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 | 107.13 | ||
Character | \(\chi\) | \(=\) | 168.107 |
Dual form | 168.2.v.a.11.13 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 | ||||
\(3\) | 1.28463 | − | 1.16178i | 0.741680 | − | 0.670753i | ||||
\(4\) | −1.87662 | + | 0.691593i | −0.938310 | + | 0.345796i | ||||
\(5\) | 0.646402 | − | 1.11960i | 0.289080 | − | 0.500700i | −0.684511 | − | 0.729003i | \(-0.739984\pi\) |
0.973590 | + | 0.228302i | \(0.0733175\pi\) | |||||||
\(6\) | −1.93654 | − | 1.49994i | −0.790588 | − | 0.612349i | ||||
\(7\) | −2.42742 | − | 1.05244i | −0.917478 | − | 0.397786i | ||||
\(8\) | 1.42896 | + | 2.44091i | 0.505215 | + | 0.862993i | ||||
\(9\) | 0.300539 | − | 2.98491i | 0.100180 | − | 0.994969i | ||||
\(10\) | −1.71929 | − | 0.621859i | −0.543688 | − | 0.196649i | ||||
\(11\) | 1.60004 | − | 0.923782i | 0.482430 | − | 0.278531i | −0.238999 | − | 0.971020i | \(-0.576819\pi\) |
0.721428 | + | 0.692489i | \(0.243486\pi\) | |||||||
\(12\) | −1.60728 | + | 3.06866i | −0.463982 | + | 0.885845i | ||||
\(13\) | 2.25432i | 0.625235i | 0.949879 | + | 0.312617i | \(0.101206\pi\) | ||||
−0.949879 | + | 0.312617i | \(0.898794\pi\) | |||||||
\(14\) | −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 | \(-0.482998\pi\) |
0.891484 | + | 0.453052i | \(0.149665\pi\) | |||||||
\(18\) | −4.23033 | + | 0.322958i | −0.997099 | + | 0.0761219i | ||||
\(19\) | −2.80851 | + | 4.86448i | −0.644317 | + | 1.11599i | 0.340142 | + | 0.940374i | \(0.389525\pi\) |
−0.984459 | + | 0.175615i | \(0.943809\pi\) | |||||||
\(20\) | −0.438742 | + | 2.54811i | −0.0981056 | + | 0.569775i | ||||
\(21\) | −4.34104 | + | 1.46812i | −0.947292 | + | 0.320371i | ||||
\(22\) | −1.68353 | − | 1.99818i | −0.358930 | − | 0.426013i | ||||
\(23\) | −0.519880 | + | 0.900459i | −0.108402 | + | 0.187759i | −0.915123 | − | 0.403174i | \(-0.867907\pi\) |
0.806721 | + | 0.590933i | \(0.201240\pi\) | |||||||
\(24\) | 4.67149 | + | 1.47553i | 0.953564 | + | 0.301191i | ||||
\(25\) | 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 | \(-0.460865\pi\) | ||||
0.122638 | + | 0.992451i | \(0.460865\pi\) | |||||||
\(30\) | −2.93112 | + | 1.19858i | −0.535146 | + | 0.218830i | ||||
\(31\) | 3.69700 | − | 2.13446i | 0.664000 | − | 0.383361i | −0.129799 | − | 0.991540i | \(-0.541433\pi\) |
0.793800 | + | 0.608179i | \(0.208100\pi\) | |||||||
\(32\) | −4.36974 | − | 3.59240i | −0.772468 | − | 0.635053i | ||||
\(33\) | 0.982223 | − | 3.04561i | 0.170983 | − | 0.530172i | ||||
\(34\) | −4.09909 | − | 4.86521i | −0.702988 | − | 0.834376i | ||||
\(35\) | −2.74740 | + | 2.03744i | −0.464396 | + | 0.344390i | ||||
\(36\) | 1.50034 | + | 5.80939i | 0.250057 | + | 0.968231i | ||||
\(37\) | 8.18394 | + | 4.72500i | 1.34543 | + | 0.776786i | 0.987599 | − | 0.157000i | \(-0.0501822\pi\) |
0.357834 | + | 0.933785i | \(0.383516\pi\) | |||||||
\(38\) | 7.47005 | + | 2.70188i | 1.21180 | + | 0.438303i | ||||
\(39\) | 2.61902 | + | 2.89596i | 0.419378 | + | 0.463724i | ||||
\(40\) | 3.65653 | − | 0.0220581i | 0.578149 | − | 0.00348770i | ||||
\(41\) | 1.39634i | 0.218072i | 0.994038 | + | 0.109036i | \(0.0347764\pi\) | ||||
−0.994038 | + | 0.109036i | \(0.965224\pi\) | |||||||
\(42\) | 3.12218 | + | 5.67908i | 0.481763 | + | 0.876302i | ||||
\(43\) | −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 | ||||
\(45\) | −3.14763 | − | 2.26593i | −0.469222 | − | 0.337785i | ||||
\(46\) | 1.38277 | + | 0.500142i | 0.203879 | + | 0.0737418i | ||||
\(47\) | 5.90249 | − | 10.2234i | 0.860966 | − | 1.49124i | −0.0100312 | − | 0.999950i | \(-0.503193\pi\) |
0.870997 | − | 0.491288i | \(-0.163474\pi\) | |||||||
\(48\) | 0.893991 | − | 6.87028i | 0.129036 | − | 0.991640i | ||||
\(49\) | 4.78472 | + | 5.10944i | 0.683532 | + | 0.729921i | ||||
\(50\) | 3.60001 | − | 3.03313i | 0.509119 | − | 0.428949i | ||||
\(51\) | 2.39154 | − | 7.41551i | 0.334882 | − | 1.03838i | ||||
\(52\) | −1.55907 | − | 4.23049i | −0.216204 | − | 0.586664i | ||||
\(53\) | 6.02901 | + | 10.4425i | 0.828148 | + | 1.43439i | 0.899489 | + | 0.436943i | \(0.143939\pi\) |
−0.0713414 | + | 0.997452i | \(0.522728\pi\) | |||||||
\(54\) | −5.05920 | + | 5.32959i | −0.688469 | + | 0.725265i | ||||
\(55\) | − | 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 | \(-0.922468\pi\) |
−0.276378 | + | 0.961049i | \(0.589134\pi\) | |||||||
\(60\) | 2.39672 | + | 3.78309i | 0.309415 | + | 0.488395i | ||||
\(61\) | −7.65220 | − | 4.41800i | −0.979764 | − | 0.565667i | −0.0775652 | − | 0.996987i | \(-0.524715\pi\) |
−0.902199 | + | 0.431320i | \(0.858048\pi\) | |||||||
\(62\) | −3.88991 | − | 4.61693i | −0.494019 | − | 0.586351i | ||||
\(63\) | −3.87098 | + | 6.92932i | −0.487698 | + | 0.873012i | ||||
\(64\) | −3.91612 | + | 6.97596i | −0.489515 | + | 0.871995i | ||||
\(65\) | 2.52393 | + | 1.45719i | 0.313055 | + | 0.180743i | ||||
\(66\) | −4.48415 | − | 0.611027i | −0.551961 | − | 0.0752123i | ||||
\(67\) | 3.05545 | + | 5.29219i | 0.373283 | + | 0.646544i | 0.990068 | − | 0.140587i | \(-0.0448989\pi\) |
−0.616786 | + | 0.787131i | \(0.711566\pi\) | |||||||
\(68\) | −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 | \(-0.812497\pi\) | ||||
−0.831464 | + | 0.555578i | \(0.812497\pi\) | |||||||
\(72\) | 7.71536 | − | 3.53174i | 0.909264 | − | 0.416219i | ||||
\(73\) | −4.38664 | − | 7.59788i | −0.513417 | − | 0.889264i | −0.999879 | − | 0.0155626i | \(-0.995046\pi\) |
0.486462 | − | 0.873702i | \(-0.338287\pi\) | |||||||
\(74\) | 4.54561 | − | 12.5675i | 0.528416 | − | 1.46095i | ||||
\(75\) | 5.48711 | + | 1.76962i | 0.633597 | + | 0.204338i | ||||
\(76\) | 1.90626 | − | 11.0711i | 0.218663 | − | 1.26995i | ||||
\(77\) | −4.85619 | + | 0.558456i | −0.553414 | + | 0.0636420i | ||||
\(78\) | 3.38135 | − | 4.36556i | 0.382862 | − | 0.494303i | ||||
\(79\) | −2.37061 | − | 1.36867i | −0.266714 | − | 0.153987i | 0.360679 | − | 0.932690i | \(-0.382545\pi\) |
−0.627393 | + | 0.778702i | \(0.715878\pi\) | |||||||
\(80\) | −0.938904 | − | 5.08526i | −0.104973 | − | 0.568550i | ||||
\(81\) | −8.81935 | − | 1.79416i | −0.979928 | − | 0.199352i | ||||
\(82\) | 1.94403 | − | 0.346817i | 0.214682 | − | 0.0382996i | ||||
\(83\) | 4.74366i | 0.520685i | 0.965516 | + | 0.260342i | \(0.0838354\pi\) | ||||
−0.965516 | + | 0.260342i | \(0.916165\pi\) | |||||||
\(84\) | 7.13113 | − | 5.75734i | 0.778070 | − | 0.628178i | ||||
\(85\) | − | 5.81566i | − | 0.630797i | ||||||
\(86\) | 1.49666 | + | 8.38928i | 0.161389 | + | 0.904639i | ||||
\(87\) | 1.69681 | − | 1.53454i | 0.181917 | − | 0.164520i | ||||
\(88\) | 4.54127 | + | 2.58550i | 0.484101 | + | 0.275616i | ||||
\(89\) | −8.31219 | − | 4.79904i | −0.881090 | − | 0.508697i | −0.0100723 | − | 0.999949i | \(-0.503206\pi\) |
−0.871018 | + | 0.491252i | \(0.836539\pi\) | |||||||
\(90\) | −2.37291 | + | 4.94504i | −0.250126 | + | 0.521253i | ||||
\(91\) | 2.37254 | − | 5.47217i | 0.248710 | − | 0.573639i | ||||
\(92\) | 0.352866 | − | 2.04936i | 0.0367888 | − | 0.213661i | ||||
\(93\) | 2.26949 | − | 7.03709i | 0.235336 | − | 0.729712i | ||||
\(94\) | −15.6994 | − | 5.67839i | −1.61927 | − | 0.585681i | ||||
\(95\) | 3.63085 | + | 6.28882i | 0.372517 | + | 0.645219i | ||||
\(96\) | −9.78707 | + | 0.461768i | −0.998889 | + | 0.0471290i | ||||
\(97\) | −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 | \(-0.277207\pi\) |
−0.984495 | + | 0.175413i | \(0.943874\pi\) | |||||||
\(102\) | −10.9181 | − | 1.48774i | −1.08105 | − | 0.147308i | ||||
\(103\) | 3.88733 | + | 2.24435i | 0.383030 | + | 0.221143i | 0.679136 | − | 0.734013i | \(-0.262355\pi\) |
−0.296106 | + | 0.955155i | \(0.595688\pi\) | |||||||
\(104\) | −5.50259 | + | 3.22134i | −0.539574 | + | 0.315878i | ||||
\(105\) | −1.16234 | + | 5.80923i | −0.113433 | + | 0.566922i | ||||
\(106\) | 13.0410 | − | 10.9875i | 1.26665 | − | 1.06720i | ||||
\(107\) | 6.27888 | + | 3.62511i | 0.607002 | + | 0.350453i | 0.771791 | − | 0.635876i | \(-0.219361\pi\) |
−0.164789 | + | 0.986329i | \(0.552694\pi\) | |||||||
\(108\) | 8.67661 | + | 5.71983i | 0.834907 | + | 0.550391i | ||||
\(109\) | −10.6680 | + | 6.15916i | −1.02181 | + | 0.589941i | −0.914627 | − | 0.404299i | \(-0.867516\pi\) |
−0.107180 | + | 0.994240i | \(0.534182\pi\) | |||||||
\(110\) | −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 | \(-0.111178\pi\) | |||||||
\(114\) | 12.7352 | − | 5.20764i | 1.19276 | − | 0.487740i | ||||
\(115\) | 0.672102 | + | 1.16412i | 0.0626739 | + | 0.108554i | ||||
\(116\) | −2.47874 | + | 0.913494i | −0.230145 | + | 0.0848158i | ||||
\(117\) | 6.72893 | + | 0.677511i | 0.622089 | + | 0.0626359i | ||||
\(118\) | 10.0771 | + | 11.9605i | 0.927669 | + | 1.10105i | ||||
\(119\) | −11.8240 | + | 1.35974i | −1.08390 | + | 0.124647i | ||||
