Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (of order \(6\), degree \(2\), 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: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 11.16 | ||
Character | \(\chi\) | \(=\) | 168.11 |
Dual form | 168.2.v.a.107.16 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.248376 | − | 1.39223i | 0.175628 | − | 0.984457i | ||||
\(3\) | −1.64844 | − | 0.531631i | −0.951730 | − | 0.306937i | ||||
\(4\) | −1.87662 | − | 0.691593i | −0.938310 | − | 0.345796i | ||||
\(5\) | −0.646402 | − | 1.11960i | −0.289080 | − | 0.500700i | 0.684511 | − | 0.729003i | \(-0.260016\pi\) |
−0.973590 | + | 0.228302i | \(0.926683\pi\) | |||||||
\(6\) | −1.14959 | + | 2.16297i | −0.469317 | + | 0.883030i | ||||
\(7\) | −2.42742 | + | 1.05244i | −0.917478 | + | 0.397786i | ||||
\(8\) | −1.42896 | + | 2.44091i | −0.505215 | + | 0.862993i | ||||
\(9\) | 2.43474 | + | 1.75273i | 0.811579 | + | 0.584243i | ||||
\(10\) | −1.71929 | + | 0.621859i | −0.543688 | + | 0.196649i | ||||
\(11\) | −1.60004 | − | 0.923782i | −0.482430 | − | 0.278531i | 0.238999 | − | 0.971020i | \(-0.423181\pi\) |
−0.721428 | + | 0.692489i | \(0.756514\pi\) | |||||||
\(12\) | 2.72583 | + | 2.13772i | 0.786879 | + | 0.617107i | ||||
\(13\) | − | 2.25432i | − | 0.625235i | −0.949879 | − | 0.312617i | \(-0.898794\pi\) | ||
0.949879 | − | 0.312617i | \(-0.101206\pi\) | |||||||
\(14\) | 0.862334 | + | 3.64093i | 0.230469 | + | 0.973080i | ||||
\(15\) | 0.470342 | + | 2.18925i | 0.121442 | + | 0.565261i | ||||
\(16\) | 3.04340 | + | 2.59571i | 0.760850 | + | 0.648928i | ||||
\(17\) | −3.89580 | − | 2.24924i | −0.944871 | − | 0.545522i | −0.0533874 | − | 0.998574i | \(-0.517002\pi\) |
−0.891484 | + | 0.453052i | \(0.850335\pi\) | |||||||
\(18\) | 3.04493 | − | 2.95438i | 0.717698 | − | 0.696355i | ||||
\(19\) | −2.80851 | − | 4.86448i | −0.644317 | − | 1.11599i | −0.984459 | − | 0.175615i | \(-0.943809\pi\) |
0.340142 | − | 0.940374i | \(-0.389525\pi\) | |||||||
\(20\) | 0.438742 | + | 2.54811i | 0.0981056 | + | 0.569775i | ||||
\(21\) | 4.56098 | − | 0.444404i | 0.995287 | − | 0.0969769i | ||||
\(22\) | −1.68353 | + | 1.99818i | −0.358930 | + | 0.426013i | ||||
\(23\) | 0.519880 | + | 0.900459i | 0.108402 | + | 0.187759i | 0.915123 | − | 0.403174i | \(-0.132093\pi\) |
−0.806721 | + | 0.590933i | \(0.798760\pi\) | |||||||
\(24\) | 3.65323 | − | 3.26403i | 0.745713 | − | 0.666267i | ||||
\(25\) | 1.66433 | − | 2.88270i | 0.332866 | − | 0.576541i | ||||
\(26\) | −3.13853 | − | 0.559917i | −0.615517 | − | 0.109809i | ||||
\(27\) | −3.08172 | − | 4.18366i | −0.593078 | − | 0.805145i | ||||
\(28\) | 5.28320 | − | 0.296251i | 0.998432 | − | 0.0559862i | ||||
\(29\) | −1.32085 | −0.245277 | −0.122638 | − | 0.992451i | \(-0.539135\pi\) | ||||
−0.122638 | + | 0.992451i | \(0.539135\pi\) | |||||||
\(30\) | 3.16476 | − | 0.111070i | 0.577803 | − | 0.0202786i | ||||
\(31\) | 3.69700 | + | 2.13446i | 0.664000 | + | 0.383361i | 0.793800 | − | 0.608179i | \(-0.208100\pi\) |
−0.129799 | + | 0.991540i | \(0.541433\pi\) | |||||||
\(32\) | 4.36974 | − | 3.59240i | 0.772468 | − | 0.635053i | ||||
\(33\) | 2.14646 | + | 2.37343i | 0.373651 | + | 0.413162i | ||||
\(34\) | −4.09909 | + | 4.86521i | −0.702988 | + | 0.834376i | ||||
\(35\) | 2.74740 | + | 2.03744i | 0.464396 | + | 0.344390i | ||||
\(36\) | −3.35690 | − | 4.97305i | −0.559483 | − | 0.828842i | ||||
\(37\) | 8.18394 | − | 4.72500i | 1.34543 | − | 0.776786i | 0.357834 | − | 0.933785i | \(-0.383516\pi\) |
0.987599 | + | 0.157000i | \(0.0501822\pi\) | |||||||
\(38\) | −7.47005 | + | 2.70188i | −1.21180 | + | 0.438303i | ||||
\(39\) | −1.19846 | + | 3.71611i | −0.191908 | + | 0.595055i | ||||
\(40\) | 3.65653 | + | 0.0220581i | 0.578149 | + | 0.00348770i | ||||
\(41\) | 1.39634i | 0.218072i | 0.994038 | + | 0.109036i | \(0.0347764\pi\) | ||||
−0.994038 | + | 0.109036i | \(0.965224\pi\) | |||||||
\(42\) | 0.514122 | − | 6.46032i | 0.0793308 | − | 0.996848i | ||||
\(43\) | −6.02578 | −0.918922 | −0.459461 | − | 0.888198i | \(-0.651957\pi\) | ||||
−0.459461 | + | 0.888198i | \(0.651957\pi\) | |||||||
\(44\) | 2.36378 | + | 2.84016i | 0.356353 | + | 0.428171i | ||||
\(45\) | 0.388538 | − | 3.85890i | 0.0579198 | − | 0.575251i | ||||
\(46\) | 1.38277 | − | 0.500142i | 0.203879 | − | 0.0737418i | ||||
\(47\) | −5.90249 | − | 10.2234i | −0.860966 | − | 1.49124i | −0.870997 | − | 0.491288i | \(-0.836526\pi\) |
0.0100312 | − | 0.999950i | \(-0.496807\pi\) | |||||||
\(48\) | −3.63691 | − | 5.89685i | −0.524943 | − | 0.851138i | ||||
\(49\) | 4.78472 | − | 5.10944i | 0.683532 | − | 0.729921i | ||||
\(50\) | −3.60001 | − | 3.03313i | −0.509119 | − | 0.428949i | ||||
\(51\) | 5.22625 | + | 5.77888i | 0.731821 | + | 0.809206i | ||||
\(52\) | −1.55907 | + | 4.23049i | −0.216204 | + | 0.586664i | ||||
\(53\) | −6.02901 | + | 10.4425i | −0.828148 | + | 1.43439i | 0.0713414 | + | 0.997452i | \(0.477272\pi\) |
−0.899489 | + | 0.436943i | \(0.856061\pi\) | |||||||
\(54\) | −6.59005 | + | 3.25135i | −0.896792 | + | 0.442453i | ||||
\(55\) | 2.38854i | 0.322070i | ||||||||
\(56\) | 0.899769 | − | 7.42903i | 0.120237 | − | 0.992745i | ||||
\(57\) | 2.04356 | + | 9.51192i | 0.270676 | + | 1.25988i | ||||
\(58\) | −0.328068 | + | 1.83894i | −0.0430775 | + | 0.241464i | ||||
\(59\) | 9.57732 | + | 5.52947i | 1.24686 | + | 0.719875i | 0.970482 | − | 0.241174i | \(-0.0775324\pi\) |
0.276378 | + | 0.961049i | \(0.410866\pi\) | |||||||
\(60\) | 0.631413 | − | 4.43367i | 0.0815151 | − | 0.572384i | ||||
\(61\) | −7.65220 | + | 4.41800i | −0.979764 | + | 0.565667i | −0.902199 | − | 0.431320i | \(-0.858048\pi\) |
−0.0775652 | + | 0.996987i | \(0.524715\pi\) | |||||||
\(62\) | 3.88991 | − | 4.61693i | 0.494019 | − | 0.586351i | ||||
\(63\) | −7.75477 | − | 1.69218i | −0.977010 | − | 0.213195i | ||||
\(64\) | −3.91612 | − | 6.97596i | −0.489515 | − | 0.871995i | ||||
\(65\) | −2.52393 | + | 1.45719i | −0.313055 | + | 0.180743i | ||||
\(66\) | 3.83750 | − | 2.39887i | 0.472363 | − | 0.295280i | ||||
\(67\) | 3.05545 | − | 5.29219i | 0.373283 | − | 0.646544i | −0.616786 | − | 0.787131i | \(-0.711566\pi\) |
0.990068 | + | 0.140587i | \(0.0448989\pi\) | |||||||
\(68\) | 5.75538 | + | 6.91528i | 0.697942 | + | 0.838601i | ||||
\(69\) | −0.378281 | − | 1.76074i | −0.0455397 | − | 0.211968i | ||||
\(70\) | 3.51897 | − | 3.31897i | 0.420598 | − | 0.396693i | ||||
\(71\) | 14.0121 | 1.66293 | 0.831464 | − | 0.555578i | \(-0.187503\pi\) | ||||
0.831464 | + | 0.555578i | \(0.187503\pi\) | |||||||
\(72\) | −7.75741 | + | 3.43840i | −0.914220 | + | 0.405219i | ||||
\(73\) | −4.38664 | + | 7.59788i | −0.513417 | + | 0.889264i | 0.486462 | + | 0.873702i | \(0.338287\pi\) |
−0.999879 | + | 0.0155626i | \(0.995046\pi\) | |||||||
\(74\) | −4.54561 | − | 12.5675i | −0.528416 | − | 1.46095i | ||||
\(75\) | −4.27609 | + | 3.86717i | −0.493760 | + | 0.446542i | ||||
\(76\) | 1.90626 | + | 11.0711i | 0.218663 | + | 1.26995i | ||||
\(77\) | 4.85619 | + | 0.558456i | 0.553414 | + | 0.0636420i | ||||
\(78\) | 4.87602 | + | 2.59153i | 0.552101 | + | 0.293433i | ||||
\(79\) | −2.37061 | + | 1.36867i | −0.266714 | + | 0.153987i | −0.627393 | − | 0.778702i | \(-0.715878\pi\) |
0.360679 | + | 0.932690i | \(0.382545\pi\) | |||||||
\(80\) | 0.938904 | − | 5.08526i | 0.104973 | − | 0.568550i | ||||
\(81\) | 2.85588 | + | 8.53487i | 0.317320 | + | 0.948318i | ||||
\(82\) | 1.94403 | + | 0.346817i | 0.214682 | + | 0.0382996i | ||||
\(83\) | 4.74366i | 0.520685i | 0.965516 | + | 0.260342i | \(0.0838354\pi\) | ||||
−0.965516 | + | 0.260342i | \(0.916165\pi\) | |||||||
\(84\) | −8.86656 | − | 2.32036i | −0.967421 | − | 0.253172i | ||||
\(85\) | 5.81566i | 0.630797i | ||||||||
\(86\) | −1.49666 | + | 8.38928i | −0.161389 | + | 0.904639i | ||||
\(87\) | 2.17736 | + | 0.702207i | 0.233437 | + | 0.0752845i | ||||
\(88\) | 4.54127 | − | 2.58550i | 0.484101 | − | 0.275616i | ||||
\(89\) | 8.31219 | − | 4.79904i | 0.881090 | − | 0.508697i | 0.0100723 | − | 0.999949i | \(-0.496794\pi\) |
0.871018 | + | 0.491252i | \(0.163461\pi\) | |||||||
\(90\) | −5.27598 | − | 1.49939i | −0.556137 | − | 0.158050i | ||||
\(91\) | 2.37254 | + | 5.47217i | 0.248710 | + | 0.573639i | ||||
\(92\) | −0.352866 | − | 2.04936i | −0.0367888 | − | 0.213661i | ||||
\(93\) | −4.95955 | − | 5.48398i | −0.514281 | − | 0.568662i | ||||
\(94\) | −15.6994 | + | 5.67839i | −1.61927 | + | 0.585681i | ||||
\(95\) | −3.63085 | + | 6.28882i | −0.372517 | + | 0.645219i | ||||
\(96\) | −9.11311 | + | 3.59879i | −0.930103 | + | 0.367300i | ||||
\(97\) | −8.73466 | −0.886871 | −0.443435 | − | 0.896306i | \(-0.646240\pi\) | ||||
−0.443435 | + | 0.896306i | \(0.646240\pi\) | |||||||
\(98\) | −5.92512 | − | 7.93051i | −0.598528 | − | 0.801102i | ||||
\(99\) | −2.27653 | − | 5.05360i | −0.228800 | − | 0.507906i | ||||
\(100\) | −5.11697 | + | 4.25870i | −0.511697 | + | 0.425870i | ||||
\(101\) | 3.42033 | − | 5.92419i | 0.340336 | − | 0.589479i | −0.644159 | − | 0.764891i | \(-0.722793\pi\) |
0.984495 | + | 0.175413i | \(0.0561259\pi\) | |||||||
\(102\) | 9.34362 | − | 5.84082i | 0.925156 | − | 0.578327i | ||||
\(103\) | 3.88733 | − | 2.24435i | 0.383030 | − | 0.221143i | −0.296106 | − | 0.955155i | \(-0.595688\pi\) |
0.679136 | + | 0.734013i | \(0.262355\pi\) | |||||||
\(104\) | 5.50259 | + | 3.22134i | 0.539574 | + | 0.315878i | ||||
\(105\) | −3.44578 | − | 4.81921i | −0.336273 | − | 0.470306i | ||||
\(106\) | 13.0410 | + | 10.9875i | 1.26665 | + | 1.06720i | ||||
\(107\) | −6.27888 | + | 3.62511i | −0.607002 | + | 0.350453i | −0.771791 | − | 0.635876i | \(-0.780639\pi\) |
0.164789 | + | 0.986329i | \(0.447306\pi\) | |||||||
\(108\) | 2.88983 | + | 9.98243i | 0.278074 | + | 0.960560i | ||||
\(109\) | −10.6680 | − | 6.15916i | −1.02181 | − | 0.589941i | −0.107180 | − | 0.994240i | \(-0.534182\pi\) |
−0.914627 | + | 0.404299i | \(0.867516\pi\) | |||||||
\(110\) | 3.32540 | + | 0.593254i | 0.317064 | + | 0.0565646i | ||||
\(111\) | −16.0027 | + | 3.43806i | −1.51891 | + | 0.326326i | ||||
\(112\) | −10.1194 | − | 3.09788i | −0.956198 | − | 0.292722i | ||||
\(113\) | − | 7.27566i | − | 0.684437i | −0.939620 | − | 0.342218i | \(-0.888822\pi\) | ||
0.939620 | − | 0.342218i | \(-0.111178\pi\) | |||||||
\(114\) | 13.7504 | − | 0.482583i | 1.28784 | − | 0.0451980i | ||||
\(115\) | 0.672102 | − | 1.16412i | 0.0626739 | − | 0.108554i | ||||
\(116\) | 2.47874 | + | 0.913494i | 0.230145 | + | 0.0848158i | ||||
\(117\) | 3.95120 | − | 5.48867i | 0.365289 | − | 0.507427i | ||||
