Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [864,2,Mod(37,864)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(864, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("864.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 864 = 2^{5} \cdot 3^{3} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 864.bk (of order \(24\), degree \(8\), not 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: | \(6.89907473464\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{24})\) |
Twist minimal: | no (minimal twist has level 288) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 37.11 | ||
Character | \(\chi\) | \(=\) | 864.37 |
Dual form | 864.2.bk.a.397.11 |
$q$-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 \(\left(\mathbb{Z}/864\mathbb{Z}\right)^\times\).
\(n\) | \(325\) | \(353\) | \(703\) |
\(\chi(n)\) | \(e\left(\frac{1}{8}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.930084 | − | 1.06534i | −0.657669 | − | 0.753307i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.269888 | + | 1.98171i | −0.134944 | + | 0.990853i | ||||
\(5\) | −2.36155 | + | 1.81208i | −1.05612 | + | 0.810388i | −0.982381 | − | 0.186890i | \(-0.940159\pi\) |
−0.0737371 | + | 0.997278i | \(0.523493\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.338610 | − | 1.26371i | 0.127982 | − | 0.477637i | −0.871946 | − | 0.489602i | \(-0.837142\pi\) |
0.999928 | + | 0.0119650i | \(0.00380868\pi\) | |||||||
\(8\) | 2.36221 | − | 1.55563i | 0.835166 | − | 0.549998i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 4.12692 | + | 0.830461i | 1.30505 | + | 0.262615i | ||||
\(11\) | 2.23430 | − | 0.294152i | 0.673668 | − | 0.0886900i | 0.214071 | − | 0.976818i | \(-0.431327\pi\) |
0.459596 | + | 0.888128i | \(0.347994\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.513433 | − | 3.89991i | 0.142401 | − | 1.08164i | −0.759748 | − | 0.650217i | \(-0.774678\pi\) |
0.902149 | − | 0.431424i | \(-0.141989\pi\) | |||||||
\(14\) | −1.66121 | + | 0.814622i | −0.443978 | + | 0.217717i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.85432 | − | 1.06968i | −0.963580 | − | 0.267420i | ||||
\(17\) | 1.90675i | 0.462454i | 0.972900 | + | 0.231227i | \(0.0742740\pi\) | ||||
−0.972900 | + | 0.231227i | \(0.925726\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −3.62937 | + | 1.50334i | −0.832635 | + | 0.344889i | −0.757945 | − | 0.652318i | \(-0.773797\pi\) |
−0.0746898 | + | 0.997207i | \(0.523797\pi\) | |||||||
\(20\) | −2.95366 | − | 5.16896i | −0.660458 | − | 1.15582i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −2.39146 | − | 2.10670i | −0.509861 | − | 0.449150i | ||||
\(23\) | 1.29540 | + | 4.83449i | 0.270109 | + | 1.00806i | 0.959048 | + | 0.283242i | \(0.0914100\pi\) |
−0.688939 | + | 0.724819i | \(0.741923\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.999188 | − | 3.72902i | 0.199838 | − | 0.745804i | ||||
\(26\) | −4.63226 | + | 3.08027i | −0.908461 | + | 0.604090i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.41291 | + | 1.01209i | 0.455998 | + | 0.191266i | ||||
\(29\) | 3.13573 | − | 4.08657i | 0.582291 | − | 0.758856i | −0.405593 | − | 0.914054i | \(-0.632935\pi\) |
0.987883 | + | 0.155198i | \(0.0496015\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −5.15305 | + | 8.92535i | −0.925516 | + | 1.60304i | −0.134786 | + | 0.990875i | \(0.543035\pi\) |
−0.790730 | + | 0.612166i | \(0.790299\pi\) | |||||||
\(32\) | 2.44527 | + | 5.10104i | 0.432267 | + | 0.901746i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 2.03133 | − | 1.77343i | 0.348370 | − | 0.304141i | ||||
\(35\) | 1.49030 | + | 3.59790i | 0.251907 | + | 0.608157i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 5.79919 | + | 2.40210i | 0.953381 | + | 0.394903i | 0.804501 | − | 0.593952i | \(-0.202433\pi\) |
0.148880 | + | 0.988855i | \(0.452433\pi\) | |||||||
\(38\) | 4.97718 | + | 2.46828i | 0.807405 | + | 0.400408i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −2.75954 | + | 7.95421i | −0.436321 | + | 1.25767i | ||||
\(41\) | 2.12378 | + | 7.92607i | 0.331679 | + | 1.23784i | 0.907425 | + | 0.420215i | \(0.138045\pi\) |
−0.575745 | + | 0.817629i | \(0.695288\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 7.51451 | − | 0.989304i | 1.14595 | − | 0.150867i | 0.466455 | − | 0.884545i | \(-0.345531\pi\) |
0.679498 | + | 0.733678i | \(0.262198\pi\) | |||||||
\(44\) | −0.0200906 | + | 4.50712i | −0.00302878 | + | 0.679474i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.94554 | − | 5.87652i | 0.581738 | − | 0.866445i | ||||
\(47\) | −3.53204 | + | 2.03922i | −0.515201 | + | 0.297451i | −0.734969 | − | 0.678101i | \(-0.762803\pi\) |
0.219768 | + | 0.975552i | \(0.429470\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 4.57987 | + | 2.64419i | 0.654268 | + | 0.377742i | ||||
\(50\) | −4.90200 | + | 2.40383i | −0.693247 | + | 0.339953i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 7.58991 | + | 2.07002i | 1.05253 | + | 0.287060i | ||||
\(53\) | −4.38473 | + | 10.5857i | −0.602289 | + | 1.45406i | 0.268929 | + | 0.963160i | \(0.413330\pi\) |
−0.871219 | + | 0.490895i | \(0.836670\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −4.74339 | + | 4.74339i | −0.639599 | + | 0.639599i | ||||
\(56\) | −1.16600 | − | 3.51189i | −0.155813 | − | 0.469296i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −7.27007 | + | 0.460235i | −0.954606 | + | 0.0604318i | ||||
\(59\) | 1.38929 | − | 1.06604i | 0.180871 | − | 0.138787i | −0.514358 | − | 0.857576i | \(-0.671970\pi\) |
0.695229 | + | 0.718789i | \(0.255303\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −1.65646 | + | 2.15874i | −0.212088 | + | 0.276399i | −0.887268 | − | 0.461255i | \(-0.847399\pi\) |
0.675180 | + | 0.737653i | \(0.264066\pi\) | |||||||
\(62\) | 14.3013 | − | 2.81158i | 1.81626 | − | 0.357071i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 3.16003 | − | 7.34944i | 0.395003 | − | 0.918680i | ||||
\(65\) | 5.85447 | + | 10.1402i | 0.726157 | + | 1.25774i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.88539 | + | 1.30144i | 1.20769 | + | 0.158996i | 0.707370 | − | 0.706843i | \(-0.249881\pi\) |
0.500323 | + | 0.865839i | \(0.333215\pi\) | |||||||
\(68\) | −3.77861 | − | 0.514609i | −0.458224 | − | 0.0624055i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.44688 | − | 4.93402i | 0.292458 | − | 0.589729i | ||||
\(71\) | −10.8773 | − | 10.8773i | −1.29090 | − | 1.29090i | −0.934230 | − | 0.356671i | \(-0.883912\pi\) |
−0.356671 | − | 0.934230i | \(-0.616088\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −8.05693 | + | 8.05693i | −0.942992 | + | 0.942992i | −0.998460 | − | 0.0554684i | \(-0.982335\pi\) |
0.0554684 | + | 0.998460i | \(0.482335\pi\) | |||||||
\(74\) | −2.83468 | − | 8.41225i | −0.329525 | − | 0.977905i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.99964 | − | 7.59808i | −0.229375 | − | 0.871560i | ||||
\(77\) | 0.384835 | − | 2.92311i | 0.0438560 | − | 0.333119i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −4.83346 | + | 2.79060i | −0.543806 | + | 0.313967i | −0.746620 | − | 0.665251i | \(-0.768325\pi\) |
0.202814 | + | 0.979217i | \(0.434991\pi\) | |||||||
\(80\) | 11.0405 | − | 4.45824i | 1.23437 | − | 0.498447i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 6.46864 | − | 9.63445i | 0.714342 | − | 1.06395i | ||||
\(83\) | 1.05266 | + | 0.807735i | 0.115544 | + | 0.0886604i | 0.664917 | − | 0.746917i | \(-0.268467\pi\) |
−0.549373 | + | 0.835577i | \(0.685133\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −3.45518 | − | 4.50288i | −0.374767 | − | 0.488406i | ||||
\(86\) | −8.04307 | − | 7.08536i | −0.867306 | − | 0.764034i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | 4.82029 | − | 4.17060i | 0.513845 | − | 0.444587i | ||||
\(89\) | 2.84277 | + | 2.84277i | 0.301333 | + | 0.301333i | 0.841535 | − | 0.540202i | \(-0.181652\pi\) |
−0.540202 | + | 0.841535i | \(0.681652\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.75450 | − | 1.96938i | −0.498407 | − | 0.206447i | ||||
\(92\) | −9.93015 | + | 1.26232i | −1.03529 | + | 0.131606i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 5.45756 | + | 1.86617i | 0.562904 | + | 0.192480i | ||||
\(95\) | 5.84678 | − | 10.1269i | 0.599867 | − | 1.03900i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 4.30984 | + | 7.46486i | 0.437598 | + | 0.757942i | 0.997504 | − | 0.0706143i | \(-0.0224960\pi\) |
−0.559906 | + | 0.828556i | \(0.689163\pi\) | |||||||
\(98\) | −1.44271 | − | 7.33843i | −0.145736 | − | 0.741293i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 7.12016 | + | 2.98652i | 0.712016 | + | 0.298652i | ||||
\(101\) | 1.03455 | + | 7.85821i | 0.102942 | + | 0.781921i | 0.962576 | + | 0.271011i | \(0.0873580\pi\) |
−0.859634 | + | 0.510910i | \(0.829309\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −9.77856 | + | 2.62016i | −0.963510 | + | 0.258172i | −0.706085 | − | 0.708127i | \(-0.749541\pi\) |
−0.257424 | + | 0.966298i | \(0.582874\pi\) | |||||||
\(104\) | −4.85399 | − | 10.0111i | −0.475973 | − | 0.981670i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 15.3555 | − | 5.17435i | 1.49146 | − | 0.502577i | ||||
\(107\) | 0.810493 | − | 1.95670i | 0.0783533 | − | 0.189162i | −0.879849 | − | 0.475254i | \(-0.842356\pi\) |
