Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [288,2,Mod(13,288)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(288, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 21, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("288.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 288 = 2^{5} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 288.bc (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29969157821\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 13.14 | ||
Character | \(\chi\) | \(=\) | 288.13 |
Dual form | 288.2.bc.a.133.14 |
$q$-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 \(\left(\mathbb{Z}/288\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{7}{8}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.897888 | + | 1.09261i | −0.634902 | + | 0.772592i | ||||
\(3\) | −0.186796 | − | 1.72195i | −0.107847 | − | 0.994168i | ||||
\(4\) | −0.387596 | − | 1.96208i | −0.193798 | − | 0.981041i | ||||
\(5\) | −0.364708 | + | 2.77023i | −0.163102 | + | 1.23889i | 0.692563 | + | 0.721357i | \(0.256481\pi\) |
−0.855666 | + | 0.517529i | \(0.826852\pi\) | |||||||
\(6\) | 2.04914 | + | 1.34202i | 0.836558 | + | 0.547878i | ||||
\(7\) | 1.49458 | + | 0.400471i | 0.564898 | + | 0.151364i | 0.529955 | − | 0.848025i | \(-0.322209\pi\) |
0.0349422 | + | 0.999389i | \(0.488875\pi\) | |||||||
\(8\) | 2.49181 | + | 1.33824i | 0.880988 | + | 0.473139i | ||||
\(9\) | −2.93021 | + | 0.643306i | −0.976738 | + | 0.214435i | ||||
\(10\) | −2.69932 | − | 2.88584i | −0.853600 | − | 0.912583i | ||||
\(11\) | 0.959786 | − | 1.25082i | 0.289386 | − | 0.377136i | −0.625925 | − | 0.779884i | \(-0.715278\pi\) |
0.915311 | + | 0.402748i | \(0.131945\pi\) | |||||||
\(12\) | −3.30620 | + | 1.03393i | −0.954419 | + | 0.298470i | ||||
\(13\) | 3.24500 | − | 2.48998i | 0.900001 | − | 0.690595i | −0.0513578 | − | 0.998680i | \(-0.516355\pi\) |
0.951359 | + | 0.308085i | \(0.0996882\pi\) | |||||||
\(14\) | −1.77952 | + | 1.27341i | −0.475597 | + | 0.340334i | ||||
\(15\) | 4.83833 | + | 0.110541i | 1.24925 | + | 0.0285414i | ||||
\(16\) | −3.69954 | + | 1.52099i | −0.924885 | + | 0.380248i | ||||
\(17\) | 5.91726i | 1.43515i | 0.696484 | + | 0.717573i | \(0.254747\pi\) | ||||
−0.696484 | + | 0.717573i | \(0.745253\pi\) | |||||||
\(18\) | 1.92812 | − | 3.77920i | 0.454462 | − | 0.890766i | ||||
\(19\) | 4.77806 | + | 1.97914i | 1.09616 | + | 0.454045i | 0.856151 | − | 0.516725i | \(-0.172849\pi\) |
0.240010 | + | 0.970770i | \(0.422849\pi\) | |||||||
\(20\) | 5.57679 | − | 0.358144i | 1.24701 | − | 0.0800833i | ||||
\(21\) | 0.410410 | − | 2.64839i | 0.0895587 | − | 0.577927i | ||||
\(22\) | 0.504877 | + | 2.17177i | 0.107640 | + | 0.463022i | ||||
\(23\) | 5.90684 | − | 1.58273i | 1.23166 | − | 0.330023i | 0.416435 | − | 0.909165i | \(-0.363279\pi\) |
0.815226 | + | 0.579142i | \(0.196613\pi\) | |||||||
\(24\) | 1.83892 | − | 4.54075i | 0.375368 | − | 0.926876i | ||||
\(25\) | −2.71155 | − | 0.726558i | −0.542310 | − | 0.145312i | ||||
\(26\) | −0.193071 | + | 5.78124i | −0.0378643 | + | 1.13379i | ||||
\(27\) | 1.65509 | + | 4.92551i | 0.318523 | + | 0.947915i | ||||
\(28\) | 0.206465 | − | 3.08771i | 0.0390182 | − | 0.583522i | ||||
\(29\) | 7.62066 | − | 1.00328i | 1.41512 | − | 0.186304i | 0.616129 | − | 0.787646i | \(-0.288700\pi\) |
0.798992 | + | 0.601341i | \(0.205367\pi\) | |||||||
\(30\) | −4.46505 | + | 5.18715i | −0.815203 | + | 0.947040i | ||||
\(31\) | 0.188789 | − | 0.326992i | 0.0339075 | − | 0.0587295i | −0.848574 | − | 0.529077i | \(-0.822538\pi\) |
0.882481 | + | 0.470348i | \(0.155872\pi\) | |||||||
\(32\) | 1.65992 | − | 5.40783i | 0.293435 | − | 0.955979i | ||||
\(33\) | −2.33313 | − | 1.41905i | −0.406145 | − | 0.247026i | ||||
\(34\) | −6.46526 | − | 5.31303i | −1.10878 | − | 0.911177i | ||||
\(35\) | −1.65448 | + | 3.99428i | −0.279659 | + | 0.675156i | ||||
\(36\) | 2.39796 | + | 5.49998i | 0.399660 | + | 0.916664i | ||||
\(37\) | −5.26075 | + | 2.17907i | −0.864862 | + | 0.358238i | −0.770607 | − | 0.637310i | \(-0.780047\pi\) |
−0.0942551 | + | 0.995548i | \(0.530047\pi\) | |||||||
\(38\) | −6.45258 | + | 3.44351i | −1.04675 | + | 0.558612i | ||||
\(39\) | −4.89376 | − | 5.12261i | −0.783629 | − | 0.820273i | ||||
\(40\) | −4.61602 | + | 6.41483i | −0.729856 | + | 1.01427i | ||||
\(41\) | −7.61220 | + | 2.03968i | −1.18883 | + | 0.318545i | −0.798421 | − | 0.602099i | \(-0.794331\pi\) |
−0.390404 | + | 0.920644i | \(0.627665\pi\) | |||||||
\(42\) | 2.52516 | + | 2.82638i | 0.389641 | + | 0.436120i | ||||
\(43\) | 0.280120 | − | 0.365060i | 0.0427180 | − | 0.0556711i | −0.771506 | − | 0.636222i | \(-0.780496\pi\) |
0.814224 | + | 0.580551i | \(0.197163\pi\) | |||||||
\(44\) | −2.82622 | − | 1.39837i | −0.426068 | − | 0.210812i | ||||
\(45\) | −0.713434 | − | 8.35200i | −0.106352 | − | 1.24504i | ||||
\(46\) | −3.57437 | + | 7.87500i | −0.527012 | + | 1.16110i | ||||
\(47\) | −3.08436 | + | 1.78075i | −0.449900 | + | 0.259750i | −0.707788 | − | 0.706425i | \(-0.750307\pi\) |
0.257888 | + | 0.966175i | \(0.416973\pi\) | |||||||
\(48\) | 3.31013 | + | 6.08630i | 0.477776 | + | 0.878482i | ||||
\(49\) | −3.98879 | − | 2.30293i | −0.569827 | − | 0.328990i | ||||
\(50\) | 3.22851 | − | 2.31030i | 0.456581 | − | 0.326726i | ||||
\(51\) | 10.1892 | − | 1.10532i | 1.42677 | − | 0.154776i | ||||
\(52\) | −6.14329 | − | 5.40185i | −0.851921 | − | 0.749102i | ||||
\(53\) | −5.04865 | − | 12.1885i | −0.693485 | − | 1.67422i | −0.737638 | − | 0.675197i | \(-0.764059\pi\) |
0.0441524 | − | 0.999025i | \(-0.485941\pi\) | |||||||
\(54\) | −6.86775 | − | 2.61419i | −0.934583 | − | 0.355746i | ||||
\(55\) | 3.11501 | + | 3.11501i | 0.420028 | + | 0.420028i | ||||
\(56\) | 3.18828 | + | 2.99800i | 0.426052 | + | 0.400625i | ||||
\(57\) | 2.51545 | − | 8.59726i | 0.333179 | − | 1.13874i | ||||
\(58\) | −5.74630 | + | 9.22724i | −0.754526 | + | 1.21160i | ||||
\(59\) | −0.130437 | + | 0.990764i | −0.0169814 | + | 0.128987i | −0.997836 | − | 0.0657565i | \(-0.979054\pi\) |
0.980854 | + | 0.194743i | \(0.0623873\pi\) | |||||||
\(60\) | −1.65843 | − | 9.53604i | −0.214102 | − | 1.23110i | ||||
\(61\) | 7.30369 | − | 0.961548i | 0.935141 | − | 0.123114i | 0.352471 | − | 0.935823i | \(-0.385341\pi\) |
0.582670 | + | 0.812709i | \(0.302008\pi\) | |||||||
\(62\) | 0.187764 | + | 0.499875i | 0.0238460 | + | 0.0634842i | ||||
\(63\) | −4.63706 | − | 0.211995i | −0.584215 | − | 0.0267089i | ||||
\(64\) | 4.41824 | + | 6.66927i | 0.552279 | + | 0.833659i | ||||
\(65\) | 5.71434 | + | 9.89752i | 0.708776 | + | 1.22764i | ||||
\(66\) | 3.64536 | − | 1.27505i | 0.448713 | − | 0.156948i | ||||
\(67\) | −1.06190 | − | 1.38389i | −0.129732 | − | 0.169070i | 0.723971 | − | 0.689830i | \(-0.242315\pi\) |
−0.853703 | + | 0.520761i | \(0.825648\pi\) | |||||||
\(68\) | 11.6101 | − | 2.29350i | 1.40794 | − | 0.278128i | ||||
\(69\) | −3.82876 | − | 9.87563i | −0.460929 | − | 1.18889i | ||||
\(70\) | −2.87865 | − | 5.39412i | −0.344064 | − | 0.644720i | ||||
\(71\) | −6.27993 | + | 6.27993i | −0.745291 | + | 0.745291i | −0.973591 | − | 0.228300i | \(-0.926683\pi\) |
0.228300 | + | 0.973591i | \(0.426683\pi\) | |||||||
\(72\) | −8.16244 | − | 2.31833i | −0.961952 | − | 0.273218i | ||||
\(73\) | 2.94945 | + | 2.94945i | 0.345207 | + | 0.345207i | 0.858321 | − | 0.513114i | \(-0.171508\pi\) |
−0.513114 | + | 0.858321i | \(0.671508\pi\) | |||||||
\(74\) | 2.34268 | − | 7.70452i | 0.272331 | − | 0.895632i | ||||
\(75\) | −0.744589 | + | 4.80487i | −0.0859777 | + | 0.554819i | ||||
\(76\) | 2.03127 | − | 10.1420i | 0.233003 | − | 1.16337i | ||||
\(77\) | 1.93539 | − | 1.48508i | 0.220558 | − | 0.169240i | ||||
\(78\) | 9.99106 | − | 0.747454i | 1.13126 | − | 0.0846325i | ||||
\(79\) | −3.09758 | + | 1.78839i | −0.348505 | + | 0.201210i | −0.664027 | − | 0.747709i | \(-0.731154\pi\) |
0.315521 | + | 0.948918i | \(0.397821\pi\) | |||||||
\(80\) | −2.86425 | − | 10.8033i | −0.320233 | − | 1.20785i | ||||
\(81\) | 8.17232 | − | 3.77005i | 0.908035 | − | 0.418894i | ||||
\(82\) | 4.60632 | − | 10.1486i | 0.508683 | − | 1.12072i | ||||
\(83\) | −1.37237 | − | 10.4242i | −0.150638 | − | 1.14421i | −0.885048 | − | 0.465500i | \(-0.845875\pi\) |
0.734410 | − | 0.678706i | \(-0.237459\pi\) | |||||||
\(84\) | −5.35544 | + | 0.221249i | −0.584327 | + | 0.0241402i | ||||
\(85\) | −16.3922 | − | 2.15807i | −1.77798 | − | 0.234076i | ||||
\(86\) | 0.147352 | + | 0.633846i | 0.0158894 | + | 0.0683493i | ||||
\(87\) | −3.15110 | − | 12.9350i | −0.337834 | − | 1.38677i | ||||
\(88\) | 4.06550 | − | 1.83238i | 0.433383 | − | 0.195332i | ||||
\(89\) | −12.0893 | + | 12.0893i | −1.28147 | + | 1.28147i | −0.341635 | + | 0.939833i | \(0.610981\pi\) |
−0.939833 | + | 0.341635i | \(0.889019\pi\) | |||||||
\(90\) | 9.76606 | + | 6.71965i | 1.02943 | + | 0.708313i | ||||
\(91\) | 5.84707 | − | 2.42194i | 0.612940 | − | 0.253888i | ||||
\(92\) | −5.39492 | − | 10.9763i | −0.562460 | − | 1.14435i | ||||
\(93\) | −0.598328 | − | 0.264004i | −0.0620438 | − | 0.0273759i | ||||
\(94\) | 0.823735 | − | 4.96892i | 0.0849618 | − | 0.512505i | ||||
\(95\) | −7.22526 | + | 12.5145i | −0.741296 | + | 1.28396i | ||||
\(96\) | −9.62208 | − | 1.84813i | −0.982049 | − | 0.188624i | ||||
\(97\) | −2.26176 | − | 3.91749i | −0.229647 | − | 0.397760i | 0.728056 | − | 0.685517i | \(-0.240424\pi\) |
−0.957704 | + | 0.287757i | \(0.907091\pi\) | |||||||
\(98\) | 6.09769 | − | 2.29042i | 0.615960 | − | 0.231368i | ||||
\(99\) | −2.00772 | + | 4.28260i | −0.201784 | + | 0.430417i | ||||
\(100\) | −0.374581 | + | 5.60190i | −0.0374581 | + | 0.560190i | ||||
\(101\) | 11.4186 | + | 8.76178i | 1.13619 | + | 0.871829i | 0.993029 | − | 0.117870i | \(-0.0376067\pi\) |
0.143161 | + | 0.989699i | \(0.454273\pi\) | |||||||
\(102\) | −7.94108 | + | 12.1253i | −0.786284 | + | 1.20058i | ||||
\(103\) | −1.68601 | − | 6.29229i | −0.166128 | − | 0.619998i | −0.997894 | − | 0.0648711i | \(-0.979336\pi\) |
0.831766 | − | 0.555127i | \(-0.187330\pi\) | |||||||
\(104\) | 11.4181 | − | 1.86196i | 1.11964 | − | 0.182581i | ||||
\(105\) | 7.18699 | + | 2.10282i | 0.701378 | + | 0.205214i | ||||
\(106\) | 17.8504 | + | 5.42771i | 1.73379 | + | 0.527186i | ||||
\(107\) | −2.47568 | − | 5.97681i | −0.239333 | − | 0.577800i | 0.757881 | − | 0.652392i | \(-0.226235\pi\) |
−0.997214 | + | 0.0745920i | \(0.976235\pi\) | |||||||
\(108\) | 9.02276 | − | 5.15654i | 0.868215 | − | 0.496188i | ||||
\(109\) | −6.91502 | − | 2.86430i | −0.662339 | − | 0.274350i | 0.0260833 | − | 0.999660i | \(-0.491696\pi\) |
−0.688423 | + | 0.725310i | \(0.741696\pi\) | |||||||
\(110\) | −6.20043 | + | 0.606565i | −0.591188 | + | 0.0578337i | ||||
