Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(229,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.229");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bk (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 229.18 | ||
Character | \(\chi\) | \(=\) | 360.229 |
Dual form | 360.2.bk.a.349.18 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.954059 | + | 1.04392i | −0.674622 | + | 0.738164i | ||||
\(3\) | −1.07030 | + | 1.36178i | −0.617940 | + | 0.786225i | ||||
\(4\) | −0.179543 | − | 1.99192i | −0.0897714 | − | 0.995962i | ||||
\(5\) | 1.96832 | − | 1.06099i | 0.880260 | − | 0.474491i | ||||
\(6\) | −0.400461 | − | 2.41653i | −0.163488 | − | 0.986545i | ||||
\(7\) | −1.60442 | + | 0.926310i | −0.606412 | + | 0.350112i | −0.771560 | − | 0.636157i | \(-0.780523\pi\) |
0.165148 | + | 0.986269i | \(0.447190\pi\) | |||||||
\(8\) | 2.25071 | + | 1.71299i | 0.795745 | + | 0.605632i | ||||
\(9\) | −0.708903 | − | 2.91504i | −0.236301 | − | 0.971680i | ||||
\(10\) | −0.770302 | + | 3.06702i | −0.243591 | + | 0.969878i | ||||
\(11\) | −2.88736 | + | 1.66702i | −0.870573 | + | 0.502625i | −0.867539 | − | 0.497370i | \(-0.834299\pi\) |
−0.00303427 | + | 0.999995i | \(0.500966\pi\) | |||||||
\(12\) | 2.90473 | + | 1.88746i | 0.838524 | + | 0.544864i | ||||
\(13\) | −3.23243 | + | 5.59873i | −0.896514 | + | 1.55281i | −0.0645952 | + | 0.997912i | \(0.520576\pi\) |
−0.831919 | + | 0.554897i | \(0.812758\pi\) | |||||||
\(14\) | 0.563713 | − | 2.55864i | 0.150659 | − | 0.683825i | ||||
\(15\) | −0.661859 | + | 3.81601i | −0.170891 | + | 0.985290i | ||||
\(16\) | −3.93553 | + | 0.715271i | −0.983882 | + | 0.178818i | ||||
\(17\) | − | 0.590749i | − | 0.143278i | −0.997431 | − | 0.0716388i | \(-0.977177\pi\) | ||
0.997431 | − | 0.0716388i | \(-0.0228229\pi\) | |||||||
\(18\) | 3.71941 | + | 2.04108i | 0.876673 | + | 0.481087i | ||||
\(19\) | 4.73221i | 1.08564i | 0.839848 | + | 0.542821i | \(0.182644\pi\) | ||||
−0.839848 | + | 0.542821i | \(0.817356\pi\) | |||||||
\(20\) | −2.46682 | − | 3.73026i | −0.551597 | − | 0.834111i | ||||
\(21\) | 0.455778 | − | 3.17630i | 0.0994590 | − | 0.693125i | ||||
\(22\) | 1.01448 | − | 4.60462i | 0.216287 | − | 0.981707i | ||||
\(23\) | −7.05625 | − | 4.07393i | −1.47133 | − | 0.849473i | −0.471848 | − | 0.881680i | \(-0.656413\pi\) |
−0.999481 | + | 0.0322071i | \(0.989746\pi\) | |||||||
\(24\) | −4.74165 | + | 1.23156i | −0.967886 | + | 0.251391i | ||||
\(25\) | 2.74859 | − | 4.17675i | 0.549717 | − | 0.835351i | ||||
\(26\) | −2.76071 | − | 8.71592i | −0.541419 | − | 1.70933i | ||||
\(27\) | 4.72839 | + | 2.15460i | 0.909979 | + | 0.414654i | ||||
\(28\) | 2.13320 | + | 3.02956i | 0.403137 | + | 0.572534i | ||||
\(29\) | 0.135659 | − | 0.0783230i | 0.0251913 | − | 0.0145442i | −0.487351 | − | 0.873206i | \(-0.662037\pi\) |
0.512543 | + | 0.858662i | \(0.328704\pi\) | |||||||
\(30\) | −3.35216 | − | 4.33163i | −0.612018 | − | 0.790844i | ||||
\(31\) | −2.77492 | + | 4.80630i | −0.498390 | + | 0.863236i | −0.999998 | − | 0.00185828i | \(-0.999408\pi\) |
0.501608 | + | 0.865095i | \(0.332742\pi\) | |||||||
\(32\) | 3.00804 | − | 4.79079i | 0.531751 | − | 0.846901i | ||||
\(33\) | 0.820235 | − | 5.71618i | 0.142785 | − | 0.995059i | ||||
\(34\) | 0.616695 | + | 0.563609i | 0.105762 | + | 0.0966582i | ||||
\(35\) | −2.17520 | + | 3.52555i | −0.367676 | + | 0.595927i | ||||
\(36\) | −5.67926 | + | 1.93546i | −0.946544 | + | 0.322576i | ||||
\(37\) | −3.21991 | −0.529350 | −0.264675 | − | 0.964338i | \(-0.585265\pi\) | ||||
−0.264675 | + | 0.964338i | \(0.585265\pi\) | |||||||
\(38\) | −4.94005 | − | 4.51480i | −0.801382 | − | 0.732398i | ||||
\(39\) | −4.16458 | − | 10.3942i | −0.666866 | − | 1.66440i | ||||
\(40\) | 6.24758 | + | 0.983722i | 0.987830 | + | 0.155540i | ||||
\(41\) | −0.929101 | + | 1.60925i | −0.145101 | + | 0.251323i | −0.929411 | − | 0.369047i | \(-0.879684\pi\) |
0.784309 | + | 0.620370i | \(0.213017\pi\) | |||||||
\(42\) | 2.88096 | + | 3.50617i | 0.444542 | + | 0.541014i | ||||
\(43\) | −1.08597 | − | 1.88095i | −0.165608 | − | 0.286842i | 0.771263 | − | 0.636517i | \(-0.219625\pi\) |
−0.936871 | + | 0.349675i | \(0.886292\pi\) | |||||||
\(44\) | 3.83898 | + | 5.45211i | 0.578749 | + | 0.821936i | ||||
\(45\) | −4.48819 | − | 4.98560i | −0.669060 | − | 0.743209i | ||||
\(46\) | 10.9849 | − | 3.47940i | 1.61964 | − | 0.513010i | ||||
\(47\) | 8.32731 | − | 4.80777i | 1.21466 | − | 0.701286i | 0.250891 | − | 0.968015i | \(-0.419276\pi\) |
0.963771 | + | 0.266729i | \(0.0859430\pi\) | |||||||
\(48\) | 3.23816 | − | 6.12489i | 0.467389 | − | 0.884052i | ||||
\(49\) | −1.78390 | + | 3.08981i | −0.254843 | + | 0.441401i | ||||
\(50\) | 1.73789 | + | 6.85418i | 0.245775 | + | 0.969327i | ||||
\(51\) | 0.804471 | + | 0.632280i | 0.112649 | + | 0.0885369i | ||||
\(52\) | 11.7326 | + | 5.43354i | 1.62702 | + | 0.753497i | ||||
\(53\) | −6.40212 | −0.879398 | −0.439699 | − | 0.898145i | \(-0.644915\pi\) | ||||
−0.439699 | + | 0.898145i | \(0.644915\pi\) | |||||||
\(54\) | −6.76040 | + | 2.88045i | −0.919974 | + | 0.391979i | ||||
\(55\) | −3.91456 | + | 6.34471i | −0.527840 | + | 0.855520i | ||||
\(56\) | −5.19782 | − | 0.663489i | −0.694588 | − | 0.0886624i | ||||
\(57\) | −6.44424 | − | 5.06489i | −0.853560 | − | 0.670862i | ||||
\(58\) | −0.0476640 | + | 0.216342i | −0.00625859 | + | 0.0284072i | ||||
\(59\) | 1.67616 | + | 0.967729i | 0.218217 | + | 0.125988i | 0.605124 | − | 0.796131i | \(-0.293123\pi\) |
−0.386907 | + | 0.922119i | \(0.626457\pi\) | |||||||
\(60\) | 7.72004 | + | 0.633235i | 0.996653 | + | 0.0817503i | ||||
\(61\) | 2.78455 | − | 1.60766i | 0.356526 | − | 0.205840i | −0.311030 | − | 0.950400i | \(-0.600674\pi\) |
0.667556 | + | 0.744560i | \(0.267341\pi\) | |||||||
\(62\) | −2.36996 | − | 7.48229i | −0.300985 | − | 0.950251i | ||||
\(63\) | 3.83760 | + | 4.02027i | 0.483493 | + | 0.506507i | ||||
\(64\) | 2.13136 | + | 7.71086i | 0.266420 | + | 0.963857i | ||||
\(65\) | −0.422244 | + | 14.4497i | −0.0523729 | + | 1.79226i | ||||
\(66\) | 5.18469 | + | 6.30983i | 0.638191 | + | 0.776687i | ||||
\(67\) | −3.33522 | + | 5.77678i | −0.407462 | + | 0.705745i | −0.994605 | − | 0.103738i | \(-0.966920\pi\) |
0.587142 | + | 0.809484i | \(0.300253\pi\) | |||||||
\(68\) | −1.17673 | + | 0.106065i | −0.142699 | + | 0.0128622i | ||||
\(69\) | 13.1001 | − | 5.24874i | 1.57707 | − | 0.631874i | ||||
\(70\) | −1.60513 | − | 5.63432i | −0.191850 | − | 0.673430i | ||||
\(71\) | 2.20166 | 0.261289 | 0.130644 | − | 0.991429i | \(-0.458295\pi\) | ||||
0.130644 | + | 0.991429i | \(0.458295\pi\) | |||||||
\(72\) | 3.39789 | − | 7.77524i | 0.400445 | − | 0.916321i | ||||
\(73\) | 15.2968i | 1.79035i | 0.445710 | + | 0.895177i | \(0.352951\pi\) | ||||
−0.445710 | + | 0.895177i | \(0.647049\pi\) | |||||||
\(74\) | 3.07198 | − | 3.36133i | 0.357111 | − | 0.390747i | ||||
\(75\) | 2.74601 | + | 8.21337i | 0.317082 | + | 0.948398i | ||||
\(76\) | 9.42620 | − | 0.849633i | 1.08126 | − | 0.0974596i | ||||
\(77\) | 3.08835 | − | 5.34919i | 0.351951 | − | 0.609596i | ||||
\(78\) | 14.8240 | + | 5.56919i | 1.67848 | + | 0.630587i | ||||
\(79\) | −0.603265 | − | 1.04489i | −0.0678727 | − | 0.117559i | 0.830092 | − | 0.557626i | \(-0.188288\pi\) |
−0.897965 | + | 0.440068i | \(0.854954\pi\) | |||||||
\(80\) | −6.98749 | + | 5.58346i | −0.781225 | + | 0.624249i | ||||
\(81\) | −7.99491 | + | 4.13296i | −0.888324 | + | 0.459218i | ||||
\(82\) | −0.793513 | − | 2.50523i | −0.0876289 | − | 0.276656i | ||||
\(83\) | 2.12097 | + | 3.67362i | 0.232806 | + | 0.403232i | 0.958633 | − | 0.284645i | \(-0.0918759\pi\) |
−0.725827 | + | 0.687878i | \(0.758543\pi\) | |||||||
\(84\) | −6.40878 | − | 0.337595i | −0.699255 | − | 0.0368346i | ||||
\(85\) | −0.626781 | − | 1.16278i | −0.0679839 | − | 0.126122i | ||||
\(86\) | 2.99964 | + | 0.660873i | 0.323459 | + | 0.0712638i | ||||
\(87\) | −0.0385378 | + | 0.268568i | −0.00413168 | + | 0.0287935i | ||||
\(88\) | −9.35419 | − | 1.19404i | −0.997160 | − | 0.127285i | ||||
\(89\) | 12.3193 | 1.30584 | 0.652921 | − | 0.757426i | \(-0.273543\pi\) | ||||
0.652921 | + | 0.757426i | \(0.273543\pi\) | |||||||
\(90\) | 9.48657 | + | 0.0712379i | 0.999972 | + | 0.00750913i | ||||
\(91\) | − | 11.9769i | − | 1.25552i | ||||||
\(92\) | −6.84806 | + | 14.7870i | −0.713959 | + | 1.54165i | ||||
\(93\) | −3.57513 | − | 8.92303i | −0.370724 | − | 0.925275i | ||||
\(94\) | −2.92581 | + | 13.2800i | −0.301774 | + | 1.36972i | ||||
\(95\) | 5.02084 | + | 9.31451i | 0.515127 | + | 0.955648i | ||||
\(96\) | 3.30450 | + | 9.22390i | 0.337265 | + | 0.941410i | ||||
\(97\) | 12.0457 | − | 6.95457i | 1.22305 | − | 0.706130i | 0.257485 | − | 0.966282i | \(-0.417106\pi\) |
0.965568 | + | 0.260152i | \(0.0837727\pi\) | |||||||
\(98\) | −1.52357 | − | 4.81011i | −0.153904 | − | 0.485894i | ||||
\(99\) | 6.90629 | + | 7.23502i | 0.694108 | + | 0.727147i | ||||
\(100\) | −8.81327 | − | 4.72507i | −0.881327 | − | 0.472507i | ||||
\(101\) | −12.4676 | + | 7.19817i | −1.24057 | + | 0.716245i | −0.969211 | − | 0.246233i | \(-0.920807\pi\) |
−0.271362 | + | 0.962477i | \(0.587474\pi\) | |||||||
\(102\) | −1.42756 | + | 0.236572i | −0.141350 | + | 0.0234241i | ||||
\(103\) | −7.10860 | − | 4.10415i | −0.700431 | − | 0.404394i | 0.107077 | − | 0.994251i | \(-0.465851\pi\) |
−0.807508 | + | 0.589857i | \(0.799184\pi\) | |||||||
\(104\) | −16.8658 | + | 7.06400i | −1.65383 | + | 0.692682i | ||||
\(105\) | −2.47291 | − | 6.73555i | −0.241332 | − | 0.657323i | ||||
\(106\) | 6.10800 | − | 6.68331i | 0.593261 | − | 0.649140i | ||||
\(107\) | 17.4628 | 1.68819 | 0.844094 | − | 0.536195i | \(-0.180139\pi\) | ||||
0.844094 | + | 0.536195i | \(0.180139\pi\) | |||||||
\(108\) | 3.44286 | − | 9.80544i | 0.331289 | − | 0.943529i | ||||
\(109\) | − | 16.1089i | − | 1.54295i | −0.636259 | − | 0.771476i | \(-0.719519\pi\) | ||
0.636259 | − | 0.771476i | \(-0.280481\pi\) | |||||||
\(110\) | −2.88865 | − | 10.1397i | −0.275422 | − | 0.966784i | ||||
\(111\) | 3.44628 | − | 4.38481i | 0.327106 | − | 0.416188i | ||||
\(112\) | 5.65166 | − | 4.79311i | 0.534032 | − | 0.452906i | ||||
\(113\) | 3.62139 | + | 2.09081i | 0.340671 | + | 0.196687i | 0.660569 | − | 0.750765i | \(-0.270315\pi\) |
−0.319898 | + | 0.947452i | \(0.603649\pi\) | |||||||
\(114\) | 11.4355 | − | 1.89507i | 1.07104 | − | 0.177489i | ||||
\(115\) | −18.2114 | − | 0.532167i | −1.69822 | − | 0.0496248i | ||||