0.958202 | + | 0.286092i | \(0.0923563\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 14.7640 | − | 6.11543i | 1.41413 | − | 0.585752i | 0.460752 | − | 0.887529i | \(-0.347580\pi\) |
0.953379 | + | 0.301776i | \(0.0975796\pi\) | |||||||
\(110\) | 9.46507 | + | 0.641563i | 0.902459 | + | 0.0611706i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.65687 | + | 4.50854i | −0.251051 | + | 0.426017i | ||||
\(113\) | 3.74045 | + | 2.15955i | 0.351872 | + | 0.203153i | 0.665509 | − | 0.746389i | \(-0.268214\pi\) |
−0.313637 | + | 0.949543i | \(0.601548\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −11.8196 | − | 9.06953i | −1.10219 | − | 0.845738i | ||||
\(116\) | 7.25208 | + | 7.31702i | 0.673338 | + | 0.679368i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −2.42785 | − | 0.488558i | −0.223502 | − | 0.0449754i | ||||
\(119\) | 2.40957 | + | 0.645643i | 0.220885 | + | 0.0591860i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.71960 | + | 1.53256i | −0.519964 | + | 0.139324i | ||||
\(122\) | 3.84044 | − | 0.243121i | 0.347697 | − | 0.0220111i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −16.2967 | − | 12.6207i | −1.46348 | − | 1.13337i | ||||
\(125\) | −1.29795 | − | 3.13354i | −0.116092 | − | 0.280272i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | 7.24850 | 0.643200 | 0.321600 | − | 0.946876i | \(-0.395779\pi\) | ||||
0.321600 | + | 0.946876i | \(0.395779\pi\) | |||||||
\(128\) | −10.7687 | + | 3.46910i | −0.951830 | + | 0.306628i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 5.35763 | − | 15.6682i | 0.469895 | − | 1.37420i | ||||
\(131\) | 16.5149 | + | 2.17423i | 1.44292 | + | 0.189963i | 0.810987 | − | 0.585064i | \(-0.198931\pi\) |
0.631928 | + | 0.775027i | \(0.282264\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 0.670837 | + | 5.09552i | 0.0581690 | + | 0.441837i | ||||
\(134\) | −7.80777 | − | 11.7417i | −0.674489 | − | 1.01433i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 2.96619 | + | 4.50413i | 0.254349 | + | 0.386226i | ||||
\(137\) | 13.3227 | + | 3.56981i | 1.13824 | + | 0.304990i | 0.778242 | − | 0.627964i | \(-0.216112\pi\) |
0.359995 | + | 0.932954i | \(0.382778\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 4.84849 | + | 6.31867i | 0.411243 | + | 0.535943i | 0.952348 | − | 0.305012i | \(-0.0986606\pi\) |
−0.541105 | + | 0.840955i | \(0.681994\pi\) | |||||||
\(140\) | −7.53220 | + | 1.98230i | −0.636587 | + | 0.167535i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.47120 | + | 21.7049i | −0.123460 | + | 1.82143i | ||||
\(143\) | − | 8.86462i | − | 0.741296i | ||||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 15.3328i | 1.27332i | ||||||||
\(146\) | 16.0770 | + | 1.08973i | 1.33054 | + | 0.0901868i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −6.32540 | + | 10.8440i | −0.519945 | + | 0.891371i | ||||
\(149\) | −6.44398 | − | 8.39796i | −0.527912 | − | 0.687988i | 0.450941 | − | 0.892554i | \(-0.351088\pi\) |
−0.978853 | + | 0.204566i | \(0.934422\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −16.0157 | − | 4.29139i | −1.30334 | − | 0.349228i | −0.460626 | − | 0.887594i | \(-0.652375\pi\) |
−0.842711 | + | 0.538366i | \(0.819042\pi\) | |||||||
\(152\) | −6.23469 | + | 9.19715i | −0.505700 | + | 0.745987i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −3.47203 | + | 2.30876i | −0.279784 | + | 0.186045i | ||||
\(155\) | −4.00427 | − | 30.4154i | −0.321631 | − | 2.44303i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 1.67848 | + | 0.220977i | 0.133958 | + | 0.0176358i | 0.197207 | − | 0.980362i | \(-0.436813\pi\) |
−0.0632492 | + | 0.997998i | \(0.520146\pi\) | |||||||
\(158\) | 7.46845 | + | 2.55377i | 0.594158 | + | 0.203167i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −15.0181 | − | 7.61535i | −1.18729 | − | 0.602046i | ||||
\(161\) | 6.54802 | 0.516057 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −3.52458 | − | 8.50908i | −0.276066 | − | 0.666483i | 0.723653 | − | 0.690164i | \(-0.242461\pi\) |
−0.999720 | + | 0.0236810i | \(0.992461\pi\) | |||||||
\(164\) | −16.2803 | + | 2.06956i | −1.27128 | + | 0.161606i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.118552 | − | 1.87270i | −0.00920143 | − | 0.145350i | ||||
\(167\) | 6.60936 | − | 1.77097i | 0.511448 | − | 0.137042i | 0.00613998 | − | 0.999981i | \(-0.498046\pi\) |
0.505308 | + | 0.862939i | \(0.331379\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −2.38868 | − | 0.640045i | −0.183745 | − | 0.0492342i | ||||
\(170\) | −1.58348 | + | 7.86899i | −0.121447 | + | 0.603524i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −0.0675698 | + | 15.1586i | −0.00515215 | + | 1.15583i | ||||
\(173\) | 0.233277 | + | 0.179000i | 0.0177357 | + | 0.0136091i | 0.617591 | − | 0.786499i | \(-0.288109\pi\) |
−0.599856 | + | 0.800108i | \(0.704775\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −4.37406 | − | 2.52537i | −0.330648 | − | 0.190900i | ||||
\(176\) | −8.92637 | − | 1.25623i | −0.672850 | − | 0.0946922i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 0.384496 | − | 5.67253i | 0.0288192 | − | 0.425174i | ||||
\(179\) | −12.0433 | + | 4.98852i | −0.900162 | + | 0.372859i | −0.784282 | − | 0.620404i | \(-0.786969\pi\) |
−0.115879 | + | 0.993263i | \(0.536969\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −2.44513 | + | 5.90306i | −0.181745 | + | 0.438771i | −0.988326 | − | 0.152352i | \(-0.951315\pi\) |
0.806581 | + | 0.591123i | \(0.201315\pi\) | |||||||
\(182\) | 2.32403 | + | 6.89684i | 0.172269 | + | 0.511228i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 10.5807 | + | 9.40490i | 0.780018 | + | 0.693338i | ||||
\(185\) | −18.0479 | + | 4.83592i | −1.32691 | + | 0.355544i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.560873 | + | 4.26025i | 0.0410151 | + | 0.311540i | ||||
\(188\) | −3.08789 | − | 7.54983i | −0.225207 | − | 0.550628i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −16.2266 | + | 3.19009i | −1.17720 | + | 0.231434i | ||||
\(191\) | 3.97607 | + | 6.88675i | 0.287698 | + | 0.498308i | 0.973260 | − | 0.229707i | \(-0.0737767\pi\) |
−0.685562 | + | 0.728014i | \(0.740443\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −12.9475 | + | 22.4257i | −0.931979 | + | 1.61424i | −0.152046 | + | 0.988373i | \(0.548586\pi\) |
−0.779934 | + | 0.625862i | \(0.784747\pi\) | |||||||
\(194\) | 3.94409 | − | 11.5344i | 0.283169 | − | 0.828121i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.47607 | + | 8.36233i | −0.462576 | + | 0.597309i | ||||
\(197\) | −5.95844 | − | 2.46807i | −0.424521 | − | 0.175843i | 0.160186 | − | 0.987087i | \(-0.448791\pi\) |
−0.584707 | + | 0.811244i | \(0.698791\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −4.98853 | − | 4.98853i | −0.353628 | − | 0.353628i | 0.507830 | − | 0.861457i | \(-0.330448\pi\) |
−0.861457 | + | 0.507830i | \(0.830448\pi\) | |||||||
\(200\) | −3.44069 | − | 10.3631i | −0.243294 | − | 0.732781i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.40942 | − | 8.41094i | 0.521325 | − | 0.591792i | ||||
\(203\) | −4.10244 | − | 5.34641i | −0.287935 | − | 0.375244i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −19.3781 | − | 14.8693i | −1.35343 | − | 1.03852i | ||||
\(206\) | 11.8862 | + | 7.98050i | 0.828153 | + | 0.556028i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −6.15059 | + | 14.4823i | −0.426467 | + | 1.00417i | ||||
\(209\) | −7.66691 | + | 4.42649i | −0.530331 | + | 0.306187i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 2.59652 | − | 19.7225i | 0.178752 | − | 1.35776i | −0.633180 | − | 0.774004i | \(-0.718251\pi\) |
0.811932 | − | 0.583752i | \(-0.198416\pi\) | |||||||
\(212\) | −19.7943 | − | 11.5462i | −1.35948 | − | 0.792997i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −2.83837 | + | 0.956449i | −0.194027 | + | 0.0653815i | ||||
\(215\) | −15.9532 | + | 15.9532i | −1.08800 | + | 1.08800i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 9.53417 | + | 9.53417i | 0.647222 | + | 0.647222i | ||||
\(218\) | −20.2467 | − | 10.0407i | −1.37128 | − | 0.680045i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −8.11983 | − | 10.6802i | −0.547439 | − | 0.720059i | ||||
\(221\) | 7.43615 | + | 0.978987i | 0.500209 | + | 0.0658538i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −4.24938 | − | 7.36013i | −0.284559 | − | 0.492871i | 0.687943 | − | 0.725765i | \(-0.258514\pi\) |
−0.972502 | + | 0.232894i | \(0.925181\pi\) | |||||||
\(224\) | 7.27423 | − | 1.36285i | 0.486030 | − | 0.0910591i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.17828 | − | 5.99340i | −0.0783782 | − | 0.398675i | ||||
\(227\) | −6.71686 | + | 8.75359i | −0.445814 | + | 0.580996i | −0.961162 | − | 0.275985i | \(-0.910996\pi\) |
0.515348 | + | 0.856981i | \(0.327663\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 4.97071 | − | 3.81416i | 0.328474 | − | 0.252047i | −0.431337 | − | 0.902191i | \(-0.641958\pi\) |
0.759811 | + | 0.650144i | \(0.225291\pi\) | |||||||
\(230\) | 1.33115 | + | 21.0273i | 0.0877731 | + | 1.38650i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 1.05006 | − | 14.5313i | 0.0689396 | − | 0.954030i | ||||