\(111\) | 4.73494 | + | 8.65170i | 0.449421 | + | 0.821183i | ||||
\(112\) | −6.13836 | + | 0.791682i | −0.580021 | + | 0.0748069i | ||||
\(113\) | −8.22523 | − | 4.74884i | −0.773765 | − | 0.446733i | 0.0604513 | − | 0.998171i | \(-0.480746\pi\) |
−0.834216 | + | 0.551438i | \(0.814079\pi\) | |||||||
\(114\) | 7.13487 | + | 10.4678i | 0.668242 | + | 0.980398i | ||||
\(115\) | 2.23027 | + | 16.9406i | 0.207974 | + | 1.57972i | ||||
\(116\) | −4.92225 | − | 14.5635i | −0.457020 | − | 1.35219i | ||||
\(117\) | −7.90673 | + | 9.38369i | −0.730977 | + | 0.867522i | ||||
\(118\) | −0.965402 | − | 1.03211i | −0.0888725 | − | 0.0950136i | ||||
\(119\) | −2.36969 | + | 8.84380i | −0.217229 | + | 0.810710i | ||||
\(120\) | 11.9083 | + | 6.75028i | 1.08707 | + | 0.616213i | ||||
\(121\) | 2.20365 | + | 8.22415i | 0.200332 | + | 0.747650i | ||||
\(122\) | −5.50729 | + | 8.84345i | −0.498607 | + | 0.800648i | ||||
\(123\) | 4.93415 | + | 12.7268i | 0.444898 | + | 1.14754i | ||||
\(124\) | −0.714759 | − | 0.243679i | −0.0641873 | − | 0.0218830i | ||||
\(125\) | −2.34469 | + | 5.66058i | −0.209716 | + | 0.506298i | ||||
\(126\) | 4.39519 | − | 4.87615i | 0.391554 | − | 0.434402i | ||||
\(127\) | 17.9616 | 1.59383 | 0.796916 | − | 0.604090i | \(-0.206463\pi\) | ||||
0.796916 | + | 0.604090i | \(0.206463\pi\) | |||||||
\(128\) | −11.2540 | − | 1.16084i | −0.994722 | − | 0.102605i | ||||
\(129\) | −0.680940 | − | 0.414161i | −0.0599534 | − | 0.0364649i | ||||
\(130\) | −15.9450 | − | 2.64332i | −1.39847 | − | 0.231834i | ||||
\(131\) | −8.72417 | − | 11.3696i | −0.762234 | − | 0.993363i | −0.999758 | − | 0.0219814i | \(-0.993003\pi\) |
0.237524 | − | 0.971382i | \(-0.423664\pi\) | |||||||
\(132\) | −1.87999 | + | 5.12781i | −0.163632 | + | 0.446319i | ||||
\(133\) | 6.34859 | + | 4.87145i | 0.550493 | + | 0.422408i | ||||
\(134\) | 2.46552 | + | 0.0823388i | 0.212989 | + | 0.00711299i | ||||
\(135\) | −14.2484 | + | 2.78862i | −1.22631 | + | 0.240006i | ||||
\(136\) | −7.91870 | + | 14.7447i | −0.679023 | + | 1.26435i | ||||
\(137\) | −0.314725 | + | 1.17457i | −0.0268887 | + | 0.100350i | −0.978066 | − | 0.208295i | \(-0.933209\pi\) |
0.951177 | + | 0.308645i | \(0.0998754\pi\) | |||||||
\(138\) | 14.2280 | + | 4.68386i | 1.21117 | + | 0.398717i | ||||
\(139\) | 20.1634 | + | 2.65457i | 1.71024 | + | 0.225157i | 0.921174 | − | 0.389151i | \(-0.127232\pi\) |
0.789066 | + | 0.614308i | \(0.210565\pi\) | |||||||
\(140\) | 8.47837 | + | 1.69807i | 0.716553 | + | 0.143513i | ||||
\(141\) | 3.64251 | + | 4.97847i | 0.306755 | + | 0.419263i | ||||
\(142\) | −1.22285 | − | 12.5002i | −0.102619 | − | 1.04899i | ||||
\(143\) | − | 6.44875i | − | 0.539271i | ||||||
\(144\) | 9.86198 | − | 6.83676i | 0.821832 | − | 0.569730i | ||||
\(145\) | 21.4769i | 1.78356i | ||||||||
\(146\) | −5.87087 | + | 0.574325i | −0.485876 | + | 0.0475315i | ||||
\(147\) | −3.22044 | + | 7.29867i | −0.265617 | + | 0.601984i | ||||
\(148\) | 6.31457 | + | 9.47743i | 0.519055 | + | 0.779040i | ||||
\(149\) | −4.47134 | − | 0.588662i | −0.366306 | − | 0.0482251i | −0.0548734 | − | 0.998493i | \(-0.517476\pi\) |
−0.311433 | + | 0.950268i | \(0.600809\pi\) | |||||||
\(150\) | −4.58129 | − | 5.12778i | −0.374061 | − | 0.418681i | ||||
\(151\) | 2.67818 | − | 9.99510i | 0.217947 | − | 0.813389i | −0.767161 | − | 0.641454i | \(-0.778331\pi\) |
0.985108 | − | 0.171935i | \(-0.0550020\pi\) | |||||||
\(152\) | 9.25745 | + | 11.3258i | 0.750879 | + | 0.918644i | ||||
\(153\) | −3.80660 | − | 17.3388i | −0.307746 | − | 1.40176i | ||||
\(154\) | −0.115152 | + | 3.44806i | −0.00927920 | + | 0.277853i | ||||
\(155\) | 0.836991 | + | 0.642246i | 0.0672288 | + | 0.0515864i | ||||
\(156\) | −8.15417 | + | 11.5875i | −0.652856 | + | 0.927740i | ||||
\(157\) | −6.44211 | − | 8.39552i | −0.514136 | − | 0.670036i | 0.462079 | − | 0.886839i | \(-0.347104\pi\) |
−0.976215 | + | 0.216803i | \(0.930437\pi\) | |||||||
\(158\) | 0.827267 | − | 4.99023i | 0.0658138 | − | 0.397001i | ||||
\(159\) | −20.0449 | + | 10.9703i | −1.58967 | + | 0.870000i | ||||
\(160\) | 14.3756 | + | 6.57064i | 1.13649 | + | 0.519455i | ||||
\(161\) | 9.46208 | 0.745716 | ||||||||
\(162\) | −3.21863 | + | 12.3142i | −0.252879 | + | 0.967498i | ||||
\(163\) | 6.93912 | − | 16.7525i | 0.543514 | − | 1.31216i | −0.378715 | − | 0.925513i | \(-0.623634\pi\) |
0.922229 | − | 0.386645i | \(-0.126366\pi\) | |||||||
\(164\) | 6.95248 | + | 14.1452i | 0.542898 | + | 1.10455i | ||||
\(165\) | 4.78202 | − | 5.94577i | 0.372280 | − | 0.462877i | ||||
\(166\) | 12.6218 | + | 7.86030i | 0.979645 | + | 0.610077i | ||||
\(167\) | −5.62955 | − | 21.0098i | −0.435628 | − | 1.62578i | −0.739560 | − | 0.673091i | \(-0.764966\pi\) |
0.303933 | − | 0.952694i | \(-0.401700\pi\) | |||||||
\(168\) | 4.56685 | − | 6.05007i | 0.352340 | − | 0.466773i | ||||
\(169\) | 0.965395 | − | 3.60290i | 0.0742612 | − | 0.277146i | ||||
\(170\) | 17.0763 | − | 15.9726i | 1.30969 | − | 1.22504i | ||||
\(171\) | −15.2739 | − | 2.72554i | −1.16803 | − | 0.208427i | ||||
\(172\) | −0.824852 | − | 0.408124i | −0.0628944 | − | 0.0311192i | ||||
\(173\) | −0.650095 | − | 4.93796i | −0.0494258 | − | 0.375426i | −0.998225 | − | 0.0595478i | \(-0.981034\pi\) |
0.948800 | − | 0.315879i | \(-0.102299\pi\) | |||||||
\(174\) | 16.9622 | + | 8.17123i | 1.28590 | + | 0.619459i | ||||
\(175\) | −3.76166 | − | 2.17180i | −0.284355 | − | 0.164172i | ||||
\(176\) | −1.64828 | + | 6.08727i | −0.124244 | + | 0.458845i | ||||
\(177\) | 1.73041 | + | 0.0395344i | 0.130066 | + | 0.00297159i | ||||
\(178\) | −2.35407 | − | 24.0638i | −0.176445 | − | 1.80366i | ||||
\(179\) | 2.84085 | + | 1.17672i | 0.212335 | + | 0.0879520i | 0.486316 | − | 0.873783i | \(-0.338340\pi\) |
−0.273981 | + | 0.961735i | \(0.588340\pi\) | |||||||
\(180\) | −16.1108 | + | 4.63702i | −1.20083 | + | 0.345623i | ||||
\(181\) | 4.76586 | + | 11.5058i | 0.354244 | + | 0.855220i | 0.996087 | + | 0.0883835i | \(0.0281701\pi\) |
−0.641843 | + | 0.766836i | \(0.721830\pi\) | |||||||
\(182\) | −2.60378 | + | 8.56320i | −0.193005 | + | 0.634746i | ||||
\(183\) | −3.02004 | − | 12.3970i | −0.223247 | − | 0.916410i | ||||
\(184\) | 16.8368 | + | 3.96089i | 1.24123 | + | 0.292001i | ||||
\(185\) | −4.11791 | − | 15.3682i | −0.302755 | − | 1.12990i | ||||
\(186\) | 0.825685 | − | 0.416694i | 0.0605422 | − | 0.0305535i | ||||
\(187\) | 7.40141 | + | 5.67930i | 0.541244 | + | 0.415311i | ||||
\(188\) | 4.68947 | + | 5.36155i | 0.342015 | + | 0.391031i | ||||
\(189\) | 0.501139 | + | 8.02438i | 0.0364525 | + | 0.583688i | ||||
\(190\) | −7.18603 | − | 19.1310i | −0.521329 | − | 1.38791i | ||||
\(191\) | −4.26215 | − | 7.38226i | −0.308398 | − | 0.534162i | 0.669614 | − | 0.742709i | \(-0.266460\pi\) |
−0.978012 | + | 0.208548i | \(0.933126\pi\) | |||||||
\(192\) | 10.6588 | − | 8.85377i | 0.769235 | − | 0.638966i | ||||
\(193\) | −13.4850 | + | 23.3567i | −0.970673 | + | 1.68125i | −0.277140 | + | 0.960830i | \(0.589387\pi\) |
−0.693533 | + | 0.720425i | \(0.743947\pi\) | |||||||
\(194\) | 6.31110 | + | 1.04624i | 0.453110 | + | 0.0751155i | ||||
\(195\) | 15.9756 | − | 11.6886i | 1.14404 | − | 0.837039i | ||||
\(196\) | −2.97250 | + | 8.71894i | −0.212321 | + | 0.622782i | ||||
\(197\) | 7.69679 | − | 3.18811i | 0.548373 | − | 0.227144i | −0.0912556 | − | 0.995828i | \(-0.529088\pi\) |
0.639629 | + | 0.768684i | \(0.279088\pi\) | |||||||
\(198\) | −2.87651 | − | 6.03895i | −0.204424 | − | 0.429169i | ||||
\(199\) | 5.67075 | − | 5.67075i | 0.401989 | − | 0.401989i | −0.476945 | − | 0.878933i | \(-0.658256\pi\) |
0.878933 | + | 0.476945i | \(0.158256\pi\) | |||||||
\(200\) | −5.78436 | − | 5.43915i | −0.409016 | − | 0.384606i | ||||
\(201\) | −2.18464 | + | 2.08704i | −0.154092 | + | 0.147209i | ||||
\(202\) | −19.8258 | + | 4.60896i | −1.39494 | + | 0.324285i | ||||
\(203\) | 11.7915 | + | 1.55237i | 0.827598 | + | 0.108955i | ||||
\(204\) | −6.11802 | − | 19.5637i | −0.428347 | − | 1.36973i | ||||
\(205\) | −2.87416 | − | 21.8314i | −0.200740 | − | 1.52477i | ||||
\(206\) | 8.38888 | + | 3.80761i | 0.584481 | + | 0.265289i | ||||
\(207\) | −16.2901 | + | 8.43766i | −1.13224 | + | 0.586458i | ||||
\(208\) | −8.21777 | + | 14.1474i | −0.569800 | + | 0.980944i | ||||
\(209\) | 7.06145 | − | 4.07693i | 0.488451 | − | 0.282007i | ||||
\(210\) | −8.75067 | + | 5.96448i | −0.603854 | + | 0.411589i | ||||
\(211\) | −20.6396 | + | 15.8374i | −1.42089 | + | 1.09029i | −0.439506 | + | 0.898240i | \(0.644847\pi\) |
−0.981385 | + | 0.192049i | \(0.938487\pi\) | |||||||
\(212\) | −21.9580 | + | 14.6301i | −1.50808 | + | 1.00480i | ||||
\(213\) | 11.9868 | + | 9.64065i | 0.821321 | + | 0.660567i | ||||
\(214\) | 8.75321 | + | 2.66156i | 0.598357 | + | 0.181940i | ||||
\(215\) | 0.909140 | + | 0.909140i | 0.0620028 | + | 0.0620028i | ||||
\(216\) | −2.46734 | + | 14.4883i | −0.167881 | + | 0.985807i | ||||
\(217\) | 0.413111 | − | 0.413111i | 0.0280438 | − | 0.0280438i | ||||
\(218\) | 9.33848 | − | 4.98361i | 0.632481 | − | 0.337533i | ||||
\(219\) | 4.52785 | − | 5.62974i | 0.305964 | − | 0.380423i | ||||
\(220\) | 4.90455 | − | 7.31928i | 0.330665 | − | 0.493466i | ||||
\(221\) | 14.7338 | + | 19.2015i | 0.991104 | + | 1.29163i | ||||
\(222\) | −13.7044 | − | 2.59481i | −0.919778 | − | 0.174152i | ||||
\(223\) | −8.09072 | − | 14.0135i | −0.541795 | − | 0.938416i | −0.998801 | − | 0.0489528i | \(-0.984412\pi\) |
0.457006 | − | 0.889464i | \(-0.348922\pi\) | |||||||
\(224\) | 4.64656 | − | 7.41768i | 0.310461 | − | 0.495615i | ||||
\(225\) | 8.41283 | + | 0.384614i | 0.560855 | + | 0.0256409i | ||||
\(226\) | 12.5740 | − | 4.72305i | 0.836408 | − | 0.314173i | ||||
\(227\) | −14.9250 | + | 1.96491i | −0.990604 | + | 0.130416i | −0.608373 | − | 0.793651i | \(-0.708178\pi\) |
−0.382231 | + | 0.924067i | \(0.624844\pi\) | |||||||
\(228\) | −17.8435 | − | 1.60326i | −1.18172 | − | 0.106178i | ||||
\(229\) | 0.306088 | − | 2.32497i | 0.0202268 | − | 0.153638i | −0.978351 | − | 0.206953i | \(-0.933645\pi\) |
0.998578 | + | 0.0533147i | \(0.0169787\pi\) | |||||||
\(230\) | −20.5120 | − | 12.7739i | −1.35252 | − | 0.842287i | ||||
\(231\) | −2.91875 | − | 3.05524i | −0.192040 | − | 0.201020i | ||||
\(232\) | 20.3319 | + | 7.69828i | 1.33485 | + | 0.505417i | ||||
\(233\) | 1.12782 | + | 1.12782i | 0.0738862 | + | 0.0738862i | 0.743084 | − | 0.669198i | \(-0.233362\pi\) |
−0.669198 | + | 0.743084i | \(0.733362\pi\) | |||||||
\(234\) | −3.15337 | − | 17.0645i | −0.206142 | − | 1.11554i | ||||
\(235\) | −3.80822 | − | 9.19385i | −0.248421 | − | 0.599740i | ||||
\(236\) | 1.99452 | − | 0.128089i | 0.129832 | − | 0.00833787i | ||||
