Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(43,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.u (of order \(9\), degree \(6\), 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: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(30\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 43.5 | ||
Character | \(\chi\) | \(=\) | 378.43 |
Dual form | 378.2.u.d.211.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | 1.73061 | − | 0.0705192i | 0.999171 | − | 0.0407143i | ||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | −0.918005 | − | 0.334126i | −0.410544 | − | 0.149426i | 0.128488 | − | 0.991711i | \(-0.458988\pi\) |
−0.539032 | + | 0.842285i | \(0.681210\pi\) | |||||||
\(6\) | 1.37106 | + | 1.05840i | 0.559732 | + | 0.432089i | ||||
\(7\) | −0.173648 | + | 0.984808i | −0.0656328 | + | 0.372222i | ||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | 2.99005 | − | 0.244083i | 0.996685 | − | 0.0813611i | ||||
\(10\) | −0.488460 | − | 0.846038i | −0.154465 | − | 0.267541i | ||||
\(11\) | 3.68881 | − | 1.34262i | 1.11222 | − | 0.404814i | 0.280411 | − | 0.959880i | \(-0.409529\pi\) |
0.831806 | + | 0.555066i | \(0.187307\pi\) | |||||||
\(12\) | 0.369966 | + | 1.69208i | 0.106800 | + | 0.488461i | ||||
\(13\) | 0.336485 | − | 0.282345i | 0.0933242 | − | 0.0783083i | −0.594932 | − | 0.803776i | \(-0.702821\pi\) |
0.688256 | + | 0.725468i | \(0.258377\pi\) | |||||||
\(14\) | −0.766044 | + | 0.642788i | −0.204734 | + | 0.171792i | ||||
\(15\) | −1.61227 | − | 0.513507i | −0.416288 | − | 0.132587i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | 1.75629 | + | 3.04198i | 0.425963 | + | 0.737789i | 0.996510 | − | 0.0834760i | \(-0.0266022\pi\) |
−0.570547 | + | 0.821265i | \(0.693269\pi\) | |||||||
\(18\) | 2.44741 | + | 1.73499i | 0.576860 | + | 0.408941i | ||||
\(19\) | −3.72506 | + | 6.45199i | −0.854587 | + | 1.48019i | 0.0224409 | + | 0.999748i | \(0.492856\pi\) |
−0.877028 | + | 0.480440i | \(0.840477\pi\) | |||||||
\(20\) | 0.169640 | − | 0.962079i | 0.0379328 | − | 0.215127i | ||||
\(21\) | −0.231070 | + | 1.71657i | −0.0504236 | + | 0.374586i | ||||
\(22\) | 3.68881 | + | 1.34262i | 0.786457 | + | 0.286247i | ||||
\(23\) | −0.806925 | − | 4.57630i | −0.168256 | − | 0.954225i | −0.945644 | − | 0.325204i | \(-0.894567\pi\) |
0.777388 | − | 0.629021i | \(-0.216544\pi\) | |||||||
\(24\) | −0.804236 | + | 1.53402i | −0.164164 | + | 0.313130i | ||||
\(25\) | −3.09913 | − | 2.60048i | −0.619826 | − | 0.520096i | ||||
\(26\) | 0.439250 | 0.0861441 | ||||||||
\(27\) | 5.15742 | − | 0.633270i | 0.992546 | − | 0.121873i | ||||
\(28\) | −1.00000 | −0.188982 | ||||||||
\(29\) | −3.40300 | − | 2.85546i | −0.631922 | − | 0.530246i | 0.269604 | − | 0.962971i | \(-0.413107\pi\) |
−0.901526 | + | 0.432726i | \(0.857552\pi\) | |||||||
\(30\) | −0.904998 | − | 1.42972i | −0.165229 | − | 0.261030i | ||||
\(31\) | −0.888920 | − | 5.04131i | −0.159655 | − | 0.905447i | −0.954406 | − | 0.298512i | \(-0.903510\pi\) |
0.794751 | − | 0.606935i | \(-0.207601\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 6.28923 | − | 2.58368i | 1.09481 | − | 0.449762i | ||||
\(34\) | −0.609953 | + | 3.45921i | −0.104606 | + | 0.593250i | ||||
\(35\) | 0.488460 | − | 0.846038i | 0.0825648 | − | 0.143006i | ||||
\(36\) | 0.759593 | + | 2.90224i | 0.126599 | + | 0.483707i | ||||
\(37\) | −4.10925 | − | 7.11742i | −0.675556 | − | 1.17010i | −0.976306 | − | 0.216394i | \(-0.930570\pi\) |
0.300750 | − | 0.953703i | \(-0.402763\pi\) | |||||||
\(38\) | −7.00082 | + | 2.54809i | −1.13568 | + | 0.413355i | ||||
\(39\) | 0.562416 | − | 0.512358i | 0.0900586 | − | 0.0820430i | ||||
\(40\) | 0.748364 | − | 0.627952i | 0.118327 | − | 0.0992880i | ||||
\(41\) | 0.827470 | − | 0.694329i | 0.129229 | − | 0.108436i | −0.575882 | − | 0.817533i | \(-0.695341\pi\) |
0.705111 | + | 0.709096i | \(0.250897\pi\) | |||||||
\(42\) | −1.28040 | + | 1.16644i | −0.197570 | + | 0.179985i | ||||
\(43\) | −10.9554 | + | 3.98746i | −1.67069 | + | 0.608081i | −0.991988 | − | 0.126333i | \(-0.959679\pi\) |
−0.678702 | + | 0.734414i | \(0.737457\pi\) | |||||||
\(44\) | 1.96277 | + | 3.39962i | 0.295899 | + | 0.512513i | ||||
\(45\) | −2.82644 | − | 0.774986i | −0.421341 | − | 0.115528i | ||||
\(46\) | 2.32345 | − | 4.02433i | 0.342574 | − | 0.593355i | ||||
\(47\) | 0.138372 | − | 0.784746i | 0.0201836 | − | 0.114467i | −0.973051 | − | 0.230588i | \(-0.925935\pi\) |
0.993235 | + | 0.116121i | \(0.0370461\pi\) | |||||||
\(48\) | −1.60213 | + | 0.658171i | −0.231247 | + | 0.0949989i | ||||
\(49\) | −0.939693 | − | 0.342020i | −0.134242 | − | 0.0488600i | ||||
\(50\) | −0.702516 | − | 3.98416i | −0.0993507 | − | 0.563446i | ||||
\(51\) | 3.25398 | + | 5.14065i | 0.455648 | + | 0.719834i | ||||
\(52\) | 0.336485 | + | 0.282345i | 0.0466621 | + | 0.0391542i | ||||
\(53\) | 8.30175 | 1.14033 | 0.570167 | − | 0.821529i | \(-0.306879\pi\) | ||||
0.570167 | + | 0.821529i | \(0.306879\pi\) | |||||||
\(54\) | 4.35787 | + | 2.83001i | 0.593031 | + | 0.385116i | ||||
\(55\) | −3.83495 | −0.517104 | ||||||||
\(56\) | −0.766044 | − | 0.642788i | −0.102367 | − | 0.0858961i | ||||
\(57\) | −5.99165 | + | 11.4286i | −0.793613 | + | 1.51375i | ||||
\(58\) | −0.771398 | − | 4.37482i | −0.101290 | − | 0.574442i | ||||
\(59\) | 0.398471 | + | 0.145031i | 0.0518765 | + | 0.0188815i | 0.367828 | − | 0.929894i | \(-0.380101\pi\) |
−0.315952 | + | 0.948775i | \(0.602324\pi\) | |||||||
\(60\) | 0.225737 | − | 1.67695i | 0.0291425 | − | 0.216493i | ||||
\(61\) | 0.275687 | − | 1.56350i | 0.0352981 | − | 0.200186i | −0.962059 | − | 0.272842i | \(-0.912036\pi\) |
0.997357 | + | 0.0726561i | \(0.0231476\pi\) | |||||||
\(62\) | 2.55954 | − | 4.43326i | 0.325062 | − | 0.563024i | ||||
\(63\) | −0.278842 | + | 2.98701i | −0.0351308 | + | 0.376328i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | −0.403234 | + | 0.146765i | −0.0500150 | + | 0.0182040i | ||||
\(66\) | 6.47859 | + | 2.06342i | 0.797459 | + | 0.253989i | ||||
\(67\) | 5.61378 | − | 4.71052i | 0.685833 | − | 0.575482i | −0.231871 | − | 0.972746i | \(-0.574485\pi\) |
0.917704 | + | 0.397264i | \(0.130040\pi\) | |||||||
\(68\) | −2.69079 | + | 2.25784i | −0.326306 | + | 0.273803i | ||||
\(69\) | −1.71919 | − | 7.86291i | −0.206967 | − | 0.946583i | ||||
\(70\) | 0.918005 | − | 0.334126i | 0.109723 | − | 0.0399357i | ||||
\(71\) | −5.65742 | − | 9.79894i | −0.671412 | − | 1.16292i | −0.977504 | − | 0.210918i | \(-0.932355\pi\) |
0.306091 | − | 0.952002i | \(-0.400979\pi\) | |||||||
\(72\) | −1.28364 | + | 2.71150i | −0.151279 | + | 0.319554i | ||||
\(73\) | −7.18605 | + | 12.4466i | −0.841064 | + | 1.45676i | 0.0479328 | + | 0.998851i | \(0.484737\pi\) |
−0.888996 | + | 0.457914i | \(0.848597\pi\) | |||||||
\(74\) | 1.42713 | − | 8.09363i | 0.165900 | − | 0.940866i | ||||
\(75\) | −5.54678 | − | 4.28188i | −0.640487 | − | 0.494429i | ||||
\(76\) | −7.00082 | − | 2.54809i | −0.803049 | − | 0.292286i | ||||
\(77\) | 0.681664 | + | 3.86591i | 0.0776829 | + | 0.440561i | ||||
\(78\) | 0.760173 | − | 0.0309756i | 0.0860726 | − | 0.00350730i | ||||
\(79\) | 8.48959 | + | 7.12361i | 0.955153 | + | 0.801469i | 0.980158 | − | 0.198218i | \(-0.0635155\pi\) |
−0.0250044 | + | 0.999687i | \(0.507960\pi\) | |||||||
\(80\) | 0.976920 | 0.109223 | ||||||||
\(81\) | 8.88085 | − | 1.45964i | 0.986761 | − | 0.162183i | ||||
\(82\) | 1.08018 | 0.119286 | ||||||||
\(83\) | 6.15407 | + | 5.16388i | 0.675497 | + | 0.566810i | 0.914687 | − | 0.404163i | \(-0.132437\pi\) |
−0.239190 | + | 0.970973i | \(0.576882\pi\) | |||||||
\(84\) | −1.73061 | + | 0.0705192i | −0.188826 | + | 0.00769428i | ||||
\(85\) | −0.595875 | − | 3.37938i | −0.0646317 | − | 0.366545i | ||||
\(86\) | −10.9554 | − | 3.98746i | −1.18136 | − | 0.429978i | ||||
\(87\) | −6.09065 | − | 4.70172i | −0.652987 | − | 0.504078i | ||||
\(88\) | −0.681664 | + | 3.86591i | −0.0726657 | + | 0.412107i | ||||
\(89\) | 1.02537 | − | 1.77599i | 0.108689 | − | 0.188254i | −0.806551 | − | 0.591165i | \(-0.798668\pi\) |
0.915239 | + | 0.402911i | \(0.132002\pi\) | |||||||
\(90\) | −1.66703 | − | 2.41047i | −0.175720 | − | 0.254086i | ||||
\(91\) | 0.219625 | + | 0.380402i | 0.0230230 | + | 0.0398770i | ||||
\(92\) | 4.36666 | − | 1.58933i | 0.455255 | − | 0.165699i | ||||
\(93\) | −1.89389 | − | 8.66189i | −0.196387 | − | 0.898196i | ||||
\(94\) | 0.610424 | − | 0.512207i | 0.0629605 | − | 0.0528301i | ||||
\(95\) | 5.57540 | − | 4.67832i | 0.572024 | − | 0.479985i | ||||
\(96\) | −1.65036 | − | 0.525639i | −0.168440 | − | 0.0536478i | ||||
\(97\) | −13.7316 | + | 4.99789i | −1.39423 | + | 0.507459i | −0.926461 | − | 0.376390i | \(-0.877165\pi\) |
−0.467772 | + | 0.883849i | \(0.654943\pi\) | |||||||
\(98\) | −0.500000 | − | 0.866025i | −0.0505076 | − | 0.0874818i | ||||
\(99\) | 10.7020 | − | 4.91487i | 1.07559 | − | 0.493963i | ||||
\(100\) | 2.02281 | − | 3.50362i | 0.202281 | − | 0.350362i | ||||
\(101\) | −0.537387 | + | 3.04767i | −0.0534720 | + | 0.303255i | −0.999801 | − | 0.0199502i | \(-0.993649\pi\) |
0.946329 | + | 0.323205i | \(0.104760\pi\) | |||||||
\(102\) | −0.811652 | + | 6.02958i | −0.0803655 | + | 0.597017i | ||||
\(103\) | 8.15570 | + | 2.96843i | 0.803605 | + | 0.292488i | 0.710980 | − | 0.703213i | \(-0.248252\pi\) |
0.0926258 | + | 0.995701i | \(0.470474\pi\) | |||||||
\(104\) | 0.0762750 | + | 0.432577i | 0.00747938 | + | 0.0424177i | ||||
\(105\) | 0.785674 | − | 1.49861i | 0.0766740 | − | 0.146249i | ||||
\(106\) | 6.35951 | + | 5.33626i | 0.617690 | + | 0.518304i | ||||
\(107\) | 8.20871 | 0.793566 | 0.396783 | − | 0.917913i | \(-0.370127\pi\) | ||||
0.396783 | + | 0.917913i | \(0.370127\pi\) | |||||||
\(108\) | 1.51923 | + | 4.96910i | 0.146188 | + | 0.478152i | ||||
\(109\) | −10.0224 | −0.959968 | −0.479984 | − | 0.877277i | \(-0.659358\pi\) | ||||
−0.479984 | + | 0.877277i | \(0.659358\pi\) | |||||||
\(110\) | −2.93774 | − | 2.46506i | −0.280103 | − | 0.235034i | ||||
\(111\) | −7.61344 | − | 12.0277i | −0.722635 | − | 1.14162i | ||||
\(112\) | −0.173648 | − | 0.984808i | −0.0164082 | − | 0.0930556i | ||||
\(113\) | −9.77163 | − | 3.55658i | −0.919237 | − | 0.334575i | −0.161302 | − | 0.986905i | \(-0.551569\pi\) |
−0.757935 | + | 0.652330i | \(0.773792\pi\) | |||||||
\(114\) | −11.9360 | + | 4.90345i | −1.11791 | + | 0.459251i | ||||
\(115\) | −0.788302 | + | 4.47068i | −0.0735095 | + | 0.416893i | ||||