\(118\) | 10.0771 | − | 11.9605i | 0.927669 | − | 1.10105i | ||||
\(119\) | 11.8240 | + | 1.35974i | 1.08390 | + | 0.124647i | ||||
\(120\) | −6.01586 | − | 1.98029i | −0.549171 | − | 0.180775i | ||||
\(121\) | −3.79325 | − | 6.57011i | −0.344841 | − | 0.597282i | ||||
\(122\) | 4.25026 | + | 11.7510i | 0.384801 | + | 1.06388i | ||||
\(123\) | 0.742339 | − | 2.30179i | 0.0669344 | − | 0.207546i | ||||
\(124\) | −5.46168 | − | 6.56239i | −0.490473 | − | 0.589320i | ||||
\(125\) | −10.7673 | −0.963058 | ||||||||
\(126\) | −4.28201 | + | 10.3761i | −0.381472 | + | 0.924381i | ||||
\(127\) | − | 21.7722i | − | 1.93197i | −0.258595 | − | 0.965986i | \(-0.583260\pi\) | ||
0.258595 | − | 0.965986i | \(-0.416740\pi\) | |||||||
\(128\) | −10.6848 | + | 3.71949i | −0.944414 | + | 0.328760i | ||||
\(129\) | 9.93316 | + | 3.20349i | 0.874566 | + | 0.282052i | ||||
\(130\) | 1.40187 | + | 3.87583i | 0.122952 | + | 0.339933i | ||||
\(131\) | 4.65916 | − | 2.68997i | 0.407073 | − | 0.235024i | −0.282458 | − | 0.959280i | \(-0.591150\pi\) |
0.689531 | + | 0.724256i | \(0.257817\pi\) | |||||||
\(132\) | −2.38664 | − | 5.93851i | −0.207730 | − | 0.516881i | ||||
\(133\) | 11.9370 | + | 8.85234i | 1.03507 | + | 0.767595i | ||||
\(134\) | −6.60906 | − | 5.56835i | −0.570936 | − | 0.481032i | ||||
\(135\) | −2.69199 | + | 6.15462i | −0.231690 | + | 0.529705i | ||||
\(136\) | 11.0572 | − | 6.29524i | 0.948145 | − | 0.539812i | ||||
\(137\) | −11.3713 | − | 6.56523i | −0.971517 | − | 0.560905i | −0.0718185 | − | 0.997418i | \(-0.522880\pi\) |
−0.899698 | + | 0.436512i | \(0.856214\pi\) | |||||||
\(138\) | −2.54531 | + | 0.0893303i | −0.216672 | + | 0.00760430i | ||||
\(139\) | 12.9760 | 1.10061 | 0.550307 | − | 0.834963i | \(-0.314511\pi\) | ||||
0.550307 | + | 0.834963i | \(0.314511\pi\) | |||||||
\(140\) | −3.74675 | − | 5.72358i | −0.316658 | − | 0.483731i | ||||
\(141\) | 4.29484 | + | 19.9907i | 0.361691 | + | 1.68352i | ||||
\(142\) | 3.48026 | − | 19.5081i | 0.292057 | − | 1.63708i | ||||
\(143\) | −2.08250 | + | 3.60699i | −0.174147 | + | 0.301632i | ||||
\(144\) | 2.86029 | + | 11.6541i | 0.238358 | + | 0.971177i | ||||
\(145\) | 0.853802 | + | 1.47883i | 0.0709044 | + | 0.122810i | ||||
\(146\) | 9.48848 | + | 7.99434i | 0.785272 | + | 0.661617i | ||||
\(147\) | −10.6037 | + | 5.87893i | −0.874578 | + | 0.484886i | ||||
\(148\) | −18.6259 | + | 3.20707i | −1.53104 | + | 0.263620i | ||||
\(149\) | 3.42033 | + | 5.92419i | 0.280205 | + | 0.485328i | 0.971435 | − | 0.237306i | \(-0.0762644\pi\) |
−0.691230 | + | 0.722634i | \(0.742931\pi\) | |||||||
\(150\) | 4.32192 | + | 6.91382i | 0.352883 | + | 0.564511i | ||||
\(151\) | −3.16245 | − | 1.82584i | −0.257356 | − | 0.148585i | 0.365772 | − | 0.930705i | \(-0.380805\pi\) |
−0.623128 | + | 0.782120i | \(0.714138\pi\) | |||||||
\(152\) | 15.8870 | + | 0.0958391i | 1.28861 | + | 0.00777358i | ||||
\(153\) | −5.54294 | − | 12.3046i | −0.448120 | − | 0.994768i | ||||
\(154\) | 1.98366 | − | 6.62224i | 0.159848 | − | 0.533635i | ||||
\(155\) | − | 5.51888i | − | 0.443287i | ||||||
\(156\) | 4.81910 | − | 6.14488i | 0.385837 | − | 0.491984i | ||||
\(157\) | −2.34584 | − | 1.35437i | −0.187219 | − | 0.108091i | 0.403461 | − | 0.914997i | \(-0.367807\pi\) |
−0.590680 | + | 0.806906i | \(0.701140\pi\) | |||||||
\(158\) | 1.31671 | + | 3.64038i | 0.104751 | + | 0.289613i | ||||
\(159\) | 15.4901 | − | 14.0088i | 1.22844 | − | 1.11097i | ||||
\(160\) | −6.84666 | − | 2.57023i | −0.541276 | − | 0.203194i | ||||
\(161\) | −2.20965 | − | 1.63865i | −0.174145 | − | 0.129143i | ||||
\(162\) | 12.5918 | − | 1.85620i | 0.989309 | − | 0.145837i | ||||
\(163\) | 4.41842 | + | 7.65293i | 0.346078 | + | 0.599424i | 0.985549 | − | 0.169391i | \(-0.0541801\pi\) |
−0.639471 | + | 0.768815i | \(0.720847\pi\) | |||||||
\(164\) | 0.965700 | − | 2.62040i | 0.0754085 | − | 0.204619i | ||||
\(165\) | 1.26982 | − | 3.93737i | 0.0988554 | − | 0.306524i | ||||
\(166\) | 6.60428 | + | 1.17821i | 0.512591 | + | 0.0914469i | ||||
\(167\) | 11.8815 | 0.919417 | 0.459709 | − | 0.888070i | \(-0.347954\pi\) | ||||
0.459709 | + | 0.888070i | \(0.347954\pi\) | |||||||
\(168\) | −5.43272 | + | 11.7680i | −0.419143 | + | 0.907920i | ||||
\(169\) | 7.91806 | 0.609081 | ||||||||
\(170\) | 8.09674 | + | 1.44447i | 0.620992 | + | 0.110786i | ||||
\(171\) | 1.68814 | − | 16.7663i | 0.129095 | − | 1.28215i | ||||
\(172\) | 11.3081 | + | 4.16738i | 0.862234 | + | 0.317760i | ||||
\(173\) | −3.12500 | − | 5.41265i | −0.237589 | − | 0.411516i | 0.722433 | − | 0.691441i | \(-0.243024\pi\) |
−0.960022 | + | 0.279925i | \(0.909691\pi\) | |||||||
\(174\) | 1.51844 | − | 2.85697i | 0.115112 | − | 0.216586i | ||||
\(175\) | −1.00614 | + | 8.74915i | −0.0760571 | + | 0.661373i | ||||
\(176\) | −2.47168 | − | 6.96468i | −0.186310 | − | 0.524982i | ||||
\(177\) | −12.8480 | − | 14.2066i | −0.965717 | − | 1.06783i | ||||
\(178\) | −4.61684 | − | 12.7645i | −0.346046 | − | 0.956736i | ||||
\(179\) | −1.43978 | − | 0.831255i | −0.107614 | − | 0.0621309i | 0.445227 | − | 0.895418i | \(-0.353123\pi\) |
−0.552841 | + | 0.833287i | \(0.686456\pi\) | |||||||
\(180\) | −3.39792 | + | 6.97297i | −0.253266 | + | 0.519735i | ||||
\(181\) | 4.46877i | 0.332161i | 0.986112 | + | 0.166081i | \(0.0531112\pi\) | ||||
−0.986112 | + | 0.166081i | \(0.946889\pi\) | |||||||
\(182\) | 8.20781 | − | 1.94397i | 0.608403 | − | 0.144097i | ||||
\(183\) | 14.9630 | − | 3.21468i | 1.10609 | − | 0.237636i | ||||
\(184\) | −2.94083 | − | 0.0177407i | −0.216801 | − | 0.00130786i | ||||
\(185\) | −10.5802 | − | 6.10850i | −0.777874 | − | 0.449106i | ||||
\(186\) | −8.86681 | + | 5.54275i | −0.650146 | + | 0.406414i | ||||
\(187\) | 4.15562 | + | 7.19775i | 0.303889 | + | 0.526352i | ||||
\(188\) | 4.00628 | + | 23.2676i | 0.292188 | + | 1.69696i | ||||
\(189\) | 11.8837 | + | 6.91215i | 0.864412 | + | 0.502785i | ||||
\(190\) | 7.85368 | + | 6.61698i | 0.569766 | + | 0.480046i | ||||
\(191\) | −11.2771 | − | 19.5325i | −0.815982 | − | 1.41332i | −0.908620 | − | 0.417623i | \(-0.862863\pi\) |
0.0926380 | − | 0.995700i | \(-0.470470\pi\) | |||||||
\(192\) | 2.74687 | + | 13.5814i | 0.198238 | + | 0.980154i | ||||
\(193\) | −2.90298 | + | 5.02810i | −0.208961 | + | 0.361931i | −0.951387 | − | 0.307997i | \(-0.900341\pi\) |
0.742427 | + | 0.669927i | \(0.233675\pi\) | |||||||
\(194\) | −2.16948 | + | 12.1607i | −0.155759 | + | 0.873086i | ||||
\(195\) | 4.93525 | − | 1.06030i | 0.353421 | − | 0.0759297i | ||||
\(196\) | −12.5128 | + | 6.27940i | −0.893768 | + | 0.448529i | ||||
\(197\) | 3.15873 | 0.225050 | 0.112525 | − | 0.993649i | \(-0.464106\pi\) | ||||
0.112525 | + | 0.993649i | \(0.464106\pi\) | |||||||
\(198\) | −7.60122 | + | 1.91427i | −0.540195 | + | 0.136041i | ||||
\(199\) | 12.2352 | + | 7.06397i | 0.867327 | + | 0.500751i | 0.866459 | − | 0.499248i | \(-0.166390\pi\) |
0.000867851 | 1.00000i | \(0.499724\pi\) | ||||||||
\(200\) | 4.65817 | + | 8.18177i | 0.329382 | + | 0.578538i | ||||
\(201\) | −7.85023 | + | 7.09951i | −0.553713 | + | 0.500761i | ||||
\(202\) | −7.39832 | − | 6.23332i | −0.520544 | − | 0.438575i | ||||
\(203\) | 3.20627 | − | 1.39013i | 0.225036 | − | 0.0975677i | ||||
\(204\) | −5.81104 | − | 14.4592i | −0.406854 | − | 1.01235i | ||||
\(205\) | 1.56334 | − | 0.902597i | 0.109189 | − | 0.0630401i | ||||
\(206\) | −2.15914 | − | 5.96951i | −0.150434 | − | 0.415915i | ||||
\(207\) | −0.312489 | + | 3.10359i | −0.0217195 | + | 0.215714i | ||||
\(208\) | 5.85156 | − | 6.86078i | 0.405733 | − | 0.475710i | ||||
\(209\) | 10.3778i | 0.717848i | ||||||||
\(210\) | −7.56530 | + | 3.60035i | −0.522055 | + | 0.248447i | ||||
\(211\) | 1.95410 | 0.134526 | 0.0672629 | − | 0.997735i | \(-0.478573\pi\) | ||||
0.0672629 | + | 0.997735i | \(0.478573\pi\) | |||||||
\(212\) | 18.5361 | − | 15.4271i | 1.27307 | − | 1.05954i | ||||
\(213\) | −23.0981 | − | 7.44926i | −1.58266 | − | 0.510415i | ||||
\(214\) | 3.48748 | + | 9.64205i | 0.238399 | + | 0.659117i | ||||
\(215\) | 3.89507 | + | 6.74646i | 0.265642 | + | 0.460105i | ||||
\(216\) | 14.6156 | − | 1.54392i | 0.994467 | − | 0.105051i | ||||
\(217\) | −11.2206 | − | 1.29035i | −0.761702 | − | 0.0875948i | ||||
\(218\) | −11.2246 | + | 13.3225i | −0.760229 | + | 0.902315i | ||||
\(219\) | 11.2704 | − | 10.1926i | 0.761583 | − | 0.688753i | ||||
\(220\) | 1.65190 | − | 4.48237i | 0.111371 | − | 0.302202i | ||||
\(221\) | −5.07051 | + | 8.78238i | −0.341079 | + | 0.590766i | ||||
\(222\) | 0.811891 | + | 23.1334i | 0.0544906 | + | 1.55262i | ||||
\(223\) | − | 3.59985i | − | 0.241064i | −0.992709 | − | 0.120532i | \(-0.961540\pi\) | ||
0.992709 | − | 0.120532i | \(-0.0384600\pi\) | |||||||
\(224\) | −6.82638 | + | 13.3192i | −0.456107 | + | 0.889925i | ||||
\(225\) | 9.10480 | − | 4.10151i | 0.606987 | − | 0.273434i | ||||
\(226\) | −10.1294 | − | 1.80710i | −0.673798 | − | 0.120206i | ||||
\(227\) | −5.05015 | − | 2.91571i | −0.335190 | − | 0.193522i | 0.322953 | − | 0.946415i | \(-0.395325\pi\) |
−0.658143 | + | 0.752893i | \(0.728658\pi\) | |||||||
\(228\) | 2.74339 | − | 19.2636i | 0.181685 | − | 1.27576i | ||||
\(229\) | −11.2803 | + | 6.51269i | −0.745424 | + | 0.430371i | −0.824038 | − | 0.566535i | \(-0.808284\pi\) |
0.0786144 | + | 0.996905i | \(0.474950\pi\) | |||||||
\(230\) | −1.45378 | − | 1.22486i | −0.0958597 | − | 0.0807649i | ||||
\(231\) | −7.70827 | − | 3.50229i | −0.507167 | − | 0.230433i | ||||
\(232\) | 1.88745 | − | 3.22409i | 0.123917 | − | 0.211672i | ||||
\(233\) | 13.6565 | − | 7.88458i | 0.894667 | − | 0.516536i | 0.0192009 | − | 0.999816i | \(-0.493888\pi\) |
0.875466 | + | 0.483279i | \(0.160554\pi\) | |||||||
\(234\) | −6.66011 | − | 6.86424i | −0.435385 | − | 0.448730i | ||||
\(235\) | −7.63075 | + | 13.2169i | −0.497775 | + | 0.862172i | ||||
\(236\) | −14.1488 | − | 17.0003i | −0.921011 | − | 1.10663i | ||||
\(237\) | 4.63544 | − | 0.995889i | 0.301104 | − | 0.0646899i | ||||
\(238\) | 4.82986 | − | 16.1240i | 0.313073 | − | 1.04516i | ||||
\(239\) | −22.7458 | −1.47130 | −0.735651 | − | 0.677361i | \(-0.763124\pi\) | ||||
−0.735651 | + | 0.677361i | \(0.763124\pi\) | |||||||
\(240\) | −4.25121 | + | 7.88362i | −0.274415 | + | 0.508886i | ||||
\(241\) | −6.82067 | + | 11.8137i | −0.439358 | + | 0.760990i | −0.997640 | − | 0.0686608i | \(-0.978127\pi\) |
0.558282 | + | 0.829651i | \(0.311461\pi\) | |||||||
\(242\) | −10.0893 | + | 3.64923i | −0.648562 | + | 0.234582i | ||||
