Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [560,2,Mod(43,560)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(560, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 3, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("560.43");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 560 = 2^{4} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 560.t (of order \(4\), 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: | \(4.47162251319\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(72\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 43.16 | ||
Character | \(\chi\) | \(=\) | 560.43 |
Dual form | 560.2.t.a.547.16 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/560\mathbb{Z}\right)^\times\).
\(n\) | \(241\) | \(337\) | \(351\) | \(421\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.09978 | − | 0.889090i | −0.777663 | − | 0.628681i | ||||
\(3\) | 2.37538i | 1.37142i | 0.727873 | + | 0.685712i | \(0.240509\pi\) | ||||
−0.727873 | + | 0.685712i | \(0.759491\pi\) | |||||||
\(4\) | 0.419039 | + | 1.95561i | 0.209519 | + | 0.977805i | ||||
\(5\) | −0.533053 | − | 2.17160i | −0.238389 | − | 0.971170i | ||||
\(6\) | 2.11192 | − | 2.61239i | 0.862189 | − | 1.06651i | ||||
\(7\) | −0.707107 | + | 0.707107i | −0.267261 | + | 0.267261i | ||||
\(8\) | 1.27786 | − | 2.52331i | 0.451792 | − | 0.892123i | ||||
\(9\) | −2.64241 | −0.880804 | ||||||||
\(10\) | −1.34451 | + | 2.86222i | −0.425170 | + | 0.905113i | ||||
\(11\) | 0.687717 | − | 0.687717i | 0.207355 | − | 0.207355i | −0.595788 | − | 0.803142i | \(-0.703160\pi\) |
0.803142 | + | 0.595788i | \(0.203160\pi\) | |||||||
\(12\) | −4.64531 | + | 0.995374i | −1.34098 | + | 0.287340i | ||||
\(13\) | 6.05133 | 1.67834 | 0.839169 | − | 0.543871i | \(-0.183042\pi\) | ||||
0.839169 | + | 0.543871i | \(0.183042\pi\) | |||||||
\(14\) | 1.40634 | − | 0.148981i | 0.375861 | − | 0.0398170i | ||||
\(15\) | 5.15837 | − | 1.26620i | 1.33189 | − | 0.326932i | ||||
\(16\) | −3.64881 | + | 1.63895i | −0.912203 | + | 0.409738i | ||||
\(17\) | 4.07805 | − | 4.07805i | 0.989072 | − | 0.989072i | −0.0108692 | − | 0.999941i | \(-0.503460\pi\) |
0.999941 | + | 0.0108692i | \(0.00345984\pi\) | |||||||
\(18\) | 2.90608 | + | 2.34934i | 0.684969 | + | 0.553745i | ||||
\(19\) | −2.38574 | + | 2.38574i | −0.547326 | + | 0.547326i | −0.925666 | − | 0.378341i | \(-0.876495\pi\) |
0.378341 | + | 0.925666i | \(0.376495\pi\) | |||||||
\(20\) | 4.02343 | − | 1.95243i | 0.899667 | − | 0.436576i | ||||
\(21\) | −1.67964 | − | 1.67964i | −0.366529 | − | 0.366529i | ||||
\(22\) | −1.36778 | + | 0.144896i | −0.291612 | + | 0.0308920i | ||||
\(23\) | 2.83792 | + | 2.83792i | 0.591747 | + | 0.591747i | 0.938103 | − | 0.346356i | \(-0.112581\pi\) |
−0.346356 | + | 0.938103i | \(0.612581\pi\) | |||||||
\(24\) | 5.99380 | + | 3.03540i | 1.22348 | + | 0.619599i | ||||
\(25\) | −4.43171 | + | 2.31516i | −0.886342 | + | 0.463032i | ||||
\(26\) | −6.65514 | − | 5.38018i | −1.30518 | − | 1.05514i | ||||
\(27\) | 0.849404i | 0.163468i | ||||||||
\(28\) | −1.67913 | − | 1.08652i | −0.317326 | − | 0.205333i | ||||
\(29\) | −1.13639 | − | 1.13639i | −0.211022 | − | 0.211022i | 0.593680 | − | 0.804702i | \(-0.297675\pi\) |
−0.804702 | + | 0.593680i | \(0.797675\pi\) | |||||||
\(30\) | −6.79885 | − | 3.19371i | −1.24129 | − | 0.583089i | ||||
\(31\) | 5.40683i | 0.971095i | 0.874210 | + | 0.485548i | \(0.161380\pi\) | ||||
−0.874210 | + | 0.485548i | \(0.838620\pi\) | |||||||
\(32\) | 5.47007 | + | 1.44164i | 0.966981 | + | 0.254847i | ||||
\(33\) | 1.63359 | + | 1.63359i | 0.284371 | + | 0.284371i | ||||
\(34\) | −8.11071 | + | 0.859210i | −1.39098 | + | 0.147353i | ||||
\(35\) | 1.91248 | + | 1.15863i | 0.323268 | + | 0.195844i | ||||
\(36\) | −1.10727 | − | 5.16753i | −0.184545 | − | 0.861254i | ||||
\(37\) | 6.98696 | 1.14865 | 0.574324 | − | 0.818628i | \(-0.305265\pi\) | ||||
0.574324 | + | 0.818628i | \(0.305265\pi\) | |||||||
\(38\) | 4.74492 | − | 0.502655i | 0.769728 | − | 0.0815414i | ||||
\(39\) | 14.3742i | 2.30171i | ||||||||
\(40\) | −6.16078 | − | 1.42995i | −0.974105 | − | 0.226095i | ||||
\(41\) | 5.40855i | 0.844674i | 0.906439 | + | 0.422337i | \(0.138790\pi\) | ||||
−0.906439 | + | 0.422337i | \(0.861210\pi\) | |||||||
\(42\) | 0.353887 | + | 3.34060i | 0.0546060 | + | 0.515465i | ||||
\(43\) | −0.891002 | −0.135877 | −0.0679383 | − | 0.997690i | \(-0.521642\pi\) | ||||
−0.0679383 | + | 0.997690i | \(0.521642\pi\) | |||||||
\(44\) | 1.63309 | + | 1.05673i | 0.246197 | + | 0.159307i | ||||
\(45\) | 1.40855 | + | 5.73827i | 0.209974 | + | 0.855411i | ||||
\(46\) | −0.597925 | − | 5.64425i | −0.0881593 | − | 0.832200i | ||||
\(47\) | 3.87464 | + | 3.87464i | 0.565175 | + | 0.565175i | 0.930773 | − | 0.365598i | \(-0.119135\pi\) |
−0.365598 | + | 0.930773i | \(0.619135\pi\) | |||||||
\(48\) | −3.89313 | − | 8.66731i | −0.561924 | − | 1.25102i | ||||
\(49\) | − | 1.00000i | − | 0.142857i | ||||||
\(50\) | 6.93229 | + | 1.39402i | 0.980375 | + | 0.197144i | ||||
\(51\) | 9.68690 | + | 9.68690i | 1.35644 | + | 1.35644i | ||||
\(52\) | 2.53574 | + | 11.8340i | 0.351644 | + | 1.64109i | ||||
\(53\) | 7.55987i | 1.03843i | 0.854644 | + | 0.519214i | \(0.173775\pi\) | ||||
−0.854644 | + | 0.519214i | \(0.826225\pi\) | |||||||
\(54\) | 0.755197 | − | 0.934159i | 0.102769 | − | 0.127123i | ||||
\(55\) | −1.86004 | − | 1.12686i | −0.250807 | − | 0.151946i | ||||
\(56\) | 0.880662 | + | 2.68783i | 0.117683 | + | 0.359177i | ||||
\(57\) | −5.66702 | − | 5.66702i | −0.750616 | − | 0.750616i | ||||
\(58\) | 0.239427 | + | 2.26013i | 0.0314384 | + | 0.296770i | ||||
\(59\) | −4.82059 | − | 4.82059i | −0.627587 | − | 0.627587i | 0.319873 | − | 0.947460i | \(-0.396360\pi\) |
−0.947460 | + | 0.319873i | \(0.896360\pi\) | |||||||
\(60\) | 4.63775 | + | 9.55717i | 0.598731 | + | 1.23383i | ||||
\(61\) | 1.88117 | − | 1.88117i | 0.240859 | − | 0.240859i | −0.576347 | − | 0.817205i | \(-0.695522\pi\) |
0.817205 | + | 0.576347i | \(0.195522\pi\) | |||||||
\(62\) | 4.80716 | − | 5.94633i | 0.610510 | − | 0.755185i | ||||
\(63\) | 1.86847 | − | 1.86847i | 0.235405 | − | 0.235405i | ||||
\(64\) | −4.73414 | − | 6.44887i | −0.591768 | − | 0.806109i | ||||
\(65\) | −3.22568 | − | 13.1411i | −0.400097 | − | 1.62995i | ||||
\(66\) | −0.344183 | − | 3.24900i | −0.0423660 | − | 0.399924i | ||||
\(67\) | −0.887380 | −0.108411 | −0.0542054 | − | 0.998530i | \(-0.517263\pi\) | ||||
−0.0542054 | + | 0.998530i | \(0.517263\pi\) | |||||||
\(68\) | 9.68392 | + | 6.26621i | 1.17435 | + | 0.759889i | ||||
\(69\) | −6.74112 | + | 6.74112i | −0.811536 | + | 0.811536i | ||||
\(70\) | −1.07318 | − | 2.97460i | −0.128270 | − | 0.355533i | ||||
\(71\) | 14.3596 | 1.70417 | 0.852086 | − | 0.523401i | \(-0.175337\pi\) | ||||
0.852086 | + | 0.523401i | \(0.175337\pi\) | |||||||
\(72\) | −3.37664 | + | 6.66761i | −0.397941 | + | 0.785786i | ||||
\(73\) | 7.54908 | − | 7.54908i | 0.883553 | − | 0.883553i | −0.110341 | − | 0.993894i | \(-0.535194\pi\) |
0.993894 | + | 0.110341i | \(0.0351942\pi\) | |||||||
\(74\) | −7.68412 | − | 6.21203i | −0.893261 | − | 0.722134i | ||||
\(75\) | −5.49937 | − | 10.5270i | −0.635013 | − | 1.21555i | ||||
\(76\) | −5.66528 | − | 3.66585i | −0.649853 | − | 0.420502i | ||||
\(77\) | 0.972579i | 0.110836i | ||||||||
\(78\) | 12.7799 | − | 15.8085i | 1.44704 | − | 1.78996i | ||||
\(79\) | 5.68501 | 0.639614 | 0.319807 | − | 0.947483i | \(-0.396382\pi\) | ||||
0.319807 | + | 0.947483i | \(0.396382\pi\) | |||||||
\(80\) | 5.50416 | + | 7.05012i | 0.615384 | + | 0.788228i | ||||
\(81\) | −9.94489 | −1.10499 | ||||||||
\(82\) | 4.80869 | − | 5.94823i | 0.531031 | − | 0.656872i | ||||
\(83\) | − | 13.1028i | − | 1.43822i | −0.694898 | − | 0.719108i | \(-0.744551\pi\) | ||
0.694898 | − | 0.719108i | \(-0.255449\pi\) | |||||||
\(84\) | 2.58089 | − | 3.98856i | 0.281598 | − | 0.435188i | ||||
\(85\) | −11.0297 | − | 6.68208i | −1.19634 | − | 0.724773i | ||||
\(86\) | 0.979908 | + | 0.792181i | 0.105666 | + | 0.0854231i | ||||
\(87\) | 2.69935 | − | 2.69935i | 0.289401 | − | 0.289401i | ||||
\(88\) | −0.856513 | − | 2.61413i | −0.0913046 | − | 0.278667i | ||||
\(89\) | 1.50123 | 0.159130 | 0.0795648 | − | 0.996830i | \(-0.474647\pi\) | ||||
0.0795648 | + | 0.996830i | \(0.474647\pi\) | |||||||
\(90\) | 3.55274 | − | 7.56317i | 0.374492 | − | 0.797228i | ||||
\(91\) | −4.27894 | + | 4.27894i | −0.448555 | + | 0.448555i | ||||
\(92\) | −4.36066 | + | 6.73905i | −0.454630 | + | 0.702595i | ||||
\(93\) | −12.8433 | −1.33178 | ||||||||
\(94\) | −0.816355 | − | 7.70617i | −0.0842006 | − | 0.794831i | ||||
\(95\) | 6.45260 | + | 3.90915i | 0.662022 | + | 0.401070i | ||||
\(96\) | −3.42443 | + | 12.9935i | −0.349504 | + | 1.32614i | ||||
\(97\) | −8.99779 | + | 8.99779i | −0.913587 | + | 0.913587i | −0.996552 | − | 0.0829655i | \(-0.973561\pi\) |
0.0829655 | + | 0.996552i | \(0.473561\pi\) | |||||||
\(98\) | −0.889090 | + | 1.09978i | −0.0898116 | + | 0.111095i | ||||
\(99\) | −1.81723 | + | 1.81723i | −0.182639 | + | 0.182639i | ||||
\(100\) | −6.38460 | − | 7.69655i | −0.638460 | − | 0.769655i | ||||
\(101\) | −9.56999 | − | 9.56999i | −0.952250 | − | 0.952250i | 0.0466610 | − | 0.998911i | \(-0.485142\pi\) |
−0.998911 | + | 0.0466610i | \(0.985142\pi\) | |||||||
\(102\) | −2.04095 | − | 19.2660i | −0.202084 | − | 1.90762i | ||||
\(103\) | −1.44935 | − | 1.44935i | −0.142809 | − | 0.142809i | 0.632088 | − | 0.774897i | \(-0.282198\pi\) |
−0.774897 | + | 0.632088i | \(0.782198\pi\) | |||||||
\(104\) | 7.73276 | − | 15.2694i | 0.758260 | − | 1.49728i | ||||
\(105\) | −2.75218 | + | 4.54286i | −0.268585 | + | 0.443338i | ||||
\(106\) | 6.72141 | − | 8.31421i | 0.652841 | − | 0.807547i | ||||
\(107\) | − | 15.3451i | − | 1.48346i | −0.670696 | − | 0.741732i | \(-0.734004\pi\) | ||
0.670696 | − | 0.741732i | \(-0.265996\pi\) | |||||||
\(108\) | −1.66110 | + | 0.355933i | −0.159840 | + | 0.0342497i | ||||
\(109\) | 10.2375 | + | 10.2375i | 0.980579 | + | 0.980579i | 0.999815 | − | 0.0192360i | \(-0.00612338\pi\) |