\(116\) | 2.22115 | − | 3.84715i | 0.206229 | − | 0.357199i | ||||
\(117\) | 0.937193 | − | 0.926356i | 0.0866436 | − | 0.0856417i | ||||
\(118\) | 0.212022 | + | 0.367233i | 0.0195182 | + | 0.0338065i | ||||
\(119\) | −3.30074 | + | 1.20137i | −0.302579 | + | 0.110130i | ||||
\(120\) | 1.25085 | − | 1.13952i | 0.114186 | − | 0.104023i | ||||
\(121\) | 3.37820 | − | 2.83465i | 0.307109 | − | 0.257695i | ||||
\(122\) | 1.21619 | − | 1.02050i | 0.110108 | − | 0.0923919i | ||||
\(123\) | 1.38307 | − | 1.25997i | 0.124707 | − | 0.113608i | ||||
\(124\) | 4.81037 | − | 1.75083i | 0.431984 | − | 0.157229i | ||||
\(125\) | 4.41843 | + | 7.65294i | 0.395196 | + | 0.684500i | ||||
\(126\) | −2.13362 | + | 2.10895i | −0.190078 | + | 0.187880i | ||||
\(127\) | −2.00712 | + | 3.47643i | −0.178103 | + | 0.308483i | −0.941231 | − | 0.337764i | \(-0.890329\pi\) |
0.763128 | + | 0.646248i | \(0.223663\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | −18.6785 | + | 7.67332i | −1.64455 | + | 0.675598i | ||||
\(130\) | −0.403234 | − | 0.146765i | −0.0353659 | − | 0.0128722i | ||||
\(131\) | −2.68188 | − | 15.2097i | −0.234317 | − | 1.32888i | −0.844047 | − | 0.536269i | \(-0.819833\pi\) |
0.609730 | − | 0.792609i | \(-0.291278\pi\) | |||||||
\(132\) | 3.63654 | + | 5.74503i | 0.316521 | + | 0.500040i | ||||
\(133\) | −5.70712 | − | 4.78884i | −0.494870 | − | 0.415245i | ||||
\(134\) | 7.32827 | 0.633066 | ||||||||
\(135\) | −4.94613 | − | 1.14188i | −0.425695 | − | 0.0982778i | ||||
\(136\) | −3.51258 | −0.301201 | ||||||||
\(137\) | 0.0237297 | + | 0.0199115i | 0.00202736 | + | 0.00170116i | 0.643801 | − | 0.765193i | \(-0.277357\pi\) |
−0.641773 | + | 0.766894i | \(0.721801\pi\) | |||||||
\(138\) | 3.73720 | − | 7.12842i | 0.318132 | − | 0.606811i | ||||
\(139\) | 0.926206 | + | 5.25277i | 0.0785597 | + | 0.445534i | 0.998561 | + | 0.0536200i | \(0.0170759\pi\) |
−0.920002 | + | 0.391914i | \(0.871813\pi\) | |||||||
\(140\) | 0.918005 | + | 0.334126i | 0.0775856 | + | 0.0282388i | ||||
\(141\) | 0.184129 | − | 1.36785i | 0.0155064 | − | 0.115194i | ||||
\(142\) | 1.96480 | − | 11.1429i | 0.164883 | − | 0.935095i | ||||
\(143\) | 0.862149 | − | 1.49329i | 0.0720965 | − | 0.124875i | ||||
\(144\) | −2.72625 | + | 1.25202i | −0.227188 | + | 0.104335i | ||||
\(145\) | 2.16989 | + | 3.75836i | 0.180200 | + | 0.312115i | ||||
\(146\) | −13.5054 | + | 4.91555i | −1.11771 | + | 0.406814i | ||||
\(147\) | −1.65036 | − | 0.525639i | −0.136120 | − | 0.0433539i | ||||
\(148\) | 6.29573 | − | 5.28274i | 0.517506 | − | 0.434239i | ||||
\(149\) | 11.9762 | − | 10.0492i | 0.981127 | − | 0.823263i | −0.00313222 | − | 0.999995i | \(-0.500997\pi\) |
0.984259 | + | 0.176732i | \(0.0565526\pi\) | |||||||
\(150\) | −1.49674 | − | 6.84551i | −0.122209 | − | 0.558934i | ||||
\(151\) | 11.8729 | − | 4.32137i | 0.966201 | − | 0.351668i | 0.189740 | − | 0.981834i | \(-0.439235\pi\) |
0.776460 | + | 0.630166i | \(0.217013\pi\) | |||||||
\(152\) | −3.72506 | − | 6.45199i | −0.302142 | − | 0.523325i | ||||
\(153\) | 5.99389 | + | 8.66701i | 0.484578 | + | 0.700686i | ||||
\(154\) | −1.96277 | + | 3.39962i | −0.158165 | + | 0.273950i | ||||
\(155\) | −0.868404 | + | 4.92496i | −0.0697519 | + | 0.395582i | ||||
\(156\) | 0.602237 | + | 0.464901i | 0.0482175 | + | 0.0372219i | ||||
\(157\) | 14.9404 | + | 5.43786i | 1.19237 | + | 0.433989i | 0.860556 | − | 0.509355i | \(-0.170116\pi\) |
0.331817 | + | 0.943344i | \(0.392338\pi\) | |||||||
\(158\) | 1.92443 | + | 10.9140i | 0.153100 | + | 0.868272i | ||||
\(159\) | 14.3671 | − | 0.585433i | 1.13939 | − | 0.0464279i | ||||
\(160\) | 0.748364 | + | 0.627952i | 0.0591634 | + | 0.0496440i | ||||
\(161\) | 4.64690 | 0.366227 | ||||||||
\(162\) | 7.74136 | + | 4.59035i | 0.608219 | + | 0.360652i | ||||
\(163\) | 10.6112 | 0.831135 | 0.415567 | − | 0.909562i | \(-0.363583\pi\) | ||||
0.415567 | + | 0.909562i | \(0.363583\pi\) | |||||||
\(164\) | 0.827470 | + | 0.694329i | 0.0646145 | + | 0.0542180i | ||||
\(165\) | −6.63682 | + | 0.270438i | −0.516675 | + | 0.0210535i | ||||
\(166\) | 1.39502 | + | 7.91152i | 0.108274 | + | 0.614053i | ||||
\(167\) | −11.9952 | − | 4.36590i | −0.928217 | − | 0.337843i | −0.166714 | − | 0.986005i | \(-0.553316\pi\) |
−0.761502 | + | 0.648162i | \(0.775538\pi\) | |||||||
\(168\) | −1.37106 | − | 1.05840i | −0.105779 | − | 0.0816571i | ||||
\(169\) | −2.22392 | + | 12.6125i | −0.171071 | + | 0.970192i | ||||
\(170\) | 1.71575 | − | 2.97177i | 0.131592 | − | 0.227925i | ||||
\(171\) | −9.56330 | + | 20.2010i | −0.731324 | + | 1.54481i | ||||
\(172\) | −5.82927 | − | 10.0966i | −0.444478 | − | 0.769858i | ||||
\(173\) | −14.9112 | + | 5.42722i | −1.13367 | + | 0.412624i | −0.839625 | − | 0.543166i | \(-0.817225\pi\) |
−0.294049 | + | 0.955790i | \(0.595003\pi\) | |||||||
\(174\) | −1.64350 | − | 7.51673i | −0.124594 | − | 0.569841i | ||||
\(175\) | 3.09913 | − | 2.60048i | 0.234272 | − | 0.196578i | ||||
\(176\) | −3.00714 | + | 2.52329i | −0.226672 | + | 0.190200i | ||||
\(177\) | 0.699827 | + | 0.222894i | 0.0526022 | + | 0.0167537i | ||||
\(178\) | 1.92706 | − | 0.701392i | 0.144439 | − | 0.0525715i | ||||
\(179\) | 13.0385 | + | 22.5833i | 0.974543 | + | 1.68796i | 0.681435 | + | 0.731878i | \(0.261356\pi\) |
0.293108 | + | 0.956079i | \(0.405311\pi\) | |||||||
\(180\) | 0.272407 | − | 2.91807i | 0.0203040 | − | 0.217500i | ||||
\(181\) | −8.08074 | + | 13.9962i | −0.600637 | + | 1.04033i | 0.392088 | + | 0.919928i | \(0.371753\pi\) |
−0.992725 | + | 0.120405i | \(0.961581\pi\) | |||||||
\(182\) | −0.0762750 | + | 0.432577i | −0.00565388 | + | 0.0320647i | ||||
\(183\) | 0.366852 | − | 2.72526i | 0.0271184 | − | 0.201457i | ||||
\(184\) | 4.36666 | + | 1.58933i | 0.321914 | + | 0.117167i | ||||
\(185\) | 1.39419 | + | 7.90683i | 0.102503 | + | 0.581322i | ||||
\(186\) | 4.11695 | − | 7.85276i | 0.301870 | − | 0.575792i | ||||
\(187\) | 10.5628 | + | 8.86326i | 0.772430 | + | 0.648146i | ||||
\(188\) | 0.796852 | 0.0581164 | ||||||||
\(189\) | −0.271927 | + | 5.18903i | −0.0197798 | + | 0.377447i | ||||
\(190\) | 7.27817 | 0.528014 | ||||||||
\(191\) | 15.3257 | + | 12.8598i | 1.10893 | + | 0.930503i | 0.997993 | − | 0.0633249i | \(-0.0201704\pi\) |
0.110937 | + | 0.993827i | \(0.464615\pi\) | |||||||
\(192\) | −0.926379 | − | 1.46350i | −0.0668556 | − | 0.105619i | ||||
\(193\) | −2.44378 | − | 13.8593i | −0.175907 | − | 0.997617i | −0.937092 | − | 0.349083i | \(-0.886493\pi\) |
0.761185 | − | 0.648535i | \(-0.224618\pi\) | |||||||
\(194\) | −13.7316 | − | 4.99789i | −0.985872 | − | 0.358828i | ||||
\(195\) | −0.687493 | + | 0.282430i | −0.0492324 | + | 0.0202252i | ||||
\(196\) | 0.173648 | − | 0.984808i | 0.0124034 | − | 0.0703434i | ||||
\(197\) | −9.99059 | + | 17.3042i | −0.711800 | + | 1.23287i | 0.252381 | + | 0.967628i | \(0.418787\pi\) |
−0.964181 | + | 0.265246i | \(0.914547\pi\) | |||||||
\(198\) | 11.3574 | + | 3.11412i | 0.807139 | + | 0.221311i | ||||
\(199\) | −5.83872 | − | 10.1130i | −0.413896 | − | 0.716889i | 0.581416 | − | 0.813606i | \(-0.302499\pi\) |
−0.995312 | + | 0.0967177i | \(0.969166\pi\) | |||||||
\(200\) | 3.80165 | − | 1.38369i | 0.268817 | − | 0.0978414i | ||||
\(201\) | 9.38311 | − | 8.54798i | 0.661834 | − | 0.602928i | ||||
\(202\) | −2.37067 | + | 1.98923i | −0.166800 | + | 0.139962i | ||||
\(203\) | 3.40300 | − | 2.85546i | 0.238844 | − | 0.200414i | ||||
\(204\) | −4.49750 | + | 4.09721i | −0.314888 | + | 0.286862i | ||||
\(205\) | −0.991615 | + | 0.360918i | −0.0692574 | + | 0.0252076i | ||||
\(206\) | 4.33956 | + | 7.51634i | 0.302351 | + | 0.523688i | ||||
\(207\) | −3.52975 | − | 13.4864i | −0.245335 | − | 0.937372i | ||||
\(208\) | −0.219625 | + | 0.380402i | −0.0152283 | + | 0.0263761i | ||||
\(209\) | −5.07848 | + | 28.8015i | −0.351286 | + | 1.99224i | ||||
\(210\) | 1.56515 | − | 0.642981i | 0.108006 | − | 0.0443699i | ||||
\(211\) | 11.0688 | + | 4.02872i | 0.762009 | + | 0.277349i | 0.693650 | − | 0.720312i | \(-0.256001\pi\) |
0.0683591 | + | 0.997661i | \(0.478224\pi\) | |||||||
\(212\) | 1.44158 | + | 8.17563i | 0.0990084 | + | 0.561504i | ||||
\(213\) | −10.4818 | − | 16.5592i | −0.718203 | − | 1.13462i | ||||
\(214\) | 6.28823 | + | 5.27645i | 0.429855 | + | 0.360691i | ||||
\(215\) | 11.3895 | 0.776755 | ||||||||
\(216\) | −2.03028 | + | 4.78309i | −0.138143 | + | 0.325448i | ||||
\(217\) | 5.11908 | 0.347506 | ||||||||
\(218\) | −7.67757 | − | 6.44225i | −0.519991 | − | 0.436324i | ||||
\(219\) | −11.5586 | + | 22.0470i | −0.781055 | + | 1.48980i | ||||
\(220\) | −0.665932 | − | 3.77669i | −0.0448971 | − | 0.254624i | ||||
\(221\) | 1.44985 | + | 0.527703i | 0.0975276 | + | 0.0354971i | ||||
\(222\) | 1.89905 | − | 14.1076i | 0.127456 | − | 0.946840i | ||||
\(223\) | 0.270495 | − | 1.53405i | 0.0181137 | − | 0.102728i | −0.974411 | − | 0.224776i | \(-0.927835\pi\) |
0.992524 | + | 0.122048i | \(0.0389462\pi\) | |||||||
\(224\) | 0.500000 | − | 0.866025i | 0.0334077 | − | 0.0578638i | ||||
\(225\) | −9.90130 | − | 7.01913i | −0.660087 | − | 0.467942i | ||||
\(226\) | −5.19937 | − | 9.00558i | −0.345857 | − | 0.599042i | ||||
\(227\) | 15.8102 | − | 5.75445i | 1.04936 | − | 0.381936i | 0.240940 | − | 0.970540i | \(-0.422544\pi\) |
0.808422 | + | 0.588604i | \(0.200322\pi\) | |||||||
\(228\) | −12.2954 | − | 3.91607i | −0.814283 | − | 0.259348i | ||||
\(229\) | −4.76314 | + | 3.99675i | −0.314757 | + | 0.264113i | −0.786455 | − | 0.617648i | \(-0.788086\pi\) |
0.471698 | + | 0.881760i | \(0.343641\pi\) | |||||||
\(230\) | −3.47757 | + | 2.91803i | −0.229304 | + | 0.192409i | ||||
\(231\) | 1.45232 | + | 6.64233i | 0.0955556 | + | 0.437033i | ||||
\(232\) | 4.17440 | − | 1.51936i | 0.274063 | − | 0.0997508i | ||||
\(233\) | −4.21509 | − | 7.30075i | −0.276140 | − | 0.478288i | 0.694282 | − | 0.719703i | \(-0.255722\pi\) |
−0.970422 | + | 0.241415i | \(0.922389\pi\) | |||||||
\(234\) | 1.31338 | − | 0.107214i | 0.0858585 | − | 0.00700877i | ||||
\(235\) | −0.389231 | + | 0.674167i | −0.0253906 | + | 0.0439778i | ||||
\(236\) | −0.0736344 | + | 0.417601i | −0.00479319 | + | 0.0271835i | ||||
\(237\) | 15.1946 | + | 11.7295i | 0.986993 | + | 0.761916i | ||||
\(238\) | −3.30074 | − | 1.20137i | −0.213955 | − | 0.0778734i | ||||
\(239\) | 2.07919 | + | 11.7917i | 0.134492 | + | 0.762742i | 0.975212 | + | 0.221272i | \(0.0710208\pi\) |
−0.840720 | + | 0.541470i | \(0.817868\pi\) | |||||||