\(116\) | −0.180370 | − | 0.256161i | −0.0167469 | − | 0.0237839i | ||||
\(117\) | 18.6120 | + | 5.45370i | 1.72068 | + | 0.504195i | ||||
\(118\) | −2.60938 | + | 0.826504i | −0.240213 | + | 0.0760858i | ||||
\(119\) | 0.547216 | + | 0.947806i | 0.0501632 | + | 0.0868853i | ||||
\(120\) | −8.02642 | + | 7.45497i | −0.732709 | + | 0.680542i | ||||
\(121\) | 0.0579116 | − | 0.100306i | 0.00526469 | − | 0.00911872i | ||||
\(122\) | −0.978355 | + | 4.44066i | −0.0885761 | + | 0.402038i | ||||
\(123\) | −1.19703 | − | 2.98762i | −0.107933 | − | 0.269385i | ||||
\(124\) | 10.0720 | + | 4.66449i | 0.904492 | + | 0.418884i | ||||
\(125\) | 0.978591 | − | 11.1374i | 0.0875278 | − | 0.996162i | ||||
\(126\) | −7.85815 | + | 0.170581i | −0.700059 | + | 0.0151966i | ||||
\(127\) | 1.18401i | 0.105064i | 0.998619 | + | 0.0525322i | \(0.0167292\pi\) | ||||
−0.998619 | + | 0.0525322i | \(0.983271\pi\) | |||||||
\(128\) | −10.0830 | − | 5.13164i | −0.891217 | − | 0.453577i | ||||
\(129\) | 3.72376 | + | 0.534335i | 0.327858 | + | 0.0470456i | ||||
\(130\) | −14.6815 | − | 14.2266i | −1.28765 | − | 1.24776i | ||||
\(131\) | −6.15679 | − | 3.55462i | −0.537921 | − | 0.310569i | 0.206315 | − | 0.978486i | \(-0.433853\pi\) |
−0.744236 | + | 0.667917i | \(0.767186\pi\) | |||||||
\(132\) | −11.5335 | − | 0.607548i | −1.00386 | − | 0.0528803i | ||||
\(133\) | −4.38349 | − | 7.59243i | −0.380097 | − | 0.658347i | ||||
\(134\) | −2.84850 | − | 8.99309i | −0.246073 | − | 0.776885i | ||||
\(135\) | 11.5930 | − | 0.775838i | 0.997768 | − | 0.0667735i | ||||
\(136\) | 1.01194 | − | 1.32960i | 0.0867735 | − | 0.114012i | ||||
\(137\) | −3.36728 | + | 1.94410i | −0.287686 | + | 0.166096i | −0.636898 | − | 0.770948i | \(-0.719783\pi\) |
0.349212 | + | 0.937044i | \(0.386449\pi\) | |||||||
\(138\) | −7.01902 | + | 18.6831i | −0.597499 | + | 1.59041i | ||||
\(139\) | 2.71801 | + | 1.56924i | 0.230538 | + | 0.133101i | 0.610820 | − | 0.791769i | \(-0.290840\pi\) |
−0.380282 | + | 0.924871i | \(0.624173\pi\) | |||||||
\(140\) | 7.41317 | + | 3.69984i | 0.626527 | + | 0.312694i | ||||
\(141\) | −2.36560 | + | 16.4858i | −0.199219 | + | 1.38835i | ||||
\(142\) | −2.10051 | + | 2.29836i | −0.176271 | + | 0.192874i | ||||
\(143\) | − | 21.5541i | − | 1.80244i | ||||||
\(144\) | 4.87495 | + | 10.9652i | 0.406246 | + | 0.913764i | ||||
\(145\) | 0.183921 | − | 0.298099i | 0.0152738 | − | 0.0247557i | ||||
\(146\) | −15.9686 | − | 14.5940i | −1.32157 | − | 1.20781i | ||||
\(147\) | −2.29833 | − | 5.73631i | −0.189563 | − | 0.473123i | ||||
\(148\) | 0.578111 | + | 6.41382i | 0.0475204 | + | 0.527212i | ||||
\(149\) | 6.27214 | + | 3.62122i | 0.513834 | + | 0.296662i | 0.734408 | − | 0.678708i | \(-0.237460\pi\) |
−0.220574 | + | 0.975370i | \(0.570793\pi\) | |||||||
\(150\) | −11.1940 | − | 4.96942i | −0.913984 | − | 0.405751i | ||||
\(151\) | 6.77715 | + | 11.7384i | 0.551517 | + | 0.955255i | 0.998165 | + | 0.0605455i | \(0.0192840\pi\) |
−0.446649 | + | 0.894709i | \(0.647383\pi\) | |||||||
\(152\) | −8.10620 | + | 10.6508i | −0.657500 | + | 0.863895i | ||||
\(153\) | −1.72206 | + | 0.418784i | −0.139220 | + | 0.0338567i | ||||
\(154\) | 2.63766 | + | 8.32744i | 0.212548 | + | 0.671044i | ||||
\(155\) | −0.362480 | + | 12.4045i | −0.0291151 | + | 0.996354i | ||||
\(156\) | −19.9567 | + | 10.1617i | −1.59782 | + | 0.813589i | ||||
\(157\) | −1.59282 | + | 2.75885i | −0.127121 | + | 0.220180i | −0.922560 | − | 0.385854i | \(-0.873907\pi\) |
0.795439 | + | 0.606034i | \(0.207240\pi\) | |||||||
\(158\) | 1.66633 | + | 0.367122i | 0.132566 | + | 0.0292066i | ||||
\(159\) | 6.85221 | − | 8.71829i | 0.543415 | − | 0.691405i | ||||
\(160\) | 0.837791 | − | 12.6213i | 0.0662332 | − | 0.997804i | ||||
\(161\) | 15.0949 | 1.18964 | ||||||||
\(162\) | 3.31313 | − | 12.2891i | 0.260304 | − | 0.965527i | ||||
\(163\) | 14.4380 | 1.13087 | 0.565435 | − | 0.824793i | \(-0.308708\pi\) | ||||
0.565435 | + | 0.824793i | \(0.308708\pi\) | |||||||
\(164\) | 3.37232 | + | 1.56177i | 0.263334 | + | 0.121954i | ||||
\(165\) | −4.45034 | − | 12.1215i | −0.346459 | − | 0.943661i | ||||
\(166\) | −5.85850 | − | 1.29073i | −0.454708 | − | 0.100180i | ||||
\(167\) | 10.4193 | + | 6.01557i | 0.806268 | + | 0.465499i | 0.845658 | − | 0.533725i | \(-0.179208\pi\) |
−0.0393901 | + | 0.999224i | \(0.512542\pi\) | |||||||
\(168\) | 6.46677 | − | 6.36817i | 0.498922 | − | 0.491315i | ||||
\(169\) | −14.3972 | − | 24.9367i | −1.10748 | − | 1.91820i | ||||
\(170\) | 1.81184 | + | 0.455055i | 0.138962 | + | 0.0349011i | ||||
\(171\) | 13.7946 | − | 3.35468i | 1.05490 | − | 0.256539i | ||||
\(172\) | −3.55173 | + | 2.50087i | −0.270817 | + | 0.190690i | ||||
\(173\) | 5.44736 | + | 9.43511i | 0.414155 | + | 0.717338i | 0.995339 | − | 0.0964340i | \(-0.0307437\pi\) |
−0.581184 | + | 0.813772i | \(0.697410\pi\) | |||||||
\(174\) | −0.243596 | − | 0.296460i | −0.0184670 | − | 0.0224746i | ||||
\(175\) | −0.540904 | + | 9.24729i | −0.0408885 | + | 0.699029i | ||||
\(176\) | 10.1709 | − | 8.62585i | 0.766663 | − | 0.650198i | ||||
\(177\) | −3.11183 | + | 1.24680i | −0.233899 | + | 0.0937149i | ||||
\(178\) | −11.7533 | + | 12.8604i | −0.880949 | + | 0.963925i | ||||
\(179\) | − | 0.363546i | − | 0.0271727i | −0.999908 | − | 0.0135863i | \(-0.995675\pi\) | ||
0.999908 | − | 0.0135863i | \(-0.00432480\pi\) | |||||||
\(180\) | −9.12511 | + | 9.83526i | −0.680146 | + | 0.733077i | ||||
\(181\) | 3.06981i | 0.228177i | 0.993471 | + | 0.114089i | \(0.0363948\pi\) | ||||
−0.993471 | + | 0.114089i | \(0.963605\pi\) | |||||||
\(182\) | 12.5030 | + | 11.4267i | 0.926781 | + | 0.847002i | ||||
\(183\) | −0.791029 | + | 5.51264i | −0.0584746 | + | 0.407506i | ||||
\(184\) | −8.90297 | − | 21.2565i | −0.656336 | − | 1.56705i | ||||
\(185\) | −6.33782 | + | 3.41630i | −0.465966 | + | 0.251172i | ||||
\(186\) | 12.7258 | + | 4.78094i | 0.933103 | + | 0.350556i | ||||
\(187\) | 0.984790 | + | 1.70571i | 0.0720150 | + | 0.124734i | ||||
\(188\) | −11.0718 | − | 15.7242i | −0.807496 | − | 1.14680i | ||||
\(189\) | −9.58213 | + | 0.923075i | −0.696998 | + | 0.0671438i | ||||
\(190\) | −14.5138 | − | 3.64523i | −1.05294 | − | 0.264453i | ||||
\(191\) | −9.10363 | − | 15.7680i | −0.658716 | − | 1.14093i | −0.980948 | − | 0.194269i | \(-0.937767\pi\) |
0.322233 | − | 0.946661i | \(-0.395567\pi\) | |||||||
\(192\) | −12.7817 | − | 5.35050i | −0.922441 | − | 0.386139i | ||||
\(193\) | 19.6102 | + | 11.3220i | 1.41158 | + | 0.814974i | 0.995537 | − | 0.0943730i | \(-0.0300846\pi\) |
0.416039 | + | 0.909347i | \(0.363418\pi\) | |||||||
\(194\) | −4.23226 | + | 19.2098i | −0.303858 | + | 1.37918i | ||||
\(195\) | −19.2254 | − | 16.0406i | −1.37676 | − | 1.14869i | ||||
\(196\) | 6.47495 | + | 2.99864i | 0.462496 | + | 0.214189i | ||||
\(197\) | −12.2075 | −0.869747 | −0.434873 | − | 0.900492i | \(-0.643207\pi\) | ||||
−0.434873 | + | 0.900492i | \(0.643207\pi\) | |||||||
\(198\) | −14.1418 | + | 0.306984i | −1.00501 | + | 0.0218164i | ||||
\(199\) | −14.9325 | −1.05854 | −0.529269 | − | 0.848454i | \(-0.677534\pi\) | ||||
−0.529269 | + | 0.848454i | \(0.677534\pi\) | |||||||
\(200\) | 13.3410 | − | 4.69236i | 0.943350 | − | 0.331800i | ||||
\(201\) | −4.29701 | − | 10.7247i | −0.303088 | − | 0.756465i | ||||
\(202\) | 4.38050 | − | 19.8827i | 0.308211 | − | 1.39894i | ||||
\(203\) | −0.145103 | + | 0.251325i | −0.0101842 | + | 0.0176396i | ||||
\(204\) | 1.11502 | − | 1.71597i | 0.0780668 | − | 0.120142i | ||||
\(205\) | −0.121366 | + | 4.15329i | −0.00847657 | + | 0.290079i | ||||
\(206\) | 11.0664 | − | 3.50521i | 0.771035 | − | 0.244220i | ||||
\(207\) | −6.87346 | + | 23.4573i | −0.477739 | + | 1.63039i | ||||
\(208\) | 8.71670 | − | 24.3460i | 0.604395 | − | 1.68809i | ||||
\(209\) | −7.88868 | − | 13.6636i | −0.545672 | − | 0.945131i | ||||
\(210\) | 9.39069 | + | 3.84459i | 0.648019 | + | 0.265302i | ||||
\(211\) | −5.55973 | − | 3.20991i | −0.382748 | − | 0.220980i | 0.296265 | − | 0.955106i | \(-0.404259\pi\) |
−0.679013 | + | 0.734126i | \(0.737592\pi\) | |||||||
\(212\) | 1.14945 | + | 12.7525i | 0.0789448 | + | 0.875848i | ||||
\(213\) | −2.35644 | + | 2.99818i | −0.161461 | + | 0.205432i | ||||
\(214\) | −16.6605 | + | 18.2297i | −1.13889 | + | 1.24616i | ||||
\(215\) | −4.13321 | − | 2.55011i | −0.281882 | − | 0.173916i | ||||
\(216\) | 6.95142 | + | 12.9490i | 0.472984 | + | 0.881071i | ||||
\(217\) | − | 10.2817i | − | 0.697969i | ||||||
\(218\) | 16.8164 | + | 15.3688i | 1.13895 | + | 1.04091i | ||||
\(219\) | −20.8309 | − | 16.3722i | −1.40762 | − | 1.10633i | ||||
\(220\) | 13.3410 | + | 6.65837i | 0.899451 | + | 0.448907i | ||||
\(221\) | 3.30744 | + | 1.90955i | 0.222483 | + | 0.128450i | ||||
\(222\) | 1.28945 | + | 7.78101i | 0.0865421 | + | 0.522227i | ||||
\(223\) | −20.2535 | + | 11.6934i | −1.35628 | + | 0.783046i | −0.989120 | − | 0.147113i | \(-0.953002\pi\) |
−0.367156 | + | 0.930159i | \(0.619668\pi\) | |||||||
\(224\) | −0.388388 | + | 10.4728i | −0.0259503 | + | 0.699743i | ||||
\(225\) | −14.1239 | − | 5.05132i | −0.941592 | − | 0.336755i | ||||
\(226\) | −5.63765 | + | 1.78569i | −0.375011 | + | 0.118782i | ||||
\(227\) | −11.6127 | − | 20.1137i | −0.770760 | − | 1.33500i | −0.937147 | − | 0.348935i | \(-0.886543\pi\) |
0.166387 | − | 0.986061i | \(-0.446790\pi\) | |||||||
\(228\) | −8.93187 | + | 13.7458i | −0.591528 | + | 0.910338i | ||||
\(229\) | 6.49252 | + | 3.74846i | 0.429038 | + | 0.247705i | 0.698937 | − | 0.715184i | \(-0.253657\pi\) |
−0.269899 | + | 0.962889i | \(0.586990\pi\) | |||||||
\(230\) | 17.9303 | − | 18.5035i | 1.18229 | − | 1.22009i | ||||
\(231\) | 3.97895 | + | 9.93092i | 0.261796 | + | 0.653406i | ||||
\(232\) | 0.439496 | + | 0.0561005i | 0.0288543 | + | 0.00368318i | ||||
\(233\) | 19.5735i | 1.28230i | 0.767414 | + | 0.641152i | \(0.221543\pi\) | ||||
−0.767414 | + | 0.641152i | \(0.778457\pi\) | |||||||
\(234\) | −23.4502 | + | 14.2263i | −1.53299 | + | 0.930003i | ||||
\(235\) | 11.2898 | − | 18.2985i | 0.736466 | − | 1.19366i | ||||
\(236\) | 1.62670 | − | 3.51252i | 0.105889 | − | 0.228646i | ||||
\(237\) | 2.06858 | + | 0.296829i | 0.134369 | + | 0.0192811i | ||||
\(238\) | −1.51151 | − | 0.333013i | −0.0979768 | − | 0.0215860i | ||||
\(239\) | 2.50305 | − | 4.33540i | 0.161909 | − | 0.280434i | −0.773645 | − | 0.633620i | \(-0.781568\pi\) |
0.935553 | + | 0.353186i | \(0.114902\pi\) | |||||||
