Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(13,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([19, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.s (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 13.6 | ||
Character | \(\chi\) | \(=\) | 175.13 |
Dual form | 175.2.s.a.27.6 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{19}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23441 | + | 0.195511i | −0.872859 | + | 0.138247i | −0.576764 | − | 0.816911i | \(-0.695685\pi\) |
−0.296095 | + | 0.955158i | \(0.595685\pi\) | |||||||
\(3\) | 0.157781 | + | 0.0803936i | 0.0910951 | + | 0.0464153i | 0.498944 | − | 0.866634i | \(-0.333721\pi\) |
−0.407849 | + | 0.913049i | \(0.633721\pi\) | |||||||
\(4\) | −0.416571 | + | 0.135352i | −0.208286 | + | 0.0676761i | ||||
\(5\) | −0.231923 | + | 2.22401i | −0.103719 | + | 0.994607i | ||||
\(6\) | −0.210485 | − | 0.0683906i | −0.0859300 | − | 0.0279204i | ||||
\(7\) | −2.64293 | − | 0.122096i | −0.998935 | − | 0.0461480i | ||||
\(8\) | 2.71491 | − | 1.38332i | 0.959866 | − | 0.489076i | ||||
\(9\) | −1.74492 | − | 2.40168i | −0.581641 | − | 0.800561i | ||||
\(10\) | −0.148530 | − | 2.79068i | −0.0469693 | − | 0.882490i | ||||
\(11\) | −3.51525 | − | 2.55398i | −1.05989 | − | 0.770053i | −0.0858201 | − | 0.996311i | \(-0.527351\pi\) |
−0.974068 | + | 0.226257i | \(0.927351\pi\) | |||||||
\(12\) | −0.0766087 | − | 0.0121336i | −0.0221150 | − | 0.00350267i | ||||
\(13\) | −0.920768 | + | 5.81350i | −0.255375 | + | 1.61238i | 0.442917 | + | 0.896562i | \(0.353944\pi\) |
−0.698292 | + | 0.715813i | \(0.746056\pi\) | |||||||
\(14\) | 3.28633 | − | 0.366007i | 0.878309 | − | 0.0978194i | ||||
\(15\) | −0.215389 | + | 0.332262i | −0.0556133 | + | 0.0857897i | ||||
\(16\) | −2.37214 | + | 1.72346i | −0.593036 | + | 0.430866i | ||||
\(17\) | −4.71092 | + | 2.40034i | −1.14257 | + | 0.582167i | −0.919677 | − | 0.392677i | \(-0.871549\pi\) |
−0.222890 | + | 0.974844i | \(0.571549\pi\) | |||||||
\(18\) | 2.62351 | + | 2.62351i | 0.618366 | + | 0.618366i | ||||
\(19\) | 0.103086 | − | 0.317266i | 0.0236495 | − | 0.0727857i | −0.938535 | − | 0.345184i | \(-0.887817\pi\) |
0.962185 | + | 0.272398i | \(0.0878167\pi\) | |||||||
\(20\) | −0.204412 | − | 0.957849i | −0.0457079 | − | 0.214182i | ||||
\(21\) | −0.407190 | − | 0.231739i | −0.0888561 | − | 0.0505697i | ||||
\(22\) | 4.83859 | + | 2.46538i | 1.03159 | + | 0.525622i | ||||
\(23\) | −0.153926 | − | 0.971852i | −0.0320958 | − | 0.202645i | 0.966430 | − | 0.256932i | \(-0.0827116\pi\) |
−0.998525 | + | 0.0542866i | \(0.982712\pi\) | |||||||
\(24\) | 0.539572 | 0.110140 | ||||||||
\(25\) | −4.89242 | − | 1.03160i | −0.978485 | − | 0.206320i | ||||
\(26\) | − | 7.35626i | − | 1.44268i | ||||||
\(27\) | −0.165342 | − | 1.04393i | −0.0318201 | − | 0.200904i | ||||
\(28\) | 1.11750 | − | 0.306865i | 0.211187 | − | 0.0579921i | ||||
\(29\) | 2.47743 | − | 0.804965i | 0.460047 | − | 0.149478i | −0.0698191 | − | 0.997560i | \(-0.522242\pi\) |
0.529866 | + | 0.848081i | \(0.322242\pi\) | |||||||
\(30\) | 0.200918 | − | 0.452258i | 0.0366824 | − | 0.0825707i | ||||
\(31\) | 6.20740 | + | 2.01691i | 1.11488 | + | 0.362247i | 0.807812 | − | 0.589440i | \(-0.200651\pi\) |
0.307070 | + | 0.951687i | \(0.400651\pi\) | |||||||
\(32\) | −1.71789 | + | 1.71789i | −0.303683 | + | 0.303683i | ||||
\(33\) | −0.349317 | − | 0.685574i | −0.0608083 | − | 0.119343i | ||||
\(34\) | 5.34592 | − | 3.88404i | 0.916817 | − | 0.666107i | ||||
\(35\) | 0.884501 | − | 5.84959i | 0.149508 | − | 0.988761i | ||||
\(36\) | 1.05196 | + | 0.764293i | 0.175326 | + | 0.127382i | ||||
\(37\) | −1.08273 | + | 6.83606i | −0.177999 | + | 1.12384i | 0.723265 | + | 0.690571i | \(0.242641\pi\) |
−0.901264 | + | 0.433271i | \(0.857359\pi\) | |||||||
\(38\) | −0.0652212 | + | 0.411790i | −0.0105803 | + | 0.0668012i | ||||
\(39\) | −0.612649 | + | 0.843238i | −0.0981023 | + | 0.135026i | ||||
\(40\) | 2.44685 | + | 6.35881i | 0.386882 | + | 1.00542i | ||||
\(41\) | −2.38618 | − | 3.28430i | −0.372659 | − | 0.512921i | 0.580962 | − | 0.813930i | \(-0.302676\pi\) |
−0.953621 | + | 0.301010i | \(0.902676\pi\) | |||||||
\(42\) | 0.547947 | + | 0.206451i | 0.0845500 | + | 0.0318561i | ||||
\(43\) | 5.61888 | + | 5.61888i | 0.856871 | + | 0.856871i | 0.990968 | − | 0.134097i | \(-0.0428134\pi\) |
−0.134097 | + | 0.990968i | \(0.542813\pi\) | |||||||
\(44\) | 1.81004 | + | 0.588117i | 0.272874 | + | 0.0886620i | ||||
\(45\) | 5.74605 | − | 3.32372i | 0.856570 | − | 0.495471i | ||||
\(46\) | 0.380016 | + | 1.16957i | 0.0560303 | + | 0.172444i | ||||
\(47\) | 1.52215 | − | 2.98738i | 0.222028 | − | 0.435754i | −0.752943 | − | 0.658085i | \(-0.771367\pi\) |
0.974971 | + | 0.222331i | \(0.0713666\pi\) | |||||||
\(48\) | −0.512835 | + | 0.0812251i | −0.0740214 | + | 0.0117238i | ||||
\(49\) | 6.97019 | + | 0.645383i | 0.995741 | + | 0.0921976i | ||||
\(50\) | 6.24094 | + | 0.316892i | 0.882602 | + | 0.0448153i | ||||
\(51\) | −0.936268 | −0.131104 | ||||||||
\(52\) | −0.403305 | − | 2.54637i | −0.0559283 | − | 0.353117i | ||||
\(53\) | 1.70178 | − | 3.33992i | 0.233757 | − | 0.458774i | −0.744094 | − | 0.668075i | \(-0.767119\pi\) |
0.977851 | + | 0.209301i | \(0.0671187\pi\) | |||||||
\(54\) | 0.408199 | + | 1.25631i | 0.0555489 | + | 0.170962i | ||||
\(55\) | 6.49534 | − | 7.22562i | 0.875831 | − | 0.974302i | ||||
\(56\) | −7.34422 | + | 3.32453i | −0.981413 | + | 0.444259i | ||||
\(57\) | 0.0417712 | − | 0.0417712i | 0.00553273 | − | 0.00553273i | ||||
\(58\) | −2.90078 | + | 1.47802i | −0.380891 | + | 0.194074i | ||||
\(59\) | −9.49701 | + | 6.89998i | −1.23641 | + | 0.898301i | −0.997353 | − | 0.0727060i | \(-0.976837\pi\) |
−0.239052 | + | 0.971007i | \(0.576837\pi\) | |||||||
\(60\) | 0.0447526 | − | 0.167564i | 0.00577754 | − | 0.0216324i | ||||
\(61\) | −3.64737 | + | 5.02017i | −0.466998 | + | 0.642767i | −0.975941 | − | 0.218033i | \(-0.930036\pi\) |
0.508944 | + | 0.860800i | \(0.330036\pi\) | |||||||
\(62\) | −8.05680 | − | 1.27607i | −1.02322 | − | 0.162061i | ||||
\(63\) | 4.31848 | + | 6.56053i | 0.544077 | + | 0.826549i | ||||
\(64\) | 5.23164 | − | 7.20073i | 0.653955 | − | 0.900092i | ||||
\(65\) | −12.7157 | − | 3.39608i | −1.57719 | − | 0.421232i | ||||
\(66\) | 0.565238 | + | 0.777983i | 0.0695760 | + | 0.0957631i | ||||
\(67\) | 0.434079 | + | 0.851927i | 0.0530311 | + | 0.104079i | 0.916001 | − | 0.401176i | \(-0.131398\pi\) |
−0.862970 | + | 0.505255i | \(0.831398\pi\) | |||||||
\(68\) | 1.63755 | − | 1.63755i | 0.198582 | − | 0.198582i | ||||
\(69\) | 0.0538440 | − | 0.165715i | 0.00648206 | − | 0.0199497i | ||||
\(70\) | 0.0518240 | + | 7.39371i | 0.00619416 | + | 0.883718i | ||||
\(71\) | −0.933657 | − | 2.87350i | −0.110805 | − | 0.341022i | 0.880244 | − | 0.474521i | \(-0.157379\pi\) |
−0.991049 | + | 0.133499i | \(0.957379\pi\) | |||||||
\(72\) | −8.05960 | − | 4.10657i | −0.949832 | − | 0.483964i | ||||
\(73\) | 2.02522 | − | 0.320764i | 0.237034 | − | 0.0375426i | −0.0367870 | − | 0.999323i | \(-0.511712\pi\) |
0.273821 | + | 0.961781i | \(0.411712\pi\) | |||||||
\(74\) | − | 8.65018i | − | 1.00556i | ||||||
\(75\) | −0.688999 | − | 0.556087i | −0.0795588 | − | 0.0642114i | ||||
\(76\) | 0.146117i | 0.0167607i | ||||||||
\(77\) | 8.97874 | + | 7.17919i | 1.02322 | + | 0.818145i | ||||
\(78\) | 0.591396 | − | 1.16068i | 0.0669625 | − | 0.131421i | ||||
\(79\) | −5.09315 | + | 1.65486i | −0.573024 | + | 0.186187i | −0.581173 | − | 0.813780i | \(-0.697406\pi\) |
0.00814898 | + | 0.999967i | \(0.497406\pi\) | |||||||
\(80\) | −3.28284 | − | 5.67538i | −0.367033 | − | 0.634526i | ||||
\(81\) | −2.69425 | + | 8.29203i | −0.299361 | + | 0.921337i | ||||
\(82\) | 3.58764 | + | 3.58764i | 0.396189 | + | 0.396189i | ||||
\(83\) | 1.06861 | + | 2.09726i | 0.117295 | + | 0.230204i | 0.942188 | − | 0.335085i | \(-0.108765\pi\) |
−0.824893 | + | 0.565288i | \(0.808765\pi\) | |||||||
\(84\) | 0.200990 | + | 0.0414220i | 0.0219298 | + | 0.00451951i | ||||
\(85\) | −4.24579 | − | 11.0338i | −0.460521 | − | 1.19679i | ||||
\(86\) | −8.03455 | − | 5.83744i | −0.866388 | − | 0.629468i | ||||
\(87\) | 0.455606 | + | 0.0721609i | 0.0488461 | + | 0.00773646i | ||||
\(88\) | −13.0765 | − | 2.07112i | −1.39396 | − | 0.220782i | ||||
\(89\) | −5.91955 | − | 4.30080i | −0.627471 | − | 0.455884i | 0.228052 | − | 0.973649i | \(-0.426764\pi\) |
−0.855523 | + | 0.517765i | \(0.826764\pi\) | |||||||
\(90\) | −6.44315 | + | 5.22625i | −0.679168 | + | 0.550895i | ||||
\(91\) | 3.14333 | − | 15.2523i | 0.329511 | − | 1.59887i | ||||
\(92\) | 0.195664 | + | 0.384012i | 0.0203993 | + | 0.0400360i | ||||
\(93\) | 0.817266 | + | 0.817266i | 0.0847465 | + | 0.0847465i | ||||
\(94\) | −1.29489 | + | 3.98525i | −0.133557 | + | 0.411047i | ||||
\(95\) | 0.681693 | + | 0.302845i | 0.0699403 | + | 0.0310713i | ||||
\(96\) | −0.409159 | + | 0.132944i | −0.0417596 | + | 0.0135685i | ||||
\(97\) | −5.99925 | + | 11.7742i | −0.609132 | + | 1.19549i | 0.356187 | + | 0.934415i | \(0.384077\pi\) |
−0.965319 | + | 0.261074i | \(0.915923\pi\) | |||||||
\(98\) | −8.73024 | + | 0.566082i | −0.881887 | + | 0.0571830i | ||||
\(99\) | 12.8990i | 1.29640i | ||||||||
\(100\) | 2.17767 | − | 0.232466i | 0.217767 | − | 0.0232466i | ||||
\(101\) | 4.19859i | 0.417775i | 0.977940 | + | 0.208888i | \(0.0669843\pi\) | ||||
−0.977940 | + | 0.208888i | \(0.933016\pi\) | |||||||
\(102\) | 1.15574 | − | 0.183051i | 0.114435 | − | 0.0181247i | ||||
\(103\) | −15.4605 | − | 7.87752i | −1.52337 | − | 0.776196i | −0.526127 | − | 0.850406i | \(-0.676356\pi\) |
−0.997243 | + | 0.0742105i | \(0.976356\pi\) | |||||||
\(104\) | 5.54211 | + | 17.0568i | 0.543448 | + | 1.67256i | ||||
\(105\) | 0.609827 | − | 0.851848i | 0.0595130 | − | 0.0831318i | ||||
\(106\) | −1.44770 | + | 4.45555i | −0.140613 | + | 0.432761i | ||||
\(107\) | 10.4565 | − | 10.4565i | 1.01087 | − | 1.01087i | 0.0109250 | − | 0.999940i | \(-0.496522\pi\) |
0.999940 | − | 0.0109250i | \(-0.00347759\pi\) | |||||||
\(108\) | 0.210175 | + | 0.412491i | 0.0202241 | + | 0.0396920i | ||||
\(109\) | 2.07269 | + | 2.85281i | 0.198528 | + | 0.273250i | 0.896661 | − | 0.442718i | \(-0.145986\pi\) |
−0.698133 | + | 0.715968i | \(0.745986\pi\) | |||||||
\(110\) | −6.60522 | + | 10.1893i | −0.629783 | + | 0.971510i | ||||
\(111\) | −0.720410 | + | 0.991559i | −0.0683783 | + | 0.0941146i | ||||
\(112\) | 6.47984 | − | 4.26537i | 0.612287 | − | 0.403039i | ||||
\(113\) | −14.1723 | − | 2.24467i | −1.33322 | − | 0.211161i | −0.551177 | − | 0.834389i | \(-0.685821\pi\) |
−0.782040 | + | 0.623228i | \(0.785821\pi\) | |||||||
\(114\) | −0.0433960 | + | 0.0597295i | −0.00406441 | + | 0.00559418i | ||||
