Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 121.3 | ||
Character | \(\chi\) | \(=\) | 354.121 |
Dual form | 354.2.e.c.79.3 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{25}{29}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.907575 | − | 0.419889i | 0.641753 | − | 0.296906i | ||||
\(3\) | 0.947653 | + | 0.319302i | 0.547128 | + | 0.184349i | ||||
\(4\) | 0.647386 | − | 0.762162i | 0.323693 | − | 0.381081i | ||||
\(5\) | 1.95481 | + | 1.17617i | 0.874216 | + | 0.525998i | 0.880535 | − | 0.473982i | \(-0.157184\pi\) |
−0.00631865 | + | 0.999980i | \(0.502011\pi\) | |||||||
\(6\) | 0.994138 | − | 0.108119i | 0.405855 | − | 0.0441394i | ||||
\(7\) | 0.00134066 | − | 0.0247270i | 0.000506721 | − | 0.00934592i | −0.998269 | − | 0.0588113i | \(-0.981269\pi\) |
0.998776 | + | 0.0494654i | \(0.0157517\pi\) | |||||||
\(8\) | 0.267528 | − | 0.963550i | 0.0945856 | − | 0.340666i | ||||
\(9\) | 0.796093 | + | 0.605174i | 0.265364 | + | 0.201725i | ||||
\(10\) | 2.26799 | + | 0.246659i | 0.717203 | + | 0.0780005i | ||||
\(11\) | −0.227575 | + | 1.38814i | −0.0686163 | + | 0.418541i | 0.930074 | + | 0.367373i | \(0.119743\pi\) |
−0.998690 | + | 0.0511681i | \(0.983706\pi\) | |||||||
\(12\) | 0.856857 | − | 0.515554i | 0.247353 | − | 0.148828i | ||||
\(13\) | −4.57419 | + | 3.47721i | −1.26865 | + | 0.964405i | −0.268654 | + | 0.963237i | \(0.586579\pi\) |
−0.999999 | + | 0.00116846i | \(0.999628\pi\) | |||||||
\(14\) | −0.00916584 | − | 0.0230045i | −0.00244967 | − | 0.00614822i | ||||
\(15\) | 1.47693 | + | 1.73877i | 0.381341 | + | 0.448949i | ||||
\(16\) | −0.161782 | − | 0.986827i | −0.0404455 | − | 0.246707i | ||||
\(17\) | −0.409163 | − | 7.54657i | −0.0992367 | − | 1.83031i | −0.449066 | − | 0.893499i | \(-0.648243\pi\) |
0.349829 | − | 0.936814i | \(-0.386240\pi\) | |||||||
\(18\) | 0.976621 | + | 0.214970i | 0.230192 | + | 0.0506690i | ||||
\(19\) | 3.23236 | − | 3.06186i | 0.741555 | − | 0.702438i | −0.220472 | − | 0.975393i | \(-0.570760\pi\) |
0.962027 | + | 0.272955i | \(0.0880011\pi\) | |||||||
\(20\) | 2.16195 | − | 0.728444i | 0.483426 | − | 0.162885i | ||||
\(21\) | 0.00916584 | − | 0.0230045i | 0.00200015 | − | 0.00502000i | ||||
\(22\) | 0.376325 | + | 1.35540i | 0.0802328 | + | 0.288972i | ||||
\(23\) | −7.40499 | + | 1.62996i | −1.54405 | + | 0.339871i | −0.903684 | − | 0.428201i | \(-0.859148\pi\) |
−0.640364 | + | 0.768071i | \(0.721217\pi\) | |||||||
\(24\) | 0.561187 | − | 0.827689i | 0.114552 | − | 0.168951i | ||||
\(25\) | 0.0958550 | + | 0.180802i | 0.0191710 | + | 0.0361603i | ||||
\(26\) | −2.69138 | + | 5.07649i | −0.527824 | + | 0.995581i | ||||
\(27\) | 0.561187 | + | 0.827689i | 0.108001 | + | 0.159289i | ||||
\(28\) | −0.0179780 | − | 0.0170297i | −0.00339753 | − | 0.00321831i | ||||
\(29\) | 4.18650 | + | 1.93688i | 0.777414 | + | 0.359670i | 0.768136 | − | 0.640287i | \(-0.221184\pi\) |
0.00927836 | + | 0.999957i | \(0.497047\pi\) | |||||||
\(30\) | 2.07051 | + | 0.957922i | 0.378022 | + | 0.174892i | ||||
\(31\) | 7.48442 | + | 7.08962i | 1.34424 | + | 1.27333i | 0.932094 | + | 0.362217i | \(0.117980\pi\) |
0.412148 | + | 0.911117i | \(0.364779\pi\) | |||||||
\(32\) | −0.561187 | − | 0.827689i | −0.0992048 | − | 0.146316i | ||||
\(33\) | −0.658898 | + | 1.24281i | −0.114699 | + | 0.216346i | ||||
\(34\) | −3.54007 | − | 6.67728i | −0.607117 | − | 1.14514i | ||||
\(35\) | 0.0317038 | − | 0.0467596i | 0.00535892 | − | 0.00790382i | ||||
\(36\) | 0.976621 | − | 0.214970i | 0.162770 | − | 0.0358284i | ||||
\(37\) | −2.90855 | − | 10.4757i | −0.478163 | − | 1.72219i | −0.671455 | − | 0.741045i | \(-0.734330\pi\) |
0.193292 | − | 0.981141i | \(-0.438083\pi\) | |||||||
\(38\) | 1.64797 | − | 4.13610i | 0.267336 | − | 0.670964i | ||||
\(39\) | −5.44503 | + | 1.83464i | −0.871902 | + | 0.293778i | ||||
\(40\) | 1.65626 | − | 1.56890i | 0.261878 | − | 0.248064i | ||||
\(41\) | −9.28422 | − | 2.04361i | −1.44995 | − | 0.319158i | −0.580938 | − | 0.813948i | \(-0.697314\pi\) |
−0.869013 | + | 0.494789i | \(0.835245\pi\) | |||||||
\(42\) | −0.00134066 | − | 0.0247270i | −0.000206868 | − | 0.00381546i | ||||
\(43\) | −0.628136 | − | 3.83146i | −0.0957898 | − | 0.584292i | −0.990486 | − | 0.137616i | \(-0.956056\pi\) |
0.894696 | − | 0.446676i | \(-0.147392\pi\) | |||||||
\(44\) | 0.910662 | + | 1.07211i | 0.137287 | + | 0.161627i | ||||
\(45\) | 0.844421 | + | 2.11934i | 0.125879 | + | 0.315932i | ||||
\(46\) | −6.03619 | + | 4.58859i | −0.889987 | + | 0.676551i | ||||
\(47\) | −4.50656 | + | 2.71151i | −0.657349 | + | 0.395514i | −0.804792 | − | 0.593557i | \(-0.797723\pi\) |
0.147443 | + | 0.989071i | \(0.452896\pi\) | |||||||
\(48\) | 0.161782 | − | 0.986827i | 0.0233512 | − | 0.142436i | ||||
\(49\) | 6.95836 | + | 0.756767i | 0.994051 | + | 0.108110i | ||||
\(50\) | 0.162912 | + | 0.123843i | 0.0230393 | + | 0.0175140i | ||||
\(51\) | 2.02189 | − | 7.28218i | 0.283121 | − | 1.01971i | ||||
\(52\) | −0.311072 | + | 5.73738i | −0.0431379 | + | 0.795631i | ||||
\(53\) | 0.345271 | − | 0.0375504i | 0.0474266 | − | 0.00515795i | −0.0843750 | − | 0.996434i | \(-0.526889\pi\) |
0.131802 | + | 0.991276i | \(0.457924\pi\) | |||||||
\(54\) | 0.856857 | + | 0.515554i | 0.116603 | + | 0.0701580i | ||||
\(55\) | −2.07755 | + | 2.44589i | −0.280137 | + | 0.329803i | ||||
\(56\) | −0.0234670 | − | 0.00790696i | −0.00313591 | − | 0.00105661i | ||||
\(57\) | 4.04081 | − | 1.86948i | 0.535219 | − | 0.247619i | ||||
\(58\) | 4.61284 | 0.605696 | ||||||||
\(59\) | −6.76228 | + | 3.64302i | −0.880374 | + | 0.474280i | ||||
\(60\) | 2.28137 | 0.294523 | ||||||||
\(61\) | 4.08821 | − | 1.89141i | 0.523442 | − | 0.242170i | −0.140330 | − | 0.990105i | \(-0.544816\pi\) |
0.663772 | + | 0.747935i | \(0.268954\pi\) | |||||||
\(62\) | 9.76953 | + | 3.29174i | 1.24073 | + | 0.418051i | ||||
\(63\) | 0.0160314 | − | 0.0188736i | 0.00201977 | − | 0.00237786i | ||||
\(64\) | −0.856857 | − | 0.515554i | −0.107107 | − | 0.0644442i | ||||
\(65\) | −13.0315 | + | 1.41726i | −1.61635 | + | 0.175789i | ||||
\(66\) | −0.0761558 | + | 1.40461i | −0.00937413 | + | 0.172896i | ||||
\(67\) | −2.98122 | + | 10.7374i | −0.364214 | + | 1.31178i | 0.523752 | + | 0.851871i | \(0.324532\pi\) |
−0.887966 | + | 0.459910i | \(0.847882\pi\) | |||||||
\(68\) | −6.01660 | − | 4.57370i | −0.729620 | − | 0.554642i | ||||
\(69\) | −7.53782 | − | 0.819787i | −0.907446 | − | 0.0986907i | ||||
\(70\) | 0.00913974 | − | 0.0557500i | 0.00109241 | − | 0.00666339i | ||||
\(71\) | −7.98287 | + | 4.80314i | −0.947393 | + | 0.570027i | −0.903304 | − | 0.429000i | \(-0.858866\pi\) |
−0.0440886 | + | 0.999028i | \(0.514038\pi\) | |||||||
\(72\) | 0.796093 | − | 0.605174i | 0.0938205 | − | 0.0713205i | ||||
\(73\) | 1.26222 | + | 3.16792i | 0.147731 | + | 0.370778i | 0.984156 | − | 0.177304i | \(-0.0567376\pi\) |
−0.836425 | + | 0.548082i | \(0.815358\pi\) | |||||||
\(74\) | −7.03834 | − | 8.28618i | −0.818191 | − | 0.963248i | ||||
\(75\) | 0.0331070 | + | 0.201944i | 0.00382287 | + | 0.0233185i | ||||
\(76\) | −0.241044 | − | 4.44579i | −0.0276496 | − | 0.509967i | ||||
\(77\) | 0.0340195 | + | 0.00748826i | 0.00387688 | + | 0.000853366i | ||||
\(78\) | −4.17143 | + | 3.95139i | −0.472321 | + | 0.447406i | ||||
\(79\) | −1.81302 | + | 0.610877i | −0.203980 | + | 0.0687290i | −0.419437 | − | 0.907784i | \(-0.637773\pi\) |
0.215457 | + | 0.976513i | \(0.430876\pi\) | |||||||
\(80\) | 0.844421 | − | 2.11934i | 0.0944092 | − | 0.236949i | ||||
\(81\) | 0.267528 | + | 0.963550i | 0.0297254 | + | 0.107061i | ||||
\(82\) | −9.28422 | + | 2.04361i | −1.02527 | + | 0.225679i | ||||
\(83\) | 5.95128 | − | 8.77749i | 0.653238 | − | 0.963454i | −0.346440 | − | 0.938072i | \(-0.612609\pi\) |
0.999678 | − | 0.0253821i | \(-0.00808024\pi\) | |||||||
\(84\) | −0.0115993 | − | 0.0218787i | −0.00126559 | − | 0.00238716i | ||||
\(85\) | 8.07620 | − | 15.2333i | 0.875987 | − | 1.65229i | ||||
\(86\) | −2.17887 | − | 3.21359i | −0.234953 | − | 0.346530i | ||||
\(87\) | 3.34890 | + | 3.17225i | 0.359040 | + | 0.340101i | ||||
\(88\) | 1.27666 | + | 0.590647i | 0.136093 | + | 0.0629632i | ||||
\(89\) | −2.80941 | − | 1.29977i | −0.297797 | − | 0.137775i | 0.265301 | − | 0.964166i | \(-0.414529\pi\) |
−0.563098 | + | 0.826390i | \(0.690391\pi\) | |||||||
\(90\) | 1.65626 | + | 1.56890i | 0.174585 | + | 0.165376i | ||||
\(91\) | 0.0798485 | + | 0.117768i | 0.00837040 | + | 0.0123454i | ||||
\(92\) | −3.55160 | + | 6.69902i | −0.370279 | + | 0.698421i | ||||
\(93\) | 4.82891 | + | 9.10829i | 0.500735 | + | 0.944486i | ||||
\(94\) | −2.95151 | + | 4.35315i | −0.304425 | + | 0.448993i | ||||
\(95\) | 9.91990 | − | 2.18354i | 1.01776 | − | 0.224026i | ||||
\(96\) | −0.267528 | − | 0.963550i | −0.0273045 | − | 0.0983419i | ||||
\(97\) | −1.58586 | + | 3.98022i | −0.161020 | + | 0.404130i | −0.987245 | − | 0.159211i | \(-0.949105\pi\) |
0.826224 | + | 0.563341i | \(0.190484\pi\) | |||||||
\(98\) | 6.63299 | − | 2.23491i | 0.670033 | − | 0.225760i | ||||
\(99\) | −1.02124 | + | 0.967369i | −0.102638 | + | 0.0972242i | ||||
\(100\) | 0.199855 | + | 0.0439915i | 0.0199855 | + | 0.00439915i | ||||
\(101\) | 0.453650 | + | 8.36709i | 0.0451399 | + | 0.832557i | 0.930194 | + | 0.367068i | \(0.119638\pi\) |
−0.885054 | + | 0.465488i | \(0.845879\pi\) | |||||||
\(102\) | −1.22269 | − | 7.45809i | −0.121065 | − | 0.738461i | ||||
\(103\) | −4.15882 | − | 4.89615i | −0.409781 | − | 0.482432i | 0.518094 | − | 0.855324i | \(-0.326642\pi\) |
−0.927875 | + | 0.372892i | \(0.878366\pi\) | |||||||
\(104\) | 2.12674 | + | 5.33772i | 0.208544 | + | 0.523406i | ||||
\(105\) | 0.0449746 | − | 0.0341888i | 0.00438907 | − | 0.00333649i | ||||
\(106\) | 0.297592 | − | 0.179055i | 0.0289047 | − | 0.0173914i | ||||
\(107\) | −0.928588 | + | 5.66414i | −0.0897700 | + | 0.547573i | 0.903201 | + | 0.429217i | \(0.141211\pi\) |
−0.992971 | + | 0.118356i | \(0.962238\pi\) | |||||||
\(108\) | 0.994138 | + | 0.108119i | 0.0956610 | + | 0.0104038i | ||||
\(109\) | 9.84433 | + | 7.48346i | 0.942916 | + | 0.716786i | 0.959095 | − | 0.283083i | \(-0.0913573\pi\) |
−0.0161797 | + | 0.999869i | \(0.505150\pi\) | |||||||
\(110\) | −0.858536 | + | 3.09217i | −0.0818582 | + | 0.294827i | ||||
\(111\) | 0.588595 | − | 10.8560i | 0.0558669 | − | 1.03040i | ||||
\(112\) | −0.0246181 | + | 0.00267738i | −0.00232619 | + | 0.000252989i | ||||
\(113\) | −4.19821 | − | 2.52598i | −0.394935 | − | 0.237624i | 0.304209 | − | 0.952605i | \(-0.401608\pi\) |
−0.699144 | + | 0.714981i | \(0.746435\pi\) | |||||||
\(114\) | 2.88237 | − | 3.39339i | 0.269959 | − | 0.317820i | ||||
\(115\) | −16.3924 | − | 5.52326i | −1.52860 | − | 0.515046i | ||||