\(240\) | −0.124720 | − | 15.4914i | −0.00805064 | − | 0.999968i | ||||
\(241\) | 5.73015 | + | 9.92490i | 0.369111 | + | 0.639319i | 0.989427 | − | 0.145033i | \(-0.0463288\pi\) |
−0.620316 | + | 0.784352i | \(0.712995\pi\) | |||||||
\(242\) | 0.0494603 | + | 0.156153i | 0.00317943 | + | 0.0100379i | ||||
\(243\) | 2.92878 | − | 15.3109i | 0.187882 | − | 0.982192i | ||||
\(244\) | −3.70229 | − | 5.25798i | −0.237015 | − | 0.336608i | ||||
\(245\) | −0.233026 | + | 7.97444i | −0.0148875 | + | 0.509468i | ||||
\(246\) | 4.26088 | + | 1.60076i | 0.271664 | + | 0.102061i | ||||
\(247\) | −26.4943 | − | 15.2965i | −1.68580 | − | 0.973294i | ||||
\(248\) | −14.4786 | + | 6.06417i | −0.919395 | + | 0.385075i | ||||
\(249\) | −7.27275 | − | 1.04359i | −0.460892 | − | 0.0661350i | ||||
\(250\) | 10.6930 | + | 11.6473i | 0.676283 | + | 0.736642i | ||||
\(251\) | 5.20608i | 0.328605i | 0.986410 | + | 0.164303i | \(0.0525373\pi\) | ||||
−0.986410 | + | 0.164303i | \(0.947463\pi\) | |||||||
\(252\) | 7.31906 | − | 8.36603i | 0.461058 | − | 0.527010i | ||||
\(253\) | 27.1653 | 1.70787 | ||||||||
\(254\) | −1.23602 | − | 1.12962i | −0.0775547 | − | 0.0708786i | ||||
\(255\) | 2.25430 | + | 0.390992i | 0.141170 | + | 0.0244849i | ||||
\(256\) | 14.9768 | − | 5.62994i | 0.936048 | − | 0.351871i | ||||
\(257\) | 8.63681 | + | 4.98647i | 0.538750 | + | 0.311047i | 0.744572 | − | 0.667542i | \(-0.232654\pi\) |
−0.205822 | + | 0.978589i | \(0.565987\pi\) | |||||||
\(258\) | −4.11049 | + | 3.37752i | −0.255908 | + | 0.210275i | ||||
\(259\) | 5.16607 | − | 2.98263i | 0.321004 | − | 0.185332i | ||||
\(260\) | 28.8585 | − | 1.75326i | 1.78973 | − | 0.108733i | ||||
\(261\) | −0.324484 | − | 0.339929i | −0.0200851 | − | 0.0210411i | ||||
\(262\) | 9.58468 | − | 3.03588i | 0.592144 | − | 0.187557i | ||||
\(263\) | 10.2358 | − | 5.90965i | 0.631167 | − | 0.364404i | −0.150037 | − | 0.988680i | \(-0.547939\pi\) |
0.781204 | + | 0.624276i | \(0.214606\pi\) | |||||||
\(264\) | 11.6378 | − | 11.4604i | 0.716259 | − | 0.705338i | ||||
\(265\) | −12.6014 | + | 6.79261i | −0.774100 | + | 0.417266i | ||||
\(266\) | 12.1080 | + | 2.66761i | 0.742389 | + | 0.163561i | ||||
\(267\) | −13.1854 | + | 16.7762i | −0.806932 | + | 1.02669i | ||||
\(268\) | 12.1057 | + | 5.60634i | 0.739474 | + | 0.342461i | ||||
\(269\) | 16.1799i | 0.986508i | 0.869885 | + | 0.493254i | \(0.164193\pi\) | ||||
−0.869885 | + | 0.493254i | \(0.835807\pi\) | |||||||
\(270\) | −10.2505 | + | 12.8424i | −0.623826 | + | 0.781563i | ||||
\(271\) | 20.1093 | 1.22155 | 0.610776 | − | 0.791803i | \(-0.290857\pi\) | ||||
0.610776 | + | 0.791803i | \(0.290857\pi\) | |||||||
\(272\) | 0.422546 | + | 2.32491i | 0.0256206 | + | 0.140968i | ||||
\(273\) | 16.3100 | + | 12.8189i | 0.987124 | + | 0.775837i | ||||
\(274\) | 1.18310 | − | 5.36997i | 0.0714736 | − | 0.324412i | ||||
\(275\) | −0.973430 | + | 16.6418i | −0.0587000 | + | 1.00354i | ||||
\(276\) | −12.8071 | − | 25.1521i | −0.770899 | − | 1.51398i | ||||
\(277\) | 1.26920 | + | 2.19832i | 0.0762588 | + | 0.132084i | 0.901633 | − | 0.432502i | \(-0.142369\pi\) |
−0.825374 | + | 0.564586i | \(0.809036\pi\) | |||||||
\(278\) | −4.23130 | + | 1.34023i | −0.253777 | + | 0.0803819i | ||||
\(279\) | 15.9777 | + | 4.68179i | 0.956560 | + | 0.280292i | ||||
\(280\) | −10.9349 | + | 4.20890i | −0.653488 | + | 0.251530i | ||||
\(281\) | −3.84074 | − | 6.65235i | −0.229119 | − | 0.396846i | 0.728428 | − | 0.685122i | \(-0.240251\pi\) |
−0.957547 | + | 0.288276i | \(0.906918\pi\) | |||||||
\(282\) | −14.9529 | − | 18.1979i | −0.890433 | − | 1.08367i | ||||
\(283\) | 1.95480 | − | 3.38581i | 0.116201 | − | 0.201266i | −0.802058 | − | 0.597246i | \(-0.796262\pi\) |
0.918259 | + | 0.395980i | \(0.129595\pi\) | |||||||
\(284\) | −0.395292 | − | 4.38554i | −0.0234563 | − | 0.260234i | ||||
\(285\) | −18.0582 | − | 3.13205i | −1.06967 | − | 0.185527i | ||||
\(286\) | 22.5008 | + | 20.5639i | 1.33050 | + | 1.21597i | ||||
\(287\) | − | 3.44254i | − | 0.203207i | ||||||
\(288\) | −16.0978 | − | 5.37235i | −0.948570 | − | 0.316569i | ||||
\(289\) | 16.6510 | 0.979472 | ||||||||
\(290\) | 0.135720 | + | 0.476403i | 0.00796974 | + | 0.0279753i | ||||
\(291\) | −3.42190 | + | 23.8471i | −0.200596 | + | 1.39794i | ||||
\(292\) | 30.4701 | − | 2.74643i | 1.78313 | − | 0.160723i | ||||
\(293\) | −0.689283 | + | 1.19387i | −0.0402683 | + | 0.0697468i | −0.885457 | − | 0.464721i | \(-0.846155\pi\) |
0.845189 | + | 0.534468i | \(0.179488\pi\) | |||||||
\(294\) | 8.18100 | + | 3.07351i | 0.477126 | + | 0.179251i | ||||
\(295\) | 4.32597 | + | 0.126412i | 0.251868 | + | 0.00735998i | ||||
\(296\) | −7.24707 | − | 5.51566i | −0.421227 | − | 0.320591i | ||||
\(297\) | −17.2444 | + | 1.66120i | −1.00062 | + | 0.0963925i | ||||
\(298\) | −9.76426 | + | 3.09276i | −0.565629 | + | 0.179159i | ||||
\(299\) | 45.6176 | − | 26.3374i | 2.63814 | − | 1.52313i | ||||
\(300\) | 15.8674 | − | 6.94450i | 0.916104 | − | 0.400941i | ||||
\(301\) | 3.48468 | + | 2.01188i | 0.200854 | + | 0.115963i | ||||
\(302\) | −18.7197 | − | 4.12429i | −1.07720 | − | 0.237326i | ||||
\(303\) | 3.54176 | − | 24.6824i | 0.203469 | − | 1.41797i | ||||
\(304\) | −3.38481 | − | 18.6237i | −0.194132 | − | 1.06814i | ||||
\(305\) | 3.77518 | − | 6.11879i | 0.216166 | − | 0.350361i | ||||
\(306\) | 1.20577 | − | 2.19724i | 0.0689291 | − | 0.125608i | ||||
\(307\) | −27.3968 | −1.56362 | −0.781808 | − | 0.623519i | \(-0.785702\pi\) | ||||
−0.781808 | + | 0.623519i | \(0.785702\pi\) | |||||||
\(308\) | −11.2097 | − | 5.19136i | −0.638730 | − | 0.295805i | ||||
\(309\) | 13.1973 | − | 5.28768i | 0.750769 | − | 0.300805i | ||||
\(310\) | −12.6035 | − | 12.2130i | −0.715831 | − | 0.693654i | ||||
\(311\) | 2.27190 | − | 3.93505i | 0.128828 | − | 0.223136i | −0.794395 | − | 0.607402i | \(-0.792212\pi\) |
0.923223 | + | 0.384265i | \(0.125545\pi\) | |||||||
\(312\) | 8.43188 | − | 30.5282i | 0.477361 | − | 1.72832i | ||||
\(313\) | 15.7733 | − | 9.10673i | 0.891561 | − | 0.514743i | 0.0171079 | − | 0.999854i | \(-0.494554\pi\) |
0.874453 | + | 0.485111i | \(0.161221\pi\) | |||||||
\(314\) | −1.36037 | − | 4.29488i | −0.0767704 | − | 0.242374i | ||||
\(315\) | 11.8191 | + | 3.84151i | 0.665932 | + | 0.216445i | ||||
\(316\) | −1.97302 | + | 1.38926i | −0.110991 | + | 0.0781520i | ||||
\(317\) | −3.94082 | − | 6.82570i | −0.221338 | − | 0.383369i | 0.733876 | − | 0.679283i | \(-0.237709\pi\) |
−0.955215 | + | 0.295914i | \(0.904376\pi\) | |||||||
\(318\) | 2.56380 | + | 15.4709i | 0.143771 | + | 0.867566i | ||||
\(319\) | −0.261132 | + | 0.452294i | −0.0146206 | + | 0.0253236i | ||||
\(320\) | 12.3764 | + | 12.9161i | 0.691860 | + | 0.722031i | ||||
\(321\) | −18.6904 | + | 23.7805i | −1.04320 | + | 1.32730i | ||||
\(322\) | −14.4014 | + | 15.7579i | −0.802559 | + | 0.878151i | ||||
\(323\) | 2.79555 | 0.155548 | ||||||||
\(324\) | 9.66798 | + | 15.1832i | 0.537110 | + | 0.843512i | ||||
\(325\) | 14.4999 | + | 28.8896i | 0.804311 | + | 1.60251i | ||||
\(326\) | −13.7747 | + | 15.0721i | −0.762910 | + | 0.834768i | ||||
\(327\) | 21.9368 | + | 17.2414i | 1.21311 | + | 0.953451i | ||||
\(328\) | −4.84776 | + | 2.03041i | −0.267673 | + | 0.112111i | ||||
\(329\) | −8.90697 | + | 15.4273i | −0.491057 | + | 0.850536i | ||||
\(330\) | 16.8998 | + | 6.91886i | 0.930305 | + | 0.380871i | ||||
\(331\) | 3.80014 | − | 2.19401i | 0.208874 | − | 0.120594i | −0.391914 | − | 0.920002i | \(-0.628187\pi\) |
0.600788 | + | 0.799408i | \(0.294854\pi\) | |||||||
\(332\) | 6.93677 | − | 4.88438i | 0.380705 | − | 0.268065i | ||||
\(333\) | 2.28260 | + | 9.38616i | 0.125086 | + | 0.514358i | ||||
\(334\) | −16.2204 | + | 5.13769i | −0.887540 | + | 0.281122i | ||||
\(335\) | −0.435671 | + | 14.9092i | −0.0238033 | + | 0.814577i | ||||
\(336\) | 0.478186 | + | 12.8264i | 0.0260872 | + | 0.699738i | ||||
\(337\) | −9.50739 | − | 5.48909i | −0.517900 | − | 0.299010i | 0.218175 | − | 0.975910i | \(-0.429990\pi\) |
−0.736075 | + | 0.676900i | \(0.763323\pi\) | |||||||
\(338\) | 39.7677 | + | 8.76152i | 2.16308 | + | 0.476564i | ||||
\(339\) | −6.72320 | + | 2.69374i | −0.365154 | + | 0.146304i | ||||
\(340\) | −2.20364 | + | 1.45727i | −0.119509 | + | 0.0790315i | ||||
\(341\) | − | 18.5034i | − | 1.00201i | ||||||
\(342\) | −9.65882 | + | 17.6010i | −0.522289 | + | 0.951753i | ||||
\(343\) | − | 19.5781i | − | 1.05712i | ||||||
\(344\) | 0.777846 | − | 6.09371i | 0.0419386 | − | 0.328551i | ||||
\(345\) | 20.2164 | − | 24.2304i | 1.08841 | − | 1.30452i | ||||
\(346\) | −15.0466 | − | 3.31503i | −0.808911 | − | 0.178217i | ||||
\(347\) | −1.19627 | + | 2.07199i | −0.0642189 | + | 0.111230i | −0.896347 | − | 0.443353i | \(-0.853789\pi\) |
0.832128 | + | 0.554583i | \(0.187122\pi\) | |||||||
\(348\) | 0.541886 | + | 0.0285449i | 0.0290481 | + | 0.00153017i | ||||
\(349\) | −17.7287 | + | 10.2357i | −0.948995 | + | 0.547903i | −0.892769 | − | 0.450515i | \(-0.851240\pi\) |
−0.0562266 | + | 0.998418i | \(0.517907\pi\) | |||||||
\(350\) | −9.13739 | − | 9.38712i | −0.488414 | − | 0.501763i | ||||
\(351\) | −27.3472 | + | 19.5084i | −1.45969 | + | 1.04128i | ||||
\(352\) | −0.698957 | + | 18.8472i | −0.0372545 | + | 1.00456i | ||||
\(353\) | −22.2359 | + | 12.8379i | −1.18350 | + | 0.683293i | −0.956821 | − | 0.290677i | \(-0.906119\pi\) |
−0.226677 | + | 0.973970i | \(0.572786\pi\) | |||||||
\(354\) | 1.66731 | − | 4.43802i | 0.0886167 | − | 0.235878i | ||||
\(355\) | 4.33357 | − | 2.33595i | 0.230002 | − | 0.123979i | ||||
\(356\) | −2.21184 | − | 24.5391i | −0.117227 | − | 1.30057i | ||||
\(357\) | −1.87639 | − | 0.269250i | −0.0993093 | − | 0.0142502i | ||||
\(358\) | 0.379513 | + | 0.346844i | 0.0200579 | + | 0.0183313i | ||||
\(359\) | −13.8514 | −0.731051 | −0.365525 | − | 0.930801i | \(-0.619111\pi\) | ||||
−0.365525 | + | 0.930801i | \(0.619111\pi\) | |||||||
\(360\) | −1.56134 | − | 18.9093i | −0.0822900 | − | 0.996608i | ||||
\(361\) | −3.39378 | −0.178620 | ||||||||
\(362\) | −3.20464 | − | 2.92878i | −0.168432 | − | 0.153933i | ||||
\(363\) | 0.0746118 | + | 0.186221i | 0.00391611 | + | 0.00977406i | ||||
\(364\) | −23.8571 | + | 2.15037i | −1.25045 | + | 0.112710i | ||||
\(365\) | 16.2298 | + | 30.1090i | 0.849507 | + | 1.57598i | ||||
\(366\) | −5.00008 | − | 6.08516i | −0.261358 | − | 0.318076i | ||||
\(367\) | 16.1398 | − | 9.31834i | 0.842493 | − | 0.486414i | −0.0156178 | − | 0.999878i | \(-0.504972\pi\) |