\(233\) | 19.6950 | − | 19.6950i | 1.29026 | − | 1.29026i | 0.355635 | − | 0.934625i | \(-0.384265\pi\) |
0.934625 | − | 0.355635i | \(-0.115735\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 4.64585 | − | 11.2161i | 0.303062 | − | 0.731657i | ||||
\(236\) | 1.73763 | + | 3.04088i | 0.113110 | + | 0.197945i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −1.55328 | − | 3.16751i | −0.100684 | − | 0.205319i | ||||
\(239\) | −1.21666 | − | 0.702439i | −0.0786992 | − | 0.0454370i | 0.460134 | − | 0.887849i | \(-0.347801\pi\) |
−0.538833 | + | 0.842412i | \(0.681135\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 25.4367 | − | 14.6859i | 1.63852 | − | 0.946001i | 0.657178 | − | 0.753735i | \(-0.271750\pi\) |
0.981343 | − | 0.192266i | \(-0.0615835\pi\) | |||||||
\(242\) | 6.95240 | + | 4.66789i | 0.446917 | + | 0.300064i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −3.83093 | − | 3.86524i | −0.245250 | − | 0.247447i | ||||
\(245\) | −15.6071 | + | 2.05471i | −0.997101 | + | 0.131271i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.99944 | + | 14.9261i | 0.254478 | + | 0.949725i | ||||
\(248\) | 1.71198 | + | 29.0998i | 0.108711 | + | 1.84784i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | −2.13107 | + | 4.29721i | −0.134781 | + | 0.271779i | ||||
\(251\) | −17.0078 | − | 7.04486i | −1.07352 | − | 0.444668i | −0.225290 | − | 0.974292i | \(-0.572333\pi\) |
−0.848233 | + | 0.529624i | \(0.822333\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 4.31638 | + | 10.4207i | 0.271369 | + | 0.655142i | ||||
\(254\) | −6.74171 | − | 7.72210i | −0.423012 | − | 0.484527i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.7116 | + | 8.24578i | 0.856973 | + | 0.515361i | ||||
\(257\) | 15.0326 | − | 26.0373i | 0.937709 | − | 1.62416i | 0.167980 | − | 0.985790i | \(-0.446276\pi\) |
0.769730 | − | 0.638370i | \(-0.220391\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 4.99922 | − | 6.51511i | 0.310637 | − | 0.404830i | ||||
\(260\) | −21.6750 | + | 8.86510i | −1.34423 | + | 0.549790i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −13.0440 | − | 19.6162i | −0.805859 | − | 1.21189i | ||||
\(263\) | −4.63339 | + | 17.2920i | −0.285707 | + | 1.06627i | 0.662614 | + | 0.748961i | \(0.269447\pi\) |
−0.948321 | + | 0.317312i | \(0.897220\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.82735 | − | 32.9441i | −0.542260 | − | 2.02374i | ||||
\(266\) | 4.80451 | − | 5.45392i | 0.294583 | − | 0.334402i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | −5.24702 | + | 19.2387i | −0.320513 | + | 1.17519i | ||||
\(269\) | −4.26202 | + | 1.76539i | −0.259860 | + | 0.107638i | −0.508810 | − | 0.860879i | \(-0.669915\pi\) |
0.248950 | + | 0.968516i | \(0.419915\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | − | 24.9388i | − | 1.51492i | −0.652881 | − | 0.757461i | \(-0.726440\pi\) | ||
0.652881 | − | 0.757461i | \(-0.273560\pi\) | |||||||
\(272\) | 2.03961 | − | 7.34921i | 0.123669 | − | 0.445611i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −8.58819 | − | 17.5134i | −0.518832 | − | 1.05802i | ||||
\(275\) | 1.13559 | − | 8.62568i | 0.0684788 | − | 0.520148i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | 15.6557 | − | 2.06112i | 0.940661 | − | 0.123840i | 0.355426 | − | 0.934704i | \(-0.384336\pi\) |
0.585235 | + | 0.810864i | \(0.301002\pi\) | |||||||
\(278\) | 2.22202 | − | 11.0422i | 0.133268 | − | 0.662265i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 9.11740 | + | 6.18063i | 0.544869 | + | 0.369363i | ||||
\(281\) | −2.39031 | + | 8.92077i | −0.142594 | + | 0.532169i | 0.857257 | + | 0.514890i | \(0.172167\pi\) |
−0.999851 | + | 0.0172792i | \(0.994500\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −19.8732 | + | 15.2493i | −1.18134 | + | 0.906475i | −0.997077 | − | 0.0764022i | \(-0.975657\pi\) |
−0.184264 | + | 0.982877i | \(0.558990\pi\) | |||||||
\(284\) | 24.4913 | − | 18.6200i | 1.45329 | − | 1.10489i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −9.44381 | + | 8.24484i | −0.558424 | + | 0.487527i | ||||
\(287\) | 10.7354 | 0.633689 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 13.3643 | 0.786136 | ||||||||
\(290\) | 16.3347 | − | 14.2608i | 0.959204 | − | 0.837425i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −13.7920 | − | 18.1409i | −0.807115 | − | 1.06162i | ||||
\(293\) | −4.00589 | + | 3.07383i | −0.234027 | + | 0.179575i | −0.719117 | − | 0.694889i | \(-0.755453\pi\) |
0.485090 | + | 0.874464i | \(0.338787\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.34913 | + | 5.03503i | −0.0785495 | + | 0.293151i | ||||
\(296\) | 17.4357 | − | 3.34714i | 1.01343 | − | 0.194548i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −2.95322 | + | 14.6758i | −0.171075 | + | 0.850148i | ||||
\(299\) | 19.5192 | − | 2.56975i | 1.12882 | − | 0.148613i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 1.29429 | − | 9.83115i | 0.0746019 | − | 0.566658i | ||||
\(302\) | 10.3241 | + | 21.0534i | 0.594088 | + | 1.21149i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 15.5969 | − | 1.91207i | 0.894541 | − | 0.109665i | ||||
\(305\) | − | 8.09963i | − | 0.463783i | ||||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −5.22156 | + | 2.16284i | −0.298010 | + | 0.123440i | −0.526679 | − | 0.850065i | \(-0.676563\pi\) |
0.228668 | + | 0.973504i | \(0.426563\pi\) | |||||||
\(308\) | 5.68889 | + | 1.55154i | 0.324154 | + | 0.0884074i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −28.6784 | + | 32.5548i | −1.62882 | + | 1.84899i | ||||
\(311\) | −3.96542 | − | 14.7991i | −0.224858 | − | 0.839182i | −0.982461 | − | 0.186467i | \(-0.940296\pi\) |
0.757603 | − | 0.652716i | \(-0.226370\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 1.04694 | − | 3.90722i | 0.0591763 | − | 0.220849i | −0.930005 | − | 0.367547i | \(-0.880198\pi\) |
0.989181 | + | 0.146698i | \(0.0468645\pi\) | |||||||
\(314\) | −1.32572 | − | 1.99368i | −0.0748145 | − | 0.112510i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −4.22565 | − | 10.3316i | −0.237711 | − | 0.581200i | ||||
\(317\) | −18.5493 | + | 24.1739i | −1.04183 | + | 1.35774i | −0.110377 | + | 0.993890i | \(0.535206\pi\) |
−0.931456 | + | 0.363854i | \(0.881461\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 5.80411 | − | 10.0530i | 0.324968 | − | 0.562860i | ||||
\(320\) | 5.85522 | + | 23.0823i | 0.327317 | + | 1.29034i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −6.09021 | − | 6.97586i | −0.339394 | − | 0.388749i | ||||
\(323\) | −2.86648 | − | 6.92030i | −0.159495 | − | 0.385056i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −14.0298 | − | 5.81135i | −0.778236 | − | 0.322356i | ||||
\(326\) | −5.78689 | + | 11.6690i | −0.320506 | + | 0.646287i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 17.3468 | + | 15.4192i | 0.957819 | + | 0.851382i | ||||
\(329\) | 1.38100 | + | 5.15397i | 0.0761372 | + | 0.284148i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −26.2231 | + | 3.45234i | −1.44135 | + | 0.189758i | −0.810315 | − | 0.585995i | \(-0.800704\pi\) |
−0.631037 | + | 0.775753i | \(0.717370\pi\) | |||||||
\(332\) | −1.88479 | + | 1.86807i | −0.103442 | + | 0.102523i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −8.03395 | − | 5.39405i | −0.439598 | − | 0.295149i | ||||
\(335\) | −25.7032 | + | 14.8397i | −1.40431 | + | 0.810781i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 13.8814 | + | 8.01444i | 0.756169 | + | 0.436574i | 0.827918 | − | 0.560848i | \(-0.189525\pi\) |
−0.0717498 | + | 0.997423i | \(0.522858\pi\) | |||||||
\(338\) | 1.53981 | + | 3.14004i | 0.0837545 | + | 0.170796i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 9.85590 | − | 5.63188i | 0.534511 | − | 0.305432i | ||||
\(341\) | −8.88808 | + | 21.4577i | −0.481316 | + | 1.16200i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 11.3680 | − | 11.3680i | 0.613813 | − | 0.613813i | ||||
\(344\) | 16.2118 | − | 14.0267i | 0.874083 | − | 0.756271i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −0.0262720 | − | 0.415004i | −0.00141239 | − | 0.0223107i | ||||
\(347\) | −12.3429 | + | 9.47101i | −0.662599 | + | 0.508430i | −0.884441 | − | 0.466652i | \(-0.845460\pi\) |
0.221842 | + | 0.975083i | \(0.428793\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.53080 | − | 4.60143i | 0.188999 | − | 0.246309i | −0.689237 | − | 0.724536i | \(-0.742054\pi\) |
0.878236 | + | 0.478228i | \(0.158721\pi\) | |||||||
\(350\) | 1.37788 | + | 7.00866i | 0.0736506 | + | 0.374629i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | 6.96396 | + | 10.6780i | 0.371180 | + | 0.569139i | ||||
\(353\) | 8.94237 | + | 15.4886i | 0.475955 | + | 0.824377i | 0.999621 | − | 0.0275462i | \(-0.00876934\pi\) |
−0.523666 | + | 0.851924i | \(0.675436\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 45.3980 | + | 5.97676i | 2.40947 | + | 0.317213i | ||||
\(356\) | −6.40077 | + | 4.86631i | −0.339240 | + | 0.257914i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 16.5158 | + | 8.19049i | 0.872885 | + | 0.432881i | ||||
\(359\) | 15.1625 | + | 15.1625i | 0.800246 | + | 0.800246i | 0.983134 | − | 0.182888i | \(-0.0585445\pi\) |
−0.182888 | + | 0.983134i | \(0.558545\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −2.52270 | + | 2.52270i | −0.132774 | + | 0.132774i | ||||