\(116\) | 4.18650 | − | 1.93688i | 0.388707 | − | 0.179835i | ||||
\(117\) | −5.74580 | −0.531200 | ||||||||
\(118\) | −4.60762 | + | 6.14572i | −0.424165 | + | 0.565759i | ||||
\(119\) | −0.187152 | −0.0171562 | ||||||||
\(120\) | 2.07051 | − | 0.957922i | 0.189011 | − | 0.0874459i | ||||
\(121\) | 8.54903 | + | 2.88050i | 0.777185 | + | 0.261864i | ||||
\(122\) | 2.91618 | − | 3.43319i | 0.264019 | − | 0.310827i | ||||
\(123\) | −8.14569 | − | 4.90110i | −0.734472 | − | 0.441917i | ||||
\(124\) | 10.2488 | − | 1.11462i | 0.920365 | − | 0.100096i | ||||
\(125\) | 0.592279 | − | 10.9239i | 0.0529750 | − | 0.977067i | ||||
\(126\) | 0.00662488 | − | 0.0238607i | 0.000590191 | − | 0.00212568i | ||||
\(127\) | 12.0935 | + | 9.19328i | 1.07313 | + | 0.815771i | 0.983627 | − | 0.180215i | \(-0.0576794\pi\) |
0.0895018 | + | 0.995987i | \(0.471473\pi\) | |||||||
\(128\) | −0.994138 | − | 0.108119i | −0.0878702 | − | 0.00955646i | ||||
\(129\) | 0.628136 | − | 3.83146i | 0.0553043 | − | 0.337341i | ||||
\(130\) | −11.2319 | + | 6.75803i | −0.985106 | + | 0.592719i | ||||
\(131\) | 7.75016 | − | 5.89152i | 0.677135 | − | 0.514744i | −0.209151 | − | 0.977883i | \(-0.567070\pi\) |
0.886286 | + | 0.463139i | \(0.153277\pi\) | |||||||
\(132\) | 0.520664 | + | 1.30677i | 0.0453180 | + | 0.113740i | ||||
\(133\) | −0.0713769 | − | 0.0840314i | −0.00618917 | − | 0.00728645i | ||||
\(134\) | 1.80283 | + | 10.9968i | 0.155741 | + | 0.949976i | ||||
\(135\) | 0.123511 | + | 2.27802i | 0.0106301 | + | 0.196061i | ||||
\(136\) | −7.38096 | − | 1.62467i | −0.632912 | − | 0.139315i | ||||
\(137\) | 2.11672 | − | 2.00506i | 0.180843 | − | 0.171304i | −0.591923 | − | 0.805995i | \(-0.701631\pi\) |
0.772766 | + | 0.634691i | \(0.218872\pi\) | |||||||
\(138\) | −7.18536 | + | 2.42103i | −0.611658 | + | 0.206092i | ||||
\(139\) | −1.99625 | + | 5.01021i | −0.169320 | + | 0.424960i | −0.989010 | − | 0.147846i | \(-0.952766\pi\) |
0.819691 | + | 0.572806i | \(0.194145\pi\) | |||||||
\(140\) | −0.0151138 | − | 0.0544350i | −0.00127735 | − | 0.00460059i | ||||
\(141\) | −5.13644 | + | 1.13062i | −0.432567 | + | 0.0952151i | ||||
\(142\) | −5.22828 | + | 7.71113i | −0.438747 | + | 0.647104i | ||||
\(143\) | −3.78590 | − | 7.14096i | −0.316593 | − | 0.597157i | ||||
\(144\) | 0.468408 | − | 0.883512i | 0.0390340 | − | 0.0736260i | ||||
\(145\) | 5.90571 | + | 8.71026i | 0.490442 | + | 0.723348i | ||||
\(146\) | 2.47573 | + | 2.34514i | 0.204893 | + | 0.194085i | ||||
\(147\) | 6.35247 | + | 2.93897i | 0.523943 | + | 0.242402i | ||||
\(148\) | −9.86710 | − | 4.56501i | −0.811071 | − | 0.375241i | ||||
\(149\) | −12.0146 | − | 11.3808i | −0.984271 | − | 0.932351i | 0.0134441 | − | 0.999910i | \(-0.495720\pi\) |
−0.997715 | + | 0.0675584i | \(0.978479\pi\) | |||||||
\(150\) | 0.114841 | + | 0.169378i | 0.00937674 | + | 0.0138297i | ||||
\(151\) | 0.390522 | − | 0.736603i | 0.0317803 | − | 0.0599439i | −0.867113 | − | 0.498111i | \(-0.834027\pi\) |
0.898894 | + | 0.438167i | \(0.144372\pi\) | |||||||
\(152\) | −2.08550 | − | 3.93368i | −0.169157 | − | 0.319063i | ||||
\(153\) | 4.24126 | − | 6.25539i | 0.342885 | − | 0.505718i | ||||
\(154\) | 0.0340195 | − | 0.00748826i | 0.00274137 | − | 0.000603421i | ||||
\(155\) | 6.29201 | + | 22.6618i | 0.505386 | + | 1.82024i | ||||
\(156\) | −2.12674 | + | 5.33772i | −0.170276 | + | 0.427359i | ||||
\(157\) | 19.4262 | − | 6.54546i | 1.55038 | − | 0.522385i | 0.591529 | − | 0.806284i | \(-0.298525\pi\) |
0.958854 | + | 0.283899i | \(0.0916281\pi\) | |||||||
\(158\) | −1.38895 | + | 1.31568i | −0.110499 | + | 0.104670i | ||||
\(159\) | 0.339187 | + | 0.0746606i | 0.0268993 | + | 0.00592097i | ||||
\(160\) | −0.123511 | − | 2.27802i | −0.00976438 | − | 0.180093i | ||||
\(161\) | 0.0303765 | + | 0.185288i | 0.00239400 | + | 0.0146028i | ||||
\(162\) | 0.647386 | + | 0.762162i | 0.0508635 | + | 0.0598811i | ||||
\(163\) | 5.06557 | + | 12.7136i | 0.396766 | + | 0.995808i | 0.982659 | + | 0.185419i | \(0.0593644\pi\) |
−0.585893 | + | 0.810388i | \(0.699256\pi\) | |||||||
\(164\) | −7.56804 | + | 5.75307i | −0.590964 | + | 0.449239i | ||||
\(165\) | −2.74978 | + | 1.65449i | −0.214070 | + | 0.128801i | ||||
\(166\) | 1.71567 | − | 10.4651i | 0.133162 | − | 0.812250i | ||||
\(167\) | 14.9527 | + | 1.62621i | 1.15708 | + | 0.125840i | 0.666463 | − | 0.745538i | \(-0.267807\pi\) |
0.490613 | + | 0.871378i | \(0.336773\pi\) | |||||||
\(168\) | −0.0197139 | − | 0.0149861i | −0.00152096 | − | 0.00115620i | ||||
\(169\) | 5.35438 | − | 19.2847i | 0.411876 | − | 1.48344i | ||||
\(170\) | 0.933452 | − | 17.2165i | 0.0715925 | − | 1.32045i | ||||
\(171\) | 4.42622 | − | 0.481380i | 0.338481 | − | 0.0368121i | ||||
\(172\) | −3.32684 | − | 2.00169i | −0.253669 | − | 0.152628i | ||||
\(173\) | 3.63673 | − | 4.28150i | 0.276496 | − | 0.325516i | −0.606333 | − | 0.795211i | \(-0.707360\pi\) |
0.882829 | + | 0.469695i | \(0.155636\pi\) | |||||||
\(174\) | 4.37138 | + | 1.47289i | 0.331393 | + | 0.111659i | ||||
\(175\) | 0.00459919 | − | 0.00212781i | 0.000347666 | − | 0.000160847i | ||||
\(176\) | 1.40667 | 0.106032 | ||||||||
\(177\) | −7.57152 | + | 1.29311i | −0.569110 | + | 0.0971961i | ||||
\(178\) | −3.09551 | −0.232018 | ||||||||
\(179\) | −2.15208 | + | 0.995659i | −0.160854 | + | 0.0744190i | −0.498664 | − | 0.866795i | \(-0.666176\pi\) |
0.337810 | + | 0.941214i | \(0.390314\pi\) | |||||||
\(180\) | 2.16195 | + | 0.728444i | 0.161142 | + | 0.0542950i | ||||
\(181\) | 2.90897 | − | 3.42470i | 0.216222 | − | 0.254556i | −0.643348 | − | 0.765573i | \(-0.722455\pi\) |
0.859570 | + | 0.511017i | \(0.170731\pi\) | |||||||
\(182\) | 0.121918 | + | 0.0733556i | 0.00903716 | + | 0.00543748i | ||||
\(183\) | 4.47814 | − | 0.487027i | 0.331034 | − | 0.0360021i | ||||
\(184\) | −0.410495 | + | 7.57114i | −0.0302621 | + | 0.558152i | ||||
\(185\) | 6.63547 | − | 23.8988i | 0.487850 | − | 1.75708i | ||||
\(186\) | 8.20707 | + | 6.23885i | 0.601772 | + | 0.457455i | ||||
\(187\) | 10.5688 | + | 1.14943i | 0.772870 | + | 0.0840547i | ||||
\(188\) | −0.850877 | + | 5.19012i | −0.0620566 | + | 0.378529i | ||||
\(189\) | 0.0212186 | − | 0.0127668i | 0.00154343 | − | 0.000928649i | ||||
\(190\) | 8.08621 | − | 6.14698i | 0.586636 | − | 0.445949i | ||||
\(191\) | 7.53653 | + | 18.9153i | 0.545324 | + | 1.36866i | 0.900905 | + | 0.434016i | \(0.142904\pi\) |
−0.355581 | + | 0.934646i | \(0.615717\pi\) | |||||||
\(192\) | −0.647386 | − | 0.762162i | −0.0467211 | − | 0.0550043i | ||||
\(193\) | −2.65513 | − | 16.1956i | −0.191120 | − | 1.16578i | −0.891842 | − | 0.452347i | \(-0.850587\pi\) |
0.700722 | − | 0.713435i | \(-0.252861\pi\) | |||||||
\(194\) | 0.231959 | + | 4.27824i | 0.0166537 | + | 0.307160i | ||||
\(195\) | −12.8018 | − | 2.81790i | −0.916758 | − | 0.201794i | ||||
\(196\) | 5.08152 | − | 4.81347i | 0.362966 | − | 0.343820i | ||||
\(197\) | 18.8389 | − | 6.34758i | 1.34222 | − | 0.452246i | 0.445673 | − | 0.895196i | \(-0.352964\pi\) |
0.896547 | + | 0.442949i | \(0.146068\pi\) | |||||||
\(198\) | −0.520664 | + | 1.30677i | −0.0370020 | + | 0.0928679i | ||||
\(199\) | −5.08444 | − | 18.3125i | −0.360426 | − | 1.29814i | −0.892349 | − | 0.451346i | \(-0.850944\pi\) |
0.531923 | − | 0.846793i | \(-0.321470\pi\) | |||||||
\(200\) | 0.199855 | − | 0.0439915i | 0.0141319 | − | 0.00311067i | ||||
\(201\) | −6.25363 | + | 9.22341i | −0.441097 | + | 0.650569i | ||||
\(202\) | 3.92497 | + | 7.40328i | 0.276160 | + | 0.520893i | ||||
\(203\) | 0.0535059 | − | 0.100923i | 0.00375538 | − | 0.00708340i | ||||
\(204\) | −4.24126 | − | 6.25539i | −0.296947 | − | 0.437965i | ||||
\(205\) | −15.7452 | − | 14.9147i | −1.09969 | − | 1.04169i | ||||
\(206\) | −5.83028 | − | 2.69738i | −0.406215 | − | 0.187935i | ||||
\(207\) | −6.88148 | − | 3.18371i | −0.478296 | − | 0.221283i | ||||
\(208\) | 4.17143 | + | 3.95139i | 0.289236 | + | 0.273979i | ||||
\(209\) | 3.51469 | + | 5.18378i | 0.243116 | + | 0.358570i | ||||
\(210\) | 0.0264624 | − | 0.0499133i | 0.00182608 | − | 0.00344434i | ||||
\(211\) | 8.84482 | + | 16.6831i | 0.608902 | + | 1.14851i | 0.975885 | + | 0.218284i | \(0.0700458\pi\) |
−0.366983 | + | 0.930228i | \(0.619609\pi\) | |||||||
\(212\) | 0.194904 | − | 0.287462i | 0.0133861 | − | 0.0197430i | ||||
\(213\) | −9.09865 | + | 2.00276i | −0.623429 | + | 0.137227i | ||||
\(214\) | 1.53555 | + | 5.53053i | 0.104968 | + | 0.378060i | ||||
\(215\) | 3.27856 | − | 8.22855i | 0.223596 | − | 0.561183i | ||||
\(216\) | 0.947653 | − | 0.319302i | 0.0644796 | − | 0.0217257i | ||||
\(217\) | 0.185339 | − | 0.175562i | 0.0125816 | − | 0.0119179i | ||||
\(218\) | 12.0767 | + | 2.65828i | 0.817937 | + | 0.180042i | ||||
\(219\) | 0.184620 | + | 3.40512i | 0.0124755 | + | 0.230097i | ||||
\(220\) | 0.519181 | + | 3.16687i | 0.0350032 | + | 0.213510i | ||||
\(221\) | 28.1126 | + | 33.0967i | 1.89106 | + | 2.22633i | ||||
\(222\) | −4.02412 | − | 10.0998i | −0.270081 | − | 0.677852i | ||||
\(223\) | −4.56810 | + | 3.47258i | −0.305902 | + | 0.232541i | −0.746851 | − | 0.664991i | \(-0.768435\pi\) |
0.440949 | + | 0.897532i | \(0.354642\pi\) | |||||||
\(224\) | −0.0212186 | + | 0.0127668i | −0.00141773 | + | 0.000853018i | ||||
\(225\) | −0.0331070 | + | 0.201944i | −0.00220714 | + | 0.0134629i | ||||
\(226\) | −4.87083 | − | 0.529735i | −0.324003 | − | 0.0352374i | ||||
\(227\) | −9.86038 | − | 7.49567i | −0.654457 | − | 0.497505i | 0.224458 | − | 0.974484i | \(-0.427939\pi\) |
−0.878915 | + | 0.476979i | \(0.841732\pi\) | |||||||
\(228\) | 1.19112 | − | 4.29003i | 0.0788839 | − | 0.284114i | ||||
\(229\) | 0.347145 | − | 6.40271i | 0.0229400 | − | 0.423103i | −0.964396 | − | 0.264461i | \(-0.914806\pi\) |
0.987336 | − | 0.158642i | \(-0.0507114\pi\) | |||||||
\(230\) | −17.1965 | + | 1.87024i | −1.13391 | + | 0.123320i | ||||
\(231\) | 0.0298477 | + | 0.0179587i | 0.00196383 | + | 0.00118160i | ||||
\(232\) | 2.98629 | − | 3.51573i | 0.196060 | − | 0.230819i | ||||
\(233\) | 15.1067 | + | 5.09004i | 0.989672 | + | 0.333459i | 0.767150 | − | 0.641468i | \(-0.221674\pi\) |
0.222523 | + | 0.974928i | \(0.428571\pi\) | |||||||
\(234\) | −5.21475 | + | 2.41260i | −0.340899 | + | 0.157717i | ||||
\(235\) | −11.9986 | −0.782705 | ||||||||
\(236\) | −1.60124 | + | 7.51239i | −0.104232 | + | 0.489015i | ||||
\(237\) | −1.91317 | −0.124273 | ||||||||
\(238\) | −0.169855 | + | 0.0785833i | −0.0110101 | + | 0.00509380i | ||||
\(239\) | 15.9791 | + | 5.38399i | 1.03360 | + | 0.348262i | 0.784443 | − | 0.620201i | \(-0.212949\pi\) |
0.249160 | + | 0.968462i | \(0.419845\pi\) | |||||||
