088i | ||||
\(599\) | −33.4075 | + | 28.0322i | −1.36499 | + | 1.14536i | −0.390587 | + | 0.920566i | \(0.627728\pi\) |
−0.974405 | + | 0.224798i | \(0.927828\pi\) | |||||||
\(600\) | 6.09748 | − | 6.14986i | 0.248929 | − | 0.251067i | ||||
\(601\) | −0.843679 | − | 1.46130i | −0.0344144 | − | 0.0596075i | 0.848305 | − | 0.529508i | \(-0.177623\pi\) |
−0.882720 | + | 0.469900i | \(0.844290\pi\) | |||||||
\(602\) | −13.7336 | − | 29.4519i | −0.559741 | − | 1.20037i | ||||
\(603\) | 22.2470 | − | 2.92885i | 0.905966 | − | 0.119272i | ||||
\(604\) | 3.01164 | − | 0.531033i | 0.122542 | − | 0.0216074i | ||||
\(605\) | 10.1952 | − | 21.3723i | 0.414493 | − | 0.868907i | ||||
\(606\) | 3.31101 | − | 2.42773i | 0.134501 | − | 0.0986198i | ||||
\(607\) | 11.1885 | − | 11.1885i | 0.454127 | − | 0.454127i | −0.442595 | − | 0.896722i | \(-0.645942\pi\) |
0.896722 | + | 0.442595i | \(0.145942\pi\) | |||||||
\(608\) | 4.26217 | − | 0.913208i | 0.172854 | − | 0.0370355i | ||||
\(609\) | 5.93043 | − | 24.2356i | 0.240313 | − | 0.982076i | ||||
\(610\) | 10.3350 | + | 8.82772i | 0.418453 | + | 0.357424i | ||||
\(611\) | 0.0466319 | + | 0.128120i | 0.00188652 | + | 0.00518318i | ||||
\(612\) | −12.3257 | + | 6.41632i | −0.498235 | + | 0.259364i | ||||
\(613\) | 36.6074 | − | 25.6328i | 1.47856 | − | 1.03530i | 0.492236 | − | 0.870462i | \(-0.336180\pi\) |
0.986321 | − | 0.164835i | \(-0.0527093\pi\) | |||||||
\(614\) | 6.09957 | + | 2.22006i | 0.246159 | + | 0.0895944i | ||||
\(615\) | −10.6056 | − | 37.6108i | −0.427658 | − | 1.51662i | ||||
\(616\) | −0.855587 | + | 1.48192i | −0.0344726 | + | 0.0597082i | ||||
\(617\) | −23.1611 | − | 2.02634i | −0.932433 | − | 0.0815773i | −0.389194 | − | 0.921156i | \(-0.627246\pi\) |
−0.543238 | + | 0.839578i | \(0.682802\pi\) | |||||||
\(618\) | 31.8354 | + | 10.8067i | 1.28061 | + | 0.434708i | ||||
\(619\) | 17.0986 | + | 9.87187i | 0.687250 | + | 0.396784i | 0.802581 | − | 0.596543i | \(-0.203460\pi\) |
−0.115331 | + | 0.993327i | \(0.536793\pi\) | |||||||
\(620\) | −2.76250 | + | 9.95960i | −0.110945 | + | 0.399987i | ||||
\(621\) | 14.0209 | + | 25.5568i | 0.562638 | + | 1.02556i | ||||
\(622\) | −6.94806 | − | 9.92286i | −0.278592 | − | 0.397870i | ||||
\(623\) | −11.4646 | − | 8.02762i | −0.459321 | − | 0.321620i | ||||
\(624\) | 5.89086 | − | 0.645151i | 0.235823 | − | 0.0258267i | ||||
\(625\) | −18.5757 | − | 16.7315i | −0.743030 | − | 0.669259i | ||||
\(626\) | 0.126141i | 0.00504162i | ||||||||
\(627\) | −0.701661 | − | 4.78441i | −0.0280217 | − | 0.191071i | ||||
\(628\) | −7.83953 | − | 7.83953i | −0.312831 | − | 0.312831i | ||||
\(629\) | −5.56805 | − | 4.67215i | −0.222013 | − | 0.186291i | ||||
\(630\) | −10.7851 | − | 14.3137i | −0.429690 | − | 0.570271i | ||||
\(631\) | −4.07434 | − | 23.1067i | −0.162197 | − | 0.919865i | −0.951908 | − | 0.306385i | \(-0.900880\pi\) |
0.789711 | − | 0.613480i | \(-0.210231\pi\) | |||||||
\(632\) | −2.36785 | + | 1.65799i | −0.0941880 | + | 0.0659511i | ||||
\(633\) | 25.4175 | − | 5.05584i | 1.01025 | − | 0.200951i | ||||
\(634\) | −17.2375 | + | 9.95209i | −0.684589 | + | 0.395248i | ||||
\(635\) | 36.1536 | + | 21.2982i | 1.43471 | + | 0.845193i | ||||
\(636\) | −9.09624 | + | 4.48577i | −0.360690 | + | 0.177872i | ||||
\(637\) | 0.0410896 | − | 0.469656i | 0.00162803 | − | 0.0186084i | ||||
\(638\) | 0.893814 | + | 3.33576i | 0.0353865 | + | 0.132064i | ||||
\(639\) | 0.341517 | + | 7.82220i | 0.0135102 | + | 0.309441i | ||||
\(640\) | −0.783178 | + | 2.09443i | −0.0309578 | + | 0.0827896i | ||||
\(641\) | −0.885068 | − | 0.156061i | −0.0349581 | − | 0.00616405i | 0.156142 | − | 0.987735i | \(-0.450094\pi\) |
−0.191100 | + | 0.981571i | \(0.561205\pi\) | |||||||
\(642\) | 15.2234 | − | 13.3505i | 0.600819 | − | 0.526904i | ||||
\(643\) | 0.656777 | + | 0.306260i | 0.0259008 | + | 0.0120777i | 0.435525 | − | 0.900176i | \(-0.356563\pi\) |
−0.409625 | + | 0.912254i | \(0.634340\pi\) | |||||||
\(644\) | −11.4814 | − | 9.63405i | −0.452431 | − | 0.379635i | ||||
\(645\) | −40.4865 | + | 24.0846i | −1.59416 | + | 0.948329i | ||||
\(646\) | −1.02383 | + | 20.1640i | −0.0402820 | + | 0.793343i | ||||
\(647\) | −12.2160 | − | 12.2160i | −0.480260 | − | 0.480260i | 0.424955 | − | 0.905215i | \(-0.360290\pi\) |