0.858111 | + | 0.513464i | \(0.171638\pi\) | |||||||
\(368\) | 30.6840 | + | 10.9859i | 1.59952 | + | 0.572681i | ||||
\(369\) | 5.34967 | + | 1.56756i | 0.278493 | + | 0.0816041i | ||||
\(370\) | 2.48030 | − | 9.87554i | 0.128945 | − | 0.513405i | ||||
\(371\) | 10.2717 | − | 5.93034i | 0.533278 | − | 0.307888i | ||||
\(372\) | −17.1321 | + | 8.72345i | −0.888259 | + | 0.452290i | ||||
\(373\) | −10.8701 | + | 18.8276i | −0.562834 | + | 0.974858i | 0.434413 | + | 0.900714i | \(0.356956\pi\) |
−0.997248 | + | 0.0741441i | \(0.976378\pi\) | |||||||
\(374\) | −2.72017 | − | 0.599301i | −0.140657 | − | 0.0309891i | ||||
\(375\) | 14.1194 | + | 13.2531i | 0.729121 | + | 0.684385i | ||||
\(376\) | 26.9780 | + | 3.44367i | 1.39128 | + | 0.177594i | ||||
\(377\) | 1.01269i | 0.0521564i | ||||||||
\(378\) | 8.17830 | − | 10.8837i | 0.420647 | − | 0.559795i | ||||
\(379\) | 26.5083i | 1.36164i | 0.732450 | + | 0.680821i | \(0.238377\pi\) | ||||
−0.732450 | + | 0.680821i | \(0.761623\pi\) | |||||||
\(380\) | 17.6523 | − | 11.6735i | 0.905546 | − | 0.598837i | ||||
\(381\) | −1.61237 | − | 1.26725i | −0.0826042 | − | 0.0649234i | ||||
\(382\) | 25.1459 | + | 5.54008i | 1.28658 | + | 0.283455i | ||||
\(383\) | −9.17444 | − | 5.29687i | −0.468792 | − | 0.270657i | 0.246942 | − | 0.969030i | \(-0.420574\pi\) |
−0.715734 | + | 0.698373i | \(0.753908\pi\) | |||||||
\(384\) | 17.7800 | − | 8.23841i | 0.907332 | − | 0.420414i | ||||
\(385\) | 0.403424 | − | 13.8056i | 0.0205604 | − | 0.703601i | ||||
\(386\) | −30.5286 | + | 9.66971i | −1.55386 | + | 0.492175i | ||||
\(387\) | −4.71319 | + | 4.49904i | −0.239585 | + | 0.228699i | ||||
\(388\) | −16.0157 | − | 22.7454i | −0.813074 | − | 1.15472i | ||||
\(389\) | −28.8599 | + | 16.6623i | −1.46326 | + | 0.844811i | −0.999160 | − | 0.0409742i | \(-0.986954\pi\) |
−0.464095 | + | 0.885785i | \(0.653621\pi\) | |||||||
\(390\) | 35.0872 | − | 4.76618i | 1.77671 | − | 0.241345i | ||||
\(391\) | −2.40667 | + | 4.16847i | −0.121710 | + | 0.210809i | ||||
\(392\) | −9.30783 | + | 3.89845i | −0.470116 | + | 0.196902i | ||||
\(393\) | 11.4303 | − | 4.57968i | 0.576580 | − | 0.231014i | ||||
\(394\) | 11.6467 | − | 12.7436i | 0.586750 | − | 0.642016i | ||||
\(395\) | −2.29604 | − | 1.41661i | −0.115526 | − | 0.0712775i | ||||
\(396\) | 13.1716 | − | 15.0558i | 0.661900 | − | 0.756583i | ||||
\(397\) | −20.1614 | −1.01187 | −0.505936 | − | 0.862571i | \(-0.668853\pi\) | ||||
−0.505936 | + | 0.862571i | \(0.668853\pi\) | |||||||
\(398\) | 14.2465 | − | 15.5884i | 0.714113 | − | 0.781375i | ||||
\(399\) | 15.0309 | + | 2.15684i | 0.752486 | + | 0.107977i | ||||
\(400\) | −7.82962 | + | 18.4037i | −0.391481 | + | 0.920186i | ||||
\(401\) | 1.93691 | − | 3.35482i | 0.0967246 | − | 0.167532i | −0.813602 | − | 0.581422i | \(-0.802497\pi\) |
0.910327 | + | 0.413890i | \(0.135830\pi\) | |||||||
\(402\) | 15.2954 | + | 5.74630i | 0.762865 | + | 0.286599i | ||||
\(403\) | −17.9394 | − | 31.0720i | −0.893627 | − | 1.54781i | ||||
\(404\) | 16.5767 | + | 23.5421i | 0.824721 | + | 1.17127i | ||||
\(405\) | −11.3515 | + | 16.6176i | −0.564061 | + | 0.825733i | ||||
\(406\) | −0.123927 | − | 0.391255i | −0.00615040 | − | 0.0194176i | ||||
\(407\) | 9.29705 | − | 5.36765i | 0.460837 | − | 0.266065i | ||||
\(408\) | 0.727542 | + | 2.80112i | 0.0360187 | + | 0.138676i | ||||
\(409\) | 15.0600 | − | 26.0847i | 0.744671 | − | 1.28981i | −0.205678 | − | 0.978620i | \(-0.565940\pi\) |
0.950348 | − | 0.311188i | \(-0.100727\pi\) | |||||||
\(410\) | −4.21992 | − | 4.08918i | −0.208407 | − | 0.201950i | ||||
\(411\) | 0.956569 | − | 6.66629i | 0.0471841 | − | 0.328824i | ||||
\(412\) | −6.89886 | + | 14.8967i | −0.339882 | + | 0.733906i | ||||
\(413\) | −3.58567 | −0.176439 | ||||||||
\(414\) | −17.9298 | − | 29.5550i | −0.881204 | − | 1.45255i | ||||
\(415\) | 8.07243 | + | 4.98054i | 0.396260 | + | 0.244485i | ||||
\(416\) | 17.0991 | + | 32.3271i | 0.838352 | + | 1.58497i | ||||
\(417\) | −5.04605 | + | 2.02177i | −0.247106 | + | 0.0990064i | ||||
\(418\) | 21.7900 | + | 4.80072i | 1.06578 | + | 0.234811i | ||||
\(419\) | −23.7922 | − | 13.7364i | −1.16232 | − | 0.671067i | −0.210463 | − | 0.977602i | \(-0.567497\pi\) |
−0.951860 | + | 0.306534i | \(0.900831\pi\) | |||||||
\(420\) | −12.9727 | + | 6.13518i | −0.633004 | + | 0.299366i | ||||
\(421\) | 0.0412004 | − | 0.0237870i | 0.00200798 | − | 0.00115931i | −0.498996 | − | 0.866604i | \(-0.666298\pi\) |
0.501004 | + | 0.865445i | \(0.332964\pi\) | |||||||
\(422\) | 8.65521 | − | 2.74148i | 0.421329 | − | 0.133453i | ||||
\(423\) | −19.9181 | − | 20.8662i | −0.968451 | − | 1.01455i | ||||
\(424\) | −14.4093 | − | 10.9667i | −0.699777 | − | 0.532592i | ||||
\(425\) | −2.46741 | − | 1.62372i | −0.119687 | − | 0.0787621i | ||||
\(426\) | −0.881679 | − | 5.32038i | −0.0427175 | − | 0.257773i | ||||
\(427\) | −2.97839 | + | 5.15872i | −0.144134 | + | 0.249648i | ||||
\(428\) | −3.13531 | − | 34.7845i | −0.151551 | − | 1.68137i | ||||
\(429\) | 29.3520 | + | 23.0694i | 1.41713 | + | 1.11380i | ||||
\(430\) | 6.60544 | − | 1.88179i | 0.318542 | − | 0.0907478i | ||||
\(431\) | −6.98377 | −0.336396 | −0.168198 | − | 0.985753i | \(-0.553795\pi\) | ||||
−0.168198 | + | 0.985753i | \(0.553795\pi\) | |||||||
\(432\) | −20.1498 | − | 5.09742i | −0.969460 | − | 0.245250i | ||||
\(433\) | − | 13.4813i | − | 0.647869i | −0.946080 | − | 0.323934i | \(-0.894994\pi\) | ||
0.946080 | − | 0.323934i | \(-0.105006\pi\) | |||||||
\(434\) | 10.7333 | + | 9.80938i | 0.515216 | + | 0.470865i | ||||
\(435\) | 0.209094 | + | 0.569516i | 0.0100253 | + | 0.0273062i | ||||
\(436\) | −32.0877 | + | 2.89223i | −1.53672 | + | 0.138513i | ||||
\(437\) | 19.2787 | − | 33.3916i | 0.922224 | − | 1.59734i | ||||
\(438\) | 36.9652 | − | 6.12578i | 1.76627 | − | 0.292701i | ||||
\(439\) | 2.35018 | + | 4.07064i | 0.112168 | + | 0.194281i | 0.916644 | − | 0.399704i | \(-0.130887\pi\) |
−0.804476 | + | 0.593985i | \(0.797554\pi\) | |||||||
\(440\) | −19.6789 | + | 7.57448i | −0.938156 | + | 0.361099i | ||||
\(441\) | 10.2715 | + | 3.00977i | 0.489120 | + | 0.143322i | ||||
\(442\) | −5.14892 | + | 1.63088i | −0.244909 | + | 0.0775732i | ||||
\(443\) | 4.10464 | + | 7.10944i | 0.195017 | + | 0.337780i | 0.946906 | − | 0.321510i | \(-0.104190\pi\) |
−0.751889 | + | 0.659290i | \(0.770857\pi\) | |||||||
\(444\) | −9.35298 | − | 6.07746i | −0.443873 | − | 0.288424i | ||||
\(445\) | 24.2483 | − | 13.0707i | 1.14948 | − | 0.619610i | ||||
\(446\) | 7.11609 | − | 32.2992i | 0.336957 | − | 1.52941i | ||||
\(447\) | −11.6444 | + | 4.66549i | −0.550762 | + | 0.220670i | ||||
\(448\) | −10.5622 | − | 10.3971i | −0.499019 | − | 0.491217i | ||||
\(449\) | −35.1881 | −1.66063 | −0.830314 | − | 0.557297i | \(-0.811839\pi\) | ||||
−0.830314 | + | 0.557297i | \(0.811839\pi\) | |||||||
\(450\) | 18.7482 | − | 9.92497i | 0.883799 | − | 0.467867i | ||||
\(451\) | − | 6.19532i | − | 0.291726i | ||||||
\(452\) | 3.51454 | − | 7.58892i | 0.165310 | − | 0.356953i | ||||
\(453\) | −23.2387 | − | 3.33461i | −1.09185 | − | 0.156673i | ||||
\(454\) | 32.0763 | + | 7.06698i | 1.50542 | + | 0.331670i | ||||
\(455\) | −12.7074 | − | 23.5744i | −0.595734 | − | 1.10519i | ||||
\(456\) | −5.82800 | − | 22.4385i | −0.272921 | − | 1.05078i | ||||
\(457\) | −30.6355 | + | 17.6874i | −1.43307 | + | 0.827383i | −0.997354 | − | 0.0727007i | \(-0.976838\pi\) |
−0.435716 | + | 0.900084i | \(0.643505\pi\) | |||||||
\(458\) | −10.1073 | + | 3.20143i | −0.472285 | + | 0.149593i | ||||
\(459\) | 1.27283 | − | 2.79329i | 0.0594106 | − | 0.130380i | ||||
\(460\) | 2.20969 | + | 36.3713i | 0.103027 | + | 1.69582i | ||||
\(461\) | 13.7003 | − | 7.90989i | 0.638088 | − | 0.368400i | −0.145790 | − | 0.989316i | \(-0.546572\pi\) |
0.783878 | + | 0.620915i | \(0.213239\pi\) | |||||||
\(462\) | −14.1632 | − | 5.32097i | −0.658934 | − | 0.247554i | ||||
\(463\) | −5.52455 | − | 3.18960i | −0.256748 | − | 0.148233i | 0.366102 | − | 0.930575i | \(-0.380692\pi\) |
−0.622850 | + | 0.782341i | \(0.714025\pi\) | |||||||
\(464\) | −0.477869 | + | 0.405276i | −0.0221845 | + | 0.0188144i | ||||
\(465\) | −16.5043 | − | 13.7702i | −0.765368 | − | 0.638578i | ||||
\(466\) | −20.4332 | − | 18.6743i | −0.946550 | − | 0.865070i | ||||
\(467\) | −24.9649 | −1.15524 | −0.577618 | − | 0.816307i | \(-0.696018\pi\) | ||||
−0.577618 | + | 0.816307i | \(0.696018\pi\) | |||||||
\(468\) | 7.52171 | − | 38.0529i | 0.347691 | − | 1.75899i | ||||
\(469\) | − | 12.3578i | − | 0.570630i | ||||||
\(470\) | 8.33101 | + | 29.2435i | 0.384281 | + | 1.34890i | ||||
\(471\) | −2.05215 | − | 5.12188i | −0.0945581 | − | 0.236004i | ||||
\(472\) | 2.11483 | + | 5.04930i | 0.0973429 | + | 0.232413i | ||||
\(473\) | 6.27116 | + | 3.62065i | 0.288348 | + | 0.166478i | ||||
\(474\) | −2.28342 | + | 1.87625i | −0.104881 | + | 0.0861789i | ||||
\(475\) | 19.7653 | + | 13.0069i | 0.906893 | + | 0.596796i | ||||
\(476\) | 1.78971 | − | 1.26019i | 0.0820312 | − | 0.0577605i | ||||
\(477\) | 4.53848 | + | 18.6624i | 0.207803 | + | 0.854494i | ||||
\(478\) | 2.13776 | + | 6.74921i | 0.0977791 | + | 0.308702i | ||||
\(479\) | −1.38572 | − | 2.40013i | −0.0633150 | − | 0.109665i | 0.832630 | − | 0.553829i | \(-0.186834\pi\) |
−0.895945 | + | 0.444164i | \(0.853501\pi\) | |||||||
\(480\) | 16.2908 | + | 14.6495i | 0.743571 | + | 0.668657i | ||||
\(481\) | 10.4081 | − | 18.0274i | 0.474570 | − | 0.821979i | ||||
\(482\) | −15.8277 | − | 3.48712i | −0.720933 | − | 0.158834i | ||||
\(483\) | −16.1561 | + | 20.5559i | −0.735127 | + | 0.935327i | ||||
\(484\) | −0.210199 | − | 0.0973464i | −0.00955452 | − | 0.00442484i | ||||
\(485\) | 16.3310 | − | 26.4692i | 0.741553 | − | 1.20191i | ||||
\(486\) | 13.1891 | + | 17.6649i | 0.598269 | + | 0.801295i | ||||
\(487\) | 20.8545i | 0.945008i | 0.881329 | + | 0.472504i | \(0.156650\pi\) | ||||
−0.881329 | + | 0.472504i | \(0.843350\pi\) | |||||||
\(488\) | 9.02112 | + | 1.15152i | 0.408367 | + | 0.0521270i | ||||
\(489\) | −15.4530 | + | 19.6614i | −0.698810 | + | 0.889119i | ||||
\(490\) | −8.10237 | − | 7.85135i | −0.366028 | − | 0.354688i | ||||
\(491\) | −32.5679 | − | 18.8031i | −1.46977 | − | 0.848571i | −0.470343 | − | 0.882484i | \(-0.655870\pi\) |
−0.999425 | + | 0.0339131i | \(0.989203\pi\) | |||||||
\(492\) | −5.73620 | + | 2.92080i | −0.258608 | + | 0.131680i | ||||
\(493\) | −0.0462692 | − | 0.0801406i | −0.00208386 | − | 0.00360935i | ||||