−0.0192360 | + | 0.999815i | \(0.506123\pi\) | |||||||
\(110\) | 1.04376 | + | 2.89304i | 0.0995183 | + | 0.275840i | ||||
\(111\) | 16.5967i | 1.57528i | ||||||||
\(112\) | 1.42119 | − | 3.73901i | 0.134290 | − | 0.353304i | ||||
\(113\) | 13.0337 | + | 13.0337i | 1.22611 | + | 1.22611i | 0.965424 | + | 0.260683i | \(0.0839477\pi\) |
0.260683 | + | 0.965424i | \(0.416052\pi\) | |||||||
\(114\) | 1.19399 | + | 11.2710i | 0.111828 | + | 1.05562i | ||||
\(115\) | 4.65007 | − | 7.67559i | 0.433621 | − | 0.715752i | ||||
\(116\) | 1.74614 | − | 2.69852i | 0.162125 | − | 0.250551i | ||||
\(117\) | −15.9901 | −1.47829 | ||||||||
\(118\) | 1.01566 | + | 9.58753i | 0.0934988 | + | 0.882603i | ||||
\(119\) | 5.76723i | 0.528681i | ||||||||
\(120\) | 3.39667 | − | 14.6342i | 0.310072 | − | 1.33591i | ||||
\(121\) | 10.0541i | 0.914008i | ||||||||
\(122\) | −3.74140 | + | 0.396346i | −0.338730 | + | 0.0358835i | ||||
\(123\) | −12.8474 | −1.15841 | ||||||||
\(124\) | −10.5736 | + | 2.26567i | −0.949541 | + | 0.203463i | ||||
\(125\) | 7.38994 | + | 8.38980i | 0.660976 | + | 0.750407i | ||||
\(126\) | −3.71614 | + | 0.393671i | −0.331060 | + | 0.0350710i | ||||
\(127\) | 1.33831 | + | 1.33831i | 0.118756 | + | 0.118756i | 0.763987 | − | 0.645231i | \(-0.223239\pi\) |
−0.645231 | + | 0.763987i | \(0.723239\pi\) | |||||||
\(128\) | −0.527104 | + | 11.3014i | −0.0465898 | + | 0.998914i | ||||
\(129\) | − | 2.11647i | − | 0.186344i | ||||||
\(130\) | −8.13606 | + | 17.3202i | −0.713580 | + | 1.51909i | ||||
\(131\) | −3.85010 | − | 3.85010i | −0.336385 | − | 0.336385i | 0.518620 | − | 0.855005i | \(-0.326446\pi\) |
−0.855005 | + | 0.518620i | \(0.826446\pi\) | |||||||
\(132\) | −2.51012 | + | 3.87919i | −0.218478 | + | 0.337641i | ||||
\(133\) | − | 3.37394i | − | 0.292558i | ||||||
\(134\) | 0.975924 | + | 0.788961i | 0.0843070 | + | 0.0681558i | ||||
\(135\) | 1.84457 | − | 0.452778i | 0.158755 | − | 0.0389689i | ||||
\(136\) | −5.07898 | − | 15.5013i | −0.435519 | − | 1.32923i | ||||
\(137\) | −4.79678 | − | 4.79678i | −0.409816 | − | 0.409816i | 0.471858 | − | 0.881674i | \(-0.343583\pi\) |
−0.881674 | + | 0.471858i | \(0.843583\pi\) | |||||||
\(138\) | 13.4072 | − | 1.42030i | 1.14130 | − | 0.120904i | ||||
\(139\) | −14.1926 | − | 14.1926i | −1.20380 | − | 1.20380i | −0.973001 | − | 0.230802i | \(-0.925865\pi\) |
−0.230802 | − | 0.973001i | \(-0.574135\pi\) | |||||||
\(140\) | −1.46442 | + | 4.22557i | −0.123766 | + | 0.357126i | ||||
\(141\) | −9.20374 | + | 9.20374i | −0.775095 | + | 0.775095i | ||||
\(142\) | −15.7924 | − | 12.7670i | −1.32527 | − | 1.07138i | ||||
\(143\) | 4.16161 | − | 4.16161i | 0.348011 | − | 0.348011i | ||||
\(144\) | 9.64167 | − | 4.33078i | 0.803473 | − | 0.360899i | ||||
\(145\) | −1.86203 | + | 3.07354i | −0.154633 | + | 0.255243i | ||||
\(146\) | −15.0141 | + | 1.59053i | −1.24258 | + | 0.131633i | ||||
\(147\) | 2.37538 | 0.195918 | ||||||||
\(148\) | 2.92780 | + | 13.6638i | 0.240664 | + | 1.12315i | ||||
\(149\) | 1.48023 | − | 1.48023i | 0.121266 | − | 0.121266i | −0.643870 | − | 0.765135i | \(-0.722672\pi\) |
0.765135 | + | 0.643870i | \(0.222672\pi\) | |||||||
\(150\) | −3.31132 | + | 16.4668i | −0.270368 | + | 1.34451i | ||||
\(151\) | −3.51235 | −0.285831 | −0.142915 | − | 0.989735i | \(-0.545648\pi\) | ||||
−0.142915 | + | 0.989735i | \(0.545648\pi\) | |||||||
\(152\) | 2.97130 | + | 9.06858i | 0.241004 | + | 0.735559i | ||||
\(153\) | −10.7759 | + | 10.7759i | −0.871179 | + | 0.871179i | ||||
\(154\) | 0.864710 | − | 1.06962i | 0.0696803 | − | 0.0861928i | ||||
\(155\) | 11.7415 | − | 2.88213i | 0.943099 | − | 0.231498i | ||||
\(156\) | −28.1103 | + | 6.02334i | −2.25063 | + | 0.482253i | ||||
\(157\) | − | 13.1146i | − | 1.04666i | −0.852131 | − | 0.523329i | \(-0.824690\pi\) | ||
0.852131 | − | 0.523329i | \(-0.175310\pi\) | |||||||
\(158\) | −6.25227 | − | 5.05448i | −0.497404 | − | 0.402113i | ||||
\(159\) | −17.9575 | −1.42413 | ||||||||
\(160\) | 0.214818 | − | 12.6473i | 0.0169829 | − | 0.999856i | ||||
\(161\) | −4.01342 | −0.316302 | ||||||||
\(162\) | 10.9372 | + | 8.84190i | 0.859308 | + | 0.694686i | ||||
\(163\) | 12.5244i | 0.980987i | 0.871445 | + | 0.490493i | \(0.163183\pi\) | ||||
−0.871445 | + | 0.490493i | \(0.836817\pi\) | |||||||
\(164\) | −10.5770 | + | 2.26639i | −0.825926 | + | 0.176976i | ||||
\(165\) | 2.67671 | − | 4.41829i | 0.208382 | − | 0.343963i | ||||
\(166\) | −11.6495 | + | 14.4102i | −0.904180 | + | 1.11845i | ||||
\(167\) | 7.52389 | − | 7.52389i | 0.582216 | − | 0.582216i | −0.353296 | − | 0.935512i | \(-0.614939\pi\) |
0.935512 | + | 0.353296i | \(0.114939\pi\) | |||||||
\(168\) | −6.38461 | + | 2.09190i | −0.492583 | + | 0.161394i | ||||
\(169\) | 23.6186 | 1.81682 | ||||||||
\(170\) | 6.18930 | + | 17.1552i | 0.474698 | + | 1.31575i | ||||
\(171\) | 6.30410 | − | 6.30410i | 0.482087 | − | 0.482087i | ||||
\(172\) | −0.373364 | − | 1.74245i | −0.0284687 | − | 0.132861i | ||||
\(173\) | −23.7672 | −1.80699 | −0.903494 | − | 0.428601i | \(-0.859007\pi\) | ||||
−0.903494 | + | 0.428601i | \(0.859007\pi\) | |||||||
\(174\) | −5.36866 | + | 0.568730i | −0.406997 | + | 0.0431153i | ||||
\(175\) | 1.49663 | − | 4.77076i | 0.113134 | − | 0.360635i | ||||
\(176\) | −1.38222 | + | 3.63649i | −0.104189 | + | 0.274111i | ||||
\(177\) | 11.4507 | − | 11.4507i | 0.860688 | − | 0.860688i | ||||
\(178\) | −1.65102 | − | 1.33472i | −0.123749 | − | 0.100042i | ||||
\(179\) | −15.0765 | + | 15.0765i | −1.12687 | + | 1.12687i | −0.136189 | + | 0.990683i | \(0.543485\pi\) |
−0.990683 | + | 0.136189i | \(0.956515\pi\) | |||||||
\(180\) | −10.6316 | + | 5.15912i | −0.792431 | + | 0.384538i | ||||
\(181\) | −17.3931 | − | 17.3931i | −1.29282 | − | 1.29282i | −0.933035 | − | 0.359785i | \(-0.882850\pi\) |
−0.359785 | − | 0.933035i | \(-0.617150\pi\) | |||||||
\(182\) | 8.51026 | − | 0.901536i | 0.630822 | − | 0.0668263i | ||||
\(183\) | 4.46848 | + | 4.46848i | 0.330319 | + | 0.330319i | ||||
\(184\) | 10.7874 | − | 3.53447i | 0.795258 | − | 0.260564i | ||||
\(185\) | −3.72442 | − | 15.1729i | −0.273825 | − | 1.11553i | ||||
\(186\) | 14.1248 | + | 11.4188i | 1.03568 | + | 0.837268i | ||||
\(187\) | − | 5.60909i | − | 0.410177i | ||||||
\(188\) | −5.95366 | + | 9.20091i | −0.434216 | + | 0.671046i | ||||
\(189\) | −0.600619 | − | 0.600619i | −0.0436886 | − | 0.0436886i | ||||
\(190\) | −3.62086 | − | 10.0361i | −0.262685 | − | 0.728098i | ||||
\(191\) | 11.9441i | 0.864247i | 0.901814 | + | 0.432124i | \(0.142236\pi\) | ||||
−0.901814 | + | 0.432124i | \(0.857764\pi\) | |||||||
\(192\) | 15.3185 | − | 11.2454i | 1.10552 | − | 0.811564i | ||||
\(193\) | −2.94923 | − | 2.94923i | −0.212290 | − | 0.212290i | 0.592949 | − | 0.805240i | \(-0.297963\pi\) |
−0.805240 | + | 0.592949i | \(0.797963\pi\) | |||||||
\(194\) | 17.8954 | − | 1.89576i | 1.28482 | − | 0.136108i | ||||
\(195\) | 31.2150 | − | 7.66221i | 2.23535 | − | 0.548702i | ||||
\(196\) | 1.95561 | − | 0.419039i | 0.139686 | − | 0.0299313i | ||||
\(197\) | −3.06506 | −0.218377 | −0.109188 | − | 0.994021i | \(-0.534825\pi\) | ||||
−0.109188 | + | 0.994021i | \(0.534825\pi\) | |||||||
\(198\) | 3.61424 | − | 0.382876i | 0.256853 | − | 0.0272098i | ||||
\(199\) | − | 23.5139i | − | 1.66686i | −0.552625 | − | 0.833430i | \(-0.686374\pi\) | ||
0.552625 | − | 0.833430i | \(-0.313626\pi\) | |||||||
\(200\) | 0.178742 | + | 14.1410i | 0.0126390 | + | 0.999920i | ||||
\(201\) | − | 2.10786i | − | 0.148677i | ||||||
\(202\) | 2.01632 | + | 19.0335i | 0.141868 | + | 1.33919i | ||||
\(203\) | 1.60710 | 0.112796 | ||||||||
\(204\) | −14.8846 | + | 23.0030i | −1.04213 | + | 1.61053i | ||||
\(205\) | 11.7452 | − | 2.88305i | 0.820322 | − | 0.201361i | ||||
\(206\) | 0.305366 | + | 2.88257i | 0.0212759 | + | 0.200838i | ||||
\(207\) | −7.49895 | − | 7.49895i | −0.521213 | − | 0.521213i | ||||
\(208\) | −22.0802 | + | 9.91784i | −1.53099 | + | 0.687678i | ||||
\(209\) | 3.28143i | 0.226981i | ||||||||
\(210\) | 7.06581 | − | 2.54922i | 0.487587 | − | 0.175913i | ||||
\(211\) | −3.49115 | − | 3.49115i | −0.240341 | − | 0.240341i | 0.576650 | − | 0.816991i | \(-0.304359\pi\) |
−0.816991 | + | 0.576650i | \(0.804359\pi\) | |||||||
\(212\) | −14.7842 | + | 3.16788i | −1.01538 | + | 0.217571i | ||||
\(213\) | 34.1095i | 2.33714i | ||||||||
\(214\) | −13.6432 | + | 16.8762i | −0.932627 | + | 1.15364i | ||||
\(215\) | 0.474951 | + | 1.93490i | 0.0323914 | + | 0.131959i | ||||
\(216\) | 2.14331 | + | 1.08542i | 0.145834 | + | 0.0738535i | ||||
\(217\) | −3.82321 | − | 3.82321i | −0.259536 | − | 0.259536i | ||||
\(218\) | −2.15696 | − | 20.3612i | −0.146088 | − | 1.37903i | ||||
\(219\) | 17.9319 | + | 17.9319i | 1.21173 | + | 1.21173i | ||||
\(220\) | 1.42427 | − | 4.10970i | 0.0960240 | − | 0.277076i | ||||
\(221\) | 24.6776 | − | 24.6776i | 1.66000 | − | 1.66000i | ||||
\(222\) | 14.7559 | − | 18.2527i | 0.990352 | − | 1.22504i | ||||
\(223\) | −0.585016 | + | 0.585016i | −0.0391756 | + | 0.0391756i | −0.726423 | − | 0.687248i | \(-0.758819\pi\) |
0.687248 | + | 0.726423i | \(0.258819\pi\) | |||||||
\(224\) | −4.88731 | + | 2.84854i | −0.326547 | + | 0.190326i | ||||
\(225\) | 11.7104 | − | 6.11760i | 0.780694 | − | 0.407840i | ||||
\(226\) | −2.74609 | − | 25.9224i | −0.182667 | − | 1.72433i | ||||
\(227\) | 12.7085 | 0.843492 | 0.421746 | − | 0.906714i | \(-0.361417\pi\) | ||||
0.421746 | + | 0.906714i | \(0.361417\pi\) | |||||||
\(228\) | 8.70778 | − | 13.4572i | 0.576687 | − | 0.891224i | ||||
\(229\) | 11.0321 | − | 11.0321i | 0.729019 | − | 0.729019i | −0.241406 | − | 0.970424i | \(-0.577608\pi\) |
0.970424 | + | 0.241406i | \(0.0776084\pi\) | |||||||
\(230\) | −11.9383 | + | 4.30714i | −0.787191 | + | 0.284005i | ||||
\(231\) | −2.31024 | −0.152003 | ||||||||
\(232\) | −4.31960 | + | 1.41531i | −0.283596 | + | 0.0929195i | ||||
\(233\) | 0.175592 | − | 0.175592i | 0.0115034 | − | 0.0115034i | −0.701332 | − | 0.712835i | \(-0.747411\pi\) |
0.712835 | + | 0.701332i | \(0.247411\pi\) | |||||||