−0.905215 | + | 0.424955i | \(0.860290\pi\) | |||||||
\(648\) | −5.78508 | − | 6.89441i | −0.227259 | − | 0.270838i | ||||
\(649\) | −0.0784935 | − | 0.215659i | −0.00308114 | − | 0.00846536i | ||||
\(650\) | −2.67469 | − | 16.8967i | −0.104910 | − | 0.662745i | ||||
\(651\) | 19.5778 | + | 8.61443i | 0.767313 | + | 0.337626i | ||||
\(652\) | −0.870056 | + | 0.405714i | −0.0340740 | + | 0.0158890i | ||||
\(653\) | −25.0915 | − | 6.72325i | −0.981907 | − | 0.263101i | −0.268060 | − | 0.963402i | \(-0.586382\pi\) |
−0.713848 | + | 0.700301i | \(0.753049\pi\) | |||||||
\(654\) | −15.8332 | − | 15.1570i | −0.619127 | − | 0.592685i | ||||
\(655\) | 3.24393 | + | 0.312496i | 0.126751 | + | 0.0122102i | ||||
\(656\) | 6.48558 | + | 7.72922i | 0.253219 | + | 0.301775i | ||||
\(657\) | 3.68005 | − | 16.5995i | 0.143572 | − | 0.647610i | ||||
\(658\) | −0.0275551 | + | 0.102837i | −0.00107421 | + | 0.00400901i | ||||
\(659\) | 26.3645 | + | 9.59589i | 1.02701 | + | 0.373803i | 0.799944 | − | 0.600075i | \(-0.204863\pi\) |
0.227071 | + | 0.973878i | \(0.427085\pi\) | |||||||
\(660\) | 2.26168 | + | 1.01893i | 0.0880357 | + | 0.0396618i | ||||
\(661\) | 2.70498 | + | 15.3407i | 0.105211 | + | 0.596684i | 0.991136 | + | 0.132854i | \(0.0424141\pi\) |
−0.885924 | + | 0.463830i | \(0.846475\pi\) | |||||||
\(662\) | 19.8874 | + | 9.27363i | 0.772944 | + | 0.360430i | ||||
\(663\) | −4.17566 | + | 27.1296i | −0.162169 | + | 1.05363i | ||||
\(664\) | − | 10.5164i | − | 0.408114i | ||||||
\(665\) | −25.8681 | + | 2.98885i | −1.00312 | + | 0.115902i | ||||
\(666\) | 2.17379 | − | 4.17579i | 0.0842325 | − | 0.161809i | ||||
\(667\) | −30.1330 | + | 2.63630i | −1.16676 | + | 0.102078i | ||||
\(668\) | −5.33509 | + | 11.4411i | −0.206421 | + | 0.442671i | ||||
\(669\) | −1.82481 | + | 27.8410i | −0.0705513 | + | 1.07640i | ||||
\(670\) | 9.47254 | + | 13.7839i | 0.365956 | + | 0.532519i | ||||
\(671\) | −1.33156 | + | 3.65843i | −0.0514043 | + | 0.141232i | ||||
\(672\) | 4.05702 | + | 2.22576i | 0.156503 | + | 0.0858605i | ||||
\(673\) | −28.0156 | + | 7.50676i | −1.07992 | + | 0.289365i | −0.754564 | − | 0.656226i | \(-0.772152\pi\) |
−0.325359 | + | 0.945591i | \(0.605485\pi\) | |||||||
\(674\) | 11.7630 | − | 9.87032i | 0.453093 | − | 0.380190i | ||||
\(675\) | −19.0798 | + | 17.6341i | −0.734382 | + | 0.678736i | ||||
\(676\) | −0.646926 | + | 1.12051i | −0.0248818 | + | 0.0430965i | ||||
\(677\) | 11.7680 | − | 43.9189i | 0.452283 | − | 1.68794i | −0.243673 | − | 0.969857i | \(-0.578352\pi\) |
0.695956 | − | 0.718084i | \(-0.254981\pi\) | |||||||
\(678\) | 31.4962 | − | 6.26497i | 1.20960 | − | 0.240605i | ||||
\(679\) | 16.7032 | + | 2.94522i | 0.641009 | + | 0.113027i | ||||
\(680\) | −8.43175 | − | 6.01485i | −0.323343 | − | 0.230659i | ||||
\(681\) | −37.1475 | + | 4.06829i | −1.42349 | + | 0.155897i | ||||
\(682\) | −2.94922 | + | 0.258024i | −0.112932 | + | 0.00988024i | ||||
\(683\) | 0.498411 | − | 0.498411i | 0.0190712 | − | 0.0190712i | −0.697507 | − | 0.716578i | \(-0.745707\pi\) |
0.716578 | + | 0.697507i | \(0.245707\pi\) | |||||||
\(684\) | −12.8938 | + | 2.17927i | −0.493008 | + | 0.0833263i | ||||
\(685\) | −12.5536 | − | 0.110094i | −0.479648 | − | 0.00420648i | ||||
\(686\) | −11.7846 | + | 14.0443i | −0.449936 | + | 0.536213i | ||||
\(687\) | 1.38498 | + | 1.11157i | 0.0528403 | + | 0.0424089i | ||||
\(688\) | 6.97664 | − | 9.96368i | 0.265982 | − | 0.379862i | ||||
\(689\) | −3.47895 | + | 19.7301i | −0.132537 | + | 0.751656i | ||||
\(690\) | −12.2290 | + | 17.9590i | −0.465550 | + | 0.683688i | ||||
\(691\) | −2.66801 | − | 4.62113i | −0.101496 | − | 0.175796i | 0.810805 | − | 0.585316i | \(-0.199030\pi\) |
−0.912301 | + | 0.409520i | \(0.865696\pi\) | |||||||
\(692\) | 21.1321 | − | 5.66232i | 0.803321 | − | 0.215249i | ||||
\(693\) | 2.75824 | − | 4.32956i | 0.104777 | − | 0.164467i | ||||
\(694\) | 15.3369 | + | 18.2779i | 0.582182 | + | 0.693818i | ||||
\(695\) | 44.4256 | − | 11.4872i | 1.68516 | − | 0.435735i | ||||
\(696\) | 8.96589 | − | 2.61332i | 0.339851 | − | 0.0990575i | ||||
\(697\) | −42.3562 | + | 19.7510i | −1.60436 | + | 0.748123i | ||||
\(698\) | −13.4478 | − | 19.2055i | −0.509008 | − | 0.726938i | ||||
\(699\) | 17.1064 | + | 1.12122i | 0.647024 | + | 0.0424085i | ||||