\(120\) | 4.67166 | − | 4.27642i | 0.426462 | − | 0.390382i | ||||
\(121\) | −3.79325 | + | 6.57011i | −0.344841 | + | 0.597282i | ||||
\(122\) | −4.25026 | + | 11.7510i | −0.384801 | + | 1.06388i | ||||
\(123\) | 1.62224 | + | 1.79378i | 0.146272 | + | 0.161740i | ||||
\(124\) | −5.46168 | + | 6.56239i | −0.490473 | + | 0.589320i | ||||
\(125\) | 10.7673 | 0.963058 | ||||||||
\(126\) | 10.6087 | + | 3.66823i | 0.945096 | + | 0.326792i | ||||
\(127\) | 21.7722i | 1.93197i | 0.258595 | + | 0.965986i | \(0.416740\pi\) | ||||
−0.258595 | + | 0.965986i | \(0.583260\pi\) | |||||||
\(128\) | 10.6848 | + | 3.71949i | 0.944414 | + | 0.328760i | ||||
\(129\) | −7.74088 | + | 7.00062i | −0.681547 | + | 0.616370i | ||||
\(130\) | 1.40187 | − | 3.87583i | 0.122952 | − | 0.339933i | ||||
\(131\) | −4.65916 | − | 2.68997i | −0.407073 | − | 0.235024i | 0.282458 | − | 0.959280i | \(-0.408850\pi\) |
−0.689531 | + | 0.724256i | \(0.742183\pi\) | |||||||
\(132\) | 0.263062 | + | 6.39474i | 0.0228966 | + | 0.556591i | ||||
\(133\) | 11.9370 | − | 8.85234i | 1.03507 | − | 0.767595i | ||||
\(134\) | 6.60906 | − | 5.56835i | 0.570936 | − | 0.481032i | ||||
\(135\) | −6.67605 | + | 0.745974i | −0.574583 | + | 0.0642033i | ||||
\(136\) | 11.0572 | + | 6.29524i | 0.948145 | + | 0.539812i | ||||
\(137\) | 11.3713 | − | 6.56523i | 0.971517 | − | 0.560905i | 0.0718185 | − | 0.997418i | \(-0.477120\pi\) |
0.899698 | + | 0.436512i | \(0.143786\pi\) | |||||||
\(138\) | 2.35740 | − | 0.963980i | 0.200675 | − | 0.0820594i | ||||
\(139\) | 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 | ||||
\(144\) | −6.83330 | − | 9.86438i | −0.569442 | − | 0.822032i | ||||
\(145\) | 0.853802 | − | 1.47883i | 0.0709044 | − | 0.122810i | ||||
\(146\) | −9.48848 | + | 7.99434i | −0.785272 | + | 0.661617i | ||||
\(147\) | 12.0826 | + | 1.00495i | 0.996559 | + | 0.0828866i | ||||
\(148\) | −18.6259 | − | 3.20707i | −1.53104 | − | 0.263620i | ||||
\(149\) | −3.42033 | + | 5.92419i | −0.280205 | + | 0.485328i | −0.971435 | − | 0.237306i | \(-0.923736\pi\) |
0.691230 | + | 0.722634i | \(0.257069\pi\) | |||||||
\(150\) | 1.10086 | − | 8.07886i | 0.0898845 | − | 0.659636i | ||||
\(151\) | −3.16245 | + | 1.82584i | −0.257356 | + | 0.148585i | −0.623128 | − | 0.782120i | \(-0.714138\pi\) |
0.365772 | + | 0.930705i | \(0.380805\pi\) | |||||||
\(152\) | −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 | ||||||
\(156\) | −6.91772 | − | 3.62332i | −0.553861 | − | 0.290097i | ||||
\(157\) | −2.34584 | + | 1.35437i | −0.187219 | + | 0.108091i | −0.590680 | − | 0.806906i | \(-0.701140\pi\) |
0.403461 | + | 0.914997i | \(0.367807\pi\) | |||||||
\(158\) | −1.31671 | + | 3.64038i | −0.104751 | + | 0.289613i | ||||
\(159\) | 19.8770 | + | 6.41042i | 1.57635 | + | 0.508379i | ||||
\(160\) | −6.84666 | + | 2.57023i | −0.541276 | + | 0.203194i | ||||
\(161\) | 2.20965 | − | 1.63865i | 0.174145 | − | 0.129143i | ||||
\(162\) | −0.307381 | + | 12.7242i | −0.0241501 | + | 0.999708i | ||||
\(163\) | 4.41842 | − | 7.65293i | 0.346078 | − | 0.599424i | −0.639471 | − | 0.768815i | \(-0.720847\pi\) |
0.985549 | + | 0.169391i | \(0.0541801\pi\) | |||||||
\(164\) | −0.965700 | − | 2.62040i | −0.0754085 | − | 0.204619i | ||||
\(165\) | −2.77495 | − | 3.06838i | −0.216030 | − | 0.238873i | ||||
\(166\) | 6.60428 | − | 1.17821i | 0.512591 | − | 0.0914469i | ||||
\(167\) | −11.8815 | −0.919417 | −0.459709 | − | 0.888070i | \(-0.652046\pi\) | ||||
−0.459709 | + | 0.888070i | \(0.652046\pi\) | |||||||
\(168\) | −9.78675 | − | 8.49820i | −0.755064 | − | 0.655651i | ||||
\(169\) | 7.91806 | 0.609081 | ||||||||
\(170\) | −8.09674 | + | 1.44447i | −0.620992 | + | 0.110786i | ||||
\(171\) | 13.6760 | + | 9.84512i | 1.04583 | + | 0.752875i | ||||
\(172\) | 11.3081 | − | 4.16738i | 0.862234 | − | 0.317760i | ||||
\(173\) | 3.12500 | − | 5.41265i | 0.237589 | − | 0.411516i | −0.722433 | − | 0.691441i | \(-0.756976\pi\) |
0.960022 | + | 0.279925i | \(0.0903095\pi\) | |||||||
\(174\) | −2.55788 | − | 1.98121i | −0.193913 | − | 0.150195i | ||||
\(175\) | −1.00614 | − | 8.74915i | −0.0760571 | − | 0.661373i | ||||
\(176\) | 2.47168 | − | 6.96468i | 0.186310 | − | 0.524982i | ||||
\(177\) | −5.87927 | + | 18.2300i | −0.441913 | + | 1.37025i | ||||
\(178\) | −4.61684 | + | 12.7645i | −0.346046 | + | 0.956736i | ||||
\(179\) | 1.43978 | − | 0.831255i | 0.107614 | − | 0.0621309i | −0.445227 | − | 0.895418i | \(-0.646877\pi\) |
0.552841 | + | 0.833287i | \(0.313544\pi\) | |||||||
\(180\) | 7.47401 | + | 2.07541i | 0.557080 | + | 0.154692i | ||||
\(181\) | − | 4.46877i | − | 0.332161i | −0.986112 | − | 0.166081i | \(-0.946889\pi\) | ||
0.986112 | − | 0.166081i | \(-0.0531112\pi\) | |||||||
\(182\) | −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 | ||||
\(186\) | −10.3609 | − | 1.41182i | −0.759701 | − | 0.103520i | ||||
\(187\) | 4.15562 | − | 7.19775i | 0.303889 | − | 0.526352i | ||||
\(188\) | −4.00628 | + | 23.2676i | −0.292188 | + | 1.69696i | ||||
\(189\) | 3.07756 | + | 13.3988i | 0.223860 | + | 0.974621i | ||||
\(190\) | 7.85368 | − | 6.61698i | 0.569766 | − | 0.480046i | ||||
\(191\) | 11.2771 | − | 19.5325i | 0.815982 | − | 1.41332i | −0.0926380 | − | 0.995700i | \(-0.529530\pi\) |
0.908620 | − | 0.417623i | \(-0.137137\pi\) | |||||||
\(192\) | 3.07376 | + | 13.5112i | 0.221829 | + | 0.975085i | ||||
\(193\) | −2.90298 | − | 5.02810i | −0.208961 | − | 0.361931i | 0.742427 | − | 0.669927i | \(-0.233675\pi\) |
−0.951387 | + | 0.307997i | \(0.900341\pi\) | |||||||
\(194\) | 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 | \(-0.535894\pi\) | ||||
−0.112525 | + | 0.993649i | \(0.535894\pi\) | |||||||
\(198\) | −6.47035 | + | 4.42465i | −0.459827 | + | 0.314446i | ||||
\(199\) | 12.2352 | − | 7.06397i | 0.867327 | − | 0.500751i | 0.000867851 | − | 1.00000i | \(-0.499724\pi\) |
0.866459 | + | 0.499248i | \(0.166390\pi\) | |||||||
\(200\) | −4.65817 | + | 8.18177i | −0.329382 | + | 0.578538i | ||||
\(201\) | 10.0735 | + | 3.24874i | 0.710528 | + | 0.229149i | ||||
\(202\) | −7.39832 | + | 6.23332i | −0.520544 | + | 0.438575i | ||||
\(203\) | −3.20627 | − | 1.39013i | −0.225036 | − | 0.0975677i | ||||
\(204\) | 0.640509 | + | 15.5700i | 0.0448446 | + | 1.09012i | ||||
\(205\) | 1.56334 | + | 0.902597i | 0.109189 | + | 0.0630401i | ||||
\(206\) | 2.15914 | − | 5.96951i | 0.150434 | − | 0.415915i | ||||
\(207\) | 2.53154 | + | 1.82242i | 0.175954 | + | 0.126667i | ||||
\(208\) | 5.85156 | + | 6.86078i | 0.405733 | + | 0.475710i | ||||
\(209\) | 10.3778i | 0.717848i | ||||||||
\(210\) | 8.37649 | + | 0.175378i | 0.578032 | + | 0.0121022i | ||||
\(211\) | 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 | ||||
\(213\) | −18.0003 | + | 16.2789i | −1.23336 | + | 1.11541i | ||||
\(214\) | 3.48748 | − | 9.64205i | 0.238399 | − | 0.659117i | ||||
\(215\) | −3.89507 | + | 6.74646i | −0.265642 | + | 0.460105i | ||||
\(216\) | 5.80828 | − | 13.5005i | 0.395203 | − | 0.918594i | ||||
\(217\) | −11.2206 | + | 1.29035i | −0.761702 | + | 0.0875948i | ||||
\(218\) | 11.2246 | + | 13.3225i | 0.760229 | + | 0.902315i | ||||
\(219\) | −14.4623 | − | 4.66415i | −0.977269 | − | 0.315174i | ||||
\(220\) | 1.65190 | + | 4.48237i | 0.111371 | + | 0.302202i | ||||
\(221\) | 5.07051 | + | 8.78238i | 0.341079 | + | 0.590766i | ||||
\(222\) | −8.76127 | − | 21.4256i | −0.588018 | − | 1.43799i | ||||
\(223\) | 3.59985i | 0.241064i | 0.992709 | + | 0.120532i | \(0.0384600\pi\) | ||||
−0.992709 | + | 0.120532i | \(0.961540\pi\) | |||||||
\(224\) | 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 | \(-0.604675\pi\) |
0.658143 | + | 0.752893i | \(0.271342\pi\) | |||||||
\(228\) | −10.4134 | − | 16.4369i | −0.689642 | − | 1.08856i | ||||
\(229\) | −11.2803 | − | 6.51269i | −0.745424 | − | 0.430371i | 0.0786144 | − | 0.996905i | \(-0.474950\pi\) |
−0.824038 | + | 0.566535i | \(0.808284\pi\) | |||||||
\(230\) | 1.45378 | − | 1.22486i | 0.0958597 | − | 0.0807649i | ||||
\(231\) | −5.58960 | + | 6.35923i | −0.367768 | + | 0.418406i | ||||
\(232\) | 1.88745 | + | 3.22409i | 0.123917 | + | 0.211672i | ||||
\(233\) | −13.6565 | − | 7.88458i | −0.894667 | − | 0.516536i | −0.0192009 | − | 0.999816i | \(-0.506112\pi\) |
−0.875466 | + | 0.483279i | \(0.839446\pi\) | |||||||
\(234\) | −0.728050 | − | 9.53650i | −0.0475941 | − | 0.623421i | ||||
\(235\) | −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 | \(-0.236876\pi\) | ||||
0.735651 | + | 0.677361i | \(0.236876\pi\) | |||||||
\(240\) | −7.11409 | − | 5.44187i | −0.459213 | − | 0.351271i | ||||
\(241\) | −6.82067 | − | 11.8137i | −0.439358 | − | 0.760990i | 0.558282 | − | 0.829651i | \(-0.311461\pi\) |
−0.997640 | + | 0.0686608i | \(0.978127\pi\) | |||||||
\(242\) | 10.0893 | + | 3.64923i | 0.648562 | + | 0.234582i | ||||