\(240\) | 1.69067 | − | 0.0688917i | 0.109132 | − | 0.00444694i | ||||
\(241\) | −6.34822 | − | 5.32679i | −0.408925 | − | 0.343129i | 0.415006 | − | 0.909819i | \(-0.363779\pi\) |
−0.823931 | + | 0.566690i | \(0.808224\pi\) | |||||||
\(242\) | 4.40993 | 0.283481 | ||||||||
\(243\) | 15.2664 | − | 3.15235i | 0.979339 | − | 0.202223i | ||||
\(244\) | 1.58762 | 0.101637 | ||||||||
\(245\) | 0.748364 | + | 0.627952i | 0.0478112 | + | 0.0401184i | ||||
\(246\) | 1.86938 | − | 0.0761738i | 0.119188 | − | 0.00485666i | ||||
\(247\) | 0.568258 | + | 3.22275i | 0.0361574 | + | 0.205059i | ||||
\(248\) | 4.81037 | + | 1.75083i | 0.305459 | + | 0.111178i | ||||
\(249\) | 11.0145 | + | 8.50271i | 0.698014 | + | 0.538837i | ||||
\(250\) | −1.53450 | + | 8.70260i | −0.0970506 | + | 0.550401i | ||||
\(251\) | 10.2624 | − | 17.7749i | 0.647755 | − | 1.12194i | −0.335903 | − | 0.941897i | \(-0.609042\pi\) |
0.983658 | − | 0.180048i | \(-0.0576252\pi\) | |||||||
\(252\) | −2.99005 | + | 0.244083i | −0.188356 | + | 0.0153758i | ||||
\(253\) | −9.12081 | − | 15.7977i | −0.573421 | − | 0.993194i | ||||
\(254\) | −3.77215 | + | 1.37295i | −0.236686 | + | 0.0861465i | ||||
\(255\) | −1.26954 | − | 5.80638i | −0.0795018 | − | 0.363609i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | −7.20416 | + | 6.04501i | −0.449383 | + | 0.377077i | −0.839207 | − | 0.543812i | \(-0.816980\pi\) |
0.389824 | + | 0.920889i | \(0.372536\pi\) | |||||||
\(258\) | −19.2408 | − | 6.12818i | −1.19788 | − | 0.381524i | ||||
\(259\) | 7.72286 | − | 2.81089i | 0.479875 | − | 0.174660i | ||||
\(260\) | −0.214556 | − | 0.371622i | −0.0133062 | − | 0.0230470i | ||||
\(261\) | −10.8721 | − | 7.70736i | −0.672968 | − | 0.477074i | ||||
\(262\) | 7.72217 | − | 13.3752i | 0.477077 | − | 0.826322i | ||||
\(263\) | −2.47013 | + | 14.0088i | −0.152315 | + | 0.863820i | 0.808885 | + | 0.587967i | \(0.200071\pi\) |
−0.961200 | + | 0.275853i | \(0.911040\pi\) | |||||||
\(264\) | −0.907077 | + | 6.73847i | −0.0558267 | + | 0.414724i | ||||
\(265\) | −7.62105 | − | 2.77383i | −0.468157 | − | 0.170395i | ||||
\(266\) | −1.29370 | − | 7.33693i | −0.0793218 | − | 0.449856i | ||||
\(267\) | 1.64927 | − | 3.14586i | 0.100934 | − | 0.192523i | ||||
\(268\) | 5.61378 | + | 4.71052i | 0.342916 | + | 0.287741i | ||||
\(269\) | −24.9316 | −1.52011 | −0.760054 | − | 0.649859i | \(-0.774828\pi\) | ||||
−0.760054 | + | 0.649859i | \(0.774828\pi\) | |||||||
\(270\) | −3.05496 | − | 4.05404i | −0.185919 | − | 0.246721i | ||||
\(271\) | 19.8520 | 1.20593 | 0.602963 | − | 0.797769i | \(-0.293987\pi\) | ||||
0.602963 | + | 0.797769i | \(0.293987\pi\) | |||||||
\(272\) | −2.69079 | − | 2.25784i | −0.163153 | − | 0.136902i | ||||
\(273\) | 0.406912 | + | 0.642841i | 0.0246274 | + | 0.0389065i | ||||
\(274\) | 0.00537908 | + | 0.0305063i | 0.000324962 | + | 0.00184295i | ||||
\(275\) | −14.9235 | − | 5.43173i | −0.899924 | − | 0.327545i | ||||
\(276\) | 7.44492 | − | 3.05846i | 0.448132 | − | 0.184097i | ||||
\(277\) | 0.382310 | − | 2.16819i | 0.0229708 | − | 0.130274i | −0.971166 | − | 0.238405i | \(-0.923375\pi\) |
0.994137 | + | 0.108131i | \(0.0344866\pi\) | |||||||
\(278\) | −2.66690 | + | 4.61921i | −0.159950 | + | 0.277042i | ||||
\(279\) | −3.88842 | − | 14.8568i | −0.232794 | − | 0.889455i | ||||
\(280\) | 0.488460 | + | 0.846038i | 0.0291911 | + | 0.0505604i | ||||
\(281\) | −10.4277 | + | 3.79535i | −0.622062 | + | 0.226412i | −0.633772 | − | 0.773520i | \(-0.718494\pi\) |
0.0117109 | + | 0.999931i | \(0.496272\pi\) | |||||||
\(282\) | 1.02029 | − | 0.929479i | 0.0607573 | − | 0.0553497i | ||||
\(283\) | 9.94689 | − | 8.34643i | 0.591281 | − | 0.496144i | −0.297349 | − | 0.954769i | \(-0.596102\pi\) |
0.888630 | + | 0.458625i | \(0.151658\pi\) | |||||||
\(284\) | 8.66767 | − | 7.27304i | 0.514332 | − | 0.431576i | ||||
\(285\) | 9.31896 | − | 8.48954i | 0.552007 | − | 0.502877i | ||||
\(286\) | 1.62031 | − | 0.589745i | 0.0958110 | − | 0.0348723i | ||||
\(287\) | 0.540092 | + | 0.935468i | 0.0318806 | + | 0.0552189i | ||||
\(288\) | −2.89321 | − | 0.793295i | −0.170484 | − | 0.0467454i | ||||
\(289\) | 2.33090 | − | 4.03724i | 0.137112 | − | 0.237485i | ||||
\(290\) | −0.753595 | + | 4.27385i | −0.0442526 | + | 0.250969i | ||||
\(291\) | −23.4117 | + | 9.61777i | −1.37242 | + | 0.563804i | ||||
\(292\) | −13.5054 | − | 4.91555i | −0.790341 | − | 0.287661i | ||||
\(293\) | 1.44373 | + | 8.18782i | 0.0843438 | + | 0.478337i | 0.997496 | + | 0.0707192i | \(0.0225294\pi\) |
−0.913152 | + | 0.407618i | \(0.866359\pi\) | |||||||
\(294\) | −0.926379 | − | 1.46350i | −0.0540275 | − | 0.0853529i | ||||
\(295\) | −0.317339 | − | 0.266279i | −0.0184762 | − | 0.0155034i | ||||
\(296\) | 8.21849 | 0.477690 | ||||||||
\(297\) | 18.1745 | − | 9.26045i | 1.05459 | − | 0.537346i | ||||
\(298\) | 15.6338 | 0.905641 | ||||||||
\(299\) | −1.56361 | − | 1.31203i | −0.0904261 | − | 0.0758765i | ||||
\(300\) | 3.25364 | − | 6.20606i | 0.187849 | − | 0.358307i | ||||
\(301\) | −2.02448 | − | 11.4814i | −0.116689 | − | 0.661778i | ||||
\(302\) | 11.8729 | + | 4.32137i | 0.683207 | + | 0.248667i | ||||
\(303\) | −0.715090 | + | 5.31224i | −0.0410809 | + | 0.305180i | ||||
\(304\) | 1.29370 | − | 7.33693i | 0.0741987 | − | 0.420802i | ||||
\(305\) | −0.775489 | + | 1.34319i | −0.0444044 | + | 0.0769106i | ||||
\(306\) | −0.979455 | + | 10.4921i | −0.0559917 | + | 0.599794i | ||||
\(307\) | 2.95070 | + | 5.11077i | 0.168406 | + | 0.291687i | 0.937859 | − | 0.347015i | \(-0.112805\pi\) |
−0.769454 | + | 0.638702i | \(0.779472\pi\) | |||||||
\(308\) | −3.68881 | + | 1.34262i | −0.210189 | + | 0.0765027i | ||||
\(309\) | 14.3237 | + | 4.56208i | 0.814848 | + | 0.259528i | ||||
\(310\) | −3.83094 | + | 3.21454i | −0.217583 | + | 0.182574i | ||||
\(311\) | 18.2228 | − | 15.2908i | 1.03332 | − | 0.867060i | 0.0420796 | − | 0.999114i | \(-0.486602\pi\) |
0.991243 | + | 0.132054i | \(0.0421572\pi\) | |||||||
\(312\) | 0.162508 | + | 0.743245i | 0.00920018 | + | 0.0420780i | ||||
\(313\) | 23.5361 | − | 8.56646i | 1.33034 | − | 0.484205i | 0.423584 | − | 0.905857i | \(-0.360772\pi\) |
0.906758 | + | 0.421652i | \(0.138550\pi\) | |||||||
\(314\) | 7.94962 | + | 13.7691i | 0.448623 | + | 0.777038i | ||||
\(315\) | 1.25402 | − | 2.64892i | 0.0706559 | − | 0.149250i | ||||
\(316\) | −5.54119 | + | 9.59762i | −0.311716 | + | 0.539908i | ||||
\(317\) | −4.52271 | + | 25.6496i | −0.254021 | + | 1.44062i | 0.544554 | + | 0.838726i | \(0.316699\pi\) |
−0.798574 | + | 0.601896i | \(0.794412\pi\) | |||||||
\(318\) | 11.3822 | + | 8.78655i | 0.638280 | + | 0.492725i | ||||
\(319\) | −16.3868 | − | 5.96431i | −0.917486 | − | 0.333938i | ||||
\(320\) | 0.169640 | + | 0.962079i | 0.00948319 | + | 0.0537818i | ||||
\(321\) | 14.2061 | − | 0.578872i | 0.792908 | − | 0.0323095i | ||||
\(322\) | 3.55973 | + | 2.98697i | 0.198376 | + | 0.166457i | ||||
\(323\) | −26.1691 | −1.45609 | ||||||||
\(324\) | 2.97961 | + | 8.49246i | 0.165534 | + | 0.471803i | ||||
\(325\) | −1.77704 | −0.0985726 | ||||||||
\(326\) | 8.12867 | + | 6.82076i | 0.450205 | + | 0.377767i | ||||
\(327\) | −17.3448 | + | 0.706769i | −0.959172 | + | 0.0390844i | ||||
\(328\) | 0.187572 | + | 1.06377i | 0.0103569 | + | 0.0587371i | ||||
\(329\) | 0.748796 | + | 0.272540i | 0.0412825 | + | 0.0150256i | ||||
\(330\) | −5.25793 | − | 4.05890i | −0.289440 | − | 0.223435i | ||||
\(331\) | 3.17760 | − | 18.0211i | 0.174657 | − | 0.990527i | −0.763883 | − | 0.645355i | \(-0.776709\pi\) |
0.938539 | − | 0.345172i | \(-0.112179\pi\) | |||||||
\(332\) | −4.01679 | + | 6.95728i | −0.220450 | + | 0.381830i | ||||
\(333\) | −14.0241 | − | 20.2785i | −0.768516 | − | 1.11125i | ||||
\(334\) | −6.38251 | − | 11.0548i | −0.349236 | − | 0.604894i | ||||
\(335\) | −6.72739 | + | 2.44857i | −0.367557 | + | 0.133780i | ||||
\(336\) | −0.369966 | − | 1.69208i | −0.0201833 | − | 0.0923104i | ||||
\(337\) | 16.2702 | − | 13.6523i | 0.886296 | − | 0.743691i | −0.0811677 | − | 0.996700i | \(-0.525865\pi\) |
0.967464 | + | 0.253010i | \(0.0814205\pi\) | |||||||
\(338\) | −9.81078 | + | 8.23222i | −0.533636 | + | 0.447774i | ||||
\(339\) | −17.1617 | − | 5.46598i | −0.932097 | − | 0.296872i | ||||
\(340\) | 3.22456 | − | 1.17364i | 0.174876 | − | 0.0636498i | ||||
\(341\) | −10.0476 | − | 17.4030i | −0.544108 | − | 0.942423i | ||||
\(342\) | −20.3109 | + | 9.32771i | −1.09829 | + | 0.504385i | ||||
\(343\) | 0.500000 | − | 0.866025i | 0.0269975 | − | 0.0467610i | ||||
\(344\) | 2.02448 | − | 11.4814i | 0.109153 | − | 0.619037i | ||||
\(345\) | −1.04898 | + | 7.79262i | −0.0564751 | + | 0.419540i | ||||
\(346\) | −14.9112 | − | 5.42722i | −0.801629 | − | 0.291769i | ||||
\(347\) | −2.77456 | − | 15.7353i | −0.148946 | − | 0.844716i | −0.964113 | − | 0.265490i | \(-0.914466\pi\) |
0.815167 | − | 0.579226i | \(-0.196645\pi\) | |||||||
\(348\) | 3.57266 | − | 6.81457i | 0.191515 | − | 0.365299i | ||||
\(349\) | −0.687968 | − | 0.577273i | −0.0368261 | − | 0.0309007i | 0.624189 | − | 0.781273i | \(-0.285430\pi\) |
−0.661015 | + | 0.750373i | \(0.729874\pi\) | |||||||
\(350\) | 4.04563 | 0.216248 | ||||||||
\(351\) | 1.55659 | − | 1.66926i | 0.0830849 | − | 0.0890983i | ||||
\(352\) | −3.92555 | −0.209232 | ||||||||
\(353\) | 4.83241 | + | 4.05487i | 0.257203 | + | 0.215819i | 0.762267 | − | 0.647263i | \(-0.224086\pi\) |
−0.505063 | + | 0.863082i | \(0.668531\pi\) | |||||||
\(354\) | 0.392825 | + | 0.620586i | 0.0208784 | + | 0.0329838i | ||||
\(355\) | 1.91945 | + | 10.8858i | 0.101874 | + | 0.577757i | ||||
\(356\) | 1.92706 | + | 0.701392i | 0.102134 | + | 0.0371737i | ||||
\(357\) | −5.62759 | + | 2.31188i | −0.297844 | + | 0.122358i | ||||
\(358\) | −4.52822 | + | 25.6808i | −0.239324 | + | 1.35727i | ||||
\(359\) | 2.18977 | − | 3.79279i | 0.115571 | − | 0.200176i | −0.802437 | − | 0.596737i | \(-0.796463\pi\) |
0.918008 | + | 0.396562i | \(0.129797\pi\) | |||||||
\(360\) | 2.08438 | − | 2.06027i | 0.109856 | − | 0.108586i | ||||
\(361\) | −18.2521 | − | 31.6136i | −0.960637 | − | 1.66387i | ||||
\(362\) | −15.1868 | + | 5.52755i | −0.798202 | + | 0.290522i | ||||
\(363\) | 5.64647 | − | 5.14391i | 0.296363 | − | 0.269985i | ||||
\(364\) | −0.336485 | + | 0.282345i | −0.0176366 | + | 0.0147989i | ||||
\(365\) | 10.7556 | − | 9.02499i | 0.562972 | − | 0.472390i | ||||
\(366\) | 2.03279 | − | 1.85186i | 0.106255 | − | 0.0967983i | ||||