\(700\) | 5.85694 | − | 12.0059i | 0.221371 | − | 0.453780i | ||||
\(701\) | −30.7542 | + | 36.6514i | −1.16157 | + | 1.38430i | −0.252533 | + | 0.967588i | \(0.581264\pi\) |
−0.909037 | + | 0.416716i | \(0.863181\pi\) | |||||||
\(702\) | −17.7402 | + | 1.16273i | −0.669560 | + | 0.0438843i | ||||
\(703\) | −3.63417 | − | 5.79487i | −0.137065 | − | 0.218558i | ||||
\(704\) | −0.640489 | −0.0241394 | ||||||||
\(705\) | 0.152329 | + | 0.0248151i | 0.00573704 | + | 0.000934592i | ||||
\(706\) | 30.8170 | − | 11.2165i | 1.15981 | − | 0.422137i | ||||
\(707\) | 3.63244 | − | 5.18766i | 0.136612 | − | 0.195102i | ||||
\(708\) | −0.578430 | + | 0.224939i | −0.0217387 | + | 0.00845371i | ||||
\(709\) | −1.38043 | + | 3.79269i | −0.0518430 | + | 0.142437i | −0.962911 | − | 0.269818i | \(-0.913037\pi\) |
0.911068 | + | 0.412255i | \(0.135259\pi\) | |||||||
\(710\) | −5.07941 | + | 2.87350i | −0.190627 | + | 0.107841i | ||||
\(711\) | 7.31375 | − | 4.65936i | 0.274287 | − | 0.174740i | ||||
\(712\) | 0.456572 | − | 5.21864i | 0.0171108 | − | 0.195577i | ||||
\(713\) | 2.25999 | − | 25.8318i | 0.0846374 | − | 0.967410i | ||||
\(714\) | −14.8219 | + | 15.4831i | −0.554695 | + | 0.579441i | ||||
\(715\) | 4.26492 | − | 2.41274i | 0.159499 | − | 0.0902312i | ||||
\(716\) | −2.06554 | + | 5.67503i | −0.0771929 | + | 0.212086i | ||||
\(717\) | −15.2306 | − | 39.1654i | −0.568795 | − | 1.46266i | ||||
\(718\) | 4.76590 | − | 6.80641i | 0.177862 | − | 0.254013i | ||||
\(719\) | −11.1018 | + | 4.04072i | −0.414027 | + | 0.150693i | −0.540631 | − | 0.841260i | \(-0.681814\pi\) |
0.126604 | + | 0.991953i | \(0.459592\pi\) | |||||||
\(720\) | 2.62138 | − | 6.17482i | 0.0976929 | − | 0.230122i | ||||
\(721\) | 51.8578 | 1.93128 | ||||||||
\(722\) | −6.75118 | + | 17.7601i | −0.251253 | + | 0.660963i | ||||
\(723\) | −22.8582 | + | 13.8707i | −0.850107 | + | 0.515857i | ||||
\(724\) | −2.64588 | + | 3.15324i | −0.0983334 | + | 0.117189i | ||||
\(725\) | −8.77491 | − | 25.4913i | −0.325892 | − | 0.946723i | ||||
\(726\) | 1.19963 | − | 18.3028i | 0.0445226 | − | 0.679279i | ||||
\(727\) | −17.9661 | − | 25.6583i | −0.666326 | − | 0.951613i | −0.999960 | − | 0.00890996i | \(-0.997164\pi\) |
0.333634 | − | 0.942703i | \(-0.391725\pi\) | |||||||
\(728\) | 8.28447 | − | 3.86311i | 0.307043 | − | 0.143176i | ||||
\(729\) | 16.4365 | + | 21.4206i | 0.608759 | + | 0.793355i | ||||
\(730\) | 12.2694 | − | 3.17253i | 0.454112 | − | 0.117421i | ||||
\(731\) | 36.2145 | + | 43.1587i | 1.33944 | + | 1.59628i | ||||
\(732\) | 9.96955 | + | 3.38421i | 0.368485 | + | 0.125084i | ||||
\(733\) | 46.8288 | − | 12.5477i | 1.72966 | − | 0.463461i | 0.749555 | − | 0.661942i | \(-0.230268\pi\) |
0.980105 | + | 0.198481i | \(0.0636009\pi\) | |||||||
\(734\) | −18.4500 | − | 31.9563i | −0.681000 | − | 1.17953i | ||||
\(735\) | −0.441114 | − | 0.300372i | −0.0162708 | − | 0.0110794i | ||||
\(736\) | 0.974159 | − | 5.52473i | 0.0359080 | − | 0.203644i | ||||
\(737\) | −2.74779 | + | 3.92426i | −0.101216 | + | 0.144552i | ||||
\(738\) | −18.4268 | − | 24.0143i | −0.678299 | − | 0.883978i | ||||
\(739\) | −16.6962 | + | 19.8977i | −0.614179 | + | 0.731950i | −0.980058 | − | 0.198713i | \(-0.936324\pi\) |
0.365879 | + | 0.930662i | \(0.380768\pi\) | |||||||
\(740\) | 3.50879 | + | 0.0307718i | 0.128986 | + | 0.00113119i | ||||
\(741\) | −11.5890 | + | 23.0856i | −0.425733 | + | 0.848071i | ||||
\(742\) | −11.0621 | + | 11.0621i | −0.406102 | + | 0.406102i | ||||
\(743\) | 18.0514 | − | 1.57929i | 0.662241 | − | 0.0579386i | 0.248920 | − | 0.968524i | \(-0.419924\pi\) |
0.413321 | + | 0.910585i | \(0.364369\pi\) | |||||||
\(744\) | 0.871578 | + | 7.95835i | 0.0319536 | + | 0.291767i | ||||
\(745\) | 10.6767 | + | 7.61634i | 0.391165 | + | 0.279041i | ||||
\(746\) | 20.0758 | + | 3.53991i | 0.735029 | + | 0.129605i | ||||
\(747\) | −1.37618 | + | 31.5191i | −0.0503518 | + | 1.15322i | ||||
\(748\) | 0.767835 | − | 2.86560i | 0.0280748 | − | 0.104777i | ||||
\(749\) | 15.6163 | − | 27.0482i | 0.570606 | − | 0.988318i | ||||
\(750\) | −18.1671 | − | 6.70488i | −0.663370 | − | 0.244828i | ||||
\(751\) | −28.1703 | + | 23.6377i | −1.02795 | + | 0.862552i | −0.990606 | − | 0.136750i | \(-0.956334\pi\) |