\(243\) | −13.4140 | + | 7.94130i | −0.860509 | + | 0.509435i | ||||
\(244\) | 17.4157 | + | 2.99870i | 1.11493 | + | 0.191972i | ||||
\(245\) | 8.81339 | − | 2.05422i | 0.563067 | − | 0.131240i | ||||
\(246\) | 2.09443 | − | 2.70407i | 0.133536 | − | 0.172405i | ||||
\(247\) | −10.9661 | − | 6.33127i | −0.697755 | − | 0.402849i | ||||
\(248\) | 10.4929 | + | 5.97398i | 0.666301 | + | 0.379348i | ||||
\(249\) | 5.51109 | + | 6.09384i | 0.349251 | + | 0.386182i | ||||
\(250\) | −2.67434 | − | 14.9906i | −0.169140 | − | 0.948089i | ||||
\(251\) | 5.33090i | 0.336484i | 0.985746 | + | 0.168242i | \(0.0538089\pi\) | ||||
−0.985746 | + | 0.168242i | \(0.946191\pi\) | |||||||
\(252\) | 2.47209 | − | 15.6808i | 0.155727 | − | 0.987800i | ||||
\(253\) | 1.92102i | 0.120774i | ||||||||
\(254\) | 30.3120 | − | 5.40769i | 1.90194 | − | 0.339308i | ||||
\(255\) | −6.75651 | − | 7.47096i | −0.423109 | − | 0.467850i | ||||
\(256\) | 2.52455 | − | 15.7996i | 0.157784 | − | 0.987474i | ||||
\(257\) | 7.26678 | + | 4.19547i | 0.453289 | + | 0.261707i | 0.709218 | − | 0.704989i | \(-0.249048\pi\) |
−0.255929 | + | 0.966696i | \(0.582381\pi\) | |||||||
\(258\) | 11.6691 | + | 9.03832i | 0.726488 | + | 0.562701i | ||||
\(259\) | −14.8931 | − | 20.0827i | −0.925410 | − | 1.24788i | ||||
\(260\) | −5.74425 | − | 0.989063i | −0.356243 | − | 0.0613391i | ||||
\(261\) | 0.396969 | − | 3.94263i | 0.0245717 | − | 0.244043i | ||||
\(262\) | −2.58784 | + | 7.15476i | −0.159877 | + | 0.442023i | ||||
\(263\) | −1.58410 | − | 2.74375i | −0.0976800 | − | 0.169187i | 0.813044 | − | 0.582202i | \(-0.197809\pi\) |
−0.910724 | + | 0.413016i | \(0.864475\pi\) | |||||||
\(264\) | 8.83763 | − | 1.95454i | 0.543918 | − | 0.120294i | ||||
\(265\) | 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 | \(-0.324830\pi\) |
−0.999643 | + | 0.0267117i | \(0.991496\pi\) | |||||||
\(270\) | 2.69674 | + | 9.10933i | 0.164118 | + | 0.554376i | ||||
\(271\) | −12.4371 | − | 7.18058i | −0.755502 | − | 0.436189i | 0.0721766 | − | 0.997392i | \(-0.477005\pi\) |
−0.827678 | + | 0.561203i | \(0.810339\pi\) | |||||||
\(272\) | 6.01809 | − | 16.9577i | 0.364901 | − | 1.02821i | ||||
\(273\) | −3.30962 | − | 9.78607i | −0.200307 | − | 0.592280i | ||||
\(274\) | −11.9647 | − | 14.2009i | −0.722813 | − | 0.857905i | ||||
\(275\) | 5.32598 | + | 3.07496i | 0.321169 | + | 0.185427i | ||||
\(276\) | −1.92761 | − | 3.04262i | −0.116028 | − | 0.183144i | ||||
\(277\) | 3.23202 | − | 1.86601i | 0.194193 | − | 0.112117i | −0.399751 | − | 0.916624i | \(-0.630903\pi\) |
0.593944 | + | 0.804506i | \(0.297570\pi\) | |||||||
\(278\) | −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 | \(0.810080\pi\) | |||||||
\(282\) | −26.7649 | + | 10.9446i | −1.59383 | + | 0.651742i | ||||
\(283\) | 10.7726 | + | 18.6586i | 0.640362 | + | 1.10914i | 0.985352 | + | 0.170534i | \(0.0545492\pi\) |
−0.344989 | + | 0.938607i | \(0.612117\pi\) | |||||||
\(284\) | 26.2953 | − | 9.69066i | 1.56034 | − | 0.575035i | ||||
\(285\) | 11.9705 | + | 3.86055i | 0.709072 | + | 0.228679i | ||||
\(286\) | 4.50453 | − | 3.79521i | 0.266358 | − | 0.224415i | ||||
\(287\) | 1.46957 | − | 3.38951i | 0.0867460 | − | 0.200076i | ||||
\(288\) | −12.0363 | + | 11.9636i | −0.709244 | + | 0.704963i | ||||
\(289\) | 1.61820 | − | 2.80280i | 0.0951880 | − | 0.164870i | ||||
\(290\) | −2.27094 | − | 0.821386i | −0.133354 | − | 0.0482334i | ||||
\(291\) | −11.2208 | + | 10.1477i | −0.657775 | + | 0.594871i | ||||
\(292\) | 13.4867 | + | 11.2246i | 0.789249 | + | 0.656868i | ||||
\(293\) | −4.13814 | −0.241753 | −0.120876 | − | 0.992668i | \(-0.538570\pi\) | ||||
−0.120876 | + | 0.992668i | \(0.538570\pi\) | |||||||
\(294\) | −1.60191 | − | 17.0714i | −0.0934255 | − | 0.995626i | ||||
\(295\) | 14.2970i | 0.832405i | ||||||||
\(296\) | 0.161238 | + | 26.7282i | 0.00937180 | + | 1.55354i | ||||
\(297\) | −8.79566 | − | 3.84717i | −0.510376 | − | 0.223235i | ||||
\(298\) | 9.09737 | + | 3.29047i | 0.526997 | + | 0.190612i | ||||
\(299\) | −2.02992 | − | 1.17197i | −0.117393 | − | 0.0677770i | ||||
\(300\) | −11.5211 | + | 0.473945i | −0.665169 | + | 0.0273632i | ||||
\(301\) | 14.6271 | + | 6.34179i | 0.843091 | + | 0.365535i | ||||
\(302\) | 3.32747 | + | 3.94937i | 0.191474 | + | 0.227260i | ||||
\(303\) | −11.2765 | − | 3.63671i | −0.647815 | − | 0.208924i | ||||
\(304\) | 4.07939 | + | 22.0946i | 0.233969 | + | 1.26722i | ||||
\(305\) | −9.89279 | + | 5.71160i | −0.566459 | + | 0.327046i | ||||
\(306\) | −15.7541 | + | 10.7732i | −0.900604 | + | 0.615864i | ||||
\(307\) | −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 | \(-0.0357811\pi\) |
−0.593989 | + | 0.804473i | \(0.702448\pi\) | |||||||
\(312\) | −3.32630 | + | 10.5310i | −0.188315 | + | 0.596201i | ||||
\(313\) | 6.95418 | − | 12.0450i | 0.393074 | − | 0.680824i | −0.599780 | − | 0.800165i | \(-0.704745\pi\) |
0.992853 | + | 0.119342i | \(0.0380784\pi\) | |||||||
\(314\) | 2.46825 | + | 2.92956i | 0.139292 | + | 0.165325i | ||||
\(315\) | 5.25586 | + | 8.81308i | 0.296134 | + | 0.496561i | ||||
\(316\) | 5.39529 | + | 0.928978i | 0.303509 | + | 0.0522591i | ||||
\(317\) | −8.34364 | + | 14.4516i | −0.468625 | + | 0.811683i | −0.999357 | − | 0.0358569i | \(-0.988584\pi\) |
0.530731 | + | 0.847540i | \(0.321917\pi\) | |||||||
\(318\) | 3.98783 | − | 29.2655i | 0.223627 | − | 1.64113i | ||||
\(319\) | 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 | ||||||||
\(324\) | 17.7914 | − | 2.73244i | 0.988411 | − | 0.151802i | ||||
\(325\) | −6.49853 | + | 3.75193i | −0.360473 | + | 0.208119i | ||||
\(326\) | −11.7521 | − | 4.25067i | −0.650888 | − | 0.235423i | ||||
\(327\) | −6.54881 | + | 20.3061i | −0.362150 | + | 1.12293i | ||||
\(328\) | −3.40835 | + | 1.99532i | −0.188195 | + | 0.110173i | ||||
\(329\) | −25.0874 | + | 18.6045i | −1.38311 | + | 1.02570i | ||||
\(330\) | −3.58267 | + | 4.62549i | −0.197219 | + | 0.254625i | ||||
\(331\) | −4.82148 | + | 8.35105i | −0.265012 | + | 0.459015i | −0.967567 | − | 0.252615i | \(-0.918709\pi\) |
0.702554 | + | 0.711630i | \(0.252043\pi\) | |||||||
\(332\) | −3.28068 | − | 8.90205i | −0.180051 | − | 0.488563i | ||||
\(333\) | 16.5633 | − | 23.0083i | 0.907663 | − | 1.26085i | ||||
\(334\) | 2.95107 | + | 16.5418i | 0.161475 | + | 0.905126i | ||||
\(335\) | 7.90019 | 0.431633 | ||||||||
\(336\) | −9.40068 | + | 15.7362i | −0.512849 | + | 0.858479i | ||||
\(337\) | 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 | ||||
\(339\) | −8.45271 | − | 9.34652i | −0.459088 | − | 0.507633i | ||||
\(340\) | 4.02207 | + | 10.9138i | 0.218127 | + | 0.591883i | ||||
\(341\) | 3.94356 | − | 6.83044i | 0.213556 | − | 0.369889i | ||||
\(342\) | 10.3099 | − | 21.4854i | 0.557496 | − | 1.16180i | ||||
\(343\) | −6.23712 | − | 17.4384i | −0.336773 | − | 0.941586i | ||||
\(344\) | −8.61062 | − | 14.7084i | −0.464253 | − | 0.793024i | ||||
\(345\) | 2.21585 | + | 0.714621i | 0.119297 | + | 0.0384739i | ||||
\(346\) | −8.31184 | − | 3.00635i | −0.446847 | − | 0.161622i | ||||
\(347\) | 10.8911 | − | 6.28800i | 0.584667 | − | 0.337558i | −0.178319 | − | 0.983973i | \(-0.557066\pi\) |
0.762986 | + | 0.646415i | \(0.223733\pi\) | |||||||
\(348\) | −2.12298 | + | 4.05325i | −0.113804 | + | 0.217277i | ||||
\(349\) | 34.5012i | 1.84681i | 0.383830 | + | 0.923404i | \(0.374605\pi\) | ||||
−0.383830 | + | 0.923404i | \(0.625395\pi\) | |||||||
\(350\) | −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 | \(-0.756956\pi\) |
0.237652 | + | 0.971350i | \(0.423622\pi\) | |||||||
\(354\) | 26.8407 | + | 3.65742i | 1.42657 | + | 0.194389i | ||||
\(355\) | −9.05743 | + | 15.6879i | −0.480719 | + | 0.832629i | ||||
\(356\) | 18.9178 | + | 3.25733i | 1.00264 | + | 0.172638i | ||||
\(357\) | −13.6097 | + | 15.4836i | −0.720300 | + | 0.819478i | ||||
\(358\) | −1.51491 | − | 1.79804i | −0.0800652 | − | 0.0950293i | ||||
\(359\) | −8.02903 | + | 13.9067i | −0.423756 | + | 0.733967i | −0.996303 | − | 0.0859047i | \(-0.972622\pi\) |
0.572547 | + | 0.819872i | \(0.305955\pi\) | |||||||
\(360\) | 1.03309 | − | 10.9210i | 0.0544486 | − | 0.575589i | ||||
\(361\) | −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 | ||||||||
\(366\) | 8.19202 | + | 20.0335i | 0.428204 | + | 1.04717i | ||||
\(367\) | 20.8250 | − | 12.0233i | 1.08706 | − | 0.627613i | 0.154266 | − | 0.988029i | \(-0.450699\pi\) |
0.932791 | + | 0.360417i | \(0.117366\pi\) | |||||||
\(368\) | 0.755130 | + | 4.08991i | 0.0393639 | + | 0.213201i | ||||
\(369\) | 4.16795 | + | 0.419655i | 0.216975 | + | 0.0218464i | ||||
\(370\) | −11.1323 | − | 13.2129i | −0.578742 | − | 0.686907i | ||||
\(371\) | −3.64473 | − | 31.6936i | −0.189225 | − | 1.64545i | ||||
\(372\) | 0.607823 | + | 14.7755i | 0.0315142 | + | 0.766074i | ||||