\(115\) | 2.19711 | − | 0.116938i | 0.204881 | − | 0.0109045i | ||||
\(116\) | −0.923072 | + | 0.670651i | −0.0857051 | + | 0.0622684i | ||||
\(117\) | 15.5689 | − | 7.93273i | 1.43934 | − | 0.733381i | ||||
\(118\) | 10.3742 | − | 10.3742i | 0.955020 | − | 0.955020i | ||||
\(119\) | 12.7437 | − | 5.76874i | 1.16822 | − | 0.528820i | ||||
\(120\) | −0.125139 | + | 1.20001i | −0.0114236 | + | 0.109546i | ||||
\(121\) | 2.43499 | + | 7.49412i | 0.221363 | + | 0.681284i | ||||
\(122\) | 3.52085 | − | 6.91005i | 0.318762 | − | 0.625606i | ||||
\(123\) | −0.112458 | − | 0.710035i | −0.0101400 | − | 0.0640217i | ||||
\(124\) | −2.85882 | −0.256730 | ||||||||
\(125\) | 3.42895 | − | 10.6415i | 0.306695 | − | 0.951808i | ||||
\(126\) | −6.61343 | − | 7.25407i | −0.589171 | − | 0.646244i | ||||
\(127\) | −9.69898 | + | 1.53617i | −0.860645 | + | 0.136313i | −0.571129 | − | 0.820860i | \(-0.693494\pi\) |
−0.289516 | + | 0.957173i | \(0.593494\pi\) | |||||||
\(128\) | −2.84425 | + | 5.58216i | −0.251399 | + | 0.493398i | ||||
\(129\) | 0.434833 | + | 1.33828i | 0.0382849 | + | 0.117829i | ||||
\(130\) | 16.3604 | + | 1.70609i | 1.43490 | + | 0.149634i | ||||
\(131\) | 21.0453 | + | 6.83804i | 1.83874 | + | 0.597443i | 0.998471 | + | 0.0552719i | \(0.0176026\pi\) |
0.840268 | + | 0.542171i | \(0.182397\pi\) | |||||||
\(132\) | 0.238310 | + | 0.238310i | 0.0207422 | + | 0.0207422i | ||||
\(133\) | −0.311186 | + | 0.825926i | −0.0269832 | + | 0.0716168i | ||||
\(134\) | −0.702392 | − | 0.966759i | −0.0606774 | − | 0.0835153i | ||||
\(135\) | 2.36005 | − | 0.125610i | 0.203121 | − | 0.0108108i | ||||
\(136\) | −9.46931 | + | 13.0334i | −0.811987 | + | 1.11760i | ||||
\(137\) | 0.478131 | − | 3.01880i | 0.0408495 | − | 0.257914i | −0.958809 | − | 0.284052i | \(-0.908321\pi\) |
0.999658 | + | 0.0261385i | \(0.00832108\pi\) | |||||||
\(138\) | −0.0340664 | + | 0.215087i | −0.00289993 | + | 0.0183094i | ||||
\(139\) | −10.5193 | − | 7.64275i | −0.892239 | − | 0.648250i | 0.0442216 | − | 0.999022i | \(-0.485919\pi\) |
−0.936461 | + | 0.350772i | \(0.885919\pi\) | |||||||
\(140\) | 0.423297 | + | 2.55649i | 0.0357751 | + | 0.216063i | ||||
\(141\) | 0.480333 | − | 0.348982i | 0.0404513 | − | 0.0293896i | ||||
\(142\) | 1.71432 | + | 3.36454i | 0.143862 | + | 0.282346i | ||||
\(143\) | 18.0843 | − | 18.0843i | 1.51228 | − | 1.51228i | ||||
\(144\) | 8.27842 | + | 2.68982i | 0.689868 | + | 0.224152i | ||||
\(145\) | 1.21568 | + | 5.69651i | 0.100956 | + | 0.473069i | ||||
\(146\) | −2.43724 | + | 0.791908i | −0.201707 | + | 0.0655387i | ||||
\(147\) | 1.04788 | + | 0.662188i | 0.0864277 | + | 0.0546163i | ||||
\(148\) | −0.474244 | − | 2.99426i | −0.0389826 | − | 0.246126i | ||||
\(149\) | 7.52417i | 0.616404i | 0.951321 | + | 0.308202i | \(0.0997272\pi\) | ||||
−0.951321 | + | 0.308202i | \(0.900273\pi\) | |||||||
\(150\) | 0.959228 | + | 0.551732i | 0.0783207 | + | 0.0450487i | ||||
\(151\) | 20.8915 | 1.70012 | 0.850062 | − | 0.526683i | \(-0.176564\pi\) | ||||
0.850062 | + | 0.526683i | \(0.176564\pi\) | |||||||
\(152\) | −0.159010 | − | 1.00395i | −0.0128974 | − | 0.0814310i | ||||
\(153\) | 13.9850 | + | 7.12574i | 1.13062 | + | 0.576082i | ||||
\(154\) | −12.4870 | − | 7.10662i | −1.00624 | − | 0.572667i | ||||
\(155\) | −5.92526 | + | 13.3375i | −0.475928 | + | 1.07130i | ||||
\(156\) | 0.141078 | − | 0.434192i | 0.0112953 | − | 0.0347632i | ||||
\(157\) | −13.5717 | − | 13.5717i | −1.08314 | − | 1.08314i | −0.996215 | − | 0.0869256i | \(-0.972296\pi\) |
−0.0869256 | − | 0.996215i | \(-0.527704\pi\) | |||||||
\(158\) | 5.96349 | − | 3.03855i | 0.474430 | − | 0.241734i | ||||
\(159\) | 0.537017 | − | 0.390166i | 0.0425882 | − | 0.0309422i | ||||
\(160\) | −3.42218 | − | 4.21902i | −0.270547 | − | 0.333543i | ||||
\(161\) | 0.288157 | + | 2.58733i | 0.0227100 | + | 0.203910i | ||||
\(162\) | 1.70462 | − | 10.7625i | 0.133927 | − | 0.845583i | ||||
\(163\) | 2.15388 | + | 0.341141i | 0.168705 | + | 0.0267203i | 0.240215 | − | 0.970720i | \(-0.422782\pi\) |
−0.0715104 | + | 0.997440i | \(0.522782\pi\) | |||||||
\(164\) | 1.43855 | + | 1.04517i | 0.112332 | + | 0.0816140i | ||||
\(165\) | 1.60574 | − | 0.617884i | 0.125006 | − | 0.0481022i | ||||
\(166\) | −1.72913 | − | 2.37995i | −0.134207 | − | 0.184720i | ||||
\(167\) | −2.88263 | + | 1.46877i | −0.223065 | + | 0.113657i | −0.561952 | − | 0.827170i | \(-0.689949\pi\) |
0.338887 | + | 0.940827i | \(0.389949\pi\) | |||||||
\(168\) | −1.42605 | − | 0.0658796i | −0.110022 | − | 0.00508272i | ||||
\(169\) | −20.5852 | − | 6.68855i | −1.58348 | − | 0.514504i | ||||
\(170\) | 7.39828 | + | 12.7902i | 0.567422 | + | 0.980960i | ||||
\(171\) | −0.941848 | + | 0.306025i | −0.0720249 | + | 0.0234023i | ||||
\(172\) | −3.10119 | − | 1.58014i | −0.236464 | − | 0.120484i | ||||
\(173\) | −20.6542 | + | 3.27130i | −1.57031 | + | 0.248712i | −0.880060 | − | 0.474862i | \(-0.842498\pi\) |
−0.690247 | + | 0.723574i | \(0.742498\pi\) | |||||||
\(174\) | −0.576513 | −0.0437053 | ||||||||
\(175\) | 12.8044 | + | 3.32379i | 0.967921 | + | 0.251255i | ||||
\(176\) | 12.7404 | 0.960341 | ||||||||
\(177\) | −2.05317 | + | 0.325189i | −0.154325 | + | 0.0244427i | ||||
\(178\) | 8.14800 | + | 4.15161i | 0.610718 | + | 0.311177i | ||||
\(179\) | −2.81593 | + | 0.914950i | −0.210472 | + | 0.0683866i | −0.412356 | − | 0.911023i | \(-0.635294\pi\) |
0.201883 | + | 0.979410i | \(0.435294\pi\) | |||||||
\(180\) | −1.94377 | + | 2.16231i | −0.144880 | + | 0.161169i | ||||
\(181\) | 7.12519 | + | 2.31511i | 0.529611 | + | 0.172081i | 0.561603 | − | 0.827407i | \(-0.310185\pi\) |
−0.0319916 | + | 0.999488i | \(0.510185\pi\) | |||||||
\(182\) | −0.898170 | + | 19.4421i | −0.0665768 | + | 1.44114i | ||||
\(183\) | −0.979077 | + | 0.498865i | −0.0723754 | + | 0.0368771i | ||||
\(184\) | −1.76227 | − | 2.42556i | −0.129917 | − | 0.178815i | ||||
\(185\) | −14.9523 | − | 3.99343i | −1.09932 | − | 0.293603i | ||||
\(186\) | −1.16863 | − | 0.849056i | −0.0856878 | − | 0.0622558i | ||||
\(187\) | 22.6905 | + | 3.59382i | 1.65929 | + | 0.262806i | ||||
\(188\) | −0.229734 | + | 1.45048i | −0.0167551 | + | 0.105787i | ||||
\(189\) | 0.309528 | + | 2.77922i | 0.0225149 | + | 0.202158i | ||||
\(190\) | −0.900698 | − | 0.240556i | −0.0653435 | − | 0.0174518i | ||||
\(191\) | 13.4621 | − | 9.78076i | 0.974081 | − | 0.707711i | 0.0177028 | − | 0.999843i | \(-0.494365\pi\) |
0.956378 | + | 0.292132i | \(0.0943647\pi\) | |||||||
\(192\) | 1.40435 | − | 0.715551i | 0.101350 | − | 0.0516405i | ||||
\(193\) | 12.8852 | + | 12.8852i | 0.927494 | + | 0.927494i | 0.997543 | − | 0.0700499i | \(-0.0223158\pi\) |
−0.0700499 | + | 0.997543i | \(0.522316\pi\) | |||||||
\(194\) | 5.10354 | − | 15.7071i | 0.366413 | − | 1.12770i | ||||
\(195\) | −1.73328 | − | 1.55810i | −0.124123 | − | 0.111578i | ||||
\(196\) | −2.99093 | + | 0.674582i | −0.213638 | + | 0.0481844i | ||||
\(197\) | 4.14736 | + | 2.11319i | 0.295487 | + | 0.150558i | 0.595449 | − | 0.803393i | \(-0.296974\pi\) |
−0.299962 | + | 0.953951i | \(0.596974\pi\) | |||||||
\(198\) | −2.52190 | − | 15.9227i | −0.179224 | − | 1.13157i | ||||
\(199\) | −6.23169 | −0.441753 | −0.220877 | − | 0.975302i | \(-0.570892\pi\) | ||||
−0.220877 | + | 0.975302i | \(0.570892\pi\) | |||||||
\(200\) | −14.7095 | + | 3.96707i | −1.04012 | + | 0.280514i | ||||
\(201\) | 0.169315i | 0.0119426i | ||||||||
\(202\) | −0.820871 | − | 5.18277i | −0.0577563 | − | 0.364659i | ||||
\(203\) | −6.64596 | + | 1.82498i | −0.466455 | + | 0.128089i | ||||
\(204\) | 0.390022 | − | 0.126726i | 0.0273070 | − | 0.00887259i | ||||
\(205\) | 7.85771 | − | 4.54518i | 0.548806 | − | 0.317449i | ||||
\(206\) | 20.6247 | + | 6.70139i | 1.43699 | + | 0.466908i | ||||
\(207\) | −2.06549 | + | 2.06549i | −0.143561 | + | 0.143561i | ||||
\(208\) | −7.83516 | − | 15.3774i | −0.543271 | − | 1.06623i | ||||
\(209\) | −1.17266 | + | 0.851989i | −0.0811148 | + | 0.0589333i | ||||
\(210\) | −0.586231 | + | 1.17076i | −0.0404538 | + | 0.0807899i | ||||
\(211\) | −13.8588 | − | 10.0690i | −0.954080 | − | 0.693180i | −0.00231176 | − | 0.999997i | \(-0.500736\pi\) |
−0.951768 | + | 0.306818i | \(0.900736\pi\) | |||||||
\(212\) | −0.256845 | + | 1.62166i | −0.0176402 | + | 0.111376i | ||||
\(213\) | 0.0836975 | − | 0.528445i | 0.00573486 | − | 0.0362085i | ||||
\(214\) | −10.8632 | + | 14.9519i | −0.742594 | + | 1.02209i | ||||
\(215\) | −13.7996 | + | 11.1933i | −0.941124 | + | 0.763376i | ||||
\(216\) | −1.89297 | − | 2.60545i | −0.128800 | − | 0.177278i | ||||
\(217\) | −16.1595 | − | 6.08845i | −1.09698 | − | 0.413311i | ||||
\(218\) | −3.11631 | − | 3.11631i | −0.211063 | − | 0.211063i | ||||
\(219\) | 0.345330 | + | 0.112204i | 0.0233352 | + | 0.00758207i | ||||
\(220\) | −1.72777 | + | 3.88914i | −0.116486 | + | 0.262206i | ||||
\(221\) | −9.61669 | − | 29.5971i | −0.646888 | − | 1.99092i | ||||
\(222\) | 0.695420 | − | 1.36484i | 0.0466735 | − | 0.0916019i | ||||
\(223\) | −2.26574 | + | 0.358858i | −0.151725 | + | 0.0240309i | −0.231835 | − | 0.972755i | \(-0.574473\pi\) |
0.0801098 | + | 0.996786i | \(0.474473\pi\) | |||||||
\(224\) | 4.75002 | − | 4.33052i | 0.317374 | − | 0.289345i | ||||
\(225\) | 6.05933 | + | 13.5501i | 0.403956 | + | 0.903340i | ||||
\(226\) | 17.9333 | 1.19290 | ||||||||
\(227\) | −0.533605 | − | 3.36905i | −0.0354166 | − | 0.223612i | 0.963631 | − | 0.267235i | \(-0.0861099\pi\) |
−0.999048 | + | 0.0436231i | \(0.986110\pi\) | |||||||
\(228\) | −0.0117469 | + | 0.0230545i | −0.000777954 | + | 0.00152682i | ||||
\(229\) | −3.99883 | − | 12.3071i | −0.264250 | − | 0.813279i | −0.991865 | − | 0.127293i | \(-0.959371\pi\) |
0.727615 | − | 0.685986i | \(-0.240629\pi\) | |||||||
\(230\) | −2.68927 | + | 0.573908i | −0.177325 | + | 0.0378424i | ||||
\(231\) | 0.839516 | + | 1.85458i | 0.0552361 | + | 0.122022i | ||||
\(232\) | 5.61247 | − | 5.61247i | 0.368477 | − | 0.368477i | ||||
\(233\) | 1.49427 | − | 0.761371i | 0.0978932 | − | 0.0498791i | −0.404358 | − | 0.914601i | \(-0.632505\pi\) |
0.502252 | + | 0.864722i | \(0.332505\pi\) | |||||||
\(234\) | −17.6674 | + | 12.8361i | −1.15495 | + | 0.839123i | ||||
\(235\) | 6.29094 | + | 4.07811i | 0.410375 | + | 0.266027i | ||||
\(236\) | 3.02225 | − | 4.15978i | 0.196732 | − | 0.270778i | ||||
\(237\) | −0.936645 | − | 0.148350i | −0.0608416 | − | 0.00963637i | ||||
\(238\) | −14.6031 | + | 9.61253i | −0.946580 | + | 0.623088i | ||||
\(239\) | −5.86889 | + | 8.07784i | −0.379627 | + | 0.522512i | −0.955486 | − | 0.295037i | \(-0.904668\pi\) |
0.575859 | + | 0.817549i | \(0.304668\pi\) | |||||||
\(240\) | −0.0617068 | − | 1.15939i | −0.00398316 | − | 0.0748382i | ||||