−0.0373441 | + | 0.999302i | \(0.511890\pi\) | |||||||
\(752\) | −0.0384918 | + | 0.0103138i | −0.00140365 | + | 0.000376107i | ||||
\(753\) | −12.1739 | + | 22.1901i | −0.443643 | + | 0.808653i | ||||
\(754\) | 6.30954 | − | 17.3353i | 0.229780 | − | 0.631315i | ||||
\(755\) | −3.87291 | − | 5.63564i | −0.140950 | − | 0.205102i | ||||
\(756\) | −11.8682 | − | 7.20182i | −0.431642 | − | 0.261928i | ||||
\(757\) | 7.06515 | − | 15.1513i | 0.256787 | − | 0.550682i | −0.735077 | − | 0.677984i | \(-0.762854\pi\) |
0.991864 | + | 0.127302i | \(0.0406318\pi\) | |||||||
\(758\) | −4.33780 | + | 0.379509i | −0.157556 | + | 0.0137844i | ||||
\(759\) | −6.04511 | − | 1.47923i | −0.219424 | − | 0.0536927i | ||||
\(760\) | −5.81003 | − | 7.82583i | −0.210752 | − | 0.283873i | ||||
\(761\) | 34.6216i | 1.25503i | 0.778604 | + | 0.627515i | \(0.215928\pi\) | ||||
−0.778604 | + | 0.627515i | \(0.784072\pi\) | |||||||
\(762\) | 32.1243 | + | 4.94442i | 1.16374 | + | 0.179117i | ||||
\(763\) | −30.6415 | − | 14.2883i | −1.10930 | − | 0.517273i | ||||
\(764\) | 0.460408 | + | 2.61110i | 0.0166570 | + | 0.0944665i | ||||
\(765\) | 24.4840 | + | 19.1308i | 0.885223 | + | 0.691674i | ||||
\(766\) | 7.17124 | + | 2.61012i | 0.259108 | + | 0.0943074i | ||||
\(767\) | −0.317302 | + | 1.18419i | −0.0114571 | + | 0.0427586i | ||||
\(768\) | 0.0377837 | + | 1.73164i | 0.00136340 | + | 0.0624851i | ||||
\(769\) | 15.5956 | + | 18.5862i | 0.562393 | + | 0.670234i | 0.970051 | − | 0.242901i | \(-0.0780990\pi\) |
−0.407658 | + | 0.913135i | \(0.633655\pi\) | |||||||
\(770\) | 3.80867 | + | 0.366899i | 0.137255 | + | 0.0132221i | ||||
\(771\) | −31.3654 | + | 32.7647i | −1.12960 | + | 1.17999i | ||||
\(772\) | 20.6275 | + | 5.52712i | 0.742399 | + | 0.198925i | ||||
\(773\) | −3.86550 | + | 1.80251i | −0.139032 | + | 0.0648318i | −0.490889 | − | 0.871222i | \(-0.663328\pi\) |
0.351857 | + | 0.936054i | \(0.385550\pi\) | |||||||
\(774\) | −22.2139 | + | 28.9496i | −0.798461 | + | 1.04057i | ||||
\(775\) | 22.8269 | − | 3.61341i | 0.819967 | − | 0.129798i | ||||
\(776\) | 2.17129 | + | 5.96557i | 0.0779447 | + | 0.214151i | ||||
\(777\) | 1.10466 | − | 7.17708i | 0.0396295 | − | 0.257476i | ||||
\(778\) | −7.97395 | − | 7.97395i | −0.285880 | − | 0.285880i | ||||
\(779\) | −43.6437 | + | 5.43093i | −1.56370 | + | 0.194583i | ||||
\(780\) | −6.77471 | − | 11.3884i | −0.242574 | − | 0.407770i | ||||
\(781\) | −1.28052 | − | 1.07449i | −0.0458207 | − | 0.0384481i | ||||
\(782\) | 23.5502 | + | 10.9816i | 0.842154 | + | 0.392703i | ||||
\(783\) | −27.2141 | + | 6.65920i | −0.972551 | + | 0.237980i | ||||
\(784\) | 0.135700 | + | 0.0239276i | 0.00484643 | + | 0.000854556i | ||||
\(785\) | −8.68291 | + | 23.2205i | −0.309907 | + | 0.828774i | ||||
\(786\) | 2.42352 | − | 0.706392i | 0.0864442 | − | 0.0251962i | ||||
\(787\) | 10.8593 | + | 40.5274i | 0.387091 | + | 1.44464i | 0.834844 | + | 0.550487i | \(0.185558\pi\) |
−0.447752 | + | 0.894158i | \(0.647775\pi\) | |||||||
\(788\) | −1.58814 | + | 18.1526i | −0.0565753 | + | 0.646658i | ||||
\(789\) | −21.0850 | − | 42.7561i | −0.750645 | − | 1.52216i | ||||
\(790\) | 5.56909 | + | 3.28077i | 0.198139 | + | 0.116724i | ||||
\(791\) | 42.8979 | − | 24.7671i | 1.52527 | − | 0.880617i | ||||
\(792\) | 1.91964 | + | 0.0838151i | 0.0682114 | + | 0.00297824i | ||||
\(793\) | 17.0360 | − | 11.9288i | 0.604967 | − | 0.423603i | ||||
\(794\) | 6.60751 | + | 37.4730i | 0.234492 | + | 1.32987i | ||||
\(795\) | 17.5615 | + | 14.3496i | 0.622843 | + | 0.508929i | ||||
\(796\) | −7.34077 | − | 6.15964i | −0.260187 | − | 0.218322i | ||||
\(797\) | −7.34380 | − | 7.34380i | −0.260131 | − | 0.260131i | 0.564976 | − | 0.825107i | \(-0.308885\pi\) |
−0.825107 | + | 0.564976i | \(0.808885\pi\) | |||||||
\(798\) | −17.7526 | + | 9.57607i | −0.628434 | + | 0.338989i | ||||
\(799\) | − | 0.184580i | − | 0.00652996i | ||||||
\(800\) | 4.98785 | − | 0.348353i | 0.176347 | − | 0.0123161i | ||||
\(801\) | −2.05133 | + | 15.5813i | −0.0724802 | + | 0.550538i | ||||
\(802\) | −16.6740 | − | 11.6753i | −0.588781 | − | 0.412269i | ||||
\(803\) | 2.08208 | + | 2.97351i | 0.0734749 | + | 0.104933i | ||||
\(804\) | 10.7718 | + | 7.19748i | 0.379892 | + | 0.253836i | ||||
\(805\) | −8.95762 | + | 32.2947i | −0.315715 | + | 1.13824i | ||||