\(237\) | 3.65813 | + | 4.99982i | 0.237621 | + | 0.324773i | ||||
\(238\) | −7.53512 | − | 10.5299i | −0.488429 | − | 0.682551i | ||||
\(239\) | −3.90883 | − | 2.25677i | −0.252841 | − | 0.145978i | 0.368223 | − | 0.929737i | \(-0.379966\pi\) |
−0.621065 | + | 0.783759i | \(0.713300\pi\) | |||||||
\(240\) | −18.0677 | + | 6.95010i | −1.16627 | + | 0.448627i | ||||
\(241\) | 12.3078 | − | 7.10592i | 0.792816 | − | 0.457732i | −0.0481373 | − | 0.998841i | \(-0.515328\pi\) |
0.840953 | + | 0.541108i | \(0.181995\pi\) | |||||||
\(242\) | −10.9644 | − | 4.97663i | −0.704820 | − | 0.319910i | ||||
\(243\) | −8.01838 | − | 13.3681i | −0.514380 | − | 0.857563i | ||||
\(244\) | −4.71752 | − | 13.9577i | −0.302008 | − | 0.893553i | ||||
\(245\) | 7.83439 | − | 10.2100i | 0.500521 | − | 0.652292i | ||||
\(246\) | −18.3358 | − | 6.03613i | −1.16905 | − | 0.384850i | ||||
\(247\) | 20.4328 | − | 5.47495i | 1.30011 | − | 0.348363i | ||||
\(248\) | 0.908019 | − | 0.562157i | 0.0576593 | − | 0.0356970i | ||||
\(249\) | −17.6936 | + | 4.31036i | −1.12129 | + | 0.273158i | ||||
\(250\) | −4.07955 | − | 7.64440i | −0.258013 | − | 0.483474i | ||||
\(251\) | 0.883121 | − | 0.365801i | 0.0557421 | − | 0.0230891i | −0.354638 | − | 0.935004i | \(-0.615396\pi\) |
0.410380 | + | 0.911914i | \(0.365396\pi\) | |||||||
\(252\) | 1.38135 | + | 9.18047i | 0.0870171 | + | 0.578315i | ||||
\(253\) | 3.68959 | − | 8.90747i | 0.231963 | − | 0.560008i | ||||
\(254\) | −16.1275 | + | 19.6250i | −1.01193 | + | 1.23138i | ||||
\(255\) | −0.654097 | + | 28.6296i | −0.0409611 | + | 1.79286i | ||||
\(256\) | 11.3732 | − | 11.2539i | 0.710823 | − | 0.703370i | ||||
\(257\) | 2.46613 | − | 4.27147i | 0.153833 | − | 0.266447i | −0.778800 | − | 0.627272i | \(-0.784171\pi\) |
0.932634 | + | 0.360825i | \(0.117505\pi\) | |||||||
\(258\) | 1.06392 | − | 0.372132i | 0.0662371 | − | 0.0231679i | ||||
\(259\) | −8.73526 | + | 1.15002i | −0.542783 | + | 0.0714587i | ||||
\(260\) | 17.2049 | − | 15.0482i | 1.06700 | − | 0.933252i | ||||
\(261\) | −21.6848 | + | 7.84224i | −1.34225 | + | 0.485422i | ||||
\(262\) | 20.2558 | + | 0.676465i | 1.25141 | + | 0.0417922i | ||||
\(263\) | 16.0761 | + | 4.30758i | 0.991295 | + | 0.265617i | 0.717795 | − | 0.696255i | \(-0.245152\pi\) |
0.273501 | + | 0.961872i | \(0.411818\pi\) | |||||||
\(264\) | −3.91468 | − | 6.65830i | −0.240932 | − | 0.409790i | ||||
\(265\) | 35.6063 | − | 9.54068i | 2.18728 | − | 0.586080i | ||||
\(266\) | −11.0229 | + | 2.56253i | −0.675859 | + | 0.157119i | ||||
\(267\) | 23.0755 | + | 18.5590i | 1.41220 | + | 1.13579i | ||||
\(268\) | −2.30373 | + | 2.61993i | −0.140722 | + | 0.160037i | ||||
\(269\) | 17.5062 | + | 7.25129i | 1.06737 | + | 0.442119i | 0.846062 | − | 0.533085i | \(-0.178967\pi\) |
0.221308 | + | 0.975204i | \(0.428967\pi\) | |||||||
\(270\) | 9.74663 | − | 18.0719i | 0.593161 | − | 1.09982i | ||||
\(271\) | 0.969626i | 0.0589006i | 0.999566 | + | 0.0294503i | \(0.00937567\pi\) | ||||
−0.999566 | + | 0.0294503i | \(0.990624\pi\) | |||||||
\(272\) | −9.00009 | − | 21.8911i | −0.545711 | − | 1.32734i | ||||
\(273\) | −5.26266 | − | 9.61595i | −0.318511 | − | 0.581984i | ||||
\(274\) | −1.00076 | − | 1.39850i | −0.0604580 | − | 0.0844866i | ||||
\(275\) | −3.51130 | + | 2.69432i | −0.211739 | + | 0.162473i | ||||
\(276\) | −17.8928 | + | 11.3401i | −1.07702 | + | 0.682594i | ||||
\(277\) | 2.09228 | − | 2.72671i | 0.125713 | − | 0.163832i | −0.726257 | − | 0.687424i | \(-0.758742\pi\) |
0.851969 | + | 0.523592i | \(0.175408\pi\) | |||||||
\(278\) | −21.0049 | + | 19.6473i | −1.25979 | + | 1.17837i | ||||
\(279\) | −0.342836 | + | 1.07961i | −0.0205251 | + | 0.0646343i | ||||
\(280\) | −9.46795 | + | 7.73889i | −0.565818 | + | 0.462487i | ||||
\(281\) | −13.4966 | − | 3.61641i | −0.805142 | − | 0.215737i | −0.167301 | − | 0.985906i | \(-0.553505\pi\) |
−0.637840 | + | 0.770169i | \(0.720172\pi\) | |||||||
\(282\) | −8.71009 | − | 0.490255i | −0.518679 | − | 0.0291943i | ||||
\(283\) | −3.37980 | + | 25.6721i | −0.200908 | + | 1.52605i | 0.532599 | + | 0.846368i | \(0.321216\pi\) |
−0.733507 | + | 0.679682i | \(0.762118\pi\) | |||||||
\(284\) | 14.7558 | + | 9.88767i | 0.875597 | + | 0.586725i | ||||
\(285\) | 22.8990 | + | 10.1039i | 1.35642 | + | 0.598502i | ||||
\(286\) | 7.04597 | + | 5.79025i | 0.416637 | + | 0.342385i | ||||
\(287\) | −12.1939 | −0.719781 | ||||||||
\(288\) | −1.38503 | + | 16.9139i | −0.0816136 | + | 0.996664i | ||||
\(289\) | −18.0139 | −1.05964 | ||||||||
\(290\) | −23.4659 | − | 19.2838i | −1.37796 | − | 1.13239i | ||||
\(291\) | −6.32322 | + | 4.62641i | −0.370674 | + | 0.271205i | ||||
\(292\) | 4.64387 | − | 6.93025i | 0.271762 | − | 0.405562i | ||||
\(293\) | 0.397408 | − | 3.01861i | 0.0232168 | − | 0.176349i | −0.975908 | − | 0.218183i | \(-0.929987\pi\) |
0.999125 | + | 0.0418344i | \(0.0133202\pi\) | |||||||
\(294\) | −5.08301 | − | 10.0721i | −0.296447 | − | 0.587415i | ||||
\(295\) | −2.69708 | − | 0.722680i | −0.157030 | − | 0.0420760i | ||||
\(296\) | −16.0249 | − | 1.61030i | −0.931429 | − | 0.0935968i | ||||
\(297\) | 7.74945 | + | 2.65722i | 0.449669 | + | 0.154188i | ||||
\(298\) | 4.65793 | − | 4.35688i | 0.269827 | − | 0.252387i | ||||
\(299\) | 15.2267 | − | 19.8439i | 0.880585 | − | 1.14760i | ||||
\(300\) | 9.71615 | − | 0.401403i | 0.560962 | − | 0.0231750i | ||||
\(301\) | 0.564858 | − | 0.433431i | 0.0325579 | − | 0.0249825i | ||||
\(302\) | 8.51605 | + | 11.9007i | 0.490043 | + | 0.684807i | ||||
\(303\) | 12.9544 | − | 21.2989i | 0.744210 | − | 1.22359i | ||||
\(304\) | −20.6869 | − | 0.0545104i | −1.18647 | − | 0.00312639i | ||||
\(305\) | 20.5836i | 1.17861i | ||||||||
\(306\) | 22.3625 | + | 11.4092i | 1.27838 | + | 0.652219i | ||||
\(307\) | −30.5109 | − | 12.6380i | −1.74135 | − | 0.721291i | −0.998665 | − | 0.0516513i | \(-0.983552\pi\) |
−0.742686 | − | 0.669640i | \(-0.766448\pi\) | |||||||
\(308\) | −3.66400 | − | 3.22179i | −0.208776 | − | 0.183578i | ||||
\(309\) | −10.5201 | + | 4.07861i | −0.598466 | + | 0.232024i | ||||
\(310\) | −1.45325 | + | 0.337841i | −0.0825390 | + | 0.0191881i | ||||
\(311\) | 6.28426 | − | 1.68386i | 0.356348 | − | 0.0954831i | −0.0762039 | − | 0.997092i | \(-0.524280\pi\) |
0.432552 | + | 0.901609i | \(0.357613\pi\) | |||||||
\(312\) | −5.33906 | − | 19.3136i | −0.302265 | − | 1.09342i | ||||
\(313\) | −7.49566 | − | 2.00846i | −0.423680 | − | 0.113525i | 0.0406782 | − | 0.999172i | \(-0.487048\pi\) |
−0.464358 | + | 0.885648i | \(0.653715\pi\) | |||||||
\(314\) | 14.9573 | + | 0.499516i | 0.844091 | + | 0.0281893i | ||||
\(315\) | 2.27845 | − | 12.7684i | 0.128376 | − | 0.719419i | ||||
\(316\) | 4.70958 | + | 5.38454i | 0.264935 | + | 0.302904i | ||||
\(317\) | −8.02205 | + | 1.05612i | −0.450563 | + | 0.0593178i | −0.352393 | − | 0.935852i | \(-0.614632\pi\) |
−0.0981696 | + | 0.995170i | \(0.531299\pi\) | |||||||
\(318\) | 6.01185 | − | 31.7514i | 0.337128 | − | 1.78053i | ||||
\(319\) | 6.05928 | − | 10.4950i | 0.339255 | − | 0.587606i | ||||
\(320\) | −20.0868 | + | 9.80721i | −1.12289 | + | 0.548239i | ||||
\(321\) | −9.82932 | + | 5.37943i | −0.548619 | + | 0.300251i | ||||
\(322\) | −8.49588 | + | 10.3384i | −0.473457 | + | 0.576135i | ||||
\(323\) | −11.7111 | + | 28.2730i | −0.651620 | + | 1.57315i | ||||
\(324\) | −10.5647 | − | 14.5735i | −0.586928 | − | 0.809639i | ||||
\(325\) | −10.6081 | + | 4.39402i | −0.588431 | + | 0.243736i | ||||
\(326\) | 12.0734 | + | 22.6236i | 0.668685 | + | 1.25301i | ||||
\(327\) | −3.64047 | + | 12.4424i | −0.201319 | + | 0.688064i | ||||
\(328\) | −21.6977 | − | 5.10443i | −1.19806 | − | 0.281845i | ||||
\(329\) | −5.32296 | + | 1.42628i | −0.293464 | + | 0.0786335i | ||||
\(330\) | 2.20269 | + | 10.5635i | 0.121254 | + | 0.581503i | ||||
\(331\) | −2.33281 | + | 3.04017i | −0.128223 | + | 0.167103i | −0.853053 | − | 0.521825i | \(-0.825252\pi\) |
0.724830 | + | 0.688928i | \(0.241918\pi\) | |||||||
\(332\) | −19.9212 | + | 6.73309i | −1.09332 | + | 0.369526i | ||||
\(333\) | 14.0133 | − | 9.76943i | 0.767925 | − | 0.535361i | ||||
\(334\) | 28.0102 | + | 12.7135i | 1.53265 | + | 0.695652i | ||||
\(335\) | 4.22099 | − | 2.43699i | 0.230617 | − | 0.133147i | ||||
\(336\) | 2.50986 | + | 10.4221i | 0.136924 | + | 0.568570i | ||||
\(337\) | 12.2682 | + | 7.08303i | 0.668289 | + | 0.385837i | 0.795428 | − | 0.606048i | \(-0.207246\pi\) |
−0.127139 | + | 0.991885i | \(0.540579\pi\) | |||||||
\(338\) | 3.06975 | + | 4.28980i | 0.166973 | + | 0.233335i | ||||
\(339\) | −6.64082 | + | 15.0505i | −0.360680 | + | 0.817430i | ||||
\(340\) | 2.11923 | + | 32.9993i | 0.114931 | + | 1.78964i | ||||
\(341\) | −0.227810 | − | 0.549983i | −0.0123366 | − | 0.0297832i | ||||
\(342\) | 16.6922 | − | 14.2412i | 0.902612 | − | 0.770077i | ||||
\(343\) | −12.6981 | − | 12.6981i | −0.685631 | − | 0.685631i | ||||
\(344\) | 1.18654 | − | 0.534793i | 0.0639742 | − | 0.0288341i | ||||
\(345\) | 28.7542 | − | 7.00484i | 1.54807 | − | 0.377128i | ||||
\(346\) | 5.97898 | + | 3.72343i | 0.321432 | + | 0.200173i | ||||
\(347\) | 3.94361 | − | 29.9547i | 0.211704 | − | 1.60805i | −0.474238 | − | 0.880397i | \(-0.657276\pi\) |
0.685942 | − | 0.727656i | \(-0.259390\pi\) | |||||||
\(348\) | −24.1581 | + | 11.1963i | −1.29501 | + | 0.600183i | ||||
\(349\) | −23.6392 | + | 3.11216i | −1.26538 | + | 0.166590i | −0.733182 | − | 0.680033i | \(-0.761966\pi\) |
−0.532194 | + | 0.846623i | \(0.678632\pi\) | |||||||
\(350\) | 5.75048 | − | 2.16000i | 0.307376 | − | 0.115457i | ||||
\(351\) | 17.6352 | + | 11.8621i | 0.941296 | + | 0.633155i | ||||
\(352\) | −5.17105 | − | 7.26662i | −0.275618 | − | 0.387312i | ||||
\(353\) | 15.1147 | + | 26.1794i | 0.804473 | + | 1.39339i | 0.916646 | + | 0.399700i | \(0.130886\pi\) |
−0.112173 | + | 0.993689i | \(0.535781\pi\) | |||||||
\(354\) | −1.59691 | + | 1.85517i | −0.0848748 | + | 0.0986010i | ||||
\(355\) | −15.1065 | − | 19.6872i | −0.801771 | − | 1.04489i | ||||
\(356\) | 28.4061 | + | 19.0345i | 1.50552 | + | 1.00883i | ||||
\(357\) | 15.6712 | + | 2.42850i | 0.829409 | + | 0.128530i | ||||
\(358\) | −3.83646 | + | 2.04738i | −0.202763 | + | 0.108207i | ||||
\(359\) | 11.2746 | − | 11.2746i | 0.595050 | − | 0.595050i | −0.343942 | − | 0.938991i | \(-0.611762\pi\) |
0.938991 | + | 0.343942i | \(0.111762\pi\) | |||||||
\(360\) | 9.39922 | − | 21.7663i | 0.495382 | − | 1.14719i | ||||
\(361\) | 5.47782 | + | 5.47782i | 0.288306 | + | 0.288306i | ||||
\(362\) | −16.8506 | − | 5.12369i | −0.885646 | − | 0.269295i | ||||
\(363\) | 13.7499 | − | 5.33082i | 0.721684 | − | 0.279795i | ||||