\(241\) | 15.6102 | + | 21.4856i | 1.00554 | + | 1.38401i | 0.921864 | + | 0.387514i | \(0.126666\pi\) |
0.0836757 | + | 0.996493i | \(0.473334\pi\) | |||||||
\(242\) | −4.47096 | − | 8.77475i | −0.287404 | − | 0.564062i | ||||
\(243\) | −3.33384 | + | 3.33384i | −0.213866 | + | 0.213866i | ||||
\(244\) | 0.839898 | − | 2.58494i | 0.0537689 | − | 0.165484i | ||||
\(245\) | −3.05189 | + | 15.3521i | −0.194978 | + | 0.980808i | ||||
\(246\) | 0.277639 | + | 0.854486i | 0.0177016 | + | 0.0544801i | ||||
\(247\) | 1.74951 | + | 0.891418i | 0.111318 | + | 0.0567196i | ||||
\(248\) | 19.6426 | − | 3.11108i | 1.24730 | − | 0.197554i | ||||
\(249\) | 0.416817i | 0.0264147i | ||||||||
\(250\) | −2.15219 | + | 13.8064i | −0.136117 | + | 0.873194i | ||||
\(251\) | − | 9.42659i | − | 0.595001i | −0.954722 | − | 0.297501i | \(-0.903847\pi\) | ||
0.954722 | − | 0.297501i | \(-0.0961530\pi\) | |||||||
\(252\) | −2.68694 | − | 2.14841i | −0.169261 | − | 0.135337i | ||||
\(253\) | −1.94100 | + | 3.80943i | −0.122030 | + | 0.239497i | ||||
\(254\) | 11.6722 | − | 3.79252i | 0.732377 | − | 0.237964i | ||||
\(255\) | 0.217142 | − | 2.08227i | 0.0135980 | − | 0.130397i | ||||
\(256\) | −3.08127 | + | 9.48319i | −0.192580 | + | 0.592699i | ||||
\(257\) | 9.00174 | + | 9.00174i | 0.561513 | + | 0.561513i | 0.929737 | − | 0.368224i | \(-0.120034\pi\) |
−0.368224 | + | 0.929737i | \(0.620034\pi\) | |||||||
\(258\) | −0.798409 | − | 1.56697i | −0.0497068 | − | 0.0975551i | ||||
\(259\) | 3.69623 | − | 17.9351i | 0.229672 | − | 1.11443i | ||||
\(260\) | 5.75668 | − | 0.306391i | 0.357014 | − | 0.0190016i | ||||
\(261\) | −6.25619 | − | 4.54539i | −0.387249 | − | 0.281353i | ||||
\(262\) | −27.3155 | − | 4.32635i | −1.68756 | − | 0.267283i | ||||
\(263\) | −16.3861 | − | 2.59530i | −1.01041 | − | 0.160033i | −0.370783 | − | 0.928720i | \(-0.620911\pi\) |
−0.639626 | + | 0.768686i | \(0.720911\pi\) | |||||||
\(264\) | −1.89673 | − | 1.37806i | −0.116736 | − | 0.0848134i | ||||
\(265\) | 7.03334 | + | 4.55937i | 0.432054 | + | 0.280080i | ||||
\(266\) | 0.222653 | − | 1.08037i | 0.0136517 | − | 0.0662418i | ||||
\(267\) | −0.588237 | − | 1.15448i | −0.0359995 | − | 0.0706531i | ||||
\(268\) | −0.296135 | − | 0.296135i | −0.0180893 | − | 0.0180893i | ||||
\(269\) | −6.11636 | + | 18.8242i | −0.372921 | + | 1.14773i | 0.571949 | + | 0.820289i | \(0.306187\pi\) |
−0.944870 | + | 0.327445i | \(0.893813\pi\) | |||||||
\(270\) | −2.88871 | + | 0.616471i | −0.175801 | + | 0.0375172i | ||||
\(271\) | −1.30082 | + | 0.422662i | −0.0790191 | + | 0.0256749i | −0.348260 | − | 0.937398i | \(-0.613227\pi\) |
0.269241 | + | 0.963073i | \(0.413227\pi\) | |||||||
\(272\) | 7.03810 | − | 13.8130i | 0.426747 | − | 0.837539i | ||||
\(273\) | 1.72214 | − | 2.15382i | 0.104229 | − | 0.130355i | ||||
\(274\) | 3.81992i | 0.230770i | ||||||||
\(275\) | 14.5634 | + | 16.1215i | 0.878206 | + | 0.972161i | ||||
\(276\) | 0.0763200i | 0.00459392i | ||||||||
\(277\) | 24.9752 | − | 3.95568i | 1.50061 | − | 0.237674i | 0.648573 | − | 0.761152i | \(-0.275366\pi\) |
0.852039 | + | 0.523479i | \(0.175366\pi\) | |||||||
\(278\) | 14.4794 | + | 7.37763i | 0.868418 | + | 0.442481i | ||||
\(279\) | −5.98748 | − | 18.4276i | −0.358461 | − | 1.10323i | ||||
\(280\) | −5.69049 | − | 17.1046i | −0.340072 | − | 1.02220i | ||||
\(281\) | −1.70772 | + | 5.25582i | −0.101874 | + | 0.313536i | −0.988984 | − | 0.148022i | \(-0.952709\pi\) |
0.887110 | + | 0.461558i | \(0.152709\pi\) | |||||||
\(282\) | −0.524697 | + | 0.524697i | −0.0312453 | + | 0.0312453i | ||||
\(283\) | −4.79207 | − | 9.40496i | −0.284859 | − | 0.559067i | 0.703593 | − | 0.710603i | \(-0.251578\pi\) |
−0.988452 | + | 0.151536i | \(0.951578\pi\) | |||||||
\(284\) | 0.777870 | + | 1.07065i | 0.0461581 | + | 0.0635312i | ||||
\(285\) | 0.0832117 | + | 0.102587i | 0.00492904 | + | 0.00607674i | ||||
\(286\) | −18.7877 | + | 25.8591i | −1.11094 | + | 1.52908i | ||||
\(287\) | 5.90552 | + | 8.97152i | 0.348592 | + | 0.529572i | ||||
\(288\) | 7.12342 | + | 1.12824i | 0.419751 | + | 0.0664821i | ||||
\(289\) | 6.43885 | − | 8.86231i | 0.378756 | − | 0.521312i | ||||
\(290\) | −2.61437 | − | 6.79415i | −0.153521 | − | 0.398966i | ||||
\(291\) | −1.89314 | + | 1.37545i | −0.110978 | + | 0.0806301i | ||||
\(292\) | −0.800234 | + | 0.407739i | −0.0468301 | + | 0.0238611i | ||||
\(293\) | −9.97473 | + | 9.97473i | −0.582730 | + | 0.582730i | −0.935653 | − | 0.352922i | \(-0.885188\pi\) |
0.352922 | + | 0.935653i | \(0.385188\pi\) | |||||||
\(294\) | −1.42298 | − | 0.612538i | −0.0829898 | − | 0.0357240i | ||||
\(295\) | −13.1430 | − | 22.7217i | −0.765217 | − | 1.32291i | ||||
\(296\) | 6.51693 | + | 20.0570i | 0.378789 | + | 1.16579i | ||||
\(297\) | −2.08495 | + | 4.09195i | −0.120981 | + | 0.237439i | ||||
\(298\) | −1.47106 | − | 9.28790i | −0.0852162 | − | 0.538034i | ||||
\(299\) | 5.79159 | 0.334937 | ||||||||
\(300\) | 0.362285 | + | 0.138392i | 0.0209165 | + | 0.00799008i | ||||
\(301\) | −14.1643 | − | 15.5364i | −0.816415 | − | 0.895501i | ||||
\(302\) | −25.7886 | + | 4.08452i | −1.48397 | + | 0.235038i | ||||
\(303\) | −0.337540 | + | 0.662459i | −0.0193911 | + | 0.0380573i | ||||
\(304\) | 0.302261 | + | 0.930264i | 0.0173359 | + | 0.0533543i | ||||
\(305\) | −10.3190 | − | 9.27607i | −0.590864 | − | 0.531146i | ||||
\(306\) | −18.6564 | − | 6.06184i | −1.06652 | − | 0.346532i | ||||
\(307\) | 1.28906 | + | 1.28906i | 0.0735708 | + | 0.0735708i | 0.742935 | − | 0.669364i | \(-0.233433\pi\) |
−0.669364 | + | 0.742935i | \(0.733433\pi\) | |||||||
\(308\) | −4.71200 | − | 1.77535i | −0.268491 | − | 0.101160i | ||||
\(309\) | −1.80608 | − | 2.48585i | −0.102744 | − | 0.141415i | ||||
\(310\) | 4.70656 | − | 17.6224i | 0.267314 | − | 1.00089i | ||||
\(311\) | −4.39371 | + | 6.04742i | −0.249144 | + | 0.342918i | −0.915211 | − | 0.402974i | \(-0.867976\pi\) |
0.666067 | + | 0.745892i | \(0.267976\pi\) | |||||||
\(312\) | −0.496821 | + | 3.13680i | −0.0281269 | + | 0.177586i | ||||
\(313\) | −1.00496 | + | 6.34509i | −0.0568039 | + | 0.358646i | 0.942871 | + | 0.333157i | \(0.108114\pi\) |
−0.999675 | + | 0.0254883i | \(0.991886\pi\) | |||||||
\(314\) | 19.4065 | + | 14.0996i | 1.09517 | + | 0.795688i | ||||
\(315\) | −15.5922 | + | 8.08279i | −0.878523 | + | 0.455414i | ||||
\(316\) | 1.89767 | − | 1.37874i | 0.106752 | − | 0.0775601i | ||||
\(317\) | 3.79057 | + | 7.43940i | 0.212899 | + | 0.417839i | 0.972617 | − | 0.232415i | \(-0.0746627\pi\) |
−0.759717 | + | 0.650253i | \(0.774663\pi\) | |||||||
\(318\) | −0.586617 | + | 0.586617i | −0.0328959 | + | 0.0328959i | ||||
\(319\) | −10.7646 | − | 3.49764i | −0.602704 | − | 0.195830i | ||||
\(320\) | 14.8011 | + | 13.3052i | 0.827409 | + | 0.743785i | ||||
\(321\) | 2.49047 | − | 0.809203i | 0.139004 | − | 0.0451653i | ||||
\(322\) | −0.861557 | − | 3.13749i | −0.0480127 | − | 0.174846i | ||||
\(323\) | 0.275914 | + | 1.74206i | 0.0153523 | + | 0.0969306i | ||||
\(324\) | − | 3.81890i | − | 0.212161i | ||||||
\(325\) | 10.5020 | − | 27.4922i | 0.582546 | − | 1.52500i | ||||
\(326\) | −2.72547 | −0.150950 | ||||||||
\(327\) | 0.0976839 | + | 0.616752i | 0.00540193 | + | 0.0341065i | ||||
\(328\) | −11.0215 | − | 5.61573i | −0.608560 | − | 0.310077i | ||||
\(329\) | −4.38768 | + | 7.70960i | −0.241900 | + | 0.425044i | ||||
\(330\) | −1.86133 | + | 1.07666i | −0.102463 | + | 0.0592683i | ||||
\(331\) | 1.30276 | − | 4.00948i | 0.0716062 | − | 0.220381i | −0.908848 | − | 0.417126i | \(-0.863037\pi\) |
0.980455 | + | 0.196745i | \(0.0630372\pi\) | |||||||
\(332\) | −0.729019 | − | 0.729019i | −0.0400101 | − | 0.0400101i | ||||
\(333\) | 18.3073 | − | 9.32804i | 1.00323 | − | 0.511174i | ||||
\(334\) | 3.27119 | − | 2.37666i | 0.178991 | − | 0.130045i | ||||
\(335\) | −1.99537 | + | 0.767812i | −0.109018 | + | 0.0419501i | ||||
\(336\) | 1.36531 | − | 0.152057i | 0.0744836 | − | 0.00829541i | ||||
\(337\) | −2.48550 | + | 15.6928i | −0.135394 | + | 0.854844i | 0.822718 | + | 0.568450i | \(0.192457\pi\) |
−0.958112 | + | 0.286394i | \(0.907543\pi\) | |||||||
\(338\) | 26.7183 | + | 4.23176i | 1.45328 | + | 0.230178i | ||||
\(339\) | −2.05567 | − | 1.49353i | −0.111648 | − | 0.0811174i | ||||
\(340\) | 3.26213 | + | 4.02170i | 0.176914 | + | 0.218107i | ||||
\(341\) | −16.6694 | − | 22.9435i | −0.902700 | − | 1.24246i | ||||
\(342\) | 1.10279 | − | 0.561902i | 0.0596323 | − | 0.0303842i | ||||
\(343\) | −18.3429 | − | 2.55674i | −0.990425 | − | 0.138051i | ||||
\(344\) | 23.0274 | + | 7.48207i | 1.24156 | + | 0.403406i | ||||
\(345\) | 0.356063 | + | 0.158183i | 0.0191698 | + | 0.00851627i | ||||
\(346\) | 24.8561 | − | 8.07624i | 1.33627 | − | 0.434182i | ||||
\(347\) | −7.38490 | − | 3.76280i | −0.396442 | − | 0.201997i | 0.244392 | − | 0.969676i | \(-0.421412\pi\) |
−0.640835 | + | 0.767679i | \(0.721412\pi\) | |||||||
\(348\) | −0.199560 | + | 0.0316071i | −0.0106975 | + | 0.00169432i | ||||
\(349\) | 4.16930 | 0.223177 | 0.111589 | − | 0.993754i | \(-0.464406\pi\) | ||||
0.111589 | + | 0.993754i | \(0.464406\pi\) | |||||||
\(350\) | −16.4557 | − | 1.59952i | −0.879594 | − | 0.0854979i | ||||
\(351\) | 6.22112 | 0.332059 | ||||||||
\(352\) | 10.4263 | − | 1.65136i | 0.555722 | − | 0.0880177i | ||||
\(353\) | 21.3205 | + | 10.8634i | 1.13478 | + | 0.578198i | 0.917430 | − | 0.397896i | \(-0.130260\pi\) |
0.217347 | + | 0.976094i | \(0.430260\pi\) | |||||||
\(354\) | 2.47087 | − | 0.802834i | 0.131325 | − | 0.0426701i | ||||
\(355\) | 6.60723 | − | 1.41003i | 0.350675 | − | 0.0748366i | ||||
\(356\) | 3.04804 | + | 0.990368i | 0.161546 | + | 0.0524894i | ||||
\(357\) | 2.47449 | + | 0.114315i | 0.130964 | + | 0.00605017i | ||||
\(358\) | 3.29712 | − | 1.67997i | 0.174258 | − | 0.0887891i | ||||
\(359\) | 10.4712 | + | 14.4123i | 0.552648 | + | 0.760654i | 0.990368 | − | 0.138457i | \(-0.0442142\pi\) |
−0.437721 | + | 0.899111i | \(0.644214\pi\) | |||||||
\(360\) | 11.0023 | − | 16.9722i | 0.579870 | − | 0.894513i | ||||
\(361\) | 15.2813 | + | 11.1025i | 0.804279 | + | 0.584343i | ||||
\(362\) | −9.24803 | − | 1.46474i | −0.486066 | − | 0.0769852i | ||||
\(363\) | −0.218284 | + | 1.37819i | −0.0114569 | + | 0.0723362i | ||||
\(364\) | 0.755006 | + | 6.77912i | 0.0395731 | + | 0.355322i | ||||
\(365\) | 0.243685 | + | 4.57850i | 0.0127550 | + | 0.239650i | ||||
\(366\) | 1.11105 | − | 0.807223i | 0.0580754 | − | 0.0421942i | ||||
\(367\) | −12.8889 | + | 6.56720i | −0.672793 | + | 0.342805i | −0.756787 | − | 0.653661i | \(-0.773232\pi\) |
0.0839946 | + | 0.996466i | \(0.473232\pi\) | |||||||
\(368\) | 2.04009 | + | 2.04009i | 0.106347 | + | 0.106347i | ||||