\(806\) | 13.6959 | + | 7.90731i | 0.482416 | + | 0.278523i | ||||
\(807\) | 15.6176 | − | 46.0080i | 0.549766 | − | 1.61956i | ||||
\(808\) | 2.36140 | + | 0.206596i | 0.0830737 | + | 0.00726801i | ||||
\(809\) | 0.625724 | − | 1.08379i | 0.0219993 | − | 0.0381039i | −0.854816 | − | 0.518931i | \(-0.826330\pi\) |
0.876815 | + | 0.480827i | \(0.159664\pi\) | |||||||
\(810\) | −8.66468 | + | 18.1638i | −0.304446 | + | 0.638211i | ||||
\(811\) | −11.3711 | − | 4.13875i | −0.399294 | − | 0.145331i | 0.134565 | − | 0.990905i | \(-0.457036\pi\) |
−0.533859 | + | 0.845574i | \(0.679259\pi\) | |||||||
\(812\) | 11.8001 | − | 8.26252i | 0.414102 | − | 0.289958i | ||||
\(813\) | 26.0084 | + | 29.6569i | 0.912153 | + | 1.04011i | ||||
\(814\) | 0.343758 | + | 0.944467i | 0.0120487 | + | 0.0331036i | ||||
\(815\) | 1.63225 | + | 1.39419i | 0.0571751 | + | 0.0488364i | ||||
\(816\) | −7.79278 | − | 1.90689i | −0.272802 | − | 0.0667543i | ||||
\(817\) | 19.9413 | + | 49.1260i | 0.697658 | + | 1.71870i | ||||
\(818\) | −7.45601 | + | 7.45601i | −0.260693 | + | 0.260693i | ||||
\(819\) | −25.3353 | + | 10.4942i | −0.885286 | + | 0.366697i | ||||
\(820\) | 9.71382 | − | 20.3632i | 0.339221 | − | 0.711113i | ||||
\(821\) | −0.381984 | + | 0.0673541i | −0.0133313 | + | 0.00235067i | −0.180310 | − | 0.983610i | \(-0.557710\pi\) |
0.166979 | + | 0.985961i | \(0.446599\pi\) | |||||||
\(822\) | −9.06317 | + | 3.52447i | −0.316114 | + | 0.122930i | ||||
\(823\) | 16.3503 | + | 35.0634i | 0.569936 | + | 1.22223i | 0.954245 | + | 0.299027i | \(0.0966621\pi\) |
−0.384309 | + | 0.923205i | \(0.625560\pi\) | |||||||
\(824\) | 9.70514 | + | 16.8098i | 0.338095 | + | 0.585597i | ||||
\(825\) | −0.0237222 | − | 5.54675i | −0.000825901 | − | 0.193113i | ||||
\(826\) | −0.733341 | + | 0.615346i | −0.0255162 | + | 0.0214106i | ||||
\(827\) | −10.4711 | − | 0.916098i | −0.364114 | − | 0.0318559i | −0.0963691 | − | 0.995346i | \(-0.530723\pi\) |
−0.267745 | + | 0.963490i | \(0.586278\pi\) | |||||||
\(828\) | −3.64267 | + | 16.4309i | −0.126591 | + | 0.571014i | ||||
\(829\) | 10.6859 | − | 6.16953i | 0.371138 | − | 0.214277i | −0.302817 | − | 0.953049i | \(-0.597927\pi\) |
0.673956 | + | 0.738772i | \(0.264594\pi\) | |||||||
\(830\) | −21.3984 | + | 9.75071i | −0.742750 | + | 0.338452i | ||||
\(831\) | 11.5166 | + | 5.06742i | 0.399505 | + | 0.175787i | ||||
\(832\) | 2.80267 | + | 1.96245i | 0.0971650 | + | 0.0680357i | ||||
\(833\) | −0.269735 | + | 0.578448i | −0.00934575 | + | 0.0200420i | ||||
\(834\) | 28.6640 | − | 21.0173i | 0.992555 | − | 0.727770i | ||||
\(835\) | 28.2268 | + | 0.247547i | 0.976829 | + | 0.00856672i | ||||
\(836\) | 1.51672 | − | 2.34390i | 0.0524570 | − | 0.0810654i | ||||
\(837\) | −1.57081 | − | 23.9664i | −0.0542950 | − | 0.828400i | ||||
\(838\) | −0.172053 | − | 1.96658i | −0.00594347 | − | 0.0679342i | ||||
\(839\) | −1.06300 | + | 0.386900i | −0.0366988 | + | 0.0133573i | −0.360304 | − | 0.932835i | \(-0.617327\pi\) |
0.323606 | + | 0.946192i | \(0.395105\pi\) | |||||||
\(840\) | 0.767273 | − | 10.3188i | 0.0264734 | − | 0.356033i | ||||
\(841\) | 0.0125417 | − | 0.0711274i | 0.000432472 | − | 0.00245267i | ||||
\(842\) | 10.7493 | + | 23.0519i | 0.370445 | + | 0.794423i | ||||
\(843\) | −7.44845 | + | 13.5767i | −0.256538 | + | 0.467607i | ||||
\(844\) | 12.9577 | + | 7.48114i | 0.446023 | + | 0.257511i | ||||
\(845\) | 2.87981 | + | 0.277419i | 0.0990684 | + | 0.00954351i | ||||
\(846\) | 0.116715 | − | 0.0258750i | 0.00401275 | − | 0.000889601i | ||||
\(847\) | −7.32259 | − | 27.3283i | −0.251607 | − | 0.939011i | ||||
\(848\) | −5.65606 | − | 1.51554i | −0.194230 | − | 0.0520438i | ||||
\(849\) | −22.9270 | − | 15.3193i | −0.786852 | − | 0.525758i | ||||
\(850\) | −4.42100 | + | 22.7336i | −0.151639 | + | 0.779758i | ||||
\(851\) | −8.66962 | + | 1.52869i | −0.297191 | + | 0.0524028i | ||||
\(852\) | −2.82946 | + | 3.52543i | −0.0969356 | + | 0.120779i | ||||
\(853\) | 1.73090 | + | 19.7843i | 0.0592648 | + | 0.677400i | 0.966481 | + | 0.256736i | \(0.0826472\pi\) |
−0.907217 | + | 0.420664i | \(0.861797\pi\) | |||||||
\(854\) | 16.2397 | 0.555712 | ||||||||
\(855\) | 16.3894 | + | 24.2154i | 0.560506 | + | 0.828150i | ||||
\(856\) | 11.6903 | 0.399566 | ||||||||