\(362\) | 8.56292 | − | 2.88545i | 0.450057 | − | 0.151656i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 5.18592 | − | 8.89052i | 0.271816 | − | 0.465990i | ||||
\(365\) | 4.42703 | − | 33.6267i | 0.231722 | − | 1.76010i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −2.59698 | + | 1.49937i | −0.135561 | + | 0.0782663i | −0.566247 | − | 0.824236i | \(-0.691605\pi\) |
0.430686 | + | 0.902502i | \(0.358272\pi\) | |||||||
\(368\) | 0.178477 | − | 20.0193i | 0.00930377 | − | 1.04358i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 21.9379 | + | 14.7293i | 1.14050 | + | 0.765740i | ||||
\(371\) | 11.8925 | + | 9.12544i | 0.617428 | + | 0.473769i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 1.24427 | + | 1.62157i | 0.0644261 | + | 0.0839617i | 0.824455 | − | 0.565928i | \(-0.191482\pi\) |
−0.760029 | + | 0.649889i | \(0.774815\pi\) | |||||||
\(374\) | 4.01695 | − | 4.55991i | 0.207711 | − | 0.235787i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −5.17113 | + | 10.3116i | −0.266680 | + | 0.531781i | ||||
\(377\) | −14.3273 | − | 14.3273i | −0.737892 | − | 0.737892i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 1.52367 | + | 0.631126i | 0.0782658 | + | 0.0324188i | 0.421473 | − | 0.906841i | \(-0.361513\pi\) |
−0.343207 | + | 0.939260i | \(0.611513\pi\) | |||||||
\(380\) | 18.4906 | + | 14.3197i | 0.948549 | + | 0.734588i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 3.63864 | − | 10.6411i | 0.186169 | − | 0.544446i | ||||
\(383\) | −2.54407 | + | 4.40645i | −0.129996 | + | 0.225159i | −0.923675 | − | 0.383178i | \(-0.874830\pi\) |
0.793679 | + | 0.608337i | \(0.208163\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 4.38811 | + | 7.60043i | 0.223639 | + | 0.387354i | ||||
\(386\) | 35.9332 | − | 7.06433i | 1.82895 | − | 0.359565i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | −15.9563 | + | 6.52616i | −0.810061 | + | 0.331316i | ||||
\(389\) | −4.86497 | − | 36.9531i | −0.246664 | − | 1.87360i | −0.447940 | − | 0.894064i | \(-0.647842\pi\) |
0.201276 | − | 0.979535i | \(-0.435491\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.21815 | + | 2.47000i | −0.466182 | + | 0.124913i | ||||
\(392\) | 14.9320 | − | 0.878469i | 0.754179 | − | 0.0443694i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 2.91253 | + | 8.64326i | 0.146731 | + | 0.435441i | ||||
\(395\) | 6.35766 | − | 15.3488i | 0.319889 | − | 0.772280i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 18.8052 | − | 7.78939i | 0.943808 | − | 0.390938i | 0.142908 | − | 0.989736i | \(-0.454355\pi\) |
0.800900 | + | 0.598798i | \(0.204355\pi\) | |||||||
\(398\) | −0.674718 | + | 9.95423i | −0.0338206 | + | 0.498960i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −7.84005 | + | 13.3040i | −0.392003 | + | 0.665202i | ||||
\(401\) | 14.8951 | + | 8.59968i | 0.743825 | + | 0.429447i | 0.823458 | − | 0.567377i | \(-0.192042\pi\) |
−0.0796336 | + | 0.996824i | \(0.525375\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 32.1623 | + | 24.6790i | 1.60212 | + | 1.22935i | ||||
\(404\) | −15.8519 | − | 0.0706602i | −0.788660 | − | 0.00351548i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.88011 | + | 9.34309i | −0.0933084 | + | 0.463690i | ||||
\(407\) | 13.6637 | + | 3.66119i | 0.677286 | + | 0.181478i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −28.0188 | + | 7.50762i | −1.38544 | + | 0.371228i | −0.873095 | − | 0.487551i | \(-0.837890\pi\) |
−0.512347 | + | 0.858779i | \(0.671224\pi\) | |||||||
\(410\) | 2.18239 | + | 34.4740i | 0.107781 | + | 1.70255i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −2.55326 | − | 20.0854i | −0.125790 | − | 0.989535i | ||||
\(413\) | −0.876739 | − | 2.11664i | −0.0431415 | − | 0.104153i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −3.94959 | −0.193878 | ||||||||
\(416\) | 21.1491 | − | 6.91730i | 1.03692 | − | 0.339149i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 11.8466 | + | 4.05084i | 0.579435 | + | 0.198133i | ||||
\(419\) | −11.7155 | − | 1.54237i | −0.572339 | − | 0.0753498i | −0.161199 | − | 0.986922i | \(-0.551536\pi\) |
−0.411140 | + | 0.911572i | \(0.634869\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 0.902867 | + | 6.85795i | 0.0440030 | + | 0.334236i | 0.999260 | + | 0.0384596i | \(0.0122451\pi\) |
−0.955257 | + | 0.295777i | \(0.904422\pi\) | |||||||
\(422\) | −23.4262 | + | 15.5774i | −1.14037 | + | 0.758298i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 6.10977 | + | 31.8266i | 0.296717 | + | 1.54564i | ||||
\(425\) | 7.11030 | + | 1.90520i | 0.344900 | + | 0.0924157i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 2.16713 | + | 2.82426i | 0.104875 | + | 0.136675i | ||||
\(428\) | 3.65887 | + | 2.13425i | 0.176858 | + | 0.103163i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 31.8334 | + | 2.15773i | 1.53514 | + | 0.104055i | ||||
\(431\) | − | 7.84780i | − | 0.378015i | −0.981976 | − | 0.189008i | \(-0.939473\pi\) | ||
0.981976 | − | 0.189008i | \(-0.0605271\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | − | 3.65459i | − | 0.175628i | −0.996137 | − | 0.0878141i | \(-0.972012\pi\) | ||
0.996137 | − | 0.0878141i | \(-0.0279882\pi\) | |||||||
\(434\) | 1.28953 | − | 19.0247i | 0.0618996 | − | 0.913214i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 8.13437 | + | 30.9083i | 0.389566 | + | 1.48024i | ||||
\(437\) | −11.9693 | − | 15.5988i | −0.572571 | − | 0.746190i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 28.1839 | + | 7.55186i | 1.34515 | + | 0.360431i | 0.858341 | − | 0.513080i | \(-0.171496\pi\) |
0.486805 | + | 0.873511i | \(0.338162\pi\) | |||||||
\(440\) | −3.82590 | + | 18.5838i | −0.182393 | + | 0.885950i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −5.87329 | − | 8.83255i | −0.279364 | − | 0.420122i | ||||
\(443\) | −4.14921 | − | 31.5164i | −0.197135 | − | 1.49739i | −0.748505 | − | 0.663129i | \(-0.769228\pi\) |
0.551370 | − | 0.834261i | \(-0.314105\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −11.8647 | − | 1.56202i | −0.562440 | − | 0.0740466i | ||||
\(446\) | −3.88875 | + | 11.3726i | −0.184138 | + | 0.538506i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −8.21753 | − | 6.48195i | −0.388242 | − | 0.306243i | ||||
\(449\) | −35.0894 | −1.65597 | −0.827986 | − | 0.560749i | \(-0.810513\pi\) | ||||
−0.827986 | + | 0.560749i | \(0.810513\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 7.07664 | + | 17.0845i | 0.333226 | + | 0.804479i | ||||
\(452\) | −5.28910 | + | 6.82964i | −0.248778 | + | 0.321239i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 15.5728 | − | 0.985842i | 0.730866 | − | 0.0462678i | ||||
\(455\) | 14.7967 | − | 3.96476i | 0.693679 | − | 0.185871i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 24.1884 | + | 6.48127i | 1.13149 | + | 0.303181i | 0.775523 | − | 0.631319i | \(-0.217486\pi\) |
0.355964 | + | 0.934500i | \(0.384153\pi\) | |||||||
\(458\) | −8.68655 | − | 1.74800i | −0.405896 | − | 0.0816786i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 21.1631 | − | 20.9753i | 0.986736 | − | 0.977978i | ||||
\(461\) | 12.9871 | + | 9.96538i | 0.604871 | + | 0.464134i | 0.865228 | − | 0.501378i | \(-0.167174\pi\) |
−0.260357 | + | 0.965512i | \(0.583840\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −11.0701 | − | 6.39130i | −0.514469 | − | 0.297029i | 0.220200 | − | 0.975455i | \(-0.429329\pi\) |
−0.734669 | + | 0.678426i | \(0.762662\pi\) | |||||||
\(464\) | −16.4574 | + | 12.3967i | −0.764017 | + | 0.575503i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −39.2998 | − | 2.66382i | −1.82053 | − | 0.123399i | ||||
\(467\) | 23.4018 | − | 9.69335i | 1.08291 | − | 0.448555i | 0.231379 | − | 0.972864i | \(-0.425676\pi\) |
0.851528 | + | 0.524309i | \(0.175676\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 4.99193 | − | 12.0516i | 0.230506 | − | 0.556490i | ||||
\(470\) | −16.2699 | + | 5.48249i | −0.750477 | + | 0.252889i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 1.62343 | − | 4.67944i | 0.0747244 | − | 0.215389i | ||||
\(473\) | 16.4987 | − | 4.42081i | 0.758611 | − | 0.203269i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 1.97954 | + | 15.0361i | 0.0908277 | + | 0.689905i | ||||
\(476\) | −1.92979 | + | 4.60082i | −0.0884518 | + | 0.210878i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 0.383261 | + | 1.94948i | 0.0175299 | + | 0.0891672i | ||||
\(479\) | 7.24608 | + | 12.5506i | 0.331082 | + | 0.573450i | 0.982724 | − | 0.185076i | \(-0.0592531\pi\) |
−0.651643 | + | 0.758526i | \(0.725920\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 12.3455 | − | 21.3830i | 0.562906 | − | 0.974982i | ||||
\(482\) | −39.3037 | − | 13.4396i | −1.79023 | − | 0.612155i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −1.49343 | − | 11.7482i | −0.0678834 | − | 0.534009i | ||||
\(485\) | −23.7049 | − | 9.81887i | −1.07638 | − | 0.445852i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.1166 | − | 10.1166i | −0.458428 | − | 0.458428i | 0.439711 | − | 0.898139i | \(-0.355081\pi\) |
−0.898139 | + | 0.439711i | \(0.855081\pi\) | |||||||