\(240\) | 1.47693 | − | 1.73877i | 0.0953352 | − | 0.112237i | ||||
\(241\) | −12.1962 | − | 7.33819i | −0.785624 | − | 0.472694i | 0.0653756 | − | 0.997861i | \(-0.479175\pi\) |
−0.851000 | + | 0.525166i | \(0.824003\pi\) | |||||||
\(242\) | 8.96838 | − | 0.975371i | 0.576510 | − | 0.0626992i | ||||
\(243\) | −0.0541389 | + | 0.998533i | −0.00347301 | + | 0.0640559i | ||||
\(244\) | 1.20509 | − | 4.34035i | 0.0771482 | − | 0.277863i | ||||
\(245\) | 12.7122 | + | 9.66353i | 0.812150 | + | 0.617380i | ||||
\(246\) | −9.45074 | − | 1.02783i | −0.602557 | − | 0.0655321i | ||||
\(247\) | −4.13873 | + | 25.2451i | −0.263341 | + | 1.60631i | ||||
\(248\) | 8.83350 | − | 5.31494i | 0.560928 | − | 0.337499i | ||||
\(249\) | 8.44242 | − | 6.41776i | 0.535017 | − | 0.406709i | ||||
\(250\) | −4.04930 | − | 10.1630i | −0.256101 | − | 0.642764i | ||||
\(251\) | −9.05523 | − | 10.6606i | −0.571561 | − | 0.672894i | 0.398102 | − | 0.917341i | \(-0.369669\pi\) |
−0.969662 | + | 0.244448i | \(0.921393\pi\) | |||||||
\(252\) | −0.00400625 | − | 0.0244371i | −0.000252370 | − | 0.00153939i | ||||
\(253\) | −0.577433 | − | 10.6501i | −0.0363029 | − | 0.669568i | ||||
\(254\) | 14.8360 | + | 3.26564i | 0.930891 | + | 0.204905i | ||||
\(255\) | 12.5175 | − | 11.8572i | 0.783874 | − | 0.742525i | ||||
\(256\) | −0.947653 | + | 0.319302i | −0.0592283 | + | 0.0199563i | ||||
\(257\) | −3.90867 | + | 9.81003i | −0.243816 | + | 0.611933i | −0.999053 | − | 0.0435200i | \(-0.986143\pi\) |
0.755236 | + | 0.655453i | \(0.227522\pi\) | |||||||
\(258\) | −1.03871 | − | 3.74109i | −0.0646671 | − | 0.232910i | ||||
\(259\) | −0.262931 | + | 0.0578754i | −0.0163377 | + | 0.00359620i | ||||
\(260\) | −7.35620 | + | 10.8496i | −0.456212 | + | 0.672863i | ||||
\(261\) | 2.16070 | + | 4.07550i | 0.133744 | + | 0.252267i | ||||
\(262\) | 4.56007 | − | 8.60120i | 0.281722 | − | 0.531384i | ||||
\(263\) | 2.32462 | + | 3.42856i | 0.143342 | + | 0.211414i | 0.892582 | − | 0.450885i | \(-0.148891\pi\) |
−0.749240 | + | 0.662299i | \(0.769581\pi\) | |||||||
\(264\) | 1.02124 | + | 0.967369i | 0.0628529 | + | 0.0595374i | ||||
\(265\) | 0.719103 | + | 0.332692i | 0.0441741 | + | 0.0204371i | ||||
\(266\) | −0.100064 | − | 0.0462945i | −0.00613531 | − | 0.00283850i | ||||
\(267\) | −2.24733 | − | 2.12878i | −0.137534 | − | 0.130279i | ||||
\(268\) | 6.25363 | + | 9.22341i | 0.382001 | + | 0.563409i | ||||
\(269\) | −3.58248 | + | 6.75727i | −0.218427 | + | 0.411998i | −0.968375 | − | 0.249500i | \(-0.919734\pi\) |
0.749948 | + | 0.661497i | \(0.230079\pi\) | |||||||
\(270\) | 1.06861 | + | 2.01562i | 0.0650337 | + | 0.122666i | ||||
\(271\) | −11.8208 | + | 17.4344i | −0.718062 | + | 1.05906i | 0.277103 | + | 0.960840i | \(0.410626\pi\) |
−0.995165 | + | 0.0982216i | \(0.968685\pi\) | |||||||
\(272\) | −7.38096 | + | 1.62467i | −0.447537 | + | 0.0985102i | ||||
\(273\) | 0.0380653 | + | 0.137099i | 0.00230382 | + | 0.00829759i | ||||
\(274\) | 1.07918 | − | 2.70853i | 0.0651955 | − | 0.163628i | ||||
\(275\) | −0.272793 | + | 0.0919146i | −0.0164500 | + | 0.00554266i | ||||
\(276\) | −5.50469 | + | 5.21432i | −0.331343 | + | 0.313865i | ||||
\(277\) | −15.4790 | − | 3.40718i | −0.930041 | − | 0.204718i | −0.275984 | − | 0.961162i | \(-0.589004\pi\) |
−0.654058 | + | 0.756445i | \(0.726935\pi\) | |||||||
\(278\) | 0.291985 | + | 5.38534i | 0.0175121 | + | 0.322991i | ||||
\(279\) | 1.66784 | + | 10.1734i | 0.0998510 | + | 0.609064i | ||||
\(280\) | −0.0365736 | − | 0.0430577i | −0.00218569 | − | 0.00257319i | ||||
\(281\) | −5.72299 | − | 14.3636i | −0.341405 | − | 0.856862i | −0.994987 | − | 0.100006i | \(-0.968114\pi\) |
0.653582 | − | 0.756856i | \(-0.273266\pi\) | |||||||
\(282\) | −4.18698 | + | 3.18286i | −0.249331 | + | 0.189536i | ||||
\(283\) | 1.22830 | − | 0.739045i | 0.0730150 | − | 0.0439317i | −0.478578 | − | 0.878045i | \(-0.658848\pi\) |
0.551593 | + | 0.834113i | \(0.314020\pi\) | |||||||
\(284\) | −1.50724 | + | 9.19373i | −0.0894380 | + | 0.545547i | ||||
\(285\) | 10.0978 | + | 1.09821i | 0.598144 | + | 0.0650521i | ||||
\(286\) | −6.43440 | − | 4.89130i | −0.380474 | − | 0.289229i | ||||
\(287\) | −0.0629793 | + | 0.226831i | −0.00371755 | + | 0.0133894i | ||||
\(288\) | 0.0541389 | − | 0.998533i | 0.00319017 | − | 0.0588391i | ||||
\(289\) | −39.8830 | + | 4.33753i | −2.34606 | + | 0.255149i | ||||
\(290\) | 9.01722 | + | 5.42548i | 0.529509 | + | 0.318595i | ||||
\(291\) | −2.77374 | + | 3.26550i | −0.162600 | + | 0.191427i | ||||
\(292\) | 3.23161 | + | 1.08886i | 0.189116 | + | 0.0637206i | ||||
\(293\) | −24.7250 | + | 11.4390i | −1.44445 | + | 0.668274i | −0.976507 | − | 0.215484i | \(-0.930867\pi\) |
−0.467944 | + | 0.883758i | \(0.655005\pi\) | |||||||
\(294\) | 6.99939 | 0.408213 | ||||||||
\(295\) | −17.5037 | − | 0.832185i | −1.01911 | − | 0.0484517i | ||||
\(296\) | −10.8719 | −0.631918 | ||||||||
\(297\) | −1.27666 | + | 0.590647i | −0.0740795 | + | 0.0342728i | ||||
\(298\) | −15.6828 | − | 5.28415i | −0.908480 | − | 0.306102i | ||||
\(299\) | 28.2042 | − | 33.2045i | 1.63109 | − | 1.92027i | ||||
\(300\) | 0.175347 | + | 0.105503i | 0.0101237 | + | 0.00609121i | ||||
\(301\) | −0.0955825 | + | 0.0103952i | −0.00550928 | + | 0.000599171i | ||||
\(302\) | 0.0451368 | − | 0.832499i | 0.00259733 | − | 0.0479049i | ||||
\(303\) | −2.24172 | + | 8.07395i | −0.128784 | + | 0.463836i | ||||
\(304\) | −3.54446 | − | 2.69443i | −0.203289 | − | 0.154536i | ||||
\(305\) | 10.2163 | + | 1.11109i | 0.584983 | + | 0.0636207i | ||||
\(306\) | 1.22269 | − | 7.45809i | 0.0698967 | − | 0.426351i | ||||
\(307\) | 6.01251 | − | 3.61761i | 0.343152 | − | 0.206468i | −0.333536 | − | 0.942737i | \(-0.608242\pi\) |
0.676689 | + | 0.736269i | \(0.263414\pi\) | |||||||
\(308\) | 0.0277310 | − | 0.0210806i | 0.00158012 | − | 0.00120118i | ||||
\(309\) | −2.37778 | − | 5.96777i | −0.135267 | − | 0.339494i | ||||
\(310\) | 15.2259 | + | 17.9253i | 0.864773 | + | 1.01809i | ||||
\(311\) | 0.112218 | + | 0.684501i | 0.00636331 | + | 0.0388145i | 0.989817 | − | 0.142343i | \(-0.0454638\pi\) |
−0.983454 | + | 0.181158i | \(0.942015\pi\) | |||||||
\(312\) | 0.311072 | + | 5.73738i | 0.0176110 | + | 0.324815i | ||||
\(313\) | 14.5715 | + | 3.20744i | 0.823632 | + | 0.181295i | 0.606740 | − | 0.794901i | \(-0.292477\pi\) |
0.216892 | + | 0.976196i | \(0.430408\pi\) | |||||||
\(314\) | 14.8824 | − | 14.0974i | 0.839863 | − | 0.795561i | ||||
\(315\) | 0.0535369 | − | 0.0180387i | 0.00301646 | − | 0.00101636i | ||||
\(316\) | −0.708136 | + | 1.77729i | −0.0398357 | + | 0.0999802i | ||||
\(317\) | 1.58908 | + | 5.72336i | 0.0892519 | + | 0.321456i | 0.994676 | − | 0.103052i | \(-0.0328608\pi\) |
−0.905424 | + | 0.424508i | \(0.860447\pi\) | |||||||
\(318\) | 0.339187 | − | 0.0746606i | 0.0190206 | − | 0.00418676i | ||||
\(319\) | −3.64141 | + | 5.37068i | −0.203880 | + | 0.300700i | ||||
\(320\) | −1.06861 | − | 2.01562i | −0.0597372 | − | 0.112676i | ||||
\(321\) | −2.68855 | + | 5.07114i | −0.150060 | + | 0.283043i | ||||
\(322\) | 0.105369 | + | 0.155408i | 0.00587201 | + | 0.00866057i | ||||
\(323\) | −24.4291 | − | 23.1405i | −1.35927 | − | 1.28757i | ||||
\(324\) | 0.907575 | + | 0.419889i | 0.0504209 | + | 0.0233272i | ||||
\(325\) | −1.06715 | − | 0.493714i | −0.0591946 | − | 0.0273863i | ||||
\(326\) | 9.93570 | + | 9.41159i | 0.550287 | + | 0.521260i | ||||
\(327\) | 6.93953 | + | 10.2350i | 0.383757 | + | 0.565999i | ||||
\(328\) | −4.45291 | + | 8.39908i | −0.245871 | + | 0.463762i | ||||
\(329\) | 0.0610056 | + | 0.115069i | 0.00336335 | + | 0.00634395i | ||||
\(330\) | −1.80093 | + | 2.65617i | −0.0991379 | + | 0.146217i | ||||
\(331\) | 12.1740 | − | 2.67970i | 0.669143 | − | 0.147290i | 0.132609 | − | 0.991168i | \(-0.457664\pi\) |
0.536534 | + | 0.843879i | \(0.319733\pi\) | |||||||
\(332\) | −2.83709 | − | 10.2183i | −0.155705 | − | 0.560800i | ||||
\(333\) | 4.02412 | − | 10.0998i | 0.220520 | − | 0.553464i | ||||
\(334\) | 14.2535 | − | 4.80258i | 0.779919 | − | 0.262785i | ||||
\(335\) | −18.4567 | + | 17.4831i | −1.00840 | + | 0.955204i | ||||
\(336\) | −0.0241843 | − | 0.00532338i | −0.00131936 | − | 0.000290414i | ||||
\(337\) | −0.272259 | − | 5.02153i | −0.0148309 | − | 0.273540i | −0.996538 | − | 0.0831414i | \(-0.973505\pi\) |
0.981707 | − | 0.190399i | \(-0.0609781\pi\) | |||||||
\(338\) | −3.23795 | − | 19.7506i | −0.176121 | − | 1.07429i | ||||
\(339\) | −3.17190 | − | 3.73425i | −0.172274 | − | 0.202817i | ||||
\(340\) | −6.38185 | − | 16.0172i | −0.346104 | − | 0.868656i | ||||
\(341\) | −11.5447 | + | 8.77603i | −0.625179 | + | 0.475249i | ||||
\(342\) | 3.81500 | − | 2.29541i | 0.206292 | − | 0.124122i | ||||
\(343\) | 0.0560851 | − | 0.342104i | 0.00302831 | − | 0.0184719i | ||||
\(344\) | −3.85985 | − | 0.419784i | −0.208109 | − | 0.0226332i | ||||
\(345\) | −13.7708 | − | 10.4683i | −0.741393 | − | 0.563592i | ||||
\(346\) | 1.50286 | − | 5.41281i | 0.0807941 | − | 0.290994i | ||||
\(347\) | −0.179217 | + | 3.30546i | −0.00962087 | + | 0.177447i | 0.989773 | + | 0.142648i | \(0.0455617\pi\) |
−0.999394 | + | 0.0347985i | \(0.988921\pi\) | |||||||
\(348\) | 4.58580 | − | 0.498736i | 0.245825 | − | 0.0267351i | ||||
\(349\) | −13.3619 | − | 8.03958i | −0.715246 | − | 0.430349i | 0.110881 | − | 0.993834i | \(-0.464633\pi\) |
−0.826126 | + | 0.563485i | \(0.809460\pi\) | |||||||
\(350\) | 0.00328067 | − | 0.00386230i | 0.000175359 | − | 0.000206449i | ||||
\(351\) | −5.44503 | − | 1.83464i | −0.290634 | − | 0.0979261i | ||||
\(352\) | 1.27666 | − | 0.590647i | 0.0680464 | − | 0.0314816i | ||||
\(353\) | −18.1193 | −0.964394 | −0.482197 | − | 0.876063i | \(-0.660161\pi\) | ||||
−0.482197 | + | 0.876063i | \(0.660161\pi\) | |||||||
\(354\) | −6.32876 | + | 4.35279i | −0.336370 | + | 0.231348i | ||||
\(355\) | −21.2543 | −1.12806 | ||||||||
\(356\) | −2.80941 | + | 1.29977i | −0.148898 | + | 0.0688877i | ||||
\(357\) | −0.177356 | − | 0.0597581i | −0.00938665 | − | 0.00316273i | ||||
\(358\) | −1.53511 | + | 1.80727i | −0.0811331 | + | 0.0955172i | ||||
\(359\) | 10.0893 | + | 6.07054i | 0.532494 | + | 0.320391i | 0.756281 | − | 0.654247i | \(-0.227014\pi\) |
−0.223787 | + | 0.974638i | \(0.571842\pi\) | |||||||
\(360\) | 2.26799 | − | 0.246659i | 0.119534 | − | 0.0130001i | ||||
\(361\) | 0.0445632 | − | 0.821920i | 0.00234543 | − | 0.0432589i | ||||
\(362\) | 1.20211 | − | 4.32962i | 0.0631817 | − | 0.227560i | ||||
\(363\) | 7.18177 | + | 5.45944i | 0.376945 | + | 0.286546i | ||||
\(364\) | 0.141451 | + | 0.0153837i | 0.00741404 | + | 0.000806326i | ||||
\(365\) | −1.25862 | + | 7.67726i | −0.0658793 | + | 0.401846i | ||||