\(857\) | −2.16328 | − | 24.7264i | −0.0738962 | − | 0.844637i | −0.939196 | − | 0.343382i | \(-0.888427\pi\) |
0.865300 | − | 0.501255i | \(-0.167128\pi\) | |||||||
\(858\) | 2.37575 | − | 2.96012i | 0.0811068 | − | 0.101057i | ||||
\(859\) | −31.9656 | + | 5.63640i | −1.09065 | + | 0.192311i | −0.689921 | − | 0.723884i | \(-0.742355\pi\) |
−0.400731 | + | 0.916196i | \(0.631244\pi\) | |||||||
\(860\) | −26.7425 | − | 4.95763i | −0.911913 | − | 0.169054i | ||||
\(861\) | −38.8213 | − | 25.9396i | −1.32303 | − | 0.884019i | ||||
\(862\) | −11.1884 | − | 2.99792i | −0.381078 | − | 0.102110i | ||||
\(863\) | 5.47510 | + | 20.4334i | 0.186375 | + | 0.695560i | 0.994332 | + | 0.106319i | \(0.0339065\pi\) |
−0.807957 | + | 0.589241i | \(0.799427\pi\) | |||||||
\(864\) | 0.113361 | − | 5.19492i | 0.00385661 | − | 0.176735i | ||||
\(865\) | −31.1151 | − | 37.7489i | −1.05795 | − | 1.28350i | ||||
\(866\) | 22.2219 | + | 12.8298i | 0.755131 | + | 0.435975i | ||||
\(867\) | 3.71108 | − | 6.76440i | 0.126035 | − | 0.229731i | ||||
\(868\) | 5.21893 | + | 11.1920i | 0.177142 | + | 0.379883i | ||||
\(869\) | −0.321493 | + | 1.82328i | −0.0109059 | + | 0.0618505i | ||||
\(870\) | −13.6306 | − | 15.8205i | −0.462122 | − | 0.536366i | ||||
\(871\) | 24.0477 | − | 8.75265i | 0.814825 | − | 0.296572i | ||||
\(872\) | −1.10293 | − | 12.6065i | −0.0373499 | − | 0.426911i | ||||
\(873\) | −5.72701 | − | 18.1638i | −0.193830 | − | 0.614752i | ||||
\(874\) | 17.9111 | + | 16.6479i | 0.605852 | + | 0.563124i | ||||
\(875\) | −29.8598 | − | 0.785765i | −1.00944 | − | 0.0265637i | ||||
\(876\) | 7.91642 | − | 5.80455i | 0.267471 | − | 0.196118i | ||||
\(877\) | 9.33254 | − | 20.0137i | 0.315138 | − | 0.675815i | −0.683390 | − | 0.730053i | \(-0.739495\pi\) |
0.998528 | + | 0.0542384i | \(0.0172731\pi\) | |||||||
\(878\) | 13.2255 | + | 9.26059i | 0.446339 | + | 0.312530i | ||||
\(879\) | 12.7157 | + | 5.59504i | 0.428889 | + | 0.188716i | ||||
\(880\) | 0.593858 | + | 1.30325i | 0.0200190 | + | 0.0439326i | ||||
\(881\) | −9.07149 | + | 5.23743i | −0.305626 | + | 0.176453i | −0.644968 | − | 0.764210i | \(-0.723129\pi\) |
0.339341 | + | 0.940663i | \(0.389796\pi\) | |||||||
\(882\) | −0.403581 | − | 0.0894723i | −0.0135893 | − | 0.00301269i | ||||
\(883\) | 26.3514 | + | 2.30545i | 0.886796 | + | 0.0775846i | 0.521445 | − | 0.853285i | \(-0.325393\pi\) |
0.365351 | + | 0.930870i | \(0.380949\pi\) | |||||||
\(884\) | −12.1401 | + | 10.1867i | −0.408314 | + | 0.342616i | ||||
\(885\) | 0.994016 | + | 0.968412i | 0.0334135 | + | 0.0325528i | ||||
\(886\) | −4.48854 | − | 7.77438i | −0.150795 | − | 0.261185i | ||||
\(887\) | 10.1845 | + | 21.8408i | 0.341963 | + | 0.733342i | 0.999804 | − | 0.0198153i | \(-0.00630782\pi\) |
−0.657841 | + | 0.753157i | \(0.728530\pi\) | |||||||
\(888\) | 2.53320 | − | 0.985106i | 0.0850086 | − | 0.0330580i | ||||
\(889\) | 49.3731 | − | 8.70582i | 1.65592 | − | 0.291984i | ||||
\(890\) | −11.0421 | + | 3.90968i | −0.370132 | + | 0.131053i | ||||
\(891\) | −5.74247 | − | 0.502412i | −0.192380 | − | 0.0168314i | ||||
\(892\) | −11.3904 | + | 11.3904i | −0.381380 | + | 0.381380i | ||||
\(893\) | 0.0534073 | − | 0.165286i | 0.00178721 | − | 0.00553109i | ||||
\(894\) | 9.86765 | + | 2.41460i | 0.330024 | + | 0.0807564i | ||||
\(895\) | 13.4626 | − | 1.05894i | 0.450004 | − | 0.0353966i | ||||
\(896\) | 0.913763 | + | 2.51054i | 0.0305267 | + | 0.0838714i | ||||
\(897\) | 21.9200 | + | 24.9950i | 0.731887 | + | 0.834558i | ||||
\(898\) | −11.8108 | + | 8.27002i | −0.394132 | + | 0.275974i | ||||
\(899\) | 23.4194 | + | 8.52398i | 0.781082 | + | 0.284291i | ||||
\(900\) | −14.9949 | + | 0.391349i | −0.499830 | + | 0.0130450i | ||||
\(901\) | 13.5613 | − | 23.4888i | 0.451791 | − | 0.782526i | ||||
\(902\) | 6.43780 | + | 0.563235i | 0.214355 | + | 0.0187537i | ||||
\(903\) | −18.0925 | + | 53.2986i | −0.602079 | + | 1.77367i | ||||
\(904\) | 16.0566 | + | 9.27029i | 0.534035 | + | 0.308325i | ||||
\(905\) | 8.86938 | + | 2.46011i | 0.294828 | + | 0.0817767i | ||||
\(906\) | −4.40411 | − | 2.94274i | −0.146317 | − | 0.0977659i | ||||
\(907\) | −10.2951 | − | 14.7029i | −0.341842 | − | 0.488200i | 0.611016 | − | 0.791618i | \(-0.290761\pi\) |
−0.952858 | + | 0.303418i | \(0.901872\pi\) | |||||||