\(367\) | −28.1200 | + | 10.2348i | −1.46785 | + | 0.534254i | −0.947516 | − | 0.319707i | \(-0.896415\pi\) |
−0.520336 | + | 0.853962i | \(0.674193\pi\) | |||||||
\(368\) | 2.32345 | + | 4.02433i | 0.121118 | + | 0.209783i | ||||
\(369\) | 2.30470 | − | 2.27805i | 0.119978 | − | 0.118591i | ||||
\(370\) | −4.01441 | + | 6.95315i | −0.208699 | + | 0.361477i | ||||
\(371\) | −1.44158 | + | 8.17563i | −0.0748433 | + | 0.424457i | ||||
\(372\) | 8.20142 | − | 3.36924i | 0.425224 | − | 0.174687i | ||||
\(373\) | 12.3358 | + | 4.48985i | 0.638721 | + | 0.232476i | 0.641023 | − | 0.767522i | \(-0.278510\pi\) |
−0.00230146 | + | 0.999997i | \(0.500733\pi\) | |||||||
\(374\) | 2.39440 | + | 13.5793i | 0.123811 | + | 0.702169i | ||||
\(375\) | 8.18628 | + | 12.9327i | 0.422737 | + | 0.667842i | ||||
\(376\) | 0.610424 | + | 0.512207i | 0.0314802 | + | 0.0264151i | ||||
\(377\) | −1.95128 | −0.100496 | ||||||||
\(378\) | −3.54375 | + | 3.80024i | −0.182271 | + | 0.195463i | ||||
\(379\) | −1.87232 | −0.0961745 | −0.0480872 | − | 0.998843i | \(-0.515313\pi\) | ||||
−0.0480872 | + | 0.998843i | \(0.515313\pi\) | |||||||
\(380\) | 5.57540 | + | 4.67832i | 0.286012 | + | 0.239993i | ||||
\(381\) | −3.22839 | + | 6.15790i | −0.165395 | + | 0.315479i | ||||
\(382\) | 3.47406 | + | 19.7024i | 0.177748 | + | 1.00806i | ||||
\(383\) | −25.1840 | − | 9.16621i | −1.28684 | − | 0.468372i | −0.394152 | − | 0.919045i | \(-0.628962\pi\) |
−0.892689 | + | 0.450674i | \(0.851184\pi\) | |||||||
\(384\) | 0.231070 | − | 1.71657i | 0.0117918 | − | 0.0875983i | ||||
\(385\) | 0.665932 | − | 3.77669i | 0.0339390 | − | 0.192478i | ||||
\(386\) | 7.03657 | − | 12.1877i | 0.358152 | − | 0.620338i | ||||
\(387\) | −31.7841 | + | 14.5967i | −1.61568 | + | 0.741994i | ||||
\(388\) | −7.30643 | − | 12.6551i | −0.370928 | − | 0.642466i | ||||
\(389\) | 29.2650 | − | 10.6516i | 1.48379 | − | 0.540057i | 0.531987 | − | 0.846753i | \(-0.321446\pi\) |
0.951808 | + | 0.306696i | \(0.0992234\pi\) | |||||||
\(390\) | −0.708192 | − | 0.225558i | −0.0358607 | − | 0.0114216i | ||||
\(391\) | 12.5038 | − | 10.4920i | 0.632346 | − | 0.530601i | ||||
\(392\) | 0.766044 | − | 0.642788i | 0.0386911 | − | 0.0324657i | ||||
\(393\) | −5.71388 | − | 26.1330i | −0.288227 | − | 1.31824i | ||||
\(394\) | −18.7762 | + | 6.83397i | −0.945930 | + | 0.344290i | ||||
\(395\) | −5.41330 | − | 9.37611i | −0.272373 | − | 0.471763i | ||||
\(396\) | 6.69859 | + | 9.68598i | 0.336617 | + | 0.486739i | ||||
\(397\) | −15.1504 | + | 26.2412i | −0.760374 | + | 1.31701i | 0.182283 | + | 0.983246i | \(0.441651\pi\) |
−0.942658 | + | 0.333761i | \(0.891682\pi\) | |||||||
\(398\) | 2.02777 | − | 11.5000i | 0.101643 | − | 0.576445i | ||||
\(399\) | −10.2145 | − | 7.88518i | −0.511366 | − | 0.394753i | ||||
\(400\) | 3.80165 | + | 1.38369i | 0.190082 | + | 0.0691843i | ||||
\(401\) | 0.274112 | + | 1.55456i | 0.0136885 | + | 0.0776313i | 0.990887 | − | 0.134698i | \(-0.0430063\pi\) |
−0.977198 | + | 0.212329i | \(0.931895\pi\) | |||||||
\(402\) | 12.6824 | − | 0.516784i | 0.632541 | − | 0.0257749i | ||||
\(403\) | −1.72250 | − | 1.44535i | −0.0858036 | − | 0.0719978i | ||||
\(404\) | −3.09469 | −0.153967 | ||||||||
\(405\) | −8.64037 | − | 1.62737i | −0.429343 | − | 0.0808644i | ||||
\(406\) | 4.44231 | 0.220468 | ||||||||
\(407\) | −24.7142 | − | 20.7377i | −1.22504 | − | 1.02793i | ||||
\(408\) | −6.07892 | + | 0.247704i | −0.300951 | + | 0.0122632i | ||||
\(409\) | 0.108822 | + | 0.617159i | 0.00538089 | + | 0.0305166i | 0.987380 | − | 0.158369i | \(-0.0506236\pi\) |
−0.981999 | + | 0.188886i | \(0.939512\pi\) | |||||||
\(410\) | −0.991615 | − | 0.360918i | −0.0489724 | − | 0.0178245i | ||||
\(411\) | 0.0424710 | + | 0.0327858i | 0.00209494 | + | 0.00161721i | ||||
\(412\) | −1.50711 | + | 8.54726i | −0.0742501 | + | 0.421093i | ||||
\(413\) | −0.212022 | + | 0.367233i | −0.0104329 | + | 0.0180703i | ||||
\(414\) | 5.96497 | − | 12.6001i | 0.293162 | − | 0.619260i | ||||
\(415\) | −3.92408 | − | 6.79671i | −0.192625 | − | 0.333637i | ||||
\(416\) | −0.412760 | + | 0.150232i | −0.0202372 | + | 0.00736575i | ||||
\(417\) | 1.97333 | + | 9.02521i | 0.0966342 | + | 0.441966i | ||||
\(418\) | −22.4036 | + | 18.7988i | −1.09579 | + | 0.919481i | ||||
\(419\) | 13.7383 | − | 11.5278i | 0.671159 | − | 0.563169i | −0.242250 | − | 0.970214i | \(-0.577885\pi\) |
0.913408 | + | 0.407045i | \(0.133441\pi\) | |||||||
\(420\) | 1.61227 | + | 0.513507i | 0.0786710 | + | 0.0250566i | ||||
\(421\) | −17.8710 | + | 6.50452i | −0.870980 | + | 0.317011i | −0.738564 | − | 0.674183i | \(-0.764496\pi\) |
−0.132416 | + | 0.991194i | \(0.542274\pi\) | |||||||
\(422\) | 5.88960 | + | 10.2011i | 0.286701 | + | 0.496581i | ||||
\(423\) | 0.222196 | − | 2.38021i | 0.0108035 | − | 0.115730i | ||||
\(424\) | −4.15087 | + | 7.18953i | −0.201584 | + | 0.349154i | ||||
\(425\) | 2.46764 | − | 13.9947i | 0.119698 | − | 0.678842i | ||||
\(426\) | 2.61452 | − | 19.4227i | 0.126674 | − | 0.941033i | ||||
\(427\) | 1.49187 | + | 0.542998i | 0.0721969 | + | 0.0262775i | ||||
\(428\) | 1.42543 | + | 8.08400i | 0.0689006 | + | 0.390755i | ||||
\(429\) | 1.38674 | − | 2.64510i | 0.0669526 | − | 0.127707i | ||||
\(430\) | 8.72484 | + | 7.32101i | 0.420749 | + | 0.353050i | ||||
\(431\) | −32.4225 | −1.56174 | −0.780869 | − | 0.624695i | \(-0.785224\pi\) | ||||
−0.780869 | + | 0.624695i | \(0.785224\pi\) | |||||||
\(432\) | −4.62980 | + | 2.35902i | −0.222751 | + | 0.113498i | ||||
\(433\) | 34.4240 | 1.65431 | 0.827157 | − | 0.561971i | \(-0.189957\pi\) | ||||
0.827157 | + | 0.561971i | \(0.189957\pi\) | |||||||
\(434\) | 3.92145 | + | 3.29048i | 0.188235 | + | 0.157948i | ||||
\(435\) | 4.02028 | + | 6.35125i | 0.192758 | + | 0.304519i | ||||
\(436\) | −1.74036 | − | 9.87010i | −0.0833483 | − | 0.472692i | ||||
\(437\) | 32.5321 | + | 11.8407i | 1.55622 | + | 0.566418i | ||||
\(438\) | −23.0259 | + | 9.45931i | −1.10022 | + | 0.451983i | ||||
\(439\) | −1.69593 | + | 9.61811i | −0.0809424 | + | 0.459047i | 0.917216 | + | 0.398390i | \(0.130431\pi\) |
−0.998159 | + | 0.0606575i | \(0.980680\pi\) | |||||||
\(440\) | 1.91747 | − | 3.32116i | 0.0914120 | − | 0.158330i | ||||
\(441\) | −2.89321 | − | 0.793295i | −0.137772 | − | 0.0377760i | ||||
\(442\) | 0.771450 | + | 1.33619i | 0.0366941 | + | 0.0635561i | ||||
\(443\) | 3.74337 | − | 1.36248i | 0.177853 | − | 0.0647332i | −0.251559 | − | 0.967842i | \(-0.580943\pi\) |
0.429412 | + | 0.903109i | \(0.358721\pi\) | |||||||
\(444\) | 10.5229 | − | 9.58636i | 0.499397 | − | 0.454949i | ||||
\(445\) | −1.53469 | + | 1.28776i | −0.0727515 | + | 0.0610458i | ||||
\(446\) | 1.19328 | − | 1.00128i | 0.0565034 | − | 0.0474120i | ||||
\(447\) | 20.0175 | − | 18.2359i | 0.946795 | − | 0.862526i | ||||
\(448\) | 0.939693 | − | 0.342020i | 0.0443963 | − | 0.0161589i | ||||
\(449\) | −6.94343 | − | 12.0264i | −0.327681 | − | 0.567560i | 0.654370 | − | 0.756174i | \(-0.272934\pi\) |
−0.982051 | + | 0.188614i | \(0.939600\pi\) | |||||||
\(450\) | −3.07303 | − | 11.7414i | −0.144864 | − | 0.553495i | ||||
\(451\) | 2.12016 | − | 3.67222i | 0.0998344 | − | 0.172918i | ||||
\(452\) | 1.80572 | − | 10.2408i | 0.0849341 | − | 0.481685i | ||||
\(453\) | 20.2426 | − | 8.31589i | 0.951081 | − | 0.390715i | ||||
\(454\) | 15.8102 | + | 5.75445i | 0.742011 | + | 0.270070i | ||||
\(455\) | −0.0745146 | − | 0.422593i | −0.00349330 | − | 0.0198115i | ||||
\(456\) | −6.90163 | − | 10.9032i | −0.323198 | − | 0.510590i | ||||
\(457\) | −20.0862 | − | 16.8543i | −0.939592 | − | 0.788411i | 0.0379224 | − | 0.999281i | \(-0.487926\pi\) |
−0.977514 | + | 0.210870i | \(0.932370\pi\) | |||||||
\(458\) | −6.21784 | −0.290540 | ||||||||
\(459\) | 10.9843 | + | 14.5766i | 0.512704 | + | 0.680376i | ||||
\(460\) | −4.53965 | −0.211662 | ||||||||
\(461\) | −6.55853 | − | 5.50326i | −0.305461 | − | 0.256312i | 0.477152 | − | 0.878821i | \(-0.341669\pi\) |
−0.782613 | + | 0.622509i | \(0.786114\pi\) | |||||||
\(462\) | −3.15707 | + | 6.02185i | −0.146880 | + | 0.280162i | ||||
\(463\) | 1.66845 | + | 9.46225i | 0.0775394 | + | 0.439748i | 0.998719 | + | 0.0506090i | \(0.0161162\pi\) |
−0.921179 | + | 0.389139i | \(0.872773\pi\) | |||||||
\(464\) | 4.17440 | + | 1.51936i | 0.193792 | + | 0.0705344i | ||||
\(465\) | −1.15557 | + | 8.58445i | −0.0535882 | + | 0.398094i | ||||
\(466\) | 1.46388 | − | 8.30210i | 0.0678132 | − | 0.384587i | ||||
\(467\) | −21.3828 | + | 37.0361i | −0.989477 | + | 1.71383i | −0.369436 | + | 0.929256i | \(0.620449\pi\) |
−0.620041 | + | 0.784569i | \(0.712884\pi\) | |||||||
\(468\) | 1.07502 | + | 0.762095i | 0.0496930 | + | 0.0352279i | ||||
\(469\) | 3.66414 | + | 6.34647i | 0.169194 | + | 0.293053i | ||||
\(470\) | −0.731514 | + | 0.266249i | −0.0337422 | + | 0.0122812i | ||||
\(471\) | 26.2396 | + | 8.35726i | 1.20905 | + | 0.385082i | ||||
\(472\) | −0.324836 | + | 0.272570i | −0.0149518 | + | 0.0125461i | ||||
\(473\) | −35.0589 | + | 29.4179i | −1.61201 | + | 1.35264i | ||||
\(474\) | 4.10010 | + | 18.7522i | 0.188324 | + | 0.861318i | ||||
\(475\) | 28.3227 | − | 10.3086i | 1.29953 | − | 0.472992i | ||||
\(476\) | −1.75629 | − | 3.04198i | −0.0804994 | − | 0.139429i | ||||
\(477\) | 24.8227 | − | 2.02632i | 1.13655 | − | 0.0927787i | ||||
\(478\) | −5.98680 | + | 10.3694i | −0.273830 | + | 0.474287i | ||||
\(479\) | 3.69301 | − | 20.9441i | 0.168738 | − | 0.956960i | −0.776389 | − | 0.630255i | \(-0.782951\pi\) |
0.945126 | − | 0.326705i | \(-0.105938\pi\) | |||||||
\(480\) | 1.33941 | + | 1.03397i | 0.0611356 | + | 0.0471940i | ||||
\(481\) | −3.39227 | − | 1.23468i | −0.154674 | − | 0.0562967i | ||||
\(482\) | −1.43903 | − | 8.16112i | −0.0655458 | − | 0.371729i | ||||
\(483\) | 8.04199 | − | 0.327696i | 0.365923 | − | 0.0149107i | ||||
\(484\) | 3.37820 | + | 2.83465i | 0.153555 | + | 0.128848i | ||||
\(485\) | 14.2756 | 0.648222 | ||||||||
\(486\) | 13.7210 | + | 7.39820i | 0.622398 | + | 0.335589i | ||||
\(487\) | −1.17650 | −0.0533124 | −0.0266562 | − | 0.999645i | \(-0.508486\pi\) | ||||
−0.0266562 | + | 0.999645i | \(0.508486\pi\) | |||||||
\(488\) | 1.21619 | + | 1.02050i | 0.0550542 | + | 0.0461960i | ||||
\(489\) | 18.3639 | − | 0.748295i | 0.830446 | − | 0.0338391i | ||||
\(490\) | 0.169640 | + | 0.962079i | 0.00766357 | + | 0.0434623i | ||||
\(491\) | 22.9122 | + | 8.33934i | 1.03401 | + | 0.376349i | 0.802607 | − | 0.596508i | \(-0.203446\pi\) |