\(234\) | 17.5856 | + | 14.2167i | 1.14961 | + | 0.929372i | ||||
\(235\) | 6.34879 | − | 10.4796i | 0.414150 | − | 0.683612i | ||||
\(236\) | 7.40717 | − | 11.4472i | 0.482166 | − | 0.745149i | ||||
\(237\) | 13.5040i | 0.877181i | ||||||||
\(238\) | 5.12759 | − | 6.34269i | 0.332372 | − | 0.411136i | ||||
\(239\) | 19.0313 | 1.23103 | 0.615517 | − | 0.788123i | \(-0.288947\pi\) | ||||
0.615517 | + | 0.788123i | \(0.288947\pi\) | |||||||
\(240\) | −16.7467 | + | 13.0745i | −1.08099 | + | 0.843952i | ||||
\(241\) | −21.7789 | −1.40290 | −0.701451 | − | 0.712718i | \(-0.747464\pi\) | ||||
−0.701451 | + | 0.712718i | \(0.747464\pi\) | |||||||
\(242\) | 8.93899 | − | 11.0573i | 0.574620 | − | 0.710790i | ||||
\(243\) | − | 21.0747i | − | 1.35194i | ||||||
\(244\) | 4.46711 | + | 2.89055i | 0.285977 | + | 0.185048i | ||||
\(245\) | −2.17160 | + | 0.533053i | −0.138739 | + | 0.0340555i | ||||
\(246\) | 14.1293 | + | 11.4224i | 0.900850 | + | 0.728269i | ||||
\(247\) | −14.4369 | + | 14.4369i | −0.918597 | + | 0.918597i | ||||
\(248\) | 13.6431 | + | 6.90918i | 0.866337 | + | 0.438733i | ||||
\(249\) | 31.1240 | 1.97240 | ||||||||
\(250\) | −0.668027 | − | 15.7973i | −0.0422497 | − | 0.999107i | ||||
\(251\) | −4.74684 | + | 4.74684i | −0.299618 | + | 0.299618i | −0.840864 | − | 0.541246i | \(-0.817953\pi\) |
0.541246 | + | 0.840864i | \(0.317953\pi\) | |||||||
\(252\) | 4.43695 | + | 2.87103i | 0.279502 | + | 0.180858i | ||||
\(253\) | 3.90337 | 0.245403 | ||||||||
\(254\) | −0.281971 | − | 2.66173i | −0.0176925 | − | 0.167012i | ||||
\(255\) | 15.8725 | − | 26.1997i | 0.993971 | − | 1.64069i | ||||
\(256\) | 10.6277 | − | 11.9605i | 0.664230 | − | 0.747528i | ||||
\(257\) | 7.93030 | − | 7.93030i | 0.494678 | − | 0.494678i | −0.415098 | − | 0.909777i | \(-0.636253\pi\) |
0.909777 | + | 0.415098i | \(0.136253\pi\) | |||||||
\(258\) | −1.88173 | + | 2.32765i | −0.117151 | + | 0.144913i | ||||
\(259\) | −4.94052 | + | 4.94052i | −0.306989 | + | 0.306989i | ||||
\(260\) | 24.3471 | − | 11.8148i | 1.50995 | − | 0.732722i | ||||
\(261\) | 3.00281 | + | 3.00281i | 0.185869 | + | 0.185869i | ||||
\(262\) | 0.811184 | + | 7.65736i | 0.0501151 | + | 0.473073i | ||||
\(263\) | −11.8724 | − | 11.8724i | −0.732085 | − | 0.732085i | 0.238948 | − | 0.971032i | \(-0.423198\pi\) |
−0.971032 | + | 0.238948i | \(0.923198\pi\) | |||||||
\(264\) | 6.20954 | − | 2.03454i | 0.382171 | − | 0.125217i | ||||
\(265\) | 16.4170 | − | 4.02981i | 1.00849 | − | 0.247549i | ||||
\(266\) | −2.99974 | + | 3.71060i | −0.183926 | + | 0.227511i | ||||
\(267\) | 3.56598i | 0.218234i | ||||||||
\(268\) | −0.371846 | − | 1.73537i | −0.0227141 | − | 0.106005i | ||||
\(269\) | −3.89222 | − | 3.89222i | −0.237313 | − | 0.237313i | 0.578423 | − | 0.815737i | \(-0.303668\pi\) |
−0.815737 | + | 0.578423i | \(0.803668\pi\) | |||||||
\(270\) | −2.43118 | − | 1.14203i | −0.147957 | − | 0.0695017i | ||||
\(271\) | 31.7298i | 1.92745i | 0.266902 | + | 0.963724i | \(0.414000\pi\) | ||||
−0.266902 | + | 0.963724i | \(0.586000\pi\) | |||||||
\(272\) | −8.19631 | + | 21.5638i | −0.496975 | + | 1.30749i | ||||
\(273\) | −10.1641 | − | 10.1641i | −0.615159 | − | 0.615159i | ||||
\(274\) | 1.01064 | + | 9.54017i | 0.0610550 | + | 0.576343i | ||||
\(275\) | −1.45559 | + | 4.63994i | −0.0877753 | + | 0.279799i | ||||
\(276\) | −16.0078 | − | 10.3582i | −0.963556 | − | 0.623491i | ||||
\(277\) | −9.51177 | −0.571507 | −0.285753 | − | 0.958303i | \(-0.592244\pi\) | ||||
−0.285753 | + | 0.958303i | \(0.592244\pi\) | |||||||
\(278\) | 2.99027 | + | 28.2273i | 0.179344 | + | 1.69296i | ||||
\(279\) | − | 14.2871i | − | 0.855345i | ||||||
\(280\) | 5.36746 | − | 3.34520i | 0.320767 | − | 0.199914i | ||||
\(281\) | 5.40996i | 0.322731i | 0.986895 | + | 0.161365i | \(0.0515898\pi\) | ||||
−0.986895 | + | 0.161365i | \(0.948410\pi\) | |||||||
\(282\) | 18.3050 | − | 1.93915i | 1.09005 | − | 0.115475i | ||||
\(283\) | 23.1613 | 1.37680 | 0.688399 | − | 0.725332i | \(-0.258314\pi\) | ||||
0.688399 | + | 0.725332i | \(0.258314\pi\) | |||||||
\(284\) | 6.01723 | + | 28.0818i | 0.357057 | + | 1.66635i | ||||
\(285\) | −9.28569 | + | 15.3273i | −0.550037 | + | 0.907913i | ||||
\(286\) | −8.27690 | + | 0.876816i | −0.489423 | + | 0.0518472i | ||||
\(287\) | −3.82443 | − | 3.82443i | −0.225749 | − | 0.225749i | ||||
\(288\) | −14.4542 | − | 3.80940i | −0.851721 | − | 0.224471i | ||||
\(289\) | − | 16.2609i | − | 0.956526i | ||||||
\(290\) | 4.78047 | − | 1.72471i | 0.280719 | − | 0.101278i | ||||
\(291\) | −21.3731 | − | 21.3731i | −1.25292 | − | 1.25292i | ||||
\(292\) | 17.9264 | + | 11.5997i | 1.04906 | + | 0.678821i | ||||
\(293\) | 21.0839i | 1.23173i | 0.787850 | + | 0.615867i | \(0.211194\pi\) | ||||
−0.787850 | + | 0.615867i | \(0.788806\pi\) | |||||||
\(294\) | −2.61239 | − | 2.11192i | −0.152358 | − | 0.123170i | ||||
\(295\) | −7.89877 | + | 13.0380i | −0.459884 | + | 0.759103i | ||||
\(296\) | 8.92836 | − | 17.6302i | 0.518950 | − | 1.02474i | ||||
\(297\) | 0.584150 | + | 0.584150i | 0.0338958 | + | 0.0338958i | ||||
\(298\) | −2.94400 | + | 0.311873i | −0.170541 | + | 0.0180663i | ||||
\(299\) | 17.1732 | + | 17.1732i | 0.993151 | + | 0.993151i | ||||
\(300\) | 18.2822 | − | 15.1658i | 1.05552 | − | 0.875600i | ||||
\(301\) | 0.630034 | − | 0.630034i | 0.0363145 | − | 0.0363145i | ||||
\(302\) | 3.86282 | + | 3.12279i | 0.222280 | + | 0.179697i | ||||
\(303\) | 22.7323 | − | 22.7323i | 1.30594 | − | 1.30594i | ||||
\(304\) | 4.79500 | − | 12.6152i | 0.275012 | − | 0.723532i | ||||
\(305\) | −5.08791 | − | 3.08238i | −0.291333 | − | 0.176497i | ||||
\(306\) | 21.4318 | − | 2.27039i | 1.22518 | − | 0.129789i | ||||
\(307\) | −13.8446 | −0.790151 | −0.395075 | − | 0.918649i | \(-0.629282\pi\) | ||||
−0.395075 | + | 0.918649i | \(0.629282\pi\) | |||||||
\(308\) | −1.90198 | + | 0.407548i | −0.108376 | + | 0.0232222i | ||||
\(309\) | 3.44275 | − | 3.44275i | 0.195851 | − | 0.195851i | ||||
\(310\) | −15.4755 | − | 7.26952i | −0.878951 | − | 0.412881i | ||||
\(311\) | −25.9420 | −1.47103 | −0.735517 | − | 0.677506i | \(-0.763061\pi\) | ||||
−0.735517 | + | 0.677506i | \(0.763061\pi\) | |||||||
\(312\) | 36.2705 | + | 18.3682i | 2.05341 | + | 1.03990i | ||||
\(313\) | 15.5163 | − | 15.5163i | 0.877035 | − | 0.877035i | −0.116192 | − | 0.993227i | \(-0.537069\pi\) |
0.993227 | + | 0.116192i | \(0.0370688\pi\) | |||||||
\(314\) | −11.6601 | + | 14.4232i | −0.658015 | + | 0.813947i | ||||
\(315\) | −5.05356 | − | 3.06158i | −0.284736 | − | 0.172500i | ||||
\(316\) | 2.38224 | + | 11.1177i | 0.134011 | + | 0.625417i | ||||
\(317\) | − | 14.2709i | − | 0.801534i | −0.916180 | − | 0.400767i | \(-0.868744\pi\) | ||
0.916180 | − | 0.400767i | \(-0.131256\pi\) | |||||||
\(318\) | 19.7494 | + | 15.9659i | 1.10749 | + | 0.895321i | ||||
\(319\) | −1.56303 | −0.0875127 | ||||||||
\(320\) | −11.4808 | + | 13.7183i | −0.641798 | + | 0.766874i | ||||
\(321\) | 36.4503 | 2.03446 | ||||||||
\(322\) | 4.41389 | + | 3.56829i | 0.245976 | + | 0.198853i | ||||
\(323\) | 19.4583i | 1.08269i | ||||||||
\(324\) | −4.16729 | − | 19.4483i | −0.231516 | − | 1.08046i | ||||
\(325\) | −26.8177 | + | 14.0098i | −1.48758 | + | 0.777124i | ||||
\(326\) | 11.1353 | − | 13.7741i | 0.616728 | − | 0.762877i | ||||
\(327\) | −24.3180 | + | 24.3180i | −1.34479 | + | 1.34479i | ||||
\(328\) | 13.6474 | + | 6.91138i | 0.753553 | + | 0.381617i | ||||
\(329\) | −5.47957 | −0.302099 | ||||||||
\(330\) | −6.87206 | + | 2.47932i | −0.378294 | + | 0.136482i | ||||
\(331\) | −11.6211 | + | 11.6211i | −0.638751 | + | 0.638751i | −0.950247 | − | 0.311496i | \(-0.899170\pi\) |
0.311496 | + | 0.950247i | \(0.399170\pi\) | |||||||
\(332\) | 25.6239 | − | 5.49057i | 1.40629 | − | 0.301334i | ||||
\(333\) | −18.4624 | −1.01173 | ||||||||
\(334\) | −14.9641 | + | 1.58522i | −0.818797 | + | 0.0867394i | ||||
\(335\) | 0.473021 | + | 1.92704i | 0.0258439 | + | 0.105285i | ||||
\(336\) | 8.88157 | + | 3.37585i | 0.484529 | + | 0.184168i | ||||
\(337\) | −7.26088 | + | 7.26088i | −0.395525 | + | 0.395525i | −0.876651 | − | 0.481126i | \(-0.840228\pi\) |
0.481126 | + | 0.876651i | \(0.340228\pi\) | |||||||
\(338\) | −25.9753 | − | 20.9991i | −1.41287 | − | 1.14220i | ||||
\(339\) | −30.9599 | + | 30.9599i | −1.68151 | + | 1.68151i | ||||
\(340\) | 8.44566 | − | 24.3698i | 0.458030 | − | 1.32164i | ||||
\(341\) | 3.71837 | + | 3.71837i | 0.201361 | + | 0.201361i | ||||
\(342\) | −12.5380 | + | 1.32822i | −0.677980 | + | 0.0718220i | ||||
\(343\) | 0.707107 | + | 0.707107i | 0.0381802 | + | 0.0381802i | ||||
\(344\) | −1.13858 | + | 2.24827i | −0.0613880 | + | 0.121219i | ||||
\(345\) | 18.2324 | + | 11.0457i | 0.981600 | + | 0.594678i | ||||
\(346\) | 26.1387 | + | 21.1312i | 1.40523 | + | 1.13602i | ||||
\(347\) | − | 6.84211i | − | 0.367304i | −0.982991 | − | 0.183652i | \(-0.941208\pi\) | ||
0.982991 | − | 0.183652i | \(-0.0587919\pi\) | |||||||
\(348\) | 6.41000 | + | 4.14774i | 0.343612 | + | 0.222342i | ||||
\(349\) | 6.65746 | + | 6.65746i | 0.356366 | + | 0.356366i | 0.862472 | − | 0.506106i | \(-0.168915\pi\) |
−0.506106 | + | 0.862472i | \(0.668915\pi\) | |||||||
\(350\) | −5.88759 | + | 3.91615i | −0.314705 | + | 0.209327i | ||||
\(351\) | 5.14003i | 0.274354i | ||||||||
\(352\) | 4.75330 | − | 2.77043i | 0.253352 | − | 0.147664i | ||||
\(353\) | −7.85475 | − | 7.85475i | −0.418066 | − | 0.418066i | 0.466471 | − | 0.884537i | \(-0.345525\pi\) |
−0.884537 | + | 0.466471i | \(0.845525\pi\) | |||||||
\(354\) | −22.7740 | + | 2.41257i | −1.21042 | + | 0.128227i | ||||
\(355\) | −7.65444 | − | 31.1834i | −0.406255 | − | 1.65504i | ||||
\(356\) | 0.629071 | + | 2.93581i | 0.0333407 | + | 0.155598i | ||||
\(357\) | −13.6993 | −0.725046 | ||||||||
\(358\) | 29.9853 | − | 3.17650i | 1.58477 | − | 0.167883i | ||||
\(359\) | − | 13.1496i | − | 0.694008i | −0.937864 | − | 0.347004i | \(-0.887199\pi\) | ||
0.937864 | − | 0.347004i | \(-0.112801\pi\) | |||||||
\(360\) | 16.2793 | + | 3.77852i | 0.857996 | + | 0.199145i | ||||
