Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [572,2,Mod(79,572)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(572, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("572.79");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 572 = 2^{2} \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 572.y (of order \(10\), degree \(4\), 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: | \(4.56744299562\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(72\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 79.6 | ||
Character | \(\chi\) | \(=\) | 572.79 |
Dual form | 572.2.y.a.391.6 |
$q$-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 \(\left(\mathbb{Z}/572\mathbb{Z}\right)^\times\).
\(n\) | \(287\) | \(353\) | \(365\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36071 | − | 0.385317i | −0.962167 | − | 0.272460i | ||||
\(3\) | −0.235269 | − | 0.323820i | −0.135833 | − | 0.186958i | 0.735682 | − | 0.677327i | \(-0.236862\pi\) |
−0.871515 | + | 0.490370i | \(0.836862\pi\) | |||||||
\(4\) | 1.70306 | + | 1.04861i | 0.851531 | + | 0.524304i | ||||
\(5\) | 0.0217417 | + | 0.0669141i | 0.00972318 | + | 0.0299249i | 0.955800 | − | 0.294016i | \(-0.0949920\pi\) |
−0.946077 | + | 0.323941i | \(0.894992\pi\) | |||||||
\(6\) | 0.195360 | + | 0.531278i | 0.0797552 | + | 0.216893i | ||||
\(7\) | −2.49703 | − | 1.81420i | −0.943787 | − | 0.685701i | 0.00554218 | − | 0.999985i | \(-0.498236\pi\) |
−0.949329 | + | 0.314283i | \(0.898236\pi\) | |||||||
\(8\) | −1.91333 | − | 2.08307i | −0.676463 | − | 0.736476i | ||||
\(9\) | 0.877543 | − | 2.70080i | 0.292514 | − | 0.900267i | ||||
\(10\) | −0.00380103 | − | 0.0994281i | −0.00120199 | − | 0.0314419i | ||||
\(11\) | −0.283801 | + | 3.30446i | −0.0855692 | + | 0.996332i | ||||
\(12\) | −0.0611174 | − | 0.798191i | −0.0176431 | − | 0.230418i | ||||
\(13\) | −0.951057 | − | 0.309017i | −0.263776 | − | 0.0857059i | ||||
\(14\) | 2.69869 | + | 3.43074i | 0.721255 | + | 0.916904i | ||||
\(15\) | 0.0165530 | − | 0.0227832i | 0.00427396 | − | 0.00588260i | ||||
\(16\) | 1.80084 | + | 3.57169i | 0.450210 | + | 0.892923i | ||||
\(17\) | −1.74157 | + | 0.565869i | −0.422392 | + | 0.137243i | −0.512497 | − | 0.858689i | \(-0.671280\pi\) |
0.0901055 | + | 0.995932i | \(0.471280\pi\) | |||||||
\(18\) | −2.23474 | + | 3.33687i | −0.526734 | + | 0.786508i | ||||
\(19\) | −3.73244 | + | 2.71178i | −0.856281 | + | 0.622125i | −0.926871 | − | 0.375381i | \(-0.877512\pi\) |
0.0705894 | + | 0.997505i | \(0.477512\pi\) | |||||||
\(20\) | −0.0331392 | + | 0.136757i | −0.00741015 | + | 0.0305799i | ||||
\(21\) | 1.23541i | 0.269589i | ||||||||
\(22\) | 1.65943 | − | 4.38706i | 0.353793 | − | 0.935324i | ||||
\(23\) | − | 1.75026i | − | 0.364954i | −0.983210 | − | 0.182477i | \(-0.941589\pi\) | ||
0.983210 | − | 0.182477i | \(-0.0584115\pi\) | |||||||
\(24\) | −0.224393 | + | 1.10966i | −0.0458041 | + | 0.226507i | ||||
\(25\) | 4.04108 | − | 2.93602i | 0.808216 | − | 0.587203i | ||||
\(26\) | 1.17504 | + | 0.786940i | 0.230445 | + | 0.154332i | ||||
\(27\) | −2.22305 | + | 0.722313i | −0.427827 | + | 0.139009i | ||||
\(28\) | −2.35021 | − | 5.70809i | −0.444148 | − | 1.07873i | ||||
\(29\) | −3.74019 | + | 5.14793i | −0.694535 | + | 0.955946i | 0.305458 | + | 0.952206i | \(0.401191\pi\) |
−0.999993 | + | 0.00374023i | \(0.998809\pi\) | |||||||
\(30\) | −0.0313025 | + | 0.0246232i | −0.00571504 | + | 0.00449556i | ||||
\(31\) | −7.32699 | − | 2.38068i | −1.31597 | − | 0.427583i | −0.434859 | − | 0.900499i | \(-0.643202\pi\) |
−0.881108 | + | 0.472915i | \(0.843202\pi\) | |||||||
\(32\) | −1.07419 | − | 5.55393i | −0.189892 | − | 0.981805i | ||||
\(33\) | 1.13682 | − | 0.685537i | 0.197895 | − | 0.119337i | ||||
\(34\) | 2.58780 | − | 0.0989291i | 0.443805 | − | 0.0169662i | ||||
\(35\) | 0.0671056 | − | 0.206530i | 0.0113429 | − | 0.0349099i | ||||
\(36\) | 4.32659 | − | 3.67943i | 0.721099 | − | 0.613238i | ||||
\(37\) | −3.72207 | − | 2.70424i | −0.611905 | − | 0.444575i | 0.238180 | − | 0.971221i | \(-0.423449\pi\) |
−0.850085 | + | 0.526646i | \(0.823449\pi\) | |||||||
\(38\) | 6.12367 | − | 2.25177i | 0.993390 | − | 0.365286i | ||||
\(39\) | 0.123688 | + | 0.380673i | 0.0198060 | + | 0.0609565i | ||||
\(40\) | 0.0977877 | − | 0.173318i | 0.0154616 | − | 0.0274040i | ||||
\(41\) | 1.07998 | + | 1.48647i | 0.168665 | + | 0.232147i | 0.884979 | − | 0.465630i | \(-0.154172\pi\) |
−0.716314 | + | 0.697778i | \(0.754172\pi\) | |||||||
\(42\) | 0.476025 | − | 1.68104i | 0.0734522 | − | 0.259389i | ||||
\(43\) | −7.83360 | −1.19461 | −0.597307 | − | 0.802013i | \(-0.703762\pi\) | ||||
−0.597307 | + | 0.802013i | \(0.703762\pi\) | |||||||
\(44\) | −3.94842 | + | 5.33010i | −0.595246 | + | 0.803544i | ||||
\(45\) | 0.199801 | 0.0297845 | ||||||||
\(46\) | −0.674403 | + | 2.38159i | −0.0994353 | + | 0.351147i | ||||
\(47\) | 1.63751 | + | 2.25384i | 0.238856 | + | 0.328757i | 0.911569 | − | 0.411146i | \(-0.134871\pi\) |
−0.672714 | + | 0.739903i | \(0.734871\pi\) | |||||||
\(48\) | 0.732903 | − | 1.42346i | 0.105785 | − | 0.205458i | ||||
\(49\) | 0.780714 | + | 2.40279i | 0.111531 | + | 0.343256i | ||||
\(50\) | −6.63003 | + | 2.43797i | −0.937628 | + | 0.344781i | ||||
\(51\) | 0.592976 | + | 0.430823i | 0.0830333 | + | 0.0603272i | ||||
\(52\) | −1.29567 | − | 1.52356i | −0.179677 | − | 0.211280i | ||||
\(53\) | 0.233829 | − | 0.719652i | 0.0321189 | − | 0.0988518i | −0.933712 | − | 0.358025i | \(-0.883450\pi\) |
0.965831 | + | 0.259174i | \(0.0834501\pi\) | |||||||
\(54\) | 3.30325 | − | 0.126280i | 0.449515 | − | 0.0171845i | ||||
\(55\) | −0.227285 | + | 0.0528543i | −0.0306471 | + | 0.00712687i | ||||
\(56\) | 0.998531 | + | 8.67263i | 0.133434 | + | 1.15893i | ||||
\(57\) | 1.75626 | + | 0.570643i | 0.232622 | + | 0.0755834i | ||||
\(58\) | 7.07289 | − | 5.56368i | 0.928716 | − | 0.730547i | ||||
\(59\) | −6.29474 | + | 8.66397i | −0.819506 | + | 1.12795i | 0.170281 | + | 0.985396i | \(0.445532\pi\) |
−0.989787 | + | 0.142557i | \(0.954468\pi\) | |||||||
\(60\) | 0.0520814 | − | 0.0214436i | 0.00672368 | − | 0.00276836i | ||||
\(61\) | −4.10313 | + | 1.33319i | −0.525352 | + | 0.170697i | −0.559673 | − | 0.828714i | \(-0.689073\pi\) |
0.0343208 | + | 0.999411i | \(0.489073\pi\) | |||||||
\(62\) | 9.05259 | + | 6.06263i | 1.14968 | + | 0.769955i | ||||
\(63\) | −7.09103 | + | 5.15193i | −0.893385 | + | 0.649083i | ||||
\(64\) | −0.678361 | + | 7.97119i | −0.0847951 | + | 0.996398i | ||||
\(65\) | − | 0.0703576i | − | 0.00872679i | ||||||
\(66\) | −1.81103 | + | 0.494781i | −0.222923 | + | 0.0609033i | ||||
\(67\) | − | 6.42813i | − | 0.785321i | −0.919684 | − | 0.392660i | \(-0.871555\pi\) | ||
0.919684 | − | 0.392660i | \(-0.128445\pi\) | |||||||
\(68\) | −3.55937 | − | 0.862511i | −0.431637 | − | 0.104595i | ||||
\(69\) | −0.566768 | + | 0.411781i | −0.0682309 | + | 0.0495726i | ||||
\(70\) | −0.170891 | + | 0.255170i | −0.0204253 | + | 0.0304987i | ||||
\(71\) | −12.9789 | + | 4.21711i | −1.54031 | + | 0.500478i | −0.951463 | − | 0.307763i | \(-0.900420\pi\) |
−0.588851 | + | 0.808241i | \(0.700420\pi\) | |||||||
\(72\) | −7.30498 | + | 3.33953i | −0.860900 | + | 0.393567i | ||||
\(73\) | −4.88419 | + | 6.72251i | −0.571651 | + | 0.786810i | −0.992749 | − | 0.120205i | \(-0.961645\pi\) |
0.421098 | + | 0.907015i | \(0.361645\pi\) | |||||||
\(74\) | 4.02267 | + | 5.11387i | 0.467626 | + | 0.594475i | ||||
\(75\) | −1.90148 | − | 0.617829i | −0.219564 | − | 0.0713408i | ||||
\(76\) | −9.20018 | + | 0.704456i | −1.05533 | + | 0.0808067i | ||||
\(77\) | 6.70360 | − | 7.73645i | 0.763946 | − | 0.881651i | ||||
\(78\) | −0.0216240 | − | 0.565645i | −0.00244844 | − | 0.0640467i | ||||
\(79\) | 1.96085 | − | 6.03488i | 0.220613 | − | 0.678977i | −0.778094 | − | 0.628147i | \(-0.783814\pi\) |
0.998707 | − | 0.0508295i | \(-0.0161865\pi\) | |||||||
\(80\) | −0.199843 | + | 0.198156i | −0.0223431 | + | 0.0221545i | ||||
\(81\) | −6.13540 | − | 4.45763i | −0.681711 | − | 0.495292i | ||||
\(82\) | −0.896781 | − | 2.43879i | −0.0990329 | − | 0.269319i | ||||
\(83\) | 0.324964 | + | 1.00014i | 0.0356694 | + | 0.109779i | 0.967306 | − | 0.253612i | \(-0.0816187\pi\) |
−0.931637 | + | 0.363392i | \(0.881619\pi\) | |||||||
\(84\) | −1.29546 | + | 2.10398i | −0.141347 | + | 0.229563i | ||||
\(85\) | −0.0757292 | − | 0.104232i | −0.00821399 | − | 0.0113056i | ||||
\(86\) | 10.6593 | + | 3.01842i | 1.14942 | + | 0.325484i | ||||
\(87\) | 2.54695 | 0.273062 | ||||||||
\(88\) | 7.42643 | − | 5.73134i | 0.791660 | − | 0.610962i | ||||
\(89\) | 14.4713 | 1.53395 | 0.766975 | − | 0.641677i | \(-0.221761\pi\) | ||||
0.766975 | + | 0.641677i | \(0.221761\pi\) | |||||||
\(90\) | −0.271871 | − | 0.0769866i | −0.0286577 | − | 0.00811510i | ||||
\(91\) | 1.81420 | + | 2.49703i | 0.190179 | + | 0.261759i | ||||
\(92\) | 1.83533 | − | 2.98080i | 0.191347 | − | 0.310769i | ||||
\(93\) | 0.952901 | + | 2.93273i | 0.0988112 | + | 0.304110i | ||||
\(94\) | −1.35974 | − | 3.69779i | −0.140246 | − | 0.381398i | ||||
\(95\) | −0.262606 | − | 0.190794i | −0.0269428 | − | 0.0195751i | ||||
\(96\) | −1.54575 | + | 1.65451i | −0.157762 | + | 0.168863i | ||||
\(97\) | 1.72572 | − | 5.31123i | 0.175221 | − | 0.539274i | −0.824423 | − | 0.565975i | \(-0.808500\pi\) |
0.999643 | + | 0.0267005i | \(0.00850005\pi\) | |||||||
\(98\) | −0.136490 | − | 3.57032i | −0.0137876 | − | 0.360657i | ||||
\(99\) | 8.67564 | + | 3.66630i | 0.871934 | + | 0.368477i | ||||
\(100\) | 9.96094 | − | 0.762708i | 0.996094 | − | 0.0762708i | ||||
\(101\) | −0.168652 | − | 0.0547983i | −0.0167815 | − | 0.00545263i | 0.300614 | − | 0.953746i | \(-0.402808\pi\) |
−0.317396 | + | 0.948293i | \(0.602808\pi\) | |||||||
\(102\) | −0.640866 | − | 0.814708i | −0.0634552 | − | 0.0806681i | ||||
\(103\) | 5.12242 | − | 7.05041i | 0.504727 | − | 0.694698i | −0.478292 | − | 0.878201i | \(-0.658744\pi\) |
0.983019 | + | 0.183503i | \(0.0587438\pi\) | |||||||
\(104\) | 1.17598 | + | 2.57237i | 0.115314 | + | 0.252241i | ||||
\(105\) | −0.0826664 | + | 0.0268599i | −0.00806741 | + | 0.00262126i | ||||
\(106\) | −0.595468 | + | 0.889139i | −0.0578369 | + | 0.0863608i | ||||
\(107\) | 8.27150 | − | 6.00960i | 0.799636 | − | 0.580970i | −0.111171 | − | 0.993801i | \(-0.535460\pi\) |
0.910807 | + | 0.412832i | \(0.135460\pi\) | |||||||
\(108\) | −4.54342 | − | 1.10097i | −0.437191 | − | 0.105941i | ||||
\(109\) | − | 12.2729i | − | 1.17553i | −0.809031 | − | 0.587765i | \(-0.800008\pi\) | ||
0.809031 | − | 0.587765i | \(-0.199992\pi\) | |||||||