\(488\) | −0.554696 | + | 7.67624i | −0.0251099 | + | 0.347487i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 16.7049 | + | 14.7158i | 0.754649 | + | 0.664791i | ||||
\(491\) | 2.50040 | + | 3.25859i | 0.112842 | + | 0.147058i | 0.846359 | − | 0.532612i | \(-0.178790\pi\) |
−0.733518 | + | 0.679670i | \(0.762123\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | 7.79205 | + | 5.97905i | 0.350936 | + | 0.269283i | ||||
\(494\) | 12.1815 | − | 18.1433i | 0.548073 | − | 0.816305i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 29.4088 | − | 28.8890i | 1.32049 | − | 1.29716i | ||||
\(497\) | −17.4289 | + | 10.0626i | −0.781795 | + | 0.451370i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 1.99836 | − | 15.1790i | 0.0894588 | − | 0.679507i | −0.886684 | − | 0.462376i | \(-0.846997\pi\) |
0.976143 | − | 0.217131i | \(-0.0696697\pi\) | |||||||
\(500\) | 6.56005 | − | 1.72646i | 0.293374 | − | 0.0772095i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | 8.31352 | + | 24.6714i | 0.371051 | + | 1.10114i | ||||
\(503\) | −26.7836 | + | 26.7836i | −1.19422 | + | 1.19422i | −0.218354 | + | 0.975870i | \(0.570069\pi\) |
−0.975870 | + | 0.218354i | \(0.929931\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −16.6829 | − | 16.6829i | −0.742378 | − | 0.742378i | ||||
\(506\) | 7.08694 | − | 14.2905i | 0.315053 | − | 0.635290i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −1.95629 | + | 14.3644i | −0.0867961 | + | 0.637317i | ||||
\(509\) | 21.5968 | + | 2.84327i | 0.957262 | + | 0.126026i | 0.592939 | − | 0.805247i | \(-0.297967\pi\) |
0.364322 | + | 0.931273i | \(0.381301\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 7.45346 | + | 12.9098i | 0.329722 | + | 0.571095i | ||||
\(512\) | −3.96838 | − | 22.2767i | −0.175379 | − | 0.984501i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −41.7201 | + | 8.20202i | −1.84019 | + | 0.361776i | ||||
\(515\) | 18.3446 | − | 23.9072i | 0.808361 | − | 1.05348i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −7.29181 | + | 5.59520i | −0.320693 | + | 0.246077i | ||||
\(518\) | −11.5905 | + | 0.733741i | −0.509257 | + | 0.0322387i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 29.6039 | + | 14.8459i | 1.29822 | + | 0.651037i | ||||
\(521\) | 21.4239 | − | 21.4239i | 0.938598 | − | 0.938598i | −0.0596231 | − | 0.998221i | \(-0.518990\pi\) |
0.998221 | + | 0.0596231i | \(0.0189899\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 4.94049 | − | 11.9274i | 0.216032 | − | 0.521549i | −0.778296 | − | 0.627897i | \(-0.783916\pi\) |
0.994329 | + | 0.106348i | \(0.0339159\pi\) | |||||||
\(524\) | −8.76587 | + | 32.1409i | −0.382939 | + | 1.40408i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 22.7313 | − | 11.1469i | 0.991132 | − | 0.486029i | ||||
\(527\) | −17.0184 | − | 9.82557i | −0.741332 | − | 0.428008i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −1.77566 | + | 1.02518i | −0.0772027 | + | 0.0445730i | ||||
\(530\) | −26.8864 | + | 40.0449i | −1.16787 | + | 1.73944i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −10.2789 | − | 0.0458184i | −0.445645 | − | 0.00198648i | ||||
\(533\) | 32.0014 | − | 4.21306i | 1.38613 | − | 0.182488i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 1.63169 | + | 6.08953i | 0.0705439 | + | 0.263273i | ||||
\(536\) | 25.3759 | − | 12.3038i | 1.09607 | − | 0.531441i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 5.84477 | + | 2.89854i | 0.251986 | + | 0.124965i | ||||
\(539\) | 11.0106 | + | 4.56075i | 0.474261 | + | 0.196445i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 3.73279 | + | 9.01175i | 0.160485 | + | 0.387445i | 0.983584 | − | 0.180453i | \(-0.0577565\pi\) |
−0.823098 | + | 0.567899i | \(0.807756\pi\) | |||||||
\(542\) | −26.5682 | + | 23.1951i | −1.14120 | + | 0.996316i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | −9.72640 | + | 4.66251i | −0.417016 | + | 0.199904i | ||||
\(545\) | −23.7842 | + | 41.1954i | −1.01880 | + | 1.76462i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 11.9594 | − | 15.5858i | 0.511346 | − | 0.666400i | −0.464318 | − | 0.885668i | \(-0.653701\pi\) |
0.975664 | + | 0.219269i | \(0.0703672\pi\) | |||||||
\(548\) | −10.6700 | + | 25.4383i | −0.455799 | + | 1.08667i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −10.2455 | + | 6.81281i | −0.436868 | + | 0.290499i | ||||
\(551\) | −5.23726 | + | 19.5457i | −0.223115 | + | 0.832676i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 1.88985 | + | 7.05300i | 0.0803645 | + | 0.299924i | ||||
\(554\) | −16.7569 | − | 14.7616i | −0.711933 | − | 0.627161i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −13.8303 | + | 7.90294i | −0.586535 | + | 0.335159i | ||||
\(557\) | 21.6370 | − | 8.96234i | 0.916789 | − | 0.379747i | 0.126138 | − | 0.992013i | \(-0.459742\pi\) |
0.790652 | + | 0.612266i | \(0.209742\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | − | 29.8139i | − | 1.26099i | ||||||
\(560\) | −1.89549 | − | 15.4616i | −0.0800991 | − | 0.653372i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 11.7268 | − | 5.75057i | 0.494666 | − | 0.242573i | ||||
\(563\) | 0.818810 | − | 6.21948i | 0.0345087 | − | 0.262120i | −0.965490 | − | 0.260441i | \(-0.916132\pi\) |
0.999999 | − | 0.00167918i | \(-0.000534499\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | −12.7465 | + | 1.67811i | −0.536251 | + | 0.0705988i | ||||
\(566\) | 34.7294 | + | 6.98860i | 1.45978 | + | 0.293753i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −42.6156 | − | 8.77338i | −1.78811 | − | 0.368123i | ||||
\(569\) | 6.47069 | − | 24.1489i | 0.271266 | − | 1.01238i | −0.687037 | − | 0.726622i | \(-0.741089\pi\) |
0.958303 | − | 0.285755i | \(-0.0922442\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 14.7674 | − | 11.3314i | 0.617997 | − | 0.474206i | −0.251691 | − | 0.967808i | \(-0.580987\pi\) |
0.869688 | + | 0.493602i | \(0.164320\pi\) | |||||||
\(572\) | 17.5671 | + | 2.39246i | 0.734516 | + | 0.100034i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −9.98480 | − | 11.4368i | −0.416758 | − | 0.477363i | ||||
\(575\) | 19.3223 | 0.805794 | ||||||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −27.1476 | −1.13017 | −0.565084 | − | 0.825033i | \(-0.691156\pi\) | ||||
−0.565084 | + | 0.825033i | \(0.691156\pi\) | |||||||
\(578\) | −12.4299 | − | 14.2375i | −0.517017 | − | 0.592202i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −30.3852 | − | 4.13816i | −1.26168 | − | 0.171828i | ||||
\(581\) | 1.37718 | − | 1.05675i | 0.0571352 | − | 0.0438414i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −6.68303 | + | 24.9414i | −0.276783 | + | 1.03297i | ||||
\(584\) | −6.49851 | + | 31.5657i | −0.268910 | + | 1.30620i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 7.00048 | + | 1.40871i | 0.289187 | + | 0.0581933i | ||||
\(587\) | −0.628096 | + | 0.0826904i | −0.0259243 | + | 0.00341300i | −0.143477 | − | 0.989654i | \(-0.545828\pi\) |
0.117553 | + | 0.993067i | \(0.462495\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 5.28456 | − | 40.1402i | 0.217746 | − | 1.65395i | ||||
\(590\) | 6.61881 | − | 3.24572i | 0.272492 | − | 0.133624i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −19.7825 | − | 15.4618i | −0.813054 | − | 0.635474i | ||||
\(593\) | 33.5624i | 1.37824i | 0.724645 | + | 0.689122i | \(0.242004\pi\) | ||||
−0.724645 | + | 0.689122i | \(0.757996\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −6.86029 | + | 2.84163i | −0.281244 | + | 0.116495i | ||||
\(596\) | 18.3814 | − | 10.5036i | 0.752933 | − | 0.430243i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −20.8921 | − | 18.4045i | −0.854343 | − | 0.752614i | ||||
\(599\) | 0.784321 | + | 2.92713i | 0.0320465 | + | 0.119599i | 0.980096 | − | 0.198523i | \(-0.0636144\pi\) |
−0.948050 | + | 0.318122i | \(0.896948\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −6.55487 | + | 24.4631i | −0.267379 | + | 0.997871i | 0.693400 | + | 0.720553i | \(0.256112\pi\) |
−0.960778 | + | 0.277317i | \(0.910555\pi\) | |||||||
\(602\) | −11.6773 | + | 7.76493i | −0.475931 | + | 0.316475i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 12.8267 | − | 30.5802i | 0.521912 | − | 1.24429i | ||||
\(605\) | 10.7300 | − | 13.9836i | 0.436237 | − | 0.568515i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 14.9250 | − | 25.8508i | 0.605786 | − | 1.04925i | −0.386141 | − | 0.922440i | \(-0.626192\pi\) |
0.991927 | − | 0.126812i | \(-0.0404746\pi\) | |||||||
\(608\) | −16.5434 | − | 14.8375i | −0.670923 | − | 0.601741i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −8.62884 | + | 7.53333i | −0.349371 | + | 0.305016i | ||||
\(611\) | 6.13933 | + | 14.8217i | 0.248371 | + | 0.599620i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | −34.2219 | − | 14.1752i | −1.38221 | − | 0.572530i | −0.437139 | − | 0.899394i | \(-0.644008\pi\) |
−0.945071 | + | 0.326864i | \(0.894008\pi\) | |||||||
\(614\) | 7.16064 | + | 3.55110i | 0.288980 | + | 0.143311i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −3.63822 | − | 7.50365i | −0.146588 | − | 0.302331i | ||||
\(617\) | 3.40150 | + | 12.6946i | 0.136939 | + | 0.511064i | 0.999982 | + | 0.00593386i | \(0.00188882\pi\) |
−0.863043 | + | 0.505130i | \(0.831445\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −40.4459 | + | 5.32480i | −1.62566 | + | 0.214022i | −0.887567 | − | 0.460679i | \(-0.847606\pi\) |