\(243\) | −0.170365 | − | 15.5875i | −0.0109289 | − | 0.999940i | ||||
\(244\) | 17.4157 | − | 2.99870i | 1.11493 | − | 0.191972i | ||||
\(245\) | −8.81339 | − | 2.05422i | −0.563067 | − | 0.131240i | ||||
\(246\) | −3.02025 | − | 1.60522i | −0.192564 | − | 0.102345i | ||||
\(247\) | −10.9661 | + | 6.33127i | −0.697755 | + | 0.402849i | ||||
\(248\) | −10.4929 | + | 5.97398i | −0.666301 | + | 0.379348i | ||||
\(249\) | 2.52188 | − | 7.81966i | 0.159818 | − | 0.495551i | ||||
\(250\) | −2.67434 | + | 14.9906i | −0.169140 | + | 0.948089i | ||||
\(251\) | 5.33090i | 0.336484i | 0.985746 | + | 0.168242i | \(0.0538089\pi\) | ||||
−0.985746 | + | 0.168242i | \(0.946191\pi\) | |||||||
\(252\) | 13.3825 | + | 8.53873i | 0.843015 | + | 0.537889i | ||||
\(253\) | − | 1.92102i | − | 0.120774i | ||||||
\(254\) | −30.3120 | − | 5.40769i | −1.90194 | − | 0.339308i | ||||
\(255\) | 3.09179 | − | 9.58679i | 0.193615 | − | 0.600348i | ||||
\(256\) | 2.52455 | + | 15.7996i | 0.157784 | + | 0.987474i | ||||
\(257\) | −7.26678 | + | 4.19547i | −0.453289 | + | 0.261707i | −0.709218 | − | 0.704989i | \(-0.750952\pi\) |
0.255929 | + | 0.966696i | \(0.417619\pi\) | |||||||
\(258\) | 6.92716 | − | 13.0336i | 0.431266 | − | 0.811436i | ||||
\(259\) | −14.8931 | + | 20.0827i | −0.925410 | + | 1.24788i | ||||
\(260\) | 5.74425 | − | 0.989063i | 0.356243 | − | 0.0613391i | ||||
\(261\) | −3.21593 | − | 2.31510i | −0.199061 | − | 0.143301i | ||||
\(262\) | −2.58784 | − | 7.15476i | −0.159877 | − | 0.442023i | ||||
\(263\) | 1.58410 | − | 2.74375i | 0.0976800 | − | 0.169187i | −0.813044 | − | 0.582202i | \(-0.802191\pi\) |
0.910724 | + | 0.413016i | \(0.135525\pi\) | |||||||
\(264\) | −8.86056 | + | 1.84778i | −0.545330 | + | 0.113723i | ||||
\(265\) | 15.5886 | 0.957603 | ||||||||
\(266\) | 15.2894 | − | 14.4204i | 0.937452 | − | 0.884172i | ||||
\(267\) | −16.2535 | + | 3.49194i | −0.994698 | + | 0.213703i | ||||
\(268\) | −9.39396 | + | 7.81830i | −0.573827 | + | 0.477579i | ||||
\(269\) | 7.81827 | − | 13.5416i | 0.476689 | − | 0.825649i | −0.522955 | − | 0.852361i | \(-0.675170\pi\) |
0.999643 | + | 0.0267117i | \(0.00850361\pi\) | |||||||
\(270\) | 7.90003 | + | 5.27654i | 0.480781 | + | 0.321120i | ||||
\(271\) | −12.4371 | + | 7.18058i | −0.755502 | + | 0.436189i | −0.827678 | − | 0.561203i | \(-0.810339\pi\) |
0.0721766 | + | 0.997392i | \(0.477005\pi\) | |||||||
\(272\) | −6.01809 | − | 16.9577i | −0.364901 | − | 1.02821i | ||||
\(273\) | −1.00183 | − | 10.2819i | −0.0606333 | − | 0.622288i | ||||
\(274\) | −11.9647 | + | 14.2009i | −0.722813 | + | 0.857905i | ||||
\(275\) | −5.32598 | + | 3.07496i | −0.321169 | + | 0.185427i | ||||
\(276\) | −0.507826 | + | 3.56586i | −0.0305675 | + | 0.214639i | ||||
\(277\) | 3.23202 | + | 1.86601i | 0.194193 | + | 0.112117i | 0.593944 | − | 0.804506i | \(-0.297570\pi\) |
−0.399751 | + | 0.916624i | \(0.630903\pi\) | |||||||
\(278\) | 3.22293 | − | 18.0657i | 0.193299 | − | 1.08351i | ||||
\(279\) | 5.26008 | + | 11.6767i | 0.314913 | + | 0.699065i | ||||
\(280\) | −8.89915 | + | 3.79475i | −0.531826 | + | 0.226780i | ||||
\(281\) | 18.8375i | 1.12375i | 0.827223 | + | 0.561874i | \(0.189920\pi\) | ||||
−0.827223 | + | 0.561874i | \(0.810080\pi\) | |||||||
\(282\) | 28.8984 | − | 1.01422i | 1.72087 | − | 0.0603957i | ||||
\(283\) | 10.7726 | − | 18.6586i | 0.640362 | − | 1.10914i | −0.344989 | − | 0.938607i | \(-0.612117\pi\) |
0.985352 | − | 0.170534i | \(-0.0545492\pi\) | |||||||
\(284\) | −26.2953 | − | 9.69066i | −1.56034 | − | 0.575035i | ||||
\(285\) | 9.32859 | − | 8.43649i | 0.552578 | − | 0.499735i | ||||
\(286\) | 4.50453 | + | 3.79521i | 0.266358 | + | 0.224415i | ||||
\(287\) | −1.46957 | − | 3.38951i | −0.0867460 | − | 0.200076i | ||||
\(288\) | 16.9357 | − | 1.08759i | 0.997944 | − | 0.0640868i | ||||
\(289\) | 1.61820 | + | 2.80280i | 0.0951880 | + | 0.164870i | ||||
\(290\) | 2.27094 | − | 0.821386i | 0.133354 | − | 0.0482334i | ||||
\(291\) | 14.3986 | + | 4.64362i | 0.844061 | + | 0.272214i | ||||
\(292\) | 13.4867 | − | 11.2246i | 0.789249 | − | 0.656868i | ||||
\(293\) | 4.13814 | 0.241753 | 0.120876 | − | 0.992668i | \(-0.461430\pi\) | ||||
0.120876 | + | 0.992668i | \(0.461430\pi\) | |||||||
\(294\) | 5.55113 | + | 16.2230i | 0.323749 | + | 0.946143i | ||||
\(295\) | − | 14.2970i | − | 0.832405i | ||||||
\(296\) | −0.161238 | + | 26.7282i | −0.00937180 | + | 1.55354i | ||||
\(297\) | 1.06608 | + | 9.54085i | 0.0618604 | + | 0.553616i | ||||
\(298\) | 9.09737 | − | 3.29047i | 0.526997 | − | 0.190612i | ||||
\(299\) | 2.02992 | − | 1.17197i | 0.117393 | − | 0.0677770i | ||||
\(300\) | 10.6991 | − | 4.29989i | 0.617713 | − | 0.248254i | ||||
\(301\) | 14.6271 | − | 6.34179i | 0.843091 | − | 0.365535i | ||||
\(302\) | −3.32747 | + | 3.94937i | −0.191474 | + | 0.227260i | ||||
\(303\) | −8.78771 | + | 7.94734i | −0.504841 | + | 0.456563i | ||||
\(304\) | 4.07939 | − | 22.0946i | 0.233969 | − | 1.26722i | ||||
\(305\) | 9.89279 | + | 5.71160i | 0.566459 | + | 0.327046i | ||||
\(306\) | −18.5076 | + | 4.66090i | −1.05801 | + | 0.266446i | ||||
\(307\) | −4.63154 | −0.264336 | −0.132168 | − | 0.991227i | \(-0.542194\pi\) | ||||
−0.132168 | + | 0.991227i | \(0.542194\pi\) | |||||||
\(308\) | −8.72700 | − | 4.40652i | −0.497267 | − | 0.251085i | ||||
\(309\) | −7.60122 | + | 1.63306i | −0.432418 | + | 0.0929017i | ||||
\(310\) | −7.68356 | − | 1.37076i | −0.436397 | − | 0.0778537i | ||||
\(311\) | −7.04878 | + | 12.2088i | −0.399700 | + | 0.692300i | −0.993689 | − | 0.112173i | \(-0.964219\pi\) |
0.593989 | + | 0.804473i | \(0.297552\pi\) | |||||||
\(312\) | −7.35815 | − | 8.23554i | −0.416573 | − | 0.466246i | ||||
\(313\) | 6.95418 | + | 12.0450i | 0.393074 | + | 0.680824i | 0.992853 | − | 0.119342i | \(-0.0380784\pi\) |
−0.599780 | + | 0.800165i | \(0.704745\pi\) | |||||||
\(314\) | −2.46825 | + | 2.92956i | −0.139292 | + | 0.165325i | ||||
\(315\) | 3.11813 | + | 9.77608i | 0.175687 | + | 0.550819i | ||||
\(316\) | 5.39529 | − | 0.928978i | 0.303509 | − | 0.0522591i | ||||
\(317\) | 8.34364 | + | 14.4516i | 0.468625 | + | 0.811683i | 0.999357 | − | 0.0358569i | \(-0.0114161\pi\) |
−0.530731 | + | 0.847540i | \(0.678083\pi\) | |||||||
\(318\) | −15.6561 | − | 25.0452i | −0.877949 | − | 1.40447i | ||||
\(319\) | 2.11342 | + | 1.22018i | 0.118329 | + | 0.0683171i | ||||
\(320\) | −5.27890 | + | 8.89376i | −0.295099 | + | 0.497176i | ||||
\(321\) | 12.2776 | − | 2.63775i | 0.685269 | − | 0.147225i | ||||
\(322\) | −2.83020 | + | 2.66934i | −0.157721 | + | 0.148757i | ||||
\(323\) | 25.2681i | 1.40595i | ||||||||
\(324\) | 0.543246 | − | 17.9918i | 0.0301803 | − | 0.999544i | ||||
\(325\) | −6.49853 | − | 3.75193i | −0.360473 | − | 0.208119i | ||||
\(326\) | 11.7521 | − | 4.25067i | 0.650888 | − | 0.235423i | ||||
\(327\) | 14.3112 | + | 15.8245i | 0.791410 | + | 0.875095i | ||||
\(328\) | −3.40835 | − | 1.99532i | −0.188195 | − | 0.110173i | ||||
\(329\) | 25.0874 | + | 18.6045i | 1.38311 | + | 1.02570i | ||||
\(330\) | −5.16634 | − | 2.74583i | −0.284398 | − | 0.151153i | ||||
\(331\) | −4.82148 | − | 8.35105i | −0.265012 | − | 0.459015i | 0.702554 | − | 0.711630i | \(-0.252043\pi\) |
−0.967567 | + | 0.252615i | \(0.918709\pi\) | |||||||
\(332\) | 3.28068 | − | 8.90205i | 0.180051 | − | 0.488563i | ||||
\(333\) | 28.2074 | + | 2.84010i | 1.54576 | + | 0.155636i | ||||
\(334\) | 2.95107 | − | 16.5418i | 0.161475 | − | 0.905126i | ||||
\(335\) | −7.90019 | −0.431633 | ||||||||
\(336\) | 15.0344 | + | 10.4865i | 0.820194 | + | 0.572085i | ||||
\(337\) | 29.4886 | 1.60635 | 0.803173 | − | 0.595746i | \(-0.203144\pi\) | ||||
0.803173 | + | 0.595746i | \(0.203144\pi\) | |||||||
\(338\) | 1.96665 | − | 11.0238i | 0.106972 | − | 0.599614i | ||||
\(339\) | −3.86797 | + | 11.9935i | −0.210079 | + | 0.651399i | ||||
\(340\) | 4.02207 | − | 10.9138i | 0.218127 | − | 0.591883i | ||||
\(341\) | −3.94356 | − | 6.83044i | −0.213556 | − | 0.369889i | ||||
\(342\) | −22.9233 | − | 6.51462i | −1.23955 | − | 0.352270i | ||||
\(343\) | −6.23712 | + | 17.4384i | −0.336773 | + | 0.941586i | ||||
\(344\) | 8.61062 | − | 14.7084i | 0.464253 | − | 0.793024i | ||||
\(345\) | −1.72680 | + | 1.56167i | −0.0929680 | + | 0.0840774i | ||||
\(346\) | −8.31184 | + | 3.00635i | −0.446847 | + | 0.161622i | ||||
\(347\) | −10.8911 | − | 6.28800i | −0.584667 | − | 0.337558i | 0.178319 | − | 0.983973i | \(-0.442934\pi\) |
−0.762986 | + | 0.646415i | \(0.776267\pi\) | |||||||
\(348\) | −3.60042 | − | 2.82362i | −0.193003 | − | 0.151362i | ||||
\(349\) | − | 34.5012i | − | 1.84681i | −0.383830 | − | 0.923404i | \(-0.625395\pi\) | ||
0.383830 | − | 0.923404i | \(-0.374605\pi\) | |||||||
\(350\) | 11.9309 | + | 3.57386i | 0.637735 | + | 0.191031i | ||||
\(351\) | −9.43129 | + | 6.94718i | −0.503405 | + | 0.370813i | ||||
\(352\) | −10.3103 | + | 1.71129i | −0.549543 | + | 0.0912123i | ||||
\(353\) | 9.10737 | + | 5.25815i | 0.484737 | + | 0.279863i | 0.722388 | − | 0.691488i | \(-0.243044\pi\) |
−0.237652 | + | 0.971350i | \(0.576378\pi\) | |||||||
\(354\) | −22.9700 | + | 14.3589i | −1.22084 | + | 0.763165i | ||||
\(355\) | −9.05743 | − | 15.6879i | −0.480719 | − | 0.832629i | ||||
\(356\) | −18.9178 | + | 3.25733i | −1.00264 | + | 0.172638i | ||||
\(357\) | −18.7682 | − | 8.52744i | −0.993321 | − | 0.451320i | ||||
\(358\) | −1.51491 | + | 1.79804i | −0.0800652 | + | 0.0950293i | ||||
\(359\) | 8.02903 | + | 13.9067i | 0.423756 | + | 0.733967i | 0.996303 | − | 0.0859047i | \(-0.0273780\pi\) |
−0.572547 | + | 0.819872i | \(0.694045\pi\) | |||||||
\(360\) | 8.86403 | + | 6.46262i | 0.467175 | + | 0.340610i | ||||
\(361\) | −6.27547 | + | 10.8694i | −0.330288 | + | 0.572075i | ||||
\(362\) | 6.22156 | + | 1.10993i | 0.326998 | + | 0.0583368i | ||||
\(363\) | 2.76009 | + | 12.8471i | 0.144867 | + | 0.674296i | ||||
\(364\) | −0.667843 | − | 11.9100i | −0.0350045 | − | 0.624254i | ||||
\(365\) | 11.3421 | 0.593673 | ||||||||
\(366\) | −0.759140 | − | 21.6304i | −0.0396809 | − | 1.13064i | ||||
\(367\) | 20.8250 | + | 12.0233i | 1.08706 | + | 0.627613i | 0.932791 | − | 0.360417i | \(-0.117366\pi\) |
0.154266 | + | 0.988029i | \(0.450699\pi\) | |||||||
\(368\) | −0.755130 | + | 4.08991i | −0.0393639 | + | 0.213201i | ||||
\(369\) | −2.44741 | + | 3.39972i | −0.127407 | + | 0.176983i | ||||
\(370\) | −11.1323 | + | 13.2129i | −0.578742 | + | 0.686907i | ||||
\(371\) | 3.64473 | − | 31.6936i | 0.189225 | − | 1.64545i | ||||
\(372\) | 5.51450 | + | 13.7213i | 0.285913 | + | 0.711418i | ||||