\(364\) | −7.01834 | − | 10.5337i | −0.367861 | − | 0.552116i | ||||
\(365\) | −9.24634 | + | 7.09497i | −0.483976 | + | 0.371368i | ||||
\(366\) | 16.2567 | + | 7.83135i | 0.849751 | + | 0.409351i | ||||
\(367\) | 0.271211 | − | 0.156584i | 0.0141571 | − | 0.00817360i | −0.492905 | − | 0.870083i | \(-0.664065\pi\) |
0.507062 | + | 0.861910i | \(0.330732\pi\) | |||||||
\(368\) | −19.4453 | + | 14.8396i | −1.01365 | + | 0.773570i | ||||
\(369\) | 20.9932 | − | 10.8737i | 1.09286 | − | 0.566061i | ||||
\(370\) | 20.4889 | + | 9.29968i | 1.06517 | + | 0.483467i | ||||
\(371\) | −2.66445 | − | 20.2385i | −0.138332 | − | 1.05073i | ||||
\(372\) | −0.286088 | + | 1.27630i | −0.0148330 | + | 0.0661729i | ||||
\(373\) | −12.1854 | − | 1.60424i | −0.630936 | − | 0.0830642i | −0.191725 | − | 0.981449i | \(-0.561408\pi\) |
−0.439210 | + | 0.898384i | \(0.644742\pi\) | |||||||
\(374\) | −12.8509 | + | 2.98748i | −0.664504 | + | 0.154479i | ||||
\(375\) | 10.1852 | + | 2.98006i | 0.525962 | + | 0.153890i | ||||
\(376\) | −10.0687 | + | 0.309697i | −0.519254 | + | 0.0159714i | ||||
\(377\) | 22.2309 | − | 22.2309i | 1.14495 | − | 1.14495i | ||||
\(378\) | −9.21749 | − | 6.65744i | −0.474097 | − | 0.342422i | ||||
\(379\) | −28.6291 | + | 11.8585i | −1.47058 | + | 0.609133i | −0.966990 | − | 0.254813i | \(-0.917986\pi\) |
−0.503586 | + | 0.863945i | \(0.667986\pi\) | |||||||
\(380\) | 27.3550 | + | 9.32599i | 1.40328 | + | 0.478413i | ||||
\(381\) | −3.35515 | − | 30.9289i | −0.171889 | − | 1.58454i | ||||
\(382\) | 11.8929 | + | 1.97157i | 0.608492 | + | 0.100874i | ||||
\(383\) | −1.45576 | + | 2.52144i | −0.0743857 | + | 0.128840i | −0.900819 | − | 0.434195i | \(-0.857033\pi\) |
0.826433 | + | 0.563035i | \(0.190366\pi\) | |||||||
\(384\) | 0.103285 | + | 19.5956i | 0.00527072 | + | 0.999986i | ||||
\(385\) | 3.40816 | + | 5.90311i | 0.173696 | + | 0.300850i | ||||
\(386\) | −13.4118 | − | 35.7056i | −0.682642 | − | 1.81737i | ||||
\(387\) | −0.585968 | + | 1.24991i | −0.0297864 | + | 0.0635364i | ||||
\(388\) | −6.80978 | + | 5.95617i | −0.345714 | + | 0.302379i | ||||
\(389\) | 6.63121 | + | 5.08831i | 0.336216 | + | 0.257988i | 0.763046 | − | 0.646344i | \(-0.223703\pi\) |
−0.426830 | + | 0.904332i | \(0.640370\pi\) | |||||||
\(390\) | −1.57320 | + | 27.9502i | −0.0796621 | + | 1.41531i | ||||
\(391\) | 9.36544 | + | 34.9523i | 0.473631 | + | 1.76761i | ||||
\(392\) | −6.85744 | − | 11.0764i | −0.346353 | − | 0.559443i | ||||
\(393\) | −17.9482 | + | 17.1464i | −0.905365 | + | 0.864919i | ||||
\(394\) | −3.42748 | + | 11.2722i | −0.172674 | + | 0.567883i | ||||
\(395\) | −3.82455 | − | 9.23327i | −0.192434 | − | 0.464576i | ||||
\(396\) | 9.18100 | + | 2.27940i | 0.461363 | + | 0.114544i | ||||
\(397\) | 7.02978 | + | 2.91183i | 0.352814 | + | 0.146141i | 0.552050 | − | 0.833811i | \(-0.313846\pi\) |
−0.199235 | + | 0.979952i | \(0.563846\pi\) | |||||||
\(398\) | 1.10423 | + | 11.2876i | 0.0553498 | + | 0.565797i | ||||
\(399\) | 7.20249 | − | 11.8419i | 0.360576 | − | 0.592838i | ||||
\(400\) | 11.1366 | − | 1.43631i | 0.556829 | − | 0.0718157i | ||||
\(401\) | −1.52697 | − | 0.881597i | −0.0762533 | − | 0.0440248i | 0.461389 | − | 0.887198i | \(-0.347351\pi\) |
−0.537642 | + | 0.843173i | \(0.680685\pi\) | |||||||
\(402\) | −0.318766 | − | 4.26088i | −0.0158986 | − | 0.212514i | ||||
\(403\) | −0.201582 | − | 1.53117i | −0.0100415 | − | 0.0762729i | ||||
\(404\) | 12.7655 | − | 25.8002i | 0.635109 | − | 1.28361i | ||||
\(405\) | 7.46340 | + | 24.0142i | 0.370859 | + | 1.19327i | ||||
\(406\) | −12.2835 | + | 11.4896i | −0.609622 | + | 0.570220i | ||||
\(407\) | −2.32357 | + | 8.67169i | −0.115175 | + | 0.429839i | ||||
\(408\) | 26.8688 | + | 10.8813i | 1.33020 | + | 0.538707i | ||||
\(409\) | −4.44312 | − | 16.5820i | −0.219698 | − | 0.819925i | −0.984460 | − | 0.175611i | \(-0.943810\pi\) |
0.764761 | − | 0.644314i | \(-0.222857\pi\) | |||||||
\(410\) | 26.4339 | + | 16.4618i | 1.30548 | + | 0.812992i | ||||
\(411\) | 2.08134 | + | 0.322535i | 0.102665 | + | 0.0159095i | ||||
\(412\) | −11.6925 | + | 5.74697i | −0.576049 | + | 0.283133i | ||||
\(413\) | −0.591720 | + | 1.42854i | −0.0291167 | + | 0.0702938i | ||||
\(414\) | 5.40764 | − | 25.3748i | 0.265771 | − | 1.24711i | ||||
\(415\) | 29.3780 | 1.44211 | ||||||||
\(416\) | −8.07894 | − | 21.6816i | −0.396103 | − | 1.06303i | ||||
\(417\) | 0.804581 | − | 35.2163i | 0.0394005 | − | 1.72455i | ||||
\(418\) | −1.88589 | + | 11.3760i | −0.0922419 | + | 0.556420i | ||||
\(419\) | −4.98049 | − | 6.49070i | −0.243313 | − | 0.317091i | 0.655694 | − | 0.755027i | \(-0.272376\pi\) |
−0.899006 | + | 0.437936i | \(0.855710\pi\) | |||||||
\(420\) | 1.34026 | − | 14.9165i | 0.0653981 | − | 0.727851i | ||||
\(421\) | −2.09123 | − | 1.60466i | −0.101920 | − | 0.0782063i | 0.556544 | − | 0.830818i | \(-0.312127\pi\) |
−0.658464 | + | 0.752612i | \(0.728794\pi\) | |||||||
\(422\) | 1.22802 | − | 36.7713i | 0.0597789 | − | 1.79000i | ||||
\(423\) | 7.89226 | − | 7.20218i | 0.383735 | − | 0.350182i | ||||
\(424\) | 3.73087 | − | 37.1278i | 0.181187 | − | 1.80308i | ||||
\(425\) | 4.29923 | − | 16.0449i | 0.208543 | − | 0.778294i | ||||
\(426\) | −21.2963 | + | 4.44066i | −1.03181 | + | 0.215151i | ||||
\(427\) | 11.3010 | + | 1.48781i | 0.546894 | + | 0.0720000i | ||||
\(428\) | −10.7674 | + | 7.17407i | −0.520464 | + | 0.346772i | ||||
\(429\) | −11.1044 | + | 1.20460i | −0.536126 | + | 0.0581586i | ||||
\(430\) | −1.80964 | + | 0.177030i | −0.0872686 | + | 0.00853717i | ||||
\(431\) | 17.7118i | 0.853148i | 0.904453 | + | 0.426574i | \(0.140280\pi\) | ||||
−0.904453 | + | 0.426574i | \(0.859720\pi\) | |||||||
\(432\) | −13.6147 | − | 15.7047i | −0.655039 | − | 0.755595i | ||||
\(433\) | − | 17.0411i | − | 0.818943i | −0.912323 | − | 0.409472i | \(-0.865713\pi\) | ||
0.912323 | − | 0.409472i | \(-0.134287\pi\) | |||||||
\(434\) | 0.0804422 | + | 0.822296i | 0.00386135 | + | 0.0394715i | ||||
\(435\) | 36.9821 | − | 4.01180i | 1.77316 | − | 0.192351i | ||||
\(436\) | −2.93975 | + | 14.6780i | −0.140789 | + | 0.702951i | ||||
\(437\) | 31.3557 | + | 4.12805i | 1.49995 | + | 0.197472i | ||||
\(438\) | 2.08561 | + | 10.0021i | 0.0996544 | + | 0.477916i | ||||
\(439\) | −8.65547 | + | 32.3026i | −0.413103 | + | 1.54172i | 0.375503 | + | 0.926821i | \(0.377470\pi\) |
−0.788605 | + | 0.614900i | \(0.789197\pi\) | |||||||
\(440\) | 3.59339 | + | 11.9307i | 0.171308 | + | 0.568772i | ||||
\(441\) | 13.1695 | + | 4.18206i | 0.627119 | + | 0.199146i | ||||
\(442\) | −34.2091 | − | 1.14245i | −1.62716 | − | 0.0543408i | ||||
\(443\) | −24.2055 | − | 18.5735i | −1.15004 | − | 0.882456i | −0.155605 | − | 0.987819i | \(-0.549733\pi\) |
−0.994434 | + | 0.105364i | \(0.966399\pi\) | |||||||
\(444\) | 15.1401 | − | 12.6437i | 0.718518 | − | 0.600044i | ||||
\(445\) | −29.0812 | − | 37.8994i | −1.37858 | − | 1.79660i | ||||
\(446\) | 22.5759 | + | 3.74258i | 1.06900 | + | 0.177216i | ||||
\(447\) | −0.178420 | + | 7.80937i | −0.00843896 | + | 0.369370i | ||||
\(448\) | 3.93255 | + | 11.7371i | 0.185796 | + | 0.554527i | ||||
\(449\) | −14.4794 | −0.683323 | −0.341661 | − | 0.939823i | \(-0.610990\pi\) | ||||
−0.341661 | + | 0.939823i | \(0.610990\pi\) | |||||||
\(450\) | −7.97400 | + | 8.84660i | −0.375898 | + | 0.417033i | ||||
\(451\) | −4.75481 | + | 11.4791i | −0.223895 | + | 0.540531i | ||||
\(452\) | −6.12955 | + | 17.9792i | −0.288310 | + | 0.845671i | ||||
\(453\) | −17.7113 | − | 2.74464i | −0.832150 | − | 0.128955i | ||||
\(454\) | 11.2541 | − | 18.0714i | 0.528179 | − | 0.848135i | ||||
\(455\) | 4.57685 | + | 17.0810i | 0.214566 | + | 0.800772i | ||||
\(456\) | 17.7732 | − | 18.0565i | 0.832307 | − | 0.845572i | ||||
\(457\) | 2.16499 | − | 8.07985i | 0.101274 | − | 0.377959i | −0.896622 | − | 0.442797i | \(-0.853986\pi\) |
0.997896 | + | 0.0648376i | \(0.0206529\pi\) | |||||||
\(458\) | 2.26545 | + | 2.42199i | 0.105858 | + | 0.113172i | ||||
\(459\) | −29.1455 | + | 9.79360i | −1.36040 | + | 0.457126i | ||||
\(460\) | 32.3744 | − | 10.9421i | 1.50946 | − | 0.510176i | ||||
\(461\) | −4.11394 | − | 31.2485i | −0.191605 | − | 1.45539i | −0.769171 | − | 0.639043i | \(-0.779331\pi\) |
0.577565 | − | 0.816344i | \(-0.304003\pi\) | |||||||
\(462\) | 5.95890 | − | 0.445798i | 0.277233 | − | 0.0207404i | ||||
\(463\) | −17.6385 | − | 10.1836i | −0.819730 | − | 0.473271i | 0.0305934 | − | 0.999532i | \(-0.490260\pi\) |
−0.850323 | + | 0.526261i | \(0.823594\pi\) | |||||||
\(464\) | −26.6669 | + | 15.3026i | −1.23798 | + | 0.710406i | ||||
\(465\) | 0.949568 | − | 1.56122i | 0.0440352 | − | 0.0724001i | ||||
\(466\) | −2.24493 | + | 0.219613i | −0.103994 | + | 0.0101734i | ||||
\(467\) | 30.6247 | + | 12.6852i | 1.41714 | + | 0.586999i | 0.954141 | − | 0.299359i | \(-0.0967728\pi\) |
0.463001 | + | 0.886358i | \(0.346773\pi\) | |||||||
\(468\) | 21.4762 | + | 11.8766i | 0.992737 | + | 0.548995i | ||||
\(469\) | −1.03288 | − | 2.49360i | −0.0476941 | − | 0.115144i | ||||
\(470\) | 13.4646 | + | 4.09414i | 0.621078 | + | 0.188849i | ||||
\(471\) | −13.2533 | + | 12.6612i | −0.610680 | + | 0.583399i | ||||
\(472\) | −1.65090 | + | 2.29424i | −0.0759889 | + | 0.105601i | ||||
\(473\) | −0.187768 | − | 0.700759i | −0.00863358 | − | 0.0322209i | ||||
\(474\) | −8.74744 | − | 0.492358i | −0.401783 | − | 0.0226147i | ||||
\(475\) | −11.5180 | − | 8.83806i | −0.528482 | − | 0.405518i | ||||
\(476\) | 18.2708 | + | 1.22171i | 0.837439 | + | 0.0559968i | ||||
\(477\) | 22.6346 | + | 32.4671i | 1.03637 | + | 1.48657i | ||||
\(478\) | 5.97546 | − | 2.24451i | 0.273311 | − | 0.102662i | ||||
\(479\) | 17.8654 | + | 30.9438i | 0.816292 | + | 1.41386i | 0.908397 | + | 0.418109i | \(0.137307\pi\) |
−0.0921049 | + | 0.995749i | \(0.529360\pi\) | |||||||
\(480\) | 8.62901 | − | 25.9814i | 0.393859 | − | 1.18588i | ||||
\(481\) | −11.6453 | + | 20.1702i | −0.530980 | + | 0.919684i | ||||
\(482\) | −3.28703 | + | 19.8280i | −0.149720 | + | 0.903139i | ||||
\(483\) | −1.76748 | − | 16.2932i | −0.0804230 | − | 0.741367i | ||||
\(484\) | 15.2823 | − | 7.51140i | 0.694652 | − | 0.341427i | ||||
\(485\) | 11.6772 | − | 4.83687i | 0.530236 | − | 0.219631i | ||||
\(486\) | 21.8057 | + | 3.24206i | 0.989127 | + | 0.147063i | ||||
\(487\) | −4.76754 | + | 4.76754i | −0.216038 | + | 0.216038i | −0.806826 | − | 0.590789i | \(-0.798817\pi\) |
0.590789 | + | 0.806826i | \(0.298817\pi\) | |||||||
\(488\) | 19.4862 | + | 7.37808i | 0.882098 | + | 0.333990i | ||||
\(489\) | −30.1432 | − | 8.81951i | −1.36312 | − | 0.398832i | ||||
\(490\) | 4.12113 | + | 17.7274i | 0.186174 | + | 0.800840i | ||||