\(369\) | −3.72413 | + | 11.4617i | −0.193870 | + | 0.596672i | ||||
\(370\) | 19.2381 | + | 2.00618i | 1.00014 | + | 0.104296i | ||||
\(371\) | −4.90547 | + | 8.61941i | −0.254679 | + | 0.447498i | ||||
\(372\) | −0.451069 | − | 0.229831i | −0.0233868 | − | 0.0119162i | ||||
\(373\) | 3.68715 | + | 23.2798i | 0.190913 | + | 1.20538i | 0.877948 | + | 0.478756i | \(0.158912\pi\) |
−0.687035 | + | 0.726625i | \(0.741088\pi\) | |||||||
\(374\) | −28.7120 | −1.48466 | ||||||||
\(375\) | 1.39654 | − | 1.40337i | 0.0721168 | − | 0.0724697i | ||||
\(376\) | − | 10.2161i | − | 0.526854i | ||||||
\(377\) | 2.39853 | + | 15.1437i | 0.123531 | + | 0.779941i | ||||
\(378\) | −0.925452 | − | 3.37018i | −0.0476001 | − | 0.173343i | ||||
\(379\) | 14.3686 | − | 4.66864i | 0.738066 | − | 0.239812i | 0.0842276 | − | 0.996447i | \(-0.473158\pi\) |
0.653838 | + | 0.756634i | \(0.273158\pi\) | |||||||
\(380\) | −0.324965 | − | 0.0338879i | −0.0166703 | − | 0.00173841i | ||||
\(381\) | −1.65382 | − | 0.537357i | −0.0847276 | − | 0.0275297i | ||||
\(382\) | −14.7054 | + | 14.7054i | −0.752396 | + | 0.752396i | ||||
\(383\) | −4.24204 | − | 8.32548i | −0.216758 | − | 0.425412i | 0.756866 | − | 0.653570i | \(-0.226730\pi\) |
−0.973624 | + | 0.228158i | \(0.926730\pi\) | |||||||
\(384\) | −0.897540 | + | 0.652101i | −0.0458024 | + | 0.0332774i | ||||
\(385\) | −18.0490 | + | 18.3038i | −0.919860 | + | 0.932846i | ||||
\(386\) | −18.4247 | − | 13.3864i | −0.937795 | − | 0.681348i | ||||
\(387\) | 3.69024 | − | 23.2993i | 0.187586 | − | 1.18437i | ||||
\(388\) | 0.905453 | − | 5.71680i | 0.0459674 | − | 0.290227i | ||||
\(389\) | 13.8549 | − | 19.0696i | 0.702471 | − | 0.966869i | −0.297455 | − | 0.954736i | \(-0.596138\pi\) |
0.999926 | − | 0.0121331i | \(-0.00386217\pi\) | |||||||
\(390\) | 2.44420 | + | 1.58446i | 0.123767 | + | 0.0802322i | ||||
\(391\) | 3.05791 | + | 4.20885i | 0.154645 | + | 0.212851i | ||||
\(392\) | 19.8162 | − | 7.88981i | 1.00087 | − | 0.398496i | ||||
\(393\) | 2.77083 | + | 2.77083i | 0.139770 | + | 0.139770i | ||||
\(394\) | −5.53270 | − | 1.79768i | −0.278733 | − | 0.0905659i | ||||
\(395\) | −2.49921 | − | 11.7110i | −0.125749 | − | 0.589245i | ||||
\(396\) | −1.74591 | − | 5.37336i | −0.0877353 | − | 0.270021i | ||||
\(397\) | −0.760728 | + | 1.49301i | −0.0381798 | + | 0.0749322i | −0.909308 | − | 0.416123i | \(-0.863389\pi\) |
0.871129 | + | 0.491055i | \(0.163389\pi\) | |||||||
\(398\) | 7.69246 | − | 1.21837i | 0.385588 | − | 0.0610712i | ||||
\(399\) | −0.115498 | + | 0.105298i | −0.00578216 | + | 0.00527151i | ||||
\(400\) | 13.3834 | − | 5.98481i | 0.669172 | − | 0.299240i | ||||
\(401\) | −29.0431 | −1.45034 | −0.725171 | − | 0.688568i | \(-0.758239\pi\) | ||||
−0.725171 | + | 0.688568i | \(0.758239\pi\) | |||||||
\(402\) | −0.0331031 | − | 0.209004i | −0.00165103 | − | 0.0104242i | ||||
\(403\) | −17.4409 | + | 34.2296i | −0.868792 | + | 1.70510i | ||||
\(404\) | −0.568288 | − | 1.74901i | −0.0282734 | − | 0.0870166i | ||||
\(405\) | −17.8167 | − | 7.91514i | −0.885318 | − | 0.393306i | ||||
\(406\) | 7.84703 | − | 3.55214i | 0.389441 | − | 0.176290i | ||||
\(407\) | 21.2652 | − | 21.2652i | 1.05408 | − | 1.05408i | ||||
\(408\) | −2.54188 | + | 1.29515i | −0.125842 | + | 0.0641197i | ||||
\(409\) | 20.4231 | − | 14.8382i | 1.00986 | − | 0.733703i | 0.0456772 | − | 0.998956i | \(-0.485455\pi\) |
0.964179 | + | 0.265253i | \(0.0854554\pi\) | |||||||
\(410\) | −8.81100 | + | 7.14688i | −0.435144 | + | 0.352959i | ||||
\(411\) | 0.318133 | − | 0.437872i | 0.0156923 | − | 0.0215986i | ||||
\(412\) | 7.50665 | + | 1.18894i | 0.369826 | + | 0.0585747i | ||||
\(413\) | 25.9424 | − | 17.0766i | 1.27654 | − | 0.840286i | ||||
\(414\) | 2.14583 | − | 2.95349i | 0.105462 | − | 0.145156i | ||||
\(415\) | −4.91215 | + | 1.89018i | −0.241128 | + | 0.0927855i | ||||
\(416\) | −8.40518 | − | 11.5687i | −0.412098 | − | 0.567204i | ||||
\(417\) | −1.04533 | − | 2.05157i | −0.0511900 | − | 0.100466i | ||||
\(418\) | 1.28097 | − | 1.28097i | 0.0626544 | − | 0.0626544i | ||||
\(419\) | −7.17191 | + | 22.0729i | −0.350371 | + | 1.07833i | 0.608274 | + | 0.793727i | \(0.291862\pi\) |
−0.958645 | + | 0.284604i | \(0.908138\pi\) | |||||||
\(420\) | −0.138737 | + | 0.437397i | −0.00676968 | + | 0.0213428i | ||||
\(421\) | 7.00904 | + | 21.5716i | 0.341600 | + | 1.05134i | 0.963379 | + | 0.268144i | \(0.0864101\pi\) |
−0.621779 | + | 0.783193i | \(0.713590\pi\) | |||||||
\(422\) | 19.0761 | + | 9.71974i | 0.928608 | + | 0.473149i | ||||
\(423\) | −9.83077 | + | 1.55704i | −0.477988 | + | 0.0757059i | ||||
\(424\) | − | 11.4217i | − | 0.554686i | ||||||
\(425\) | 25.5240 | − | 6.88367i | 1.23810 | − | 0.333907i | ||||
\(426\) | 0.668681i | 0.0323977i | ||||||||
\(427\) | 10.2527 | − | 12.8226i | 0.496163 | − | 0.620531i | ||||
\(428\) | −2.94056 | + | 5.77117i | −0.142137 | + | 0.278960i | ||||
\(429\) | 4.30723 | − | 1.39950i | 0.207955 | − | 0.0675686i | ||||
\(430\) | 14.8459 | − | 16.5151i | 0.715934 | − | 0.796427i | ||||
\(431\) | −11.0978 | + | 34.1556i | −0.534564 | + | 1.64522i | 0.210025 | + | 0.977696i | \(0.432645\pi\) |
−0.744589 | + | 0.667523i | \(0.767355\pi\) | |||||||
\(432\) | 2.19138 | + | 2.19138i | 0.105433 | + | 0.105433i | ||||
\(433\) | −2.85277 | − | 5.59888i | −0.137096 | − | 0.269065i | 0.812244 | − | 0.583318i | \(-0.198246\pi\) |
−0.949339 | + | 0.314253i | \(0.898246\pi\) | |||||||
\(434\) | 21.1378 | + | 4.35628i | 1.01465 | + | 0.209108i | ||||
\(435\) | −0.266152 | + | 0.996536i | −0.0127610 | + | 0.0477802i | ||||
\(436\) | −1.24956 | − | 0.907857i | −0.0598430 | − | 0.0434785i | ||||
\(437\) | −0.324203 | − | 0.0513487i | −0.0155087 | − | 0.00245634i | ||||
\(438\) | −0.448216 | − | 0.0709904i | −0.0214166 | − | 0.00339205i | ||||
\(439\) | 28.7166 | + | 20.8638i | 1.37057 | + | 0.995777i | 0.997692 | + | 0.0678955i | \(0.0216285\pi\) |
0.372876 | + | 0.927881i | \(0.378372\pi\) | |||||||
\(440\) | 7.63895 | − | 28.6020i | 0.364173 | − | 1.36355i | ||||
\(441\) | −10.6124 | − | 17.8663i | −0.505354 | − | 0.850777i | ||||
\(442\) | 17.6575 | + | 34.6548i | 0.839881 | + | 1.64836i | ||||
\(443\) | −13.5005 | − | 13.5005i | −0.641429 | − | 0.641429i | 0.309478 | − | 0.950907i | \(-0.399846\pi\) |
−0.950907 | + | 0.309478i | \(0.899846\pi\) | |||||||
\(444\) | 0.165892 | − | 0.510564i | 0.00787290 | − | 0.0242303i | ||||
\(445\) | 10.9379 | − | 12.1677i | 0.518506 | − | 0.576803i | ||||
\(446\) | 2.72669 | − | 0.885955i | 0.129112 | − | 0.0419512i | ||||
\(447\) | −0.604895 | + | 1.18717i | −0.0286106 | + | 0.0561514i | ||||
\(448\) | −14.7060 | + | 18.3923i | −0.694796 | + | 0.868954i | ||||
\(449\) | − | 23.4517i | − | 1.10675i | −0.832931 | − | 0.553377i | \(-0.813339\pi\) | ||
0.832931 | − | 0.553377i | \(-0.186661\pi\) | |||||||
\(450\) | −10.1289 | − | 15.5417i | −0.477481 | − | 0.732643i | ||||
\(451\) | 17.6394i | 0.830606i | ||||||||
\(452\) | 6.20759 | − | 0.983186i | 0.291981 | − | 0.0462452i | ||||
\(453\) | 3.29629 | + | 1.67954i | 0.154873 | + | 0.0789117i | ||||
\(454\) | 1.31737 | + | 4.05446i | 0.0618274 | + | 0.190285i | ||||
\(455\) | 33.1922 | + | 10.5282i | 1.55607 | + | 0.493568i | ||||
\(456\) | 0.0556223 | − | 0.171188i | 0.00260475 | − | 0.00801660i | ||||
\(457\) | −14.2402 | + | 14.2402i | −0.666130 | + | 0.666130i | −0.956818 | − | 0.290688i | \(-0.906116\pi\) |
0.290688 | + | 0.956818i | \(0.406116\pi\) | |||||||
\(458\) | 7.34238 | + | 14.4102i | 0.343087 | + | 0.673346i | ||||
\(459\) | 3.28469 | + | 4.52099i | 0.153316 | + | 0.211022i | ||||
\(460\) | −0.899424 | + | 0.346096i | −0.0419358 | + | 0.0161368i | ||||
\(461\) | 18.7781 | − | 25.8458i | 0.874582 | − | 1.20376i | −0.103310 | − | 0.994649i | \(-0.532943\pi\) |
0.977892 | − | 0.209110i | \(-0.0670567\pi\) | |||||||
\(462\) | −1.39890 | − | 2.12517i | −0.0650826 | − | 0.0988719i | ||||
\(463\) | −7.84420 | − | 1.24240i | −0.364551 | − | 0.0577392i | −0.0285280 | − | 0.999593i | \(-0.509082\pi\) |
−0.336023 | + | 0.941854i | \(0.609082\pi\) | |||||||
\(464\) | −4.48949 | + | 6.17925i | −0.208419 | + | 0.286864i | ||||
\(465\) | −2.00715 | + | 1.62806i | −0.0930793 | + | 0.0754996i | ||||
\(466\) | −1.69569 | + | 1.23199i | −0.0785513 | + | 0.0570709i | ||||
\(467\) | −13.1500 | + | 6.70025i | −0.608508 | + | 0.310050i | −0.730956 | − | 0.682425i | \(-0.760926\pi\) |
0.122448 | + | 0.992475i | \(0.460926\pi\) | |||||||
\(468\) | −5.41183 | + | 5.41183i | −0.250162 | + | 0.250162i | ||||
\(469\) | −1.04322 | − | 2.30458i | −0.0481716 | − | 0.106416i | ||||
\(470\) | −8.56291 | − | 3.80411i | −0.394977 | − | 0.175470i | ||||
\(471\) | −1.05028 | − | 3.23244i | −0.0483945 | − | 0.148943i | ||||
\(472\) | −16.2387 | + | 31.8702i | −0.747445 | + | 1.46694i | ||||
\(473\) | −5.40127 | − | 34.1023i | −0.248351 | − | 1.56802i | ||||
\(474\) | 1.18521 | 0.0544384 | ||||||||
\(475\) | −0.831631 | + | 1.44585i | −0.0381578 | + | 0.0663404i | ||||
\(476\) | −4.52786 | + | 4.12798i | −0.207534 | + | 0.189206i | ||||
\(477\) | −10.9909 | + | 1.74079i | −0.503239 | + | 0.0797052i | ||||
\(478\) | 5.66531 | − | 11.1188i | 0.259125 | − | 0.508562i | ||||
\(479\) | 8.26880 | + | 25.4488i | 0.377811 | + | 1.16278i | 0.941562 | + | 0.336839i | \(0.109358\pi\) |
−0.563751 | + | 0.825945i | \(0.690642\pi\) | |||||||
\(480\) | −0.200774 | − | 0.940805i | −0.00916406 | − | 0.0429417i | ||||
\(481\) | −38.7445 | − | 12.5889i | −1.76660 | − | 0.574002i | ||||
\(482\) | −23.4700 | − | 23.4700i | −1.06903 | − | 1.06903i | ||||
\(483\) | −0.162539 | + | 0.431399i | −0.00739579 | + | 0.0196293i | ||||
\(484\) | −2.02869 | − | 2.79226i | −0.0922133 | − | 0.126921i | ||||
\(485\) | −24.7945 | − | 16.0731i | −1.12586 | − | 0.729842i | ||||
\(486\) | 3.46352 | − | 4.76712i | 0.157108 | − | 0.216241i | ||||
\(487\) | −4.70106 | + | 29.6813i | −0.213025 | + | 1.34499i | 0.616867 | + | 0.787067i | \(0.288401\pi\) |
−0.829893 | + | 0.557923i | \(0.811599\pi\) | |||||||
\(488\) | −2.95779 | + | 18.6748i | −0.133893 | + | 0.845367i | ||||
\(489\) | 0.312417 | + | 0.226984i | 0.0141280 | + | 0.0102646i | ||||
\(490\) | 0.765776 | − | 19.5474i | 0.0345942 | − | 0.883062i | ||||
\(491\) | −28.9714 | + | 21.0489i | −1.30746 | + | 0.949925i | −0.999999 | − | 0.00163542i | \(-0.999479\pi\) |
−0.307461 | + | 0.951561i | \(0.599479\pi\) | |||||||
\(492\) | 0.142952 | + | 0.280559i | 0.00644476 | + | 0.0126486i | ||||
\(493\) | −9.73879 | + | 9.73879i | −0.438613 | + | 0.438613i | ||||
\(494\) | −2.33389 | − | 0.758327i | −0.105007 | − | 0.0341187i | ||||
\(495\) | −28.6875 | − | 2.99158i | −1.28941 | − | 0.134462i | ||||
\(496\) | −18.2009 | + | 5.91383i | −0.817245 | + | 0.265539i | ||||