\(366\) | 3.85975 | − | 2.32234i | 0.201752 | − | 0.121390i | ||||
\(367\) | −7.88091 | + | 5.99091i | −0.411380 | + | 0.312723i | −0.790316 | − | 0.612700i | \(-0.790083\pi\) |
0.378935 | + | 0.925423i | \(0.376290\pi\) | |||||||
\(368\) | 2.80648 | + | 7.04375i | 0.146298 | + | 0.367181i | ||||
\(369\) | −6.15436 | − | 7.24547i | −0.320383 | − | 0.377184i | ||||
\(370\) | −4.01266 | − | 24.4761i | −0.208608 | − | 1.27245i | ||||
\(371\) | −0.000465619 | − | 0.00858784i | −2.41737e−5 | − | 0.000445858i | ||||
\(372\) | 10.0682 | + | 2.21617i | 0.522010 | + | 0.114903i | ||||
\(373\) | −0.739577 | + | 0.700565i | −0.0382939 | + | 0.0362739i | −0.706607 | − | 0.707606i | \(-0.749775\pi\) |
0.668313 | + | 0.743880i | \(0.267017\pi\) | |||||||
\(374\) | 10.0747 | − | 3.39454i | 0.520948 | − | 0.175528i | ||||
\(375\) | 4.04930 | − | 10.1630i | 0.209105 | − | 0.524814i | ||||
\(376\) | 1.40704 | + | 5.06770i | 0.0725626 | + | 0.261347i | ||||
\(377\) | −25.8848 | + | 5.69768i | −1.33314 | + | 0.293446i | ||||
\(378\) | 0.0138968 | − | 0.0204963i | 0.000714776 | − | 0.00105422i | ||||
\(379\) | −16.5871 | − | 31.2865i | −0.852021 | − | 1.60708i | −0.793319 | − | 0.608806i | \(-0.791649\pi\) |
−0.0587013 | − | 0.998276i | \(-0.518696\pi\) | |||||||
\(380\) | 4.75780 | − | 8.97416i | 0.244070 | − | 0.460365i | ||||
\(381\) | 8.52506 | + | 12.5735i | 0.436752 | + | 0.644161i | ||||
\(382\) | 14.7823 | + | 14.0025i | 0.756328 | + | 0.716432i | ||||
\(383\) | −7.88572 | − | 3.64832i | −0.402941 | − | 0.186420i | 0.207942 | − | 0.978141i | \(-0.433323\pi\) |
−0.610883 | + | 0.791721i | \(0.709186\pi\) | |||||||
\(384\) | −0.907575 | − | 0.419889i | −0.0463145 | − | 0.0214274i | ||||
\(385\) | 0.0576941 | + | 0.0546507i | 0.00294036 | + | 0.00278526i | ||||
\(386\) | −9.21007 | − | 13.5838i | −0.468780 | − | 0.691399i | ||||
\(387\) | 1.81865 | − | 3.43033i | 0.0924470 | − | 0.174373i | ||||
\(388\) | 2.00691 | + | 3.78543i | 0.101885 | + | 0.192176i | ||||
\(389\) | −10.4926 | + | 15.4754i | −0.531997 | + | 0.784636i | −0.994802 | − | 0.101823i | \(-0.967532\pi\) |
0.462806 | + | 0.886460i | \(0.346843\pi\) | |||||||
\(390\) | −12.8018 | + | 2.81790i | −0.648246 | + | 0.142690i | ||||
\(391\) | 15.3305 | + | 55.2154i | 0.775296 | + | 2.79236i | ||||
\(392\) | 2.59074 | − | 6.50227i | 0.130852 | − | 0.328414i | ||||
\(393\) | 9.22563 | − | 3.10848i | 0.465372 | − | 0.156802i | ||||
\(394\) | 14.4325 | − | 13.6712i | 0.727098 | − | 0.688744i | ||||
\(395\) | −4.26259 | − | 0.938268i | −0.214474 | − | 0.0472094i | ||||
\(396\) | 0.0761558 | + | 1.40461i | 0.00382697 | + | 0.0705844i | ||||
\(397\) | −1.19142 | − | 7.26734i | −0.0597956 | − | 0.364737i | −0.999727 | − | 0.0233732i | \(-0.992559\pi\) |
0.939931 | − | 0.341364i | \(-0.110889\pi\) | |||||||
\(398\) | −12.3037 | − | 14.4851i | −0.616730 | − | 0.726071i | ||||
\(399\) | −0.0408092 | − | 0.102423i | −0.00204302 | − | 0.00512758i | ||||
\(400\) | 0.162912 | − | 0.123843i | 0.00814562 | − | 0.00619214i | ||||
\(401\) | 22.0192 | − | 13.2485i | 1.09959 | − | 0.661601i | 0.154362 | − | 0.988014i | \(-0.450668\pi\) |
0.945227 | + | 0.326414i | \(0.105840\pi\) | |||||||
\(402\) | −1.80283 | + | 10.9968i | −0.0899169 | + | 0.548469i | ||||
\(403\) | −58.8873 | − | 6.40438i | −2.93339 | − | 0.319025i | ||||
\(404\) | 6.67077 | + | 5.07098i | 0.331883 | + | 0.252291i | ||||
\(405\) | −0.610331 | + | 2.19821i | −0.0303276 | + | 0.109230i | ||||
\(406\) | 0.00618424 | − | 0.114062i | 0.000306919 | − | 0.00566079i | ||||
\(407\) | 15.2036 | − | 1.65349i | 0.753615 | − | 0.0819606i | ||||
\(408\) | −6.47583 | − | 3.89638i | −0.320601 | − | 0.192899i | ||||
\(409\) | −13.6120 | + | 16.0253i | −0.673072 | + | 0.792401i | −0.987624 | − | 0.156839i | \(-0.949870\pi\) |
0.314553 | + | 0.949240i | \(0.398146\pi\) | |||||||
\(410\) | −20.5525 | − | 6.92494i | −1.01501 | − | 0.341998i | ||||
\(411\) | 2.64613 | − | 1.22423i | 0.130524 | − | 0.0603869i | ||||
\(412\) | −6.42402 | −0.316489 | ||||||||
\(413\) | 0.0810149 | + | 0.172095i | 0.00398648 | + | 0.00846823i | ||||
\(414\) | −7.58226 | −0.372648 | ||||||||
\(415\) | 21.9574 | − | 10.1586i | 1.07785 | − | 0.498665i | ||||
\(416\) | 5.44503 | + | 1.83464i | 0.266965 | + | 0.0899508i | ||||
\(417\) | −3.49152 | + | 4.11053i | −0.170980 | + | 0.201294i | ||||
\(418\) | 5.36646 | + | 3.22889i | 0.262482 | + | 0.157930i | ||||
\(419\) | 23.5152 | − | 2.55743i | 1.14879 | − | 0.124938i | 0.486149 | − | 0.873876i | \(-0.338401\pi\) |
0.662641 | + | 0.748937i | \(0.269436\pi\) | |||||||
\(420\) | 0.00305853 | − | 0.0564113i | 0.000149241 | − | 0.00275259i | ||||
\(421\) | −7.68411 | + | 27.6757i | −0.374501 | + | 1.34883i | 0.500931 | + | 0.865487i | \(0.332991\pi\) |
−0.875432 | + | 0.483342i | \(0.839423\pi\) | |||||||
\(422\) | 15.0324 | + | 11.4273i | 0.731765 | + | 0.556273i | ||||
\(423\) | −5.22858 | − | 0.568642i | −0.254222 | − | 0.0276483i | ||||
\(424\) | 0.0561879 | − | 0.342731i | 0.00272873 | − | 0.0166445i | ||||
\(425\) | 1.32521 | − | 0.797354i | 0.0642823 | − | 0.0386773i | ||||
\(426\) | −7.41677 | + | 5.63808i | −0.359344 | + | 0.273166i | ||||
\(427\) | −0.0412879 | − | 0.103625i | −0.00199806 | − | 0.00501476i | ||||
\(428\) | 3.71583 | + | 4.37462i | 0.179612 | + | 0.211455i | ||||
\(429\) | −1.30760 | − | 7.97600i | −0.0631315 | − | 0.385085i | ||||
\(430\) | −0.479544 | − | 8.84466i | −0.0231257 | − | 0.426528i | ||||
\(431\) | −4.31625 | − | 0.950078i | −0.207906 | − | 0.0457637i | 0.109796 | − | 0.993954i | \(-0.464980\pi\) |
−0.317702 | + | 0.948190i | \(0.602911\pi\) | |||||||
\(432\) | 0.725995 | − | 0.687699i | 0.0349295 | − | 0.0330870i | ||||
\(433\) | 24.2836 | − | 8.18210i | 1.16700 | − | 0.393207i | 0.331902 | − | 0.943314i | \(-0.392310\pi\) |
0.835094 | + | 0.550107i | \(0.185413\pi\) | |||||||
\(434\) | 0.0944923 | − | 0.237158i | 0.00453578 | − | 0.0113839i | ||||
\(435\) | 2.81536 | + | 10.1400i | 0.134986 | + | 0.486176i | ||||
\(436\) | 12.0767 | − | 2.65828i | 0.578369 | − | 0.127309i | ||||
\(437\) | −18.9449 | + | 27.9417i | −0.906258 | + | 1.33663i | ||||
\(438\) | 1.59733 | + | 3.01288i | 0.0763234 | + | 0.143961i | ||||
\(439\) | 10.2851 | − | 19.3998i | 0.490882 | − | 0.925902i | −0.507068 | − | 0.861906i | \(-0.669271\pi\) |
0.997950 | − | 0.0639960i | \(-0.0203845\pi\) | |||||||
\(440\) | 1.80093 | + | 2.65617i | 0.0858559 | + | 0.126628i | ||||
\(441\) | 5.08152 | + | 4.81347i | 0.241977 | + | 0.229213i | ||||
\(442\) | 39.4113 | + | 18.2336i | 1.87460 | + | 0.867284i | ||||
\(443\) | −26.1395 | − | 12.0934i | −1.24193 | − | 0.574576i | −0.314740 | − | 0.949178i | \(-0.601917\pi\) |
−0.927186 | + | 0.374602i | \(0.877780\pi\) | |||||||
\(444\) | −7.89297 | − | 7.47662i | −0.374584 | − | 0.354825i | ||||
\(445\) | −3.96310 | − | 5.84513i | −0.187869 | − | 0.277086i | ||||
\(446\) | −2.68779 | + | 5.06972i | −0.127271 | + | 0.240058i | ||||
\(447\) | −7.75173 | − | 14.6213i | −0.366644 | − | 0.691564i | ||||
\(448\) | −0.0138968 | + | 0.0204963i | −0.000656564 | + | 0.000968359i | ||||
\(449\) | −24.4599 | + | 5.38404i | −1.15434 | + | 0.254088i | −0.750581 | − | 0.660779i | \(-0.770226\pi\) |
−0.403755 | + | 0.914867i | \(0.632295\pi\) | |||||||
\(450\) | 0.0547469 | + | 0.197181i | 0.00258080 | + | 0.00929519i | ||||
\(451\) | 4.94968 | − | 12.4227i | 0.233071 | − | 0.584964i | ||||
\(452\) | −4.64307 | + | 1.56443i | −0.218392 | + | 0.0735848i | ||||
\(453\) | 0.605278 | − | 0.573350i | 0.0284384 | − | 0.0269383i | ||||
\(454\) | −12.0964 | − | 2.66262i | −0.567712 | − | 0.124963i | ||||
\(455\) | 0.0175737 | + | 0.324128i | 0.000823869 | + | 0.0151954i | ||||
\(456\) | −0.720305 | − | 4.39366i | −0.0337314 | − | 0.205752i | ||||
\(457\) | 18.7000 | + | 22.0154i | 0.874751 | + | 1.02984i | 0.999292 | + | 0.0376218i | \(0.0119782\pi\) |
−0.124541 | + | 0.992214i | \(0.539746\pi\) | |||||||
\(458\) | −2.37337 | − | 5.95671i | −0.110900 | − | 0.278339i | ||||
\(459\) | 6.01660 | − | 4.57370i | 0.280831 | − | 0.213482i | ||||
\(460\) | −14.8219 | + | 8.91802i | −0.691073 | + | 0.415805i | ||||
\(461\) | 2.81898 | − | 17.1950i | 0.131293 | − | 0.800851i | −0.836288 | − | 0.548290i | \(-0.815279\pi\) |
0.967581 | − | 0.252561i | \(-0.0812728\pi\) | |||||||
\(462\) | 0.0346297 | + | 0.00376621i | 0.00161112 | + | 0.000175220i | ||||
\(463\) | 20.4635 | + | 15.5559i | 0.951017 | + | 0.722945i | 0.960868 | − | 0.277007i | \(-0.0893425\pi\) |
−0.00985058 | + | 0.999951i | \(0.503136\pi\) | |||||||
\(464\) | 1.23407 | − | 4.44471i | 0.0572901 | − | 0.206340i | ||||
\(465\) | −1.27330 | + | 23.4846i | −0.0590477 | + | 1.08907i | ||||
\(466\) | 15.8477 | − | 1.72354i | 0.734131 | − | 0.0798416i | ||||
\(467\) | −33.1176 | − | 19.9262i | −1.53250 | − | 0.922074i | −0.996989 | − | 0.0775453i | \(-0.975292\pi\) |
−0.535510 | − | 0.844529i | \(-0.679881\pi\) | |||||||
\(468\) | −3.71975 | + | 4.37923i | −0.171946 | + | 0.202430i | ||||
\(469\) | 0.261506 | + | 0.0881117i | 0.0120752 | + | 0.00406862i | ||||
\(470\) | −10.8897 | + | 5.03810i | −0.502303 | + | 0.232390i | ||||
\(471\) | 20.4993 | 0.944559 | ||||||||
\(472\) | 1.70113 | + | 7.49040i | 0.0783007 | + | 0.344774i | ||||
\(473\) | 5.46156 | 0.251123 | ||||||||
\(474\) | −1.73634 | + | 0.803317i | −0.0797528 | + | 0.0368976i | ||||
\(475\) | 0.863427 | + | 0.290922i | 0.0396167 | + | 0.0133484i | ||||
\(476\) | −0.121160 | + | 0.142640i | −0.00555336 | + | 0.00653792i | ||||
\(477\) | 0.297592 | + | 0.179055i | 0.0136258 | + | 0.00819838i | ||||
\(478\) | 16.7629 | − | 1.82308i | 0.766719 | − | 0.0833857i | ||||
\(479\) | −1.79583 | + | 33.1221i | −0.0820536 | + | 1.51339i | 0.610496 | + | 0.792019i | \(0.290970\pi\) |
−0.692550 | + | 0.721370i | \(0.743513\pi\) | |||||||
\(480\) | 0.610331 | − | 2.19821i | 0.0278577 | − | 0.100334i | ||||
\(481\) | 49.7303 | + | 37.8040i | 2.26751 | + | 1.72372i | ||||
\(482\) | −14.1502 | − | 1.53892i | −0.644522 | − | 0.0700960i | ||||
\(483\) | −0.0303765 | + | 0.185288i | −0.00138218 | + | 0.00843091i | ||||
\(484\) | 7.72994 | − | 4.65095i | 0.351361 | − | 0.211407i | ||||
\(485\) | −7.78147 | + | 5.91532i | −0.353338 | + | 0.268601i | ||||
\(486\) | 0.370138 | + | 0.928977i | 0.0167898 | + | 0.0421392i | ||||
\(487\) | −4.82647 | − | 5.68216i | −0.218708 | − | 0.257483i | 0.641856 | − | 0.766825i | \(-0.278165\pi\) |
−0.860564 | + | 0.509342i | \(0.829889\pi\) | |||||||
\(488\) | −0.728754 | − | 4.44520i | −0.0329891 | − | 0.201225i | ||||
\(489\) | 0.740924 | + | 13.6655i | 0.0335058 | + | 0.617977i | ||||
\(490\) | 15.5948 | + | 3.43269i | 0.704503 | + | 0.155073i | ||||