\(373\) | 12.5120 | − | 7.22381i | 0.647847 | − | 0.374035i | −0.139784 | − | 0.990182i | \(-0.544641\pi\) |
0.787631 | + | 0.616147i | \(0.211307\pi\) | |||||||
\(374\) | 11.0531 | − | 3.99784i | 0.571542 | − | 0.206724i | ||||
\(375\) | 17.7493 | + | 5.72424i | 0.916571 | + | 0.295599i | ||||
\(376\) | 33.3889 | + | 0.201420i | 1.72190 | + | 0.0103874i | ||||
\(377\) | 2.97762i | 0.153355i | ||||||||
\(378\) | 12.5749 | − | 14.8280i | 0.646785 | − | 0.762673i | ||||
\(379\) | −29.8048 | −1.53097 | −0.765485 | − | 0.643453i | \(-0.777501\pi\) | ||||
−0.765485 | + | 0.643453i | \(0.777501\pi\) | |||||||
\(380\) | 11.1630 | − | 9.29065i | 0.572651 | − | 0.476600i | ||||
\(381\) | −11.5748 | + | 35.8903i | −0.592994 | + | 1.83871i | ||||
\(382\) | −29.9947 | + | 10.8489i | −1.53466 | + | 0.555080i | ||||
\(383\) | 5.62806 | + | 9.74809i | 0.287581 | + | 0.498104i | 0.973232 | − | 0.229826i | \(-0.0738158\pi\) |
−0.685651 | + | 0.727930i | \(0.740482\pi\) | |||||||
\(384\) | 19.5907 | − | 0.450993i | 0.999735 | − | 0.0230146i | ||||
\(385\) | −2.51380 | − | 5.79798i | −0.128115 | − | 0.295492i | ||||
\(386\) | 6.27926 | + | 5.29048i | 0.319606 | + | 0.269278i | ||||
\(387\) | −14.6712 | − | 10.5616i | −0.745778 | − | 0.536874i | ||||
\(388\) | 16.3916 | + | 6.04083i | 0.832159 | + | 0.306677i | ||||
\(389\) | 13.4807 | − | 23.3492i | 0.683498 | − | 1.18385i | −0.290408 | − | 0.956903i | \(-0.593791\pi\) |
0.973906 | − | 0.226950i | \(-0.0728755\pi\) | |||||||
\(390\) | −0.250388 | − | 7.13437i | −0.0126789 | − | 0.361263i | ||||
\(391\) | − | 4.67735i | − | 0.236544i | ||||||
\(392\) | 5.63452 | + | 18.9803i | 0.284586 | + | 0.958650i | ||||
\(393\) | −9.11045 | + | 1.95731i | −0.459561 | + | 0.0987331i | ||||
\(394\) | 0.784552 | − | 4.39769i | 0.0395252 | − | 0.221552i | ||||
\(395\) | 3.06473 | + | 1.76942i | 0.154203 | + | 0.0890293i | ||||
\(396\) | 0.777148 | + | 11.0581i | 0.0390532 | + | 0.555691i | ||||
\(397\) | −6.75185 | + | 3.89818i | −0.338866 | + | 0.195644i | −0.659770 | − | 0.751467i | \(-0.729346\pi\) |
0.320905 | + | 0.947111i | \(0.396013\pi\) | |||||||
\(398\) | 12.8736 | − | 15.2796i | 0.645295 | − | 0.765900i | ||||
\(399\) | −14.9713 | − | 20.9387i | −0.749505 | − | 1.04825i | ||||
\(400\) | 12.5479 | − | 4.45309i | 0.627395 | − | 0.222655i | ||||
\(401\) | 2.98430 | − | 1.72299i | 0.149029 | − | 0.0860420i | −0.423631 | − | 0.905835i | \(-0.639245\pi\) |
0.572660 | + | 0.819793i | \(0.305911\pi\) | |||||||
\(402\) | 7.93436 | + | 12.6927i | 0.395730 | + | 0.633054i | ||||
\(403\) | 4.81175 | − | 8.33420i | 0.239691 | − | 0.415156i | ||||
\(404\) | −10.5158 | + | 8.75197i | −0.523180 | + | 0.435427i | ||||
\(405\) | 7.70959 | − | 8.71440i | 0.383093 | − | 0.433022i | ||||
\(406\) | −1.13902 | − | 4.80914i | −0.0565285 | − | 0.238674i | ||||
\(407\) | −17.4595 | −0.865435 | ||||||||
\(408\) | −21.5739 | + | 4.49900i | −1.06807 | + | 0.222734i | ||||
\(409\) | 9.79039 | − | 16.9575i | 0.484104 | − | 0.838492i | −0.515729 | − | 0.856752i | \(-0.672479\pi\) |
0.999833 | + | 0.0182590i | \(0.00581236\pi\) | |||||||
\(410\) | −0.868328 | − | 2.40072i | −0.0428837 | − | 0.118563i | ||||
\(411\) | 15.2547 | + | 16.8678i | 0.752459 | + | 0.832025i | ||||
\(412\) | −8.84722 | + | 1.52334i | −0.435871 | + | 0.0750497i | ||||
\(413\) | −29.0676 | − | 3.34274i | −1.43032 | − | 0.164485i | ||||
\(414\) | 4.24330 | + | 1.20591i | 0.208547 | + | 0.0592674i | ||||
\(415\) | 5.31101 | − | 3.06631i | 0.260707 | − | 0.150519i | ||||
\(416\) | −8.09842 | − | 9.85078i | −0.397057 | − | 0.482974i | ||||
\(417\) | −21.3903 | − | 6.89847i | −1.04749 | − | 0.337819i | ||||
\(418\) | 14.4483 | + | 2.57759i | 0.706690 | + | 0.126074i | ||||
\(419\) | − | 27.6189i | − | 1.34927i | −0.738150 | − | 0.674637i | \(-0.764300\pi\) | ||
0.738150 | − | 0.674637i | \(-0.235700\pi\) | |||||||
\(420\) | 3.13348 | + | 11.4269i | 0.152898 | + | 0.557575i | ||||
\(421\) | 9.36226i | 0.456289i | 0.973627 | + | 0.228144i | \(0.0732658\pi\) | ||||
−0.973627 | + | 0.228144i | \(0.926734\pi\) | |||||||
\(422\) | 0.485351 | − | 2.72056i | 0.0236265 | − | 0.132435i | ||||
\(423\) | 3.54786 | − | 35.2368i | 0.172503 | − | 1.71327i | ||||
\(424\) | −16.8741 | − | 29.6383i | −0.819480 | − | 1.43936i | ||||
\(425\) | −12.9678 | + | 7.48697i | −0.629031 | + | 0.363171i | ||||
\(426\) | −16.1081 | + | 30.3078i | −0.780441 | + | 1.46842i | ||||
\(427\) | 13.9254 | − | 18.7779i | 0.673897 | − | 0.908724i | ||||
\(428\) | 14.2902 | − | 2.46053i | 0.690741 | − | 0.118934i | ||||
\(429\) | 5.35047 | − | 4.83880i | 0.258323 | − | 0.233620i | ||||
\(430\) | 10.3601 | − | 3.74719i | 0.499607 | − | 0.180705i | ||||
\(431\) | 4.22951 | − | 7.32573i | 0.203729 | − | 0.352868i | −0.745998 | − | 0.665948i | \(-0.768027\pi\) |
0.949727 | + | 0.313080i | \(0.101361\pi\) | |||||||
\(432\) | 1.48067 | − | 20.7318i | 0.0712386 | − | 0.997459i | ||||
\(433\) | −10.9191 | −0.524737 | −0.262369 | − | 0.964968i | \(-0.584504\pi\) | ||||
−0.262369 | + | 0.964968i | \(0.584504\pi\) | |||||||
\(434\) | −4.58338 | + | 15.3011i | −0.220009 | + | 0.734478i | ||||
\(435\) | −0.621254 | − | 2.89168i | −0.0297868 | − | 0.138645i | ||||
\(436\) | 15.7601 | + | 18.9363i | 0.754772 | + | 0.906884i | ||||
\(437\) | 2.92018 | − | 5.05790i | 0.139691 | − | 0.241952i | ||||
\(438\) | −11.3912 | − | 18.2226i | −0.544292 | − | 0.870710i | ||||
\(439\) | −20.2600 | + | 11.6971i | −0.966959 | + | 0.558274i | −0.898308 | − | 0.439367i | \(-0.855203\pi\) |
−0.0686510 | + | 0.997641i | \(0.521869\pi\) | |||||||
\(440\) | −5.83021 | − | 3.41313i | −0.277944 | − | 0.162715i | ||||
\(441\) | 20.6050 | − | 4.05383i | 0.981191 | − | 0.193040i | ||||
\(442\) | 10.9677 | + | 9.24065i | 0.521681 | + | 0.439533i | ||||
\(443\) | −5.31199 | + | 3.06688i | −0.252380 | + | 0.145712i | −0.620854 | − | 0.783926i | \(-0.713214\pi\) |
0.368473 | + | 0.929638i | \(0.379881\pi\) | |||||||
\(444\) | 32.4088 | + | 4.61544i | 1.53805 | + | 0.219039i | ||||
\(445\) | −10.7460 | − | 6.20422i | −0.509410 | − | 0.294108i | ||||
\(446\) | −5.01183 | − | 0.894116i | −0.237317 | − | 0.0423376i | ||||
\(447\) | −2.48874 | − | 11.5840i | −0.117713 | − | 0.547907i | ||||
\(448\) | 16.8479 | + | 12.8121i | 0.795987 | + | 0.605313i | ||||
\(449\) | − | 35.8658i | − | 1.69261i | −0.532696 | − | 0.846307i | \(-0.678821\pi\) | ||
0.532696 | − | 0.846307i | \(-0.321179\pi\) | |||||||
\(450\) | −3.44884 | − | 13.6947i | −0.162580 | − | 0.645575i | ||||
\(451\) | 1.28992 | − | 2.23420i | 0.0607397 | − | 0.105204i | ||||
\(452\) | −5.03180 | + | 13.6536i | −0.236676 | + | 0.642214i | ||||
\(453\) | 4.24244 | + | 4.69105i | 0.199327 | + | 0.220405i | ||||
\(454\) | −5.31368 | + | 6.30679i | −0.249383 | + | 0.295992i | ||||
\(455\) | 4.59303 | − | 6.19352i | 0.215324 | − | 0.290357i | ||||
\(456\) | −26.1380 | − | 8.60404i | −1.22402 | − | 0.402921i | ||||
\(457\) | −1.51987 | − | 2.63249i | −0.0710964 | − | 0.123143i | 0.828286 | − | 0.560306i | \(-0.189316\pi\) |
−0.899382 | + | 0.437163i | \(0.855983\pi\) | |||||||
\(458\) | 6.26542 | + | 17.3224i | 0.292764 | + | 0.809422i | ||||
\(459\) | 2.59572 | + | 23.2303i | 0.121158 | + | 1.08430i | ||||
\(460\) | −2.06637 | + | 1.71978i | −0.0963452 | + | 0.0801852i | ||||
\(461\) | 30.7564 | 1.43247 | 0.716233 | − | 0.697861i | \(-0.245865\pi\) | ||||
0.716233 | + | 0.697861i | \(0.245865\pi\) | |||||||
\(462\) | −6.79054 | + | 9.86181i | −0.315924 | + | 0.458813i | ||||
\(463\) | − | 9.54146i | − | 0.443429i | −0.975112 | − | 0.221715i | \(-0.928835\pi\) | ||
0.975112 | − | 0.221715i | \(-0.0711653\pi\) | |||||||
\(464\) | −4.01989 | − | 3.42856i | −0.186619 | − | 0.159167i | ||||
\(465\) | −2.93401 | + | 9.09756i | −0.136061 | + | 0.421889i | ||||
\(466\) | −7.58523 | − | 20.9714i | −0.351379 | − | 0.971479i | ||||
\(467\) | −4.36437 | + | 2.51977i | −0.201959 | + | 0.116601i | −0.597569 | − | 0.801818i | \(-0.703867\pi\) |
0.395610 | + | 0.918419i | \(0.370533\pi\) | |||||||
\(468\) | −11.2108 | + | 7.56751i | −0.518221 | + | 0.349808i | ||||
\(469\) | −1.84712 | + | 16.0621i | −0.0852920 | + | 0.741677i | ||||
\(470\) | 16.5056 | + | 13.9065i | 0.761348 | + | 0.641460i | ||||
\(471\) | 3.14697 | + | 3.47973i | 0.145004 | + | 0.160338i | ||||
\(472\) | −27.1826 | + | 15.4760i | −1.25118 | + | 0.712340i | ||||
\(473\) | 9.64147 | + | 5.56650i | 0.443315 | + | 0.255948i | ||||
\(474\) | −0.235177 | − | 6.70096i | −0.0108020 | − | 0.307785i | ||||
\(475\) | −18.6972 | −0.857884 | ||||||||
\(476\) | −21.2487 | − | 10.7291i | −0.973931 | − | 0.491766i | ||||
\(477\) | −32.9820 | + | 14.8576i | −1.51014 | + | 0.680285i | ||||
\(478\) | −5.64950 | + | 31.6674i | −0.258402 | + | 1.44843i | ||||
\(479\) | −13.6307 | + | 23.6091i | −0.622804 | + | 1.07873i | 0.366157 | + | 0.930553i | \(0.380673\pi\) |
−0.988961 | + | 0.148175i | \(0.952660\pi\) | |||||||
\(480\) | 9.91993 | + | 7.87678i | 0.452781 | + | 0.359524i | ||||
\(481\) | −10.6516 | − | 18.4492i | −0.485673 | − | 0.841211i | ||||
\(482\) | 14.7534 | + | 12.4302i | 0.671998 | + | 0.566180i | ||||
\(483\) | 2.77133 | + | 3.87593i | 0.126100 | + | 0.176361i | ||||
\(484\) | 2.57465 | + | 14.9530i | 0.117030 | + | 0.679681i | ||||
\(485\) | 5.64610 | + | 9.77933i | 0.256376 | + | 0.444057i | ||||
\(486\) | −21.7438 | − | 3.63437i | −0.986317 | − | 0.164859i | ||||
\(487\) | −0.905513 | − | 0.522798i | −0.0410327 | − | 0.0236902i | 0.479343 | − | 0.877627i | \(-0.340875\pi\) |
−0.520376 | + | 0.853937i | \(0.674208\pi\) | |||||||
\(488\) | 0.150762 | − | 24.9915i | 0.00682468 | − | 1.13131i | ||||
\(489\) | −3.21499 | − | 14.9644i | −0.145387 | − | 0.676714i | ||||
\(490\) | −5.04899 | + | 11.7601i | −0.228090 | + | 0.531265i | ||||
\(491\) | − | 29.3101i | − | 1.32275i | −0.750057 | − | 0.661373i | \(-0.769974\pi\) | ||
0.750057 | − | 0.661373i | \(-0.230026\pi\) | |||||||
\(492\) | −2.98499 | + | 3.80619i | −0.134574 | + | 0.171596i | ||||
\(493\) | 5.14579 | + | 2.97092i | 0.231755 | + | 0.133804i | ||||
\(494\) | 6.09089 | + | 16.8399i | 0.274042 | + | 0.757661i | ||||
\(495\) | −4.18646 | + | 5.81546i | −0.188167 | + | 0.261385i | ||||
\(496\) | 5.71098 | + | 16.0924i | 0.256431 | + | 0.722569i | ||||
\(497\) | −34.0132 | + | 14.7469i | −1.52570 | + | 0.661490i | ||||
\(498\) | −10.2604 | − | 5.45325i | −0.459780 | − | 0.244366i | ||||
\(499\) | 14.3749 | + | 24.8981i | 0.643510 | + | 1.11459i | 0.984643 | + | 0.174578i | \(0.0558560\pi\) |