\(497\) | 2.11675 | + | 7.70847i | 0.0949492 | + | 0.345772i | ||||
\(498\) | −0.0814924 | − | 0.514523i | −0.00365176 | − | 0.0230563i | ||||
\(499\) | − | 4.46251i | − | 0.199770i | −0.994999 | − | 0.0998848i | \(-0.968153\pi\) | ||
0.994999 | − | 0.0998848i | \(-0.0318474\pi\) | |||||||
\(500\) | 0.0119523 | + | 4.89708i | 0.000534524 | + | 0.219004i | ||||
\(501\) | −0.572906 | −0.0255955 | ||||||||
\(502\) | 1.84300 | + | 11.6363i | 0.0822573 | + | 0.519352i | ||||
\(503\) | 5.84493 | + | 2.97814i | 0.260613 | + | 0.132789i | 0.579416 | − | 0.815032i | \(-0.303281\pi\) |
−0.318803 | + | 0.947821i | \(0.603281\pi\) | |||||||
\(504\) | 20.7996 | + | 11.8374i | 0.926487 | + | 0.527281i | ||||
\(505\) | −9.33769 | − | 0.973751i | −0.415522 | − | 0.0433313i | ||||
\(506\) | 1.65120 | − | 5.08188i | 0.0734049 | − | 0.225917i | ||||
\(507\) | −2.71025 | − | 2.71025i | −0.120367 | − | 0.120367i | ||||
\(508\) | 3.83239 | − | 1.95270i | 0.170035 | − | 0.0866371i | ||||
\(509\) | 19.3515 | − | 14.0597i | 0.857740 | − | 0.623185i | −0.0695290 | − | 0.997580i | \(-0.522150\pi\) |
0.927269 | + | 0.374395i | \(0.122150\pi\) | |||||||
\(510\) | 0.139064 | + | 2.61282i | 0.00615785 | + | 0.115698i | ||||
\(511\) | −5.39169 | + | 0.600485i | −0.238514 | + | 0.0265639i | ||||
\(512\) | 3.90961 | − | 24.6843i | 0.172782 | − | 1.09090i | ||||
\(513\) | −0.348247 | − | 0.0551569i | −0.0153755 | − | 0.00243524i | ||||
\(514\) | −12.8718 | − | 9.35189i | −0.567750 | − | 0.412494i | ||||
\(515\) | 21.1053 | − | 32.5573i | 0.930012 | − | 1.43465i | ||||
\(516\) | −0.362278 | − | 0.498632i | −0.0159484 | − | 0.0219511i | ||||
\(517\) | −12.9804 | + | 6.61386i | −0.570879 | + | 0.290877i | ||||
\(518\) | −1.05615 | + | 22.8619i | −0.0464047 | + | 1.00449i | ||||
\(519\) | −3.52183 | − | 1.14431i | −0.154591 | − | 0.0502298i | ||||
\(520\) | −39.2199 | + | 8.36980i | −1.71991 | + | 0.367040i | ||||
\(521\) | −28.8783 | + | 9.38314i | −1.26518 | + | 0.411083i | −0.863338 | − | 0.504625i | \(-0.831631\pi\) |
−0.401844 | + | 0.915708i | \(0.631631\pi\) | |||||||
\(522\) | 8.61138 | + | 4.38772i | 0.376910 | + | 0.192045i | ||||
\(523\) | −5.35328 | + | 0.847876i | −0.234082 | + | 0.0370750i | −0.272373 | − | 0.962192i | \(-0.587809\pi\) |
0.0382910 | + | 0.999267i | \(0.487809\pi\) | |||||||
\(524\) | −9.69243 | −0.423416 | ||||||||
\(525\) | 1.75308 | + | 1.55382i | 0.0765108 | + | 0.0678144i | ||||
\(526\) | 20.7345 | 0.904069 | ||||||||
\(527\) | −34.0839 | + | 5.39835i | −1.48472 | + | 0.235156i | ||||
\(528\) | 2.01019 | + | 1.02424i | 0.0874824 | + | 0.0445745i | ||||
\(529\) | 20.9535 | − | 6.80820i | 0.911022 | − | 0.296009i | ||||
\(530\) | −9.57342 | − | 4.25303i | −0.415843 | − | 0.184740i | ||||
\(531\) | 33.1431 | + | 10.7688i | 1.43829 | + | 0.467328i | ||||
\(532\) | 0.0178403 | − | 0.386177i | 0.000773474 | − | 0.0167429i | ||||
\(533\) | 21.2904 | − | 10.8480i | 0.922189 | − | 0.469879i | ||||
\(534\) | 0.951840 | + | 1.31009i | 0.0411901 | + | 0.0566933i | ||||
\(535\) | 20.8302 | + | 25.6804i | 0.900567 | + | 1.11026i | ||||
\(536\) | 2.35697 | + | 1.71244i | 0.101806 | + | 0.0739660i | ||||
\(537\) | −0.517857 | − | 0.0820205i | −0.0223472 | − | 0.00353944i | ||||
\(538\) | 3.86975 | − | 24.4326i | 0.166837 | − | 1.05337i | ||||
\(539\) | −22.8536 | − | 20.0704i | −0.984376 | − | 0.864493i | ||||
\(540\) | −0.966128 | + | 0.371764i | −0.0415755 | + | 0.0159982i | ||||
\(541\) | −1.61027 | + | 1.16993i | −0.0692308 | + | 0.0502991i | −0.621862 | − | 0.783127i | \(-0.713624\pi\) |
0.552632 | + | 0.833426i | \(0.313624\pi\) | |||||||
\(542\) | 1.52311 | − | 0.776062i | 0.0654231 | − | 0.0333347i | ||||
\(543\) | 0.938102 | + | 0.938102i | 0.0402578 | + | 0.0402578i | ||||
\(544\) | 3.96934 | − | 12.2164i | 0.170184 | − | 0.523772i | ||||
\(545\) | −6.82539 | + | 3.94805i | −0.292367 | + | 0.169116i | ||||
\(546\) | −1.70474 | + | 2.99539i | −0.0729559 | + | 0.128191i | ||||
\(547\) | −22.6516 | − | 11.5416i | −0.968514 | − | 0.493483i | −0.103172 | − | 0.994664i | \(-0.532899\pi\) |
−0.865343 | + | 0.501181i | \(0.832899\pi\) | |||||||
\(548\) | 0.209426 | + | 1.32226i | 0.00894623 | + | 0.0564843i | ||||
\(549\) | 18.4212 | 0.786199 | ||||||||
\(550\) | −21.1291 | − | 17.0532i | −0.900949 | − | 0.727150i | ||||
\(551\) | − | 0.868984i | − | 0.0370199i | ||||||
\(552\) | −0.0830543 | − | 0.524384i | −0.00353503 | − | 0.0223193i | ||||
\(553\) | 13.6629 | − | 3.75184i | 0.581006 | − | 0.159545i | ||||
\(554\) | −30.0562 | + | 9.76585i | −1.27697 | + | 0.414911i | ||||
\(555\) | −2.03816 | − | 1.83216i | −0.0865149 | − | 0.0777710i | ||||
\(556\) | 5.41652 | + | 1.75993i | 0.229712 | + | 0.0746379i | ||||
\(557\) | 3.74492 | − | 3.74492i | 0.158678 | − | 0.158678i | −0.623303 | − | 0.781980i | \(-0.714210\pi\) |
0.781980 | + | 0.623303i | \(0.214210\pi\) | |||||||
\(558\) | 10.9938 | + | 21.5765i | 0.465404 | + | 0.913407i | ||||
\(559\) | −37.8391 | + | 27.4917i | −1.60042 | + | 1.16277i | ||||
\(560\) | 7.98338 | + | 15.4005i | 0.337359 | + | 0.650788i | ||||
\(561\) | 3.29122 | + | 2.39121i | 0.138955 | + | 0.100957i | ||||
\(562\) | 1.08045 | − | 6.82171i | 0.0455761 | − | 0.287756i | ||||
\(563\) | −0.296988 | + | 1.87511i | −0.0125166 | + | 0.0790264i | −0.993156 | − | 0.116796i | \(-0.962738\pi\) |
0.980639 | + | 0.195822i | \(0.0627376\pi\) | |||||||
\(564\) | −0.152857 | + | 0.210390i | −0.00643646 | + | 0.00885902i | ||||
\(565\) | 8.27905 | − | 30.9987i | 0.348302 | − | 1.30412i | ||||
\(566\) | 7.75415 | + | 10.6727i | 0.325931 | + | 0.448606i | ||||
\(567\) | 8.13313 | − | 21.5863i | 0.341559 | − | 0.906541i | ||||
\(568\) | −6.50976 | − | 6.50976i | −0.273143 | − | 0.273143i | ||||
\(569\) | −23.6607 | − | 7.68782i | −0.991908 | − | 0.322290i | −0.232280 | − | 0.972649i | \(-0.574619\pi\) |
−0.759627 | + | 0.650359i | \(0.774619\pi\) | |||||||
\(570\) | −0.122774 | − | 0.110366i | −0.00514245 | − | 0.00462271i | ||||
\(571\) | −13.9665 | − | 42.9845i | −0.584480 | − | 1.79884i | −0.601350 | − | 0.798986i | \(-0.705370\pi\) |
0.0168702 | − | 0.999858i | \(-0.494630\pi\) | |||||||
\(572\) | −5.08565 | + | 9.98115i | −0.212642 | + | 0.417333i | ||||
\(573\) | 2.91037 | − | 0.460958i | 0.121583 | − | 0.0192568i | ||||
\(574\) | −9.04386 | − | 9.91993i | −0.377483 | − | 0.414050i | ||||
\(575\) | −0.249490 | + | 4.91350i | −0.0104044 | + | 0.204907i | ||||
\(576\) | −26.4227 | −1.10095 | ||||||||
\(577\) | −5.85129 | − | 36.9436i | −0.243592 | − | 1.53798i | −0.741620 | − | 0.670820i | \(-0.765942\pi\) |
0.498028 | − | 0.867161i | \(-0.334058\pi\) | |||||||
\(578\) | −6.21549 | + | 12.1986i | −0.258530 | + | 0.507394i | ||||
\(579\) | 0.997153 | + | 3.06892i | 0.0414403 | + | 0.127540i | ||||
\(580\) | −1.27745 | − | 2.20846i | −0.0530433 | − | 0.0917013i | ||||
\(581\) | −2.56819 | − | 5.67338i | −0.106546 | − | 0.235371i | ||||
\(582\) | 2.06799 | − | 2.06799i | 0.0857211 | − | 0.0857211i | ||||
\(583\) | −14.5123 | + | 7.39437i | −0.601037 | + | 0.306243i | ||||
\(584\) | 5.05458 | − | 3.67237i | 0.209160 | − | 0.151964i | ||||
\(585\) | 14.0317 | + | 36.4650i | 0.580138 | + | 1.50764i | ||||
\(586\) | 10.3627 | − | 14.2631i | 0.428080 | − | 0.589202i | ||||
\(587\) | 13.6195 | + | 2.15712i | 0.562138 | + | 0.0890338i | 0.431035 | − | 0.902335i | \(-0.358148\pi\) |
0.131102 | + | 0.991369i | \(0.458148\pi\) | |||||||
\(588\) | −0.526146 | − | 0.134016i | −0.0216979 | − | 0.00552671i | ||||
\(589\) | 1.27979 | − | 1.76148i | 0.0527329 | − | 0.0725806i | ||||
\(590\) | 20.6662 | + | 25.4783i | 0.850815 | + | 1.04892i | ||||
\(591\) | 0.484490 | + | 0.666843i | 0.0199293 | + | 0.0274303i | ||||
\(592\) | −9.21332 | − | 18.0822i | −0.378665 | − | 0.743172i | ||||
\(593\) | −21.1417 | + | 21.1417i | −0.868184 | + | 0.868184i | −0.992271 | − | 0.124087i | \(-0.960400\pi\) |
0.124087 | + | 0.992271i | \(0.460400\pi\) | |||||||
\(594\) | 1.77366 | − | 5.45877i | 0.0727742 | − | 0.223976i | ||||
\(595\) | 9.87416 | + | 29.6801i | 0.404801 | + | 1.21676i | ||||
\(596\) | −1.01841 | − | 3.13435i | −0.0417158 | − | 0.128388i | ||||
\(597\) | −0.983245 | − | 0.500989i | −0.0402416 | − | 0.0205041i | ||||
\(598\) | −7.14920 | + | 1.13232i | −0.292352 | + | 0.0463041i | ||||
\(599\) | 17.4403i | 0.712593i | 0.934373 | + | 0.356296i | \(0.115961\pi\) | ||||
−0.934373 | + | 0.356296i | \(0.884039\pi\) | |||||||
\(600\) | −2.63981 | − | 0.556622i | −0.107770 | − | 0.0227240i | ||||
\(601\) | 1.64343i | 0.0670368i | 0.999438 | + | 0.0335184i | \(0.0106712\pi\) | ||||
−0.999438 | + | 0.0335184i | \(0.989329\pi\) | |||||||
\(602\) | 20.5221 | + | 16.4090i | 0.836416 | + | 0.668779i | ||||
\(603\) | 1.28862 | − | 2.52907i | 0.0524768 | − | 0.102992i | ||||
\(604\) | −8.70279 | + | 2.82771i | −0.354111 | + | 0.115058i | ||||
\(605\) | −17.2317 | + | 3.67737i | −0.700569 | + | 0.149506i | ||||
\(606\) | 0.287144 | − | 0.883738i | 0.0116644 | − | 0.0358994i | ||||
\(607\) | −8.01541 | − | 8.01541i | −0.325335 | − | 0.325335i | 0.525474 | − | 0.850810i | \(-0.323888\pi\) |
−0.850810 | + | 0.525474i | \(0.823888\pi\) | |||||||
\(608\) | 0.367938 | + | 0.722118i | 0.0149218 | + | 0.0292858i | ||||
\(609\) | −1.19533 | − | 0.246344i | −0.0484370 | − | 0.00998237i | ||||
\(610\) | 14.5514 | + | 9.43299i | 0.589170 | + | 0.381931i | ||||
\(611\) | 15.9656 | + | 11.5997i | 0.645899 | + | 0.469273i | ||||
\(612\) | −6.79026 | − | 1.07547i | −0.274480 | − | 0.0434733i | ||||
\(613\) | 38.2131 | + | 6.05236i | 1.54341 | + | 0.244452i | 0.869340 | − | 0.494214i | \(-0.164544\pi\) |
0.674071 | + | 0.738666i | \(0.264544\pi\) | |||||||
\(614\) | −1.84326 | − | 1.33921i | −0.0743879 | − | 0.0540460i | ||||
\(615\) | 1.60520 | − | 0.0854348i | 0.0647281 | − | 0.00344506i | ||||
\(616\) | 34.3076 | + | 7.07043i | 1.38229 | + | 0.284876i | ||||
\(617\) | 16.3170 | + | 32.0240i | 0.656899 | + | 1.28924i | 0.943559 | + | 0.331204i | \(0.107455\pi\) |
−0.286660 | + | 0.958032i | \(0.592545\pi\) | |||||||
\(618\) | 2.71545 | + | 2.71545i | 0.109231 | + | 0.109231i | ||||
\(619\) | 0.158585 | − | 0.488075i | 0.00637408 | − | 0.0196174i | −0.947819 | − | 0.318809i | \(-0.896717\pi\) |
0.954193 | + | 0.299192i | \(0.0967171\pi\) | |||||||
\(620\) | 0.663027 | − | 6.35804i | 0.0266278 | − | 0.255345i | ||||
\(621\) | −0.989093 | + | 0.321376i | −0.0396909 | + | 0.0128964i | ||||
\(622\) | 4.24130 | − | 8.32401i | 0.170060 | − | 0.333762i | ||||
\(623\) | 15.1199 | + | 12.0895i | 0.605764 | + | 0.484355i | ||||
\(624\) | − | 3.05616i | − | 0.122344i | ||||||
\(625\) | 22.8716 | + | 10.0940i | 0.914864 | + | 0.403762i | ||||
\(626\) | − | 8.02892i | − | 0.320900i | ||||||