\(491\) | −14.5605 | − | 1.91693i | −0.657107 | − | 0.0865098i | −0.205403 | − | 0.978678i | \(-0.565850\pi\) |
−0.451704 | + | 0.892168i | \(0.649184\pi\) | |||||||
\(492\) | 23.0586 | − | 14.6141i | 1.03956 | − | 0.658854i | ||||
\(493\) | 5.93666 | + | 45.0934i | 0.267374 | + | 2.03090i | ||||
\(494\) | −12.3644 | + | 27.2410i | −0.556299 | + | 1.22563i | ||||
\(495\) | −11.1316 | − | 7.12375i | −0.500327 | − | 0.320189i | ||||
\(496\) | −0.201080 | + | 1.49687i | −0.00902877 | + | 0.0672113i | ||||
\(497\) | −11.9008 | + | 6.87092i | −0.533823 | + | 0.308203i | ||||
\(498\) | 11.1773 | − | 23.2024i | 0.500868 | − | 1.03973i | ||||
\(499\) | 12.5551 | − | 9.63386i | 0.562043 | − | 0.431271i | −0.288269 | − | 0.957549i | \(-0.593080\pi\) |
0.850312 | + | 0.526278i | \(0.176413\pi\) | |||||||
\(500\) | 12.0153 | + | 2.40646i | 0.537342 | + | 0.107620i | ||||
\(501\) | −35.1262 | + | 13.6183i | −1.56932 | + | 0.608422i | ||||
\(502\) | −0.393266 | + | 1.29336i | −0.0175523 | + | 0.0577253i | ||||
\(503\) | 4.11740 | + | 4.11740i | 0.183586 | + | 0.183586i | 0.792916 | − | 0.609330i | \(-0.208562\pi\) |
−0.609330 | + | 0.792916i | \(0.708562\pi\) | |||||||
\(504\) | −11.2710 | − | 6.73375i | −0.502049 | − | 0.299945i | ||||
\(505\) | −28.4366 | + | 28.4366i | −1.26541 | + | 1.26541i | ||||
\(506\) | 6.41955 | + | 12.0292i | 0.285384 | + | 0.534763i | ||||
\(507\) | −6.38435 | − | 0.989353i | −0.283539 | − | 0.0439387i | ||||
\(508\) | −6.96183 | − | 35.2421i | −0.308881 | − | 1.56361i | ||||
\(509\) | 4.17050 | + | 5.43510i | 0.184854 | + | 0.240907i | 0.876583 | − | 0.481251i | \(-0.159817\pi\) |
−0.691729 | + | 0.722157i | \(0.743151\pi\) | |||||||
\(510\) | −30.6937 | − | 26.4208i | −1.35914 | − | 1.16993i | ||||
\(511\) | 3.22701 | + | 5.58935i | 0.142755 | + | 0.247258i | ||||
\(512\) | 2.08433 | + | 22.5312i | 0.0921152 | + | 0.995748i | ||||
\(513\) | −1.84014 | + | 26.8100i | −0.0812440 | + | 1.18369i | ||||
\(514\) | 2.45274 | + | 6.52982i | 0.108186 | + | 0.288018i | ||||
\(515\) | 18.0460 | − | 2.37580i | 0.795203 | − | 0.104690i | ||||
\(516\) | −0.548689 | + | 1.49659i | −0.0241547 | + | 0.0658836i | ||||
\(517\) | −0.732924 | + | 5.56711i | −0.0322340 | + | 0.244841i | ||||
\(518\) | 6.58676 | − | 10.5768i | 0.289406 | − | 0.464719i | ||||
\(519\) | −8.38148 | + | 2.04182i | −0.367906 | + | 0.0896260i | ||||
\(520\) | 0.993799 | + | 32.3099i | 0.0435810 | + | 1.41688i | ||||
\(521\) | −25.7080 | − | 25.7080i | −1.12629 | − | 1.12629i | −0.990776 | − | 0.135511i | \(-0.956732\pi\) |
−0.135511 | − | 0.990776i | \(-0.543268\pi\) | |||||||
\(522\) | 10.9020 | − | 30.7344i | 0.477166 | − | 1.34521i | ||||
\(523\) | 2.18896 | + | 5.28462i | 0.0957166 | + | 0.231080i | 0.964485 | − | 0.264139i | \(-0.0850878\pi\) |
−0.868768 | + | 0.495219i | \(0.835088\pi\) | |||||||
\(524\) | −18.9266 | + | 21.5243i | −0.826811 | + | 0.940295i | ||||
\(525\) | −3.03706 | + | 6.88307i | −0.132548 | + | 0.300402i | ||||
\(526\) | −19.1410 | + | 13.6972i | −0.834589 | + | 0.597227i | ||||
\(527\) | 1.93490 | + | 1.11711i | 0.0842854 | + | 0.0486622i | ||||
\(528\) | 10.7899 | + | 1.70118i | 0.469569 | + | 0.0740345i | ||||
\(529\) | 12.4672 | − | 7.19792i | 0.542050 | − | 0.312953i | ||||
\(530\) | −21.5462 | + | 47.4703i | −0.935908 | + | 2.06198i | ||||
\(531\) | −0.255157 | − | 2.98706i | −0.0110729 | − | 0.129627i | ||||
\(532\) | 7.09750 | − | 14.3446i | 0.307715 | − | 0.621918i | ||||
\(533\) | −19.6228 | + | 25.5730i | −0.849958 | + | 1.10769i | ||||
\(534\) | −40.9969 | + | 8.54862i | −1.77411 | + | 0.369935i | ||||
\(535\) | 17.4601 | − | 4.67841i | 0.754865 | − | 0.202265i | ||||
\(536\) | −0.794071 | − | 4.86947i | −0.0342986 | − | 0.210329i | ||||
\(537\) | 1.49559 | − | 5.11160i | 0.0645394 | − | 0.220582i | ||||
\(538\) | −23.6414 | + | 12.6166i | −1.01925 | + | 0.543939i | ||||
\(539\) | −6.70893 | + | 2.77893i | −0.288974 | + | 0.119697i | ||||
\(540\) | 10.9941 | + | 26.8758i | 0.473112 | + | 1.15655i | ||||
\(541\) | 5.88959 | − | 14.2187i | 0.253213 | − | 0.611311i | −0.745246 | − | 0.666789i | \(-0.767668\pi\) |
0.998460 | + | 0.0554777i | \(0.0176682\pi\) | |||||||
\(542\) | −1.05942 | − | 0.870615i | −0.0455061 | − | 0.0373961i | ||||
\(543\) | 18.9222 | − | 10.3558i | 0.812028 | − | 0.444410i | ||||
\(544\) | 31.9995 | + | 9.82217i | 1.37197 | + | 0.421122i | ||||
\(545\) | 10.4567 | − | 18.1116i | 0.447917 | − | 0.775816i | ||||
\(546\) | 15.2318 | + | 2.88400i | 0.651859 | + | 0.123424i | ||||
\(547\) | −40.6674 | + | 5.35396i | −1.73881 | + | 0.228919i | −0.932144 | − | 0.362088i | \(-0.882064\pi\) |
−0.806667 | + | 0.591007i | \(0.798731\pi\) | |||||||
\(548\) | 2.42659 | + | 0.162258i | 0.103659 | + | 0.00693131i | ||||
\(549\) | −20.7828 | + | 7.51605i | −0.886988 | + | 0.320777i | ||||
\(550\) | 0.208915 | − | 6.25568i | 0.00890817 | − | 0.266743i | ||||
\(551\) | 38.3976 | + | 10.2886i | 1.63579 | + | 0.438309i | ||||
\(552\) | 3.67541 | − | 29.7320i | 0.156436 | − | 1.26548i | ||||
\(553\) | −5.34578 | + | 1.43240i | −0.227326 | + | 0.0609117i | ||||
\(554\) | 1.10060 | + | 4.73433i | 0.0467601 | + | 0.201142i | ||||
\(555\) | −25.6941 | + | 9.96155i | −1.09065 | + | 0.422844i | ||||
\(556\) | −2.60679 | − | 40.5912i | −0.110552 | − | 1.72145i | ||||
\(557\) | −21.2463 | − | 8.80052i | −0.900237 | − | 0.372890i | −0.115925 | − | 0.993258i | \(-0.536983\pi\) |
−0.784311 | + | 0.620368i | \(0.786983\pi\) | |||||||
\(558\) | −0.871760 | − | 1.34395i | −0.0369046 | − | 0.0568940i | ||||
\(559\) | − | 1.88211i | − | 0.0796049i | ||||||
\(560\) | 0.0455687 | − | 17.2934i | 0.00192563 | − | 0.730781i | ||||
\(561\) | 8.39691 | − | 13.8057i | 0.354518 | − | 0.582878i | ||||
\(562\) | 16.0698 | − | 11.4994i | 0.677863 | − | 0.485074i | ||||
\(563\) | 6.79239 | − | 5.21198i | 0.286265 | − | 0.219659i | −0.455640 | − | 0.890164i | \(-0.650589\pi\) |
0.741905 | + | 0.670505i | \(0.233923\pi\) | |||||||
\(564\) | 8.35634 | − | 9.07655i | 0.351866 | − | 0.382192i | ||||
\(565\) | 16.1552 | − | 21.0539i | 0.679654 | − | 0.885743i | ||||
\(566\) | −25.0150 | − | 26.7435i | −1.05146 | − | 1.12411i | ||||
\(567\) | 13.7240 | − | 2.36186i | 0.576352 | − | 0.0991887i | ||||
\(568\) | −24.0524 | + | 7.24435i | −1.00922 | + | 0.303966i | ||||
\(569\) | −16.2769 | − | 4.36139i | −0.682365 | − | 0.182839i | −0.0990464 | − | 0.995083i | \(-0.531579\pi\) |
−0.583318 | + | 0.812244i | \(0.698246\pi\) | |||||||
\(570\) | −31.6003 | + | 15.9476i | −1.32359 | + | 0.667970i | ||||
\(571\) | −1.10097 | + | 8.36268i | −0.0460741 | + | 0.349967i | 0.952844 | + | 0.303461i | \(0.0981422\pi\) |
−0.998918 | + | 0.0465065i | \(0.985191\pi\) | |||||||
\(572\) | −12.6530 | + | 2.49951i | −0.529047 | + | 0.104510i | ||||
\(573\) | −11.9157 | + | 8.71818i | −0.497786 | + | 0.364207i | ||||
\(574\) | 10.9487 | − | 13.3231i | 0.456991 | − | 0.556097i | ||||
\(575\) | −17.1667 | −0.715899 | ||||||||
\(576\) | −17.2368 | − | 16.7001i | −0.718198 | − | 0.695838i | ||||
\(577\) | 20.2260 | 0.842018 | 0.421009 | − | 0.907056i | \(-0.361676\pi\) | ||||
0.421009 | + | 0.907056i | \(0.361676\pi\) | |||||||
\(578\) | 16.1745 | − | 19.6822i | 0.672769 | − | 0.818671i | ||||
\(579\) | 42.7380 | + | 18.8576i | 1.77613 | + | 0.783694i | ||||
\(580\) | 42.1395 | − | 8.32436i | 1.74975 | − | 0.345650i | ||||
\(581\) | 2.12348 | − | 16.1294i | 0.0880966 | − | 0.669160i | ||||
\(582\) | 0.622680 | − | 11.0628i | 0.0258109 | − | 0.458568i | ||||
\(583\) | −20.0912 | − | 5.38343i | −0.832094 | − | 0.222959i | ||||
\(584\) | 3.40240 | + | 11.2965i | 0.140792 | + | 0.467453i | ||||
\(585\) | −23.1114 | − | 25.3258i | −0.955537 | − | 1.04709i | ||||
\(586\) | 2.94134 | + | 3.14458i | 0.121506 | + | 0.129902i | ||||
\(587\) | 12.4270 | − | 16.1951i | 0.512916 | − | 0.668445i | −0.463059 | − | 0.886327i | \(-0.653248\pi\) |
0.975975 | + | 0.217883i | \(0.0699150\pi\) | |||||||
\(588\) | 15.5688 | + | 3.48983i | 0.642047 | + | 0.143918i | ||||
\(589\) | 1.54921 | − | 1.18875i | 0.0638339 | − | 0.0489815i | ||||
\(590\) | 3.21128 | − | 2.29797i | 0.132206 | − | 0.0946059i | ||||
\(591\) | −6.92750 | − | 12.6579i | −0.284959 | − | 0.520678i | ||||
\(592\) | 16.1480 | − | 16.0631i | 0.663679 | − | 0.660190i | ||||
\(593\) | 38.1910i | 1.56832i | 0.620560 | + | 0.784159i | \(0.286905\pi\) | ||||
−0.620560 | + | 0.784159i | \(0.713095\pi\) | |||||||
\(594\) | −9.86144 | + | 6.08125i | −0.404620 | + | 0.249517i | ||||
\(595\) | −23.6352 | − | 9.79000i | −0.968947 | − | 0.401351i | ||||
\(596\) | 0.578067 | + | 9.00129i | 0.0236785 | + | 0.368707i | ||||
\(597\) | −10.8240 | − | 8.70546i | −0.442997 | − | 0.356291i | ||||
\(598\) | 8.00972 | + | 34.4544i | 0.327542 | + | 1.40895i | ||||
\(599\) | 12.6251 | − | 3.38290i | 0.515849 | − | 0.138221i | 0.00850325 | − | 0.999964i | \(-0.497293\pi\) |
0.507346 | + | 0.861742i | \(0.330627\pi\) | |||||||
\(600\) | −8.28544 | + | 10.9764i | −0.338251 | + | 0.448109i | ||||
\(601\) | 40.2934 | + | 10.7966i | 1.64360 | + | 0.440402i | 0.957811 | − | 0.287398i | \(-0.0927903\pi\) |
0.685790 | + | 0.727800i | \(0.259457\pi\) | |||||||
\(602\) | −0.0336079 | + | 1.00634i | −0.00136976 | + | 0.0410154i | ||||
\(603\) | 4.00186 | + | 3.37198i | 0.162968 | + | 0.137318i | ||||
\(604\) | −20.6493 | − | 1.38075i | −0.840206 | − | 0.0561819i | ||||
\(605\) | −23.5865 | + | 3.10522i | −0.958928 | + | 0.126245i | ||||
\(606\) | 11.6398 | + | 33.2781i | 0.472833 | + | 1.35183i | ||||
\(607\) | 15.9905 | − | 27.6963i | 0.649033 | − | 1.12416i | −0.334321 | − | 0.942459i | \(-0.608507\pi\) |
0.983354 | − | 0.181699i | \(-0.0581596\pi\) | |||||||
\(608\) | 18.6340 | − | 22.5537i | 0.755710 | − | 0.914675i | ||||
\(609\) | 0.470514 | − | 20.5943i | 0.0190662 | − | 0.834522i | ||||
\(610\) | −22.4899 | − | 18.4818i | −0.910588 | − | 0.748304i | ||||
\(611\) | −5.57470 | + | 13.4585i | −0.225528 | + | 0.544474i | ||||
\(612\) | −32.5448 | + | 14.1893i | −1.31555 | + | 0.573570i | ||||
\(613\) | −28.8640 | + | 11.9559i | −1.16581 | + | 0.482892i | −0.879804 | − | 0.475337i | \(-0.842326\pi\) |
−0.286002 | + | 0.958229i | \(0.592326\pi\) | |||||||
\(614\) | 41.2038 | − | 21.9890i | 1.66285 | − | 0.887405i | ||||
\(615\) | −37.0558 | + | 9.02719i | −1.49423 | + | 0.364011i | ||||
\(616\) | 6.81002 | − | 1.11052i | 0.274383 | − | 0.0447440i | ||||
\(617\) | 15.5155 | − | 4.15737i | 0.624631 | − | 0.167369i | 0.0673990 | − | 0.997726i | \(-0.478530\pi\) |
0.557232 | + | 0.830357i | \(0.311863\pi\) | |||||||
\(618\) | 4.98951 | − | 15.1565i | 0.200707 | − | 0.609682i | ||||
\(619\) | −4.72212 | + | 6.15399i | −0.189798 | + | 0.247350i | −0.878553 | − | 0.477644i | \(-0.841491\pi\) |