\(908\) | −17.6735 | − | 12.3751i | −0.586515 | − | 0.410682i | ||||
\(909\) | −7.05041 | − | 0.928211i | −0.233847 | − | 0.0307868i | ||||
\(910\) | −15.5419 | − | 13.2752i | −0.515208 | − | 0.440068i | ||||
\(911\) | 3.33904i | 0.110627i | 0.998469 | + | 0.0553137i | \(0.0176159\pi\) | ||||
−0.998469 | + | 0.0553137i | \(0.982384\pi\) | |||||||
\(912\) | −6.42648 | − | 3.96237i | −0.212802 | − | 0.131207i | ||||
\(913\) | −4.76280 | − | 4.76280i | −0.157626 | − | 0.157626i | ||||
\(914\) | 4.97714 | + | 4.17632i | 0.164629 | + | 0.138140i | ||||
\(915\) | −2.35760 | − | 23.4236i | −0.0779400 | − | 0.774361i | ||||
\(916\) | 0.178042 | + | 1.00973i | 0.00588268 | + | 0.0333623i | ||||
\(917\) | 3.18962 | − | 2.23340i | 0.105331 | − | 0.0737533i | ||||
\(918\) | 23.1066 | + | 6.73498i | 0.762630 | + | 0.222288i | ||||
\(919\) | 5.64552 | − | 3.25944i | 0.186229 | − | 0.107519i | −0.403987 | − | 0.914765i | \(-0.632376\pi\) |
0.590216 | + | 0.807245i | \(0.299043\pi\) | |||||||
\(920\) | −12.1448 | + | 3.14031i | −0.400403 | + | 0.103533i | ||||
\(921\) | −4.97255 | − | 10.0834i | −0.163851 | − | 0.332258i | ||||
\(922\) | 1.81866 | − | 20.7874i | 0.0598945 | − | 0.684598i | ||||
\(923\) | 2.31113 | + | 8.62525i | 0.0760718 | + | 0.283904i | ||||
\(924\) | 2.84543 | − | 0.829367i | 0.0936079 | − | 0.0272842i | ||||
\(925\) | −3.19072 | − | 7.16813i | −0.104910 | − | 0.235687i | ||||
\(926\) | −5.20272 | − | 0.917381i | −0.170972 | − | 0.0301470i | ||||
\(927\) | −26.8880 | − | 51.6514i | −0.883116 | − | 1.69645i | ||||
\(928\) | 4.88669 | + | 2.27870i | 0.160413 | + | 0.0748020i | ||||
\(929\) | −30.2037 | − | 25.3439i | −0.990952 | − | 0.831508i | −0.00524707 | − | 0.999986i | \(-0.501670\pi\) |
−0.985705 | + | 0.168478i | \(0.946115\pi\) | |||||||
\(930\) | 15.3853 | − | 9.15241i | 0.504505 | − | 0.300119i | ||||
\(931\) | −0.408911 | + | 0.439938i | −0.0134015 | + | 0.0144184i | ||||
\(932\) | 6.99865 | + | 6.99865i | 0.229248 | + | 0.229248i | ||||
\(933\) | −3.19176 | + | 20.7371i | −0.104493 | + | 0.678903i | ||||
\(934\) | 11.4837 | + | 31.5513i | 0.375759 | + | 1.03239i | ||||
\(935\) | −6.54278 | + | 1.09460i | −0.213972 | + | 0.0357971i | ||||
\(936\) | −8.14319 | − | 6.24850i | −0.266169 | − | 0.204239i | ||||
\(937\) | 15.2642 | − | 7.11783i | 0.498661 | − | 0.232529i | −0.156981 | − | 0.987602i | \(-0.550176\pi\) |
0.655642 | + | 0.755072i | \(0.272398\pi\) | |||||||
\(938\) | 19.3022 | + | 5.17201i | 0.630239 | + | 0.168872i | ||||
\(939\) | 0.151084 | − | 0.157824i | 0.00493044 | − | 0.00515040i | ||||
\(940\) | 0.0566757 | + | 0.0687592i | 0.00184856 | + | 0.00224268i | ||||
\(941\) | −11.8494 | − | 14.1216i | −0.386281 | − | 0.460352i | 0.537505 | − | 0.843260i | \(-0.319367\pi\) |
−0.923786 | + | 0.382909i | \(0.874922\pi\) | |||||||
\(942\) | 0.418899 | + | 19.1983i | 0.0136485 | + | 0.625514i | ||||
\(943\) | −14.6500 | + | 54.6745i | −0.477069 | + | 1.78045i | ||||
\(944\) | −0.336710 | − | 0.122552i | −0.0109590 | − | 0.00398874i | ||||
\(945\) | −3.64996 | + | 30.8266i | −0.118733 | + | 1.00279i | ||||
\(946\) | −1.35281 | − | 7.67218i | −0.0439837 | − | 0.249444i | ||||
\(947\) | 12.1064 | + | 5.64531i | 0.393406 | + | 0.183448i | 0.609247 | − | 0.792980i | \(-0.291472\pi\) |
−0.215842 | + | 0.976428i | \(0.569249\pi\) | |||||||
\(948\) | 4.94841 | + | 0.761636i | 0.160717 | + | 0.0247368i | ||||
\(949\) | − | 19.3910i | − | 0.629459i | ||||||
\(950\) | −10.5368 | + | 19.0782i | −0.341858 | + | 0.618978i | ||||
\(951\) | 33.4871 | + | 8.19425i | 1.08589 | + | 0.265717i | ||||
\(952\) | −12.3278 | + | 1.07854i | −0.399547 | + | 0.0349558i | ||||
\(953\) | −8.42896 | + | 18.0760i | −0.273041 | + | 0.585538i | −0.994238 | − | 0.107192i | \(-0.965814\pi\) |
0.721198 | + | 0.692729i | \(0.243592\pi\) | |||||||
\(954\) | 16.7537 | + | 5.28244i | 0.542422 | + | 0.171025i | ||||
\(955\) | 4.88612 | − | 3.35783i | 0.158111 | − | 0.108657i | ||||
\(956\) | 8.29800 | − | 22.7986i | 0.268377 | − | 0.737358i | ||||
\(957\) | 2.87705 | − | 5.24416i | 0.0930017 | − | 0.169520i | ||||
\(958\) | −29.8409 | + | 7.99586i | −0.964117 | + | 0.258334i | ||||
\(959\) | −11.4904 | + | 9.64160i | −0.371045 | + | 0.311344i | ||||
\(960\) | 3.48846 | − | 1.68245i | 0.112590 | − | 0.0543008i | ||||