\(627\) | −0.253519 | + | 0.0401534i | −0.0101246 | + | 0.00160357i | ||||
\(628\) | 7.49055 | + | 3.81663i | 0.298905 | + | 0.152300i | ||||
\(629\) | −11.3082 | − | 34.8031i | −0.450888 | − | 1.38769i | ||||
\(630\) | 17.6669 | − | 13.0259i | 0.703867 | − | 0.518966i | ||||
\(631\) | 14.3375 | − | 44.1262i | 0.570766 | − | 1.75664i | −0.0793991 | − | 0.996843i | \(-0.525300\pi\) |
0.650165 | − | 0.759793i | \(-0.274700\pi\) | |||||||
\(632\) | −11.5382 | + | 11.5382i | −0.458967 | + | 0.458967i | ||||
\(633\) | −1.37718 | − | 2.70286i | −0.0547379 | − | 0.107429i | ||||
\(634\) | −6.13360 | − | 8.44217i | −0.243596 | − | 0.335281i | ||||
\(635\) | −1.16703 | − | 21.9269i | −0.0463121 | − | 0.870142i | ||||
\(636\) | −0.170896 | + | 0.235218i | −0.00677648 | + | 0.00932702i | ||||
\(637\) | −10.1699 | + | 39.9269i | −0.402945 | + | 1.58196i | ||||
\(638\) | 13.9718 | + | 2.21292i | 0.553149 | + | 0.0876102i | ||||
\(639\) | −5.27208 | + | 7.25639i | −0.208560 | + | 0.287058i | ||||
\(640\) | −11.7551 | − | 7.62027i | −0.464662 | − | 0.301218i | ||||
\(641\) | 0.291011 | − | 0.211432i | 0.0114942 | − | 0.00835104i | −0.582023 | − | 0.813172i | \(-0.697739\pi\) |
0.593518 | + | 0.804821i | \(0.297739\pi\) | |||||||
\(642\) | −2.91605 | + | 1.48580i | −0.115087 | + | 0.0586399i | ||||
\(643\) | 20.7122 | − | 20.7122i | 0.816810 | − | 0.816810i | −0.168834 | − | 0.985644i | \(-0.554000\pi\) |
0.985644 | + | 0.168834i | \(0.0540002\pi\) | |||||||
\(644\) | −0.470240 | − | 1.03881i | −0.0185300 | − | 0.0409347i | ||||
\(645\) | −3.07719 | + | 0.656693i | −0.121164 | + | 0.0258573i | ||||
\(646\) | −0.681183 | − | 2.09647i | −0.0268008 | − | 0.0824843i | ||||
\(647\) | 18.5916 | − | 36.4880i | 0.730910 | − | 1.43449i | −0.163176 | − | 0.986597i | \(-0.552174\pi\) |
0.894086 | − | 0.447895i | \(-0.147826\pi\) | |||||||
\(648\) | 4.15587 | + | 26.2391i | 0.163258 | + | 1.03077i | ||||
\(649\) | 51.0068 | 2.00219 | ||||||||
\(650\) | −7.58871 | + | 35.9899i | −0.297654 | + | 1.41164i | ||||
\(651\) | −2.06019 | − | 2.25976i | −0.0807454 | − | 0.0885671i | ||||
\(652\) | −0.943420 | + | 0.149423i | −0.0369472 | + | 0.00585186i | ||||
\(653\) | 4.11669 | − | 8.07947i | 0.161099 | − | 0.316174i | −0.796321 | − | 0.604875i | \(-0.793223\pi\) |
0.957419 | + | 0.288701i | \(0.0932232\pi\) | |||||||
\(654\) | −0.241164 | − | 0.742226i | −0.00943026 | − | 0.0290233i | ||||
\(655\) | −20.0888 | + | 45.2191i | −0.784933 | + | 1.76686i | ||||
\(656\) | 11.3207 | + | 3.67833i | 0.442000 | + | 0.143615i | ||||
\(657\) | −4.30423 | − | 4.30423i | −0.167924 | − | 0.167924i | ||||
\(658\) | 3.90888 | − | 10.3746i | 0.152384 | − | 0.404445i | ||||
\(659\) | 8.09879 | + | 11.1470i | 0.315484 | + | 0.434227i | 0.937082 | − | 0.349110i | \(-0.113516\pi\) |
−0.621598 | + | 0.783337i | \(0.713516\pi\) | |||||||
\(660\) | −0.585272 | + | 0.474733i | −0.0227817 | + | 0.0184790i | ||||
\(661\) | 13.6373 | − | 18.7701i | 0.530428 | − | 0.730071i | −0.456768 | − | 0.889586i | \(-0.650993\pi\) |
0.987196 | + | 0.159515i | \(0.0509929\pi\) | |||||||
\(662\) | −0.824240 | + | 5.20405i | −0.0320350 | + | 0.202261i | ||||
\(663\) | 0.862086 | − | 5.44299i | 0.0334806 | − | 0.211388i | ||||
\(664\) | 5.80233 | + | 4.21564i | 0.225174 | + | 0.163599i | ||||
\(665\) | −1.76469 | − | 0.883631i | −0.0684319 | − | 0.0342658i | ||||
\(666\) | −20.7750 | + | 15.0939i | −0.805014 | + | 0.584877i | ||||
\(667\) | −1.16365 | − | 2.28379i | −0.0450566 | − | 0.0884287i | ||||
\(668\) | 1.00202 | − | 1.00202i | 0.0387693 | − | 0.0387693i | ||||
\(669\) | −0.386341 | − | 0.125530i | −0.0149368 | − | 0.00485327i | ||||
\(670\) | 2.31298 | − | 1.33791i | 0.0893583 | − | 0.0516880i | ||||
\(671\) | 25.6428 | − | 8.33186i | 0.989930 | − | 0.321648i | ||||
\(672\) | 1.09761 | − | 0.301405i | 0.0423413 | − | 0.0116269i | ||||
\(673\) | −1.46242 | − | 9.23334i | −0.0563721 | − | 0.355919i | −0.999710 | − | 0.0240854i | \(-0.992333\pi\) |
0.943338 | − | 0.331834i | \(-0.107667\pi\) | |||||||
\(674\) | − | 19.8573i | − | 0.764876i | ||||||
\(675\) | −0.267992 | + | 5.27790i | −0.0103150 | + | 0.203147i | ||||
\(676\) | 9.48054 | 0.364636 | ||||||||
\(677\) | 2.25056 | + | 14.2095i | 0.0864961 | + | 0.546115i | 0.992441 | + | 0.122720i | \(0.0391617\pi\) |
−0.905945 | + | 0.423395i | \(0.860838\pi\) | |||||||
\(678\) | 2.82954 | + | 1.44172i | 0.108668 | + | 0.0553689i | ||||
\(679\) | 17.2932 | − | 30.3859i | 0.663652 | − | 1.16610i | ||||
\(680\) | −26.7902 | − | 24.0826i | −1.02736 | − | 0.923525i | ||||
\(681\) | 0.186657 | − | 0.574472i | 0.00715272 | − | 0.0220138i | ||||
\(682\) | 25.0626 | + | 25.0626i | 0.959697 | + | 0.959697i | ||||
\(683\) | −4.40939 | + | 2.24670i | −0.168721 | + | 0.0859675i | −0.536311 | − | 0.844020i | \(-0.680183\pi\) |
0.367591 | + | 0.929988i | \(0.380183\pi\) | |||||||
\(684\) | 0.350926 | − | 0.254963i | 0.0134180 | − | 0.00974874i | ||||
\(685\) | 6.60295 | + | 1.76350i | 0.252286 | + | 0.0673799i | ||||
\(686\) | 23.1426 | − | 0.430190i | 0.883587 | − | 0.0164247i | ||||
\(687\) | 0.358474 | − | 2.26332i | 0.0136766 | − | 0.0863510i | ||||
\(688\) | −23.0127 | − | 3.64486i | −0.877352 | − | 0.138959i | ||||
\(689\) | 17.8497 | + | 12.9686i | 0.680020 | + | 0.494063i | ||||
\(690\) | −0.470455 | − | 0.125648i | −0.0179099 | − | 0.00478333i | ||||
\(691\) | 11.7388 | + | 16.1571i | 0.446565 | + | 0.614644i | 0.971655 | − | 0.236403i | \(-0.0759685\pi\) |
−0.525090 | + | 0.851046i | \(0.675969\pi\) | |||||||
\(692\) | 8.16116 | − | 4.15832i | 0.310241 | − | 0.158076i | ||||
\(693\) | 1.57492 | − | 34.0912i | 0.0598262 | − | 1.29502i | ||||
\(694\) | 9.85166 | + | 3.20100i | 0.373964 | + | 0.121508i | ||||
\(695\) | 19.4372 | − | 21.6226i | 0.737296 | − | 0.820191i | ||||
\(696\) | 1.33675 | − | 0.434337i | 0.0506694 | − | 0.0164635i | ||||
\(697\) | 19.1245 | + | 9.74444i | 0.724393 | + | 0.369097i | ||||
\(698\) | −5.14662 | + | 0.815145i | −0.194803 | + | 0.0308537i | ||||
\(699\) | 0.296978 | 0.0112327 | ||||||||
\(700\) | −5.78383 | + | 0.348506i | −0.218608 | + | 0.0131723i | ||||
\(701\) | 28.9617 | 1.09387 | 0.546935 | − | 0.837175i | \(-0.315795\pi\) | ||||
0.546935 | + | 0.837175i | \(0.315795\pi\) | |||||||
\(702\) | −7.67940 | + | 1.21630i | −0.289840 | + | 0.0459062i | ||||
\(703\) | 2.05723 | + | 1.04821i | 0.0775901 | + | 0.0395341i | ||||
\(704\) | −36.7810 | + | 11.9509i | −1.38624 | + | 0.450416i | ||||
\(705\) | 0.664739 | + | 1.14920i | 0.0250355 | + | 0.0432814i | ||||
\(706\) | −28.4422 | − | 9.24142i | −1.07044 | − | 0.347805i | ||||
\(707\) | 0.512631 | − | 11.0966i | 0.0192795 | − | 0.417330i | ||||
\(708\) | 0.811275 | − | 0.413365i | 0.0304896 | − | 0.0155352i | ||||
\(709\) | −8.64868 | − | 11.9039i | −0.324808 | − | 0.447060i | 0.615119 | − | 0.788434i | \(-0.289108\pi\) |
−0.939928 | + | 0.341374i | \(0.889108\pi\) | |||||||
\(710\) | −7.88035 | + | 3.03234i | −0.295744 | + | 0.113802i | ||||
\(711\) | 12.8616 | + | 9.34451i | 0.482348 | + | 0.350447i | ||||
\(712\) | −22.0204 | − | 3.48769i | −0.825250 | − | 0.130707i | ||||
\(713\) | 1.00465 | − | 6.34313i | 0.0376246 | − | 0.237552i | ||||
\(714\) | −3.07689 | + | 0.342680i | −0.115150 | + | 0.0128245i | ||||
\(715\) | 36.0254 | + | 44.4138i | 1.34727 | + | 1.66098i | ||||
\(716\) | 1.04919 | − | 0.762284i | 0.0392102 | − | 0.0284879i | ||||
\(717\) | −1.57541 | + | 0.802711i | −0.0588347 | + | 0.0299778i | ||||
\(718\) | −15.7435 | − | 15.7435i | −0.587542 | − | 0.587542i | ||||
\(719\) | 3.65557 | − | 11.2507i | 0.136330 | − | 0.419580i | −0.859465 | − | 0.511195i | \(-0.829203\pi\) |
0.995794 | + | 0.0916151i | \(0.0292029\pi\) | |||||||
\(720\) | −7.90214 | + | 17.7874i | −0.294495 | + | 0.662899i | ||||
\(721\) | 39.8993 | + | 22.7074i | 1.48593 | + | 0.845669i | ||||
\(722\) | −21.0340 | − | 10.7174i | −0.782806 | − | 0.398859i | ||||
\(723\) | 0.735693 | + | 4.64498i | 0.0273607 | + | 0.172749i | ||||
\(724\) | −3.28151 | −0.121956 | ||||||||
\(725\) | −12.9510 | + | 1.38252i | −0.480989 | + | 0.0513454i | ||||
\(726\) | − | 1.74393i | − | 0.0647232i | ||||||
\(727\) | −0.162394 | − | 1.02532i | −0.00602288 | − | 0.0380270i | 0.984494 | − | 0.175419i | \(-0.0561280\pi\) |
−0.990517 | + | 0.137392i | \(0.956128\pi\) | |||||||
\(728\) | −12.5648 | − | 45.7568i | −0.465684 | − | 1.69586i | ||||
\(729\) | 24.0821 | − | 7.82474i | 0.891928 | − | 0.289805i | ||||
\(730\) | −1.19596 | − | 5.60411i | −0.0442643 | − | 0.207417i | ||||
\(731\) | −39.9573 | − | 12.9829i | −1.47787 | − | 0.480191i | ||||
\(732\) | 0.340333 | − | 0.340333i | 0.0125791 | − | 0.0125791i | ||||
\(733\) | 13.0537 | + | 25.6193i | 0.482149 | + | 0.946270i | 0.996082 | + | 0.0884397i | \(0.0281881\pi\) |
−0.513933 | + | 0.857830i | \(0.671812\pi\) | |||||||
\(734\) | 14.6262 | − | 10.6265i | 0.539861 | − | 0.392232i | ||||
\(735\) | −1.71574 | + | 2.17692i | −0.0632860 | + | 0.0802968i | ||||
\(736\) | 1.93396 | + | 1.40511i | 0.0712869 | + | 0.0517929i | ||||
\(737\) | 0.649909 | − | 4.10336i | 0.0239397 | − | 0.151149i | ||||
\(738\) | 2.35621 | − | 14.8765i | 0.0867333 | − | 0.547613i | ||||
\(739\) | −7.86880 | + | 10.8305i | −0.289458 | + | 0.398405i | −0.928838 | − | 0.370486i | \(-0.879191\pi\) |
0.639380 | + | 0.768891i | \(0.279191\pi\) | |||||||
\(740\) | 6.76924 | − | 0.360283i | 0.248842 | − | 0.0132443i | ||||
\(741\) | 0.204375 | + | 0.281298i | 0.00750791 | + | 0.0103338i | ||||
\(742\) | 4.37017 | − | 11.5990i | 0.160434 | − | 0.425811i | ||||
\(743\) | 5.16579 | + | 5.16579i | 0.189515 | + | 0.189515i | 0.795486 | − | 0.605972i | \(-0.207216\pi\) |
−0.605972 | + | 0.795486i | \(0.707216\pi\) | |||||||
\(744\) | 3.34934 | + | 1.08827i | 0.122793 | + | 0.0398978i | ||||
\(745\) | −16.7338 | − | 1.74503i | −0.613079 | − | 0.0639330i | ||||
\(746\) | −9.10291 | − | 28.0159i | −0.333281 | − | 1.02573i | ||||
\(747\) | 3.17231 | − | 6.22600i | 0.116069 | − | 0.227798i | ||||
\(748\) | −9.93864 | + | 1.57413i | −0.363393 | + | 0.0575557i | ||||
\(749\) | −28.9124 | + | 26.3591i | −1.05644 | + | 0.963139i | ||||
\(750\) | −1.44952 | + | 2.00537i | −0.0529291 | + | 0.0732258i | ||||
\(751\) | −26.2567 | −0.958119 | −0.479060 | − | 0.877782i | \(-0.659022\pi\) | ||||
−0.479060 | + | 0.877782i | \(0.659022\pi\) | |||||||
\(752\) | 1.53789 | + | 9.70986i | 0.0560811 | + | 0.354082i | ||||
\(753\) | 0.757838 | − | 1.48734i | 0.0276171 | − | 0.0542017i | ||||
\(754\) | −5.92153 | − | 18.2246i | −0.215650 | − | 0.663701i | ||||
\(755\) | −4.84522 | + | 46.4628i | −0.176336 | + | 1.69095i | ||||
\(756\) | −0.505114 | − | 1.11585i | −0.0183708 | − | 0.0405830i | ||||