\(373\) | 12.5120 | + | 7.22381i | 0.647847 | + | 0.374035i | 0.787631 | − | 0.616147i | \(-0.211307\pi\) |
−0.139784 | + | 0.990182i | \(0.544641\pi\) | |||||||
\(374\) | −11.0531 | − | 3.99784i | −0.571542 | − | 0.206724i | ||||
\(375\) | 13.8320 | − | 12.5092i | 0.714281 | − | 0.645975i | ||||
\(376\) | 33.3889 | − | 0.201420i | 1.72190 | − | 0.0103874i | ||||
\(377\) | 2.97762i | 0.153355i | ||||||||
\(378\) | 17.8899 | − | 7.61263i | 0.920156 | − | 0.391551i | ||||
\(379\) | −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 | ||||
\(381\) | 25.2945 | + | 27.9692i | 1.29588 | + | 1.43291i | ||||
\(382\) | −29.9947 | − | 10.8489i | −1.53466 | − | 0.555080i | ||||
\(383\) | −5.62806 | + | 9.74809i | −0.287581 | + | 0.498104i | −0.973232 | − | 0.229826i | \(-0.926184\pi\) |
0.685651 | + | 0.727930i | \(0.259518\pi\) | |||||||
\(384\) | 18.0472 | − | 7.63523i | 0.920970 | − | 0.389634i | ||||
\(385\) | −2.51380 | + | 5.79798i | −0.128115 | + | 0.295492i | ||||
\(386\) | −6.27926 | + | 5.29048i | −0.319606 | + | 0.269278i | ||||
\(387\) | −1.81098 | + | 17.9864i | −0.0920574 | + | 0.914300i | ||||
\(388\) | 16.3916 | − | 6.04083i | 0.832159 | − | 0.306677i | ||||
\(389\) | −13.4807 | − | 23.3492i | −0.683498 | − | 1.18385i | −0.973906 | − | 0.226950i | \(-0.927124\pi\) |
0.290408 | − | 0.956903i | \(-0.406209\pi\) | |||||||
\(390\) | −2.70198 | − | 6.60766i | −0.136820 | − | 0.334592i | ||||
\(391\) | 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 | ||||
\(396\) | 7.76721 | + | 7.90925i | 0.390317 | + | 0.397455i | ||||
\(397\) | −6.75185 | − | 3.89818i | −0.338866 | − | 0.195644i | 0.320905 | − | 0.947111i | \(-0.396013\pi\) |
−0.659770 | + | 0.751467i | \(0.729346\pi\) | |||||||
\(398\) | −12.8736 | − | 15.2796i | −0.645295 | − | 0.765900i | ||||
\(399\) | 5.05018 | − | 25.2402i | 0.252825 | − | 1.26359i | ||||
\(400\) | 12.5479 | + | 4.45309i | 0.627395 | + | 0.222655i | ||||
\(401\) | −2.98430 | − | 1.72299i | −0.149029 | − | 0.0860420i | 0.423631 | − | 0.905835i | \(-0.360755\pi\) |
−0.572660 | + | 0.819793i | \(0.694089\pi\) | |||||||
\(402\) | 2.02100 | − | 14.8315i | 0.100798 | − | 0.739729i | ||||
\(403\) | 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 | ||||||||
\(408\) | 21.5180 | − | 4.75896i | 1.06530 | − | 0.235604i | ||||
\(409\) | 9.79039 | + | 16.9575i | 0.484104 | + | 0.838492i | 0.999833 | − | 0.0182590i | \(-0.00581236\pi\) |
−0.515729 | + | 0.856752i | \(0.672479\pi\) | |||||||
\(410\) | 0.868328 | − | 2.40072i | 0.0428837 | − | 0.118563i | ||||
\(411\) | 6.98056 | − | 21.6448i | 0.344326 | − | 1.06766i | ||||
\(412\) | −8.84722 | − | 1.52334i | −0.435871 | − | 0.0750497i | ||||
\(413\) | 29.0676 | − | 3.34274i | 1.43032 | − | 0.164485i | ||||
\(414\) | 1.90845 | − | 3.97714i | 0.0937954 | − | 0.195466i | ||||
\(415\) | 5.31101 | + | 3.06631i | 0.260707 | + | 0.150519i | ||||
\(416\) | 8.09842 | − | 9.85078i | 0.397057 | − | 0.482974i | ||||
\(417\) | 16.6694 | − | 15.0753i | 0.816303 | − | 0.738240i | ||||
\(418\) | 14.4483 | − | 2.57759i | 0.706690 | − | 0.126074i | ||||
\(419\) | − | 27.6189i | − | 1.34927i | −0.738150 | − | 0.674637i | \(-0.764300\pi\) | ||
0.738150 | − | 0.674637i | \(-0.235700\pi\) | |||||||
\(420\) | −1.83635 | − | 11.7056i | −0.0896046 | − | 0.571173i | ||||
\(421\) | − | 9.36226i | − | 0.456289i | −0.973627 | − | 0.228144i | \(-0.926734\pi\) | ||
0.973627 | − | 0.228144i | \(-0.0732658\pi\) | |||||||
\(422\) | −0.485351 | − | 2.72056i | −0.0236265 | − | 0.132435i | ||||
\(423\) | −28.7420 | − | 20.6909i | −1.39748 | − | 1.00603i | ||||
\(424\) | −16.8741 | + | 29.6383i | −0.819480 | + | 1.43936i | ||||
\(425\) | 12.9678 | + | 7.48697i | 0.629031 | + | 0.363171i | ||||
\(426\) | 27.1349 | + | 21.0173i | 1.31469 | + | 1.01829i | ||||
\(427\) | 13.9254 | + | 18.7779i | 0.673897 | + | 0.908724i | ||||
\(428\) | −14.2902 | − | 2.46053i | −0.690741 | − | 0.118934i | ||||
\(429\) | 6.86576 | + | 2.21424i | 0.331482 | + | 0.106905i | ||||
\(430\) | 10.3601 | + | 3.74719i | 0.499607 | + | 0.180705i | ||||
\(431\) | −4.22951 | − | 7.32573i | −0.203729 | − | 0.352868i | 0.745998 | − | 0.665948i | \(-0.231973\pi\) |
−0.949727 | + | 0.313080i | \(0.898639\pi\) | |||||||
\(432\) | −20.2385 | − | 4.73327i | −0.973724 | − | 0.227730i | ||||
\(433\) | −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 | ||||
\(438\) | −2.90150 | + | 21.2933i | −0.138639 | + | 1.01743i | ||||
\(439\) | −20.2600 | − | 11.6971i | −0.966959 | − | 0.558274i | −0.0686510 | − | 0.997641i | \(-0.521869\pi\) |
−0.898308 | + | 0.439367i | \(0.855203\pi\) | |||||||
\(440\) | 5.83021 | − | 3.41313i | 0.277944 | − | 0.162715i | ||||
\(441\) | 16.6892 | − | 12.7464i | 0.794725 | − | 0.606970i | ||||
\(442\) | 10.9677 | − | 9.24065i | 0.521681 | − | 0.439533i | ||||
\(443\) | 5.31199 | + | 3.06688i | 0.252380 | + | 0.145712i | 0.620854 | − | 0.783926i | \(-0.286786\pi\) |
−0.368473 | + | 0.929638i | \(0.620119\pi\) | |||||||
\(444\) | −27.6533 | + | 17.5193i | −1.31237 | + | 0.831430i | ||||
\(445\) | −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 | \(-0.321179\pi\) | |||||||
\(450\) | −7.97166 | − | 11.6573i | −0.375788 | − | 0.549530i | ||||
\(451\) | 1.28992 | + | 2.23420i | 0.0607397 | + | 0.105204i | ||||
\(452\) | 5.03180 | + | 13.6536i | 0.236676 | + | 0.642214i | ||||
\(453\) | −1.94135 | + | 6.01959i | −0.0912124 | + | 0.282825i | ||||
\(454\) | −5.31368 | − | 6.30679i | −0.249383 | − | 0.295992i | ||||
\(455\) | −4.59303 | − | 6.19352i | −0.215324 | − | 0.290357i | ||||
\(456\) | −20.2976 | + | 18.5804i | −0.950522 | + | 0.870105i | ||||
\(457\) | −1.51987 | + | 2.63249i | −0.0710964 | + | 0.123143i | −0.899382 | − | 0.437163i | \(-0.855983\pi\) |
0.828286 | + | 0.560306i | \(0.189316\pi\) | |||||||
\(458\) | −6.26542 | + | 17.3224i | −0.292764 | + | 0.809422i | ||||
\(459\) | −21.4159 | − | 9.36717i | −0.999606 | − | 0.437222i | ||||
\(460\) | −2.06637 | − | 1.71978i | −0.0963452 | − | 0.0801852i | ||||
\(461\) | −30.7564 | −1.43247 | −0.716233 | − | 0.697861i | \(-0.754135\pi\) | ||||
−0.716233 | + | 0.697861i | \(0.754135\pi\) | |||||||
\(462\) | 10.2418 | + | 6.20254i | 0.476494 | + | 0.288568i | ||||
\(463\) | 9.54146i | 0.443429i | 0.975112 | + | 0.221715i | \(0.0711653\pi\) | ||||
−0.975112 | + | 0.221715i | \(0.928835\pi\) | |||||||
\(464\) | 4.01989 | − | 3.42856i | 0.186619 | − | 0.159167i | ||||
\(465\) | −6.41172 | − | 7.08971i | −0.297336 | − | 0.328777i | ||||
\(466\) | −7.58523 | + | 20.9714i | −0.351379 | + | 0.971479i | ||||
\(467\) | 4.36437 | + | 2.51977i | 0.201959 | + | 0.116601i | 0.597569 | − | 0.801818i | \(-0.296133\pi\) |
−0.395610 | + | 0.918419i | \(0.629467\pi\) | |||||||
\(468\) | −13.0962 | + | 3.38225i | −0.605372 | + | 0.156344i | ||||
\(469\) | −1.84712 | − | 16.0621i | −0.0852920 | − | 0.741677i | ||||
\(470\) | −16.5056 | + | 13.9065i | −0.761348 | + | 0.641460i | ||||
\(471\) | −1.44005 | + | 4.46522i | −0.0663542 | + | 0.205746i | ||||
\(472\) | −27.1826 | − | 15.4760i | −1.25118 | − | 0.712340i | ||||
\(473\) | −9.64147 | + | 5.56650i | −0.443315 | + | 0.255948i | ||||
\(474\) | 2.53784 | + | 6.20626i | 0.116567 | + | 0.285063i | ||||
\(475\) | −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 | 0.988961 | + | 0.148175i | \(0.0473399\pi\) |
−0.366157 | + | 0.930553i | \(0.619327\pi\) | |||||||
\(480\) | −5.80938 | + | 11.2561i | −0.265161 | + | 0.513768i | ||||
\(481\) | −10.6516 | + | 18.4492i | −0.485673 | + | 0.841211i | ||||
\(482\) | −14.7534 | + | 12.4302i | −0.671998 | + | 0.566180i | ||||
\(483\) | 0.934833 | − | 4.67217i | 0.0425364 | − | 0.212591i | ||||
\(484\) | 2.57465 | − | 14.9530i | 0.117030 | − | 0.679681i | ||||
\(485\) | −5.64610 | + | 9.77933i | −0.256376 | + | 0.444057i | ||||
\(486\) | 14.3878 | + | 16.7030i | 0.652646 | + | 0.757663i | ||||
\(487\) | −0.905513 | + | 0.522798i | −0.0410327 | + | 0.0236902i | −0.520376 | − | 0.853937i | \(-0.674208\pi\) |
0.479343 | + | 0.877627i | \(0.340875\pi\) | |||||||
\(488\) | −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 | \(-0.230026\pi\) | |||||||
\(492\) | −4.28489 | − | 2.24431i | −0.193178 | − | 0.101181i | ||||
\(493\) | 5.14579 | − | 2.97092i | 0.231755 | − | 0.133804i | ||||
\(494\) | −6.09089 | + | 16.8399i | −0.274042 | + | 0.757661i | ||||
\(495\) | −7.12956 | − | 0.717849i | −0.320450 | − | 0.0322649i | ||||
\(496\) | 5.71098 | − | 16.0924i | 0.256431 | − | 0.722569i | ||||
\(497\) | 34.0132 | + | 14.7469i | 1.52570 | + | 0.661490i | ||||
\(498\) | 7.11522 | − | 9.18627i | 0.318841 | − | 0.411647i | ||||
\(499\) | 14.3749 | − | 24.8981i | 0.643510 | − | 1.11459i | −0.341133 | − | 0.940015i | \(-0.610811\pi\) |
0.984643 | − | 0.174578i | \(-0.0558560\pi\) | |||||||
\(500\) | −20.2062 | + | 7.44660i | −0.903647 | + | 0.333022i | ||||