\(110\) | 0.329635 | + | 0.0156574i | 0.0314295 | + | 0.00149288i | ||||
\(111\) | 1.84151i | 0.174788i | ||||||||
\(112\) | 1.98300 | − | 12.1857i | 0.187376 | − | 1.15144i | ||||
\(113\) | −5.19282 | + | 3.77280i | −0.488499 | + | 0.354916i | −0.804607 | − | 0.593808i | \(-0.797624\pi\) |
0.316108 | + | 0.948723i | \(0.397624\pi\) | |||||||
\(114\) | −2.16988 | − | 1.45319i | −0.203228 | − | 0.136104i | ||||
\(115\) | 0.117117 | − | 0.0380536i | 0.0109212 | − | 0.00354851i | ||||
\(116\) | −11.7679 | + | 4.84525i | −1.09262 | + | 0.449870i | ||||
\(117\) | −1.66919 | + | 2.29744i | −0.154316 | + | 0.212398i | ||||
\(118\) | 11.9037 | − | 9.36368i | 1.09582 | − | 0.861996i | ||||
\(119\) | 5.37533 | + | 1.74655i | 0.492756 | + | 0.160106i | ||||
\(120\) | −0.0791303 | + | 0.00911073i | −0.00722357 | + | 0.000831692i | ||||
\(121\) | −10.8389 | − | 1.87562i | −0.985356 | − | 0.170511i | ||||
\(122\) | 6.09687 | − | 0.233077i | 0.551985 | − | 0.0211018i | ||||
\(123\) | 0.227262 | − | 0.699439i | 0.0204915 | − | 0.0630663i | ||||
\(124\) | −9.98192 | − | 11.7376i | −0.896403 | − | 1.05407i | ||||
\(125\) | 0.568923 | + | 0.413347i | 0.0508861 | + | 0.0369709i | ||||
\(126\) | 11.6340 | − | 4.27799i | 1.03644 | − | 0.381114i | ||||
\(127\) | −4.30509 | − | 13.2497i | −0.382015 | − | 1.17572i | −0.938623 | − | 0.344945i | \(-0.887898\pi\) |
0.556608 | − | 0.830775i | \(-0.312102\pi\) | |||||||
\(128\) | 3.99448 | − | 10.5851i | 0.353066 | − | 0.935598i | ||||
\(129\) | 1.84300 | + | 2.53668i | 0.162267 | + | 0.223342i | ||||
\(130\) | −0.0271100 | + | 0.0957363i | −0.00237770 | + | 0.00839663i | ||||
\(131\) | 19.8920 | 1.73797 | 0.868987 | − | 0.494836i | \(-0.164772\pi\) | ||||
0.868987 | + | 0.494836i | \(0.164772\pi\) | |||||||
\(132\) | 2.65493 | + | 0.0245674i | 0.231082 | + | 0.00213832i | ||||
\(133\) | 14.2397 | 1.23474 | ||||||||
\(134\) | −2.47686 | + | 8.74681i | −0.213968 | + | 0.755610i | ||||
\(135\) | −0.0966659 | − | 0.133049i | −0.00831967 | − | 0.0114510i | ||||
\(136\) | 4.51093 | + | 2.54511i | 0.386809 | + | 0.218241i | ||||
\(137\) | 2.98389 | + | 9.18347i | 0.254931 | + | 0.784596i | 0.993843 | + | 0.110795i | \(0.0353397\pi\) |
−0.738912 | + | 0.673801i | \(0.764660\pi\) | |||||||
\(138\) | 0.929873 | − | 0.341930i | 0.0791561 | − | 0.0291070i | ||||
\(139\) | 4.62209 | + | 3.35815i | 0.392041 | + | 0.284834i | 0.766291 | − | 0.642493i | \(-0.222100\pi\) |
−0.374251 | + | 0.927328i | \(0.622100\pi\) | |||||||
\(140\) | 0.330854 | − | 0.281366i | 0.0279623 | − | 0.0237797i | ||||
\(141\) | 0.344583 | − | 1.06052i | 0.0290192 | − | 0.0893118i | ||||
\(142\) | 19.2855 | − | 0.737264i | 1.61840 | − | 0.0618698i | ||||
\(143\) | 1.29105 | − | 3.05503i | 0.107963 | − | 0.255474i | ||||
\(144\) | 11.2267 | − | 1.72940i | 0.935561 | − | 0.144117i | ||||
\(145\) | −0.425787 | − | 0.138347i | −0.0353597 | − | 0.0114891i | ||||
\(146\) | 9.23625 | − | 7.26542i | 0.764398 | − | 0.601291i | ||||
\(147\) | 0.594394 | − | 0.818113i | 0.0490248 | − | 0.0674769i | ||||
\(148\) | −3.50323 | − | 8.50849i | −0.287964 | − | 0.699394i | ||||
\(149\) | −16.0385 | + | 5.21122i | −1.31393 | + | 0.426920i | −0.880404 | − | 0.474223i | \(-0.842729\pi\) |
−0.433521 | + | 0.901144i | \(0.642729\pi\) | |||||||
\(150\) | 2.34931 | + | 1.57336i | 0.191820 | + | 0.128464i | ||||
\(151\) | 18.5263 | − | 13.4602i | 1.50765 | − | 1.09537i | 0.540443 | − | 0.841381i | \(-0.318257\pi\) |
0.967207 | − | 0.253991i | \(-0.0817433\pi\) | |||||||
\(152\) | 12.7902 | + | 2.58642i | 1.03742 | + | 0.209787i | ||||
\(153\) | 5.20020i | 0.420411i | ||||||||
\(154\) | −12.1026 | + | 7.94406i | −0.975258 | + | 0.640151i | ||||
\(155\) | − | 0.542039i | − | 0.0435376i | ||||||
\(156\) | −0.188528 | + | 0.778011i | −0.0150944 | + | 0.0622907i | ||||
\(157\) | −4.49705 | + | 3.26730i | −0.358904 | + | 0.260759i | −0.752595 | − | 0.658484i | \(-0.771198\pi\) |
0.393691 | + | 0.919243i | \(0.371198\pi\) | |||||||
\(158\) | −4.99349 | + | 7.45617i | −0.397261 | + | 0.593181i | ||||
\(159\) | −0.288051 | + | 0.0935933i | −0.0228439 | + | 0.00742243i | ||||
\(160\) | 0.348281 | − | 0.192630i | 0.0275341 | − | 0.0152288i | ||||
\(161\) | −3.17531 | + | 4.37044i | −0.250249 | + | 0.344439i | ||||
\(162\) | 6.63090 | + | 8.42961i | 0.520973 | + | 0.662293i | ||||
\(163\) | 5.11622 | + | 1.66236i | 0.400733 | + | 0.130206i | 0.502448 | − | 0.864608i | \(-0.332433\pi\) |
−0.101715 | + | 0.994814i | \(0.532433\pi\) | |||||||
\(164\) | 0.280554 | + | 3.66402i | 0.0219076 | + | 0.286112i | ||||
\(165\) | 0.0705885 | + | 0.0611645i | 0.00549530 | + | 0.00476165i | ||||
\(166\) | −0.0568125 | − | 1.48611i | −0.00440950 | − | 0.115344i | ||||
\(167\) | 1.91199 | − | 5.88449i | 0.147954 | − | 0.455355i | −0.849425 | − | 0.527709i | \(-0.823051\pi\) |
0.997379 | + | 0.0723538i | \(0.0230511\pi\) | |||||||
\(168\) | 2.57345 | − | 2.36375i | 0.198546 | − | 0.182367i | ||||
\(169\) | 0.809017 | + | 0.587785i | 0.0622321 | + | 0.0452143i | ||||
\(170\) | 0.0628830 | + | 0.171010i | 0.00482291 | + | 0.0131158i | ||||
\(171\) | 4.04859 | + | 12.4603i | 0.309604 | + | 0.952862i | ||||
\(172\) | −13.3411 | − | 8.21438i | −1.01725 | − | 0.626341i | ||||
\(173\) | 6.50786 | + | 8.95731i | 0.494784 | + | 0.681011i | 0.981261 | − | 0.192682i | \(-0.0617185\pi\) |
−0.486478 | + | 0.873693i | \(0.661718\pi\) | |||||||
\(174\) | −3.46566 | − | 0.981383i | −0.262731 | − | 0.0743985i | ||||
\(175\) | −15.4172 | −1.16543 | ||||||||
\(176\) | −12.3136 | + | 4.93716i | −0.928172 | + | 0.372152i | ||||
\(177\) | 4.28653 | 0.322195 | ||||||||
\(178\) | −19.6912 | − | 5.57602i | −1.47592 | − | 0.417940i | ||||
\(179\) | 0.754481 | + | 1.03845i | 0.0563926 | + | 0.0776177i | 0.836282 | − | 0.548300i | \(-0.184725\pi\) |
−0.779889 | + | 0.625917i | \(0.784725\pi\) | |||||||
\(180\) | 0.340273 | + | 0.209513i | 0.0253625 | + | 0.0156162i | ||||
\(181\) | 1.47348 | + | 4.53490i | 0.109523 | + | 0.337077i | 0.990765 | − | 0.135588i | \(-0.0432923\pi\) |
−0.881242 | + | 0.472664i | \(0.843292\pi\) | |||||||
\(182\) | −1.50645 | − | 4.09677i | −0.111665 | − | 0.303673i | ||||
\(183\) | 1.39705 | + | 1.01502i | 0.103273 | + | 0.0750323i | ||||
\(184\) | −3.64591 | + | 3.34881i | −0.268780 | + | 0.246878i | ||||
\(185\) | 0.100028 | − | 0.307854i | 0.00735419 | − | 0.0226339i | ||||
\(186\) | −0.166593 | − | 4.35776i | −0.0122152 | − | 0.319526i | ||||
\(187\) | −1.37563 | − | 5.91553i | −0.100596 | − | 0.432586i | ||||
\(188\) | 0.425387 | + | 5.55554i | 0.0310245 | + | 0.405180i | ||||
\(189\) | 6.86144 | + | 2.22942i | 0.499096 | + | 0.162166i | ||||
\(190\) | 0.283814 | + | 0.360802i | 0.0205900 | + | 0.0261753i | ||||
\(191\) | 8.85319 | − | 12.1854i | 0.640594 | − | 0.881702i | −0.358053 | − | 0.933701i | \(-0.616559\pi\) |
0.998647 | + | 0.0519990i | \(0.0165592\pi\) | |||||||
\(192\) | 2.74083 | − | 1.65571i | 0.197802 | − | 0.119490i | ||||
\(193\) | −9.68291 | + | 3.14617i | −0.696991 | + | 0.226466i | −0.636019 | − | 0.771673i | \(-0.719420\pi\) |
−0.0609722 | + | 0.998139i | \(0.519420\pi\) | |||||||
\(194\) | −4.39472 | + | 6.56210i | −0.315522 | + | 0.471131i | ||||
\(195\) | −0.0227832 | + | 0.0165530i | −0.00163154 | + | 0.00118538i | ||||
\(196\) | −1.18998 | + | 4.91077i | −0.0849987 | + | 0.350769i | ||||
\(197\) | − | 25.6423i | − | 1.82694i | −0.406908 | − | 0.913469i | \(-0.633393\pi\) | ||
0.406908 | − | 0.913469i | \(-0.366607\pi\) | |||||||
\(198\) | −10.3923 | − | 8.33163i | −0.738551 | − | 0.592103i | ||||
\(199\) | 9.49010i | 0.672736i | 0.941731 | + | 0.336368i | \(0.109199\pi\) | ||||
−0.941731 | + | 0.336368i | \(0.890801\pi\) | |||||||
\(200\) | −13.8478 | − | 2.80029i | −0.979190 | − | 0.198011i | ||||
\(201\) | −2.08156 | + | 1.51234i | −0.146822 | + | 0.106672i | ||||
\(202\) | 0.208371 | + | 0.139549i | 0.0146610 | + | 0.00981862i | ||||
\(203\) | 18.6787 | − | 6.06907i | 1.31099 | − | 0.425965i | ||||
\(204\) | 0.558111 | + | 1.35552i | 0.0390756 | + | 0.0949052i | ||||
\(205\) | −0.0759849 | + | 0.104584i | −0.00530702 | + | 0.00730448i | ||||
\(206\) | −9.68677 | + | 7.61981i | −0.674910 | + | 0.530897i | ||||
\(207\) | −4.72709 | − | 1.53593i | −0.328556 | − | 0.106754i | ||||
\(208\) | −0.608988 | − | 3.95337i | −0.0422257 | − | 0.274117i | ||||
\(209\) | −7.90170 | − | 13.1033i | −0.546572 | − | 0.906375i | ||||
\(210\) | 0.122835 | − | 0.00469584i | 0.00847639 | − | 0.000324044i | ||||
\(211\) | −2.46103 | + | 7.57426i | −0.169424 | + | 0.521433i | −0.999335 | − | 0.0364623i | \(-0.988391\pi\) |
0.829911 | + | 0.557896i | \(0.188391\pi\) | |||||||
\(212\) | 1.15286 | − | 0.980417i | 0.0791787 | − | 0.0673353i | ||||
\(213\) | 4.41912 | + | 3.21068i | 0.302793 | + | 0.219992i | ||||
\(214\) | −13.5707 | + | 4.99017i | −0.927674 | + | 0.341121i | ||||
\(215\) | −0.170316 | − | 0.524178i | −0.0116154 | − | 0.0357487i | ||||
\(216\) | 5.75805 | + | 3.24875i | 0.391786 | + | 0.221050i | ||||
\(217\) | 13.9767 | + | 19.2372i | 0.948798 | + | 1.30591i | ||||
\(218\) | −4.72895 | + | 16.6999i | −0.320285 | + | 1.13106i | ||||
\(219\) | 3.32598 | 0.224749 | ||||||||
\(220\) | −0.442504 | − | 0.148319i | −0.0298336 | − | 0.00999967i | ||||
\(221\) | 1.83119 | 0.123179 | ||||||||
\(222\) | 0.709563 | − | 2.50576i | 0.0476228 | − | 0.168175i | ||||
\(223\) | 5.22446 | + | 7.19085i | 0.349855 | + | 0.481535i | 0.947287 | − | 0.320385i | \(-0.103812\pi\) |
−0.597432 | + | 0.801920i | \(0.703812\pi\) | |||||||
\(224\) | −7.39363 | + | 15.8171i | −0.494008 | + | 1.05682i | ||||
\(225\) | −4.38337 | − | 13.4906i | −0.292225 | − | 0.899375i | ||||
\(226\) | 8.51965 | − | 3.13281i | 0.566718 | − | 0.208392i | ||||
\(227\) | −18.0663 | − | 13.1259i | −1.19910 | − | 0.871198i | −0.204905 | − | 0.978782i | \(-0.565688\pi\) |
−0.994196 | + | 0.107584i | \(0.965688\pi\) | |||||||
\(228\) | 2.39263 | + | 2.81347i | 0.158456 | + | 0.186326i | ||||
\(229\) | 5.59735 | − | 17.2269i | 0.369883 | − | 1.13838i | −0.576983 | − | 0.816756i | \(-0.695770\pi\) |
0.946866 | − | 0.321628i | \(-0.104230\pi\) | |||||||
\(230\) | −0.174025 | + | 0.00665279i | −0.0114748 | + | 0.000438672i | ||||
\(231\) | −4.08237 | − | 0.350611i | −0.268600 | − | 0.0230685i | ||||
\(232\) | 17.8797 | − | 2.05859i | 1.17386 | − | 0.135153i | ||||
\(233\) | −4.99913 | − | 1.62432i | −0.327504 | − | 0.106412i | 0.140650 | − | 0.990059i | \(-0.455081\pi\) |
−0.468154 | + | 0.883647i | \(0.655081\pi\) | |||||||
\(234\) | 3.15652 | − | 2.48298i | 0.206348 | − | 0.162318i | ||||