\(361\) | 7.61652i | 0.400869i | ||||||||
\(362\) | 3.66458 | + | 34.5927i | 0.192606 | + | 1.81815i | ||||
\(363\) | −23.8822 | −1.25349 | ||||||||
\(364\) | −10.1610 | − | 6.57489i | −0.532580 | − | 0.344618i | ||||
\(365\) | −20.4177 | − | 12.3695i | −1.06871 | − | 0.647451i | ||||
\(366\) | −0.941471 | − | 8.88723i | −0.0492115 | − | 0.464543i | ||||
\(367\) | 2.92500 | + | 2.92500i | 0.152684 | + | 0.152684i | 0.779316 | − | 0.626632i | \(-0.215567\pi\) |
−0.626632 | + | 0.779316i | \(0.715567\pi\) | |||||||
\(368\) | −15.0062 | − | 5.70382i | −0.782254 | − | 0.297332i | ||||
\(369\) | − | 14.2916i | − | 0.743993i | ||||||
\(370\) | −9.39401 | + | 19.9982i | −0.488371 | + | 1.03966i | ||||
\(371\) | −5.34564 | − | 5.34564i | −0.277532 | − | 0.277532i | ||||
\(372\) | −5.38182 | − | 25.1164i | −0.279034 | − | 1.30222i | ||||
\(373\) | 18.9965i | 0.983600i | 0.870708 | + | 0.491800i | \(0.163661\pi\) | ||||
−0.870708 | + | 0.491800i | \(0.836339\pi\) | |||||||
\(374\) | −4.98698 | + | 6.16877i | −0.257871 | + | 0.318980i | ||||
\(375\) | −19.9289 | + | 17.5539i | −1.02913 | + | 0.906479i | ||||
\(376\) | 14.7282 | − | 4.82565i | 0.759547 | − | 0.248864i | ||||
\(377\) | −6.87666 | − | 6.87666i | −0.354166 | − | 0.354166i | ||||
\(378\) | 0.126545 | + | 1.19455i | 0.00650880 | + | 0.0614413i | ||||
\(379\) | −0.317238 | − | 0.317238i | −0.0162954 | − | 0.0162954i | 0.698912 | − | 0.715208i | \(-0.253668\pi\) |
−0.715208 | + | 0.698912i | \(0.753668\pi\) | |||||||
\(380\) | −4.94088 | + | 14.2568i | −0.253462 | + | 0.731360i | ||||
\(381\) | −3.17900 | + | 3.17900i | −0.162865 | + | 0.162865i | ||||
\(382\) | 10.6194 | − | 13.1359i | 0.543336 | − | 0.672093i | ||||
\(383\) | −9.84614 | + | 9.84614i | −0.503114 | + | 0.503114i | −0.912404 | − | 0.409290i | \(-0.865776\pi\) |
0.409290 | + | 0.912404i | \(0.365776\pi\) | |||||||
\(384\) | −26.8451 | − | 1.25207i | −1.36993 | − | 0.0638944i | ||||
\(385\) | 2.11205 | − | 0.518436i | 0.107640 | − | 0.0264220i | ||||
\(386\) | 0.621378 | + | 5.86564i | 0.0316273 | + | 0.298553i | ||||
\(387\) | 2.35440 | 0.119681 | ||||||||
\(388\) | −21.3666 | − | 13.8257i | −1.08472 | − | 0.701895i | ||||
\(389\) | 27.4925 | − | 27.4925i | 1.39392 | − | 1.39392i | 0.577609 | − | 0.816314i | \(-0.303986\pi\) |
0.816314 | − | 0.577609i | \(-0.196014\pi\) | |||||||
\(390\) | −41.1421 | − | 19.3262i | −2.08331 | − | 0.978620i | ||||
\(391\) | 23.1463 | 1.17056 | ||||||||
\(392\) | −2.52331 | − | 1.27786i | −0.127446 | − | 0.0645417i | ||||
\(393\) | 9.14544 | − | 9.14544i | 0.461327 | − | 0.461327i | ||||
\(394\) | 3.37090 | + | 2.72512i | 0.169823 | + | 0.137289i | ||||
\(395\) | −3.03041 | − | 12.3456i | −0.152477 | − | 0.621173i | ||||
\(396\) | −4.31529 | − | 2.79231i | −0.216851 | − | 0.140319i | ||||
\(397\) | 28.9497i | 1.45294i | 0.687197 | + | 0.726471i | \(0.258841\pi\) | ||||
−0.687197 | + | 0.726471i | \(0.741159\pi\) | |||||||
\(398\) | −20.9060 | + | 25.8602i | −1.04792 | + | 1.29625i | ||||
\(399\) | 8.01438 | 0.401221 | ||||||||
\(400\) | 12.3760 | − | 15.7109i | 0.618802 | − | 0.785547i | ||||
\(401\) | −26.5646 | −1.32657 | −0.663287 | − | 0.748365i | \(-0.730839\pi\) | ||||
−0.663287 | + | 0.748365i | \(0.730839\pi\) | |||||||
\(402\) | −1.87408 | + | 2.31819i | −0.0934705 | + | 0.115621i | ||||
\(403\) | 32.7185i | 1.62983i | ||||||||
\(404\) | 14.7050 | − | 22.7254i | 0.731599 | − | 1.13063i | ||||
\(405\) | 5.30116 | + | 21.5963i | 0.263417 | + | 1.07313i | ||||
\(406\) | −1.76745 | − | 1.42885i | −0.0877173 | − | 0.0709127i | ||||
\(407\) | 4.80505 | − | 4.80505i | 0.238178 | − | 0.238178i | ||||
\(408\) | 36.8215 | − | 12.0645i | 1.82294 | − | 0.597281i | ||||
\(409\) | 21.2762 | 1.05204 | 0.526021 | − | 0.850472i | \(-0.323683\pi\) | ||||
0.526021 | + | 0.850472i | \(0.323683\pi\) | |||||||
\(410\) | −15.4805 | − | 7.27184i | −0.764526 | − | 0.359131i | ||||
\(411\) | 11.3942 | − | 11.3942i | 0.562032 | − | 0.562032i | ||||
\(412\) | 2.22703 | − | 3.44170i | 0.109718 | − | 0.169560i | ||||
\(413\) | 6.81734 | 0.335459 | ||||||||
\(414\) | 1.57997 | + | 14.9144i | 0.0776511 | + | 0.733005i | ||||
\(415\) | −28.4540 | + | 6.98447i | −1.39675 | + | 0.342854i | ||||
\(416\) | 33.1012 | + | 8.72381i | 1.62292 | + | 0.427720i | ||||
\(417\) | 33.7128 | − | 33.7128i | 1.65092 | − | 1.65092i | ||||
\(418\) | 2.91748 | − | 3.60885i | 0.142699 | − | 0.176515i | ||||
\(419\) | 11.9419 | − | 11.9419i | 0.583402 | − | 0.583402i | −0.352435 | − | 0.935836i | \(-0.614646\pi\) |
0.935836 | + | 0.352435i | \(0.114646\pi\) | |||||||
\(420\) | −10.0373 | − | 3.47855i | −0.489771 | − | 0.169736i | ||||
\(421\) | −10.7729 | − | 10.7729i | −0.525039 | − | 0.525039i | 0.394050 | − | 0.919089i | \(-0.371074\pi\) |
−0.919089 | + | 0.394050i | \(0.871074\pi\) | |||||||
\(422\) | 0.735556 | + | 6.94344i | 0.0358063 | + | 0.338002i | ||||
\(423\) | −10.2384 | − | 10.2384i | −0.497808 | − | 0.497808i | ||||
\(424\) | 19.0759 | + | 9.66047i | 0.926406 | + | 0.469154i | ||||
\(425\) | −8.63139 | + | 27.5140i | −0.418684 | + | 1.33463i | ||||
\(426\) | 30.3264 | − | 37.5130i | 1.46932 | − | 1.81751i | ||||
\(427\) | 2.66037i | 0.128744i | ||||||||
\(428\) | 30.0090 | − | 6.43018i | 1.45054 | − | 0.310814i | ||||
\(429\) | 9.88538 | + | 9.88538i | 0.477271 | + | 0.477271i | ||||
\(430\) | 1.19796 | − | 2.55024i | 0.0577707 | − | 0.122984i | ||||
\(431\) | − | 33.2454i | − | 1.60137i | −0.599083 | − | 0.800687i | \(-0.704468\pi\) | ||
0.599083 | − | 0.800687i | \(-0.295532\pi\) | |||||||
\(432\) | −1.39213 | − | 3.09932i | −0.0669790 | − | 0.149116i | ||||
\(433\) | 16.9146 | + | 16.9146i | 0.812862 | + | 0.812862i | 0.985062 | − | 0.172200i | \(-0.0550875\pi\) |
−0.172200 | + | 0.985062i | \(0.555087\pi\) | |||||||
\(434\) | 0.805518 | + | 7.60387i | 0.0386661 | + | 0.364997i | ||||
\(435\) | −7.30081 | − | 4.42301i | −0.350047 | − | 0.212067i | ||||
\(436\) | −15.7307 | + | 24.3106i | −0.753364 | + | 1.16426i | ||||
\(437\) | −13.5411 | −0.647756 | ||||||||
\(438\) | −3.77810 | − | 35.6643i | −0.180525 | − | 1.70410i | ||||
\(439\) | 27.0959i | 1.29322i | 0.762822 | + | 0.646609i | \(0.223813\pi\) | ||||
−0.762822 | + | 0.646609i | \(0.776187\pi\) | |||||||
\(440\) | −5.22028 | + | 3.25348i | −0.248867 | + | 0.155103i | ||||
\(441\) | 2.64241i | 0.125829i | ||||||||
\(442\) | −49.0806 | + | 5.19937i | −2.33453 | + | 0.247309i | ||||
\(443\) | −32.4500 | −1.54175 | −0.770874 | − | 0.636987i | \(-0.780180\pi\) | ||||
−0.770874 | + | 0.636987i | \(0.780180\pi\) | |||||||
\(444\) | −32.4566 | + | 6.95464i | −1.54032 | + | 0.330052i | ||||
\(445\) | −0.800233 | − | 3.26006i | −0.0379347 | − | 0.154542i | ||||
\(446\) | 1.16352 | − | 0.123258i | 0.0550943 | − | 0.00583643i | ||||
\(447\) | 3.51611 | + | 3.51611i | 0.166306 | + | 0.166306i | ||||
\(448\) | 7.90758 | + | 1.21250i | 0.373598 | + | 0.0572851i | ||||
\(449\) | − | 11.4827i | − | 0.541901i | −0.962593 | − | 0.270951i | \(-0.912662\pi\) | ||
0.962593 | − | 0.270951i | \(-0.0873380\pi\) | |||||||
\(450\) | −18.3180 | − | 3.68357i | −0.863518 | − | 0.173645i | ||||
\(451\) | 3.71956 | + | 3.71956i | 0.175147 | + | 0.175147i | ||||
\(452\) | −20.0272 | + | 30.9504i | −0.942000 | + | 1.45579i | ||||
\(453\) | − | 8.34315i | − | 0.391995i | ||||||
\(454\) | −13.9766 | − | 11.2990i | −0.655953 | − | 0.530288i | ||||
\(455\) | 11.5731 | + | 7.01125i | 0.542553 | + | 0.328692i | ||||
\(456\) | −21.5413 | + | 7.05796i | −1.00876 | + | 0.330519i | ||||
\(457\) | −7.83252 | − | 7.83252i | −0.366390 | − | 0.366390i | 0.499769 | − | 0.866159i | \(-0.333418\pi\) |
−0.866159 | + | 0.499769i | \(0.833418\pi\) | |||||||
\(458\) | −21.9413 | + | 2.32436i | −1.02525 | + | 0.108610i | ||||
\(459\) | 3.46391 | + | 3.46391i | 0.161681 | + | 0.161681i | ||||
\(460\) | 16.9590 | + | 5.87734i | 0.790718 | + | 0.274033i | ||||
\(461\) | 12.0472 | − | 12.0472i | 0.561096 | − | 0.561096i | −0.368523 | − | 0.929619i | \(-0.620136\pi\) |
0.929619 | + | 0.368523i | \(0.120136\pi\) | |||||||
\(462\) | 2.54076 | + | 2.05401i | 0.118207 | + | 0.0955613i | ||||
\(463\) | −14.2822 | + | 14.2822i | −0.663751 | + | 0.663751i | −0.956262 | − | 0.292511i | \(-0.905509\pi\) |
0.292511 | + | 0.956262i | \(0.405509\pi\) | |||||||
\(464\) | 6.00895 | + | 2.28398i | 0.278959 | + | 0.106031i | ||||
\(465\) | 6.84614 | + | 27.8904i | 0.317482 | + | 1.29339i | ||||
\(466\) | −0.349230 | + | 0.0369958i | −0.0161778 | + | 0.00171380i | ||||
\(467\) | −38.2989 | −1.77226 | −0.886131 | − | 0.463435i | \(-0.846617\pi\) | ||||
−0.886131 | + | 0.463435i | \(0.846617\pi\) | |||||||
\(468\) | −6.70048 | − | 31.2704i | −0.309730 | − | 1.44548i | ||||
\(469\) | 0.627473 | − | 0.627473i | 0.0289740 | − | 0.0289740i | ||||
\(470\) | −16.2996 | + | 5.88059i | −0.751843 | + | 0.271252i | ||||
\(471\) | 31.1521 | 1.43541 | ||||||||
\(472\) | −18.3239 | + | 6.00377i | −0.843424 | + | 0.276346i | ||||
\(473\) | −0.612758 | + | 0.612758i | −0.0281746 | + | 0.0281746i | ||||
\(474\) | 12.0063 | − | 14.8515i | 0.551468 | − | 0.682151i | ||||
\(475\) | 5.04953 | − | 16.0963i | 0.231688 | − | 0.738547i | ||||
\(476\) | −11.2784 | + | 2.41669i | −0.516947 | + | 0.110769i | ||||
\(477\) | − | 19.9763i | − | 0.914652i | ||||||
\(478\) | −20.9303 | − | 16.9206i | −0.957330 | − | 0.773929i | ||||
\(479\) | −3.87202 | −0.176917 | −0.0884586 | − | 0.996080i | \(-0.528194\pi\) | ||||
−0.0884586 | + | 0.996080i | \(0.528194\pi\) | |||||||
\(480\) | 30.0421 | + | 0.510274i | 1.37123 | + | 0.0232907i | ||||
\(481\) | 42.2804 | 1.92782 | ||||||||
\(482\) | 23.9520 | + | 19.3634i | 1.09098 | + | 0.881978i | ||||
\(483\) | − | 9.53339i | − | 0.433784i | ||||||
\(484\) | −19.6619 | + | 4.21305i | −0.893721 | + | 0.191502i | ||||
\(485\) | 24.3359 | + | 14.7433i | 1.10504 | + | 0.669459i | ||||
\(486\) | −18.7373 | + | 23.1775i | −0.849939 | + | 1.05135i | ||||
\(487\) | 7.57181 | − | 7.57181i | 0.343112 | − | 0.343112i | −0.514424 | − | 0.857536i | \(-0.671994\pi\) |
0.857536 | + | 0.514424i | \(0.171994\pi\) | |||||||