\(494\) | 41.2455 | − | 13.0642i | 1.85572 | − | 0.587787i | ||||
\(495\) | 21.2701 | + | 6.91333i | 0.956021 | + | 0.310731i | ||||
\(496\) | 7.48296 | − | 20.9001i | 0.335995 | − | 0.938444i | ||||
\(497\) | −3.53238 | + | 2.03942i | −0.158449 | + | 0.0914804i | ||||
\(498\) | 8.02806 | − | 6.59653i | 0.359746 | − | 0.295597i | ||||
\(499\) | 26.4715 | + | 15.2833i | 1.18503 | + | 0.684175i | 0.957172 | − | 0.289520i | \(-0.0934958\pi\) |
0.227854 | + | 0.973695i | \(0.426829\pi\) | |||||||
\(500\) | −22.3606 | + | 0.0503652i | −0.999997 | + | 0.00225240i | ||||
\(501\) | −19.3437 | + | 7.75031i | −0.864212 | + | 0.346258i | ||||
\(502\) | −5.43474 | − | 4.96691i | −0.242564 | − | 0.221684i | ||||
\(503\) | 20.6381i | 0.920208i | 0.887865 | + | 0.460104i | \(0.152188\pi\) | ||||
−0.887865 | + | 0.460104i | \(0.847812\pi\) | |||||||
\(504\) | 1.75066 | + | 15.6222i | 0.0779805 | + | 0.695869i | ||||
\(505\) | −16.9030 | + | 27.3964i | −0.752175 | + | 1.21912i | ||||
\(506\) | −25.9173 | + | 28.3584i | −1.15216 | + | 1.26068i | ||||
\(507\) | 49.3677 | + | 7.08394i | 2.19249 | + | 0.314609i | ||||
\(508\) | 2.35847 | − | 0.212581i | 0.104640 | − | 0.00943177i | ||||
\(509\) | 1.15035 | + | 0.664155i | 0.0509884 | + | 0.0294381i | 0.525277 | − | 0.850931i | \(-0.323962\pi\) |
−0.474289 | + | 0.880369i | \(0.657295\pi\) | |||||||
\(510\) | −2.55890 | + | 1.98029i | −0.113310 | + | 0.0876885i | ||||
\(511\) | −14.1696 | − | 24.5424i | −0.626825 | − | 1.08569i | ||||
\(512\) | −8.41151 | + | 21.0059i | −0.371740 | + | 0.928337i | ||||
\(513\) | −10.1960 | + | 22.3757i | −0.450166 | + | 0.987912i | ||||
\(514\) | −13.4455 | + | 4.25877i | −0.593056 | + | 0.187846i | ||||
\(515\) | −18.3465 | − | 0.536114i | −0.808443 | − | 0.0236240i | ||||
\(516\) | 0.395782 | − | 7.51338i | 0.0174233 | − | 0.330758i | ||||
\(517\) | −16.0293 | + | 27.7636i | −0.704968 | + | 1.22104i | ||||
\(518\) | −1.81510 | + | 8.23858i | −0.0797511 | + | 0.361982i | ||||
\(519\) | −18.6789 | − | 2.68030i | −0.819913 | − | 0.117652i | ||||
\(520\) | −25.7025 | + | 31.7987i | −1.12713 | + | 1.39447i | ||||
\(521\) | 0.811244 | 0.0355412 | 0.0177706 | − | 0.999842i | \(-0.494343\pi\) | ||||
0.0177706 | + | 0.999842i | \(0.494343\pi\) | |||||||
\(522\) | 0.664436 | − | 0.0144233i | 0.0290816 | − | 0.000631289i | ||||
\(523\) | 30.4237 | 1.33034 | 0.665169 | − | 0.746693i | \(-0.268360\pi\) | ||||
0.665169 | + | 0.746693i | \(0.268360\pi\) | |||||||
\(524\) | −5.97513 | + | 12.9021i | −0.261025 | + | 0.563629i | ||||
\(525\) | −12.0139 | − | 10.6340i | −0.524328 | − | 0.464106i | ||||
\(526\) | −3.59636 | + | 16.3235i | −0.156809 | + | 0.711740i | ||||
\(527\) | 2.83931 | + | 1.63928i | 0.123682 | + | 0.0714081i | ||||
\(528\) | 0.860560 | + | 23.0829i | 0.0374511 | + | 1.00455i | ||||
\(529\) | 21.6938 | + | 37.5747i | 0.943207 | + | 1.63368i | ||||
\(530\) | 4.93156 | − | 19.6354i | 0.214213 | − | 0.852909i | ||||
\(531\) | 1.63274 | − | 5.57209i | 0.0708547 | − | 0.241808i | ||||
\(532\) | −14.3365 | + | 10.0947i | −0.621567 | + | 0.437663i | ||||
\(533\) | −6.00651 | − | 10.4036i | −0.260171 | − | 0.450629i | ||||
\(534\) | −4.93340 | − | 29.7700i | −0.213489 | − | 1.28827i | ||||
\(535\) | 34.3723 | − | 18.5279i | 1.48605 | − | 0.801030i | ||||
\(536\) | −17.4021 | + | 7.28864i | −0.751658 | + | 0.314821i | ||||
\(537\) | 0.495070 | + | 0.389104i | 0.0213639 | + | 0.0167911i | ||||
\(538\) | −16.8906 | − | 15.4366i | −0.728205 | − | 0.665520i | ||||
\(539\) | − | 11.8952i | − | 0.512362i | ||||||
\(540\) | −3.62685 | − | 22.9531i | −0.156075 | − | 0.987745i | ||||
\(541\) | − | 11.9797i | − | 0.515048i | −0.966272 | − | 0.257524i | \(-0.917093\pi\) | ||
0.966272 | − | 0.257524i | \(-0.0829067\pi\) | |||||||
\(542\) | −19.1855 | + | 20.9925i | −0.824086 | + | 0.901706i | ||||
\(543\) | −4.18041 | − | 3.28563i | −0.179399 | − | 0.141000i | ||||
\(544\) | −2.83015 | − | 1.77700i | −0.121342 | − | 0.0761881i | ||||
\(545\) | −17.0914 | − | 31.7075i | −0.732116 | − | 1.35820i | ||||
\(546\) | −28.9426 | + | 4.79629i | −1.23863 | + | 0.205262i | ||||
\(547\) | −4.69681 | − | 8.13511i | −0.200821 | − | 0.347832i | 0.747972 | − | 0.663730i | \(-0.231028\pi\) |
−0.948793 | + | 0.315898i | \(0.897694\pi\) | |||||||
\(548\) | 4.47708 | + | 6.35833i | 0.191251 | + | 0.271614i | ||||
\(549\) | −6.66038 | − | 6.97741i | −0.284258 | − | 0.297789i | ||||
\(550\) | −16.4440 | − | 16.8934i | −0.701173 | − | 0.720337i | ||||
\(551\) | 0.370640 | + | 0.641968i | 0.0157898 | + | 0.0273488i | ||||
\(552\) | 38.4756 | + | 10.6270i | 1.63763 | + | 0.452313i | ||||
\(553\) | 1.93578 | + | 1.11762i | 0.0823176 | + | 0.0475261i | ||||
\(554\) | −3.50576 | − | 0.772381i | −0.148946 | − | 0.0328153i | ||||
\(555\) | 2.13112 | − | 12.2872i | 0.0904612 | − | 0.521563i | ||||
\(556\) | 2.63781 | − | 5.69581i | 0.111868 | − | 0.241556i | ||||
\(557\) | −8.56289 | −0.362821 | −0.181411 | − | 0.983407i | \(-0.558066\pi\) | ||||
−0.181411 | + | 0.983407i | \(0.558066\pi\) | |||||||
\(558\) | −20.1311 | + | 12.2127i | −0.852217 | + | 0.517007i | ||||
\(559\) | 14.0412 | 0.593881 | ||||||||
\(560\) | 6.03883 | − | 15.4308i | 0.255187 | − | 0.652069i | ||||
\(561\) | −3.37682 | − | 0.484553i | −0.142570 | − | 0.0204578i | ||||
\(562\) | 10.6088 | + | 2.33731i | 0.447506 | + | 0.0985935i | ||||
\(563\) | −5.86483 | + | 10.1582i | −0.247173 | + | 0.428116i | −0.962740 | − | 0.270427i | \(-0.912835\pi\) |
0.715567 | + | 0.698544i | \(0.246168\pi\) | |||||||
\(564\) | 33.2631 | + | 1.75220i | 1.40063 | + | 0.0737809i | ||||
\(565\) | 9.34639 | + | 0.273117i | 0.393205 | + | 0.0114901i | ||||
\(566\) | 1.66953 | + | 5.27092i | 0.0701755 | + | 0.221553i | ||||
\(567\) | 8.99876 | − | 14.0368i | 0.377912 | − | 0.589488i | ||||
\(568\) | 4.95529 | + | 3.77141i | 0.207919 | + | 0.158245i | ||||
\(569\) | 19.7153 | + | 34.1479i | 0.826509 | + | 1.43156i | 0.900761 | + | 0.434316i | \(0.143010\pi\) |
−0.0742514 | + | 0.997240i | \(0.523657\pi\) | |||||||
\(570\) | 20.4982 | − | 15.8631i | 0.858573 | − | 0.664433i | ||||
\(571\) | 7.92266 | + | 4.57415i | 0.331553 | + | 0.191422i | 0.656530 | − | 0.754300i | \(-0.272023\pi\) |
−0.324977 | + | 0.945722i | \(0.605357\pi\) | |||||||
\(572\) | −42.9341 | + | 3.86988i | −1.79517 | + | 0.161808i | ||||
\(573\) | 31.2162 | + | 4.47932i | 1.30407 | + | 0.187126i | ||||
\(574\) | 3.59374 | + | 3.28439i | 0.150000 | + | 0.137088i | ||||
\(575\) | −36.4105 | + | 18.2747i | −1.51842 | + | 0.762107i | ||||
\(576\) | 20.9665 | − | 11.6793i | 0.873605 | − | 0.486636i | ||||
\(577\) | − | 20.4943i | − | 0.853190i | −0.904443 | − | 0.426595i | \(-0.859713\pi\) | ||
0.904443 | − | 0.426595i | \(-0.140287\pi\) | |||||||
\(578\) | −15.8861 | + | 17.3823i | −0.660773 | + | 0.723010i | ||||
\(579\) | −36.4070 | + | 14.5869i | −1.51302 | + | 0.606212i | ||||
\(580\) | −0.626812 | − | 0.312836i | −0.0260269 | − | 0.0129898i | ||||
\(581\) | −6.80582 | − | 3.92934i | −0.282353 | − | 0.163017i | ||||
\(582\) | −21.6298 | − | 26.3237i | −0.896583 | − | 1.09115i | ||||
\(583\) | 18.4852 | − | 10.6725i | 0.765580 | − | 0.442008i | ||||
\(584\) | −26.2032 | + | 34.4286i | −1.08430 | + | 1.42467i | ||||
\(585\) | 42.4208 | − | 9.01257i | 1.75388 | − | 0.372624i | ||||
\(586\) | −0.588693 | − | 1.85858i | −0.0243187 | − | 0.0767773i | ||||
\(587\) | −12.1463 | − | 21.0379i | −0.501330 | − | 0.868329i | −0.999999 | − | 0.00153627i | \(-0.999511\pi\) |
0.498669 | − | 0.866793i | \(-0.333822\pi\) | |||||||
\(588\) | −11.0137 | + | 5.60801i | −0.454196 | + | 0.231271i | ||||
\(589\) | −22.7444 | − | 13.1315i | −0.937166 | − | 0.541073i | ||||
\(590\) | −4.25919 | + | 4.39537i | −0.175348 | + | 0.180954i | ||||
\(591\) | 13.0657 | − | 16.6239i | 0.537451 | − | 0.683817i | ||||
\(592\) | 12.6720 | − | 2.30311i | 0.520818 | − | 0.0946572i | ||||
\(593\) | 6.89686i | 0.283220i | 0.989923 | + | 0.141610i | \(0.0452279\pi\) | ||||
−0.989923 | + | 0.141610i | \(0.954772\pi\) | |||||||
\(594\) | 14.7180 | − | 19.5866i | 0.603886 | − | 0.803649i | ||||
\(595\) | 2.08271 | + | 1.28500i | 0.0853830 | + | 0.0526797i | ||||
\(596\) | 6.08709 | − | 13.1438i | 0.249337 | − | 0.538391i | ||||
\(597\) | 15.9823 | − | 20.3349i | 0.654113 | − | 0.832250i | ||||
\(598\) | −16.0278 | + | 72.7486i | −0.655425 | + | 2.97491i | ||||
\(599\) | −1.81418 | + | 3.14225i | −0.0741254 | + | 0.128389i | −0.900706 | − | 0.434430i | \(-0.856950\pi\) |
0.826580 | + | 0.562819i | \(0.190283\pi\) | |||||||
\(600\) | −7.88891 | + | 23.1898i | −0.322063 | + | 0.946718i | ||||
\(601\) | 0.432510 | + | 0.749129i | 0.0176424 | + | 0.0305576i | 0.874712 | − | 0.484643i | \(-0.161051\pi\) |
−0.857069 | + | 0.515201i | \(0.827717\pi\) | |||||||
\(602\) | −5.42484 | + | 1.71828i | −0.221100 | + | 0.0700318i | ||||
\(603\) | 19.2039 | + | 5.62713i | 0.782042 | + | 0.229155i | ||||
\(604\) | 22.1652 | − | 15.6071i | 0.901888 | − | 0.635044i | ||||
\(605\) | 0.00756485 | − | 0.258878i | 0.000307555 | − | 0.0105249i | ||||
\(606\) | 22.3874 | + | 27.2458i | 0.909426 | + | 1.10678i | ||||
\(607\) | −2.81348 | − | 1.62436i | −0.114196 | − | 0.0659309i | 0.441814 | − | 0.897107i | \(-0.354335\pi\) |
−0.556010 | + | 0.831176i | \(0.687668\pi\) | |||||||
\(608\) | 22.6710 | + | 14.2347i | 0.919431 | + | 0.577292i | ||||
\(609\) | −0.186946 | − | 0.466592i | −0.00757545 | − | 0.0189073i | ||||
\(610\) | 2.78579 | + | 9.77868i | 0.112793 | + | 0.395927i | ||||
\(611\) | 62.1631i | 2.51485i | ||||||||
\(612\) | 1.14337 | + | 3.35502i | 0.0462179 | + | 0.135619i | ||||
\(613\) | −13.7010 | −0.553380 | −0.276690 | − | 0.960959i | \(-0.589238\pi\) | ||||
−0.276690 | + | 0.960959i | \(0.589238\pi\) | |||||||
\(614\) | 26.1381 | − | 28.6001i | 1.05485 | − | 1.15420i | ||||
\(615\) | −5.52598 | − | 4.61056i | −0.222829 | − | 0.185916i | ||||
\(616\) | 16.1141 | − | 6.74914i | 0.649254 | − | 0.271931i | ||||
\(617\) | 13.1108 | + | 7.56954i | 0.527822 | + | 0.304738i | 0.740129 | − | 0.672465i | \(-0.234764\pi\) |
−0.212307 | + | 0.977203i | \(0.568098\pi\) | |||||||
\(618\) | −7.07109 | + | 18.8217i | −0.284441 | + | 0.757120i | ||||
\(619\) | −7.93920 | + | 4.58370i | −0.319103 | + | 0.184234i | −0.650993 | − | 0.759084i | \(-0.725647\pi\) |
0.331889 | + | 0.943318i | \(0.392314\pi\) | |||||||
\(620\) | 24.7739 | − | 1.50511i | 0.994945 | − | 0.0604465i | ||||
\(621\) | −24.5870 | − | 34.4665i | −0.986643 | − | 1.38309i | ||||