\(501\) | −15.2633 | + | 13.8037i | −0.681914 | + | 0.616702i | ||||
\(502\) | 7.42185 | − | 1.32407i | 0.331253 | − | 0.0590960i | ||||
\(503\) | −19.8016 | −0.882910 | −0.441455 | − | 0.897283i | \(-0.645538\pi\) | ||||
−0.441455 | + | 0.897283i | \(0.645538\pi\) | |||||||
\(504\) | −22.4454 | + | 0.453013i | −0.999796 | + | 0.0201788i | ||||
\(505\) | −8.84363 | −0.393536 | ||||||||
\(506\) | 2.67451 | − | 0.477135i | 0.118896 | − | 0.0212113i | ||||
\(507\) | 10.1718 | − | 9.19903i | 0.451744 | − | 0.408543i | ||||
\(508\) | −15.0575 | − | 40.8582i | −0.668069 | − | 1.81279i | ||||
\(509\) | −14.1795 | + | 24.5596i | −0.628494 | + | 1.08858i | 0.359360 | + | 0.933199i | \(0.382995\pi\) |
−0.987854 | + | 0.155385i | \(0.950338\pi\) | |||||||
\(510\) | −8.72315 | + | 11.2622i | −0.386268 | + | 0.498700i | ||||
\(511\) | 2.65186 | + | 23.0599i | 0.117312 | + | 1.02011i | ||||
\(512\) | −22.6237 | + | 0.409474i | −0.999836 | + | 0.0180964i | ||||
\(513\) | 29.0064 | − | 3.24114i | 1.28066 | − | 0.143100i | ||||
\(514\) | 4.03618 | − | 11.1591i | 0.178028 | − | 0.492206i | ||||
\(515\) | 5.02555 | − | 2.90151i | 0.221452 | − | 0.127856i | ||||
\(516\) | 9.68511 | − | 18.4910i | 0.426363 | − | 0.814023i | ||||
\(517\) | − | 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 | \(-0.421874\pi\) |
0.961563 | + | 0.274585i | \(0.0885404\pi\) | |||||||
\(522\) | −5.58765 | + | 0.426581i | −0.244565 | + | 0.0186709i | ||||
\(523\) | 3.11470 | − | 5.39482i | 0.136196 | − | 0.235899i | −0.789858 | − | 0.613290i | \(-0.789846\pi\) |
0.926054 | + | 0.377392i | \(0.123179\pi\) | |||||||
\(524\) | 10.6038 | + | 1.82580i | 0.463231 | + | 0.0797606i | ||||
\(525\) | −11.4571 | − | 10.0705i | −0.500028 | − | 0.439512i | ||||
\(526\) | −3.42648 | + | 2.88692i | −0.149402 | + | 0.125876i | ||||
\(527\) | 9.60185 | − | 16.6309i | 0.418263 | − | 0.724453i | ||||
\(528\) | −4.91623 | − | 11.8186i | −0.213951 | − | 0.514337i | ||||
\(529\) | 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 | ||||||||
\(534\) | 8.89856 | + | 21.7613i | 0.385078 | + | 0.941704i | ||||
\(535\) | 8.11735 | − | 4.68656i | 0.350944 | − | 0.202618i | ||||
\(536\) | −8.55166 | + | 15.0204i | −0.369376 | + | 0.648784i | ||||
\(537\) | 0.883842 | − | 2.74056i | 0.0381406 | − | 0.118264i | ||||
\(538\) | −16.9112 | + | 14.2483i | −0.729096 | + | 0.614286i | ||||
\(539\) | 12.3758 | + | 3.75526i | 0.533061 | + | 0.161751i | ||||
\(540\) | 12.0125 | − | 6.01702i | 0.516936 | − | 0.258931i | ||||
\(541\) | −1.99979 | − | 1.15458i | −0.0859776 | − | 0.0496392i | 0.456395 | − | 0.889777i | \(-0.349140\pi\) |
−0.542372 | + | 0.840138i | \(0.682474\pi\) | |||||||
\(542\) | −6.90795 | + | 19.0988i | −0.296722 | + | 0.820366i | ||||
\(543\) | −5.19172 | − | 5.74071i | −0.222798 | − | 0.246357i | ||||
\(544\) | −25.1038 | − | 4.16669i | −1.07632 | − | 0.178646i | ||||
\(545\) | 15.9252i | 0.682159i | ||||||||
\(546\) | −12.8025 | + | 7.03838i | −0.547894 | + | 0.301215i | ||||
\(547\) | 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 | ||||
\(549\) | −15.4871 | + | 21.5133i | −0.660974 | + | 0.918167i | ||||
\(550\) | 2.95821 | − | 8.17875i | 0.126138 | − | 0.348743i | ||||
\(551\) | −3.70963 | + | 6.42528i | −0.158036 | + | 0.273726i | ||||
\(552\) | −3.75726 | + | 3.43939i | −0.159920 | + | 0.146390i | ||||
\(553\) | 4.31401 | + | 5.81727i | 0.183450 | + | 0.247375i | ||||
\(554\) | −3.40067 | − | 4.03624i | −0.144480 | − | 0.171484i | ||||
\(555\) | 6.49494 | − | 20.1390i | 0.275695 | − | 0.854854i | ||||
\(556\) | −24.3511 | + | 8.97414i | −1.03272 | + | 0.380588i | ||||
\(557\) | −16.5711 | − | 28.7020i | −0.702140 | − | 1.21614i | −0.967714 | − | 0.252052i | \(-0.918895\pi\) |
0.265574 | − | 0.964091i | \(-0.414439\pi\) | |||||||
\(558\) | −14.9502 | + | 10.2235i | −0.632892 | + | 0.432793i | ||||
\(559\) | − | 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 | \(-0.774323\pi\) |
0.184326 | + | 0.982865i | \(0.440990\pi\) | |||||||
\(564\) | 21.8852 | + | 34.5446i | 0.921532 | + | 1.45459i | ||||
\(565\) | −8.14583 | − | 4.70300i | −0.342698 | − | 0.197857i | ||||
\(566\) | 23.3015 | − | 19.6323i | 0.979435 | − | 0.825205i | ||||
\(567\) | 19.5200 | + | 13.6371i | 0.819763 | + | 0.572703i | ||||
\(568\) | −20.0228 | − | 34.2023i | −0.840137 | − | 1.43510i | ||||
\(569\) | −20.1971 | − | 11.6608i | −0.846706 | − | 0.488846i | 0.0128319 | − | 0.999918i | \(-0.495915\pi\) |
−0.859538 | + | 0.511072i | \(0.829249\pi\) | |||||||
\(570\) | 2.40159 | − | 17.6246i | 0.100592 | − | 0.738213i | ||||
\(571\) | 12.0030 | + | 20.7898i | 0.502311 | + | 0.870027i | 0.999996 | + | 0.00267009i | \(0.000849917\pi\) |
−0.497686 | + | 0.867357i | \(0.665817\pi\) | |||||||
\(572\) | −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 | ||||||||
\(576\) | 19.6456 | + | 13.7858i | 0.818568 | + | 0.574409i | ||||
\(577\) | −2.69246 | − | 4.66349i | −0.112089 | − | 0.194143i | 0.804523 | − | 0.593921i | \(-0.202421\pi\) |
−0.916612 | + | 0.399777i | \(0.869087\pi\) | |||||||
\(578\) | −4.30406 | − | 1.55676i | −0.179025 | − | 0.0647526i | ||||
\(579\) | −9.57079 | − | 3.08663i | −0.397749 | − | 0.128276i | ||||
\(580\) | −0.579514 | + | 3.36568i | −0.0240630 | + | 0.139752i | ||||
\(581\) | 4.99244 | − | 11.5149i | 0.207121 | − | 0.477717i | ||||
\(582\) | 16.9150 | + | 13.1015i | 0.701149 | + | 0.543074i | ||||
\(583\) | 19.2933 | + | 11.1390i | 0.799046 | + | 0.461329i | ||||
\(584\) | 12.2774 | − | 21.5645i | 0.508043 | − | 0.892345i | ||||
\(585\) | 5.10813 | − | 7.09576i | 0.211195 | − | 0.293374i | ||||
\(586\) | 1.02781 | + | 5.76125i | 0.0424586 | + | 0.237995i | ||||
\(587\) | − | 20.8871i | − | 0.862104i | −0.902327 | − | 0.431052i | \(-0.858143\pi\) | ||
0.902327 | − | 0.431052i | \(-0.141857\pi\) | |||||||
\(588\) | −23.3695 | + | 6.47036i | −0.963743 | + | 0.266833i | ||||
\(589\) | 23.9786i | 0.988023i | ||||||||
\(590\) | 19.9048 | − | 3.55103i | 0.819466 | − | 0.146194i | ||||
\(591\) | −4.05780 | + | 3.66975i | −0.166915 | + | 0.150953i | ||||
\(592\) | 37.1718 | − | 6.86311i | 1.52775 | − | 0.282072i | ||||
\(593\) | −31.7953 | − | 18.3570i | −1.30567 | − | 0.753832i | −0.324303 | − | 0.945953i | \(-0.605130\pi\) |
−0.981371 | + | 0.192122i | \(0.938463\pi\) | |||||||
\(594\) | −3.17152 | + | 13.2011i | −0.130129 | + | 0.541649i | ||||
\(595\) | −6.12065 | + | 14.1170i | −0.250922 | + | 0.578742i | ||||
\(596\) | 2.32153 | − | 13.4829i | 0.0950937 | − | 0.552282i | ||||
\(597\) | 7.51085 | − | 23.2891i | 0.307399 | − | 0.953160i | ||||
\(598\) | −1.12748 | + | 3.11721i | −0.0461060 | + | 0.127472i | ||||
\(599\) | −12.0639 | − | 20.8953i | −0.492918 | − | 0.853760i | 0.507048 | − | 0.861918i | \(-0.330737\pi\) |
−0.999967 | + | 0.00815783i | \(0.997403\pi\) | |||||||
\(600\) | 3.52140 | + | 15.9223i | 0.143760 | + | 0.650025i | ||||
\(601\) | −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 | ||||
\(606\) | −2.26235 | + | 16.6027i | −0.0919016 | + | 0.674439i | ||||
\(607\) | 3.75552 | + | 2.16825i | 0.152432 | + | 0.0880066i | 0.574276 | − | 0.818662i | \(-0.305284\pi\) |
−0.421844 | + | 0.906668i | \(0.638617\pi\) | |||||||
\(608\) | 29.7477 | − | 11.1672i | 1.20643 | − | 0.452891i | ||||
\(609\) | −5.73388 | + | 1.93918i | −0.232349 | + | 0.0785795i | ||||
\(610\) | 10.4090 | + | 12.3544i | 0.421448 | + | 0.500216i | ||||
\(611\) | 23.0468 | + | 13.3061i | 0.932373 | + | 0.538306i | ||||
\(612\) | 18.9118 | + | 19.2576i | 0.764463 | + | 0.778442i | ||||
\(613\) | 26.2945 | − | 15.1812i | 1.06203 | − | 0.613161i | 0.136034 | − | 0.990704i | \(-0.456564\pi\) |
0.925992 | + | 0.377543i | \(0.123231\pi\) | |||||||
\(614\) | 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 | \(0.925174\pi\) | |||||||
\(618\) | −4.16156 | − | 10.1770i | −0.167402 | − | 0.409381i | ||||
\(619\) | −8.62076 | − | 14.9316i | −0.346497 | − | 0.600151i | 0.639127 | − | 0.769101i | \(-0.279296\pi\) |
−0.985625 | + | 0.168950i | \(0.945962\pi\) | |||||||
\(620\) | 3.81682 | + | 10.3568i | 0.153287 | + | 0.415940i | ||||
\(621\) | 5.36934 | − | 0.599963i | 0.215464 | − | 0.0240757i | ||||
\(622\) | 15.2468 | − | 12.8459i | 0.611341 | − | 0.515074i | ||||
\(623\) | 15.1264 | + | 20.3974i | 0.606028 | + | 0.817204i | ||||
\(624\) | 15.4878 | + | 2.01534i | 0.620008 | + | 0.0806781i | ||||
\(625\) | −1.36164 | + | 2.35843i | −0.0544656 | + | 0.0943372i | ||||
\(626\) | −18.4967 | − | 6.69015i | −0.739276 | − | 0.267392i | ||||
\(627\) | 12.0567 | + | 13.3316i | 0.481499 | + | 0.532414i | ||||
\(628\) | 3.46558 | − | 4.16401i | 0.138292 | − | 0.166162i | ||||
\(629\) | 42.5107 | 1.69501 | ||||||||
\(630\) | 10.9644 | − | 9.50633i | 0.436833 | − | 0.378741i | ||||