\(488\) | −2.34289 | − | 7.15063i | −0.106058 | − | 0.323694i | ||||
\(489\) | −29.7502 | −1.34535 | ||||||||
\(490\) | 2.86222 | + | 1.34451i | 0.129302 | + | 0.0607386i | ||||
\(491\) | 12.8182 | − | 12.8182i | 0.578477 | − | 0.578477i | −0.356006 | − | 0.934484i | \(-0.615862\pi\) |
0.934484 | + | 0.356006i | \(0.115862\pi\) | |||||||
\(492\) | −5.38353 | − | 25.1244i | −0.242708 | − | 1.13270i | ||||
\(493\) | −9.26849 | −0.417432 | ||||||||
\(494\) | 28.7131 | − | 3.04173i | 1.29186 | − | 0.136854i | ||||
\(495\) | 4.91499 | + | 2.97762i | 0.220912 | + | 0.133834i | ||||
\(496\) | −8.86153 | − | 19.7285i | −0.397894 | − | 0.885836i | ||||
\(497\) | −10.1538 | + | 10.1538i | −0.455459 | + | 0.455459i | ||||
\(498\) | −34.2296 | − | 27.6720i | −1.53387 | − | 1.24001i | ||||
\(499\) | −7.77963 | + | 7.77963i | −0.348264 | + | 0.348264i | −0.859463 | − | 0.511199i | \(-0.829202\pi\) |
0.511199 | + | 0.859463i | \(0.329202\pi\) | |||||||
\(500\) | −13.3105 | + | 17.9675i | −0.595264 | + | 0.803530i | ||||
\(501\) | 17.8721 | + | 17.8721i | 0.798465 | + | 0.798465i | ||||
\(502\) | 9.44085 | − | 1.00012i | 0.421366 | − | 0.0446375i | ||||
\(503\) | −12.4545 | − | 12.4545i | −0.555320 | − | 0.555320i | 0.372652 | − | 0.927971i | \(-0.378449\pi\) |
−0.927971 | + | 0.372652i | \(0.878449\pi\) | |||||||
\(504\) | −2.32707 | − | 7.10236i | −0.103656 | − | 0.316364i | ||||
\(505\) | −15.6809 | + | 25.8835i | −0.697791 | + | 1.15180i | ||||
\(506\) | −4.29285 | − | 3.47045i | −0.190841 | − | 0.154280i | ||||
\(507\) | 56.1031i | 2.49163i | ||||||||
\(508\) | −2.05641 | + | 3.17802i | −0.0912385 | + | 0.141002i | ||||
\(509\) | −3.71209 | − | 3.71209i | −0.164535 | − | 0.164535i | 0.620037 | − | 0.784572i | \(-0.287118\pi\) |
−0.784572 | + | 0.620037i | \(0.787118\pi\) | |||||||
\(510\) | −40.7501 | + | 14.7019i | −1.80445 | + | 0.651012i | ||||
\(511\) | 10.6760i | 0.472279i | ||||||||
\(512\) | −22.3220 | + | 3.70492i | −0.986504 | + | 0.163736i | ||||
\(513\) | −2.02646 | − | 2.02646i | −0.0894702 | − | 0.0894702i | ||||
\(514\) | −15.7723 | + | 1.67085i | −0.695688 | + | 0.0736979i | ||||
\(515\) | −2.37483 | + | 3.91999i | −0.104648 | + | 0.172736i | ||||
\(516\) | 4.13898 | − | 0.886880i | 0.182208 | − | 0.0390427i | ||||
\(517\) | 5.32932 | 0.234383 | ||||||||
\(518\) | 9.82607 | − | 1.04093i | 0.431733 | − | 0.0457357i | ||||
\(519\) | − | 56.4561i | − | 2.47815i | ||||||
\(520\) | −37.2809 | − | 8.65310i | −1.63488 | − | 0.379464i | ||||
\(521\) | 12.7618i | 0.559103i | 0.960131 | + | 0.279551i | \(0.0901857\pi\) | ||||
−0.960131 | + | 0.279551i | \(0.909814\pi\) | |||||||
\(522\) | −0.632666 | − | 5.97219i | −0.0276910 | − | 0.261396i | ||||
\(523\) | 16.9371 | 0.740610 | 0.370305 | − | 0.928910i | \(-0.379253\pi\) | ||||
0.370305 | + | 0.928910i | \(0.379253\pi\) | |||||||
\(524\) | 5.91595 | − | 9.14264i | 0.258440 | − | 0.399398i | ||||
\(525\) | 11.3323 | + | 3.55505i | 0.494584 | + | 0.155155i | ||||
\(526\) | 2.50142 | + | 23.6127i | 0.109067 | + | 1.02956i | ||||
\(527\) | 22.0493 | + | 22.0493i | 0.960483 | + | 0.960483i | ||||
\(528\) | −8.63803 | − | 3.28329i | −0.375922 | − | 0.142887i | ||||
\(529\) | − | 6.89245i | − | 0.299672i | ||||||
\(530\) | −21.6380 | − | 10.1643i | −0.939895 | − | 0.441509i | ||||
\(531\) | 12.7380 | + | 12.7380i | 0.552781 | + | 0.552781i | ||||
\(532\) | 6.59811 | − | 1.41381i | 0.286064 | − | 0.0612965i | ||||
\(533\) | 32.7290i | 1.41765i | ||||||||
\(534\) | 3.17047 | − | 3.92179i | 0.137200 | − | 0.169713i | ||||
\(535\) | −33.3234 | + | 8.17974i | −1.44070 | + | 0.353641i | ||||
\(536\) | −1.13395 | + | 2.23913i | −0.0489791 | + | 0.0967157i | ||||
\(537\) | −35.8124 | − | 35.8124i | −1.54542 | − | 1.54542i | ||||
\(538\) | 0.820059 | + | 7.74113i | 0.0353553 | + | 0.333744i | ||||
\(539\) | −0.687717 | − | 0.687717i | −0.0296221 | − | 0.0296221i | ||||
\(540\) | 1.65840 | + | 3.41752i | 0.0713662 | + | 0.147067i | ||||
\(541\) | 8.30783 | − | 8.30783i | 0.357182 | − | 0.357182i | −0.505591 | − | 0.862773i | \(-0.668726\pi\) |
0.862773 | + | 0.505591i | \(0.168726\pi\) | |||||||
\(542\) | 28.2106 | − | 34.8958i | 1.21175 | − | 1.49890i | ||||
\(543\) | 41.3152 | − | 41.3152i | 1.77300 | − | 1.77300i | ||||
\(544\) | 28.1863 | − | 16.4282i | 1.20848 | − | 0.704351i | ||||
\(545\) | 16.7747 | − | 27.6890i | 0.718550 | − | 1.18607i | ||||
\(546\) | 2.14149 | + | 20.2151i | 0.0916472 | + | 0.865125i | ||||
\(547\) | 5.57600 | 0.238413 | 0.119206 | − | 0.992870i | \(-0.461965\pi\) | ||||
0.119206 | + | 0.992870i | \(0.461965\pi\) | |||||||
\(548\) | 7.37059 | − | 11.3907i | 0.314856 | − | 0.486585i | ||||
\(549\) | −4.97082 | + | 4.97082i | −0.212149 | + | 0.212149i | ||||
\(550\) | 5.72615 | − | 3.80877i | 0.244164 | − | 0.162406i | ||||
\(551\) | 5.42225 | 0.230995 | ||||||||
\(552\) | 8.39569 | + | 25.6241i | 0.357344 | + | 1.09064i | ||||
\(553\) | −4.01991 | + | 4.01991i | −0.170944 | + | 0.170944i | ||||
\(554\) | 10.4609 | + | 8.45681i | 0.444439 | + | 0.359296i | ||||
\(555\) | 36.0413 | − | 8.84690i | 1.52987 | − | 0.375530i | ||||
\(556\) | 21.8080 | − | 33.7025i | 0.924864 | − | 1.42930i | ||||
\(557\) | 0.469590i | 0.0198972i | 0.999951 | + | 0.00994859i | \(0.00316679\pi\) | ||||
−0.999951 | + | 0.00994859i | \(0.996833\pi\) | |||||||
\(558\) | −12.7025 | + | 15.7127i | −0.537740 | + | 0.665170i | ||||
\(559\) | −5.39175 | −0.228047 | ||||||||
\(560\) | −8.87722 | − | 1.09316i | −0.375131 | − | 0.0461944i | ||||
\(561\) | 13.3237 | 0.562527 | ||||||||
\(562\) | 4.80994 | − | 5.94977i | 0.202895 | − | 0.250976i | ||||
\(563\) | 23.1326i | 0.974922i | 0.873145 | + | 0.487461i | \(0.162077\pi\) | ||||
−0.873145 | + | 0.487461i | \(0.837923\pi\) | |||||||
\(564\) | −21.8556 | − | 14.1422i | −0.920288 | − | 0.595494i | ||||
\(565\) | 21.3564 | − | 35.2517i | 0.898469 | − | 1.48305i | ||||
\(566\) | −25.4724 | − | 20.5925i | −1.07069 | − | 0.865568i | ||||
\(567\) | 7.03210 | − | 7.03210i | 0.295320 | − | 0.295320i | ||||
\(568\) | 18.3496 | − | 36.2337i | 0.769932 | − | 1.52033i | ||||
\(569\) | 2.97599 | 0.124760 | 0.0623800 | − | 0.998052i | \(-0.480131\pi\) | ||||
0.0623800 | + | 0.998052i | \(0.480131\pi\) | |||||||
\(570\) | 23.8396 | − | 8.60091i | 0.998532 | − | 0.360253i | ||||
\(571\) | −26.5433 | + | 26.5433i | −1.11080 | + | 1.11080i | −0.117758 | + | 0.993042i | \(0.537571\pi\) |
−0.993042 | + | 0.117758i | \(0.962429\pi\) | |||||||
\(572\) | 9.88235 | + | 6.39460i | 0.413202 | + | 0.267372i | ||||
\(573\) | −28.3718 | −1.18525 | ||||||||
\(574\) | 0.805774 | + | 7.60629i | 0.0336324 | + | 0.317480i | ||||
\(575\) | −19.1471 | − | 6.00660i | −0.798487 | − | 0.250492i | ||||
\(576\) | 12.5096 | + | 17.0406i | 0.521231 | + | 0.710024i | ||||
\(577\) | −24.4050 | + | 24.4050i | −1.01599 | + | 1.01599i | −0.0161238 | + | 0.999870i | \(0.505133\pi\) |
−0.999870 | + | 0.0161238i | \(0.994867\pi\) | |||||||
\(578\) | −14.4574 | + | 17.8835i | −0.601350 | + | 0.743855i | ||||
\(579\) | 7.00554 | − | 7.00554i | 0.291140 | − | 0.291140i | ||||
\(580\) | −6.79090 | − | 2.35347i | −0.281977 | − | 0.0977224i | ||||
\(581\) | 9.26506 | + | 9.26506i | 0.384379 | + | 0.384379i | ||||
\(582\) | 4.50314 | + | 42.5084i | 0.186661 | + | 1.76203i | ||||
\(583\) | 5.19905 | + | 5.19905i | 0.215323 | + | 0.215323i | ||||
\(584\) | −9.40196 | − | 28.6953i | −0.389056 | − | 1.18742i | ||||
\(585\) | 8.52358 | + | 34.7242i | 0.352407 | + | 1.43567i | ||||
\(586\) | 18.7455 | − | 23.1877i | 0.774369 | − | 0.957874i | ||||
\(587\) | 1.84258i | 0.0760514i | 0.999277 | + | 0.0380257i | \(0.0121069\pi\) | ||||
−0.999277 | + | 0.0380257i | \(0.987893\pi\) | |||||||
\(588\) | 0.995374 | + | 4.64531i | 0.0410485 | + | 0.191569i | ||||
\(589\) | −12.8993 | − | 12.8993i | −0.531505 | − | 0.531505i | ||||
\(590\) | 20.2789 | − | 7.31626i | 0.834869 | − | 0.301206i | ||||
\(591\) | − | 7.28068i | − | 0.299487i | ||||||
\(592\) | −25.4941 | + | 11.4513i | −1.04780 | + | 0.470645i | ||||
\(593\) | −21.1030 | − | 21.1030i | −0.866597 | − | 0.866597i | 0.125497 | − | 0.992094i | \(-0.459948\pi\) |
−0.992094 | + | 0.125497i | \(0.959948\pi\) | |||||||
\(594\) | −0.123076 | − | 1.16180i | −0.00504985 | − | 0.0476692i | ||||
\(595\) | 12.5241 | − | 3.07424i | 0.513439 | − | 0.126032i | ||||
\(596\) | 3.51504 | + | 2.27448i | 0.143981 | + | 0.0931665i | ||||
\(597\) | 55.8545 | 2.28597 | ||||||||
\(598\) | −3.61825 | − | 34.1553i | −0.147961 | − | 1.39671i | ||||
\(599\) | − | 13.4830i | − | 0.550902i | −0.961315 | − | 0.275451i | \(-0.911173\pi\) | ||
0.961315 | − | 0.275451i | \(-0.0888272\pi\) | |||||||
\(600\) | −33.5902 | + | 0.424580i | −1.37131 | + | 0.0173334i | ||||
\(601\) | − | 12.3353i | − | 0.503168i | −0.967835 | − | 0.251584i | \(-0.919048\pi\) | ||
0.967835 | − | 0.251584i | \(-0.0809515\pi\) | |||||||
\(602\) | −1.25306 | + | 0.132743i | −0.0510707 | + | 0.00541019i | ||||
\(603\) | 2.34482 | 0.0954886 | ||||||||
\(604\) | −1.47181 | − | 6.86878i | −0.0598871 | − | 0.279487i | ||||
\(605\) | 21.8335 | − | 5.35936i | 0.887657 | − | 0.217889i | ||||
\(606\) | −45.2117 | + | 4.78951i | −1.83660 | + | 0.194561i | ||||
\(607\) | −24.7714 | − | 24.7714i | −1.00544 | − | 1.00544i | −0.999985 | − | 0.00545670i | \(-0.998263\pi\) |
−0.00545670 | − | 0.999985i | \(-0.501737\pi\) | |||||||
\(608\) | −16.4895 | + | 9.61079i | −0.668738 | + | 0.389769i | ||||
\(609\) | 3.81746i | 0.154691i | ||||||||
\(610\) | 2.85507 | + | 7.91355i | 0.115598 | + | 0.320410i | ||||
\(611\) | 23.4468 | + | 23.4468i | 0.948554 | + | 0.948554i | ||||
\(612\) | −25.5889 | − | 16.5579i | −1.03437 | − | 0.669314i | ||||
\(613\) | 5.69015i | 0.229823i | 0.993376 | + | 0.114912i | \(0.0366585\pi\) | ||||
−0.993376 | + | 0.114912i | \(0.963342\pi\) | |||||||
\(614\) | 15.2260 | + | 12.3091i | 0.614471 | + | 0.496753i | ||||
\(615\) | 6.84832 | + | 27.8993i | 0.276151 | + | 1.12501i | ||||
\(616\) | 2.45411 | + | 1.24282i | 0.0988791 | + | 0.0500747i | ||||
\(617\) | −8.01452 | − | 8.01452i | −0.322652 | − | 0.322652i | 0.527131 | − | 0.849784i | \(-0.323268\pi\) |