−0.341133 | + | 0.940015i | \(0.610811\pi\) | |||||||
\(500\) | 20.2062 | + | 7.44660i | 0.903647 | + | 0.333022i | ||||
\(501\) | −19.5860 | − | 6.31657i | −0.875037 | − | 0.282204i | ||||
\(502\) | 7.42185 | + | 1.32407i | 0.331253 | + | 0.0590960i | ||||
\(503\) | 19.8016 | 0.882910 | 0.441455 | − | 0.897283i | \(-0.354462\pi\) | ||||
0.441455 | + | 0.897283i | \(0.354462\pi\) | |||||||
\(504\) | 15.2118 | − | 16.5107i | 0.677586 | − | 0.735444i | ||||
\(505\) | −8.84363 | −0.393536 | ||||||||
\(506\) | −2.67451 | − | 0.477135i | −0.118896 | − | 0.0212113i | ||||
\(507\) | −13.0525 | − | 4.20949i | −0.579681 | − | 0.186950i | ||||
\(508\) | −15.0575 | + | 40.8582i | −0.668069 | + | 1.81279i | ||||
\(509\) | 14.1795 | + | 24.5596i | 0.628494 | + | 1.08858i | 0.987854 | + | 0.155385i | \(0.0496618\pi\) |
−0.359360 | + | 0.933199i | \(0.617005\pi\) | |||||||
\(510\) | −12.5791 | − | 6.68561i | −0.557012 | − | 0.296044i | ||||
\(511\) | 2.65186 | − | 23.0599i | 0.117312 | − | 1.02011i | ||||
\(512\) | 22.6237 | + | 0.409474i | 0.999836 | + | 0.0180964i | ||||
\(513\) | −11.6963 | + | 26.7408i | −0.516403 | + | 1.18064i | ||||
\(514\) | 4.03618 | + | 11.1591i | 0.178028 | + | 0.492206i | ||||
\(515\) | −5.02555 | − | 2.90151i | −0.221452 | − | 0.127856i | ||||
\(516\) | −16.4252 | − | 12.8814i | −0.723081 | − | 0.567073i | ||||
\(517\) | 21.8104i | 0.959222i | ||||||||
\(518\) | 24.2607 | + | 25.7226i | 1.06595 | + | 1.13019i | ||||
\(519\) | 2.27385 | + | 10.5838i | 0.0998108 | + | 0.464577i | ||||
\(520\) | 0.0497260 | − | 8.24298i | 0.00218063 | − | 0.361479i | ||||
\(521\) | −27.4943 | − | 15.8738i | −1.20455 | − | 0.695445i | −0.242984 | − | 0.970030i | \(-0.578126\pi\) |
−0.961563 | + | 0.274585i | \(0.911460\pi\) | |||||||
\(522\) | −4.02191 | + | 3.90231i | −0.176034 | + | 0.170799i | ||||
\(523\) | 3.11470 | + | 5.39482i | 0.136196 | + | 0.235899i | 0.926054 | − | 0.377392i | \(-0.123179\pi\) |
−0.789858 | + | 0.613290i | \(0.789846\pi\) | |||||||
\(524\) | −10.6038 | + | 1.82580i | −0.463231 | + | 0.0797606i | ||||
\(525\) | 6.30989 | − | 13.8876i | 0.275386 | − | 0.606104i | ||||
\(526\) | −3.42648 | − | 2.88692i | −0.149402 | − | 0.125876i | ||||
\(527\) | −9.60185 | − | 16.6309i | −0.418263 | − | 0.724453i | ||||
\(528\) | 0.371785 | + | 12.7949i | 0.0161799 | + | 0.556827i | ||||
\(529\) | 10.9594 | − | 18.9823i | 0.476498 | − | 0.825318i | ||||
\(530\) | 3.87184 | − | 21.7030i | 0.168182 | − | 0.942718i | ||||
\(531\) | 13.6266 | + | 30.2492i | 0.591344 | + | 1.31270i | ||||
\(532\) | −16.2790 | − | 24.8680i | −0.705786 | − | 1.07817i | ||||
\(533\) | 3.14780 | 0.136346 | ||||||||
\(534\) | 0.824614 | + | 23.4959i | 0.0356845 | + | 1.01677i | ||||
\(535\) | 8.11735 | + | 4.68656i | 0.350944 | + | 0.202618i | ||||
\(536\) | 8.55166 | + | 15.0204i | 0.369376 | + | 0.648784i | ||||
\(537\) | 1.93147 | + | 2.13571i | 0.0833491 | + | 0.0921626i | ||||
\(538\) | −16.9112 | − | 14.2483i | −0.729096 | − | 0.614286i | ||||
\(539\) | −12.3758 | + | 3.75526i | −0.533061 | + | 0.161751i | ||||
\(540\) | 9.30834 | − | 9.68811i | 0.400567 | − | 0.416910i | ||||
\(541\) | −1.99979 | + | 1.15458i | −0.0859776 | + | 0.0496392i | −0.542372 | − | 0.840138i | \(-0.682474\pi\) |
0.456395 | + | 0.889777i | \(0.349140\pi\) | |||||||
\(542\) | 6.90795 | + | 19.0988i | 0.296722 | + | 0.820366i | ||||
\(543\) | 2.37574 | − | 7.36652i | 0.101953 | − | 0.316128i | ||||
\(544\) | −25.1038 | + | 4.16669i | −1.07632 | + | 0.178646i | ||||
\(545\) | 15.9252i | 0.682159i | ||||||||
\(546\) | −14.5636 | − | 1.15899i | −0.623264 | − | 0.0496004i | ||||
\(547\) | 32.5136 | 1.39018 | 0.695090 | − | 0.718922i | \(-0.255364\pi\) | ||||
0.695090 | + | 0.718922i | \(0.255364\pi\) | |||||||
\(548\) | 16.7992 | + | 20.1848i | 0.717624 | + | 0.862250i | ||||
\(549\) | −26.3747 | − | 2.65557i | −1.12564 | − | 0.113337i | ||||
\(550\) | 2.95821 | + | 8.17875i | 0.126138 | + | 0.348743i | ||||
\(551\) | 3.70963 | + | 6.42528i | 0.158036 | + | 0.273726i | ||||
\(552\) | 4.83837 | + | 1.59268i | 0.205935 | + | 0.0677891i | ||||
\(553\) | 4.31401 | − | 5.81727i | 0.183450 | − | 0.247375i | ||||
\(554\) | 3.40067 | − | 4.03624i | 0.144480 | − | 0.171484i | ||||
\(555\) | 14.1934 | + | 15.6943i | 0.602478 | + | 0.666186i | ||||
\(556\) | −24.3511 | − | 8.97414i | −1.03272 | − | 0.380588i | ||||
\(557\) | 16.5711 | − | 28.7020i | 0.702140 | − | 1.21614i | −0.265574 | − | 0.964091i | \(-0.585561\pi\) |
0.967714 | − | 0.252052i | \(-0.0811053\pi\) | |||||||
\(558\) | 17.5631 | − | 4.42305i | 0.743507 | − | 0.187243i | ||||
\(559\) | 13.5840i | 0.574542i | ||||||||
\(560\) | 3.07284 | + | 13.3322i | 0.129851 | + | 0.563388i | ||||
\(561\) | −3.02376 | − | 14.0743i | −0.127663 | − | 0.594219i | ||||
\(562\) | 26.2261 | + | 4.67877i | 1.10628 | + | 0.197362i | ||||
\(563\) | 13.6362 | + | 7.87286i | 0.574697 | + | 0.331801i | 0.759023 | − | 0.651064i | \(-0.225677\pi\) |
−0.184326 | + | 0.982865i | \(0.559010\pi\) | |||||||
\(564\) | 5.76563 | − | 40.4851i | 0.242777 | − | 1.70473i | ||||
\(565\) | −8.14583 | + | 4.70300i | −0.342698 | + | 0.197857i | ||||
\(566\) | −23.3015 | − | 19.6323i | −0.979435 | − | 0.825205i | ||||
\(567\) | −15.9149 | − | 17.7120i | −0.668363 | − | 0.743835i | ||||
\(568\) | −20.0228 | + | 34.2023i | −0.840137 | + | 1.43510i | ||||
\(569\) | 20.1971 | − | 11.6608i | 0.846706 | − | 0.488846i | −0.0128319 | − | 0.999918i | \(-0.504085\pi\) |
0.859538 | + | 0.511072i | \(0.170751\pi\) | |||||||
\(570\) | −9.42856 | − | 15.0830i | −0.394919 | − | 0.631756i | ||||
\(571\) | 12.0030 | − | 20.7898i | 0.502311 | − | 0.870027i | −0.497686 | − | 0.867357i | \(-0.665817\pi\) |
0.999996 | − | 0.00267009i | \(-0.000849917\pi\) | |||||||
\(572\) | 6.40262 | − | 5.32871i | 0.267707 | − | 0.222804i | ||||
\(573\) | 8.20558 | + | 38.1935i | 0.342793 | + | 1.59556i | ||||
\(574\) | −5.08398 | + | 1.20411i | −0.212201 | + | 0.0502587i | ||||
\(575\) | 3.46101 | 0.144334 | ||||||||
\(576\) | 2.69223 | − | 23.8485i | 0.112176 | − | 0.993688i | ||||
\(577\) | −2.69246 | + | 4.66349i | −0.112089 | + | 0.194143i | −0.916612 | − | 0.399777i | \(-0.869087\pi\) |
0.804523 | + | 0.593921i | \(0.202421\pi\) | |||||||
\(578\) | 4.30406 | − | 1.55676i | 0.179025 | − | 0.0647526i | ||||
\(579\) | 7.45849 | − | 6.74524i | 0.309964 | − | 0.280322i | ||||
\(580\) | −0.579514 | − | 3.36568i | −0.0240630 | − | 0.139752i | ||||
\(581\) | −4.99244 | − | 11.5149i | −0.207121 | − | 0.477717i | ||||
\(582\) | 10.0413 | − | 18.8928i | 0.416223 | − | 0.783133i | ||||
\(583\) | 19.2933 | − | 11.1390i | 0.799046 | − | 0.461329i | ||||
\(584\) | −12.2774 | − | 21.5645i | −0.508043 | − | 0.892345i | ||||
\(585\) | −8.69918 | − | 0.875888i | −0.359667 | − | 0.0362135i | ||||
\(586\) | 1.02781 | − | 5.76125i | 0.0424586 | − | 0.237995i | ||||
\(587\) | − | 20.8871i | − | 0.862104i | −0.902327 | − | 0.431052i | \(-0.858143\pi\) | ||
0.902327 | − | 0.431052i | \(-0.141857\pi\) | |||||||
\(588\) | 23.9649 | − | 3.69907i | 0.988296 | − | 0.152547i | ||||
\(589\) | − | 23.9786i | − | 0.988023i | ||||||
\(590\) | −19.9048 | − | 3.55103i | −0.819466 | − | 0.146194i | ||||
\(591\) | −5.20699 | − | 1.67928i | −0.214187 | − | 0.0690763i | ||||
\(592\) | 37.1718 | + | 6.86311i | 1.52775 | + | 0.282072i | ||||
\(593\) | 31.7953 | − | 18.3570i | 1.30567 | − | 0.753832i | 0.324303 | − | 0.945953i | \(-0.394870\pi\) |
0.981371 | + | 0.192122i | \(0.0615368\pi\) | |||||||
\(594\) | 13.5479 | + | 0.885479i | 0.555876 | + | 0.0363317i | ||||
\(595\) | −6.12065 | − | 14.1170i | −0.250922 | − | 0.578742i | ||||
\(596\) | −2.32153 | − | 13.4829i | −0.0950937 | − | 0.552282i | ||||
\(597\) | −16.4135 | − | 18.1491i | −0.671761 | − | 0.742795i | ||||
\(598\) | −1.12748 | − | 3.11721i | −0.0461060 | − | 0.127472i | ||||
\(599\) | 12.0639 | − | 20.8953i | 0.492918 | − | 0.853760i | −0.507048 | − | 0.861918i | \(-0.669263\pi\) |
0.999967 | + | 0.00815783i | \(0.00259675\pi\) | |||||||
\(600\) | −3.32904 | − | 15.9636i | −0.135908 | − | 0.651712i | ||||
\(601\) | −30.7421 | −1.25399 | −0.626997 | − | 0.779021i | \(-0.715716\pi\) | ||||
−0.626997 | + | 0.779021i | \(0.715716\pi\) | |||||||
\(602\) | −5.19623 | − | 21.9394i | −0.211783 | − | 0.894185i | ||||
\(603\) | 16.7150 | − | 7.52972i | 0.680687 | − | 0.306634i | ||||
\(604\) | 4.67197 | + | 5.61353i | 0.190100 | + | 0.228411i | ||||
\(605\) | −4.90393 | + | 8.49385i | −0.199373 | + | 0.345324i | ||||
\(606\) | 8.88189 | + | 14.2085i | 0.360802 | + | 0.577179i | ||||
\(607\) | 3.75552 | − | 2.16825i | 0.152432 | − | 0.0880066i | −0.421844 | − | 0.906668i | \(-0.638617\pi\) |
0.574276 | + | 0.818662i | \(0.305284\pi\) | |||||||
\(608\) | −29.7477 | − | 11.1672i | −1.20643 | − | 0.452891i | ||||
\(609\) | −6.02439 | + | 0.586993i | −0.244120 | + | 0.0237861i | ||||
\(610\) | 10.4090 | − | 12.3544i | 0.421448 | − | 0.500216i | ||||
\(611\) | −23.0468 | + | 13.3061i | −0.932373 | + | 0.538306i | ||||
\(612\) | 1.89222 | + | 26.9245i | 0.0764883 | + | 1.08836i | ||||
\(613\) | 26.2945 | + | 15.1812i | 1.06203 | + | 0.613161i | 0.925992 | − | 0.377543i | \(-0.123231\pi\) |
0.136034 | + | 0.990704i | \(0.456564\pi\) | |||||||
\(614\) | −1.15036 | + | 6.44818i | −0.0464249 | + | 0.260228i | ||||
\(615\) | −3.05693 | + | 0.656759i | −0.123268 | + | 0.0264831i | ||||
\(616\) | −8.30247 | + | 11.0555i | −0.334516 | + | 0.445440i | ||||
\(617\) | 11.5709i | 0.465827i | 0.972497 | + | 0.232913i | \(0.0748259\pi\) | ||||
−0.972497 | + | 0.232913i | \(0.925174\pi\) | |||||||
\(618\) | 0.385644 | + | 10.9883i | 0.0155129 | + | 0.442013i | ||||
\(619\) | −8.62076 | + | 14.9316i | −0.346497 | + | 0.600151i | −0.985625 | − | 0.168950i | \(-0.945962\pi\) |
0.639127 | + | 0.769101i | \(0.279296\pi\) | |||||||
\(620\) | −3.81682 | + | 10.3568i | −0.153287 | + | 0.415940i | ||||
\(621\) | 2.16508 | − | 4.94996i | 0.0868818 | − | 0.198635i | ||||
\(622\) | 15.2468 | + | 12.8459i | 0.611341 | + | 0.515074i | ||||
\(623\) | −15.1264 | + | 20.3974i | −0.606028 | + | 0.817204i | ||||
\(624\) | −13.2934 | + | 8.19875i | −0.532161 | + | 0.328213i | ||||
\(625\) | −1.36164 | − | 2.35843i | −0.0544656 | − | 0.0943372i | ||||
\(626\) | 18.4967 | − | 6.69015i | 0.739276 | − | 0.267392i | ||||
\(627\) | 5.51717 | − | 17.1072i | 0.220334 | − | 0.683197i | ||||
\(628\) | 3.46558 | + | 4.16401i | 0.138292 | + | 0.166162i | ||||
\(629\) | −42.5107 | −1.69501 | ||||||||