0.231404 | + | 0.972858i | \(0.425668\pi\) | |||||||
\(492\) | 1.48099 | + | 1.14326i | 0.0667684 | + | 0.0515423i | ||||
\(493\) | 2.70960 | − | 15.3669i | 0.122034 | − | 0.692090i | ||||
\(494\) | −1.63623 | + | 2.83404i | −0.0736176 | + | 0.127509i | ||||
\(495\) | −11.4667 | + | 0.936046i | −0.515390 | + | 0.0420722i | ||||
\(496\) | 2.55954 | + | 4.43326i | 0.114927 | + | 0.199059i | ||||
\(497\) | 10.6325 | − | 3.86990i | 0.476932 | − | 0.173589i | ||||
\(498\) | 2.97215 | + | 13.5934i | 0.133185 | + | 0.609136i | ||||
\(499\) | −16.4854 | + | 13.8329i | −0.737989 | + | 0.619246i | −0.932297 | − | 0.361695i | \(-0.882198\pi\) |
0.194308 | + | 0.980941i | \(0.437754\pi\) | |||||||
\(500\) | −6.76942 | + | 5.68022i | −0.302738 | + | 0.254027i | ||||
\(501\) | −21.0670 | − | 6.70979i | −0.941202 | − | 0.299771i | ||||
\(502\) | 19.2869 | − | 7.01987i | 0.860818 | − | 0.313312i | ||||
\(503\) | −20.9491 | − | 36.2850i | −0.934075 | − | 1.61787i | −0.776275 | − | 0.630395i | \(-0.782893\pi\) |
−0.157801 | − | 0.987471i | \(-0.550440\pi\) | |||||||
\(504\) | −2.44741 | − | 1.73499i | −0.109016 | − | 0.0772826i | ||||
\(505\) | 1.51163 | − | 2.61822i | 0.0672667 | − | 0.116509i | ||||
\(506\) | 3.16762 | − | 17.9645i | 0.140818 | − | 0.798619i | ||||
\(507\) | −2.95933 | + | 21.9842i | −0.131428 | + | 0.976352i | ||||
\(508\) | −3.77215 | − | 1.37295i | −0.167362 | − | 0.0609148i | ||||
\(509\) | −4.86503 | − | 27.5910i | −0.215639 | − | 1.22295i | −0.879795 | − | 0.475354i | \(-0.842320\pi\) |
0.664156 | − | 0.747594i | \(-0.268791\pi\) | |||||||
\(510\) | 2.75974 | − | 5.26399i | 0.122203 | − | 0.233093i | ||||
\(511\) | −11.0097 | − | 9.23821i | −0.487039 | − | 0.408674i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | −15.1258 | + | 35.6346i | −0.667822 | + | 1.57331i | ||||
\(514\) | −9.40436 | −0.414809 | ||||||||
\(515\) | −6.49514 | − | 5.45007i | −0.286210 | − | 0.240159i | ||||
\(516\) | −10.8002 | − | 17.0622i | −0.475453 | − | 0.751123i | ||||
\(517\) | −0.543186 | − | 3.08056i | −0.0238893 | − | 0.135483i | ||||
\(518\) | 7.72286 | + | 2.81089i | 0.339323 | + | 0.123503i | ||||
\(519\) | −25.4227 | + | 10.4439i | −1.11593 | + | 0.458438i | ||||
\(520\) | 0.0745146 | − | 0.422593i | 0.00326768 | − | 0.0185319i | ||||
\(521\) | 11.5495 | − | 20.0044i | 0.505994 | − | 0.876407i | −0.493982 | − | 0.869472i | \(-0.664459\pi\) |
0.999976 | − | 0.00693463i | \(-0.00220738\pi\) | |||||||
\(522\) | −3.37434 | − | 12.8927i | −0.147691 | − | 0.564296i | ||||
\(523\) | 15.2873 | + | 26.4784i | 0.668469 | + | 1.15782i | 0.978332 | + | 0.207041i | \(0.0663833\pi\) |
−0.309864 | + | 0.950781i | \(0.600283\pi\) | |||||||
\(524\) | 14.5129 | − | 5.28228i | 0.634000 | − | 0.230757i | ||||
\(525\) | 5.18002 | − | 4.71897i | 0.226074 | − | 0.205953i | ||||
\(526\) | −10.8969 | + | 9.14360i | −0.475128 | + | 0.398680i | ||||
\(527\) | 13.7744 | − | 11.5581i | 0.600022 | − | 0.503478i | ||||
\(528\) | −5.02627 | + | 4.57891i | −0.218740 | + | 0.199272i | ||||
\(529\) | 1.32152 | − | 0.480995i | 0.0574575 | − | 0.0209128i | ||||
\(530\) | −4.05507 | − | 7.02359i | −0.176141 | − | 0.305085i | ||||
\(531\) | 1.22685 | + | 0.336392i | 0.0532407 | + | 0.0145982i | ||||
\(532\) | 3.72506 | − | 6.45199i | 0.161502 | − | 0.279729i | ||||
\(533\) | 0.0823911 | − | 0.467263i | 0.00356875 | − | 0.0202394i | ||||
\(534\) | 3.28553 | − | 1.34973i | 0.142179 | − | 0.0584087i | ||||
\(535\) | −7.53563 | − | 2.74275i | −0.325794 | − | 0.118579i | ||||
\(536\) | 1.27254 | + | 7.21694i | 0.0549654 | + | 0.311724i | ||||
\(537\) | 24.1572 | + | 38.1636i | 1.04246 | + | 1.64688i | ||||
\(538\) | −19.0987 | − | 16.0257i | −0.823405 | − | 0.690919i | ||||
\(539\) | −3.92555 | −0.169085 | ||||||||
\(540\) | 0.265651 | − | 5.06927i | 0.0114318 | − | 0.218147i | ||||
\(541\) | −8.64945 | −0.371869 | −0.185934 | − | 0.982562i | \(-0.559531\pi\) | ||||
−0.185934 | + | 0.982562i | \(0.559531\pi\) | |||||||
\(542\) | 15.2075 | + | 12.7606i | 0.653220 | + | 0.548117i | ||||
\(543\) | −12.9976 | + | 24.7920i | −0.557782 | + | 1.06392i | ||||
\(544\) | −0.609953 | − | 3.45921i | −0.0261515 | − | 0.148313i | ||||
\(545\) | 9.20057 | + | 3.34874i | 0.394109 | + | 0.143444i | ||||
\(546\) | −0.101498 | + | 0.754003i | −0.00434370 | + | 0.0322684i | ||||
\(547\) | −2.56872 | + | 14.5680i | −0.109831 | + | 0.622881i | 0.879350 | + | 0.476177i | \(0.157978\pi\) |
−0.989180 | + | 0.146704i | \(0.953133\pi\) | |||||||
\(548\) | −0.0154884 | + | 0.0268268i | −0.000661633 | + | 0.00114598i | ||||
\(549\) | 0.442696 | − | 4.74224i | 0.0188938 | − | 0.202394i | ||||
\(550\) | −7.94065 | − | 13.7536i | −0.338591 | − | 0.586456i | ||||
\(551\) | 31.0998 | − | 11.3194i | 1.32490 | − | 0.482222i | ||||
\(552\) | 7.66908 | + | 2.44259i | 0.326418 | + | 0.103964i | ||||
\(553\) | −8.48959 | + | 7.12361i | −0.361014 | + | 0.302927i | ||||
\(554\) | 1.68655 | − | 1.41519i | 0.0716548 | − | 0.0601255i | ||||
\(555\) | 2.97039 | + | 13.5854i | 0.126086 | + | 0.576667i | ||||
\(556\) | −5.01214 | + | 1.82427i | −0.212562 | + | 0.0773662i | ||||
\(557\) | 12.2527 | + | 21.2223i | 0.519163 | + | 0.899217i | 0.999752 | + | 0.0222707i | \(0.00708955\pi\) |
−0.480589 | + | 0.876946i | \(0.659577\pi\) | |||||||
\(558\) | 6.57109 | − | 13.8804i | 0.278176 | − | 0.587605i | ||||
\(559\) | −2.56051 | + | 4.43493i | −0.108298 | + | 0.187578i | ||||
\(560\) | −0.169640 | + | 0.962079i | −0.00716862 | + | 0.0406552i | ||||
\(561\) | 18.9052 | + | 14.5940i | 0.798179 | + | 0.616160i | ||||
\(562\) | −10.4277 | − | 3.79535i | −0.439864 | − | 0.160097i | ||||
\(563\) | −4.86427 | − | 27.5866i | −0.205004 | − | 1.16264i | −0.897433 | − | 0.441151i | \(-0.854570\pi\) |
0.692429 | − | 0.721486i | \(-0.256541\pi\) | |||||||
\(564\) | 1.37904 | − | 0.0561934i | 0.0580682 | − | 0.00236617i | ||||
\(565\) | 7.78205 | + | 6.52992i | 0.327393 | + | 0.274716i | ||||
\(566\) | 12.9847 | 0.545789 | ||||||||
\(567\) | −0.104674 | + | 8.99939i | −0.00439589 | + | 0.377939i | ||||
\(568\) | 11.3148 | 0.474760 | ||||||||
\(569\) | −16.6543 | − | 13.9746i | −0.698183 | − | 0.585845i | 0.223073 | − | 0.974802i | \(-0.428391\pi\) |
−0.921256 | + | 0.388957i | \(0.872836\pi\) | |||||||
\(570\) | 12.5957 | − | 0.513251i | 0.527576 | − | 0.0214977i | ||||
\(571\) | 3.17437 | + | 18.0028i | 0.132843 | + | 0.753392i | 0.976337 | + | 0.216253i | \(0.0693838\pi\) |
−0.843494 | + | 0.537139i | \(0.819505\pi\) | |||||||
\(572\) | 1.62031 | + | 0.589745i | 0.0677486 | + | 0.0246585i | ||||
\(573\) | 27.4298 | + | 21.1746i | 1.14590 | + | 0.884582i | ||||
\(574\) | −0.187572 | + | 1.06377i | −0.00782911 | + | 0.0444011i | ||||
\(575\) | −9.39981 | + | 16.2809i | −0.391999 | + | 0.678962i | ||||
\(576\) | −1.70641 | − | 2.46742i | −0.0711004 | − | 0.102809i | ||||
\(577\) | 9.06356 | + | 15.6985i | 0.377321 | + | 0.653539i | 0.990671 | − | 0.136272i | \(-0.0435120\pi\) |
−0.613351 | + | 0.789811i | \(0.710179\pi\) | |||||||
\(578\) | 4.38066 | − | 1.59443i | 0.182211 | − | 0.0663195i | ||||
\(579\) | −5.20659 | − | 23.8128i | −0.216378 | − | 0.989628i | ||||
\(580\) | −3.32446 | + | 2.78956i | −0.138041 | + | 0.115830i | ||||
\(581\) | −6.15407 | + | 5.16388i | −0.255314 | + | 0.214234i | ||||
\(582\) | −24.1166 | − | 7.68109i | −0.999663 | − | 0.318391i | ||||
\(583\) | 30.6236 | − | 11.1461i | 1.26830 | − | 0.461623i | ||||
\(584\) | −7.18605 | − | 12.4466i | −0.297361 | − | 0.515044i | ||||
\(585\) | −1.16987 | + | 0.537258i | −0.0483681 | + | 0.0222129i | ||||
\(586\) | −4.15706 | + | 7.20025i | −0.171727 | + | 0.297439i | ||||
\(587\) | −2.95599 | + | 16.7643i | −0.122007 | + | 0.691936i | 0.861034 | + | 0.508548i | \(0.169818\pi\) |
−0.983041 | + | 0.183388i | \(0.941294\pi\) | |||||||
\(588\) | 0.231070 | − | 1.71657i | 0.00952917 | − | 0.0707901i | ||||
\(589\) | 35.8378 | + | 13.0439i | 1.47667 | + | 0.537464i | ||||
\(590\) | −0.0719349 | − | 0.407963i | −0.00296151 | − | 0.0167956i | ||||
\(591\) | −16.0696 | + | 30.6515i | −0.661014 | + | 1.26083i | ||||
\(592\) | 6.29573 | + | 5.28274i | 0.258753 | + | 0.217119i | ||||
\(593\) | 3.04371 | 0.124990 | 0.0624952 | − | 0.998045i | \(-0.480094\pi\) | ||||
0.0624952 | + | 0.998045i | \(0.480094\pi\) | |||||||
\(594\) | 19.8750 | + | 4.58842i | 0.815480 | + | 0.188265i | ||||
\(595\) | 3.43151 | 0.140678 | ||||||||
\(596\) | 11.9762 | + | 10.0492i | 0.490563 | + | 0.411632i | ||||
\(597\) | −10.8177 | − | 17.0899i | −0.442740 | − | 0.699443i | ||||
\(598\) | −0.354442 | − | 2.01014i | −0.0144942 | − | 0.0822008i | ||||
\(599\) | 13.5197 | + | 4.92076i | 0.552399 | + | 0.201057i | 0.603112 | − | 0.797656i | \(-0.293927\pi\) |
−0.0507130 | + | 0.998713i | \(0.516149\pi\) | |||||||
\(600\) | 6.48161 | − | 2.66272i | 0.264611 | − | 0.108705i | ||||
\(601\) | 1.24466 | − | 7.05880i | 0.0507706 | − | 0.287935i | −0.948842 | − | 0.315750i | \(-0.897744\pi\) |
0.999613 | + | 0.0278153i | \(0.00885504\pi\) | |||||||
\(602\) | 5.82927 | − | 10.0966i | 0.237583 | − | 0.411506i | ||||
\(603\) | 15.6358 | − | 15.4550i | 0.636737 | − | 0.629374i | ||||
\(604\) | 6.31742 | + | 10.9421i | 0.257052 | + | 0.445228i | ||||
\(605\) | −4.04834 | + | 1.47347i | −0.164588 | + | 0.0599052i | ||||
\(606\) | −3.96244 | + | 3.60976i | −0.160963 | + | 0.146637i | ||||
\(607\) | −34.9196 | + | 29.3010i | −1.41734 | + | 1.18929i | −0.464598 | + | 0.885522i | \(0.653801\pi\) |
−0.952745 | + | 0.303770i | \(0.901754\pi\) | |||||||
\(608\) | 5.70712 | − | 4.78884i | 0.231454 | − | 0.194213i | ||||
\(609\) | 5.68792 | − | 5.18168i | 0.230486 | − | 0.209972i | ||||
\(610\) | −1.45744 | + | 0.530466i | −0.0590101 | + | 0.0214779i | ||||
\(611\) | −0.175009 | − | 0.303124i | −0.00708010 | − | 0.0122631i | ||||
\(612\) | −7.49451 | + | 7.40784i | −0.302948 | + | 0.299444i | ||||
\(613\) | 2.02373 | − | 3.50521i | 0.0817379 | − | 0.141574i | −0.822259 | − | 0.569114i | \(-0.807286\pi\) |
0.903996 | + | 0.427540i | \(0.140620\pi\) | |||||||
\(614\) | −1.02477 | + | 5.81175i | −0.0413563 | + | 0.234543i | ||||
\(615\) | −1.69065 | + | 0.694538i | −0.0681736 | + | 0.0280065i | ||||
\(616\) | −3.68881 | − | 1.34262i | −0.148626 | − | 0.0540956i | ||||
\(617\) | 7.75944 | + | 44.0060i | 0.312383 | + | 1.77161i | 0.586531 | + | 0.809926i | \(0.300493\pi\) |
−0.274148 | + | 0.961687i | \(0.588396\pi\) | |||||||