\(235\) | −0.115211 | + | 0.158575i | −0.00751557 | + | 0.0103443i | ||||
\(236\) | −19.8054 | + | 8.15456i | −1.28922 | + | 0.530817i | ||||
\(237\) | −2.41554 | + | 0.784857i | −0.156906 | + | 0.0509820i | ||||
\(238\) | −6.64129 | − | 4.44776i | −0.430491 | − | 0.288305i | ||||
\(239\) | −12.2996 | + | 8.93619i | −0.795596 | + | 0.578034i | −0.909619 | − | 0.415444i | \(-0.863626\pi\) |
0.114023 | + | 0.993478i | \(0.463626\pi\) | |||||||
\(240\) | 0.111184 | + | 0.0180932i | 0.00717689 | + | 0.00116791i | ||||
\(241\) | − | 26.1569i | − | 1.68492i | −0.538762 | − | 0.842458i | \(-0.681108\pi\) | ||
0.538762 | − | 0.842458i | \(-0.318892\pi\) | |||||||
\(242\) | 14.0259 | + | 6.72859i | 0.901620 | + | 0.432530i | ||||
\(243\) | 10.0479i | 0.644571i | ||||||||
\(244\) | −8.38588 | − | 2.03208i | −0.536851 | − | 0.130090i | ||||
\(245\) | −0.143807 | + | 0.104482i | −0.00918746 | + | 0.00667508i | ||||
\(246\) | −0.578743 | + | 0.864166i | −0.0368993 | + | 0.0550972i | ||||
\(247\) | 4.38775 | − | 1.42567i | 0.279186 | − | 0.0907130i | ||||
\(248\) | 9.05980 | + | 19.8177i | 0.575298 | + | 1.25842i | ||||
\(249\) | 0.247410 | − | 0.340531i | 0.0156790 | − | 0.0215803i | ||||
\(250\) | −0.614870 | − | 0.781661i | −0.0388878 | − | 0.0494366i | ||||
\(251\) | 22.0801 | + | 7.17426i | 1.39368 | + | 0.452835i | 0.907143 | − | 0.420823i | \(-0.138259\pi\) |
0.486540 | + | 0.873658i | \(0.338259\pi\) | |||||||
\(252\) | −17.4788 | + | 1.33835i | −1.10106 | + | 0.0843082i | ||||
\(253\) | 5.78365 | + | 0.496725i | 0.363615 | + | 0.0312288i | ||||
\(254\) | 0.752645 | + | 19.6878i | 0.0472251 | + | 1.23532i | ||||
\(255\) | −0.0159358 | + | 0.0490453i | −0.000997937 | + | 0.00307133i | ||||
\(256\) | −9.51394 | + | 12.8641i | −0.594622 | + | 0.804006i | ||||
\(257\) | −11.4856 | − | 8.34477i | −0.716451 | − | 0.520532i | 0.168797 | − | 0.985651i | \(-0.446012\pi\) |
−0.885248 | + | 0.465118i | \(0.846012\pi\) | |||||||
\(258\) | −1.53037 | − | 4.16182i | −0.0952766 | − | 0.259104i | ||||
\(259\) | 4.38808 | + | 13.5051i | 0.272662 | + | 0.839168i | ||||
\(260\) | 0.0737776 | − | 0.119823i | 0.00457549 | − | 0.00743113i | ||||
\(261\) | 10.6213 | + | 14.6190i | 0.657445 | + | 0.904895i | ||||
\(262\) | −27.0673 | − | 7.66472i | −1.67222 | − | 0.473528i | ||||
\(263\) | −5.34057 | −0.329314 | −0.164657 | − | 0.986351i | \(-0.552652\pi\) | ||||
−0.164657 | + | 0.986351i | \(0.552652\pi\) | |||||||
\(264\) | −3.60313 | − | 1.05642i | −0.221757 | − | 0.0650181i | ||||
\(265\) | 0.0532387 | 0.00327043 | ||||||||
\(266\) | −19.3761 | − | 5.48680i | −1.18803 | − | 0.336417i | ||||
\(267\) | −3.40464 | − | 4.68608i | −0.208360 | − | 0.286784i | ||||
\(268\) | 6.74059 | − | 10.9475i | 0.411747 | − | 0.668725i | ||||
\(269\) | −1.74117 | − | 5.35876i | −0.106161 | − | 0.326730i | 0.883840 | − | 0.467789i | \(-0.154949\pi\) |
−0.990001 | + | 0.141059i | \(0.954949\pi\) | |||||||
\(270\) | 0.0802681 | + | 0.218288i | 0.00488496 | + | 0.0132846i | ||||
\(271\) | 8.82768 | + | 6.41369i | 0.536244 | + | 0.389604i | 0.822688 | − | 0.568493i | \(-0.192473\pi\) |
−0.286444 | + | 0.958097i | \(0.592473\pi\) | |||||||
\(272\) | −5.15739 | − | 5.20129i | −0.312713 | − | 0.315375i | ||||
\(273\) | 0.381763 | − | 1.17495i | 0.0231054 | − | 0.0711110i | ||||
\(274\) | −0.521664 | − | 13.6458i | −0.0315149 | − | 0.824371i | ||||
\(275\) | 8.55509 | + | 14.1868i | 0.515891 | + | 0.855498i | ||||
\(276\) | −1.39704 | + | 0.106971i | −0.0840919 | + | 0.00643890i | ||||
\(277\) | 20.0402 | + | 6.51145i | 1.20410 | + | 0.391235i | 0.841267 | − | 0.540620i | \(-0.181810\pi\) |
0.362831 | + | 0.931855i | \(0.381810\pi\) | |||||||
\(278\) | −4.99538 | − | 6.35043i | −0.299603 | − | 0.380874i | ||||
\(279\) | −12.8595 | + | 17.6996i | −0.769878 | + | 1.05965i | ||||
\(280\) | −0.558611 | + | 0.255373i | −0.0333834 | + | 0.0152615i | ||||
\(281\) | 2.21023 | − | 0.718146i | 0.131851 | − | 0.0428410i | −0.242348 | − | 0.970189i | \(-0.577918\pi\) |
0.374199 | + | 0.927348i | \(0.377918\pi\) | |||||||
\(282\) | −0.877514 | + | 1.31028i | −0.0522552 | + | 0.0780263i | ||||
\(283\) | −13.9826 | + | 10.1590i | −0.831179 | + | 0.603887i | −0.919893 | − | 0.392170i | \(-0.871724\pi\) |
0.0887134 | + | 0.996057i | \(0.471724\pi\) | |||||||
\(284\) | −26.5260 | − | 6.42781i | −1.57403 | − | 0.381420i | ||||
\(285\) | 0.129925i | 0.00769610i | ||||||||
\(286\) | −2.93389 | + | 3.65955i | −0.173485 | + | 0.216394i | ||||
\(287\) | − | 5.67104i | − | 0.334751i | ||||||
\(288\) | −15.9427 | − | 1.97264i | −0.939432 | − | 0.116239i | ||||
\(289\) | −11.0404 | + | 8.02135i | −0.649438 | + | 0.471844i | ||||
\(290\) | 0.526065 | + | 0.352312i | 0.0308916 | + | 0.0206885i | ||||
\(291\) | −2.12589 | + | 0.690745i | −0.124622 | + | 0.0404922i | ||||
\(292\) | −15.3673 | + | 6.32725i | −0.899306 | + | 0.370274i | ||||
\(293\) | −7.58896 | + | 10.4453i | −0.443352 | + | 0.610221i | −0.970953 | − | 0.239271i | \(-0.923092\pi\) |
0.527601 | + | 0.849492i | \(0.323092\pi\) | |||||||
\(294\) | −1.12403 | + | 0.884185i | −0.0655548 | + | 0.0515667i | ||||
\(295\) | −0.716600 | − | 0.232837i | −0.0417221 | − | 0.0135563i | ||||
\(296\) | 1.48841 | + | 12.9274i | 0.0865122 | + | 0.751392i | ||||
\(297\) | −1.75595 | − | 7.55098i | −0.101891 | − | 0.438152i | ||||
\(298\) | 23.8317 | − | 0.911062i | 1.38053 | − | 0.0527764i | ||||
\(299\) | −0.540859 | + | 1.66459i | −0.0312787 | + | 0.0962659i | ||||
\(300\) | −2.59048 | − | 3.04611i | −0.149562 | − | 0.175867i | ||||
\(301\) | 19.5607 | + | 14.2117i | 1.12746 | + | 0.819148i | ||||
\(302\) | −30.3953 | + | 11.1769i | −1.74906 | + | 0.643156i | ||||
\(303\) | 0.0219337 | + | 0.0675051i | 0.00126006 | + | 0.00387807i | ||||
\(304\) | −16.4072 | − | 8.44765i | −0.941016 | − | 0.484506i | ||||
\(305\) | −0.178418 | − | 0.245571i | −0.0102162 | − | 0.0140614i | ||||
\(306\) | 2.00372 | − | 7.07596i | 0.114545 | − | 0.404506i | ||||
\(307\) | 26.7562 | 1.52706 | 0.763530 | − | 0.645772i | \(-0.223465\pi\) | ||||
0.763530 | + | 0.645772i | \(0.223465\pi\) | |||||||
\(308\) | 19.5291 | − | 6.14621i | 1.11278 | − | 0.350213i | ||||
\(309\) | −3.48821 | −0.198437 | ||||||||
\(310\) | −0.208857 | + | 0.737558i | −0.0118623 | + | 0.0418905i | ||||
\(311\) | −12.4749 | − | 17.1702i | −0.707387 | − | 0.973635i | −0.999849 | − | 0.0173580i | \(-0.994475\pi\) |
0.292462 | − | 0.956277i | \(-0.405525\pi\) | |||||||
\(312\) | 0.556313 | − | 0.986004i | 0.0314950 | − | 0.0558215i | ||||
\(313\) | 1.55624 | + | 4.78960i | 0.0879636 | + | 0.270724i | 0.985356 | − | 0.170509i | \(-0.0545412\pi\) |
−0.897393 | + | 0.441233i | \(0.854541\pi\) | |||||||
\(314\) | 7.37813 | − | 2.71306i | 0.416372 | − | 0.153107i | ||||
\(315\) | −0.498908 | − | 0.362478i | −0.0281103 | − | 0.0204233i | ||||
\(316\) | 9.66767 | − | 8.22161i | 0.543849 | − | 0.462502i | ||||
\(317\) | −10.0810 | + | 31.0260i | −0.566203 | + | 1.74259i | 0.0981453 | + | 0.995172i | \(0.468709\pi\) |
−0.664349 | + | 0.747423i | \(0.731291\pi\) | |||||||
\(318\) | 0.428016 | − | 0.0163626i | 0.0240020 | − | 0.000917570i | ||||
\(319\) | −15.9496 | − | 13.8203i | −0.893009 | − | 0.773787i | ||||
\(320\) | −0.548133 | + | 0.127915i | −0.0306416 | + | 0.00715068i | ||||
\(321\) | −3.89206 | − | 1.26461i | −0.217233 | − | 0.0705834i | ||||
\(322\) | 6.00468 | − | 4.72340i | 0.334627 | − | 0.263225i | ||||
\(323\) | 4.96579 | − | 6.83482i | 0.276304 | − | 0.380299i | ||||
\(324\) | −5.77466 | − | 14.0252i | −0.320814 | − | 0.779180i | ||||
\(325\) | −4.75057 | + | 1.54356i | −0.263514 | + | 0.0856210i | ||||
\(326\) | −6.32115 | − | 4.23335i | −0.350096 | − | 0.234464i | ||||
\(327\) | −3.97421 | + | 2.88743i | −0.219774 | + | 0.159675i | ||||
\(328\) | 1.03006 | − | 5.09377i | 0.0568754 | − | 0.281257i | ||||
\(329\) | − | 8.59867i | − | 0.474060i | ||||||
\(330\) | −0.0724827 | − | 0.110426i | −0.00399004 | − | 0.00607876i | ||||
\(331\) | − | 16.0125i | − | 0.880124i | −0.897967 | − | 0.440062i | \(-0.854956\pi\) | ||
0.897967 | − | 0.440062i | \(-0.145044\pi\) | |||||||
\(332\) | −0.495318 | + | 2.04405i | −0.0271841 | + | 0.112182i | ||||
\(333\) | −10.5699 | + | 7.67948i | −0.579227 | + | 0.420833i | ||||
\(334\) | −4.86905 | + | 7.27036i | −0.266423 | + | 0.397816i | ||||
\(335\) | 0.430132 | − | 0.139758i | 0.0235006 | − | 0.00763582i | ||||
\(336\) | −4.41251 | + | 2.22478i | −0.240722 | + | 0.121372i | ||||
\(337\) | −18.8012 | + | 25.8777i | −1.02417 | + | 1.40965i | −0.114928 | + | 0.993374i | \(0.536664\pi\) |
−0.909240 | + | 0.416273i | \(0.863336\pi\) | |||||||
\(338\) | −0.874354 | − | 1.11153i | −0.0475586 | − | 0.0604594i | ||||
\(339\) | 2.44342 | + | 0.793915i | 0.132708 | + | 0.0431196i | ||||
\(340\) | −0.0196727 | − | 0.256924i | −0.00106690 | − | 0.0139337i | ||||
\(341\) | 9.94628 | − | 23.5361i | 0.538621 | − | 1.27455i | ||||
\(342\) | −0.707803 | − | 18.5148i | −0.0382736 | − | 1.00117i | ||||
\(343\) | −4.26678 | + | 13.1318i | −0.230385 | + | 0.709051i | ||||
\(344\) | 14.9882 | + | 16.3179i | 0.808112 | + | 0.879804i | ||||
\(345\) | −0.0398765 | − | 0.0289720i | −0.00214688 | − | 0.00155980i | ||||
\(346\) | −5.40391 | − | 14.6959i | −0.290516 | − | 0.790056i | ||||
\(347\) | −9.75700 | − | 30.0290i | −0.523783 | − | 1.61204i | −0.766709 | − | 0.641994i | \(-0.778107\pi\) |
0.242926 | − | 0.970045i | \(-0.421893\pi\) | |||||||
\(348\) | 4.33762 | + | 2.67076i | 0.232521 | + | 0.143168i | ||||
\(349\) | −1.69459 | − | 2.33241i | −0.0907094 | − | 0.124851i | 0.761250 | − | 0.648458i | \(-0.224586\pi\) |
−0.851960 | + | 0.523607i | \(0.824586\pi\) | |||||||
\(350\) | 20.9783 | + | 5.94050i | 1.12134 | + | 0.317533i | ||||
\(351\) | 2.33746 | 0.124764 | ||||||||
\(352\) | 18.6576 | − | 1.97341i | 0.994453 | − | 0.105183i | ||||
\(353\) | −7.91200 | −0.421113 | −0.210557 | − | 0.977582i | \(-0.567528\pi\) | ||||
−0.210557 | + | 0.977582i | \(0.567528\pi\) | |||||||
\(354\) | −5.83272 | − | 1.65167i | −0.310005 | − | 0.0877853i | ||||
\(355\) | −0.564368 | − | 0.776785i | −0.0299535 | − | 0.0412275i | ||||
\(356\) | 24.6454 | + | 15.1747i | 1.30621 | + | 0.804256i | ||||
\(357\) | −0.699081 | − | 2.15155i | −0.0369993 | − | 0.113872i | ||||
\(358\) | −0.626496 | − | 1.70375i | −0.0331114 | − | 0.0900459i | ||||
\(359\) | 21.0702 | + | 15.3084i | 1.11204 | + | 0.807945i | 0.982984 | − | 0.183692i | \(-0.0588049\pi\) |
0.129057 | + | 0.991637i | \(0.458805\pi\) | |||||||
\(360\) | −0.382284 | − | 0.416199i | −0.0201482 | − | 0.0219356i | ||||