\(491\) | 9.55383 | − | 9.04987i | 0.431158 | − | 0.408415i | −0.441102 | − | 0.897457i | \(-0.645412\pi\) |
0.872260 | + | 0.489042i | \(0.162654\pi\) | |||||||
\(492\) | −9.00884 | + | 3.03543i | −0.406150 | + | 0.136848i | ||||
\(493\) | 12.9039 | − | 32.3863i | 0.581161 | − | 1.45860i | ||||
\(494\) | 6.84395 | + | 24.6497i | 0.307924 | + | 1.10904i | ||||
\(495\) | −3.13411 | + | 0.689870i | −0.140868 | + | 0.0310074i | ||||
\(496\) | 5.78538 | − | 8.53280i | 0.259771 | − | 0.383134i | ||||
\(497\) | 0.108065 | + | 0.203832i | 0.00484737 | + | 0.00914310i | ||||
\(498\) | 4.96738 | − | 9.36948i | 0.222594 | − | 0.419856i | ||||
\(499\) | −1.19916 | − | 1.76863i | −0.0536819 | − | 0.0791749i | 0.799901 | − | 0.600132i | \(-0.204885\pi\) |
−0.853583 | + | 0.520957i | \(0.825575\pi\) | |||||||
\(500\) | −7.94238 | − | 7.52342i | −0.355194 | − | 0.336458i | ||||
\(501\) | 13.6507 | + | 6.31551i | 0.609870 | + | 0.282156i | ||||
\(502\) | −12.6946 | − | 5.87314i | −0.566587 | − | 0.262131i | ||||
\(503\) | −7.38663 | − | 6.99698i | −0.329353 | − | 0.311980i | 0.505098 | − | 0.863062i | \(-0.331456\pi\) |
−0.834451 | + | 0.551082i | \(0.814215\pi\) | |||||||
\(504\) | −0.0138968 | − | 0.0204963i | −0.000619014 | − | 0.000912978i | ||||
\(505\) | −8.95431 | + | 16.8896i | −0.398461 | + | 0.751578i | ||||
\(506\) | −4.99594 | − | 9.42334i | −0.222097 | − | 0.418919i | ||||
\(507\) | 11.2317 | − | 16.5656i | 0.498819 | − | 0.735703i | ||||
\(508\) | 14.8360 | − | 3.26564i | 0.658240 | − | 0.144889i | ||||
\(509\) | 0.336357 | + | 1.21145i | 0.0149088 | + | 0.0536965i | 0.970630 | − | 0.240576i | \(-0.0773364\pi\) |
−0.955721 | + | 0.294273i | \(0.904923\pi\) | |||||||
\(510\) | 6.38185 | − | 16.0172i | 0.282593 | − | 0.709255i | ||||
\(511\) | 0.0800254 | − | 0.0269637i | 0.00354011 | − | 0.00119280i | ||||
\(512\) | −0.725995 | + | 0.687699i | −0.0320848 | + | 0.0303923i | ||||
\(513\) | 4.34822 | + | 0.957117i | 0.191979 | + | 0.0422577i | ||||
\(514\) | 0.571709 | + | 10.5445i | 0.0252170 | + | 0.465100i | ||||
\(515\) | −2.37101 | − | 14.4625i | −0.104479 | − | 0.637294i | ||||
\(516\) | −2.51355 | − | 2.95918i | −0.110653 | − | 0.130270i | ||||
\(517\) | −2.73838 | − | 6.87282i | −0.120434 | − | 0.302266i | ||||
\(518\) | −0.214328 | + | 0.162928i | −0.00941703 | + | 0.00715864i | ||||
\(519\) | 4.81345 | − | 2.89616i | 0.211287 | − | 0.127127i | ||||
\(520\) | −2.12069 | + | 12.9356i | −0.0929982 | + | 0.567264i | ||||
\(521\) | −16.7313 | − | 1.81964i | −0.733011 | − | 0.0797198i | −0.266002 | − | 0.963972i | \(-0.585703\pi\) |
−0.467009 | + | 0.884253i | \(0.654668\pi\) | |||||||
\(522\) | 3.67225 | + | 2.79157i | 0.160730 | + | 0.122184i | ||||
\(523\) | 6.72574 | − | 24.2239i | 0.294096 | − | 1.05924i | −0.657894 | − | 0.753110i | \(-0.728553\pi\) |
0.951990 | − | 0.306128i | \(-0.0990337\pi\) | |||||||
\(524\) | 0.527055 | − | 9.72097i | 0.0230245 | − | 0.424662i | ||||
\(525\) | 0.00503785 | 0.000547899i | 0.000219870 | 2.39123e-5i | ||||||
\(526\) | 3.54938 | + | 2.13559i | 0.154761 | + | 0.0931163i | ||||
\(527\) | 50.4400 | − | 59.3825i | 2.19720 | − | 2.58674i | ||||
\(528\) | 1.33304 | + | 0.449153i | 0.0580131 | + | 0.0195469i | ||||
\(529\) | 31.3029 | − | 14.4823i | 1.36100 | − | 0.629664i | ||||
\(530\) | 0.792334 | 0.0344168 | ||||||||
\(531\) | −7.58806 | − | 1.19218i | −0.329294 | − | 0.0517361i | ||||
\(532\) | −0.110254 | −0.00478012 | ||||||||
\(533\) | 49.5739 | − | 22.9353i | 2.14728 | − | 0.993439i | ||||
\(534\) | −2.93347 | − | 0.988401i | −0.126944 | − | 0.0427723i | ||||
\(535\) | −8.47719 | + | 9.98012i | −0.366501 | + | 0.431478i | ||||
\(536\) | 9.54845 | + | 5.74511i | 0.412430 | + | 0.248151i | ||||
\(537\) | −2.35734 | + | 0.256376i | −0.101727 | + | 0.0110635i | ||||
\(538\) | −0.414065 | + | 7.63697i | −0.0178516 | + | 0.329253i | ||||
\(539\) | −2.63405 | + | 9.48697i | −0.113456 | + | 0.408633i | ||||
\(540\) | 1.81618 | + | 1.38063i | 0.0781560 | + | 0.0594126i | ||||
\(541\) | 8.92571 | + | 0.970730i | 0.383746 | + | 0.0417349i | 0.297959 | − | 0.954579i | \(-0.403694\pi\) |
0.0857870 | + | 0.996313i | \(0.472660\pi\) | |||||||
\(542\) | −3.40776 | + | 20.7864i | −0.146376 | + | 0.892853i | ||||
\(543\) | 3.85021 | − | 2.31659i | 0.165228 | − | 0.0994145i | ||||
\(544\) | −6.01660 | + | 4.57370i | −0.257959 | + | 0.196096i | ||||
\(545\) | 10.4419 | + | 26.2073i | 0.447284 | + | 1.12260i | ||||
\(546\) | 0.0921134 | + | 0.108444i | 0.00394209 | + | 0.00464099i | ||||
\(547\) | 5.08383 | + | 31.0100i | 0.217369 | + | 1.32589i | 0.839663 | + | 0.543108i | \(0.182752\pi\) |
−0.622294 | + | 0.782783i | \(0.713799\pi\) | |||||||
\(548\) | −0.157848 | − | 2.91133i | −0.00674292 | − | 0.124366i | ||||
\(549\) | 4.39923 | + | 0.968344i | 0.187755 | + | 0.0413279i | ||||
\(550\) | −0.208986 | + | 0.197962i | −0.00891120 | + | 0.00844114i | ||||
\(551\) | 19.4628 | − | 6.55777i | 0.829141 | − | 0.279370i | ||||
\(552\) | −2.80648 | + | 7.04375i | −0.119452 | + | 0.299802i | ||||
\(553\) | 0.0126745 | + | 0.0456494i | 0.000538975 | + | 0.00194121i | ||||
\(554\) | −15.4790 | + | 3.40718i | −0.657638 | + | 0.144757i | ||||
\(555\) | 13.9191 | − | 20.5291i | 0.590831 | − | 0.871411i | ||||
\(556\) | 2.52624 | + | 4.76500i | 0.107137 | + | 0.202081i | ||||
\(557\) | 17.7734 | − | 33.5241i | 0.753082 | − | 1.42046i | −0.148973 | − | 0.988841i | \(-0.547597\pi\) |
0.902055 | − | 0.431622i | \(-0.142059\pi\) | |||||||
\(558\) | 5.78538 | + | 8.53280i | 0.244915 | + | 0.361222i | ||||
\(559\) | 16.1960 | + | 15.3417i | 0.685018 | + | 0.648884i | ||||
\(560\) | −0.0512727 | − | 0.0237213i | −0.00216667 | − | 0.00100241i | ||||
\(561\) | 9.64858 | + | 4.46391i | 0.407363 | + | 0.188466i | ||||
\(562\) | −11.2252 | − | 10.6331i | −0.473505 | − | 0.448528i | ||||
\(563\) | −10.3547 | − | 15.2721i | −0.436400 | − | 0.643642i | 0.544362 | − | 0.838851i | \(-0.316772\pi\) |
−0.980762 | + | 0.195209i | \(0.937462\pi\) | |||||||
\(564\) | −2.46355 | + | 4.64675i | −0.103734 | + | 0.195663i | ||||
\(565\) | −5.23572 | − | 9.87561i | −0.220268 | − | 0.415470i | ||||
\(566\) | 0.804460 | − | 1.18649i | 0.0338140 | − | 0.0498719i | ||||
\(567\) | 0.0241843 | − | 0.00532338i | 0.00101565 | − | 0.000223561i | ||||
\(568\) | 2.49242 | + | 8.97687i | 0.104579 | + | 0.376661i | ||||
\(569\) | −12.0667 | + | 30.2852i | −0.505863 | + | 1.26962i | 0.425312 | + | 0.905047i | \(0.360164\pi\) |
−0.931175 | + | 0.364573i | \(0.881215\pi\) | |||||||
\(570\) | 9.62567 | − | 3.24326i | 0.403175 | − | 0.135845i | ||||
\(571\) | 11.9472 | − | 11.3170i | 0.499973 | − | 0.473600i | −0.395657 | − | 0.918398i | \(-0.629483\pi\) |
0.895631 | + | 0.444798i | \(0.146725\pi\) | |||||||
\(572\) | −7.89351 | − | 1.73749i | −0.330044 | − | 0.0726482i | ||||
\(573\) | 1.10234 | + | 20.3315i | 0.0460511 | + | 0.849363i | ||||
\(574\) | 0.0380854 | + | 0.232310i | 0.00158965 | + | 0.00969645i | ||||
\(575\) | −1.00451 | − | 1.18260i | −0.0418908 | − | 0.0493176i | ||||
\(576\) | −0.370138 | − | 0.928977i | −0.0154224 | − | 0.0387074i | ||||
\(577\) | −22.9455 | + | 17.4427i | −0.955232 | + | 0.726148i | −0.961778 | − | 0.273830i | \(-0.911709\pi\) |
0.00654612 | + | 0.999979i | \(0.497916\pi\) | |||||||
\(578\) | −34.3755 | + | 20.6831i | −1.42983 | + | 0.860302i | ||||
\(579\) | 2.65513 | − | 16.1956i | 0.110343 | − | 0.673065i | ||||
\(580\) | 10.4619 | + | 1.13780i | 0.434407 | + | 0.0472446i | ||||
\(581\) | −0.209062 | − | 0.158925i | −0.00867336 | − | 0.00659331i | ||||
\(582\) | −1.14623 | + | 4.12835i | −0.0475128 | + | 0.171126i | ||||
\(583\) | −0.0264494 | + | 0.487831i | −0.00109542 | + | 0.0202039i | ||||
\(584\) | 3.39013 | − | 0.368699i | 0.140285 | − | 0.0152569i | ||||
\(585\) | −11.2319 | − | 6.75803i | −0.464383 | − | 0.279410i | ||||
\(586\) | −17.6367 | + | 20.7635i | −0.728566 | + | 0.857734i | ||||
\(587\) | −27.6572 | − | 9.31880i | −1.14154 | − | 0.384628i | −0.315878 | − | 0.948800i | \(-0.602299\pi\) |
−0.825658 | + | 0.564172i | \(0.809196\pi\) | |||||||
\(588\) | 6.35247 | − | 2.93897i | 0.261972 | − | 0.121201i | ||||
\(589\) | 45.8998 | 1.89127 | ||||||||
\(590\) | −16.2354 | + | 6.59436i | −0.668401 | + | 0.271486i | ||||
\(591\) | 19.8796 | 0.817737 | ||||||||
\(592\) | −9.86710 | + | 4.56501i | −0.405535 | + | 0.187621i | ||||
\(593\) | 25.2565 | + | 8.50990i | 1.03716 | + | 0.349460i | 0.785830 | − | 0.618442i | \(-0.212236\pi\) |
0.251329 | + | 0.967902i | \(0.419132\pi\) | |||||||
\(594\) | −0.910662 | + | 1.07211i | −0.0373649 | + | 0.0439894i | ||||
\(595\) | −0.365847 | − | 0.220123i | −0.0149983 | − | 0.00902415i | ||||
\(596\) | −16.4521 | + | 1.78927i | −0.673903 | + | 0.0732914i | ||||
\(597\) | 1.02892 | − | 18.9774i | 0.0421110 | − | 0.776692i | ||||
\(598\) | 11.6552 | − | 41.9782i | 0.476616 | − | 1.71662i | ||||
\(599\) | −0.549399 | − | 0.417642i | −0.0224478 | − | 0.0170644i | 0.593890 | − | 0.804546i | \(-0.297591\pi\) |
−0.616338 | + | 0.787482i | \(0.711384\pi\) | |||||||
\(600\) | 0.203440 | + | 0.0221255i | 0.00830541 | + | 0.000903268i | ||||
\(601\) | 2.61471 | − | 15.9490i | 0.106656 | − | 0.650575i | −0.878345 | − | 0.478028i | \(-0.841352\pi\) |
0.985001 | − | 0.172547i | \(-0.0551998\pi\) | |||||||
\(602\) | −0.0823835 | + | 0.0495685i | −0.00335770 | + | 0.00202026i | ||||
\(603\) | −8.87132 | + | 6.74380i | −0.361268 | + | 0.274629i | ||||
\(604\) | −0.308592 | − | 0.774508i | −0.0125564 | − | 0.0315143i | ||||
\(605\) | 13.3237 | + | 15.6859i | 0.541687 | + | 0.637724i | ||||
\(606\) | 1.35563 | + | 8.26899i | 0.0550688 | + | 0.335905i | ||||
\(607\) | −0.0579983 | − | 1.06972i | −0.00235408 | − | 0.0434184i | 0.997120 | − | 0.0758353i | \(-0.0241623\pi\) |
−0.999474 | + | 0.0324169i | \(0.989680\pi\) | |||||||
\(608\) | −4.34822 | − | 0.957117i | −0.176344 | − | 0.0388162i | ||||
\(609\) | 0.0829299 | − | 0.0785554i | 0.00336049 | − | 0.00318322i | ||||
\(610\) | 9.73858 | − | 3.28131i | 0.394304 | − | 0.132856i | ||||
\(611\) | 11.1854 | − | 28.0732i | 0.452513 | − | 1.13572i | ||||
\(612\) | −2.02189 | − | 7.28218i | −0.0817299 | − | 0.294365i | ||||
\(613\) | −31.7147 | + | 6.98092i | −1.28094 | + | 0.281957i | −0.802759 | − | 0.596303i | \(-0.796636\pi\) |
−0.478184 | + | 0.878260i | \(0.658705\pi\) | |||||||
\(614\) | 3.93781 | − | 5.80784i | 0.158917 | − | 0.234385i | ||||
\(615\) | −10.1587 | − | 19.1614i | −0.409640 | − | 0.772662i | ||||
\(616\) | 0.0163165 | − | 0.0307762i | 0.000657410 | − | 0.00124001i | ||||
\(617\) | 11.5995 | + | 17.1079i | 0.466976 | + | 0.688739i | 0.986136 | − | 0.165939i | \(-0.0530653\pi\) |
−0.519160 | + | 0.854677i | \(0.673755\pi\) | |||||||