\(618\) | 8.04015 | + | 12.7019i | 0.323422 | + | 0.510944i | ||||
\(619\) | 31.0152 | + | 26.0248i | 1.24661 | + | 1.04603i | 0.996978 | + | 0.0776838i | \(0.0247525\pi\) |
0.249627 | + | 0.968342i | \(0.419692\pi\) | |||||||
\(620\) | −5.00094 | −0.200842 | ||||||||
\(621\) | −7.05969 | − | 23.0909i | −0.283296 | − | 0.926606i | ||||
\(622\) | 23.7882 | 0.953821 | ||||||||
\(623\) | 1.57095 | + | 1.31819i | 0.0629389 | + | 0.0528120i | ||||
\(624\) | −0.353261 | + | 0.673817i | −0.0141418 | + | 0.0269743i | ||||
\(625\) | 2.01349 | + | 11.4191i | 0.0805396 | + | 0.456763i | ||||
\(626\) | 23.5361 | + | 8.56646i | 0.940693 | + | 0.342384i | ||||
\(627\) | −6.75783 | + | 50.2024i | −0.269882 | + | 2.00489i | ||||
\(628\) | −2.76087 | + | 15.6577i | −0.110171 | + | 0.624810i | ||||
\(629\) | 14.4340 | − | 25.0005i | 0.575523 | − | 0.996835i | ||||
\(630\) | 2.66333 | − | 1.22313i | 0.106110 | − | 0.0487305i | ||||
\(631\) | −16.7712 | − | 29.0486i | −0.667652 | − | 1.15641i | −0.978559 | − | 0.205966i | \(-0.933966\pi\) |
0.310907 | − | 0.950440i | \(-0.399367\pi\) | |||||||
\(632\) | −10.4140 | + | 3.79039i | −0.414248 | + | 0.150774i | ||||
\(633\) | 19.4400 | + | 6.19160i | 0.772669 | + | 0.246094i | ||||
\(634\) | −19.9518 | + | 16.7416i | −0.792388 | + | 0.664892i | ||||
\(635\) | 3.00411 | − | 2.52075i | 0.119214 | − | 0.100033i | ||||
\(636\) | 3.07136 | + | 14.0472i | 0.121788 | + | 0.557008i | ||||
\(637\) | −0.412760 | + | 0.150232i | −0.0163542 | + | 0.00595243i | ||||
\(638\) | −8.71924 | − | 15.1022i | −0.345198 | − | 0.597901i | ||||
\(639\) | −19.3078 | − | 27.9185i | −0.763803 | − | 1.10444i | ||||
\(640\) | −0.488460 | + | 0.846038i | −0.0193081 | + | 0.0334426i | ||||
\(641\) | 3.98082 | − | 22.5764i | 0.157233 | − | 0.891712i | −0.799483 | − | 0.600689i | \(-0.794893\pi\) |
0.956716 | − | 0.291024i | \(-0.0939958\pi\) | |||||||
\(642\) | 11.2546 | + | 8.68807i | 0.444184 | + | 0.342891i | ||||
\(643\) | −30.2255 | − | 11.0012i | −1.19198 | − | 0.433844i | −0.331559 | − | 0.943434i | \(-0.607575\pi\) |
−0.860417 | + | 0.509590i | \(0.829797\pi\) | |||||||
\(644\) | 0.806925 | + | 4.57630i | 0.0317973 | + | 0.180332i | ||||
\(645\) | 19.7108 | − | 0.803176i | 0.776111 | − | 0.0316250i | ||||
\(646\) | −20.0467 | − | 16.8212i | −0.788727 | − | 0.661820i | ||||
\(647\) | 29.3439 | 1.15363 | 0.576813 | − | 0.816876i | \(-0.304296\pi\) | ||||
0.576813 | + | 0.816876i | \(0.304296\pi\) | |||||||
\(648\) | −3.17633 | + | 8.42086i | −0.124778 | + | 0.330803i | ||||
\(649\) | 1.66460 | 0.0653414 | ||||||||
\(650\) | −1.36129 | − | 1.14226i | −0.0533943 | − | 0.0448032i | ||||
\(651\) | 8.85916 | − | 0.360994i | 0.347218 | − | 0.0141485i | ||||
\(652\) | 1.84262 | + | 10.4500i | 0.0721625 | + | 0.409254i | ||||
\(653\) | 14.1846 | + | 5.16277i | 0.555086 | + | 0.202035i | 0.604305 | − | 0.796753i | \(-0.293451\pi\) |
−0.0492190 | + | 0.998788i | \(0.515673\pi\) | |||||||
\(654\) | −13.7412 | − | 10.6076i | −0.537324 | − | 0.414791i | ||||
\(655\) | −2.61998 | + | 14.8587i | −0.102371 | + | 0.580576i | ||||
\(656\) | −0.540092 | + | 0.935468i | −0.0210871 | + | 0.0365239i | ||||
\(657\) | −18.4487 | + | 38.9700i | −0.719751 | + | 1.52037i | ||||
\(658\) | 0.398426 | + | 0.690094i | 0.0155323 | + | 0.0269027i | ||||
\(659\) | 36.3930 | − | 13.2460i | 1.41767 | − | 0.515989i | 0.484298 | − | 0.874903i | \(-0.339075\pi\) |
0.933371 | + | 0.358914i | \(0.116853\pi\) | |||||||
\(660\) | −1.41880 | − | 6.48903i | −0.0552267 | − | 0.252585i | ||||
\(661\) | 15.2199 | − | 12.7710i | 0.591987 | − | 0.496736i | −0.296872 | − | 0.954917i | \(-0.595943\pi\) |
0.888859 | + | 0.458181i | \(0.151499\pi\) | |||||||
\(662\) | 14.0179 | − | 11.7624i | 0.544821 | − | 0.457159i | ||||
\(663\) | 2.54635 | + | 0.811008i | 0.0988920 | + | 0.0314969i | ||||
\(664\) | −7.54909 | + | 2.74764i | −0.292961 | + | 0.106629i | ||||
\(665\) | 3.63908 | + | 6.30308i | 0.141118 | + | 0.244423i | ||||
\(666\) | 2.29166 | − | 24.5487i | 0.0888002 | − | 0.951244i | ||||
\(667\) | −10.3215 | + | 17.8773i | −0.399649 | + | 0.692212i | ||||
\(668\) | 2.21662 | − | 12.5711i | 0.0857637 | − | 0.486390i | ||||
\(669\) | 0.359942 | − | 2.67393i | 0.0139162 | − | 0.103380i | ||||
\(670\) | −6.72739 | − | 2.44857i | −0.259902 | − | 0.0945965i | ||||
\(671\) | −1.08222 | − | 6.13760i | −0.0417788 | − | 0.236939i | ||||
\(672\) | 0.804236 | − | 1.53402i | 0.0310241 | − | 0.0591759i | ||||
\(673\) | −28.4082 | − | 23.8373i | −1.09506 | − | 0.918860i | −0.0979725 | − | 0.995189i | \(-0.531236\pi\) |
−0.997083 | + | 0.0763287i | \(0.975680\pi\) | |||||||
\(674\) | 21.2393 | 0.818107 | ||||||||
\(675\) | −17.6303 | − | 11.4492i | −0.678591 | − | 0.440679i | ||||
\(676\) | −12.8071 | −0.492579 | ||||||||
\(677\) | −12.9018 | − | 10.8259i | −0.495856 | − | 0.416073i | 0.360263 | − | 0.932851i | \(-0.382687\pi\) |
−0.856119 | + | 0.516778i | \(0.827131\pi\) | |||||||
\(678\) | −9.63318 | − | 15.2185i | −0.369960 | − | 0.584464i | ||||
\(679\) | −2.53750 | − | 14.3909i | −0.0973802 | − | 0.552271i | ||||
\(680\) | 3.22456 | + | 1.17364i | 0.123656 | + | 0.0450072i | ||||
\(681\) | 26.9556 | − | 11.0737i | 1.03294 | − | 0.424344i | ||||
\(682\) | 3.48950 | − | 19.7899i | 0.133620 | − | 0.757795i | ||||
\(683\) | −14.9176 | + | 25.8380i | −0.570806 | + | 0.988665i | 0.425677 | + | 0.904875i | \(0.360036\pi\) |
−0.996483 | + | 0.0837901i | \(0.973297\pi\) | |||||||
\(684\) | −21.5548 | − | 5.91014i | −0.824167 | − | 0.225980i | ||||
\(685\) | −0.0151310 | − | 0.0262076i | −0.000578124 | − | 0.00100134i | ||||
\(686\) | 0.939693 | − | 0.342020i | 0.0358776 | − | 0.0130584i | ||||
\(687\) | −7.96131 | + | 7.25272i | −0.303743 | + | 0.276709i | ||||
\(688\) | 8.93096 | − | 7.49397i | 0.340490 | − | 0.285705i | ||||
\(689\) | 2.79342 | − | 2.34395i | 0.106421 | − | 0.0892976i | ||||
\(690\) | −5.81256 | + | 5.29522i | −0.221280 | + | 0.201586i | ||||
\(691\) | −48.2986 | + | 17.5793i | −1.83737 | + | 0.668746i | −0.846763 | + | 0.531970i | \(0.821452\pi\) |
−0.990602 | + | 0.136776i | \(0.956326\pi\) | |||||||
\(692\) | −7.93406 | − | 13.7422i | −0.301608 | − | 0.522400i | ||||
\(693\) | 2.98182 | + | 11.3929i | 0.113270 | + | 0.432780i | ||||
\(694\) | 7.98903 | − | 13.8374i | 0.303259 | − | 0.525261i | ||||
\(695\) | 0.904829 | − | 5.13154i | 0.0343221 | − | 0.194650i | ||||
\(696\) | 7.11714 | − | 2.92380i | 0.269774 | − | 0.110826i | ||||
\(697\) | 3.56541 | + | 1.29770i | 0.135050 | + | 0.0491540i | ||||
\(698\) | −0.155950 | − | 0.884434i | −0.00590278 | − | 0.0334763i | ||||
\(699\) | −7.80954 | − | 12.3375i | −0.295384 | − | 0.466648i | ||||
\(700\) | 3.09913 | + | 2.60048i | 0.117136 | + | 0.0982889i | ||||
\(701\) | −29.6379 | −1.11941 | −0.559703 | − | 0.828693i | \(-0.689085\pi\) | ||||
−0.559703 | + | 0.828693i | \(0.689085\pi\) | |||||||
\(702\) | 2.26540 | − | 0.278164i | 0.0855019 | − | 0.0104986i | ||||
\(703\) | 61.2287 | 2.30928 | ||||||||
\(704\) | −3.00714 | − | 2.52329i | −0.113336 | − | 0.0951002i | ||||
\(705\) | −0.626066 | + | 1.19417i | −0.0235790 | + | 0.0449751i | ||||
\(706\) | 1.09542 | + | 6.21243i | 0.0412266 | + | 0.233808i | ||||
\(707\) | −2.90806 | − | 1.05845i | −0.109369 | − | 0.0398070i | ||||
\(708\) | −0.0979838 | + | 0.727900i | −0.00368246 | + | 0.0273562i | ||||
\(709\) | 1.12889 | − | 6.40228i | 0.0423965 | − | 0.240443i | −0.956244 | − | 0.292571i | \(-0.905489\pi\) |
0.998640 | + | 0.0521281i | \(0.0166004\pi\) | |||||||
\(710\) | −5.52685 | + | 9.57278i | −0.207419 | + | 0.359260i | ||||
\(711\) | 27.1231 | + | 19.2278i | 1.01720 | + | 0.721099i | ||||
\(712\) | 1.02537 | + | 1.77599i | 0.0384272 | + | 0.0665579i | ||||
\(713\) | −22.3533 | + | 8.13593i | −0.837137 | + | 0.304693i | ||||
\(714\) | −5.79703 | − | 1.84635i | −0.216949 | − | 0.0690978i | ||||
\(715\) | −1.29040 | + | 1.08278i | −0.0482583 | + | 0.0404936i | ||||
\(716\) | −19.9761 | + | 16.7620i | −0.746543 | + | 0.626424i | ||||
\(717\) | 4.42983 | + | 20.2603i | 0.165435 | + | 0.756633i | ||||
\(718\) | 4.11542 | − | 1.49789i | 0.153586 | − | 0.0559007i | ||||
\(719\) | −2.62324 | − | 4.54359i | −0.0978305 | − | 0.169447i | 0.812956 | − | 0.582325i | \(-0.197857\pi\) |
−0.910786 | + | 0.412878i | \(0.864524\pi\) | |||||||
\(720\) | 2.92104 | − | 0.238450i | 0.108861 | − | 0.00888650i | ||||
\(721\) | −4.33956 | + | 7.51634i | −0.161614 | + | 0.279923i | ||||
\(722\) | 6.33889 | − | 35.9496i | 0.235909 | − | 1.33791i | ||||
\(723\) | −11.3620 | − | 8.77095i | −0.422556 | − | 0.326195i | ||||
\(724\) | −15.1868 | − | 5.52755i | −0.564414 | − | 0.205430i | ||||
\(725\) | 3.12079 | + | 17.6989i | 0.115903 | + | 0.657320i | ||||
\(726\) | 7.63189 | − | 0.310985i | 0.283246 | − | 0.0115417i | ||||
\(727\) | −24.2418 | − | 20.3413i | −0.899079 | − | 0.754417i | 0.0709310 | − | 0.997481i | \(-0.477403\pi\) |
−0.970010 | + | 0.243064i | \(0.921847\pi\) | |||||||
\(728\) | −0.439250 | −0.0162797 | ||||||||
\(729\) | 26.1979 | − | 6.53208i | 0.970294 | − | 0.241929i | ||||
\(730\) | 14.0404 | 0.519658 | ||||||||
\(731\) | −31.3707 | − | 26.3231i | −1.16029 | − | 0.973596i | ||||
\(732\) | 2.74756 | − | 0.111958i | 0.101553 | − | 0.00413808i | ||||
\(733\) | 0.00356696 | + | 0.0202292i | 0.000131749 | + | 0.000747184i | 0.984874 | − | 0.173275i | \(-0.0554348\pi\) |
−0.984742 | + | 0.174022i | \(0.944324\pi\) | |||||||
\(734\) | −28.1200 | − | 10.2348i | −1.03793 | − | 0.377775i | ||||
\(735\) | 1.33941 | + | 1.03397i | 0.0494050 | + | 0.0381385i | ||||
\(736\) | −0.806925 | + | 4.57630i | −0.0297437 | + | 0.168685i | ||||
\(737\) | 14.3837 | − | 24.9134i | 0.529832 | − | 0.917696i | ||||
\(738\) | 3.22981 | − | 0.263655i | 0.118891 | − | 0.00970528i | ||||
\(739\) | −4.93681 | − | 8.55080i | −0.181603 | − | 0.314546i | 0.760823 | − | 0.648959i | \(-0.224795\pi\) |
−0.942427 | + | 0.334413i | \(0.891462\pi\) | |||||||
\(740\) | −7.54461 | + | 2.74601i | −0.277346 | + | 0.100946i | ||||
\(741\) | 1.21070 | + | 5.53726i | 0.0444762 | + | 0.203416i | ||||
\(742\) | −6.35951 | + | 5.33626i | −0.233465 | + | 0.195900i | ||||
\(743\) | 6.68722 | − | 5.61124i | 0.245330 | − | 0.205856i | −0.511828 | − | 0.859088i | \(-0.671032\pi\) |
0.757158 | + | 0.653231i | \(0.226587\pi\) | |||||||
\(744\) | 8.44836 | + | 2.69079i | 0.309732 | + | 0.0986491i | ||||
\(745\) | −14.3519 | + | 5.22366i | −0.525813 | + | 0.191380i | ||||