\(361\) | 0.706068 | − | 2.17305i | 0.0371615 | − | 0.114371i | ||||
\(362\) | −0.257604 | − | 6.73844i | −0.0135394 | − | 0.354165i | ||||
\(363\) | 1.94270 | + | 3.95113i | 0.101965 | + | 0.207381i | ||||
\(364\) | 0.471285 | + | 6.15497i | 0.0247021 | + | 0.322608i | ||||
\(365\) | −0.556021 | − | 0.180662i | −0.0291035 | − | 0.00945629i | ||||
\(366\) | −1.50988 | − | 1.91945i | −0.0789227 | − | 0.100331i | ||||
\(367\) | 4.72869 | − | 6.50849i | 0.246836 | − | 0.339740i | −0.667564 | − | 0.744552i | \(-0.732663\pi\) |
0.914400 | + | 0.404812i | \(0.132663\pi\) | |||||||
\(368\) | 6.25138 | − | 3.15193i | 0.325875 | − | 0.164306i | ||||
\(369\) | 4.96238 | − | 1.61238i | 0.258331 | − | 0.0839369i | ||||
\(370\) | −0.254730 | + | 0.380357i | −0.0132428 | + | 0.0197738i | ||||
\(371\) | −1.88947 | + | 1.37278i | −0.0980962 | + | 0.0712711i | ||||
\(372\) | −1.45243 | + | 5.99384i | −0.0753052 | + | 0.310766i | ||||
\(373\) | − | 30.1920i | − | 1.56328i | −0.623727 | − | 0.781642i | \(-0.714382\pi\) | ||
0.623727 | − | 0.781642i | \(-0.285618\pi\) | |||||||
\(374\) | −0.407514 | + | 8.57937i | −0.0210720 | + | 0.443629i | ||||
\(375\) | − | 0.281477i | − | 0.0145354i | ||||||
\(376\) | 1.56182 | − | 7.72339i | 0.0805445 | − | 0.398303i | ||||
\(377\) | 5.14793 | − | 3.74019i | 0.265132 | − | 0.192629i | ||||
\(378\) | −8.47739 | − | 5.67741i | −0.436030 | − | 0.292015i | ||||
\(379\) | 9.62642 | − | 3.12781i | 0.494476 | − | 0.160665i | −0.0511547 | − | 0.998691i | \(-0.516290\pi\) |
0.545631 | + | 0.838026i | \(0.316290\pi\) | |||||||
\(380\) | −0.247166 | − | 0.600305i | −0.0126793 | − | 0.0307950i | ||||
\(381\) | −3.27766 | + | 4.51132i | −0.167920 | + | 0.231122i | ||||
\(382\) | −16.7418 | + | 13.1695i | −0.856587 | + | 0.673809i | ||||
\(383\) | −34.0623 | − | 11.0675i | −1.74050 | − | 0.565523i | −0.745601 | − | 0.666393i | \(-0.767837\pi\) |
−0.994900 | + | 0.100870i | \(0.967837\pi\) | |||||||
\(384\) | −4.36744 | + | 1.19685i | −0.222875 | + | 0.0610765i | ||||
\(385\) | 0.663425 | + | 0.280361i | 0.0338113 | + | 0.0142885i | ||||
\(386\) | 14.3879 | − | 0.550035i | 0.732325 | − | 0.0279960i | ||||
\(387\) | −6.87432 | + | 21.1570i | −0.349441 | + | 1.07547i | ||||
\(388\) | 8.50842 | − | 7.23575i | 0.431950 | − | 0.367340i | ||||
\(389\) | −5.24491 | − | 3.81065i | −0.265928 | − | 0.193208i | 0.446829 | − | 0.894620i | \(-0.352553\pi\) |
−0.712756 | + | 0.701412i | \(0.752553\pi\) | |||||||
\(390\) | 0.0373795 | − | 0.0137450i | 0.00189278 | − | 0.000696007i | ||||
\(391\) | 0.990416 | + | 3.04819i | 0.0500875 | + | 0.154153i | ||||
\(392\) | 3.51142 | − | 6.22361i | 0.177354 | − | 0.314340i | ||||
\(393\) | −4.67997 | − | 6.44143i | −0.236073 | − | 0.324927i | ||||
\(394\) | −9.88041 | + | 34.8917i | −0.497768 | + | 1.75782i | ||||
\(395\) | 0.446451 | 0.0224634 | ||||||||
\(396\) | 10.9306 | + | 15.3413i | 0.549285 | + | 0.770928i | ||||
\(397\) | −27.2667 | −1.36848 | −0.684239 | − | 0.729258i | \(-0.739865\pi\) | ||||
−0.684239 | + | 0.729258i | \(0.739865\pi\) | |||||||
\(398\) | 3.65670 | − | 12.9133i | 0.183294 | − | 0.647284i | ||||
\(399\) | −3.35016 | − | 4.61110i | −0.167718 | − | 0.230844i | ||||
\(400\) | 17.7639 | + | 9.14619i | 0.888194 | + | 0.457309i | ||||
\(401\) | 6.38411 | + | 19.6483i | 0.318807 | + | 0.981188i | 0.974159 | + | 0.225864i | \(0.0725205\pi\) |
−0.655352 | + | 0.755324i | \(0.727480\pi\) | |||||||
\(402\) | 3.41512 | − | 1.25580i | 0.170331 | − | 0.0626334i | ||||
\(403\) | 6.23271 | + | 4.52833i | 0.310473 | + | 0.225572i | ||||
\(404\) | −0.229762 | − | 0.270174i | −0.0114311 | − | 0.0134417i | ||||
\(405\) | 0.164884 | − | 0.507461i | 0.00819315 | − | 0.0252159i | ||||
\(406\) | −27.7548 | + | 1.06104i | −1.37745 | + | 0.0526584i | ||||
\(407\) | 9.99239 | − | 11.5320i | 0.495305 | − | 0.571619i | ||||
\(408\) | −0.237124 | − | 2.05952i | −0.0117394 | − | 0.101961i | ||||
\(409\) | 27.5910 | + | 8.96486i | 1.36429 | + | 0.443284i | 0.897472 | − | 0.441072i | \(-0.145402\pi\) |
0.466815 | + | 0.884355i | \(0.345402\pi\) | |||||||
\(410\) | 0.143692 | − | 0.113031i | 0.00709642 | − | 0.00558218i | ||||
\(411\) | 2.27177 | − | 3.12683i | 0.112058 | − | 0.154235i | ||||
\(412\) | 16.1169 | − | 6.63587i | 0.794024 | − | 0.326926i | ||||
\(413\) | 31.4363 | − | 10.2143i | 1.54688 | − | 0.502611i | ||||
\(414\) | 5.84038 | + | 3.91138i | 0.287039 | + | 0.192234i | ||||
\(415\) | −0.0598579 | + | 0.0434893i | −0.00293831 | + | 0.00213481i | ||||
\(416\) | −0.694643 | + | 5.61404i | −0.0340577 | + | 0.275251i | ||||
\(417\) | − | 2.28679i | − | 0.111985i | ||||||
\(418\) | 5.70299 | + | 20.8745i | 0.278942 | + | 1.02100i | ||||
\(419\) | 31.1045i | 1.51955i | 0.650184 | + | 0.759777i | \(0.274692\pi\) | ||||
−0.650184 | + | 0.759777i | \(0.725308\pi\) | |||||||
\(420\) | −0.168952 | − | 0.0409405i | −0.00824399 | − | 0.00199769i | ||||
\(421\) | −14.2472 | + | 10.3512i | −0.694368 | + | 0.504488i | −0.878093 | − | 0.478490i | \(-0.841184\pi\) |
0.183725 | + | 0.982978i | \(0.441184\pi\) | |||||||
\(422\) | 6.26723 | − | 9.35809i | 0.305084 | − | 0.455545i | ||||
\(423\) | 7.52417 | − | 2.44475i | 0.365837 | − | 0.118868i | ||||
\(424\) | −1.94648 | + | 0.889847i | −0.0945293 | + | 0.0432148i | ||||
\(425\) | −5.37641 | + | 7.39999i | −0.260794 | + | 0.358952i | ||||
\(426\) | −4.77601 | − | 6.07156i | −0.231399 | − | 0.294168i | ||||
\(427\) | 12.6643 | + | 4.11488i | 0.612868 | + | 0.199133i | ||||
\(428\) | 20.3886 | − | 1.56115i | 0.985520 | − | 0.0754611i | ||||
\(429\) | −1.29302 | + | 0.300687i | −0.0624277 | + | 0.0145173i | ||||
\(430\) | 0.0297758 | + | 0.778880i | 0.00143592 | + | 0.0375609i | ||||
\(431\) | 10.7794 | − | 33.1755i | 0.519225 | − | 1.59801i | −0.256237 | − | 0.966614i | \(-0.582483\pi\) |
0.775461 | − | 0.631395i | \(-0.217517\pi\) | |||||||
\(432\) | −6.58324 | − | 6.63928i | −0.316736 | − | 0.319433i | ||||
\(433\) | 4.57449 | + | 3.32356i | 0.219836 | + | 0.159720i | 0.692253 | − | 0.721655i | \(-0.256618\pi\) |
−0.472417 | + | 0.881375i | \(0.656618\pi\) | |||||||
\(434\) | −11.6058 | − | 31.5617i | −0.557094 | − | 1.51501i | ||||
\(435\) | 0.0553751 | + | 0.170427i | 0.00265503 | + | 0.00817135i | ||||
\(436\) | 12.8695 | − | 20.9015i | 0.616336 | − | 1.00100i | ||||
\(437\) | 4.74631 | + | 6.53274i | 0.227047 | + | 0.312503i | ||||
\(438\) | −4.52569 | − | 1.28156i | −0.216246 | − | 0.0612351i | ||||
\(439\) | −33.1522 | −1.58227 | −0.791133 | − | 0.611644i | \(-0.790508\pi\) | ||||
−0.791133 | + | 0.611644i | \(0.790508\pi\) | |||||||
\(440\) | 0.544970 | + | 0.372323i | 0.0259804 | + | 0.0177498i | ||||
\(441\) | 7.17457 | 0.341646 | ||||||||
\(442\) | −2.49172 | − | 0.705588i | −0.118519 | − | 0.0335614i | ||||
\(443\) | 13.6030 | + | 18.7229i | 0.646296 | + | 0.889550i | 0.998932 | − | 0.0462103i | \(-0.0147144\pi\) |
−0.352636 | + | 0.935761i | \(0.614714\pi\) | |||||||
\(444\) | −1.93102 | + | 3.13620i | −0.0916421 | + | 0.148837i | ||||
\(445\) | 0.314630 | + | 0.968331i | 0.0149149 | + | 0.0459033i | ||||
\(446\) | −4.33821 | − | 11.7977i | −0.205420 | − | 0.558638i | ||||
\(447\) | 5.46086 | + | 3.96755i | 0.258290 | + | 0.187659i | ||||
\(448\) | 16.1552 | − | 18.6736i | 0.763260 | − | 0.882244i | ||||
\(449\) | 3.14044 | − | 9.66528i | 0.148207 | − | 0.456133i | −0.849203 | − | 0.528067i | \(-0.822917\pi\) |
0.997409 | + | 0.0719340i | \(0.0229171\pi\) | |||||||
\(450\) | 0.766331 | + | 20.0458i | 0.0361252 | + | 0.944969i | ||||
\(451\) | −5.21847 | + | 3.14690i | −0.245728 | + | 0.148182i | ||||
\(452\) | −12.7999 | + | 0.980086i | −0.602056 | + | 0.0460994i | ||||
\(453\) | −8.71733 | − | 2.83243i | −0.409576 | − | 0.133079i | ||||
\(454\) | 19.5253 | + | 24.8218i | 0.916369 | + | 1.16494i | ||||
\(455\) | −0.127642 | + | 0.175685i | −0.00598397 | + | 0.00823623i | ||||
\(456\) | −2.17161 | − | 4.75023i | −0.101695 | − | 0.222450i | ||||
\(457\) | −7.80132 | + | 2.53480i | −0.364930 | + | 0.118573i | −0.485742 | − | 0.874102i | \(-0.661450\pi\) |
0.120811 | + | 0.992675i | \(0.461450\pi\) | |||||||
\(458\) | −14.2542 | + | 21.2840i | −0.666054 | + | 0.994537i | ||||
\(459\) | 3.46286 | − | 2.51591i | 0.161632 | − | 0.117433i | ||||
\(460\) | 0.239361 | + | 0.0580021i | 0.0111602 | + | 0.00270436i | ||||
\(461\) | − | 21.4267i | − | 0.997943i | −0.866618 | − | 0.498971i | \(-0.833711\pi\) | ||
0.866618 | − | 0.498971i | \(-0.166289\pi\) | |||||||
\(462\) | 5.41982 | + | 2.05008i | 0.252153 | + | 0.0953785i | ||||
\(463\) | − | 15.9258i | − | 0.740136i | −0.929005 | − | 0.370068i | \(-0.879334\pi\) | ||
0.929005 | − | 0.370068i | \(-0.120666\pi\) | |||||||
\(464\) | −25.1223 | − | 4.08820i | −1.16627 | − | 0.189790i | ||||
\(465\) | −0.175523 | + | 0.127525i | −0.00813969 | + | 0.00591383i | ||||
\(466\) | 6.17649 | + | 4.13647i | 0.286120 | + | 0.191618i | ||||
\(467\) | 18.9864 | − | 6.16905i | 0.878585 | − | 0.285470i | 0.165216 | − | 0.986257i | \(-0.447168\pi\) |
0.713370 | + | 0.700788i | \(0.247168\pi\) | |||||||
\(468\) | −5.25184 | + | 2.16236i | −0.242766 | + | 0.0999550i | ||||
\(469\) | −11.6619 | + | 16.0512i | −0.538495 | + | 0.741175i | ||||
\(470\) | 0.217871 | − | 0.171382i | 0.0100496 | − | 0.00790525i | ||||
\(471\) | 2.11604 | + | 0.687542i | 0.0975018 | + | 0.0316802i | ||||
\(472\) | 30.0916 | − | 3.46462i | 1.38508 | − | 0.159472i | ||||
\(473\) | 2.22318 | − | 25.8858i | 0.102222 | − | 1.19023i | ||||
\(474\) | 3.58927 | − | 0.137214i | 0.164861 | − | 0.00630245i | ||||
\(475\) | −7.12128 | + | 21.9170i | −0.326747 | + | 1.00562i | ||||
\(476\) | 7.32308 | + | 8.61110i | 0.335653 | + | 0.394689i | ||||
\(477\) | −1.73844 | − | 1.26305i | −0.0795978 | − | 0.0578312i | ||||
\(478\) | 20.1795 | − | 7.42032i | 0.922987 | − | 0.339397i | ||||
\(479\) | −10.4259 | − | 32.0876i | −0.476371 | − | 1.46612i | −0.844100 | − | 0.536185i | \(-0.819865\pi\) |
0.367730 | − | 0.929933i | \(-0.380135\pi\) | |||||||
\(480\) | −0.144317 | − | 0.0674605i | −0.00658716 | − | 0.00307914i | ||||
\(481\) | 2.70424 | + | 3.72207i | 0.123303 | + | 0.169712i | ||||
\(482\) | −10.0787 | + | 35.5920i | −0.459072 | + | 1.62117i | ||||
\(483\) | 2.16229 | 0.0983875 | ||||||||
\(484\) | −16.4926 | − | 14.5601i | −0.749662 | − | 0.661821i | ||||
\(485\) | 0.392916 | 0.0178414 | ||||||||
\(486\) | 3.87161 | − | 13.6722i | 0.175620 | − | 0.620185i | ||||
\(487\) | −15.3978 | − | 21.1933i | −0.697742 | − | 0.960360i | −0.999975 | − | 0.00712572i | \(-0.997732\pi\) |
0.302232 | − | 0.953234i | \(-0.402268\pi\) | |||||||