−0.849784 | + | 0.527131i | \(0.823268\pi\) | |||||||
\(618\) | −6.84719 | + | 0.725359i | −0.275434 | + | 0.0291782i | ||||
\(619\) | −28.4303 | − | 28.4303i | −1.14271 | − | 1.14271i | −0.987952 | − | 0.154759i | \(-0.950540\pi\) |
−0.154759 | − | 0.987952i | \(-0.549460\pi\) | |||||||
\(620\) | 10.5564 | + | 21.7540i | 0.423957 | + | 0.873663i | ||||
\(621\) | −2.41054 | + | 2.41054i | −0.0967316 | + | 0.0967316i | ||||
\(622\) | 28.5305 | + | 23.0647i | 1.14397 | + | 0.924812i | ||||
\(623\) | −1.06153 | + | 1.06153i | −0.0425292 | + | 0.0425292i | ||||
\(624\) | −23.5586 | − | 52.4487i | −0.943099 | − | 2.09963i | ||||
\(625\) | 14.2801 | − | 20.5202i | 0.571203 | − | 0.820809i | ||||
\(626\) | −30.8600 | + | 3.26916i | −1.23341 | + | 0.130662i | ||||
\(627\) | −7.79462 | −0.311287 | ||||||||
\(628\) | 25.6470 | − | 5.49552i | 1.02343 | − | 0.219295i | ||||
\(629\) | 28.4931 | − | 28.4931i | 1.13610 | − | 1.13610i | ||||
\(630\) | 2.83580 | + | 7.86013i | 0.112981 | + | 0.313155i | ||||
\(631\) | −15.1390 | −0.602672 | −0.301336 | − | 0.953518i | \(-0.597433\pi\) | ||||
−0.301336 | + | 0.953518i | \(0.597433\pi\) | |||||||
\(632\) | 7.26465 | − | 14.3450i | 0.288972 | − | 0.570614i | ||||
\(633\) | 8.29279 | − | 8.29279i | 0.329609 | − | 0.329609i | ||||
\(634\) | −12.6881 | + | 15.6949i | −0.503910 | + | 0.623324i | ||||
\(635\) | 2.19289 | − | 3.61967i | 0.0870222 | − | 0.143642i | ||||
\(636\) | −7.52490 | − | 35.1179i | −0.298382 | − | 1.39252i | ||||
\(637\) | − | 6.05133i | − | 0.239763i | ||||||
\(638\) | 1.71899 | + | 1.38967i | 0.0680554 | + | 0.0550176i | ||||
\(639\) | −37.9440 | −1.50104 | ||||||||
\(640\) | 24.8232 | − | 4.87960i | 0.981222 | − | 0.192883i | ||||
\(641\) | −19.9351 | −0.787390 | −0.393695 | − | 0.919241i | \(-0.628803\pi\) | ||||
−0.393695 | + | 0.919241i | \(0.628803\pi\) | |||||||
\(642\) | −40.0874 | − | 32.4076i | −1.58212 | − | 1.27903i | ||||
\(643\) | − | 36.8071i | − | 1.45153i | −0.687943 | − | 0.725764i | \(-0.741486\pi\) | ||
0.687943 | − | 0.725764i | \(-0.258514\pi\) | |||||||
\(644\) | −1.68178 | − | 7.84868i | −0.0662713 | − | 0.309281i | ||||
\(645\) | −4.59612 | + | 1.12819i | −0.180972 | + | 0.0444224i | ||||
\(646\) | 17.3002 | − | 21.3999i | 0.680666 | − | 0.841967i | ||||
\(647\) | 24.2753 | − | 24.2753i | 0.954362 | − | 0.954362i | −0.0446409 | − | 0.999003i | \(-0.514214\pi\) |
0.999003 | + | 0.0446409i | \(0.0142144\pi\) | |||||||
\(648\) | −12.7082 | + | 25.0940i | −0.499225 | + | 0.985786i | ||||
\(649\) | −6.63040 | −0.260266 | ||||||||
\(650\) | 41.9496 | + | 8.43567i | 1.64540 | + | 0.330874i | ||||
\(651\) | 9.08155 | − | 9.08155i | 0.355934 | − | 0.355934i | ||||
\(652\) | −24.4928 | + | 5.24821i | −0.959213 | + | 0.205536i | ||||
\(653\) | 35.7958 | 1.40080 | 0.700400 | − | 0.713751i | \(-0.253005\pi\) | ||||
0.700400 | + | 0.713751i | \(0.253005\pi\) | |||||||
\(654\) | 48.3654 | − | 5.12360i | 1.89124 | − | 0.200349i | ||||
\(655\) | −6.30858 | + | 10.4132i | −0.246497 | + | 0.406877i | ||||
\(656\) | −8.86435 | − | 19.7348i | −0.346095 | − | 0.770515i | ||||
\(657\) | −19.9478 | + | 19.9478i | −0.778237 | + | 0.778237i | ||||
\(658\) | 6.02633 | + | 4.87183i | 0.234931 | + | 0.189924i | ||||
\(659\) | 5.29572 | − | 5.29572i | 0.206292 | − | 0.206292i | −0.596397 | − | 0.802689i | \(-0.703402\pi\) |
0.802689 | + | 0.596397i | \(0.203402\pi\) | |||||||
\(660\) | 9.76209 | + | 3.38317i | 0.379989 | + | 0.131690i | ||||
\(661\) | 21.2538 | + | 21.2538i | 0.826678 | + | 0.826678i | 0.987056 | − | 0.160378i | \(-0.0512714\pi\) |
−0.160378 | + | 0.987056i | \(0.551271\pi\) | |||||||
\(662\) | 23.1128 | − | 2.44846i | 0.898304 | − | 0.0951621i | ||||
\(663\) | 58.6186 | + | 58.6186i | 2.27656 | + | 2.27656i | ||||
\(664\) | −33.0623 | − | 16.7435i | −1.28307 | − | 0.649775i | ||||
\(665\) | −7.32686 | + | 1.79849i | −0.284123 | + | 0.0697425i | ||||
\(666\) | 20.3046 | + | 16.4148i | 0.786788 | + | 0.636059i | ||||
\(667\) | − | 6.44995i | − | 0.249743i | ||||||
\(668\) | 17.8666 | + | 11.5610i | 0.691279 | + | 0.447308i | ||||
\(669\) | −1.38963 | − | 1.38963i | −0.0537263 | − | 0.0537263i | ||||
\(670\) | 1.19309 | − | 2.53988i | 0.0460930 | − | 0.0981240i | ||||
\(671\) | − | 2.58742i | − | 0.0998863i | ||||||
\(672\) | −6.76634 | − | 11.6092i | −0.261017 | − | 0.447835i | ||||
\(673\) | 23.1172 | + | 23.1172i | 0.891103 | + | 0.891103i | 0.994627 | − | 0.103524i | \(-0.0330117\pi\) |
−0.103524 | + | 0.994627i | \(0.533012\pi\) | |||||||
\(674\) | 14.4410 | − | 1.52981i | 0.556245 | − | 0.0589259i | ||||
\(675\) | −1.96651 | − | 3.76431i | −0.0756908 | − | 0.144888i | ||||
\(676\) | 9.89712 | + | 46.1888i | 0.380658 | + | 1.77649i | ||||
\(677\) | −33.0151 | −1.26887 | −0.634437 | − | 0.772974i | \(-0.718768\pi\) | ||||
−0.634437 | + | 0.772974i | \(0.718768\pi\) | |||||||
\(678\) | 61.5753 | − | 6.52300i | 2.36479 | − | 0.250514i | ||||
\(679\) | − | 12.7248i | − | 0.488333i | ||||||
\(680\) | −30.9554 | + | 19.2926i | −1.18708 | + | 0.739836i | ||||
\(681\) | 30.1875i | 1.15679i | ||||||||
\(682\) | −0.783430 | − | 7.39536i | −0.0299991 | − | 0.283183i | ||||
\(683\) | −35.3615 | −1.35307 | −0.676536 | − | 0.736410i | \(-0.736520\pi\) | ||||
−0.676536 | + | 0.736410i | \(0.736520\pi\) | |||||||
\(684\) | 14.9700 | + | 9.68670i | 0.572393 | + | 0.370380i | ||||
\(685\) | −7.85975 | + | 12.9736i | −0.300306 | + | 0.495697i | ||||
\(686\) | −0.148981 | − | 1.40634i | −0.00568814 | − | 0.0536945i | ||||
\(687\) | 26.2053 | + | 26.2053i | 0.999794 | + | 0.999794i | ||||
\(688\) | 3.25110 | − | 1.46031i | 0.123947 | − | 0.0556737i | ||||
\(689\) | 45.7473i | 1.74283i | ||||||||
\(690\) | −10.2311 | − | 28.3581i | −0.389491 | − | 1.07957i | ||||
\(691\) | −22.6208 | − | 22.6208i | −0.860537 | − | 0.860537i | 0.130864 | − | 0.991400i | \(-0.458225\pi\) |
−0.991400 | + | 0.130864i | \(0.958225\pi\) | |||||||
\(692\) | −9.95938 | − | 46.4794i | −0.378599 | − | 1.76688i | ||||
\(693\) | − | 2.56996i | − | 0.0976245i | ||||||
\(694\) | −6.08325 | + | 7.52483i | −0.230917 | + | 0.285639i | ||||
\(695\) | −23.2553 | + | 38.3862i | −0.882124 | + | 1.45607i | ||||
\(696\) | −3.36189 | − | 10.2607i | −0.127432 | − | 0.388930i | ||||
\(697\) | 22.0563 | + | 22.0563i | 0.835443 | + | 0.835443i | ||||
\(698\) | −1.40267 | − | 13.2408i | −0.0530919 | − | 0.501173i | ||||
\(699\) | 0.417097 | + | 0.417097i | 0.0157761 | + | 0.0157761i | ||||
\(700\) | 9.95688 | + | 0.927687i | 0.376335 | + | 0.0350633i | ||||
\(701\) | 5.34711 | − | 5.34711i | 0.201957 | − | 0.201957i | −0.598881 | − | 0.800838i | \(-0.704388\pi\) |
0.800838 | + | 0.598881i | \(0.204388\pi\) | |||||||
\(702\) | 4.56995 | − | 5.65291i | 0.172482 | − | 0.213355i | ||||
\(703\) | −16.6690 | + | 16.6690i | −0.628685 | + | 0.628685i | ||||
\(704\) | −7.69075 | − | 1.17925i | −0.289856 | − | 0.0444446i | ||||
\(705\) | 24.8929 | + | 15.0808i | 0.937522 | + | 0.567975i | ||||
\(706\) | 1.65493 | + | 15.6221i | 0.0622841 | + | 0.587945i | ||||
\(707\) | 13.5340 | 0.508999 | ||||||||
\(708\) | 27.1914 | + | 17.5948i | 1.02192 | + | 0.661254i | ||||
\(709\) | −35.3011 | + | 35.3011i | −1.32576 | + | 1.32576i | −0.416732 | + | 0.909029i | \(0.636825\pi\) |
−0.909029 | + | 0.416732i | \(0.863175\pi\) | |||||||
\(710\) | −19.3066 | + | 41.1004i | −0.724564 | + | 1.54247i | ||||
\(711\) | −15.0221 | −0.563374 | ||||||||
\(712\) | 1.91836 | − | 3.78805i | 0.0718935 | − | 0.141963i | ||||
\(713\) | −15.3441 | + | 15.3441i | −0.574643 | + | 0.574643i | ||||
\(714\) | 15.0663 | + | 12.1799i | 0.563841 | + | 0.455823i | ||||
\(715\) | −11.2557 | − | 6.81899i | −0.420940 | − | 0.255016i | ||||
\(716\) | −35.8014 | − | 23.1661i | −1.33796 | − | 0.865759i | ||||
\(717\) | 45.2066i | 1.68827i | ||||||||
\(718\) | −11.6912 | + | 14.4617i | −0.436310 | + | 0.539705i | ||||
\(719\) | −44.1493 | −1.64649 | −0.823245 | − | 0.567686i | \(-0.807839\pi\) | ||||
−0.823245 | + | 0.567686i | \(0.807839\pi\) | |||||||
\(720\) | −14.5443 | − | 18.6293i | −0.542033 | − | 0.694274i | ||||
\(721\) | 2.04969 | 0.0763345 | ||||||||
\(722\) | 6.77177 | − | 8.37651i | 0.252019 | − | 0.311741i | ||||
\(723\) | − | 51.7330i | − | 1.92397i | ||||||
\(724\) | 26.7258 | − | 41.3025i | 0.993255 | − | 1.53500i | ||||
\(725\) | 7.66706 | + | 2.40522i | 0.284747 | + | 0.0893277i | ||||
\(726\) | 26.2653 | + | 21.2335i | 0.974795 | + | 0.788048i | ||||
\(727\) | 5.76306 | − | 5.76306i | 0.213740 | − | 0.213740i | −0.592114 | − | 0.805854i | \(-0.701706\pi\) |
0.805854 | + | 0.592114i | \(0.201706\pi\) | |||||||
\(728\) | 5.32918 | + | 16.2650i | 0.197513 | + | 0.602819i | ||||
\(729\) | 20.2255 | 0.749094 | ||||||||
\(730\) | 11.4573 | + | 31.7569i | 0.424055 | + | 1.17538i | ||||
\(731\) | −3.63355 | + | 3.63355i | −0.134392 | + | 0.134392i | ||||
\(732\) | −6.86613 | + | 10.6111i | −0.253780 | + | 0.392196i | ||||
\(733\) | 37.3735 | 1.38042 | 0.690210 | − | 0.723609i | \(-0.257518\pi\) | ||||
0.690210 | + | 0.723609i | \(0.257518\pi\) | |||||||
\(734\) | −0.616273 | − | 5.81745i | −0.0227471 | − | 0.214726i | ||||
\(735\) | −1.26620 | − | 5.15837i | −0.0467046 | − | 0.190269i | ||||
\(736\) | 11.4324 | + | 19.6149i | 0.421403 | + | 0.723013i | ||||
\(737\) | −0.610267 | + | 0.610267i | −0.0224795 | + | 0.0224795i | ||||
\(738\) | −12.7065 | + | 15.7177i | −0.467734 | + | 0.578575i | ||||
\(739\) | −10.4981 | + | 10.4981i | −0.386180 | + | 0.386180i | −0.873323 | − | 0.487142i | \(-0.838039\pi\) |
0.487142 | + | 0.873323i | \(0.338039\pi\) | |||||||
\(740\) | 28.1116 | − | 13.6415i | 1.03340 | − | 0.501473i | ||||
\(741\) | −34.2930 | − | 34.2930i | −1.25979 | − | 1.25979i | ||||
\(742\) | 1.12628 | + | 10.6318i | 0.0413471 | + | 0.390305i | ||||
\(743\) | −2.49020 | − | 2.49020i | −0.0913564 | − | 0.0913564i | 0.659952 | − | 0.751308i | \(-0.270577\pi\) |
−0.751308 | + | 0.659952i | \(0.770577\pi\) | |||||||
\(744\) | −16.4119 | + | 32.4075i | −0.601689 | + | 1.18812i | ||||