0.688755 | + | 0.724994i | \(0.258157\pi\) | |||||||
\(620\) | 0.935726 | − | 1.89118i | 0.0375796 | − | 0.0759515i | ||||
\(621\) | 17.5721 | + | 26.4747i | 0.705146 | + | 1.06239i | ||||
\(622\) | −3.80275 | + | 8.37817i | −0.152476 | + | 0.335934i | ||||
\(623\) | −22.9099 | + | 13.2270i | −0.917866 | + | 0.529930i | ||||
\(624\) | 25.8961 | + | 11.5079i | 1.03667 | + | 0.460685i | ||||
\(625\) | −26.9816 | − | 15.5778i | −1.07926 | − | 0.623113i | ||||
\(626\) | 8.92472 | − | 6.38647i | 0.356703 | − | 0.255255i | ||||
\(627\) | −8.33931 | − | 11.3979i | −0.333040 | − | 0.455188i | ||||
\(628\) | −13.9758 | + | 15.8940i | −0.557694 | + | 0.634241i | ||||
\(629\) | −12.8941 | − | 31.1292i | −0.514123 | − | 1.24120i | ||||
\(630\) | 11.9051 | + | 13.9541i | 0.474312 | + | 0.555943i | ||||
\(631\) | −18.6638 | − | 18.6638i | −0.742993 | − | 0.742993i | 0.230160 | − | 0.973153i | \(-0.426075\pi\) |
−0.973153 | + | 0.230160i | \(0.926075\pi\) | |||||||
\(632\) | −10.1119 | + | 0.311025i | −0.402229 | + | 0.0123719i | ||||
\(633\) | 31.1265 | + | 32.5821i | 1.23717 | + | 1.29502i | ||||
\(634\) | 6.04897 | − | 9.71325i | 0.240235 | − | 0.385763i | ||||
\(635\) | −6.55073 | + | 49.7577i | −0.259958 | + | 1.97458i | ||||
\(636\) | 29.2939 | + | 35.0778i | 1.16158 | + | 1.39092i | ||||
\(637\) | −18.6779 | + | 2.45899i | −0.740044 | + | 0.0974286i | ||||
\(638\) | 6.02638 | + | 16.0438i | 0.238587 | + | 0.635178i | ||||
\(639\) | 14.3616 | − | 22.4415i | 0.568137 | − | 0.887770i | ||||
\(640\) | 7.32024 | − | 30.7528i | 0.289358 | − | 1.21561i | ||||
\(641\) | −16.1318 | − | 27.9411i | −0.637168 | − | 1.10361i | −0.986051 | − | 0.166441i | \(-0.946772\pi\) |
0.348884 | − | 0.937166i | \(-0.386561\pi\) | |||||||
\(642\) | 2.94800 | − | 15.5697i | 0.116348 | − | 0.614489i | ||||
\(643\) | 15.5838 | + | 20.3092i | 0.614566 | + | 0.800918i | 0.992149 | − | 0.125058i | \(-0.0399116\pi\) |
−0.377584 | + | 0.925976i | \(0.623245\pi\) | |||||||
\(644\) | −3.66746 | − | 18.5654i | −0.144518 | − | 0.731579i | ||||
\(645\) | 1.39567 | − | 1.73532i | 0.0549544 | − | 0.0683280i | ||||
\(646\) | −20.3762 | − | 38.1816i | −0.801689 | − | 1.50223i | ||||
\(647\) | 28.0801 | − | 28.0801i | 1.10394 | − | 1.10394i | 0.110012 | − | 0.993930i | \(-0.464911\pi\) |
0.993930 | − | 0.110012i | \(-0.0350890\pi\) | |||||||
\(648\) | 25.4091 | + | 1.54226i | 0.998163 | + | 0.0605858i | ||||
\(649\) | 1.11407 | + | 1.11407i | 0.0437312 | + | 0.0437312i | ||||
\(650\) | 4.72393 | − | 15.5358i | 0.185288 | − | 0.609366i | ||||
\(651\) | −0.788523 | − | 0.634188i | −0.0309046 | − | 0.0248558i | ||||
\(652\) | −35.5594 | − | 7.12192i | −1.39261 | − | 0.278916i | ||||
\(653\) | −5.08135 | + | 3.89906i | −0.198849 | + | 0.152582i | −0.703386 | − | 0.710808i | \(-0.748330\pi\) |
0.504538 | + | 0.863390i | \(0.331663\pi\) | |||||||
\(654\) | −10.3259 | − | 15.1495i | −0.403775 | − | 0.592391i | ||||
\(655\) | 34.6781 | − | 20.0214i | 1.35499 | − | 0.782301i | ||||
\(656\) | 25.0593 | − | 19.1240i | 0.978400 | − | 0.746665i | ||||
\(657\) | −10.5399 | − | 6.74511i | −0.411201 | − | 0.263152i | ||||
\(658\) | 3.22105 | − | 7.09656i | 0.125569 | − | 0.276653i | ||||
\(659\) | 3.68351 | + | 27.9790i | 0.143489 | + | 1.08991i | 0.899989 | + | 0.435913i | \(0.143575\pi\) |
−0.756500 | + | 0.653994i | \(0.773092\pi\) | |||||||
\(660\) | −13.5196 | − | 7.07817i | −0.526249 | − | 0.275517i | ||||
\(661\) | 23.0491 | + | 3.03448i | 0.896508 | + | 0.118027i | 0.564677 | − | 0.825312i | \(-0.309001\pi\) |
0.331830 | + | 0.943339i | \(0.392334\pi\) | |||||||
\(662\) | −1.22713 | − | 5.27858i | −0.0476937 | − | 0.205158i | ||||
\(663\) | 30.3118 | − | 28.9576i | 1.17721 | − | 1.12462i | ||||
\(664\) | 10.5304 | − | 27.8117i | 0.408658 | − | 1.07930i | ||||
\(665\) | −15.8104 | + | 15.8104i | −0.613102 | + | 0.613102i | ||||
\(666\) | −1.90820 | + | 24.0830i | −0.0739414 | + | 0.933195i | ||||
\(667\) | 43.4261 | − | 17.9877i | 1.68147 | − | 0.696486i | ||||
\(668\) | −39.0409 | + | 19.1889i | −1.51054 | + | 0.742442i | ||||
\(669\) | −22.6193 | + | 16.5495i | −0.874512 | + | 0.639840i | ||||
\(670\) | −1.12729 | + | 6.80004i | −0.0435512 | + | 0.262709i | ||||
\(671\) | 5.80725 | − | 10.0585i | 0.224187 | − | 0.388302i | ||||
\(672\) | −13.6408 | − | 6.61555i | −0.526206 | − | 0.255200i | ||||
\(673\) | −3.07791 | − | 5.33110i | −0.118645 | − | 0.205499i | 0.800586 | − | 0.599218i | \(-0.204522\pi\) |
−0.919231 | + | 0.393719i | \(0.871188\pi\) | |||||||
\(674\) | −18.7544 | + | 7.04456i | −0.722393 | + | 0.271346i | ||||
\(675\) | −0.909195 | − | 14.5583i | −0.0349949 | − | 0.560349i | ||||
\(676\) | −7.44338 | − | 0.497715i | −0.286284 | − | 0.0191429i | ||||
\(677\) | 7.94079 | + | 6.09318i | 0.305189 | + | 0.234180i | 0.749989 | − | 0.661450i | \(-0.230059\pi\) |
−0.444800 | + | 0.895630i | \(0.646725\pi\) | |||||||
\(678\) | −10.4816 | − | 20.7695i | −0.402544 | − | 0.797647i | ||||
\(679\) | −1.81154 | − | 6.76076i | −0.0695206 | − | 0.259454i | ||||
\(680\) | −37.9582 | − | 27.3141i | −1.45563 | − | 1.04745i | ||||
\(681\) | 6.17139 | + | 25.3330i | 0.236488 | + | 0.970762i | ||||
\(682\) | 0.805465 | + | 0.244915i | 0.0308429 | + | 0.00937827i | ||||
\(683\) | −8.34055 | − | 20.1359i | −0.319142 | − | 0.770478i | −0.999300 | − | 0.0374119i | \(-0.988089\pi\) |
0.680158 | − | 0.733066i | \(-0.261911\pi\) | |||||||
\(684\) | 0.572372 | + | 31.0251i | 0.0218852 | + | 1.18627i | ||||
\(685\) | −3.13905 | − | 1.30024i | −0.119937 | − | 0.0496794i | ||||
\(686\) | 25.2755 | − | 2.47260i | 0.965021 | − | 0.0944045i | ||||
\(687\) | −4.06065 | − | 0.0927731i | −0.154923 | − | 0.00353951i | ||||
\(688\) | −0.481064 | + | 1.77661i | −0.0183404 | + | 0.0677328i | ||||
\(689\) | −46.7320 | − | 26.9807i | −1.78035 | − | 1.02788i | ||||
\(690\) | −18.1645 | + | 37.7067i | −0.691509 | + | 1.43547i | ||||
\(691\) | −2.11438 | − | 16.0603i | −0.0804348 | − | 0.610963i | −0.983427 | − | 0.181306i | \(-0.941968\pi\) |
0.902992 | − | 0.429657i | \(-0.141366\pi\) | |||||||
\(692\) | −9.43672 | + | 3.18947i | −0.358730 | + | 0.121246i | ||||
\(693\) | −4.71575 | + | 5.59665i | −0.179137 | + | 0.212599i | ||||
\(694\) | 29.1879 | + | 31.2048i | 1.10796 | + | 1.18452i | ||||
\(695\) | −14.7075 | + | 54.8893i | −0.557889 | + | 2.08207i | ||||
\(696\) | 9.45813 | − | 36.4484i | 0.358510 | − | 1.38157i | ||||
\(697\) | −12.0693 | − | 45.0433i | −0.457158 | − | 1.70614i | ||||
\(698\) | 17.8249 | − | 28.6228i | 0.674684 | − | 1.08339i | ||||
\(699\) | 1.73138 | − | 2.15273i | 0.0654869 | − | 0.0814237i | ||||
\(700\) | −2.80324 | + | 8.22247i | −0.105952 | + | 0.310780i | ||||
\(701\) | −3.55913 | + | 8.59250i | −0.134427 | + | 0.324534i | −0.976731 | − | 0.214467i | \(-0.931198\pi\) |
0.842305 | + | 0.539002i | \(0.181198\pi\) | |||||||
\(702\) | −28.7951 | + | 8.61751i | −1.08680 | + | 0.325247i | ||||
\(703\) | −29.4489 | −1.11068 | ||||||||
\(704\) | 12.5826 | + | 0.874667i | 0.474225 | + | 0.0329653i | ||||
\(705\) | −15.1200 | + | 8.27492i | −0.569451 | + | 0.311652i | ||||
\(706\) | −42.1752 | − | 6.99169i | −1.58728 | − | 0.263136i | ||||
\(707\) | 13.5571 | + | 17.6680i | 0.509868 | + | 0.664472i | ||||
\(708\) | −0.593130 | − | 3.41053i | −0.0222912 | − | 0.128176i | ||||
\(709\) | 33.4466 | + | 25.6645i | 1.25611 | + | 0.963850i | 0.999996 | − | 0.00279603i | \(-0.000890006\pi\) |
0.256117 | + | 0.966646i | \(0.417557\pi\) | |||||||
\(710\) | 35.0744 | + | 1.17135i | 1.31632 | + | 0.0439599i | ||||
\(711\) | 7.92610 | − | 7.23306i | 0.297252 | − | 0.271261i | ||||
\(712\) | −46.3028 | + | 13.9459i | −1.73527 | + | 0.522646i | ||||
\(713\) | 0.597605 | − | 2.23029i | 0.0223805 | − | 0.0835251i | ||||
\(714\) | −16.7244 | + | 14.9420i | −0.625895 | + | 0.559191i | ||||
\(715\) | 17.8645 | + | 2.35191i | 0.668096 | + | 0.0879564i | ||||
\(716\) | 1.20772 | − | 6.03007i | 0.0451345 | − | 0.225354i | ||||
\(717\) | −3.15588 | + | 7.15236i | −0.117859 | + | 0.267110i | ||||
\(718\) | 2.19542 | + | 22.4420i | 0.0819324 | + | 0.837529i | ||||
\(719\) | 22.2302i | 0.829046i | 0.910039 | + | 0.414523i | \(0.136052\pi\) | ||||
−0.910039 | + | 0.414523i | \(0.863948\pi\) | |||||||
\(720\) | 15.3427 | + | 29.8134i | 0.571788 | + | 1.11108i | ||||
\(721\) | − | 10.0795i | − | 0.375381i | ||||||
\(722\) | −10.9036 | + | 1.06666i | −0.405789 | + | 0.0396969i | ||||
\(723\) | −14.5351 | − | 19.8661i | −0.540565 | − | 0.738827i | ||||
\(724\) | 20.7281 | − | 13.8106i | 0.770354 | − | 0.513267i | ||||
\(725\) | −21.3927 | − | 2.81641i | −0.794507 | − | 0.104599i | ||||
\(726\) | −6.52138 | + | 19.8098i | −0.242031 | + | 0.735210i | ||||
\(727\) | −9.91513 | + | 37.0038i | −0.367732 | + | 1.37239i | 0.495948 | + | 0.868352i | \(0.334821\pi\) |
−0.863680 | + | 0.504041i | \(0.831846\pi\) | |||||||
\(728\) | 17.8109 | + | 1.78977i | 0.660116 | + | 0.0663333i | ||||
\(729\) | −21.5213 | + | 16.3043i | −0.797087 | + | 0.603865i | ||||
\(730\) | 0.550138 | − | 16.4731i | 0.0203615 | − | 0.609698i | ||||
\(731\) | 2.16015 | + | 1.65754i | 0.0798962 | + | 0.0613065i | ||||
\(732\) | −23.1533 | + | 10.7306i | −0.855771 | + | 0.396613i | ||||
\(733\) | 5.95661 | + | 7.76280i | 0.220012 | + | 0.286726i | 0.890299 | − | 0.455377i | \(-0.150495\pi\) |
−0.670287 | + | 0.742102i | \(0.733829\pi\) | |||||||
\(734\) | −0.0724319 | + | 0.436922i | −0.00267351 | + | 0.0161271i | ||||
\(735\) | −19.0445 | − | 11.5832i | −0.702467 | − | 0.427254i | ||||
\(736\) | 1.24572 | − | 34.5704i | 0.0459179 | − | 1.27428i | ||||
\(737\) | −2.75019 | −0.101305 | ||||||||
\(738\) | −6.96887 | + | 32.7008i | −0.256527 | + | 1.20373i | ||||
\(739\) | 3.92363 | − | 9.47249i | 0.144333 | − | 0.348451i | −0.835136 | − | 0.550043i | \(-0.814611\pi\) |
0.979470 | + | 0.201592i | \(0.0646114\pi\) | |||||||
\(740\) | −28.5577 | + | 14.0363i | −1.04980 | + | 0.515986i | ||||
\(741\) | −13.2443 | − | 34.1615i | −0.486543 | − | 1.25495i | ||||
\(742\) | 24.5052 | + | 15.2607i | 0.899615 | + | 0.560239i | ||||
\(743\) | −11.5176 | − | 42.9843i | −0.422540 | − | 1.57694i | −0.769237 | − | 0.638963i | \(-0.779364\pi\) |
0.346697 | − | 0.937977i | \(-0.387303\pi\) | |||||||
\(744\) | −1.13762 | − | 1.45855i | −0.0417072 | − | 0.0534732i | ||||
\(745\) | 3.26146 | − | 12.1720i | 0.119491 | − | 0.445946i | ||||
\(746\) | 12.6939 | − | 11.8735i | 0.464757 | − | 0.434718i | ||||
\(747\) | 10.7273 | + | 29.6623i | 0.392491 | + | 1.08529i | ||||
\(748\) | 8.27450 | − | 16.7234i | 0.302546 | − | 0.611470i | ||||
\(749\) | −1.30655 | − | 9.92426i | −0.0477404 | − | 0.362624i | ||||
\(750\) | −12.4012 | + | 8.45271i | −0.452829 | + | 0.308649i | ||||