\(488\) | 10.6278 | + | 5.99628i | 0.481096 | + | 0.271439i | ||||
\(489\) | −0.665382 | − | 2.04784i | −0.0300896 | − | 0.0926063i | ||||
\(490\) | 0.235937 | − | 0.0867580i | 0.0106586 | − | 0.00391933i | ||||
\(491\) | −15.8956 | − | 11.5488i | −0.717357 | − | 0.521190i | 0.168182 | − | 0.985756i | \(-0.446210\pi\) |
−0.885539 | + | 0.464566i | \(0.846210\pi\) | |||||||
\(492\) | 1.12048 | − | 0.952880i | 0.0505151 | − | 0.0429592i | ||||
\(493\) | 3.60073 | − | 11.0819i | 0.162169 | − | 0.499104i | ||||
\(494\) | −6.51979 | + | 0.249245i | −0.293339 | + | 0.0112141i | ||||
\(495\) | −0.0567037 | + | 0.660234i | −0.00254864 | + | 0.0296753i | ||||
\(496\) | −4.69168 | − | 30.4570i | −0.210663 | − | 1.36756i | ||||
\(497\) | 40.0594 | + | 13.0161i | 1.79691 | + | 0.583851i | ||||
\(498\) | −0.467866 | + | 0.368033i | −0.0209656 | + | 0.0164919i | ||||
\(499\) | −20.6591 | + | 28.4348i | −0.924829 | + | 1.27292i | 0.0370140 | + | 0.999315i | \(0.488215\pi\) |
−0.961843 | + | 0.273603i | \(0.911785\pi\) | |||||||
\(500\) | 0.535473 | + | 1.30053i | 0.0239471 | + | 0.0581616i | ||||
\(501\) | −2.35535 | + | 0.765299i | −0.105229 | + | 0.0341910i | ||||
\(502\) | −27.2802 | − | 18.2699i | −1.21758 | − | 0.815426i | ||||
\(503\) | −7.57889 | + | 5.50638i | −0.337926 | + | 0.245518i | −0.743786 | − | 0.668418i | \(-0.766972\pi\) |
0.405860 | + | 0.913935i | \(0.366972\pi\) | |||||||
\(504\) | 24.2993 | + | 4.91377i | 1.08238 | + | 0.218877i | ||||
\(505\) | − | 0.0124766i | − | 0.000555201i | ||||||
\(506\) | −7.67848 | − | 2.90444i | −0.341350 | − | 0.129118i | ||||
\(507\) | − | 0.400264i | − | 0.0177763i | ||||||
\(508\) | 6.56191 | − | 27.0794i | 0.291138 | − | 1.20145i | ||||
\(509\) | −16.2277 | + | 11.7901i | −0.719279 | + | 0.522587i | −0.886154 | − | 0.463391i | \(-0.846633\pi\) |
0.166875 | + | 0.985978i | \(0.446633\pi\) | |||||||
\(510\) | 0.0405819 | − | 0.0605961i | 0.00179700 | − | 0.00268324i | ||||
\(511\) | 24.3919 | − | 7.92540i | 1.07903 | − | 0.350599i | ||||
\(512\) | 17.9025 | − | 13.8384i | 0.791185 | − | 0.611577i | ||||
\(513\) | 6.33866 | − | 8.72442i | 0.279859 | − | 0.385193i | ||||
\(514\) | 12.4132 | + | 15.7804i | 0.547522 | + | 0.696044i | ||||
\(515\) | 0.583142 | + | 0.189474i | 0.0256963 | + | 0.00834924i | ||||
\(516\) | 0.478769 | + | 6.25271i | 0.0210766 | + | 0.275260i | ||||
\(517\) | −7.91246 | + | 4.77145i | −0.347990 | + | 0.209848i | ||||
\(518\) | −0.767155 | − | 20.0674i | −0.0337069 | − | 0.881710i | ||||
\(519\) | 1.36946 | − | 4.21475i | 0.0601125 | − | 0.185007i | ||||
\(520\) | −0.146560 | + | 0.134617i | −0.00642708 | + | 0.00590335i | ||||
\(521\) | 10.3355 | + | 7.50919i | 0.452807 | + | 0.328984i | 0.790703 | − | 0.612200i | \(-0.209715\pi\) |
−0.337896 | + | 0.941183i | \(0.609715\pi\) | |||||||
\(522\) | −8.81961 | − | 23.9848i | −0.386024 | − | 1.04979i | ||||
\(523\) | 2.92598 | + | 9.00523i | 0.127944 | + | 0.393771i | 0.994426 | − | 0.105437i | \(-0.0336242\pi\) |
−0.866482 | + | 0.499209i | \(0.833624\pi\) | |||||||
\(524\) | 33.8773 | + | 20.8589i | 1.47994 | + | 0.911227i | ||||
\(525\) | 3.62719 | + | 4.99240i | 0.158303 | + | 0.217886i | ||||
\(526\) | 7.26697 | + | 2.05781i | 0.316855 | + | 0.0897249i | ||||
\(527\) | 14.1076 | 0.614536 | ||||||||
\(528\) | 4.49576 | + | 2.82583i | 0.195653 | + | 0.122978i | ||||
\(529\) | 19.9366 | 0.866809 | ||||||||
\(530\) | −0.0724424 | − | 0.0205138i | −0.00314670 | − | 0.000891061i | ||||
\(531\) | 17.8757 | + | 24.6038i | 0.775741 | + | 1.06772i | ||||
\(532\) | 24.2511 | + | 14.9319i | 1.05142 | + | 0.647379i | ||||
\(533\) | −0.567780 | − | 1.74745i | −0.0245933 | − | 0.0756903i | ||||
\(534\) | 2.82710 | + | 7.68826i | 0.122341 | + | 0.332704i | ||||
\(535\) | 0.581963 | + | 0.422821i | 0.0251605 | + | 0.0182801i | ||||
\(536\) | −13.3902 | + | 12.2991i | −0.578370 | + | 0.531240i | ||||
\(537\) | 0.158766 | − | 0.488632i | 0.00685127 | − | 0.0210860i | ||||
\(538\) | 0.304403 | + | 7.96262i | 0.0131237 | + | 0.343293i | ||||
\(539\) | −8.16150 | + | 1.89792i | −0.351540 | + | 0.0817494i | ||||
\(540\) | −0.0251115 | − | 0.327956i | −0.00108063 | − | 0.0141130i | ||||
\(541\) | −2.59158 | − | 0.842056i | −0.111421 | − | 0.0362028i | 0.252776 | − | 0.967525i | \(-0.418656\pi\) |
−0.364197 | + | 0.931322i | \(0.618656\pi\) | |||||||
\(542\) | −9.54061 | − | 12.1286i | −0.409804 | − | 0.520969i | ||||
\(543\) | 1.12183 | − | 1.54406i | 0.0481423 | − | 0.0662622i | ||||
\(544\) | 5.01357 | + | 9.06468i | 0.214955 | + | 0.388645i | ||||
\(545\) | 0.821230 | − | 0.266834i | 0.0351776 | − | 0.0114299i | ||||
\(546\) | −0.972195 | + | 1.45166i | −0.0416061 | + | 0.0621253i | ||||
\(547\) | 8.01347 | − | 5.82213i | 0.342631 | − | 0.248936i | −0.403140 | − | 0.915138i | \(-0.632081\pi\) |
0.745771 | + | 0.666202i | \(0.232081\pi\) | |||||||
\(548\) | −4.54811 | + | 18.7689i | −0.194286 | + | 0.801770i | ||||
\(549\) | 12.2517i | 0.522888i | ||||||||
\(550\) | −6.17457 | − | 22.6006i | −0.263284 | − | 0.963692i | ||||
\(551\) | − | 29.3569i | − | 1.25065i | ||||||
\(552\) | 1.94218 | + | 0.392746i | 0.0826648 | + | 0.0167164i | ||||
\(553\) | −15.8447 | + | 11.5119i | −0.673787 | + | 0.489535i | ||||
\(554\) | −24.7599 | − | 16.5820i | −1.05195 | − | 0.704502i | ||||
\(555\) | −0.123223 | + | 0.0400375i | −0.00523051 | + | 0.00169950i | ||||
\(556\) | 4.35033 | + | 10.5659i | 0.184495 | + | 0.448094i | ||||
\(557\) | −6.71609 | + | 9.24390i | −0.284570 | + | 0.391677i | −0.927241 | − | 0.374466i | \(-0.877826\pi\) |
0.642671 | + | 0.766142i | \(0.277826\pi\) | |||||||
\(558\) | 24.3180 | − | 19.1290i | 1.02946 | − | 0.809796i | ||||
\(559\) | 7.45020 | + | 2.42072i | 0.315110 | + | 0.102385i | ||||
\(560\) | 0.858507 | − | 0.132247i | 0.0362786 | − | 0.00558845i | ||||
\(561\) | −1.59192 | + | 1.83720i | −0.0672111 | + | 0.0775666i | ||||
\(562\) | −3.28419 | + | 0.125551i | −0.138535 | + | 0.00529606i | ||||
\(563\) | 3.28616 | − | 10.1138i | 0.138495 | − | 0.426244i | −0.857622 | − | 0.514280i | \(-0.828059\pi\) |
0.996117 | + | 0.0880363i | \(0.0280592\pi\) | |||||||
\(564\) | 1.69892 | − | 1.44480i | 0.0715373 | − | 0.0608369i | ||||
\(565\) | −0.365355 | − | 0.265446i | −0.0153706 | − | 0.0111674i | ||||
\(566\) | 22.9407 | − | 8.43566i | 0.964268 | − | 0.354577i | ||||
\(567\) | 7.23324 | + | 22.2616i | 0.303768 | + | 0.934900i | ||||
\(568\) | 33.6174 | + | 18.9673i | 1.41056 | + | 0.795850i | ||||
\(569\) | −18.6273 | − | 25.6383i | −0.780898 | − | 1.07481i | −0.995182 | − | 0.0980426i | \(-0.968742\pi\) |
0.214284 | − | 0.976771i | \(-0.431258\pi\) | |||||||
\(570\) | 0.0500623 | − | 0.176790i | 0.00209688 | − | 0.00740493i | ||||
\(571\) | −42.7263 | −1.78804 | −0.894020 | − | 0.448028i | \(-0.852127\pi\) | ||||
−0.894020 | + | 0.448028i | \(0.852127\pi\) | |||||||
\(572\) | 5.40226 | − | 3.84910i | 0.225880 | − | 0.160939i | ||||
\(573\) | −6.02875 | −0.251855 | ||||||||
\(574\) | −2.18515 | + | 7.71665i | −0.0912063 | + | 0.322087i | ||||
\(575\) | −5.13878 | − | 7.07293i | −0.214302 | − | 0.294962i | ||||
\(576\) | 20.9333 | + | 8.82718i | 0.872220 | + | 0.367799i | ||||
\(577\) | −13.6909 | − | 42.1364i | −0.569961 | − | 1.75416i | −0.652729 | − | 0.757592i | \(-0.726376\pi\) |
0.0827676 | − | 0.996569i | \(-0.473624\pi\) | |||||||
\(578\) | 18.1136 | − | 6.66066i | 0.753426 | − | 0.277047i | ||||
\(579\) | 3.29688 | + | 2.39533i | 0.137014 | + | 0.0995463i | ||||
\(580\) | −0.580070 | − | 0.682096i | −0.0240861 | − | 0.0283225i | ||||
\(581\) | 1.00300 | − | 3.08692i | 0.0416114 | − | 0.128067i | ||||
\(582\) | 3.15888 | − | 0.120761i | 0.130940 | − | 0.00500569i | ||||
\(583\) | 2.31170 | + | 0.976917i | 0.0957409 | + | 0.0404598i | ||||
\(584\) | 23.3485 | − | 2.68825i | 0.966168 | − | 0.111241i | ||||
\(585\) | −0.190022 | − | 0.0617418i | −0.00785644 | − | 0.00255271i | ||||
\(586\) | 14.3511 | − | 11.2889i | 0.592839 | − | 0.466339i | ||||
\(587\) | 21.3998 | − | 29.4543i | 0.883263 | − | 1.21571i | −0.0922431 | − | 0.995737i | \(-0.529404\pi\) |
0.975506 | − | 0.219971i | \(-0.0705963\pi\) | |||||||
\(588\) | 1.87017 | − | 0.770011i | 0.0771245 | − | 0.0317547i | ||||
\(589\) | 33.8035 | − | 10.9834i | 1.39285 | − | 0.452564i | ||||
\(590\) | 0.885368 | + | 0.592942i | 0.0364500 | + | 0.0244110i | ||||
\(591\) | −8.30349 | + | 6.03284i | −0.341560 | + | 0.248158i | ||||
\(592\) | 2.95586 | − | 18.1640i | 0.121485 | − | 0.746536i | ||||
\(593\) | 34.6978i | 1.42487i | 0.701740 | + | 0.712433i | \(0.252407\pi\) | ||||
−0.701740 | + | 0.712433i | \(0.747593\pi\) | |||||||
\(594\) | −0.520178 | + | 10.9513i | −0.0213432 | + | 0.449337i | ||||
\(595\) | 0.397658i | 0.0163024i | ||||||||
\(596\) | −32.7791 | − | 7.94307i | −1.34268 | − | 0.325361i | ||||
\(597\) | 3.07309 | − | 2.23273i | 0.125773 | − | 0.0913795i | ||||
\(598\) | 1.37735 | − | 2.05663i | 0.0563239 | − | 0.0841017i | ||||
\(599\) | −36.8198 | + | 11.9635i | −1.50442 | + | 0.488815i | −0.941303 | − | 0.337564i | \(-0.890397\pi\) |
−0.563115 | + | 0.826379i | \(0.690397\pi\) | |||||||
\(600\) | 2.35118 | + | 5.14303i | 0.0959864 | + | 0.209963i | ||||
\(601\) | −6.08034 | + | 8.36887i | −0.248022 | + | 0.341373i | −0.914817 | − | 0.403868i | \(-0.867666\pi\) |
0.666795 | + | 0.745241i | \(0.267666\pi\) | |||||||
\(602\) | −21.1404 | − | 26.8750i | −0.861620 | − | 1.09535i | ||||
\(603\) | −17.3611 | − | 5.64096i | −0.706998 | − | 0.229718i | ||||
\(604\) | 45.6659 | − | 3.49663i | 1.85812 | − | 0.142276i | ||||
\(605\) | −0.110151 | − | 0.766055i | −0.00447828 | − | 0.0311446i | ||||
\(606\) | −0.00383461 | − | 0.100306i | −0.000155770 | − | 0.00407467i | ||||
\(607\) | −5.91234 | + | 18.1963i | −0.239974 | + | 0.738565i | 0.756448 | + | 0.654054i | \(0.226933\pi\) |
−0.996422 | + | 0.0845117i | \(0.973067\pi\) | |||||||
\(608\) | 19.0704 | + | 17.8168i | 0.773406 | + | 0.722565i | ||||
\(609\) | −6.35981 | − | 4.62067i | −0.257712 | − | 0.187239i | ||||
\(610\) | 0.148152 | + | 0.402899i | 0.00599852 | + | 0.0163129i | ||||
\(611\) | −0.860891 | − | 2.64955i | −0.0348279 | − | 0.107189i | ||||
\(612\) | −5.45297 | + | 8.85626i | −0.220423 | + | 0.357993i | ||||
\(613\) | −0.253339 | − | 0.348691i | −0.0102323 | − | 0.0140835i | 0.803870 | − | 0.594805i | \(-0.202771\pi\) |
−0.814102 | + | 0.580721i | \(0.802771\pi\) | |||||||
\(614\) | −36.4075 | − | 10.3096i | −1.46929 | − | 0.416063i | ||||
\(615\) | 0.0517434 | 0.00208650 | ||||||||
\(616\) | −28.9417 | + | 0.838304i | −1.16610 | + | 0.0337762i | ||||