\(745\) | −4.00352 | − | 2.42544i | −0.146678 | − | 0.0888611i | ||||
\(746\) | 16.8896 | − | 20.8920i | 0.618371 | − | 0.764909i | ||||
\(747\) | 34.6229i | 1.26679i | ||||||||
\(748\) | 10.9692 | − | 2.35042i | 0.401073 | − | 0.0859400i | ||||
\(749\) | 10.8506 | + | 10.8506i | 0.396473 | + | 0.396473i | ||||
\(750\) | 37.5245 | − | 1.58682i | 1.37020 | − | 0.0579423i | ||||
\(751\) | 13.1729i | 0.480685i | 0.970688 | + | 0.240343i | \(0.0772598\pi\) | ||||
−0.970688 | + | 0.240343i | \(0.922740\pi\) | |||||||
\(752\) | −20.4882 | − | 7.78750i | −0.747128 | − | 0.283981i | ||||
\(753\) | −11.2755 | − | 11.2755i | −0.410903 | − | 0.410903i | ||||
\(754\) | 1.44886 | + | 13.6768i | 0.0527642 | + | 0.498080i | ||||
\(755\) | 1.87227 | + | 7.62742i | 0.0681388 | + | 0.277590i | ||||
\(756\) | 0.922894 | − | 1.42626i | 0.0335653 | − | 0.0518726i | ||||
\(757\) | 36.0838 | 1.31149 | 0.655743 | − | 0.754984i | \(-0.272355\pi\) | ||||
0.655743 | + | 0.754984i | \(0.272355\pi\) | |||||||
\(758\) | 0.0668394 | + | 0.630945i | 0.00242771 | + | 0.0229170i | ||||
\(759\) | 9.27197i | 0.336551i | ||||||||
\(760\) | 18.1095 | − | 11.2865i | 0.656900 | − | 0.409405i | ||||
\(761\) | 22.3147i | 0.808908i | 0.914558 | + | 0.404454i | \(0.132538\pi\) | ||||
−0.914558 | + | 0.404454i | \(0.867462\pi\) | |||||||
\(762\) | 6.32262 | − | 0.669788i | 0.229044 | − | 0.0242639i | ||||
\(763\) | −14.4781 | −0.524142 | ||||||||
\(764\) | −23.3581 | + | 5.00505i | −0.845065 | + | 0.181076i | ||||
\(765\) | 29.1450 | + | 17.6568i | 1.05374 | + | 0.638383i | ||||
\(766\) | 19.5827 | − | 2.07450i | 0.707552 | − | 0.0749547i | ||||
\(767\) | −29.1710 | − | 29.1710i | −1.05330 | − | 1.05330i | ||||
\(768\) | 28.4106 | + | 25.2447i | 1.02518 | + | 0.910941i | ||||
\(769\) | 37.4991i | 1.35225i | 0.736786 | + | 0.676126i | \(0.236342\pi\) | ||||
−0.736786 | + | 0.676126i | \(0.763658\pi\) | |||||||
\(770\) | −2.78374 | − | 1.30764i | −0.100319 | − | 0.0471241i | ||||
\(771\) | 18.8374 | + | 18.8374i | 0.678414 | + | 0.678414i | ||||
\(772\) | 4.53170 | − | 7.00339i | 0.163100 | − | 0.252057i | ||||
\(773\) | − | 47.4421i | − | 1.70637i | −0.521607 | − | 0.853186i | \(-0.674667\pi\) | ||
0.521607 | − | 0.853186i | \(-0.325333\pi\) | |||||||
\(774\) | −2.58932 | − | 2.09327i | −0.0930712 | − | 0.0752410i | ||||
\(775\) | −12.5177 | − | 23.9615i | −0.449648 | − | 0.860722i | ||||
\(776\) | 11.2062 | + | 34.2021i | 0.402281 | + | 1.22778i | ||||
\(777\) | −11.7356 | − | 11.7356i | −0.421012 | − | 0.421012i | ||||
\(778\) | −54.6789 | + | 5.79243i | −1.96034 | + | 0.207669i | ||||
\(779\) | −12.9034 | − | 12.9034i | −0.462312 | − | 0.462312i | ||||
\(780\) | 28.0646 | + | 57.8336i | 1.00487 | + | 2.07078i | ||||
\(781\) | 9.87536 | − | 9.87536i | 0.353368 | − | 0.353368i | ||||
\(782\) | −25.4559 | − | 20.5792i | −0.910301 | − | 0.735909i | ||||
\(783\) | 0.965253 | − | 0.965253i | 0.0344953 | − | 0.0344953i | ||||
\(784\) | 1.63895 | + | 3.64881i | 0.0585340 | + | 0.130315i | ||||
\(785\) | −28.4797 | + | 6.99077i | −1.01648 | + | 0.249511i | ||||
\(786\) | −18.1891 | + | 1.92687i | −0.648784 | + | 0.0687291i | ||||
\(787\) | 21.6223 | 0.770752 | 0.385376 | − | 0.922760i | \(-0.374072\pi\) | ||||
0.385376 | + | 0.922760i | \(0.374072\pi\) | |||||||
\(788\) | −1.28438 | − | 5.99406i | −0.0457541 | − | 0.213530i | ||||
\(789\) | 28.2015 | − | 28.2015i | 1.00400 | − | 1.00400i | ||||
\(790\) | −7.64354 | + | 16.2717i | −0.271945 | + | 0.578923i | ||||
\(791\) | −18.4324 | −0.655382 | ||||||||
\(792\) | 2.26326 | + | 6.90761i | 0.0804215 | + | 0.245451i | ||||
\(793\) | 11.3836 | − | 11.3836i | 0.404242 | − | 0.404242i | ||||
\(794\) | 25.7389 | − | 31.8383i | 0.913438 | − | 1.12990i | ||||
\(795\) | 9.57232 | + | 38.9966i | 0.339495 | + | 1.38307i | ||||
\(796\) | 45.9841 | − | 9.85325i | 1.62986 | − | 0.349239i | ||||
\(797\) | − | 5.43553i | − | 0.192536i | −0.995355 | − | 0.0962682i | \(-0.969309\pi\) | ||
0.995355 | − | 0.0962682i | \(-0.0306907\pi\) | |||||||
\(798\) | −8.81407 | − | 7.12550i | −0.312015 | − | 0.252240i | ||||
\(799\) | 31.6020 | 1.11800 | ||||||||
\(800\) | −27.5794 | + | 6.27518i | −0.975078 | + | 0.221861i | ||||
\(801\) | −3.96686 | −0.140162 | ||||||||
\(802\) | 29.2153 | + | 23.6183i | 1.03163 | + | 0.833992i | ||||
\(803\) | − | 10.3833i | − | 0.366418i | ||||||
\(804\) | 4.12215 | − | 0.883275i | 0.145377 | − | 0.0311507i | ||||
\(805\) | 2.13937 | + | 8.71555i | 0.0754028 | + | 0.307183i | ||||
\(806\) | 29.0897 | − | 35.9832i | 1.02464 | − | 1.26746i | ||||
\(807\) | 9.24550 | − | 9.24550i | 0.325457 | − | 0.325457i | ||||
\(808\) | −36.3771 | + | 11.9189i | −1.27974 | + | 0.419305i | ||||
\(809\) | −37.6093 | −1.32227 | −0.661137 | − | 0.750265i | \(-0.729926\pi\) | ||||
−0.661137 | + | 0.750265i | \(0.729926\pi\) | |||||||
\(810\) | 13.3710 | − | 28.4645i | 0.469808 | − | 1.00014i | ||||
\(811\) | 12.6490 | − | 12.6490i | 0.444166 | − | 0.444166i | −0.449243 | − | 0.893409i | \(-0.648306\pi\) |
0.893409 | + | 0.449243i | \(0.148306\pi\) | |||||||
\(812\) | 0.673435 | + | 3.14285i | 0.0236329 | + | 0.110292i | ||||
\(813\) | −75.3702 | −2.64335 | ||||||||
\(814\) | −9.55663 | + | 1.01238i | −0.334960 | + | 0.0354840i | ||||
\(815\) | 27.1980 | − | 6.67617i | 0.952705 | − | 0.233856i | ||||
\(816\) | −51.2220 | − | 19.4693i | −1.79313 | − | 0.681563i | ||||
\(817\) | 2.12570 | − | 2.12570i | 0.0743687 | − | 0.0743687i | ||||
\(818\) | −23.3992 | − | 18.9165i | −0.818134 | − | 0.661399i | ||||
\(819\) | 11.3067 | − | 11.3067i | 0.395089 | − | 0.395089i | ||||
\(820\) | 10.5598 | + | 21.7610i | 0.368765 | + | 0.759926i | ||||
\(821\) | −18.6856 | − | 18.6856i | −0.652134 | − | 0.652134i | 0.301373 | − | 0.953506i | \(-0.402555\pi\) |
−0.953506 | + | 0.301373i | \(0.902555\pi\) | |||||||
\(822\) | −22.6615 | + | 2.40065i | −0.790411 | + | 0.0837324i | ||||
\(823\) | 21.4388 | + | 21.4388i | 0.747311 | + | 0.747311i | 0.973973 | − | 0.226662i | \(-0.0727814\pi\) |
−0.226662 | + | 0.973973i | \(0.572781\pi\) | |||||||
\(824\) | −5.50922 | + | 1.80509i | −0.191923 | + | 0.0628831i | ||||
\(825\) | −11.0216 | − | 3.45757i | −0.383723 | − | 0.120377i | ||||
\(826\) | −7.49758 | − | 6.06123i | −0.260874 | − | 0.210897i | ||||
\(827\) | 2.57326i | 0.0894810i | 0.998999 | + | 0.0447405i | \(0.0142461\pi\) | ||||
−0.998999 | + | 0.0447405i | \(0.985754\pi\) | |||||||
\(828\) | 11.5227 | − | 17.8074i | 0.400440 | − | 0.618849i | ||||
\(829\) | −13.4129 | − | 13.4129i | −0.465849 | − | 0.465849i | 0.434718 | − | 0.900567i | \(-0.356848\pi\) |
−0.900567 | + | 0.434718i | \(0.856848\pi\) | |||||||
\(830\) | 37.5030 | + | 17.6168i | 1.30175 | + | 0.611487i | ||||
\(831\) | − | 22.5940i | − | 0.783778i | ||||||
\(832\) | −28.6479 | − | 39.0243i | −0.993186 | − | 1.35292i | ||||
\(833\) | −4.07805 | − | 4.07805i | −0.141296 | − | 0.141296i | ||||
\(834\) | −67.0505 | + | 7.10301i | −2.32177 | + | 0.245957i | ||||
\(835\) | −20.3495 | − | 12.3283i | −0.704225 | − | 0.426637i | ||||
\(836\) | −6.41719 | + | 1.37504i | −0.221943 | + | 0.0475569i | ||||
\(837\) | −4.59258 | −0.158743 | ||||||||
\(838\) | −23.7510 | + | 2.51606i | −0.820463 | + | 0.0869160i | ||||
\(839\) | 50.9789i | 1.75999i | 0.474986 | + | 0.879993i | \(0.342453\pi\) | ||||
−0.474986 | + | 0.879993i | \(0.657547\pi\) | |||||||
\(840\) | 7.94612 | + | 12.7497i | 0.274167 | + | 0.439908i | ||||
\(841\) | − | 26.4172i | − | 0.910939i | ||||||
\(842\) | 2.26976 | + | 21.4259i | 0.0782210 | + | 0.738385i | ||||
\(843\) | −12.8507 | −0.442601 | ||||||||
\(844\) | 5.36439 | − | 8.29025i | 0.184650 | − | 0.285362i | ||||
\(845\) | −12.5900 | − | 51.2903i | −0.433109 | − | 1.76444i | ||||
\(846\) | 2.15715 | + | 20.3629i | 0.0741642 | + | 0.700090i | ||||
\(847\) | −7.10932 | − | 7.10932i | −0.244279 | − | 0.244279i | ||||
\(848\) | −12.3903 | − | 27.5846i | −0.425483 | − | 0.947258i | ||||
\(849\) | 55.0169i | 1.88818i | ||||||||
\(850\) | 33.9551 | − | 22.5853i | 1.16465 | − | 0.774671i | ||||
\(851\) | 19.8284 | + | 19.8284i | 0.679709 | + | 0.679709i | ||||
\(852\) | −66.7048 | + | 14.2932i | −2.28527 | + | 0.489677i | ||||
\(853\) | 3.66787i | 0.125585i | 0.998027 | + | 0.0627927i | \(0.0200007\pi\) | ||||
−0.998027 | + | 0.0627927i | \(0.979999\pi\) | |||||||
\(854\) | 2.36531 | − | 2.92583i | 0.0809392 | − | 0.100120i | ||||
\(855\) | −17.0504 | − | 10.3296i | −0.583112 | − | 0.353264i | ||||
\(856\) | −38.7203 | − | 19.6089i | −1.32343 | − | 0.670218i | ||||
\(857\) | −27.4350 | − | 27.4350i | −0.937162 | − | 0.937162i | 0.0609774 | − | 0.998139i | \(-0.480578\pi\) |
−0.998139 | + | 0.0609774i | \(0.980578\pi\) | |||||||
\(858\) | −2.08277 | − | 19.6608i | −0.0711045 | − | 0.671207i | ||||
\(859\) | −4.98573 | − | 4.98573i | −0.170111 | − | 0.170111i | 0.616917 | − | 0.787028i | \(-0.288381\pi\) |
−0.787028 | + | 0.616917i | \(0.788381\pi\) | |||||||
\(860\) | −3.58489 | + | 1.73962i | −0.122244 | + | 0.0593205i | ||||
\(861\) | 9.08445 | − | 9.08445i | 0.309597 | − | 0.309597i | ||||
\(862\) | −29.5581 | + | 36.5627i | −1.00675 | + | 1.24533i | ||||
\(863\) | 25.4596 | − | 25.4596i | 0.866653 | − | 0.866653i | −0.125447 | − | 0.992100i | \(-0.540037\pi\) |
0.992100 | + | 0.125447i | \(0.0400365\pi\) | |||||||
\(864\) | −1.22453 | + | 4.64630i | −0.0416594 | + | 0.158070i | ||||
\(865\) | 12.6692 | + | 51.6129i | 0.430765 | + | 1.75489i | ||||
\(866\) | −3.56376 | − | 33.6409i | −0.121101 | − | 1.14316i | ||||
\(867\) | 38.6258 | 1.31180 | ||||||||
\(868\) | 5.87463 | − | 9.07877i | 0.199398 | − | 0.308153i | ||||
\(869\) | 3.90968 | − | 3.90968i | 0.132627 | − | 0.132627i | ||||
\(870\) | 4.09684 | + | 11.3554i | 0.138896 | + | 0.384985i | ||||
\(871\) | −5.36983 | −0.181950 | ||||||||
\(872\) | 38.9146 | − | 12.7503i | 1.31782 | − | 0.431779i | ||||
\(873\) | 23.7759 | − | 23.7759i | 0.804691 | − | 0.804691i | ||||
\(874\) | 14.8922 | + | 12.0392i | 0.503736 | + | 0.407232i | ||||
\(875\) | −11.1580 | − | 0.707012i | −0.377208 | − | 0.0239014i | ||||