\(757\) | 25.7107 | − | 25.7107i | 0.934472 | − | 0.934472i | −0.0635094 | − | 0.997981i | \(-0.520229\pi\) |
0.997981 | + | 0.0635094i | \(0.0202293\pi\) | |||||||
\(758\) | −16.8240 | + | 8.57224i | −0.611074 | + | 0.311358i | ||||
\(759\) | −0.612507 | + | 0.445013i | −0.0222326 | + | 0.0161529i | ||||
\(760\) | 2.26967 | − | 0.120800i | 0.0823295 | − | 0.00438187i | ||||
\(761\) | −25.6410 | + | 35.2918i | −0.929486 | + | 1.27933i | 0.0305733 | + | 0.999533i | \(0.490267\pi\) |
−0.960060 | + | 0.279796i | \(0.909733\pi\) | |||||||
\(762\) | 2.14655 | + | 0.339979i | 0.0777611 | + | 0.0123162i | ||||
\(763\) | −5.12966 | − | 7.79286i | −0.185706 | − | 0.282121i | ||||
\(764\) | −4.28406 | + | 5.89651i | −0.154992 | + | 0.213328i | ||||
\(765\) | −19.0912 | + | 29.4502i | −0.690242 | + | 1.06478i | ||||
\(766\) | 6.86414 | + | 9.44768i | 0.248012 | + | 0.341359i | ||||
\(767\) | −31.3685 | − | 61.5641i | −1.13265 | − | 2.22295i | ||||
\(768\) | −1.24856 | + | 1.24856i | −0.0450534 | + | 0.0450534i | ||||
\(769\) | −0.670773 | + | 2.06443i | −0.0241887 | + | 0.0744451i | −0.962422 | − | 0.271558i | \(-0.912461\pi\) |
0.938233 | + | 0.346003i | \(0.112461\pi\) | |||||||
\(770\) | 18.7012 | − | 26.1231i | 0.673945 | − | 0.941411i | ||||
\(771\) | 0.696624 | + | 2.14399i | 0.0250883 | + | 0.0772139i | ||||
\(772\) | −7.11162 | − | 3.62355i | −0.255953 | − | 0.130414i | ||||
\(773\) | 34.8685 | − | 5.52263i | 1.25413 | − | 0.198635i | 0.506205 | − | 0.862413i | \(-0.331048\pi\) |
0.747930 | + | 0.663778i | \(0.231048\pi\) | |||||||
\(774\) | 29.4823i | 1.05972i | ||||||||
\(775\) | −28.2886 | − | 16.2711i | −1.01616 | − | 0.584476i | ||||
\(776\) | 40.2647i | 1.44542i | ||||||||
\(777\) | 2.02506 | − | 2.53266i | 0.0726486 | − | 0.0908588i | ||||
\(778\) | −13.3743 | + | 26.2485i | −0.479492 | + | 0.941055i | ||||
\(779\) | −1.28798 | + | 0.418489i | −0.0461465 | + | 0.0149939i | ||||
\(780\) | 0.932928 | + | 0.414457i | 0.0334042 | + | 0.0148399i | ||||
\(781\) | −4.05682 | + | 12.4856i | −0.145165 | + | 0.446771i | ||||
\(782\) | −4.59758 | − | 4.59758i | −0.164409 | − | 0.164409i | ||||
\(783\) | −1.24995 | − | 2.45316i | −0.0446695 | − | 0.0876688i | ||||
\(784\) | −17.6466 | + | 10.4819i | −0.630235 | + | 0.374354i | ||||
\(785\) | 33.3312 | − | 27.0360i | 1.18964 | − | 0.964956i | ||||
\(786\) | −3.96206 | − | 2.87861i | −0.141322 | − | 0.102677i | ||||
\(787\) | 2.62740 | + | 0.416140i | 0.0936568 | + | 0.0148338i | 0.203087 | − | 0.979161i | \(-0.434903\pi\) |
−0.109430 | + | 0.993994i | \(0.534903\pi\) | |||||||
\(788\) | −2.01370 | − | 0.318938i | −0.0717350 | − | 0.0113617i | ||||
\(789\) | −2.37677 | − | 1.72683i | −0.0846153 | − | 0.0614766i | ||||
\(790\) | 5.37468 | + | 13.9676i | 0.191223 | + | 0.496943i | ||||
\(791\) | 37.1823 | + | 7.66289i | 1.32205 | + | 0.272461i | ||||
\(792\) | 17.8434 | + | 35.0197i | 0.634038 | + | 1.24437i | ||||
\(793\) | −25.8264 | − | 25.8264i | −0.917122 | − | 0.917122i | ||||
\(794\) | 0.647149 | − | 1.99172i | 0.0229665 | − | 0.0706835i | ||||
\(795\) | 0.743185 | + | 1.28482i | 0.0263581 | + | 0.0455678i | ||||
\(796\) | 2.59595 | − | 0.843474i | 0.0920109 | − | 0.0298961i | ||||
\(797\) | 11.6782 | − | 22.9197i | 0.413662 | − | 0.811858i | −0.586336 | − | 0.810068i | \(-0.699430\pi\) |
0.999998 | − | 0.00178998i | \(-0.000569767\pi\) | |||||||
\(798\) | 0.121985 | − | 0.152562i | 0.00431824 | − | 0.00540065i | ||||
\(799\) | 17.7270i | 0.627136i | ||||||||
\(800\) | 10.1768 | − | 6.63247i | 0.359805 | − | 0.234493i | ||||
\(801\) | 21.7214i | 0.767490i | ||||||||
\(802\) | 35.8511 | − | 5.67825i | 1.26594 | − | 0.200506i | ||||
\(803\) | −7.93839 | − | 4.04481i | −0.280140 | − | 0.142738i | ||||
\(804\) | −0.0229172 | − | 0.0705319i | −0.000808228 | − | 0.00248747i | ||||
\(805\) | −5.82108 | + | 0.0408011i | −0.205166 | + | 0.00143805i | ||||
\(806\) | 14.8369 | − | 45.6633i | 0.522607 | − | 1.60842i | ||||
\(807\) | −2.47840 | + | 2.47840i | −0.0872437 | + | 0.0872437i | ||||
\(808\) | 5.80797 | + | 11.3988i | 0.204324 | + | 0.401008i | ||||
\(809\) | −9.61782 | − | 13.2378i | −0.338145 | − | 0.465416i | 0.605754 | − | 0.795652i | \(-0.292872\pi\) |
−0.943898 | + | 0.330236i | \(0.892872\pi\) | |||||||
\(810\) | 23.5406 | + | 6.28716i | 0.827132 | + | 0.220908i | ||||
\(811\) | 7.56616 | − | 10.4139i | 0.265684 | − | 0.365683i | −0.655243 | − | 0.755418i | \(-0.727434\pi\) |
0.920927 | + | 0.389736i | \(0.127434\pi\) | |||||||
\(812\) | 2.52150 | − | 1.65978i | 0.0884873 | − | 0.0582469i | ||||
\(813\) | −0.239224 | − | 0.0378894i | −0.00838996 | − | 0.00132884i | ||||
\(814\) | −22.0924 | + | 30.4076i | −0.774338 | + | 1.06578i | ||||
\(815\) | −1.25824 | + | 4.71113i | −0.0440741 | + | 0.165024i | ||||
\(816\) | 2.22096 | − | 1.61362i | 0.0777492 | − | 0.0564881i | ||||
\(817\) | 2.36191 | − | 1.20345i | 0.0826326 | − | 0.0421034i | ||||
\(818\) | −22.3094 | + | 22.3094i | −0.780030 | + | 0.780030i | ||||
\(819\) | −42.1160 | + | 19.0648i | −1.47165 | + | 0.666177i | ||||
\(820\) | −2.65810 | + | 2.95695i | −0.0928248 | + | 0.103261i | ||||
\(821\) | 14.3042 | + | 44.0237i | 0.499219 | + | 1.53644i | 0.810277 | + | 0.586048i | \(0.199317\pi\) |
−0.311057 | + | 0.950391i | \(0.600683\pi\) | |||||||
\(822\) | −0.307097 | + | 0.602712i | −0.0107112 | + | 0.0210220i | ||||
\(823\) | −5.75031 | − | 36.3060i | −0.200443 | − | 1.26555i | −0.858591 | − | 0.512661i | \(-0.828660\pi\) |
0.658148 | − | 0.752889i | \(-0.271340\pi\) | |||||||
\(824\) | −52.8710 | −1.84185 | ||||||||
\(825\) | 1.00177 | + | 3.71447i | 0.0348772 | + | 0.129321i | ||||
\(826\) | −28.6849 | + | 26.1516i | −0.998075 | + | 0.909930i | ||||
\(827\) | −23.7832 | + | 3.76688i | −0.827021 | + | 0.130987i | −0.555575 | − | 0.831466i | \(-0.687502\pi\) |
−0.271446 | + | 0.962454i | \(0.587502\pi\) | |||||||
\(828\) | 0.580855 | − | 1.13999i | 0.0201861 | − | 0.0396175i | ||||
\(829\) | −5.65439 | − | 17.4024i | −0.196385 | − | 0.604411i | −0.999958 | − | 0.00920426i | \(-0.997070\pi\) |
0.803573 | − | 0.595207i | \(-0.202930\pi\) | |||||||
\(830\) | 5.69405 | − | 3.29364i | 0.197643 | − | 0.114324i | ||||
\(831\) | 4.25863 | + | 1.38371i | 0.147730 | + | 0.0480004i | ||||
\(832\) | 37.0443 | + | 37.0443i | 1.28428 | + | 1.28428i | ||||
\(833\) | −34.3851 | + | 13.6904i | −1.19137 | + | 0.474345i | ||||
\(834\) | 1.69147 | + | 2.32811i | 0.0585708 | + | 0.0806157i | ||||
\(835\) | −2.59802 | − | 6.75164i | −0.0899081 | − | 0.233650i | ||||
\(836\) | 0.373179 | − | 0.513637i | 0.0129067 | − | 0.0177645i | ||||
\(837\) | 1.07916 | − | 6.81356i | 0.0373013 | − | 0.235511i | ||||
\(838\) | 4.53758 | − | 28.6492i | 0.156748 | − | 0.989669i | ||||
\(839\) | −36.5281 | − | 26.5392i | −1.26109 | − | 0.916235i | −0.262279 | − | 0.964992i | \(-0.584474\pi\) |
−0.998811 | + | 0.0487567i | \(0.984474\pi\) | |||||||
\(840\) | 0.477252 | − | 3.15627i | 0.0164668 | − | 0.108902i | ||||
\(841\) | −17.9718 | + | 13.0573i | −0.619718 | + | 0.450251i | ||||
\(842\) | −12.8695 | − | 25.2579i | −0.443513 | − | 0.870443i | ||||
\(843\) | −0.691980 | + | 0.691980i | −0.0238331 | + | 0.0238331i | ||||
\(844\) | 7.13605 | + | 2.31864i | 0.245633 | + | 0.0798110i | ||||
\(845\) | 19.6496 | − | 44.2305i | 0.675967 | − | 1.52158i | ||||
\(846\) | 11.8308 | − | 3.84405i | 0.406750 | − | 0.132161i | ||||
\(847\) | −5.52051 | − | 20.1038i | −0.189687 | − | 0.690773i | ||||
\(848\) | 1.71938 | + | 10.8557i | 0.0590437 | + | 0.372787i | ||||
\(849\) | − | 1.86918i | − | 0.0641501i | ||||||
\(850\) | −30.1613 | + | 13.4875i | −1.03452 | + | 0.462617i | ||||
\(851\) | 6.81030 | 0.233454 | ||||||||
\(852\) | 0.0366603 | + | 0.231464i | 0.00125596 | + | 0.00792982i | ||||
\(853\) | −23.9389 | − | 12.1975i | −0.819652 | − | 0.417634i | −0.00670974 | − | 0.999977i | \(-0.502136\pi\) |
−0.812943 | + | 0.582344i | \(0.802136\pi\) | |||||||
\(854\) | −10.1490 | + | 17.8329i | −0.347293 | + | 0.610230i | ||||
\(855\) | −0.462165 | − | 2.16565i | −0.0158057 | − | 0.0740638i | ||||
\(856\) | 13.9238 | − | 42.8530i | 0.475905 | − | 1.46468i | ||||
\(857\) | −11.5482 | − | 11.5482i | −0.394478 | − | 0.394478i | 0.481802 | − | 0.876280i | \(-0.339982\pi\) |
−0.876280 | + | 0.481802i | \(0.839982\pi\) | |||||||
\(858\) | −5.04326 | + | 2.56967i | −0.172174 | + | 0.0877271i | ||||
\(859\) | −31.0027 | + | 22.5248i | −1.05780 | + | 0.768536i | −0.973680 | − | 0.227920i | \(-0.926808\pi\) |
−0.0841192 | + | 0.996456i | \(0.526808\pi\) | |||||||
\(860\) | 4.23348 | − | 6.53061i | 0.144360 | − | 0.222692i | ||||
\(861\) | 0.210528 | + | 1.89030i | 0.00717476 | + | 0.0644214i | ||||
\(862\) | 7.02146 | − | 44.3318i | 0.239152 | − | 1.50995i | ||||
\(863\) | 5.35003 | + | 0.847361i | 0.182117 | + | 0.0288445i | 0.246827 | − | 0.969060i | \(-0.420612\pi\) |
−0.0647097 | + | 0.997904i | \(0.520612\pi\) | |||||||
\(864\) | 2.07739 | + | 1.50931i | 0.0706743 | + | 0.0513479i | ||||
\(865\) | −2.48521 | − | 46.6937i | −0.0844996 | − | 1.58763i | ||||
\(866\) | 4.61613 | + | 6.35356i | 0.156863 | + | 0.215903i | ||||
\(867\) | 1.72840 | − | 0.880665i | 0.0586997 | − | 0.0299090i | ||||
\(868\) | 7.55567 | + | 0.349051i | 0.256456 | + | 0.0118475i | ||||
\(869\) | 22.1302 | + | 7.19053i | 0.750715 | + | 0.243922i | ||||
\(870\) | 0.133707 | − | 1.28217i | 0.00453309 | − | 0.0434696i | ||||
\(871\) | −5.35236 | + | 1.73909i | −0.181358 | + | 0.0589268i | ||||
\(872\) | 9.57351 | + | 4.87795i | 0.324200 | + | 0.165188i | ||||
\(873\) | 38.7461 | − | 6.13678i | 1.31136 | − | 0.207699i | ||||
\(874\) | 0.410238 | 0.0138765 | ||||||||
\(875\) | −10.3618 | + | 27.7062i | −0.350292 | + | 0.936641i | ||||
\(876\) | −0.159042 | −0.00537352 | ||||||||
\(877\) | 13.5659 | − | 2.14862i | 0.458087 | − | 0.0725539i | 0.0768735 | − | 0.997041i | \(-0.475506\pi\) |
0.381214 | + | 0.924487i | \(0.375506\pi\) | |||||||
\(878\) | −39.5272 | − | 20.1401i | −1.33398 | − | 0.679695i | ||||
\(879\) | −2.37573 | + | 0.771922i | −0.0801315 | + | 0.0260363i | ||||
\(880\) | −2.95479 | + | 28.3347i | −0.0996059 | + | 0.955161i | ||||
\(881\) | −43.0701 | − | 13.9943i | −1.45107 | − | 0.471481i | −0.525740 | − | 0.850645i | \(-0.676212\pi\) |
−0.925330 | + | 0.379164i | \(0.876212\pi\) | |||||||
\(882\) | 16.5932 | + | 19.9795i | 0.558721 | + | 0.672744i | ||||
\(883\) | −22.8248 | + | 11.6298i | −0.768117 | + | 0.391375i | −0.793709 | − | 0.608297i | \(-0.791853\pi\) |
0.0255923 | + | 0.999672i | \(0.491853\pi\) | |||||||
\(884\) | 8.01207 | + | 11.0277i | 0.269475 | + | 0.370901i | ||||
\(885\) | −0.247047 | − | 4.64168i | −0.00830439 | − | 0.156028i | ||||
\(886\) | 19.3047 | + | 14.0257i | 0.648553 | + | 0.471201i | ||||