−0.738091 | + | 0.674701i | \(0.764273\pi\) | |||||||
\(620\) | 61.3552 | + | 0.273493i | 2.46408 | + | 0.0109837i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −12.0779 | + | 17.9890i | −0.484280 | + | 0.721291i | ||||
\(623\) | 4.55503 | − | 2.62985i | 0.182493 | − | 0.105363i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 25.4602 | + | 14.6994i | 1.01841 | + | 0.587977i | ||||
\(626\) | −5.13625 | + | 2.51870i | −0.205286 | + | 0.100667i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −0.890914 | + | 3.26662i | −0.0355513 | + | 0.130352i | ||||
\(629\) | −4.58020 | + | 11.0576i | −0.182625 | + | 0.440895i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −14.7473 | + | 14.7473i | −0.587079 | + | 0.587079i | −0.936839 | − | 0.349760i | \(-0.886263\pi\) |
0.349760 | + | 0.936839i | \(0.386263\pi\) | |||||||
\(632\) | −7.07648 | + | 14.1110i | −0.281487 | + | 0.561307i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 43.0058 | − | 2.72250i | 1.70798 | − | 0.108124i | ||||
\(635\) | −17.1177 | + | 13.1349i | −0.679295 | + | 0.521241i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 12.6636 | − | 16.5035i | 0.501749 | − | 0.653892i | ||||
\(638\) | −16.1082 | + | 3.16681i | −0.637728 | + | 0.125375i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 19.1446 | − | 27.7063i | 0.756757 | − | 1.09519i | ||||
\(641\) | −24.2693 | − | 42.0357i | −0.958580 | − | 1.66031i | −0.725953 | − | 0.687744i | \(-0.758601\pi\) |
−0.232627 | − | 0.972566i | \(-0.574732\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 17.0898 | + | 2.24991i | 0.673954 | + | 0.0887278i | 0.459733 | − | 0.888057i | \(-0.347945\pi\) |
0.214222 | + | 0.976785i | \(0.431279\pi\) | |||||||
\(644\) | −1.76724 | + | 12.9763i | −0.0696389 | + | 0.511336i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −4.70638 | + | 9.49022i | −0.185170 | + | 0.373388i | ||||
\(647\) | −0.859997 | − | 0.859997i | −0.0338100 | − | 0.0338100i | 0.690000 | − | 0.723810i | \(-0.257611\pi\) |
−0.723810 | + | 0.690000i | \(0.757611\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 2.79052 | − | 2.79052i | 0.109538 | − | 0.109538i | ||||
\(650\) | 6.85788 | + | 20.3516i | 0.268988 | + | 0.798254i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 17.8137 | − | 4.68817i | 0.697640 | − | 0.183603i | ||||
\(653\) | −0.680657 | + | 5.17011i | −0.0266362 | + | 0.202322i | −0.999589 | − | 0.0286840i | \(-0.990868\pi\) |
0.972952 | + | 0.231006i | \(0.0742017\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −42.9407 | + | 24.7918i | −1.67783 | + | 0.968697i | ||||
\(656\) | 0.292610 | − | 32.8214i | 0.0114245 | − | 1.28146i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 4.20627 | − | 6.26486i | 0.163978 | − | 0.244230i | ||||
\(659\) | −19.0018 | − | 14.5806i | −0.740207 | − | 0.567981i | 0.168357 | − | 0.985726i | \(-0.446154\pi\) |
−0.908564 | + | 0.417745i | \(0.862820\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −13.1012 | − | 17.0738i | −0.509577 | − | 0.664094i | 0.465735 | − | 0.884924i | \(-0.345790\pi\) |
−0.975312 | + | 0.220830i | \(0.929123\pi\) | |||||||
\(662\) | 28.0676 | + | 24.7255i | 1.09088 | + | 0.960983i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 3.74314 | + | 0.270485i | 0.145262 | + | 0.0104968i | ||||
\(665\) | −10.8177 | − | 10.8177i | −0.419493 | − | 0.419493i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 23.8185 | + | 9.86594i | 0.922256 | + | 0.382011i | ||||
\(668\) | 1.72576 | + | 13.5758i | 0.0667716 | + | 0.525263i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 39.7154 | + | 13.5804i | 1.53434 | + | 0.524655i | ||||
\(671\) | −3.06604 | + | 5.31054i | −0.118363 | + | 0.205011i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | −8.46765 | − | 14.6664i | −0.326404 | − | 0.565348i | 0.655392 | − | 0.755289i | \(-0.272504\pi\) |
−0.981795 | + | 0.189941i | \(0.939170\pi\) | |||||||
\(674\) | −4.37279 | − | 22.2425i | −0.168434 | − | 0.856749i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 1.91306 | − | 4.56092i | 0.0735791 | − | 0.175420i | ||||
\(677\) | 4.59712 | + | 34.9186i | 0.176682 | + | 1.34203i | 0.818205 | + | 0.574927i | \(0.194969\pi\) |
−0.641523 | + | 0.767103i | \(0.721697\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 10.8928 | − | 2.91871i | 0.418026 | − | 0.112010i | ||||
\(680\) | −15.1667 | − | 5.26174i | −0.581615 | − | 0.201779i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 31.1264 | − | 10.4887i | 1.19189 | − | 0.401632i | ||||
\(683\) | −11.7098 | + | 28.2700i | −0.448064 | + | 1.08172i | 0.524982 | + | 0.851113i | \(0.324072\pi\) |
−0.973046 | + | 0.230610i | \(0.925928\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −37.9311 | + | 15.7116i | −1.44927 | + | 0.600308i | ||||
\(686\) | −22.6839 | − | 1.53756i | −0.866075 | − | 0.0587044i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −30.0216 | − | 4.22502i | −1.14456 | − | 0.161078i | ||||
\(689\) | 39.0320 | + | 22.5351i | 1.48700 | + | 0.858520i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −13.8511 | − | 10.6283i | −0.526919 | − | 0.404319i | 0.310755 | − | 0.950490i | \(-0.399418\pi\) |
−0.837674 | + | 0.546171i | \(0.816085\pi\) | |||||||
\(692\) | −0.417684 | + | 0.413977i | −0.0158780 | + | 0.0157370i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 21.5697 | + | 4.34048i | 0.818775 | + | 0.164762i | ||||
\(695\) | −22.8999 | − | 6.13601i | −0.868643 | − | 0.232752i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −15.1130 | + | 4.04952i | −0.572446 | + | 0.153386i | ||||
\(698\) | −8.18602 | + | 0.518220i | −0.309845 | + | 0.0196149i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 6.18505 | − | 7.98654i | 0.233773 | − | 0.301863i | ||||
\(701\) | 12.2330 | + | 29.5331i | 0.462035 | + | 1.11545i | 0.967561 | + | 0.252639i | \(0.0812984\pi\) |
−0.505526 | + | 0.862811i | \(0.668702\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −24.6586 | −0.930016 | ||||||||
\(704\) | 4.89861 | − | 17.3504i | 0.184623 | − | 0.653918i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 8.18348 | − | 23.9324i | 0.307989 | − | 0.900707i | ||||
\(707\) | 10.2808 | + | 1.35349i | 0.386649 | + | 0.0509033i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −1.13476 | − | 8.61936i | −0.0426168 | − | 0.323707i | −0.999453 | − | 0.0330782i | \(-0.989469\pi\) |
0.956836 | − | 0.290629i | \(-0.0938644\pi\) | |||||||
\(710\) | −35.8567 | − | 53.9231i | −1.34568 | − | 2.02370i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | 11.1375 | + | 2.29291i | 0.417396 | + | 0.0859303i | ||||
\(713\) | −49.8248 | − | 13.3505i | −1.86595 | − | 0.499981i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 16.0634 | + | 20.9342i | 0.600738 | + | 0.782897i | ||||
\(716\) | −6.63541 | − | 25.2127i | −0.247977 | − | 0.942243i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 2.05079 | − | 30.2556i | 0.0765347 | − | 1.12913i | ||||
\(719\) | − | 25.2984i | − | 0.943471i | −0.881740 | − | 0.471736i | \(-0.843628\pi\) | ||
0.881740 | − | 0.471736i | \(-0.156372\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 13.2445i | 0.493249i | ||||||||
\(722\) | 5.03385 | + | 0.341205i | 0.187340 | + | 0.0126983i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −11.0382 | − | 6.43869i | −0.410232 | − | 0.239292i | ||||
\(725\) | −12.1057 | − | 15.7765i | −0.449595 | − | 0.585923i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 17.2575 | + | 4.62413i | 0.640044 | + | 0.171499i | 0.564223 | − | 0.825622i | \(-0.309176\pi\) |
0.0758207 | + | 0.997121i | \(0.475842\pi\) | |||||||
\(728\) | −14.2947 | + | 2.74417i | −0.529798 | + | 0.101706i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −39.9413 | + | 26.5593i | −1.47829 | + | 0.983005i | ||||
\(731\) | 1.88635 | + | 14.3283i | 0.0697693 | + | 0.529950i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −41.6879 | − | 5.48832i | −1.53978 | − | 0.202716i | −0.687648 | − | 0.726044i | \(-0.741357\pi\) |
−0.852131 | + | 0.523328i | \(0.824690\pi\) | |||||||
\(734\) | 4.01274 | + | 1.37212i | 0.148113 | + | 0.0506460i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −21.4934 | + | 18.4295i | −0.792255 | + | 0.679321i | ||||
\(737\) | 22.4698 | 0.827685 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 5.90691 | + | 14.2605i | 0.217289 | + | 0.524582i | 0.994510 | − | 0.104646i | \(-0.0333710\pi\) |
−0.777220 | + | 0.629229i | \(0.783371\pi\) | |||||||
\(740\) | −4.71245 | − | 37.0708i | −0.173233 | − | 1.36275i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −1.33935 | − | 21.1570i | −0.0491691 | − | 0.776696i | ||||
\(743\) | −25.6711 | + | 6.87855i | −0.941781 | + | 0.252349i | −0.696871 | − | 0.717197i | \(-0.745425\pi\) |
−0.244910 | + | 0.969546i | \(0.578758\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 30.4356 | + | 8.15519i | 1.11507 | + | 0.298783i | ||||
\(746\) | 0.570240 | − | 2.83377i | 0.0208780 | − | 0.103752i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −8.59394 | − | 0.0383078i | −0.314225 | − | 0.00140067i | ||||