\(617\) | 21.7056 | 0.873834 | 0.436917 | − | 0.899502i | \(-0.356070\pi\) | ||||
0.436917 | + | 0.899502i | \(0.356070\pi\) | |||||||
\(618\) | 4.74645 | + | 1.34407i | 0.190930 | + | 0.0540663i | ||||
\(619\) | 6.71292 | + | 9.23955i | 0.269815 | + | 0.371369i | 0.922327 | − | 0.386410i | \(-0.126285\pi\) |
−0.652512 | + | 0.757778i | \(0.726285\pi\) | |||||||
\(620\) | 0.568387 | − | 0.923126i | 0.0228270 | − | 0.0370736i | ||||
\(621\) | 1.26423 | + | 3.89091i | 0.0507320 | + | 0.156137i | ||||
\(622\) | 10.3588 | + | 28.1705i | 0.415348 | + | 1.12953i | ||||
\(623\) | −36.1351 | − | 26.2537i | −1.44772 | − | 1.05183i | ||||
\(624\) | −1.13690 | + | 1.12731i | −0.0455126 | + | 0.0451284i | ||||
\(625\) | 7.70249 | − | 23.7058i | 0.308099 | − | 0.948233i | ||||
\(626\) | −0.272072 | − | 7.11690i | −0.0108742 | − | 0.284448i | ||||
\(627\) | −2.38409 | + | 5.64153i | −0.0952115 | + | 0.225301i | ||||
\(628\) | −11.0849 | + | 0.848768i | −0.442335 | + | 0.0338695i | ||||
\(629\) | 8.01248 | + | 2.60341i | 0.319479 | + | 0.103805i | ||||
\(630\) | 0.539200 | + | 0.685465i | 0.0214822 | + | 0.0273096i | ||||
\(631\) | 11.1962 | − | 15.4102i | 0.445713 | − | 0.613471i | −0.525757 | − | 0.850635i | \(-0.676218\pi\) |
0.971470 | + | 0.237164i | \(0.0762177\pi\) | |||||||
\(632\) | −16.3228 | + | 7.46210i | −0.649287 | + | 0.296827i | ||||
\(633\) | 3.03170 | − | 0.985059i | 0.120499 | − | 0.0391526i | ||||
\(634\) | 25.6721 | − | 38.3330i | 1.01957 | − | 1.52240i | ||||
\(635\) | 0.792991 | − | 0.576142i | 0.0314689 | − | 0.0228635i | ||||
\(636\) | −0.588711 | − | 0.142657i | −0.0233439 | − | 0.00565672i | ||||
\(637\) | − | 2.52644i | − | 0.100101i | ||||||
\(638\) | 16.3777 | + | 24.9511i | 0.648398 | + | 0.987822i | ||||
\(639\) | 38.7542i | 1.53309i | ||||||||
\(640\) | 0.795138 | + | 0.0371494i | 0.0314306 | + | 0.00146846i | ||||
\(641\) | −14.4777 | + | 10.5186i | −0.571834 | + | 0.415462i | −0.835771 | − | 0.549078i | \(-0.814979\pi\) |
0.263937 | + | 0.964540i | \(0.414979\pi\) | |||||||
\(642\) | 4.80868 | + | 3.22043i | 0.189784 | + | 0.127100i | ||||
\(643\) | −34.8922 | + | 11.3372i | −1.37602 | + | 0.447095i | −0.901358 | − | 0.433076i | \(-0.857428\pi\) |
−0.474658 | + | 0.880170i | \(0.657428\pi\) | |||||||
\(644\) | −9.99062 | + | 4.11347i | −0.393686 | + | 0.162093i | ||||
\(645\) | −0.129669 | + | 0.178475i | −0.00510573 | + | 0.00702743i | ||||
\(646\) | −9.39056 | + | 7.38680i | −0.369467 | + | 0.290630i | ||||
\(647\) | −20.7439 | − | 6.74011i | −0.815528 | − | 0.264981i | −0.128591 | − | 0.991698i | \(-0.541045\pi\) |
−0.686937 | + | 0.726717i | \(0.741045\pi\) | |||||||
\(648\) | 2.45347 | + | 21.3094i | 0.0963815 | + | 0.837111i | ||||
\(649\) | −26.8433 | − | 23.2596i | −1.05369 | − | 0.913018i | ||||
\(650\) | 7.05891 | − | 0.269855i | 0.276873 | − | 0.0105846i | ||||
\(651\) | 2.94112 | − | 9.05185i | 0.115272 | − | 0.354770i | ||||
\(652\) | 6.97007 | + | 8.19601i | 0.272969 | + | 0.320980i | ||||
\(653\) | −37.4303 | − | 27.1947i | −1.46476 | − | 1.06421i | −0.982091 | − | 0.188406i | \(-0.939668\pi\) |
−0.482668 | − | 0.875803i | \(-0.660332\pi\) | |||||||
\(654\) | 6.52033 | − | 2.39763i | 0.254965 | − | 0.0937547i | ||||
\(655\) | 0.432486 | + | 1.33106i | 0.0168986 | + | 0.0520086i | ||||
\(656\) | −3.36433 | + | 6.53425i | −0.131355 | + | 0.255120i | ||||
\(657\) | 13.8701 | + | 19.0905i | 0.541123 | + | 0.744791i | ||||
\(658\) | −3.31321 | + | 11.7003i | −0.129162 | + | 0.456125i | ||||
\(659\) | −25.5556 | −0.995504 | −0.497752 | − | 0.867319i | \(-0.665841\pi\) | ||||
−0.497752 | + | 0.867319i | \(0.665841\pi\) | |||||||
\(660\) | 0.0560789 | + | 0.178187i | 0.00218287 | + | 0.00693591i | ||||
\(661\) | −16.5334 | −0.643073 | −0.321537 | − | 0.946897i | \(-0.604199\pi\) | ||||
−0.321537 | + | 0.946897i | \(0.604199\pi\) | |||||||
\(662\) | −6.16987 | + | 21.7883i | −0.239799 | + | 0.846826i | ||||
\(663\) | −0.430823 | − | 0.592976i | −0.0167318 | − | 0.0230293i | ||||
\(664\) | 1.46159 | − | 2.59051i | 0.0567208 | − | 0.100531i | ||||
\(665\) | 0.309595 | + | 0.952837i | 0.0120056 | + | 0.0369494i | ||||
\(666\) | 17.3416 | − | 6.37679i | 0.671973 | − | 0.247095i | ||||
\(667\) | 9.01019 | + | 6.54629i | 0.348876 | + | 0.253473i | ||||
\(668\) | 9.42676 | − | 8.01672i | 0.364732 | − | 0.310176i | ||||
\(669\) | 1.09939 | − | 3.38357i | 0.0425048 | − | 0.130816i | ||||
\(670\) | −0.639136 | + | 0.0244335i | −0.0246920 | + | 0.000943949i | ||||
\(671\) | −3.24099 | − | 13.9370i | −0.125117 | − | 0.538032i | ||||
\(672\) | 6.86138 | − | 1.32707i | 0.264684 | − | 0.0511927i | ||||
\(673\) | 21.7414 | + | 7.06420i | 0.838069 | + | 0.272305i | 0.696440 | − | 0.717615i | \(-0.254766\pi\) |
0.141628 | + | 0.989920i | \(0.454766\pi\) | |||||||
\(674\) | 35.5541 | − | 27.9676i | 1.36949 | − | 1.07727i | ||||
\(675\) | −6.86281 | + | 9.44584i | −0.264150 | + | 0.363571i | ||||
\(676\) | 0.761450 | + | 1.84938i | 0.0292865 | + | 0.0711299i | ||||
\(677\) | 5.77279 | − | 1.87569i | 0.221867 | − | 0.0720888i | −0.195974 | − | 0.980609i | \(-0.562787\pi\) |
0.417841 | + | 0.908520i | \(0.362787\pi\) | |||||||
\(678\) | −3.01888 | − | 2.02178i | −0.115939 | − | 0.0776459i | ||||
\(679\) | −13.9448 | + | 10.1315i | −0.535152 | + | 0.388811i | ||||
\(680\) | −0.0722285 | + | 0.357180i | −0.00276984 | + | 0.0136972i | ||||
\(681\) | 8.93834i | 0.342518i | ||||||||
\(682\) | −22.6029 | + | 28.1933i | −0.865508 | + | 1.07958i | ||||
\(683\) | − | 8.69447i | − | 0.332685i | −0.986068 | − | 0.166342i | \(-0.946804\pi\) | ||
0.986068 | − | 0.166342i | \(-0.0531957\pi\) | |||||||
\(684\) | −6.17096 | + | 25.4660i | −0.235952 | + | 0.973718i | ||||
\(685\) | −0.549628 | + | 0.399328i | −0.0210002 | + | 0.0152576i | ||||
\(686\) | 10.8658 | − | 16.2245i | 0.414857 | − | 0.619455i | ||||
\(687\) | −6.89529 | + | 2.24042i | −0.263072 | + | 0.0854772i | ||||
\(688\) | −14.1071 | − | 27.9792i | −0.537827 | − | 1.06670i | ||||
\(689\) | −0.444769 | + | 0.612173i | −0.0169444 | + | 0.0233219i | ||||
\(690\) | 0.0430969 | + | 0.0547875i | 0.00164067 | + | 0.00208572i | ||||
\(691\) | 24.5356 | + | 7.97209i | 0.933377 | + | 0.303273i | 0.735943 | − | 0.677044i | \(-0.236739\pi\) |
0.197434 | + | 0.980316i | \(0.436739\pi\) | |||||||
\(692\) | 1.69059 | + | 22.0790i | 0.0642666 | + | 0.839319i | ||||
\(693\) | −15.0119 | − | 24.8941i | −0.570256 | − | 0.945650i | ||||
\(694\) | 1.70579 | + | 44.6202i | 0.0647507 | + | 1.69376i | ||||
\(695\) | −0.124215 | + | 0.382295i | −0.00471175 | + | 0.0145013i | ||||
\(696\) | −4.87315 | − | 5.30548i | −0.184716 | − | 0.201104i | ||||
\(697\) | −2.72201 | − | 1.97765i | −0.103103 | − | 0.0749089i | ||||
\(698\) | 1.40713 | + | 3.82668i | 0.0532608 | + | 0.144842i | ||||
\(699\) | 0.650154 | + | 2.00097i | 0.0245911 | + | 0.0756836i | ||||
\(700\) | −26.2564 | − | 16.1666i | −0.992400 | − | 0.611040i | ||||
\(701\) | 11.7002 | + | 16.1039i | 0.441909 | + | 0.608235i | 0.970635 | − | 0.240557i | \(-0.0773302\pi\) |
−0.528726 | + | 0.848792i | \(0.677330\pi\) | |||||||
\(702\) | −3.18060 | − | 0.900660i | −0.120044 | − | 0.0339932i | ||||
\(703\) | 21.2257 | 0.800544 | ||||||||
\(704\) | −26.1480 | − | 4.50385i | −0.985488 | − | 0.169745i | ||||
\(705\) | 0.0784555 | 0.00295480 | ||||||||
\(706\) | 10.7659 | + | 3.04863i | 0.405181 | + | 0.114737i | ||||
\(707\) | 0.321713 | + | 0.442800i | 0.0120993 | + | 0.0166532i | ||||
\(708\) | 7.30022 | + | 4.49489i | 0.274359 | + | 0.168928i | ||||
\(709\) | 8.03377 | + | 24.7254i | 0.301714 | + | 0.928581i | 0.980883 | + | 0.194599i | \(0.0623406\pi\) |
−0.679168 | + | 0.733982i | \(0.737659\pi\) | |||||||
\(710\) | 0.468632 | + | 1.27444i | 0.0175874 | + | 0.0478289i | ||||
\(711\) | −14.5783 | − | 10.5917i | −0.546728 | − | 0.397221i | ||||
\(712\) | −27.6882 | − | 30.1446i | −1.03766 | − | 1.12972i | ||||
\(713\) | −4.16681 | + | 12.8241i | −0.156048 | + | 0.480267i | ||||
\(714\) | 0.122218 | + | 3.19700i | 0.00457390 | + | 0.119645i | ||||
\(715\) | 0.232494 | + | 0.0199676i | 0.00869478 | + | 0.000746744i | ||||
\(716\) | 0.195996 | + | 2.55971i | 0.00732473 | + | 0.0956608i | ||||
\(717\) | 5.78744 | + | 1.88045i | 0.216136 | + | 0.0702268i | ||||
\(718\) | −22.7718 | − | 28.9489i | −0.849837 | − | 1.08037i | ||||
\(719\) | 4.73911 | − | 6.52283i | 0.176739 | − | 0.243261i | −0.711452 | − | 0.702735i | \(-0.751962\pi\) |
0.888191 | + | 0.459474i | \(0.151962\pi\) | |||||||
\(720\) | 0.359809 | + | 0.713627i | 0.0134093 | + | 0.0265953i | ||||
\(721\) | −25.5817 | + | 8.31198i | −0.952710 | + | 0.309554i | ||||
\(722\) | −1.79807 | + | 2.68483i | −0.0669171 | + | 0.0999192i | ||||
\(723\) | −8.47014 | + | 6.15392i | −0.315008 | + | 0.228867i | ||||
\(724\) | −2.24591 | + | 9.26833i | −0.0834686 | + | 0.344455i | ||||
\(725\) | 31.7844i | 1.18044i | ||||||||
\(726\) | −1.12101 | − | 6.12490i | −0.0416046 | − | 0.227316i | ||||
\(727\) | 34.1462i | 1.26641i | 0.773983 | + | 0.633206i | \(0.218262\pi\) | ||||
−0.773983 | + | 0.633206i | \(0.781738\pi\) | |||||||
\(728\) | 1.73033 | − | 8.55672i | 0.0641303 | − | 0.317133i | ||||
\(729\) | −15.1525 | + | 11.0089i | −0.561203 | + | 0.407738i | ||||
\(730\) | 0.686971 | + | 0.460073i | 0.0254259 | + | 0.0170281i | ||||
\(731\) | 13.6427 | − | 4.43279i | 0.504595 | − | 0.163953i | ||||
\(732\) | 1.31491 | + | 3.19360i | 0.0486005 | + | 0.118039i | ||||
\(733\) | 8.43422 | − | 11.6087i | 0.311525 | − | 0.428777i | −0.624331 | − | 0.781160i | \(-0.714628\pi\) |
0.935856 | + | 0.352383i | \(0.114628\pi\) | |||||||
\(734\) | −8.94221 | + | 7.03412i | −0.330063 | + | 0.259634i | ||||
\(735\) | 0.0676664 | + | 0.0219862i | 0.00249591 | + | 0.000810972i | ||||
\(736\) | −9.72080 | + | 1.88011i | −0.358313 | + | 0.0693017i | ||||
\(737\) | 21.2415 | + | 1.82431i | 0.782440 | + | 0.0671993i | ||||
\(738\) | −7.37363 | + | 0.281887i | −0.271427 | + | 0.0103764i | ||||
\(739\) | −3.52609 | + | 10.8522i | −0.129709 | + | 0.399205i | −0.994730 | − | 0.102532i | \(-0.967305\pi\) |
0.865020 | + | 0.501737i | \(0.167305\pi\) | |||||||
\(740\) | 0.493172 | − | 0.419404i | 0.0181294 | − | 0.0154176i | ||||
\(741\) | −1.49396 | − | 1.08543i | −0.0548820 | − | 0.0398741i | ||||
\(742\) | 3.09997 | − | 1.13991i | 0.113804 | − | 0.0418474i | ||||
\(743\) | 10.7133 | + | 32.9722i | 0.393034 | + | 1.20963i | 0.930482 | + | 0.366337i | \(0.119388\pi\) |
−0.537448 | + | 0.843297i | \(0.680612\pi\) | |||||||
\(744\) | 4.28587 | − | 7.59623i | 0.157127 | − | 0.278491i | ||||
\(745\) | −0.697409 | − | 0.959901i | −0.0255511 | − | 0.0351680i | ||||