\(631\) | 4.91146i | 0.195522i | 0.995210 | + | 0.0977611i | \(0.0311681\pi\) | ||||
−0.995210 | + | 0.0977611i | \(0.968832\pi\) | |||||||
\(632\) | −0.0467052 | − | 7.74223i | −0.00185783 | − | 0.307969i | ||||
\(633\) | 2.51029 | − | 2.27023i | 0.0997752 | − | 0.0902336i | ||||
\(634\) | 22.1923 | + | 8.02685i | 0.881371 | + | 0.318787i | ||||
\(635\) | 24.3762 | + | 14.0736i | 0.967339 | + | 0.558493i | ||||
\(636\) | −41.7349 | + | 1.71686i | −1.65490 | + | 0.0680779i | ||||
\(637\) | −11.5183 | + | 10.7863i | −0.456372 | + | 0.427368i | ||||
\(638\) | −2.22370 | − | 2.63930i | −0.0880370 | − | 0.104491i | ||||
\(639\) | −4.21118 | + | 41.8248i | −0.166592 | + | 1.65456i | ||||
\(640\) | 11.0710 | − | 9.55844i | 0.437621 | − | 0.377831i | ||||
\(641\) | −34.7916 | + | 20.0870i | −1.37419 | + | 0.793387i | −0.991452 | − | 0.130471i | \(-0.958351\pi\) |
−0.382735 | + | 0.923858i | \(0.625018\pi\) | |||||||
\(642\) | −6.72182 | − | 16.4381i | −0.265289 | − | 0.648761i | ||||
\(643\) | 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 | \(-0.0440899\pi\) |
−0.614783 | + | 0.788696i | \(0.710757\pi\) | |||||||
\(648\) | −8.22314 | − | 24.0911i | −0.323035 | − | 0.946387i | ||||
\(649\) | −10.2160 | + | 17.6947i | −0.401015 | + | 0.694578i | ||||
\(650\) | 6.83763 | + | 8.11557i | 0.268194 | + | 0.318319i | ||||
\(651\) | −12.9152 | + | 14.6934i | −0.506185 | + | 0.575881i | ||||
\(652\) | −2.99898 | + | 17.4174i | −0.117449 | + | 0.682118i | ||||
\(653\) | 4.01546 | − | 6.95497i | 0.157137 | − | 0.272169i | −0.776698 | − | 0.629873i | \(-0.783107\pi\) |
0.933835 | + | 0.357704i | \(0.116440\pi\) | |||||||
\(654\) | 29.8973 | + | 4.07392i | 1.16908 | + | 0.159303i | ||||
\(655\) | −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 | \(0.967640\pi\) | |||||||
\(660\) | 7.32960 | + | 3.83905i | 0.285304 | + | 0.149435i | ||||
\(661\) | 33.5498 | − | 19.3700i | 1.30494 | − | 0.753406i | 0.323690 | − | 0.946163i | \(-0.395076\pi\) |
0.981246 | + | 0.192757i | \(0.0617431\pi\) | |||||||
\(662\) | 12.8241 | + | 4.63842i | 0.498424 | + | 0.180277i | ||||
\(663\) | 16.7169 | + | 5.39128i | 0.649230 | + | 0.209380i | ||||
\(664\) | −11.5789 | + | 6.77852i | −0.449347 | + | 0.263058i | ||||
\(665\) | −2.19497 | − | 19.0869i | −0.0851171 | − | 0.740157i | ||||
\(666\) | −36.1468 | − | 17.3453i | −1.40066 | − | 0.672115i | ||||
\(667\) | −0.686686 | + | 1.18937i | −0.0265886 | + | 0.0460528i | ||||
\(668\) | 22.2970 | − | 8.21715i | 0.862698 | − | 0.317931i | ||||
\(669\) | 4.18223 | + | 4.62447i | 0.161694 | + | 0.178792i | ||||
\(670\) | −1.96221 | − | 10.9989i | −0.0758069 | − | 0.424924i | ||||
\(671\) | −16.3251 | −0.630223 | ||||||||
\(672\) | 24.2433 | + | 9.17944i | 0.935206 | + | 0.354105i | ||||
\(673\) | −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 | ||||
\(675\) | 6.93124 | − | 15.8467i | 0.266784 | − | 0.609939i | ||||
\(676\) | −14.8592 | + | 5.47607i | −0.571507 | + | 0.210618i | ||||
\(677\) | −15.7573 | + | 27.2925i | −0.605602 | + | 1.04893i | 0.386354 | + | 0.922351i | \(0.373734\pi\) |
−0.991956 | + | 0.126583i | \(0.959599\pi\) | |||||||
\(678\) | −10.9131 | + | 14.0896i | −0.419114 | + | 0.541107i | ||||
\(679\) | 21.2027 | + | 9.19274i | 0.813684 | + | 0.352785i | ||||
\(680\) | 14.1955 | − | 8.31037i | 0.544373 | − | 0.318688i | ||||
\(681\) | 3.10016 | − | 9.61276i | 0.118798 | − | 0.368362i | ||||
\(682\) | −10.4890 | − | 3.79383i | −0.401646 | − | 0.145273i | ||||
\(683\) | −19.4038 | + | 11.2028i | −0.742465 | + | 0.428663i | −0.822965 | − | 0.568092i | \(-0.807682\pi\) |
0.0804996 | + | 0.996755i | \(0.474348\pi\) | |||||||
\(684\) | −32.4734 | − | 9.01733i | −1.24165 | − | 0.344786i | ||||
\(685\) | − | 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 | ||||
\(690\) | 0.444556 | − | 3.26247i | 0.0169240 | − | 0.124200i | ||||
\(691\) | −7.24483 | + | 12.5484i | −0.275606 | + | 0.477364i | −0.970288 | − | 0.241953i | \(-0.922212\pi\) |
0.694682 | + | 0.719317i | \(0.255545\pi\) | |||||||
\(692\) | −2.12108 | + | 12.3187i | −0.0806312 | + | 0.468287i | ||||
\(693\) | 0.207464 | + | 14.6631i | 0.00788090 | + | 0.557006i | ||||
\(694\) | −11.4594 | − | 13.6012i | −0.434995 | − | 0.516294i | ||||
\(695\) | 8.38773 | − | 14.5280i | 0.318165 | − | 0.551077i | ||||
\(696\) | 6.17036 | + | 1.94896i | 0.233887 | + | 0.0738750i | ||||
\(697\) | 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 | \(-0.363652\pi\) | ||||
0.415369 | + | 0.909653i | \(0.363652\pi\) | |||||||
\(702\) | −12.0146 | − | 11.4050i | −0.453461 | − | 0.430455i | ||||
\(703\) | −45.9694 | + | 26.5404i | −1.73377 | + | 1.00099i | ||||
\(704\) | 0.178321 | + | 14.7794i | 0.00672074 | + | 0.557021i | ||||
\(705\) | −25.1577 | − | 8.11349i | −0.947495 | − | 0.305572i | ||||
\(706\) | 9.58261 | + | 11.3736i | 0.360646 | + | 0.428050i | ||||
\(707\) | 2.06770 | + | 17.9802i | 0.0777639 | + | 0.676215i | ||||
\(708\) | −1.57461 | − | 38.2769i | −0.0591773 | − | 1.43853i | ||||
\(709\) | −17.2122 | − | 9.93745i | −0.646416 | − | 0.373209i | 0.140666 | − | 0.990057i | \(-0.455076\pi\) |
−0.787082 | + | 0.616849i | \(0.788409\pi\) | |||||||
\(710\) | 24.0909 | + | 8.71355i | 0.904115 | + | 0.327014i | ||||
\(711\) | −4.79782 | + | 6.66471i | −0.179932 | + | 0.249946i | ||||
\(712\) | −0.163765 | − | 27.1470i | −0.00613735 | − | 1.01738i | ||||
\(713\) | 4.43866i | 0.166229i | ||||||||
\(714\) | 24.9370 | + | 15.1021i | 0.933245 | + | 0.565181i | ||||
\(715\) | 5.38452 | 0.201370 | ||||||||
\(716\) | −2.12702 | + | 2.55569i | −0.0794905 | + | 0.0955106i | ||||
\(717\) | 29.2199 | − | 26.4256i | 1.09124 | − | 0.986881i | ||||
\(718\) | 21.3556 | + | 7.72419i | 0.796982 | + | 0.288264i | ||||
\(719\) | −4.05138 | + | 7.01719i | −0.151091 | + | 0.261697i | −0.931629 | − | 0.363411i | \(-0.881612\pi\) |
0.780538 | + | 0.625108i | \(0.214945\pi\) | |||||||
\(720\) | −15.4612 | + | 1.27422i | −0.576206 | + | 0.0474874i | ||||
\(721\) | −7.07413 | − | 9.53918i | −0.263454 | − | 0.355258i | ||||
\(722\) | −13.5741 | + | 11.4366i | −0.505175 | + | 0.425626i | ||||
\(723\) | −22.4870 | − | 7.25216i | −0.836300 | − | 0.269711i | ||||
\(724\) | 3.09057 | + | 8.38618i | 0.114860 | + | 0.311670i | ||||
\(725\) | 2.19834 | + | 3.80763i | 0.0816442 | + | 0.141412i | ||||
\(726\) | 17.2006 | − | 7.03359i | 0.638372 | − | 0.261041i | ||||
\(727\) | − | 1.56460i | − | 0.0580278i | −0.999579 | − | 0.0290139i | \(-0.990763\pi\) | ||
0.999579 | − | 0.0290139i | \(-0.00923671\pi\) | |||||||
\(728\) | 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 | ||||
\(732\) | 25.8566 | − | 16.3810i | 0.955686 | − | 0.605460i | ||||
\(733\) | −10.2679 | − | 5.92818i | −0.379254 | − | 0.218962i | 0.298240 | − | 0.954491i | \(-0.403600\pi\) |
−0.677493 | + | 0.735529i | \(0.736934\pi\) | |||||||
\(734\) | −21.9117 | − | 26.0069i | −0.808775 | − | 0.959934i | ||||
\(735\) | 8.93537 | − | 12.8781i | 0.329586 | − | 0.475017i | ||||
\(736\) | 5.50655 | − | 2.06715i | 0.202974 | − | 0.0761962i | ||||
\(737\) | 9.77767 | + | 5.64514i | 0.360165 | + | 0.207941i | ||||
\(738\) | −0.450960 | − | 5.90699i | −0.0166001 | − | 0.217439i | ||||
\(739\) | −6.94639 | − | 12.0315i | −0.255527 | − | 0.442586i | 0.709511 | − | 0.704694i | \(-0.248916\pi\) |
−0.965039 | + | 0.262108i | \(0.915582\pi\) | |||||||
\(740\) | −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 | \(-0.346194\pi\) | ||||
0.464611 | + | 0.885515i | \(0.346194\pi\) | |||||||
\(744\) | 20.4199 | − | 4.51610i | 0.748632 | − | 0.165568i | ||||
\(745\) | 4.42182 | + | 7.65881i | 0.162003 | + | 0.280597i | ||||
\(746\) | 6.94954 | − | 19.2138i | 0.254441 | − | 0.703468i | ||||
\(747\) | 14.1594 | + | 1.42566i | 0.518065 | + | 0.0521621i | ||||
\(748\) | −2.82061 | + | 16.3814i | −0.103132 | + | 0.598965i | ||||
\(749\) | −11.4262 | − | 15.4078i | −0.417506 | − | 0.562990i | ||||
\(750\) | −20.8513 | − | 16.1504i | −0.761382 | − | 0.589728i | ||||
\(751\) | 10.4902 | + | 6.05653i | 0.382793 | + | 0.221006i | 0.679033 | − | 0.734108i | \(-0.262399\pi\) |
−0.296240 | + | 0.955114i | \(0.595733\pi\) | |||||||
\(752\) | −8.57341 | − | 46.4351i | −0.312640 | − | 1.69331i | ||||
\(753\) | 6.19333 | + | 6.84823i | 0.225698 | + | 0.249563i | ||||
\(754\) | 4.14554 | − | 0.739569i | 0.150972 | − | 0.0269335i | ||||
\(755\) | 4.72090i | 0.171811i | ||||||||
\(756\) | −15.0420 | − | 23.0161i | −0.547070 | − | 0.837087i | ||||
\(757\) | 21.6528i | 0.786983i | 0.919328 | + | 0.393491i | \(0.128733\pi\) | ||||
−0.919328 | + | 0.393491i | \(0.871267\pi\) | |||||||
\(758\) | 7.40279 | + | 41.4952i | 0.268881 | + | 1.50717i | ||||
\(759\) | 2.23180 | + | 2.46780i | 0.0810094 | + | 0.0895755i | ||||
\(760\) | −10.1621 | + | 17.8491i | −0.368618 | + | 0.647455i | ||||