\(622\) | 1.94035 | + | 6.12596i | 0.0778011 | + | 0.245629i | ||||
\(623\) | −19.7653 | + | 11.4115i | −0.791878 | + | 0.457191i | ||||
\(624\) | 23.8245 | + | 37.9279i | 0.953743 | + | 1.51833i | ||||
\(625\) | −9.89056 | − | 22.9603i | −0.395622 | − | 0.918413i | ||||
\(626\) | −5.54197 | + | 25.1545i | −0.221502 | + | 1.00537i | ||||
\(627\) | 27.0501 | + | 3.88152i | 1.08028 | + | 0.155013i | ||||
\(628\) | 5.78140 | + | 2.67745i | 0.230703 | + | 0.106842i | ||||
\(629\) | 1.90216i | 0.0758440i | ||||||||
\(630\) | −15.2864 | + | 8.67320i | −0.609024 | + | 0.345549i | ||||
\(631\) | 26.2470 | 1.04488 | 0.522439 | − | 0.852677i | \(-0.325022\pi\) | ||||
0.522439 | + | 0.852677i | \(0.325022\pi\) | |||||||
\(632\) | 0.432101 | − | 3.38512i | 0.0171881 | − | 0.134653i | ||||
\(633\) | 10.3218 | − | 4.13557i | 0.410255 | − | 0.164374i | ||||
\(634\) | 10.8853 | + | 2.39822i | 0.432309 | + | 0.0952453i | ||||
\(635\) | 1.25623 | + | 2.33052i | 0.0498520 | + | 0.0924840i | ||||
\(636\) | −18.5964 | − | 12.0838i | −0.737397 | − | 0.479153i | ||||
\(637\) | −11.5327 | − | 19.9752i | −0.456941 | − | 0.791445i | ||||
\(638\) | −0.223024 | − | 0.704116i | −0.00882960 | − | 0.0278762i | ||||
\(639\) | −1.56076 | − | 6.41792i | −0.0617428 | − | 0.253889i | ||||
\(640\) | −25.2912 | + | 0.597252i | −0.999721 | + | 0.0236085i | ||||
\(641\) | −20.3809 | − | 35.3008i | −0.804998 | − | 1.39430i | −0.916292 | − | 0.400510i | \(-0.868833\pi\) |
0.111294 | − | 0.993788i | \(-0.464500\pi\) | |||||||
\(642\) | −6.99316 | − | 42.1993i | −0.275998 | − | 1.66547i | ||||
\(643\) | −15.9839 | + | 27.6850i | −0.630345 | + | 1.09179i | 0.357137 | + | 0.934052i | \(0.383753\pi\) |
−0.987481 | + | 0.157737i | \(0.949580\pi\) | |||||||
\(644\) | −2.71018 | − | 30.0679i | −0.106796 | − | 1.18484i | ||||
\(645\) | 7.89648 | − | 2.89914i | 0.310923 | − | 0.114153i | ||||
\(646\) | −2.66712 | + | 2.91833i | −0.104936 | + | 0.114820i | ||||
\(647\) | 31.4488i | 1.23638i | 0.786029 | + | 0.618190i | \(0.212134\pi\) | ||||
−0.786029 | + | 0.618190i | \(0.787866\pi\) | |||||||
\(648\) | −25.0739 | − | 4.39308i | −0.984996 | − | 0.172577i | ||||
\(649\) | −6.45289 | −0.253298 | ||||||||
\(650\) | −43.9923 | − | 12.4257i | −1.72552 | − | 0.487374i | ||||
\(651\) | 14.0015 | + | 11.0046i | 0.548761 | + | 0.431303i | ||||
\(652\) | −2.59224 | − | 28.7594i | −0.101520 | − | 1.12630i | ||||
\(653\) | −4.85136 | + | 8.40281i | −0.189849 | + | 0.328827i | −0.945200 | − | 0.326493i | \(-0.894133\pi\) |
0.755351 | + | 0.655320i | \(0.227466\pi\) | |||||||
\(654\) | −38.9276 | + | 6.45099i | −1.52219 | + | 0.252253i | ||||
\(655\) | −15.8900 | − | 0.464331i | −0.620873 | − | 0.0181429i | ||||
\(656\) | 2.50545 | − | 6.99781i | 0.0978215 | − | 0.273219i | ||||
\(657\) | 44.5908 | − | 10.8439i | 1.73965 | − | 0.423063i | ||||
\(658\) | −7.60714 | − | 24.0168i | −0.296557 | − | 0.936271i | ||||
\(659\) | 17.1787 | − | 9.91816i | 0.669189 | − | 0.386356i | −0.126580 | − | 0.991956i | \(-0.540400\pi\) |
0.795769 | + | 0.605600i | \(0.207067\pi\) | |||||||
\(660\) | −23.3462 | + | 11.0411i | −0.908749 | + | 0.429773i | ||||
\(661\) | 34.2332 | + | 19.7646i | 1.33152 | + | 0.768753i | 0.985532 | − | 0.169487i | \(-0.0542110\pi\) |
0.345986 | + | 0.938240i | \(0.387544\pi\) | |||||||
\(662\) | −1.33518 | + | 6.06026i | −0.0518933 | + | 0.235539i | ||||
\(663\) | −6.14036 | + | 2.46022i | −0.238472 | + | 0.0955469i | ||||
\(664\) | −1.51919 | + | 11.9014i | −0.0589559 | + | 0.461865i | ||||
\(665\) | −16.6836 | − | 10.2935i | −0.646964 | − | 0.399164i | ||||
\(666\) | −11.9761 | − | 6.57209i | −0.464066 | − | 0.254663i | ||||
\(667\) | −1.27633 | −0.0494196 | ||||||||
\(668\) | 10.1119 | − | 21.8345i | 0.391240 | − | 0.844801i | ||||
\(669\) | 5.75357 | − | 40.0963i | 0.222446 | − | 1.55021i | ||||
\(670\) | −15.1484 | − | 14.6791i | −0.585233 | − | 0.567102i | ||||
\(671\) | −5.36001 | + | 9.28381i | −0.206921 | + | 0.358398i | ||||
\(672\) | −13.8460 | − | 11.7380i | −0.534120 | − | 0.452802i | ||||
\(673\) | −13.7903 | + | 7.96182i | −0.531576 | + | 0.306905i | −0.741658 | − | 0.670778i | \(-0.765960\pi\) |
0.210082 | + | 0.977684i | \(0.432627\pi\) | |||||||
\(674\) | 14.8008 | − | 4.68804i | 0.570105 | − | 0.180577i | ||||
\(675\) | 21.9956 | − | 13.8272i | 0.846612 | − | 0.532210i | ||||
\(676\) | −47.0870 | + | 33.1553i | −1.81104 | + | 1.27520i | ||||
\(677\) | 2.57113 | + | 4.45333i | 0.0988166 | + | 0.171155i | 0.911195 | − | 0.411975i | \(-0.135161\pi\) |
−0.812379 | + | 0.583130i | \(0.801828\pi\) | |||||||
\(678\) | 3.60228 | − | 9.58848i | 0.138345 | − | 0.368243i | ||||
\(679\) | −12.8842 | + | 22.3161i | −0.494449 | + | 0.856411i | ||||
\(680\) | 0.581132 | − | 3.69075i | 0.0222854 | − | 0.141534i | ||||
\(681\) | 39.8196 | + | 5.71386i | 1.52589 | + | 0.218956i | ||||
\(682\) | 19.3161 | + | 17.6533i | 0.739650 | + | 0.675980i | ||||
\(683\) | 32.5301 | 1.24473 | 0.622364 | − | 0.782728i | \(-0.286172\pi\) | ||||
0.622364 | + | 0.782728i | \(0.286172\pi\) | |||||||
\(684\) | −9.15898 | − | 26.8754i | −0.350202 | − | 1.02761i | ||||
\(685\) | −4.56522 | + | 7.39929i | −0.174428 | + | 0.282712i | ||||
\(686\) | 20.4380 | + | 18.6787i | 0.780327 | + | 0.713155i | ||||
\(687\) | −12.0535 | + | 4.82941i | −0.459871 | + | 0.184254i | ||||
\(688\) | 5.61924 | + | 6.62577i | 0.214231 | + | 0.252605i | ||||
\(689\) | 20.6944 | − | 35.8437i | 0.788393 | − | 1.36554i | ||||
\(690\) | 6.00696 | + | 44.2215i | 0.228681 | + | 1.68348i | ||||
\(691\) | −21.0875 | + | 12.1749i | −0.802207 | + | 0.463154i | −0.844242 | − | 0.535962i | \(-0.819949\pi\) |
0.0420353 | + | 0.999116i | \(0.486616\pi\) | |||||||
\(692\) | 17.8160 | − | 12.5447i | 0.677263 | − | 0.476880i | ||||
\(693\) | −17.7824 | − | 5.21062i | −0.675499 | − | 0.197935i | ||||
\(694\) | −1.02169 | − | 3.22561i | −0.0387828 | − | 0.122442i | ||||
\(695\) | 7.01486 | + | 0.204986i | 0.266089 | + | 0.00777556i | ||||
\(696\) | −0.546790 | + | 0.538453i | −0.0207260 | + | 0.0204100i | ||||
\(697\) | 0.950663 | + | 0.548865i | 0.0360089 | + | 0.0207898i | ||||
\(698\) | 6.22899 | − | 28.2728i | 0.235771 | − | 1.07014i | ||||
\(699\) | −26.6549 | − | 20.9496i | −1.00818 | − | 0.792386i | ||||
\(700\) | 18.5170 | − | 0.582844i | 0.699878 | − | 0.0220294i | ||||
\(701\) | − | 29.3780i | − | 1.10959i | −0.831987 | − | 0.554796i | \(-0.812796\pi\) | ||
0.831987 | − | 0.554796i | \(-0.187204\pi\) | |||||||
\(702\) | 5.72566 | − | 47.1605i | 0.216101 | − | 1.77996i | ||||
\(703\) | − | 15.2373i | − | 0.574685i | ||||||
\(704\) | −19.0082 | − | 18.7110i | −0.716397 | − | 0.705198i | ||||
\(705\) | 12.8350 | + | 34.9592i | 0.483395 | + | 1.31664i | ||||
\(706\) | 7.81261 | − | 35.4607i | 0.294031 | − | 1.33458i | ||||
\(707\) | 13.3355 | − | 23.0977i | 0.501532 | − | 0.868679i | ||||
\(708\) | 3.04223 | + | 5.97468i | 0.114334 | + | 0.224542i | ||||
\(709\) | 12.2117 | − | 7.05045i | 0.458622 | − | 0.264785i | −0.252843 | − | 0.967507i | \(-0.581366\pi\) |
0.711464 | + | 0.702722i | \(0.248032\pi\) | |||||||
\(710\) | −1.69594 | + | 6.75254i | −0.0636476 | + | 0.253418i | ||||
\(711\) | −2.61823 | + | 2.49927i | −0.0981912 | + | 0.0937298i | ||||
\(712\) | 27.7271 | + | 21.1028i | 1.03912 | + | 0.790859i | ||||
\(713\) | 39.1610 | − | 22.6096i | 1.46659 | − | 0.846737i | ||||
\(714\) | 2.07127 | − | 1.70193i | 0.0775152 | − | 0.0636930i | ||||
\(715\) | −22.8688 | − | 42.4254i | −0.855243 | − | 1.58662i | ||||
\(716\) | −0.724156 | + | 0.0652720i | −0.0270630 | + | 0.00243933i | ||||
\(717\) | 3.22486 | + | 8.04880i | 0.120435 | + | 0.300588i | ||||
\(718\) | 13.2151 | − | 14.4598i | 0.493183 | − | 0.539635i | ||||
\(719\) | 45.4953 | 1.69669 | 0.848345 | − | 0.529444i | \(-0.177600\pi\) | ||||
0.848345 | + | 0.529444i | \(0.177600\pi\) | |||||||
\(720\) | 21.2294 | + | 16.4107i | 0.791175 | + | 0.611590i | ||||
\(721\) | 15.2069 | 0.566333 | ||||||||
\(722\) | 3.23787 | − | 3.54284i | 0.120501 | − | 0.131851i | ||||
\(723\) | −19.6486 | − | 2.81944i | −0.730738 | − | 0.104856i | ||||
\(724\) | 6.11483 | − | 0.551162i | 0.227256 | − | 0.0204838i | ||||
\(725\) | 0.0457355 | − | 0.781893i | 0.00169857 | − | 0.0290388i | ||||
\(726\) | −0.265584 | − | 0.0997767i | −0.00985674 | − | 0.00370306i | ||||
\(727\) | 13.8164 | − | 7.97688i | 0.512420 | − | 0.295846i | −0.221408 | − | 0.975181i | \(-0.571065\pi\) |
0.733828 | + | 0.679335i | \(0.237732\pi\) | |||||||
\(728\) | 20.5163 | − | 26.9565i | 0.760384 | − | 0.999076i | ||||
\(729\) | 17.7154 | + | 20.3756i | 0.656125 | + | 0.754653i | ||||
\(730\) | −46.9156 | − | 11.7832i | −1.73643 | − | 0.436114i | ||||
\(731\) | −1.11117 | + | 0.641533i | −0.0410980 | + | 0.0237280i | ||||
\(732\) | 11.1228 | + | 0.585915i | 0.411110 | + | 0.0216561i | ||||
\(733\) | 17.2293 | − | 29.8421i | 0.636380 | − | 1.10224i | −0.349841 | − | 0.936809i | \(-0.613764\pi\) |
0.986221 | − | 0.165434i | \(-0.0529023\pi\) | |||||||
\(734\) | −5.67075 | + | 25.7390i | −0.209311 | + | 0.950043i | ||||
\(735\) | −10.6100 | − | 8.85240i | −0.391357 | − | 0.326526i | ||||
\(736\) | −40.7428 | + | 21.5505i | −1.50180 | + | 0.794362i | ||||
\(737\) | − | 22.2395i | − | 0.819204i | ||||||
\(738\) | −6.74032 | + | 4.08909i | −0.248114 | + | 0.150521i | ||||
\(739\) | 16.8961i | 0.621532i | 0.950487 | + | 0.310766i | \(0.100585\pi\) | ||||
−0.950487 | + | 0.310766i | \(0.899415\pi\) | |||||||
\(740\) | 7.94293 | + | 12.0111i | 0.291988 | + | 0.441536i | ||||
\(741\) | 49.1875 | − | 19.7076i | 1.80695 | − | 0.723978i | ||||
\(742\) | −3.60896 | + | 16.3807i | −0.132489 | + | 0.601354i | ||||
\(743\) | −17.4220 | − | 10.0586i | −0.639152 | − | 0.369015i | 0.145136 | − | 0.989412i | \(-0.453638\pi\) |
−0.784288 | + | 0.620397i | \(0.786971\pi\) | |||||||
\(744\) | 7.23845 | − | 26.2073i | 0.265374 | − | 0.960805i | ||||
\(745\) | 16.1877 | + | 0.473031i | 0.593071 | + | 0.0173305i | ||||
\(746\) | −9.28381 | − | 29.3102i | −0.339904 | − | 1.07312i | ||||
\(747\) | 9.20519 | − | 8.78694i | 0.336800 | − | 0.321497i | ||||
\(748\) | 3.22083 | − | 2.26787i | 0.117765 | − | 0.0829217i | ||||
\(749\) | −28.0175 | + | 16.1759i | −1.02374 | + | 0.591055i | ||||
\(750\) | −27.3059 | + | 2.09531i | −0.997069 | + | 0.0765100i | ||||
\(751\) | −4.26382 | + | 7.38515i | −0.155589 | + | 0.269488i | −0.933273 | − | 0.359167i | \(-0.883061\pi\) |