\(746\) | 6.56372 | + | 11.3687i | 0.240315 | + | 0.416238i | ||||
\(747\) | 19.6614 | + | 13.9382i | 0.719374 | + | 0.509971i | ||||
\(748\) | −6.89440 | + | 11.9414i | −0.252084 | + | 0.436622i | ||||
\(749\) | −1.42543 | + | 8.08400i | −0.0520840 | + | 0.295383i | ||||
\(750\) | −2.04193 | + | 15.1691i | −0.0745609 | + | 0.553896i | ||||
\(751\) | −36.1457 | − | 13.1560i | −1.31897 | − | 0.480068i | −0.415845 | − | 0.909435i | \(-0.636514\pi\) |
−0.903130 | + | 0.429368i | \(0.858736\pi\) | |||||||
\(752\) | 0.138372 | + | 0.784746i | 0.00504591 | + | 0.0286168i | ||||
\(753\) | 16.5067 | − | 31.4853i | 0.601538 | − | 1.14739i | ||||
\(754\) | −1.49477 | − | 1.25426i | −0.0544363 | − | 0.0456775i | ||||
\(755\) | −12.3432 | −0.449216 | ||||||||
\(756\) | −5.15742 | + | 0.633270i | −0.187574 | + | 0.0230318i | ||||
\(757\) | −9.13898 | −0.332162 | −0.166081 | − | 0.986112i | \(-0.553111\pi\) | ||||
−0.166081 | + | 0.986112i | \(0.553111\pi\) | |||||||
\(758\) | −1.43428 | − | 1.20350i | −0.0520953 | − | 0.0437132i | ||||
\(759\) | −16.8987 | − | 26.6966i | −0.613382 | − | 0.969024i | ||||
\(760\) | 1.26384 | + | 7.16760i | 0.0458443 | + | 0.259996i | ||||
\(761\) | −39.3933 | − | 14.3380i | −1.42801 | − | 0.519752i | −0.491647 | − | 0.870795i | \(-0.663605\pi\) |
−0.936359 | + | 0.351043i | \(0.885827\pi\) | |||||||
\(762\) | −6.43131 | + | 2.64205i | −0.232982 | + | 0.0957115i | ||||
\(763\) | 1.74036 | − | 9.87010i | 0.0630054 | − | 0.357322i | ||||
\(764\) | −10.0031 | + | 17.3260i | −0.361901 | + | 0.626831i | ||||
\(765\) | −2.60655 | − | 9.95907i | −0.0942399 | − | 0.360071i | ||||
\(766\) | −13.4001 | − | 23.2097i | −0.484165 | − | 0.838599i | ||||
\(767\) | 0.175028 | − | 0.0637051i | 0.00631991 | − | 0.00230026i | ||||
\(768\) | 1.28040 | − | 1.16644i | 0.0462024 | − | 0.0420902i | ||||
\(769\) | 2.90712 | − | 2.43936i | 0.104833 | − | 0.0879657i | −0.588864 | − | 0.808232i | \(-0.700425\pi\) |
0.693698 | + | 0.720266i | \(0.255980\pi\) | |||||||
\(770\) | 2.93774 | − | 2.46506i | 0.105869 | − | 0.0888345i | ||||
\(771\) | −12.0413 | + | 10.9696i | −0.433658 | + | 0.395061i | ||||
\(772\) | 13.2244 | − | 4.81330i | 0.475958 | − | 0.173234i | ||||
\(773\) | 8.12754 | + | 14.0773i | 0.292327 | + | 0.506326i | 0.974360 | − | 0.224996i | \(-0.0722370\pi\) |
−0.682032 | + | 0.731322i | \(0.738904\pi\) | |||||||
\(774\) | −33.7306 | − | 9.24867i | −1.21242 | − | 0.332437i | ||||
\(775\) | −10.3550 | + | 17.9353i | −0.371961 | + | 0.644255i | ||||
\(776\) | 2.53750 | − | 14.3909i | 0.0910908 | − | 0.516602i | ||||
\(777\) | 13.1671 | − | 5.40918i | 0.472366 | − | 0.194053i | ||||
\(778\) | 29.2650 | + | 10.6516i | 1.04920 | + | 0.381878i | ||||
\(779\) | 1.39743 | + | 7.92524i | 0.0500683 | + | 0.283951i | ||||
\(780\) | −0.397521 | − | 0.628005i | −0.0142335 | − | 0.0224862i | ||||
\(781\) | −34.0254 | − | 28.5507i | −1.21752 | − | 1.02162i | ||||
\(782\) | 16.3226 | 0.583695 | ||||||||
\(783\) | −19.3590 | − | 12.5718i | −0.691834 | − | 0.449279i | ||||
\(784\) | 1.00000 | 0.0357143 | ||||||||
\(785\) | −11.8984 | − | 9.98397i | −0.424673 | − | 0.356343i | ||||
\(786\) | 12.4209 | − | 23.6919i | 0.443039 | − | 0.845061i | ||||
\(787\) | 2.01705 | + | 11.4393i | 0.0719000 | + | 0.407765i | 0.999422 | + | 0.0339965i | \(0.0108235\pi\) |
−0.927522 | + | 0.373769i | \(0.878065\pi\) | |||||||
\(788\) | −18.7762 | − | 6.83397i | −0.668873 | − | 0.243450i | ||||
\(789\) | −3.28695 | + | 24.4180i | −0.117019 | + | 0.869305i | ||||
\(790\) | 1.88002 | − | 10.6621i | 0.0668880 | − | 0.379341i | ||||
\(791\) | 5.19937 | − | 9.00558i | 0.184868 | − | 0.320202i | ||||
\(792\) | −1.09461 | + | 11.7257i | −0.0388952 | + | 0.416653i | ||||
\(793\) | −0.348681 | − | 0.603933i | −0.0123820 | − | 0.0214463i | ||||
\(794\) | −28.4733 | + | 10.3635i | −1.01048 | + | 0.367785i | ||||
\(795\) | −13.3847 | − | 4.26301i | −0.474706 | − | 0.151193i | ||||
\(796\) | 8.94544 | − | 7.50611i | 0.317063 | − | 0.266047i | ||||
\(797\) | −21.1534 | + | 17.7498i | −0.749292 | + | 0.628731i | −0.935316 | − | 0.353815i | \(-0.884884\pi\) |
0.186024 | + | 0.982545i | \(0.440440\pi\) | |||||||
\(798\) | −2.75629 | − | 12.6062i | −0.0975716 | − | 0.446254i | ||||
\(799\) | 2.63020 | − | 0.957316i | 0.0930500 | − | 0.0338674i | ||||
\(800\) | 2.02281 | + | 3.50362i | 0.0715173 | + | 0.123872i | ||||
\(801\) | 2.63241 | − | 5.56057i | 0.0930117 | − | 0.196473i | ||||
\(802\) | −0.789273 | + | 1.36706i | −0.0278702 | + | 0.0482726i | ||||
\(803\) | −9.79695 | + | 55.5613i | −0.345727 | + | 1.96071i | ||||
\(804\) | 10.0475 | + | 7.75622i | 0.354347 | + | 0.273541i | ||||
\(805\) | −4.26587 | − | 1.55265i | −0.150352 | − | 0.0547238i | ||||
\(806\) | −0.390458 | − | 2.21440i | −0.0137533 | − | 0.0779989i | ||||
\(807\) | −43.1471 | + | 1.75816i | −1.51885 | + | 0.0618902i | ||||
\(808\) | −2.37067 | − | 1.98923i | −0.0833999 | − | 0.0699808i | ||||
\(809\) | −29.6836 | −1.04362 | −0.521810 | − | 0.853062i | \(-0.674743\pi\) | ||||
−0.521810 | + | 0.853062i | \(0.674743\pi\) | |||||||
\(810\) | −5.57285 | − | 6.80055i | −0.195810 | − | 0.238947i | ||||
\(811\) | 20.3436 | 0.714360 | 0.357180 | − | 0.934036i | \(-0.383738\pi\) | ||||
0.357180 | + | 0.934036i | \(0.383738\pi\) | |||||||
\(812\) | 3.40300 | + | 2.85546i | 0.119422 | + | 0.100207i | ||||
\(813\) | 34.3562 | − | 1.39995i | 1.20493 | − | 0.0490984i | ||||
\(814\) | −5.60225 | − | 31.7720i | −0.196359 | − | 1.11361i | ||||
\(815\) | −9.74115 | − | 3.54549i | −0.341218 | − | 0.124193i | ||||
\(816\) | −4.81594 | − | 3.71770i | −0.168592 | − | 0.130146i | ||||
\(817\) | 15.0826 | − | 85.5379i | 0.527675 | − | 2.99259i | ||||
\(818\) | −0.313340 | + | 0.542721i | −0.0109557 | + | 0.0189758i | ||||
\(819\) | 0.749541 | + | 1.08382i | 0.0261911 | + | 0.0378716i | ||||
\(820\) | −0.527627 | − | 0.913877i | −0.0184255 | − | 0.0319140i | ||||
\(821\) | 39.0662 | − | 14.2189i | 1.36342 | − | 0.496244i | 0.446310 | − | 0.894879i | \(-0.352738\pi\) |
0.917110 | + | 0.398635i | \(0.130516\pi\) | |||||||
\(822\) | 0.0114604 | + | 0.0524152i | 0.000399727 | + | 0.00182819i | ||||
\(823\) | −18.9944 | + | 15.9382i | −0.662102 | + | 0.555569i | −0.910716 | − | 0.413033i | \(-0.864469\pi\) |
0.248614 | + | 0.968603i | \(0.420025\pi\) | |||||||
\(824\) | −6.64859 | + | 5.57883i | −0.231615 | + | 0.194348i | ||||
\(825\) | −26.2099 | − | 8.34783i | −0.912513 | − | 0.290634i | ||||
\(826\) | −0.398471 | + | 0.145031i | −0.0138646 | + | 0.00504629i | ||||
\(827\) | −8.49652 | − | 14.7164i | −0.295453 | − | 0.511739i | 0.679637 | − | 0.733548i | \(-0.262137\pi\) |
−0.975090 | + | 0.221809i | \(0.928804\pi\) | |||||||
\(828\) | 12.6686 | − | 5.81802i | 0.440265 | − | 0.202190i | ||||
\(829\) | −26.9708 | + | 46.7148i | −0.936734 | + | 1.62247i | −0.165222 | + | 0.986256i | \(0.552834\pi\) |
−0.771512 | + | 0.636215i | \(0.780499\pi\) | |||||||
\(830\) | 1.36282 | − | 7.72893i | 0.0473041 | − | 0.268275i | ||||
\(831\) | 0.508733 | − | 3.77926i | 0.0176477 | − | 0.131101i | ||||
\(832\) | −0.412760 | − | 0.150232i | −0.0143099 | − | 0.00520837i | ||||
\(833\) | −0.609953 | − | 3.45921i | −0.0211336 | − | 0.119855i | ||||
\(834\) | −4.28964 | + | 8.18214i | −0.148538 | + | 0.283324i | ||||
\(835\) | 9.55289 | + | 8.01583i | 0.330591 | + | 0.277399i | ||||
\(836\) | −29.2458 | −1.01149 | ||||||||
\(837\) | −7.77705 | − | 25.4372i | −0.268814 | − | 0.879240i | ||||
\(838\) | 17.9340 | 0.619521 | ||||||||
\(839\) | 16.9339 | + | 14.2092i | 0.584623 | + | 0.490557i | 0.886462 | − | 0.462802i | \(-0.153156\pi\) |
−0.301839 | + | 0.953359i | \(0.597600\pi\) | |||||||
\(840\) | 0.904998 | + | 1.42972i | 0.0312254 | + | 0.0493300i | ||||
\(841\) | −1.60901 | − | 9.12514i | −0.0554831 | − | 0.314660i | ||||
\(842\) | −17.8710 | − | 6.50452i | −0.615876 | − | 0.224161i | ||||
\(843\) | −17.7786 | + | 7.30365i | −0.612328 | + | 0.251551i | ||||
\(844\) | −2.04544 | + | 11.6002i | −0.0704068 | + | 0.399297i | ||||
\(845\) | 6.25574 | − | 10.8353i | 0.215204 | − | 0.372744i | ||||
\(846\) | 1.70018 | − | 1.68052i | 0.0584534 | − | 0.0577775i | ||||
\(847\) | 2.20497 | + | 3.81911i | 0.0757635 | + | 0.131226i | ||||
\(848\) | −7.80109 | + | 2.83937i | −0.267891 | + | 0.0975042i | ||||
\(849\) | 16.6256 | − | 15.1459i | 0.570591 | − | 0.519806i | ||||
\(850\) | 10.8859 | − | 9.13438i | 0.373384 | − | 0.313307i | ||||
\(851\) | −29.2556 | + | 24.5484i | −1.00287 | + | 0.841508i | ||||
\(852\) | 14.4875 | − | 13.1981i | 0.496334 | − | 0.452158i | ||||
\(853\) | 35.5454 | − | 12.9375i | 1.21705 | − | 0.442970i | 0.347907 | − | 0.937529i | \(-0.386893\pi\) |
0.869144 | + | 0.494559i | \(0.164670\pi\) | |||||||
\(854\) | 0.793810 | + | 1.37492i | 0.0271636 | + | 0.0470488i | ||||
\(855\) | 15.5289 | − | 15.3493i | 0.531075 | − | 0.524934i | ||||
\(856\) | −4.10435 | + | 7.10895i | −0.140284 | + | 0.242979i | ||||
\(857\) | 6.78279 | − | 38.4671i | 0.231696 | − | 1.31401i | −0.617767 | − | 0.786361i | \(-0.711962\pi\) |
0.849462 | − | 0.527649i | \(-0.176927\pi\) | |||||||
\(858\) | 2.76254 | − | 1.13488i | 0.0943117 | − | 0.0387443i | ||||
\(859\) | −11.6276 | − | 4.23211i | −0.396730 | − | 0.144398i | 0.135948 | − | 0.990716i | \(-0.456592\pi\) |
−0.532678 | + | 0.846318i | \(0.678814\pi\) | |||||||
\(860\) | 1.97776 | + | 11.2164i | 0.0674411 | + | 0.382477i | ||||
\(861\) | 1.00066 | + | 1.58085i | 0.0341024 | + | 0.0538751i | ||||
\(862\) | −24.8371 | − | 20.8408i | −0.845955 | − | 0.709841i | ||||
\(863\) | −39.4935 | −1.34437 | −0.672187 | − | 0.740382i | \(-0.734645\pi\) | ||||
−0.672187 | + | 0.740382i | \(0.734645\pi\) | |||||||
\(864\) | −5.06298 | − | 1.16886i | −0.172246 | − | 0.0397655i | ||||
\(865\) | 15.5019 | 0.527080 | ||||||||
\(866\) | 26.3704 | + | 22.1274i | 0.896101 | + | 0.751918i | ||||
\(867\) | 3.74919 | − | 7.15128i | 0.127329 | − | 0.242870i | ||||
\(868\) | 0.888920 | + | 5.04131i | 0.0301719 | + | 0.171113i | ||||
\(869\) | 40.8808 | + | 14.8794i | 1.38678 | + | 0.504748i | ||||
\(870\) | −1.00279 | + | 7.44953i | −0.0339979 | + | 0.252563i | ||||
\(871\) | 0.558964 | − | 3.17004i | 0.0189398 | − | 0.107413i | ||||
\(872\) | 5.01118 | − | 8.67962i | 0.169700 | − | 0.293929i | ||||
\(873\) | −39.8383 | + | 18.2956i | −1.34832 | + | 0.619213i | ||||
\(874\) | 17.3100 | + | 29.9817i | 0.585518 | + | 1.01415i | ||||