\(761\) | 33.4532 | + | 19.3142i | 1.21268 | + | 0.700141i | 0.963342 | − | 0.268276i | \(-0.0864539\pi\) |
0.249337 | + | 0.968417i | \(0.419787\pi\) | |||||||
\(762\) | 32.6571 | − | 42.1627i | 1.18304 | − | 1.52739i | ||||
\(763\) | 32.3778 | − | 3.72341i | 1.17216 | − | 0.134797i | ||||
\(764\) | −7.65428 | + | 44.4542i | −0.276922 | + | 1.60830i | ||||
\(765\) | −17.3592 | − | 1.74783i | −0.627623 | − | 0.0631931i | ||||
\(766\) | 14.9695 | + | 5.41438i | 0.540869 | + | 0.195629i | ||||
\(767\) | −12.4652 | − | 21.5903i | −0.450091 | − | 0.779580i | ||||
\(768\) | −15.1125 | − | 23.2295i | −0.545326 | − | 0.838224i | ||||
\(769\) | 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 | −0.999894 | − | 0.0145830i | \(-0.995358\pi\) |
0.487318 | − | 0.873225i | \(-0.337975\pi\) | |||||||
\(774\) | 25.4910 | − | 1.94607i | 0.916256 | − | 0.0699501i | ||||
\(775\) | 12.3061 | + | 7.10490i | 0.442046 | + | 0.255216i | ||||
\(776\) | −12.4815 | − | 21.3206i | −0.448060 | − | 0.765364i | ||||
\(777\) | −42.4637 | − | 8.49636i | −1.52338 | − | 0.304805i | ||||
\(778\) | −29.1593 | + | 24.5676i | −1.04541 | + | 0.880792i | ||||
\(779\) | −6.79248 | − | 3.92164i | −0.243366 | − | 0.140507i | ||||
\(780\) | −8.52829 | + | 5.40297i | −0.305362 | + | 0.193457i | ||||
\(781\) | −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 | ||||||||
\(786\) | 4.98784 | + | 12.1977i | 0.177910 | + | 0.435078i | ||||
\(787\) | −18.8558 | − | 32.6593i | −0.672138 | − | 1.16418i | −0.977297 | − | 0.211875i | \(-0.932043\pi\) |
0.305159 | − | 0.952301i | \(-0.401290\pi\) | |||||||
\(788\) | 5.92774 | − | 2.18456i | 0.211167 | − | 0.0778216i | ||||
\(789\) | −5.22261 | − | 1.68432i | −0.185930 | − | 0.0599633i | ||||
\(790\) | 3.22465 | + | 3.82733i | 0.114728 | + | 0.136170i | ||||
\(791\) | −7.65723 | + | 17.6611i | −0.272260 | + | 0.627956i | ||||
\(792\) | 9.08232 | − | 12.7782i | 0.322726 | − | 0.454055i | ||||
\(793\) | 9.95957 | − | 17.2505i | 0.353675 | − | 0.612583i | ||||
\(794\) | −3.75018 | + | 10.3684i | −0.133089 | + | 0.367959i | ||||
\(795\) | 20.0256 | − | 18.1106i | 0.710235 | − | 0.642315i | ||||
\(796\) | −18.0753 | + | 21.7181i | −0.640663 | + | 0.769778i | ||||
\(797\) | 46.8382 | 1.65910 | 0.829548 | − | 0.558436i | \(-0.188598\pi\) | ||||
0.829548 | + | 0.558436i | \(0.188598\pi\) | |||||||
\(798\) | −36.3945 | − | 0.761988i | −1.28835 | − | 0.0269741i | ||||
\(799\) | − | 53.1045i | − | 1.87870i | ||||||
\(800\) | 3.08315 | − | 18.5756i | 0.109006 | − | 0.656747i | ||||
\(801\) | −16.8228 | + | 23.3688i | −0.594406 | + | 0.825696i | ||||
\(802\) | −1.65757 | + | 4.58279i | −0.0585309 | + | 0.161824i | ||||
\(803\) | −14.0376 | − | 8.10460i | −0.495375 | − | 0.286005i | ||||
\(804\) | −21.1509 | + | 0.870089i | −0.745934 | + | 0.0306857i | ||||
\(805\) | −0.406308 | − | 3.53315i | −0.0143205 | − | 0.124527i | ||||
\(806\) | 10.4080 | − | 8.76909i | 0.366607 | − | 0.308878i | ||||
\(807\) | −25.7760 | − | 8.31288i | −0.907357 | − | 0.292627i | ||||
\(808\) | 9.57290 | − | 16.8142i | 0.336774 | − | 0.591521i | ||||
\(809\) | 0.943718 | − | 0.544856i | 0.0331794 | − | 0.0191561i | −0.483319 | − | 0.875445i | \(-0.660569\pi\) |
0.516498 | + | 0.856288i | \(0.327235\pi\) | |||||||
\(810\) | 14.0473 | + | 8.56909i | 0.493573 | + | 0.301087i | ||||
\(811\) | −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 | ||||
\(816\) | −11.9701 | − | 28.7761i | −0.419038 | − | 1.00736i | ||||
\(817\) | 16.9235 | − | 29.3123i | 0.592077 | − | 1.02551i | ||||
\(818\) | 21.1770 | − | 17.8423i | 0.740437 | − | 0.623842i | ||||
\(819\) | −15.6209 | − | 8.72642i | −0.545838 | − | 0.304926i | ||||
\(820\) | −3.55803 | − | 0.612633i | −0.124252 | − | 0.0213941i | ||||
\(821\) | −8.63020 | + | 14.9479i | −0.301196 | + | 0.521687i | −0.976407 | − | 0.215938i | \(-0.930719\pi\) |
0.675211 | + | 0.737625i | \(0.264053\pi\) | |||||||
\(822\) | −31.8684 | − | 4.34251i | −1.11154 | − | 0.151463i | ||||
\(823\) | −31.7271 | + | 18.3176i | −1.10594 | + | 0.638513i | −0.937774 | − | 0.347246i | \(-0.887117\pi\) |
−0.168163 | + | 0.985759i | \(0.553783\pi\) | |||||||
\(824\) | 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 | \(0.700108\pi\) | |||||||
\(828\) | −6.01111 | − | 1.66919i | −0.208901 | − | 0.0580082i | ||||
\(829\) | −29.9474 | + | 17.2901i | −1.04011 | + | 0.600511i | −0.919866 | − | 0.392233i | \(-0.871703\pi\) |
−0.120249 | + | 0.992744i | \(0.538369\pi\) | |||||||
\(830\) | 2.94989 | − | 8.15575i | 0.102392 | − | 0.283090i | ||||
\(831\) | 1.98405 | − | 6.15201i | 0.0688260 | − | 0.213411i | ||||
\(832\) | −15.7260 | − | 8.82818i | −0.545201 | − | 0.306062i | ||||
\(833\) | 30.1327 | + | 9.14339i | 1.04404 | + | 0.316800i | ||||
\(834\) | −25.1286 | − | 19.4633i | −0.870131 | − | 0.673959i | ||||
\(835\) | −7.68021 | + | 13.3025i | −0.265785 | + | 0.460353i | ||||
\(836\) | −7.17722 | − | 19.4752i | −0.248229 | − | 0.673564i | ||||
\(837\) | −20.3230 | − | 8.88915i | −0.702465 | − | 0.307254i | ||||
\(838\) | −38.4520 | + | 6.85987i | −1.32830 | + | 0.236970i | ||||
\(839\) | 39.6383 | 1.36847 | 0.684233 | − | 0.729264i | \(-0.260137\pi\) | ||||
0.684233 | + | 0.729264i | \(0.260137\pi\) | |||||||
\(840\) | −15.8408 | + | 5.46400i | −0.546558 | + | 0.188526i | ||||
\(841\) | −27.2553 | −0.939839 | ||||||||
\(842\) | −13.0344 | + | 2.32536i | −0.449196 | + | 0.0801371i | ||||
\(843\) | 21.8850 | + | 24.1991i | 0.753758 | + | 0.833462i | ||||
\(844\) | −3.66710 | + | 1.35144i | −0.126227 | + | 0.0465186i | ||||
\(845\) | 5.11825 | − | 8.86506i | 0.176073 | − | 0.304967i | ||||
\(846\) | −21.6677 | + | 45.1547i | −0.744952 | + | 1.55245i | ||||
\(847\) | 16.1225 | − | 11.9562i | 0.553975 | − | 0.410820i | ||||
\(848\) | 45.4545 | + | 16.1313i | 1.56092 | + | 0.553950i | ||||
\(849\) | 35.5159 | + | 11.4541i | 1.21890 | + | 0.393102i | ||||
\(850\) | 7.20271 | − | 19.9138i | 0.247051 | − | 0.683037i | ||||
\(851\) | −8.50934 | + | 4.91287i | −0.291696 | + | 0.168411i | ||||
\(852\) | 22.5213 | − | 42.9983i | 0.771568 | − | 1.47310i | ||||
\(853\) | − | 10.8810i | − | 0.372557i | −0.982497 | − | 0.186279i | \(-0.940357\pi\) | ||
0.982497 | − | 0.186279i | \(-0.0596427\pi\) | |||||||
\(854\) | 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 | \(-0.378792\pi\) |
0.989820 | + | 0.142328i | \(0.0454588\pi\) | |||||||
\(858\) | 1.37745 | − | 10.1087i | 0.0470253 | − | 0.345105i | ||||
\(859\) | 11.4205 | − | 19.7808i | 0.389661 | − | 0.674912i | −0.602743 | − | 0.797935i | \(-0.705926\pi\) |
0.992404 | + | 0.123023i | \(0.0392589\pi\) | |||||||
\(860\) | 2.64376 | − | 15.3543i | 0.0901515 | − | 0.523579i | ||||
\(861\) | −2.05000 | − | 6.06157i | −0.0698639 | − | 0.206578i | ||||
\(862\) | −9.14861 | + | 7.70800i | −0.311603 | + | 0.262535i | ||||
\(863\) | −2.49061 | + | 4.31386i | −0.0847813 | + | 0.146846i | −0.905298 | − | 0.424777i | \(-0.860353\pi\) |
0.820517 | + | 0.571623i | \(0.193686\pi\) | |||||||
\(864\) | −1.56306 | + | 29.3523i | −0.0531765 | + | 0.998585i | ||||
\(865\) | −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 | ||||||||
\(870\) | −3.87158 | + | 1.58315i | −0.131259 | + | 0.0536738i | ||||
\(871\) | −11.9303 | + | 6.88795i | −0.404242 | + | 0.233389i | ||||
\(872\) | −30.2782 | − | 17.2384i | −1.02535 | − | 0.583766i | ||||
\(873\) | −2.62511 | + | 26.0722i | −0.0888465 | + | 0.882409i | ||||
\(874\) | −6.31646 | + | 5.32182i | −0.213658 | + | 0.180013i | ||||
\(875\) | −26.1368 | − | 11.3320i | −0.883585 | − | 0.383091i | ||||
\(876\) | 30.3658 | − | 1.24917i | 1.02597 | − | 0.0422054i | ||||
\(877\) | −25.7564 | − | 14.8705i | −0.869731 | − | 0.502139i | −0.00247223 | − | 0.999997i | \(-0.500787\pi\) |
−0.867259 | + | 0.497857i | \(0.834120\pi\) | |||||||
\(878\) | −11.2530 | + | 31.1119i | −0.379771 | + | 1.04998i | ||||
\(879\) | −5.31597 | + | 4.80761i | −0.179303 | + | 0.162157i | ||||
\(880\) | −6.19996 | − | 7.26927i | −0.209000 | − | 0.245047i | ||||
\(881\) | − | 34.5022i | − | 1.16241i | −0.813757 | − | 0.581205i | \(-0.802581\pi\) | ||
0.813757 | − | 0.581205i | \(-0.197419\pi\) | |||||||
\(882\) | −21.8911 | − | 20.0694i | −0.737112 | − | 0.675771i | ||||
\(883\) | 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 | ||||
\(885\) | 16.6100 | + | 18.3664i | 0.558338 | + | 0.617378i | ||||
\(886\) | 2.95044 | − | 8.15726i | 0.0991219 | − | 0.274049i | ||||
\(887\) | 20.1225 | − | 34.8531i | 0.675646 | − | 1.17025i | −0.300634 | − | 0.953740i | \(-0.597198\pi\) |
0.976280 | − | 0.216513i | \(-0.0694685\pi\) | |||||||
\(888\) | 31.2594 | + | 34.1484i | 1.04900 | + | 1.14595i | ||||
\(889\) | 22.9140 | − | 52.8503i | 0.768512 | − | 1.77254i | ||||
\(890\) | 11.3068 | + | 13.4200i | 0.379003 | + | 0.449838i | ||||
\(891\) | −15.7687 | + | 5.27643i | −0.528272 | + | 0.176767i | ||||