\(751\) | 39.8107 | + | 22.9847i | 1.45271 | + | 0.838724i | 0.998635 | − | 0.0522371i | \(-0.0166352\pi\) |
0.454079 | + | 0.890962i | \(0.349968\pi\) | |||||||
\(752\) | 8.70219 | − | 11.2793i | 0.317336 | − | 0.411312i | ||||
\(753\) | −0.794854 | − | 1.45236i | −0.0289661 | − | 0.0529269i | ||||
\(754\) | 4.32887 | + | 44.2506i | 0.157648 | + | 1.61151i | ||||
\(755\) | 26.7120 | + | 11.0645i | 0.972149 | + | 0.402677i | ||||
\(756\) | 15.5503 | − | 4.09349i | 0.565558 | − | 0.148879i | ||||
\(757\) | 14.1464 | + | 34.1525i | 0.514160 | + | 1.24129i | 0.941442 | + | 0.337174i | \(0.109471\pi\) |
−0.427282 | + | 0.904118i | \(0.640529\pi\) | |||||||
\(758\) | 12.7489 | − | 41.9281i | 0.463061 | − | 1.52290i | ||||
\(759\) | −16.0274 | − | 4.68941i | −0.581758 | − | 0.170215i | ||||
\(760\) | −34.7514 | + | 21.5147i | −1.26057 | + | 0.780420i | ||||
\(761\) | 5.95991 | + | 22.2427i | 0.216047 | + | 0.806297i | 0.985796 | + | 0.167950i | \(0.0537147\pi\) |
−0.769749 | + | 0.638347i | \(0.779619\pi\) | |||||||
\(762\) | 36.8058 | + | 24.1048i | 1.33333 | + | 0.873225i | ||||
\(763\) | −9.18798 | − | 7.05018i | −0.332627 | − | 0.255234i | ||||
\(764\) | −12.8326 | + | 11.2240i | −0.464268 | + | 0.406071i | ||||
\(765\) | 49.4209 | − | 4.22157i | 1.78682 | − | 0.152631i | ||||
\(766\) | −1.44785 | − | 3.85455i | −0.0523130 | − | 0.139271i | ||||
\(767\) | 2.04371 | + | 3.53981i | 0.0737942 | + | 0.127815i | ||||
\(768\) | −21.5031 | − | 17.4818i | −0.775928 | − | 0.630821i | ||||
\(769\) | 5.26497 | − | 9.11919i | 0.189860 | − | 0.328846i | −0.755344 | − | 0.655329i | \(-0.772530\pi\) |
0.945203 | + | 0.326482i | \(0.105863\pi\) | |||||||
\(770\) | −9.50994 | − | 1.57653i | −0.342715 | − | 0.0568143i | ||||
\(771\) | −7.81592 | − | 3.44866i | −0.281483 | − | 0.124201i | ||||
\(772\) | 51.0546 | + | 17.4057i | 1.83749 | + | 0.626447i | ||||
\(773\) | 25.0978 | − | 10.3958i | 0.902705 | − | 0.373912i | 0.117445 | − | 0.993079i | \(-0.462530\pi\) |
0.785259 | + | 0.619167i | \(0.212530\pi\) | |||||||
\(774\) | −0.839529 | − | 1.76251i | −0.0301763 | − | 0.0633522i | ||||
\(775\) | −0.749489 | + | 0.749489i | −0.0269225 | + | 0.0269225i | ||||
\(776\) | −0.393350 | − | 12.7884i | −0.0141205 | − | 0.459077i | ||||
\(777\) | 3.61199 | + | 14.8269i | 0.129579 | + | 0.531911i | ||||
\(778\) | −11.5136 | + | 2.67661i | −0.412783 | + | 0.0959609i | ||||
\(779\) | −40.4083 | − | 5.31986i | −1.44778 | − | 0.190604i | ||||
\(780\) | −29.1261 | − | 26.8150i | −1.04288 | − | 0.960131i | ||||
\(781\) | 1.82766 | + | 13.8824i | 0.0653987 | + | 0.496753i | ||||
\(782\) | −46.5984 | − | 21.1505i | −1.66635 | − | 0.756339i | ||||
\(783\) | 17.5546 | + | 35.8751i | 0.627348 | + | 1.28207i | ||||
\(784\) | 18.2594 | + | 2.45286i | 0.652122 | + | 0.0876022i | ||||
\(785\) | 25.6070 | − | 14.7842i | 0.913955 | − | 0.527672i | ||||
\(786\) | −2.61887 | − | 35.0059i | −0.0934119 | − | 1.24862i | ||||
\(787\) | 9.26181 | − | 7.10684i | 0.330148 | − | 0.253331i | −0.430364 | − | 0.902655i | \(-0.641615\pi\) |
0.760512 | + | 0.649324i | \(0.224948\pi\) | |||||||
\(788\) | −9.23859 | − | 13.8660i | −0.329111 | − | 0.493957i | ||||
\(789\) | 4.41448 | − | 28.4869i | 0.157160 | − | 1.01416i | ||||
\(790\) | 13.5224 | + | 4.11170i | 0.481105 | + | 0.146288i | ||||
\(791\) | −10.3915 | − | 10.3915i | −0.369479 | − | 0.369479i | ||||
\(792\) | −10.7340 | + | 7.98462i | −0.381416 | + | 0.283721i | ||||
\(793\) | 21.3062 | − | 21.3062i | 0.756606 | − | 0.756606i | ||||
\(794\) | −9.49345 | + | 5.06632i | −0.336910 | + | 0.179797i | ||||
\(795\) | −23.0797 | − | 59.5301i | −0.818552 | − | 2.11131i | ||||
\(796\) | −13.3244 | − | 8.92852i | −0.472272 | − | 0.316463i | ||||
\(797\) | 0.0224506 | + | 0.0292583i | 0.000795243 | + | 0.00103638i | 0.793751 | − | 0.608243i | \(-0.208125\pi\) |
−0.792956 | + | 0.609279i | \(0.791459\pi\) | |||||||
\(798\) | 6.47158 | + | 18.5022i | 0.229091 | + | 0.654972i | ||||
\(799\) | −10.5372 | − | 18.2509i | −0.372779 | − | 0.645672i | ||||
\(800\) | −8.43006 | + | 13.4576i | −0.298048 | + | 0.475798i | ||||
\(801\) | 27.6472 | − | 43.2015i | 0.976867 | − | 1.52645i | ||||
\(802\) | 2.33429 | − | 0.876809i | 0.0824266 | − | 0.0309612i | ||||
\(803\) | 6.52006 | − | 0.858382i | 0.230088 | − | 0.0302916i | ||||
\(804\) | 4.94170 | + | 3.47751i | 0.174280 | + | 0.122642i | ||||
\(805\) | −3.45090 | + | 26.2122i | −0.121628 | + | 0.923858i | ||||
\(806\) | 1.85397 | + | 1.15457i | 0.0653033 | + | 0.0406679i | ||||
\(807\) | 9.21627 | − | 31.4992i | 0.324428 | − | 1.10883i | ||||
\(808\) | 16.7276 | + | 37.1134i | 0.588473 | + | 1.30565i | ||||
\(809\) | −14.2848 | − | 14.2848i | −0.502227 | − | 0.502227i | 0.409903 | − | 0.912129i | \(-0.365563\pi\) |
−0.912129 | + | 0.409903i | \(0.865563\pi\) | |||||||
\(810\) | −32.9395 | − | 13.4074i | −1.15737 | − | 0.471090i | ||||
\(811\) | 11.3483 | + | 27.3972i | 0.398493 | + | 0.962046i | 0.988024 | + | 0.154301i | \(0.0493125\pi\) |
−0.589531 | + | 0.807746i | \(0.700688\pi\) | |||||||
\(812\) | −1.52443 | − | 23.7375i | −0.0534971 | − | 0.833023i | ||||
\(813\) | 1.66965 | − | 0.181122i | 0.0585570 | − | 0.00635223i | ||||
\(814\) | −7.38847 | − | 10.3250i | −0.258966 | − | 0.361890i | ||||
\(815\) | 43.8776 | + | 25.3328i | 1.53697 | + | 0.887368i | ||||
\(816\) | −36.0142 | + | 19.5869i | −1.26075 | + | 0.685677i | ||||
\(817\) | 2.06094 | − | 1.18988i | 0.0721030 | − | 0.0416287i | ||||
\(818\) | 22.1071 | + | 10.0341i | 0.772955 | + | 0.350835i | ||||
\(819\) | −15.5751 | + | 10.8582i | −0.544239 | + | 0.379418i | ||||
\(820\) | −41.7211 | + | 14.1011i | −1.45696 | + | 0.492433i | ||||
\(821\) | 3.58821 | − | 4.67625i | 0.125229 | − | 0.163202i | −0.726531 | − | 0.687134i | \(-0.758869\pi\) |
0.851760 | + | 0.523932i | \(0.175535\pi\) | |||||||
\(822\) | −2.22121 | + | 1.98449i | −0.0774736 | + | 0.0692170i | ||||
\(823\) | −41.5975 | + | 11.1460i | −1.45000 | + | 0.388526i | −0.896023 | − | 0.444007i | \(-0.853557\pi\) |
−0.553976 | + | 0.832533i | \(0.686890\pi\) | |||||||
\(824\) | 4.21936 | − | 17.9355i | 0.146988 | − | 0.624812i | ||||
\(825\) | 5.29537 | + | 5.54299i | 0.184361 | + | 0.192982i | ||||
\(826\) | −1.02954 | − | 1.92919i | −0.0358222 | − | 0.0671250i | ||||
\(827\) | 22.4652 | − | 9.30540i | 0.781193 | − | 0.323581i | 0.0437960 | − | 0.999040i | \(-0.486055\pi\) |
0.737397 | + | 0.675460i | \(0.236055\pi\) | |||||||
\(828\) | 22.8694 | + | 28.6922i | 0.794766 | + | 0.997123i | ||||
\(829\) | 8.38388 | − | 20.2405i | 0.291184 | − | 0.702981i | −0.708813 | − | 0.705397i | \(-0.750769\pi\) |
0.999997 | + | 0.00241577i | \(0.000768964\pi\) | |||||||
\(830\) | −26.3781 | + | 32.0987i | −0.915599 | + | 1.11416i | ||||
\(831\) | −5.08609 | − | 3.09346i | −0.176434 | − | 0.107311i | ||||
\(832\) | 30.9435 | + | 10.6405i | 1.07277 | + | 0.368892i | ||||
\(833\) | 13.6270 | − | 23.6027i | 0.472148 | − | 0.817785i | ||||
\(834\) | 37.7552 | + | 32.4993i | 1.30736 | + | 1.12536i | ||||
\(835\) | 60.2551 | − | 7.93273i | 2.08521 | − | 0.274524i | ||||
\(836\) | −10.7363 | − | 12.2749i | −0.371321 | − | 0.424538i | ||||
\(837\) | 1.92307 | + | 0.388680i | 0.0664709 | + | 0.0134348i | ||||
\(838\) | 11.5637 | + | 0.386183i | 0.399462 | + | 0.0133405i | ||||
\(839\) | 24.7076 | + | 6.62039i | 0.853002 | + | 0.228561i | 0.658723 | − | 0.752385i | \(-0.271097\pi\) |
0.194279 | + | 0.980946i | \(0.437763\pi\) | |||||||
\(840\) | 15.0945 | + | 14.8577i | 0.520811 | + | 0.512641i | ||||
\(841\) | 29.0560 | − | 7.78554i | 1.00193 | − | 0.268467i | ||||
\(842\) | 3.63096 | − | 0.844100i | 0.125131 | − | 0.0290896i | ||||
\(843\) | −3.70616 | + | 23.9160i | −0.127647 | + | 0.823712i | ||||
\(844\) | 39.0740 | + | 34.3582i | 1.34498 | + | 1.18266i | ||||
\(845\) | 9.62880 | + | 3.98838i | 0.331241 | + | 0.137204i | ||||
\(846\) | 0.782815 | + | 15.0899i | 0.0269137 | + | 0.518802i | ||||
\(847\) | 13.1741i | 0.452669i | ||||||||
\(848\) | 37.2163 | + | 37.4129i | 1.27801 | + | 1.28477i | ||||
\(849\) | 44.8374 | + | 1.02439i | 1.53882 | + | 0.0351571i | ||||
\(850\) | 13.6706 | + | 19.1039i | 0.468899 | + | 0.655260i | ||||
\(851\) | −27.6255 | + | 21.1978i | −0.946991 | + | 0.726652i | ||||
\(852\) | 14.2697 | − | 27.2557i | 0.488873 | − | 0.933766i | ||||
\(853\) | 10.9704 | − | 14.2969i | 0.375619 | − | 0.489517i | −0.566844 | − | 0.823825i | \(-0.691836\pi\) |
0.942464 | + | 0.334308i | \(0.108503\pi\) | |||||||
\(854\) | −11.7726 | + | 11.0117i | −0.402851 | + | 0.376813i | ||||
\(855\) | 13.1209 | − | 41.3183i | 0.448726 | − | 1.41306i | ||||
\(856\) | 1.82948 | − | 18.2061i | 0.0625305 | − | 0.622273i | ||||
\(857\) | 43.9763 | + | 11.7834i | 1.50220 | + | 0.402513i | 0.913836 | − | 0.406083i | \(-0.133106\pi\) |
0.588364 | + | 0.808596i | \(0.299772\pi\) | |||||||
\(858\) | 8.65435 | − | 13.2144i | 0.295455 | − | 0.451132i | ||||
\(859\) | −4.25432 | + | 32.3147i | −0.145155 | + | 1.10256i | 0.751468 | + | 0.659770i | \(0.229346\pi\) |
−0.896623 | + | 0.442795i | \(0.853987\pi\) | |||||||
\(860\) | 1.43143 | − | 2.13619i | 0.0488113 | − | 0.0728433i | ||||
\(861\) | 2.27776 | + | 20.9972i | 0.0776259 | + | 0.715583i | ||||
\(862\) | −19.3521 | − | 15.9032i | −0.659135 | − | 0.541665i | ||||
\(863\) | −19.9053 | −0.677583 | −0.338791 | − | 0.940862i | \(-0.610018\pi\) | ||||
−0.338791 | + | 0.940862i | \(0.610018\pi\) | |||||||
\(864\) | 29.3837 | − | 0.774508i | 0.999653 | − | 0.0263493i | ||||
\(865\) | 13.9164 | 0.473172 | ||||||||
\(866\) | 18.6193 | + | 15.3010i | 0.632709 | + | 0.519949i | ||||
\(867\) | 3.36492 | + | 31.0190i | 0.114279 | + | 1.05346i | ||||
\(868\) | −0.970678 | − | 0.650438i | −0.0329469 | − | 0.0220773i | ||||
\(869\) | −0.736067 | + | 5.59098i | −0.0249694 | + | 0.189661i | ||||
\(870\) | −28.8225 | + | 44.0092i | −0.977173 | + | 1.49205i | ||||
\(871\) | −6.89172 | − | 1.84663i | −0.233517 | − | 0.0625707i | ||||
\(872\) | −13.3978 | − | 16.3912i | −0.453707 | − | 0.555077i | ||||
\(873\) | 9.14759 | + | 10.0241i | 0.309599 | + | 0.339263i | ||||
\(874\) | −32.6642 | + | 30.5530i | −1.10488 | + | 1.03347i | ||||
\(875\) | −5.77123 | + | 7.52121i | −0.195103 | + | 0.254263i | ||||
\(876\) | −12.8010 | − | 6.70195i | −0.432505 | − | 0.226438i | ||||
\(877\) | −2.67560 | + | 2.05306i | −0.0903484 | + | 0.0693268i | −0.652948 | − | 0.757403i | \(-0.726468\pi\) |
0.562600 | + | 0.826730i | \(0.309801\pi\) | |||||||
\(878\) | −27.5226 | − | 38.4612i | −0.928842 | − | 1.29800i | ||||
\(879\) | −5.27213 | − | 0.120452i | −0.177824 | − | 0.00406273i | ||||
\(880\) | −16.2620 | − | 6.78621i | −0.548193 | − | 0.228763i | ||||