\(961\) | 4.81749 | − | 8.34415i | 0.155403 | − | 0.269166i | ||||
\(962\) | 1.38961 | − | 5.18609i | 0.0448028 | − | 0.167206i | ||||
\(963\) | −35.0375 | − | 1.52980i | −1.12907 | − | 0.0492972i | ||||
\(964\) | −15.2024 | − | 2.68059i | −0.489636 | − | 0.0863361i | ||||
\(965\) | −7.87925 | − | 47.0970i | −0.253642 | − | 1.51611i | ||||
\(966\) | 2.82616 | + | 25.8056i | 0.0909301 | + | 0.830280i | ||||
\(967\) | 17.5853 | − | 1.53851i | 0.565505 | − | 0.0494753i | 0.199181 | − | 0.979963i | \(-0.436172\pi\) |
0.366324 | + | 0.930487i | \(0.380616\pi\) | |||||||
\(968\) | 7.48810 | − | 7.48810i | 0.240677 | − | 0.240677i | ||||
\(969\) | 25.4322 | − | 24.0024i | 0.816999 | − | 0.771067i | ||||
\(970\) | 10.1254 | − | 9.94932i | 0.325106 | − | 0.319454i | ||||
\(971\) | 30.2197 | − | 36.0144i | 0.969795 | − | 1.15576i | −0.0179745 | − | 0.999838i | \(-0.505722\pi\) |
0.987770 | − | 0.155919i | \(-0.0498338\pi\) | |||||||
\(972\) | −1.01957 | + | 15.5551i | −0.0327027 | + | 0.498929i | ||||
\(973\) | 31.4467 | − | 44.9106i | 1.00814 | − | 1.43977i | ||||
\(974\) | −5.46955 | + | 31.0193i | −0.175256 | + | 0.993924i | ||||
\(975\) | −16.8913 | + | 24.3443i | −0.540956 | + | 0.779641i | ||||
\(976\) | 3.03925 | + | 5.26414i | 0.0972842 | + | 0.168501i | ||||
\(977\) | 38.9346 | − | 10.4325i | 1.24563 | − | 0.333765i | 0.424983 | − | 0.905202i | \(-0.360280\pi\) |
0.820646 | + | 0.571436i | \(0.193614\pi\) | |||||||
\(978\) | 1.57453 | + | 0.534480i | 0.0503478 | + | 0.0170908i | ||||
\(979\) | −2.15672 | − | 2.57027i | −0.0689289 | − | 0.0821463i | ||||
\(980\) | −0.0771331 | − | 0.298305i | −0.00246393 | − | 0.00952899i | ||||
\(981\) | 1.65594 | + | 37.9280i | 0.0528699 | + | 1.21095i | ||||
\(982\) | −16.3646 | + | 7.63093i | −0.522215 | + | 0.243513i | ||||
\(983\) | −6.49266 | − | 9.27248i | −0.207084 | − | 0.295746i | 0.702153 | − | 0.712026i | \(-0.252222\pi\) |
−0.909236 | + | 0.416280i | \(0.863333\pi\) | |||||||
\(984\) | 1.14299 | − | 17.4386i | 0.0364373 | − | 0.555922i | ||||
\(985\) | 38.4089 | − | 13.5994i | 1.22381 | − | 0.433314i | ||||
\(986\) | −16.0534 | + | 19.1317i | −0.511244 | + | 0.609276i | ||||
\(987\) | 0.157648 | − | 0.0956630i | 0.00501799 | − | 0.00304499i | ||||
\(988\) | −13.8186 | + | 5.60926i | −0.439627 | + | 0.178454i | ||||
\(989\) | 68.2362 | 2.16978 | ||||||||
\(990\) | −1.60933 | − | 3.98375i | −0.0511480 | − | 0.126612i | ||||
\(991\) | 40.4444 | − | 14.7206i | 1.28476 | − | 0.467614i | 0.392756 | − | 0.919643i | \(-0.371522\pi\) |
0.892003 | + | 0.452028i | \(0.149299\pi\) | |||||||
\(992\) | −2.65120 | + | 3.78631i | −0.0841758 | + | 0.120215i | ||||
\(993\) | −13.7751 | − | 35.4227i | −0.437140 | − | 1.12411i | ||||
\(994\) | −2.38482 | + | 6.55223i | −0.0756418 | + | 0.207824i | ||||
\(995\) | −5.72715 | + | 20.6480i | −0.181563 | + | 0.654585i | ||||
\(996\) | −12.5958 | + | 13.1578i | −0.399114 | + | 0.416920i | ||||
\(997\) | −1.52383 | + | 17.4174i | −0.0482600 | + | 0.551615i | 0.933123 | + | 0.359556i | \(0.117072\pi\) |
−0.981383 | + | 0.192059i | \(0.938484\pi\) | |||||||
\(998\) | −0.722192 | + | 8.25470i | −0.0228606 | + | 0.261298i | ||||
\(999\) | −7.72128 | + | 2.62101i | −0.244290 | + | 0.0829250i |
(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.bi.a.263.5 | ✓ | 480 | |
3.2 | odd | 2 | inner | 570.2.bi.a.263.30 | yes | 480 | |
5.2 | odd | 4 | inner | 570.2.bi.a.377.36 | yes | 480 | |
15.2 | even | 4 | inner | 570.2.bi.a.377.1 | yes | 480 | |
19.6 | even | 9 | inner | 570.2.bi.a.443.1 | yes | 480 | |
57.44 | odd | 18 | inner | 570.2.bi.a.443.36 | yes | 480 | |
95.82 | odd | 36 | inner | 570.2.bi.a.557.30 | yes | 480 | |
285.272 | even | 36 | inner | 570.2.bi.a.557.5 | yes | 480 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
570.2.bi.a.263.5 | ✓ | 480 | 1.1 | even | 1 | trivial | |
570.2.bi.a.263.30 | yes | 480 | 3.2 | odd | 2 | inner | |
570.2.bi.a.377.1 | yes | 480 | 15.2 | even | 4 | inner | |
570.2.bi.a.377.36 | yes | 480 | 5.2 | odd | 4 | inner | |
570.2.bi.a.443.1 | yes | 480 | 19.6 | even | 9 | inner | |
570.2.bi.a.443.36 | yes | 480 | 57.44 | odd | 18 | inner | |
570.2.bi.a.557.5 | yes | 480 | 285.272 | even | 36 | inner | |
570.2.bi.a.557.30 | yes | 480 | 95.82 | odd | 36 | inner |