0.777684 | + | 0.628655i | \(0.216394\pi\) | |||||||
\(752\) | −29.3335 | + | 24.8774i | −1.06968 | + | 0.907186i | ||||
\(753\) | −7.08955 | − | 5.57209i | −0.258358 | − | 0.203058i | ||||
\(754\) | −1.05717 | − | 0.966169i | −0.0384999 | − | 0.0351858i | ||||
\(755\) | 25.7940 | + | 15.9144i | 0.938738 | + | 0.579184i | ||||
\(756\) | 3.55910 | + | 18.9212i | 0.129443 | + | 0.688156i | ||||
\(757\) | 30.3158 | 1.10185 | 0.550924 | − | 0.834556i | \(-0.314276\pi\) | ||||
0.550924 | + | 0.834556i | \(0.314276\pi\) | |||||||
\(758\) | −27.6726 | − | 25.2905i | −1.00511 | − | 0.918593i | ||||
\(759\) | −29.0751 | + | 36.9932i | −1.05536 | + | 1.34277i | ||||
\(760\) | −4.65517 | + | 29.5649i | −0.168861 | + | 1.07243i | ||||
\(761\) | −20.0870 | + | 34.7918i | −0.728154 | + | 1.26120i | 0.229508 | + | 0.973307i | \(0.426288\pi\) |
−0.957662 | + | 0.287894i | \(0.907045\pi\) | |||||||
\(762\) | 2.86121 | − | 0.474152i | 0.103651 | − | 0.0171767i | ||||
\(763\) | 14.9218 | + | 25.8453i | 0.540206 | + | 0.935664i | ||||
\(764\) | −29.7741 | + | 20.9648i | −1.07719 | + | 0.758479i | ||||
\(765\) | −2.94523 | + | 2.65139i | −0.106485 | + | 0.0958613i | ||||
\(766\) | 14.2825 | − | 4.52387i | 0.516047 | − | 0.163454i | ||||
\(767\) | −10.8361 | + | 6.25623i | −0.391269 | + | 0.225899i | ||||
\(768\) | −8.36293 | + | 26.4209i | −0.301771 | + | 0.953380i | ||||
\(769\) | −18.9297 | + | 32.7872i | −0.682623 | + | 1.18234i | 0.291554 | + | 0.956554i | \(0.405828\pi\) |
−0.974177 | + | 0.225784i | \(0.927506\pi\) | |||||||
\(770\) | 14.0271 | + | 13.5925i | 0.505502 | + | 0.489841i | ||||
\(771\) | −16.0345 | + | 6.42443i | −0.577468 | + | 0.231370i | ||||
\(772\) | 19.0317 | − | 41.0949i | 0.684964 | − | 1.47904i | ||||
\(773\) | −11.8902 | −0.427662 | −0.213831 | − | 0.976871i | \(-0.568594\pi\) | ||||
−0.213831 | + | 0.976871i | \(0.568594\pi\) | |||||||
\(774\) | −0.199982 | − | 9.21256i | −0.00718820 | − | 0.331139i | ||||
\(775\) | 12.4476 | + | 24.8007i | 0.447132 | + | 0.890866i | ||||
\(776\) | 39.0244 | + | 4.98136i | 1.40089 | + | 0.178820i | ||||
\(777\) | −1.46756 | + | 10.2274i | −0.0526486 | + | 0.366905i | ||||
\(778\) | 10.1400 | − | 46.0243i | 0.363535 | − | 1.65005i | ||||
\(779\) | −7.61531 | − | 4.39670i | −0.272847 | − | 0.157528i | ||||
\(780\) | −28.4998 | + | 41.1755i | −1.02046 | + | 1.47432i | ||||
\(781\) | −6.35699 | + | 3.67021i | −0.227471 | + | 0.131330i | ||||
\(782\) | −2.05545 | − | 6.48934i | −0.0735028 | − | 0.232058i | ||||
\(783\) | 0.810206 | − | 0.0780495i | 0.0289544 | − | 0.00278926i | ||||
\(784\) | 4.81054 | − | 13.4360i | 0.171805 | − | 0.479857i | ||||
\(785\) | −0.208066 | + | 7.12028i | −0.00742620 | + | 0.254134i | ||||
\(786\) | −6.12431 | + | 16.3016i | −0.218447 | + | 0.581458i | ||||
\(787\) | −3.21964 | + | 5.57658i | −0.114768 | + | 0.198784i | −0.917687 | − | 0.397304i | \(-0.869946\pi\) |
0.802919 | + | 0.596088i | \(0.203279\pi\) | |||||||
\(788\) | 2.19176 | + | 24.3164i | 0.0780784 | + | 0.866235i | ||||
\(789\) | −2.90776 | + | 20.2641i | −0.103519 | + | 0.721419i | ||||
\(790\) | 3.66939 | − | 1.04535i | 0.130551 | − | 0.0371919i | ||||
\(791\) | −7.74694 | −0.275450 | ||||||||
\(792\) | 3.15055 | + | 28.1143i | 0.111950 | + | 0.998998i | ||||
\(793\) | 20.7866i | 0.738155i | ||||||||
\(794\) | 19.2352 | − | 21.0469i | 0.682630 | − | 0.746927i | ||||
\(795\) | 4.23730 | − | 24.4306i | 0.150281 | − | 0.866462i | ||||
\(796\) | 2.68103 | + | 29.7445i | 0.0950265 | + | 1.05426i | ||||
\(797\) | 15.1379 | − | 26.2197i | 0.536213 | − | 0.928748i | −0.462891 | − | 0.886415i | \(-0.653188\pi\) |
0.999104 | − | 0.0423326i | \(-0.0134789\pi\) | |||||||
\(798\) | −16.5919 | + | 13.6333i | −0.587348 | + | 0.482614i | ||||
\(799\) | −2.84019 | − | 4.91935i | −0.100479 | − | 0.174034i | ||||
\(800\) | −11.7421 | − | 25.7317i | −0.415146 | − | 0.909755i | ||||
\(801\) | −8.73318 | − | 35.9112i | −0.308572 | − | 1.26886i | ||||
\(802\) | 1.65425 | + | 5.22268i | 0.0584135 | + | 0.184419i | ||||
\(803\) | −25.5001 | − | 44.1674i | −0.899878 | − | 1.55863i | ||||
\(804\) | −20.5914 | + | 10.4849i | −0.726202 | + | 0.369773i | ||||
\(805\) | 29.7116 | − | 16.0156i | 1.04720 | − | 0.564475i | ||||
\(806\) | 49.5520 | + | 10.9172i | 1.74540 | + | 0.384541i | ||||
\(807\) | −22.0336 | − | 17.3174i | −0.775618 | − | 0.609603i | ||||
\(808\) | −40.3913 | − | 5.15584i | −1.42096 | − | 0.181382i | ||||
\(809\) | 3.79502 | 0.133426 | 0.0667130 | − | 0.997772i | \(-0.478749\pi\) | ||||
0.0667130 | + | 0.997772i | \(0.478749\pi\) | |||||||
\(810\) | −6.51739 | − | 27.7042i | −0.228998 | − | 0.973427i | ||||
\(811\) | 25.9465i | 0.911105i | 0.890209 | + | 0.455552i | \(0.150558\pi\) | ||||
−0.890209 | + | 0.455552i | \(0.849442\pi\) | |||||||
\(812\) | 0.526673 | + | 0.243910i | 0.0184826 | + | 0.00855956i | ||||
\(813\) | −21.5230 | + | 27.3845i | −0.754846 | + | 0.960416i | ||||
\(814\) | −3.26653 | + | 14.8264i | −0.114492 | + | 0.519666i | ||||
\(815\) | 28.4186 | − | 15.3186i | 0.995461 | − | 0.536588i | ||||
\(816\) | −3.61827 | − | 1.91294i | −0.126665 | − | 0.0669663i | ||||
\(817\) | 8.90104 | − | 5.13902i | 0.311408 | − | 0.179791i | ||||
\(818\) | 12.8623 | + | 40.6079i | 0.449718 | + | 1.41982i | ||||
\(819\) | −34.9132 | + | 8.49048i | −1.21997 | + | 0.296681i | ||||
\(820\) | 8.29484 | − | 0.503942i | 0.289668 | − | 0.0175984i | ||||
\(821\) | 39.0578 | − | 22.5500i | 1.36313 | − | 0.787002i | 0.373089 | − | 0.927796i | \(-0.378299\pi\) |
0.990039 | + | 0.140794i | \(0.0449654\pi\) | |||||||
\(822\) | 6.04645 | + | 7.35861i | 0.210894 | + | 0.256661i | ||||
\(823\) | 36.8115 | + | 21.2532i | 1.28317 | + | 0.740838i | 0.977427 | − | 0.211276i | \(-0.0677617\pi\) |
0.305743 | + | 0.952114i | \(0.401095\pi\) | |||||||
\(824\) | −8.96902 | − | 21.4142i | −0.312450 | − | 0.745997i | ||||
\(825\) | −21.6206 | − | 19.1373i | −0.752732 | − | 0.666276i | ||||
\(826\) | 3.42094 | − | 3.74315i | 0.119030 | − | 0.130241i | ||||
\(827\) | 26.0006 | 0.904131 | 0.452065 | − | 0.891985i | \(-0.350687\pi\) | ||||
0.452065 | + | 0.891985i | \(0.350687\pi\) | |||||||
\(828\) | 47.9592 | + | 9.47984i | 1.66670 | + | 0.329447i | ||||
\(829\) | − | 31.5003i | − | 1.09405i | −0.837116 | − | 0.547025i | \(-0.815760\pi\) | ||
0.837116 | − | 0.547025i | \(-0.184240\pi\) | |||||||
\(830\) | −12.9009 | + | 3.67526i | −0.447796 | + | 0.127570i | ||||
\(831\) | −4.35206 | − | 0.624493i | −0.150971 | − | 0.0216634i | ||||
\(832\) | −50.0605 | − | 12.9919i | −1.73553 | − | 0.450412i | ||||
\(833\) | 1.82530 | + | 1.05384i | 0.0632429 | + | 0.0365133i | ||||
\(834\) | 2.70367 | − | 7.19657i | 0.0936203 | − | 0.249197i | ||||
\(835\) | 26.8910 | + | 0.785799i | 0.930601 | + | 0.0271937i | ||||
\(836\) | −25.8005 | + | 18.1669i | −0.892329 | + | 0.628314i | ||||
\(837\) | −23.4766 | + | 16.7472i | −0.811469 | + | 0.578868i | ||||
\(838\) | 37.0388 | − | 11.7318i | 1.27949 | − | 0.405268i | ||||
\(839\) | 28.7717 | + | 49.8341i | 0.993310 | + | 1.72046i | 0.596661 | + | 0.802493i | \(0.296494\pi\) |
0.396649 | + | 0.917971i | \(0.370173\pi\) | |||||||
\(840\) | 5.97210 | − | 19.3958i | 0.206057 | − | 0.669219i | ||||
\(841\) | −14.4877 | + | 25.0935i | −0.499577 | + | 0.865293i | ||||
\(842\) | −0.0144758 | + | 0.0657042i | −0.000498868 | + | 0.00226432i | ||||
\(843\) | 13.1698 | + | 1.88978i | 0.453592 | + | 0.0650876i | ||||
\(844\) | −5.39570 | + | 11.6509i | −0.185728 | + | 0.401040i | ||||
\(845\) | −54.7959 | − | 33.8081i | −1.88504 | − | 1.16303i | ||||
\(846\) | 40.7857 | − | 0.885357i | 1.40224 | − | 0.0304392i | ||||
\(847\) | 0.214576i | 0.00737293i | ||||||||
\(848\) | 25.1957 | − | 4.57925i | 0.865224 | − | 0.157252i | ||||
\(849\) | 2.51851 | + | 6.28586i | 0.0864351 | + | 0.215730i | ||||
\(850\) | 4.04910 | − | 1.02666i | 0.138883 | − | 0.0352140i | ||||
\(851\) | 22.7205 | + | 13.1177i | 0.778848 | + | 0.449668i | ||||
\(852\) | 6.39523 | + | 4.15555i | 0.219097 | + | 0.142367i | ||||
\(853\) | −21.6573 | − | 37.5115i | −0.741532 | − | 1.28437i | −0.951798 | − | 0.306726i | \(-0.900766\pi\) |
0.210266 | − | 0.977644i | \(-0.432567\pi\) | |||||||
\(854\) | −2.54374 | − | 8.03092i | −0.0870449 | − | 0.274813i | ||||
\(855\) | 23.5929 | − | 21.2390i | 0.806859 | − | 0.726360i | ||||
\(856\) | 39.3036 | + | 29.9135i | 1.34337 | + | 1.02242i | ||||
\(857\) | 46.1891 | − | 26.6673i | 1.57779 | − | 0.910938i | 0.582624 | − | 0.812742i | \(-0.302026\pi\) |
0.995167 | − | 0.0981959i | \(-0.0313072\pi\) | |||||||
\(858\) | −52.0862 | + | 8.63158i | −1.77819 | + | 0.294677i | ||||
\(859\) | 14.2097 | + | 8.20399i | 0.484830 | + | 0.279916i | 0.722427 | − | 0.691447i | \(-0.243027\pi\) |
−0.237597 | + | 0.971364i | \(0.576360\pi\) | |||||||
\(860\) | −4.33754 | + | 8.69089i | −0.147909 | + | 0.296357i | ||||
\(861\) | 4.68799 | + | 3.68456i | 0.159766 | + | 0.125570i | ||||
\(862\) | 6.66293 | − | 7.29051i | 0.226940 | − | 0.248316i | ||||
\(863\) | 29.1271i | 0.991499i | 0.868466 | + | 0.495750i | \(0.165107\pi\) | ||||
−0.868466 | + | 0.495750i | \(0.834893\pi\) | |||||||
\(864\) | 24.5454 | − | 16.1716i | 0.835053 | − | 0.550169i | ||||
\(865\) | 20.7328 | + | 12.7917i | 0.704935 | + | 0.434932i | ||||
\(866\) | 14.0734 | + | 12.8619i | 0.478233 | + | 0.437066i | ||||
\(867\) | −17.8216 | + | 22.6751i | −0.605254 | + | 0.770085i | ||||
\(868\) | −20.4804 | + | 1.84601i | −0.695151 | + | 0.0626577i | ||||
\(869\) | 3.48369 | + | 2.01131i | 0.118176 | + | 0.0682290i | ||||
\(870\) | −0.794018 | − | 0.325075i | −0.0269197 | − | 0.0110211i | ||||
\(871\) | −21.5617 | − | 37.3460i | −0.730592 | − | 1.26542i | ||||
\(872\) | 27.5943 | − | 36.2564i | 0.934460 | − | 1.22780i | ||||
\(873\) | −28.8121 | − | 30.1835i | −0.975141 | − | 1.02156i | ||||
\(874\) | 16.4652 | + | 51.9830i | 0.556945 | + | 1.75835i | ||||
\(875\) | 8.74664 | + | 18.7755i | 0.295691 | + | 0.634729i | ||||
\(876\) | −28.8722 | + | 44.4331i | −0.975500 | + | 1.50126i | ||||
\(877\) | −8.30152 | + | 14.3786i | −0.280322 | + | 0.485532i | −0.971464 | − | 0.237187i | \(-0.923775\pi\) |
0.691142 | + | 0.722719i | \(0.257108\pi\) | |||||||
\(878\) | −6.49164 | − | 1.43022i | −0.219082 | − | 0.0482676i | ||||
\(879\) | −0.888054 | − | 2.21646i | −0.0299533 | − | 0.0747593i | ||||
\(880\) | 10.8677 | − | 27.7698i | 0.366350 | − | 0.936118i | ||||
\(881\) | 22.4187 | 0.755305 | 0.377652 | − | 0.925947i | \(-0.376731\pi\) | ||||