\(887\) | 19.1532 | + | 3.03356i | 0.643101 | + | 0.101857i | 0.469463 | − | 0.882952i | \(-0.344448\pi\) |
0.173638 | + | 0.984810i | \(0.444448\pi\) | |||||||
\(888\) | −0.584209 | + | 3.68855i | −0.0196048 | + | 0.123780i | ||||
\(889\) | 25.8213 | − | 2.87578i | 0.866019 | − | 0.0964506i | ||||
\(890\) | −11.1229 | + | 17.1584i | −0.372842 | + | 0.575150i | ||||
\(891\) | 30.6486 | − | 22.2675i | 1.02677 | − | 0.745990i | ||||
\(892\) | 0.895270 | − | 0.456163i | 0.0299759 | − | 0.0152735i | ||||
\(893\) | −0.790882 | − | 0.790882i | −0.0264658 | − | 0.0264658i | ||||
\(894\) | 0.514582 | − | 1.58372i | 0.0172102 | − | 0.0529676i | ||||
\(895\) | −1.38178 | − | 6.47484i | −0.0461877 | − | 0.216430i | ||||
\(896\) | 8.19872 | − | 14.4060i | 0.273900 | − | 0.481271i | ||||
\(897\) | 0.913806 | + | 0.465607i | 0.0305111 | + | 0.0155462i | ||||
\(898\) | 4.58507 | + | 28.9490i | 0.153006 | + | 0.966041i | ||||
\(899\) | 17.0019 | 0.567046 | ||||||||
\(900\) | −4.35818 | − | 4.82444i | −0.145273 | − | 0.160815i | ||||
\(901\) | 19.8190i | 0.660265i | ||||||||
\(902\) | −3.44870 | − | 21.7742i | −0.114829 | − | 0.725002i | ||||
\(903\) | −0.985835 | − | 3.59007i | −0.0328065 | − | 0.119470i | ||||
\(904\) | −41.5816 | + | 13.5107i | −1.38298 | + | 0.449358i | ||||
\(905\) | −6.80133 | + | 15.3095i | −0.226084 | + | 0.508907i | ||||
\(906\) | −4.39733 | − | 1.42878i | −0.146092 | − | 0.0474681i | ||||
\(907\) | −31.4892 | + | 31.4892i | −1.04558 | + | 1.04558i | −0.0466719 | + | 0.998910i | \(0.514862\pi\) |
−0.998910 | + | 0.0466719i | \(0.985138\pi\) | |||||||
\(908\) | 0.678293 | + | 1.33123i | 0.0225100 | + | 0.0441783i | ||||
\(909\) | 10.0837 | − | 7.32621i | 0.334454 | − | 0.242995i | ||||
\(910\) | −43.0311 | − | 6.50662i | −1.42647 | − | 0.215692i | ||||
\(911\) | 9.95362 | + | 7.23173i | 0.329778 | + | 0.239598i | 0.740337 | − | 0.672236i | \(-0.234666\pi\) |
−0.410558 | + | 0.911834i | \(0.634666\pi\) | |||||||
\(912\) | −0.0270961 | + | 0.171078i | −0.000897243 | + | 0.00566497i | ||||
\(913\) | 1.59993 | − | 10.1016i | 0.0529500 | − | 0.334313i | ||||
\(914\) | 14.7942 | − | 20.3624i | 0.489347 | − | 0.673529i | ||||
\(915\) | −0.882408 | − | 2.29317i | −0.0291715 | − | 0.0758100i | ||||
\(916\) | 3.33160 | + | 4.58555i | 0.110079 | + | 0.151511i | ||||
\(917\) | −54.7865 | − | 20.6420i | −1.80921 | − | 0.681660i | ||||
\(918\) | −4.93855 | − | 4.93855i | −0.162997 | − | 0.162997i | ||||
\(919\) | 30.0175 | + | 9.75328i | 0.990186 | + | 0.321731i | 0.758937 | − | 0.651164i | \(-0.225719\pi\) |
0.231249 | + | 0.972895i | \(0.425719\pi\) | |||||||
\(920\) | 5.80318 | − | 3.35677i | 0.191325 | − | 0.110669i | ||||
\(921\) | 0.0997578 | + | 0.307023i | 0.00328713 | + | 0.0101167i | ||||
\(922\) | −18.1267 | + | 35.5756i | −0.596971 | + | 1.17162i | ||||
\(923\) | 17.5648 | − | 2.78199i | 0.578152 | − | 0.0915703i | ||||
\(924\) | −0.600740 | − | 0.658933i | −0.0197629 | − | 0.0216773i | ||||
\(925\) | 12.3492 | − | 32.3280i | 0.406040 | − | 1.06294i | ||||
\(926\) | 9.92586 | 0.326184 | ||||||||
\(927\) | 8.05811 | + | 50.8769i | 0.264663 | + | 1.67102i | ||||
\(928\) | −2.87311 | + | 5.63879i | −0.0943144 | + | 0.185102i | ||||
\(929\) | 9.92828 | + | 30.5561i | 0.325736 | + | 1.00251i | 0.971107 | + | 0.238644i | \(0.0767028\pi\) |
−0.645371 | + | 0.763869i | \(0.723297\pi\) | |||||||
\(930\) | 2.15934 | − | 2.40212i | 0.0708075 | − | 0.0787685i | ||||
\(931\) | 0.923286 | − | 2.14487i | 0.0302595 | − | 0.0702953i | ||||
\(932\) | −0.519419 | + | 0.519419i | −0.0170141 | + | 0.0170141i | ||||
\(933\) | −1.17942 | + | 0.600944i | −0.0386125 | + | 0.0196740i | ||||
\(934\) | 14.9225 | − | 10.8418i | 0.488278 | − | 0.354755i | ||||
\(935\) | −13.2551 | + | 49.6303i | −0.433489 | + | 1.62308i | ||||
\(936\) | 31.2946 | − | 43.0733i | 1.02289 | − | 1.40789i | ||||
\(937\) | 26.8426 | + | 4.25145i | 0.876910 | + | 0.138889i | 0.578631 | − | 0.815590i | \(-0.303587\pi\) |
0.298280 | + | 0.954479i | \(0.403587\pi\) | |||||||
\(938\) | 1.73834 | + | 2.64084i | 0.0567587 | + | 0.0862265i | ||||
\(939\) | −0.668669 | + | 0.920344i | −0.0218212 | + | 0.0300343i | ||||
\(940\) | −3.17261 | − | 0.847331i | −0.103479 | − | 0.0276369i | ||||
\(941\) | −18.1249 | − | 24.9468i | −0.590855 | − | 0.813243i | 0.403977 | − | 0.914769i | \(-0.367627\pi\) |
−0.994833 | + | 0.101526i | \(0.967627\pi\) | |||||||
\(942\) | 1.92846 | + | 3.78481i | 0.0628326 | + | 0.123316i | ||||
\(943\) | −2.82455 | + | 2.82455i | −0.0919801 | + | 0.0919801i | ||||
\(944\) | 10.6364 | − | 32.7355i | 0.346185 | − | 1.06545i | ||||
\(945\) | −6.25279 | + | 0.0438271i | −0.203403 | + | 0.00142569i | ||||
\(946\) | 13.3348 | + | 41.0401i | 0.433550 | + | 1.33433i | ||||
\(947\) | 13.3370 | + | 6.79553i | 0.433393 | + | 0.220825i | 0.657056 | − | 0.753842i | \(-0.271801\pi\) |
−0.223663 | + | 0.974667i | \(0.571801\pi\) | |||||||
\(948\) | 0.410259 | − | 0.0649786i | 0.0133246 | − | 0.00211041i | ||||
\(949\) | 12.0690i | 0.391776i | ||||||||
\(950\) | 0.743892 | − | 1.94737i | 0.0241350 | − | 0.0631810i | ||||
\(951\) | 1.47854i | 0.0479448i | ||||||||
\(952\) | 26.6181 | − | 33.2902i | 0.862697 | − | 1.07894i | ||||
\(953\) | 20.8237 | − | 40.8689i | 0.674547 | − | 1.32387i | −0.259161 | − | 0.965834i | \(-0.583446\pi\) |
0.933707 | − | 0.358038i | \(-0.116554\pi\) | |||||||
\(954\) | 13.2269 | − | 4.29769i | 0.428238 | − | 0.139143i | ||||
\(955\) | 18.6303 | + | 32.2081i | 0.602863 | + | 1.04223i | ||||
\(956\) | 1.35146 | − | 4.15936i | 0.0437093 | − | 0.134523i | ||||
\(957\) | −1.41727 | − | 1.41727i | −0.0458139 | − | 0.0458139i | ||||
\(958\) | −15.1826 | − | 29.7975i | −0.490528 | − | 0.962715i | ||||
\(959\) | −1.63225 | + | 7.92012i | −0.0527082 | + | 0.255754i | ||||
\(960\) | 1.26569 | + | 3.28923i | 0.0408500 | + | 0.106160i | ||||
\(961\) | 9.38441 | + | 6.81817i | 0.302723 | + | 0.219941i | ||||
\(962\) | 50.2878 | + | 7.96481i | 1.62135 | + | 0.256796i | ||||
\(963\) | −43.3589 | − | 6.86737i | −1.39722 | − | 0.221298i | ||||
\(964\) | −9.41087 | − | 6.83740i | −0.303104 | − | 0.220218i | ||||
\(965\) | −31.6451 | + | 25.6683i | −1.01869 | + | 0.826292i | ||||
\(966\) | 0.116297 | − | 0.564301i | 0.00374178 | − | 0.0181561i | ||||
\(967\) | 7.21314 | + | 14.1566i | 0.231959 | + | 0.455245i | 0.977420 | − | 0.211304i | \(-0.0677708\pi\) |
−0.745461 | + | 0.666549i | \(0.767771\pi\) | |||||||
\(968\) | 16.9775 | + | 16.9775i | 0.545678 | + | 0.545678i | ||||
\(969\) | −0.0965160 | + | 0.297046i | −0.00310054 | + | 0.00954248i | ||||
\(970\) | 33.7491 | + | 14.9932i | 1.08362 | + | 0.481402i | ||||
\(971\) | −42.9591 | + | 13.9582i | −1.37862 | + | 0.447942i | −0.902216 | − | 0.431284i | \(-0.858061\pi\) |
−0.476406 | + | 0.879225i | \(0.658061\pi\) | |||||||
\(972\) | 0.937539 | − | 1.84002i | 0.0300716 | − | 0.0590188i | ||||
\(973\) | 26.8688 | + | 21.4836i | 0.861373 | + | 0.688734i | ||||
\(974\) | − | 37.5580i | − | 1.20344i | ||||||
\(975\) | 3.86722 | − | 3.49347i | 0.123850 | − | 0.111881i | ||||
\(976\) | − | 18.1947i | − | 0.582397i | ||||||
\(977\) | −28.7282 | + | 4.55010i | −0.919097 | + | 0.145571i | −0.598019 | − | 0.801482i | \(-0.704045\pi\) |
−0.321078 | + | 0.947053i | \(0.604045\pi\) | |||||||
\(978\) | −0.430028 | − | 0.219110i | −0.0137508 | − | 0.00700638i | ||||
\(979\) | 9.82453 | + | 30.2368i | 0.313993 | + | 0.966372i | ||||
\(980\) | −0.806608 | − | 6.80831i | −0.0257662 | − | 0.217484i | ||||
\(981\) | 3.23486 | − | 9.95589i | 0.103281 | − | 0.317867i | ||||
\(982\) | 31.6472 | − | 31.6472i | 1.00990 | − | 1.00990i | ||||
\(983\) | −5.89407 | − | 11.5678i | −0.187992 | − | 0.368954i | 0.777704 | − | 0.628630i | \(-0.216384\pi\) |
−0.965696 | + | 0.259676i | \(0.916384\pi\) | |||||||
\(984\) | −1.28752 | − | 1.77211i | −0.0410445 | − | 0.0564929i | ||||
\(985\) | −5.66162 | + | 8.73367i | −0.180394 | + | 0.278278i | ||||
\(986\) | 10.1176 | − | 13.9257i | 0.322210 | − | 0.443484i | ||||
\(987\) | −1.31210 | + | 0.863690i | −0.0417645 | + | 0.0274915i | ||||
\(988\) | −0.849450 | − | 0.134540i | −0.0270246 | − | 0.00428028i | ||||
\(989\) | 4.59583 | − | 6.32561i | 0.146139 | − | 0.201143i | ||||
\(990\) | 35.9970 | − | 1.91589i | 1.14406 | − | 0.0608910i | ||||
\(991\) | −38.6787 | + | 28.1017i | −1.22867 | + | 0.892681i | −0.996790 | − | 0.0800630i | \(-0.974488\pi\) |
−0.231881 | + | 0.972744i | \(0.574488\pi\) | |||||||
\(992\) | −14.1285 | + | 7.19881i | −0.448579 | + | 0.228563i | ||||
\(993\) | 0.527888 | − | 0.527888i | 0.0167520 | − | 0.0167520i | ||||
\(994\) | −4.12003 | − | 9.10156i | −0.130679 | − | 0.288684i | ||||
\(995\) | 1.44528 | − | 13.8593i | 0.0458183 | − | 0.439371i | ||||
\(996\) | −0.0564171 | − | 0.173634i | −0.00178764 | − | 0.00550181i | ||||
\(997\) | −12.3144 | + | 24.1684i | −0.390002 | + | 0.765422i | −0.999628 | − | 0.0272669i | \(-0.991320\pi\) |
0.609626 | + | 0.792689i | \(0.291320\pi\) | |||||||
\(998\) | 0.872472 | + | 5.50857i | 0.0276176 | + | 0.174371i | ||||
\(999\) | 7.31537 | 0.231448 |
(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 | 175.2.s.a.13.6 | yes | 144 | |
5.2 | odd | 4 | 875.2.s.b.832.6 | 144 | |||
5.3 | odd | 4 | 875.2.s.a.832.13 | 144 | |||
5.4 | even | 2 | 875.2.s.c.293.13 | 144 | |||
7.6 | odd | 2 | inner | 175.2.s.a.13.5 | ✓ | 144 | |
25.2 | odd | 20 | inner | 175.2.s.a.27.5 | yes | 144 | |
25.11 | even | 5 | 875.2.s.b.468.5 | 144 | |||
25.14 | even | 10 | 875.2.s.a.468.14 | 144 | |||
25.23 | odd | 20 | 875.2.s.c.657.14 | 144 | |||
35.13 | even | 4 | 875.2.s.a.832.14 | 144 | |||
35.27 | even | 4 | 875.2.s.b.832.5 | 144 | |||
35.34 | odd | 2 | 875.2.s.c.293.14 | 144 | |||
175.27 | even | 20 | inner | 175.2.s.a.27.6 | yes | 144 | |
175.48 | even | 20 | 875.2.s.c.657.13 | 144 | |||
175.111 | odd | 10 | 875.2.s.b.468.6 | 144 | |||
175.139 | odd | 10 | 875.2.s.a.468.13 | 144 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.s.a.13.5 | ✓ | 144 | 7.6 | odd | 2 | inner | |
175.2.s.a.13.6 | yes | 144 | 1.1 | even | 1 | trivial | |
175.2.s.a.27.5 | yes | 144 | 25.2 | odd | 20 | inner | |
175.2.s.a.27.6 | yes | 144 | 175.27 | even | 20 | inner | |
875.2.s.a.468.13 | 144 | 175.139 | odd | 10 | |||
875.2.s.a.468.14 | 144 | 25.14 | even | 10 | |||
875.2.s.a.832.13 | 144 | 5.3 | odd | 4 | |||
875.2.s.a.832.14 | 144 | 35.13 | even | 4 | |||
875.2.s.b.468.5 | 144 | 25.11 | even | 5 | |||
875.2.s.b.468.6 | 144 | 175.111 | odd | 10 | |||
875.2.s.b.832.5 | 144 | 35.27 | even | 4 | |||
875.2.s.b.832.6 | 144 | 5.2 | odd | 4 | |||
875.2.s.c.293.13 | 144 | 5.4 | even | 2 | |||
875.2.s.c.293.14 | 144 | 35.34 | odd | 2 | |||
875.2.s.c.657.13 | 144 | 175.48 | even | 20 | |||
875.2.s.c.657.14 | 144 | 25.23 | odd | 20 |