\(876\) | −27.5536 | + | 42.5820i | −0.930951 | + | 1.43871i | ||||
\(877\) | 25.7942i | 0.871008i | 0.900187 | + | 0.435504i | \(0.143430\pi\) | ||||
−0.900187 | + | 0.435504i | \(0.856570\pi\) | |||||||
\(878\) | 24.0907 | − | 29.7996i | 0.813022 | − | 1.00569i | ||||
\(879\) | −50.0822 | −1.68923 | ||||||||
\(880\) | 8.63380 | + | 1.06318i | 0.291045 | + | 0.0358399i | ||||
\(881\) | −40.4674 | −1.36338 | −0.681690 | − | 0.731641i | \(-0.738755\pi\) | ||||
−0.681690 | + | 0.731641i | \(0.738755\pi\) | |||||||
\(882\) | 2.34934 | − | 2.90608i | 0.0791065 | − | 0.0978527i | ||||
\(883\) | − | 11.0792i | − | 0.372845i | −0.982470 | − | 0.186423i | \(-0.940311\pi\) | ||
0.982470 | − | 0.186423i | \(-0.0596893\pi\) | |||||||
\(884\) | 58.6007 | + | 37.9189i | 1.97095 | + | 1.27535i | ||||
\(885\) | −30.9702 | − | 18.7625i | −1.04105 | − | 0.630696i | ||||
\(886\) | 35.6880 | + | 28.8510i | 1.19896 | + | 0.969269i | ||||
\(887\) | 6.91864 | − | 6.91864i | 0.232305 | − | 0.232305i | −0.581349 | − | 0.813654i | \(-0.697475\pi\) |
0.813654 | + | 0.581349i | \(0.197475\pi\) | |||||||
\(888\) | 41.8784 | + | 21.2082i | 1.40535 | + | 0.711701i | ||||
\(889\) | −1.89266 | −0.0634778 | ||||||||
\(890\) | −2.01841 | + | 4.29684i | −0.0676572 | + | 0.144030i | ||||
\(891\) | −6.83928 | + | 6.83928i | −0.229124 | + | 0.229124i | ||||
\(892\) | −1.38921 | − | 0.898918i | −0.0465141 | − | 0.0300980i | ||||
\(893\) | −18.4878 | −0.618669 | ||||||||
\(894\) | −0.740816 | − | 6.99310i | −0.0247766 | − | 0.233884i | ||||
\(895\) | 40.7768 | + | 24.7036i | 1.36302 | + | 0.825751i | ||||
\(896\) | −7.61859 | − | 8.36403i | −0.254519 | − | 0.279423i | ||||
\(897\) | −40.7928 | + | 40.7928i | −1.36203 | + | 1.36203i | ||||
\(898\) | −10.2091 | + | 12.6284i | −0.340683 | + | 0.421416i | ||||
\(899\) | 6.14426 | − | 6.14426i | 0.204922 | − | 0.204922i | ||||
\(900\) | 16.8708 | + | 20.3375i | 0.562358 | + | 0.677915i | ||||
\(901\) | 30.8295 | + | 30.8295i | 1.02708 | + | 1.02708i | ||||
\(902\) | −0.783679 | − | 7.39772i | −0.0260937 | − | 0.246317i | ||||
\(903\) | 1.49657 | + | 1.49657i | 0.0498026 | + | 0.0498026i | ||||
\(904\) | 49.5433 | − | 16.2327i | 1.64778 | − | 0.539893i | ||||
\(905\) | −28.4995 | + | 47.0424i | −0.947354 | + | 1.56374i | ||||
\(906\) | −7.41781 | + | 9.17564i | −0.246440 | + | 0.304840i | ||||
\(907\) | 1.13295i | 0.0376191i | 0.999823 | + | 0.0188095i | \(0.00598762\pi\) | ||||
−0.999823 | + | 0.0188095i | \(0.994012\pi\) | |||||||
\(908\) | 5.32535 | + | 24.8528i | 0.176728 | + | 0.824771i | ||||
\(909\) | 25.2879 | + | 25.2879i | 0.838746 | + | 0.838746i | ||||
\(910\) | −6.49420 | − | 18.0003i | −0.215281 | − | 0.596705i | ||||
\(911\) | − | 2.67816i | − | 0.0887313i | −0.999015 | − | 0.0443657i | \(-0.985873\pi\) | ||
0.999015 | − | 0.0443657i | \(-0.0141267\pi\) | |||||||
\(912\) | 29.9659 | + | 11.3899i | 0.992270 | + | 0.377159i | ||||
\(913\) | −9.01100 | − | 9.01100i | −0.298221 | − | 0.298221i | ||||
\(914\) | 1.65025 | + | 15.5779i | 0.0545853 | + | 0.515270i | ||||
\(915\) | 7.32182 | − | 12.0857i | 0.242052 | − | 0.399541i | ||||
\(916\) | 26.1972 | + | 16.9515i | 0.865581 | + | 0.560094i | ||||
\(917\) | 5.44487 | 0.179805 | ||||||||
\(918\) | −0.729817 | − | 6.88927i | −0.0240875 | − | 0.227380i | ||||
\(919\) | − | 16.1154i | − | 0.531597i | −0.964029 | − | 0.265798i | \(-0.914364\pi\) | ||
0.964029 | − | 0.265798i | \(-0.0856355\pi\) | |||||||
\(920\) | −13.4257 | − | 21.5419i | −0.442633 | − | 0.710215i | ||||
\(921\) | − | 32.8860i | − | 1.08363i | ||||||
\(922\) | −23.9604 | + | 2.53825i | −0.789094 | + | 0.0835929i | ||||
\(923\) | 86.8948 | 2.86018 | ||||||||
\(924\) | −0.968080 | − | 4.51793i | −0.0318475 | − | 0.148629i | ||||
\(925\) | −30.9642 | + | 16.1759i | −1.01810 | + | 0.531861i | ||||
\(926\) | 28.4055 | − | 3.00914i | 0.933462 | − | 0.0988866i | ||||
\(927\) | 3.82978 | + | 3.82978i | 0.125787 | + | 0.125787i | ||||
\(928\) | −4.57787 | − | 7.85438i | −0.150276 | − | 0.257833i | ||||
\(929\) | 22.7868i | 0.747611i | 0.927507 | + | 0.373806i | \(0.121947\pi\) | ||||
−0.927507 | + | 0.373806i | \(0.878053\pi\) | |||||||
\(930\) | 17.2679 | − | 36.7602i | 0.566235 | − | 1.20542i | ||||
\(931\) | 2.38574 | + | 2.38574i | 0.0781894 | + | 0.0781894i | ||||
\(932\) | 0.416969 | + | 0.269810i | 0.0136583 | + | 0.00883791i | ||||
\(933\) | − | 61.6219i | − | 2.01741i | ||||||
\(934\) | 42.1204 | + | 34.0512i | 1.37822 | + | 1.11419i | ||||
\(935\) | −12.1807 | + | 2.98994i | −0.398352 | + | 0.0977815i | ||||
\(936\) | −20.4332 | + | 40.3480i | −0.667879 | + | 1.31881i | ||||
\(937\) | −15.2719 | − | 15.2719i | −0.498911 | − | 0.498911i | 0.412188 | − | 0.911099i | \(-0.364765\pi\) |
−0.911099 | + | 0.412188i | \(0.864765\pi\) | |||||||
\(938\) | −1.24796 | + | 0.132203i | −0.0407474 | + | 0.00431659i | ||||
\(939\) | 36.8571 | + | 36.8571i | 1.20279 | + | 1.20279i | ||||
\(940\) | 23.1543 | + | 8.02441i | 0.755211 | + | 0.261727i | ||||
\(941\) | 19.4676 | − | 19.4676i | 0.634627 | − | 0.634627i | −0.314598 | − | 0.949225i | \(-0.601870\pi\) |
0.949225 | + | 0.314598i | \(0.101870\pi\) | |||||||
\(942\) | −34.2605 | − | 27.6970i | −1.11627 | − | 0.902417i | ||||
\(943\) | −15.3490 | + | 15.3490i | −0.499833 | + | 0.499833i | ||||
\(944\) | 25.4901 | + | 9.68872i | 0.829633 | + | 0.315341i | ||||
\(945\) | −0.984144 | + | 1.62447i | −0.0320142 | + | 0.0528440i | ||||
\(946\) | 1.21870 | − | 0.129103i | 0.0396232 | − | 0.00419750i | ||||
\(947\) | 29.0481 | 0.943938 | 0.471969 | − | 0.881615i | \(-0.343543\pi\) | ||||
0.471969 | + | 0.881615i | \(0.343543\pi\) | |||||||
\(948\) | −26.4086 | + | 5.65871i | −0.857712 | + | 0.183786i | ||||
\(949\) | 45.6820 | − | 45.6820i | 1.48290 | − | 1.48290i | ||||
\(950\) | −19.8644 | + | 13.2129i | −0.644486 | + | 0.428682i | ||||
\(951\) | 33.8988 | 1.09924 | ||||||||
\(952\) | 14.5525 | + | 7.36972i | 0.471649 | + | 0.238854i | ||||
\(953\) | 8.99401 | − | 8.99401i | 0.291345 | − | 0.291345i | −0.546267 | − | 0.837611i | \(-0.683951\pi\) |
0.837611 | + | 0.546267i | \(0.183951\pi\) | |||||||
\(954\) | −17.7607 | + | 21.9696i | −0.575025 | + | 0.711291i | ||||
\(955\) | 25.9379 | − | 6.36686i | 0.839331 | − | 0.206027i | ||||
\(956\) | 7.97486 | + | 37.2179i | 0.257925 | + | 1.20371i | ||||
\(957\) | − | 3.71278i | − | 0.120017i | ||||||
\(958\) | 4.25838 | + | 3.44258i | 0.137582 | + | 0.111225i | ||||
\(959\) | 6.78367 | 0.219056 | ||||||||
\(960\) | −32.5860 | − | 27.2713i | −1.05171 | − | 0.880177i | ||||
\(961\) | 1.76619 | 0.0569738 | ||||||||
\(962\) | −46.4992 | − | 37.5911i | −1.49919 | − | 1.21198i | ||||
\(963\) | 40.5480i | 1.30664i | ||||||||
\(964\) | −9.12619 | − | 42.5910i | −0.293935 | − | 1.37176i | ||||
\(965\) | −4.83246 | + | 7.97666i | −0.155562 | + | 0.256778i | ||||
\(966\) | −8.47604 | + | 10.4846i | −0.272712 | + | 0.337338i | ||||
\(967\) | 41.8479 | − | 41.8479i | 1.34574 | − | 1.34574i | 0.455501 | − | 0.890235i | \(-0.349460\pi\) |
0.890235 | − | 0.455501i | \(-0.150540\pi\) | |||||||
\(968\) | 25.3695 | + | 12.8477i | 0.815408 | + | 0.412942i | ||||
\(969\) | −46.2208 | −1.48483 | ||||||||
\(970\) | −13.6561 | − | 37.8512i | −0.438469 | − | 1.21533i | ||||
\(971\) | −5.67731 | + | 5.67731i | −0.182194 | + | 0.182194i | −0.792311 | − | 0.610117i | \(-0.791122\pi\) |
0.610117 | + | 0.792311i | \(0.291122\pi\) | |||||||
\(972\) | 41.2138 | − | 8.83109i | 1.32193 | − | 0.283257i | ||||
\(973\) | 20.0714 | 0.643460 | ||||||||
\(974\) | −15.0594 | + | 1.59532i | −0.482533 | + | 0.0511173i | ||||
\(975\) | −33.2785 | − | 63.7022i | −1.06577 | − | 2.04010i | ||||
\(976\) | −3.78089 | + | 9.94717i | −0.121023 | + | 0.318401i | ||||
\(977\) | 24.9118 | − | 24.9118i | 0.796998 | − | 0.796998i | −0.185623 | − | 0.982621i | \(-0.559430\pi\) |
0.982621 | + | 0.185623i | \(0.0594302\pi\) | |||||||
\(978\) | 32.7187 | + | 26.4506i | 1.04623 | + | 0.845796i | ||||
\(979\) | 1.03242 | − | 1.03242i | 0.0329963 | − | 0.0329963i | ||||
\(980\) | −1.95243 | − | 4.02343i | −0.0623680 | − | 0.128524i | ||||
\(981\) | −27.0518 | − | 27.0518i | −0.863698 | − | 0.863698i | ||||
\(982\) | −25.4937 | + | 2.70069i | −0.813538 | + | 0.0861824i | ||||
\(983\) | 10.4506 | + | 10.4506i | 0.333323 | + | 0.333323i | 0.853847 | − | 0.520524i | \(-0.174263\pi\) |
−0.520524 | + | 0.853847i | \(0.674263\pi\) | |||||||
\(984\) | −16.4171 | + | 32.4178i | −0.523359 | + | 1.03344i | ||||
\(985\) | 1.63384 | + | 6.65609i | 0.0520585 | + | 0.212081i | ||||
\(986\) | 10.1933 | + | 8.24052i | 0.324621 | + | 0.262432i | ||||
\(987\) | − | 13.0161i | − | 0.414305i | ||||||
\(988\) | −34.2825 | − | 22.1833i | −1.09067 | − | 0.705745i | ||||
\(989\) | −2.52859 | − | 2.52859i | −0.0804045 | − | 0.0804045i | ||||
\(990\) | −2.75804 | − | 7.64460i | −0.0876562 | − | 0.242961i | ||||
\(991\) | 2.78388i | 0.0884328i | 0.999022 | + | 0.0442164i | \(0.0140791\pi\) | ||||
−0.999022 | + | 0.0442164i | \(0.985921\pi\) | |||||||
\(992\) | −7.79468 | + | 29.5758i | −0.247481 | + | 0.939031i | ||||
\(993\) | −27.6044 | − | 27.6044i | −0.875999 | − | 0.875999i | ||||
\(994\) | 20.1946 | − | 2.13932i | 0.640533 | − | 0.0678550i | ||||
\(995\) | −51.0629 | + | 12.5342i | −1.61880 | + | 0.397360i | ||||
\(996\) | 13.0422 | + | 60.8664i | 0.413257 | + | 1.92863i | ||||
\(997\) | 42.6862 | 1.35189 | 0.675944 | − | 0.736953i | \(-0.263736\pi\) | ||||
0.675944 | + | 0.736953i | \(0.263736\pi\) | |||||||
\(998\) | 15.4727 | − | 1.63910i | 0.489779 | − | 0.0518849i | ||||
\(999\) | 5.93475i | 0.187767i |
(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 | 560.2.t.a.43.16 | ✓ | 144 | |
5.2 | odd | 4 | 560.2.bl.a.267.54 | yes | 144 | ||
16.3 | odd | 4 | 560.2.bl.a.323.54 | yes | 144 | ||
80.67 | even | 4 | inner | 560.2.t.a.547.16 | yes | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
560.2.t.a.43.16 | ✓ | 144 | 1.1 | even | 1 | trivial | |
560.2.t.a.547.16 | yes | 144 | 80.67 | even | 4 | inner | |
560.2.bl.a.267.54 | yes | 144 | 5.2 | odd | 4 | ||
560.2.bl.a.323.54 | yes | 144 | 16.3 | odd | 4 |