\(630\) | 14.3850 | − | 1.91302i | 0.573113 | − | 0.0762166i | ||||
\(631\) | − | 4.91146i | − | 0.195522i | −0.995210 | − | 0.0977611i | \(-0.968832\pi\) | ||
0.995210 | − | 0.0977611i | \(-0.0311681\pi\) | |||||||
\(632\) | 0.0467052 | − | 7.74223i | 0.00185783 | − | 0.307969i | ||||
\(633\) | −3.22123 | − | 1.03886i | −0.128032 | − | 0.0412910i | ||||
\(634\) | 22.1923 | − | 8.02685i | 0.881371 | − | 0.318787i | ||||
\(635\) | −24.3762 | + | 14.0736i | −0.967339 | + | 0.558493i | ||||
\(636\) | −38.7573 | + | 15.5763i | −1.53683 | + | 0.617639i | ||||
\(637\) | −11.5183 | − | 10.7863i | −0.456372 | − | 0.427368i | ||||
\(638\) | 2.22370 | − | 2.63930i | 0.0880370 | − | 0.104491i | ||||
\(639\) | 34.1157 | + | 24.5594i | 1.34960 | + | 0.971554i | ||||
\(640\) | 11.0710 | + | 9.55844i | 0.437621 | + | 0.377831i | ||||
\(641\) | 34.7916 | + | 20.0870i | 1.37419 | + | 0.793387i | 0.991452 | − | 0.130471i | \(-0.0416488\pi\) |
0.382735 | + | 0.923858i | \(0.374982\pi\) | |||||||
\(642\) | −0.622899 | − | 17.7484i | −0.0245838 | − | 0.700475i | ||||
\(643\) | 12.5997 | 0.496884 | 0.248442 | − | 0.968647i | \(-0.420081\pi\) | ||||
0.248442 | + | 0.968647i | \(0.420081\pi\) | |||||||
\(644\) | 3.01339 | + | 4.60329i | 0.118744 | + | 0.181395i | ||||
\(645\) | −2.83418 | − | 13.1919i | −0.111596 | − | 0.519431i | ||||
\(646\) | 35.1791 | + | 6.27598i | 1.38410 | + | 0.246925i | ||||
\(647\) | −9.55483 | + | 16.5495i | −0.375639 | + | 0.650626i | −0.990422 | − | 0.138070i | \(-0.955910\pi\) |
0.614783 | + | 0.788696i | \(0.289243\pi\) | |||||||
\(648\) | −24.9138 | − | 5.22505i | −0.978708 | − | 0.205259i | ||||
\(649\) | −10.2160 | − | 17.6947i | −0.401015 | − | 0.694578i | ||||
\(650\) | −6.83763 | + | 8.11557i | −0.268194 | + | 0.318319i | ||||
\(651\) | 17.8105 | + | 8.09227i | 0.698048 | + | 0.317161i | ||||
\(652\) | −2.99898 | − | 17.4174i | −0.117449 | − | 0.682118i | ||||
\(653\) | −4.01546 | − | 6.95497i | −0.157137 | − | 0.272169i | 0.776698 | − | 0.629873i | \(-0.216893\pi\) |
−0.933835 | + | 0.357704i | \(0.883560\pi\) | |||||||
\(654\) | 25.5859 | − | 15.9941i | 1.00049 | − | 0.625417i | ||||
\(655\) | −6.02338 | − | 3.47760i | −0.235353 | − | 0.135881i | ||||
\(656\) | −3.62450 | + | 4.24962i | −0.141513 | + | 0.165920i | ||||
\(657\) | −23.9973 | + | 10.8102i | −0.936225 | + | 0.421748i | ||||
\(658\) | 32.1328 | − | 30.3065i | 1.25267 | − | 1.18147i | ||||
\(659\) | 5.21061i | 0.202977i | 0.994837 | + | 0.101488i | \(0.0323604\pi\) | ||||
−0.994837 | + | 0.101488i | \(0.967640\pi\) | |||||||
\(660\) | −5.10603 | + | 6.51074i | −0.198752 | + | 0.253430i | ||||
\(661\) | 33.5498 | + | 19.3700i | 1.30494 | + | 0.753406i | 0.981246 | − | 0.192757i | \(-0.0617431\pi\) |
0.323690 | + | 0.946163i | \(0.395076\pi\) | |||||||
\(662\) | −12.8241 | + | 4.63842i | −0.498424 | + | 0.180277i | ||||
\(663\) | 13.0274 | − | 11.7816i | 0.505944 | − | 0.457560i | ||||
\(664\) | −11.5789 | − | 6.77852i | −0.449347 | − | 0.263058i | ||||
\(665\) | 2.19497 | − | 19.0869i | 0.0851171 | − | 0.740157i | ||||
\(666\) | 10.9601 | − | 38.5658i | 0.424695 | − | 1.49440i | ||||
\(667\) | −0.686686 | − | 1.18937i | −0.0265886 | − | 0.0460528i | ||||
\(668\) | −22.2970 | − | 8.21715i | −0.862698 | − | 0.317931i | ||||
\(669\) | −1.91379 | + | 5.93416i | −0.0739915 | + | 0.229428i | ||||
\(670\) | −1.96221 | + | 10.9989i | −0.0758069 | + | 0.424924i | ||||
\(671\) | 16.3251 | 0.630223 | ||||||||
\(672\) | 18.3338 | − | 18.3268i | 0.707242 | − | 0.706972i | ||||
\(673\) | −33.1783 | −1.27893 | −0.639465 | − | 0.768821i | \(-0.720844\pi\) | ||||
−0.639465 | + | 0.768821i | \(0.720844\pi\) | |||||||
\(674\) | 7.32425 | − | 41.0550i | 0.282119 | − | 1.58138i | ||||
\(675\) | −17.1893 | + | 1.92071i | −0.661615 | + | 0.0739280i | ||||
\(676\) | −14.8592 | − | 5.47607i | −0.571507 | − | 0.210618i | ||||
\(677\) | 15.7573 | + | 27.2925i | 0.605602 | + | 1.04893i | 0.991956 | + | 0.126583i | \(0.0404011\pi\) |
−0.386354 | + | 0.922351i | \(0.626266\pi\) | |||||||
\(678\) | 15.7371 | + | 8.36401i | 0.604378 | + | 0.321218i | ||||
\(679\) | 21.2027 | − | 9.19274i | 0.813684 | − | 0.352785i | ||||
\(680\) | −14.1955 | − | 8.31037i | −0.544373 | − | 0.318688i | ||||
\(681\) | 6.77481 | + | 7.49120i | 0.259611 | + | 0.287063i | ||||
\(682\) | −10.4890 | + | 3.79383i | −0.401646 | + | 0.145273i | ||||
\(683\) | 19.4038 | + | 11.2028i | 0.742465 | + | 0.428663i | 0.822965 | − | 0.568092i | \(-0.192318\pi\) |
−0.0804996 | + | 0.996755i | \(0.525652\pi\) | |||||||
\(684\) | −14.7634 | + | 30.2964i | −0.564494 | + | 1.15841i | ||||
\(685\) | 16.9751i | 0.648585i | ||||||||
\(686\) | 22.7292 | + | 13.0148i | 0.867804 | + | 0.496907i | ||||
\(687\) | 22.0573 | − | 4.73884i | 0.841539 | − | 0.180798i | ||||
\(688\) | −18.3388 | − | 15.6412i | −0.699162 | − | 0.596315i | ||||
\(689\) | 23.5408 | + | 13.5913i | 0.896833 | + | 0.517787i | ||||
\(690\) | 1.74531 | + | 2.79199i | 0.0664428 | + | 0.106289i | ||||
\(691\) | −7.24483 | − | 12.5484i | −0.275606 | − | 0.477364i | 0.694682 | − | 0.719317i | \(-0.255545\pi\) |
−0.970288 | + | 0.241953i | \(0.922212\pi\) | |||||||
\(692\) | 2.12108 | + | 12.3187i | 0.0806312 | + | 0.468287i | ||||
\(693\) | 10.8447 | + | 9.87128i | 0.411957 | + | 0.374979i | ||||
\(694\) | −11.4594 | + | 13.6012i | −0.434995 | + | 0.516294i | ||||
\(695\) | −8.38773 | − | 14.5280i | −0.318165 | − | 0.551077i | ||||
\(696\) | −4.82539 | + | 4.31131i | −0.182906 | + | 0.163420i | ||||
\(697\) | 3.14071 | − | 5.43987i | 0.118963 | − | 0.206050i | ||||
\(698\) | −48.0337 | − | 8.56926i | −1.81810 | − | 0.324351i | ||||
\(699\) | −26.7037 | + | 5.73708i | −1.01003 | + | 0.216996i | ||||
\(700\) | 7.93899 | − | 15.7230i | 0.300066 | − | 0.594273i | ||||
\(701\) | −21.9950 | −0.830738 | −0.415369 | − | 0.909653i | \(-0.636348\pi\) | ||||
−0.415369 | + | 0.909653i | \(0.636348\pi\) | |||||||
\(702\) | 7.32958 | + | 14.8560i | 0.276637 | + | 0.560705i | ||||
\(703\) | −45.9694 | − | 26.5404i | −1.73377 | − | 1.00099i | ||||
\(704\) | −0.178321 | + | 14.7794i | −0.00672074 | + | 0.557021i | ||||
\(705\) | 19.6054 | − | 17.7305i | 0.738381 | − | 0.667769i | ||||
\(706\) | 9.58261 | − | 11.3736i | 0.360646 | − | 0.428050i | ||||
\(707\) | −2.06770 | + | 17.9802i | −0.0777639 | + | 0.676215i | ||||
\(708\) | 14.2857 | + | 35.5460i | 0.536888 | + | 1.33590i | ||||
\(709\) | −17.2122 | + | 9.93745i | −0.646416 | + | 0.373209i | −0.787082 | − | 0.616849i | \(-0.788409\pi\) |
0.140666 | + | 0.990057i | \(0.455076\pi\) | |||||||
\(710\) | −24.0909 | + | 8.71355i | −0.904115 | + | 0.327014i | ||||
\(711\) | −8.17071 | − | 0.822679i | −0.306426 | − | 0.0308529i | ||||
\(712\) | −0.163765 | + | 27.1470i | −0.00613735 | + | 1.01738i | ||||
\(713\) | 4.43866i | 0.166229i | ||||||||
\(714\) | −16.5337 | + | 24.0117i | −0.618760 | + | 0.898617i | ||||
\(715\) | 5.38452 | 0.201370 | ||||||||
\(716\) | 2.12702 | + | 2.55569i | 0.0794905 | + | 0.0955106i | ||||
\(717\) | 37.4951 | + | 12.0924i | 1.40028 | + | 0.451598i | ||||
\(718\) | 21.3556 | − | 7.72419i | 0.796982 | − | 0.288264i | ||||
\(719\) | 4.05138 | + | 7.01719i | 0.151091 | + | 0.261697i | 0.931629 | − | 0.363411i | \(-0.118388\pi\) |
−0.780538 | + | 0.625108i | \(0.785055\pi\) | |||||||
\(720\) | 11.1991 | − | 10.7356i | 0.417365 | − | 0.400093i | ||||
\(721\) | −7.07413 | + | 9.53918i | −0.263454 | + | 0.355258i | ||||
\(722\) | 13.5741 | + | 11.4366i | 0.505175 | + | 0.425626i | ||||
\(723\) | 17.5241 | − | 15.8482i | 0.651726 | − | 0.589402i | ||||
\(724\) | 3.09057 | − | 8.38618i | 0.114860 | − | 0.311670i | ||||
\(725\) | −2.19834 | + | 3.80763i | −0.0816442 | + | 0.141412i | ||||
\(726\) | 18.5716 | − | 0.651790i | 0.689258 | − | 0.0241902i | ||||
\(727\) | 1.56460i | 0.0580278i | 0.999579 | + | 0.0290139i | \(0.00923671\pi\) | ||||
−0.999579 | + | 0.0290139i | \(0.990763\pi\) | |||||||
\(728\) | −16.7474 | − | 2.02836i | −0.620699 | − | 0.0751762i | ||||
\(729\) | −8.00598 | + | 25.7857i | −0.296518 | + | 0.955027i | ||||
\(730\) | 2.81711 | − | 15.7909i | 0.104266 | − | 0.584446i | ||||
\(731\) | 23.4752 | + | 13.5534i | 0.868263 | + | 0.501292i | ||||
\(732\) | −30.3031 | − | 4.31556i | −1.12003 | − | 0.159508i | ||||
\(733\) | −10.2679 | + | 5.92818i | −0.379254 | + | 0.218962i | −0.677493 | − | 0.735529i | \(-0.736934\pi\) |
0.298240 | + | 0.954491i | \(0.403600\pi\) | |||||||
\(734\) | 21.9117 | − | 26.0069i | 0.808775 | − | 0.959934i | ||||
\(735\) | 13.4363 | + | 8.07175i | 0.495605 | + | 0.297731i | ||||
\(736\) | 5.50655 | + | 2.06715i | 0.202974 | + | 0.0761962i | ||||
\(737\) | −9.77767 | + | 5.64514i | −0.360165 | + | 0.207941i | ||||
\(738\) | 4.12533 | + | 4.25177i | 0.151855 | + | 0.156510i | ||||
\(739\) | −6.94639 | + | 12.0315i | −0.255527 | + | 0.442586i | −0.965039 | − | 0.262108i | \(-0.915582\pi\) |
0.709511 | + | 0.704694i | \(0.248916\pi\) | |||||||
\(740\) | 15.6305 | + | 18.7805i | 0.574587 | + | 0.690386i | ||||
\(741\) | 21.4429 | − | 4.60684i | 0.787724 | − | 0.169236i | ||||
\(742\) | −43.2196 | − | 12.9462i | −1.58664 | − | 0.475271i | ||||
\(743\) | −25.3287 | −0.929221 | −0.464611 | − | 0.885515i | \(-0.653806\pi\) | ||||
−0.464611 | + | 0.885515i | \(0.653806\pi\) | |||||||
\(744\) | 20.4729 | − | 4.26942i | 0.750575 | − | 0.156524i | ||||
\(745\) | 4.42182 | − | 7.65881i | 0.162003 | − | 0.280597i | ||||
\(746\) | −6.94954 | − | 19.2138i | −0.254441 | − | 0.703468i | ||||
\(747\) | −8.31435 | + | 11.5496i | −0.304206 | + | 0.422577i | ||||
\(748\) | −2.82061 | − | 16.3814i | −0.103132 | − | 0.598965i | ||||
\(749\) | 11.4262 | − | 15.4078i | 0.417506 | − | 0.562990i | ||||
\(750\) | 12.3780 | − | 23.2894i | 0.451980 | − | 0.850409i | ||||
\(751\) | 10.4902 | − | 6.05653i | 0.382793 | − | 0.221006i | −0.296240 | − | 0.955114i | \(-0.595733\pi\) |
0.679033 | + | 0.734108i | \(0.262399\pi\) | |||||||
\(752\) | 8.57341 | − | 46.4351i | 0.312640 | − | 1.69331i | ||||
\(753\) | 2.83407 | − | 8.78770i | 0.103279 | − | 0.320241i | ||||
\(754\) | 4.14554 | + | 0.739569i | 0.150972 | + | 0.0269335i | ||||
\(755\) | 4.72090i | 0.171811i | ||||||||
\(756\) | −17.5208 | − | 21.1901i | −0.637224 | − | 0.770678i | ||||
\(757\) | − | 21.6528i | − | 0.786983i | −0.919328 | − | 0.393491i | \(-0.871267\pi\) | ||
0.919328 | − | 0.393491i | \(-0.128733\pi\) | |||||||
\(758\) | −7.40279 | + | 41.4952i | −0.268881 | + | 1.50717i | ||||
\(759\) | −1.02128 | + | 3.16670i | −0.0370700 | + | 0.114944i | ||||