\(746\) | −11.6335 | + | 41.0826i | −0.425933 | + | 1.50414i | ||||
\(747\) | 2.98634 | 0.109264 | ||||||||
\(748\) | 3.86028 | − | 11.5170i | 0.141146 | − | 0.421104i | ||||
\(749\) | −31.5567 | −1.15306 | ||||||||
\(750\) | −0.108458 | + | 0.383008i | −0.00396031 | + | 0.0139855i | ||||
\(751\) | −17.6076 | − | 24.2348i | −0.642511 | − | 0.884341i | 0.356235 | − | 0.934396i | \(-0.384060\pi\) |
−0.998746 | + | 0.0500552i | \(0.984060\pi\) | |||||||
\(752\) | −5.10113 | + | 9.90750i | −0.186019 | + | 0.361289i | ||||
\(753\) | −2.87159 | − | 8.83786i | −0.104647 | − | 0.322069i | ||||
\(754\) | −8.44599 | + | 3.10573i | −0.307585 | + | 0.113104i | ||||
\(755\) | 1.30347 | + | 0.947024i | 0.0474380 | + | 0.0344657i | ||||
\(756\) | 9.34767 | + | 10.9918i | 0.339971 | + | 0.399768i | ||||
\(757\) | −3.32984 | + | 10.2482i | −0.121025 | + | 0.372477i | −0.993156 | − | 0.116796i | \(-0.962738\pi\) |
0.872131 | + | 0.489273i | \(0.162738\pi\) | |||||||
\(758\) | −14.3040 | + | 0.546826i | −0.519543 | + | 0.0198616i | ||||
\(759\) | −1.19987 | − | 1.98973i | −0.0435524 | − | 0.0722225i | ||||
\(760\) | 0.105013 | + | 0.912078i | 0.00380922 | + | 0.0330846i | ||||
\(761\) | 44.6335 | + | 14.5023i | 1.61796 | + | 0.525708i | 0.971460 | − | 0.237203i | \(-0.0762305\pi\) |
0.646504 | + | 0.762911i | \(0.276231\pi\) | |||||||
\(762\) | 6.19823 | − | 4.87565i | 0.224538 | − | 0.176626i | ||||
\(763\) | −22.2654 | + | 30.6458i | −0.806063 | + | 1.10945i | ||||
\(764\) | 27.8552 | − | 11.4689i | 1.00777 | − | 0.414931i | ||||
\(765\) | −0.347966 | + | 0.113061i | −0.0125807 | + | 0.00408773i | ||||
\(766\) | 42.0844 | + | 28.1844i | 1.52057 | + | 1.01834i | ||||
\(767\) | 8.66397 | − | 6.29474i | 0.312838 | − | 0.227290i | ||||
\(768\) | 6.40399 | + | 0.0542835i | 0.231084 | + | 0.00195879i | ||||
\(769\) | 35.1066i | 1.26598i | 0.774161 | + | 0.632988i | \(0.218172\pi\) | ||||
−0.774161 | + | 0.632988i | \(0.781828\pi\) | |||||||
\(770\) | −0.794701 | − | 0.637119i | −0.0286390 | − | 0.0229602i | ||||
\(771\) | 5.68253i | 0.204651i | ||||||||
\(772\) | −19.7897 | − | 4.79546i | −0.712247 | − | 0.172592i | ||||
\(773\) | −19.2101 | + | 13.9569i | −0.690938 | + | 0.501996i | −0.876968 | − | 0.480548i | \(-0.840438\pi\) |
0.186030 | + | 0.982544i | \(0.440438\pi\) | |||||||
\(774\) | 17.5061 | − | 26.1397i | 0.629244 | − | 0.939573i | ||||
\(775\) | −36.5987 | + | 11.8916i | −1.31466 | + | 0.427160i | ||||
\(776\) | −14.3655 | + | 6.56732i | −0.515693 | + | 0.235753i | ||||
\(777\) | 3.34085 | − | 4.59829i | 0.119852 | − | 0.164963i | ||||
\(778\) | 5.66850 | + | 7.20615i | 0.203225 | + | 0.258353i | ||||
\(779\) | −8.06194 | − | 2.61948i | −0.288849 | − | 0.0938527i | ||||
\(780\) | −0.0561588 | + | 0.00430007i | −0.00201081 | + | 0.000153967i | ||||
\(781\) | −10.2518 | − | 44.0851i | −0.366839 | − | 1.57749i | ||||
\(782\) | −0.173151 | − | 4.52932i | −0.00619188 | − | 0.161968i | ||||
\(783\) | 4.59621 | − | 14.1457i | 0.164255 | − | 0.505526i | ||||
\(784\) | −7.17608 | + | 7.11551i | −0.256289 | + | 0.254125i | ||||
\(785\) | −0.316402 | − | 0.229880i | −0.0112929 | − | 0.00820475i | ||||
\(786\) | 3.88610 | + | 10.5682i | 0.138612 | + | 0.376955i | ||||
\(787\) | 0.100871 | + | 0.310450i | 0.00359567 | + | 0.0110663i | 0.952838 | − | 0.303479i | \(-0.0981481\pi\) |
−0.949243 | + | 0.314545i | \(0.898148\pi\) | |||||||
\(788\) | 26.8887 | − | 43.6704i | 0.957871 | − | 1.55569i | ||||
\(789\) | 1.25647 | + | 1.72939i | 0.0447316 | + | 0.0615677i | ||||
\(790\) | −0.607490 | − | 0.172025i | −0.0216135 | − | 0.00612037i | ||||
\(791\) | 19.8112 | 0.704406 | ||||||||
\(792\) | −8.96218 | − | 25.0868i | −0.318457 | − | 0.891420i | ||||
\(793\) | 4.31429 | 0.153205 | ||||||||
\(794\) | 37.1021 | + | 10.5063i | 1.31670 | + | 0.372855i | ||||
\(795\) | −0.0125254 | − | 0.0172398i | −0.000444231 | − | 0.000611431i | ||||
\(796\) | −9.95140 | + | 16.1622i | −0.352718 | + | 0.572855i | ||||
\(797\) | 5.65495 | + | 17.4042i | 0.200309 | + | 0.616487i | 0.999873 | + | 0.0159070i | \(0.00506355\pi\) |
−0.799565 | + | 0.600580i | \(0.794936\pi\) | |||||||
\(798\) | 2.78186 | + | 7.56525i | 0.0984769 | + | 0.267807i | ||||
\(799\) | −4.12722 | − | 2.99860i | −0.146010 | − | 0.106083i | ||||
\(800\) | −20.6473 | − | 19.2900i | −0.729993 | − | 0.682006i | ||||
\(801\) | 12.6991 | − | 39.0840i | 0.448702 | − | 1.38096i | ||||
\(802\) | −1.11611 | − | 29.1955i | −0.0394114 | − | 1.03093i | ||||
\(803\) | −20.8281 | − | 18.0475i | −0.735008 | − | 0.636881i | ||||
\(804\) | −5.13087 | + | 0.392870i | −0.180952 | + | 0.0138555i | ||||
\(805\) | −0.361480 | − | 0.117452i | −0.0127405 | − | 0.00413964i | ||||
\(806\) | −6.73607 | − | 8.56331i | −0.237268 | − | 0.301630i | ||||
\(807\) | −1.32563 | + | 1.82458i | −0.0466645 | + | 0.0642281i | ||||
\(808\) | 0.208537 | + | 0.456160i | 0.00733631 | + | 0.0160477i | ||||
\(809\) | −6.50796 | + | 2.11456i | −0.228808 | + | 0.0743441i | −0.421177 | − | 0.906978i | \(-0.638383\pi\) |
0.192369 | + | 0.981323i | \(0.438383\pi\) | |||||||
\(810\) | −0.419893 | + | 0.626974i | −0.0147535 | + | 0.0220296i | ||||
\(811\) | 39.5454 | − | 28.7314i | 1.38863 | − | 1.00890i | 0.392611 | − | 0.919705i | \(-0.371572\pi\) |
0.996015 | − | 0.0891912i | \(-0.0284282\pi\) | |||||||
\(812\) | 38.1750 | + | 9.25062i | 1.33968 | + | 0.324633i | ||||
\(813\) | − | 4.36752i | − | 0.153176i | ||||||
\(814\) | −18.0402 | + | 11.8414i | −0.632309 | + | 0.415042i | ||||
\(815\) | 0.378489i | 0.0132579i | ||||||||
\(816\) | −0.470909 | + | 2.89377i | −0.0164851 | + | 0.101302i | ||||
\(817\) | 29.2385 | − | 21.2430i | 1.02292 | − | 0.743198i | ||||
\(818\) | −34.0890 | − | 22.8298i | −1.19189 | − | 0.798226i | ||||
\(819\) | 8.33600 | − | 2.70853i | 0.291283 | − | 0.0946437i | ||||
\(820\) | −0.239075 | + | 0.0984351i | −0.00834886 | + | 0.00343750i | ||||
\(821\) | 17.3630 | − | 23.8982i | 0.605974 | − | 0.834051i | −0.390265 | − | 0.920703i | \(-0.627617\pi\) |
0.996239 | + | 0.0866512i | \(0.0276166\pi\) | |||||||
\(822\) | −4.29604 | + | 3.37935i | −0.149842 | + | 0.117868i | ||||
\(823\) | −16.4585 | − | 5.34768i | −0.573706 | − | 0.186408i | 0.00777311 | − | 0.999970i | \(-0.497526\pi\) |
−0.581479 | + | 0.813561i | \(0.697526\pi\) | |||||||
\(824\) | −24.4874 | + | 2.81937i | −0.853058 | + | 0.0982176i | ||||
\(825\) | 2.58123 | − | 6.10803i | 0.0898670 | − | 0.212654i | ||||
\(826\) | −46.7114 | + | 1.78573i | −1.62530 | + | 0.0621334i | ||||
\(827\) | −2.69115 | + | 8.28250i | −0.0935804 | + | 0.288011i | −0.986881 | − | 0.161449i | \(-0.948383\pi\) |
0.893301 | + | 0.449459i | \(0.148383\pi\) | |||||||
\(828\) | −6.43995 | − | 7.57265i | −0.223804 | − | 0.263168i | ||||
\(829\) | 10.9936 | + | 7.98732i | 0.381823 | + | 0.277411i | 0.762097 | − | 0.647463i | \(-0.224170\pi\) |
−0.380273 | + | 0.924874i | \(0.624170\pi\) | |||||||
\(830\) | 0.0982065 | − | 0.0361121i | 0.00340880 | − | 0.00125347i | ||||
\(831\) | −2.60630 | − | 8.02135i | −0.0904114 | − | 0.278258i | ||||
\(832\) | 3.10839 | − | 7.37142i | 0.107764 | − | 0.255558i | ||||
\(833\) | −2.71933 | − | 3.74284i | −0.0942192 | − | 0.129682i | ||||
\(834\) | −0.881140 | + | 3.11166i | −0.0305114 | + | 0.107748i | ||||
\(835\) | 0.435325 | 0.0150650 | ||||||||
\(836\) | 0.283171 | − | 30.6015i | 0.00979368 | − | 1.05838i | ||||
\(837\) | 18.0079 | 0.622443 | ||||||||
\(838\) | 11.9851 | − | 42.3242i | 0.414018 | − | 1.46207i | ||||
\(839\) | 10.9732 | + | 15.1033i | 0.378837 | + | 0.521424i | 0.955276 | − | 0.295716i | \(-0.0955582\pi\) |
−0.576439 | + | 0.817140i | \(0.695558\pi\) | |||||||
\(840\) | 0.214119 | + | 0.120808i | 0.00738781 | + | 0.00416827i | ||||
\(841\) | −3.55065 | − | 10.9278i | −0.122436 | − | 0.376820i | ||||
\(842\) | 23.3748 | − | 8.59531i | 0.805550 | − | 0.296214i | ||||
\(843\) | −0.752548 | − | 0.546758i | −0.0259191 | − | 0.0188313i | ||||
\(844\) | −12.1337 | + | 10.3188i | −0.417659 | + | 0.355187i | ||||
\(845\) | −0.0217417 | + | 0.0669141i | −0.000747937 | + | 0.00230191i | ||||
\(846\) | −11.1802 | + | 0.427408i | −0.384383 | + | 0.0146946i | ||||
\(847\) | 23.6623 | + | 24.3474i | 0.813047 | + | 0.836586i | ||||
\(848\) | 2.99146 | − | 0.460814i | 0.102727 | − | 0.0158244i | ||||
\(849\) | 6.57935 | + | 2.13776i | 0.225803 | + | 0.0733677i | ||||
\(850\) | 10.1671 | − | 7.99762i | 0.348728 | − | 0.274316i | ||||
\(851\) | −4.73312 | + | 6.51458i | −0.162249 | + | 0.223317i | ||||
\(852\) | 4.15929 | + | 10.1019i | 0.142495 | + | 0.346086i | ||||
\(853\) | 25.1439 | − | 8.16974i | 0.860909 | − | 0.279726i | 0.154901 | − | 0.987930i | \(-0.450494\pi\) |
0.706008 | + | 0.708204i | \(0.250494\pi\) | |||||||
\(854\) | −15.6469 | − | 10.4789i | −0.535425 | − | 0.358581i | ||||
\(855\) | −0.745745 | + | 0.541816i | −0.0255040 | + | 0.0185297i | ||||
\(856\) | −28.3445 | − | 5.73179i | −0.968795 | − | 0.195909i | ||||
\(857\) | − | 12.4011i | − | 0.423614i | −0.977312 | − | 0.211807i | \(-0.932065\pi\) | ||
0.977312 | − | 0.211807i | \(-0.0679348\pi\) | |||||||
\(858\) | 1.87529 | + | 0.0890748i | 0.0640213 | + | 0.00304096i | ||||
\(859\) | − | 47.3299i | − | 1.61488i | −0.589953 | − | 0.807438i | \(-0.700854\pi\) | ||
0.589953 | − | 0.807438i | \(-0.299146\pi\) | |||||||
\(860\) | 0.259599 | − | 1.07130i | 0.00885226 | − | 0.0365311i | ||||
\(861\) | −1.83640 | + | 1.33422i | −0.0625843 | + | 0.0454701i | ||||
\(862\) | −27.4507 | + | 40.9888i | −0.934975 | + | 1.39608i | ||||
\(863\) | −8.07432 | + | 2.62351i | −0.274853 | + | 0.0893052i | −0.443200 | − | 0.896423i | \(-0.646157\pi\) |
0.168347 | + | 0.985728i | \(0.446157\pi\) | |||||||
\(864\) | 6.39966 | + | 11.5708i | 0.217721 | + | 0.393646i | ||||
\(865\) | −0.457878 | + | 0.630215i | −0.0155683 | + | 0.0214279i | ||||
\(866\) | −4.94393 | − | 6.28503i | −0.168002 | − | 0.213574i | ||||
\(867\) | 5.19495 | + | 1.68794i | 0.176430 | + | 0.0573255i | ||||
\(868\) | 3.63081 | + | 47.4182i | 0.123238 | + | 1.60948i | ||||
\(869\) | 19.3855 | + | 8.19226i | 0.657609 | + | 0.277903i | ||||
\(870\) | −0.00968105 | − | 0.253239i | −0.000328218 | − | 0.00858559i | ||||
\(871\) | −1.98640 | + | 6.11351i | −0.0673066 | + | 0.207148i | ||||
\(872\) | −25.5653 | + | 23.4821i | −0.865751 | + | 0.795203i | ||||
\(873\) | −12.8302 | − | 9.32167i | −0.434236 | − | 0.315491i | ||||
\(874\) | −3.94118 | − | 10.7180i | −0.133312 | − | 0.362541i | ||||
\(875\) | −0.670724 | − | 2.06428i | −0.0226746 | − | 0.0697853i | ||||