\(875\) | −8.30393 | + | 3.02238i | −0.280724 | + | 0.102175i | ||||
\(876\) | −23.7192 | − | 7.55453i | −0.801398 | − | 0.255244i | ||||
\(877\) | −35.6904 | + | 29.9478i | −1.20518 | + | 1.01127i | −0.205712 | + | 0.978613i | \(0.565951\pi\) |
−0.999467 | + | 0.0326528i | \(0.989604\pi\) | |||||||
\(878\) | −7.48156 | + | 6.27777i | −0.252490 | + | 0.211865i | ||||
\(879\) | 3.07594 | + | 14.0681i | 0.103749 | + | 0.474507i | ||||
\(880\) | 3.60367 | − | 1.31163i | 0.121480 | − | 0.0442150i | ||||
\(881\) | 6.94703 | + | 12.0326i | 0.234051 | + | 0.405389i | 0.958997 | − | 0.283418i | \(-0.0914683\pi\) |
−0.724945 | + | 0.688807i | \(0.758135\pi\) | |||||||
\(882\) | −1.70641 | − | 2.46742i | −0.0574578 | − | 0.0830824i | ||||
\(883\) | 8.67681 | − | 15.0287i | 0.291998 | − | 0.505755i | −0.682284 | − | 0.731087i | \(-0.739013\pi\) |
0.974282 | + | 0.225332i | \(0.0723466\pi\) | |||||||
\(884\) | −0.267922 | + | 1.51946i | −0.00901119 | + | 0.0511050i | ||||
\(885\) | −0.567970 | − | 0.438448i | −0.0190921 | − | 0.0147383i | ||||
\(886\) | 3.74337 | + | 1.36248i | 0.125761 | + | 0.0457733i | ||||
\(887\) | 4.02319 | + | 22.8166i | 0.135085 | + | 0.766107i | 0.974800 | + | 0.223080i | \(0.0716110\pi\) |
−0.839715 | + | 0.543028i | \(0.817278\pi\) | |||||||
\(888\) | 14.2230 | − | 0.579562i | 0.477294 | − | 0.0194488i | ||||
\(889\) | −3.07508 | − | 2.58030i | −0.103135 | − | 0.0865405i | ||||
\(890\) | −2.00340 | −0.0671542 | ||||||||
\(891\) | 30.8000 | − | 17.3079i | 1.03184 | − | 0.579837i | ||||
\(892\) | 1.55772 | 0.0521562 | ||||||||
\(893\) | 4.54773 | + | 3.81600i | 0.152184 | + | 0.127698i | ||||
\(894\) | 27.0561 | − | 1.10248i | 0.904890 | − | 0.0368725i | ||||
\(895\) | −4.42371 | − | 25.0881i | −0.147868 | − | 0.838603i | ||||
\(896\) | 0.939693 | + | 0.342020i | 0.0313929 | + | 0.0114261i | ||||
\(897\) | −2.79853 | − | 2.16035i | −0.0934403 | − | 0.0721319i | ||||
\(898\) | 2.41143 | − | 13.6759i | 0.0804704 | − | 0.456370i | ||||
\(899\) | −11.3703 | + | 19.6939i | −0.379220 | + | 0.656828i | ||||
\(900\) | 5.19315 | − | 10.9697i | 0.173105 | − | 0.365658i | ||||
\(901\) | 14.5803 | + | 25.2538i | 0.485739 | + | 0.841325i | ||||
\(902\) | 3.98460 | − | 1.45027i | 0.132673 | − | 0.0482888i | ||||
\(903\) | −4.31326 | − | 19.7272i | −0.143536 | − | 0.656479i | ||||
\(904\) | 7.96590 | − | 6.68419i | 0.264942 | − | 0.222313i | ||||
\(905\) | 12.0947 | − | 10.1486i | 0.402041 | − | 0.337352i | ||||
\(906\) | 20.8521 | + | 6.64136i | 0.692765 | + | 0.220645i | ||||
\(907\) | 29.2638 | − | 10.6511i | 0.971688 | − | 0.353666i | 0.193085 | − | 0.981182i | \(-0.438151\pi\) |
0.778603 | + | 0.627517i | \(0.215929\pi\) | |||||||
\(908\) | 8.41245 | + | 14.5708i | 0.279177 | + | 0.483548i | ||||
\(909\) | −0.862930 | + | 9.24388i | −0.0286216 | + | 0.306600i | ||||
\(910\) | 0.214556 | − | 0.371622i | 0.00711247 | − | 0.0123192i | ||||
\(911\) | 9.46880 | − | 53.7002i | 0.313715 | − | 1.77917i | −0.265619 | − | 0.964078i | \(-0.585576\pi\) |
0.579334 | − | 0.815090i | \(-0.303313\pi\) | |||||||
\(912\) | 1.72150 | − | 12.7886i | 0.0570045 | − | 0.423474i | ||||
\(913\) | 29.6343 | + | 10.7860i | 0.980753 | + | 0.356965i | ||||
\(914\) | −4.55317 | − | 25.8223i | −0.150605 | − | 0.854126i | ||||
\(915\) | −1.24735 | + | 2.37922i | −0.0412362 | + | 0.0786547i | ||||
\(916\) | −4.76314 | − | 3.99675i | −0.157379 | − | 0.132056i | ||||
\(917\) | 15.4443 | 0.510017 | ||||||||
\(918\) | −0.955164 | + | 18.2269i | −0.0315251 | + | 0.601577i | ||||
\(919\) | 50.5944 | 1.66896 | 0.834478 | − | 0.551042i | \(-0.185769\pi\) | ||||
0.834478 | + | 0.551042i | \(0.185769\pi\) | |||||||
\(920\) | −3.47757 | − | 2.91803i | −0.114652 | − | 0.0962046i | ||||
\(921\) | 5.46694 | + | 8.63669i | 0.180142 | + | 0.284589i | ||||
\(922\) | −1.48670 | − | 8.43148i | −0.0489618 | − | 0.277676i | ||||
\(923\) | −4.67032 | − | 1.69986i | −0.153725 | − | 0.0559515i | ||||
\(924\) | −6.28923 | + | 2.58368i | −0.206900 | + | 0.0849970i | ||||
\(925\) | −5.77362 | + | 32.7438i | −0.189835 | + | 1.07661i | ||||
\(926\) | −4.80411 | + | 8.32096i | −0.157873 | + | 0.273444i | ||||
\(927\) | 25.1105 | + | 6.88511i | 0.824738 | + | 0.226137i | ||||
\(928\) | 2.22115 | + | 3.84715i | 0.0729129 | + | 0.126289i | ||||
\(929\) | −9.01425 | + | 3.28092i | −0.295748 | + | 0.107643i | −0.485633 | − | 0.874163i | \(-0.661411\pi\) |
0.189885 | + | 0.981806i | \(0.439189\pi\) | |||||||
\(930\) | −6.40319 | + | 5.83329i | −0.209969 | + | 0.191281i | ||||
\(931\) | 5.70712 | − | 4.78884i | 0.187043 | − | 0.156948i | ||||
\(932\) | 6.45789 | − | 5.41881i | 0.211535 | − | 0.177499i | ||||
\(933\) | 30.4584 | − | 27.7475i | 0.997164 | − | 0.908412i | ||||
\(934\) | −40.1865 | + | 14.6267i | −1.31494 | + | 0.478600i | ||||
\(935\) | −6.73528 | − | 11.6658i | −0.220267 | − | 0.381514i | ||||
\(936\) | 0.333651 | + | 1.27481i | 0.0109057 | + | 0.0416685i | ||||
\(937\) | −9.75555 | + | 16.8971i | −0.318700 | + | 0.552005i | −0.980217 | − | 0.197926i | \(-0.936580\pi\) |
0.661517 | + | 0.749930i | \(0.269913\pi\) | |||||||
\(938\) | −1.27254 | + | 7.21694i | −0.0415499 | + | 0.235641i | ||||
\(939\) | 40.1279 | − | 16.4850i | 1.30952 | − | 0.537967i | ||||
\(940\) | −0.731514 | − | 0.266249i | −0.0238594 | − | 0.00868410i | ||||
\(941\) | 9.03922 | + | 51.2640i | 0.294670 | + | 1.67116i | 0.668540 | + | 0.743676i | \(0.266919\pi\) |
−0.373870 | + | 0.927481i | \(0.621969\pi\) | |||||||
\(942\) | 14.7287 | + | 23.2685i | 0.479888 | + | 0.758128i | ||||
\(943\) | −3.84517 | − | 3.22648i | −0.125216 | − | 0.105069i | ||||
\(944\) | −0.424044 | −0.0138014 | ||||||||
\(945\) | 1.98342 | − | 4.67270i | 0.0645207 | − | 0.152003i | ||||
\(946\) | −45.7662 | −1.48799 | ||||||||
\(947\) | 26.2655 | + | 22.0394i | 0.853514 | + | 0.716184i | 0.960561 | − | 0.278070i | \(-0.0896949\pi\) |
−0.107046 | + | 0.994254i | \(0.534139\pi\) | |||||||
\(948\) | −8.91284 | + | 17.0005i | −0.289476 | + | 0.552152i | ||||
\(949\) | 1.09623 | + | 6.21704i | 0.0355852 | + | 0.201814i | ||||
\(950\) | 28.3227 | + | 10.3086i | 0.918910 | + | 0.334456i | ||||
\(951\) | −6.01828 | + | 44.7084i | −0.195156 | + | 1.44977i | ||||
\(952\) | 0.609953 | − | 3.45921i | 0.0197687 | − | 0.112114i | ||||
\(953\) | −19.8339 | + | 34.3533i | −0.642482 | + | 1.11281i | 0.342394 | + | 0.939556i | \(0.388762\pi\) |
−0.984877 | + | 0.173256i | \(0.944571\pi\) | |||||||
\(954\) | 20.3178 | + | 14.4035i | 0.657812 | + | 0.466329i | ||||
\(955\) | −9.77228 | − | 16.9261i | −0.316224 | − | 0.547715i | ||||
\(956\) | −11.2515 | + | 4.09521i | −0.363900 | + | 0.132449i | ||||
\(957\) | −28.7799 | − | 9.16634i | −0.930321 | − | 0.296306i | ||||
\(958\) | 16.2916 | − | 13.6703i | 0.526358 | − | 0.441667i | ||||
\(959\) | −0.0237297 | + | 0.0199115i | −0.000766271 | + | 0.000642977i | ||||
\(960\) | 0.361427 | + | 1.65302i | 0.0116650 | + | 0.0533511i | ||||
\(961\) | 4.50580 | − | 1.63998i | 0.145348 | − | 0.0529025i | ||||
\(962\) | −1.80499 | − | 3.12633i | −0.0581951 | − | 0.100797i | ||||
\(963\) | 24.5445 | − | 2.00361i | 0.790935 | − | 0.0645653i | ||||
\(964\) | 4.14351 | − | 7.17677i | 0.133453 | − | 0.231148i | ||||
\(965\) | −2.38737 | + | 13.5395i | −0.0768523 | + | 0.435851i | ||||
\(966\) | 6.37116 | + | 4.91826i | 0.204989 | + | 0.158242i | ||||
\(967\) | −8.36818 | − | 3.04577i | −0.269103 | − | 0.0979453i | 0.203945 | − | 0.978982i | \(-0.434624\pi\) |
−0.473047 | + | 0.881037i | \(0.656846\pi\) | |||||||
\(968\) | 0.765776 | + | 4.34293i | 0.0246130 | + | 0.139587i | ||||
\(969\) | −45.2886 | + | 1.84543i | −1.45488 | + | 0.0592836i | ||||
\(970\) | 10.9357 | + | 9.17618i | 0.351126 | + | 0.294629i | ||||
\(971\) | 51.2642 | 1.64515 | 0.822573 | − | 0.568659i | \(-0.192538\pi\) | ||||
0.822573 | + | 0.568659i | \(0.192538\pi\) | |||||||
\(972\) | 5.75544 | + | 14.4871i | 0.184606 | + | 0.464673i | ||||
\(973\) | −5.33380 | −0.170994 | ||||||||
\(974\) | −0.901254 | − | 0.756242i | −0.0288780 | − | 0.0242315i | ||||
\(975\) | −3.07538 | + | 0.125316i | −0.0984909 | + | 0.00401331i | ||||
\(976\) | 0.275687 | + | 1.56350i | 0.00882453 | + | 0.0500464i | ||||
\(977\) | 5.59087 | + | 2.03491i | 0.178868 | + | 0.0651026i | 0.429902 | − | 0.902876i | \(-0.358548\pi\) |
−0.251034 | + | 0.967978i | \(0.580770\pi\) | |||||||
\(978\) | 14.5486 | + | 11.2309i | 0.465212 | + | 0.359124i | ||||
\(979\) | 1.39791 | − | 7.92795i | 0.0446774 | − | 0.253378i | ||||
\(980\) | −0.488460 | + | 0.846038i | −0.0156033 | + | 0.0270257i | ||||
\(981\) | −29.9674 | + | 2.44629i | −0.956785 | + | 0.0781040i | ||||
\(982\) | 12.1913 | + | 21.1160i | 0.389040 | + | 0.673837i | ||||
\(983\) | 27.3903 | − | 9.96924i | 0.873614 | − | 0.317969i | 0.133984 | − | 0.990983i | \(-0.457223\pi\) |
0.739630 | + | 0.673014i | \(0.235001\pi\) | |||||||
\(984\) | 0.399632 | + | 1.82776i | 0.0127398 | + | 0.0582667i | ||||
\(985\) | 14.9532 | − | 12.5472i | 0.476449 | − | 0.399788i | ||||
\(986\) | 11.9533 | − | 10.0300i | 0.380671 | − | 0.319421i | ||||
\(987\) | 1.31510 | + | 0.418856i | 0.0418600 | + | 0.0133323i | ||||
\(988\) | −3.07511 | + | 1.11925i | −0.0978323 | + | 0.0356081i | ||||
\(989\) | 27.0880 | + | 46.9178i | 0.861349 | + | 1.49190i | ||||
\(990\) | −9.38568 | − | 6.65360i | −0.298297 | − | 0.211465i | ||||
\(991\) | 17.3065 | − | 29.9758i | 0.549760 | − | 0.952212i | −0.448531 | − | 0.893768i | \(-0.648052\pi\) |
0.998291 | − | 0.0584449i | \(-0.0186142\pi\) | |||||||
\(992\) | −0.888920 | + | 5.04131i | −0.0282232 | + | 0.160062i | ||||
\(993\) | 4.22837 | − | 31.4116i | 0.134183 | − | 0.996817i | ||||
\(994\) | 10.6325 | + | 3.86990i | 0.337242 | + | 0.122746i | ||||
\(995\) | 1.98097 | + | 11.2346i | 0.0628008 | + | 0.356161i | ||||
\(996\) | −6.46089 | + | 12.3236i | −0.204721 | + | 0.390489i | ||||
\(997\) | 3.89809 | + | 3.27089i | 0.123454 | + | 0.103590i | 0.702424 | − | 0.711758i | \(-0.252101\pi\) |
−0.578971 | + | 0.815348i | \(0.696545\pi\) | |||||||
\(998\) | −21.5202 | −0.681209 | ||||||||
\(999\) | −25.7004 | − | 34.1053i | −0.813123 | − | 1.07904i |
(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 | 378.2.u.d.43.5 | ✓ | 30 | |
27.22 | even | 9 | inner | 378.2.u.d.211.5 | yes | 30 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
378.2.u.d.43.5 | ✓ | 30 | 1.1 | even | 1 | trivial | |
378.2.u.d.211.5 | yes | 30 | 27.22 | even | 9 | inner |