\(881\) | 11.8754i | 0.400091i | 0.979787 | + | 0.200045i | \(0.0641090\pi\) | ||||
−0.979787 | + | 0.200045i | \(0.935891\pi\) | |||||||
\(882\) | −16.3941 | + | 10.6341i | −0.552018 | + | 0.358069i | ||||
\(883\) | 2.03653 | + | 0.843558i | 0.0685347 | + | 0.0283880i | 0.416687 | − | 0.909050i | \(-0.363191\pi\) |
−0.348153 | + | 0.937438i | \(0.613191\pi\) | |||||||
\(884\) | 31.9641 | − | 36.3514i | 1.07507 | − | 1.22263i | ||||
\(885\) | −0.740614 | + | 4.77922i | −0.0248955 | + | 0.160652i | ||||
\(886\) | 42.0275 | − | 9.77025i | 1.41194 | − | 0.328238i | ||||
\(887\) | −4.06167 | + | 1.08832i | −0.136378 | + | 0.0365423i | −0.326362 | − | 0.945245i | \(-0.605823\pi\) |
0.189985 | + | 0.981787i | \(0.439156\pi\) | |||||||
\(888\) | 0.220535 | + | 27.8949i | 0.00740067 | + | 0.936091i | ||||
\(889\) | 26.8450 | + | 7.19309i | 0.900352 | + | 0.241248i | ||||
\(890\) | 67.5209 | + | 2.25493i | 2.26331 | + | 0.0755856i | ||||
\(891\) | 3.12803 | − | 13.8405i | 0.104793 | − | 0.463675i | ||||
\(892\) | −24.3598 | + | 21.3063i | −0.815627 | + | 0.713386i | ||||
\(893\) | −18.2616 | + | 2.40418i | −0.611101 | + | 0.0804530i | ||||
\(894\) | −8.37240 | − | 7.20688i | −0.280015 | − | 0.241034i | ||||
\(895\) | −4.29586 | + | 7.44065i | −0.143595 | + | 0.248714i | ||||
\(896\) | −16.3551 | − | 6.24187i | −0.546385 | − | 0.208526i | ||||
\(897\) | −37.0144 | − | 22.5129i | −1.23588 | − | 0.751684i | ||||
\(898\) | 13.0008 | − | 15.8203i | 0.433843 | − | 0.527930i | ||||
\(899\) | 1.11063 | − | 2.68130i | 0.0370416 | − | 0.0894265i | ||||
\(900\) | −2.50613 | − | 16.6557i | −0.0835377 | − | 0.555191i | ||||
\(901\) | 72.1226 | − | 29.8741i | 2.40275 | − | 0.995252i | ||||
\(902\) | −8.27293 | − | 15.5021i | −0.275458 | − | 0.516164i | ||||
\(903\) | −0.851859 | − | 0.891694i | −0.0283481 | − | 0.0296737i | ||||
\(904\) | −14.1406 | − | 22.8405i | −0.470311 | − | 0.759665i | ||||
\(905\) | −33.6119 | + | 9.00628i | −1.11730 | + | 0.299379i | ||||
\(906\) | 18.9016 | − | 16.8872i | 0.627963 | − | 0.561039i | ||||
\(907\) | 0.00312197 | − | 0.00406863i | 0.000103663 | − | 0.000135097i | −0.793302 | − | 0.608829i | \(-0.791640\pi\) |
0.793405 | + | 0.608694i | \(0.208306\pi\) | |||||||
\(908\) | 9.64017 | + | 28.5224i | 0.319920 | + | 0.946550i | ||||
\(909\) | −39.0954 | − | 18.3283i | −1.29671 | − | 0.607910i | ||||
\(910\) | −22.7724 | − | 10.3361i | −0.754899 | − | 0.342640i | ||||
\(911\) | 0.0594090 | − | 0.0342998i | 0.00196831 | − | 0.00113640i | −0.499016 | − | 0.866593i | \(-0.666305\pi\) |
0.500984 | + | 0.865457i | \(0.332972\pi\) | |||||||
\(912\) | 3.77035 | + | 35.6319i | 0.124849 | + | 1.17989i | ||||
\(913\) | −14.3560 | − | 8.28842i | −0.475113 | − | 0.274307i | ||||
\(914\) | 6.88421 | + | 9.62028i | 0.227709 | + | 0.318211i | ||||
\(915\) | 35.4439 | − | 3.84493i | 1.17174 | − | 0.127109i | ||||
\(916\) | −4.68042 | + | 0.300578i | −0.154645 | + | 0.00993138i | ||||
\(917\) | −8.48578 | − | 20.4865i | −0.280225 | − | 0.676523i | ||||
\(918\) | 15.4688 | − | 40.6382i | 0.510547 | − | 1.34126i | ||||
\(919\) | −18.1802 | − | 18.1802i | −0.599710 | − | 0.599710i | 0.340525 | − | 0.940235i | \(-0.389395\pi\) |
−0.940235 | + | 0.340525i | \(0.889395\pi\) | |||||||
\(920\) | −17.1131 | + | 45.1973i | −0.564203 | + | 1.49011i | ||||
\(921\) | −16.0627 | + | 54.8990i | −0.529285 | + | 1.80898i | ||||
\(922\) | 37.8363 | + | 23.5627i | 1.24607 | + | 0.775996i | ||||
\(923\) | −4.74150 | + | 36.0152i | −0.156068 | + | 1.18546i | ||||
\(924\) | −4.86334 | + | 6.91103i | −0.159992 | + | 0.227356i | ||||
\(925\) | 15.8480 | − | 2.08643i | 0.521080 | − | 0.0686014i | ||||
\(926\) | 26.9641 | − | 10.1283i | 0.886094 | − | 0.332836i | ||||
\(927\) | 8.98825 | + | 17.3531i | 0.295213 | + | 0.569952i | ||||
\(928\) | 7.22411 | − | 42.8766i | 0.237143 | − | 1.40749i | ||||
\(929\) | 0.903501 | + | 1.56491i | 0.0296429 | + | 0.0513430i | 0.880466 | − | 0.474109i | \(-0.157230\pi\) |
−0.850823 | + | 0.525452i | \(0.823896\pi\) | |||||||
\(930\) | 0.853206 | + | 2.43931i | 0.0279777 | + | 0.0799882i | ||||
\(931\) | −14.5009 | − | 18.8979i | −0.475246 | − | 0.619353i | ||||
\(932\) | 1.77574 | − | 2.65003i | 0.0581665 | − | 0.0868045i | ||||
\(933\) | −4.07340 | − | 10.5066i | −0.133357 | − | 0.343972i | ||||
\(934\) | −41.3575 | + | 22.0710i | −1.35326 | + | 0.722185i | ||||
\(935\) | −18.4323 | + | 18.4323i | −0.602802 | + | 0.602802i | ||||
\(936\) | −32.2597 | + | 12.8013i | −1.05444 | + | 0.418423i | ||||
\(937\) | 11.6502 | + | 11.6502i | 0.380596 | + | 0.380596i | 0.871317 | − | 0.490721i | \(-0.163267\pi\) |
−0.490721 | + | 0.871317i | \(0.663267\pi\) | |||||||
\(938\) | 3.65194 | + | 1.11043i | 0.119240 | + | 0.0362569i | ||||
\(939\) | −2.05830 | + | 13.2823i | −0.0671701 | + | 0.433452i | ||||
\(940\) | −16.5630 | + | 11.0355i | −0.540227 | + | 0.359939i | ||||
\(941\) | −17.9330 | + | 13.7605i | −0.584600 | + | 0.448579i | −0.858237 | − | 0.513254i | \(-0.828440\pi\) |
0.273637 | + | 0.961833i | \(0.411773\pi\) | |||||||
\(942\) | −1.93383 | − | 25.8491i | −0.0630075 | − | 0.842208i | ||||
\(943\) | −41.7358 | + | 24.0962i | −1.35910 | + | 0.784679i | ||||
\(944\) | −1.02439 | − | 3.86376i | −0.0333410 | − | 0.125755i | ||||
\(945\) | −22.4122 | − | 1.53829i | −0.729068 | − | 0.0500404i | ||||
\(946\) | 0.934251 | + | 0.424046i | 0.0303751 | + | 0.0137869i | ||||
\(947\) | −5.14099 | − | 39.0497i | −0.167060 | − | 1.26894i | −0.845375 | − | 0.534173i | \(-0.820623\pi\) |
0.678315 | − | 0.734771i | \(-0.262710\pi\) | |||||||
\(948\) | 8.39218 | − | 9.11547i | 0.272565 | − | 0.296057i | ||||
\(949\) | 16.9150 | + | 2.22690i | 0.549084 | + | 0.0722883i | ||||
\(950\) | 19.9984 | − | 4.64909i | 0.648834 | − | 0.150836i | ||||
\(951\) | 3.31707 | + | 13.6163i | 0.107564 | + | 0.441538i | ||||
\(952\) | −17.7399 | + | 18.8659i | −0.574955 | + | 0.611446i | ||||
\(953\) | −27.0577 | + | 27.0577i | −0.876485 | + | 0.876485i | −0.993169 | − | 0.116684i | \(-0.962774\pi\) |
0.116684 | + | 0.993169i | \(0.462774\pi\) | |||||||
\(954\) | −55.7972 | − | 4.42107i | −1.80650 | − | 0.143138i | ||||
\(955\) | 22.0050 | − | 9.11478i | 0.712066 | − | 0.294947i | ||||
\(956\) | −2.91291 | + | 8.54417i | −0.0942104 | + | 0.276338i | ||||
\(957\) | −19.2037 | − | 8.47335i | −0.620767 | − | 0.273905i | ||||
\(958\) | −49.8507 | − | 8.26412i | −1.61060 | − | 0.267002i | ||||
\(959\) | −0.940761 | + | 1.62945i | −0.0303788 | + | 0.0526176i | ||||
\(960\) | 20.6396 | + | 32.7565i | 0.666141 | + | 1.05721i | ||||
\(961\) | 15.4287 | + | 26.7233i | 0.497701 | + | 0.862043i | ||||
\(962\) | −11.5821 | − | 30.8344i | −0.373420 | − | 0.994140i | ||||
\(963\) | 11.0992 | + | 15.9207i | 0.357666 | + | 0.513038i | ||||
\(964\) | −18.7129 | − | 21.3947i | −0.602700 | − | 0.689077i | ||||
\(965\) | −59.7855 | − | 45.8750i | −1.92456 | − | 1.47677i | ||||
\(966\) | 19.3891 | + | 12.6983i | 0.623835 | + | 0.408561i | ||||
\(967\) | 15.7919 | + | 58.9361i | 0.507833 | + | 1.89526i | 0.441032 | + | 0.897491i | \(0.354612\pi\) |
0.0668005 | + | 0.997766i | \(0.478721\pi\) | |||||||
\(968\) | −5.51479 | + | 23.4420i | −0.177252 | + | 0.753456i | ||||
\(969\) | 50.8722 | + | 14.8846i | 1.63425 | + | 0.478161i | ||||
\(970\) | −5.20003 | + | 17.1016i | −0.166963 | + | 0.549100i | ||||
\(971\) | −12.5728 | − | 30.3535i | −0.403481 | − | 0.974089i | −0.986814 | − | 0.161856i | \(-0.948252\pi\) |
0.583333 | − | 0.812233i | \(-0.301748\pi\) | |||||||
\(972\) | −23.1214 | + | 20.9141i | −0.741619 | + | 0.670822i | ||||
\(973\) | 29.0728 | + | 12.0423i | 0.932030 | + | 0.386059i | ||||
\(974\) | −0.928350 | − | 9.48978i | −0.0297463 | − | 0.304072i | ||||
\(975\) | 9.54782 | + | 17.4458i | 0.305775 | + | 0.558713i | ||||
\(976\) | −25.5578 | + | 14.6661i | −0.818084 | + | 0.469451i | ||||
\(977\) | 32.2122 | + | 18.5977i | 1.03056 | + | 0.594995i | 0.917145 | − | 0.398553i | \(-0.130488\pi\) |
0.113416 | + | 0.993548i | \(0.463821\pi\) | |||||||
\(978\) | 36.7015 | − | 25.0158i | 1.17358 | − | 0.799918i | ||||
\(979\) | 3.51838 | + | 26.7247i | 0.112448 | + | 0.854126i | ||||
\(980\) | −23.0694 | − | 11.4144i | −0.736925 | − | 0.364619i | ||||
\(981\) | 22.1051 | + | 3.94453i | 0.705762 | + | 0.125939i | ||||
\(982\) | 15.1682 | − | 14.1878i | 0.484036 | − | 0.452751i | ||||
\(983\) | 0.771733 | − | 2.88015i | 0.0246145 | − | 0.0918624i | −0.952526 | − | 0.304457i | \(-0.901525\pi\) |
0.977140 | + | 0.212595i | \(0.0681915\pi\) | |||||||
\(984\) | −4.73653 | + | 38.3159i | −0.150995 | + | 1.22147i | ||||
\(985\) | 6.02474 | + | 22.4846i | 0.191964 | + | 0.716420i | ||||
\(986\) | −54.6000 | − | 34.0023i | −1.73882 | − | 1.08285i | ||||
\(987\) | 3.45029 | + | 8.89943i | 0.109824 | + | 0.283272i | ||||
\(988\) | −18.6620 | − | 37.9688i | −0.593716 | − | 1.20795i | ||||
\(989\) | 1.07683 | − | 2.59971i | 0.0342414 | − | 0.0826659i | ||||
\(990\) | 17.7784 | − | 5.76614i | 0.565034 | − | 0.183260i | ||||
\(991\) | 17.8473 | 0.566938 | 0.283469 | − | 0.958981i | \(-0.408515\pi\) | ||||
0.283469 | + | 0.958981i | \(0.408515\pi\) | |||||||
\(992\) | −1.45494 | − | 1.56372i | −0.0461945 | − | 0.0496481i | ||||
\(993\) | 5.67078 | + | 3.44908i | 0.179957 | + | 0.109453i | ||||
\(994\) | 3.17832 | − | 19.1722i | 0.100810 | − | 0.608106i | ||||
\(995\) | 13.6411 | + | 17.7775i | 0.432453 | + | 0.563583i | ||||
\(996\) | 15.3152 | + | 33.0456i | 0.485282 | + | 1.04709i | ||||
\(997\) | −28.6012 | − | 21.9465i | −0.905809 | − | 0.695052i | 0.0469118 | − | 0.998899i | \(-0.485062\pi\) |
−0.952721 | + | 0.303847i | \(0.901729\pi\) | |||||||
\(998\) | −0.747002 | + | 22.3680i | −0.0236459 | + | 0.708045i | ||||
\(999\) | −19.4401 | − | 22.3053i | −0.615057 | − | 0.705709i |
(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 | 288.2.bc.a.13.14 | ✓ | 368 | |
3.2 | odd | 2 | 864.2.bk.a.685.33 | 368 | |||
9.2 | odd | 6 | 864.2.bk.a.397.3 | 368 | |||
9.7 | even | 3 | inner | 288.2.bc.a.205.44 | yes | 368 | |
32.5 | even | 8 | inner | 288.2.bc.a.229.44 | yes | 368 | |
96.5 | odd | 8 | 864.2.bk.a.37.3 | 368 | |||
288.101 | odd | 24 | 864.2.bk.a.613.33 | 368 | |||
288.133 | even | 24 | inner | 288.2.bc.a.133.14 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bc.a.13.14 | ✓ | 368 | 1.1 | even | 1 | trivial | |
288.2.bc.a.133.14 | yes | 368 | 288.133 | even | 24 | inner | |
288.2.bc.a.205.44 | yes | 368 | 9.7 | even | 3 | inner | |
288.2.bc.a.229.44 | yes | 368 | 32.5 | even | 8 | inner | |
864.2.bk.a.37.3 | 368 | 96.5 | odd | 8 | |||
864.2.bk.a.397.3 | 368 | 9.2 | odd | 6 | |||
864.2.bk.a.613.33 | 368 | 288.101 | odd | 24 | |||
864.2.bk.a.685.33 | 368 | 3.2 | odd | 2 |