\(876\) | 5.66435 | + | 3.48765i | 0.191381 | + | 0.117837i | ||||
\(877\) | −11.1732 | − | 15.3785i | −0.377291 | − | 0.519296i | 0.577574 | − | 0.816339i | \(-0.304000\pi\) |
−0.954864 | + | 0.297043i | \(0.904000\pi\) | |||||||
\(878\) | 45.1105 | + | 12.7741i | 1.52240 | + | 0.431104i | ||||
\(879\) | 5.16785 | 0.174307 | ||||||||
\(880\) | −0.598084 | − | 0.716610i | −0.0201614 | − | 0.0241569i | ||||
\(881\) | −26.3930 | −0.889202 | −0.444601 | − | 0.895729i | \(-0.646654\pi\) | ||||
−0.444601 | + | 0.895729i | \(0.646654\pi\) | |||||||
\(882\) | −9.76251 | − | 2.76448i | −0.328721 | − | 0.0930849i | ||||
\(883\) | 1.05678 | + | 1.45453i | 0.0355634 | + | 0.0489489i | 0.826428 | − | 0.563042i | \(-0.190369\pi\) |
−0.790865 | + | 0.611991i | \(0.790369\pi\) | |||||||
\(884\) | 3.11863 | + | 1.92020i | 0.104891 | + | 0.0645834i | ||||
\(885\) | 0.0931964 | + | 0.286829i | 0.00313276 | + | 0.00964165i | ||||
\(886\) | −11.2954 | − | 30.7178i | −0.379478 | − | 1.03199i | ||||
\(887\) | 11.6519 | + | 8.46559i | 0.391232 | + | 0.284247i | 0.765960 | − | 0.642888i | \(-0.222264\pi\) |
−0.374728 | + | 0.927135i | \(0.622264\pi\) | |||||||
\(888\) | 3.83599 | − | 3.52340i | 0.128727 | − | 0.118238i | ||||
\(889\) | −13.2876 | + | 40.8951i | −0.445652 | + | 1.37158i | ||||
\(890\) | −0.0550057 | − | 1.43885i | −0.00184380 | − | 0.0482303i | ||||
\(891\) | 16.4713 | − | 19.0091i | 0.551809 | − | 0.636829i | ||||
\(892\) | 1.35719 | + | 17.7249i | 0.0454421 | + | 0.593472i | ||||
\(893\) | −12.2238 | − | 3.97177i | −0.409055 | − | 0.132910i | ||||
\(894\) | −5.90189 | − | 7.50284i | −0.197389 | − | 0.250933i | ||||
\(895\) | −0.0530835 | + | 0.0730632i | −0.00177439 | + | 0.00244223i | ||||
\(896\) | −29.1778 | + | 19.1845i | −0.974760 | + | 0.640908i | ||||
\(897\) | 0.666276 | − | 0.216486i | 0.0222463 | − | 0.00722826i | ||||
\(898\) | −7.99742 | + | 11.9416i | −0.266877 | + | 0.398496i | ||||
\(899\) | 39.6599 | − | 28.8146i | 1.32273 | − | 0.961021i | ||||
\(900\) | 6.68123 | − | 27.5718i | 0.222708 | − | 0.919061i | ||||
\(901\) | 1.38564i | 0.0461623i | ||||||||
\(902\) | 8.31338 | − | 2.27125i | 0.276805 | − | 0.0756243i | ||||
\(903\) | − | 9.67772i | − | 0.322054i | ||||||
\(904\) | 17.7946 | + | 3.59840i | 0.591839 | + | 0.119681i | ||||
\(905\) | −0.271413 | + | 0.197193i | −0.00902207 | + | 0.00655492i | ||||
\(906\) | 10.7704 | + | 7.21305i | 0.357822 | + | 0.239638i | ||||
\(907\) | −16.4391 | + | 5.34138i | −0.545851 | + | 0.177358i | −0.568945 | − | 0.822376i | \(-0.692648\pi\) |
0.0230940 | + | 0.999733i | \(0.492648\pi\) | |||||||
\(908\) | −17.0040 | − | 41.2987i | −0.564299 | − | 1.37055i | ||||
\(909\) | −0.295998 | + | 0.407407i | −0.00981764 | + | 0.0135128i | ||||
\(910\) | 0.241379 | − | 0.189873i | 0.00800163 | − | 0.00629424i | ||||
\(911\) | −12.3162 | − | 4.00177i | −0.408054 | − | 0.132585i | 0.0977957 | − | 0.995207i | \(-0.468821\pi\) |
−0.505849 | + | 0.862622i | \(0.668821\pi\) | |||||||
\(912\) | 1.12458 | + | 7.30044i | 0.0372386 | + | 0.241742i | ||||
\(913\) | −3.39714 | + | 0.789991i | −0.112429 | + | 0.0261449i | ||||
\(914\) | 11.5920 | − | 0.443152i | 0.383430 | − | 0.0146582i | ||||
\(915\) | −0.0375447 | + | 0.115551i | −0.00124119 | + | 0.00381999i | ||||
\(916\) | 27.5969 | − | 23.4690i | 0.911827 | − | 0.775438i | ||||
\(917\) | −49.6709 | − | 36.0880i | −1.64028 | − | 1.19173i | ||||
\(918\) | −5.68137 | + | 2.08913i | −0.187513 | + | 0.0689516i | ||||
\(919\) | 9.78072 | + | 30.1020i | 0.322636 | + | 0.992972i | 0.972496 | + | 0.232918i | \(0.0748274\pi\) |
−0.649860 | + | 0.760054i | \(0.725173\pi\) | |||||||
\(920\) | −0.303351 | − | 0.171154i | −0.0100012 | − | 0.00564277i | ||||
\(921\) | −6.29492 | − | 8.66421i | −0.207425 | − | 0.285495i | ||||
\(922\) | −8.25608 | + | 29.1556i | −0.271900 | + | 0.960188i | ||||
\(923\) | 13.6468 | 0.449191 | ||||||||
\(924\) | −6.58487 | − | 4.87792i | −0.216626 | − | 0.160472i | ||||
\(925\) | −22.9809 | −0.755607 | ||||||||
\(926\) | −6.13649 | + | 21.6704i | −0.201658 | + | 0.712135i | ||||
\(927\) | −14.5466 | − | 20.0217i | −0.477773 | − | 0.657598i | ||||
\(928\) | 32.6089 | + | 15.2429i | 1.07044 | + | 0.500372i | ||||
\(929\) | 14.8720 | + | 45.7713i | 0.487934 | + | 1.50171i | 0.827685 | + | 0.561192i | \(0.189657\pi\) |
−0.339751 | + | 0.940515i | \(0.610343\pi\) | |||||||
\(930\) | 0.287974 | − | 0.105893i | 0.00944302 | − | 0.00347235i | ||||
\(931\) | −9.42981 | − | 6.85116i | −0.309050 | − | 0.224538i | ||||
\(932\) | −6.81056 | − | 8.00844i | −0.223087 | − | 0.262325i | ||||
\(933\) | −2.62511 | + | 8.07925i | −0.0859422 | + | 0.264503i | ||||
\(934\) | −28.2120 | + | 1.07852i | −0.923125 | + | 0.0352901i | ||||
\(935\) | 0.365924 | − | 0.220663i | 0.0119670 | − | 0.00721645i | ||||
\(936\) | 7.97942 | − | 0.918718i | 0.260816 | − | 0.0300292i | ||||
\(937\) | 23.3277 | + | 7.57962i | 0.762081 | + | 0.247615i | 0.664172 | − | 0.747580i | \(-0.268784\pi\) |
0.0979097 | + | 0.995195i | \(0.468784\pi\) | |||||||
\(938\) | 22.0532 | − | 17.3475i | 0.720063 | − | 0.566416i | ||||
\(939\) | 1.18483 | − | 1.63078i | 0.0386656 | − | 0.0532187i | ||||
\(940\) | −0.362495 | + | 0.149251i | −0.0118233 | + | 0.00486804i | ||||
\(941\) | 30.4352 | − | 9.88900i | 0.992159 | − | 0.322372i | 0.232431 | − | 0.972613i | \(-0.425332\pi\) |
0.759728 | + | 0.650241i | \(0.225332\pi\) | |||||||
\(942\) | −2.61439 | − | 1.75089i | −0.0851814 | − | 0.0570470i | ||||
\(943\) | 2.60170 | − | 1.89025i | 0.0847230 | − | 0.0615549i | ||||
\(944\) | −42.2808 | − | 6.88044i | −1.37612 | − | 0.223939i | ||||
\(945\) | 0.507598i | 0.0165122i | ||||||||
\(946\) | −12.9993 | + | 34.3665i | −0.422645 | + | 1.11735i | ||||
\(947\) | 17.0919i | 0.555411i | 0.960666 | + | 0.277705i | \(0.0895739\pi\) | ||||
−0.960666 | + | 0.277705i | \(0.910426\pi\) | |||||||
\(948\) | −4.93683 | − | 1.19630i | −0.160341 | − | 0.0388539i | ||||
\(949\) | 6.72251 | − | 4.88419i | 0.218222 | − | 0.158547i | ||||
\(950\) | 18.1350 | − | 27.0788i | 0.588377 | − | 0.878551i | ||||
\(951\) | 12.4186 | − | 4.03504i | 0.402700 | − | 0.130845i | ||||
\(952\) | −6.64658 | − | 14.5389i | −0.215417 | − | 0.471209i | ||||
\(953\) | −17.9897 | + | 24.7607i | −0.582745 | + | 0.802079i | −0.993993 | − | 0.109444i | \(-0.965093\pi\) |
0.411248 | + | 0.911523i | \(0.365093\pi\) | |||||||
\(954\) | 1.87884 | + | 2.38850i | 0.0608297 | + | 0.0773304i | ||||
\(955\) | 1.00786 | + | 0.327472i | 0.0326135 | + | 0.0105968i | ||||
\(956\) | −30.3176 | + | 2.32141i | −0.980540 | + | 0.0750798i | ||||
\(957\) | −0.722827 | + | 8.41630i | −0.0233657 | + | 0.272060i | ||||
\(958\) | 1.82272 | + | 47.6791i | 0.0588895 | + | 1.54044i | ||||
\(959\) | 9.20975 | − | 28.3447i | 0.297398 | − | 0.915298i | ||||
\(960\) | 0.170380 | + | 0.147402i | 0.00549900 | + | 0.00475738i | ||||
\(961\) | 22.9376 | + | 16.6652i | 0.739923 | + | 0.537586i | ||||
\(962\) | −2.24551 | − | 6.10665i | −0.0723983 | − | 0.196886i | ||||
\(963\) | −8.97212 | − | 27.6133i | −0.289122 | − | 0.889828i | ||||
\(964\) | 27.4284 | − | 44.5469i | 0.883409 | − | 1.43476i | ||||
\(965\) | −0.421046 | − | 0.579520i | −0.0135540 | − | 0.0186554i | ||||
\(966\) | −2.94224 | − | 0.833165i | −0.0946652 | − | 0.0268067i | ||||
\(967\) | 49.6356 | 1.59617 | 0.798087 | − | 0.602543i | \(-0.205846\pi\) | ||||
0.798087 | + | 0.602543i | \(0.205846\pi\) | |||||||
\(968\) | 16.8313 | + | 26.1669i | 0.540980 | + | 0.841036i | ||||
\(969\) | −3.38155 | −0.108631 | ||||||||
\(970\) | −0.534645 | − | 0.151397i | −0.0171664 | − | 0.00486107i | ||||
\(971\) | −11.0061 | − | 15.1486i | −0.353202 | − | 0.486141i | 0.595037 | − | 0.803698i | \(-0.297137\pi\) |
−0.948239 | + | 0.317557i | \(0.897137\pi\) | |||||||
\(972\) | −10.5363 | + | 17.1121i | −0.337951 | + | 0.548872i | ||||
\(973\) | −5.44915 | − | 16.7708i | −0.174692 | − | 0.537646i | ||||
\(974\) | 12.7858 | + | 34.7710i | 0.409685 | + | 1.11413i | ||||
\(975\) | 1.61750 | + | 1.17518i | 0.0518014 | + | 0.0376359i | ||||
\(976\) | −12.1508 | − | 12.2543i | −0.388938 | − | 0.392249i | ||||
\(977\) | 5.92397 | − | 18.2321i | 0.189525 | − | 0.583297i | −0.810472 | − | 0.585777i | \(-0.800789\pi\) |
0.999997 | + | 0.00248013i | \(0.000789452\pi\) | |||||||
\(978\) | 0.116327 | + | 3.04289i | 0.00371972 | + | 0.0973010i | ||||
\(979\) | −4.10696 | + | 47.8197i | −0.131259 | + | 1.52832i | ||||
\(980\) | −0.354472 | + | 0.0271418i | −0.0113232 | + | 0.000867014i | ||||
\(981\) | −33.1467 | − | 10.7700i | −1.05829 | − | 0.343860i | ||||
\(982\) | 17.1793 | + | 21.8394i | 0.548214 | + | 0.696923i | ||||
\(983\) | −19.0033 | + | 26.1558i | −0.606111 | + | 0.834240i | −0.996250 | − | 0.0865156i | \(-0.972427\pi\) |
0.390140 | + | 0.920756i | \(0.372427\pi\) | |||||||
\(984\) | −1.89181 | + | 0.864854i | −0.0603086 | + | 0.0275705i | ||||
\(985\) | 1.71583 | − | 0.557507i | 0.0546709 | − | 0.0177637i | ||||
\(986\) | −9.16959 | + | 13.6918i | −0.292019 | + | 0.436037i | ||||
\(987\) | −2.78442 | + | 2.02300i | −0.0886291 | + | 0.0643928i | ||||
\(988\) | 8.96758 | + | 2.17303i | 0.285297 | + | 0.0691334i | ||||
\(989\) | 13.7108i | 0.435979i | ||||||||
\(990\) | 0.331556 | − | 0.876538i | 0.0105376 | − | 0.0278582i | ||||
\(991\) | − | 27.2723i | − | 0.866332i | −0.901314 | − | 0.433166i | \(-0.857396\pi\) | ||
0.901314 | − | 0.433166i | \(-0.142604\pi\) | |||||||
\(992\) | −5.35157 | + | 43.2509i | −0.169912 | + | 1.37322i | ||||
\(993\) | −5.18515 | + | 3.76723i | −0.164546 | + | 0.119550i | ||||
\(994\) | −49.4938 | − | 33.1466i | −1.56985 | − | 1.05135i | ||||
\(995\) | −0.635022 | + | 0.206331i | −0.0201315 | + | 0.00654113i | ||||
\(996\) | 0.778439 | − | 0.320509i | 0.0246658 | − | 0.0101557i | ||||
\(997\) | −33.6225 | + | 46.2774i | −1.06484 | + | 1.46562i | −0.189640 | + | 0.981854i | \(0.560732\pi\) |
−0.875196 | + | 0.483768i | \(0.839268\pi\) | |||||||
\(998\) | 39.0675 | − | 30.7312i | 1.23666 | − | 0.972781i | ||||
\(999\) | 10.2277 | + | 3.32317i | 0.323589 | + | 0.105140i |
(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 | 572.2.y.a.79.6 | ✓ | 288 | |
4.3 | odd | 2 | inner | 572.2.y.a.79.9 | yes | 288 | |
11.6 | odd | 10 | inner | 572.2.y.a.391.9 | yes | 288 | |
44.39 | even | 10 | inner | 572.2.y.a.391.6 | yes | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
572.2.y.a.79.6 | ✓ | 288 | 1.1 | even | 1 | trivial | |
572.2.y.a.79.9 | yes | 288 | 4.3 | odd | 2 | inner | |
572.2.y.a.391.6 | yes | 288 | 44.39 | even | 10 | inner | |
572.2.y.a.391.9 | yes | 288 | 11.6 | odd | 10 | inner |