\(760\) | −10.1621 | − | 17.8491i | −0.368618 | − | 0.647455i | ||||
\(761\) | −33.4532 | + | 19.3142i | −1.21268 | + | 0.700141i | −0.963342 | − | 0.268276i | \(-0.913546\pi\) |
−0.249337 | + | 0.968417i | \(0.580213\pi\) | |||||||
\(762\) | 47.0927 | + | 25.0291i | 1.70599 | + | 0.906707i | ||||
\(763\) | 32.3778 | + | 3.72341i | 1.17216 | + | 0.134797i | ||||
\(764\) | 7.65428 | + | 44.4542i | 0.276922 | + | 1.60830i | ||||
\(765\) | −10.1933 | + | 14.1596i | −0.368539 | + | 0.511941i | ||||
\(766\) | 14.9695 | − | 5.41438i | 0.540869 | − | 0.195629i | ||||
\(767\) | 12.4652 | − | 21.5903i | 0.450091 | − | 0.779580i | ||||
\(768\) | 4.23797 | − | 27.3869i | 0.152925 | − | 0.988238i | ||||
\(769\) | 32.8604 | 1.18498 | 0.592489 | − | 0.805579i | \(-0.298145\pi\) | ||||
0.592489 | + | 0.805579i | \(0.298145\pi\) | |||||||
\(770\) | −8.69650 | + | 2.05972i | −0.313400 | + | 0.0742271i | ||||
\(771\) | 14.2093 | − | 3.05276i | 0.511736 | − | 0.109943i | ||||
\(772\) | 8.92518 | − | 7.42816i | 0.321224 | − | 0.267345i | ||||
\(773\) | 14.2511 | − | 24.6836i | 0.512576 | − | 0.887808i | −0.487318 | − | 0.873225i | \(-0.662025\pi\) |
0.999894 | − | 0.0145830i | \(-0.00464208\pi\) | |||||||
\(774\) | −18.3481 | + | 17.8024i | −0.659509 | + | 0.639896i | ||||
\(775\) | 12.3061 | − | 7.10490i | 0.442046 | − | 0.255216i | ||||
\(776\) | 12.4815 | − | 21.3206i | 0.448060 | − | 0.765364i | ||||
\(777\) | 35.2270 | − | 25.1876i | 1.26376 | − | 0.903600i | ||||
\(778\) | −29.1593 | − | 24.5676i | −1.04541 | − | 0.880792i | ||||
\(779\) | 6.79248 | − | 3.92164i | 0.243366 | − | 0.140507i | ||||
\(780\) | −9.99488 | − | 1.42341i | −0.357874 | − | 0.0509661i | ||||
\(781\) | −22.4199 | − | 12.9441i | −0.802246 | − | 0.463177i | ||||
\(782\) | −6.51195 | − | 1.16174i | −0.232867 | − | 0.0415437i | ||||
\(783\) | 4.07051 | + | 5.52600i | 0.145468 | + | 0.197483i | ||||
\(784\) | 27.8245 | − | 3.13031i | 0.993731 | − | 0.111797i | ||||
\(785\) | 3.50188i | 0.124987i | ||||||||
\(786\) | 0.462214 | + | 13.1700i | 0.0164866 | + | 0.469758i | ||||
\(787\) | −18.8558 | + | 32.6593i | −0.672138 | + | 1.16418i | 0.305159 | + | 0.952301i | \(0.401290\pi\) |
−0.977297 | + | 0.211875i | \(0.932043\pi\) | |||||||
\(788\) | −5.92774 | − | 2.18456i | −0.211167 | − | 0.0778216i | ||||
\(789\) | −4.06997 | + | 3.68076i | −0.144895 | + | 0.131038i | ||||
\(790\) | 3.22465 | − | 3.82733i | 0.114728 | − | 0.136170i | ||||
\(791\) | 7.65723 | + | 17.6611i | 0.272260 | + | 0.627956i | ||||
\(792\) | 15.5885 | + | 1.66460i | 0.553913 | + | 0.0591488i | ||||
\(793\) | 9.95957 | + | 17.2505i | 0.353675 | + | 0.612583i | ||||
\(794\) | 3.75018 | + | 10.3684i | 0.133089 | + | 0.367959i | ||||
\(795\) | −25.6970 | − | 8.28741i | −0.911379 | − | 0.293924i | ||||
\(796\) | −18.0753 | − | 21.7181i | −0.640663 | − | 0.769778i | ||||
\(797\) | −46.8382 | −1.65910 | −0.829548 | − | 0.558436i | \(-0.811402\pi\) | ||||
−0.829548 | + | 0.558436i | \(0.811402\pi\) | |||||||
\(798\) | −32.8700 | + | 15.6429i | −1.16359 | + | 0.553754i | ||||
\(799\) | 53.1045i | 1.87870i | ||||||||
\(800\) | −3.08315 | − | 18.5756i | −0.109006 | − | 0.656747i | ||||
\(801\) | 28.6494 | + | 2.88460i | 1.01228 | + | 0.101922i | ||||
\(802\) | −1.65757 | − | 4.58279i | −0.0585309 | − | 0.161824i | ||||
\(803\) | 14.0376 | − | 8.10460i | 0.495375 | − | 0.286005i | ||||
\(804\) | 19.6419 | − | 7.89392i | 0.692715 | − | 0.278397i | ||||
\(805\) | −0.406308 | + | 3.53315i | −0.0143205 | + | 0.124527i | ||||
\(806\) | −10.4080 | − | 8.76909i | −0.366607 | − | 0.308878i | ||||
\(807\) | −20.0872 | + | 18.1662i | −0.707101 | + | 0.639481i | ||||
\(808\) | 9.57290 | + | 16.8142i | 0.336774 | + | 0.591521i | ||||
\(809\) | −0.943718 | − | 0.544856i | −0.0331794 | − | 0.0191561i | 0.483319 | − | 0.875445i | \(-0.339431\pi\) |
−0.516498 | + | 0.856288i | \(0.672765\pi\) | |||||||
\(810\) | −10.2176 | − | 12.8980i | −0.359009 | − | 0.453189i | ||||
\(811\) | −10.7828 | −0.378634 | −0.189317 | − | 0.981916i | \(-0.560627\pi\) | ||||
−0.189317 | + | 0.981916i | \(0.560627\pi\) | |||||||
\(812\) | −6.97834 | + | 0.391304i | −0.244892 | + | 0.0137321i | ||||
\(813\) | 24.3193 | − | 5.22482i | 0.852916 | − | 0.183242i | ||||
\(814\) | −4.33651 | + | 24.3077i | −0.151995 | + | 0.851983i | ||||
\(815\) | 5.71215 | − | 9.89373i | 0.200088 | − | 0.346562i | ||||
\(816\) | 0.905231 | + | 31.1533i | 0.0316894 | + | 1.09058i | ||||
\(817\) | 16.9235 | + | 29.3123i | 0.592077 | + | 1.02551i | ||||
\(818\) | −21.1770 | − | 17.8423i | −0.740437 | − | 0.623842i | ||||
\(819\) | −3.81471 | + | 17.4817i | −0.133297 | + | 0.610860i | ||||
\(820\) | −3.55803 | + | 0.612633i | −0.124252 | + | 0.0213941i | ||||
\(821\) | 8.63020 | + | 14.9479i | 0.301196 | + | 0.521687i | 0.976407 | − | 0.215938i | \(-0.0692808\pi\) |
−0.675211 | + | 0.737625i | \(0.735947\pi\) | |||||||
\(822\) | 27.2727 | − | 17.0485i | 0.951246 | − | 0.594636i | ||||
\(823\) | −31.7271 | − | 18.3176i | −1.10594 | − | 0.638513i | −0.168163 | − | 0.985759i | \(-0.553783\pi\) |
−0.937774 | + | 0.347246i | \(0.887117\pi\) | |||||||
\(824\) | −0.0765874 | + | 12.6957i | −0.00266805 | + | 0.442277i | ||||
\(825\) | 10.4143 | − | 2.23744i | 0.362580 | − | 0.0778976i | ||||
\(826\) | −11.8736 | + | 39.6386i | −0.413134 | + | 1.37920i | ||||
\(827\) | 46.5193i | 1.61764i | 0.588060 | + | 0.808818i | \(0.299892\pi\) | ||||
−0.588060 | + | 0.808818i | \(0.700108\pi\) | |||||||
\(828\) | 2.73284 | − | 5.60814i | 0.0949728 | − | 0.194896i | ||||
\(829\) | −29.9474 | − | 17.2901i | −1.04011 | − | 0.600511i | −0.120249 | − | 0.992744i | \(-0.538369\pi\) |
−0.919866 | + | 0.392233i | \(0.871703\pi\) | |||||||
\(830\) | −2.94989 | − | 8.15575i | −0.102392 | − | 0.283090i | ||||
\(831\) | −4.33577 | − | 4.79425i | −0.150406 | − | 0.166311i | ||||
\(832\) | −15.7260 | + | 8.82818i | −0.545201 | + | 0.306062i | ||||
\(833\) | −30.1327 | + | 9.14339i | −1.04404 | + | 0.316800i | ||||
\(834\) | −14.9171 | + | 28.0668i | −0.516536 | + | 0.971874i | ||||
\(835\) | −7.68021 | − | 13.3025i | −0.265785 | − | 0.460353i | ||||
\(836\) | 7.17722 | − | 19.4752i | 0.248229 | − | 0.673564i | ||||
\(837\) | −2.46326 | − | 22.0448i | −0.0851427 | − | 0.761980i | ||||
\(838\) | −38.4520 | − | 6.85987i | −1.32830 | − | 0.236970i | ||||
\(839\) | −39.6383 | −1.36847 | −0.684233 | − | 0.729264i | \(-0.739863\pi\) | ||||
−0.684233 | + | 0.729264i | \(0.739863\pi\) | |||||||
\(840\) | 16.6872 | − | 1.52437i | 0.575762 | − | 0.0525958i | ||||
\(841\) | −27.2553 | −0.939839 | ||||||||
\(842\) | 13.0344 | + | 2.32536i | 0.449196 | + | 0.0801371i | ||||
\(843\) | 10.0146 | − | 31.0525i | 0.344920 | − | 1.06950i | ||||
\(844\) | −3.66710 | − | 1.35144i | −0.126227 | − | 0.0465186i | ||||
\(845\) | −5.11825 | − | 8.86506i | −0.176073 | − | 0.304967i | ||||
\(846\) | −48.1765 | − | 13.6914i | −1.65634 | − | 0.470720i | ||||
\(847\) | 16.1225 | + | 11.9562i | 0.553975 | + | 0.410820i | ||||
\(848\) | −45.4545 | + | 16.1313i | −1.56092 | + | 0.553950i | ||||
\(849\) | −27.6775 | + | 25.0307i | −0.949889 | + | 0.859051i | ||||
\(850\) | 7.20271 | + | 19.9138i | 0.247051 | + | 0.683037i | ||||
\(851\) | 8.50934 | + | 4.91287i | 0.291696 | + | 0.168411i | ||||
\(852\) | 38.1946 | + | 29.9539i | 1.30852 | + | 1.02620i | ||||
\(853\) | 10.8810i | 0.372557i | 0.982497 | + | 0.186279i | \(0.0596427\pi\) | ||||
−0.982497 | + | 0.186279i | \(0.940357\pi\) | |||||||
\(854\) | −22.6844 | − | 24.0513i | −0.776244 | − | 0.823020i | ||||
\(855\) | −19.8628 | + | 8.94772i | −0.679292 | + | 0.306006i | ||||
\(856\) | 0.123705 | − | 20.5064i | 0.00422816 | − | 0.700893i | ||||
\(857\) | −39.8564 | − | 23.0111i | −1.36147 | − | 0.786045i | −0.371650 | − | 0.928373i | \(-0.621208\pi\) |
−0.989820 | + | 0.142328i | \(0.954541\pi\) | |||||||
\(858\) | −5.40781 | − | 8.65093i | −0.184620 | − | 0.295338i | ||||
\(859\) | 11.4205 | + | 19.7808i | 0.389661 | + | 0.674912i | 0.992404 | − | 0.123023i | \(-0.0392589\pi\) |
−0.602743 | + | 0.797935i | \(0.705926\pi\) | |||||||
\(860\) | −2.64376 | − | 15.3543i | −0.0901515 | − | 0.523579i | ||||
\(861\) | 0.620539 | + | 6.36868i | 0.0211479 | + | 0.217044i | ||||
\(862\) | −9.14861 | − | 7.70800i | −0.311603 | − | 0.262535i | ||||
\(863\) | 2.49061 | + | 4.31386i | 0.0847813 | + | 0.146846i | 0.905298 | − | 0.424777i | \(-0.139647\pi\) |
−0.820517 | + | 0.571623i | \(0.806314\pi\) | |||||||
\(864\) | −28.4957 | − | 7.21070i | −0.969444 | − | 0.245313i | ||||
\(865\) | −4.04001 | + | 6.99750i | −0.137364 | + | 0.237922i | ||||
\(866\) | −2.71203 | + | 15.2019i | −0.0921586 | + | 0.516581i | ||||
\(867\) | −1.17745 | − | 5.48054i | −0.0399883 | − | 0.186129i | ||||
\(868\) | 20.1643 | + | 10.1816i | 0.684422 | + | 0.345585i | ||||
\(869\) | 5.05741 | 0.171561 | ||||||||
\(870\) | −4.18019 | + | 0.146708i | −0.141722 | + | 0.00497386i | ||||
\(871\) | −11.9303 | − | 6.88795i | −0.404242 | − | 0.233389i | ||||
\(872\) | 30.2782 | − | 17.2384i | 1.02535 | − | 0.583766i | ||||
\(873\) | −21.2666 | − | 15.3095i | −0.719765 | − | 0.518148i | ||||
\(874\) | −6.31646 | − | 5.32182i | −0.213658 | − | 0.180013i | ||||
\(875\) | 26.1368 | − | 11.3320i | 0.883585 | − | 0.383091i | ||||
\(876\) | −28.1994 | + | 11.3331i | −0.952769 | + | 0.382910i | ||||
\(877\) | −25.7564 | + | 14.8705i | −0.869731 | + | 0.502139i | −0.867259 | − | 0.497857i | \(-0.834120\pi\) |
−0.00247223 | + | 0.999997i | \(0.500787\pi\) | |||||||
\(878\) | 11.2530 | + | 31.1119i | 0.379771 | + | 1.04998i | ||||
\(879\) | −6.82150 | − | 2.19997i | −0.230083 | − | 0.0742030i | ||||
\(880\) | −6.19996 | + | 7.26927i | −0.209000 | + | 0.245047i | ||||
\(881\) | − | 34.5022i | − | 1.16241i | −0.813757 | − | 0.581205i | \(-0.802581\pi\) | ||
0.813757 | − | 0.581205i | \(-0.197419\pi\) | |||||||
\(882\) | −0.526089 | − | 29.6938i | −0.0177143 | − | 0.999843i | ||||
\(883\) | 34.9022 | 1.17455 | 0.587276 | − | 0.809387i | \(-0.300200\pi\) | ||||
0.587276 | + | 0.809387i | \(0.300200\pi\) | |||||||
\(884\) | 15.5892 | − | 12.9744i | 0.524323 | − | 0.436378i | ||||
\(885\) | −7.60074 | + | 23.5678i | −0.255496 | + | 0.792224i | ||||
\(886\) | 2.95044 | + | 8.15726i | 0.0991219 | + | 0.274049i | ||||
\(887\) | −20.1225 | − | 34.8531i | −0.675646 | − | 1.17025i | −0.976280 | − | 0.216513i | \(-0.930532\pi\) |
0.300634 | − | 0.953740i | \(-0.402802\pi\) | |||||||
\(888\) | 14.4753 | − | 43.9742i | 0.485760 | − | 1.47568i | ||||
\(889\) | 22.9140 | + | 52.8503i | 0.768512 | + | 1.77254i | ||||