\(618\) | −4.66381 | − | 4.41780i | −0.187606 | − | 0.177710i | ||||
\(619\) | −31.4323 | − | 14.5421i | −1.26337 | − | 0.584497i | −0.330193 | − | 0.943913i | \(-0.607114\pi\) |
−0.933177 | + | 0.359416i | \(0.882976\pi\) | |||||||
\(620\) | 21.3453 | + | 9.87539i | 0.857248 | + | 0.396605i | ||||
\(621\) | −5.50469 | − | 5.21432i | −0.220896 | − | 0.209243i | ||||
\(622\) | 0.389261 | + | 0.574117i | 0.0156079 | + | 0.0230200i | ||||
\(623\) | −0.0359058 | + | 0.0677256i | −0.00143854 | + | 0.00271337i | ||||
\(624\) | 2.69138 | + | 5.07649i | 0.107742 | + | 0.203222i | ||||
\(625\) | 14.5804 | − | 21.5045i | 0.583215 | − | 0.860178i | ||||
\(626\) | 14.5715 | − | 3.20744i | 0.582396 | − | 0.128195i | ||||
\(627\) | 1.67552 | + | 6.03467i | 0.0669138 | + | 0.241002i | ||||
\(628\) | 7.58758 | − | 19.0434i | 0.302777 | − | 0.759914i | ||||
\(629\) | −77.8652 | + | 26.2358i | −3.10469 | + | 1.04609i | ||||
\(630\) | 0.0410145 | − | 0.0388510i | 0.00163406 | − | 0.00154786i | ||||
\(631\) | 43.0757 | + | 9.48167i | 1.71481 | + | 0.377459i | 0.960332 | − | 0.278860i | \(-0.0899566\pi\) |
0.754483 | + | 0.656319i | \(0.227888\pi\) | |||||||
\(632\) | 0.103577 | + | 1.91036i | 0.00412006 | + | 0.0759900i | ||||
\(633\) | 3.05488 | + | 18.6339i | 0.121421 | + | 0.740633i | ||||
\(634\) | 3.84539 | + | 4.52715i | 0.152720 | + | 0.179796i | ||||
\(635\) | 12.8277 | + | 32.1951i | 0.509052 | + | 1.27762i | ||||
\(636\) | 0.276488 | − | 0.210181i | 0.0109635 | − | 0.00833422i | ||||
\(637\) | −34.4603 | + | 20.7341i | −1.36537 | + | 0.821514i | ||||
\(638\) | −1.04977 | + | 6.40329i | −0.0415606 | + | 0.253509i | ||||
\(639\) | −9.26185 | − | 1.00729i | −0.366393 | − | 0.0398476i | ||||
\(640\) | −1.81618 | − | 1.38063i | −0.0717909 | − | 0.0545740i | ||||
\(641\) | 4.14228 | − | 14.9191i | 0.163610 | − | 0.589271i | −0.835593 | − | 0.549350i | \(-0.814876\pi\) |
0.999203 | − | 0.0399212i | \(-0.0127107\pi\) | |||||||
\(642\) | −0.310744 | + | 5.73133i | −0.0122641 | + | 0.226198i | ||||
\(643\) | −3.83243 | + | 0.416802i | −0.151136 | + | 0.0164371i | −0.183374 | − | 0.983043i | \(-0.558702\pi\) |
0.0322380 | + | 0.999480i | \(0.489737\pi\) | |||||||
\(644\) | 0.160885 | + | 0.0968013i | 0.00633976 | + | 0.00381451i | ||||
\(645\) | 5.73432 | − | 6.75097i | 0.225789 | − | 0.265819i | ||||
\(646\) | −31.8877 | − | 10.7442i | −1.25460 | − | 0.422725i | ||||
\(647\) | 13.6365 | − | 6.30894i | 0.536108 | − | 0.248030i | −0.133103 | − | 0.991102i | \(-0.542494\pi\) |
0.669211 | + | 0.743072i | \(0.266632\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | −3.51811 | − | 10.2161i | −0.138098 | − | 0.401016i | ||||
\(650\) | −1.17582 | −0.0461195 | ||||||||
\(651\) | 0.231694 | − | 0.107193i | 0.00908082 | − | 0.00420123i | ||||
\(652\) | 12.9692 | + | 4.36984i | 0.507914 | + | 0.171136i | ||||
\(653\) | −7.68157 | + | 9.04345i | −0.300603 | + | 0.353898i | −0.891638 | − | 0.452748i | \(-0.850444\pi\) |
0.591035 | + | 0.806646i | \(0.298719\pi\) | |||||||
\(654\) | 10.5957 | + | 6.37524i | 0.414326 | + | 0.249291i | ||||
\(655\) | 22.0795 | − | 2.40129i | 0.862717 | − | 0.0938261i | ||||
\(656\) | −0.514670 | + | 9.49253i | −0.0200945 | + | 0.370621i | ||||
\(657\) | −0.912304 | + | 3.28582i | −0.0355924 | + | 0.128192i | ||||
\(658\) | 0.103683 | + | 0.0788180i | 0.00404200 | + | 0.00307265i | ||||
\(659\) | 28.9127 | + | 3.14444i | 1.12628 | + | 0.122490i | 0.652239 | − | 0.758013i | \(-0.273830\pi\) |
0.474040 | + | 0.880504i | \(0.342795\pi\) | |||||||
\(660\) | −0.519181 | + | 3.16687i | −0.0202091 | + | 0.123270i | ||||
\(661\) | −39.5363 | + | 23.7882i | −1.53778 | + | 0.925253i | −0.541355 | + | 0.840794i | \(0.682089\pi\) |
−0.996427 | + | 0.0844588i | \(0.973084\pi\) | |||||||
\(662\) | 9.92364 | − | 7.54375i | 0.385693 | − | 0.293196i | ||||
\(663\) | 16.0732 | + | 40.3406i | 0.624230 | + | 1.56670i | ||||
\(664\) | −6.86541 | − | 8.08259i | −0.266430 | − | 0.313665i | ||||
\(665\) | −0.0406930 | − | 0.248216i | −0.00157801 | − | 0.00962542i | ||||
\(666\) | −0.588595 | − | 10.8560i | −0.0228076 | − | 0.420661i | ||||
\(667\) | −34.1581 | − | 7.51876i | −1.32261 | − | 0.291128i | ||||
\(668\) | 10.9196 | − | 10.3436i | 0.422493 | − | 0.400206i | ||||
\(669\) | −5.43777 | + | 1.83220i | −0.210236 | + | 0.0708369i | ||||
\(670\) | −9.40987 | + | 23.6170i | −0.363535 | + | 0.912404i | ||||
\(671\) | 1.69517 | + | 6.10546i | 0.0654414 | + | 0.235699i | ||||
\(672\) | −0.0241843 | + | 0.00532338i | −0.000932931 | + | 0.000205354i | ||||
\(673\) | 17.1051 | − | 25.2282i | 0.659354 | − | 0.972475i | −0.340130 | − | 0.940378i | \(-0.610471\pi\) |
0.999485 | − | 0.0320968i | \(-0.0102185\pi\) | |||||||
\(674\) | −2.35558 | − | 4.44310i | −0.0907336 | − | 0.171142i | ||||
\(675\) | −0.0958550 | + | 0.180802i | −0.00368946 | + | 0.00695906i | ||||
\(676\) | −11.2317 | − | 16.5656i | −0.431990 | − | 0.637138i | ||||
\(677\) | 7.11620 | + | 6.74083i | 0.273498 | + | 0.259071i | 0.812139 | − | 0.583465i | \(-0.198303\pi\) |
−0.538641 | + | 0.842536i | \(0.681062\pi\) | |||||||
\(678\) | −4.44671 | − | 2.05727i | −0.170775 | − | 0.0790089i | ||||
\(679\) | 0.0962927 | + | 0.0445497i | 0.00369537 | + | 0.00170966i | ||||
\(680\) | −12.5175 | − | 11.8572i | −0.480023 | − | 0.454702i | ||||
\(681\) | −6.95084 | − | 10.2517i | −0.266357 | − | 0.392847i | ||||
\(682\) | −6.79270 | + | 12.8124i | −0.260106 | + | 0.490612i | ||||
\(683\) | −6.71755 | − | 12.6706i | −0.257040 | − | 0.484829i | 0.721085 | − | 0.692847i | \(-0.243644\pi\) |
−0.978125 | + | 0.208018i | \(0.933299\pi\) | |||||||
\(684\) | 2.49858 | − | 3.68513i | 0.0955357 | − | 0.140905i | ||||
\(685\) | 6.49606 | − | 1.42989i | 0.248202 | − | 0.0546334i | ||||
\(686\) | −0.0927443 | − | 0.334035i | −0.00354099 | − | 0.0127535i | ||||
\(687\) | 2.37337 | − | 5.95671i | 0.0905497 | − | 0.227263i | ||||
\(688\) | −3.67936 | + | 1.23972i | −0.140274 | + | 0.0472640i | ||||
\(689\) | −1.44876 | + | 1.37234i | −0.0551935 | + | 0.0522821i | ||||
\(690\) | −16.8935 | − | 3.71854i | −0.643125 | − | 0.141563i | ||||
\(691\) | −0.518955 | − | 9.57156i | −0.0197420 | − | 0.364119i | −0.991667 | − | 0.128828i | \(-0.958878\pi\) |
0.971925 | − | 0.235291i | \(-0.0756044\pi\) | |||||||
\(692\) | −0.908821 | − | 5.54356i | −0.0345482 | − | 0.210735i | ||||
\(693\) | 0.0225510 | + | 0.0265491i | 0.000856641 | + | 0.00100852i | ||||
\(694\) | 1.22527 | + | 3.07521i | 0.0465108 | + | 0.116733i | ||||
\(695\) | −9.79512 | + | 7.44606i | −0.371550 | + | 0.282445i | ||||
\(696\) | 3.95255 | − | 2.37817i | 0.149821 | − | 0.0901443i | ||||
\(697\) | −11.6235 | + | 70.9002i | −0.440271 | + | 2.68554i | ||||
\(698\) | −15.5027 | − | 1.68602i | −0.586784 | − | 0.0638166i | ||||
\(699\) | 12.6906 | + | 9.64718i | 0.480004 | + | 0.364890i | ||||
\(700\) | 0.00135571 | − | 0.00488284i | 5.12412e−5 | − | 0.000184554i | ||||
\(701\) | −0.562180 | + | 10.3688i | −0.0212333 | + | 0.391624i | 0.968529 | + | 0.248900i | \(0.0800690\pi\) |
−0.989762 | + | 0.142724i | \(0.954414\pi\) | |||||||
\(702\) | −5.71212 | + | 0.621231i | −0.215590 | + | 0.0234468i | ||||
\(703\) | −41.4764 | − | 24.9555i | −1.56431 | − | 0.941216i | ||||
\(704\) | 0.910662 | − | 1.07211i | 0.0343218 | − | 0.0404068i | ||||
\(705\) | −11.3706 | − | 3.83118i | −0.428240 | − | 0.144291i | ||||
\(706\) | −16.4447 | + | 7.60811i | −0.618903 | + | 0.286335i | ||||
\(707\) | 0.207501 | 0.00780388 | ||||||||
\(708\) | −3.91614 | + | 6.60786i | −0.147177 | + | 0.248339i | ||||
\(709\) | 17.7577 | 0.666906 | 0.333453 | − | 0.942767i | \(-0.391786\pi\) | ||||
0.333453 | + | 0.942767i | \(0.391786\pi\) | |||||||
\(710\) | −19.2899 | + | 8.92444i | −0.723935 | + | 0.334928i | ||||
\(711\) | −1.81302 | − | 0.610877i | −0.0679935 | − | 0.0229097i | ||||
\(712\) | −2.00399 | + | 2.35928i | −0.0751027 | + | 0.0884177i | ||||
\(713\) | −66.9779 | − | 40.2993i | −2.50834 | − | 1.50922i | ||||
\(714\) | −0.186055 | + | 0.0202347i | −0.00696295 | + | 0.000757266i | ||||
\(715\) | 0.998273 | − | 18.4121i | 0.0373333 | − | 0.688572i | ||||
\(716\) | −0.634375 | + | 2.28481i | −0.0237077 | + | 0.0853874i | ||||
\(717\) | 13.4236 | + | 10.2043i | 0.501312 | + | 0.381087i | ||||
\(718\) | 11.7058 | + | 1.27308i | 0.436855 | + | 0.0475109i | ||||
\(719\) | 6.50880 | − | 39.7019i | 0.242737 | − | 1.48063i | −0.531134 | − | 0.847288i | \(-0.678234\pi\) |
0.773871 | − | 0.633343i | \(-0.218318\pi\) | |||||||
\(720\) | 1.95481 | − | 1.17617i | 0.0728513 | − | 0.0438332i | ||||
\(721\) | −0.126642 | + | 0.0962711i | −0.00471641 | + | 0.00358532i | ||||
\(722\) | −0.304671 | − | 0.764666i | −0.0113387 | − | 0.0284579i | ||||
\(723\) | −9.21464 | − | 10.8483i | −0.342696 | − | 0.403453i | ||||
\(724\) | −0.726952 | − | 4.43421i | −0.0270170 | − | 0.164796i | ||||
\(725\) | 0.0511056 | + | 0.942587i | 0.00189801 | + | 0.0350068i | ||||
\(726\) | 8.81036 | + | 1.93931i | 0.326983 | + | 0.0719744i | ||||
\(727\) | −13.1174 | + | 12.4254i | −0.486496 | + | 0.460834i | −0.891198 | − | 0.453615i | \(-0.850134\pi\) |
0.404702 | + | 0.914449i | \(0.367375\pi\) | |||||||
\(728\) | 0.134837 | − | 0.0454318i | 0.00499739 | − | 0.00168382i | ||||
\(729\) | −0.370138 | + | 0.928977i | −0.0137088 | + | 0.0344065i | ||||
\(730\) | 2.08130 | + | 7.49617i | 0.0770324 | + | 0.277446i | ||||
\(731\) | −28.6574 | + | 6.30796i | −1.05993 | + | 0.233308i | ||||
\(732\) | 2.52789 | − | 3.72836i | 0.0934336 | − | 0.137804i | ||||
\(733\) | −3.79811 | − | 7.16399i | −0.140286 | − | 0.264608i | 0.803407 | − | 0.595431i | \(-0.203019\pi\) |
−0.943693 | + | 0.330823i | \(0.892674\pi\) | |||||||
\(734\) | −4.63700 | + | 8.74631i | −0.171155 | + | 0.322832i | ||||
\(735\) | 8.96113 | + | 13.2167i | 0.330536 | + | 0.487505i | ||||
\(736\) | 5.50469 | + | 5.21432i | 0.202906 | + | 0.192202i | ||||
\(737\) | −14.2266 | − | 6.58192i | −0.524043 | − | 0.242448i | ||||
\(738\) | −8.62784 | − | 3.99166i | −0.317595 | − | 0.146935i | ||||
\(739\) | −15.8139 | − | 14.9797i | −0.581723 | − | 0.551037i | 0.339234 | − | 0.940702i | \(-0.389832\pi\) |
−0.920957 | + | 0.389665i | \(0.872591\pi\) | |||||||
\(740\) | −13.9191 | − | 20.5291i | −0.511675 | − | 0.754664i | ||||
\(741\) | −11.9829 | + | 22.6021i | −0.440202 | + | 0.830310i | ||||
\(742\) | −0.00402853 | − | 0.00759860i | −0.000147892 | − | 0.000278954i | ||||
\(743\) | 0.256827 | − | 0.378791i | 0.00942206 | − | 0.0138965i | −0.822949 | − | 0.568116i | \(-0.807673\pi\) |
0.832371 | + | 0.554219i | \(0.186983\pi\) | |||||||
\(744\) | 10.0682 | − | 2.21617i | 0.369117 | − | 0.0812487i | ||||
\(745\) | −10.1004 | − | 36.3784i | −0.370050 | − | 1.33280i | ||||