\(749\) | −2.19826 | − | 1.68679i | −0.0803227 | − | 0.0616338i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 25.5144 | + | 14.7308i | 0.931034 | + | 0.537533i | 0.887138 | − | 0.461503i | \(-0.152690\pi\) |
0.0438957 | + | 0.999036i | \(0.486023\pi\) | |||||||
\(752\) | 15.7949 | − | 4.08167i | 0.575982 | − | 0.148843i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −1.93782 | + | 28.5889i | −0.0705712 | + | 1.04115i | ||||
\(755\) | 45.5982 | − | 18.8874i | 1.65949 | − | 0.687382i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −14.9103 | + | 35.9968i | −0.541926 | + | 1.30832i | 0.381437 | + | 0.924395i | \(0.375429\pi\) |
−0.923362 | + | 0.383929i | \(0.874571\pi\) | |||||||
\(758\) | −0.744781 | − | 2.21023i | −0.0270517 | − | 0.0802790i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −1.94245 | − | 33.0173i | −0.0704602 | − | 1.19766i | ||||
\(761\) | −22.9268 | + | 6.14321i | −0.831095 | + | 0.222691i | −0.649191 | − | 0.760625i | \(-0.724893\pi\) |
−0.181904 | + | 0.983316i | \(0.558226\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −2.72891 | − | 20.7281i | −0.0987930 | − | 0.750408i | ||||
\(764\) | −14.7206 | + | 6.02074i | −0.532573 | + | 0.217823i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 7.06055 | − | 1.38808i | 0.255108 | − | 0.0501534i | ||||
\(767\) | −3.44416 | − | 5.96547i | −0.124362 | − | 0.215401i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | −6.92890 | + | 12.0012i | −0.249862 | + | 0.432774i | −0.963487 | − | 0.267754i | \(-0.913719\pi\) |
0.713625 | + | 0.700528i | \(0.247052\pi\) | |||||||
\(770\) | 4.01571 | − | 11.7439i | 0.144716 | − | 0.423219i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −40.9467 | − | 31.7105i | −1.47371 | − | 1.14129i | ||||
\(773\) | −20.9246 | − | 8.66725i | −0.752605 | − | 0.311739i | −0.0268012 | − | 0.999641i | \(-0.508532\pi\) |
−0.725804 | + | 0.687901i | \(0.758532\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | 28.1340 | + | 28.1340i | 1.01060 | + | 1.01060i | ||||
\(776\) | 21.7933 | + | 10.9290i | 0.782334 | + | 0.392329i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | −34.8427 | + | 39.5523i | −1.24917 | + | 1.41802i | ||||
\(779\) | −19.6235 | − | 25.5739i | −0.703086 | − | 0.916280i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −27.5028 | − | 21.1037i | −0.984129 | − | 0.755148i | ||||
\(782\) | 11.2050 | + | 7.52314i | 0.400691 | + | 0.269027i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −14.8239 | − | 15.0906i | −0.529424 | − | 0.538948i | ||||
\(785\) | −4.36425 | + | 2.51970i | −0.155767 | + | 0.0899320i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | −1.83936 | + | 13.9713i | −0.0655662 | + | 0.498024i | 0.926881 | + | 0.375354i | \(0.122479\pi\) |
−0.992448 | + | 0.122670i | \(0.960854\pi\) | |||||||
\(788\) | 6.49910 | − | 11.1418i | 0.231521 | − | 0.396909i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −22.2648 | + | 7.50257i | −0.792145 | + | 0.266929i | ||||
\(791\) | 3.99560 | − | 3.99560i | 0.142067 | − | 0.142067i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 7.56843 | + | 7.56843i | 0.268763 | + | 0.268763i | ||||
\(794\) | −25.7888 | − | 12.7892i | −0.915210 | − | 0.453870i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.2322 | − | 8.53946i | 0.398113 | − | 0.302673i | ||||
\(797\) | −16.4630 | − | 2.16739i | −0.583149 | − | 0.0767730i | −0.166820 | − | 0.985987i | \(-0.553350\pi\) |
−0.416328 | + | 0.909214i | \(0.636683\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | −3.88829 | − | 6.73471i | −0.137558 | − | 0.238257i | ||||
\(800\) | 21.4652 | − | 4.02156i | 0.758909 | − | 0.142184i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −4.69211 | − | 23.8667i | −0.165684 | − | 0.842763i | ||||
\(803\) | −15.6317 | + | 20.3716i | −0.551629 | + | 0.718897i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | −15.4635 | + | 11.8656i | −0.545017 | + | 0.418206i | ||||
\(806\) | −3.62217 | − | 57.2173i | −0.127585 | − | 2.01539i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 14.6683 | + | 16.9533i | 0.516029 | + | 0.596416i | ||||
\(809\) | 9.57260 | − | 9.57260i | 0.336555 | − | 0.336555i | −0.518514 | − | 0.855069i | \(-0.673515\pi\) |
0.855069 | + | 0.518514i | \(0.173515\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 2.74499 | − | 6.62700i | 0.0963897 | − | 0.232705i | −0.868329 | − | 0.495989i | \(-0.834806\pi\) |
0.964718 | + | 0.263284i | \(0.0848056\pi\) | |||||||
\(812\) | 11.7022 | − | 6.68690i | 0.410667 | − | 0.234664i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −8.80802 | − | 17.9617i | −0.308721 | − | 0.629557i | ||||
\(815\) | 23.7426 | + | 13.7078i | 0.831668 | + | 0.480164i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −25.7857 | + | 14.8874i | −0.902128 | + | 0.520844i | ||||
\(818\) | 34.0580 | + | 22.8668i | 1.19081 | + | 0.799518i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 34.6966 | − | 34.3887i | 1.21166 | − | 1.20090i | ||||
\(821\) | 22.5064 | − | 2.96302i | 0.785478 | − | 0.103410i | 0.272890 | − | 0.962045i | \(-0.412020\pi\) |
0.512587 | + | 0.858635i | \(0.328687\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 7.39009 | + | 27.5802i | 0.257602 | + | 0.961386i | 0.966624 | + | 0.256199i | \(0.0824702\pi\) |
−0.709022 | + | 0.705187i | \(0.750863\pi\) | |||||||
\(824\) | −19.0230 | + | 21.4012i | −0.662696 | + | 0.745545i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −1.43949 | + | 2.90267i | −0.0500863 | + | 0.100997i | ||||
\(827\) | 6.15565 | + | 2.54975i | 0.214053 | + | 0.0886636i | 0.487133 | − | 0.873328i | \(-0.338043\pi\) |
−0.273081 | + | 0.961991i | \(0.588043\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 8.24368 | + | 19.9020i | 0.286315 | + | 0.691225i | 0.999957 | − | 0.00928553i | \(-0.00295572\pi\) |
−0.713642 | + | 0.700510i | \(0.752956\pi\) | |||||||
\(830\) | 3.67345 | + | 4.20765i | 0.127507 | + | 0.146050i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −27.0397 | − | 16.0973i | −0.937433 | − | 0.558073i | ||||
\(833\) | −5.04180 | + | 8.73266i | −0.174688 | + | 0.302569i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −12.3992 | + | 16.1590i | −0.429092 | + | 0.559204i | ||||
\(836\) | −6.70280 | − | 16.3882i | −0.231821 | − | 0.566799i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 9.25323 | + | 13.9155i | 0.319648 | + | 0.480702i | ||||
\(839\) | −2.11838 | + | 7.90589i | −0.0731345 | + | 0.272942i | −0.992804 | − | 0.119752i | \(-0.961790\pi\) |
0.919669 | + | 0.392694i | \(0.128457\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 0.638548 | + | 2.38309i | 0.0220189 | + | 0.0821757i | ||||
\(842\) | 6.46629 | − | 7.34033i | 0.222843 | − | 0.252964i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | 38.3835 | + | 10.4684i | 1.32122 | + | 0.360338i | ||||
\(845\) | 6.80080 | − | 2.81698i | 0.233955 | − | 0.0969072i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 7.74685i | 0.266185i | ||||||||
\(848\) | 28.2234 | − | 36.1103i | 0.969197 | − | 1.24003i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −4.58349 | − | 9.34687i | −0.157213 | − | 0.320595i | ||||
\(851\) | −4.10069 | + | 31.1478i | −0.140570 | + | 1.06773i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 25.4147 | − | 3.34591i | 0.870184 | − | 0.114562i | 0.317806 | − | 0.948156i | \(-0.397054\pi\) |
0.552378 | + | 0.833594i | \(0.313721\pi\) | |||||||
\(854\) | 0.993176 | − | 4.93552i | 0.0339858 | − | 0.168890i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −1.12936 | − | 5.88296i | −0.0386006 | − | 0.201075i | ||||
\(857\) | 7.02833 | − | 26.2301i | 0.240083 | − | 0.896002i | −0.735708 | − | 0.677298i | \(-0.763151\pi\) |
0.975791 | − | 0.218704i | \(-0.0701828\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −9.26688 | + | 7.11073i | −0.316182 | + | 0.242615i | −0.754644 | − | 0.656135i | \(-0.772190\pi\) |
0.438462 | + | 0.898750i | \(0.355524\pi\) | |||||||
\(860\) | −27.3090 | − | 35.9202i | −0.931229 | − | 1.22487i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | −8.36055 | + | 7.29911i | −0.284762 | + | 0.248609i | ||||
\(863\) | −19.5080 | −0.664060 | −0.332030 | − | 0.943269i | \(-0.607734\pi\) | ||||
−0.332030 | + | 0.943269i | \(0.607734\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −0.875259 | −0.0297597 | ||||||||
\(866\) | −3.89337 | + | 3.39907i | −0.132302 | + | 0.115505i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −21.4671 | + | 16.3208i | −0.728641 | + | 0.553963i | ||||
\(869\) | −9.97854 | + | 7.65681i | −0.338499 | + | 0.259739i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 10.1510 | − | 37.8840i | 0.343953 | − | 1.28365i | ||||
\(872\) | 25.3622 | − | 37.4132i | 0.858871 | − | 1.26697i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −5.48545 | + | 27.2595i | −0.185548 | + | 0.922068i | ||||
\(875\) | −4.39938 | + | 0.579189i | −0.148726 | + | 0.0195802i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | 1.73803 | − | 13.2016i | 0.0586891 | − | 0.445788i | −0.936720 | − | 0.350079i | \(-0.886155\pi\) |
0.995409 | − | 0.0957091i | \(-0.0305118\pi\) | |||||||
\(878\) | −18.1681 | − | 37.0493i | −0.613145 | − | 1.25035i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 23.3565 | − | 13.2087i | 0.787347 | − | 0.445264i | ||||