\(890\) | −11.3068 | + | 13.4200i | −0.379003 | + | 0.449838i | ||||
\(891\) | 3.31483 | − | 16.2943i | 0.111051 | − | 0.545880i | ||||
\(892\) | −2.48963 | + | 6.75555i | −0.0833591 | + | 0.226193i | ||||
\(893\) | −33.1544 | + | 57.4251i | −1.10947 | + | 1.92166i | ||||
\(894\) | −16.7458 | + | 0.587711i | −0.560064 | + | 0.0196560i | ||||
\(895\) | 2.14930i | 0.0718431i | ||||||||
\(896\) | 22.0220 | − | 20.2739i | 0.735702 | − | 0.677305i | ||||
\(897\) | −3.96926 | + | 0.852766i | −0.132530 | + | 0.0284730i | ||||
\(898\) | −49.9336 | − | 8.90820i | −1.66630 | − | 0.297271i | ||||
\(899\) | −4.88320 | − | 2.81931i | −0.162864 | − | 0.0940294i | ||||
\(900\) | −19.9228 | + | 1.40015i | −0.664094 | + | 0.0466716i | ||||
\(901\) | 46.9757 | − | 27.1214i | 1.56499 | − | 0.903546i | ||||
\(902\) | −2.79014 | − | 2.35078i | −0.0929015 | − | 0.0782725i | ||||
\(903\) | −27.4834 | + | 2.67788i | −0.914591 | + | 0.0891142i | ||||
\(904\) | 17.7593 | + | 10.3967i | 0.590664 | + | 0.345788i | ||||
\(905\) | 5.00324 | − | 2.88862i | 0.166313 | − | 0.0960210i | ||||
\(906\) | 7.58475 | − | 4.74132i | 0.251986 | − | 0.157520i | ||||
\(907\) | −3.79336 | + | 6.57028i | −0.125956 | + | 0.218163i | −0.922106 | − | 0.386937i | \(-0.873533\pi\) |
0.796150 | + | 0.605099i | \(0.206867\pi\) | |||||||
\(908\) | 7.46073 | + | 8.96432i | 0.247593 | + | 0.297491i | ||||
\(909\) | 18.7111 | − | 8.42892i | 0.620608 | − | 0.279570i | ||||
\(910\) | −7.48201 | − | 7.93288i | −0.248026 | − | 0.262972i | ||||
\(911\) | 34.9091 | 1.15659 | 0.578294 | − | 0.815828i | \(-0.303719\pi\) | ||||
0.578294 | + | 0.815828i | \(0.303719\pi\) | |||||||
\(912\) | −18.4708 | + | 34.2531i | −0.611631 | + | 1.13423i | ||||
\(913\) | 4.38211 | − | 7.59004i | 0.145027 | − | 0.251194i | ||||
\(914\) | −4.04253 | + | 1.46216i | −0.133715 | + | 0.0483640i | ||||
\(915\) | −13.2712 | − | 14.6746i | −0.438734 | − | 0.485127i | ||||
\(916\) | 25.6730 | − | 4.42045i | 0.848259 | − | 0.146056i | ||||
\(917\) | −8.47870 | + | 11.4332i | −0.279991 | + | 0.377557i | ||||
\(918\) | 32.9866 | + | 2.15598i | 1.08872 | + | 0.0711580i | ||||
\(919\) | 14.5134 | − | 8.37933i | 0.478754 | − | 0.276409i | −0.241143 | − | 0.970490i | \(-0.577522\pi\) |
0.719897 | + | 0.694081i | \(0.244189\pi\) | |||||||
\(920\) | 1.88110 | + | 3.30402i | 0.0620179 | + | 0.108930i | ||||
\(921\) | 7.63484 | + | 2.46227i | 0.251577 | + | 0.0811347i | ||||
\(922\) | 7.63913 | − | 42.8200i | 0.251581 | − | 1.41020i | ||||
\(923\) | − | 31.5877i | − | 1.03972i | ||||||
\(924\) | 12.0433 | + | 11.9034i | 0.396196 | + | 0.391594i | ||||
\(925\) | − | 31.4559i | − | 1.03426i | ||||||
\(926\) | −13.2839 | − | 2.36987i | −0.436537 | − | 0.0778786i | ||||
\(927\) | 13.3984 | + | 1.34903i | 0.440060 | + | 0.0443080i | ||||
\(928\) | −5.77179 | + | 4.74504i | −0.189468 | + | 0.155764i | ||||
\(929\) | 18.0406 | − | 10.4157i | 0.591892 | − | 0.341729i | −0.173953 | − | 0.984754i | \(-0.555654\pi\) |
0.765845 | + | 0.643025i | \(0.222321\pi\) | |||||||
\(930\) | 11.9372 | + | 6.34443i | 0.391436 | + | 0.208042i | ||||
\(931\) | −38.2928 | − | 8.92528i | −1.25499 | − | 0.292514i | ||||
\(932\) | −31.0810 | + | 5.35162i | −1.01809 | + | 0.175298i | ||||
\(933\) | 18.1101 | − | 16.3782i | 0.592899 | − | 0.536200i | ||||
\(934\) | 2.42410 | + | 6.70206i | 0.0793190 | + | 0.219298i | ||||
\(935\) | 5.37240 | − | 9.30527i | 0.175696 | − | 0.304315i | ||||
\(936\) | 7.75123 | + | 17.4877i | 0.253357 | + | 0.571602i | ||||
\(937\) | 43.8738 | 1.43329 | 0.716647 | − | 0.697437i | \(-0.245676\pi\) | ||||
0.716647 | + | 0.697437i | \(0.245676\pi\) | |||||||
\(938\) | 21.9033 | + | 6.56104i | 0.715169 | + | 0.214226i | ||||
\(939\) | −5.06009 | − | 23.5526i | −0.165130 | − | 0.768609i | ||||
\(940\) | 23.4607 | − | 19.5256i | 0.765204 | − | 0.636856i | ||||
\(941\) | 25.3064 | − | 43.8320i | 0.824966 | − | 1.42888i | −0.0769795 | − | 0.997033i | \(-0.524528\pi\) |
0.901945 | − | 0.431850i | \(-0.142139\pi\) | |||||||
\(942\) | 5.62622 | − | 3.51702i | 0.183312 | − | 0.114591i | ||||
\(943\) | −1.25735 | + | 0.725930i | −0.0409449 | + | 0.0236395i | ||||
\(944\) | 14.7947 | + | 41.6883i | 0.481526 | + | 1.35684i | ||||
\(945\) | 0.0572043 | − | 17.7730i | 0.00186086 | − | 0.578156i | ||||
\(946\) | 10.1446 | − | 12.0406i | 0.329828 | − | 0.391473i | ||||
\(947\) | 31.6220 | − | 18.2569i | 1.02758 | − | 0.593271i | 0.111286 | − | 0.993788i | \(-0.464503\pi\) |
0.916289 | + | 0.400517i | \(0.131170\pi\) | |||||||
\(948\) | −9.38771 | − | 1.33694i | −0.304899 | − | 0.0434216i | ||||
\(949\) | 17.1280 | + | 9.88887i | 0.555999 | + | 0.321006i | ||||
\(950\) | −4.64392 | + | 26.0308i | −0.150669 | + | 0.844550i | ||||
\(951\) | −6.07110 | − | 28.2584i | −0.196869 | − | 0.916342i | ||||
\(952\) | −20.2150 | + | 26.9182i | −0.655172 | + | 0.872425i | ||||
\(953\) | 19.5458i | 0.633151i | 0.948567 | + | 0.316576i | \(0.102533\pi\) | ||||
−0.948567 | + | 0.316576i | \(0.897467\pi\) | |||||||
\(954\) | 12.4934 | + | 49.6089i | 0.404487 | + | 1.60615i | ||||
\(955\) | −14.5791 | + | 25.2517i | −0.471768 | + | 0.817125i | ||||
\(956\) | 42.6852 | + | 15.7308i | 1.38054 | + | 0.508771i | ||||
\(957\) | −2.83516 | − | 3.13496i | −0.0916478 | − | 0.101339i | ||||
\(958\) | 29.4838 | + | 24.8411i | 0.952579 | + | 0.802578i | ||||
\(959\) | 34.5125 | + | 3.96889i | 1.11447 | + | 0.128162i | ||||
\(960\) | 13.4302 | − | 11.8544i | 0.433457 | − | 0.382601i | ||||
\(961\) | −6.38814 | − | 11.0646i | −0.206069 | − | 0.356922i | ||||
\(962\) | −28.3312 | + | 10.2472i | −0.913434 | + | 0.330384i | ||||
\(963\) | −21.6413 | − | 2.17898i | −0.697380 | − | 0.0702166i | ||||
\(964\) | 20.9701 | − | 17.4528i | 0.675402 | − | 0.562116i | ||||
\(965\) | 7.50596 | 0.241625 | ||||||||
\(966\) | 6.08453 | − | 2.89564i | 0.195766 | − | 0.0931658i | ||||
\(967\) | 43.0521i | 1.38446i | 0.721675 | + | 0.692232i | \(0.243372\pi\) | ||||
−0.721675 | + | 0.692232i | \(0.756628\pi\) | |||||||
\(968\) | 21.4575 | + | 0.129443i | 0.689670 | + | 0.00416045i | ||||
\(969\) | 13.4333 | − | 41.6531i | 0.431540 | − | 1.33809i | ||||
\(970\) | 15.0174 | − | 5.43173i | 0.482181 | − | 0.174402i | ||||
\(971\) | −27.2617 | + | 15.7395i | −0.874868 | + | 0.505105i | −0.868963 | − | 0.494877i | \(-0.835213\pi\) |
−0.00590513 | + | 0.999983i | \(0.501880\pi\) | |||||||
\(972\) | −10.4605 | + | 29.3697i | −0.335521 | + | 0.942033i | ||||
\(973\) | −31.4983 | + | 13.6566i | −1.00979 | + | 0.437809i | ||||
\(974\) | −0.952763 | + | 1.13083i | −0.0305285 | + | 0.0362342i | ||||
\(975\) | 8.71782 | + | 9.63966i | 0.279194 | + | 0.308716i | ||||
\(976\) | −34.7566 | − | 6.41718i | −1.11253 | − | 0.205409i | ||||
\(977\) | −35.4465 | − | 20.4650i | −1.13403 | − | 0.654734i | −0.189087 | − | 0.981960i | \(-0.560553\pi\) |
−0.944946 | + | 0.327226i | \(0.893886\pi\) | |||||||
\(978\) | −21.6324 | + | 0.759212i | −0.691729 | + | 0.0242769i | ||||
\(979\) | −17.7331 | −0.566752 | ||||||||
\(980\) | 15.1187 | + | 9.95027i | 0.482949 | + | 0.317850i | ||||
\(981\) | −15.1784 | − | 33.6940i | −0.484609 | − | 1.07577i | ||||
\(982\) | −40.8064 | − | 7.27991i | −1.30219 | − | 0.232311i | ||||
\(983\) | −4.13945 | + | 7.16974i | −0.132028 | + | 0.228679i | −0.924458 | − | 0.381283i | \(-0.875482\pi\) |
0.792430 | + | 0.609963i | \(0.208816\pi\) | |||||||
\(984\) | 4.55770 | + | 5.10116i | 0.145294 | + | 0.162619i | ||||
\(985\) | −2.04181 | − | 3.53652i | −0.0650574 | − | 0.112683i | ||||
\(986\) | 5.41430 | − | 6.42623i | 0.172427 | − | 0.204653i | ||||
\(987\) | −31.4644 | − | 44.0056i | −1.00152 | − | 1.40071i | ||||
\(988\) | 24.9578 | − | 4.29732i | 0.794014 | − | 0.136716i | ||||
\(989\) | −3.13268 | − | 5.42596i | −0.0996135 | − | 0.172536i | ||||
\(990\) | 7.05665 | + | 7.27294i | 0.224275 | + | 0.231149i | ||||
\(991\) | 27.2946 | + | 15.7586i | 0.867043 | + | 0.500587i | 0.866364 | − | 0.499412i | \(-0.166451\pi\) |
0.000678305 | 1.00000i | \(0.499784\pi\) | ||||||||
\(992\) | 23.8228 | − | 3.95406i | 0.756374 | − | 0.125542i | ||||
\(993\) | 3.50826 | + | 16.3295i | 0.111331 | + | 0.518201i | ||||
\(994\) | 12.0831 | + | 51.0170i | 0.383253 | + | 1.61816i | ||||
\(995\) | − | 18.2646i | − | 0.579028i | ||||||
\(996\) | −10.1406 | + | 12.9304i | −0.321318 | + | 0.409716i | ||||
\(997\) | 46.6045 | + | 26.9071i | 1.47598 | + | 0.852157i | 0.999633 | − | 0.0271004i | \(-0.00862738\pi\) |
0.476347 | + | 0.879258i | \(0.341961\pi\) | |||||||
\(998\) | 38.2343 | − | 13.8292i | 1.21029 | − | 0.437754i | ||||
\(999\) | −44.9884 | − | 19.6777i | −1.42337 | − | 0.622574i |
(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 | 168.2.v.a.11.16 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.11.13 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.431.25 | 56 | |||
7.2 | even | 3 | inner | 168.2.v.a.107.4 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.11.25 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.431.26 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.431.6 | 56 | |||
21.2 | odd | 6 | inner | 168.2.v.a.107.25 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.431.5 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.11.4 | ✓ | 56 | |
28.23 | odd | 6 | 672.2.bd.a.527.5 | 56 | |||
56.37 | even | 6 | 672.2.bd.a.527.6 | 56 | |||
56.51 | odd | 6 | inner | 168.2.v.a.107.13 | yes | 56 | |
84.23 | even | 6 | 672.2.bd.a.527.26 | 56 | |||
168.107 | even | 6 | inner | 168.2.v.a.107.16 | yes | 56 | |
168.149 | odd | 6 | 672.2.bd.a.527.25 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.4 | ✓ | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.11.13 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.11.16 | yes | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.11.25 | yes | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.107.4 | yes | 56 | 7.2 | even | 3 | inner | |
168.2.v.a.107.13 | yes | 56 | 56.51 | odd | 6 | inner | |
168.2.v.a.107.16 | yes | 56 | 168.107 | even | 6 | inner | |
168.2.v.a.107.25 | yes | 56 | 21.2 | odd | 6 | inner | |
672.2.bd.a.431.5 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.431.6 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.431.25 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.431.26 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.527.5 | 56 | 28.23 | odd | 6 | |||
672.2.bd.a.527.6 | 56 | 56.37 | even | 6 | |||
672.2.bd.a.527.25 | 56 | 168.149 | odd | 6 | |||
672.2.bd.a.527.26 | 56 | 84.23 | even | 6 |