\(746\) | −0.377063 | + | 0.946356i | −0.0138052 | + | 0.0346486i | ||||
\(747\) | 10.0497 | − | 3.38613i | 0.367699 | − | 0.123892i | ||||
\(748\) | 7.71817 | − | 7.31104i | 0.282204 | − | 0.267318i | ||||
\(749\) | 0.138812 | + | 0.0305548i | 0.00507208 | + | 0.00111645i | ||||
\(750\) | −0.592279 | − | 10.9239i | −0.0216270 | − | 0.398886i | ||||
\(751\) | −0.317358 | − | 1.93580i | −0.0115806 | − | 0.0706383i | 0.980404 | − | 0.196997i | \(-0.0631191\pi\) |
−0.991985 | + | 0.126359i | \(0.959671\pi\) | |||||||
\(752\) | 3.40487 | + | 4.00852i | 0.124163 | + | 0.146176i | ||||
\(753\) | −5.17726 | − | 12.9939i | −0.188670 | − | 0.473525i | ||||
\(754\) | −21.1000 | + | 16.0398i | −0.768418 | + | 0.584136i | ||||
\(755\) | 1.62976 | − | 0.980597i | 0.0593132 | − | 0.0356876i | ||||
\(756\) | 0.00400625 | − | 0.0244371i | 0.000145706 | − | 0.000888768i | ||||
\(757\) | 20.7993 | + | 2.26206i | 0.755962 | + | 0.0822158i | 0.477980 | − | 0.878370i | \(-0.341369\pi\) |
0.277982 | + | 0.960586i | \(0.410335\pi\) | |||||||
\(758\) | −28.1909 | − | 21.4302i | −1.02394 | − | 0.778378i | ||||
\(759\) | 2.85340 | − | 10.2770i | 0.103572 | − | 0.373032i | ||||
\(760\) | 0.549909 | − | 10.1425i | 0.0199473 | − | 0.367906i | ||||
\(761\) | −10.0845 | + | 1.09676i | −0.365563 | + | 0.0397573i | −0.289057 | − | 0.957312i | \(-0.593342\pi\) |
−0.0765055 | + | 0.997069i | \(0.524376\pi\) | |||||||
\(762\) | 13.0166 | + | 7.83184i | 0.471543 | + | 0.283718i | ||||
\(763\) | 0.198241 | − | 0.233388i | 0.00717682 | − | 0.00844920i | ||||
\(764\) | 19.2956 | + | 6.50143i | 0.698089 | + | 0.235213i | ||||
\(765\) | 15.6482 | − | 7.23964i | 0.565763 | − | 0.261750i | ||||
\(766\) | −8.68877 | −0.313938 | ||||||||
\(767\) | 18.2644 | − | 40.1778i | 0.659491 | − | 1.45073i | ||||
\(768\) | −1.00000 | −0.0360844 | ||||||||
\(769\) | −18.6065 | + | 8.60830i | −0.670969 | + | 0.310423i | −0.725633 | − | 0.688082i | \(-0.758453\pi\) |
0.0546647 | + | 0.998505i | \(0.482591\pi\) | |||||||
\(770\) | 0.0753090 | + | 0.0253745i | 0.00271395 | + | 0.000914435i | ||||
\(771\) | −6.83642 | + | 8.04846i | −0.246208 | + | 0.289858i | ||||
\(772\) | −14.0625 | − | 8.46115i | −0.506122 | − | 0.304523i | ||||
\(773\) | 27.5386 | − | 2.99501i | 0.990496 | − | 0.107723i | 0.401500 | − | 0.915859i | \(-0.368489\pi\) |
0.588996 | + | 0.808136i | \(0.299523\pi\) | |||||||
\(774\) | 0.210200 | − | 3.87691i | 0.00755549 | − | 0.139353i | ||||
\(775\) | −0.564396 | + | 2.03277i | −0.0202737 | + | 0.0730193i | ||||
\(776\) | 3.41088 | + | 2.59288i | 0.122443 | + | 0.0930790i | ||||
\(777\) | −0.267647 | − | 0.0291083i | −0.00960177 | − | 0.00104426i | ||||
\(778\) | −3.02487 | + | 18.4509i | −0.108447 | + | 0.661496i | ||||
\(779\) | −36.2672 | + | 21.8212i | −1.29941 | + | 0.781827i | ||||
\(780\) | −10.4354 | + | 7.93280i | −0.373648 | + | 0.284040i | ||||
\(781\) | −4.85074 | − | 12.1744i | −0.173573 | − | 0.435636i | ||||
\(782\) | 37.0979 | + | 43.6750i | 1.32662 | + | 1.56182i | ||||
\(783\) | 0.746275 | + | 4.55208i | 0.0266697 | + | 0.162678i | ||||
\(784\) | −0.378939 | − | 6.98912i | −0.0135335 | − | 0.249611i | ||||
\(785\) | 45.6731 | + | 10.0534i | 1.63014 | + | 0.358822i | ||||
\(786\) | 7.06774 | − | 6.69492i | 0.252098 | − | 0.238800i | ||||
\(787\) | −4.83078 | + | 1.62768i | −0.172199 | + | 0.0580205i | −0.404080 | − | 0.914724i | \(-0.632408\pi\) |
0.231882 | + | 0.972744i | \(0.425512\pi\) | |||||||
\(788\) | 7.35819 | − | 18.4677i | 0.262125 | − | 0.657883i | ||||
\(789\) | 1.10819 | + | 3.99134i | 0.0394526 | + | 0.142096i | ||||
\(790\) | −4.26259 | + | 0.938268i | −0.151656 | + | 0.0333821i | ||||
\(791\) | −0.0680883 | + | 0.100423i | −0.00242094 | + | 0.00357062i | ||||
\(792\) | 0.658898 | + | 1.24281i | 0.0234129 | + | 0.0441615i | ||||
\(793\) | −12.1235 | + | 22.8673i | −0.430516 | + | 0.812040i | ||||
\(794\) | −4.13278 | − | 6.09539i | −0.146667 | − | 0.216317i | ||||
\(795\) | 0.575231 | + | 0.544888i | 0.0204013 | + | 0.0193252i | ||||
\(796\) | −17.2487 | − | 7.98009i | −0.611363 | − | 0.282847i | ||||
\(797\) | −33.1053 | − | 15.3162i | −1.17265 | − | 0.542526i | −0.265821 | − | 0.964023i | \(-0.585643\pi\) |
−0.906830 | + | 0.421497i | \(0.861505\pi\) | |||||||
\(798\) | −0.0800439 | − | 0.0758216i | −0.00283352 | − | 0.00268406i | ||||
\(799\) | 22.3065 | + | 32.8996i | 0.789147 | + | 1.16391i | ||||
\(800\) | 0.0958550 | − | 0.180802i | 0.00338899 | − | 0.00639231i | ||||
\(801\) | −1.44996 | − | 2.73492i | −0.0512319 | − | 0.0966336i | ||||
\(802\) | 14.4212 | − | 21.2697i | 0.509231 | − | 0.751059i | ||||
\(803\) | −4.68478 | + | 1.03120i | −0.165322 | + | 0.0363902i | ||||
\(804\) | 2.98122 | + | 10.7374i | 0.105140 | + | 0.378678i | ||||
\(805\) | −0.158550 | + | 0.397931i | −0.00558816 | + | 0.0140252i | ||||
\(806\) | −56.1338 | + | 18.9137i | −1.97723 | + | 0.666206i | ||||
\(807\) | −5.55255 | + | 5.25965i | −0.195459 | + | 0.185149i | ||||
\(808\) | 8.18347 | + | 1.80132i | 0.287894 | + | 0.0633702i | ||||
\(809\) | −0.0299363 | − | 0.552143i | −0.00105251 | − | 0.0194123i | 0.997960 | − | 0.0638425i | \(-0.0203355\pi\) |
−0.999012 | + | 0.0444302i | \(0.985853\pi\) | |||||||
\(810\) | 0.369084 | + | 2.25131i | 0.0129683 | + | 0.0791031i | ||||
\(811\) | 24.5036 | + | 28.8479i | 0.860439 | + | 1.01299i | 0.999741 | + | 0.0227368i | \(0.00723796\pi\) |
−0.139303 | + | 0.990250i | \(0.544486\pi\) | |||||||
\(812\) | −0.0422806 | − | 0.106116i | −0.00148376 | − | 0.00372395i | ||||
\(813\) | −16.7688 | + | 12.7473i | −0.588108 | + | 0.447068i | ||||
\(814\) | 13.1041 | − | 7.88450i | 0.459300 | − | 0.276352i | ||||
\(815\) | −5.05115 | + | 30.8106i | −0.176934 | + | 1.07925i | ||||
\(816\) | −7.51335 | − | 0.817126i | −0.263020 | − | 0.0286051i | ||||
\(817\) | −13.7617 | − | 10.4614i | −0.481462 | − | 0.365998i | ||||
\(818\) | −5.62509 | + | 20.2597i | −0.196677 | + | 0.708365i | ||||
\(819\) | −0.00770316 | + | 0.142076i | −0.000269170 | + | 0.00496455i | ||||
\(820\) | −21.5606 | + | 2.34486i | −0.752930 | + | 0.0818860i | ||||
\(821\) | 39.9939 | + | 24.0635i | 1.39580 | + | 0.839823i | 0.997014 | − | 0.0772226i | \(-0.0246052\pi\) |
0.398783 | + | 0.917045i | \(0.369433\pi\) | |||||||
\(822\) | 1.88752 | − | 2.22217i | 0.0658350 | − | 0.0775069i | ||||
\(823\) | −25.7791 | − | 8.68600i | −0.898604 | − | 0.302775i | −0.168170 | − | 0.985758i | \(-0.553786\pi\) |
−0.730434 | + | 0.682983i | \(0.760682\pi\) | |||||||
\(824\) | −5.83028 | + | 2.69738i | −0.203108 | + | 0.0939676i | ||||
\(825\) | −0.287861 | −0.0100220 | ||||||||
\(826\) | 0.145788 | + | 0.122172i | 0.00507261 | + | 0.00425090i | ||||
\(827\) | −12.6235 | −0.438962 | −0.219481 | − | 0.975617i | \(-0.570436\pi\) | ||||
−0.219481 | + | 0.975617i | \(0.570436\pi\) | |||||||
\(828\) | −6.88148 | + | 3.18371i | −0.239148 | + | 0.110642i | ||||
\(829\) | 38.2433 | + | 12.8857i | 1.32824 | + | 0.447538i | 0.891896 | − | 0.452240i | \(-0.149375\pi\) |
0.436348 | + | 0.899778i | \(0.356272\pi\) | |||||||
\(830\) | 15.6625 | − | 18.4394i | 0.543654 | − | 0.640039i | ||||
\(831\) | −13.5808 | − | 8.17128i | −0.471112 | − | 0.283459i | ||||
\(832\) | 5.71212 | − | 0.621231i | 0.198032 | − | 0.0215373i | ||||
\(833\) | 2.86389 | − | 52.8214i | 0.0992280 | − | 1.83015i | ||||
\(834\) | −1.44285 | + | 5.19667i | −0.0499617 | + | 0.179946i | ||||
\(835\) | 27.3170 | + | 20.7658i | 0.945343 | + | 0.718631i | ||||
\(836\) | 6.22625 | + | 0.677145i | 0.215339 | + | 0.0234195i | ||||
\(837\) | −1.66784 | + | 10.1734i | −0.0576490 | + | 0.351643i | ||||
\(838\) | 20.2679 | − | 12.1948i | 0.700144 | − | 0.421263i | ||||
\(839\) | −23.8212 | + | 18.1084i | −0.822400 | + | 0.625172i | −0.929395 | − | 0.369088i | \(-0.879670\pi\) |
0.106995 | + | 0.994260i | \(0.465877\pi\) | |||||||
\(840\) | −0.0209107 | − | 0.0524818i | −0.000721486 | − | 0.00181079i | ||||
\(841\) | −4.99890 | − | 5.88516i | −0.172376 | − | 0.202937i | ||||
\(842\) | 4.64680 | + | 28.3442i | 0.160139 | + | 0.976807i | ||||
\(843\) | −0.837083 | − | 15.4391i | −0.0288307 | − | 0.531751i | ||||
\(844\) | 18.4412 | + | 4.05922i | 0.634773 | + | 0.139724i | ||||
\(845\) | 33.1489 | − | 31.4003i | 1.14036 | − | 1.08020i | ||||
\(846\) | −4.98409 | + | 1.67934i | −0.171357 | + | 0.0577368i | ||||
\(847\) | 0.0826875 | − | 0.207530i | 0.00284118 | − | 0.00713081i | ||||
\(848\) | −0.0929143 | − | 0.334647i | −0.00319069 | − | 0.0114918i | ||||
\(849\) | 1.39998 | − | 0.308160i | 0.0480473 | − | 0.0105760i | ||||
\(850\) | 0.867930 | − | 1.28010i | 0.0297698 | − | 0.0439071i | ||||
\(851\) | 38.6127 | + | 72.8313i | 1.32363 | + | 2.49663i | ||||
\(852\) | −4.36391 | + | 8.23120i | −0.149505 | + | 0.281996i | ||||
\(853\) | −24.4562 | − | 36.0702i | −0.837364 | − | 1.23502i | −0.969818 | − | 0.243830i | \(-0.921596\pi\) |
0.132454 | − | 0.991189i | \(-0.457714\pi\) | |||||||
\(854\) | −0.0809829 | − | 0.0767110i | −0.00277118 | − | 0.00262500i | ||||
\(855\) | 9.21858 | + | 4.26497i | 0.315269 | + | 0.145859i | ||||
\(856\) | 5.20925 | + | 2.41006i | 0.178049 | + | 0.0823741i | ||||
\(857\) | 1.64269 | + | 1.55604i | 0.0561132 | + | 0.0531532i | 0.715242 | − | 0.698877i | \(-0.246316\pi\) |
−0.659129 | + | 0.752030i | \(0.729075\pi\) | |||||||
\(858\) | −4.53578 | − | 6.68977i | −0.154849 | − | 0.228385i | ||||
\(859\) | 19.4396 | − | 36.6670i | 0.663270 | − | 1.25106i | −0.292308 | − | 0.956324i | \(-0.594423\pi\) |
0.955579 | − | 0.294736i | \(-0.0952318\pi\) | |||||||
\(860\) | −4.14900 | − | 7.82584i | −0.141480 | − | 0.266859i | ||||
\(861\) | −0.132110 | + | 0.194848i | −0.00450229 | + | 0.00664039i | ||||
\(862\) | −4.31625 | + | 0.950078i | −0.147012 | + | 0.0323598i | ||||
\(863\) | 9.28581 | + | 33.4445i | 0.316093 | + | 1.13846i | 0.935481 | + | 0.353378i | \(0.114967\pi\) |
−0.619388 | + | 0.785085i | \(0.712619\pi\) | |||||||
\(864\) | 0.370138 | − | 0.928977i | 0.0125924 | − | 0.0316044i | ||||
\(865\) | 12.1449 | − | 4.09208i | 0.412938 | − | 0.139135i | ||||
\(866\) | 18.6036 | − | 17.6223i | 0.632177 | − | 0.598830i | ||||
\(867\) | −39.1802 | − | 8.62422i | −1.33063 | − | 0.292894i | ||||
\(868\) | −0.0138211 | − | 0.254915i | −0.000469118 | − | 0.00865238i | ||||
\(869\) | −0.435388 | − | 2.65575i | −0.0147695 | − | 0.0900901i | ||||
\(870\) | 6.81283 | + | 8.02068i | 0.230977 | + | 0.271927i | ||||
\(871\) | −23.6995 | − | 59.4812i | −0.803027 | − | 2.01544i | ||||
\(872\) | 9.84433 | − | 7.48346i | 0.333371 | − | 0.253422i | ||||
\(873\) | −3.67122 | + | 2.20890i | −0.124252 | + | 0.0747600i | ||||
\(874\) | −5.46154 | + | 33.3139i | −0.184739 | + | 1.12686i | ||||