\(892\) | −2.48963 | − | 6.75555i | −0.0833591 | − | 0.226193i | ||||
\(893\) | 33.1544 | + | 57.4251i | 1.10947 | + | 1.92166i | ||||
\(894\) | 15.5095 | − | 6.34210i | 0.518717 | − | 0.212112i | ||||
\(895\) | − | 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 | ||||
\(900\) | −14.2497 | + | 13.9938i | −0.474989 | + | 0.466459i | ||||
\(901\) | 46.9757 | + | 27.1214i | 1.56499 | + | 0.903546i | ||||
\(902\) | 2.79014 | − | 2.35078i | 0.0929015 | − | 0.0782725i | ||||
\(903\) | 26.1581 | − | 8.84659i | 0.870488 | − | 0.294396i | ||||
\(904\) | 17.7593 | − | 10.3967i | 0.590664 | − | 0.345788i | ||||
\(905\) | −5.00324 | − | 2.88862i | −0.166313 | − | 0.0960210i | ||||
\(906\) | 8.86285 | + | 1.20769i | 0.294448 | + | 0.0401227i | ||||
\(907\) | −3.79336 | − | 6.57028i | −0.125956 | − | 0.218163i | 0.796150 | − | 0.605099i | \(-0.206867\pi\) |
−0.922106 | + | 0.386937i | \(0.873533\pi\) | |||||||
\(908\) | −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 | \(-0.696281\pi\) | ||||
−0.578294 | + | 0.815828i | \(0.696281\pi\) | |||||||
\(912\) | 30.9096 | + | 23.6441i | 1.02352 | + | 0.782933i | ||||
\(913\) | 4.38211 | + | 7.59004i | 0.145027 | + | 0.251194i | ||||
\(914\) | 4.04253 | + | 1.46216i | 0.133715 | + | 0.0483640i | ||||
\(915\) | −6.07293 | + | 18.8305i | −0.200765 | + | 0.622518i | ||||
\(916\) | 25.6730 | + | 4.42045i | 0.848259 | + | 0.146056i | ||||
\(917\) | 8.47870 | + | 11.4332i | 0.279991 | + | 0.377557i | ||||
\(918\) | −7.72209 | + | 32.1424i | −0.254867 | + | 1.06086i | ||||
\(919\) | 14.5134 | + | 8.37933i | 0.478754 | + | 0.276409i | 0.719897 | − | 0.694081i | \(-0.244189\pi\) |
−0.241143 | + | 0.970490i | \(0.577522\pi\) | |||||||
\(920\) | −1.88110 | + | 3.30402i | −0.0620179 | + | 0.108930i | ||||
\(921\) | −5.94981 | + | 5.38083i | −0.196053 | + | 0.177304i | ||||
\(922\) | 7.63913 | + | 42.8200i | 0.251581 | + | 1.41020i | ||||
\(923\) | − | 31.5877i | − | 1.03972i | ||||||
\(924\) | 6.09155 | − | 15.7996i | 0.200397 | − | 0.519768i | ||||
\(925\) | 31.4559i | 1.03426i | ||||||||
\(926\) | 13.2839 | − | 2.36987i | 0.436537 | − | 0.0778786i | ||||
\(927\) | 7.86748 | − | 10.9288i | 0.258402 | − | 0.358949i | ||||
\(928\) | −5.77179 | − | 4.74504i | −0.189468 | − | 0.155764i | ||||
\(929\) | −18.0406 | − | 10.4157i | −0.591892 | − | 0.341729i | 0.173953 | − | 0.984754i | \(-0.444346\pi\) |
−0.765845 | + | 0.643025i | \(0.777679\pi\) | |||||||
\(930\) | −8.27800 | + | 10.6875i | −0.271446 | + | 0.350457i | ||||
\(931\) | −38.2928 | + | 8.92528i | −1.25499 | + | 0.292514i | ||||
\(932\) | 31.0810 | + | 5.35162i | 1.01809 | + | 0.175298i | ||||
\(933\) | 23.2390 | + | 7.49470i | 0.760812 | + | 0.245366i | ||||
\(934\) | 2.42410 | − | 6.70206i | 0.0793190 | − | 0.219298i | ||||
\(935\) | −5.37240 | − | 9.30527i | −0.175696 | − | 0.304315i | ||||
\(936\) | 7.96165 | + | 17.3929i | 0.260235 | + | 0.568504i | ||||
\(937\) | 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 | −0.901945 | − | 0.431850i | \(-0.857861\pi\) |
0.0769795 | − | 0.997033i | \(-0.475472\pi\) | |||||||
\(942\) | 6.57429 | + | 0.895838i | 0.214202 | + | 0.0291880i | ||||
\(943\) | −1.25735 | − | 0.725930i | −0.0409449 | − | 0.0236395i | ||||
\(944\) | −14.7947 | + | 41.6883i | −0.481526 | + | 1.35684i | ||||
\(945\) | 16.9907 | + | 5.21538i | 0.552707 | + | 0.169656i | ||||
\(946\) | 10.1446 | + | 12.0406i | 0.329828 | + | 0.391473i | ||||
\(947\) | −31.6220 | − | 18.2569i | −1.02758 | − | 0.593271i | −0.111286 | − | 0.993788i | \(-0.535497\pi\) |
−0.916289 | + | 0.400517i | \(0.868830\pi\) | |||||||
\(948\) | 8.01021 | − | 5.07474i | 0.260159 | − | 0.164820i | ||||
\(949\) | 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 | \(0.897467\pi\) | |||||||
\(954\) | −28.8772 | − | 42.2283i | −0.934934 | − | 1.36719i | ||||
\(955\) | −14.5791 | − | 25.2517i | −0.471768 | − | 0.817125i | ||||
\(956\) | −42.6852 | + | 15.7308i | −1.38054 | + | 0.508771i | ||||
\(957\) | 1.29737 | − | 4.02280i | 0.0419381 | − | 0.130039i | ||||
\(958\) | 29.4838 | − | 24.8411i | 0.952579 | − | 0.802578i | ||||
\(959\) | −34.5125 | + | 3.96889i | −1.11447 | + | 0.128162i | ||||
\(960\) | 17.1140 | + | 5.29227i | 0.552352 | + | 0.170807i | ||||
\(961\) | −6.38814 | + | 11.0646i | −0.206069 | + | 0.356922i | ||||
\(962\) | 28.3312 | + | 10.2472i | 0.913434 | + | 0.330384i | ||||
\(963\) | 12.7077 | − | 17.6524i | 0.409499 | − | 0.568840i | ||||
\(964\) | 20.9701 | + | 17.4528i | 0.675402 | + | 0.562116i | ||||
\(965\) | −7.50596 | −0.241625 | ||||||||
\(966\) | −6.73694 | − | 0.141051i | −0.216757 | − | 0.00453823i | ||||
\(967\) | − | 43.0521i | − | 1.38446i | −0.721675 | − | 0.692232i | \(-0.756628\pi\) | ||
0.721675 | − | 0.692232i | \(-0.243372\pi\) | |||||||
\(968\) | −21.4575 | + | 0.129443i | −0.689670 | + | 0.00416045i | ||||
\(969\) | 29.3560 | + | 32.4601i | 0.943049 | + | 1.04277i | ||||
\(970\) | 15.0174 | + | 5.43173i | 0.482181 | + | 0.174402i | ||||
\(971\) | 27.2617 | + | 15.7395i | 0.874868 | + | 0.505105i | 0.868963 | − | 0.494877i | \(-0.164787\pi\) |
0.00590513 | + | 0.999983i | \(0.498120\pi\) | |||||||
\(972\) | 19.6808 | − | 24.1798i | 0.631263 | − | 0.775569i | ||||
\(973\) | −31.4983 | − | 13.6566i | −1.00979 | − | 0.437809i | ||||
\(974\) | 0.952763 | + | 1.13083i | 0.0305285 | + | 0.0362342i | ||||
\(975\) | −3.98928 | + | 12.3697i | −0.127759 | + | 0.396147i | ||||
\(976\) | −34.7566 | + | 6.41718i | −1.11253 | + | 0.205409i | ||||
\(977\) | 35.4465 | − | 20.4650i | 1.13403 | − | 0.654734i | 0.189087 | − | 0.981960i | \(-0.439447\pi\) |
0.944946 | + | 0.327226i | \(0.106114\pi\) | |||||||
\(978\) | −20.0354 | + | 8.19280i | −0.640661 | + | 0.261977i | ||||
\(979\) | −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 | \(-0.124518\pi\) |
−0.792430 | + | 0.609963i | \(0.791184\pi\) | |||||||
\(984\) | −2.06034 | + | 6.52300i | −0.0656812 | + | 0.207946i | ||||
\(985\) | −2.04181 | + | 3.53652i | −0.0650574 | + | 0.112683i | ||||
\(986\) | −5.41430 | − | 6.42623i | −0.172427 | − | 0.204653i | ||||
\(987\) | −10.6137 | + | 53.0458i | −0.337837 | + | 1.68847i | ||||
\(988\) | 24.9578 | + | 4.29732i | 0.794014 | + | 0.136716i | ||||
\(989\) | 3.13268 | − | 5.42596i | 0.0996135 | − | 0.172536i | ||||
\(990\) | 0.771397 | + | 10.1043i | 0.0245166 | + | 0.321136i | ||||
\(991\) | 27.2946 | − | 15.7586i | 0.867043 | − | 0.500587i | 0.000678305 | − | 1.00000i | \(-0.499784\pi\) |
0.866364 | + | 0.499412i | \(0.166451\pi\) | |||||||
\(992\) | −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 | ||||||
\(996\) | −14.5567 | − | 7.62439i | −0.461246 | − | 0.241588i | ||||
\(997\) | 46.6045 | − | 26.9071i | 1.47598 | − | 0.852157i | 0.476347 | − | 0.879258i | \(-0.341961\pi\) |
0.999633 | + | 0.0271004i | \(0.00862738\pi\) | |||||||
\(998\) | −38.2343 | − | 13.8292i | −1.21029 | − | 0.437754i | ||||
\(999\) | −5.45285 | − | 48.8000i | −0.172521 | − | 1.54396i |
(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.107.13 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.107.16 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.527.6 | 56 | |||
7.4 | even | 3 | inner | 168.2.v.a.11.25 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.107.4 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.527.5 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.527.25 | 56 | |||
21.11 | odd | 6 | inner | 168.2.v.a.11.4 | ✓ | 56 | |
24.5 | odd | 2 | 672.2.bd.a.527.26 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.107.25 | yes | 56 | |
28.11 | odd | 6 | 672.2.bd.a.431.26 | 56 | |||
56.11 | odd | 6 | inner | 168.2.v.a.11.16 | yes | 56 | |
56.53 | even | 6 | 672.2.bd.a.431.25 | 56 | |||
84.11 | even | 6 | 672.2.bd.a.431.5 | 56 | |||
168.11 | even | 6 | inner | 168.2.v.a.11.13 | yes | 56 | |
168.53 | odd | 6 | 672.2.bd.a.431.6 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.4 | ✓ | 56 | 21.11 | odd | 6 | inner | |
168.2.v.a.11.13 | yes | 56 | 168.11 | even | 6 | inner | |
168.2.v.a.11.16 | yes | 56 | 56.11 | odd | 6 | inner | |
168.2.v.a.11.25 | yes | 56 | 7.4 | even | 3 | inner | |
168.2.v.a.107.4 | yes | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.107.13 | yes | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.107.16 | yes | 56 | 3.2 | odd | 2 | inner | |
168.2.v.a.107.25 | yes | 56 | 24.11 | even | 2 | inner | |
672.2.bd.a.431.5 | 56 | 84.11 | even | 6 | |||
672.2.bd.a.431.6 | 56 | 168.53 | odd | 6 | |||
672.2.bd.a.431.25 | 56 | 56.53 | even | 6 | |||
672.2.bd.a.431.26 | 56 | 28.11 | odd | 6 | |||
672.2.bd.a.527.5 | 56 | 8.5 | even | 2 | |||
672.2.bd.a.527.6 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.527.25 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.527.26 | 56 | 24.5 | odd | 2 |