0.377652 | + | 0.925947i | \(0.376731\pi\) | |||||||
\(882\) | −12.9416 | + | 7.85116i | −0.435766 | + | 0.264362i | ||||
\(883\) | −1.09932 | −0.0369951 | −0.0184976 | − | 0.999829i | \(-0.505888\pi\) | ||||
−0.0184976 | + | 0.999829i | \(0.505888\pi\) | |||||||
\(884\) | 3.20986 | − | 6.93102i | 0.107959 | − | 0.233116i | ||||
\(885\) | −4.80224 | + | 5.75573i | −0.161426 | + | 0.193477i | ||||
\(886\) | −11.3378 | − | 2.49791i | −0.380900 | − | 0.0839189i | ||||
\(887\) | −2.99508 | − | 1.72921i | −0.100565 | − | 0.0580612i | 0.448874 | − | 0.893595i | \(-0.351825\pi\) |
−0.549439 | + | 0.835534i | \(0.685159\pi\) | |||||||
\(888\) | 15.2677 | − | 3.96551i | 0.512350 | − | 0.133074i | ||||
\(889\) | −1.09676 | − | 1.89965i | −0.0367843 | − | 0.0637123i | ||||
\(890\) | −9.48957 | + | 37.7835i | −0.318091 | + | 1.26651i | ||||
\(891\) | 16.1945 | − | 25.2610i | 0.542536 | − | 0.846277i | ||||
\(892\) | 26.9287 | + | 38.2440i | 0.901639 | + | 1.28050i | ||||
\(893\) | 22.7514 | + | 39.4065i | 0.761346 | + | 1.31869i | ||||
\(894\) | 6.23905 | − | 16.6070i | 0.208665 | − | 0.555421i | ||||
\(895\) | −0.385720 | − | 0.715575i | −0.0128932 | − | 0.0239191i | ||||
\(896\) | 20.9308 | − | 1.10668i | 0.699248 | − | 0.0369714i | ||||
\(897\) | −12.9589 | + | 90.3103i | −0.432687 | + | 3.01537i | ||||
\(898\) | 33.5715 | − | 36.7336i | 1.12029 | − | 1.22581i | ||||
\(899\) | 0.869359i | 0.0289947i | ||||||||
\(900\) | −7.52601 | + | 29.0406i | −0.250867 | + | 0.968022i | ||||
\(901\) | 3.78204i | 0.125998i | ||||||||
\(902\) | 6.46743 | + | 5.91070i | 0.215342 | + | 0.196805i | ||||
\(903\) | −6.46941 | + | 2.59206i | −0.215289 | + | 0.0862582i | ||||
\(904\) | 4.56915 | + | 10.9092i | 0.151968 | + | 0.362834i | ||||
\(905\) | 3.25705 | + | 6.04238i | 0.108268 | + | 0.200855i | ||||
\(906\) | 25.6522 | − | 21.0780i | 0.852236 | − | 0.700269i | ||||
\(907\) | 16.7205 | + | 28.9607i | 0.555194 | + | 0.961625i | 0.997888 | + | 0.0649519i | \(0.0206894\pi\) |
−0.442694 | + | 0.896673i | \(0.645977\pi\) | |||||||
\(908\) | −37.9801 | + | 26.7429i | −1.26041 | + | 0.887493i | ||||
\(909\) | 29.8213 | + | 31.2407i | 0.989109 | + | 1.03619i | ||||
\(910\) | 36.7335 | + | 9.22584i | 1.21770 | + | 0.305834i | ||||
\(911\) | 4.97939 | + | 8.62456i | 0.164975 | + | 0.285745i | 0.936646 | − | 0.350277i | \(-0.113912\pi\) |
−0.771672 | + | 0.636021i | \(0.780579\pi\) | |||||||
\(912\) | 28.9843 | + | 15.3237i | 0.959764 | + | 0.507417i | ||||
\(913\) | −12.2480 | − | 7.07139i | −0.405350 | − | 0.234029i | ||||
\(914\) | 10.7638 | − | 48.8559i | 0.356036 | − | 1.61601i | ||||
\(915\) | 4.29188 | + | 11.6899i | 0.141885 | + | 0.386457i | ||||
\(916\) | 6.30096 | − | 13.6056i | 0.208190 | − | 0.449542i | ||||
\(917\) | 13.1707 | 0.434936 | ||||||||
\(918\) | 1.70162 | + | 3.99370i | 0.0561619 | + | 0.131812i | ||||
\(919\) | −26.5683 | −0.876408 | −0.438204 | − | 0.898875i | \(-0.644385\pi\) | ||||
−0.438204 | + | 0.898875i | \(0.644385\pi\) | |||||||
\(920\) | −40.0769 | − | 32.3936i | −1.32130 | − | 1.06798i | ||||
\(921\) | 29.3228 | − | 37.3084i | 0.966221 | − | 1.22936i | ||||
\(922\) | −4.81362 | + | 21.8486i | −0.158528 | + | 0.719544i | ||||
\(923\) | −7.11671 | + | 12.3265i | −0.234249 | + | 0.405732i | ||||
\(924\) | 19.0672 | − | 9.70880i | 0.627266 | − | 0.319396i | ||||
\(925\) | −8.85019 | + | 13.4488i | −0.290993 | + | 0.442193i | ||||
\(926\) | 8.60044 | − | 2.72413i | 0.282628 | − | 0.0895204i | ||||
\(927\) | −6.92445 | + | 23.6313i | −0.227429 | + | 0.776153i | ||||
\(928\) | 0.0328397 | − | 0.885515i | 0.00107801 | − | 0.0290684i | ||||
\(929\) | −29.4711 | − | 51.0454i | −0.966915 | − | 1.67475i | −0.704378 | − | 0.709825i | \(-0.748774\pi\) |
−0.262537 | − | 0.964922i | \(-0.584559\pi\) | |||||||
\(930\) | 30.1211 | − | 4.09158i | 0.987709 | − | 0.134168i | ||||
\(931\) | −14.6216 | − | 8.44179i | −0.479204 | − | 0.276668i | ||||
\(932\) | 38.9890 | − | 3.51428i | 1.27713 | − | 0.115114i | ||||
\(933\) | 2.92706 | + | 7.30554i | 0.0958276 | + | 0.239173i | ||||
\(934\) | 23.8180 | − | 26.0614i | 0.779348 | − | 0.852754i | ||||
\(935\) | 3.74813 | + | 2.31252i | 0.122577 | + | 0.0756276i | ||||
\(936\) | 32.5480 | + | 44.1568i | 1.06387 | + | 1.44331i | ||||
\(937\) | − | 35.6730i | − | 1.16538i | −0.812693 | − | 0.582692i | \(-0.801999\pi\) | ||
0.812693 | − | 0.582692i | \(-0.198001\pi\) | |||||||
\(938\) | 12.9006 | + | 11.7901i | 0.421218 | + | 0.384959i | ||||
\(939\) | −4.48084 | + | 31.2268i | −0.146227 | + | 1.01905i | ||||
\(940\) | −38.4762 | − | 19.2031i | −1.25495 | − | 0.626336i | ||||
\(941\) | 18.8543 | + | 10.8855i | 0.614632 | + | 0.354858i | 0.774776 | − | 0.632236i | \(-0.217863\pi\) |
−0.160144 | + | 0.987094i | \(0.551196\pi\) | |||||||
\(942\) | 7.30471 | + | 2.74429i | 0.238000 | + | 0.0894139i | ||||
\(943\) | 13.1119 | − | 7.57018i | 0.426983 | − | 0.246519i | ||||
\(944\) | −7.28875 | − | 2.60962i | −0.237228 | − | 0.0849358i | ||||
\(945\) | −17.8814 | + | 11.9835i | −0.581680 | + | 0.389823i | ||||
\(946\) | −9.76273 | + | 3.09228i | −0.317414 | + | 0.100539i | ||||
\(947\) | 16.9667 | + | 29.3872i | 0.551344 | + | 0.954955i | 0.998178 | + | 0.0603385i | \(0.0192180\pi\) |
−0.446834 | + | 0.894617i | \(0.647449\pi\) | |||||||
\(948\) | 0.219861 | − | 4.17376i | 0.00714075 | − | 0.135557i | ||||
\(949\) | −85.6426 | − | 49.4458i | −2.78008 | − | 1.60508i | ||||
\(950\) | −32.4354 | + | 8.22406i | −1.05234 | + | 0.266824i | ||||
\(951\) | 13.5130 | + | 1.93903i | 0.438189 | + | 0.0628773i | ||||
\(952\) | −0.391955 | + | 3.07061i | −0.0127033 | + | 0.0995190i | ||||
\(953\) | − | 29.8028i | − | 0.965408i | −0.875783 | − | 0.482704i | \(-0.839655\pi\) | ||
0.875783 | − | 0.482704i | \(-0.160345\pi\) | |||||||
\(954\) | −23.8121 | − | 13.0672i | −0.770945 | − | 0.423067i | ||||
\(955\) | −34.6486 | − | 21.3775i | −1.12120 | − | 0.691760i | ||||
\(956\) | −9.08520 | − | 4.20749i | −0.293836 | − | 0.136080i | ||||
\(957\) | −0.336435 | − | 0.839696i | −0.0108754 | − | 0.0271435i | ||||
\(958\) | 3.82760 | + | 0.843288i | 0.123664 | + | 0.0272454i | ||||
\(959\) | 3.60168 | − | 6.23829i | 0.116304 | − | 0.201445i | ||||
\(960\) | −30.8354 | + | 3.02981i | −0.995207 | + | 0.0977866i | ||||
\(961\) | 0.0996707 | + | 0.172635i | 0.00321518 | + | 0.00556886i | ||||
\(962\) | 8.88922 | + | 28.0645i | 0.286600 | + | 0.904835i | ||||
\(963\) | −12.3794 | − | 50.9046i | −0.398921 | − | 1.64038i | ||||
\(964\) | 18.7409 | − | 13.1960i | 0.603602 | − | 0.425013i | ||||
\(965\) | 50.6118 | + | 1.47896i | 1.62925 | + | 0.0476094i | ||||
\(966\) | −6.04491 | − | 36.4773i | −0.194492 | − | 1.17364i | ||||
\(967\) | −8.50028 | − | 4.90764i | −0.273351 | − | 0.157819i | 0.357059 | − | 0.934082i | \(-0.383780\pi\) |
−0.630409 | + | 0.776263i | \(0.717113\pi\) | |||||||
\(968\) | 0.302165 | − | 0.126557i | 0.00971194 | − | 0.00406771i | ||||
\(969\) | −2.99208 | + | 3.80692i | −0.0961195 | + | 0.122296i | ||||
\(970\) | 12.0510 | + | 42.3015i | 0.386935 | + | 1.35822i | ||||
\(971\) | 16.8674i | 0.541300i | 0.962678 | + | 0.270650i | \(0.0872386\pi\) | ||||
−0.962678 | + | 0.270650i | \(0.912761\pi\) | |||||||
\(972\) | −31.0239 | − | 3.08496i | −0.995092 | − | 0.0989503i | ||||
\(973\) | −5.81441 | −0.186402 | ||||||||
\(974\) | −21.7705 | − | 19.8964i | −0.697570 | − | 0.637523i | ||||
\(975\) | −54.8607 | − | 11.1749i | −1.75695 | − | 0.357884i | ||||
\(976\) | −9.80878 | + | 8.31872i | −0.313971 | + | 0.266276i | ||||
\(977\) | −24.3616 | − | 14.0652i | −0.779396 | − | 0.449984i | 0.0568205 | − | 0.998384i | \(-0.481904\pi\) |
−0.836216 | + | 0.548400i | \(0.815237\pi\) | |||||||
\(978\) | −5.78186 | − | 34.8899i | −0.184883 | − | 1.11566i | ||||
\(979\) | −35.5703 | + | 20.5365i | −1.13683 | + | 0.656349i | ||||
\(980\) | 15.9263 | − | 0.967582i | 0.508748 | − | 0.0309083i | ||||
\(981\) | −46.9580 | + | 11.4196i | −1.49925 | + | 0.364601i | ||||
\(982\) | 50.7006 | − | 16.0591i | 1.61792 | − | 0.512465i | ||||
\(983\) | −15.1286 | + | 8.73451i | −0.482528 | + | 0.278588i | −0.721469 | − | 0.692446i | \(-0.756533\pi\) |
0.238941 | + | 0.971034i | \(0.423200\pi\) | |||||||
\(984\) | 2.42359 | − | 8.77475i | 0.0772611 | − | 0.279729i | ||||
\(985\) | −24.0283 | + | 12.9521i | −0.765604 | + | 0.412687i | ||||
\(986\) | 0.127804 | + | 0.0281575i | 0.00407011 | + | 0.000896717i | ||||
\(987\) | −11.4755 | − | 28.6413i | −0.365269 | − | 0.911662i | ||||
\(988\) | −25.7126 | + | 55.5211i | −0.818028 | + | 1.76636i | ||||
\(989\) | 17.6966i | 0.562719i | ||||||||
\(990\) | −27.5099 | + | 15.6086i | −0.874323 | + | 0.496074i | ||||
\(991\) | −55.1709 | −1.75256 | −0.876280 | − | 0.481801i | \(-0.839983\pi\) | ||||
−0.876280 | + | 0.481801i | \(0.839983\pi\) | |||||||
\(992\) | 14.6789 | + | 27.7516i | 0.466056 | + | 0.881114i | ||||
\(993\) | −1.07953 | + | 7.52322i | −0.0342580 | + | 0.238742i | ||||
\(994\) | 1.24110 | − | 5.63325i | 0.0393654 | − | 0.178676i | ||||
\(995\) | −29.3920 | + | 15.8433i | −0.931790 | + | 0.502267i | ||||
\(996\) | −0.772989 | + | 14.6741i | −0.0244931 | + | 0.464968i | ||||
\(997\) | 12.3131 | + | 21.3268i | 0.389959 | + | 0.675428i | 0.992444 | − | 0.122702i | \(-0.0391560\pi\) |
−0.602485 | + | 0.798130i | \(0.705823\pi\) | |||||||
\(998\) | −41.2099 | + | 13.0529i | −1.30448 | + | 0.413184i | ||||
\(999\) | −15.2250 | − | 6.93763i | −0.481697 | − | 0.219497i |
(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 | 360.2.bk.a.229.18 | yes | 136 | |
5.4 | even | 2 | inner | 360.2.bk.a.229.51 | yes | 136 | |
8.5 | even | 2 | inner | 360.2.bk.a.229.5 | ✓ | 136 | |
9.7 | even | 3 | inner | 360.2.bk.a.349.64 | yes | 136 | |
40.29 | even | 2 | inner | 360.2.bk.a.229.64 | yes | 136 | |
45.34 | even | 6 | inner | 360.2.bk.a.349.5 | yes | 136 | |
72.61 | even | 6 | inner | 360.2.bk.a.349.51 | yes | 136 | |
360.349 | even | 6 | inner | 360.2.bk.a.349.18 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bk.a.229.5 | ✓ | 136 | 8.5 | even | 2 | inner | |
360.2.bk.a.229.18 | yes | 136 | 1.1 | even | 1 | trivial | |
360.2.bk.a.229.51 | yes | 136 | 5.4 | even | 2 | inner | |
360.2.bk.a.229.64 | yes | 136 | 40.29 | even | 2 | inner | |
360.2.bk.a.349.5 | yes | 136 | 45.34 | even | 6 | inner | |
360.2.bk.a.349.18 | yes | 136 | 360.349 | even | 6 | inner | |
360.2.bk.a.349.51 | yes | 136 | 72.61 | even | 6 | inner | |
360.2.bk.a.349.64 | yes | 136 | 9.7 | even | 3 | inner |