\(881\) | 5.68957i | 0.191687i | 0.995396 | + | 0.0958433i | \(0.0305548\pi\) | ||||
−0.995396 | + | 0.0958433i | \(0.969445\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | 43.3255 | − | 17.9460i | 1.45802 | − | 0.603931i | 0.493927 | − | 0.869503i | \(-0.335561\pi\) |
0.964091 | + | 0.265573i | \(0.0855610\pi\) | |||||||
\(884\) | −3.94700 | + | 14.4720i | −0.132752 | + | 0.486748i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −29.7165 | + | 33.7332i | −0.998345 | + | 1.13329i | ||||
\(887\) | 3.30130 | + | 12.3206i | 0.110847 | + | 0.413686i | 0.998943 | − | 0.0459720i | \(-0.0146385\pi\) |
−0.888096 | + | 0.459658i | \(0.847972\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | 2.45441 | − | 9.15999i | 0.0823183 | − | 0.307216i | ||||
\(890\) | 9.37108 | + | 14.0927i | 0.314119 | + | 0.472388i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 15.7325 | − | 6.43460i | 0.526763 | − | 0.215446i | ||||
\(893\) | 9.75345 | − | 12.7109i | 0.326387 | − | 0.425356i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | 19.4014 | − | 33.6042i | 0.648516 | − | 1.12326i | ||||
\(896\) | 0.737533 | + | 14.7832i | 0.0246392 | + | 0.493872i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 32.6361 | + | 37.3821i | 1.08908 | + | 1.24746i | ||||
\(899\) | 20.3154 | + | 49.0458i | 0.677558 | + | 1.63577i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −20.1842 | − | 8.36057i | −0.672434 | − | 0.278531i | ||||
\(902\) | 11.6189 | − | 23.4290i | 0.386868 | − | 0.780102i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | 12.1952 | − | 0.717458i | 0.405605 | − | 0.0238623i | ||||
\(905\) | −4.92253 | − | 18.3711i | −0.163630 | − | 0.610677i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 7.59347 | − | 0.999700i | 0.252137 | − | 0.0331945i | −0.00339808 | − | 0.999994i | \(-0.501082\pi\) |
0.255535 | + | 0.966800i | \(0.417748\pi\) | |||||||
\(908\) | −15.5342 | − | 15.6733i | −0.515522 | − | 0.520138i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | −17.9860 | − | 12.0759i | −0.596229 | − | 0.400312i | ||||
\(911\) | 19.5408 | − | 11.2819i | 0.647415 | − | 0.373785i | −0.140050 | − | 0.990144i | \(-0.544726\pi\) |
0.787465 | + | 0.616359i | \(0.211393\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 2.58956 | + | 1.49508i | 0.0857019 | + | 0.0494800i | ||||
\(914\) | −15.5925 | − | 31.7970i | −0.515755 | − | 1.05175i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 6.21701 | + | 10.8799i | 0.205416 | + | 0.359482i | ||||
\(917\) | 8.33971 | − | 20.1338i | 0.275401 | − | 0.664878i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −15.9941 | + | 15.9941i | −0.527598 | + | 0.527598i | −0.919856 | − | 0.392257i | \(-0.871694\pi\) |
0.392257 | + | 0.919856i | \(0.371694\pi\) | |||||||
\(920\) | −42.0293 | − | 3.03710i | −1.38566 | − | 0.100130i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | −1.46263 | − | 23.1043i | −0.0481692 | − | 0.760900i | ||||
\(923\) | −48.0054 | + | 36.8359i | −1.58012 | + | 1.21247i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 14.7520 | − | 19.2252i | 0.485042 | − | 0.632119i | ||||
\(926\) | 3.48719 | + | 17.7378i | 0.114596 | + | 0.582900i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 28.5135 | + | 6.00275i | 0.936000 | + | 0.197050i | ||||
\(929\) | 4.55956 | + | 7.89740i | 0.149594 | + | 0.259105i | 0.931078 | − | 0.364821i | \(-0.118870\pi\) |
−0.781483 | + | 0.623926i | \(0.785537\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −20.5972 | − | 2.71167i | −0.675045 | − | 0.0888714i | ||||
\(932\) | 33.7142 | + | 44.3451i | 1.10435 | + | 1.45257i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | −32.0923 | − | 15.9152i | −1.05009 | − | 0.520761i | ||||
\(935\) | −9.04445 | − | 9.04445i | −0.295785 | − | 0.295785i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −18.2296 | + | 18.2296i | −0.595534 | + | 0.595534i | −0.939121 | − | 0.343587i | \(-0.888358\pi\) |
0.343587 | + | 0.939121i | \(0.388358\pi\) | |||||||
\(938\) | −17.4819 | + | 5.89089i | −0.570805 | + | 0.192344i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 20.9731 | + | 12.2338i | 0.684068 | + | 0.399023i | ||||
\(941\) | 2.31515 | − | 17.5853i | 0.0754719 | − | 0.573266i | −0.911371 | − | 0.411585i | \(-0.864975\pi\) |
0.986843 | − | 0.161681i | \(-0.0516914\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | −35.5674 | + | 20.5348i | −1.15823 | + | 0.668706i | ||||
\(944\) | −6.49511 | + | 2.62277i | −0.211398 | + | 0.0853639i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −20.0548 | − | 13.4650i | −0.652039 | − | 0.437783i | ||||
\(947\) | 14.4728 | + | 11.1054i | 0.470302 | + | 0.360876i | 0.816557 | − | 0.577265i | \(-0.195880\pi\) |
−0.346255 | + | 0.938141i | \(0.612547\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | 27.2846 | + | 35.5580i | 0.885696 | + | 1.15426i | ||||
\(950\) | 14.1774 | − | 16.0937i | 0.459976 | − | 0.522150i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | 6.69629 | − | 2.22326i | 0.217028 | − | 0.0720564i | ||||
\(953\) | 7.34701 | + | 7.34701i | 0.237993 | + | 0.237993i | 0.816019 | − | 0.578026i | \(-0.196177\pi\) |
−0.578026 | + | 0.816019i | \(0.696177\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −21.8690 | − | 9.05845i | −0.707665 | − | 0.293125i | ||||
\(956\) | 1.72039 | − | 2.22148i | 0.0556414 | − | 0.0718479i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 6.63114 | − | 19.3926i | 0.214242 | − | 0.626546i | ||||
\(959\) | 9.02241 | − | 15.6273i | 0.291349 | − | 0.504631i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −37.6079 | − | 65.1388i | −1.21316 | − | 2.10125i | ||||
\(962\) | −34.2625 | + | 6.73588i | −1.10467 | + | 0.217174i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 22.2380 | + | 54.3716i | 0.716239 | + | 1.75119i | ||||
\(965\) | −10.0611 | − | 76.4213i | −0.323877 | − | 2.46009i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −29.8276 | + | 7.99229i | −0.959192 | + | 0.257015i | −0.704258 | − | 0.709944i | \(-0.748720\pi\) |
−0.254934 | + | 0.966959i | \(0.582054\pi\) | |||||||
\(968\) | −11.1268 | + | 12.5178i | −0.357628 | + | 0.402338i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 11.5871 | + | 34.3861i | 0.372039 | + | 1.10407i | ||||
\(971\) | −1.22392 | + | 2.95481i | −0.0392776 | + | 0.0948245i | −0.942301 | − | 0.334767i | \(-0.891342\pi\) |
0.903023 | + | 0.429591i | \(0.141342\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | 9.62671 | − | 3.98751i | 0.308618 | − | 0.127834i | ||||
\(974\) | −1.36831 | + | 20.1869i | −0.0438436 | + | 0.646831i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 8.69370 | − | 6.54860i | 0.278278 | − | 0.209616i | ||||
\(977\) | −5.02272 | − | 2.89987i | −0.160691 | − | 0.0927749i | 0.417498 | − | 0.908678i | \(-0.362907\pi\) |
−0.578189 | + | 0.815903i | \(0.696240\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 7.18782 | + | 5.51541i | 0.229724 | + | 0.176273i | ||||
\(980\) | 0.140338 | − | 31.4832i | 0.00448292 | − | 1.00569i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.14591 | − | 5.69453i | 0.0365675 | − | 0.181720i | ||||
\(983\) | 23.2872 | + | 6.23978i | 0.742745 | + | 0.199018i | 0.610298 | − | 0.792172i | \(-0.291050\pi\) |
0.132447 | + | 0.991190i | \(0.457716\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 18.5435 | − | 4.96872i | 0.590845 | − | 0.158317i | ||||
\(986\) | −0.877551 | − | 13.8622i | −0.0279469 | − | 0.441462i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | −30.6586 | + | 3.89733i | −0.975379 | + | 0.123990i | ||||
\(989\) | 14.5171 | + | 35.0473i | 0.461616 | + | 1.11444i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 23.4723 | 0.745623 | 0.372812 | − | 0.927907i | \(-0.378394\pi\) | ||||
0.372812 | + | 0.927907i | \(0.378394\pi\) | |||||||
\(992\) | −58.1292 | − | 4.46105i | −1.84560 | − | 0.141639i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 26.9305 | + | 9.20865i | 0.854182 | + | 0.292081i | ||||
\(995\) | 20.8203 | + | 2.74105i | 0.660048 | + | 0.0868970i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 4.25966 | + | 32.3554i | 0.134905 | + | 1.02470i | 0.916251 | + | 0.400606i | \(0.131200\pi\) |
−0.781346 | + | 0.624099i | \(0.785466\pi\) | |||||||
\(998\) | −18.0294 | + | 11.9888i | −0.570712 | + | 0.379500i | ||||
\(999\) | 0 | 0 |
(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 | 864.2.bk.a.37.11 | 368 | ||
3.2 | odd | 2 | 288.2.bc.a.229.36 | yes | 368 | ||
9.2 | odd | 6 | 288.2.bc.a.133.28 | yes | 368 | ||
9.7 | even | 3 | inner | 864.2.bk.a.613.19 | 368 | ||
32.13 | even | 8 | inner | 864.2.bk.a.685.19 | 368 | ||
96.77 | odd | 8 | 288.2.bc.a.13.28 | ✓ | 368 | ||
288.173 | odd | 24 | 288.2.bc.a.205.36 | yes | 368 | ||
288.205 | even | 24 | inner | 864.2.bk.a.397.11 | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
288.2.bc.a.13.28 | ✓ | 368 | 96.77 | odd | 8 | ||
288.2.bc.a.133.28 | yes | 368 | 9.2 | odd | 6 | ||
288.2.bc.a.205.36 | yes | 368 | 288.173 | odd | 24 | ||
288.2.bc.a.229.36 | yes | 368 | 3.2 | odd | 2 | ||
864.2.bk.a.37.11 | 368 | 1.1 | even | 1 | trivial | ||
864.2.bk.a.397.11 | 368 | 288.205 | even | 24 | inner | ||
864.2.bk.a.613.19 | 368 | 9.7 | even | 3 | inner | ||
864.2.bk.a.685.19 | 368 | 32.13 | even | 8 | inner |