\(875\) | −0.269322 | − | 0.0292905i | −0.00910474 | − | 0.000990200i | ||||
\(876\) | 2.71477 | + | 2.06372i | 0.0917237 | + | 0.0697266i | ||||
\(877\) | 10.8999 | − | 39.2579i | 0.368064 | − | 1.32565i | −0.515321 | − | 0.856997i | \(-0.672327\pi\) |
0.883385 | − | 0.468649i | \(-0.155259\pi\) | |||||||
\(878\) | 1.18876 | − | 21.9254i | 0.0401187 | − | 0.739946i | ||||
\(879\) | −27.0832 | + | 2.94548i | −0.913495 | + | 0.0993486i | ||||
\(880\) | 2.74978 | + | 1.65449i | 0.0926949 | + | 0.0557727i | ||||
\(881\) | 1.64656 | − | 1.93849i | 0.0554742 | − | 0.0653092i | −0.733725 | − | 0.679446i | \(-0.762220\pi\) |
0.789199 | + | 0.614137i | \(0.210496\pi\) | |||||||
\(882\) | 6.63299 | + | 2.23491i | 0.223344 | + | 0.0752535i | ||||
\(883\) | −28.1563 | + | 13.0265i | −0.947536 | + | 0.438377i | −0.831907 | − | 0.554915i | \(-0.812751\pi\) |
−0.115630 | + | 0.993292i | \(0.536889\pi\) | |||||||
\(884\) | 43.4248 | 1.46053 | ||||||||
\(885\) | −16.3218 | − | 6.37760i | −0.548650 | − | 0.214381i | ||||
\(886\) | −28.8015 | −0.967605 | ||||||||
\(887\) | −30.6206 | + | 14.1666i | −1.02814 | + | 0.475668i | −0.860107 | − | 0.510113i | \(-0.829603\pi\) |
−0.168033 | + | 0.985781i | \(0.553741\pi\) | |||||||
\(888\) | −10.3028 | − | 3.47143i | −0.345740 | − | 0.116493i | ||||
\(889\) | 0.243535 | − | 0.286712i | 0.00816791 | − | 0.00961601i | ||||
\(890\) | −6.05112 | − | 3.64084i | −0.202834 | − | 0.122041i | ||||
\(891\) | −1.39843 | + | 0.152088i | −0.0468491 | + | 0.00509515i | ||||
\(892\) | −0.310657 | + | 5.72973i | −0.0104016 | + | 0.191845i | ||||
\(893\) | −6.26459 | + | 22.5630i | −0.209636 | + | 0.755042i | ||||
\(894\) | −13.1746 | − | 10.0151i | −0.440625 | − | 0.334954i | ||||
\(895\) | −5.37797 | − | 0.584889i | −0.179766 | − | 0.0195507i | ||||
\(896\) | −0.00400625 | + | 0.0244371i | −0.000133840 | + | 0.000816385i | ||||
\(897\) | 37.3300 | − | 22.4607i | 1.24641 | − | 0.749942i | ||||
\(898\) | −19.9385 | + | 15.1569i | −0.665357 | + | 0.505792i | ||||
\(899\) | 17.6018 | + | 44.1772i | 0.587053 | + | 1.47339i | ||||
\(900\) | 0.132481 | + | 0.155969i | 0.00441603 | + | 0.00519896i | ||||
\(901\) | −0.424649 | − | 2.59025i | −0.0141471 | − | 0.0862936i | ||||
\(902\) | −0.723973 | − | 13.3529i | −0.0241057 | − | 0.444603i | ||||
\(903\) | −0.0938983 | − | 0.0206686i | −0.00312474 | − | 0.000687807i | ||||
\(904\) | −3.55705 | + | 3.36942i | −0.118306 | + | 0.112065i | ||||
\(905\) | 9.71450 | − | 3.27320i | 0.322921 | − | 0.108805i | ||||
\(906\) | 0.308592 | − | 0.774508i | 0.0102523 | − | 0.0257313i | ||||
\(907\) | −0.749272 | − | 2.69863i | −0.0248792 | − | 0.0896067i | 0.950068 | − | 0.312042i | \(-0.101013\pi\) |
−0.974947 | + | 0.222436i | \(0.928599\pi\) | |||||||
\(908\) | −12.0964 | + | 2.66262i | −0.401433 | + | 0.0883620i | ||||
\(909\) | −4.70240 | + | 6.93552i | −0.155969 | + | 0.230037i | ||||
\(910\) | 0.152047 | + | 0.286792i | 0.00504033 | + | 0.00950706i | ||||
\(911\) | 3.29910 | − | 6.22276i | 0.109304 | − | 0.206169i | −0.822826 | − | 0.568294i | \(-0.807604\pi\) |
0.932130 | + | 0.362125i | \(0.117949\pi\) | |||||||
\(912\) | −2.49858 | − | 3.68513i | −0.0827363 | − | 0.122027i | ||||
\(913\) | 10.8300 | + | 10.2588i | 0.358422 | + | 0.339516i | ||||
\(914\) | 26.2157 | + | 12.1287i | 0.867139 | + | 0.401181i | ||||
\(915\) | 9.32672 | + | 4.31500i | 0.308332 | + | 0.142649i | ||||
\(916\) | −4.65517 | − | 4.40961i | −0.153811 | − | 0.145698i | ||||
\(917\) | −0.135289 | − | 0.199537i | −0.00446764 | − | 0.00658928i | ||||
\(918\) | 3.54007 | − | 6.67728i | 0.116840 | − | 0.220383i | ||||
\(919\) | −4.61760 | − | 8.70972i | −0.152321 | − | 0.287307i | 0.795595 | − | 0.605829i | \(-0.207158\pi\) |
−0.947916 | + | 0.318522i | \(0.896814\pi\) | |||||||
\(920\) | −9.70738 | + | 14.3173i | −0.320043 | + | 0.472028i | ||||
\(921\) | 6.85289 | − | 1.50843i | 0.225810 | − | 0.0497046i | ||||
\(922\) | −4.66156 | − | 16.7894i | −0.153520 | − | 0.552930i | ||||
\(923\) | 19.8137 | − | 49.7286i | 0.652176 | − | 1.63684i | ||||
\(924\) | 0.0330104 | − | 0.0111225i | 0.00108596 | − | 0.000365904i | ||||
\(925\) | 1.61522 | − | 1.53001i | 0.0531080 | − | 0.0503066i | ||||
\(926\) | 25.1039 | + | 5.52578i | 0.824965 | + | 0.181589i | ||||
\(927\) | −0.347790 | − | 6.41460i | −0.0114229 | − | 0.210683i | ||||
\(928\) | −0.746275 | − | 4.55208i | −0.0244977 | − | 0.149429i | ||||
\(929\) | 21.4993 | + | 25.3110i | 0.705370 | + | 0.830426i | 0.991817 | − | 0.127670i | \(-0.0407498\pi\) |
−0.286446 | + | 0.958096i | \(0.592474\pi\) | |||||||
\(930\) | 8.70530 | + | 21.8486i | 0.285458 | + | 0.716445i | ||||
\(931\) | 24.8090 | − | 18.8593i | 0.813083 | − | 0.618090i | ||||
\(932\) | 13.6593 | − | 8.21853i | 0.447425 | − | 0.269207i | ||||
\(933\) | −0.112218 | + | 0.684501i | −0.00367386 | + | 0.0224095i | ||||
\(934\) | −38.4235 | − | 4.17881i | −1.25726 | − | 0.136735i | ||||
\(935\) | 19.3081 | + | 14.6776i | 0.631443 | + | 0.480010i | ||||
\(936\) | −1.53717 | + | 5.53637i | −0.0502438 | + | 0.180962i | ||||
\(937\) | 1.90399 | − | 35.1171i | 0.0622007 | − | 1.14722i | −0.786236 | − | 0.617927i | \(-0.787973\pi\) |
0.848436 | − | 0.529298i | \(-0.177544\pi\) | |||||||
\(938\) | 0.274334 | − | 0.0298356i | 0.00895732 | − | 0.000974167i | ||||
\(939\) | 12.7846 | + | 7.69225i | 0.417210 | + | 0.251027i | ||||
\(940\) | −7.76776 | + | 9.14491i | −0.253356 | + | 0.298274i | ||||
\(941\) | −48.9545 | − | 16.4947i | −1.59587 | − | 0.537711i | −0.625685 | − | 0.780076i | \(-0.715181\pi\) |
−0.970185 | + | 0.242364i | \(0.922077\pi\) | |||||||
\(942\) | 18.6047 | − | 8.60744i | 0.606173 | − | 0.280446i | ||||
\(943\) | 72.0806 | 2.34727 | ||||||||
\(944\) | 4.68904 | + | 6.08382i | 0.152615 | + | 0.198012i | ||||
\(945\) | 0.0564942 | 0.00183776 | ||||||||
\(946\) | 4.95678 | − | 2.29325i | 0.161159 | − | 0.0745600i | ||||
\(947\) | −17.0996 | − | 5.76154i | −0.555664 | − | 0.187225i | 0.0274389 | − | 0.999623i | \(-0.491265\pi\) |
−0.583102 | + | 0.812399i | \(0.698161\pi\) | |||||||
\(948\) | −1.23856 | + | 1.45814i | −0.0402265 | + | 0.0473583i | ||||
\(949\) | −16.7892 | − | 10.1017i | −0.545000 | − | 0.327915i | ||||
\(950\) | 0.905780 | − | 0.0985095i | 0.0293874 | − | 0.00319607i | ||||
\(951\) | −0.321578 | + | 5.93116i | −0.0104279 | + | 0.192331i | ||||
\(952\) | −0.0500686 | + | 0.180331i | −0.00162273 | + | 0.00584455i | ||||
\(953\) | 19.6522 | + | 14.9392i | 0.636597 | + | 0.483929i | 0.872996 | − | 0.487727i | \(-0.162174\pi\) |
−0.236399 | + | 0.971656i | \(0.575967\pi\) | |||||||
\(954\) | 0.345271 | + | 0.0375504i | 0.0111785 | + | 0.00121574i | ||||
\(955\) | −7.51508 | + | 45.8399i | −0.243182 | + | 1.48335i | ||||
\(956\) | 14.4481 | − | 8.69316i | 0.467286 | − | 0.281157i | ||||
\(957\) | −5.16566 | + | 3.92684i | −0.166982 | + | 0.126937i | ||||
\(958\) | 12.2778 | + | 30.8149i | 0.396677 | + | 0.995584i | ||||
\(959\) | −0.0467413 | − | 0.0550281i | −0.00150936 | − | 0.00177695i | ||||
\(960\) | −0.369084 | − | 2.25131i | −0.0119121 | − | 0.0726609i | ||||
\(961\) | 4.07554 | + | 75.1689i | 0.131469 | + | 2.42480i | ||||
\(962\) | 61.0075 | + | 13.4288i | 1.96696 | + | 0.432961i | ||||
\(963\) | −4.16703 | + | 3.94722i | −0.134281 | + | 0.127197i | ||||
\(964\) | −13.4885 | + | 4.54481i | −0.434436 | + | 0.146378i | ||||
\(965\) | 13.8584 | − | 34.7821i | 0.446119 | − | 1.11967i | ||||
\(966\) | 0.0502316 | + | 0.180918i | 0.00161618 | + | 0.00582094i | ||||
\(967\) | −16.1015 | + | 3.54421i | −0.517790 | + | 0.113974i | −0.466174 | − | 0.884693i | \(-0.654368\pi\) |
−0.0516153 | + | 0.998667i | \(0.516437\pi\) | |||||||
\(968\) | 5.06262 | − | 7.46680i | 0.162719 | − | 0.239992i | ||||
\(969\) | −15.7615 | − | 29.7294i | −0.506333 | − | 0.955045i | ||||
\(970\) | −4.57849 | + | 8.63595i | −0.147006 | + | 0.277284i | ||||
\(971\) | 23.7447 | + | 35.0208i | 0.762004 | + | 1.12387i | 0.988700 | + | 0.149906i | \(0.0478972\pi\) |
−0.226696 | + | 0.973966i | \(0.572792\pi\) | |||||||
\(972\) | 0.725995 | + | 0.687699i | 0.0232863 | + | 0.0220580i | ||||
\(973\) | 0.121211 | + | 0.0560781i | 0.00388584 | + | 0.00179778i | ||||
\(974\) | −6.76626 | − | 3.13041i | −0.216805 | − | 0.100305i | ||||
\(975\) | −0.853640 | − | 0.808611i | −0.0273384 | − | 0.0258963i | ||||
\(976\) | −2.52789 | − | 3.72836i | −0.0809158 | − | 0.119342i | ||||
\(977\) | −4.30917 | + | 8.12796i | −0.137863 | + | 0.260037i | −0.942824 | − | 0.333290i | \(-0.891841\pi\) |
0.804962 | + | 0.593327i | \(0.202186\pi\) | |||||||
\(978\) | 6.41046 | + | 12.0914i | 0.204984 | + | 0.386641i | ||||
\(979\) | 2.44362 | − | 3.60407i | 0.0780983 | − | 0.115186i | ||||
\(980\) | 15.5948 | − | 3.43269i | 0.498159 | − | 0.109653i | ||||
\(981\) | 3.30820 | + | 11.9151i | 0.105623 | + | 0.380419i | ||||
\(982\) | 4.87088 | − | 12.2250i | 0.155436 | − | 0.390115i | ||||
\(983\) | 13.2674 | − | 4.47030i | 0.423164 | − | 0.142580i | −0.0996595 | − | 0.995022i | \(-0.531775\pi\) |
0.522823 | + | 0.852441i | \(0.324879\pi\) | |||||||
\(984\) | −6.90166 | + | 6.53760i | −0.220017 | + | 0.208411i | ||||
\(985\) | 44.2923 | + | 9.74948i | 1.41127 | + | 0.310644i | ||||
\(986\) | −1.88741 | − | 34.8112i | −0.0601073 | − | 1.10861i | ||||
\(987\) | 0.0210705 | + | 0.128525i | 0.000670682 | + | 0.00409098i | ||||
\(988\) | 16.5615 | + | 19.4977i | 0.526892 | + | 0.620306i | ||||
\(989\) | 10.8965 | + | 27.3481i | 0.346488 | + | 0.869619i | ||||
\(990\) | −2.55478 | + | 1.94209i | −0.0811961 | + | 0.0617237i | ||||
\(991\) | 40.8067 | − | 24.5526i | 1.29627 | − | 0.779938i | 0.310910 | − | 0.950439i | \(-0.399366\pi\) |
0.985358 | + | 0.170501i | \(0.0545386\pi\) | |||||||
\(992\) | 1.66784 | − | 10.1734i | 0.0529540 | − | 0.323005i | ||||
\(993\) | 12.3924 | + | 1.34775i | 0.393259 | + | 0.0427695i | ||||
\(994\) | 0.183664 | + | 0.139617i | 0.00582546 | + | 0.00442840i | ||||
\(995\) | 11.5995 | − | 41.7775i | 0.367728 | − | 1.32444i | ||||
\(996\) | 0.574133 | − | 10.5893i | 0.0181921 | − | 0.335534i | ||||
\(997\) | −7.65787 | + | 0.832843i | −0.242527 | + | 0.0263764i | −0.228575 | − | 0.973526i | \(-0.573407\pi\) |
−0.0139519 | + | 0.999903i | \(0.504441\pi\) | |||||||
\(998\) | −1.83096 | − | 1.10165i | −0.0579580 | − | 0.0348722i | ||||
\(999\) | 7.03834 | − | 8.28618i | 0.222683 | − | 0.262163i |
(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 | 354.2.e.c.121.3 | yes | 84 | |
59.20 | even | 29 | inner | 354.2.e.c.79.3 | ✓ | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.c.79.3 | ✓ | 84 | 59.20 | even | 29 | inner | |
354.2.e.c.121.3 | yes | 84 | 1.1 | even | 1 | trivial |